Finite Group Databasebeta

← Group #14298621

Character table — Group #14298621

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444448888888888888888888888101010101212121220202020202024242424242424243030303040404040404040404040404040406060120120120120
order12442346121224561010101220202020610101215202030303030303030606060606060606022444444246612122020202020202020444468888122424242424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1ii−i−i-1iiii−i−i−i−i-1-1ii−i−i
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1−i−iii-1−i−i−i−iiiii-1-1−i−iii
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1ii−i−i-1iiii−i−i−i−i11−i−iii
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1−i−iii-1−i−i−i−iiiii11ii−i−i
χ91111111111-1-11111111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-11-11-1-111-1-111-1-1-1-11-11-1
χ101111111111-1-11111111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-11-11-1-1-111-1-111-1-1-11-11
χ111111111111-1-11111111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-11-11
χ121111111111-1-11111111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11-11-1-1-111-1-111111-11-1
χ131111111111-1-11111111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11i−i−ii1ii−i−i−i−iii11i−i−ii
χ141111111111-1-11111111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11−iii−i1−i−iiiii−i−i11−iii−i
χ151111111111-1-11111111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111i−i−ii1ii−i−i−i−iii-1-1−iii−i
χ161111111111-1-11111111111-1-1-1-11-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111−iii−i1−i−iiiii−i−i-1-1i−i−ii
χ1722222-12-1-1-1222-1222-12222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1000000000000-12222-1-1-1-1-1-1-1-1-1000000
χ1822222-12-1-1-1222-1222-12222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1000000000000-1-2-2-2-2-111111111000000
χ1922222-12-1-1-1222-1222-12222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2111100000000000012i2i−2i−2i1−i−i−i−iiiii000000
χ2022222-12-1-1-1222-1222-12222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-211110000000000001−2i−2i2i2i1iiii−i−i−i−i000000
χ2122222-12-1-1-1-2-22-1222-122221-2-21-1-2-2-1-11111-1-1-1-1-1111122220000-2-2-1-1-1-100000000000012-22-21-1-111-1-111000000
χ2222222-12-1-1-1-2-22-1222-122221-2-21-1-2-2-1-11111-1-1-1-1-1111122220000-2-2-1-1-1-10000000000001-22-22111-1-111-1-1000000
χ2322222-12-1-1-1-2-22-1222-122221-2-21-1-2-2-1-11111-1-1-1-1-11111-2-2-2-20000221111000000000000-12i−2i−2i2i-1−i−iiiii−i−i000000
χ2422222-12-1-1-1-2-22-1222-122221-2-21-1-2-2-1-11111-1-1-1-1-11111-2-2-2-20000221111000000000000-1−2i2i2i−2i-1ii−i−i−i−iii000000
χ252222-22-2222002-22-2-2-222-2-20000200-2-20000222-2-200002-22-2002i−2i002-22-200002i2i−2i−2i0000000000000000002i−2i0000
χ262222-22-2222002-22-2-2-222-2-20000200-2-20000222-2-200002-22-200−2i2i002-22-20000−2i−2i2i2i000000000000000000−2i2i0000
χ272222-22-2222002-22-2-2-222-2-20000200-2-20000222-2-20000-22-22002i−2i00-22-2200002i2i−2i−2i000000000000000000−2i2i0000
χ282222-22-2222002-22-2-2-222-2-20000200-2-20000222-2-20000-22-2200−2i2i00-22-220000−2i−2i2i2i0000000000000000002i−2i0000
χ2922-2-222-22-2-22-222222-2-2-2-2-2222-22-2-22222222-2-2-2-2-2-2-2-222-2-20000-2222-2-2000000000000-20000200000000000000
χ3022-2-222-22-2-22-222222-2-2-2-2-2222-22-2-22222222-2-2-2-2-2-2-2-2-2-22200002-2-2-22200000000000020000-200000000000000
χ3122-2-222-22-2-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-22-2-2-2-2222222-2-200002-222-2-200000000000020000-200000000000000
χ3222-2-222-22-2-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-22-2-2-2-22222-2-2220000-22-2-222000000000000-20000200000000000000
χ3322-2-22-1-2-1112-22-12221-2-2-2-2-1221-1-2-2-1-1-1-1-1-1-11111111122-2-20000-22-1-11100000000000010000-13−33−33−33−3000000
χ3422-2-22-1-2-1112-22-12221-2-2-2-2-1221-1-2-2-1-1-1-1-1-1-11111111122-2-20000-22-1-11100000000000010000-1−33−33−33−33000000
