Finite Group Databasebeta

← Group #256480

Character table — Group #256480

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222244444444444422444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-11-1-1-1-1111-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11-11-11-1-1-111-1111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11-11-11-1-1-1-1-1-11-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-11-1-1-111111-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-11-1-1-1111-1-1-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-111111-1-1-1111-111-1-1-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-111111-1-1-1111-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111-111-1-1-1-1111-11-1-111-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111-111-1-1-1-11-1-1-1111-1-11111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-111-111-1-11-1-11-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1111111-1-111-1-1-1-111
χ17222222222222-2-2-2-222-2-222-2-20002000000-2000000000000000
χ18222222222222-2-2-2-222-2-2-2-222000-20000002000000000000000
χ19222222222222-2-2-2-2-2-22222-2-2000-20000002000000000000000
χ20222222222222-2-2-2-2-2-222-2-2220002000000-2000000000000000
χ2122222222-2-2-2-222-2-22-22-20000020002-2-2000000000000000000
χ2222222222-2-2-2-222-2-22-22-200000-2000-222000000000000000000
χ2322222222-2-2-2-222-2-2-22-22000002000-22-2000000000000000000
χ2422222222-2-2-2-222-2-2-22-2200000-20002-22000000000000000000
χ2522222222-2-2-2-2-2-2222-2-2200002020-2000000-200000000000000
χ2622222222-2-2-2-2-2-2222-2-220000-20-202000000200000000000000
χ2722222222-2-2-2-2-2-222-222-2000020-20-2000000200000000000000
χ2822222222-2-2-2-2-2-222-222-20000-20202000000-200000000000000
χ29222-22-2-2-22-2-222-22-200002i−2i2i−2i0000000000002i−2i002-200000000
χ30222-22-2-2-22-2-222-22-200002i−2i2i−2i000000000000−2i2i00-2200000000
χ31222-22-2-2-22-2-222-22-20000−2i2i−2i2i0000000000002i−2i00-2200000000
χ32222-22-2-2-22-2-222-22-20000−2i2i−2i2i000000000000−2i2i002-200000000
χ33222-22-2-2-22-2-22-22-2200002i−2i−2i2i000000002i−2i00002-20000000000
χ34222-22-2-2-22-2-22-22-2200002i−2i−2i2i00000000−2i2i0000-220000000000
χ35222-22-2-2-22-2-22-22-220000−2i2i2i−2i000000002i−2i0000-220000000000
χ36222-22-2-2-22-2-22-22-220000−2i2i2i−2i00000000−2i2i00002-20000000000
χ37444-44-4-4-4-444-44-4-440000000000000000000000000000000000
χ38444-44-4-4-4-444-4-444-40000000000000000000000000000000000
χ394-4-444-4-4444-4-40000000000000000000000000000000000002i2−2i2
χ404-4-444-4-4444-4-4000000000000000000000000000000000000−2i22i2
χ414-4-444-4-44-4-444000000000000000000000000000000000022−2200
χ424-4-444-4-44-4-4440000000000000000000000000000000000−222200
χ434-4-4-4444-44-44-4000000000000000000000000000000002i2−2i20000
χ444-4-4-4444-44-44-400000000000000000000000000000000−2i22i20000
χ454-4-4-4444-4-44-4400000000000000000000000000000022−22000000
χ464-4-4-4444-4-44-44000000000000000000000000000000−2222000000
χ4788-88-88-8-8000000000000000000000000000000000000000000
χ4888-8-8-8-888000000000000000000000000000000000000000000
χ498-888-8-88-8000000000000000000000000000000000000000000
χ508-88-8-88-88000000000000000000000000000000000000000000

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