Subgroups — #16748802

Order 3328.

2028 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129082	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128510	C₂	1	1	yes	maximal, characteristic
3	#13127107	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127098	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126933	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126890	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126886	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126672	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126668	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126585	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126583	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126480	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126478	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126413	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126411	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126348	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126344	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125920	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125918	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125724	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125721	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125656	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125610	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125055	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125054	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124134	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124128	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124097	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123883	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3315	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88257	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#547	C₂²	1	1	yes	characteristic
36	#11719534	C₂²	1	1	yes	characteristic
37	#11719529	C₂²	1	1	yes	characteristic
38	C₂×#88205	C₂²	1	1	yes	characteristic
39	C₂×#88205	C₂²	1	1	yes	characteristic, complemented
40	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic
41	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
43	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
44	C₂×#88163	C₂²	1	1	yes	characteristic
45	C₂²×Dic₅₂	C₂²	1	1	yes	characteristic, complemented
46	#11719432	C₂²	1	1	yes	characteristic
47	#11719429	C₂²	1	1	yes	characteristic
48	#11719417	—	2	1	no	—
49	#11719412	—	2	1	no	—
50	#11719404	—	2	1	no	—
51	#11719402	C₂²	1	1	yes	characteristic, complemented
52	#11719399	C₂²	1	1	yes	characteristic
53	#11719394	—	2	1	no	—
54	#11719370	—	2	1	no	—
55	#11719363	—	2	1	no	—
56	#11719361	—	2	1	no	—
57	#11719360	—	2	1	no	—
58	#11719359	—	2	1	no	—
59	#11719353	—	2	1	no	—
60	#11719338	C₂²	1	1	yes	characteristic
61	#11719337	C₂²	1	1	yes	characteristic
62	#11719337	C₂²	1	1	yes	characteristic
63	#11719337	C₂²	1	1	yes	characteristic, complemented
64	#11719334	C₂²	1	1	yes	characteristic
65	#11719333	C₂²	1	1	yes	characteristic, complemented
66	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
67	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
68	#11719315	—	2	1	no	—
69	#11719302	—	2	1	no	—
70	#11719288	C₂²	1	1	yes	characteristic, complemented
71	Q₈×D₅₂	C₂²	1	1	yes	characteristic
72	#11719259	C₂²	1	1	yes	characteristic
73	#11719257	C₂²	1	1	yes	characteristic
74	#11719252	C₂²	1	1	yes	characteristic
75	#11719251	C₂²	1	1	yes	characteristic
76	D₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
77	#11719234	C₂²	1	1	yes	characteristic
78	#11719232	—	2	1	no	—
79	#11719231	C₂²	1	1	yes	characteristic, complemented
80	#11719224	—	2	1	no	—
81	#11719218	C₂²	1	1	yes	characteristic, complemented
82	C₂×#88151	C₂²	1	1	yes	characteristic
83	C₂×#88150	—	2	1	no	—
84	#11719212	—	2	1	no	—
85	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#452	C₂²	1	1	yes	characteristic
93	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#417	C₂²	1	1	yes	characteristic
97	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
98	#11718900	C₂²	1	1	yes	characteristic
99	#11718900	C₂²	1	1	yes	characteristic, complemented
100	#11718851	C₂²	1	1	yes	characteristic, complemented
101	#11718848	C₂²	1	1	yes	characteristic
102	#11718847	C₂²	1	1	yes	characteristic
103	#11718847	C₂²	1	1	yes	characteristic, complemented
104	#11718847	C₂²	1	1	yes	characteristic, complemented
105	#11718842	C₂²	1	1	yes	characteristic, complemented
106	#11718834	C₂²	1	1	yes	characteristic
107	#11718823	C₂²	1	1	yes	characteristic, complemented
108	#11718798	C₂²	1	1	yes	characteristic, complemented
109	#11718788	C₂²	1	1	yes	characteristic, complemented
110	#11718787	C₂²	1	1	yes	characteristic
111	#11718775	C₂²	1	1	yes	characteristic, complemented
112	#11718771	C₂²	1	1	yes	characteristic, complemented
113	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
114	#11718753	C₂²	1	1	yes	characteristic, complemented
115	#11718751	C₂²	1	1	yes	characteristic, complemented
116	#11718729	C₂²	1	1	yes	characteristic, complemented
117	#11718724	C₂²	1	1	yes	characteristic, complemented
118	#11718713	C₂²	1	1	yes	characteristic, complemented
119	#11718713	C₂²	1	1	yes	characteristic, complemented
120	#11718713	C₂²	1	1	yes	characteristic, complemented
121	#11718711	C₂²	1	1	yes	characteristic, complemented
122	#11718711	C₂²	1	1	yes	characteristic, complemented
123	#11718711	C₂²	1	1	yes	characteristic, complemented
124	#11718710	C₂²	1	1	yes	characteristic, complemented
125	#11718708	C₂²	1	1	yes	characteristic
126	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
127	#11718689	C₂²	1	1	yes	characteristic, complemented
128	#11718680	C₂²	1	1	yes	characteristic, complemented
129	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
130	#11718673	C₂²	1	1	yes	characteristic, complemented
131	#11718665	C₂²	1	1	yes	characteristic, complemented
132	#11718664	C₂²	1	1	yes	characteristic, complemented
133	#11718631	C₂²	1	1	yes	characteristic, complemented
134	#11718627	C₂²	1	1	yes	characteristic
135	#11718548	C₂²	1	1	yes	characteristic
136	#11718548	C₂²	1	1	yes	characteristic
137	#11718547	C₂²	1	1	yes	characteristic, complemented
138	#11718546	C₂²	1	1	yes	characteristic, complemented
139	#11718545	C₂²	1	1	yes	characteristic, complemented
140	#11718545	C₂²	1	1	yes	characteristic, complemented
141	#11718538	C₂²	1	1	yes	characteristic, complemented
142	#11718534	C₂²	1	1	yes	characteristic, complemented
143	#11718525	C₂²	1	1	yes	characteristic, complemented
144	#11718523	C₂²	1	1	yes	characteristic
145	#11718523	C₂²	1	1	yes	characteristic, complemented
146	#11718514	C₂²	1	1	yes	characteristic, complemented
147	#11718510	C₂²	1	1	yes	characteristic, complemented
148	#11718506	C₂²	1	1	yes	characteristic, complemented
149	#11718501	C₂²	1	1	yes	characteristic, complemented
150	#11718495	C₂²	1	1	yes	characteristic
