Finite Group Databasebeta

← Group #13164590

Character table — Group #13164590

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11112222222222666666666666121212121212121212121212121212121212121212121212181818182424242424242424242424242424242424242424545454547272727272727272
order124423466612121212224491818183636363633666612121212121218181818181836363636363622446699121218181818181836363636363636362244666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111111111111111−1−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+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ411111111111111111111111111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111-1-1-1-1−1−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−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ511111111111111111111111111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111111111111111−1+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−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ611111111111111111111111111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111-1-1-1-1−1+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+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ71111-11-1-1-1111-1-11-11-11-1-1111-1-1111-1111-11111111-1-1-1111-1-1-11-11-1-1-111-1-1-1-1-1-11111-1-111-1-11-11-11-11-11-11-1
χ81111-11-1-1-1111-1-11-11-11-1-1111-1-1111-1111-11111111-1-1-1111-1-1-1-11-11-1-111-1-1-1-1-1-11111-1-111-1-1-11-11-11-11-11-11
χ91111-11-1-1-1111-1-11-11-11-1-1111-1-1−1−i32−1+i321-1−1−i32−1+i321-1−1−i32−1−i32−1+i32−1+i32111-1-1-1111-1-1-11-11-11+i321−i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ101111-11-1-1-1111-1-11-11-11-1-1111-1-1−1−i32−1+i321-1−1−i32−1+i321-1−1−i32−1−i32−1+i32−1+i32111-1-1-1111-1-1-1-11-111+i321−i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ111111-11-1-1-1111-1-11-11-11-1-1111-1-1−1+i32−1−i321-1−1+i32−1−i321-1−1+i32−1+i32−1−i32−1−i32111-1-1-1111-1-1-11-11-11−i321+i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ121111-11-1-1-1111-1-11-11-11-1-1111-1-1−1+i32−1−i321-1−1+i32−1−i321-1−1+i32−1+i32−1−i32−1−i32111-1-1-1111-1-1-1-11-111−i321+i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ1311-1-111-1111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-1111111-1-1-1-1-1-1-1-1-111-11-11-1-11-11
χ1411-1-111-1111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-111-11111-1-1111111-1-1-1-1-1-1-1-11-1-11-11-111-11-1
χ1511-1-111-1111-1-1-1-1-1-1111111-1-1-1-1−1−i32−1+i32-1-1−1−i32−1+i32111+i321+i321−i321−i32-1-1-1-1-1-11111111-1-11−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-111-1−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ1611-1-111-1111-1-1-1-1-1-1111111-1-1-1-1−1−i32−1+i32-1-1−1−i32−1+i32111+i321+i321−i321−i32-1-1-1-1-1-1111111-111-1−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-1-111+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ1711-1-111-1111-1-1-1-1-1-1111111-1-1-1-1−1+i32−1−i32-1-1−1+i32−1−i32111−i321−i321+i321+i32-1-1-1-1-1-11111111-1-11−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-111-1−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ1811-1-111-1111-1-1-1-1-1-1111111-1-1-1-1−1+i32−1−i32-1-1−1+i32−1−i32111−i321−i321+i321+i32-1-1-1-1-1-1111111-111-1−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-1-111−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ1911-1-1-111-1-11-1-111-111-11-1-11-1-11111-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1
