Finite Group Databasebeta

← Group #14302624

Character table — Group #14302624

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11222222244445588888888881010101010101010101010121216161616161616162020202020202020202020202440404040404040404048484848606060606060120120120
order1223446665101212444101212152020303030224444412121212242020606060606060446612121212121212128266882424242410204040244444448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11
χ41111111111111111111111111111-1-1-1-11111-1-111111111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1
χ5111111111111111-11-1-11111111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1
χ6111111111111111-11-1-111111111111111111-1-1-1-111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ7111111111111111-11-1-1111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1
χ8111111111111111-11-1-1111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1111111-1-111-1-11111-1-11
χ91111111111111-1-11111111111-1-1-1ii−i−i-1-1-1-11111111111i−i-1-1iiii−i−i−i−i1-1-1-1i−iii−i−i1111-1-1ii−i−ii−i-1
χ101111111111111-1-11111111111-1-1-1ii−i−i-1-1-1-1-1-111111111i−i-1-1iiii−i−i−i−i-1-1-1-1i−iii−i−i-1-1-1-111−i−iii−ii1
χ111111111111111-1-11111111111-1-1-1−i−iii-1-1-1-11111111111−ii-1-1−i−i−i−iiiii1-1-1-1−ii−i−iii1111-1-1−i−iii−ii-1
χ121111111111111-1-11111111111-1-1-1−i−iii-1-1-1-1-1-111111111−ii-1-1−i−i−i−iiiii-1-1-1-1−ii−i−iii-1-1-1-111ii−i−ii−i1
χ131111111111111-1-1-11-1-1111111-1-1-1ii−i−i-1-1-1-111-1-111-1-1-1-1i−i-1-1iiii−i−i−i−i-1111−ii−i−iii11-1-1-1-1ii−i−i−ii1
χ141111111111111-1-1-11-1-1111111-1-1-1ii−i−i-1-1-1-1-1-1-1-111-1-1-1-1i−i-1-1iiii−i−i−i−i1111−ii−i−iii-1-11111−i−iiii−i-1
χ151111111111111-1-1-11-1-1111111-1-1-1−i−iii-1-1-1-111-1-111-1-1-1-1−ii-1-1−i−i−i−iiiii-1111i−iii−i−i11-1-1-1-1−i−iiii−i1
χ161111111111111-1-1-11-1-1111111-1-1-1−i−iii-1-1-1-1-1-1-1-111-1-1-1-1−ii-1-1−i−i−i−iiiii1111i−iii−i−i-1-11111ii−i−i−ii-1
χ172222-2-222222-2-22202002-2-2222-2-22000022220000-2-2000000-2-20000000000000000000000002i−2i2i−2i000
χ182222-2-222222-2-22202002-2-2222-2-22000022220000-2-2000000-2-2000000000000000000000000−2i2i−2i2i000
χ192222-2-222222-2-2-2-202002-2-222222-20000-2-2-2-20000-2-2000000220000000000000000000000002-2-22000
χ202222-2-222222-2-2-2-202002-2-222222-20000-2-2-2-20000-2-200000022000000000000000000000000-222-2000
χ21222-122-1-1-122-1-12222-1-1-122-1-1-12222222-1-1-1-10022-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-102-1-122-1-1-1-10000000000000
χ22222-122-1-1-122-1-12222-1-1-122-1-1-1222-2-2-2-2-1-1-1-10022-1-1-1-1-1-1-2-2-1-11111111102-1-1-2-211110000000000000
χ23222-122-1-1-122-1-122-2211-122-1-1-12222222-1-1-1-100-2-2-1-1111122-1-1-1-1-1-1-1-1-1-10-211-2-211110000000000000
χ24222-122-1-1-122-1-122-2211-122-1-1-1222-2-2-2-2-1-1-1-100-2-2-1-11111-2-2-1-1111111110-21122-1-1-1-10000000000000
χ25222-122-1-1-122-1-1-2-222-1-1-122-1-1-1-2-2-22i2i−2i−2i11110022-1-1-1-1-1-12i−2i11−i−i−i−iiiii0-2112i−2i−i−iii0000000000000
χ26222-122-1-1-122-1-1-2-222-1-1-122-1-1-1-2-2-2−2i−2i2i2i11110022-1-1-1-1-1-1−2i2i11iiii−i−i−i−i0-211−2i2iii−i−i0000000000000
χ27222-122-1-1-122-1-1-2-2-2211-122-1-1-1-2-2-22i2i−2i−2i111100-2-2-1-111112i−2i11−i−i−i−iiiii02-1-1−2i2iii−i−i0000000000000
