Finite Group Databasebeta

← Group #11756937

Character table — Group #11756937

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size13442688268851520201344268826885152020268841216164121616103040402688412161641216161030404026884121616412161610304040
order1233510151551015152266226610103030101030302266441212202060602020606044121244121220206060202060604412124412122020606020206060441212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32
χ311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32
χ43-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-100
χ5111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1
χ611−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32
χ711−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32
χ83-1003-1003-100-31003-1003-1003-100-31003-1003-1003-100-31003-1003-1003-100-31003-1003-1003-100-3100
χ92222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000
χ1022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ40000
χ1122−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ140000
χ126-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+52000000
χ132222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000
χ1422−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ130000
χ1522−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ80000
χ166-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−52000000
χ17111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1811−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32
χ1911−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32
χ203-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-1003-100-3100-3100-3100-3100-3100-3100-3100-3100
χ21111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ2211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i32
χ2311−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i32
χ243-1003-1003-100-31003-1003-1003-100-31003-1003-1003-100-3100-3100-3100-31003-100-3100-3100-31003-100
χ252222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-21−521−521−521−521+521+521+521+520000-2-2-2-21−521−521−521−521+521+521+521+520000
χ2622−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ40000-2-21−i31+i31−521−52−ζ2−ζ8−ζ7−ζ131+521+52−ζ11−ζ14−ζ−ζ40000-2-21−i31+i31−521−52−ζ2−ζ8−ζ7−ζ131+521+52−ζ11−ζ14−ζ−ζ40000
χ2722−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ140000-2-21+i31−i31−521−52−ζ7−ζ13−ζ2−ζ81+521+52−ζ−ζ4−ζ11−ζ140000-2-21+i31−i31−521−52−ζ7−ζ13−ζ2−ζ81+521+52−ζ−ζ4−ζ11−ζ140000
χ286-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+52000000-62003−352−1+52003+352−1−52000000-62003−352−1+52003+352−1−52000000
χ292222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-21+521+521+521+521−521−521−521−520000-2-2-2-21+521+521+521+521−521−521−521−520000
χ3022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ130000-2-21−i31+i31+521+52−ζ11−ζ14−ζ−ζ41−521−52−ζ2−ζ8−ζ7−ζ130000-2-21−i31+i31+521+52−ζ11−ζ14−ζ−ζ41−521−52−ζ2−ζ8−ζ7−ζ130000
χ3122−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ80000-2-21+i31−i31+521+52−ζ−ζ4−ζ11−ζ141−521−52−ζ7−ζ13−ζ2−ζ80000-2-21+i31−i31+521+52−ζ−ζ4−ζ11−ζ141−521−52−ζ7−ζ13−ζ2−ζ80000
χ326-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−52000000-62003+352−1−52003−352−1+52000000-62003+352−1−52003−352−1+52000000
χ3311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3411−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32
χ3511−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32
χ363-1003-1003-1003-1003-1003-1003-1003-100-3100-3100-3100-31003-1003-1003-1003-100-3100-3100-3100-3100
χ37111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3811−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i32
χ3911−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i32
χ403-1003-1003-100-31003-1003-1003-100-3100-3100-3100-31003-1003-1003-1003-100-3100-3100-3100-31003-100
χ412222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-21−521−521−521−521+521+521+521+5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-21−521−521−521−521+521+521+521+520000
χ4222−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ40000-2-21−i31+i31−521−52−ζ2−ζ8−ζ7−ζ131+521+52−ζ11−ζ14−ζ−ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ40000-2-21−i31+i31−521−52−ζ2−ζ8−ζ7−ζ131+521+52−ζ11−ζ14−ζ−ζ40000
χ4322−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ140000-2-21+i31−i31−521−52−ζ7−ζ13−ζ2−ζ81+521+52−ζ−ζ4−ζ11−ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ140000-2-21+i31−i31−521−52−ζ7−ζ13−ζ2−ζ81+521+52−ζ−ζ4−ζ11−ζ140000
χ446-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+52000000-62003−352−1+52003+352−1−520000006-200−3+3521−5200−3−3521+52000000-62003−352−1+52003+352−1−52000000
χ452222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-21+521+521+521+521−521−521−521−5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-21+521+521+521+521−521−521−521−520000
χ4622−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ130000-2-21−i31+i31+521+52−ζ11−ζ14−ζ−ζ41−521−52−ζ2−ζ8−ζ7−ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ130000-2-21−i31+i31+521+52−ζ11−ζ14−ζ−ζ41−521−52−ζ2−ζ8−ζ7−ζ130000