151	#11718477	C₂²	1	1	yes	characteristic, complemented
152	#11718476	C₂²	1	1	yes	characteristic, complemented
153	#11718474	C₂²	1	1	yes	characteristic
154	#11718474	C₂²	1	1	yes	characteristic
155	#11718474	C₂²	1	1	yes	characteristic, complemented
156	#11718471	C₂²	1	1	yes	characteristic
157	#11718471	C₂²	1	1	yes	characteristic
158	#11718471	C₂²	1	1	yes	characteristic
159	#11718469	C₂²	1	1	yes	characteristic
160	#11718469	C₂²	1	1	yes	characteristic
161	#11718469	C₂²	1	1	yes	characteristic
162	#11718469	C₂²	1	1	yes	characteristic, complemented
163	#11718469	C₂²	1	1	yes	characteristic, complemented
164	#11718469	C₂²	1	1	yes	characteristic, complemented
165	#11718469	C₂²	1	1	yes	characteristic, complemented
166	#11718469	C₂²	1	1	yes	characteristic, complemented
167	#11718467	C₂²	1	1	yes	characteristic, complemented
168	#11718466	C₂²	1	1	yes	characteristic
169	#11718466	C₂²	1	1	yes	characteristic, complemented
170	#11718463	C₂²	1	1	yes	characteristic, complemented
171	D₁₃×#103	C₂²	1	1	yes	characteristic
172	#11718461	C₂²	1	1	yes	characteristic, complemented
173	#11718459	C₂²	1	1	yes	characteristic, complemented
174	#11718459	C₂²	1	1	yes	characteristic, complemented
175	#11718458	C₂²	1	1	yes	characteristic, complemented
176	#11718454	C₂²	1	1	yes	characteristic, complemented
177	#11718454	C₂²	1	1	yes	characteristic, complemented
178	#11718454	C₂²	1	1	yes	characteristic, complemented
179	#11718444	C₂²	1	1	yes	characteristic
180	#11718444	C₂²	1	1	yes	characteristic
181	#11718444	C₂²	1	1	yes	characteristic
182	#11718444	C₂²	1	1	yes	characteristic, complemented
183	#11718444	C₂²	1	1	yes	characteristic, complemented
184	#11718437	C₂²	1	1	yes	characteristic
185	#11718437	C₂²	1	1	yes	characteristic
186	#11718433	C₂²	1	1	yes	characteristic, complemented
187	D₁₃×#102	C₂²	1	1	yes	characteristic
188	#11718424	C₂²	1	1	yes	characteristic, complemented
189	#11718419	C₂²	1	1	yes	characteristic, complemented
190	#11718418	C₂²	1	1	yes	characteristic, complemented
191	#11718400	C₂²	1	1	yes	characteristic, complemented
192	#11718400	C₂²	1	1	yes	characteristic, complemented
193	#11718399	C₂²	1	1	yes	characteristic, complemented
194	#11718394	C₂²	1	1	yes	characteristic
195	#11718390	C₂²	1	1	yes	characteristic, complemented
196	#11718389	C₂²	1	1	yes	characteristic
197	#11718388	C₂²	1	1	yes	characteristic, complemented
198	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
199	#11718377	C₂²	1	1	yes	characteristic, complemented
200	#11718376	C₂²	1	1	yes	characteristic, complemented
201	#11718370	C₂²	1	1	yes	characteristic, complemented
202	#11718367	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	#88257	—	4	2	no	—
206	#88257	—	4	2	no	—
207	#41×D₁₃	—	4	2	no	—
208	#41×D₁₃	—	4	2	no	—
209	C₂×#6131	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×#6129	—	2	1	no	—
216	C₂×#6129	—	2	1	no	—
217	C₂×#6129	—	2	1	no	—
218	C₂×#6129	C₂³	1	1	yes	characteristic
219	C₂×#6129	C₂³	1	1	yes	characteristic
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×#6127	—	2	1	no	—
223	C₂×#6127	—	2	1	no	—
224	C₂×#6127	C₂³	1	1	yes	characteristic
225	C₂×#6127	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₁₃	—	2	1	no	—
227	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₂²×Dic₂₆	—	2	1	no	—
229	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
230	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
231	C₂²×Dic₂₆	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×#125	—	2	1	no	—
240	C₁₃×#125	C₂³	1	1	yes	characteristic
241	C₁₃×#123	—	2	1	no	—
242	C₁₃×#123	—	2	1	no	—
243	C₁₃×#123	—	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×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₁₃×#121	—	2	1	no	—
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
252	C₁₃×#117	—	2	1	no	—
253	C₁₃×#117	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	#88205	—	4	2	no	—
257	#88205	—	4	2	no	—
258	#88201	C₂³	1	1	yes	characteristic
259	#88200	C₂³	1	1	yes	characteristic
260	#88200	C₂³	1	1	yes	characteristic
261	#88200	C₂³	1	1	yes	characteristic
262	#88198	C₂³	1	1	yes	characteristic
263	#88198	C₂³	1	1	yes	characteristic
264	C₂×#6107	C₂³	1	1	yes	characteristic
265	C₂×#6107	C₂³	1	1	yes	characteristic
266	C₂×#6107	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×#6107	C₂³	1	1	yes	characteristic
271	C₂×#6107	C₂³	1	1	yes	characteristic
272	C₂×#6106	C₂³	1	1	yes	characteristic
273	#88193	—	2	1	no	—
274	#88193	—	2	1	no	—
275	#88193	—	2	1	no	—
276	#88193	D₄	1	1	yes	characteristic
277	#88191	—	2	1	no	—
278	#88191	D₄	1	1	yes	characteristic
279	#88189	—	2	1	no	—
280	D₄×Dic₁₃	—	2	1	no	—
281	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×#6105	C₂³	1	1	yes	characteristic
283	C₂×#6105	C₂³	1	1	yes	characteristic
284	C₂×#6105	C₂³	1	1	yes	characteristic
285	#88184	—	2	1	no	—
286	#88184	C₂³	1	1	yes	characteristic
287	#88183	—	2	1	no	—
288	#88183	—	2	1	no	—
289	#88183	—	2	1	no	—
290	C₄×C₂²⋊D₁₃	—	2	1	no	—
291	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
292	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
293	C₂×#6103	—	2	1	no	—
294	C₂×#6103	—	2	1	no	—
295	C₂×#6103	—	2	1	no	—
296	#88180	—	2	1	no	—
297	C₂×C₄⋊Dic₁₃	—	2	1	no	—
298	#88178	C₂³	1	1	yes	characteristic
299	#88178	C₂³	1	1	yes	characteristic
300	#88178	C₂³	1	1	yes	characteristic
301	C₂×#6101	—	2	1	no	—
302	C₂×#6101	—	2	1	no	—
303	C₂×#6099	C₂³	1	1	yes	characteristic
304	C₂×#6099	C₂³	1	1	yes	characteristic
305	Q₁₆×D₁₃	—	4	2	no	—
306	Q₁₆×D₁₃	—	4	2	no	—
307	#88169	—	4	2	no	—
308	SD₁₆×D₁₃	—	4	2	no	—
309	#88163	—	4	2	no	—
310	C₂×Dic₅₂	—	4	2	no	—
311	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
312	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
313	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
314	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
315	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
316	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
317	C₂×#6095	C₂³	1	1	yes	characteristic
318	C₂×#6095	C₂³	1	1	yes	characteristic
319	C₂×#6095	C₂³	1	1	yes	characteristic
320	C₂×#6094	C₂³	1	1	yes	characteristic
321	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
322	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
324	#88152	—	2	1	no	—
325	#88152	—	2	1	no	—
326	#88152	—	2	1	no	—
327	#88152	—	2	1	no	—
328	#88152	—	2	1	no	—
329	#88151	—	2	1	no	—
330	#88151	—	2	1	no	—
331	#88151	—	2	1	no	—
332	#88151	—	2	1	no	—
333	#88151	C₂³	1	1	yes	characteristic
334	#88151	C₂³	1	1	yes	characteristic
335	#88151	C₂³	1	1	yes	characteristic
336	#88151	C₂³	1	1	yes	characteristic
337	#88151	C₂³	1	1	yes	characteristic
338	#88151	C₂³	1	1	yes	characteristic
339	#88151	C₂³	1	1	yes	characteristic
340	#88151	C₂³	1	1	yes	characteristic
341	#88150	—	2	1	no	—
342	#88150	—	2	1	no	—
343	#88150	—	2	1	no	—
344	#88150	—	2	1	no	—
345	#88150	—	2	1	no	—
346	#88150	—	2	1	no	—
347	#88150	—	2	1	no	—
348	#88150	—	2	1	no	—
349	#88150	—	2	1	no	—
350	#88150	—	2	1	no	—
351	#88150	—	2	1	no	—
352	#88150	—	2	1	no	—
353	#88150	D₄	1	1	yes	characteristic
