Subgroups — D₁₃×#3370 #16742660

Order 3328.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#559	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#554	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127596	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127595	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127594	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127593	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127592	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127591	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127590	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127589	C₂	1	1	yes	maximal, characteristic, complemented
11	#13127588	C₂	1	1	yes	maximal, characteristic, complemented
12	#13127587	C₂	1	1	yes	maximal, characteristic, complemented
13	#13127586	C₂	1	1	yes	maximal, characteristic, complemented
14	#13127585	C₂	1	1	yes	maximal, characteristic, complemented
15	#13127584	C₂	1	1	yes	maximal, characteristic, complemented
16	#13127583	C₂	1	1	yes	maximal, characteristic, complemented
17	#13127582	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#490	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#489	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#488	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#479	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#478	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#474	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#459	C₂	1	1	yes	maximal, characteristic
27	D₁₃×#446	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#442	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3370	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
34	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
35	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
36	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
37	#11719435	C₂²	1	1	yes	characteristic, complemented
38	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
39	D₁₃×#127	C₂²	1	1	yes	characteristic
40	#11719418	C₂²	1	1	yes	characteristic, complemented
41	#11719395	C₂²	1	1	yes	characteristic, complemented
42	#11719395	C₂²	1	1	yes	characteristic, complemented
43	D₁₃×#125	C₂²	1	1	yes	characteristic
44	D₁₃×#125	C₂²	1	1	yes	characteristic
45	#11719386	—	2	1	no	—
46	#11719386	C₂²	1	1	yes	characteristic, complemented
47	#11719386	C₂²	1	1	yes	characteristic, complemented
48	D₁₃×#124	—	2	1	no	—
49	D₁₃×#124	C₂²	1	1	yes	characteristic
50	D₁₃×#124	C₂²	1	1	yes	characteristic
51	#11719369	—	2	1	no	—
52	#11719369	—	2	1	no	—
53	D₁₃×#123	—	2	1	no	—
54	D₁₃×#123	—	2	1	no	—
55	#11719341	—	2	1	no	—
56	#11719341	—	2	1	no	—
57	#11719340	—	2	1	no	—
58	D₁₃×C₂²⋊Q₈	—	2	1	no	—
59	D₁₃×C₂²⋊Q₈	—	2	1	no	—
60	D₁₃×C₂²⋊Q₈	—	2	1	no	—
61	#11719290	C₂²	1	1	yes	characteristic, complemented
62	#11719290	C₂²	1	1	yes	characteristic, complemented
63	#11719284	C₂²	1	1	yes	characteristic, complemented
64	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
65	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
66	#11719264	—	2	1	no	—
67	#11719264	C₂²	1	1	yes	characteristic, complemented
68	#11719264	C₂²	1	1	yes	characteristic, complemented
69	C₄×D₄×D₁₃	—	2	1	no	—
70	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
71	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
72	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
73	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
74	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
75	#11719248	C₂²	1	1	yes	characteristic, complemented
76	#11719244	C₂²	1	1	yes	characteristic, complemented
77	#11719244	C₂²	1	1	yes	characteristic, complemented
78	#11719216	—	2	1	no	—
79	C₂×C₄⋊C₄×D₁₃	—	2	1	no	—
80	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#459	C₂²	1	1	yes	characteristic
89	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
93	#11718826	C₂²	1	1	yes	characteristic, complemented
94	#11718826	C₂²	1	1	yes	characteristic, complemented
95	#11718825	C₂²	1	1	yes	characteristic, complemented
96	#11718814	C₂²	1	1	yes	characteristic, complemented
97	#11718814	C₂²	1	1	yes	characteristic, complemented
98	#11718813	C₂²	1	1	yes	characteristic, complemented
99	#11718811	C₂²	1	1	yes	characteristic
100	#11718811	C₂²	1	1	yes	characteristic
101	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
102	#11718750	C₂²	1	1	yes	characteristic, complemented
103	#11718748	C₂²	1	1	yes	characteristic, complemented
104	#11718733	C₂²	1	1	yes	characteristic
105	#11718732	C₂²	1	1	yes	characteristic, complemented
106	#11718729	C₂²	1	1	yes	characteristic, complemented
107	#11718728	C₂²	1	1	yes	characteristic, complemented
108	#11718727	C₂²	1	1	yes	characteristic, complemented
109	#11718724	C₂²	1	1	yes	characteristic, complemented
110	#11718718	C₂²	1	1	yes	characteristic, complemented
111	#11718718	C₂²	1	1	yes	characteristic, complemented
112	#11718717	C₂²	1	1	yes	characteristic, complemented
113	#11718716	C₂²	1	1	yes	characteristic, complemented
114	#11718687	C₂²	1	1	yes	characteristic, complemented
115	#11718685	C₂²	1	1	yes	characteristic, complemented
116	#11718683	C₂²	1	1	yes	characteristic, complemented
117	#11718679	C₂²	1	1	yes	characteristic, complemented
118	#11718677	C₂²	1	1	yes	characteristic, complemented
119	#11718677	C₂²	1	1	yes	characteristic, complemented
120	#11718676	C₂²	1	1	yes	characteristic
121	#11718675	C₂²	1	1	yes	characteristic, complemented
122	#11718675	C₂²	1	1	yes	characteristic, complemented
123	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
124	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
125	#11718670	C₂²	1	1	yes	characteristic, complemented
126	#11718668	C₂²	1	1	yes	characteristic, complemented
127	#11718552	C₂²	1	1	yes	characteristic, complemented
128	#11718551	C₂²	1	1	yes	characteristic, complemented
129	#11718551	C₂²	1	1	yes	characteristic, complemented
130	#11718550	C₂²	1	1	yes	characteristic, complemented
131	D₁₃×#107	C₂²	1	1	yes	characteristic
132	D₁₃×#107	C₂²	1	1	yes	characteristic
133	#11718538	C₂²	1	1	yes	characteristic, complemented
134	#11718533	C₂²	1	1	yes	characteristic, complemented
135	#11718532	C₂²	1	1	yes	characteristic, complemented
136	#11718530	C₂²	1	1	yes	characteristic, complemented
137	D₁₃×#106	C₂²	1	1	yes	characteristic
138	#11718518	C₂²	1	1	yes	characteristic, complemented
139	#11718508	C₂²	1	1	yes	characteristic, complemented
140	#11718507	C₂²	1	1	yes	characteristic, complemented
141	#11718505	C₂²	1	1	yes	characteristic, complemented
142	#11718505	C₂²	1	1	yes	characteristic, complemented
143	#11718504	C₂²	1	1	yes	characteristic
144	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
145	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
146	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
