Finite Group Databasebeta

← Group #248245

Character table — Group #248245

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222244444444444444444444444222244444448888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-11111-1-1-1-1-1-1-1-11-11-1111-1-111-1-111-1-11-1
χ611111111111111111-1-11111-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-11
χ711111111111111111-1-1-1-111-1-11111-1-11-11-1-1-1-11111-1-1-1-111-11
χ811111111111111111-1-1-1-111-1-11111-1-1-11-11-1-1-111-1-11111-1-11-1
χ9111111111111111-1-11111-1-1111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111
χ10111111111111111-1-11111-1-1111111-1-1-1-1-1-11-1-1-1-111111111-1-1
χ11111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-11111-1-1-1-11111-1-1
χ12111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ13111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-11-11-1-111-1-111-1-1111-1
χ14111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-11-111-1-11111-1-111-1-1-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111111-11-1-111-1-1-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1111111-11-11-111-1-111-1-1-1-1111-1
χ1722222222-2-222-2-2-200222200-2-2-2-222000000-200000000000000
χ1822222222-2-222-2-2-20022-2-200-2-222-2-2000000200000000000000
χ1922222222-2-222-2-2-200-2-222002222-2-2000000-200000000000000
χ2022222222-2-222-2-2-200-2-2-2-20022-2-222000000200000000000000
χ21222222-2-222-2-22-2-2222-200-2-22-200002-20000000000000000000
χ22222222-2-222-2-22-2-222-2200-2-2-220000-220000000000000000000
χ23222222-2-222-2-22-2-2-2-22-200222-20000-220000000000000000000
χ24222222-2-222-2-22-2-2-2-2-220022-2200002-20000000000000000000
χ25222222-2-2-2-2-2-2-222002-20000-22000000000002-22-20000000000
χ26222222-2-2-2-2-2-2-222002-20000-2200000000000-22-220000000000
χ27222222-2-2-2-2-2-2-22200-2200002-2000000000002-2-220000000000
χ28222222-2-2-2-2-2-2-22200-2200002-200000000000-222-20000000000
χ292222-2-22-2222-2-22-22-200002-200000000020-200000002-2000000
χ302222-2-22-2222-2-22-22-200002-2000000000-2020000000-22000000
χ312222-2-22-2222-2-22-2-220000-2200000000020-20000000-22000000
χ322222-2-22-2222-2-22-2-220000-22000000000-20200000002-2000000
χ332222-2-2-2222-22-2-222-20000-220000000020-20000002-200000000
χ342222-2-2-2222-22-2-222-20000-2200000000-202000000-2200000000
χ352222-2-2-2222-22-2-22-2200002-20000000020-2000000-2200000000
χ362222-2-2-2222-22-2-22-2200002-200000000-2020000002-200000000
χ374444-4-44-4-4-44-44-4400000000000000000000000000000000000
χ384444-4-4-44-4-4-4444-400000000000000000000000000000000000
χ394-44-44-44-400-44000000000000000000000000000000002i2−2i20000
χ404-44-44-44-400-4400000000000000000000000000000000−2i22i20000
χ414-44-44-4-44004-400000000000000000000000000000000002i2−2i200
χ424-44-44-4-44004-40000000000000000000000000000000000−2i22i200
χ434-44-4-444400-4-400000000000004i−4i00000000000000000000000
χ444-44-4-444400-4-40000000000000−4i4i00000000000000000000000
χ454-44-4-44-4-4004400000004-400000000000000000000000000000
χ464-44-4-44-4-400440000000-4400000000000000000000000000000
χ4788-8-800008-80000000000000000000000000000000000000000
χ4888-8-80000-880000000000000000000000000000000000000000
χ498-8-88000000000000000000000004-4000000000000000000000
χ508-8-8800000000000000000000000-44000000000000000000000

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