Subgroups — #16733777

Order 3328.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128503	C₂	1	1	yes	maximal, characteristic
2	D₁₃×#536	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125720	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125718	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125716	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125714	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125710	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125708	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125706	C₂	1	1	yes	maximal, characteristic, complemented
10	#13125670	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125661	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125639	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125637	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125621	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125612	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125590	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125588	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124802	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124800	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124775	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124748	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124522	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124520	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124473	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124470	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124108	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124108	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124067	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#448	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123284	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3200	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
34	C₂×#88251	C₂²	1	1	yes	characteristic
35	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#535	C₂²	1	1	yes	characteristic
37	#11719538	C₂²	1	1	yes	characteristic
38	#11719530	C₂²	1	1	yes	characteristic, complemented
39	#11719521	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88192	C₂²	1	1	yes	characteristic
41	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
43	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88161	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88155	C₂²	1	1	yes	characteristic, complemented
47	#11719429	—	2	1	no	—
48	D₁₃×C₄⋊Q₈	—	2	1	no	—
49	#11719423	—	2	1	no	—
50	#11719422	—	2	1	no	—
51	#11719382	—	2	1	no	—
52	#11719381	—	2	1	no	—
53	#11719380	—	2	1	no	—
54	D₁₃×#124	—	2	1	no	—
55	D₁₃×#123	—	2	1	no	—
56	D₁₃×#123	—	2	1	no	—
57	#11719353	—	2	1	no	—
58	#11719353	—	2	1	no	—
59	#11719333	C₂²	1	1	yes	characteristic
60	#11719333	C₂²	1	1	yes	characteristic
61	#11719333	C₂²	1	1	yes	characteristic, complemented
62	#11719333	C₂²	1	1	yes	characteristic, complemented
63	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
64	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
65	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
66	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
67	#11719313	C₂²	1	1	yes	characteristic
68	#11719313	C₂²	1	1	yes	characteristic
69	#11719312	C₂²	1	1	yes	characteristic
70	#11719312	C₂²	1	1	yes	characteristic
71	#11719311	C₂²	1	1	yes	characteristic
72	#11719311	C₂²	1	1	yes	characteristic
73	D₁₃×#121	C₂²	1	1	yes	characteristic
74	D₁₃×#121	C₂²	1	1	yes	characteristic
75	#11719296	—	2	1	no	—
76	#11719296	—	2	1	no	—
77	#11719295	—	2	1	no	—
78	#11719295	—	2	1	no	—
79	#11719231	C₂²	1	1	yes	characteristic, complemented
80	#11719229	C₂²	1	1	yes	characteristic
81	#11719228	C₂²	1	1	yes	characteristic
82	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
96	#11718895	C₂²	1	1	yes	characteristic, complemented
97	#11718889	C₂²	1	1	yes	characteristic, complemented
98	#11718888	C₂²	1	1	yes	characteristic, complemented
99	#11718879	C₂²	1	1	yes	characteristic, complemented
100	#11718879	C₂²	1	1	yes	characteristic, complemented
101	#11718835	C₂²	1	1	yes	characteristic, complemented
102	#11718835	C₂²	1	1	yes	characteristic, complemented
103	#11718834	C₂²	1	1	yes	characteristic, complemented
104	#11718834	C₂²	1	1	yes	characteristic, complemented
105	#11718832	C₂²	1	1	yes	characteristic, complemented
106	#11718832	C₂²	1	1	yes	characteristic, complemented
107	#11718831	C₂²	1	1	yes	characteristic, complemented
108	#11718831	C₂²	1	1	yes	characteristic, complemented
109	#11718831	C₂²	1	1	yes	characteristic, complemented
110	#11718831	C₂²	1	1	yes	characteristic, complemented
111	#11718830	C₂²	1	1	yes	characteristic, complemented
112	#11718830	C₂²	1	1	yes	characteristic, complemented
113	#11718798	C₂²	1	1	yes	characteristic, complemented
114	#11718795	C₂²	1	1	yes	characteristic, complemented
115	#11718787	C₂²	1	1	yes	characteristic, complemented
116	#11718777	C₂²	1	1	yes	characteristic, complemented
117	#11718775	C₂²	1	1	yes	characteristic, complemented
118	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
119	#11718713	C₂²	1	1	yes	characteristic, complemented
120	#11718712	C₂²	1	1	yes	characteristic, complemented
121	#11718710	C₂²	1	1	yes	characteristic, complemented
122	#11718709	C₂²	1	1	yes	characteristic, complemented
123	#11718708	C₂²	1	1	yes	characteristic, complemented
124	#11718708	C₂²	1	1	yes	characteristic, complemented
125	#11718705	C₂²	1	1	yes	characteristic, complemented
126	#11718704	C₂²	1	1	yes	characteristic, complemented
127	#11718703	C₂²	1	1	yes	characteristic, complemented
128	#11718703	C₂²	1	1	yes	characteristic, complemented
129	#11718702	C₂²	1	1	yes	characteristic, complemented
130	#11718702	C₂²	1	1	yes	characteristic, complemented
131	#11718701	C₂²	1	1	yes	characteristic, complemented
132	#11718701	C₂²	1	1	yes	characteristic, complemented
133	#11718696	C₂²	1	1	yes	characteristic, complemented
134	#11718696	C₂²	1	1	yes	characteristic, complemented
135	#11718664	C₂²	1	1	yes	characteristic, complemented
136	#11718657	C₂²	1	1	yes	characteristic, complemented
137	#11718657	C₂²	1	1	yes	characteristic, complemented
138	#11718657	C₂²	1	1	yes	characteristic, complemented
139	#11718549	C₂²	1	1	yes	characteristic, complemented
140	#11718548	C₂²	1	1	yes	characteristic, complemented
141	#11718547	C₂²	1	1	yes	characteristic, complemented
142	#11718545	C₂²	1	1	yes	characteristic, complemented
143	#11718545	C₂²	1	1	yes	characteristic, complemented
144	#11718543	C₂²	1	1	yes	characteristic, complemented
145	#11718542	C₂²	1	1	yes	characteristic, complemented
146	#11718541	C₂²	1	1	yes	characteristic, complemented
147	#11718529	C₂²	1	1	yes	characteristic, complemented
148	#11718528	C₂²	1	1	yes	characteristic, complemented
149	#11718525	C₂²	1	1	yes	characteristic, complemented
150	#11718524	C₂²	1	1	yes	characteristic, complemented
151	#11718523	C₂²	1	1	yes	characteristic, complemented
152	#11718523	C₂²	1	1	yes	characteristic, complemented
153	#11718522	C₂²	1	1	yes	characteristic, complemented
154	#11718521	C₂²	1	1	yes	characteristic, complemented
155	#11718477	C₂²	1	1	yes	characteristic, complemented
156	#11718476	C₂²	1	1	yes	characteristic, complemented
157	#11718475	C₂²	1	1	yes	characteristic, complemented
158	#11718474	C₂²	1	1	yes	characteristic, complemented
159	#11718473	C₂²	1	1	yes	characteristic, complemented
160	#11718470	C₂²	1	1	yes	characteristic, complemented
161	#11718469	C₂²	1	1	yes	characteristic, complemented
162	#11718469	C₂²	1	1	yes	characteristic, complemented
163	#11718468	C₂²	1	1	yes	characteristic, complemented
164	#11718467	C₂²	1	1	yes	characteristic, complemented
165	#11718467	C₂²	1	1	yes	characteristic, complemented
