[GAP Forum] Extension

[sadegh salehi]

Hello dear GAP Forum members,
 
By the Atlas of finite groups, we know that the simple group PSL(2,9)has three cyclicautomorphic extensions:  S6 (Symmetric group of degree 6), PGL(2,9) and the 'Mathieu' group M(10).
Also we note that M(10) is non-split extension of PSL(2,9). So it can not be Created by the semidirect product.
Is there any way to access the automorphic extension of PSL(2,25) or PSL(2,49) , PSL(3,4), ...  in Gap?
I will be appreciate for any suggestion.

With Best Regards.
Seyed Sadegh Salehi Amiri.
Department of  Mathematics, Islamic Azad University, Babol Branch, Iran.
salehisss at yahoo.com
salehisss at baboliau.ac.ir