Subgroups — #16733794

Order 3328.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128514	C₂	1	1	yes	maximal, characteristic
2	D₁₃×#536	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125730	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125729	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125727	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125724	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125722	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125720	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125718	C₂	1	1	yes	maximal, characteristic, complemented
10	#13125670	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125667	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125658	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125656	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125621	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125618	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125609	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125607	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124802	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124800	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124783	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124754	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124526	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124524	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124489	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124486	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124126	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124126	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124071	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#451	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123284	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3202	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×#88254	C₂²	1	1	yes	characteristic
34	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
35	C₁₃×#536	C₂²	1	1	yes	characteristic
36	C₁₃×#536	C₂²	1	1	yes	characteristic
37	#11719538	C₂²	1	1	yes	characteristic
38	#11719530	C₂²	1	1	yes	characteristic
39	#11719521	C₂²	1	1	yes	characteristic
40	C₂×#88200	C₂²	1	1	yes	characteristic
41	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
43	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88161	C₂²	1	1	yes	characteristic
46	C₂×#88155	C₂²	1	1	yes	characteristic
47	#11719432	—	2	1	no	—
48	#11719431	—	2	1	no	—
49	#11719429	—	2	1	no	—
50	D₁₃×C₄⋊Q₈	—	2	1	no	—
51	#11719382	—	2	1	no	—
52	#11719381	—	2	1	no	—
53	#11719380	—	2	1	no	—
54	D₁₃×#124	—	2	1	no	—
55	#11719360	—	2	1	no	—
56	#11719360	—	2	1	no	—
57	#11719359	—	2	1	no	—
58	#11719359	—	2	1	no	—
59	D₁₃×#123	—	2	1	no	—
60	D₁₃×#123	—	2	1	no	—
61	#11719353	—	2	1	no	—
62	#11719353	—	2	1	no	—
63	#11719334	C₂²	1	1	yes	characteristic
64	#11719334	C₂²	1	1	yes	characteristic
65	#11719333	C₂²	1	1	yes	characteristic
66	#11719333	C₂²	1	1	yes	characteristic
67	#11719333	C₂²	1	1	yes	characteristic
68	#11719333	C₂²	1	1	yes	characteristic
69	#11719333	C₂²	1	1	yes	characteristic
70	#11719333	C₂²	1	1	yes	characteristic
71	#11719332	C₂²	1	1	yes	characteristic
72	#11719332	C₂²	1	1	yes	characteristic
73	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
74	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
75	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
76	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
77	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
78	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
79	#11719231	C₂²	1	1	yes	characteristic
80	#11719229	C₂²	1	1	yes	characteristic
81	#11719228	C₂²	1	1	yes	characteristic
82	D₁₃×#117	C₂²	1	1	yes	characteristic
83	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#408	C₂²	1	1	yes	characteristic
96	#11718895	C₂²	1	1	yes	characteristic
97	#11718889	C₂²	1	1	yes	characteristic, complemented
98	#11718889	C₂²	1	1	yes	characteristic, complemented
99	#11718889	C₂²	1	1	yes	characteristic, complemented
100	#11718888	C₂²	1	1	yes	characteristic, complemented
101	#11718850	C₂²	1	1	yes	characteristic, complemented
102	#11718850	C₂²	1	1	yes	characteristic, complemented
103	#11718849	C₂²	1	1	yes	characteristic, complemented
104	#11718849	C₂²	1	1	yes	characteristic, complemented
105	#11718848	C₂²	1	1	yes	characteristic, complemented
106	#11718848	C₂²	1	1	yes	characteristic, complemented
107	#11718847	C₂²	1	1	yes	characteristic
108	#11718847	C₂²	1	1	yes	characteristic
109	#11718847	C₂²	1	1	yes	characteristic
110	#11718847	C₂²	1	1	yes	characteristic
111	#11718847	C₂²	1	1	yes	characteristic, complemented
112	#11718847	C₂²	1	1	yes	characteristic, complemented
113	#11718798	C₂²	1	1	yes	characteristic, complemented
114	#11718795	C₂²	1	1	yes	characteristic, complemented
115	#11718787	C₂²	1	1	yes	characteristic
116	#11718777	C₂²	1	1	yes	characteristic, complemented
117	#11718775	C₂²	1	1	yes	characteristic, complemented
118	C₂×#88060	C₂²	1	1	yes	characteristic
119	#11718713	C₂²	1	1	yes	characteristic, complemented
120	#11718713	C₂²	1	1	yes	characteristic, complemented
121	#11718713	C₂²	1	1	yes	characteristic, complemented
122	#11718712	C₂²	1	1	yes	characteristic, complemented
123	#11718712	C₂²	1	1	yes	characteristic, complemented
124	#11718712	C₂²	1	1	yes	characteristic, complemented
125	#11718711	C₂²	1	1	yes	characteristic, complemented
126	#11718711	C₂²	1	1	yes	characteristic, complemented
127	#11718710	C₂²	1	1	yes	characteristic, complemented
128	#11718709	C₂²	1	1	yes	characteristic, complemented
129	#11718708	C₂²	1	1	yes	characteristic, complemented
130	#11718708	C₂²	1	1	yes	characteristic, complemented
131	#11718706	C₂²	1	1	yes	characteristic, complemented
132	#11718706	C₂²	1	1	yes	characteristic, complemented
133	#11718705	C₂²	1	1	yes	characteristic, complemented
134	#11718704	C₂²	1	1	yes	characteristic, complemented
135	#11718664	C₂²	1	1	yes	characteristic, complemented
136	#11718657	C₂²	1	1	yes	characteristic, complemented
137	#11718657	C₂²	1	1	yes	characteristic, complemented
138	#11718657	C₂²	1	1	yes	characteristic, complemented
139	#11718549	C₂²	1	1	yes	characteristic, complemented
140	#11718548	C₂²	1	1	yes	characteristic, complemented
141	#11718547	C₂²	1	1	yes	characteristic, complemented
142	#11718545	C₂²	1	1	yes	characteristic
143	#11718545	C₂²	1	1	yes	characteristic, complemented
