Subgroups — #16749503

Order 3328.

2032 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129119	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128507	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127145	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127114	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127096	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127052	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126953	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126889	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126865	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126817	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126486	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126485	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126478	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126467	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126405	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126404	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126391	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125942	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125914	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125745	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125711	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125664	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125656	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125117	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125047	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124147	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124128	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124091	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124075	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123895	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3267	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88257	C₂²	1	1	yes	characteristic
33	C₂²×#6129	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#547	C₂²	1	1	yes	characteristic
37	C₁₃×#546	C₂²	1	1	yes	characteristic
38	#11719538	C₂²	1	1	yes	characteristic, complemented
39	#11719536	C₂²	1	1	yes	characteristic
40	#11719536	C₂²	1	1	yes	characteristic, complemented
41	#11719533	C₂²	1	1	yes	characteristic
42	#11719529	C₂²	1	1	yes	characteristic
43	C₂×#88205	C₂²	1	1	yes	characteristic
44	C₂×#88205	C₂²	1	1	yes	characteristic, complemented
45	#11719511	C₂²	1	1	yes	characteristic
46	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88169	C₂²	1	1	yes	characteristic
48	C₂×#88169	C₂²	1	1	yes	characteristic
49	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
50	#11719436	C₂²	1	1	yes	characteristic, complemented
51	#11719432	C₂²	1	1	yes	characteristic, complemented
52	#11719382	C₂²	1	1	yes	characteristic
53	#11719380	C₂²	1	1	yes	characteristic
54	#11719367	—	2	1	no	—
55	#11719366	—	2	1	no	—
56	#11719362	—	2	1	no	—
57	#11719360	—	2	1	no	—
58	#11719356	—	2	1	no	—
59	#11719353	—	2	1	no	—
60	#11719346	C₂²	1	1	yes	characteristic
61	#11719340	C₂²	1	1	yes	characteristic, complemented
62	#11719337	C₂²	1	1	yes	characteristic
63	#11719333	C₂²	1	1	yes	characteristic, complemented
64	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
65	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
66	#11719326	—	2	1	no	—
67	#11719318	—	2	1	no	—
68	#11719316	—	2	1	no	—
69	#11719313	C₂²	1	1	yes	characteristic
70	#11719303	C₂²	1	1	yes	characteristic
71	#11719302	—	2	1	no	—
72	#11719296	—	2	1	no	—
73	#11719291	—	2	1	no	—
74	#11719266	C₂²	1	1	yes	characteristic, complemented
75	#11719263	C₂²	1	1	yes	characteristic, complemented
76	#11719260	C₂²	1	1	yes	characteristic
77	#11719252	C₂²	1	1	yes	characteristic
78	#11719251	C₂²	1	1	yes	characteristic
79	#11719246	C₂²	1	1	yes	characteristic
80	D₄×Dic₂₆	C₂²	1	1	yes	characteristic
81	#11719220	—	2	1	no	—
82	#11719216	—	2	1	no	—
83	#11719195	—	2	1	no	—
84	C₂×#88132	—	2	1	no	—
85	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#470	C₂²	1	1	yes	characteristic
87	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#452	C₂²	1	1	yes	characteristic
91	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#450	C₂²	1	1	yes	characteristic
93	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#435	C₂²	1	1	yes	characteristic
96	#11718900	C₂²	1	1	yes	characteristic
97	#11718900	C₂²	1	1	yes	characteristic, complemented
98	#11718900	C₂²	1	1	yes	characteristic, complemented
99	#11718893	C₂²	1	1	yes	characteristic, complemented
100	#11718879	C₂²	1	1	yes	characteristic
101	#11718876	C₂²	1	1	yes	characteristic
102	#11718850	C₂²	1	1	yes	characteristic, complemented
103	#11718847	C₂²	1	1	yes	characteristic, complemented
104	#11718847	C₂²	1	1	yes	characteristic, complemented
105	#11718847	C₂²	1	1	yes	characteristic, complemented
106	#11718847	C₂²	1	1	yes	characteristic, complemented
107	#11718843	C₂²	1	1	yes	characteristic, complemented
108	#11718843	C₂²	1	1	yes	characteristic, complemented
109	#11718835	C₂²	1	1	yes	characteristic, complemented
110	#11718834	C₂²	1	1	yes	characteristic
111	#11718834	C₂²	1	1	yes	characteristic
112	#11718834	C₂²	1	1	yes	characteristic
113	#11718834	C₂²	1	1	yes	characteristic
114	#11718834	C₂²	1	1	yes	characteristic
115	#11718834	C₂²	1	1	yes	characteristic
116	#11718834	C₂²	1	1	yes	characteristic, complemented
117	#11718832	C₂²	1	1	yes	characteristic, complemented
118	#11718831	C₂²	1	1	yes	characteristic, complemented
119	#11718831	C₂²	1	1	yes	characteristic, complemented
120	#11718831	C₂²	1	1	yes	characteristic, complemented
121	#11718828	C₂²	1	1	yes	characteristic, complemented
122	#11718827	C₂²	1	1	yes	characteristic, complemented
123	#11718827	C₂²	1	1	yes	characteristic, complemented
124	#11718825	C₂²	1	1	yes	characteristic, complemented
125	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
126	#11718820	C₂²	1	1	yes	characteristic, complemented
127	#11718819	C₂²	1	1	yes	characteristic
128	#11718819	C₂²	1	1	yes	characteristic
129	#11718819	C₂²	1	1	yes	characteristic
130	#11718819	C₂²	1	1	yes	characteristic
131	#11718819	C₂²	1	1	yes	characteristic, complemented
132	#11718816	C₂²	1	1	yes	characteristic, complemented
133	#11718814	C₂²	1	1	yes	characteristic, complemented
134	#11718798	C₂²	1	1	yes	characteristic
135	#11718789	C₂²	1	1	yes	characteristic
136	#11718787	C₂²	1	1	yes	characteristic
137	#11718781	C₂²	1	1	yes	characteristic
138	#11718777	C₂²	1	1	yes	characteristic, complemented
139	#11718772	C₂²	1	1	yes	characteristic, complemented
140	#11718771	C₂²	1	1	yes	characteristic, complemented
