Subgroups — #16740091

Order 3328.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#556	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128325	C₂	1	1	yes	maximal, characteristic
3	#13127115	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127112	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127065	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127062	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126907	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126902	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126899	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126879	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126874	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126871	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126866	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126771	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126768	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126751	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126748	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125228	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124768	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124764	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124650	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124463	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124461	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124306	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124095	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124093	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123652	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123569	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123354	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123351	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3313	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×#6131	C₂²	1	1	yes	characteristic
34	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#548	C₂²	1	1	yes	characteristic
36	#11719539	C₂²	1	1	yes	characteristic
37	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
38	C₂×#88172	C₂²	1	1	yes	characteristic
39	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
41	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂²×#6094	C₂²	1	1	yes	characteristic, complemented
43	#11719437	C₂²	1	1	yes	characteristic, complemented
44	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	D₁₃×#126	—	2	1	no	—
46	D₁₃×#126	—	2	1	no	—
47	#11719407	—	2	1	no	—
48	#11719407	—	2	1	no	—
49	#11719381	—	2	1	no	—
50	#11719381	C₂²	1	1	yes	characteristic
51	D₁₃×#124	—	2	1	no	—
52	#11719376	—	2	1	no	—
53	#11719373	—	2	1	no	—
54	#11719373	C₂²	1	1	yes	characteristic
55	#11719346	C₂²	1	1	yes	characteristic
56	#11719346	C₂²	1	1	yes	characteristic, complemented
57	#11719336	—	2	1	no	—
58	#11719336	C₂²	1	1	yes	characteristic
59	#11719332	—	2	1	no	—
60	#11719332	C₂²	1	1	yes	characteristic
61	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
62	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
63	#11719314	—	2	1	no	—
64	#11719314	C₂²	1	1	yes	characteristic
65	#11719311	—	2	1	no	—
66	#11719311	C₂²	1	1	yes	characteristic
67	#11719289	C₂²	1	1	yes	characteristic, complemented
68	#11719281	C₂²	1	1	yes	characteristic
69	C₄×#6131	C₂²	1	1	yes	characteristic
70	C₄×Q₈×D₁₃	—	2	1	no	—
71	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
72	#11719273	—	2	1	no	—
73	#11719255	—	2	1	no	—
74	#11719255	C₂²	1	1	yes	characteristic
75	C₄×D₄×D₁₃	—	2	1	no	—
76	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
77	#11719247	C₂²	1	1	yes	characteristic, complemented
78	#11719238	C₂²	1	1	yes	characteristic
79	#11719238	C₂²	1	1	yes	characteristic, complemented
80	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
81	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
95	#11718900	C₂²	1	1	yes	characteristic, complemented
96	#11718894	C₂²	1	1	yes	characteristic, complemented
97	#11718889	C₂²	1	1	yes	characteristic, complemented
98	#11718886	C₂²	1	1	yes	characteristic, complemented
99	#11718850	C₂²	1	1	yes	characteristic, complemented
100	#11718848	C₂²	1	1	yes	characteristic, complemented
101	#11718848	C₂²	1	1	yes	characteristic, complemented
102	#11718847	C₂²	1	1	yes	characteristic, complemented
103	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
104	#11718843	C₂²	1	1	yes	characteristic, complemented
105	#11718832	C₂²	1	1	yes	characteristic, complemented
106	#11718830	C₂²	1	1	yes	characteristic, complemented
107	#11718824	C₂²	1	1	yes	characteristic, complemented
108	#11718798	C₂²	1	1	yes	characteristic, complemented
109	#11718792	C₂²	1	1	yes	characteristic, complemented
110	#11718789	C₂²	1	1	yes	characteristic
111	#11718775	C₂²	1	1	yes	characteristic, complemented
112	#11718774	C₂²	1	1	yes	characteristic, complemented
113	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
114	#11718750	C₂²	1	1	yes	characteristic, complemented
115	#11718745	C₂²	1	1	yes	characteristic, complemented
116	#11718716	C₂²	1	1	yes	characteristic, complemented
117	#11718715	C₂²	1	1	yes	characteristic, complemented
118	#11718713	C₂²	1	1	yes	characteristic, complemented
119	#11718712	C₂²	1	1	yes	characteristic, complemented
120	#11718709	C₂²	1	1	yes	characteristic, complemented
121	#11718708	C₂²	1	1	yes	characteristic, complemented
122	#11718707	C₂²	1	1	yes	characteristic, complemented
123	#11718706	C₂²	1	1	yes	characteristic, complemented
124	#11718703	C₂²	1	1	yes	characteristic, complemented
125	#11718696	C₂²	1	1	yes	characteristic, complemented
126	#11718691	C₂²	1	1	yes	characteristic, complemented
127	#11718689	C₂²	1	1	yes	characteristic, complemented
128	#11718687	C₂²	1	1	yes	characteristic, complemented
129	#11718682	C₂²	1	1	yes	characteristic, complemented
130	#11718672	C₂²	1	1	yes	characteristic, complemented
131	#11718664	C₂²	1	1	yes	characteristic, complemented
132	#11718663	C₂²	1	1	yes	characteristic, complemented
133	#11718662	C₂²	1	1	yes	characteristic, complemented
134	#11718657	C₂²	1	1	yes	characteristic, complemented
135	#11718551	C₂²	1	1	yes	characteristic, complemented
136	#11718551	C₂²	1	1	yes	characteristic, complemented
137	#11718549	C₂²	1	1	yes	characteristic, complemented
138	#11718548	C₂²	1	1	yes	characteristic, complemented
139	#11718547	C₂²	1	1	yes	characteristic, complemented
140	#11718546	C₂²	1	1	yes	characteristic, complemented
141	#11718542	C₂²	1	1	yes	characteristic, complemented
142	#11718542	C₂²	1	1	yes	characteristic, complemented
143	#11718528	C₂²	1	1	yes	characteristic, complemented
144	#11718527	C₂²	1	1	yes	characteristic, complemented
145	#11718522	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718506	C₂²	1	1	yes	characteristic, complemented
148	#11718503	C₂²	1	1	yes	characteristic, complemented
149	#11718498	C₂²	1	1	yes	characteristic, complemented
150	#11718497	C₂²	1	1	yes	characteristic, complemented
151	#11718477	C₂²	1	1	yes	characteristic, complemented
152	#11718476	C₂²	1	1	yes	characteristic, complemented
153	#11718475	C₂²	1	1	yes	characteristic, complemented
154	#11718474	C₂²	1	1	yes	characteristic, complemented
