Finite Group Databasebeta

← Group #175997

Character table — Group #175997

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1-11-1-1111-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-111-1-111-1-11-111-111111-1-1-1-1-1-1-1-1
χ711111111111111111111-1-1-1-1-1-111-1-1-11-1-1-1-11-111111111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-11-1-1-1-111111111
χ9111111111-1-11-1-11111-1-111-1-1111-11-1-1-111-1-11-111-1-111-1-111-1-1
χ10111111111-1-11-1-11111-1-111-1-111-11-11-11-11-1-1-11-1-11111-1-1-1-111
χ11111111111-1-11-1-11111-1-111-1-1-1-11-11-1-1-111111-1-1-111-1-111-1-111
χ12111111111-1-11-1-11111-1-111-1-1-1-1-11-11-11-1111-1111-1-1-1-11111-1-1
χ13111111111-1-11-1-11111-1-1-1-111111-1-111-1-1-1-1-111-1-111-1-11111-1-1
χ14111111111-1-11-1-11111-1-1-1-11111-111-1111-1-1-1-1-111-1-1-1-111-1-111
χ15111111111-1-11-1-11111-1-1-1-111-1-11-1-111-1-1-1111111-1-111-1-1-1-111
χ16111111111-1-11-1-11111-1-1-1-111-1-1-111-1111-111-1-1-1-11111-1-111-1-1
χ1722222222222-2-2-2-2-22-2-222222000000-200-20000000000000000
χ1822222222222-2-2-2-2-22-2-22-2-2-2-200000020020000000000000000
χ19222222222-2-2-222-2-22-22-222-2-2000000200-20000000000000000
χ20222222222-2-2-222-2-22-22-2-2-222000000-20020000000000000000
χ2122222222-2222-2-2-2-2-222-200000022000-20000-20000000000000
χ2222222222-2222-2-2-2-2-222-2000000-2-20002000020000000000000
χ2322222222-222-22222-2-2-2-2000000002200-20000-2000000000000
χ2422222222-222-22222-2-2-2-200000000-2-200200002000000000000
χ2522222222-2-2-2222-2-2-22-220000002-200020000-20000000000000
χ2622222222-2-2-2222-2-2-22-22000000-22000-2000020000000000000
χ2722222222-2-2-2-2-2-222-2-222000000002-200-200002000000000000
χ2822222222-2-2-2-2-2-222-2-22200000000-220020000-2000000000000
χ29444-4-44-4-4000400000-40000000000000000000022−220000000000
χ30444-4-44-4-4000400000-400000000000000000000−22220000000000
χ31444-4-44-4-4000-400000400000000000000000000002i2−2i200000000
χ32444-4-44-4-4000-40000040000000000000000000000−2i22i200000000
χ3344-44-4-4-4440000000-40004i−4i0000000000000000000000000000
χ3444-44-4-4-4440000000-4000−4i4i0000000000000000000000000000
χ3544-44-4-4-44-400000004000004-400000000000000000000000000
χ3644-44-4-4-44-40000000400000-4400000000000000000000000000
χ374-44-4-4-4440000004-40000000000000000000000000022−22000000
χ384-44-4-4-4440000004-400000000000000000000000000−2222000000
χ394-44-4-4-444000000-44000000000000000000000000000022−220000
χ404-44-4-4-444000000-440000000000000000000000000000−22220000
χ414-4-44-444-404i−4i00000000000002-2000000002i−2i00000000000000
χ424-4-44-444-404i−4i0000000000000-2200000000−2i2i00000000000000
χ434-4-44-444-40−4i4i00000000000002-200000000−2i2i00000000000000
χ444-4-44-444-40−4i4i0000000000000-22000000002i−2i00000000000000
χ454-4-4-444-4400004-4000000000000000000000000000000002-22-2
χ464-4-4-444-4400004-400000000000000000000000000000000-22-22
χ474-4-4-444-440000-44000000000000000000000000000000002-2-22
χ484-4-4-444-440000-4400000000000000000000000000000000-222-2
χ4988-8-88-88-8000000000000000000000000000000000000000000
χ508-8888-8-8-8000000000000000000000000000000000000000000

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