Finite Group Databasebeta

← Group #13135347

Character table — Group #13135347

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size112223333444444666666668888888812121212121212121212121212121224242424242424242424242424242424242424242424363636363636727272727272727272
order122363366224666669991818184461212121212666612121818181818181818181212121218181836363636363636363636363636363644121212122446612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ5111111111-1-111-1-111111111i−i-11ii−i−i-1-1-1-111111-1-1-1-1-1-1ii−i−i-1-1-1111iiiiii−i−i−i−i−i−i111111-1i−i-1-1ii−i−i
χ6111111111-1-111-1-111111111i−i-11ii−i−i-1-1-1-111111-1-1-1-1-1-1ii−i−i-1-1-1111iiiiii−i−i−i−i−i−i-1-1-1-1-1-11−ii11−i−iii
χ7111111111-1-111-1-111111111−ii-11−i−iii-1-1-1-111111-1-1-1-1-1-1−i−iii-1-1-1111−i−i−i−i−i−iiiiiii111111-1−ii-1-1−i−iii
χ8111111111-1-111-1-111111111−ii-11−i−iii-1-1-1-111111-1-1-1-1-1-1−i−iii-1-1-1111−i−i−i−i−i−iiiiiii-1-1-1-1-1-11i−i11ii−i−i
χ911111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ1011111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1-11+i321−i321+i321−i321+i321−i32
χ1111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321-1-1−1−i32−1+i321+i321−i321+i321−i32
χ1211111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1111+i321−i32−1−i32−1+i32−1−i32−1+i32
χ1311111−1−i32−1+i32−1−i32−1+i32-1-111-1-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32i−i-11ii−i−i1+i321−i321+i321−i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32ζ11ζ7−ζ11−ζ7-11+i321−i321−1−i32−1+i32iiζ11ζ11ζ7ζ7−i−i−ζ11−ζ11−ζ7−ζ711−1−i32−1−i32−1+i32−1+i32-1i−i1+i321−i32ζ11ζ7−ζ11−ζ7
χ1411111−1−i32−1+i32−1−i32−1+i32-1-111-1-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32i−i-11ii−i−i1+i321−i321+i321−i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32ζ11ζ7−ζ11−ζ7-11+i321−i321−1−i32−1+i32iiζ11ζ11ζ7ζ7−i−i−ζ11−ζ11−ζ7−ζ7-1-11+i321+i321−i321−i321−ii−1−i32−1+i32−ζ11−ζ7ζ11ζ7
χ1511111−1−i32−1+i32−1−i32−1+i32-1-111-1-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−ii-11−i−iii1+i321−i321+i321−i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−ζ11−ζ7ζ11ζ7-11+i321−i321−1−i32−1+i32−i−i−ζ11−ζ11−ζ7−ζ7iiζ11ζ11ζ7ζ711−1−i32−1−i32−1+i32−1+i32-1−ii1+i321−i32−ζ11−ζ7ζ11ζ7
χ1611111−1−i32−1+i32−1−i32−1+i32-1-111-1-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−ii-11−i−iii1+i321−i321+i321−i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−ζ11−ζ7ζ11ζ7-11+i321−i321−1−i32−1+i32−i−i−ζ11−ζ11−ζ7−ζ7iiζ11ζ11ζ7ζ7-1-11+i321+i321−i321−i321i−i−1−i32−1+i32ζ11ζ7−ζ11−ζ7
χ1711111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ1811111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1-11−i321+i321−i321+i321−i321+i32
χ1911111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321-1-1−1+i32−1−i321−i321+i321−i321+i32
χ2011111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1111−i321+i32−1+i32−1−i32−1+i32−1−i32
χ2111111−1+i32−1−i32−1+i32−1−i32-1-111-1-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32i−i-11ii−i−i1−i321+i321−i321+i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32ζ7ζ11−ζ7−ζ11-11−i321+i321−1+i32−1−i32iiζ7ζ7ζ11ζ11−i−i−ζ7−ζ7−ζ11−ζ1111−1+i32−1+i32−1−i32−1−i32-1i−i1−i321+i32ζ7ζ11−ζ7−ζ11
χ2211111−1+i32−1−i32−1+i32−1−i32-1-111-1-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32i−i-11ii−i−i1−i321+i321−i321+i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32ζ7ζ11−ζ7−ζ11-11−i321+i321−1+i32−1−i32iiζ7ζ7ζ11ζ11−i−i−ζ7−ζ7−ζ11−ζ11-1-11−i321−i321+i321+i321−ii−1+i32−1−i32−ζ7−ζ11ζ7ζ11
