Finite Group Databasebeta

← Group #11790813

Character table — Group #11790813

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order122244442233446666661212121212121212366666661212121212121212668812122424242424242424242424242424242444444444121212121212121212121212121212122244666612121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
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−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-111-1-1i−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−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111-1-111−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−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1-1-111−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−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1111111-1-1i−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−iiiiiii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1111111-1-1−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−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1-1-111i−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−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111-1-111i−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−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-111-1-1−ii
χ1722222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1020200-1-100-1-1000000
χ1822222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110-20-200110011000000
χ1922222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-1-1-2-211-2-211111111110000222200000000-1-1-1-1-1-1-1-10-20-200110011000000
χ2022222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-1-1-2-211-2-211111111110000-2-2-2-20000000011111111020200-1-100-1-1000000
χ212222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002020-1-100-1-100000000
χ222222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-20-2011001100000000
χ232222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-1-1-1-2-2-1-111-2-211-2-21111111122220000-1-1-1-1-1-1-1-100000000-20-2011001100000000
χ242222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-1-1-1-2-2-1-111-2-211-2-211111111-2-2-2-2000011111111000000002020-1-100-1-100000000
χ2522222222-2-222-2-2222222222222222-2-2222-2-2-2-2-2-22222-2-200-2-200000000000000000000000000000000000000000000000000002-22-200
χ2622222222-2-222-2-2222222222222222-2-2222-2-2-2-2-2-22222-2-200-2-20000000000000000000000000000000000000000000000000000-22-2200
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000000000000000002-2-2200
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000000000000000-222-200
χ292222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-2122-1-11111112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii00002i2i−2i−2i00000000−i−i−i−iiiii020-200-1-10011000000
χ302222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-2122-1-11111112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii0000−2i−2i2i2i00000000iiii−i−i−i−i0-202001100-1-1000000
χ312222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-2122-1-1111111−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i00002i2i−2i−2i00000000−i−i−i−iiiii0-202001100-1-1000000
χ322222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-2122-1-1111111−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i0000−2i−2i2i2i00000000iiii−i−i−i−i020-200-1-10011000000
χ332222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-2-1-1221111112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii0000000020-20-1-1001100000000
χ342222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-2-1-1221111112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii−2i−2i2i2i0000iiii−i−i−i−i00000000-20201100-1-100000000
χ352222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-2-1-122111111−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i2i2i−2i−2i0000−i−i−i−iiiii00000000-20201100-1-100000000
χ362222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-2-1-122111111−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i−2i−2i2i2i0000iiii−i−i−i−i0000000020-20-1-1001100000000
χ3722-2-222-2-22-2222-2-2-2-2-2222222-2-2-2-222-2-2-22-222-22-222-2-22-2002-200000000000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00000000000000000000000000
χ3822-2-222-2-22-2222-2-2-2-2-2222222-2-2-2-222-2-2-22-222-22-222-2-22-2002-20000000000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000
