Finite Group Databasebeta

← Group #14518088

Character table — Group #14518088

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1222236666666999918181818181818181818181818242424242424242424727272727272162162162162162162
order1399923699181818336666699181818181818181833399999933999924661212
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ41111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ51111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ61111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ7222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000
χ82222222222222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321+i321+i32000000
χ92222222222222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321−i321−i32000000
χ1022-1-1-1222-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-12-1000000
χ1122-1-1-1222-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-122-1-1-1-1000000
χ1222-1-1-1222-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-12-12000000
χ1322-1-1-1222-1-1-1-1-1−1+i3−1−i3−1+i3−1−i32−1+i3−1−i31−i321+i32-1-11−i321−i321−i321+i321+i321+i32222-1-1-1-1-1-11−i321+i32−1+i31−i32−1−i31+i32000000
χ1422-1-1-1222-1-1-1-1-1−1+i3−1−i3−1+i3−1−i32−1+i3−1−i31−i321+i32-1-11−i321−i321−i321+i321+i321+i32-1-1-1222-1-1-1−1+i3−1−i31−i321−i321+i321+i32000000
χ1522-1-1-1222-1-1-1-1-1−1+i3−1−i3−1+i3−1−i32−1+i3−1−i31−i321+i32-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-12221−i321+i321−i32−1+i31+i32−1−i3000000
χ1622-1-1-1222-1-1-1-1-1−1−i3−1+i3−1−i3−1+i32−1−i3−1+i31+i321−i32-1-11+i321+i321+i321−i321−i321−i32222-1-1-1-1-1-11+i321−i32−1−i31+i32−1+i31−i32000000
χ1722-1-1-1222-1-1-1-1-1−1−i3−1+i3−1−i3−1+i32−1−i3−1+i31+i321−i32-1-11+i321+i321+i321−i321−i321−i32-1-1-1222-1-1-1−1−i3−1+i31+i321+i321−i321−i32000000
χ1822-1-1-1222-1-1-1-1-1−1−i3−1+i3−1−i3−1+i32−1−i3−1+i31+i321−i32-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-12221+i321−i321+i32−1−i31−i32−1+i3000000
χ1933333-13-133-1-1-133-1-1-1-1-133-1-1-1-1-1-1-1-10000000000000001-111-1-1
χ2033333-13-133-1-1-133-1-1-1-1-133-1-1-1-1-1-1-1-1000000000000000-11-1-111
χ2133333-13-133-1-1-1−3+3i32−3−3i321−i321+i32-11−i321+i32−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i320000000000000001-1−1+i32−1−i321−i321+i32
χ2233333-13-133-1-1-1−3+3i32−3−3i321−i321+i32-11−i321+i32−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32000000000000000-111−i321+i32−1+i32−1−i32
χ2333333-13-133-1-1-1−3−3i32−3+3i321+i321−i32-11+i321−i32−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i320000000000000001-1−1−i32−1+i321+i321−i32
χ2433333-13-133-1-1-1−3−3i32−3+3i321+i321−i32-11+i321−i32−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32000000000000000-111+i321−i32−1−i32−1+i32
χ25666666-36-3-36660000-30000-3-3000000000000000000000000000
χ2666666-2-3-2-3-3-2-2-200441-2-200114-2-24-2-2000000000000000000000
χ2766666-2-3-2-3-3-2-2-200−2+2i3−2−2i311−i31+i30011−2+2i31−i31−i3−2−2i31+i31+i3000000000000000000000
χ2866666-2-3-2-3-3-2-2-200−2−2i3−2+2i311+i31−i30011−2−2i31+i31+i3−2+2i31−i31−i3000000000000000000000
χ2966-3-3-36-366-3-3-3-30000-300006-3000000000000000000000000000
χ3066-3-3-36-36-36-3-3-30000-30000-36000000000000000000000000000
χ3166-3-3-3-26-2-3-311166-2-2-2-2-2-3-311111111000000000000000000000
χ3266-3-3-3-26-2-3-3111−3+3i3−3−3i31−i31+i3-21−i31+i33−3i323+3i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000
χ3366-3-3-3-26-2-3-3111−3−3i3−3+3i31+i31−i3-21+i31−i33+3i323−3i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000
χ3466-3-3-3-2-3-26-311100441-2-200-21-24-2-24-2000000000000000000000
χ3566-3-3-3-2-3-26-311100−2+2i3−2−2i311−i31+i300-211−i3−2+2i31−i31+i3−2−2i31+i3000000000000000000000
χ3666-3-3-3-2-3-26-311100−2−2i3−2+2i311+i31−i300-211+i3−2−2i31+i31−i3−2+2i31−i3000000000000000000000
χ3766-3-3-3-2-3-2-3611100441-2-2001-2-2-24-2-24000000000000000000000
χ3866-3-3-3-2-3-2-3611100−2+2i3−2−2i311−i31+i3001-21−i31−i3−2+2i31+i31+i3−2−2i3000000000000000000000
χ3966-3-3-3-2-3-2-3611100−2−2i3−2+2i311+i31−i3001-21+i31+i3−2−2i31−i31−i3−2+2i3000000000000000000000
χ406-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ560-3003ζ+3ζ83ζ2+3ζ73ζ4+3ζ50000000000000000003-3ζ−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+3ζ560-3003ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000003-30ζ−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+3ζ560-3003ζ+3ζ83ζ2+3ζ73ζ4+3ζ500000000000000000-303−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5000000000000
χ436-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ860-3003ζ2+3ζ73ζ4+3ζ53ζ+3ζ80000000000000000003-3ζ−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+3ζ860-3003ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000003-30−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ52ζ−2ζ2+ζ4−ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ5000000000000
χ456-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ860-3003ζ2+3ζ73ζ4+3ζ53ζ+3ζ800000000000000000-303ζ−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+3ζ760-3003ζ4+3ζ53ζ+3ζ83ζ2+3ζ70000000000000000003-3−2ζ+2ζ2−ζ4+ζ5ζ−ζ2+2ζ4+ζ5ζ−ζ2−ζ4−2ζ5−ζ+ζ2+ζ4+2ζ5−ζ+ζ2−2ζ4−ζ52ζ−2ζ2+ζ4−ζ5000000000000
χ476-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ760-3003ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000003-30ζ−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+3ζ760-3003ζ4+3ζ53ζ+3ζ83ζ2+3ζ700000000000000000-303ζ−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+9ζ5-60300−3ζ−3ζ8−3ζ2−3ζ7−3ζ4−3ζ500000000000000000000000000000000000000
χ5018-99ζ2+9ζ79ζ4+9ζ59ζ+9ζ8-60300−3ζ2−3ζ7−3ζ4−3ζ5−3ζ−3ζ800000000000000000000000000000000000000
χ5118-99ζ4+9ζ59ζ+9ζ89ζ2+9ζ7-60300−3ζ4−3ζ5−3ζ−3ζ8−3ζ2−3ζ700000000000000000000000000000000000000

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