Finite Group Databasebeta

← Group #11723052

Character table — Group #11723052

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size133333161626666632323999994848133333161626666632323999994848133333161626666632323999994848
order1244443336121212123322444466361212121233361212121233661212121266361212121233361212121233661212121266
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
χ91111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ10111111−1−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−i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32
χ11111111−1+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+i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32
χ1233-1-1-1-10033-1-1-1-100-3-311110033-1-1-1-10033-1-1-1-100-3-311110033-1-1-1-10033-1-1-1-100-3-3111100
χ133-111−1+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+2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00
χ143-111−1−2i−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+2i1−2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00
χ153-1−1+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-1-1003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100
χ163-1−1−2i−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-1-1003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100
χ1722222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-100000000
χ18222222−1−i3−1+i3-1-1-1-1-1-11+i321−i3200000000222222−1−i3−1+i3-1-1-1-1-1-11+i321−i3200000000222222−1−i3−1+i3-1-1-1-1-1-11+i321−i3200000000
χ19222222−1+i3−1−i3-1-1-1-1-1-11−i321+i3200000000222222−1+i3−1−i3-1-1-1-1-1-11−i321+i3200000000222222−1+i3−1−i3-1-1-1-1-1-11−i321+i3200000000
χ2066-2-2-2-200-3-31111000000000066-2-2-2-200-3-31111000000000066-2-2-2-200-3-311110000000000
χ216-222−2+4i−2−4i00-31-1-11−2i1+2i00000000006-222−2+4i−2−4i00-31-1-11−2i1+2i00000000006-222−2+4i−2−4i00-31-1-11−2i1+2i0000000000
χ226-222−2−4i−2+4i00-31-1-11+2i1−2i00000000006-222−2−4i−2+4i00-31-1-11+2i1−2i00000000006-222−2−4i−2+4i00-31-1-11+2i1−2i0000000000
χ236-2−2+4i−2−4i2200-311−2i1+2i-1-100000000006-2−2+4i−2−4i2200-311−2i1+2i-1-100000000006-2−2+4i−2−4i2200-311−2i1+2i-1-10000000000
χ246-2−2−4i−2+4i2200-311+2i1−2i-1-100000000006-2−2−4i−2+4i2200-311+2i1−2i-1-100000000006-2−2−4i−2+4i2200-311+2i1−2i-1-10000000000
χ25111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ26111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321
χ27111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32
χ2833-1-1-1-10033-1-1-1-10033-1-1-1-100−3+3i32−3+3i321−i321−i321−i321−i3200−3+3i32−3+3i321−i321−i321−i321−i3200−3+3i32−3+3i321−i321−i321−i321−i3200−3−3i32−3−3i321+i321+i321+i321+i3200−3−3i32−3−3i321+i321+i321+i321+i3200−3−3i32−3−3i321+i321+i321+i321+i3200
χ293-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00−3+3i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ1000−3+3i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ1000−3+3i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ1000−3−3i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ1100−3−3i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ1100−3−3i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ1100
χ303-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i00−3+3i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ1000−3+3i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ1000−3+3i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ1000−3−3i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ1100−3−3i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ1100−3−3i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ1100
χ313-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i1100−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i3200−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i3200−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i3200−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i3200−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i3200−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i3200
χ323-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i1100−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i3200−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i3200−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i3200−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i3200−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i3200−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i3200
χ331111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ34111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−i321−i321−i321−i321−i321−i32-11+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i3211+i321+i321+i321+i321+i321+i321−i32-1
