Finite Group Databasebeta

← Group #152925

Character table — Group #152925

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size112222244444888888888816161616161616161616161616323232323232
order12244882444822444888882244444488888888888
χ111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111
χ5111111111-1-111-11-1-1-1-11-1-11111ii−i−i1ii−i−i-1-1ii−i−i
χ6111111111-1-111-11-1-1-1-11-1-11111−i−iii1−i−iii-1-1−i−iii
χ7111111111-1-111-11-1-1-1-11-1-1-1-1-1-1ii−i−i1ii−i−i11−i−iii
χ8111111111-1-111-11-1-1-1-11-1-1-1-1-1-1−i−iii1−i−iii11ii−i−i
χ911111-1-11111-111111-1-1-1-1-11-11-11111-1-1-1-1-11-11-11-1
χ1011111-1-11111-111111-1-1-1-1-11-11-1-1-1-1-1-111111-1-11-11
χ1111111-1-11111-111111-1-1-1-1-1-11-111111-1-1-1-1-1-11-11-11
χ1211111-1-11111-111111-1-1-1-1-1-11-11-1-1-1-1-11111-111-11-1
χ1311111-1-111-1-1-11-11-1-111-1111-11-1ii−i−i-1−i−iii-11i−i−ii
χ1411111-1-111-1-1-11-11-1-111-1111-11-1−i−iii-1ii−i−i-11−iii−i
χ1511111-1-111-1-1-11-11-1-111-111-11-11ii−i−i-1−i−iii1-1−iii−i
χ1611111-1-111-1-1-11-11-1-111-111-11-11−i−iii-1ii−i−i1-1i−i−ii
χ17222222222222-2-2-22-2222-2-200000000-20000000000
χ18222222222-2-22-22-2-22-2-222200000000-20000000000
χ1922222-2-22222-2-2-2-22-2-2-2-2220000000020000000000
χ2022222-2-222-2-2-2-22-2-2222-2-2-20000000020000000000
χ21222-2-200-2222022-2-2-20000000002-22-200000000000
χ22222-2-200-2222022-2-2-2000000000-22-2200000000000
χ23222-2-200-22220-2-22-22000000000000002-22-2000000
χ24222-2-200-22220-2-22-2200000000000000-22-22000000
χ25222-2-200-22-2-202-2-2220000000002i−2i−2i2i00000000000
χ26222-2-200-22-2-202-2-222000000000−2i2i2i−2i00000000000
χ27222-2-200-22-2-20-2222-2000000000000002i−2i−2i2i000000
χ28222-2-200-22-2-20-2222-200000000000000−2i2i2i−2i000000
χ294444444-4-40040000000-4000000000000000000000
χ3044444-4-4-4-400-400000004000000000000000000000
χ31444-4-4004-4000000000004i−4i0000000000000000000
χ32444-4-4004-400000000000−4i4i0000000000000000000
χ3344-4-44440000-400000000002-2-22000000000000000
χ3444-4-44440000-40000000000-222-2000000000000000
χ3544-4-44-4-400004000000000022-2-2000000000000000
χ3644-4-44-4-4000040000000000-2-222000000000000000
χ3788-88-8000000000000000000000000000000000000
χ388-80004i2−4i2004-40000002i2−2i20000000000000000000000
χ398-80004i2−4i200-44000000−2i22i20000000000000000000000
χ408-8000−4i24i2004-4000000−2i22i20000000000000000000000
χ418-8000−4i24i200-440000002i2−2i20000000000000000000000

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