Finite Group Databasebeta

← Group #175877

Character table — Group #175877

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222224444444444444422222224444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1
χ51111111111111111111-1-1-1-11-111111-11-1-11-11-11111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-1-1-11-11111-11-11-1-11-11-1-1-1-11111-1-1-1-1
χ71111111111111111111-1-1-1-11-1-1-1-1-11-11-1-11-11-1-1-1-1-111111111
χ81111111111111111111-1-1-1-11-1-1-1-1-1-11-11-1-11-111111-1-1-1-11111
χ911111111-1-11-1-111111-111-1-1-1111-1-11-111-1-1-1-1111-1-111-1-111-1-1
χ1011111111-1-11-1-111111-111-1-1-1111-1-1-11-1-1-1111-1-1-111-1-11111-1-1
χ1111111111-1-11-1-111111-111-1-1-11-1-1111-111-1-1-1-11-1-111-1-111-1-111
χ1211111111-1-11-1-111111-111-1-1-11-1-111-11-1-1-1111-111-1-111-1-1-1-111
χ1311111111-1-11-1-111111-1-1-111-1-111-1-1111-11-11-1-111-1-1-1-111-1-111
χ1411111111-1-11-1-111111-1-1-111-1-111-1-1-1-1-1111-111-1-11111-1-1-1-111
χ1511111111-1-11-1-111111-1-1-111-1-1-1-111111-11-11-1-1-1-11111-1-111-1-1
χ1611111111-1-11-1-111111-1-1-111-1-1-1-111-1-1-1111-11111-1-1-1-11111-1-1
χ1722222222222-2-2-2-2-2-22222-2-2-2-20000000020000000000000000
χ1822222222222-2-2-2-2-2-222-2-222-2200000000-20000000000000000
χ192222222222-22222-2-2-2-20000-20000020-200-2020000000000000
χ202222222222-22222-2-2-2-20000-200000-2020020-20000000000000
χ212222222222-2-2-2-2-222-2-20000200000020200-20-2000000000000
χ222222222222-2-2-2-2-222-2-200002000000-20-200202000000000000
χ2322222222-2-2222-2-2-2-22-222222-200000000-20000000000000000
χ2422222222-2-2222-2-2-2-22-2-2-2-2-2220000000020000000000000000
χ2522222222-2-2-222-2-222-220000-200000020-200-202000000000000
χ2622222222-2-2-222-2-222-220000-2000000-2020020-2000000000000
χ2722222222-2-2-2-2-222-2-2-22000020000020-20020-20000000000000
χ2822222222-2-2-2-2-222-2-2-220000200000-20200-2020000000000000
χ29444-44-4-4-4004000000-404i−4i00000000000000000000000000000
χ30444-44-4-4-4004000000-40−4i4i00000000000000000000000000000
χ31444-44-4-4-400-400000040004-4000000000000000000000000000
χ32444-44-4-4-400-40000004000-44000000000000000000000000000
χ3344-4-4-44-440004-40000000000002-22-2000000000000000000000
χ3444-4-4-44-440004-4000000000000-22-22000000000000000000000
χ3544-4-4-44-44000-440000000000002-2-22000000000000000000000
χ3644-4-4-44-44000-44000000000000-222-2000000000000000000000
χ374-44-4-4-44400000004-40000000000000000000000022−2200000000
χ384-44-4-4-44400000004-400000000000000000000000−222200000000
χ394-44-4-4-4440000000-4400000000000000000000022−220000000000
χ404-44-4-4-4440000000-44000000000000000000000−22220000000000
χ414-4-444-4-444-4000000000000000000000000000000002-22-20000
χ424-4-444-4-444-400000000000000000000000000000000-22-220000
χ434-4-444-4-44-44000000000000000000000000000000002-2-220000
χ444-4-444-4-44-4400000000000000000000000000000000-222-20000
χ454-4-4-4444-4000004-400000000000000000000000000000000022−22
χ464-4-4-4444-4000004-4000000000000000000000000000000000−2222
χ474-4-4-4444-400000-44000000000000000000000000000000022−2200
χ484-4-4-4444-400000-440000000000000000000000000000000−222200
χ4988-88-8-88-8000000000000000000000000000000000000000000
χ508-888-88-8-8000000000000000000000000000000000000000000

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