# Group 10749542400000000.cs downloaded from the LMFDB on 07 November 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( (1,35,3,32,5,34,4,31,2,33)(6,19)(7,16,8,20,9,17)(10,18)(11,22,12,24,14,25,15,23,13,21)(26,37,30,40,29,38,28,39,27,36), (1,14,5,12,4,11,3,15)(2,13)(6,38,8,36,9,37)(7,40,10,39)(16,31)(17,33,18,32,19,34,20,35)(21,26,24,27,22,29)(23,28,25,30), (1,37,5,38,2,39,4,36)(3,40)(6,12,7,14)(8,11,10,15,9,13)(16,18,20)(17,19)(21,23,22,24)(26,27,28)(32,34,33) );

 
# Booleans 
booleans_10749542400000000_cs := rec( 
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
monomial := false,
nilpotent := false,
perfect := false,
quasisimple := false,
solvable := false,
supersolvable := false);