Finite Group Databasebeta

← Group #486155

Character table — Group #486155

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222444444222244444442244444444448888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-11-11-11-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1111-1-111-11-1111-11-1-11-1-1-1-1-1-1-1-1-111
χ41111111111111111-1-1111-1-111-1-1-1-11-1-1-1-1-11-111111111-1-1
χ511111111111111-1-1111-1-1-1-111-11-11-11111-1-111111-1-1-1-1-1-1
χ611111111111111-1-1111-1-1-1-111-1-1-1-1-1-11-11-1-11-1-1-1-1111111
χ711111111111111-1-1-1-11-1-111111111-11-11-11-1-1-1-1-1-11111-1-1
χ811111111111111-1-1-1-11-1-111111-11-1-1-1-1-1-11-1-11111-1-1-1-111
χ9111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-11-1-1111-111-1-111-1-11-1
χ10111111-1-1-1-1-1-1111111-1-1-1-1-1111-1-11-1-1-11111-1-1-111-1-111-11
χ11111111-1-1-1-1-1-11111-1-1-1-1-11111-111-1-111-1-1-111-1-111-1-1111-1
χ12111111-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-11
χ13111111-1-1-1-1-1-111-1-111-1111111-111-111-1-11-1-1-111-1-1-1-111-11
χ14111111-1-1-1-1-1-111-1-111-1111111-1-1111-1-111-1-1-1-1-11111-1-11-1
χ15111111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1111-1-11-11-1-11111-1-1-11
χ16111111-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-111-111-11-1111-1-1-1-1111-1
χ172222222222-2-2-2-20000-200222-2-20-20000002000000000000
χ182222222222-2-2-2-20000-200-2-22-2202000000-2000000000000
χ1922222222-2-222-2-20022-20000-2200000020-200-20000000000
χ2022222222-2-222-2-200-2-2-20000-22000000-2020020000000000
χ2122222222-2-2-2-22222002-2-200-2-20000200000-200000000000
χ2222222222-2-2-2-222-2-20022200-2-20000-200000200000000000
χ23222222-2-22222222200-22200-2-20000-200000-200000000000
χ24222222-2-2222222-2-200-2-2-200-2-20000200000200000000000
χ25222222-2-222-2-2-2-2002220000-22000000-20-20020000000000
χ26222222-2-222-2-2-2-200-2-220000-2200000020200-20000000000
χ27222222-2-2-2-222-2-20000200222-220-2000000-2000000000000
χ28222222-2-2-2-222-2-20000200-2-22-2-2020000002000000000000
χ292-22-22-2002i−2i2i−2i2-22-20002i−2i00000000000000002−2i2−i22−2i2−i200
χ302-22-22-2002i−2i2i−2i2-22-20002i−2i0000000000000000−22−i2i2−22−i2i200
χ312-22-22-2002i−2i2i−2i2-2-22000−2i2i00000000000000002−2i2−i2−22−i2i200
χ322-22-22-2002i−2i2i−2i2-2-22000−2i2i0000000000000000−22−i2i22−2i2−i200
χ332-22-22-200−2i2i−2i2i2-22-2000−2i2i00000000000000002−2−i2i22−2−i2i200
χ342-22-22-200−2i2i−2i2i2-22-2000−2i2i0000000000000000−22i2−i2−22i2−i200
χ352-22-22-200−2i2i−2i2i2-2-220002i−2i00000000000000002−2−i2i2−22i2−i200
χ362-22-22-200−2i2i−2i2i2-2-220002i−2i0000000000000000−22i2−i22−2−i2i200
χ374444-4-44-40000000000000000002020-20-200000000000000
χ384444-4-44-4000000000000000000-20-2020200000000000000
χ394444-4-4-4400000000000000000020-20-20200000000000000
χ404444-4-4-44000000000000000000-202020-200000000000000
χ414-44-44-4004i−4i−4i4i-44000000000000000000000000000000000
χ424-44-44-400−4i4i4i−4i-44000000000000000000000000000000000
χ4388-8-8000000000000000004i−4i000000000000000000000000
χ4488-8-800000000000000000−4i4i000000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-880000000000004-400000000000000000000000000000
χ478-8-88000000000000-4400000000000000000000000000000

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