Finite Group Databasebeta

← Group #175853

Character table — Group #175853

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222224444444422444422222244444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-11-1-1111111-11-1-1-11-11-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-11-1-111111-11-11-1-1-11-11-1-1-1-11111-1-1-1-1
χ7111111111111111111-1-11-1-11-1-1-1-11-11-1-1-11-11-1-1-1-1-111111111
χ8111111111111111111-1-11-1-11-1-1-1-1-11-11-1-1-11-111111-1-1-1-11111
χ911111111-1-11-1-11111111-1-1-1-111-1-1111-11-1-11-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-11111111-1-1-1-111-1-1-1-1-111-11-111-1-111-1-11111-1-1
χ1111111111-1-11-1-11111111-1-1-1-1-1-111111-11-1-11-1-1-1-111-1-111-1-111
χ1211111111-1-11-1-11111111-1-1-1-1-1-111-1-1-111-11-11111-1-111-1-1-1-111
χ1311111111-1-11-1-111111-1-1-111-111-1-11-111-11-1-1-1111-1-1-1-111-1-111
χ1411111111-1-11-1-111111-1-1-111-111-1-1-11-1-1-11111-1-1-11111-1-1-1-111
χ1511111111-1-11-1-111111-1-1-111-1-1-1111-111-11-1-1-11-1-11111-1-111-1-1
χ1611111111-1-11-1-111111-1-1-111-1-1-111-11-1-1-11111-111-1-1-1-11111-1-1
χ1722222222222-2-2-2-2-2-22222-2-2-200000000-220000000000000000
χ1822222222222-2-2-2-2-2-22-2-2222-2000000002-20000000000000000
χ192222222222-22222-2-2-200-200-2000020-2000-2020000000000000
χ202222222222-22222-2-2-200-200-20000-20200020-20000000000000
χ212222222222-2-2-2-2-222-200-200200000202000-20-2000000000000
χ222222222222-2-2-2-2-222-200-200200000-20-2000202000000000000
χ2322222222-2-2222-2-2-2-2222-222200000000-2-20000000000000000
χ2422222222-2-2222-2-2-2-22-2-2-2-2-2200000000220000000000000000
χ2522222222-2-2-222-2-222-200200-20000020-2000-202000000000000
χ2622222222-2-2-222-2-222-200200-200000-20200020-2000000000000
χ2722222222-2-2-2-2-222-2-2-2002002000020-200020-20000000000000
χ2822222222-2-2-2-2-222-2-2-20020020000-202000-2020000000000000
χ29444-44-4-4-4004000000-40004i−4i000000000000000000000000000
χ30444-44-4-4-4004000000-4000−4i4i000000000000000000000000000
χ31444-44-4-4-400-400000044-4000000000000000000000000000000
χ32444-44-4-4-400-40000004-44000000000000000000000000000000
χ3344-4-4-44-440004-4000000000002-22-20000000000000000000000
χ3444-4-4-44-440004-400000000000-22-220000000000000000000000
χ3544-4-4-44-44000-44000000000002-2-220000000000000000000000
χ3644-4-4-44-44000-4400000000000-222-20000000000000000000000
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
χ454-4-4-4444-4000004-4000000000000000000000000000000022−2200
χ464-4-4-4444-4000004-40000000000000000000000000000000−222200
χ474-4-4-4444-400000-4400000000000000000000000000000000022−22
χ484-4-4-4444-400000-44000000000000000000000000000000000−2222
χ4988-88-8-88-8000000000000000000000000000000000000000000
χ508-888-88-8-8000000000000000000000000000000000000000000

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