# Group 229582512.bv downloaded from the LMFDB on 24 July 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(18304798551076963901005174575470276854697809285802672952281023849112609468448902400189482500813879374123201431205644149147013305839192325257786074345391981402391417116686306283491320180272884257405660186046020860113902608723690886899537601944348368754463406286596347578217826934563438540352859297233053890774361212009321087913008763209424203824804651789538118213481157199302915453028746633367217623694612542834136224411780442149321982304320452603416963088670898416165045675686218526222704677112637999568853859041397126440449491461116136812308512756184959635495507384577633003089885875541487315186543096123338225198669762290413673808027174045374108083200328291079203230339462816592534129475033261206566219906677913425045696656837772929032256233645685999403124596720717123014409774725014180040570695514996451130821866122396533185728144435110972646666379736897239333769430124378066923682587620638361736147406569517067449048998175456888860011079392485894142691749563957562557809671204609468441217238720440086794024884589192843999636825744044827218492976473491889162250317992246179950790296542552063,229582512); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.5; e := GPC.8; f := GPC.9; g := GPC.10; h := GPC.11; i := GPC.12; j := GPC.14; k := GPC.15; l := GPC.16; m := GPC.17; n := GPC.18; o := GPC.19;
GPerm := Group( (1,20,16,2,19,18,3,21,17)(4,13,33,6,15,31,5,14,32)(7,29,26,8,30,25,9,28,27)(10,36,23,11,34,24,12,35,22), (1,31,13,8,26,19,2,33,15,9,27,20,3,32,14,7,25,21)(4,18,28,5,17,29)(6,16,30)(10,35,11,34,12,36)(22,24), (1,32,10,16)(2,31,11,17)(3,33,12,18)(4,27,21,23,29,14,9,34,5,25,19,24,30,13,7,35,6,26,20,22,28,15,8,36) );

 
# Booleans 
booleans_229582512_bv := rec( 
Agroup := false,
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);