Finite Group Databasebeta

← Group #486231

Character table — Group #486231

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222444444444444444442244444444448888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-111-1111-1-1111-11-11111-1-1-1-1-1-1
χ411111111111111111-1-1-1-1-1-111-1-1-11-1-1-1-11-11-1-1-1-1-1111111
χ5111111111111111-1-11111-1-111-111-11-111-1-1-11-1-1-1-1-1-1-1-111
χ6111111111111111-1-11111-1-111-1-1-1-11-1-1-1-1-1-1111111111-1-1
χ7111111111111111-1-1-1-1-1-11111111-1-1111-11-1-1-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-111111-1-1-1-11-1-1-11-1-11111-1-1-1-111
χ9111111-1-1-1-1-1-111-11111-1-1-1-111-111-1-11-1-1-111111-1-111-1-11-1
χ10111111-1-1-1-1-1-111-11111-1-1-1-111-1-1-1-1-1111-1111-1-111-1-111-11
χ11111111-1-1-1-1-1-111-111-1-1111111111-11-1-1-1-1-11-111-1-1-1-111-11
χ12111111-1-1-1-1-1-111-111-1-11111111-1-1-11-111-1-11-1-1-11111-1-11-1
χ13111111-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-11-1-11-1-111-1-1111-1
χ14111111-1-1-1-1-1-111-1-1-111-1-111111-1-11-1-1111-1-1111-1-111-1-1-11
χ15111111-1-1-1-1-1-111-1-1-1-1-111-1-111-111111-1-111-1-1-1-11111-1-1-11
χ16111111-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1-11111111-1-111-1-1-1-1111-1
χ172222222222-2-2-2-2-2000000222-2-20000-20002000000000000
χ182222222222-2-2-2-2-2000000-2-22-2200002000-2000000000000
χ1922222222-2-222-2-2-222000000-2200020000-20-200000000000
χ2022222222-2-222-2-2-2-2-2000000-22000-2000020200000000000
χ2122222222-2-2-2-22220022-2-200-2-200002000000-20000000000
χ2222222222-2-2-2-222200-2-22200-2-20000-200000020000000000
χ23222222-2-2222222-200222200-2-20000-2000000-20000000000
χ24222222-2-2222222-200-2-2-2-200-2-20000200000020000000000
χ25222222-2-222-2-2-2-2222000000-22000-2000020-200000000000
χ26222222-2-222-2-2-2-22-2-2000000-2200020000-20200000000000
χ27222222-2-2-2-222-2-22000000222-2-200002000-2000000000000
χ28222222-2-2-2-222-2-22000000-2-22-220000-20002000000000000
χ2922-2-2-22002i−2i2i−2i2-20002i−2i2-200000000000000002−2i2−i2i2−i22−200
χ3022-2-2-22002i−2i2i−2i2-20002i−2i2-20000000000000000−22−i2i2−i2i2−2200
χ3122-2-2-22002i−2i2i−2i2-2000−2i2i-2200000000000000002−2i2−i2−i2i2−2200
χ3222-2-2-22002i−2i2i−2i2-2000−2i2i-220000000000000000−22−i2i2i2−i22−200
χ3322-2-2-2200−2i2i−2i2i2-20002i−2i-2200000000000000002−2−i2i2i2−i2−2200
χ3422-2-2-2200−2i2i−2i2i2-20002i−2i-220000000000000000−22i2−i2−i2i22−200
χ3522-2-2-2200−2i2i−2i2i2-2000−2i2i2-200000000000000002−2−i2i2−i2i22−200
χ3622-2-2-2200−2i2i−2i2i2-2000−2i2i2-20000000000000000−22i2−i2i2−i2−2200
χ374444-4-44-40000000000000000002-20002-200000000000000
χ384444-4-44-4000000000000000000-22000-2200000000000000
χ394444-4-4-440000000000000000002-2000-2200000000000000
χ404444-4-4-44000000000000000000-220002-200000000000000
χ4144-4-4-44004i−4i−4i4i-44000000000000000000000000000000000
χ4244-4-4-4400−4i4i4i−4i-44000000000000000000000000000000000
χ4388-8-88-800000000000000000000000000000000000000000
χ448-88-8000000000004i−4i000000000000000000000000000000
χ458-88-800000000000−4i4i000000000000000000000000000000
χ468-8-88000000000000000004i−4i000000000000000000000000
χ478-8-8800000000000000000−4i4i000000000000000000000000

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