Subgroups — #16748670

Order 3328.

2108 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129150	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128493	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127165	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127108	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127022	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126968	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126846	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126834	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126787	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126733	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126590	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126466	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126454	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126425	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126372	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126371	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126331	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125923	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125883	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125699	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125691	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125677	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125602	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125124	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125064	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124152	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124118	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124085	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124050	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123878	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3282	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic, complemented
33	C₂×#88254	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
38	#11719539	C₂²	1	1	yes	characteristic, complemented
39	#11719539	C₂²	1	1	yes	characteristic, complemented
40	#11719533	C₂²	1	1	yes	characteristic
41	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
42	#11719522	C₂²	1	1	yes	characteristic
43	#11719510	C₂²	1	1	yes	characteristic
44	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88186	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88173	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88168	C₂²	1	1	yes	characteristic
49	C₂×#88165	C₂²	1	1	yes	characteristic
50	#11719387	C₂²	1	1	yes	characteristic
51	#11719382	—	2	1	no	—
52	#11719382	C₂²	1	1	yes	characteristic, complemented
53	#11719381	C₂²	1	1	yes	characteristic, complemented
54	#11719379	—	2	1	no	—
55	#11719379	C₂²	1	1	yes	characteristic, complemented
56	#11719368	—	2	1	no	—
57	#11719364	—	2	1	no	—
58	#11719344	C₂²	1	1	yes	characteristic, complemented
59	#11719338	—	2	1	no	—
60	#11719338	C₂²	1	1	yes	characteristic, complemented
61	#11719334	C₂²	1	1	yes	characteristic
62	#11719332	—	2	1	no	—
63	#11719332	C₂²	1	1	yes	characteristic, complemented
64	#11719326	—	2	1	no	—
65	#11719319	C₂²	1	1	yes	characteristic, complemented
66	#11719312	—	2	1	no	—
67	#11719312	—	2	1	no	—
68	#11719312	C₂²	1	1	yes	characteristic, complemented
69	D₁₃×#121	C₂²	1	1	yes	characteristic
70	#11719304	—	2	1	no	—
71	#11719304	C₂²	1	1	yes	characteristic
72	#11719300	—	2	1	no	—
73	#11719294	—	2	1	no	—
74	#11719282	C₂²	1	1	yes	characteristic, complemented
75	#11719277	C₂²	1	1	yes	characteristic, complemented
76	#11719268	C₂²	1	1	yes	characteristic, complemented
77	#11719267	C₂²	1	1	yes	characteristic
78	#11719258	—	2	1	no	—
79	#11719258	C₂²	1	1	yes	characteristic, complemented
80	#11719256	C₂²	1	1	yes	characteristic, complemented
81	#11719252	—	2	1	no	—
82	#11719252	C₂²	1	1	yes	characteristic
83	#11719199	—	2	1	no	—
84	#11719195	—	2	1	no	—
85	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#449	C₂²	1	1	yes	characteristic
93	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
95	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
96	#11718899	C₂²	1	1	yes	characteristic, complemented
97	#11718899	C₂²	1	1	yes	characteristic, complemented
98	#11718894	C₂²	1	1	yes	characteristic, complemented
99	#11718888	C₂²	1	1	yes	characteristic, complemented
100	#11718886	C₂²	1	1	yes	characteristic, complemented
101	#11718878	C₂²	1	1	yes	characteristic, complemented
102	#11718850	C₂²	1	1	yes	characteristic, complemented
103	#11718848	C₂²	1	1	yes	characteristic, complemented
104	#11718848	C₂²	1	1	yes	characteristic, complemented
105	#11718847	C₂²	1	1	yes	characteristic, complemented
106	#11718846	C₂²	1	1	yes	characteristic, complemented
107	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718837	C₂²	1	1	yes	characteristic, complemented
109	#11718835	C₂²	1	1	yes	characteristic, complemented
110	#11718834	C₂²	1	1	yes	characteristic, complemented
111	#11718833	C₂²	1	1	yes	characteristic
112	#11718833	C₂²	1	1	yes	characteristic
113	#11718833	C₂²	1	1	yes	characteristic, complemented
114	#11718833	C₂²	1	1	yes	characteristic, complemented
115	#11718833	C₂²	1	1	yes	characteristic, complemented
116	#11718833	C₂²	1	1	yes	characteristic, complemented
117	#11718831	C₂²	1	1	yes	characteristic
118	#11718831	C₂²	1	1	yes	characteristic, complemented
