Finite Group Databasebeta

← Group #508256

Character table — Group #508256

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444444488888881616161616161616161616161616323232323232
order12222222224444444444424444444444444444488
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111-11-11-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111-1-1-1-11-1-1-11-1111111-1-111-1-1-1-1
χ611111111111111111-1-1-1-11-1-1-11-1-1-1-1-111-1-1-1-11111
χ711111111111111111-1-1-1-1-1-11-1-111111-1-111-1-111-1-1
χ811111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-111
χ911111111111-1-11-1-1-111-1-111-1-1-1111-1-11-11-11-11-11-1
χ1011111111111-1-11-1-1-111-1-111-1-1-11-1-1111-11-1-11-11-11
χ1111111111111-1-11-1-1-111-1-1-111-11-111-1-1-11-11-11-111-1
χ1211111111111-1-11-1-1-111-1-1-111-11-1-1-111-11-111-11-1-11
χ1311111111111-1-11-1-1-1-1-1111-111-1-111-1-11-1-111-1-11-11
χ1411111111111-1-11-1-1-1-1-1111-111-1-1-1-1111-1-11-111-11-1
χ1511111111111-1-11-1-1-1-1-111-1-1-111111-1-1-111-1-111-1-11
χ1611111111111-1-11-1-1-1-1-111-1-1-1111-1-111-111-11-1-111-1
χ172222222-22-2-222-22-2-20000002002000000-2-2000000
χ182222222-22-2-222-22-2-2000000-200-200000022000000
χ192222222-22-2-2-2-2-2-222000000200-20000002-2000000
χ202222222-22-2-2-2-2-2-222000000-2002000000-22000000
χ21222222-22-22-222-2-22-200002000200000-2-200000000
χ22222222-22-22-222-2-22-20000-2000-2000002200000000
χ23222222-22-22-2-2-2-22-2200002000-200000-2200000000
χ24222222-22-22-2-2-2-22-220000-20002000002-200000000
χ25222222-2-2-2-22222-2-2222220-20-20000000000000000
χ26222222-2-2-2-22222-2-22-2-2-2-202020000000000000000
χ27222222-2-2-2-22-2-2222-222-2-20-2020000000000000000
χ28222222-2-2-2-22-2-2222-2-2-222020-20000000000000000
χ294444-4-4000004-4000000000000002-22-20000000000
χ304444-4-4000004-400000000000000-22-220000000000
χ314444-4-400000-44000000000000002-2-220000000000
χ324444-4-400000-4400000000000000-222-20000000000
χ3344-4-44-444-4-4-4004000000000000000000000000000
χ3444-4-44-44-4-44400-4000000000000000000000000000
χ3544-4-44-4-444-4400-4000000000000000000000000000
χ3644-4-44-4-4-444-4004000000000000000000000000000
χ3788-8-8-8800000000000000000000000000000000000
χ388-88-80000000000000004i−4i00000000000000000000
χ398-88-8000000000000000−4i4i00000000000000000000
χ408-8-8800000000000004i−4i0000000000000000000000
χ418-8-880000000000000−4i4i0000000000000000000000

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