χ2311111−1+i32−1−i32−1+i32−1−i32-1-111-1-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−ii-11−i−iii1−i321+i321−i321+i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−ζ7−ζ11ζ7ζ11-11−i321+i321−1+i32−1−i32−i−i−ζ7−ζ7−ζ11−ζ11iiζ7ζ7ζ11ζ1111−1+i32−1+i32−1−i32−1−i32-1−ii1−i321+i32−ζ7−ζ11ζ7ζ11
χ2411111−1+i32−1−i32−1+i32−1−i32-1-111-1-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−ii-11−i−iii1−i321+i321−i321+i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−ζ7−ζ11ζ7ζ11-11−i321+i321−1+i32−1−i32−i−i−ζ7−ζ7−ζ11−ζ11iiζ7ζ7ζ11ζ11-1-11−i321−i321+i321+i321i−i−1+i32−1−i32ζ7ζ11−ζ7−ζ11
χ2522222222222222222-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000
χ2622222222222222222-1-1-1-1-1-1-2-222-2-2-2-2222222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111111111000000000000000
χ272222222222-2-22222222222200-2-2000022-2-2-2-22222222220000-2-2-2-2-2-2000000000000000000000000000
χ282222222222-2-222222-1-1-1-1-1-100-2-2000022-2-2-2-2-1-1-1-1-1-1-1-1-10000111111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000
χ292222222222-2-222222-1-1-1-1-1-100-2-2000022-2-2-2-2-1-1-1-1-1-1-1-1-10000111111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000
χ30222222222-22-22-2-222222222002-20000-2-222-2-2222-2-2-2-2-2-20000222-2-2-2000000000000000000000000000
χ31222222222-22-22-2-222-1-1-1-1-1-1002-20000-2-222-2-2-1-1-11111110000-1-1-11113−33−33−3−33−33−33000000000000000
χ32222222222-22-22-2-222-1-1-1-1-1-1002-20000-2-222-2-2-1-1-11111110000-1-1-1111−33−33−333−33−33−3000000000000000
χ33222222222-2-222-2-222-1-1-1-1-1-12i−2i-222i2i−2i−2i-2-2-2-222-1-1-11111112i2i−2i−2i111-1-1-1−i−i−i−i−i−iiiiiii000000000000000
χ34222222222-2-222-2-222-1-1-1-1-1-1−2i2i-22−2i−2i2i2i-2-2-2-222-1-1-1111111−2i−2i2i2i111-1-1-1iiiiii−i−i−i−i−i−i000000000000000
χ3522222−1−i3−1+i3−1−i3−1+i3222222−1−i3−1+i3-11+i321−i32-11+i321−i3222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32000000000000000
χ3622222−1−i3−1+i3−1−i3−1+i3222222−1−i3−1+i3-11+i321−i32-11+i321−i32-2-222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i321+i31−i31+i31−i3-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000000
χ3722222−1−i3−1+i3−1−i3−1+i32-2-2222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i300-2-20000−1−i3−1+i31+i31−i31+i31−i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i30000-21+i31−i3-21+i31−i3000000000000000000000000000
χ3822222−1−i3−1+i3−1−i3−1+i32-2-2222−1−i3−1+i3-11+i321−i32-11+i321−i3200-2-20000−1−i3−1+i31+i31−i31+i31−i3-11+i321−i32-1-11+i321+i321−i321−i3200001−1−i32−1+i321−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i32−i3i3−3+i323−i323+i32−3−i32000000000000000
χ3922222−1−i3−1+i3−1−i3−1+i32-2-2222−1−i3−1+i3-11+i321−i32-11+i321−i3200-2-20000−1−i3−1+i31+i31−i31+i31−i3-11+i321−i32-1-11+i321+i321−i321−i3200001−1−i32−1+i321−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i32i3−i33−i32−3+i32−3−i323+i32000000000000000
χ4022222−1−i3−1+i3−1−i3−1+i3-22-22-2-2−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3002-200001+i31−i3−1−i3−1+i31+i31−i32−1−i3−1+i3-2-21+i31+i31−i31−i300002−1−i3−1+i3-21+i31−i3000000000000000000000000000
