Finite Group Databasebeta

← Group #13146860

Character table — Group #13146860

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11222222222223333666666666666121212121212121212121212121212242424242424242424242424242424242424242424242424727272727272727272727272
order12346881212242424243366246612121212242424246668121212242424242424242433366612121212121224242424242424242424242444881212121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111−1−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+i321−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−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+i32
χ41111111111111−1−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+i321−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ51111111111111−1+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−i321−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+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−i32
χ61111111111111−1+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−i321−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ711111-1-111-1-1-1-1111111111111-1-1-1-1111-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-1
χ811111-1-111-1-1-1-1111111111111-1-1-1-1111-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11
χ911111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32-11−1−i32−1+i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ1011111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32-11−1−i32−1+i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ1111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-11−1+i32−1−i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ1211111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-11−1+i32−1−i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ1322222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ142222222222222−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32−1−i3−1+i322−1−i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ152222222222222−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i32−1+i3−1−i322−1+i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ1622222-2-222-2-2-2-2222222222222-2-2-2-2222-2222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000
χ1722222-2-222-2-2-2-2−1−i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i32−1−i3−1+i3-22−1−i3−1+i3-2-21+i31+i31+i31−i31−i31−i3-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ1822222-2-222-2-2-2-2−1+i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i32−1+i3−1−i3-22−1+i3−1−i3-2-21−i31−i31−i31+i31+i31+i3-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ19222-2200-2-200002222-22-2-2-2-2220000-2-2-2022200000000222222-2-2-2-2-2-2000000000000000000000000
χ20222-2200-2-200002222-22-2-2-2-2220000-2-2-2022200000000-1-1-1-1-1-111111133−3−333−3−333−3−3000000000000
χ21222-2200-2-200002222-22-2-2-2-2220000-2-2-2022200000000-1-1-1-1-1-1111111−3−333−3−333−3−333000000000000
χ22222-2200-2-20000−1−i3−1+i3−1−i3−1+i3-221+i31−i31+i31−i3−1−i3−1+i30000-21+i31−i302−1−i3−1+i3000000002−1−i3−1+i32−1−i3−1+i3-2-21+i31+i31−i31−i3000000000000000000000000
χ23222-2200-2-20000−1−i3−1+i3−1−i3−1+i3-221+i31−i31+i31−i3−1−i3−1+i30000-21+i31−i302−1−i3−1+i300000000-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i3233−3−32ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22000000000000
χ24222-2200-2-20000−1−i3−1+i3−1−i3−1+i3-221+i31−i31+i31−i3−1−i3−1+i30000-21+i31−i302−1−i3−1+i300000000-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32−3−333−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22000000000000
χ25222-2200-2-20000−1+i3−1−i3−1+i3−1−i3-221−i31+i31−i31+i3−1+i3−1−i30000-21−i31+i302−1+i3−1−i3000000002−1+i3−1−i32−1+i3−1−i3-2-21−i31−i31+i31+i3000000000000000000000000
χ26222-2200-2-20000−1+i3−1−i3−1+i3−1−i3-221−i31+i31−i31+i3−1+i3−1−i30000-21−i31+i302−1+i3−1−i300000000-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i3233−3−3−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22000000000000
χ27222-2200-2-20000−1+i3−1−i3−1+i3−1−i3-221−i31+i31−i31+i3−1+i3−1−i30000-21−i31+i302−1+i3−1−i300000000-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32−3−333ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22000000000000
χ2833333333333333333-1-1-1-133-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000011-1-11111-1-1-1-1
χ2933333333333333333-1-1-1-133-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-1-111-1-1-1-11111
