Finite Group Databasebeta

← Group #72222634

Character table — Group #72222634

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1122222222244444444444444444444444444488888888888888888888161624242424242424242424242424242424242424242424242432323232323232323636363648484848727296969696144144
order122334466883666668121212121616161624242424484848484848484812122424242424244848484848484848484848482232323232323232329696969696969696969696969696969666666666448824881616612242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ51111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ81111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ911-1111-111111-1-1-1-11-1-111-111-1-111111111-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-11-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-11-111-1-1i−ii−i1-1i−ii−i1-1i−ii−i
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χ1111-1111-111111-1-1-1-11-1-111-111-1-111111111-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-11-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-11-111-1-1−ii−ii-11i−i−ii-11i−i−ii
χ1211-1111-111111-1-1-1-11-1-111-111-1-111111111-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-11-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-11-111-1-1i−ii−i-11−iii−i-11−iii−i
χ1311-1111-111111-1-1-1-11-1-111-111-1-111111111-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-1111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11-11-1-111i−ii−i-11−iii−i-11−ii−ii
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χ1611-1111-111111-1-1-1-11-1-111-111-1-111111111-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-11-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-11-11-1-111i−ii−i1-1i−ii−i1-1i−i−ii
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χ29222-1222-1222-1-12-1-1-122-12-12222-1-1222222-1-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20000222200000000-1-1-1-1-1-1-1-111-2-21111000000-2-200001100
χ30222-1222-1222-1-12-1-1-122-12-12222-1-1222222-1-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20000-2-2-2-2000000001111111111-2-21111000000220000-1-100
χ3122-2222-222222-2-2-2-22-2-222-2-2-2222222-2-2-2-22222-22-2-2-2-222-2-222-2-2-2-2222200000000000000000000000000000000002i−2i2i−2i0000−2i2i000000
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χ3822-22-12-22-122-1-2111-1-212-1-222-2-222-1-1-1-1-1-1-2-2-2-21-1-2111-1-12211-1-1-1-111112-2-2-22200001111-1-1-1-1000000002-2-11-1-1110000-2200001-10000
χ3922-22-12-22-122-1-2111-1-212-1-222-2-222-1-1-1-1-1-1-2-2-2-21-1-2111-1-12211-1-1-1-11111-2222-2-20000-1-1-1-1111100000000-221-111-1-10000-2200001-10000
χ4022-22-12-22-122-1-2111-1-212-1-222-2-222-1-1-1-1-1-1-2-2-2-21-1-2111-1-12211-1-1-1-11111-22-2-22200001111-1-1-1-100000000-221-111-1-100002-20000-110000
χ4122-2-122-2-1222-11-211-1-2-2-12122-2-2-1-122222211111-11-211-1-1-1-1-2-2-1-1-1-111112-200002i2i−2i−2i00000000−i−i−i−iiiii-112-2-1-1110000002i−2i0000−ii00
χ4222-2-122-2-1222-11-211-1-2-2-12122-2-2-1-122222211111-11-211-1-1-1-1-2-2-1-1-1-111112-20000−2i−2i2i2i00000000iiii−i−i−i−i-112-2-1-111000000−2i2i0000i−i00
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.