Finite Group Databasebeta

← Group #179214

Character table — Group #179214

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-11-11-1-1-11-11-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-11-11-1-1-11-11-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-11-11-1-1-11-111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-11-11-1-1-11-11-1-1-1-111111111-1-1
χ911111111-1-1111111-1-1-111-1-111-1-11-11-1-1111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-1-111-1-111-1-11-11-1-11-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-1-111-1-1-1-1111-1-111-111-1-111-1-1-1-111-11
χ1211111111-1-1111111-1-1-111-1-1-1-1111-1-111-1-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-1111-1-11-1111-1-111-1-1-1-11111-1-1-11
χ1411111111-1-1111111-1-1-1-1-1111-1-11-1111-1-1-1-11111-1-1-1-1111-1
χ1511111111-1-1111111-1-1-1-1-111-111-1-11-1-11111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-111-111-1-11-1-111-1-11111-1-111-1-1-11
χ1722222222222-2-22-2-2-22-200000202000-20-200000000000000
χ1822222222222-2-22-2-2-22-200000-20-200020200000000000000
χ192222222222-22-2-22-2-2-2222-2-20000-22000000000000000000
χ202222222222-22-2-22-2-2-22-2-22200002-2000000000000000000
χ212222222222-2-22-2-222-2-20000202000-20-2000000000000000
χ222222222222-2-22-2-222-2-20000-20-2000202000000000000000
χ2322222222-2-22-2-22-2-22-220000020-200020-200000000000000
χ2422222222-2-22-2-22-2-22-2200000-202000-20200000000000000
χ2522222222-2-2-22-2-22-222-222220000-2-2000000000000000000
χ2622222222-2-2-22-2-22-222-2-2-2-2-2000022000000000000000000
χ2722222222-2-2-2-22-2-22-222000020-2000-202000000000000000
χ2822222222-2-2-2-22-2-22-2220000-20200020-2000000000000000
χ29444-4-4-4-440000400-4000000000000000000022−220000000000
χ30444-4-4-4-440000400-40000000000000000000−22220000000000
χ31444-4-4-4-440000-4004000000000000000002i2−2i2000000000000
χ32444-4-4-4-440000-400400000000000000000−2i22i2000000000000
χ3344-44-44-4-4000400-40000004-4000000000000000000000000
χ3444-44-44-4-4000400-4000000-44000000000000000000000000
χ3544-44-44-4-4000-400400004i−4i00000000000000000000000000
χ3644-44-44-4-4000-40040000−4i4i00000000000000000000000000
χ374-444-4-44-400400-40000000000000000000000000000022−2200
χ384-444-4-44-400400-400000000000000000000000000000−222200
χ394-444-4-44-400-40040000000000000000000000000002i2−2i20000
χ404-444-4-44-400-4004000000000000000000000000000−2i22i20000
χ414-4-444-4-444i−4i0000000000000000000000000002-22i−2i000000
χ424-4-444-4-444i−4i000000000000000000000000000-22−2i2i000000
χ434-4-444-4-44−4i4i0000000000000000000000000002-2−2i2i000000
χ444-4-444-4-44−4i4i000000000000000000000000000-222i−2i000000
χ4588-8-88-88-8000000000000000000000000000000000000000
χ468-88-888-8-8000000000000000000000000000000000000000
χ478-8-8-8-8888000000000000000000000000000000000000000

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