Subgroups — #16749461

Order 3328.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129159	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128502	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127160	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127085	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127072	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127050	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126980	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126958	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126796	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126468	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126453	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126449	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126442	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126424	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126378	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126321	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126313	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125931	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125883	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125741	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125694	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125654	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125632	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125120	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125033	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124138	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124107	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124087	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124082	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123895	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88256	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#6131	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
36	#11719539	C₂²	1	1	yes	characteristic
37	C₂×#88203	C₂²	1	1	yes	characteristic, complemented
38	#11719522	C₂²	1	1	yes	characteristic, complemented
39	C₂×#88196	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88162	C₂²	1	1	yes	characteristic, complemented
45	C₂²×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
46	#11719438	C₂²	1	1	yes	characteristic, complemented
47	#11719431	C₂²	1	1	yes	characteristic, complemented
48	#11719389	—	2	1	no	—
49	#11719383	—	2	1	no	—
50	#11719381	—	2	1	no	—
51	#11719381	—	2	1	no	—
52	#11719381	C₂²	1	1	yes	characteristic, complemented
53	#11719379	—	2	1	no	—
54	#11719379	—	2	1	no	—
55	#11719379	C₂²	1	1	yes	characteristic, complemented
56	#11719335	—	2	1	no	—
57	#11719335	C₂²	1	1	yes	characteristic
58	#11719334	—	2	1	no	—
59	#11719334	C₂²	1	1	yes	characteristic, complemented
60	#11719325	—	2	1	no	—
61	#11719314	—	2	1	no	—
62	#11719314	C₂²	1	1	yes	characteristic, complemented
63	#11719314	C₂²	1	1	yes	characteristic, complemented
64	#11719313	C₂²	1	1	yes	characteristic, complemented
65	#11719310	—	2	1	no	—
66	D₁₃×#121	—	2	1	no	—
67	D₁₃×#121	C₂²	1	1	yes	characteristic, complemented
68	D₁₃×#121	C₂²	1	1	yes	characteristic, complemented
69	#11719304	C₂²	1	1	yes	characteristic, complemented
70	#11719282	C₂²	1	1	yes	characteristic, complemented
71	#11719279	C₂²	1	1	yes	characteristic, complemented
72	#11719267	C₂²	1	1	yes	characteristic, complemented
73	#11719259	C₂²	1	1	yes	characteristic, complemented
74	#11719255	C₂²	1	1	yes	characteristic, complemented
75	D₄×D₅₂	—	2	1	no	—
76	D₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
77	#11719252	—	2	1	no	—
78	#11719252	C₂²	1	1	yes	characteristic
79	#11719240	—	2	1	no	—
80	#11719235	C₂²	1	1	yes	characteristic, complemented
81	#11719234	C₂²	1	1	yes	characteristic, complemented
82	#11719232	—	2	1	no	—
83	#11719230	C₂²	1	1	yes	characteristic, complemented
84	#11719229	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
98	#11718900	C₂²	1	1	yes	characteristic, complemented
99	#11718888	C₂²	1	1	yes	characteristic, complemented
100	#11718837	C₂²	1	1	yes	characteristic, complemented
101	#11718834	C₂²	1	1	yes	characteristic, complemented
102	#11718833	C₂²	1	1	yes	characteristic, complemented
103	#11718833	C₂²	1	1	yes	characteristic, complemented
104	#11718824	C₂²	1	1	yes	characteristic, complemented
105	#11718817	C₂²	1	1	yes	characteristic, complemented
106	#11718817	C₂²	1	1	yes	characteristic, complemented
107	#11718812	C₂²	1	1	yes	characteristic, complemented
108	#11718796	C₂²	1	1	yes	characteristic, complemented
109	#11718789	C₂²	1	1	yes	characteristic, complemented
110	#11718787	C₂²	1	1	yes	characteristic, complemented
111	#11718775	C₂²	1	1	yes	characteristic, complemented
112	#11718772	C₂²	1	1	yes	characteristic, complemented
113	#11718771	C₂²	1	1	yes	characteristic, complemented
114	#11718749	C₂²	1	1	yes	characteristic, complemented
115	#11718745	C₂²	1	1	yes	characteristic, complemented
116	#11718720	C₂²	1	1	yes	characteristic, complemented
117	#11718718	C₂²	1	1	yes	characteristic, complemented
118	#11718713	C₂²	1	1	yes	characteristic, complemented
119	#11718707	C₂²	1	1	yes	characteristic, complemented
120	#11718700	C₂²	1	1	yes	characteristic, complemented
121	#11718700	C₂²	1	1	yes	characteristic, complemented
122	#11718700	C₂²	1	1	yes	characteristic, complemented
123	#11718698	C₂²	1	1	yes	characteristic, complemented
124	#11718697	C₂²	1	1	yes	characteristic, complemented
125	#11718697	C₂²	1	1	yes	characteristic, complemented
126	#11718689	C₂²	1	1	yes	characteristic, complemented
127	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
128	#11718676	C₂²	1	1	yes	characteristic, complemented
129	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
130	#11718673	C₂²	1	1	yes	characteristic, complemented
131	#11718664	C₂²	1	1	yes	characteristic, complemented
132	#11718664	C₂²	1	1	yes	characteristic, complemented
133	#11718662	C₂²	1	1	yes	characteristic, complemented
134	#11718662	C₂²	1	1	yes	characteristic, complemented
135	#11718552	C₂²	1	1	yes	characteristic, complemented
136	#11718547	C₂²	1	1	yes	characteristic, complemented
137	#11718544	C₂²	1	1	yes	characteristic, complemented
138	#11718543	C₂²	1	1	yes	characteristic, complemented
139	#11718530	C₂²	1	1	yes	characteristic, complemented
140	#11718526	C₂²	1	1	yes	characteristic, complemented
141	#11718526	C₂²	1	1	yes	characteristic, complemented
142	#11718524	C₂²	1	1	yes	characteristic, complemented
143	#11718524	C₂²	1	1	yes	characteristic, complemented
144	#11718524	C₂²	1	1	yes	characteristic, complemented
145	#11718523	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718505	C₂²	1	1	yes	characteristic, complemented
148	#11718504	C₂²	1	1	yes	characteristic, complemented
149	#11718501	C₂²	1	1	yes	characteristic, complemented
150	#11718499	C₂²	1	1	yes	characteristic, complemented
151	#11718480	C₂²	1	1	yes	characteristic, complemented
152	#11718473	C₂²	1	1	yes	characteristic, complemented
153	#11718472	C₂²	1	1	yes	characteristic
154	#11718472	C₂²	1	1	yes	characteristic, complemented
155	#11718472	C₂²	1	1	yes	characteristic, complemented
156	#11718472	C₂²	1	1	yes	characteristic, complemented
157	#11718472	C₂²	1	1	yes	characteristic, complemented
158	#11718472	C₂²	1	1	yes	characteristic, complemented
159	#11718472	C₂²	1	1	yes	characteristic, complemented
160	#11718472	C₂²	1	1	yes	characteristic, complemented
161	#11718471	C₂²	1	1	yes	characteristic, complemented
162	#11718471	C₂²	1	1	yes	characteristic, complemented
163	#11718471	C₂²	1	1	yes	characteristic, complemented
