Finite Group Databasebeta

← Group #150855

Character table — Group #150855

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size112222244444888888888816161616161616161616161616323232323232
order1224488244482244488888224481616161616161616888888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ511111111-11-111-11-1-1-1-11-1-111111iiii−i−i−i−i-1-1ii−i−i
χ611111111-11-111-11-1-1-1-11-1-111111−i−i−i−iiiii-1-1−i−iii
χ711111111-11-111-11-1-1-1-11-1-1-1-1-1-11iiii−i−i−i−i11−i−iii
χ811111111-11-111-11-1-1-1-11-1-1-1-1-1-11−i−i−i−iiiii11ii−i−i
χ911111-1-11111-1-1-1-1-11-1-1-1111-11-1111-1-111-1-11-11-11-1
χ1011111-1-11111-1-1-1-1-11-1-1-1111-11-11-1-111-1-1111-1-11-11
χ1111111-1-11111-1-1-1-1-11-1-1-111-11-11111-1-111-1-1-11-11-11
χ1211111-1-11111-1-1-1-1-11-1-1-111-11-111-1-111-1-111-111-11-1
χ1311111-1-11-11-1-1-11-11-111-1-1-11-11-11ii−i−i−i−iii-11i−i−ii
χ1411111-1-11-11-1-1-11-11-111-1-1-11-11-11−i−iiiii−i−i-11−iii−i
χ1511111-1-11-11-1-1-11-11-111-1-1-1-11-111ii−i−i−i−iii1-1−iii−i
χ1611111-1-11-11-1-1-11-11-111-1-1-1-11-111−i−iiiii−i−i1-1i−i−ii
χ17222222222222-2-2-2-22222-2-20000-200000000000000
χ1822222222-22-22-22-22-2-2-22220000-200000000000000
χ1922222-2-22222-222222-2-2-2-2-20000-200000000000000
χ2022222-2-22-22-2-22-22-2-222-2220000-200000000000000
χ21222-2-200-2222022-2-2-200000000002−22−22−22−2000000
χ22222-2-200-2222022-2-2-20000000000−22−22−22−22000000
χ23222-2-200-22220-2-222-200000000002−2−222−2−22000000
χ24222-2-200-22220-2-222-20000000000−222−2−222−2000000
χ25222-2-200-2-22-202-2-2220000000000i2−i2i2−i2−i2i2−i2i2000000
χ26222-2-200-2-22-202-2-2220000000000−i2i2−i2i2i2−i2i2−i2000000
χ27222-2-200-2-22-20-222-220000000000i2−i2−i2i2−i2i2i2−i2000000
χ28222-2-200-2-22-20-222-220000000000−i2i2i2−i2i2−i2−i2i2000000
χ294444444-40-4040000000-4000000000000000000000
χ3044444-4-4-40-40-400000004000000000000000000000
χ31444-4-40040-400000000004i−4i0000000000000000000
χ32444-4-40040-40000000000−4i4i0000000000000000000
χ3344-4-44440000-4000000000022-2-2000000000000000
χ3444-4-44440000-40000000000-2-222000000000000000
χ3544-4-44-4-40000400000000002-2-22000000000000000
χ3644-4-44-4-4000040000000000-222-2000000000000000
χ3788-88-8000000000000000000000000000000000000
χ388-800042−42040-400000022−220000000000000000000000
χ398-800042−420-404000000−22220000000000000000000000
χ408-8000−4242040-4000000−22220000000000000000000000
χ418-8000−42420-40400000022−220000000000000000000000

Here i is the imaginary unit (i² = −1).