I miss the possibility to store a larger list of FpGroups to a file.
As far as I know, only permutation and matrix groups are implemented:
gap> L24fp;
[ Group([ g1, g2, g3, g4 ]), Group([ g1, g2, g3, g5*g4^-1 ]), Group([ g1, g2, g3, g4^-2 ]), Group([ g1, g2, g3, g4^3 ]), Group([ g1, g2, g3, g4^-1*g5^2*g4^-1 ]),
Group([ g1, g2, g3, g4^-4 ]), Group([ g1, g2, g4 ]), Group([ g1, g2, g4^-2, g5*g4^-1 ]), Group([ g1, g2, g5*g4^-1, g3*g5*g4^-1*g3^-1 ]),
Group([ g1, g2, g5*g4^-1, g3*g4^-2*g3^-1 ]), Group([ g1, g2, g5*g4^-1, g3*g4^2*g5^-1*g3^-1 ]), Group([ g1, g2, g5*g4^-1, g3*g4^3*g3^-1 ]),
Group([ g1, g2, g5*g4^-1, g3*g4^-2*g5*g4^-1*g3^-1 ]), Group([ g1, g2, g5*g4^-1, g3*g4^-4*g3^-1 ]), Group([ g1, g2, g5*g4, g4^3 ]), Group([ g1, g2, g5*g4, g4^-4 ]),
Group([ g1, g2, g5*g4, g4^5 ]), Group([ g1, g2, g5*g4, g4^-6 ]), Group([ g1, g2, g5*g4, g4^7 ]), Group([ g1, g2, g5*g4, g4^-8 ]), Group([ g1, g2, g4^-2 ]),
Group([ g1, g2, g3*g4^-2*g3^-1, g4^-4 ]), Group([ g1, g2, g4^-2*g5^-1*g4^-1 ]), Group([ g1, g2, g3*g4^-2*g3^-1, g4^-2*g5*g4^-1 ]), Group([ g1, g3, g4 ]),
Group([ g1, g3, g5*g4^-1 ]), Group([ g1, g3, g4^-2 ]), Group([ g1, g3, g4^-1*g5^2*g4^-1 ]), Group([ g1, g3, g4^3 ]), Group([ g1, g4 ]),
Group([ g1, g4*g2^-1, g4^-1*g2^-1 ]), Group([ g1, g4*g2^-1, g3*g4^-2*g3^-1 ]), Group([ g1, g4*g2^-1, g3*g4^3*g3^-1 ]), Group([ g1, g4*g2^-1, g3*g4^-4*g3^-1 ]),
Group([ g1, g4^-2, g5*g4^-1 ]), Group([ g1, g5*g4^-1, g3*g5*g4^-1*g3^-1 ]), Group([ g1, g5*g4^-1, g3*g4^-2*g3^-1 ]), Group([ g1, g5*g4, g2*g4^2 ]),
Group([ g1, g4^-2, g5^-2, g2*g4*g5^-1 ]), Group([ g1, g2*g4*g5^-1, g3*g4^-2*g3^-1 ]), Group([ g1, g5*g4, g4^3 ]), Group([ g1, g5*g4, g4^3*g2^-1 ]),
Group([ g1, g5*g4, g4^-4 ]), Group([ g1, g5*g4, g2*g4^4 ]), Group([ g1, g2*g4*g5, g2*g4^-2 ]), Group([ g1, g2*g4*g5, g2*g4^-1*g5^-1, g4^-4 ]),
Group([ g1, g2*g4*g5, g2*g4^-1*g5^-1, g4^-2*g5*g4^-1 ]), Group([ g1, g2*g4^2, g2*g4^-2 ]), Group([ g1, g4^-2 ]), Group([ g2, g3, g4 ]), Group([ g2, g3, g5*g4^-1 ]),
Group([ g2, g3, g4^-2 ]), Group([ g2, g3, g4^2*g5^-1 ]), Group([ g2, g3, g4^3 ]), Group([ g2, g3, g4^-1*g5^2*g4^-1 ]), Group([ g2, g4, g5 ]),