147	#11718492	C₂²	1	1	yes	characteristic, complemented
148	#11718490	C₂²	1	1	yes	characteristic, complemented
149	#11718489	C₂²	1	1	yes	characteristic, complemented
150	#11718489	C₂²	1	1	yes	characteristic, complemented
151	#11718480	C₂²	1	1	yes	characteristic, complemented
152	#11718480	C₂²	1	1	yes	characteristic, complemented
153	#11718478	C₂²	1	1	yes	characteristic, complemented
154	D₁₃×#103	C₂²	1	1	yes	characteristic
155	D₁₃×#103	C₂²	1	1	yes	characteristic
156	D₁₃×#103	C₂²	1	1	yes	characteristic
157	#11718461	C₂²	1	1	yes	characteristic, complemented
158	#11718461	C₂²	1	1	yes	characteristic, complemented
159	#11718460	C₂²	1	1	yes	characteristic, complemented
160	#11718457	C₂²	1	1	yes	characteristic, complemented
161	#11718456	C₂²	1	1	yes	characteristic, complemented
162	#11718456	C₂²	1	1	yes	characteristic, complemented
163	#11718448	C₂²	1	1	yes	characteristic, complemented
164	#11718448	C₂²	1	1	yes	characteristic, complemented
165	#11718447	C₂²	1	1	yes	characteristic
166	#11718447	C₂²	1	1	yes	characteristic
167	#11718446	C₂²	1	1	yes	characteristic, complemented
168	#11718446	C₂²	1	1	yes	characteristic, complemented
169	D₁₃×#102	C₂²	1	1	yes	characteristic
170	D₁₃×#102	C₂²	1	1	yes	characteristic
171	D₁₃×#102	C₂²	1	1	yes	characteristic
172	D₁₃×#102	C₂²	1	1	yes	characteristic
173	D₁₃×#102	C₂²	1	1	yes	characteristic
174	D₁₃×#102	C₂²	1	1	yes	characteristic
175	D₁₃×#102	C₂²	1	1	yes	characteristic
176	#11718429	C₂²	1	1	yes	characteristic, complemented
177	#11718429	C₂²	1	1	yes	characteristic, complemented
178	#11718427	C₂²	1	1	yes	characteristic, complemented
179	#11718426	C₂²	1	1	yes	characteristic, complemented
180	#11718426	C₂²	1	1	yes	characteristic, complemented
181	#11718425	C₂²	1	1	yes	characteristic, complemented
182	#11718425	C₂²	1	1	yes	characteristic, complemented
183	#11718425	C₂²	1	1	yes	characteristic, complemented
184	#11718425	C₂²	1	1	yes	characteristic, complemented
185	#11718424	C₂²	1	1	yes	characteristic, complemented
186	#11718420	C₂²	1	1	yes	characteristic, complemented
187	#11718420	C₂²	1	1	yes	characteristic, complemented
188	#11718418	C₂²	1	1	yes	characteristic, complemented
189	#11718417	C₂²	1	1	yes	characteristic, complemented
190	#11718417	C₂²	1	1	yes	characteristic, complemented
191	#11718375	C₂²	1	1	yes	characteristic, complemented
192	#11718374	C₂²	1	1	yes	characteristic, complemented
193	#11718372	C₂²	1	1	yes	characteristic, complemented
194	#11718371	C₂²	1	1	yes	characteristic, complemented
195	D₁₃×#97	C₂²	1	1	yes	characteristic
196	D₁₃×#97	C₂²	1	1	yes	characteristic
197	#11718362	C₂²	1	1	yes	characteristic, complemented
198	#11718362	C₂²	1	1	yes	characteristic, complemented
199	#11718358	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
201	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
202	#11718340	C₂²	1	1	yes	characteristic, complemented
203	C₂×Q₈×D₁₃	—	2	1	no	—
204	C₂×Q₈×D₁₃	D₄	1	1	yes	characteristic
205	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
206	C₂×D₄×D₁₃	—	2	1	no	—
207	C₂×D₄×D₁₃	—	2	1	no	—
208	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	—	2	1	no	—
212	C₂²×C₄×D₁₃	—	2	1	no	—
213	C₂²×C₄×D₁₃	—	2	1	no	—
214	C₂²×C₄×D₁₃	—	2	1	no	—
215	C₂²×C₄×D₁₃	—	2	1	no	—
216	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
219	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₁₃×#127	C₂³	1	1	yes	characteristic
221	C₁₃×#125	C₂³	1	1	yes	characteristic
222	C₁₃×#125	C₂³	1	1	yes	characteristic
223	C₁₃×#124	—	2	1	no	—
224	C₁₃×#124	C₂³	1	1	yes	characteristic
225	C₁₃×#124	C₂³	1	1	yes	characteristic
226	C₁₃×#123	—	2	1	no	—
227	C₁₃×#123	—	2	1	no	—
228	C₁₃×C₂²⋊Q₈	—	2	1	no	—
229	C₁₃×C₂²⋊Q₈	—	2	1	no	—
230	C₁₃×C₂²⋊Q₈	—	2	1	no	—
231	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
240	#88201	—	2	1	no	—
241	#88201	C₂³	1	1	yes	characteristic
242	#88201	C₂³	1	1	yes	characteristic
243	#88200	—	2	1	no	—
244	#88200	—	2	1	no	—
245	#88200	—	2	1	no	—
246	Q₈×Dic₁₃	D₄	1	1	yes	characteristic
247	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
248	#88198	—	2	1	no	—
249	C₂×#6106	C₂³	1	1	yes	characteristic
250	#88194	—	2	1	no	—
251	#88194	—	2	1	no	—
252	#88194	C₂³	1	1	yes	characteristic
253	#88194	C₂³	1	1	yes	characteristic
254	#88190	—	2	1	no	—
255	#88190	C₂³	1	1	yes	characteristic
256	#88190	C₂³	1	1	yes	characteristic
257	#88189	—	2	1	no	—
258	#88189	—	2	1	no	—
259	D₄×Dic₁₃	—	2	1	no	—
260	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
261	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
262	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
263	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
264	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
265	C₂×#6105	C₂³	1	1	yes	characteristic
266	C₂×#6104	C₂³	1	1	yes	characteristic
267	C₂×#6104	C₂³	1	1	yes	characteristic
268	C₂×#6104	C₂³	1	1	yes	characteristic
269	C₂×#6104	C₂³	1	1	yes	characteristic
270	#88183	—	2	1	no	—
271	#88183	—	2	1	no	—
272	C₄×C₂²⋊D₁₃	—	2	1	no	—
273	C₄×C₂²⋊D₁₃	—	2	1	no	—
274	C₄×C₂²⋊D₁₃	—	2	1	no	—
275	C₄×C₂²⋊D₁₃	—	2	1	no	—
276	C₄×C₂²⋊D₁₃	—	2	1	no	—
277	C₄×C₂²⋊D₁₃	—	2	1	no	—
278	C₄×C₂²⋊D₁₃	—	2	1	no	—
279	C₂×C₄⋊Dic₁₃	—	2	1	no	—
280	#88178	—	2	1	no	—
281	#88178	—	2	1	no	—
282	#88178	—	2	1	no	—
283	C₂×#6101	—	2	1	no	—
284	C₂×#6101	—	2	1	no	—
285	SD₁₆×D₁₃	—	2	4	no	—
286	D₈×D₁₃	—	2	4	no	—
287	D₈×D₁₃	—	2	4	no	—
288	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
289	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
290	C₂×#6095	C₂³	1	1	yes	characteristic
291	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
295	#88151	—	2	1	no	—
296	#88151	—	2	1	no	—
297	#88151	—	2	1	no	—
298	#88150	—	2	1	no	—
299	#88150	—	2	1	no	—
300	#88150	—	2	1	no	—
301	#88150	—	2	1	no	—
302	#88150	—	2	1	no	—
303	#88150	—	2	1	no	—
304	#88148	—	2	1	no	—
305	#88148	—	2	1	no	—
306	#88148	—	2	1	no	—
307	#88148	—	2	1	no	—
308	#88147	—	2	1	no	—
309	#88147	C₂³	1	1	yes	characteristic
310	#88147	C₂³	1	1	yes	characteristic
311	#88147	C₂³	1	1	yes	characteristic
312	#88147	C₂³	1	1	yes	characteristic
313	#88147	C₂³	1	1	yes	characteristic
314	C₄⋊C₄×D₁₃	—	2	1	no	—
315	C₄⋊C₄×D₁₃	—	2	1	no	—
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	D₄	1	1	yes	characteristic
325	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
326	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
327	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
328	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
329	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
330	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
331	#88144	C₂³	1	1	yes	characteristic
332	#88144	C₂³	1	1	yes	characteristic
333	#88144	C₂³	1	1	yes	characteristic
334	#88144	C₂³	1	1	yes	characteristic
335	#88143	—	2	1	no	—
336	#88143	—	2	1	no	—
337	#88143	—	2	1	no	—
338	#88143	—	2	1	no	—
