Finite Group Databasebeta

← Group #486166

Character table — Group #486166

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222244444444244444444442224444444448888888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-11-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-1111-11-111-1111-1-11111-1-1-1-1-1-1
χ411111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ5111111111111111-1-111-1-11111-1-11-11111-1-11-1-1-1-1-1-1-1-1-111
χ6111111111111111-1-111-1-11111-1-1-1-1-1-11-1-1-11-111111111-1-1
χ7111111111111111-1-1-1-111-1-111-111111-11-1-1-11-1-1-1-11111-1-1
χ8111111111111111-1-1-1-111-1-111-11-11-1-1-1-1-1-1-111111-1-1-1-111
χ9111111-1-1-1-1-1-111-11111-1-1-1-111-1-111-1-1-11-111111-1-111-1-11-1
χ10111111-1-1-1-1-1-111-11111-1-1-1-111-1-1-1111-1-1-1111-1-111-1-111-11
χ11111111-1-1-1-1-1-111-111-1-1111111-111-1-1-111-11-1-111-1-1-1-111-11
χ12111111-1-1-1-1-1-111-111-1-1111111-11-1-1111-1-11-1-1-1-11111-1-11-1
χ13111111-1-1-1-1-1-111-1-1-11111-1-111111-1-1-1-111-11-1-1-111-1-1111-1
χ14111111-1-1-1-1-1-111-1-1-11111-1-11111-1-111-1-11-11-111-1-111-1-1-11
χ15111111-1-1-1-1-1-111-1-1-1-1-1-1-111111-111-1-1111-1-11-1-11111-1-1-11
χ16111111-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-11111-11-1-1111-1-1-1-1111-1
χ172222222222-2-222-200220022-2-2000000-2000-200000000000
χ182222222222-2-222-200-2-200-2-2-2-20000002000200000000000
χ1922222222-2-222-2-2-2000022002-20-20-2000000020000000000
χ2022222222-2-222-2-2-20000-2-2002-202020000000-20000000000
χ2122222222-2-2-2-2-2-2222000000-22-200000002-2000000000000
χ2222222222-2-2-2-2-2-22-2-2000000-2220000000-22000000000000
χ23222222-2-22222-2-2-222000000-2220000000-2-2000000000000
χ24222222-2-22222-2-2-2-2-2000000-22-2000000022000000000000
χ25222222-2-222-2-2-2-22000022002-20-2020000000-20000000000
χ26222222-2-222-2-2-2-220000-2-2002-2020-2000000020000000000
χ27222222-2-2-2-222222002200-2-2-2-20000002000-200000000000
χ28222222-2-2-2-22222200-2-20022-2-2000000-2000200000000000
χ292-2-222-22i−2i2i−2i002-20002-2002i−2i00000000000000i2−i22−2i2−i22−200
χ302-2-222-22i−2i2i−2i002-20002-2002i−2i00000000000000−i2i2−22−i2i2−2200
χ312-2-222-22i−2i2i−2i002-2000-2200−2i2i00000000000000i2−i22−2−i2i2−2200
χ322-2-222-22i−2i2i−2i002-2000-2200−2i2i00000000000000−i2i2−22i2−i22−200
χ332-2-222-2−2i2i−2i2i002-20002-200−2i2i00000000000000i2−i2−22i2−i2−2200
χ342-2-222-2−2i2i−2i2i002-20002-200−2i2i00000000000000−i2i22−2−i2i22−200
χ352-2-222-2−2i2i−2i2i002-2000-22002i−2i00000000000000i2−i2−22−i2i22−200
χ362-2-222-2−2i2i−2i2i002-2000-22002i−2i00000000000000−i2i22−2i2−i2−2200
χ374444-4-400004-4000000000000000202-20-200000000000000
χ384444-4-400004-4000000000000000-20-220200000000000000
χ394444-4-40000-4400000000000000020-220-200000000000000
χ404444-4-40000-44000000000000000-202-20200000000000000
χ414-4-444-44i−4i−4i4i00-44000000000000000000000000000000000
χ424-4-444-4−4i4i4i−4i00-44000000000000000000000000000000000
χ4388-8-80000000000000004i−4i00000000000000000000000000
χ4488-8-8000000000000000−4i4i00000000000000000000000000
χ458-88-8000000000004i−4i000000000000000000000000000000
χ468-88-800000000000−4i4i000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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