Subgroups — #16748933

Order 3328.

2050 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129110	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128513	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127130	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127112	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127015	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126994	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126907	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126867	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126759	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126756	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126577	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126538	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126468	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126440	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126394	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126360	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126340	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125952	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125940	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125722	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125691	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125667	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125615	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125111	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125097	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124127	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124117	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124077	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124059	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123883	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3270	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88254	C₂²	1	1	yes	characteristic
33	C₂²×#6131	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
35	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
36	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#548	C₂²	1	1	yes	characteristic
38	#11719534	C₂²	1	1	yes	characteristic
39	#11719533	C₂²	1	1	yes	characteristic
40	C₂×#88203	C₂²	1	1	yes	characteristic
41	#11719522	C₂²	1	1	yes	characteristic, complemented
42	#11719522	C₂²	1	1	yes	characteristic, complemented
43	#11719521	C₂²	1	1	yes	characteristic, complemented
44	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
45	C₂×#88196	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88173	C₂²	1	1	yes	characteristic
47	C₂×#88173	C₂²	1	1	yes	characteristic
48	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
49	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
50	#11719431	—	2	1	no	—
51	#11719431	C₂²	1	1	yes	characteristic
52	#11719429	—	2	1	no	—
53	#11719429	C₂²	1	1	yes	characteristic, complemented
54	#11719388	—	2	1	no	—
55	#11719387	C₂²	1	1	yes	characteristic, complemented
56	#11719381	C₂²	1	1	yes	characteristic, complemented
57	#11719374	—	2	1	no	—
58	#11719346	C₂²	1	1	yes	characteristic
59	#11719345	—	2	1	no	—
60	#11719342	—	2	1	no	—
61	#11719336	—	2	1	no	—
62	#11719336	C₂²	1	1	yes	characteristic, complemented
63	#11719335	—	2	1	no	—
64	#11719335	C₂²	1	1	yes	characteristic
65	#11719334	—	2	1	no	—
66	#11719334	C₂²	1	1	yes	characteristic
67	#11719332	C₂²	1	1	yes	characteristic
68	D₁₃×C₂²⋊Q₈	—	2	1	no	—
69	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
70	#11719325	—	2	1	no	—
71	#11719321	C₂²	1	1	yes	characteristic, complemented
72	#11719318	—	2	1	no	—
73	#11719312	C₂²	1	1	yes	characteristic, complemented
74	#11719289	C₂²	1	1	yes	characteristic, complemented
75	#11719287	C₂²	1	1	yes	characteristic, complemented
76	#11719281	C₂²	1	1	yes	characteristic
77	#11719279	C₂²	1	1	yes	characteristic, complemented
78	#11719268	C₂²	1	1	yes	characteristic
79	#11719265	—	2	1	no	—
80	#11719264	—	2	1	no	—
81	#11719255	—	2	1	no	—
82	#11719255	C₂²	1	1	yes	characteristic, complemented
83	#11719252	—	2	1	no	—
84	#11719252	C₂²	1	1	yes	characteristic
85	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#452	C₂²	1	1	yes	characteristic
91	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
96	#11718900	C₂²	1	1	yes	characteristic
97	#11718888	C₂²	1	1	yes	characteristic
98	#11718888	C₂²	1	1	yes	characteristic, complemented
99	#11718888	C₂²	1	1	yes	characteristic, complemented
100	#11718886	C₂²	1	1	yes	characteristic, complemented
101	#11718886	C₂²	1	1	yes	characteristic, complemented
102	#11718852	C₂²	1	1	yes	characteristic, complemented
103	#11718851	C₂²	1	1	yes	characteristic, complemented
104	#11718850	C₂²	1	1	yes	characteristic, complemented
105	#11718849	C₂²	1	1	yes	characteristic, complemented
106	#11718849	C₂²	1	1	yes	characteristic, complemented
107	#11718848	C₂²	1	1	yes	characteristic, complemented
108	#11718848	C₂²	1	1	yes	characteristic, complemented
109	#11718848	C₂²	1	1	yes	characteristic, complemented
110	#11718848	C₂²	1	1	yes	characteristic, complemented
111	#11718848	C₂²	1	1	yes	characteristic, complemented
112	#11718848	C₂²	1	1	yes	characteristic, complemented
113	#11718848	C₂²	1	1	yes	characteristic, complemented
114	#11718848	C₂²	1	1	yes	characteristic, complemented
115	#11718848	C₂²	1	1	yes	characteristic, complemented
116	#11718847	C₂²	1	1	yes	characteristic, complemented
117	#11718847	C₂²	1	1	yes	characteristic, complemented
118	#11718847	C₂²	1	1	yes	characteristic, complemented
119	#11718847	C₂²	1	1	yes	characteristic, complemented
120	#11718846	C₂²	1	1	yes	characteristic, complemented
121	#11718846	C₂²	1	1	yes	characteristic, complemented
122	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
123	#11718843	C₂²	1	1	yes	characteristic, complemented
124	#11718833	C₂²	1	1	yes	characteristic
125	#11718833	C₂²	1	1	yes	characteristic
126	#11718833	C₂²	1	1	yes	characteristic
127	#11718833	C₂²	1	1	yes	characteristic
128	#11718832	C₂²	1	1	yes	characteristic, complemented
129	#11718831	C₂²	1	1	yes	characteristic, complemented
130	#11718830	C₂²	1	1	yes	characteristic, complemented
131	#11718826	C₂²	1	1	yes	characteristic, complemented
132	#11718825	C₂²	1	1	yes	characteristic, complemented
133	#11718823	C₂²	1	1	yes	characteristic, complemented
134	#11718795	C₂²	1	1	yes	characteristic
135	#11718792	C₂²	1	1	yes	characteristic, complemented
136	#11718788	C₂²	1	1	yes	characteristic
137	#11718787	C₂²	1	1	yes	characteristic, complemented
138	#11718776	C₂²	1	1	yes	characteristic, complemented
139	#11718774	C₂²	1	1	yes	characteristic, complemented
140	#11718771	C₂²	1	1	yes	characteristic, complemented
141	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
142	#11718744	C₂²	1	1	yes	characteristic, complemented
143	#11718742	C₂²	1	1	yes	characteristic, complemented
144	#11718720	C₂²	1	1	yes	characteristic, complemented
145	#11718718	C₂²	1	1	yes	characteristic, complemented
146	#11718713	C₂²	1	1	yes	characteristic, complemented
147	#11718710	C₂²	1	1	yes	characteristic
148	#11718710	C₂²	1	1	yes	characteristic, complemented
149	#11718707	C₂²	1	1	yes	characteristic, complemented
