do some benchmarks. its pretty fast.

tests.py

@@ -1,16 +1,43 @@
-import time
+from time import time
 
-import groups
+from groups import *
 
 if __name__ == '__main__':
-    g = groups.T(100)
+    gs = [
+        ('T(50)', T(50)),
+        ('T(100)', T(100)),
+        ('T(150)', T(150)),
+        ('T(200)', T(200)),
+        ('T(250)', T(250)),
+        ('B(5)', B(5)),
+        ('H(4)', H(4)),
+        ('B(6)', B(6)),
+        ('E(6)', E(6)),
+        ('B(7)', B(7)),
+        ('E(7)', E(7)),
+    ]
 
-    s = time.time()
-    table = g.solve()
-    e = time.time()
+    print('group, cosets, time, speed')
+    for name, g in gs:
+        s = time()
+        result = g.solve()
+        e = time()
 
-    print(f'elapsed = {e - s:.3g}s')
+        cosets = len(result)
+        diff = e - s
+        speed = cosets / diff
 
-    print(len(table))
-    if len(table) < 20:
-        print(table)
+        print(f'{name}, {cosets :,}, {diff:,.3g}, {speed:,.2g}')
+
+# group, cosets, time, speed
+# T(50), 10,000, 0.0751, 1.3e+05
+# T(100), 40,000, 0.304, 1.3e+05
+# T(150), 90,000, 0.688, 1.3e+05
+# T(200), 160,000, 1.21, 1.3e+05
+# T(250), 250,000, 1.89, 1.3e+05
+# B(5), 3,840, 0.0495, 7.8e+04
+# H(4), 14,400, 0.11, 1.3e+05
+# B(6), 46,080, 0.837, 5.5e+04
+# E(6), 51,840, 0.944, 5.5e+04
+# B(7), 645,120, 17.2, 3.7e+04
+# E(7), 2,903,040, 79.4, 3.7e+04

times.txt

@@ -0,0 +1,12 @@
+group, cosets, time, speed
+T(50), 10,000, 0.0751, 1.3e+05
+T(100), 40,000, 0.304, 1.3e+05
+T(150), 90,000, 0.688, 1.3e+05
+T(200), 160,000, 1.21, 1.3e+05
+T(250), 250,000, 1.89, 1.3e+05
+B(5), 3,840, 0.0495, 7.8e+04
+H(4), 14,400, 0.11, 1.3e+05
+B(6), 46,080, 0.837, 5.5e+04
+E(6), 51,840, 0.944, 5.5e+04
+B(7), 645,120, 17.2, 3.7e+04
+E(7), 2,903,040, 79.4, 3.7e+04