Finite Group Databasebeta

← Group #328355

Character table — Group #328355

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444422244444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-11-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-11-1-1-111-1-11-1-11111-1-1-1-11111-1-1
χ6111111111111111111111-11-1-1-111-1-11-1-1-1-1-1-11111-1-1-1-111
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
χ91111111111-1-1-1-1-1-11111-111-11-11-11-1-11-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-1-1-11111-111-11-11-11-1-11-1-1-111-1-111-1-111-11
χ111111111111-1-1-1-1-1-11111-11-111-1-11-1-11-1111-1-111-1-1-1-111-11
χ121111111111-1-1-1-1-1-11111-11-111-1-11-1-11-11-1-111-1-11111-1-11-1
χ131111111111-1-1-1-1-1-11111-1-111-111-1-11-1-1111-1-1-1-11111-1-1-11
χ141111111111-1-1-1-1-1-11111-1-111-111-1-11-1-11-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-1-1-11111-1-1-1-1-11-111111-111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-1-1-11111-1-1-1-1-11-111111-1-1-11111-1-111-1-1-11
χ17222222222-22222-2-2-22-2-2-202000-2-20020000000000000000
χ18222222222-22222-2-2-22-2-2-20-20002200-20000000000000000
χ19222222222-2-2-2-2-222-22-2-2202000-2200-20000000000000000
χ20222222222-2-2-2-2-222-22-2-220-20002-20020000000000000000
χ2122222222-2222-2-222-2-22-2-2200-2-2000200000000000000000
χ2222222222-2222-2-222-2-22-2-2-20022000-200000000000000000
χ2322222222-22-2-222-2-2-2-22-22200-22000-200000000000000000
χ2422222222-22-2-222-2-2-2-22-22-2002-2000200000000000000000
χ2522222222-2-222-2-2-2-22-2-2220020000200-2-200000000000000
χ2622222222-2-222-2-2-2-22-2-22200-20000-2002200000000000000
χ2722222222-2-2-2-222222-2-22-20020000-2002-200000000000000
χ2822222222-2-2-2-222222-2-22-200-20000200-2200000000000000
χ294444-4-4-4-40000004i−4i0000000000000000000002-22i−2i000000
χ304444-4-4-4-40000004i−4i000000000000000000000-22−2i2i000000
χ314444-4-4-4-4000000−4i4i0000000000000000000002-2−2i2i000000
χ324444-4-4-4-4000000−4i4i000000000000000000000-222i−2i000000
χ3344-4-444-4-400004i−4i0000000000000000000000000002-22i−2i00
χ3444-4-444-4-400004i−4i000000000000000000000000000-22−2i2i00
χ3544-4-444-4-40000−4i4i0000000000000000000000000002-2−2i2i00
χ3644-4-444-4-40000−4i4i000000000000000000000000000-222i−2i00
χ3744-4-4-4-444004-40000000000000000000002-22-20000000000
χ3844-4-4-4-444004-4000000000000000000000-22-220000000000
χ3944-4-4-4-44400-440000000000000000000002-2-220000000000
χ4044-4-4-4-44400-44000000000000000000000-222-20000000000
χ414-44-44-44-4440000004-4-4-4000000000000000000000000000
χ424-44-44-44-44-4000000-4-444000000000000000000000000000
χ434-44-44-44-4-44000000-44-44000000000000000000000000000
χ444-44-44-44-4-4-4000000444-4000000000000000000000000000
χ458-88-8-88-88000000000000000000000000000000000000000
χ468-8-888-8-88000000000000000000000000000000000000000
χ478-8-88-888-8000000000000000000000000000000000000000

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