# Group 660602880.c downloaded from the LMFDB on 11 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 
GPerm := Group( (1,3)(5,7)(9,11)(13,15)(17,19)(21,23)(25,27)(29,31)(33,35)(37,39)(41,43)(45,47)(49,51)(53,55)(57,59)(61,63), (2,34)(4,36)(6,38)(8,40)(10,42)(12,44)(14,46)(16,48)(18,50)(20,52)(22,54)(24,56)(26,58)(28,60)(30,62)(32,64), (2,6)(4,8)(10,14)(12,16)(18,22)(20,24)(26,30)(28,32)(34,38)(36,40)(42,46)(44,48)(50,54)(52,56)(58,62)(60,64), (2,4)(6,8)(10,12)(14,16)(18,20)(22,24)(26,28)(30,32)(34,36)(38,40)(42,44)(46,48)(50,52)(54,56)(58,60)(62,64), (1,5)(3,7)(9,13)(11,15)(17,21)(19,23)(25,29)(27,31)(33,37)(35,39)(41,45)(43,47)(49,53)(51,55)(57,61)(59,63), (2,10)(4,12)(6,14)(8,16)(18,26)(20,28)(22,30)(24,32)(34,42)(36,44)(38,46)(40,48)(50,58)(52,60)(54,62)(56,64), (2,18)(4,20)(6,22)(8,24)(10,26)(12,28)(14,30)(16,32)(34,50)(36,52)(38,54)(40,56)(42,58)(44,60)(46,62)(48,64), (1,9)(3,11)(5,13)(7,15)(17,25)(19,27)(21,29)(23,31)(33,41)(35,43)(37,45)(39,47)(49,57)(51,59)(53,61)(55,63), (1,17)(3,19)(5,21)(7,23)(9,25)(11,27)(13,29)(15,31)(33,49)(35,51)(37,53)(39,55)(41,57)(43,59)(45,61)(47,63), (1,33)(3,35)(5,37)(7,39)(9,41)(11,43)(13,45)(15,47)(17,49)(19,51)(21,53)(23,55)(25,57)(27,59)(29,61)(31,63), (3,7)(4,8)(11,15)(12,16)(19,23)(20,24)(27,31)(28,32)(35,39)(36,40)(43,47)(44,48)(51,55)(52,56)(59,63)(60,64), (3,35)(4,36)(7,39)(8,40)(11,43)(12,44)(15,47)(16,48)(19,51)(20,52)(23,55)(24,56)(27,59)(28,60)(31,63)(32,64), (1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24)(25,26)(27,28)(29,30)(31,32)(33,34)(35,36)(37,38)(39,40)(41,42)(43,44)(45,46)(47,48)(49,50)(51,52)(53,54)(55,56)(57,58)(59,60)(61,62)(63,64), (17,49)(18,50)(19,51)(20,52)(21,53)(22,54)(23,55)(24,56)(25,57)(26,58)(27,59)(28,60)(29,61)(30,62)(31,63)(32,64), (9,41)(10,42)(11,43)(12,44)(13,45)(14,46)(15,47)(16,48)(25,57)(26,58)(27,59)(28,60)(29,61)(30,62)(31,63)(32,64), (5,37)(6,38)(7,39)(8,40)(13,45)(14,46)(15,47)(16,48)(21,53)(22,54)(23,55)(24,56)(29,61)(30,62)(31,63)(32,64), (3,17,9,5)(4,18,10,6)(7,19,25,13)(8,20,26,14)(11,21)(12,22)(15,23,27,29)(16,24,28,30)(35,49,41,37)(36,50,42,38)(39,51,57,45)(40,52,58,46)(43,53)(44,54)(47,55,59,61)(48,56,60,62) );

 
# Booleans 
booleans_660602880_c := rec( 
Agroup := false,
Zgroup := false,
abelian := false,
almost_simple := false,
cyclic := false,
metabelian := false,
metacyclic := false,
monomial := false,
nilpotent := false,
perfect := false,
quasisimple := false,
rational := false,
solvable := false,
supersolvable := false);