Finite Group Databasebeta

← Group #11921004

Character table — Group #11921004

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11222223333336666666666666666666666666663232323232323232323232327272727272727272
order1223666224444244444466661212121212121212121212121212121233366666666624448888
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311-111-1-1111111-111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1
χ411-111-1-1111111-111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-111
χ52222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ6222-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-122-1-1-1-100000000
χ7222-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-1-122-1-100000000
χ8222-1-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-1-1-12200000000
χ922-222-2-2222222-222-2-2-2-22-2-2222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-111111100000000
χ1022-2-1-111222222-222-2-2-2-2-111-1-1-1-1-1-1-1-1-1111111112-1-12-1-1-2-2111100000000
χ1122-2-1-111222222-222-2-2-2-2-111-1-1-1-1-1-1-1-1-111111111-12-1-12-111-2-21100000000
χ1222-2-1-111222222-222-2-2-2-2-111-1-1-1-1-1-1-1-1-111111111-1-12-1-121111-2-200000000
χ132-202-200-2222-2-202-20000-20022222-2-2-2-200000000222-2-2-200000000000000
χ142-202-200-2222-2-202-20000-20022222-2-2-2-200000000-1-1-1111−i3i3−i3i3−i3i300000000
χ152-202-200-2222-2-202-20000-20022222-2-2-2-200000000-1-1-1111i3−i3i3−i3i3−i300000000
χ162-20-11−i3i3-2222-2-202-200001−i3i3-1-1-1-1-11111−i3−i3−i3−i3i3i3i3i32-1-1-21100−i3i3i3−i300000000
χ172-20-11−i3i3-2222-2-202-200001−i3i3-1-1-1-1-11111−i3−i3−i3−i3i3i3i3i3-12-11-21i3−i300−i3i300000000
χ182-20-11−i3i3-2222-2-202-200001−i3i3-1-1-1-1-11111−i3−i3−i3−i3i3i3i3i3-1-1211-2−i3i3i3−i30000000000
χ192-20-11i3−i3-2222-2-202-200001i3−i3-1-1-1-1-11111i3i3i3i3−i3−i3−i3−i32-1-1-21100i3−i3−i3i300000000
χ202-20-11i3−i3-2222-2-202-200001i3−i3-1-1-1-1-11111i3i3i3i3−i3−i3−i3−i3-12-11-21−i3i300i3−i300000000
χ212-20-11i3−i3-2222-2-202-200001i3−i3-1-1-1-1-11111i3i3i3i3−i3−i3−i3−i3-1-1211-2i3−i3−i3i30000000000
χ22333333333-1-1-1-13-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000001111-1-1-1-1
χ23333333333-1-1-1-13-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-11111
χ243333333-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i00000000000011-1-1i−ii−i
χ253333333-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i000000000000-1-111−ii−ii
χ263333333-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i00000000000011-1-1−ii−ii
χ273333333-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i000000000000-1-111i−ii−i
χ2833-333-3-333-1-1-1-1-3-1-111113-3-33-1-1-1-1-1-1-1-1111111110000000000001-1-11-1-111
χ2933-333-3-333-1-1-1-1-3-1-111113-3-33-1-1-1-1-1-1-1-111111111000000000000-111-111-1-1
χ3033-333-3-3-1-1−1+2i−1−2i−1+2i−1−2i111-1-11−2i1+2i-111-111−1+2i−1−2i11−1+2i−1−2i-1-11−2i1+2i-1-11−2i1+2i0000000000001-11-1i−i−ii
χ3133-333-3-3-1-1−1+2i−1−2i−1+2i−1−2i111-1-11−2i1+2i-111-111−1+2i−1−2i11−1+2i−1−2i-1-11−2i1+2i-1-11−2i1+2i000000000000-11-11−iii−i
χ3233-333-3-3-1-1−1−2i−1+2i−1−2i−1+2i111-1-11+2i1−2i-111-111−1−2i−1+2i11−1−2i−1+2i-1-11+2i1−2i-1-11+2i1−2i0000000000001-11-1−iii−i
χ3333-333-3-3-1-1−1−2i−1+2i−1−2i−1+2i111-1-11+2i1−2i-111-111−1−2i−1+2i11−1−2i−1+2i-1-11+2i1−2i-1-11+2i1−2i000000000000-11-11i−i−ii
