Finite Group Databasebeta

← Group #326765

Character table — Group #326765

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442224444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111-1-1-1-11111-1-111111-1-1-1-1-11-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-1-11111-11-1-1-1-1-11-1-111-1-11111-1-1-1-111
χ11111111111111-1-1-1-11111-1-111-1-11-1-1-1111-1-1-11111-1-1-1-111-1-111
χ12111111111111-1-1-1-11111-1-111-1-1-11-1-111-1111-1-1-1-111-1-11111-1-1
χ13111111111111-1-1-1-11111-1-1-1-1111-111-1-11-111-1-1-1-111-1-111-1-111
χ14111111111111-1-1-1-11111-1-1-1-111-1111-1-1-11-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-1-11-111111-1-1-111-1-11111-1-111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-111111-1111-1-111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-22-200002-20000-220000000000000000
χ1822222222222222-2-2-2-2-2-22-20000-2200002-20000000000000000
χ19222222222222-2-222-2-2-2-2-220000220000-2-20000000000000000
χ20222222222222-2-222-2-2-2-2-220000-2-20000220000000000000000
χ2122222222-2-2-2-2222222-2-2-2-2002-200002-2000000000000000000
χ2222222222-2-2-2-2222222-2-2-2-200-220000-22000000000000000000
χ2322222222-2-2-2-222-2-2-2-222-220000000000002-22-2000000000000
χ2422222222-2-2-2-222-2-2-2-222-22000000000000-22-22000000000000
χ2522222222-2-2-2-2-2-222-2-2222-20000000000002-2-22000000000000
χ2622222222-2-2-2-2-2-222-2-2222-2000000000000-222-2000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-222002-20000-22000000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22200-2200002-2000000000000000000
χ2944-444-4-4-444-4-400000000000000000000000000000022−22000000
χ3044-444-4-4-444-4-4000000000000000000000000000000−2222000000
χ3144-444-4-4-4-4-444000000000000000000000000000000002i2−2i20000
χ3244-444-4-4-4-4-44400000000000000000000000000000000−2i22i20000
χ334-444-44-4-400004i−4i000000002-200002i−2i00000000000000000000
χ344-444-44-4-400004i−4i00000000-220000−2i2i00000000000000000000
χ354-444-44-4-40000−4i4i000000002-20000−2i2i00000000000000000000
χ364-444-44-4-40000−4i4i00000000-2200002i−2i00000000000000000000
χ374-44-44-44-44-44-40000000000000000000000000000000000002i2−2i2
χ384-44-44-44-44-44-4000000000000000000000000000000000000−2i22i2
χ394-44-44-44-4-44-4400000000000000000000000000000000002i2−2i200
χ404-44-44-44-4-44-440000000000000000000000000000000000−2i22i200
χ414-4-44-4-4440000004-400000000000000000000002-22-200000000
χ424-4-44-4-4440000004-40000000000000000000000-22-2200000000
χ434-4-44-4-444000000-4400000000000000000000002-2-2200000000
χ444-4-44-4-444000000-440000000000000000000000-222-200000000
χ454-4-4-444-444-4-4400004-44-4000000000000000000000000000000
χ464-4-4-444-444-4-440000-44-44000000000000000000000000000000
χ474-4-4-444-44-444-400004-4-44000000000000000000000000000000
χ484-4-4-444-44-444-40000-444-4000000000000000000000000000000
χ49888-8-8-8-88000000000000000000000000000000000000000000
χ5088-8-8-888-8000000000000000000000000000000000000000000

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