Finite Group Databasebeta

← Group #11928309

Character table — Group #11928309

Order 1248.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1122244666666661212121212121212121212121313131326262626262652525252525252525252525252525252
order122444413132626262626265252525252525252525252523366661212121224668812121212121224242424
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ4111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321+i32-1-1−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32
χ5111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ6111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321−i32-1-1−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32
χ711111-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1
χ811111-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111
χ911111-1-1111111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32
χ1011111-1-1111111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321+i32111−i321−i321+i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ1111111-1-1111111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32
χ1211111-1-1111111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321−i32111+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32
χ1311-1-111-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1111-1111-11-11-1-1-11-11-1
χ1411-1-111-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-11-1-1-111-11-111-11-11
χ1511-1-111-111-1-1-1-11111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321-1−1+i32−1−i321-1−1+i321−i32−1−i321+i321−i321+i32−1+i321−i32−1−i321+i32
χ1611-1-111-111-1-1-1-11111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32-111−i321+i32-11−1+i321−i32−1−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32
χ1711-1-111-111-1-1-1-11111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321-1−1−i32−1+i321-1−1−i321+i32−1+i321−i321+i321−i32−1−i321+i32−1+i321−i32
χ1811-1-111-111-1-1-1-11111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32-111+i321−i32-11−1−i321+i32−1+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32
χ1911-1-11-1111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111-111-11-11-11-1-1-11-11
χ2011-1-11-1111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-11-1-11-1-11-11111-11-1
χ2111-1-11-1111-1-1-1-11111-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321-1−1+i32−1−i32-111−i32−1+i321+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32
χ2211-1-11-1111-1-1-1-11111-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32-111−i321+i321-11−i32−1+i321+i32−1−i32−1+i32−1−i32−1+i321−i32−1−i321+i32
χ2311-1-11-1111-1-1-1-11111-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321-1−1−i32−1+i32-111+i32−1−i321−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32
χ2411-1-11-1111-1-1-1-11111-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32-111+i321−i321-11+i32−1−i321−i32−1+i32−1−i32−1+i32−1−i321+i32−1+i321−i32
χ25222-2-20022222222-2-2-2-200000000222222-2-2-2-20000000000000000
χ26222-2-20022222222-2-2-2-200000000−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000000000000000
χ27222-2-20022222222-2-2-2-200000000−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000000000000000
χ2822-22-20022-2-2-2-222-2-222000000002222-2-222-2-20000000000000000
χ2922-22-20022-2-2-2-222-2-22200000000−1+i3−1−i3−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i30000000000000000
χ3022-22-20022-2-2-2-222-2-22200000000−1−i3−1+i3−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i30000000000000000
χ314-400000440000-4-400000000000044-4-40000000000000000000000