141	C₂×#88056	C₂²	1	1	yes	characteristic, complemented
142	#11718753	C₂²	1	1	yes	characteristic, complemented
143	#11718751	C₂²	1	1	yes	characteristic, complemented
144	#11718717	C₂²	1	1	yes	characteristic, complemented
145	#11718715	C₂²	1	1	yes	characteristic, complemented
146	#11718713	C₂²	1	1	yes	characteristic
147	#11718713	C₂²	1	1	yes	characteristic
148	#11718713	C₂²	1	1	yes	characteristic, complemented
149	#11718711	C₂²	1	1	yes	characteristic
150	#11718711	C₂²	1	1	yes	characteristic, complemented
151	#11718706	C₂²	1	1	yes	characteristic
152	#11718703	C₂²	1	1	yes	characteristic, complemented
153	#11718695	C₂²	1	1	yes	characteristic, complemented
154	#11718680	C₂²	1	1	yes	characteristic, complemented
155	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
156	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
157	#11718673	C₂²	1	1	yes	characteristic
158	#11718670	C₂²	1	1	yes	characteristic, complemented
159	#11718528	C₂²	1	1	yes	characteristic, complemented
160	#11718523	C₂²	1	1	yes	characteristic, complemented
161	#11718523	C₂²	1	1	yes	characteristic, complemented
162	#11718515	C₂²	1	1	yes	characteristic, complemented
163	#11718510	C₂²	1	1	yes	characteristic, complemented
164	#11718501	C₂²	1	1	yes	characteristic, complemented
165	#11718499	C₂²	1	1	yes	characteristic, complemented
166	#11718490	C₂²	1	1	yes	characteristic, complemented
167	#11718477	C₂²	1	1	yes	characteristic, complemented
168	#11718477	C₂²	1	1	yes	characteristic, complemented
169	#11718470	C₂²	1	1	yes	characteristic, complemented
170	#11718469	C₂²	1	1	yes	characteristic, complemented
171	#11718469	C₂²	1	1	yes	characteristic, complemented
172	#11718469	C₂²	1	1	yes	characteristic, complemented
173	#11718466	C₂²	1	1	yes	characteristic, complemented
174	#11718466	C₂²	1	1	yes	characteristic, complemented
175	#11718463	C₂²	1	1	yes	characteristic, complemented
176	#11718453	C₂²	1	1	yes	characteristic, complemented
177	#11718451	C₂²	1	1	yes	characteristic, complemented
178	#11718450	C₂²	1	1	yes	characteristic, complemented
179	#11718445	C₂²	1	1	yes	characteristic, complemented
180	#11718444	C₂²	1	1	yes	characteristic
181	#11718444	C₂²	1	1	yes	characteristic
182	#11718441	C₂²	1	1	yes	characteristic, complemented
183	#11718439	C₂²	1	1	yes	characteristic, complemented
184	#11718438	C₂²	1	1	yes	characteristic, complemented
185	#11718433	C₂²	1	1	yes	characteristic, complemented
186	#11718432	C₂²	1	1	yes	characteristic
187	#11718432	C₂²	1	1	yes	characteristic
188	#11718428	C₂²	1	1	yes	characteristic, complemented
189	#11718426	C₂²	1	1	yes	characteristic, complemented
190	#11718422	C₂²	1	1	yes	characteristic, complemented
191	#11718400	C₂²	1	1	yes	characteristic
192	#11718400	C₂²	1	1	yes	characteristic, complemented
193	#11718390	C₂²	1	1	yes	characteristic, complemented
194	#11718389	C₂²	1	1	yes	characteristic
195	#11718388	C₂²	1	1	yes	characteristic, complemented
196	#11718387	C₂²	1	1	yes	characteristic
197	#11718384	C₂²	1	1	yes	characteristic
198	#11718382	C₂²	1	1	yes	characteristic, complemented
199	#11718377	C₂²	1	1	yes	characteristic, complemented
200	#11718370	C₂²	1	1	yes	characteristic, complemented
201	#11718367	C₂²	1	1	yes	characteristic, complemented
202	#11718364	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	C₂³×Dic₁₃	—	2	1	no	—
209	#88257	—	4	2	no	—
210	#88257	—	4	2	no	—
211	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×#6129	—	2	1	no	—
216	C₂×#6129	—	2	1	no	—
217	C₂×#6129	—	2	1	no	—
218	C₂×#6129	—	2	1	no	—
219	C₂×#6129	—	4	2	no	—
220	C₂×#6129	—	4	2	no	—
221	C₂×#6129	C₂³	1	1	yes	characteristic
222	C₂×#6129	C₂³	1	1	yes	characteristic
223	C₂×#6129	C₂³	1	1	yes	characteristic
224	C₂×#6129	C₂³	1	1	yes	characteristic
225	C₂×#6129	C₂³	1	1	yes	characteristic
226	C₂×#6127	—	2	1	no	—
227	C₂×#6127	C₂³	1	1	yes	characteristic
228	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂²×Dic₂₆	—	2	1	no	—
230	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
231	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
232	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
233	C₁₃×#135	—	4	2	no	—
234	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×SD₁₆	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×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×D₈	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	C₂³	1	1	yes	characteristic
246	C₁₃×#124	C₂³	1	1	yes	characteristic
247	C₁₃×#123	—	2	1	no	—
248	C₁₃×#123	—	2	1	no	—
249	C₁₃×#123	—	2	1	no	—
250	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
251	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
252	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
253	C₁₃×#121	—	2	1	no	—
254	C₁₃×#121	—	2	1	no	—
255	C₁₃×#121	C₂³	1	1	yes	characteristic
256	C₁₃×#120	—	2	1	no	—
257	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
261	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
262	#88207	—	2	1	no	—
263	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
264	#88205	—	4	2	no	—
265	#88205	—	4	2	no	—
266	#88200	C₂³	1	1	yes	characteristic
267	#88200	C₂³	1	1	yes	characteristic
268	#88200	C₂³	1	1	yes	characteristic
269	#88200	C₂³	1	1	yes	characteristic
270	#88200	C₂³	1	1	yes	characteristic
271	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
272	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
273	#88198	C₂³	1	1	yes	characteristic
274	C₂×#6107	C₂³	1	1	yes	characteristic
275	C₂×#6107	C₂³	1	1	yes	characteristic
276	C₂×#6107	C₂³	1	1	yes	characteristic
277	C₂×#6107	C₂³	1	1	yes	characteristic
278	C₂×#6107	C₂³	1	1	yes	characteristic
279	C₂×#6107	C₂³	1	1	yes	characteristic
280	C₂×#6107	C₂³	1	1	yes	characteristic
281	#88193	—	2	1	no	—
282	#88193	—	2	1	no	—
283	#88193	—	2	1	no	—
284	#88193	—	2	1	no	—
285	#88193	—	2	1	no	—
286	#88193	—	2	1	no	—
287	#88193	D₄	1	1	yes	characteristic
288	#88192	—	2	1	no	—
289	#88192	—	2	1	no	—
290	#88192	—	2	1	no	—
291	#88192	C₂³	1	1	yes	characteristic
292	#88192	C₂³	1	1	yes	characteristic
293	#88192	C₂³	1	1	yes	characteristic
294	#88192	C₂³	1	1	yes	characteristic
295	#88191	—	2	1	no	—
296	#88191	D₄	1	1	yes	characteristic
297	#88190	—	2	1	no	—
298	#88190	—	2	1	no	—
299	#88190	C₂³	1	1	yes	characteristic
300	#88190	C₂³	1	1	yes	characteristic
301	#88189	—	2	1	no	—
302	#88189	—	2	1	no	—
303	#88189	—	2	1	no	—
304	#88189	—	2	1	no	—
305	D₄×Dic₁₃	—	2	1	no	—
306	D₄×Dic₁₃	—	2	1	no	—
307	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
308	C₂×#6105	C₂³	1	1	yes	characteristic
309	C₂×#6105	C₂³	1	1	yes	characteristic
310	C₂×#6105	C₂³	1	1	yes	characteristic
311	C₂×#6105	C₂³	1	1	yes	characteristic
312	C₂×#6105	C₂³	1	1	yes	characteristic
