Finite Group Databasebeta

← Group #11808842

Character table — Group #11808842

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order1222222233666666666666664444444434444446666666121212121212121212121212121212121212121212121212121212121212121212121212121244444444444444121212121212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-11111-1-111-1-1-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111111111-1-1-1-111-1-111-1-1-1-111-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ17222222222-12222-1-1-122-1-1-1-1200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222200000022000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-12222-1-1-122-1-1-1-1200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000-2-20000000000001111111100000000
χ19222222222-12222-1-1-122-1-1-1-1200000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-1111111112222-2-2000000-2-2000000000000-1-1-1-1111100000000
χ20222222222-12222-1-1-122-1-1-1-1200000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-111111111-2-2-2-222000000220000000000001111-1-1-1-100000000
χ21222222222-12222-1-1-122-1-1-1-1200000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-1111111-1-1-1-1111122-2-222000000-2-2000000000000-1-11111-1-100000000
χ22222222222-12222-1-1-122-1-1-1-1200000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-1111111-1-1-1-11111-2-222-2-20000002200000000000011-1-1-1-11100000000
χ23222222222-12222-1-1-122-1-1-1-1200000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-111111111-1-1-1-122-2-2-2-200000022000000000000-1-111-1-11100000000
χ24222222222-12222-1-1-122-1-1-1-1200000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-111111111-1-1-1-1-2-22222000000-2-200000000000011-1-111-1-100000000
χ2522222222-12-1-1-1-1222-1-12222-122222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000022222200-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1-1-1222-1-12222-122222222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000022-2-2-2-200-1-1-1-1111111110000000000000000
χ2722222222-12-1-1-1-1222-1-12222-122222222-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111000000-2-222-2-2001111-1-1-1-111110000000000000000
χ2822222222-12-1-1-1-1222-1-12222-122222222-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1000000-2-2-2-2220011111111-1-1-1-10000000000000000
χ2922222222-12-1-1-1-1222-1-12222-1-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2-2-2001111111111110000000000000000
χ3022222222-12-1-1-1-1222-1-12222-1-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-111111111000000-2-22222001111-1-1-1-1-1-1-1-10000000000000000
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χ3222222222-12-1-1-1-1222-1-12222-1-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-111111111-2-2-2-22211111111-1-1-1-10000002222-2-200-1-1-1-1-1-1-1-111110000000000000000
χ33222-22-2-2-22222-2-222-22-22-2-2-2-22222-2-2-2-22000000222-2-2-2-20000000000002222-2-2-2-2000000000000000000002-20000000000000000000000002-20000002-20000
χ34222-22-2-2-22222-2-222-22-22-2-2-2-22222-2-2-2-22000000222-2-2-2-20000000000002222-2-2-2-200000000000000000000-22000000000000000000000000-22000000-220000
χ35222-22-2-2-22222-2-222-22-22-2-2-2-2-2-2-2-222222000000222-2-2-2-2000000000000-2-2-2-22222000000000000000000002-20000000000000000000000002-2000000-220000
χ36222-22-2-2-22222-2-222-22-22-2-2-2-2-2-2-2-222222000000222-2-2-2-2000000000000-2-2-2-2222200000000000000000000-22000000000000000000000000-220000002-20000
χ3722-22-22-2-222-2-2222-222-2-22-2-2-222-2-222-2-220000002-2-222-2-200000000000022-2-222-2-20000000000000000002-20000000000000000000000002-20000002-2000000
χ3822-22-22-2-222-2-2222-222-2-22-2-2-222-2-222-2-220000002-2-222-2-200000000000022-2-222-2-2000000000000000000-22000000000000000000000000-22000000-22000000
χ3922-22-22-2-222-2-2222-222-2-22-2-2-2-2-222-2-22220000002-2-222-2-2000000000000-2-222-2-2220000000000000000002-20000000000000000000000002-2000000-22000000