166	#11718466	C₂²	1	1	yes	characteristic, complemented
167	#11718463	C₂²	1	1	yes	characteristic, complemented
168	#11718463	C₂²	1	1	yes	characteristic, complemented
169	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
170	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
171	#11718444	C₂²	1	1	yes	characteristic, complemented
172	#11718444	C₂²	1	1	yes	characteristic, complemented
173	#11718441	C₂²	1	1	yes	characteristic, complemented
174	#11718441	C₂²	1	1	yes	characteristic, complemented
175	#11718439	C₂²	1	1	yes	characteristic, complemented
176	#11718439	C₂²	1	1	yes	characteristic, complemented
177	#11718438	C₂²	1	1	yes	characteristic, complemented
178	#11718438	C₂²	1	1	yes	characteristic, complemented
179	#11718437	C₂²	1	1	yes	characteristic, complemented
180	#11718437	C₂²	1	1	yes	characteristic, complemented
181	#11718435	C₂²	1	1	yes	characteristic, complemented
182	#11718435	C₂²	1	1	yes	characteristic, complemented
183	#11718433	C₂²	1	1	yes	characteristic, complemented
184	#11718433	C₂²	1	1	yes	characteristic, complemented
185	#11718431	C₂²	1	1	yes	characteristic, complemented
186	#11718431	C₂²	1	1	yes	characteristic, complemented
187	#11718400	C₂²	1	1	yes	characteristic, complemented
188	#11718399	C₂²	1	1	yes	characteristic, complemented
189	#11718398	C₂²	1	1	yes	characteristic, complemented
190	#11718394	C₂²	1	1	yes	characteristic, complemented
191	#11718394	C₂²	1	1	yes	characteristic, complemented
192	#11718388	C₂²	1	1	yes	characteristic
193	#11718388	C₂²	1	1	yes	characteristic
194	#11718388	C₂²	1	1	yes	characteristic, complemented
195	#11718388	C₂²	1	1	yes	characteristic, complemented
196	#11718387	C₂²	1	1	yes	characteristic, complemented
197	#11718387	C₂²	1	1	yes	characteristic, complemented
198	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
200	#11718384	C₂²	1	1	yes	characteristic, complemented
201	#11718383	C₂²	1	1	yes	characteristic, complemented
202	#11718382	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₁₃	—	2	1	no	—
207	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	#41×D₁₃	—	4	2	no	—
210	#41×D₁₃	—	4	2	no	—
211	C₂×#6131	D₄	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	—	2	1	no	—
213	C₂×Q₈×D₁₃	—	2	1	no	—
214	C₂×Q₈×D₁₃	—	4	2	no	—
215	C₂×Q₈×D₁₃	—	4	2	no	—
216	C₂×Q₈×D₁₃	D₄	1	1	yes	characteristic
217	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
219	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
220	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
221	#88251	—	4	2	no	—
222	#88251	—	4	2	no	—
223	C₂×#6129	—	2	1	no	—
224	C₂×#6129	D₄	1	1	yes	characteristic
225	C₂×#6129	D₄	1	1	yes	characteristic
226	C₂×#6129	D₄	1	1	yes	characteristic
227	C₂×#6129	C₂³	1	1	yes	characteristic
228	C₂×#6129	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₁₃	—	2	1	no	—
230	C₂×D₄×D₁₃	—	2	1	no	—
231	C₂×D₄×D₁₃	—	2	1	no	—
232	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
233	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
234	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
235	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
236	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
237	C₂×#6127	C₂³	1	1	yes	characteristic
238	C₂×#6127	C₂³	1	1	yes	characteristic
239	C₂×#6127	C₂³	1	1	yes	characteristic
240	C₂×#6127	C₂³	1	1	yes	characteristic
241	C₂²×C₄×D₁₃	—	2	1	no	—
242	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
243	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
244	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
245	C₂²×Dic₂₆	—	2	1	no	—
246	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
252	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₁₃×C₄⋊Q₈	—	2	1	no	—
254	C₁₃×#127	—	2	1	no	—
255	C₁₃×#124	—	2	1	no	—
256	C₁₃×#124	—	2	1	no	—
257	C₁₃×#123	—	2	1	no	—
258	C₁₃×#123	—	2	1	no	—
259	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
260	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
261	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
262	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
263	C₁₃×#121	C₂³	1	1	yes	characteristic
264	C₁₃×#121	C₂³	1	1	yes	characteristic
265	C₁₃×#121	C₂³	1	1	yes	characteristic
266	C₁₃×#121	C₂³	1	1	yes	characteristic
267	C₁₃×#120	—	2	1	no	—
268	C₁₃×#120	—	2	1	no	—
269	C₁₃×#117	C₂³	1	1	yes	characteristic
270	C₁₃×#117	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
272	#88201	—	2	1	no	—
273	#88200	—	2	1	no	—
274	#88200	C₂³	1	1	yes	characteristic
275	#88200	C₂³	1	1	yes	characteristic
276	#88200	C₂³	1	1	yes	characteristic
277	#88200	C₂³	1	1	yes	characteristic
278	#88198	—	2	1	no	—
279	#88198	—	2	1	no	—
280	C₂×#6107	C₂³	1	1	yes	characteristic
281	C₂×#6107	C₂³	1	1	yes	characteristic
282	C₂×#6106	C₂³	1	1	yes	characteristic
283	C₂×#6106	C₂³	1	1	yes	characteristic
284	#88194	—	2	1	no	—
285	#88194	—	2	1	no	—
286	#88193	—	2	1	no	—
287	#88193	—	2	1	no	—
288	#88193	—	2	1	no	—
289	#88193	—	2	1	no	—
290	#88193	—	2	1	no	—
291	#88193	—	2	1	no	—
292	#88192	—	2	1	no	—
293	#88192	—	2	1	no	—
294	#88192	—	2	1	no	—
295	#88192	—	2	1	no	—
296	#88192	—	2	1	no	—
297	#88192	C₂³	1	1	yes	characteristic
298	#88192	C₂³	1	1	yes	characteristic
299	#88192	C₂³	1	1	yes	characteristic
300	#88192	C₂³	1	1	yes	characteristic
301	#88191	—	2	1	no	—
302	#88191	—	2	1	no	—
303	#88191	—	2	1	no	—
304	#88191	—	2	1	no	—
305	#88190	—	2	1	no	—
306	#88189	—	2	1	no	—
307	#88189	—	2	1	no	—
308	D₄×Dic₁₃	—	2	1	no	—
309	D₄×Dic₁₃	—	2	1	no	—
310	C₂×#6105	C₂³	1	1	yes	characteristic
311	C₂×#6105	C₂³	1	1	yes	characteristic
312	C₂×#6105	C₂³	1	1	yes	characteristic
313	C₂×#6105	C₂³	1	1	yes	characteristic
314	#88184	C₂³	1	1	yes	characteristic
315	#88184	C₂³	1	1	yes	characteristic
316	#88183	—	2	1	no	—
317	#88183	—	2	1	no	—
318	#88180	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
320	#88178	C₂³	1	1	yes	characteristic
321	#88178	C₂³	1	1	yes	characteristic
322	#88178	C₂³	1	1	yes	characteristic
323	#88178	C₂³	1	1	yes	characteristic
324	#88178	C₂³	1	1	yes	characteristic
325	#88178	C₂³	1	1	yes	characteristic
326	C₂×#6099	C₂³	1	1	yes	characteristic
327	C₂²×#1055	C₂³	1	1	yes	characteristic
328	#88169	—	4	2	no	—
329	#88169	—	4	2	no	—
330	SD₁₆×D₁₃	—	4	2	no	—
331	SD₁₆×D₁₃	—	4	2	no	—
332	#88161	—	4	2	no	—
333	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
334	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
335	C₂×#6095	C₂³	1	1	yes	characteristic
336	C₂×#6095	C₂³	1	1	yes	characteristic
337	#88155	—	4	2	no	—
338	C₂×#6094	C₂³	1	1	yes	characteristic
339	C₂×#6094	C₂³	1	1	yes	characteristic
340	C₂×#6094	C₂³	1	1	yes	characteristic
341	C₂×#6094	C₂³	1	1	yes	characteristic
342	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
343	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
344	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
345	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
346	#88151	C₂³	1	1	yes	characteristic
347	#88151	C₂³	1	1	yes	characteristic
348	#88151	C₂³	1	1	yes	characteristic
349	#88151	C₂³	1	1	yes	characteristic
350	#88151	C₂³	1	1	yes	characteristic
351	#88151	C₂³	1	1	yes	characteristic
352	#88150	—	2	1	no	—
353	#88150	—	2	1	no	—
354	#88150	—	2	1	no	—
355	#88150	—	2	1	no	—
356	#88149	C₂³	1	1	yes	characteristic
357	#88149	C₂³	1	1	yes	characteristic
358	#88148	—	2	1	no	—
359	#88148	—	2	1	no	—
360	#88148	—	2	1	no	—
361	#88148	—	2	1	no	—
362	#88146	C₂³	1	1	yes	characteristic
363	#88146	C₂³	1	1	yes	characteristic
364	#88146	C₂³	1	1	yes	characteristic
365	#88146	C₂³	1	1	yes	characteristic
366	C₄⋊C₄×D₁₃	—	2	1	no	—
367	C₄⋊C₄×D₁₃	—	2	1	no	—
368	C₄⋊C₄×D₁₃	—	2	1	no	—
369	C₄⋊C₄×D₁₃	—	2	1	no	—
370	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
371	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
