Finite Group Databasebeta

← Group #14299776

Character table — Group #14299776

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222222444444444444558888888888888888888888101010101010101212202020202020202020202020244040404040404040404048484848606060606060120120120
order122344612124456101212121212202022101520202020203030306060606060606060606060602446612122444444461212121212888121212122424242410204040244444448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11
χ31111111111111111111111111111111111111111111111111111-1-1111111111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1
χ5111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-111-1-1i−ii−i-1-1-1-1-1-11i−iii−i−iii−i−i1111-1-1ii−i−ii−i-1
χ6111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-111-1-1−ii−ii-1-1-1-1-1-11−ii−i−iii−i−iii1111-1-1−i−iii−ii-1
χ7111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1i−ii−i-1-1-1-1-1-1-1i−iii−i−iii−i−i-1-1-1-111−i−iii−ii1
χ8111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−ii−ii-1-1-1-1-1-1-1−ii−i−iii−i−iii-1-1-1-111ii−i−ii−i1
χ9111111111-1-11111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1
χ10111111111-1-11111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1
χ11111111111-1-11111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111
χ12111111111-1-11111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-111-1-11111-1-11
χ13111111111-1-11111-1-1-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−i-1-11111-1−iiii−i−i−i−iii11-1-1-1-1ii−i−i−ii1
χ14111111111-1-11111-1-1-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−ii−ii-1-11111-1i−i−i−iiiii−i−i11-1-1-1-1−i−iiii−i1
χ15111111111-1-11111-1-1-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−ii−i-1-111111−iiii−i−i−i−iii-1-11111−i−iiii−i-1
χ16111111111-1-11111-1-1-1-111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−ii−ii-1-111111i−i−i−iiiii−i−i-1-11111ii−i−i−ii-1
χ172222-2-22-2-200222-20000-2-22222-20000222-2-2-2-2000000002-2-222-2-2000000002-20000000000000000000002-22-2000
χ182222-2-22-2-200222-20000-2-22222-20000222-2-2-2-2000000002-2-222-2-2000000002-2000000000000000000000-22-22000
χ192222-2-22-2-200222-20000-2-2-2-222-20000222-2-2-2-200000000-222-2-22200000000-220000000000000000000002i−2i−2i2i000
χ202222-2-22-2-200222-20000-2-2-2-222-20000222-2-2-2-200000000-222-2-22200000000-22000000000000000000000−2i2i2i−2i000
χ21222-122-1-1-1222-12-1-1-1-1-122222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-100222222-1-1-1-1-1-1022-1-1-1-1-1-1-1-10000000000000
χ22222-122-1-1-1222-12-1-1-1-1-122222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-10022-2-2-2-2-1-1-1-1-1-10-2-2111111110000000000000
