Subgroups — #16740064

Order 3328.

2188 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128323	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127092	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127084	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127038	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127030	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127014	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127006	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126982	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126974	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126844	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126836	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126812	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126741	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126733	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126687	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126679	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125238	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124768	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124760	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124653	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124450	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124448	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124301	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124085	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124085	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123647	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123569	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123351	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#417	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3307	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
36	#11719534	C₂²	1	1	yes	characteristic, complemented
37	#11719534	C₂²	1	1	yes	characteristic, complemented
38	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
39	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88165	C₂²	1	1	yes	characteristic
41	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂²×#6094	C₂²	1	1	yes	characteristic, complemented
43	#11719432	C₂²	1	1	yes	characteristic, complemented
44	#11719430	C₂²	1	1	yes	characteristic
45	#11719414	—	2	1	no	—
46	D₁₃×#126	—	2	1	no	—
47	#11719400	C₂²	1	1	yes	characteristic
48	D₁₃×#125	C₂²	1	1	yes	characteristic, complemented
49	#11719366	—	2	1	no	—
50	#11719361	—	2	1	no	—
51	#11719361	—	2	1	no	—
52	#11719359	—	2	1	no	—
53	#11719359	—	2	1	no	—
54	D₁₃×#123	—	2	1	no	—
55	#11719338	C₂²	1	1	yes	characteristic, complemented
56	#11719338	C₂²	1	1	yes	characteristic, complemented
57	#11719332	C₂²	1	1	yes	characteristic
58	#11719332	C₂²	1	1	yes	characteristic
59	#11719323	C₂²	1	1	yes	characteristic, complemented
60	#11719319	C₂²	1	1	yes	characteristic, complemented
61	#11719314	—	2	1	no	—
62	D₁₃×#121	—	2	1	no	—
63	D₁₃×#121	C₂²	1	1	yes	characteristic, complemented
64	D₁₃×#121	C₂²	1	1	yes	characteristic, complemented
65	#11719306	—	2	1	no	—
66	#11719301	—	2	1	no	—
67	#11719270	C₂²	1	1	yes	characteristic, complemented
68	#11719263	C₂²	1	1	yes	characteristic
69	#11719258	C₂²	1	1	yes	characteristic, complemented
70	D₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
71	C₄×D₄×D₁₃	—	2	1	no	—
72	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
73	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
74	#11719245	—	2	1	no	—
75	C₄×#6129	C₂²	1	1	yes	characteristic
76	#11719235	C₂²	1	1	yes	characteristic, complemented
77	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
78	#11719219	C₂²	1	1	yes	characteristic, complemented
79	#11719212	—	2	1	no	—
80	C₂×#88147	—	2	1	no	—
81	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
95	#11718899	C₂²	1	1	yes	characteristic, complemented
96	#11718899	C₂²	1	1	yes	characteristic, complemented
97	#11718894	C₂²	1	1	yes	characteristic, complemented
98	#11718893	C₂²	1	1	yes	characteristic, complemented
99	#11718835	C₂²	1	1	yes	characteristic, complemented
100	#11718832	C₂²	1	1	yes	characteristic, complemented
101	#11718831	C₂²	1	1	yes	characteristic, complemented
102	#11718831	C₂²	1	1	yes	characteristic, complemented
103	#11718826	C₂²	1	1	yes	characteristic, complemented
104	#11718826	C₂²	1	1	yes	characteristic, complemented
105	#11718817	C₂²	1	1	yes	characteristic, complemented
106	#11718817	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718796	C₂²	1	1	yes	characteristic, complemented
109	#11718794	C₂²	1	1	yes	characteristic, complemented
110	#11718789	C₂²	1	1	yes	characteristic, complemented
111	#11718776	C₂²	1	1	yes	characteristic, complemented
112	#11718774	C₂²	1	1	yes	characteristic, complemented
113	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
114	#11718744	C₂²	1	1	yes	characteristic, complemented
115	#11718743	C₂²	1	1	yes	characteristic, complemented
116	#11718728	C₂²	1	1	yes	characteristic, complemented
117	#11718724	C₂²	1	1	yes	characteristic, complemented
118	#11718710	C₂²	1	1	yes	characteristic, complemented
119	#11718709	C₂²	1	1	yes	characteristic, complemented
120	#11718706	C₂²	1	1	yes	characteristic, complemented
121	#11718704	C₂²	1	1	yes	characteristic, complemented
122	#11718700	C₂²	1	1	yes	characteristic, complemented
123	#11718699	C₂²	1	1	yes	characteristic, complemented
124	#11718698	C₂²	1	1	yes	characteristic, complemented
125	#11718698	C₂²	1	1	yes	characteristic, complemented
126	#11718679	C₂²	1	1	yes	characteristic, complemented
127	#11718676	C₂²	1	1	yes	characteristic, complemented
128	#11718675	C₂²	1	1	yes	characteristic, complemented
129	#11718672	C₂²	1	1	yes	characteristic, complemented
130	#11718670	C₂²	1	1	yes	characteristic, complemented
131	#11718664	C₂²	1	1	yes	characteristic, complemented
132	#11718663	C₂²	1	1	yes	characteristic, complemented
133	#11718628	C₂²	1	1	yes	characteristic, complemented
134	#11718627	C₂²	1	1	yes	characteristic, complemented
135	#11718546	C₂²	1	1	yes	characteristic, complemented
136	#11718544	C₂²	1	1	yes	characteristic, complemented
137	#11718542	C₂²	1	1	yes	characteristic, complemented
138	#11718538	C₂²	1	1	yes	characteristic, complemented
139	#11718527	C₂²	1	1	yes	characteristic, complemented
140	#11718526	C₂²	1	1	yes	characteristic, complemented
141	#11718524	C₂²	1	1	yes	characteristic, complemented
142	#11718524	C₂²	1	1	yes	characteristic, complemented
143	#11718522	C₂²	1	1	yes	characteristic, complemented
