Finite Group Databasebeta

← Group #486355

Character table — Group #486355

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222244222244444444444422224444444448888888844
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1
χ5111111111111111-1-11-1-1-1-11111-1-11111-111-1-11111-1-1-1-1-1-1
χ6111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ7111111111111111-1-11-1-1-1-111-1-1111111-1-1-111-1-1-1-11111-1-1
χ8111111111111111-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1111111-1-1-1-111
χ9111111-1-11-1-11-1-1-111-1-1-1-1-1111-11-111-1-111-11-111-1-111-1-11-1
χ10111111-1-11-1-11-1-1-111-1-1-1-1-1111-11-1-1-11111-11-1-1-111-1-111-11
χ11111111-1-11-1-11-1-1-111-1-1-1-1-111-11-1111-1-11-11-11-1-111-1-1111-1
χ12111111-1-11-1-11-1-1-111-1-1-1-1-111-11-11-1-1111-11-1111-1-111-1-1-11
χ13111111-1-11-1-11-1-1-1-1-1-11111111-1-1111-1-1-11-1-1111-1-1-1-111-11
χ14111111-1-11-1-11-1-1-1-1-1-11111111-1-11-1-111-11-1-11-1-11111-1-11-1
χ15111111-1-11-1-11-1-1-1-1-1-1111111-111-111-1-1-1-111-1-1-11111-1-1-11
χ16111111-1-11-1-11-1-1-1-1-1-1111111-111-1-1-111-1-111-111-1-1-1-1111-1
χ17222222222-2-22-2-2222222-2-2-2-200000000-200000000000000
χ18222222222-2-22-2-22-2-22-2-222-2-200000000200000000000000
χ1922222222-222-2-2-2200-200002-200220000000-2-20000000000
χ2022222222-222-2-2-2200-200002-200-2-20000000220000000000
χ2122222222-2-2-2-222200-20000-22220000000-2-2000000000000
χ2222222222-2-2-2-222200-20000-22-2-2000000022000000000000
χ23222222-2-2222222-222-2-2-222-2-200000000-200000000000000
χ24222222-2-2222222-2-2-2-222-2-2-2-200000000200000000000000
χ25222222-2-2-222-2-2-2-20020000-222-20000000-22000000000000
χ26222222-2-2-222-2-2-2-20020000-22-2200000002-2000000000000
χ27222222-2-2-2-2-2-222-200200002-2002-20000000-220000000000
χ28222222-2-2-2-2-2-222-200200002-200-2200000002-20000000000
χ2922-2-2-220022-2-22-202-20002-2000000000000000i2−i2i2−i2i2−i2i2−i200
χ3022-2-2-220022-2-22-202-20002-2000000000000000−i2i2−i2i2−i2i2−i2i200
χ3122-2-2-220022-2-22-20-22000-22000000000000000i2−i2i2−i2−i2i2−i2i200
χ3222-2-2-220022-2-22-20-22000-22000000000000000−i2i2−i2i2i2−i2i2−i200
χ3322-2-2-22002-22-2-2202-2000-22000000000000000i2−i2−i2i2i2−i2−i2i200
χ3422-2-2-22002-22-2-2202-2000-22000000000000000−i2i2i2−i2−i2i2i2−i200
χ3522-2-2-22002-22-2-220-220002-2000000000000000i2−i2−i2i2−i2i2i2−i200
χ3622-2-2-22002-22-2-220-220002-2000000000000000−i2i2i2−i2i2−i2−i2i200
χ374444-4-444000000-400000000000002-22-2000000000000000
χ384444-4-444000000-40000000000000-22-22000000000000000
χ394444-4-4-4-4000000400000000000002-2-22000000000000000
χ404444-4-4-4-400000040000000000000-222-2000000000000000
χ4144-4-4-4400-44-44-44000000000000000000000000000000000
χ4244-4-4-4400-4-4444-4000000000000000000000000000000000
χ4388-8-88-800000000000000000000000000000000000000000
χ448-88-8000000000000004-4000000000000000000000000000
χ458-88-800000000000000-44000000000000000000000000000
χ468-8-88008-8000000000000000000000000000000000000000
χ478-8-8800-88000000000000000000000000000000000000000

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