Finite Group Databasebeta

← Group #11928298

Character table — Group #11928298

Order 1248.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111122446666666612121212121212121212121213131313131313132626262626262626262626262626262652525252525252525252
order1222442213132626262626262626262626262626525252523366666644441212121212121212121212122266666666
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ41111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ51111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ61111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ7111111-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ8111111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111
χ9111111-1-111111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ10111111-1-111111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ11111111-1-111111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ12111111-1-111111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ131111-1-11-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-11-11-11-11-11-1
χ141111-1-11-1111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-111-11-1-11-11
χ151111-1-11-1111111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ161111-1-11-1111111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ171111-1-11-1111111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ181111-1-11-1111111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ191111-1-1-1111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-11-11-11-11-11
χ201111-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1111-1-11-111-11-1
χ211111-1-1-1111111111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ221111-1-1-1111111111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ231111-1-1-1111111111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ241111-1-1-1111111111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ2522-2-22-20022-2-2-2-2220000000022-2-2222-2-22-2-200002-22-2000000000000000000
χ2622-2-22-20022-2-2-2-2220000000022-2-2−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i30000−1+i31−i3−1−i31+i3000000000000000000
χ2722-2-22-20022-2-2-2-2220000000022-2-2−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i30000−1−i31+i3−1+i31−i3000000000000000000
χ2822-2-2-220022-2-2-2-22200000000-2-222222-2-22-2-20000-22-22000000000000000000
χ2922-2-2-220022-2-2-2-22200000000-2-222−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i300001−i3−1+i31+i3−1−i3000000000000000000
χ3022-2-2-220022-2-2-2-22200000000-2-222−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i300001+i3−1−i31−i3−1+i3000000000000000000
χ312-22-200002222-2-2-2-200000000000022-22-2-22-2002-20000002-2002-20000000000
χ322-22-200002222-2-2-2-200000000000022-22-2-22-200-22000000-2200-220000000000
χ332-22-200002222-2-2-2-2000000000000−1+i3−1−i31−i3−1+i31−i31+i3−1−i31+i3002-2000000−1+i31−i300−1−i31+i30000000000
χ342-22-200002222-2-2-2-2000000000000−1+i3−1−i31−i3−1+i31−i31+i3−1−i31+i300-220000001−i3−1+i3001+i3−1−i30000000000
χ352-22-200002222-2-2-2-2000000000000−1−i3−1+i31+i3−1−i31+i31−i3−1+i31−i3002-2000000−1−i31+i300−1+i31−i30000000000
χ362-22-200002222-2-2-2-2000000000000−1−i3−1+i31+i3−1−i31+i31−i3−1+i31−i300-220000001+i3−1−i3001−i3−1+i30000000000
χ372-2-22000022-2-222-2-200000000000022-2-22-2-222-20000002-2002-2000000000000
χ382-2-22000022-2-222-2-200000000000022-2-22-2-22-22000000-2200-22000000000000
χ392-2-22000022-2-222-2-2000000000000−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i32-2000000−1+i31−i300−1−i31+i3000000000000
χ402-2-22000022-2-222-2-2000000000000−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i3-220000001−i3−1+i3001+i3−1−i3000000000000
χ412-2-22000022-2-222-2-2000000000000−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i32-2000000−1−i31+i300−1+i31−i3000000000000
χ422-2-22000022-2-222-2-2000000000000−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i3-220000001+i3−1−i3001−i3−1+i3000000000000
χ4366666666−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1+132−1−132−1−132−1+132−1+132−1−132−1−132−1+132−1−132−1+132−1−1320000000000000000000000000000000000
χ4466666666−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1−132−1+132−1+132−1−132−1−132−1+132−1+132−1−132−1+132−1−132−1+1320000000000000000000000000000000000
χ45666666-6-6−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−1321−1321−1321+1321+1321−1321−1321+1321+132−1+132−1−132−1+132−1−1320000000000000000000000000000000000
χ46666666-6-6−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+1321+1321+1321−1321−1321+1321+1321−1321−132−1−132−1+132−1−132−1+1320000000000000000000000000000000000
χ476666-6-66-6−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1+132−1−132−1−1321−1321−1321+1321+1321−1321+1321−1321+1320000000000000000000000000000000000
χ486666-6-66-6−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1−132−1+132−1+1321+1321+1321−1321−1321+1321−1321+1321−1320000000000000000000000000000000000
χ496666-6-6-66−1+132−1−132−1+132−1−132−1+132−1−132−1+132−1−1321−1321−1321+1321+132−1+132−1+132−1−132−1−1321−1321+1321−1321+1320000000000000000000000000000000000
χ506666-6-6-66−1−132−1+132−1−132−1+132−1−132−1+132−1−132−1+1321+1321+1321−1321−132−1−132−1−132−1+132−1+1321+1321−1321+1321−1320000000000000000000000000000000000
χ5166-6-66-600−1+132−1−1321−1321+1321−1321+132−1+132−1−132ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37−1+132−1−1321−1321+1320000000000000000000000000000000000
χ5266-6-66-600−1+132−1−1321−1321+1321−1321+132−1+132−1−132−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37−1+132−1−1321−1321+1320000000000000000000000000000000000
χ5366-6-66-600−1−132−1+1321+1321−1321+1321−132−1−132−1+132−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38−1−132−1+1321+1321−1320000000000000000000000000000000000
χ5466-6-66-600−1−132−1+1321+1321−1321+1321−132−1−132−1+132ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38−1−132−1+1321+1321−1320000000000000000000000000000000000
χ5566-6-6-6600−1+132−1−1321−1321+1321−1321+132−1+132−1−132ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ371−1321+132−1+132−1−1320000000000000000000000000000000000
χ5666-6-6-6600−1+132−1−1321−1321+1321−1321+132−1+132−1−132−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ371−1321+132−1+132−1−1320000000000000000000000000000000000
χ5766-6-6-6600−1−132−1+1321+1321−1321+1321−132−1−132−1+132−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ381+1321−132−1−132−1+1320000000000000000000000000000000000
χ5866-6-6-6600−1−132−1+1321+1321−1321+1321−132−1−132−1+132ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ38−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38−ζ2−ζ5+ζ7+ζ8+ζ11−ζ19+ζ20−ζ28−ζ31−ζ32+ζ34+ζ37ζ2+ζ5−ζ7−ζ8−ζ11+ζ19−ζ20+ζ28+ζ31+ζ32−ζ34−ζ37−ζ+ζ4+ζ10−ζ14−ζ16+ζ17−ζ22+ζ23+ζ25−ζ29−ζ35+ζ38ζ−ζ4−ζ10+ζ14+ζ16−ζ17+ζ22−ζ23−ζ25+ζ29+ζ35−ζ381+1321−132−1−132−1+1320000000000000000000000000000000000
χ5912-1212-120000−1+13−1−13−1+13−1−131−131+131−131+130000000000000000000000000000000000000000000000
χ6012-1212-120000−1−13−1+13−1−13−1+131+131−131+131−130000000000000000000000000000000000000000000000
χ6112-12-12120000−1+13−1−131−131+13−1+13−1−131−131+130000000000000000000000000000000000000000000000
χ6212-12-12120000−1−13−1+131+131−13−1−13−1+131+131−130000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 39 (ζ39 = 1); i = ζ9.