Finite Group Databasebeta

← Group #179162

Character table — Group #179162

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-1-11-11-1-11-11-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-1-11-11-1-11-11-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-11-11-1-11-111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-11-11-1-11-11-1-1-1-111111111-1-1
χ911111111-1-1111111-1-1-111-1-111-1-11-111-1-111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-1-111-1-111-1-11-111-1-1-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-1-111-1-11-111-1-1-1-11111-1-111-1-1-1-111-11
χ1211111111-1-1111111-1-1-111-1-11-111-1-1-1-111-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-111-111-1-111-1-1111-1-1-1-11111-1-1-11
χ1411111111-1-1111111-1-1-1-1-111-111-1-111-1-11-1-11111-1-1-1-1111-1
χ1511111111-1-1111111-1-1-1-1-111-1-1-1111-111-111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-111-1-1-1111-111-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-22-222-2-2-200002000000000000000000
χ1822222222222-2-2-2-22-22-2-2-22220000-2000000000000000000
χ192222222222-222-2-2-2-2-2200000020200-20-200000000000000
χ202222222222-222-2-2-2-2-22000000-20-20020200000000000000
χ212222222222-2-2-222-22-2-20000020200-20-2000000000000000
χ222222222222-2-2-222-22-2-200000-20-200202000000000000000
χ2322222222-2-22-2-2-2-222-222222-20000-2000000000000000000
χ2422222222-2-22-2-2-2-222-22-2-2-2-2200002000000000000000000
χ2522222222-2-2-222-2-2-222-200000020-20020-200000000000000
χ2622222222-2-2-222-2-2-222-2000000-20200-20200000000000000
χ2722222222-2-2-2-2-222-2-2220000020-200-202000000000000000
χ2822222222-2-2-2-2-222-2-22200000-2020020-2000000000000000
χ29444-44-4-4-40004-400000000000000000000000022−2200000000
χ30444-44-4-4-40004-4000000000000000000000000−222200000000
χ31444-44-4-4-4000-440000000000000000000000000022−22000000
χ32444-44-4-4-4000-4400000000000000000000000000−2222000000
χ3344-44-44-4-44-4000000000000000000000002-22-20000000000
χ3444-44-44-4-44-400000000000000000000000-22-220000000000
χ3544-44-44-4-4-44000000000000000000000002-2-220000000000
χ3644-44-44-4-4-4400000000000000000000000-222-20000000000
χ374-444-4-4-44000004-4000000000000000000000000002i2−2i20000
χ384-444-4-4-44000004-400000000000000000000000000−2i22i20000
χ394-444-4-4-4400000-4400000000000000000000000000002i2−2i200
χ404-444-4-4-4400000-440000000000000000000000000000−2i22i200
χ414-4-444-44-40040000-40004-400000000000000000000000000
χ424-4-444-44-40040000-4000-4400000000000000000000000000
χ434-4-444-44-400-400004000004i−4i000000000000000000000000
χ444-4-444-44-400-40000400000−4i4i000000000000000000000000
χ4588-8-8-8-888000000000000000000000000000000000000000
χ468-88-8-888-8000000000000000000000000000000000000000
χ478-8-8-888-88000000000000000000000000000000000000000

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