Finite Group Databasebeta

← Group #13180391

Character table — Group #13180391

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112888899121212121818182424242436363636367272112888899121212121818182424242436363636367272112888899121212121818182424242436363636367272
order12236662244442441212121248888443663666661212121261212121212121224242424121236636666612121212612121212121212242424241212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1
χ3111111111-1-1-1-1111-1-1-1-111111-1-1111111111-1-1-1-1111-1-1-1-111111-1-1111111111-1-1-1-1111-1-1-1-111111-1-1
χ4111111111-1-1-1-1111-1-1-1-11-1-1-1-111111111111-1-1-1-1111-1-1-1-11-1-1-1-111111111111-1-1-1-1111-1-1-1-11-1-1-1-111
χ511-11-1-111111-1-1-11111-1-1-111-1-11-111-11-1-111111-1-1-11111-1-1-111-1-11-111-11-1-111111-1-1-11111-1-1-111-1-11-1
χ611-11-1-111111-1-1-11111-1-1-1-1-111-1111-11-1-111111-1-1-11111-1-1-1-1-111-1111-11-1-111111-1-1-11111-1-1-1-1-111-11
χ711-11-1-1111-1-111-111-1-111-111-1-1-1111-11-1-1111-1-111-111-1-111-111-1-1-1111-11-1-1111-1-111-111-1-111-111-1-1-11
χ811-11-1-1111-1-111-111-1-111-1-1-1111-111-11-1-1111-1-111-111-1-111-1-1-1111-111-11-1-1111-1-111-111-1-111-1-1-1111-1
χ922222222200002-2-20000-200000022222222200002-2-20000-200000022222222200002-2-20000-2000000
χ102222222-2-20000-20000000i2−i2i2−i2002222222-2-20000-20000000i2−i2i2−i2002222222-2-20000-20000000i2−i2i2−i200
χ112222222-2-20000-20000000−i2i2−i2i2002222222-2-20000-20000000−i2i2−i2i2002222222-2-20000-20000000−i2i2−i2i200
χ1222-22-2-22220000-2-2-20000200000022-22-2-22220000-2-2-20000200000022-22-2-22220000-2-2-200002000000
χ1322-22-2-22-2-2000020000000i2−i2−i2i20022-22-2-22-2-2000020000000i2−i2−i2i20022-22-2-22-2-2000020000000i2−i2−i2i200
χ1422-22-2-22-2-2000020000000−i2i2i2−i20022-22-2-22-2-2000020000000−i2i2i2−i20022-22-2-22-2-2000020000000−i2i2i2−i200
χ152-20200-2-22002i−2i02-2002i−2i00000002-20200-2-22002i−2i02-2002i−2i00000002-20200-2-22002i−2i02-2002i−2i0000000
χ162-20200-2-2200−2i2i02-200−2i2i00000002-20200-2-2200−2i2i02-200−2i2i00000002-20200-2-2200−2i2i02-200−2i2i0000000
χ172-20200-2-222i−2i000-222i−2i0000000002-20200-2-222i−2i000-222i−2i0000000002-20200-2-222i−2i000-222i−2i000000000
χ182-20200-2-22−2i2i000-22−2i2i0000000002-20200-2-22−2i2i000-22−2i2i0000000002-20200-2-22−2i2i000-22−2i2i000000000
χ194-40400-44-40000000000000000004-40400-44-40000000000000000004-40400-44-4000000000000000000
χ20888-1-1-1-1002222000-1-1-1-10000000888-1-1-1-1002222000-1-1-1-10000000888-1-1-1-1002222000-1-1-1-10000000
χ21888-1-1-1-100-2-2-2-200011110000000888-1-1-1-100-2-2-2-200011110000000888-1-1-1-100-2-2-2-200011110000000
χ2288-8-111-10022-2-2000-1-111000000088-8-111-10022-2-2000-1-111000000088-8-111-10022-2-2000-1-1110000000
χ2388-8-111-100-2-22200011-1-1000000088-8-111-100-2-22200011-1-1000000088-8-111-100-2-22200011-1-10000000
χ248-80-13-31002i−2i2i−2i000−ii−ii00000008-80-13-31002i−2i2i−2i000−ii−ii00000008-80-13-31002i−2i2i−2i000−ii−ii0000000
χ258-80-13-3100−2i2i−2i2i000i−ii−i00000008-80-13-3100−2i2i−2i2i000i−ii−i00000008-80-13-3100−2i2i−2i2i000i−ii−i0000000
χ268-80-1-331002i−2i−2i2i000−iii−i00000008-80-1-331002i−2i−2i2i000−iii−i00000008-80-1-331002i−2i−2i2i000−iii−i0000000