χ2011-1-1-111-1-11-1-111-111-11-1-11-1-11111-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111
χ2111-1-1-111-1-11-1-111-111-11-1-11-1-111−1−i32−1+i32-11−1−i32−1+i321-11+i321+i321−i321−i32-1-1-1111111-1-1-111-1-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ2211-1-1-111-1-11-1-111-111-11-1-11-1-111−1−i32−1+i32-11−1−i32−1+i321-11+i321+i321−i321−i32-1-1-1111111-1-1-1-1-1111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ2311-1-1-111-1-11-1-111-111-11-1-11-1-111−1+i32−1−i32-11−1+i32−1−i321-11−i321−i321+i321+i32-1-1-1111111-1-1-111-1-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ2411-1-1-111-1-11-1-111-111-11-1-11-1-111−1+i32−1−i32-11−1+i32−1−i321-11−i321−i321+i321+i32-1-1-1111111-1-1-1-1-1111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ25222222222222222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ26222222222222222222-1-1-1-1-1-1-1-1−1−i3−1+i322−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1-1-1-10000−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ27222222222222222222-1-1-1-1-1-1-1-1−1+i3−1−i322−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1-1-1-10000−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ282222-22-2-2-2222-2-22-22-2-111-1-1-111222-2222-22222-1-1-1111-1-1-11110000-2-2-1-1-2-21111-1-1-1-111-1-111000000000000
χ292222-22-2-2-2222-2-22-22-2-111-1-1-111−1−i3−1+i32-2−1−i3−1+i32-2−1−i3−1−i3−1+i3−1+i3-1-1-1111-1-1-111100001+i31−i31+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32000000000000
χ302222-22-2-2-2222-2-22-22-2-111-1-1-111−1+i3−1−i32-2−1+i3−1−i32-2−1+i3−1+i3−1−i3−1−i3-1-1-1111-1-1-111100001−i31+i31−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32000000000000
χ3122-2-222-2222-2-2-2-2-2-222-1-1-1-1111122-2-22222-2-2-2-2111111-1-1-1-1-1-1000022-1-1-2-2-1-1-1-1-1-111111111000000000000
χ3222-2-222-2222-2-2-2-2-2-222-1-1-1-11111−1−i3−1+i3-2-2−1−i3−1+i3221+i31+i31−i31−i3111111-1-1-1-1-1-10000−1−i3−1+i31+i321−i321+i31−i31+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ3322-2-222-2222-2-2-2-2-2-222-1-1-1-11111−1+i3−1−i3-2-2−1+i3−1−i3221−i31−i31+i31+i3111111-1-1-1-1-1-10000−1+i3−1−i31−i321+i321−i31+i31−i321−i321+i321+i321−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ3422-2-2-222-2-22-2-222-222-2-111-111-1-122-22222-2-2-2-2-2111-1-1-1-1-1-11110000-2-2-1-1221111-1-111-1-111-1-1000000000000
χ3522-2-2-222-2-22-2-222-222-2-111-111-1-1−1−i3−1+i3-22−1−i3−1+i32-21+i31+i31−i31−i3111-1-1-1-1-1-111100001+i31−i31+i321−i32−1−i3−1+i3−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32000000000000
χ3622-2-2-222-2-22-2-222-222-2-111-111-1-1−1+i3−1−i3-22−1+i3−1−i32-21−i31−i31+i31+i3111-1-1-1-1-1-111100001−i31+i31−i321+i32−1+i3−1−i3−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32000000000000
χ3733333333333333-1-1-1-13333333300-1-100-1-10000-1-1-1-1-1-1-1-1-1-1-1-1333300000000000000000000-1-1-1-100000000