χ3522-2-22-1-2-1112-22-12221-2-2-2-2-1221-1-2-2-1-1-1-1-1-1-111111111-2-22200002-211-1-1000000000000-100001−i3i3−i3i3i3−i3i3−i3000000
χ3622-2-22-1-2-1112-22-12221-2-2-2-2-1221-1-2-2-1-1-1-1-1-1-111111111-2-22200002-211-1-1000000000000-100001i3−i3i3−i3−i3i3−i3i3000000
χ3722-2-22-1-2-111-222-12221-2-2-2-21-2-2-1-122-1-11111-11111-1-1-1-122-2-200002-2-1-111000000000000-1000013−3−333−3−33000000
χ3822-2-22-1-2-111-222-12221-2-2-2-21-2-2-1-122-1-11111-11111-1-1-1-122-2-200002-2-1-111000000000000-100001−333−3−333−3000000
χ3922-2-22-1-2-111-222-12221-2-2-2-21-2-2-1-122-1-11111-11111-1-1-1-1-2-2220000-2211-1-100000000000010000-1−i3i3i3−i3i3−i3−i3i3000000
χ4022-2-22-1-2-111-222-12221-2-2-2-21-2-2-1-122-1-11111-11111-1-1-1-1-2-2220000-2211-1-100000000000010000-1i3−i3−i3i3−i3i3i3−i3000000
χ4122-2-2-2222-2-2002-22-2-22-2-2220000200-2-200002-2-22200002-2-222i−2i00002-2-222i2i−2i−2i00002i2i−2i−2i00000000000000000000
χ4222-2-2-2222-2-2002-22-2-22-2-2220000200-2-200002-2-22200002-2-22−2i2i00002-2-22−2i−2i2i2i0000−2i−2i2i2i00000000000000000000
χ4322-2-2-2222-2-2002-22-2-22-2-2220000200-2-200002-2-2220000-222-22i−2i0000-222-22i2i−2i−2i0000−2i−2i2i2i00000000000000000000
χ4422-2-2-2222-2-2002-22-2-22-2-2220000200-2-200002-2-2220000-222-2−2i2i0000-222-2−2i−2i2i2i00002i2i−2i−2i00000000000000000000
χ45444444444444-14-1-1-14-1-1-1-14-1-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100004444000000-1-1-1-1-1-1-1-1000000000000000000000000
χ46444444444444-14-1-1-14-1-1-1-14-1-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-4-4-4-400000011111111000000000000000000000000
χ474444444444-4-4-14-1-1-14-1-1-1-1-411-4-111-1-11111-1-1-1-1-11111000044-4-4000000-1-1-1-11111000000000000000000000000
χ484444444444-4-4-14-1-1-14-1-1-1-1-411-4-111-1-11111-1-1-1-1-111110000-4-4440000001111-1-1-1-1000000000000000000000000
χ494444-44-444400-1-4-111-4-1-1110−550-1−5511−5−555-1-1-111−5−5550000004i−4i000000−i5i5−i5i5−i−iii000000000000000000000000
χ504444-44-444400-1-4-111-4-1-1110−550-1−5511−5−555-1-1-111−5−555000000−4i4i000000i5−i5i5−i5ii−i−i000000000000000000000000
χ514444-44-444400-1-4-111-4-1-11105−50-15−51155−5−5-1-1-11155−5−50000004i−4i000000i5−i5i5−i5−i−iii000000000000000000000000
χ524444-44-444400-1-4-111-4-1-11105−50-15−51155−5−5-1-1-11155−5−5000000−4i4i000000−i5i5−i5i5ii−i−i000000000000000000000000
χ534444-4-2-4-2-2-200424-4-4244-4-40000-200220000-2-2-22200004-44-4000000-22-2200000000000000000000000000000000
χ544444-4-2-4-2-2-200424-4-4244-4-40000-200220000-2-2-2220000-44-440000002-22-200000000000000000000000000000000
χ5544-4-444-44-4-44-4-14-1-1-1-411114-1-1-4-111-1-1-1-1-1-1-11111111100000000000000−555−5−55−55000000000000000000000000
χ5644-4-444-44-4-44-4-14-1-1-1-411114-1-1-4-111-1-1-1-1-1-1-111111111000000000000005−5−555−55−5000000000000000000000000
χ5744-4-444-44-4-4-44-14-1-1-1-41111-4114-1-1-1-1-11111-11111-1-1-1-100000000000000−555−55−55−5000000000000000000000000
χ5844-4-444-44-4-4-44-14-1-1-1-41111-4114-1-1-1-1-11111-11111-1-1-1-1000000000000005−5−55−55−55000000000000000000000000
χ5944-4-4-4444-4-400-1-4-111411-1-10−550-15−511−5−555-111-1-155−5−500004i−4i00000000−i−iii−i5i5i5−i5000000000000000000000000
χ6044-4-4-4444-4-400-1-4-111411-1-10−550-15−511−5−555-111-1-155−5−50000−4i4i00000000ii−i−ii5−i5−i5i5000000000000000000000000
χ6144-4-4-4444-4-400-1-4-111411-1-105−50-1−551155−5−5-111-1-1−5−55500004i−4i00000000−i−iiii5−i5−i5i5000000000000000000000000
χ6244-4-4-4444-4-400-1-4-111411-1-105−50-1−551155−5−5-111-1-1−5−5550000−4i4i00000000ii−i−i−i5i5i5−i5000000000000000000000000
χ6344-4-4-4-24-22200424-4-4-2-4-4440000-200220000-222-2-200004-4-44000000-222-200000000000000000000000000000000
χ6444-4-4-4-24-22200424-4-4-2-4-4440000-200220000-222-2-20000-444-40000002-2-2200000000000000000000000000000000
χ654-44i−4i040-44i−4i0040-40004i−4i000000400000000-44i−4i00000000000000000000000000002+2i−2−2i2−2i−2+2i00000000000000000000
