Subgroups — D₁₃×#3178 #16732779

Order 3328.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#542	C₂	1	1	yes	maximal, characteristic
2	D₁₃×#541	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125511	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125510	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125509	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125508	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125507	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125506	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125505	C₂	1	1	yes	maximal, characteristic, complemented
10	#13125504	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125503	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125502	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125501	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125500	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125499	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125498	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125497	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#501	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#497	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#488	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#487	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#470	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#468	C₂	1	1	yes	maximal, characteristic
24	D₁₃×#467	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#465	C₂	1	1	yes	maximal, characteristic
26	D₁₃×#441	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×Q₁₆×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×SD₁₆×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#405	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3178	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#542	C₂²	1	1	yes	characteristic
33	C₁₃×#541	C₂²	1	1	yes	characteristic, complemented
34	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic
35	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic
36	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
37	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
38	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
39	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
40	#11719438	C₂²	1	1	yes	characteristic
41	#11719436	C₂²	1	1	yes	characteristic, complemented
42	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
43	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
44	#11719415	—	2	1	no	—
45	D₁₃×#126	—	2	1	no	—
46	D₁₃×#126	—	2	1	no	—
47	D₁₃×#126	—	2	1	no	—
48	#11719406	—	2	1	no	—
49	#11719406	—	2	1	no	—
50	#11719402	C₂²	1	1	yes	characteristic, complemented
51	#11719401	—	2	1	no	—
52	#11719401	—	2	1	no	—
53	D₁₃×#125	—	2	1	no	—
54	D₁₃×#125	—	2	1	no	—
55	D₁₃×#125	C₂²	1	1	yes	characteristic
56	#11719387	C₂²	1	1	yes	characteristic
57	D₁₃×#124	—	2	1	no	—
58	D₁₃×#124	C₂²	1	1	yes	characteristic
59	#11719374	—	2	1	no	—
60	#11719367	—	2	1	no	—
61	D₁₃×#123	—	2	1	no	—
62	#11719348	C₂²	1	1	yes	characteristic
63	#11719345	—	2	1	no	—
64	D₁₃×C₂²⋊Q₈	—	2	1	no	—
65	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
66	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
67	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
68	#11719330	C₂²	1	1	yes	characteristic, complemented
69	#11719330	C₂²	1	1	yes	characteristic, complemented
70	D₁₃×#121	C₂²	1	1	yes	characteristic
71	#11719308	C₂²	1	1	yes	characteristic
72	#11719288	C₂²	1	1	yes	characteristic, complemented
73	#11719288	C₂²	1	1	yes	characteristic, complemented
74	#11719287	C₂²	1	1	yes	characteristic
75	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
76	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
77	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
78	#11719266	C₂²	1	1	yes	characteristic
79	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
80	#11719239	C₂²	1	1	yes	characteristic
81	D₁₃×#117	C₂²	1	1	yes	characteristic
82	#11719223	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#468	C₂²	1	1	yes	characteristic
89	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#465	C₂²	1	1	yes	characteristic
91	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
93	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
96	#11718851	C₂²	1	1	yes	characteristic, complemented
97	#11718851	C₂²	1	1	yes	characteristic, complemented
98	#11718850	C₂²	1	1	yes	characteristic, complemented
99	#11718849	C₂²	1	1	yes	characteristic, complemented
100	#11718845	C₂²	1	1	yes	characteristic, complemented
101	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
102	#11718835	C₂²	1	1	yes	characteristic
103	#11718832	C₂²	1	1	yes	characteristic
104	#11718828	C₂²	1	1	yes	characteristic, complemented
105	#11718828	C₂²	1	1	yes	characteristic, complemented
106	#11718825	C₂²	1	1	yes	characteristic, complemented
107	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718798	C₂²	1	1	yes	characteristic, complemented
109	#11718795	C₂²	1	1	yes	characteristic
110	#11718783	C₂²	1	1	yes	characteristic, complemented
111	#11718777	C₂²	1	1	yes	characteristic, complemented
112	#11718775	C₂²	1	1	yes	characteristic
113	#11718762	C₂²	1	1	yes	characteristic, complemented
114	#11718754	C₂²	1	1	yes	characteristic, complemented
115	#11718747	C₂²	1	1	yes	characteristic, complemented
116	#11718742	C₂²	1	1	yes	characteristic, complemented
117	#11718741	C₂²	1	1	yes	characteristic, complemented
118	#11718729	C₂²	1	1	yes	characteristic, complemented
119	#11718726	C₂²	1	1	yes	characteristic, complemented
120	#11718721	C₂²	1	1	yes	characteristic, complemented
121	#11718717	C₂²	1	1	yes	characteristic, complemented
122	#11718713	C₂²	1	1	yes	characteristic, complemented
123	#11718713	C₂²	1	1	yes	characteristic, complemented
124	#11718712	C₂²	1	1	yes	characteristic, complemented
125	#11718712	C₂²	1	1	yes	characteristic, complemented
126	#11718710	C₂²	1	1	yes	characteristic
127	#11718709	C₂²	1	1	yes	characteristic
128	#11718703	C₂²	1	1	yes	characteristic
129	#11718702	C₂²	1	1	yes	characteristic
130	#11718691	C₂²	1	1	yes	characteristic, complemented
131	#11718691	C₂²	1	1	yes	characteristic, complemented
132	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
133	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
134	#11718687	C₂²	1	1	yes	characteristic, complemented
135	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
136	#11718679	C₂²	1	1	yes	characteristic, complemented
137	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
138	#11718658	C₂²	1	1	yes	characteristic, complemented
139	#11718550	C₂²	1	1	yes	characteristic, complemented
140	#11718548	C₂²	1	1	yes	characteristic, complemented
141	#11718547	C₂²	1	1	yes	characteristic
142	D₁₃×#107	C₂²	1	1	yes	characteristic
143	D₁₃×#107	C₂²	1	1	yes	characteristic
144	#11718537	C₂²	1	1	yes	characteristic, complemented