155	#11718473	C₂²	1	1	yes	characteristic, complemented
156	#11718471	C₂²	1	1	yes	characteristic, complemented
157	#11718471	C₂²	1	1	yes	characteristic, complemented
158	#11718469	C₂²	1	1	yes	characteristic, complemented
159	#11718465	C₂²	1	1	yes	characteristic, complemented
160	#11718465	C₂²	1	1	yes	characteristic, complemented
161	#11718465	C₂²	1	1	yes	characteristic, complemented
162	#11718465	C₂²	1	1	yes	characteristic, complemented
163	#11718464	C₂²	1	1	yes	characteristic
164	#11718464	C₂²	1	1	yes	characteristic
165	#11718464	C₂²	1	1	yes	characteristic
166	#11718464	C₂²	1	1	yes	characteristic, complemented
167	#11718464	C₂²	1	1	yes	characteristic, complemented
168	#11718464	C₂²	1	1	yes	characteristic, complemented
169	#11718463	C₂²	1	1	yes	characteristic, complemented
170	#11718463	C₂²	1	1	yes	characteristic, complemented
171	#11718463	C₂²	1	1	yes	characteristic, complemented
172	#11718454	C₂²	1	1	yes	characteristic, complemented
173	#11718453	C₂²	1	1	yes	characteristic, complemented
174	#11718453	C₂²	1	1	yes	characteristic, complemented
175	#11718452	C₂²	1	1	yes	characteristic, complemented
176	#11718452	C₂²	1	1	yes	characteristic, complemented
177	#11718451	C₂²	1	1	yes	characteristic, complemented
178	#11718449	C₂²	1	1	yes	characteristic, complemented
179	#11718445	C₂²	1	1	yes	characteristic, complemented
180	#11718440	C₂²	1	1	yes	characteristic, complemented
181	#11718439	C₂²	1	1	yes	characteristic, complemented
182	#11718437	C₂²	1	1	yes	characteristic, complemented
183	#11718432	C₂²	1	1	yes	characteristic, complemented
184	#11718432	C₂²	1	1	yes	characteristic, complemented
185	#11718432	C₂²	1	1	yes	characteristic, complemented
186	#11718431	C₂²	1	1	yes	characteristic, complemented
187	#11718431	C₂²	1	1	yes	characteristic, complemented
188	#11718423	C₂²	1	1	yes	characteristic, complemented
189	#11718421	C₂²	1	1	yes	characteristic, complemented
190	#11718421	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718394	C₂²	1	1	yes	characteristic, complemented
193	#11718392	C₂²	1	1	yes	characteristic, complemented
194	#11718390	C₂²	1	1	yes	characteristic
195	#11718387	C₂²	1	1	yes	characteristic, complemented
196	#11718387	C₂²	1	1	yes	characteristic, complemented
197	#11718386	C₂²	1	1	yes	characteristic, complemented
198	#11718384	C₂²	1	1	yes	characteristic, complemented
199	#11718375	C₂²	1	1	yes	characteristic, complemented
200	#11718371	C₂²	1	1	yes	characteristic, complemented
201	#11718368	C₂²	1	1	yes	characteristic, complemented
202	#11718367	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	#41×D₁₃	—	2	4	no	—
206	#41×D₁₃	—	4	2	no	—
207	C₂×#6131	—	2	1	no	—
208	C₂×#6131	—	2	1	no	—
209	C₂×#6131	—	2	4	no	—
210	C₂×#6131	—	4	2	no	—
211	C₂×#6131	C₂³	1	1	yes	characteristic
212	C₂×#6131	C₂³	1	1	yes	characteristic
213	C₂×#6131	C₂³	1	1	yes	characteristic
214	C₂×#6131	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₁₃	—	2	1	no	—
216	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×#6129	—	2	1	no	—
219	C₂×#6129	C₂³	1	1	yes	characteristic
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	—	2	1	no	—
222	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
223	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
224	C₂×#6127	—	2	1	no	—
225	C₂×#6127	C₂³	1	1	yes	characteristic
226	C₂²×D₅₂	—	2	1	no	—
227	C₂²×D₅₂	C₂³	1	1	yes	characteristic
228	C₂²×C₄×D₁₃	—	2	1	no	—
229	C₂²×C₄×D₁₃	—	2	1	no	—
230	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×#126	—	2	1	no	—
239	C₁₃×#126	—	2	1	no	—
240	C₁₃×#124	—	2	1	no	—
241	C₁₃×#124	—	2	1	no	—
242	C₁₃×#124	C₂³	1	1	yes	characteristic
243	C₁₃×C₂²⋊Q₈	—	2	1	no	—
244	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×#121	—	2	1	no	—
248	C₁₃×#121	C₂³	1	1	yes	characteristic
249	C₄×Q₈×C₁₃	—	2	1	no	—
250	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
254	C₁₃×#117	C₂³	1	1	yes	characteristic
255	C₁₃×#117	C₂³	1	1	yes	characteristic
256	#88201	—	2	1	no	—
257	#88200	—	2	1	no	—
258	#88200	C₂³	1	1	yes	characteristic
259	#88200	C₂³	1	1	yes	characteristic
260	#88200	C₂³	1	1	yes	characteristic
261	Q₈×Dic₁₃	—	2	1	no	—
262	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
263	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
264	#88198	—	2	1	no	—
265	#88198	—	2	1	no	—
266	#88198	C₂³	1	1	yes	characteristic
267	C₂×#6107	C₂³	1	1	yes	characteristic
268	C₂×#6107	C₂³	1	1	yes	characteristic
269	C₂×#6107	C₂³	1	1	yes	characteristic
270	C₂×#6106	C₂³	1	1	yes	characteristic
271	C₂×#6106	C₂³	1	1	yes	characteristic
272	#88194	—	2	1	no	—
273	#88194	C₂³	1	1	yes	characteristic
274	#88192	—	2	1	no	—
275	#88192	C₂³	1	1	yes	characteristic
276	#88191	—	2	1	no	—
277	#88191	—	2	1	no	—
278	#88191	—	2	1	no	—
279	#88190	—	2	1	no	—
280	D₄×Dic₁₃	—	2	1	no	—
281	D₄×Dic₁₃	D₄	1	1	yes	characteristic
282	C₂×#6105	C₂³	1	1	yes	characteristic
283	#88184	—	2	1	no	—
284	#88184	C₂³	1	1	yes	characteristic
285	C₄×C₂²⋊D₁₃	—	2	1	no	—
286	C₄×C₂²⋊D₁₃	—	2	1	no	—
287	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
288	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
289	#88180	C₂³	1	1	yes	characteristic
290	#88180	C₂³	1	1	yes	characteristic
291	#88178	—	2	1	no	—
292	#88178	C₂³	1	1	yes	characteristic
293	#88178	C₂³	1	1	yes	characteristic
294	#88178	C₂³	1	1	yes	characteristic
295	C₂×#6099	C₂³	1	1	yes	characteristic
296	C₂²×#1055	C₂³	1	1	yes	characteristic
297	#88172	—	2	4	no	—
298	#88172	—	4	2	no	—
299	#88169	—	4	2	no	—
300	M₁₆×D₁₃	—	4	2	no	—
301	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
302	C₂×#6095	C₂³	1	1	yes	characteristic
303	C₂×#6095	C₂³	1	1	yes	characteristic
304	C₂×#6094	—	4	2	no	—
305	C₂×#6094	C₂³	1	1	yes	characteristic
306	C₂×#6094	C₂³	1	1	yes	characteristic
307	C₂×#6094	C₂³	1	1	yes	characteristic
308	C₂×#6094	C₂³	1	1	yes	characteristic
309	C₂×#6094	C₂³	1	1	yes	characteristic
310	C₂×#6094	C₂³	1	1	yes	characteristic
311	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
313	#88152	—	2	1	no	—
314	#88152	—	2	1	no	—
315	#88152	—	2	1	no	—
316	#88152	—	2	1	no	—
317	#88152	—	2	1	no	—
318	#88152	—	2	1	no	—
319	#88151	—	2	1	no	—
320	#88151	C₂³	1	1	yes	characteristic
321	#88151	C₂³	1	1	yes	characteristic
322	#88151	C₂³	1	1	yes	characteristic
323	#88150	—	2	1	no	—
324	#88150	—	2	1	no	—
325	#88149	—	2	1	no	—
326	#88149	C₂³	1	1	yes	characteristic
327	#88148	—	2	1	no	—
328	#88148	—	2	1	no	—
329	#88148	—	2	1	no	—
330	#88147	—	2	1	no	—
331	#88147	—	2	1	no	—
332	#88147	D₄	1	1	yes	characteristic
333	#88147	C₂³	1	1	yes	characteristic
334	#88146	—	2	1	no	—
335	#88146	C₂³	1	1	yes	characteristic
336	#88146	C₂³	1	1	yes	characteristic
337	#88146	C₂³	1	1	yes	characteristic
338	#88146	C₂³	1	1	yes	characteristic
339	#88146	C₂³	1	1	yes	characteristic
340	C₄⋊C₄×D₁₃	—	2	1	no	—
341	C₄⋊C₄×D₁₃	—	2	1	no	—
342	C₄⋊C₄×D₁₃	—	2	1	no	—
343	C₄⋊C₄×D₁₃	—	2	1	no	—
344	C₄⋊C₄×D₁₃	—	2	1	no	—
345	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
346	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
347	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
348	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
349	#88142	—	2	1	no	—
350	#88142	C₂³	1	1	yes	characteristic
351	#88142	C₂³	1	1	yes	characteristic
352	#88141	—	2	1	no	—
353	#88141	—	2	1	no	—
