Subgroups — #16734058

Order 3328.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128512	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128508	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125749	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125744	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125730	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125729	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125724	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125723	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125717	C₂	1	1	yes	maximal, characteristic, complemented
10	#13125714	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125674	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125673	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125668	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125667	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125661	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125657	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125656	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124826	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124822	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124804	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124800	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124465	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124461	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124440	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#470	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124155	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124146	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124128	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124126	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123279	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3196	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88257	C₂²	1	1	yes	characteristic
33	C₂×#88254	C₂²	1	1	yes	characteristic
34	C₂²×#6127	C₂²	1	1	yes	characteristic
35	C₁₃×#525	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	#11719538	C₂²	1	1	yes	characteristic
38	#11719521	C₂²	1	1	yes	characteristic
39	#11719496	C₂²	1	1	yes	characteristic
40	C₂×#88178	C₂²	1	1	yes	characteristic
41	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
42	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
45	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
46	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
47	#11719360	—	2	1	no	—
48	#11719360	—	2	1	no	—
49	#11719338	—	2	1	no	—
50	#11719337	—	2	1	no	—
51	#11719336	—	2	1	no	—
52	#11719335	—	2	1	no	—
53	#11719334	C₂²	1	1	yes	characteristic
54	#11719334	C₂²	1	1	yes	characteristic
55	#11719333	C₂²	1	1	yes	characteristic
56	#11719333	C₂²	1	1	yes	characteristic
57	#11719333	C₂²	1	1	yes	characteristic
58	#11719333	C₂²	1	1	yes	characteristic
59	#11719332	C₂²	1	1	yes	characteristic
60	#11719332	C₂²	1	1	yes	characteristic
61	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
62	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
63	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
64	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
65	#11719313	C₂²	1	1	yes	characteristic
66	#11719313	C₂²	1	1	yes	characteristic
67	#11719311	C₂²	1	1	yes	characteristic
68	#11719311	C₂²	1	1	yes	characteristic
69	#11719296	—	2	1	no	—
70	#11719296	—	2	1	no	—
71	#11719257	—	2	1	no	—
72	#11719256	—	2	1	no	—
73	#11719255	—	2	1	no	—
74	D₄×Dic₂₆	—	2	1	no	—
75	#11719231	C₂²	1	1	yes	characteristic
76	#11719228	C₂²	1	1	yes	characteristic
77	#11719215	C₂²	1	1	yes	characteristic
78	#11719212	—	2	1	no	—
79	#11719212	—	2	1	no	—
80	#11719209	C₂²	1	1	yes	characteristic
81	#11719195	—	2	1	no	—
82	#11719195	—	2	1	no	—
83	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#470	C₂²	1	1	yes	characteristic
88	C₁₃×#470	C₂²	1	1	yes	characteristic
89	C₁₃×#468	C₂²	1	1	yes	characteristic
90	C₁₃×#468	C₂²	1	1	yes	characteristic
91	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#407	C₂²	1	1	yes	characteristic
96	#11718900	C₂²	1	1	yes	characteristic, complemented
97	#11718899	C₂²	1	1	yes	characteristic, complemented
98	#11718889	C₂²	1	1	yes	characteristic, complemented
99	#11718889	C₂²	1	1	yes	characteristic, complemented
100	#11718868	C₂²	1	1	yes	characteristic
101	#11718850	C₂²	1	1	yes	characteristic, complemented
102	#11718849	C₂²	1	1	yes	characteristic, complemented
103	#11718848	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	#11718835	C₂²	1	1	yes	characteristic, complemented
108	#11718834	C₂²	1	1	yes	characteristic, complemented
109	#11718834	C₂²	1	1	yes	characteristic, complemented
110	#11718833	C₂²	1	1	yes	characteristic, complemented
111	#11718832	C₂²	1	1	yes	characteristic, complemented
112	#11718831	C₂²	1	1	yes	characteristic, complemented
113	#11718798	C₂²	1	1	yes	characteristic
114	#11718798	C₂²	1	1	yes	characteristic
115	#11718795	C₂²	1	1	yes	characteristic
116	#11718795	C₂²	1	1	yes	characteristic
117	#11718787	C₂²	1	1	yes	characteristic
118	#11718787	C₂²	1	1	yes	characteristic
119	#11718713	C₂²	1	1	yes	characteristic
120	#11718713	C₂²	1	1	yes	characteristic
121	#11718713	C₂²	1	1	yes	characteristic
122	#11718713	C₂²	1	1	yes	characteristic
123	#11718713	C₂²	1	1	yes	characteristic
124	#11718711	C₂²	1	1	yes	characteristic, complemented
125	#11718711	C₂²	1	1	yes	characteristic, complemented
126	#11718710	C₂²	1	1	yes	characteristic
127	#11718708	C₂²	1	1	yes	characteristic, complemented
128	#11718706	C₂²	1	1	yes	characteristic, complemented
129	#11718704	C₂²	1	1	yes	characteristic, complemented
130	#11718704	C₂²	1	1	yes	characteristic, complemented
131	#11718703	C₂²	1	1	yes	characteristic
132	#11718700	C₂²	1	1	yes	characteristic
133	#11718698	C₂²	1	1	yes	characteristic, complemented
134	#11718696	C₂²	1	1	yes	characteristic, complemented
135	#11718664	C₂²	1	1	yes	characteristic, complemented
136	#11718657	C₂²	1	1	yes	characteristic, complemented
137	#11718632	C₂²	1	1	yes	characteristic, complemented
138	#11718632	C₂²	1	1	yes	characteristic, complemented
139	#11718549	C₂²	1	1	yes	characteristic, complemented
140	#11718549	C₂²	1	1	yes	characteristic, complemented
141	#11718548	C₂²	1	1	yes	characteristic, complemented
142	#11718547	C₂²	1	1	yes	characteristic, complemented
143	#11718546	C₂²	1	1	yes	characteristic, complemented
144	#11718545	C₂²	1	1	yes	characteristic, complemented
145	#11718542	C₂²	1	1	yes	characteristic, complemented
146	#11718541	C₂²	1	1	yes	characteristic, complemented
147	#11718529	C₂²	1	1	yes	characteristic, complemented
148	#11718528	C₂²	1	1	yes	characteristic, complemented
149	#11718525	C₂²	1	1	yes	characteristic, complemented
150	#11718524	C₂²	1	1	yes	characteristic, complemented
151	#11718523	C₂²	1	1	yes	characteristic, complemented
152	#11718523	C₂²	1	1	yes	characteristic, complemented
153	#11718522	C₂²	1	1	yes	characteristic, complemented
154	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
155	#11718477	C₂²	1	1	yes	characteristic, complemented
156	#11718477	C₂²	1	1	yes	characteristic, complemented
