Finite Group Databasebeta

← Group #14516824

Character table — Group #14516824

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222244666699991212121212121212121218181818181818181818181818183636363654545454545454545454545454545454162162162
order12336636991818336699999181818181824669999121218181818991818661212181818181818363636363636266
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1111111-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-11-1-111111111111111-1-111-1-1-1-1-1-1111111-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111−1−i32−1+i32−1−i32−1+i3211111111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32
χ6111111111111−1−i32−1+i32−1−i32−1+i3211111111111-111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i32
χ7111111111111−1−i32−1+i32−1−i32−1+i321111111111-11-1-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32
χ8111111111111−1−i32−1+i32−1−i32−1+i321111111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i32
χ9111111111111−1+i32−1−i32−1+i32−1−i3211111111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32
χ10111111111111−1+i32−1−i32−1+i32−1−i3211111111111-111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i32
χ11111111111111−1+i32−1−i32−1+i32−1−i321111111111-11-1-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32
χ12111111111111−1+i32−1−i32−1+i32−1−i321111111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i32
χ13222222222-1-1222222-1-1-1-12-1-1-1-1202222-1-100-1-122-1-1-1-12200-1-1-1-1-1-1000000000
χ14222222222-1-1222222-1-1-1-12-1-1-1-1-20-2-222-1-100-1-122-1-1-1-1-2-200111111000000000
χ15222222222-1-12−1−i3−1+i3−1−i3−1+i32-1-1-1-12-1-1-1-12022−1−i3−1+i31+i321−i32001+i321−i32−1−i3−1+i31+i321−i321+i321−i32−1−i3−1+i300-1-11+i321+i321−i321−i32000000000
χ16222222222-1-12−1−i3−1+i3−1−i3−1+i32-1-1-1-12-1-1-1-1-20-2-2−1−i3−1+i31+i321−i32001+i321−i32−1−i3−1+i31+i321−i321+i321−i321+i31−i30011−1−i32−1−i32−1+i32−1+i32000000000
χ17222222222-1-12−1+i3−1−i3−1+i3−1−i32-1-1-1-12-1-1-1-12022−1+i3−1−i31−i321+i32001−i321+i32−1+i3−1−i31−i321+i321−i321+i32−1+i3−1−i300-1-11−i321−i321+i321+i32000000000
χ18222222222-1-12−1+i3−1−i3−1+i3−1−i32-1-1-1-12-1-1-1-1-20-2-2−1+i3−1−i31−i321+i32001−i321+i32−1+i3−1−i31−i321+i321−i321+i321−i31+i30011−1+i32−1+i32−1−i32−1−i32000000000
χ1922222222-122-12222-12-1-1-1-12-1-1-10200-1-1222222-1-1-1-1-1-10022000000-1-1-1-1-1-1000
χ2022222222-122-12222-12-1-1-1-12-1-1-10-200-1-122-2-222-1-1-1-1-1-100-2-2000000111111000
χ2122222222-122-1−1−i3−1+i3−1−i3−1+i3-12-1-1-1-12-1-1-102001+i321−i32−1−i3−1+i322−1−i3−1+i31+i321−i321+i321−i321+i321−i3200−1−i3−1+i3000000-1-11+i321+i321−i321−i32000