χ23222-122-1-1-1222-12-1-1-1-1-122-2-22-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111100-2-22i−2i2i−2i11111102i−2i−i−iii−i−iii0000000000000
χ24222-122-1-1-1222-12-1-1-1-1-122-2-22-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111100-2-2−2i2i−2i2i1111110−2i2iii−i−iii−i−i0000000000000
χ25222-122-1-1-1-2-22-12-1111122222-12-2-2-2-2-1-1-1-1-1-1-111111111222-1-1-1-100-2-22222-1-111110-2-2-1-1-1-111110000000000000
χ26222-122-1-1-1-2-22-12-1111122222-12-2-2-2-2-1-1-1-1-1-1-111111111222-1-1-1-100-2-2-2-2-2-2-1-111110221111-1-1-1-10000000000000
χ27222-122-1-1-1-2-22-12-1111122-2-22-12-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2111100222i−2i2i−2i11-1-1-1-10−2i2i−i−iiiii−i−i0000000000000
χ28222-122-1-1-1-2-22-12-1111122-2-22-12-2-2-2-2-1-1-1-1-1-1-111111111-2-2-211110022−2i2i−2i2i11-1-1-1-102i−2iii−i−i−i−iii0000000000000
χ2922-222-2222002-22-20000-2-222-22200002-2-222-2-200000000-2-2222222-2000000-2-20000000000000002-2002-20000000
χ3022-222-2222002-22-20000-2-222-22200002-2-222-2-200000000-2-222222-22000000-2-2000000000000000-2200-220000000
χ3122-222-2222002-22-20000-2-2-2-2-22200002-2-222-2-20000000022-2-2-2-2-22-2000000220000000000000002-200-220000000
χ3222-222-2222002-22-20000-2-2-2-2-22200002-2-222-2-20000000022-2-2-2-2-2-2200000022000000000000000-22002-20000000
χ3322-22-222-2-2002-22200002222-22-200002-2-2-2-22200000000-22-222-2-2000022-2-2-2200000002-22-200000000000000000
χ3422-22-222-2-2002-22200002222-22-200002-2-2-2-22200000000-22-222-2-20000-2-222-220000000-22-2200000000000000000
χ3522-22-222-2-2002-222000022-2-2-22-200002-2-2-2-222000000002-22-2-22200002i−2i−2i2i2-200000002i−2i−2i2i00000000000000000
χ3622-22-222-2-2002-222000022-2-2-22-200002-2-2-2-222000000002-22-2-2220000−2i2i2i−2i2-20000000−2i2i2i−2i00000000000000000
χ3722-2-1-22-11100212-133−3−32222-2-1-20000-11111-1-13333−3−3−3−3-22-2-1-111000022-2-21-133−3−3000-11-113−33−30000000000000
χ3822-2-1-22-11100212-133−3−32222-2-1-20000-11111-1-13333−3−3−3−3-22-2-1-1110000-2-2221-133−3−30001-11-1−33−330000000000000
χ3922-2-1-22-11100212-133−3−322-2-2-2-1-20000-11111-1-13333−3−3−3−32-2211-1-100002i−2i−2i2i-11−3−333000−iii−ii3−i3−i3i30000000000000
χ4022-2-1-22-11100212-133−3−322-2-2-2-1-20000-11111-1-13333−3−3−3−32-2211-1-10000−2i2i2i−2i-11−3−333000i−i−ii−i3i3i3−i30000000000000
χ4122-2-1-22-11100212-1−3−3332222-2-1-20000-11111-1-1−3−3−3−33333-22-2-1-111000022-2-21-1−3−333000-11-11−33−330000000000000
χ4222-2-1-22-11100212-1−3−3332222-2-1-20000-11111-1-1−3−3−3−33333-22-2-1-1110000-2-2221-1−3−3330001-11-13−33−30000000000000
χ4322-2-1-22-11100212-1−3−33322-2-2-2-1-20000-11111-1-1−3−3−3−333332-2211-1-100002i−2i−2i2i-1133−3−3000−iii−i−i3i3i3−i30000000000000
