Finite Group Databasebeta

← Group #14300581

Character table — Group #14300581

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222244444455556688888888810101010101012161616161616161620202020202020202020202020202020202024242424243030404040404040404848606060606060606060120
order122234466651010101212444444412121520203030302212121212220206060606060604444668888121212121212121241010202022412122424242420204444488882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1-1-1-1-11
χ31111111111111111111111-1-1-11111111111111-1-111-1-1-1-1111111-1-1-1-111111111-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1
χ41111111111111111111111-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-11-1-1-1-11111-1
χ511111111111111111111-1-1111111111111111-111111111111111111111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1111111111111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111111-1
χ711111111111111111111-1-1-1-1-1111111111111-1-1-111-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111
χ811111111111111111111-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-11
χ91111111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111ii−i−i-1-1ii−i−iiiii−i−i−i−i11111-1-1-1-1-1ii−i−i11-1ii−i−iii−i−i-1
χ101111111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111−i−iii-1-1−i−iii−i−i−i−iiiii11111-1-1-1-1-1−i−iii11-1−i−iii−i−iii-1
χ111111111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-1ii−i−i-1-1−i−iiiiiii−i−i−i−i-11111-1-1111−i−iii-1-1-1ii−i−i−i−iii1
χ121111111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-1−i−iii-1-1ii−i−i−i−i−i−iiiii-11111-1-1111ii−i−i-1-1-1−i−iiiii−i−i1
χ131111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111111111ii−i−i-1-1ii−i−iiiii−i−i−i−i-1-1-1-1-111-1-1-1ii−i−i-1-11−i−iii−i−iii1
χ141111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111111111−i−iii-1-1−i−iii−i−i−i−iiiii-1-1-1-1-111-1-1-1−i−iii-1-11ii−i−iii−i−i1
χ151111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i-1-1−i−iiiiiii−i−i−i−i1-1-1-1-111111−i−iii111−i−iiiii−i−i-1
χ161111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1−i−iii-1-1ii−i−i−i−i−i−iiiii1-1-1-1-111111ii−i−i111ii−i−i−i−iii-1
χ1722222-2-22222222-2-22222220002-2-2222-2-22222-200-2-200000000-2-20000000000000-2-22222000000000-2000000000
χ1822222-2-22222222-2-22222-2-20002-2-2222-2-22222200-2-200000000-2-2000000000000022-2-2-2-20000000002000000000
χ1922222-2-22222222-2-2-2-2-2-2220002-2-222222-2-2-2-2-200-2-200000000220000000000000-2-222-2-20000000002000000000
χ2022222-2-22222222-2-2-2-2-2-2-2-20002-2-222222-2-2-2-2200-2-20000000022000000000000022-2-222000000000-2000000000
χ212222-122-1-1-12222-1-12222002-1-1-122-1-1-122-1-1-1-1022-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-100000002-1-1-1-1-1-1000000000000
χ222222-122-1-1-12222-1-12222002-1-1-122-1-1-122-1-1-1-1022-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-21111111100000002-1-11111000000000000
χ232222-122-1-1-12222-1-1222200-211-122-1-1-122-1-1-1-10-2-2-1-111112222-1-1-2-2-2-2-1-1-1-1-1-1-1-10000000-2111111000000000000
χ242222-122-1-1-12222-1-1222200-211-122-1-1-122-1-1-1-10-2-2-1-11111-2-2-2-2-1-12222111111110000000-211-1-1-1-1000000000000
χ252222-122-1-1-12222-1-1-2-2-2-2002-1-1-122-1-1-1-2-21111022-1-1-1-1-1-12i2i−2i−2i112i2i−2i−2i−i−i−i−iiiii0000000-211−i−iii000000000000
χ262222-122-1-1-12222-1-1-2-2-2-2002-1-1-122-1-1-1-2-21111022-1-1-1-1-1-1−2i−2i2i2i11−2i−2i2i2iiiii−i−i−i−i0000000-211ii−i−i000000000000
χ272222-122-1-1-12222-1-1-2-2-2-200-211-122-1-1-1-2-211110-2-2-1-111112i2i−2i−2i11−2i−2i2i2i−i−i−i−iiiii00000002-1-1ii−i−i000000000000
χ282222-122-1-1-12222-1-1-2-2-2-200-211-122-1-1-1-2-211110-2-2-1-11111−2i−2i2i2i112i2i−2i−2iiiii−i−i−i−i00000002-1-1−i−iii000000000000
χ2922-2-22002-2-22-22-2002i−2i2i−2i2i−2i000200-2-22002i−2i2i−2i0000000001+i−1−i1−i−1+i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0002i−2i2-200000000001−i−1+i1+i−1−i00000