354	#88141	—	2	1	no	—
355	#88141	—	2	1	no	—
356	#88141	C₂³	1	1	yes	characteristic
357	#88139	—	2	1	no	—
358	#88139	—	2	1	no	—
359	#88139	—	2	1	no	—
360	#88139	—	2	1	no	—
361	#88138	—	2	1	no	—
362	#88138	—	2	1	no	—
363	#88138	—	2	1	no	—
364	#88138	—	2	1	no	—
365	#88138	—	2	1	no	—
366	#88138	—	2	1	no	—
367	#88137	—	2	1	no	—
368	#88137	—	2	1	no	—
369	#88137	—	2	1	no	—
370	#88136	—	2	1	no	—
371	#88136	—	2	1	no	—
372	#88136	—	2	1	no	—
373	#88135	—	2	1	no	—
374	#88135	—	2	1	no	—
375	#88135	—	2	1	no	—
376	#88135	—	2	1	no	—
377	#88135	D₄	1	1	yes	characteristic
378	#88135	D₄	1	1	yes	characteristic
379	C₂²⋊C₄×D₁₃	—	2	1	no	—
380	C₂²⋊C₄×D₁₃	—	2	1	no	—
381	C₂²⋊C₄×D₁₃	—	2	1	no	—
382	C₂²⋊C₄×D₁₃	—	2	1	no	—
383	C₂²⋊C₄×D₁₃	—	2	1	no	—
384	C₂²⋊C₄×D₁₃	—	2	1	no	—
385	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
386	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
387	#88133	—	2	1	no	—
388	#88133	—	2	1	no	—
389	#88133	—	2	1	no	—
390	#88133	—	2	1	no	—
391	#88133	—	2	1	no	—
392	#88133	—	2	1	no	—
393	#88132	—	2	1	no	—
394	#88132	—	2	1	no	—
395	#88131	—	2	1	no	—
396	#88131	—	2	1	no	—
397	#88130	—	2	1	no	—
398	#88130	—	2	1	no	—
399	#88129	—	2	1	no	—
400	#88129	—	2	1	no	—
401	#88129	C₂³	1	1	yes	characteristic
402	C₄×D₅₂	—	2	1	no	—
403	C₄×D₅₂	—	2	1	no	—
404	C₄×D₅₂	C₂³	1	1	yes	characteristic
405	C₄×D₅₂	C₂³	1	1	yes	characteristic
406	#88126	—	2	1	no	—
407	#88126	—	2	1	no	—
408	C₄²×D₁₃	—	2	1	no	—
409	C₄²×D₁₃	—	2	1	no	—
410	C₄²×D₁₃	—	2	1	no	—
411	C₄²×D₁₃	—	2	1	no	—
412	C₄²×D₁₃	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	—	2	1	no	—
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₁₃×#107	C₂³	1	1	yes	characteristic
420	C₁₃×#107	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#103	C₂³	1	1	yes	characteristic
427	C₁₃×#103	C₂³	1	1	yes	characteristic
428	C₁₃×#103	C₂³	1	1	yes	characteristic
429	C₁₃×#103	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	C₁₃×#102	C₂³	1	1	yes	characteristic
432	C₁₃×#102	C₂³	1	1	yes	characteristic
433	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₃×#97	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88075	C₂³	1	1	yes	characteristic
439	#88075	C₂³	1	1	yes	characteristic
440	#88075	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88061	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic
458	#88058	C₂³	1	1	yes	characteristic
459	#88057	C₂³	1	1	yes	characteristic
460	#88057	C₂³	1	1	yes	characteristic
461	#88056	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88054	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
468	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
469	#88050	C₂³	1	1	yes	characteristic
470	#88050	C₂³	1	1	yes	characteristic
471	#88050	C₂³	1	1	yes	characteristic
472	#88050	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88048	C₂³	1	1	yes	characteristic
481	#88048	C₂³	1	1	yes	characteristic
482	#88047	C₂³	1	1	yes	characteristic
483	#88047	C₂³	1	1	yes	characteristic
484	#88047	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	#88043	C₂³	1	1	yes	characteristic
487	#61165	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	—	2	1	no	—
490	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
491	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
492	C₁₃×#41	—	2	2	no	—
493	C₁₃×#41	—	4	1	no	—
494	C₂×Q₈×C₁₃	—	2	1	no	—
495	C₂×Q₈×C₁₃	—	2	1	no	—
496	C₂×Q₈×C₁₃	—	2	2	no	—
497	C₂×Q₈×C₁₃	—	4	1	no	—
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
504	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₁₃	—	2	1	no	—
506	C₂²×C₄×C₁₃	—	2	1	no	—
507	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂²×Dic₁₃	—	2	1	no	—
519	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
521	#6131	—	2	2	no	—
522	#6131	—	2	2	no	—
523	#6131	—	2	2	no	—
524	#6131	—	2	2	no	—
525	#6131	—	2	2	no	—
526	#6131	—	4	4	no	—
527	#6131	—	4	1	no	—
528	#6131	—	4	1	no	—
529	#6131	—	4	4	no	—
530	#6131	#41	1	4	yes	—
531	Q₈×D₁₃	—	2	2	no	—
532	Q₈×D₁₃	—	2	2	no	—
533	Q₈×D₁₃	—	2	2	no	—
534	Q₈×D₁₃	—	4	1	no	—
535	Q₈×D₁₃	—	4	4	no	—
536	#6129	—	2	2	no	—
537	#6129	—	2	2	no	—
538	#6129	—	4	4	no	—
539	D₄×D₁₃	—	2	2	no	—
540	D₄×D₁₃	—	4	1	no	—
541	D₄×D₁₃	—	4	2	no	—
542	D₄×D₁₃	—	4	4	no	—
543	D₄×D₁₃	—	4	4	no	—
544	#6127	—	2	2	no	—
545	#6127	—	4	1	no	—
546	#6127	—	4	4	no	—
547	C₂×D₅₂	—	2	1	no	—
548	C₂×D₅₂	—	2	2	no	—
549	C₂×D₅₂	—	2	1	no	—
550	C₂×D₅₂	—	2	1	no	—
551	C₂×D₅₂	—	2	1	no	—
552	C₂×D₅₂	—	2	1	no	—
553	C₂×D₅₂	—	2	1	no	—
554	C₂×D₅₂	—	4	1	no	—
555	C₂×D₅₂	—	4	4	no	—
556	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
557	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
558	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
559	C₂×C₄×D₁₃	—	2	1	no	—
560	C₂×C₄×D₁₃	—	2	2	no	—
561	C₂×C₄×D₁₃	—	2	2	no	—
562	C₂×C₄×D₁₃	—	2	2	no	—
563	C₂×C₄×D₁₃	—	2	2	no	—
564	C₂×C₄×D₁₃	—	2	1	no	—
565	C₂×C₄×D₁₃	—	2	1	no	—
566	C₂×C₄×D₁₃	—	2	1	no	—
567	C₂×C₄×D₁₃	—	2	1	no	—
568	C₂×C₄×D₁₃	—	2	1	no	—
569	C₂×C₄×D₁₃	—	2	1	no	—
570	C₂×C₄×D₁₃	—	2	1	no	—
571	C₂×C₄×D₁₃	—	2	1	no	—
572	C₂×C₄×D₁₃	—	2	1	no	—
573	C₂×C₄×D₁₃	—	2	1	no	—
574	C₂×C₄×D₁₃	—	2	1	no	—
575	C₂×C₄×D₁₃	—	4	4	no	—
576	C₂×C₄×D₁₃	—	4	4	no	—
577	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
578	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
579	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
580	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
581	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
582	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
583	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
586	C₂×Dic₂₆	—	2	1	no	—
587	C₂×Dic₂₆	—	2	1	no	—
588	C₂×Dic₂₆	—	2	1	no	—
589	C₂×Dic₂₆	—	2	1	no	—
590	C₂×Dic₂₆	—	2	1	no	—
591	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
592	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
593	C₁₃×Q₁₆	—	2	2	no	—
594	C₁₃×Q₁₆	—	4	1	no	—
595	C₁₃×SD₁₆	—	4	1	no	—
596	C₁₃×M₁₆	—	4	1	no	—
597	C₂×C₈×C₁₃	—	4	1	no	—
598	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
599	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
600	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
601	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
602	C₁₃×C₄⋊C₄	—	2	1	no	—
603	C₁₃×C₄⋊C₄	—	2	1	no	—
604	C₁₃×C₄⋊C₄	—	2	1	no	—
605	C₁₃×C₄⋊C₄	—	2	1	no	—
606	C₁₃×C₄⋊C₄	—	2	1	no	—
607	C₁₃×C₄⋊C₄	—	2	1	no	—
608	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
611	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
613	C₁₃×C₂²⋊C₄	—	2	1	no	—
614	C₁₃×C₂²⋊C₄	—	2	1	no	—
615	C₁₃×C₂²⋊C₄	—	2	1	no	—
616	C₁₃×C₂²⋊C₄	—	2	1	no	—
617	C₁₃×C₂²⋊C₄	—	2	1	no	—
618	C₁₃×C₂²⋊C₄	—	2	1	no	—
619	C₁₃×C₂²⋊C₄	—	2	1	no	—
620	C₁₃×C₂²⋊C₄	—	2	1	no	—
621	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₄²×C₁₃	—	2	1	no	—
624	C₄²×C₁₃	—	2	1	no	—
625	C₄²×C₁₃	—	2	1	no	—
626	C₄²×C₁₃	—	2	1	no	—
627	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
628	C₂²⋊Dic₁₃	—	2	1	no	—
629	C₂²⋊Dic₁₃	—	2	1	no	—
630	C₂²⋊Dic₁₃	—	2	1	no	—
631	C₂²⋊Dic₁₃	—	2	1	no	—
632	C₂²⋊Dic₁₃	—	2	1	no	—
633	C₂²⋊Dic₁₃	—	2	1	no	—
634	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
635	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
636	#6107	—	2	2	no	—
637	#6107	—	4	1	no	—
638	#6107	—	4	1	no	—
639	#6106	—	2	2	no	—
640	#6106	—	4	1	no	—