150	#11718706	C₂²	1	1	yes	characteristic, complemented
151	#11718706	C₂²	1	1	yes	characteristic, complemented
152	#11718700	C₂²	1	1	yes	characteristic, complemented
153	#11718698	C₂²	1	1	yes	characteristic, complemented
154	#11718689	C₂²	1	1	yes	characteristic, complemented
155	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
156	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
157	#11718682	C₂²	1	1	yes	characteristic, complemented
158	#11718673	C₂²	1	1	yes	characteristic, complemented
159	#11718531	C₂²	1	1	yes	characteristic, complemented
160	#11718528	C₂²	1	1	yes	characteristic, complemented
161	#11718527	C₂²	1	1	yes	characteristic, complemented
162	#11718524	C₂²	1	1	yes	characteristic, complemented
163	#11718507	C₂²	1	1	yes	characteristic, complemented
164	#11718505	C₂²	1	1	yes	characteristic, complemented
165	#11718501	C₂²	1	1	yes	characteristic, complemented
166	#11718495	C₂²	1	1	yes	characteristic, complemented
167	#11718480	C₂²	1	1	yes	characteristic, complemented
168	#11718478	C₂²	1	1	yes	characteristic, complemented
169	#11718475	C₂²	1	1	yes	characteristic, complemented
170	#11718475	C₂²	1	1	yes	characteristic, complemented
171	#11718474	C₂²	1	1	yes	characteristic, complemented
172	#11718473	C₂²	1	1	yes	characteristic, complemented
173	#11718472	C₂²	1	1	yes	characteristic
174	#11718472	C₂²	1	1	yes	characteristic
175	#11718471	C₂²	1	1	yes	characteristic, complemented
176	#11718470	C₂²	1	1	yes	characteristic, complemented
177	#11718468	C₂²	1	1	yes	characteristic, complemented
178	#11718467	C₂²	1	1	yes	characteristic, complemented
179	#11718466	C₂²	1	1	yes	characteristic, complemented
180	#11718465	C₂²	1	1	yes	characteristic, complemented
181	#11718465	C₂²	1	1	yes	characteristic, complemented
182	#11718465	C₂²	1	1	yes	characteristic, complemented
183	#11718463	C₂²	1	1	yes	characteristic, complemented
184	#11718456	C₂²	1	1	yes	characteristic, complemented
185	#11718453	C₂²	1	1	yes	characteristic, complemented
186	#11718452	C₂²	1	1	yes	characteristic, complemented
187	#11718439	C₂²	1	1	yes	characteristic, complemented
188	#11718435	C₂²	1	1	yes	characteristic, complemented
189	#11718434	C₂²	1	1	yes	characteristic, complemented
190	#11718417	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718395	C₂²	1	1	yes	characteristic, complemented
193	#11718393	C₂²	1	1	yes	characteristic
194	#11718390	C₂²	1	1	yes	characteristic
195	#11718389	C₂²	1	1	yes	characteristic, complemented
196	#11718388	C₂²	1	1	yes	characteristic, complemented
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	#11718384	C₂²	1	1	yes	characteristic, complemented
199	#11718375	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	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
207	#88254	—	4	2	no	—
208	#88254	—	4	2	no	—
209	C₂×#6131	—	2	1	no	—
210	C₂×#6131	—	2	1	no	—
211	C₂×#6131	—	2	1	no	—
212	C₂×#6131	—	4	2	no	—
213	C₂×#6131	—	4	2	no	—
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×#6131	C₂³	1	1	yes	characteristic
218	C₂×#6131	C₂³	1	1	yes	characteristic
219	C₂×#6131	C₂³	1	1	yes	characteristic
220	C₂×Q₈×D₁₃	—	2	1	no	—
221	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
224	C₂×#6127	—	2	1	no	—
225	C₂×#6127	—	2	1	no	—
226	C₂×#6127	C₂³	1	1	yes	characteristic
227	C₂×#6127	C₂³	1	1	yes	characteristic
228	C₂²×D₅₂	—	2	1	no	—
229	C₂²×D₅₂	C₂³	1	1	yes	characteristic
230	C₂²×C₄×D₁₃	—	2	1	no	—
231	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₁₃×#137	—	4	2	no	—
233	C₂×C₁₃×Q₁₆	—	4	2	no	—
234	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
244	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
245	C₁₃×C₄⋊Q₈	—	2	1	no	—
246	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×#124	—	2	1	no	—
248	C₁₃×#124	C₂³	1	1	yes	characteristic
249	C₁₃×C₂²⋊Q₈	—	2	1	no	—
250	C₁₃×C₂²⋊Q₈	—	2	1	no	—
251	C₁₃×C₂²⋊Q₈	—	2	1	no	—
252	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
253	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₃×#121	—	2	1	no	—
256	C₁₃×#121	C₂³	1	1	yes	characteristic
257	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
258	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₃	—	2	1	no	—
260	C₄×D₄×C₁₃	—	2	1	no	—
261	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
262	#88203	—	4	2	no	—
263	#88201	—	2	1	no	—
264	#88201	—	2	1	no	—
265	#88201	—	2	1	no	—
266	#88201	C₂³	1	1	yes	characteristic
267	#88201	C₂³	1	1	yes	characteristic
268	#88200	—	2	1	no	—
269	#88200	—	2	1	no	—
270	#88200	—	2	1	no	—
271	#88200	C₂³	1	1	yes	characteristic
272	#88200	C₂³	1	1	yes	characteristic
273	#88200	C₂³	1	1	yes	characteristic
274	#88200	C₂³	1	1	yes	characteristic
275	#88200	C₂³	1	1	yes	characteristic
276	#88200	C₂³	1	1	yes	characteristic
277	#88200	C₂³	1	1	yes	characteristic
278	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
279	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
280	#88198	—	2	1	no	—
281	#88198	—	2	1	no	—
282	#88198	C₂³	1	1	yes	characteristic
283	C₂×#6107	C₂³	1	1	yes	characteristic
284	C₂×#6107	C₂³	1	1	yes	characteristic
285	#88196	—	4	2	no	—
286	C₂×#6106	C₂³	1	1	yes	characteristic
287	C₂×#6106	C₂³	1	1	yes	characteristic
288	C₂×#6106	C₂³	1	1	yes	characteristic
289	C₂×#6106	C₂³	1	1	yes	characteristic
290	C₂×#6106	C₂³	1	1	yes	characteristic
291	C₂×#6106	C₂³	1	1	yes	characteristic
292	C₂×#6106	C₂³	1	1	yes	characteristic
293	#88194	—	2	1	no	—
294	#88193	—	2	1	no	—
295	#88193	—	2	1	no	—
296	#88193	D₄	1	1	yes	characteristic
297	#88192	—	2	1	no	—
298	#88192	C₂³	1	1	yes	characteristic
299	#88192	C₂³	1	1	yes	characteristic
300	#88191	—	2	1	no	—
301	#88191	—	2	1	no	—
302	#88191	—	2	1	no	—
303	#88191	—	2	1	no	—
304	#88191	D₄	1	1	yes	characteristic
305	#88190	—	2	1	no	—
306	#88189	—	2	1	no	—
307	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
308	C₂×#6105	C₂³	1	1	yes	characteristic
309	C₂×#6104	C₂³	1	1	yes	characteristic
310	C₂×#6104	C₂³	1	1	yes	characteristic
311	#88184	—	2	1	no	—
312	#88184	—	2	1	no	—
313	#88184	C₂³	1	1	yes	characteristic
314	#88184	C₂³	1	1	yes	characteristic
315	#88184	C₂³	1	1	yes	characteristic
316	#88183	—	2	1	no	—
317	#88183	—	2	1	no	—
318	#88183	—	2	1	no	—
319	C₄×C₂²⋊D₁₃	—	2	1	no	—
320	C₄×C₂²⋊D₁₃	—	2	1	no	—
321	C₄×C₂²⋊D₁₃	—	2	1	no	—
322	C₄×C₂²⋊D₁₃	—	2	1	no	—
323	C₄×C₂²⋊D₁₃	—	2	1	no	—
324	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
325	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
326	C₂×#6103	—	2	1	no	—
327	#88180	C₂³	1	1	yes	characteristic
328	#88180	C₂³	1	1	yes	characteristic
329	#88178	—	2	1	no	—
330	#88178	C₂³	1	1	yes	characteristic
331	C₂×#6099	C₂³	1	1	yes	characteristic
332	C₂×#6099	C₂³	1	1	yes	characteristic
333	#88173	—	4	2	no	—
334	#88173	—	4	2	no	—
335	#88168	—	4	2	no	—
336	SD₁₆×D₁₃	—	4	2	no	—
337	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
338	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
339	C₂×#6095	C₂³	1	1	yes	characteristic
340	C₂×#6094	C₂³	1	1	yes	characteristic
341	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
342	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
343	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
344	#88152	—	2	1	no	—
345	#88152	—	2	1	no	—
346	#88152	—	2	1	no	—
347	#88151	—	2	1	no	—
