Finite Group Databasebeta

← Group #332649

Character table — Group #332649

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444488888888888888881616161616161616161616161616161616163232
order12222244444444224444448888888822444444448888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1
χ5111111111111111111-1-1-1-111111111-111-1-1-1-1-11111-1-1-1-1-1-11-1
χ6111111111111111111-1-1-1-111111111-1-1-11111-1-1-1-1-111-1-1-1-1-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11111111-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11111-11
χ911111111111111-1-1-1-111-1-11111-1-1-1-11111111-1-1-111-1-111-1-1-1-1
χ1011111111111111-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-111-1-11111-1-111
χ1111111111111111-1-1-1-111-1-1-1-1-1-1111111111-1-1-111-1-111-1-111-1-1
χ1211111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-111-1-1-111-1-1-1-11111
χ1311111111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11-1-11111-1-111-11
χ1411111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1111-1
χ1511111111111111-1-1-1-1-1-111-1-1-1-11111-111-1-111111-1-1-1-111-1-1-11
χ1611111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-11-1-1111111-1-11-1
χ172222222222-2-2-2-222-2-2222200000000-2000000-2000000000000
χ182222222222-2-2-2-222-2-2-2-2-2-20000000020000002000000000000
χ192222222222-2-2-2-2-2-22222-2-200000000-20000002000000000000
χ202222222222-2-2-2-2-2-222-2-222000000002000000-2000000000000
χ212222-2-222-2-222-2-20000000000002i2i−2i−2i02-2000002i−2i0000000000
χ222222-2-222-2-222-2-20000000000002i2i−2i−2i0-2200000−2i2i0000000000
χ232222-2-222-2-222-2-2000000000000−2i−2i2i2i02-200000−2i2i0000000000
χ242222-2-222-2-222-2-2000000000000−2i−2i2i2i0-22000002i−2i0000000000
χ252222-2-2-2-222-22-220000000022-2-200000002-22-20000000000000
χ262222-2-2-2-222-22-220000000022-2-20000000-22-220000000000000
χ272222-2-2-2-222-22-2200000000-2-22200000002-2-220000000000000
χ282222-2-2-2-222-22-2200000000-2-2220000000-222-20000000000000
χ2922-2-2-22-222-200002-2002i−2i2i−2i2−22−22−22−200000000000000i2−i2i2−i200
χ3022-2-2-22-222-200002-2002i−2i2i−2i−22−22−22−2200000000000000−i2i2−i2i200
χ3122-2-2-22-222-200002-200−2i2i−2i2i2−22−22−22−200000000000000−i2i2−i2i200
χ3222-2-2-22-222-200002-200−2i2i−2i2i−22−22−22−2200000000000000i2−i2i2−i200
χ3322-2-2-22-222-20000-22002i−2i−2i2i2−22−2−22−2200000000000000i2−i2−i2i200
χ3422-2-2-22-222-20000-22002i−2i−2i2i−22−222−22−200000000000000−i2i2i2−i200
χ3522-2-2-22-222-20000-2200−2i2i2i−2i2−22−2−22−2200000000000000−i2i2i2−i200
χ3622-2-2-22-222-20000-2200−2i2i2i−2i−22−222−22−200000000000000i2−i2−i2i200
χ37444444-4-4-4-44-4-44000000000000000000000000000000000000
χ38444444-4-4-4-4-444-4000000000000000000000000000000000000
χ394444-4-444-4-4-4-444000000000000000000000000000000000000
χ404444-4-4-4-4444-44-4000000000000000000000000000000000000
χ4144-4-44-44-44-400000000000022−22−2222000000000000000000000000
χ4244-4-44-44-44-4000000000000−222222−22000000000000000000000000
χ4344-4-44-4-44-4400000000000000002i2−2i2−2i22i200000000000000000000
χ4444-4-44-4-44-440000000000000000−2i22i22i2−2i200000000000000000000
χ4544-4-4-444-4-440000004i−4i00000000000000000000000000000000
χ4644-4-4-444-4-44000000−4i4i00000000000000000000000000000000
χ478-88-8000000000000000000000000000000000000002i2−2i2000000
χ488-88-800000000000000000000000000000000000000−2i22i2000000
χ498-8-8800000000000000000000000000000000000022−2200000000
χ508-8-88000000000000000000000000000000000000−222200000000

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