Finite Group Databasebeta

← Group #11789993

Character table — Group #11789993

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order12224444223344666666121212121212121236666666121212121212121266881212242424242424242424242424242424244444888812121212121212122424242424242424244466121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1-1-1-1-1-1-1
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
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-111
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
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1i−i11ii−i−iii−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
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1i−i11ii−i−iii−i−iiiii−i−i−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-11-111-1-111-1-1-1-111−ii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-111-1-111-1-111−ii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1i−i11ii−i−iii−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
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1−ii11−i−iii−i−iii−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
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1−ii11−i−iii−i−iii−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-11-11-1-111-1-111-1-111i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1−ii11−i−iii−i−iii−i−i−i−iiiii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-11-111-1-111-1-1-1-111i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1−ii11−i−iii−i−iii−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
χ1722222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002002-1-10000-1-1000000
χ1822222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-200-211000011000000
χ1922222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-1-11111-2-2-2-21111111122220000-1-1-1-1-1-1-1-100000000-200-211000011000000
χ2022222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-2000011111111000000002002-1-10000-1-1000000
χ212222222222-122222-1-1-12-1-12222-1-1-1-1-12-1-1-12-1-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1022000-1-1-1-100000000
χ222222222222-122222-1-1-12-1-12222-1-1-1-1-12-1-1-12-1-122-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110-2-2000111100000000
χ232222222222-122222-1-1-12-1-12222-1-1-1-1-12-1-1-12-1-122-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000222200000000-1-1-1-1-1-1-1-10-2-2000111100000000
χ242222222222-122222-1-1-12-1-12222-1-1-1-1-12-1-1-12-1-122-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000-2-2-2-20000000011111111022000-1-1-1-100000000
χ2522222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-22222-2-200-2-2000000000000000000002-22-20000000022-2-222-2-2000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-22222-2-200-2-200000000000000000000-22-2200000000-2-222-2-222000000000000000000
χ2722222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-1-1-1-211-2-2-1-1-1-11100110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300002-22-200000000-1-111-1-111000000−i3i3−i3i300000000
χ2822222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-1-1-1-211-2-2-1-1-1-11100110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000-22-220000000011-1-111-1-1000000i3−i3i3−i300000000
χ2922222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-1-1-1-211-2-2-1-1-1-11100110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i300002-22-200000000-1-111-1-111000000i3−i3i3−i300000000
χ3022222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-1-1-1-211-2-2-1-1-1-11100110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000-22-220000000011-1-111-1-1000000−i3i3−i3i300000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-2000000000000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-200000000000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ332222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-12-1-1-1211-2-21111-1-1001100003−3−3333−3−3−3−33300002i−2i−2i2i00000000−i−iiiii−i−i000000−i3i3i3−i300000000
χ342222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-12-1-1-1211-2-21111-1-1001100003−3−3333−3−3−3−3330000−2i2i2i−2i00000000ii−i−i−i−iii000000i3−i3−i3i300000000
χ352222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-12-1-1-1211-2-21111-1-100110000−333−3−3−33333−3−300002i−2i−2i2i00000000−i−iiiii−i−i000000i3−i3−i3i300000000
χ362222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-12-1-1-1211-2-21111-1-100110000−333−3−3−33333−3−30000−2i2i2i−2i00000000ii−i−i−i−iii000000−i3i3i3−i300000000
χ372222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-21-1-1-1122-1-11111112i−2i-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii00000000200-2-1-1000011000000
χ382222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-21-1-1-1122-1-11111112i−2i-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii−2i−2i2i2i0000iiii−i−i−i−i00000000-2002110000-1-1000000
χ392222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-21-1-1-1122-1-1111111−2i2i-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i2i2i−2i−2i0000−i−i−i−iiiii00000000-2002110000-1-1000000
χ402222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-21-1-1-1122-1-1111111−2i2i-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i−2i−2i2i2i0000iiii−i−i−i−i00000000200-2-1-1000011000000
χ412222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-1-1-1-2-1-1221111112i−2i-1-12i2i−2i−2i−i−iii−i−i−i−iiiii00002i2i−2i−2i00000000−i−i−i−iiiii02-2000-1-11100000000
χ422222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-1-1-1-2-1-1221111112i−2i-1-12i2i−2i−2i−i−iii−i−i−i−iiiii0000−2i−2i2i2i00000000iiii−i−i−i−i0-2200011-1-100000000
χ432222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-1-1-1-2-1-122111111−2i2i-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i00002i2i−2i−2i00000000−i−i−i−iiiii0-2200011-1-100000000
χ442222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-1-1-1-2-1-122111111−2i2i-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i0000−2i−2i2i2i00000000iiii−i−i−i−i02-2000-1-11100000000
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χ472-2-2222-2-2-2222-22-2-22-2-22-2-2-2-222222-22-2-2-222-22-22-2-222-2200-2200000000000000002-22-2000022-2-222-2-200000000000000000000000000
χ482-2-2222-2-2-2222-22-2-22-2-22-2-2-2-222222-22-2-2-222-22-22-2-222-2200-220000000000000000-22-220000-2-222-2-22200000000000000000000000000
χ492-2-2222-2-2-222-1-22112-2-2-1-2-211-1-122-1-22111-1-1-221-111-1-11-1001-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i32-22-20000-1-111-1-111000000000000−i3i30000−i3i3000000
χ502-2-2222-2-2-222-1-22112-2-2-1-2-211-1-122-1-22111-1-1-221-111-1-11-1001-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-22-22000011-1-111-1-1000000000000i3−i30000i3−i3000000
χ512-2-2222-2-2-222-1-22112-2-2-1-2-211-1-122-1-22111-1-1-221-111-1-11-1001-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i32-22-20000-1-111-1-111000000000000i3−i30000i3−i3000000
χ522-2-2222-2-2-222-1-22112-2-2-1-2-211-1-122-1-22111-1-1-221-111-1-11-1001-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-22-22000011-1-111-1-1000000000000−i3i30000−i3i3000000
χ532-2-22-2-2222-222-22-2-22-2-222222-2-2-2-222-22-2-22-2-22-2222-2-22-200-2200000000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ542-2-22-2-2222-222-22-2-22-2-222222-2-2-2-222-22-2-22-2-22-2222-2-22-200-220000000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ552-2-22-2-2222-22-1-22112-2-2-122-1-111-2-2-12-2-111-11-221-1-1-111-11001-13−3−3300003−33−3−33−332i−2i−2i2i0000−i−iiiii−i−i000000000000−i3i30000i3−i3000000
χ562-2-22-2-2222-22-1-22112-2-2-122-1-111-2-2-12-2-111-11-221-1-1-111-11001-13−3−3300003−33−3−33−33−2i2i2i−2i0000ii−i−i−i−iii000000000000i3−i30000−i3i3000000
χ572-2-22-2-2222-22-1-22112-2-2-122-1-111-2-2-12-2-111-11-221-1-1-111-11001-1−333−30000−33−333−33−32i−2i−2i2i0000−i−iiiii−i−i000000000000i3−i30000−i3i3000000
χ582-2-22-2-2222-22-1-22112-2-2-122-1-111-2-2-12-2-111-11-221-1-1-111-11001-1−333−30000−33−333−33−3−2i2i2i−2i0000ii−i−i−i−iii000000000000−i3i30000i3−i3000000
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χ694444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212221112-2-2-2-2-1-1-1-1-1-14i−4i11−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000
χ704444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212221112-2-2-2-2-1-1-1-1-1-1−4i4i112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.