Finite Group Databasebeta

← Group #14295586

Character table — Group #14295586

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1122244444444445588888888810101020202020303030306060112224444444444558888888881010102020202030303030606011222444444444455888888888101010202020203030303060601122244444444445588888888810101020202020303030306060
order12346451012121215153030442020206060606060602121226664444884412412420201212126060606044202020606060606060412124121212444488226464101012121230303030442020206060606060602121226664444884412412420201212126060606044202020606060606060412124121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111-1-1111111111-1-1-1-1-1-1-1ii−i−ii−i111111111111111-1-1111111111-1-1-1-1-1-1-1ii−i−ii−i111111111111111-1-1111111111-1-1-1-1-1-1-1ii−i−ii−i111111111111111-1-1111111111-1-1-1-1-1-1-1ii−i−ii−i
χ4111111111111111-1-1111111111-1-1-1-1-1-1-1−i−iii−ii111111111111111-1-1111111111-1-1-1-1-1-1-1−i−iii−ii111111111111111-1-1111111111-1-1-1-1-1-1-1−i−iii−ii111111111111111-1-1111111111-1-1-1-1-1-1-1−i−iii−ii
χ511111-1111-1-11111111-1-111-1-1-1-1111-11-1-11111-1-111111-1111-1-11111111-1-111-1-1-1-1111-11-1-11111-1-111111-1111-1-11111111-1-111-1-1-1-1111-11-1-11111-1-111111-1111-1-11111111-1-111-1-1-1-1111-11-1-11111-1-1
χ611111-1111-1-11111111-1-111-1-1-1-1111-11-1-1-1-1-1-11111111-1111-1-11111111-1-111-1-1-1-1111-11-1-1-1-1-1-11111111-1111-1-11111111-1-111-1-1-1-1111-11-1-1-1-1-1-11111111-1111-1-11111111-1-111-1-1-1-1111-11-1-1-1-1-1-111
χ711111-1111-1-11111-1-11-1-111-1-1-1-1-1-1-11-111ii−i−i−ii11111-1111-1-11111-1-11-1-111-1-1-1-1-1-1-11-111ii−i−i−ii11111-1111-1-11111-1-11-1-111-1-1-1-1-1-1-11-111ii−i−i−ii11111-1111-1-11111-1-11-1-111-1-1-1-1-1-1-11-111ii−i−i−ii
χ811111-1111-1-11111-1-11-1-111-1-1-1-1-1-1-11-111−i−iiii−i11111-1111-1-11111-1-11-1-111-1-1-1-1-1-1-11-111−i−iiii−i11111-1111-1-11111-1-11-1-111-1-1-1-1-1-1-11-111−i−iiii−i11111-1111-1-11111-1-11-1-111-1-1-1-1-1-1-11-111−i−iiii−i
χ9222-22022-200222222-200-2-20000-2220-200000000222-22022-200222222-200-2-20000-2220-200000000222-22022-200222222-200-2-20000-2220-200000000222-22022-200222222-200-2-20000-2220-200000000
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χ1422-12-1-222-111-1-1-1-1-2-22-2-2-1-11111-21121-1-100000022-12-1-222-111-1-1-1-1-2-22-2-2-1-11111-21121-1-100000022-12-1-222-111-1-1-1-1-2-22-2-2-1-11111-21121-1-100000022-12-1-222-111-1-1-1-1-2-22-2-2-1-11111-21121-1-1000000
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χ192-220-202-200022-2-22i−2i00000000002i−2i00001+i−1−i1−i−1+i002-220-202-200022-2-22i−2i00000000002i−2i00001+i−1−i1−i−1+i002-220-202-200022-2-22i−2i00000000002i−2i00001+i−1−i1−i−1+i002-220-202-200022-2-22i−2i00000000002i−2i00001+i−1−i1−i−1+i00
χ202-220-202-200022-2-22i−2i00000000002i−2i0000−1−i1+i−1+i1−i002-220-202-200022-2-22i−2i00000000002i−2i0000−1−i1+i−1+i1−i002-220-202-200022-2-22i−2i00000000002i−2i0000−1−i1+i−1+i1−i002-220-202-200022-2-22i−2i00000000002i−2i0000−1−i1+i−1+i1−i00
χ212-220-202-200022-2-2−2i2i0000000000−2i2i00001−i−1+i1+i−1−i002-220-202-200022-2-2−2i2i0000000000−2i2i00001−i−1+i1+i−1−i002-220-202-200022-2-2−2i2i0000000000−2i2i00001−i−1+i1+i−1−i002-220-202-200022-2-2−2i2i0000000000−2i2i00001−i−1+i1+i−1−i00
χ222-220-202-200022-2-2−2i2i0000000000−2i2i0000−1+i1−i−1−i1+i002-220-202-200022-2-2−2i2i0000000000−2i2i0000−1+i1−i−1−i1+i002-220-202-200022-2-2−2i2i0000000000−2i2i0000−1+i1−i−1−i1+i002-220-202-200022-2-2−2i2i0000000000−2i2i0000−1+i1−i−1−i1+i00
χ23444444-1-1444-1-1-1-100-1-1-1-1-1-1-1-1-10000000000000444444-1-1444-1-1-1-100-1-1-1-1-1-1-1-1-10000000000000444444-1-1444-1-1-1-100-1-1-1-1-1-1-1-1-10000000000000444444-1-1444-1-1-1-100-1-1-1-1-1-1-1-1-10000000000000
χ2444444-4-1-14-4-4-1-1-1-100-111-1-11111000000000000044444-4-1-14-4-4-1-1-1-100-111-1-11111000000000000044444-4-1-14-4-4-1-1-1-100-111-1-11111000000000000044444-4-1-14-4-4-1-1-1-100-111-1-111110000000000000
χ25444-440-1-1-400-1-1-1-1001−5511−55−550000000000000444-440-1-1-400-1-1-1-1001−5511−55−550000000000000444-440-1-1-400-1-1-1-1001−5511−55−550000000000000444-440-1-1-400-1-1-1-1001−5511−55−550000000000000
