Finite Group Databasebeta

← Group #180526

Character table — Group #180526

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444888888882244444444448888888844
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-11-1-11-11-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111-11-11-1-1-1-11-11-11111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-11-11-1-11-11-1-1-1-11111-1-1
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11-11-1-11-11-1-1-1-111111111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11-11-1-1-1-1-1111111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-111111-1-1-1-111
χ911111111-1-11-1-111111-1-11111-1-1-1-1111-11-11-11-1-1-111-1-111-1-11-1
χ1011111111-1-11-1-111111-1-11111-1-1-1-11-111-1-1-1-1-1111-1-111-1-1111-1
χ1111111111-1-11-1-111111-1-11111-1-1-1-1-11-1-1-11-1111-1111-1-1-1-111-11
χ1211111111-1-11-1-111111-1-11111-1-1-1-1-1-1-111111-1-11-1-1-11111-1-1-11
χ1311111111-1-11-1-111111-1-1-1-1-1-11111111-11-11-11-1-1-1-1-111-1-111-11
χ1411111111-1-11-1-111111-1-1-1-1-1-111111-111-1-1-1-1-111111-1-111-1-1-11
χ1511111111-1-11-1-111111-1-1-1-1-1-11111-11-1-1-11-1111-11-1-11111-1-11-1
χ1611111111-1-11-1-111111-1-1-1-1-1-11111-1-1-111111-1-11-111-1-1-1-1111-1
χ1722222222222-2-2-2-2-22-22-200000000020-20000-20200000000000
χ1822222222222-2-2-2-2-22-22-2000000000-202000020-200000000000
χ192222222222-2222-2-2-22-2-20000000020-20020-200000000000000
χ202222222222-2222-2-2-22-2-200000000-20200-20200000000000000
χ212222222222-2-2-2-222-2-2-2200000000000020-200-2020000000000
χ222222222222-2-2-2-222-2-2-22000000000000-2020020-20000000000
χ2322222222-2-2222-2-2-22-2-220000000002020000-20-200000000000
χ2422222222-2-2222-2-2-22-2-22000000000-20-2000020200000000000
χ2522222222-2-2-222-222-2-22-200000000000020-20020-20000000000
χ2622222222-2-2-222-222-2-22-2000000000000-20200-2020000000000
χ2722222222-2-2-2-2-22-2-2-22220000000020-200-20200000000000000
χ2822222222-2-2-2-2-22-2-2-222200000000-2020020-200000000000000
χ29444-44-4-4-400400000-40002222−22−2200000000000000000000000000
χ30444-44-4-4-400400000-4000−22−22222200000000000000000000000000
χ31444-44-4-4-400-400000400000002i22i2−2i2−2i20000000000000000000000
χ32444-44-4-4-400-40000040000000−2i2−2i22i22i20000000000000000000000
χ3344-44-4-4-440004i−4i00000002i−2i2i−2i2-22-20000000000000000000000
χ3444-44-4-4-440004i−4i0000000−2i2i−2i2i-22-220000000000000000000000
χ3544-44-4-4-44000−4i4i00000002i−2i2i−2i-22-220000000000000000000000
χ3644-44-4-4-44000−4i4i0000000−2i2i−2i2i2-22-20000000000000000000000
χ3744-4-4-444-40000004-4000000002i2−2i2−2i22i20000000000000000000000
χ3844-4-4-444-40000004-400000000−2i22i22i2−2i20000000000000000000000
χ3944-4-4-444-4000000-4400002i2−2i2−2i22i200000000000000000000000000
χ4044-4-4-444-4000000-440000−2i22i22i2−2i200000000000000000000000000
χ414-44-4-4-444000004000-40000000000000000000000002i2−2i2000000
χ424-44-4-4-444000004000-4000000000000000000000000−2i22i2000000
χ434-44-4-4-44400000-40004000000000000000000000022−2200000000
χ444-44-4-4-44400000-400040000000000000000000000−222200000000
χ454-4-444-44-44i−4i00000000000000000000000000000000002-22i−2i00
χ464-4-444-44-44i−4i0000000000000000000000000000000000-22−2i2i00
χ474-4-444-44-4−4i4i00000000000000000000000000000000002-2−2i2i00
χ484-4-444-44-4−4i4i0000000000000000000000000000000000-222i−2i00
χ498-888-88-8-8000000000000000000000000000000000000000000
χ508-8-8-888-88000000000000000000000000000000000000000000

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