χ303333333333333−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i32−3−3i32−3+3i321+i321−i32−3−3i32−3−3i32−3+3i32−3+3i32-11+i321−i32-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i3200000000000000000000000011-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ313333333333333−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i32−3−3i32−3+3i321+i321−i32−3−3i32−3−3i32−3+3i32−3+3i32-11+i321−i32-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i32000000000000000000000000-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ323333333333333−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i32−3+3i32−3−3i321−i321+i32−3+3i32−3+3i32−3−3i32−3−3i32-11−i321+i32-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i3200000000000000000000000011-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ333333333333333−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i32−3+3i32−3−3i321−i321+i32−3+3i32−3+3i32−3−3i32−3−3i32-11−i321+i32-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i32000000000000000000000000-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ3433333-3-333-3-3-3-33333-1-1-1-133-1-1-3-3-3-3-1-1-11-1-1-1111111110000000000000000000000001-1-111-11-1-11-11
χ3533333-3-333-3-3-3-33333-1-1-1-133-1-1-3-3-3-3-1-1-11-1-1-111111111000000000000000000000000-111-1-11-111-11-1
χ3633333-3-333-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i32−3−3i32−3+3i321+i321−i323+3i323+3i323−3i323−3i32-11+i321−i321-11+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320000000000000000000000001-1-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ3733333-3-333-3-3-3-3−3−3i32−3+3i32−3−3i32−3+3i32-1-11+i321−i32−3−3i32−3+3i321+i321−i323+3i323+3i323−3i323−3i32-11+i321−i321-11+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ3833333-3-333-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i32−3+3i32−3−3i321−i321+i323−3i323−3i323+3i323+3i32-11−i321+i321-11−i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i320000000000000000000000001-1-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ3933333-3-333-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i32-1-11−i321+i32−3+3i32−3−3i321−i321+i323−3i323−3i323+3i323+3i32-11−i321+i321-11−i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000000-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ404-440-422−22002222−22−2244-4-40000000022−2222−22000000000000000111-1-1-13−33−33−3ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ414-440-422−22002222−22−2244-4-40000000022−2222−22000000000000000111-1-1-1−33−33−33ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ424-440-422−22002222−22−2244-4-40000000022−2222−22000000000000000-2-2-22220000002−2−222−2−222−2−22000000000000
χ434-440-422−22002222−22−22−2−2i3−2+2i32+2i32−2i300000000−2ζ7+2ζ132ζ7−2ζ132ζ5−2ζ23−2ζ5+2ζ230000000000000001−1−i32−1+i32-11+i321−i323−32ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ23ζ7+ζ13+ζ23−ζ7−ζ13−ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13000000000000
χ444-440-422−22002222−22−22−2−2i3−2+2i32+2i32−2i300000000−2ζ7+2ζ132ζ7−2ζ132ζ5−2ζ23−2ζ5+2ζ230000000000000001−1−i32−1+i32-11+i321−i32−33−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7+ζ23−ζ5−ζ7−ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13−ζ7−ζ13−ζ23ζ7+ζ13+ζ23000000000000
χ454-440-422−22002222−22−22−2−2i3−2+2i32+2i32−2i300000000−2ζ7+2ζ132ζ7−2ζ132ζ5−2ζ23−2ζ5+2ζ23000000000000000-21+i31−i32−1−i3−1+i30000002−2−22−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23000000000000
χ464-440-422−22002222−22−22−2+2i3−2−2i32−2i32+2i3000000002ζ5−2ζ23−2ζ5+2ζ23−2ζ7+2ζ132ζ7−2ζ130000000000000001−1+i32−1−i32-11−i321+i323−3−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ7+ζ13+ζ23−ζ7−ζ13−ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13−ζ5−ζ13−ζ23ζ5+ζ13+ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ23000000000000
χ474-440-422−22002222−22−22−2+2i3−2−2i32−2i32+2i3000000002ζ5−2ζ23−2ζ5+2ζ23−2ζ7+2ζ132ζ7−2ζ130000000000000001−1+i32−1−i32-11−i321+i32−33ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7−ζ13ζ5+ζ7+ζ13−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ23000000000000
χ484-440-422−22002222−22−22−2+2i3−2−2i32−2i32+2i3000000002ζ5−2ζ23−2ζ5+2ζ23−2ζ7+2ζ132ζ7−2ζ13000000000000000-21−i31+i32−1+i3−1−i30000002−2−22ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13000000000000
χ494-440-4−222200−22−22222244-4-400000000−2222−2222000000000000000111-1-1-13−33−33−3−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ504-440-4−222200−22−22222244-4-400000000−2222−2222000000000000000111-1-1-1−33−33−33−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ514-440-4−222200−22−22222244-4-400000000−2222−2222000000000000000-2-2-2222000000−222−2−222−2−222−2000000000000