145	#11718537	C₂²	1	1	yes	characteristic, complemented
146	#11718534	C₂²	1	1	yes	characteristic, complemented
147	#11718529	C₂²	1	1	yes	characteristic, complemented
148	#11718525	C₂²	1	1	yes	characteristic
149	D₁₃×#106	C₂²	1	1	yes	characteristic
150	D₁₃×#106	C₂²	1	1	yes	characteristic
151	#11718517	C₂²	1	1	yes	characteristic, complemented
152	#11718517	C₂²	1	1	yes	characteristic, complemented
153	#11718514	C₂²	1	1	yes	characteristic, complemented
154	#11718513	C₂²	1	1	yes	characteristic, complemented
155	#11718478	C₂²	1	1	yes	characteristic, complemented
156	#11718477	C₂²	1	1	yes	characteristic, complemented
157	#11718477	C₂²	1	1	yes	characteristic, complemented
158	#11718474	C₂²	1	1	yes	characteristic, complemented
159	#11718474	C₂²	1	1	yes	characteristic, complemented
160	#11718473	C₂²	1	1	yes	characteristic
161	#11718468	C₂²	1	1	yes	characteristic
162	D₁₃×#103	C₂²	1	1	yes	characteristic
163	D₁₃×#103	C₂²	1	1	yes	characteristic
164	D₁₃×#103	C₂²	1	1	yes	characteristic
165	D₁₃×#103	C₂²	1	1	yes	characteristic
166	D₁₃×#103	C₂²	1	1	yes	characteristic
167	D₁₃×#103	C₂²	1	1	yes	characteristic
168	#11718461	C₂²	1	1	yes	characteristic, complemented
169	#11718461	C₂²	1	1	yes	characteristic, complemented
170	#11718453	C₂²	1	1	yes	characteristic, complemented
171	#11718453	C₂²	1	1	yes	characteristic, complemented
172	#11718453	C₂²	1	1	yes	characteristic, complemented
173	#11718453	C₂²	1	1	yes	characteristic, complemented
174	#11718451	C₂²	1	1	yes	characteristic, complemented
175	#11718451	C₂²	1	1	yes	characteristic, complemented
176	#11718450	C₂²	1	1	yes	characteristic, complemented
177	#11718450	C₂²	1	1	yes	characteristic, complemented
178	#11718449	C₂²	1	1	yes	characteristic, complemented
179	#11718441	C₂²	1	1	yes	characteristic
180	#11718439	C₂²	1	1	yes	characteristic
181	D₁₃×#102	C₂²	1	1	yes	characteristic
182	D₁₃×#102	C₂²	1	1	yes	characteristic
183	#11718429	C₂²	1	1	yes	characteristic, complemented
184	#11718429	C₂²	1	1	yes	characteristic, complemented
185	#11718419	C₂²	1	1	yes	characteristic, complemented
186	#11718418	C₂²	1	1	yes	characteristic, complemented
187	#11718377	C₂²	1	1	yes	characteristic, complemented
188	#11718376	C₂²	1	1	yes	characteristic, complemented
189	#11718371	C₂²	1	1	yes	characteristic, complemented
190	#11718369	C₂²	1	1	yes	characteristic, complemented
191	#11718369	C₂²	1	1	yes	characteristic, complemented
192	D₁₃×#97	C₂²	1	1	yes	characteristic
193	D₁₃×#97	C₂²	1	1	yes	characteristic
194	#11718363	C₂²	1	1	yes	characteristic, complemented
195	C₄×Dic₅₂	C₂²	1	1	yes	characteristic, complemented
196	#11718358	C₂²	1	1	yes	characteristic, complemented
197	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
198	#11718350	C₂²	1	1	yes	characteristic, complemented
199	#11718350	C₂²	1	1	yes	characteristic, complemented
200	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
201	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
202	#11718342	C₂²	1	1	yes	characteristic, complemented
203	C₂×Q₈×D₁₃	—	2	1	no	—
204	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₁₃	—	2	1	no	—
208	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₁₃	—	2	1	no	—
210	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
216	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
217	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₁₃×#126	—	2	1	no	—
220	C₁₃×#126	—	2	1	no	—
221	C₁₃×#126	—	2	1	no	—
222	C₁₃×#125	—	2	1	no	—
223	C₁₃×#125	—	2	1	no	—
224	C₁₃×#125	C₂³	1	1	yes	characteristic
225	C₁₃×#124	—	2	1	no	—
226	C₁₃×#124	C₂³	1	1	yes	characteristic
227	C₁₃×#123	—	2	1	no	—
228	C₁₃×C₂²⋊Q₈	—	2	1	no	—
229	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
230	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
231	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
232	C₁₃×#121	C₂³	1	1	yes	characteristic
233	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
234	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₁₃×#117	C₂³	1	1	yes	characteristic
238	#88201	—	2	1	no	—
239	#88201	C₂³	1	1	yes	characteristic
240	#88200	—	2	1	no	—
241	#88200	C₂³	1	1	yes	characteristic
242	#88200	C₂³	1	1	yes	characteristic
243	#88200	C₂³	1	1	yes	characteristic
244	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
245	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
246	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
247	#88198	—	2	1	no	—
248	#88198	C₂³	1	1	yes	characteristic
249	#88198	C₂³	1	1	yes	characteristic
250	C₂×#6107	C₂³	1	1	yes	characteristic
251	C₂×#6107	C₂³	1	1	yes	characteristic
252	C₂×#6107	C₂³	1	1	yes	characteristic
253	C₂×#6107	C₂³	1	1	yes	characteristic
254	C₂×#6106	C₂³	1	1	yes	characteristic
255	C₂×#6106	C₂³	1	1	yes	characteristic
256	#88193	—	2	1	no	—
257	#88192	C₂³	1	1	yes	characteristic
258	#88190	—	2	1	no	—
259	#88190	C₂³	1	1	yes	characteristic
260	#88189	—	2	1	no	—
261	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
262	C₂×#6105	C₂³	1	1	yes	characteristic
263	C₂×#6105	C₂³	1	1	yes	characteristic
264	#88184	C₂³	1	1	yes	characteristic
265	#88183	—	2	1	no	—
266	C₄×C₂²⋊D₁₃	—	2	1	no	—
267	#88180	C₂³	1	1	yes	characteristic
268	#88178	—	2	1	no	—
269	#88178	C₂³	1	1	yes	characteristic
270	#88178	C₂³	1	1	yes	characteristic
271	#88178	C₂³	1	1	yes	characteristic
272	C₂×#6099	C₂³	1	1	yes	characteristic
273	C₂²×#1055	C₂³	1	1	yes	characteristic
274	Q₁₆×D₁₃	—	2	4	no	—
275	Q₁₆×D₁₃	—	2	4	no	—
276	SD₁₆×D₁₃	—	2	4	no	—
277	SD₁₆×D₁₃	—	2	4	no	—
278	M₁₆×D₁₃	—	2	4	no	—
279	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
280	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
281	C₂×#6095	C₂³	1	1	yes	characteristic
282	C₂×#6095	C₂³	1	1	yes	characteristic
283	C₂×#6094	C₂³	1	1	yes	characteristic
284	C₂×#6094	C₂³	1	1	yes	characteristic
285	C₂×C₈×D₁₃	—	2	4	no	—
286	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
292	#88152	—	2	1	no	—
293	#88152	—	2	1	no	—
294	#88152	—	2	1	no	—
295	#88152	—	2	1	no	—
296	#88152	—	2	1	no	—
297	#88152	—	2	1	no	—
298	#88152	—	2	1	no	—
299	#88152	—	2	1	no	—
300	#88152	—	2	1	no	—
301	#88151	—	2	1	no	—
302	#88151	C₂³	1	1	yes	characteristic
303	#88151	C₂³	1	1	yes	characteristic
304	#88151	C₂³	1	1	yes	characteristic
305	#88150	—	2	1	no	—
306	#88150	—	2	1	no	—
307	#88150	—	2	1	no	—
308	#88150	—	2	1	no	—
309	#88150	—	2	1	no	—
310	#88149	C₂³	1	1	yes	characteristic
311	#88148	—	2	1	no	—
312	#88148	—	2	1	no	—
313	#88147	C₂³	1	1	yes	characteristic
314	#88146	D₄	1	1	yes	characteristic
315	#88146	D₄	1	1	yes	characteristic
316	C₄⋊C₄×D₁₃	—	2	1	no	—
317	C₄⋊C₄×D₁₃	—	2	1	no	—
318	C₄⋊C₄×D₁₃	—	2	1	no	—
319	C₄⋊C₄×D₁₃	—	2	1	no	—
320	C₄⋊C₄×D₁₃	—	2	1	no	—
321	C₄⋊C₄×D₁₃	—	2	1	no	—
322	C₄⋊C₄×D₁₃	—	2	1	no	—
323	C₄⋊C₄×D₁₃	—	2	1	no	—
324	C₄⋊C₄×D₁₃	—	2	1	no	—
325	C₄⋊C₄×D₁₃	—	2	1	no	—
326	C₄⋊C₄×D₁₃	—	2	1	no	—
327	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
328	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
329	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
