Finite Group Databasebeta

← Group #14279072

Character table — Group #14279072

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11222224444444558888888881010101010161616161616161620202020202020202020202020202020202424404040404040404048484848120120120120120120
order1223666224566102261012152020303030266661010303030306060224444466121212121212121288446121212121240404040444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ411111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ511111111111111-1-1111111111-1-1-1-1-111111111-1-1-1ii−i−i-1-1iiii−i−i−i−i11i−i-1-1ii−i−i1111ii−i−i-1-1
χ611111111111111-1-1111111111-1-1-1-1-111111111-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1i−i-1-1ii−i−i-1-1-1-1−i−iii11
χ711111111111111-1-1111111111-1-1-1-1-111111111-1-1-1−i−iii-1-1−i−i−i−iiiii11−ii-1-1−i−iii1111−i−iii-1-1
χ811111111111111-1-1111111111-1-1-1-1-111111111-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1−ii-1-1−i−iii-1-1-1-1ii−i−i11
χ911111111-1-1111111-11-11-1-1111111111-111-1-1-1-11-1-111111111111111i−i-1-1-1-1-1-1-1-1ii−i−ii−ii−ii−i
χ1011111111-1-1111111-11-11-1-1111111111-111-1-1-1-11-1-111111111111111−ii-1-1-1-1-1-1-1-1−i−iii−ii−ii−ii
χ1111111111-1-1111111-11-11-1-1111111111-111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1i−i11-1-11111ii−i−i−ii−iii−i
χ1211111111-1-1111111-11-11-1-1111111111-111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1−ii11-1-11111−i−iiii−ii−i−ii
χ1311111111-1-11111-1-1-11-11-1-1111-1-1-1-1-11-111-1-1-1-1-111ii−i−i-1-1iiii−i−i−i−ii−i−ii11−i−iiiii−i−i-111-1−ii
χ1411111111-1-11111-1-1-11-11-1-1111-1-1-1-1-11-111-1-1-1-1-111ii−i−i-1-1iiii−i−i−i−i−ii−ii11−i−iii−i−iii1-1-11i−i
χ1511111111-1-11111-1-1-11-11-1-1111-1-1-1-1-11-111-1-1-1-1-111−i−iii-1-1−i−i−i−iiiiii−ii−i11ii−i−iii−i−i1-1-11−ii
χ1611111111-1-11111-1-1-11-11-1-1111-1-1-1-1-11-111-1-1-1-1-111−i−iii-1-1−i−i−i−iiiii−iii−i11ii−i−i−i−iii-111-1i−i
χ172222222-22-22-2-222222-22-2-222222222-22-2-222-2-2-22-20000-2-20000000000002-200000000000000
χ182222222-22-22-2-22-2-222-22-2-2222-2-2-2-2-2-22-2-222-2-22-22000022000000000000-2200000000000000
χ192222222-2-222-2-2222-22222222222222-2-2-2-2-2-222-2-220000-2-2000000000000-2200000000000000
χ202222222-2-222-2-22-2-2-222222222-2-2-2-2-2-2-2-2-2-2-22222-20000220000000000002-200000000000000
χ21222-1-1-1-12222-1-1222-12-1-122-1-1-12-1-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-10022-1-1-1-1-1-10000000000
χ22222-1-1-1-12222-1-1222-12-1-122-1-1-12-1-1-1-122-1-1-1-1-1-1222-2-2-2-2-1-11111111100-2-2-1-111110000000000
χ23222-1-1-1-12222-1-12-2-2-12-1-122-1-1-1-2111122-1-1-1-1-1-1-2-2-22i2i−2i−2i11−i−i−i−iiiii002i−2i11−i−iii0000000000
χ24222-1-1-1-12222-1-12-2-2-12-1-122-1-1-1-2111122-1-1-1-1-1-1-2-2-2−2i−2i2i2i11iiii−i−i−i−i00−2i2i11ii−i−i0000000000
χ25222-1-1-1-12-2-22-1-1222121-1-2-2-1-1-12-1-1-1-12-2-1-111112-2-22222-1-1-1-1-1-1-1-1-1-100-2-21111110000000000
χ26222-1-1-1-12-2-22-1-1222121-1-2-2-1-1-12-1-1-1-12-2-1-111112-2-2-2-2-2-2-1-111111111002211-1-1-1-10000000000
χ27222-1-1-1-12-2-22-1-12-2-2121-1-2-2-1-1-1-211112-2-1-11111-2222i2i−2i−2i11−i−i−i−iiiii00−2i2i-1-1ii−i−i0000000000
χ28222-1-1-1-12-2-22-1-12-2-2121-1-2-2-1-1-1-211112-2-1-11111-222−2i−2i2i2i11iiii−i−i−i−i002i−2i-1-1−i−iii0000000000
χ29222-1-1-1-1-22-2211222-121-1-2-2-1-1-12-1-1-1-1-2211-1-111-22-2000011−i3−i3i3i3−i3−i3i3i30000-11−i3i3−i3i30000000000
χ30222-1-1-1-1-22-2211222-121-1-2-2-1-1-12-1-1-1-1-2211-1-111-22-2000011i3i3−i3−i3i3i3−i3−i30000-11i3−i3i3−i30000000000
χ31222-1-1-1-1-22-22112-2-2-121-1-2-2-1-1-1-21111-2211-1-1112-220000-1-133−3−3−3−33300001-13−3−330000000000
χ32222-1-1-1-1-22-22112-2-2-121-1-2-2-1-1-1-21111-2211-1-1112-220000-1-1−3−33333−3−300001-1−333−30000000000
χ33222-1-1-1-1-2-2221122212-1-122-1-1-12-1-1-1-1-2-21111-1-1-2-22000011−i3−i3i3i3−i3−i3i3i300001-1i3−i3i3−i30000000000
χ34222-1-1-1-1-2-2221122212-1-122-1-1-12-1-1-1-1-2-21111-1-1-2-22000011i3i3−i3−i3i3i3−i3−i300001-1−i3i3−i3i30000000000
χ35222-1-1-1-1-2-222112-2-212-1-122-1-1-1-21111-2-21111-1-122-20000-1-133−3−3−3−3330000-11−333−30000000000
χ36222-1-1-1-1-2-222112-2-212-1-122-1-1-1-21111-2-21111-1-122-20000-1-1−3−33333−3−30000-113−3−330000000000
χ374444444444-144-1004-14-1-1-1-1-1-100000-1-1-1-1-1-1-1-1000000000000000004400000000-1-1-1-1000000
