Finite Group Databasebeta

← Group #11772899

Character table — Group #11772899

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112224444888888812121212161616161616164848481122244448888888121212121616161616161648484811222444488888881212121216161616161616484848
order12236444624121212121288886882424242444436636121212661212121212122424242462424242424241212123663612121266121212121212242424246242424242424121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-1-11-1-1111111111111111111111-1-1-1-1-1-11-1-1111111111111111111111-1-1-1-1-1-11-1-1
χ31111111111111111-1-1-1-11111111-1-1-11111111111111111-1-1-1-11111111-1-1-11111111111111111-1-1-1-11111111-1-1-1
χ41111111111111111-1-1-1-11-1-1-1-1-1-1-1111111111111111111-1-1-1-11-1-1-1-1-1-1-1111111111111111111-1-1-1-11-1-1-1-1-1-1-111
χ5111111111-1-1111-1-11111-1i−iii−i−i-1i−i111111111-1-1111-1-11111-1i−iii−i−i-1i−i111111111-1-1111-1-11111-1i−iii−i−i-1i−i
χ6111111111-1-1111-1-11111-1−ii−i−iii-1−ii111111111-1-1111-1-11111-1−ii−i−iii-1−ii111111111-1-1111-1-11111-1−ii−i−iii-1−ii
χ7111111111-1-1111-1-1-1-1-1-1-1i−iii−i−i1−ii111111111-1-1111-1-1-1-1-1-1-1i−iii−i−i1−ii111111111-1-1111-1-1-1-1-1-1-1i−iii−i−i1−ii
χ8111111111-1-1111-1-1-1-1-1-1-1−ii−i−iii1i−i111111111-1-1111-1-1-1-1-1-1-1−ii−i−iii1i−i111111111-1-1111-1-1-1-1-1-1-1−ii−i−iii1i−i
χ922222-2-2222-22-2-2-2-20000200000000022222-2-2222-22-2-2-2-20000200000000022222-2-2222-22-2-2-2-200002000000000
χ1022222-2-222-222-2-2220000-200000000022222-2-222-222-2-2220000-200000000022222-2-222-222-2-2220000-2000000000
χ11222-1-1222-122-1-1-1-1-10000-122-1-1-1-1000222-1-1222-122-1-1-1-1-10000-122-1-1-1-1000222-1-1222-122-1-1-1-1-10000-122-1-1-1-1000
χ12222-1-1222-122-1-1-1-1-10000-1-2-21111000222-1-1222-122-1-1-1-1-10000-1-2-21111000222-1-1222-122-1-1-1-1-10000-1-2-21111000
χ13222-1-1222-1-2-2-1-1-111000012i−2i−i−iii000222-1-1222-1-2-2-1-1-111000012i−2i−i−iii000222-1-1222-1-2-2-1-1-111000012i−2i−i−iii000
χ14222-1-1222-1-2-2-1-1-11100001−2i2iii−i−i000222-1-1222-1-2-2-1-1-11100001−2i2iii−i−i000222-1-1222-1-2-2-1-1-11100001−2i2iii−i−i000
χ15222-1-1-2-22-12-2-111110000-1003−33−3000222-1-1-2-22-12-2-111110000-1003−33−3000222-1-1-2-22-12-2-111110000-1003−33−3000
χ16222-1-1-2-22-12-2-111110000-100−33−33000222-1-1-2-22-12-2-111110000-100−33−33000222-1-1-2-22-12-2-111110000-100−33−33000
χ17222-1-1-2-22-1-22-111-1-10000100−i3i3i3−i3000222-1-1-2-22-1-22-111-1-10000100−i3i3i3−i3000222-1-1-2-22-1-22-111-1-10000100−i3i3i3−i3000
χ18222-1-1-2-22-1-22-111-1-10000100i3−i3−i3i3000222-1-1-2-22-1-22-111-1-10000100i3−i3−i3i3000222-1-1-2-22-1-22-111-1-10000100i3−i3−i3i3000
χ194444400-4400-40000000000000000004444400-4400-40000000000000000004444400-4400-4000000000000000000
χ20444-2-200-4-200200−2i32i300000000000000444-2-200-4-200200−2i32i300000000000000444-2-200-4-200200−2i32i300000000000000
χ21444-2-200-4-2002002i3−2i300000000000000444-2-200-4-2002002i3−2i300000000000000444-2-200-4-2002002i3−2i300000000000000
χ2244-444000-400000002i2i−2i−2i000000000044-444000-400000002i2i−2i−2i000000000044-444000-400000002i2i−2i−2i0000000000
χ2344-444000-40000000−2i−2i2i2i000000000044-444000-40000000−2i−2i2i2i000000000044-444000-40000000−2i−2i2i2i0000000000
