# Group 10461394944000.a downloaded from the LMFDB on 09 September 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)(3,4,5,6,7,8,9,10,11,12,13,14,15,16), (1,2,3) ); # Booleans booleans_10461394944000_a := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := true, cyclic := false, metabelian := false, metacyclic := false, monomial := false, nilpotent := false, perfect := true, quasisimple := true, rational := false, solvable := false, supersolvable := false);