348	#88151	C₂³	1	1	yes	characteristic
349	#88150	—	2	1	no	—
350	#88150	—	2	1	no	—
351	#88150	—	2	1	no	—
352	#88150	—	2	1	no	—
353	#88150	—	2	1	no	—
354	#88150	D₄	1	1	yes	characteristic
355	#88149	—	2	1	no	—
356	#88149	—	2	1	no	—
357	#88149	—	2	1	no	—
358	#88149	—	2	1	no	—
359	#88149	C₂³	1	1	yes	characteristic
360	#88149	C₂³	1	1	yes	characteristic
361	#88148	—	2	1	no	—
362	#88148	—	2	1	no	—
363	#88148	—	2	1	no	—
364	#88148	—	2	1	no	—
365	#88148	—	2	1	no	—
366	#88148	—	2	1	no	—
367	#88148	—	2	1	no	—
368	#88148	—	2	1	no	—
369	#88148	—	2	1	no	—
370	#88148	D₄	1	1	yes	characteristic
371	#88147	—	2	1	no	—
372	#88147	—	2	1	no	—
373	#88147	C₂³	1	1	yes	characteristic
374	#88146	—	2	1	no	—
375	#88146	C₂³	1	1	yes	characteristic
376	#88146	C₂³	1	1	yes	characteristic
377	C₄⋊C₄×D₁₃	—	2	1	no	—
378	C₄⋊C₄×D₁₃	—	2	1	no	—
379	C₄⋊C₄×D₁₃	—	2	1	no	—
380	C₄⋊C₄×D₁₃	—	2	1	no	—
381	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
382	#88142	C₂³	1	1	yes	characteristic
383	#88141	—	2	1	no	—
384	#88140	—	2	1	no	—
385	#88139	—	2	1	no	—
386	#88139	—	2	1	no	—
387	#88139	—	2	1	no	—
388	#88139	—	2	1	no	—
389	#88139	—	2	1	no	—
390	#88139	—	2	1	no	—
391	#88138	—	2	1	no	—
392	#88138	—	2	1	no	—
393	#88138	—	2	1	no	—
394	#88138	—	2	1	no	—
395	#88138	—	2	1	no	—
396	#88138	D₄	1	1	yes	characteristic
397	#88137	—	2	1	no	—
398	#88137	—	2	1	no	—
399	#88137	D₄	1	1	yes	characteristic
400	#88136	—	2	1	no	—
401	#88136	—	2	1	no	—
402	#88136	—	2	1	no	—
403	#88136	—	2	1	no	—
404	#88136	D₄	1	1	yes	characteristic
405	#88135	—	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	C₂²⋊C₄×D₁₃	—	2	1	no	—
410	#88133	—	2	1	no	—
411	#88133	—	2	1	no	—
412	#88132	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	D₄	1	1	yes	characteristic
415	#88131	—	2	1	no	—
416	#88130	—	2	1	no	—
417	#88129	—	2	1	no	—
418	#88129	—	2	1	no	—
419	#88129	—	2	1	no	—
420	#88129	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
428	#88123	C₂³	1	1	yes	characteristic
429	C₄×Dic₂₆	—	2	1	no	—
430	C₁₃×#106	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	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×#102	C₂³	1	1	yes	characteristic
438	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×#97	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88075	C₂³	1	1	yes	characteristic
445	#88075	C₂³	1	1	yes	characteristic
446	#88075	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88075	C₂³	1	1	yes	characteristic
449	#88075	C₂³	1	1	yes	characteristic
450	#88075	C₂³	1	1	yes	characteristic
451	#88075	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic
454	C₂²⋊#1055	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	#88061	C₂³	1	1	yes	characteristic
459	#88061	C₂³	1	1	yes	characteristic
460	#88061	C₂³	1	1	yes	characteristic
461	#88061	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	#88060	C₂³	1	1	yes	characteristic
467	#88060	C₂³	1	1	yes	characteristic
468	#88060	C₂³	1	1	yes	characteristic
469	#88060	C₂³	1	1	yes	characteristic
470	#88058	C₂³	1	1	yes	characteristic
471	#88058	C₂³	1	1	yes	characteristic
472	#88057	C₂³	1	1	yes	characteristic
473	#88056	C₂³	1	1	yes	characteristic
474	#88056	C₂³	1	1	yes	characteristic
475	#88056	C₂³	1	1	yes	characteristic
476	#88055	C₂³	1	1	yes	characteristic
477	#88054	C₂³	1	1	yes	characteristic
478	#88054	C₂³	1	1	yes	characteristic
479	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
480	#88050	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	#88047	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	#61627	—	13	1	no	maximal, Sylow
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
494	C₁₃×#41	—	4	1	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₂×Q₈×C₁₃	—	2	1	no	—
497	C₂×Q₈×C₁₃	—	2	1	no	—
498	C₂×Q₈×C₁₃	—	2	1	no	—
499	C₂×Q₈×C₁₃	—	2	2	no	—
500	C₂×Q₈×C₁₃	—	2	2	no	—
501	C₂×Q₈×C₁₃	—	4	1	no	—
502	C₂×Q₈×C₁₃	—	4	1	no	—
503	C₂×Q₈×C₁₃	—	4	1	no	—
504	C₂×Q₈×C₁₃	—	4	1	no	—
505	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
528	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
531	C₂²×Dic₁₃	—	2	1	no	—
532	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
533	#6131	—	2	2	no	—
534	#6131	—	2	2	no	—
535	#6131	—	2	2	no	—
536	#6131	—	2	2	no	—
537	#6131	—	2	2	no	—
538	#6131	—	4	1	no	—
539	#6131	—	4	1	no	—
540	#6131	—	4	1	no	—
541	#6131	—	4	1	no	—
542	#6131	—	4	1	no	—
543	#6131	—	4	4	no	—
544	#6131	—	4	1	no	—
545	#6131	—	4	1	no	—
546	#6131	—	4	4	no	—
547	#6131	—	4	4	no	—
548	Q₈×D₁₃	—	2	2	no	—
549	Q₈×D₁₃	—	4	1	no	—
550	Q₈×D₁₃	—	4	1	no	—
551	Q₈×D₁₃	—	4	1	no	—
552	Q₈×D₁₃	—	4	4	no	—
553	D₄×D₁₃	—	4	1	no	—
554	D₄×D₁₃	—	4	1	no	—
555	#6127	—	2	2	no	—
556	#6127	—	4	1	no	—
557	#6127	—	4	1	no	—
558	#6127	—	4	1	no	—
559	#6127	—	4	4	no	—
560	#6127	—	4	4	no	—
561	C₂×D₅₂	—	2	1	no	—
562	C₂×D₅₂	—	2	2	no	—
563	C₂×D₅₂	—	2	1	no	—
564	C₂×D₅₂	—	2	1	no	—
565	C₂×D₅₂	—	2	1	no	—
566	C₂×D₅₂	—	2	1	no	—
567	C₂×D₅₂	—	2	1	no	—
568	C₂×D₅₂	—	2	1	no	—
569	C₂×D₅₂	—	2	1	no	—
570	C₂×D₅₂	—	2	1	no	—
571	C₂×D₅₂	—	4	1	no	—
572	C₂×D₅₂	—	4	4	no	—
573	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
574	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
575	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
576	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
577	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
578	C₂×C₄×D₁₃	—	2	1	no	—
579	C₂×C₄×D₁₃	—	2	1	no	—
580	C₂×C₄×D₁₃	—	2	1	no	—
581	C₂×C₄×D₁₃	—	2	1	no	—
582	C₂×C₄×D₁₃	—	2	1	no	—
583	C₂×C₄×D₁₃	—	2	1	no	—
584	C₂×C₄×D₁₃	—	2	1	no	—
585	C₂×C₄×D₁₃	—	2	1	no	—
586	C₂×C₄×D₁₃	—	2	1	no	—
587	C₂×C₄×D₁₃	—	2	1	no	—
588	C₂×C₄×D₁₃	—	2	1	no	—
589	C₂×C₄×D₁₃	—	2	1	no	—
590	C₂×C₄×D₁₃	—	2	1	no	—
591	C₂×C₄×D₁₃	—	4	1	no	—
592	C₂×C₄×D₁₃	—	4	1	no	—
593	C₂×C₄×D₁₃	—	4	4	no	—
594	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
595	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
596	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
597	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
598	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
599	C₂×Dic₂₆	—	2	1	no	—
600	C₂×Dic₂₆	—	2	1	no	—
601	C₂×Dic₂₆	—	2	1	no	—
602	C₂×Dic₂₆	—	2	1	no	—
603	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
604	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
605	C₁₃×Q₁₆	—	2	2	no	—
606	C₁₃×Q₁₆	—	2	2	no	—
607	C₁₃×Q₁₆	—	4	1	no	—
608	C₁₃×Q₁₆	—	4	1	no	—
609	C₁₃×Q₁₆	—	4	1	no	—
610	C₁₃×Q₁₆	—	4	1	no	—
611	C₁₃×SD₁₆	—	2	2	no	—
612	C₁₃×SD₁₆	—	4	1	no	—
613	C₁₃×SD₁₆	—	4	1	no	—
614	C₁₃×M₁₆	—	4	1	no	—
615	C₂×C₈×C₁₃	—	4	1	no	—
616	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
617	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
618	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
619	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	—	2	1	no	—
621	C₁₃×C₄⋊C₄	—	2	1	no	—
622	C₁₃×C₄⋊C₄	—	2	1	no	—
623	C₁₃×C₄⋊C₄	—	2	1	no	—
624	C₁₃×C₄⋊C₄	—	2	1	no	—
625	C₁₃×C₄⋊C₄	—	2	1	no	—
626	C₁₃×C₄⋊C₄	—	2	1	no	—
627	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
629	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₄²×C₁₃	—	2	1	no	—
639	C₄²×C₁₃	—	2	1	no	—
640	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
641	C₂²⋊Dic₁₃	—	2	1	no	—
642	C₂²⋊Dic₁₃	—	2	1	no	—
643	C₂²⋊Dic₁₃	—	2	1	no	—
644	C₂²⋊Dic₁₃	—	2	1	no	—