χ278-80-1-33100−2i2i2i−2i000i−i−ii00000008-80-1-33100−2i2i2i−2i000i−i−ii00000008-80-1-33100−2i2i2i−2i000i−i−ii0000000
χ28111111111111111111111111111−1+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
χ29111111111111111111111-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ30111111111-1-1-1-1111-1-1-1-111111-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ31111111111-1-1-1-1111-1-1-1-11-1-1-1-111−1+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+i321−i321−i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ3211-11-1-111111-1-1-11111-1-1-111-1-11-1−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ3311-11-1-111111-1-1-11111-1-1-1-1-111-11−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ3411-11-1-1111-1-111-111-1-111-111-1-1-11−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ3511-11-1-1111-1-111-111-1-111-1-1-1111-1−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ3622222222200002-2-20000-2000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000−1+i31−i31−i300001−i3000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000−1−i31+i31+i300001+i3000000
χ372222222-2-20000-20000000i2−i2i2−i200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i30000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i30000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300
χ382222222-2-20000-20000000−i2i2−i2i200−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i30000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i30000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300
χ3922-22-2-22220000-2-2-200002000000−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i31−i30000−1+i3000000−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i31+i30000−1−i3000000
χ4022-22-2-22-2-2000020000000i2−i2−i2i200−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i30000−1+i30000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i30000−1−i30000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300
χ4122-22-2-22-2-2000020000000−i2i2i2−i200−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i30000−1+i30000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i30000−1−i30000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300
χ422-20200-2-22002i−2i02-2002i−2i0000000−1+i31−i30−1+i3001−i31−i3−1+i3002ζ14−2ζ140−1+i31−i3002ζ14−2ζ140000000−1−i31+i30−1−i3001+i31+i3−1−i3002ζ22−2ζ220−1−i31+i3002ζ22−2ζ220000000
χ432-20200-2-2200−2i2i02-200−2i2i0000000−1+i31−i30−1+i3001−i31−i3−1+i300−2ζ142ζ140−1+i31−i300−2ζ142ζ140000000−1−i31+i30−1−i3001+i31+i3−1−i300−2ζ222ζ220−1−i31+i300−2ζ222ζ220000000
χ442-20200-2-222i−2i000-222i−2i000000000−1+i31−i30−1+i3001−i31−i3−1+i32ζ14−2ζ140001−i3−1+i32ζ14−2ζ14000000000−1−i31+i30−1−i3001+i31+i3−1−i32ζ22−2ζ220001+i3−1−i32ζ22−2ζ22000000000
χ452-20200-2-22−2i2i000-22−2i2i000000000−1+i31−i30−1+i3001−i31−i3−1+i3−2ζ142ζ140001−i3−1+i3−2ζ142ζ14000000000−1−i31+i30−1−i3001+i31+i3−1−i3−2ζ222ζ220001+i3−1−i3−2ζ222ζ22000000000
χ464-40400-44-4000000000000000000−2+2i32−2i30−2+2i3002−2i3−2+2i32−2i3000000000000000000−2−2i32+2i30−2−2i3002+2i3−2−2i32+2i3000000000000000000
