Finite Group Databasebeta

← Group #11790780

Character table — Group #11790780

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444448888888888888888888888888888888888881818181818181818181818181818181872727272
order122244442233334444444444666666666666121212121212121212121212121212126666666612121212121212121212121212121212121212121212121212121212121212121212121212121212224466666666666666661212121212121212121212121212121244444444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ711111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i
χ101111-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii
χ111111-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−iiiii−i−i−i−i−ii−ii
χ121111-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiii−i−i−i−iiiiii−ii−i
χ131111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiii−i−ii
χ141111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−iii−i
χ151111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-111-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−iii−i
χ161111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-111-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−ii
χ1722222222222-1-1-1222222222222-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000
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χ212222222222-12-1-12222222222-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000000000000000
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χ262222222222-1-12-12222222222-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-2-2-2-21111-2-2111111-2-2111111-2-2111111-2-21100000000000000000000
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χ282222222222-1-12-1-2-2-2-2-2-2-2-222-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-122-1-1-22-221111-2-211-1-1-1-122-1-11111-2-211-1-1-1-122-1-100000000000000000000
χ292222222222-1-1-122222222222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12200000000000000000000
χ302222222222-1-1-122222222222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-2111111-2-2111111-2-2111111-2-2111111-2-200000000000000000000
χ312222222222-1-1-12-2-2-2-2-2-2-2-222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-1222-22-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122111111-2-200000000000000000000
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χ1022-2-2222-2-22-22222000000002-2-2-2-2-2-2-2-2-222222-2-222-2-222-2-222-2-222-22-22-22-2000000000000000000000000000000002-22-22-22-200000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000
χ1032-2-2222-2-2-22222200000000-22-2-2-2-2-2-2-2-222222-2-222-2-222-2-222-2-22-22-22-22-2200000000000000000000000000000000-22-22-22-220000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ1042-2-2222-2-2-22222200000000-22-2-2-2-2-2-2-2-222222-2-222-2-222-2-222-2-22-22-22-22-2200000000000000000000000000000000-22-22-22-22000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ1052-2-22-2-2222-2222200000000-22-2-2-2-2-2-2-2-22222-222-2-222-2-222-2-222-22-22-22-22-200000000000000000000000000000000-22-22-22-220000000000000000000000000000000000002-2-222-2-22000000000000
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χ12344-4-4−4i4i−4i4i00-2-2-24004-400−4i4i00-22-22-224-4222-42i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−4i−4i4i4i0000000000-2200-2200-22004-4002i−2i002i−2i002i−2i00−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ12444-4-4−4i4i−4i4i00-2-2-2400-44004i−4i00-22-22-224-4222-42i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−4i−4i4i4i00000000002-2002-2002-200-4400−2i2i00−2i2i00−2i2i004i−4i0000000000000000000000000000000000000000000000000000000000000000
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χ1344-44-4−4i4i4i−4i004-2-2-2-44004i−4i0000-442-22-22-2-4222−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000-44002-2002-2002-2004i−4i00−2i2i00−2i2i00−2i2i000000000000000000000000000000000000000000000000000000000000000000
χ1354-44-4−4i4i4i−4i00-24-2-24-400−4i4i00002-2-442-22-22-4222i−2i2i−2i−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i00000000-22004-400-2200-22002i−2i00−4i4i002i−2i002i−2i000000000000000000000000000000000000000000000000000000000000000000
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χ1414-4-4444-4-44-44-2-2-2000000004-4-4-42222224-2-2-24-4-44-222-2-222-2-222-24-4-22-22-22000000000000000000000000000000004-4-22-22-2200000000000000000000000000000000000000000000000000000000
χ1424-4-4444-4-44-4-24-2-2000000004-422-4-42222-24-2-2-222-24-4-44-222-2-222-2-224-4-22-2200000000000000000000000000000000-224-4-22-2200000000000000000000000000000000000000000000000000000000
χ1434-4-4444-4-44-4-2-24-2000000004-42222-4-422-2-24-2-222-2-222-24-4-44-222-2-22-224-4-2200000000000000000000000000000000-22-224-4-2200000000000000000000000000000000000000000000000000000000
χ1444-4-4444-4-44-4-2-2-24000000004-4222222-4-4-2-2-24-222-2-222-2-222-24-4-44-22-22-224-400000000000000000000000000000000-22-22-224-400000000000000000000000000000000000000000000000000000000
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χ1484-4-4444-4-4-44-2-2-2400000000-44222222-4-4-2-2-24-222-2-222-2-222-24-4-442-22-22-2-44000000000000000000000000000000002-22-22-2-4400000000000000000000000000000000000000000000000000000000
χ1494-4-44-4-4444-44-2-2-200000000-44-4-42222224-2-2-2-444-42-2-222-2-222-2-224-4-22-22-2200000000000000000000000000000000-442-22-22-200000000000000000000000000000000000000000000000000000000
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χ1514-4-44-4-4444-4-2-24-200000000-442222-4-422-2-24-22-2-222-2-22-444-42-2-22-22-224-4-22000000000000000000000000000000002-22-2-442-200000000000000000000000000000000000000000000000000000000
χ1524-4-44-4-4444-4-2-2-2400000000-44222222-4-4-2-2-242-2-222-2-222-2-22-444-4-22-22-224-4000000000000000000000000000000002-22-22-2-4400000000000000000000000000000000000000000000000000000000
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χ1554-4-44-4-444-44-2-24-2000000004-42222-4-422-2-24-22-2-222-2-22-444-42-2-222-22-2-442-200000000000000000000000000000000-22-224-4-2200000000000000000000000000000000000000000000000000000000
χ1564-4-44-4-444-44-2-2-24000000004-4222222-4-4-2-2-242-2-222-2-222-2-22-444-42-22-22-2-4400000000000000000000000000000000-22-22-224-400000000000000000000000000000000000000000000000000000000

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