119	#11718831	C₂²	1	1	yes	characteristic, complemented
120	#11718831	C₂²	1	1	yes	characteristic, complemented
121	#11718830	C₂²	1	1	yes	characteristic, complemented
122	#11718830	C₂²	1	1	yes	characteristic, complemented
123	#11718826	C₂²	1	1	yes	characteristic, complemented
124	#11718825	C₂²	1	1	yes	characteristic, complemented
125	#11718824	C₂²	1	1	yes	characteristic, complemented
126	#11718824	C₂²	1	1	yes	characteristic, complemented
127	#11718820	C₂²	1	1	yes	characteristic, complemented
128	#11718819	C₂²	1	1	yes	characteristic
129	#11718818	C₂²	1	1	yes	characteristic, complemented
130	#11718817	C₂²	1	1	yes	characteristic
131	#11718817	C₂²	1	1	yes	characteristic, complemented
132	#11718812	C₂²	1	1	yes	characteristic, complemented
133	#11718811	C₂²	1	1	yes	characteristic, complemented
134	#11718776	C₂²	1	1	yes	characteristic, complemented
135	#11718776	C₂²	1	1	yes	characteristic, complemented
136	#11718774	C₂²	1	1	yes	characteristic, complemented
137	#11718774	C₂²	1	1	yes	characteristic, complemented
138	#11718772	C₂²	1	1	yes	characteristic, complemented
139	#11718771	C₂²	1	1	yes	characteristic, complemented
140	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
141	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
142	#11718719	C₂²	1	1	yes	characteristic, complemented
143	#11718718	C₂²	1	1	yes	characteristic, complemented
144	#11718716	C₂²	1	1	yes	characteristic, complemented
145	#11718715	C₂²	1	1	yes	characteristic, complemented
146	#11718710	C₂²	1	1	yes	characteristic, complemented
147	#11718709	C₂²	1	1	yes	characteristic, complemented
148	#11718708	C₂²	1	1	yes	characteristic, complemented
149	#11718706	C₂²	1	1	yes	characteristic, complemented
150	#11718700	C₂²	1	1	yes	characteristic, complemented
151	#11718699	C₂²	1	1	yes	characteristic, complemented
152	#11718698	C₂²	1	1	yes	characteristic
153	#11718696	C₂²	1	1	yes	characteristic, complemented
154	#11718687	C₂²	1	1	yes	characteristic, complemented
155	#11718681	C₂²	1	1	yes	characteristic, complemented
156	#11718679	C₂²	1	1	yes	characteristic, complemented
157	#11718676	C₂²	1	1	yes	characteristic, complemented
158	#11718672	C₂²	1	1	yes	characteristic, complemented
159	#11718527	C₂²	1	1	yes	characteristic, complemented
160	#11718524	C₂²	1	1	yes	characteristic, complemented
161	#11718524	C₂²	1	1	yes	characteristic, complemented
162	#11718518	C₂²	1	1	yes	characteristic, complemented
163	#11718511	C₂²	1	1	yes	characteristic, complemented
164	#11718504	C₂²	1	1	yes	characteristic, complemented
165	#11718501	C₂²	1	1	yes	characteristic, complemented
166	#11718497	C₂²	1	1	yes	characteristic, complemented
167	#11718475	C₂²	1	1	yes	characteristic, complemented
168	#11718473	C₂²	1	1	yes	characteristic, complemented
169	#11718472	C₂²	1	1	yes	characteristic, complemented
170	#11718472	C₂²	1	1	yes	characteristic, complemented
171	#11718470	C₂²	1	1	yes	characteristic, complemented
172	#11718467	C₂²	1	1	yes	characteristic, complemented
173	#11718464	C₂²	1	1	yes	characteristic, complemented
174	#11718464	C₂²	1	1	yes	characteristic, complemented
175	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
176	#11718461	C₂²	1	1	yes	characteristic, complemented
177	#11718460	C₂²	1	1	yes	characteristic, complemented
178	#11718450	C₂²	1	1	yes	characteristic, complemented
179	#11718445	C₂²	1	1	yes	characteristic
180	#11718443	C₂²	1	1	yes	characteristic, complemented
181	#11718443	C₂²	1	1	yes	characteristic, complemented
182	#11718440	C₂²	1	1	yes	characteristic, complemented
183	#11718436	C₂²	1	1	yes	characteristic, complemented
184	#11718435	C₂²	1	1	yes	characteristic, complemented
185	#11718434	C₂²	1	1	yes	characteristic, complemented
186	#11718434	C₂²	1	1	yes	characteristic, complemented
187	#11718432	C₂²	1	1	yes	characteristic, complemented
188	#11718425	C₂²	1	1	yes	characteristic, complemented
189	#11718423	C₂²	1	1	yes	characteristic, complemented
190	#11718419	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718398	C₂²	1	1	yes	characteristic, complemented
193	#11718395	C₂²	1	1	yes	characteristic, complemented
194	#11718395	C₂²	1	1	yes	characteristic, complemented
195	#11718391	C₂²	1	1	yes	characteristic, complemented
196	#11718390	C₂²	1	1	yes	characteristic, complemented
197	#11718388	C₂²	1	1	yes	characteristic, complemented
198	#11718387	C₂²	1	1	yes	characteristic, complemented
199	#11718355	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
201	#11718351	C₂²	1	1	yes	characteristic, complemented
202	#11718349	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	#41×D₁₃	—	4	2	no	—
209	#41×D₁₃	—	4	2	no	—
210	#88254	—	4	2	no	—
211	#88254	—	4	2	no	—
212	C₂×#6131	—	2	1	no	—
213	C₂×#6131	C₂³	1	1	yes	characteristic
214	C₂×#6131	C₂³	1	1	yes	characteristic
215	C₂×#6131	C₂³	1	1	yes	characteristic
216	C₂×#6131	C₂³	1	1	yes	characteristic
217	C₂×Q₈×D₁₃	—	2	1	no	—
218	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
219	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
220	C₂×#6129	—	2	1	no	—
221	C₂×#6129	C₂³	1	1	yes	characteristic
222	C₂×D₄×D₁₃	—	2	1	no	—
223	C₂×D₄×D₁₃	—	2	1	no	—
224	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×#6127	—	2	1	no	—
227	C₂×#6127	—	2	1	no	—
228	C₂×#6127	—	2	1	no	—
229	C₂×#6127	—	2	1	no	—
230	C₂×#6127	C₂³	1	1	yes	characteristic
231	C₂×#6127	C₂³	1	1	yes	characteristic
232	C₂×#6127	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₁₃	—	2	1	no	—