χ2222222222-122-1−1−i3−1+i3−1−i3−1+i3-12-1-1-1-12-1-1-10-2001+i321−i32−1−i3−1+i3-2-2−1−i3−1+i31+i321−i321+i321−i321+i321−i32001+i31−i300000011−1−i32−1−i32−1+i32−1+i32000
χ2322222222-122-1−1+i3−1−i3−1+i3−1−i3-12-1-1-1-12-1-1-102001−i321+i32−1+i3−1−i322−1+i3−1−i31−i321+i321−i321+i321−i321+i3200−1+i3−1−i3000000-1-11−i321−i321+i321+i32000
χ2422222222-122-1−1+i3−1−i3−1+i3−1−i3-12-1-1-1-12-1-1-10-2001−i321+i32−1+i3−1−i3-2-2−1+i3−1−i31−i321+i321−i321+i321−i321+i32001−i31+i300000011−1+i32−1+i32−1−i32−1−i32000
χ252-222-2-22-222-2-222-2-222222-2-2-2-2-20000222200-2-2-2-222-2-20000000000000000000
χ262-222-2-22-222-2-2−1−i3−1+i31+i31−i322222-2-2-2-2-20000−1−i3−1+i3−1−i3−1+i3001+i31−i31+i31−i3−1−i3−1+i31+i31−i30000000000000000000
χ272-222-2-22-222-2-2−1+i3−1−i31−i31+i322222-2-2-2-2-20000−1+i3−1−i3−1+i3−1−i3001−i31+i31−i31+i3−1+i3−1−i31−i31+i30000000000000000000
χ282-222-2-22-22-11-222-2-22-1-1-1-1-21111000022-1-10011-2-2-1-1110000−i3i3−i3i3−i3i3000000000
χ292-222-2-22-22-11-222-2-22-1-1-1-1-21111000022-1-10011-2-2-1-1110000i3−i3i3−i3i3−i3000000000
χ302-222-2-22-22-11-2−1−i3−1+i31+i31−i32-1-1-1-1-211110000−1−i3−1+i31+i321−i3200−1−i32−1+i321+i31−i31+i321−i32−1−i32−1+i320000−i3i3−3+i323−i323+i32−3−i32000000000
χ312-222-2-22-22-11-2−1−i3−1+i31+i31−i32-1-1-1-1-211110000−1−i3−1+i31+i321−i3200−1−i32−1+i321+i31−i31+i321−i32−1−i32−1+i320000i3−i33−i32−3+i32−3−i323+i32000000000
χ322-222-2-22-22-11-2−1+i3−1−i31−i31+i32-1-1-1-1-211110000−1+i3−1−i31−i321+i3200−1+i32−1−i321−i31+i31−i321+i32−1+i32−1−i320000−i3i33+i32−3−i32−3+i323−i32000000000
χ332-222-2-22-22-11-2−1+i3−1−i31−i31+i32-1-1-1-1-211110000−1+i3−1−i31−i321+i3200−1+i32−1−i321−i31+i31−i321+i32−1+i32−1−i320000i3−i3−3−i323+i323−i32−3+i32000000000
χ342-222-2-22-2-12-2122-2-2-12-1-1-11-21110000-1-12200-2-211-1-11100000000003−33−33−3000
χ352-222-2-22-2-12-2122-2-2-12-1-1-11-21110000-1-12200-2-211-1-1110000000000−33−33−33000
χ362-222-2-22-2-12-21−1−i3−1+i31+i31−i3-12-1-1-11-211100001+i321−i32−1−i3−1+i3001+i31−i3−1−i32−1+i321+i321−i32−1−i32−1+i3200000000003−3−2ζ3−ζ152ζ3+ζ15ζ3+2ζ15−ζ3−2ζ15000
χ372-222-2-22-2-12-21−1−i3−1+i31+i31−i3-12-1-1-11-211100001+i321−i32−1−i3−1+i3001+i31−i3−1−i32−1+i321+i321−i32−1−i32−1+i320000000000−332ζ3+ζ15−2ζ3−ζ15−ζ3−2ζ15ζ3+2ζ15000
χ382-222-2-22-2-12-21−1+i3−1−i31−i31+i3-12-1-1-11-211100001−i321+i32−1+i3−1−i3001−i31+i3−1+i32−1−i321−i321+i32−1+i32−1−i3200000000003−3ζ3+2ζ15−ζ3−2ζ15−2ζ3−ζ152ζ3+ζ15000
χ392-222-2-22-2-12-21−1+i3−1−i31−i31+i3-12-1-1-11-211100001−i321+i32−1+i3−1−i3001−i31+i3−1+i32−1−i321−i321+i32−1+i32−1−i320000000000−33−ζ3−2ζ15ζ3+2ζ152ζ3+ζ15−2ζ3−ζ15000