χ324-400000440000-4-4000000000000−2+2i3−2−2i32−2i32+2i30000000000000000000000
χ334-400000440000-4-4000000000000−2−2i3−2+2i32+2i32−2i30000000000000000000000
χ346666666−1+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+132−1−132−1−13200000000000000000000000000
χ356666666−1−132−1+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+13200000000000000000000000000
χ3666666-6-6−1+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+13200000000000000000000000000
χ3766666-6-6−1−132−1+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+1321−1321−13200000000000000000000000000
χ38666-6-600−1+132−1−132−1+132−1+132−1−132−1−132−1+132−1−1321−1321+1321−1321+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−ζ3700000000000000000000000000
χ39666-6-600−1+132−1−132−1+132−1+132−1−132−1−132−1+132−1−1321−1321+1321−1321+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+ζ3700000000000000000000000000
χ40666-6-600−1−132−1+132−1−132−1−132−1+132−1+132−1−132−1+1321+1321−1321+1321−132−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−ζ3800000000000000000000000000
χ41666-6-600−1−132−1+132−1−132−1−132−1+132−1+132−1−132−1+1321+1321−1321+1321−132ζ2+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+ζ3800000000000000000000000000
χ4266-66-600−1+132−1−1321−1321−1321+1321+132−1+132−1−1321−1321+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+ζ3700000000000000000000000000
χ4366-66-600−1+132−1−1321−1321−1321+1321+132−1+132−1−1321−1321+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−ζ3700000000000000000000000000
χ4466-66-600−1−132−1+1321+1321+1321−1321−132−1−132−1+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+ζ3800000000000000000000000000
χ4566-66-600−1−132−1+1321+1321+1321−1321−132−1−132−1+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−ζ3800000000000000000000000000
χ4666-6-666-6−1+132−1−1321−1321−1321+1321+132−1+132−1−132−1+132−1−1321−1321+132−1+132−1+132−1−132−1−1321−1321−1321+1321+13200000000000000000000000000
χ4766-6-666-6−1−132−1+1321+1321+1321−1321−132−1−132−1+132−1−132−1+1321+1321−132−1−132−1−132−1+132−1+1321+1321+1321−1321−13200000000000000000000000000
χ4866-6-66-66−1+132−1−1321−1321−1321+1321+132−1+132−1−132−1+132−1−1321−1321+1321−1321−1321+1321+132−1+132−1+132−1−132−1−13200000000000000000000000000
χ4966-6-66-66−1−132−1+1321+1321+1321−1321−132−1−132−1+132−1−132−1+1321+1321−1321+1321+1321−1321−132−1−132−1−132−1+132−1+13200000000000000000000000000
χ5012-1200000−1+13−1−132ζ−2ζ4−2ζ10+2ζ14+2ζ16−2ζ17+2ζ22−2ζ23−2ζ25+2ζ29+2ζ35−2ζ38−2ζ+2ζ4+2ζ10−2ζ14−2ζ16+2ζ17−2ζ22+2ζ23+2ζ25−2ζ29−2ζ35+2ζ38−2ζ2−2ζ5+2ζ7+2ζ8+2ζ11−2ζ19+2ζ20−2ζ28−2ζ31−2ζ32+2ζ34+2ζ372ζ2+2ζ5−2ζ7−2ζ8−2ζ11+2ζ19−2ζ20+2ζ28+2ζ31+2ζ32−2ζ34−2ζ371−131+1300000000000000000000000000000000000000
χ5112-1200000−1+13−1−13−2ζ+2ζ4+2ζ10−2ζ14−2ζ16+2ζ17−2ζ22+2ζ23+2ζ25−2ζ29−2ζ35+2ζ382ζ−2ζ4−2ζ10+2ζ14+2ζ16−2ζ17+2ζ22−2ζ23−2ζ25+2ζ29+2ζ35−2ζ382ζ2+2ζ5−2ζ7−2ζ8−2ζ11+2ζ19−2ζ20+2ζ28+2ζ31+2ζ32−2ζ34−2ζ37−2ζ2−2ζ5+2ζ7+2ζ8+2ζ11−2ζ19+2ζ20−2ζ28−2ζ31−2ζ32+2ζ34+2ζ371−131+1300000000000000000000000000000000000000
χ5212-1200000−1−13−1+13−2ζ2−2ζ5+2ζ7+2ζ8+2ζ11−2ζ19+2ζ20−2ζ28−2ζ31−2ζ32+2ζ34+2ζ372ζ2+2ζ5−2ζ7−2ζ8−2ζ11+2ζ19−2ζ20+2ζ28+2ζ31+2ζ32−2ζ34−2ζ37−2ζ+2ζ4+2ζ10−2ζ14−2ζ16+2ζ17−2ζ22+2ζ23+2ζ25−2ζ29−2ζ35+2ζ382ζ−2ζ4−2ζ10+2ζ14+2ζ16−2ζ17+2ζ22−2ζ23−2ζ25+2ζ29+2ζ35−2ζ381+131−1300000000000000000000000000000000000000
χ5312-1200000−1−13−1+132ζ2+2ζ5−2ζ7−2ζ8−2ζ11+2ζ19−2ζ20+2ζ28+2ζ31+2ζ32−2ζ34−2ζ37−2ζ2−2ζ5+2ζ7+2ζ8+2ζ11−2ζ19+2ζ20−2ζ28−2ζ31−2ζ32+2ζ34+2ζ372ζ−2ζ4−2ζ10+2ζ14+2ζ16−2ζ17+2ζ22−2ζ23−2ζ25+2ζ29+2ζ35−2ζ38−2ζ+2ζ4+2ζ10−2ζ14−2ζ16+2ζ17−2ζ22+2ζ23+2ζ25−2ζ29−2ζ35+2ζ381+131−1300000000000000000000000000000000000000

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