χ3022-2-22002-2-22-22-2002i−2i2i−2i2i−2i000200-2-22002i−2i2i−2i000000000−1−i1+i−1+i1−i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0002i−2i2-20000000000−1+i1−i−1−i1+i00000
χ3122-2-22002-2-22-22-2002i−2i2i−2i−2i2i000200-2-22002i−2i2i−2i0000000001+i−1−i1−i−1+i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000−2i2i-220000000000−1+i1−i−1−i1+i00000
χ3222-2-22002-2-22-22-2002i−2i2i−2i−2i2i000200-2-22002i−2i2i−2i000000000−1−i1+i−1+i1−i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000−2i2i-2200000000001−i−1+i1+i−1−i00000
χ3322-2-22002-2-22-22-200−2i2i−2i2i2i−2i000200-2-2200−2i2i−2i2i0000000001−i−1+i1+i−1−i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0002i−2i-220000000000−1−i1+i−1+i1−i00000
χ3422-2-22002-2-22-22-200−2i2i−2i2i2i−2i000200-2-2200−2i2i−2i2i000000000−1+i1−i−1−i1+i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0002i−2i-2200000000001+i−1−i1−i−1+i00000
χ3522-2-22002-2-22-22-200−2i2i−2i2i−2i2i000200-2-2200−2i2i−2i2i0000000001−i−1+i1+i−1−i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000−2i2i2-200000000001+i−1−i1−i−1+i00000
χ3622-2-22002-2-22-22-200−2i2i−2i2i−2i2i000200-2-2200−2i2i−2i2i000000000−1+i1−i−1−i1+i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000−2i2i2-20000000000−1−i1+i−1+i1−i00000
χ372-2-2222-2-22-22-2-222-222-2-20000022-2-22-22-222-2-20002-200000000-222i−2i2i−2i0000000000000000002i−2i2i−2i000000000000
χ382-2-2222-2-22-22-2-222-222-2-20000022-2-22-22-222-2-20002-200000000-22−2i2i−2i2i000000000000000000−2i2i−2i2i000000000000
χ392-2-2222-2-22-22-2-222-2-2-2220000022-2-22-2-22-2-2220002-2000000002-22-2-220000000000000000002-2-22000000000000
χ402-2-2222-2-22-22-2-222-2-2-2220000022-2-22-2-22-2-2220002-2000000002-2-222-2000000000000000000-222-2000000000000
χ412-2-222-22-22-22-2-22-2222-2-2000002-22-22-2-2222-2-2000-22000000002-20000000000000000000000000000000002i−2i2i−2i0
χ422-2-222-22-22-22-2-22-2222-2-2000002-22-22-2-2222-2-2000-22000000002-2000000000000000000000000000000000−2i2i−2i2i0
χ432-2-222-22-22-22-2-22-22-2-222000002-22-22-22-2-2-222000-2200000000-220000000000000000000000000000000002-2-220
χ442-2-222-22-22-22-2-22-22-2-222000002-22-22-22-2-2-222000-2200000000-22000000000000000000000000000000000-222-20
χ452-2-22-12-21-112-2-22-1122-2-20003−3-12-21-112-2-1-111000-1133−3−300001-12i−2i2i−2i−i3i3−i3i3−i3i3−i3i3000000003−3−ii−ii000000000000
χ462-2-22-12-21-112-2-22-1122-2-20003−3-12-21-112-2-1-111000-1133−3−300001-1−2i2i−2i2ii3−i3i3−i3i3−i3i3−i3000000003−3i−ii−i000000000000
χ472-2-22-12-21-112-2-22-1122-2-2000−33-12-21-112-2-1-111000-11−3−33300001-12i−2i2i−2ii3−i3i3−i3i3−i3i3−i300000000−33−ii−ii000000000000
χ482-2-22-12-21-112-2-22-1122-2-2000−33-12-21-112-2-1-111000-11−3−33300001-1−2i2i−2i2i−i3i3−i3i3−i3i3−i3i300000000−33i−ii−i000000000000
χ492-2-22-12-21-112-2-22-11-2-2220003−3-12-21-11-2211-1-1000-1133−3−30000-112-2-22−33−333−33−300000000−33-111-1000000000000
χ502-2-22-12-21-112-2-22-11-2-2220003−3-12-21-11-2211-1-1000-1133−3−30000-11-222-23−33−3−33−3300000000−331-1-11000000000000
χ512-2-22-12-21-112-2-22-11-2-222000−33-12-21-11-2211-1-1000-11−3−3330000-112-2-223−33−3−33−33000000003−3-111-1000000000000
χ522-2-22-12-21-112-2-22-11-2-222000−33-12-21-11-2211-1-1000-11−3−3330000-11-222-2−33−333−33−3000000003−31-1-11000000000000
χ534444444444-1-1-1-144000044444-1-1-1-1-1-10000004-1-1-1-1-1-1-1-10000000000000000004-1-1-1-1000000000-1-10000000000
χ544444444444-1-1-1-144000044-4-4-4-1-1-1-1-1-1000000411-1-11111000000000000000000-4-1-1-1-1000000000110000000000
χ554444444444-1-1-1-1440000-4-4444-1-1-1-1-1-1000000-4-1-1-1-1-1-1-1-1000000000000000000-41111000000000110000000000
χ564444444444-1-1-1-1440000-4-4-4-4-4-1-1-1-1-1-1000000-411-1-1111100000000000000000041111000000000-1-10000000000
χ5744444-4-4444-1-1-1-1-4-4000044000-111-1-1-1000000-4−5511−55−55000000000000000000011-1-1000000000−550000000000
χ5844444-4-4444-1-1-1-1-4-4000044000-111-1-1-1000000-45−5115−55−5000000000000000000011-1-10000000005−50000000000
