class PermutationGroup {

    public List<Permutation> getLeftTransversal(int index) {
        List<Permutation> traversal = new ArrayList<Permutation>();
        for (int subIndex = 0; subIndex < size; subIndex++) {
            if (permutations[index][subIndex] != null) {
                traversal.add(permutations[index][subIndex]);
            }
        }
        return traversal;
    }

    public  PermutationGroup(int size);
    public  PermutationGroup(Permutation base);
    public  PermutationGroup(int size, List<Permutation> generators);

}