Group #41

Magma small group library number: 44

General information about the group

PC-Group relations:
g12 = g2	g22 = g3	g32 = g4	g52 = g6
g1-1 g5 g1 = g5 g6

Center abelian of type: [ 2, 8 ]

Orders of the terms of the Lower Central Series: [ 64, 2, 1 ]

Orders of the terms of the Upper Central Series: [ 1, 16, 64 ]

Order of the Frattini Subgroup: 16

Exponent of G: 16

Orders of the Maximal Elementary Abelian Subgroups: [ 4 ]

Orders of the Centralizers of the Maximal Elementary Abelian Subgroups: [ 64 ]

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