Finite Group Databasebeta

← Group #175566

Character table — Group #175566

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444424444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-11-111-1-1-11111-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-1-1-11-111-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111111111-1-1-1-11-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-11-1-1-111-1-1-1-1-111-1-111111111-1-1-1-1
χ911111111-1-11-1-111111-111-1-1-111-11-1-1111-11-1-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-111111-111-1-1-111-11-1-1-1-11-11-111-1-111-1-111-1-111
χ1111111111-1-11-1-111111-111-1-1-11-11-11-111-11-11-1-111-1-1-1-111-1-111
χ1211111111-1-11-1-111111-111-1-1-11-11-11-1-1-1-11-1111-1-11111-1-111-1-1
χ1311111111-1-11-1-111111-1-1-111-1-11-1-111111-1-11-1-1-1-11111-1-1-1-111
χ1411111111-1-11-1-111111-1-1-111-1-11-1-111-1-11-1-111111-1-1-1-11111-1-1
χ1511111111-1-11-1-111111-1-1-111-1-1-111-1111-111-1-1-1-1-111-1-11111-1-1
χ1611111111-1-11-1-111111-1-1-111-1-1-111-11-1-1-111-11111-1-111-1-1-1-111
χ172222222222222-2-2-2-22-20000-20002200000-2-200000000000000
χ182222222222222-2-2-2-22-20000-2000-2-2000002200000000000000
χ192222222222-2-2-222-2-2-220000-202-200000-220000000000000000
χ202222222222-2-2-222-2-2-220000-20-22000002-20000000000000000
χ212222222222-2-2-2-2-222-2-222-2-22-20000200000000000000000000
χ222222222222-2-2-2-2-222-2-2-2-222220000-200000000000000000000
χ2322222222-2-22-2-2-2-2-2-222000020002-200000-2200000000000000
χ2422222222-2-22-2-2-2-2-2-22200002000-22000002-200000000000000
χ2522222222-2-2-22222-2-2-2-20000202200000-2-20000000000000000
χ2622222222-2-2-22222-2-2-2-2000020-2-200000220000000000000000
χ2722222222-2-2-222-2-222-222222-2-20000-200000000000000000000
χ2822222222-2-2-222-2-222-22-2-2-2-2-220000200000000000000000000
χ2944-444-4-4-4000004-4000000000000000000000000000000022−2200
χ3044-444-4-4-4000004-40000000000000000000000000000000−222200
χ3144-444-4-4-400000-4400000000000000000000000000000000022−22
χ3244-444-4-4-400000-44000000000000000000000000000000000−2222
χ3344-4-4-444-4004000000-4000000000000000000000022−2200000000
χ3444-4-4-444-4004000000-40000000000000000000000−222200000000
χ3544-4-4-444-400-40000004000000000000000000002i2−2i20000000000
χ3644-4-4-444-400-4000000400000000000000000000−2i22i20000000000
χ374-444-44-4-44-4000000000000000000000000000000002-22-20000
χ384-444-44-4-44-400000000000000000000000000000000-22-220000
χ394-444-44-4-4-44000000000000000000000000000000002-2-220000
χ404-444-44-4-4-4400000000000000000000000000000000-222-20000
χ414-4-44-4-4440004-4000000000000000002-200002-2000000000000
χ424-4-44-4-4440004-400000000000000000-220000-22000000000000
χ434-4-44-4-444000-44000000000000000002-20000-22000000000000
χ444-4-44-4-444000-4400000000000000000-2200002-2000000000000
χ454-4-4-444-4400000004-400004-4000000000000000000000000000
χ464-4-4-444-4400000004-40000-44000000000000000000000000000
χ474-4-4-444-440000000-44004-400000000000000000000000000000
χ484-4-4-444-440000000-4400-4400000000000000000000000000000
χ49888-8-8-8-88000000000000000000000000000000000000000000
χ508-88-88-88-8000000000000000000000000000000000000000000

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