Finite Group Databasebeta

← Group #11775057

Character table — Group #11775057

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222333344444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212121212122424242424243636363648487272
order12222233446666666666444434444466666666612121212121212121212121212124444121212121212121212121212121212121212121212121212124444488881212121212121212121212122424242424888861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1
χ91111-1-111-1-1-1-1111111-1-1111111ii−i−i-111-1-1-11-1-111-1-1iiii−i−i−i−i-1-1-1-1-1-11111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i1ii−i−iii−i−i11-1-1iiii−i−i−i−i1-1ii−i−iii−i−i1-1-11
χ101111-1-111-1-1-1-1111111-1-1111111ii−i−i-111-1-1-11-1-111-1-1iiii−i−i−i−i-1-1-1-1-1-11111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i1ii−i−i−i−iii11-1-1iiii−i−i−i−i-11−i−iii−i−iii-111-1
χ111111-1-111-1-1-1-1111111-1-1111111−i−iii-111-1-1-11-1-111-1-1−i−i−i−iiiii-1-1-1-1-1-11111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii1−i−iiiii−i−i11-1-1−i−i−i−iiiii-11ii−i−iii−i−i-111-1
χ121111-1-111-1-1-1-1111111-1-1111111−i−iii-111-1-1-11-1-111-1-1−i−i−i−iiiii-1-1-1-1-1-11111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii1−i−iii−i−iii11-1-1−i−i−i−iiiii1-1−i−iii−i−iii1-1-11
χ131111-1-111-1-1-1-1111111-1-1-1-1-1-111ii−i−i-111-1-1-11-1-111-1-1iiii−i−i−i−i-1-11111-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i-1−i−iiiii−i−i-1-111−i−i−i−iiiii1-1ii−i−i−i−iii1-11-1
χ141111-1-111-1-1-1-1111111-1-1-1-1-1-111ii−i−i-111-1-1-11-1-111-1-1iiii−i−i−i−i-1-11111-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i-1−i−iii−i−iii-1-111−i−i−i−iiiii-11−i−iiiii−i−i-11-11
χ151111-1-111-1-1-1-1111111-1-1-1-1-1-111−i−iii-111-1-1-11-1-111-1-1−i−i−i−iiiii-1-11111-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii-1ii−i−iii−i−i-1-111iiii−i−i−i−i-11ii−i−i−i−iii-11-11
χ161111-1-111-1-1-1-1111111-1-1-1-1-1-111−i−iii-111-1-1-11-1-111-1-1−i−i−i−iiiii-1-11111-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii-1ii−i−i−i−iii-1-111iiii−i−i−i−i1-1−i−iiiii−i−i1-11-1
χ1722222222-2-2222222222222222-20000222222222-2-2-2-200000000-2-2-2-22222222222-2-2-2-2-2000000000000-200000000-2-2-2-20000000000000000000000
χ1822222222-2-22222222222-2-2-2-22-20000222222222-2-2-2-200000000-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000020000000022220000000000000000000000
χ192222222-12222-12-122-1220000-122222-1-1-1-1-1-1-1-1-1222222222222-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000222200000000000022-1-1-1-10000-1-100
χ202222222-12222-12-122-1220000-122222-1-1-1-1-1-1-1-1-1222222222222-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-2-2-2-2000000000000-2-2111100001100
χ212222222-12222-12-122-1220000-12-2-2-2-2-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1000000000000-1-1-1-1-1111111111111000002222000000000000-2-2-1-1-1-100001100
χ222222222-12222-12-122-1220000-12-2-2-2-2-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1000000000000-1-1-1-1-111111111111100000-2-2-2-20000000000002211110000-1-100
χ23222222-1222-1-12-12-1-12-1-12222-1222222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ24222222-1222-1-12-12-1-12-1-12222-12-2-2-2-22-1-1-1-12-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-211112-2-2-2-20000-1-1-1-11111111100000000000000
χ25222222-1222-1-12-12-1-12-1-1-2-2-2-2-1222222-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2000011111111111100000000000000
χ26222222-1222-1-12-12-1-12-1-1-2-2-2-2-12-2-2-2-22-1-1-1-12-1-1-1-1-1-1-11111111122-2-2-2-2111111112-1-1-1-1-2-21111-2-21111-2222200001111-1-1-1-1-1-1-1-100000000000000