χ28222-122-1-1-122-1-1-2-2-2211-122-1-1-1-2-2-2−2i−2i2i2i111100-2-2-1-11111−2i2i11iiii−i−i−i−i02-1-12i−2i−i−iii0000000000000
χ2922-222-2-2-22222-2220-20022-2-2-22-22-22222-2-22200002-20000-2-2-2222-2-222-2-200000000000000000000000
χ3022-222-2-2-22222-2220-20022-2-2-22-22-2-2-2-2-2-2-22200002-2000022-22-2-222-2-22200000000000000000000000
χ3122-222-2-2-22222-2-2-20-20022-2-2-222-222i2i−2i−2i22-2-200002-20000−2i2i2-22i2i−2i−2i−2i−2i2i2i00000000000000000000000
χ3222-222-2-2-22222-2-2-20-20022-2-2-222-22−2i−2i2i2i22-2-200002-200002i−2i2-2−2i−2i2i2i2i2i−2i−2i00000000000000000000000
χ3322-22-22-2-2222-22220-2002-22-2-222-2-20000-2-2222-200-220000002-20000000000000000002-200-220000000
χ3422-22-22-2-2222-22220-2002-22-2-222-2-20000-2-222-2200-220000002-2000000000000000000-22002-20000000
χ3522-22-22-2-2222-22-2-20-2002-22-2-22-222000022-2-22-200-22000000-220000000000000000002-2002-20000000
χ3622-22-22-2-2222-22-2-20-2002-22-2-22-222000022-2-2-2200-22000000-22000000000000000000-2200-220000000
χ3722-2-12-211-122-11220-2−i3i3-12-211-1-22-2222211-1-10000-11−i3−i3i3i3-2-21-1-1-111-1-11100−i3i300−i3i3−i3i30000000000000
χ3822-2-12-211-122-11220-2−i3i3-12-211-1-22-2-2-2-2-211-1-10000-11−i3−i3i3i3221-111-1-111-1-100−i3i300i3−i3i3−i30000000000000
χ3922-2-12-211-122-11220-2i3−i3-12-211-1-22-2222211-1-10000-11i3i3−i3−i3-2-21-1-1-111-1-11100i3−i300i3−i3i3−i30000000000000
χ4022-2-12-211-122-11220-2i3−i3-12-211-1-22-2-2-2-2-211-1-10000-11i3i3−i3−i3221-111-1-111-1-100i3−i300−i3i3−i3i30000000000000
χ4122-2-12-211-122-11-2-20-2−i3i3-12-211-12-222i2i−2i−2i-1-1110000-11−i3−i3i3i3−2i2i-11−i−iiiii−i−i00i3−i3003−3−330000000000000
χ4222-2-12-211-122-11-2-20-2−i3i3-12-211-12-22−2i−2i2i2i-1-1110000-11−i3−i3i3i32i−2i-11ii−i−i−i−iii00i3−i300−333−30000000000000
χ4322-2-12-211-122-11-2-20-2i3−i3-12-211-12-222i2i−2i−2i-1-1110000-11i3i3−i3−i3−2i2i-11−i−iiiii−i−i00−i3i300−333−30000000000000
χ4422-2-12-211-122-11-2-20-2i3−i3-12-211-12-22−2i−2i2i2i-1-1110000-11i3i3−i3−i32i−2i-11ii−i−i−i−iii00−i3i3003−3−330000000000000
χ45444444444-1-144004-144-1-1-1-1-1-10000000000044-1-1-1-1-1-1-1-10000000000004000000000-1-1-1-1000000000
χ46444444444-1-144004-144-1-1-1-1-1-100000000000-4-4-1-1-1-1-1-1-1-1000000000000-40000000001111000000000
χ47444444444-1-14400-4-1-4-4-1-1-1-1-1-1000000000004411-1-11111000000000000-4000000000-1-111000000000
χ48444444444-1-14400-4-1-4-4-1-1-1-1-1-100000000000-4-411-1-11111000000000000400000000011-1-1000000000
χ49444-2-4-4-2-2-24422440400-2-4-4-2-2-2-4-440000-2-2-2-2000022000000220000000000000000000000000000000
χ50444-2-4-4-2-2-24422-4-40400-2-4-4-2-2-244-400002222000022000000-2-20000000000000000000000000000000
χ5144-44-44-4-44-1-1-44000100-11-111-1000000000004-4−551-1−55−550000000000000000000000-11−55000000000
χ5244-44-44-4-44-1-1-44000100-11-111-1000000000004-45−51-15−55−50000000000000000000000-115−5000000000
χ5344-44-44-4-44-1-1-44000100-11-111-100000000000-44−551-1−55−5500000000000000000000001-15−5000000000
χ5444-44-44-4-44-1-1-44000100-11-111-100000000000-445−51-15−55−500000000000000000000001-1−55000000000
