Finite Group Databasebeta

← Group #486217

Character table — Group #486217

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444244444444442444444444448888888844
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-11-111-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-1111-111-1111-11-1-11111-1-1-1-1-1-1
χ411111111111111111-1-1-1-1-1-111-1-1-11-1-1-11-11-1-1-1-1-1-1111111
χ5111111111111111-1-111-1-111111-11-1111-1-1-11-1-1-1-1-1-1-1-1-111
χ6111111111111111-1-111-1-11111-1-1-1-11-1-1-1-1-11-111111111-1-1
χ7111111111111111-1-1-1-111-1-111111-1-111-11-1-11-1-1-1-11111-1-1
χ8111111111111111-1-1-1-111-1-111-11-1-1-1-1-1-11-1-111111-1-1-1-111
χ9111111-1-111-1-1-1-1-1111111-1-1111-11-1-1-1-1-1111-111-1-111-1-11-1
χ10111111-1-111-1-1-1-1-1111111-1-111-1-1-1-1-111-1111-1-1-111-1-111-11
χ11111111-1-111-1-1-1-1-111-1-1-1-11111111-11-1-1-1-11-1111-1-1-1-111-11
χ12111111-1-111-1-1-1-1-111-1-1-1-11111-11-1-1111-1-11-11-1-11111-1-11-1
χ13111111-1-111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-11-1-111-1-111-1-1111-1
χ14111111-1-111-1-1-1-1-1-1-111-1-1-1-111-11-11-1111-1-11111-1-111-1-1-11
χ15111111-1-111-1-1-1-1-1-1-1-1-11111111-1111-1-111-1-1-1-1-11111-1-1-11
χ16111111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-111-1-1-1-1111-1
χ172222222222-2-2-2-22002200-2-2-2-20000200000-200000000000
χ182222222222-2-2-2-2200-2-20022-2-20000-200000200000000000
χ1922222222-2-222-2-2-2000022002-202000000-200-20000000000
χ2022222222-2-222-2-2-20000-2-2002-20-200000020020000000000
χ2122222222-2-2-2-222-222000000-220002000-20-2000000000000
χ2222222222-2-2-2-222-2-2-2000000-22000-2000202000000000000
χ23222222-2-2222222-200220022-2-20000-200000-200000000000
χ24222222-2-2222222-200-2-200-2-2-2-20000200000200000000000
χ25222222-2-2-2-222-2-2222000000-22000-200020-2000000000000
χ26222222-2-2-2-222-2-22-2-2000000-220002000-202000000000000
χ27222222-2-2-2-2-2-2222000022002-20-2000000-20020000000000
χ28222222-2-2-2-2-2-22220000-2-2002-202000000200-20000000000
χ2922-2-2-22002-22i−2i2i−2i0002i−2i002-2000000000000002−2i2−i2i2−i22−200
χ3022-2-2-22002-22i−2i2i−2i0002i−2i002-200000000000000−22−i2i2−i2i2−2200
χ3122-2-2-22002-22i−2i2i−2i000−2i2i00-22000000000000002−2i2−i2−i2i2−2200
χ3222-2-2-22002-22i−2i2i−2i000−2i2i00-2200000000000000−22−i2i2i2−i22−200
χ3322-2-2-22002-2−2i2i−2i2i0002i−2i00-22000000000000002−2−i2i2i2−i2−2200
χ3422-2-2-22002-2−2i2i−2i2i0002i−2i00-2200000000000000−22i2−i2−i2i22−200
χ3522-2-2-22002-2−2i2i−2i2i000−2i2i002-2000000000000002−2−i2i2−i2i22−200
χ3622-2-2-22002-2−2i2i−2i2i000−2i2i002-200000000000000−22i2−i2i2−i2−2200
χ374444-4-44-40000000000000000020-2002-2000000000000000
χ384444-4-44-400000000000000000-20200-22000000000000000
χ394444-4-4-440000000000000000020-200-22000000000000000
χ404444-4-4-4400000000000000000-202002-2000000000000000
χ4144-4-4-4400-444i−4i−4i4i000000000000000000000000000000000
χ4244-4-4-4400-44−4i4i4i−4i000000000000000000000000000000000
χ4388-8-88-800000000000000000000000000000000000000000
χ448-88-80000000000000004i−4i00000000000000000000000000
χ458-88-8000000000000000−4i4i00000000000000000000000000
χ468-8-88000000000004i−4i000000000000000000000000000000
χ478-8-8800000000000−4i4i000000000000000000000000000000

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