/* Group 15944266600786427904000.a downloaded from the LMFDB on 07 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 := PermutationGroup< 38 | (1,10,4,25,35,38,19,32,15,24,29,11,28,5,7,33,17,14,22)(2,9,3,26,36,37,20,31,16,23,30,12,27,6,8,34,18,13,21), (1,11,3)(2,12,4)(5,13,17,33,24,10,27,19,36,31,21,30,8,37,26,6,14,18,34,23,9,28,20,35,32,22,29,7,38,25)(15,16) >;

 
/* Booleans */
RF := recformat< Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, metacyclic, monomial, nilpotent, perfect, quasisimple, rational, solvable, supersolvable  : BoolElt >; 
booleans_15944266600786427904000_a := rec< RF |  
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>;