χ5944444-4-4444-1-1-1-1-4-40000-4-4000-111-1-1-10000004−5511−55−550000000000000000000-1-1110000000005−50000000000
χ6044444-4-4444-1-1-1-1-4-40000-4-4000-111-1-1-100000045−5115−55−50000000000000000000-1-111000000000−550000000000
χ614444-2-4-4-2-2-2444422444400000-2-4-4-2-2-2-4-4-2-2-2-200022000000002200000000000000000000000000000000000000
χ624444-2-4-4-2-2-2444422-4-4-4-400000-2-4-4-2-2-24422220002200000000-2-200000000000000000000000000000000000000
χ6344-4-4-200-2224-44-4004i−4i4i−4i00000-20022-200−2i2i−2i2i0000000002+2i−2−2i2−2i−2+2i000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000000000000000
χ6444-4-4-200-2224-44-4004i−4i4i−4i00000-20022-200−2i2i−2i2i000000000−2−2i2+2i−2+2i2−2i0000001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000000000000000
χ6544-4-4-200-2224-44-400−4i4i−4i4i00000-20022-2002i−2i2i−2i0000000002−2i−2+2i2+2i−2−2i000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000000000000000
χ6644-4-4-200-2224-44-400−4i4i−4i4i00000-20022-2002i−2i2i−2i000000000−2+2i2−2i−2−2i2+2i0000001−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000000000000000
χ674-44-4400-4-4444-4-4004i−4i−4i4i000004004-4-4004i−4i−4i4i00000000000000000000000000000000000000000000000000000
χ684-44-4400-4-4444-4-400−4i4i4i−4i000004004-4-400−4i4i4i−4i00000000000000000000000000000000000000000000000000000
χ694-44-4-20022-244-4-4004i−4i−4i4i00000-200-22200−2i2i2i−2i0000000000000000000−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ5900000000000000000000000000
χ704-44-4-20022-244-4-4004i−4i−4i4i00000-200-22200−2i2i2i−2i0000000000000000000ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ5900000000000000000000000000
χ714-44-4-20022-244-4-400−4i4i4i−4i00000-200-222002i−2i−2i2i0000000000000000000−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ5900000000000000000000000000
χ724-44-4-20022-244-4-400−4i4i4i−4i00000-200-222002i−2i−2i2i0000000000000000000ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ5900000000000000000000000000
χ734-4-44-2-442-224-4-442-244-4-400000-2-442-22-44-2-2220002-200000000-2200000000000000000000000000000000000000
χ744-4-44-2-442-224-4-442-2-4-44400000-2-442-224-422-2-20002-2000000002-200000000000000000000000000000000000000
χ758888-488-4-4-4-2-2-2-2-4-40000008-4-41-2-21110000000-2-211111100000000000000000000000000000000000000000000
χ768888-488-4-4-4-2-2-2-2-4-4000000-8441-2-211100000002211-1-1-1-100000000000000000000000000000000000000000000
χ778888-4-8-8-4-4-4-2-2-2-2440000000001221110000000−2525-1-15−55−500000000000000000000000000000000000000000000
χ788888-4-8-8-4-4-4-2-2-2-244000000000122111000000025−25-1-1−55−5500000000000000000000000000000000000000000000
χ7988-8-88008-8-8-22-220000008i−8i000-20022-2000000000000000000000000000000000000−2i2i000000000000000000000
χ8088-8-88008-8-8-22-22000000−8i8i000-20022-20000000000000000000000000000000000002i−2i000000000000000000000
χ818-88-8800-8-88-2-22200000000000-200-2220000000000000000000000000000000000−252500000000000000000000000
χ828-88-8800-8-88-2-22200000000000-200-222000000000000000000000000000000000025−2500000000000000000000000
χ838-8-8888-8-88-8-222-28-8000000000-2-222-22000000000-22000000000000000000000000000000000000000000000000
χ848-8-888-88-88-8-222-2-88000000000-22-22-220000000002-2000000000000000000000000000000000000000000000000
χ858-8-88-48-84-44-222-2-44000000043−431-22-11-10000000001-1−3−33300000000000000000000000000000000000000000000
χ868-8-88-48-84-44-222-2-440000000−43431-22-11-10000000001-133−3−300000000000000000000000000000000000000000000
χ878-8-88-4-884-44-222-24-400000000012-2-11-1000000000-11−151515−1500000000000000000000000000000000000000000000
χ888-8-88-4-884-44-222-24-400000000012-2-11-1000000000-1115−15−151500000000000000000000000000000000000000000000
χ891616-16-16-800-888-44-4400000000000200-2-2200000000000000000000000000000000000000000000000000000000000
χ9016-1616-16-80088-8-4-444000000000002002-2-200000000000000000000000000000000000000000000000000000000000

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