Finite Group Databasebeta

← Group #13135341

Character table — Group #13135341

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size112223333444444666666668888888812121212121212121212121212121224242424242424242424242424242424242424242424363636363636727272727272727272
order12236336622466633366666446121212121266666666666661212666121212121212121212121212121212121212124412121212444121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ5111111111-1-111-1-111111111i−i-11ii−i−i111-1-1-1-1-1-1-1-1-1-111-1-1-1111iiiiiiii−i−i−i−i−i−i−i−i111111-1i−i-1-1ii−i−i
χ6111111111-1-111-1-111111111i−i-11ii−i−i111-1-1-1-1-1-1-1-1-1-111-1-1-1111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11−ii11−i−iii
χ7111111111-1-111-1-111111111−ii-11−i−iii111-1-1-1-1-1-1-1-1-1-111-1-1-1111−i−i−i−i−i−i−i−iiiiiiiii111111-1−ii-1-1−i−iii
χ8111111111-1-111-1-111111111−ii-11−i−iii111-1-1-1-1-1-1-1-1-1-111-1-1-1111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11i−i11ii−i−i
χ911111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+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+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ1011111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+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+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1-11+i321−i321+i321−i321+i321−i32
χ1111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32-1-111-1-1-1-11−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i321-1-1−1−i32−1+i321+i321−i321+i321−i32
χ1211111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32-1-111-1-1-1-11−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32-1111+i321−i32−1−i32−1+i32−1−i32−1+i32
χ1311111−1−i32−1+i32−1−i32−1+i32-1-111-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32i−i-11ii−i−i1−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32iiζ11ζ11ζ11ζ7ζ7ζ7−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ711−1−i32−1−i32−1+i32−1+i32-1i−i1+i321−i32ζ11ζ7−ζ11−ζ7
χ1411111−1−i32−1+i32−1−i32−1+i32-1-111-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32i−i-11ii−i−i1−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32iiζ11ζ11ζ11ζ7ζ7ζ7−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7-1-11+i321+i321−i321−i321−ii−1−i32−1+i32−ζ11−ζ7ζ11ζ7
χ1511111−1−i32−1+i32−1−i32−1+i32-1-111-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−ii-11−i−iii1−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7iiζ11ζ11ζ11ζ7ζ7ζ711−1−i32−1−i32−1+i32−1+i32-1−ii1+i321−i32−ζ11−ζ7ζ11ζ7
χ1611111−1−i32−1+i32−1−i32−1+i32-1-111-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−ii-11−i−iii1−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321+i321−i32−1−i32−1+i32-11+i321−i321−1−i32−1+i32−i−i−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7iiζ11ζ11ζ11ζ7ζ7ζ7-1-11+i321+i321−i321−i321i−i−1−i32−1+i32ζ11ζ7−ζ11−ζ7
χ1711111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−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−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ1811111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−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−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1-11−i321+i321−i321+i321−i321+i32
χ1911111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32-1-111-1-1-1-11−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321-1-1−1+i32−1−i321−i321+i321−i321+i32
