Finite Group Databasebeta

← Group #299232

Character table — Group #299232

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444444444888888881616161616161616161616161616161632323232
order12222244442244444488884488888822444444888888884444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-11-11
χ7111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11-11
χ8111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1
χ91111111111-1-1-1-111111111-1-111-1-1-1-11-111-1-11-111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111-1-111-1-1-1-11-111-1-11-1-1-111-1-111-1-111
χ111111111111-1-1-1-111111111-1-111-1-1-1-1-11-1-111-1111-1-111-1-1-1-111
χ121111111111-1-1-1-111111111-1-111-1-1-1-1-11-1-111-11-1-111-1-11111-1-1
χ131111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1111-111-1-1-1-1111-1-11
χ141111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1111-1-1-11111-1-1-111-1
χ151111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1111-1-1-1-111-111-1
χ161111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-11-1-11111-1-11-1-11
χ1722222222222222-2-2-2-22222-2-2-2-222-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-222-2-22200000000000000000000
χ192222222222-2-2-2-2-2-2-2-2222222-2-2-2-22200000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000
χ21222222-2-2-2-222-2-222-2-200002-20000000000000000002-22-20000
χ22222222-2-2-2-222-2-222-2-200002-2000000000000000000-22-220000
χ23222222-2-2-2-222-2-2-2-2220000-22000000000000002-22-200000000
χ24222222-2-2-2-222-2-2-2-2220000-2200000000000000-22-2200000000
χ25222222-2-2-2-2-2-22222-2-20000-220000000000000000002-2-220000
χ26222222-2-2-2-2-2-22222-2-20000-22000000000000000000-222-20000
χ27222222-2-2-2-2-2-222-2-22200002-2000000000000002-2-2200000000
χ28222222-2-2-2-2-2-222-2-22200002-200000000000000-222-200000000
χ292222-2-2-2-22200002-22-222-2-2002-2000002002-20-2000000000000
χ302222-2-2-2-22200002-22-222-2-2002-200000-200-2202000000000000
χ312222-2-2-2-22200002-22-2-2-22200-2200000200-220-2000000000000
χ322222-2-2-2-22200002-22-2-2-22200-2200000-2002-202000000000000
χ332222-2-2-2-2220000-22-2222-2-200-220000202-200-20000000000000
χ342222-2-2-2-2220000-22-2222-2-200-220000-20-220020000000000000
χ352222-2-2-2-2220000-22-22-2-222002-2000020-2200-20000000000000
χ362222-2-2-2-2220000-22-22-2-222002-20000-202-20020000000000000
χ374444-4-444-4-400004-4-4400000000000000000000000000000000
χ384444-4-444-4-40000-444-400000000000000000000000000000000
χ394-4-444-44-44-40000000000000000004i−4i00000000000000000000
χ404-4-444-44-44-4000000000000000000−4i4i00000000000000000000
χ414-4-444-4-44-4400000000000000004i−4i0000000000000000000000
χ424-4-444-4-44-440000000000000000−4i4i0000000000000000000000
χ434-4-44-444-4-444-44-4000000000000000000000000000000000000
χ444-4-44-444-4-44-44-44000000000000000000000000000000000000
χ454-4-44-44-444-44-4-44000000000000000000000000000000000000
χ464-4-44-44-444-4-444-4000000000000000000000000000000000000
χ4788-8-8000000000000000042−420000000000000000000000000000
χ4888-8-80000000000000000−42420000000000000000000000000000
χ498-88-80000000000000042−42000000000000000000000000000000
χ508-88-800000000000000−4242000000000000000000000000000000

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