Finite Group Databasebeta

← Group #11721638

Character table — Group #11721638

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size11112222223333333344444444666666666666666612121212121212121212121212121212121212121212181818181818181818181818363636363636
order1222344666336666662266661212333666666666121212126666666666666666121212121212444412121212121212124412121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ61111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32
χ71111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ81111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ91111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ101111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32
χ111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ121111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ1311111-1-1111111111111-111-1-1-1-1111111111111-1-1-1-11-11-111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-11-11-1
χ1411111-1-1111111111111-111-1-1-1-1111111111111-1-1-1-11-11-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11-11-11
χ1511111-1-111111111111-11-1-111-1-1111111111111-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-11-11-11
χ1611111-1-111111111111-11-1-111-1-1111111111111-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111-11-11-1
χ1711111-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-111-1-1-1-11−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i32−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i321+i32−1+i321−i32
χ1811111-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-111-1-1-1-11−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i32−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11+i321+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32
χ1911111-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-11-1-111-1-11−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i321+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111+i32−1−i321−i32−1+i32
χ2011111-1-1111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-11-1-111-1-11−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i321+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i32
χ2111111-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-111-1-1-1-11−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i32−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i321−i32−1−i321+i32
χ2211111-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-111-1-1-1-11−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i32−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11−i321−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32
χ2311111-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-11-1-111-1-11−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111−i32−1+i321+i32−1−i32
χ2411111-1-1111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-11-1-111-1-11−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i32
χ2522222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ26222222222222222222-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111111111-1-1-1-1-1-1000000000000000000
χ272222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322222222-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32000000000000000000
χ282222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2-2-2-2-222-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32000000000000000000
χ292222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322222222-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32000000000000000000
χ302222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2-2-2-2-222-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32000000000000000000
χ3122222-2-2222222222222-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-22-2-1-111-1-111-1-111111111000000000000000000
χ3222222-2-222222222222-22-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22-2211-1-111-1-111-1-1111111000000000000000000
χ3322222-2-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i32-222-2-2-2-2-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i321+i31+i31−i31−i3−1−i31+i3−1+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000000000
χ3422222-2-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-22-2-222-2-2-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i321+i31+i31−i31−i31+i3−1−i31−i3−1+i311-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000000000
χ3522222-2-2222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i32-222-2-2-2-2-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i321−i31−i31+i31+i3−1+i31−i3−1−i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000000000
χ3622222-2-2222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-22-2-222-2-2-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i321−i31−i31+i31+i31−i3−1+i31+i3−1−i311-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000000000
χ3722-2-22002-2-2222-22-2-2-2000000002222-22-22-2-2-2-200000000000000000000000000002i−2i002i−2i002i−2i000000
χ3822-2-22002-2-2222-22-2-2-2000000002222-22-22-2-2-2-20000000000000000000000000000−2i2i00−2i2i00−2i2i000000
χ3922-2-22002-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3000000002−1−i3−1+i32-2−1−i31+i3−1+i31−i3-21+i31−i300000000000000000000000000002i−2i002ζ11−2ζ11002ζ7−2ζ7000000
χ4022-2-22002-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3000000002−1−i3−1+i32-2−1−i31+i3−1+i31−i3-21+i31−i30000000000000000000000000000−2i2i00−2ζ112ζ1100−2ζ72ζ7000000
χ4122-2-22002-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3000000002−1+i3−1−i32-2−1+i31−i3−1−i31+i3-21−i31+i300000000000000000000000000002i−2i002ζ7−2ζ7002ζ11−2ζ11000000
χ4222-2-22002-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3000000002−1+i3−1−i32-2−1+i31−i3−1−i31+i3-21−i31+i30000000000000000000000000000−2i2i00−2ζ72ζ700−2ζ112ζ11000000
χ432-22-2200-22-222-22-22-2-200000000222-22-22-22-2-2-2000000000000000000000000002i−2i002i−2i002i−2i00000000
χ442-22-2200-22-222-22-22-2-200000000222-22-22-22-2-2-200000000000000000000000000−2i2i00−2i2i00−2i2i00000000
