Finite Group Databasebeta

← Group #11785317

Character table — Group #11785317

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order12224444223344666666121212121212121236666666121212121212121266881212242424242424242424242424242424242244444444444444121212121212121212121212121212124444661212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ71111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-11-1i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-111-1-1-11−ii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111-1-111-11−ii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-111111-1i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-11-1−ii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-111-1-1-11i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111-1-111-1-111-11i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-111111-1−ii
χ1722222222222-122-1-1222-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-1000000000000-1-10000-1-10000
χ1822222222222-122-1-1222-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000110000110000
χ1922222222222-122-1-1222-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-1-1-2-211-2-2111111111122220000-2-2-2-2000011111111000000000000-1-10000-1-10000
χ2022222222222-122-1-1222-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-1-1-2-211-2-21111111111-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000110000110000
χ212222222222-122222-1-1-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-1000000-1-1-1-1000000
χ222222222222-122222-1-1-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000111111110000001111000000
χ232222222222-122222-1-1-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-1-1-1-2-2-1-111-2-211-2-211111111000022220000-2-2-2-20000000011111111000000-1-1-1-1000000
χ242222222222-122222-1-1-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-1-1-1-2-2-1-111-2-211-2-2111111110000-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000001111000000
χ2522222222-2-222-2-2222222222222222-2-2222-2-2-2-2-2-22222-2-200-2-2000000000000000000000000000000000000000000000000222200000000-2-200
χ2622222222-2-222-2-2222222222222222-2-2222-2-2-2-2-2-22222-2-200-2-2000000000000000000000000000000000000000000000000-2-2-2-2000000002200
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000000000000022-2-200000000-2200
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000000000000-2-222000000002-200
χ292222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-1-21-1-1-1-2122-1-11111112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii22-2-200002i2i−2i−2i0000−i−i−i−iiiii000000000000-1-10000110000
χ302222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-1-21-1-1-1-2122-1-11111112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii-2-2220000−2i−2i2i2i0000iiii−i−i−i−i000000000000110000-1-10000
χ312222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-1-21-1-1-1-2122-1-1111111−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i22-2-20000−2i−2i2i2i0000iiii−i−i−i−i000000000000-1-10000110000
χ322222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-1-21-1-1-1-2122-1-1111111−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i-2-22200002i2i−2i−2i0000−i−i−i−iiiii000000000000110000-1-10000
χ332222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-11-2-1-1-11-2-1-1221111112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii000022-2-200002i2i−2i−2i00000000−i−i−i−iiiii000000-1-111000000
χ342222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-11-2-1-1-11-2-1-1221111112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii0000-2-2220000−2i−2i2i2i00000000iiii−i−i−i−i00000011-1-1000000