372	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
373	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
374	#88142	—	2	1	no	—
375	#88142	—	2	1	no	—
376	#88142	—	2	1	no	—
377	#88142	—	2	1	no	—
378	#88140	—	2	1	no	—
379	#88140	—	2	1	no	—
380	#88140	—	2	1	no	—
381	#88139	—	2	1	no	—
382	#88139	—	2	1	no	—
383	#88139	—	2	1	no	—
384	#88139	—	2	1	no	—
385	#88139	—	2	1	no	—
386	#88139	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88138	—	2	1	no	—
389	#88138	—	2	1	no	—
390	#88138	—	2	1	no	—
391	#88137	—	2	1	no	—
392	#88137	—	2	1	no	—
393	#88137	—	2	1	no	—
394	#88137	—	2	1	no	—
395	#88137	—	2	1	no	—
396	#88137	—	2	1	no	—
397	#88136	—	2	1	no	—
398	#88136	—	2	1	no	—
399	#88136	—	2	1	no	—
400	#88135	—	2	1	no	—
401	#88135	—	2	1	no	—
402	#88135	—	2	1	no	—
403	#88135	—	2	1	no	—
404	C₂²⋊C₄×D₁₃	—	2	1	no	—
405	C₂²⋊C₄×D₁₃	—	2	1	no	—
406	C₂²⋊C₄×D₁₃	—	2	1	no	—
407	C₂²⋊C₄×D₁₃	—	2	1	no	—
408	C₂²⋊C₄×D₁₃	—	2	1	no	—
409	C₂²⋊C₄×D₁₃	—	2	1	no	—
410	C₂²⋊C₄×D₁₃	—	2	1	no	—
411	#88132	—	2	1	no	—
412	#88132	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	—	2	1	no	—
415	#88132	—	2	1	no	—
416	#88132	—	2	1	no	—
417	#88131	—	2	1	no	—
418	#88129	—	2	1	no	—
419	C₄×D₅₂	—	2	1	no	—
420	C₄×D₅₂	—	2	1	no	—
421	C₄×D₅₂	—	2	1	no	—
422	#88126	—	2	1	no	—
423	C₄²×D₁₃	—	2	1	no	—
424	#88123	—	2	1	no	—
425	C₄×Dic₂₆	—	2	1	no	—
426	C₁₃×#107	C₂³	1	1	yes	characteristic
427	C₁₃×#107	C₂³	1	1	yes	characteristic
428	C₁₃×#106	C₂³	1	1	yes	characteristic
429	C₁₃×#106	C₂³	1	1	yes	characteristic
430	C₁₃×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#102	C₂³	1	1	yes	characteristic
435	C₁₃×#102	C₂³	1	1	yes	characteristic
436	C₁₃×#102	C₂³	1	1	yes	characteristic
437	C₁₃×#102	C₂³	1	1	yes	characteristic
438	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88075	C₂³	1	1	yes	characteristic
445	#88075	C₂³	1	1	yes	characteristic
446	#88072	C₂³	1	1	yes	characteristic
447	#88072	C₂³	1	1	yes	characteristic
448	#88072	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	C₂²⋊#1055	C₂³	1	1	yes	characteristic
451	C₂²⋊#1055	C₂³	1	1	yes	characteristic
452	C₂²⋊#1055	C₂³	1	1	yes	characteristic
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88058	C₂³	1	1	yes	characteristic
465	#88058	C₂³	1	1	yes	characteristic
466	#88057	C₂³	1	1	yes	characteristic
467	#88057	C₂³	1	1	yes	characteristic
468	#88056	C₂³	1	1	yes	characteristic
469	#88056	C₂³	1	1	yes	characteristic
470	#88056	C₂³	1	1	yes	characteristic
471	#88056	C₂³	1	1	yes	characteristic
472	#88056	C₂³	1	1	yes	characteristic
473	#88056	C₂³	1	1	yes	characteristic
474	#88050	C₂³	1	1	yes	characteristic
475	#88050	C₂³	1	1	yes	characteristic
476	#88050	C₂³	1	1	yes	characteristic
477	#88050	C₂³	1	1	yes	characteristic
478	#88050	C₂³	1	1	yes	characteristic
479	#88050	C₂³	1	1	yes	characteristic
480	#88049	C₂³	1	1	yes	characteristic
481	#88049	C₂³	1	1	yes	characteristic
482	#88048	C₂³	1	1	yes	characteristic
483	#88048	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic
485	#88048	C₂³	1	1	yes	characteristic
486	#88047	C₂³	1	1	yes	characteristic
487	#88047	C₂³	1	1	yes	characteristic
488	#88047	C₂³	1	1	yes	characteristic
489	#88047	C₂³	1	1	yes	characteristic
490	#60758	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
495	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
496	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
497	C₁₃×#41	—	4	1	no	—
498	C₁₃×#41	—	4	1	no	—
499	C₂×Q₈×C₁₃	—	2	1	no	—
500	C₂×Q₈×C₁₃	—	4	1	no	—
501	C₂×Q₈×C₁₃	—	4	1	no	—
502	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	4	1	no	—
511	C₂×D₄×C₁₃	—	4	1	no	—
512	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
514	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
515	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	4	4	no	—
533	C₂×C₂²⋊D₁₃	—	4	4	no	—
534	C₂×C₂²⋊D₁₃	—	8	2	no	—
535	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
536	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
538	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
539	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
540	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂²×Dic₁₃	—	2	1	no	—
542	C₂²×Dic₁₃	—	2	1	no	—
543	C₂²×Dic₁₃	—	2	1	no	—
544	C₂²×Dic₁₃	—	2	1	no	—
545	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
546	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
547	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
548	#6131	—	4	2	no	—
549	Q₈×D₁₃	—	2	2	no	—
550	Q₈×D₁₃	—	2	2	no	—
551	Q₈×D₁₃	—	2	2	no	—
552	Q₈×D₁₃	—	2	2	no	—
553	Q₈×D₁₃	—	4	2	no	—
554	Q₈×D₁₃	—	4	1	no	—
555	Q₈×D₁₃	—	4	1	no	—
556	Q₈×D₁₃	—	4	1	no	—
557	Q₈×D₁₃	—	4	1	no	—
558	Q₈×D₁₃	—	4	4	no	—
559	Q₈×D₁₃	—	4	4	no	—
560	#6129	—	2	2	no	—
561	#6129	—	2	2	no	—
562	#6129	—	4	1	no	—
563	#6129	—	4	1	no	—
564	#6129	—	4	2	no	—
565	#6129	—	4	2	no	—
566	#6129	—	4	4	no	—
567	#6129	—	4	2	no	—
568	D₄×D₁₃	—	2	2	no	—
569	D₄×D₁₃	—	2	2	no	—
570	D₄×D₁₃	—	4	1	no	—
571	D₄×D₁₃	—	4	1	no	—
572	D₄×D₁₃	—	4	2	no	—
573	D₄×D₁₃	—	4	2	no	—
574	D₄×D₁₃	—	4	2	no	—
575	D₄×D₁₃	—	4	4	no	—
576	D₄×D₁₃	—	8	2	no	—
577	D₄×D₁₃	—	8	2	no	—
578	#6127	—	2	2	no	—
579	#6127	—	2	2	no	—
580	#6127	—	2	2	no	—
581	#6127	—	2	2	no	—
582	#6127	—	4	1	no	—
583	#6127	—	4	1	no	—
584	#6127	—	4	1	no	—
585	#6127	—	4	1	no	—
586	C₂×D₅₂	—	2	1	no	—
587	C₂×D₅₂	—	2	1	no	—
588	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
589	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
590	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
591	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
592	C₂×C₄×D₁₃	—	2	2	no	—
593	C₂×C₄×D₁₃	—	2	2	no	—
594	C₂×C₄×D₁₃	—	2	1	no	—
595	C₂×C₄×D₁₃	—	2	1	no	—
596	C₂×C₄×D₁₃	—	2	1	no	—
597	C₂×C₄×D₁₃	—	2	1	no	—
598	C₂×C₄×D₁₃	—	2	1	no	—
599	C₂×C₄×D₁₃	—	2	1	no	—
600	C₂×C₄×D₁₃	—	2	1	no	—
601	C₂×C₄×D₁₃	—	2	1	no	—
602	C₂×C₄×D₁₃	—	2	1	no	—
603	C₂×C₄×D₁₃	—	4	1	no	—
604	C₂×C₄×D₁₃	—	4	1	no	—
605	C₂×C₄×D₁₃	—	4	1	no	—
606	C₂×C₄×D₁₃	—	4	1	no	—
607	C₂×C₄×D₁₃	—	4	4	no	—
608	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
609	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
610	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
611	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
612	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
613	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
614	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
615	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
616	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
617	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
618	C₂×Dic₂₆	—	2	1	no	—
619	C₂×Dic₂₆	—	2	1	no	—
620	C₂×Dic₂₆	—	2	1	no	—
621	C₂×Dic₂₆	—	2	1	no	—
622	C₂×Dic₂₆	—	2	1	no	—
623	C₂×Dic₂₆	—	4	1	no	—
624	C₂×Dic₂₆	—	4	1	no	—
625	C₂×Dic₂₆	—	4	4	no	—
626	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
627	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
628	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
629	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
630	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
631	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
632	C₁₃×SD₁₆	—	4	1	no	—
633	C₁₃×SD₁₆	—	4	1	no	—
634	C₁₃×SD₁₆	—	4	1	no	—
635	C₁₃×SD₁₆	—	4	1	no	—
636	C₁₃×M₁₆	—	4	1	no	—
637	C₂×C₈×C₁₃	—	4	1	no	—
638	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
639	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
640	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
641	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
642	C₁₃×C₄⋊C₄	—	2	1	no	—
643	C₁₃×C₄⋊C₄	—	2	1	no	—
644	C₁₃×C₄⋊C₄	—	2	1	no	—
645	C₁₃×C₄⋊C₄	—	2	1	no	—
646	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
648	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
649	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₁₃×C₂²⋊C₄	—	2	1	no	—
654	C₁₃×C₂²⋊C₄	—	2	1	no	—
655	C₁₃×C₂²⋊C₄	—	2	1	no	—
