Finite Group Databasebeta

← Group #508111

Character table — Group #508111

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size112224444444488816161616161616161616161616161616323232323232
order12244222444444442244444444888888444888
χ111111111111111111111111111111111111111
χ211111111111111111111-1-111-1-1-1-111-1-11-1-11-1-1
χ311111111111111111-11-111111111-1-111-1-1-1-1-1-1
χ411111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-111-111
χ51111111111111111-11-1111-1-111-1-111-1-1-11-1-11-1
χ61111111111111111-11-11-1-1-1-1-1-1111111-1-11-1-11
χ71111111111111111-1-1-1-111-1-111-1-1-1-1-1-11-111-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-111-1
χ911111111-1-1111-1-1-111-111-11-11-11-1-1-11-1111-1-1-1
χ1011111111-1-1111-1-1-111-11-111-1-11-11-1-1-111-1-1-111
χ1111111111-1-1111-1-1-11-1-1-11-11-11-11-1111-1-1-1-1111
χ1211111111-1-1111-1-1-11-1-1-1-111-1-11-1111-11-1111-1-1
χ1311111111-1-1111-1-1-1-11111-1-111-1-11-1-1-11-11-11-11
χ1411111111-1-1111-1-1-1-1111-11-11-111-1-1-11-1-1-1111-1
χ1511111111-1-1111-1-1-1-1-11-11-1-111-1-1111-111-11-11-1
χ1611111111-1-1111-1-1-1-1-11-1-11-11-111-1111-111-1-1-11
χ17222222-2-2222-2-22-2-200000000002-200-22000000
χ18222222-2-2222-2-22-2-20000000000-22002-2000000
χ19222222-2-2-2-22-2-2-22200000000002200-2-2000000
χ20222222-2-2-2-22-2-2-2220000000000-2-20022000000
χ2122222-22-222-22-2-22-200002-200-22000000000000
χ2222222-22-222-22-2-22-20000-22002-2000000000000
χ2322222-22-2-2-2-22-22-2200002200-2-2000000000000
χ2422222-22-2-2-2-22-22-220000-2-20022000000000000
χ2522222-2-2222-2-22-2-2220-2000-2200000000000000
χ2622222-2-2222-2-22-2-22-2020002-200000000000000
χ2722222-2-22-2-2-2-2222-2202000-2-200000000000000
χ2822222-2-22-2-2-2-2222-2-20-20002200000000000000
χ29444-4-444-400-4-440000000000000000000000000
χ30444-4-44-4400-44-40000000000000000000000000
χ31444-4-4-444004-4-40000000000000000000000000
χ32444-4-4-4-4-4004440000000000000000000000000
χ3344-44-40004i−4i000000020-2000000002i−2i00000000
χ3444-44-40004i−4i0000000-20200000000−2i2i00000000
χ3544-44-4000−4i4i000000020-200000000−2i2i00000000
χ3644-44-4000−4i4i0000000-202000000002i−2i00000000
χ3788-8-88000000000000000000000000000000000
χ3816-16000000000000000000000000000000000000

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