# Group 1358954496.cf downloaded from the LMFDB on 23 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(489290536106049333121806530627747006608040076816272571909328343546198187056224797136954996121144046399578754608963026210365052168624090623133907257775511249056647949556048008099431096828867963300780665572697328097938488268549839005016988342710697903861827595329417204782538182237660842078851952025607127253563971413067062274861152873035963344792491476338376937416045565575989976350189817277757413815250926107621839822852891462678090156752915676240596193092773717385853579571391064267815486747948459444757451486750885763432270078407184718134198994628735040645215833960208338872065776989613368382041757288297657623131895673045288690049672149283844485879274105211332564478200947392135947552090288182271922944374751850063654493868083149414153671586622693946333951916918908249910660458641530721091914759036665535779221416648879134593876430141087626003472160779927920709666862065124305914808383734479972293718580544647208459248646186768105576395798084984605594043844792568675799381655564897596760139098786052715883663740770661413013430344052042538317252828156937484245406109047205035335974300199945143789083291223928995201456103875213928833558653229889212434586362488467321555700336414876881451614455086664687369121792795559058931585318186211026423936661102615718931167475400619931964762865838438453632874636839775417422998154883294478579880826351108426270877169373907695224109519164056658745902393704581979486915519169743417921473922756500695613622977332333840782995821352196288538624884097779383019145003852396194636597032747399738361919399711080205207115792358782063280264060638683058452258561525038607911336729559342284398610015424422766655950260856529075051540759827619322732804140226920947689374575938843697706340589340997649154236064539140105713204850249930465908696786213942377919677474055671008706108813945848927781354740153527562741071837269617883424692241572445666428946419571045290089447998005489247321578038832269683053421551324782688360616862471508779098146041386520485610394484629730766358632432916724166269545051288132694356364541774950930725446554475534499586916865688557665477522763910990359027605484637455872413584328868644265104400450482828505767412369541279357971352532037912078308385656273469515221803328578601055543815803956871883431252984966665441049641802287938199760651433239479471952694747143020128424091090149114336394303143219279481723001282075648891204200748245191598352564081625087660037808440093535338082042193960538008938852323128673315680005940948846017123974241996110098902475083694921549808232687736282658360832067897559013390264763026151601924865861520667666729875721983280655323786736080220667904,1358954496); a := GPC.1; b := GPC.3; c := GPC.6; d := GPC.9; e := GPC.11; f := GPC.13; g := GPC.15; h := GPC.16; i := GPC.17; j := GPC.18; k := GPC.19; l := GPC.20; m := GPC.21; n := GPC.22; o := GPC.23; p := GPC.24; q := GPC.25; r := GPC.26; s := GPC.27; t := GPC.28;
GPerm := Group( (1,2)(3,4)(5,14)(6,13)(7,15)(8,16)(9,11)(10,12)(17,18)(19,29)(20,30)(21,32)(22,31)(25,26)(33,36)(34,35), (3,16,18,5,4,15,17,6)(7,12,14,9,8,11,13,10)(19,24,25,22,20,23,26,21)(27,30,35,34,28,29,36,33), (1,36,7,21,3,32,10,29,17,27,6,26)(2,35,8,22,4,31,9,30,18,28,5,25)(11,23,15,33,13,20)(12,24,16,34,14,19) );

 
# Booleans 
booleans_1358954496_cf := 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);