χ4722−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ80000-2-21+i31−i31+521+52−ζ−ζ4−ζ11−ζ141−521−52−ζ7−ζ13−ζ2−ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ80000-2-21+i31−i31+521+52−ζ−ζ4−ζ11−ζ141−521−52−ζ7−ζ13−ζ2−ζ80000
χ486-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−52000000-62003+352−1−52003−352−1+520000006-200−3−3521+5200−3+3521−52000000-62003+352−1−52003−352−1+52000000
χ4911111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5011−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32
χ5111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32
χ523-1003-1003-1003-1003-1003-1003-1003-100-3100-3100-3100-3100-3100-3100-3100-31003-1003-1003-1003-100
χ53111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ5411−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i32-1-11−i321+i32-1-11−i321+i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-11−i321+i32
χ5511−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i32-1-11+i321−i32-1-11+i321−i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-11+i321−i32
χ563-1003-1003-100-31003-1003-1003-100-3100-3100-3100-31003-100-3100-3100-31003-1003-1003-1003-100-3100
χ572222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-21−521−521−521−521+521+521+521+520000-2-2-2-21−521−521−521−521+521+521+521+5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000
χ5822−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ40000-2-21−i31+i31−521−52−ζ2−ζ8−ζ7−ζ131+521+52−ζ11−ζ14−ζ−ζ40000-2-21−i31+i31−521−52−ζ2−ζ8−ζ7−ζ131+521+52−ζ11−ζ14−ζ−ζ4000022−1+i3−1−i3−1+52−1+52ζ2+ζ8ζ7+ζ13−1−52−1−52ζ11+ζ14ζ+ζ40000
χ5922−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ140000-2-21+i31−i31−521−52−ζ7−ζ13−ζ2−ζ81+521+52−ζ−ζ4−ζ11−ζ140000-2-21+i31−i31−521−52−ζ7−ζ13−ζ2−ζ81+521+52−ζ−ζ4−ζ11−ζ14000022−1−i3−1+i3−1+52−1+52ζ7+ζ13ζ2+ζ8−1−52−1−52ζ+ζ4ζ11+ζ140000
χ606-200−3+3521−5200−3−3521+520000006-200−3+3521−5200−3−3521+52000000-62003−352−1+52003+352−1−52000000-62003−352−1+52003+352−1−520000006-200−3+3521−5200−3−3521+52000000
χ612222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-21+521+521+521+521−521−521−521−520000-2-2-2-21+521+521+521+521−521−521−521−5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000
χ6222−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ130000-2-21−i31+i31+521+52−ζ11−ζ14−ζ−ζ41−521−52−ζ2−ζ8−ζ7−ζ130000-2-21−i31+i31+521+52−ζ11−ζ14−ζ−ζ41−521−52−ζ2−ζ8−ζ7−ζ13000022−1+i3−1−i3−1−52−1−52ζ11+ζ14ζ+ζ4−1+52−1+52ζ2+ζ8ζ7+ζ130000
χ6322−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ80000-2-21+i31−i31+521+52−ζ−ζ4−ζ11−ζ141−521−52−ζ7−ζ13−ζ2−ζ80000-2-21+i31−i31+521+52−ζ−ζ4−ζ11−ζ141−521−52−ζ7−ζ13−ζ2−ζ8000022−1−i3−1+i3−1−52−1−52ζ+ζ4ζ11+ζ14−1+52−1+52ζ7+ζ13ζ2+ζ80000
χ646-200−3−3521+5200−3+3521−520000006-200−3−3521+5200−3+3521−52000000-62003+352−1−52003−352−1+52000000-62003+352−1−52003−352−1+520000006-200−3−3521+5200−3+3521−52000000
χ652222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ6622−1+i3−1−i322−1+i3−1−i322−1+i3−1−i322−1+i3−1−i3-2-21−i31+i3-2-21−i31+i3-2-21−i31+i3-2-21−i31+i3000000000000000000000000000000000000000000000000
χ6722−1−i3−1+i322−1−i3−1+i322−1−i3−1+i322−1−i3−1+i3-2-21+i31−i3-2-21+i31−i3-2-21+i31−i3-2-21+i31−i3000000000000000000000000000000000000000000000000
χ686-2006-2006-2006-200-6200-6200-6200-6200000000000000000000000000000000000000000000000000
χ69222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ7022−1+i3−1−i322−1+i3−1−i322−1+i3−1−i3-2-21−i31+i3-2-21−i31+i3-2-21−i31+i3-2-21−i31+i322−1+i3−1−i3000000000000000000000000000000000000000000000000
χ7122−1−i3−1+i322−1−i3−1+i322−1−i3−1+i3-2-21+i31−i3-2-21+i31−i3-2-21+i31−i3-2-21+i31−i322−1−i3−1+i3000000000000000000000000000000000000000000000000
χ726-2006-2006-200-6200-6200-6200-62006-200000000000000000000000000000000000000000000000000
χ734444−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−50000-4-4-4-41−51−51−51−51+51+51+51+50000000000000000000000000000000000000000000000000000
χ7444−2+2i3−2−2i3−1+5−1+52ζ2+2ζ82ζ7+2ζ13−1−5−1−52ζ11+2ζ142ζ+2ζ40000-4-42−2i32+2i31−51−5−2ζ2−2ζ8−2ζ7−2ζ131+51+5−2ζ11−2ζ14−2ζ−2ζ40000000000000000000000000000000000000000000000000000
χ7544−2−2i3−2+2i3−1+5−1+52ζ7+2ζ132ζ2+2ζ8−1−5−1−52ζ+2ζ42ζ11+2ζ140000-4-42+2i32−2i31−51−5−2ζ7−2ζ13−2ζ2−2ζ81+51+5−2ζ−2ζ4−2ζ11−2ζ140000000000000000000000000000000000000000000000000000
χ7612-400−3+351−500−3−351+5000000-124003−35−1+5003+35−1−5000000000000000000000000000000000000000000000000000000
χ774444−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+50000-4-4-4-41+51+51+51+51−51−51−51−50000000000000000000000000000000000000000000000000000
χ7844−2+2i3−2−2i3−1−5−1−52ζ11+2ζ142ζ+2ζ4−1+5−1+52ζ2+2ζ82ζ7+2ζ130000-4-42−2i32+2i31+51+5−2ζ11−2ζ14−2ζ−2ζ41−51−5−2ζ2−2ζ8−2ζ7−2ζ130000000000000000000000000000000000000000000000000000
χ7944−2−2i3−2+2i3−1−5−1−52ζ+2ζ42ζ11+2ζ14−1+5−1+52ζ7+2ζ132ζ2+2ζ80000-4-42+2i32−2i31+51+5−2ζ−2ζ4−2ζ11−2ζ141−51−5−2ζ7−2ζ13−2ζ2−2ζ80000000000000000000000000000000000000000000000000000
χ8012-400−3−351+500−3+351−5000000-124003+35−1−5003−35−1+5000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.