164	#11718471	C₂²	1	1	yes	characteristic, complemented
165	#11718468	C₂²	1	1	yes	characteristic, complemented
166	#11718466	C₂²	1	1	yes	characteristic, complemented
167	#11718464	C₂²	1	1	yes	characteristic, complemented
168	#11718464	C₂²	1	1	yes	characteristic, complemented
169	#11718464	C₂²	1	1	yes	characteristic, complemented
170	#11718461	C₂²	1	1	yes	characteristic, complemented
171	#11718460	C₂²	1	1	yes	characteristic, complemented
172	#11718459	C₂²	1	1	yes	characteristic, complemented
173	#11718450	C₂²	1	1	yes	characteristic, complemented
174	#11718449	C₂²	1	1	yes	characteristic, complemented
175	#11718447	C₂²	1	1	yes	characteristic, complemented
176	#11718447	C₂²	1	1	yes	characteristic, complemented
177	#11718443	C₂²	1	1	yes	characteristic, complemented
178	#11718442	C₂²	1	1	yes	characteristic, complemented
179	#11718441	C₂²	1	1	yes	characteristic, complemented
180	#11718438	C₂²	1	1	yes	characteristic, complemented
181	#11718438	C₂²	1	1	yes	characteristic, complemented
182	#11718437	C₂²	1	1	yes	characteristic, complemented
183	#11718434	C₂²	1	1	yes	characteristic, complemented
184	#11718434	C₂²	1	1	yes	characteristic, complemented
185	#11718434	C₂²	1	1	yes	characteristic, complemented
186	#11718434	C₂²	1	1	yes	characteristic, complemented
187	#11718434	C₂²	1	1	yes	characteristic, complemented
188	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
189	#11718425	C₂²	1	1	yes	characteristic, complemented
190	#11718423	C₂²	1	1	yes	characteristic, complemented
191	#11718395	C₂²	1	1	yes	characteristic, complemented
192	#11718393	C₂²	1	1	yes	characteristic, complemented
193	#11718393	C₂²	1	1	yes	characteristic, complemented
194	#11718392	C₂²	1	1	yes	characteristic, complemented
195	#11718390	C₂²	1	1	yes	characteristic, complemented
196	#11718389	C₂²	1	1	yes	characteristic, complemented
197	#11718388	C₂²	1	1	yes	characteristic, complemented
198	#11718387	C₂²	1	1	yes	characteristic, complemented
199	#11718373	C₂²	1	1	yes	characteristic, complemented
200	#11718372	C₂²	1	1	yes	characteristic, complemented
201	#11718370	C₂²	1	1	yes	characteristic, complemented
202	#11718367	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	#88256	—	4	2	no	—
206	#88256	—	4	2	no	—
207	C₂×#6131	—	2	1	no	—
208	C₂×#6131	—	2	1	no	—
209	C₂×#6131	—	2	1	no	—
210	C₂×#6131	—	4	2	no	—
211	C₂×#6131	—	4	2	no	—
212	C₂×#6131	C₂³	1	1	yes	characteristic
213	C₂×#6131	C₂³	1	1	yes	characteristic
214	C₂×#6131	C₂³	1	1	yes	characteristic
215	C₂×#6131	C₂³	1	1	yes	characteristic
216	C₂×#6131	C₂³	1	1	yes	characteristic
217	C₂×#6129	C₂³	1	1	yes	characteristic
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	—	2	1	no	—
222	C₂×D₄×D₁₃	—	2	1	no	—
223	C₂×D₄×D₁₃	—	2	1	no	—
224	C₂×D₄×D₁₃	—	2	1	no	—
225	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₂×#6127	—	2	1	no	—
229	C₂×#6127	C₂³	1	1	yes	characteristic
230	C₂×#6127	C₂³	1	1	yes	characteristic
231	C₂²×D₅₂	—	2	1	no	—
232	C₂²×D₅₂	—	2	1	no	—
233	C₂²×D₅₂	C₂³	1	1	yes	characteristic
234	C₂²×D₅₂	C₂³	1	1	yes	characteristic
235	C₂²×D₅₂	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₁₃	—	2	1	no	—
237	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
242	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
243	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
244	C₁₃×#124	—	2	1	no	—
245	C₁₃×#124	—	2	1	no	—
246	C₁₃×#124	—	2	1	no	—
247	C₁₃×#124	C₂³	1	1	yes	characteristic
248	C₁₃×C₂²⋊Q₈	—	2	1	no	—
249	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
250	C₁₃×#121	—	2	1	no	—
251	C₁₃×#121	—	2	1	no	—
252	C₁₃×#121	C₂³	1	1	yes	characteristic
253	C₁₃×#121	C₂³	1	1	yes	characteristic
254	C₁₃×#121	C₂³	1	1	yes	characteristic
255	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₁₃	—	2	1	no	—
257	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
259	C₁₃×#117	—	2	1	no	—
260	C₁₃×#117	C₂³	1	1	yes	characteristic
261	C₁₃×#117	C₂³	1	1	yes	characteristic
262	#88203	—	4	2	no	—
263	#88201	—	2	1	no	—
264	#88201	—	2	1	no	—
265	#88201	C₂³	1	1	yes	characteristic
266	#88200	—	2	1	no	—
267	#88200	—	2	1	no	—
268	#88200	—	2	1	no	—
269	#88200	C₂³	1	1	yes	characteristic
270	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
271	C₂×#6107	C₂³	1	1	yes	characteristic
272	C₂×#6107	C₂³	1	1	yes	characteristic
273	#88196	—	4	2	no	—
274	C₂×#6106	C₂³	1	1	yes	characteristic
275	C₂×#6106	C₂³	1	1	yes	characteristic
276	C₂×#6106	C₂³	1	1	yes	characteristic
277	C₂×#6106	C₂³	1	1	yes	characteristic
278	#88194	—	2	1	no	—
279	#88194	—	2	1	no	—
280	#88194	C₂³	1	1	yes	characteristic
281	#88194	C₂³	1	1	yes	characteristic
282	#88193	—	2	1	no	—
283	#88193	—	2	1	no	—
284	#88193	—	2	1	no	—
285	#88193	—	2	1	no	—
286	#88193	D₄	1	1	yes	characteristic
287	#88192	—	2	1	no	—
288	#88192	—	2	1	no	—
289	#88192	C₂³	1	1	yes	characteristic
290	#88192	C₂³	1	1	yes	characteristic
291	#88191	—	2	1	no	—
292	#88191	—	2	1	no	—
293	#88191	—	2	1	no	—
294	#88191	D₄	1	1	yes	characteristic
295	C₂×#6105	C₂³	1	1	yes	characteristic
296	C₂×#6104	C₂³	1	1	yes	characteristic
297	C₂×#6104	C₂³	1	1	yes	characteristic
298	C₂×#6104	C₂³	1	1	yes	characteristic
299	C₂×#6104	C₂³	1	1	yes	characteristic
300	C₂×#6104	C₂³	1	1	yes	characteristic
301	#88184	—	2	1	no	—
302	#88184	—	2	1	no	—
303	#88184	—	2	1	no	—
304	#88184	—	2	1	no	—
305	#88184	C₂³	1	1	yes	characteristic
306	#88184	C₂³	1	1	yes	characteristic
307	#88184	C₂³	1	1	yes	characteristic
308	#88183	—	2	1	no	—
309	C₄×C₂²⋊D₁₃	—	2	1	no	—
310	C₄×C₂²⋊D₁₃	—	2	1	no	—
311	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
312	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
313	C₂×#6103	—	2	1	no	—
314	#88178	C₂³	1	1	yes	characteristic
315	C₂×#6099	C₂³	1	1	yes	characteristic
316	C₂×#6099	C₂³	1	1	yes	characteristic
317	#88170	—	4	2	no	—
318	#88168	—	4	2	no	—
319	#88168	—	4	2	no	—
320	#88165	—	4	2	no	—
321	#88162	—	4	2	no	—
322	C₂×D₁₀₄	—	4	2	no	—
323	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
324	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
325	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
326	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
327	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
328	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
329	C₂×#6095	C₂³	1	1	yes	characteristic
330	C₂×#6095	C₂³	1	1	yes	characteristic
331	C₂×#6095	C₂³	1	1	yes	characteristic
332	C₂×#6094	C₂³	1	1	yes	characteristic
333	C₂×#6094	C₂³	1	1	yes	characteristic
334	C₂×#6094	C₂³	1	1	yes	characteristic
335	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
336	#88152	—	2	1	no	—
337	#88151	C₂³	1	1	yes	characteristic
338	#88151	C₂³	1	1	yes	characteristic
339	#88150	—	2	1	no	—
340	#88150	D₄	1	1	yes	characteristic
341	#88149	—	2	1	no	—
342	#88149	—	2	1	no	—
343	#88149	—	2	1	no	—
344	#88149	—	2	1	no	—
345	#88149	—	2	1	no	—
346	#88149	C₂³	1	1	yes	characteristic
347	#88149	C₂³	1	1	yes	characteristic
348	#88149	C₂³	1	1	yes	characteristic
349	#88149	C₂³	1	1	yes	characteristic
350	#88149	C₂³	1	1	yes	characteristic
351	#88149	C₂³	1	1	yes	characteristic
352	#88149	C₂³	1	1	yes	characteristic
353	#88148	—	2	1	no	—
354	#88148	—	2	1	no	—
355	#88148	—	2	1	no	—
356	#88148	—	2	1	no	—
357	#88148	—	2	1	no	—
358	#88148	D₄	1	1	yes	characteristic
359	#88147	—	2	1	no	—
360	#88147	C₂³	1	1	yes	characteristic
361	#88147	C₂³	1	1	yes	characteristic
362	C₄⋊C₄×D₁₃	—	2	1	no	—
363	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
364	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
365	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
366	#88144	C₂³	1	1	yes	characteristic
367	#88141	C₂³	1	1	yes	characteristic
368	#88140	—	2	1	no	—
369	#88140	—	2	1	no	—
370	#88138	—	2	1	no	—
371	#88138	—	2	1	no	—
372	#88138	—	2	1	no	—
373	#88138	—	2	1	no	—