χ4022-22-22-2-222-2-2222-222-2-22-2-2-2-2-222-2-22220000002-2-222-2-2000000000000-2-222-2-222000000000000000000-22000000000000000000000000-220000002-2000000
χ4122-2-2-2-22222-2-2-2-22-2-222-2-222222-2-2-2-22222-200002-2-2-2-22222-2-20000000022-2-2-2-2222-2000022-2-2000000000000002-200000022-2-2000000000000000000000000
χ4222-2-2-2-22222-2-2-2-22-2-222-2-222222-2-2-2-2222-2200002-2-2-2-222-2-2220000000022-2-2-2-222-220000-2-22200000000000000-22000000-2-222000000000000000000000000
χ4322-2-2-2-22222-2-2-2-22-2-222-2-2222-2-22222-2-222-200002-2-2-2-22222-2-200000000-2-22222-2-22-2000022-2-200000000000000-22000000-2-222000000000000000000000000
χ4422-2-2-2-22222-2-2-2-22-2-222-2-2222-2-22222-2-22-2200002-2-2-2-222-2-22200000000-2-22222-2-2-220000-2-222000000000000002-200000022-2-2000000000000000000000000
χ4522-2-2-2-222-1211112-2-2-1-1-2-222-122-2-2-2-222-12-20000-11111-1-1-1-111−i3−i3i3i3−i3−i3i3i3-1-11111-1-12-20000-1-111−i3−i3i3i3−i3−i3i3i30000002-2000000-1-111−i3−i3i3i3−i3−i3i3i30000000000000000
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χ4722-2-2-2-222-1211112-2-2-1-1-2-222-122-2-2-2-222-1-220000-11111-1-111-1-1−i3−i3i3i3i3i3−i3−i3-1-11111-1-1-22000011-1-1−i3−i3i3i3i3i3−i3−i3000000-2200000011-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ4822-2-2-2-222-1211112-2-2-1-1-2-222-122-2-2-2-222-1-220000-11111-1-111-1-1i3i3−i3−i3−i3−i3i3i3-1-11111-1-1-22000011-1-1i3i3−i3−i3−i3−i3i3i3000000-2200000011-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
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χ542-222-2-2-22222-22-2-2-2-2-2-2222-222i−2i2i−2i2i−2i2i−2i2000000-22-22-22-20000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000−2i2i00000000000000000000000000−2i2i000000-22
χ552-222-2-2-22222-22-2-2-2-2-2-2222-22−2i2i−2i2i−2i2i−2i2i2000000-22-22-22-2000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000002i−2i000000000000000000000000002i−2i000000-22
χ562-222-2-2-22222-22-2-2-2-2-2-2222-22−2i2i−2i2i−2i2i−2i2i2000000-22-22-22-2000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000−2i2i00000000000000000000000000−2i2i0000002-2
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χ652-22-2-222-2-12-111-1-2-221-12-2-221−2i2i−2i2i2i−2i2i−2i-100002-21-111-11-1−i3i3−i3i3−i3i3−i3i3-11-11i−ii−i−ii−ii00002-2−i3i3−i3i3−i3i3−i3i3-11-110000000000−2i2i00−33−33−33−33i−ii−i0000000000000000
χ662-22-2-222-2-12-111-1-2-221-12-2-221−2i2i−2i2i2i−2i2i−2i-100002-21-111-11-1i3−i3i3−i3i3−i3i3−i3-11-11i−ii−i−ii−ii00002-2i3−i3i3−i3i3−i3i3−i3-11-110000000000−2i2i003−33−33−33−3i−ii−i0000000000000000
χ672-22-2-222-2-12-111-1-2-221-12-2-221−2i2i−2i2i2i−2i2i−2i-10000-221-111-11-1−i3i3−i3i3i3−i3i3−i31-11-1i−ii−i−ii−ii0000-22−i3i3−i3i3i3−i3i3−i31-11-100000000002i−2i00−33−333−33−3−ii−ii0000000000000000
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χ802-2-222-22-2-121-1-11-22-21-1-22-221−2i2i2i−2i−2i2i2i−2i-100-220011-1-111-1i3−i3−i3i31-1-11−i3i3i3−i3i−i−iii−i−ii00-2200i3−i3−i3i31-1-11−i3i3i3−i3000000002i−2i00003−3−33−iii−i−333−30000000000000000
χ812-2-2-222-2222-22-22-222-2-2-2-22-222i−2i−2i2i−2i2i2i−2i2000000-2-22-222-20000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000002-200000000000000002-20000002i−2i00
χ822-2-2-222-2222-22-22-222-2-2-2-22-222i−2i−2i2i−2i2i2i−2i2000000-2-22-222-20000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000-220000000000000000-22000000−2i2i00
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χ842-2-2-222-2222-22-22-222-2-2-2-22-22−2i2i2i−2i2i−2i−2i2i2000000-2-22-222-2000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000-220000000000000000-220000002i−2i00
χ8544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000014444441111111-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
χ8644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000144-4-4-4-41111111-2-2-2-22222222200000000-2-222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
