Finite Group Databasebeta

← Group #503605

Character table — Group #503605

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222244444444224444444442244444444448888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111-1111-1-1-11-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-11-1-111111111-1-1
χ511111111111111-1-1111-1-111-1-111111-11-1-1-11-11111-1-1-1-1-1-1
χ611111111111111-1-1111-1-111-1-1-1-11-1-1-11-1-1-11-1-1-1-1-1111111
χ711111111111111-1-1111-1-1-1-11111-111-1-111-1-11-1-1-1-11111-1-1
χ811111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-111111-1-1-1-111
χ9111111-1-111111111-1-1-11111111-111-1-1-11-1-1-1-111-1-111-1-11-1
χ10111111-1-111111111-1-1-1111111-111-11-1-11-1-1-1-1-1-111-1-111-11
χ11111111-1-111111111-1-1-111-1-1-1-11-1-11-1-11-11-111-1-111-1-1111-1
χ12111111-1-111111111-1-1-111-1-1-1-1-11-1-11-11-11-11111-1-111-1-1-11
χ13111111-1-1111111-1-1-1-1-1-1-111-1-11-111-11-1-111-1111-1-1-1-111-11
χ14111111-1-1111111-1-1-1-1-1-1-111-1-1-111-111-1-111-11-1-11111-1-11-1
χ15111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-11-1111-111-1-1-11111-1-1-11
χ16111111-1-1111111-1-1-1-1-1-1-1-1-111-11-1-11111-111-111-1-1-1-1111-1
χ17222222222-2-2-2-22222-2-2-2-20000000002000-2000000000000
χ18222222222-2-2-2-22-2-22-2-222000000000-20002000000000000
χ1922222222-222-2-2-200-22-20000220000000-2-20020000000000
χ2022222222-222-2-2-200-22-20000-2-200000002200-20000000000
χ2122222222-2-2-222-200-2-2200220000-2000-2000200000000000
χ2222222222-2-2-222-200-2-2200-2-2000020002000-200000000000
χ23222222-2-22-2-2-2-2222-222-2-2000000000-20002000000000000
χ24222222-2-22-2-2-2-22-2-2-222220000000002000-2000000000000
χ25222222-2-2-222-2-2-2002-220000220000000-2200-20000000000
χ26222222-2-2-222-2-2-2002-220000-2-200000002-20020000000000
χ27222222-2-2-2-2-222-20022-200220000-20002000-200000000000
χ28222222-2-2-2-2-222-20022-200-2-200002000-2000200000000000
χ292-22-22-200-22-22-222-20002-20000000000000000002i−2i002i−2i00
χ302-22-22-200-22-22-222-20002-2000000000000000000−2i2i00−2i2i00
χ312-22-22-200-22-22-22-22000-220000000000000000002i−2i00−2i2i00
χ322-22-22-200-22-22-22-22000-22000000000000000000−2i2i002i−2i00
χ332-22-22-200-2-22-2222-2000-2200000000000000002i−2i002i−2i0000
χ342-22-22-200-2-22-2222-2000-220000000000000000−2i2i00−2i2i0000
χ352-22-22-200-2-22-222-220002-200000000000000002i−2i00−2i2i0000
χ362-22-22-200-2-22-222-220002-20000000000000000−2i2i002i−2i0000
χ374444-4-44-400000000000000000220-2-200000000000000000
χ384444-4-44-400000000000000000-2-202200000000000000000
χ394444-4-4-44000000000000000002-20-2200000000000000000
χ404444-4-4-4400000000000000000-2202-200000000000000000
χ414-44-44-40044-4-44-4000000000000000000000000000000000
χ424-44-44-4004-444-4-4000000000000000000000000000000000
χ4388-8-800000000000000000004-40000000000000000000000
χ4488-8-80000000000000000000-440000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-88000000000000000004-4000000000000000000000000
χ478-8-8800000000000000000-44000000000000000000000000

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