313	#88184	—	2	1	no	—
314	#88184	—	2	1	no	—
315	#88183	—	2	1	no	—
316	#88183	—	2	1	no	—
317	#88183	—	2	1	no	—
318	C₄×C₂²⋊D₁₃	—	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	#88180	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊Dic₁₃	—	2	1	no	—
328	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
329	#88178	—	2	1	no	—
330	#88178	—	2	1	no	—
331	#88178	—	2	1	no	—
332	#88178	—	2	1	no	—
333	#88178	C₂³	1	1	yes	characteristic
334	#88178	C₂³	1	1	yes	characteristic
335	#88178	C₂³	1	1	yes	characteristic
336	#88178	C₂³	1	1	yes	characteristic
337	C₂×#6101	—	2	1	no	—
338	C₂×#6101	—	2	1	no	—
339	C₂×#6099	C₂³	1	1	yes	characteristic
340	C₂×#6099	C₂³	1	1	yes	characteristic
341	Q₁₆×D₁₃	—	4	2	no	—
342	#88169	—	4	2	no	—
343	#88169	—	4	2	no	—
344	#88169	—	4	2	no	—
345	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
346	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
347	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
348	C₂×#6094	C₂³	1	1	yes	characteristic
349	C₂×#6094	C₂³	1	1	yes	characteristic
350	C₂×#6094	C₂³	1	1	yes	characteristic
351	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
352	#88152	—	2	1	no	—
353	#88152	—	2	1	no	—
354	#88152	—	2	1	no	—
355	#88151	—	2	1	no	—
356	#88151	C₂³	1	1	yes	characteristic
357	#88151	C₂³	1	1	yes	characteristic
358	#88151	C₂³	1	1	yes	characteristic
359	#88150	—	2	1	no	—
360	#88150	—	2	1	no	—
361	#88150	—	2	1	no	—
362	#88150	—	2	1	no	—
363	#88150	—	2	1	no	—
364	#88150	D₄	1	1	yes	characteristic
365	#88148	—	2	1	no	—
366	#88148	D₄	1	1	yes	characteristic
367	#88147	—	2	1	no	—
368	#88146	C₂³	1	1	yes	characteristic
369	C₄⋊C₄×D₁₃	—	2	1	no	—
370	C₄⋊C₄×D₁₃	—	2	1	no	—
371	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
372	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
373	#88143	—	2	1	no	—
374	#88143	—	2	1	no	—
375	#88143	—	2	1	no	—
376	#88143	—	2	1	no	—
377	#88142	—	2	1	no	—
378	#88142	—	2	1	no	—
379	#88142	—	2	1	no	—
380	#88142	—	2	1	no	—
381	#88142	C₂³	1	1	yes	characteristic
382	#88141	—	2	1	no	—
383	#88141	C₂³	1	1	yes	characteristic
384	#88140	—	2	1	no	—
385	#88140	—	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	D₄	1	1	yes	characteristic
395	#88137	—	2	1	no	—
396	#88137	—	2	1	no	—
397	#88137	—	2	1	no	—
398	#88137	D₄	1	1	yes	characteristic
399	#88136	D₄	1	1	yes	characteristic
400	#88135	—	2	1	no	—
401	#88135	—	2	1	no	—
402	#88135	—	2	1	no	—
403	#88135	—	2	1	no	—
404	C₂²⋊C₄×D₁₃	—	2	1	no	—
405	C₂²⋊C₄×D₁₃	—	2	1	no	—
406	#88133	—	2	1	no	—
407	#88133	—	2	1	no	—
408	#88133	—	2	1	no	—
409	#88133	—	2	1	no	—
410	#88132	—	2	1	no	—
411	#88132	—	2	1	no	—
412	#88132	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	—	2	1	no	—
415	#88132	—	2	1	no	—
416	#88132	—	2	1	no	—
417	#88132	—	2	1	no	—
418	#88132	—	2	1	no	—
419	#88132	—	2	1	no	—
420	#88132	—	2	1	no	—
421	#88132	D₄	1	1	yes	characteristic
422	#88131	—	2	1	no	—
423	#88131	—	2	1	no	—
424	C₄×D₅₂	C₂³	1	1	yes	characteristic
425	#88126	C₂³	1	1	yes	characteristic
426	#88124	C₂³	1	1	yes	characteristic
427	#88123	C₂³	1	1	yes	characteristic
428	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
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×#102	C₂³	1	1	yes	characteristic
436	C₁₃×#102	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	#88072	C₂³	1	1	yes	characteristic
447	#88072	C₂³	1	1	yes	characteristic
448	#88072	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	#88072	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	#88060	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	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	#88058	C₂³	1	1	yes	characteristic
464	#88057	C₂³	1	1	yes	characteristic
465	#88057	C₂³	1	1	yes	characteristic
466	#88056	C₂³	1	1	yes	characteristic
467	#88056	C₂³	1	1	yes	characteristic
468	#88056	C₂³	1	1	yes	characteristic
469	#88056	C₂³	1	1	yes	characteristic
470	#88056	C₂³	1	1	yes	characteristic
471	#88056	C₂³	1	1	yes	characteristic
472	#88056	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	#88050	C₂³	1	1	yes	characteristic
482	#88050	C₂³	1	1	yes	characteristic
483	#88050	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	#61655	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
493	C₁₃×#41	—	2	2	no	—
494	C₁₃×#41	—	4	1	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₁₃×#41	—	4	1	no	—
497	C₁₃×#41	—	4	1	no	—
498	C₁₃×#41	—	4	1	no	—
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂×D₄×C₁₃	—	2	2	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	4	1	no	—
509	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
510	C₂×D₄×C₁₃	C₂⁴	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	—	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	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	4	4	no	—
530	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
531	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
532	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
533	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
534	C₂²×Dic₁₃	—	2	1	no	—
535	C₂²×Dic₁₃	—	2	1	no	—
536	C₂²×Dic₁₃	—	2	1	no	—
537	C₂²×Dic₁₃	—	2	1	no	—
538	C₂²×Dic₁₃	—	2	1	no	—
539	C₂²×Dic₁₃	—	2	1	no	—
540	C₂²×Dic₁₃	—	2	1	no	—
541	C₂²×Dic₁₃	—	2	1	no	—
542	C₂²×Dic₁₃	—	2	1	no	—
543	C₂²×Dic₁₃	—	4	4	no	—
544	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
545	Q₈×D₁₃	—	2	2	no	—
546	Q₈×D₁₃	—	4	1	no	—
547	Q₈×D₁₃	—	4	1	no	—
548	Q₈×D₁₃	—	4	1	no	—
549	Q₈×D₁₃	—	4	1	no	—
550	Q₈×D₁₃	—	4	1	no	—
551	Q₈×D₁₃	—	4	1	no	—
552	Q₈×D₁₃	—	4	1	no	—
553	#6129	—	2	2	no	—
554	#6129	—	2	2	no	—
555	#6129	—	2	2	no	—
556	#6129	—	2	2	no	—
557	#6129	—	2	2	no	—
558	#6129	—	4	1	no	—
559	#6129	—	4	1	no	—
560	#6129	—	4	1	no	—
561	#6129	—	4	1	no	—
562	#6129	—	4	1	no	—
563	#6129	—	4	4	no	—
564	#6129	—	4	4	no	—
565	#6129	—	4	4	no	—
566	#6129	—	4	4	no	—
567	#6127	—	4	1	no	—
568	#6127	—	4	1	no	—
569	#6127	—	4	4	no	—
570	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
571	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
572	C₂×C₄×D₁₃	—	2	1	no	—
573	C₂×C₄×D₁₃	—	2	1	no	—
574	C₂×C₄×D₁₃	—	2	1	no	—
575	C₂×C₄×D₁₃	—	2	1	no	—
576	C₂×C₄×D₁₃	—	2	1	no	—
577	C₂×C₄×D₁₃	—	2	1	no	—
578	C₂×C₄×D₁₃	—	4	1	no	—
579	C₂×C₄×D₁₃	—	4	1	no	—
580	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
581	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
582	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×Dic₂₆	—	2	2	no	—
586	C₂×Dic₂₆	—	2	2	no	—
587	C₂×Dic₂₆	—	2	1	no	—
588	C₂×Dic₂₆	—	2	1	no	—
589	C₂×Dic₂₆	—	2	1	no	—
590	C₂×Dic₂₆	—	2	1	no	—
591	C₂×Dic₂₆	—	2	1	no	—
592	C₂×Dic₂₆	—	2	1	no	—
593	C₂×Dic₂₆	—	2	1	no	—
594	C₂×Dic₂₆	—	4	1	no	—
595	C₂×Dic₂₆	—	4	1	no	—
596	C₂×Dic₂₆	—	4	4	no	—