330	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
331	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
332	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
333	#88144	—	2	1	no	—
334	#88144	—	2	1	no	—
335	#88144	—	2	1	no	—
336	#88144	—	2	1	no	—
337	#88144	C₂³	1	1	yes	characteristic
338	#88144	C₂³	1	1	yes	characteristic
339	#88143	—	2	1	no	—
340	#88143	—	2	1	no	—
341	#88143	—	2	1	no	—
342	#88143	—	2	1	no	—
343	#88143	—	2	1	no	—
344	#88143	—	2	1	no	—
345	#88143	—	2	1	no	—
346	#88143	—	2	1	no	—
347	#88143	—	2	1	no	—
348	#88143	—	2	1	no	—
349	#88142	—	2	1	no	—
350	#88142	—	2	1	no	—
351	#88142	—	2	1	no	—
352	#88142	C₂³	1	1	yes	characteristic
353	#88142	C₂³	1	1	yes	characteristic
354	#88141	—	2	1	no	—
355	#88141	—	2	1	no	—
356	#88141	—	2	1	no	—
357	#88141	C₂³	1	1	yes	characteristic
358	#88141	C₂³	1	1	yes	characteristic
359	#88141	C₂³	1	1	yes	characteristic
360	#88140	—	2	1	no	—
361	#88139	—	2	1	no	—
362	#88139	—	2	1	no	—
363	#88139	—	2	1	no	—
364	#88139	—	2	1	no	—
365	#88139	—	2	1	no	—
366	#88139	—	2	1	no	—
367	#88138	—	2	1	no	—
368	#88137	—	2	1	no	—
369	#88137	—	2	1	no	—
370	#88135	—	2	1	no	—
371	C₂²⋊C₄×D₁₃	—	2	1	no	—
372	C₂²⋊C₄×D₁₃	—	2	1	no	—
373	C₂²⋊C₄×D₁₃	—	2	1	no	—
374	C₂²⋊C₄×D₁₃	—	2	1	no	—
375	C₂²⋊C₄×D₁₃	—	2	1	no	—
376	C₂²⋊C₄×D₁₃	—	2	1	no	—
377	C₂²⋊C₄×D₁₃	—	2	1	no	—
378	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
379	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
380	#88133	—	2	1	no	—
381	#88133	—	2	1	no	—
382	#88133	—	2	1	no	—
383	#88133	—	2	1	no	—
384	#88133	—	2	1	no	—
385	#88133	—	2	1	no	—
386	#88133	—	2	1	no	—
387	#88133	—	2	1	no	—
388	#88133	—	2	1	no	—
389	#88132	—	2	1	no	—
390	#88132	—	2	1	no	—
391	#88132	—	2	1	no	—
392	#88132	—	2	1	no	—
393	#88132	—	2	1	no	—
394	#88131	D₄	1	1	yes	characteristic
395	#88131	D₄	1	1	yes	characteristic
396	#88130	—	2	1	no	—
397	#88130	—	2	1	no	—
398	#88130	—	2	1	no	—
399	#88129	—	2	1	no	—
400	#88129	C₂³	1	1	yes	characteristic
401	C₄×D₅₂	C₂³	1	1	yes	characteristic
402	#88126	C₂³	1	1	yes	characteristic
403	#88126	C₂³	1	1	yes	characteristic
404	C₄²×D₁₃	—	2	1	no	—
405	C₄²×D₁₃	—	2	1	no	—
406	C₄²×D₁₃	—	2	1	no	—
407	C₄²×D₁₃	C₂³	1	1	yes	characteristic
408	C₄²×D₁₃	C₂³	1	1	yes	characteristic
409	#88124	—	2	1	no	—
410	#88124	—	2	1	no	—
411	#88124	C₂³	1	1	yes	characteristic
412	#88123	C₂³	1	1	yes	characteristic
413	#88123	C₂³	1	1	yes	characteristic
414	C₄×Dic₂₆	—	2	1	no	—
415	C₄×Dic₂₆	—	2	1	no	—
416	C₄×Dic₂₆	—	2	1	no	—
417	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
420	C₁₃×#107	C₂³	1	1	yes	characteristic
421	C₁₃×#107	C₂³	1	1	yes	characteristic
422	C₁₃×#106	C₂³	1	1	yes	characteristic
423	C₁₃×#106	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#103	C₂³	1	1	yes	characteristic
427	C₁₃×#103	C₂³	1	1	yes	characteristic
428	C₁₃×#103	C₂³	1	1	yes	characteristic
429	C₁₃×#103	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	C₁₃×#102	C₂³	1	1	yes	characteristic
432	C₁₃×#97	C₂³	1	1	yes	characteristic
433	C₁₃×#97	C₂³	1	1	yes	characteristic
434	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
435	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88075	C₂³	1	1	yes	characteristic
439	#88075	C₂³	1	1	yes	characteristic
440	#88075	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88061	C₂³	1	1	yes	characteristic
445	#88061	C₂³	1	1	yes	characteristic
446	#88058	C₂³	1	1	yes	characteristic
447	#88058	C₂³	1	1	yes	characteristic
448	#88057	C₂³	1	1	yes	characteristic
449	#88057	C₂³	1	1	yes	characteristic
450	#88056	C₂³	1	1	yes	characteristic
451	#88056	C₂³	1	1	yes	characteristic
452	#88056	C₂³	1	1	yes	characteristic
453	#88056	C₂³	1	1	yes	characteristic
454	#88056	C₂³	1	1	yes	characteristic
455	#88056	C₂³	1	1	yes	characteristic
456	#88055	C₂³	1	1	yes	characteristic
457	#88055	C₂³	1	1	yes	characteristic
458	#88055	C₂³	1	1	yes	characteristic
459	#88055	C₂³	1	1	yes	characteristic
460	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
461	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
462	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
463	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
464	#88050	C₂³	1	1	yes	characteristic
465	#88050	C₂³	1	1	yes	characteristic
466	#88050	C₂³	1	1	yes	characteristic
467	#88050	C₂³	1	1	yes	characteristic
468	#88050	C₂³	1	1	yes	characteristic
469	#88050	C₂³	1	1	yes	characteristic
470	#88049	C₂³	1	1	yes	characteristic
471	#88049	C₂³	1	1	yes	characteristic
472	#88048	C₂³	1	1	yes	characteristic
473	#88048	C₂³	1	1	yes	characteristic
474	#88048	C₂³	1	1	yes	characteristic
475	#88048	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	#88047	C₂³	1	1	yes	characteristic
478	#88047	C₂³	1	1	yes	characteristic
479	#88047	C₂³	1	1	yes	characteristic
480	#88043	C₂³	1	1	yes	characteristic
481	#88043	C₂³	1	1	yes	characteristic
482	C₄×#1055	C₂³	1	1	yes	characteristic
483	C₄×#1055	C₂³	1	1	yes	characteristic
484	C₂×#3178	—	13	1	no	maximal, Sylow
485	C₂³×D₁₃	—	2	1	no	—
486	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
487	C₂×Q₈×C₁₃	—	2	1	no	—
488	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
489	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
490	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
491	C₂×D₄×C₁₃	—	2	1	no	—
492	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₁₃	—	2	1	no	—
494	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×C₂²⋊D₁₃	—	2	1	no	—
496	C₂×C₂²⋊D₁₃	—	2	1	no	—
497	C₂×C₂²⋊D₁₃	—	2	1	no	—
498	C₂²×Dic₁₃	—	2	1	no	—
499	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
500	Q₈×D₁₃	—	2	2	no	—
501	Q₈×D₁₃	—	2	2	no	—
502	Q₈×D₁₃	—	2	2	no	—
503	Q₈×D₁₃	—	2	2	no	—
504	Q₈×D₁₃	—	2	2	no	—
505	Q₈×D₁₃	—	2	2	no	—
506	Q₈×D₁₃	—	8	2	no	—
507	D₄×D₁₃	—	2	2	no	—
508	D₄×D₁₃	—	2	2	no	—
509	D₄×D₁₃	—	8	2	no	—
510	C₂×D₅₂	—	2	1	no	—
511	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
512	C₂×C₄×D₁₃	—	2	2	no	—
513	C₂×C₄×D₁₃	—	2	2	no	—
514	C₂×C₄×D₁₃	—	2	1	no	—
515	C₂×C₄×D₁₃	—	2	1	no	—
516	C₂×C₄×D₁₃	—	2	1	no	—
517	C₂×C₄×D₁₃	—	2	1	no	—
518	C₂×C₄×D₁₃	—	2	1	no	—
519	C₂×C₄×D₁₃	—	2	1	no	—
520	C₂×C₄×D₁₃	—	2	1	no	—
521	C₂×C₄×D₁₃	—	2	1	no	—
522	C₂×C₄×D₁₃	—	2	1	no	—
523	C₂×C₄×D₁₃	—	8	2	no	—
524	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
525	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
526	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
529	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
531	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
532	C₂×Dic₂₆	—	2	1	no	—
533	C₂×Dic₂₆	—	2	1	no	—
534	C₂×Dic₂₆	—	2	1	no	—
535	C₂×Dic₂₆	—	2	1	no	—
536	C₂×Dic₂₆	—	2	1	no	—
537	C₂×Dic₂₆	—	2	1	no	—
538	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
539	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
540	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
541	C₁₃×Q₁₆	—	2	2	no	—
542	C₁₃×Q₁₆	—	2	2	no	—
543	C₁₃×SD₁₆	—	2	2	no	—
544	C₁₃×SD₁₆	—	2	2	no	—
545	C₁₃×M₁₆	—	2	2	no	—
546	C₂×C₈×C₁₃	—	2	2	no	—
