Finite Group Databasebeta

← Group #326752

Character table — Group #326752

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222222444444242444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ9111111111111-1-1-1-11111-1-1111-11-111-1-111-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-1-1111-11-1-1-1-1-111-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-1-111-11-1111-1-1-1-111-1-1-1-11111-1-1-1-111
χ12111111111111-1-1-1-11111-1-111-11-11-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ13111111111111-1-1-1-11111-1-1-1-11-11-11111-1-111-1-111-1-1-1-111-1-111
χ14111111111111-1-1-1-11111-1-1-1-11-11-1-1-111-1-11111-1-11111-1-111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-11-11111111-1-1-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-11-11-1-11111-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-22-2002-2-220000000000000000000000
χ1822222222222222-2-2-2-2-2-22-200-222-20000000000000000000000
χ19222222222222-2-222-2-2-2-2-220022-2-20000000000000000000000
χ20222222222222-2-222-2-2-2-2-2200-2-2220000000000000000000000
χ2122222222-2-2-2-2222222-2-2-2-200000000002-22-200000000000000
χ2222222222-2-2-2-2222222-2-2-2-20000000000-22-2200000000000000
χ2322222222-2-2-2-222-2-2-2-222-222-20000002-2000000000000000000
χ2422222222-2-2-2-222-2-2-2-222-22-22000000-22000000000000000000
χ2522222222-2-2-2-2-2-222-2-2222-22-2000000-22000000000000000000
χ2622222222-2-2-2-2-2-222-2-2222-2-220000002-2000000000000000000
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
χ2944-444-4-4-44-44-4000000000000000000000000000000000022−2200
χ3044-444-4-4-44-44-40000000000000000000000000000000000−222200
χ3144-444-4-4-4-44-4400000000000000000000000000000000000022−22
χ3244-444-4-4-4-44-44000000000000000000000000000000000000−2222
χ334-444-44-4-444-4-400000000000000000000000000000022−22000000
χ344-444-44-4-444-4-4000000000000000000000000000000−2222000000
χ354-444-44-4-4-4-444000000000000000000000000000000002i2−2i20000
χ364-444-44-4-4-4-44400000000000000000000000000000000−2i22i20000
χ374-44-44-44-40000004-40000000000002i−2i0000002i−2i000000000000
χ384-44-44-44-40000004-4000000000000−2i2i000000−2i2i000000000000
χ394-44-44-44-4000000-440000000000002i−2i000000−2i2i000000000000
χ404-44-44-44-4000000-44000000000000−2i2i0000002i−2i000000000000
χ414-4-44-4-4444-4-4400004-44-4000000000000000000000000000000
χ424-4-44-4-4444-4-440000-44-44000000000000000000000000000000
χ434-4-44-4-444-444-400004-4-44000000000000000000000000000000
χ444-4-44-4-444-444-40000-444-4000000000000000000000000000000
χ454-4-4-444-4400004-40000000000000000000000002-22-200000000
χ464-4-4-444-4400004-4000000000000000000000000-22-2200000000
χ474-4-4-444-440000-440000000000000000000000002-2-2200000000
χ484-4-4-444-440000-44000000000000000000000000-222-200000000
χ49888-8-8-8-88000000000000000000000000000000000000000000
χ5088-8-8-888-8000000000000000000000000000000000000000000

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