374	#88138	—	2	1	no	—
375	#88138	—	2	1	no	—
376	#88138	—	2	1	no	—
377	#88138	—	2	1	no	—
378	#88138	—	2	1	no	—
379	#88138	—	2	1	no	—
380	#88138	—	2	1	no	—
381	#88138	—	2	1	no	—
382	#88138	—	2	1	no	—
383	#88138	—	2	1	no	—
384	#88138	D₄	1	1	yes	characteristic
385	#88137	—	2	1	no	—
386	#88137	—	2	1	no	—
387	#88137	—	2	1	no	—
388	#88137	—	2	1	no	—
389	#88137	D₄	1	1	yes	characteristic
390	#88136	—	2	1	no	—
391	#88136	—	2	1	no	—
392	#88136	—	2	1	no	—
393	#88136	—	2	1	no	—
394	#88136	—	2	1	no	—
395	#88136	—	2	1	no	—
396	#88136	—	2	1	no	—
397	#88136	—	2	1	no	—
398	#88136	—	2	1	no	—
399	#88136	—	2	1	no	—
400	#88136	—	2	1	no	—
401	#88136	—	2	1	no	—
402	#88136	D₄	1	1	yes	characteristic
403	#88135	—	2	1	no	—
404	C₂²⋊C₄×D₁₃	—	2	1	no	—
405	C₂²⋊C₄×D₁₃	—	2	1	no	—
406	C₂²⋊C₄×D₁₃	—	2	1	no	—
407	C₂²⋊C₄×D₁₃	—	2	1	no	—
408	C₂²⋊C₄×D₁₃	—	2	1	no	—
409	#88133	—	2	1	no	—
410	#88132	—	2	1	no	—
411	#88132	D₄	1	1	yes	characteristic
412	#88130	—	2	1	no	—
413	#88129	—	2	1	no	—
414	#88129	C₂³	1	1	yes	characteristic
415	#88128	—	2	1	no	—
416	#88128	—	2	1	no	—
417	#88128	C₂³	1	1	yes	characteristic
418	C₄×D₅₂	—	2	1	no	—
419	C₄×D₅₂	—	2	1	no	—
420	C₄×D₅₂	—	2	1	no	—
421	C₄×D₅₂	—	2	1	no	—
422	C₄×D₅₂	—	2	1	no	—
423	C₄×D₅₂	C₂³	1	1	yes	characteristic
424	C₄×D₅₂	C₂³	1	1	yes	characteristic
425	C₄×D₅₂	C₂³	1	1	yes	characteristic
426	#88126	—	2	1	no	—
427	#88126	—	2	1	no	—
428	#88126	C₂³	1	1	yes	characteristic
429	#88124	—	2	1	no	—
430	C₁₃×#107	C₂³	1	1	yes	characteristic
431	C₁₃×#106	C₂³	1	1	yes	characteristic
432	C₁₃×#106	C₂³	1	1	yes	characteristic
433	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#102	C₂³	1	1	yes	characteristic
441	C₁₃×#102	C₂³	1	1	yes	characteristic
442	C₁₃×#102	C₂³	1	1	yes	characteristic
443	C₁₃×#102	C₂³	1	1	yes	characteristic
444	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₁₃×#97	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88075	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	C₂²⋊#1055	C₂³	1	1	yes	characteristic
452	C₂²⋊#1055	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88061	C₂³	1	1	yes	characteristic
457	#88061	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88060	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88057	C₂³	1	1	yes	characteristic
467	#88056	C₂³	1	1	yes	characteristic
468	#88055	C₂³	1	1	yes	characteristic
469	#88054	C₂³	1	1	yes	characteristic
470	#88054	C₂³	1	1	yes	characteristic
471	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
472	#88050	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88049	C₂³	1	1	yes	characteristic
480	#88049	C₂³	1	1	yes	characteristic
481	#88049	C₂³	1	1	yes	characteristic
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic
485	#88048	C₂³	1	1	yes	characteristic
486	#88048	C₂³	1	1	yes	characteristic
487	#88047	C₂³	1	1	yes	characteristic
488	C₄⋊#1055	C₂³	1	1	yes	characteristic
489	C₄×#1055	C₂³	1	1	yes	characteristic
490	#61653	—	13	1	no	maximal, Sylow
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	—	2	1	no	—
496	C₂³×D₁₃	—	2	1	no	—
497	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
498	C₁₃×#41	—	2	2	no	—
499	C₁₃×#41	—	4	1	no	—
500	C₂×Q₈×C₁₃	—	2	1	no	—
501	C₂×Q₈×C₁₃	—	2	1	no	—
502	C₂×Q₈×C₁₃	—	2	2	no	—
503	C₂×Q₈×C₁₃	—	4	1	no	—
504	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
511	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
533	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
534	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
535	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
536	C₂²×Dic₁₃	—	2	1	no	—
537	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
538	#6131	—	2	2	no	—
539	#6131	—	2	2	no	—
540	#6131	—	2	2	no	—
541	#6131	—	2	2	no	—
542	#6131	—	2	2	no	—
543	#6131	—	4	1	no	—
544	#6131	—	4	1	no	—
545	#6131	—	4	1	no	—
546	#6131	—	4	1	no	—
547	#6131	—	4	1	no	—
548	#6131	—	4	4	no	—
549	#6131	—	4	4	no	—
550	#6131	—	8	2	no	—
551	#6129	—	4	1	no	—
552	#6129	—	4	1	no	—
553	D₄×D₁₃	—	2	2	no	—
554	D₄×D₁₃	—	4	1	no	—
555	D₄×D₁₃	—	4	1	no	—
556	D₄×D₁₃	—	4	1	no	—
557	D₄×D₁₃	—	4	1	no	—
558	D₄×D₁₃	—	4	1	no	—
559	D₄×D₁₃	—	4	4	no	—
560	D₄×D₁₃	—	4	4	no	—
561	D₄×D₁₃	—	8	2	no	—
562	D₄×D₁₃	—	8	2	no	—
563	D₄×D₁₃	—	8	2	no	—
564	D₄×D₁₃	—	8	2	no	—
565	D₄×D₁₃	—	8	2	no	—
566	#6127	—	4	1	no	—
567	#6127	—	4	1	no	—
568	#6127	—	4	1	no	—
569	#6127	—	4	1	no	—
570	#6127	—	4	4	no	—
571	C₂×D₅₂	—	2	1	no	—
572	C₂×D₅₂	—	2	2	no	—
573	C₂×D₅₂	—	2	2	no	—
574	C₂×D₅₂	—	2	1	no	—
575	C₂×D₅₂	—	2	1	no	—
576	C₂×D₅₂	—	2	1	no	—
577	C₂×D₅₂	—	2	1	no	—
578	C₂×D₅₂	—	2	1	no	—
579	C₂×D₅₂	—	2	1	no	—
580	C₂×D₅₂	—	2	1	no	—
581	C₂×D₅₂	—	2	1	no	—
582	C₂×D₅₂	—	2	1	no	—
583	C₂×D₅₂	—	2	1	no	—
584	C₂×D₅₂	—	2	1	no	—
585	C₂×D₅₂	—	2	1	no	—
586	C₂×D₅₂	—	2	1	no	—
587	C₂×D₅₂	—	2	1	no	—
588	C₂×D₅₂	—	2	1	no	—
589	C₂×D₅₂	—	2	1	no	—
590	C₂×D₅₂	—	4	1	no	—
591	C₂×D₅₂	—	4	1	no	—
592	C₂×D₅₂	—	4	1	no	—
593	C₂×D₅₂	—	4	1	no	—
594	C₂×D₅₂	—	4	4	no	—
595	C₂×D₅₂	—	4	4	no	—
596	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
597	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
598	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
599	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
600	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
601	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
602	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
603	C₂×C₄×D₁₃	—	2	1	no	—
604	C₂×C₄×D₁₃	—	2	1	no	—
605	C₂×C₄×D₁₃	—	2	1	no	—
606	C₂×C₄×D₁₃	—	2	1	no	—
607	C₂×C₄×D₁₃	—	2	1	no	—
608	C₂×C₄×D₁₃	—	2	1	no	—
609	C₂×C₄×D₁₃	—	2	1	no	—
610	C₂×C₄×D₁₃	—	2	1	no	—
611	C₂×C₄×D₁₃	—	2	1	no	—
612	C₂×C₄×D₁₃	—	2	1	no	—
613	C₂×C₄×D₁₃	—	2	1	no	—
614	C₂×C₄×D₁₃	—	2	1	no	—
615	C₂×C₄×D₁₃	—	2	1	no	—
616	C₂×C₄×D₁₃	—	4	1	no	—
617	C₂×C₄×D₁₃	—	4	1	no	—
618	C₂×C₄×D₁₃	—	4	4	no	—
619	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
620	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
621	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
622	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
623	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
624	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
625	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
626	C₁₃×SD₁₆	—	2	2	no	—
627	C₁₃×SD₁₆	—	4	1	no	—
628	C₁₃×D₈	—	4	1	no	—
629	C₁₃×M₁₆	—	4	1	no	—
630	C₂×C₈×C₁₃	—	4	1	no	—
631	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
632	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
633	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
634	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
635	C₁₃×C₄⋊C₄	—	2	1	no	—
636	C₁₃×C₄⋊C₄	—	2	1	no	—
637	C₁₃×C₄⋊C₄	—	2	1	no	—
638	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₄²×C₁₃	—	2	1	no	—
655	C₄²×C₁₃	—	2	1	no	—
656	C₄²×C₁₃	—	2	1	no	—
657	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
658	C₂²⋊Dic₁₃	—	2	1	no	—
659	C₂²⋊Dic₁₃	—	2	1	no	—
660	C₂²⋊Dic₁₃	—	2	1	no	—
661	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
663	#6107	—	2	2	no	—
664	#6107	—	4	1	no	—
665	#6106	—	2	2	no	—
666	#6106	—	2	2	no	—
667	#6106	—	4	1	no	—
668	#6106	—	4	1	no	—
669	#6105	—	4	1	no	—
670	#6104	—	2	2	no	—
671	#6104	—	4	1	no	—
672	#6104	—	4	1	no	—
673	#6104	—	4	1	no	—
674	#6104	—	4	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	1	no	—
677	#6103	—	2	1	no	—
678	#6103	—	2	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	—	2	1	no	—
684	#6103	—	2	1	no	—
685	#6103	—	2	1	no	—
686	#6103	—	2	1	no	—
687	#6103	—	2	1	no	—
688	#6103	—	2	1	no	—
689	#6103	—	2	1	no	—
690	#6103	—	2	1	no	—
691	#6103	—	2	1	no	—
692	#6103	—	2	1	no	—
693	#6103	—	2	1	no	—
694	#6103	—	2	1	no	—
695	#6103	—	2	1	no	—
696	#6103	C₂×D₄	1	1	yes	characteristic
697	#6103	C₂×D₄	1	1	yes	characteristic
698	#6103	C₂×D₄	1	1	yes	characteristic
