#= Group 660.13 downloaded from the LMFDB on 06 October 2026. =#
 
#= Various presentations of this group are stored in this file: 
	 GPC is polycyclic presentation, GPerm is permutation group 
	 GLZ, GLFp, GLZN, GLZq, GLFq if they exist are matrix groups 
 
 Many characteristics of the group are stored as booleans in a NamedTuple: 
	 Agroup, Zgroup, abelian, almost_simple, cyclic, metabelian, 
	 metacyclic, monomial, nilpotent, perfect, quasisimple, rational, 
	 solvable, supersolvable 
 
=#
 
#= Constructions =#
GPerm = @permutation_group(11, (1,5,11,9,10)(2,7,6,3,4), (1,2,8)(3,7,9)(5,6,10))
GLFp = matrix_group([matrix(GF(11), [[7, 10, 5], [7, 6, 8], [1, 5, 9]]), matrix(GF(11), [[2, 8, 7], [8, 2, 4], [3, 8, 6]])])

 
#= Booleans =#
booleans_660_13 = (
    Agroup = true,
    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,
)