Finite Group Databasebeta

← Group #328357

Character table — Group #328357

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444424444444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-11-1-11-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-111-1-1-11-1-11-11111-1-1-1-11111-1-1
χ6111111111111111111111-1-111-1-1-11-1-11-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-111-1-11-1-11-1-1-1-111111111-1-1
χ91111111111-1-1-1-1-1-11111-11-11-11-1-11-11-1111-1-111-1-111-1-11-1
χ101111111111-1-1-1-1-1-11111-11-11-11-1-11-11-11-1-111-1-111-1-111-11
χ111111111111-1-1-1-1-1-11111-11-1-11-11-1-1111-111-1-111-1-1-1-111-11
χ121111111111-1-1-1-1-1-11111-11-1-11-11-1-1111-1-1-111-1-11111-1-11-1
χ131111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-111-1-1-1-11111-1-1-11
χ141111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-1-1-11111-1-11-111-11-1-1-11111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-1-1-11111-1-11-111-11-1-1-111-1-11111-1-111-1-1-11
χ17222222222-222-2-222-22-2-2-200002200-200-200000000000000
χ18222222222-222-2-222-22-2-2-20000-2-200200200000000000000
χ19222222222-2-2-222-2-2-22-2-2200002-200200-200000000000000
χ20222222222-2-2-222-2-2-22-2-220000-2200-200200000000000000
χ2122222222-2222-2-2-2-2-2-22-22002-2000-2002000000000000000
χ2222222222-2222-2-2-2-2-2-22-2200-22000200-2000000000000000
χ2322222222-22-2-22222-2-22-2-20022000-200-2000000000000000
χ2422222222-22-2-22222-2-22-2-200-2-20002002000000000000000
χ2522222222-2-22222-2-22-2-22-2220000-200-20000000000000000
χ2622222222-2-22222-2-22-2-22-2-2-2000020020000000000000000
χ2722222222-2-2-2-2-2-2222-2-2222-20000200-20000000000000000
χ2822222222-2-2-2-2-2-2222-2-222-220000-20020000000000000000
χ29444-4-4-44-400004i−4i00000000000000000002i−2i2-20000000000
χ30444-4-4-44-400004i−4i0000000000000000000−2i2i-220000000000
χ31444-4-4-44-40000−4i4i00000000000000000002i−2i-220000000000
χ32444-4-4-44-40000−4i4i0000000000000000000−2i2i2-20000000000
χ3344-44-4-4-44440000004-4-4-4000000000000000000000000000
χ3444-44-4-4-444-4000000-4-444000000000000000000000000000
χ3544-44-4-4-44-44000000-44-44000000000000000000000000000
χ3644-44-4-4-44-4-4000000444-4000000000000000000000000000
χ374-4-444-44-4004i−4i00000000000000000000000002-22i−2i000000
χ384-4-444-44-4004i−4i0000000000000000000000000-22−2i2i000000
χ394-4-444-44-400−4i4i00000000000000000000000002-2−2i2i000000
χ404-4-444-44-400−4i4i0000000000000000000000000-222i−2i000000
χ414-4-4-4-44440000004-400000000000000000000000002-22-200
χ424-4-4-4-44440000004-40000000000000000000000000-22-2200
χ434-4-4-4-4444000000-4400000000000000000000000002-2-2200
χ444-4-4-4-4444000000-440000000000000000000000000-222-200
χ4588-8-888-8-8000000000000000000000000000000000000000
χ468-888-88-8-8000000000000000000000000000000000000000
χ478-88-88-8-88000000000000000000000000000000000000000

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