354	#88149	—	2	1	no	—
355	#88149	C₂³	1	1	yes	characteristic
356	#88148	—	2	1	no	—
357	#88148	—	2	1	no	—
358	#88148	—	2	1	no	—
359	#88148	—	2	1	no	—
360	#88148	D₄	1	1	yes	characteristic
361	#88147	—	2	1	no	—
362	#88147	—	2	1	no	—
363	#88146	—	2	1	no	—
364	#88146	C₂³	1	1	yes	characteristic
365	C₄⋊C₄×D₁₃	—	2	1	no	—
366	C₄⋊C₄×D₁₃	—	2	1	no	—
367	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
368	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
369	#88144	—	2	1	no	—
370	#88144	—	2	1	no	—
371	#88144	—	2	1	no	—
372	#88144	C₂³	1	1	yes	characteristic
373	#88143	—	2	1	no	—
374	#88143	—	2	1	no	—
375	#88142	—	2	1	no	—
376	#88142	—	2	1	no	—
377	#88142	—	2	1	no	—
378	#88142	—	2	1	no	—
379	#88142	—	2	1	no	—
380	#88142	—	2	1	no	—
381	#88141	C₂³	1	1	yes	characteristic
382	#88141	C₂³	1	1	yes	characteristic
383	#88141	C₂³	1	1	yes	characteristic
384	#88140	—	2	1	no	—
385	#88140	—	2	1	no	—
386	#88140	—	2	1	no	—
387	#88139	—	2	1	no	—
388	#88139	—	2	1	no	—
389	#88139	—	2	1	no	—
390	#88138	—	2	1	no	—
391	#88138	—	2	1	no	—
392	#88138	—	2	1	no	—
393	#88138	D₄	1	1	yes	characteristic
394	#88137	—	2	1	no	—
395	#88137	—	2	1	no	—
396	#88137	D₄	1	1	yes	characteristic
397	#88136	—	2	1	no	—
398	#88136	D₄	1	1	yes	characteristic
399	#88135	—	2	1	no	—
400	#88135	—	2	1	no	—
401	#88135	—	2	1	no	—
402	#88135	—	2	1	no	—
403	#88135	—	2	1	no	—
404	C₂²⋊C₄×D₁₃	—	2	1	no	—
405	C₂²⋊C₄×D₁₃	—	2	1	no	—
406	#88133	—	2	1	no	—
407	#88132	—	2	1	no	—
408	#88132	—	2	1	no	—
409	#88132	—	2	1	no	—
410	#88132	—	2	1	no	—
411	#88132	—	2	1	no	—
412	#88132	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	D₄	1	1	yes	characteristic
415	#88131	—	2	1	no	—
416	#88130	—	2	1	no	—
417	#88129	—	2	1	no	—
418	#88129	C₂³	1	1	yes	characteristic
419	C₄×D₅₂	—	2	1	no	—
420	C₄×D₅₂	C₂³	1	1	yes	characteristic
421	#88126	—	2	1	no	—
422	#88126	C₂³	1	1	yes	characteristic
423	#88124	—	2	1	no	—
424	#88124	—	2	1	no	—
425	#88123	—	2	1	no	—
426	#88123	—	2	1	no	—
427	#88123	C₂³	1	1	yes	characteristic
428	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
430	C₁₃×#107	C₂³	1	1	yes	characteristic
431	C₁₃×#107	C₂³	1	1	yes	characteristic
432	C₁₃×#106	C₂³	1	1	yes	characteristic
433	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#103	C₂³	1	1	yes	characteristic
441	C₁₃×#102	C₂³	1	1	yes	characteristic
442	C₁₃×#102	C₂³	1	1	yes	characteristic
443	C₁₃×#102	C₂³	1	1	yes	characteristic
444	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₁₃×#97	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88075	C₂³	1	1	yes	characteristic
449	#88075	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	C₂²⋊#1055	C₂³	1	1	yes	characteristic
452	C₂²⋊#1055	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	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88057	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88056	C₂³	1	1	yes	characteristic
466	#88056	C₂³	1	1	yes	characteristic
467	#88056	C₂³	1	1	yes	characteristic
468	#88055	C₂³	1	1	yes	characteristic
469	#88054	C₂³	1	1	yes	characteristic
470	#88054	C₂³	1	1	yes	characteristic
471	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
472	#88050	C₂³	1	1	yes	characteristic
473	#88050	C₂³	1	1	yes	characteristic
474	#88050	C₂³	1	1	yes	characteristic
475	#88050	C₂³	1	1	yes	characteristic
476	#88050	C₂³	1	1	yes	characteristic
477	#88050	C₂³	1	1	yes	characteristic
478	#88050	C₂³	1	1	yes	characteristic
479	#88050	C₂³	1	1	yes	characteristic
480	#88050	C₂³	1	1	yes	characteristic
481	#88049	C₂³	1	1	yes	characteristic
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic
485	#88048	C₂³	1	1	yes	characteristic
486	#88047	C₂³	1	1	yes	characteristic
487	#88047	C₂³	1	1	yes	characteristic
488	C₄⋊#1055	C₂³	1	1	yes	characteristic
489	C₄×#1055	C₂³	1	1	yes	characteristic
490	#61622	—	13	1	no	maximal, Sylow
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
493	C₁₃×#41	—	2	2	no	—
494	C₁₃×#41	—	2	2	no	—
495	C₁₃×#41	—	4	1	no	—
496	C₁₃×#41	—	4	1	no	—
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₁₃	—	2	1	no	—
505	C₂²×C₄×C₁₃	—	2	1	no	—
506	C₂²×C₄×C₁₃	—	2	1	no	—
507	C₂²×C₄×C₁₃	—	2	1	no	—
508	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
516	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂²×Dic₁₃	—	2	1	no	—
520	C₂²×Dic₁₃	—	2	1	no	—
521	C₂²×Dic₁₃	—	2	1	no	—
522	C₂²×Dic₁₃	—	2	1	no	—
523	C₂²×Dic₁₃	—	2	1	no	—
524	C₂²×Dic₁₃	—	2	1	no	—
525	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
526	#6131	—	4	1	no	—
527	#6131	—	4	1	no	—
528	Q₈×D₁₃	—	2	2	no	—
529	Q₈×D₁₃	—	2	2	no	—
530	Q₈×D₁₃	—	4	1	no	—
531	Q₈×D₁₃	—	4	1	no	—
532	Q₈×D₁₃	—	4	1	no	—
533	Q₈×D₁₃	—	4	1	no	—
534	Q₈×D₁₃	—	4	1	no	—
535	Q₈×D₁₃	—	4	1	no	—
536	Q₈×D₁₃	—	4	1	no	—
537	Q₈×D₁₃	—	4	1	no	—
538	#6129	—	2	2	no	—
539	#6129	—	2	2	no	—
540	#6129	—	2	2	no	—
541	#6129	—	4	1	no	—
542	#6129	—	4	4	no	—
543	#6129	—	4	4	no	—
544	#6129	—	4	4	no	—
545	D₄×D₁₃	—	2	2	no	—
546	D₄×D₁₃	—	4	1	no	—
547	D₄×D₁₃	—	4	4	no	—
548	#6127	—	2	2	no	—
549	#6127	—	4	1	no	—
550	#6127	—	4	1	no	—
551	#6127	—	4	1	no	—
552	#6127	—	4	4	no	—
553	#6127	—	4	4	no	—
554	C₂×D₅₂	—	2	1	no	—
555	C₂×D₅₂	—	2	1	no	—
556	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
557	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
558	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
559	C₂×C₄×D₁₃	—	2	1	no	—
560	C₂×C₄×D₁₃	—	2	1	no	—
561	C₂×C₄×D₁₃	—	2	1	no	—
562	C₂×C₄×D₁₃	—	2	1	no	—
563	C₂×C₄×D₁₃	—	2	1	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	—	4	1	no	—
569	C₂×C₄×D₁₃	—	4	1	no	—
570	C₂×C₄×D₁₃	—	4	4	no	—
571	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
572	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
573	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
574	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
576	C₂×Dic₂₆	—	2	2	no	—
577	C₂×Dic₂₆	—	2	1	no	—
578	C₂×Dic₂₆	—	2	1	no	—
579	C₂×Dic₂₆	—	2	1	no	—
580	C₂×Dic₂₆	—	2	1	no	—
581	C₂×Dic₂₆	—	2	1	no	—
582	C₂×Dic₂₆	—	2	1	no	—
583	C₂×Dic₂₆	—	2	1	no	—
584	C₂×Dic₂₆	—	2	1	no	—
585	C₂×Dic₂₆	—	4	1	no	—
586	C₂×Dic₂₆	—	4	1	no	—
587	C₂×Dic₂₆	—	4	1	no	—
588	C₂×Dic₂₆	—	4	1	no	—
589	C₂×Dic₂₆	—	4	1	no	—
590	C₂×Dic₂₆	—	4	4	no	—
591	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
592	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
593	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
594	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
595	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
596	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
597	C₁₃×Q₁₆	—	4	1	no	—
598	C₁₃×Q₁₆	—	4	1	no	—
599	C₁₃×SD₁₆	—	2	2	no	—
600	C₁₃×M₁₆	—	4	1	no	—
601	C₂×C₈×C₁₃	—	4	1	no	—
602	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
603	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
605	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
606	C₁₃×C₄⋊C₄	—	2	1	no	—
607	C₁₃×C₄⋊C₄	—	2	1	no	—
608	C₁₃×C₄⋊C₄	—	2	1	no	—
609	C₁₃×C₄⋊C₄	—	2	1	no	—
610	C₁₃×C₄⋊C₄	—	2	1	no	—
611	C₁₃×C₄⋊C₄	—	2	1	no	—
612	C₁₃×C₄⋊C₄	—	2	1	no	—
613	C₁₃×C₄⋊C₄	—	2	1	no	—
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	—	2	1	no	—
