Finite Group Databasebeta

← Group #11808848

Character table — Group #11808848

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order1222222233666666666666664444444434444446666666121212121212121212121212121212121212121212121212121212121212121212121212121244444444444444121212121212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ5111111111111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ17222222222-12222-1-1-1-12-1-122-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000222200000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-12222-1-1-1-12-1-122-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000000000000001111111100000000
χ19222222222-12222-1-1-1-12-1-122-100000000-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-1-1-1-1-11111111122-2-2000022-2-200000000000000-1-111-1-11100000000
χ20222222222-12222-1-1-1-12-1-122-100000000-122-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-1-1-1-1-111111111-2-2220000-2-2220000000000000011-1-111-1-100000000
χ21222222222-12222-1-1-1-12-1-122-100000000-1-2-222-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-111111111-1-1-1-1111122220000-2-2-2-200000000000000-1-1-1-1111100000000
χ22222222222-12222-1-1-1-12-1-122-100000000-1-2-222-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-111111111-1-1-1-11111-2-2-2-200002222000000000000001111-1-1-1-100000000
χ23222222222-12222-1-1-1-12-1-122-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-11111111111-1-1-1-122-2-20000-2-22200000000000000-1-11111-1-100000000
χ24222222222-12222-1-1-1-12-1-122-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-11111111111-1-1-1-1-2-222000022-2-20000000000000011-1-1-1-11100000000
χ2522222222-12-1-1-1-12222-122-1-1222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100002222000022-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1-1-12222-122-1-1222222222-122-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1111111110000-2-2-2-2000022-1-1-1-1111111110000000000000000
χ2722222222-12-1-1-1-12222-122-1-1222222222-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-11111000022-2-20000-2-21111-1-1-1-111110000000000000000
χ2822222222-12-1-1-1-12222-122-1-1222222222-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-10000-2-2220000-2-211111111-1-1-1-10000000000000000
χ2922222222-12-1-1-1-12222-122-1-12-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-21111111111110000000000000000
χ3022222222-12-1-1-1-12222-122-1-12-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-111111111-2-2-2-222-1-1-1-111111111000022220000-2-21111-1-1-1-1-1-1-1-10000000000000000
χ3122222222-12-1-1-1-12222-122-1-12-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-21111-1-1-1-111110000-2-222000022-1-1-1-11111-1-1-1-10000000000000000
χ3222222222-12-1-1-1-12222-122-1-12-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-222-2-211111111-1-1-1-1000022-2-2000022-1-1-1-1-1-1-1-111110000000000000000
χ33222-22-2-2-22222-2-222-2-222-2-2-2-22222-2-2-2-22000000222-2-2-2-20000000000002222-2-2-2-2000000000000000000002-20000000000000000000000002-20000002-20000
χ34222-22-2-2-22222-2-222-2-222-2-2-2-22222-2-2-2-22000000222-2-2-2-20000000000002222-2-2-2-200000000000000000000-22000000000000000000000000-22000000-220000
χ35222-22-2-2-22222-2-222-2-222-2-2-2-2-2-2-2-222222000000222-2-2-2-2000000000000-2-2-2-22222000000000000000000002-20000000000000000000000002-2000000-220000
χ36222-22-2-2-22222-2-222-2-222-2-2-2-2-2-2-2-222222000000222-2-2-2-2000000000000-2-2-2-2222200000000000000000000-22000000000000000000000000-220000002-20000
χ3722-22-22-2-222-2-2222-22-22-22-2-2-222-2-222-2-220000002-2-222-2-200000000000022-2-222-2-20000000000000000002-20000000000000000000000002-20000002-2000000
χ3822-22-22-2-222-2-2222-22-22-22-2-2-222-2-222-2-220000002-2-222-2-200000000000022-2-222-2-2000000000000000000-22000000000000000000000000-22000000-22000000
χ3922-22-22-2-222-2-2222-22-22-22-2-2-2-2-222-2-22220000002-2-222-2-2000000000000-2-222-2-2220000000000000000002-20000000000000000000000002-2000000-22000000
χ4022-22-22-2-222-2-2222-22-22-22-2-2-2-2-222-2-22220000002-2-222-2-2000000000000-2-222-2-222000000000000000000-22000000000000000000000000-220000002-2000000
χ4122-2-2-2-22222-2-2-2-22-2-222-2-222222-2-2-2-2222002-2002-2-2-2-22222-2-20000000022-2-2-2-2222-20000000022-2-2000000002-200000000000022-2-200000000000000000000
χ4222-2-2-2-22222-2-2-2-22-2-222-2-222222-2-2-2-222200-22002-2-2-2-222-2-2220000000022-2-2-2-222-2200000000-2-22200000000-22000000000000-2-22200000000000000000000