339	#88142	—	2	1	no	—
340	#88142	C₂³	1	1	yes	characteristic
341	#88142	C₂³	1	1	yes	characteristic
342	#88141	—	2	1	no	—
343	#88141	D₄	1	1	yes	characteristic
344	#88141	D₄	1	1	yes	characteristic
345	#88141	D₄	1	1	yes	characteristic
346	#88141	C₂³	1	1	yes	characteristic
347	#88140	—	2	1	no	—
348	#88140	—	2	1	no	—
349	#88139	—	2	1	no	—
350	#88139	—	2	1	no	—
351	#88139	—	2	1	no	—
352	#88139	—	2	1	no	—
353	#88139	—	2	1	no	—
354	#88139	—	2	1	no	—
355	#88139	—	2	1	no	—
356	#88139	—	2	1	no	—
357	#88137	—	2	1	no	—
358	#88137	—	2	1	no	—
359	#88137	—	2	1	no	—
360	#88137	—	2	1	no	—
361	#88135	—	2	1	no	—
362	#88135	—	2	1	no	—
363	#88135	—	2	1	no	—
364	#88135	—	2	1	no	—
365	#88135	—	2	1	no	—
366	#88135	—	2	1	no	—
367	#88135	—	2	1	no	—
368	C₂²⋊C₄×D₁₃	—	2	1	no	—
369	C₂²⋊C₄×D₁₃	—	2	1	no	—
370	C₂²⋊C₄×D₁₃	—	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	#88132	—	2	1	no	—
378	#88132	—	2	1	no	—
379	#88132	—	2	1	no	—
380	#88132	—	2	1	no	—
381	#88132	—	2	1	no	—
382	#88132	—	2	1	no	—
383	#88129	—	2	1	no	—
384	#88129	C₂³	1	1	yes	characteristic
385	#88129	C₂³	1	1	yes	characteristic
386	#88128	C₂³	1	1	yes	characteristic
387	C₄×D₅₂	—	2	1	no	—
388	C₄×D₅₂	C₂³	1	1	yes	characteristic
389	C₄×D₅₂	C₂³	1	1	yes	characteristic
390	C₄×D₅₂	C₂³	1	1	yes	characteristic
391	C₄×D₅₂	C₂³	1	1	yes	characteristic
392	C₄×D₅₂	C₂³	1	1	yes	characteristic
393	C₄²×D₁₃	—	2	1	no	—
394	C₄²×D₁₃	C₂³	1	1	yes	characteristic
395	C₄²×D₁₃	C₂³	1	1	yes	characteristic
396	C₄²×D₁₃	C₂³	1	1	yes	characteristic
397	#88124	C₂³	1	1	yes	characteristic
398	#88124	C₂³	1	1	yes	characteristic
399	#88123	C₂³	1	1	yes	characteristic
400	C₄×Dic₂₆	—	2	1	no	—
401	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
402	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
403	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
404	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
405	C₁₃×#107	C₂³	1	1	yes	characteristic
406	C₁₃×#107	C₂³	1	1	yes	characteristic
407	C₁₃×#106	C₂³	1	1	yes	characteristic
408	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
409	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₁₃×#103	C₂³	1	1	yes	characteristic
412	C₁₃×#103	C₂³	1	1	yes	characteristic
413	C₁₃×#103	C₂³	1	1	yes	characteristic
414	C₁₃×#102	C₂³	1	1	yes	characteristic
415	C₁₃×#102	C₂³	1	1	yes	characteristic
416	C₁₃×#102	C₂³	1	1	yes	characteristic
417	C₁₃×#102	C₂³	1	1	yes	characteristic
418	C₁₃×#102	C₂³	1	1	yes	characteristic
419	C₁₃×#102	C₂³	1	1	yes	characteristic
420	C₁₃×#102	C₂³	1	1	yes	characteristic
421	C₁₃×#97	C₂³	1	1	yes	characteristic
422	C₁₃×#97	C₂³	1	1	yes	characteristic
423	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
424	#88075	C₂³	1	1	yes	characteristic
425	#88075	C₂³	1	1	yes	characteristic
426	#88075	C₂³	1	1	yes	characteristic
427	#88072	C₂³	1	1	yes	characteristic
428	#88072	C₂³	1	1	yes	characteristic
429	#88072	C₂³	1	1	yes	characteristic
430	#88072	C₂³	1	1	yes	characteristic
431	#88072	C₂³	1	1	yes	characteristic
432	#88072	C₂³	1	1	yes	characteristic
433	#88072	C₂³	1	1	yes	characteristic
434	#88061	C₂³	1	1	yes	characteristic
435	#88061	C₂³	1	1	yes	characteristic
436	#88061	C₂³	1	1	yes	characteristic
437	#88061	C₂³	1	1	yes	characteristic
438	#88061	C₂³	1	1	yes	characteristic
439	#88061	C₂³	1	1	yes	characteristic
440	#88061	C₂³	1	1	yes	characteristic
441	#88058	C₂³	1	1	yes	characteristic
442	#88058	C₂³	1	1	yes	characteristic
443	#88057	C₂³	1	1	yes	characteristic
444	#88056	C₂³	1	1	yes	characteristic
445	#88056	C₂³	1	1	yes	characteristic
446	#88056	C₂³	1	1	yes	characteristic
447	#88055	C₂³	1	1	yes	characteristic
448	#88055	C₂³	1	1	yes	characteristic
449	#88055	C₂³	1	1	yes	characteristic
450	#88055	C₂³	1	1	yes	characteristic
451	#88054	C₂³	1	1	yes	characteristic
452	#88054	C₂³	1	1	yes	characteristic
453	#88054	C₂³	1	1	yes	characteristic
454	#88054	C₂³	1	1	yes	characteristic
455	#88054	C₂³	1	1	yes	characteristic
456	#88054	C₂³	1	1	yes	characteristic
457	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
458	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
459	#88050	C₂³	1	1	yes	characteristic
460	#88050	C₂³	1	1	yes	characteristic
461	#88050	C₂³	1	1	yes	characteristic
462	#88049	C₂³	1	1	yes	characteristic
463	#88049	C₂³	1	1	yes	characteristic
464	#88049	C₂³	1	1	yes	characteristic
465	#88049	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88048	C₂³	1	1	yes	characteristic
470	#88048	C₂³	1	1	yes	characteristic
471	#88047	C₂³	1	1	yes	characteristic
472	#88047	C₂³	1	1	yes	characteristic
473	#88047	C₂³	1	1	yes	characteristic
474	#88047	C₂³	1	1	yes	characteristic
475	C₄⋊#1055	C₂³	1	1	yes	characteristic
476	C₄⋊#1055	C₂³	1	1	yes	characteristic
477	C₄⋊#1055	C₂³	1	1	yes	characteristic
478	#88043	C₂³	1	1	yes	characteristic
479	#88043	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	C₂×#3370	—	13	1	no	maximal, Sylow
482	C₂³×D₁₃	—	2	1	no	—
483	C₂³×D₁₃	—	2	1	no	—
484	C₂³×D₁₃	—	2	1	no	—
485	C₂×Q₈×C₁₃	—	2	1	no	—
486	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
487	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
488	C₂×D₄×C₁₃	—	2	1	no	—
489	C₂×D₄×C₁₃	—	2	1	no	—
490	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
491	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
492	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₁₃	—	2	1	no	—
494	C₂²×C₄×C₁₃	—	2	1	no	—
495	C₂²×C₄×C₁₃	—	2	1	no	—
496	C₂²×C₄×C₁₃	—	2	1	no	—
497	C₂²×C₄×C₁₃	—	2	1	no	—
498	C₂×C₂²⋊D₁₃	—	2	1	no	—
499	C₂×C₂²⋊D₁₃	—	2	1	no	—
500	C₂×C₂²⋊D₁₃	—	2	1	no	—
501	C₂×C₂²⋊D₁₃	—	2	1	no	—
502	C₂×C₂²⋊D₁₃	—	2	1	no	—
503	C₂×C₂²⋊D₁₃	—	2	1	no	—
504	C₂×C₂²⋊D₁₃	—	2	1	no	—
505	C₂²×Dic₁₃	—	2	1	no	—
506	C₂²×Dic₁₃	—	2	1	no	—
507	C₂²×Dic₁₃	—	2	1	no	—
508	C₂²×Dic₁₃	—	2	1	no	—
509	C₂²×Dic₁₃	—	2	1	no	—
510	Q₈×D₁₃	—	2	2	no	—
511	Q₈×D₁₃	—	2	2	no	—
512	Q₈×D₁₃	—	4	2	no	—
513	Q₈×D₁₃	—	8	2	no	—
514	D₄×D₁₃	—	2	2	no	—
515	D₄×D₁₃	—	2	2	no	—
516	D₄×D₁₃	—	2	2	no	—
517	D₄×D₁₃	—	2	2	no	—
518	D₄×D₁₃	—	2	2	no	—
519	D₄×D₁₃	—	4	4	no	—
520	D₄×D₁₃	—	8	2	no	—
521	D₄×D₁₃	#41	1	4	yes	—
522	C₂×D₅₂	—	2	1	no	—
523	C₂×D₅₂	—	2	1	no	—
524	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
525	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
526	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
527	C₂×C₄×D₁₃	—	2	1	no	—
528	C₂×C₄×D₁₃	—	2	1	no	—
529	C₂×C₄×D₁₃	—	2	1	no	—
530	C₂×C₄×D₁₃	—	2	1	no	—
531	C₂×C₄×D₁₃	—	2	1	no	—
532	C₂×C₄×D₁₃	—	2	1	no	—
533	C₂×C₄×D₁₃	—	2	1	no	—
534	C₂×C₄×D₁₃	—	2	1	no	—
535	C₂×C₄×D₁₃	—	2	1	no	—
536	C₂×C₄×D₁₃	—	2	1	no	—
537	C₂×C₄×D₁₃	—	2	1	no	—
538	C₂×C₄×D₁₃	—	2	1	no	—
539	C₂×C₄×D₁₃	—	2	1	no	—
540	C₂×C₄×D₁₃	—	2	1	no	—
541	C₂×C₄×D₁₃	—	2	1	no	—
542	C₂×C₄×D₁₃	—	4	4	no	—
543	C₂×C₄×D₁₃	—	8	2	no	—
544	C₂×C₄×D₁₃	—	8	2	no	—
545	C₂×C₄×D₁₃	—	8	2	no	—
546	C₂×C₄×D₁₃	—	8	2	no	—
547	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
