Finite Group Databasebeta

← Group #11921120

Character table — Group #11921120

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1333331616133333161626666632322666663232266666323226666632322666663232618181818189696618181818189696
order12444433224444663612121212334444441212661212121266121212121212121212121212121212122244446622444466
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
χ17111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ18111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−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−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+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
χ2033-1-1-1-10033-1-1-1-10033-1-1-1-100-3-311110033-1-1-1-100-3-3111100-3-311110033-1-1-1-100-3-3111100
χ213-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+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+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i003-111−1−2i−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−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-1003-1−1+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+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-1003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-1003-1−1−2i−1+2i1100-311+2i1−2i-1-100
χ25111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ26111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−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−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+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
χ2833-1-1-1-10033-1-1-1-10033-1-1-1-100-3-311110033-1-1-1-100-3-3111100-3-3111100-3-311110033-1-1-1-100
χ293-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+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+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i003-111−1−2i−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−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-1003-1−1+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+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-1003-1−1−2i−1+2i1100-311+2i1−2i-1-100-311+2i1−2i-1-100-311+2i1−2i-1-1003-1−1−2i−1+2i1100
χ332222222222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ34222222−1−i3−1+i3222222−1−i3−1+i3-1-1-1-1-1-11+i321−i32222222−1−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−i320000000000000000
χ35222222−1+i3−1−i3222222−1+i3−1−i3-1-1-1-1-1-11−i321+i32222222−1+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+i320000000000000000
χ3666-2-2-2-20066-2-2-2-200-3-311110066-2-2-2-200-3-3111100-3-3111100-3-31111000000000000000000
χ376-222−2+4i−2−4i006-222−2+4i−2−4i00-31-1-11−2i1+2i006-222−2+4i−2−4i00-31-1-11−2i1+2i00-31-1-11−2i1+2i00-31-1-11−2i1+2i000000000000000000
χ386-222−2−4i−2+4i006-222−2−4i−2+4i00-31-1-11+2i1−2i006-222−2−4i−2+4i00-31-1-11+2i1−2i00-31-1-11+2i1−2i00-31-1-11+2i1−2i000000000000000000
χ396-2−2+4i−2−4i22006-2−2+4i−2−4i2200-311−2i1+2i-1-1006-2−2+4i−2−4i2200-311−2i1+2i-1-100-311−2i1+2i-1-100-311−2i1+2i-1-1000000000000000000
χ406-2−2−4i−2+4i22006-2−2−4i−2+4i2200-311+2i1−2i-1-1006-2−2−4i−2+4i2200-311+2i1−2i-1-100-311+2i1−2i-1-100-311+2i1−2i-1-1000000000000000000
χ412222222222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000
χ42222222−1−i3−1+i3222222−1−i3−1+i3-1-1-1-1-1-11+i321−i32-2-2-2-2-2-21+i31−i3-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i320000000000000000
χ43222222−1+i3−1−i3222222−1+i3−1−i3-1-1-1-1-1-11−i321+i32-2-2-2-2-2-21−i31+i3-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i320000000000000000
χ4466-2-2-2-20066-2-2-2-200-3-3111100-6-6222200-3-311110033-1-1-1-10033-1-1-1-1000000000000000000
χ456-222−2+4i−2−4i006-222−2+4i−2−4i00-31-1-11−2i1+2i00-62-2-22−4i2+4i00-31-1-11−2i1+2i003-111−1+2i−1−2i003-111−1+2i−1−2i000000000000000000
