Finite Group Databasebeta

← Group #327234

Character table — Group #327234

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222222444444242224444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-111-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1
χ51111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-1-1-11-1-11-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111
χ9111111111111-1-1-1-11111-1-1111-1-1-111-1-111-1-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-1-1111-1-1-1-1-1111-11-1-11-1-11111-1-1-1-111
χ11111111111111-1-1-1-11111-1-111-11-1-111-1-1-1-111-11-1-111-1-11111-1-1
χ12111111111111-1-1-1-11111-1-111-11-1-1-1-111-11-111-111-1-1-1-111-1-111
χ13111111111111-1-1-1-11111-1-1-1-11-11111-1-111-1-11-1-1-111-1-111-1-111
χ14111111111111-1-1-1-11111-1-1-1-11-111-1-1111-11-1-1111-1-1-1-11111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1111-1-111-1-1-1-111
χ16111111111111-1-1-1-11111-1-1-1-1-1111-1-111-11-111-1-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-22-2000000000002-20-22000000000000
χ1822222222222222-2-2-2-2-2-22-200000000000-2202-2000000000000
χ19222222222222-2-222-2-2-2-2-2200000000000220-2-2000000000000
χ20222222222222-2-222-2-2-2-2-2200000000000-2-2022000000000000
χ2122222222-2-2-2-2222222-2-2-2-20000002-22-2000000000000000000
χ2222222222-2-2-2-2222222-2-2-2-2000000-22-22000000000000000000
χ2322222222-2-2-2-222-2-2-2-222-220022000000-200-200000000000000
χ2422222222-2-2-2-222-2-2-2-222-2200-2-2000000200200000000000000
χ2522222222-2-2-2-2-2-222-2-2222-2002-2000000-200200000000000000
χ2622222222-2-2-2-2-2-222-2-2222-200-22000000200-200000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2220000002-2-22000000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-222000000-222-2000000000000000000
χ2944-44-4-44-44-44-40000000000000000000000000000000000002i2−2i2
χ3044-44-4-44-44-44-4000000000000000000000000000000000000−2i22i2
χ3144-44-4-44-4-44-4400000000000000000000000000000000002i2−2i200
χ3244-44-4-44-4-44-440000000000000000000000000000000000−2i22i200
χ334-4444-4-4-400004-40000000000000000000000002i−2i2i−2i00000000
χ344-4444-4-4-400004-4000000000000000000000000−2i2i−2i2i00000000
χ354-4444-4-4-40000-440000000000000000000000002i−2i−2i2i00000000
χ364-4444-4-4-40000-44000000000000000000000000−2i2i2i−2i00000000
χ374-44-4-4-4444-4-4400004-44-4000000000000000000000000000000
χ384-44-4-4-4444-4-440000-44-44000000000000000000000000000000
χ394-44-4-4-444-444-400004-4-44000000000000000000000000000000
χ404-44-4-4-444-444-40000-444-4000000000000000000000000000000
χ414-4-44-44-440000004-40000002-2002-20000000000000000000000
χ424-4-44-44-440000004-4000000-2200-220000000000000000000000
χ434-4-44-44-44000000-440000002-200-220000000000000000000000
χ444-4-44-44-44000000-44000000-22002-20000000000000000000000
χ454-4-4-4444-444-4-4000000000000000000000000000000002i2−2i20000
χ464-4-4-4444-444-4-400000000000000000000000000000000−2i22i20000
χ474-4-4-4444-4-4-44400000000000000000000000000000022−22000000
χ484-4-4-4444-4-4-444000000000000000000000000000000−2222000000
χ49888-8-88-8-8000000000000000000000000000000000000000000
χ5088-8-88-8-88000000000000000000000000000000000000000000

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