548	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
549	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
550	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
551	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
552	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
553	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
554	C₂×Dic₂₆	—	2	1	no	—
555	C₂×Dic₂₆	—	2	1	no	—
556	C₂×Dic₂₆	—	2	1	no	—
557	C₂×Dic₂₆	—	2	1	no	—
558	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
559	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
560	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
561	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
562	C₁₃×SD₁₆	—	2	2	no	—
563	C₁₃×D₈	—	2	2	no	—
564	C₁₃×D₈	—	2	2	no	—
565	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
566	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
567	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
568	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
569	C₁₃×C₄⋊C₄	—	2	1	no	—
570	C₁₃×C₄⋊C₄	—	2	1	no	—
571	C₁₃×C₄⋊C₄	—	2	1	no	—
572	C₁₃×C₄⋊C₄	—	2	1	no	—
573	C₁₃×C₄⋊C₄	—	2	1	no	—
574	C₁₃×C₄⋊C₄	—	2	1	no	—
575	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
576	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
577	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
578	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
579	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
580	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
581	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
582	C₁₃×C₂²⋊C₄	—	2	1	no	—
583	C₁₃×C₂²⋊C₄	—	2	1	no	—
584	C₁₃×C₂²⋊C₄	—	2	1	no	—
585	C₁₃×C₂²⋊C₄	—	2	1	no	—
586	C₁₃×C₂²⋊C₄	—	2	1	no	—
587	C₁₃×C₂²⋊C₄	—	2	1	no	—
588	C₁₃×C₂²⋊C₄	—	2	1	no	—
589	C₁₃×C₂²⋊C₄	—	2	1	no	—
590	C₁₃×C₂²⋊C₄	—	2	1	no	—
591	C₄²×C₁₃	—	2	1	no	—
592	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
593	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
594	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
595	C₂²⋊Dic₁₃	—	2	1	no	—
596	C₂²⋊Dic₁₃	—	2	1	no	—
597	C₂²⋊Dic₁₃	—	2	1	no	—
598	C₂²⋊Dic₁₃	—	2	1	no	—
599	C₂²⋊Dic₁₃	—	2	1	no	—
600	C₂²⋊Dic₁₃	—	2	1	no	—
601	C₂²⋊Dic₁₃	—	2	1	no	—
602	C₂²⋊Dic₁₃	—	2	1	no	—
603	C₂²⋊Dic₁₃	—	2	1	no	—
604	#6106	—	2	2	no	—
605	#6105	—	2	2	no	—
606	#6104	—	2	2	no	—
607	#6104	—	2	2	no	—
608	#6104	—	2	2	no	—
609	#6104	—	2	2	no	—
610	#6103	—	2	1	no	—
611	#6103	—	2	1	no	—
612	#6103	—	2	1	no	—
613	#6103	—	2	1	no	—
614	#6103	—	2	1	no	—
615	#6103	—	2	1	no	—
616	#6103	—	2	1	no	—
617	#6103	—	2	1	no	—
618	#6103	—	2	1	no	—
619	#6103	—	2	1	no	—
620	#6103	—	2	1	no	—
621	#6103	—	2	1	no	—
622	#6103	—	2	1	no	—
623	#6103	—	2	1	no	—
624	#6103	—	2	1	no	—
625	#6103	—	2	1	no	—
626	#6103	—	2	1	no	—
627	#6103	—	2	1	no	—
628	C₄⋊Dic₁₃	—	2	1	no	—
629	C₄⋊Dic₁₃	—	2	1	no	—
630	C₄⋊Dic₁₃	—	2	1	no	—
631	C₄⋊Dic₁₃	—	2	1	no	—
632	C₄⋊Dic₁₃	—	2	1	no	—
633	C₄⋊Dic₁₃	—	2	1	no	—
634	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
635	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
636	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
637	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
638	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
639	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
640	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
658	#6101	C₂×D₄	1	1	yes	characteristic
659	#6101	C₂×D₄	1	1	yes	characteristic
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	C₄×Dic₁₃	—	2	1	no	—
664	C₄×Dic₁₃	—	2	1	no	—
665	C₄×Dic₁₃	—	2	1	no	—
666	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
667	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
668	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
669	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
670	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
671	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
672	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
673	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
674	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
675	C₂×#1055	C₂⁴	1	1	yes	characteristic
676	C₂×#1055	C₂⁴	1	1	yes	characteristic
677	C₂×#1055	C₂⁴	1	1	yes	characteristic
678	C₂×#1055	C₂⁴	1	1	yes	characteristic
679	D₁₀₄	—	2	2	no	—
680	D₁₀₄	—	2	2	no	—
681	#6095	—	2	2	no	—
682	C₈×D₁₃	—	2	2	no	—
683	C₈×D₁₃	—	2	2	no	—
684	C₈×D₁₃	—	2	2	no	—
685	C₈×D₁₃	—	2	2	no	—
686	C₂×#559	—	13	1	no	—
687	C₂×#554	—	13	1	no	—
688	#3370	—	13	1	no	—
689	#3370	—	13	1	no	—
690	#3370	—	13	1	no	—
691	#3370	—	13	1	no	—
692	#3370	—	13	1	no	—
693	#3370	—	13	1	no	—
694	#3370	—	13	1	no	—
695	#3370	—	13	1	no	—
696	#3370	—	13	1	no	—
697	#3370	—	13	1	no	—
698	#3370	—	13	1	no	—
699	#3370	—	13	1	no	—
700	#3370	—	13	1	no	—
701	#3370	—	13	1	no	—
702	#3370	—	13	1	no	—
703	#3370	D₁₃	1	1	yes	characteristic, direct product factor
704	C₂×#490	—	13	1	no	—
705	C₂×#489	—	13	1	no	—
706	C₂×#488	—	13	1	no	—
707	C₂×#479	—	13	1	no	—
708	C₂×#478	—	13	1	no	—
709	C₂×#474	—	13	1	no	—
710	C₂×#463	—	13	1	no	—
711	C₂×#463	—	13	1	no	—
712	C₂×#459	—	13	1	no	—
713	C₂×#446	—	13	1	no	—
714	C₂×#442	—	13	1	no	—
715	C₂×#440	—	13	1	no	—
716	C₂×C₄×D₈	—	13	1	no	—
717	C₂³×C₁₃	—	2	1	no	—
718	C₂³×C₁₃	—	2	1	no	—
719	C₂³×C₁₃	—	2	1	no	—
720	C₂²×D₁₃	—	2	1	no	—
721	C₂²×D₁₃	—	2	4	no	—
722	C₂²×D₁₃	—	2	1	no	—
723	C₂²×D₁₃	—	2	1	no	—
724	C₂²×D₁₃	—	4	2	no	—
725	C₂²×D₁₃	—	4	2	no	—
726	C₂²×D₁₃	—	4	2	no	—
727	C₂²×D₁₃	—	4	2	no	—
728	C₂²×D₁₃	—	4	2	no	—
729	C₂²×D₁₃	—	4	2	no	—
730	C₂²×D₁₃	—	4	2	no	—
731	C₂²×D₁₃	—	4	2	no	—
732	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
733	Q₈×C₁₃	—	2	1	no	—
734	Q₈×C₁₃	—	2	1	no	—
735	Q₈×C₁₃	—	4	1	no	—
736	Q₈×C₁₃	—	8	1	no	—
737	D₄×C₁₃	—	2	1	no	—
738	D₄×C₁₃	—	2	1	no	—
739	D₄×C₁₃	—	2	1	no	—
740	D₄×C₁₃	—	2	1	no	—
741	D₄×C₁₃	—	2	1	no	—
742	D₄×C₁₃	—	4	2	no	—
743	D₄×C₁₃	—	8	1	no	—
744	D₄×C₁₃	C₂×#41	1	2	yes	—
745	C₂×C₄×C₁₃	—	2	1	no	—
746	C₂×C₄×C₁₃	—	2	1	no	—
747	C₂×C₄×C₁₃	—	2	1	no	—
748	C₂×C₄×C₁₃	—	2	1	no	—
749	C₂×C₄×C₁₃	—	2	1	no	—
750	C₂×C₄×C₁₃	—	4	2	no	—
751	C₂×C₄×C₁₃	—	8	1	no	—
752	C₂×C₄×C₁₃	—	8	1	no	—
753	C₂×C₄×C₁₃	—	8	1	no	—
754	C₂×C₄×C₁₃	—	8	1	no	—
755	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
756	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
757	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
761	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
762	C₂²⋊D₁₃	—	2	4	no	—
763	C₂²⋊D₁₃	—	4	2	no	—
764	C₂²⋊D₁₃	—	4	2	no	—
765	C₂²⋊D₁₃	—	4	2	no	—
766	C₂²⋊D₁₃	—	4	2	no	—
767	C₂²⋊D₁₃	—	8	1	no	—
768	C₂²⋊D₁₃	—	8	1	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	—	4	2	no	—
775	C₂×Dic₁₃	—	8	1	no	—
776	C₂×Dic₁₃	—	8	1	no	—
777	C₂×Dic₁₃	—	8	1	no	—
778	C₂×Dic₁₃	—	8	1	no	—
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	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
786	D₅₂	—	2	1	no	—
787	D₅₂	—	2	1	no	—
788	D₅₂	—	2	1	no	—
789	D₅₂	—	2	1	no	—
790	D₅₂	—	2	1	no	—