547	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
548	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
549	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
550	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
551	C₁₃×C₄⋊C₄	—	2	1	no	—
552	C₁₃×C₄⋊C₄	—	2	1	no	—
553	C₁₃×C₄⋊C₄	—	2	1	no	—
554	C₁₃×C₄⋊C₄	—	2	1	no	—
555	C₁₃×C₄⋊C₄	—	2	1	no	—
556	C₁₃×C₄⋊C₄	—	2	1	no	—
557	C₁₃×C₄⋊C₄	—	2	1	no	—
558	C₁₃×C₄⋊C₄	—	2	1	no	—
559	C₁₃×C₄⋊C₄	—	2	1	no	—
560	C₁₃×C₄⋊C₄	—	2	1	no	—
561	C₁₃×C₄⋊C₄	—	2	1	no	—
562	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
563	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
564	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
565	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
566	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
567	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
568	C₁₃×C₂²⋊C₄	—	2	1	no	—
569	C₁₃×C₂²⋊C₄	—	2	1	no	—
570	C₁₃×C₂²⋊C₄	—	2	1	no	—
571	C₁₃×C₂²⋊C₄	—	2	1	no	—
572	C₁₃×C₂²⋊C₄	—	2	1	no	—
573	C₁₃×C₂²⋊C₄	—	2	1	no	—
574	C₁₃×C₂²⋊C₄	—	2	1	no	—
575	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
576	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
577	C₄²×C₁₃	—	2	1	no	—
578	C₄²×C₁₃	—	2	1	no	—
579	C₄²×C₁₃	—	2	1	no	—
580	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
581	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
582	C₂²⋊Dic₁₃	—	2	1	no	—
583	C₂²⋊Dic₁₃	—	2	1	no	—
584	C₂²⋊Dic₁₃	—	2	1	no	—
585	C₂²⋊Dic₁₃	—	2	1	no	—
586	C₂²⋊Dic₁₃	—	2	1	no	—
587	C₂²⋊Dic₁₃	—	2	1	no	—
588	C₂²⋊Dic₁₃	—	2	1	no	—
589	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
590	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
591	#6107	—	2	2	no	—
592	#6107	—	2	2	no	—
593	#6107	—	2	2	no	—
594	#6107	—	2	2	no	—
595	#6106	—	2	2	no	—
596	#6106	—	2	2	no	—
597	#6105	—	2	2	no	—
598	#6105	—	2	2	no	—
599	#6103	—	2	1	no	—
600	#6103	—	2	1	no	—
601	#6103	—	2	1	no	—
602	#6103	—	2	1	no	—
603	#6103	—	2	1	no	—
604	#6103	—	2	1	no	—
605	#6103	—	2	1	no	—
606	#6103	—	2	1	no	—
607	#6103	—	2	1	no	—
608	#6103	—	2	1	no	—
609	#6103	—	2	1	no	—
610	#6103	—	2	1	no	—
611	#6103	—	2	1	no	—
612	#6103	—	2	1	no	—
613	#6103	C₂×D₄	1	1	yes	characteristic
614	#6103	C₂×D₄	1	1	yes	characteristic
615	#6103	C₂×D₄	1	1	yes	characteristic
616	#6103	C₂×D₄	1	1	yes	characteristic
617	C₄⋊Dic₁₃	—	2	1	no	—
618	C₄⋊Dic₁₃	—	2	1	no	—
619	C₄⋊Dic₁₃	—	2	1	no	—
620	C₄⋊Dic₁₃	—	2	1	no	—
621	C₄⋊Dic₁₃	—	2	1	no	—
622	C₄⋊Dic₁₃	—	2	1	no	—
623	C₄⋊Dic₁₃	—	2	1	no	—
624	C₄⋊Dic₁₃	—	2	1	no	—
625	C₄⋊Dic₁₃	—	2	1	no	—
626	C₄⋊Dic₁₃	—	2	1	no	—
627	C₄⋊Dic₁₃	—	2	1	no	—
628	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
629	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
630	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
631	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
632	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
633	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
634	#6101	—	2	1	no	—
635	#6101	—	2	1	no	—
636	#6101	—	2	1	no	—
637	#6101	—	2	1	no	—
638	#6101	—	2	1	no	—
639	#6101	—	2	1	no	—
640	#6101	—	2	1	no	—
641	#6101	—	2	1	no	—
642	#6101	—	2	1	no	—
643	#6101	—	2	1	no	—
644	#6101	—	2	1	no	—
645	#6101	—	2	1	no	—
646	#6101	—	2	1	no	—
647	#6101	—	2	1	no	—
648	#6101	—	2	1	no	—
649	#6101	—	2	1	no	—
650	#6101	—	2	1	no	—
651	#6101	—	2	1	no	—
652	#6101	—	2	1	no	—
653	#6101	—	2	1	no	—
654	#6101	—	2	1	no	—
655	#6101	—	2	1	no	—
656	#6101	—	2	1	no	—
657	#6101	—	2	1	no	—
658	#6101	—	2	1	no	—
659	#6101	—	2	1	no	—
660	#6101	C₂×D₄	1	1	yes	characteristic
661	#6101	C₂×D₄	1	1	yes	characteristic
662	#6101	C₂×D₄	1	1	yes	characteristic
663	#6101	C₂×D₄	1	1	yes	characteristic
664	C₄×Dic₁₃	—	2	1	no	—
665	C₄×Dic₁₃	—	2	1	no	—
666	C₄×Dic₁₃	—	2	1	no	—
667	C₄×Dic₁₃	—	2	1	no	—
668	C₄×Dic₁₃	—	2	1	no	—
669	C₄×Dic₁₃	—	2	1	no	—
670	C₄×Dic₁₃	—	2	1	no	—
671	C₄×Dic₁₃	—	2	1	no	—
672	C₄×Dic₁₃	—	2	1	no	—
673	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
674	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
675	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
676	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
677	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
678	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
679	#6099	—	2	2	no	—
680	C₂×#1055	—	2	2	no	—
681	C₂×#1055	C₂⁴	1	1	yes	characteristic
682	C₂×#1055	C₂⁴	1	1	yes	characteristic
683	C₂×#1055	C₂⁴	1	1	yes	characteristic
684	C₂×#1055	C₂⁴	1	1	yes	characteristic
685	Dic₅₂	—	2	2	no	—
686	Dic₅₂	—	2	2	no	—
687	#6095	—	2	2	no	—
688	#6095	—	2	2	no	—
689	#6094	—	2	2	no	—
690	#6094	—	2	2	no	—
691	C₈×D₁₃	—	2	2	no	—
692	C₈×D₁₃	—	2	2	no	—
693	C₈×D₁₃	—	2	2	no	—
694	C₈×D₁₃	—	2	2	no	—
695	C₈×D₁₃	#41	1	4	yes	—
696	C₈×D₁₃	#41	1	4	yes	—
697	C₂×#542	—	13	1	no	—
698	C₂×#541	—	13	1	no	—
699	#3178	—	13	1	no	—
700	#3178	—	13	1	no	—
701	#3178	—	13	1	no	—
702	#3178	—	13	1	no	—
703	#3178	—	13	1	no	—
704	#3178	—	13	1	no	—
705	#3178	—	13	1	no	—
706	#3178	—	13	1	no	—
707	#3178	—	13	1	no	—
708	#3178	—	13	1	no	—
709	#3178	—	13	1	no	—
710	#3178	—	13	1	no	—
711	#3178	—	13	1	no	—
712	#3178	—	13	1	no	—
713	#3178	—	13	1	no	—
714	#3178	D₁₃	1	1	yes	characteristic, direct product factor
715	C₂×#501	—	13	1	no	—
716	C₂×#497	—	13	1	no	—
717	C₂×#488	—	13	1	no	—
718	C₂×#487	—	13	1	no	—
719	C₂×#470	—	13	1	no	—
720	C₂×#468	—	13	1	no	—
721	C₂×#467	—	13	1	no	—
722	C₂×#465	—	13	1	no	—
723	C₂×#441	—	13	1	no	—
724	C₂×#440	—	13	1	no	—
725	C₂×C₄×Q₁₆	—	13	1	no	—
726	C₂×C₄×SD₁₆	—	13	1	no	—
727	C₂×#405	—	13	1	no	—
728	C₂³×C₁₃	—	2	1	no	—
729	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
730	C₂²×D₁₃	—	2	2	no	—
731	C₂²×D₁₃	—	2	2	no	—
732	C₂²×D₁₃	—	2	2	no	—
733	C₂²×D₁₃	—	2	1	no	—
734	C₂²×D₁₃	—	4	2	no	—
735	C₂²×D₁₃	—	4	2	no	—
736	C₂²×D₁₃	—	4	2	no	—
737	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
738	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
739	Q₈×C₁₃	—	2	1	no	—
740	Q₈×C₁₃	—	2	1	no	—
741	Q₈×C₁₃	—	2	1	no	—
742	Q₈×C₁₃	—	2	1	no	—
743	Q₈×C₁₃	—	2	1	no	—
744	Q₈×C₁₃	—	2	1	no	—
745	Q₈×C₁₃	—	8	1	no	—
746	D₄×C₁₃	—	2	1	no	—
747	D₄×C₁₃	—	2	1	no	—
748	D₄×C₁₃	—	8	1	no	—
749	C₂×C₄×C₁₃	—	2	1	no	—
750	C₂×C₄×C₁₃	—	2	1	no	—
751	C₂×C₄×C₁₃	—	2	1	no	—
752	C₂×C₄×C₁₃	—	2	1	no	—
753	C₂×C₄×C₁₃	—	2	1	no	—
754	C₂×C₄×C₁₃	—	2	1	no	—
755	C₂×C₄×C₁₃	—	2	1	no	—
756	C₂×C₄×C₁₃	—	2	1	no	—
757	C₂×C₄×C₁₃	—	2	1	no	—
758	C₂×C₄×C₁₃	—	8	1	no	—
759	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
761	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
762	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
763	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
764	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
765	C₂²⋊D₁₃	—	4	2	no	—
766	C₂²⋊D₁₃	—	8	1	no	—
767	C₂²⋊D₁₃	—	8	1	no	—
768	C₂×Dic₁₃	—	2	2	no	—
769	C₂×Dic₁₃	—	2	1	no	—
770	C₂×Dic₁₃	—	2	1	no	—
771	C₂×Dic₁₃	—	2	1	no	—
772	C₂×Dic₁₃	—	2	1	no	—
773	C₂×Dic₁₃	—	2	1	no	—
774	C₂×Dic₁₃	—	2	1	no	—
775	C₂×Dic₁₃	—	2	1	no	—
776	C₂×Dic₁₃	—	8	1	no	—
