##Symplectic cover on 24 vertices


klein:=EdgeOrbitsGraph(
  Group([ (5,6)(7,8)(9,10)(12,13)(14,16)(15,17)(19,20)(21,22)(23,24),
  (4,5)(6,7)(8,9)(11,14)(13,15)(16,17)(18,21)(19,22)(20,23),
  (1,2,3)(4,11,18)(5,15,24,6,17,23)(7,13,21,8,12,22)(9,14,20,10,16,19),
  (1,4)(2,18)(3,11)(7,12)(8,13)(9,20)(10,19)(15,23)(17,24) ]), [[1,4]]);