Finite Group Databasebeta

← Group #14302628

Character table — Group #14302628

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11222222244445588888888881010101010101010101010121216161616161616162020202020202020202020202440404040404040404048484848606060606060120120120
order1223446121256101244810152020242430606022444446612122430404060120120120120446121212121212121212244812121212242410101020244444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-11-1-1
χ41111111111111111111111111111-1-1-1-11111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-111
χ5111111111111111-11111-1-111111111111111111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1
χ6111111111111111-11111-1-111111111111111-1-11-1-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111
χ7111111111111111-11111-1-1111111-1-1-1-11111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-11111-1-11-1-1111-1-1-1-1-111
χ8111111111111111-11111-1-1111111-1-1-1-11111-1-11-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-11111-1-1-111-1-1-111111-1-1
χ91111111111111-1-11111111111-1-1-1ii−i−i-1-1-1-11111111111i−i-1-1iiii−i−i−i−i1i−i-1ii−i−i-1-11111-1-1ii−i−i-1i−i
χ101111111111111-1-11111111111-1-1-1ii−i−i-1-1-1-1-1-111111111i−i-1-1iiii−i−i−i−i-1i−i-1ii−i−i-1-1-1-1-1-111−i−iii1−ii
χ111111111111111-1-11111111111-1-1-1−i−iii-1-1-1-11111111111−ii-1-1−i−i−i−iiiii1−ii-1−i−iii-1-11111-1-1−i−iii-1−ii
χ121111111111111-1-11111111111-1-1-1−i−iii-1-1-1-1-1-111111111−ii-1-1−i−i−i−iiiii-1−ii-1−i−iii-1-1-1-1-1-111ii−i−i1i−i
χ131111111111111-1-1-11111-1-1111-1-1-1ii−i−i-1-1-1-1111-1-11-1-1-1-1i−i-1-1iiii−i−i−i−i-1−ii1−i−iii111-1-11-1-1ii−i−i1−ii
χ141111111111111-1-1-11111-1-1111-1-1-1ii−i−i-1-1-1-1-1-11-1-11-1-1-1-1i−i-1-1iiii−i−i−i−i1−ii1−i−iii11-111-111−i−iii-1i−i
χ151111111111111-1-1-11111-1-1111-1-1-1−i−iii-1-1-1-1111-1-11-1-1-1-1−ii-1-1−i−i−i−iiiii-1i−i1ii−i−i111-1-11-1-1−i−iii1i−i
χ161111111111111-1-1-11111-1-1111-1-1-1−i−iii-1-1-1-1-1-11-1-11-1-1-1-1−ii-1-1−i−i−i−iiiii1i−i1ii−i−i11-111-111ii−i−i-1−ii
χ172222-2-22-2-2222-222022-2-2002-2-2-2-220000-2-22200200-2000000-220000000000000000000000002i−2i2i−2i000
χ182222-2-22-2-2222-222022-2-2002-2-2-2-220000-2-22200200-2000000-22000000000000000000000000−2i2i−2i2i000
χ192222-2-22-2-2222-2-2-2022-2-2002-2-222-2000022-2-200200-20000002-20000000000000000000000002-2-22000
χ202222-2-22-2-2222-2-2-2022-2-2002-2-222-2000022-2-200200-20000002-2000000000000000000000000-222-2000
χ21222-122-1-1-12-12-12222-122-1-1-1-1-12222222-1-1-1-100-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10222-1-1-1-1-1-10000000000000
χ22222-122-1-1-12-12-12222-122-1-1-1-1-1222-2-2-2-2-1-1-1-100-122-1-1-1-1-1-2-2-1-1111111110-2-221111-1-10000000000000
χ23222-122-1-1-12-12-122-22-12211-1-1-12222222-1-1-1-100-1-2-2-1111122-1-1-1-1-1-1-1-1-1-10-2-2-21111110000000000000
χ24222-122-1-1-12-12-122-22-12211-1-1-1222-2-2-2-2-1-1-1-100-1-2-2-11111-2-2-1-111111111022-2-1-1-1-1110000000000000
χ25222-122-1-1-12-12-1-2-222-122-1-1-1-1-1-2-2-22i2i−2i−2i111100-122-1-1-1-1-12i−2i11−i−i−i−iiiii02i−2i-2−i−iii110000000000000
χ26222-122-1-1-12-12-1-2-222-122-1-1-1-1-1-2-2-2−2i−2i2i2i111100-122-1-1-1-1-1−2i2i11iiii−i−i−i−i0−2i2i-2ii−i−i110000000000000
χ27222-122-1-1-12-12-1-2-2-22-12211-1-1-1-2-2-22i2i−2i−2i111100-1-2-2-111112i−2i11−i−i−i−iiiii0−2i2i2ii−i−i-1-10000000000000
χ28222-122-1-1-12-12-1-2-2-22-12211-1-1-1-2-2-2−2i−2i2i2i111100-1-2-2-11111−2i2i11iiii−i−i−i−i02i−2i2−i−iii-1-10000000000000
