Finite Group Databasebeta

← Group #85567

Character table — Group #85567

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26
size111166666612121212121224242424242432323232
order1244222444248888444488361212
χ111111111111111111111111111
χ2111111111111-1-1-1-1-1-1-1-1-1-11111
χ311-1-11-1-111-11-1ii−i−iii−i−ii−i11-1-1
χ411-1-11-1-111-11-1−i−iii−i−iii−ii11-1-1
χ52222222222220000000000-1-1-1-1
χ622-2-22-2-222-22-20000000000-1-111
χ733333-1-1-1-13-1-11111-1-1-1-1110000
χ833333-1-1-1-13-1-1-1-1-1-11111-1-10000
χ93333-13-13-1-1-1-111111-11-1-1-10000
χ103333-13-13-1-1-1-1-1-1-1-1-11-11110000
χ113333-1-13-13-1-1-11111-11-11-1-10000
χ123333-1-13-13-1-1-1-1-1-1-11-11-1110000
χ1333-3-3311-1-1-3-11ii−i−i−i−iiii−i0000
χ1433-3-3311-1-1-3-11−i−iiiii−i−i−ii0000
χ1533-3-3-11-3-131-11ii−i−i−iii−i−ii0000
χ1633-3-3-11-3-131-11−i−iiii−i−iii−i0000
χ1733-3-3-1-313-11-11ii−i−ii−i−ii−ii0000
χ1833-3-3-1-313-11-11−i−iii−iii−ii−i0000
χ194-44i−4i000000002ζ−2ζ2ζ3−2ζ30000001-1i−i
χ204-44i−4i00000000−2ζ2ζ−2ζ32ζ30000001-1i−i
χ214-4−4i4i000000002ζ3−2ζ32ζ−2ζ0000001-1−ii
χ224-4−4i4i00000000−2ζ32ζ3−2ζ2ζ0000001-1−ii
χ236666-2-2-2-2-2-22200000000000000
χ2466-6-6-222-2-222-200000000000000
χ258-88i−8i000000000000000000-11−ii
χ268-8−8i8i000000000000000000-11i−i

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.