Finite Group Databasebeta

← Group #486208

Character table — Group #486208

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222244224444444444444424444444444448888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1
χ5111111111111111-1-11-1-1-1-1111111-111-11-1-11-11111-1-1-1-1-1-1
χ6111111111111111-1-11-1-1-1-111111-111-11-11-1-11-1-1-1-11111-1-1
χ7111111111111111-1-11-1-1-1-111-1-1-11-1-11-11-1-11-1-1-1-1-1111111
χ8111111111111111-1-11-1-1-1-111-1-1-1-11-1-11-11-1-111111-1-1-1-111
χ9111111-1-111-1-1-1-1-111-1-1-111111-1111-1-1-1-1-1-11111-1-111-1-11-1
χ10111111-1-111-1-1-1-1-111-1-1-111111-11-1-1-11111-1-1-1-1-111-1-1111-1
χ11111111-1-111-1-1-1-1-111-1-1-11111-11-1111-1-1-1-1-111-1-111-1-111-11
χ12111111-1-111-1-1-1-1-111-1-1-11111-11-1-1-111111-1-1-111-1-111-1-1-11
χ13111111-1-111-1-1-1-1-1-1-1-111-1-1111-111-1-1-11-1111-111-1-1-1-111-11
χ14111111-1-111-1-1-1-1-1-1-1-111-1-1111-11-11-11-11-11-11-1-11111-1-1-11
χ15111111-1-111-1-1-1-1-1-1-1-111-1-111-11-11-11-11-1111-1-1-11111-1-11-1
χ16111111-1-111-1-1-1-1-1-1-1-111-1-111-11-1-1111-11-11-1111-1-1-1-1111-1
χ172222222222-2-22-2-222222-2-2-2-20000000000-2000000000000
χ182222222222-2-22-2-2-2-22-2-222-2-200000000002000000000000
χ1922222222-2-2222-2-200-20000-22000020020-200-20000000000
χ2022222222-2-2222-2-200-20000-220000-200-2020020000000000
χ2122222222-2-2-2-222200-200002-200020020-200-200000000000
χ2222222222-2-2-2-222200-200002-2000-200-20200200000000000
χ23222222-2-22222-22222-2-2-2-2-2-2-200000000002000000000000
χ24222222-2-22222-222-2-2-22222-2-20000000000-2000000000000
χ25222222-2-2-2-222-2-2-200200002-2000200-20200-200000000000
χ26222222-2-2-2-222-2-2-200200002-2000-20020-200200000000000
χ27222222-2-2-2-2-2-2-2220020000-220000200-20200-20000000000
χ28222222-2-2-2-2-2-2-2220020000-220000-20020-20020000000000
χ292-22-2-22002-22i−2i02i−2i0002i−2i2-20000000000000002−2i2−i22−2i2−i200
χ302-22-2-22002-22i−2i02i−2i0002i−2i2-2000000000000000−22−i2i2−22−i2i200
χ312-22-2-22002-22i−2i02i−2i000−2i2i-220000000000000002−2i2−i2−22−i2i200
χ322-22-2-22002-22i−2i02i−2i000−2i2i-22000000000000000−22−i2i22−2i2−i200
χ332-22-2-22002-2−2i2i0−2i2i0002i−2i-220000000000000002−2−i2i2−22i2−i200
χ342-22-2-22002-2−2i2i0−2i2i0002i−2i-22000000000000000−22i2−i22−2−i2i200
χ352-22-2-22002-2−2i2i0−2i2i000−2i2i2-20000000000000002−2−i2i22−2−i2i200
χ362-22-2-22002-2−2i2i0−2i2i000−2i2i2-2000000000000000−22i2−i2−22i2−i200
χ374444-4-4440000-40000000000022-200-200000000000000000
χ384444-4-4440000-400000000000-2-2200200000000000000000
χ394444-4-4-4-400004000000000002-2-200200000000000000000
χ404444-4-4-4-40000400000000000-22200-200000000000000000
χ414-44-4-4400-444i−4i0−4i4i00000000000000000000000000000000
χ424-44-4-4400-44−4i4i04i−4i00000000000000000000000000000000
χ4388-8-8000000000004-4000000000000000000000000000000
χ4488-8-800000000000-44000000000000000000000000000000
χ458-88-88-800000000000000000000000000000000000000000
χ468-8-88008i−8i000000000000000000000000000000000000000
χ478-8-8800−8i8i000000000000000000000000000000000000000

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