641	#6105	—	4	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	C₂×D₄	1	1	yes	characteristic
660	#6103	C₂×D₄	1	1	yes	characteristic
661	#6103	C₂×D₄	1	1	yes	characteristic
662	#6103	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	—	2	1	no	—
667	C₄⋊Dic₁₃	—	2	1	no	—
668	C₄⋊Dic₁₃	—	2	1	no	—
669	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
670	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
671	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
672	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
673	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
674	#6101	—	2	1	no	—
675	#6101	—	2	1	no	—
676	#6101	—	2	1	no	—
677	#6101	—	2	1	no	—
678	#6101	—	2	1	no	—
679	#6101	—	2	1	no	—
680	#6101	—	2	1	no	—
681	#6101	—	2	1	no	—
682	#6101	—	2	1	no	—
683	#6101	—	2	1	no	—
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	#6101	—	2	1	no	—
688	#6101	—	2	1	no	—
689	#6101	C₂×D₄	1	1	yes	characteristic
690	#6101	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₁₃	—	2	1	no	—
692	C₄×Dic₁₃	—	2	1	no	—
693	C₄×Dic₁₃	—	2	1	no	—
694	C₄×Dic₁₃	—	2	1	no	—
695	C₄×Dic₁₃	—	2	1	no	—
696	C₄×Dic₁₃	—	2	1	no	—
697	C₄×Dic₁₃	—	2	1	no	—
698	C₄×Dic₁₃	—	2	1	no	—
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	—	2	1	no	—
702	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
703	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
704	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
705	#6099	—	4	1	no	—
706	C₂×#1055	—	4	1	no	—
707	C₂×#1055	C₂⁴	1	1	yes	characteristic
708	C₂×#1055	C₂⁴	1	1	yes	characteristic
709	C₂×#1055	C₂⁴	1	1	yes	characteristic
710	C₂×#1055	C₂⁴	1	1	yes	characteristic
711	Dic₅₂	—	4	1	no	—
712	#6095	—	2	2	no	—
713	#6095	—	4	1	no	—
714	#6094	—	2	2	no	—
715	#6094	—	2	2	no	—
716	#6094	—	2	2	no	—
717	#6094	—	2	2	no	—
718	#6094	—	4	1	no	—
719	#6094	—	4	1	no	—
720	C₈×D₁₃	—	4	1	no	—
721	C₈×D₁₃	—	4	1	no	—
722	C₂×#556	—	13	1	no	—
723	D₄×#41	—	13	1	no	—
724	#3328	—	13	1	no	—
725	#3328	—	13	1	no	—
726	#3324	—	13	1	no	—
727	#3324	—	13	1	no	—
728	#3313	—	13	1	no	—
729	#3313	—	13	1	no	—
730	#3313	—	13	1	no	—
731	#3313	D₁₃	1	1	yes	characteristic, complemented
732	#3311	—	13	1	no	—
733	#3311	—	13	1	no	—
734	#3311	—	13	1	no	—
735	#3311	—	13	1	no	—
736	#3304	—	13	1	no	—
737	#3304	—	13	1	no	—
738	#3302	—	13	1	no	—
739	#3302	—	13	1	no	—
740	#3141	—	13	1	no	—
741	#3093	—	13	1	no	—
742	#3093	—	13	1	no	—
743	#3079	—	13	1	no	—
744	#3056	—	13	1	no	—
745	#3056	—	13	1	no	—
746	#3037	—	13	1	no	—
747	#3007	—	13	1	no	—
748	#3007	—	13	1	no	—
749	C₄×#137	—	13	1	no	—
750	D₄×M₁₆	—	13	1	no	—
751	#2896	—	13	1	no	—
752	#2896	—	13	1	no	—
753	C₂³×C₁₃	—	2	1	no	—
754	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
755	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
756	C₂²×D₁₃	—	2	1	no	—
757	C₂²×D₁₃	—	2	2	no	—
758	C₂²×D₁₃	—	2	2	no	—
759	C₂²×D₁₃	—	2	1	no	—
760	C₂²×D₁₃	—	4	1	no	—
761	C₂²×D₁₃	—	4	1	no	—
762	C₂²×D₁₃	—	4	1	no	—
763	C₂²×D₁₃	—	4	1	no	—
764	C₂²×D₁₃	—	4	2	no	—
765	C₂²×D₁₃	—	4	2	no	—
766	C₂²×D₁₃	—	4	2	no	—
767	C₂²×D₁₃	—	4	2	no	—
768	C₂²×D₁₃	—	8	1	no	—
769	C₂²×D₁₃	—	8	1	no	—
770	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
771	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
772	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
773	Q₈×C₁₃	—	2	1	no	—
774	Q₈×C₁₃	—	2	1	no	—
775	Q₈×C₁₃	—	2	1	no	—
776	Q₈×C₁₃	—	2	1	no	—
777	Q₈×C₁₃	—	2	1	no	—
778	Q₈×C₁₃	—	4	2	no	—
779	Q₈×C₁₃	—	4	2	no	—
780	Q₈×C₁₃	C₂×#41	1	2	yes	—
781	D₄×C₁₃	—	2	1	no	—
782	D₄×C₁₃	—	2	1	no	—
783	D₄×C₁₃	—	4	1	no	—
784	D₄×C₁₃	—	4	2	no	—
785	D₄×C₁₃	—	4	2	no	—
786	C₂×C₄×C₁₃	—	2	1	no	—
787	C₂×C₄×C₁₃	—	2	1	no	—
788	C₂×C₄×C₁₃	—	2	1	no	—
789	C₂×C₄×C₁₃	—	2	1	no	—
790	C₂×C₄×C₁₃	—	2	1	no	—
791	C₂×C₄×C₁₃	—	2	1	no	—
792	C₂×C₄×C₁₃	—	2	1	no	—
793	C₂×C₄×C₁₃	—	2	1	no	—
794	C₂×C₄×C₁₃	—	2	1	no	—
795	C₂×C₄×C₁₃	—	2	1	no	—
796	C₂×C₄×C₁₃	—	2	1	no	—
797	C₂×C₄×C₁₃	—	4	2	no	—
798	C₂×C₄×C₁₃	—	4	2	no	—
799	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
801	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
802	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
803	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
804	C₂²⋊D₁₃	—	2	2	no	—
805	C₂²⋊D₁₃	—	2	2	no	—
806	C₂²⋊D₁₃	—	4	2	no	—
807	C₂²⋊D₁₃	—	4	2	no	—
808	C₂²⋊D₁₃	—	4	2	no	—
809	C₂²⋊D₁₃	—	4	2	no	—
810	C₂²⋊D₁₃	—	8	1	no	—
811	C₂²⋊D₁₃	—	8	1	no	—
812	C₂²⋊D₁₃	—	8	1	no	—
813	C₂×Dic₁₃	—	2	2	no	—
814	C₂×Dic₁₃	—	2	2	no	—
815	C₂×Dic₁₃	—	2	1	no	—
816	C₂×Dic₁₃	—	2	1	no	—
817	C₂×Dic₁₃	—	2	1	no	—
818	C₂×Dic₁₃	—	2	1	no	—
819	C₂×Dic₁₃	—	2	1	no	—
820	C₂×Dic₁₃	—	2	1	no	—
821	C₂×Dic₁₃	—	4	2	no	—
822	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
823	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
824	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
827	D₅₂	—	2	4	no	—
828	D₅₂	—	2	1	no	—
829	D₅₂	—	2	1	no	—
830	D₅₂	—	2	1	no	—
831	D₅₂	—	4	1	no	—
832	D₅₂	—	4	2	no	—
833	D₅₂	—	4	2	no	—
834	D₅₂	—	4	2	no	—
835	D₅₂	—	4	2	no	—
836	D₅₂	—	4	2	no	—
837	D₅₂	C₂×#41	1	2	yes	—
838	C₄×D₁₃	—	2	2	no	—
839	C₄×D₁₃	—	2	2	no	—
840	C₄×D₁₃	—	2	1	no	—
841	C₄×D₁₃	—	2	1	no	—
842	C₄×D₁₃	—	2	1	no	—
843	C₄×D₁₃	—	2	1	no	—
844	C₄×D₁₃	—	2	2	no	—
845	C₄×D₁₃	—	2	2	no	—
846	C₄×D₁₃	—	2	4	no	—
847	C₄×D₁₃	—	2	2	no	—
848	C₄×D₁₃	—	4	1	no	—
849	C₄×D₁₃	—	4	2	no	—
850	C₄×D₁₃	—	4	2	no	—
851	C₄×D₁₃	—	4	2	no	—
852	C₄×D₁₃	—	4	2	no	—
853	C₄×D₁₃	—	4	2	no	—
854	C₄×D₁₃	—	4	2	no	—
855	C₄×D₁₃	—	4	2	no	—
856	C₄×D₁₃	—	4	2	no	—
857	C₄×D₁₃	—	4	2	no	—
858	C₄×D₁₃	—	4	2	no	—
859	C₄×D₁₃	—	8	1	no	—
860	C₄×D₁₃	C₂×#41	1	2	yes	—
861	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
862	Dic₂₆	—	2	1	no	—
863	Dic₂₆	—	2	1	no	—
864	Dic₂₆	—	2	1	no	—
865	Dic₂₆	—	2	1	no	—
866	Dic₂₆	—	4	2	no	—
867	Dic₂₆	—	4	2	no	—
868	Dic₂₆	—	4	2	no	—
869	Dic₂₆	—	4	2	no	—
870	Dic₂₆	—	4	2	no	—
871	C₈×C₁₃	—	2	1	no	—
872	C₈×C₁₃	—	2	1	no	—
873	C₈×C₁₃	—	2	1	no	—
874	C₈×C₁₃	—	2	1	no	—
875	#1055	—	2	1	no	—
876	#1055	—	2	1	no	—
877	#1055	—	2	1	no	—
878	#1055	—	2	1	no	—
879	C₂²×#41	—	13	1	no	—
880	C₂²×#41	—	13	1	no	—
881	C₂×#137	—	13	1	no	—
882	C₂×#137	—	13	1	no	—
883	C₂×#137	—	13	1	no	—
884	C₂²×M₁₆	—	13	1	no	—
885	C₂²×M₁₆	—	13	1	no	—
886	#556	—	13	1	no	—
887	#556	—	13	1	no	—
888	#556	—	13	1	no	—
889	#556	—	13	1	no	—
890	#556	—	13	1	no	—
891	#556	—	13	1	no	—
892	#556	—	13	1	no	—
893	#556	—	26	1	no	—
894	#556	—	26	1	no	—
895	#556	—	26	1	no	—
896	#556	—	26	1	no	—
897	#556	C₂×D₁₃	1	1	yes	characteristic, complemented
898	#550	—	13	1	no	—
899	D₄×Q₈	—	13	1	no	—
900	#548	—	13	1	no	—
901	#548	C₂×D₁₃	1	1	yes	characteristic
902	#547	—	13	1	no	—
903	#547	—	26	1	no	—
904	#546	—	13	1	no	—
905	#546	—	13	1	no	—
906	#546	—	26	1	no	—
907	#546	—	26	1	no	—
908	D₄²	—	13	1	no	—
909	D₄²	—	26	1	no	—
910	#532	—	13	1	no	—
911	#532	—	26	1	no	—
912	C₂×C₄⋊Q₈	—	13	1	no	—
913	C₂×#126	—	26	1	no	—
914	C₂×#126	—	26	1	no	—
915	C₂×#124	—	26	1	no	—
916	#525	—	13	1	no	—
917	#525	—	13	1	no	—
918	#525	—	26	1	no	—
919	#525	—	26	1	no	—
920	C₂×C₂²⋊Q₈	—	13	1	no	—
921	C₂×C₂²⋊Q₈	—	13	1	no	—
922	C₄×#41	—	13	1	no	—
923	C₂×C₄×Q₈	—	13	1	no	—
924	C₂×C₄×Q₈	—	26	1	no	—
925	C₂×C₄×D₄	—	13	1	no	—
926	C₂×C₄×D₄	—	26	1	no	—
927	C₂×#117	—	13	1	no	—
928	C₂×#117	—	13	1	no	—
929	#489	—	13	1	no	—
930	#489	—	13	1	no	—
931	#489	—	13	1	no	—
932	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
933	#487	—	13	1	no	—