157	#11718477	C₂²	1	1	yes	characteristic, complemented
158	#11718476	C₂²	1	1	yes	characteristic, complemented
159	#11718475	C₂²	1	1	yes	characteristic, complemented
160	#11718475	C₂²	1	1	yes	characteristic, complemented
161	#11718474	C₂²	1	1	yes	characteristic, complemented
162	#11718474	C₂²	1	1	yes	characteristic, complemented
163	#11718471	C₂²	1	1	yes	characteristic, complemented
164	#11718471	C₂²	1	1	yes	characteristic, complemented
165	#11718470	C₂²	1	1	yes	characteristic, complemented
166	#11718469	C₂²	1	1	yes	characteristic, complemented
167	#11718469	C₂²	1	1	yes	characteristic, complemented
168	#11718469	C₂²	1	1	yes	characteristic, complemented
169	#11718468	C₂²	1	1	yes	characteristic, complemented
170	#11718467	C₂²	1	1	yes	characteristic, complemented
171	#11718466	C₂²	1	1	yes	characteristic, complemented
172	#11718466	C₂²	1	1	yes	characteristic, complemented
173	#11718465	C₂²	1	1	yes	characteristic, complemented
174	#11718464	C₂²	1	1	yes	characteristic, complemented
175	#11718463	C₂²	1	1	yes	characteristic, complemented
176	#11718463	C₂²	1	1	yes	characteristic, complemented
177	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
178	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
179	#11718445	C₂²	1	1	yes	characteristic, complemented
180	#11718444	C₂²	1	1	yes	characteristic, complemented
181	#11718443	C₂²	1	1	yes	characteristic, complemented
182	#11718442	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, complemented
187	#11718400	C₂²	1	1	yes	characteristic, complemented
188	#11718399	C₂²	1	1	yes	characteristic, complemented
189	#11718396	C₂²	1	1	yes	characteristic, complemented
190	#11718394	C₂²	1	1	yes	characteristic, complemented
191	#11718394	C₂²	1	1	yes	characteristic, complemented
192	#11718388	C₂²	1	1	yes	characteristic
193	#11718388	C₂²	1	1	yes	characteristic
194	#11718388	C₂²	1	1	yes	characteristic
195	#11718388	C₂²	1	1	yes	characteristic
196	#11718388	C₂²	1	1	yes	characteristic
197	#11718388	C₂²	1	1	yes	characteristic
198	#11718388	C₂²	1	1	yes	characteristic
199	#11718388	C₂²	1	1	yes	characteristic
200	#11718384	C₂²	1	1	yes	characteristic, complemented
201	#11718384	C₂²	1	1	yes	characteristic, complemented
202	#11718383	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
207	C₂²×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
208	#88257	—	4	2	no	—
209	#88257	—	4	2	no	—
210	#88254	—	4	2	no	—
211	#88254	—	4	2	no	—
212	C₂×#6131	—	2	1	no	—
213	C₂×#6131	C₂³	1	1	yes	characteristic
214	C₂×#6131	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₁₃	—	2	1	no	—
216	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
219	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
220	C₂×#6129	—	2	1	no	—
221	C₂×#6129	—	2	1	no	—
222	C₂×#6129	C₂³	1	1	yes	characteristic
223	C₂×#6129	C₂³	1	1	yes	characteristic
224	C₂×#6127	—	2	1	no	—
225	C₂×#6127	—	2	1	no	—
226	C₂×#6127	—	2	1	no	—
227	C₂×#6127	—	4	2	no	—
228	C₂×#6127	—	4	2	no	—
229	C₂×#6127	D₄	1	1	yes	characteristic
230	C₂×#6127	D₄	1	1	yes	characteristic
231	C₂×#6127	D₄	1	1	yes	characteristic
232	C₂×#6127	D₄	1	1	yes	characteristic
233	C₂×#6127	C₂³	1	1	yes	characteristic
234	C₂×#6127	C₂³	1	1	yes	characteristic
235	C₂×#6127	C₂³	1	1	yes	characteristic
236	C₂×#6127	C₂³	1	1	yes	characteristic
237	C₂×#6127	C₂³	1	1	yes	characteristic
238	C₂²×D₅₂	D₄	1	1	yes	characteristic
239	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
240	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
241	C₂²×Dic₂₆	—	2	1	no	—
242	C₂²×Dic₂₆	D₄	1	1	yes	characteristic
243	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
250	C₁₃×#123	—	2	1	no	—
251	C₁₃×C₂²⋊Q₈	—	2	1	no	—
252	C₁₃×C₂²⋊Q₈	—	2	1	no	—
253	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
258	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
259	C₁₃×#121	C₂³	1	1	yes	characteristic
260	C₁₃×#121	C₂³	1	1	yes	characteristic
261	C₁₃×#120	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₁₃×#117	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
268	#88207	—	2	1	no	—
269	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
270	#88201	—	2	1	no	—
271	#88200	C₂³	1	1	yes	characteristic
272	#88200	C₂³	1	1	yes	characteristic
273	#88200	C₂³	1	1	yes	characteristic
274	#88200	C₂³	1	1	yes	characteristic
275	#88200	C₂³	1	1	yes	characteristic
276	#88200	C₂³	1	1	yes	characteristic
277	#88198	—	2	1	no	—
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	C₂×#6107	C₂³	1	1	yes	characteristic
282	C₂×#6107	C₂³	1	1	yes	characteristic
283	C₂×#6106	C₂³	1	1	yes	characteristic
284	#88193	—	2	1	no	—
285	#88193	—	2	1	no	—
286	#88193	—	2	1	no	—
287	#88193	—	2	1	no	—
288	#88192	—	2	1	no	—
289	#88192	—	2	1	no	—
290	#88192	C₂³	1	1	yes	characteristic
291	#88192	C₂³	1	1	yes	characteristic
292	#88191	—	2	1	no	—
293	#88191	—	2	1	no	—
294	D₄×Dic₁₃	—	2	1	no	—
295	D₄×Dic₁₃	—	2	1	no	—
296	C₂×#6105	C₂³	1	1	yes	characteristic
297	C₂×#6104	C₂³	1	1	yes	characteristic
298	#88184	—	2	1	no	—
299	#88184	—	2	1	no	—
300	#88184	—	2	1	no	—
301	#88184	C₂³	1	1	yes	characteristic
302	#88184	C₂³	1	1	yes	characteristic
303	#88183	—	2	1	no	—
304	#88183	—	2	1	no	—
305	#88183	—	2	1	no	—
306	C₄×C₂²⋊D₁₃	—	2	1	no	—
307	C₄×C₂²⋊D₁₃	—	2	1	no	—
308	C₄×C₂²⋊D₁₃	—	2	1	no	—
309	C₄×C₂²⋊D₁₃	—	2	1	no	—
310	#88180	C₂³	1	1	yes	characteristic
311	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
312	#88178	—	2	1	no	—
313	#88178	—	2	1	no	—
314	#88178	—	2	1	no	—
315	#88178	C₂³	1	1	yes	characteristic
316	#88178	C₂³	1	1	yes	characteristic
317	#88178	C₂³	1	1	yes	characteristic
318	#88178	C₂³	1	1	yes	characteristic
319	#88178	C₂³	1	1	yes	characteristic
320	#88178	C₂³	1	1	yes	characteristic
321	C₂×#6101	—	2	1	no	—
322	C₂×#6099	C₂³	1	1	yes	characteristic
323	C₂×#6099	C₂³	1	1	yes	characteristic
324	#88172	—	4	2	no	—
325	Q₁₆×D₁₃	—	4	2	no	—
326	#88170	—	4	2	no	—
327	#88169	—	4	2	no	—
328	M₁₆×D₁₃	—	4	2	no	—
329	M₁₆×D₁₃	—	4	2	no	—
330	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
331	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
332	C₂×#6095	C₂³	1	1	yes	characteristic
333	C₂×#6095	C₂³	1	1	yes	characteristic
334	C₂×#6094	C₂³	1	1	yes	characteristic
335	C₂×#6094	C₂³	1	1	yes	characteristic
336	C₂×#6094	C₂³	1	1	yes	characteristic
337	C₂×#6094	C₂³	1	1	yes	characteristic
338	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
339	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
340	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
341	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
342	#88151	—	2	1	no	—
343	#88151	C₂³	1	1	yes	characteristic
344	#88151	C₂³	1	1	yes	characteristic
345	#88151	C₂³	1	1	yes	characteristic
346	#88151	C₂³	1	1	yes	characteristic
347	#88151	C₂³	1	1	yes	characteristic
348	#88151	C₂³	1	1	yes	characteristic
349	#88150	—	2	1	no	—
350	#88150	—	2	1	no	—
351	#88150	—	2	1	no	—
352	#88150	—	2	1	no	—
353	#88150	—	2	1	no	—
354	#88150	—	2	1	no	—
355	#88149	—	2	1	no	—
356	#88149	—	2	1	no	—
357	#88149	—	2	1	no	—
358	#88149	C₂³	1	1	yes	characteristic
359	#88149	C₂³	1	1	yes	characteristic
360	#88148	—	2	1	no	—
361	#88148	—	2	1	no	—
362	#88148	—	2	1	no	—
363	#88148	—	2	1	no	—
364	#88148	—	2	1	no	—