χ3922-2-222-2-22-2-122-211-2-2-12-1-12211-2-2-1-1-211-112-112-2-1-111-1100-113−3003−30033−3−333−3−32i−2i2i−2i0000−i−iii−i−iii000000000000−i3i300−i3i300000000
χ4022-2-222-2-22-2-122-211-2-2-12-1-12211-2-2-1-1-211-112-112-2-1-111-1100-113−3003−30033−3−333−3−3−2i2i−2i2i0000ii−i−iii−i−i000000000000i3−i300i3−i300000000
χ4122-2-222-2-22-2-122-211-2-2-12-1-12211-2-2-1-1-211-112-112-2-1-111-1100-11−3300−3300−3−333−3−3332i−2i2i−2i0000−i−iii−i−iii000000000000i3−i300i3−i300000000
χ4222-2-222-2-22-2-122-211-2-2-12-1-12211-2-2-1-1-211-112-112-2-1-111-1100-11−3300−3300−3−333−3−333−2i2i−2i2i0000ii−i−iii−i−i000000000000−i3i300−i3i300000000
χ4322-2-222-2-2-2222-22-2-2-2-2222222-2-2-2-22-22-2-222-2-22-2222-2-2-2200-22000000000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ4422-2-222-2-2-2222-22-2-2-2-2222222-2-2-2-22-22-2-222-2-22-2222-2-2-2200-2200000000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ4522-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-1-2-111-121-221-1-1-1111-1001-1003−3003−33−33−33−33−300002i−2i2i−2i00000000−i−iii−i−iii000000−i3i300−i3i3000000
χ4622-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-1-2-111-121-221-1-1-1111-1001-1003−3003−33−33−33−33−30000−2i2i−2i2i00000000ii−i−iii−i−i000000i3−i300i3−i3000000
χ4722-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-1-2-111-121-221-1-1-1111-1001-100−3300−33−33−33−33−3300002i−2i2i−2i00000000−i−iii−i−iii000000i3−i300i3−i3000000
χ4822-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-1-2-111-121-221-1-1-1111-1001-100−3300−33−33−33−33−330000−2i2i−2i2i00000000ii−i−iii−i−i000000−i3i300−i3i3000000
χ4922-2-2-2-2222-222-22-2-2-2-222-2-2-2-2222222-2-2-22-22-22-22-2-2222-200-22000000000000000000002-2-220000000022-2-2-2-222000000000000000000
χ5022-2-2-2-2222-222-22-2-2-2-222-2-2-2-2222222-2-2-22-22-22-22-2-2222-200-2200000000000000000000-222-200000000-2-22222-2-2000000000000000000
χ5122-2-2-2-2222-22-1-22-2-2112-1-2-21122-1-1-12111-1-2-1-221-111-1-1-11001-100−i3i300i3−i3−i3i3−i3i3i3−i3i3−i300002-2-2200000000-1-11111-1-1000000−i3i300i3−i3000000
χ5222-2-2-2-2222-22-1-22-2-2112-1-2-21122-1-1-12111-1-2-1-221-111-1-1-11001-100−i3i300i3−i3−i3i3−i3i3i3−i3i3−i30000-222-20000000011-1-1-1-111000000i3−i300−i3i3000000
χ5322-2-2-2-2222-22-1-22-2-2112-1-2-21122-1-1-12111-1-2-1-221-111-1-1-11001-100i3−i300−i3i3i3−i3i3−i3−i3i3−i3i300002-2-2200000000-1-11111-1-1000000i3−i300−i3i3000000
χ5422-2-2-2-2222-22-1-22-2-2112-1-2-21122-1-1-12111-1-2-1-221-111-1-1-11001-100i3−i300−i3i3i3−i3i3−i3−i3i3−i3i30000-222-20000000011-1-1-1-111000000−i3i300i3−i3000000
χ5522-2-2-2-222-22222-2-2-2-2-222-2-2-2-222222-22-2-222-22-22-2-2-222-22002-200000000000000002-2-22000022-2-2-2-22200000000000000000000000000
χ5622-2-2-2-222-22222-2-2-2-2-222-2-2-2-222222-22-2-222-22-22-2-2-222-22002-20000000000000000-222-20000-2-22222-2-200000000000000000000000000
χ5722-2-2-2-222-22-122-211-2-2-1211-2-2-1-122-11211-1-1-2-112-211-1-11-100-11−i3i300i3−i300−i3−i3i3i3i3i3−i3−i32-2-220000-1-11111-1-1000000000000−i3i300i3−i300000000
χ5822-2-2-2-222-22-122-211-2-2-1211-2-2-1-122-11211-1-1-2-112-211-1-11-100-11−i3i300i3−i300−i3−i3i3i3i3i3−i3−i3-222-2000011-1-1-1-111000000000000i3−i300−i3i300000000
χ5922-2-2-2-222-22-122-211-2-2-1211-2-2-1-122-11211-1-1-2-112-211-1-11-100-11i3−i300−i3i300i3i3−i3−i3−i3−i3i3i32-2-220000-1-11111-1-1000000000000i3−i300−i3i300000000
χ6022-2-2-2-222-22-122-211-2-2-1211-2-2-1-122-11211-1-1-2-112-211-1-11-100-11i3−i300−i3i300i3i3−i3−i3−i3−i3i3i3-222-2000011-1-1-1-111000000000000−i3i300i3−i300000000
χ614444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2111-2-2-2-2-2-21111114411-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ624444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2111-2-2-2-2-2-2111111-4-41122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
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χ704444-4-4-4-444-2-2-4-4-2-2-2-2-2-2222222221-2-2111-2-22222-1-1-1-11100-1-100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ714444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212211122-2-2-2-2-1-1-1-1-1-14i−4i11−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000
χ724444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212211122-2-2-2-2-1-1-1-1-1-1−4i4i112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000
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χ7844-4-444-4-4-44-2-2-442222-2-2-2-2-2-2222212-2-1-11-222-22-211-1-1-1100-1100−232300−23233−33−33−33−3000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.