# Group 192036096000.f downloaded from the LMFDB on 03 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( (1,2,3,5,9,15)(4,7,13)(6,11,17)(8,12,10,16,20,21)(14,18,19)(22,23), (2,4,8,14,19,15,16,20,9,11,13,3,6,12)(5,10,17,18,21)(22,23) ); # Booleans booleans_192036096000_f := 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);