Finite Group Databasebeta

← Group #11791074

Character table — Group #11791074

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order1222222233444466666666666666366666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444441212121212121212121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111-1-1-1-11111-11-11111-1-1-1-1-1-11-1-11111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ10111-1-1-1-11111-11-11111-1-1-1-1-1-11-1-11111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i-11-11ii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ11111-1-1-1-11111-11-11111-1-1-1-1-1-11-1-11111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii1-11-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ12111-1-1-1-11111-11-11111-1-1-1-1-1-11-1-11111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii-11-11−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ13111-1-1-1-11111-11-11111-1-1-1-1-1-11-1-11111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii
χ14111-1-1-1-11111-11-11111-1-1-1-1-1-11-1-11111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i
χ15111-1-1-1-11111-11-11111-1-1-1-1-1-11-1-11111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i
χ16111-1-1-1-11111-11-11111-1-1-1-1-1-11-1-11111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i-111-1−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii
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χ19222222222-1222222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ20222222222-1222222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ21222222222-1222222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-20000-1-1-1-111110000000000000000
χ22222222222-1222222-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-22200001111-1-1-1-10000000000000000
χ2322222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ2422222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ2522222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000022-2-200000000-1-1-1-1111100000000
χ2622222222-122222-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-222000000001111-1-1-1-100000000
χ27222-2-2-2-2222-22-222222-2-2-2-2-2-22-2-22222-2-2-2-220000-222-222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000
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χ30222-2-2-2-222-12-22-222-1-1-2-2-2-211-1112-1-1-11111-122-2-2-1112-2-2-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111−2i2i−2i2i0000ii−i−iii−i−i0000000000000000
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χ33222-2-2-2-22-122-22-2-1-1221111-2-22-2-2-1-1-1-11111-122-2-22-2-2-111-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100002-22-200000000-1-111-1-11100000000
χ34222-2-2-2-22-122-22-2-1-1221111-2-22-2-2-1-1-1-11111-122-2-22-2-2-111-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-22-220000000011-1-111-1-100000000
χ35222-2-2-2-22-122-22-2-1-1221111-2-22-2-2-1-1-1-11111-1-2-2222-2-2-111-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100002-2-2200000000-1-11111-1-100000000
χ36222-2-2-2-22-122-22-2-1-1221111-2-22-2-2-1-1-1-11111-1-2-2222-2-2-111-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000-222-20000000011-1-1-1-11100000000
χ372-2-222-2-22222-2-22-2-2-2-222-2-2-2-222222-2-222-2-22000022-222-22222-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-22-2
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χ392-2-222-2-2222-222-2-2-2-2-222-2-2-2-222222-2-222-2-222-22-2-2-22-2-22-2-2-2-222222222-2-222-2-22222-2-2-2-222-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ402-2-222-2-2222-222-2-2-2-2-222-2-2-2-222222-2-222-2-22-22-22-2-22-2-22-2-2-2-2222222-2-222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2222200000000000000000000000000000000
χ412-2-222-2-222-1-222-2-2-21122-2-211-1-1-12-111-1-111-12-22-211-1-2-221111-1-1-12-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-1111100000000−i3i3−i3i3−i3i3−i3i30000000000000000
χ422-2-222-2-222-1-222-2-2-21122-2-211-1-1-12-111-1-111-12-22-211-1-2-221111-1-1-12-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-1111100000000i3−i3i3−i3i3−i3i3−i30000000000000000
χ432-2-222-2-222-1-222-2-2-21122-2-211-1-1-12-111-1-111-1-22-2211-1-2-221111-1-1-12-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-100000000−i3i3−i3i3i3−i3i3−i30000000000000000
χ442-2-222-2-222-1-222-2-2-21122-2-211-1-1-12-111-1-111-1-22-2211-1-2-221111-1-1-12-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-100000000i3−i3i3−i3−i3i3−i3i30000000000000000
χ452-2-222-2-22-12-222-211-2-2-1-111-2-2222-1-111-1-111-12-22-2-2-2211-11111-1-12-1-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-111110000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ462-2-222-2-22-12-222-211-2-2-1-111-2-2222-1-111-1-111-12-22-2-2-2211-11111-1-12-1-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-111110000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ472-2-222-2-22-12-222-211-2-2-1-111-2-2222-1-111-1-111-1-22-22-2-2211-11111-1-12-1-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-10000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ482-2-222-2-22-12-222-211-2-2-1-111-2-2222-1-111-1-111-1-22-22-2-2211-11111-1-12-1-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-10000000000000000i3−i3i3−i3−i3i3−i3i300000000
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χ522-2-2-2-222222-2-222-2-2-2-2-2-222222-2-222-2-2-2-2222-222-2-22-2-22-2-2-222-2-22222-2-222-2-222-2-2-2-2222222-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ532-2-2-2-22222-1-2-222-2-211-2-222-1-1-1112-11111-1-1-12-2-221-11-22-211-1-111-12-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-1000000003−3−333−3−330000000000000000
χ542-2-2-2-22222-1-2-222-2-211-2-222-1-1-1112-11111-1-1-12-2-221-11-22-211-1-111-12-1-122-2-2-1-111-1-1-1-11111-2-22211-1-11111-1-1-1-100000000−333−3−333−30000000000000000
χ552-2-2-2-22222-1-2-222-2-211-2-222-1-1-1112-11111-1-1-1-222-21-11-22-211-1-111-12-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-11111000000003−3−33−333−30000000000000000
χ562-2-2-2-22222-1-2-222-2-211-2-222-1-1-1112-11111-1-1-1-222-21-11-22-211-1-111-12-1-1-2-22211-1-11111-1-1-1-122-2-2-1-111-1-1-1-1111100000000−333−33−3−330000000000000000
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χ69444-4-4-4-44-2-24-44-4-2-2-2-2222222-222-2111-1-1-1-1144-4-4-222-22211-1-1-1-1-2-211-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ70444-4-4-4-44-2-24-44-4-2-2-2-2222222-222-2111-1-1-1-11-4-444-222-22211-1-1-1-1-2-21122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.