144	#11718522	C₂²	1	1	yes	characteristic, complemented
145	#11718518	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718504	C₂²	1	1	yes	characteristic, complemented
148	#11718498	C₂²	1	1	yes	characteristic, complemented
149	#11718497	C₂²	1	1	yes	characteristic, complemented
150	#11718490	C₂²	1	1	yes	characteristic, complemented
151	#11718480	C₂²	1	1	yes	characteristic, complemented
152	#11718480	C₂²	1	1	yes	characteristic, complemented
153	#11718476	C₂²	1	1	yes	characteristic, complemented
154	#11718475	C₂²	1	1	yes	characteristic, complemented
155	#11718473	C₂²	1	1	yes	characteristic, complemented
156	#11718470	C₂²	1	1	yes	characteristic, complemented
157	#11718470	C₂²	1	1	yes	characteristic, complemented
158	#11718468	C₂²	1	1	yes	characteristic, complemented
159	#11718467	C₂²	1	1	yes	characteristic, complemented
160	#11718467	C₂²	1	1	yes	characteristic, complemented
161	#11718464	C₂²	1	1	yes	characteristic, complemented
162	#11718464	C₂²	1	1	yes	characteristic, complemented
163	#11718464	C₂²	1	1	yes	characteristic, complemented
164	#11718464	C₂²	1	1	yes	characteristic, complemented
165	#11718464	C₂²	1	1	yes	characteristic, complemented
166	#11718464	C₂²	1	1	yes	characteristic, complemented
167	#11718463	C₂²	1	1	yes	characteristic, complemented
168	#11718463	C₂²	1	1	yes	characteristic, complemented
169	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
170	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
171	#11718461	C₂²	1	1	yes	characteristic, complemented
172	#11718461	C₂²	1	1	yes	characteristic, complemented
173	#11718461	C₂²	1	1	yes	characteristic, complemented
174	#11718461	C₂²	1	1	yes	characteristic, complemented
175	#11718443	C₂²	1	1	yes	characteristic, complemented
176	#11718436	C₂²	1	1	yes	characteristic, complemented
177	#11718434	C₂²	1	1	yes	characteristic, complemented
178	#11718434	C₂²	1	1	yes	characteristic, complemented
179	#11718432	C₂²	1	1	yes	characteristic
180	#11718432	C₂²	1	1	yes	characteristic
181	#11718432	C₂²	1	1	yes	characteristic
182	#11718431	C₂²	1	1	yes	characteristic, complemented
183	#11718431	C₂²	1	1	yes	characteristic, complemented
184	#11718431	C₂²	1	1	yes	characteristic, complemented
185	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
186	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
187	#11718427	C₂²	1	1	yes	characteristic, complemented
188	#11718424	C₂²	1	1	yes	characteristic, complemented
189	#11718419	C₂²	1	1	yes	characteristic, complemented
190	#11718417	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718397	C₂²	1	1	yes	characteristic, complemented
193	#11718395	C₂²	1	1	yes	characteristic, complemented
194	#11718395	C₂²	1	1	yes	characteristic, complemented
195	#11718390	C₂²	1	1	yes	characteristic, complemented
196	#11718387	C₂²	1	1	yes	characteristic, complemented
197	#11718387	C₂²	1	1	yes	characteristic, complemented
198	#11718386	C₂²	1	1	yes	characteristic, complemented
199	#11718374	C₂²	1	1	yes	characteristic, complemented
200	#11718371	C₂²	1	1	yes	characteristic, complemented
201	#11718368	C₂²	1	1	yes	characteristic, complemented
202	#11718367	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	#41×D₁₃	—	2	4	no	—
206	#41×D₁₃	—	2	4	no	—
207	#41×D₁₃	—	4	2	no	—
208	#41×D₁₃	—	4	2	no	—
209	C₂×#6131	C₂³	1	1	yes	characteristic
210	C₂×#6131	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×#6129	—	2	1	no	—
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₁₃	—	2	1	no	—
217	C₂×D₄×D₁₃	—	2	1	no	—
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
221	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×D₄×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×C₄×D₁₃	—	2	1	no	—
230	C₂²×C₄×D₁₃	—	2	1	no	—
231	C₂²×C₄×D₁₃	—	2	1	no	—
232	C₂²×C₄×D₁₃	—	2	1	no	—
233	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₁₃×#126	—	2	1	no	—
242	C₁₃×#125	C₂³	1	1	yes	characteristic
243	C₁₃×#123	—	2	1	no	—
244	C₁₃×#123	—	2	1	no	—
245	C₁₃×#123	—	2	1	no	—
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₁₃×#121	—	2	1	no	—
249	C₁₃×#121	—	2	1	no	—
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#121	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₁₃×#117	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
258	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	#88201	C₂³	1	1	yes	characteristic
260	#88201	C₂³	1	1	yes	characteristic
261	#88200	C₂³	1	1	yes	characteristic
262	#88200	C₂³	1	1	yes	characteristic
263	C₂×#6106	C₂³	1	1	yes	characteristic
264	C₂×#6106	C₂³	1	1	yes	characteristic
265	#88194	—	2	1	no	—
266	#88193	—	2	1	no	—
267	#88193	—	2	1	no	—
268	#88193	—	2	1	no	—
269	#88193	—	2	1	no	—
270	#88193	—	2	1	no	—
271	#88193	—	2	1	no	—
272	#88192	—	2	1	no	—
273	#88192	C₂³	1	1	yes	characteristic
274	#88192	C₂³	1	1	yes	characteristic
275	#88191	—	2	1	no	—
276	#88191	—	2	1	no	—
277	#88189	—	2	1	no	—
278	D₄×Dic₁₃	—	2	1	no	—
279	D₄×Dic₁₃	D₄	1	1	yes	characteristic
280	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×#6105	C₂³	1	1	yes	characteristic
283	C₂×#6104	C₂³	1	1	yes	characteristic
284	C₂×#6104	C₂³	1	1	yes	characteristic
285	C₂×#6104	C₂³	1	1	yes	characteristic
286	#88184	—	2	1	no	—
287	#88184	—	2	1	no	—
288	#88184	C₂³	1	1	yes	characteristic
289	#88184	C₂³	1	1	yes	characteristic
290	#88184	C₂³	1	1	yes	characteristic
291	#88184	C₂³	1	1	yes	characteristic
292	#88183	—	2	1	no	—
293	#88183	—	2	1	no	—
294	#88183	—	2	1	no	—
295	C₄×C₂²⋊D₁₃	—	2	1	no	—
296	C₄×C₂²⋊D₁₃	—	2	1	no	—
297	C₄×C₂²⋊D₁₃	—	2	1	no	—
298	C₄×C₂²⋊D₁₃	—	2	1	no	—
299	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
300	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
301	C₂×#6103	—	2	1	no	—
302	C₂×#6103	—	2	1	no	—
303	#88180	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×#6101	—	2	1	no	—
306	C₂×C₄×Dic₁₃	—	2	1	no	—
307	C₂×#6099	C₂³	1	1	yes	characteristic
308	C₂²×#1055	C₂³	1	1	yes	characteristic
309	#88168	—	4	2	no	—
310	#88168	—	4	2	no	—
311	#88165	—	2	4	no	—
312	M₁₆×D₁₃	—	4	2	no	—
313	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
314	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
315	C₂×#6095	C₂³	1	1	yes	characteristic
316	C₂×#6094	—	4	2	no	—
317	C₂×#6094	C₂³	1	1	yes	characteristic
318	C₂×#6094	C₂³	1	1	yes	characteristic
319	C₂×#6094	C₂³	1	1	yes	characteristic
320	C₂×#6094	C₂³	1	1	yes	characteristic
321	C₂×#6094	C₂³	1	1	yes	characteristic
322	C₂×#6094	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
325	#88152	—	2	1	no	—
326	#88152	—	2	1	no	—
327	#88152	—	2	1	no	—
328	#88150	—	2	1	no	—
329	#88150	—	2	1	no	—
330	#88150	—	2	1	no	—
331	#88150	—	2	1	no	—
332	#88149	—	2	1	no	—
333	#88149	—	2	1	no	—