χ3833333333333333-1-1-1-13333333300-1-100-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-300000000000000000000111100000000
χ393333-33-3-3-3333-3-3-11-113-3-3333-3-300-1100-110000-1-1-1111-1-1-11113-33-300000000000000000000-11-1100000000
χ403333-33-3-3-3333-3-3-11-113-3-3333-3-300-1100-110000-1-1-1111-1-1-1111-33-33000000000000000000001-11-100000000
χ4133-3-333-3333-3-3-3-311-1-13333-3-3-3-3001100-1-10000111111-1-1-1-1-1-13-3-33000000000000000000001-1-1100000000
χ4233-3-333-3333-3-3-3-311-1-13333-3-3-3-3001100-1-10000111111-1-1-1-1-1-1-333-300000000000000000000-111-100000000
χ4333-3-3-333-3-33-3-3331-1-113-3-33-3-333001-100-110000111-1-1-1-1-1-111133-3-30000000000000000000011-1-100000000
χ4433-3-3-333-3-33-3-3331-1-113-3-33-3-333001-100-110000111-1-1-1-1-1-1111-3-33300000000000000000000-1-11100000000
χ454-44i−4i04000-44i−4i000000400-44i−4i00-2-20022002i−2i2i−2i000000000000000000-2-2000000222i−2i002i−2i00000000000000
χ464-44i−4i04000-44i−4i000000400-44i−4i001+i31−i300−1−i3−1+i300−2ζ152ζ15−2ζ32ζ30000000000000000001+i31−i3000000−1−i3−1+i3−2ζ152ζ1500−2ζ32ζ300000000000000
χ474-44i−4i04000-44i−4i000000400-44i−4i001−i31+i300−1+i3−1−i300−2ζ32ζ3−2ζ152ζ150000000000000000001−i31+i3000000−1+i3−1−i3−2ζ32ζ300−2ζ152ζ1500000000000000
χ484-44i−4i04000-44i−4i000000-2−2i32i32−2i2i23−23-2-20022002i−2i2i−2i0000000000000000001100−i3i3−i3i3-1-1−ii3−3−ii3−3000000000000
χ494-44i−4i04000-44i−4i000000-2−2i32i32−2i2i23−231+i31−i300−1−i3−1+i300−2ζ152ζ15−2ζ32ζ3000000000000000000−1−i32−1+i3200−3+i323−i323+i32−3−i321+i321−i32ζ15−ζ15−2ζ3−ζ152ζ3+ζ15ζ3−ζ3ζ3+2ζ15−ζ3−2ζ15000000000000
χ504-44i−4i04000-44i−4i000000-2−2i32i32−2i2i23−231−i31+i300−1+i3−1−i300−2ζ32ζ3−2ζ152ζ15000000000000000000−1+i32−1−i32003+i32−3−i32−3+i323−i321−i321+i32ζ3−ζ3ζ3+2ζ15−ζ3−2ζ15ζ15−ζ15−2ζ3−ζ152ζ3+ζ15000000000000
χ514-44i−4i04000-44i−4i000000-22i3−2i32−2i2i−2323-2-20022002i−2i2i−2i0000000000000000001100i3−i3i3−i3-1-1−ii−33−ii−33000000000000
χ524-44i−4i04000-44i−4i000000-22i3−2i32−2i2i−23231+i31−i300−1−i3−1+i300−2ζ152ζ15−2ζ32ζ3000000000000000000−1−i32−1+i32003−i32−3+i32−3−i323+i321+i321−i32ζ15−ζ152ζ3+ζ15−2ζ3−ζ15ζ3−ζ3−ζ3−2ζ15ζ3+2ζ15000000000000
χ534-44i−4i04000-44i−4i000000-22i3−2i32−2i2i−23231−i31+i300−1+i3−1−i300−2ζ32ζ3−2ζ152ζ15000000000000000000−1+i32−1−i3200−3−i323+i323−i32−3+i321−i321+i32ζ3−ζ3−ζ3−2ζ15ζ3+2ζ15ζ15−ζ152ζ3+ζ15−2ζ3−ζ15000000000000
χ544-4−4i4i04000-4−4i4i000000400-4−4i4i00-2-2002200−2i2i−2i2i000000000000000000-2-200000022−2i2i00−2i2i00000000000000
χ554-4−4i4i04000-4−4i4i000000400-4−4i4i001+i31−i300−1−i3−1+i3002ζ15−2ζ152ζ3−2ζ30000000000000000001+i31−i3000000−1−i3−1+i32ζ15−2ζ15002ζ3−2ζ300000000000000
χ564-4−4i4i04000-4−4i4i000000400-4−4i4i001−i31+i300−1+i3−1−i3002ζ3−2ζ32ζ15−2ζ150000000000000000001−i31+i3000000−1+i3−1−i32ζ3−2ζ3002ζ15−2ζ1500000000000000
χ574-4−4i4i04000-4−4i4i000000-2−2i32i322i−2i−2323-2-2002200−2i2i−2i2i0000000000000000001100−i3i3−i3i3-1-1i−i−33i−i−33000000000000
χ584-4−4i4i04000-4−4i4i000000-2−2i32i322i−2i−23231+i31−i300−1−i3−1+i3002ζ15−2ζ152ζ3−2ζ3000000000000000000−1−i32−1+i3200−3+i323−i323+i32−3−i321+i321−i32−ζ15ζ152ζ3+ζ15−2ζ3−ζ15−ζ3ζ3−ζ3−2ζ15ζ3+2ζ15000000000000
