Finite Group Databasebeta

← Group #328956

Character table — Group #328956

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444424444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11-11-1-11-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-11-11-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-11-1-11-11-1-11-1-11111-1-1-1-11111-1-1
χ6111111111111111111111-11-1-11-11-1-11-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-11-1-1-1-11-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-11-1-1-1-11-1-111-1-1-1-111111111-1-1
χ911111111-1-111-1-11-1-1111-111-1-1-111-1-1-11111-1-111-1-111-1-11-1
χ1011111111-1-111-1-11-1-1111-111-1-1-111-1-1-111-1-111-1-111-1-111-11
χ1111111111-1-111-1-11-1-1111-11-11-111-11-11-1-111-1-111-1-1-1-111-11
χ1211111111-1-111-1-11-1-1111-11-11-111-11-11-1-1-1-111-1-11111-1-11-1
χ1311111111-1-111-1-11-1-1111-1-1111-1-1111-1-1-111-1-1-1-11111-1-1-11
χ1411111111-1-111-1-11-1-1111-1-1111-1-1111-1-1-1-1-11111-1-1-1-1111-1
χ1511111111-1-111-1-11-1-1111-1-1-1-111-1-1-1111111-1-1-1-111-1-1111-1
χ1611111111-1-111-1-11-1-1111-1-1-1-111-1-1-11111-1-11111-1-111-1-1-11
χ1722222222222-222-2-2-22-2-2-20020000-2002-200000000000000
χ1822222222222-222-2-2-22-2-2-200-20000200-2200000000000000
χ192222222222-22-2-2-222-22-2-2020020-200-20000000000000000
χ202222222222-22-2-2-222-22-2-20-200-2020020000000000000000
χ212222222222-2-2-2-22-2-2-2-22220020-200-200000000000000000
χ222222222222-2-2-2-22-2-2-2-222-200-20200200000000000000000
χ2322222222-2-22-2-2-2-2222-2-220020000-200-2200000000000000
χ2422222222-2-22-2-2-2-2222-2-2200-200002002-200000000000000
χ2522222222-2-2-2222-2-2-2-22-220200-20-20020000000000000000
χ2622222222-2-2-2222-2-2-2-22-220-20020200-20000000000000000
χ2722222222-2-2-2-222222-2-22-2200-20-200200000000000000000
χ2822222222-2-2-2-222222-2-22-2-20020200-200000000000000000
χ29444-44-4-4-44-4000000000000000000000002-22-20000000000
χ30444-44-4-4-44-400000000000000000000000-22-220000000000
χ31444-44-4-4-4-44000000000000000000000002-2-220000000000
χ32444-44-4-4-4-4400000000000000000000000-222-20000000000
χ3344-4-4-444-400004i−4i0000000000000000000000000002-22i−2i00
χ3444-4-4-444-400004i−4i000000000000000000000000000-22−2i2i00
χ3544-4-4-444-40000−4i4i0000000000000000000000000002-2−2i2i00
χ3644-4-4-444-40000−4i4i000000000000000000000000000-222i−2i00
χ374-444-44-4-4004400-400-4-44000000000000000000000000000
χ384-444-44-4-4004-400400-44-4000000000000000000000000000
χ394-444-44-4-400-44004004-4-4000000000000000000000000000
χ404-444-44-4-400-4-400-400444000000000000000000000000000
χ414-4-444-44-400000004i−4i000000000000000000002i−2i2-2000000
χ424-4-444-44-400000004i−4i00000000000000000000−2i2i-22000000
χ434-4-444-44-40000000−4i4i000000000000000000002i−2i-22000000
χ444-4-444-44-40000000−4i4i00000000000000000000−2i2i2-2000000
χ4588-88-8-8-88000000000000000000000000000000000000000
χ468-88-8-8-888000000000000000000000000000000000000000
χ478-8-8-888-88000000000000000000000000000000000000000

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