Finite Group Databasebeta

← Group #175941

Character table — Group #175941

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222224444444444444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-1-1-1-1111-1-1-11-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ911111111-1-11-1-111111-1-111-1-1111-1-1-1-1-11111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-111111-1-111-1-1111-1-1-1-1-111-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-111111-1-111-1-11-1-1111-11-1-111-1-1-1-111-1-11111-1-1
χ1211111111-1-11-1-111111-1-111-1-11-1-1111-11-1-1-1-11111-1-111-1-1-1-111
χ1311111111-1-11-1-111111-1-1-1-111-111-1111-1-1-111-1-111-1-1-1-111-1-111
χ1411111111-1-11-1-111111-1-1-1-111-111-1111-1-1-1-1-111-1-11111-1-111-1-1
χ1511111111-1-11-1-111111-1-1-1-111-1-1-11-1-1111111-1-1-1-11111-1-1-1-111
χ1611111111-1-11-1-111111-1-1-1-111-1-1-11-1-11111-1-11111-1-1-1-11111-1-1
χ1722222222222-2-2-2-2-2-222-222-2-2-20000020000000000000000000
χ1822222222222-2-2-2-2-2-222-2-2-222200000-20000000000000000000
χ192222222222-222-2-222-2-2-2000002-22000-2000000000000000000
χ202222222222-222-2-222-2-2-200000-22-20002000000000000000000
χ212222222222-2-2-222-2-2-2-22000000002-2002-20000000000000000
χ222222222222-2-2-222-2-2-2-2200000000-2200-220000000000000000
χ2322222222-2-2222-2-2-2-22-222222-200000-20000000000000000000
χ2422222222-2-2222-2-2-2-22-22-2-2-2-220000020000000000000000000
χ2522222222-2-2-22222-2-2-22-2000000002-200-220000000000000000
χ2622222222-2-2-22222-2-2-22-200000000-22002-20000000000000000
χ2722222222-2-2-2-2-2-2-222-222000002-2-20002000000000000000000
χ2822222222-2-2-2-2-2-2-222-22200000-222000-2000000000000000000
χ29444-4-4-4-444-4000000000000000000000000000000002i−2i2i−2i0000
χ30444-4-4-4-444-400000000000000000000000000000000−2i2i−2i2i0000
χ31444-4-4-4-44-44000000000000000000000000000000002i−2i−2i2i0000
χ32444-4-4-4-44-4400000000000000000000000000000000−2i2i2i−2i0000
χ334-444-44-4-40004-40000000000000000000002i−2i2i−2i000000000000
χ344-444-44-4-40004-4000000000000000000000−2i2i−2i2i000000000000
χ354-444-44-4-4000-440000000000000000000002i−2i−2i2i000000000000
χ364-444-44-4-4000-44000000000000000000000−2i2i2i−2i000000000000
χ374-44-44-44-4000004-400000000000000000000000002i2−2i200000000
χ384-44-44-44-4000004-40000000000000000000000000−2i22i200000000
χ394-44-44-44-400000-44000000000000000000000002i2−2i20000000000
χ404-44-44-44-400000-4400000000000000000000000−2i22i20000000000
χ414-4-444-4-44004000000-4004i−4i0000000000000000000000000000
χ424-4-444-4-44004000000-400−4i4i0000000000000000000000000000
χ434-4-444-4-4400-4000000400004-400000000000000000000000000
χ444-4-444-4-4400-400000040000-4400000000000000000000000000
χ454-4-4-4-444400000004-40000000000000000000000000000022−2200
χ464-4-4-4-444400000004-400000000000000000000000000000−222200
χ474-4-4-4-44440000000-44000000000000000000000000000000022−22
χ484-4-4-4-44440000000-440000000000000000000000000000000−2222
χ4988-88-8-88-8000000000000000000000000000000000000000000
χ5088-8-888-8-8000000000000000000000000000000000000000000

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