# Group 444672.d downloaded from the LMFDB on 08 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 
GPC := PcGroupCode(751439422285399723084728580634392475349297656606895727501979273805193502120847420781610125689145843282026370474097146234748295606108717886994247407825282068300540623424406885855916996249548440770356717644133532280271955546529523807400920076913228169841585385107358079,444672); a := GPC.1; b := GPC.7;
GLFp := Group([[[ Z(193)^0, Z(193)^0 ], [ 0*Z(193), Z(193)^0 ]], [[ Z(193), 0*Z(193) ], [ 0*Z(193), Z(193)^7 ]], [[ Z(193)^2, 0*Z(193) ], [ 0*Z(193), Z(193)^190 ]]]);

 
# Booleans 
booleans_444672_d := rec( 
Agroup := true,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := true,
metacyclic := true,
monomial := true,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := false,
solvable := true,
supersolvable := true);