Finite Group Databasebeta

← Group #13180387

Character table — Group #13180387

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112889916181818181818181818181818182424484872721128899161818181818181818181818181824244848727211288991618181818181818181818181818242448487272
order12436221244444888888882266443612366612121212121224242424242424246666121236123666121212121212242424242424242466661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1
χ31111111111111-1-1-1-1-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ511-11111-1-1-1-1111111-1-1-1-11-11-11-111-11111-1-1-1-1111111-1-1-1-11-11-11-111-11111-1-1-1-1111111-1-1-1-11-11-11-1
χ611-11111-1-1-1-1111111-1-1-1-1-11-11-1111-11111-1-1-1-1111111-1-1-1-1-11-11-1111-11111-1-1-1-1111111-1-1-1-1-11-11-11
χ711-11111-1-1-1-111-1-1-1-111111-11-1-1111-11111-1-1-1-111-1-1-1-111111-11-1-1111-11111-1-1-1-111-1-1-1-111111-11-1-11
χ811-11111-1-1-1-111-1-1-1-11111-11-111-111-11111-1-1-1-111-1-1-1-11111-11-111-111-11111-1-1-1-111-1-1-1-11111-11-111-1
χ9222222222-2-2-2-200000000000000222222222-2-2-2-200000000000000222222222-2-2-2-200000000000000
χ1022222-2-22-20000i2i2−i2−i2i2i2−i2−i200000022222-2-22-20000i2i2−i2−i2i2i2−i2−i200000022222-2-22-20000i2i2−i2−i2i2i2−i2−i2000000
χ1122222-2-22-20000−i2−i2i2i2−i2−i2i2i200000022222-2-22-20000−i2−i2i2i2−i2−i2i2i200000022222-2-22-20000−i2−i2i2i2−i2−i2i2i2000000
χ1222-22222-2-222-2-20000000000000022-22222-2-222-2-20000000000000022-22222-2-222-2-200000000000000
χ1322-222-2-2-220000i2i2−i2−i2−i2−i2i2i200000022-222-2-2-220000i2i2−i2−i2−i2−i2i2i200000022-222-2-2-220000i2i2−i2−i2−i2−i2i2i2000000
χ1422-222-2-2-220000−i2−i2i2i2i2i2−i2−i200000022-222-2-2-220000−i2−i2i2i2i2i2−i2−i200000022-222-2-2-220000−i2−i2i2i2i2i2−i2−i2000000
χ152-202-22-2002-200i2−i2i2−i2i2−i2i2−i20000002-202-22-2002-200i2−i2i2−i2i2−i2i2−i20000002-202-22-2002-200i2−i2i2−i2i2−i2i2−i2000000
χ162-202-22-2002-200−i2i2−i2i2−i2i2−i2i20000002-202-22-2002-200−i2i2−i2i2−i2i2−i2i20000002-202-22-2002-200−i2i2−i2i2−i2i2−i2i2000000
χ172-202-22-200-2200i2−i2i2−i2−i2i2−i2i20000002-202-22-200-2200i2−i2i2−i2−i2i2−i2i20000002-202-22-200-2200i2−i2i2−i2−i2i2−i2i2000000
χ182-202-22-200-2200−i2i2−i2i2i2−i2i2−i20000002-202-22-200-2200−i2i2−i2i2i2−i2i2−i20000002-202-22-200-2200−i2i2−i2i2i2−i2i2−i2000000
χ192-202-2-2200002-200002-2-220000002-202-2-2200002-200002-2-220000002-202-2-2200002-200002-2-22000000
χ202-202-2-2200002-20000-222-20000002-202-2-2200002-20000-222-20000002-202-2-2200002-20000-222-2000000
χ212-202-2-220000-222-2-2200000000002-202-2-220000-222-2-2200000000002-202-2-220000-222-2-220000000000
χ222-202-2-220000-22-222-200000000002-202-2-220000-22-222-200000000002-202-2-220000-22-222-20000000000
χ23888-1-100-1000000000000022-1-100888-1-100-1000000000000022-1-100888-1-100-1000000000000022-1-100
χ24888-1-100-10000000000000-2-21100888-1-100-10000000000000-2-21100888-1-100-10000000000000-2-21100
χ2588-8-1-100100000000000002-2-110088-8-1-100100000000000002-2-110088-8-1-100100000000000002-2-1100
χ2688-8-1-10010000000000000-221-10088-8-1-10010000000000000-221-10088-8-1-10010000000000000-221-100
χ2716-160-22000000000000000000000016-160-22000000000000000000000016-160-220000000000000000000000
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
χ301111111111111-1-1-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ311111111111111-1-1-1-1-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ3211-11111-1-1-1-1111111-1-1-1-11-11-11-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ3311-11111-1-1-1-1111111-1-1-1-1-11-11-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ3411-11111-1-1-1-111-1-1-1-111111-11-1-11−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
χ3511-11111-1-1-1-111-1-1-1-11111-11-111-1−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32
χ36222222222-2-2-2-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000
χ3722222-2-22-20000i2i2−i2−i2i2i2−i2−i2000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i30000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i30000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13000000
