Finite Group Databasebeta

← Group #180490

Character table — Group #180490

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444424888888882444444444448888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11-11-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1-111111111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ911111111-1-11-1-111111-1-11111-1-1-1-1111-11-1-11-1-11-111-1-111-1-11-1
χ1011111111-1-11-1-111111-1-11111-1-1-1-111-11-11-1-1-11-1111-1-1-1-111-11
χ1111111111-1-11-1-111111-1-11111-1-1-1-1-1-11-1-11111-1-11-1-111-1-1111-1
χ1211111111-1-11-1-111111-1-11111-1-1-1-1-1-1-111-11-1111-1-1-11111-1-1-11
χ1311111111-1-11-1-111111-1-1-1-1-1-11111111-11-1-11-1-11-1-1-111-1-111-11
χ1411111111-1-11-1-111111-1-1-1-1-1-1111111-11-11-1-1-11-11-1-11111-1-11-1
χ1511111111-1-11-1-111111-1-1-1-1-1-11111-1-11-1-11111-1-1111-1-111-1-1-11
χ1611111111-1-11-1-111111-1-1-1-1-1-11111-1-1-111-11-1111-111-1-1-1-1111-1
χ1722222222222-2-2-2-2-2-22-22000000002-2000020-20000000000000
χ1822222222222-2-2-2-2-2-22-2200000000-220000-2020000000000000
χ192222222222-22222-2-2-2-2-2000000000022000-20-2000000000000
χ202222222222-22222-2-2-2-2-20000000000-2-2000202000000000000
χ212222222222-2-2-2-2-222-22-20000000000002-20000-220000000000
χ222222222222-2-2-2-2-222-22-2000000000000-2200002-20000000000
χ2322222222-2-2222-2-2-2-222-2000000002-20000-2020000000000000
χ2422222222-2-2222-2-2-2-222-200000000-22000020-20000000000000
χ2522222222-2-2-222-2-222-2-22000000000000220000-2-20000000000
χ2622222222-2-2-222-2-222-2-22000000000000-2-20000220000000000
χ2722222222-2-2-2-2-222-2-2-22200000000002-2000-202000000000000
χ2822222222-2-2-2-2-222-2-2-2220000000000-2200020-2000000000000
χ29444-4-44-4-400000004-400000002222−22−220000000000000000000000
χ30444-4-44-4-400000004-40000000−22−2222220000000000000000000000
χ31444-4-44-4-40000000-440002222−22−2200000000000000000000000000
χ32444-4-44-4-40000000-44000−22−22222200000000000000000000000000
χ3344-44-4-44-4004000000-40022−2222−2200000000000000000000000000
χ3444-44-4-44-4004000000-400−2222−222200000000000000000000000000
χ3544-44-4-44-400-400000040000002i2−2i22i2−2i20000000000000000000000
χ3644-44-4-44-400-40000004000000−2i22i2−2i22i20000000000000000000000
χ3744-4-44-4-444i−4i00000000002-2-222i−2i−2i2i0000000000000000000000
χ3844-4-44-4-444i−4i0000000000-222-2−2i2i2i−2i0000000000000000000000
χ3944-4-44-4-44−4i4i00000000002-2-22−2i2i2i−2i0000000000000000000000
χ4044-4-44-4-44−4i4i0000000000-222-22i−2i−2i2i0000000000000000000000
χ414-4444-4-4-4000004-4000000000000000000000000022−2200000000
χ424-4444-4-4-4000004-40000000000000000000000000−222200000000
χ434-4444-4-4-400000-4400000000000000000000000000022−22000000
χ444-4444-4-4-400000-44000000000000000000000000000−2222000000
χ454-44-4-4-4440004-400000000000000000000000000000002-22-200
χ464-44-4-4-4440004-40000000000000000000000000000000-22-2200
χ474-44-4-4-444000-4400000000000000000000000000000002-2-2200
χ484-44-4-4-444000-440000000000000000000000000000000-222-200
χ498-8-88-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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