χ4422-2-1-22-11100212-1−3−33322-2-2-2-1-20000-11111-1-1−3−3−3−333332-2211-1-10000−2i2i2i−2i-1133−3−3000i−i−iii3−i3−i3i30000000000000
χ4544444444444-14-144444-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000004400000000000040000000000-1-1-1-1000000000
χ4644444444444-14-144444-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000-4-4000000000000-400000000001111000000000
χ47444444444-4-4-14-14-4-4-4-4-1-100-1-1-11111-1-1-1-1-1-1-111111111000000044000000000000-40000000000-1-111000000000
χ48444444444-4-4-14-14-4-4-4-4-1-100-1-1-11111-1-1-1-1-1-1-1111111110000000-4-40000000000004000000000011-1-1000000000
χ49444-2-4-4-222004-2420000-4-4444-2-40000-2-2-22222000000004-4-4-2-22200000000-220000000000000000000000000000
χ50444-2-4-4-222004-2420000-4-4-4-44-2-40000-2-2-2222200000000-44422-2-2000000002-20000000000000000000000000000
χ5144-444-444400-1-4-1-4000011001-1-1−i5−i5i5i5-111-1-111−i5−i5i5i5−i5−i5i5i500000004-400000000000000000000000-11−i5i5000000000
χ5244-444-444400-1-4-1-4000011001-1-1−i5−i5i5i5-111-1-111−i5−i5i5i5−i5−i5i5i50000000-44000000000000000000000001-1i5−i5000000000
χ5344-444-444400-1-4-1-4000011001-1-1i5i5−i5−i5-111-1-111i5i5−i5−i5i5i5−i5−i500000004-400000000000000000000000-11i5−i5000000000
χ5444-444-444400-1-4-1-4000011001-1-1i5i5−i5−i5-111-1-111i5i5−i5−i5i5i5−i5−i50000000-44000000000000000000000001-1−i5i5000000000
χ5544-4-24-4-2-2-20042420000-4-444-4-240000-222-2-22200000000-4-44-2-2-2-200000000220000000000000000000000000000
χ5644-4-24-4-2-2-20042420000-4-4-4-4-4-240000-222-2-2220000000044-4222200000000-2-20000000000000000000000000000
χ574-40400-4002-240-402-22-2004-40402-22-2-40000002-22-22-22-20004-400002-20000002-22-2000000000000000000000000
χ584-40400-4002-240-402-22-200-440402-22-2-40000002-22-22-22-2000-440000-22000000-22-22000000000000000000000000
χ594-40400-400-2240-40-22-22004-4040-22-22-4000000-22-22-22-220004-40000-22000000-22-22000000000000000000000000
χ604-40400-400-2240-40-22-2200-44040-22-22-4000000-22-22-22-22000-4400002-20000002-22-2000000000000000000000000
χ614-40-200223−232-240-40−1+31−3−1−31+3004-40-202-22-220023−2300−1+31−3−1+31−3−1−31+3−1−31+3000-2223−23002-2000000−1+31−3−1−31+3000000000000000000000000
χ624-40-200223−232-240-40−1+31−3−1−31+300-440-202-22-220023−2300−1+31−3−1+31−3−1−31+3−1−31+30002-2−232300-220000001−3−1+31+3−1−3000000000000000000000000
χ634-40-200223−23-2240-401−3−1+31+3−1−3004-40-20-22-2220023−23001−3−1+31−3−1+31+3−1−31+3−1−3000-2223−2300-220000001−3−1+31+3−1−3000000000000000000000000
χ644-40-200223−23-2240-401−3−1+31+3−1−300-440-20-22-2220023−23001−3−1+31−3−1+31+3−1−31+3−1−30002-2−2323002-2000000−1+31−3−1−31+3000000000000000000000000
χ654-40-2002−23232-240-40−1−31+3−1+31−3004-40-202-22-2200−232300−1−31+3−1−31+3−1+31−3−1+31−3000-22−2323002-2000000−1−31+3−1+31−3000000000000000000000000