597	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
598	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
599	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
600	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
601	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
602	C₁₃×Q₁₆	—	4	1	no	—
603	C₁₃×Q₁₆	—	4	1	no	—
604	C₁₃×SD₁₆	—	2	2	no	—
605	C₁₃×SD₁₆	—	2	2	no	—
606	C₁₃×SD₁₆	—	4	1	no	—
607	C₁₃×SD₁₆	—	4	1	no	—
608	C₁₃×SD₁₆	—	4	1	no	—
609	C₁₃×D₈	—	2	2	no	—
610	C₁₃×D₈	—	4	1	no	—
611	C₁₃×M₁₆	—	4	1	no	—
612	C₂×C₈×C₁₃	—	4	1	no	—
613	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
614	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
615	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
616	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	—	2	1	no	—
618	C₁₃×C₄⋊C₄	—	2	1	no	—
619	C₁₃×C₄⋊C₄	—	2	1	no	—
620	C₁₃×C₄⋊C₄	—	2	1	no	—
621	C₁₃×C₄⋊C₄	—	2	1	no	—
622	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
634	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
636	C₂²⋊Dic₁₃	—	2	1	no	—
637	C₂²⋊Dic₁₃	—	2	1	no	—
638	C₂²⋊Dic₁₃	—	2	1	no	—
639	C₂²⋊Dic₁₃	—	2	1	no	—
640	C₂²⋊Dic₁₃	—	2	1	no	—
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	—	2	1	no	—
648	C₂²⋊Dic₁₃	—	2	1	no	—
649	C₂²⋊Dic₁₃	—	2	1	no	—
650	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
651	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
652	#6107	—	2	2	no	—
653	#6107	—	2	2	no	—
654	#6107	—	4	1	no	—
655	#6107	—	4	1	no	—
656	#6107	—	4	1	no	—
657	#6107	—	4	1	no	—
658	#6107	—	4	1	no	—
659	#6105	—	2	2	no	—
660	#6105	—	2	2	no	—
661	#6105	—	4	1	no	—
662	#6105	—	4	1	no	—
663	#6105	—	4	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	C₂×D₄	1	1	yes	characteristic
674	#6103	C₂×D₄	1	1	yes	characteristic
675	#6103	C₂×D₄	1	1	yes	characteristic
676	#6103	C₂×D₄	1	1	yes	characteristic
677	#6103	C₂×D₄	1	1	yes	characteristic
678	#6103	C₂×D₄	1	1	yes	characteristic
679	C₄⋊Dic₁₃	—	2	1	no	—
680	C₄⋊Dic₁₃	—	2	1	no	—
681	C₄⋊Dic₁₃	—	2	1	no	—
682	C₄⋊Dic₁₃	—	2	1	no	—
683	C₄⋊Dic₁₃	—	2	1	no	—
684	C₄⋊Dic₁₃	—	2	1	no	—
685	C₄⋊Dic₁₃	—	2	1	no	—
686	C₄⋊Dic₁₃	—	2	1	no	—
687	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
688	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
689	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
690	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
691	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
692	#6101	—	2	1	no	—
693	#6101	—	2	1	no	—
694	#6101	—	2	1	no	—
695	#6101	—	2	1	no	—
696	#6101	—	2	1	no	—
697	#6101	—	2	1	no	—
698	#6101	—	2	1	no	—
699	#6101	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
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	C₄×Dic₁₃	—	2	1	no	—
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	Dic₅₂	—	2	2	no	—
730	Dic₅₂	—	4	1	no	—
731	Dic₅₂	—	4	1	no	—
732	#6094	—	4	1	no	—
733	#6094	—	4	1	no	—
734	#6094	—	4	1	no	—
735	C₈×D₁₃	—	4	1	no	—
736	#3541	—	13	1	no	—
737	#3489	—	13	1	no	—
738	#3331	—	13	1	no	—
739	#3328	—	13	1	no	—
740	#3326	—	13	1	no	—
741	#3323	—	13	1	no	—
742	#3316	—	13	1	no	—
743	#3312	—	13	1	no	—
744	#3311	—	13	1	no	—
745	#3307	—	13	1	no	—
746	#3277	—	13	1	no	—
747	#3276	—	13	1	no	—
748	#3276	—	13	1	no	—
749	#3275	—	13	1	no	—
750	#3270	—	13	1	no	—
751	#3270	—	13	1	no	—
752	#3269	—	13	1	no	—
753	#3267	D₁₃	1	1	yes	characteristic, complemented
754	#3225	—	13	1	no	—
755	#3223	—	13	1	no	—
756	#3204	—	13	1	no	—
757	#3201	—	13	1	no	—
758	#3196	—	13	1	no	—
759	#3195	—	13	1	no	—
760	#3125	—	13	1	no	—
761	#3120	—	13	1	no	—
762	#3013	—	13	1	no	—
763	#3011	—	13	1	no	—
764	#3007	—	13	1	no	—
765	#3005	—	13	1	no	—
766	#2978	—	13	1	no	—
767	C₂³×C₁₃	—	2	1	no	—
768	C₂³×C₁₃	—	2	1	no	—
769	C₂³×C₁₃	—	2	1	no	—
770	C₂³×C₁₃	—	4	2	no	—
771	C₂³×C₁₃	—	4	2	no	—
772	C₂³×C₁₃	—	8	1	no	—
773	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
774	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
775	C₂²×D₁₃	—	4	1	no	—
776	C₂²×D₁₃	—	4	1	no	—
777	C₂²×D₁₃	—	4	1	no	—
778	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
781	Q₈×C₁₃	—	2	1	no	—
782	Q₈×C₁₃	—	2	1	no	—
783	Q₈×C₁₃	—	2	1	no	—
784	Q₈×C₁₃	—	2	1	no	—
785	Q₈×C₁₃	—	2	1	no	—
786	Q₈×C₁₃	—	2	1	no	—
787	D₄×C₁₃	—	2	1	no	—
788	D₄×C₁₃	—	2	1	no	—
789	D₄×C₁₃	—	2	1	no	—
790	D₄×C₁₃	—	2	1	no	—
791	D₄×C₁₃	—	2	1	no	—
792	D₄×C₁₃	—	4	1	no	—
793	D₄×C₁₃	—	4	2	no	—
794	D₄×C₁₃	—	4	2	no	—
795	D₄×C₁₃	—	8	1	no	—
796	D₄×C₁₃	—	8	1	no	—
797	D₄×C₁₃	—	8	1	no	—
798	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
799	C₂×C₄×C₁₃	—	2	1	no	—
800	C₂×C₄×C₁₃	—	2	1	no	—
801	C₂×C₄×C₁₃	—	2	1	no	—
802	C₂×C₄×C₁₃	—	2	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	—	4	2	no	—
809	C₂×C₄×C₁₃	—	8	1	no	—
810	C₂×C₄×C₁₃	—	8	1	no	—
811	C₂×C₄×C₁₃	—	8	1	no	—
812	C₂×C₄×C₁₃	—	8	1	no	—
813	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
818	C₂²⋊D₁₃	—	2	4	no	—
819	C₂²⋊D₁₃	—	4	1	no	—
820	C₂²⋊D₁₃	—	4	1	no	—
821	C₂²⋊D₁₃	—	4	1	no	—
822	C₂²⋊D₁₃	—	4	1	no	—
823	C₂²⋊D₁₃	—	4	2	no	—
824	C₂²⋊D₁₃	—	4	2	no	—
825	C₂²⋊D₁₃	—	4	2	no	—
826	C₂²⋊D₁₃	—	4	2	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	C₂×Dic₁₃	—	2	4	no	—
832	C₂×Dic₁₃	—	2	1	no	—
833	C₂×Dic₁₃	—	2	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	—	2	1	no	—
840	C₂×Dic₁₃	—	4	1	no	—
841	C₂×Dic₁₃	—	4	2	no	—
842	C₂×Dic₁₃	—	4	2	no	—
843	C₂×Dic₁₃	—	4	2	no	—
844	C₂×Dic₁₃	—	4	2	no	—
845	C₂×Dic₁₃	—	4	2	no	—
846	C₂×Dic₁₃	—	4	2	no	—
847	C₂×Dic₁₃	—	8	1	no	—
848	C₂×Dic₁₃	—	8	1	no	—
849	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
850	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
851	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
852	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
853	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
854	D₅₂	—	4	1	no	—
855	D₅₂	—	4	1	no	—
856	C₄×D₁₃	—	2	1	no	—
857	C₄×D₁₃	—	2	1	no	—
858	C₄×D₁₃	—	2	1	no	—
859	C₄×D₁₃	—	2	1	no	—
860	C₄×D₁₃	—	2	1	no	—
861	C₄×D₁₃	—	2	1	no	—
862	C₄×D₁₃	—	4	1	no	—
863	C₄×D₁₃	—	4	1	no	—
864	C₄×D₁₃	—	4	2	no	—
865	C₄×D₁₃	—	4	2	no	—
866	C₄×D₁₃	—	8	1	no	—
867	C₄×D₁₃	—	8	1	no	—
868	C₄×D₁₃	—	8	1	no	—
869	C₄×D₁₃	—	8	1	no	—
870	Dic₂₆	—	2	1	no	—
871	Dic₂₆	—	2	1	no	—
872	Dic₂₆	—	2	1	no	—
873	Dic₂₆	—	2	1	no	—
874	Dic₂₆	—	2	1	no	—
875	Dic₂₆	—	2	1	no	—
876	Dic₂₆	—	2	1	no	—
877	Dic₂₆	—	4	1	no	—
878	Dic₂₆	—	4	2	no	—
879	Dic₂₆	—	4	2	no	—
880	Dic₂₆	—	4	2	no	—
881	Dic₂₆	—	4	2	no	—
882	Dic₂₆	—	8	1	no	—
883	Dic₂₆	—	8	1	no	—
884	Dic₂₆	—	8	1	no	—
885	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
886	C₈×C₁₃	—	2	1	no	—
887	C₈×C₁₃	—	2	1	no	—
888	C₈×C₁₃	—	2	1	no	—
889	C₈×C₁₃	—	2	1	no	—
890	#1055	—	2	1	no	—
891	#1055	—	2	1	no	—
892	#1055	—	2	1	no	—
893	#1055	—	2	1	no	—
894	C₂×2₋¹⁺⁴	—	13	1	no	—
895	C₂²×#41	—	13	1	no	—
