Dihedral group:D152

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Definition

This group is the dihedral group of order $152$.

Arithmetic functions

Function	Value	Explanation
order	152
nilpotency class	--	not a nilpotent group.
minimum size of generating set	2

GAP implementation

Group ID

This finite group has order 152 and has ID 5 among the groups of order 152 in GAP's SmallGroup library. For context, there are groups of order 152. It can thus be defined using GAP's SmallGroup function as:

SmallGroup(152,5)

For instance, we can use the following assignment in GAP to create the group and name it $G$:

gap> G := SmallGroup(152,5);

Conversely, to check whether a given group $G$ is in fact the group we want, we can use GAP's IdGroup function:

IdGroup(G) = [152,5]

or just do:

IdGroup(G)

to have GAP output the group ID, that we can then compare to what we want.

Other descriptions

The group can be defined using GAP's DihedralGroup function:

DihedralGroup(152)