365	#88148	—	2	1	no	—
366	#88147	—	2	1	no	—
367	#88147	—	2	1	no	—
368	#88147	—	2	1	no	—
369	#88146	C₂³	1	1	yes	characteristic
370	#88146	C₂³	1	1	yes	characteristic
371	#88146	C₂³	1	1	yes	characteristic
372	#88146	C₂³	1	1	yes	characteristic
373	C₄⋊C₄×D₁₃	—	2	1	no	—
374	C₄⋊C₄×D₁₃	—	2	1	no	—
375	C₄⋊C₄×D₁₃	—	2	1	no	—
376	C₄⋊C₄×D₁₃	—	2	1	no	—
377	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
378	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
379	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
380	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
381	#88142	—	2	1	no	—
382	#88142	—	2	1	no	—
383	#88142	—	2	1	no	—
384	#88142	—	2	1	no	—
385	#88141	—	2	1	no	—
386	#88140	—	2	1	no	—
387	#88140	—	2	1	no	—
388	#88139	—	2	1	no	—
389	#88139	—	2	1	no	—
390	#88139	—	2	1	no	—
391	#88139	—	2	1	no	—
392	#88138	—	2	1	no	—
393	#88138	—	2	1	no	—
394	#88138	—	2	1	no	—
395	#88138	—	2	1	no	—
396	#88138	—	2	1	no	—
397	#88138	—	2	1	no	—
398	#88137	—	2	1	no	—
399	#88137	—	2	1	no	—
400	#88137	—	2	1	no	—
401	#88137	—	2	1	no	—
402	#88137	—	2	1	no	—
403	#88137	—	2	1	no	—
404	#88136	—	2	1	no	—
405	#88136	—	2	1	no	—
406	#88135	—	2	1	no	—
407	#88135	—	2	1	no	—
408	#88135	—	2	1	no	—
409	#88135	—	2	1	no	—
410	#88135	—	2	1	no	—
411	#88135	—	2	1	no	—
412	C₂²⋊C₄×D₁₃	—	2	1	no	—
413	C₂²⋊C₄×D₁₃	—	2	1	no	—
414	C₂²⋊C₄×D₁₃	—	2	1	no	—
415	C₂²⋊C₄×D₁₃	—	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	—	2	1	no	—
422	#88129	—	2	1	no	—
423	C₄×D₅₂	—	2	1	no	—
424	#88123	—	2	1	no	—
425	C₄×Dic₂₆	—	2	1	no	—
426	C₁₃×#107	C₂³	1	1	yes	characteristic
427	C₁₃×#107	C₂³	1	1	yes	characteristic
428	C₁₃×#106	C₂³	1	1	yes	characteristic
429	C₁₃×#106	C₂³	1	1	yes	characteristic
430	C₁₃×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88075	C₂³	1	1	yes	characteristic
445	#88075	C₂³	1	1	yes	characteristic
446	#88075	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88072	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	C₂²⋊#1055	C₂³	1	1	yes	characteristic
451	C₂²⋊#1055	C₂³	1	1	yes	characteristic
452	C₂²⋊#1055	C₂³	1	1	yes	characteristic
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88061	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	#88060	C₂³	1	1	yes	characteristic
464	#88058	C₂³	1	1	yes	characteristic
465	#88058	C₂³	1	1	yes	characteristic
466	#88057	C₂³	1	1	yes	characteristic
467	#88057	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	#88050	C₂³	1	1	yes	characteristic
475	#88050	C₂³	1	1	yes	characteristic
476	#88050	C₂³	1	1	yes	characteristic
477	#88050	C₂³	1	1	yes	characteristic
478	#88050	C₂³	1	1	yes	characteristic
479	#88050	C₂³	1	1	yes	characteristic
480	#88049	C₂³	1	1	yes	characteristic
481	#88049	C₂³	1	1	yes	characteristic
482	#88048	C₂³	1	1	yes	characteristic
483	#88048	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	#88048	C₂³	1	1	yes	characteristic
488	#88047	C₂³	1	1	yes	characteristic
489	#88047	C₂³	1	1	yes	characteristic
490	#60773	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
493	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
494	C₁₃×#41	—	4	1	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₂×Q₈×C₁₃	—	2	1	no	—
497	C₂×Q₈×C₁₃	—	4	1	no	—
498	C₂×Q₈×C₁₃	—	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	1	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
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	—	4	1	no	—
510	C₂²×C₄×C₁₃	—	4	1	no	—
511	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
512	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
514	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	4	2	no	—
525	C₂×C₂²⋊D₁₃	—	4	2	no	—
526	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
531	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	C₂×D₄	1	1	yes	characteristic
539	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
540	#6131	—	2	2	no	—
541	#6131	—	2	2	no	—
542	#6131	—	4	1	no	—
543	#6131	—	4	1	no	—
544	#6131	—	4	4	no	—
545	Q₈×D₁₃	—	2	2	no	—
546	Q₈×D₁₃	—	2	2	no	—
547	Q₈×D₁₃	—	2	2	no	—
548	Q₈×D₁₃	—	2	2	no	—
549	Q₈×D₁₃	—	4	1	no	—
550	Q₈×D₁₃	—	4	1	no	—
551	Q₈×D₁₃	—	4	1	no	—
552	Q₈×D₁₃	—	4	1	no	—
553	Q₈×D₁₃	—	4	4	no	—
554	#6129	—	2	2	no	—
555	#6129	—	2	2	no	—
556	#6129	—	4	1	no	—
557	#6129	—	4	1	no	—
558	#6129	—	4	4	no	—
559	#6129	—	4	4	no	—
560	#6127	—	2	2	no	—
561	#6127	—	2	2	no	—
562	#6127	—	2	2	no	—
563	#6127	—	2	2	no	—
564	#6127	—	4	2	no	—
565	#6127	—	4	2	no	—
566	#6127	—	4	1	no	—
567	#6127	—	4	1	no	—
568	#6127	—	4	1	no	—
569	#6127	—	4	1	no	—
570	#6127	—	4	1	no	—
571	#6127	—	4	1	no	—
572	#6127	—	4	2	no	—
573	#6127	—	4	2	no	—
574	#6127	—	4	4	no	—
575	#6127	—	4	4	no	—
576	#6127	—	4	4	no	—
577	C₂×D₅₂	—	2	1	no	—
578	C₂×D₅₂	—	2	1	no	—
579	C₂×D₅₂	—	2	1	no	—
580	C₂×D₅₂	—	2	1	no	—
581	C₂×D₅₂	—	4	2	no	—
582	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
583	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
584	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
585	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
586	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
587	C₂×C₄×D₁₃	—	2	2	no	—
588	C₂×C₄×D₁₃	—	2	2	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	—	2	1	no	—
593	C₂×C₄×D₁₃	—	2	1	no	—
594	C₂×C₄×D₁₃	—	2	1	no	—
595	C₂×C₄×D₁₃	—	2	1	no	—
596	C₂×C₄×D₁₃	—	2	1	no	—
597	C₂×C₄×D₁₃	—	2	1	no	—
598	C₂×C₄×D₁₃	—	2	1	no	—
599	C₂×C₄×D₁₃	—	2	1	no	—
600	C₂×C₄×D₁₃	—	4	1	no	—
601	C₂×C₄×D₁₃	—	4	1	no	—
602	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
603	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
604	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
605	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
606	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
607	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
610	C₂×Dic₂₆	—	2	1	no	—
611	C₂×Dic₂₆	—	2	1	no	—
612	C₂×Dic₂₆	—	2	1	no	—
613	C₂×Dic₂₆	—	2	1	no	—
614	C₂×Dic₂₆	—	2	1	no	—
615	C₂×Dic₂₆	—	4	2	no	—
616	C₂×Dic₂₆	—	4	1	no	—
617	C₂×Dic₂₆	—	4	1	no	—
618	C₂×Dic₂₆	—	4	4	no	—
619	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
620	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
621	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
622	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
623	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
624	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
625	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
626	C₁₃×Q₁₆	—	4	1	no	—
627	C₁₃×Q₁₆	—	4	1	no	—
628	C₁₃×SD₁₆	—	4	1	no	—
629	C₁₃×SD₁₆	—	4	1	no	—
630	C₁₃×M₁₆	—	4	1	no	—
631	C₁₃×M₁₆	—	4	1	no	—
632	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
633	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
634	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
635	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
636	C₁₃×C₄⋊C₄	—	2	1	no	—
637	C₁₃×C₄⋊C₄	—	2	1	no	—
638	C₁₃×C₄⋊C₄	—	2	1	no	—
639	C₁₃×C₄⋊C₄	—	2	1	no	—
640	C₁₃×C₄⋊C₄	—	2	1	no	—
641	C₁₃×C₄⋊C₄	—	2	1	no	—
642	C₁₃×C₄⋊C₄	—	2	1	no	—
643	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₁₃×C₂²⋊C₄	—	2	1	no	—
654	C₁₃×C₂²⋊C₄	—	2	1	no	—
655	C₁₃×C₂²⋊C₄	—	2	1	no	—
656	C₄²×C₁₃	—	2	1	no	—
657	C₂²⋊Dic₁₃	—	2	1	no	—
658	C₂²⋊Dic₁₃	—	2	1	no	—
659	C₂²⋊Dic₁₃	—	2	1	no	—
660	C₂²⋊Dic₁₃	—	2	1	no	—
