# Group 342798989524992000.a downloaded from the LMFDB on 23 September 2025. 
 
## Various presentations of this group are stored in this file: 
#	 GPC is polycyclic presentation GPerm is permutation group 
#	 GLZ, GLFp, GLZA, GLZq, GLFq if they exist are matrix groups 
 
# Many characteristics of the group are stored as booleans in a record: 
#	 Agroup, Zgroup, abelian, almost_simple,cyclic, metabelian, 
#	 metacyclic, monomial, nilpotent, perfect, quasisimple, rational, 
#	 solvable, supersolvable 
 

 
# Constructions 
GPerm := Group( (1,16,14,3,11,18,6,21,8,28,20,24)(2,15,13,4,12,17,5,22,7,27,19,23)(9,32,25,30)(10,31,26,29), (1,24,12,17,7,15,3,30)(2,23,11,18,8,16,4,29)(5,19,26,22,13)(6,20,25,21,14)(9,32,10,31)(27,28) );

 
# Booleans 
booleans_342798989524992000_a := rec( 
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
monomial := false,
nilpotent := false,
perfect := true,
quasisimple := false,
rational := false,
solvable := false,
supersolvable := false);