Finite Group Databasebeta

← Group #503467

Character table — Group #503467

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444224444444444444444444444444444488
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1111-1-111-111-1-11111-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111-1-111111-1-11111-11-1111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111-1-111111-1-111-1-1-11-1-1-11-1-1-1-111111111-1-1
χ711111111111111-1-1111-1-111-1-111-1-1111-1-1-111-1-1-1-11111-1-1
χ811111111111111-1-1111-1-111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-111
χ911111111111-1-1111-1-1-11111111-1-1-1-11-1-11-11-111-1-111-1-11-1
χ1011111111111-1-1111-1-1-1111111-11-1-1-1-11-11-11-1-1-111-1-111-11
χ1111111111111-1-1111-1-1-1-1-1-1-1-1-11-1-1111-111-1-1111-1-1-1-111-11
χ1211111111111-1-1111-1-1-1-1-1-1-1-1-1-11-111-1111-1-11-1-11111-1-11-1
χ1311111111111-1-11-1-1-1-1-111-1-1111-11-111-1-1-11-11-1-111-1-1111-1
χ1411111111111-1-11-1-1-1-1-111-1-111-111-11-11-1-11-1111-1-111-1-1-11
χ1511111111111-1-11-1-1-1-1-1-1-111-1-11-111-11-11-111-1-1-11111-1-1-11
χ1611111111111-1-11-1-1-1-1-1-1-111-1-1-1111-1-111-111-111-1-1-1-1111-1
χ1722222222-2-2-222-200-22-20022000000200000-2-20000000000
χ1822222222-2-2-222-200-22-200-2-2000000-200000220000000000
χ1922222222-2-2-2-2-2-2002-220022000000-200000-220000000000
χ2022222222-2-2-2-2-2-2002-2200-2-20000002000002-20000000000
χ21222222-2-222-222-222-2-2200000000200000-2-2000000000000
χ22222222-2-222-222-2-2-2-2-2200000000-20000022000000000000
χ23222222-2-222-2-2-2-22222-200000000-200000-22000000000000
χ24222222-2-222-2-2-2-2-2-222-2000000002000002-2000000000000
χ25222222-2-2-2-22222002-2-22200-2-20002000-200000000000000
χ26222222-2-2-2-22222002-2-2-2-20022000-2000200000000000000
χ27222222-2-2-2-22-2-2200-2222200-2-2000-2000200000000000000
χ28222222-2-2-2-22-2-2200-222-2-200220002000-200000000000000
χ292-22-2-222-22-2200-2000002-2002-2000000000000002i−2i002i−2i00
χ302-22-2-222-22-2200-2000002-2002-200000000000000−2i2i00−2i2i00
χ312-22-2-222-22-2200-200000-2200-22000000000000002i−2i00−2i2i00
χ322-22-2-222-22-2200-200000-2200-2200000000000000−2i2i002i−2i00
χ332-22-2-22-22-22200-2000002-200-220000000000002i−2i002i−2i0000
χ342-22-2-22-22-22200-2000002-200-22000000000000−2i2i00−2i2i0000
χ352-22-2-22-22-22200-200000-22002-20000000000002i−2i00−2i2i0000
χ362-22-2-22-22-22200-200000-22002-2000000000000−2i2i002i−2i0000
χ374444-4-4000004-400000000000022000-2-2000000000000000
χ384444-4-4000004-4000000000000-2-200022000000000000000
χ394444-4-400000-440000000000002-2000-22000000000000000
χ404444-4-400000-44000000000000-220002-2000000000000000
χ414-44-4-444-4-44-4004000000000000000000000000000000000
χ424-44-4-44-444-4-4004000000000000000000000000000000000
χ4388-8-800000000004-40000000000000000000000000000000
χ4488-8-80000000000-440000000000000000000000000000000
χ458-88-88-800000000000000000000000000000000000000000
χ468-8-88000000000000000004i−4i000000000000000000000000
χ478-8-8800000000000000000−4i4i000000000000000000000000

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