Finite Group Databasebeta

← Group #328325

Character table — Group #328325

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444422244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11-111-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-11-1-11-1-111-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111111-11-1-11-1-111-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-11-1-1-1-1-1-1111-1-1-1-111111111-1-1
χ91111111111-1-1-1-1-1-11111-111-111-1-1-1-111-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-1-1-11111-111-111-1-1-1-111-1-1-111-1-111-1-111-11
χ111111111111-1-1-1-1-1-11111-11-111-1-1-111-1-1111-1-111-1-1-1-111-11
χ121111111111-1-1-1-1-1-11111-11-111-1-1-111-1-11-1-111-1-11111-1-11-1
χ131111111111-1-1-1-1-1-11111-1-111-1111-1-1-1-1111-1-1-1-11111-1-1-11
χ141111111111-1-1-1-1-1-11111-1-111-1111-1-1-1-11-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-11111-1-111-1-1-11
χ17222222222-22222-2-2-22-2-2-20200-2002-200000000000000000
χ18222222222-22222-2-2-22-2-2-20-200200-2200000000000000000
χ19222222222-2-2-2-2-222-22-2-220200-200-2200000000000000000
χ20222222222-2-2-2-2-222-22-2-220-2002002-200000000000000000
χ2122222222-2222-2-222-2-22-2-2200-202-20000000000000000000
χ2222222222-2222-2-222-2-22-2-2-20020-220000000000000000000
χ2322222222-22-2-222-2-2-2-22-22200-20-220000000000000000000
χ2422222222-22-2-222-2-2-2-22-22-200202-20000000000000000000
χ2522222222-2-222-2-2-2-22-2-2220020000002-2-200000000000000
χ2622222222-2-222-2-2-2-22-2-22200-2000000-22200000000000000
χ2722222222-2-2-2-222222-2-22-2002000000-22-200000000000000
χ2822222222-2-2-2-222222-2-22-200-20000002-2200000000000000
χ294-444-4-4-44440000004-4-4-4000000000000000000000000000
χ304-444-4-4-444-4000000-4-444000000000000000000000000000
χ314-444-4-4-44-44000000-44-44000000000000000000000000000
χ324-444-4-4-44-4-4000000444-4000000000000000000000000000
χ334-44-444-4-400004-4000000000000000000000002i−2i2i−2i000000
χ344-44-444-4-400004-400000000000000000000000−2i2i−2i2i000000
χ354-44-444-4-40000-44000000000000000000000002i−2i−2i2i000000
χ364-44-444-4-40000-4400000000000000000000000−2i2i2i−2i000000
χ374-4-444-44-4004-4000000000000000000000000000002i−2i2i−2i00
χ384-4-444-44-4004-400000000000000000000000000000−2i2i−2i2i00
χ394-4-444-44-400-44000000000000000000000000000002i−2i−2i2i00
χ404-4-444-44-400-4400000000000000000000000000000−2i2i2i−2i00
χ414-4-4-4-44440000004-4000000000000000002-22-20000000000
χ424-4-4-4-44440000004-400000000000000000-22-220000000000
χ434-4-4-4-4444000000-44000000000000000002-2-220000000000
χ444-4-4-4-4444000000-4400000000000000000-222-20000000000
χ45888-8-8-88-8000000000000000000000000000000000000000
χ4688-88-88-8-8000000000000000000000000000000000000000
χ4788-8-88-8-88000000000000000000000000000000000000000

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