Finite Group Databasebeta

← Group #14516825

Character table — Group #14516825

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222244666699991212121212121212121218181818181818181818181818183636363654545454545454545454545454545454162162162
order12336636991818336699999181818181844999912121212181818189918181212121236363636363636363636363641212
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1111111-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111-111111-1-11111111111-1-111-1-111-1-1-1-11111-1-1-1
χ411111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32
χ6111111111111−1−i32−1+i32−1−i32−1+i3211111111111-1−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-11+i321−i32
χ7111111111111−1−i32−1+i32−1−i32−1+i321111111111-11−1−i32−1−i32−1+i32−1+i32-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11+i321−i32
χ8111111111111−1−i32−1+i32−1−i32−1+i321111111111-1-1−1−i32−1−i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i32
χ9111111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32
χ10111111111111−1+i32−1−i32−1+i32−1−i3211111111111-1−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-11−i321+i32
χ11111111111111−1+i32−1−i32−1+i32−1−i321111111111-11−1+i32−1+i32−1−i32−1−i32-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11−i321+i32
χ12111111111111−1+i32−1−i32−1+i32−1−i321111111111-1-1−1+i32−1+i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i32
χ13222222222-12-122222-1-1-1-12-1-1-1-1022-12-100222-12-1-1-1-1-1002200-1-10000-1-1-1-1000
χ14222222222-12-122222-1-1-1-12-1-1-1-10-22-12-100-2-22-12-1-1-1-1-100-2-2001100001111000
χ15222222222-12-1−1−i3−1+i3−1−i3−1+i32-1-1-1-12-1-1-1-102−1−i31+i32−1+i31−i320022−1−i31+i32−1+i31−i321+i321−i321+i321−i3200−1−i3−1+i300-1-100001+i321+i321−i321−i32000
χ16222222222-12-1−1−i3−1+i3−1−i3−1+i32-1-1-1-12-1-1-1-10-2−1−i31+i32−1+i31−i3200-2-2−1−i31+i32−1+i31−i321+i321−i321+i321−i32001+i31−i300110000−1−i32−1−i32−1+i32−1+i32000
χ17222222222-12-1−1+i3−1−i3−1+i3−1−i32-1-1-1-12-1-1-1-102−1+i31−i32−1−i31+i320022−1+i31−i32−1−i31+i321−i321+i321−i321+i3200−1+i3−1−i300-1-100001−i321−i321+i321+i32000
χ18222222222-12-1−1+i3−1−i3−1+i3−1−i32-1-1-1-12-1-1-1-10-2−1+i31−i32−1−i31+i3200-2-2−1+i31−i32−1−i31+i321−i321+i321−i321+i32001−i31+i300110000−1+i32−1+i32−1−i32−1−i32000
χ1922222222-12-122222-12-1-1-1-12-1-1-120-12-122200-12-12-1-1-1-12200-1-100-1-1-1-10000000
χ2022222222-12-122222-12-1-1-1-12-1-1-1-20-12-12-2-200-12-12-1-1-1-1-2-200110011110000000
χ2122222222-12-12−1−i3−1+i3−1−i3−1+i3-12-1-1-1-12-1-1-1201+i32−1−i31−i32−1+i322001+i32−1−i31−i32−1+i31+i321−i321+i321−i32−1−i3−1+i300-1-1001+i321+i321−i321−i320000000
χ2222222222-12-12−1−i3−1+i3−1−i3−1+i3-12-1-1-1-12-1-1-1-201+i32−1−i31−i32−1+i3-2-2001+i32−1−i31−i32−1+i31+i321−i321+i321−i321+i31−i3001100−1−i32−1−i32−1+i32−1+i320000000
χ2322222222-12-12−1+i3−1−i3−1+i3−1−i3-12-1-1-1-12-1-1-1201−i32−1+i31+i32−1−i322001−i32−1+i31+i32−1−i31−i321+i321−i321+i32−1+i3−1−i300-1-1001−i321−i321+i321+i320000000
χ2422222222-12-12−1+i3−1−i3−1+i3−1−i3-12-1-1-1-12-1-1-1-201−i32−1+i31+i32−1−i3-2-2001−i32−1+i31+i32−1−i31−i321+i321−i321+i321−i31+i3001100−1+i32−1+i32−1−i32−1−i320000000
χ252-222-2-22-222-2-222-2-222222-2-2-2-2-20022220000-2-2-2-222-2-20000000000000000000
χ262-222-2-22-222-2-2−1−i3−1+i31+i31−i322222-2-2-2-2-200−1−i3−1−i3−1+i3−1+i300001+i31+i31−i31−i3−1−i3−1+i31+i31−i30000000000000000000
χ272-222-2-22-222-2-2−1+i3−1−i31−i31+i322222-2-2-2-2-200−1+i3−1+i3−1−i3−1−i300001−i31−i31+i31+i3−1+i3−1−i31−i31+i30000000000000000000