616	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₁₃×C₂²⋊C₄	—	2	1	no	—
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₄²×C₁₃	—	2	1	no	—
630	C₄²×C₁₃	—	2	1	no	—
631	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
632	C₂²⋊Dic₁₃	—	2	1	no	—
633	C₂²⋊Dic₁₃	—	2	1	no	—
634	C₂²⋊Dic₁₃	—	2	1	no	—
635	C₂²⋊Dic₁₃	—	2	1	no	—
636	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
637	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
638	#6107	—	2	2	no	—
639	#6107	—	4	1	no	—
640	#6107	—	4	1	no	—
641	#6107	—	4	1	no	—
642	#6107	—	4	1	no	—
643	#6107	—	4	1	no	—
644	#6107	—	4	1	no	—
645	#6107	—	4	1	no	—
646	#6106	—	4	1	no	—
647	#6105	—	2	2	no	—
648	#6105	—	2	2	no	—
649	#6105	—	2	2	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	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	2	1	no	—
667	#6103	—	2	1	no	—
668	#6103	C₂×D₄	1	1	yes	characteristic
669	#6103	C₂×D₄	1	1	yes	characteristic
670	#6103	C₂×D₄	1	1	yes	characteristic
671	#6103	C₂×D₄	1	1	yes	characteristic
672	#6103	C₂×D₄	1	1	yes	characteristic
673	#6103	C₂×D₄	1	1	yes	characteristic
674	C₄⋊Dic₁₃	—	2	1	no	—
675	C₄⋊Dic₁₃	—	2	1	no	—
676	C₄⋊Dic₁₃	—	2	1	no	—
677	C₄⋊Dic₁₃	—	2	1	no	—
678	C₄⋊Dic₁₃	—	2	1	no	—
679	C₄⋊Dic₁₃	—	2	1	no	—
680	C₄⋊Dic₁₃	—	2	1	no	—
681	C₄⋊Dic₁₃	—	2	1	no	—
682	C₄⋊Dic₁₃	—	2	1	no	—
683	C₄⋊Dic₁₃	—	2	1	no	—
684	C₄⋊Dic₁₃	—	2	1	no	—
685	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
686	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
687	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
688	#6101	—	2	1	no	—
689	#6101	—	2	1	no	—
690	#6101	—	2	1	no	—
691	#6101	—	2	1	no	—
692	#6101	—	2	1	no	—
693	#6101	—	2	1	no	—
694	#6101	—	2	1	no	—
695	#6101	—	2	1	no	—
696	#6101	—	2	1	no	—
697	#6101	—	2	1	no	—
698	#6101	—	2	1	no	—
699	#6101	—	2	1	no	—
700	#6101	—	2	1	no	—
701	#6101	—	2	1	no	—
702	#6101	—	2	1	no	—
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	C₂×D₄	1	1	yes	characteristic
707	#6101	C₂×D₄	1	1	yes	characteristic
708	#6101	C₂×D₄	1	1	yes	characteristic
709	#6101	C₂×D₄	1	1	yes	characteristic
710	C₄×Dic₁₃	—	2	1	no	—
711	C₄×Dic₁₃	—	2	1	no	—
712	C₄×Dic₁₃	—	2	1	no	—
713	C₄×Dic₁₃	—	2	1	no	—
714	C₄×Dic₁₃	—	2	1	no	—
715	C₄×Dic₁₃	—	2	1	no	—
716	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
717	#6099	—	4	1	no	—
718	#6099	—	4	1	no	—
719	C₂×#1055	C₂⁴	1	1	yes	characteristic
720	C₂×#1055	C₂⁴	1	1	yes	characteristic
721	C₂×#1055	C₂⁴	1	1	yes	characteristic
722	C₂×#1055	C₂⁴	1	1	yes	characteristic
723	Dic₅₂	—	2	2	no	—
724	Dic₅₂	—	2	2	no	—
725	Dic₅₂	—	2	2	no	—
726	Dic₅₂	—	4	1	no	—
727	Dic₅₂	—	4	1	no	—
728	Dic₅₂	—	4	1	no	—
729	#6095	—	4	1	no	—
730	#6095	—	4	1	no	—
731	#6095	—	4	1	no	—
732	#6094	—	4	1	no	—
733	C₈×D₁₃	—	4	1	no	—
734	C₈×D₁₃	—	4	1	no	—
735	C₈×D₁₃	—	4	1	no	—
736	#3538	—	13	1	no	—
737	#3489	—	13	1	no	—
738	#3327	—	13	1	no	—
739	#3327	—	13	1	no	—
740	#3315	—	13	1	no	—
741	#3315	D₁₃	1	1	yes	characteristic, complemented
742	#3312	—	13	1	no	—
743	#3312	—	13	1	no	—
744	#3296	—	13	1	no	—
745	#3296	—	13	1	no	—
746	D₄×Q₁₆	—	13	1	no	—
747	D₄×Q₁₆	—	13	1	no	—
748	#3276	—	13	1	no	—
749	#3276	—	13	1	no	—
750	#3270	—	13	1	no	—
751	#3270	—	13	1	no	—
752	#3266	—	13	1	no	—
753	#3266	—	13	1	no	—
754	#3223	—	13	1	no	—
755	#3223	—	13	1	no	—
756	#3201	—	13	1	no	—
757	#3201	—	13	1	no	—
758	#3195	—	13	1	no	—
759	#3189	—	13	1	no	—
760	#3120	—	13	1	no	—
761	#3120	—	13	1	no	—
762	#3011	—	13	1	no	—
763	#3011	—	13	1	no	—
764	#3007	—	13	1	no	—
765	C₂×#452	—	13	1	no	—
766	#2976	—	13	1	no	—
767	C₂³×C₁₃	—	2	1	no	—
768	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
769	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
770	C₂²×D₁₃	—	2	2	no	—
771	C₂²×D₁₃	—	2	1	no	—
772	C₂²×D₁₃	—	4	1	no	—
773	C₂²×D₁₃	—	4	1	no	—
774	C₂²×D₁₃	—	4	2	no	—
775	C₂²×D₁₃	—	4	2	no	—
776	C₂²×D₁₃	—	8	1	no	—
777	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
780	Q₈×C₁₃	—	2	1	no	—
781	Q₈×C₁₃	—	2	1	no	—
782	Q₈×C₁₃	—	2	1	no	—
783	Q₈×C₁₃	—	2	1	no	—
784	Q₈×C₁₃	—	2	1	no	—
785	Q₈×C₁₃	—	2	1	no	—
786	D₄×C₁₃	—	2	1	no	—
787	D₄×C₁₃	—	4	1	no	—
788	D₄×C₁₃	—	4	2	no	—
789	D₄×C₁₃	—	4	2	no	—
790	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
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	—	2	1	no	—
798	C₂×C₄×C₁₃	—	2	1	no	—
799	C₂×C₄×C₁₃	—	2	1	no	—
800	C₂×C₄×C₁₃	—	2	1	no	—
801	C₂×C₄×C₁₃	—	2	1	no	—
802	C₂×C₄×C₁₃	—	4	2	no	—
803	C₂×C₄×C₁₃	—	4	2	no	—
804	C₂×C₄×C₁₃	—	4	2	no	—
805	C₂×C₄×C₁₃	—	8	1	no	—
806	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
811	C₂²⋊D₁₃	—	2	4	no	—
812	C₂²⋊D₁₃	—	2	2	no	—
813	C₂²⋊D₁₃	—	4	1	no	—
814	C₂²⋊D₁₃	—	4	1	no	—
815	C₂²⋊D₁₃	—	4	1	no	—
816	C₂²⋊D₁₃	—	4	2	no	—
817	C₂²⋊D₁₃	—	4	2	no	—
818	C₂²⋊D₁₃	—	4	2	no	—
819	C₂²⋊D₁₃	—	8	1	no	—
820	C₂×Dic₁₃	—	2	4	no	—
821	C₂×Dic₁₃	—	2	1	no	—
822	C₂×Dic₁₃	—	2	1	no	—
823	C₂×Dic₁₃	—	2	1	no	—
824	C₂×Dic₁₃	—	2	1	no	—
825	C₂×Dic₁₃	—	2	1	no	—
826	C₂×Dic₁₃	—	2	1	no	—
827	C₂×Dic₁₃	—	2	1	no	—
828	C₂×Dic₁₃	—	4	1	no	—
829	C₂×Dic₁₃	—	4	2	no	—
830	C₂×Dic₁₃	—	4	2	no	—
831	C₂×Dic₁₃	—	8	1	no	—
832	C₂×Dic₁₃	—	8	1	no	—
833	C₂×Dic₁₃	—	8	1	no	—
834	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
835	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
836	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
837	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
838	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
839	D₅₂	—	2	2	no	—
840	D₅₂	—	2	1	no	—
841	D₅₂	—	2	1	no	—
842	D₅₂	—	4	1	no	—
843	D₅₂	—	4	2	no	—
844	D₅₂	—	8	1	no	—
845	C₄×D₁₃	—	2	1	no	—
846	C₄×D₁₃	—	2	1	no	—
847	C₄×D₁₃	—	2	1	no	—
848	C₄×D₁₃	—	2	1	no	—
849	C₄×D₁₃	—	2	1	no	—
850	C₄×D₁₃	—	2	1	no	—
851	C₄×D₁₃	—	4	1	no	—
852	C₄×D₁₃	—	4	1	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	—	8	1	no	—
861	C₄×D₁₃	—	8	1	no	—
862	Dic₂₆	—	2	1	no	—
863	Dic₂₆	—	2	1	no	—
864	Dic₂₆	—	2	1	no	—
865	Dic₂₆	—	2	1	no	—
866	Dic₂₆	—	2	1	no	—
867	Dic₂₆	—	2	1	no	—
868	Dic₂₆	—	2	1	no	—
869	Dic₂₆	—	2	1	no	—
870	Dic₂₆	—	2	1	no	—
871	Dic₂₆	—	4	1	no	—
872	Dic₂₆	—	4	2	no	—
873	Dic₂₆	—	4	2	no	—
874	Dic₂₆	—	4	2	no	—
875	Dic₂₆	—	4	2	no	—
876	Dic₂₆	—	8	1	no	—
877	Dic₂₆	—	8	1	no	—
878	Dic₂₆	—	8	1	no	—
879	Dic₂₆	—	8	1	no	—
880	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
881	C₈×C₁₃	—	2	1	no	—
882	C₈×C₁₃	—	2	1	no	—
883	C₈×C₁₃	—	2	1	no	—
884	C₈×C₁₃	—	2	1	no	—
885	#1055	—	2	1	no	—
886	#1055	—	2	1	no	—
887	#1055	—	2	1	no	—
888	#1055	—	2	1	no	—
889	C₂×2₋¹⁺⁴	—	13	1	no	—
890	C₂²×#41	—	13	1	no	—
891	C₂×#137	—	13	1	no	—
892	C₂×#137	—	13	1	no	—
893	C₂×#137	—	13	1	no	—
894	C₂×#137	—	13	1	no	—
895	C₂²×Q₁₆	—	13	1	no	—
896	C₂²×Q₁₆	—	13	1	no	—
897	C₂²×Q₁₆	—	13	1	no	—
898	C₂²×SD₁₆	—	13	1	no	—
899	#563	—	26	1	no	—
900	#563	—	26	1	no	—
901	#552	—	13	1	no	—
902	#552	—	13	1	no	—
903	#552	—	13	1	no	—
904	#552	C₂×D₁₃	1	1	yes	characteristic, complemented
905	#551	—	26	1	no	—
906	#551	—	26	1	no	—
907	D₄×Q₈	—	13	1	no	—
908	D₄×Q₈	—	13	1	no	—
909	D₄×Q₈	—	13	1	no	—
910	D₄×Q₈	—	13	1	no	—
911	D₄×Q₈	—	13	1	no	—
912	D₄×Q₈	—	13	1	no	—
913	#548	—	13	1	no	—
914	#548	—	13	1	no	—
915	#547	—	13	1	no	—
916	#547	—	26	1	no	—
917	#547	—	26	1	no	—