777	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
783	D₅₂	—	2	1	no	—
784	D₅₂	—	2	1	no	—
785	D₅₂	—	8	1	no	—
786	C₄×D₁₃	—	2	2	no	—
787	C₄×D₁₃	—	2	2	no	—
788	C₄×D₁₃	—	2	2	no	—
789	C₄×D₁₃	—	2	2	no	—
790	C₄×D₁₃	—	2	2	no	—
791	C₄×D₁₃	—	2	1	no	—
792	C₄×D₁₃	—	2	1	no	—
793	C₄×D₁₃	—	2	2	no	—
794	C₄×D₁₃	—	4	2	no	—
795	C₄×D₁₃	—	4	2	no	—
796	C₄×D₁₃	—	4	2	no	—
797	C₄×D₁₃	—	4	2	no	—
798	C₄×D₁₃	—	4	2	no	—
799	C₄×D₁₃	—	4	2	no	—
800	C₄×D₁₃	—	4	2	no	—
801	C₄×D₁₃	—	8	1	no	—
802	C₄×D₁₃	—	8	1	no	—
803	C₄×D₁₃	C₂×#41	1	2	yes	—
804	C₄×D₁₃	C₂×#41	1	2	yes	—
805	Dic₂₆	—	2	1	no	—
806	Dic₂₆	—	2	1	no	—
807	Dic₂₆	—	2	1	no	—
808	Dic₂₆	—	2	1	no	—
809	Dic₂₆	—	2	1	no	—
810	Dic₂₆	—	2	1	no	—
811	Dic₂₆	—	4	2	no	—
812	Dic₂₆	—	4	2	no	—
813	Dic₂₆	—	4	2	no	—
814	Dic₂₆	—	8	1	no	—
815	Dic₂₆	—	8	1	no	—
816	Dic₂₆	—	8	1	no	—
817	C₈×C₁₃	—	2	1	no	—
818	C₈×C₁₃	—	2	1	no	—
819	C₈×C₁₃	C₂×#41	1	2	yes	—
820	C₈×C₁₃	C₂×#41	1	2	yes	—
821	#1055	—	2	1	no	—
822	#1055	—	2	1	no	—
823	#1055	C₂×#41	1	2	yes	—
824	#1055	C₂×#41	1	2	yes	—
825	C₂²×Q₁₆	—	13	1	no	—
826	C₂²×Q₁₆	—	13	1	no	—
827	C₂²×SD₁₆	—	13	1	no	—
828	C₂²×SD₁₆	—	13	1	no	—
829	C₂²×M₁₆	—	13	1	no	—
830	C₂³×C₈	—	13	1	no	—
831	#542	—	13	1	no	—
832	#542	—	13	1	no	—
833	#542	—	13	1	no	—
834	#542	—	13	1	no	—
835	#542	—	13	1	no	—
836	#542	—	13	1	no	—
837	#542	—	13	1	no	—
838	#542	—	26	1	no	—
839	#542	—	26	1	no	—
840	#542	—	26	1	no	—
841	#542	—	26	1	no	—
842	#542	C₂×D₁₃	1	1	yes	characteristic
843	#541	—	13	1	no	—
844	#541	—	13	1	no	—
845	#541	—	13	1	no	—
846	#541	—	13	1	no	—
847	#541	—	13	1	no	—
848	#541	—	13	1	no	—
849	#541	—	13	1	no	—
850	#541	—	26	1	no	—
851	#541	—	26	1	no	—
852	#541	—	26	1	no	—
853	#541	—	26	1	no	—
854	#541	C₂×D₁₃	1	1	yes	characteristic, complemented
855	C₂×C₄⋊Q₈	—	13	1	no	—
856	C₂×C₄⋊Q₈	—	13	1	no	—
857	C₂×#126	—	26	1	no	—
858	C₂×#126	—	26	1	no	—
859	C₂×#126	—	26	1	no	—
860	C₂×#125	—	13	1	no	—
861	C₂×#125	—	26	1	no	—
862	C₂×#125	—	26	1	no	—
863	C₂×#124	—	13	1	no	—
864	C₂×#124	—	26	1	no	—
865	C₂×#123	—	26	1	no	—
866	C₂×C₂²⋊Q₈	—	13	1	no	—
867	C₂×C₂²⋊Q₈	—	13	1	no	—
868	C₂×C₂²⋊Q₈	—	13	1	no	—
869	C₂×C₂²⋊Q₈	—	26	1	no	—
870	C₂×#121	—	13	1	no	—
871	C₂×C₄×Q₈	—	13	1	no	—
872	C₂×C₄×Q₈	—	13	1	no	—
873	C₂×C₄×Q₈	—	13	1	no	—
874	C₂×C₄×D₄	—	13	1	no	—
875	C₂×#117	—	13	1	no	—
876	#501	—	13	1	no	—
877	#501	—	13	1	no	—
878	#501	—	13	1	no	—
879	#501	—	13	1	no	—
880	#501	—	13	1	no	—
881	#501	—	13	1	no	—
882	#501	—	13	1	no	—
883	#501	C₂×D₁₃	1	1	yes	characteristic, complemented
884	#497	—	13	1	no	—
885	#497	—	13	1	no	—
886	#497	—	13	1	no	—
887	#497	—	13	1	no	—
888	#497	—	13	1	no	—
889	#497	—	13	1	no	—
890	#497	—	13	1	no	—
891	#497	C₂×D₁₃	1	1	yes	characteristic, complemented
892	#488	—	13	1	no	—
893	#488	—	13	1	no	—
894	#488	—	13	1	no	—
895	#488	—	13	1	no	—
896	#488	—	13	1	no	—
897	#488	—	13	1	no	—
898	#488	—	13	1	no	—
899	#488	C₂×D₁₃	1	1	yes	characteristic, complemented
900	#487	—	13	1	no	—
901	#487	—	13	1	no	—
902	#487	—	13	1	no	—
903	#487	—	13	1	no	—
904	#487	—	13	1	no	—
905	#487	—	13	1	no	—
906	#487	—	13	1	no	—
907	#487	C₂×D₁₃	1	1	yes	characteristic, complemented
908	#470	—	13	1	no	—
909	#470	—	13	1	no	—
910	#470	—	13	1	no	—
911	#470	—	13	1	no	—
912	#470	—	13	1	no	—
913	#470	—	13	1	no	—
914	#470	—	13	1	no	—
915	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
916	#468	—	13	1	no	—
917	#468	—	13	1	no	—
918	#468	—	13	1	no	—
919	#468	—	13	1	no	—
920	#468	—	13	1	no	—
921	#468	—	13	1	no	—
922	#468	—	13	1	no	—
923	#468	C₂×D₁₃	1	1	yes	characteristic
924	#467	—	13	1	no	—
925	#467	—	13	1	no	—
926	#467	—	13	1	no	—
927	#467	—	13	1	no	—
928	#467	—	13	1	no	—
929	#467	—	13	1	no	—
930	#467	—	13	1	no	—
931	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
932	#465	—	13	1	no	—
933	#465	—	13	1	no	—
934	#465	—	13	1	no	—
935	#465	—	13	1	no	—
936	#465	—	13	1	no	—
937	#465	—	13	1	no	—
938	#465	—	13	1	no	—
939	#465	C₂×D₁₃	1	1	yes	characteristic
940	#441	—	13	1	no	—
941	#441	—	13	1	no	—
942	#441	—	13	1	no	—
943	#441	—	13	1	no	—
944	#441	—	13	1	no	—
945	#441	—	13	1	no	—
946	#441	—	13	1	no	—
947	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
948	#440	—	13	1	no	—
949	#440	—	13	1	no	—
950	#440	—	13	1	no	—
951	#440	—	13	1	no	—
952	#440	—	13	1	no	—
953	#440	—	13	1	no	—
954	#440	—	13	1	no	—
955	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
956	C₄×Q₁₆	—	13	1	no	—
957	C₄×Q₁₆	—	13	1	no	—
958	C₄×Q₁₆	—	13	1	no	—
959	C₄×Q₁₆	—	13	1	no	—
960	C₄×Q₁₆	—	13	1	no	—
961	C₄×Q₁₆	—	13	1	no	—
962	C₄×Q₁₆	—	13	1	no	—
963	C₄×Q₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
964	C₄×SD₁₆	—	13	1	no	—
965	C₄×SD₁₆	—	13	1	no	—
966	C₄×SD₁₆	—	13	1	no	—
967	C₄×SD₁₆	—	13	1	no	—
968	C₄×SD₁₆	—	13	1	no	—
969	C₄×SD₁₆	—	13	1	no	—
970	C₄×SD₁₆	—	13	1	no	—
971	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
972	C₂×#107	—	13	1	no	—
973	C₂×#107	—	13	1	no	—
974	C₂×#106	—	13	1	no	—
975	C₂×#106	—	13	1	no	—
976	C₂×#103	—	13	1	no	—
977	C₂×#103	—	13	1	no	—
978	C₂×#103	—	13	1	no	—
979	C₂×#103	—	13	1	no	—
980	C₂×#103	—	13	1	no	—
981	C₂×#103	—	13	1	no	—
982	C₂×#102	—	13	1	no	—
983	C₂×#102	—	13	1	no	—
984	#405	—	13	1	no	—
985	#405	—	13	1	no	—
986	#405	—	13	1	no	—
987	#405	—	13	1	no	—
988	#405	—	13	1	no	—
989	#405	—	13	1	no	—
990	#405	—	13	1	no	—
991	#405	C₂×D₁₃	1	1	yes	characteristic, complemented
992	C₂×#97	—	13	1	no	—
993	C₂×#97	—	13	1	no	—
994	C₂×C₄×C₈	—	13	1	no	—
995	C₂×C₄×C₈	—	13	1	no	—
996	C₂²×C₁₃	—	2	1	no	—
997	C₂²×C₁₃	—	2	1	no	—
998	C₂²×C₁₃	—	2	1	no	—
999	C₂²×C₁₃	—	4	1	no	—
1000	C₂²×C₁₃	—	4	1	no	—
1001	C₂²×C₁₃	—	4	1	no	—
1002	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1003	C₂×D₁₃	—	2	1	no	—
1004	C₂×D₁₃	—	2	1	no	—
1005	C₂×D₁₃	—	2	1	no	—
1006	C₂×D₁₃	—	4	4	no	—
1007	C₂×D₁₃	—	4	1	no	—
1008	C₂×D₁₃	—	4	1	no	—
1009	C₂×D₁₃	—	4	1	no	—
1010	C₂×D₁₃	—	8	4	no	—
1011	C₂×D₁₃	#532	1	2	yes	—
1012	C₂×D₁₃	#577	1	2	yes	—
1013	C₂×D₁₃	#578	1	2	yes	—
1014	C₄×C₁₃	—	2	1	no	—
1015	C₄×C₁₃	—	2	1	no	—
1016	C₄×C₁₃	—	2	1	no	—
1017	C₄×C₁₃	—	2	1	no	—
1018	C₄×C₁₃	—	2	1	no	—
1019	C₄×C₁₃	—	4	1	no	—
1020	C₄×C₁₃	—	4	1	no	—
1021	C₄×C₁₃	—	4	1	no	—
1022	C₄×C₁₃	—	4	1	no	—
1023	C₄×C₁₃	—	4	1	no	—
1024	C₄×C₁₃	—	4	1	no	—
1025	C₄×C₁₃	—	4	1	no	—
1026	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1027	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1028	Dic₁₃	—	2	1	no	—
1029	Dic₁₃	—	2	1	no	—
1030	Dic₁₃	—	2	1	no	—
1031	Dic₁₃	—	2	1	no	—
1032	Dic₁₃	—	2	1	no	—
1033	Dic₁₃	—	4	1	no	—
1034	Dic₁₃	—	4	1	no	—
1035	Dic₁₃	—	4	1	no	—
1036	Dic₁₃	—	4	1	no	—
1037	Dic₁₃	—	4	1	no	—
1038	Dic₁₃	—	4	1	no	—
1039	Dic₁₃	—	4	1	no	—
1040	Dic₁₃	#532	1	2	yes	—
1041	C₂²×Q₈	—	13	1	no	—
1042	C₂²×Q₈	—	13	1	no	—
1043	C₂²×Q₈	—	13	1	no	—
1044	C₂²×Q₈	—	26	1	no	—
1045	C₂²×D₄	—	13	1	no	—
1046	C₂²×D₄	—	26	1	no	—
1047	C₂³×C₄	—	13	1	no	—
1048	C₂³×C₄	—	26	1	no	—
1049	C₂×Q₁₆	—	13	1	no	—
1050	C₂×Q₁₆	—	13	1	no	—
1051	C₂×Q₁₆	—	13	1	no	—
1052	C₂×Q₁₆	—	13	1	no	—
1053	C₂×Q₁₆	—	13	1	no	—
1054	C₂×Q₁₆	—	13	1	no	—
1055	C₂×Q₁₆	—	26	4	no	—
1056	C₂×Q₁₆	—	26	4	no	—