656	C₁₃×C₂²⋊C₄	—	2	1	no	—
657	C₁₃×C₂²⋊C₄	—	2	1	no	—
658	C₁₃×C₂²⋊C₄	—	2	1	no	—
659	C₁₃×C₂²⋊C₄	—	2	1	no	—
660	C₄²×C₁₃	—	2	1	no	—
661	C₄²×C₁₃	—	2	1	no	—
662	C₂²⋊Dic₁₃	—	2	1	no	—
663	C₂²⋊Dic₁₃	—	2	1	no	—
664	C₂²⋊Dic₁₃	—	2	1	no	—
665	C₂²⋊Dic₁₃	—	2	1	no	—
666	C₂²⋊Dic₁₃	—	2	1	no	—
667	C₂²⋊Dic₁₃	—	2	1	no	—
668	C₂²⋊Dic₁₃	—	2	1	no	—
669	C₂²⋊Dic₁₃	—	2	1	no	—
670	C₂²⋊Dic₁₃	—	2	1	no	—
671	C₂²⋊Dic₁₃	—	2	1	no	—
672	C₂²⋊Dic₁₃	—	2	1	no	—
673	#6107	—	4	1	no	—
674	#6107	—	4	1	no	—
675	#6106	—	4	1	no	—
676	#6106	—	4	1	no	—
677	#6105	—	4	1	no	—
678	#6105	—	4	1	no	—
679	#6105	—	4	1	no	—
680	#6105	—	4	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	—	2	1	no	—
684	#6103	—	2	1	no	—
685	#6103	—	2	1	no	—
686	#6103	—	2	1	no	—
687	#6103	—	2	1	no	—
688	#6103	—	2	1	no	—
689	#6103	—	2	1	no	—
690	#6103	—	2	1	no	—
691	#6103	—	2	1	no	—
692	#6103	—	2	1	no	—
693	#6103	—	2	1	no	—
694	#6103	—	2	1	no	—
695	#6103	—	2	1	no	—
696	#6103	—	2	1	no	—
697	#6103	—	2	1	no	—
698	#6103	—	2	1	no	—
699	C₄⋊Dic₁₃	—	2	1	no	—
700	C₄⋊Dic₁₃	—	2	1	no	—
701	C₄⋊Dic₁₃	—	2	1	no	—
702	C₄⋊Dic₁₃	—	2	1	no	—
703	C₄⋊Dic₁₃	—	2	1	no	—
704	C₄⋊Dic₁₃	—	2	1	no	—
705	C₄⋊Dic₁₃	—	2	1	no	—
706	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
707	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
708	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
709	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	—	2	1	no	—
717	#6101	—	2	1	no	—
718	#6101	—	2	1	no	—
719	#6101	—	2	1	no	—
720	#6101	—	2	1	no	—
721	#6101	—	2	1	no	—
722	#6101	—	2	1	no	—
723	#6101	—	2	1	no	—
724	C₄×Dic₁₃	—	2	1	no	—
725	C₄×Dic₁₃	—	2	1	no	—
726	C₄×Dic₁₃	—	2	1	no	—
727	C₄×Dic₁₃	—	2	1	no	—
728	C₄×Dic₁₃	—	2	1	no	—
729	#6099	—	4	1	no	—
730	C₂×#1055	—	4	1	no	—
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	C₂×#1055	C₂⁴	1	1	yes	characteristic
733	C₂×#1055	C₂⁴	1	1	yes	characteristic
734	C₂×#1055	C₂⁴	1	1	yes	characteristic
735	Dic₅₂	—	4	1	no	—
736	Dic₅₂	—	4	1	no	—
737	#6095	—	4	1	no	—
738	#6095	—	4	1	no	—
739	#6094	—	2	2	no	—
740	#6094	—	2	2	no	—
741	#6094	—	4	1	no	—
742	#6094	—	4	1	no	—
743	C₈×D₁₃	—	2	2	no	—
744	C₈×D₁₃	—	2	2	no	—
745	C₈×D₁₃	—	4	1	no	—
746	C₈×D₁₃	—	4	1	no	—
747	#3488	—	13	1	no	—
748	C₂×#536	—	13	1	no	—
749	#3201	—	13	1	no	—
750	#3201	—	13	1	no	—
751	#3201	—	13	1	no	—
752	#3201	—	13	1	no	—
753	#3200	—	13	1	no	—
754	#3200	—	13	1	no	—
755	#3200	—	13	1	no	—
756	#3200	D₁₃	1	1	yes	characteristic, complemented
757	#3196	—	13	1	no	—
758	#3196	—	13	1	no	—
759	#3193	—	13	1	no	—
760	#3193	—	13	1	no	—
761	#3190	—	13	1	no	—
762	#3190	—	13	1	no	—
763	#3187	—	13	1	no	—
764	#3187	—	13	1	no	—
765	#3097	—	13	1	no	—
766	#3097	—	13	1	no	—
767	#3094	—	13	1	no	—
768	#3091	—	13	1	no	—
769	#3063	—	13	1	no	—
770	#3063	—	13	1	no	—
771	#3057	—	13	1	no	—
772	#3057	—	13	1	no	—
773	#3009	—	13	1	no	—
774	#3009	—	13	1	no	—
775	#3004	—	13	1	no	—
776	C₂×#448	—	13	1	no	—
777	#2880	—	13	1	no	—
778	C₂³×C₁₃	—	2	1	no	—
779	C₂³×C₁₃	—	2	1	no	—
780	C₂³×C₁₃	—	4	2	no	—
781	C₂³×C₁₃	—	8	1	no	—
782	C₂³×C₁₃	—	8	1	no	—
783	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
786	C₂²×D₁₃	—	2	2	no	—
787	C₂²×D₁₃	—	2	2	no	—
788	C₂²×D₁₃	—	2	2	no	—
789	C₂²×D₁₃	—	2	2	no	—
790	C₂²×D₁₃	—	2	1	no	—
791	C₂²×D₁₃	—	4	1	no	—
792	C₂²×D₁₃	—	4	1	no	—
793	C₂²×D₁₃	—	4	1	no	—
794	C₂²×D₁₃	—	4	1	no	—
795	C₂²×D₁₃	—	4	1	no	—
796	C₂²×D₁₃	—	4	2	no	—
797	C₂²×D₁₃	—	4	2	no	—
798	C₂²×D₁₃	—	8	1	no	—
799	C₂²×D₁₃	—	8	1	no	—
800	C₂²×D₁₃	—	8	1	no	—
801	C₂²×D₁₃	—	8	1	no	—
802	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
803	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
804	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
805	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
806	Q₈×C₁₃	—	2	1	no	—
807	Q₈×C₁₃	—	2	1	no	—
808	Q₈×C₁₃	—	2	1	no	—
809	Q₈×C₁₃	—	2	1	no	—
810	Q₈×C₁₃	—	4	1	no	—
811	Q₈×C₁₃	—	4	2	no	—
812	D₄×C₁₃	—	2	1	no	—
813	D₄×C₁₃	—	2	1	no	—
814	D₄×C₁₃	—	2	1	no	—
815	D₄×C₁₃	—	2	1	no	—
816	D₄×C₁₃	—	4	1	no	—
817	D₄×C₁₃	—	4	1	no	—
818	D₄×C₁₃	—	4	1	no	—
819	D₄×C₁₃	—	4	2	no	—
820	D₄×C₁₃	—	8	1	no	—
821	D₄×C₁₃	—	8	1	no	—
822	D₄×C₁₃	—	8	1	no	—
823	D₄×C₁₃	—	8	1	no	—
824	C₂×C₄×C₁₃	—	2	1	no	—
825	C₂×C₄×C₁₃	—	2	1	no	—
826	C₂×C₄×C₁₃	—	2	1	no	—
827	C₂×C₄×C₁₃	—	2	1	no	—
828	C₂×C₄×C₁₃	—	2	1	no	—
829	C₂×C₄×C₁₃	—	2	1	no	—
830	C₂×C₄×C₁₃	—	2	1	no	—
831	C₂×C₄×C₁₃	—	2	1	no	—
832	C₂×C₄×C₁₃	—	2	1	no	—
833	C₂×C₄×C₁₃	—	2	1	no	—
834	C₂×C₄×C₁₃	—	2	1	no	—
835	C₂×C₄×C₁₃	—	2	1	no	—
836	C₂×C₄×C₁₃	—	4	2	no	—
837	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
838	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
839	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
840	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
841	C₂²⋊D₁₃	—	2	2	no	—
842	C₂²⋊D₁₃	—	2	2	no	—
843	C₂²⋊D₁₃	—	2	2	no	—
844	C₂²⋊D₁₃	—	2	2	no	—
845	C₂²⋊D₁₃	—	4	1	no	—
846	C₂²⋊D₁₃	—	4	1	no	—
847	C₂²⋊D₁₃	—	4	2	no	—
848	C₂²⋊D₁₃	—	4	2	no	—
849	C₂²⋊D₁₃	—	4	2	no	—
850	C₂²⋊D₁₃	—	4	2	no	—
851	C₂²⋊D₁₃	—	4	2	no	—
852	C₂²⋊D₁₃	—	4	2	no	—
853	C₂²⋊D₁₃	—	4	2	no	—
854	C₂²⋊D₁₃	—	8	1	no	—
855	C₂²⋊D₁₃	—	8	1	no	—
856	C₂²⋊D₁₃	—	8	1	no	—
857	C₂²⋊D₁₃	—	8	1	no	—
858	C₂×Dic₁₃	—	2	2	no	—
859	C₂×Dic₁₃	—	2	1	no	—
860	C₂×Dic₁₃	—	2	1	no	—
861	C₂×Dic₁₃	—	2	1	no	—
862	C₂×Dic₁₃	—	2	1	no	—
863	C₂×Dic₁₃	—	2	1	no	—
864	C₂×Dic₁₃	—	2	1	no	—
865	C₂×Dic₁₃	—	2	1	no	—
866	C₂×Dic₁₃	—	4	1	no	—
867	C₂×Dic₁₃	—	4	1	no	—
868	C₂×Dic₁₃	—	4	2	no	—
869	C₂×Dic₁₃	—	4	2	no	—
870	C₂×Dic₁₃	—	4	2	no	—
871	C₂×Dic₁₃	—	8	1	no	—
872	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
873	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
874	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
875	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
876	D₅₂	—	2	2	no	—
877	D₅₂	—	2	2	no	—
878	D₅₂	—	2	1	no	—
879	D₅₂	—	2	1	no	—
880	D₅₂	—	4	1	no	—
881	D₅₂	—	4	2	no	—
882	D₅₂	—	8	1	no	—
883	C₄×D₁₃	—	2	2	no	—
884	C₄×D₁₃	—	2	1	no	—
885	C₄×D₁₃	—	2	1	no	—
886	C₄×D₁₃	—	2	1	no	—
887	C₄×D₁₃	—	2	1	no	—
888	C₄×D₁₃	—	2	1	no	—
889	C₄×D₁₃	—	2	1	no	—
890	C₄×D₁₃	—	2	2	no	—
891	C₄×D₁₃	—	4	1	no	—
892	C₄×D₁₃	—	4	1	no	—
893	C₄×D₁₃	—	4	1	no	—
894	C₄×D₁₃	—	4	1	no	—
895	C₄×D₁₃	—	4	2	no	—
896	C₄×D₁₃	—	4	2	no	—
897	C₄×D₁₃	—	4	2	no	—
898	C₄×D₁₃	—	4	2	no	—
899	C₄×D₁₃	—	4	2	no	—
900	C₄×D₁₃	—	4	2	no	—
901	C₄×D₁₃	—	4	2	no	—
902	C₄×D₁₃	—	8	1	no	—
903	C₄×D₁₃	—	8	1	no	—
904	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
905	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
906	Dic₂₆	—	2	2	no	—
907	Dic₂₆	—	2	2	no	—
908	Dic₂₆	—	2	1	no	—
909	Dic₂₆	—	2	1	no	—
910	Dic₂₆	—	2	1	no	—
911	Dic₂₆	—	2	1	no	—
912	Dic₂₆	—	2	1	no	—
913	Dic₂₆	—	2	1	no	—
914	Dic₂₆	—	4	1	no	—
915	Dic₂₆	—	4	2	no	—
916	Dic₂₆	—	4	2	no	—
917	Dic₂₆	—	4	2	no	—
918	Dic₂₆	—	4	2	no	—
919	Dic₂₆	—	4	2	no	—
920	C₈×C₁₃	—	2	1	no	—
921	C₈×C₁₃	—	2	1	no	—
922	C₈×C₁₃	—	2	1	no	—
923	C₈×C₁₃	—	2	1	no	—
924	#1055	—	2	1	no	—
925	#1055	—	2	1	no	—
926	#1055	—	2	1	no	—
927	#1055	—	2	1	no	—
928	C₂×H(5,𝔽₂)	—	13	1	no	—
929	C₂²×#41	—	13	1	no	—
930	C₂³×Q₈	—	13	1	no	—
931	C₂×#137	—	13	1	no	—
932	C₂×#137	—	13	1	no	—
933	C₂²×SD₁₆	—	13	1	no	—
934	C₂²×SD₁₆	—	13	1	no	—
935	C₂×#131	—	13	1	no	—
936	C₂×#131	—	13	1	no	—
937	#550	—	26	1	no	—
938	#548	—	26	1	no	—
939	#546	—	26	1	no	—
940	#546	—	26	1	no	—
941	#546	—	26	1	no	—
942	D₄²	—	26	1	no	—
943	D₄²	—	26	1	no	—
944	D₄²	—	26	1	no	—
945	#537	—	13	1	no	—
946	#537	—	13	1	no	—
947	#537	—	13	1	no	—
948	#536	—	13	1	no	—
949	#536	—	13	1	no	—
950	#536	—	13	1	no	—
951	#536	—	13	1	no	—
952	#536	—	13	1	no	—
953	#536	—	13	1	no	—
954	#536	—	13	1	no	—
955	#536	—	26	1	no	—
956	#536	—	26	1	no	—
957	#536	—	26	1	no	—
958	#536	—	26	1	no	—
959	#536	C₂×D₁₃	1	1	yes	characteristic, complemented
960	#535	—	13	1	no	—
961	#535	—	13	1	no	—
962	#535	C₂×D₁₃	1	1	yes	characteristic
963	C₂×C₄⋊Q₈	—	26	1	no	—
964	C₂×#124	—	26	1	no	—
965	#525	—	13	1	no	—
966	#525	—	13	1	no	—