334	#88149	—	2	1	no	—
335	#88149	C₂³	1	1	yes	characteristic
336	#88149	C₂³	1	1	yes	characteristic
337	#88149	C₂³	1	1	yes	characteristic
338	#88149	C₂³	1	1	yes	characteristic
339	#88148	—	2	1	no	—
340	#88148	—	2	1	no	—
341	#88148	—	2	1	no	—
342	#88148	—	2	1	no	—
343	#88147	—	2	1	no	—
344	#88147	—	2	1	no	—
345	#88147	—	2	1	no	—
346	#88147	—	2	1	no	—
347	#88147	—	2	1	no	—
348	#88147	—	2	1	no	—
349	#88147	—	2	1	no	—
350	#88147	—	2	1	no	—
351	#88147	—	2	1	no	—
352	#88147	D₄	1	1	yes	characteristic
353	#88147	C₂³	1	1	yes	characteristic
354	#88146	C₂³	1	1	yes	characteristic
355	#88146	C₂³	1	1	yes	characteristic
356	#88146	C₂³	1	1	yes	characteristic
357	C₄⋊C₄×D₁₃	—	2	1	no	—
358	C₄⋊C₄×D₁₃	—	2	1	no	—
359	C₄⋊C₄×D₁₃	—	2	1	no	—
360	C₄⋊C₄×D₁₃	—	2	1	no	—
361	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
362	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
363	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
364	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
365	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
366	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
367	#88144	C₂³	1	1	yes	characteristic
368	#88144	C₂³	1	1	yes	characteristic
369	#88143	—	2	1	no	—
370	#88143	—	2	1	no	—
371	#88142	—	2	1	no	—
372	#88141	C₂³	1	1	yes	characteristic
373	#88140	—	2	1	no	—
374	#88139	—	2	1	no	—
375	#88139	—	2	1	no	—
376	#88138	—	2	1	no	—
377	#88138	—	2	1	no	—
378	#88138	—	2	1	no	—
379	#88138	—	2	1	no	—
380	#88138	—	2	1	no	—
381	#88138	—	2	1	no	—
382	#88138	—	2	1	no	—
383	#88138	—	2	1	no	—
384	#88137	—	2	1	no	—
385	#88137	—	2	1	no	—
386	#88136	—	2	1	no	—
387	#88136	—	2	1	no	—
388	#88136	—	2	1	no	—
389	#88136	—	2	1	no	—
390	#88135	—	2	1	no	—
391	#88135	—	2	1	no	—
392	#88135	—	2	1	no	—
393	#88135	—	2	1	no	—
394	#88135	—	2	1	no	—
395	#88135	—	2	1	no	—
396	#88135	D₄	1	1	yes	characteristic
397	#88135	D₄	1	1	yes	characteristic
398	C₂²⋊C₄×D₁₃	—	2	1	no	—
399	C₂²⋊C₄×D₁₃	—	2	1	no	—
400	C₂²⋊C₄×D₁₃	—	2	1	no	—
401	C₂²⋊C₄×D₁₃	—	2	1	no	—
402	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
403	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
404	#88133	—	2	1	no	—
405	#88133	—	2	1	no	—
406	#88133	—	2	1	no	—
407	#88131	—	2	1	no	—
408	#88131	—	2	1	no	—
409	#88130	—	2	1	no	—
410	#88128	C₂³	1	1	yes	characteristic
411	C₄×D₅₂	—	2	1	no	—
412	C₄×D₅₂	C₂³	1	1	yes	characteristic
413	C₄×D₅₂	C₂³	1	1	yes	characteristic
414	#88126	—	2	1	no	—
415	C₄²×D₁₃	—	2	1	no	—
416	C₄²×D₁₃	C₂³	1	1	yes	characteristic
417	#88124	C₂³	1	1	yes	characteristic
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₁₃×#107	C₂³	1	1	yes	characteristic
420	C₁₃×#106	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#103	C₂³	1	1	yes	characteristic
427	C₁₃×#103	C₂³	1	1	yes	characteristic
428	C₁₃×#103	C₂³	1	1	yes	characteristic
429	C₁₃×#102	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	C₁₃×#102	C₂³	1	1	yes	characteristic
432	C₁₃×#102	C₂³	1	1	yes	characteristic
433	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₃×#97	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88075	C₂³	1	1	yes	characteristic
439	#88075	C₂³	1	1	yes	characteristic
440	#88075	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88061	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88061	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	#88058	C₂³	1	1	yes	characteristic
460	#88058	C₂³	1	1	yes	characteristic
461	#88057	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88054	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
468	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
469	#88050	C₂³	1	1	yes	characteristic
470	#88050	C₂³	1	1	yes	characteristic
471	#88050	C₂³	1	1	yes	characteristic
472	#88049	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88048	C₂³	1	1	yes	characteristic
481	#88048	C₂³	1	1	yes	characteristic
482	#88047	C₂³	1	1	yes	characteristic
483	#88047	C₂³	1	1	yes	characteristic
484	#88047	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	#88043	C₂³	1	1	yes	characteristic
487	#61164	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	—	2	1	no	—
490	C₂³×D₁₃	—	2	1	no	—
491	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
492	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
493	C₁₃×#41	—	2	2	no	—
494	C₁₃×#41	—	2	2	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₁₃×#41	—	4	1	no	—
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
504	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₁₃	—	2	1	no	—
507	C₂²×C₄×C₁₃	—	2	1	no	—
508	C₂²×C₄×C₁₃	—	2	1	no	—
509	C₂²×C₄×C₁₃	—	2	1	no	—
510	C₂²×C₄×C₁₃	—	2	1	no	—
511	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
526	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂²×Dic₁₃	—	2	1	no	—
528	C₂²×Dic₁₃	—	2	1	no	—
529	C₂²×Dic₁₃	—	2	1	no	—
530	C₂²×Dic₁₃	—	2	1	no	—
531	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
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	Q₈×D₁₃	—	2	2	no	—
538	Q₈×D₁₃	—	2	2	no	—
539	Q₈×D₁₃	—	4	1	no	—
540	Q₈×D₁₃	—	4	1	no	—
541	#6129	—	2	2	no	—
542	#6129	—	4	4	no	—
543	#6129	—	4	4	no	—
544	#6129	#41	1	4	yes	—
545	D₄×D₁₃	—	2	2	no	—
546	D₄×D₁₃	—	2	2	no	—
547	D₄×D₁₃	—	2	2	no	—
548	D₄×D₁₃	—	2	2	no	—
549	D₄×D₁₃	—	4	1	no	—
550	D₄×D₁₃	—	4	1	no	—
551	D₄×D₁₃	—	4	2	no	—
552	D₄×D₁₃	—	4	4	no	—
553	D₄×D₁₃	—	4	4	no	—
554	D₄×D₁₃	—	4	4	no	—
555	D₄×D₁₃	—	8	2	no	—
556	#6127	—	2	2	no	—
557	#6127	—	2	2	no	—
558	#6127	—	4	1	no	—
559	#6127	—	4	1	no	—
560	#6127	—	4	4	no	—
561	#6127	—	4	4	no	—
562	C₂×D₅₂	—	2	1	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	—	4	4	no	—
571	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
572	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
573	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
574	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
575	C₂×C₄×D₁₃	—	2	2	no	—
576	C₂×C₄×D₁₃	—	2	2	no	—
577	C₂×C₄×D₁₃	—	2	2	no	—
578	C₂×C₄×D₁₃	—	2	2	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	—	2	1	no	—
592	C₂×C₄×D₁₃	—	4	4	no	—
593	C₂×C₄×D₁₃	—	4	4	no	—
594	C₂×C₄×D₁₃	—	8	2	no	—
595	C₂×C₄×D₁₃	—	8	2	no	—
596	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
597	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
598	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
599	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
600	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
601	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
602	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
603	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
605	C₂×Dic₂₆	—	2	1	no	—
606	C₂×Dic₂₆	—	2	1	no	—
607	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
