Finite Group Databasebeta

← Group #14516924

Character table — Group #14516924

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size112233336666661818181818181818181818181818183636363636365454545454545454545454545454545454545454545454545454
order12363366333666333466699912121818189991818182266666666666666661212363636363636
χ11111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ311111111111111111-1111111-1-11111111111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111-1111111-1-1111111111-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ51111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ61111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ71111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11−1−i32−1+i321−1−i32−1+i32-1-11−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321-1−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321+i321−i32-1-11+i321+i321−i321−i32
χ81111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11−1−i32−1+i321−1−i32−1+i32-1-11−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-111+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i32-1-11+i321+i321−i321−i32
χ91111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ101111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−1+i32−1−i321−1+i32−1−i32-1-11−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321-1−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321−i321+i32-1-11−i321−i321+i321+i32
χ121111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−1+i32−1−i321−1+i32−1−i32-1-11−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-111−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i32-1-11−i321−i321+i321+i32
χ13222222222222222222222-1-1-122-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1-1-1
χ1422222222222222222-2222-1-1-1-2-2-1-1-1-1-1-1-1-1-1000000000000000000-2-2111111
χ1522222222222222-1-1-10-1-1-122200222-1-1-1-1-1-1020022000000-1-1-1-1-1-100000000
χ1622222222222222-1-1-10-1-1-122200222-1-1-1-1-1-10-200-2-200000011111100000000
χ172222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i322−1−i3−1+i3-11+i321−i3222-11+i321−i32-11+i321−i32-11+i321−i32000000000000000000−1−i3−1+i3-1-11+i321+i321−i321−i32
χ182222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-22−1−i3−1+i3-11+i321−i32-2-2-11+i321−i32-11+i321−i32-11+i321−i320000000000000000001+i31−i311−1−i32−1−i32−1+i32−1+i32
χ192222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-11+i321−i320-11+i321−i322−1−i3−1+i3002−1−i3−1+i3-11+i321−i32-11+i321−i320200−1−i3−1+i3000000-1-11+i321+i321−i321−i3200000000
χ202222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-11+i321−i320-11+i321−i322−1−i3−1+i3002−1−i3−1+i3-11+i321−i32-11+i321−i320-2001+i31−i300000011−1−i32−1−i32−1+i32−1+i3200000000
χ212222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i322−1+i3−1−i3-11−i321+i3222-11−i321+i32-11−i321+i32-11−i321+i32000000000000000000−1+i3−1−i3-1-11−i321−i321+i321+i32
χ222222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-22−1+i3−1−i3-11−i321+i32-2-2-11−i321+i32-11−i321+i32-11−i321+i320000000000000000001−i31+i311−1+i32−1+i32−1−i32−1−i32
χ232222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-11−i321+i320-11−i321+i322−1+i3−1−i3002−1+i3−1−i3-11−i321+i32-11−i321+i320200−1+i3−1−i3000000-1-11−i321−i321+i321+i3200000000
χ242222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-11−i321+i320-11−i321+i322−1+i3−1−i3002−1+i3−1−i3-11−i321+i32-11−i321+i320-2001−i31+i300000011−1+i32−1+i32−1−i32−1−i3200000000
χ252-22-222-2-2222-2-2-22220-2-2-222200-2-2-2222-2-2-200000000000000000000000000
χ262-22-222-2-2222-2-2-22220-2-2-2-1-1-100111-1-1-1111000000000000000000003−33−33−3
χ272-22-222-2-2222-2-2-22220-2-2-2-1-1-100111-1-1-111100000000000000000000−33−33−33
χ282-22-222-2-2222-2-2-2-1-1-1011122200-2-2-2-1-1-1111000000000000−i3i3−i3i3−i3i300000000
χ292-22-222-2-2222-2-2-2-1-1-1011122200-2-2-2-1-1-1111000000000000i3−i3i3−i3i3−i300000000
χ302-22-2−1−i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i32−1−i3−1+i30-21+i31−i32−1−i3−1+i300-21+i31−i32−1−i3−1+i3-21+i31−i300000000000000000000000000