234	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
235	C₁₃×#135	—	4	2	no	—
236	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×SD₁₆	—	4	2	no	—
239	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
246	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
247	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₁₃×#124	—	2	1	no	—
249	C₁₃×#124	C₂³	1	1	yes	characteristic
250	C₁₃×#124	C₂³	1	1	yes	characteristic
251	C₁₃×#123	—	2	1	no	—
252	C₁₃×C₂²⋊Q₈	—	2	1	no	—
253	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₃×#121	—	2	1	no	—
256	C₁₃×#121	—	2	1	no	—
257	C₁₃×#121	C₂³	1	1	yes	characteristic
258	C₁₃×#121	C₂³	1	1	yes	characteristic
259	C₁₃×#120	—	2	1	no	—
260	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
263	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
265	#88207	—	2	1	no	—
266	#88207	—	2	1	no	—
267	#88207	—	2	1	no	—
268	#88204	—	4	2	no	—
269	#88201	—	2	1	no	—
270	#88201	C₂³	1	1	yes	characteristic
271	#88200	—	2	1	no	—
272	#88200	C₂³	1	1	yes	characteristic
273	#88200	C₂³	1	1	yes	characteristic
274	#88200	C₂³	1	1	yes	characteristic
275	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
276	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×#6107	C₂³	1	1	yes	characteristic
278	C₂×#6106	C₂³	1	1	yes	characteristic
279	C₂×#6106	C₂³	1	1	yes	characteristic
280	C₂×#6106	C₂³	1	1	yes	characteristic
281	C₂×#6106	C₂³	1	1	yes	characteristic
282	#88194	—	2	1	no	—
283	#88194	—	2	1	no	—
284	#88194	—	2	1	no	—
285	#88194	—	2	1	no	—
286	#88194	—	2	1	no	—
287	#88194	—	2	1	no	—
288	#88194	C₂³	1	1	yes	characteristic
289	#88194	C₂³	1	1	yes	characteristic
290	#88193	—	2	1	no	—
291	#88193	—	2	1	no	—
292	#88193	—	2	1	no	—
293	#88193	D₄	1	1	yes	characteristic
294	#88192	—	2	1	no	—
295	#88192	—	2	1	no	—
296	#88192	—	2	1	no	—
297	#88192	—	2	1	no	—
298	#88192	C₂³	1	1	yes	characteristic
299	#88192	C₂³	1	1	yes	characteristic
300	#88192	C₂³	1	1	yes	characteristic
301	#88192	C₂³	1	1	yes	characteristic
302	#88192	C₂³	1	1	yes	characteristic
303	#88192	C₂³	1	1	yes	characteristic
304	#88191	—	2	1	no	—
305	#88191	—	2	1	no	—
306	#88191	—	2	1	no	—
307	#88191	D₄	1	1	yes	characteristic
308	#88190	—	2	1	no	—
309	#88189	—	2	1	no	—
310	#88189	—	2	1	no	—
311	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
312	C₂×#6105	C₂³	1	1	yes	characteristic
313	C₂×#6105	C₂³	1	1	yes	characteristic
314	#88186	—	4	2	no	—
315	C₂×#6104	C₂³	1	1	yes	characteristic
316	C₂×#6104	C₂³	1	1	yes	characteristic
317	C₂×#6104	C₂³	1	1	yes	characteristic
318	C₂×#6104	C₂³	1	1	yes	characteristic
319	C₂×#6104	C₂³	1	1	yes	characteristic
320	#88184	—	2	1	no	—
321	#88184	—	2	1	no	—
322	#88184	—	2	1	no	—
323	#88184	—	2	1	no	—
324	#88184	C₂³	1	1	yes	characteristic
325	#88184	C₂³	1	1	yes	characteristic
326	#88184	C₂³	1	1	yes	characteristic
327	#88184	C₂³	1	1	yes	characteristic
328	#88183	—	2	1	no	—
329	C₄×C₂²⋊D₁₃	—	2	1	no	—
330	C₄×C₂²⋊D₁₃	—	2	1	no	—
331	C₄×C₂²⋊D₁₃	—	2	1	no	—
332	C₄×C₂²⋊D₁₃	—	2	1	no	—
333	C₄×C₂²⋊D₁₃	—	2	1	no	—
334	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
335	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
336	#88180	C₂³	1	1	yes	characteristic
337	#88180	C₂³	1	1	yes	characteristic
338	#88178	—	2	1	no	—
339	C₂×#6099	C₂³	1	1	yes	characteristic
340	C₂²×#1055	C₂³	1	1	yes	characteristic
341	#88173	—	4	2	no	—
342	#88172	—	4	2	no	—
343	#88168	—	4	2	no	—
344	#88165	—	4	2	no	—
345	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
346	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
347	C₂×#6095	C₂³	1	1	yes	characteristic
348	C₂×#6094	C₂³	1	1	yes	characteristic
349	C₂×#6094	C₂³	1	1	yes	characteristic
350	C₂×#6094	C₂³	1	1	yes	characteristic
351	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
352	#88150	—	2	1	no	—
353	#88150	—	2	1	no	—
354	#88150	D₄	1	1	yes	characteristic
355	#88149	—	2	1	no	—
356	#88149	—	2	1	no	—
357	#88149	—	2	1	no	—
358	#88149	C₂³	1	1	yes	characteristic
359	#88149	C₂³	1	1	yes	characteristic
360	#88149	C₂³	1	1	yes	characteristic
361	#88148	—	2	1	no	—
362	#88148	D₄	1	1	yes	characteristic
363	#88147	—	2	1	no	—
364	#88147	—	2	1	no	—
365	#88147	—	2	1	no	—
366	#88146	—	2	1	no	—
367	#88146	—	2	1	no	—
368	#88146	—	2	1	no	—
369	#88146	C₂³	1	1	yes	characteristic
370	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
371	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
372	#88144	C₂³	1	1	yes	characteristic
373	#88143	—	2	1	no	—
374	#88141	—	2	1	no	—
375	#88141	C₂³	1	1	yes	characteristic
376	#88140	—	2	1	no	—
377	#88139	—	2	1	no	—
378	#88139	—	2	1	no	—
379	#88139	—	2	1	no	—
380	#88139	—	2	1	no	—
381	#88139	—	2	1	no	—
382	#88139	—	2	1	no	—
383	#88138	—	2	1	no	—
384	#88138	—	2	1	no	—
385	#88138	—	2	1	no	—
386	#88138	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88138	—	2	1	no	—
389	#88138	—	2	1	no	—
390	#88138	—	2	1	no	—
391	#88138	—	2	1	no	—
392	#88138	—	2	1	no	—
393	#88138	—	2	1	no	—
394	#88138	—	2	1	no	—
395	#88138	D₄	1	1	yes	characteristic
396	#88137	—	2	1	no	—
397	#88137	—	2	1	no	—
398	#88137	—	2	1	no	—
399	#88137	—	2	1	no	—
400	#88137	—	2	1	no	—
401	#88137	D₄	1	1	yes	characteristic
402	#88136	—	2	1	no	—
403	#88136	—	2	1	no	—
404	#88136	—	2	1	no	—
405	#88136	—	2	1	no	—
406	#88136	—	2	1	no	—
407	#88136	D₄	1	1	yes	characteristic
408	#88135	—	2	1	no	—
409	#88135	—	2	1	no	—
410	#88135	—	2	1	no	—
411	#88135	—	2	1	no	—
412	C₂²⋊C₄×D₁₃	—	2	1	no	—
413	C₂²⋊C₄×D₁₃	—	2	1	no	—
414	#88133	—	2	1	no	—
415	#88133	—	2	1	no	—