791	D₅₂	—	4	2	no	—
792	D₅₂	—	8	1	no	—
793	D₅₂	C₂×#41	1	2	yes	—
794	C₄×D₁₃	—	2	2	no	—
795	C₄×D₁₃	—	2	2	no	—
796	C₄×D₁₃	—	2	2	no	—
797	C₄×D₁₃	—	2	2	no	—
798	C₄×D₁₃	—	2	2	no	—
799	C₄×D₁₃	—	2	2	no	—
800	C₄×D₁₃	—	4	2	no	—
801	C₄×D₁₃	—	4	2	no	—
802	C₄×D₁₃	—	4	2	no	—
803	C₄×D₁₃	—	4	2	no	—
804	C₄×D₁₃	—	4	2	no	—
805	C₄×D₁₃	—	4	2	no	—
806	C₄×D₁₃	—	4	2	no	—
807	C₄×D₁₃	—	8	1	no	—
808	C₄×D₁₃	—	8	1	no	—
809	C₄×D₁₃	—	8	1	no	—
810	C₄×D₁₃	—	8	1	no	—
811	C₄×D₁₃	—	8	1	no	—
812	C₄×D₁₃	—	8	1	no	—
813	C₄×D₁₃	—	8	1	no	—
814	C₄×D₁₃	—	8	1	no	—
815	C₄×D₁₃	C₂×#41	1	2	yes	—
816	C₄×D₁₃	2₋¹⁺⁴	1	2	yes	—
817	Dic₂₆	—	2	1	no	—
818	Dic₂₆	—	2	1	no	—
819	Dic₂₆	—	4	1	no	—
820	Dic₂₆	—	4	1	no	—
821	Dic₂₆	—	4	1	no	—
822	Dic₂₆	—	4	2	no	—
823	Dic₂₆	—	8	1	no	—
824	Dic₂₆	—	8	1	no	—
825	Dic₂₆	—	8	1	no	—
826	C₈×C₁₃	—	2	1	no	—
827	C₈×C₁₃	—	2	1	no	—
828	C₈×C₁₃	—	2	1	no	—
829	C₈×C₁₃	—	2	1	no	—
830	#1055	—	2	1	no	—
831	#1055	—	2	1	no	—
832	#1055	—	2	1	no	—
833	#1055	—	2	1	no	—
834	C₂²×SD₁₆	—	13	1	no	—
835	C₂²×D₈	—	13	1	no	—
836	C₂²×D₈	—	13	1	no	—
837	#559	—	13	1	no	—
838	#559	—	13	1	no	—
839	#559	—	13	1	no	—
840	#559	—	13	1	no	—
841	#559	—	13	1	no	—
842	#559	—	13	1	no	—
843	#559	—	13	1	no	—
844	#559	—	26	1	no	—
845	#559	—	26	1	no	—
846	#559	—	26	1	no	—
847	#559	—	26	1	no	—
848	#559	C₂×D₁₃	1	1	yes	characteristic, complemented
849	#554	—	13	1	no	—
850	#554	—	13	1	no	—
851	#554	—	13	1	no	—
852	#554	—	13	1	no	—
853	#554	—	13	1	no	—
854	#554	—	13	1	no	—
855	#554	—	13	1	no	—
856	#554	—	26	1	no	—
857	#554	—	26	1	no	—
858	#554	—	26	1	no	—
859	#554	—	26	1	no	—
860	#554	C₂×D₁₃	1	1	yes	characteristic, complemented
861	C₂×C₄⋊Q₈	—	13	1	no	—
862	C₂×#127	—	13	1	no	—
863	C₂×#125	—	13	1	no	—
864	C₂×#125	—	13	1	no	—
865	C₂×#124	—	13	1	no	—
866	C₂×#124	—	13	1	no	—
867	C₂×#124	—	26	1	no	—
868	C₂×#123	—	26	1	no	—
869	C₂×#123	—	26	1	no	—
870	C₂×C₂²⋊Q₈	—	26	1	no	—
871	C₂×C₂²⋊Q₈	—	26	1	no	—
872	C₂×C₂²⋊Q₈	—	26	1	no	—
873	C₂×C₄×Q₈	—	13	1	no	—
874	C₂×C₄×Q₈	—	13	1	no	—
875	C₂×C₄×D₄	—	13	1	no	—
876	C₂×C₄×D₄	—	13	1	no	—
877	C₂×C₄×D₄	—	13	1	no	—
878	C₂×C₄×D₄	—	13	1	no	—
879	C₂×C₄×D₄	—	13	1	no	—
880	C₂×C₄×D₄	—	26	1	no	—
881	C₂²×C₄⋊C₄	—	26	1	no	—
882	#490	—	13	1	no	—
883	#490	—	13	1	no	—
884	#490	—	13	1	no	—
885	#490	—	13	1	no	—
886	#490	—	13	1	no	—
887	#490	—	13	1	no	—
888	#490	—	13	1	no	—
889	#490	C₂×D₁₃	1	1	yes	characteristic, complemented
890	#489	—	13	1	no	—
891	#489	—	13	1	no	—
892	#489	—	13	1	no	—
893	#489	—	13	1	no	—
894	#489	—	13	1	no	—
895	#489	—	13	1	no	—
896	#489	—	13	1	no	—
897	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
898	#488	—	13	1	no	—
899	#488	—	13	1	no	—
900	#488	—	13	1	no	—
901	#488	—	13	1	no	—
902	#488	—	13	1	no	—
903	#488	—	13	1	no	—
904	#488	—	13	1	no	—
905	#488	C₂×D₁₃	1	1	yes	characteristic, complemented
906	#479	—	13	1	no	—
907	#479	—	13	1	no	—
908	#479	—	13	1	no	—
909	#479	—	13	1	no	—
910	#479	—	13	1	no	—
911	#479	—	13	1	no	—
912	#479	—	13	1	no	—
913	#479	C₂×D₁₃	1	1	yes	characteristic, complemented
914	#478	—	13	1	no	—
915	#478	—	13	1	no	—
916	#478	—	13	1	no	—
917	#478	—	13	1	no	—
918	#478	—	13	1	no	—
919	#478	—	13	1	no	—
920	#478	—	13	1	no	—
921	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
922	#474	—	13	1	no	—
923	#474	—	13	1	no	—
924	#474	—	13	1	no	—
925	#474	—	13	1	no	—
926	#474	—	13	1	no	—
927	#474	—	13	1	no	—
928	#474	—	13	1	no	—
929	#474	C₂×D₁₃	1	1	yes	characteristic, complemented
930	#463	—	13	1	no	—
931	#463	—	13	1	no	—
932	#463	—	13	1	no	—
933	#463	—	13	1	no	—
934	#463	—	13	1	no	—
935	#463	—	13	1	no	—
936	#463	—	13	1	no	—
937	#463	—	13	1	no	—
938	#463	—	13	1	no	—
939	#463	—	13	1	no	—
940	#463	—	13	1	no	—
941	#463	—	13	1	no	—
942	#463	—	13	1	no	—
943	#463	—	13	1	no	—
944	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
945	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
946	#459	—	13	1	no	—
947	#459	—	13	1	no	—
948	#459	—	13	1	no	—
949	#459	—	13	1	no	—
950	#459	—	13	1	no	—
951	#459	—	13	1	no	—
952	#459	—	13	1	no	—
953	#459	C₂×D₁₃	1	1	yes	characteristic
954	#446	—	13	1	no	—
955	#446	—	13	1	no	—
956	#446	—	13	1	no	—
957	#446	—	13	1	no	—
958	#446	—	13	1	no	—
959	#446	—	13	1	no	—
960	#446	—	13	1	no	—
961	#446	C₂×D₁₃	1	1	yes	characteristic, complemented
962	#442	—	13	1	no	—
963	#442	—	13	1	no	—
964	#442	—	13	1	no	—
965	#442	—	13	1	no	—
966	#442	—	13	1	no	—
967	#442	—	13	1	no	—
968	#442	—	13	1	no	—
969	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
970	#440	—	13	1	no	—
971	#440	—	13	1	no	—
972	#440	—	13	1	no	—
973	#440	—	13	1	no	—
974	#440	—	13	1	no	—
975	#440	—	13	1	no	—
976	#440	—	13	1	no	—
977	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
978	C₄×D₈	—	13	1	no	—
979	C₄×D₈	—	13	1	no	—
980	C₄×D₈	—	13	1	no	—
981	C₄×D₈	—	13	1	no	—
982	C₄×D₈	—	13	1	no	—
983	C₄×D₈	—	13	1	no	—
984	C₄×D₈	—	13	1	no	—
985	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
986	C₂×#107	—	13	1	no	—
987	C₂×#107	—	13	1	no	—
988	C₂×#106	—	13	1	no	—
989	C₂×C₄⋊C₈	—	13	1	no	—
990	C₂×C₄⋊C₈	—	13	1	no	—
991	C₂×C₄⋊C₈	—	13	1	no	—
992	C₂×#103	—	13	1	no	—
993	C₂×#103	—	13	1	no	—
994	C₂×#103	—	13	1	no	—
995	C₂×#102	—	13	1	no	—
996	C₂×#102	—	13	1	no	—
997	C₂×#102	—	13	1	no	—
998	C₂×#102	—	13	1	no	—
999	C₂×#102	—	13	1	no	—
1000	C₂×#102	—	13	1	no	—
1001	C₂×#102	—	13	1	no	—
1002	C₂×#97	—	13	1	no	—
1003	C₂×#97	—	13	1	no	—
1004	C₂×C₄×C₈	—	13	1	no	—
1005	C₂²×C₁₃	—	2	2	no	—
1006	C₂²×C₁₃	—	4	1	no	—
1007	C₂²×C₁₃	—	4	1	no	—
1008	C₂²×C₁₃	—	4	1	no	—
1009	C₂²×C₁₃	—	4	1	no	—
1010	C₂²×C₁₃	—	4	1	no	—
1011	C₂²×C₁₃	—	4	1	no	—
1012	C₂²×C₁₃	—	4	1	no	—
1013	C₂²×C₁₃	—	4	1	no	—
1014	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1015	C₂×D₁₃	—	2	2	no	—
1016	C₂×D₁₃	—	4	1	no	—
1017	C₂×D₁₃	—	4	1	no	—
1018	C₂×D₁₃	—	4	8	no	—
1019	C₂×D₁₃	—	4	1	no	—
1020	C₂×D₁₃	—	4	1	no	—
1021	C₂×D₁₃	—	4	1	no	—
1022	C₂×D₁₃	—	4	1	no	—
1023	C₂×D₁₃	—	4	1	no	—
1024	C₂×D₁₃	—	4	1	no	—
1025	C₂×D₁₃	—	8	4	no	—
1026	C₂×D₁₃	—	8	4	no	—
1027	C₂×D₁₃	#548	1	2	yes	—
1028	C₂×D₁₃	#575	1	2	yes	—
1029	C₂×D₁₃	#576	1	2	yes	—
1030	C₄×C₁₃	—	2	1	no	—
1031	C₄×C₁₃	—	2	1	no	—
1032	C₄×C₁₃	—	2	1	no	—
1033	C₄×C₁₃	—	2	1	no	—
1034	C₄×C₁₃	—	2	1	no	—
1035	C₄×C₁₃	—	2	1	no	—
1036	C₄×C₁₃	—	4	1	no	—
1037	C₄×C₁₃	—	4	1	no	—
1038	C₄×C₁₃	—	4	1	no	—
1039	C₄×C₁₃	—	4	1	no	—
1040	C₄×C₁₃	—	4	1	no	—
1041	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1042	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1043	Dic₁₃	—	2	1	no	—
1044	Dic₁₃	—	2	1	no	—
1045	Dic₁₃	—	2	1	no	—
1046	Dic₁₃	—	2	1	no	—
1047	Dic₁₃	—	2	1	no	—
1048	Dic₁₃	—	2	1	no	—
1049	Dic₁₃	—	4	1	no	—
1050	Dic₁₃	—	4	1	no	—
1051	Dic₁₃	—	4	1	no	—
1052	Dic₁₃	—	4	1	no	—
1053	Dic₁₃	—	4	1	no	—
1054	Dic₁₃	#548	1	2	yes	—
1055	C₂²×Q₈	—	13	1	no	—
1056	C₂²×Q₈	—	13	1	no	—
1057	C₂²×Q₈	—	26	1	no	—
1058	C₂²×D₄	—	13	1	no	—
1059	C₂²×D₄	—	13	1	no	—
1060	C₂²×D₄	—	13	1	no	—
1061	C₂²×D₄	—	26	1	no	—
1062	C₂²×D₄	—	26	1	no	—
1063	C₂³×C₄	—	26	1	no	—