144	#11718543	C₂²	1	1	yes	characteristic
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
151	#11718523	C₂²	1	1	yes	characteristic
152	#11718523	C₂²	1	1	yes	characteristic, complemented
153	#11718522	C₂²	1	1	yes	characteristic, complemented
154	#11718521	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	#11718474	C₂²	1	1	yes	characteristic, complemented
161	#11718474	C₂²	1	1	yes	characteristic, complemented
162	#11718474	C₂²	1	1	yes	characteristic, complemented
163	#11718473	C₂²	1	1	yes	characteristic, complemented
164	#11718471	C₂²	1	1	yes	characteristic, complemented
165	#11718471	C₂²	1	1	yes	characteristic, complemented
166	#11718470	C₂²	1	1	yes	characteristic
167	#11718470	C₂²	1	1	yes	characteristic
168	#11718470	C₂²	1	1	yes	characteristic, complemented
169	#11718469	C₂²	1	1	yes	characteristic
170	#11718469	C₂²	1	1	yes	characteristic
171	#11718469	C₂²	1	1	yes	characteristic, complemented
172	#11718469	C₂²	1	1	yes	characteristic, complemented
173	#11718468	C₂²	1	1	yes	characteristic, complemented
174	#11718467	C₂²	1	1	yes	characteristic
175	#11718467	C₂²	1	1	yes	characteristic
176	#11718466	C₂²	1	1	yes	characteristic
177	#11718466	C₂²	1	1	yes	characteristic
178	#11718466	C₂²	1	1	yes	characteristic, complemented
179	#11718465	C₂²	1	1	yes	characteristic, complemented
180	#11718465	C₂²	1	1	yes	characteristic, complemented
181	#11718463	C₂²	1	1	yes	characteristic, complemented
182	#11718463	C₂²	1	1	yes	characteristic, complemented
183	#11718463	C₂²	1	1	yes	characteristic, complemented
184	#11718463	C₂²	1	1	yes	characteristic, complemented
185	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
186	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
187	#11718400	C₂²	1	1	yes	characteristic, complemented
188	#11718399	C₂²	1	1	yes	characteristic, complemented
189	#11718398	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	#11718387	C₂²	1	1	yes	characteristic
197	#11718387	C₂²	1	1	yes	characteristic
198	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
199	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
200	#11718384	C₂²	1	1	yes	characteristic, complemented
201	#11718383	C₂²	1	1	yes	characteristic, complemented
202	#11718382	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
206	#41×D₁₃	—	4	2	no	—
207	#41×D₁₃	—	4	2	no	—
208	#88254	—	4	2	no	—
209	#88254	—	4	2	no	—
210	C₂×#6131	—	2	1	no	—
211	C₂×#6131	D₄	1	1	yes	characteristic
212	C₂×#6131	C₂³	1	1	yes	characteristic
213	C₂×#6131	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₁₃	—	2	1	no	—
215	C₂×Q₈×D₁₃	—	2	1	no	—
216	C₂×Q₈×D₁₃	—	2	1	no	—
217	C₂×Q₈×D₁₃	—	4	2	no	—
218	C₂×Q₈×D₁₃	—	4	2	no	—
219	C₂×Q₈×D₁₃	D₄	1	1	yes	characteristic
220	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
221	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
223	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
224	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×#6129	D₄	1	1	yes	characteristic
227	C₂×#6129	D₄	1	1	yes	characteristic
228	C₂×#6129	D₄	1	1	yes	characteristic
229	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
230	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
231	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
232	C₂×#6127	—	2	1	no	—
233	C₂×#6127	—	2	1	no	—
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×C₄×D₁₃	—	2	1	no	—
239	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
240	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
241	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
242	C₂²×Dic₂₆	—	2	1	no	—
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×Q₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
249	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₁₃×C₄⋊Q₈	—	2	1	no	—
251	C₁₃×C₄⋊Q₈	—	2	1	no	—
252	C₁₃×#124	—	2	1	no	—
253	C₁₃×#124	—	2	1	no	—
254	C₁₃×#123	—	2	1	no	—
255	C₁₃×#123	—	2	1	no	—
256	C₁₃×#123	—	2	1	no	—
257	C₁₃×#123	—	2	1	no	—
258	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
259	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
260	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
261	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
262	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
263	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
264	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
265	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
266	C₁₃×#117	C₂³	1	1	yes	characteristic
267	C₁₃×#117	C₂³	1	1	yes	characteristic
268	#88201	—	2	1	no	—
269	#88200	—	2	1	no	—
270	#88200	—	2	1	no	—
271	#88200	—	2	1	no	—
272	#88200	C₂³	1	1	yes	characteristic
273	#88200	C₂³	1	1	yes	characteristic
274	#88200	C₂³	1	1	yes	characteristic
275	#88200	C₂³	1	1	yes	characteristic
276	#88200	C₂³	1	1	yes	characteristic
277	#88200	C₂³	1	1	yes	characteristic
278	#88200	C₂³	1	1	yes	characteristic
279	#88200	C₂³	1	1	yes	characteristic
280	#88198	—	2	1	no	—
281	#88198	—	2	1	no	—
282	C₂×#6107	C₂³	1	1	yes	characteristic
283	C₂×#6107	C₂³	1	1	yes	characteristic
284	C₂×#6107	C₂³	1	1	yes	characteristic
285	C₂×#6107	C₂³	1	1	yes	characteristic
286	C₂×#6107	C₂³	1	1	yes	characteristic
287	C₂×#6107	C₂³	1	1	yes	characteristic
288	C₂×#6106	C₂³	1	1	yes	characteristic
289	C₂×#6106	C₂³	1	1	yes	characteristic
290	#88193	—	2	1	no	—
291	#88193	—	2	1	no	—
292	#88192	—	2	1	no	—
293	#88190	—	2	1	no	—
294	#88189	—	2	1	no	—
295	#88189	—	2	1	no	—
296	#88184	C₂³	1	1	yes	characteristic
297	#88184	C₂³	1	1	yes	characteristic
298	#88183	—	2	1	no	—
299	#88183	—	2	1	no	—
300	C₂×#6103	—	2	1	no	—
301	#88180	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
303	#88178	C₂³	1	1	yes	characteristic
304	#88178	C₂³	1	1	yes	characteristic
305	#88178	C₂³	1	1	yes	characteristic
306	#88178	C₂³	1	1	yes	characteristic
307	#88178	C₂³	1	1	yes	characteristic
308	#88178	C₂³	1	1	yes	characteristic
309	C₂×#6101	—	2	1	no	—
310	C₂×#6099	C₂³	1	1	yes	characteristic
311	C₂²×#1055	C₂³	1	1	yes	characteristic
312	#88172	—	4	2	no	—
313	#88172	—	4	2	no	—
314	Q₁₆×D₁₃	—	4	2	no	—
315	Q₁₆×D₁₃	—	4	2	no	—
316	#88161	—	4	2	no	—
317	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
318	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
319	C₂×#6095	C₂³	1	1	yes	characteristic
320	C₂×#6095	C₂³	1	1	yes	characteristic
321	#88155	—	4	2	no	—
322	C₂×#6094	C₂³	1	1	yes	characteristic
323	C₂×#6094	C₂³	1	1	yes	characteristic
324	C₂×#6094	C₂³	1	1	yes	characteristic
325	C₂×#6094	C₂³	1	1	yes	characteristic