χ312-22-2−1−i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i32−1−i3−1+i30-21+i31−i3-11+i321−i32001−1−i32−1+i32-11+i321−i321−1−i32−1+i32000000000000000000003−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11
χ322-22-2−1−i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i32−1−i3−1+i30-21+i31−i3-11+i321−i32001−1−i32−1+i32-11+i321−i321−1−i32−1+i3200000000000000000000−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11
χ332-22-2−1−i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i3-11+i321−i3201−1−i32−1+i322−1−i3−1+i300-21+i31−i3-11+i321−i321−1−i32−1+i32000000000000−i3i3−3+i323−i323+i32−3−i3200000000
χ342-22-2−1−i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i3-11+i321−i3201−1−i32−1+i322−1−i3−1+i300-21+i31−i3-11+i321−i321−1−i32−1+i32000000000000i3−i33−i32−3+i32−3−i323+i3200000000
χ352-22-2−1+i3−1−i31−i31+i32−1+i3−1−i3-21−i31+i32−1+i3−1−i30-21−i31+i32−1+i3−1−i300-21−i31+i32−1+i3−1−i3-21−i31+i300000000000000000000000000
χ362-22-2−1+i3−1−i31−i31+i32−1+i3−1−i3-21−i31+i32−1+i3−1−i30-21−i31+i3-11−i321+i32001−1+i32−1−i32-11−i321+i321−1+i32−1−i32000000000000000000003−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11
χ372-22-2−1+i3−1−i31−i31+i32−1+i3−1−i3-21−i31+i32−1+i3−1−i30-21−i31+i3-11−i321+i32001−1+i32−1−i32-11−i321+i321−1+i32−1−i3200000000000000000000−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11
χ382-22-2−1+i3−1−i31−i31+i32−1+i3−1−i3-21−i31+i3-11−i321+i3201−1+i32−1−i322−1+i3−1−i300-21−i31+i3-11−i321+i321−1+i32−1−i32000000000000−i3i33+i32−3−i32−3+i323−i3200000000
χ392-22-2−1+i3−1−i31−i31+i32−1+i3−1−i3-21−i31+i3-11−i321+i3201−1+i32−1−i322−1+i3−1−i300-21−i31+i3-11−i321+i321−1+i32−1−i32000000000000i3−i3−3−i323+i323−i32−3+i3200000000
χ4044444444444444-2-2-20-2-2-2-2-2-200-2-2-211111100000000000000000000000000
χ414444−2−2i3−2+2i3−2−2i3−2+2i34−2−2i3−2+2i34−2−2i3−2+2i3-21+i31−i30-21+i31−i3-21+i31−i300-21+i31−i31−1−i32−1+i321−1−i32−1+i3200000000000000000000000000
χ424444−2+2i3−2−2i3−2+2i3−2−2i34−2+2i3−2−2i34−2+2i3−2−2i3-21−i31+i30-21−i31+i3-21−i31+i300-21−i31+i31−1+i32−1−i321−1+i32−1−i3200000000000000000000000000
χ434-44-444-4-4444-4-4-4-2-2-20222-2-2-200222111-1-1-100000000000000000000000000
χ444-44-4−2−2i3−2+2i32+2i32−2i34−2−2i3−2+2i3-42+2i32−2i3-21+i31−i302−1−i3−1+i3-21+i31−i3002−1−i3−1+i31−1−i32−1+i32-11+i321−i3200000000000000000000000000
χ454-44-4−2+2i3−2−2i32−2i32+2i34−2+2i3−2−2i3-42−2i32+2i3-21−i31+i302−1+i3−1−i3-21−i31+i3002−1+i3−1−i31−1+i32−1−i32-11−i321+i3200000000000000000000000000
χ4666666666-3-3-3-3-3-3000000000000000000000202200-1-1-1-1-1-100000000000000
χ4766666666-3-3-3-3-3-3000000000000000000000-20-2-20011111100000000000000
χ486666−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i3200000000000000000000020−1−i3−1+i300-1-11+i321+i321−i321−i3200000000000000
χ496666−3−3i3−3+3i3−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32000000000000000000000-201+i31−i30011−1−i32−1−i32−1+i32−1+i3200000000000000
χ506666−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i3200000000000000000000020−1+i3−1−i300-1-11−i321−i321+i321+i3200000000000000
χ516666−3+3i3−3−3i3−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32000000000000000000000-201−i31+i30011−1+i32−1+i32−1−i32−1−i3200000000000000
χ526-66-666-6-6-3-3-3333000000000000000000000000000−i3i3−i3i3−i3i300000000000000
χ536-66-666-6-6-3-3-3333000000000000000000000000000i3−i3i3−i3i3−i300000000000000
χ546-66-6−3−3i3−3+3i33+3i33−3i3-33+3i323−3i323−3−3i32−3+3i32000000000000000000000000000−i3i3−3+i323−i323+i32−3−i3200000000000000
χ556-66-6−3−3i3−3+3i33+3i33−3i3-33+3i323−3i323−3−3i32−3+3i32000000000000000000000000000i3−i33−i32−3+i32−3−i323+i3200000000000000
χ566-66-6−3+3i3−3−3i33−3i33+3i3-33−3i323+3i323−3+3i32−3−3i32000000000000000000000000000−i3i33+i32−3−i32−3+i323−i3200000000000000
χ576-66-6−3+3i3−3−3i33−3i33+3i3-33−3i323+3i323−3+3i32−3−3i32000000000000000000000000000i3−i3−3−i323+i323−i32−3+i3200000000000000
χ581818-9-900000000000006000000-3-300000000000000000000000000000000000
χ591818-9-90000000000000-60000003300000000000000000000000000000000000
χ6018-18-990000000000000000000033−3300000000000000000000000000000000000
χ6118-18-9900000000000000000000−333300000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.