χ26444-440-1-1-400-1-1-1-10015−5115−55−50000000000000444-440-1-1-400-1-1-1-10015−5115−55−50000000000000444-440-1-1-400-1-1-1-10015−5115−55−50000000000000444-440-1-1-400-1-1-1-10015−5115−55−50000000000000
χ2744-24-24-1-1-2-2-21−i1521+i1521−i1521+i15200-1-1-11−i1521+i1521−i1521+i1521+i1521−i152000000000000044-24-24-1-1-2-2-21−i1521+i1521−i1521+i15200-1-1-11−i1521+i1521−i1521+i1521+i1521−i152000000000000044-24-24-1-1-2-2-21−i1521+i1521−i1521+i15200-1-1-11−i1521+i1521−i1521+i1521+i1521−i152000000000000044-24-24-1-1-2-2-21−i1521+i1521−i1521+i15200-1-1-11−i1521+i1521−i1521+i1521+i1521−i1520000000000000
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χ3144-2-4-20-1-12−2i32i31−i1521+i1521−i1521+i1520015−5−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58000000000000044-2-4-20-1-12−2i32i31−i1521+i1521−i1521+i1520015−5−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58000000000000044-2-4-20-1-12−2i32i31−i1521+i1521−i1521+i1520015−5−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58000000000000044-2-4-20-1-12−2i32i31−i1521+i1521−i1521+i1520015−5−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ580000000000000
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χ398-8-4040-220001+i151−i15−1−i15−1+i150000000000000000000000008-8-4040-220001+i151−i15−1−i15−1+i150000000000000000000000008-8-4040-220001+i151−i15−1−i15−1+i150000000000000000000000008-8-4040-220001+i151−i15−1−i15−1+i15000000000000000000000000
χ40111111111111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ42111111111111111-1-1111111111-1-1-1-1-1-1-1ii−i−ii−iiiiiiiiiiiiiiii−i−iiiiiiiiii−i−i−i−i−i−i−i-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111−i−iii−ii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i−i−i−i−i−i−i−iiiiiiii11-1-11-1
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χ15144-2-4-20-1-122i3−2i31+i1521−i1521+i1521−i1520015−5−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ460000000000000−4i−4i2i4i2i0ii−2i23−23−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ5900−i−i5i5ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19−ζ23+ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ7+ζ11−ζ43+ζ59−ζ19+ζ23−ζ31+ζ470000000000000-4-4242011-2−2i32i3−1−i152−1+i152−1−i152−1+i15200-1−551+i1521−i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ4600000000000004i4i−2i−4i−2i0−i−i2i−2323ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ5900ii5−i5−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ59−ζ19+ζ23−ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ7−ζ11+ζ43−ζ59ζ19−ζ23+ζ31−ζ470000000000000
χ1524-4-20204-4000-2-2224i−4i0000000000−2i2i0000000000−4i4i2i0−2i0−4i4i0002i2i−2i−2i4-40000000000-220000000000-4420-20-4400022-2-2−4i4i00000000002i−2i00000000004i−4i−2i02i04i−4i000−2i−2i2i2i-4400000000002-20000000000
χ1534-4-20204-4000-2-222−4i4i00000000002i−2i0000000000−4i4i2i0−2i0−4i4i0002i2i−2i−2i-4400000000002-20000000000-4420-20-4400022-2-24i−4i0000000000−2i2i00000000004i−4i−2i02i04i−4i000−2i−2i2i2i4-40000000000-220000000000
χ1548-880-80-22000-2-222000000000000000000000000−8i8i−8i08i02i−2i0002i2i−2i−2i000000000000000000000000-88-80802-200022-2-20000000000000000000000008i−8i8i0−8i0−2i2i000−2i−2i2i2i000000000000000000000000
χ1558-8-4040-220001−i151+i15−1+i15−1−i15000000000000000000000000−8i8i4i0−4i02i−2i000−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ472ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ47000000000000000000000000-8840-402-2000−1+i15−1−i151−i151+i150000000000000000000000008i−8i−4i04i0−2i2i0002ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ47−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ47000000000000000000000000
χ1568-8-4040-220001+i151−i15−1−i15−1+i15000000000000000000000000−8i8i4i0−4i02i−2i000−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ592ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ59000000000000000000000000-8840-402-2000−1−i15−1+i151+i151−i150000000000000000000000008i−8i−4i04i0−2i2i0002ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ59−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ59000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.