934	#487	—	13	1	no	—
935	#486	—	13	1	no	—
936	#486	—	13	1	no	—
937	#485	—	13	1	no	—
938	#485	—	13	1	no	—
939	#485	—	13	1	no	—
940	#485	—	13	1	no	—
941	#485	—	13	1	no	—
942	#485	—	13	1	no	—
943	#485	—	13	1	no	—
944	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
945	#482	—	13	1	no	—
946	#482	—	13	1	no	—
947	#482	—	13	1	no	—
948	#482	—	13	1	no	—
949	#482	—	13	1	no	—
950	#482	—	13	1	no	—
951	#482	—	13	1	no	—
952	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
953	#477	—	13	1	no	—
954	#477	C₂×D₁₃	1	1	yes	characteristic, complemented
955	#476	—	13	1	no	—
956	#476	—	13	1	no	—
957	#475	—	13	1	no	—
958	#475	—	13	1	no	—
959	#474	—	13	1	no	—
960	#474	—	13	1	no	—
961	#470	—	13	1	no	—
962	#470	—	13	1	no	—
963	#470	—	13	1	no	—
964	#470	—	13	1	no	—
965	#468	—	13	1	no	—
966	#468	—	13	1	no	—
967	#468	—	13	1	no	—
968	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
969	#467	—	13	1	no	—
970	#467	—	13	1	no	—
971	#467	—	13	1	no	—
972	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
973	#465	—	13	1	no	—
974	#465	—	13	1	no	—
975	#465	—	13	1	no	—
976	#465	—	13	1	no	—
977	#464	—	13	1	no	—
978	#464	—	13	1	no	—
979	#464	—	13	1	no	—
980	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
981	#462	—	13	1	no	—
982	#462	—	13	1	no	—
983	#460	—	13	1	no	—
984	#460	—	13	1	no	—
985	#452	—	13	1	no	—
986	#452	—	13	1	no	—
987	#452	—	13	1	no	—
988	#452	—	13	1	no	—
989	#452	—	13	1	no	—
990	#452	—	13	1	no	—
991	#452	—	13	1	no	—
992	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
993	#451	—	13	1	no	—
994	#451	—	13	1	no	—
995	#451	—	13	1	no	—
996	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
997	#450	—	13	1	no	—
998	#450	—	13	1	no	—
999	#450	—	13	1	no	—
1000	#450	—	13	1	no	—
1001	#441	—	13	1	no	—
1002	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
1003	#440	—	13	1	no	—
1004	#440	—	13	1	no	—
1005	C₄×Q₁₆	—	13	1	no	—
1006	C₄×Q₁₆	—	13	1	no	—
1007	C₄×SD₁₆	—	13	1	no	—
1008	C₄×SD₁₆	—	13	1	no	—
1009	#436	—	13	1	no	—
1010	#436	—	13	1	no	—
1011	#435	—	13	1	no	—
1012	#435	—	13	1	no	—
1013	#435	—	13	1	no	—
1014	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1015	C₈×D₄	—	13	1	no	—
1016	C₈×D₄	—	13	1	no	—
1017	#428	—	13	1	no	—
1018	#428	—	13	1	no	—
1019	#428	—	13	1	no	—
1020	#423	—	13	1	no	—
1021	#419	—	13	1	no	—
1022	#419	—	13	1	no	—
1023	#419	—	13	1	no	—
1024	#419	—	13	1	no	—
1025	#419	C₂×D₁₃	1	1	yes	characteristic, complemented
1026	#418	—	13	1	no	—
1027	#418	—	13	1	no	—
1028	#418	—	13	1	no	—
1029	#418	—	13	1	no	—
1030	#417	—	13	1	no	—
1031	#417	—	13	1	no	—
1032	#417	—	13	1	no	—
1033	#417	—	13	1	no	—
1034	#417	—	13	1	no	—
1035	#417	—	13	1	no	—
1036	#417	—	13	1	no	—
1037	#417	—	13	1	no	—
1038	#417	—	13	1	no	—
1039	#416	—	13	1	no	—
1040	#416	—	13	1	no	—
1041	#416	—	13	1	no	—
1042	#416	—	13	1	no	—
1043	#416	—	13	1	no	—
1044	#416	—	13	1	no	—
1045	#416	—	13	1	no	—
1046	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1047	#407	—	13	1	no	—
1048	#407	—	13	1	no	—
1049	C₄×M₁₆	—	13	1	no	—
1050	C₂²×C₁₃	—	2	1	no	—
1051	C₂²×C₁₃	—	2	1	no	—
1052	C₂²×C₁₃	—	2	1	no	—
1053	C₂²×C₁₃	—	2	1	no	—
1054	C₂²×C₁₃	—	2	1	no	—
1055	C₂²×C₁₃	—	2	1	no	—
1056	C₂²×C₁₃	—	4	1	no	—
1057	C₂²×C₁₃	—	4	1	no	—
1058	C₂²×C₁₃	—	4	1	no	—
1059	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1060	C₂×D₁₃	—	2	1	no	—
1061	C₂×D₁₃	—	2	1	no	—
1062	C₂×D₁₃	—	2	1	no	—
1063	C₂×D₁₃	—	2	1	no	—
1064	C₂×D₁₃	—	2	1	no	—
1065	C₂×D₁₃	—	2	1	no	—
1066	C₂×D₁₃	—	2	2	no	—
1067	C₂×D₁₃	—	2	1	no	—
1068	C₂×D₁₃	—	2	1	no	—
1069	C₂×D₁₃	—	4	1	no	—
1070	C₂×D₁₃	—	4	1	no	—
1071	C₂×D₁₃	—	4	1	no	—
1072	C₂×D₁₃	—	4	1	no	—
1073	C₂×D₁₃	—	4	1	no	—
1074	C₂×D₁₃	—	8	2	no	—
1075	C₂×D₁₃	—	8	2	no	—
1076	C₂×D₁₃	—	8	4	no	—
1077	C₂×D₁₃	—	8	4	no	—
1078	C₂×D₁₃	#546	1	2	yes	—
1079	C₄×C₁₃	—	2	1	no	—
1080	C₄×C₁₃	—	2	2	no	—
1081	C₄×C₁₃	—	2	1	no	—
1082	C₄×C₁₃	—	2	1	no	—
1083	C₄×C₁₃	—	2	1	no	—
1084	C₄×C₁₃	—	4	1	no	—
1085	C₄×C₁₃	—	4	1	no	—
1086	C₄×C₁₃	—	4	1	no	—
1087	C₄×C₁₃	—	4	1	no	—
1088	C₄×C₁₃	—	4	1	no	—
1089	C₄×C₁₃	—	4	1	no	—
1090	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1091	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1092	Dic₁₃	—	2	1	no	—
1093	Dic₁₃	—	2	1	no	—
1094	Dic₁₃	—	2	1	no	—
1095	Dic₁₃	—	4	1	no	—
1096	Dic₁₃	—	4	1	no	—
1097	Dic₁₃	—	4	1	no	—
1098	Dic₁₃	—	4	1	no	—
1099	Dic₁₃	—	4	1	no	—
1100	Dic₁₃	—	4	1	no	—
1101	Dic₁₃	#546	1	2	yes	—
1102	Dic₁₃	#575	1	2	yes	—
1103	C₂×#41	—	13	1	no	—
1104	C₂×#41	—	13	1	no	—
1105	C₂×#41	—	13	1	no	—
1106	C₂×#41	—	13	1	no	—
1107	C₂×#41	—	13	1	no	—
1108	C₂×#41	—	13	1	no	—
1109	C₂×#41	—	26	1	no	—
1110	C₂×#41	—	26	1	no	—
1111	C₂×#41	—	26	1	no	—
1112	C₂×#41	—	26	1	no	—
1113	C₂×#41	—	26	4	no	—
1114	C₂×#41	—	26	4	no	—
1115	C₂×#41	—	52	2	no	—
1116	C₂×#41	—	52	2	no	—
1117	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1118	C₂²×Q₈	—	13	1	no	—
1119	C₂²×Q₈	—	13	1	no	—
1120	C₂²×Q₈	—	26	1	no	—
1121	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1122	C₂²×D₄	—	13	1	no	—
1123	C₂²×D₄	—	13	1	no	—
1124	C₂²×D₄	—	13	1	no	—
1125	C₂²×D₄	—	26	1	no	—
1126	C₂²×D₄	—	26	1	no	—
1127	C₂²×D₄	—	26	1	no	—
1128	C₂³×C₄	—	13	1	no	—
1129	C₂³×C₄	—	13	1	no	—
1130	C₂³×C₄	—	26	1	no	—
1131	C₂³×C₄	—	26	1	no	—
1132	#137	—	26	4	no	—
1133	#137	—	52	2	no	—
1134	#137	—	52	2	no	—
1135	C₂×Q₁₆	—	13	1	no	—
1136	C₂×Q₁₆	—	13	1	no	—
1137	C₂×Q₁₆	—	13	1	no	—
1138	C₂×Q₁₆	—	13	1	no	—
1139	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1140	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1141	C₂×SD₁₆	—	13	1	no	—
1142	C₂×SD₁₆	—	13	1	no	—
1143	C₂×SD₁₆	—	13	1	no	—
1144	C₂×SD₁₆	—	13	1	no	—
1145	C₂×SD₁₆	—	13	1	no	—
1146	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1147	C₂×M₁₆	—	13	1	no	—
1148	C₂×M₁₆	—	13	1	no	—
1149	C₂×M₁₆	—	13	1	no	—
1150	C₂×M₁₆	—	13	1	no	—
1151	C₂×M₁₆	—	13	1	no	—
1152	C₂×M₁₆	—	13	1	no	—
1153	C₂×M₁₆	—	13	1	no	—
1154	C₂×M₁₆	—	52	2	no	—
1155	C₂×M₁₆	—	52	2	no	—
1156	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1157	C₂²×C₈	—	13	1	no	—
1158	C₂²×C₈	—	13	1	no	—
1159	C₂²×C₈	—	13	1	no	—
1160	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1161	C₄⋊Q₈	—	13	1	no	—
1162	C₄⋊Q₈	—	13	1	no	—
1163	C₄⋊Q₈	—	13	1	no	—
1164	C₄⋊Q₈	—	13	1	no	—
1165	C₄⋊Q₈	—	26	1	no	—
1166	C₄⋊Q₈	—	26	1	no	—
1167	C₄⋊Q₈	—	26	1	no	—
1168	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1169	#127	—	13	1	no	—
1170	#127	—	26	1	no	—
1171	#126	—	2	1	no	—
1172	#126	—	2	1	no	—
1173	#126	—	26	1	no	—
1174	#126	—	26	1	no	—
1175	#126	—	26	1	no	—
1176	#126	—	26	1	no	—
1177	#126	—	26	1	no	—
1178	#126	—	26	1	no	—
1179	#126	—	26	1	no	—
1180	#126	—	26	1	no	—
1181	#126	—	26	1	no	—
1182	#126	—	26	1	no	—
1183	#126	—	26	1	no	—
1184	#126	—	26	1	no	—
1185	#126	—	26	1	no	—
1186	#126	—	26	1	no	—
1187	#124	—	2	1	no	—
1188	#124	—	2	1	no	—
1189	#124	—	13	1	no	—
1190	#124	—	26	1	no	—
1191	#124	—	26	1	no	—
1192	#124	—	26	1	no	—
1193	#124	—	26	1	no	—
1194	#124	—	26	1	no	—
1195	#124	—	26	1	no	—
1196	#124	—	26	1	no	—
1197	#124	—	26	1	no	—
1198	#124	C₂²×D₁₃	1	1	yes	characteristic
1199	#123	—	26	1	no	—
1200	#123	—	26	1	no	—
1201	#123	—	26	1	no	—
1202	#123	—	26	1	no	—
1203	#123	—	26	1	no	—
1204	#123	—	26	1	no	—
1205	C₂²⋊Q₈	—	2	1	no	—
1206	C₂²⋊Q₈	—	13	1	no	—
1207	C₂²⋊Q₈	—	13	1	no	—
1208	C₂²⋊Q₈	—	13	1	no	—
1209	C₂²⋊Q₈	—	13	1	no	—
1210	C₂²⋊Q₈	—	13	1	no	—