χ384444444444-144-1004-14-1-1-1-1-1-100000-1-1-1-1-1-1-1-100000000000000000-4-4000000001111000000
χ3944444444-4-4-144-100-4-1-4-111-1-1-100000-11-1-11111000000000000000004i−4i00000000−i−iii000000
χ4044444444-4-4-144-100-4-1-4-111-1-1-100000-11-1-1111100000000000000000−4i4i00000000ii−i−i000000
χ414444444-44-4-1-4-4-1004-1-4-111-1-1-1000001-111-1-111000000000000000000000000000−i5i5−i5i5000000
χ424444444-44-4-1-4-4-1004-1-4-111-1-1-1000001-111-1-111000000000000000000000000000i5−i5i5−i5000000
χ434444444-4-44-1-4-4-100-4-14-1-1-1-1-1-100000111111-1-1000000000000000000000000000−555−5000000
χ444444444-4-44-1-4-4-100-4-14-1-1-1-1-1-100000111111-1-10000000000000000000000000005−5−55000000
χ4544-44-4-440004004440-40400-4-44-44-4-44000000000000000000000000000000000000000000000
χ4644-44-4-440004004-4-40-40400-4-444-444-4000000000000000000000000000000000000000000000
χ4744-4-222-20004−2i32i34440-40-20022-2-4-222-200−2i32i300000000000−2i32i30000000000000000000000000000
χ4844-4-222-20004−2i32i34-4-40-40-20022-242-2-2200−2i32i3000000000002i3−2i30000000000000000000000000000
χ4944-4-222-200042i3−2i34440-40-20022-2-4-222-2002i3−2i3000000000002i3−2i30000000000000000000000000000
χ5044-4-222-200042i3−2i34-4-40-40-20022-242-2-22002i3−2i300000000000−2i32i30000000000000000000000000000
χ514-40400-4000400-44-400040000-40400-4000000000002i−2i2i−2i002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ524-40400-4000400-44-400040000-40400-400000000000−2i2i−2i2i00−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ534-40400-4000400-4-4400040000-40-4004000000000002-2-22002-22-2-22-2200000000000000000000
χ544-40400-4000400-4-4400040000-40-400400000000000-222-200-22-222-22-200000000000000000000
χ554-40-2−2i32i32000400-44-4000-200−2i32i320-2−2i32i32000000000002i−2i2i−2i00−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ4300000000000000000000
χ564-40-2−2i32i32000400-44-4000-200−2i32i320-2−2i32i3200000000000−2i2i−2i2i002ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ4300000000000000000000
χ574-40-2−2i32i32000400-4-44000-200−2i32i32022i3−2i3-2000000000002-2-2200−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i300000000000000000000
χ584-40-2−2i32i32000400-4-44000-200−2i32i32022i3−2i3-200000000000-222-2001−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000
χ594-40-22i3−2i32000400-44-4000-2002i3−2i320-22i3−2i32000000000002i−2i2i−2i00−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ5900000000000000000000
χ604-40-22i3−2i32000400-44-4000-2002i3−2i320-22i3−2i3200000000000−2i2i−2i2i002ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ5900000000000000000000
χ614-40-22i3−2i32000400-4-44000-2002i3−2i3202−2i32i3-2000000000002-2-2200−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000
χ624-40-22i3−2i32000400-4-44000-2002i3−2i3202−2i32i3-200000000000-222-2001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000
χ63888-4-4-4-4888-2-4-4-200-4-2-41-2-211100000-2-21111110000000000000000000000000000000000000
χ64888-4-4-4-48-8-8-2-4-4-2004-2412211100000-2211-1-1-1-10000000000000000000000000000000000000
χ65888-4-4-4-4-88-8-244-200-4-24122111000002-2-1-111-1-10000000000000000000000000000000000000
χ66888-4-4-4-4-8-88-244-2004-2-41-2-21110000022-1-1-1-1110000000000000000000000000000000000000
χ6788-88-8-88000-200-200020-2−252522-200000000000−25250000000000000000000000000000000000000
χ6888-88-8-88000-200-200020-225−2522-20000000000025−250000000000000000000000000000000000000
χ6988-8-444-4000-2−4i34i3-2000201−2525-1-110000000i3−i3−i15i155−50000000000000000000000000000000000000
χ7088-8-444-4000-2−4i34i3-200020125−25-1-110000000i3−i3i15−i15−550000000000000000000000000000000000000
χ7188-8-444-4000-24i3−4i3-2000201−2525-1-110000000−i3i3i15−i155−50000000000000000000000000000000000000
χ7288-8-444-4000-24i3−4i3-200020125−25-1-110000000−i3i3−i15i15−550000000000000000000000000000000000000
χ7316-1601600-16000-400400000-40000400000000000000000000000000000000000000000000000000
χ7416-160-8−8i38i38000-4004000002002i3−2i3-200000000000000000000000000000000000000000000000000
χ7516-160-88i3−8i38000-400400000200−2i32i3-200000000000000000000000000000000000000000000000000

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