# Group 25308.a downloaded from the LMFDB on 13 October 2026. 
 
## Various presentations of this group are stored in this file: 
#	 GPC is polycyclic presentation, GPerm is permutation group 
#	 GLZ, GLFp, GLZN, GLZq, GLFq if they exist are matrix groups 
 
# Many characteristics of the group are stored as booleans in a dict: 
#	 Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, 
#	 metacyclic, monomial, nilpotent, perfect, quasisimple, rational, 
#	 solvable, supersolvable 
 

 
# Constructions 
GPerm = PermutationGroup(['(3,20,23,11,9,13,22,14,16,24,34,12,33,15,6,31,37,36)(4,10,35,26,8,29,7,17,25,27,19,28,32,30,18,21,38,5)', '(1,21,2)(3,7,20)(5,13,11)(6,30,37)(8,9,36)(10,26,18)(12,14,17)(15,35,34)(16,29,33)(19,22,24)(23,31,25)(27,28,38)'])

 
# Booleans 
booleans_25308_a = {
    "Agroup": True,
    "Zgroup": False,
    "abelian": False,
    "almost_simple": True,
    "cyclic": False,
    "metabelian": False,
    "metacyclic": False,
    "monomial": False,
    "nilpotent": False,
    "perfect": True,
    "quasisimple": True,
    "rational": False,
    "solvable": False,
    "supersolvable": False
}