Finite Group Databasebeta

← Group #327931

Character table — Group #327931

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111122224444448881616161616161616161616161616161616161616161616163232
order12222222222244444444444444444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1111111-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1111111-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-11
χ1722222222222222-2-2-2-22-2-2000000002-22-200000000000000
χ1822222222222222-2-2-2-22-2-200000000-22-2200000000000000
χ19222222222222-2-222-2-2-22-200002-22-2000000000000000000
χ20222222222222-2-222-2-2-22-20000-22-22000000000000000000
χ21222222222222-2-2-2-222-2-222-22-20000000000000000000000
χ22222222222222-2-2-2-222-2-22-22-220000000000000000000000
χ2322222222-2-2-2-222-2-2-2-2-222000000002-2-2200000000000000
χ2422222222-2-2-2-222-2-2-2-2-22200000000-222-200000000000000
χ2522222222-2-2-2-2-2-222-2-22-2200002-2-22000000000000000000
χ2622222222-2-2-2-2-2-222-2-22-220000-222-2000000000000000000
χ2722222222-2-2-2-2-2-2-2-22222-22-2-220000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-222-20000000000000000000000
χ294444-4-4-4-400004-44-44-400000000000000000000000000000
χ304444-4-4-4-400004-4-44-4400000000000000000000000000000
χ314444-4-4-4-40000-444-4-4400000000000000000000000000000
χ324444-4-4-4-40000-44-444-400000000000000000000000000000
χ3344-4-444-4-444-4-40000000000000000000002i−2i2i−2i0000000000
χ3444-4-444-4-444-4-4000000000000000000000−2i2i−2i2i0000000000
χ3544-4-444-4-4-4-4440000000000000000000002i−2i−2i2i0000000000
χ3644-4-444-4-4-4-444000000000000000000000−2i2i2i−2i0000000000
χ374-44-44-44-44-44-400000000000000000000000002i−2i2i−2i000000
χ384-44-44-44-44-44-40000000000000000000000000−2i2i−2i2i000000
χ394-44-44-44-4-44-4400000000000000000000000002i−2i−2i2i000000
χ404-44-44-44-4-44-440000000000000000000000000−2i2i2i−2i000000
χ414-4-444-4-444-4-44000000000000000000000000000002i−2i2i−2i00
χ424-4-444-4-444-4-4400000000000000000000000000000−2i2i−2i2i00
χ434-4-444-4-44-444-4000000000000000000000000000002i−2i−2i2i00
χ444-4-444-4-44-444-400000000000000000000000000000−2i2i2i−2i00
χ4588-8-8-8-888000000000000000000000000000000000000000
χ468-88-8-88-88000000000000000000000000000000000000000
χ478-8-88-888-8000000000000000000000000000000000000000

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