967	#525	—	13	1	no	—
968	C₂×#123	—	26	1	no	—
969	C₂×#123	—	26	1	no	—
970	C₂×C₂²⋊Q₈	—	13	1	no	—
971	C₂×C₂²⋊Q₈	—	13	1	no	—
972	C₂×C₂²⋊Q₈	—	13	1	no	—
973	C₂×C₂²⋊Q₈	—	13	1	no	—
974	C₂×#121	—	13	1	no	—
975	C₂×#121	—	13	1	no	—
976	C₂×#121	—	13	1	no	—
977	#520	—	13	1	no	—
978	C₂×#117	—	13	1	no	—
979	#485	—	13	1	no	—
980	#485	—	13	1	no	—
981	#485	—	13	1	no	—
982	#485	—	13	1	no	—
983	#485	—	13	1	no	—
984	#485	—	13	1	no	—
985	#485	—	13	1	no	—
986	#485	—	13	1	no	—
987	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
988	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
989	#484	—	13	1	no	—
990	#484	—	13	1	no	—
991	#484	—	13	1	no	—
992	#484	—	13	1	no	—
993	#484	—	13	1	no	—
994	#483	—	13	1	no	—
995	#483	—	13	1	no	—
996	#483	—	13	1	no	—
997	#483	—	13	1	no	—
998	#483	—	13	1	no	—
999	#482	—	13	1	no	—
1000	#482	—	13	1	no	—
1001	#482	—	13	1	no	—
1002	#482	—	13	1	no	—
1003	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
1004	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
1005	#481	—	13	1	no	—
1006	#481	—	13	1	no	—
1007	#481	—	13	1	no	—
1008	#480	—	13	1	no	—
1009	#480	—	13	1	no	—
1010	#480	—	13	1	no	—
1011	#470	—	13	1	no	—
1012	#470	—	13	1	no	—
1013	#470	—	13	1	no	—
1014	#470	—	13	1	no	—
1015	#468	—	13	1	no	—
1016	#468	—	13	1	no	—
1017	#468	—	13	1	no	—
1018	#468	—	13	1	no	—
1019	#468	—	13	1	no	—
1020	#468	—	13	1	no	—
1021	#468	—	13	1	no	—
1022	#468	—	13	1	no	—
1023	#468	—	13	1	no	—
1024	#468	—	13	1	no	—
1025	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
1026	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
1027	#467	—	13	1	no	—
1028	#467	—	13	1	no	—
1029	#467	—	13	1	no	—
1030	#467	—	13	1	no	—
1031	#465	—	13	1	no	—
1032	#465	—	13	1	no	—
1033	#465	—	13	1	no	—
1034	#465	—	13	1	no	—
1035	#465	—	13	1	no	—
1036	#465	—	13	1	no	—
1037	#465	—	13	1	no	—
1038	#465	—	13	1	no	—
1039	#465	—	13	1	no	—
1040	#465	—	13	1	no	—
1041	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1042	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1043	#452	—	13	1	no	—
1044	#452	—	13	1	no	—
1045	#452	—	13	1	no	—
1046	#452	—	13	1	no	—
1047	#452	—	13	1	no	—
1048	#452	—	13	1	no	—
1049	#452	—	13	1	no	—
1050	#452	—	13	1	no	—
1051	#451	—	13	1	no	—
1052	#451	—	13	1	no	—
1053	#451	—	13	1	no	—
1054	#451	—	13	1	no	—
1055	#450	—	13	1	no	—
1056	#450	—	13	1	no	—
1057	#450	—	13	1	no	—
1058	#450	—	13	1	no	—
1059	#450	—	13	1	no	—
1060	#450	—	13	1	no	—
1061	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1062	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1063	#448	—	13	1	no	—
1064	#448	—	13	1	no	—
1065	#448	—	13	1	no	—
1066	#448	—	13	1	no	—
1067	#448	—	13	1	no	—
1068	#448	—	13	1	no	—
1069	#448	—	13	1	no	—
1070	#448	—	13	1	no	—
1071	#448	—	13	1	no	—
1072	#448	—	13	1	no	—
1073	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1074	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1075	#428	—	13	1	no	—
1076	#428	—	13	1	no	—
1077	#427	—	13	1	no	—
1078	#427	—	13	1	no	—
1079	#419	—	13	1	no	—
1080	#419	—	13	1	no	—
1081	#418	—	13	1	no	—
1082	#418	—	13	1	no	—
1083	#416	—	13	1	no	—
1084	#416	—	13	1	no	—
1085	C₂×#103	—	13	1	no	—
1086	C₂×#103	—	13	1	no	—
1087	#408	—	13	1	no	—
1088	#408	—	13	1	no	—
1089	#408	—	13	1	no	—
1090	#408	—	13	1	no	—
1091	#408	—	13	1	no	—
1092	#408	C₂×D₁₃	1	1	yes	characteristic, complemented
1093	#407	—	13	1	no	—
1094	#407	—	13	1	no	—
1095	#407	—	13	1	no	—
1096	C₂×C₂²⋊C₈	—	13	1	no	—
1097	C₂×C₂²⋊C₈	—	13	1	no	—
1098	C₂×C₂²⋊C₈	—	13	1	no	—
1099	C₂²×C₁₃	—	2	1	no	—
1100	C₂²×C₁₃	—	2	1	no	—
1101	C₂²×C₁₃	—	2	1	no	—
1102	C₂²×C₁₃	—	2	1	no	—
1103	C₂²×C₁₃	—	2	1	no	—
1104	C₂²×C₁₃	—	2	1	no	—
1105	C₂²×C₁₃	—	2	1	no	—
1106	C₂²×C₁₃	—	2	1	no	—
1107	C₂²×C₁₃	—	2	1	no	—
1108	C₂²×C₁₃	—	4	1	no	—
1109	C₂²×C₁₃	—	4	1	no	—
1110	C₂²×C₁₃	—	4	1	no	—
1111	C₂²×C₁₃	—	4	1	no	—
1112	C₂²×C₁₃	—	4	1	no	—
1113	C₂²×C₁₃	—	4	1	no	—
1114	C₂²×C₁₃	—	16	2	no	—
1115	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1116	C₂×D₁₃	—	2	1	no	—
1117	C₂×D₁₃	—	2	1	no	—
1118	C₂×D₁₃	—	2	1	no	—
1119	C₂×D₁₃	—	2	1	no	—
1120	C₂×D₁₃	—	2	1	no	—
1121	C₂×D₁₃	—	2	1	no	—
1122	C₂×D₁₃	—	2	1	no	—
1123	C₂×D₁₃	—	2	1	no	—
1124	C₂×D₁₃	—	2	1	no	—
1125	C₂×D₁₃	—	2	1	no	—
1126	C₂×D₁₃	—	4	4	no	—
1127	C₂×D₁₃	—	4	1	no	—
1128	C₂×D₁₃	—	4	1	no	—
1129	C₂×D₁₃	—	4	1	no	—
1130	C₂×D₁₃	—	8	2	no	—
1131	C₂×D₁₃	—	8	2	no	—
1132	C₂×D₁₃	—	16	2	no	—
1133	C₂×D₁₃	—	16	2	no	—
1134	C₂×D₁₃	#534	1	2	yes	—
1135	C₂×D₁₃	#577	1	2	yes	—
1136	C₄×C₁₃	—	2	1	no	—
1137	C₄×C₁₃	—	2	1	no	—
1138	C₄×C₁₃	—	2	1	no	—
1139	C₄×C₁₃	—	4	1	no	—
1140	C₄×C₁₃	—	4	1	no	—
1141	C₄×C₁₃	—	4	1	no	—
1142	C₄×C₁₃	—	4	1	no	—
1143	C₄×C₁₃	—	4	1	no	—
1144	C₄×C₁₃	—	4	1	no	—
1145	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1146	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1147	Dic₁₃	—	2	1	no	—
1148	Dic₁₃	—	2	1	no	—
1149	Dic₁₃	—	2	1	no	—
1150	Dic₁₃	—	4	1	no	—
1151	Dic₁₃	—	4	1	no	—
1152	Dic₁₃	—	4	1	no	—
1153	Dic₁₃	—	4	1	no	—
1154	Dic₁₃	—	4	1	no	—
1155	Dic₁₃	—	4	1	no	—
1156	Dic₁₃	—	4	1	no	—
1157	Dic₁₃	#534	1	2	yes	—
1158	H(5,𝔽₂)	—	52	2	no	—
1159	H(5,𝔽₂)	—	52	2	no	—
1160	C₂×#41	—	13	1	no	—
1161	C₂×#41	—	13	1	no	—
1162	C₂×#41	—	13	1	no	—
1163	C₂×#41	—	13	1	no	—
1164	C₂×#41	—	13	1	no	—
1165	C₂×#41	—	13	1	no	—
1166	C₂×#41	—	13	1	no	—
1167	C₂×#41	—	13	1	no	—
1168	C₂×#41	—	13	1	no	—
1169	C₂×#41	—	13	1	no	—
1170	C₂×#41	—	26	1	no	—
1171	C₂×#41	—	52	2	no	—
1172	C₂×#41	—	52	2	no	—
1173	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1174	C₂²×Q₈	—	13	1	no	—
1175	C₂²×Q₈	—	13	1	no	—
1176	C₂²×Q₈	—	13	1	no	—
1177	C₂²×Q₈	—	13	1	no	—
1178	C₂²×Q₈	—	13	1	no	—
1179	C₂²×Q₈	—	13	1	no	—
1180	C₂²×Q₈	—	26	1	no	—
1181	C₂²×Q₈	—	26	1	no	—
1182	C₂²×Q₈	—	26	1	no	—
1183	C₂²×Q₈	—	52	2	no	—
1184	C₂²×Q₈	—	52	2	no	—
1185	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1186	C₂²×D₄	—	13	1	no	—
1187	C₂²×D₄	—	13	1	no	—
1188	C₂²×D₄	—	13	1	no	—
1189	C₂²×D₄	—	13	1	no	—
1190	C₂²×D₄	—	13	1	no	—
1191	C₂²×D₄	—	26	1	no	—
1192	C₂²×D₄	—	26	1	no	—
1193	C₂²×D₄	—	26	1	no	—
1194	C₂²×D₄	—	26	1	no	—
1195	C₂²×D₄	—	26	1	no	—
1196	C₂²×D₄	—	26	1	no	—
1197	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1198	C₂³×C₄	—	13	1	no	—
1199	C₂³×C₄	—	13	1	no	—
1200	C₂³×C₄	—	13	1	no	—
1201	C₂³×C₄	—	26	1	no	—
1202	#137	—	52	2	no	—
1203	#137	—	52	2	no	—
1204	C₂×Q₁₆	—	13	1	no	—
1205	C₂×Q₁₆	—	13	1	no	—
1206	C₂×Q₁₆	—	13	1	no	—
1207	C₂×Q₁₆	—	13	1	no	—
1208	C₂×SD₁₆	—	13	1	no	—
1209	C₂×SD₁₆	—	13	1	no	—
1210	C₂×SD₁₆	—	13	1	no	—
1211	C₂×SD₁₆	—	13	1	no	—
1212	C₂×SD₁₆	—	13	1	no	—
1213	C₂×SD₁₆	—	13	1	no	—
1214	C₂×SD₁₆	—	13	1	no	—
1215	C₂×SD₁₆	—	13	1	no	—
1216	C₂×SD₁₆	—	52	2	no	—
1217	C₂×SD₁₆	—	52	2	no	—
1218	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1219	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1220	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1221	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1222	#131	—	52	2	no	—
1223	#131	—	52	2	no	—
1224	C₂×M₁₆	—	13	1	no	—
1225	C₂×M₁₆	—	13	1	no	—
1226	C₂×M₁₆	—	13	1	no	—
1227	C₂×M₁₆	—	13	1	no	—
1228	C₂×M₁₆	—	13	1	no	—
1229	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1230	C₂²×C₈	—	13	1	no	—
1231	C₂²×C₈	—	13	1	no	—
1232	C₂²×C₈	—	13	1	no	—
1233	C₂²×C₈	—	13	1	no	—
1234	C₂²×C₈	—	13	1	no	—
1235	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1236	C₄⋊Q₈	—	2	1	no	—
1237	C₄⋊Q₈	—	26	1	no	—
1238	C₄⋊Q₈	—	26	1	no	—
1239	C₄⋊Q₈	—	26	1	no	—
1240	C₄⋊Q₈	—	26	1	no	—
1241	C₄⋊Q₈	—	26	1	no	—
1242	C₄⋊Q₈	—	26	1	no	—
1243	C₄⋊Q₈	—	26	1	no	—
1244	#127	—	2	1	no	—
1245	#127	—	26	1	no	—
1246	#127	—	26	1	no	—
1247	#124	—	2	1	no	—
1248	#124	—	2	1	no	—
1249	#124	—	26	1	no	—
1250	#124	—	26	1	no	—
1251	#124	—	26	1	no	—
1252	#124	—	26	1	no	—
1253	#124	—	26	1	no	—
1254	#124	—	26	1	no	—
1255	#124	—	26	1	no	—
1256	#124	—	26	1	no	—
1257	#124	—	26	1	no	—
1258	#123	—	2	1	no	—
1259	#123	—	2	1	no	—