1064	C₂³×C₄	—	26	1	no	—
1065	C₂³×C₄	—	26	1	no	—
1066	C₂³×C₄	—	26	1	no	—
1067	C₂³×C₄	—	26	1	no	—
1068	C₂×SD₁₆	—	13	1	no	—
1069	C₂×SD₁₆	—	13	1	no	—
1070	C₂×SD₁₆	—	13	1	no	—
1071	C₂×SD₁₆	—	26	4	no	—
1072	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1073	C₂×D₈	—	13	1	no	—
1074	C₂×D₈	—	13	1	no	—
1075	C₂×D₈	—	13	1	no	—
1076	C₂×D₈	—	13	1	no	—
1077	C₂×D₈	—	13	1	no	—
1078	C₂×D₈	—	13	1	no	—
1079	C₂×D₈	—	26	4	no	—
1080	C₂×D₈	—	26	4	no	—
1081	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1082	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1083	C₂²×C₈	—	13	1	no	—
1084	C₂²×C₈	—	13	1	no	—
1085	C₂²×C₈	—	13	1	no	—
1086	C₂²×C₈	—	13	1	no	—
1087	C₄⋊Q₈	—	13	1	no	—
1088	C₄⋊Q₈	—	13	1	no	—
1089	C₄⋊Q₈	—	13	1	no	—
1090	C₄⋊Q₈	—	26	1	no	—
1091	C₄⋊Q₈	—	26	1	no	—
1092	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1093	#127	—	13	1	no	—
1094	#127	—	13	1	no	—
1095	#127	—	13	1	no	—
1096	#127	—	26	1	no	—
1097	#127	—	26	1	no	—
1098	#127	C₂²×D₁₃	1	1	yes	characteristic
1099	#125	—	13	1	no	—
1100	#125	—	13	1	no	—
1101	#125	—	13	1	no	—
1102	#125	—	13	1	no	—
1103	#125	—	13	1	no	—
1104	#125	—	13	1	no	—
1105	#125	—	26	1	no	—
1106	#125	—	26	1	no	—
1107	#125	—	26	1	no	—
1108	#125	—	26	1	no	—
1109	#125	C₂²×D₁₃	1	1	yes	characteristic
1110	#125	C₂²×D₁₃	1	1	yes	characteristic
1111	#124	—	2	1	no	—
1112	#124	—	13	1	no	—
1113	#124	—	13	1	no	—
1114	#124	—	13	1	no	—
1115	#124	—	13	1	no	—
1116	#124	—	13	1	no	—
1117	#124	—	13	1	no	—
1118	#124	—	26	1	no	—
1119	#124	—	26	1	no	—
1120	#124	—	26	1	no	—
1121	#124	—	26	1	no	—
1122	#124	—	26	1	no	—
1123	#124	—	26	1	no	—
1124	#124	—	26	1	no	—
1125	#124	—	26	1	no	—
1126	#124	—	26	1	no	—
1127	#124	—	26	1	no	—
1128	#124	—	26	1	no	—
1129	#124	C₂²×D₁₃	1	1	yes	characteristic
1130	#124	C₂²×D₁₃	1	1	yes	characteristic
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	26	1	no	—
1134	#123	—	26	1	no	—
1135	#123	—	26	1	no	—
1136	#123	—	26	1	no	—
1137	#123	—	26	1	no	—
1138	#123	—	26	1	no	—
1139	#123	—	26	1	no	—
1140	#123	—	26	1	no	—
1141	#123	—	26	1	no	—
1142	#123	—	26	1	no	—
1143	#123	—	26	1	no	—
1144	#123	—	26	1	no	—
1145	#123	—	26	1	no	—
1146	#123	—	26	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	26	1	no	—
1151	C₂²⋊Q₈	—	26	1	no	—
1152	C₂²⋊Q₈	—	26	1	no	—
1153	C₂²⋊Q₈	—	26	1	no	—
1154	C₂²⋊Q₈	—	26	1	no	—
1155	C₂²⋊Q₈	—	26	1	no	—
1156	C₂²⋊Q₈	—	26	1	no	—
1157	C₂²⋊Q₈	—	26	1	no	—
1158	C₂²⋊Q₈	—	26	1	no	—
1159	C₂²⋊Q₈	—	26	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	—	26	1	no	—
1165	C₂²⋊Q₈	—	26	1	no	—
1166	C₂²⋊Q₈	—	26	1	no	—
1167	C₂²⋊Q₈	—	26	1	no	—
1168	C₂²⋊Q₈	—	26	1	no	—
1169	C₂²⋊Q₈	—	26	1	no	—
1170	C₂²⋊Q₈	—	26	1	no	—
1171	C₄×Q₈	—	13	1	no	—
1172	C₄×Q₈	—	13	1	no	—
1173	C₄×Q₈	—	13	1	no	—
1174	C₄×Q₈	—	13	1	no	—
1175	C₄×Q₈	—	13	1	no	—
1176	C₄×Q₈	—	13	1	no	—
1177	C₄×Q₈	—	13	1	no	—
1178	C₄×Q₈	—	13	1	no	—
1179	C₄×Q₈	—	13	1	no	—
1180	C₄×Q₈	—	13	1	no	—
1181	C₄×Q₈	—	26	1	no	—
1182	C₄×Q₈	—	26	1	no	—
1183	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1184	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1185	C₄×D₄	—	2	1	no	—
1186	C₄×D₄	—	13	1	no	—
1187	C₄×D₄	—	13	1	no	—
1188	C₄×D₄	—	13	1	no	—
1189	C₄×D₄	—	13	1	no	—
1190	C₄×D₄	—	13	1	no	—
1191	C₄×D₄	—	13	1	no	—
1192	C₄×D₄	—	13	1	no	—
1193	C₄×D₄	—	13	1	no	—
1194	C₄×D₄	—	13	1	no	—
1195	C₄×D₄	—	13	1	no	—
1196	C₄×D₄	—	13	1	no	—
1197	C₄×D₄	—	13	1	no	—
1198	C₄×D₄	—	13	1	no	—
1199	C₄×D₄	—	13	1	no	—
1200	C₄×D₄	—	13	1	no	—
1201	C₄×D₄	—	26	1	no	—
1202	C₄×D₄	—	26	1	no	—
1203	C₄×D₄	—	26	1	no	—
1204	C₄×D₄	—	26	1	no	—
1205	C₄×D₄	—	26	1	no	—
1206	C₄×D₄	—	26	1	no	—
1207	C₄×D₄	—	26	1	no	—
1208	C₄×D₄	—	26	1	no	—
1209	C₄×D₄	—	26	1	no	—
1210	C₄×D₄	—	26	1	no	—
1211	C₄×D₄	—	26	1	no	—
1212	C₄×D₄	—	26	1	no	—
1213	C₄×D₄	—	26	1	no	—
1214	C₄×D₄	—	26	1	no	—
1215	C₄×D₄	—	26	1	no	—
1216	C₄×D₄	—	26	1	no	—
1217	C₄×D₄	—	26	1	no	—
1218	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1219	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1220	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1221	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1222	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1223	C₂×C₄⋊C₄	—	2	1	no	—
1224	C₂×C₄⋊C₄	—	13	1	no	—
1225	C₂×C₄⋊C₄	—	13	1	no	—
1226	C₂×C₄⋊C₄	—	13	1	no	—
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	—	26	1	no	—
1232	C₂×C₄⋊C₄	—	26	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	—	26	1	no	—
1245	C₂×C₂²⋊C₄	—	26	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	—	13	1	no	—
1256	C₂×C₄²	—	26	1	no	—
1257	#107	—	13	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	C₂²×D₁₃	1	1	yes	characteristic
1264	#107	C₂²×D₁₃	1	1	yes	characteristic
1265	#106	—	13	1	no	—
1266	#106	—	13	1	no	—
1267	#106	—	13	1	no	—
1268	#106	C₂²×D₁₃	1	1	yes	characteristic
1269	C₄⋊C₈	—	13	1	no	—
1270	C₄⋊C₈	—	13	1	no	—
1271	C₄⋊C₈	—	13	1	no	—
1272	C₄⋊C₈	—	13	1	no	—
1273	C₄⋊C₈	—	13	1	no	—
1274	C₄⋊C₈	—	13	1	no	—
1275	C₄⋊C₈	—	13	1	no	—
1276	C₄⋊C₈	—	13	1	no	—
1277	C₄⋊C₈	—	13	1	no	—
1278	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1279	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1280	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
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	C₂²×D₁₃	1	1	yes	characteristic
1291	#103	C₂²×D₁₃	1	1	yes	characteristic
1292	#103	C₂²×D₁₃	1	1	yes	characteristic
1293	#102	—	13	1	no	—
1294	#102	—	13	1	no	—
1295	#102	—	13	1	no	—
1296	#102	—	13	1	no	—
1297	#102	—	13	1	no	—
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	—	13	1	no	—
1305	#102	—	13	1	no	—
1306	#102	—	13	1	no	—
1307	#102	—	13	1	no	—
1308	#102	—	13	1	no	—
1309	#102	—	13	1	no	—
1310	#102	—	13	1	no	—
1311	#102	—	13	1	no	—
1312	#102	—	13	1	no	—
1313	#102	—	13	1	no	—
1314	#102	C₂²×D₁₃	1	1	yes	characteristic
1315	#102	C₂²×D₁₃	1	1	yes	characteristic
1316	#102	C₂²×D₁₃	1	1	yes	characteristic
1317	#102	C₂²×D₁₃	1	1	yes	characteristic
1318	#102	C₂²×D₁₃	1	1	yes	characteristic
1319	#102	C₂²×D₁₃	1	1	yes	characteristic
1320	#102	C₂²×D₁₃	1	1	yes	characteristic
1321	#97	—	13	1	no	—
1322	#97	—	13	1	no	—
1323	#97	—	13	1	no	—
1324	#97	—	13	1	no	—
1325	#97	—	13	1	no	—
1326	#97	—	13	1	no	—
1327	#97	C₂²×D₁₃	1	1	yes	characteristic
1328	#97	C₂²×D₁₃	1	1	yes	characteristic
1329	C₄×C₈	—	13	1	no	—
1330	C₄×C₈	—	13	1	no	—
1331	C₄×C₈	—	13	1	no	—
1332	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1333	C₂×C₁₃	—	4	2	no	—
1334	C₂×C₁₃	—	8	1	no	—
1335	C₂×C₁₃	—	8	1	no	—
1336	C₂×C₁₃	C₂×#548	1	1	yes	characteristic
1337	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1338	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1339	D₁₃	—	4	2	no	—
1340	D₁₃	—	8	1	no	—
1341	D₁₃	—	8	1	no	—
1342	D₁₃	#3370	1	4	yes	direct product factor
1343	C₂⁴	—	26	1	no	—
1344	C₂⁴	—	26	1	no	—
1345	C₂⁴	—	26	1	no	—
1346	C₂×Q₈	—	2	1	no	—
1347	C₂×Q₈	—	13	1	no	—
1348	C₂×Q₈	—	13	1	no	—
1349	C₂×Q₈	—	13	1	no	—
