Finite Group Databasebeta

← Group #11921250

Character table — Group #11921250

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1333331616133333161626666632322666663232266666323226666632322666663232618181818189696618181818189696
order124444332244446622444466361212121233661212121266661212121266661212121266224444664444441212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32
χ3111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32
χ433-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100
χ53-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00
χ63-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i00
χ73-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i1100
χ83-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i1100
χ911111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32
χ11111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32
χ1233-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100
χ133-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00
χ143-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00
χ153-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100-311−2i1+2i-1-100
χ163-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-100
χ171111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ18111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32
χ19111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32
χ2033-1-1-1-10033-1-1-1-100-3-311110033-1-1-1-10033-1-1-1-100-3-3111100-3-311110033-1-1-1-100-3-3111100
χ213-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00
χ223-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00
χ233-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-1003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100-311−2i1+2i-1-1003-1−1+2i−1−2i1100-311−2i1+2i-1-100
χ243-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-1003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-1003-1−1−2i−1+2i1100-311+2i1−2i-1-100
χ251111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ26111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32
χ27111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32
χ2833-1-1-1-10033-1-1-1-100-3-311110033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100-3-311110033-1-1-1-100
χ293-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i003-111−1+2i−1−2i00
χ303-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i003-111−1−2i−1+2i00
χ313-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-1003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100-311−2i1+2i-1-100-311−2i1+2i-1-1003-1−1+2i−1−2i1100
χ323-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-1003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-100-311+2i1−2i-1-1003-1−1−2i−1+2i1100
χ33222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ34222222−1−i3−1+i3222222−1−i3−1+i3222222−1−i3−1+i3-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i320000000000000000
χ35222222−1+i3−1−i3222222−1+i3−1−i3222222−1+i3−1−i3-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i320000000000000000
χ3666-2-2-2-20066-2-2-2-20066-2-2-2-200-3-3111100-3-3111100-3-3111100-3-31111000000000000000000
χ376-222−2+4i−2−4i006-222−2+4i−2−4i006-222−2+4i−2−4i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i000000000000000000
χ386-222−2−4i−2+4i006-222−2−4i−2+4i006-222−2−4i−2+4i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i000000000000000000
χ396-2−2+4i−2−4i22006-2−2+4i−2−4i22006-2−2+4i−2−4i2200-311−2i1+2i-1-100-311−2i1+2i-1-100-311−2i1+2i-1-100-311−2i1+2i-1-1000000000000000000
χ406-2−2−4i−2+4i22006-2−2−4i−2+4i22006-2−2−4i−2+4i2200-311+2i1−2i-1-100-311+2i1−2i-1-100-311+2i1−2i-1-100-311+2i1−2i-1-1000000000000000000
χ412222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ42222222−1−i3−1+i3222222−1−i3−1+i3-2-2-2-2-2-21+i31−i3-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i320000000000000000
χ43222222−1+i3−1−i3222222−1+i3−1−i3-2-2-2-2-2-21−i31+i3-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i320000000000000000
χ4466-2-2-2-20066-2-2-2-200-6-6222200-3-3111100-3-311110033-1-1-1-10033-1-1-1-1000000000000000000