1260	#123	—	26	1	no	—
1261	#123	—	26	1	no	—
1262	#123	—	26	1	no	—
1263	#123	—	26	1	no	—
1264	#123	—	26	1	no	—
1265	#123	—	26	1	no	—
1266	#123	—	26	1	no	—
1267	#123	—	26	1	no	—
1268	#123	—	26	1	no	—
1269	#123	—	26	1	no	—
1270	#123	—	26	1	no	—
1271	#123	—	26	1	no	—
1272	#123	—	26	1	no	—
1273	#123	—	26	1	no	—
1274	#123	—	26	1	no	—
1275	#123	—	26	1	no	—
1276	#123	—	26	1	no	—
1277	C₂²⋊Q₈	—	13	1	no	—
1278	C₂²⋊Q₈	—	13	1	no	—
1279	C₂²⋊Q₈	—	13	1	no	—
1280	C₂²⋊Q₈	—	13	1	no	—
1281	C₂²⋊Q₈	—	13	1	no	—
1282	C₂²⋊Q₈	—	13	1	no	—
1283	C₂²⋊Q₈	—	13	1	no	—
1284	C₂²⋊Q₈	—	13	1	no	—
1285	C₂²⋊Q₈	—	13	1	no	—
1286	C₂²⋊Q₈	—	13	1	no	—
1287	C₂²⋊Q₈	—	13	1	no	—
1288	C₂²⋊Q₈	—	13	1	no	—
1289	C₂²⋊Q₈	—	13	1	no	—
1290	C₂²⋊Q₈	—	13	1	no	—
1291	C₂²⋊Q₈	—	13	1	no	—
1292	C₂²⋊Q₈	—	13	1	no	—
1293	C₂²⋊Q₈	—	26	1	no	—
1294	C₂²⋊Q₈	—	26	1	no	—
1295	C₂²⋊Q₈	—	26	1	no	—
1296	C₂²⋊Q₈	—	26	1	no	—
1297	C₂²⋊Q₈	—	26	1	no	—
1298	C₂²⋊Q₈	—	26	1	no	—
1299	C₂²⋊Q₈	—	26	1	no	—
1300	C₂²⋊Q₈	—	26	1	no	—
1301	C₂²⋊Q₈	—	26	1	no	—
1302	C₂²⋊Q₈	—	26	1	no	—
1303	C₂²⋊Q₈	—	26	1	no	—
1304	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1305	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1306	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1307	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1308	#121	—	13	1	no	—
1309	#121	—	13	1	no	—
1310	#121	—	13	1	no	—
1311	#121	—	13	1	no	—
1312	#121	—	13	1	no	—
1313	#121	—	13	1	no	—
1314	#121	—	13	1	no	—
1315	#121	—	13	1	no	—
1316	#121	—	26	1	no	—
1317	#121	—	26	1	no	—
1318	#121	—	26	1	no	—
1319	#121	—	26	1	no	—
1320	#121	—	26	1	no	—
1321	#121	—	26	1	no	—
1322	#121	—	26	1	no	—
1323	#121	—	26	1	no	—
1324	#121	—	26	1	no	—
1325	#121	—	26	1	no	—
1326	#121	—	26	1	no	—
1327	#121	—	26	1	no	—
1328	#121	—	26	1	no	—
1329	#121	—	26	1	no	—
1330	#121	—	26	1	no	—
1331	#121	C₂²×D₁₃	1	1	yes	characteristic
1332	#121	C₂²×D₁₃	1	1	yes	characteristic
1333	#121	C₂²×D₁₃	1	1	yes	characteristic
1334	#121	C₂²×D₁₃	1	1	yes	characteristic
1335	#120	—	2	1	no	—
1336	#120	—	2	1	no	—
1337	#120	—	26	1	no	—
1338	#120	—	26	1	no	—
1339	#120	—	26	1	no	—
1340	#120	—	26	1	no	—
1341	#120	—	26	1	no	—
1342	#120	—	26	1	no	—
1343	#120	—	26	1	no	—
1344	C₄×Q₈	—	26	1	no	—
1345	C₄×D₄	—	26	1	no	—
1346	C₄×D₄	—	26	1	no	—
1347	C₄×D₄	—	26	1	no	—
1348	C₄×D₄	—	26	1	no	—
1349	C₄×D₄	—	26	1	no	—
1350	C₄×D₄	—	26	1	no	—
1351	C₄×D₄	—	26	1	no	—
1352	C₄×D₄	—	26	1	no	—
1353	C₄×D₄	—	26	1	no	—
1354	#117	—	13	1	no	—
1355	#117	—	13	1	no	—
1356	#117	—	13	1	no	—
1357	#117	—	13	1	no	—
1358	#117	—	13	1	no	—
1359	#117	—	26	1	no	—
1360	#117	—	26	1	no	—
1361	#117	C₂²×D₁₃	1	1	yes	characteristic
1362	#117	C₂²×D₁₃	1	1	yes	characteristic
1363	C₂×C₄⋊C₄	—	13	1	no	—
1364	C₂×C₄⋊C₄	—	13	1	no	—
1365	C₂×C₄⋊C₄	—	13	1	no	—
1366	C₂×C₄⋊C₄	—	13	1	no	—
1367	C₂×C₄⋊C₄	—	13	1	no	—
1368	C₂×C₄⋊C₄	—	26	1	no	—
1369	C₂×C₄⋊C₄	—	26	1	no	—
1370	C₂×C₄⋊C₄	—	26	1	no	—
1371	C₂×C₄⋊C₄	—	26	1	no	—
1372	C₂×C₂²⋊C₄	—	26	1	no	—
1373	C₂×C₂²⋊C₄	—	26	1	no	—
1374	C₂×C₂²⋊C₄	—	26	1	no	—
1375	C₂×C₂²⋊C₄	—	26	1	no	—
1376	C₂×C₂²⋊C₄	—	26	1	no	—
1377	C₂×C₂²⋊C₄	—	26	1	no	—
1378	C₂×C₂²⋊C₄	—	26	1	no	—
1379	C₂×C₂²⋊C₄	—	26	1	no	—
1380	C₂×C₄²	—	26	1	no	—
1381	#107	—	13	1	no	—
1382	#107	—	13	1	no	—
1383	#107	—	13	1	no	—
1384	#107	—	13	1	no	—
1385	#107	—	13	1	no	—
1386	#107	—	13	1	no	—
1387	#107	C₂²×D₁₃	1	1	yes	characteristic
1388	#107	C₂²×D₁₃	1	1	yes	characteristic
1389	#106	—	13	1	no	—
1390	#106	—	13	1	no	—
1391	#106	—	13	1	no	—
1392	#106	—	13	1	no	—
1393	#106	—	13	1	no	—
1394	#106	—	13	1	no	—
1395	#106	C₂²×D₁₃	1	1	yes	characteristic
1396	#106	C₂²×D₁₃	1	1	yes	characteristic
1397	#103	—	13	1	no	—
1398	#103	—	13	1	no	—
1399	#103	—	13	1	no	—
1400	#103	—	13	1	no	—
1401	#103	—	13	1	no	—
1402	#103	—	13	1	no	—
1403	#103	—	13	1	no	—
1404	#103	—	13	1	no	—
1405	#103	—	13	1	no	—
1406	#103	—	13	1	no	—
1407	#103	—	13	1	no	—
1408	#103	—	13	1	no	—
1409	#103	—	13	1	no	—
1410	#103	—	13	1	no	—
1411	#103	—	13	1	no	—
1412	#103	—	13	1	no	—
1413	#103	C₂²×D₁₃	1	1	yes	characteristic
1414	#103	C₂²×D₁₃	1	1	yes	characteristic
1415	#103	C₂²×D₁₃	1	1	yes	characteristic
1416	#103	C₂²×D₁₃	1	1	yes	characteristic
1417	#102	—	13	1	no	—
1418	#102	—	13	1	no	—
1419	#102	—	13	1	no	—
1420	#102	—	13	1	no	—
1421	#102	—	13	1	no	—
1422	#102	—	13	1	no	—
1423	#102	—	13	1	no	—
1424	#102	—	13	1	no	—
1425	#102	C₂²×D₁₃	1	1	yes	characteristic
1426	#102	C₂²×D₁₃	1	1	yes	characteristic
1427	#102	C₂²×D₁₃	1	1	yes	characteristic
1428	#102	C₂²×D₁₃	1	1	yes	characteristic
1429	C₂²⋊C₈	—	13	1	no	—
1430	C₂²⋊C₈	—	13	1	no	—
1431	C₂²⋊C₈	—	13	1	no	—
1432	C₂²⋊C₈	—	13	1	no	—
1433	C₂²⋊C₈	—	13	1	no	—
1434	C₂²⋊C₈	—	13	1	no	—
1435	C₂²⋊C₈	—	13	1	no	—
1436	C₂²⋊C₈	—	13	1	no	—
1437	C₂²⋊C₈	—	13	1	no	—
1438	C₂²⋊C₈	—	13	1	no	—
1439	C₂²⋊C₈	—	13	1	no	—
1440	C₂²⋊C₈	—	13	1	no	—
1441	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1442	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1443	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1444	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1445	C₂×C₁₃	—	4	1	no	—
1446	C₂×C₁₃	—	4	1	no	—
1447	C₂×C₁₃	—	4	1	no	—
1448	C₂×C₁₃	—	8	1	no	—
1449	C₂×C₁₃	—	8	1	no	—
1450	C₂×C₁₃	C₂×#534	1	1	yes	characteristic
1451	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1452	C₂×C₁₃	#3586	1	1	yes	characteristic
1453	D₁₃	—	2	2	no	—
1454	D₁₃	—	2	2	no	—
1455	D₁₃	—	4	1	no	—
1456	D₁₃	—	4	1	no	—
1457	D₁₃	—	8	1	no	—
1458	C₂⁴	—	2	1	no	—
1459	C₂⁴	—	13	1	no	—
1460	C₂⁴	—	13	1	no	—
1461	C₂⁴	—	13	1	no	—
1462	C₂⁴	—	26	1	no	—
1463	C₂⁴	—	26	1	no	—
1464	#41	—	4	1	no	—
1465	#41	—	4	1	no	—
1466	#41	—	26	2	no	—
1467	#41	—	26	2	no	—
1468	#41	—	26	2	no	—
1469	#41	—	26	2	no	—
1470	#41	—	26	2	no	—
1471	#41	—	26	2	no	—
1472	#41	—	52	1	no	—
1473	#41	—	52	1	no	—
1474	#41	—	52	1	no	—
1475	#41	—	52	1	no	—
1476	#41	—	52	1	no	—
1477	#41	—	52	1	no	—
1478	#41	—	52	2	no	—
1479	#41	—	52	2	no	—
1480	#41	—	52	2	no	—
1481	#41	—	52	2	no	—
1482	#41	—	52	4	no	—
1483	C₂×Q₈	—	2	1	no	—
1484	C₂×Q₈	—	4	1	no	—
1485	C₂×Q₈	—	4	1	no	—
1486	C₂×Q₈	—	13	1	no	—
1487	C₂×Q₈	—	13	1	no	—
1488	C₂×Q₈	—	13	1	no	—
1489	C₂×Q₈	—	13	1	no	—
1490	C₂×Q₈	—	13	1	no	—
1491	C₂×Q₈	—	13	1	no	—
1492	C₂×Q₈	—	26	1	no	—
1493	C₂×Q₈	—	26	1	no	—
1494	C₂×Q₈	—	26	1	no	—
1495	C₂×Q₈	—	26	1	no	—
1496	C₂×Q₈	—	26	2	no	—
1497	C₂×Q₈	—	26	2	no	—
1498	C₂×Q₈	—	26	2	no	—
1499	C₂×Q₈	—	26	2	no	—
1500	C₂×Q₈	—	26	1	no	—
1501	C₂×Q₈	—	52	1	no	—
1502	C₂×Q₈	—	52	1	no	—
1503	C₂×Q₈	—	52	4	no	—
1504	C₂×Q₈	—	52	1	no	—
1505	C₂×Q₈	—	52	1	no	—
1506	C₂×Q₈	—	52	1	no	—
1507	C₂×Q₈	—	52	1	no	—
1508	C₂×Q₈	—	52	2	no	—
1509	C₂×Q₈	—	52	4	no	—
1510	C₂×Q₈	—	52	4	no	—
1511	C₂×Q₈	D₄×D₁₃	1	1	yes	characteristic
1512	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1513	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1514	C₂×D₄	—	2	1	no	—
1515	C₂×D₄	—	2	1	no	—
1516	C₂×D₄	—	2	1	no	—
1517	C₂×D₄	—	2	1	no	—
1518	C₂×D₄	—	2	1	no	—
1519	C₂×D₄	—	4	1	no	—
1520	C₂×D₄	—	4	1	no	—
1521	C₂×D₄	—	13	1	no	—
1522	C₂×D₄	—	13	1	no	—
1523	C₂×D₄	—	13	1	no	—
1524	C₂×D₄	—	13	1	no	—
1525	C₂×D₄	—	13	1	no	—
1526	C₂×D₄	—	13	1	no	—
1527	C₂×D₄	—	13	1	no	—
1528	C₂×D₄	—	13	1	no	—
1529	C₂×D₄	—	13	1	no	—
1530	C₂×D₄	—	13	1	no	—
1531	C₂×D₄	—	26	1	no	—
1532	C₂×D₄	—	26	1	no	—
1533	C₂×D₄	—	26	2	no	—
1534	C₂×D₄	—	26	2	no	—
1535	C₂×D₄	—	26	1	no	—
1536	C₂×D₄	—	26	1	no	—
1537	C₂×D₄	—	26	1	no	—
1538	C₂×D₄	—	26	1	no	—
1539	C₂×D₄	—	26	1	no	—
1540	C₂×D₄	—	26	1	no	—
1541	C₂×D₄	—	26	1	no	—
1542	C₂×D₄	—	26	1	no	—
1543	C₂×D₄	—	26	1	no	—
1544	C₂×D₄	—	26	1	no	—
1545	C₂×D₄	—	26	1	no	—
1546	C₂×D₄	—	52	1	no	—
1547	C₂×D₄	—	52	1	no	—
1548	C₂×D₄	—	52	2	no	—
1549	C₂×D₄	—	52	2	no	—
1550	C₂×D₄	—	52	2	no	—
1551	C₂×D₄	—	52	4	no	—
1552	C₂×D₄	—	52	4	no	—
1553	C₂×D₄	—	52	4	no	—
1554	C₂×D₄	—	104	2	no	—
1555	C₂×D₄	—	104	2	no	—
1556	C₂×D₄	—	104	2	no	—
