# Group 1093750.c downloaded from the LMFDB on 15 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 
GPC := PcGroupCode(5104130622105274671984745622229268700857914689072355714897428068903928107472460750602282297877330295891479234732175018623384879625265918536851225,1093750); a := GPC.1; b := GPC.2; c := GPC.4; d := GPC.5; e := GPC.6; f := GPC.7; g := GPC.8; h := GPC.9;
GPerm := Group( (1,3)(4,5)(6,34,9,31,7,33,10,35,8,32)(11,27,14,29,12,26,15,28,13,30)(16,24,20,23,19,22,18,21,17,25), (1,13,2,12,3,11,4,15,5,14)(6,9)(7,8)(16,31,17,35,18,34,19,33,20,32)(21,30,25,26,24,27,23,28,22,29) );

 
# Booleans 
booleans_1093750_c := rec( 
Agroup := true,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := false);