# Group 6402373705728000.a downloaded from the LMFDB on 28 December 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( (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18), (1,2) ); # Booleans booleans_6402373705728000_a := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := true, cyclic := false, metabelian := false, metacyclic := false, monomial := false, nilpotent := false, perfect := false, quasisimple := false, rational := true, solvable := false, supersolvable := false);