1350	C₂×Q₈	—	13	1	no	—
1351	C₂×Q₈	—	26	1	no	—
1352	C₂×Q₈	—	26	1	no	—
1353	C₂×Q₈	—	26	1	no	—
1354	C₂×Q₈	—	26	2	no	—
1355	C₂×Q₈	—	26	2	no	—
1356	C₂×Q₈	—	26	1	no	—
1357	C₂×Q₈	—	52	2	no	—
1358	C₂×Q₈	—	104	2	no	—
1359	C₂×Q₈	D₄×D₁₃	1	1	yes	characteristic
1360	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	2	1	no	—
1363	C₂×D₄	—	13	4	no	—
1364	C₂×D₄	—	13	1	no	—
1365	C₂×D₄	—	13	1	no	—
1366	C₂×D₄	—	13	1	no	—
1367	C₂×D₄	—	26	2	no	—
1368	C₂×D₄	—	26	2	no	—
1369	C₂×D₄	—	26	2	no	—
1370	C₂×D₄	—	26	2	no	—
1371	C₂×D₄	—	26	2	no	—
1372	C₂×D₄	—	26	1	no	—
1373	C₂×D₄	—	26	1	no	—
1374	C₂×D₄	—	26	1	no	—
1375	C₂×D₄	—	26	1	no	—
1376	C₂×D₄	—	26	1	no	—
1377	C₂×D₄	—	26	1	no	—
1378	C₂×D₄	—	26	1	no	—
1379	C₂×D₄	—	26	1	no	—
1380	C₂×D₄	—	26	1	no	—
1381	C₂×D₄	—	52	4	no	—
1382	C₂×D₄	—	104	2	no	—
1383	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1384	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1385	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	2	1	no	—
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	13	1	no	—
1392	C₂²×C₄	—	13	1	no	—
1393	C₂²×C₄	—	13	1	no	—
1394	C₂²×C₄	—	13	1	no	—
1395	C₂²×C₄	—	13	1	no	—
1396	C₂²×C₄	—	13	1	no	—
1397	C₂²×C₄	—	13	1	no	—
1398	C₂²×C₄	—	26	1	no	—
1399	C₂²×C₄	—	26	1	no	—
1400	C₂²×C₄	—	26	1	no	—
1401	C₂²×C₄	—	26	1	no	—
1402	C₂²×C₄	—	26	1	no	—
1403	C₂²×C₄	—	26	1	no	—
1404	C₂²×C₄	—	26	1	no	—
1405	C₂²×C₄	—	26	1	no	—
1406	C₂²×C₄	—	26	1	no	—
1407	C₂²×C₄	—	26	1	no	—
1408	C₂²×C₄	—	26	1	no	—
1409	C₂²×C₄	—	26	1	no	—
1410	C₂²×C₄	—	26	1	no	—
1411	C₂²×C₄	—	26	1	no	—
1412	C₂²×C₄	—	26	1	no	—
1413	C₂²×C₄	—	26	1	no	—
1414	C₂²×C₄	—	26	1	no	—
1415	C₂²×C₄	—	26	1	no	—
1416	C₂²×C₄	—	26	1	no	—
1417	C₂²×C₄	—	26	1	no	—
1418	C₂²×C₄	—	52	4	no	—
1419	C₂²×C₄	—	104	2	no	—
1420	C₂²×C₄	—	104	2	no	—
1421	C₂²×C₄	—	104	2	no	—
1422	C₂²×C₄	—	104	2	no	—
1423	SD₁₆	—	2	2	no	—
1424	SD₁₆	—	26	2	no	—
1425	SD₁₆	—	26	2	no	—
1426	SD₁₆	—	26	2	no	—
1427	D₈	—	2	2	no	—
1428	D₈	—	2	2	no	—
1429	D₈	—	26	2	no	—
1430	D₈	—	26	2	no	—
1431	D₈	—	26	2	no	—
1432	D₈	—	26	2	no	—
1433	D₈	—	26	2	no	—
1434	D₈	—	26	2	no	—
1435	C₂×C₈	—	13	1	no	—
1436	C₂×C₈	—	13	1	no	—
1437	C₂×C₈	—	13	1	no	—
1438	C₂×C₈	—	13	1	no	—
1439	C₂×C₈	—	26	2	no	—
1440	C₂×C₈	—	26	2	no	—
1441	C₂×C₈	—	26	2	no	—
1442	C₂×C₈	—	26	2	no	—
1443	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1444	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1445	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1446	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	13	1	no	—
1454	C₄⋊C₄	—	13	1	no	—
1455	C₄⋊C₄	—	13	1	no	—
1456	C₄⋊C₄	—	13	1	no	—
1457	C₄⋊C₄	—	13	1	no	—
1458	C₄⋊C₄	—	13	1	no	—
1459	C₄⋊C₄	—	13	1	no	—
1460	C₄⋊C₄	—	13	1	no	—
1461	C₄⋊C₄	—	13	1	no	—
1462	C₄⋊C₄	—	13	1	no	—
1463	C₄⋊C₄	—	13	1	no	—
1464	C₄⋊C₄	—	13	1	no	—
1465	C₄⋊C₄	—	13	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	—	26	1	no	—
1481	C₄⋊C₄	—	26	1	no	—
1482	C₄⋊C₄	—	26	1	no	—
1483	C₄⋊C₄	—	26	1	no	—
1484	C₄⋊C₄	—	26	1	no	—
1485	C₄⋊C₄	—	26	1	no	—
1486	C₄⋊C₄	—	26	1	no	—
1487	C₄⋊C₄	—	26	1	no	—
1488	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1489	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1490	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1491	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1492	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1493	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1494	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	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	—	26	1	no	—
1521	C₂²⋊C₄	—	26	1	no	—
1522	C₂²⋊C₄	—	26	1	no	—
1523	C₂²⋊C₄	—	26	1	no	—
1524	C₂²⋊C₄	—	26	1	no	—
1525	C₂²⋊C₄	—	26	1	no	—
1526	C₂²⋊C₄	—	26	1	no	—
1527	C₂²⋊C₄	—	26	1	no	—
1528	C₂²⋊C₄	—	26	1	no	—
1529	C₂²⋊C₄	—	26	1	no	—
1530	C₂²⋊C₄	—	26	1	no	—
1531	C₄²	—	2	1	no	—
1532	C₄²	—	13	1	no	—
1533	C₄²	—	13	1	no	—
1534	C₄²	—	13	1	no	—
1535	C₄²	—	13	1	no	—
1536	C₄²	—	13	1	no	—
1537	C₄²	—	13	1	no	—
1538	C₄²	—	13	1	no	—
1539	C₄²	—	13	1	no	—
1540	C₄²	—	13	1	no	—
1541	C₄²	—	26	1	no	—
1542	C₄²	—	26	1	no	—
1543	C₄²	—	26	1	no	—
1544	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1545	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1546	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1547	C₁₃	C₂×#3370	1	1	yes	characteristic, complemented, Sylow
1548	C₂³	—	2	1	no	—
1549	C₂³	—	2	1	no	—
1550	C₂³	—	2	1	no	—
1551	C₂³	—	13	1	no	—
1552	C₂³	—	26	4	no	—
1553	C₂³	—	26	1	no	—
1554	C₂³	—	26	1	no	—
1555	C₂³	—	26	1	no	—
1556	C₂³	—	52	2	no	—
1557	C₂³	—	52	2	no	—
1558	C₂³	—	52	2	no	—
1559	C₂³	—	52	2	no	—
1560	C₂³	—	52	2	no	—
1561	C₂³	—	52	2	no	—
1562	C₂³	—	52	2	no	—
1563	C₂³	—	52	2	no	—
1564	Q₈	—	2	1	no	—
1565	Q₈	—	2	1	no	—
1566	Q₈	—	4	1	no	—
1567	Q₈	—	8	1	no	—
1568	Q₈	—	26	1	no	—
1569	Q₈	—	26	1	no	—
1570	Q₈	—	52	1	no	—
1571	Q₈	—	52	1	no	—
1572	Q₈	—	52	1	no	—
1573	Q₈	—	52	2	no	—
1574	Q₈	—	104	1	no	—
1575	Q₈	—	104	1	no	—
1576	Q₈	—	104	1	no	—
1577	D₄	—	2	1	no	—
1578	D₄	—	2	1	no	—
1579	D₄	—	2	1	no	—
1580	D₄	—	2	1	no	—
1581	D₄	—	2	1	no	—
1582	D₄	—	4	2	no	—
1583	D₄	—	8	1	no	—
1584	D₄	—	13	2	no	—
1585	D₄	—	26	4	no	—
1586	D₄	—	26	1	no	—
1587	D₄	—	26	1	no	—
1588	D₄	—	26	1	no	—
1589	D₄	—	26	1	no	—
1590	D₄	—	26	1	no	—
1591	D₄	—	52	2	no	—
1592	D₄	—	52	2	no	—
1593	D₄	—	52	2	no	—
1594	D₄	—	52	2	no	—
1595	D₄	—	52	2	no	—
1596	D₄	—	104	1	no	—
1597	D₄	—	104	1	no	—
1598	D₄	—	104	1	no	—
1599	D₄	#41×D₁₃	1	2	yes	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	4	2	no	—
1606	C₂×C₄	—	8	1	no	—
1607	C₂×C₄	—	8	1	no	—
1608	C₂×C₄	—	8	1	no	—
1609	C₂×C₄	—	8	1	no	—
1610	C₂×C₄	—	13	1	no	—
1611	C₂×C₄	—	13	2	no	—
1612	C₂×C₄	—	13	2	no	—
1613	C₂×C₄	—	13	1	no	—
1614	C₂×C₄	—	13	1	no	—
1615	C₂×C₄	—	13	1	no	—
1616	C₂×C₄	—	13	1	no	—
1617	C₂×C₄	—	13	1	no	—
1618	C₂×C₄	—	13	1	no	—
1619	C₂×C₄	—	26	2	no	—
1620	C₂×C₄	—	26	2	no	—
1621	C₂×C₄	—	26	2	no	—
1622	C₂×C₄	—	26	2	no	—
1623	C₂×C₄	—	26	2	no	—
1624	C₂×C₄	—	26	2	no	—
1625	C₂×C₄	—	26	1	no	—
1626	C₂×C₄	—	26	1	no	—
1627	C₂×C₄	—	26	1	no	—
1628	C₂×C₄	—	26	1	no	—
1629	C₂×C₄	—	26	1	no	—
1630	C₂×C₄	—	52	2	no	—
1631	C₂×C₄	—	52	2	no	—
1632	C₂×C₄	—	52	2	no	—
1633	C₂×C₄	—	52	2	no	—
1634	C₂×C₄	—	52	2	no	—
1635	C₂×C₄	—	52	2	no	—
1636	C₂×C₄	—	52	2	no	—
1637	C₂×C₄	—	52	2	no	—
1638	C₂×C₄	—	104	1	no	—
1639	C₂×C₄	—	104	1	no	—
1640	C₂×C₄	—	104	1	no	—
1641	C₂×C₄	—	104	1	no	—
1642	C₂×C₄	—	104	1	no	—
1643	C₂×C₄	—	104	1	no	—
1644	C₂×C₄	—	104	1	no	—
1645	C₂×C₄	—	104	1	no	—
1646	C₂×C₄	—	104	1	no	—
1647	C₂×C₄	—	104	1	no	—
1648	C₂×C₄	—	104	1	no	—
1649	C₂×C₄	—	104	1	no	—
1650	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1651	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1652	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1653	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1654	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1655	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1656	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1657	C₈	—	2	1	no	—
