Finite Group Databasebeta

← Group #175970

Character table — Group #175970

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1-1-111-1-1-11-1-1111-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-111-1-1-11-1-1-1-11-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-1-1-11-1-1-11111-1111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-11-1-1-111-1-1-11-1-111111111-1-1-1-1
χ9111111111-1-1-1-111111-1-111-1-11111-1-11-111-1-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-1-111-1-11111-1-11-1-1-1-1-111-1-111-1-111-1-111
χ11111111111-1-1-1-111111-1-111-1-1-1-1-11-11-111111-1-1-1-11111-1-1-1-111
χ12111111111-1-1-1-111111-1-111-1-1-1-1-11-11-11-1-1111111-1-1-1-11111-1-1
χ13111111111-1-1-1-111111-1-1-1-11111-1-11-1-1111-11-1-111-1-1-1-111-1-111
χ14111111111-1-1-1-111111-1-1-1-11111-1-11-1-11-1-1-1111-1-11111-1-111-1-1
χ15111111111-1-1-1-111111-1-1-1-111-1-11-1111-1111-1-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-111111-1-1-1-111-1-11-1111-1-1-11-11111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-22-2-220000002000-2-2000200000000000000
χ1822222222222-2-2-2-2-22-2-22000000-200022000-200000000000000
χ19222222222-2-222-2-2-22-22-20000002000-22000-200000000000000
χ20222222222-2-222-2-2-22-22-2000000-20002-2000200000000000000
χ2122222222-22222-222-2-2-2-200002-200020000-2000000000000000
χ2222222222-22222-222-2-2-2-20000-22000-200002000000000000000
χ2322222222-222-2-22-2-2-222-22222000-2-2000000000000000000000
χ2422222222-222-2-22-2-2-222-2-2-2-2-200022000000000000000000000
χ2522222222-2-2-2222-2-2-22-2222-2-2000-22000000000000000000000
χ2622222222-2-2-2222-2-2-22-22-2-2220002-2000000000000000000000
χ2722222222-2-2-2-2-2-222-2-22200002-2000-200002000000000000000
χ2822222222-2-2-2-2-2-222-2-2220000-2200020000-2000000000000000
χ29444-44-4-4-40004-40000000000000000000000000000000002-22-2
χ30444-44-4-4-40004-4000000000000000000000000000000000-22-22
χ31444-44-4-4-4000-440000000000000000000000000000000002-2-22
χ32444-44-4-4-4000-44000000000000000000000000000000000-222-2
χ334-444-44-4-440000000-400000000000000000000022−220000000000
χ344-444-44-4-440000000-4000000000000000000000−22220000000000
χ354-444-44-4-4-400000004000000000000000000000002i2−2i200000000
χ364-444-44-4-4-40000000400000000000000000000000−2i22i200000000
χ374-44-4-4-44404i−4i0000000000000000000002i−2i002-2000000000000
χ384-44-4-4-44404i−4i000000000000000000000−2i2i00-22000000000000
χ394-44-4-4-4440−4i4i0000000000000000000002i−2i00-22000000000000
χ404-44-4-4-4440−4i4i000000000000000000000−2i2i002-2000000000000
χ414-4-444-44-40000004-400000000000000000000000000002i2−2i20000
χ424-4-444-44-40000004-40000000000000000000000000000−2i22i20000
χ434-4-444-44-4000000-44000000000000000000000000002i2−2i2000000
χ444-4-444-44-4000000-4400000000000000000000000000−2i22i2000000
χ454-4-4-444-44000004000-400004i−4i00000000000000000000000000
χ464-4-4-444-44000004000-40000−4i4i00000000000000000000000000
χ474-4-4-444-4400000-40004004-40000000000000000000000000000
χ484-4-4-444-4400000-4000400-440000000000000000000000000000
χ4988-88-8-8-88000000000000000000000000000000000000000000
χ5088-8-8-888-8000000000000000000000000000000000000000000

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