Finite Group Databasebeta

← Group #508147

Character table — Group #508147

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122222244444488888888888888816161616161616161616323232323232
order12222222224444444444444444444442444444444888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-111-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-11111-1-1-1-11-1-11111-1-11-1-111-1-1
χ61111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1
χ911111-1-1-1-11111111-1-1-111-1-111-1-111-1-111-1-111-11-1-11-11-11-1
χ1011111-1-1-1-11111111-1-1-111-1-111-1-111-1-1-11-11-11-11-11-11-11-11
χ1111111-1-1-1-11111111-1-1-111-1-1-1-111-1-11111-1-11-11-11-11-1-11-11
χ1211111-1-1-1-11111111-1-1-111-1-1-1-111-1-111-11-11-1-11-111-111-11-1
χ1311111-1-1-1-11111111-1-1-1-1-11111-1-1-1-1111-11-111-1-11-1-111-1-11
χ1411111-1-1-1-11111111-1-1-1-1-11111-1-1-1-111-1-111-11-1-1111-1-111-1
χ1511111-1-1-1-11111111-1-1-1-1-111-1-11111-1-11-11-11-111-1-1-11-111-1
χ1611111-1-1-1-11111111-1-1-1-1-111-1-11111-1-1-1-111-1-111-111-11-1-11
χ17222222222222-2-2-2-22-2-20000000022220000000-2-20000000
χ18222222222222-2-2-2-22-2-200000000-2-2-2-20000000220000000
χ192222222222-2-222-2-2-22-200002222000000000-2-2000000000
χ202222222222-2-222-2-2-22-20000-2-2-2-200000000022000000000
χ212222222222-2-2-2-222-2-222222000000000-2-20000000000000
χ222222222222-2-2-2-222-2-22-2-2-2-2000000000220000000000000
χ2322222-2-2-2-2222-2-2-2-2-2220000000022-2-20000000-220000000
χ2422222-2-2-2-2222-2-2-2-2-22200000000-2-22200000002-20000000
χ2522222-2-2-2-22-2-222-2-22-22000022-2-2000000000-22000000000
χ2622222-2-2-2-22-2-222-2-22-220000-2-2220000000002-2000000000
χ2722222-2-2-2-22-2-2-2-22222-222-2-2000000000-220000000000000
χ2822222-2-2-2-22-2-2-2-22222-2-2-2220000000002-20000000000000
χ294444-444-4-4-40000000000000000000002002-20000-2000000
χ304444-444-4-4-4000000000000000000000-200-2200002000000
χ314444-4-4-444-4000000000000000000000200-2-200002000000
χ324444-4-4-444-4000000000000000000000-200220000-2000000
χ334-44-440000-44-44-44-40000000000000000000000000000000
χ344-44-440000-44-4-44-440000000000000000000000000000000
χ354-44-440000-4-444-4-440000000000000000000000000000000
χ364-44-440000-4-44-444-40000000000000000000000000000000
χ374-4-440004-400000000002-22-22i−2i2i−2i2i−2i2i−2i0000000000000000
χ384-4-440004-400000000002-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000
χ394-4-440004-40000000000-22-222i−2i2i−2i−2i2i−2i2i0000000000000000
χ404-4-440004-40000000000-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000
χ414-4-44000-4400000000002-2-222i−2i−2i2i2i−2i−2i2i0000000000000000
χ424-4-44000-4400000000002-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000
χ434-4-44000-440000000000-222-22i−2i−2i2i−2i2i2i−2i0000000000000000
χ444-4-44000-440000000000-222-2−2i2i2i−2i2i−2i−2i2i0000000000000000
χ4588-8-808-80000000000000000000000000000000000000000
χ4688-8-80-880000000000000000000000000000000000000000
χ478-88-8-8000080000000000000000000000000000000000000

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