χ4044444444-2-2-2-24444-2-2111-2-21110000-2-2-2-200-2-2-2-211110000000000000000000
χ4144444444-2-2-2-2−2−2i3−2+2i3−2−2i3−2+2i3-2-2111-2-211100001+i31−i31+i31−i3001+i31−i31+i31−i3−1−i32−1+i32−1−i32−1+i320000000000000000000
χ4244444444-2-2-2-2−2+2i3−2−2i3−2+2i3−2−2i3-2-2111-2-211100001−i31+i31−i31+i3001−i31+i31−i31+i3−1+i32−1−i32−1+i32−1−i320000000000000000000
χ434-444-4-44-4-2-22244-4-4-2-211122-1-1-10000-2-2-2-200222211-1-10000000000000000000
χ444-444-4-44-4-2-222−2−2i3−2+2i32+2i32−2i3-2-211122-1-1-100001+i31−i31+i31−i300−1−i3−1+i3−1−i3−1+i3−1−i32−1+i321+i321−i320000000000000000000
χ454-444-4-44-4-2-222−2+2i3−2−2i32−2i32+2i3-2-211122-1-1-100001−i31+i31−i31+i300−1+i3−1−i3−1+i3−1−i3−1+i32−1−i321−i321+i320000000000000000000
χ46666-3-36-3-360060000-30000-3000060-3-3000000000000000000000000000000000
χ47666-3-36-3-360060000-30000-30000-6033000000000000000000000000000000000
χ4866-366-3-3-3066000000-30000-300006000000-3-3000000000000000000000000000
χ4966-366-3-3-3066000000-30000-30000-600000033000000000000000000000000000
χ506-66-33-6-33600-60000-300003000000−3i33i3000000000000000000000000000000000
χ516-66-33-6-33600-60000-3000030000003i3−3i3000000000000000000000000000000000
χ526-6-36-63-3306-6000000-3000030000000000033−33000000000000000000000000000
χ536-6-36-63-3306-6000000-30000300000000000−3333000000000000000000000000000
χ54121212-6-612-6-6-600-6000030000300000000000000000000000000000000000000000
χ551212-61212-6-6-60-6-60000003000030000000000000000000000000000000000000000
χ561212-6-6-6-63300000000003ζ22−3ζ26+3ζ34−3ζ14−3ζ223ζ14+3ζ26−3ζ34003ζ22−3ζ26+3ζ34−3ζ14−3ζ223ζ14+3ζ26−3ζ340000000000000000000000000000000000000
χ571212-6-6-6-6330000000000−3ζ14−3ζ223ζ14+3ζ26−3ζ343ζ22−3ζ26+3ζ3400−3ζ14−3ζ223ζ14+3ζ26−3ζ343ζ22−3ζ26+3ζ340000000000000000000000000000000000000
χ581212-6-6-6-63300000000003ζ14+3ζ26−3ζ343ζ22−3ζ26+3ζ34−3ζ14−3ζ22003ζ14+3ζ26−3ζ343ζ22−3ζ26+3ζ34−3ζ14−3ζ220000000000000000000000000000000000000
χ5912-1212-66-12-66-6006000030000-300000000000000000000000000000000000000000
χ6012-12-612-126-660-6600000030000-30000000000000000000000000000000000000000
χ6112-12-6-6663-300000000003ζ22−3ζ26+3ζ34−3ζ14−3ζ223ζ14+3ζ26−3ζ3400−3ζ22+3ζ26−3ζ343ζ14+3ζ22−3ζ14−3ζ26+3ζ340000000000000000000000000000000000000
χ6212-12-6-6663-30000000000−3ζ14−3ζ223ζ14+3ζ26−3ζ343ζ22−3ζ26+3ζ34003ζ14+3ζ22−3ζ14−3ζ26+3ζ34−3ζ22+3ζ26−3ζ340000000000000000000000000000000000000
χ6312-12-6-6663-300000000003ζ14+3ζ26−3ζ343ζ22−3ζ26+3ζ34−3ζ14−3ζ2200−3ζ14−3ζ26+3ζ34−3ζ22+3ζ26−3ζ343ζ14+3ζ220000000000000000000000000000000000000

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