416	#88133	—	2	1	no	—
417	#88132	—	2	1	no	—
418	#88132	—	2	1	no	—
419	#88132	D₄	1	1	yes	characteristic
420	#88128	—	2	1	no	—
421	#88128	C₂³	1	1	yes	characteristic
422	C₄×D₅₂	—	2	1	no	—
423	C₄×D₅₂	C₂³	1	1	yes	characteristic
424	C₄×D₅₂	C₂³	1	1	yes	characteristic
425	#88126	—	2	1	no	—
426	#88126	C₂³	1	1	yes	characteristic
427	#88123	C₂³	1	1	yes	characteristic
428	C₄×Dic₂₆	—	2	1	no	—
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
430	C₁₃×#106	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#103	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	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
441	#88075	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	#88075	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88072	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	#88072	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic
454	C₂²⋊#1055	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88061	C₂³	1	1	yes	characteristic
457	#88061	C₂³	1	1	yes	characteristic
458	#88061	C₂³	1	1	yes	characteristic
459	#88061	C₂³	1	1	yes	characteristic
460	#88061	C₂³	1	1	yes	characteristic
461	#88061	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88060	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88060	C₂³	1	1	yes	characteristic
467	#88060	C₂³	1	1	yes	characteristic
468	#88060	C₂³	1	1	yes	characteristic
469	#88060	C₂³	1	1	yes	characteristic
470	#88058	C₂³	1	1	yes	characteristic
471	#88058	C₂³	1	1	yes	characteristic
472	#88057	C₂³	1	1	yes	characteristic
473	#88056	C₂³	1	1	yes	characteristic
474	#88056	C₂³	1	1	yes	characteristic
475	#88056	C₂³	1	1	yes	characteristic
476	#88055	C₂³	1	1	yes	characteristic
477	#88054	C₂³	1	1	yes	characteristic
478	#88054	C₂³	1	1	yes	characteristic
479	C₈×Dic₁₃	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	#88043	C₂³	1	1	yes	characteristic
490	#61616	—	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	C₁₃×#41	—	2	2	no	—
496	C₁₃×#41	—	4	1	no	—
497	C₁₃×#41	—	4	1	no	—
498	C₁₃×#41	—	4	1	no	—
499	C₂×Q₈×C₁₃	—	2	1	no	—
500	C₂×Q₈×C₁₃	—	2	2	no	—
501	C₂×Q₈×C₁₃	—	4	1	no	—
502	C₂×Q₈×C₁₃	C₂⁴	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	C₂⁴	1	1	yes	characteristic
514	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	—	2	1	no	—
519	C₂²×C₄×C₁₃	—	2	1	no	—
520	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	2	1	no	—
536	C₂×C₂²⋊D₁₃	—	2	1	no	—
537	C₂×C₂²⋊D₁₃	—	2	1	no	—
538	C₂×C₂²⋊D₁₃	—	2	1	no	—
539	C₂×C₂²⋊D₁₃	—	2	1	no	—
540	C₂×C₂²⋊D₁₃	—	2	1	no	—
541	C₂×C₂²⋊D₁₃	—	8	2	no	—
542	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
543	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
544	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
545	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
546	C₂²×Dic₁₃	—	2	1	no	—
547	C₂²×Dic₁₃	—	2	1	no	—
548	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
549	#6131	—	2	2	no	—
550	#6131	—	2	2	no	—
551	#6131	—	4	1	no	—
552	#6131	—	4	1	no	—
553	#6131	—	4	1	no	—
554	#6131	—	4	1	no	—
555	#6131	—	4	4	no	—
556	#6131	—	4	1	no	—
557	#6131	—	4	1	no	—
558	Q₈×D₁₃	—	2	2	no	—
559	Q₈×D₁₃	—	2	2	no	—
560	Q₈×D₁₃	—	2	2	no	—
561	Q₈×D₁₃	—	4	1	no	—
562	Q₈×D₁₃	—	4	4	no	—
563	#6129	—	2	2	no	—
564	#6129	—	4	1	no	—
565	#6129	—	4	4	no	—
566	D₄×D₁₃	—	4	1	no	—
567	D₄×D₁₃	—	4	1	no	—
568	D₄×D₁₃	—	4	1	no	—
569	D₄×D₁₃	—	4	1	no	—
570	D₄×D₁₃	—	4	4	no	—
571	D₄×D₁₃	—	8	2	no	—
572	#6127	—	2	2	no	—
573	#6127	—	2	2	no	—
574	#6127	—	4	1	no	—
575	#6127	—	4	1	no	—
576	#6127	—	4	4	no	—
577	#6127	—	4	4	no	—
578	#6127	—	4	1	no	—
579	#6127	—	4	1	no	—
580	#6127	—	4	4	no	—
581	#6127	—	8	2	no	—
582	C₂×D₅₂	—	2	1	no	—
583	C₂×D₅₂	—	2	1	no	—
584	C₂×D₅₂	—	2	1	no	—
585	C₂×D₅₂	—	2	1	no	—
586	C₂×D₅₂	—	2	1	no	—
587	C₂×D₅₂	—	2	1	no	—
588	C₂×D₅₂	—	2	1	no	—
589	C₂×D₅₂	—	2	1	no	—
590	C₂×D₅₂	—	2	1	no	—
591	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
592	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
593	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
594	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
595	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
604	C₂×C₄×D₁₃	—	2	1	no	—
605	C₂×C₄×D₁₃	—	2	1	no	—
606	C₂×C₄×D₁₃	—	2	1	no	—
607	C₂×C₄×D₁₃	—	4	1	no	—
608	C₂×C₄×D₁₃	—	4	1	no	—
609	C₂×C₄×D₁₃	—	4	4	no	—
610	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
611	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
612	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
613	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
614	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
615	C₂×Dic₂₆	—	2	1	no	—
616	C₂×Dic₂₆	—	2	1	no	—
617	C₂×Dic₂₆	—	2	1	no	—
618	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
619	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
620	C₁₃×Q₁₆	—	2	2	no	—
621	C₁₃×Q₁₆	—	4	1	no	—
622	C₁₃×SD₁₆	—	2	2	no	—
623	C₁₃×SD₁₆	—	2	2	no	—
624	C₁₃×SD₁₆	—	4	1	no	—
625	C₁₃×SD₁₆	—	4	1	no	—
626	C₁₃×SD₁₆	—	4	1	no	—
627	C₁₃×D₈	—	4	1	no	—
628	C₁₃×D₈	—	4	1	no	—
629	C₂×C₈×C₁₃	—	4	1	no	—
630	C₂×C₈×C₁₃	—	4	1	no	—
631	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
632	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
633	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
634	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
635	C₁₃×C₄⋊C₄	—	2	1	no	—
636	C₁₃×C₄⋊C₄	—	2	1	no	—
637	C₁₃×C₄⋊C₄	—	2	1	no	—
638	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₄²×C₁₃	—	2	1	no	—
653	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
