# Group 3265920.a downloaded from the LMFDB on 13 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( (1,3,7,12,20,32,45,64,89)(2,5,11,18,30,43,62,87,106)(4,9,6,13,21,33,46,65,91)(8,14,23,37,53,31,44,63,88)(10,16,26,29,34,47,66,92,102)(15,24,38,54,78,79,59,82,76)(17,28,42,60,84,96,90,107,94)(19,22,35,49,69,81,48,68,93)(25,39,56,80,103,55,36,51,73)(40,57,61,52,75,101,70,95,108)(41,58,67,83,104,86,105,77,99)(50,71,97,109,111,112,110,74,100)(72,98,85), (1,2,4,8)(3,6,12,19)(5,10)(7,9,15,13)(11,17,27,41)(14,22,34,24)(16,25,26,40)(18,29)(20,31,21,30)(23,36,50,70)(28,39,55,79)(32,42,59,38)(33,35,48,67)(37,52,74,80)(43,61,85,56)(44,47)(45,60,83,46)(49,68,91,107)(51,72,95,106)(53,76,102,93)(54,77,89,82)(57,58,81,101)(62,86,71,96)(63,66)(64,65,90,105)(69,94,108,75)(73,99,78,103)(84,87,104,110)(88,92)(98,100) );

 
# Booleans 
booleans_3265920_a := rec( 
Agroup := false,
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);