Finite Group Databasebeta

← Group #508239

Character table — Group #508239

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122222244444488888888888888816161616161616161616323232323232
order12222244444444444444444444444442444444444888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-11111-1-1-1-1-1-11-1111-111-1-111-1-1
χ61111111111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-11-1-1-111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-11111-1-1-1111-1111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-11111-1-1-11-1-1-11-1-11111-1-1
χ9111111-1-1-1-1111111-1-1-111-1-111-1-111-1-11-11-11-1-111-11-11-11-1
χ10111111-1-1-1-1111111-1-1-111-1-111-1-111-1-11-11-1-11-11-11-11-11-11
χ11111111-1-1-1-1111111-1-1-111-1-1-1-111-1-1111-1-111-11-11-11-1-11-11
χ12111111-1-1-1-1111111-1-1-111-1-1-1-111-1-1111-1-11-111-1-11-111-11-1
χ13111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-11111-1-1-11-1-111-1-11
χ14111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-1111-11-1-1-111-1-111-1
χ15111111-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-11-1-11-1111-1-11-111-1
χ16111111-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-11-1-1-1111-111-11-1-11
χ1722222222222-2-22-2-22-2-2000000002222000-2000-200000000
χ1822222222222-2-22-2-22-2-200000000-2-2-2-20002000200000000
χ192222222222-22-2-22-2-22-200002222000000-2000-2000000000
χ202222222222-22-2-22-2-22-20000-2-2-2-200000020002000000000
χ212222222222-2-22-2-22-2-22222200000000-2-200000000000000
χ222222222222-2-22-2-22-2-22-2-2-2-2000000002200000000000000
χ23222222-2-2-2-22-2-22-2-2-2220000000022-2-20002000-200000000
χ24222222-2-2-2-22-2-22-2-2-22200000000-2-222000-2000200000000
χ25222222-2-2-2-2-22-2-22-22-22000022-2-2000000-20002000000000
χ26222222-2-2-2-2-22-2-22-22-220000-2-2220000002000-2000000000
χ27222222-2-2-2-2-2-22-2-2222-222-2-200000000-2200000000000000
χ28222222-2-2-2-2-2-22-2-2222-2-2-222000000002-200000000000000
χ294444-4-444-4-400000000000000000000000002200-2-2000000
χ304444-4-444-4-40000000000000000000000000-2-20022000000
χ314444-4-4-4-44400000000000000000000000002-200-22000000
χ324444-4-4-4-4440000000000000000000000000-22002-2000000
χ3344-4-44-4000044-4-4-440000000000000000000000000000000
χ3444-4-44-400004-44-44-40000000000000000000000000000000
χ3544-4-44-40000-4444-4-40000000000000000000000000000000
χ3644-4-44-40000-4-4-44440000000000000000000000000000000
χ374-4-4400004i−4i0000000002i−2i2-22-22i−2i2i−2i2-20000000000000000
χ384-4-4400004i−4i0000000002i−2i2-2-22−2i2i−2i2i-220000000000000000
χ394-4-4400004i−4i000000000−2i2i-222-22i−2i−2i2i-220000000000000000
χ404-4-4400004i−4i000000000−2i2i-22-22−2i2i2i−2i2-20000000000000000
χ414-4-440000−4i4i0000000002i−2i-222-2−2i2i2i−2i-220000000000000000
χ424-4-440000−4i4i0000000002i−2i-22-222i−2i−2i2i2-20000000000000000
χ434-4-440000−4i4i000000000−2i2i2-22-2−2i2i−2i2i2-20000000000000000
χ444-4-440000−4i4i000000000−2i2i2-2-222i−2i2i−2i-220000000000000000
χ4588-8-8-8800000000000000000000000000000000000000000
χ468-88-8008-8000000000000000000000000000000000000000
χ478-88-800-88000000000000000000000000000000000000000

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