Finite Group Databasebeta

← Group #329019

Character table — Group #329019

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442244444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-11-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-11-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-11-11-11-1-1-1-11-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-11-11-11-1-1-1-11-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1111-1-11-1-1-1-111111111-1-1-1-1
χ911111111111111-1-1-1-111-1-111-111-11-1-1-1-1111-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-111-1-111-111-11-1-1-1-11-1-111-1-111-1-111-1-111
χ1111111111111111-1-1-1-111-1-11-1-1-111-111-11-111-1-111-1-1-1-111-1-111
χ1211111111111111-1-1-1-111-1-11-1-1-111-111-11-1-1-111-1-11111-1-111-1-1
χ1311111111111111-1-1-1-111-1-1-1111-1-1-1111-1-111-1-1-1-11111-1-1-1-111
χ1411111111111111-1-1-1-111-1-1-1111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1
χ1511111111111111-1-1-1-111-1-1-1-11-1-111-1-111111-1-1-1-111-1-11111-1-1
χ1611111111111111-1-1-1-111-1-1-1-11-1-111-1-1111-1-11111-1-111-1-1-1-111
χ17222222222222-2-222-2-2-2-22-22020-20000-2000000000000000000
χ18222222222222-2-222-2-2-2-22-2-20-20200002000000000000000000
χ19222222222222-2-2-2-222-2-2-2220-20-200002000000000000000000
χ20222222222222-2-2-2-222-2-2-22-202020000-2000000000000000000
χ2122222222-2-2-2-22-222222-2-2-2020-20-20000200000000000000000
χ2222222222-2-2-2-22-222222-2-2-20-202020000-200000000000000000
χ2322222222-2-2-2-22-2-2-2-2-22-222020-2020000-200000000000000000
χ2422222222-2-2-2-22-2-2-2-2-22-2220-2020-20000200000000000000000
χ2522222222-2-2-2-2-2222-2-2-22-2200000022-200-20000000000000000
χ2622222222-2-2-2-2-2222-2-2-22-22000000-2-220020000000000000000
χ2722222222-2-2-2-2-22-2-222-222-20000002-2200-20000000000000000
χ2822222222-2-2-2-2-22-2-222-222-2000000-22-20020000000000000000
χ29444-4-4-4-444-44-40000000000000000000000000000000000002i2−2i2
χ30444-4-4-4-444-44-4000000000000000000000000000000000000−2i22i2
χ31444-4-4-4-44-44-4400000000000000000000000000000000002i2−2i200
χ32444-4-4-4-44-44-440000000000000000000000000000000000−2i22i200
χ3344-444-4-4-444-4-44-40000-44000000000000000000000000000000
χ3444-444-4-4-444-4-4-4400004-4000000000000000000000000000000
χ3544-444-4-4-4-4-444440000-4-4000000000000000000000000000000
χ3644-444-4-4-4-4-444-4-4000044000000000000000000000000000000
χ3744-4-4-444-44-4-440000000000000000000000000000002i2−2i2000000
χ3844-4-4-444-44-4-44000000000000000000000000000000−2i22i2000000
χ3944-4-4-444-4-444-4000000000000000000000000000000002i2−2i20000
χ4044-4-4-444-4-444-400000000000000000000000000000000−2i22i20000
χ414-444-4-44-40000004-400000000000000000000002i−2i2i−2i00000000
χ424-444-4-44-40000004-40000000000000000000000−2i2i−2i2i00000000
χ434-444-4-44-4000000-4400000000000000000000002i−2i−2i2i00000000
χ444-444-4-44-4000000-440000000000000000000000−2i2i2i−2i00000000
χ454-4-4-44-444000000004-400000000000000002-22-2000000000000
χ464-4-4-44-444000000004-40000000000000000-22-22000000000000
χ474-4-4-44-44400000000-4400000000000000002-2-22000000000000
χ484-4-4-44-44400000000-440000000000000000-222-2000000000000
χ498-88-888-8-8000000000000000000000000000000000000000000
χ508-8-88-88-88000000000000000000000000000000000000000000

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