diff --git a/Makefile b/Makefile
index 6f24293..810e345 100644
--- a/Makefile
+++ b/Makefile
@@ -8,8 +8,7 @@ GROUPS344 = 14_40_40_0 14_40_48_0 14_40_54_0 14_40_54_2 14_48_48_0 14_48_48_1 14
GROUPS444 = 40_40_40_0 40_40_48_0 40_40_54_0 40_48_48_0 40_48_54_0 40_48_54_2 40_54_54_0 40_54_54_2 40_54_54_8 48_48_48_0 48_48_48_1 48_48_54_0 48_54_54_0 48_54_54_2 48_54_54_8 54_54_54_0 54_54_54_2
-GROUPS555 = H_1 H_2 H_3 H_4 H_5 H_6 H_7 H_8
-
+GROUPS555 = H_1 H_2 H_3 H_4 H_5 H_6 H_7 H_8 Hyp1 Hyp2
JULIA = /opt/bin/julia
diff --git a/data/presentations_5_5_5.txt b/data/presentations_5_5_5.txt
index c0927b3..f5fada2 100644
--- a/data/presentations_5_5_5.txt
+++ b/data/presentations_5_5_5.txt
@@ -20,3 +20,11 @@ H_6:=Group;
//H_8
H_8:=Group;
+//
+// Group with ≅ PSL₂(109), ≅ Heisenberg(F₅)
+//
+Hyp1:=Group;
+//
+// Group with ≅ PSL₂(109), ≅ SL₂(5)
+//
+Hyp2:=Group;