Finite Group Databasebeta

← Group #327900

Character table — Group #327900

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442244444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1
χ9111111111111-1-1-1-11111-1-111-1-111-11-11-1-11-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-1-111-1-111-1-11-11-1-11-11-1-11111-1-1-1-111
χ11111111111111-1-1-1-11111-1-111-1-1-1-111-1-1111-1-1111-1-1-1-111-1-111
χ12111111111111-1-1-1-11111-1-111-1-1-1-11-111-11-111-1-1-111-1-11111-1-1
χ13111111111111-1-1-1-11111-1-1-1-11111-11-11-1-11-11-1-1-111-1-111-1-111
χ14111111111111-1-1-1-11111-1-1-1-11111-1-11-11-1-11-1111-1-1-1-11111-1-1
χ15111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111-1-11-1-11111-1-111-1-1
χ16111111111111-1-1-1-11111-1-1-1-111-1-11-111-11-111-111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-22-2000000022000-2-200000000000000
χ1822222222222222-2-2-2-2-2-22-20000000-2-20002200000000000000
χ19222222222222-2-222-2-2-2-2-2200000002-2000-2200000000000000
χ20222222222222-2-222-2-2-2-2-220000000-220002-200000000000000
χ2122222222-2-2-2-2222222-2-2-2-200002-220000-20000000000000000
χ2222222222-2-2-2-2222222-2-2-2-20000-22-2000020000000000000000
χ2322222222-2-2-2-222-2-2-2-222-2200000000022000-2-2000000000000
χ2422222222-2-2-2-222-2-2-2-222-22000000000-2-200022000000000000
χ2522222222-2-2-2-2-2-222-2-2222-20000000002-2000-22000000000000
χ2622222222-2-2-2-2-2-222-2-2222-2000000000-220002-2000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-22200002-2-2000020000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-2220000-2220000-20000000000000000
χ294444-4-4-4-44-44-400004-44-4000000000000000000000000000000
χ304444-4-4-4-44-44-40000-44-44000000000000000000000000000000
χ314444-4-4-4-4-44-4400004-4-44000000000000000000000000000000
χ324444-4-4-4-4-44-440000-444-4000000000000000000000000000000
χ3344-4-444-4-40000004i−4i0000002-22i−2i000000000000000000000000
χ3444-4-444-4-40000004i−4i000000-22−2i2i000000000000000000000000
χ3544-4-444-4-4000000−4i4i0000002-2−2i2i000000000000000000000000
χ3644-4-444-4-4000000−4i4i000000-222i−2i000000000000000000000000
χ374-44-44-44-400004-40000000000000000000000002i−2i2i−2i00000000
χ384-44-44-44-400004-4000000000000000000000000−2i2i−2i2i00000000
χ394-44-44-44-40000-440000000000000000000000002i−2i−2i2i00000000
χ404-44-44-44-40000-44000000000000000000000000−2i2i2i−2i00000000
χ414-4-444-4-4444-4-40000000000000000000000000000002i2−2i2000000
χ424-4-444-4-4444-4-4000000000000000000000000000000−2i22i2000000
χ434-4-444-4-44-4-4440000000000000000000000000000000022−220000
χ444-4-444-4-44-4-44400000000000000000000000000000000−22220000
χ454-4-44-444-44-4-4400000000000000000000000000000000002i2−2i200
χ464-4-44-444-44-4-440000000000000000000000000000000000−2i22i200
χ474-4-44-444-4-444-40000000000000000000000000000000000002i2−2i2
χ484-4-44-444-4-444-4000000000000000000000000000000000000−2i22i2
χ4988-8-8-8-888000000000000000000000000000000000000000000
χ508-88-8-88-88000000000000000000000000000000000000000000

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