699	#6103	C₂×D₄	1	1	yes	characteristic
700	#6103	C₂×D₄	1	1	yes	characteristic
701	#6103	C₂×D₄	1	1	yes	characteristic
702	C₄⋊Dic₁₃	—	2	1	no	—
703	C₄⋊Dic₁₃	—	2	1	no	—
704	C₄⋊Dic₁₃	—	2	1	no	—
705	C₄⋊Dic₁₃	—	2	1	no	—
706	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
707	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
708	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	C₂×D₄	1	1	yes	characteristic
717	#6101	C₂×D₄	1	1	yes	characteristic
718	#6101	C₂×D₄	1	1	yes	characteristic
719	#6101	C₂×D₄	1	1	yes	characteristic
720	C₄×Dic₁₃	—	2	1	no	—
721	C₄×Dic₁₃	—	2	1	no	—
722	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
723	#6099	—	4	1	no	—
724	#6099	—	4	1	no	—
725	C₂×#1055	C₂⁴	1	1	yes	characteristic
726	C₂×#1055	C₂⁴	1	1	yes	characteristic
727	C₂×#1055	C₂⁴	1	1	yes	characteristic
728	C₂×#1055	C₂⁴	1	1	yes	characteristic
729	D₁₀₄	—	2	2	no	—
730	D₁₀₄	—	2	2	no	—
731	D₁₀₄	—	4	1	no	—
732	D₁₀₄	—	4	1	no	—
733	D₁₀₄	—	4	1	no	—
734	D₁₀₄	—	4	1	no	—
735	#6095	—	2	2	no	—
736	#6095	—	4	1	no	—
737	#6095	—	4	1	no	—
738	#6094	—	4	1	no	—
739	#6094	—	4	1	no	—
740	#6094	—	4	1	no	—
741	C₈×D₁₃	—	4	1	no	—
742	#3542	—	13	1	no	—
743	#3488	—	13	1	no	—
744	#3332	—	13	1	no	—
745	#3326	—	13	1	no	—
746	#3325	—	13	1	no	—
747	#3323	—	13	1	no	—
748	#3321	D₁₃	1	1	yes	characteristic, complemented
749	#3318	—	13	1	no	—
750	#3317	—	13	1	no	—
751	#3306	—	13	1	no	—
752	#3275	—	13	1	no	—
753	#3274	—	13	1	no	—
754	#3274	—	13	1	no	—
755	#3273	—	13	1	no	—
756	#3271	—	13	1	no	—
757	#3268	—	13	1	no	—
758	#3264	—	13	1	no	—
759	#3264	—	13	1	no	—
760	#3224	—	13	1	no	—
761	#3220	—	13	1	no	—
762	#3204	—	13	1	no	—
763	#3198	—	13	1	no	—
764	#3194	—	13	1	no	—
765	#3192	—	13	1	no	—
766	#3125	—	13	1	no	—
767	#3119	—	13	1	no	—
768	#3012	—	13	1	no	—
769	#3008	—	13	1	no	—
770	#3006	—	13	1	no	—
771	#3005	—	13	1	no	—
772	#2978	—	13	1	no	—
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	—	2	1	no	—
775	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
776	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
777	C₂²×D₁₃	—	2	1	no	—
778	C₂²×D₁₃	—	2	1	no	—
779	C₂²×D₁₃	—	2	1	no	—
780	C₂²×D₁₃	—	2	1	no	—
781	C₂²×D₁₃	—	2	1	no	—
782	C₂²×D₁₃	—	4	1	no	—
783	C₂²×D₁₃	—	4	1	no	—
784	C₂²×D₁₃	—	4	1	no	—
785	C₂²×D₁₃	—	4	2	no	—
786	C₂²×D₁₃	—	4	2	no	—
787	C₂²×D₁₃	—	4	2	no	—
788	C₂²×D₁₃	—	4	2	no	—
789	C₂²×D₁₃	—	4	2	no	—
790	C₂²×D₁₃	—	4	2	no	—
791	C₂²×D₁₃	—	8	1	no	—
792	C₂²×D₁₃	—	8	1	no	—
793	C₂²×D₁₃	—	8	1	no	—
794	C₂²×D₁₃	—	8	1	no	—
795	C₂²×D₁₃	—	8	1	no	—
796	C₂²×D₁₃	—	8	1	no	—
797	C₂²×D₁₃	—	8	1	no	—
798	C₂²×D₁₃	—	8	1	no	—
799	C₂²×D₁₃	—	8	1	no	—
800	C₂²×D₁₃	—	8	1	no	—
801	C₂²×D₁₃	—	8	1	no	—
802	C₂²×D₁₃	—	8	1	no	—
803	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
804	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
805	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
806	Q₈×C₁₃	—	2	1	no	—
807	Q₈×C₁₃	—	2	1	no	—
808	Q₈×C₁₃	—	2	1	no	—
809	Q₈×C₁₃	—	4	2	no	—
810	Q₈×C₁₃	—	8	1	no	—
811	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
812	D₄×C₁₃	—	2	1	no	—
813	D₄×C₁₃	—	2	1	no	—
814	D₄×C₁₃	—	2	1	no	—
815	D₄×C₁₃	—	2	1	no	—
816	D₄×C₁₃	—	4	1	no	—
817	D₄×C₁₃	—	4	2	no	—
818	D₄×C₁₃	—	4	2	no	—
819	D₄×C₁₃	—	8	1	no	—
820	D₄×C₁₃	—	8	1	no	—
821	C₂×C₄×C₁₃	—	2	1	no	—
822	C₂×C₄×C₁₃	—	2	1	no	—
823	C₂×C₄×C₁₃	—	2	1	no	—
824	C₂×C₄×C₁₃	—	2	1	no	—
825	C₂×C₄×C₁₃	—	2	1	no	—
826	C₂×C₄×C₁₃	—	2	1	no	—
827	C₂×C₄×C₁₃	—	2	1	no	—
828	C₂×C₄×C₁₃	—	2	1	no	—
829	C₂×C₄×C₁₃	—	2	1	no	—
830	C₂×C₄×C₁₃	—	2	1	no	—
831	C₂×C₄×C₁₃	—	4	2	no	—
832	C₂×C₄×C₁₃	—	4	2	no	—
833	C₂×C₄×C₁₃	—	8	1	no	—
834	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
835	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
836	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
837	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
838	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
839	C₂²⋊D₁₃	—	4	1	no	—
840	C₂²⋊D₁₃	—	4	1	no	—
841	C₂²⋊D₁₃	—	4	1	no	—
842	C₂²⋊D₁₃	—	4	1	no	—
843	C₂²⋊D₁₃	—	4	2	no	—
844	C₂²⋊D₁₃	—	4	2	no	—
845	C₂²⋊D₁₃	—	4	2	no	—
846	C₂²⋊D₁₃	—	8	1	no	—
847	C₂²⋊D₁₃	—	8	1	no	—
848	C₂²⋊D₁₃	—	8	1	no	—
849	C₂²⋊D₁₃	—	8	1	no	—
850	C₂²⋊D₁₃	—	8	1	no	—
851	C₂²⋊D₁₃	—	8	1	no	—
852	C₂²⋊D₁₃	—	8	1	no	—
853	C₂²⋊D₁₃	—	8	1	no	—
854	C₂²⋊D₁₃	—	8	1	no	—
855	C₂²⋊D₁₃	—	8	1	no	—
856	C₂²⋊D₁₃	—	8	1	no	—
857	C₂×Dic₁₃	—	2	1	no	—
858	C₂×Dic₁₃	—	2	1	no	—
859	C₂×Dic₁₃	—	2	1	no	—
860	C₂×Dic₁₃	—	4	1	no	—
861	C₂×Dic₁₃	—	8	1	no	—
862	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
863	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
864	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
865	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
866	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
867	D₅₂	—	2	4	no	—
868	D₅₂	—	2	1	no	—
869	D₅₂	—	2	1	no	—
870	D₅₂	—	2	1	no	—
871	D₅₂	—	2	1	no	—
872	D₅₂	—	2	1	no	—
873	D₅₂	—	2	1	no	—
874	D₅₂	—	2	1	no	—
875	D₅₂	—	2	1	no	—
876	D₅₂	—	2	1	no	—
877	D₅₂	—	4	1	no	—
878	D₅₂	—	4	1	no	—
879	D₅₂	—	4	2	no	—
880	D₅₂	—	4	2	no	—
881	D₅₂	—	4	2	no	—
882	D₅₂	—	4	2	no	—
883	D₅₂	—	4	2	no	—
884	D₅₂	—	4	2	no	—
885	D₅₂	—	4	2	no	—
886	D₅₂	—	8	1	no	—
887	D₅₂	—	8	1	no	—
888	D₅₂	—	8	1	no	—
889	D₅₂	—	8	1	no	—
890	D₅₂	—	8	1	no	—
891	D₅₂	—	8	1	no	—
892	D₅₂	—	8	1	no	—
893	D₅₂	—	8	1	no	—
894	D₅₂	—	8	1	no	—
895	D₅₂	H(5,𝔽₂)	1	2	yes	—
896	C₄×D₁₃	—	2	4	no	—
897	C₄×D₁₃	—	2	1	no	—
898	C₄×D₁₃	—	2	1	no	—
899	C₄×D₁₃	—	2	1	no	—
900	C₄×D₁₃	—	2	1	no	—
901	C₄×D₁₃	—	2	1	no	—
902	C₄×D₁₃	—	2	1	no	—
903	C₄×D₁₃	—	4	1	no	—
904	C₄×D₁₃	—	4	1	no	—
905	C₄×D₁₃	—	4	2	no	—
906	C₄×D₁₃	—	4	2	no	—
907	C₄×D₁₃	—	4	2	no	—
908	C₄×D₁₃	—	4	2	no	—
909	C₄×D₁₃	—	4	2	no	—
910	C₄×D₁₃	—	8	1	no	—
911	C₄×D₁₃	—	8	1	no	—
912	C₄×D₁₃	—	8	1	no	—
913	C₄×D₁₃	—	8	1	no	—
914	C₄×D₁₃	—	8	1	no	—
915	C₄×D₁₃	—	8	1	no	—
916	C₄×D₁₃	—	8	1	no	—
917	Dic₂₆	—	2	1	no	—
918	Dic₂₆	—	2	1	no	—
919	Dic₂₆	—	4	1	no	—
920	C₈×C₁₃	—	2	1	no	—
921	C₈×C₁₃	—	2	1	no	—
922	C₈×C₁₃	—	2	1	no	—
923	C₈×C₁₃	—	2	1	no	—
924	#1055	—	2	1	no	—
925	#1055	—	2	1	no	—
926	#1055	—	2	1	no	—
927	#1055	—	2	1	no	—
928	C₂×H(5,𝔽₂)	—	13	1	no	—
929	C₂²×#41	—	13	1	no	—
930	C₂×#137	—	13	1	no	—
931	C₂×AGL(1,ℤ/8)	—	13	1	no	—
932	C₂×AGL(1,ℤ/8)	—	13	1	no	—
933	C₂×AGL(1,ℤ/8)	—	13	1	no	—
934	C₂×AGL(1,ℤ/8)	—	13	1	no	—
935	C₂×AGL(1,ℤ/8)	—	13	1	no	—
936	C₂×#135	—	13	1	no	—
937	C₂²×D₈	—	13	1	no	—
938	#562	—	26	1	no	—
939	#560	—	26	1	no	—
940	#555	C₂×D₁₃	1	1	yes	characteristic, complemented
941	#553	—	13	1	no	—
942	#552	—	13	1	no	—
943	#551	—	26	1	no	—
944	#550	—	13	1	no	—
945	#550	—	13	1	no	—
946	#550	—	13	1	no	—
947	#548	—	13	1	no	—
948	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
949	#547	—	13	1	no	—
950	#546	—	13	1	no	—
951	#546	—	13	1	no	—
952	#546	—	13	1	no	—
953	#546	—	13	1	no	—
954	#546	—	26	1	no	—
955	#546	—	26	1	no	—
956	#546	—	26	1	no	—
957	D₄²	—	13	1	no	—
958	D₄²	—	13	1	no	—
959	D₄²	—	13	1	no	—
960	D₄²	—	26	1	no	—
961	D₄²	—	26	1	no	—
962	#542	—	13	1	no	—
963	#540	—	13	1	no	—
964	#540	—	26	1	no	—
965	#538	—	26	1	no	—
966	#537	—	13	1	no	—
967	#537	—	13	1	no	—
968	#537	—	26	1	no	—
969	#535	—	13	1	no	—
970	#535	—	13	1	no	—
971	#535	—	26	1	no	—
972	#535	—	26	1	no	—
973	#534	—	26	1	no	—
974	#525	—	13	1	no	—
975	#525	—	13	1	no	—
976	#525	—	26	1	no	—
977	C₂×#121	—	13	1	no	—
978	C₂×#121	—	13	1	no	—
979	C₂×#121	—	26	1	no	—
980	#520	—	13	1	no	—
981	#496	—	13	1	no	—
982	#496	—	13	1	no	—
983	#495	—	13	1	no	—
984	#493	—	13	1	no	—
985	#490	—	13	1	no	—
986	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
987	#488	—	13	1	no	—
988	#486	—	13	1	no	—
989	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
990	#483	—	13	1	no	—
991	#483	—	13	1	no	—
992	#482	—	13	1	no	—
993	#482	—	13	1	no	—
994	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
995	#481	—	13	1	no	—
996	#481	—	13	1	no	—
997	#481	—	13	1	no	—
