Finite Group Databasebeta

← Group #326774

Character table — Group #326774

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ9111111111111-1-1-1-11111-1-1111-1-1111-1-111-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-1-1111-1-1-1-11-1-111-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-1-11-1-111111-1-1-1-111-1-1-1-11111-1-1-1-111
χ12111111111111-1-1-1-11111-1-11-1-111-1-11-1-1-1-1111111-1-1-1-11111-1-1
χ13111111111111-1-1-1-11111-1-1-111-1-111-111-1-111-1-111-1-1-1-111-1-111
χ14111111111111-1-1-1-11111-1-1-111-1-1-1-1-111-1-11111-1-11111-1-111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-11111-11111-1-1-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-22-202-22-200000000000000000000000
χ1822222222222222-2-2-2-2-2-22-20-22-2200000000000000000000000
χ19222222222222-2-222-2-2-2-2-2202-2-2200000000000000000000000
χ20222222222222-2-222-2-2-2-2-220-222-200000000000000000000000
χ2122222222-2-2-2-2222222-2-2-2-200000000002-22-200000000000000
χ2222222222-2-2-2-2222222-2-2-2-20000000000-22-2200000000000000
χ2322222222-2-2-2-222-2-2-2-222-222000000-22-2000000000000000000
χ2422222222-2-2-2-222-2-2-2-222-22-20000002-22000000000000000000
χ2522222222-2-2-2-2-2-222-2-2222-22000000-2-22000000000000000000
χ2622222222-2-2-2-2-2-222-2-2222-2-200000022-2000000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-22200000000002-2-2200000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-2220000000000-222-200000000000000
χ29444-4-44-4-444-4-40000000000000000000000000000000022−220000
χ30444-4-44-4-444-4-400000000000000000000000000000000−22220000
χ31444-4-44-4-4-4-4440000000000000000000000000000002i2−2i2000000
χ32444-4-44-4-4-4-444000000000000000000000000000000−2i22i2000000
χ3344-4-44-44-40000004i−4i000000000002-200000002i−2i000000000000
χ3444-4-44-44-40000004i−4i00000000000-220000000−2i2i000000000000
χ3544-4-44-44-4000000−4i4i000000000002-20000000−2i2i000000000000
χ3644-4-44-44-4000000−4i4i00000000000-2200000002i−2i000000000000
χ374-44-44-4-4400004i−4i0000000000000000000000002i−2i2-200000000
χ384-44-44-4-4400004i−4i000000000000000000000000−2i2i-2200000000
χ394-44-44-4-440000−4i4i0000000000000000000000002i−2i-2200000000
χ404-44-44-4-440000−4i4i000000000000000000000000−2i2i2-200000000
χ414-4-4444-4-44-44-40000000000000000000000000000000000002i2−2i2
χ424-4-4444-4-44-44-4000000000000000000000000000000000000−2i22i2
χ434-4-4444-4-4-44-4400000000000000000000000000000000002i2−2i200
χ444-4-4444-4-4-44-440000000000000000000000000000000000−2i22i200
χ454-4-4-4-44444-4-4400004-44-4000000000000000000000000000000
χ464-4-4-4-44444-4-440000-44-44000000000000000000000000000000
χ474-4-4-4-4444-444-400004-4-44000000000000000000000000000000
χ484-4-4-4-4444-444-40000-444-4000000000000000000000000000000
χ4988-88-8-8-88000000000000000000000000000000000000000000
χ508-888-8-88-8000000000000000000000000000000000000000000

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