645	C₂²⋊Dic₁₃	—	2	1	no	—
646	C₂²⋊Dic₁₃	—	2	1	no	—
647	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
648	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
649	#6107	—	4	1	no	—
650	#6107	—	4	1	no	—
651	#6106	—	2	2	no	—
652	#6106	—	2	2	no	—
653	#6106	—	2	2	no	—
654	#6106	—	4	1	no	—
655	#6106	—	4	1	no	—
656	#6106	—	4	1	no	—
657	#6106	—	4	1	no	—
658	#6105	—	4	1	no	—
659	#6104	—	2	2	no	—
660	#6104	—	4	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	2	1	no	—
667	#6103	—	2	1	no	—
668	#6103	—	2	1	no	—
669	#6103	—	2	1	no	—
670	#6103	—	2	1	no	—
671	#6103	—	2	1	no	—
672	#6103	—	2	1	no	—
673	#6103	—	2	1	no	—
674	#6103	—	2	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	C₂×D₄	1	1	yes	characteristic
686	#6103	C₂×D₄	1	1	yes	characteristic
687	#6103	C₂×D₄	1	1	yes	characteristic
688	#6103	C₂×D₄	1	1	yes	characteristic
689	#6103	C₂×D₄	1	1	yes	characteristic
690	#6103	C₂×D₄	1	1	yes	characteristic
691	C₄⋊Dic₁₃	—	2	1	no	—
692	C₄⋊Dic₁₃	—	2	1	no	—
693	C₄⋊Dic₁₃	—	2	1	no	—
694	C₄⋊Dic₁₃	—	2	1	no	—
695	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
696	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
697	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
698	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
699	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
700	#6101	—	2	1	no	—
701	#6101	—	2	1	no	—
702	#6101	—	2	1	no	—
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	C₂×D₄	1	1	yes	characteristic
713	#6101	C₂×D₄	1	1	yes	characteristic
714	#6101	C₂×D₄	1	1	yes	characteristic
715	#6101	C₂×D₄	1	1	yes	characteristic
716	C₄×Dic₁₃	—	2	1	no	—
717	C₄×Dic₁₃	—	2	1	no	—
718	C₄×Dic₁₃	—	2	1	no	—
719	C₄×Dic₁₃	—	2	1	no	—
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	—	4	1	no	—
731	#6095	—	4	1	no	—
732	#6094	—	4	1	no	—
733	C₈×D₁₃	—	4	1	no	—
734	C₈×D₁₃	—	4	1	no	—
735	C₈×D₁₃	—	4	1	no	—
736	#3540	—	13	1	no	—
737	#3489	—	13	1	no	—
738	#3329	—	13	1	no	—
739	#3328	—	13	1	no	—
740	#3321	—	13	1	no	—
741	#3319	—	13	1	no	—
742	#3313	—	13	1	no	—
743	#3311	—	13	1	no	—
744	#3303	—	13	1	no	—
745	#3302	—	13	1	no	—
746	#3285	—	13	1	no	—
747	#3282	—	13	1	no	—
748	#3275	—	13	1	no	—
749	#3273	—	13	1	no	—
750	#3270	D₁₃	1	1	yes	characteristic, complemented
751	#3269	—	13	1	no	—
752	#3267	—	13	1	no	—
753	#3266	—	13	1	no	—
754	#3225	—	13	1	no	—
755	#3225	—	13	1	no	—
756	#3201	—	13	1	no	—
757	#3198	—	13	1	no	—
758	#3196	—	13	1	no	—
759	#3190	—	13	1	no	—
760	#3125	—	13	1	no	—
761	#3124	—	13	1	no	—
762	#3011	—	13	1	no	—
763	#3010	—	13	1	no	—
764	#3005	—	13	1	no	—
765	#3002	—	13	1	no	—
766	#2976	—	13	1	no	—
767	C₂³×C₁₃	—	2	1	no	—
768	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
769	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
770	C₂²×D₁₃	—	2	1	no	—
771	C₂²×D₁₃	—	2	1	no	—
772	C₂²×D₁₃	—	2	1	no	—
773	C₂²×D₁₃	—	4	1	no	—
774	C₂²×D₁₃	—	4	1	no	—
775	C₂²×D₁₃	—	4	1	no	—
776	C₂²×D₁₃	—	4	2	no	—
777	C₂²×D₁₃	—	4	2	no	—
778	C₂²×D₁₃	—	8	1	no	—
779	C₂²×D₁₃	—	8	1	no	—
780	C₂²×D₁₃	—	8	1	no	—
781	C₂²×D₁₃	—	8	1	no	—
782	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
785	Q₈×C₁₃	—	2	1	no	—
786	Q₈×C₁₃	—	2	1	no	—
787	Q₈×C₁₃	—	2	1	no	—
788	Q₈×C₁₃	—	2	1	no	—
789	Q₈×C₁₃	—	2	1	no	—
790	Q₈×C₁₃	—	2	1	no	—
791	Q₈×C₁₃	—	2	1	no	—
792	Q₈×C₁₃	—	2	1	no	—
793	Q₈×C₁₃	—	2	1	no	—
794	Q₈×C₁₃	—	4	2	no	—
795	Q₈×C₁₃	—	4	2	no	—
796	Q₈×C₁₃	—	8	1	no	—
797	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
798	D₄×C₁₃	—	2	1	no	—
799	D₄×C₁₃	—	2	1	no	—
800	D₄×C₁₃	—	4	1	no	—
801	D₄×C₁₃	—	8	1	no	—
802	D₄×C₁₃	—	8	1	no	—
803	C₂×C₄×C₁₃	—	2	1	no	—
804	C₂×C₄×C₁₃	—	2	1	no	—
805	C₂×C₄×C₁₃	—	2	1	no	—
806	C₂×C₄×C₁₃	—	2	1	no	—
807	C₂×C₄×C₁₃	—	2	1	no	—
808	C₂×C₄×C₁₃	—	2	1	no	—
809	C₂×C₄×C₁₃	—	2	1	no	—
810	C₂×C₄×C₁₃	—	2	1	no	—
811	C₂×C₄×C₁₃	—	2	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	4	2	no	—
815	C₂×C₄×C₁₃	—	4	2	no	—
816	C₂×C₄×C₁₃	—	8	1	no	—
817	C₂×C₄×C₁₃	—	8	1	no	—
818	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
820	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
823	C₂²⋊D₁₃	—	4	1	no	—
824	C₂²⋊D₁₃	—	4	1	no	—
825	C₂²⋊D₁₃	—	4	1	no	—
826	C₂²⋊D₁₃	—	4	1	no	—
827	C₂²⋊D₁₃	—	4	2	no	—
828	C₂²⋊D₁₃	—	8	1	no	—
829	C₂²⋊D₁₃	—	8	1	no	—
830	C₂²⋊D₁₃	—	8	1	no	—
831	C₂²⋊D₁₃	—	8	1	no	—
832	C₂²⋊D₁₃	—	8	1	no	—
833	C₂²⋊D₁₃	—	8	1	no	—
834	C₂×Dic₁₃	—	2	1	no	—
835	C₂×Dic₁₃	—	2	1	no	—
836	C₂×Dic₁₃	—	2	1	no	—
837	C₂×Dic₁₃	—	2	1	no	—
838	C₂×Dic₁₃	—	2	1	no	—
839	C₂×Dic₁₃	—	4	1	no	—
840	C₂×Dic₁₃	—	8	1	no	—
841	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
842	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
843	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
844	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
845	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
846	D₅₂	—	2	4	no	—
847	D₅₂	—	2	1	no	—
848	D₅₂	—	2	1	no	—
849	D₅₂	—	2	1	no	—
850	D₅₂	—	2	1	no	—
851	D₅₂	—	2	1	no	—
852	D₅₂	—	4	1	no	—
853	D₅₂	—	4	1	no	—
854	D₅₂	—	4	2	no	—
855	D₅₂	—	4	2	no	—
856	D₅₂	—	4	2	no	—
857	D₅₂	—	4	2	no	—
858	D₅₂	—	4	2	no	—
859	D₅₂	—	8	1	no	—
860	D₅₂	—	8	1	no	—
861	D₅₂	—	8	1	no	—
862	D₅₂	H(5,𝔽₂)	1	2	yes	—
863	C₄×D₁₃	—	2	4	no	—
864	C₄×D₁₃	—	2	1	no	—
865	C₄×D₁₃	—	2	1	no	—
866	C₄×D₁₃	—	2	1	no	—
867	C₄×D₁₃	—	2	1	no	—
868	C₄×D₁₃	—	2	1	no	—
869	C₄×D₁₃	—	2	1	no	—
870	C₄×D₁₃	—	4	1	no	—
871	C₄×D₁₃	—	4	1	no	—
872	C₄×D₁₃	—	4	2	no	—
873	C₄×D₁₃	—	4	2	no	—
874	C₄×D₁₃	—	4	2	no	—
875	C₄×D₁₃	—	4	2	no	—
876	C₄×D₁₃	—	4	2	no	—
877	C₄×D₁₃	—	4	2	no	—
878	C₄×D₁₃	—	4	2	no	—
879	C₄×D₁₃	—	8	1	no	—
880	C₄×D₁₃	—	8	1	no	—
881	C₄×D₁₃	—	8	1	no	—
882	C₄×D₁₃	—	8	1	no	—
883	C₄×D₁₃	—	8	1	no	—
884	Dic₂₆	—	2	1	no	—
885	Dic₂₆	—	2	1	no	—
886	Dic₂₆	—	4	1	no	—
887	Dic₂₆	—	4	2	no	—
888	Dic₂₆	—	4	2	no	—
889	Dic₂₆	—	8	1	no	—
890	Dic₂₆	—	8	1	no	—
891	C₈×C₁₃	—	2	1	no	—
892	C₈×C₁₃	—	2	1	no	—
893	C₈×C₁₃	—	2	1	no	—
894	C₈×C₁₃	—	2	1	no	—
895	#1055	—	2	1	no	—
896	#1055	—	2	1	no	—
897	#1055	—	2	1	no	—
898	#1055	—	2	1	no	—
899	C₂×2₋¹⁺⁴	—	13	1	no	—
900	C₂²×#41	—	13	1	no	—
901	C₂×#137	—	13	1	no	—
902	C₂×#137	C₂×D₁₃	1	1	yes	characteristic
903	C₂×AGL(1,ℤ/8)	—	13	1	no	—
904	C₂×AGL(1,ℤ/8)	—	13	1	no	—
905	C₂×#135	—	13	1	no	—
906	C₂×#135	—	13	1	no	—
907	C₂²×Q₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
908	C₂²×SD₁₆	—	13	1	no	—
909	H(3,𝔽₄)	—	26	1	no	—
910	#560	—	26	1	no	—
911	#559	—	26	1	no	—
912	#556	—	13	1	no	—
913	#556	—	13	1	no	—
914	#555	—	13	1	no	—
915	#555	—	13	1	no	—
916	#551	—	26	1	no	—
917	D₄×Q₈	—	13	1	no	—
918	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
919	#548	—	13	1	no	—
920	#548	—	13	1	no	—
921	#548	—	13	1	no	—
922	#548	C₂×D₁₃	1	1	yes	characteristic
923	#547	—	13	1	no	—
924	#547	—	13	1	no	—
925	#547	—	26	1	no	—
926	#547	—	26	1	no	—
927	#546	—	13	1	no	—
928	#546	—	13	1	no	—
929	#546	—	13	1	no	—
930	#546	—	13	1	no	—
931	#546	—	26	1	no	—
932	#546	—	26	1	no	—
933	#542	—	13	1	no	—
934	#542	—	13	1	no	—
935	#542	—	26	1	no	—
936	#542	—	26	1	no	—
937	#538	—	26	1	no	—
938	#538	—	26	1	no	—
939	#537	—	13	1	no	—
940	#537	—	26	1	no	—
941	#536	—	13	1	no	—
942	#536	—	13	1	no	—
943	#536	—	26	1	no	—
944	#535	—	13	1	no	—
945	#525	—	13	1	no	—
946	#525	—	13	1	no	—
947	#525	—	13	1	no	—
948	#525	—	26	1	no	—
949	C₂×C₂²⋊Q₈	—	13	1	no	—
950	C₂×C₂²⋊Q₈	—	26	1	no	—
951	#520	—	13	1	no	—
952	#497	—	13	1	no	—
