Finite Group Databasebeta

← Group #177950

Character table — Group #177950

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444424444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-1-11-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-1111-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-1-1-1111-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111-1-1-1-11-1-111-1-1-11-111111-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-1-1-11-1-111-1-1-11-11-1-1-1-11111-1-1-1-11111
χ911111111-1-11-1-111111-111-1-1-11-11-1-11-1-11111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-111111-111-1-1-11-11-1-11-1-111-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-111111-111-1-1-1-11-11-1-1111-111-1-111-1-1-1-111-1-111
χ1211111111-1-11-1-111111-111-1-1-1-11-11-1-1111-1-1-111-1-11111-1-111-1-1
χ1311111111-1-11-1-111111-1-1-111-11-1-1111-11-1-111-1-1-1-111-1-11111-1-1
χ1411111111-1-11-1-111111-1-1-111-11-1-1111-11-1-1-1-11111-1-111-1-1-1-111
χ1511111111-1-11-1-111111-1-1-111-1-111-11-11-1-1111-1-1-1-11111-1-1-1-111
χ1611111111-1-11-1-111111-1-1-111-1-111-11-11-1-11-1-11111-1-1-1-11111-1-1
χ1722222222222-2-2-2-2-2-22-20000222000-2-20000000000000000000
χ1822222222222-2-2-2-2-2-22-200002-2-2000220000000000000000000
χ192222222222-222-2-222-2-222-2-2-200002000-200000000000000000
χ202222222222-222-2-222-2-2-2-222-20000-2000200000000000000000
χ212222222222-2-2-222-2-2-220000-20022000-20-20000000000000000
χ222222222222-2-2-222-2-2-220000-200-2-20002020000000000000000
χ2322222222-2-2222-2-2-2-2220000-22-2000-220000000000000000000
χ2422222222-2-2222-2-2-2-2220000-2-220002-20000000000000000000
χ2522222222-2-2-22222-2-2-2-200002002-200020-20000000000000000
χ2622222222-2-2-22222-2-2-2-20000200-22000-2020000000000000000
χ2722222222-2-2-2-2-2-2-222-22222220000-2000-200000000000000000
χ2822222222-2-2-2-2-2-2-222-22-2-2-2-2200002000200000000000000000
χ29444-4-4-44-4004000000-400000000000000000000000022−22000000
χ30444-4-4-44-4004000000-4000000000000000000000000−2222000000
χ31444-4-4-44-400-40000004000000000000000000000000002i2−2i20000
χ32444-4-4-44-400-4000000400000000000000000000000000−2i22i20000
χ3344-4-44-4-4400000004-400004i−4i000000000000000000000000000
χ3444-4-44-4-4400000004-40000−4i4i000000000000000000000000000
χ3544-4-44-4-440000000-44004i−4i00000000000000000000000000000
χ3644-4-44-4-440000000-4400−4i4i00000000000000000000000000000
χ374-444-4-4-440004i−4i00000000000000000000000002i−2i2-200000000
χ384-444-4-4-440004i−4i0000000000000000000000000−2i2i-2200000000
χ394-444-4-4-44000−4i4i00000000000000000000000002i−2i-2200000000
χ404-444-4-4-44000−4i4i0000000000000000000000000−2i2i2-200000000
χ414-44-444-4-4000004-400000000000000000000000000000002i2−2i200
χ424-44-444-4-4000004-40000000000000000000000000000000−2i22i200
χ434-44-444-4-400000-440000000000000000000000000000000002i2−2i2
χ444-44-444-4-400000-44000000000000000000000000000000000−2i22i2
χ454-4-4-4-44444-40000000000000000000000002-22-2000000000000
χ464-4-4-4-44444-4000000000000000000000000-22-22000000000000
χ474-4-4-4-4444-440000000000000000000000002-2-22000000000000
χ484-4-4-4-4444-44000000000000000000000000-222-2000000000000
χ4988-88-88-8-8000000000000000000000000000000000000000000
χ508-8-888-88-8000000000000000000000000000000000000000000

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