Finite Group Databasebeta

← Group #486147

Character table — Group #486147

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222222222444422222444422444444444448888888844
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-11-111-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-11-11-1-111-1-11-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1
χ51111111111111111-1-1-1-1-1-11111-111-1111-1-11-11111-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111-1-1-11-1-1-11-1-11-1-1-1-1-1111111
χ71111111111111111-1-1-1-1-1-111-1111-1111-11-1-11-1-1-1-11111-1-1
χ81111111111111111-1-1-1-1-1-111-1-11-1-11-1-1-11-1-111111-1-1-1-111
χ91111-1-111-111-1-1-1-1-111-1-1111111-11-11-1-11-1-1-1111-1-111-1-11-1
χ101111-1-111-111-1-1-1-1-111-1-111111-1-1-1-11111-1-1-11-1-111-1-111-11
χ111111-1-111-111-1-1-1-1-111-1-11111-11111-1-1-1-11-11-1-1-111-1-1111-1
χ121111-1-111-111-1-1-1-1-111-1-11111-1-11-11-111-11-11-111-1-111-1-1-11
χ131111-1-111-111-1-1-1-1-1-1-111-1-1111111-1-1-1-1111-1-111-1-1-1-111-11
χ141111-1-111-111-1-1-1-1-1-1-111-1-1111-11-1-1-111111-1-1-1-11111-1-11-1
χ151111-1-111-111-1-1-1-1-1-1-111-1-111-11-1111-1-1-1-1111-1-11111-1-1-11
χ161111-1-111-111-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111-1-1-1-1111-1
χ1722222222222-2-2-2-222222-2-2-2-20000000000-2000000000000
χ1822222222222-2-2-2-22-2-2-2-222-2-200000000002000000000000
χ19222222222-2-222-2-2-20000002-2002002000-200-20000000000
χ20222222222-2-222-2-2-20000002-200-200-200020020000000000
χ21222222222-2-2-2-222-2000000-2220002000-200-200000000000
χ22222222222-2-2-2-222-2000000-22-2000-2000200200000000000
χ232222-2-222-2222222-222-2-2-2-2-2-200000000002000000000000
χ242222-2-222-2222222-2-2-22222-2-20000000000-2000000000000
χ252222-2-222-2-2-222-2-22000000-222000-2000-200200000000000
χ262222-2-222-2-2-222-2-22000000-22-20002000200-200000000000
χ272222-2-222-2-2-2-2-22220000002-200200-2000-20020000000000
χ282222-2-222-2-2-2-2-22220000002-200-2002000200-20000000000
χ2922-2-2002-202-22i−2i2i−2i0002-22i−2i0000000000000002−2i2−i2i2−i22−200
χ3022-2-2002-202-22i−2i2i−2i0002-22i−2i000000000000000−22−i2i2−i2i2−2200
χ3122-2-2002-202-22i−2i2i−2i000-22−2i2i0000000000000002−2i2−i2−i2i2−2200
χ3222-2-2002-202-22i−2i2i−2i000-22−2i2i000000000000000−22−i2i2i2−i22−200
χ3322-2-2002-202-2−2i2i−2i2i0002-2−2i2i0000000000000002−2−i2i2−i2i22−200
χ3422-2-2002-202-2−2i2i−2i2i0002-2−2i2i000000000000000−22i2−i2i2−i2−2200
χ3522-2-2002-202-2−2i2i−2i2i000-222i−2i0000000000000002−2−i2i2i2−i2−2200
χ3622-2-2002-202-2−2i2i−2i2i000-222i−2i000000000000000−22i2−i2−i2i22−200
χ37444444-4-4-4000000000000000020-2002-2000000000000000
χ38444444-4-4-40000000000000000-20200-22000000000000000
χ394444-4-4-4-44000000000000000020-200-22000000000000000
χ404444-4-4-4-440000000000000000-202002-2000000000000000
χ4144-4-4004-40-444i−4i−4i4i00000000000000000000000000000000
χ4244-4-4004-40-44−4i4i4i−4i00000000000000000000000000000000
χ4388-8-800-88000000000000000000000000000000000000000
χ448-88-80000000000004-400000000000000000000000000000
χ458-88-8000000000000-4400000000000000000000000000000
χ468-8-888-800000000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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