Finite Group Databasebeta

← Group #501140

Character table — Group #501140

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222444444444444444442222444444448888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-111-1-1-1111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11-1-11-1-1111-1-11-1-1-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ511111111111111111-1-1-1-111-1-1-11-111-11111-1-11111-1-1-1-1-1-1
χ611111111111111111-1-1-1-111-1-1-11-1-11-1-1-1-11-1-1-1-1-1-1111111
χ711111111111111111-1-1-1-1-1-111-1-111-11111-11-1-1-1-1-11111-1-1
χ811111111111111111-1-1-1-1-1-111-1-11-1-11-1-1-1-11-11111-1-1-1-111
χ9111111-1-1111111-1-1-111111111-1111-1-1-1-11-1-1-111-1-111-1-11-1
χ10111111-1-1111111-1-1-111111111-111-1-1-111-1-1-1-1-1-111-1-111-11
χ11111111-1-1111111-1-1-11111-1-1-1-1-1-1-1111-1-1111-1-1-111-1-1111-1
χ12111111-1-1111111-1-1-11111-1-1-1-1-1-1-1-11111-111-111-1-111-1-1-11
χ13111111-1-1111111-1-1-1-1-1-1-111-1-111-11-11-1-11-11111-1-1-1-111-11
χ14111111-1-1111111-1-1-1-1-1-1-111-1-111-1-1-1111-1-111-1-11111-1-11-1
χ15111111-1-1111111-1-1-1-1-1-1-1-1-1111-1111-1-1-111-11-1-11111-1-1-11
χ16111111-1-1111111-1-1-1-1-1-1-1-1-1111-11-11-111-11-1111-1-1-1-1111-1
χ17222222222-2-2-22-22-2-20000002200-200-20000200000000000
χ18222222222-2-2-22-22-2-2000000-2-20020020000-200000000000
χ1922222222-22-2-2-22-22-2000022000-200-200002000000000000
χ2022222222-22-2-2-22-22-20000-2-200020020000-2000000000000
χ2122222222-2-222-2-2-2-2222-2-2000020000000000-20000000000
χ2222222222-2-222-2-2-2-22-2-2220000-2000000000020000000000
χ23222222-2-22-2-2-22-2-2220000002200-20020000-200000000000
χ24222222-2-22-2-2-22-2-222000000-2-200200-20000200000000000
χ25222222-2-2-22-2-2-222-22000022000-20020000-2000000000000
χ26222222-2-2-22-2-2-222-220000-2-2000200-200002000000000000
χ27222222-2-2-2-222-2-222-222-2-20000-2000000000020000000000
χ28222222-2-2-2-222-2-222-2-2-222000020000000000-20000000000
χ292-2-22-2200222-2-2-20002-22-20000000000000000002i−2i002i−2i00
χ302-2-22-2200222-2-2-20002-22-2000000000000000000−2i2i00−2i2i00
χ312-2-22-2200222-2-2-2000-22-220000000000000000002i−2i00−2i2i00
χ322-2-22-2200222-2-2-2000-22-22000000000000000000−2i2i002i−2i00
χ332-2-22-2200-2-22-2220002-2-2200000000000000002-2002-20000
χ342-2-22-2200-2-22-2220002-2-220000000000000000-2200-220000
χ352-2-22-2200-2-22-222000-222-200000000000000002-200-220000
χ362-2-22-2200-2-22-222000-222-20000000000000000-22002-20000
χ374444-4-44-4000000000000000000002002-2-20000000000000
χ384444-4-44-400000000000000000000-200-2220000000000000
χ394444-4-4-4400000000000000000000200-22-20000000000000
χ404444-4-4-4400000000000000000000-2002-220000000000000
χ414-4-44-44004-4-44-44000000000000000000000000000000000
χ424-4-44-4400-44-444-4000000000000000000000000000000000
χ4388-8-800000000000000000004i−4i0000000000000000000000
χ4488-8-80000000000000000000−4i4i0000000000000000000000
χ458-88-8000000000000000004i−4i000000000000000000000000
χ468-88-800000000000000000−4i4i000000000000000000000000
χ478-8-888-800000000000000000000000000000000000000000

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