608	C₁₃×SD₁₆	—	4	1	no	—
609	C₁₃×SD₁₆	—	4	1	no	—
610	C₁₃×D₈	—	2	2	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	—	2	1	no	—
623	C₁₃×C₄⋊C₄	—	2	1	no	—
624	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	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	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
646	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
647	#6106	—	4	1	no	—
648	#6106	—	4	1	no	—
649	#6105	—	2	2	no	—
650	#6104	—	2	2	no	—
651	#6104	—	4	1	no	—
652	#6104	—	4	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	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	C₂×D₄	1	1	yes	characteristic
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	C₄⋊Dic₁₃	—	2	1	no	—
677	C₄⋊Dic₁₃	—	2	1	no	—
678	C₄⋊Dic₁₃	—	2	1	no	—
679	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
680	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
681	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
682	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
683	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	#6101	—	2	1	no	—
688	#6101	—	2	1	no	—
689	#6101	—	2	1	no	—
690	#6101	—	2	1	no	—
691	#6101	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
698	#6101	C₂×D₄	1	1	yes	characteristic
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	—	2	1	no	—
702	C₄×Dic₁₃	—	2	1	no	—
703	C₄×Dic₁₃	—	2	1	no	—
704	C₄×Dic₁₃	—	2	1	no	—
705	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
706	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
707	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
708	#6099	—	4	1	no	—
709	C₂×#1055	—	4	1	no	—
710	C₂×#1055	C₂⁴	1	1	yes	characteristic
711	C₂×#1055	C₂⁴	1	1	yes	characteristic
712	C₂×#1055	C₂⁴	1	1	yes	characteristic
713	C₂×#1055	C₂⁴	1	1	yes	characteristic
714	D₁₀₄	—	4	1	no	—
715	D₁₀₄	—	4	1	no	—
716	#6095	—	2	2	no	—
717	#6094	—	2	2	no	—
718	#6094	—	2	2	no	—
719	#6094	—	2	2	no	—
720	#6094	—	2	2	no	—
721	#6094	—	4	1	no	—
722	#6094	—	4	1	no	—
723	C₈×D₁₃	—	4	1	no	—
724	C₈×D₁₃	—	4	1	no	—
725	C₂×#553	—	13	1	no	—
726	D₄×#41	—	13	1	no	—
727	#3326	—	13	1	no	—
728	#3326	—	13	1	no	—
729	#3322	—	13	1	no	—
730	#3322	—	13	1	no	—
731	#3320	—	13	1	no	—
732	#3320	—	13	1	no	—
733	#3318	—	13	1	no	—
734	#3318	—	13	1	no	—
735	#3309	—	13	1	no	—
736	#3309	—	13	1	no	—
737	#3307	—	13	1	no	—
738	#3307	D₁₃	1	1	yes	characteristic, complemented
739	#3301	—	13	1	no	—
740	#3301	—	13	1	no	—
741	#3297	—	13	1	no	—
742	#3297	—	13	1	no	—
743	#3142	—	13	1	no	—
744	#3093	—	13	1	no	—
745	#3092	—	13	1	no	—
746	#3080	—	13	1	no	—
747	#3055	—	13	1	no	—
748	#3055	—	13	1	no	—
749	#3036	—	13	1	no	—
750	#3006	—	13	1	no	—
751	#3006	—	13	1	no	—
752	C₄×AGL(1,ℤ/8)	—	13	1	no	—
753	D₄×M₁₆	—	13	1	no	—
754	#2896	—	13	1	no	—
755	C₂×#417	—	13	1	no	—
756	C₂³×C₁₃	—	2	1	no	—
757	C₂³×C₁₃	—	2	1	no	—
758	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
759	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
760	C₂²×D₁₃	—	2	2	no	—
761	C₂²×D₁₃	—	2	2	no	—
762	C₂²×D₁₃	—	2	2	no	—
763	C₂²×D₁₃	—	2	1	no	—
764	C₂²×D₁₃	—	2	1	no	—
765	C₂²×D₁₃	—	2	1	no	—
766	C₂²×D₁₃	—	4	1	no	—
767	C₂²×D₁₃	—	4	1	no	—
768	C₂²×D₁₃	—	4	1	no	—
769	C₂²×D₁₃	—	4	2	no	—
770	C₂²×D₁₃	—	4	2	no	—
771	C₂²×D₁₃	—	4	2	no	—
772	C₂²×D₁₃	—	4	2	no	—
773	C₂²×D₁₃	—	4	2	no	—
774	C₂²×D₁₃	—	4	2	no	—
775	C₂²×D₁₃	—	4	2	no	—
776	C₂²×D₁₃	—	8	1	no	—
777	C₂²×D₁₃	—	8	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	D₄×C₁₃	—	2	1	no	—
786	D₄×C₁₃	—	2	1	no	—
787	D₄×C₁₃	—	2	1	no	—
788	D₄×C₁₃	—	4	1	no	—
789	D₄×C₁₃	—	4	2	no	—
790	D₄×C₁₃	—	4	2	no	—
791	D₄×C₁₃	—	4	2	no	—
792	D₄×C₁₃	—	8	1	no	—
793	D₄×C₁₃	C₂×#41	1	2	yes	—
794	C₂×C₄×C₁₃	—	2	1	no	—
795	C₂×C₄×C₁₃	—	2	1	no	—
796	C₂×C₄×C₁₃	—	2	1	no	—
797	C₂×C₄×C₁₃	—	2	1	no	—
798	C₂×C₄×C₁₃	—	2	1	no	—
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	—	4	2	no	—
805	C₂×C₄×C₁₃	—	4	2	no	—
806	C₂×C₄×C₁₃	—	4	2	no	—
807	C₂×C₄×C₁₃	—	8	1	no	—
808	C₂×C₄×C₁₃	—	8	1	no	—
809	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
814	C₂²⋊D₁₃	—	2	4	no	—
815	C₂²⋊D₁₃	—	2	2	no	—
816	C₂²⋊D₁₃	—	4	1	no	—
817	C₂²⋊D₁₃	—	4	2	no	—
818	C₂²⋊D₁₃	—	4	2	no	—
819	C₂²⋊D₁₃	—	4	2	no	—
820	C₂²⋊D₁₃	—	4	2	no	—
821	C₂²⋊D₁₃	—	4	2	no	—
822	C₂²⋊D₁₃	—	4	2	no	—
823	C₂²⋊D₁₃	—	4	2	no	—
824	C₂²⋊D₁₃	—	8	1	no	—
825	C₂²⋊D₁₃	—	8	1	no	—
826	C₂²⋊D₁₃	—	8	1	no	—
827	C₂²⋊D₁₃	—	8	1	no	—
828	C₂×Dic₁₃	—	2	1	no	—
829	C₂×Dic₁₃	—	2	2	no	—
830	C₂×Dic₁₃	—	2	2	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	—	8	1	no	—
837	C₂×Dic₁₃	—	8	1	no	—
838	C₂×Dic₁₃	—	8	1	no	—
839	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
840	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
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	D₅₂	—	2	2	no	—
845	D₅₂	—	2	1	no	—
846	D₅₂	—	2	1	no	—
847	D₅₂	—	2	1	no	—
848	D₅₂	—	2	1	no	—
849	D₅₂	—	2	1	no	—
850	D₅₂	—	2	1	no	—
851	D₅₂	—	4	2	no	—
852	D₅₂	—	4	2	no	—
853	D₅₂	—	4	2	no	—
854	D₅₂	—	4	2	no	—
855	D₅₂	—	4	2	no	—
856	D₅₂	—	4	2	no	—
857	D₅₂	—	8	1	no	—
858	D₅₂	—	8	1	no	—
859	C₄×D₁₃	—	2	2	no	—
860	C₄×D₁₃	—	2	2	no	—
861	C₄×D₁₃	—	2	1	no	—
862	C₄×D₁₃	—	2	1	no	—
863	C₄×D₁₃	—	2	1	no	—
864	C₄×D₁₃	—	2	1	no	—
865	C₄×D₁₃	—	2	2	no	—
866	C₄×D₁₃	—	2	2	no	—
867	C₄×D₁₃	—	4	1	no	—
868	C₄×D₁₃	—	4	1	no	—
869	C₄×D₁₃	—	4	2	no	—
870	C₄×D₁₃	—	4	2	no	—
871	C₄×D₁₃	—	4	2	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	—	8	1	no	—
879	C₄×D₁₃	—	8	1	no	—
880	C₄×D₁₃	—	8	1	no	—
881	C₄×D₁₃	—	8	1	no	—
882	C₄×D₁₃	C₂×#41	1	2	yes	—
883	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
884	Dic₂₆	—	2	1	no	—
885	Dic₂₆	—	4	2	no	—
886	Dic₂₆	—	4	2	no	—
887	Dic₂₆	C₂×#41	1	2	yes	—
888	C₈×C₁₃	—	2	1	no	—
889	C₈×C₁₃	—	2	1	no	—
890	C₈×C₁₃	—	2	1	no	—
891	C₈×C₁₃	—	2	1	no	—
892	#1055	—	2	1	no	—
893	#1055	—	2	1	no	—
894	#1055	—	2	1	no	—
895	#1055	—	2	1	no	—
896	C₂²×#41	—	13	1	no	—
897	C₂²×#41	—	13	1	no	—
898	C₂×AGL(1,ℤ/8)	—	13	1	no	—
899	C₂×AGL(1,ℤ/8)	—	13	1	no	—
900	C₂×AGL(1,ℤ/8)	—	13	1	no	—
901	C₂²×M₁₆	—	13	1	no	—
902	C₂²×M₁₆	—	13	1	no	—
903	#553	—	13	1	no	—
904	#553	—	13	1	no	—
905	#553	—	13	1	no	—
906	#553	—	13	1	no	—
907	#553	—	13	1	no	—
908	#553	—	13	1	no	—
909	#553	—	13	1	no	—
910	#553	—	26	1	no	—
911	#553	—	26	1	no	—
912	#553	—	26	1	no	—
913	#553	—	26	1	no	—
914	#553	C₂×D₁₃	1	1	yes	characteristic, complemented
915	#550	—	13	1	no	—
916	D₄×Q₈	—	13	1	no	—
917	#548	—	13	1	no	—
918	#548	—	13	1	no	—
919	#547	—	26	1	no	—
920	#547	C₂×D₁₃	1	1	yes	characteristic, complemented
921	#546	—	13	1	no	—
922	#546	—	13	1	no	—
923	#546	—	26	1	no	—
924	#546	—	26	1	no	—
925	D₄²	—	13	1	no	—
926	D₄²	—	26	1	no	—
927	#532	—	13	1	no	—
928	#532	—	26	1	no	—
929	C₂×#126	—	26	1	no	—
930	C₂×#125	—	13	1	no	—