998	#481	—	13	1	no	—
999	#481	—	13	1	no	—
1000	#480	—	13	1	no	—
1001	#479	—	13	1	no	—
1002	#478	—	13	1	no	—
1003	#476	—	13	1	no	—
1004	#475	C₂×D₁₃	1	1	yes	characteristic, complemented
1005	#470	—	13	1	no	—
1006	#469	—	13	1	no	—
1007	#469	—	13	1	no	—
1008	#469	—	13	1	no	—
1009	#469	—	13	1	no	—
1010	#469	—	13	1	no	—
1011	#469	—	13	1	no	—
1012	#469	—	13	1	no	—
1013	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
1014	#468	—	13	1	no	—
1015	#468	—	13	1	no	—
1016	#468	—	13	1	no	—
1017	#466	—	13	1	no	—
1018	#465	—	13	1	no	—
1019	#465	—	13	1	no	—
1020	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1021	#464	—	13	1	no	—
1022	#464	—	13	1	no	—
1023	#463	—	13	1	no	—
1024	#463	—	13	1	no	—
1025	#463	—	13	1	no	—
1026	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1027	#460	—	13	1	no	—
1028	#460	—	13	1	no	—
1029	#459	—	13	1	no	—
1030	#459	—	13	1	no	—
1031	#459	—	13	1	no	—
1032	#459	—	13	1	no	—
1033	#452	—	13	1	no	—
1034	#452	—	13	1	no	—
1035	#452	—	13	1	no	—
1036	#452	—	13	1	no	—
1037	#452	—	13	1	no	—
1038	#452	—	13	1	no	—
1039	#450	—	13	1	no	—
1040	#450	—	13	1	no	—
1041	#450	—	13	1	no	—
1042	#449	—	13	1	no	—
1043	#449	—	13	1	no	—
1044	#449	—	13	1	no	—
1045	#449	—	13	1	no	—
1046	#449	—	13	1	no	—
1047	#449	—	13	1	no	—
1048	#449	—	13	1	no	—
1049	#449	—	13	1	no	—
1050	#449	—	13	1	no	—
1051	#449	—	13	1	no	—
1052	#449	—	13	1	no	—
1053	#449	—	13	1	no	—
1054	#449	—	13	1	no	—
1055	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1056	#448	—	13	1	no	—
1057	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1058	#447	—	13	1	no	—
1059	#447	—	13	1	no	—
1060	#447	—	13	1	no	—
1061	#447	—	13	1	no	—
1062	#447	—	13	1	no	—
1063	#447	—	13	1	no	—
1064	#447	—	13	1	no	—
1065	#447	—	13	1	no	—
1066	#447	—	13	1	no	—
1067	#447	—	13	1	no	—
1068	#447	—	13	1	no	—
1069	#442	—	13	1	no	—
1070	#442	—	13	1	no	—
1071	#441	—	13	1	no	—
1072	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
1073	C₄×SD₁₆	—	13	1	no	—
1074	C₄×SD₁₆	—	13	1	no	—
1075	C₄×SD₁₆	—	13	1	no	—
1076	C₄×D₈	—	13	1	no	—
1077	#436	—	13	1	no	—
1078	#436	—	13	1	no	—
1079	#436	—	13	1	no	—
1080	#436	—	13	1	no	—
1081	#435	—	13	1	no	—
1082	#435	—	13	1	no	—
1083	#435	—	13	1	no	—
1084	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1085	#433	—	13	1	no	—
1086	#433	—	13	1	no	—
1087	#419	C₂×D₁₃	1	1	yes	characteristic, complemented
1088	#418	—	13	1	no	—
1089	#418	—	13	1	no	—
1090	#417	—	13	1	no	—
1091	#417	—	13	1	no	—
1092	#417	—	13	1	no	—
1093	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1094	C₂×#102	—	13	1	no	—
1095	#408	—	13	1	no	—
1096	#408	—	13	1	no	—
1097	#407	—	13	1	no	—
1098	#407	—	13	1	no	—
1099	C₂²×C₁₃	—	2	1	no	—
1100	C₂²×C₁₃	—	2	1	no	—
1101	C₂²×C₁₃	—	2	1	no	—
1102	C₂²×C₁₃	—	2	1	no	—
1103	C₂²×C₁₃	—	2	1	no	—
1104	C₂²×C₁₃	—	2	1	no	—
1105	C₂²×C₁₃	—	4	1	no	—
1106	C₂²×C₁₃	—	4	1	no	—
1107	C₂²×C₁₃	—	4	1	no	—
1108	C₂²×C₁₃	—	4	1	no	—
1109	C₂²×C₁₃	—	4	1	no	—
1110	C₂²×C₁₃	—	4	1	no	—
1111	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1112	C₂×D₁₃	—	2	1	no	—
1113	C₂×D₁₃	—	2	1	no	—
1114	C₂×D₁₃	—	2	1	no	—
1115	C₂×D₁₃	—	2	1	no	—
1116	C₂×D₁₃	—	2	1	no	—
1117	C₂×D₁₃	—	2	1	no	—
1118	C₂×D₁₃	—	2	1	no	—
1119	C₂×D₁₃	—	2	2	no	—
1120	C₂×D₁₃	—	2	1	no	—
1121	C₂×D₁₃	—	2	1	no	—
1122	C₂×D₁₃	—	4	1	no	—
1123	C₂×D₁₃	—	4	1	no	—
1124	C₂×D₁₃	—	4	1	no	—
1125	C₂×D₁₃	—	4	1	no	—
1126	C₂×D₁₃	—	4	1	no	—
1127	C₂×D₁₃	—	4	1	no	—
1128	C₂×D₁₃	—	4	1	no	—
1129	C₂×D₁₃	—	4	1	no	—
1130	C₂×D₁₃	—	4	1	no	—
1131	C₂×D₁₃	—	4	1	no	—
1132	C₂×D₁₃	—	4	1	no	—
1133	C₂×D₁₃	—	4	1	no	—
1134	C₂×D₁₃	—	4	1	no	—
1135	C₂×D₁₃	—	4	1	no	—
1136	C₂×D₁₃	—	8	2	no	—
1137	C₂×D₁₃	—	8	4	no	—
1138	C₂×D₁₃	—	16	2	no	—
1139	C₂×D₁₃	—	16	2	no	—
1140	C₂×D₁₃	—	16	2	no	—
1141	C₂×D₁₃	—	16	2	no	—
1142	C₂×D₁₃	—	16	2	no	—
1143	C₄×C₁₃	—	2	1	no	—
1144	C₄×C₁₃	—	2	1	no	—
1145	C₄×C₁₃	—	2	1	no	—
1146	C₄×C₁₃	—	2	2	no	—
1147	C₄×C₁₃	—	2	1	no	—
1148	C₄×C₁₃	—	4	1	no	—
1149	C₄×C₁₃	—	4	1	no	—
1150	C₄×C₁₃	—	4	1	no	—
1151	C₄×C₁₃	—	4	1	no	—
1152	C₄×C₁₃	—	4	1	no	—
1153	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1154	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1155	Dic₁₃	—	2	1	no	—
1156	Dic₁₃	—	2	1	no	—
1157	Dic₁₃	—	2	1	no	—
1158	Dic₁₃	—	2	1	no	—
1159	Dic₁₃	—	2	1	no	—
1160	Dic₁₃	—	4	1	no	—
1161	Dic₁₃	—	4	1	no	—
1162	Dic₁₃	—	4	1	no	—
1163	H(5,𝔽₂)	—	52	2	no	—
1164	H(5,𝔽₂)	—	52	2	no	—
1165	C₂×#41	—	13	1	no	—
1166	C₂×#41	—	13	1	no	—
1167	C₂×#41	—	13	1	no	—
1168	C₂×#41	—	13	1	no	—
1169	C₂×#41	—	13	1	no	—
1170	C₂×#41	—	13	1	no	—
1171	C₂×#41	—	13	1	no	—
1172	C₂×#41	—	13	1	no	—
1173	C₂×#41	—	26	1	no	—
1174	C₂×#41	—	26	1	no	—
1175	C₂×#41	—	26	1	no	—
1176	C₂×#41	—	26	1	no	—
1177	C₂×#41	—	52	2	no	—
1178	C₂×#41	—	52	2	no	—
1179	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1180	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1181	C₂²×D₄	—	13	1	no	—
1182	C₂²×D₄	—	13	1	no	—
1183	C₂²×D₄	—	13	1	no	—
1184	C₂²×D₄	—	13	1	no	—
1185	C₂²×D₄	—	13	1	no	—
1186	C₂²×D₄	—	13	1	no	—
1187	C₂²×D₄	—	26	1	no	—
1188	C₂²×D₄	—	26	1	no	—
1189	C₂²×D₄	—	26	1	no	—
1190	C₂²×D₄	—	26	1	no	—
1191	C₂²×D₄	—	26	1	no	—
1192	C₂²×D₄	—	26	1	no	—
1193	C₂²×D₄	—	26	1	no	—
1194	C₂²×D₄	—	26	1	no	—
1195	C₂²×D₄	—	26	1	no	—
1196	C₂³×C₄	—	13	1	no	—
1197	C₂³×C₄	—	26	1	no	—
1198	#137	—	52	2	no	—
1199	AGL(1,ℤ/8)	—	52	2	no	—
1200	AGL(1,ℤ/8)	—	52	2	no	—
1201	AGL(1,ℤ/8)	—	52	2	no	—
1202	AGL(1,ℤ/8)	—	52	2	no	—
1203	AGL(1,ℤ/8)	—	52	2	no	—
1204	#135	—	52	2	no	—
1205	C₂×Q₁₆	—	13	1	no	—
1206	C₂×Q₁₆	—	13	1	no	—
1207	C₂×SD₁₆	—	13	1	no	—
1208	C₂×SD₁₆	—	13	1	no	—
1209	C₂×SD₁₆	—	13	1	no	—
1210	C₂×SD₁₆	—	13	1	no	—
1211	C₂×SD₁₆	—	13	1	no	—
1212	C₂×SD₁₆	—	13	1	no	—
1213	C₂×SD₁₆	—	13	1	no	—
1214	C₂×SD₁₆	—	13	1	no	—
1215	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1216	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1217	C₂×D₈	—	13	1	no	—
1218	C₂×D₈	—	13	1	no	—
1219	C₂×D₈	—	13	1	no	—
1220	C₂×D₈	—	13	1	no	—
1221	C₂×D₈	—	13	1	no	—
1222	C₂×D₈	—	13	1	no	—
1223	C₂×D₈	—	13	1	no	—
1224	C₂×D₈	—	13	1	no	—
1225	C₂×D₈	—	13	1	no	—
1226	C₂×D₈	—	13	1	no	—
1227	C₂×D₈	—	13	1	no	—
1228	C₂×D₈	—	52	2	no	—
1229	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1230	C₂×M₁₆	—	13	1	no	—
1231	C₂×M₁₆	—	13	1	no	—
1232	C₂×M₁₆	—	13	1	no	—
1233	C₂×M₁₆	—	13	1	no	—
1234	C₂×M₁₆	—	13	1	no	—
1235	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1236	C₂²×C₈	—	13	1	no	—
1237	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1238	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1239	#127	—	13	1	no	—
1240	#127	—	13	1	no	—
1241	#127	—	13	1	no	—
1242	#127	—	26	1	no	—
1243	#127	—	26	1	no	—
1244	#127	—	26	1	no	—
1245	#127	—	26	1	no	—
1246	#126	—	26	1	no	—
1247	#126	—	26	1	no	—
1248	#126	—	26	1	no	—
1249	#125	—	13	1	no	—
1250	#125	—	26	1	no	—
1251	#124	—	2	1	no	—
1252	#124	—	2	1	no	—
1253	#124	—	2	1	no	—
1254	#124	—	13	1	no	—
1255	#124	—	13	1	no	—
1256	#124	—	26	1	no	—
1257	#124	—	26	1	no	—
1258	#124	—	26	1	no	—
1259	#124	C₂²×D₁₃	1	1	yes	characteristic
1260	#123	—	13	1	no	—
1261	#123	—	13	1	no	—
1262	#123	—	26	1	no	—
1263	#123	—	26	1	no	—
1264	#123	—	26	1	no	—
1265	#123	—	26	1	no	—
1266	#123	—	26	1	no	—
1267	#123	—	26	1	no	—
1268	#123	—	26	1	no	—
1269	#123	—	26	1	no	—
1270	#123	—	26	1	no	—
1271	#123	—	26	1	no	—
1272	#123	—	26	1	no	—
1273	#123	—	26	1	no	—
1274	C₂²⋊Q₈	—	2	1	no	—
1275	C₂²⋊Q₈	—	13	1	no	—
1276	C₂²⋊Q₈	—	13	1	no	—
1277	C₂²⋊Q₈	—	13	1	no	—
1278	C₂²⋊Q₈	—	13	1	no	—
1279	C₂²⋊Q₈	—	13	1	no	—
1280	C₂²⋊Q₈	—	13	1	no	—
1281	C₂²⋊Q₈	—	26	1	no	—
1282	C₂²⋊Q₈	—	26	1	no	—
1283	C₂²⋊Q₈	—	26	1	no	—
1284	C₂²⋊Q₈	—	26	1	no	—
1285	C₂²⋊Q₈	—	26	1	no	—
1286	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1287	#121	—	2	1	no	—
1288	#121	—	2	1	no	—
1289	#121	—	13	1	no	—
1290	#121	—	13	1	no	—
1291	#121	—	13	1	no	—
