Group #73:  Cyclic(2) x Group(32)#38

Magma small group library number: 205

General information about the group

PC-Group relations:
g12 = g6	g1-1 g4 g1 = g4 g5
g2-1 g4 g2 = g4 g6

Center abelian of type: [ 2, 2, 2 ]

Orders of the terms of the Lower Central Series: [ 64, 4, 1 ]

Orders of the terms of the Upper Central Series: [ 1, 8, 64 ]

Order of the Frattini Subgroup: 4

Exponent of G: 4

Orders of the Maximal Elementary Abelian Subgroups: [ 16, 16 ]

Orders of the Centralizers of the Maximal Elementary Abelian Subgroups: [ 32, 16 ]

Orders of the Normalizers of the Maximal Elementary Abelian Subgroups: [ 64, 64 ]