953	#497	C₂×D₁₃	1	1	yes	characteristic, complemented
954	#495	—	13	1	no	—
955	#495	—	13	1	no	—
956	#489	—	13	1	no	—
957	#489	—	13	1	no	—
958	#487	—	13	1	no	—
959	#487	—	13	1	no	—
960	#485	—	13	1	no	—
961	#485	—	13	1	no	—
962	#485	—	13	1	no	—
963	#485	—	13	1	no	—
964	#485	—	13	1	no	—
965	#485	—	13	1	no	—
966	#484	—	13	1	no	—
967	#483	—	13	1	no	—
968	#482	—	13	1	no	—
969	#482	—	13	1	no	—
970	#481	—	13	1	no	—
971	#480	—	13	1	no	—
972	#477	—	13	1	no	—
973	#476	—	13	1	no	—
974	#475	—	13	1	no	—
975	#474	—	13	1	no	—
976	#470	—	13	1	no	—
977	#470	—	13	1	no	—
978	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
979	#469	—	13	1	no	—
980	#468	—	13	1	no	—
981	#468	—	13	1	no	—
982	#468	—	13	1	no	—
983	#468	—	13	1	no	—
984	#467	—	13	1	no	—
985	#467	—	13	1	no	—
986	#467	—	13	1	no	—
987	#466	—	13	1	no	—
988	#465	—	13	1	no	—
989	#465	—	13	1	no	—
990	#465	—	13	1	no	—
991	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
992	#464	—	13	1	no	—
993	#464	—	13	1	no	—
994	#464	—	13	1	no	—
995	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
996	#463	—	13	1	no	—
997	#463	—	13	1	no	—
998	#463	—	13	1	no	—
999	#463	—	13	1	no	—
1000	#462	—	13	1	no	—
1001	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
1002	#461	—	13	1	no	—
1003	#461	—	13	1	no	—
1004	#452	—	13	1	no	—
1005	#452	—	13	1	no	—
1006	#452	—	13	1	no	—
1007	#452	—	13	1	no	—
1008	#452	—	13	1	no	—
1009	#452	—	13	1	no	—
1010	#452	—	13	1	no	—
1011	#452	—	13	1	no	—
1012	#452	—	13	1	no	—
1013	#452	—	13	1	no	—
1014	#452	—	13	1	no	—
1015	#452	C₂×D₁₃	1	1	yes	characteristic
1016	#451	—	13	1	no	—
1017	#451	—	13	1	no	—
1018	#451	—	13	1	no	—
1019	#451	—	13	1	no	—
1020	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1021	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1022	#450	—	13	1	no	—
1023	#450	—	13	1	no	—
1024	#449	—	13	1	no	—
1025	#449	—	13	1	no	—
1026	#449	—	13	1	no	—
1027	#449	—	13	1	no	—
1028	#449	—	13	1	no	—
1029	#449	—	13	1	no	—
1030	#449	—	13	1	no	—
1031	#449	—	13	1	no	—
1032	#448	—	13	1	no	—
1033	#448	—	13	1	no	—
1034	#448	—	13	1	no	—
1035	#448	—	13	1	no	—
1036	#448	—	13	1	no	—
1037	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1038	#447	—	13	1	no	—
1039	#447	—	13	1	no	—
1040	#442	—	13	1	no	—
1041	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
1042	#440	—	13	1	no	—
1043	#440	—	13	1	no	—
1044	C₄×Q₁₆	—	13	1	no	—
1045	C₄×SD₁₆	—	13	1	no	—
1046	C₄×SD₁₆	—	13	1	no	—
1047	C₄×D₈	—	13	1	no	—
1048	#436	—	13	1	no	—
1049	#436	—	13	1	no	—
1050	#435	—	13	1	no	—
1051	#435	—	13	1	no	—
1052	#435	—	13	1	no	—
1053	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1054	C₈×D₄	—	13	1	no	—
1055	C₈×D₄	—	13	1	no	—
1056	#433	—	13	1	no	—
1057	#433	—	13	1	no	—
1058	#419	—	13	1	no	—
1059	#419	—	13	1	no	—
1060	#419	—	13	1	no	—
1061	#418	—	13	1	no	—
1062	#416	—	13	1	no	—
1063	#416	—	13	1	no	—
1064	#416	—	13	1	no	—
1065	#416	—	13	1	no	—
1066	#408	—	13	1	no	—
1067	#408	—	13	1	no	—
1068	#407	—	13	1	no	—
1069	C₂×C₂²⋊C₈	—	13	1	no	—
1070	C₂²×C₁₃	—	2	1	no	—
1071	C₂²×C₁₃	—	2	1	no	—
1072	C₂²×C₁₃	—	2	1	no	—
1073	C₂²×C₁₃	—	2	1	no	—
1074	C₂²×C₁₃	—	2	1	no	—
1075	C₂²×C₁₃	—	2	1	no	—
1076	C₂²×C₁₃	—	4	1	no	—
1077	C₂²×C₁₃	—	4	1	no	—
1078	C₂²×C₁₃	—	4	1	no	—
1079	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1080	C₂×D₁₃	—	2	1	no	—
1081	C₂×D₁₃	—	2	1	no	—
1082	C₂×D₁₃	—	2	1	no	—
1083	C₂×D₁₃	—	2	1	no	—
1084	C₂×D₁₃	—	2	1	no	—
1085	C₂×D₁₃	—	2	1	no	—
1086	C₂×D₁₃	—	2	1	no	—
1087	C₂×D₁₃	—	2	2	no	—
1088	C₂×D₁₃	—	2	1	no	—
1089	C₂×D₁₃	—	2	1	no	—
1090	C₂×D₁₃	—	4	1	no	—
1091	C₂×D₁₃	—	4	1	no	—
1092	C₂×D₁₃	—	4	1	no	—
1093	C₂×D₁₃	—	4	1	no	—
1094	C₂×D₁₃	—	4	1	no	—
1095	C₂×D₁₃	—	4	1	no	—
1096	C₂×D₁₃	—	4	1	no	—
1097	C₂×D₁₃	—	4	1	no	—
1098	C₂×D₁₃	—	8	2	no	—
1099	C₂×D₁₃	—	8	4	no	—
1100	C₂×D₁₃	—	16	2	no	—
1101	C₄×C₁₃	—	2	1	no	—
1102	C₄×C₁₃	—	2	1	no	—
1103	C₄×C₁₃	—	2	2	no	—
1104	C₄×C₁₃	—	2	1	no	—
1105	C₄×C₁₃	—	2	1	no	—
1106	C₄×C₁₃	—	4	1	no	—
1107	C₄×C₁₃	—	4	1	no	—
1108	C₄×C₁₃	—	4	1	no	—
1109	C₄×C₁₃	—	4	1	no	—
1110	C₄×C₁₃	—	4	1	no	—
1111	C₄×C₁₃	—	4	1	no	—
1112	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1113	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1114	Dic₁₃	—	2	1	no	—
1115	Dic₁₃	—	2	1	no	—
1116	Dic₁₃	—	2	1	no	—
1117	Dic₁₃	—	2	1	no	—
1118	Dic₁₃	—	2	1	no	—
1119	Dic₁₃	—	4	1	no	—
1120	Dic₁₃	—	4	1	no	—
1121	Dic₁₃	—	4	1	no	—
1122	Dic₁₃	—	4	1	no	—
1123	Dic₁₃	—	4	1	no	—
1124	2₋¹⁺⁴	—	52	2	no	—
1125	2₋¹⁺⁴	—	52	2	no	—
1126	C₂×#41	—	13	1	no	—
1127	C₂×#41	—	13	1	no	—
1128	C₂×#41	—	13	1	no	—
1129	C₂×#41	—	13	1	no	—
1130	C₂×#41	—	13	1	no	—
1131	C₂×#41	—	13	1	no	—
1132	C₂×#41	—	13	1	no	—
1133	C₂×#41	—	13	1	no	—
1134	C₂×#41	—	26	1	no	—
1135	C₂×#41	—	26	1	no	—
1136	C₂×#41	—	26	1	no	—
1137	C₂×#41	—	26	1	no	—
1138	C₂×#41	—	26	1	no	—
1139	C₂×#41	—	52	2	no	—
1140	C₂×#41	—	52	2	no	—
1141	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1142	C₂²×Q₈	—	13	1	no	—
1143	C₂²×Q₈	—	13	1	no	—
1144	C₂²×Q₈	—	26	1	no	—
1145	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1146	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1147	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1148	C₂²×D₄	—	13	1	no	—
1149	C₂²×D₄	—	13	1	no	—
1150	C₂²×D₄	—	26	1	no	—
1151	C₂³×C₄	—	13	1	no	—
1152	C₂³×C₄	—	26	1	no	—
1153	#137	—	4	2	no	—
1154	#137	—	52	2	no	—
1155	AGL(1,ℤ/8)	—	52	2	no	—
1156	AGL(1,ℤ/8)	—	52	2	no	—
1157	#135	—	52	2	no	—
1158	#135	—	52	2	no	—
1159	C₂×Q₁₆	—	4	2	no	—
1160	C₂×Q₁₆	—	13	1	no	—
1161	C₂×Q₁₆	—	13	1	no	—
1162	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1163	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1164	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1165	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1166	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1167	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1168	C₂×SD₁₆	—	13	1	no	—
1169	C₂×SD₁₆	—	13	1	no	—
1170	C₂×SD₁₆	—	13	1	no	—
1171	C₂×SD₁₆	—	13	1	no	—
1172	C₂×SD₁₆	—	13	1	no	—
1173	C₂×SD₁₆	—	13	1	no	—
1174	C₂×SD₁₆	—	13	1	no	—
1175	C₂×SD₁₆	—	13	1	no	—
1176	C₂×SD₁₆	—	13	1	no	—
1177	C₂×SD₁₆	—	52	2	no	—
1178	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1179	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1180	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1181	C₂×D₈	—	13	1	no	—
1182	C₂×D₈	—	13	1	no	—
1183	C₂×D₈	—	13	1	no	—
1184	C₂×D₈	—	13	1	no	—
1185	C₂×M₁₆	—	13	1	no	—
1186	C₂×M₁₆	—	13	1	no	—
1187	C₂×M₁₆	—	13	1	no	—
1188	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1189	C₂²×C₈	—	13	1	no	—
1190	C₂²×C₈	—	13	1	no	—
1191	C₂²×C₈	—	13	1	no	—
1192	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1193	C₄⋊Q₈	—	2	1	no	—
1194	C₄⋊Q₈	—	13	1	no	—
1195	C₄⋊Q₈	—	13	1	no	—
1196	C₄⋊Q₈	—	13	1	no	—
1197	C₄⋊Q₈	—	26	1	no	—
1198	C₄⋊Q₈	—	26	1	no	—
1199	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1200	#127	—	26	1	no	—
1201	#126	—	26	1	no	—
1202	#126	—	26	1	no	—
1203	#126	—	26	1	no	—
1204	#126	—	26	1	no	—
1205	#126	—	26	1	no	—
1206	#126	—	26	1	no	—
1207	#124	—	2	1	no	—
1208	#124	—	13	1	no	—
1209	#124	—	13	1	no	—
1210	#124	—	13	1	no	—
1211	#124	—	26	1	no	—
1212	#124	—	26	1	no	—
1213	#124	—	26	1	no	—
1214	#124	—	26	1	no	—
1215	#124	—	26	1	no	—
1216	#124	—	26	1	no	—
1217	#124	—	26	1	no	—
1218	#124	—	26	1	no	—
1219	#124	—	26	1	no	—