χ664-44i−4i040-44i−4i0040-40004i−4i000000400000000-44i−4i0000000000000000000000000000−2−2i2+2i−2+2i2−2i00000000000000000000
χ674-4−4i4i040-4−4i4i0040-4000−4i4i000000400000000-4−4i4i00000000000000000000000000002−2i−2+2i2+2i−2−2i00000000000000000000
χ684-4−4i4i040-4−4i4i0040-4000−4i4i000000400000000-4−4i4i0000000000000000000000000000−2+2i2−2i−2−2i2+2i00000000000000000000
χ6988888-48-4-4-488-2-4-2-2-2-4-2-2-2-2-4-2-2-41-2-21111111111111110000000000000000000000000000000000000000000000
χ7088888-48-4-4-4-8-8-2-4-2-2-2-4-2-2-2-2422412211-1-1-1-111111-1-1-1-10000000000000000000000000000000000000000000000
χ718888-8-4-8-4-4-400-24-2224-2-2220−252501−2525-1-155−5−5111-1-155−5−50000000000000000000000000000000000000000000000
χ728888-8-4-8-4-4-400-24-2224-2-222025−250125−25-1-1−5−555111-1-1−5−5550000000000000000000000000000000000000000000000
χ7388-8-88-4-8-4448-8-2-4-2-2-242222-4-2-241221111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ7488-8-88-4-8-444-88-2-4-2-2-242222422-41-2-211-1-1-1-11-1-1-1-111110000000000000000000000000000000000000000000000
χ7588-8-8-8-48-44400-24-222-422-2-20−25250125−25-1-155−5−51-1-111−5−5550000000000000000000000000000000000000000000000
χ7688-8-8-8-48-44400-24-222-422-2-2025−2501−2525-1-1−5−5551-1-11155−5−50000000000000000000000000000000000000000000000
χ778-88i−8i080-88i−8i00-202−25250−2i2i−2i52i50000-200−252500002−2i2i−2i52i500000000000000000000000000000000000000000000000000
χ788-88i−8i080-88i−8i00-20225−250−2i2i2i5−2i50000-20025−2500002−2i2i2i5−2i500000000000000000000000000000000000000000000000000
χ798-88i−8i0-404−4i4i0080-80008i−8i000000-4000000004−4i4i0000000000000000000000000000000000000000000000000000
χ808-88i−8i0-404−4i4i00-202−25250−2i2i−2i52i500001005−5ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58-1i−ii5−i5ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ590000000000000000000000000000000000000000000000
χ818-88i−8i0-404−4i4i00-202−25250−2i2i−2i52i500001005−5−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58-1i−ii5−i5−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ590000000000000000000000000000000000000000000000
χ828-88i−8i0-404−4i4i00-20225−250−2i2i2i5−2i50000100−55−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58-1i−i−i5i5−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ590000000000000000000000000000000000000000000000
χ838-88i−8i0-404−4i4i00-20225−250−2i2i2i5−2i50000100−55ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58-1i−i−i5i5ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ590000000000000000000000000000000000000000000000
χ848-8−8i8i080-8−8i8i00-202−252502i−2i2i5−2i50000-200−2525000022i−2i2i5−2i500000000000000000000000000000000000000000000000000
χ858-8−8i8i080-8−8i8i00-20225−2502i−2i−2i52i50000-20025−25000022i−2i−2i52i500000000000000000000000000000000000000000000000000
χ868-8−8i8i0-4044i−4i0080-8000−8i8i000000-40000000044i−4i0000000000000000000000000000000000000000000000000000
χ878-8−8i8i0-4044i−4i00-202−252502i−2i2i5−2i500001005−5ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58-1−ii−i5i5−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ590000000000000000000000000000000000000000000000
χ888-8−8i8i0-4044i−4i00-202−252502i−2i2i5−2i500001005−5−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58-1−ii−i5i5ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ590000000000000000000000000000000000000000000000
χ898-8−8i8i0-4044i−4i00-20225−2502i−2i−2i52i50000100−55−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58-1−iii5−i5ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ590000000000000000000000000000000000000000000000
χ908-8−8i8i0-4044i−4i00-20225−2502i−2i−2i52i50000100−55ζ2−ζ14−ζ22+ζ26+ζ34−ζ38−ζ46+ζ58−ζ2+ζ14+ζ22−ζ26−ζ34+ζ38+ζ46−ζ58ζ2+ζ14−ζ22−ζ26−ζ34−ζ38+ζ46+ζ58−ζ2−ζ14+ζ22+ζ26+ζ34+ζ38−ζ46−ζ58-1−iii5−i5−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ590000000000000000000000000000000000000000000000

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