χ664-40-2002−23232-240-40−1−31+3−1+31−300-440-202-22-2200−232300−1−31+3−1−31+3−1+31−3−1+31−30002-223−2300-220000001+3−1−31−3−1+3000000000000000000000000
χ674-40-2002−2323-2240-401+3−1−31−3−1+3004-40-20-22-22200−2323001+3−1−31+3−1−31−3−1+31−3−1+3000-22−232300-220000001+3−1−31−3−1+3000000000000000000000000
χ684-40-2002−2323-2240-401+3−1−31−3−1+300-440-20-22-22200−2323001+3−1−31+3−1−31−3−1+31−3−1+30002-223−23002-2000000−1−31+3−1+31−3000000000000000000000000
χ698888-8-88-8-800-28-2-800002200-2-220000-2-2-2222200000000000000000000000000000000000000000000000000000
χ70888-488-4-4-488-2-4-2-4-4-4-4-4-2-200-21-2-2-2-2-2111111111111111000000000000000000000000000000000000000000000
χ71888-488-4-4-4-8-8-2-4-2-44444-2-200-21-222221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000
χ72888-4-8-8-44400-2-4-2400002200-2120000111-1-1-1-1−i15−i15i15i15i15i15−i15−i15000000000000000000000000000000000000000000000
χ73888-4-8-8-44400-2-4-2400002200-2120000111-1-1-1-1i15i15−i15−i15−i15−i15i15i15000000000000000000000000000000000000000000000
χ7488-88-888-8-800-2-8-280000-2-2002-220000-22222-2-200000000000000000000000000000000000000000000000000000
χ7588-8-48-8-4-4-400-24-240000220021-2−2i5−2i52i52i51-1-111-1-1i5i5−i5−i5i5i5−i5−i5000000000000000000000000000000000000000000000
χ7688-8-48-8-4-4-400-24-240000220021-22i52i5−2i5−2i51-1-111-1-1−i5−i5i5i5−i5−i5i5i5000000000000000000000000000000000000000000000
χ7788-8-4-88-44400-24-2-44343−43−43-2-20021200001-1-1-1-111−3−3−3−33333000000000000000000000000000000000000000000000
χ7888-8-4-88-44400-24-2-4−43−434343-2-20021200001-1-1-1-1113333−3−3−3−3000000000000000000000000000000000000000000000
χ798-80800-8004-4-20204-44-4−2i52i5000-20−1−i51+i5−1+i51−i520000−2i52i5−1−i51+i5−1+i51−i5−1−i51+i5−1+i51−i5000000000000000000000000000000000000000000000
χ808-80800-8004-4-20204-44-42i5−2i5000-20−1+i51−i5−1−i51+i5200002i5−2i5−1+i51−i5−1−i51+i5−1+i51−i5−1−i51+i5000000000000000000000000000000000000000000000
χ818-80800-800-44-2020-44-44−2i52i5000-201+i5−1−i51−i5−1+i520000−2i52i51+i5−1−i51−i5−1+i51+i5−1−i51−i5−1+i5000000000000000000000000000000000000000000000
χ828-80800-800-44-2020-44-442i5−2i5000-201−i5−1+i51+i5−1−i5200002i5−2i51−i5−1+i51+i5−1−i51−i5−1+i51+i5−1−i5000000000000000000000000000000000000000000000
χ838-80-400443−434-4-2020−2+232−23−2−232+23−2i52i500010−1−i51+i5−1+i51−i5-1−i15i15−33i5−i5−ζ14+ζ19−ζ22−ζ23−ζ26+ζ31−ζ47−ζ58ζ14−ζ19+ζ22+ζ23+ζ26−ζ31+ζ47+ζ58−ζ2+ζ7−ζ11−ζ34−ζ38+ζ43−ζ46−ζ59ζ2−ζ7+ζ11+ζ34+ζ38−ζ43+ζ46+ζ59−ζ2−ζ7+ζ11−ζ34−ζ38−ζ43−ζ46+ζ59ζ2+ζ7−ζ11+ζ34+ζ38+ζ43+ζ46−ζ59−ζ14−ζ19−ζ22+ζ23−ζ26−ζ31+ζ47−ζ58ζ14+ζ19+ζ22−ζ23+ζ26+ζ31−ζ47+ζ58000000000000000000000000000000000000000000000