1557	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1558	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1559	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1560	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1561	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1562	C₂²×C₄	—	2	1	no	—
1563	C₂²×C₄	—	13	1	no	—
1564	C₂²×C₄	—	13	1	no	—
1565	C₂²×C₄	—	13	1	no	—
1566	C₂²×C₄	—	13	1	no	—
1567	C₂²×C₄	—	13	1	no	—
1568	C₂²×C₄	—	13	1	no	—
1569	C₂²×C₄	—	13	1	no	—
1570	C₂²×C₄	—	13	1	no	—
1571	C₂²×C₄	—	13	1	no	—
1572	C₂²×C₄	—	13	1	no	—
1573	C₂²×C₄	—	13	1	no	—
1574	C₂²×C₄	—	13	1	no	—
1575	C₂²×C₄	—	13	1	no	—
1576	C₂²×C₄	—	26	2	no	—
1577	C₂²×C₄	—	26	2	no	—
1578	C₂²×C₄	—	26	1	no	—
1579	C₂²×C₄	—	26	1	no	—
1580	C₂²×C₄	—	26	1	no	—
1581	C₂²×C₄	—	26	1	no	—
1582	C₂²×C₄	—	26	1	no	—
1583	C₂²×C₄	—	26	1	no	—
1584	C₂²×C₄	—	26	1	no	—
1585	C₂²×C₄	—	26	1	no	—
1586	C₂²×C₄	—	26	1	no	—
1587	C₂²×C₄	—	26	1	no	—
1588	C₂²×C₄	—	26	1	no	—
1589	C₂²×C₄	—	26	1	no	—
1590	C₂²×C₄	—	26	1	no	—
1591	C₂²×C₄	—	52	1	no	—
1592	C₂²×C₄	—	52	1	no	—
1593	C₂²×C₄	—	52	1	no	—
1594	C₂²×C₄	—	52	1	no	—
1595	C₂²×C₄	—	52	4	no	—
1596	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1597	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1598	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1599	Q₁₆	—	52	1	no	—
1600	Q₁₆	—	52	1	no	—
1601	Q₁₆	—	52	1	no	—
1602	Q₁₆	—	52	1	no	—
1603	SD₁₆	—	4	1	no	—
1604	SD₁₆	—	4	1	no	—
1605	SD₁₆	—	4	1	no	—
1606	SD₁₆	—	4	1	no	—
1607	SD₁₆	—	52	1	no	—
1608	SD₁₆	—	52	1	no	—
1609	SD₁₆	—	52	1	no	—
1610	SD₁₆	—	52	1	no	—
1611	SD₁₆	—	52	1	no	—
1612	SD₁₆	—	52	1	no	—
1613	SD₁₆	—	52	1	no	—
1614	SD₁₆	—	52	1	no	—
1615	M₁₆	—	4	1	no	—
1616	M₁₆	—	26	2	no	—
1617	M₁₆	—	26	2	no	—
1618	M₁₆	—	52	1	no	—
1619	M₁₆	—	52	1	no	—
1620	M₁₆	—	52	1	no	—
1621	C₂×C₈	—	4	1	no	—
1622	C₂×C₈	—	13	1	no	—
1623	C₂×C₈	—	13	1	no	—
1624	C₂×C₈	—	13	1	no	—
1625	C₂×C₈	—	13	1	no	—
1626	C₂×C₈	—	26	2	no	—
1627	C₂×C₈	—	26	2	no	—
1628	C₂×C₈	—	52	1	no	—
1629	C₂×C₈	—	52	1	no	—
1630	C₂×C₈	—	52	1	no	—
1631	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1632	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1633	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1634	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1635	C₄⋊C₄	—	2	1	no	—
1636	C₄⋊C₄	—	2	1	no	—
1637	C₄⋊C₄	—	2	1	no	—
1638	C₄⋊C₄	—	2	1	no	—
1639	C₄⋊C₄	—	13	1	no	—
1640	C₄⋊C₄	—	13	1	no	—
1641	C₄⋊C₄	—	13	1	no	—
1642	C₄⋊C₄	—	13	1	no	—
1643	C₄⋊C₄	—	26	1	no	—
1644	C₄⋊C₄	—	26	1	no	—
1645	C₄⋊C₄	—	26	1	no	—
1646	C₄⋊C₄	—	26	1	no	—
1647	C₄⋊C₄	—	26	1	no	—
1648	C₄⋊C₄	—	26	1	no	—
1649	C₄⋊C₄	—	26	1	no	—
1650	C₄⋊C₄	—	26	1	no	—
1651	C₄⋊C₄	—	26	1	no	—
1652	C₄⋊C₄	—	26	1	no	—
1653	C₄⋊C₄	—	26	1	no	—
1654	C₄⋊C₄	—	26	1	no	—
1655	C₄⋊C₄	—	26	1	no	—
1656	C₄⋊C₄	—	26	1	no	—
1657	C₄⋊C₄	—	26	1	no	—
1658	C₄⋊C₄	—	26	1	no	—
1659	C₄⋊C₄	—	26	1	no	—
1660	C₄⋊C₄	—	26	1	no	—
1661	C₄⋊C₄	—	26	1	no	—
1662	C₄⋊C₄	—	26	1	no	—
1663	C₄⋊C₄	—	26	1	no	—
1664	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1665	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1666	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1667	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1668	C₂²⋊C₄	—	2	1	no	—
1669	C₂²⋊C₄	—	2	1	no	—
1670	C₂²⋊C₄	—	2	1	no	—
1671	C₂²⋊C₄	—	2	1	no	—
1672	C₂²⋊C₄	—	2	1	no	—
1673	C₂²⋊C₄	—	2	1	no	—
1674	C₂²⋊C₄	—	2	1	no	—
1675	C₂²⋊C₄	—	2	1	no	—
1676	C₂²⋊C₄	—	2	1	no	—
1677	C₂²⋊C₄	—	2	1	no	—
1678	C₂²⋊C₄	—	26	1	no	—
1679	C₂²⋊C₄	—	26	1	no	—
1680	C₂²⋊C₄	—	26	1	no	—
1681	C₂²⋊C₄	—	26	1	no	—
1682	C₂²⋊C₄	—	26	1	no	—
1683	C₂²⋊C₄	—	26	1	no	—
1684	C₂²⋊C₄	—	26	1	no	—
1685	C₂²⋊C₄	—	26	1	no	—
1686	C₂²⋊C₄	—	26	1	no	—
1687	C₂²⋊C₄	—	26	1	no	—
1688	C₂²⋊C₄	—	26	1	no	—
1689	C₂²⋊C₄	—	26	1	no	—
1690	C₂²⋊C₄	—	26	1	no	—
1691	C₂²⋊C₄	—	26	1	no	—
1692	C₂²⋊C₄	—	26	1	no	—
1693	C₂²⋊C₄	—	26	1	no	—
1694	C₂²⋊C₄	—	26	1	no	—
1695	C₂²⋊C₄	—	26	1	no	—
1696	C₂²⋊C₄	—	26	1	no	—
1697	C₂²⋊C₄	—	26	1	no	—
1698	C₂²⋊C₄	—	26	1	no	—
1699	C₂²⋊C₄	—	26	1	no	—
1700	C₂²⋊C₄	—	26	1	no	—
1701	C₂²⋊C₄	—	26	1	no	—
1702	C₂²⋊C₄	—	26	1	no	—
1703	C₂²⋊C₄	—	26	1	no	—
1704	C₂²⋊C₄	—	26	1	no	—
1705	C₂²⋊C₄	—	26	1	no	—
1706	C₂²⋊C₄	—	26	1	no	—
1707	C₄²	—	2	1	no	—
1708	C₄²	—	2	1	no	—
1709	C₄²	—	26	1	no	—
1710	C₄²	—	26	1	no	—
1711	C₄²	—	26	1	no	—
1712	C₄²	—	26	1	no	—
1713	C₄²	—	26	1	no	—
1714	C₁₃	#60758	1	1	yes	characteristic, complemented, Sylow
1715	C₂³	—	2	1	no	—
1716	C₂³	—	2	1	no	—
1717	C₂³	—	4	2	no	—
1718	C₂³	—	8	1	no	—
1719	C₂³	—	8	1	no	—
1720	C₂³	—	13	1	no	—
1721	C₂³	—	13	1	no	—
1722	C₂³	—	13	1	no	—
1723	C₂³	—	13	1	no	—
1724	C₂³	—	26	2	no	—
1725	C₂³	—	26	2	no	—
1726	C₂³	—	26	2	no	—
1727	C₂³	—	26	2	no	—
1728	C₂³	—	26	1	no	—
1729	C₂³	—	52	1	no	—
1730	C₂³	—	52	1	no	—
1731	C₂³	—	52	1	no	—
1732	C₂³	—	52	1	no	—
1733	C₂³	—	52	1	no	—
1734	C₂³	—	52	2	no	—
1735	C₂³	—	52	2	no	—
1736	C₂³	—	104	1	no	—
1737	C₂³	—	104	1	no	—
1738	C₂³	—	104	1	no	—
1739	C₂³	—	104	1	no	—
1740	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1741	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1742	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1743	Q₈	—	2	1	no	—
1744	Q₈	—	2	1	no	—
1745	Q₈	—	2	1	no	—
1746	Q₈	—	2	1	no	—
1747	Q₈	—	4	1	no	—
1748	Q₈	—	4	2	no	—
1749	Q₈	—	26	2	no	—
1750	Q₈	—	26	2	no	—
1751	Q₈	—	26	1	no	—
1752	Q₈	—	26	1	no	—
1753	Q₈	—	26	1	no	—
1754	Q₈	—	26	1	no	—
1755	Q₈	—	26	1	no	—
1756	Q₈	—	26	1	no	—
1757	Q₈	—	52	1	no	—
1758	Q₈	—	52	2	no	—
1759	Q₈	—	52	2	no	—
1760	Q₈	—	52	2	no	—
1761	Q₈	—	52	2	no	—
1762	Q₈	—	52	2	no	—
1763	D₄	—	2	1	no	—
1764	D₄	—	2	1	no	—
1765	D₄	—	2	1	no	—
1766	D₄	—	2	1	no	—
1767	D₄	—	4	1	no	—
1768	D₄	—	4	1	no	—
1769	D₄	—	4	1	no	—
1770	D₄	—	4	2	no	—
1771	D₄	—	8	1	no	—
1772	D₄	—	8	1	no	—
1773	D₄	—	8	1	no	—
1774	D₄	—	8	1	no	—
1775	D₄	—	26	2	no	—
1776	D₄	—	26	2	no	—
1777	D₄	—	26	2	no	—
1778	D₄	—	26	2	no	—
1779	D₄	—	26	2	no	—
1780	D₄	—	26	2	no	—
1781	D₄	—	26	1	no	—
1782	D₄	—	26	1	no	—
1783	D₄	—	52	1	no	—
1784	D₄	—	52	2	no	—
1785	D₄	—	52	2	no	—
1786	D₄	—	52	1	no	—
1787	D₄	—	52	1	no	—
1788	D₄	—	52	2	no	—
1789	D₄	—	52	2	no	—
1790	D₄	—	52	2	no	—
1791	D₄	—	52	2	no	—
1792	D₄	—	52	2	no	—
1793	D₄	—	52	2	no	—
1794	D₄	—	104	1	no	—
1795	D₄	—	104	1	no	—
1796	D₄	—	104	1	no	—
1797	D₄	—	104	1	no	—
1798	D₄	—	104	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	2	1	no	—
1805	C₂×C₄	—	2	1	no	—
1806	C₂×C₄	—	2	1	no	—
1807	C₂×C₄	—	2	1	no	—
1808	C₂×C₄	—	2	1	no	—
1809	C₂×C₄	—	2	1	no	—
1810	C₂×C₄	—	2	1	no	—
1811	C₂×C₄	—	4	2	no	—
1812	C₂×C₄	—	13	1	no	—
1813	C₂×C₄	—	13	2	no	—
1814	C₂×C₄	—	13	2	no	—
1815	C₂×C₄	—	13	1	no	—
1816	C₂×C₄	—	13	1	no	—
1817	C₂×C₄	—	13	1	no	—
1818	C₂×C₄	—	26	2	no	—
1819	C₂×C₄	—	26	2	no	—
1820	C₂×C₄	—	26	2	no	—
1821	C₂×C₄	—	26	1	no	—
1822	C₂×C₄	—	26	1	no	—
1823	C₂×C₄	—	26	1	no	—
1824	C₂×C₄	—	26	1	no	—
1825	C₂×C₄	—	26	1	no	—
1826	C₂×C₄	—	26	1	no	—
1827	C₂×C₄	—	26	1	no	—
1828	C₂×C₄	—	26	1	no	—
1829	C₂×C₄	—	26	1	no	—
1830	C₂×C₄	—	26	1	no	—
1831	C₂×C₄	—	26	1	no	—
1832	C₂×C₄	—	26	1	no	—
1833	C₂×C₄	—	26	1	no	—
1834	C₂×C₄	—	52	1	no	—
1835	C₂×C₄	—	52	1	no	—
1836	C₂×C₄	—	52	1	no	—
1837	C₂×C₄	—	52	1	no	—
1838	C₂×C₄	—	52	2	no	—
1839	C₂×C₄	—	52	2	no	—
1840	C₂×C₄	—	52	2	no	—
1841	C₂×C₄	—	52	2	no	—
1842	C₂×C₄	—	52	2	no	—
1843	C₂×C₄	—	52	2	no	—
1844	C₂×C₄	—	52	2	no	—
1845	C₂×C₄	—	52	2	no	—
1846	C₂×C₄	—	52	1	no	—
1847	C₂×C₄	—	52	1	no	—
1848	C₂×C₄	—	52	2	no	—
1849	C₂×C₄	—	52	2	no	—
1850	C₂×C₄	—	104	1	no	—
1851	C₂×C₄	—	104	1	no	—
1852	C₂×C₄	—	104	1	no	—
1853	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1854	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1855	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1856	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1857	C₈	—	2	1	no	—
1858	C₈	—	2	1	no	—
1859	C₈	—	2	1	no	—
1860	C₈	—	2	1	no	—
1861	C₈	—	26	1	no	—
1862	C₈	—	26	1	no	—
1863	C₈	—	26	1	no	—
1864	C₈	—	26	1	no	—
1865	C₂²	—	2	1	no	—
1866	C₂²	—	2	1	no	—
1867	C₂²	—	2	1	no	—
1868	C₂²	—	2	1	no	—
1869	C₂²	—	2	1	no	—