χ4122222−1−i3−1+i3−1−i3−1+i3-22-22-2-2−1−i3−1+i3-11+i321−i32-11+i321−i32002-200001+i31−i3−1−i3−1+i31+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i320000-11+i321−i321−1−i32−1+i323−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000
χ4222222−1−i3−1+i3−1−i3−1+i3-22-22-2-2−1−i3−1+i3-11+i321−i32-11+i321−i32002-200001+i31−i3−1−i3−1+i31+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i320000-11+i321−i321−1−i32−1+i32−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000
χ4322222−1−i3−1+i3−1−i3−1+i3-2-222-2-2−1−i3−1+i3-11+i321−i32-11+i321−i322i−2i-222i2i−2i−2i1+i31−i31+i31−i3−1−i3−1+i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i322ζ112ζ7−2ζ11−2ζ71−1−i32−1+i32-11+i321−i32−i−i−ζ11−ζ11−ζ7−ζ7iiζ11ζ11ζ7ζ7000000000000000
χ4422222−1−i3−1+i3−1−i3−1+i3-2-222-2-2−1−i3−1+i3-11+i321−i32-11+i321−i32−2i2i-22−2i−2i2i2i1+i31−i31+i31−i3−1−i3−1+i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i32−2ζ11−2ζ72ζ112ζ71−1−i32−1+i32-11+i321−i32iiζ11ζ11ζ7ζ7−i−i−ζ11−ζ11−ζ7−ζ7000000000000000
χ4522222−1+i3−1−i3−1+i3−1−i3222222−1+i3−1−i3-11−i321+i32-11−i321+i3222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000000000000
χ4622222−1+i3−1−i3−1+i3−1−i3222222−1+i3−1−i3-11−i321+i32-11−i321+i32-2-222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i321−i31+i31−i31+i3-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000000
χ4722222−1+i3−1−i3−1+i3−1−i32-2-2222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i300-2-20000−1+i3−1−i31−i31+i31−i31+i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i30000-21−i31+i3-21−i31+i3000000000000000000000000000
χ4822222−1+i3−1−i3−1+i3−1−i32-2-2222−1+i3−1−i3-11−i321+i32-11−i321+i3200-2-20000−1+i3−1−i31−i31+i31−i31+i3-11−i321+i32-1-11−i321−i321+i321+i3200001−1+i32−1−i321−1+i32−1−i32−i3i33+i32−3−i32−3+i323−i32−i3i33+i32−3−i32−3+i323−i32000000000000000
χ4922222−1+i3−1−i3−1+i3−1−i32-2-2222−1+i3−1−i3-11−i321+i32-11−i321+i3200-2-20000−1+i3−1−i31−i31+i31−i31+i3-11−i321+i32-1-11−i321−i321+i321+i3200001−1+i32−1−i321−1+i32−1−i32i3−i3−3−i323+i323−i32−3+i32i3−i3−3−i323+i323−i32−3+i32000000000000000
χ5022222−1+i3−1−i3−1+i3−1−i3-22-22-2-2−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3002-200001−i31+i3−1+i3−1−i31−i31+i32−1+i3−1−i3-2-21−i31−i31+i31+i300002−1+i3−1−i3-21−i31+i3000000000000000000000000000
χ5122222−1+i3−1−i3−1+i3−1−i3-22-22-2-2−1+i3−1−i3-11−i321+i32-11−i321+i32002-200001−i31+i3−1+i3−1−i31−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i320000-11−i321+i321−1+i32−1−i323−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000
χ5222222−1+i3−1−i3−1+i3−1−i3-22-22-2-2−1+i3−1−i3-11−i321+i32-11−i321+i32002-200001−i31+i3−1+i3−1−i31−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i320000-11−i321+i321−1+i32−1−i32−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000
χ5322222−1+i3−1−i3−1+i3−1−i3-2-222-2-2−1+i3−1−i3-11−i321+i32-11−i321+i322i−2i-222i2i−2i−2i1−i31+i31−i31+i3−1+i3−1−i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i322ζ72ζ11−2ζ7−2ζ111−1+i32−1−i32-11−i321+i32−i−i−ζ7−ζ7−ζ11−ζ11iiζ7ζ7ζ11ζ11000000000000000
χ5422222−1+i3−1−i3−1+i3−1−i3-2-222-2-2−1+i3−1−i3-11−i321+i32-11−i321+i32−2i2i-22−2i−2i2i2i1−i31+i31−i31+i3−1+i3−1−i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i32−2ζ7−2ζ112ζ72ζ111−1+i32−1−i32-11−i321+i32iiζ7ζ7ζ11ζ11−i−i−ζ7−ζ7−ζ11−ζ11000000000000000
χ5544-4444444000-400-4-444444400000000000000-4-4-40000000000000000000000000000000000000000000
χ5644-4444444000-400-4-4-2-2-2-2-2-200000000000000222−2i32i3−2i32i3−2i32i30000000000000000000000000000000000000