326	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
327	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
328	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
329	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
330	#88151	C₂³	1	1	yes	characteristic
331	#88151	C₂³	1	1	yes	characteristic
332	#88151	C₂³	1	1	yes	characteristic
333	#88151	C₂³	1	1	yes	characteristic
334	#88151	C₂³	1	1	yes	characteristic
335	#88151	C₂³	1	1	yes	characteristic
336	#88150	—	2	1	no	—
337	#88150	—	2	1	no	—
338	#88150	—	2	1	no	—
339	#88150	—	2	1	no	—
340	#88150	—	2	1	no	—
341	#88150	—	2	1	no	—
342	#88150	—	2	1	no	—
343	#88150	—	2	1	no	—
344	#88149	—	2	1	no	—
345	#88149	—	2	1	no	—
346	#88149	C₂³	1	1	yes	characteristic
347	#88149	C₂³	1	1	yes	characteristic
348	#88148	—	2	1	no	—
349	#88148	—	2	1	no	—
350	#88148	—	2	1	no	—
351	#88148	—	2	1	no	—
352	#88148	—	2	1	no	—
353	#88148	—	2	1	no	—
354	#88148	—	2	1	no	—
355	#88148	—	2	1	no	—
356	#88147	—	2	1	no	—
357	#88147	—	2	1	no	—
358	#88146	C₂³	1	1	yes	characteristic
359	#88146	C₂³	1	1	yes	characteristic
360	#88146	C₂³	1	1	yes	characteristic
361	#88146	C₂³	1	1	yes	characteristic
362	C₄⋊C₄×D₁₃	—	2	1	no	—
363	C₄⋊C₄×D₁₃	—	2	1	no	—
364	C₄⋊C₄×D₁₃	—	2	1	no	—
365	C₄⋊C₄×D₁₃	—	2	1	no	—
366	C₄⋊C₄×D₁₃	—	2	1	no	—
367	C₄⋊C₄×D₁₃	—	2	1	no	—
368	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
369	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
370	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
371	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
372	#88142	—	2	1	no	—
373	#88142	—	2	1	no	—
374	#88142	—	2	1	no	—
375	#88142	—	2	1	no	—
376	#88142	—	2	1	no	—
377	#88142	—	2	1	no	—
378	#88140	—	2	1	no	—
379	#88140	—	2	1	no	—
380	#88140	—	2	1	no	—
381	#88139	—	2	1	no	—
382	#88139	—	2	1	no	—
383	#88139	—	2	1	no	—
384	#88139	—	2	1	no	—
385	#88139	—	2	1	no	—
386	#88139	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88138	—	2	1	no	—
389	#88138	—	2	1	no	—
390	#88138	—	2	1	no	—
391	#88137	—	2	1	no	—
392	#88137	—	2	1	no	—
393	#88137	—	2	1	no	—
394	#88137	—	2	1	no	—
395	#88137	—	2	1	no	—
396	#88137	—	2	1	no	—
397	#88136	—	2	1	no	—
398	#88136	—	2	1	no	—
399	#88136	—	2	1	no	—
400	#88135	—	2	1	no	—
401	#88135	—	2	1	no	—
402	#88135	—	2	1	no	—
403	#88135	—	2	1	no	—
404	C₂²⋊C₄×D₁₃	—	2	1	no	—
405	C₂²⋊C₄×D₁₃	—	2	1	no	—
406	C₂²⋊C₄×D₁₃	—	2	1	no	—
407	C₂²⋊C₄×D₁₃	—	2	1	no	—
408	C₂²⋊C₄×D₁₃	—	2	1	no	—
409	C₂²⋊C₄×D₁₃	—	2	1	no	—
410	C₂²⋊C₄×D₁₃	—	2	1	no	—
411	#88132	—	2	1	no	—
412	#88132	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	—	2	1	no	—
415	#88132	—	2	1	no	—
416	#88132	—	2	1	no	—
417	#88131	—	2	1	no	—
418	#88129	—	2	1	no	—
419	C₄×D₅₂	—	2	1	no	—
420	C₄×D₅₂	—	2	1	no	—
421	C₄×D₅₂	—	2	1	no	—
422	#88126	—	2	1	no	—
423	C₄²×D₁₃	—	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×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	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	#88075	C₂³	1	1	yes	characteristic
449	#88075	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	#88047	C₂³	1	1	yes	characteristic
487	#88047	C₂³	1	1	yes	characteristic
488	#88047	C₂³	1	1	yes	characteristic
489	#88047	C₂³	1	1	yes	characteristic
490	#60759	—	13	1	no	maximal, Sylow
491	C₂³×D₁₃	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	—	2	1	no	—
498	C₂×Q₈×C₁₃	—	4	1	no	—
499	C₂×Q₈×C₁₃	—	4	1	no	—
500	C₂×Q₈×C₁₃	—	4	1	no	—
501	C₂×Q₈×C₁₃	—	4	1	no	—
502	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
510	C₂²×C₄×C₁₃	—	2	1	no	—
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
519	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
521	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
522	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
523	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
524	C₂²×Dic₁₃	—	2	1	no	—
525	C₂²×Dic₁₃	—	2	1	no	—
526	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
529	#6131	—	2	2	no	—
530	#6131	—	2	2	no	—
531	#6131	—	4	2	no	—
532	#6131	—	4	1	no	—
533	#6131	—	4	1	no	—
534	#6131	—	4	4	no	—
535	Q₈×D₁₃	—	2	2	no	—
536	Q₈×D₁₃	—	2	2	no	—
537	Q₈×D₁₃	—	2	2	no	—
538	Q₈×D₁₃	—	2	2	no	—
539	Q₈×D₁₃	—	2	2	no	—
540	Q₈×D₁₃	—	2	2	no	—
541	Q₈×D₁₃	—	4	2	no	—
542	Q₈×D₁₃	—	4	1	no	—
543	Q₈×D₁₃	—	4	1	no	—
544	Q₈×D₁₃	—	4	1	no	—
545	Q₈×D₁₃	—	4	1	no	—
546	Q₈×D₁₃	—	4	1	no	—
547	Q₈×D₁₃	—	4	1	no	—
548	Q₈×D₁₃	—	4	4	no	—
549	Q₈×D₁₃	—	4	4	no	—
550	Q₈×D₁₃	—	4	4	no	—
551	#6129	—	4	2	no	—
552	#6129	—	4	2	no	—
553	#6129	—	4	2	no	—
554	D₄×D₁₃	—	4	2	no	—
555	D₄×D₁₃	—	4	2	no	—
556	D₄×D₁₃	—	4	2	no	—
557	#6127	—	2	2	no	—
558	#6127	—	2	2	no	—
559	#6127	—	2	2	no	—
560	#6127	—	2	2	no	—
561	#6127	—	4	1	no	—
562	#6127	—	4	1	no	—
563	#6127	—	4	1	no	—
564	#6127	—	4	1	no	—
565	#6127	—	4	4	no	—
566	#6127	—	4	4	no	—
567	C₂×D₅₂	—	2	1	no	—
568	C₂×D₅₂	—	2	1	no	—
569	C₂×D₅₂	—	2	1	no	—
570	C₂×D₅₂	—	2	1	no	—
571	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
572	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
573	C₂×D₅₂	C₂×D₄	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	1	no	—
578	C₂×C₄×D₁₃	—	2	1	no	—
579	C₂×C₄×D₁₃	—	2	1	no	—
580	C₂×C₄×D₁₃	—	2	1	no	—
581	C₂×C₄×D₁₃	—	2	1	no	—
582	C₂×C₄×D₁₃	—	2	1	no	—
583	C₂×C₄×D₁₃	—	2	1	no	—
584	C₂×C₄×D₁₃	—	2	1	no	—
585	C₂×C₄×D₁₃	—	2	1	no	—
586	C₂×C₄×D₁₃	—	2	1	no	—
587	C₂×C₄×D₁₃	—	2	1	no	—
588	C₂×C₄×D₁₃	—	2	1	no	—
589	C₂×C₄×D₁₃	—	2	1	no	—
590	C₂×C₄×D₁₃	—	4	1	no	—
591	C₂×C₄×D₁₃	—	4	1	no	—
592	C₂×C₄×D₁₃	—	4	1	no	—
593	C₂×C₄×D₁₃	—	4	1	no	—
594	C₂×C₄×D₁₃	—	4	4	no	—
595	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	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	—	2	1	no	—
608	C₂×Dic₂₆	—	2	1	no	—
609	C₂×Dic₂₆	—	2	1	no	—
610	C₂×Dic₂₆	—	2	1	no	—
611	C₂×Dic₂₆	—	2	1	no	—
612	C₂×Dic₂₆	—	4	1	no	—
613	C₂×Dic₂₆	—	4	1	no	—
614	C₂×Dic₂₆	—	4	4	no	—
615	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
616	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
617	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
618	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
619	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
620	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
621	C₁₃×Q₁₆	—	4	1	no	—
622	C₁₃×Q₁₆	—	4	1	no	—
623	C₁₃×Q₁₆	—	4	1	no	—
624	C₁₃×Q₁₆	—	4	1	no	—
625	C₁₃×M₁₆	—	4	1	no	—
626	C₂×C₈×C₁₃	—	4	1	no	—
627	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
628	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
629	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
630	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
