Finite Group Databasebeta

← Group #176832

Character table — Group #176832

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11-1-1-11-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-111111-1-11-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-11-1-111-111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-11-1-111-11-1-1-1-111111111-1-1
χ9111111111-1-1-1-111111-1-111-1-111-1-11-1-1-1111-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-111111-1-111-1-111-1-11-1-1-1111-1-1-111-1-111-1-111-11
χ11111111111-1-1-1-111111-1-111-1-1-1-111-11-11-1-11111-1-111-1-1-1-111-11
χ12111111111-1-1-1-111111-1-111-1-1-1-111-11-11-1-111-1-111-1-11111-1-11-1
χ13111111111-1-1-1-111111-1-1-1-11111-1-1111-1-1-1-1111-1-1-1-11111-1-1-11
χ14111111111-1-1-1-111111-1-1-1-11111-1-1111-1-1-1-11-1-11111-1-1-1-1111-1
χ15111111111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2-22-22-22222000000-2000-2000000000000000
χ1822222222222-2-2-2-2-22-22-2-2-2-2-200000020002000000000000000
χ19222222222-2-222-2-2-22-2-2222-2-20000002000-2000000000000000
χ20222222222-2-222-2-2-22-2-22-2-222000000-20002000000000000000
χ2122222222-222222-2-2-22-2-200002222-200-2000000000000000000
χ2222222222-222222-2-2-22-2-20000-2-2-2-22002000000000000000000
χ2322222222-222-2-2-222-2-2-220000000002002-20-200000000000000
χ2422222222-222-2-2-222-2-2-22000000000-200-220200000000000000
χ2522222222-2-2-222-222-2-22-2000000000200-220-200000000000000
χ2622222222-2-2-222-222-2-22-2000000000-2002-20200000000000000
χ2722222222-2-2-2-2-22-2-2-2222000022-2-2-2002000000000000000000
χ2822222222-2-2-2-2-22-2-2-22220000-2-222200-2000000000000000000
χ29444-44-4-4-40000004-4000000000000000000000000000022−220000
χ30444-44-4-4-40000004-40000000000000000000000000000−22220000
χ31444-44-4-4-4000000-4400000000000000000000000000000022−2200
χ32444-44-4-4-4000000-44000000000000000000000000000000−222200
χ3344-44-44-4-404-400000000000000000000000002-22-20000000000
χ3444-44-44-4-404-40000000000000000000000000-22-220000000000
χ3544-44-44-4-40-4400000000000000000000000002-2-220000000000
χ3644-44-44-4-40-440000000000000000000000000-222-20000000000
χ374-444-4-4-44000004000-40000004i−4i000000000000000000000000
χ384-444-4-4-44000004000-4000000−4i4i000000000000000000000000
χ394-444-4-4-4400000-40004000000004-40000000000000000000000
χ404-444-4-4-4400000-4000400000000-440000000000000000000000
χ414-4-444-44-440000000-40004-40000000000000000000000000000
χ424-4-444-44-440000000-4000-440000000000000000000000000000
χ434-4-444-44-4-400000004000004i−4i00000000000000000000000000
χ444-4-444-44-4-40000000400000−4i4i00000000000000000000000000
χ454-4-4-444-440004-40000000000000000000000000002-22-2000000
χ464-4-4-444-440004-4000000000000000000000000000-22-22000000
χ474-4-4-444-44000-440000000000000000000000000002-2-22000000
χ484-4-4-444-44000-44000000000000000000000000000-222-2000000
χ4988-8-8-8-888000000000000000000000000000000000000000000
χ508-88-8-888-8000000000000000000000000000000000000000000

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