χ5544-4-2-4422-2442-2440-400-2-4422-24-4-4000022-2-200002-2000000-220000000000000000000000000000000
χ5644-4-2-4422-2442-2-4-40-400-2-4422-2-4440000-2-22200002-20000002-20000000000000000000000000000000
χ574-4040000-44-4004i−4i000040000-40002+2i−2−2i2−2i−2+2i004i−4i000000000000002+2i−2−2i002−2i−2+2i0000000000000000000000000
χ584-4040000-44-4004i−4i000040000-4000−2−2i2+2i−2+2i2−2i004i−4i00000000000000−2−2i2+2i00−2+2i2−2i0000000000000000000000000
χ594-4040000-44-400−4i4i000040000-40002−2i−2+2i2+2i−2−2i00−4i4i000000000000002−2i−2+2i002+2i−2−2i0000000000000000000000000
χ604-4040000-44-400−4i4i000040000-4000−2+2i2−2i−2−2i2+2i00−4i4i00000000000000−2+2i2−2i00−2−2i2+2i0000000000000000000000000
χ614-40-200−2i32i324-4004i−4i0000-200−2i32i320002+2i−2−2i2−2i−2+2i23−23−2i2i00000000000000−1−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
χ624-40-200−2i32i324-4004i−4i0000-200−2i32i32000−2−2i2+2i−2+2i2−2i23−23−2i2i000000000000001+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
χ634-40-200−2i32i324-400−4i4i0000-200−2i32i320002−2i−2+2i2+2i−2−2i−23232i−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
χ644-40-200−2i32i324-400−4i4i0000-200−2i32i32000−2+2i2−2i−2−2i2+2i−23232i−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
χ654-40-2002i3−2i324-4004i−4i0000-2002i3−2i320002+2i−2−2i2−2i−2+2i−2323−2i2i00000000000000−1−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
χ664-40-2002i3−2i324-4004i−4i0000-2002i3−2i32000−2−2i2+2i−2+2i2−2i−2323−2i2i000000000000001+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
χ674-40-2002i3−2i324-400−4i4i0000-2002i3−2i320002−2i−2+2i2+2i−2−2i23−232i−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
χ684-40-2002i3−2i324-400−4i4i0000-2002i3−2i32000−2+2i2−2i−2−2i2+2i23−232i−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
χ698888-8-8888-2-2-8-8000-200-222-2-2-200000000000000022000000000000000000000000000000000000000
χ70888-488-4-4-4-2-2-4-4008-2-4-41-2-21110000000000000-2-211111100000000000000000000000000000000000
χ71888-488-4-4-4-2-2-4-400-8-2441-2-211100000000000002211-1-1-1-100000000000000000000000000000000000
χ72888-4-8-8-4-4-4-2-244000-200122111000000000000000-1-1−i15i15i15−i1500000000000000000000000000000000000
χ73888-4-8-8-4-4-4-2-244000-200122111000000000000000-1-1i15−i15−i15i1500000000000000000000000000000000000
χ7488-888-8-8-88-2-28-8000200-2-2222-2000000000000000-22000000000000000000000000000000000000000
χ7588-8-48-844-4-2-2-440002−4i34i31-22-1-110000000000000001-1i3i3−i3−i300000000000000000000000000000000000
χ7688-8-48-844-4-2-2-4400024i3−4i31-22-1-110000000000000001-1−i3−i3i3i300000000000000000000000000000000000
χ7788-8-4-8844-4-2-24-400020012-2-1-110000000000000−2525-115−55−500000000000000000000000000000000000
χ7888-8-4-8844-4-2-24-400020012-2-1-11000000000000025−25-11−55−5500000000000000000000000000000000000
χ7916-160160000-16-4400000000-40000400000000000000000000000000000000000000000000000000000000
χ8016-160-800−8i38i38-44000000002002i3−2i3-200000000000000000000000000000000000000000000000000000000
χ8116-160-8008i3−8i38-4400000000200−2i32i3-200000000000000000000000000000000000000000000000000000000

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