χ594-4−4i4i04000-4−4i4i000000-2−2i32i322i−2i−23231−i31+i300−1+i3−1−i3002ζ3−2ζ32ζ15−2ζ15000000000000000000−1+i32−1−i32003+i32−3−i32−3+i323−i321−i321+i32−ζ3ζ3−ζ3−2ζ15ζ3+2ζ15−ζ15ζ152ζ3+ζ15−2ζ3−ζ15000000000000
χ604-4−4i4i04000-4−4i4i000000-22i3−2i322i−2i23−23-2-2002200−2i2i−2i2i0000000000000000001100i3−i3i3−i3-1-1i−i3−3i−i3−3000000000000
χ614-4−4i4i04000-4−4i4i000000-22i3−2i322i−2i23−231+i31−i300−1−i3−1+i3002ζ15−2ζ152ζ3−2ζ3000000000000000000−1−i32−1+i32003−i32−3+i32−3−i323+i321+i321−i32−ζ15ζ15−2ζ3−ζ152ζ3+ζ15−ζ3ζ3ζ3+2ζ15−ζ3−2ζ15000000000000
χ624-4−4i4i04000-4−4i4i000000-22i3−2i322i−2i23−231−i31+i300−1+i3−1−i3002ζ3−2ζ32ζ15−2ζ15000000000000000000−1+i32−1−i3200−3−i323+i323−i32−3+i321−i321+i32−ζ3ζ3ζ3+2ζ15−ζ3−2ζ15−ζ15ζ15−2ζ3−ζ152ζ3+ζ15000000000000
χ6366666666666666-2-2-2-2-3-3-3-3-3-3-3-300-2-200-2-20000111111111111000000000000000000000000000000000000
χ6466666-36-3-3-3-3-3-3-366660000000000-3-300-3-30000000000000000000000000000000000000000000000000000
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χ686666-66-6-6-6666-6-6-22-22-333-3-3-33300-2200-220000111-1-1-1111-1-1-1000000000000000000000000000000000000
χ696666-6-3-633-3-3-3336-66-60000000000-3300-330000000000000000000000000000000000000000000000000000
χ706666-6-3-633-3-3-333-22-2200000000001-1001-100002ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34000000000000000000000000000000000000
χ716666-6-3-633-3-3-333-22-2200000000001-1001-10000−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ34000000000000000000000000000000000000
χ726666-6-3-633-3-3-333-22-2200000000001-1001-100002ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22000000000000000000000000000000000000
χ7366-6-666-6666-6-6-6-622-2-2-3-3-3-33333002200-2-20000-1-1-1-1-1-1111111000000000000000000000000000000000000
χ7466-6-66-3-6-3-3-3333322-2-20000000000-1-100110000−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34000000000000000000000000000000000000
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χ7666-6-66-3-6-3-3-3333322-2-20000000000-1-1001100002ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34000000000000000000000000000000000000
χ7766-6-66-3-6-3-3-33333-6-66600000000003300-3-30000000000000000000000000000000000000000000000000000
χ7866-6-6-666-6-66-6-6662-2-22-333-333-3-3002-200-220000-1-1-1111111-1-1-1000000000000000000000000000000000000
χ7966-6-6-6-3633-333-3-32-2-220000000000-11001-10000−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34000000000000000000000000000000000000
χ8066-6-6-6-3633-333-3-32-2-220000000000-11001-10000−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22000000000000000000000000000000000000
χ8166-6-6-6-3633-333-3-32-2-220000000000-11001-100002ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ34000000000000000000000000000000000000
χ8266-6-6-6-3633-333-3-3-666-600000000003-300-330000000000000000000000000000000000000000000000000000
χ8312-1212i−12i0-60−6i36i36−6i6i63−63000000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212i−12i0-606i3−6i36−6i6i−6363000000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12−12i12i0-60−6i36i366i−6i−6363000000000000000000000000000000000000000000000000000000000000000000000000
χ8612-12−12i12i0-606i3−6i366i−6i63−63000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.