# Group 1328.2 downloaded from the LMFDB on 28 June 2026. 
 
## 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(113839041745553676017,1328); a := GPC.1; b := GPC.3;
GPerm := Group( (1,4,2,3), (5,8,6,7), (1,2)(3,4), (5,6)(7,8), (9,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10) );
GLFp := Group([[[ Z(997)^57, 0*Z(997) ], [ 0*Z(997), Z(997)^942 ]], [[ Z(997)^249, 0*Z(997) ], [ 0*Z(997), Z(997)^747 ]]]);

 
# Booleans 
booleans_1328_2 := rec( 
Agroup := true,
Zgroup := false,
abelian := true,
almost_simple := false,
cyclic := false,
metabelian := true,
metacyclic := true,
monomial := true,
nilpotent := true,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := true);