Finite Group Databasebeta

← Group #486160

Character table — Group #486160

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222244444444222444444442244444444448888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-111-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-111-1-11111-1-111-11-1-11-1-1-1-1-1-1-1-1-111
χ411111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-11-111111111-1-1
χ5111111111111111-1-111-1-1-1-111-111-111-111-1-111111-1-1-1-1-1-1
χ6111111111111111-1-111-1-1-1-111-1-11-1-1-1-1-11-1-11-1-1-1-1111111
χ7111111111111111-1-1-1-1-1-11111-11-111111-11-1-1-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-11111-1-1-11-1-11-1-11-1-11111-1-1-1-111
χ9111111-1-1-1-1-1-111-11111-1-1-1-111-11-1-1-1-111111-111-1-111-1-11-1
χ10111111-1-1-1-1-1-111-11111-1-1-1-111-1-1-1-1111-1111-1-1-111-1-111-11
χ11111111-1-1-1-1-1-111-111-1-1-1-11111-1111-1-1-11-1-111-1-111-1-1111-1
χ12111111-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-11
χ13111111-1-1-1-1-1-111-1-1-11111111111-11-1-1-111-1-1-111-1-1-1-111-11
χ14111111-1-1-1-1-1-111-1-1-1111111111-1-1111-1-11-1-1-1-1-11111-1-11-1
χ15111111-1-1-1-1-1-111-1-1-1-1-111-1-111111-1-1-111-11-11-1-11111-1-1-11
χ16111111-1-1-1-1-1-111-1-1-1-1-111-1-1111-11-1111-1-11-1111-1-1-1-1111-1
χ172222222222-2-222-222002200-2-2-2000000000-200000000000
χ182222222222-2-222-2-2-200-2-200-2-22000000000200000000000
χ1922222222-2-222-2-2-2000000222-2000-200-2002000000000000
χ2022222222-2-222-2-2-2000000-2-22-2000200200-2000000000000
χ2122222222-2-2-2-2-2-2200220000-2200-200000-20020000000000
χ2222222222-2-2-2-2-2-2200-2-20000-2200200000200-20000000000
χ23222222-2-22222-2-2-200220000-2200200000-200-20000000000
χ24222222-2-22222-2-2-200-2-20000-2200-20000020020000000000
χ25222222-2-222-2-2-2-22000000222-2000-200200-2000000000000
χ26222222-2-222-2-2-2-22000000-2-22-2000200-2002000000000000
χ27222222-2-2-2-2222222200-2-200-2-22000000000-200000000000
χ28222222-2-2-2-222222-2-2002200-2-2-2000000000200000000000
χ292-2-222-22i−2i2i−2i002-202-2002i−2i00000000000000002−2i2−i22−2i2−i200
χ302-2-222-22i−2i2i−2i002-202-2002i−2i0000000000000000−22−i2i2−22−i2i200
χ312-2-222-22i−2i2i−2i002-20-2200−2i2i00000000000000002−2i2−i2−22−i2i200
χ322-2-222-22i−2i2i−2i002-20-2200−2i2i0000000000000000−22−i2i22−2i2−i200
χ332-2-222-2−2i2i−2i2i002-202-200−2i2i00000000000000002−2−i2i22−2−i2i200
χ342-2-222-2−2i2i−2i2i002-202-200−2i2i0000000000000000−22i2−i2−22i2−i200
χ352-2-222-2−2i2i−2i2i002-20-22002i−2i00000000000000002−2−i2i2−22i2−i200
χ362-2-222-2−2i2i−2i2i002-20-22002i−2i0000000000000000−22i2−i22−2−i2i200
χ374444-4-400004-4000000000000002002-20-200000000000000
χ384444-4-400004-400000000000000-200-220200000000000000
χ394444-4-40000-4400000000000000200-220-200000000000000
χ404444-4-40000-4400000000000000-2002-20200000000000000
χ414-4-444-44i−4i−4i4i00-44000000000000000000000000000000000
χ424-4-444-4−4i4i4i−4i00-44000000000000000000000000000000000
χ4388-8-8000000000000000004i−4i000000000000000000000000
χ4488-8-800000000000000000−4i4i000000000000000000000000
χ458-88-800000000000004i−4i0000000000000000000000000000
χ468-88-80000000000000−4i4i0000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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