Finite Group Databasebeta

← Group #14518123

Character table — Group #14518123

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size12222333666666991818181818181818181818181818242424242424242424727272727272162162162162162162
order1399923369918181866366699181818181818181833399999933999924661212
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000
χ42222222222222222-1-1-1-1-1-122-1-1-1-1-1-1222222222-1-1-1-1-1-1000000
χ52222222222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-122-1-1000000
χ62222222222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-122000000
χ722-1-1-12222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-12-1000000
χ822-1-1-12222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-122-1-1-1-1000000
χ922-1-1-12222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-12000000
χ1022-1-1-12222-1-1-1-1-122-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-1-12000000
χ1122-1-1-12222-1-1-1-1-122-1-1-1-12-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-122-1000000
χ1222-1-1-12222-1-1-1-1-122-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-122-1-1-1000000
χ1322-1-1-12222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-1222222-1-1-1-1-1-1-12-12-1-1000000
χ1422-1-1-12222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-1222-1-1-1222-1-1-1-1-12-1-12000000
χ1522-1-1-12222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-12222-1-1-12-1000000
χ16333333−3+3i32−3−3i323−3+3i32−3−3i32333−3+3i32−3−3i32000000−3+3i32−3−3i3200000000000000000000011−1+i32−1−i32−1+i32−1−i32
χ17333333−3+3i32−3−3i323−3+3i32−3−3i32333−3+3i32−3−3i32000000−3+3i32−3−3i32000000000000000000000-1-11−i321+i321−i321+i32
χ18333333−3−3i32−3+3i323−3−3i32−3+3i32333−3−3i32−3+3i32000000−3−3i32−3+3i3200000000000000000000011−1−i32−1+i32−1−i32−1+i32
χ19333333−3−3i32−3+3i323−3−3i32−3+3i32333−3−3i32−3+3i32000000−3−3i32−3+3i32000000000000000000000-1-11+i321−i321+i321−i32
χ2033333-133-133-1-1-1-1-13-1-1-133-1-1-1-1-1-1-1-10000000000000001-111-1-1
χ2133333-133-133-1-1-1-1-13-1-1-133-1-1-1-1-1-1-1-1000000000000000-11-1-111
χ2233333-1−3+3i32−3−3i32-1−3+3i32−3−3i32-1-1-11−i321+i3202−1+i3−1−i3001−i321+i322−1+i3−1−i32−1+i3−1−i30000000000000001-1−1+i32−1−i321−i321+i32
χ2333333-1−3+3i32−3−3i32-1−3+3i32−3−3i32-1-1-11−i321+i3202−1+i3−1−i3001−i321+i322−1+i3−1−i32−1+i3−1−i3000000000000000-111−i321+i32−1+i32−1−i32
χ2433333-1−3−3i32−3+3i32-1−3−3i32−3+3i32-1-1-11+i321−i3202−1−i3−1+i3001+i321−i322−1−i3−1+i32−1−i3−1+i30000000000000001-1−1−i32−1+i321+i321−i32
χ2533333-1−3−3i32−3+3i32-1−3−3i32−3+3i32-1-1-11+i321−i3202−1−i3−1+i3001+i321−i322−1−i3−1+i32−1−i3−1+i3000000000000000-111+i321−i32−1−i32−1+i32
χ2666666-266-266-2-2-2-2-2-3111-3-3-2-2111111000000000000000000000
χ2766666-2−3+3i3−3−3i3-2−3+3i3−3−3i3-2-2-21−i31+i30-21−i31+i3001−i31+i3-21−i31+i3-21−i31+i3000000000000000000000
χ2866666-2−3−3i3−3+3i3-2−3−3i3−3+3i3-2-2-21+i31−i30-21+i31−i3001+i31−i3-21+i31−i3-21+i31−i3000000000000000000000
χ2966-3-3-36−3+3i3−3−3i363−3i323+3i32-3-3-3−3+3i3−3−3i30000003−3i323+3i32000000000000000000000000000
χ3066-3-3-36−3−3i3−3+3i363+3i323−3i32-3-3-3−3−3i3−3+3i30000003+3i323−3i32000000000000000000000000000
χ3166-3-3-3-266-2-3-3111-2-26-2-2-2-3-311111111000000000000000000000
χ3266-3-3-3-266-2-3-3111-2-2-31116-311-2-2-2111000000000000000000000
χ3366-3-3-3-266-2-3-3111-2-2-3111-3611111-2-2-2000000000000000000000
χ3466-3-3-3-2−3+3i3−3−3i3-23−3i323+3i321111−i31+i304−2+2i3−2−2i300−1+i32−1−i32-21−i31+i3-21−i31+i3000000000000000000000
χ3566-3-3-3-2−3+3i3−3−3i3-23−3i323+3i321111−i31+i30-21−i31+i300−1+i32−1−i324−2+2i3−2−2i3-21−i31+i3000000000000000000000
χ3666-3-3-3-2−3+3i3−3−3i3-23−3i323+3i321111−i31+i30-21−i31+i300−1+i32−1−i32-21−i31+i34−2+2i3−2−2i3000000000000000000000
χ3766-3-3-3-2−3−3i3−3+3i3-23+3i323−3i321111+i31−i304−2−2i3−2+2i300−1−i32−1+i32-21+i31−i3-21+i31−i3000000000000000000000
χ3866-3-3-3-2−3−3i3−3+3i3-23+3i323−3i321111+i31−i30-21+i31−i300−1−i32−1+i324−2−2i3−2+2i3-21+i31−i3000000000000000000000
χ3966-3-3-3-2−3−3i3−3+3i3-23+3i323−3i321111+i31−i30-21+i31−i300−1−i32−1+i32-21+i31−i34−2−2i3−2+2i3000000000000000000000
χ406-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5600-3003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000003-3ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5000000000000
χ416-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5600-3003ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000000000000003-30ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5000000000000
χ426-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ5600-3003ζ+3ζ83ζ2+3ζ73ζ4+3ζ50000000000000000-303−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5000000000000
χ436-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8600-3003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000003-3ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5000000000000
χ446-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8600-3003ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000000000000003-30−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5000000000000
χ456-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ8600-3003ζ2+3ζ73ζ4+3ζ53ζ+3ζ80000000000000000-303ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5000000000000
χ466-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7600-3003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000003-3−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5000000000000
χ476-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7600-3003ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000000000000003-30ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5000000000000
χ486-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ7600-3003ζ4+3ζ53ζ+3ζ83ζ2+3ζ70000000000000000-303ζ−ζ2−ζ4−2ζ5−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5000000000000
χ4918-99ζ+9ζ89ζ2+9ζ79ζ4+9ζ5-600300−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ50000000000000000000000000000000000000
χ5018-99ζ2+9ζ79ζ4+9ζ59ζ+9ζ8-600300−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ80000000000000000000000000000000000000
χ5118-99ζ4+9ζ59ζ+9ζ89ζ2+9ζ7-600300−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ70000000000000000000000000000000000000

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