896	C₂×#137	—	13	1	no	—
897	C₂×#137	—	13	1	no	—
898	C₂×#137	—	13	1	no	—
899	C₂×#137	—	13	1	no	—
900	C₂×#137	—	13	1	no	—
901	C₂×AGL(1,ℤ/8)	C₂×D₁₃	1	1	yes	characteristic
902	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
903	C₂²×Q₁₆	—	13	1	no	—
904	#563	—	26	1	no	—
905	#562	—	26	1	no	—
906	#556	—	13	1	no	—
907	#554	—	13	1	no	—
908	#554	—	26	1	no	—
909	#553	—	13	1	no	—
910	#553	—	26	1	no	—
911	#552	—	13	1	no	—
912	D₄×Q₈	—	13	1	no	—
913	D₄×Q₈	—	13	1	no	—
914	D₄×Q₈	—	13	1	no	—
915	#548	—	13	1	no	—
916	#548	—	13	1	no	—
917	#548	—	13	1	no	—
918	#548	—	13	1	no	—
919	#547	—	13	1	no	—
920	#547	—	13	1	no	—
921	#547	—	26	1	no	—
922	#547	—	26	1	no	—
923	#547	C₂×D₁₃	1	1	yes	characteristic
924	#546	—	13	1	no	—
925	#546	—	26	1	no	—
926	#546	—	26	1	no	—
927	#546	C₂×D₁₃	1	1	yes	characteristic
928	#542	—	13	1	no	—
929	#542	—	26	1	no	—
930	#541	—	13	1	no	—
931	#539	—	26	1	no	—
932	#538	—	26	1	no	—
933	#538	—	26	1	no	—
934	#537	—	13	1	no	—
935	#537	—	13	1	no	—
936	#537	—	26	1	no	—
937	#536	—	13	1	no	—
938	#536	—	13	1	no	—
939	#536	—	26	1	no	—
940	#525	—	13	1	no	—
941	#525	—	13	1	no	—
942	#525	—	26	1	no	—
943	C₂×C₂²⋊Q₈	—	13	1	no	—
944	C₂×C₂²⋊Q₈	—	13	1	no	—
945	C₂×C₂²⋊Q₈	—	26	1	no	—
946	#520	—	13	1	no	—
947	#497	—	13	1	no	—
948	#497	C₂×D₁₃	1	1	yes	characteristic, complemented
949	#495	—	13	1	no	—
950	#494	—	13	1	no	—
951	#491	—	13	1	no	—
952	#489	—	13	1	no	—
953	#488	—	13	1	no	—
954	#487	—	13	1	no	—
955	#485	—	13	1	no	—
956	#485	—	13	1	no	—
957	#485	—	13	1	no	—
958	#484	—	13	1	no	—
959	#483	—	13	1	no	—
960	#483	—	13	1	no	—
961	#483	—	13	1	no	—
962	#483	—	13	1	no	—
963	#483	—	13	1	no	—
964	#482	—	13	1	no	—
965	#481	—	13	1	no	—
966	#481	—	13	1	no	—
967	#479	—	13	1	no	—
968	#478	—	13	1	no	—
969	#476	—	13	1	no	—
970	#475	—	13	1	no	—
971	#470	—	13	1	no	—
972	#470	—	13	1	no	—
973	#470	—	13	1	no	—
974	#470	—	13	1	no	—
975	#470	—	13	1	no	—
976	#470	—	13	1	no	—
977	#470	—	13	1	no	—
978	#470	C₂×D₁₃	1	1	yes	characteristic
979	#469	—	13	1	no	—
980	#468	—	13	1	no	—
981	#468	—	13	1	no	—
982	#468	—	13	1	no	—
983	#467	—	13	1	no	—
984	#465	—	13	1	no	—
985	#465	—	13	1	no	—
986	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
987	#464	—	13	1	no	—
988	#464	—	13	1	no	—
989	#464	—	13	1	no	—
990	#464	—	13	1	no	—
991	#463	—	13	1	no	—
992	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
993	#462	—	13	1	no	—
994	#462	—	13	1	no	—
995	#462	—	13	1	no	—
996	#462	—	13	1	no	—
997	#461	—	13	1	no	—
998	#461	C₂×D₁₃	1	1	yes	characteristic, complemented
999	#452	—	13	1	no	—
1000	#452	—	13	1	no	—
1001	#452	—	13	1	no	—
1002	#452	—	13	1	no	—
1003	#452	—	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	C₂×D₁₃	1	1	yes	characteristic
1012	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1013	#451	—	13	1	no	—
1014	#451	—	13	1	no	—
1015	#451	—	13	1	no	—
1016	#451	—	13	1	no	—
1017	#451	—	13	1	no	—
1018	#451	—	13	1	no	—
1019	#451	—	13	1	no	—
1020	#451	—	13	1	no	—
1021	#451	—	13	1	no	—
1022	#451	—	13	1	no	—
1023	#451	—	13	1	no	—
1024	#450	—	13	1	no	—
1025	#450	C₂×D₁₃	1	1	yes	characteristic
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	C₂×D₁₃	1	1	yes	characteristic, complemented
1032	#448	—	13	1	no	—
1033	#448	—	13	1	no	—
1034	#448	—	13	1	no	—
1035	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
1036	#441	—	13	1	no	—
1037	#441	—	13	1	no	—
1038	#440	—	13	1	no	—
1039	C₄×Q₁₆	—	13	1	no	—
1040	C₄×SD₁₆	—	13	1	no	—
1041	C₄×SD₁₆	—	13	1	no	—
1042	C₄×SD₁₆	—	13	1	no	—
1043	#436	—	13	1	no	—
1044	#436	—	13	1	no	—
1045	#436	—	13	1	no	—
1046	#436	—	13	1	no	—
1047	#435	—	13	1	no	—
1048	#435	—	13	1	no	—
1049	#435	—	13	1	no	—
1050	#435	C₂×D₁₃	1	1	yes	characteristic
1051	#433	—	13	1	no	—
1052	#433	—	13	1	no	—
1053	#419	—	13	1	no	—
1054	#419	—	13	1	no	—
1055	#418	—	13	1	no	—
1056	#417	—	13	1	no	—
1057	#417	—	13	1	no	—
1058	#417	—	13	1	no	—
1059	#416	—	13	1	no	—
1060	C₂×#103	—	13	1	no	—
1061	#408	—	13	1	no	—
1062	#408	—	13	1	no	—
1063	#407	—	13	1	no	—
1064	#407	—	13	1	no	—
1065	C₂²×C₁₃	—	2	1	no	—
1066	C₂²×C₁₃	—	2	1	no	—
1067	C₂²×C₁₃	—	2	1	no	—
1068	C₂²×C₁₃	—	2	1	no	—
1069	C₂²×C₁₃	—	2	2	no	—
1070	C₂²×C₁₃	—	2	1	no	—
1071	C₂²×C₁₃	—	2	1	no	—
1072	C₂²×C₁₃	—	4	1	no	—
1073	C₂²×C₁₃	—	4	1	no	—
1074	C₂²×C₁₃	—	4	1	no	—
1075	C₂²×C₁₃	—	4	1	no	—
1076	C₂²×C₁₃	—	4	1	no	—
1077	C₂²×C₁₃	—	4	1	no	—
1078	C₂²×C₁₃	—	4	1	no	—
1079	C₂²×C₁₃	—	4	1	no	—
1080	C₂²×C₁₃	—	8	4	no	—
1081	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
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	1	no	—
1088	C₂×D₁₃	—	2	1	no	—
1089	C₂×D₁₃	—	2	1	no	—
1090	C₂×D₁₃	—	2	1	no	—
1091	C₂×D₁₃	—	8	2	no	—
1092	C₄×C₁₃	—	2	1	no	—
1093	C₄×C₁₃	—	2	1	no	—
1094	C₄×C₁₃	—	2	1	no	—
1095	C₄×C₁₃	—	2	1	no	—
1096	C₄×C₁₃	—	4	1	no	—
1097	C₄×C₁₃	—	4	1	no	—
1098	C₄×C₁₃	—	4	1	no	—
1099	C₄×C₁₃	—	4	1	no	—
1100	C₄×C₁₃	—	4	1	no	—
1101	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1102	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1103	Dic₁₃	—	2	1	no	—
1104	Dic₁₃	—	2	1	no	—
1105	Dic₁₃	—	2	2	no	—
1106	Dic₁₃	—	2	1	no	—
1107	Dic₁₃	—	2	1	no	—
1108	Dic₁₃	—	2	1	no	—
1109	Dic₁₃	—	4	1	no	—
1110	Dic₁₃	—	4	1	no	—
1111	Dic₁₃	—	4	1	no	—
1112	Dic₁₃	—	4	1	no	—
1113	Dic₁₃	—	4	1	no	—
1114	Dic₁₃	—	4	1	no	—
1115	Dic₁₃	—	4	1	no	—
1116	2₋¹⁺⁴	—	52	2	no	—
1117	2₋¹⁺⁴	—	52	2	no	—
1118	C₂×#41	—	13	1	no	—
1119	C₂×#41	—	13	1	no	—
1120	C₂×#41	—	13	1	no	—
1121	C₂×#41	—	13	1	no	—
1122	C₂×#41	—	13	1	no	—
1123	C₂×#41	—	13	1	no	—
1124	C₂×#41	—	26	1	no	—
1125	C₂×#41	—	26	1	no	—
1126	C₂×#41	—	26	1	no	—
1127	C₂×#41	—	26	1	no	—
1128	C₂×#41	—	26	1	no	—
1129	C₂×#41	—	52	2	no	—
1130	C₂×#41	—	52	2	no	—
1131	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1132	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1133	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1134	C₂²×Q₈	—	13	1	no	—
1135	C₂²×Q₈	—	13	1	no	—
1136	C₂²×Q₈	—	13	1	no	—
1137	C₂²×Q₈	—	13	1	no	—
1138	C₂²×Q₈	—	13	1	no	—
1139	C₂²×Q₈	—	13	1	no	—
1140	C₂²×Q₈	—	26	1	no	—
1141	C₂²×D₄	—	26	1	no	—
1142	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1143	C₂³×C₄	—	13	1	no	—
1144	C₂³×C₄	—	26	1	no	—
1145	#137	—	52	2	no	—
1146	#137	—	52	2	no	—
1147	#137	—	52	2	no	—
1148	#137	—	52	2	no	—
1149	#137	—	52	2	no	—
1150	AGL(1,ℤ/8)	—	4	2	no	—
1151	#135	—	4	2	no	—
1152	C₂×Q₁₆	—	13	1	no	—
1153	C₂×Q₁₆	—	13	1	no	—
1154	C₂×Q₁₆	—	13	1	no	—
1155	C₂×Q₁₆	—	13	1	no	—
1156	C₂×Q₁₆	—	13	1	no	—
1157	C₂×Q₁₆	—	13	1	no	—
1158	C₂×Q₁₆	—	13	1	no	—
1159	C₂×Q₁₆	—	13	1	no	—
1160	C₂×Q₁₆	—	13	1	no	—
1161	C₂×Q₁₆	—	13	1	no	—
1162	C₂×Q₁₆	—	52	2	no	—
1163	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1164	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1165	C₂×SD₁₆	—	13	1	no	—
1166	C₂×SD₁₆	—	13	1	no	—