654	C₂²⋊Dic₁₃	—	2	1	no	—
655	C₂²⋊Dic₁₃	—	2	1	no	—
656	C₂²⋊Dic₁₃	—	2	1	no	—
657	C₂²⋊Dic₁₃	—	2	1	no	—
658	C₂²⋊Dic₁₃	—	2	1	no	—
659	C₂²⋊Dic₁₃	—	2	1	no	—
660	C₂²⋊Dic₁₃	—	2	1	no	—
661	C₂²⋊Dic₁₃	—	2	1	no	—
662	C₂²⋊Dic₁₃	—	2	1	no	—
663	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
664	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
665	#6107	—	2	2	no	—
666	#6106	—	2	2	no	—
667	#6106	—	4	1	no	—
668	#6106	—	4	1	no	—
669	#6106	—	4	1	no	—
670	#6105	—	2	2	no	—
671	#6105	—	2	2	no	—
672	#6104	—	4	1	no	—
673	#6104	—	4	1	no	—
674	#6104	—	4	1	no	—
675	#6104	—	4	1	no	—
676	#6104	—	4	1	no	—
677	#6103	—	2	1	no	—
678	#6103	—	2	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	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	C₂×D₄	1	1	yes	characteristic
692	#6103	C₂×D₄	1	1	yes	characteristic
693	#6103	C₂×D₄	1	1	yes	characteristic
694	#6103	C₂×D₄	1	1	yes	characteristic
695	#6103	C₂×D₄	1	1	yes	characteristic
696	#6103	C₂×D₄	1	1	yes	characteristic
697	C₄⋊Dic₁₃	—	2	1	no	—
698	C₄⋊Dic₁₃	—	2	1	no	—
699	C₄⋊Dic₁₃	—	2	1	no	—
700	C₄⋊Dic₁₃	—	2	1	no	—
701	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
702	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
703	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
704	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
705	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	C₂×D₄	1	1	yes	characteristic
715	#6101	C₂×D₄	1	1	yes	characteristic
716	#6101	C₂×D₄	1	1	yes	characteristic
717	#6101	C₂×D₄	1	1	yes	characteristic
718	C₄×Dic₁₃	—	2	1	no	—
719	C₄×Dic₁₃	—	2	1	no	—
720	C₄×Dic₁₃	—	2	1	no	—
721	C₄×Dic₁₃	—	2	1	no	—
722	C₄×Dic₁₃	—	2	1	no	—
723	C₄×Dic₁₃	—	2	1	no	—
724	C₄×Dic₁₃	—	2	1	no	—
725	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
726	#6099	—	4	1	no	—
727	C₂×#1055	—	4	1	no	—
728	C₂×#1055	C₂⁴	1	1	yes	characteristic
729	C₂×#1055	C₂⁴	1	1	yes	characteristic
730	C₂×#1055	C₂⁴	1	1	yes	characteristic
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	D₁₀₄	—	4	1	no	—
733	D₁₀₄	—	4	1	no	—
734	#6095	—	2	2	no	—
735	#6094	—	4	1	no	—
736	#6094	—	4	1	no	—
737	#6094	—	4	1	no	—
738	C₈×D₁₃	—	4	1	no	—
739	#3542	—	13	1	no	—
740	#3487	—	13	1	no	—
741	#3332	—	13	1	no	—
742	#3327	—	13	1	no	—
743	#3321	—	13	1	no	—
744	#3317	—	13	1	no	—
745	#3309	—	13	1	no	—
746	#3308	—	13	1	no	—
747	#3305	—	13	1	no	—
748	#3301	—	13	1	no	—
749	#3287	—	13	1	no	—
750	#3282	D₁₃	1	1	yes	characteristic, complemented
751	#3275	—	13	1	no	—
752	#3274	—	13	1	no	—
753	#3271	—	13	1	no	—
754	#3268	—	13	1	no	—
755	#3268	—	13	1	no	—
756	#3265	—	13	1	no	—
757	#3224	—	13	1	no	—
758	#3220	—	13	1	no	—
759	#3199	—	13	1	no	—
760	#3198	—	13	1	no	—
761	#3197	—	13	1	no	—
762	#3188	—	13	1	no	—
763	#3126	—	13	1	no	—
764	#3121	—	13	1	no	—
765	#3013	—	13	1	no	—
766	#3010	—	13	1	no	—
767	#3006	—	13	1	no	—
768	#3002	—	13	1	no	—
769	#2976	—	13	1	no	—
770	C₂³×C₁₃	—	2	1	no	—
771	C₂³×C₁₃	—	2	1	no	—
772	C₂³×C₁₃	—	2	1	no	—
773	C₂³×C₁₃	—	8	1	no	—
774	C₂³×C₁₃	—	8	1	no	—
775	C₂³×C₁₃	—	8	1	no	—
776	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
777	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂²×D₁₃	—	2	1	no	—
779	C₂²×D₁₃	—	2	1	no	—
780	C₂²×D₁₃	—	2	1	no	—
781	C₂²×D₁₃	—	4	1	no	—
782	C₂²×D₁₃	—	4	1	no	—
783	C₂²×D₁₃	—	4	1	no	—
784	C₂²×D₁₃	—	4	2	no	—
785	C₂²×D₁₃	—	4	2	no	—
786	C₂²×D₁₃	—	8	1	no	—
787	C₂²×D₁₃	—	8	1	no	—
788	C₂²×D₁₃	—	8	1	no	—
789	C₂²×D₁₃	—	8	1	no	—
790	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
793	Q₈×C₁₃	—	2	1	no	—
794	Q₈×C₁₃	—	2	1	no	—
795	Q₈×C₁₃	—	2	1	no	—
796	Q₈×C₁₃	—	2	1	no	—
797	Q₈×C₁₃	—	2	1	no	—
798	Q₈×C₁₃	—	4	2	no	—
799	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
800	D₄×C₁₃	—	2	1	no	—
801	D₄×C₁₃	—	2	1	no	—
802	D₄×C₁₃	—	2	1	no	—
803	D₄×C₁₃	—	2	1	no	—
804	D₄×C₁₃	—	2	1	no	—
805	D₄×C₁₃	—	2	1	no	—
806	D₄×C₁₃	—	4	1	no	—
807	D₄×C₁₃	—	4	2	no	—
808	D₄×C₁₃	—	8	1	no	—
809	D₄×C₁₃	—	8	1	no	—
810	D₄×C₁₃	—	8	1	no	—
811	D₄×C₁₃	—	8	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	2	1	no	—
815	C₂×C₄×C₁₃	—	2	1	no	—
816	C₂×C₄×C₁₃	—	2	1	no	—
817	C₂×C₄×C₁₃	—	2	1	no	—
818	C₂×C₄×C₁₃	—	2	1	no	—
819	C₂×C₄×C₁₃	—	2	1	no	—
820	C₂×C₄×C₁₃	—	2	1	no	—
821	C₂×C₄×C₁₃	—	4	2	no	—
822	C₂×C₄×C₁₃	—	4	2	no	—
823	C₂×C₄×C₁₃	—	8	1	no	—
824	C₂×C₄×C₁₃	—	8	1	no	—
825	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
828	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
829	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
830	C₂²⋊D₁₃	—	4	1	no	—
831	C₂²⋊D₁₃	—	4	1	no	—
832	C₂²⋊D₁₃	—	4	1	no	—
833	C₂²⋊D₁₃	—	4	1	no	—
834	C₂²⋊D₁₃	—	4	2	no	—
835	C₂²⋊D₁₃	—	4	2	no	—
836	C₂²⋊D₁₃	—	4	2	no	—
837	C₂²⋊D₁₃	—	4	2	no	—
838	C₂²⋊D₁₃	—	4	2	no	—
839	C₂²⋊D₁₃	—	8	1	no	—
840	C₂²⋊D₁₃	—	8	1	no	—
841	C₂²⋊D₁₃	—	8	1	no	—
842	C₂²⋊D₁₃	—	8	1	no	—
843	C₂²⋊D₁₃	—	8	1	no	—
844	C₂²⋊D₁₃	—	8	1	no	—
845	C₂²⋊D₁₃	—	8	1	no	—
846	C₂²⋊D₁₃	—	8	1	no	—
847	C₂²⋊D₁₃	—	8	1	no	—
848	C₂²⋊D₁₃	—	8	1	no	—
849	C₂²⋊D₁₃	—	8	1	no	—
850	C₂²⋊D₁₃	—	8	1	no	—
851	C₂²⋊D₁₃	—	8	1	no	—
852	C₂²⋊D₁₃	—	8	1	no	—
853	C₂×Dic₁₃	—	2	1	no	—
854	C₂×Dic₁₃	—	2	1	no	—
855	C₂×Dic₁₃	—	2	1	no	—
856	C₂×Dic₁₃	—	2	1	no	—
857	C₂×Dic₁₃	—	2	1	no	—
858	C₂×Dic₁₃	—	4	1	no	—
859	C₂×Dic₁₃	—	4	2	no	—
860	C₂×Dic₁₃	—	8	1	no	—
861	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
862	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
863	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
864	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
865	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