931	#525	—	13	1	no	—
932	#525	—	13	1	no	—
933	#525	—	26	1	no	—
934	#525	—	26	1	no	—
935	C₂×#123	—	26	1	no	—
936	C₂×#121	—	13	1	no	—
937	C₂×#121	—	13	1	no	—
938	C₂×#121	—	26	1	no	—
939	C₄×#41	—	13	1	no	—
940	C₂×C₄×D₄	—	13	1	no	—
941	C₂×C₄×D₄	—	13	1	no	—
942	C₂×C₄×D₄	—	26	1	no	—
943	C₂×C₄×D₄	—	26	1	no	—
944	C₂×#117	—	13	1	no	—
945	C₂²×C₄⋊C₄	—	13	1	no	—
946	#491	—	13	1	no	—
947	#491	C₂×D₁₃	1	1	yes	characteristic, complemented
948	#490	—	13	1	no	—
949	#490	—	13	1	no	—
950	#488	—	13	1	no	—
951	#488	—	13	1	no	—
952	#488	—	13	1	no	—
953	#488	—	13	1	no	—
954	#485	—	13	1	no	—
955	#485	—	13	1	no	—
956	#485	—	13	1	no	—
957	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
958	#484	—	13	1	no	—
959	#484	—	13	1	no	—
960	#483	—	13	1	no	—
961	#483	C₂×D₁₃	1	1	yes	characteristic, complemented
962	#482	—	13	1	no	—
963	#482	—	13	1	no	—
964	#482	—	13	1	no	—
965	#482	—	13	1	no	—
966	#481	—	13	1	no	—
967	#481	—	13	1	no	—
968	#480	—	13	1	no	—
969	#480	—	13	1	no	—
970	#479	—	13	1	no	—
971	#479	—	13	1	no	—
972	#479	—	13	1	no	—
973	#479	—	13	1	no	—
974	#478	—	13	1	no	—
975	#478	—	13	1	no	—
976	#478	—	13	1	no	—
977	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
978	#469	—	13	1	no	—
979	#469	—	13	1	no	—
980	#469	—	13	1	no	—
981	#469	—	13	1	no	—
982	#468	—	13	1	no	—
983	#468	—	13	1	no	—
984	#468	—	13	1	no	—
985	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
986	#466	—	13	1	no	—
987	#466	—	13	1	no	—
988	#466	—	13	1	no	—
989	#466	—	13	1	no	—
990	#465	—	13	1	no	—
991	#465	—	13	1	no	—
992	#465	—	13	1	no	—
993	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
994	#463	—	13	1	no	—
995	#463	—	13	1	no	—
996	#463	—	13	1	no	—
997	#463	—	13	1	no	—
998	#461	—	13	1	no	—
999	#461	C₂×D₁₃	1	1	yes	characteristic, complemented
1000	#459	—	13	1	no	—
1001	#459	—	13	1	no	—
1002	#449	—	13	1	no	—
1003	#449	—	13	1	no	—
1004	#449	—	13	1	no	—
1005	#449	—	13	1	no	—
1006	#449	—	13	1	no	—
1007	#449	—	13	1	no	—
1008	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1009	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1010	#448	—	13	1	no	—
1011	#448	—	13	1	no	—
1012	#448	—	13	1	no	—
1013	#448	—	13	1	no	—
1014	#447	—	13	1	no	—
1015	#447	—	13	1	no	—
1016	#447	—	13	1	no	—
1017	#447	—	13	1	no	—
1018	#442	—	13	1	no	—
1019	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
1020	#440	—	13	1	no	—
1021	#440	—	13	1	no	—
1022	C₄×SD₁₆	—	13	1	no	—
1023	C₄×SD₁₆	—	13	1	no	—
1024	C₄×D₈	—	13	1	no	—
1025	C₄×D₈	—	13	1	no	—
1026	#436	—	13	1	no	—
1027	#436	—	13	1	no	—
1028	#435	—	13	1	no	—
1029	#435	—	13	1	no	—
1030	#435	—	13	1	no	—
1031	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1032	C₈×D₄	—	13	1	no	—
1033	C₈×D₄	—	13	1	no	—
1034	#428	—	13	1	no	—
1035	#428	—	13	1	no	—
1036	#428	—	13	1	no	—
1037	#423	—	13	1	no	—
1038	#419	—	13	1	no	—
1039	#419	—	13	1	no	—
1040	#418	—	13	1	no	—
1041	#418	—	13	1	no	—
1042	#418	—	13	1	no	—
1043	#417	—	13	1	no	—
1044	#417	—	13	1	no	—
1045	#417	—	13	1	no	—
1046	#417	—	13	1	no	—
1047	#417	—	13	1	no	—
1048	#417	—	13	1	no	—
1049	#417	—	13	1	no	—
1050	#417	—	13	1	no	—
1051	#417	—	13	1	no	—
1052	#417	—	13	1	no	—
1053	#417	—	13	1	no	—
1054	#417	—	13	1	no	—
1055	#417	C₂×D₁₃	1	1	yes	characteristic, complemented
1056	#416	—	13	1	no	—
1057	#416	—	13	1	no	—
1058	#416	—	13	1	no	—
1059	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1060	C₂×#103	—	13	1	no	—
1061	C₂×#103	—	13	1	no	—
1062	C₂×#102	—	13	1	no	—
1063	C₂×#102	—	13	1	no	—
1064	#407	—	13	1	no	—
1065	#407	—	13	1	no	—
1066	C₄×M₁₆	—	13	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	—	2	1	no	—
1073	C₂²×C₁₃	—	2	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	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	—	4	4	no	—
1088	C₂×D₁₃	—	4	1	no	—
1089	C₂×D₁₃	—	4	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	—	8	2	no	—
1098	C₂×D₁₃	—	8	4	no	—
1099	C₂×D₁₃	—	8	4	no	—
1100	C₂×D₁₃	—	8	4	no	—
1101	C₂×D₁₃	#546	1	2	yes	—
1102	C₂×D₁₃	#575	1	2	yes	—
1103	C₄×C₁₃	—	2	1	no	—
1104	C₄×C₁₃	—	2	1	no	—
1105	C₄×C₁₃	—	2	1	no	—
1106	C₄×C₁₃	—	2	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	—	4	1	no	—
1113	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1114	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1115	Dic₁₃	—	2	1	no	—
1116	Dic₁₃	—	2	2	no	—
1117	Dic₁₃	—	2	1	no	—
1118	Dic₁₃	—	2	1	no	—
1119	Dic₁₃	—	2	1	no	—
1120	Dic₁₃	—	4	1	no	—
1121	Dic₁₃	—	4	1	no	—
1122	Dic₁₃	—	4	1	no	—
1123	Dic₁₃	—	4	1	no	—
1124	Dic₁₃	#546	1	2	yes	—
1125	C₂×#41	—	13	1	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	—	26	1	no	—
1131	C₂×#41	—	26	1	no	—
1132	C₂×#41	—	26	1	no	—
1133	C₂×#41	—	26	1	no	—
1134	C₂×#41	—	26	4	no	—
1135	C₂×#41	—	26	4	no	—
1136	C₂×#41	—	52	2	no	—
1137	C₂×#41	—	52	2	no	—
1138	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1139	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1140	C₂²×Q₈	—	13	1	no	—
1141	C₂²×Q₈	—	13	1	no	—
1142	C₂²×D₄	—	13	1	no	—
1143	C₂²×D₄	—	13	1	no	—
1144	C₂²×D₄	—	13	1	no	—
1145	C₂²×D₄	—	13	1	no	—
1146	C₂²×D₄	—	26	1	no	—
1147	C₂²×D₄	—	26	1	no	—
1148	C₂²×D₄	—	26	1	no	—
1149	C₂²×D₄	—	26	1	no	—
1150	C₂²×D₄	—	26	1	no	—
1151	C₂³×C₄	—	13	1	no	—
1152	C₂³×C₄	—	13	1	no	—
1153	C₂³×C₄	—	26	1	no	—
1154	C₂³×C₄	—	26	1	no	—
1155	C₂³×C₄	—	26	1	no	—
1156	C₂³×C₄	—	26	1	no	—
1157	AGL(1,ℤ/8)	—	26	4	no	—
1158	AGL(1,ℤ/8)	—	52	2	no	—
1159	AGL(1,ℤ/8)	—	52	2	no	—
1160	C₂×SD₁₆	—	13	1	no	—
1161	C₂×SD₁₆	—	13	1	no	—
1162	C₂×SD₁₆	—	13	1	no	—
1163	C₂×SD₁₆	—	13	1	no	—
1164	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1165	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1166	C₂×D₈	—	13	1	no	—
1167	C₂×D₈	—	13	1	no	—
1168	C₂×D₈	—	13	1	no	—
1169	C₂×D₈	—	13	1	no	—
1170	C₂×D₈	—	13	1	no	—
1171	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1172	C₂×M₁₆	—	13	1	no	—
1173	C₂×M₁₆	—	13	1	no	—
1174	C₂×M₁₆	—	13	1	no	—
1175	C₂×M₁₆	—	13	1	no	—
1176	C₂×M₁₆	—	13	1	no	—
1177	C₂×M₁₆	—	13	1	no	—
1178	C₂×M₁₆	—	13	1	no	—
1179	C₂×M₁₆	—	52	2	no	—
1180	C₂×M₁₆	—	52	2	no	—
1181	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1182	C₂²×C₈	—	13	1	no	—
1183	C₂²×C₈	—	13	1	no	—
1184	C₂²×C₈	—	13	1	no	—
1185	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1186	C₄⋊Q₈	—	26	1	no	—
1187	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1188	#127	—	13	1	no	—
1189	#127	—	26	1	no	—
1190	#126	—	2	1	no	—
1191	#126	—	26	1	no	—
1192	#126	—	26	1	no	—
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	#125	—	13	1	no	—
1199	#125	—	13	1	no	—
1200	#125	—	13	1	no	—
1201	#125	—	26	1	no	—
1202	#125	—	26	1	no	—
1203	#125	C₂²×D₁₃	1	1	yes	characteristic
1204	#124	—	13	1	no	—
1205	#124	—	13	1	no	—
1206	#124	—	26	1	no	—
