Finite Group Databasebeta

← Group #328964

Character table — Group #328964

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
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
χ9111111111-1-111-1-1-1-1111-1111-111-1-1-1-1-1111-1-111-1-111-1-11-1
χ10111111111-1-111-1-1-1-1111-1111-111-1-1-1-1-11-1-111-1-111-1-111-11
χ11111111111-1-111-1-1-1-1111-11-11-1-1-111-111-111-1-111-1-1-1-111-11
χ12111111111-1-111-1-1-1-1111-11-11-1-1-111-111-1-1-111-1-11111-1-11-1
χ13111111111-1-111-1-1-1-1111-1-11-111-1111-1-1-111-1-1-1-11111-1-1-11
χ14111111111-1-111-1-1-1-1111-1-11-111-1111-1-1-1-1-11111-1-1-1-1111-1
χ15111111111-1-111-1-1-1-1111-1-1-1-11-11-1-1111111-1-1-1-111-1-1111-1
χ16111111111-1-111-1-1-1-1111-1-1-1-11-11-1-11111-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2-2-22-2-220000022-2000-200000000000000
χ1822222222222-2-2-2-2-2-22-2-2200000-2-22000200000000000000
χ19222222222-2-2-2-222222-2-2-2000002-22000-200000000000000
χ20222222222-2-2-2-222222-2-2-200000-22-2000200000000000000
χ2122222222-2222-222-2-2-22-2-20200-200002-2000000000000000
χ2222222222-2222-222-2-2-22-2-20-20020000-22000000000000000
χ2322222222-222-22-2-222-2-22-220-2-20000200000000000000000
χ2422222222-222-22-2-222-2-22-2-20220000-200000000000000000
χ2522222222-2-2-22-2-2-222-22-220200-20000-22000000000000000
χ2622222222-2-2-22-2-2-222-22-220-200200002-2000000000000000
χ2722222222-2-2-2-2222-2-2-2-22220-220000-200000000000000000
χ2822222222-2-2-2-2222-2-2-2-222-202-20000200000000000000000
χ2944-444-4-4-44004-40000-4-44000000000000000000000000000
χ3044-444-4-4-4400-440000-44-4000000000000000000000000000
χ3144-444-4-4-4-4004400004-4-4000000000000000000000000000
χ3244-444-4-4-4-400-4-40000444000000000000000000000000000
χ3344-4-4-444-404i−4i00000000000000000000002-22i−2i0000000000
χ3444-4-4-444-404i−4i0000000000000000000000-22−2i2i0000000000
χ3544-4-4-444-40−4i4i00000000000000000000002-2−2i2i0000000000
χ3644-4-4-444-40−4i4i0000000000000000000000-222i−2i0000000000
χ374-444-4-44-4000004i−4i000000000000000000000000002-22i−2i00
χ384-444-4-44-4000004i−4i00000000000000000000000000-22−2i2i00
χ394-444-4-44-400000−4i4i000000000000000000000000002-2−2i2i00
χ404-444-4-44-400000−4i4i00000000000000000000000000-222i−2i00
χ414-4-4-44-44400000004-4000000000000000000002-22-2000000
χ424-4-4-44-44400000004-400000000000000000000-22-22000000
χ434-4-4-44-4440000000-44000000000000000000002-2-22000000
χ444-4-4-44-4440000000-4400000000000000000000-222-2000000
χ45888-8-8-8-88000000000000000000000000000000000000000
χ468-88-888-8-8000000000000000000000000000000000000000
χ478-8-88-88-88000000000000000000000000000000000000000

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