631	C₁₃×C₄⋊C₄	—	2	1	no	—
632	C₁₃×C₄⋊C₄	—	2	1	no	—
633	C₁₃×C₄⋊C₄	—	2	1	no	—
634	C₁₃×C₄⋊C₄	—	2	1	no	—
635	C₁₃×C₄⋊C₄	—	2	1	no	—
636	C₁₃×C₄⋊C₄	—	2	1	no	—
637	C₁₃×C₄⋊C₄	—	2	1	no	—
638	C₁₃×C₄⋊C₄	—	2	1	no	—
639	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₄²×C₁₃	—	2	1	no	—
654	C₄²×C₁₃	—	2	1	no	—
655	C₂²⋊Dic₁₃	—	2	1	no	—
656	C₂²⋊Dic₁₃	—	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	#6107	—	4	1	no	—
663	#6107	—	4	1	no	—
664	#6107	—	4	1	no	—
665	#6107	—	4	1	no	—
666	#6107	—	4	1	no	—
667	#6107	—	4	1	no	—
668	#6106	—	4	1	no	—
669	#6106	—	4	1	no	—
670	#6103	—	2	1	no	—
671	#6103	—	2	1	no	—
672	#6103	—	2	1	no	—
673	#6103	—	2	1	no	—
674	#6103	—	2	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	1	no	—
677	#6103	—	2	1	no	—
678	#6103	—	2	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	—	2	1	no	—
684	#6103	—	2	1	no	—
685	#6103	—	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	C₄⋊Dic₁₃	—	2	1	no	—
693	C₄⋊Dic₁₃	—	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	C₂⁴	1	1	yes	characteristic
700	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
701	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
702	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	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	C₂×#1055	—	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	C₂×#536	—	13	1	no	—
746	#3202	—	13	1	no	—
747	#3202	—	13	1	no	—
748	#3202	—	13	1	no	—
749	#3202	D₁₃	1	1	yes	characteristic, complemented
750	#3201	—	13	1	no	—
751	#3201	—	13	1	no	—
752	#3201	—	13	1	no	—
753	#3201	—	13	1	no	—
754	#3196	—	13	1	no	—
755	#3196	—	13	1	no	—
756	#3195	—	13	1	no	—
757	#3195	—	13	1	no	—
758	#3190	—	13	1	no	—
759	#3190	—	13	1	no	—
760	#3189	—	13	1	no	—
761	#3189	—	13	1	no	—
762	#3097	—	13	1	no	—
763	#3097	—	13	1	no	—
764	#3095	—	13	1	no	—
765	#3091	—	13	1	no	—
766	#3063	—	13	1	no	—
767	#3063	—	13	1	no	—
768	#3059	—	13	1	no	—
769	#3059	—	13	1	no	—
770	#3011	—	13	1	no	—
771	#3011	—	13	1	no	—
772	#3004	—	13	1	no	—
773	C₂×#451	—	13	1	no	—
774	#2880	—	13	1	no	—
775	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
776	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
777	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂²×D₁₃	—	2	2	no	—
779	C₂²×D₁₃	—	2	2	no	—
780	C₂²×D₁₃	—	2	2	no	—
781	C₂²×D₁₃	—	2	2	no	—
782	C₂²×D₁₃	—	2	1	no	—
783	C₂²×D₁₃	—	4	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	C₂²×D₄	1	1	yes	characteristic
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	Q₈×C₁₃	—	2	1	no	—
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	—	2	1	no	—
800	Q₈×C₁₃	—	4	1	no	—
801	Q₈×C₁₃	—	4	2	no	—
802	Q₈×C₁₃	—	4	2	no	—
803	D₄×C₁₃	—	4	1	no	—
804	D₄×C₁₃	—	4	1	no	—
805	D₄×C₁₃	—	4	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	—	2	1	no	—
819	C₂×C₄×C₁₃	—	2	1	no	—
820	C₂×C₄×C₁₃	—	4	2	no	—
821	C₂×C₄×C₁₃	—	4	2	no	—
822	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
826	C₂²⋊D₁₃	—	2	2	no	—
827	C₂²⋊D₁₃	—	2	2	no	—
828	C₂²⋊D₁₃	—	2	2	no	—
829	C₂²⋊D₁₃	—	2	2	no	—
830	C₂²⋊D₁₃	—	4	1	no	—
831	C₂²⋊D₁₃	—	4	1	no	—
832	C₂²⋊D₁₃	—	4	2	no	—
833	C₂²⋊D₁₃	—	8	1	no	—
834	C₂²⋊D₁₃	—	8	1	no	—
835	C₂×Dic₁₃	—	2	2	no	—
836	C₂×Dic₁₃	—	2	1	no	—
837	C₂×Dic₁₃	—	2	1	no	—
838	C₂×Dic₁₃	—	2	1	no	—
839	C₂×Dic₁₃	—	2	1	no	—
840	C₂×Dic₁₃	—	2	1	no	—
841	C₂×Dic₁₃	—	2	1	no	—
842	C₂×Dic₁₃	—	2	1	no	—
843	C₂×Dic₁₃	—	4	1	no	—
844	C₂×Dic₁₃	—	4	1	no	—
845	C₂×Dic₁₃	—	4	2	no	—
846	C₂×Dic₁₃	—	8	1	no	—
847	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
848	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
849	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
850	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
851	D₅₂	—	2	2	no	—
852	D₅₂	—	2	2	no	—
853	D₅₂	—	2	1	no	—
854	D₅₂	—	2	1	no	—
855	D₅₂	—	4	1	no	—
856	D₅₂	—	4	2	no	—
857	D₅₂	—	4	2	no	—
858	D₅₂	—	4	2	no	—
859	D₅₂	—	8	1	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	1	no	—
866	C₄×D₁₃	—	2	1	no	—
867	C₄×D₁₃	—	2	2	no	—
868	C₄×D₁₃	—	4	1	no	—
869	C₄×D₁₃	—	4	1	no	—
870	C₄×D₁₃	—	4	1	no	—
871	C₄×D₁₃	—	4	1	no	—
872	C₄×D₁₃	—	4	2	no	—
873	C₄×D₁₃	—	4	2	no	—
874	C₄×D₁₃	—	4	2	no	—
875	C₄×D₁₃	—	4	2	no	—
876	C₄×D₁₃	—	4	2	no	—
877	C₄×D₁₃	—	4	2	no	—
878	C₄×D₁₃	—	4	2	no	—
879	C₄×D₁₃	—	4	2	no	—
880	C₄×D₁₃	—	4	2	no	—
881	C₄×D₁₃	—	4	2	no	—
882	C₄×D₁₃	—	4	2	no	—
883	C₄×D₁₃	—	8	1	no	—
884	C₄×D₁₃	—	8	1	no	—
885	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
886	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
887	Dic₂₆	—	2	2	no	—
888	Dic₂₆	—	2	2	no	—
889	Dic₂₆	—	2	1	no	—
890	Dic₂₆	—	2	1	no	—
891	Dic₂₆	—	2	1	no	—
892	Dic₂₆	—	2	1	no	—
893	Dic₂₆	—	2	1	no	—
894	Dic₂₆	—	2	1	no	—
895	Dic₂₆	—	4	1	no	—
896	Dic₂₆	—	4	2	no	—
897	Dic₂₆	—	4	2	no	—
898	Dic₂₆	—	4	2	no	—
899	Dic₂₆	—	4	2	no	—
900	Dic₂₆	—	4	2	no	—
901	Dic₂₆	—	4	2	no	—
902	Dic₂₆	—	4	2	no	—
903	C₈×C₁₃	—	2	1	no	—
904	C₈×C₁₃	—	2	1	no	—
905	C₈×C₁₃	—	2	1	no	—
906	C₈×C₁₃	—	2	1	no	—
907	#1055	—	2	1	no	—
908	#1055	—	2	1	no	—
909	#1055	—	2	1	no	—
910	#1055	—	2	1	no	—
911	C₂×2₋¹⁺⁴	—	13	1	no	—
912	C₂²×#41	—	13	1	no	—
913	C₂³×Q₈	—	13	1	no	—
914	C₂×#137	—	13	1	no	—
915	C₂×#137	—	13	1	no	—
916	C₂²×Q₁₆	—	13	1	no	—
917	C₂²×Q₁₆	—	13	1	no	—
918	C₂×#131	—	13	1	no	—
919	C₂×#131	—	13	1	no	—
920	D₄×Q₈	—	26	1	no	—
921	#548	—	26	1	no	—
922	#547	—	26	1	no	—
923	#547	—	26	1	no	—
924	#547	—	26	1	no	—
925	#546	—	26	1	no	—
926	#546	—	26	1	no	—
927	#546	—	26	1	no	—
928	#537	—	13	1	no	—
929	#537	—	13	1	no	—
930	#537	—	13	1	no	—
931	#536	—	13	1	no	—
932	#536	—	13	1	no	—
933	#536	—	13	1	no	—
934	#536	—	13	1	no	—
935	#536	—	13	1	no	—
936	#536	—	13	1	no	—
937	#536	—	13	1	no	—
938	#536	—	13	1	no	—
939	#536	—	13	1	no	—
940	#536	—	26	1	no	—
941	#536	—	26	1	no	—
942	#536	—	26	1	no	—
943	#536	—	26	1	no	—
944	#536	C₂×D₁₃	1	1	yes	characteristic
945	#536	C₂×D₁₃	1	1	yes	characteristic
946	C₂×C₄⋊Q₈	—	26	1	no	—
947	C₂×#124	—	26	1	no	—
948	#525	—	13	1	no	—
949	#525	—	13	1	no	—
950	#525	—	13	1	no	—
951	C₂×#123	—	26	1	no	—
952	C₂×#123	—	26	1	no	—
953	C₂×C₂²⋊Q₈	—	13	1	no	—
954	C₂×C₂²⋊Q₈	—	13	1	no	—
955	C₂×C₂²⋊Q₈	—	13	1	no	—
956	C₂×C₂²⋊Q₈	—	13	1	no	—
957	C₂×C₂²⋊Q₈	—	13	1	no	—
958	C₂×C₂²⋊Q₈	—	13	1	no	—
959	C₂×C₂²⋊Q₈	—	13	1	no	—
960	#520	—	13	1	no	—
961	C₂×#117	—	13	1	no	—
962	#485	—	13	1	no	—
963	#485	—	13	1	no	—
964	#485	—	13	1	no	—
965	#485	—	13	1	no	—
966	#485	—	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	C₂×D₁₃	1	1	yes	characteristic, complemented
973	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
974	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
