Finite Group Databasebeta

← Group #11920936

Character table — Group #11920936

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11222223333336666666666666666666666666663232323232323232323232327272727272727272
order12346121222444444444446612121212121212121212121212121212121233366612121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111-11-1-1111111-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-111-1-1
χ4111-11-1-1111111-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-111
χ52222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ6222-22-2-2222222-222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-111111100000000
χ722-12-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-122-1-1-1-100000000
χ822-12-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-1-122-1-100000000
χ922-12-1-1-12222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-1-1-12200000000
χ1022-1-2-111222222-222-2-2-2-2-1-111-1-1-1-1-1-1-1-1111111112-1-12-1-1-2-2111100000000
χ1122-1-2-111222222-222-2-2-2-2-1-111-1-1-1-1-1-1-1-111111111-12-1-12-111-2-21100000000
χ1222-1-2-111222222-222-2-2-2-2-1-111-1-1-1-1-1-1-1-111111111-1-12-1-121111-2-200000000
χ132-220-2002-222-2-202-200002-2002222-2-2-2-200000000222-2-2-200000000000000
χ142-220-2002-222-2-202-200002-2002222-2-2-2-200000000-1-1-11113−33−33−300000000
χ152-220-2002-222-2-202-200002-2002222-2-2-2-200000000-1-1-1111−33−33−3300000000
χ162-2-1013−32-222-2-202-20000-113−3-1-1-1-111113333−3−3−3−32-1-1-211003−3−3300000000
χ172-2-1013−32-222-2-202-20000-113−3-1-1-1-111113333−3−3−3−3-12-11-21−33003−300000000
χ182-2-1013−32-222-2-202-20000-113−3-1-1-1-111113333−3−3−3−3-1-1211-23−3−330000000000
χ192-2-101−332-222-2-202-20000-11−33-1-1-1-11111−3−3−3−333332-1-1-21100−333−300000000
χ202-2-101−332-222-2-202-20000-11−33-1-1-1-11111−3−3−3−33333-12-11-213−300−3300000000
χ212-2-101−332-222-2-202-20000-11−33-1-1-1-11111−3−3−3−33333-1-1211-2−333−30000000000
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
χ28333-33-3-333-1-1-1-1-3-1-1111133-3-3-1-1-1-1-1-1-1-1111111110000000000001-11-1-1-111
χ29333-33-3-333-1-1-1-1-3-1-1111133-3-3-1-1-1-1-1-1-1-111111111000000000000-11-1111-1-1
χ30333-33-3-3-1-1−1+2i−1−2i−1+2i−1−2i111-1-11−2i1+2i-1-11111−1+2i−1−2i11−1+2i−1−2i-1-11−2i1+2i-1-11−2i1+2i0000000000001-1-11i−i−ii
χ31333-33-3-3-1-1−1+2i−1−2i−1+2i−1−2i111-1-11−2i1+2i-1-11111−1+2i−1−2i11−1+2i−1−2i-1-11−2i1+2i-1-11−2i1+2i000000000000-111-1−iii−i
χ32333-33-3-3-1-1−1−2i−1+2i−1−2i−1+2i111-1-11+2i1−2i-1-11111−1−2i−1+2i11−1−2i−1+2i-1-11+2i1−2i-1-11+2i1−2i0000000000001-1-11−iii−i
χ33333-33-3-3-1-1−1−2i−1+2i−1−2i−1+2i111-1-11+2i1−2i-1-11111−1−2i−1+2i11−1−2i−1+2i-1-11+2i1−2i-1-11+2i1−2i000000000000-111-1i−i−ii
χ346666666-2-22222-2-2-2-2-222-2-2-2-2-2-222-2-222-2-222-2-22200000000000000000000
