Finite Group Databasebeta

← Group #175903

Character table — Group #175903

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222224444444444444422224444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111-1-11-1-111111-1-1-11-11-11-11111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-11-1-11111-11-1-1-11-11-11-1-1-1-11111-1-1-1-1
χ71111111111111111111-1-11-1-1-1-1-1-11-1-1-11-11-11-1-1-1-1-111111111
χ81111111111111111111-1-11-1-1-1-1-1-1-11-1-1-11-11-111111-1-1-1-11111
χ911111111-1-1-1-1111111-111-1-1-111-1-1111-1-1-11-1-1111-1-111-1-111-1-1
χ1011111111-1-1-1-1111111-111-1-1-111-1-1-1-11-111-111-1-1-111-1-11111-1-1
χ1111111111-1-1-1-1111111-111-1-1-1-1-111111-1-1-11-1-11-1-111-1-111-1-111
χ1211111111-1-1-1-1111111-111-1-1-1-1-111-1-11-111-111-111-1-111-1-1-1-111
χ1311111111-1-1-1-1111111-1-1-1-11111-1-11-1-11-1111-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-1111111-1-1-1-11111-1-1-11-111-1-1-111-1-11111-1-1-1-111
χ1511111111-1-1-1-1111111-1-1-1-111-1-1111-1-11-1111-1-1-1-11111-1-111-1-1
χ1611111111-1-1-1-1111111-1-1-1-111-1-111-11-111-1-1-11111-1-1-1-11111-1-1
χ17222222222222-2-2-222-2-200-20000000200020-20-2000000000000
χ18222222222222-2-2-222-2-200-20000000-2000-20202000000000000
χ192222222222-2-22-2-2-2-22-2222-2-2000000-22000000000000000000
χ202222222222-2-22-2-2-2-22-2-2-22220000002-2000000000000000000
χ212222222222-2-2-222-2-2-2200-20000002000-20-2020000000000000
χ222222222222-2-2-222-2-2-2200-2000000-20002020-20000000000000
χ2322222222-2-2222-2-2-2-22222-222000000-2-2000000000000000000
χ2422222222-2-2222-2-2-2-222-2-2-2-2-200000022000000000000000000
χ2522222222-2-222-222-2-2-2-2002000000200020-20-20000000000000
χ2622222222-2-222-222-2-2-2-2002000000-2000-202020000000000000
χ2722222222-2-2-2-2-2-2-222-2200200000002000-2020-2000000000000
χ2822222222-2-2-2-2-2-2-222-220020000000-200020-202000000000000
χ29444-4-4-44-400000004-400000000000000000000000000000002i2−2i2
χ30444-4-4-44-400000004-40000000000000000000000000000000−2i22i2
χ31444-4-4-44-40000000-44000000000000000000000000000002i2−2i200
χ32444-4-4-44-40000000-4400000000000000000000000000000−2i22i200
χ3344-444-4-4-4000004-4000000000000000000000000000002i2−2i20000
χ3444-444-4-4-4000004-400000000000000000000000000000−2i22i20000
χ3544-444-4-4-400000-440000000000000000000000000002i2−2i2000000
χ3644-444-4-4-400000-44000000000000000000000000000−2i22i2000000
χ374-444-44-4-44-400000000000000000000000000002i−2i2i−2i00000000
χ384-444-44-4-44-40000000000000000000000000000−2i2i−2i2i00000000
χ394-444-44-4-4-4400000000000000000000000000002i−2i−2i2i00000000
χ404-444-44-4-4-440000000000000000000000000000−2i2i2i−2i00000000
χ414-44-44-4-44000040000-404i−4i00000000000000000000000000000
χ424-44-44-4-44000040000-40−4i4i00000000000000000000000000000
χ434-44-44-4-440000-40000400004-400000000000000000000000000
χ444-44-44-4-440000-4000040000-4400000000000000000000000000
χ454-4-44-4-444004-40000000000002-22-20000000000000000000000
χ464-4-44-4-444004-4000000000000-22-220000000000000000000000
χ474-4-44-4-44400-440000000000002-2-220000000000000000000000
χ484-4-44-4-44400-44000000000000-222-20000000000000000000000
χ4988-8-8-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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