χ466-222−2−4i−2+4i006-222−2−4i−2+4i00-31-1-11+2i1−2i00-62-2-22+4i2−4i00-31-1-11+2i1−2i003-111−1−2i−1+2i003-111−1−2i−1+2i000000000000000000
χ476-2−2+4i−2−4i22006-2−2+4i−2−4i2200-311−2i1+2i-1-100-622−4i2+4i-2-200-311−2i1+2i-1-1003-1−1+2i−1−2i11003-1−1+2i−1−2i11000000000000000000
χ486-2−2−4i−2+4i22006-2−2−4i−2+4i2200-311+2i1−2i-1-100-622+4i2−4i-2-200-311+2i1−2i-1-1003-1−1−2i−1+2i11003-1−1−2i−1+2i11000000000000000000
χ4922222222-2-2-2-2-2-2-2-22222222200000000-2-2-2-2-2-2-2-200000000000000000000000000000000
χ50222222−1−i3−1+i3-2-2-2-2-2-21+i31−i3222222−1−i3−1+i300000000-2-2-2-2-2-21+i31−i300000000000000000000000000000000
χ51222222−1+i3−1−i3-2-2-2-2-2-21−i31+i3222222−1+i3−1−i300000000-2-2-2-2-2-21−i31+i300000000000000000000000000000000
χ5266-2-2-2-200-6-622220066-2-2-2-20000000000-6-622220000000000000000000000000000000000
χ536-222−2+4i−2−4i00-62-2-22−4i2+4i006-222−2+4i−2−4i0000000000-62-2-22−4i2+4i0000000000000000000000000000000000
χ546-222−2−4i−2+4i00-62-2-22+4i2−4i006-222−2−4i−2+4i0000000000-62-2-22+4i2−4i0000000000000000000000000000000000
χ556-2−2+4i−2−4i2200-622−4i2+4i-2-2006-2−2+4i−2−4i220000000000-622−4i2+4i-2-20000000000000000000000000000000000
χ566-2−2−4i−2+4i2200-622+4i2−4i-2-2006-2−2−4i−2+4i220000000000-622+4i2−4i-2-20000000000000000000000000000000000
χ5722222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000001111111133333333−3−3−3−3−3−3−3−30000000000000000
χ58222222−1−i3−1+i3-2-2-2-2-2-21+i31−i3-1-1-1-1-1-11+i321−i3200000000111111−1−i32−1+i323333332ζ7+ζ11−ζ7−2ζ11−3−3−3−3−3−3−2ζ7−ζ11ζ7+2ζ110000000000000000
χ59222222−1+i3−1−i3-2-2-2-2-2-21−i31+i3-1-1-1-1-1-11−i321+i3200000000111111−1+i32−1−i32333333−ζ7−2ζ112ζ7+ζ11−3−3−3−3−3−3ζ7+2ζ11−2ζ7−ζ110000000000000000
χ6066-2-2-2-200-6-6222200-3-31111000000000033-1-1-1-1003333−3−3−3−300−33−333333000000000000000000
χ616-222−2+4i−2−4i00-62-2-22−4i2+4i00-31-1-11−2i1+2i00000000003-111−1+2i−1−2i0033−3332ζ2+ζ7−2ζ10−ζ11−2ζ2+ζ7+2ζ10−ζ1100−333−3−3−2ζ2−ζ7+2ζ10+ζ112ζ2−ζ7−2ζ10+ζ11000000000000000000
χ626-222−2−4i−2+4i00-62-2-22+4i2−4i00-31-1-11+2i1−2i00000000003-111−1−2i−1+2i0033−333−2ζ2+ζ7+2ζ10−ζ112ζ2+ζ7−2ζ10−ζ1100−333−3−32ζ2−ζ7−2ζ10+ζ11−2ζ2−ζ7+2ζ10+ζ11000000000000000000
χ636-2−2+4i−2−4i2200-622−4i2+4i-2-200-311−2i1+2i-1-100000000003-1−1+2i−1−2i110033−32ζ2+ζ7−2ζ10−ζ11−2ζ2+ζ7+2ζ10−ζ113300−333−2ζ2−ζ7+2ζ10+ζ112ζ2−ζ7−2ζ10+ζ11−3−3000000000000000000
χ646-2−2−4i−2+4i2200-622+4i2−4i-2-200-311+2i1−2i-1-100000000003-1−1−2i−1+2i110033−3−2ζ2+ζ7+2ζ10−ζ112ζ2+ζ7−2ζ10−ζ113300−3332ζ2−ζ7−2ζ10+ζ11−2ζ2−ζ7+2ζ10+ζ11−3−3000000000000000000
χ6522222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000000011111111−3−3−3−3−3−3−3−3333333330000000000000000
χ66222222−1−i3−1+i3-2-2-2-2-2-21+i31−i3-1-1-1-1-1-11+i321−i3200000000111111−1−i32−1+i32−3−3−3−3−3−3−2ζ7−ζ11ζ7+2ζ113333332ζ7+ζ11−ζ7−2ζ110000000000000000
χ67222222−1+i3−1−i3-2-2-2-2-2-21−i31+i3-1-1-1-1-1-11−i321+i3200000000111111−1+i32−1−i32−3−3−3−3−3−3ζ7+2ζ11−2ζ7−ζ11333333−ζ7−2ζ112ζ7+ζ110000000000000000
χ6866-2-2-2-200-6-6222200-3-31111000000000033-1-1-1-100−33−333333003333−3−3−3−3000000000000000000
χ696-222−2+4i−2−4i00-62-2-22−4i2+4i00-31-1-11−2i1+2i00000000003-111−1+2i−1−2i00−333−3−3−2ζ2−ζ7+2ζ10+ζ112ζ2−ζ7−2ζ10+ζ110033−3332ζ2+ζ7−2ζ10−ζ11−2ζ2+ζ7+2ζ10−ζ11000000000000000000
χ706-222−2−4i−2+4i00-62-2-22+4i2−4i00-31-1-11+2i1−2i00000000003-111−1−2i−1+2i00−333−3−32ζ2−ζ7−2ζ10+ζ11−2ζ2−ζ7+2ζ10+ζ110033−333−2ζ2+ζ7+2ζ10−ζ112ζ2+ζ7−2ζ10−ζ11000000000000000000
χ716-2−2+4i−2−4i2200-622−4i2+4i-2-200-311−2i1+2i-1-100000000003-1−1+2i−1−2i1100−333−2ζ2−ζ7+2ζ10+ζ112ζ2−ζ7−2ζ10+ζ11−3−30033−32ζ2+ζ7−2ζ10−ζ11−2ζ2+ζ7+2ζ10−ζ1133000000000000000000
χ726-2−2−4i−2+4i2200-622+4i2−4i-2-200-311+2i1−2i-1-100000000003-1−1−2i−1+2i1100−3332ζ2−ζ7−2ζ10+ζ11−2ζ2−ζ7+2ζ10+ζ11−3−30033−3−2ζ2+ζ7+2ζ10−ζ112ζ2+ζ7−2ζ10−ζ1133000000000000000000

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