1167	C₂×SD₁₆	—	13	1	no	—
1168	C₂×SD₁₆	—	13	1	no	—
1169	C₂×SD₁₆	—	13	1	no	—
1170	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1171	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1172	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1173	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1174	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1175	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1176	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1177	C₂×M₁₆	—	13	1	no	—
1178	C₂×M₁₆	—	13	1	no	—
1179	C₂×M₁₆	—	13	1	no	—
1180	C₂×M₁₆	—	13	1	no	—
1181	C₂×M₁₆	—	13	1	no	—
1182	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1183	C₂²×C₈	—	13	1	no	—
1184	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1185	C₄⋊Q₈	—	13	1	no	—
1186	C₄⋊Q₈	—	13	1	no	—
1187	C₄⋊Q₈	—	13	1	no	—
1188	C₄⋊Q₈	—	26	1	no	—
1189	C₄⋊Q₈	—	26	1	no	—
1190	C₄⋊Q₈	—	26	1	no	—
1191	C₄⋊Q₈	—	26	1	no	—
1192	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1193	#126	—	26	1	no	—
1194	#126	—	26	1	no	—
1195	#126	—	26	1	no	—
1196	#126	—	26	1	no	—
1197	#126	—	26	1	no	—
1198	#126	—	26	1	no	—
1199	#126	—	26	1	no	—
1200	#125	—	13	1	no	—
1201	#125	—	26	1	no	—
1202	#125	—	26	1	no	—
1203	#125	—	26	1	no	—
1204	#125	—	26	1	no	—
1205	#124	—	13	1	no	—
1206	#124	—	13	1	no	—
1207	#124	—	26	1	no	—
1208	#124	—	26	1	no	—
1209	#124	—	26	1	no	—
1210	#124	—	26	1	no	—
1211	#124	—	26	1	no	—
1212	#124	—	26	1	no	—
1213	#124	—	26	1	no	—
1214	#124	C₂²×D₁₃	1	1	yes	characteristic
1215	#123	—	2	1	no	—
1216	#123	—	2	1	no	—
1217	#123	—	2	1	no	—
1218	#123	—	13	1	no	—
1219	#123	—	13	1	no	—
1220	#123	—	26	1	no	—
1221	#123	—	26	1	no	—
1222	#123	—	26	1	no	—
1223	#123	—	26	1	no	—
1224	#123	—	26	1	no	—
1225	#123	—	26	1	no	—
1226	#123	—	26	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	C₂²⋊Q₈	—	13	1	no	—
1234	C₂²⋊Q₈	—	13	1	no	—
1235	C₂²⋊Q₈	—	13	1	no	—
1236	C₂²⋊Q₈	—	13	1	no	—
1237	C₂²⋊Q₈	—	13	1	no	—
1238	C₂²⋊Q₈	—	13	1	no	—
1239	C₂²⋊Q₈	—	13	1	no	—
1240	C₂²⋊Q₈	—	13	1	no	—
1241	C₂²⋊Q₈	—	13	1	no	—
1242	C₂²⋊Q₈	—	13	1	no	—
1243	C₂²⋊Q₈	—	13	1	no	—
1244	C₂²⋊Q₈	—	13	1	no	—
1245	C₂²⋊Q₈	—	13	1	no	—
1246	C₂²⋊Q₈	—	13	1	no	—
1247	C₂²⋊Q₈	—	26	1	no	—
1248	C₂²⋊Q₈	—	26	1	no	—
1249	C₂²⋊Q₈	—	26	1	no	—
1250	C₂²⋊Q₈	—	26	1	no	—
1251	C₂²⋊Q₈	—	26	1	no	—
1252	C₂²⋊Q₈	—	26	1	no	—
1253	C₂²⋊Q₈	—	26	1	no	—
1254	C₂²⋊Q₈	—	26	1	no	—
1255	C₂²⋊Q₈	—	26	1	no	—
1256	C₂²⋊Q₈	—	26	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	C₂²×D₁₃	1	1	yes	characteristic
1269	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1270	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1271	#121	—	2	1	no	—
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	—	26	1	no	—
1280	#121	—	26	1	no	—
1281	#121	—	26	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	C₂²×D₁₃	1	1	yes	characteristic
1294	#120	—	2	1	no	—
1295	#120	—	13	1	no	—
1296	#120	—	13	1	no	—
1297	#120	—	26	1	no	—
1298	#120	—	26	1	no	—
1299	C₄×Q₈	—	13	1	no	—
1300	C₄×Q₈	—	13	1	no	—
1301	C₄×Q₈	—	13	1	no	—
1302	C₄×Q₈	—	13	1	no	—
1303	C₄×Q₈	—	13	1	no	—
1304	C₄×Q₈	—	26	1	no	—
1305	C₄×D₄	—	13	1	no	—
1306	C₄×D₄	—	13	1	no	—
1307	C₄×D₄	—	13	1	no	—
1308	C₄×D₄	—	13	1	no	—
1309	C₄×D₄	—	26	1	no	—
1310	C₄×D₄	—	26	1	no	—
1311	C₄×D₄	—	26	1	no	—
1312	C₄×D₄	—	26	1	no	—
1313	C₄×D₄	—	26	1	no	—
1314	C₄×D₄	—	26	1	no	—
1315	C₄×D₄	—	26	1	no	—
1316	C₄×D₄	—	26	1	no	—
1317	C₄×D₄	—	26	1	no	—
1318	C₄×D₄	—	26	1	no	—
1319	C₄×D₄	—	26	1	no	—
1320	C₄×D₄	—	26	1	no	—
1321	C₄×D₄	—	26	1	no	—
1322	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1323	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1324	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1325	#117	—	13	1	no	—
1326	#117	—	13	1	no	—
1327	#117	—	13	1	no	—
1328	#117	—	26	1	no	—
1329	#117	—	26	1	no	—
1330	C₂×C₄⋊C₄	—	2	1	no	—
1331	C₂×C₄⋊C₄	—	13	1	no	—
1332	C₂×C₄⋊C₄	—	13	1	no	—
1333	C₂×C₄⋊C₄	—	13	1	no	—
1334	C₂×C₄⋊C₄	—	26	1	no	—
1335	C₂×C₄⋊C₄	—	26	1	no	—
1336	C₂×C₄⋊C₄	—	26	1	no	—
1337	C₂×C₄⋊C₄	—	26	1	no	—
1338	C₂×C₄⋊C₄	—	26	1	no	—
1339	C₂×C₂²⋊C₄	—	2	1	no	—
1340	C₂×C₂²⋊C₄	—	26	1	no	—
1341	C₂×C₂²⋊C₄	—	26	1	no	—
1342	C₂×C₂²⋊C₄	—	26	1	no	—
1343	#107	—	13	1	no	—
1344	#107	—	13	1	no	—
1345	#106	—	13	1	no	—
1346	#106	—	13	1	no	—
1347	#106	—	13	1	no	—
1348	#106	—	13	1	no	—
1349	#106	—	13	1	no	—
1350	#106	C₂²×D₁₃	1	1	yes	characteristic
1351	C₄⋊C₈	—	13	1	no	—
1352	C₄⋊C₈	—	13	1	no	—
1353	C₄⋊C₈	—	13	1	no	—
1354	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1355	#103	—	13	1	no	—
1356	#103	—	13	1	no	—
1357	#103	—	13	1	no	—
1358	#103	—	13	1	no	—
1359	#103	—	13	1	no	—
1360	#103	—	13	1	no	—
1361	#103	—	13	1	no	—
1362	#103	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1375	#103	C₂²×D₁₃	1	1	yes	characteristic
1376	#103	C₂²×D₁₃	1	1	yes	characteristic
1377	#102	—	13	1	no	—
1378	#102	—	13	1	no	—
1379	#102	—	13	1	no	—
1380	#102	—	13	1	no	—
1381	#102	—	13	1	no	—
1382	#102	—	13	1	no	—
1383	#102	—	13	1	no	—
1384	#102	C₂²×D₁₃	1	1	yes	characteristic
1385	#102	C₂²×D₁₃	1	1	yes	characteristic
1386	#102	C₂²×D₁₃	1	1	yes	characteristic
1387	C₂²⋊C₈	—	13	1	no	—
1388	C₂²⋊C₈	—	13	1	no	—
1389	C₂²⋊C₈	—	13	1	no	—
1390	C₂²⋊C₈	—	13	1	no	—
1391	C₂²⋊C₈	—	13	1	no	—
1392	C₂²⋊C₈	—	13	1	no	—
1393	C₂²⋊C₈	—	13	1	no	—
1394	C₂²⋊C₈	—	13	1	no	—
1395	C₂²⋊C₈	—	13	1	no	—
1396	C₂²⋊C₈	—	13	1	no	—
1397	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1398	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1399	#97	—	13	1	no	—
1400	#97	C₂²×D₁₃	1	1	yes	characteristic
1401	C₄×C₈	—	13	1	no	—
1402	C₄×C₈	—	13	1	no	—
1403	C₂×C₁₃	—	4	1	no	—
1404	C₂×C₁₃	—	4	1	no	—
1405	C₂×C₁₃	—	4	2	no	—
1406	C₂×C₁₃	—	8	1	no	—
1407	C₂×C₁₃	—	8	1	no	—
1408	C₂×C₁₃	#3484	1	1	yes	characteristic
1409	C₂×C₁₃	#3586	1	1	yes	characteristic
1410	C₂×C₁₃	#3586	1	1	yes	characteristic
1411	D₁₃	—	4	1	no	—
1412	D₁₃	—	4	1	no	—
1413	D₁₃	—	4	1	no	—
1414	C₂⁴	—	2	1	no	—
1415	C₂⁴	—	13	1	no	—
1416	#41	—	2	2	no	—
1417	#41	—	4	1	no	—
1418	#41	—	4	1	no	—
1419	#41	—	4	1	no	—
1420	#41	—	4	1	no	—
1421	#41	—	4	1	no	—
1422	#41	—	26	2	no	—
1423	#41	—	26	2	no	—
1424	#41	—	26	2	no	—
1425	#41	—	26	2	no	—
1426	#41	—	26	2	no	—
1427	#41	—	52	1	no	—
1428	#41	—	52	1	no	—
1429	#41	—	52	4	no	—
1430	#41	—	52	1	no	—
1431	#41	—	52	1	no	—
1432	#41	—	52	1	no	—
1433	#41	—	52	1	no	—
1434	#41	—	52	1	no	—
1435	#41	—	52	4	no	—
1436	#41	—	52	4	no	—
1437	#41	—	52	4	no	—
1438	#41	—	52	4	no	—
1439	C₂×Q₈	—	13	1	no	—
1440	C₂×Q₈	—	13	1	no	—
1441	C₂×Q₈	—	13	1	no	—
1442	C₂×Q₈	—	13	1	no	—
1443	C₂×Q₈	—	13	1	no	—
1444	C₂×Q₈	—	26	1	no	—
1445	C₂×Q₈	—	26	1	no	—
1446	C₂×Q₈	—	26	1	no	—
1447	C₂×Q₈	—	26	1	no	—
1448	C₂×Q₈	—	26	1	no	—
1449	C₂×Q₈	—	26	2	no	—
1450	C₂×Q₈	—	26	2	no	—
1451	C₂×Q₈	—	26	1	no	—
1452	C₂×Q₈	—	26	1	no	—
