Finite Group Databasebeta

← Group #178606

Character table — Group #178606

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442224444222444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-11-1-1-1-11-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-111-1-111-1-1-111-1-1-11111-1-1-1-11111-1-1
χ611111111111111111-1-111-1-111-1-1-111-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111-1-111-1-1-1-11-11-1-11-111111-1-1-1-1-1-1-1-111
χ811111111111111111-1-111-1-1-1-11-11-1-11-11-1-1-1-111111111-1-1
χ911111111-1-1111111-111-1-1-1-11-111-11-1-1-1111-1-111-1-111-1-11-1
χ1011111111-1-1111111-111-1-1-1-11-111-11-1-1-11-1-111-1-111-1-111-11
χ1111111111-1-1111111-111-1-1-1-1-11-111-111-1-111-1-111-1-1-1-111-11
χ1211111111-1-1111111-111-1-1-1-1-11-111-111-1-1-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-1111-1-1-111-111-111-1-1-1-11111-1-1-11
χ1411111111-1-1111111-1-1-1-1-1111-1-1-111-111-1-1-11111-1-1-1-1111-1
χ1511111111-1-1111111-1-1-1-1-111-111-1-1-11-11111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-111-111-1-1-11-111-1-11111-1-111-1-1-11
χ17222222222222-2-2-2-2-200-22000020-20020-200000000000000
χ18222222222222-2-2-2-2-200-220000-20200-20200000000000000
χ192222222222-2-222-2-2-2222-2-2-2000-200002000000000000000
χ202222222222-2-222-2-2-2-2-22-22200020000-2000000000000000
χ212222222222-2-2-2-222200-2-2002-2000-2200000000000000000
χ222222222222-2-2-2-222200-2-200-220002-200000000000000000
χ2322222222-2-222-2-2-2-22002-2000020200-20-200000000000000
χ2422222222-2-222-2-2-2-22002-20000-20-20020200000000000000
χ2522222222-2-2-2-222-2-2222-2222000-20000-2000000000000000
χ2622222222-2-2-2-222-2-22-2-2-22-2-2000200002000000000000000
χ2722222222-2-2-2-2-2-222-200220022000-2-200000000000000000
χ2822222222-2-2-2-2-2-222-2002200-2-20002200000000000000000
χ29444-4-4-44-44i−4i000000000000000000000002-22i−2i0000000000
χ30444-4-4-44-44i−4i00000000000000000000000-22−2i2i0000000000
χ31444-4-4-44-4−4i4i000000000000000000000002-2−2i2i0000000000
χ32444-4-4-44-4−4i4i00000000000000000000000-222i−2i0000000000
χ334-444-44-4-4004-40000000000000000000000000002i2−2i2000000
χ344-444-44-4-4004-4000000000000000000000000000−2i22i2000000
χ354-444-44-4-400-4400000000000000000000000002i2−2i200000000
χ364-444-44-4-400-440000000000000000000000000−2i22i200000000
χ374-4-44-4-4440000004-4000000000000000000000000022−220000
χ384-4-44-4-4440000004-40000000000000000000000000−22220000
χ394-4-44-4-444000000-4400000000000000000000000000022−2200
χ404-4-44-4-444000000-44000000000000000000000000000−222200
χ414-4-4-4444-400004-400000004-4000000000000000000000000
χ424-4-4-4444-400004-40000000-44000000000000000000000000
χ434-4-4-4444-40000-440004-40000000000000000000000000000
χ444-4-4-4444-40000-44000-440000000000000000000000000000
χ4588-888-8-8-8000000000000000000000000000000000000000
χ4688-8-8-88-88000000000000000000000000000000000000000
χ478-88-88-8-88000000000000000000000000000000000000000

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