Finite Group Databasebeta

← Group #11775744

Character table — Group #11775744

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order12223344446666663466688881212121212121212121212121212121212122424242424242424242424242424242444448888888844442244242424242424242428888661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-11-11
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-11111-11-11
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-111111-11-1
χ9111111-1-1-1-111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111ii−i−iii−i−i-1-1-1-11-1-11ii−i−iii−i−i1ii−i−i1-1-11
χ10111111-1-1-1-111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−iii−i−iii-1-1-1-1-111-1−i−iii−i−iii1ii−i−i-111-1
χ11111111-1-1-1-111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1ii−i−i−i−iii111111-1-1ii−i−i−i−iii-1−i−iii11-1-1
χ12111111-1-1-1-111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1−i−iiiii−i−i1111-1-111−i−iiiii−i−i-1−i−iii-1-111
χ13111111-1-1-1-111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111ii−i−iii−i−i-1-1-1-1-111-1ii−i−iii−i−i1−i−iii-111-1
χ14111111-1-1-1-111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111−i−iii−i−iii-1-1-1-11-1-11−i−iii−i−iii1−i−iii1-1-11
χ15111111-1-1-1-111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1ii−i−i−i−iii1111-1-111ii−i−i−i−iii-1ii−i−i-1-111
χ16111111-1-1-1-111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−iiiii−i−i111111-1-1−i−iiiii−i−i-1ii−i−i11-1-1
χ1722222222-2-22222222-22220000-2-2-2-2-2-2-2-22222-2-2-2-222000000000000000022220000000022-2-2000000000000-200000000
χ1822222222-2-22222222-22220000-2-2-2-2-2-2-2-22222-2-2-2-2220000000000000000-2-2-2-200000000-2-222000000000000200000000
χ19222222-2-2222222222-2222000022222222-2-2-2-2-2-2-2-2-2-20000000000000000222200000000-2-222000000000000-200000000
χ20222222-2-2222222222-2222000022222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000000022-2-2000000000000200000000
χ2122222-1222222-1-12-1-12-1-1-1222222-1-1-1-1-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000002222000002020000-1-1-1-1000000-10-1
χ2222222-1222222-1-12-1-12-1-1-1222222-1-1-1-1-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-200000-20-200001111000000101
χ2322222-1222222-1-12-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-12-1-1-1-1-1-2-2111111-2-211111100000000222200000-20-20000-1-1-1-1000000101
χ2422222-1222222-1-12-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-12-1-1-1-1-1-2-2111111-2-211111100000000-2-2-2-20000020200001111000000-10-1
χ2522222-1-2-2-2-222-1-12-1-12-1-1-12i2i−2i−2i-2-2111111-2-2112-1-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii000000002i2i−2i−2i00000-2020000−i−iii00000010-1
χ2622222-1-2-2-2-222-1-12-1-12-1-1-12i2i−2i−2i-2-2111111-2-2112-1-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii00000000−2i−2i2i2i0000020-20000ii−i−i000000-101
χ2722222-1-2-2-2-222-1-12-1-12-1-1-1−2i−2i2i2i-2-2111111-2-2112-1-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i000000002i2i−2i−2i0000020-20000−i−iii000000-101
χ2822222-1-2-2-2-222-1-12-1-12-1-1-1−2i−2i2i2i-2-2111111-2-2112-1-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000−2i−2i2i2i00000-2020000ii−i−i00000010-1