866	D₅₂	—	2	1	no	—
867	D₅₂	—	2	1	no	—
868	D₅₂	—	2	1	no	—
869	D₅₂	—	2	1	no	—
870	D₅₂	—	2	1	no	—
871	D₅₂	—	2	1	no	—
872	D₅₂	—	4	1	no	—
873	D₅₂	—	4	1	no	—
874	D₅₂	—	4	2	no	—
875	D₅₂	—	4	2	no	—
876	D₅₂	—	4	2	no	—
877	D₅₂	—	8	1	no	—
878	D₅₂	—	8	1	no	—
879	D₅₂	—	8	1	no	—
880	D₅₂	—	8	1	no	—
881	D₅₂	—	8	1	no	—
882	D₅₂	—	8	1	no	—
883	C₄×D₁₃	—	2	4	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	—	4	1	no	—
891	C₄×D₁₃	—	4	1	no	—
892	C₄×D₁₃	—	4	2	no	—
893	C₄×D₁₃	—	4	2	no	—
894	C₄×D₁₃	—	4	2	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	—	8	1	no	—
900	C₄×D₁₃	—	8	1	no	—
901	C₄×D₁₃	—	8	1	no	—
902	Dic₂₆	—	2	4	no	—
903	Dic₂₆	—	2	1	no	—
904	Dic₂₆	—	4	1	no	—
905	Dic₂₆	—	4	2	no	—
906	Dic₂₆	—	8	1	no	—
907	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
908	C₈×C₁₃	—	2	1	no	—
909	C₈×C₁₃	—	2	1	no	—
910	C₈×C₁₃	—	2	1	no	—
911	C₈×C₁₃	—	2	1	no	—
912	#1055	—	2	1	no	—
913	#1055	—	2	1	no	—
914	#1055	—	2	1	no	—
915	#1055	—	2	1	no	—
916	C₂×2₋¹⁺⁴	—	13	1	no	—
917	C₂²×#41	—	13	1	no	—
918	C₂×#137	—	13	1	no	—
919	C₂×AGL(1,ℤ/8)	—	13	1	no	—
920	C₂×AGL(1,ℤ/8)	—	13	1	no	—
921	C₂×AGL(1,ℤ/8)	—	13	1	no	—
922	C₂×#135	—	13	1	no	—
923	C₂×#135	—	13	1	no	—
924	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
925	C₂²×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
926	#562	—	26	1	no	—
927	#560	—	26	1	no	—
928	#555	—	13	1	no	—
929	#553	—	13	1	no	—
930	#552	—	13	1	no	—
931	#551	—	26	1	no	—
932	#550	—	13	1	no	—
933	#550	—	13	1	no	—
934	#550	—	13	1	no	—
935	#550	—	13	1	no	—
936	#550	—	13	1	no	—
937	#550	—	26	1	no	—
938	#550	—	26	1	no	—
939	#548	—	13	1	no	—
940	#548	—	13	1	no	—
941	#548	—	13	1	no	—
942	#548	—	26	1	no	—
943	#548	—	26	1	no	—
944	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
945	#547	—	13	1	no	—
946	#546	—	13	1	no	—
947	#546	—	26	1	no	—
948	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
949	D₄²	—	13	1	no	—
950	#542	—	13	1	no	—
951	#540	—	13	1	no	—
952	#540	—	26	1	no	—
953	#538	—	26	1	no	—
954	#537	—	13	1	no	—
955	#535	—	13	1	no	—
956	#535	—	13	1	no	—
957	#535	—	13	1	no	—
958	#535	—	26	1	no	—
959	#535	—	26	1	no	—
960	#535	—	26	1	no	—
961	#534	—	26	1	no	—
962	#525	—	13	1	no	—
963	#525	—	13	1	no	—
964	#525	—	13	1	no	—
965	#525	—	26	1	no	—
966	#525	—	26	1	no	—
967	C₂×#121	—	13	1	no	—
968	#519	—	13	1	no	—
969	#496	—	13	1	no	—
970	#496	—	13	1	no	—
971	#495	C₂×D₁₃	1	1	yes	characteristic, complemented
972	#493	—	13	1	no	—
973	#490	—	13	1	no	—
974	#489	—	13	1	no	—
975	#488	—	13	1	no	—
976	#486	—	13	1	no	—
977	#485	—	13	1	no	—
978	#485	—	13	1	no	—
979	#484	—	13	1	no	—
980	#482	—	13	1	no	—
981	#482	—	13	1	no	—
982	#482	—	13	1	no	—
983	#482	—	13	1	no	—
984	#482	—	13	1	no	—
985	#482	—	13	1	no	—
986	#481	—	13	1	no	—
987	#481	—	13	1	no	—
988	#480	—	13	1	no	—
989	#479	—	13	1	no	—
990	#479	—	13	1	no	—
991	#477	—	13	1	no	—
992	#475	—	13	1	no	—
993	#470	—	13	1	no	—
994	#469	—	13	1	no	—
995	#469	—	13	1	no	—
996	#469	—	13	1	no	—
997	#469	—	13	1	no	—
998	#468	—	13	1	no	—
999	#468	—	13	1	no	—
1000	#468	—	13	1	no	—
1001	#466	—	13	1	no	—
1002	#466	—	13	1	no	—
1003	#466	—	13	1	no	—
1004	#466	—	13	1	no	—
1005	#466	—	13	1	no	—
1006	#465	—	13	1	no	—
1007	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1008	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1009	#464	—	13	1	no	—
1010	#464	—	13	1	no	—
1011	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
1012	#463	—	13	1	no	—
1013	#463	—	13	1	no	—
1014	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1015	#460	—	13	1	no	—
1016	#460	—	13	1	no	—
1017	#460	—	13	1	no	—
1018	#459	—	13	1	no	—
1019	#459	—	13	1	no	—
1020	#459	—	13	1	no	—
1021	#452	—	13	1	no	—
1022	#452	—	13	1	no	—
1023	#452	—	13	1	no	—
1024	#452	—	13	1	no	—
1025	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1026	#451	—	13	1	no	—
1027	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1028	#450	—	13	1	no	—
1029	#450	—	13	1	no	—
1030	#449	—	13	1	no	—
1031	#449	—	13	1	no	—
1032	#449	—	13	1	no	—
1033	#449	—	13	1	no	—
1034	#449	—	13	1	no	—
1035	#449	—	13	1	no	—
1036	#449	—	13	1	no	—
1037	#449	—	13	1	no	—
1038	#449	—	13	1	no	—
1039	#449	—	13	1	no	—
1040	#449	—	13	1	no	—
1041	#449	—	13	1	no	—
1042	#449	—	13	1	no	—
1043	#449	—	13	1	no	—
1044	#449	C₂×D₁₃	1	1	yes	characteristic
1045	#448	—	13	1	no	—
1046	#448	—	13	1	no	—
1047	#448	—	13	1	no	—
1048	#448	—	13	1	no	—
1049	#448	—	13	1	no	—
1050	#448	—	13	1	no	—
1051	#447	—	13	1	no	—
1052	#447	—	13	1	no	—
1053	#447	—	13	1	no	—
1054	#447	—	13	1	no	—
1055	#447	—	13	1	no	—
1056	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1057	#441	—	13	1	no	—
1058	#440	—	13	1	no	—
1059	#440	—	13	1	no	—
1060	#440	—	13	1	no	—
1061	C₄×Q₁₆	—	13	1	no	—
1062	C₄×SD₁₆	—	13	1	no	—
1063	C₄×SD₁₆	—	13	1	no	—
1064	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1065	#436	—	13	1	no	—
1066	#436	—	13	1	no	—
1067	#435	—	13	1	no	—
1068	#435	—	13	1	no	—
1069	#435	—	13	1	no	—
1070	#435	—	13	1	no	—
1071	C₈×D₄	—	13	1	no	—
1072	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1073	#433	—	13	1	no	—
1074	#433	—	13	1	no	—
1075	#419	—	13	1	no	—
1076	#417	—	13	1	no	—
1077	#417	—	13	1	no	—
1078	#417	—	13	1	no	—
1079	#416	—	13	1	no	—
1080	#416	—	13	1	no	—
1081	#416	—	13	1	no	—
1082	C₂×#103	—	13	1	no	—
1083	#408	—	13	1	no	—
1084	#408	—	13	1	no	—
1085	#407	—	13	1	no	—
1086	C₂×C₂²⋊C₈	—	13	1	no	—
1087	C₂²×C₁₃	—	2	1	no	—
1088	C₂²×C₁₃	—	2	1	no	—
1089	C₂²×C₁₃	—	2	1	no	—
1090	C₂²×C₁₃	—	2	1	no	—
1091	C₂²×C₁₃	—	2	1	no	—
