Finite Group Databasebeta

← Group #328939

Character table — Group #328939

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444424444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-11-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-11-1-1-111-1-1-11-11111-1-1-1-11111-1-1
χ6111111111111111111111-11-1-1-111-1-1-11-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-11-1-1-1-111-1-111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-11-1-1-1-111-1-11-1-1-1-111111111-1-1
χ91111111111-1-1-1-11-1-1111-111-1-1-1-1-11111-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-11-1-1111-111-1-1-1-1-11111-1-1-111-1-111-1-111-11
χ111111111111-1-1-1-11-1-1111-11-11-1-111-1-11-1111-1-111-1-1-1-111-11
χ121111111111-1-1-1-11-1-1111-11-11-1-111-1-11-11-1-111-1-11111-1-11-1
χ131111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-11111-1-1-1-11111-1-1-11
χ141111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-111-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-11-1-1111-1-1-1-1111111-1-1-111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-11
χ17222222222-222-2-2-2222-2-2-200200002-200-200000000000000
χ18222222222-222-2-2-2222-2-2-200-20000-2200200000000000000
χ19222222222-2-2-222-2-2-22-2-220020000-2200-200000000000000
χ20222222222-2-2-222-2-2-22-2-2200-200002-200200000000000000
χ2122222222-2222-2-2-2-2-2-22-22020002-2000-2000000000000000
χ2222222222-2222-2-2-2-2-2-22-220-2000-220002000000000000000
χ2322222222-22-2-222-222-22-2-202000-22000-2000000000000000
χ2422222222-22-2-222-222-22-2-20-20002-20002000000000000000
χ2522222222-2-222222-2-2-2-22-22002-20000-20000000000000000
χ2622222222-2-222222-2-2-2-22-2-200-22000020000000000000000
χ2722222222-2-2-2-2-2-2222-2-222200-220000-20000000000000000
χ2822222222-2-2-2-2-2-2222-2-222-2002-2000020000000000000000
χ29444-4-4-44-4440000-400-4-44000000000000000000000000000
χ30444-4-4-44-44-40000400-44-4000000000000000000000000000
χ31444-4-4-44-4-4400004004-4-4000000000000000000000000000
χ32444-4-4-44-4-4-40000-400444000000000000000000000000000
χ3344-44-4-4-4400000004-400000000000000002i−2i2i−2i0000000000
χ3444-44-4-4-4400000004-40000000000000000−2i2i−2i2i0000000000
χ3544-44-4-4-440000000-4400000000000000002i−2i−2i2i0000000000
χ3644-44-4-4-440000000-440000000000000000−2i2i2i−2i0000000000
χ374-44-44-4-4400004-4000000000000000000000002i−2i2i−2i000000
χ384-44-44-4-4400004-400000000000000000000000−2i2i−2i2i000000
χ394-44-44-4-440000-44000000000000000000000002i−2i−2i2i000000
χ404-44-44-4-440000-4400000000000000000000000−2i2i2i−2i000000
χ414-4-444-44-4004-4000000000000000000000000000002i−2i2i−2i00
χ424-4-444-44-4004-400000000000000000000000000000−2i2i−2i2i00
χ434-4-444-44-400-44000000000000000000000000000002i−2i−2i2i00
χ444-4-444-44-400-4400000000000000000000000000000−2i2i2i−2i00
χ4588-8-888-8-8000000000000000000000000000000000000000
χ468-888-88-8-8000000000000000000000000000000000000000
χ478-8-8-8-8888000000000000000000000000000000000000000

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