Finite Group Databasebeta

← Group #248253

Character table — Group #248253

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222244444444422224444444444444444444448888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-111-1-111-111-1-11111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111
χ611111111111111111-1-111-1-1111111-1-1-1-1-1-11-1-1-1-111111111-1-1
χ711111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-1
χ811111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-111
χ9111111111111111-1-111-1-11111-1-1-1-11-111-1-111-1-1-111-1-111-1-11-1
χ10111111111111111-1-111-1-11111-1-1-1-1-1111-1-11-11-1-1-1-111-1-111-11
χ11111111111111111-1-111-1-111-1-111111-1-1-1-1-1-11-11111-1-1-1-111-11
χ12111111111111111-1-111-1-111-1-11111-11-1-1-1-1-1-1111-1-11111-1-11-1
χ13111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11111-111-1-111-1-1111-1
χ14111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1111-111111-1-111-1-1-11
χ15111111111111111-1-1-1-1-1-1-1-1-1-111111-11111-11-1-1-1-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-11111-111111-1-11-1-111-1-1-1-1111-1
χ1722222222-2-222-2-2-22200-2-2002222-2-2000000-200000000000000
χ1822222222-2-222-2-2-22200-2-200-2-2-2-222000000200000000000000
χ1922222222-2-222-2-2-2-2-200220022-2-222000000-200000000000000
χ2022222222-2-222-2-2-2-2-2002200-2-222-2-2000000200000000000000
χ21222222-2-222-2-22-2-22-2222-2-2-200000000002-2000000000000000
χ22222222-2-222-2-22-2-22-2-2-22-2220000000000-22000000000000000
χ23222222-2-222-2-22-2-2-2222-22-2-20000000000-22000000000000000
χ24222222-2-222-2-22-2-2-22-2-2-222200000000002-2000000000000000
χ25222222-2-2-2-2-2-2-2222-200-2200000000002-2000002-20000000000
χ26222222-2-2-2-2-2-2-2222-200-220000000000-2200000-220000000000
χ27222222-2-2-2-2-2-2-222-22002-200000000002-200000-220000000000
χ28222222-2-2-2-2-2-2-222-22002-20000000000-22000002-20000000000
χ292222-2-22-2222-2-22-2002-2002-200000002000000-200002-2000000
χ302222-2-22-2222-2-22-2002-2002-20000000-200000020000-22000000
χ312222-2-22-2222-2-22-200-2200-2200000002000000-20000-22000000
χ322222-2-22-2222-2-22-200-2200-220000000-2000000200002-2000000
χ332222-2-2-2222-22-2-22002-200-220000002000000-20002-200000000
χ342222-2-2-2222-22-2-22002-200-22000000-20000002000-2200000000
χ352222-2-2-2222-22-2-2200-22002-20000002000000-2000-2200000000
χ362222-2-2-2222-22-2-2200-22002-2000000-200000020002-200000000
χ374444-4-44-4-4-44-44-4400000000000000000000000000000000000
χ384444-4-4-44-4-4-4444-400000000000000000000000000000000000
χ394-44-44-44400-4-4000000000004-40000000000000000000000000
χ404-44-44-44400-4-400000000000-440000000000000000000000000
χ414-44-44-4-4-400440000000000000004i−4i000000000000000000000
χ424-44-44-4-4-40044000000000000000−4i4i000000000000000000000
χ434-44-4-444-400-4400000000000000000000000000000000002i2−2i200
χ444-44-4-444-400-440000000000000000000000000000000000−2i22i200
χ454-44-4-44-44004-4000000000000000000000000000000002i2−2i20000
χ464-44-4-44-44004-400000000000000000000000000000000−2i22i20000
χ4788-8-800008-80000000000000000000000000000000000000000
χ4888-8-80000-880000000000000000000000000000000000000000
χ498-8-880000000000000000000004i−4i00000000000000000000000
χ508-8-88000000000000000000000−4i4i00000000000000000000000

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