661	C₂²⋊Dic₁₃	—	2	1	no	—
662	C₂²⋊Dic₁₃	—	2	1	no	—
663	C₂²⋊Dic₁₃	—	2	1	no	—
664	C₂²⋊Dic₁₃	—	2	1	no	—
665	C₂²⋊Dic₁₃	—	2	1	no	—
666	#6107	—	4	1	no	—
667	#6107	—	4	1	no	—
668	#6107	—	4	1	no	—
669	#6107	—	4	1	no	—
670	#6107	—	4	1	no	—
671	#6106	—	4	1	no	—
672	#6105	—	4	1	no	—
673	#6104	—	4	1	no	—
674	#6103	—	2	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	1	no	—
677	#6103	—	2	1	no	—
678	#6103	—	2	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	—	2	1	no	—
684	#6103	—	2	1	no	—
685	#6103	—	2	1	no	—
686	#6103	—	2	1	no	—
687	#6103	—	2	1	no	—
688	#6103	—	2	1	no	—
689	#6103	—	2	1	no	—
690	#6103	—	2	1	no	—
691	#6103	—	2	1	no	—
692	#6103	—	2	1	no	—
693	#6103	—	2	1	no	—
694	C₄⋊Dic₁₃	—	2	1	no	—
695	C₄⋊Dic₁₃	—	2	1	no	—
696	C₄⋊Dic₁₃	—	2	1	no	—
697	C₄⋊Dic₁₃	—	2	1	no	—
698	C₄⋊Dic₁₃	—	2	1	no	—
699	C₄⋊Dic₁₃	—	2	1	no	—
700	C₄⋊Dic₁₃	—	2	1	no	—
701	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
702	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
703	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
704	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	—	2	1	no	—
717	#6101	—	2	1	no	—
718	#6101	—	2	1	no	—
719	#6101	—	2	1	no	—
720	#6101	—	2	1	no	—
721	C₄×Dic₁₃	—	2	1	no	—
722	C₄×Dic₁₃	—	2	1	no	—
723	C₄×Dic₁₃	—	2	1	no	—
724	C₄×Dic₁₃	—	2	1	no	—
725	C₄×Dic₁₃	—	2	1	no	—
726	#6099	—	4	1	no	—
727	#6099	—	4	1	no	—
728	C₂×#1055	C₂⁴	1	1	yes	characteristic
729	C₂×#1055	C₂⁴	1	1	yes	characteristic
730	C₂×#1055	C₂⁴	1	1	yes	characteristic
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	Dic₅₂	—	4	1	no	—
733	Dic₅₂	—	4	1	no	—
734	#6095	—	4	1	no	—
735	#6095	—	4	1	no	—
736	#6094	—	2	2	no	—
737	#6094	—	2	2	no	—
738	#6094	—	4	1	no	—
739	#6094	—	4	1	no	—
740	C₈×D₁₃	—	2	2	no	—
741	C₈×D₁₃	—	2	2	no	—
742	C₈×D₁₃	—	4	1	no	—
743	C₈×D₁₃	—	4	1	no	—
744	#3489	—	13	1	no	—
745	#3489	—	13	1	no	—
746	#3204	—	13	1	no	—
747	#3204	—	13	1	no	—
748	#3202	—	13	1	no	—
749	#3202	—	13	1	no	—
750	#3201	—	13	1	no	—
751	#3201	—	13	1	no	—
752	#3201	—	13	1	no	—
753	#3201	—	13	1	no	—
754	#3197	—	13	1	no	—
755	#3197	—	13	1	no	—
756	#3196	—	13	1	no	—
757	#3196	—	13	1	no	—
758	#3196	—	13	1	no	—
759	#3196	D₁₃	1	1	yes	characteristic, complemented
760	#3195	—	13	1	no	—
761	#3195	—	13	1	no	—
762	#3099	—	13	1	no	—
763	#3099	—	13	1	no	—
764	#3097	—	13	1	no	—
765	#3097	—	13	1	no	—
766	#3056	—	13	1	no	—
767	#3056	—	13	1	no	—
768	#3054	—	13	1	no	—
769	C₂×#470	—	13	1	no	—
770	#3013	—	13	1	no	—
771	#3013	—	13	1	no	—
772	#3011	—	13	1	no	—
773	#3011	—	13	1	no	—
774	#2879	—	13	1	no	—
775	C₂³×C₁₃	—	2	1	no	—
776	C₂³×C₁₃	—	4	1	no	—
777	C₂³×C₁₃	—	4	1	no	—
778	C₂³×C₁₃	—	4	1	no	—
779	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂²×D₁₃	—	2	2	no	—
783	C₂²×D₁₃	—	2	1	no	—
784	C₂²×D₁₃	—	4	1	no	—
785	C₂²×D₁₃	—	4	1	no	—
786	C₂²×D₁₃	—	4	1	no	—
787	C₂²×D₁₃	—	4	1	no	—
788	C₂²×D₁₃	—	4	1	no	—
789	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
793	Q₈×C₁₃	—	2	1	no	—
794	Q₈×C₁₃	—	2	1	no	—
795	Q₈×C₁₃	—	2	1	no	—
796	Q₈×C₁₃	—	2	1	no	—
797	Q₈×C₁₃	—	2	1	no	—
798	Q₈×C₁₃	—	2	1	no	—
799	Q₈×C₁₃	—	4	2	no	—
800	D₄×C₁₃	—	2	1	no	—
801	D₄×C₁₃	—	2	1	no	—
802	D₄×C₁₃	—	4	2	no	—
803	D₄×C₁₃	—	4	2	no	—
804	D₄×C₁₃	—	8	1	no	—
805	C₂×C₄×C₁₃	—	2	1	no	—
806	C₂×C₄×C₁₃	—	2	1	no	—
807	C₂×C₄×C₁₃	—	2	1	no	—
808	C₂×C₄×C₁₃	—	2	1	no	—
809	C₂×C₄×C₁₃	—	2	1	no	—
810	C₂×C₄×C₁₃	—	2	1	no	—
811	C₂×C₄×C₁₃	—	2	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	2	1	no	—
815	C₂×C₄×C₁₃	—	2	1	no	—
816	C₂×C₄×C₁₃	—	2	1	no	—
817	C₂×C₄×C₁₃	—	2	1	no	—
818	C₂×C₄×C₁₃	—	4	1	no	—
819	C₂×C₄×C₁₃	—	4	1	no	—
820	C₂×C₄×C₁₃	—	4	1	no	—
821	C₂×C₄×C₁₃	—	4	2	no	—
822	C₂×C₄×C₁₃	—	4	2	no	—
823	C₂×C₄×C₁₃	—	8	1	no	—
824	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
828	C₂²⋊D₁₃	—	2	2	no	—
829	C₂²⋊D₁₃	—	2	2	no	—
830	C₂²⋊D₁₃	—	2	2	no	—
831	C₂²⋊D₁₃	—	2	2	no	—
832	C₂²⋊D₁₃	—	4	1	no	—
833	C₂²⋊D₁₃	—	4	1	no	—
834	C₂²⋊D₁₃	—	4	1	no	—
835	C₂²⋊D₁₃	—	4	1	no	—
836	C₂²⋊D₁₃	—	4	2	no	—
837	C₂²⋊D₁₃	—	4	2	no	—
838	C₂²⋊D₁₃	—	4	2	no	—
839	C₂²⋊D₁₃	—	4	2	no	—
840	C₂²⋊D₁₃	—	8	1	no	—
841	C₂²⋊D₁₃	—	8	1	no	—
842	C₂²⋊D₁₃	—	8	1	no	—
843	C₂×Dic₁₃	—	2	2	no	—
844	C₂×Dic₁₃	—	2	1	no	—
845	C₂×Dic₁₃	—	2	1	no	—
846	C₂×Dic₁₃	—	2	1	no	—
847	C₂×Dic₁₃	—	2	1	no	—
848	C₂×Dic₁₃	—	2	1	no	—
849	C₂×Dic₁₃	—	2	1	no	—
850	C₂×Dic₁₃	—	2	1	no	—
851	C₂×Dic₁₃	—	4	1	no	—
852	C₂×Dic₁₃	—	4	2	no	—
853	C₂×Dic₁₃	—	4	2	no	—
854	C₂×Dic₁₃	—	4	2	no	—
855	C₂×Dic₁₃	—	8	1	no	—
856	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
857	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
858	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
859	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
860	D₅₂	—	2	2	no	—
861	D₅₂	—	2	2	no	—
862	D₅₂	—	2	1	no	—
863	D₅₂	—	2	1	no	—
864	D₅₂	—	4	1	no	—
865	D₅₂	—	4	1	no	—
866	D₅₂	—	4	2	no	—
867	D₅₂	—	4	2	no	—
868	D₅₂	—	8	1	no	—
869	D₅₂	—	8	1	no	—
870	C₄×D₁₃	—	2	2	no	—
871	C₄×D₁₃	—	2	1	no	—
872	C₄×D₁₃	—	2	1	no	—
873	C₄×D₁₃	—	2	1	no	—
874	C₄×D₁₃	—	2	1	no	—
875	C₄×D₁₃	—	2	1	no	—
876	C₄×D₁₃	—	2	1	no	—
877	C₄×D₁₃	—	2	2	no	—
878	C₄×D₁₃	—	4	1	no	—
879	C₄×D₁₃	—	4	1	no	—
880	C₄×D₁₃	—	4	2	no	—
881	C₄×D₁₃	—	4	2	no	—
882	C₄×D₁₃	—	4	2	no	—
883	C₄×D₁₃	—	4	2	no	—
884	C₄×D₁₃	—	4	2	no	—
885	C₄×D₁₃	—	4	2	no	—
886	C₄×D₁₃	—	4	2	no	—
887	C₄×D₁₃	—	8	1	no	—
888	C₄×D₁₃	—	8	1	no	—
889	C₄×D₁₃	—	8	1	no	—
890	C₄×D₁₃	—	8	1	no	—
891	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
892	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
893	Dic₂₆	—	2	2	no	—
894	Dic₂₆	—	2	2	no	—
895	Dic₂₆	—	2	1	no	—
896	Dic₂₆	—	2	1	no	—
897	Dic₂₆	—	2	1	no	—
898	Dic₂₆	—	2	1	no	—
899	Dic₂₆	—	2	1	no	—
900	Dic₂₆	—	2	1	no	—
901	Dic₂₆	—	4	1	no	—
902	Dic₂₆	—	4	1	no	—
903	Dic₂₆	—	4	2	no	—
904	Dic₂₆	—	4	2	no	—
905	Dic₂₆	—	4	2	no	—
906	Dic₂₆	—	4	2	no	—
907	Dic₂₆	—	4	2	no	—
908	C₈×C₁₃	—	2	1	no	—
909	C₈×C₁₃	—	2	1	no	—
910	C₈×C₁₃	—	2	1	no	—
911	C₈×C₁₃	—	2	1	no	—
912	#1055	—	2	1	no	—
913	#1055	—	2	1	no	—
914	#1055	—	2	1	no	—
915	#1055	—	2	1	no	—
916	C₂×2₋¹⁺⁴	—	13	1	no	—
917	C₂×2₋¹⁺⁴	—	13	1	no	—
918	C₂²×#41	—	13	1	no	—
919	C₂×#137	—	13	1	no	—
920	C₂×#137	—	13	1	no	—
921	C₂×#135	—	13	1	no	—
922	C₂²×Q₁₆	—	13	1	no	—
923	C₂²×M₁₆	—	13	1	no	—
924	C₂²×M₁₆	—	13	1	no	—
925	D₄×Q₈	—	26	1	no	—
926	D₄×Q₈	—	26	1	no	—
927	#548	—	26	1	no	—
928	#548	—	26	1	no	—
929	#547	—	26	1	no	—
930	#547	—	26	1	no	—
931	#547	—	26	1	no	—
932	#547	—	26	1	no	—
933	#547	—	26	1	no	—
934	#547	—	26	1	no	—
935	#546	—	26	1	no	—
936	#546	—	26	1	no	—
937	#546	—	26	1	no	—
938	#546	—	26	1	no	—
939	#546	—	26	1	no	—
940	#546	—	26	1	no	—
941	#537	—	13	1	no	—
942	#537	—	13	1	no	—
943	#537	—	13	1	no	—
944	#537	—	13	1	no	—
945	#537	—	13	1	no	—
946	#537	—	13	1	no	—
947	#536	—	13	1	no	—
948	#536	—	13	1	no	—
949	#536	—	13	1	no	—
950	#536	—	13	1	no	—
951	#536	—	13	1	no	—
952	#536	—	13	1	no	—
953	#525	—	13	1	no	—
954	#525	—	13	1	no	—
955	#525	—	13	1	no	—
956	#525	—	13	1	no	—
957	#525	—	13	1	no	—
958	#525	C₂×D₁₃	1	1	yes	characteristic
959	C₂×C₂²⋊Q₈	—	13	1	no	—
960	C₂×C₂²⋊Q₈	—	13	1	no	—
961	C₂×C₂²⋊Q₈	—	13	1	no	—
962	C₂×C₂²⋊Q₈	—	13	1	no	—
963	C₂×C₂²⋊Q₈	—	13	1	no	—
964	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
965	#520	—	13	1	no	—
966	#520	—	13	1	no	—
967	#485	—	13	1	no	—
968	#485	—	13	1	no	—
969	#485	—	13	1	no	—
970	#485	—	13	1	no	—