1211	C₂²⋊Q₈	—	13	1	no	—
1212	C₂²⋊Q₈	—	13	1	no	—
1213	C₂²⋊Q₈	—	13	1	no	—
1214	C₂²⋊Q₈	—	13	1	no	—
1215	C₂²⋊Q₈	—	26	1	no	—
1216	C₂²⋊Q₈	—	26	1	no	—
1217	C₂²⋊Q₈	—	26	1	no	—
1218	C₂²⋊Q₈	—	26	1	no	—
1219	C₂²⋊Q₈	—	26	1	no	—
1220	C₂²⋊Q₈	—	26	1	no	—
1221	C₂²⋊Q₈	—	26	1	no	—
1222	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1223	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1224	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1225	#121	—	2	1	no	—
1226	#121	—	13	1	no	—
1227	#121	—	13	1	no	—
1228	#121	—	13	1	no	—
1229	#121	—	26	1	no	—
1230	#121	—	26	1	no	—
1231	#121	—	26	1	no	—
1232	#121	—	26	1	no	—
1233	#121	—	26	1	no	—
1234	#121	—	26	1	no	—
1235	#121	—	26	1	no	—
1236	#121	—	26	1	no	—
1237	#121	—	26	1	no	—
1238	#121	C₂²×D₁₃	1	1	yes	characteristic
1239	#120	—	26	1	no	—
1240	#120	—	26	1	no	—
1241	#120	—	26	1	no	—
1242	#120	—	26	1	no	—
1243	#120	—	26	1	no	—
1244	#120	—	26	1	no	—
1245	C₄×Q₈	—	2	1	no	—
1246	C₄×Q₈	—	13	1	no	—
1247	C₄×Q₈	—	13	1	no	—
1248	C₄×Q₈	—	13	1	no	—
1249	C₄×Q₈	—	13	1	no	—
1250	C₄×Q₈	—	26	1	no	—
1251	C₄×Q₈	—	26	1	no	—
1252	C₄×Q₈	—	26	1	no	—
1253	C₄×Q₈	—	26	1	no	—
1254	C₄×Q₈	—	26	1	no	—
1255	C₄×Q₈	—	26	1	no	—
1256	C₄×Q₈	—	26	1	no	—
1257	C₄×Q₈	—	26	1	no	—
1258	C₄×Q₈	—	26	1	no	—
1259	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1260	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1261	C₄×D₄	—	2	1	no	—
1262	C₄×D₄	—	13	1	no	—
1263	C₄×D₄	—	13	1	no	—
1264	C₄×D₄	—	13	1	no	—
1265	C₄×D₄	—	13	1	no	—
1266	C₄×D₄	—	13	1	no	—
1267	C₄×D₄	—	13	1	no	—
1268	C₄×D₄	—	13	1	no	—
1269	C₄×D₄	—	13	1	no	—
1270	C₄×D₄	—	13	1	no	—
1271	C₄×D₄	—	26	1	no	—
1272	C₄×D₄	—	26	1	no	—
1273	C₄×D₄	—	26	1	no	—
1274	C₄×D₄	—	26	1	no	—
1275	C₄×D₄	—	26	1	no	—
1276	C₄×D₄	—	26	1	no	—
1277	C₄×D₄	—	26	1	no	—
1278	C₄×D₄	—	26	1	no	—
1279	C₄×D₄	—	26	1	no	—
1280	C₄×D₄	—	26	1	no	—
1281	C₄×D₄	—	26	1	no	—
1282	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1283	#117	—	13	1	no	—
1284	#117	—	13	1	no	—
1285	#117	—	13	1	no	—
1286	#117	—	13	1	no	—
1287	#117	—	13	1	no	—
1288	#117	—	13	1	no	—
1289	#117	—	13	1	no	—
1290	#117	—	26	1	no	—
1291	#117	—	26	1	no	—
1292	#117	—	26	1	no	—
1293	#117	—	26	1	no	—
1294	#117	—	26	1	no	—
1295	#117	C₂²×D₁₃	1	1	yes	characteristic
1296	#117	C₂²×D₁₃	1	1	yes	characteristic
1297	C₂×C₄⋊C₄	—	13	1	no	—
1298	C₂×C₄⋊C₄	—	13	1	no	—
1299	C₂×C₄⋊C₄	—	13	1	no	—
1300	C₂×C₄⋊C₄	—	13	1	no	—
1301	C₂×C₄⋊C₄	—	26	1	no	—
1302	C₂×C₄⋊C₄	—	26	1	no	—
1303	C₂×C₄⋊C₄	—	26	1	no	—
1304	C₂×C₄⋊C₄	—	26	1	no	—
1305	C₂×C₄⋊C₄	—	26	1	no	—
1306	C₂×C₂²⋊C₄	—	13	1	no	—
1307	C₂×C₂²⋊C₄	—	13	1	no	—
1308	C₂×C₂²⋊C₄	—	26	1	no	—
1309	C₂×C₂²⋊C₄	—	26	1	no	—
1310	C₂×C₂²⋊C₄	—	26	1	no	—
1311	C₂×C₂²⋊C₄	—	26	1	no	—
1312	C₂×C₂²⋊C₄	—	26	1	no	—
1313	C₂×C₂²⋊C₄	—	26	1	no	—
1314	C₂×C₄²	—	13	1	no	—
1315	C₂×C₄²	—	26	1	no	—
1316	C₂×C₄²	—	26	1	no	—
1317	C₂×C₄²	—	26	1	no	—
1318	C₂×C₄²	—	26	1	no	—
1319	#107	—	13	1	no	—
1320	#107	—	13	1	no	—
1321	#107	—	13	1	no	—
1322	#107	—	13	1	no	—
1323	#107	C₂²×D₁₃	1	1	yes	characteristic
1324	#107	C₂²×D₁₃	1	1	yes	characteristic
1325	#106	—	13	1	no	—
1326	#106	—	13	1	no	—
1327	#106	—	13	1	no	—
1328	#106	—	13	1	no	—
1329	#106	—	13	1	no	—
1330	#106	C₂²×D₁₃	1	1	yes	characteristic
1331	C₄⋊C₈	—	13	1	no	—
1332	C₄⋊C₈	—	13	1	no	—
1333	C₄⋊C₈	—	13	1	no	—
1334	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1335	#103	—	13	1	no	—
1336	#103	—	13	1	no	—
1337	#103	—	13	1	no	—
1338	#103	—	13	1	no	—
1339	#103	—	13	1	no	—
1340	#103	—	13	1	no	—
1341	#103	—	13	1	no	—
1342	#103	—	13	1	no	—
1343	#103	—	13	1	no	—
1344	#103	—	13	1	no	—
1345	#103	—	13	1	no	—
1346	#103	—	13	1	no	—
1347	#103	—	13	1	no	—
1348	#103	—	13	1	no	—
1349	#103	—	13	1	no	—
1350	#103	C₂²×D₁₃	1	1	yes	characteristic
1351	#103	C₂²×D₁₃	1	1	yes	characteristic
1352	#103	C₂²×D₁₃	1	1	yes	characteristic
1353	#103	C₂²×D₁₃	1	1	yes	characteristic
1354	#103	C₂²×D₁₃	1	1	yes	characteristic
1355	#103	C₂²×D₁₃	1	1	yes	characteristic
1356	#103	C₂²×D₁₃	1	1	yes	characteristic
1357	#102	—	13	1	no	—
1358	#102	—	13	1	no	—
1359	#102	—	13	1	no	—
1360	#102	—	13	1	no	—
1361	#102	—	13	1	no	—
1362	#102	—	13	1	no	—
1363	#102	—	13	1	no	—
1364	#102	—	13	1	no	—
1365	#102	—	13	1	no	—
1366	#102	—	13	1	no	—
1367	#102	—	13	1	no	—
1368	#102	—	13	1	no	—
1369	#102	—	13	1	no	—
1370	#102	—	13	1	no	—
1371	#102	—	13	1	no	—
1372	#102	C₂²×D₁₃	1	1	yes	characteristic
1373	#102	C₂²×D₁₃	1	1	yes	characteristic
1374	#102	C₂²×D₁₃	1	1	yes	characteristic
1375	C₂²⋊C₈	—	13	1	no	—
1376	C₂²⋊C₈	—	13	1	no	—
1377	C₂²⋊C₈	—	13	1	no	—
1378	C₂²⋊C₈	—	13	1	no	—
1379	C₂²⋊C₈	—	13	1	no	—
1380	C₂²⋊C₈	—	13	1	no	—
1381	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1382	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1383	#97	—	13	1	no	—
1384	#97	C₂²×D₁₃	1	1	yes	characteristic
1385	C₄×C₈	—	13	1	no	—
1386	C₄×C₈	—	13	1	no	—
1387	C₂×C₁₃	—	4	1	no	—
1388	C₂×C₁₃	—	4	1	no	—
1389	C₂×C₁₃	—	8	1	no	—
1390	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1391	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1392	C₂×C₁₃	#3586	1	1	yes	characteristic
1393	D₁₃	—	2	2	no	—
1394	D₁₃	—	4	1	no	—
1395	D₁₃	—	4	1	no	—
1396	D₁₃	—	4	2	no	—
1397	D₁₃	—	8	1	no	—
1398	C₂⁴	—	13	1	no	—
1399	C₂⁴	—	13	1	no	—
1400	C₂⁴	—	26	1	no	—
1401	C₂⁴	—	26	1	no	—
1402	#41	—	2	2	no	—
1403	#41	—	4	1	no	—
1404	#41	—	13	4	no	—
1405	#41	—	26	2	no	—
1406	#41	—	26	2	no	—
1407	#41	—	26	2	no	—
1408	#41	—	26	2	no	—
1409	#41	—	26	2	no	—
1410	#41	—	26	2	no	—
1411	#41	—	26	2	no	—
1412	#41	—	26	2	no	—
1413	#41	—	52	1	no	—
1414	#41	—	52	4	no	—
1415	#41	—	52	4	no	—
1416	#41	—	52	4	no	—
1417	#41	—	52	1	no	—
1418	#41	—	52	1	no	—
1419	#41	—	52	4	no	—
1420	C₂×Q₈	—	2	1	no	—
1421	C₂×Q₈	—	2	1	no	—
1422	C₂×Q₈	—	2	2	no	—
1423	C₂×Q₈	—	4	1	no	—
1424	C₂×Q₈	—	13	1	no	—
1425	C₂×Q₈	—	13	1	no	—
1426	C₂×Q₈	—	26	1	no	—
1427	C₂×Q₈	—	26	1	no	—
1428	C₂×Q₈	—	26	1	no	—
1429	C₂×Q₈	—	26	1	no	—
1430	C₂×Q₈	—	26	2	no	—
1431	C₂×Q₈	—	26	2	no	—
1432	C₂×Q₈	—	26	1	no	—
1433	C₂×Q₈	—	26	2	no	—
1434	C₂×Q₈	—	52	1	no	—
1435	C₂×Q₈	—	52	4	no	—
1436	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1437	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1438	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1439	C₂×D₄	—	2	1	no	—
1440	C₂×D₄	—	2	1	no	—
1441	C₂×D₄	—	13	1	no	—
1442	C₂×D₄	—	13	1	no	—
1443	C₂×D₄	—	13	1	no	—
1444	C₂×D₄	—	13	1	no	—
1445	C₂×D₄	—	13	1	no	—
1446	C₂×D₄	—	26	2	no	—
1447	C₂×D₄	—	26	1	no	—
1448	C₂×D₄	—	26	1	no	—
1449	C₂×D₄	—	26	1	no	—
1450	C₂×D₄	—	26	1	no	—
1451	C₂×D₄	—	26	1	no	—
1452	C₂×D₄	—	26	1	no	—
1453	C₂×D₄	—	26	1	no	—
1454	C₂×D₄	—	26	1	no	—
1455	C₂×D₄	—	26	2	no	—
1456	C₂×D₄	—	26	1	no	—
1457	C₂×D₄	—	26	1	no	—
1458	C₂×D₄	—	26	1	no	—
1459	C₂×D₄	—	26	1	no	—
1460	C₂×D₄	—	26	1	no	—
1461	C₂×D₄	—	52	1	no	—
1462	C₂×D₄	—	52	4	no	—
1463	C₂×D₄	—	52	1	no	—
1464	C₂×D₄	—	52	2	no	—
1465	C₂×D₄	—	52	4	no	—
1466	C₂×D₄	—	52	4	no	—
1467	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1468	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1469	C₂²×C₄	—	2	1	no	—
1470	C₂²×C₄	—	2	1	no	—
1471	C₂²×C₄	—	13	1	no	—
1472	C₂²×C₄	—	13	1	no	—
1473	C₂²×C₄	—	13	1	no	—
1474	C₂²×C₄	—	13	1	no	—
1475	C₂²×C₄	—	13	1	no	—
1476	C₂²×C₄	—	13	1	no	—
1477	C₂²×C₄	—	13	1	no	—
1478	C₂²×C₄	—	13	1	no	—
1479	C₂²×C₄	—	13	1	no	—
1480	C₂²×C₄	—	13	1	no	—
1481	C₂²×C₄	—	13	1	no	—