918	#547	C₂×D₁₃	1	1	yes	characteristic
919	#546	—	13	1	no	—
920	#546	—	13	1	no	—
921	#546	—	26	1	no	—
922	#546	—	26	1	no	—
923	#544	—	26	1	no	—
924	#544	—	26	1	no	—
925	#541	—	13	1	no	—
926	#541	—	13	1	no	—
927	#539	—	26	1	no	—
928	#539	—	26	1	no	—
929	#537	—	13	1	no	—
930	#537	—	26	1	no	—
931	#536	—	13	1	no	—
932	#536	—	13	1	no	—
933	#536	—	13	1	no	—
934	#536	—	26	1	no	—
935	#525	—	13	1	no	—
936	#525	—	26	1	no	—
937	C₂×C₂²⋊Q₈	—	13	1	no	—
938	C₂×C₂²⋊Q₈	—	13	1	no	—
939	C₂×C₂²⋊Q₈	—	13	1	no	—
940	C₂×C₂²⋊Q₈	—	26	1	no	—
941	#520	—	13	1	no	—
942	#497	—	13	1	no	—
943	#497	—	13	1	no	—
944	#494	—	13	1	no	—
945	#494	—	13	1	no	—
946	#491	—	13	1	no	—
947	#491	C₂×D₁₃	1	1	yes	characteristic, complemented
948	#488	—	13	1	no	—
949	#488	—	13	1	no	—
950	#485	—	13	1	no	—
951	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
952	#484	—	13	1	no	—
953	#484	—	13	1	no	—
954	#484	—	13	1	no	—
955	#484	C₂×D₁₃	1	1	yes	characteristic, complemented
956	#483	—	13	1	no	—
957	#483	—	13	1	no	—
958	#483	—	13	1	no	—
959	#483	—	13	1	no	—
960	#482	—	13	1	no	—
961	#482	—	13	1	no	—
962	#479	—	13	1	no	—
963	#479	—	13	1	no	—
964	#478	—	13	1	no	—
965	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
966	#470	—	13	1	no	—
967	#470	—	13	1	no	—
968	#470	—	13	1	no	—
969	#470	—	13	1	no	—
970	#470	—	13	1	no	—
971	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
972	#468	—	13	1	no	—
973	#468	—	13	1	no	—
974	#467	—	13	1	no	—
975	#467	—	13	1	no	—
976	#467	—	13	1	no	—
977	#467	—	13	1	no	—
978	#467	—	13	1	no	—
979	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
980	#465	—	13	1	no	—
981	#465	—	13	1	no	—
982	#464	—	13	1	no	—
983	#464	—	13	1	no	—
984	#464	—	13	1	no	—
985	#464	—	13	1	no	—
986	#462	—	13	1	no	—
987	#462	—	13	1	no	—
988	#462	—	13	1	no	—
989	#462	—	13	1	no	—
990	#462	—	13	1	no	—
991	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
992	#461	—	13	1	no	—
993	#461	—	13	1	no	—
994	#452	—	13	1	no	—
995	#452	—	13	1	no	—
996	#452	—	13	1	no	—
997	#452	—	13	1	no	—
998	#452	—	13	1	no	—
999	#452	—	13	1	no	—
1000	#452	—	13	1	no	—
1001	#452	—	13	1	no	—
1002	#452	—	13	1	no	—
1003	#452	—	13	1	no	—
1004	#452	—	13	1	no	—
1005	#452	—	13	1	no	—
1006	#452	—	13	1	no	—
1007	#452	—	13	1	no	—
1008	#452	C₂×D₁₃	1	1	yes	characteristic
1009	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1010	#451	—	13	1	no	—
1011	#451	—	13	1	no	—
1012	#451	—	13	1	no	—
1013	#451	—	13	1	no	—
1014	#451	—	13	1	no	—
1015	#451	—	13	1	no	—
1016	#451	—	13	1	no	—
1017	#451	—	13	1	no	—
1018	#451	—	13	1	no	—
1019	#451	—	13	1	no	—
1020	#451	—	13	1	no	—
1021	#451	—	13	1	no	—
1022	#451	—	13	1	no	—
1023	#451	—	13	1	no	—
1024	#451	—	13	1	no	—
1025	#451	—	13	1	no	—
1026	#450	—	13	1	no	—
1027	#450	—	13	1	no	—
1028	#448	—	13	1	no	—
1029	#448	—	13	1	no	—
1030	#441	—	13	1	no	—
1031	#441	—	13	1	no	—
1032	#440	—	13	1	no	—
1033	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
1034	C₄×Q₁₆	—	13	1	no	—
1035	C₄×Q₁₆	—	13	1	no	—
1036	C₄×SD₁₆	—	13	1	no	—
1037	C₄×SD₁₆	—	13	1	no	—
1038	#436	—	13	1	no	—
1039	#436	—	13	1	no	—
1040	#435	—	13	1	no	—
1041	#435	—	13	1	no	—
1042	#435	—	13	1	no	—
1043	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1044	C₈×D₄	—	13	1	no	—
1045	C₈×D₄	—	13	1	no	—
1046	#433	—	13	1	no	—
1047	#433	—	13	1	no	—
1048	#419	—	13	1	no	—
1049	#419	—	13	1	no	—
1050	#417	—	13	1	no	—
1051	#417	C₂×D₁₃	1	1	yes	characteristic
1052	#416	—	13	1	no	—
1053	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1054	C₂×#103	—	13	1	no	—
1055	C₂×#102	—	13	1	no	—
1056	#408	—	13	1	no	—
1057	#408	—	13	1	no	—
1058	#407	—	13	1	no	—
1059	C₂×C₂²⋊C₈	—	13	1	no	—
1060	C₂²×C₁₃	—	2	1	no	—
1061	C₂²×C₁₃	—	2	1	no	—
1062	C₂²×C₁₃	—	2	2	no	—
1063	C₂²×C₁₃	—	2	1	no	—
1064	C₂²×C₁₃	—	2	1	no	—
1065	C₂²×C₁₃	—	2	1	no	—
1066	C₂²×C₁₃	—	2	1	no	—
1067	C₂²×C₁₃	—	4	1	no	—
1068	C₂²×C₁₃	—	4	1	no	—
1069	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1070	C₂×D₁₃	—	2	1	no	—
1071	C₂×D₁₃	—	2	1	no	—
1072	C₂×D₁₃	—	2	1	no	—
1073	C₂×D₁₃	—	2	1	no	—
1074	C₂×D₁₃	—	2	1	no	—
1075	C₂×D₁₃	—	2	1	no	—
1076	C₂×D₁₃	—	2	1	no	—
1077	C₂×D₁₃	—	2	1	no	—
1078	C₂×D₁₃	—	4	1	no	—
1079	C₂×D₁₃	—	4	1	no	—
1080	C₂×D₁₃	—	4	1	no	—
1081	C₂×D₁₃	—	8	2	no	—
1082	C₂×D₁₃	—	8	4	no	—
1083	C₂×D₁₃	#578	1	2	yes	—
1084	C₄×C₁₃	—	2	1	no	—
1085	C₄×C₁₃	—	2	1	no	—
1086	C₄×C₁₃	—	2	1	no	—
1087	C₄×C₁₃	—	2	1	no	—
1088	C₄×C₁₃	—	4	1	no	—
1089	C₄×C₁₃	—	4	1	no	—
1090	C₄×C₁₃	—	4	1	no	—
1091	C₄×C₁₃	—	4	1	no	—
1092	C₄×C₁₃	—	4	1	no	—
1093	C₄×C₁₃	—	4	1	no	—
1094	C₄×C₁₃	—	4	1	no	—
1095	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1096	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1097	Dic₁₃	—	2	1	no	—
1098	Dic₁₃	—	2	2	no	—
1099	Dic₁₃	—	2	1	no	—
1100	Dic₁₃	—	2	1	no	—
1101	Dic₁₃	—	2	1	no	—
1102	Dic₁₃	—	2	1	no	—
1103	Dic₁₃	—	4	1	no	—
1104	Dic₁₃	—	4	1	no	—
1105	Dic₁₃	—	4	1	no	—
1106	Dic₁₃	—	4	1	no	—
1107	Dic₁₃	—	4	1	no	—
1108	Dic₁₃	—	4	1	no	—
1109	2₋¹⁺⁴	—	52	2	no	—
1110	2₋¹⁺⁴	—	52	2	no	—
1111	C₂×#41	—	13	1	no	—
1112	C₂×#41	—	13	1	no	—
1113	C₂×#41	—	13	1	no	—
1114	C₂×#41	—	13	1	no	—
1115	C₂×#41	—	13	1	no	—
1116	C₂×#41	—	26	1	no	—
1117	C₂×#41	—	26	1	no	—
1118	C₂×#41	—	26	1	no	—
1119	C₂×#41	—	26	1	no	—
1120	C₂×#41	—	26	1	no	—
1121	C₂×#41	—	52	2	no	—
1122	C₂×#41	—	52	2	no	—
1123	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1124	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1125	C₂²×Q₈	—	13	1	no	—
1126	C₂²×Q₈	—	13	1	no	—
1127	C₂²×Q₈	—	13	1	no	—
1128	C₂²×Q₈	—	13	1	no	—
1129	C₂²×Q₈	—	13	1	no	—
1130	C₂²×Q₈	—	13	1	no	—
1131	C₂²×Q₈	—	13	1	no	—
1132	C₂²×Q₈	—	13	1	no	—
1133	C₂²×Q₈	—	26	1	no	—
1134	C₂²×D₄	—	13	1	no	—
1135	C₂²×D₄	—	26	1	no	—
1136	C₂³×C₄	—	13	1	no	—
1137	C₂³×C₄	—	26	1	no	—
1138	#137	—	52	2	no	—
1139	#137	—	52	2	no	—
1140	#137	—	52	2	no	—
1141	#137	—	52	2	no	—
1142	C₂×Q₁₆	—	13	1	no	—
1143	C₂×Q₁₆	—	13	1	no	—
1144	C₂×Q₁₆	—	13	1	no	—
1145	C₂×Q₁₆	—	13	1	no	—
1146	C₂×Q₁₆	—	13	1	no	—
1147	C₂×Q₁₆	—	13	1	no	—
1148	C₂×Q₁₆	—	13	1	no	—
1149	C₂×Q₁₆	—	13	1	no	—
1150	C₂×Q₁₆	—	13	1	no	—
1151	C₂×Q₁₆	—	13	1	no	—
1152	C₂×Q₁₆	—	13	1	no	—
1153	C₂×Q₁₆	—	13	1	no	—
1154	C₂×Q₁₆	—	13	1	no	—
1155	C₂×Q₁₆	—	13	1	no	—
1156	C₂×Q₁₆	—	52	2	no	—
1157	C₂×Q₁₆	—	52	2	no	—
1158	C₂×Q₁₆	—	52	2	no	—
1159	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1160	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1161	C₂×SD₁₆	—	13	1	no	—
1162	C₂×SD₁₆	—	13	1	no	—
1163	C₂×SD₁₆	—	13	1	no	—
1164	C₂×SD₁₆	—	13	1	no	—
1165	C₂×SD₁₆	—	13	1	no	—
1166	C₂×SD₁₆	—	13	1	no	—
1167	C₂×SD₁₆	—	13	1	no	—
1168	C₂×SD₁₆	—	52	2	no	—
1169	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1170	C₂×M₁₆	—	13	1	no	—
1171	C₂×M₁₆	—	13	1	no	—
1172	C₂×M₁₆	—	13	1	no	—
1173	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1174	C₂²×C₈	—	13	1	no	—
1175	C₂²×C₈	—	13	1	no	—
1176	C₂²×C₈	—	13	1	no	—
1177	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
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	—	26	1	no	—
1184	C₄⋊Q₈	—	26	1	no	—
1185	C₄⋊Q₈	—	26	1	no	—
1186	C₄⋊Q₈	—	26	1	no	—
1187	C₄⋊Q₈	—	26	1	no	—
1188	C₄⋊Q₈	—	26	1	no	—
1189	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1190	#126	—	2	1	no	—