1453	C₂×Q₈	—	26	2	no	—
1454	C₂×Q₈	—	52	1	no	—
1455	C₂×Q₈	—	52	1	no	—
1456	C₂×Q₈	—	52	4	no	—
1457	C₂×Q₈	—	52	1	no	—
1458	C₂×Q₈	—	52	1	no	—
1459	C₂×Q₈	—	52	1	no	—
1460	C₂×Q₈	—	52	1	no	—
1461	C₂×Q₈	—	52	1	no	—
1462	C₂×Q₈	—	52	1	no	—
1463	C₂×Q₈	—	52	1	no	—
1464	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1465	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1466	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1467	C₂×D₄	—	2	2	no	—
1468	C₂×D₄	—	2	1	no	—
1469	C₂×D₄	—	2	1	no	—
1470	C₂×D₄	—	2	1	no	—
1471	C₂×D₄	—	2	1	no	—
1472	C₂×D₄	—	2	1	no	—
1473	C₂×D₄	—	4	1	no	—
1474	C₂×D₄	—	13	1	no	—
1475	C₂×D₄	—	13	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	—	26	1	no	—
1481	C₂×D₄	—	26	1	no	—
1482	C₂×D₄	—	26	1	no	—
1483	C₂×D₄	—	26	1	no	—
1484	C₂×D₄	—	26	1	no	—
1485	C₂×D₄	—	26	1	no	—
1486	C₂×D₄	—	26	1	no	—
1487	C₂×D₄	—	26	1	no	—
1488	C₂×D₄	—	26	1	no	—
1489	C₂×D₄	—	52	4	no	—
1490	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1491	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1492	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1493	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1494	C₂²×C₄	—	2	1	no	—
1495	C₂²×C₄	—	2	1	no	—
1496	C₂²×C₄	—	2	1	no	—
1497	C₂²×C₄	—	2	1	no	—
1498	C₂²×C₄	—	2	1	no	—
1499	C₂²×C₄	—	13	1	no	—
1500	C₂²×C₄	—	13	1	no	—
1501	C₂²×C₄	—	13	1	no	—
1502	C₂²×C₄	—	13	1	no	—
1503	C₂²×C₄	—	13	1	no	—
1504	C₂²×C₄	—	13	1	no	—
1505	C₂²×C₄	—	26	1	no	—
1506	C₂²×C₄	—	26	1	no	—
1507	C₂²×C₄	—	26	1	no	—
1508	C₂²×C₄	—	26	1	no	—
1509	C₂²×C₄	—	26	1	no	—
1510	C₂²×C₄	—	26	1	no	—
1511	C₂²×C₄	—	26	1	no	—
1512	C₂²×C₄	—	26	1	no	—
1513	C₂²×C₄	—	26	1	no	—
1514	C₂²×C₄	—	26	1	no	—
1515	C₂²×C₄	—	26	1	no	—
1516	C₂²×C₄	—	26	1	no	—
1517	C₂²×C₄	—	26	1	no	—
1518	C₂²×C₄	—	26	1	no	—
1519	C₂²×C₄	—	26	1	no	—
1520	C₂²×C₄	—	52	1	no	—
1521	C₂²×C₄	—	52	1	no	—
1522	C₂²×C₄	—	52	4	no	—
1523	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1524	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1525	Q₁₆	—	4	1	no	—
1526	Q₁₆	—	4	1	no	—
1527	Q₁₆	—	26	2	no	—
1528	Q₁₆	—	26	2	no	—
1529	Q₁₆	—	26	2	no	—
1530	Q₁₆	—	52	1	no	—
1531	Q₁₆	—	52	1	no	—
1532	Q₁₆	—	52	1	no	—
1533	Q₁₆	—	52	1	no	—
1534	Q₁₆	—	52	1	no	—
1535	Q₁₆	—	52	1	no	—
1536	Q₁₆	—	52	1	no	—
1537	SD₁₆	—	2	2	no	—
1538	SD₁₆	—	2	2	no	—
1539	SD₁₆	—	4	1	no	—
1540	SD₁₆	—	4	1	no	—
1541	SD₁₆	—	4	1	no	—
1542	SD₁₆	—	26	2	no	—
1543	SD₁₆	—	26	2	no	—
1544	SD₁₆	—	52	1	no	—
1545	SD₁₆	—	52	1	no	—
1546	SD₁₆	—	52	1	no	—
1547	D₈	—	2	2	no	—
1548	D₈	—	4	1	no	—
1549	M₁₆	—	4	1	no	—
1550	M₁₆	—	52	1	no	—
1551	M₁₆	—	52	1	no	—
1552	M₁₆	—	52	1	no	—
1553	M₁₆	—	52	1	no	—
1554	M₁₆	—	52	1	no	—
1555	C₂×C₈	—	4	1	no	—
1556	C₂×C₈	—	13	1	no	—
1557	C₂×C₈	—	13	1	no	—
1558	C₂×C₈	—	13	1	no	—
1559	C₂×C₈	—	13	1	no	—
1560	C₂×C₈	—	52	1	no	—
1561	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1562	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1563	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1564	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	2	1	no	—
1567	C₄⋊C₄	—	2	1	no	—
1568	C₄⋊C₄	—	2	1	no	—
1569	C₄⋊C₄	—	2	1	no	—
1570	C₄⋊C₄	—	13	1	no	—
1571	C₄⋊C₄	—	13	1	no	—
1572	C₄⋊C₄	—	13	1	no	—
1573	C₄⋊C₄	—	13	1	no	—
1574	C₄⋊C₄	—	13	1	no	—
1575	C₄⋊C₄	—	13	1	no	—
1576	C₄⋊C₄	—	13	1	no	—
1577	C₄⋊C₄	—	13	1	no	—
1578	C₄⋊C₄	—	13	1	no	—
1579	C₄⋊C₄	—	26	1	no	—
1580	C₄⋊C₄	—	26	1	no	—
1581	C₄⋊C₄	—	26	1	no	—
1582	C₄⋊C₄	—	26	1	no	—
1583	C₄⋊C₄	—	26	1	no	—
1584	C₄⋊C₄	—	26	1	no	—
1585	C₄⋊C₄	—	26	1	no	—
1586	C₄⋊C₄	—	26	1	no	—
1587	C₄⋊C₄	—	26	1	no	—
1588	C₄⋊C₄	—	26	1	no	—
1589	C₄⋊C₄	—	26	1	no	—
1590	C₄⋊C₄	—	26	1	no	—
1591	C₄⋊C₄	—	26	1	no	—
1592	C₄⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1607	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1608	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
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	—	13	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	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1649	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1650	C₄²	—	13	1	no	—
1651	C₄²	—	26	1	no	—
1652	C₄²	—	26	1	no	—
1653	C₄²	—	26	1	no	—
1654	C₄²	—	26	1	no	—
1655	C₄²	—	26	1	no	—
1656	C₄²	—	26	1	no	—
1657	C₄²	—	26	1	no	—
1658	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1659	C₁₃	#61655	1	1	yes	characteristic, complemented, Sylow
1660	C₂³	—	2	1	no	—
1661	C₂³	—	2	1	no	—
1662	C₂³	—	2	1	no	—
1663	C₂³	—	4	2	no	—
1664	C₂³	—	4	2	no	—
1665	C₂³	—	8	1	no	—
1666	C₂³	—	13	1	no	—
1667	C₂³	—	13	1	no	—
1668	C₂³	—	13	1	no	—
1669	C₂³	—	52	1	no	—
1670	C₂³	—	52	1	no	—
1671	C₂³	—	52	1	no	—
1672	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1673	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1674	Q₈	—	2	1	no	—
1675	Q₈	—	2	1	no	—
1676	Q₈	—	2	1	no	—
1677	Q₈	—	2	1	no	—
1678	Q₈	—	2	1	no	—
1679	Q₈	—	2	1	no	—
1680	Q₈	—	13	2	no	—
1681	Q₈	—	26	1	no	—
1682	Q₈	—	26	1	no	—
1683	Q₈	—	26	1	no	—
1684	Q₈	—	26	1	no	—
1685	Q₈	—	26	1	no	—
1686	Q₈	—	26	1	no	—
1687	Q₈	—	26	1	no	—
1688	Q₈	—	52	1	no	—
1689	Q₈	—	52	2	no	—
1690	Q₈	—	52	2	no	—
1691	Q₈	—	52	2	no	—
1692	Q₈	—	52	2	no	—
1693	Q₈	—	104	1	no	—
1694	Q₈	—	104	1	no	—
1695	Q₈	—	104	1	no	—
1696	D₄	—	2	1	no	—
1697	D₄	—	2	1	no	—
1698	D₄	—	2	1	no	—
1699	D₄	—	2	1	no	—
1700	D₄	—	2	1	no	—
1701	D₄	—	4	1	no	—
1702	D₄	—	4	2	no	—
1703	D₄	—	4	2	no	—
1704	D₄	—	8	1	no	—
1705	D₄	—	8	1	no	—
1706	D₄	—	8	1	no	—
1707	D₄	—	26	4	no	—
1708	D₄	—	52	1	no	—
1709	D₄	—	52	1	no	—
1710	D₄	—	52	1	no	—
1711	D₄	—	52	1	no	—
1712	D₄	—	52	1	no	—
1713	D₄	—	52	1	no	—
1714	D₄	—	52	2	no	—
1715	D₄	—	52	2	no	—
1716	D₄	—	52	2	no	—
1717	D₄	—	52	2	no	—
1718	D₄	—	52	2	no	—
1719	D₄	—	104	1	no	—
1720	D₄	—	104	1	no	—
1721	D₄	—	104	1	no	—
1722	D₄	#88251	1	2	yes	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	4	2	no	—
1733	C₂×C₄	—	8	1	no	—
1734	C₂×C₄	—	8	1	no	—
1735	C₂×C₄	—	8	1	no	—
1736	C₂×C₄	—	8	1	no	—
1737	C₂×C₄	—	13	1	no	—
1738	C₂×C₄	—	13	1	no	—
1739	C₂×C₄	—	13	1	no	—
1740	C₂×C₄	—	13	1	no	—
1741	C₂×C₄	—	13	1	no	—
1742	C₂×C₄	—	26	4	no	—
1743	C₂×C₄	—	26	1	no	—
1744	C₂×C₄	—	26	1	no	—
1745	C₂×C₄	—	26	1	no	—
1746	C₂×C₄	—	26	1	no	—
1747	C₂×C₄	—	26	1	no	—
1748	C₂×C₄	—	26	1	no	—
1749	C₂×C₄	—	26	1	no	—
1750	C₂×C₄	—	26	1	no	—
1751	C₂×C₄	—	26	1	no	—
1752	C₂×C₄	—	26	1	no	—
1753	C₂×C₄	—	26	1	no	—
1754	C₂×C₄	—	26	1	no	—
1755	C₂×C₄	—	26	1	no	—
1756	C₂×C₄	—	26	1	no	—
1757	C₂×C₄	—	52	1	no	—
1758	C₂×C₄	—	52	1	no	—
1759	C₂×C₄	—	52	2	no	—
1760	C₂×C₄	—	52	2	no	—
1761	C₂×C₄	—	52	1	no	—
1762	C₂×C₄	—	52	2	no	—
1763	C₂×C₄	—	52	2	no	—
1764	C₂×C₄	—	52	2	no	—
1765	C₂×C₄	—	52	2	no	—
1766	C₂×C₄	—	52	2	no	—
1767	C₂×C₄	—	52	2	no	—
1768	C₂×C₄	—	104	1	no	—
1769	C₂×C₄	—	104	1	no	—
1770	C₂×C₄	—	104	1	no	—
1771	C₂×C₄	—	104	1	no	—
1772	C₂×C₄	—	104	1	no	—
