Finite Group Databasebeta

← Group #14511606

Character table — Group #14511606

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size114455612121616161620202020242424242430606064646464808080808080808080808080120120
order1251022224336644441010102020224151530306666121212121212121244
χ11111111111111111111111111111111111111111111
χ21111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211
χ4111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1
χ5111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211
χ6111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1
χ71111-1-11111111ii−i−i11111-1-1-11111-1-1-1-1ii−i−iii−i−ii−i
χ81111-1-11111111−i−iii11111-1-1-11111-1-1-1-1−i−iii−i−iii−ii
χ91111-1-1111−1−i32−1+i32−1−i32−1+i32ii−i−i11111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59i−i
χ101111-1-1111−1−i32−1+i32−1−i32−1+i32−i−iii11111-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ii
χ111111-1-1111−1+i32−1−i32−1+i32−1−i32ii−i−i11111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43i−i
χ121111-1-1111−1+i32−1−i32−1+i32−1−i32−i−iii11111-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ii
χ133333333-1-1000033333-1-1-1-13-1-10000000000000000-1-1
χ143333333-1-10000-3-3-3-33-1-1-1-13-1-1000000000000000011
χ153333-3-33-1-100003i3i−3i−3i3-1-1-1-1-3110000000000000000−ii
χ163333-3-33-1-10000−3i−3i3i3i3-1-1-1-1-3110000000000000000i−i
χ1744-1-10044444440000-1-1-1-1-1000-1-1-1-100000000000000
χ1844-1-100444−2−2i3−2+2i3−2−2i3−2+2i30000-1-1-1-1-10001+i321−i321+i321−i3200000000000000
χ1944-1-100444−2+2i3−2−2i3−2+2i3−2−2i30000-1-1-1-1-10001−i321+i321−i321+i3200000000000000
χ204-44-44-400011-1-12i−2i2i−2i0000000011-1-111-1-1i−ii−ii−ii−i00
χ214-44-44-400011-1-1−2i2i−2i2i0000000011-1-111-1-1−ii−ii−ii−ii00
χ224-44-44-4000−1−i32−1+i321+i321−i322i−2i2i−2i00000000−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ5900
χ234-44-44-4000−1−i32−1+i321+i321−i32−2i2i−2i2i00000000−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ5900
χ244-44-44-4000−1+i32−1−i321−i321+i322i−2i2i−2i00000000−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ4300
χ254-44-44-4000−1+i32−1−i321−i321+i32−2i2i−2i2i00000000−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ4300
χ264-44-4-4400011-1-12-2-220000000011-1-1-1-1111-1-111-1-1100
χ274-44-4-4400011-1-1-222-20000000011-1-1-1-111-111-1-111-100
χ284-44-4-44000−1−i32−1+i321+i321−i322-2-2200000000−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i3200
χ294-44-4-44000−1−i32−1+i321+i321−i32-222-200000000−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i3200
χ304-44-4-44000−1+i32−1−i321−i321+i322-2-2200000000−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i3200
χ314-44-4-44000−1+i32−1−i321−i321+i32-222-200000000−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i3200
χ32666666-22-200000000-222-2-2-22-2000000000000000000
χ33666666-2-2200000000-2-2-222-2-22000000000000000000
χ346666-6-6-22-200000000-222-2-22-22000000000000000000
χ356666-6-6-2-2200000000-2-2-22222-2000000000000000000
χ361212-3-30012-4-400000000-31111000000000000000000000
χ371212-3-300-44-4000000001−1−25−1+2511000000000000000000000
χ381212-3-300-44-4000000001−1+25−1−2511000000000000000000000
χ391212-3-300-4-4400000000111−1−25−1+25000000000000000000000
χ401212-3-300-4-4400000000111−1+25−1−25000000000000000000000
χ4116-16-440000044-4-4000000000000-1-11100000000000000
χ4216-16-4400000−2−2i3−2+2i32+2i32−2i30000000000001+i321−i32−1−i32−1+i3200000000000000
χ4316-16-4400000−2+2i3−2−2i32−2i32+2i30000000000001−i321+i32−1+i32−1−i3200000000000000

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