χ27222222-12-2-2-1-12-12-1-12-1-12222-1-200002-1-1-1-12-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-2-2-222-1-1-1-1-1-1-1-1-2111100−i3−i3i3i300−i3−i3i3i3-2000000001111−i3−i3i3i3−i3−i3i3i300000000000000
χ28222222-12-2-2-1-12-12-1-12-1-12222-1-200002-1-1-1-12-1-1-11111i3i3−i3−i3i3i3−i3−i3-2-2-2-222-1-1-1-1-1-1-1-1-2111100i3i3−i3−i300i3i3−i3−i3-2000000001111i3i3−i3−i3i3i3−i3−i300000000000000
χ29222222-12-2-2-1-12-12-1-12-1-1-2-2-2-2-1-200002-1-1-1-12-1-1-11111−i3−i3i3i3−i3−i3i3i3-2-222-2-211111111-2111100−i3−i3i3i300−i3−i3i3i3200000000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000
χ30222222-12-2-2-1-12-12-1-12-1-1-2-2-2-2-1-200002-1-1-1-12-1-1-11111i3i3−i3−i3i3i3−i3−i3-2-222-2-211111111-2111100i3i3−i3−i300i3i3−i3−i3200000000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000
χ312222-2-22222-2-2222222-2-222222-20000-222-2-2-22-2-2-2-222000000002222-2-22222-2-2-2-2-2-2-222000000000000-200000000-2-2220000000000000000000000
χ322222-2-22222-2-2222222-2-2-2-2-2-22-20000-222-2-2-22-2-2-2-2220000000022-2-222-2-2-2-22222-2-2-22200000000000020000000022-2-20000000000000000000000
χ332222-2-22-1-2-2-2-2-12-122-1-2-20000-122i2i−2i−2i1-1-1111-11122-2-22i2i2i2i−2i−2i−2i−2i11000000000000-1-1-111−i−i−i−i−i−iiiiiii000002i2i−2i−2i0000000000002-2−i−iii0000-1100
χ342222-2-22-1-2-2-2-2-12-122-1-2-20000-122i2i−2i−2i1-1-1111-11122-2-22i2i2i2i−2i−2i−2i−2i11000000000000-1-1-111−i−i−i−i−i−iiiiiii00000−2i−2i2i2i000000000000-22ii−i−i00001-100
χ352222-2-22-1-2-2-2-2-12-122-1-2-20000-12−2i−2i2i2i1-1-1111-11122-2-2−2i−2i−2i−2i2i2i2i2i11000000000000-1-1-111iiiiii−i−i−i−i−i−i000002i2i−2i−2i000000000000-22−i−iii00001-100
χ362222-2-22-1-2-2-2-2-12-122-1-2-20000-12−2i−2i2i2i1-1-1111-11122-2-2−2i−2i−2i−2i2i2i2i2i11000000000000-1-1-111iiiiii−i−i−i−i−i−i00000−2i−2i2i2i0000000000002-2ii−i−i0000-1100
χ372222-2-2-1222112-12-1-12112222-1-20000-2-1-111-2-11111-1-133−3−3−3−3332222-2-2-1-1-1-11111-211-1-10033−3−300−3−333-20000000011-1-133−3−3−3−33300000000000000
χ382222-2-2-1222112-12-1-12112222-1-20000-2-1-111-2-11111-1-1−3−33333−3−32222-2-2-1-1-1-11111-211-1-100−3−3330033−3−3-20000000011-1-1−3−33333−3−300000000000000
χ392222-2-2-1222112-12-1-1211-2-2-2-2-1-20000-2-1-111-2-11111-1-133−3−3−3−33322-2-2221111-1-1-1-1-211-1-10033−3−300−3−333200000000-1-111−3−33333−3−300000000000000
χ402222-2-2-1222112-12-1-1211-2-2-2-2-1-20000-2-1-111-2-11111-1-1−3−33333−3−322-2-2221111-1-1-1-1-211-1-100−3−3330033−3−3200000000-1-11133−3−3−3−33300000000000000
χ412222-2-2-12-2-2112-12-1-12112222-122i2i−2i−2i-2-1-111-2-111-1-111−i−i−i−iiiii-2-2-2-2-2-2-1-1-1-111112-1-1112i2i−i−i−i−i−2i−2iiiii22i2i−2i−2i0000-1-111−i−i−i−iiiii00000000000000
χ422222-2-2-12-2-2112-12-1-12112222-12−2i−2i2i2i-2-1-111-2-111-1-111iiii−i−i−i−i-2-2-2-2-2-2-1-1-1-111112-1-111−2i−2iiiii2i2i−i−i−i−i2−2i−2i2i2i0000-1-111iiii−i−i−i−i00000000000000
χ432222-2-2-12-2-2112-12-1-1211-2-2-2-2-122i2i−2i−2i-2-1-111-2-111-1-111−i−i−i−iiiii-2-222221111-1-1-1-12-1-1112i2i−i−i−i−i−2i−2iiiii-2−2i−2i2i2i000011-1-1iiii−i−i−i−i00000000000000
χ442222-2-2-12-2-2112-12-1-1211-2-2-2-2-12−2i−2i2i2i-2-1-111-2-111-1-111iiii−i−i−i−i-2-222221111-1-1-1-12-1-111−2i−2iiiii2i2i−i−i−i−i-22i2i−2i−2i000011-1-1−i−i−i−iiiii00000000000000