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χ8844444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000001-4-4-4-444111111122222222-2-2-2-2000000002222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
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χ10044-4-4-4-444-2-22222-222-2-222-2-2-20000000014-400001-1-1-1-111-2-2222i32i3−2i3−2i32i32i3−2i3−2i300000000-22000011-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ10144-4-4-4-444-2-22222-222-2-222-2-2-2000000001-4400001-1-1-1-11122-2-2−2i3−2i32i32i32i32i3−2i3−2i3000000002-20000-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000
χ10244-4-4-4-444-2-22222-222-2-222-2-2-2000000001-4400001-1-1-1-11122-2-22i32i3−2i3−2i3−2i3−2i32i32i3000000002-20000-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000
χ1034-444-4-4-444-24-44-4222-4-4-2-2-22400000000-20000002-22-22-220000000000000000000000000000000000000000004i−4i00000000000000000000000000−2i2i00000000
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χ1054-444-4-4-44-24-22-22-4-4-422444-4-24i−4i4i−4i4i−4i4i−4i-20000002-22-22-22000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1064-444-4-4-44-24-22-22-4-4-422444-4-2−4i4i−4i4i−4i4i−4i4i-20000002-22-22-220000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
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χ1094-44-4-444-4-2-2-222-222-22-2-222-2200000000100004-4-11-1-11-11−2i32i3−2i32i3−2i32i3−2i32i3-22-22000000000000-22i3−i3i3−i3i3−i3i3−i31-11-1000000000000000000000000000000000000000000
χ1104-44-4-444-4-2-2-222-222-22-2-222-2200000000100004-4-11-1-11-112i3−2i32i3−2i32i3−2i32i3−2i3-22-22000000000000-22−i3i3−i3i3−i3i3−i3i31-11-1000000000000000000000000000000000000000000
χ1114-44-4-444-4-2-2-222-222-22-2-222-220000000010000-44-11-1-11-11−2i32i3−2i32i32i3−2i32i3−2i32-22-20000000000002-2i3−i3i3−i3−i3i3−i3i3-11-11000000000000000000000000000000000000000000
χ1124-44-4-444-4-2-2-222-222-22-2-222-220000000010000-44-11-1-11-112i3−2i32i3−2i3−2i32i3−2i32i32-22-20000000000002-2−i3i3−i3i3i3−i3i3−i3-11-11000000000000000000000000000000000000000000
χ1134-4-444-44-44-2-444-42-22-442-22-2-400000000-2004-40022-2-222-200004-4-4400000000000000-22000000-222-20000000000000000000000000000000000000000000000
χ1144-4-444-44-44-2-444-42-22-442-22-2-400000000-200-440022-2-222-20000-444-4000000000000002-20000002-2-220000000000000000000000000000000000000000000000
χ1154-4-444-44-4-2-22-2-222-222-22-22-22000000001004-400-1-111-1-11−2i32i32i3−2i3-222-2−2i32i32i3−2i30000000000-2200i3−i3−i3i31-1-11i3−i3−i3i3000000000000000000000000000000000000000000
χ1164-4-444-44-4-2-22-2-222-222-22-22-22000000001004-400-1-111-1-112i3−2i3−2i32i3-222-22i3−2i3−2i32i30000000000-2200−i3i3i3−i31-1-11−i3i3i3−i3000000000000000000000000000000000000000000
χ1174-4-444-44-4-2-22-2-222-222-22-22-2200000000100-4400-1-111-1-11−2i32i32i3−2i32-2-222i3−2i3−2i32i300000000002-200i3−i3−i3i3-111-1−i3i3i3−i3000000000000000000000000000000000000000000
χ1184-4-444-44-4-2-22-2-222-222-22-22-2200000000100-4400-1-111-1-112i3−2i3−2i32i32-2-22−2i32i32i3−2i300000000002-200−i3i3i3−i3-111-1i3−i3−i3i3000000000000000000000000000000000000000000
χ1194-4-4-444-444-2-44-442-2-2-4-422-22400000000-200000022-22-2-22000000000000000000000000000000000000000000000000004-40000000000000000-220000000000
χ1204-4-4-444-444-2-44-442-2-2-4-422-22400000000-200000022-22-2-2200000000000000000000000000000000000000000000000000-4400000000000000002-20000000000
χ1214-4-4-444-44-242-22-2-44422-4-44-4-24i−4i−4i4i−4i4i4i−4i-200000022-22-2-22000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1224-4-4-444-44-242-22-2-44422-4-44-4-2−4i4i4i−4i4i−4i−4i4i-200000022-22-2-220000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ123888-88-8-8-8-4-4-4-444-4-44-44-44444000000002000000222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1258-888-8-8-88-4-4-44-4444444-4-4-44-4000000002000000-22-22-22-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8-888-88-4-44-44-44-4-44444-44-4000000002000000-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).