χ244-404-42i−2i000002i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000004-404-42i−2i000002i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000004-404-42i−2i000002i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000
χ254-404-42i−2i000002i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000004-404-42i−2i000002i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000004-404-42i−2i000002i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000
χ264-404-4−2i2i00000−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000004-404-4−2i2i00000−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000004-404-4−2i2i00000−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000
χ274-404-4−2i2i00000−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000004-404-4−2i2i00000−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000004-404-4−2i2i00000−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000
χ2888-8-4-4000400000000000000000000088-8-4-4000400000000000000000000088-8-4-40004000000000000000000000
χ298-80-444i−4i00000−2i2i00000000000000008-80-444i−4i00000−2i2i00000000000000008-80-444i−4i00000−2i2i0000000000000000
χ308-80-44−4i4i000002i−2i00000000000000008-80-44−4i4i000002i−2i00000000000000008-80-44−4i4i000002i−2i0000000000000000
χ31111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ32111111111111111111111-1-1-1-1-1-11-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32
χ331111111111111111-1-1-1-11111111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32
χ341111111111111111-1-1-1-11-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ35111111111-1-1111-1-11111-1i−iii−i−i-1i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32ζ22−ζ22
χ36111111111-1-1111-1-11111-1−ii−i−iii-1−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−ζ22ζ22
χ37111111111-1-1111-1-1-1-1-1-1-1i−iii−i−i1−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i32−ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i32−ζ22ζ22
χ38111111111-1-1111-1-1-1-1-1-1-1−ii−i−iii1i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i32ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i32ζ22−ζ22
χ3922222-2-2222-22-2-2-2-200002000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i30000−1+i3000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i30000−1−i3000000000
χ4022222-2-222-222-2-2220000-2000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300001−i3000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300001+i3000000000
χ41222-1-1222-122-1-1-1-1-10000-122-1-1-1-1000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i3200001−i32−1+i3−1+i31−i321−i321−i321−i32000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i3200001+i32−1−i3−1−i31+i321+i321+i321+i32000
χ42222-1-1222-122-1-1-1-1-10000-1-2-21111000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i3200001−i321−i31−i3−1+i32−1+i32−1+i32−1+i32000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i3200001+i321+i31+i3−1−i32−1−i32−1−i32−1−i32000
χ43222-1-1222-1-2-2-1-1-111000012i−2i−i−iii000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i320000−1+i322ζ14−2ζ14−ζ14−ζ14ζ14ζ14000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i320000−1−i322ζ22−2ζ22−ζ22−ζ22ζ22ζ22000