χ452-22-2200-22-2−1−i3−1+i31+i3−1−i31−i3−1+i31+i31−i3000000002−1−i3−1+i3-221+i3−1−i31−i3−1+i3-21+i31−i3000000000000000000000000002i−2i002ζ11−2ζ11002ζ7−2ζ700000000
χ462-22-2200-22-2−1−i3−1+i31+i3−1−i31−i3−1+i31+i31−i3000000002−1−i3−1+i3-221+i3−1−i31−i3−1+i3-21+i31−i300000000000000000000000000−2i2i00−2ζ112ζ1100−2ζ72ζ700000000
χ472-22-2200-22-2−1+i3−1−i31−i3−1+i31+i3−1−i31−i31+i3000000002−1+i3−1−i3-221−i3−1+i31+i3−1−i3-21−i31+i3000000000000000000000000002i−2i002ζ7−2ζ7002ζ11−2ζ1100000000
χ482-22-2200-22-2−1+i3−1−i31−i3−1+i31+i3−1−i31−i31+i3000000002−1+i3−1−i3-221−i3−1+i31+i3−1−i3-21−i31+i300000000000000000000000000−2i2i00−2ζ72ζ700−2ζ112ζ1100000000
χ492-2-2222-2-2-2222-2-2-2-2220000002-2222-2-2-2-2-2-22222-22-200000000000000002-22-22-2000000000000000000
χ502-2-2222-2-2-2222-2-2-2-2220000002-2-1-1-1111111-1-1-12-22-20000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-11-11-11000000000000000000
χ512-2-2222-2-2-2222-2-2-2-2220000002-2-1-1-1111111-1-1-12-22-20000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-11-11-11000000000000000000
χ522-2-2222-2-2-22−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i30000002-22−1−i3−1+i3-2-21+i31+i31−i31−i32−1−i3−1+i3−1−i31+i3−1+i31−i300000000000000002-2−1−i31+i3−1+i31−i3000000000000000000
χ532-2-2222-2-2-22−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i30000002-2-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32−1−i31+i3−1+i31−i30000−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32-111+i32−1−i321−i32−1+i32000000000000000000
χ542-2-2222-2-2-22−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i30000002-2-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32−1−i31+i3−1+i31−i30000i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32-111+i32−1−i321−i32−1+i32000000000000000000
χ552-2-2222-2-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i30000002-22−1+i3−1−i3-2-21−i31−i31+i31+i32−1+i3−1−i3−1+i31−i3−1−i31+i300000000000000002-2−1+i31−i3−1−i31+i3000000000000000000
χ562-2-2222-2-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i30000002-2-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32−1+i31−i3−1−i31+i30000−i3i3−i3i33+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32-111−i32−1+i321+i32−1−i32000000000000000000
χ572-2-2222-2-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i30000002-2-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32−1+i31−i3−1−i31+i30000i3−i3i3−i3−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i32-111−i32−1+i321+i32−1−i32000000000000000000
χ582-2-222-22-2-2222-2-2-2-222000000-22222-2-2-2-2-2-2222-22-220000000000000000-22-22-22000000000000000000
χ592-2-222-22-2-2222-2-2-2-222000000-22-1-1-1111111-1-1-1-22-220000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i31-11-11-1000000000000000000
χ602-2-222-22-2-2222-2-2-2-222000000-22-1-1-1111111-1-1-1-22-220000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i31-11-11-1000000000000000000
χ612-2-222-22-2-22−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3000000-222−1−i3−1+i3-2-21+i31+i31−i31−i32−1−i3−1+i31+i3−1−i31−i3−1+i30000000000000000-221+i3−1−i31−i3−1+i3000000000000000000
χ622-2-222-22-2-22−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3000000-22-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i3−1−i31−i3−1+i30000−i3i3i3−i3−3+i323−i323−i32−3+i323+i32−3−i32−3−i323+i321-1−1−i321+i32−1+i321−i32000000000000000000
χ632-2-222-22-2-22−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3000000-22-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i3−1−i31−i3−1+i30000i3−i3−i3i33−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i321-1−1−i321+i32−1+i321−i32000000000000000000
χ642-2-222-22-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3000000-222−1+i3−1−i3-2-21−i31−i31+i31+i32−1+i3−1−i31−i3−1+i31+i3−1−i30000000000000000-221−i3−1+i31+i3−1−i3000000000000000000
χ652-2-222-22-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3000000-22-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i3−1+i31+i3−1−i30000−i3i3i3−i33+i32−3−i32−3−i323+i32−3+i323−i323−i32−3+i321-1−1+i321−i32−1−i321+i32000000000000000000
χ662-2-222-22-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3000000-22-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i3−1+i31+i3−1−i30000i3−i3−i3i3−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i321-1−1+i321−i32−1−i321+i32000000000000000000
χ6744-4-44004-4-4444-44-4-4-400000000-2-2-2-22-22-2222200000000000000000000000000000000000000000000
χ6844-4-44004-4-4−2−2i3−2+2i3−2−2i32+2i3−2+2i32−2i32+2i32−2i300000000-21+i31−i3-221+i3−1−i31−i3−1+i32−1−i3−1+i300000000000000000000000000000000000000000000
χ6944-4-44004-4-4−2+2i3−2−2i3−2+2i32−2i3−2−2i32+2i32−2i32+2i300000000-21−i31+i3-221−i3−1+i31+i3−1−i32−1+i3−1−i300000000000000000000000000000000000000000000
χ704-44-4400-44-444-44-44-4-400000000-2-2-22-22-22-222200000000000000000000000000000000000000000000
χ714-44-4400-44-4−2−2i3−2+2i32+2i3−2−2i32−2i3−2+2i32+2i32−2i300000000-21+i31−i32-2−1−i31+i3−1+i31−i32−1−i3−1+i300000000000000000000000000000000000000000000
χ724-44-4400-44-4−2+2i3−2−2i32−2i3−2+2i32+2i3−2−2i32−2i32+2i300000000-21−i31+i32-2−1+i31−i3−1−i31+i32−1+i3−1−i300000000000000000000000000000000000000000000
χ736666-366-3-3-30000000066-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000
χ746666-366-3-3-300000000-6-63333-3-300000000000000000000000000000000000000000000000000000000
χ756666-3-6-6-3-3-3000000006-6-3-3333300000000000000000000000000000000000000000000000000000000
χ766666-3-6-6-3-3-300000000-6633-3-33300000000000000000000000000000000000000000000000000000000
χ776-6-66-36-633-30000000000−3i33i3−3i33i3-3300000000000000000000000000000000000000000000000000000000
χ786-6-66-36-633-300000000003i3−3i33i3−3i3-3300000000000000000000000000000000000000000000000000000000
χ796-6-66-3-6633-30000000000−3i33i33i3−3i33-300000000000000000000000000000000000000000000000000000000
χ806-6-66-3-6633-300000000003i3−3i3−3i33i33-300000000000000000000000000000000000000000000000000000000
χ811212-12-12-600-666000000000000000000000000000000000000000000000000000000000000000000000000
χ8212-1212-12-6006-66000000000000000000000000000000000000000000000000000000000000000000000000

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