χ3822222-2-22-20000−i2−i2i2i2−i2−i2i2i2000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i30000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i30000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13000000
χ3922-22222-2-222-2-200000000000000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300000000000000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300000000000000
χ4022-222-2-2-220000i2i2−i2−i2−i2−i2i2i2000000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i30000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23000000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i30000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13000000
χ4122-222-2-2-220000−i2−i2i2i2i2i2−i2−i2000000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i30000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23000000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i30000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13000000
χ422-202-22-2002-200i2−i2i2−i2i2−i2i2−i2000000−1+i31−i30−1+i31−i3−1+i31−i300−1+i31−i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23000000−1−i31+i30−1−i31+i3−1−i31+i300−1−i31+i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13000000
χ432-202-22-2002-200−i2i2−i2i2−i2i2−i2i2000000−1+i31−i30−1+i31−i3−1+i31−i300−1+i31−i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000000−1−i31+i30−1−i31+i3−1−i31+i300−1−i31+i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13000000
χ442-202-22-200-2200i2−i2i2−i2−i2i2−i2i2000000−1+i31−i30−1+i31−i3−1+i31−i3001−i3−1+i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000000−1−i31+i30−1−i31+i3−1−i31+i3001+i3−1−i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13000000
χ452-202-22-200-2200−i2i2−i2i2i2−i2i2−i2000000−1+i31−i30−1+i31−i3−1+i31−i3001−i3−1+i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23000000−1−i31+i30−1−i31+i3−1−i31+i3001+i3−1−i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13000000
χ462-202-2-2200002-200002-2-22000000−1+i31−i30−1+i31−i31−i3−1+i30000−1+i31−i30000−1+i31−i31−i3−1+i3000000−1−i31+i30−1−i31+i31+i3−1−i30000−1−i31+i30000−1−i31+i31+i3−1−i3000000
χ472-202-2-2200002-20000-222-2000000−1+i31−i30−1+i31−i31−i3−1+i30000−1+i31−i300001−i3−1+i3−1+i31−i3000000−1−i31+i30−1−i31+i31+i3−1−i30000−1−i31+i300001+i3−1−i3−1−i31+i3000000
χ482-202-2-220000-222-2-220000000000−1+i31−i30−1+i31−i31−i3−1+i300001−i3−1+i3−1+i31−i31−i3−1+i30000000000−1−i31+i30−1−i31+i31+i3−1−i300001+i3−1−i3−1−i31+i31+i3−1−i30000000000
χ492-202-2-220000-22-222-20000000000−1+i31−i30−1+i31−i31−i3−1+i300001−i3−1+i31−i3−1+i3−1+i31−i30000000000−1−i31+i30−1−i31+i31+i3−1−i300001+i3−1−i31+i3−1−i3−1−i31+i30000000000
χ50888-1-100-1000000000000022-1-100−4+4i3−4+4i3−4+4i31−i321−i32001−i320000000000000−1+i3−1+i31−i321−i3200−4−4i3−4−4i3−4−4i31+i321+i32001+i320000000000000−1−i3−1−i31+i321+i3200
χ51888-1-100-10000000000000-2-21100−4+4i3−4+4i3−4+4i31−i321−i32001−i3200000000000001−i31−i3−1+i32−1+i3200−4−4i3−4−4i3−4−4i31+i321+i32001+i3200000000000001+i31+i3−1−i32−1−i3200
χ5288-8-1-100100000000000002-2-1100−4+4i3−4+4i34−4i31−i321−i3200−1+i320000000000000−1+i31−i31−i32−1+i3200−4−4i3−4−4i34+4i31+i321+i3200−1−i320000000000000−1−i31+i31+i32−1−i3200
χ5388-8-1-10010000000000000-221-100−4+4i3−4+4i34−4i31−i321−i3200−1+i3200000000000001−i3−1+i3−1+i321−i3200−4−4i3−4−4i34+4i31+i321+i3200−1−i3200000000000001+i3−1−i3−1−i321+i3200
χ5416-160-220000000000000000000000−8+8i38−8i301−i3−1+i30000000000000000000000−8−8i38+8i301+i3−1−i30000000000000000000000
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
χ571111111111111-1-1-1-1-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ581111111111111-1-1-1-1-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ5911-11111-1-1-1-1111111-1-1-1-11-11-11-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ6011-11111-1-1-1-1111111-1-1-1-1-11-11-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32
