Groups with same numbers, but different letters should be isomorphic.
Those with different numbers should not be isomorphic.
Groups are as follows:

g0		trivial group
g1		cyclic of order 2
g2		infinite cyclic
g3		free on 2 generators
g4		free abelian on 2 generators
g5		infinite dihedral
g6		dihedral order 6
g7		Frobenius group of order 55
g8		2,3,7 triangle group
g9		2,3,11 triangle group
g10		symmetrized 2,3,7 group
g11		Listing's knot group
g12		trefoil knot group
g13		2-generator surface group
g14		3-generator surface group
g15		3-generator surface group
g16		3-generator surface group
g17		4-generator surface group
g18		4-generator surface group
g19		Bigss graph group no. 2
g20		Bigss graph group no. 3
g21		Bigss graph group no. 4