1207	#124	—	26	1	no	—
1208	#123	—	2	1	no	—
1209	#123	—	2	1	no	—
1210	#123	—	2	1	no	—
1211	#123	—	26	1	no	—
1212	#123	—	26	1	no	—
1213	#123	—	26	1	no	—
1214	#123	—	26	1	no	—
1215	#123	—	26	1	no	—
1216	#123	—	26	1	no	—
1217	#123	—	26	1	no	—
1218	#123	—	26	1	no	—
1219	#123	—	26	1	no	—
1220	#123	—	26	1	no	—
1221	#123	—	26	1	no	—
1222	C₂²⋊Q₈	—	13	1	no	—
1223	C₂²⋊Q₈	—	13	1	no	—
1224	C₂²⋊Q₈	—	26	1	no	—
1225	C₂²⋊Q₈	—	26	1	no	—
1226	C₂²⋊Q₈	—	26	1	no	—
1227	C₂²⋊Q₈	—	26	1	no	—
1228	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1229	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1230	#121	—	2	1	no	—
1231	#121	—	2	1	no	—
1232	#121	—	13	1	no	—
1233	#121	—	13	1	no	—
1234	#121	—	13	1	no	—
1235	#121	—	13	1	no	—
1236	#121	—	13	1	no	—
1237	#121	—	13	1	no	—
1238	#121	—	13	1	no	—
1239	#121	—	13	1	no	—
1240	#121	—	13	1	no	—
1241	#121	—	13	1	no	—
1242	#121	—	26	1	no	—
1243	#121	—	26	1	no	—
1244	#121	—	26	1	no	—
1245	#121	—	26	1	no	—
1246	#121	—	26	1	no	—
1247	#121	—	26	1	no	—
1248	#121	—	26	1	no	—
1249	#121	—	26	1	no	—
1250	#121	—	26	1	no	—
1251	#121	—	26	1	no	—
1252	#121	—	26	1	no	—
1253	#121	—	26	1	no	—
1254	#121	—	26	1	no	—
1255	#121	—	26	1	no	—
1256	#121	—	26	1	no	—
1257	#121	—	26	1	no	—
1258	#121	—	26	1	no	—
1259	#121	—	26	1	no	—
1260	#121	—	26	1	no	—
1261	#121	—	26	1	no	—
1262	#121	C₂²×D₁₃	1	1	yes	characteristic
1263	#121	C₂²×D₁₃	1	1	yes	characteristic
1264	#120	—	26	1	no	—
1265	#120	—	26	1	no	—
1266	#120	—	26	1	no	—
1267	#120	—	26	1	no	—
1268	#120	—	26	1	no	—
1269	#120	—	26	1	no	—
1270	C₄×Q₈	—	13	1	no	—
1271	C₄×Q₈	—	13	1	no	—
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	13	1	no	—
1274	C₄×D₄	—	13	1	no	—
1275	C₄×D₄	—	13	1	no	—
1276	C₄×D₄	—	13	1	no	—
1277	C₄×D₄	—	13	1	no	—
1278	C₄×D₄	—	13	1	no	—
1279	C₄×D₄	—	13	1	no	—
1280	C₄×D₄	—	13	1	no	—
1281	C₄×D₄	—	13	1	no	—
1282	C₄×D₄	—	13	1	no	—
1283	C₄×D₄	—	13	1	no	—
1284	C₄×D₄	—	26	1	no	—
1285	C₄×D₄	—	26	1	no	—
1286	C₄×D₄	—	26	1	no	—
1287	C₄×D₄	—	26	1	no	—
1288	C₄×D₄	—	26	1	no	—
1289	C₄×D₄	—	26	1	no	—
1290	C₄×D₄	—	26	1	no	—
1291	C₄×D₄	—	26	1	no	—
1292	C₄×D₄	—	26	1	no	—
1293	C₄×D₄	—	26	1	no	—
1294	C₄×D₄	—	26	1	no	—
1295	C₄×D₄	—	26	1	no	—
1296	C₄×D₄	—	26	1	no	—
1297	C₄×D₄	—	26	1	no	—
1298	C₄×D₄	—	26	1	no	—
1299	C₄×D₄	—	26	1	no	—
1300	C₄×D₄	—	26	1	no	—
1301	C₄×D₄	—	26	1	no	—
1302	C₄×D₄	—	26	1	no	—
1303	C₄×D₄	—	26	1	no	—
1304	C₄×D₄	—	26	1	no	—
1305	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1306	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1307	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1308	#117	—	13	1	no	—
1309	#117	—	13	1	no	—
1310	#117	—	13	1	no	—
1311	#117	—	13	1	no	—
1312	#117	—	26	1	no	—
1313	#117	—	26	1	no	—
1314	#117	—	26	1	no	—
1315	#117	C₂²×D₁₃	1	1	yes	characteristic
1316	C₂×C₄⋊C₄	—	2	1	no	—
1317	C₂×C₄⋊C₄	—	13	1	no	—
1318	C₂×C₄⋊C₄	—	13	1	no	—
1319	C₂×C₄⋊C₄	—	13	1	no	—
1320	C₂×C₄⋊C₄	—	13	1	no	—
1321	C₂×C₄⋊C₄	—	13	1	no	—
1322	C₂×C₄⋊C₄	—	13	1	no	—
1323	C₂×C₄⋊C₄	—	13	1	no	—
1324	C₂×C₄⋊C₄	—	26	1	no	—
1325	C₂×C₄⋊C₄	—	26	1	no	—
1326	C₂×C₄⋊C₄	—	26	1	no	—
1327	C₂×C₄⋊C₄	—	26	1	no	—
1328	C₂×C₄⋊C₄	—	26	1	no	—
1329	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1330	C₂×C₂²⋊C₄	—	13	1	no	—
1331	C₂×C₂²⋊C₄	—	13	1	no	—
1332	C₂×C₂²⋊C₄	—	26	1	no	—
1333	C₂×C₂²⋊C₄	—	26	1	no	—
1334	C₂×C₂²⋊C₄	—	26	1	no	—
1335	C₂×C₂²⋊C₄	—	26	1	no	—
1336	C₂×C₂²⋊C₄	—	26	1	no	—
1337	C₂×C₂²⋊C₄	—	26	1	no	—
1338	C₂×C₄²	—	13	1	no	—
1339	C₂×C₄²	—	26	1	no	—
1340	C₂×C₄²	—	26	1	no	—
1341	#107	—	13	1	no	—
1342	#107	—	13	1	no	—
1343	#107	—	13	1	no	—
1344	#107	—	13	1	no	—
1345	#107	—	13	1	no	—
1346	#107	C₂²×D₁₃	1	1	yes	characteristic
1347	#106	—	13	1	no	—
1348	#106	—	13	1	no	—
1349	#106	—	13	1	no	—
1350	#106	—	13	1	no	—
1351	#106	C₂²×D₁₃	1	1	yes	characteristic
1352	#106	C₂²×D₁₃	1	1	yes	characteristic
1353	C₄⋊C₈	—	13	1	no	—
1354	C₄⋊C₈	—	13	1	no	—
1355	C₄⋊C₈	—	13	1	no	—
1356	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
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	C₂²×D₁₃	1	1	yes	characteristic
1370	#103	C₂²×D₁₃	1	1	yes	characteristic
1371	#103	C₂²×D₁₃	1	1	yes	characteristic
1372	#103	C₂²×D₁₃	1	1	yes	characteristic
1373	#103	C₂²×D₁₃	1	1	yes	characteristic
1374	#103	C₂²×D₁₃	1	1	yes	characteristic
1375	#102	—	13	1	no	—
1376	#102	—	13	1	no	—
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	—	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	C₂²×D₁₃	1	1	yes	characteristic
1394	#102	C₂²×D₁₃	1	1	yes	characteristic
1395	#102	C₂²×D₁₃	1	1	yes	characteristic
1396	#102	C₂²×D₁₃	1	1	yes	characteristic
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	C₂²×D₁₃	1	1	yes	characteristic
1404	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1405	#97	—	13	1	no	—
1406	#97	C₂²×D₁₃	1	1	yes	characteristic
1407	C₄×C₈	—	13	1	no	—
1408	C₄×C₈	—	13	1	no	—
1409	C₂×C₁₃	—	4	1	no	—
1410	C₂×C₁₃	—	4	2	no	—
1411	C₂×C₁₃	—	4	1	no	—
1412	C₂×C₁₃	—	8	1	no	—
1413	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1414	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1415	C₂×C₁₃	#3585	1	1	yes	characteristic
1416	D₁₃	—	2	2	no	—
1417	D₁₃	—	2	2	no	—
1418	D₁₃	—	4	1	no	—
1419	D₁₃	—	8	1	no	—
1420	D₁₃	—	8	1	no	—
1421	D₁₃	—	8	1	no	—
1422	C₂⁴	—	13	1	no	—
1423	C₂⁴	—	13	1	no	—
1424	C₂⁴	—	26	1	no	—
1425	C₂⁴	—	26	1	no	—
1426	C₂⁴	—	26	1	no	—
1427	#41	—	2	2	no	—
1428	#41	—	2	2	no	—
1429	#41	—	4	1	no	—
1430	#41	—	4	1	no	—
1431	#41	—	13	4	no	—
1432	#41	—	26	2	no	—
1433	#41	—	26	2	no	—
1434	#41	—	26	2	no	—
1435	#41	—	26	2	no	—
1436	#41	—	26	2	no	—
1437	#41	—	26	2	no	—
1438	#41	—	26	2	no	—
1439	#41	—	52	1	no	—
1440	#41	—	52	1	no	—
1441	#41	—	52	4	no	—
1442	#41	—	52	4	no	—
1443	#41	—	52	4	no	—
1444	#41	—	52	4	no	—
1445	C₂×Q₈	—	13	1	no	—
1446	C₂×Q₈	—	26	1	no	—
1447	C₂×Q₈	—	26	1	no	—
1448	C₂×Q₈	—	26	2	no	—
1449	C₂×Q₈	—	26	2	no	—
1450	C₂×Q₈	—	52	1	no	—
1451	C₂×Q₈	—	52	1	no	—
1452	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1453	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1454	C₂×D₄	—	2	1	no	—
1455	C₂×D₄	—	2	1	no	—
1456	C₂×D₄	—	2	1	no	—
1457	C₂×D₄	—	2	1	no	—
1458	C₂×D₄	—	13	1	no	—
1459	C₂×D₄	—	13	1	no	—
1460	C₂×D₄	—	13	1	no	—
1461	C₂×D₄	—	13	1	no	—
1462	C₂×D₄	—	13	1	no	—
1463	C₂×D₄	—	13	1	no	—
1464	C₂×D₄	—	26	1	no	—
1465	C₂×D₄	—	26	1	no	—
1466	C₂×D₄	—	26	1	no	—
1467	C₂×D₄	—	26	1	no	—
1468	C₂×D₄	—	26	1	no	—
1469	C₂×D₄	—	26	1	no	—
1470	C₂×D₄	—	26	2	no	—
1471	C₂×D₄	—	26	2	no	—
1472	C₂×D₄	—	26	1	no	—
1473	C₂×D₄	—	26	1	no	—
1474	C₂×D₄	—	26	1	no	—
1475	C₂×D₄	—	26	1	no	—
1476	C₂×D₄	—	26	2	no	—
1477	C₂×D₄	—	26	2	no	—
1478	C₂×D₄	—	26	1	no	—
1479	C₂×D₄	—	26	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	—	52	4	no	—
1489	C₂×D₄	—	52	1	no	—