1191	#126	—	26	1	no	—
1192	#126	—	26	1	no	—
1193	#126	—	26	1	no	—
1194	#126	—	26	1	no	—
1195	#126	—	26	1	no	—
1196	#126	—	26	1	no	—
1197	#126	—	26	1	no	—
1198	#125	—	2	1	no	—
1199	#125	—	13	1	no	—
1200	#125	—	26	1	no	—
1201	#125	—	26	1	no	—
1202	#125	—	26	1	no	—
1203	#125	—	26	1	no	—
1204	#125	—	26	1	no	—
1205	#125	—	26	1	no	—
1206	#125	—	26	1	no	—
1207	#125	C₂²×D₁₃	1	1	yes	characteristic
1208	#124	—	13	1	no	—
1209	#124	—	13	1	no	—
1210	#124	—	26	1	no	—
1211	#124	—	26	1	no	—
1212	#124	—	26	1	no	—
1213	#124	—	26	1	no	—
1214	#123	—	2	1	no	—
1215	#123	—	2	1	no	—
1216	#123	—	2	1	no	—
1217	#123	—	13	1	no	—
1218	#123	—	13	1	no	—
1219	#123	—	26	1	no	—
1220	#123	—	26	1	no	—
1221	#123	—	26	1	no	—
1222	#123	—	26	1	no	—
1223	#123	—	26	1	no	—
1224	#123	—	26	1	no	—
1225	#123	—	26	1	no	—
1226	#123	—	26	1	no	—
1227	#123	—	26	1	no	—
1228	#123	—	26	1	no	—
1229	#123	—	26	1	no	—
1230	#123	—	26	1	no	—
1231	#123	—	26	1	no	—
1232	C₂²⋊Q₈	—	13	1	no	—
1233	C₂²⋊Q₈	—	13	1	no	—
1234	C₂²⋊Q₈	—	13	1	no	—
1235	C₂²⋊Q₈	—	13	1	no	—
1236	C₂²⋊Q₈	—	13	1	no	—
1237	C₂²⋊Q₈	—	13	1	no	—
1238	C₂²⋊Q₈	—	13	1	no	—
1239	C₂²⋊Q₈	—	13	1	no	—
1240	C₂²⋊Q₈	—	13	1	no	—
1241	C₂²⋊Q₈	—	13	1	no	—
1242	C₂²⋊Q₈	—	13	1	no	—
1243	C₂²⋊Q₈	—	13	1	no	—
1244	C₂²⋊Q₈	—	13	1	no	—
1245	C₂²⋊Q₈	—	13	1	no	—
1246	C₂²⋊Q₈	—	13	1	no	—
1247	C₂²⋊Q₈	—	13	1	no	—
1248	C₂²⋊Q₈	—	26	1	no	—
1249	C₂²⋊Q₈	—	26	1	no	—
1250	C₂²⋊Q₈	—	26	1	no	—
1251	C₂²⋊Q₈	—	26	1	no	—
1252	C₂²⋊Q₈	—	26	1	no	—
1253	C₂²⋊Q₈	—	26	1	no	—
1254	C₂²⋊Q₈	—	26	1	no	—
1255	C₂²⋊Q₈	—	26	1	no	—
1256	C₂²⋊Q₈	—	26	1	no	—
1257	C₂²⋊Q₈	—	26	1	no	—
1258	C₂²⋊Q₈	—	26	1	no	—
1259	C₂²⋊Q₈	—	26	1	no	—
1260	C₂²⋊Q₈	—	26	1	no	—
1261	C₂²⋊Q₈	—	26	1	no	—
1262	C₂²⋊Q₈	—	26	1	no	—
1263	C₂²⋊Q₈	—	26	1	no	—
1264	C₂²⋊Q₈	—	26	1	no	—
1265	C₂²⋊Q₈	—	26	1	no	—
1266	C₂²⋊Q₈	—	26	1	no	—
1267	C₂²⋊Q₈	—	26	1	no	—
1268	C₂²⋊Q₈	—	26	1	no	—
1269	C₂²⋊Q₈	—	26	1	no	—
1270	C₂²⋊Q₈	—	26	1	no	—
1271	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1272	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1273	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1274	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1275	#121	—	2	1	no	—
1276	#121	—	13	1	no	—
1277	#121	—	13	1	no	—
1278	#121	—	13	1	no	—
1279	#121	—	13	1	no	—
1280	#121	—	26	1	no	—
1281	#121	—	26	1	no	—
1282	#121	—	26	1	no	—
1283	#121	—	26	1	no	—
1284	#121	—	26	1	no	—
1285	#121	—	26	1	no	—
1286	#121	—	26	1	no	—
1287	#121	—	26	1	no	—
1288	#120	—	13	1	no	—
1289	#120	—	13	1	no	—
1290	#120	—	26	1	no	—
1291	#120	—	26	1	no	—
1292	C₄×Q₈	—	13	1	no	—
1293	C₄×Q₈	—	13	1	no	—
1294	C₄×Q₈	—	13	1	no	—
1295	C₄×Q₈	—	13	1	no	—
1296	C₄×Q₈	—	13	1	no	—
1297	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1298	C₄×D₄	—	13	1	no	—
1299	C₄×D₄	—	13	1	no	—
1300	C₄×D₄	—	13	1	no	—
1301	C₄×D₄	—	13	1	no	—
1302	C₄×D₄	—	26	1	no	—
1303	C₄×D₄	—	26	1	no	—
1304	C₄×D₄	—	26	1	no	—
1305	C₄×D₄	—	26	1	no	—
1306	C₄×D₄	—	26	1	no	—
1307	C₄×D₄	—	26	1	no	—
1308	C₄×D₄	—	26	1	no	—
1309	C₄×D₄	—	26	1	no	—
1310	C₄×D₄	—	26	1	no	—
1311	C₄×D₄	—	26	1	no	—
1312	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1313	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1314	#117	—	2	1	no	—
1315	#117	—	13	1	no	—
1316	#117	—	13	1	no	—
1317	#117	—	26	1	no	—
1318	#117	—	26	1	no	—
1319	#117	—	26	1	no	—
1320	#117	—	26	1	no	—
1321	#117	C₂²×D₁₃	1	1	yes	characteristic
1322	C₂×C₄⋊C₄	—	2	1	no	—
1323	C₂×C₄⋊C₄	—	13	1	no	—
1324	C₂×C₄⋊C₄	—	13	1	no	—
1325	C₂×C₄⋊C₄	—	26	1	no	—
1326	C₂×C₄⋊C₄	—	26	1	no	—
1327	C₂×C₄⋊C₄	—	26	1	no	—
1328	C₂×C₄⋊C₄	—	26	1	no	—
1329	C₂×C₄⋊C₄	—	26	1	no	—
1330	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1331	C₂×C₂²⋊C₄	—	26	1	no	—
1332	C₂×C₂²⋊C₄	—	26	1	no	—
1333	C₂×C₂²⋊C₄	—	26	1	no	—
1334	C₂×C₂²⋊C₄	—	26	1	no	—
1335	C₂×C₂²⋊C₄	—	26	1	no	—
1336	#107	—	13	1	no	—
1337	#107	—	13	1	no	—
1338	#107	C₂²×D₁₃	1	1	yes	characteristic
1339	#107	C₂²×D₁₃	1	1	yes	characteristic
1340	#106	—	13	1	no	—
1341	#106	—	13	1	no	—
1342	#106	—	13	1	no	—
1343	#106	C₂²×D₁₃	1	1	yes	characteristic
1344	C₄⋊C₈	—	13	1	no	—
1345	C₄⋊C₈	—	13	1	no	—
1346	C₄⋊C₈	—	13	1	no	—
1347	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1348	#103	—	13	1	no	—
1349	#103	—	13	1	no	—
1350	#103	—	13	1	no	—
1351	#103	—	13	1	no	—
1352	#103	—	13	1	no	—
1353	#103	—	13	1	no	—
1354	#103	—	13	1	no	—
1355	#103	—	13	1	no	—
1356	#103	—	13	1	no	—
1357	#103	—	13	1	no	—
1358	#103	—	13	1	no	—
1359	#103	—	13	1	no	—
1360	#103	—	13	1	no	—
1361	#103	—	13	1	no	—
1362	#103	—	13	1	no	—
1363	#103	—	13	1	no	—
1364	#103	—	13	1	no	—
1365	#103	C₂²×D₁₃	1	1	yes	characteristic
1366	#103	C₂²×D₁₃	1	1	yes	characteristic
1367	#103	C₂²×D₁₃	1	1	yes	characteristic
1368	#103	C₂²×D₁₃	1	1	yes	characteristic
1369	#103	C₂²×D₁₃	1	1	yes	characteristic
1370	#103	C₂²×D₁₃	1	1	yes	characteristic
1371	#103	C₂²×D₁₃	1	1	yes	characteristic
1372	#102	—	13	1	no	—
1373	#102	—	13	1	no	—
1374	#102	—	13	1	no	—
1375	#102	—	13	1	no	—
1376	#102	—	13	1	no	—
1377	#102	C₂²×D₁₃	1	1	yes	characteristic
1378	#102	C₂²×D₁₃	1	1	yes	characteristic
1379	#102	C₂²×D₁₃	1	1	yes	characteristic
1380	C₂²⋊C₈	—	13	1	no	—
1381	C₂²⋊C₈	—	13	1	no	—
1382	C₂²⋊C₈	—	13	1	no	—
1383	C₂²⋊C₈	—	13	1	no	—
1384	C₂²⋊C₈	—	13	1	no	—
1385	C₂²⋊C₈	—	13	1	no	—
1386	C₂²⋊C₈	—	13	1	no	—
1387	C₂²⋊C₈	—	13	1	no	—
1388	C₂²⋊C₈	—	13	1	no	—
1389	C₂²⋊C₈	—	13	1	no	—
1390	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1391	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1392	#97	—	13	1	no	—
1393	#97	C₂²×D₁₃	1	1	yes	characteristic
1394	C₄×C₈	—	13	1	no	—
1395	C₄×C₈	—	13	1	no	—
1396	C₂×C₁₃	—	4	1	no	—
1397	C₂×C₁₃	—	4	2	no	—
1398	C₂×C₁₃	—	4	1	no	—
1399	C₂×C₁₃	#3484	1	1	yes	characteristic
1400	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
1401	C₂×C₁₃	#3586	1	1	yes	characteristic
1402	D₁₃	—	2	2	no	—
1403	D₁₃	—	4	1	no	—
1404	D₁₃	—	4	1	no	—
1405	D₁₃	—	8	1	no	—
1406	C₂⁴	—	13	1	no	—
1407	C₂⁴	—	26	1	no	—
1408	#41	—	2	2	no	—
1409	#41	—	2	2	no	—
1410	#41	—	4	1	no	—
1411	#41	—	4	1	no	—
1412	#41	—	26	2	no	—
1413	#41	—	26	2	no	—
1414	#41	—	26	2	no	—
1415	#41	—	26	2	no	—
1416	#41	—	52	1	no	—
1417	#41	—	52	1	no	—
1418	#41	—	52	1	no	—
1419	#41	—	52	4	no	—
1420	#41	—	52	4	no	—
1421	#41	—	52	1	no	—
1422	#41	—	52	4	no	—
1423	#41	—	52	4	no	—
1424	#41	—	52	1	no	—
1425	#41	—	52	1	no	—
1426	#41	—	52	4	no	—
1427	C₂×Q₈	—	13	1	no	—
1428	C₂×Q₈	—	13	1	no	—
1429	C₂×Q₈	—	13	1	no	—
1430	C₂×Q₈	—	13	1	no	—
1431	C₂×Q₈	—	13	1	no	—
1432	C₂×Q₈	—	13	1	no	—
1433	C₂×Q₈	—	26	1	no	—
1434	C₂×Q₈	—	26	1	no	—
1435	C₂×Q₈	—	26	1	no	—
1436	C₂×Q₈	—	26	1	no	—
1437	C₂×Q₈	—	26	1	no	—
1438	C₂×Q₈	—	26	2	no	—
1439	C₂×Q₈	—	26	1	no	—
1440	C₂×Q₈	—	26	1	no	—
1441	C₂×Q₈	—	26	1	no	—
1442	C₂×Q₈	—	26	2	no	—
1443	C₂×Q₈	—	26	2	no	—
1444	C₂×Q₈	—	52	1	no	—
1445	C₂×Q₈	—	52	1	no	—
1446	C₂×Q₈	—	52	1	no	—
1447	C₂×Q₈	—	52	1	no	—
1448	C₂×Q₈	—	52	1	no	—
1449	C₂×Q₈	—	52	4	no	—
1450	C₂×Q₈	—	52	1	no	—
1451	C₂×Q₈	—	52	1	no	—
1452	C₂×Q₈	—	52	1	no	—
1453	C₂×Q₈	—	52	1	no	—
1454	C₂×Q₈	—	52	1	no	—
1455	C₂×Q₈	—	52	1	no	—
1456	C₂×Q₈	—	52	1	no	—
1457	C₂×Q₈	—	52	1	no	—