χ47888-1-1-1-1002222000-1-1-1-10000000−4+4i3−4+4i3−4+4i31−i321−i321−i321−i3200−1+i3−1+i3−1+i3−1+i30001−i321−i321−i321−i320000000−4−4i3−4−4i3−4−4i31+i321+i321+i321+i3200−1−i3−1−i3−1−i3−1−i30001+i321+i321+i321+i320000000
χ48888-1-1-1-100-2-2-2-200011110000000−4+4i3−4+4i3−4+4i31−i321−i321−i321−i32001−i31−i31−i31−i3000−1+i32−1+i32−1+i32−1+i320000000−4−4i3−4−4i3−4−4i31+i321+i321+i321+i32001+i31+i31+i31+i3000−1−i32−1−i32−1−i32−1−i320000000
χ4988-8-111-10022-2-2000-1-1110000000−4+4i3−4+4i34−4i31−i32−1+i32−1+i321−i3200−1+i3−1+i31−i31−i30001−i321−i32−1+i32−1+i320000000−4−4i3−4−4i34+4i31+i32−1−i32−1−i321+i3200−1−i3−1−i31+i31+i30001+i321+i32−1−i32−1−i320000000
χ5088-8-111-100-2-22200011-1-10000000−4+4i3−4+4i34−4i31−i32−1+i32−1+i321−i32001−i31−i3−1+i3−1+i3000−1+i32−1+i321−i321−i320000000−4−4i3−4−4i34+4i31+i32−1−i32−1−i321+i32001+i31+i3−1−i3−1−i3000−1−i32−1−i321+i321+i320000000
χ518-80-13-31002i−2i2i−2i000−ii−ii0000000−4+4i34−4i301−i32−3+3i323−3i32−1+i32002ζ14−2ζ142ζ14−2ζ14000−ζ14ζ14−ζ14ζ140000000−4−4i34+4i301+i32−3−3i323+3i32−1−i32002ζ22−2ζ222ζ22−2ζ22000−ζ22ζ22−ζ22ζ220000000
χ528-80-13-3100−2i2i−2i2i000i−ii−i0000000−4+4i34−4i301−i32−3+3i323−3i32−1+i3200−2ζ142ζ14−2ζ142ζ14000ζ14−ζ14ζ14−ζ140000000−4−4i34+4i301+i32−3−3i323+3i32−1−i3200−2ζ222ζ22−2ζ222ζ22000ζ22−ζ22ζ22−ζ220000000
χ538-80-1-331002i−2i−2i2i000−iii−i0000000−4+4i34−4i301−i323−3i32−3+3i32−1+i32002ζ14−2ζ14−2ζ142ζ14000−ζ14ζ14ζ14−ζ140000000−4−4i34+4i301+i323+3i32−3−3i32−1−i32002ζ22−2ζ22−2ζ222ζ22000−ζ22ζ22ζ22−ζ220000000
χ548-80-1-33100−2i2i2i−2i000i−i−ii0000000−4+4i34−4i301−i323−3i32−3+3i32−1+i3200−2ζ142ζ142ζ14−2ζ14000ζ14−ζ14−ζ14ζ140000000−4−4i34+4i301+i323+3i32−3−3i32−1−i3200−2ζ222ζ222ζ22−2ζ22000ζ22−ζ22−ζ22ζ220000000
χ55111111111111111111111111111−1−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
χ56111111111111111111111-1-1-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ57111111111-1-1-1-1111-1-1-1-111111-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ58111111111-1-1-1-1111-1-1-1-11-1-1-1-111−1−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−i321+i321+i321+i321+i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ5911-11-1-111111-1-1-11111-1-1-111-1-11-1−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ6011-11-1-111111-1-1-11111-1-1-1-1-111-11−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ6111-11-1-1111-1-111-111-1-111-111-1-1-11−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ6211-11-1-1111-1-111-111-1-111-1-1-1111-1−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ6322222222200002-2-20000-2000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000−1−i31+i31+i300001+i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000−1+i31−i31−i300001−i3000000
χ642222222-2-20000-20000000i2−i2i2−i200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i30000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i30000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300
χ652222222-2-20000-20000000−i2i2−i2i200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i30000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i30000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300
χ6622-22-2-22220000-2-2-200002000000−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i31+i30000−1−i3000000−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i31−i30000−1+i3000000
