Rank 4 Tail-triangle diagram with parameters (a,b,c,d) = (3,5,5,3)

Small Group ID = [660,13], hypertope number 1.

• Structure of Group

PSL(2,11)

• Generators of Automorphism Group (Permutation Representation for GAP)

r0 := (1,2)(3,7)(4,6)(5,9);

r1 := (1,3)(2,5)(4,8)(7,9);

r2 := (3,4)(5,9)(6,7)(8,10);

r3 := (1,4)(2,6)(5,9)(8,11);

• Finitely Presented Group Representation (GAP)

F := FreeGroup(4);

r0 := F.1;; r1 := F.2;; r2 := F.3;; r3 := F.4;;

G := F/[ r0^2, r1^2, r2^2, r3^2, (r3*r0)^2, (r2*r0)^2, (r3*r2)^3, (r0*r1)^3, r3*r2*r1*r3*r2*r3*r1*r2, (r2*r1)^5, r3*(r1*r3*r1*r2)^2*r1*r2, (r2*r1*r0)^3*r2*r1*r2*r0*r1*r0 ];;

• Number of Elements of each type

type 0: 11 elements

type 1: 55 elements

type 2: 11 elements

type 3: 11 elements

• Order of r₀ r₁ r₂ r₃ : 6

• Non-degenerate leaves of Hypertope

Leaf [ 0, 1 ]