Finite Group Databasebeta

← Group #346232

Character table — Group #346232

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11114444444888888161616161616161616161616161616323232323232
order12222222222224444244444444444444444444
χ111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111-1-111-1111111-1-1-1-1-1-11-1-1-11-1
χ4111111111111111-1-111-1-1-1-1-1-1-11111111-1-1-1-11
χ51111111111111-1-111-1111111-1-111-1-1-1-1-11-1-1-11
χ61111111111111-1-111-111-1-1-1-111-1-11111-11-1-11-1
χ71111111111111-1-1-1-1-11-11111-1-1-1-11111-1-111-1-1
χ81111111111111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-11111
χ911111111111-1-111111-1111-1-111-1-111-1-1-1-11-1-11
χ1011111111111-1-111111-11-1-111-1-111-1-111-1-11-11-1
χ1111111111111-1-111-1-11-1-111-1-11111-1-111-11-11-1-1
χ1211111111111-1-111-1-11-1-1-1-111-1-1-1-111-1-1-11-1111
χ1311111111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1111-1-1111
χ1411111111111-1-1-1-111-1-11-1-111111111-1-11-1-11-1-1
χ1511111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-11-1
χ1611111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11
χ17222222-22-2-2-200002200-200002i−2i002i−2i00000000
χ18222222-22-2-2-200002200-20000−2i2i00−2i2i00000000
χ19222222-22-2-2-20000-2-200200002i−2i00−2i2i00000000
χ20222222-22-2-2-20000-2-20020000−2i2i002i−2i00000000
χ2122222-22-22-2-2002200-2000000002i−2i002i−2i000000
χ2222222-22-22-2-2002200-200000000−2i2i00−2i2i000000
χ2322222-22-22-2-200-2-2002000000002i−2i00−2i2i000000
χ2422222-22-22-2-200-2-200200000000−2i2i002i−2i000000
χ252222-222-2-22-22200000-202i−2i2i−2i00000000000000
χ262222-222-2-22-22200000-20−2i2i−2i2i00000000000000
χ272222-222-2-22-2-2-200000202i−2i−2i2i00000000000000
χ282222-222-2-22-2-2-20000020−2i2i2i−2i00000000000000
χ2944444-4-4-4-444000000000000000000000000000
χ304444-44-4-44-44000000000000000000000000000
χ314444-4-444-4-44000000000000000000000000000
χ324444-4-4-4444-4000000000000000000000000000
χ3388-8-8000000000004i−4i000000000000000000000
χ3488-8-800000000000−4i4i000000000000000000000
χ358-88-80000000004-400000000000000000000000
χ368-88-8000000000-4400000000000000000000000
χ378-8-8800000004-40000000000000000000000000
χ388-8-880000000-440000000000000000000000000

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