975	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
976	#484	—	13	1	no	—
977	#484	—	13	1	no	—
978	#484	—	13	1	no	—
979	#484	—	13	1	no	—
980	#484	—	13	1	no	—
981	#484	—	13	1	no	—
982	#484	—	13	1	no	—
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	#482	—	13	1	no	—
991	#482	—	13	1	no	—
992	#481	—	13	1	no	—
993	#480	—	13	1	no	—
994	#470	—	13	1	no	—
995	#470	—	13	1	no	—
996	#470	—	13	1	no	—
997	#470	—	13	1	no	—
998	#470	—	13	1	no	—
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	C₂×D₁₃	1	1	yes	characteristic, complemented
1005	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
1006	#468	—	13	1	no	—
1007	#468	—	13	1	no	—
1008	#468	—	13	1	no	—
1009	#468	—	13	1	no	—
1010	#467	—	13	1	no	—
1011	#467	—	13	1	no	—
1012	#467	—	13	1	no	—
1013	#467	—	13	1	no	—
1014	#467	—	13	1	no	—
1015	#467	—	13	1	no	—
1016	#467	—	13	1	no	—
1017	#467	—	13	1	no	—
1018	#467	—	13	1	no	—
1019	#467	—	13	1	no	—
1020	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
1021	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
1022	#465	—	13	1	no	—
1023	#465	—	13	1	no	—
1024	#465	—	13	1	no	—
1025	#465	—	13	1	no	—
1026	#452	—	13	1	no	—
1027	#452	—	13	1	no	—
1028	#452	—	13	1	no	—
1029	#452	—	13	1	no	—
1030	#452	—	13	1	no	—
1031	#452	—	13	1	no	—
1032	#452	—	13	1	no	—
1033	#452	—	13	1	no	—
1034	#451	—	13	1	no	—
1035	#451	—	13	1	no	—
1036	#451	—	13	1	no	—
1037	#451	—	13	1	no	—
1038	#451	—	13	1	no	—
1039	#451	—	13	1	no	—
1040	#451	—	13	1	no	—
1041	#451	—	13	1	no	—
1042	#451	—	13	1	no	—
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	C₂×D₁₃	1	1	yes	characteristic, complemented
1051	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1052	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1053	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1054	#448	—	13	1	no	—
1055	#448	—	13	1	no	—
1056	#448	—	13	1	no	—
1057	#448	—	13	1	no	—
1058	#428	—	13	1	no	—
1059	#428	—	13	1	no	—
1060	#427	—	13	1	no	—
1061	#427	—	13	1	no	—
1062	#419	—	13	1	no	—
1063	#419	—	13	1	no	—
1064	#419	—	13	1	no	—
1065	#419	—	13	1	no	—
1066	#416	—	13	1	no	—
1067	#416	—	13	1	no	—
1068	C₂×#103	—	13	1	no	—
1069	C₂×#103	—	13	1	no	—
1070	#408	—	13	1	no	—
1071	#408	—	13	1	no	—
1072	#408	—	13	1	no	—
1073	#408	—	13	1	no	—
1074	#408	—	13	1	no	—
1075	#408	C₂×D₁₃	1	1	yes	characteristic
1076	#407	—	13	1	no	—
1077	#407	—	13	1	no	—
1078	#407	—	13	1	no	—
1079	C₂×C₂²⋊C₈	—	13	1	no	—
1080	C₂×C₂²⋊C₈	—	13	1	no	—
1081	C₂×C₂²⋊C₈	—	13	1	no	—
1082	C₂²×C₁₃	—	2	1	no	—
1083	C₂²×C₁₃	—	2	1	no	—
1084	C₂²×C₁₃	—	2	1	no	—
1085	C₂²×C₁₃	—	2	1	no	—
1086	C₂²×C₁₃	—	2	1	no	—
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	C₂³×D₄	1	1	yes	characteristic
1092	C₂×D₁₃	—	2	1	no	—
1093	C₂×D₁₃	—	2	1	no	—
1094	C₂×D₁₃	—	2	1	no	—
1095	C₂×D₁₃	—	2	1	no	—
1096	C₂×D₁₃	—	2	1	no	—
1097	C₂×D₁₃	—	2	1	no	—
1098	C₂×D₁₃	—	2	1	no	—
1099	C₂×D₁₃	—	2	1	no	—
1100	C₂×D₁₃	—	2	1	no	—
1101	C₂×D₁₃	—	2	1	no	—
1102	C₂×D₁₃	—	4	4	no	—
1103	C₂×D₁₃	—	4	1	no	—
1104	C₂×D₁₃	—	4	1	no	—
1105	C₂×D₁₃	—	4	1	no	—
1106	C₂×D₁₃	—	8	2	no	—
1107	C₂×D₁₃	—	8	2	no	—
1108	C₂×D₁₃	#534	1	2	yes	—
1109	C₂×D₁₃	#578	1	2	yes	—
1110	C₄×C₁₃	—	2	1	no	—
1111	C₄×C₁₃	—	2	1	no	—
1112	C₄×C₁₃	—	2	1	no	—
1113	C₄×C₁₃	—	4	1	no	—
1114	C₄×C₁₃	—	4	1	no	—
1115	C₄×C₁₃	—	4	1	no	—
1116	C₄×C₁₃	—	4	1	no	—
1117	C₄×C₁₃	—	4	1	no	—
1118	C₄×C₁₃	—	4	1	no	—
1119	C₄×C₁₃	—	4	1	no	—
1120	C₄×C₁₃	—	4	1	no	—
1121	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1122	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1123	Dic₁₃	—	2	1	no	—
1124	Dic₁₃	—	2	1	no	—
1125	Dic₁₃	—	2	1	no	—
1126	Dic₁₃	—	4	1	no	—
1127	Dic₁₃	—	4	1	no	—
1128	Dic₁₃	—	4	1	no	—
1129	Dic₁₃	—	4	1	no	—
1130	Dic₁₃	—	4	1	no	—
1131	Dic₁₃	—	4	1	no	—
1132	Dic₁₃	—	4	1	no	—
1133	Dic₁₃	#534	1	2	yes	—
1134	2₋¹⁺⁴	—	52	2	no	—
1135	2₋¹⁺⁴	—	52	2	no	—
1136	C₂×#41	—	13	1	no	—
1137	C₂×#41	—	13	1	no	—
1138	C₂×#41	—	13	1	no	—
1139	C₂×#41	—	13	1	no	—
1140	C₂×#41	—	13	1	no	—
1141	C₂×#41	—	13	1	no	—
1142	C₂×#41	—	13	1	no	—
1143	C₂×#41	—	13	1	no	—
1144	C₂×#41	—	13	1	no	—
1145	C₂×#41	—	13	1	no	—
1146	C₂×#41	—	26	1	no	—
1147	C₂×#41	—	26	1	no	—
1148	C₂×#41	—	26	1	no	—
1149	C₂×#41	—	52	2	no	—
1150	C₂×#41	—	52	2	no	—
1151	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1152	C₂²×Q₈	—	13	1	no	—
1153	C₂²×Q₈	—	13	1	no	—
1154	C₂²×Q₈	—	13	1	no	—
1155	C₂²×Q₈	—	13	1	no	—
1156	C₂²×Q₈	—	13	1	no	—
1157	C₂²×Q₈	—	13	1	no	—
1158	C₂²×Q₈	—	13	1	no	—
1159	C₂²×Q₈	—	13	1	no	—
1160	C₂²×Q₈	—	26	1	no	—
1161	C₂²×Q₈	—	26	1	no	—
1162	C₂²×Q₈	—	26	1	no	—
1163	C₂²×Q₈	—	26	1	no	—
1164	C₂²×Q₈	—	52	2	no	—
1165	C₂²×Q₈	—	52	2	no	—
1166	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1167	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1168	C₂²×D₄	—	13	1	no	—
1169	C₂²×D₄	—	13	1	no	—
1170	C₂²×D₄	—	13	1	no	—
1171	C₂³×C₄	—	13	1	no	—
1172	C₂³×C₄	—	13	1	no	—
1173	C₂³×C₄	—	13	1	no	—
1174	C₂³×C₄	—	26	1	no	—
1175	#137	—	52	2	no	—
1176	#137	—	52	2	no	—
1177	C₂×Q₁₆	—	13	1	no	—
1178	C₂×Q₁₆	—	13	1	no	—
1179	C₂×Q₁₆	—	13	1	no	—
1180	C₂×Q₁₆	—	13	1	no	—
1181	C₂×Q₁₆	—	13	1	no	—
1182	C₂×Q₁₆	—	13	1	no	—
1183	C₂×Q₁₆	—	13	1	no	—
1184	C₂×Q₁₆	—	13	1	no	—
1185	C₂×Q₁₆	—	52	2	no	—
1186	C₂×Q₁₆	—	52	2	no	—
1187	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1188	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1189	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1190	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1191	C₂×SD₁₆	—	13	1	no	—
1192	C₂×SD₁₆	—	13	1	no	—
1193	C₂×SD₁₆	—	13	1	no	—
1194	C₂×SD₁₆	—	13	1	no	—
1195	#131	—	52	2	no	—
1196	#131	—	52	2	no	—
1197	C₂×M₁₆	—	13	1	no	—
1198	C₂×M₁₆	—	13	1	no	—
1199	C₂×M₁₆	—	13	1	no	—
1200	C₂×M₁₆	—	13	1	no	—
1201	C₂×M₁₆	—	13	1	no	—
1202	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1203	C₂²×C₈	—	13	1	no	—
1204	C₂²×C₈	—	13	1	no	—
1205	C₂²×C₈	—	13	1	no	—
1206	C₂²×C₈	—	13	1	no	—
1207	C₂²×C₈	—	13	1	no	—
1208	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1209	C₄⋊Q₈	—	2	1	no	—
1210	C₄⋊Q₈	—	2	1	no	—
1211	C₄⋊Q₈	—	26	1	no	—
1212	C₄⋊Q₈	—	26	1	no	—
1213	C₄⋊Q₈	—	26	1	no	—
1214	C₄⋊Q₈	—	26	1	no	—
1215	C₄⋊Q₈	—	26	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	#124	—	2	1	no	—
1221	#124	—	2	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	#124	—	26	1	no	—
1229	#124	—	26	1	no	—
1230	#124	—	26	1	no	—
1231	#123	—	2	1	no	—
1232	#123	—	2	1	no	—
1233	#123	—	2	1	no	—
1234	#123	—	2	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	#123	—	26	1	no	—
1247	#123	—	26	1	no	—
1248	#123	—	26	1	no	—