1292	#121	—	13	1	no	—
1293	#121	—	13	1	no	—
1294	#121	—	13	1	no	—
1295	#121	—	13	1	no	—
1296	#121	—	13	1	no	—
1297	#121	—	13	1	no	—
1298	#121	—	13	1	no	—
1299	#121	—	13	1	no	—
1300	#121	—	13	1	no	—
1301	#121	—	13	1	no	—
1302	#121	—	13	1	no	—
1303	#121	—	26	1	no	—
1304	#121	—	26	1	no	—
1305	#121	—	26	1	no	—
1306	#121	—	26	1	no	—
1307	#121	—	26	1	no	—
1308	#121	—	26	1	no	—
1309	#121	—	26	1	no	—
1310	#121	—	26	1	no	—
1311	#121	—	26	1	no	—
1312	#121	—	26	1	no	—
1313	#121	—	26	1	no	—
1314	#121	—	26	1	no	—
1315	#121	—	26	1	no	—
1316	#121	—	26	1	no	—
1317	#121	—	26	1	no	—
1318	#121	—	26	1	no	—
1319	#121	—	26	1	no	—
1320	#121	—	26	1	no	—
1321	#121	—	26	1	no	—
1322	#121	—	26	1	no	—
1323	#121	—	26	1	no	—
1324	#121	—	26	1	no	—
1325	#121	—	26	1	no	—
1326	#121	—	26	1	no	—
1327	#121	—	26	1	no	—
1328	#121	—	26	1	no	—
1329	#121	—	26	1	no	—
1330	#121	—	26	1	no	—
1331	#121	—	26	1	no	—
1332	#121	C₂²×D₁₃	1	1	yes	characteristic
1333	#121	C₂²×D₁₃	1	1	yes	characteristic
1334	#121	C₂²×D₁₃	1	1	yes	characteristic
1335	#120	—	13	1	no	—
1336	#120	—	13	1	no	—
1337	#120	—	26	1	no	—
1338	#120	—	26	1	no	—
1339	#120	—	26	1	no	—
1340	#120	—	26	1	no	—
1341	#120	—	26	1	no	—
1342	#120	—	26	1	no	—
1343	#120	—	26	1	no	—
1344	#120	—	26	1	no	—
1345	#120	—	26	1	no	—
1346	#120	—	26	1	no	—
1347	#120	—	26	1	no	—
1348	#120	—	26	1	no	—
1349	#120	—	26	1	no	—
1350	#120	—	26	1	no	—
1351	#120	—	26	1	no	—
1352	C₄×Q₈	—	13	1	no	—
1353	C₄×Q₈	—	13	1	no	—
1354	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1355	C₄×D₄	—	2	1	no	—
1356	C₄×D₄	—	13	1	no	—
1357	C₄×D₄	—	13	1	no	—
1358	C₄×D₄	—	13	1	no	—
1359	C₄×D₄	—	13	1	no	—
1360	C₄×D₄	—	13	1	no	—
1361	C₄×D₄	—	13	1	no	—
1362	C₄×D₄	—	13	1	no	—
1363	C₄×D₄	—	26	1	no	—
1364	C₄×D₄	—	26	1	no	—
1365	C₄×D₄	—	26	1	no	—
1366	C₄×D₄	—	26	1	no	—
1367	C₄×D₄	—	26	1	no	—
1368	C₄×D₄	—	26	1	no	—
1369	C₄×D₄	—	26	1	no	—
1370	C₄×D₄	—	26	1	no	—
1371	C₄×D₄	—	26	1	no	—
1372	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1373	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1374	#117	—	2	1	no	—
1375	#117	—	13	1	no	—
1376	#117	—	26	1	no	—
1377	#117	—	26	1	no	—
1378	#117	C₂²×D₁₃	1	1	yes	characteristic
1379	#117	C₂²×D₁₃	1	1	yes	characteristic
1380	C₂×C₄⋊C₄	—	13	1	no	—
1381	C₂×C₄⋊C₄	—	13	1	no	—
1382	C₂×C₄⋊C₄	—	13	1	no	—
1383	C₂×C₄⋊C₄	—	26	1	no	—
1384	C₂×C₂²⋊C₄	—	26	1	no	—
1385	C₂×C₂²⋊C₄	—	26	1	no	—
1386	C₂×C₂²⋊C₄	—	26	1	no	—
1387	C₂×C₂²⋊C₄	—	26	1	no	—
1388	C₂×C₂²⋊C₄	—	26	1	no	—
1389	C₂×C₂²⋊C₄	—	26	1	no	—
1390	#107	—	13	1	no	—
1391	#107	C₂²×D₁₃	1	1	yes	characteristic
1392	#106	—	13	1	no	—
1393	#106	—	13	1	no	—
1394	#106	—	13	1	no	—
1395	#106	—	13	1	no	—
1396	#106	C₂²×D₁₃	1	1	yes	characteristic
1397	#106	C₂²×D₁₃	1	1	yes	characteristic
1398	C₄⋊C₈	—	13	1	no	—
1399	C₄⋊C₈	—	13	1	no	—
1400	C₄⋊C₈	—	13	1	no	—
1401	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1402	#103	—	13	1	no	—
1403	#103	—	13	1	no	—
1404	#103	—	13	1	no	—
1405	#103	—	13	1	no	—
1406	#103	C₂²×D₁₃	1	1	yes	characteristic
1407	#103	C₂²×D₁₃	1	1	yes	characteristic
1408	#103	C₂²×D₁₃	1	1	yes	characteristic
1409	#103	C₂²×D₁₃	1	1	yes	characteristic
1410	#103	C₂²×D₁₃	1	1	yes	characteristic
1411	#103	C₂²×D₁₃	1	1	yes	characteristic
1412	#102	—	13	1	no	—
1413	#102	—	13	1	no	—
1414	#102	—	13	1	no	—
1415	#102	—	13	1	no	—
1416	#102	—	13	1	no	—
1417	#102	—	13	1	no	—
1418	#102	—	13	1	no	—
1419	#102	—	13	1	no	—
1420	#102	—	13	1	no	—
1421	#102	—	13	1	no	—
1422	#102	—	13	1	no	—
1423	#102	—	13	1	no	—
1424	#102	—	13	1	no	—
1425	#102	—	13	1	no	—
1426	#102	—	13	1	no	—
1427	#102	—	13	1	no	—
1428	#102	—	13	1	no	—
1429	#102	—	13	1	no	—
1430	#102	C₂²×D₁₃	1	1	yes	characteristic
1431	#102	C₂²×D₁₃	1	1	yes	characteristic
1432	#102	C₂²×D₁₃	1	1	yes	characteristic
1433	#102	C₂²×D₁₃	1	1	yes	characteristic
1434	C₂²⋊C₈	—	13	1	no	—
1435	C₂²⋊C₈	—	13	1	no	—
1436	C₂²⋊C₈	—	13	1	no	—
1437	C₂²⋊C₈	—	13	1	no	—
1438	C₂²⋊C₈	—	13	1	no	—
1439	C₂²⋊C₈	—	13	1	no	—
1440	C₂²⋊C₈	—	13	1	no	—
1441	C₂²⋊C₈	—	13	1	no	—
1442	C₂²⋊C₈	—	13	1	no	—
1443	C₂²⋊C₈	—	13	1	no	—
1444	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1445	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1446	#97	—	13	1	no	—
1447	#97	C₂²×D₁₃	1	1	yes	characteristic
1448	C₄×C₈	—	13	1	no	—
1449	C₄×C₈	—	13	1	no	—
1450	C₂×C₁₃	—	4	1	no	—
1451	C₂×C₁₃	—	4	1	no	—
1452	C₂×C₁₃	—	8	1	no	—
1453	C₂×C₁₃	—	8	1	no	—
1454	C₂×C₁₃	#3484	1	1	yes	characteristic
1455	C₂×C₁₃	#3585	1	1	yes	characteristic
1456	C₂×C₁₃	#3585	1	1	yes	characteristic
1457	D₁₃	—	4	1	no	—
1458	D₁₃	—	4	1	no	—
1459	D₁₃	—	4	1	no	—
1460	D₁₃	—	4	2	no	—
1461	D₁₃	—	8	1	no	—
1462	D₁₃	—	8	1	no	—
1463	D₁₃	—	8	1	no	—
1464	D₁₃	—	8	1	no	—
1465	C₂⁴	—	13	1	no	—
1466	C₂⁴	—	26	1	no	—
1467	C₂⁴	—	26	1	no	—
1468	C₂⁴	—	26	1	no	—
1469	C₂⁴	—	26	1	no	—
1470	C₂⁴	—	26	1	no	—
1471	C₂⁴	—	26	1	no	—
1472	#41	—	2	2	no	—
1473	#41	—	4	1	no	—
1474	#41	—	26	2	no	—
1475	#41	—	26	2	no	—
1476	#41	—	26	2	no	—
1477	#41	—	26	2	no	—
1478	#41	—	26	2	no	—
1479	#41	—	52	1	no	—
1480	#41	—	52	1	no	—
1481	#41	—	52	1	no	—
1482	#41	—	52	1	no	—
1483	#41	—	52	4	no	—
1484	#41	—	52	1	no	—
1485	#41	—	52	1	no	—
1486	#41	—	52	1	no	—
1487	#41	—	52	1	no	—
1488	#41	—	52	1	no	—
1489	#41	—	52	4	no	—
1490	#41	—	52	1	no	—
1491	#41	—	52	1	no	—
1492	#41	—	52	4	no	—
1493	#41	—	104	2	no	—
1494	C₂×Q₈	—	2	1	no	—
1495	C₂×Q₈	—	2	1	no	—
1496	C₂×Q₈	—	2	2	no	—
1497	C₂×Q₈	—	4	1	no	—
1498	C₂×Q₈	—	13	1	no	—
1499	C₂×Q₈	—	13	1	no	—
1500	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1501	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	2	1	no	—
1506	C₂×D₄	—	13	1	no	—
1507	C₂×D₄	—	13	1	no	—
1508	C₂×D₄	—	13	1	no	—
1509	C₂×D₄	—	13	1	no	—
1510	C₂×D₄	—	13	1	no	—
1511	C₂×D₄	—	13	1	no	—
1512	C₂×D₄	—	13	1	no	—
1513	C₂×D₄	—	13	1	no	—
1514	C₂×D₄	—	13	1	no	—
1515	C₂×D₄	—	13	1	no	—
1516	C₂×D₄	—	13	1	no	—
1517	C₂×D₄	—	26	2	no	—
1518	C₂×D₄	—	26	2	no	—
1519	C₂×D₄	—	26	1	no	—
1520	C₂×D₄	—	26	1	no	—
1521	C₂×D₄	—	26	1	no	—
1522	C₂×D₄	—	26	1	no	—
1523	C₂×D₄	—	26	1	no	—
1524	C₂×D₄	—	26	1	no	—
1525	C₂×D₄	—	26	1	no	—
1526	C₂×D₄	—	26	1	no	—
1527	C₂×D₄	—	26	1	no	—
1528	C₂×D₄	—	26	1	no	—
1529	C₂×D₄	—	26	1	no	—
1530	C₂×D₄	—	26	1	no	—
1531	C₂×D₄	—	26	1	no	—
1532	C₂×D₄	—	26	1	no	—
1533	C₂×D₄	—	26	1	no	—
1534	C₂×D₄	—	26	1	no	—
1535	C₂×D₄	—	26	1	no	—
1536	C₂×D₄	—	26	1	no	—
1537	C₂×D₄	—	26	1	no	—
1538	C₂×D₄	—	26	2	no	—
1539	C₂×D₄	—	26	1	no	—
1540	C₂×D₄	—	26	1	no	—
1541	C₂×D₄	—	26	1	no	—
1542	C₂×D₄	—	26	1	no	—
1543	C₂×D₄	—	26	1	no	—
1544	C₂×D₄	—	26	1	no	—
1545	C₂×D₄	—	26	1	no	—
1546	C₂×D₄	—	26	1	no	—
1547	C₂×D₄	—	26	1	no	—
1548	C₂×D₄	—	26	1	no	—
1549	C₂×D₄	—	26	1	no	—
1550	C₂×D₄	—	26	1	no	—
1551	C₂×D₄	—	52	1	no	—
1552	C₂×D₄	—	52	1	no	—
1553	C₂×D₄	—	52	1	no	—
1554	C₂×D₄	—	52	1	no	—
1555	C₂×D₄	—	52	4	no	—
1556	C₂×D₄	—	52	4	no	—
1557	C₂×D₄	—	52	1	no	—
1558	C₂×D₄	—	52	1	no	—
1559	C₂×D₄	—	52	1	no	—
1560	C₂×D₄	—	52	1	no	—
1561	C₂×D₄	—	52	1	no	—
1562	C₂×D₄	—	52	4	no	—
1563	C₂×D₄	—	52	4	no	—
1564	C₂×D₄	—	104	2	no	—
1565	C₂×D₄	—	104	2	no	—
1566	C₂×D₄	—	104	2	no	—
1567	C₂×D₄	—	104	2	no	—
1568	C₂×D₄	—	104	2	no	—
1569	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1570	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1571	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1572	C₂²×C₄	—	2	1	no	—
1573	C₂²×C₄	—	2	1	no	—
1574	C₂²×C₄	—	2	1	no	—
1575	C₂²×C₄	—	13	1	no	—
1576	C₂²×C₄	—	13	1	no	—
1577	C₂²×C₄	—	13	1	no	—
1578	C₂²×C₄	—	13	1	no	—
1579	C₂²×C₄	—	13	1	no	—
1580	C₂²×C₄	—	13	1	no	—
1581	C₂²×C₄	—	26	1	no	—
1582	C₂²×C₄	—	26	1	no	—
1583	C₂²×C₄	—	26	1	no	—
1584	C₂²×C₄	—	26	1	no	—
1585	C₂²×C₄	—	26	1	no	—
1586	C₂²×C₄	—	26	1	no	—
1587	C₂²×C₄	—	26	1	no	—
1588	C₂²×C₄	—	26	1	no	—
1589	C₂²×C₄	—	26	1	no	—
1590	C₂²×C₄	—	26	1	no	—
1591	C₂²×C₄	—	26	1	no	—
1592	C₂²×C₄	—	26	1	no	—
1593	C₂²×C₄	—	26	1	no	—