1057	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1058	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1059	C₂×SD₁₆	—	13	1	no	—
1060	C₂×SD₁₆	—	13	1	no	—
1061	C₂×SD₁₆	—	13	1	no	—
1062	C₂×SD₁₆	—	13	1	no	—
1063	C₂×SD₁₆	—	13	1	no	—
1064	C₂×SD₁₆	—	13	1	no	—
1065	C₂×SD₁₆	—	26	4	no	—
1066	C₂×SD₁₆	—	26	4	no	—
1067	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1068	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1069	C₂×M₁₆	—	13	1	no	—
1070	C₂×M₁₆	—	13	1	no	—
1071	C₂×M₁₆	—	13	1	no	—
1072	C₂×M₁₆	—	26	4	no	—
1073	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1074	C₂²×C₈	—	13	1	no	—
1075	C₂²×C₈	—	13	1	no	—
1076	C₂²×C₈	—	13	1	no	—
1077	C₂²×C₈	—	13	1	no	—
1078	C₂²×C₈	—	13	1	no	—
1079	C₂²×C₈	—	13	1	no	—
1080	C₂²×C₈	—	13	1	no	—
1081	C₂²×C₈	—	26	4	no	—
1082	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1083	C₄⋊Q₈	—	13	1	no	—
1084	C₄⋊Q₈	—	13	1	no	—
1085	C₄⋊Q₈	—	13	1	no	—
1086	C₄⋊Q₈	—	13	1	no	—
1087	C₄⋊Q₈	—	13	1	no	—
1088	C₄⋊Q₈	—	13	1	no	—
1089	C₄⋊Q₈	—	26	1	no	—
1090	C₄⋊Q₈	—	26	1	no	—
1091	C₄⋊Q₈	—	26	1	no	—
1092	C₄⋊Q₈	—	26	1	no	—
1093	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1094	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1095	#126	—	2	1	no	—
1096	#126	—	2	1	no	—
1097	#126	—	2	1	no	—
1098	#126	—	26	1	no	—
1099	#126	—	26	1	no	—
1100	#126	—	26	1	no	—
1101	#126	—	26	1	no	—
1102	#126	—	26	1	no	—
1103	#126	—	26	1	no	—
1104	#126	—	26	1	no	—
1105	#126	—	26	1	no	—
1106	#126	—	26	1	no	—
1107	#126	—	26	1	no	—
1108	#126	—	26	1	no	—
1109	#126	—	26	1	no	—
1110	#126	—	26	1	no	—
1111	#126	—	26	1	no	—
1112	#126	—	26	1	no	—
1113	#126	—	26	1	no	—
1114	#126	—	26	1	no	—
1115	#126	—	26	1	no	—
1116	#126	—	26	1	no	—
1117	#126	—	26	1	no	—
1118	#126	—	26	1	no	—
1119	#125	—	2	1	no	—
1120	#125	—	2	1	no	—
1121	#125	—	13	1	no	—
1122	#125	—	13	1	no	—
1123	#125	—	13	1	no	—
1124	#125	—	26	1	no	—
1125	#125	—	26	1	no	—
1126	#125	—	26	1	no	—
1127	#125	—	26	1	no	—
1128	#125	—	26	1	no	—
1129	#125	—	26	1	no	—
1130	#125	—	26	1	no	—
1131	#125	—	26	1	no	—
1132	#125	—	26	1	no	—
1133	#125	—	26	1	no	—
1134	#125	—	26	1	no	—
1135	#125	—	26	1	no	—
1136	#125	—	26	1	no	—
1137	#125	—	26	1	no	—
1138	#125	—	26	1	no	—
1139	#125	—	26	1	no	—
1140	#125	C₂²×D₁₃	1	1	yes	characteristic
1141	#124	—	2	1	no	—
1142	#124	—	13	1	no	—
1143	#124	—	13	1	no	—
1144	#124	—	13	1	no	—
1145	#124	—	26	1	no	—
1146	#124	—	26	1	no	—
1147	#124	—	26	1	no	—
1148	#124	—	26	1	no	—
1149	#124	—	26	1	no	—
1150	#124	—	26	1	no	—
1151	#124	—	26	1	no	—
1152	#124	—	26	1	no	—
1153	#124	—	26	1	no	—
1154	#124	C₂²×D₁₃	1	1	yes	characteristic
1155	#123	—	2	1	no	—
1156	#123	—	26	1	no	—
1157	#123	—	26	1	no	—
1158	#123	—	26	1	no	—
1159	#123	—	26	1	no	—
1160	#123	—	26	1	no	—
1161	#123	—	26	1	no	—
1162	#123	—	26	1	no	—
1163	C₂²⋊Q₈	—	2	1	no	—
1164	C₂²⋊Q₈	—	13	1	no	—
1165	C₂²⋊Q₈	—	13	1	no	—
1166	C₂²⋊Q₈	—	13	1	no	—
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	—	26	1	no	—
1176	C₂²⋊Q₈	—	26	1	no	—
1177	C₂²⋊Q₈	—	26	1	no	—
1178	C₂²⋊Q₈	—	26	1	no	—
1179	C₂²⋊Q₈	—	26	1	no	—
1180	C₂²⋊Q₈	—	26	1	no	—
1181	C₂²⋊Q₈	—	26	1	no	—
1182	C₂²⋊Q₈	—	26	1	no	—
1183	C₂²⋊Q₈	—	26	1	no	—
1184	C₂²⋊Q₈	—	26	1	no	—
1185	C₂²⋊Q₈	—	26	1	no	—
1186	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1187	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1188	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1189	#121	—	13	1	no	—
1190	#121	—	13	1	no	—
1191	#121	—	13	1	no	—
1192	#121	—	26	1	no	—
1193	#121	—	26	1	no	—
1194	#121	C₂²×D₁₃	1	1	yes	characteristic
1195	C₄×Q₈	—	13	1	no	—
1196	C₄×Q₈	—	13	1	no	—
1197	C₄×Q₈	—	13	1	no	—
1198	C₄×Q₈	—	13	1	no	—
1199	C₄×Q₈	—	13	1	no	—
1200	C₄×Q₈	—	13	1	no	—
1201	C₄×Q₈	—	13	1	no	—
1202	C₄×Q₈	—	13	1	no	—
1203	C₄×Q₈	—	13	1	no	—
1204	C₄×Q₈	—	26	1	no	—
1205	C₄×Q₈	—	26	1	no	—
1206	C₄×Q₈	—	26	1	no	—
1207	C₄×Q₈	—	26	1	no	—
1208	C₄×Q₈	—	26	1	no	—
1209	C₄×Q₈	—	26	1	no	—
1210	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1211	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1212	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1213	C₄×D₄	—	13	1	no	—
1214	C₄×D₄	—	13	1	no	—
1215	C₄×D₄	—	13	1	no	—
1216	C₄×D₄	—	26	1	no	—
1217	C₄×D₄	—	26	1	no	—
1218	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1219	#117	—	13	1	no	—
1220	#117	—	13	1	no	—
1221	#117	—	13	1	no	—
1222	#117	—	13	1	no	—
1223	#117	—	13	1	no	—
1224	#117	—	13	1	no	—
1225	#117	—	13	1	no	—
1226	#117	C₂²×D₁₃	1	1	yes	characteristic
1227	C₂×C₄⋊C₄	—	13	1	no	—
1228	C₂×C₄⋊C₄	—	13	1	no	—
1229	C₂×C₄⋊C₄	—	13	1	no	—
1230	C₂×C₄⋊C₄	—	13	1	no	—
1231	C₂×C₄⋊C₄	—	13	1	no	—
1232	C₂×C₄⋊C₄	—	13	1	no	—
1233	C₂×C₄⋊C₄	—	26	1	no	—
1234	C₂×C₄⋊C₄	—	26	1	no	—
1235	C₂×C₄⋊C₄	—	26	1	no	—
1236	C₂×C₄⋊C₄	—	26	1	no	—
1237	C₂×C₄⋊C₄	—	26	1	no	—
1238	C₂×C₄⋊C₄	—	26	1	no	—
1239	C₂×C₄⋊C₄	—	26	1	no	—
1240	C₂×C₄⋊C₄	—	26	1	no	—
1241	C₂×C₄⋊C₄	—	26	1	no	—
1242	C₂×C₄⋊C₄	—	26	1	no	—
1243	C₂×C₄⋊C₄	—	26	1	no	—
1244	C₂×C₂²⋊C₄	—	13	1	no	—
1245	C₂×C₂²⋊C₄	—	13	1	no	—
1246	C₂×C₂²⋊C₄	—	26	1	no	—
1247	C₂×C₂²⋊C₄	—	26	1	no	—
1248	C₂×C₂²⋊C₄	—	26	1	no	—
1249	C₂×C₂²⋊C₄	—	26	1	no	—
1250	C₂×C₂²⋊C₄	—	26	1	no	—
1251	C₂×C₂²⋊C₄	—	26	1	no	—
1252	C₂×C₂²⋊C₄	—	26	1	no	—
1253	C₂×C₄²	—	13	1	no	—
1254	C₂×C₄²	—	13	1	no	—
1255	C₂×C₄²	—	26	1	no	—
1256	C₂×C₄²	—	26	1	no	—
1257	C₂×C₄²	—	26	1	no	—
1258	#107	—	13	1	no	—
1259	#107	—	13	1	no	—
1260	#107	—	13	1	no	—
1261	#107	—	13	1	no	—
1262	#107	—	13	1	no	—
1263	#107	—	13	1	no	—
1264	#107	C₂²×D₁₃	1	1	yes	characteristic
1265	#107	C₂²×D₁₃	1	1	yes	characteristic
1266	#106	—	13	1	no	—
1267	#106	—	13	1	no	—
1268	#106	—	13	1	no	—
1269	#106	—	13	1	no	—
1270	#106	—	13	1	no	—
1271	#106	—	13	1	no	—
1272	#106	C₂²×D₁₃	1	1	yes	characteristic
1273	#106	C₂²×D₁₃	1	1	yes	characteristic
1274	#103	—	13	1	no	—
1275	#103	—	13	1	no	—
1276	#103	—	13	1	no	—
1277	#103	—	13	1	no	—
1278	#103	—	13	1	no	—
1279	#103	—	13	1	no	—
1280	#103	—	13	1	no	—
1281	#103	—	13	1	no	—
1282	#103	—	13	1	no	—
1283	#103	—	13	1	no	—
1284	#103	—	13	1	no	—
1285	#103	—	13	1	no	—
1286	#103	—	13	1	no	—
1287	#103	—	13	1	no	—
1288	#103	—	13	1	no	—
1289	#103	—	13	1	no	—
1290	#103	—	13	1	no	—
1291	#103	—	13	1	no	—
1292	#103	C₂²×D₁₃	1	1	yes	characteristic
1293	#103	C₂²×D₁₃	1	1	yes	characteristic
1294	#103	C₂²×D₁₃	1	1	yes	characteristic
1295	#103	C₂²×D₁₃	1	1	yes	characteristic
1296	#103	C₂²×D₁₃	1	1	yes	characteristic
1297	#103	C₂²×D₁₃	1	1	yes	characteristic
1298	#102	—	13	1	no	—
1299	#102	—	13	1	no	—
1300	#102	—	13	1	no	—
1301	#102	—	13	1	no	—
1302	#102	—	13	1	no	—
1303	#102	—	13	1	no	—
1304	#102	C₂²×D₁₃	1	1	yes	characteristic
1305	#102	C₂²×D₁₃	1	1	yes	characteristic
1306	#97	—	13	1	no	—
1307	#97	—	13	1	no	—
1308	#97	—	13	1	no	—
1309	#97	—	13	1	no	—
1310	#97	—	13	1	no	—
1311	#97	—	13	1	no	—
1312	#97	C₂²×D₁₃	1	1	yes	characteristic
1313	#97	C₂²×D₁₃	1	1	yes	characteristic
1314	C₄×C₈	—	13	1	no	—
1315	C₄×C₈	—	13	1	no	—
1316	C₄×C₈	—	13	1	no	—
1317	C₄×C₈	—	13	1	no	—
1318	C₄×C₈	—	13	1	no	—
1319	C₄×C₈	—	13	1	no	—