1249	#123	—	26	1	no	—
1250	#123	—	26	1	no	—
1251	#123	—	26	1	no	—
1252	#123	—	26	1	no	—
1253	#123	—	26	1	no	—
1254	#123	—	26	1	no	—
1255	#123	—	26	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	—	13	1	no	—
1267	C₂²⋊Q₈	—	13	1	no	—
1268	C₂²⋊Q₈	—	13	1	no	—
1269	C₂²⋊Q₈	—	13	1	no	—
1270	C₂²⋊Q₈	—	13	1	no	—
1271	C₂²⋊Q₈	—	13	1	no	—
1272	C₂²⋊Q₈	—	13	1	no	—
1273	C₂²⋊Q₈	—	13	1	no	—
1274	C₂²⋊Q₈	—	13	1	no	—
1275	C₂²⋊Q₈	—	13	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	—	26	1	no	—
1283	C₂²⋊Q₈	—	26	1	no	—
1284	C₂²⋊Q₈	—	26	1	no	—
1285	C₂²⋊Q₈	—	26	1	no	—
1286	C₂²⋊Q₈	—	26	1	no	—
1287	C₂²⋊Q₈	—	26	1	no	—
1288	C₂²⋊Q₈	—	26	1	no	—
1289	C₂²⋊Q₈	—	26	1	no	—
1290	C₂²⋊Q₈	—	26	1	no	—
1291	C₂²⋊Q₈	—	26	1	no	—
1292	C₂²⋊Q₈	—	26	1	no	—
1293	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1294	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1295	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1296	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1297	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1298	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1299	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1300	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1301	#121	—	13	1	no	—
1302	#121	—	13	1	no	—
1303	#121	—	13	1	no	—
1304	#121	—	13	1	no	—
1305	#121	—	26	1	no	—
1306	#121	—	26	1	no	—
1307	#121	—	26	1	no	—
1308	#121	—	26	1	no	—
1309	#121	—	26	1	no	—
1310	#121	—	26	1	no	—
1311	#121	—	26	1	no	—
1312	#121	—	26	1	no	—
1313	#121	—	26	1	no	—
1314	#120	—	26	1	no	—
1315	#120	—	26	1	no	—
1316	#120	—	26	1	no	—
1317	C₄×Q₈	—	26	1	no	—
1318	C₄×D₄	—	26	1	no	—
1319	C₄×D₄	—	26	1	no	—
1320	C₄×D₄	—	26	1	no	—
1321	C₄×D₄	—	26	1	no	—
1322	C₄×D₄	—	26	1	no	—
1323	C₄×D₄	—	26	1	no	—
1324	C₄×D₄	—	26	1	no	—
1325	C₄×D₄	—	26	1	no	—
1326	C₄×D₄	—	26	1	no	—
1327	#117	—	13	1	no	—
1328	#117	—	13	1	no	—
1329	#117	—	13	1	no	—
1330	#117	—	13	1	no	—
1331	#117	—	13	1	no	—
1332	#117	—	26	1	no	—
1333	#117	—	26	1	no	—
1334	#117	C₂²×D₁₃	1	1	yes	characteristic
1335	#117	C₂²×D₁₃	1	1	yes	characteristic
1336	C₂×C₄⋊C₄	—	13	1	no	—
1337	C₂×C₄⋊C₄	—	13	1	no	—
1338	C₂×C₄⋊C₄	—	13	1	no	—
1339	C₂×C₄⋊C₄	—	13	1	no	—
1340	C₂×C₄⋊C₄	—	13	1	no	—
1341	C₂×C₄⋊C₄	—	26	1	no	—
1342	C₂×C₄⋊C₄	—	26	1	no	—
1343	C₂×C₄⋊C₄	—	26	1	no	—
1344	C₂×C₄⋊C₄	—	26	1	no	—
1345	C₂×C₄⋊C₄	—	26	1	no	—
1346	C₂×C₄⋊C₄	—	26	1	no	—
1347	C₂×C₄⋊C₄	—	26	1	no	—
1348	C₂×C₂²⋊C₄	—	26	1	no	—
1349	C₂×C₂²⋊C₄	—	26	1	no	—
1350	C₂×C₂²⋊C₄	—	26	1	no	—
1351	C₂×C₂²⋊C₄	—	26	1	no	—
1352	C₂×C₂²⋊C₄	—	26	1	no	—
1353	C₂×C₂²⋊C₄	—	26	1	no	—
1354	C₂×C₂²⋊C₄	—	26	1	no	—
1355	C₂×C₂²⋊C₄	—	26	1	no	—
1356	C₂×C₄²	—	26	1	no	—
1357	#107	—	13	1	no	—
1358	#107	—	13	1	no	—
1359	#107	—	13	1	no	—
1360	#107	—	13	1	no	—
1361	#107	—	13	1	no	—
1362	#107	—	13	1	no	—
1363	#107	C₂²×D₁₃	1	1	yes	characteristic
1364	#107	C₂²×D₁₃	1	1	yes	characteristic
1365	#106	—	13	1	no	—
1366	#106	—	13	1	no	—
1367	#106	—	13	1	no	—
1368	#106	—	13	1	no	—
1369	#106	—	13	1	no	—
1370	#106	—	13	1	no	—
1371	#106	C₂²×D₁₃	1	1	yes	characteristic
1372	#106	C₂²×D₁₃	1	1	yes	characteristic
1373	#103	—	13	1	no	—
1374	#103	—	13	1	no	—
1375	#103	—	13	1	no	—
1376	#103	—	13	1	no	—
1377	#103	—	13	1	no	—
1378	#103	—	13	1	no	—
1379	#103	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1394	#103	C₂²×D₁₃	1	1	yes	characteristic
1395	#103	C₂²×D₁₃	1	1	yes	characteristic
1396	#103	C₂²×D₁₃	1	1	yes	characteristic
1397	#103	C₂²×D₁₃	1	1	yes	characteristic
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	#102	—	13	1	no	—
1402	#102	—	13	1	no	—
1403	#102	—	13	1	no	—
1404	#102	—	13	1	no	—
1405	C₂²⋊C₈	—	13	1	no	—
1406	C₂²⋊C₈	—	13	1	no	—
1407	C₂²⋊C₈	—	13	1	no	—
1408	C₂²⋊C₈	—	13	1	no	—
1409	C₂²⋊C₈	—	13	1	no	—
1410	C₂²⋊C₈	—	13	1	no	—
1411	C₂²⋊C₈	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1418	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1419	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1420	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1421	C₂×C₁₃	—	4	1	no	—
1422	C₂×C₁₃	—	4	1	no	—
1423	C₂×C₁₃	—	4	1	no	—
1424	C₂×C₁₃	C₂×#534	1	1	yes	characteristic
1425	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
1426	C₂×C₁₃	#3586	1	1	yes	characteristic
1427	D₁₃	—	2	2	no	—
1428	D₁₃	—	2	2	no	—
1429	D₁₃	—	4	1	no	—
1430	D₁₃	—	4	1	no	—
1431	D₁₃	—	8	1	no	—
1432	C₂⁴	—	13	1	no	—
1433	C₂⁴	—	13	1	no	—
1434	C₂⁴	—	13	1	no	—
1435	#41	—	4	1	no	—
1436	#41	—	4	1	no	—
1437	#41	—	26	2	no	—
1438	#41	—	26	2	no	—
1439	#41	—	26	2	no	—
1440	#41	—	26	2	no	—
1441	#41	—	26	2	no	—
1442	#41	—	26	2	no	—
1443	#41	—	52	1	no	—
1444	#41	—	52	1	no	—
1445	#41	—	52	1	no	—
1446	#41	—	52	1	no	—
1447	#41	—	52	4	no	—
1448	#41	—	52	4	no	—
1449	#41	—	52	2	no	—
1450	#41	—	52	2	no	—
1451	#41	—	52	2	no	—
1452	#41	—	52	2	no	—
1453	#41	—	52	1	no	—
1454	#41	—	52	1	no	—
1455	#41	—	52	4	no	—
1456	C₂×Q₈	—	2	1	no	—
1457	C₂×Q₈	—	2	1	no	—
1458	C₂×Q₈	—	4	1	no	—
1459	C₂×Q₈	—	4	1	no	—
1460	C₂×Q₈	—	4	1	no	—
1461	C₂×Q₈	—	4	1	no	—
1462	C₂×Q₈	—	13	1	no	—
1463	C₂×Q₈	—	13	1	no	—
1464	C₂×Q₈	—	13	1	no	—
1465	C₂×Q₈	—	13	1	no	—
1466	C₂×Q₈	—	13	1	no	—
1467	C₂×Q₈	—	13	1	no	—
1468	C₂×Q₈	—	26	1	no	—
1469	C₂×Q₈	—	26	1	no	—
1470	C₂×Q₈	—	26	1	no	—
1471	C₂×Q₈	—	26	1	no	—
1472	C₂×Q₈	—	26	1	no	—
1473	C₂×Q₈	—	26	1	no	—
1474	C₂×Q₈	—	26	2	no	—
1475	C₂×Q₈	—	26	2	no	—
1476	C₂×Q₈	—	26	2	no	—
1477	C₂×Q₈	—	26	2	no	—
1478	C₂×Q₈	—	26	2	no	—
1479	C₂×Q₈	—	26	2	no	—
1480	C₂×Q₈	—	26	1	no	—
1481	C₂×Q₈	—	52	1	no	—
1482	C₂×Q₈	—	52	1	no	—
1483	C₂×Q₈	—	52	4	no	—
1484	C₂×Q₈	—	52	1	no	—
1485	C₂×Q₈	—	52	1	no	—
1486	C₂×Q₈	—	52	1	no	—
1487	C₂×Q₈	—	52	1	no	—
1488	C₂×Q₈	—	52	1	no	—
1489	C₂×Q₈	—	52	1	no	—
1490	C₂×Q₈	—	52	2	no	—
1491	C₂×Q₈	—	52	4	no	—
1492	C₂×Q₈	—	52	4	no	—
1493	C₂×Q₈	—	52	4	no	—
1494	C₂×Q₈	D₄×D₁₃	1	1	yes	characteristic
1495	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1496	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1497	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1498	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1499	C₂×D₄	—	13	1	no	—
1500	C₂×D₄	—	13	1	no	—
1501	C₂×D₄	—	13	1	no	—
1502	C₂×D₄	—	13	1	no	—
1503	C₂×D₄	—	13	1	no	—
1504	C₂×D₄	—	13	1	no	—
1505	C₂×D₄	—	13	1	no	—
1506	C₂×D₄	—	13	1	no	—
1507	C₂×D₄	—	13	1	no	—
1508	C₂×D₄	—	13	1	no	—
1509	C₂×D₄	—	26	1	no	—
1510	C₂×D₄	—	26	1	no	—
1511	C₂×D₄	—	26	1	no	—
1512	C₂×D₄	—	26	1	no	—
1513	C₂×D₄	—	26	1	no	—
1514	C₂×D₄	—	26	1	no	—
1515	C₂×D₄	—	26	1	no	—
1516	C₂×D₄	—	52	2	no	—
1517	C₂×D₄	—	52	2	no	—
1518	C₂×D₄	—	52	2	no	—