1482	C₂²×C₄	—	26	1	no	—
1483	C₂²×C₄	—	26	2	no	—
1484	C₂²×C₄	—	26	2	no	—
1485	C₂²×C₄	—	26	2	no	—
1486	C₂²×C₄	—	26	2	no	—
1487	C₂²×C₄	—	26	1	no	—
1488	C₂²×C₄	—	26	1	no	—
1489	C₂²×C₄	—	26	1	no	—
1490	C₂²×C₄	—	26	1	no	—
1491	C₂²×C₄	—	26	1	no	—
1492	C₂²×C₄	—	26	1	no	—
1493	C₂²×C₄	—	26	1	no	—
1494	C₂²×C₄	—	26	1	no	—
1495	C₂²×C₄	—	26	1	no	—
1496	C₂²×C₄	—	26	1	no	—
1497	C₂²×C₄	—	26	1	no	—
1498	C₂²×C₄	—	26	1	no	—
1499	C₂²×C₄	—	52	4	no	—
1500	C₂²×C₄	—	52	4	no	—
1501	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1502	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1503	Q₁₆	—	2	2	no	—
1504	Q₁₆	—	4	1	no	—
1505	Q₁₆	—	26	2	no	—
1506	Q₁₆	—	52	1	no	—
1507	Q₁₆	—	52	1	no	—
1508	Q₁₆	—	52	1	no	—
1509	SD₁₆	—	4	1	no	—
1510	SD₁₆	—	26	2	no	—
1511	SD₁₆	—	26	2	no	—
1512	SD₁₆	—	52	1	no	—
1513	SD₁₆	—	52	1	no	—
1514	SD₁₆	—	52	1	no	—
1515	M₁₆	—	4	1	no	—
1516	M₁₆	—	26	2	no	—
1517	M₁₆	—	26	2	no	—
1518	M₁₆	—	26	2	no	—
1519	M₁₆	—	26	2	no	—
1520	M₁₆	—	52	1	no	—
1521	M₁₆	—	52	1	no	—
1522	M₁₆	—	52	1	no	—
1523	C₂×C₈	—	4	1	no	—
1524	C₂×C₈	—	13	1	no	—
1525	C₂×C₈	—	13	1	no	—
1526	C₂×C₈	—	13	1	no	—
1527	C₂×C₈	—	13	1	no	—
1528	C₂×C₈	—	52	1	no	—
1529	C₂×C₈	—	52	1	no	—
1530	C₂×C₈	—	52	1	no	—
1531	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1532	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1533	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1534	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1535	C₄⋊C₄	—	2	1	no	—
1536	C₄⋊C₄	—	2	1	no	—
1537	C₄⋊C₄	—	2	1	no	—
1538	C₄⋊C₄	—	2	1	no	—
1539	C₄⋊C₄	—	2	1	no	—
1540	C₄⋊C₄	—	2	1	no	—
1541	C₄⋊C₄	—	13	1	no	—
1542	C₄⋊C₄	—	13	1	no	—
1543	C₄⋊C₄	—	13	1	no	—
1544	C₄⋊C₄	—	13	1	no	—
1545	C₄⋊C₄	—	13	1	no	—
1546	C₄⋊C₄	—	13	1	no	—
1547	C₄⋊C₄	—	13	1	no	—
1548	C₄⋊C₄	—	26	1	no	—
1549	C₄⋊C₄	—	26	1	no	—
1550	C₄⋊C₄	—	26	1	no	—
1551	C₄⋊C₄	—	26	1	no	—
1552	C₄⋊C₄	—	26	1	no	—
1553	C₄⋊C₄	—	26	1	no	—
1554	C₄⋊C₄	—	26	1	no	—
1555	C₄⋊C₄	—	26	1	no	—
1556	C₄⋊C₄	—	26	1	no	—
1557	C₄⋊C₄	—	26	1	no	—
1558	C₄⋊C₄	—	26	1	no	—
1559	C₄⋊C₄	—	26	1	no	—
1560	C₄⋊C₄	—	26	1	no	—
1561	C₄⋊C₄	—	26	1	no	—
1562	C₄⋊C₄	—	26	1	no	—
1563	C₄⋊C₄	—	26	1	no	—
1564	C₄⋊C₄	—	26	1	no	—
1565	C₄⋊C₄	—	26	1	no	—
1566	C₄⋊C₄	—	26	1	no	—
1567	C₄⋊C₄	—	26	1	no	—
1568	C₄⋊C₄	—	26	1	no	—
1569	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1570	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1571	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1572	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1573	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	2	1	no	—
1576	C₂²⋊C₄	—	2	1	no	—
1577	C₂²⋊C₄	—	2	1	no	—
1578	C₂²⋊C₄	—	2	1	no	—
1579	C₂²⋊C₄	—	2	1	no	—
1580	C₂²⋊C₄	—	2	1	no	—
1581	C₂²⋊C₄	—	2	1	no	—
1582	C₂²⋊C₄	—	13	1	no	—
1583	C₂²⋊C₄	—	13	1	no	—
1584	C₂²⋊C₄	—	13	1	no	—
1585	C₂²⋊C₄	—	13	1	no	—
1586	C₂²⋊C₄	—	13	1	no	—
1587	C₂²⋊C₄	—	13	1	no	—
1588	C₂²⋊C₄	—	26	1	no	—
1589	C₂²⋊C₄	—	26	1	no	—
1590	C₂²⋊C₄	—	26	1	no	—
1591	C₂²⋊C₄	—	26	1	no	—
1592	C₂²⋊C₄	—	26	1	no	—
1593	C₂²⋊C₄	—	26	1	no	—
1594	C₂²⋊C₄	—	26	1	no	—
1595	C₂²⋊C₄	—	26	1	no	—
1596	C₂²⋊C₄	—	26	1	no	—
1597	C₂²⋊C₄	—	26	1	no	—
1598	C₂²⋊C₄	—	26	1	no	—
1599	C₂²⋊C₄	—	26	1	no	—
1600	C₂²⋊C₄	—	26	1	no	—
1601	C₂²⋊C₄	—	26	1	no	—
1602	C₂²⋊C₄	—	26	1	no	—
1603	C₂²⋊C₄	—	26	1	no	—
1604	C₂²⋊C₄	—	26	1	no	—
1605	C₂²⋊C₄	—	26	1	no	—
1606	C₂²⋊C₄	—	26	1	no	—
1607	C₂²⋊C₄	—	26	1	no	—
1608	C₂²⋊C₄	—	26	1	no	—
1609	C₂²⋊C₄	—	26	1	no	—
1610	C₂²⋊C₄	—	26	1	no	—
1611	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1612	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1613	C₄²	—	2	1	no	—
1614	C₄²	—	2	1	no	—
1615	C₄²	—	2	1	no	—
1616	C₄²	—	2	1	no	—
1617	C₄²	—	13	1	no	—
1618	C₄²	—	13	1	no	—
1619	C₄²	—	13	1	no	—
1620	C₄²	—	26	1	no	—
1621	C₄²	—	26	1	no	—
1622	C₄²	—	26	1	no	—
1623	C₄²	—	26	1	no	—
1624	C₄²	—	26	1	no	—
1625	C₄²	—	26	1	no	—
1626	C₄²	—	26	1	no	—
1627	C₄²	—	26	1	no	—
1628	C₄²	—	26	1	no	—
1629	C₄²	—	26	1	no	—
1630	C₄²	—	26	1	no	—
1631	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1632	C₁₃	#61165	1	1	yes	characteristic, complemented, Sylow
1633	C₂³	—	2	1	no	—
1634	C₂³	—	13	1	no	—
1635	C₂³	—	13	1	no	—
1636	C₂³	—	13	1	no	—
1637	C₂³	—	26	2	no	—
1638	C₂³	—	26	2	no	—
1639	C₂³	—	26	1	no	—
1640	C₂³	—	26	1	no	—
1641	C₂³	—	52	1	no	—
1642	C₂³	—	52	1	no	—
1643	C₂³	—	52	1	no	—
1644	C₂³	—	52	1	no	—
1645	C₂³	—	52	2	no	—
1646	C₂³	—	52	2	no	—
1647	C₂³	—	52	2	no	—
1648	C₂³	—	52	2	no	—
1649	C₂³	—	104	1	no	—
1650	C₂³	—	104	1	no	—
1651	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1652	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1653	Q₈	—	2	1	no	—
1654	Q₈	—	2	1	no	—
1655	Q₈	—	2	1	no	—
1656	Q₈	—	2	1	no	—
1657	Q₈	—	2	1	no	—
1658	Q₈	—	4	2	no	—
1659	Q₈	—	4	2	no	—
1660	Q₈	—	26	1	no	—
1661	Q₈	—	26	1	no	—
1662	Q₈	—	26	1	no	—
1663	Q₈	—	26	1	no	—
1664	Q₈	—	52	2	no	—
1665	Q₈	—	52	2	no	—
1666	Q₈	—	52	2	no	—
1667	Q₈	—	52	2	no	—
1668	Q₈	—	52	2	no	—
1669	Q₈	#41×D₁₃	1	2	yes	—
1670	D₄	—	2	1	no	—
1671	D₄	—	2	1	no	—
1672	D₄	—	4	1	no	—
1673	D₄	—	4	2	no	—
1674	D₄	—	4	2	no	—
1675	D₄	—	13	2	no	—
1676	D₄	—	26	4	no	—
1677	D₄	—	26	2	no	—
1678	D₄	—	26	2	no	—
1679	D₄	—	26	1	no	—
1680	D₄	—	26	1	no	—
1681	D₄	—	26	1	no	—
1682	D₄	—	52	1	no	—
1683	D₄	—	52	2	no	—
1684	D₄	—	52	2	no	—
1685	D₄	—	52	2	no	—
1686	D₄	—	52	2	no	—
1687	D₄	—	52	2	no	—
1688	D₄	—	52	2	no	—
1689	D₄	—	52	2	no	—
1690	D₄	—	52	2	no	—
1691	D₄	—	52	2	no	—
1692	D₄	—	104	1	no	—
1693	D₄	—	104	1	no	—
1694	D₄	—	104	1	no	—
1695	C₂×C₄	—	2	1	no	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	2	1	no	—
1703	C₂×C₄	—	2	1	no	—
1704	C₂×C₄	—	2	1	no	—
1705	C₂×C₄	—	2	1	no	—
1706	C₂×C₄	—	4	2	no	—
1707	C₂×C₄	—	4	2	no	—
1708	C₂×C₄	—	13	1	no	—
1709	C₂×C₄	—	13	1	no	—
1710	C₂×C₄	—	13	2	no	—
1711	C₂×C₄	—	13	2	no	—
1712	C₂×C₄	—	13	1	no	—
1713	C₂×C₄	—	13	1	no	—
1714	C₂×C₄	—	13	1	no	—
1715	C₂×C₄	—	26	2	no	—
1716	C₂×C₄	—	26	2	no	—
1717	C₂×C₄	—	26	2	no	—
1718	C₂×C₄	—	26	4	no	—
1719	C₂×C₄	—	26	2	no	—
1720	C₂×C₄	—	26	2	no	—
1721	C₂×C₄	—	26	2	no	—
1722	C₂×C₄	—	26	2	no	—
1723	C₂×C₄	—	26	1	no	—
1724	C₂×C₄	—	26	1	no	—
1725	C₂×C₄	—	26	1	no	—
1726	C₂×C₄	—	26	1	no	—
1727	C₂×C₄	—	26	1	no	—
1728	C₂×C₄	—	26	1	no	—
1729	C₂×C₄	—	26	1	no	—
1730	C₂×C₄	—	26	1	no	—
1731	C₂×C₄	—	26	1	no	—
1732	C₂×C₄	—	26	1	no	—
1733	C₂×C₄	—	52	1	no	—
1734	C₂×C₄	—	52	2	no	—
1735	C₂×C₄	—	52	2	no	—
1736	C₂×C₄	—	52	2	no	—
1737	C₂×C₄	—	52	2	no	—
1738	C₂×C₄	—	52	2	no	—
1739	C₂×C₄	—	52	2	no	—
1740	C₂×C₄	—	52	2	no	—
1741	C₂×C₄	—	52	2	no	—
1742	C₂×C₄	—	52	2	no	—
1743	C₂×C₄	—	52	2	no	—
1744	C₂×C₄	—	52	2	no	—
1745	C₂×C₄	—	104	1	no	—
1746	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1747	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1748	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1749	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1750	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1751	C₈	—	2	1	no	—
1752	C₈	—	2	1	no	—
1753	C₈	—	2	1	no	—
1754	C₈	—	2	1	no	—
1755	C₈	—	26	1	no	—
1756	C₈	—	26	1	no	—
1757	C₈	—	26	1	no	—
1758	C₈	—	26	1	no	—
1759	C₂²	—	2	1	no	—
1760	C₂²	—	2	1	no	—
1761	C₂²	—	2	1	no	—
1762	C₂²	—	2	1	no	—
1763	C₂²	—	2	1	no	—
1764	C₂²	—	2	1	no	—
1765	C₂²	—	4	1	no	—
1766	C₂²	—	4	1	no	—
1767	C₂²	—	4	1	no	—
1768	C₂²	—	13	2	no	—
1769	C₂²	—	26	1	no	—
1770	C₂²	—	26	1	no	—
1771	C₂²	—	26	1	no	—
1772	C₂²	—	26	1	no	—
1773	C₂²	—	26	2	no	—