1092	C₂²×C₁₃	—	2	1	no	—
1093	C₂²×C₁₃	—	4	1	no	—
1094	C₂²×C₁₃	—	4	1	no	—
1095	C₂²×C₁₃	—	4	1	no	—
1096	C₂²×C₁₃	—	4	1	no	—
1097	C₂²×C₁₃	—	4	1	no	—
1098	C₂²×C₁₃	—	4	1	no	—
1099	C₂²×C₁₃	—	4	1	no	—
1100	C₂²×C₁₃	—	4	1	no	—
1101	C₂²×C₁₃	—	4	1	no	—
1102	C₂²×C₁₃	—	16	2	no	—
1103	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1104	C₂×D₁₃	—	2	1	no	—
1105	C₂×D₁₃	—	2	1	no	—
1106	C₂×D₁₃	—	2	1	no	—
1107	C₂×D₁₃	—	2	1	no	—
1108	C₂×D₁₃	—	2	1	no	—
1109	C₂×D₁₃	—	2	1	no	—
1110	C₂×D₁₃	—	2	1	no	—
1111	C₂×D₁₃	—	2	1	no	—
1112	C₂×D₁₃	—	2	1	no	—
1113	C₂×D₁₃	—	4	1	no	—
1114	C₂×D₁₃	—	4	1	no	—
1115	C₂×D₁₃	—	4	1	no	—
1116	C₂×D₁₃	—	4	1	no	—
1117	C₂×D₁₃	—	4	1	no	—
1118	C₂×D₁₃	—	4	1	no	—
1119	C₂×D₁₃	—	4	1	no	—
1120	C₂×D₁₃	—	4	1	no	—
1121	C₂×D₁₃	—	4	1	no	—
1122	C₂×D₁₃	—	8	2	no	—
1123	C₂×D₁₃	—	8	4	no	—
1124	C₂×D₁₃	—	16	2	no	—
1125	C₄×C₁₃	—	2	1	no	—
1126	C₄×C₁₃	—	2	1	no	—
1127	C₄×C₁₃	—	2	2	no	—
1128	C₄×C₁₃	—	2	1	no	—
1129	C₄×C₁₃	—	2	1	no	—
1130	C₄×C₁₃	—	4	1	no	—
1131	C₄×C₁₃	—	4	1	no	—
1132	C₄×C₁₃	—	4	1	no	—
1133	C₄×C₁₃	—	4	1	no	—
1134	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1135	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1136	Dic₁₃	—	2	1	no	—
1137	Dic₁₃	—	2	1	no	—
1138	Dic₁₃	—	2	1	no	—
1139	Dic₁₃	—	2	2	no	—
1140	Dic₁₃	—	2	1	no	—
1141	Dic₁₃	—	2	1	no	—
1142	Dic₁₃	—	4	1	no	—
1143	Dic₁₃	—	4	1	no	—
1144	Dic₁₃	—	4	1	no	—
1145	Dic₁₃	—	4	1	no	—
1146	2₋¹⁺⁴	—	52	2	no	—
1147	2₋¹⁺⁴	—	52	2	no	—
1148	C₂×#41	—	13	1	no	—
1149	C₂×#41	—	13	1	no	—
1150	C₂×#41	—	13	1	no	—
1151	C₂×#41	—	13	1	no	—
1152	C₂×#41	—	13	1	no	—
1153	C₂×#41	—	13	1	no	—
1154	C₂×#41	—	13	1	no	—
1155	C₂×#41	—	13	1	no	—
1156	C₂×#41	—	26	1	no	—
1157	C₂×#41	—	26	1	no	—
1158	C₂×#41	—	26	1	no	—
1159	C₂×#41	—	26	1	no	—
1160	C₂×#41	—	26	1	no	—
1161	C₂×#41	—	26	1	no	—
1162	C₂×#41	—	52	2	no	—
1163	C₂×#41	—	52	2	no	—
1164	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1165	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1166	C₂²×Q₈	—	13	1	no	—
1167	C₂²×Q₈	—	13	1	no	—
1168	C₂²×Q₈	—	26	1	no	—
1169	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1170	C₂²×D₄	—	13	1	no	—
1171	C₂²×D₄	—	13	1	no	—
1172	C₂²×D₄	—	26	1	no	—
1173	C₂²×D₄	—	26	1	no	—
1174	C₂²×D₄	—	26	1	no	—
1175	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1176	C₂³×C₄	—	13	1	no	—
1177	C₂³×C₄	—	26	1	no	—
1178	#137	—	52	2	no	—
1179	AGL(1,ℤ/8)	—	52	2	no	—
1180	AGL(1,ℤ/8)	—	52	2	no	—
1181	AGL(1,ℤ/8)	—	52	2	no	—
1182	#135	—	4	2	no	—
1183	#135	—	52	2	no	—
1184	#135	—	52	2	no	—
1185	C₂×Q₁₆	—	13	1	no	—
1186	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1187	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1188	C₂×SD₁₆	—	4	2	no	—
1189	C₂×SD₁₆	—	13	1	no	—
1190	C₂×SD₁₆	—	13	1	no	—
1191	C₂×SD₁₆	—	13	1	no	—
1192	C₂×SD₁₆	—	13	1	no	—
1193	C₂×SD₁₆	—	13	1	no	—
1194	C₂×SD₁₆	—	13	1	no	—
1195	C₂×SD₁₆	—	13	1	no	—
1196	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1197	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1198	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1199	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1200	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1201	C₂×D₈	—	13	1	no	—
1202	C₂×D₈	—	13	1	no	—
1203	C₂×D₈	—	13	1	no	—
1204	C₂×D₈	—	13	1	no	—
1205	C₂×D₈	—	13	1	no	—
1206	C₂×D₈	—	13	1	no	—
1207	C₂×D₈	—	13	1	no	—
1208	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1209	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1210	C₂×M₁₆	—	13	1	no	—
1211	C₂×M₁₆	—	13	1	no	—
1212	C₂×M₁₆	—	13	1	no	—
1213	C₂×M₁₆	—	13	1	no	—
1214	C₂²×C₈	—	13	1	no	—
1215	C₂²×C₈	—	13	1	no	—
1216	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1217	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1218	C₄⋊Q₈	—	13	1	no	—
1219	#127	—	13	1	no	—
1220	#127	—	13	1	no	—
1221	#127	—	13	1	no	—
1222	#127	—	26	1	no	—
1223	#127	—	26	1	no	—
1224	#127	—	26	1	no	—
1225	#127	—	26	1	no	—
1226	#127	—	26	1	no	—
1227	#127	—	26	1	no	—
1228	#127	—	26	1	no	—
1229	#126	—	26	1	no	—
1230	#126	—	26	1	no	—
1231	#126	—	26	1	no	—
1232	#125	—	13	1	no	—
1233	#125	—	26	1	no	—
1234	#124	—	2	1	no	—
1235	#124	—	13	1	no	—
1236	#124	—	26	1	no	—
1237	#124	—	26	1	no	—
1238	#124	—	26	1	no	—
1239	#124	—	26	1	no	—
1240	#124	—	26	1	no	—
1241	#124	—	26	1	no	—
1242	#124	—	26	1	no	—
1243	#124	—	26	1	no	—
1244	#124	C₂²×D₁₃	1	1	yes	characteristic
1245	#124	C₂²×D₁₃	1	1	yes	characteristic
1246	#123	—	2	1	no	—
1247	#123	—	13	1	no	—
1248	#123	—	13	1	no	—
1249	#123	—	26	1	no	—
1250	#123	—	26	1	no	—
1251	#123	—	26	1	no	—
1252	#123	—	26	1	no	—
1253	#123	—	26	1	no	—
1254	#123	—	26	1	no	—
1255	#123	—	26	1	no	—
1256	#123	—	26	1	no	—
1257	#123	—	26	1	no	—
1258	#123	—	26	1	no	—
1259	C₂²⋊Q₈	—	2	1	no	—
1260	C₂²⋊Q₈	—	13	1	no	—
1261	C₂²⋊Q₈	—	13	1	no	—
1262	C₂²⋊Q₈	—	13	1	no	—
1263	C₂²⋊Q₈	—	13	1	no	—
1264	C₂²⋊Q₈	—	13	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	#121	—	2	1	no	—
1274	#121	—	2	1	no	—
1275	#121	—	13	1	no	—
1276	#121	—	13	1	no	—
1277	#121	—	13	1	no	—
1278	#121	—	13	1	no	—
1279	#121	—	13	1	no	—
1280	#121	—	13	1	no	—
1281	#121	—	13	1	no	—
1282	#121	—	13	1	no	—
1283	#121	—	13	1	no	—
1284	#121	—	13	1	no	—
1285	#121	—	13	1	no	—
1286	#121	—	13	1	no	—
1287	#121	—	13	1	no	—
1288	#121	—	13	1	no	—
1289	#121	—	13	1	no	—
1290	#121	—	26	1	no	—
1291	#121	—	26	1	no	—
1292	#121	—	26	1	no	—
1293	#121	—	26	1	no	—
1294	#121	—	26	1	no	—
1295	#121	—	26	1	no	—
1296	#121	—	26	1	no	—
1297	#121	—	26	1	no	—
1298	#121	—	26	1	no	—
1299	#121	—	26	1	no	—
1300	#121	—	26	1	no	—