χ282-222-2-22-22-1-2122-2-22-1-1-1-1-21111002-12-10000-21-21-1-1110000003−300003−33−3000
χ292-222-2-22-22-1-2122-2-22-1-1-1-1-21111002-12-10000-21-21-1-111000000−330000−33−33000
χ302-222-2-22-22-1-21−1−i3−1+i31+i31−i32-1-1-1-1-2111100−1−i31+i32−1+i31−i3200001+i3−1−i321−i3−1+i321+i321−i32−1−i32−1+i320000003−30000−2ζ3−ζ152ζ3+ζ15ζ3+2ζ15−ζ3−2ζ15000
χ312-222-2-22-22-1-21−1−i3−1+i31+i31−i32-1-1-1-1-2111100−1−i31+i32−1+i31−i3200001+i3−1−i321−i3−1+i321+i321−i32−1−i32−1+i32000000−3300002ζ3+ζ15−2ζ3−ζ15−ζ3−2ζ15ζ3+2ζ15000
χ322-222-2-22-22-1-21−1+i3−1−i31−i31+i32-1-1-1-1-2111100−1+i31−i32−1−i31+i3200001−i3−1+i321+i3−1−i321−i321+i32−1+i32−1−i320000003−30000ζ3+2ζ15−ζ3−2ζ15−2ζ3−ζ152ζ3+ζ15000
χ332-222-2-22-22-1-21−1+i3−1−i31−i31+i32-1-1-1-1-2111100−1+i31−i32−1−i31+i3200001−i3−1+i321+i3−1−i321−i321+i32−1+i32−1−i32000000−330000−ζ3−2ζ15ζ3+2ζ152ζ3+ζ15−2ζ3−ζ15000
χ342-222-2-22-2-121-222-2-2-12-1-1-11-211100-12-1200001-21-2-1-11100003−3003−33−30000000
χ352-222-2-22-2-121-222-2-2-12-1-1-11-211100-12-1200001-21-2-1-1110000−3300−33−330000000
χ362-222-2-22-2-121-2−1−i3−1+i31+i31−i3-12-1-1-11-2111001+i32−1−i31−i32−1+i30000−1−i321+i3−1+i321−i31+i321−i32−1−i32−1+i3200003−300−2ζ3−ζ152ζ3+ζ15ζ3+2ζ15−ζ3−2ζ150000000
χ372-222-2-22-2-121-2−1−i3−1+i31+i31−i3-12-1-1-11-2111001+i32−1−i31−i32−1+i30000−1−i321+i3−1+i321−i31+i321−i32−1−i32−1+i320000−33002ζ3+ζ15−2ζ3−ζ15−ζ3−2ζ15ζ3+2ζ150000000
χ382-222-2-22-2-121-2−1+i3−1−i31−i31+i3-12-1-1-11-2111001−i32−1+i31+i32−1−i30000−1+i321−i3−1−i321+i31−i321+i32−1+i32−1−i3200003−300ζ3+2ζ15−ζ3−2ζ15−2ζ3−ζ152ζ3+ζ150000000
χ392-222-2-22-2-121-2−1+i3−1−i31−i31+i3-12-1-1-11-2111001−i32−1+i31+i32−1−i30000−1+i321−i3−1−i321+i31−i321+i32−1+i32−1−i320000−3300−ζ3−2ζ15ζ3+2ζ152ζ3+ζ15−2ζ3−ζ150000000
χ4044444444-2-2-2-24444-2-2111-2-211100-2-2-2-20000-2-2-2-211110000000000000000000
χ4144444444-2-2-2-2−2−2i3−2+2i3−2−2i3−2+2i3-2-2111-2-2111001+i31+i31−i31−i300001+i31+i31−i31−i3−1−i32−1+i32−1−i32−1+i320000000000000000000
χ4244444444-2-2-2-2−2+2i3−2−2i3−2+2i3−2−2i3-2-2111-2-2111001−i31−i31+i31+i300001−i31−i31+i31+i3−1+i32−1−i32−1+i32−1−i320000000000000000000
χ434-444-4-44-4-2-22244-4-4-2-211122-1-1-100-2-2-2-20000222211-1-10000000000000000000
χ444-444-4-44-4-2-222−2−2i3−2+2i32+2i32−2i3-2-211122-1-1-1001+i31+i31−i31−i30000−1−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+2i3-2-211122-1-1-1001−i31−i31+i31+i30000−1+i3−1+i3−1−i3−1−i3−1+i32−1−i321−i321+i320000000000000000000
χ46666-36-3-3-3060600000-30000-3000600000-3-300000000000000000000000000000
χ47666-36-3-3-3060600000-30000-3000-6000003300000000000000000000000000000
χ4866-36-36-3-360600000-30000-3000006000000-3-3000000000000000000000000000
χ4966-36-36-3-360600000-30000-300000-600000033000000000000000000000000000
χ506-66-3-63-33060-600000-30000300000000033−3300000000000000000000000000000
χ516-66-3-63-33060-600000-300003000000000−333300000000000000000000000000000
χ526-6-363-6-3360-600000-30000300000000000033−33000000000000000000000000000
χ536-6-363-6-3360-600000-300003000000000000−3333000000000000000000000000000
χ54121212-612-6-6-60-60-6000003000030000000000000000000000000000000000000000
χ551212-612-612-6-6-60-60000030000300000000000000000000000000000000000000000
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
χ5912-1212-6-126-660-6060000030000-30000000000000000000000000000000000000000
χ6012-12-6126-12-66-6060000030000-300000000000000000000000000000000000000000
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.