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Конечная группа

34 939 байт добавлено, 03:36, 3 июля 2010
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{{Требует доработки
|item1=(исправлено)Необходимо привести таблицы умножения всех конечных групп из не более шести элементов.(исправлено)
}}
''Замечание'': по соглашению в заголовках таблицы 1-ым идёт нейтральный элемент, затем элементы, которые совпадают с обратным, затем остальные.
=== [[Примеры таблиц умножения для конечных групп===1) n = 1{| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big> |-!style="background:#efefef;"| <big>e</big>| <big>e</big>|} 2) n = 2{| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big> !style="background:#efefef;"| <big>a</big> |-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big>|-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>e</big>|} 3) n = 3{| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big> !style="background:#efefef;"| <big>a</big> !style="background:#efefef;"| <big>b</big> |-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big>|-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>e</big>|-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>e</big> || <big>a</big>|} 4) n = 4{| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big> !style="background:#efefef;"| <big>a</big> !style="background:#efefef;"| <big>b</big> !style="background:#efefef;"| <big>c</big> |-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big>|-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>e</big> || <big>c</big> || <big>b</big>|-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>e</big> || <big>a</big>|-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>b</big> || <big>a</big> || <big>e</big>|} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big> !style="background:#efefef;"| <big>a</big> !style="background:#efefef;"| <big>b</big> !style="background:#efefef;"| <big>c</big> |-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big>|-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big>|-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>e</big> || <big>a</big>|-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>e</big> || <big>a</big> || <big>b</big>|} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big> !style="background:#efefef;"| <big>a</big> !style="background:#efefef;"| <big>b</big> !style="background:#efefef;"| <big>c</big> |-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big>|-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>e</big> || <big>c</big> || <big>b</big>|-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>a</big> || <big>e</big>|-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>b</big> || <big>e</big> || <big>a</big>|}5) n = 5{| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big> !style="background:#efefef;"| <big>a</big> !style="background:#efefef;"| <big>b</big> !style="background:#efefef;"| <big>c</big> !style="background:#efefef;"| <big>d</big> |-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big>|-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>e</big>|-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>d</big> || <big>e</big> || <big>a</big>|-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>d</big> || <big>e</big> || <big>a</big> || <big>b</big>|-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big>|} 6) n = 6{| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>e</big> || <big>c</big> || <big>b</big> || <big>f</big> || <big>d</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> || <big>a</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>b</big> || <big>f</big> || <big>d</big> || <big>a</big> || <big>e</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>a</big> || <big>e</big> || <big>c</big> || <big>b</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>e</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>b</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> || <big>a</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>b</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>d</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>e</big> || <big>c</big> || <big>b</big> || <big>f</big> || <big>d</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>a</big> || <big>e</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>b</big> || <big>f</big> || <big>d</big> || <big>e</big> || <big>a</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>a</big> || <big>e</big> || <big>b</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>e</big> || <big>a</big> || <big>c</big> || <big>b</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>e</big> || <big>c</big> || <big>f</big> || <big>b</big> || <big>d</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>f</big> || <big>d</big> || <big>a</big> || <big>e</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>b</big> || <big>d</big> || <big>e</big> || <big>f</big> || <big>a</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>e</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>e</big> || <big>a</big> || <big>c</big> || <big>b</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>e</big> || <big>d</big> || <big>b</big> || <big>f</big> || <big>c</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>d</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>b</big> || <big>f</big> || <big>d</big> || <big>e</big> || <big>a</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>a</big> || <big>e</big> || <big>c</big> || <big>b</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>c</big> || <big>a</big> || <big>b</big> || <big>e</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>c</big> || <big>b</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>e</big> || <big>a</big> || <big>f</big> || <big>d</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>b</big> || <big>f</big> || <big>d</big> || <big>a</big> || <big>e</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>e</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>c</big> || <big>e</big> || <big>b</big> || <big>a</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>b</big> || <big>c</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>a</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>b</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>d</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>c</big> || <big>a</big> || <big>e</big> || <big>b</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>c</big> || <big>b</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>a</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>b</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>d</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>e</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>c</big> || <big>a</big> || <big>b</big> || <big>e</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>b</big> || <big>c</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>d</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>b</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>a</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>c</big> || <big>a</big> || <big>e</big> || <big>b</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>c</big> || <big>b</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>d</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>b</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>a</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>e</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