χ456-222−2+4i−2−4i006-222−2+4i−2−4i00-62-2-22−4i2+4i00-31-1-11−2i1+2i00-31-1-11−2i1+2i003-111−1+2i−1−2i003-111−1+2i−1−2i000000000000000000
χ466-222−2−4i−2+4i006-222−2−4i−2+4i00-62-2-22+4i2−4i00-31-1-11+2i1−2i00-31-1-11+2i1−2i003-111−1−2i−1+2i003-111−1−2i−1+2i000000000000000000
χ476-2−2+4i−2−4i22006-2−2+4i−2−4i2200-622−4i2+4i-2-200-311−2i1+2i-1-100-311−2i1+2i-1-1003-1−1+2i−1−2i11003-1−1+2i−1−2i11000000000000000000
χ486-2−2−4i−2+4i22006-2−2−4i−2+4i2200-622+4i2−4i-2-200-311+2i1−2i-1-100-311+2i1−2i-1-1003-1−1−2i−1+2i11003-1−1−2i−1+2i11000000000000000000
χ4922222222-2-2-2-2-2-2-2-20000000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ50222222−1−i3−1+i3-2-2-2-2-2-21+i31−i300000000222222−1−i3−1+i3-2-2-2-2-2-21+i31−i300000000000000000000000000000000
χ51222222−1+i3−1−i3-2-2-2-2-2-21−i31+i300000000222222−1+i3−1−i3-2-2-2-2-2-21−i31+i300000000000000000000000000000000
χ5266-2-2-2-200-6-62222000000000066-2-2-2-200-6-622220000000000000000000000000000000000
χ536-222−2+4i−2−4i00-62-2-22−4i2+4i00000000006-222−2+4i−2−4i00-62-2-22−4i2+4i0000000000000000000000000000000000
χ546-222−2−4i−2+4i00-62-2-22+4i2−4i00000000006-222−2−4i−2+4i00-62-2-22+4i2−4i0000000000000000000000000000000000
χ556-2−2+4i−2−4i2200-622−4i2+4i-2-200000000006-2−2+4i−2−4i2200-622−4i2+4i-2-20000000000000000000000000000000000
χ566-2−2−4i−2+4i2200-622+4i2−4i-2-200000000006-2−2−4i−2+4i2200-622+4i2−4i-2-20000000000000000000000000000000000
χ5722222222-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-111111111i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30000000000000000
χ58222222−1−i3−1+i3-2-2-2-2-2-21+i31−i300000000-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32i3i3i3i3i3i33−i32−3−i32−i3−i3−i3−i3−i3−i3−3+i323+i320000000000000000
χ59222222−1+i3−1−i3-2-2-2-2-2-21−i31+i300000000-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32i3i3i3i3i3i3−3−i323−i32−i3−i3−i3−i3−i3−i33+i32−3+i320000000000000000
χ6066-2-2-2-200-6-622220000000000-3-311110033-1-1-1-1003i33i3−i3−i3−i3−i300−3i3−3i3i3i3i3i3000000000000000000
χ616-222−2+4i−2−4i00-62-2-22−4i2+4i0000000000-31-1-11−2i1+2i003-111−1+2i−1−2i003i3−i3i3i3−ζ2+2ζ7+ζ10−2ζ11−ζ2−2ζ7+ζ10+2ζ1100−3i3i3−i3−i3ζ2−2ζ7−ζ10+2ζ11ζ2+2ζ7−ζ10−2ζ11000000000000000000
χ626-222−2−4i−2+4i00-62-2-22+4i2−4i0000000000-31-1-11+2i1−2i003-111−1−2i−1+2i003i3−i3i3i3−ζ2−2ζ7+ζ10+2ζ11−ζ2+2ζ7+ζ10−2ζ1100−3i3i3−i3−i3ζ2+2ζ7−ζ10−2ζ11ζ2−2ζ7−ζ10+2ζ11000000000000000000
χ636-2−2+4i−2−4i2200-622−4i2+4i-2-20000000000-311−2i1+2i-1-1003-1−1+2i−1−2i11003i3−i3−ζ2+2ζ7+ζ10−2ζ11−ζ2−2ζ7+ζ10+2ζ11i3i300−3i3i3ζ2−2ζ7−ζ10+2ζ11ζ2+2ζ7−ζ10−2ζ11−i3−i3000000000000000000
χ646-2−2−4i−2+4i2200-622+4i2−4i-2-20000000000-311+2i1−2i-1-1003-1−1−2i−1+2i11003i3−i3−ζ2−2ζ7+ζ10+2ζ11−ζ2+2ζ7+ζ10−2ζ11i3i300−3i3i3ζ2+2ζ7−ζ10−2ζ11ζ2−2ζ7−ζ10+2ζ11−i3−i3000000000000000000
χ6522222222-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-111111111−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i30000000000000000
χ66222222−1−i3−1+i3-2-2-2-2-2-21+i31−i300000000-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32−i3−i3−i3−i3−i3−i3−3+i323+i32i3i3i3i3i3i33−i32−3−i320000000000000000
χ67222222−1+i3−1−i3-2-2-2-2-2-21−i31+i300000000-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32−i3−i3−i3−i3−i3−i33+i32−3+i32i3i3i3i3i3i3−3−i323−i320000000000000000
χ6866-2-2-2-200-6-622220000000000-3-311110033-1-1-1-100−3i3−3i3i3i3i3i3003i33i3−i3−i3−i3−i3000000000000000000
χ696-222−2+4i−2−4i00-62-2-22−4i2+4i0000000000-31-1-11−2i1+2i003-111−1+2i−1−2i00−3i3i3−i3−i3ζ2−2ζ7−ζ10+2ζ11ζ2+2ζ7−ζ10−2ζ11003i3−i3i3i3−ζ2+2ζ7+ζ10−2ζ11−ζ2−2ζ7+ζ10+2ζ11000000000000000000
χ706-222−2−4i−2+4i00-62-2-22+4i2−4i0000000000-31-1-11+2i1−2i003-111−1−2i−1+2i00−3i3i3−i3−i3ζ2+2ζ7−ζ10−2ζ11ζ2−2ζ7−ζ10+2ζ11003i3−i3i3i3−ζ2−2ζ7+ζ10+2ζ11−ζ2+2ζ7+ζ10−2ζ11000000000000000000
χ716-2−2+4i−2−4i2200-622−4i2+4i-2-20000000000-311−2i1+2i-1-1003-1−1+2i−1−2i1100−3i3i3ζ2−2ζ7−ζ10+2ζ11ζ2+2ζ7−ζ10−2ζ11−i3−i3003i3−i3−ζ2+2ζ7+ζ10−2ζ11−ζ2−2ζ7+ζ10+2ζ11i3i3000000000000000000
χ726-2−2−4i−2+4i2200-622+4i2−4i-2-20000000000-311+2i1−2i-1-1003-1−1−2i−1+2i1100−3i3i3ζ2+2ζ7−ζ10−2ζ11ζ2−2ζ7−ζ10+2ζ11−i3−i3003i3−i3−ζ2−2ζ7+ζ10+2ζ11−ζ2+2ζ7+ζ10−2ζ11i3i3000000000000000000

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