χ352222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-11-2-1-1-11-2-1-122111111−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i000022-2-20000−2i−2i2i2i00000000iiii−i−i−i−i000000-1-111000000
χ362222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-11-2-1-1-11-2-1-122111111−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i0000-2-22200002i2i−2i−2i00000000−i−i−i−iiiii00000011-1-1000000
χ3722-2-222-2-22-2222-2-2-22-2-222222-2-2-2-2222-2-22-2-22-22-222-2-22-2002-200000000000000002-22-2000000000000000000000000000000002-200002-20000
χ3822-2-222-2-22-2222-2-2-22-2-222222-2-2-2-2222-2-22-2-22-22-222-2-22-2002-20000000000000000-22-2200000000000000000000000000000000-220000-220000
χ3922-2-222-2-22-22-12-2112-2-2-122-1-1-2-211-12-111-1-212-2-11-1-111-1100-11003−3003−333−3−333−3−32-22-200000000000033−3−333−3−3000000000000-110000-110000
χ4022-2-222-2-22-22-12-2112-2-2-122-1-1-2-211-12-111-1-212-2-11-1-111-1100-11003−3003−333−3−333−3−3-22-22000000000000−3−333−3−3330000000000001-100001-10000
χ4122-2-222-2-22-22-12-2112-2-2-122-1-1-2-211-12-111-1-212-2-11-1-111-1100-1100−3300−33−3−333−3−3332-22-2000000000000−3−333−3−333000000000000-110000-110000
χ4222-2-222-2-22-22-12-2112-2-2-122-1-1-2-211-12-111-1-212-2-11-1-111-1100-1100−3300−33−3−333−3−333-22-2200000000000033−3−333−3−30000000000001-100001-10000
χ4322-2-222-2-2-2222-22-2-22-2-222222-2-2-2-22-2-2-2-2222-22-2222-2-2-2200-22000000000000000000002i−2i2i−2i0000000000000000000000000000002i−2i2i−2i000000
χ4422-2-222-2-2-2222-22-2-22-2-222222-2-2-2-22-2-2-2-2222-22-2222-2-2-2200-2200000000000000000000−2i2i−2i2i000000000000000000000000000000−2i2i−2i2i000000
χ4522-2-222-2-2-22-12-22-2-2-1112-1-12211-2-2-11-211-1-121-1-22-1-1111-1001-13−3003−3003−33−33−33−300002i−2i2i−2i0000000000000000−i3−i3i3i3−i3−i3i3i3000000−ii−ii000000
χ4622-2-222-2-2-22-12-22-2-2-1112-1-12211-2-2-11-211-1-121-1-22-1-1111-1001-13−3003−3003−33−33−33−30000−2i2i−2i2i0000000000000000i3i3−i3−i3i3i3−i3−i3000000i−ii−i000000
χ4722-2-222-2-2-22-12-22-2-2-1112-1-12211-2-2-11-211-1-121-1-22-1-1111-1001-1−3300−3300−33−33−33−3300002i−2i2i−2i0000000000000000i3i3−i3−i3i3i3−i3−i3000000−ii−ii000000
χ4822-2-222-2-2-22-12-22-2-2-1112-1-12211-2-2-11-211-1-121-1-22-1-1111-1001-1−3300−3300−33−33−33−330000−2i2i−2i2i0000000000000000−i3−i3i3i3−i3−i3i3i3000000i−ii−i000000
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χ5022-2-2-2-2222-222-22-2-22-2-22-2-2-2-22222222-2-22-2-2-22-22-2-2222-200-2200000000000000000000−2i2i2i−2i000000000000000000000000000000−2i2i2i−2i000000
χ5122-2-2-2-2222-2-12-22-2-2-111211-2-2-1-122-1-1211-11-21-1-2211-1-1-11001-1−i3i300i3−i300−i3i3−i3i3i3−i3i3−i300002i−2i−2i2i0000000000000000−3−33333−3−3000000−iii−i000000
χ5222-2-2-2-2222-2-12-22-2-2-111211-2-2-1-122-1-1211-11-21-1-2211-1-1-11001-1−i3i300i3−i300−i3i3−i3i3i3−i3i3−i30000−2i2i2i−2i000000000000000033−3−3−3−333000000i−i−ii000000
χ5322-2-2-2-2222-2-12-22-2-2-111211-2-2-1-122-1-1211-11-21-1-2211-1-1-11001-1i3−i300−i3i300i3−i3i3−i3−i3i3−i3i300002i−2i−2i2i000000000000000033−3−3−3−333000000−iii−i000000
χ5422-2-2-2-2222-2-12-22-2-2-111211-2-2-1-122-1-1211-11-21-1-2211-1-1-11001-1i3−i300−i3i300i3−i3i3−i3−i3i3−i3i30000−2i2i2i−2i0000000000000000−3−33333−3−3000000i−i−ii000000
χ5522-2-2-2-222-22222-2-2-22-2-22-2-2-2-222222-2-2-2-22222-22-2-2-222-22002-200000000000000002-2-22000000000000000000000000000000002-20000-220000
χ5622-2-2-2-222-22222-2-2-22-2-22-2-2-2-222222-2-2-2-22222-22-2-2-222-22002-20000000000000000-222-200000000000000000000000000000000-2200002-20000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.