Finite Group Databasebeta

← Group #176835

Character table — Group #176835

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442224444488888888888822
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-11-1-1-11-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-111-11-1-1-11-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-111-11-1-1-11-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1
χ91111111111-1-1-1-11111-1-11111-1-1-1-11-111-11-1-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-11111-1-11111-1-1-1-11-111-11-1-1-1-111-1-111-1-111-11
χ111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-11
χ121111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-11-1
χ131111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-11
χ141111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-11111-1-1-1-1-1-11111-11111-1-1-111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-11111-1-1-1-1-1-11111-11111-1-1-1-1-11111-1-111-1-1-11
χ17222222222-222-2-2-2-22-22-222002200-2000-200000000000000000
χ18222222222-222-2-2-2-22-22-2-2-200-2-2002000200000000000000000
χ19222222222-2-2-222-2-22-2-222200-2-200-2000200000000000000000
χ20222222222-2-2-222-2-22-2-22-2-20022002000-200000000000000000
χ2122222222-222222-2-2-22-2-2002200220-2000-20000000000000000
χ2222222222-222222-2-2-22-2-200-2-200-2-20200020000000000000000
χ2322222222-22-2-2-2-2-2-2-2222002200-2-202000-20000000000000000
χ2422222222-22-2-2-2-2-2-2-222200-2-200220-200020000000000000000
χ2522222222-2-222-2-222-2-2-2200000000002-2002-200000000000000
χ2622222222-2-222-2-222-2-2-220000000000-2200-2200000000000000
χ2722222222-2-2-2-22222-2-22-200000000002-200-2200000000000000
χ2822222222-2-2-2-22222-2-22-20000000000-22002-200000000000000
χ29444-4-44-4-440000000-40004i−4i0000000000000000000000000000
χ30444-4-44-4-440000000-4000−4i4i0000000000000000000000000000
χ31444-4-44-4-4-40000000400000004-4000000000000000000000000
χ32444-4-44-4-4-4000000040000000-44000000000000000000000000
χ334-4444-4-4-4040000000-4000000004i−4i0000000000000000000000
χ344-4444-4-4-4040000000-400000000−4i4i0000000000000000000000
χ354-4444-4-4-40-40000000400004-400000000000000000000000000
χ364-4444-4-4-40-4000000040000-4400000000000000000000000000
χ374-44-4-4-444004-40000000000000000000000002-22-20000000000
χ384-44-4-4-444004-4000000000000000000000000-22-220000000000
χ394-44-4-4-44400-440000000000000000000000002-2-220000000000
χ404-44-4-4-44400-44000000000000000000000000-222-20000000000
χ414-4-44-444-400004-4000000000000000000000000002-22-2000000
χ424-4-44-444-400004-400000000000000000000000000-22-22000000
χ434-4-44-444-40000-44000000000000000000000000002-2-22000000
χ444-4-44-444-40000-4400000000000000000000000000-222-2000000
χ454-4-4-444-440000004-400000000000000000000000000000022−2200
χ464-4-4-444-440000004-4000000000000000000000000000000−222200
χ474-4-4-444-44000000-44000000000000000000000000000022−220000
χ484-4-4-444-44000000-440000000000000000000000000000−22220000
χ4988-88-8-8-88000000000000000000000000000000000000000000
χ5088-8-88-88-8000000000000000000000000000000000000000000

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