Finite Group Databasebeta

← Group #508183

Character table — Group #508183

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122222244444488888888888888816161616161616161616323232323232
order12222244444444444444444444444442224444444888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-11111-1-1-1-1-111-11-11-111-1-111-1-1
χ61111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-11111-111-1-11-1111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-11111-1-1
χ9111111-1-1-1-1111111-1-1-111-1-111-1-111-1-111-1-11-1-111-11-11-11-1
χ10111111-1-1-1-1111111-1-1-111-1-111-1-111-1-11-11-11-1-11-11-11-11-11
χ11111111-1-1-1-1111111-1-1-111-1-1-1-111-1-11111-1-1-111-11-11-1-11-11
χ12111111-1-1-1-1111111-1-1-111-1-1-1-111-1-1111-11-1-111-1-11-111-11-1
χ13111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-11-1111-1-11-1-111-1-11
χ14111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-111-1
χ15111111-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-11-11-1-1111-1-11-111-1
χ16111111-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-111-1-111-111-11-1-11
χ1722222222222-2-22-2-22-2-200000000222200000-20-200000000
χ1822222222222-2-22-2-22-2-200000000-2-2-2-20000020200000000
χ192222222222-22-2-22-2-22-20000222200000000-20-2000000000
χ202222222222-22-2-22-2-22-20000-2-2-2-200000000202000000000
χ212222222222-2-22-2-22-2-22222200000000-200-2000000000000
χ222222222222-2-22-2-22-2-22-2-2-2-2000000002002000000000000
χ23222222-2-2-2-22-2-22-2-2-2220000000022-2-20000020-200000000
χ24222222-2-2-2-22-2-22-2-2-22200000000-2-22200000-20200000000
χ25222222-2-2-2-2-22-2-22-22-22000022-2-200000000-202000000000
χ26222222-2-2-2-2-22-2-22-22-220000-2-2220000000020-2000000000
χ27222222-2-2-2-2-2-22-2-2222-222-2-200000000-2002000000000000
χ28222222-2-2-2-2-2-22-2-2222-2-2-22200000000200-2000000000000
χ294444-4-444-4-400000000000000000000002200000-2-2000000
χ304444-4-444-4-40000000000000000000000-2-20000022000000
χ314444-4-4-4-44400000000000000000000002-200000-22000000
χ324444-4-4-4-4440000000000000000000000-22000002-2000000
χ334-44-400004i−4i0000000002i−2i2-22i−2i2-22-22i−2i0000000000000000
χ344-44-400004i−4i0000000002i−2i2-2−2i2i-22-22−2i2i0000000000000000
χ354-44-400004i−4i000000000−2i2i-222i−2i2-2-22−2i2i0000000000000000
χ364-44-400004i−4i000000000−2i2i-22−2i2i-222-22i−2i0000000000000000
χ374-44-40000−4i4i0000000002i−2i-222i−2i-222-2−2i2i0000000000000000
χ384-44-40000−4i4i0000000002i−2i-22−2i2i2-2-222i−2i0000000000000000
χ394-44-40000−4i4i000000000−2i2i2-22i−2i-22-222i−2i0000000000000000
χ404-44-40000−4i4i000000000−2i2i2-2−2i2i2-22-2−2i2i0000000000000000
χ414-4-444-40000444-4-4-40000000000000000000000000000000
χ424-4-444-400004-4-4-4440000000000000000000000000000000
χ434-4-444-40000-44-44-440000000000000000000000000000000
χ444-4-444-40000-4-4444-40000000000000000000000000000000
χ4588-8-8008-8000000000000000000000000000000000000000
χ4688-8-800-88000000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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