χ44222-1-1222-1-2-2-1-1-11100001−2i2iii−i−i000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i320000−1+i32−2ζ142ζ14ζ14ζ14−ζ14−ζ14000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i320000−1−i32−2ζ222ζ22ζ22ζ22−ζ22−ζ22000
χ45222-1-1-2-22-12-2-111110000-1003−33−3000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i31−i32−1+i31−i31−i32−1+i32−1+i32−1+i32−1+i3200001−i3200−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i31+i32−1−i31+i31+i32−1−i32−1−i32−1−i32−1−i3200001+i32002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22000
χ46222-1-1-2-22-12-2-111110000-100−33−33000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i31−i32−1+i31−i31−i32−1+i32−1+i32−1+i32−1+i3200001−i3200ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i31+i32−1−i31+i31+i32−1−i32−1−i32−1−i32−1−i3200001+i3200−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22000
χ47222-1-1-2-22-1-22-111-1-10000100−i3i3i3−i3000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i31−i321−i3−1+i31−i32−1+i32−1+i321−i321−i320000−1+i32003+i32−3−i32−3−i323+i32000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i31+i321+i3−1−i31+i32−1−i32−1−i321+i321+i320000−1−i3200−3+i323−i323−i32−3+i32000
χ48222-1-1-2-22-1-22-111-1-10000100i3−i3−i3i3000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i31−i321−i3−1+i31−i32−1+i32−1+i321−i321−i320000−1+i3200−3−i323+i323+i32−3−i32000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i31+i321+i3−1−i31+i32−1−i32−1−i321+i321+i320000−1−i32003−i32−3+i32−3+i323−i32000
χ494444400-4400-4000000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3002−2i3−2+2i3002−2i3000000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3002+2i3−2−2i3002+2i3000000000000000000
χ50444-2-200-4-200200−2i32i300000000000000−2+2i3−2+2i3−2+2i31−i31−i3002−2i31−i300−1+i3003+i3−3−i300000000000000−2−2i3−2−2i3−2−2i31+i31+i3002+2i31+i300−1−i300−3+i33−i300000000000000
χ51444-2-200-4-2002002i3−2i300000000000000−2+2i3−2+2i3−2+2i31−i31−i3002−2i31−i300−1+i300−3−i33+i300000000000000−2−2i3−2−2i3−2−2i31+i31+i3002+2i31+i300−1−i3003−i3−3+i300000000000000
χ5244-444000-400000002i2i−2i−2i0000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i30002−2i300000002ζ142ζ14−2ζ14−2ζ140000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i30002+2i300000002ζ222ζ22−2ζ22−2ζ220000000000
χ5344-444000-40000000−2i−2i2i2i0000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i30002−2i30000000−2ζ14−2ζ142ζ142ζ140000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i30002+2i30000000−2ζ22−2ζ222ζ222ζ220000000000
χ544-404-42i−2i000002i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000−2+2i32−2i30−2+2i32−2i32ζ14−2ζ14000002ζ14−2ζ1400−2ζ232ζ232ζ5−2ζ50000000000−2−2i32+2i30−2−2i32+2i32ζ22−2ζ22000002ζ22−2ζ2200−2ζ72ζ72ζ13−2ζ130000000000
χ554-404-42i−2i000002i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000−2+2i32−2i30−2+2i32−2i32ζ14−2ζ14000002ζ14−2ζ14002ζ23−2ζ23−2ζ52ζ50000000000−2−2i32+2i30−2−2i32+2i32ζ22−2ζ22000002ζ22−2ζ22002ζ7−2ζ7−2ζ132ζ130000000000
χ564-404-4−2i2i00000−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000−2+2i32−2i30−2+2i32−2i3−2ζ142ζ1400000−2ζ142ζ14002ζ5−2ζ5−2ζ232ζ230000000000−2−2i32+2i30−2−2i32+2i3−2ζ222ζ2200000−2ζ222ζ22002ζ13−2ζ13−2ζ72ζ70000000000