1774	C₂²	—	26	1	no	—
1775	C₂²	—	26	1	no	—
1776	C₂²	—	26	1	no	—
1777	C₂²	—	26	1	no	—
1778	C₂²	—	52	1	no	—
1779	C₂²	—	52	1	no	—
1780	C₂²	—	52	1	no	—
1781	C₂²	—	52	1	no	—
1782	C₂²	—	52	1	no	—
1783	C₂²	—	104	2	no	—
1784	C₂²	—	104	2	no	—
1785	C₂²	—	104	4	no	—
1786	C₂²	—	104	4	no	—
1787	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1788	C₄	—	2	1	no	—
1789	C₄	—	2	1	no	—
1790	C₄	—	2	2	no	—
1791	C₄	—	2	1	no	—
1792	C₄	—	2	1	no	—
1793	C₄	—	4	1	no	—
1794	C₄	—	4	1	no	—
1795	C₄	—	4	1	no	—
1796	C₄	—	4	1	no	—
1797	C₄	—	4	1	no	—
1798	C₄	—	4	1	no	—
1799	C₄	—	13	2	no	—
1800	C₄	—	13	2	no	—
1801	C₄	—	26	1	no	—
1802	C₄	—	26	1	no	—
1803	C₄	—	26	1	no	—
1804	C₄	—	52	1	no	—
1805	C₄	—	52	1	no	—
1806	C₄	—	52	1	no	—
1807	C₄	—	52	1	no	—
1808	C₄	—	52	1	no	—
1809	C₄	—	52	1	no	—
1810	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1811	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1812	C₂	—	4	1	no	—
1813	C₂	—	4	1	no	—
1814	C₂	—	8	1	no	—
1815	C₂	—	26	2	no	—
1816	C₂	—	52	1	no	—
1817	C₂	—	52	1	no	—
1818	C₂	—	52	2	no	—
1819	C₂	—	104	1	no	—
1820	C₂	D₁₃×#546	1	1	yes	characteristic
1821	C₂	D₁₃×#575	1	1	yes	characteristic
1822	C₂	#13129621	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3313	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128325	C₂
hypercenter	#3313	D₁₃
hypocenter	C₁₃	#61165
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3313

Complements

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

N	H ≅ G/N	type
1. D₁₃×#556	C₂	semidirect
3. #13127115	C₂	semidirect
4. #13127112	C₂	semidirect
5. #13127065	C₂	semidirect
6. #13127062	C₂	semidirect
7. #13126907	C₂	semidirect
8. #13126902	C₂	semidirect
9. #13126899	C₂	semidirect
10. #13126879	C₂	semidirect
11. #13126874	C₂	semidirect
12. #13126871	C₂	semidirect
13. #13126866	C₂	semidirect
14. #13126771	C₂	semidirect
15. #13126768	C₂	semidirect
16. #13126751	C₂	semidirect
17. #13126748	C₂	semidirect
18. #13125228	C₂	semidirect
19. #13124768	C₂	semidirect
20. #13124764	C₂	semidirect
21. #13124650	C₂	semidirect
22. #13124463	C₂	semidirect
23. #13124461	C₂	semidirect
24. #13124306	C₂	semidirect
25. #13124095	C₂	semidirect
26. #13124093	C₂	semidirect
27. #13123652	C₂	semidirect
28. #13123569	C₂	semidirect
29. #13123354	C₂	semidirect
30. #13123351	C₂	semidirect
31. C₁₃×#3313	C₂	semidirect
34. C₁₃×#556	C₂²	semidirect
39. C₂×#88172	C₂²	semidirect
40. C₂×#88169	C₂²	semidirect
41. C₂×M₁₆×D₁₃	C₂²	semidirect
42. C₂²×#6094	C₂²	semidirect
43. #11719437	C₂²	semidirect
44. D₁₃×C₄⋊Q₈	C₂²	semidirect
56. #11719346	C₂²	semidirect
61. D₁₃×C₂²⋊Q₈	C₂²	semidirect
62. D₁₃×C₂²⋊Q₈	C₂²	semidirect
67. #11719289	C₂²	semidirect
71. C₄×Q₈×D₁₃	C₂²	semidirect
77. #11719247	C₂²	semidirect
79. #11719238	C₂²	semidirect
80. D₁₃×#117	C₂²	semidirect
81. D₁₃×#117	C₂²	semidirect
82. C₁₃×#489	C₂²	semidirect
83. C₁₃×#485	C₂²	semidirect
84. C₁₃×#482	C₂²	semidirect
85. C₁₃×#477	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#467	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
89. C₁₃×#452	C₂²	semidirect
90. C₁₃×#451	C₂²	semidirect
91. C₁₃×#441	C₂²	semidirect
92. C₁₃×#435	C₂²	semidirect
93. C₁₃×#419	C₂²	semidirect
94. C₁₃×#416	C₂²	semidirect
95. #11718900	C₂²	semidirect
96. #11718894	C₂²	semidirect
97. #11718889	C₂²	semidirect
98. #11718886	C₂²	semidirect
99. #11718850	C₂²	semidirect
100. #11718848	C₂²	semidirect
101. #11718848	C₂²	semidirect
102. #11718847	C₂²	semidirect
103. Q₁₆×Dic₁₃	C₂²	semidirect
104. #11718843	C₂²	semidirect
105. #11718832	C₂²	semidirect
106. #11718830	C₂²	semidirect
107. #11718824	C₂²	semidirect
108. #11718798	C₂²	semidirect
109. #11718792	C₂²	semidirect
111. #11718775	C₂²	semidirect
112. #11718774	C₂²	semidirect
113. C₈×C₂²⋊D₁₃	C₂²	semidirect
114. #11718750	C₂²	semidirect
115. #11718745	C₂²	semidirect
116. #11718716	C₂²	semidirect
117. #11718715	C₂²	semidirect
118. #11718713	C₂²	semidirect
119. #11718712	C₂²	semidirect
120. #11718709	C₂²	semidirect
121. #11718708	C₂²	semidirect
122. #11718707	C₂²	semidirect
123. #11718706	C₂²	semidirect
124. #11718703	C₂²	semidirect
125. #11718696	C₂²	semidirect
126. #11718691	C₂²	semidirect
127. #11718689	C₂²	semidirect
128. #11718687	C₂²	semidirect
129. #11718682	C₂²	semidirect
130. #11718672	C₂²	semidirect
131. #11718664	C₂²	semidirect
132. #11718663	C₂²	semidirect
133. #11718662	C₂²	semidirect
134. #11718657	C₂²	semidirect
135. #11718551	C₂²	semidirect
136. #11718551	C₂²	semidirect
137. #11718549	C₂²	semidirect
138. #11718548	C₂²	semidirect
139. #11718547	C₂²	semidirect
140. #11718546	C₂²	semidirect
141. #11718542	C₂²	semidirect
142. #11718542	C₂²	semidirect
143. #11718528	C₂²	semidirect
144. #11718527	C₂²	semidirect
145. #11718522	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718506	C₂²	semidirect
148. #11718503	C₂²	semidirect
149. #11718498	C₂²	semidirect
150. #11718497	C₂²	semidirect
151. #11718477	C₂²	semidirect
152. #11718476	C₂²	semidirect
153. #11718475	C₂²	semidirect
154. #11718474	C₂²	semidirect
155. #11718473	C₂²	semidirect
156. #11718471	C₂²	semidirect
157. #11718471	C₂²	semidirect
158. #11718469	C₂²	semidirect
159. #11718465	C₂²	semidirect
160. #11718465	C₂²	semidirect
161. #11718465	C₂²	semidirect
162. #11718465	C₂²	semidirect
166. #11718464	C₂²	semidirect
167. #11718464	C₂²	semidirect
168. #11718464	C₂²	semidirect
169. #11718463	C₂²	semidirect
170. #11718463	C₂²	semidirect
171. #11718463	C₂²	semidirect
172. #11718454	C₂²	semidirect
173. #11718453	C₂²	semidirect
174. #11718453	C₂²	semidirect
175. #11718452	C₂²	semidirect
176. #11718452	C₂²	semidirect
177. #11718451	C₂²	semidirect
178. #11718449	C₂²	semidirect
179. #11718445	C₂²	semidirect
180. #11718440	C₂²	semidirect
181. #11718439	C₂²	semidirect
182. #11718437	C₂²	semidirect
183. #11718432	C₂²	semidirect
184. #11718432	C₂²	semidirect
185. #11718432	C₂²	semidirect
186. #11718431	C₂²	semidirect
187. #11718431	C₂²	semidirect
188. #11718423	C₂²	semidirect
189. #11718421	C₂²	semidirect
190. #11718421	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718394	C₂²	semidirect
193. #11718392	C₂²	semidirect
195. #11718387	C₂²	semidirect
196. #11718387	C₂²	semidirect
197. #11718386	C₂²	semidirect
198. #11718384	C₂²	semidirect
199. #11718375	C₂²	semidirect
200. #11718371	C₂²	semidirect
201. #11718368	C₂²	semidirect
202. #11718367	C₂²	semidirect
731. #3313	D₁₃	semidirect
897. #556	C₂×D₁₃	semidirect
932. #489	C₂×D₁₃	semidirect
944. #485	C₂×D₁₃	semidirect
952. #482	C₂×D₁₃	semidirect
954. #477	C₂×D₁₃	semidirect
968. #468	C₂×D₁₃	semidirect
972. #467	C₂×D₁₃	semidirect
980. #464	C₂×D₁₃	semidirect
992. #452	C₂×D₁₃	semidirect
996. #451	C₂×D₁₃	semidirect
1002. #441	C₂×D₁₃	semidirect
1014. #435	C₂×D₁₃	semidirect
1025. #419	C₂×D₁₃	semidirect
1046. #416	C₂×D₁₃	semidirect
1632. C₁₃	#61165	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#556	2
#13128325	2
#13127115	2
#13127112	2
#13127065	2
#13127062	2
#13126907	2
#13126902	2
#13126899	2
#13126879	2
#13126874	2
#13126871	2
#13126866	2
#13126771	2
#13126768	2
#13126751	2
#13126748	2
#13125228	2
#13124768	2
#13124764	2
#13124650	2
#13124463	2
#13124461	2
#13124306	2
#13124095	2
#13124093	2
#13123652	2
#13123569	2
#13123354	2
#13123351	2
C₁₃×#3313	2
#61165	13