1220	#124	—	26	1	no	—
1221	#124	—	26	1	no	—
1222	#124	—	26	1	no	—
1223	#124	—	26	1	no	—
1224	#124	C₂²×D₁₃	1	1	yes	characteristic
1225	#123	—	13	1	no	—
1226	#123	—	13	1	no	—
1227	#123	—	26	1	no	—
1228	#123	—	26	1	no	—
1229	#123	—	26	1	no	—
1230	#123	—	26	1	no	—
1231	#123	—	26	1	no	—
1232	#123	—	26	1	no	—
1233	#123	—	26	1	no	—
1234	#123	—	26	1	no	—
1235	#123	—	26	1	no	—
1236	#123	—	26	1	no	—
1237	#123	—	26	1	no	—
1238	#123	—	26	1	no	—
1239	#123	—	26	1	no	—
1240	#123	—	26	1	no	—
1241	#123	—	26	1	no	—
1242	#123	—	26	1	no	—
1243	C₂²⋊Q₈	—	2	1	no	—
1244	C₂²⋊Q₈	—	2	1	no	—
1245	C₂²⋊Q₈	—	2	1	no	—
1246	C₂²⋊Q₈	—	13	1	no	—
1247	C₂²⋊Q₈	—	13	1	no	—
1248	C₂²⋊Q₈	—	13	1	no	—
1249	C₂²⋊Q₈	—	13	1	no	—
1250	C₂²⋊Q₈	—	13	1	no	—
1251	C₂²⋊Q₈	—	13	1	no	—
1252	C₂²⋊Q₈	—	13	1	no	—
1253	C₂²⋊Q₈	—	13	1	no	—
1254	C₂²⋊Q₈	—	13	1	no	—
1255	C₂²⋊Q₈	—	13	1	no	—
1256	C₂²⋊Q₈	—	13	1	no	—
1257	C₂²⋊Q₈	—	26	1	no	—
1258	C₂²⋊Q₈	—	26	1	no	—
1259	C₂²⋊Q₈	—	26	1	no	—
1260	C₂²⋊Q₈	—	26	1	no	—
1261	C₂²⋊Q₈	—	26	1	no	—
1262	C₂²⋊Q₈	—	26	1	no	—
1263	C₂²⋊Q₈	—	26	1	no	—
1264	C₂²⋊Q₈	—	26	1	no	—
1265	C₂²⋊Q₈	—	26	1	no	—
1266	C₂²⋊Q₈	—	26	1	no	—
1267	C₂²⋊Q₈	—	26	1	no	—
1268	C₂²⋊Q₈	—	26	1	no	—
1269	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1270	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1271	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1272	#121	—	2	1	no	—
1273	#121	—	13	1	no	—
1274	#121	—	13	1	no	—
1275	#121	—	13	1	no	—
1276	#121	—	13	1	no	—
1277	#121	—	13	1	no	—
1278	#121	—	13	1	no	—
1279	#121	—	13	1	no	—
1280	#121	—	13	1	no	—
1281	#121	—	13	1	no	—
1282	#121	—	26	1	no	—
1283	#121	—	26	1	no	—
1284	#121	—	26	1	no	—
1285	#121	—	26	1	no	—
1286	#121	—	26	1	no	—
1287	#121	—	26	1	no	—
1288	#121	—	26	1	no	—
1289	#121	—	26	1	no	—
1290	#121	—	26	1	no	—
1291	#121	—	26	1	no	—
1292	#121	—	26	1	no	—
1293	#121	—	26	1	no	—
1294	#121	—	26	1	no	—
1295	#121	—	26	1	no	—
1296	#121	C₂²×D₁₃	1	1	yes	characteristic
1297	#120	—	13	1	no	—
1298	#120	—	13	1	no	—
1299	#120	—	26	1	no	—
1300	#120	—	26	1	no	—
1301	#120	—	26	1	no	—
1302	#120	—	26	1	no	—
1303	#120	—	26	1	no	—
1304	#120	—	26	1	no	—
1305	#120	—	26	1	no	—
1306	#120	—	26	1	no	—
1307	C₄×Q₈	—	13	1	no	—
1308	C₄×Q₈	—	13	1	no	—
1309	C₄×Q₈	—	26	1	no	—
1310	C₄×Q₈	—	26	1	no	—
1311	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1312	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1313	C₄×D₄	—	2	1	no	—
1314	C₄×D₄	—	2	1	no	—
1315	C₄×D₄	—	13	1	no	—
1316	C₄×D₄	—	13	1	no	—
1317	C₄×D₄	—	13	1	no	—
1318	C₄×D₄	—	13	1	no	—
1319	C₄×D₄	—	13	1	no	—
1320	C₄×D₄	—	13	1	no	—
1321	C₄×D₄	—	13	1	no	—
1322	C₄×D₄	—	26	1	no	—
1323	C₄×D₄	—	26	1	no	—
1324	C₄×D₄	—	26	1	no	—
1325	C₄×D₄	—	26	1	no	—
1326	C₄×D₄	—	26	1	no	—
1327	C₄×D₄	—	26	1	no	—
1328	C₄×D₄	—	26	1	no	—
1329	C₄×D₄	—	26	1	no	—
1330	C₄×D₄	—	26	1	no	—
1331	C₄×D₄	—	26	1	no	—
1332	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1333	#117	—	13	1	no	—
1334	#117	—	13	1	no	—
1335	#117	—	13	1	no	—
1336	#117	—	13	1	no	—
1337	#117	—	13	1	no	—
1338	#117	—	26	1	no	—
1339	#117	—	26	1	no	—
1340	#117	—	26	1	no	—
1341	C₂×C₄⋊C₄	—	13	1	no	—
1342	C₂×C₄⋊C₄	—	26	1	no	—
1343	C₂×C₄⋊C₄	—	26	1	no	—
1344	C₂×C₄⋊C₄	—	26	1	no	—
1345	C₂×C₄⋊C₄	—	26	1	no	—
1346	C₂×C₂²⋊C₄	—	26	1	no	—
1347	C₂×C₂²⋊C₄	—	26	1	no	—
1348	C₂×C₂²⋊C₄	—	26	1	no	—
1349	C₂×C₂²⋊C₄	—	26	1	no	—
1350	C₂×C₂²⋊C₄	—	26	1	no	—
1351	#107	—	13	1	no	—
1352	#107	—	13	1	no	—
1353	#107	—	13	1	no	—
1354	#107	—	13	1	no	—
1355	#106	—	13	1	no	—
1356	#106	—	13	1	no	—
1357	#106	—	13	1	no	—
1358	#106	C₂²×D₁₃	1	1	yes	characteristic
1359	C₄⋊C₈	—	13	1	no	—
1360	C₄⋊C₈	—	13	1	no	—
1361	C₄⋊C₈	—	13	1	no	—
1362	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1363	#103	—	13	1	no	—
1364	#103	—	13	1	no	—
1365	#103	—	13	1	no	—
1366	#103	—	13	1	no	—
1367	#103	—	13	1	no	—
1368	#103	—	13	1	no	—
1369	#103	—	13	1	no	—
1370	#103	—	13	1	no	—
1371	#103	—	13	1	no	—
1372	#103	—	13	1	no	—
1373	#103	—	13	1	no	—
1374	#103	—	13	1	no	—
1375	#103	—	13	1	no	—
1376	#103	—	13	1	no	—
1377	#103	—	13	1	no	—
1378	#103	C₂²×D₁₃	1	1	yes	characteristic
1379	#103	C₂²×D₁₃	1	1	yes	characteristic
1380	#103	C₂²×D₁₃	1	1	yes	characteristic
1381	#103	C₂²×D₁₃	1	1	yes	characteristic
1382	#103	C₂²×D₁₃	1	1	yes	characteristic
1383	#102	—	13	1	no	—
1384	#102	—	13	1	no	—
1385	#102	—	13	1	no	—
1386	#102	—	13	1	no	—
1387	#102	—	13	1	no	—
1388	#102	—	13	1	no	—
1389	#102	—	13	1	no	—
1390	#102	—	13	1	no	—
1391	#102	—	13	1	no	—
1392	#102	—	13	1	no	—
1393	#102	—	13	1	no	—
1394	#102	C₂²×D₁₃	1	1	yes	characteristic
1395	C₂²⋊C₈	—	13	1	no	—
1396	C₂²⋊C₈	—	13	1	no	—
1397	C₂²⋊C₈	—	13	1	no	—
1398	C₂²⋊C₈	—	13	1	no	—
1399	C₂²⋊C₈	—	13	1	no	—
1400	C₂²⋊C₈	—	13	1	no	—
1401	C₂²⋊C₈	—	13	1	no	—
1402	C₂²⋊C₈	—	13	1	no	—
1403	C₂²⋊C₈	—	13	1	no	—
1404	C₂²⋊C₈	—	13	1	no	—
1405	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1406	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1407	#97	—	13	1	no	—
1408	#97	C₂²×D₁₃	1	1	yes	characteristic
1409	C₄×C₈	—	13	1	no	—
1410	C₄×C₈	—	13	1	no	—
1411	C₂×C₁₃	—	4	1	no	—
1412	C₂×C₁₃	—	4	1	no	—
1413	C₂×C₁₃	—	8	1	no	—
1414	C₂×C₁₃	#3484	1	1	yes	characteristic
1415	C₂×C₁₃	#3584	1	1	yes	characteristic
1416	C₂×C₁₃	#3586	1	1	yes	characteristic
1417	D₁₃	—	4	1	no	—
1418	D₁₃	—	4	1	no	—
1419	D₁₃	—	4	1	no	—
1420	D₁₃	—	4	2	no	—
1421	D₁₃	—	8	1	no	—
1422	D₁₃	—	8	1	no	—
1423	C₂⁴	—	13	1	no	—
1424	C₂⁴	—	26	1	no	—
1425	C₂⁴	—	26	1	no	—
1426	#41	—	4	1	no	—
1427	#41	—	4	1	no	—
1428	#41	—	26	2	no	—
1429	#41	—	26	2	no	—
1430	#41	—	26	2	no	—
1431	#41	—	26	2	no	—
1432	#41	—	26	2	no	—
1433	#41	—	26	2	no	—
1434	#41	—	52	1	no	—
1435	#41	—	52	1	no	—
1436	#41	—	52	1	no	—
1437	#41	—	52	4	no	—
1438	#41	—	52	4	no	—
1439	#41	—	52	1	no	—
1440	#41	—	52	1	no	—
1441	#41	—	52	1	no	—
1442	#41	—	52	1	no	—
1443	#41	—	52	1	no	—
1444	#41	—	52	4	no	—
1445	#41	—	52	1	no	—
1446	#41	—	52	1	no	—
1447	#41	—	52	4	no	—
1448	#41	—	52	4	no	—
1449	C₂×Q₈	—	2	1	no	—
1450	C₂×Q₈	—	2	1	no	—
1451	C₂×Q₈	—	2	1	no	—
1452	C₂×Q₈	—	2	2	no	—
1453	C₂×Q₈	—	2	2	no	—
1454	C₂×Q₈	—	4	1	no	—
1455	C₂×Q₈	—	4	1	no	—
1456	C₂×Q₈	—	4	1	no	—
1457	C₂×Q₈	—	4	1	no	—
1458	C₂×Q₈	—	13	1	no	—
1459	C₂×Q₈	—	13	1	no	—
1460	C₂×Q₈	—	26	1	no	—
1461	C₂×Q₈	—	26	1	no	—
1462	C₂×Q₈	—	26	1	no	—
1463	C₂×Q₈	—	26	1	no	—
1464	C₂×Q₈	—	26	2	no	—
1465	C₂×Q₈	—	52	1	no	—
1466	C₂×Q₈	—	52	1	no	—
1467	C₂×Q₈	—	52	1	no	—
1468	C₂×Q₈	—	52	4	no	—
1469	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1470	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1471	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1472	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1473	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1474	C₂×D₄	—	2	1	no	—
1475	C₂×D₄	—	2	1	no	—
1476	C₂×D₄	—	13	1	no	—
1477	C₂×D₄	—	13	1	no	—
1478	C₂×D₄	—	13	1	no	—
1479	C₂×D₄	—	13	1	no	—
1480	C₂×D₄	—	13	1	no	—
1481	C₂×D₄	—	13	1	no	—
1482	C₂×D₄	—	13	1	no	—
1483	C₂×D₄	—	13	1	no	—
1484	C₂×D₄	—	13	1	no	—
1485	C₂×D₄	—	26	2	no	—
1486	C₂×D₄	—	26	1	no	—
1487	C₂×D₄	—	26	1	no	—
1488	C₂×D₄	—	26	1	no	—
1489	C₂×D₄	—	26	1	no	—
1490	C₂×D₄	—	26	1	no	—
1491	C₂×D₄	—	26	1	no	—
1492	C₂×D₄	—	26	1	no	—
1493	C₂×D₄	—	26	1	no	—
1494	C₂×D₄	—	26	1	no	—
1495	C₂×D₄	—	26	1	no	—
1496	C₂×D₄	—	26	1	no	—
1497	C₂×D₄	—	26	1	no	—
1498	C₂×D₄	—	26	1	no	—
1499	C₂×D₄	—	26	1	no	—
1500	C₂×D₄	—	26	1	no	—
