Finite Group Databasebeta

← Group #328346

Character table — Group #328346

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444424444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-111-1-1-1-1-11-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-11-1-111-1-1-1-11-11111-1-1-1-11111-1-1
χ6111111111111111111111-11-1-111-1-1-1-11-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1111-1-11-1-1-1-111111111-1-1
χ911111111-1-11-1-1-1-111111-111-1-1-1-111-111-111-1-111-1-111-1-11-1
χ1011111111-1-11-1-1-1-111111-111-1-1-1-111-111-1-1-111-1-111-1-111-11
χ1111111111-1-11-1-1-1-111111-11-1-1-111-1-111-1111-1-111-1-1-1-111-11
χ1211111111-1-11-1-1-1-111111-11-1-1-111-1-111-11-1-111-1-11111-1-11-1
χ1311111111-1-11-1-1-1-111111-1-1111-1-1-1-11-11111-1-1-1-11111-1-1-11
χ1411111111-1-11-1-1-1-111111-1-1111-1-1-1-11-111-1-11111-1-1-1-1111-1
χ1511111111-1-11-1-1-1-111111-1-1-1111111-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111-1-11-1-1-1-111111-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-11
χ172222222222222-2-2-2-22-2-2-20000002-2200-200000000000000
χ182222222222222-2-2-2-22-2-2-2000000-22-200200000000000000
χ192222222222-2-2-2222-2-22-2-202002-20000-2000000000000000
χ202222222222-2-2-2222-2-22-2-20-200-2200002000000000000000
χ212222222222-2-2-2-2-2-22-2-222202-200000-20000000000000000
χ222222222222-2-2-2-2-2-22-2-222-20-220000020000000000000000
χ2322222222-2-22-2-222-2-22-2-220000002-2-200200000000000000
χ2422222222-2-22-2-222-2-22-2-22000000-22200-200000000000000
χ2522222222-2-2-22222-22-2-22-220-2200000-20000000000000000
χ2622222222-2-2-22222-22-2-22-2-202-20000020000000000000000
χ2722222222-2-2-222-2-22-2-22-220200-220000-2000000000000000
χ2822222222-2-2-222-2-22-2-22-220-2002-200002000000000000000
χ294444-4-4-4-40004-4000000000000000000002-22-20000000000
χ304444-4-4-4-40004-400000000000000000000-22-220000000000
χ314444-4-4-4-4000-44000000000000000000002-2-220000000000
χ324444-4-4-4-4000-4400000000000000000000-222-20000000000
χ3344-4-44-4-44000004i−4i000000000000000000000000002i−2i2-200
χ3444-4-44-4-44000004i−4i00000000000000000000000000−2i2i-2200
χ3544-4-44-4-4400000−4i4i000000000000000000000000002i−2i-2200
χ3644-4-44-4-4400000−4i4i00000000000000000000000000−2i2i2-200
χ374-44-4-4-444004000044-4-4-4000000000000000000000000000
χ384-44-4-4-4440040000-4-4-444000000000000000000000000000
χ394-44-4-4-44400-400004-44-44000000000000000000000000000
χ404-44-4-4-44400-40000-4444-4000000000000000000000000000
χ414-4-444-44-44i−4i0000000000000000000000000002i−2i2-2000000
χ424-4-444-44-44i−4i000000000000000000000000000−2i2i-22000000
χ434-4-444-44-4−4i4i0000000000000000000000000002i−2i-22000000
χ444-4-444-44-4−4i4i000000000000000000000000000−2i2i2-2000000
χ4588-8-8-888-8000000000000000000000000000000000000000
χ468-88-888-8-8000000000000000000000000000000000000000
χ478-8-88-88-88000000000000000000000000000000000000000

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