χ2922-222-22-2-22-222220-222-2002-2-2-22-22222-2-22200-20020000-2-22-222-2-222-2-200000000000000000000000
χ3022-222-22-2-22-222220-222-2002-2-2-22-2-2-2-2-2-2-22200-20020000222-2-2-222-2-22200000000000000000000000
χ3122-222-22-2-22-222-2-20-222-2002-2-22-222i2i−2i−2i22-2-200-20020000−2i2i-222i2i−2i−2i−2i−2i2i2i00000000000000000000000
χ3222-222-22-2-22-222-2-20-222-2002-2-22-22−2i−2i2i2i22-2-200-200200002i−2i-22−2i−2i2i2i2i2i−2i−2i00000000000000000000000
χ3322-22-222222-22-2220-22-22002222-2-2000022222-2-200-2000000-2-2000000000000000000200-2-220000000
χ3422-22-222222-22-2220-22-22002222-2-200002222-22-200-2000000-2-2000000000000000000-20022-20000000
χ3522-22-222222-22-2-2-20-22-2200222-2220000-2-2-2-22-2-200-200000022000000000000000000200-22-20000000
χ3622-22-222222-22-2-2-20-22-2200222-2220000-2-2-2-2-22-200-200000022000000000000000000-2002-220000000
χ3722-2-12-2-111212-1220-2-12-23−3-111-22-2222211-1-100100-133−3−3-2-2-11-1-111-1-11100003−33−33−30000000000000
χ3822-2-12-2-111212-1220-2-12-23−3-111-22-2-2-2-2-211-1-100100-133−3−322-1111-1-111-1-10000−33−333−30000000000000
χ3922-2-12-2-111212-1220-2-12-2−33-111-22-2222211-1-100100-1−3−333-2-2-11-1-111-1-1110000−33−33−330000000000000
χ4022-2-12-2-111212-1220-2-12-2−33-111-22-2-2-2-2-211-1-100100-1−3−33322-1111-1-111-1-100003−33−3−330000000000000
χ4122-2-12-2-111212-1-2-20-2-12-23−3-1112-222i2i−2i−2i-1-11100100-133−3−3−2i2i1-1−i−iiiii−i−i0000i3−i3−i3i3−330000000000000
χ4222-2-12-2-111212-1-2-20-2-12-23−3-1112-22−2i−2i2i2i-1-11100100-133−3−32i−2i1-1ii−i−i−i−iii0000−i3i3i3−i3−330000000000000
χ4322-2-12-2-111212-1-2-20-2-12-2−33-1112-222i2i−2i−2i-1-11100100-1−3−333−2i2i1-1−i−iiiii−i−i0000−i3i3i3−i33−30000000000000
χ4422-2-12-2-111212-1-2-20-2-12-2−33-1112-22−2i−2i2i2i-1-11100100-1−3−3332i−2i1-1ii−i−i−i−iii0000i3−i3−i3i33−30000000000000
χ45444444444-14-14004-1-1-1-144-1-1-10000000000044-1-1-1-1-1-1-1-10000000000004000000000-1-1-1-1000000000
χ46444444444-14-14004-1-1-1-144-1-1-100000000000-4-4-1-1-1-1-1-1-1-1000000000000-40000000001111000000000
χ47444444444-14-1400-4-1-1-1-1-4-4-1-1-10000000000044-111-11111000000000000-4000000000-111-1000000000
χ48444444444-14-1400-4-1-1-1-1-4-4-1-1-100000000000-4-4-111-1111100000000000040000000001-1-11000000000
χ49444-2-4-4-2224-2424404-2-4-400-222-4-44000022-2-200-20020000002-20000000000000000000000000000000
χ50444-2-4-4-2224-242-4-404-2-4-400-22244-40000-2-22200-2002000000-220000000000000000000000000000000
χ5144-44-44444-1-4-1-40001-11-100-1-1-1000000000004-41−551−55−550000000000000000000000-1−551000000000
χ5244-44-44444-1-4-1-40001-11-100-1-1-1000000000004-415−515−55−50000000000000000000000-15−51000000000
χ5344-44-44444-1-4-1-40001-11-100-1-1-100000000000-441−551−55−55000000000000000000000015−5-1000000000
χ5444-44-44444-1-4-1-40001-11-100-1-1-100000000000-4415−515−55−500000000000000000000001−55-1000000000
χ5544-4-2-44-2-2-24242440-4-2-4400-2-2-24-4-40000-2-2-2-2002002000000220000000000000000000000000000000
χ5644-4-2-44-2-2-24242-4-40-4-2-4400-2-2-2-44400002222002002000000-2-20000000000000000000000000000000
χ574-40400-40040-404i−4i0040000-4000002+2i−2−2i2−2i−2+2i004i−4i000000000000002+2i−2−2i002−2i−2+2i0000000000000000000000000
χ584-40400-40040-404i−4i0040000-400000−2−2i2+2i−2+2i2−2i004i−4i00000000000000−2−2i2+2i00−2+2i2−2i0000000000000000000000000
χ594-40400-40040-40−4i4i0040000-4000002−2i−2+2i2+2i−2−2i00−4i4i000000000000002−2i−2+2i002+2i−2−2i0000000000000000000000000