1501	C₂×D₄	—	26	1	no	—
1502	C₂×D₄	—	52	1	no	—
1503	C₂×D₄	—	52	4	no	—
1504	C₂×D₄	—	52	1	no	—
1505	C₂×D₄	—	52	1	no	—
1506	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1507	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1508	C₂²×C₄	—	2	1	no	—
1509	C₂²×C₄	—	2	1	no	—
1510	C₂²×C₄	—	2	1	no	—
1511	C₂²×C₄	—	2	1	no	—
1512	C₂²×C₄	—	13	1	no	—
1513	C₂²×C₄	—	13	1	no	—
1514	C₂²×C₄	—	13	1	no	—
1515	C₂²×C₄	—	13	1	no	—
1516	C₂²×C₄	—	13	1	no	—
1517	C₂²×C₄	—	13	1	no	—
1518	C₂²×C₄	—	26	1	no	—
1519	C₂²×C₄	—	26	1	no	—
1520	C₂²×C₄	—	26	1	no	—
1521	C₂²×C₄	—	26	1	no	—
1522	C₂²×C₄	—	26	1	no	—
1523	C₂²×C₄	—	26	1	no	—
1524	C₂²×C₄	—	26	1	no	—
1525	C₂²×C₄	—	26	1	no	—
1526	C₂²×C₄	—	26	1	no	—
1527	C₂²×C₄	—	26	1	no	—
1528	C₂²×C₄	—	26	1	no	—
1529	C₂²×C₄	—	26	1	no	—
1530	C₂²×C₄	—	26	1	no	—
1531	C₂²×C₄	—	26	1	no	—
1532	C₂²×C₄	—	52	1	no	—
1533	C₂²×C₄	—	52	1	no	—
1534	C₂²×C₄	—	52	4	no	—
1535	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1536	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1537	Q₁₆	—	2	2	no	—
1538	Q₁₆	—	2	2	no	—
1539	Q₁₆	—	4	1	no	—
1540	Q₁₆	—	4	1	no	—
1541	Q₁₆	—	4	1	no	—
1542	Q₁₆	—	4	1	no	—
1543	Q₁₆	—	52	1	no	—
1544	Q₁₆	—	52	1	no	—
1545	SD₁₆	—	2	2	no	—
1546	SD₁₆	—	4	1	no	—
1547	SD₁₆	—	4	1	no	—
1548	SD₁₆	—	26	2	no	—
1549	SD₁₆	—	26	2	no	—
1550	SD₁₆	—	26	2	no	—
1551	SD₁₆	—	52	1	no	—
1552	SD₁₆	—	52	1	no	—
1553	SD₁₆	—	52	1	no	—
1554	SD₁₆	—	52	1	no	—
1555	SD₁₆	—	52	1	no	—
1556	SD₁₆	—	52	1	no	—
1557	D₈	—	26	2	no	—
1558	D₈	—	26	2	no	—
1559	D₈	—	52	1	no	—
1560	D₈	—	52	1	no	—
1561	M₁₆	—	4	1	no	—
1562	M₁₆	—	52	1	no	—
1563	M₁₆	—	52	1	no	—
1564	M₁₆	—	52	1	no	—
1565	C₂×C₈	—	4	1	no	—
1566	C₂×C₈	—	13	1	no	—
1567	C₂×C₈	—	13	1	no	—
1568	C₂×C₈	—	13	1	no	—
1569	C₂×C₈	—	13	1	no	—
1570	C₂×C₈	—	52	1	no	—
1571	C₂×C₈	—	52	1	no	—
1572	C₂×C₈	—	52	1	no	—
1573	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1574	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1575	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1576	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1577	C₄⋊C₄	—	2	1	no	—
1578	C₄⋊C₄	—	2	1	no	—
1579	C₄⋊C₄	—	2	1	no	—
1580	C₄⋊C₄	—	2	1	no	—
1581	C₄⋊C₄	—	2	1	no	—
1582	C₄⋊C₄	—	2	1	no	—
1583	C₄⋊C₄	—	2	1	no	—
1584	C₄⋊C₄	—	13	1	no	—
1585	C₄⋊C₄	—	13	1	no	—
1586	C₄⋊C₄	—	13	1	no	—
1587	C₄⋊C₄	—	13	1	no	—
1588	C₄⋊C₄	—	13	1	no	—
1589	C₄⋊C₄	—	13	1	no	—
1590	C₄⋊C₄	—	13	1	no	—
1591	C₄⋊C₄	—	13	1	no	—
1592	C₄⋊C₄	—	13	1	no	—
1593	C₄⋊C₄	—	26	1	no	—
1594	C₄⋊C₄	—	26	1	no	—
1595	C₄⋊C₄	—	26	1	no	—
1596	C₄⋊C₄	—	26	1	no	—
1597	C₄⋊C₄	—	26	1	no	—
1598	C₄⋊C₄	—	26	1	no	—
1599	C₄⋊C₄	—	26	1	no	—
1600	C₄⋊C₄	—	26	1	no	—
1601	C₄⋊C₄	—	26	1	no	—
1602	C₄⋊C₄	—	26	1	no	—
1603	C₄⋊C₄	—	26	1	no	—
1604	C₄⋊C₄	—	26	1	no	—
1605	C₄⋊C₄	—	26	1	no	—
1606	C₄⋊C₄	—	26	1	no	—
1607	C₄⋊C₄	—	26	1	no	—
1608	C₄⋊C₄	—	26	1	no	—
1609	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1610	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1611	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	2	1	no	—
1615	C₂²⋊C₄	—	2	1	no	—
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	13	1	no	—
1619	C₂²⋊C₄	—	13	1	no	—
1620	C₂²⋊C₄	—	13	1	no	—
1621	C₂²⋊C₄	—	13	1	no	—
1622	C₂²⋊C₄	—	13	1	no	—
1623	C₂²⋊C₄	—	13	1	no	—
1624	C₂²⋊C₄	—	13	1	no	—
1625	C₂²⋊C₄	—	13	1	no	—
1626	C₂²⋊C₄	—	26	1	no	—
1627	C₂²⋊C₄	—	26	1	no	—
1628	C₂²⋊C₄	—	26	1	no	—
1629	C₂²⋊C₄	—	26	1	no	—
1630	C₂²⋊C₄	—	26	1	no	—
1631	C₂²⋊C₄	—	26	1	no	—
1632	C₂²⋊C₄	—	26	1	no	—
1633	C₂²⋊C₄	—	26	1	no	—
1634	C₂²⋊C₄	—	26	1	no	—
1635	C₂²⋊C₄	—	26	1	no	—
1636	C₂²⋊C₄	—	26	1	no	—
1637	C₂²⋊C₄	—	26	1	no	—
1638	C₂²⋊C₄	—	26	1	no	—
1639	C₂²⋊C₄	—	26	1	no	—
1640	C₂²⋊C₄	—	26	1	no	—
1641	C₂²⋊C₄	—	26	1	no	—
1642	C₂²⋊C₄	—	26	1	no	—
1643	C₂²⋊C₄	—	26	1	no	—
1644	C₂²⋊C₄	—	26	1	no	—
1645	C₂²⋊C₄	—	26	1	no	—
1646	C₂²⋊C₄	—	26	1	no	—
1647	C₂²⋊C₄	—	26	1	no	—
1648	C₂²⋊C₄	—	26	1	no	—
1649	C₂²⋊C₄	—	26	1	no	—
1650	C₂²⋊C₄	—	26	1	no	—
1651	C₂²⋊C₄	—	26	1	no	—
1652	C₂²⋊C₄	—	26	1	no	—
1653	C₂²⋊C₄	—	26	1	no	—
1654	C₂²⋊C₄	—	26	1	no	—
1655	C₂²⋊C₄	—	26	1	no	—
1656	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1657	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1658	C₄²	—	2	1	no	—
1659	C₄²	—	2	1	no	—
1660	C₄²	—	13	1	no	—
1661	C₄²	—	26	1	no	—
1662	C₄²	—	26	1	no	—
1663	C₄²	—	26	1	no	—
1664	C₄²	—	26	1	no	—
1665	C₄²	—	26	1	no	—
1666	C₄²	—	26	1	no	—
1667	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1668	C₁₃	#61627	1	1	yes	characteristic, complemented, Sylow
1669	C₂³	—	2	1	no	—
1670	C₂³	—	13	1	no	—
1671	C₂³	—	13	1	no	—
1672	C₂³	—	13	1	no	—
1673	C₂³	—	26	1	no	—
1674	C₂³	—	26	1	no	—
1675	C₂³	—	26	1	no	—
1676	C₂³	—	52	1	no	—
1677	C₂³	—	52	1	no	—
1678	C₂³	—	52	1	no	—
1679	C₂³	—	52	2	no	—
1680	C₂³	—	52	2	no	—
1681	C₂³	—	104	1	no	—
1682	C₂³	—	104	1	no	—
1683	C₂³	—	104	1	no	—
1684	C₂³	—	104	1	no	—
1685	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1686	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1687	Q₈	—	2	1	no	—
1688	Q₈	—	2	1	no	—
1689	Q₈	—	2	1	no	—
1690	Q₈	—	2	1	no	—
1691	Q₈	—	2	1	no	—
1692	Q₈	—	2	1	no	—
1693	Q₈	—	2	1	no	—
1694	Q₈	—	2	1	no	—
1695	Q₈	—	2	1	no	—
1696	Q₈	—	4	2	no	—
1697	Q₈	—	4	2	no	—
1698	Q₈	—	8	1	no	—
1699	Q₈	—	26	1	no	—
1700	Q₈	—	26	1	no	—
1701	Q₈	—	52	1	no	—
1702	Q₈	—	52	2	no	—
1703	Q₈	—	52	2	no	—
1704	Q₈	—	104	1	no	—
1705	Q₈	—	104	1	no	—
1706	Q₈	#88251	1	2	yes	—
1707	D₄	—	2	1	no	—
1708	D₄	—	2	1	no	—
1709	D₄	—	4	1	no	—
1710	D₄	—	8	1	no	—
1711	D₄	—	8	1	no	—
1712	D₄	—	13	2	no	—
1713	D₄	—	26	4	no	—
1714	D₄	—	26	1	no	—
1715	D₄	—	26	1	no	—
1716	D₄	—	26	1	no	—
1717	D₄	—	26	1	no	—
1718	D₄	—	26	1	no	—
1719	D₄	—	52	1	no	—
1720	D₄	—	52	1	no	—
1721	D₄	—	52	2	no	—
1722	D₄	—	52	2	no	—
1723	D₄	—	52	2	no	—
1724	D₄	—	52	2	no	—
1725	D₄	—	52	2	no	—
1726	D₄	—	52	1	no	—
1727	D₄	—	52	1	no	—
1728	D₄	—	52	1	no	—
1729	D₄	—	52	1	no	—
1730	D₄	—	52	2	no	—
1731	D₄	—	104	1	no	—
1732	D₄	—	104	1	no	—
1733	D₄	—	104	1	no	—
1734	D₄	—	104	1	no	—
1735	D₄	—	104	1	no	—
1736	D₄	—	104	1	no	—
1737	D₄	—	104	1	no	—
1738	D₄	—	104	1	no	—
1739	D₄	—	104	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	4	2	no	—
1752	C₂×C₄	—	4	2	no	—
1753	C₂×C₄	—	8	1	no	—
1754	C₂×C₄	—	8	1	no	—
1755	C₂×C₄	—	13	1	no	—
1756	C₂×C₄	—	13	1	no	—
1757	C₂×C₄	—	13	1	no	—
1758	C₂×C₄	—	13	1	no	—
1759	C₂×C₄	—	13	1	no	—
1760	C₂×C₄	—	26	4	no	—
1761	C₂×C₄	—	26	1	no	—
1762	C₂×C₄	—	26	1	no	—
1763	C₂×C₄	—	26	1	no	—
1764	C₂×C₄	—	26	1	no	—
1765	C₂×C₄	—	26	1	no	—
1766	C₂×C₄	—	26	1	no	—
1767	C₂×C₄	—	26	1	no	—
1768	C₂×C₄	—	26	1	no	—
1769	C₂×C₄	—	26	1	no	—
1770	C₂×C₄	—	26	1	no	—
1771	C₂×C₄	—	26	1	no	—
1772	C₂×C₄	—	52	1	no	—
1773	C₂×C₄	—	52	1	no	—
1774	C₂×C₄	—	52	2	no	—
1775	C₂×C₄	—	52	2	no	—
1776	C₂×C₄	—	52	2	no	—
1777	C₂×C₄	—	52	2	no	—
1778	C₂×C₄	—	52	2	no	—
1779	C₂×C₄	—	52	2	no	—
1780	C₂×C₄	—	52	2	no	—
1781	C₂×C₄	—	52	1	no	—
1782	C₂×C₄	—	104	1	no	—
1783	C₂×C₄	—	104	1	no	—
1784	C₂×C₄	—	104	1	no	—
1785	C₂×C₄	—	104	1	no	—
1786	C₂×C₄	—	104	1	no	—
1787	C₂×C₄	—	104	1	no	—
1788	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1789	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1790	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1791	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1792	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	2	1	no	—
1796	C₈	—	2	1	no	—
1797	C₈	—	26	1	no	—