1320	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1321	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1322	C₂×C₁₃	—	4	1	no	—
1323	C₂×C₁₃	—	8	1	no	—
1324	C₂×C₁₃	C₂×#532	1	1	yes	characteristic
1325	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1326	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
1327	D₁₃	—	4	1	no	—
1328	D₁₃	—	8	1	no	—
1329	D₁₃	#3178	1	4	yes	direct product factor
1330	C₂⁴	—	13	1	no	—
1331	C₂⁴	—	26	1	no	—
1332	C₂×Q₈	—	2	1	no	—
1333	C₂×Q₈	—	13	1	no	—
1334	C₂×Q₈	—	13	1	no	—
1335	C₂×Q₈	—	13	1	no	—
1336	C₂×Q₈	—	26	1	no	—
1337	C₂×Q₈	—	26	1	no	—
1338	C₂×Q₈	—	26	1	no	—
1339	C₂×Q₈	—	26	1	no	—
1340	C₂×Q₈	—	26	1	no	—
1341	C₂×Q₈	—	26	2	no	—
1342	C₂×Q₈	—	26	2	no	—
1343	C₂×Q₈	—	26	2	no	—
1344	C₂×Q₈	—	26	2	no	—
1345	C₂×Q₈	—	26	2	no	—
1346	C₂×Q₈	—	26	2	no	—
1347	C₂×Q₈	—	26	1	no	—
1348	C₂×Q₈	—	104	2	no	—
1349	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1350	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1351	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	13	1	no	—
1354	C₂×D₄	—	26	1	no	—
1355	C₂×D₄	—	26	2	no	—
1356	C₂×D₄	—	26	2	no	—
1357	C₂×D₄	—	26	1	no	—
1358	C₂×D₄	—	26	1	no	—
1359	C₂×D₄	—	26	1	no	—
1360	C₂×D₄	—	104	2	no	—
1361	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	13	1	no	—
1364	C₂²×C₄	—	13	1	no	—
1365	C₂²×C₄	—	13	1	no	—
1366	C₂²×C₄	—	13	1	no	—
1367	C₂²×C₄	—	13	1	no	—
1368	C₂²×C₄	—	13	1	no	—
1369	C₂²×C₄	—	13	1	no	—
1370	C₂²×C₄	—	13	1	no	—
1371	C₂²×C₄	—	13	1	no	—
1372	C₂²×C₄	—	26	2	no	—
1373	C₂²×C₄	—	26	2	no	—
1374	C₂²×C₄	—	26	1	no	—
1375	C₂²×C₄	—	26	1	no	—
1376	C₂²×C₄	—	26	1	no	—
1377	C₂²×C₄	—	26	1	no	—
1378	C₂²×C₄	—	26	1	no	—
1379	C₂²×C₄	—	26	1	no	—
1380	C₂²×C₄	—	26	1	no	—
1381	C₂²×C₄	—	26	1	no	—
1382	C₂²×C₄	—	26	1	no	—
1383	C₂²×C₄	—	26	1	no	—
1384	C₂²×C₄	—	104	2	no	—
1385	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1386	Q₁₆	—	2	2	no	—
1387	Q₁₆	—	2	2	no	—
1388	Q₁₆	—	26	2	no	—
1389	Q₁₆	—	26	2	no	—
1390	Q₁₆	—	26	2	no	—
1391	Q₁₆	—	26	2	no	—
1392	Q₁₆	—	26	2	no	—
1393	Q₁₆	—	26	2	no	—
1394	SD₁₆	—	2	2	no	—
1395	SD₁₆	—	2	2	no	—
1396	SD₁₆	—	26	2	no	—
1397	SD₁₆	—	26	2	no	—
1398	SD₁₆	—	26	2	no	—
1399	SD₁₆	—	26	2	no	—
1400	SD₁₆	—	26	2	no	—
1401	SD₁₆	—	26	2	no	—
1402	M₁₆	—	2	2	no	—
1403	M₁₆	—	26	2	no	—
1404	M₁₆	—	26	2	no	—
1405	M₁₆	—	26	2	no	—
1406	C₂×C₈	—	2	2	no	—
1407	C₂×C₈	—	13	1	no	—
1408	C₂×C₈	—	13	1	no	—
1409	C₂×C₈	—	13	4	no	—
1410	C₂×C₈	—	13	4	no	—
1411	C₂×C₈	—	13	1	no	—
1412	C₂×C₈	—	13	1	no	—
1413	C₂×C₈	—	26	2	no	—
1414	C₂×C₈	—	26	2	no	—
1415	C₂×C₈	—	26	2	no	—
1416	C₂×C₈	—	26	2	no	—
1417	C₂×C₈	—	26	2	no	—
1418	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1419	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1420	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1421	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	13	1	no	—
1434	C₄⋊C₄	—	13	1	no	—
1435	C₄⋊C₄	—	13	1	no	—
1436	C₄⋊C₄	—	13	1	no	—
1437	C₄⋊C₄	—	13	1	no	—
1438	C₄⋊C₄	—	13	1	no	—
1439	C₄⋊C₄	—	13	1	no	—
1440	C₄⋊C₄	—	13	1	no	—
1441	C₄⋊C₄	—	13	1	no	—
1442	C₄⋊C₄	—	13	1	no	—
1443	C₄⋊C₄	—	26	1	no	—
1444	C₄⋊C₄	—	26	1	no	—
1445	C₄⋊C₄	—	26	1	no	—
1446	C₄⋊C₄	—	26	1	no	—
1447	C₄⋊C₄	—	26	1	no	—
1448	C₄⋊C₄	—	26	1	no	—
1449	C₄⋊C₄	—	26	1	no	—
1450	C₄⋊C₄	—	26	1	no	—
1451	C₄⋊C₄	—	26	1	no	—
1452	C₄⋊C₄	—	26	1	no	—
1453	C₄⋊C₄	—	26	1	no	—
1454	C₄⋊C₄	—	26	1	no	—
1455	C₄⋊C₄	—	26	1	no	—
1456	C₄⋊C₄	—	26	1	no	—
1457	C₄⋊C₄	—	26	1	no	—
1458	C₄⋊C₄	—	26	1	no	—
1459	C₄⋊C₄	—	26	1	no	—
1460	C₄⋊C₄	—	26	1	no	—
1461	C₄⋊C₄	—	26	1	no	—
1462	C₄⋊C₄	—	26	1	no	—
1463	C₄⋊C₄	—	26	1	no	—
1464	C₄⋊C₄	—	26	1	no	—
1465	C₄⋊C₄	—	26	1	no	—
1466	C₄⋊C₄	—	26	1	no	—
1467	C₄⋊C₄	—	26	1	no	—
1468	C₄⋊C₄	—	26	1	no	—
1469	C₄⋊C₄	—	26	1	no	—
1470	C₄⋊C₄	—	26	1	no	—
1471	C₄⋊C₄	—	26	1	no	—
1472	C₄⋊C₄	—	26	1	no	—
1473	C₄⋊C₄	—	26	1	no	—
1474	C₄⋊C₄	—	26	1	no	—
1475	C₄⋊C₄	—	26	1	no	—
1476	C₄⋊C₄	—	26	1	no	—
1477	C₄⋊C₄	—	26	1	no	—
1478	C₄⋊C₄	—	26	1	no	—
1479	C₄⋊C₄	—	26	1	no	—
1480	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1481	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1482	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1483	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1484	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1485	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	13	1	no	—
1494	C₂²⋊C₄	—	13	1	no	—
1495	C₂²⋊C₄	—	13	1	no	—
1496	C₂²⋊C₄	—	13	1	no	—
1497	C₂²⋊C₄	—	13	1	no	—
1498	C₂²⋊C₄	—	13	1	no	—
1499	C₂²⋊C₄	—	26	1	no	—
1500	C₂²⋊C₄	—	26	1	no	—
1501	C₂²⋊C₄	—	26	1	no	—
1502	C₂²⋊C₄	—	26	1	no	—
1503	C₂²⋊C₄	—	26	1	no	—
1504	C₂²⋊C₄	—	26	1	no	—
1505	C₂²⋊C₄	—	26	1	no	—
1506	C₂²⋊C₄	—	26	1	no	—
1507	C₂²⋊C₄	—	26	1	no	—
1508	C₂²⋊C₄	—	26	1	no	—
1509	C₂²⋊C₄	—	26	1	no	—
1510	C₂²⋊C₄	—	26	1	no	—
1511	C₂²⋊C₄	—	26	1	no	—
1512	C₂²⋊C₄	—	26	1	no	—
1513	C₂²⋊C₄	—	26	1	no	—
1514	C₂²⋊C₄	—	26	1	no	—
1515	C₂²⋊C₄	—	26	1	no	—
1516	C₂²⋊C₄	—	26	1	no	—
1517	C₂²⋊C₄	—	26	1	no	—
1518	C₂²⋊C₄	—	26	1	no	—
1519	C₂²⋊C₄	—	26	1	no	—
1520	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1521	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1522	C₄²	—	2	1	no	—
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	1	no	—
1525	C₄²	—	13	1	no	—
1526	C₄²	—	13	1	no	—
1527	C₄²	—	13	1	no	—
1528	C₄²	—	13	1	no	—
1529	C₄²	—	13	1	no	—
1530	C₄²	—	13	1	no	—
1531	C₄²	—	26	1	no	—
1532	C₄²	—	26	1	no	—
1533	C₄²	—	26	1	no	—
1534	C₄²	—	26	1	no	—
1535	C₄²	—	26	1	no	—
1536	C₄²	—	26	1	no	—
1537	C₄²	—	26	1	no	—
1538	C₄²	—	26	1	no	—
1539	C₄²	—	26	1	no	—
1540	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1541	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1542	C₁₃	C₂×#3178	1	1	yes	characteristic, complemented, Sylow
1543	C₂³	—	2	1	no	—
1544	C₂³	—	13	1	no	—
1545	C₂³	—	13	1	no	—
1546	C₂³	—	26	2	no	—
1547	C₂³	—	26	2	no	—
1548	C₂³	—	26	2	no	—
1549	C₂³	—	26	1	no	—
1550	C₂³	—	52	2	no	—
1551	C₂³	—	52	2	no	—
1552	C₂³	—	52	2	no	—
1553	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1554	Q₈	—	2	1	no	—
1555	Q₈	—	2	1	no	—
1556	Q₈	—	2	1	no	—
1557	Q₈	—	2	1	no	—
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	8	1	no	—
1561	Q₈	—	26	1	no	—
1562	Q₈	—	26	1	no	—
1563	Q₈	—	26	1	no	—
1564	Q₈	—	26	1	no	—
1565	Q₈	—	26	1	no	—
1566	Q₈	—	26	1	no	—
1567	Q₈	—	52	2	no	—
1568	Q₈	—	52	2	no	—
1569	Q₈	—	52	2	no	—
1570	Q₈	—	104	1	no	—
1571	Q₈	—	104	1	no	—
1572	Q₈	—	104	1	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	26	1	no	—
1577	D₄	—	26	1	no	—
1578	D₄	—	52	2	no	—
1579	D₄	—	104	1	no	—
1580	D₄	—	104	1	no	—
1581	D₄	—	104	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	8	1	no	—
1592	C₂×C₄	—	13	1	no	—
1593	C₂×C₄	—	13	2	no	—
1594	C₂×C₄	—	13	2	no	—
1595	C₂×C₄	—	13	1	no	—
1596	C₂×C₄	—	13	1	no	—
1597	C₂×C₄	—	13	1	no	—
1598	C₂×C₄	—	13	1	no	—
1599	C₂×C₄	—	13	1	no	—
1600	C₂×C₄	—	26	2	no	—
1601	C₂×C₄	—	26	2	no	—
1602	C₂×C₄	—	26	2	no	—
1603	C₂×C₄	—	26	2	no	—
1604	C₂×C₄	—	26	2	no	—
1605	C₂×C₄	—	26	2	no	—
1606	C₂×C₄	—	26	2	no	—
1607	C₂×C₄	—	26	1	no	—
1608	C₂×C₄	—	26	1	no	—
1609	C₂×C₄	—	26	1	no	—
1610	C₂×C₄	—	26	1	no	—
1611	C₂×C₄	—	26	1	no	—