1594	C₂²×C₄	—	26	1	no	—
1595	C₂²×C₄	—	52	1	no	—
1596	C₂²×C₄	—	52	1	no	—
1597	C₂²×C₄	—	52	4	no	—
1598	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1599	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1600	Q₁₆	—	26	2	no	—
1601	Q₁₆	—	52	1	no	—
1602	SD₁₆	—	2	2	no	—
1603	SD₁₆	—	4	1	no	—
1604	SD₁₆	—	26	2	no	—
1605	SD₁₆	—	26	2	no	—
1606	SD₁₆	—	26	2	no	—
1607	SD₁₆	—	52	1	no	—
1608	SD₁₆	—	52	1	no	—
1609	SD₁₆	—	52	1	no	—
1610	SD₁₆	—	52	1	no	—
1611	SD₁₆	—	52	1	no	—
1612	D₈	—	4	1	no	—
1613	D₈	—	26	2	no	—
1614	D₈	—	26	2	no	—
1615	D₈	—	26	2	no	—
1616	D₈	—	52	1	no	—
1617	D₈	—	52	1	no	—
1618	D₈	—	52	1	no	—
1619	D₈	—	52	1	no	—
1620	D₈	—	52	1	no	—
1621	D₈	—	52	1	no	—
1622	D₈	—	52	1	no	—
1623	D₈	—	52	1	no	—
1624	M₁₆	—	4	1	no	—
1625	M₁₆	—	52	1	no	—
1626	M₁₆	—	52	1	no	—
1627	M₁₆	—	52	1	no	—
1628	M₁₆	—	52	1	no	—
1629	M₁₆	—	52	1	no	—
1630	C₂×C₈	—	4	1	no	—
1631	C₂×C₈	—	13	1	no	—
1632	C₂×C₈	—	13	1	no	—
1633	C₂×C₈	—	13	1	no	—
1634	C₂×C₈	—	13	1	no	—
1635	C₂×C₈	—	52	1	no	—
1636	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1637	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1638	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1639	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1640	C₄⋊C₄	—	2	1	no	—
1641	C₄⋊C₄	—	2	1	no	—
1642	C₄⋊C₄	—	2	1	no	—
1643	C₄⋊C₄	—	13	1	no	—
1644	C₄⋊C₄	—	13	1	no	—
1645	C₄⋊C₄	—	13	1	no	—
1646	C₄⋊C₄	—	13	1	no	—
1647	C₄⋊C₄	—	13	1	no	—
1648	C₄⋊C₄	—	13	1	no	—
1649	C₄⋊C₄	—	13	1	no	—
1650	C₄⋊C₄	—	26	1	no	—
1651	C₄⋊C₄	—	26	1	no	—
1652	C₄⋊C₄	—	26	1	no	—
1653	C₄⋊C₄	—	26	1	no	—
1654	C₄⋊C₄	—	26	1	no	—
1655	C₄⋊C₄	—	26	1	no	—
1656	C₄⋊C₄	—	26	1	no	—
1657	C₄⋊C₄	—	26	1	no	—
1658	C₄⋊C₄	—	26	1	no	—
1659	C₄⋊C₄	—	26	1	no	—
1660	C₄⋊C₄	—	26	1	no	—
1661	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1662	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1663	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1664	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1665	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1666	C₂²⋊C₄	—	2	1	no	—
1667	C₂²⋊C₄	—	2	1	no	—
1668	C₂²⋊C₄	—	2	1	no	—
1669	C₂²⋊C₄	—	2	1	no	—
1670	C₂²⋊C₄	—	2	1	no	—
1671	C₂²⋊C₄	—	2	1	no	—
1672	C₂²⋊C₄	—	2	1	no	—
1673	C₂²⋊C₄	—	2	1	no	—
1674	C₂²⋊C₄	—	2	1	no	—
1675	C₂²⋊C₄	—	13	1	no	—
1676	C₂²⋊C₄	—	13	1	no	—
1677	C₂²⋊C₄	—	13	1	no	—
1678	C₂²⋊C₄	—	13	1	no	—
1679	C₂²⋊C₄	—	13	1	no	—
1680	C₂²⋊C₄	—	13	1	no	—
1681	C₂²⋊C₄	—	13	1	no	—
1682	C₂²⋊C₄	—	13	1	no	—
1683	C₂²⋊C₄	—	26	1	no	—
1684	C₂²⋊C₄	—	26	1	no	—
1685	C₂²⋊C₄	—	26	1	no	—
1686	C₂²⋊C₄	—	26	1	no	—
1687	C₂²⋊C₄	—	26	1	no	—
1688	C₂²⋊C₄	—	26	1	no	—
1689	C₂²⋊C₄	—	26	1	no	—
1690	C₂²⋊C₄	—	26	1	no	—
1691	C₂²⋊C₄	—	26	1	no	—
1692	C₂²⋊C₄	—	26	1	no	—
1693	C₂²⋊C₄	—	26	1	no	—
1694	C₂²⋊C₄	—	26	1	no	—
1695	C₂²⋊C₄	—	26	1	no	—
1696	C₂²⋊C₄	—	26	1	no	—
1697	C₂²⋊C₄	—	26	1	no	—
1698	C₂²⋊C₄	—	26	1	no	—
1699	C₂²⋊C₄	—	26	1	no	—
1700	C₂²⋊C₄	—	26	1	no	—
1701	C₂²⋊C₄	—	26	1	no	—
1702	C₂²⋊C₄	—	26	1	no	—
1703	C₂²⋊C₄	—	26	1	no	—
1704	C₂²⋊C₄	—	26	1	no	—
1705	C₂²⋊C₄	—	26	1	no	—
1706	C₂²⋊C₄	—	26	1	no	—
1707	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1708	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1709	C₄²	—	2	1	no	—
1710	C₄²	—	2	1	no	—
1711	C₄²	—	2	1	no	—
1712	C₄²	—	13	1	no	—
1713	C₄²	—	26	1	no	—
1714	C₄²	—	26	1	no	—
1715	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1716	C₁₃	#61653	1	1	yes	characteristic, complemented, Sylow
1717	C₂³	—	2	1	no	—
1718	C₂³	—	2	1	no	—
1719	C₂³	—	13	1	no	—
1720	C₂³	—	13	1	no	—
1721	C₂³	—	13	1	no	—
1722	C₂³	—	26	1	no	—
1723	C₂³	—	26	1	no	—
1724	C₂³	—	26	1	no	—
1725	C₂³	—	26	1	no	—
1726	C₂³	—	26	1	no	—
1727	C₂³	—	52	1	no	—
1728	C₂³	—	52	1	no	—
1729	C₂³	—	52	1	no	—
1730	C₂³	—	52	2	no	—
1731	C₂³	—	52	2	no	—
1732	C₂³	—	52	2	no	—
1733	C₂³	—	52	2	no	—
1734	C₂³	—	52	2	no	—
1735	C₂³	—	52	2	no	—
1736	C₂³	—	104	1	no	—
1737	C₂³	—	104	1	no	—
1738	C₂³	—	104	1	no	—
1739	C₂³	—	104	1	no	—
1740	C₂³	—	104	1	no	—
1741	C₂³	—	104	1	no	—
1742	C₂³	—	104	1	no	—
1743	C₂³	—	104	1	no	—
1744	C₂³	—	104	1	no	—
1745	C₂³	—	104	1	no	—
1746	C₂³	—	104	1	no	—
1747	C₂³	—	104	1	no	—
1748	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1749	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1750	Q₈	—	2	1	no	—
1751	Q₈	—	2	1	no	—
1752	Q₈	—	2	1	no	—
1753	Q₈	—	4	2	no	—
1754	Q₈	—	8	1	no	—
1755	Q₈	—	26	1	no	—
1756	Q₈	—	26	1	no	—
1757	Q₈	—	52	1	no	—
1758	Q₈	#88256	1	2	yes	—
1759	D₄	—	2	1	no	—
1760	D₄	—	2	1	no	—
1761	D₄	—	2	1	no	—
1762	D₄	—	2	1	no	—
1763	D₄	—	4	1	no	—
1764	D₄	—	4	2	no	—
1765	D₄	—	4	2	no	—
1766	D₄	—	8	1	no	—
1767	D₄	—	8	1	no	—
1768	D₄	—	13	2	no	—
1769	D₄	—	26	4	no	—
1770	D₄	—	26	1	no	—
1771	D₄	—	26	1	no	—
1772	D₄	—	26	1	no	—
1773	D₄	—	26	1	no	—
1774	D₄	—	26	1	no	—
1775	D₄	—	26	1	no	—
1776	D₄	—	26	1	no	—
1777	D₄	—	26	1	no	—
1778	D₄	—	26	1	no	—
1779	D₄	—	52	1	no	—
1780	D₄	—	52	1	no	—
1781	D₄	—	52	2	no	—
1782	D₄	—	52	2	no	—
1783	D₄	—	52	2	no	—
1784	D₄	—	52	2	no	—
1785	D₄	—	52	2	no	—
1786	D₄	—	52	2	no	—
1787	D₄	—	52	2	no	—
1788	D₄	—	52	1	no	—
1789	D₄	—	52	1	no	—
1790	D₄	—	52	1	no	—
1791	D₄	—	52	1	no	—
1792	D₄	—	52	2	no	—
1793	D₄	—	52	2	no	—
1794	D₄	—	52	2	no	—
1795	D₄	—	104	1	no	—
1796	D₄	—	104	1	no	—
1797	D₄	—	104	1	no	—
1798	D₄	—	104	1	no	—
1799	D₄	—	104	1	no	—
1800	D₄	—	104	1	no	—
1801	D₄	—	104	1	no	—
1802	D₄	—	104	1	no	—
1803	D₄	—	104	1	no	—
1804	D₄	—	104	1	no	—
1805	D₄	—	104	1	no	—
1806	D₄	—	104	1	no	—
1807	D₄	—	104	1	no	—
1808	D₄	—	104	1	no	—
1809	D₄	—	104	1	no	—
1810	D₄	—	104	1	no	—
1811	D₄	—	104	1	no	—
1812	D₄	—	104	1	no	—
1813	D₄	—	104	1	no	—
1814	D₄	—	104	1	no	—
1815	C₂×C₄	—	2	1	no	—
1816	C₂×C₄	—	2	1	no	—
1817	C₂×C₄	—	2	1	no	—
1818	C₂×C₄	—	2	1	no	—
1819	C₂×C₄	—	2	1	no	—
1820	C₂×C₄	—	2	1	no	—
1821	C₂×C₄	—	2	1	no	—
1822	C₂×C₄	—	2	1	no	—
1823	C₂×C₄	—	2	1	no	—
1824	C₂×C₄	—	2	1	no	—
1825	C₂×C₄	—	4	2	no	—
1826	C₂×C₄	—	4	2	no	—
1827	C₂×C₄	—	8	1	no	—
1828	C₂×C₄	—	13	1	no	—
1829	C₂×C₄	—	13	1	no	—
1830	C₂×C₄	—	13	1	no	—
1831	C₂×C₄	—	13	1	no	—
1832	C₂×C₄	—	13	1	no	—
1833	C₂×C₄	—	26	4	no	—
1834	C₂×C₄	—	26	1	no	—
1835	C₂×C₄	—	26	1	no	—
1836	C₂×C₄	—	26	1	no	—
1837	C₂×C₄	—	26	1	no	—
1838	C₂×C₄	—	26	1	no	—
1839	C₂×C₄	—	26	1	no	—
1840	C₂×C₄	—	26	1	no	—
1841	C₂×C₄	—	26	1	no	—
1842	C₂×C₄	—	26	1	no	—
1843	C₂×C₄	—	52	1	no	—
1844	C₂×C₄	—	52	1	no	—
1845	C₂×C₄	—	52	2	no	—
1846	C₂×C₄	—	52	2	no	—
1847	C₂×C₄	—	52	2	no	—
1848	C₂×C₄	—	52	2	no	—
1849	C₂×C₄	—	52	2	no	—
1850	C₂×C₄	—	52	1	no	—
1851	C₂×C₄	—	104	1	no	—
1852	C₂×C₄	—	104	1	no	—
1853	C₂×C₄	—	104	1	no	—
1854	C₂×C₄	—	104	1	no	—
1855	C₂×C₄	—	104	1	no	—
1856	C₂×C₄	—	104	1	no	—
1857	C₂×C₄	—	104	1	no	—
1858	C₂×C₄	—	104	1	no	—
1859	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1860	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1861	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1862	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1863	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1864	C₈	—	2	1	no	—
1865	C₈	—	2	1	no	—
1866	C₈	—	2	1	no	—
1867	C₈	—	2	1	no	—
1868	C₈	—	26	1	no	—
1869	C₈	—	26	1	no	—
1870	C₈	—	26	1	no	—
1871	C₈	—	26	1	no	—
1872	C₂²	—	2	1	no	—
1873	C₂²	—	2	1	no	—
1874	C₂²	—	2	1	no	—
1875	C₂²	—	2	1	no	—
1876	C₂²	—	2	1	no	—
1877	C₂²	—	2	1	no	—
1878	C₂²	—	4	1	no	—
1879	C₂²	—	4	1	no	—
1880	C₂²	—	4	1	no	—
1881	C₂²	—	4	1	no	—
1882	C₂²	—	4	1	no	—
1883	C₂²	—	4	1	no	—
1884	C₂²	—	26	2	no	—
1885	C₂²	—	26	1	no	—
1886	C₂²	—	26	1	no	—
1887	C₂²	—	26	1	no	—
1888	C₂²	—	26	1	no	—
1889	C₂²	—	26	1	no	—
1890	C₂²	—	26	1	no	—
1891	C₂²	—	26	1	no	—
1892	C₂²	—	26	1	no	—
1893	C₂²	—	26	1	no	—
1894	C₂²	—	52	1	no	—
1895	C₂²	—	52	1	no	—
1896	C₂²	—	52	1	no	—
1897	C₂²	—	52	1	no	—
1898	C₂²	—	52	1	no	—
1899	C₂²	—	52	1	no	—
1900	C₂²	—	52	1	no	—
1901	C₂²	—	52	1	no	—
1902	C₂²	—	52	1	no	—
1903	C₂²	—	52	1	no	—
1904	C₂²	—	52	1	no	—
