Finite Group Databasebeta

← Group #248421

Character table — Group #248421

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222244444444422222244422244444444448888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-11-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1111-1-11111-111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111-1-1111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-1111-1-1-1-11-11-111111-1-1-1-1-1-1-1-1-1-111
χ611111111111111111-1-1111-1-1-1-1-1-1-1-11-1-111-1-111111111-1-1
χ711111111111111111-1-1-1-11-1-1111-11-1-111-1-111-1-1-1-11111-1-1
χ811111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ9111111111-1-11111-1-11111-111111-11-11-1-1-1-1-1-111-1-111-1-11-1
χ10111111111-1-11111-1-11111-11111-1-1-1-1111-1-1-1-1-1-111-1-111-11
χ11111111111-1-11111-1-111-1-1-111-1-11-11-1-1-1-1111111-1-1-1-111-11
χ12111111111-1-11111-1-111-1-1-111-1-1-1-1-1-1-1111111-1-11111-1-11-1
χ13111111111-1-11111-1-1-1-111-1-1-1-1-111111-1-1-1-111-1-111-1-1111-1
χ14111111111-1-11111-1-1-1-111-1-1-1-1-1-11-11111-1-11111-1-111-1-1-11
χ15111111111-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-11111-1-1-11
χ16111111111-1-11111-1-1-1-1-1-1-1-1-111-11-11-11111-1-111-1-1-1-1111-1
χ1722222222222-2-2-2-22-22200-2-2-2000-20200000000000000000
χ1822222222222-2-2-2-22-2-2-200-22200020-200000000000000000
χ19222222222-2-2-2-2-2-2-2222002-2-200020-200000000000000000
χ20222222222-2-2-2-2-2-2-22-2-200222000-20200000000000000000
χ21222222-2-2-22222-2-2-2-200002002-20000000002-20000000000
χ22222222-2-2-22222-2-2-2-20000200-22000000000-220000000000
χ23222222-2-2-222-2-222-220022-200000000-200-22000000000000
χ24222222-2-2-222-2-222-2200-2-2-2000000002002-2000000000000
χ25222222-2-2-2-2-222-2-2220000-2002-2000000000-220000000000
χ26222222-2-2-2-2-222-2-2220000-200-220000000002-20000000000
χ27222222-2-2-2-2-2-2-2222-20022200000000-2002-2000000000000
χ28222222-2-2-2-2-2-2-2222-200-2-2200000000200-22000000000000
χ292222-2-222-2002-22-2002-20002-200000002-20000002-2000000
χ302222-2-222-2002-22-2002-20002-20000000-22000000-22000000
χ312222-2-222-2002-22-200-22000-2200000002-2000000-22000000
χ322222-2-222-2002-22-200-22000-220000000-220000002-2000000
χ332222-2-222-200-22-22002-2000-220020-2000000002-200000000
χ342222-2-222-200-22-22002-2000-2200-20200000000-2200000000
χ352222-2-222-200-22-2200-220002-20020-200000000-2200000000
χ362222-2-222-200-22-2200-220002-200-202000000002-200000000
χ374444-4-4-4-44004-4-4400000000000000000000000000000000
χ384444-4-4-4-4400-444-400000000000000000000000000000000
χ3944-4-44-40004i−4i0000000000000000000000000000002-22i−2i00
χ4044-4-44-40004i−4i000000000000000000000000000000-22−2i2i00
χ4144-4-44-4000−4i4i0000000000000000000000000000002-2−2i2i00
χ4244-4-44-4000−4i4i000000000000000000000000000000-222i−2i00
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-80000000000000004-400000000000000000000000000
χ458-88-8000000000000000-4400000000000000000000000000
χ468-8-88008-8000000000000000000000000000000000000000
χ478-8-8800-88000000000000000000000000000000000000000

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