Finite Group Databasebeta

← Group #328913

Character table — Group #328913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111122224444448881616161616161616161616161616161616161616161616163232
order12222222444444444444422444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-111-1-1-1-11-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-11-1-11-1-1-1-111-11111-1-1-1-11111-1-1
χ6111111111111111111111-11-1-11-1-1-1-111-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1111-1-1-111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1111-1-1-11-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111-1-1-1111-111-1-1-1-1-1111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111-1-1-1111-111-1-1-1-1-11-1-111-1-111-1-111-11
χ1111111111-1-1-1-1111111-1-1-11-11-1-1-111-111-111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1111111-1-1-11-11-1-1-111-111-1-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-1-11-111-1111-1-1-111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-1-11-111-1111-1-1-1-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-1-1-1-11-11-1-1111111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-1-1-11-11-1-11111-1-11111-1-111-1-1-11
χ172222222222222-2-22-2-22-2-20000022-2000-200000000000000
χ182222222222222-2-22-2-22-2-200000-2-22000200000000000000
χ19222222222222-22-2-22-2-22-220-2-20000200000000000000000
χ20222222222222-22-2-22-2-22-2-20220000-200000000000000000
χ21222222222222-2-22-2-22-2-220200-200002-2000000000000000
χ22222222222222-2-22-2-22-2-220-20020000-22000000000000000
χ2322222222-2-2-2-22-2-22-2-2-222000002-22000-200000000000000
χ2422222222-2-2-2-22-2-22-2-2-22200000-22-2000200000000000000
χ2522222222-2-2-2-2-22-2-22-22-2220-220000-200000000000000000
χ2622222222-2-2-2-2-22-2-22-22-22-202-20000200000000000000000
χ2722222222-2-2-2-2-2-22-2-2222-20200-20000-22000000000000000
χ2822222222-2-2-2-2-2-22-2-2222-20-200200002-2000000000000000
χ2944-444-4-4-4000044-4-4-4400000000000000000000000000000
χ3044-444-4-4-400004-44-44-400000000000000000000000000000
χ3144-444-4-4-40000-4444-4-400000000000000000000000000000
χ3244-444-4-4-40000-4-4-444400000000000000000000000000000
χ3344-4-4-444-44i4i−4i−4i0000000000000000000002-22i−2i0000000000
χ3444-4-4-444-44i4i−4i−4i000000000000000000000-22−2i2i0000000000
χ3544-4-4-444-4−4i−4i4i4i0000000000000000000002-2−2i2i0000000000
χ3644-4-4-444-4−4i−4i4i4i000000000000000000000-222i−2i0000000000
χ374-444-4-44-44i−4i4i−4i000000000000000000000000000002-22i−2i00
χ384-444-4-44-44i−4i4i−4i00000000000000000000000000000-22−2i2i00
χ394-444-4-44-4−4i4i−4i4i000000000000000000000000000002-2−2i2i00
χ404-444-4-44-4−4i4i−4i4i00000000000000000000000000000-222i−2i00
χ414-4-4-44-4444-4-4400000000000000000000000002-22-2000000
χ424-4-4-44-4444-4-440000000000000000000000000-22-22000000
χ434-4-4-44-444-444-400000000000000000000000002-2-22000000
χ444-4-4-44-444-444-40000000000000000000000000-222-2000000
χ45888-8-8-8-88000000000000000000000000000000000000000
χ468-88-888-8-8000000000000000000000000000000000000000
χ478-8-88-88-88000000000000000000000000000000000000000

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