From bcc0be0b7c616bb41c91adb27672c831b80a16e5 Mon Sep 17 00:00:00 2001
From: Ulli Kehrle <ulli.kehrle@rwth-aachen.de>
Date: Wed, 7 Nov 2018 12:37:19 +0100
Subject: Added sample

---
 test.g | 37 +++++++++++++++++++++++++++++++++++++
 1 file changed, 37 insertions(+)
 create mode 100644 test.g

diff --git a/test.g b/test.g
new file mode 100644
index 0000000..e6b967e
--- /dev/null
+++ b/test.g
@@ -0,0 +1,37 @@
+gap> Read("subgroupladder.g");
+gap> l := [[2,3,5,8],[6,12,15],[14,9,17],[19,7,4,13,1,18],[20,16]];
+[ [ 2, 3, 5, 8 ], [ 6, 12, 15 ], [ 14, 9, 17 ], [ 19, 7, 4, 13, 1, 18 ], [ 20, 16 ] ]
+gap> P := DirectProduct(List(l, SymmetricGroup));
+<permutation group of size 1244160 with 9 generators>
+gap> Subgroupladder(P);
+[ <permutation group of size 1244160 with 9 generators>, <permutation group of size 311040 with 9 generators>, <permutation group of size 2177280 with 9 generators>, <permutation group of size 725760 with 8 generators>, 
+  <permutation group of size 5806080 with 8 generators>, <permutation group of size 2903040 with 7 generators>, <permutation group of size 26127360 with 7 generators>, <permutation group of size 261273600 with 7 generators>, 
+  <permutation group of size 87091200 with 6 generators>, <permutation group of size 958003200 with 6 generators>, Group([ (1,2,3,4,5,6,7,8,9,10,11), (1,2), (12,13,14), (12,13), (15,16) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,
+   12), (1,2), (13,14,15), (13,14), (16,17) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13), (1,2), (14,15,16), (14,15), (17,18) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13), (1,2), (14,15), (16,17) ]), Group([ (1,2,3,4,5,6,7,8,9,
+   10,11,12,13,14), (1,2), (15,16), (17,18) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13,14), (1,2), (15,16) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15), (1,2), (16,17) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
+   16), (1,2), (17,18) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16), (1,2) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17), (1,2) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18), (1,2) ]) ]
+gap> ll := List(last, Order);
+[ 1244160, 311040, 2177280, 725760, 5806080, 2903040, 26127360, 261273600, 87091200, 958003200, 479001600, 5748019200, 74724249600, 24908083200, 348713164800, 174356582400, 2615348736000, 41845579776000, 20922789888000, 
+  355687428096000, 6402373705728000 ]
+gap> for i in [2..Length(ll)] do Print(ll[i]/ll[i-1],"\n"); od;
+1/4
+7
+1/3
+8
+1/2
+9
+10
+1/3
+11
+1/2
+12
+13
+1/3
+14
+1/2
+15
+16
+1/2
+17
+18
+gap> 
-- 
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