1870	C₂²	—	2	1	no	—
1871	C₂²	—	2	1	no	—
1872	C₂²	—	2	1	no	—
1873	C₂²	—	2	1	no	—
1874	C₂²	—	4	1	no	—
1875	C₂²	—	4	1	no	—
1876	C₂²	—	4	1	no	—
1877	C₂²	—	4	1	no	—
1878	C₂²	—	4	1	no	—
1879	C₂²	—	4	1	no	—
1880	C₂²	—	13	2	no	—
1881	C₂²	—	13	2	no	—
1882	C₂²	—	16	2	no	—
1883	C₂²	—	26	1	no	—
1884	C₂²	—	26	1	no	—
1885	C₂²	—	26	1	no	—
1886	C₂²	—	26	1	no	—
1887	C₂²	—	26	1	no	—
1888	C₂²	—	26	1	no	—
1889	C₂²	—	26	1	no	—
1890	C₂²	—	26	1	no	—
1891	C₂²	—	26	1	no	—
1892	C₂²	—	26	1	no	—
1893	C₂²	—	52	4	no	—
1894	C₂²	—	52	1	no	—
1895	C₂²	—	52	1	no	—
1896	C₂²	—	52	1	no	—
1897	C₂²	—	104	2	no	—
1898	C₂²	—	104	2	no	—
1899	C₂²	—	208	2	no	—
1900	C₂²	—	208	2	no	—
1901	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1902	C₄	—	2	1	no	—
1903	C₄	—	2	1	no	—
1904	C₄	—	2	1	no	—
1905	C₄	—	4	1	no	—
1906	C₄	—	4	1	no	—
1907	C₄	—	4	1	no	—
1908	C₄	—	4	1	no	—
1909	C₄	—	4	1	no	—
1910	C₄	—	4	1	no	—
1911	C₄	—	13	2	no	—
1912	C₄	—	26	1	no	—
1913	C₄	—	26	1	no	—
1914	C₄	—	26	1	no	—
1915	C₄	—	52	1	no	—
1916	C₄	—	52	1	no	—
1917	C₄	—	52	1	no	—
1918	C₄	—	52	1	no	—
1919	C₄	—	52	1	no	—
1920	C₄	—	52	1	no	—
1921	C₄	—	52	1	no	—
1922	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1923	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1924	C₂	—	4	1	no	—
1925	C₂	—	4	1	no	—
1926	C₂	—	4	1	no	—
1927	C₂	—	8	1	no	—
1928	C₂	—	8	1	no	—
1929	C₂	—	26	2	no	—
1930	C₂	—	26	2	no	—
1931	C₂	—	52	1	no	—
1932	C₂	—	52	1	no	—
1933	C₂	—	104	1	no	—
1934	C₂	D₁₃×#534	1	1	yes	characteristic
1935	C₂	D₁₃×#577	1	1	yes	characteristic
1936	C₂	#13129618	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×#3200	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128503	C₂
hypercenter	#3200	D₁₃
hypocenter	C₁₃	#60758
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×#41 ◁ #3200

Complements

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

N	H ≅ G/N	type
2. D₁₃×#536	C₂	semidirect
3. #13125720	C₂	semidirect
4. #13125718	C₂	semidirect
5. #13125716	C₂	semidirect
6. #13125714	C₂	semidirect
7. #13125710	C₂	semidirect
8. #13125708	C₂	semidirect
9. #13125706	C₂	semidirect
10. #13125670	C₂	semidirect
11. #13125661	C₂	semidirect
12. #13125639	C₂	semidirect
13. #13125637	C₂	semidirect
14. #13125621	C₂	semidirect
15. #13125612	C₂	semidirect
16. #13125590	C₂	semidirect
17. #13125588	C₂	semidirect
18. #13124802	C₂	semidirect
19. #13124800	C₂	semidirect
20. #13124775	C₂	semidirect
21. #13124748	C₂	semidirect
22. #13124522	C₂	semidirect
23. #13124520	C₂	semidirect
24. #13124473	C₂	semidirect
25. #13124470	C₂	semidirect
26. #13124108	C₂	semidirect
27. #13124108	C₂	semidirect
28. #13124067	C₂	semidirect
29. D₁₃×#448	C₂	semidirect
30. #13123284	C₂	semidirect
31. C₁₃×#3200	C₂	semidirect
33. C₂²×Q₈×D₁₃	C₂²	semidirect
35. C₁₃×#536	C₂²	semidirect
38. #11719530	C₂²	semidirect
39. #11719521	C₂²	semidirect
41. C₂×#88169	C₂²	semidirect
42. C₂×#88169	C₂²	semidirect
43. C₂×SD₁₆×D₁₃	C₂²	semidirect
44. C₂×SD₁₆×D₁₃	C₂²	semidirect
45. C₂×#88161	C₂²	semidirect
46. C₂×#88155	C₂²	semidirect
61. #11719333	C₂²	semidirect
62. #11719333	C₂²	semidirect
63. D₁₃×C₂²⋊Q₈	C₂²	semidirect
64. D₁₃×C₂²⋊Q₈	C₂²	semidirect
65. D₁₃×C₂²⋊Q₈	C₂²	semidirect
66. D₁₃×C₂²⋊Q₈	C₂²	semidirect
79. #11719231	C₂²	semidirect
82. D₁₃×#117	C₂²	semidirect
83. C₁₃×#485	C₂²	semidirect
84. C₁₃×#485	C₂²	semidirect
85. C₁₃×#482	C₂²	semidirect
86. C₁₃×#482	C₂²	semidirect
87. C₁₃×#468	C₂²	semidirect
88. C₁₃×#468	C₂²	semidirect
89. C₁₃×#465	C₂²	semidirect
90. C₁₃×#465	C₂²	semidirect
91. C₁₃×#450	C₂²	semidirect
92. C₁₃×#450	C₂²	semidirect
93. C₁₃×#448	C₂²	semidirect
94. C₁₃×#448	C₂²	semidirect
95. C₁₃×#408	C₂²	semidirect
96. #11718895	C₂²	semidirect
97. #11718889	C₂²	semidirect
98. #11718888	C₂²	semidirect
99. #11718879	C₂²	semidirect
100. #11718879	C₂²	semidirect
101. #11718835	C₂²	semidirect
102. #11718835	C₂²	semidirect
103. #11718834	C₂²	semidirect
104. #11718834	C₂²	semidirect
105. #11718832	C₂²	semidirect
106. #11718832	C₂²	semidirect
107. #11718831	C₂²	semidirect
108. #11718831	C₂²	semidirect
109. #11718831	C₂²	semidirect
110. #11718831	C₂²	semidirect
111. #11718830	C₂²	semidirect
112. #11718830	C₂²	semidirect
113. #11718798	C₂²	semidirect
114. #11718795	C₂²	semidirect
115. #11718787	C₂²	semidirect
116. #11718777	C₂²	semidirect
117. #11718775	C₂²	semidirect
118. C₂×#88060	C₂²	semidirect
119. #11718713	C₂²	semidirect
120. #11718712	C₂²	semidirect
121. #11718710	C₂²	semidirect
122. #11718709	C₂²	semidirect
123. #11718708	C₂²	semidirect
124. #11718708	C₂²	semidirect
125. #11718705	C₂²	semidirect
126. #11718704	C₂²	semidirect
127. #11718703	C₂²	semidirect
128. #11718703	C₂²	semidirect
129. #11718702	C₂²	semidirect
130. #11718702	C₂²	semidirect
131. #11718701	C₂²	semidirect
132. #11718701	C₂²	semidirect
133. #11718696	C₂²	semidirect
134. #11718696	C₂²	semidirect
135. #11718664	C₂²	semidirect
136. #11718657	C₂²	semidirect
137. #11718657	C₂²	semidirect
138. #11718657	C₂²	semidirect
139. #11718549	C₂²	semidirect
140. #11718548	C₂²	semidirect
141. #11718547	C₂²	semidirect
142. #11718545	C₂²	semidirect
143. #11718545	C₂²	semidirect
144. #11718543	C₂²	semidirect
145. #11718542	C₂²	semidirect
146. #11718541	C₂²	semidirect
147. #11718529	C₂²	semidirect
148. #11718528	C₂²	semidirect
149. #11718525	C₂²	semidirect
150. #11718524	C₂²	semidirect
151. #11718523	C₂²	semidirect
152. #11718523	C₂²	semidirect
153. #11718522	C₂²	semidirect
154. #11718521	C₂²	semidirect
155. #11718477	C₂²	semidirect
156. #11718476	C₂²	semidirect
157. #11718475	C₂²	semidirect
158. #11718474	C₂²	semidirect
159. #11718473	C₂²	semidirect
160. #11718470	C₂²	semidirect
161. #11718469	C₂²	semidirect
162. #11718469	C₂²	semidirect
163. #11718468	C₂²	semidirect
164. #11718467	C₂²	semidirect
165. #11718467	C₂²	semidirect
166. #11718466	C₂²	semidirect
167. #11718463	C₂²	semidirect
168. #11718463	C₂²	semidirect
169. D₁₃×#103	C₂²	semidirect
170. D₁₃×#103	C₂²	semidirect
171. #11718444	C₂²	semidirect
172. #11718444	C₂²	semidirect
173. #11718441	C₂²	semidirect
174. #11718441	C₂²	semidirect
175. #11718439	C₂²	semidirect
176. #11718439	C₂²	semidirect
177. #11718438	C₂²	semidirect
178. #11718438	C₂²	semidirect
179. #11718437	C₂²	semidirect
180. #11718437	C₂²	semidirect
181. #11718435	C₂²	semidirect
182. #11718435	C₂²	semidirect
183. #11718433	C₂²	semidirect
184. #11718433	C₂²	semidirect
185. #11718431	C₂²	semidirect
186. #11718431	C₂²	semidirect
187. #11718400	C₂²	semidirect
188. #11718399	C₂²	semidirect
189. #11718398	C₂²	semidirect
190. #11718394	C₂²	semidirect
191. #11718394	C₂²	semidirect
194. #11718388	C₂²	semidirect
195. #11718388	C₂²	semidirect
196. #11718387	C₂²	semidirect
197. #11718387	C₂²	semidirect
198. D₁₃×C₂²⋊C₈	C₂²	semidirect
199. D₁₃×C₂²⋊C₈	C₂²	semidirect
200. #11718384	C₂²	semidirect
201. #11718383	C₂²	semidirect
202. #11718382	C₂²	semidirect
756. #3200	D₁₃	semidirect
959. #536	C₂×D₁₃	semidirect
987. #485	C₂×D₁₃	semidirect
988. #485	C₂×D₁₃	semidirect
1003. #482	C₂×D₁₃	semidirect
1004. #482	C₂×D₁₃	semidirect
1025. #468	C₂×D₁₃	semidirect
1026. #468	C₂×D₁₃	semidirect
1041. #465	C₂×D₁₃	semidirect
1042. #465	C₂×D₁₃	semidirect
1061. #450	C₂×D₁₃	semidirect
1062. #450	C₂×D₁₃	semidirect
1073. #448	C₂×D₁₃	semidirect
1074. #448	C₂×D₁₃	semidirect
1092. #408	C₂×D₁₃	semidirect
1714. C₁₃	#60758	semidirect

Maximal subgroups

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

subgroup	index
#13128503	2
D₁₃×#536	2
#13125720	2
#13125718	2
#13125716	2
#13125714	2
#13125710	2
#13125708	2
#13125706	2
#13125670	2
#13125661	2
#13125639	2
#13125637	2
#13125621	2
#13125612	2
#13125590	2
#13125588	2
#13124802	2
#13124800	2
#13124775	2
#13124748	2
#13124522	2
#13124520	2
#13124473	2
#13124470	2
#13124108	2
#13124067	2
D₁₃×#448	2
#13123284	2
C₁₃×#3200	2
#60758	13