Finite Group Databasebeta

← Group #502694

Character table — Group #502694

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222244444444222444444442224444444448888888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-11-1-111-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-1-1-11-1111-11-11-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-111-1-1-1-1-1-1-1-11-1-1-11-111111111-1-1
χ511111111111111111-1-111-1-1-1-11-11-111-111-1-111111-1-1-1-1-1-1
χ611111111111111111-1-111-1-1-1-11-1-1-1-1-1-11-1-1-11-1-1-1-1111111
χ711111111111111111-1-1-1-1-1-111-111111-1-111-1-1-1-1-1-11111-1-1
χ811111111111111111-1-1-1-1-1-111-11-11-1-1-1-1-11-1-11111-1-1-1-111
χ911111111-1-11111-1-1-1111111111-111-11-1-1-1-1-1-111-1-111-1-11-1
χ1011111111-1-11111-1-1-1111111111-1-111-1-1-11-1-1-1-1-111-1-111-11
χ1111111111-1-11111-1-1-111-1-111-1-1-111-1-11-11-11-11-1-111-1-1111-1
χ1211111111-1-11111-1-1-111-1-111-1-1-11-1-11-1-1111-1111-1-111-1-1-11
χ1311111111-1-11111-1-1-1-1-111-1-1-1-1111-1-111-1-111-111-1-1-1-111-11
χ1411111111-1-11111-1-1-1-1-111-1-1-1-111-1-11-11-1111-1-1-11111-1-11-1
χ1511111111-1-11111-1-1-1-1-1-1-1-1-111-1-111-1111-1-111-1-11111-1-1-11
χ1611111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1111-11111-1-1-1-1111-1
χ172222222-222-2-22-22-2-2000000220-20-2000002000000000000
χ182222222-222-2-22-22-2-2000000-2-2020200000-2000000000000
χ192222222-2-2-2-2-22-2-22200000022020-200000-2000000000000
χ202222222-2-2-2-2-22-2-222000000-2-20-202000002000000000000
χ21222222-2222-2-2-22-22-200220000-2000000-200020000000000
χ22222222-2222-2-2-22-22-200-2-2000020000002000-20000000000
χ23222222-22-2-2-2-2-222-2200220000-20000002000-20000000000
χ24222222-22-2-2-2-2-222-2200-2-200002000000-200020000000000
χ25222222-2-22222-2-2-2-222200-2-2000000002000-200000000000
χ26222222-2-22222-2-2-2-22-2-2002200000000-2000200000000000
χ27222222-2-2-2-222-2-222-22200-2-200000000-2000200000000000
χ28222222-2-2-2-222-2-222-2-2-20022000000002000-200000000000
χ292-22-22-22-2002-2-220002i−2i002i−2i000000000000002-2002i−2i0000
χ302-22-22-22-2002-2-220002i−2i002i−2i00000000000000-2200−2i2i0000
χ312-22-22-22-2002-2-22000−2i2i00−2i2i000000000000002-200−2i2i0000
χ322-22-22-22-2002-2-22000−2i2i00−2i2i00000000000000-22002i−2i0000
χ332-22-22-2-22002-22-20002i−2i00−2i2i00000000000000002i−2i002-200
χ342-22-22-2-22002-22-20002i−2i00−2i2i0000000000000000−2i2i00-2200
χ352-22-22-2-22002-22-2000−2i2i002i−2i00000000000000002i−2i00-2200
χ362-22-22-2-22002-22-2000−2i2i002i−2i0000000000000000−2i2i002-200
χ374444-4-4004-400000000000000000202-200-20000000000000
χ384444-4-4004-400000000000000000-20-220020000000000000
χ394444-4-400-440000000000000000020-2-20020000000000000
χ404444-4-400-4400000000000000000-202200-20000000000000
χ414-44-44-44400-44-4-4000000000000000000000000000000000
χ424-44-44-4-4-400-4444000000000000000000000000000000000
χ4388-8-80000000000000004i−4i00000000000000000000000000
χ4488-8-8000000000000000−4i4i00000000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-8800000000000000000004-40000000000000000000000
χ478-8-880000000000000000000-440000000000000000000000

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