χ6722-22-2-22-2-2000020000000i2−i2−i2i200−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i30000−1−i30000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i30000−1+i30000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300
χ6822-22-2-22-2-2000020000000−i2i2i2−i200−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i30000−1−i30000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i30000−1+i30000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300
χ692-20200-2-22002i−2i02-2002i−2i0000000−1−i31+i30−1−i3001+i31+i3−1−i3002ζ22−2ζ220−1−i31+i3002ζ22−2ζ220000000−1+i31−i30−1+i3001−i31−i3−1+i3002ζ14−2ζ140−1+i31−i3002ζ14−2ζ140000000
χ702-20200-2-2200−2i2i02-200−2i2i0000000−1−i31+i30−1−i3001+i31+i3−1−i300−2ζ222ζ220−1−i31+i300−2ζ222ζ220000000−1+i31−i30−1+i3001−i31−i3−1+i300−2ζ142ζ140−1+i31−i300−2ζ142ζ140000000
χ712-20200-2-222i−2i000-222i−2i000000000−1−i31+i30−1−i3001+i31+i3−1−i32ζ22−2ζ220001+i3−1−i32ζ22−2ζ22000000000−1+i31−i30−1+i3001−i31−i3−1+i32ζ14−2ζ140001−i3−1+i32ζ14−2ζ14000000000
χ722-20200-2-22−2i2i000-22−2i2i000000000−1−i31+i30−1−i3001+i31+i3−1−i3−2ζ222ζ220001+i3−1−i3−2ζ222ζ22000000000−1+i31−i30−1+i3001−i31−i3−1+i3−2ζ142ζ140001−i3−1+i3−2ζ142ζ14000000000
χ734-40400-44-4000000000000000000−2−2i32+2i30−2−2i3002+2i3−2−2i32+2i3000000000000000000−2+2i32−2i30−2+2i3002−2i3−2+2i32−2i3000000000000000000
χ74888-1-1-1-1002222000-1-1-1-10000000−4−4i3−4−4i3−4−4i31+i321+i321+i321+i3200−1−i3−1−i3−1−i3−1−i30001+i321+i321+i321+i320000000−4+4i3−4+4i3−4+4i31−i321−i321−i321−i3200−1+i3−1+i3−1+i3−1+i30001−i321−i321−i321−i320000000
χ75888-1-1-1-100-2-2-2-200011110000000−4−4i3−4−4i3−4−4i31+i321+i321+i321+i32001+i31+i31+i31+i3000−1−i32−1−i32−1−i32−1−i320000000−4+4i3−4+4i3−4+4i31−i321−i321−i321−i32001−i31−i31−i31−i3000−1+i32−1+i32−1+i32−1+i320000000
χ7688-8-111-10022-2-2000-1-1110000000−4−4i3−4−4i34+4i31+i32−1−i32−1−i321+i3200−1−i3−1−i31+i31+i30001+i321+i32−1−i32−1−i320000000−4+4i3−4+4i34−4i31−i32−1+i32−1+i321−i3200−1+i3−1+i31−i31−i30001−i321−i32−1+i32−1+i320000000
χ7788-8-111-100-2-22200011-1-10000000−4−4i3−4−4i34+4i31+i32−1−i32−1−i321+i32001+i31+i3−1−i3−1−i3000−1−i32−1−i321+i321+i320000000−4+4i3−4+4i34−4i31−i32−1+i32−1+i321−i32001−i31−i3−1+i3−1+i3000−1+i32−1+i321−i321−i320000000
χ788-80-13-31002i−2i2i−2i000−ii−ii0000000−4−4i34+4i301+i32−3−3i323+3i32−1−i32002ζ22−2ζ222ζ22−2ζ22000−ζ22ζ22−ζ22ζ220000000−4+4i34−4i301−i32−3+3i323−3i32−1+i32002ζ14−2ζ142ζ14−2ζ14000−ζ14ζ14−ζ14ζ140000000
χ798-80-13-3100−2i2i−2i2i000i−ii−i0000000−4−4i34+4i301+i32−3−3i323+3i32−1−i3200−2ζ222ζ22−2ζ222ζ22000ζ22−ζ22ζ22−ζ220000000−4+4i34−4i301−i32−3+3i323−3i32−1+i3200−2ζ142ζ14−2ζ142ζ14000ζ14−ζ14ζ14−ζ140000000
χ808-80-1-331002i−2i−2i2i000−iii−i0000000−4−4i34+4i301+i323+3i32−3−3i32−1−i32002ζ22−2ζ22−2ζ222ζ22000−ζ22ζ22ζ22−ζ220000000−4+4i34−4i301−i323−3i32−3+3i32−1+i32002ζ14−2ζ14−2ζ142ζ14000−ζ14ζ14ζ14−ζ140000000
χ818-80-1-33100−2i2i2i−2i000i−i−ii0000000−4−4i34+4i301+i323+3i32−3−3i32−1−i3200−2ζ222ζ222ζ22−2ζ22000ζ22−ζ22−ζ22ζ220000000−4+4i34−4i301−i323−3i32−3+3i32−1+i3200−2ζ142ζ142ζ14−2ζ14000ζ14−ζ14−ζ14ζ140000000

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