1798	C₈	—	26	1	no	—
1799	C₈	—	26	1	no	—
1800	C₈	—	26	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	26	2	no	—
1811	C₂²	—	26	1	no	—
1812	C₂²	—	26	1	no	—
1813	C₂²	—	26	1	no	—
1814	C₂²	—	26	1	no	—
1815	C₂²	—	26	1	no	—
1816	C₂²	—	26	1	no	—
1817	C₂²	—	26	1	no	—
1818	C₂²	—	26	1	no	—
1819	C₂²	—	26	1	no	—
1820	C₂²	—	52	1	no	—
1821	C₂²	—	52	1	no	—
1822	C₂²	—	52	1	no	—
1823	C₂²	—	52	1	no	—
1824	C₂²	—	52	1	no	—
1825	C₂²	—	52	1	no	—
1826	C₂²	—	52	1	no	—
1827	C₂²	—	52	1	no	—
1828	C₂²	—	104	2	no	—
1829	C₂²	—	104	4	no	—
1830	C₂²	—	208	2	no	—
1831	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1832	C₄	—	2	1	no	—
1833	C₄	—	2	1	no	—
1834	C₄	—	2	2	no	—
1835	C₄	—	2	1	no	—
1836	C₄	—	2	1	no	—
1837	C₄	—	4	1	no	—
1838	C₄	—	4	1	no	—
1839	C₄	—	4	1	no	—
1840	C₄	—	4	1	no	—
1841	C₄	—	4	1	no	—
1842	C₄	—	4	1	no	—
1843	C₄	—	26	1	no	—
1844	C₄	—	26	1	no	—
1845	C₄	—	26	1	no	—
1846	C₄	—	26	1	no	—
1847	C₄	—	26	1	no	—
1848	C₄	—	52	1	no	—
1849	C₄	—	52	1	no	—
1850	C₄	—	52	1	no	—
1851	C₄	—	52	1	no	—
1852	C₄	—	52	1	no	—
1853	C₄	C₂×#88251	1	1	yes	characteristic
1854	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1855	C₂	—	4	1	no	—
1856	C₂	—	4	1	no	—
1857	C₂	—	8	1	no	—
1858	C₂	—	52	1	no	—
1859	C₂	—	52	1	no	—
1860	C₂	—	52	1	no	—
1861	C₂	—	52	2	no	—
1862	C₂	—	104	1	no	—
1863	C₂	—	104	1	no	—
1864	C₂	#13128464	1	1	yes	characteristic
1865	C₂	#13129606	1	1	yes	characteristic
1866	C₂	#13129619	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×#3270	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3270	D₁₃
hypocenter	C₁₃	#61627
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3270

Complements

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

N	H ≅ G/N	type
1. #13129110	C₂	semidirect
2. #13128513	C₂	semidirect
3. #13127130	C₂	semidirect
4. #13127112	C₂	semidirect
5. #13127015	C₂	semidirect
6. #13126994	C₂	semidirect
7. #13126907	C₂	semidirect
8. #13126867	C₂	semidirect
9. #13126759	C₂	semidirect
10. #13126756	C₂	semidirect
11. #13126577	C₂	semidirect
12. #13126538	C₂	semidirect
13. #13126468	C₂	semidirect
14. #13126440	C₂	semidirect
15. #13126394	C₂	semidirect
16. #13126360	C₂	semidirect
17. #13126340	C₂	semidirect
18. #13125952	C₂	semidirect
19. #13125940	C₂	semidirect
20. #13125722	C₂	semidirect
21. #13125691	C₂	semidirect
22. #13125667	C₂	semidirect
23. #13125615	C₂	semidirect
24. #13125111	C₂	semidirect
25. #13125097	C₂	semidirect
26. #13124127	C₂	semidirect
27. #13124117	C₂	semidirect
28. #13124077	C₂	semidirect
29. #13124059	C₂	semidirect
30. #13123883	C₂	semidirect
31. C₁₃×#3270	C₂	semidirect
33. C₂²×#6131	C₂²	semidirect
35. C₂²×C₁₃×Q₁₆	C₂²	semidirect
36. D₄×Q₈×C₁₃	C₂²	semidirect
41. #11719522	C₂²	semidirect
42. #11719522	C₂²	semidirect
43. #11719521	C₂²	semidirect
45. C₂×#88196	C₂²	semidirect
48. C₂×#88168	C₂²	semidirect
49. C₂×SD₁₆×D₁₃	C₂²	semidirect
53. #11719429	C₂²	semidirect
55. #11719387	C₂²	semidirect
56. #11719381	C₂²	semidirect
62. #11719336	C₂²	semidirect
69. D₁₃×C₂²⋊Q₈	C₂²	semidirect
71. #11719321	C₂²	semidirect
73. #11719312	C₂²	semidirect
74. #11719289	C₂²	semidirect
75. #11719287	C₂²	semidirect
77. #11719279	C₂²	semidirect
82. #11719255	C₂²	semidirect
85. C₁₃×#497	C₂²	semidirect
86. C₁₃×#470	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
89. C₁₃×#462	C₂²	semidirect
91. C₁₃×#451	C₂²	semidirect
92. C₁₃×#451	C₂²	semidirect
93. C₁₃×#448	C₂²	semidirect
94. C₁₃×#441	C₂²	semidirect
95. C₁₃×#435	C₂²	semidirect
98. #11718888	C₂²	semidirect
99. #11718888	C₂²	semidirect
100. #11718886	C₂²	semidirect
101. #11718886	C₂²	semidirect
102. #11718852	C₂²	semidirect
103. #11718851	C₂²	semidirect
104. #11718850	C₂²	semidirect
105. #11718849	C₂²	semidirect
106. #11718849	C₂²	semidirect
107. #11718848	C₂²	semidirect
108. #11718848	C₂²	semidirect
109. #11718848	C₂²	semidirect
110. #11718848	C₂²	semidirect
111. #11718848	C₂²	semidirect
112. #11718848	C₂²	semidirect
113. #11718848	C₂²	semidirect
114. #11718848	C₂²	semidirect
115. #11718848	C₂²	semidirect
116. #11718847	C₂²	semidirect
117. #11718847	C₂²	semidirect
118. #11718847	C₂²	semidirect
119. #11718847	C₂²	semidirect
120. #11718846	C₂²	semidirect
121. #11718846	C₂²	semidirect
122. Q₁₆×Dic₁₃	C₂²	semidirect
123. #11718843	C₂²	semidirect
128. #11718832	C₂²	semidirect
129. #11718831	C₂²	semidirect
130. #11718830	C₂²	semidirect
131. #11718826	C₂²	semidirect
132. #11718825	C₂²	semidirect
133. #11718823	C₂²	semidirect
135. #11718792	C₂²	semidirect
137. #11718787	C₂²	semidirect
138. #11718776	C₂²	semidirect
139. #11718774	C₂²	semidirect
140. #11718771	C₂²	semidirect
141. C₈×C₂²⋊D₁₃	C₂²	semidirect
142. #11718744	C₂²	semidirect
143. #11718742	C₂²	semidirect
144. #11718720	C₂²	semidirect
145. #11718718	C₂²	semidirect
146. #11718713	C₂²	semidirect
148. #11718710	C₂²	semidirect
149. #11718707	C₂²	semidirect
150. #11718706	C₂²	semidirect
151. #11718706	C₂²	semidirect
152. #11718700	C₂²	semidirect
153. #11718698	C₂²	semidirect
154. #11718689	C₂²	semidirect
155. C₄×#6106	C₂²	semidirect
156. C₄×#6106	C₂²	semidirect
157. #11718682	C₂²	semidirect
158. #11718673	C₂²	semidirect
159. #11718531	C₂²	semidirect
160. #11718528	C₂²	semidirect
161. #11718527	C₂²	semidirect
162. #11718524	C₂²	semidirect
163. #11718507	C₂²	semidirect
164. #11718505	C₂²	semidirect
165. #11718501	C₂²	semidirect
166. #11718495	C₂²	semidirect
167. #11718480	C₂²	semidirect
168. #11718478	C₂²	semidirect
169. #11718475	C₂²	semidirect
170. #11718475	C₂²	semidirect
171. #11718474	C₂²	semidirect
172. #11718473	C₂²	semidirect
175. #11718471	C₂²	semidirect
176. #11718470	C₂²	semidirect
177. #11718468	C₂²	semidirect
178. #11718467	C₂²	semidirect
179. #11718466	C₂²	semidirect
180. #11718465	C₂²	semidirect
181. #11718465	C₂²	semidirect
182. #11718465	C₂²	semidirect
183. #11718463	C₂²	semidirect
184. #11718456	C₂²	semidirect
185. #11718453	C₂²	semidirect
186. #11718452	C₂²	semidirect
187. #11718439	C₂²	semidirect
188. #11718435	C₂²	semidirect
189. #11718434	C₂²	semidirect
190. #11718417	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718395	C₂²	semidirect
195. #11718389	C₂²	semidirect
196. #11718388	C₂²	semidirect
197. D₁₃×C₂²⋊C₈	C₂²	semidirect
198. #11718384	C₂²	semidirect
199. #11718375	C₂²	semidirect
200. #11718372	C₂²	semidirect
201. #11718370	C₂²	semidirect
202. #11718367	C₂²	semidirect
750. #3270	D₁₃	semidirect
907. C₂²×Q₁₆	C₂×D₁₃	semidirect
918. D₄×Q₈	C₂×D₁₃	semidirect
953. #497	C₂×D₁₃	semidirect
978. #470	C₂×D₁₃	semidirect
991. #465	C₂×D₁₃	semidirect
995. #464	C₂×D₁₃	semidirect
1001. #462	C₂×D₁₃	semidirect
1020. #451	C₂×D₁₃	semidirect
1021. #451	C₂×D₁₃	semidirect
1037. #448	C₂×D₁₃	semidirect
1041. #441	C₂×D₁₃	semidirect
1053. #435	C₂×D₁₃	semidirect
1668. C₁₃	#61627	semidirect

Maximal subgroups

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

subgroup	index
#13129110	2
#13128513	2
#13127130	2
#13127112	2
#13127015	2
#13126994	2
#13126907	2
#13126867	2
#13126759	2
#13126756	2
#13126577	2
#13126538	2
#13126468	2
#13126440	2
#13126394	2
#13126360	2
#13126340	2
#13125952	2
#13125940	2
#13125722	2
#13125691	2
#13125667	2
#13125615	2
#13125111	2
#13125097	2
#13124127	2
#13124117	2
#13124077	2
#13124059	2
#13123883	2
C₁₃×#3270	2
#61627	13