1519	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1520	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1521	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1522	C₂²×C₄	—	2	1	no	—
1523	C₂²×C₄	—	2	1	no	—
1524	C₂²×C₄	—	13	1	no	—
1525	C₂²×C₄	—	13	1	no	—
1526	C₂²×C₄	—	13	1	no	—
1527	C₂²×C₄	—	13	1	no	—
1528	C₂²×C₄	—	13	1	no	—
1529	C₂²×C₄	—	13	1	no	—
1530	C₂²×C₄	—	13	1	no	—
1531	C₂²×C₄	—	13	1	no	—
1532	C₂²×C₄	—	13	1	no	—
1533	C₂²×C₄	—	13	1	no	—
1534	C₂²×C₄	—	13	1	no	—
1535	C₂²×C₄	—	13	1	no	—
1536	C₂²×C₄	—	13	1	no	—
1537	C₂²×C₄	—	26	2	no	—
1538	C₂²×C₄	—	26	2	no	—
1539	C₂²×C₄	—	26	1	no	—
1540	C₂²×C₄	—	26	1	no	—
1541	C₂²×C₄	—	26	1	no	—
1542	C₂²×C₄	—	26	1	no	—
1543	C₂²×C₄	—	26	1	no	—
1544	C₂²×C₄	—	26	1	no	—
1545	C₂²×C₄	—	26	1	no	—
1546	C₂²×C₄	—	26	1	no	—
1547	C₂²×C₄	—	26	1	no	—
1548	C₂²×C₄	—	26	1	no	—
1549	C₂²×C₄	—	26	1	no	—
1550	C₂²×C₄	—	26	1	no	—
1551	C₂²×C₄	—	26	1	no	—
1552	C₂²×C₄	—	26	1	no	—
1553	C₂²×C₄	—	26	1	no	—
1554	C₂²×C₄	—	52	1	no	—
1555	C₂²×C₄	—	52	1	no	—
1556	C₂²×C₄	—	52	1	no	—
1557	C₂²×C₄	—	52	1	no	—
1558	C₂²×C₄	—	52	4	no	—
1559	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1560	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1561	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1562	Q₁₆	—	4	1	no	—
1563	Q₁₆	—	4	1	no	—
1564	Q₁₆	—	4	1	no	—
1565	Q₁₆	—	4	1	no	—
1566	Q₁₆	—	52	1	no	—
1567	Q₁₆	—	52	1	no	—
1568	Q₁₆	—	52	1	no	—
1569	Q₁₆	—	52	1	no	—
1570	Q₁₆	—	52	1	no	—
1571	Q₁₆	—	52	1	no	—
1572	Q₁₆	—	52	1	no	—
1573	Q₁₆	—	52	1	no	—
1574	SD₁₆	—	52	1	no	—
1575	SD₁₆	—	52	1	no	—
1576	SD₁₆	—	52	1	no	—
1577	SD₁₆	—	52	1	no	—
1578	M₁₆	—	4	1	no	—
1579	M₁₆	—	26	2	no	—
1580	M₁₆	—	26	2	no	—
1581	M₁₆	—	52	1	no	—
1582	M₁₆	—	52	1	no	—
1583	M₁₆	—	52	1	no	—
1584	C₂×C₈	—	4	1	no	—
1585	C₂×C₈	—	13	1	no	—
1586	C₂×C₈	—	13	1	no	—
1587	C₂×C₈	—	13	1	no	—
1588	C₂×C₈	—	13	1	no	—
1589	C₂×C₈	—	26	2	no	—
1590	C₂×C₈	—	26	2	no	—
1591	C₂×C₈	—	52	1	no	—
1592	C₂×C₈	—	52	1	no	—
1593	C₂×C₈	—	52	1	no	—
1594	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1595	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1596	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1597	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1598	C₄⋊C₄	—	2	1	no	—
1599	C₄⋊C₄	—	2	1	no	—
1600	C₄⋊C₄	—	2	1	no	—
1601	C₄⋊C₄	—	2	1	no	—
1602	C₄⋊C₄	—	2	1	no	—
1603	C₄⋊C₄	—	2	1	no	—
1604	C₄⋊C₄	—	2	1	no	—
1605	C₄⋊C₄	—	2	1	no	—
1606	C₄⋊C₄	—	13	1	no	—
1607	C₄⋊C₄	—	13	1	no	—
1608	C₄⋊C₄	—	13	1	no	—
1609	C₄⋊C₄	—	13	1	no	—
1610	C₄⋊C₄	—	26	1	no	—
1611	C₄⋊C₄	—	26	1	no	—
1612	C₄⋊C₄	—	26	1	no	—
1613	C₄⋊C₄	—	26	1	no	—
1614	C₄⋊C₄	—	26	1	no	—
1615	C₄⋊C₄	—	26	1	no	—
1616	C₄⋊C₄	—	26	1	no	—
1617	C₄⋊C₄	—	26	1	no	—
1618	C₄⋊C₄	—	26	1	no	—
1619	C₄⋊C₄	—	26	1	no	—
1620	C₄⋊C₄	—	26	1	no	—
1621	C₄⋊C₄	—	26	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	C₂³×D₁₃	1	1	yes	characteristic
1636	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1637	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1638	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	2	1	no	—
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	26	1	no	—
1650	C₂²⋊C₄	—	26	1	no	—
1651	C₂²⋊C₄	—	26	1	no	—
1652	C₂²⋊C₄	—	26	1	no	—
1653	C₂²⋊C₄	—	26	1	no	—
1654	C₂²⋊C₄	—	26	1	no	—
1655	C₂²⋊C₄	—	26	1	no	—
1656	C₂²⋊C₄	—	26	1	no	—
1657	C₂²⋊C₄	—	26	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	C₄²	—	2	1	no	—
1679	C₄²	—	2	1	no	—
1680	C₄²	—	26	1	no	—
1681	C₄²	—	26	1	no	—
1682	C₄²	—	26	1	no	—
1683	C₄²	—	26	1	no	—
1684	C₄²	—	26	1	no	—
1685	C₁₃	#60759	1	1	yes	characteristic, complemented, Sylow
1686	C₂³	—	13	1	no	—
1687	C₂³	—	13	1	no	—
1688	C₂³	—	13	1	no	—
1689	C₂³	—	13	1	no	—
1690	C₂³	—	26	2	no	—
1691	C₂³	—	26	2	no	—
1692	C₂³	—	26	2	no	—
1693	C₂³	—	26	2	no	—
1694	C₂³	—	26	1	no	—
1695	C₂³	—	52	1	no	—
1696	C₂³	—	52	1	no	—
1697	C₂³	—	52	1	no	—
1698	C₂³	—	52	1	no	—
1699	C₂³	—	52	1	no	—
1700	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1701	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1702	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1703	Q₈	—	2	1	no	—
1704	Q₈	—	2	1	no	—
1705	Q₈	—	2	1	no	—
1706	Q₈	—	2	1	no	—
1707	Q₈	—	2	1	no	—
1708	Q₈	—	2	1	no	—
1709	Q₈	—	2	1	no	—
1710	Q₈	—	2	1	no	—
1711	Q₈	—	4	1	no	—
1712	Q₈	—	4	2	no	—
1713	Q₈	—	4	2	no	—
1714	Q₈	—	26	2	no	—
1715	Q₈	—	26	2	no	—
1716	Q₈	—	26	1	no	—
1717	Q₈	—	26	1	no	—
1718	Q₈	—	26	1	no	—
1719	Q₈	—	26	1	no	—
1720	Q₈	—	26	1	no	—
1721	Q₈	—	26	1	no	—
1722	Q₈	—	52	1	no	—
1723	Q₈	—	52	2	no	—
1724	Q₈	—	52	2	no	—
1725	Q₈	—	52	2	no	—
1726	Q₈	—	52	2	no	—
1727	Q₈	—	52	2	no	—
1728	Q₈	—	52	2	no	—
1729	Q₈	—	52	2	no	—
1730	D₄	—	4	1	no	—
1731	D₄	—	4	1	no	—
1732	D₄	—	4	1	no	—
1733	D₄	—	26	2	no	—
1734	D₄	—	26	2	no	—
1735	D₄	—	26	2	no	—
1736	D₄	—	26	2	no	—
1737	D₄	—	26	2	no	—
1738	D₄	—	26	2	no	—
1739	D₄	—	26	1	no	—
1740	D₄	—	26	1	no	—
1741	D₄	—	52	1	no	—
1742	D₄	—	52	2	no	—
1743	D₄	—	52	2	no	—
1744	D₄	—	52	2	no	—
1745	D₄	—	52	1	no	—
1746	D₄	—	52	1	no	—
1747	D₄	—	52	2	no	—
1748	D₄	—	104	1	no	—
1749	D₄	—	104	1	no	—
1750	D₄	—	104	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	2	1	no	—
1763	C₂×C₄	—	2	1	no	—
1764	C₂×C₄	—	2	1	no	—
1765	C₂×C₄	—	4	2	no	—
1766	C₂×C₄	—	4	2	no	—
1767	C₂×C₄	—	13	1	no	—
1768	C₂×C₄	—	13	2	no	—
1769	C₂×C₄	—	13	2	no	—
1770	C₂×C₄	—	13	1	no	—
1771	C₂×C₄	—	13	1	no	—
1772	C₂×C₄	—	13	1	no	—
1773	C₂×C₄	—	26	2	no	—
1774	C₂×C₄	—	26	2	no	—
1775	C₂×C₄	—	26	2	no	—
1776	C₂×C₄	—	26	1	no	—
1777	C₂×C₄	—	26	1	no	—
1778	C₂×C₄	—	26	1	no	—
1779	C₂×C₄	—	26	1	no	—
1780	C₂×C₄	—	26	1	no	—
1781	C₂×C₄	—	26	1	no	—
1782	C₂×C₄	—	26	1	no	—
1783	C₂×C₄	—	26	1	no	—
1784	C₂×C₄	—	26	1	no	—
1785	C₂×C₄	—	26	1	no	—
1786	C₂×C₄	—	26	1	no	—
1787	C₂×C₄	—	26	1	no	—
1788	C₂×C₄	—	26	1	no	—
1789	C₂×C₄	—	52	1	no	—
1790	C₂×C₄	—	52	1	no	—
1791	C₂×C₄	—	52	1	no	—
1792	C₂×C₄	—	52	1	no	—
1793	C₂×C₄	—	52	2	no	—
1794	C₂×C₄	—	52	2	no	—
1795	C₂×C₄	—	52	2	no	—
1796	C₂×C₄	—	52	2	no	—
1797	C₂×C₄	—	52	2	no	—
1798	C₂×C₄	—	52	2	no	—
1799	C₂×C₄	—	52	2	no	—
1800	C₂×C₄	—	52	2	no	—
1801	C₂×C₄	—	52	2	no	—
1802	C₂×C₄	—	52	2	no	—
1803	C₂×C₄	—	52	2	no	—
1804	C₂×C₄	—	52	1	no	—
1805	C₂×C₄	—	52	1	no	—
1806	C₂×C₄	—	52	2	no	—
1807	C₂×C₄	—	104	1	no	—
1808	C₂×C₄	—	104	1	no	—
1809	C₂×C₄	—	104	1	no	—
1810	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1811	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1812	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1813	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1814	C₈	—	2	1	no	—
1815	C₈	—	2	1	no	—
1816	C₈	—	2	1	no	—
1817	C₈	—	2	1	no	—
1818	C₈	—	26	1	no	—
1819	C₈	—	26	1	no	—
