Finite Group Databasebeta

← Group #503585

Character table — Group #503585

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222244222244444444444422444444444444444444488
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111-1-11-1-1-1-11111-111-1-111-1-11111-1-1-1-1-1-1
χ611111111111111111-1-11-1-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1
χ711111111111111111-1-11-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111
χ811111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111
χ9111111-1-11111-111-1-111-111-1-11-11-1-11-11-11-11-111-1-111-1-11-1
χ10111111-1-11111-111-1-111-111-1-11-11-1-1-11-11-11-11-1-111-1-1111-1
χ11111111-1-11111-111-1-111-111-1-1-11-11-11-11-11-11-1-1-111-1-111-11
χ12111111-1-11111-111-1-111-111-1-1-11-11-1-11-11-11-1111-1-111-1-1-11
χ13111111-1-11111-111-1-1-1-1-1-1-1111-11-111-1-111-1-1111-1-1-1-111-11
χ14111111-1-11111-111-1-1-1-1-1-1-1111-11-11-111-1-111-1-1-11111-1-1-11
χ15111111-1-11111-111-1-1-1-1-1-1-111-11-1111-1-111-1-11-1-11111-1-11-1
χ16111111-1-11111-111-1-1-1-1-1-1-111-11-111-111-1-111-111-1-1-1-1111-1
χ172222222222-2-22-2-22-200-2000000000002200-2-20000000000
χ182222222222-2-22-2-22-200-200000000000-2-200220000000000
χ1922222222-2-2222-2-2-2200-20000000002200-2-2000000000000
χ2022222222-2-2222-2-2-2200-2000000000-2-20022000000000000
χ2122222222-2-2-2-2222-2-2222-2-2-2-200002000000000000000000
χ2222222222-2-2-2-2222-2-2-2-2222220000-2000000000000000000
χ23222222-2-222-2-2-2-2-2-22002000000000002-200-220000000000
χ24222222-2-222-2-2-2-2-2-2200200000000000-22002-20000000000
χ25222222-2-2-2-222-2-2-22-20020000000002-200-22000000000000
χ26222222-2-2-2-222-2-2-22-2002000000000-22002-2000000000000
χ27222222-2-2-2-2-2-2-2222222-2-2-2220000-2000000000000000000
χ28222222-2-2-2-2-2-2-22222-2-2-222-2-200002000000000000000000
χ292-22-22-2002-22-20-22002-202-2000000000000000002i−2i002i−2i00
χ302-22-22-2002-22-20-22002-202-200000000000000000−2i2i00−2i2i00
χ312-22-22-2002-22-20-2200-220-22000000000000000002i−2i00−2i2i00
χ322-22-22-2002-22-20-2200-220-2200000000000000000−2i2i002i−2i00
χ332-22-22-200-22-220-22002-20-220000000000000002i−2i002i−2i0000
χ342-22-22-200-22-220-22002-20-22000000000000000−2i2i00−2i2i0000
χ352-22-22-200-22-220-2200-2202-20000000000000002i−2i00−2i2i0000
χ362-22-22-200-22-220-2200-2202-2000000000000000−2i2i002i−2i0000
χ374444-4-4440000-40000000000022-2-20000000000000000000
χ384444-4-4440000-400000000000-2-2220000000000000000000
χ394444-4-4-4-400004000000000002-2-220000000000000000000
χ404444-4-4-4-40000400000000000-222-20000000000000000000
χ414-44-44-4004-4-4404-400000000000000000000000000000000
χ424-44-44-400-444-404-400000000000000000000000000000000
χ4388-8-8008-8000000000000000000000000000000000000000
χ4488-8-800-88000000000000000000000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-880000000000000000004-400000000000000000000000
χ478-8-88000000000000000000-4400000000000000000000000

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