χ524-440-4−222200−22−222222−2−2i3−2+2i32+2i32−2i3000000002ζ7−2ζ13−2ζ7+2ζ13−2ζ5+2ζ232ζ5−2ζ230000000000000001−1−i32−1+i32-11+i321−i323−32ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ7−ζ13−ζ23ζ7+ζ13+ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13000000000000
χ534-440-4−222200−22−222222−2−2i3−2+2i32+2i32−2i3000000002ζ7−2ζ13−2ζ7+2ζ13−2ζ5+2ζ232ζ5−2ζ230000000000000001−1−i32−1+i32-11+i321−i32−33−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7−ζ23ζ5+ζ7+ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ23000000000000
χ544-440-4−222200−22−222222−2−2i3−2+2i32+2i32−2i3000000002ζ7−2ζ13−2ζ7+2ζ13−2ζ5+2ζ232ζ5−2ζ23000000000000000-21+i31−i32−1−i3−1+i3000000−222−2ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23000000000000
χ554-440-4−222200−22−222222−2+2i3−2−2i32−2i32+2i300000000−2ζ5+2ζ232ζ5−2ζ232ζ7−2ζ13−2ζ7+2ζ130000000000000001−1+i32−1−i32-11−i321+i323−3−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ7−ζ13−ζ23ζ7+ζ13+ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ5+ζ13+ζ23−ζ5−ζ13−ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23000000000000
χ564-440-4−222200−22−222222−2+2i3−2−2i32−2i32+2i300000000−2ζ5+2ζ232ζ5−2ζ232ζ7−2ζ13−2ζ7+2ζ130000000000000001−1+i32−1−i32-11−i321+i32−33ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7+ζ13−ζ5−ζ7−ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23000000000000
χ574-440-4−222200−22−222222−2+2i3−2−2i32−2i32+2i300000000−2ζ5+2ζ232ζ5−2ζ232ζ7−2ζ13−2ζ7+2ζ13000000000000000-21−i31+i32−1+i3−1−i3000000−222−2−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13000000000000
χ58666-6600-6-6000066662-222-6-6-2-200002220-2-2-200000000000000000000000000000000000000000000
χ59666-6600-6-60000−3−3i3−3+3i3−3−3i3−3+3i32-2−1−i3−1+i33+3i33−3i31+i31−i300002−1−i3−1+i30-21+i31−i300000000000000000000000000000000000000000000
χ60666-6600-6-60000−3+3i3−3−3i3−3+3i3−3−3i32-2−1+i3−1−i33−3i33+3i31−i31+i300002−1+i3−1−i30-21−i31+i300000000000000000000000000000000000000000000
χ6166-36-366-3-3-3-3-3-30000660000000000-3006-300-3-3000000000000000000000000000000000000000000
χ6266-36-366-3-3-3-3-3-30000-2-244004400001-2-2-21-2-2114-2-24-2-2000000000000000000000000000000000000
χ6366-36-366-3-3-3-3-3-30000-2-2−2−2i3−2+2i300−2−2i3−2+2i3000011+i31−i3-211+i31−i311−2−2i31+i31+i3−2+2i31−i31−i3000000000000000000000000000000000000
χ6466-36-366-3-3-3-3-3-30000-2-2−2+2i3−2−2i300−2+2i3−2−2i3000011−i31+i3-211−i31+i311−2+2i31−i31−i3−2−2i31+i31+i3000000000000000000000000000000000000
χ6566-36-3-6-6-3-333330000660000000000-300-6-30033000000000000000000000000000000000000000000
χ6666-36-3-6-6-3-333330000-2-244004400001-2-221-2-2-1-1-422-422000000000000000000000000000000000000
χ6766-36-3-6-6-3-333330000-2-2−2−2i3−2+2i300−2−2i3−2+2i3000011+i31−i3211+i31−i3-1-12+2i3−1−i3−1−i32−2i3−1+i3−1+i3000000000000000000000000000000000000
χ6866-36-3-6-6-3-333330000-2-2−2+2i3−2−2i300−2+2i3−2−2i3000011−i31+i3211−i31+i3-1-12−2i3−1+i3−1+i32+2i3−1−i3−1−i3000000000000000000000000000000000000
χ6966-3-6-3003333−3333−3300002-2-4-400440000-12201-2-23−3023−23023−23000000000000000000000000000000000000
χ7066-3-6-3003333−3333−3300002-22+2i32−2i300−2−2i3−2+2i30000-1−1−i3−1+i3011+i31−i33−304ζ14+2ζ22−4ζ14−2ζ220−2ζ14−4ζ222ζ14+4ζ22000000000000000000000000000000000000
χ7166-3-6-3003333−3333−3300002-22−2i32+2i300−2+2i3−2−2i30000-1−1+i3−1−i3011−i31+i33−30−2ζ14−4ζ222ζ14+4ζ2204ζ14+2ζ22−4ζ14−2ζ22000000000000000000000000000000000000
χ7266-3-6-3003333−3333−330000-6600000000003000-300−3333000000000000000000000000000000000000000000
χ7366-3-6-30033−3333−333300002-2-4-400440000-12201-2-2−330−23230−2323000000000000000000000000000000000000
χ7466-3-6-30033−3333−333300002-22+2i32−2i300−2−2i3−2+2i30000-1−1−i3−1+i3011+i31−i3−330−4ζ14−2ζ224ζ14+2ζ2202ζ14+4ζ22−2ζ14−4ζ22000000000000000000000000000000000000
χ7566-3-6-30033−3333−333300002-22−2i32+2i300−2+2i3−2−2i30000-1−1+i3−1−i3011−i31+i3−3302ζ14+4ζ22−2ζ14−4ζ220−4ζ14−2ζ224ζ14+2ζ22000000000000000000000000000000000000
χ7666-3-6-30033−3333−33330000-6600000000003000-30033−33000000000000000000000000000000000000000000
χ7712-12-60662−6263−636ζ5−6ζ76ζ13−6ζ23−6ζ5+6ζ7−6ζ13+6ζ230000000000000000000000000000000000000000000000000000000000000000000
χ7812-12-60662−62−63636ζ13−6ζ236ζ5−6ζ7−6ζ13+6ζ23−6ζ5+6ζ70000000000000000000000000000000000000000000000000000000000000000000
χ7912-12-606−626263−63−6ζ5+6ζ7−6ζ13+6ζ236ζ5−6ζ76ζ13−6ζ230000000000000000000000000000000000000000000000000000000000000000000
χ8012-12-606−6262−6363−6ζ13+6ζ23−6ζ5+6ζ76ζ13−6ζ236ζ5−6ζ70000000000000000000000000000000000000000000000000000000000000000000

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