Finite Group Databasebeta

← Group #249804

Character table — Group #249804

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111224444444444888888888888881616161616161616161616161616161616163232
order12224422244444442244448888888822224444448888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-11-111111-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1-1111111
χ51111111111111111-1-111-1-111111111-1-11-11-1-1-1-1-111-1-111-1-11-1
χ61111111111111111-1-111-1-111111111-1-1-11-11-1-1-1-1-1-111-1-111-11
χ71111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-11-1-111111-1-1-1-111-11
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-11-1111-1-11111-1-11-1
χ91111111-1-1-1-11111111-1-1111111-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-111
χ101111111-1-1-1-11111111-1-1111111-1-1-1-1-11-1-1-1-1-11-1-111111111-1-1
χ111111111-1-1-1-11111111-1-111-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1
χ121111111-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ131111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-1111-1
χ141111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11-1-11-111-11111-1-111-1-1-11
χ151111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111-11-111-1-1-1-11111-1-1-11
χ161111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-11-1111-1-111-1-1-1-1111-1
χ1722222222222-2-2-2-222-2-2-22-200000000200000-20000000000000
χ1822222222222-2-2-2-22-22-2-2-2200000000-20000020000000000000
χ192222222-2-2-2-2-2-2-2-222-2222-200000000-20000020000000000000
χ202222222-2-2-2-2-2-2-2-22-2222-2200000000200000-20000000000000
χ21222222-222-2-222-2-2-2002-2000000000000020-20000002-2000000
χ22222222-222-2-222-2-2-2002-20000000000000-202000000-22000000
χ23222222-222-2-2-2-222-200-2200000000000020-2000002-200000000
χ24222222-222-2-2-2-222-200-22000000000000-20200000-2200000000
χ25222222-2-2-22222-2-2-200-22000000000000020-2000000-22000000
χ26222222-2-2-22222-2-2-200-220000000000000-2020000002-2000000
χ27222222-2-2-222-2-222-2002-200000000000020-200000-2200000000
χ28222222-2-2-222-2-222-2002-2000000000000-202000002-200000000
χ292222-2-2-200002-22-222200-2-2000022-2-2000000002-20000000000
χ302222-2-2-200002-22-222200-2-20000-2-22200000000-220000000000
χ312222-2-2-200002-22-22-2-20022000022-2-200000000-220000000000
χ322222-2-2-200002-22-22-2-200220000-2-222000000002-20000000000
χ332222-2-2-20000-22-2222-200-2222-2-200000200000-2000000000000
χ342222-2-2-20000-22-2222-200-22-2-22200000-2000002000000000000
χ352222-2-2-20000-22-222-22002-222-2-200000-2000002000000000000
χ362222-2-2-20000-22-222-22002-2-2-22200000200000-2000000000000
χ374444-4-4400004-4-44-40000000000000000000000000000000000
χ384444-4-440000-444-4-40000000000000000000000000000000000
χ394-4-444-40004-4000000000002-22-22-22-200000000000000000000
χ404-4-444-40004-400000000000-22-22-22-2200000000000000000000
χ414-4-444-4000-44000000000002-22-2-22-2200000000000000000000
χ424-4-444-4000-4400000000000-22-222-22-200000000000000000000
χ434-4-44-4404-400000000000002-2-222-2-2200000000000000000000
χ444-4-44-4404-40000000000000-222-2-222-200000000000000000000
χ454-4-44-440-4400000000000002-2-22-222-200000000000000000000
χ464-4-44-440-440000000000000-222-22-2-2200000000000000000000
χ4788-8-80000000000000000000000000000000000000000002i2−2i200
χ4888-8-8000000000000000000000000000000000000000000−2i22i200
χ498-88-800000000000000000000000000000000000000002i2−2i20000
χ508-88-80000000000000000000000000000000000000000−2i22i20000

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