χ4322-2-2-2-22222-2-2-2-22-2-222-2-2222-2-22222-2-22002-2002-2-2-2-22222-2-200000000-2-22222-2-22-20000000022-2-200000000-22000000000000-2-22200000000000000000000
χ4422-2-2-2-22222-2-2-2-22-2-222-2-2222-2-22222-2-2200-22002-2-2-2-222-2-22200000000-2-22222-2-2-2200000000-2-222000000002-200000000000022-2-200000000000000000000
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χ4622-2-2-2-222-1211112-2-22-1-2-2-1-1222-2-2-2-222-1002-200-11111-1-1-1-111i3i3−i3−i3i3i3−i3−i3-1-11111-1-12-20000i3i3−i3−i3-1-111i3i3−i3−i300002-200000000i3i3−i3−i3-1-111i3i3−i3−i30000000000000000
χ4722-2-2-2-222-1211112-2-22-1-2-2-1-1222-2-2-2-222-100-2200-11111-1-111-1-1−i3−i3i3i3i3i3−i3−i3-1-11111-1-1-220000i3i3−i3−i311-1-1−i3−i3i3i30000-2200000000i3i3−i3−i311-1-1−i3−i3i3i30000000000000000
χ4822-2-2-2-222-1211112-2-22-1-2-2-1-1222-2-2-2-222-100-2200-11111-1-111-1-1i3i3−i3−i3−i3−i3i3i3-1-11111-1-1-220000−i3−i3i3i311-1-1i3i3−i3−i30000-2200000000−i3−i3i3i311-1-1i3i3−i3−i30000000000000000
χ4922-2-2-2-222-1211112-2-22-1-2-2-1-12-2-22222-2-2-1002-200-11111-1-1-1-111−i3−i3i3i3−i3−i3i3i311-1-1-1-1112-20000−i3−i3i3i3-1-111−i3−i3i3i30000-2200000000i3i3−i3−i311-1-1i3i3−i3−i30000000000000000
χ5022-2-2-2-222-1211112-2-22-1-2-2-1-12-2-22222-2-2-1002-200-11111-1-1-1-111i3i3−i3−i3i3i3−i3−i311-1-1-1-1112-20000i3i3−i3−i3-1-111i3i3−i3−i30000-2200000000−i3−i3i3i311-1-1−i3−i3i3i30000000000000000
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χ5222-2-2-2-222-1211112-2-22-1-2-2-1-12-2-22222-2-2-100-2200-11111-1-111-1-1i3i3−i3−i3−i3−i3i3i311-1-1-1-111-220000−i3−i3i3i311-1-1i3i3−i3−i300002-200000000i3i3−i3−i3-1-111−i3−i3i3i30000000000000000
χ532-222-2-22-2222-22-2-2-2-2-2-222-2222i−2i2i−2i2i−2i2i−2i22-20000-22-22-22-2000000002-22-22i−2i2i−2i2i−2i2i−2i00002-22-22-2000000000000000000002i−2i2i−2i2i−2i000000000000000000000000
χ542-222-2-22-2222-22-2-2-2-2-2-222-2222i−2i2i−2i2i−2i2i−2i2-220000-22-22-22-200000000-22-222i−2i2i−2i2i−2i2i−2i0000-22-22-2200000000000000000000−2i2i−2i2i−2i2i000000000000000000000000
χ552-222-2-22-2222-22-2-2-2-2-2-222-222−2i2i−2i2i−2i2i−2i2i22-20000-22-22-22-2000000002-22-2−2i2i−2i2i−2i2i−2i2i00002-22-22-200000000000000000000−2i2i−2i2i−2i2i000000000000000000000000
χ562-222-2-22-2222-22-2-2-2-2-2-222-222−2i2i−2i2i−2i2i−2i2i2-220000-22-22-22-200000000-22-22−2i2i−2i2i−2i2i−2i2i0000-22-22-22000000000000000000002i−2i2i−2i2i−2i000000000000000000000000
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χ642-222-2-22-2-12-11-11-2-2-2-21221-12−2i2i−2i2i−2i2i−2i2i-1-2200001-11-11-11−33−333−33−31-11-1i−ii−ii−ii−i0000-221-11-1−33−333−33−30000000000002i−2i−ii−ii−i3i3−i3i3i3−i3i3−i30000000000000000
χ652-22-2-22-22222-2-22-2-222-22-22-2-22i−2i2i−2i−2i2i−2i2i2000000-22-2-22-220000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000002i−2i000000000000000000002i−2i0000002-2
χ662-22-2-22-22222-2-22-2-222-22-22-2-22i−2i2i−2i−2i2i−2i2i2000000-22-2-22-220000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000−2i2i00000000000000000000−2i2i000000-22
χ672-22-2-22-22222-2-22-2-222-22-22-2-2−2i2i−2i2i2i−2i2i−2i2000000-22-2-22-22000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000002i−2i000000000000000000002i−2i000000-22
χ682-22-2-22-22222-2-22-2-222-22-22-2-2−2i2i−2i2i2i−2i2i−2i2000000-22-2-22-22000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000−2i2i00000000000000000000−2i2i0000002-2
χ692-2-222-2-2222-222-2-22-22-2-222-2-22i−2i−2i2i2i−2i−2i2i2000000-2-222-2-220000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000002i−2i000000000000000000002i−2i0000002-200
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χ842-2-2-2222-2-121-11-1-222-21-2-21-12−2i2i2i−2i2i−2i−2i2i-10000−2i2i11-11-1-11−333−3i−i−ii−i3i3i3−i3i−i−ii−iii−i00−2i2i00−i3i3i3−i3−333−3i−i−ii0000002-2000000−333−3−i3i3i3−i3-111-10000000000000000
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χ1204-4-4-4444-4-2-22-22-22-2-222222-2-200000000100004i−4i-1-11-111-1−232323−23−2i2i2i−2i2i3−2i3−2i32i30000000000−2i2i00−i3i3i3−i33−3−33i−i−ii000000000000000000000000000000000000000000
χ1214-4-4-4444-4-2-22-22-22-2-222222-2-20000000010000−4i4i-1-11-111-123−23−23232i−2i−2i2i2i3−2i3−2i32i300000000002i−2i00−i3i3i3−i3−333−3−iii−i000000000000000000000000000000000000000000
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χ12488-88-88-8-8-4-444-4-4-44-44-44-44440000000020000002-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1268-8-888-8-88-4-44-4-444-44-444-4-444000000002000000-2-222-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000

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