χ2011111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32-1-111-1-1-1-11−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i32-1111−i321+i32−1+i32−1−i32−1+i32−1−i32
χ2111111−1+i32−1−i32−1+i32−1−i32-1-111-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32i−i-11ii−i−i1−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32iiζ7ζ7ζ7ζ11ζ11ζ11−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ1111−1+i32−1+i32−1−i32−1−i32-1i−i1−i321+i32ζ7ζ11−ζ7−ζ11
χ2211111−1+i32−1−i32−1+i32−1−i32-1-111-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32i−i-11ii−i−i1−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32iiζ7ζ7ζ7ζ11ζ11ζ11−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11-1-11−i321−i321+i321+i321−ii−1+i32−1−i32−ζ7−ζ11ζ7ζ11
χ2311111−1+i32−1−i32−1+i32−1−i32-1-111-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−ii-11−i−iii1−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11iiζ7ζ7ζ7ζ11ζ11ζ1111−1+i32−1+i32−1−i32−1−i32-1−ii1−i321+i32−ζ7−ζ11ζ7ζ11
χ2411111−1+i32−1−i32−1+i32−1−i32-1-111-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−ii-11−i−iii1−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−i321+i32−1+i32−1−i32-11−i321+i321−1+i32−1−i32−i−i−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11iiζ7ζ7ζ7ζ11ζ11ζ11-1-11−i321−i321+i321+i321i−i−1+i32−1−i32ζ7ζ11−ζ7−ζ11
χ25222222222222222-1-1-1-1-1-12222222222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-12-1-1-1-12-1-12-1-1000000000000000
χ26222222222222222-1-1-1-1-1-122-2-222-2-2-2-2-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-111-211-21111-211-211000000000000000
χ272222222222-2-22222222222200-2-2000022222222222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000
χ282222222222-2-2222-1-1-1-1-1-12200-2-20000-1-1-122-1-1-1-1-1-1-2-2-2-2111111−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000000
χ292222222222-2-2222-1-1-1-1-1-12200-2-20000-1-1-122-1-1-1-1-1-1-2-2-2-2111111i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000000000000
χ30222222222-22-22-2-222222222002-20000222-2-2-2-2-2-2-2-222-2-2222-2-2-20000000000000000000000000000000
χ31222222222-22-22-2-2-1-1-1-1-1-122002-20000-1-1-1-2-211111122-2-2-1-1-11113−303−303−3−330−330−33000000000000000
χ32222222222-22-22-2-2-1-1-1-1-1-122002-20000-1-1-1-2-211111122-2-2-1-1-1111−330−330−333−303−303−3000000000000000
χ33222222222-2-222-2-2-1-1-1-1-1-1222i−2i-222i2i−2i−2i-1-1-1-2-2111111-2-222111-1-1-1−i−i2i−i−i2i−i−iii−2iii−2iii000000000000000
χ34222222222-2-222-2-2-1-1-1-1-1-122−2i2i-22−2i−2i2i2i-1-1-1-2-2111111-2-222111-1-1-1ii−2iii−2iii−i−i2i−i−i2i−i−i000000000000000
χ3522222−1−i3−1+i3−1−i3−1+i3222222-11+i321−i32-11+i321−i32−1−i3−1+i322222222-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i32000000000000000
χ3622222−1−i3−1+i3−1−i3−1+i3222222-11+i321−i32-11+i321−i32−1−i3−1+i3-2-222-2-2-2-2-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32111+i3−1−i32−1−i321−i3−1+i32−1+i32111+i3−1−i32−1−i321−i3−1+i32−1+i32000000000000000
χ3722222−1−i3−1+i3−1−i3−1+i32-2-22222−1−i3−1+i32−1−i3−1+i3−1−i3−1+i300-2-200002−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i31+i31−i31+i31−i3-21+i31−i3-21+i31−i30000000000000000000000000000000
χ3822222−1−i3−1+i3−1−i3−1+i32-2-2222-11+i321−i32-11+i321−i32−1−i3−1+i300-2-20000-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i31+i31−i31−1−i32−1+i321−1−i32−1+i32−i3i30−3+i323−i3203+i32−3−i32−i3i30−3+i323−i3203+i32−3−i32000000000000000