971	#485	—	13	1	no	—
972	#485	—	13	1	no	—
973	#485	—	13	1	no	—
974	#485	—	13	1	no	—
975	#485	—	13	1	no	—
976	#485	—	13	1	no	—
977	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
978	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
979	#484	—	13	1	no	—
980	#484	—	13	1	no	—
981	#484	—	13	1	no	—
982	#484	C₂×D₁₃	1	1	yes	characteristic, complemented
983	#483	—	13	1	no	—
984	#483	—	13	1	no	—
985	#483	—	13	1	no	—
986	#483	—	13	1	no	—
987	#483	—	13	1	no	—
988	#483	—	13	1	no	—
989	#483	—	13	1	no	—
990	#483	—	13	1	no	—
991	#482	—	13	1	no	—
992	#482	—	13	1	no	—
993	#482	—	13	1	no	—
994	#482	—	13	1	no	—
995	#481	—	13	1	no	—
996	#481	—	13	1	no	—
997	#481	—	13	1	no	—
998	#481	C₂×D₁₃	1	1	yes	characteristic, complemented
999	#470	—	13	1	no	—
1000	#470	—	13	1	no	—
1001	#470	—	13	1	no	—
1002	#470	—	13	1	no	—
1003	#470	—	13	1	no	—
1004	#470	—	13	1	no	—
1005	#470	—	13	1	no	—
1006	#470	—	13	1	no	—
1007	#470	—	13	1	no	—
1008	#470	—	13	1	no	—
1009	#470	—	13	1	no	—
1010	#470	—	13	1	no	—
1011	#470	C₂×D₁₃	1	1	yes	characteristic
1012	#470	C₂×D₁₃	1	1	yes	characteristic
1013	#469	—	13	1	no	—
1014	#469	—	13	1	no	—
1015	#468	—	13	1	no	—
1016	#468	—	13	1	no	—
1017	#468	—	13	1	no	—
1018	#468	—	13	1	no	—
1019	#468	—	13	1	no	—
1020	#468	—	13	1	no	—
1021	#468	C₂×D₁₃	1	1	yes	characteristic
1022	#468	C₂×D₁₃	1	1	yes	characteristic
1023	#467	—	13	1	no	—
1024	#467	—	13	1	no	—
1025	#467	—	13	1	no	—
1026	#467	—	13	1	no	—
1027	#465	—	13	1	no	—
1028	#465	—	13	1	no	—
1029	#465	—	13	1	no	—
1030	#465	—	13	1	no	—
1031	#452	—	13	1	no	—
1032	#452	—	13	1	no	—
1033	#452	—	13	1	no	—
1034	#452	—	13	1	no	—
1035	#452	—	13	1	no	—
1036	#452	—	13	1	no	—
1037	#452	—	13	1	no	—
1038	#452	—	13	1	no	—
1039	#452	—	13	1	no	—
1040	#452	—	13	1	no	—
1041	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1042	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1043	#451	—	13	1	no	—
1044	#451	—	13	1	no	—
1045	#451	—	13	1	no	—
1046	#451	—	13	1	no	—
1047	#451	—	13	1	no	—
1048	#451	—	13	1	no	—
1049	#451	—	13	1	no	—
1050	#451	—	13	1	no	—
1051	#451	—	13	1	no	—
1052	#451	—	13	1	no	—
1053	#451	—	13	1	no	—
1054	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1055	#449	—	13	1	no	—
1056	#449	—	13	1	no	—
1057	#449	—	13	1	no	—
1058	#449	—	13	1	no	—
1059	#448	—	13	1	no	—
1060	#448	—	13	1	no	—
1061	#448	—	13	1	no	—
1062	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1063	#428	—	13	1	no	—
1064	#428	—	13	1	no	—
1065	#427	—	13	1	no	—
1066	C₂×#106	—	13	1	no	—
1067	#419	—	13	1	no	—
1068	#419	—	13	1	no	—
1069	#417	—	13	1	no	—
1070	#417	—	13	1	no	—
1071	#416	—	13	1	no	—
1072	#416	—	13	1	no	—
1073	C₂×#103	—	13	1	no	—
1074	C₂×#103	—	13	1	no	—
1075	#408	—	13	1	no	—
1076	#408	—	13	1	no	—
1077	#408	—	13	1	no	—
1078	#408	—	13	1	no	—
1079	#408	—	13	1	no	—
1080	#408	—	13	1	no	—
1081	#408	—	13	1	no	—
1082	#408	—	13	1	no	—
1083	#407	—	13	1	no	—
1084	#407	—	13	1	no	—
1085	#407	—	13	1	no	—
1086	#407	C₂×D₁₃	1	1	yes	characteristic
1087	C₂²×C₁₃	—	2	1	no	—
1088	C₂²×C₁₃	—	2	1	no	—
1089	C₂²×C₁₃	—	2	1	no	—
1090	C₂²×C₁₃	—	2	1	no	—
1091	C₂²×C₁₃	—	2	1	no	—
1092	C₂²×C₁₃	—	2	1	no	—
1093	C₂²×C₁₃	—	2	1	no	—
1094	C₂²×C₁₃	—	2	1	no	—
1095	C₂²×C₁₃	—	2	1	no	—
1096	C₂²×C₁₃	—	4	1	no	—
1097	C₂²×C₁₃	—	4	1	no	—
1098	C₂²×C₁₃	—	4	1	no	—
1099	C₂²×C₁₃	—	8	2	no	—
1100	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1101	C₂×D₁₃	—	2	1	no	—
1102	C₂×D₁₃	—	2	1	no	—
1103	C₂×D₁₃	—	2	1	no	—
1104	C₂×D₁₃	—	2	1	no	—
1105	C₂×D₁₃	—	2	1	no	—
1106	C₂×D₁₃	—	2	1	no	—
1107	C₂×D₁₃	—	2	1	no	—
1108	C₂×D₁₃	—	2	1	no	—
1109	C₂×D₁₃	—	2	1	no	—
1110	C₂×D₁₃	—	2	1	no	—
1111	C₂×D₁₃	—	2	1	no	—
1112	C₂×D₁₃	—	4	1	no	—
1113	C₂×D₁₃	—	4	1	no	—
1114	C₂×D₁₃	—	4	1	no	—
1115	C₂×D₁₃	—	8	2	no	—
1116	C₂×D₁₃	—	8	2	no	—
1117	C₂×D₁₃	#534	1	2	yes	—
1118	C₄×C₁₃	—	2	1	no	—
1119	C₄×C₁₃	—	2	1	no	—
1120	C₄×C₁₃	—	2	1	no	—
1121	C₄×C₁₃	—	4	1	no	—
1122	C₄×C₁₃	—	4	1	no	—
1123	C₄×C₁₃	—	4	1	no	—
1124	C₄×C₁₃	—	4	1	no	—
1125	C₄×C₁₃	—	4	1	no	—
1126	C₄×C₁₃	—	4	1	no	—
1127	C₄×C₁₃	—	4	1	no	—
1128	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1129	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1130	Dic₁₃	—	2	1	no	—
1131	Dic₁₃	—	2	1	no	—
1132	Dic₁₃	—	2	1	no	—
1133	Dic₁₃	—	4	1	no	—
1134	Dic₁₃	—	4	1	no	—
1135	Dic₁₃	—	4	1	no	—
1136	Dic₁₃	—	4	1	no	—
1137	Dic₁₃	—	4	1	no	—
1138	Dic₁₃	—	4	1	no	—
1139	Dic₁₃	—	4	1	no	—
1140	Dic₁₃	#534	1	2	yes	—
1141	2₋¹⁺⁴	—	52	2	no	—
1142	2₋¹⁺⁴	—	52	2	no	—
1143	2₋¹⁺⁴	—	52	2	no	—
1144	2₋¹⁺⁴	—	52	2	no	—
1145	C₂×#41	—	13	1	no	—
1146	C₂×#41	—	13	1	no	—
1147	C₂×#41	—	13	1	no	—
1148	C₂×#41	—	13	1	no	—
1149	C₂×#41	—	13	1	no	—
1150	C₂×#41	—	13	1	no	—
1151	C₂×#41	—	13	1	no	—
1152	C₂×#41	—	13	1	no	—
1153	C₂×#41	—	13	1	no	—
1154	C₂×#41	—	13	1	no	—
1155	C₂×#41	—	13	1	no	—
1156	C₂×#41	—	13	1	no	—
1157	C₂×#41	—	13	1	no	—
1158	C₂×#41	—	26	1	no	—
1159	C₂×#41	—	26	1	no	—
1160	C₂×#41	—	26	1	no	—
1161	C₂×#41	—	26	1	no	—
1162	C₂×#41	—	26	1	no	—
1163	C₂×#41	—	26	1	no	—
1164	C₂×#41	—	52	2	no	—
1165	C₂×#41	—	52	2	no	—
1166	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1167	C₂²×Q₈	—	13	1	no	—
1168	C₂²×Q₈	—	13	1	no	—
1169	C₂²×Q₈	—	13	1	no	—
1170	C₂²×Q₈	—	13	1	no	—
1171	C₂²×Q₈	—	13	1	no	—
1172	C₂²×Q₈	—	13	1	no	—
1173	C₂²×Q₈	—	26	1	no	—
1174	C₂²×Q₈	—	26	1	no	—
1175	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1176	C₂²×D₄	—	13	1	no	—
1177	C₂²×D₄	—	13	1	no	—
1178	C₂²×D₄	—	13	1	no	—
1179	C₂³×C₄	—	13	1	no	—
1180	C₂³×C₄	—	13	1	no	—
1181	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1182	#137	—	52	2	no	—
1183	#137	—	52	2	no	—
1184	#135	—	52	2	no	—
1185	C₂×Q₁₆	—	13	1	no	—
1186	C₂×Q₁₆	—	13	1	no	—
1187	C₂×Q₁₆	—	13	1	no	—
1188	C₂×Q₁₆	—	13	1	no	—
1189	C₂×Q₁₆	—	13	1	no	—
1190	C₂×Q₁₆	—	13	1	no	—
1191	C₂×Q₁₆	—	13	1	no	—
1192	C₂×Q₁₆	—	52	2	no	—
1193	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1194	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1195	C₂×SD₁₆	—	13	1	no	—
1196	C₂×SD₁₆	—	13	1	no	—
1197	C₂×SD₁₆	—	13	1	no	—
1198	C₂×SD₁₆	—	13	1	no	—
1199	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1200	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1201	C₂×D₈	—	13	1	no	—
1202	C₂×M₁₆	—	13	1	no	—
1203	C₂×M₁₆	—	13	1	no	—
1204	C₂×M₁₆	—	13	1	no	—
1205	C₂×M₁₆	—	13	1	no	—
1206	C₂×M₁₆	—	13	1	no	—
1207	C₂×M₁₆	—	13	1	no	—
1208	C₂×M₁₆	—	52	2	no	—
1209	C₂×M₁₆	—	52	2	no	—
1210	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1211	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1212	C₂²×C₈	—	13	1	no	—
1213	C₂²×C₈	—	13	1	no	—
1214	C₂²×C₈	—	13	1	no	—
1215	C₂²×C₈	—	13	1	no	—
1216	C₄⋊Q₈	—	26	1	no	—
1217	C₄⋊Q₈	—	26	1	no	—
1218	C₄⋊Q₈	—	26	1	no	—
1219	C₄⋊Q₈	—	26	1	no	—
1220	C₄⋊Q₈	—	26	1	no	—
1221	C₄⋊Q₈	—	26	1	no	—
1222	#124	—	26	1	no	—
1223	#124	—	26	1	no	—
1224	#124	—	26	1	no	—
1225	#124	—	26	1	no	—
1226	#124	—	26	1	no	—
1227	#124	—	26	1	no	—
1228	#123	—	2	1	no	—
1229	#123	—	26	1	no	—
1230	#123	—	26	1	no	—
1231	#123	—	26	1	no	—
1232	#123	—	26	1	no	—
1233	#123	—	26	1	no	—
1234	#123	—	26	1	no	—
1235	#123	—	26	1	no	—
1236	#123	—	26	1	no	—
1237	#123	—	26	1	no	—
1238	#123	—	26	1	no	—
1239	#123	—	26	1	no	—
1240	#123	—	26	1	no	—
1241	#123	—	26	1	no	—
1242	#123	—	26	1	no	—
1243	#123	—	26	1	no	—
1244	#123	—	26	1	no	—
1245	#123	—	26	1	no	—
