Finite Group Databasebeta

← Group #345813

Character table — Group #345813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222224448888888888888888881616161616161616161616161632323232
order12222244444444422444444448888888844444888888884488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1
χ511111111111111111-1-111-1-1-1-111111111-111-1-111-1-1-1-1-1-11-11-1
χ611111111111111111-1-111-1-1-1-111111111-1-1-111-1-111-1-1-1-1-11-11
χ711111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111-1
χ811111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-11
χ9111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-111-1-1-11-1-1
χ10111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-11111-1-11-111
χ11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111-1111
χ13111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-11111-1-111-1-1-11
χ14111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-111111-1
χ15111111111111111-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-111-1-111-11
χ16111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-111111111-1-1-1-11-1
χ172222222222-2-2-2-2-22222-2-2-2-22200000000-20000000000000000
χ182222222222-2-2-2-2-222-2-2-2-222-2-20000000020000000000000000
χ192222222222-2-2-2-2-2-2-2222222-2-200000000-20000000000000000
χ202222222222-2-2-2-2-2-2-2-2-222-2-2220000000020000000000000000
χ212222-2-222-2-2-2-222-2000000000000002i2i−2i−2i0002-2002i−2i00000000
χ222222-2-222-2-2-2-222-2000000000000002i2i−2i−2i000-2200−2i2i00000000
χ232222-2-222-2-2-2-222-200000000000000−2i−2i2i2i0002-200−2i2i00000000
χ242222-2-222-2-2-2-222-200000000000000−2i−2i2i2i000-22002i−2i00000000
χ252222-2-2-2-222-2-22-2200000000002i2i−2i−2i000002-2002i−2i0000000000
χ262222-2-2-2-222-2-22-2200000000002i2i−2i−2i00000-2200−2i2i0000000000
χ272222-2-2-2-222-2-22-220000000000−2i−2i2i2i000002-200−2i2i0000000000
χ282222-2-2-2-222-2-22-220000000000−2i−2i2i2i00000-22002i−2i0000000000
χ2922-2-2-222-22-2000002-22-200002-2i2−i2i2−i2i2−i2i2−i2000000000i2−i2i2−i20000
χ3022-2-2-222-22-2000002-22-200002-2−i2i2−i2i2−i2i2−i2i2000000000−i2i2−i2i20000
χ3122-2-2-222-22-2000002-2-220000-22i2−i2i2−i2i2−i2i2−i2000000000−i2i2−i2i20000
χ3222-2-2-222-22-2000002-2-220000-22−i2i2−i2i2−i2i2−i2i2000000000i2−i2i2−i20000
χ3322-2-2-222-22-200000-222-20000-22i2−i2i2−i2−i2i2−i2i2000000000i2−i2−i2i20000
χ3422-2-2-222-22-200000-222-20000-22−i2i2−i2i2i2−i2i2−i2000000000−i2i2i2−i20000
χ3522-2-2-222-22-200000-22-2200002-2i2−i2i2−i2−i2i2−i2i2000000000−i2i2i2−i20000
χ3622-2-2-222-22-200000-22-2200002-2−i2i2−i2i2i2−i2i2−i2000000000i2−i2−i2i20000
χ37444444-4-4-4-4444-4-400000000000000000000000000000000000
χ38444444-4-4-4-4-4-4-44400000000000000000000000000000000000
χ394444-4-444-4-444-4-4400000000000000000000000000000000000
χ404444-4-4-4-44444-44-400000000000000000000000000000000000
χ4144-4-44-44-4-44000000000000000000022−22−222200000000000000000
χ4244-4-44-44-4-440000000000000000000−222222−2200000000000000000
χ4344-4-44-4-444-400000000000000022−22−2222000000000000000000000
χ4444-4-44-4-444-4000000000000000−222222−22000000000000000000000
χ4544-4-4-44-44-440000000004i−4i00000000000000000000000000000
χ4644-4-4-44-44-44000000000−4i4i00000000000000000000000000000
χ478-88-8000000000000000004i−4i000000000000000000000000000
χ488-88-800000000000000000−4i4i000000000000000000000000000
χ498-8-880000008i−8i00000000000000000000000000000000000000
χ508-8-88000000−8i8i00000000000000000000000000000000000000

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