χ3922222−1−i3−1+i3−1−i3−1+i32-2-2222-11+i321−i32-11+i321−i32−1−i3−1+i300-2-20000-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i321+i31−i31+i31−i31−1−i32−1+i321−1−i32−1+i32i3−i303−i32−3+i320−3−i323+i32i3−i303−i32−3+i320−3−i323+i32000000000000000
χ4022222−1−i3−1+i3−1−i3−1+i3-22-22-2-22−1−i3−1+i32−1−i3−1+i3−1−i3−1+i3002-200002−1−i3−1+i31+i31−i3-2-21+i31+i31−i31−i3−1−i3−1+i31+i31−i32−1−i3−1+i3-21+i31−i30000000000000000000000000000000
χ4122222−1−i3−1+i3−1−i3−1+i3-22-22-2-2-11+i321−i32-11+i321−i32−1−i3−1+i3002-20000-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i323−302ζ7+ζ11−2ζ7−ζ110−ζ7−2ζ11ζ7+2ζ11−330−2ζ7−ζ112ζ7+ζ110ζ7+2ζ11−ζ7−2ζ11000000000000000
χ4222222−1−i3−1+i3−1−i3−1+i3-22-22-2-2-11+i321−i32-11+i321−i32−1−i3−1+i3002-20000-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i32−330−2ζ7−ζ112ζ7+ζ110ζ7+2ζ11−ζ7−2ζ113−302ζ7+ζ11−2ζ7−ζ110−ζ7−2ζ11ζ7+2ζ11000000000000000
χ4322222−1−i3−1+i3−1−i3−1+i3-2-222-2-2-11+i321−i32-11+i321−i32−1−i3−1+i32i−2i-222i2i−2i−2i-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i3−1−i3−1+i31−1−i32−1+i32-11+i321−i32−i−i2ζ11−ζ11−ζ112ζ7−ζ7−ζ7ii−2ζ11ζ11ζ11−2ζ7ζ7ζ7000000000000000
χ4422222−1−i3−1+i3−1−i3−1+i3-2-222-2-2-11+i321−i32-11+i321−i32−1−i3−1+i3−2i2i-22−2i−2i2i2i-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i321+i31−i3−1−i3−1+i31−1−i32−1+i32-11+i321−i32ii−2ζ11ζ11ζ11−2ζ7ζ7ζ7−i−i2ζ11−ζ11−ζ112ζ7−ζ7−ζ7000000000000000
χ4522222−1+i3−1−i3−1+i3−1−i3222222-11−i321+i32-11−i321+i32−1+i3−1−i322222222-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i32000000000000000
χ4622222−1+i3−1−i3−1+i3−1−i3222222-11−i321+i32-11−i321+i32−1+i3−1−i3-2-222-2-2-2-2-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32111−i3−1+i32−1+i321+i3−1−i32−1−i32111−i3−1+i32−1+i321+i3−1−i32−1−i32000000000000000
χ4722222−1+i3−1−i3−1+i3−1−i32-2-22222−1+i3−1−i32−1+i3−1−i3−1+i3−1−i300-2-200002−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i31−i31+i31−i31+i3-21−i31+i3-21−i31+i30000000000000000000000000000000
χ4822222−1+i3−1−i3−1+i3−1−i32-2-2222-11−i321+i32-11−i321+i32−1+i3−1−i300-2-20000-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i31−i31+i31−1+i32−1−i321−1+i32−1−i32−i3i303+i32−3−i320−3+i323−i32−i3i303+i32−3−i320−3+i323−i32000000000000000
χ4922222−1+i3−1−i3−1+i3−1−i32-2-2222-11−i321+i32-11−i321+i32−1+i3−1−i300-2-20000-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i321−i31+i31−i31+i31−1+i32−1−i321−1+i32−1−i32i3−i30−3−i323+i3203−i32−3+i32i3−i30−3−i323+i3203−i32−3+i32000000000000000
χ5022222−1+i3−1−i3−1+i3−1−i3-22-22-2-22−1+i3−1−i32−1+i3−1−i3−1+i3−1−i3002-200002−1+i3−1−i31−i31+i3-2-21−i31−i31+i31+i3−1+i3−1−i31−i31+i32−1+i3−1−i3-21−i31+i30000000000000000000000000000000
χ5122222−1+i3−1−i3−1+i3−1−i3-22-22-2-2-11−i321+i32-11−i321+i32−1+i3−1−i3002-20000-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i323−30−ζ7−2ζ11ζ7+2ζ1102ζ7+ζ11−2ζ7−ζ11−330ζ7+2ζ11−ζ7−2ζ110−2ζ7−ζ112ζ7+ζ11000000000000000
χ5222222−1+i3−1−i3−1+i3−1−i3-22-22-2-2-11−i321+i32-11−i321+i32−1+i3−1−i3002-20000-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i32−330ζ7+2ζ11−ζ7−2ζ110−2ζ7−ζ112ζ7+ζ113−30−ζ7−2ζ11ζ7+2ζ1102ζ7+ζ11−2ζ7−ζ11000000000000000
χ5322222−1+i3−1−i3−1+i3−1−i3-2-222-2-2-11−i321+i32-11−i321+i32−1+i3−1−i32i−2i-222i2i−2i−2i-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i3−1+i3−1−i31−1+i32−1−i32-11−i321+i32−i−i2ζ7−ζ7−ζ72ζ11−ζ11−ζ11ii−2ζ7ζ7ζ7−2ζ11ζ11ζ11000000000000000
χ5422222−1+i3−1−i3−1+i3−1−i3-2-222-2-2-11−i321+i32-11−i321+i32−1+i3−1−i3−2i2i-22−2i−2i2i2i-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i321−i31+i3−1+i3−1−i31−1+i32−1−i32-11−i321+i32ii−2ζ7ζ7ζ7−2ζ11ζ11ζ11−i−i2ζ7−ζ7−ζ72ζ11−ζ11−ζ11000000000000000