1246	C₂²⋊Q₈	—	2	1	no	—
1247	C₂²⋊Q₈	—	2	1	no	—
1248	C₂²⋊Q₈	—	13	1	no	—
1249	C₂²⋊Q₈	—	13	1	no	—
1250	C₂²⋊Q₈	—	13	1	no	—
1251	C₂²⋊Q₈	—	13	1	no	—
1252	C₂²⋊Q₈	—	13	1	no	—
1253	C₂²⋊Q₈	—	13	1	no	—
1254	C₂²⋊Q₈	—	13	1	no	—
1255	C₂²⋊Q₈	—	13	1	no	—
1256	C₂²⋊Q₈	—	13	1	no	—
1257	C₂²⋊Q₈	—	13	1	no	—
1258	C₂²⋊Q₈	—	13	1	no	—
1259	C₂²⋊Q₈	—	13	1	no	—
1260	C₂²⋊Q₈	—	13	1	no	—
1261	C₂²⋊Q₈	—	13	1	no	—
1262	C₂²⋊Q₈	—	13	1	no	—
1263	C₂²⋊Q₈	—	13	1	no	—
1264	C₂²⋊Q₈	—	13	1	no	—
1265	C₂²⋊Q₈	—	13	1	no	—
1266	C₂²⋊Q₈	—	26	1	no	—
1267	C₂²⋊Q₈	—	26	1	no	—
1268	C₂²⋊Q₈	—	26	1	no	—
1269	C₂²⋊Q₈	—	26	1	no	—
1270	C₂²⋊Q₈	—	26	1	no	—
1271	C₂²⋊Q₈	—	26	1	no	—
1272	C₂²⋊Q₈	—	26	1	no	—
1273	C₂²⋊Q₈	—	26	1	no	—
1274	C₂²⋊Q₈	—	26	1	no	—
1275	C₂²⋊Q₈	—	26	1	no	—
1276	C₂²⋊Q₈	—	26	1	no	—
1277	C₂²⋊Q₈	—	26	1	no	—
1278	C₂²⋊Q₈	—	26	1	no	—
1279	C₂²⋊Q₈	—	26	1	no	—
1280	C₂²⋊Q₈	—	26	1	no	—
1281	C₂²⋊Q₈	—	26	1	no	—
1282	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1283	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1284	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1285	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1286	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1287	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1288	#121	—	13	1	no	—
1289	#121	—	13	1	no	—
1290	#121	—	13	1	no	—
1291	#121	—	13	1	no	—
1292	#121	—	13	1	no	—
1293	#121	—	13	1	no	—
1294	#121	—	26	1	no	—
1295	#121	—	26	1	no	—
1296	#121	—	26	1	no	—
1297	#121	—	26	1	no	—
1298	#121	—	26	1	no	—
1299	#121	—	26	1	no	—
1300	#121	—	26	1	no	—
1301	#121	—	26	1	no	—
1302	#121	—	26	1	no	—
1303	#121	—	26	1	no	—
1304	#121	—	26	1	no	—
1305	#121	—	26	1	no	—
1306	#121	—	26	1	no	—
1307	#121	—	26	1	no	—
1308	#121	—	26	1	no	—
1309	#121	—	26	1	no	—
1310	#121	—	26	1	no	—
1311	#121	—	26	1	no	—
1312	#121	C₂²×D₁₃	1	1	yes	characteristic
1313	#121	C₂²×D₁₃	1	1	yes	characteristic
1314	#120	—	2	1	no	—
1315	#120	—	26	1	no	—
1316	#120	—	26	1	no	—
1317	#120	—	26	1	no	—
1318	#120	—	26	1	no	—
1319	#120	—	26	1	no	—
1320	C₄×Q₈	—	26	1	no	—
1321	C₄×Q₈	—	26	1	no	—
1322	C₄×D₄	—	2	1	no	—
1323	C₄×D₄	—	2	1	no	—
1324	C₄×D₄	—	26	1	no	—
1325	C₄×D₄	—	26	1	no	—
1326	C₄×D₄	—	26	1	no	—
1327	C₄×D₄	—	26	1	no	—
1328	C₄×D₄	—	26	1	no	—
1329	C₄×D₄	—	26	1	no	—
1330	C₄×D₄	—	26	1	no	—
1331	C₄×D₄	—	26	1	no	—
1332	C₄×D₄	—	26	1	no	—
1333	C₄×D₄	—	26	1	no	—
1334	C₄×D₄	—	26	1	no	—
1335	C₄×D₄	—	26	1	no	—
1336	C₄×D₄	—	26	1	no	—
1337	C₄×D₄	—	26	1	no	—
1338	C₄×D₄	—	26	1	no	—
1339	C₄×D₄	—	26	1	no	—
1340	#117	—	13	1	no	—
1341	#117	—	13	1	no	—
1342	#117	—	13	1	no	—
1343	#117	—	13	1	no	—
1344	#117	—	13	1	no	—
1345	#117	C₂²×D₁₃	1	1	yes	characteristic
1346	C₂×C₄⋊C₄	—	2	1	no	—
1347	C₂×C₄⋊C₄	—	13	1	no	—
1348	C₂×C₄⋊C₄	—	13	1	no	—
1349	C₂×C₄⋊C₄	—	13	1	no	—
1350	C₂×C₄⋊C₄	—	13	1	no	—
1351	C₂×C₄⋊C₄	—	13	1	no	—
1352	C₂×C₄⋊C₄	—	26	1	no	—
1353	C₂×C₄⋊C₄	—	26	1	no	—
1354	C₂×C₄⋊C₄	—	26	1	no	—
1355	C₂×C₄⋊C₄	—	26	1	no	—
1356	C₂×C₄⋊C₄	—	26	1	no	—
1357	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1358	C₂×C₂²⋊C₄	—	2	1	no	—
1359	C₂×C₂²⋊C₄	—	26	1	no	—
1360	C₂×C₂²⋊C₄	—	26	1	no	—
1361	C₂×C₂²⋊C₄	—	26	1	no	—
1362	C₂×C₂²⋊C₄	—	26	1	no	—
1363	C₂×C₂²⋊C₄	—	26	1	no	—
1364	#107	—	13	1	no	—
1365	#107	—	13	1	no	—
1366	#107	—	13	1	no	—
1367	#107	—	13	1	no	—
1368	#107	C₂²×D₁₃	1	1	yes	characteristic
1369	#107	C₂²×D₁₃	1	1	yes	characteristic
1370	#106	—	13	1	no	—
1371	#106	—	13	1	no	—
1372	#106	—	13	1	no	—
1373	#106	—	13	1	no	—
1374	#106	—	13	1	no	—
1375	#106	—	13	1	no	—
1376	#106	—	13	1	no	—
1377	#106	—	13	1	no	—
1378	#106	C₂²×D₁₃	1	1	yes	characteristic
1379	#106	C₂²×D₁₃	1	1	yes	characteristic
1380	#103	—	13	1	no	—
1381	#103	—	13	1	no	—
1382	#103	—	13	1	no	—
1383	#103	—	13	1	no	—
1384	#103	—	13	1	no	—
1385	#103	—	13	1	no	—
1386	#103	—	13	1	no	—
1387	#103	—	13	1	no	—
1388	#103	—	13	1	no	—
1389	#103	—	13	1	no	—
1390	#103	—	13	1	no	—
1391	#103	—	13	1	no	—
1392	#103	—	13	1	no	—
1393	#103	—	13	1	no	—
1394	#103	—	13	1	no	—
1395	#103	—	13	1	no	—
1396	#103	—	13	1	no	—
1397	#103	—	13	1	no	—
1398	#103	C₂²×D₁₃	1	1	yes	characteristic
1399	#103	C₂²×D₁₃	1	1	yes	characteristic
1400	#103	C₂²×D₁₃	1	1	yes	characteristic
1401	#103	C₂²×D₁₃	1	1	yes	characteristic
1402	#103	C₂²×D₁₃	1	1	yes	characteristic
1403	#103	C₂²×D₁₃	1	1	yes	characteristic
1404	#102	—	13	1	no	—
1405	#102	—	13	1	no	—
1406	#102	—	13	1	no	—
1407	#102	—	13	1	no	—
1408	#102	—	13	1	no	—
1409	#102	—	13	1	no	—
1410	#102	C₂²×D₁₃	1	1	yes	characteristic
1411	#102	C₂²×D₁₃	1	1	yes	characteristic
1412	C₂²⋊C₈	—	13	1	no	—
1413	C₂²⋊C₈	—	13	1	no	—
1414	C₂²⋊C₈	—	13	1	no	—
1415	C₂²⋊C₈	—	13	1	no	—
1416	C₂²⋊C₈	—	13	1	no	—
1417	C₂²⋊C₈	—	13	1	no	—
1418	C₂²⋊C₈	—	13	1	no	—
1419	C₂²⋊C₈	—	13	1	no	—
1420	C₂²⋊C₈	—	13	1	no	—
1421	C₂²⋊C₈	—	13	1	no	—
1422	C₂²⋊C₈	—	13	1	no	—
1423	C₂²⋊C₈	—	13	1	no	—
1424	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1425	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1426	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1427	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1428	C₂×C₁₃	—	4	1	no	—
1429	C₂×C₁₃	—	4	1	no	—
1430	C₂×C₁₃	—	4	1	no	—
1431	C₂×C₁₃	—	8	1	no	—
1432	C₂×C₁₃	C₂×#534	1	1	yes	characteristic
1433	C₂×C₁₃	#3586	1	1	yes	characteristic
1434	C₂×C₁₃	#3586	1	1	yes	characteristic
1435	D₁₃	—	2	2	no	—
1436	D₁₃	—	4	1	no	—
1437	D₁₃	—	4	1	no	—
1438	D₁₃	—	4	1	no	—
1439	D₁₃	—	8	1	no	—
1440	C₂⁴	—	13	1	no	—
1441	C₂⁴	—	13	1	no	—
1442	C₂⁴	D₄×D₁₃	1	1	yes	characteristic
1443	#41	—	4	1	no	—
1444	#41	—	4	1	no	—
1445	#41	—	26	2	no	—
1446	#41	—	26	2	no	—
1447	#41	—	26	2	no	—
1448	#41	—	26	2	no	—
1449	#41	—	26	2	no	—
1450	#41	—	26	2	no	—
1451	#41	—	26	2	no	—
1452	#41	—	26	2	no	—
1453	#41	—	52	1	no	—
1454	#41	—	52	1	no	—
1455	#41	—	52	1	no	—
1456	#41	—	52	1	no	—
1457	#41	—	52	1	no	—
1458	#41	—	52	1	no	—
1459	#41	—	52	2	no	—
1460	#41	—	52	2	no	—
1461	#41	—	52	2	no	—
1462	#41	—	52	2	no	—
1463	#41	—	52	4	no	—
1464	#41	—	52	4	no	—
1465	#41	—	52	4	no	—
1466	#41	—	52	1	no	—
1467	#41	—	52	1	no	—
1468	#41	—	52	1	no	—
1469	#41	—	52	1	no	—
1470	#41	—	52	4	no	—
1471	#41	—	52	4	no	—
1472	#41	—	52	4	no	—
1473	C₂×Q₈	—	2	1	no	—
1474	C₂×Q₈	—	4	1	no	—
1475	C₂×Q₈	—	4	1	no	—
1476	C₂×Q₈	—	13	1	no	—
1477	C₂×Q₈	—	13	1	no	—
1478	C₂×Q₈	—	13	1	no	—
1479	C₂×Q₈	—	13	1	no	—
1480	C₂×Q₈	—	13	1	no	—
1481	C₂×Q₈	—	13	1	no	—
1482	C₂×Q₈	—	13	1	no	—
1483	C₂×Q₈	—	26	1	no	—
1484	C₂×Q₈	—	26	1	no	—
1485	C₂×Q₈	—	26	1	no	—
1486	C₂×Q₈	—	26	1	no	—
1487	C₂×Q₈	—	26	2	no	—
1488	C₂×Q₈	—	26	2	no	—
1489	C₂×Q₈	—	26	2	no	—
1490	C₂×Q₈	—	26	2	no	—
1491	C₂×Q₈	—	26	1	no	—
1492	C₂×Q₈	—	52	1	no	—
1493	C₂×Q₈	—	52	1	no	—
1494	C₂×Q₈	—	52	2	no	—
1495	C₂×Q₈	—	52	4	no	—
1496	C₂×Q₈	—	52	1	no	—
1497	C₂×Q₈	—	52	1	no	—
1498	C₂×Q₈	—	52	1	no	—
1499	C₂×Q₈	—	52	1	no	—
1500	C₂×Q₈	—	52	4	no	—
1501	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1502	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1503	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	2	1	no	—
1506	C₂×D₄	—	2	1	no	—
1507	C₂×D₄	—	13	1	no	—
1508	C₂×D₄	—	13	1	no	—
1509	C₂×D₄	—	13	1	no	—
1510	C₂×D₄	—	13	1	no	—
1511	C₂×D₄	—	13	1	no	—
1512	C₂×D₄	—	13	1	no	—
1513	C₂×D₄	—	13	1	no	—
1514	C₂×D₄	—	13	1	no	—
1515	C₂×D₄	—	13	1	no	—
1516	C₂×D₄	—	13	1	no	—
1517	C₂×D₄	—	13	1	no	—
1518	C₂×D₄	—	13	1	no	—
