Finite Group Databasebeta

← Group #11711368

Character table — Group #11711368

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30
size11222661212121212242432323232323232324848484848484848
order1248824448884836121224242424224416161616
χ1111111111111111111111111111111
χ21111111111111111111111-1-1-1-1-1-1-1-1
χ3111-1-111-1-1-111-111111-1-1-1-11-11-111-1-1
χ4111-1-111-1-1-111-111111-1-1-1-1-11-11-1-111
χ522222222222222-1-1-1-1-1-1-1-100000000
χ6222-2-222-2-2-222-22-1-1-1-1111100000000
χ73333333-1-13-1-1-1-1000000001111-1-1-1-1
χ83333333-1-13-1-1-1-100000000-1-1-1-11111
χ933333-1-1−1+2i−1−2i-1−1+2i−1−2i110000000011-1-1i−ii−i
χ1033333-1-1−1+2i−1−2i-1−1+2i−1−2i1100000000-1-111−ii−ii
χ1133333-1-1−1−2i−1+2i-1−1−2i−1+2i110000000011-1-1−ii−ii
χ1233333-1-1−1−2i−1+2i-1−1−2i−1+2i1100000000-1-111i−ii−i
χ13333-3-33311-3-1-11-1000000001-11-1-1-111
χ14333-3-33311-3-1-11-100000000-11-1111-1-1
χ15333-3-3-1-11+2i1−2i1−1−2i−1+2i-11000000001-1-11−iii−i
χ16333-3-3-1-11+2i1−2i1−1−2i−1+2i-1100000000-111-1i−i−ii
χ17333-3-3-1-11−2i1+2i1−1+2i−1−2i-11000000001-1-11i−i−ii
χ18333-3-3-1-11−2i1+2i1−1+2i−1−2i-1100000000-111-1−iii−i
χ1944-4004-4000000011-1-133−3−300000000
χ2044-4004-4000000011-1-1−3−33300000000
χ2144-4004-40000000-2-222000000000000
χ2266666-2-222-222-2-20000000000000000
χ23666-6-6-2-2-2-22222-20000000000000000
χ248-8042−420000000002-2002−22−200000000
χ258-8042−42000000000-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000
χ268-8042−42000000000-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000
χ278-80−42420000000002-200−22−2200000000
χ288-80−4242000000000-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000
χ298-80−4242000000000-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000
χ301212-1200-4400000000000000000000000

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