>c</big> || <big>a</big> || <big>b</big> || <big>e</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>c</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>e</big> || <big>a</big> || <big>f</big> || <big>c</big> || <big>d</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>b</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>c</big> || <big>a</big> || <big>b</big> || <big>e</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>c</big> || <big>d</big> || <big>b</big> || <big>e</big> || <big>a</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>c</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>e</big> || <big>a</big> || <big>f</big> || <big>c</big> || <big>d</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> || <big>b</big> || <big>a</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>c</big> || <big>a</big> || <big>e</big> || <big>b</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>c</big> || <big>d</big> || <big>b</big> || <big>a</big> || <big>e</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>c</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>e</big> || <big>a</big> || <big>f</big> || <big>c</big> || <big>d</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>d</big> || <big>f</big> || <big>a</big> || <big>e</big> || <big>b</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>c</big> || <big>e</big> || <big>b</big> || <big>a</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>c</big> || <big>d</big> || <big>b</big> || <big>a</big> || <big>e</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>c</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>e</big> || <big>a</big> || <big>f</big> || <big>c</big> || <big>d</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>e</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>c</big> || <big>b</big> || <big>e</big> || <big>a</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>c</big> || <big>d</big> || <big>e</big> || <big>a</big> || <big>b</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big> || <big>f</big> || <big>d</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> || <big>a</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>e</big> || <big>f</big> || <big>d</big> || <big>a</big> || <big>b</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big> || <big>f</big> || <big>d</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>a</big> || <big>e</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>e</big> || <big>f</big> || <big>d</big> || <big>b</big> || <big>a</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>e</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>e</big> || <big>a</big> || <big>c</big> || <big>b</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>d</big> || <big>e</big> || <big>f</big> || <big>c</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>d</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>e</big> || <big>f</big> || <big>d</big> || <big>b</big> || <big>a</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>c</big> || <big>a</big> || <big>e</big> || <big>b</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>d</big> || <big>e</big> || <big>f</big> || <big>c</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>d</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>e</big> || <big>f</big> || <big>d</big> || <big>b</big> || <big>a</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>c</big> || <big>a</big> || <big>e</big> || <big>b</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>d</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> || <big>b</big> || <big>a</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>e</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>e</big> || <big>d</big> || <big>a</big> || <big>c</big> || <big>b</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>d</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>d</big> || <big>f</big> || <big>a</big> || <big>e</big> || <big>b</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>a</big> || <big>e</big> || <big>b</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>e</big> || <big>d</big> || <big>b</big> || <big>c</big> || <big>a</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>a</big> || <big>f</big> || <big>e</big> || <big>d</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>b</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>e</big> || <big>d</big> || <big>b</big> || <big>c</big> || <big>a</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> || <big>e</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>f</big> || <big>e</big> || <big>a</big> || <big>d</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>d</big> || <big>e</big> || <big>f</big> || <big>b</big> || <big>a</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>e</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>e</big> || <big>d</big> || <big>a</big> || <big>c</big> || <big>b</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"|Примеры таблиц умножения для конечных групп]] <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>c</big> || <big>f</big> || <big>e</big> || <big>d</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>a</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>f</big> || <big>d</big> || <big>e</big> || <big>a</big> || <big>b</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>c</big> || <big>f</big> || <big>e</big> || <big>d</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>e</big> || <big>d</big> || <big>f</big> || <big>a</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>f</big> || <big>d</big> || <big>a</big> || <big>b</big> || <big>e</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>e</big> || <big>f</big> || <big>b</big> || <big>a</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>a</big> || <big>e</big> || <big>c</big> || <big>b</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>c</big> || <big>f</big> || <big>e</big> || <big>d</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>a</big> || <big>d</big> || <big>f</big> || <big>e</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>f</big> || <big>d</big> || <big>e</big> || <big>a</big> || <big>b</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>e</big> || <big>b</big> || <big>c</big> || <big>a</big> |} {| border="1" cellpadding="4" align="center"!style="background:#efefef;"| *!style="background:#efefef;"| <big>e</big>!style="background:#efefef;"| <big>a</big>!style="background:#efefef;"| <big>b</big>!style="background:#efefef;"| <big>c</big>!style="background:#efefef;"| <big>d</big>!style="background:#efefef;"| <big>f</big>|-!style="background:#efefef;"| <big>e</big>| <big>e</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>d</big> || <big>f</big> |-!style="background:#efefef;"| <big>a</big>| <big>a</big> || <big>b</big> || <big>c</big> || <big>f</big> || <big>e</big> || <big>d</big> |-!style="background:#efefef;"| <big>b</big>| <big>b</big> || <big>c</big> || <big>d</big> || <big>e</big> || <big>f</big> || <big>a</big> |-!style="background:#efefef;"| <big>c</big>| <big>c</big> || <big>f</big> || <big>e</big> || <big>d</big> || <big>a</big> || <big>b</big> |-!style="background:#efefef;"| <big>d</big>| <big>d</big> || <big>e</big> || <big>f</big> || <big>a</big> || <big>b</big> || <big>c</big> |-!style="background:#efefef;"| <big>f</big>| <big>f</big> || <big>d</big> || <big>a</big> || <big>b</big> || <big>c</big> || <big>e</big> |} 
[[Категория: Теория групп]]
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