Finite Group Databasebeta

← Group #178196

Character table — Group #178196

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222224444444444444422244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111-1-1-1-11-11-1-11-111-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-1-1-11-11-1-11-111-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-1-1-11-1-11-1-11-1-1111111-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-1-1-11-1-11-1-11-1-111-1-1-1-11111-1-1-1-11111
χ911111111-1-11-1-111111-111-1-1-1-111111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-111111-111-1-1-1-111111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-111111-111-1-1-1-1-1-11-1-1111111-1-1-1-111-1-11111-1-1
χ1211111111-1-11-1-111111-111-1-1-1-1-1-11-1-11111-1-11111-1-111-1-1-1-111
χ1311111111-1-11-1-111111-1-1-111-111-1-11-1-1-11111-1-111-1-1-1-111-1-111
χ1411111111-1-11-1-111111-1-1-111-111-1-11-1-1-111-1-111-1-11111-1-111-1-1
χ1511111111-1-11-1-111111-1-1-111-11-11-1-1111-1-111-1-1-1-11111-1-1-1-111
χ1611111111-1-11-1-111111-1-1-111-11-11-1-1111-1-1-1-11111-1-1-1-11111-1-1
χ172222222222222-2-2-2-22-222-2-2-2200-20000000000000000000000
χ182222222222222-2-2-2-22-2-2-222-2-20020000000000000000000000
χ192222222222-2-2-222-2-2-220000-200200-200-220000000000000000
χ202222222222-2-2-222-2-2-220000-200-2002002-20000000000000000
χ212222222222-2-2-2-2-222-2-2000020200-202-2000000000000000000
χ222222222222-2-2-2-2-222-2-2000020-20020-22000000000000000000
χ2322222222-2-22-2-2-2-2-2-22222222-200-20000000000000000000000
χ2422222222-2-22-2-2-2-2-2-222-2-2-2-2220020000000000000000000000
χ2522222222-2-2-22222-2-2-2-20000200200-2002-20000000000000000
χ2622222222-2-2-22222-2-2-2-20000200-200200-220000000000000000
χ2722222222-2-2-222-2-222-220000-20200-20-22000000000000000000
χ2822222222-2-2-222-2-222-220000-20-200202-2000000000000000000
χ29444-44-4-4-4004000000-404-400000000000000000000000000000
χ30444-44-4-4-4004000000-40-4400000000000000000000000000000
χ31444-44-4-4-400-400000040004i−4i000000000000000000000000000
χ32444-44-4-4-400-40000004000−4i4i000000000000000000000000000
χ3344-4-4-444-4000004-400000000000000000000000002i2−2i200000000
χ3444-4-4-444-4000004-40000000000000000000000000−2i22i200000000
χ3544-4-4-444-400000-44000000000000000000000002i2−2i20000000000
χ3644-4-4-444-400000-4400000000000000000000000−2i22i20000000000
χ374-44-4-4-44400000004-400000000000000000000000000022−220000
χ384-44-4-4-44400000004-4000000000000000000000000000−22220000
χ394-44-4-4-4440000000-44000000000000000000000000022−22000000
χ404-44-4-4-4440000000-440000000000000000000000000−2222000000
χ414-4-444-44-40004-40000000000000000000000000000000002i−2i2i−2i
χ424-4-444-44-40004-4000000000000000000000000000000000−2i2i−2i2i
χ434-4-444-44-4000-440000000000000000000000000000000002i−2i−2i2i
χ444-4-444-44-4000-44000000000000000000000000000000000−2i2i2i−2i
χ454-4-4-444-444-40000000000000000000000002-22-2000000000000
χ464-4-4-444-444-4000000000000000000000000-22-22000000000000
χ474-4-4-444-44-440000000000000000000000002-2-22000000000000
χ484-4-4-444-44-44000000000000000000000000-222-2000000000000
χ4988-88-8-8-88000000000000000000000000000000000000000000
χ508-888-88-8-8000000000000000000000000000000000000000000

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