χ574-404-4−2i2i00000−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000−2+2i32−2i30−2+2i32−2i3−2ζ142ζ1400000−2ζ142ζ1400−2ζ52ζ52ζ23−2ζ230000000000−2−2i32+2i30−2−2i32+2i3−2ζ222ζ2200000−2ζ222ζ2200−2ζ132ζ132ζ7−2ζ70000000000
χ5888-8-4-40004000000000000000000000−4+4i3−4+4i34−4i32−2i32−2i3000−2+2i3000000000000000000000−4−4i3−4−4i34+4i32+2i32+2i3000−2−2i3000000000000000000000
χ598-80-444i−4i00000−2i2i0000000000000000−4+4i34−4i302−2i3−2+2i34ζ14−4ζ1400000−2ζ142ζ140000000000000000−4−4i34+4i302+2i3−2−2i34ζ22−4ζ2200000−2ζ222ζ220000000000000000
χ608-80-44−4i4i000002i−2i0000000000000000−4+4i34−4i302−2i3−2+2i3−4ζ144ζ14000002ζ14−2ζ140000000000000000−4−4i34+4i302+2i3−2−2i3−4ζ224ζ22000002ζ22−2ζ220000000000000000
χ61111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ62111111111111111111111-1-1-1-1-1-11-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32
χ631111111111111111-1-1-1-11111111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ641111111111111111-1-1-1-11-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ65111111111-1-1111-1-11111-1i−iii−i−i-1i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32ζ14−ζ14
χ66111111111-1-1111-1-11111-1−ii−i−iii-1−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−ζ14ζ14
χ67111111111-1-1111-1-1-1-1-1-1-1i−iii−i−i1−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i32−ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i32−ζ14ζ14
χ68111111111-1-1111-1-1-1-1-1-1-1−ii−i−iii1i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i32ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i32ζ14−ζ14
χ6922222-2-2222-22-2-2-2-200002000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i30000−1−i3000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i30000−1+i3000000000
χ7022222-2-222-222-2-2220000-2000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300001+i3000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300001−i3000000000
χ71222-1-1222-122-1-1-1-1-10000-122-1-1-1-1000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i3200001+i32−1−i3−1−i31+i321+i321+i321+i32000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i3200001−i32−1+i3−1+i31−i321−i321−i321−i32000
χ72222-1-1222-122-1-1-1-1-10000-1-2-21111000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i3200001+i321+i31+i3−1−i32−1−i32−1−i32−1−i32000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i3200001−i321−i31−i3−1+i32−1+i32−1+i32−1+i32000
χ73222-1-1222-1-2-2-1-1-111000012i−2i−i−iii000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i320000−1−i322ζ22−2ζ22−ζ22−ζ22ζ22ζ22000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i320000−1+i322ζ14−2ζ14−ζ14−ζ14ζ14ζ14000
χ74222-1-1222-1-2-2-1-1-11100001−2i2iii−i−i000−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i320000−1−i32−2ζ222ζ22ζ22ζ22−ζ22−ζ22000−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i320000−1+i32−2ζ142ζ14ζ14ζ14−ζ14−ζ14000
χ75222-1-1-2-22-12-2-111110000-1003−33−3000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i31+i32−1−i31+i31+i32−1−i32−1−i32−1−i32−1−i3200001+i32002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i31−i32−1+i31−i31−i32−1+i32−1+i32−1+i32−1+i3200001−i3200−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22000