1490	C₂×D₄	—	52	1	no	—
1491	C₂×D₄	—	52	2	no	—
1492	C₂×D₄	—	52	4	no	—
1493	C₂×D₄	—	52	4	no	—
1494	C₂×D₄	—	52	4	no	—
1495	C₂×D₄	—	104	2	no	—
1496	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1497	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1498	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1499	C₂²×C₄	—	2	1	no	—
1500	C₂²×C₄	—	2	1	no	—
1501	C₂²×C₄	—	2	1	no	—
1502	C₂²×C₄	—	2	1	no	—
1503	C₂²×C₄	—	2	1	no	—
1504	C₂²×C₄	—	13	1	no	—
1505	C₂²×C₄	—	13	1	no	—
1506	C₂²×C₄	—	13	1	no	—
1507	C₂²×C₄	—	13	1	no	—
1508	C₂²×C₄	—	13	1	no	—
1509	C₂²×C₄	—	13	1	no	—
1510	C₂²×C₄	—	13	1	no	—
1511	C₂²×C₄	—	13	1	no	—
1512	C₂²×C₄	—	13	1	no	—
1513	C₂²×C₄	—	13	1	no	—
1514	C₂²×C₄	—	13	1	no	—
1515	C₂²×C₄	—	26	2	no	—
1516	C₂²×C₄	—	26	2	no	—
1517	C₂²×C₄	—	26	2	no	—
1518	C₂²×C₄	—	26	2	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	—	26	1	no	—
1533	C₂²×C₄	—	26	1	no	—
1534	C₂²×C₄	—	26	1	no	—
1535	C₂²×C₄	—	26	1	no	—
1536	C₂²×C₄	—	52	4	no	—
1537	C₂²×C₄	—	52	4	no	—
1538	C₂²×C₄	—	104	2	no	—
1539	C₂²×C₄	—	104	2	no	—
1540	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1541	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1542	SD₁₆	—	4	1	no	—
1543	SD₁₆	—	4	1	no	—
1544	SD₁₆	—	26	2	no	—
1545	SD₁₆	—	26	2	no	—
1546	SD₁₆	—	52	1	no	—
1547	SD₁₆	—	52	1	no	—
1548	D₈	—	2	2	no	—
1549	D₈	—	26	2	no	—
1550	D₈	—	52	1	no	—
1551	D₈	—	52	1	no	—
1552	D₈	—	52	1	no	—
1553	D₈	—	52	1	no	—
1554	M₁₆	—	4	1	no	—
1555	M₁₆	—	26	2	no	—
1556	M₁₆	—	26	2	no	—
1557	M₁₆	—	26	2	no	—
1558	M₁₆	—	26	2	no	—
1559	M₁₆	—	52	1	no	—
1560	M₁₆	—	52	1	no	—
1561	M₁₆	—	52	1	no	—
1562	C₂×C₈	—	4	1	no	—
1563	C₂×C₈	—	13	1	no	—
1564	C₂×C₈	—	13	1	no	—
1565	C₂×C₈	—	13	1	no	—
1566	C₂×C₈	—	13	1	no	—
1567	C₂×C₈	—	52	1	no	—
1568	C₂×C₈	—	52	1	no	—
1569	C₂×C₈	—	52	1	no	—
1570	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1571	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1572	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1573	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1574	C₄⋊C₄	—	2	1	no	—
1575	C₄⋊C₄	—	2	1	no	—
1576	C₄⋊C₄	—	2	1	no	—
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	—	13	1	no	—
1582	C₄⋊C₄	—	13	1	no	—
1583	C₄⋊C₄	—	13	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	—	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	D₄×D₁₃	1	1	yes	characteristic
1605	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1606	C₄⋊C₄	C₂³×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	—	13	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	—	26	1	no	—
1623	C₂²⋊C₄	—	26	1	no	—
1624	C₂²⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1647	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1648	C₄²	—	2	1	no	—
1649	C₄²	—	13	1	no	—
1650	C₄²	—	13	1	no	—
1651	C₄²	—	13	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	#61164	1	1	yes	characteristic, complemented, Sylow
1660	C₂³	—	2	1	no	—
1661	C₂³	—	2	1	no	—
1662	C₂³	—	13	1	no	—
1663	C₂³	—	13	1	no	—
1664	C₂³	—	13	1	no	—
1665	C₂³	—	26	2	no	—
1666	C₂³	—	26	2	no	—
1667	C₂³	—	26	2	no	—
1668	C₂³	—	26	1	no	—
1669	C₂³	—	26	1	no	—
1670	C₂³	—	26	1	no	—
1671	C₂³	—	52	1	no	—
1672	C₂³	—	52	1	no	—
1673	C₂³	—	52	1	no	—
1674	C₂³	—	52	2	no	—
1675	C₂³	—	52	2	no	—
1676	C₂³	—	52	2	no	—
1677	C₂³	—	52	2	no	—
1678	C₂³	—	52	2	no	—
1679	C₂³	—	52	2	no	—
1680	C₂³	—	52	2	no	—
1681	C₂³	—	104	1	no	—
1682	C₂³	—	104	1	no	—
1683	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1684	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1685	Q₈	—	2	1	no	—
1686	Q₈	—	2	1	no	—
1687	Q₈	—	2	1	no	—
1688	Q₈	—	2	1	no	—
1689	Q₈	—	13	2	no	—
1690	Q₈	—	26	1	no	—
1691	Q₈	—	52	2	no	—
1692	Q₈	—	52	2	no	—
1693	D₄	—	2	1	no	—
1694	D₄	—	2	1	no	—
1695	D₄	—	2	1	no	—
1696	D₄	—	4	1	no	—
1697	D₄	—	4	2	no	—
1698	D₄	—	4	2	no	—
1699	D₄	—	4	2	no	—
1700	D₄	—	8	1	no	—
1701	D₄	—	26	2	no	—
1702	D₄	—	26	2	no	—
1703	D₄	—	26	4	no	—
1704	D₄	—	26	1	no	—
1705	D₄	—	26	1	no	—
1706	D₄	—	26	1	no	—
1707	D₄	—	26	1	no	—
1708	D₄	—	26	1	no	—
1709	D₄	—	26	1	no	—
1710	D₄	—	52	2	no	—
1711	D₄	—	52	2	no	—
1712	D₄	—	52	2	no	—
1713	D₄	—	52	2	no	—
1714	D₄	—	52	2	no	—
1715	D₄	—	52	2	no	—
1716	D₄	—	52	2	no	—
1717	D₄	—	52	1	no	—
1718	D₄	—	52	2	no	—
1719	D₄	—	52	2	no	—
1720	D₄	—	52	2	no	—
1721	D₄	—	52	2	no	—
1722	D₄	—	52	2	no	—
1723	D₄	—	52	2	no	—
1724	D₄	—	104	1	no	—
1725	D₄	—	104	1	no	—
1726	D₄	—	104	1	no	—
1727	D₄	—	104	1	no	—
1728	D₄	—	104	1	no	—
1729	D₄	—	104	1	no	—
1730	D₄	#41×D₁₃	1	2	yes	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	4	2	no	—
1742	C₂×C₄	—	4	2	no	—
1743	C₂×C₄	—	4	2	no	—
1744	C₂×C₄	—	8	1	no	—
1745	C₂×C₄	—	8	1	no	—
1746	C₂×C₄	—	13	1	no	—
1747	C₂×C₄	—	13	2	no	—
1748	C₂×C₄	—	13	2	no	—
1749	C₂×C₄	—	13	1	no	—
1750	C₂×C₄	—	13	1	no	—
1751	C₂×C₄	—	13	1	no	—
1752	C₂×C₄	—	13	1	no	—
1753	C₂×C₄	—	26	2	no	—
1754	C₂×C₄	—	26	2	no	—
1755	C₂×C₄	—	26	2	no	—
1756	C₂×C₄	—	26	2	no	—
1757	C₂×C₄	—	26	2	no	—
1758	C₂×C₄	—	26	2	no	—
1759	C₂×C₄	—	26	4	no	—
1760	C₂×C₄	—	26	1	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	—	52	1	no	—
1770	C₂×C₄	—	52	1	no	—
1771	C₂×C₄	—	52	2	no	—
1772	C₂×C₄	—	52	2	no	—
1773	C₂×C₄	—	52	2	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	—	104	1	no	—
1781	C₂×C₄	—	104	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	C₂×D₄×D₁₃	1	1	yes	characteristic
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	C₂⁴×D₁₃	1	1	yes	characteristic
1792	C₈	—	2	1	no	—
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	2	1	no	—
1796	C₈	—	26	1	no	—
1797	C₈	—	26	1	no	—
1798	C₈	—	26	1	no	—
1799	C₈	—	26	1	no	—
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	2	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	—	4	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	13	2	no	—
1813	C₂²	—	13	2	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	—	26	1	no	—
1821	C₂²	—	52	4	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	—	52	1	no	—
1829	C₂²	—	52	1	no	—
1830	C₂²	—	52	1	no	—
1831	C₂²	—	104	2	no	—
1832	C₂²	—	104	4	no	—
1833	C₂²	—	104	4	no	—
1834	C₂²	—	104	4	no	—
1835	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1836	C₄	—	2	1	no	—
1837	C₄	—	2	1	no	—
1838	C₄	—	2	1	no	—
1839	C₄	—	2	1	no	—
1840	C₄	—	4	1	no	—
1841	C₄	—	4	1	no	—
1842	C₄	—	4	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	4	1	no	—
1845	C₄	—	4	1	no	—
1846	C₄	—	13	2	no	—
1847	C₄	—	26	1	no	—
1848	C₄	—	26	1	no	—
1849	C₄	—	26	2	no	—
1850	C₄	—	26	1	no	—
1851	C₄	—	26	1	no	—
1852	C₄	—	52	1	no	—
1853	C₄	—	52	1	no	—
1854	C₄	—	52	1	no	—
1855	C₄	—	52	1	no	—
1856	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1857	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1858	C₂	—	4	1	no	—