χ35111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i3211−i321−i321−i321−i321−i321−i321+i32-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321+i321+i321+i321+i321+i321+i32-11−i32
χ3633-1-1-1-10033-1-1-1-100-3-3111100−3+3i32−3+3i321−i321−i321−i321−i3200−3+3i32−3+3i321−i321−i321−i321−i32003−3i323−3i32−1+i32−1+i32−1+i32−1+i3200−3−3i32−3−3i321+i321+i321+i321+i3200−3−3i32−3−3i321+i321+i321+i321+i32003+3i323+3i32−1−i32−1−i32−1−i32−1−i3200
χ373-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00−3+3i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ1000−3+3i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ10003−3i32−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ1000−3−3i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ1100−3−3i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ11003+3i32−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ1100
χ383-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00−3+3i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ1000−3+3i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ10003−3i32−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ1000−3−3i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ1100−3−3i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ11003+3i32−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ1100
χ393-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i3200−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i32003−3i32−1+i32−2ζ7−ζ102ζ7−ζ101−i321−i3200−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i3200−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i32003+3i32−1−i32−ζ2−2ζ11−ζ2+2ζ111+i321+i3200
χ403-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i3200−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i32003−3i32−1+i322ζ7−ζ10−2ζ7−ζ101−i321−i3200−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i3200−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i32003+3i32−1−i32−ζ2+2ζ11−ζ2−2ζ111+i321+i3200
χ4122222222-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ42222222−1−i3−1+i3-1-1-1-1-1-11+i321−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i32−1−i31−i321−i321−i321−i321−i321−i32-11+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i321+i321+i321+i321+i321+i321+i321−i32-100000000
χ43222222−1+i3−1−i3-1-1-1-1-1-11−i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i321−i321−i321−i321−i321−i321−i321+i32-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i32−1+i31+i321+i321+i321+i321+i321+i32-11−i3200000000
χ4466-2-2-2-200-3-311110000000000−3+3i3−3+3i31−i31−i31−i31−i3003−3i323−3i32−1+i32−1+i32−1+i32−1+i320000000000−3−3i3−3−3i31+i31+i31+i31+i3003+3i323+3i32−1−i32−1−i32−1−i32−1−i320000000000
χ456-222−2+4i−2−4i00-31-1-11−2i1+2i0000000000−3+3i31−i3−1+i3−1+i34ζ7+2ζ10−4ζ7+2ζ10003−3i32−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ100000000000−3−3i31+i3−1−i3−1−i32ζ2+4ζ112ζ2−4ζ11003+3i32−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ110000000000
χ466-222−2−4i−2+4i00-31-1-11+2i1−2i0000000000−3+3i31−i3−1+i3−1+i3−4ζ7+2ζ104ζ7+2ζ10003−3i32−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ100000000000−3−3i31+i3−1−i3−1−i32ζ2−4ζ112ζ2+4ζ11003+3i32−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ110000000000
χ476-2−2+4i−2−4i2200-311−2i1+2i-1-10000000000−3+3i31−i34ζ7+2ζ10−4ζ7+2ζ10−1+i3−1+i3003−3i32−1+i32−2ζ7−ζ102ζ7−ζ101−i321−i320000000000−3−3i31+i32ζ2+4ζ112ζ2−4ζ11−1−i3−1−i3003+3i32−1−i32−ζ2−2ζ11−ζ2+2ζ111+i321+i320000000000
χ486-2−2−4i−2+4i2200-311+2i1−2i-1-10000000000−3+3i31−i3−4ζ7+2ζ104ζ7+2ζ10−1+i3−1+i3003−3i32−1+i322ζ7−ζ10−2ζ7−ζ101−i321−i320000000000−3−3i31+i32ζ2−4ζ112ζ2+4ζ11−1−i3−1−i3003+3i32−1−i32−ζ2+2ζ11−ζ2−2ζ111+i321+i320000000000
χ49111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ50111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32
χ51111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321
χ5233-1-1-1-10033-1-1-1-10033-1-1-1-100−3−3i32−3−3i321+i321+i321+i321+i3200−3−3i32−3−3i321+i321+i321+i321+i3200−3−3i32−3−3i321+i321+i321+i321+i3200−3+3i32−3+3i321−i321−i321−i321−i3200−3+3i32−3+3i321−i321−i321−i321−i3200−3+3i32−3+3i321−i321−i321−i321−i3200
χ533-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00−3−3i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ1100−3−3i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ1100−3−3i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ1100−3+3i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ1000−3+3i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ1000−3+3i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ1000
χ543-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i00−3−3i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ1100−3−3i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ1100−3−3i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ1100−3+3i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ1000−3+3i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ1000−3+3i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ1000