1820	C₈	—	26	1	no	—
1821	C₈	—	26	1	no	—
1822	C₂²	—	2	1	no	—
1823	C₂²	—	2	1	no	—
1824	C₂²	—	2	1	no	—
1825	C₂²	—	2	1	no	—
1826	C₂²	—	2	1	no	—
1827	C₂²	—	2	1	no	—
1828	C₂²	—	2	1	no	—
1829	C₂²	—	2	1	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	13	2	no	—
1832	C₂²	—	13	2	no	—
1833	C₂²	—	26	1	no	—
1834	C₂²	—	26	1	no	—
1835	C₂²	—	26	1	no	—
1836	C₂²	—	26	1	no	—
1837	C₂²	—	26	1	no	—
1838	C₂²	—	26	1	no	—
1839	C₂²	—	26	1	no	—
1840	C₂²	—	26	1	no	—
1841	C₂²	—	26	1	no	—
1842	C₂²	—	26	1	no	—
1843	C₂²	—	52	4	no	—
1844	C₂²	—	52	1	no	—
1845	C₂²	—	52	1	no	—
1846	C₂²	—	52	1	no	—
1847	C₂²	—	104	2	no	—
1848	C₂²	—	104	2	no	—
1849	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1850	C₄	—	2	1	no	—
1851	C₄	—	2	1	no	—
1852	C₄	—	2	1	no	—
1853	C₄	—	4	1	no	—
1854	C₄	—	4	1	no	—
1855	C₄	—	4	1	no	—
1856	C₄	—	4	1	no	—
1857	C₄	—	4	1	no	—
1858	C₄	—	4	1	no	—
1859	C₄	—	4	1	no	—
1860	C₄	—	4	1	no	—
1861	C₄	—	13	2	no	—
1862	C₄	—	26	1	no	—
1863	C₄	—	26	1	no	—
1864	C₄	—	26	1	no	—
1865	C₄	—	52	1	no	—
1866	C₄	—	52	1	no	—
1867	C₄	—	52	1	no	—
1868	C₄	—	52	1	no	—
1869	C₄	—	52	1	no	—
1870	C₄	—	52	1	no	—
1871	C₄	—	52	1	no	—
1872	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1873	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1874	C₂	—	4	1	no	—
1875	C₂	—	4	1	no	—
1876	C₂	—	4	1	no	—
1877	C₂	—	26	2	no	—
1878	C₂	—	26	2	no	—
1879	C₂	—	52	1	no	—
1880	C₂	—	52	1	no	—
1881	C₂	—	104	1	no	—
1882	C₂	D₁₃×#534	1	1	yes	characteristic
1883	C₂	D₁₃×#578	1	1	yes	characteristic
1884	C₂	#13129621	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×#3202	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128514	C₂
hypercenter	#3202	D₁₃
hypocenter	C₁₃	#60759
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×#41 ◁ #3202

Complements

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

N	H ≅ G/N	type
2. D₁₃×#536	C₂	semidirect
3. #13125730	C₂	semidirect
4. #13125729	C₂	semidirect
5. #13125727	C₂	semidirect
6. #13125724	C₂	semidirect
7. #13125722	C₂	semidirect
8. #13125720	C₂	semidirect
9. #13125718	C₂	semidirect
10. #13125670	C₂	semidirect
11. #13125667	C₂	semidirect
12. #13125658	C₂	semidirect
13. #13125656	C₂	semidirect
14. #13125621	C₂	semidirect
15. #13125618	C₂	semidirect
16. #13125609	C₂	semidirect
17. #13125607	C₂	semidirect
18. #13124802	C₂	semidirect
19. #13124800	C₂	semidirect
20. #13124783	C₂	semidirect
21. #13124754	C₂	semidirect
22. #13124526	C₂	semidirect
23. #13124524	C₂	semidirect
24. #13124489	C₂	semidirect
25. #13124486	C₂	semidirect
26. #13124126	C₂	semidirect
27. #13124126	C₂	semidirect
28. #13124071	C₂	semidirect
29. D₁₃×#451	C₂	semidirect
30. #13123284	C₂	semidirect
31. C₁₃×#3202	C₂	semidirect
41. C₂×#88172	C₂²	semidirect
42. C₂×#88172	C₂²	semidirect
43. C₂×Q₁₆×D₁₃	C₂²	semidirect
44. C₂×Q₁₆×D₁₃	C₂²	semidirect
83. C₁₃×#485	C₂²	semidirect
84. C₁₃×#485	C₂²	semidirect
85. C₁₃×#485	C₂²	semidirect
86. C₁₃×#485	C₂²	semidirect
87. C₁₃×#470	C₂²	semidirect
88. C₁₃×#470	C₂²	semidirect
89. C₁₃×#467	C₂²	semidirect
90. C₁₃×#467	C₂²	semidirect
91. C₁₃×#451	C₂²	semidirect
92. C₁₃×#451	C₂²	semidirect
93. C₁₃×#451	C₂²	semidirect
94. C₁₃×#451	C₂²	semidirect
97. #11718889	C₂²	semidirect
98. #11718889	C₂²	semidirect
99. #11718889	C₂²	semidirect
100. #11718888	C₂²	semidirect
101. #11718850	C₂²	semidirect
102. #11718850	C₂²	semidirect
103. #11718849	C₂²	semidirect
104. #11718849	C₂²	semidirect
105. #11718848	C₂²	semidirect
106. #11718848	C₂²	semidirect
111. #11718847	C₂²	semidirect
112. #11718847	C₂²	semidirect
113. #11718798	C₂²	semidirect
114. #11718795	C₂²	semidirect
116. #11718777	C₂²	semidirect
117. #11718775	C₂²	semidirect
119. #11718713	C₂²	semidirect
120. #11718713	C₂²	semidirect
121. #11718713	C₂²	semidirect
122. #11718712	C₂²	semidirect
123. #11718712	C₂²	semidirect
124. #11718712	C₂²	semidirect
125. #11718711	C₂²	semidirect
126. #11718711	C₂²	semidirect
127. #11718710	C₂²	semidirect
128. #11718709	C₂²	semidirect
129. #11718708	C₂²	semidirect
130. #11718708	C₂²	semidirect
131. #11718706	C₂²	semidirect
132. #11718706	C₂²	semidirect
133. #11718705	C₂²	semidirect
134. #11718704	C₂²	semidirect
135. #11718664	C₂²	semidirect
136. #11718657	C₂²	semidirect
137. #11718657	C₂²	semidirect
138. #11718657	C₂²	semidirect
139. #11718549	C₂²	semidirect
140. #11718548	C₂²	semidirect
141. #11718547	C₂²	semidirect
143. #11718545	C₂²	semidirect
145. #11718542	C₂²	semidirect
146. #11718541	C₂²	semidirect
147. #11718529	C₂²	semidirect
148. #11718528	C₂²	semidirect
149. #11718525	C₂²	semidirect
152. #11718523	C₂²	semidirect
153. #11718522	C₂²	semidirect
154. #11718521	C₂²	semidirect
155. #11718477	C₂²	semidirect
156. #11718477	C₂²	semidirect
157. #11718477	C₂²	semidirect
158. #11718476	C₂²	semidirect
159. #11718475	C₂²	semidirect
160. #11718474	C₂²	semidirect
161. #11718474	C₂²	semidirect
162. #11718474	C₂²	semidirect
163. #11718473	C₂²	semidirect
164. #11718471	C₂²	semidirect
165. #11718471	C₂²	semidirect
168. #11718470	C₂²	semidirect
171. #11718469	C₂²	semidirect
172. #11718469	C₂²	semidirect
173. #11718468	C₂²	semidirect
178. #11718466	C₂²	semidirect
179. #11718465	C₂²	semidirect
180. #11718465	C₂²	semidirect
181. #11718463	C₂²	semidirect
182. #11718463	C₂²	semidirect
183. #11718463	C₂²	semidirect
184. #11718463	C₂²	semidirect
185. D₁₃×#103	C₂²	semidirect
186. D₁₃×#103	C₂²	semidirect
187. #11718400	C₂²	semidirect
188. #11718399	C₂²	semidirect
189. #11718398	C₂²	semidirect
190. #11718394	C₂²	semidirect
191. #11718394	C₂²	semidirect
200. #11718384	C₂²	semidirect
201. #11718383	C₂²	semidirect
202. #11718382	C₂²	semidirect
749. #3202	D₁₃	semidirect
972. #485	C₂×D₁₃	semidirect
973. #485	C₂×D₁₃	semidirect
974. #485	C₂×D₁₃	semidirect
975. #485	C₂×D₁₃	semidirect
1004. #470	C₂×D₁₃	semidirect
1005. #470	C₂×D₁₃	semidirect
1020. #467	C₂×D₁₃	semidirect
1021. #467	C₂×D₁₃	semidirect
1050. #451	C₂×D₁₃	semidirect
1051. #451	C₂×D₁₃	semidirect
1052. #451	C₂×D₁₃	semidirect
1053. #451	C₂×D₁₃	semidirect
1685. C₁₃	#60759	semidirect

Maximal subgroups

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

subgroup	index
#13128514	2
D₁₃×#536	2
#13125730	2
#13125729	2
#13125727	2
#13125724	2
#13125722	2
#13125720	2
#13125718	2
#13125670	2
#13125667	2
#13125658	2
#13125656	2
#13125621	2
#13125618	2
#13125609	2
#13125607	2
#13124802	2
#13124800	2
#13124783	2
#13124754	2
#13124526	2
#13124524	2
#13124489	2
#13124486	2
#13124126	2
#13124071	2
D₁₃×#451	2
#13123284	2
C₁₃×#3202	2
#60759	13