8Gamma2a

Definition

The lattice of normal subgroups with families indicated

Members

Member name	Hall-Senior symbol	Second part of GAP ID	Hall-Senior name
dihedral group:D8	$8\Gamma _{2}a_{1}$	3	4
quaternion group	$8\Gamma _{2}a_{2}$	4	5

Arithmetic functions

List	Value	Explanation/comment
prime-base logarithm of successive quotients of members of derived series	2, 1
prime-base logarithm of successive quotients of members of upper central series	1, 2 (becomes 2,1) if counted top-to-bottom)
prime-base logarithm of successive quotients of member of Frattini series	2, 1