χ553-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i1100−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i3200−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i3200−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i3200−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i3200−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i3200−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i3200
χ563-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i1100−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i3200−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i3200−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i3200−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i3200−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i3200−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i3200
χ571111111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ58111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i3211+i321+i321+i321+i321+i321+i321−i32-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−i321−i321−i321−i321−i321−i32-11+i32
χ59111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321+i321+i321+i321+i321+i321+i32-11−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i3211−i321−i321−i321−i321−i321−i321+i32-1
χ6033-1-1-1-10033-1-1-1-100-3-3111100−3−3i32−3−3i321+i321+i321+i321+i3200−3−3i32−3−3i321+i321+i321+i321+i32003+3i323+3i32−1−i32−1−i32−1−i32−1−i3200−3+3i32−3+3i321−i321−i321−i321−i3200−3+3i32−3+3i321−i321−i321−i321−i32003−3i323−3i32−1+i32−1+i32−1+i32−1+i3200
χ613-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00−3−3i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ1100−3−3i321+i32−1−i32−1−i32ζ2+2ζ11ζ2−2ζ11003+3i32−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ1100−3+3i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ1000−3+3i321−i32−1+i32−1+i322ζ7+ζ10−2ζ7+ζ10003−3i32−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ1000
χ623-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00−3−3i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ1100−3−3i321+i32−1−i32−1−i32ζ2−2ζ11ζ2+2ζ11003+3i32−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ1100−3+3i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ1000−3+3i321−i32−1+i32−1+i32−2ζ7+ζ102ζ7+ζ10003−3i32−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ1000
χ633-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i3200−3−3i321+i32ζ2+2ζ11ζ2−2ζ11−1−i32−1−i32003+3i32−1−i32−ζ2−2ζ11−ζ2+2ζ111+i321+i3200−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i3200−3+3i321−i322ζ7+ζ10−2ζ7+ζ10−1+i32−1+i32003−3i32−1+i32−2ζ7−ζ102ζ7−ζ101−i321−i3200
χ643-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i3200−3−3i321+i32ζ2−2ζ11ζ2+2ζ11−1−i32−1−i32003+3i32−1−i32−ζ2+2ζ11−ζ2−2ζ111+i321+i3200−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i3200−3+3i321−i32−2ζ7+ζ102ζ7+ζ10−1+i32−1+i32003−3i32−1+i322ζ7−ζ10−2ζ7−ζ101−i321−i3200
χ6522222222-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ66222222−1−i3−1+i3-1-1-1-1-1-11+i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i321+i321+i321+i321+i321+i321+i321−i32-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i32−1−i31−i321−i321−i321−i321−i321−i32-11+i3200000000
χ67222222−1+i3−1−i3-1-1-1-1-1-11−i321+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i32−1+i31+i321+i321+i321+i321+i321+i32-11−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i321−i321−i321−i321−i321−i321−i321+i32-100000000
χ6866-2-2-2-200-3-311110000000000−3−3i3−3−3i31+i31+i31+i31+i3003+3i323+3i32−1−i32−1−i32−1−i32−1−i320000000000−3+3i3−3+3i31−i31−i31−i31−i3003−3i323−3i32−1+i32−1+i32−1+i32−1+i320000000000
χ696-222−2+4i−2−4i00-31-1-11−2i1+2i0000000000−3−3i31+i3−1−i3−1−i32ζ2+4ζ112ζ2−4ζ11003+3i32−1−i321+i321+i32−ζ2−2ζ11−ζ2+2ζ110000000000−3+3i31−i3−1+i3−1+i34ζ7+2ζ10−4ζ7+2ζ10003−3i32−1+i321−i321−i32−2ζ7−ζ102ζ7−ζ100000000000
χ706-222−2−4i−2+4i00-31-1-11+2i1−2i0000000000−3−3i31+i3−1−i3−1−i32ζ2−4ζ112ζ2+4ζ11003+3i32−1−i321+i321+i32−ζ2+2ζ11−ζ2−2ζ110000000000−3+3i31−i3−1+i3−1+i3−4ζ7+2ζ104ζ7+2ζ10003−3i32−1+i321−i321−i322ζ7−ζ10−2ζ7−ζ100000000000
χ716-2−2+4i−2−4i2200-311−2i1+2i-1-10000000000−3−3i31+i32ζ2+4ζ112ζ2−4ζ11−1−i3−1−i3003+3i32−1−i32−ζ2−2ζ11−ζ2+2ζ111+i321+i320000000000−3+3i31−i34ζ7+2ζ10−4ζ7+2ζ10−1+i3−1+i3003−3i32−1+i32−2ζ7−ζ102ζ7−ζ101−i321−i320000000000
χ726-2−2−4i−2+4i2200-311+2i1−2i-1-10000000000−3−3i31+i32ζ2−4ζ112ζ2+4ζ11−1−i3−1−i3003+3i32−1−i32−ζ2+2ζ11−ζ2−2ζ111+i321+i320000000000−3+3i31−i3−4ζ7+2ζ104ζ7+2ζ10−1+i3−1+i3003−3i32−1+i322ζ7−ζ10−2ζ7−ζ101−i321−i320000000000

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