s

2

3

4

4

$X_v$

${\text{A}}_5,{\text{S}}_5$

${\text{A}}_4\times {\text{A}}_5$ , $\left({\text{A}}_4\times {\text{A}}_5\right):{\mathbb{Z}}_2$ , ${\text{S}}_4\times {\text{S}}_5$

$\text{ASL}\left(2,4\right)$ , $\text{AGL}\left(2,4\right)$ , $\text{A}\Sigma \text{L}\left(2,4\right)$ , $\text{A}\Gamma \text{L}\left(2,4\right)$

${\mathbb{Z}}_2^6:\Gamma \text{L}\left(2,4\right)$

$\left|X_v\right|$

60, 120

720, 1440, 2880

960, 1920, 2880, 5760

23040