χ452-22-200222i−2i002-2-22-2-2002i2i−2i−2i201+i−1−i1−i−1+i02-2000-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i2-2002i2i−2i−2i00000002i−2i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i01−i−1+i1+i−1−i0000002-21−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ462-22-200222i−2i002-2-22-2-2002i2i−2i−2i20−1−i1+i−1+i1−i02-2000-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i2-2002i2i−2i−2i00000002i−2i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i0−1+i1−i−1−i1+i0000002-2−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ472-22-200222i−2i002-2-22-2-200−2i−2i2i2i201+i−1−i1−i−1+i02-2000-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i-2200−2i−2i2i2i00000002i−2i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i0−1+i1−i−1−i1+i000000-22−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ482-22-200222i−2i002-2-22-2-200−2i−2i2i2i20−1−i1+i−1+i1−i02-2000-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i-2200−2i−2i2i2i00000002i−2i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i01−i−1+i1+i−1−i000000-221−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ492-22-20022−2i2i002-2-22-2-2002i2i−2i−2i201−i−1+i1+i−1−i02-2000-20000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i-22002i2i−2i−2i0000000−2i2i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i0−1−i1+i−1+i1−i000000-22−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ502-22-20022−2i2i002-2-22-2-2002i2i−2i−2i20−1+i1−i−1−i1+i02-2000-20000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2i2i-22002i2i−2i−2i0000000−2i2i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i01+i−1−i1−i−1+i000000-221+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ512-22-20022−2i2i002-2-22-2-200−2i−2i2i2i201−i−1+i1+i−1−i02-2000-20000−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i2-200−2i−2i2i2i0000000−2i2i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i01+i−1−i1−i−1+i0000002-21+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ522-22-20022−2i2i002-2-22-2-200−2i−2i2i2i20−1+i1−i−1−i1+i02-2000-20000−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2i2i2-200−2i−2i2i2i0000000−2i2i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i0−1−i1+i−1+i1−i0000002-2−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ532-22-200-122i−2i−i3i321-2-11-2−i3i32i2i−2i−2i-101+i−1−i1−i−1+i0-11−i3i301−i3i33−3−ii−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ222i−2i2-200−i−iii33−3−303−3−ii1+i−1−i−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ221−i−1+i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ2201−i−1+i1+i−1−i0000−i3i3-11−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ1400000000000000
χ542-22-200-122i−2i−i3i321-2-11-2−i3i32i2i−2i−2i-10−1−i1+i−1+i1−i0-11−i3i301−i3i33−3−iiζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ222i−2i2-200−i−iii33−3−303−3−ii−1−i1+iζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22−1+i1−iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ220−1+i1−i−1−i1+i0000−i3i3-11ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ1400000000000000
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χ1114-4-44-44-240022-42-42-24-2-24-44-4-200000-42-22242-2-20000000000000000-44-22-222-22-20000000000000000000000000000000000000000000000000000
χ1124-4-44-44-240022-42-42-24-2-2-44-44-200000-42-22242-2-200000000000000004-42-22-2-22-220000000000000000000000000000000000000000000000000000
χ11388-8-8008-4000048-4-8-84000000-400000044000-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-800-4-400−4i34i34-4-44444i3−4i300002000000-2-22i3−2i302−2i32i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-800-4-4004i3−4i34-4-4444−4i34i300002000000-2-2−2i32i3022i3−2i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-888-8-4-400-4-44444-4-4440000200000-4-22224-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-88-4-400444444-4-4-4-400002000004-22-2-2-4-222000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.