1905	C₂²	—	52	1	no	—
1906	C₂²	—	52	1	no	—
1907	C₂²	—	52	1	no	—
1908	C₂²	—	104	2	no	—
1909	C₂²	—	104	4	no	—
1910	C₂²	—	208	2	no	—
1911	C₂²	—	208	2	no	—
1912	C₂²	—	208	2	no	—
1913	C₂²	—	208	2	no	—
1914	C₂²	—	208	2	no	—
1915	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1916	C₄	—	2	1	no	—
1917	C₄	—	2	1	no	—
1918	C₄	—	2	2	no	—
1919	C₄	—	2	1	no	—
1920	C₄	—	2	1	no	—
1921	C₄	—	4	1	no	—
1922	C₄	—	4	1	no	—
1923	C₄	—	4	1	no	—
1924	C₄	—	4	1	no	—
1925	C₄	—	4	1	no	—
1926	C₄	—	26	1	no	—
1927	C₄	—	26	1	no	—
1928	C₄	—	26	1	no	—
1929	C₄	—	26	1	no	—
1930	C₄	—	26	1	no	—
1931	C₄	—	52	1	no	—
1932	C₄	—	52	1	no	—
1933	C₄	—	52	1	no	—
1934	C₄	C₂×#88256	1	1	yes	characteristic
1935	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1936	C₂	—	4	1	no	—
1937	C₂	—	4	1	no	—
1938	C₂	—	8	1	no	—
1939	C₂	—	8	1	no	—
1940	C₂	—	52	1	no	—
1941	C₂	—	52	1	no	—
1942	C₂	—	52	1	no	—
1943	C₂	—	52	2	no	—
1944	C₂	—	104	1	no	—
1945	C₂	—	104	1	no	—
1946	C₂	—	104	1	no	—
1947	C₂	—	104	1	no	—
1948	C₂	#13128466	1	1	yes	characteristic
1949	C₂	#13129613	1	1	yes	characteristic
1950	C₂	#13129614	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3321	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3321	D₁₃
hypocenter	C₁₃	#61653
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3321

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #13129159	C₂	semidirect
2. #13128502	C₂	semidirect
3. #13127160	C₂	semidirect
4. #13127085	C₂	semidirect
5. #13127072	C₂	semidirect
6. #13127050	C₂	semidirect
7. #13126980	C₂	semidirect
8. #13126958	C₂	semidirect
9. #13126796	C₂	semidirect
10. #13126468	C₂	semidirect
11. #13126453	C₂	semidirect
12. #13126449	C₂	semidirect
13. #13126442	C₂	semidirect
14. #13126424	C₂	semidirect
15. #13126378	C₂	semidirect
16. #13126321	C₂	semidirect
17. #13126313	C₂	semidirect
18. #13125931	C₂	semidirect
19. #13125883	C₂	semidirect
20. #13125741	C₂	semidirect
21. #13125694	C₂	semidirect
22. #13125654	C₂	semidirect
23. #13125632	C₂	semidirect
24. #13125120	C₂	semidirect
25. #13125033	C₂	semidirect
26. #13124138	C₂	semidirect
27. #13124107	C₂	semidirect
28. #13124087	C₂	semidirect
29. #13124082	C₂	semidirect
30. #13123895	C₂	semidirect
31. C₁₃×#3321	C₂	semidirect
32. C₂×#88256	C₂²	semidirect
33. C₂²×#6131	C₂²	semidirect
34. C₁₃×#555	C₂²	semidirect
35. C₁₃×#548	C₂²	semidirect
37. C₂×#88203	C₂²	semidirect
38. #11719522	C₂²	semidirect
39. C₂×#88196	C₂²	semidirect
40. C₂×#88170	C₂²	semidirect
41. C₂×#88168	C₂²	semidirect
42. C₂×#88168	C₂²	semidirect
43. C₂×#88165	C₂²	semidirect
44. C₂×#88162	C₂²	semidirect
45. C₂²×D₁₀₄	C₂²	semidirect
46. #11719438	C₂²	semidirect
47. #11719431	C₂²	semidirect
52. #11719381	C₂²	semidirect
55. #11719379	C₂²	semidirect
59. #11719334	C₂²	semidirect
62. #11719314	C₂²	semidirect
63. #11719314	C₂²	semidirect
64. #11719313	C₂²	semidirect
67. D₁₃×#121	C₂²	semidirect
68. D₁₃×#121	C₂²	semidirect
69. #11719304	C₂²	semidirect
70. #11719282	C₂²	semidirect
71. #11719279	C₂²	semidirect
72. #11719267	C₂²	semidirect
73. #11719259	C₂²	semidirect
74. #11719255	C₂²	semidirect
76. D₄×D₅₂	C₂²	semidirect
80. #11719235	C₂²	semidirect
81. #11719234	C₂²	semidirect
83. #11719230	C₂²	semidirect
84. #11719229	C₂²	semidirect
85. C₁₃×#489	C₂²	semidirect
86. C₁₃×#485	C₂²	semidirect
87. C₁₃×#482	C₂²	semidirect
88. C₁₃×#475	C₂²	semidirect
89. C₁₃×#469	C₂²	semidirect
90. C₁₃×#465	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#449	C₂²	semidirect
93. C₁₃×#448	C₂²	semidirect
94. C₁₃×#440	C₂²	semidirect
95. C₁₃×#435	C₂²	semidirect
96. C₁₃×#419	C₂²	semidirect
97. C₁₃×#416	C₂²	semidirect
98. #11718900	C₂²	semidirect
99. #11718888	C₂²	semidirect
100. #11718837	C₂²	semidirect
101. #11718834	C₂²	semidirect
102. #11718833	C₂²	semidirect
103. #11718833	C₂²	semidirect
104. #11718824	C₂²	semidirect
105. #11718817	C₂²	semidirect
106. #11718817	C₂²	semidirect
107. #11718812	C₂²	semidirect
108. #11718796	C₂²	semidirect
109. #11718789	C₂²	semidirect
110. #11718787	C₂²	semidirect
111. #11718775	C₂²	semidirect
112. #11718772	C₂²	semidirect
113. #11718771	C₂²	semidirect
114. #11718749	C₂²	semidirect
115. #11718745	C₂²	semidirect
116. #11718720	C₂²	semidirect
117. #11718718	C₂²	semidirect
118. #11718713	C₂²	semidirect
119. #11718707	C₂²	semidirect
120. #11718700	C₂²	semidirect
121. #11718700	C₂²	semidirect
122. #11718700	C₂²	semidirect
123. #11718698	C₂²	semidirect
124. #11718697	C₂²	semidirect
125. #11718697	C₂²	semidirect
126. #11718689	C₂²	semidirect
127. C₄×#6106	C₂²	semidirect
128. #11718676	C₂²	semidirect
129. C₄×#6104	C₂²	semidirect
130. #11718673	C₂²	semidirect
131. #11718664	C₂²	semidirect
132. #11718664	C₂²	semidirect
133. #11718662	C₂²	semidirect
134. #11718662	C₂²	semidirect
135. #11718552	C₂²	semidirect
136. #11718547	C₂²	semidirect
137. #11718544	C₂²	semidirect
138. #11718543	C₂²	semidirect
139. #11718530	C₂²	semidirect
140. #11718526	C₂²	semidirect
141. #11718526	C₂²	semidirect
142. #11718524	C₂²	semidirect
143. #11718524	C₂²	semidirect
144. #11718524	C₂²	semidirect
145. #11718523	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718505	C₂²	semidirect
148. #11718504	C₂²	semidirect
149. #11718501	C₂²	semidirect
150. #11718499	C₂²	semidirect
151. #11718480	C₂²	semidirect
152. #11718473	C₂²	semidirect
154. #11718472	C₂²	semidirect
155. #11718472	C₂²	semidirect
156. #11718472	C₂²	semidirect
157. #11718472	C₂²	semidirect
158. #11718472	C₂²	semidirect
159. #11718472	C₂²	semidirect
160. #11718472	C₂²	semidirect
161. #11718471	C₂²	semidirect
162. #11718471	C₂²	semidirect
163. #11718471	C₂²	semidirect
164. #11718471	C₂²	semidirect
165. #11718468	C₂²	semidirect
166. #11718466	C₂²	semidirect
167. #11718464	C₂²	semidirect
168. #11718464	C₂²	semidirect
169. #11718464	C₂²	semidirect
170. #11718461	C₂²	semidirect
171. #11718460	C₂²	semidirect
172. #11718459	C₂²	semidirect
173. #11718450	C₂²	semidirect
174. #11718449	C₂²	semidirect
175. #11718447	C₂²	semidirect
176. #11718447	C₂²	semidirect
177. #11718443	C₂²	semidirect
178. #11718442	C₂²	semidirect
179. #11718441	C₂²	semidirect
180. #11718438	C₂²	semidirect
181. #11718438	C₂²	semidirect
182. #11718437	C₂²	semidirect
183. #11718434	C₂²	semidirect
184. #11718434	C₂²	semidirect
185. #11718434	C₂²	semidirect
186. #11718434	C₂²	semidirect
187. #11718434	C₂²	semidirect
188. D₁₃×#102	C₂²	semidirect
189. #11718425	C₂²	semidirect
190. #11718423	C₂²	semidirect
191. #11718395	C₂²	semidirect
192. #11718393	C₂²	semidirect
193. #11718393	C₂²	semidirect
194. #11718392	C₂²	semidirect
195. #11718390	C₂²	semidirect
196. #11718389	C₂²	semidirect
197. #11718388	C₂²	semidirect
198. #11718387	C₂²	semidirect
199. #11718373	C₂²	semidirect
200. #11718372	C₂²	semidirect
201. #11718370	C₂²	semidirect
202. #11718367	C₂²	semidirect
748. #3321	D₁₃	semidirect
940. #555	C₂×D₁₃	semidirect
948. #548	C₂×D₁₃	semidirect
986. #489	C₂×D₁₃	semidirect
989. #485	C₂×D₁₃	semidirect
994. #482	C₂×D₁₃	semidirect
1004. #475	C₂×D₁₃	semidirect
1013. #469	C₂×D₁₃	semidirect
1020. #465	C₂×D₁₃	semidirect
1026. #463	C₂×D₁₃	semidirect
1055. #449	C₂×D₁₃	semidirect
1057. #448	C₂×D₁₃	semidirect
1072. #440	C₂×D₁₃	semidirect
1084. #435	C₂×D₁₃	semidirect
1087. #419	C₂×D₁₃	semidirect
1093. #416	C₂×D₁₃	semidirect
1716. C₁₃	#61653	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#13129159	2
#13128502	2
#13127160	2
#13127085	2
#13127072	2
#13127050	2
#13126980	2
#13126958	2
#13126796	2
#13126468	2
#13126453	2
#13126449	2
#13126442	2
#13126424	2
#13126378	2
#13126321	2
#13126313	2
#13125931	2
#13125883	2
#13125741	2
#13125694	2
#13125654	2
#13125632	2
#13125120	2
#13125033	2
#13124138	2
#13124107	2
#13124087	2
#13124082	2
#13123895	2
C₁₃×#3321	2
#61653	13