χ35666-66-6-6-2-222222-2-222-2-2-2-222-2-222-2-22222-2-222-2-200000000000000000000
χ3666-36-3-3-366-2-2-2-26-2-2-2-2-2-2-3-3-3-3111111111111111100000000000000000000
χ3766-36-3-3-3-2-22222-2-2-2-2-22211111+231−23-1-11+231−23-1-11+231−23-1-11+231−23-1-100000000000000000000
χ3866-36-3-3-3-2-22222-2-2-2-2-22211111−231+23-1-11−231+23-1-11−231+23-1-11−231+23-1-100000000000000000000
χ3966-36-3-3-3-2-2−2+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
χ4066-36-3-3-3-2-2−2−4i−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
χ4166-3-6-33366-2-2-2-2-6-2-22222-3-33311111111-1-1-1-1-1-1-1-100000000000000000000
χ4266-3-6-333-2-222222-2-222-2-211-1-11+231−23-1-11+231−23-1-1−1−23−1+2311−1−23−1+231100000000000000000000
χ4366-3-6-333-2-222222-2-222-2-211-1-11−231+23-1-11−231+23-1-1−1+23−1−2311−1+23−1−231100000000000000000000
χ4466-3-6-333-2-2−2+4i−2−4i−2+4i−2−4i222-2-22−4i2+4i11-1-1-1-11−2i1+2i-1-11−2i1+2i11−1+2i−1−2i11−1+2i−1−2i00000000000000000000
χ4566-3-6-333-2-2−2−4i−2+4i−2−4i−2+4i222-2-22+4i2−4i11-1-1-1-11+2i1−2i-1-11+2i1−2i11−1−2i−1+2i11−1−2i−1+2i00000000000000000000
χ466-660-6006-6-2-2220-2200006-600-2-2-2-222220000000000000000000000000000
χ476-660-600-2222-2-20-224-400-2200-2-22222-2-24-400-440000000000000000000000
χ486-660-600-2222-2-20-22-4400-2200-2-22222-2-2-44004-40000000000000000000000
χ496-660-600-22−2+4i−2−4i2−4i2+4i02-20000-220022−2+4i−2−4i-2-22−4i2+4i0000000000000000000000000000
χ506-660-600-22−2−4i−2+4i2+4i2−4i02-20000-220022−2−4i−2+4i-2-22+4i2−4i0000000000000000000000000000
χ516-6-30333−336-6-2-2220-220000-3333−331111-1-1-1-1−3−3−3−3333300000000000000000000
χ526-6-30333−33-2222-2-20-224-4001-1−331−231+23-1-1−1+23−1−2311−2−32−3332+3−2+3−3−300000000000000000000
χ536-6-30333−33-2222-2-20-22-44001-1−331+231−23-1-1−1−23−1+23112−3−2−333−2+32+3−3−300000000000000000000
χ546-6-30333−33-22−2+4i−2−4i2−4i2+4i02-200001-1−33-1-11−2i1+2i11−1+2i−1−2i332ζ2+ζ7−2ζ10−ζ11−2ζ2+ζ7+2ζ10−ζ11−3−3−2ζ2−ζ7+2ζ10+ζ112ζ2−ζ7−2ζ10+ζ1100000000000000000000
χ556-6-30333−33-22−2−4i−2+4i2+4i2−4i02-200001-1−33-1-11+2i1−2i11−1−2i−1+2i33−2ζ2+ζ7+2ζ10−ζ112ζ2+ζ7−2ζ10−ζ11−3−32ζ2−ζ7−2ζ10+ζ11−2ζ2−ζ7+2ζ10+ζ1100000000000000000000
χ566-6-303−33336-6-2-2220-220000-33−33331111-1-1-1-13333−3−3−3−300000000000000000000
χ576-6-303−3333-2222-2-20-224-4001-13−31+231−23-1-1−1−23−1+2311−2+32+3−3−32−3−2−33300000000000000000000
χ586-6-303−3333-2222-2-20-22-44001-13−31−231+23-1-1−1+23−1−23112+3−2+3−3−3−2−32−33300000000000000000000
χ596-6-303−3333-22−2+4i−2−4i2−4i2+4i02-200001-13−3-1-11−2i1+2i11−1+2i−1−2i−3−3−2ζ2−ζ7+2ζ10+ζ112ζ2−ζ7−2ζ10+ζ11332ζ2+ζ7−2ζ10−ζ11−2ζ2+ζ7+2ζ10−ζ1100000000000000000000
χ606-6-303−3333-22−2−4i−2+4i2+4i2−4i02-200001-13−3-1-11+2i1−2i11−1−2i−1+2i−3−32ζ2−ζ7−2ζ10+ζ11−2ζ2−ζ7+2ζ10+ζ1133−2ζ2+ζ7+2ζ10−ζ112ζ2+ζ7−2ζ10−ζ1100000000000000000000

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