χ292222-122222-1-122-12-12-1-1-12222-1-122-1-1-1-1-1-122-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100002222000000002020-1-1-1-1000000000-10-10
χ302222-122222-1-122-12-12-1-1-12222-1-122-1-1-1-1-1-122-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-200000000-20-2011110000000001010
χ312222-122222-1-122-12-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-122-12-1-1-1-111-2-2111111-2-211110000222200000000-20-20-1-1-1-10000000001010
χ322222-122222-1-122-12-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-122-12-1-1-1-111-2-2111111-2-211110000-2-2-2-20000000020201111000000000-10-10
χ332222-12-2-2-2-2-1-122-12-12-1-1-12i2i−2i−2i11-2-2111111-2-2-12-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii00002i2i−2i−2i0000000020-20−i−iii000000000-1010
χ342222-12-2-2-2-2-1-122-12-12-1-1-12i2i−2i−2i11-2-2111111-2-2-12-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii0000−2i−2i2i2i00000000-2020ii−i−i00000000010-10
χ352222-12-2-2-2-2-1-122-12-12-1-1-1−2i−2i2i2i11-2-2111111-2-2-12-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i00002i2i−2i−2i00000000-2020−i−iii00000000010-10
χ362222-12-2-2-2-2-1-122-12-12-1-1-1−2i−2i2i2i11-2-2111111-2-2-12-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i0000−2i−2i2i2i0000000020-20ii−i−i000000000-1010
χ3722-2-222002i−2i2-22-2-2-2202-2-200002i−2i2i−2i2i2i−2i−2i000000000000000000000000002i2i−2i−2i1+i−1−i1−i−1+i1−i−1+i1+i−1−i002-200001+i−1−i1−i−1+i1−i−1+i1+i−1−i000000000
χ3822-2-222002i−2i2-22-2-2-2202-2-200002i−2i2i−2i2i2i−2i−2i000000000000000000000000002i2i−2i−2i−1−i1+i−1+i1−i−1+i1−i−1−i1+i002-20000−1−i1+i−1+i1−i−1+i1−i−1−i1+i000000000
χ3922-2-222002i−2i2-22-2-2-2202-2-200002i−2i2i−2i2i2i−2i−2i00000000000000000000000000−2i−2i2i2i1+i−1−i1−i−1+i−1+i1−i−1−i1+i00-2200001+i−1−i1−i−1+i−1+i1−i−1−i1+i000000000
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χ4122-2-22200−2i2i2-22-2-2-2202-2-20000−2i2i−2i2i−2i−2i2i2i000000000000000000000000002i2i−2i−2i1−i−1+i1+i−1−i−1−i1+i−1+i1−i00-2200001−i−1+i1+i−1−i−1−i1+i−1+i1−i000000000
χ4222-2-22200−2i2i2-22-2-2-2202-2-20000−2i2i−2i2i−2i−2i2i2i000000000000000000000000002i2i−2i−2i−1+i1−i−1−i1+i1+i−1−i1−i−1+i00-220000−1+i1−i−1−i1+i1+i−1−i1−i−1+i000000000
χ4322-2-22200−2i2i2-22-2-2-2202-2-20000−2i2i−2i2i−2i−2i2i2i00000000000000000000000000−2i−2i2i2i1−i−1+i1+i−1−i1+i−1−i1−i−1+i002-200001−i−1+i1+i−1−i1+i−1−i1−i−1+i000000000
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χ452-22-2222i−2i00-22-22-2-220-22-21+i−1−i1−i−1+i000000002i−2i2i−2i00002i−2i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1−i−1+i1−i−1+i1−i1−i−1+i−1+i2i−2i2i−2i000000002-20000000000000001−i−1+i1+i−1−i0000
χ462-22-2222i−2i00-22-22-2-220-22-21+i−1−i1−i−1+i000000002i−2i2i−2i00002i−2i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1−i−1+i1−i−1+i1−i1−i−1+i−1+i−2i2i−2i2i00000000-22000000000000000−1+i1−i−1−i1+i0000
χ472-22-2222i−2i00-22-22-2-220-22-2−1−i1+i−1+i1−i000000002i−2i2i−2i00002i−2i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−1+i1−i−1+i1−i−1+i−1+i1−i1−i2i−2i2i−2i000000002-2000000000000000−1+i1−i−1−i1+i0000
χ482-22-2222i−2i00-22-22-2-220-22-2−1−i1+i−1+i1−i000000002i−2i2i−2i00002i−2i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−2i2i−2i2i00000000-220000000000000001−i−1+i1+i−1−i0000