χ5544-4444444000-400444444-4-400000000-4-4-40000000000000000000000000000000000000000000000000
χ5644-4444444000-400-2-2-2-2-2-2-4-40000000022200−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000000
χ5744-4444444000-400-2-2-2-2-2-2-4-400000000222002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000000
χ5844-444−2−2i3−2+2i3−2−2i3−2+2i3000-4004−2−2i3−2+2i34−2−2i3−2+2i32+2i32−2i300000000-42+2i32−2i30000000000000000000000000000000000000000000000000
χ5944-444−2−2i3−2+2i3−2−2i3−2+2i3000-400-21+i31−i3-21+i31−i32+2i32−2i3000000002−1−i3−1+i300−2i32i3−3+i33−i33+i3−3−i300000000000000000000000000000000000000000
χ6044-444−2−2i3−2+2i3−2−2i3−2+2i3000-400-21+i31−i3-21+i31−i32+2i32−2i3000000002−1−i3−1+i3002i3−2i33−i3−3+i3−3−i33+i300000000000000000000000000000000000000000
χ6144-444−2+2i3−2−2i3−2+2i3−2−2i3000-4004−2+2i3−2−2i34−2+2i3−2−2i32−2i32+2i300000000-42−2i32+2i30000000000000000000000000000000000000000000000000
χ6244-444−2+2i3−2−2i3−2+2i3−2−2i3000-400-21−i31+i3-21−i31+i32−2i32+2i3000000002−1+i3−1−i300−2i32i33+i3−3−i3−3+i33−i300000000000000000000000000000000000000000
χ6344-444−2+2i3−2−2i3−2+2i3−2−2i3000-400-21−i31+i3-21−i31+i32−2i32+2i3000000002−1+i3−1−i3002i3−2i3−3−i33+i33−i3−3+i300000000000000000000000000000000000000000
χ644-404-444-4-4000000444-4-4-4000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i000000000
χ654-404-444-4-4000000444-4-4-400000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i000000000
χ664-404-4−2−2i3−2+2i32+2i32−2i30000004−2−2i3−2+2i3-42+2i32−2i3000000000000000000000000000000000000000000000002i−2i2ζ11−2ζ112ζ7−2ζ7000000000
χ674-404-4−2−2i3−2+2i32+2i32−2i30000004−2−2i3−2+2i3-42+2i32−2i300000000000000000000000000000000000000000000000−2i2i−2ζ112ζ11−2ζ72ζ7000000000
χ684-404-4−2+2i3−2−2i32−2i32+2i30000004−2+2i3−2−2i3-42−2i32+2i3000000000000000000000000000000000000000000000002i−2i2ζ7−2ζ72ζ11−2ζ11000000000
χ694-404-4−2+2i3−2−2i32−2i32+2i30000004−2+2i3−2−2i3-42−2i32+2i300000000000000000000000000000000000000000000000−2i2i−2ζ72ζ7−2ζ112ζ11000000000
χ70666-3-30000666-3-3-30000000066-3-3-3-3-3-30000000000000000000000000000000000000000000000000000
χ71666-3-30000666-3-3-300000000-6-6-3-333330000000000000000000000000000000000000000000000000000
χ72666-3-300006-6-6-3-3-3000000000033−3i33i3−3i33i30000000000000000000000000000000000000000000000000000
χ73666-3-300006-6-6-3-3-30000000000333i3−3i33i3−3i30000000000000000000000000000000000000000000000000000
χ74666-3-30000-66-6-3330000000000-3333−33−33330000000000000000000000000000000000000000000000000000
χ75666-3-30000-66-6-3330000000000-33−333333−330000000000000000000000000000000000000000000000000000
χ76666-3-30000-6-66-333000000006i−6i3-3−3i−3i3i3i0000000000000000000000000000000000000000000000000000
χ77666-3-30000-6-66-33300000000−6i6i3-33i3i−3i−3i0000000000000000000000000000000000000000000000000000
χ788-808-888-8-8000000-4-4-444400000000000000000000000000000000000000000000000000000000000000
χ798-808-8−4−4i3−4+4i34+4i34−4i3000000-42+2i32−2i34−2−2i3−2+2i300000000000000000000000000000000000000000000000000000000000000
χ808-808-8−4+4i3−4−4i34−4i34+4i3000000-42−2i32+2i34−2+2i3−2−2i300000000000000000000000000000000000000000000000000000000000000
χ811212-12-6-600000006−6i36i300000000000000000000000000000000000000000000000000000000000000000000
χ821212-12-6-6000000066i3−6i300000000000000000000000000000000000000000000000000000000000000000000
χ8324-240-1212000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.