1519	C₂×D₄	—	13	1	no	—
1520	C₂×D₄	—	26	1	no	—
1521	C₂×D₄	—	26	1	no	—
1522	C₂×D₄	—	26	1	no	—
1523	C₂×D₄	—	26	1	no	—
1524	C₂×D₄	—	26	1	no	—
1525	C₂×D₄	—	26	1	no	—
1526	C₂×D₄	—	26	1	no	—
1527	C₂×D₄	—	26	1	no	—
1528	C₂×D₄	—	26	1	no	—
1529	C₂×D₄	—	26	1	no	—
1530	C₂×D₄	—	26	1	no	—
1531	C₂×D₄	—	52	2	no	—
1532	C₂×D₄	—	52	2	no	—
1533	C₂×D₄	—	52	2	no	—
1534	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1535	C₂²×C₄	—	2	1	no	—
1536	C₂²×C₄	—	2	1	no	—
1537	C₂²×C₄	—	2	1	no	—
1538	C₂²×C₄	—	4	1	no	—
1539	C₂²×C₄	—	4	1	no	—
1540	C₂²×C₄	—	13	1	no	—
1541	C₂²×C₄	—	13	1	no	—
1542	C₂²×C₄	—	13	1	no	—
1543	C₂²×C₄	—	13	1	no	—
1544	C₂²×C₄	—	13	1	no	—
1545	C₂²×C₄	—	13	1	no	—
1546	C₂²×C₄	—	13	1	no	—
1547	C₂²×C₄	—	13	1	no	—
1548	C₂²×C₄	—	13	1	no	—
1549	C₂²×C₄	—	13	1	no	—
1550	C₂²×C₄	—	26	2	no	—
1551	C₂²×C₄	—	26	2	no	—
1552	C₂²×C₄	—	26	1	no	—
1553	C₂²×C₄	—	26	1	no	—
1554	C₂²×C₄	—	26	1	no	—
1555	C₂²×C₄	—	26	1	no	—
1556	C₂²×C₄	—	26	1	no	—
1557	C₂²×C₄	—	26	1	no	—
1558	C₂²×C₄	—	26	1	no	—
1559	C₂²×C₄	—	26	1	no	—
1560	C₂²×C₄	—	26	1	no	—
1561	C₂²×C₄	—	26	1	no	—
1562	C₂²×C₄	—	26	1	no	—
1563	C₂²×C₄	—	26	1	no	—
1564	C₂²×C₄	—	26	1	no	—
1565	C₂²×C₄	—	26	1	no	—
1566	C₂²×C₄	—	26	1	no	—
1567	C₂²×C₄	—	52	1	no	—
1568	C₂²×C₄	—	52	1	no	—
1569	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1570	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1571	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1572	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1573	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1574	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1575	Q₁₆	—	4	1	no	—
1576	Q₁₆	—	4	1	no	—
1577	Q₁₆	—	52	1	no	—
1578	Q₁₆	—	52	1	no	—
1579	Q₁₆	—	52	1	no	—
1580	Q₁₆	—	52	1	no	—
1581	Q₁₆	—	52	1	no	—
1582	Q₁₆	—	52	1	no	—
1583	Q₁₆	—	52	1	no	—
1584	SD₁₆	—	4	1	no	—
1585	SD₁₆	—	4	1	no	—
1586	SD₁₆	—	52	1	no	—
1587	SD₁₆	—	52	1	no	—
1588	SD₁₆	—	52	1	no	—
1589	SD₁₆	—	52	1	no	—
1590	D₈	—	52	1	no	—
1591	M₁₆	—	4	1	no	—
1592	M₁₆	—	4	1	no	—
1593	M₁₆	—	26	2	no	—
1594	M₁₆	—	26	2	no	—
1595	M₁₆	—	52	1	no	—
1596	M₁₆	—	52	1	no	—
1597	M₁₆	—	52	1	no	—
1598	M₁₆	—	52	1	no	—
1599	C₂×C₈	—	13	1	no	—
1600	C₂×C₈	—	13	1	no	—
1601	C₂×C₈	—	13	1	no	—
1602	C₂×C₈	—	13	1	no	—
1603	C₂×C₈	—	26	2	no	—
1604	C₂×C₈	—	26	2	no	—
1605	C₂×C₈	—	52	1	no	—
1606	C₂×C₈	—	52	1	no	—
1607	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1608	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1609	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1610	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1611	C₄⋊C₄	—	2	1	no	—
1612	C₄⋊C₄	—	2	1	no	—
1613	C₄⋊C₄	—	2	1	no	—
1614	C₄⋊C₄	—	2	1	no	—
1615	C₄⋊C₄	—	2	1	no	—
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	—	2	1	no	—
1618	C₄⋊C₄	—	13	1	no	—
1619	C₄⋊C₄	—	13	1	no	—
1620	C₄⋊C₄	—	13	1	no	—
1621	C₄⋊C₄	—	13	1	no	—
1622	C₄⋊C₄	—	26	1	no	—
1623	C₄⋊C₄	—	26	1	no	—
1624	C₄⋊C₄	—	26	1	no	—
1625	C₄⋊C₄	—	26	1	no	—
1626	C₄⋊C₄	—	26	1	no	—
1627	C₄⋊C₄	—	26	1	no	—
1628	C₄⋊C₄	—	26	1	no	—
1629	C₄⋊C₄	—	26	1	no	—
1630	C₄⋊C₄	—	26	1	no	—
1631	C₄⋊C₄	—	26	1	no	—
1632	C₄⋊C₄	—	26	1	no	—
1633	C₄⋊C₄	—	26	1	no	—
1634	C₄⋊C₄	—	26	1	no	—
1635	C₄⋊C₄	—	26	1	no	—
1636	C₄⋊C₄	—	26	1	no	—
1637	C₄⋊C₄	—	26	1	no	—
1638	C₄⋊C₄	—	26	1	no	—
1639	C₄⋊C₄	—	26	1	no	—
1640	C₄⋊C₄	—	26	1	no	—
1641	C₄⋊C₄	—	26	1	no	—
1642	C₄⋊C₄	—	26	1	no	—
1643	C₄⋊C₄	—	26	1	no	—
1644	C₄⋊C₄	—	26	1	no	—
1645	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1646	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1647	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1648	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	2	1	no	—
1651	C₂²⋊C₄	—	2	1	no	—
1652	C₂²⋊C₄	—	2	1	no	—
1653	C₂²⋊C₄	—	2	1	no	—
1654	C₂²⋊C₄	—	2	1	no	—
1655	C₂²⋊C₄	—	2	1	no	—
1656	C₂²⋊C₄	—	2	1	no	—
1657	C₂²⋊C₄	—	2	1	no	—
1658	C₂²⋊C₄	—	26	1	no	—
1659	C₂²⋊C₄	—	26	1	no	—
1660	C₂²⋊C₄	—	26	1	no	—
1661	C₂²⋊C₄	—	26	1	no	—
1662	C₂²⋊C₄	—	26	1	no	—
1663	C₂²⋊C₄	—	26	1	no	—
1664	C₂²⋊C₄	—	26	1	no	—
1665	C₂²⋊C₄	—	26	1	no	—
1666	C₂²⋊C₄	—	26	1	no	—
1667	C₂²⋊C₄	—	26	1	no	—
1668	C₂²⋊C₄	—	26	1	no	—
1669	C₂²⋊C₄	—	26	1	no	—
1670	C₂²⋊C₄	—	26	1	no	—
1671	C₂²⋊C₄	—	26	1	no	—
1672	C₂²⋊C₄	—	26	1	no	—
1673	C₂²⋊C₄	—	26	1	no	—
1674	C₂²⋊C₄	—	26	1	no	—
1675	C₂²⋊C₄	—	26	1	no	—
1676	C₂²⋊C₄	—	26	1	no	—
1677	C₂²⋊C₄	—	26	1	no	—
1678	C₂²⋊C₄	—	26	1	no	—
1679	C₂²⋊C₄	—	26	1	no	—
1680	C₂²⋊C₄	—	26	1	no	—
1681	C₂²⋊C₄	—	26	1	no	—
1682	C₂²⋊C₄	—	26	1	no	—
1683	C₂²⋊C₄	—	26	1	no	—
1684	C₂²⋊C₄	—	26	1	no	—
1685	C₂²⋊C₄	—	26	1	no	—
1686	C₂²⋊C₄	—	26	1	no	—
1687	C₄²	—	2	1	no	—
1688	C₄²	—	26	1	no	—
1689	C₄²	—	26	1	no	—
1690	C₄²	—	26	1	no	—
1691	C₄²	—	26	1	no	—
1692	C₄²	—	26	1	no	—
1693	C₁₃	#60773	1	1	yes	characteristic, complemented, Sylow
1694	C₂³	—	2	1	no	—
1695	C₂³	—	4	1	no	—
1696	C₂³	—	4	1	no	—
1697	C₂³	—	4	1	no	—
1698	C₂³	—	13	1	no	—
1699	C₂³	—	13	1	no	—
1700	C₂³	—	13	1	no	—
1701	C₂³	—	13	1	no	—
1702	C₂³	—	26	2	no	—
1703	C₂³	—	26	1	no	—
1704	C₂³	—	52	1	no	—
1705	C₂³	—	52	1	no	—
1706	C₂³	—	52	1	no	—
1707	C₂³	—	52	1	no	—
1708	C₂³	—	52	1	no	—
1709	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1710	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1711	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1712	Q₈	—	2	1	no	—
1713	Q₈	—	2	1	no	—
1714	Q₈	—	2	1	no	—
1715	Q₈	—	2	1	no	—
1716	Q₈	—	2	1	no	—
1717	Q₈	—	2	1	no	—
1718	Q₈	—	4	2	no	—
1719	Q₈	—	26	2	no	—
1720	Q₈	—	26	2	no	—
1721	Q₈	—	26	1	no	—
1722	Q₈	—	26	1	no	—
1723	Q₈	—	26	1	no	—
1724	Q₈	—	26	1	no	—
1725	Q₈	—	26	1	no	—
1726	Q₈	—	26	1	no	—
1727	Q₈	—	52	1	no	—
1728	Q₈	—	52	1	no	—
1729	Q₈	—	52	2	no	—
1730	Q₈	—	52	2	no	—
1731	Q₈	—	52	2	no	—
1732	Q₈	—	52	2	no	—
1733	Q₈	—	52	2	no	—
1734	D₄	—	2	1	no	—
1735	D₄	—	2	1	no	—
1736	D₄	—	4	2	no	—
1737	D₄	—	4	2	no	—
1738	D₄	—	8	1	no	—
1739	D₄	—	26	2	no	—
1740	D₄	—	26	2	no	—
1741	D₄	—	26	2	no	—
1742	D₄	—	26	2	no	—
1743	D₄	—	26	2	no	—
1744	D₄	—	26	2	no	—
1745	D₄	—	26	1	no	—
1746	D₄	—	26	1	no	—
1747	D₄	—	52	1	no	—
1748	D₄	—	52	1	no	—
1749	D₄	—	52	2	no	—
1750	D₄	—	52	2	no	—
1751	D₄	—	52	1	no	—
1752	D₄	—	52	1	no	—
1753	D₄	—	52	1	no	—
1754	D₄	—	52	1	no	—
1755	D₄	—	52	2	no	—
1756	D₄	—	52	2	no	—
1757	D₄	—	52	2	no	—
1758	D₄	—	52	2	no	—
1759	D₄	—	104	1	no	—
1760	D₄	—	104	1	no	—
1761	D₄	—	104	1	no	—
1762	D₄	—	104	1	no	—
1763	D₄	—	104	1	no	—
1764	C₂×C₄	—	2	1	no	—
1765	C₂×C₄	—	2	1	no	—
1766	C₂×C₄	—	2	1	no	—
1767	C₂×C₄	—	2	1	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	2	1	no	—
1770	C₂×C₄	—	2	1	no	—
1771	C₂×C₄	—	2	1	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	2	1	no	—
1774	C₂×C₄	—	2	1	no	—
1775	C₂×C₄	—	2	1	no	—
1776	C₂×C₄	—	2	1	no	—
1777	C₂×C₄	—	4	1	no	—
1778	C₂×C₄	—	4	1	no	—
1779	C₂×C₄	—	4	1	no	—
1780	C₂×C₄	—	4	2	no	—
1781	C₂×C₄	—	4	2	no	—
1782	C₂×C₄	—	8	1	no	—
1783	C₂×C₄	—	13	1	no	—
1784	C₂×C₄	—	13	2	no	—
1785	C₂×C₄	—	13	2	no	—
1786	C₂×C₄	—	13	1	no	—
1787	C₂×C₄	—	13	1	no	—
1788	C₂×C₄	—	13	1	no	—
1789	C₂×C₄	—	26	2	no	—
1790	C₂×C₄	—	26	2	no	—
1791	C₂×C₄	—	26	2	no	—
1792	C₂×C₄	—	26	1	no	—
1793	C₂×C₄	—	26	1	no	—
1794	C₂×C₄	—	26	1	no	—
1795	C₂×C₄	—	26	1	no	—
1796	C₂×C₄	—	26	1	no	—
1797	C₂×C₄	—	26	1	no	—
1798	C₂×C₄	—	26	1	no	—
1799	C₂×C₄	—	26	1	no	—
1800	C₂×C₄	—	26	1	no	—
1801	C₂×C₄	—	26	1	no	—
1802	C₂×C₄	—	26	1	no	—
1803	C₂×C₄	—	26	1	no	—
1804	C₂×C₄	—	26	1	no	—