1773	C₂×C₄	—	104	1	no	—
1774	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1775	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1776	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1777	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1778	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1779	C₈	—	2	1	no	—
1780	C₈	—	2	1	no	—
1781	C₈	—	2	1	no	—
1782	C₈	—	2	1	no	—
1783	C₈	—	26	1	no	—
1784	C₈	—	26	1	no	—
1785	C₈	—	26	1	no	—
1786	C₈	—	26	1	no	—
1787	C₂²	—	2	1	no	—
1788	C₂²	—	2	1	no	—
1789	C₂²	—	2	2	no	—
1790	C₂²	—	2	1	no	—
1791	C₂²	—	2	1	no	—
1792	C₂²	—	2	1	no	—
1793	C₂²	—	2	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	4	1	no	—
1799	C₂²	—	4	1	no	—
1800	C₂²	—	4	1	no	—
1801	C₂²	—	4	1	no	—
1802	C₂²	—	8	4	no	—
1803	C₂²	—	26	1	no	—
1804	C₂²	—	26	1	no	—
1805	C₂²	—	26	1	no	—
1806	C₂²	—	26	1	no	—
1807	C₂²	—	26	1	no	—
1808	C₂²	—	26	1	no	—
1809	C₂²	—	26	1	no	—
1810	C₂²	—	26	1	no	—
1811	C₂²	—	26	1	no	—
1812	C₂²	—	104	2	no	—
1813	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1814	C₄	—	2	1	no	—
1815	C₄	—	2	1	no	—
1816	C₄	—	2	1	no	—
1817	C₄	—	2	1	no	—
1818	C₄	—	4	1	no	—
1819	C₄	—	4	1	no	—
1820	C₄	—	4	1	no	—
1821	C₄	—	4	1	no	—
1822	C₄	—	4	1	no	—
1823	C₄	—	26	1	no	—
1824	C₄	—	26	1	no	—
1825	C₄	—	26	1	no	—
1826	C₄	—	26	2	no	—
1827	C₄	—	26	1	no	—
1828	C₄	—	26	1	no	—
1829	C₄	—	52	1	no	—
1830	C₄	—	52	1	no	—
1831	C₄	—	52	1	no	—
1832	C₄	—	52	1	no	—
1833	C₄	—	52	1	no	—
1834	C₄	—	52	1	no	—
1835	C₄	—	52	1	no	—
1836	C₄	C₂×#88251	1	1	yes	characteristic
1837	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1838	C₂	—	4	1	no	—
1839	C₂	—	4	1	no	—
1840	C₂	—	4	2	no	—
1841	C₂	—	8	1	no	—
1842	C₂	—	8	1	no	—
1843	C₂	—	52	1	no	—
1844	C₂	—	52	1	no	—
1845	C₂	—	52	1	no	—
1846	C₂	#13128464	1	1	yes	characteristic
1847	C₂	#13129618	1	1	yes	characteristic
1848	C₂	#13129620	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×#3267	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3267	D₁₃
hypocenter	C₁₃	#61655
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3267

Complements

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

N	H ≅ G/N	type
1. #13129119	C₂	semidirect
2. #13128507	C₂	semidirect
3. #13127145	C₂	semidirect
4. #13127114	C₂	semidirect
5. #13127096	C₂	semidirect
6. #13127052	C₂	semidirect
7. #13126953	C₂	semidirect
8. #13126889	C₂	semidirect
9. #13126865	C₂	semidirect
10. #13126817	C₂	semidirect
11. #13126486	C₂	semidirect
12. #13126485	C₂	semidirect
13. #13126478	C₂	semidirect
14. #13126467	C₂	semidirect
15. #13126405	C₂	semidirect
16. #13126404	C₂	semidirect
17. #13126391	C₂	semidirect
18. #13125942	C₂	semidirect
19. #13125914	C₂	semidirect
20. #13125745	C₂	semidirect
21. #13125711	C₂	semidirect
22. #13125664	C₂	semidirect
23. #13125656	C₂	semidirect
24. #13125117	C₂	semidirect
25. #13125047	C₂	semidirect
26. #13124147	C₂	semidirect
27. #13124128	C₂	semidirect
28. #13124091	C₂	semidirect
29. #13124075	C₂	semidirect
30. #13123895	C₂	semidirect
31. C₁₃×#3267	C₂	semidirect
35. C₂×C₁₃×#135	C₂²	semidirect
38. #11719538	C₂²	semidirect
40. #11719536	C₂²	semidirect
44. C₂×#88205	C₂²	semidirect
46. C₂×Q₁₆×D₁₃	C₂²	semidirect
49. C₂×#88169	C₂²	semidirect
50. #11719436	C₂²	semidirect
51. #11719432	C₂²	semidirect
61. #11719340	C₂²	semidirect
63. #11719333	C₂²	semidirect
74. #11719266	C₂²	semidirect
75. #11719263	C₂²	semidirect
85. C₁₃×#497	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#461	C₂²	semidirect
91. C₁₃×#452	C₂²	semidirect
93. C₁₃×#449	C₂²	semidirect
94. C₁₃×#442	C₂²	semidirect
97. #11718900	C₂²	semidirect
98. #11718900	C₂²	semidirect
99. #11718893	C₂²	semidirect
102. #11718850	C₂²	semidirect
103. #11718847	C₂²	semidirect
104. #11718847	C₂²	semidirect
105. #11718847	C₂²	semidirect
106. #11718847	C₂²	semidirect
107. #11718843	C₂²	semidirect
108. #11718843	C₂²	semidirect
109. #11718835	C₂²	semidirect
116. #11718834	C₂²	semidirect
117. #11718832	C₂²	semidirect
118. #11718831	C₂²	semidirect
119. #11718831	C₂²	semidirect
120. #11718831	C₂²	semidirect
121. #11718828	C₂²	semidirect
122. #11718827	C₂²	semidirect
123. #11718827	C₂²	semidirect
124. #11718825	C₂²	semidirect
125. SD₁₆×Dic₁₃	C₂²	semidirect
126. #11718820	C₂²	semidirect
131. #11718819	C₂²	semidirect
132. #11718816	C₂²	semidirect
133. #11718814	C₂²	semidirect
138. #11718777	C₂²	semidirect
139. #11718772	C₂²	semidirect
140. #11718771	C₂²	semidirect
141. C₂×#88056	C₂²	semidirect
142. #11718753	C₂²	semidirect
143. #11718751	C₂²	semidirect
144. #11718717	C₂²	semidirect
145. #11718715	C₂²	semidirect
148. #11718713	C₂²	semidirect
150. #11718711	C₂²	semidirect
152. #11718703	C₂²	semidirect
153. #11718695	C₂²	semidirect
154. #11718680	C₂²	semidirect
155. C₄×#6105	C₂²	semidirect
156. C₄×#6105	C₂²	semidirect
158. #11718670	C₂²	semidirect
159. #11718528	C₂²	semidirect
160. #11718523	C₂²	semidirect
161. #11718523	C₂²	semidirect
162. #11718515	C₂²	semidirect
163. #11718510	C₂²	semidirect
164. #11718501	C₂²	semidirect
165. #11718499	C₂²	semidirect
166. #11718490	C₂²	semidirect
167. #11718477	C₂²	semidirect
168. #11718477	C₂²	semidirect
169. #11718470	C₂²	semidirect
170. #11718469	C₂²	semidirect
171. #11718469	C₂²	semidirect
172. #11718469	C₂²	semidirect
173. #11718466	C₂²	semidirect
174. #11718466	C₂²	semidirect
175. #11718463	C₂²	semidirect
176. #11718453	C₂²	semidirect
177. #11718451	C₂²	semidirect
178. #11718450	C₂²	semidirect
179. #11718445	C₂²	semidirect
182. #11718441	C₂²	semidirect
183. #11718439	C₂²	semidirect
184. #11718438	C₂²	semidirect
185. #11718433	C₂²	semidirect
188. #11718428	C₂²	semidirect
189. #11718426	C₂²	semidirect
190. #11718422	C₂²	semidirect
192. #11718400	C₂²	semidirect
193. #11718390	C₂²	semidirect
195. #11718388	C₂²	semidirect
198. #11718382	C₂²	semidirect
199. #11718377	C₂²	semidirect
200. #11718370	C₂²	semidirect
201. #11718367	C₂²	semidirect
202. #11718364	C₂²	semidirect
753. #3267	D₁₃	semidirect
902. C₂×#135	C₂×D₁₃	semidirect
948. #497	C₂×D₁₃	semidirect
986. #465	C₂×D₁₃	semidirect
992. #463	C₂×D₁₃	semidirect
998. #461	C₂×D₁₃	semidirect
1012. #452	C₂×D₁₃	semidirect
1031. #449	C₂×D₁₃	semidirect
1035. #442	C₂×D₁₃	semidirect
1659. C₁₃	#61655	semidirect

Maximal subgroups

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

subgroup	index
#13129119	2
#13128507	2
#13127145	2
#13127114	2
#13127096	2
#13127052	2
#13126953	2
#13126889	2
#13126865	2
#13126817	2
#13126486	2
#13126485	2
#13126478	2
#13126467	2
#13126405	2
#13126404	2
#13126391	2
#13125942	2
#13125914	2
#13125745	2
#13125711	2
#13125664	2
#13125656	2
#13125117	2
#13125047	2
#13124147	2
#13124128	2
#13124091	2
#13124075	2
#13123895	2
C₁₃×#3267	2
#61655	13