Group([ g2, g4, g5^-2, g1*g3^-1*g5^-1 ]), Group([ g2, g4, g5^-2 ]), Group([ g2, g4, g5^3 ]), Group([ g2, g4, g1*g3^-1*g5^3 ]), Group([ g2, g4, g5^-4 ]),
Group([ g2, g5*g4^-1, g1*g4^2 ]), Group([ g2, g5*g4^-1, g3*g5*g4^-1*g3^-1 ]), Group([ g2, g5*g4^-1, g4*g3^-1*g4^-1*g3, g4^3*g1^-1 ]),
Group([ g2, g5*g4^-1, g3*g4^-2*g3^-1 ]), Group([ g2, g5*g4^-1, g1*g3*g4^2*g3^-1 ]), Group([ g2, g5^-2, g1*g3*g5^-1, g4^-4 ]), Group([ g2, g4^-2, g5^-2 ]),
Group([ g2, g4^-2, g3*g4^2*g1^-1 ]), Group([ g2*g1^-1, g3, g4 ]), Group([ g2*g1^-1, g3, g5*g4^-1 ]), Group([ g2*g1^-1, g3, g4^-2 ]),
Group([ g2*g1^-1, g3, g4^-1*g5^2*g4^-1 ]), Group([ g2*g1^-1, g3, g4^3 ]), Group([ g2*g1^-1, g4 ]), Group([ g2*g1^-1, g4*g1^-1, g4^-1*g1^-1 ]),
Group([ g2*g1^-1, g4*g1^-1, g4^-3*g1^-1 ]), Group([ g2*g1^-1, g4*g1^-1, g4^-5*g1^-1 ]), Group([ g2*g1^-1, g4*g1^-1, g4^-7*g1^-1 ]),
Group([ g2*g1^-1, g4*g3^-1, g4^-1*g3 ]), Group([ g2*g1^-1, g4^-1*g3, g3*g5^2 ]), Group([ g2*g1^-1, g4^-1*g3, g4^2*g5^-1*g3^-1 ]), Group([ g2*g1^-1, g4^-2, g5*g4^-1 ]),
Group([ g2*g1^-1, g5*g4^-1, g3*g5*g4^-1*g3^-1 ]), Group([ g2*g1^-1, g5*g4^-1, g4*g3^-1*g4^-1*g3, g4^3*g1^-1 ]), Group([ g2*g1^-1, g5*g4^-1, g3*g4^-2*g3^-1 ]),
Group([ g2*g1^-1, g5*g4, g4^3 ]), Group([ g2*g1^-1, g5*g4, g4^-4 ]), Group([ g2*g1^-1, g1*g4*g5, g4^-4 ]), Group([ g2*g1^-1, g4^-2 ]), Group([ g3, g4 ]),
Group([ g3, g5*g4^-1 ]), Group([ g3, g4^-2 ]), Group([ g4, g5 ]), Group([ g4, g5*g2^-1, g5^-1*g2^-1 ]), Group([ g4, g5*g2^-1, g1*g3^-1*g5 ]),
Group([ g4, g5*g2^-1, g5^-3*g2^-1 ]), Group([ g4, g5*g2^-1, g1*g3^-1*g5^3 ]), Group([ g4, g5^-2, g1*g3^-1*g5^-1 ]), Group([ g4, g1*g3^-1*g5^-1, g5^-4 ]),
Group([ g4, g5^-2, g2*g3*g4^-1*g1^-1 ]), Group([ g4, g5^-2 ]), Group([ g4, g5^-4, g1*g2*g3^-1*g5^-2 ]), Group([ g4*g2^-1, g5*g2^-1, g1*g2*g4 ]),
Group([ g4*g2^-1, g5*g2^-1, g3*g4^-2*g3^-1 ]), Group([ g4*g2^-1, g5*g2^-1, g1*g2*g4^3 ]), Group([ g4*g2^-1, g4^-1*g2^-1, g5^-2 ]),
Group([ g4*g2^-1, g4^-1*g2^-1, g3*g4^2*g1^-1 ]), Group([ g4*g3^-1, g4^-1*g3, g5*g3^-1 ]), Group([ g5*g4^-1, g1*g2*g4^-1, g3*g4^-2*g3^-1 ]),
Group([ g5*g4^-1, g1*g4^2 ]) ]