Finite Group Databasebeta

← Group #14516474

Character table — Group #14516474

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size12222333666666991818181818181818181818181818242424242424242424727272727272162162162162162162
order13333233336666666699918181818181818181833333333399999924661212
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000
χ4222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1000000
χ5222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1000000
χ6222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000
χ722-1-1-1222-1-12-1-1-122-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5222-1-1-1-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5000000
χ822-1-1-1222-1-12-1-1-122-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5-1-1-1222-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ4+ζ5ζ+ζ8ζ2+ζ7000000
χ922-1-1-1222-1-12-1-1-122-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5-1-1-1-1-1-1222ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ+ζ8000000
χ1022-1-1-1222-1-12-1-1-122-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8222-1-1-1-1-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8000000
χ1122-1-1-1222-1-12-1-1-122-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8-1-1-1222-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ+ζ8ζ2+ζ7ζ4+ζ5000000
χ1222-1-1-1222-1-12-1-1-122-1-1ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8-1-1-1-1-1-1222ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ+ζ8ζ2+ζ7000000
χ1322-1-1-1222-1-12-1-1-122-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7222-1-1-1-1-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ+ζ8ζ2+ζ7000000
χ1422-1-1-1222-1-12-1-1-122-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7-1-1-1222-1-1-1ζ+ζ8ζ2+ζ7ζ4+ζ5ζ2+ζ7ζ4+ζ5ζ+ζ8000000
χ1522-1-1-1222-1-12-1-1-122-1-1ζ4+ζ5ζ+ζ8ζ2+ζ7ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ+ζ8ζ+ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7ζ2+ζ7-1-1-1-1-1-1222ζ2+ζ7ζ4+ζ5ζ+ζ8ζ+ζ8ζ2+ζ7ζ4+ζ5000000
χ16333333−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000011−1+i32−1−i32−1+i32−1−i32
χ17333333−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000-1-11−i321+i321−i321+i32
χ18333333−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000011−1−i32−1+i32−1−i32−1+i32
χ19333333−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000-1-11+i321−i321+i321−i32
χ2033333-13333-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-10000000000000001-111-1-1
χ2133333-13333-1-1-1-1-1-1-1-1333-1-1-1-1-1-1-1-1-1000000000000000-11-1-111
χ2233333-1−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i320002−1+i3−1−i32−1+i3−1−i32−1+i3−1−i30000000000000001-1−1+i32−1−i321−i321+i32
χ2333333-1−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-11−i321+i321−i321+i320002−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000000-111−i321+i32−1+i32−1−i32
χ2433333-1−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i320002−1−i3−1+i32−1−i3−1+i32−1−i3−1+i30000000000000001-1−1−i32−1+i321+i321−i32
χ2533333-1−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-11+i321−i321+i321−i320002−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3000000000000000-111+i321−i32−1−i32−1+i32
χ2666666-26666-2-2-2-2-2-2-2-2-3-3-3111111111000000000000000000000
χ2766666-2−3+3i3−3−3i3−3+3i3−3−3i3-2-2-2-21−i31+i31−i31+i3000-21−i31+i3-21−i31+i3-21−i31+i3000000000000000000000
χ2866666-2−3−3i3−3+3i3−3−3i3−3+3i3-2-2-2-21+i31−i31+i31−i3000-21+i31−i3-21+i31−i3-21+i31−i3000000000000000000000
χ2966-3-3-36−3+3i3−3−3i33−3i323+3i326-3-3-3−3+3i3−3−3i33−3i323+3i32000000000000000000000000000000000
χ3066-3-3-36−3−3i3−3+3i33+3i323−3i326-3-3-3−3−3i3−3+3i33+3i323−3i32000000000000000000000000000000000
χ3166-3-3-3-266-3-3-2111-2-2113ζ+3ζ83ζ2+3ζ73ζ4+3ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5000000000000000000000
χ3266-3-3-3-266-3-3-2111-2-2113ζ2+3ζ73ζ4+3ζ53ζ+3ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8000000000000000000000
χ3366-3-3-3-266-3-3-2111-2-2113ζ4+3ζ53ζ+3ζ83ζ2+3ζ7−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−ζ−ζ8−ζ−ζ8−ζ−ζ8−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7000000000000000000000
χ3466-3-3-3-2−3+3i3−3−3i33−3i323+3i32-21111−i31+i3−1+i32−1−i320002ζ+2ζ82ζ2+2ζ42ζ5+2ζ72ζ2+2ζ72ζ+2ζ52ζ4+2ζ82ζ4+2ζ52ζ7+2ζ82ζ+2ζ2000000000000000000000
χ3566-3-3-3-2−3+3i3−3−3i33−3i323+3i32-21111−i31+i3−1+i32−1−i320002ζ2+2ζ72ζ+2ζ52ζ4+2ζ82ζ4+2ζ52ζ7+2ζ82ζ+2ζ22ζ+2ζ82ζ2+2ζ42ζ5+2ζ7000000000000000000000
χ3666-3-3-3-2−3+3i3−3−3i33−3i323+3i32-21111−i31+i3−1+i32−1−i320002ζ4+2ζ52ζ7+2ζ82ζ+2ζ22ζ+2ζ82ζ2+2ζ42ζ5+2ζ72ζ2+2ζ72ζ+2ζ52ζ4+2ζ8000000000000000000000
χ3766-3-3-3-2−3−3i3−3+3i33+3i323−3i32-21111+i31−i3−1−i32−1+i320002ζ+2ζ82ζ5+2ζ72ζ2+2ζ42ζ2+2ζ72ζ4+2ζ82ζ+2ζ52ζ4+2ζ52ζ+2ζ22ζ7+2ζ8000000000000000000000
χ3866-3-3-3-2−3−3i3−3+3i33+3i323−3i32-21111+i31−i3−1−i32−1+i320002ζ2+2ζ72ζ4+2ζ82ζ+2ζ52ζ4+2ζ52ζ+2ζ22ζ7+2ζ82ζ+2ζ82ζ5+2ζ72ζ2+2ζ4000000000000000000000
χ3966-3-3-3-2−3−3i3−3+3i33+3i323−3i32-21111+i31−i3−1−i32−1+i320002ζ4+2ζ52ζ+2ζ22ζ7+2ζ82ζ+2ζ82ζ5+2ζ72ζ2+2ζ42ζ2+2ζ72ζ4+2ζ82ζ+2ζ5000000000000000000000
χ406-36-3-360000-36-3-3000000000000000003-303-303-3000000000000
χ416-36-3-360000-36-3-300000000000000003-303-303-30000000000000
χ426-36-3-360000-36-3-30000000000000000-303-303-303000000000000
χ436-3-36-360000-3-36-3000000000000000003-33-30-303000000000000
χ446-3-36-360000-3-36-300000000000000003-30-30303-3000000000000
χ456-3-36-360000-3-36-30000000000000000-30303-33-30000000000000
χ466-3-3-3660000-3-3-36000000000000000003-3-3033-30000000000000
χ476-3-3-3660000-3-3-3600000000000000003-3003-3-303000000000000
χ486-3-3-3660000-3-3-360000000000000000-3033-3003-3000000000000
χ4918-918-9-9-600003-6330000000000000000000000000000000000000
χ5018-9-918-9-6000033-630000000000000000000000000000000000000
χ5118-9-9-918-60000333-60000000000000000000000000000000000000

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