The (3,14)-Graph of Order 384

Our (3,14)-graph of order 384 can be viewed as a lift of the graph in the figure below. The lifting group is non-abelian of order 48, and is #18 in the GAP catalog for groups of order 48. The group is a semidirect product of a cyclic group of order 3 by a generalized quaternion group of order 16.

Information on lifts, and more details about this and other graphs, can be seen here. A note in the Electronic Journal of Combinatorics on this graph can be found here.

Adjacency List
Hamiltonian Cycle
Ugly Picture

Geoff Exoo