χ604-40400-40040-40−4i4i0040000-400000−2+2i2−2i−2−2i2+2i00−4i4i00000000000000−2+2i2−2i00−2−2i2+2i0000000000000000000000000
χ614-40-200223−2340-404i−4i00-20000223−230002+2i−2−2i2−2i−2+2i−2i32i3−2i2i00000000000000−1−i1+i−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+ζ59−1+i1−i−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−ζ5900000000000000000000000
χ624-40-200223−2340-404i−4i00-20000223−23000−2−2i2+2i−2+2i2−2i−2i32i3−2i2i000000000000001+i−1−iζ2−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−ζ591−i−1+iζ2+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+ζ5900000000000000000000000
χ634-40-200223−2340-40−4i4i00-20000223−230002−2i−2+2i2+2i−2−2i2i3−2i32i−2i00000000000000−1+i1−iζ2+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+ζ59−1−i1+iζ2−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−ζ5900000000000000000000000
χ644-40-200223−2340-40−4i4i00-20000223−23000−2+2i2−2i−2−2i2+2i2i3−2i32i−2i000000000000001−i−1+i−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−ζ591+i−1−i−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+ζ5900000000000000000000000
χ654-40-2002−232340-404i−4i00-200002−23230002+2i−2−2i2−2i−2+2i2i3−2i3−2i2i00000000000000−1−i1+iζ2−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−ζ59−1+i1−iζ2+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+ζ5900000000000000000000000
χ664-40-2002−232340-404i−4i00-200002−2323000−2−2i2+2i−2+2i2−2i2i3−2i3−2i2i000000000000001+i−1−i−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+ζ591−i−1+i−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−ζ5900000000000000000000000
χ674-40-2002−232340-40−4i4i00-200002−23230002−2i−2+2i2+2i−2−2i−2i32i32i−2i00000000000000−1+i1−i−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−ζ59−1−i1+i−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+ζ5900000000000000000000000
χ684-40-2002−232340-40−4i4i00-200002−2323000−2+2i2−2i−2−2i2+2i−2i32i32i−2i000000000000001−i−1+iζ2+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+ζ591+i−1−iζ2−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−ζ5900000000000000000000000
χ698888-8-88-8-8-28-2-8000-2-22200-2220000000000000-2002000000000000000000000000000000000000000
χ70888-488-4-4-4-2-4-2-4008-21-2-2-4-411100000000000001-2-21111100000000000000000000000000000000000
χ71888-488-4-4-4-2-4-2-400-8-21-2-24411100000000000001221-1-1-1-100000000000000000000000000000000000
χ72888-4-8-8-444-2-4-24000-2122001-1-10000000000000100-1−151515−1500000000000000000000000000000000000
χ73888-4-8-8-444-2-4-24000-2122001-1-10000000000000100-115−15−151500000000000000000000000000000000000
χ7488-888-88-8-8-2-8-280002-2-2200-2220000000000000200-2000000000000000000000000000000000000000
χ7588-8-48-8-444-24-2-400021-2243−431-1-10000000000000-1001−3−33300000000000000000000000000000000000
χ7688-8-48-8-444-24-2-400021-22−43431-1-10000000000000-100133−3−300000000000000000000000000000000000
χ7788-8-4-88-4-4-4-24-24000212-2001110000000000000-1−2525-15−55−500000000000000000000000000000000000
χ7888-8-4-88-4-4-4-24-24000212-2001110000000000000-125−25-1−55−5500000000000000000000000000000000000
χ7916-1601600-1600-40400000-4000040000000000000000000000000000000000000000000000000000000000
χ8016-160-800883−83-4040000020000-2−232300000000000000000000000000000000000000000000000000000000
χ8116-160-8008−8383-4040000020000-223−2300000000000000000000000000000000000000000000000000000000

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