1658	C₈	—	2	1	no	—
1659	C₈	—	2	1	no	—
1660	C₈	—	2	1	no	—
1661	C₈	—	26	1	no	—
1662	C₈	—	26	1	no	—
1663	C₈	—	26	1	no	—
1664	C₈	—	26	1	no	—
1665	C₂²	—	2	2	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	13	2	no	—
1675	C₂²	—	13	2	no	—
1676	C₂²	—	13	2	no	—
1677	C₂²	—	26	2	no	—
1678	C₂²	—	52	8	no	—
1679	C₂²	—	52	1	no	—
1680	C₂²	—	52	1	no	—
1681	C₂²	—	52	1	no	—
1682	C₂²	—	52	1	no	—
1683	C₂²	—	52	1	no	—
1684	C₂²	—	52	1	no	—
1685	C₂²	—	52	1	no	—
1686	C₂²	—	52	1	no	—
1687	C₂²	—	104	4	no	—
1688	C₂²	—	104	4	no	—
1689	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	—	4	1	no	—
1700	C₄	—	4	1	no	—
1701	C₄	—	13	2	no	—
1702	C₄	—	26	1	no	—
1703	C₄	—	26	1	no	—
1704	C₄	—	26	1	no	—
1705	C₄	—	26	1	no	—
1706	C₄	—	26	1	no	—
1707	C₄	—	26	1	no	—
1708	C₄	—	52	1	no	—
1709	C₄	—	52	1	no	—
1710	C₄	—	52	1	no	—
1711	C₄	—	52	1	no	—
1712	C₄	—	52	1	no	—
1713	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1714	C₄	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1715	C₂	—	4	2	no	—
1716	C₂	—	8	1	no	—
1717	C₂	—	8	1	no	—
1718	C₂	—	13	4	no	—
1719	C₂	—	52	2	no	—
1720	C₂	—	104	1	no	—
1721	C₂	—	104	1	no	—
1722	C₂	D₁₃×#548	1	1	yes	characteristic
1723	C₂	D₁₃×#575	1	1	yes	characteristic
1724	C₂	D₁₃×#576	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×#3370	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	D₁₃×#459	C₂
hypercenter	#3370	D₁₃
hypocenter	C₁₃	C₂×#3370
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3370

Complements

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

N	H ≅ G/N	type
1. D₁₃×#559	C₂	semidirect
2. D₁₃×#554	C₂	semidirect
3. #13127596	C₂	semidirect
4. #13127595	C₂	semidirect
5. #13127594	C₂	semidirect
6. #13127593	C₂	semidirect
7. #13127592	C₂	semidirect
8. #13127591	C₂	semidirect
9. #13127590	C₂	semidirect
10. #13127589	C₂	semidirect
11. #13127588	C₂	semidirect
12. #13127587	C₂	semidirect
13. #13127586	C₂	semidirect
14. #13127585	C₂	semidirect
15. #13127584	C₂	semidirect
16. #13127583	C₂	semidirect
17. #13127582	C₂	semidirect
18. D₁₃×#490	C₂	semidirect
19. D₁₃×#489	C₂	semidirect
20. D₁₃×#488	C₂	semidirect
21. D₁₃×#479	C₂	semidirect
22. D₁₃×#478	C₂	semidirect
23. D₁₃×#474	C₂	semidirect
24. D₁₃×#463	C₂	semidirect
25. D₁₃×#463	C₂	semidirect
27. D₁₃×#446	C₂	semidirect
28. D₁₃×#442	C₂	semidirect
29. D₁₃×#440	C₂	semidirect
30. C₄×D₈×D₁₃	C₂	semidirect
31. C₁₃×#3370	C₂	semidirect
32. C₁₃×#559	C₂²	semidirect
33. C₁₃×#554	C₂²	semidirect
37. #11719435	C₂²	semidirect
40. #11719418	C₂²	semidirect
41. #11719395	C₂²	semidirect
42. #11719395	C₂²	semidirect
46. #11719386	C₂²	semidirect
47. #11719386	C₂²	semidirect
61. #11719290	C₂²	semidirect
62. #11719290	C₂²	semidirect
63. #11719284	C₂²	semidirect
67. #11719264	C₂²	semidirect
68. #11719264	C₂²	semidirect
75. #11719248	C₂²	semidirect
76. #11719244	C₂²	semidirect
77. #11719244	C₂²	semidirect
80. C₁₃×#490	C₂²	semidirect
81. C₁₃×#489	C₂²	semidirect
82. C₁₃×#488	C₂²	semidirect
83. C₁₃×#479	C₂²	semidirect
84. C₁₃×#478	C₂²	semidirect
85. C₁₃×#474	C₂²	semidirect
86. C₁₃×#463	C₂²	semidirect
87. C₁₃×#463	C₂²	semidirect
89. C₁₃×#446	C₂²	semidirect
90. C₁₃×#442	C₂²	semidirect
91. C₁₃×#440	C₂²	semidirect
92. C₄×C₁₃×D₈	C₂²	semidirect
93. #11718826	C₂²	semidirect
94. #11718826	C₂²	semidirect
95. #11718825	C₂²	semidirect
96. #11718814	C₂²	semidirect
97. #11718814	C₂²	semidirect
98. #11718813	C₂²	semidirect
101. D₈×Dic₁₃	C₂²	semidirect
102. #11718750	C₂²	semidirect
103. #11718748	C₂²	semidirect
105. #11718732	C₂²	semidirect
106. #11718729	C₂²	semidirect
107. #11718728	C₂²	semidirect
108. #11718727	C₂²	semidirect
109. #11718724	C₂²	semidirect
110. #11718718	C₂²	semidirect
111. #11718718	C₂²	semidirect
112. #11718717	C₂²	semidirect
113. #11718716	C₂²	semidirect
114. #11718687	C₂²	semidirect
115. #11718685	C₂²	semidirect
116. #11718683	C₂²	semidirect
117. #11718679	C₂²	semidirect
118. #11718677	C₂²	semidirect
119. #11718677	C₂²	semidirect
121. #11718675	C₂²	semidirect
122. #11718675	C₂²	semidirect
123. C₄×#6104	C₂²	semidirect
124. C₄×#6104	C₂²	semidirect
125. #11718670	C₂²	semidirect
126. #11718668	C₂²	semidirect
127. #11718552	C₂²	semidirect
128. #11718551	C₂²	semidirect
129. #11718551	C₂²	semidirect
130. #11718550	C₂²	semidirect
133. #11718538	C₂²	semidirect
134. #11718533	C₂²	semidirect
135. #11718532	C₂²	semidirect
136. #11718530	C₂²	semidirect
138. #11718518	C₂²	semidirect
139. #11718508	C₂²	semidirect
140. #11718507	C₂²	semidirect
141. #11718505	C₂²	semidirect
142. #11718505	C₂²	semidirect
147. #11718492	C₂²	semidirect
148. #11718490	C₂²	semidirect
149. #11718489	C₂²	semidirect
150. #11718489	C₂²	semidirect
151. #11718480	C₂²	semidirect
152. #11718480	C₂²	semidirect
153. #11718478	C₂²	semidirect
157. #11718461	C₂²	semidirect
158. #11718461	C₂²	semidirect
159. #11718460	C₂²	semidirect
160. #11718457	C₂²	semidirect
161. #11718456	C₂²	semidirect
162. #11718456	C₂²	semidirect
163. #11718448	C₂²	semidirect
164. #11718448	C₂²	semidirect
167. #11718446	C₂²	semidirect
168. #11718446	C₂²	semidirect
176. #11718429	C₂²	semidirect
177. #11718429	C₂²	semidirect
178. #11718427	C₂²	semidirect
179. #11718426	C₂²	semidirect
180. #11718426	C₂²	semidirect
181. #11718425	C₂²	semidirect
182. #11718425	C₂²	semidirect
183. #11718425	C₂²	semidirect
184. #11718425	C₂²	semidirect
185. #11718424	C₂²	semidirect
186. #11718420	C₂²	semidirect
187. #11718420	C₂²	semidirect
188. #11718418	C₂²	semidirect
189. #11718417	C₂²	semidirect
190. #11718417	C₂²	semidirect
191. #11718375	C₂²	semidirect
192. #11718374	C₂²	semidirect
193. #11718372	C₂²	semidirect
194. #11718371	C₂²	semidirect
197. #11718362	C₂²	semidirect
198. #11718362	C₂²	semidirect
199. #11718358	C₂²	semidirect
200. C₄×D₁₀₄	C₂²	semidirect
202. #11718340	C₂²	semidirect
703. #3370	D₁₃	direct (N × H)
848. #559	C₂×D₁₃	semidirect
860. #554	C₂×D₁₃	semidirect
889. #490	C₂×D₁₃	semidirect
897. #489	C₂×D₁₃	semidirect
905. #488	C₂×D₁₃	semidirect
913. #479	C₂×D₁₃	semidirect
921. #478	C₂×D₁₃	semidirect
929. #474	C₂×D₁₃	semidirect
944. #463	C₂×D₁₃	semidirect
945. #463	C₂×D₁₃	semidirect
961. #446	C₂×D₁₃	semidirect
969. #442	C₂×D₁₃	semidirect
977. #440	C₂×D₁₃	semidirect
985. C₄×D₈	C₂×D₁₃	semidirect
1342. D₁₃	#3370	direct (N × H)
1547. C₁₃	C₂×#3370	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#559	2
D₁₃×#554	2
#13127596	2
#13127595	2
#13127594	2
#13127593	2
#13127592	2
#13127591	2
#13127590	2
#13127589	2
#13127588	2
#13127587	2
#13127586	2
#13127585	2
#13127584	2
#13127583	2
#13127582	2
D₁₃×#490	2
D₁₃×#489	2
D₁₃×#488	2
D₁₃×#479	2
D₁₃×#478	2
D₁₃×#474	2
D₁₃×#463	2
D₁₃×#459	2
D₁₃×#446	2
D₁₃×#442	2
D₁₃×#440	2
C₄×D₈×D₁₃	2
C₁₃×#3370	2
C₂×#3370	13

Subgroups — D13×#3370 #16742660

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3370 #16742660