1805	C₂×C₄	—	52	1	no	—
1806	C₂×C₄	—	52	1	no	—
1807	C₂×C₄	—	52	2	no	—
1808	C₂×C₄	—	52	2	no	—
1809	C₂×C₄	—	52	2	no	—
1810	C₂×C₄	—	52	2	no	—
1811	C₂×C₄	—	52	2	no	—
1812	C₂×C₄	—	52	2	no	—
1813	C₂×C₄	—	52	2	no	—
1814	C₂×C₄	—	52	2	no	—
1815	C₂×C₄	—	52	1	no	—
1816	C₂×C₄	—	52	2	no	—
1817	C₂×C₄	—	52	2	no	—
1818	C₂×C₄	—	104	1	no	—
1819	C₂×C₄	—	104	1	no	—
1820	C₂×C₄	—	104	1	no	—
1821	C₂×C₄	—	104	1	no	—
1822	C₂×C₄	—	104	1	no	—
1823	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1824	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1825	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1826	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1827	C₈	—	2	1	no	—
1828	C₈	—	2	1	no	—
1829	C₈	—	2	1	no	—
1830	C₈	—	2	1	no	—
1831	C₈	—	26	1	no	—
1832	C₈	—	26	1	no	—
1833	C₈	—	26	1	no	—
1834	C₈	—	26	1	no	—
1835	C₂²	—	2	1	no	—
1836	C₂²	—	2	1	no	—
1837	C₂²	—	2	1	no	—
1838	C₂²	—	2	1	no	—
1839	C₂²	—	2	1	no	—
1840	C₂²	—	2	1	no	—
1841	C₂²	—	2	1	no	—
1842	C₂²	—	2	1	no	—
1843	C₂²	—	2	1	no	—
1844	C₂²	—	4	1	no	—
1845	C₂²	—	4	1	no	—
1846	C₂²	—	4	1	no	—
1847	C₂²	—	8	2	no	—
1848	C₂²	—	13	2	no	—
1849	C₂²	—	26	1	no	—
1850	C₂²	—	26	1	no	—
1851	C₂²	—	26	1	no	—
1852	C₂²	—	26	1	no	—
1853	C₂²	—	26	1	no	—
1854	C₂²	—	26	1	no	—
1855	C₂²	—	26	1	no	—
1856	C₂²	—	26	1	no	—
1857	C₂²	—	26	1	no	—
1858	C₂²	—	26	1	no	—
1859	C₂²	—	26	1	no	—
1860	C₂²	—	52	1	no	—
1861	C₂²	—	52	1	no	—
1862	C₂²	—	52	1	no	—
1863	C₂²	—	104	2	no	—
1864	C₂²	—	104	2	no	—
1865	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1866	C₄	—	2	1	no	—
1867	C₄	—	2	1	no	—
1868	C₄	—	2	1	no	—
1869	C₄	—	4	1	no	—
1870	C₄	—	4	1	no	—
1871	C₄	—	4	1	no	—
1872	C₄	—	4	1	no	—
1873	C₄	—	4	1	no	—
1874	C₄	—	4	1	no	—
1875	C₄	—	4	1	no	—
1876	C₄	—	13	2	no	—
1877	C₄	—	26	1	no	—
1878	C₄	—	26	1	no	—
1879	C₄	—	26	1	no	—
1880	C₄	—	52	1	no	—
1881	C₄	—	52	1	no	—
1882	C₄	—	52	1	no	—
1883	C₄	—	52	1	no	—
1884	C₄	—	52	1	no	—
1885	C₄	—	52	1	no	—
1886	C₄	—	52	1	no	—
1887	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1888	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1889	C₂	—	4	1	no	—
1890	C₂	—	4	1	no	—
1891	C₂	—	4	1	no	—
1892	C₂	—	8	1	no	—
1893	C₂	—	26	2	no	—
1894	C₂	—	52	1	no	—
1895	C₂	—	52	1	no	—
1896	C₂	—	52	1	no	—
1897	C₂	—	104	1	no	—
1898	C₂	D₁₃×#534	1	1	yes	characteristic
1899	C₂	#13129619	1	1	yes	characteristic
1900	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×#3196	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3196	D₁₃
hypocenter	C₁₃	#60773
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ #3196

Complements

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

N	H ≅ G/N	type
1. #13128512	C₂	semidirect
2. #13128508	C₂	semidirect
3. #13125749	C₂	semidirect
4. #13125744	C₂	semidirect
5. #13125730	C₂	semidirect
6. #13125729	C₂	semidirect
7. #13125724	C₂	semidirect
8. #13125723	C₂	semidirect
9. #13125717	C₂	semidirect
10. #13125714	C₂	semidirect
11. #13125674	C₂	semidirect
12. #13125673	C₂	semidirect
13. #13125668	C₂	semidirect
14. #13125667	C₂	semidirect
15. #13125661	C₂	semidirect
16. #13125657	C₂	semidirect
17. #13125656	C₂	semidirect
18. #13124826	C₂	semidirect
19. #13124822	C₂	semidirect
20. #13124804	C₂	semidirect
21. #13124800	C₂	semidirect
22. #13124465	C₂	semidirect
23. #13124461	C₂	semidirect
24. #13124440	C₂	semidirect
25. D₁₃×#470	C₂	semidirect
26. #13124155	C₂	semidirect
27. #13124146	C₂	semidirect
28. #13124128	C₂	semidirect
29. #13124126	C₂	semidirect
30. #13123279	C₂	semidirect
31. C₁₃×#3196	C₂	semidirect
41. C₂×#88172	C₂²	semidirect
42. C₂×Q₁₆×D₁₃	C₂²	semidirect
43. C₂×#88170	C₂²	semidirect
44. C₂×#88169	C₂²	semidirect
83. C₁₃×#485	C₂²	semidirect
84. C₁₃×#485	C₂²	semidirect
85. C₁₃×#484	C₂²	semidirect
86. C₁₃×#481	C₂²	semidirect
91. C₁₃×#452	C₂²	semidirect
92. C₁₃×#452	C₂²	semidirect
93. C₁₃×#451	C₂²	semidirect
94. C₁₃×#448	C₂²	semidirect
96. #11718900	C₂²	semidirect
97. #11718899	C₂²	semidirect
98. #11718889	C₂²	semidirect
99. #11718889	C₂²	semidirect
101. #11718850	C₂²	semidirect
102. #11718849	C₂²	semidirect
103. #11718848	C₂²	semidirect
104. #11718847	C₂²	semidirect
105. #11718847	C₂²	semidirect
106. #11718847	C₂²	semidirect
107. #11718835	C₂²	semidirect
108. #11718834	C₂²	semidirect
109. #11718834	C₂²	semidirect
110. #11718833	C₂²	semidirect
111. #11718832	C₂²	semidirect
112. #11718831	C₂²	semidirect
124. #11718711	C₂²	semidirect
125. #11718711	C₂²	semidirect
127. #11718708	C₂²	semidirect
128. #11718706	C₂²	semidirect
129. #11718704	C₂²	semidirect
130. #11718704	C₂²	semidirect
133. #11718698	C₂²	semidirect
134. #11718696	C₂²	semidirect
135. #11718664	C₂²	semidirect
136. #11718657	C₂²	semidirect
137. #11718632	C₂²	semidirect
138. #11718632	C₂²	semidirect
139. #11718549	C₂²	semidirect
140. #11718549	C₂²	semidirect
141. #11718548	C₂²	semidirect
142. #11718547	C₂²	semidirect
143. #11718546	C₂²	semidirect
144. #11718545	C₂²	semidirect
145. #11718542	C₂²	semidirect
146. #11718541	C₂²	semidirect
147. #11718529	C₂²	semidirect
148. #11718528	C₂²	semidirect
149. #11718525	C₂²	semidirect
150. #11718524	C₂²	semidirect
151. #11718523	C₂²	semidirect
152. #11718523	C₂²	semidirect
153. #11718522	C₂²	semidirect
154. D₁₃×#106	C₂²	semidirect
155. #11718477	C₂²	semidirect
156. #11718477	C₂²	semidirect
157. #11718477	C₂²	semidirect
158. #11718476	C₂²	semidirect
159. #11718475	C₂²	semidirect
160. #11718475	C₂²	semidirect
161. #11718474	C₂²	semidirect
162. #11718474	C₂²	semidirect
163. #11718471	C₂²	semidirect
164. #11718471	C₂²	semidirect
165. #11718470	C₂²	semidirect
166. #11718469	C₂²	semidirect
167. #11718469	C₂²	semidirect
168. #11718469	C₂²	semidirect
169. #11718468	C₂²	semidirect
170. #11718467	C₂²	semidirect
171. #11718466	C₂²	semidirect
172. #11718466	C₂²	semidirect
173. #11718465	C₂²	semidirect
174. #11718464	C₂²	semidirect
175. #11718463	C₂²	semidirect
176. #11718463	C₂²	semidirect
177. D₁₃×#103	C₂²	semidirect
178. D₁₃×#103	C₂²	semidirect
179. #11718445	C₂²	semidirect
180. #11718444	C₂²	semidirect
181. #11718443	C₂²	semidirect
182. #11718442	C₂²	semidirect
183. #11718439	C₂²	semidirect
184. #11718438	C₂²	semidirect
185. #11718433	C₂²	semidirect
186. #11718432	C₂²	semidirect
187. #11718400	C₂²	semidirect
188. #11718399	C₂²	semidirect
189. #11718396	C₂²	semidirect
190. #11718394	C₂²	semidirect
191. #11718394	C₂²	semidirect
200. #11718384	C₂²	semidirect
201. #11718384	C₂²	semidirect
202. #11718383	C₂²	semidirect
759. #3196	D₁₃	semidirect
977. #485	C₂×D₁₃	semidirect
978. #485	C₂×D₁₃	semidirect
982. #484	C₂×D₁₃	semidirect
998. #481	C₂×D₁₃	semidirect
1041. #452	C₂×D₁₃	semidirect
1042. #452	C₂×D₁₃	semidirect
1054. #451	C₂×D₁₃	semidirect
1062. #448	C₂×D₁₃	semidirect
1693. C₁₃	#60773	semidirect

Maximal subgroups

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

subgroup	index
#13128512	2
#13128508	2
#13125749	2
#13125744	2
#13125730	2
#13125729	2
#13125724	2
#13125723	2
#13125717	2
#13125714	2
#13125674	2
#13125673	2
#13125668	2
#13125667	2
#13125661	2
#13125657	2
#13125656	2
#13124826	2
#13124822	2
#13124804	2
#13124800	2
#13124465	2
#13124461	2
#13124440	2
D₁₃×#470	2
#13124155	2
#13124146	2
#13124128	2
#13124126	2
#13123279	2
C₁₃×#3196	2
#60773	13