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χ502-22-222−2i2i00-22-22-2-220-22-21−i−1+i1+i−1−i00000000−2i2i−2i2i0000−2i2i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i1+i−1−i−1−i−2i2i−2i2i000000002-20000000000000001+i−1−i1−i−1+i0000
χ512-22-222−2i2i00-22-22-2-220-22-2−1+i1−i−1−i1+i00000000−2i2i−2i2i0000−2i2i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−1−i1+i−1−i1+i−1−i−1−i1+i1+i2i−2i2i−2i00000000-220000000000000001+i−1−i1−i−1+i0000
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χ564444-24-4-444-2-244-24-2-4-2-2-20000-2-244-2-2-2-222-4-42-4222200000000000000000000000000000000000000000000000000000
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χ804-44-4-24−4i4i002-2-442-4-202-22−2+2i2−2i−2−2i2+2i000000002i−2i−4i4i00002i−2i1−i−1+i−2+2i2−2i1−i1−i−1+i−1+i1+i−1−i−2−2i2+2i1+i1+i−1−i−1−i0000000000000000000000000000000000000
χ814-44-4-2-24i−4i002-22-22210-11-12+2i−2−2i2−2i−2+2i00003-33-3−2i2i−2i2i003i−3ii−i−1−i1+i−1−i1+i2−i−1+2i−2+i1−2i−1+i1−i−1+i1−i−1−2i2+i1+2i−2−i0000000000000000000000000000000000000
χ824-44-4-2-24i−4i002-22-22210-11-12+2i−2−2i2−2i−2+2i0000-33-33−2i2i−2i2i00−3i3ii−i−1−i1+i−1−i1+i−1+2i2−i1−2i−2+i−1+i1−i−1+i1−i2+i−1−2i−2−i1+2i0000000000000000000000000000000000000
χ834-44-4-2-24i−4i002-22-22210-11-1−2−2i2+2i−2+2i2−2i00003-33-3−2i2i−2i2i003i−3ii−i1+i−1−i1+i−1−i−2+i1−2i2−i−1+2i1−i−1+i1−i−1+i1+2i−2−i−1−2i2+i0000000000000000000000000000000000000
χ844-44-4-2-24i−4i002-22-22210-11-1−2−2i2+2i−2+2i2−2i0000-33-33−2i2i−2i2i00−3i3ii−i1+i−1−i1+i−1−i1−2i−2+i−1+2i2−i1−i−1+i1−i−1+i−2−i1+2i2+i−1−2i0000000000000000000000000000000000000
χ854-44-4-2-2−4i4i002-22-22210-11-12−2i−2+2i2+2i−2−2i00003-33-32i−2i2i−2i00−3i3i−ii−1+i1−i−1+i1−i2+i−1−2i−2−i1+2i−1−i1+i−1−i1+i−1+2i2−i1−2i−2+i0000000000000000000000000000000000000
χ864-44-4-2-2−4i4i002-22-22210-11-12−2i−2+2i2+2i−2−2i0000-33-332i−2i2i−2i003i−3i−ii−1+i1−i−1+i1−i−1−2i2+i1+2i−2−i−1−i1+i−1−i1+i2−i−1+2i−2+i1−2i0000000000000000000000000000000000000
χ874-44-4-2-2−4i4i002-22-22210-11-1−2+2i2−2i−2−2i2+2i00003-33-32i−2i2i−2i00−3i3i−ii1−i−1+i1−i−1+i−2−i1+2i2+i−1−2i1+i−1−i1+i−1−i1−2i−2+i−1+2i2−i0000000000000000000000000000000000000
χ884-44-4-2-2−4i4i002-22-22210-11-1−2+2i2−2i−2−2i2+2i0000-33-332i−2i2i−2i003i−3i−ii1−i−1+i1−i−1+i1+2i−2−i−1−2i2+i1+i−1−i1+i−1−i−2+i1−2i2−i−1+2i0000000000000000000000000000000000000
χ894-4-44440000-4-4-4-44440-4-44000000000000000000000000000000000000004-4-44000000000000000000000000000000000
χ904-4-44440000-4-4-4-44440-4-4400000000000000000000000000000000000000-444-4000000000000000000000000000000000
χ9188-8-8-4-4008i−8i-44-4444202-2-20000−4i4i−4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400−8i8i-44-4444202-2-200004i−4i4i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000
χ938-8-888-40000-8-8448-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-88-48000044-8-8-48-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400004444-4-420-2-22000000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400004444-4-420-2-2200000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000000000

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