χ346666666-2-22222-2-2-2-2-222-2-2-2-2-2-222-2-222-2-222-2-22200000000000000000000
χ35666-3-3-3-366-2-2-2-26-2-2-2-2-2-2-3-3-3-3111111111111111100000000000000000000
χ36666-3-3-3-3-2-22222-2-2-2-2-22211111+231−23-1-11+231−23-1-11+231−23-1-11+231−23-1-100000000000000000000
χ37666-3-3-3-3-2-22222-2-2-2-2-22211111−231+23-1-11−231+23-1-11−231+23-1-11−231+23-1-100000000000000000000
χ38666-3-3-3-3-2-2−2+4i−2−4i−2+4i−2−4i-22222−2+4i−2−4i1111-1-11−2i1+2i-1-11−2i1+2i-1-11−2i1+2i-1-11−2i1+2i00000000000000000000
χ39666-3-3-3-3-2-2−2−4i−2+4i−2−4i−2+4i-22222−2−4i−2+4i1111-1-11+2i1−2i-1-11+2i1−2i-1-11+2i1−2i-1-11+2i1−2i00000000000000000000
χ4066-666-6-6-2-222222-2-222-2-2-222-2-2-222-2-22222-2-222-2-200000000000000000000
χ4166-6-3-33366-2-2-2-2-6-2-22222-333-311111111-1-1-1-1-1-1-1-100000000000000000000
χ4266-6-3-333-2-222222-2-222-2-21-1-111+231−23-1-11+231−23-1-1−1−23−1+2311−1−23−1+231100000000000000000000
χ4366-6-3-333-2-222222-2-222-2-21-1-111−231+23-1-11−231+23-1-1−1+23−1−2311−1+23−1−231100000000000000000000
χ4466-6-3-333-2-2−2+4i−2−4i−2+4i−2−4i222-2-22−4i2+4i1-1-11-1-11−2i1+2i-1-11−2i1+2i11−1+2i−1−2i11−1+2i−1−2i00000000000000000000
χ4566-6-3-333-2-2−2−4i−2+4i−2−4i−2+4i222-2-22+4i2−4i1-1-11-1-11+2i1−2i-1-11+2i1−2i11−1−2i−1+2i11−1−2i−1+2i00000000000000000000
χ466-606-6002-222-2-20-224i−4i00200-2-2-22222-2-24i−4i00−4i4i0000000000000000000000
χ476-606-6002-222-2-20-22−4i4i00200-2-2-22222-2-2−4i4i004i−4i0000000000000000000000
χ486-606-6002-2−2+4i−2−4i2−4i2+4i02-20000200-222−2+4i−2−4i-2-22−4i2+4i0000000000000000000000000000
χ496-606-6002-2−2−4i−2+4i2+4i2−4i02-20000200-222−2−4i−2+4i-2-22+4i2−4i0000000000000000000000000000
χ506-606-600-66-2-2220-220000-6006-2-2-2-222220000000000000000000000000000
χ516-60-33−3i33i32-222-2-20-224i−4i00-1i3−i311+231−23-1-1−1−23−1+2311ζ2+2ζ7−ζ10+2ζ11ζ2−2ζ7−ζ10−2ζ11−i3−i3−ζ2−2ζ7+ζ10−2ζ11−ζ2+2ζ7+ζ10+2ζ11i3i300000000000000000000
χ526-60-33−3i33i32-222-2-20-22−4i4i00-1i3−i311−231+23-1-1−1+23−1−2311ζ2−2ζ7−ζ10−2ζ11ζ2+2ζ7−ζ10+2ζ11−i3−i3−ζ2+2ζ7+ζ10+2ζ11−ζ2−2ζ7+ζ10−2ζ11i3i300000000000000000000
χ536-60-33−3i33i32-2−2+4i−2−4i2−4i2+4i02-20000-1i3−i31-1-11−2i1+2i11−1+2i−1−2i−i3−i3ζ2−2ζ7−ζ10+2ζ11ζ2+2ζ7−ζ10−2ζ11i3i3−ζ2+2ζ7+ζ10−2ζ11−ζ2−2ζ7+ζ10+2ζ1100000000000000000000
χ546-60-33−3i33i32-2−2−4i−2+4i2+4i2−4i02-20000-1i3−i31-1-11+2i1−2i11−1−2i−1+2i−i3−i3ζ2+2ζ7−ζ10−2ζ11ζ2−2ζ7−ζ10+2ζ11i3i3−ζ2−2ζ7+ζ10+2ζ11−ζ2+2ζ7+ζ10−2ζ1100000000000000000000
χ556-60-33−3i33i3-66-2-2220-2200003−3i33i3-31111-1-1-1-1i3i3i3i3−i3−i3−i3−i300000000000000000000
χ566-60-333i3−3i32-222-2-20-224i−4i00-1−i3i311−231+23-1-1−1+23−1−2311−ζ2+2ζ7+ζ10+2ζ11−ζ2−2ζ7+ζ10−2ζ11i3i3ζ2−2ζ7−ζ10−2ζ11ζ2+2ζ7−ζ10+2ζ11−i3−i300000000000000000000
χ576-60-333i3−3i32-222-2-20-22−4i4i00-1−i3i311+231−23-1-1−1−23−1+2311−ζ2−2ζ7+ζ10−2ζ11−ζ2+2ζ7+ζ10+2ζ11i3i3ζ2+2ζ7−ζ10+2ζ11ζ2−2ζ7−ζ10−2ζ11−i3−i300000000000000000000
χ586-60-333i3−3i32-2−2+4i−2−4i2−4i2+4i02-20000-1−i3i31-1-11−2i1+2i11−1+2i−1−2ii3i3−ζ2+2ζ7+ζ10−2ζ11−ζ2−2ζ7+ζ10+2ζ11−i3−i3ζ2−2ζ7−ζ10+2ζ11ζ2+2ζ7−ζ10−2ζ1100000000000000000000
χ596-60-333i3−3i32-2−2−4i−2+4i2+4i2−4i02-20000-1−i3i31-1-11+2i1−2i11−1−2i−1+2ii3i3−ζ2−2ζ7+ζ10+2ζ11−ζ2+2ζ7+ζ10−2ζ11−i3−i3ζ2+2ζ7−ζ10−2ζ11ζ2−2ζ7−ζ10+2ζ1100000000000000000000
χ606-60-333i3−3i3-66-2-2220-22000033i3−3i3-31111-1-1-1-1−i3−i3−i3−i3i3i3i3i300000000000000000000

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