For example, [(3,3),4], [(3,3),4], and [(3,3),4] are subgroups of [3,3,4], index 2, 3 and 6 respectively. The generators of [(3,3),4] ≅ [[4,2,4]] ≅ [8,2,8], order 128, are {02,1,3} from [3,3,4] generators {0,1,2,3}. And [(3,3),4] ≅ [[4,2,4]], order 64, has generators {02,1021,3}. As well, [3,4,3 ] ≅ [(3,3),4].