# Group 17635968.c downloaded from the LMFDB on 30 October 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( (1,16,5,9,11,23,2,17,4,8,12,22,3,18,6,7,10,24)(13,21)(14,20)(15,19), (1,10,9,4,21,23,2,11,7,6,19,24,3,12,8,5,20,22)(13,17,14,16,15,18) ); # Booleans booleans_17635968_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);