1612	C₂×C₄	—	26	1	no	—
1613	C₂×C₄	—	26	1	no	—
1614	C₂×C₄	—	26	1	no	—
1615	C₂×C₄	—	26	1	no	—
1616	C₂×C₄	—	52	2	no	—
1617	C₂×C₄	—	52	2	no	—
1618	C₂×C₄	—	52	2	no	—
1619	C₂×C₄	—	52	2	no	—
1620	C₂×C₄	—	52	2	no	—
1621	C₂×C₄	—	52	2	no	—
1622	C₂×C₄	—	52	2	no	—
1623	C₂×C₄	—	104	1	no	—
1624	C₂×C₄	—	104	1	no	—
1625	C₂×C₄	—	104	1	no	—
1626	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1627	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1628	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1629	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1630	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1631	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1632	C₈	—	2	1	no	—
1633	C₈	—	2	1	no	—
1634	C₈	—	13	2	no	—
1635	C₈	—	13	2	no	—
1636	C₈	—	26	1	no	—
1637	C₈	—	26	1	no	—
1638	C₈	#41×D₁₃	1	2	yes	—
1639	C₈	#41×D₁₃	1	2	yes	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	4	1	no	—
1644	C₂²	—	4	1	no	—
1645	C₂²	—	4	1	no	—
1646	C₂²	—	13	2	no	—
1647	C₂²	—	13	2	no	—
1648	C₂²	—	13	2	no	—
1649	C₂²	—	26	1	no	—
1650	C₂²	—	26	1	no	—
1651	C₂²	—	26	1	no	—
1652	C₂²	—	52	4	no	—
1653	C₂²	—	52	1	no	—
1654	C₂²	—	52	1	no	—
1655	C₂²	—	52	1	no	—
1656	C₂²	—	104	4	no	—
1657	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1658	C₄	—	2	1	no	—
1659	C₄	—	2	1	no	—
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	—	4	1	no	—
1670	C₄	—	13	2	no	—
1671	C₄	—	26	1	no	—
1672	C₄	—	26	1	no	—
1673	C₄	—	26	1	no	—
1674	C₄	—	26	1	no	—
1675	C₄	—	26	1	no	—
1676	C₄	—	52	1	no	—
1677	C₄	—	52	1	no	—
1678	C₄	—	52	1	no	—
1679	C₄	—	52	1	no	—
1680	C₄	—	52	1	no	—
1681	C₄	—	52	1	no	—
1682	C₄	—	52	1	no	—
1683	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1684	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1685	C₂	—	4	1	no	—
1686	C₂	—	8	1	no	—
1687	C₂	—	13	4	no	—
1688	C₂	—	52	1	no	—
1689	C₂	—	104	1	no	—
1690	C₂	D₁₃×#532	1	1	yes	characteristic
1691	C₂	D₁₃×#577	1	1	yes	characteristic
1692	C₂	D₁₃×#578	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×#3178	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	D₁₃×#121	C₂²
hypercenter	#3178	D₁₃
hypocenter	C₁₃	C₂×#3178
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3178

Complements

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

N	H ≅ G/N	type
2. D₁₃×#541	C₂	semidirect
3. #13125511	C₂	semidirect
4. #13125510	C₂	semidirect
5. #13125509	C₂	semidirect
6. #13125508	C₂	semidirect
7. #13125507	C₂	semidirect
8. #13125506	C₂	semidirect
9. #13125505	C₂	semidirect
10. #13125504	C₂	semidirect
11. #13125503	C₂	semidirect
12. #13125502	C₂	semidirect
13. #13125501	C₂	semidirect
14. #13125500	C₂	semidirect
15. #13125499	C₂	semidirect
16. #13125498	C₂	semidirect
17. #13125497	C₂	semidirect
18. D₁₃×#501	C₂	semidirect
19. D₁₃×#497	C₂	semidirect
20. D₁₃×#488	C₂	semidirect
21. D₁₃×#487	C₂	semidirect
22. D₁₃×#470	C₂	semidirect
24. D₁₃×#467	C₂	semidirect
26. D₁₃×#441	C₂	semidirect
27. D₁₃×#440	C₂	semidirect
28. C₄×Q₁₆×D₁₃	C₂	semidirect
29. C₄×SD₁₆×D₁₃	C₂	semidirect
30. D₁₃×#405	C₂	semidirect
31. C₁₃×#3178	C₂	semidirect
33. C₁₃×#541	C₂²	semidirect
41. #11719436	C₂²	semidirect
50. #11719402	C₂²	semidirect
68. #11719330	C₂²	semidirect
69. #11719330	C₂²	semidirect
72. #11719288	C₂²	semidirect
73. #11719288	C₂²	semidirect
82. #11719223	C₂²	semidirect
83. C₁₃×#501	C₂²	semidirect
84. C₁₃×#497	C₂²	semidirect
85. C₁₃×#488	C₂²	semidirect
86. C₁₃×#487	C₂²	semidirect
87. C₁₃×#470	C₂²	semidirect
89. C₁₃×#467	C₂²	semidirect
91. C₁₃×#441	C₂²	semidirect
92. C₁₃×#440	C₂²	semidirect
93. C₄×C₁₃×Q₁₆	C₂²	semidirect
94. C₄×C₁₃×SD₁₆	C₂²	semidirect
95. C₁₃×#405	C₂²	semidirect
96. #11718851	C₂²	semidirect
97. #11718851	C₂²	semidirect
98. #11718850	C₂²	semidirect
99. #11718849	C₂²	semidirect
100. #11718845	C₂²	semidirect
101. Q₁₆×Dic₁₃	C₂²	semidirect
104. #11718828	C₂²	semidirect
105. #11718828	C₂²	semidirect
106. #11718825	C₂²	semidirect
107. SD₁₆×Dic₁₃	C₂²	semidirect
108. #11718798	C₂²	semidirect
110. #11718783	C₂²	semidirect
111. #11718777	C₂²	semidirect
113. #11718762	C₂²	semidirect
114. #11718754	C₂²	semidirect
115. #11718747	C₂²	semidirect
116. #11718742	C₂²	semidirect
117. #11718741	C₂²	semidirect
118. #11718729	C₂²	semidirect
119. #11718726	C₂²	semidirect
120. #11718721	C₂²	semidirect
121. #11718717	C₂²	semidirect
122. #11718713	C₂²	semidirect
123. #11718713	C₂²	semidirect
124. #11718712	C₂²	semidirect
125. #11718712	C₂²	semidirect
130. #11718691	C₂²	semidirect
131. #11718691	C₂²	semidirect
132. C₄×#6107	C₂²	semidirect
133. C₄×#6107	C₂²	semidirect
134. #11718687	C₂²	semidirect
135. C₄×#6106	C₂²	semidirect
136. #11718679	C₂²	semidirect
137. C₄×#6105	C₂²	semidirect
138. #11718658	C₂²	semidirect
139. #11718550	C₂²	semidirect
140. #11718548	C₂²	semidirect
144. #11718537	C₂²	semidirect
145. #11718537	C₂²	semidirect
146. #11718534	C₂²	semidirect
147. #11718529	C₂²	semidirect
151. #11718517	C₂²	semidirect
152. #11718517	C₂²	semidirect
153. #11718514	C₂²	semidirect
154. #11718513	C₂²	semidirect
155. #11718478	C₂²	semidirect
156. #11718477	C₂²	semidirect
157. #11718477	C₂²	semidirect
158. #11718474	C₂²	semidirect
159. #11718474	C₂²	semidirect
168. #11718461	C₂²	semidirect
169. #11718461	C₂²	semidirect
170. #11718453	C₂²	semidirect
171. #11718453	C₂²	semidirect
172. #11718453	C₂²	semidirect
173. #11718453	C₂²	semidirect
174. #11718451	C₂²	semidirect
175. #11718451	C₂²	semidirect
176. #11718450	C₂²	semidirect
177. #11718450	C₂²	semidirect
178. #11718449	C₂²	semidirect
183. #11718429	C₂²	semidirect
184. #11718429	C₂²	semidirect
185. #11718419	C₂²	semidirect
186. #11718418	C₂²	semidirect
187. #11718377	C₂²	semidirect
188. #11718376	C₂²	semidirect
189. #11718371	C₂²	semidirect
190. #11718369	C₂²	semidirect
191. #11718369	C₂²	semidirect
194. #11718363	C₂²	semidirect
195. C₄×Dic₅₂	C₂²	semidirect
196. #11718358	C₂²	semidirect
197. C₄×#6095	C₂²	semidirect
198. #11718350	C₂²	semidirect
199. #11718350	C₂²	semidirect
202. #11718342	C₂²	semidirect
714. #3178	D₁₃	direct (N × H)
854. #541	C₂×D₁₃	semidirect
883. #501	C₂×D₁₃	semidirect
891. #497	C₂×D₁₃	semidirect
899. #488	C₂×D₁₃	semidirect
907. #487	C₂×D₁₃	semidirect
915. #470	C₂×D₁₃	semidirect
931. #467	C₂×D₁₃	semidirect
947. #441	C₂×D₁₃	semidirect
955. #440	C₂×D₁₃	semidirect
963. C₄×Q₁₆	C₂×D₁₃	semidirect
971. C₄×SD₁₆	C₂×D₁₃	semidirect
991. #405	C₂×D₁₃	semidirect
1329. D₁₃	#3178	direct (N × H)
1542. C₁₃	C₂×#3178	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#542	2
D₁₃×#541	2
#13125511	2
#13125510	2
#13125509	2
#13125508	2
#13125507	2
#13125506	2
#13125505	2
#13125504	2
#13125503	2
#13125502	2
#13125501	2
#13125500	2
#13125499	2
#13125498	2
#13125497	2
D₁₃×#501	2
D₁₃×#497	2
D₁₃×#488	2
D₁₃×#487	2
D₁₃×#470	2
D₁₃×#468	2
D₁₃×#467	2
D₁₃×#465	2
D₁₃×#441	2
D₁₃×#440	2
C₄×Q₁₆×D₁₃	2
C₄×SD₁₆×D₁₃	2
D₁₃×#405	2
C₁₃×#3178	2
C₂×#3178	13

Subgroups — D13×#3178 #16732779

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3178 #16732779