Finite Group Databasebeta

← Group #13090708

Character table — Group #13090708

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size12222222222222991818181818181818181818181818181818181818181818181818181818181818181818181818243243243
order133333333333333333999999999999999999999999999999999999266
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1
χ3222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000
χ4222222222222222222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000
χ5222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1000
χ6222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222000
χ7222-1-1-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1000
χ8222-1-1-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1000
χ9222-1-1-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222000
χ10222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222000
χ11222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1000
χ12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1222-1-1-1000
χ13222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1000
χ14222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222000
χ15222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1222-1-1-1222-1-1-1-1-1-1000
χ1633333333333333−3+3i32−3−3i32−3+3i32−3−3i320000000000000000000000000000000000001−1+i32−1−i32
χ1733333333333333−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000-11−i321+i32
χ1833333333333333−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000000001−1−i32−1+i32
χ1933333333333333−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000-11+i321−i32
χ20666-3-3-3-3-3-3-3-3-366−3+3i3−3−3i33−3i323+3i32000000000000000000000000000000000000000
χ21666-3-3-3-3-3-3-3-3-366−3−3i3−3+3i33+3i323−3i32000000000000000000000000000000000000000
χ2266-3666-3-3-3-3-3-3-3-30000000000000000000000000000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000
χ2366-3666-3-3-3-3-3-3-3-30000000000000000000000000000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000
χ2466-3666-3-3-3-3-3-3-3-30000000000000000000000000000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000
χ2566-3-3-3-3666-3-3-3-3-30000000000000000000000000000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000
χ2666-3-3-3-3666-3-3-3-3-30000000000000000000000000000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000
χ2766-3-3-3-3666-3-3-3-3-30000000000000000000000000000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000
χ2866-3-3-3-3-3-3-3666-3-30000000000000000000000000000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000
χ2966-3-3-3-3-3-3-3666-3-30000000000000000000000000000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000
χ3066-3-3-3-3-3-3-3666-3-30000000000000000000000000000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000
χ316-366-3-36-3-36-3-3-3-30000000000000000000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000000000000
χ326-366-3-36-3-36-3-3-3-30000000000000000000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000000000000
χ336-366-3-36-3-36-3-3-3-30000000000000000000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000000000000
χ346-36-36-3-36-3-36-3-3-30000000000000000000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000000000000
χ356-36-36-3-36-3-36-3-3-30000000000000000000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000000000000
χ366-36-36-3-36-3-36-3-3-30000000000000000000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000000000000
χ376-36-3-36-3-36-3-36-3-30000000000000000000000ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5000000000000
χ386-36-3-36-3-36-3-36-3-30000000000000000000000ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5000000000000
χ396-36-3-36-3-36-3-36-3-30000000000000000000000−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5000000000000
χ406-3-36-3-3-36-3-3-366-3000003-303-303-3000000000000000000000000000000
χ416-3-36-3-3-36-3-3-366-300003-303-303-30000000000000000000000000000000
χ426-3-36-3-3-36-3-3-366-30000-303-303-303000000000000000000000000000000
χ436-3-36-3-3-3-36-36-3-36000000000000003-303-303-3000000000000000000000
χ446-3-36-3-3-3-36-36-3-3600000000000003-303-303-30000000000000000000000
χ456-3-36-3-3-3-36-36-3-360000000000000-303-303-303000000000000000000000
χ466-3-3-36-36-3-3-3-36-36000000000000003-3-3033-30000000000000000000000
χ476-3-3-36-36-3-3-3-36-3600000000000003-3003-3-303000000000000000000000
χ486-3-3-36-36-3-3-3-36-360000000000000-3033-3003-3000000000000000000000
χ496-3-3-36-3-3-366-3-36-3000003-3-3033-30000000000000000000000000000000
χ506-3-3-36-3-3-366-3-36-300003-3003-3-303000000000000000000000000000000
χ516-3-3-36-3-3-366-3-36-30000-3033-3003-3000000000000000000000000000000
χ526-3-3-3-366-3-3-36-36-3000003-33-30-303000000000000000000000000000000
χ536-3-3-3-366-3-3-36-36-300003-30-30303-3000000000000000000000000000000
χ546-3-3-3-366-3-3-36-36-30000-30303-33-30000000000000000000000000000000
χ556-3-3-3-36-36-36-3-3-36000000000000003-33-30-303000000000000000000000
χ566-3-3-3-36-36-36-3-3-3600000000000003-30-30303-3000000000000000000000
χ576-3-3-3-36-36-36-3-3-360000000000000-30303-33-30000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.