1859	C₂	—	4	1	no	—
1860	C₂	—	4	2	no	—
1861	C₂	—	8	1	no	—
1862	C₂	—	26	2	no	—
1863	C₂	—	26	2	no	—
1864	C₂	—	52	1	no	—
1865	C₂	—	104	1	no	—
1866	C₂	—	104	1	no	—
1867	C₂	—	104	1	no	—
1868	C₂	D₁₃×#546	1	1	yes	characteristic
1869	C₂	D₁₃×#575	1	1	yes	characteristic
1870	C₂	#13129614	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3307	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3307	D₁₃
hypocenter	C₁₃	#61164
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3307

Complements

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

N	H ≅ G/N	type
1. D₁₃×#553	C₂	semidirect
2. #13128323	C₂	semidirect
3. #13127092	C₂	semidirect
4. #13127084	C₂	semidirect
5. #13127038	C₂	semidirect
6. #13127030	C₂	semidirect
7. #13127014	C₂	semidirect
8. #13127006	C₂	semidirect
9. #13126982	C₂	semidirect
10. #13126974	C₂	semidirect
11. #13126844	C₂	semidirect
12. #13126836	C₂	semidirect
13. #13126812	C₂	semidirect
14. #13126741	C₂	semidirect
15. #13126733	C₂	semidirect
16. #13126687	C₂	semidirect
17. #13126679	C₂	semidirect
18. #13125238	C₂	semidirect
19. #13124768	C₂	semidirect
20. #13124760	C₂	semidirect
21. #13124653	C₂	semidirect
22. #13124450	C₂	semidirect
23. #13124448	C₂	semidirect
24. #13124301	C₂	semidirect
25. #13124085	C₂	semidirect
26. #13124085	C₂	semidirect
27. #13123647	C₂	semidirect
28. #13123569	C₂	semidirect
29. #13123351	C₂	semidirect
30. D₁₃×#417	C₂	semidirect
31. C₁₃×#3307	C₂	semidirect
34. C₁₃×#553	C₂²	semidirect
35. C₁₃×#547	C₂²	semidirect
36. #11719534	C₂²	semidirect
37. #11719534	C₂²	semidirect
38. C₂×#88168	C₂²	semidirect
39. C₂×#88168	C₂²	semidirect
41. C₂×M₁₆×D₁₃	C₂²	semidirect
42. C₂²×#6094	C₂²	semidirect
43. #11719432	C₂²	semidirect
48. D₁₃×#125	C₂²	semidirect
55. #11719338	C₂²	semidirect
56. #11719338	C₂²	semidirect
59. #11719323	C₂²	semidirect
60. #11719319	C₂²	semidirect
63. D₁₃×#121	C₂²	semidirect
64. D₁₃×#121	C₂²	semidirect
67. #11719270	C₂²	semidirect
69. #11719258	C₂²	semidirect
70. D₄×D₅₂	C₂²	semidirect
73. C₄×D₄×D₁₃	C₂²	semidirect
76. #11719235	C₂²	semidirect
77. D₁₃×#117	C₂²	semidirect
78. #11719219	C₂²	semidirect
81. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
82. C₁₃×#491	C₂²	semidirect
83. C₁₃×#485	C₂²	semidirect
84. C₁₃×#483	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#461	C₂²	semidirect
89. C₁₃×#449	C₂²	semidirect
90. C₁₃×#449	C₂²	semidirect
91. C₁₃×#442	C₂²	semidirect
92. C₁₃×#435	C₂²	semidirect
93. C₁₃×#417	C₂²	semidirect
94. C₁₃×#416	C₂²	semidirect
95. #11718899	C₂²	semidirect
96. #11718899	C₂²	semidirect
97. #11718894	C₂²	semidirect
98. #11718893	C₂²	semidirect
99. #11718835	C₂²	semidirect
100. #11718832	C₂²	semidirect
101. #11718831	C₂²	semidirect
102. #11718831	C₂²	semidirect
103. #11718826	C₂²	semidirect
104. #11718826	C₂²	semidirect
105. #11718817	C₂²	semidirect
106. #11718817	C₂²	semidirect
107. D₈×Dic₁₃	C₂²	semidirect
108. #11718796	C₂²	semidirect
109. #11718794	C₂²	semidirect
110. #11718789	C₂²	semidirect
111. #11718776	C₂²	semidirect
112. #11718774	C₂²	semidirect
113. C₈×C₂²⋊D₁₃	C₂²	semidirect
114. #11718744	C₂²	semidirect
115. #11718743	C₂²	semidirect
116. #11718728	C₂²	semidirect
117. #11718724	C₂²	semidirect
118. #11718710	C₂²	semidirect
119. #11718709	C₂²	semidirect
120. #11718706	C₂²	semidirect
121. #11718704	C₂²	semidirect
122. #11718700	C₂²	semidirect
123. #11718699	C₂²	semidirect
124. #11718698	C₂²	semidirect
125. #11718698	C₂²	semidirect
126. #11718679	C₂²	semidirect
127. #11718676	C₂²	semidirect
128. #11718675	C₂²	semidirect
129. #11718672	C₂²	semidirect
130. #11718670	C₂²	semidirect
131. #11718664	C₂²	semidirect
132. #11718663	C₂²	semidirect
133. #11718628	C₂²	semidirect
134. #11718627	C₂²	semidirect
135. #11718546	C₂²	semidirect
136. #11718544	C₂²	semidirect
137. #11718542	C₂²	semidirect
138. #11718538	C₂²	semidirect
139. #11718527	C₂²	semidirect
140. #11718526	C₂²	semidirect
141. #11718524	C₂²	semidirect
142. #11718524	C₂²	semidirect
143. #11718522	C₂²	semidirect
144. #11718522	C₂²	semidirect
145. #11718518	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718504	C₂²	semidirect
148. #11718498	C₂²	semidirect
149. #11718497	C₂²	semidirect
150. #11718490	C₂²	semidirect
151. #11718480	C₂²	semidirect
152. #11718480	C₂²	semidirect
153. #11718476	C₂²	semidirect
154. #11718475	C₂²	semidirect
155. #11718473	C₂²	semidirect
156. #11718470	C₂²	semidirect
157. #11718470	C₂²	semidirect
158. #11718468	C₂²	semidirect
159. #11718467	C₂²	semidirect
160. #11718467	C₂²	semidirect
161. #11718464	C₂²	semidirect
162. #11718464	C₂²	semidirect
163. #11718464	C₂²	semidirect
164. #11718464	C₂²	semidirect
165. #11718464	C₂²	semidirect
166. #11718464	C₂²	semidirect
167. #11718463	C₂²	semidirect
168. #11718463	C₂²	semidirect
169. D₁₃×#103	C₂²	semidirect
170. D₁₃×#103	C₂²	semidirect
171. #11718461	C₂²	semidirect
172. #11718461	C₂²	semidirect
173. #11718461	C₂²	semidirect
174. #11718461	C₂²	semidirect
175. #11718443	C₂²	semidirect
176. #11718436	C₂²	semidirect
177. #11718434	C₂²	semidirect
178. #11718434	C₂²	semidirect
182. #11718431	C₂²	semidirect
183. #11718431	C₂²	semidirect
184. #11718431	C₂²	semidirect
185. D₁₃×#102	C₂²	semidirect
186. D₁₃×#102	C₂²	semidirect
187. #11718427	C₂²	semidirect
188. #11718424	C₂²	semidirect
189. #11718419	C₂²	semidirect
190. #11718417	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718397	C₂²	semidirect
193. #11718395	C₂²	semidirect
194. #11718395	C₂²	semidirect
195. #11718390	C₂²	semidirect
196. #11718387	C₂²	semidirect
197. #11718387	C₂²	semidirect
198. #11718386	C₂²	semidirect
199. #11718374	C₂²	semidirect
200. #11718371	C₂²	semidirect
201. #11718368	C₂²	semidirect
202. #11718367	C₂²	semidirect
738. #3307	D₁₃	semidirect
914. #553	C₂×D₁₃	semidirect
920. #547	C₂×D₁₃	semidirect
947. #491	C₂×D₁₃	semidirect
957. #485	C₂×D₁₃	semidirect
961. #483	C₂×D₁₃	semidirect
977. #478	C₂×D₁₃	semidirect
985. #468	C₂×D₁₃	semidirect
993. #465	C₂×D₁₃	semidirect
999. #461	C₂×D₁₃	semidirect
1008. #449	C₂×D₁₃	semidirect
1009. #449	C₂×D₁₃	semidirect
1019. #442	C₂×D₁₃	semidirect
1031. #435	C₂×D₁₃	semidirect
1055. #417	C₂×D₁₃	semidirect
1059. #416	C₂×D₁₃	semidirect
1659. C₁₃	#61164	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#553	2
#13128323	2
#13127092	2
#13127084	2
#13127038	2
#13127030	2
#13127014	2
#13127006	2
#13126982	2
#13126974	2
#13126844	2
#13126836	2
#13126812	2
#13126741	2
#13126733	2
#13126687	2
#13126679	2
#13125238	2
#13124768	2
#13124760	2
#13124653	2
#13124450	2
#13124448	2
#13124301	2
#13124085	2
#13123647	2
#13123569	2
#13123351	2
D₁₃×#417	2
C₁₃×#3307	2
#61164	13