χ848-80-400443−434-4-2020−2+232−23−2−232+232i5−2i500010−1+i51−i5−1−i51+i5-1i15−i15−33−i5i5−ζ2+ζ7−ζ11−ζ34−ζ38+ζ43−ζ46−ζ59ζ2−ζ7+ζ11+ζ34+ζ38−ζ43+ζ46+ζ59−ζ14+ζ19−ζ22−ζ23−ζ26+ζ31−ζ47−ζ58ζ14−ζ19+ζ22+ζ23+ζ26−ζ31+ζ47+ζ58−ζ14−ζ19−ζ22+ζ23−ζ26−ζ31+ζ47−ζ58ζ14+ζ19+ζ22−ζ23+ζ26+ζ31−ζ47+ζ58−ζ2−ζ7+ζ11−ζ34−ζ38−ζ43−ζ46+ζ59ζ2+ζ7−ζ11+ζ34+ζ38+ζ43+ζ46−ζ59000000000000000000000000000000000000000000000
χ858-80-400443−43-44-20202−23−2+232+23−2−23−2i52i5000101+i5−1−i51−i5−1+i5-1−i15i15−33i5−i5ζ14−ζ19+ζ22+ζ23+ζ26−ζ31+ζ47+ζ58−ζ14+ζ19−ζ22−ζ23−ζ26+ζ31−ζ47−ζ58ζ2−ζ7+ζ11+ζ34+ζ38−ζ43+ζ46+ζ59−ζ2+ζ7−ζ11−ζ34−ζ38+ζ43−ζ46−ζ59ζ2+ζ7−ζ11+ζ34+ζ38+ζ43+ζ46−ζ59−ζ2−ζ7+ζ11−ζ34−ζ38−ζ43−ζ46+ζ59ζ14+ζ19+ζ22−ζ23+ζ26+ζ31−ζ47+ζ58−ζ14−ζ19−ζ22+ζ23−ζ26−ζ31+ζ47−ζ58000000000000000000000000000000000000000000000
χ868-80-400443−43-44-20202−23−2+232+23−2−232i5−2i5000101−i5−1+i51+i5−1−i5-1i15−i15−33−i5i5ζ2−ζ7+ζ11+ζ34+ζ38−ζ43+ζ46+ζ59−ζ2+ζ7−ζ11−ζ34−ζ38+ζ43−ζ46−ζ59ζ14−ζ19+ζ22+ζ23+ζ26−ζ31+ζ47+ζ58−ζ14+ζ19−ζ22−ζ23−ζ26+ζ31−ζ47−ζ58ζ14+ζ19+ζ22−ζ23+ζ26+ζ31−ζ47+ζ58−ζ14−ζ19−ζ22+ζ23−ζ26−ζ31+ζ47−ζ58ζ2+ζ7−ζ11+ζ34+ζ38+ζ43+ζ46−ζ59−ζ2−ζ7+ζ11−ζ34−ζ38−ζ43−ζ46+ζ59000000000000000000000000000000000000000000000
χ878-80-4004−43434-4-2020−2−232+23−2+232−23−2i52i500010−1−i51+i5−1+i51−i5-1i15−i153−3i5−i5−ζ2−ζ7+ζ11−ζ34−ζ38−ζ43−ζ46+ζ59ζ2+ζ7−ζ11+ζ34+ζ38+ζ43+ζ46−ζ59−ζ14−ζ19−ζ22+ζ23−ζ26−ζ31+ζ47−ζ58ζ14+ζ19+ζ22−ζ23+ζ26+ζ31−ζ47+ζ58−ζ14+ζ19−ζ22−ζ23−ζ26+ζ31−ζ47−ζ58ζ14−ζ19+ζ22+ζ23+ζ26−ζ31+ζ47+ζ58−ζ2+ζ7−ζ11−ζ34−ζ38+ζ43−ζ46−ζ59ζ2−ζ7+ζ11+ζ34+ζ38−ζ43+ζ46+ζ59000000000000000000000000000000000000000000000
χ888-80-4004−43434-4-2020−2−232+23−2+232−232i5−2i500010−1+i51−i5−1−i51+i5-1−i15i153−3−i5i5−ζ14−ζ19−ζ22+ζ23−ζ26−ζ31+ζ47−ζ58ζ14+ζ19+ζ22−ζ23+ζ26+ζ31−ζ47+ζ58−ζ2−ζ7+ζ11−ζ34−ζ38−ζ43−ζ46+ζ59ζ2+ζ7−ζ11+ζ34+ζ38+ζ43+ζ46−ζ59−ζ2+ζ7−ζ11−ζ34−ζ38+ζ43−ζ46−ζ59ζ2−ζ7+ζ11+ζ34+ζ38−ζ43+ζ46+ζ59−ζ14+ζ19−ζ22−ζ23−ζ26+ζ31−ζ47−ζ58ζ14−ζ19+ζ22+ζ23+ζ26−ζ31+ζ47+ζ58000000000000000000000000000000000000000000000
χ898-80-4004−4343-44-20202+23−2−232−23−2+23−2i52i5000101+i5−1−i51−i5−1+i5-1i15−i153−3i5−i5ζ2+ζ7−ζ11+ζ34+ζ38+ζ43+ζ46−ζ59−ζ2−ζ7+ζ11−ζ34−ζ38−ζ43−ζ46+ζ59ζ14+ζ19+ζ22−ζ23+ζ26+ζ31−ζ47+ζ58−ζ14−ζ19−ζ22+ζ23−ζ26−ζ31+ζ47−ζ58ζ14−ζ19+ζ22+ζ23+ζ26−ζ31+ζ47+ζ58−ζ14+ζ19−ζ22−ζ23−ζ26+ζ31−ζ47−ζ58ζ2−ζ7+ζ11+ζ34+ζ38−ζ43+ζ46+ζ59−ζ2+ζ7−ζ11−ζ34−ζ38+ζ43−ζ46−ζ59000000000000000000000000000000000000000000000
χ908-80-4004−4343-44-20202+23−2−232−23−2+232i5−2i5000101−i5−1+i51+i5−1−i5-1−i15i153−3−i5i5ζ14+ζ19+ζ22−ζ23+ζ26+ζ31−ζ47+ζ58−ζ14−ζ19−ζ22+ζ23−ζ26−ζ31+ζ47−ζ58ζ2+ζ7−ζ11+ζ34+ζ38+ζ43+ζ46−ζ59−ζ2−ζ7+ζ11−ζ34−ζ38−ζ43−ζ46+ζ59ζ2−ζ7+ζ11+ζ34+ζ38−ζ43+ζ46+ζ59−ζ2+ζ7−ζ11−ζ34−ζ38+ζ43−ζ46−ζ59ζ14−ζ19+ζ22+ζ23+ζ26−ζ31+ζ47+ζ58−ζ14+ζ19−ζ22−ζ23−ζ26+ζ31−ζ47−ζ58000000000000000000000000000000000000000000000

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