χ5744-4444444000-400-4-4-2-2-2-2-2-2000000000000002222i3−2i32i3−2i32i3−2i30000000000000000000000000000000000000
χ5844-444−2−2i3−2+2i3−2−2i3−2+2i3000-4002+2i32−2i34−2−2i3−2+2i34−2−2i3−2+2i300000000000000-42+2i32−2i30000000000000000000000000000000000000000000
χ5944-444−2−2i3−2+2i3−2−2i3−2+2i3000-4002+2i32−2i3-21+i31−i3-21+i31−i3000000000000002−1−i3−1+i3−2i32i3−3+i33−i33+i3−3−i30000000000000000000000000000000000000
χ6044-444−2−2i3−2+2i3−2−2i3−2+2i3000-4002+2i32−2i3-21+i31−i3-21+i31−i3000000000000002−1−i3−1+i32i3−2i33−i3−3+i3−3−i33+i30000000000000000000000000000000000000
χ6144-444−2+2i3−2−2i3−2+2i3−2−2i3000-4002−2i32+2i34−2+2i3−2−2i34−2+2i3−2−2i300000000000000-42−2i32+2i30000000000000000000000000000000000000000000
χ6244-444−2+2i3−2−2i3−2+2i3−2−2i3000-4002−2i32+2i3-21−i31+i3-21−i31+i3000000000000002−1+i3−1−i3−2i32i33+i3−3−i3−3+i33−i30000000000000000000000000000000000000
χ6344-444−2+2i3−2−2i3−2+2i3−2−2i3000-4002−2i32+2i3-21−i31+i3-21−i31+i3000000000000002−1+i3−1−i32i3−2i3−3−i33+i33−i3−3+i30000000000000000000000000000000000000
χ644-404-444-4-400000000444-4-4-40000000000000000000000000000000000000000000002-22-22-2000000000
χ654-404-444-4-400000000444-4-4-4000000000000000000000000000000000000000000000-22-22-22000000000
χ664-404-4−2−2i3−2+2i32+2i32−2i3000000004−2−2i3−2+2i3-42+2i32−2i30000000000000000000000000000000000000000000002-2−1−i31+i3−1+i31−i3000000000
χ674-404-4−2−2i3−2+2i32+2i32−2i3000000004−2−2i3−2+2i3-42+2i32−2i3000000000000000000000000000000000000000000000-221+i3−1−i31−i3−1+i3000000000
χ684-404-4−2+2i3−2−2i32−2i32+2i3000000004−2+2i3−2−2i3-42−2i32+2i30000000000000000000000000000000000000000000002-2−1+i31−i3−1−i31+i3000000000
χ694-404-4−2+2i3−2−2i32−2i32+2i3000000004−2+2i3−2−2i3-42−2i32+2i3000000000000000000000000000000000000000000000-221−i3−1+i31+i3−1−i3000000000
χ70666-3-30000666-3-3-30000000066-3-3-3-3-3-30000000000000000000000000000000000000000000000000000
χ71666-3-30000666-3-3-300000000-6-6-3-333330000000000000000000000000000000000000000000000000000
χ72666-3-300006-6-6-3-3-3000000000033−3i33i3−3i33i30000000000000000000000000000000000000000000000000000
χ73666-3-300006-6-6-3-3-30000000000333i3−3i33i3−3i30000000000000000000000000000000000000000000000000000
χ74666-3-30000-66-6-3330000000000-3333−33−33330000000000000000000000000000000000000000000000000000
χ75666-3-30000-66-6-3330000000000-33−333333−330000000000000000000000000000000000000000000000000000
χ76666-3-30000-6-66-333000000006i−6i3-3−3i−3i3i3i0000000000000000000000000000000000000000000000000000
χ77666-3-30000-6-66-33300000000−6i6i3-33i3i−3i−3i0000000000000000000000000000000000000000000000000000
χ788-808-888-8-800000000-4-4-4444000000000000000000000000000000000000000000000000000000000000
χ798-808-8−4−4i3−4+4i34+4i34−4i300000000-42+2i32−2i34−2−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000
χ808-808-8−4+4i3−4−4i34−4i34+4i300000000-42−2i32+2i34−2+2i3−2−2i3000000000000000000000000000000000000000000000000000000000000
χ811212-12-6-600000006−6i36i300000000000000000000000000000000000000000000000000000000000000000000
χ821212-12-6-6000000066i3−6i300000000000000000000000000000000000000000000000000000000000000000000
χ8324-240-1212000000000000000000000000000000000000000000000000000000000000000000000000000000

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