1458	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1459	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1460	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1461	C₂×D₄	—	2	1	no	—
1462	C₂×D₄	—	2	1	no	—
1463	C₂×D₄	—	13	1	no	—
1464	C₂×D₄	—	13	1	no	—
1465	C₂×D₄	—	13	1	no	—
1466	C₂×D₄	—	13	1	no	—
1467	C₂×D₄	—	13	1	no	—
1468	C₂×D₄	—	13	1	no	—
1469	C₂×D₄	—	13	1	no	—
1470	C₂×D₄	—	26	1	no	—
1471	C₂×D₄	—	26	1	no	—
1472	C₂×D₄	—	26	1	no	—
1473	C₂×D₄	—	26	1	no	—
1474	C₂×D₄	—	26	2	no	—
1475	C₂×D₄	—	26	1	no	—
1476	C₂×D₄	—	26	1	no	—
1477	C₂×D₄	—	26	1	no	—
1478	C₂×D₄	—	52	1	no	—
1479	C₂×D₄	—	52	4	no	—
1480	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1481	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1482	C₂²×C₄	—	2	1	no	—
1483	C₂²×C₄	—	2	1	no	—
1484	C₂²×C₄	—	2	1	no	—
1485	C₂²×C₄	—	2	1	no	—
1486	C₂²×C₄	—	13	1	no	—
1487	C₂²×C₄	—	13	1	no	—
1488	C₂²×C₄	—	13	1	no	—
1489	C₂²×C₄	—	13	1	no	—
1490	C₂²×C₄	—	13	1	no	—
1491	C₂²×C₄	—	13	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	—	26	1	no	—
1500	C₂²×C₄	—	26	1	no	—
1501	C₂²×C₄	—	26	1	no	—
1502	C₂²×C₄	—	26	1	no	—
1503	C₂²×C₄	—	26	1	no	—
1504	C₂²×C₄	—	26	1	no	—
1505	C₂²×C₄	—	26	1	no	—
1506	C₂²×C₄	—	26	1	no	—
1507	C₂²×C₄	—	52	1	no	—
1508	C₂²×C₄	—	52	1	no	—
1509	C₂²×C₄	—	52	4	no	—
1510	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1511	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1512	Q₁₆	—	4	1	no	—
1513	Q₁₆	—	4	1	no	—
1514	Q₁₆	—	26	2	no	—
1515	Q₁₆	—	26	2	no	—
1516	Q₁₆	—	26	2	no	—
1517	Q₁₆	—	26	2	no	—
1518	Q₁₆	—	52	1	no	—
1519	Q₁₆	—	52	1	no	—
1520	Q₁₆	—	52	1	no	—
1521	Q₁₆	—	52	1	no	—
1522	Q₁₆	—	52	1	no	—
1523	Q₁₆	—	52	1	no	—
1524	Q₁₆	—	52	1	no	—
1525	Q₁₆	—	52	1	no	—
1526	Q₁₆	—	52	1	no	—
1527	Q₁₆	—	52	1	no	—
1528	SD₁₆	—	2	2	no	—
1529	SD₁₆	—	26	2	no	—
1530	SD₁₆	—	26	2	no	—
1531	SD₁₆	—	26	2	no	—
1532	SD₁₆	—	52	1	no	—
1533	SD₁₆	—	52	1	no	—
1534	SD₁₆	—	52	1	no	—
1535	SD₁₆	—	52	1	no	—
1536	M₁₆	—	4	1	no	—
1537	M₁₆	—	52	1	no	—
1538	M₁₆	—	52	1	no	—
1539	M₁₆	—	52	1	no	—
1540	C₂×C₈	—	4	1	no	—
1541	C₂×C₈	—	13	1	no	—
1542	C₂×C₈	—	13	1	no	—
1543	C₂×C₈	—	13	1	no	—
1544	C₂×C₈	—	13	1	no	—
1545	C₂×C₈	—	52	1	no	—
1546	C₂×C₈	—	52	1	no	—
1547	C₂×C₈	—	52	1	no	—
1548	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1549	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1550	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1551	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	2	1	no	—
1558	C₄⋊C₄	—	2	1	no	—
1559	C₄⋊C₄	—	2	1	no	—
1560	C₄⋊C₄	—	2	1	no	—
1561	C₄⋊C₄	—	2	1	no	—
1562	C₄⋊C₄	—	13	1	no	—
1563	C₄⋊C₄	—	13	1	no	—
1564	C₄⋊C₄	—	13	1	no	—
1565	C₄⋊C₄	—	13	1	no	—
1566	C₄⋊C₄	—	13	1	no	—
1567	C₄⋊C₄	—	13	1	no	—
1568	C₄⋊C₄	—	13	1	no	—
1569	C₄⋊C₄	—	26	1	no	—
1570	C₄⋊C₄	—	26	1	no	—
1571	C₄⋊C₄	—	26	1	no	—
1572	C₄⋊C₄	—	26	1	no	—
1573	C₄⋊C₄	—	26	1	no	—
1574	C₄⋊C₄	—	26	1	no	—
1575	C₄⋊C₄	—	26	1	no	—
1576	C₄⋊C₄	—	26	1	no	—
1577	C₄⋊C₄	—	26	1	no	—
1578	C₄⋊C₄	—	26	1	no	—
1579	C₄⋊C₄	—	26	1	no	—
1580	C₄⋊C₄	—	26	1	no	—
1581	C₄⋊C₄	—	26	1	no	—
1582	C₄⋊C₄	—	26	1	no	—
1583	C₄⋊C₄	—	26	1	no	—
1584	C₄⋊C₄	—	26	1	no	—
1585	C₄⋊C₄	—	26	1	no	—
1586	C₄⋊C₄	—	26	1	no	—
1587	C₄⋊C₄	—	26	1	no	—
1588	C₄⋊C₄	—	26	1	no	—
1589	C₄⋊C₄	—	26	1	no	—
1590	C₄⋊C₄	—	26	1	no	—
1591	C₄⋊C₄	—	26	1	no	—
1592	C₄⋊C₄	—	26	1	no	—
1593	C₄⋊C₄	—	26	1	no	—
1594	C₄⋊C₄	—	26	1	no	—
1595	C₄⋊C₄	—	26	1	no	—
1596	C₄⋊C₄	—	26	1	no	—
1597	C₄⋊C₄	—	26	1	no	—
1598	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1599	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1600	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1601	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1602	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	—	2	1	no	—
1605	C₂²⋊C₄	—	2	1	no	—
1606	C₂²⋊C₄	—	2	1	no	—
1607	C₂²⋊C₄	—	2	1	no	—
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	13	1	no	—
1610	C₂²⋊C₄	—	13	1	no	—
1611	C₂²⋊C₄	—	13	1	no	—
1612	C₂²⋊C₄	—	13	1	no	—
1613	C₂²⋊C₄	—	13	1	no	—
1614	C₂²⋊C₄	—	13	1	no	—
1615	C₂²⋊C₄	—	13	1	no	—
1616	C₂²⋊C₄	—	13	1	no	—
1617	C₂²⋊C₄	—	26	1	no	—
1618	C₂²⋊C₄	—	26	1	no	—
1619	C₂²⋊C₄	—	26	1	no	—
1620	C₂²⋊C₄	—	26	1	no	—
1621	C₂²⋊C₄	—	26	1	no	—
1622	C₂²⋊C₄	—	26	1	no	—
1623	C₂²⋊C₄	—	26	1	no	—
1624	C₂²⋊C₄	—	26	1	no	—
1625	C₂²⋊C₄	—	26	1	no	—
1626	C₂²⋊C₄	—	26	1	no	—
1627	C₂²⋊C₄	—	26	1	no	—
1628	C₂²⋊C₄	—	26	1	no	—
1629	C₂²⋊C₄	—	26	1	no	—
1630	C₂²⋊C₄	—	26	1	no	—
1631	C₂²⋊C₄	—	26	1	no	—
1632	C₂²⋊C₄	—	26	1	no	—
1633	C₂²⋊C₄	—	26	1	no	—
1634	C₂²⋊C₄	—	26	1	no	—
1635	C₂²⋊C₄	—	26	1	no	—
1636	C₂²⋊C₄	—	26	1	no	—
1637	C₂²⋊C₄	—	26	1	no	—
1638	C₂²⋊C₄	—	26	1	no	—
1639	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1640	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1641	C₄²	—	2	1	no	—
1642	C₄²	—	2	1	no	—
1643	C₄²	—	13	1	no	—
1644	C₄²	—	26	1	no	—
1645	C₄²	—	26	1	no	—
1646	C₄²	—	26	1	no	—
1647	C₄²	—	26	1	no	—
1648	C₄²	—	26	1	no	—
1649	C₄²	—	26	1	no	—
1650	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1651	C₁₃	#61622	1	1	yes	characteristic, complemented, Sylow
1652	C₂³	—	2	1	no	—
1653	C₂³	—	13	1	no	—
1654	C₂³	—	13	1	no	—
1655	C₂³	—	13	1	no	—
1656	C₂³	—	26	2	no	—
1657	C₂³	—	26	1	no	—
1658	C₂³	—	52	1	no	—
1659	C₂³	—	52	1	no	—
1660	C₂³	—	52	2	no	—
1661	C₂³	—	52	2	no	—
1662	C₂³	—	104	1	no	—
1663	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1664	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1665	Q₈	—	2	1	no	—
1666	Q₈	—	2	1	no	—
1667	Q₈	—	2	1	no	—
1668	Q₈	—	2	1	no	—
1669	Q₈	—	2	1	no	—
1670	Q₈	—	2	1	no	—
1671	Q₈	—	13	2	no	—
1672	Q₈	—	26	1	no	—
1673	Q₈	—	26	1	no	—
1674	Q₈	—	26	1	no	—
1675	Q₈	—	26	1	no	—
1676	Q₈	—	26	1	no	—
1677	Q₈	—	26	1	no	—
1678	Q₈	—	26	1	no	—
1679	Q₈	—	26	1	no	—
1680	Q₈	—	26	1	no	—
1681	Q₈	—	52	1	no	—
1682	Q₈	—	52	2	no	—
1683	Q₈	—	52	2	no	—
1684	Q₈	—	52	2	no	—
1685	Q₈	—	52	2	no	—
1686	Q₈	—	104	1	no	—
1687	Q₈	—	104	1	no	—
1688	Q₈	—	104	1	no	—
1689	Q₈	—	104	1	no	—
1690	D₄	—	2	1	no	—
1691	D₄	—	4	1	no	—
1692	D₄	—	4	2	no	—
1693	D₄	—	4	2	no	—
1694	D₄	—	26	2	no	—
1695	D₄	—	26	2	no	—
1696	D₄	—	26	4	no	—
1697	D₄	—	26	1	no	—
1698	D₄	—	26	1	no	—
1699	D₄	—	52	1	no	—
1700	D₄	—	52	2	no	—
1701	D₄	—	52	1	no	—
1702	D₄	—	52	1	no	—
1703	D₄	—	52	1	no	—
1704	D₄	—	52	2	no	—
1705	D₄	—	52	2	no	—
1706	D₄	—	52	2	no	—
1707	D₄	—	104	1	no	—
1708	D₄	—	104	1	no	—
1709	D₄	#88256	1	2	yes	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	1	no	—
1718	C₂×C₄	—	2	1	no	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	4	2	no	—
1722	C₂×C₄	—	4	2	no	—
1723	C₂×C₄	—	4	2	no	—
1724	C₂×C₄	—	8	1	no	—
1725	C₂×C₄	—	13	1	no	—
1726	C₂×C₄	—	13	1	no	—
1727	C₂×C₄	—	13	1	no	—
1728	C₂×C₄	—	13	1	no	—
1729	C₂×C₄	—	13	1	no	—
1730	C₂×C₄	—	26	4	no	—
1731	C₂×C₄	—	26	1	no	—
1732	C₂×C₄	—	26	1	no	—
1733	C₂×C₄	—	26	1	no	—
1734	C₂×C₄	—	26	1	no	—
1735	C₂×C₄	—	26	1	no	—
1736	C₂×C₄	—	26	1	no	—
1737	C₂×C₄	—	26	1	no	—
1738	C₂×C₄	—	26	1	no	—
1739	C₂×C₄	—	26	1	no	—
1740	C₂×C₄	—	26	1	no	—
1741	C₂×C₄	—	26	1	no	—
1742	C₂×C₄	—	26	1	no	—
1743	C₂×C₄	—	26	1	no	—
1744	C₂×C₄	—	52	1	no	—
1745	C₂×C₄	—	52	1	no	—
1746	C₂×C₄	—	52	2	no	—
1747	C₂×C₄	—	52	2	no	—
1748	C₂×C₄	—	52	2	no	—
1749	C₂×C₄	—	52	2	no	—
