Finite Group Databasebeta

← Group #503595

Character table — Group #503595

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222244444444444444444422444444444448888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-1-1-1-1-1111-1-1111-111-1-11111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-111-11-111-11-1-111-1-1-1-11111-1-1
χ7111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-111-1-1-1-1-1-1111111
χ8111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111-1-1-1-111
χ9111111-1-1-1111111-1-1-11111-1-11-11-1-11-1-111-11-111-1-111-1-11-1
χ10111111-1-1-1111111-1-1-11111-1-11-1-11-11-11-1-11-11-1-111-1-1111-1
χ11111111-1-1-1111111-1-1-11111-1-1-111-1-1-11-111-11-1-1-111-1-111-11
χ12111111-1-1-1111111-1-1-11111-1-1-11-11-1-111-1-11-1111-1-111-1-1-11
χ13111111-1-1-1111111-1-1-1-1-1-1-1111-11111-1-1-11-1-1111-1-1-1-111-11
χ14111111-1-1-1111111-1-1-1-1-1-1-1111-1-1-111-111-111-1-1-11111-1-1-11
χ15111111-1-1-1111111-1-1-1-1-1-1-111-11111-11-1-11-1-11-1-11111-1-11-1
χ16111111-1-1-1111111-1-1-1-1-1-1-111-11-1-11-1111-111-111-1-1-1-1111-1
χ172222222222-2-2-2-222-2-222-2-2-2-200002000000000000000000
χ182222222222-2-2-2-222-2-2-2-222220000-2000000000000000000
χ19222222222-222-2-2-2-22-200000000020000200-2-20000000000
χ20222222222-222-2-2-2-22-2000000000-20000-200220000000000
χ21222222222-2-2-222-2-2-22000000002000020-2-2000000000000
χ22222222222-2-2-222-2-2-2200000000-20000-2022000000000000
χ23222222-2-2-22-2-2-2-22-22222-2-2220000-2000000000000000000
χ24222222-2-2-22-2-2-2-22-222-2-222-2-200002000000000000000000
χ25222222-2-2-2-222-2-2-22-2200000000020000-2002-20000000000
χ26222222-2-2-2-222-2-2-22-22000000000-20000200-220000000000
χ27222222-2-2-2-2-2-222-222-20000000020000-20-22000000000000
χ28222222-2-2-2-2-2-222-222-200000000-20000202-2000000000000
χ292-22-22-2000-22-22-220002-22-2000000000000000002i−2i002i−2i00
χ302-22-22-2000-22-22-220002-22-200000000000000000−2i2i00−2i2i00
χ312-22-22-2000-22-22-22000-22-22000000000000000002i−2i00−2i2i00
χ322-22-22-2000-22-22-22000-22-2200000000000000000−2i2i002i−2i00
χ332-22-22-2000-2-22-2220002-2-220000000000000002i−2i002i−2i0000
χ342-22-22-2000-2-22-2220002-2-22000000000000000−2i2i00−2i2i0000
χ352-22-22-2000-2-22-222000-222-20000000000000002i−2i00−2i2i0000
χ362-22-22-2000-2-22-222000-222-2000000000000000−2i2i002i−2i0000
χ374444-4-444-40000000000000002-2000-220000000000000000
χ384444-4-444-4000000000000000-220002-20000000000000000
χ394444-4-4-4-4400000000000000022000-2-20000000000000000
χ404444-4-4-4-44000000000000000-2-2000220000000000000000
χ414-44-44-400044-4-44-400000000000000000000000000000000
χ424-44-44-40004-444-4-400000000000000000000000000000000
χ4388-8-80000000000000000004-400000000000000000000000
χ4488-8-8000000000000000000-4400000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-88008i−8i000000000000000000000000000000000000000
χ478-8-8800−8i8i000000000000000000000000000000000000000

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