χ76222-1-1-2-22-12-2-111110000-100−33−33000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i31+i32−1−i31+i31+i32−1−i32−1−i32−1−i32−1−i3200001+i3200−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i31−i32−1+i31−i31−i32−1+i32−1+i32−1+i32−1+i3200001−i3200ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22000
χ77222-1-1-2-22-1-22-111-1-10000100−i3i3i3−i3000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i31+i321+i3−1−i31+i32−1−i32−1−i321+i321+i320000−1−i3200−3+i323−i323−i32−3+i32000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i31−i321−i3−1+i31−i32−1+i32−1+i321−i321−i320000−1+i32003+i32−3−i32−3−i323+i32000
χ78222-1-1-2-22-1-22-111-1-10000100i3−i3−i3i3000−1−i3−1−i3−1−i31+i321+i321+i31+i3−1−i31+i321+i3−1−i31+i32−1−i32−1−i321+i321+i320000−1−i32003−i32−3+i32−3+i323−i32000−1+i3−1+i3−1+i31−i321−i321−i31−i3−1+i31−i321−i3−1+i31−i32−1+i32−1+i321−i321−i320000−1+i3200−3−i323+i323+i32−3−i32000
χ794444400-4400-4000000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3002+2i3−2−2i3002+2i3000000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3002−2i3−2+2i3002−2i3000000000000000000
χ80444-2-200-4-200200−2i32i300000000000000−2−2i3−2−2i3−2−2i31+i31+i3002+2i31+i300−1−i300−3+i33−i300000000000000−2+2i3−2+2i3−2+2i31−i31−i3002−2i31−i300−1+i3003+i3−3−i300000000000000
χ81444-2-200-4-2002002i3−2i300000000000000−2−2i3−2−2i3−2−2i31+i31+i3002+2i31+i300−1−i3003−i3−3+i300000000000000−2+2i3−2+2i3−2+2i31−i31−i3002−2i31−i300−1+i300−3−i33+i300000000000000
χ8244-444000-400000002i2i−2i−2i0000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i30002+2i300000002ζ222ζ22−2ζ22−2ζ220000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i30002−2i300000002ζ142ζ14−2ζ14−2ζ140000000000
χ8344-444000-40000000−2i−2i2i2i0000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i30002+2i30000000−2ζ22−2ζ222ζ222ζ220000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i30002−2i30000000−2ζ14−2ζ142ζ142ζ140000000000
χ844-404-42i−2i000002i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000−2−2i32+2i30−2−2i32+2i32ζ22−2ζ22000002ζ22−2ζ2200−2ζ72ζ72ζ13−2ζ130000000000−2+2i32−2i30−2+2i32−2i32ζ14−2ζ14000002ζ14−2ζ1400−2ζ232ζ232ζ5−2ζ50000000000
χ854-404-42i−2i000002i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000−2−2i32+2i30−2−2i32+2i32ζ22−2ζ22000002ζ22−2ζ22002ζ7−2ζ7−2ζ132ζ130000000000−2+2i32−2i30−2+2i32−2i32ζ14−2ζ14000002ζ14−2ζ14002ζ23−2ζ23−2ζ52ζ50000000000
χ864-404-4−2i2i00000−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000−2−2i32+2i30−2−2i32+2i3−2ζ222ζ2200000−2ζ222ζ22002ζ13−2ζ13−2ζ72ζ70000000000−2+2i32−2i30−2+2i32−2i3−2ζ142ζ1400000−2ζ142ζ14002ζ5−2ζ5−2ζ232ζ230000000000
χ874-404-4−2i2i00000−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000−2−2i32+2i30−2−2i32+2i3−2ζ222ζ2200000−2ζ222ζ2200−2ζ132ζ132ζ7−2ζ70000000000−2+2i32−2i30−2+2i32−2i3−2ζ142ζ1400000−2ζ142ζ1400−2ζ52ζ52ζ23−2ζ230000000000
χ8888-8-4-40004000000000000000000000−4−4i3−4−4i34+4i32+2i32+2i3000−2−2i3000000000000000000000−4+4i3−4+4i34−4i32−2i32−2i3000−2+2i3000000000000000000000
χ898-80-444i−4i00000−2i2i0000000000000000−4−4i34+4i302+2i3−2−2i34ζ22−4ζ2200000−2ζ222ζ220000000000000000−4+4i34−4i302−2i3−2+2i34ζ14−4ζ1400000−2ζ142ζ140000000000000000
χ908-80-44−4i4i000002i−2i0000000000000000−4−4i34+4i302+2i3−2−2i3−4ζ224ζ22000002ζ22−2ζ220000000000000000−4+4i34−4i302−2i3−2+2i3−4ζ144ζ14000002ζ14−2ζ140000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.