1750	C₂×C₄	—	52	2	no	—
1751	C₂×C₄	—	52	2	no	—
1752	C₂×C₄	—	52	1	no	—
1753	C₂×C₄	—	52	2	no	—
1754	C₂×C₄	—	52	2	no	—
1755	C₂×C₄	—	104	1	no	—
1756	C₂×C₄	—	104	1	no	—
1757	C₂×C₄	—	104	1	no	—
1758	C₂×C₄	—	104	1	no	—
1759	C₂×C₄	—	104	1	no	—
1760	C₂×C₄	—	104	1	no	—
1761	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1762	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1763	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1764	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1765	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1766	C₈	—	2	1	no	—
1767	C₈	—	2	1	no	—
1768	C₈	—	2	1	no	—
1769	C₈	—	2	1	no	—
1770	C₈	—	26	1	no	—
1771	C₈	—	26	1	no	—
1772	C₈	—	26	1	no	—
1773	C₈	—	26	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	2	no	—
1777	C₂²	—	2	1	no	—
1778	C₂²	—	2	1	no	—
1779	C₂²	—	2	1	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	4	1	no	—
1782	C₂²	—	4	1	no	—
1783	C₂²	—	13	2	no	—
1784	C₂²	—	26	1	no	—
1785	C₂²	—	26	1	no	—
1786	C₂²	—	26	1	no	—
1787	C₂²	—	26	1	no	—
1788	C₂²	—	26	1	no	—
1789	C₂²	—	26	1	no	—
1790	C₂²	—	26	1	no	—
1791	C₂²	—	26	1	no	—
1792	C₂²	—	52	1	no	—
1793	C₂²	—	52	1	no	—
1794	C₂²	—	52	1	no	—
1795	C₂²	—	104	2	no	—
1796	C₂²	—	104	4	no	—
1797	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1798	C₄	—	2	1	no	—
1799	C₄	—	2	1	no	—
1800	C₄	—	2	1	no	—
1801	C₄	—	2	1	no	—
1802	C₄	—	4	1	no	—
1803	C₄	—	4	1	no	—
1804	C₄	—	4	1	no	—
1805	C₄	—	4	1	no	—
1806	C₄	—	4	1	no	—
1807	C₄	—	4	1	no	—
1808	C₄	—	4	1	no	—
1809	C₄	—	26	1	no	—
1810	C₄	—	26	1	no	—
1811	C₄	—	26	1	no	—
1812	C₄	—	26	2	no	—
1813	C₄	—	26	1	no	—
1814	C₄	—	26	1	no	—
1815	C₄	—	52	1	no	—
1816	C₄	—	52	1	no	—
1817	C₄	—	52	1	no	—
1818	C₄	—	52	1	no	—
1819	C₄	—	52	1	no	—
1820	C₄	—	52	1	no	—
1821	C₄	C₂×#88256	1	1	yes	characteristic
1822	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1823	C₂	—	4	1	no	—
1824	C₂	—	4	1	no	—
1825	C₂	—	4	2	no	—
1826	C₂	—	26	2	no	—
1827	C₂	—	52	1	no	—
1828	C₂	—	52	1	no	—
1829	C₂	—	104	1	no	—
1830	C₂	#13128466	1	1	yes	characteristic
1831	C₂	D₁₃×#578	1	1	yes	characteristic
1832	C₂	#13129620	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3315	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128510	C₂
hypercenter	#3315	D₁₃
hypocenter	C₁₃	#61622
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3315

Complements

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

N	H ≅ G/N	type
1. #13129082	C₂	semidirect
3. #13127107	C₂	semidirect
4. #13127098	C₂	semidirect
5. #13126933	C₂	semidirect
6. #13126890	C₂	semidirect
7. #13126886	C₂	semidirect
8. #13126672	C₂	semidirect
9. #13126668	C₂	semidirect
10. #13126585	C₂	semidirect
11. #13126583	C₂	semidirect
12. #13126480	C₂	semidirect
13. #13126478	C₂	semidirect
14. #13126413	C₂	semidirect
15. #13126411	C₂	semidirect
16. #13126348	C₂	semidirect
17. #13126344	C₂	semidirect
18. #13125920	C₂	semidirect
19. #13125918	C₂	semidirect
20. #13125724	C₂	semidirect
21. #13125721	C₂	semidirect
22. #13125656	C₂	semidirect
23. #13125610	C₂	semidirect
24. #13125055	C₂	semidirect
25. #13125054	C₂	semidirect
26. #13124134	C₂	semidirect
27. #13124128	C₂	semidirect
28. #13124097	C₂	semidirect
29. D₁₃×#452	C₂	semidirect
30. #13123883	C₂	semidirect
31. C₁₃×#3315	C₂	semidirect
34. C₁₃×#552	C₂²	semidirect
39. C₂×#88205	C₂²	semidirect
41. C₂×Q₁₆×D₁₃	C₂²	semidirect
42. C₂×#88169	C₂²	semidirect
45. C₂²×Dic₅₂	C₂²	semidirect
51. #11719402	C₂²	semidirect
63. #11719337	C₂²	semidirect
65. #11719333	C₂²	semidirect
70. #11719288	C₂²	semidirect
76. D₄×Dic₂₆	C₂²	semidirect
79. #11719231	C₂²	semidirect
81. #11719218	C₂²	semidirect
85. C₁₃×#491	C₂²	semidirect
86. C₁₃×#485	C₂²	semidirect
87. C₁₃×#484	C₂²	semidirect
88. C₁₃×#478	C₂²	semidirect
89. C₁₃×#470	C₂²	semidirect
90. C₁₃×#467	C₂²	semidirect
91. C₁₃×#462	C₂²	semidirect
93. C₁₃×#452	C₂²	semidirect
94. C₁₃×#440	C₂²	semidirect
95. C₁₃×#435	C₂²	semidirect
97. C₁₃×#416	C₂²	semidirect
99. #11718900	C₂²	semidirect
100. #11718851	C₂²	semidirect
103. #11718847	C₂²	semidirect
104. #11718847	C₂²	semidirect
105. #11718842	C₂²	semidirect
107. #11718823	C₂²	semidirect
108. #11718798	C₂²	semidirect
109. #11718788	C₂²	semidirect
111. #11718775	C₂²	semidirect
112. #11718771	C₂²	semidirect
114. #11718753	C₂²	semidirect
115. #11718751	C₂²	semidirect
116. #11718729	C₂²	semidirect
117. #11718724	C₂²	semidirect
118. #11718713	C₂²	semidirect
119. #11718713	C₂²	semidirect
120. #11718713	C₂²	semidirect
121. #11718711	C₂²	semidirect
122. #11718711	C₂²	semidirect
123. #11718711	C₂²	semidirect
124. #11718710	C₂²	semidirect
126. C₄×#6107	C₂²	semidirect
127. #11718689	C₂²	semidirect
128. #11718680	C₂²	semidirect
129. C₄×#6105	C₂²	semidirect
130. #11718673	C₂²	semidirect
131. #11718665	C₂²	semidirect
132. #11718664	C₂²	semidirect
133. #11718631	C₂²	semidirect
137. #11718547	C₂²	semidirect
138. #11718546	C₂²	semidirect
139. #11718545	C₂²	semidirect
140. #11718545	C₂²	semidirect
141. #11718538	C₂²	semidirect
142. #11718534	C₂²	semidirect
143. #11718525	C₂²	semidirect
145. #11718523	C₂²	semidirect
146. #11718514	C₂²	semidirect
147. #11718510	C₂²	semidirect
148. #11718506	C₂²	semidirect
149. #11718501	C₂²	semidirect
151. #11718477	C₂²	semidirect
152. #11718476	C₂²	semidirect
155. #11718474	C₂²	semidirect
162. #11718469	C₂²	semidirect
163. #11718469	C₂²	semidirect
164. #11718469	C₂²	semidirect
165. #11718469	C₂²	semidirect
166. #11718469	C₂²	semidirect
167. #11718467	C₂²	semidirect
169. #11718466	C₂²	semidirect
170. #11718463	C₂²	semidirect
172. #11718461	C₂²	semidirect
173. #11718459	C₂²	semidirect
174. #11718459	C₂²	semidirect
175. #11718458	C₂²	semidirect
176. #11718454	C₂²	semidirect
177. #11718454	C₂²	semidirect
178. #11718454	C₂²	semidirect
182. #11718444	C₂²	semidirect
183. #11718444	C₂²	semidirect
186. #11718433	C₂²	semidirect
188. #11718424	C₂²	semidirect
189. #11718419	C₂²	semidirect
190. #11718418	C₂²	semidirect
191. #11718400	C₂²	semidirect
192. #11718400	C₂²	semidirect
193. #11718399	C₂²	semidirect
195. #11718390	C₂²	semidirect
197. #11718388	C₂²	semidirect
199. #11718377	C₂²	semidirect
200. #11718376	C₂²	semidirect
201. #11718370	C₂²	semidirect
741. #3315	D₁₃	semidirect
904. #552	C₂×D₁₃	semidirect
947. #491	C₂×D₁₃	semidirect
951. #485	C₂×D₁₃	semidirect
955. #484	C₂×D₁₃	semidirect
965. #478	C₂×D₁₃	semidirect
971. #470	C₂×D₁₃	semidirect
979. #467	C₂×D₁₃	semidirect
991. #462	C₂×D₁₃	semidirect
1009. #452	C₂×D₁₃	semidirect
1033. #440	C₂×D₁₃	semidirect
1043. #435	C₂×D₁₃	semidirect
1053. #416	C₂×D₁₃	semidirect
1651. C₁₃	#61622	semidirect

Maximal subgroups

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

subgroup	index
#13129082	2
#13128510	2
#13127107	2
#13127098	2
#13126933	2
#13126890	2
#13126886	2
#13126672	2
#13126668	2
#13126585	2
#13126583	2
#13126480	2
#13126478	2
#13126413	2
#13126411	2
#13126348	2
#13126344	2
#13125920	2
#13125918	2
#13125724	2
#13125721	2
#13125656	2
#13125610	2
#13125055	2
#13125054	2
#13124134	2
#13124128	2
#13124097	2
D₁₃×#452	2
#13123883	2
C₁₃×#3315	2
#61622	13