χ6111-11111-1-1-1-111-1-1-1-111111-11-1-11−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32
χ6211-11111-1-1-1-111-1-1-1-11111-11-111-1−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32
χ63222222222-2-2-2-200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000
χ6422222-2-22-20000i2i2−i2−i2i2i2−i2−i2000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i30000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i30000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23000000
χ6522222-2-22-20000−i2−i2i2i2−i2−i2i2i2000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i30000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i30000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23000000
χ6622-22222-2-222-2-200000000000000−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300000000000000−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300000000000000
χ6722-222-2-2-220000i2i2−i2−i2−i2−i2i2i2000000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i30000−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13000000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i30000−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23000000
χ6822-222-2-2-220000−i2−i2i2i2i2i2−i2−i2000000−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i30000ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13000000−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i30000ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23000000
χ692-202-22-2002-200i2−i2i2−i2i2−i2i2−i2000000−1−i31+i30−1−i31+i3−1−i31+i300−1−i31+i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13000000−1+i31−i30−1+i31−i3−1+i31−i300−1+i31−i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23000000
χ702-202-22-2002-200−i2i2−i2i2−i2i2−i2i2000000−1−i31+i30−1−i31+i3−1−i31+i300−1−i31+i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13000000−1+i31−i30−1+i31−i3−1+i31−i300−1+i31−i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000000
χ712-202-22-200-2200i2−i2i2−i2−i2i2−i2i2000000−1−i31+i30−1−i31+i3−1−i31+i3001+i3−1−i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13000000−1+i31−i30−1+i31−i3−1+i31−i3001−i3−1+i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000000
χ722-202-22-200-2200−i2i2−i2i2i2−i2i2−i2000000−1−i31+i30−1−i31+i3−1−i31+i3001+i3−1−i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13000000−1+i31−i30−1+i31−i3−1+i31−i3001−i3−1+i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23000000
χ732-202-2-2200002-200002-2-22000000−1−i31+i30−1−i31+i31+i3−1−i30000−1−i31+i30000−1−i31+i31+i3−1−i3000000−1+i31−i30−1+i31−i31−i3−1+i30000−1+i31−i30000−1+i31−i31−i3−1+i3000000
χ742-202-2-2200002-20000-222-2000000−1−i31+i30−1−i31+i31+i3−1−i30000−1−i31+i300001+i3−1−i3−1−i31+i3000000−1+i31−i30−1+i31−i31−i3−1+i30000−1+i31−i300001−i3−1+i3−1+i31−i3000000
χ752-202-2-220000-222-2-220000000000−1−i31+i30−1−i31+i31+i3−1−i300001+i3−1−i3−1−i31+i31+i3−1−i30000000000−1+i31−i30−1+i31−i31−i3−1+i300001−i3−1+i3−1+i31−i31−i3−1+i30000000000
χ762-202-2-220000-22-222-20000000000−1−i31+i30−1−i31+i31+i3−1−i300001+i3−1−i31+i3−1−i3−1−i31+i30000000000−1+i31−i30−1+i31−i31−i3−1+i300001−i3−1+i31−i3−1+i3−1+i31−i30000000000
χ77888-1-100-1000000000000022-1-100−4−4i3−4−4i3−4−4i31+i321+i32001+i320000000000000−1−i3−1−i31+i321+i3200−4+4i3−4+4i3−4+4i31−i321−i32001−i320000000000000−1+i3−1+i31−i321−i3200
χ78888-1-100-10000000000000-2-21100−4−4i3−4−4i3−4−4i31+i321+i32001+i3200000000000001+i31+i3−1−i32−1−i3200−4+4i3−4+4i3−4+4i31−i321−i32001−i3200000000000001−i31−i3−1+i32−1+i3200
χ7988-8-1-100100000000000002-2-1100−4−4i3−4−4i34+4i31+i321+i3200−1−i320000000000000−1−i31+i31+i32−1−i3200−4+4i3−4+4i34−4i31−i321−i3200−1+i320000000000000−1+i31−i31−i32−1+i3200
χ8088-8-1-10010000000000000-221-100−4−4i3−4−4i34+4i31+i321+i3200−1−i3200000000000001+i3−1−i3−1−i321+i3200−4+4i3−4+4i34−4i31−i321−i3200−1+i3200000000000001−i3−1+i3−1+i321−i3200
χ8116-160-220000000000000000000000−8−8i38+8i301+i3−1−i30000000000000000000000−8+8i38−8i301−i3−1+i30000000000000000000000

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