1301	#121	—	26	1	no	—
1302	#121	—	26	1	no	—
1303	#121	—	26	1	no	—
1304	#121	—	26	1	no	—
1305	#121	—	26	1	no	—
1306	#121	—	26	1	no	—
1307	#121	—	26	1	no	—
1308	#121	—	26	1	no	—
1309	#121	—	26	1	no	—
1310	#121	—	26	1	no	—
1311	#121	—	26	1	no	—
1312	#121	—	26	1	no	—
1313	#121	—	26	1	no	—
1314	#121	—	26	1	no	—
1315	#121	—	26	1	no	—
1316	#121	C₂²×D₁₃	1	1	yes	characteristic
1317	#121	C₂²×D₁₃	1	1	yes	characteristic
1318	#120	—	2	1	no	—
1319	#120	—	13	1	no	—
1320	#120	—	13	1	no	—
1321	#120	—	26	1	no	—
1322	#120	—	26	1	no	—
1323	#120	—	26	1	no	—
1324	#120	—	26	1	no	—
1325	#120	—	26	1	no	—
1326	#120	—	26	1	no	—
1327	#120	—	26	1	no	—
1328	#120	—	26	1	no	—
1329	#120	—	26	1	no	—
1330	#120	—	26	1	no	—
1331	#120	—	26	1	no	—
1332	C₄×Q₈	—	13	1	no	—
1333	C₄×Q₈	—	13	1	no	—
1334	C₄×Q₈	—	13	1	no	—
1335	C₄×Q₈	—	13	1	no	—
1336	C₄×Q₈	—	26	1	no	—
1337	C₄×Q₈	—	26	1	no	—
1338	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1339	C₄×D₄	—	2	1	no	—
1340	C₄×D₄	—	13	1	no	—
1341	C₄×D₄	—	13	1	no	—
1342	C₄×D₄	—	13	1	no	—
1343	C₄×D₄	—	13	1	no	—
1344	C₄×D₄	—	13	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	C₄×D₄	—	26	1	no	—
1355	C₄×D₄	—	26	1	no	—
1356	C₄×D₄	—	26	1	no	—
1357	C₄×D₄	—	26	1	no	—
1358	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1359	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1360	#117	—	13	1	no	—
1361	#117	—	13	1	no	—
1362	#117	—	13	1	no	—
1363	#117	—	13	1	no	—
1364	#117	—	26	1	no	—
1365	#117	—	26	1	no	—
1366	#117	—	26	1	no	—
1367	#117	—	26	1	no	—
1368	C₂×C₄⋊C₄	—	13	1	no	—
1369	C₂×C₄⋊C₄	—	13	1	no	—
1370	C₂×C₂²⋊C₄	—	2	1	no	—
1371	C₂×C₂²⋊C₄	—	26	1	no	—
1372	C₂×C₂²⋊C₄	—	26	1	no	—
1373	#107	—	13	1	no	—
1374	#107	—	13	1	no	—
1375	#107	—	13	1	no	—
1376	#107	—	13	1	no	—
1377	#106	—	13	1	no	—
1378	#106	—	13	1	no	—
1379	#106	—	13	1	no	—
1380	#106	C₂²×D₁₃	1	1	yes	characteristic
1381	C₄⋊C₈	—	13	1	no	—
1382	C₄⋊C₈	—	13	1	no	—
1383	C₄⋊C₈	—	13	1	no	—
1384	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1385	#103	—	13	1	no	—
1386	#103	—	13	1	no	—
1387	#103	—	13	1	no	—
1388	#103	—	13	1	no	—
1389	#103	—	13	1	no	—
1390	#103	—	13	1	no	—
1391	#103	—	13	1	no	—
1392	#103	—	13	1	no	—
1393	#103	—	13	1	no	—
1394	#103	—	13	1	no	—
1395	#103	—	13	1	no	—
1396	#103	C₂²×D₁₃	1	1	yes	characteristic
1397	#103	C₂²×D₁₃	1	1	yes	characteristic
1398	#103	C₂²×D₁₃	1	1	yes	characteristic
1399	#102	—	13	1	no	—
1400	#102	—	13	1	no	—
1401	#102	—	13	1	no	—
1402	#102	—	13	1	no	—
1403	#102	—	13	1	no	—
1404	#102	—	13	1	no	—
1405	#102	—	13	1	no	—
1406	#102	—	13	1	no	—
1407	#102	—	13	1	no	—
1408	#102	—	13	1	no	—
1409	#102	—	13	1	no	—
1410	#102	—	13	1	no	—
1411	#102	—	13	1	no	—
1412	#102	—	13	1	no	—
1413	#102	—	13	1	no	—
1414	#102	C₂²×D₁₃	1	1	yes	characteristic
1415	#102	C₂²×D₁₃	1	1	yes	characteristic
1416	#102	C₂²×D₁₃	1	1	yes	characteristic
1417	C₂²⋊C₈	—	13	1	no	—
1418	C₂²⋊C₈	—	13	1	no	—
1419	C₂²⋊C₈	—	13	1	no	—
1420	C₂²⋊C₈	—	13	1	no	—
1421	C₂²⋊C₈	—	13	1	no	—
1422	C₂²⋊C₈	—	13	1	no	—
1423	C₂²⋊C₈	—	13	1	no	—
1424	C₂²⋊C₈	—	13	1	no	—
1425	C₂²⋊C₈	—	13	1	no	—
1426	C₂²⋊C₈	—	13	1	no	—
1427	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1428	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1429	#97	—	13	1	no	—
1430	#97	—	13	1	no	—
1431	C₄×C₈	—	13	1	no	—
1432	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1433	C₂×C₁₃	—	4	1	no	—
1434	C₂×C₁₃	—	4	1	no	—
1435	C₂×C₁₃	—	8	1	no	—
1436	C₂×C₁₃	—	8	1	no	—
1437	C₂×C₁₃	—	8	1	no	—
1438	C₂×C₁₃	#3484	1	1	yes	characteristic
1439	C₂×C₁₃	#3584	1	1	yes	characteristic
1440	C₂×C₁₃	#3585	1	1	yes	characteristic
1441	D₁₃	—	4	1	no	—
1442	D₁₃	—	4	1	no	—
1443	D₁₃	—	4	1	no	—
1444	D₁₃	—	8	1	no	—
1445	D₁₃	—	8	1	no	—
1446	D₁₃	—	8	1	no	—
1447	C₂⁴	—	2	1	no	—
1448	C₂⁴	—	13	1	no	—
1449	C₂⁴	—	26	1	no	—
1450	C₂⁴	—	26	1	no	—
1451	#41	—	2	2	no	—
1452	#41	—	4	1	no	—
1453	#41	—	4	1	no	—
1454	#41	—	4	1	no	—
1455	#41	—	26	2	no	—
1456	#41	—	26	2	no	—
1457	#41	—	26	2	no	—
1458	#41	—	26	2	no	—
1459	#41	—	26	2	no	—
1460	#41	—	52	1	no	—
1461	#41	—	52	1	no	—
1462	#41	—	52	1	no	—
1463	#41	—	52	1	no	—
1464	#41	—	52	4	no	—
1465	#41	—	52	4	no	—
1466	#41	—	52	4	no	—
1467	#41	—	52	1	no	—
1468	#41	—	52	1	no	—
1469	#41	—	52	1	no	—
1470	#41	—	52	1	no	—
1471	#41	—	52	1	no	—
1472	#41	—	52	4	no	—
1473	#41	—	52	1	no	—
1474	#41	—	52	1	no	—
1475	#41	—	52	4	no	—
1476	#41	—	104	2	no	—
1477	C₂×Q₈	—	2	1	no	—
1478	C₂×Q₈	—	2	2	no	—
1479	C₂×Q₈	—	4	1	no	—
1480	C₂×Q₈	—	13	1	no	—
1481	C₂×Q₈	—	13	1	no	—
1482	C₂×Q₈	—	26	1	no	—
1483	C₂×Q₈	—	26	1	no	—
1484	C₂×Q₈	—	26	2	no	—
1485	C₂×Q₈	—	26	2	no	—
1486	C₂×Q₈	—	26	1	no	—
1487	C₂×Q₈	—	26	2	no	—
1488	C₂×Q₈	—	52	1	no	—
1489	C₂×Q₈	—	52	4	no	—
1490	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1491	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1492	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	4	1	no	—
1499	C₂×D₄	—	4	1	no	—
1500	C₂×D₄	—	13	1	no	—
1501	C₂×D₄	—	13	1	no	—
1502	C₂×D₄	—	13	1	no	—
1503	C₂×D₄	—	13	1	no	—
1504	C₂×D₄	—	13	1	no	—
1505	C₂×D₄	—	13	1	no	—
1506	C₂×D₄	—	13	1	no	—
1507	C₂×D₄	—	13	1	no	—
1508	C₂×D₄	—	13	1	no	—
1509	C₂×D₄	—	26	1	no	—
1510	C₂×D₄	—	26	1	no	—
1511	C₂×D₄	—	26	1	no	—
1512	C₂×D₄	—	26	1	no	—
1513	C₂×D₄	—	26	1	no	—
1514	C₂×D₄	—	26	1	no	—
1515	C₂×D₄	—	26	1	no	—
1516	C₂×D₄	—	26	1	no	—
1517	C₂×D₄	—	26	1	no	—
1518	C₂×D₄	—	26	1	no	—
1519	C₂×D₄	—	26	1	no	—
1520	C₂×D₄	—	26	1	no	—
1521	C₂×D₄	—	26	1	no	—
1522	C₂×D₄	—	26	1	no	—
1523	C₂×D₄	—	26	1	no	—
1524	C₂×D₄	—	26	1	no	—
1525	C₂×D₄	—	26	1	no	—
1526	C₂×D₄	—	26	1	no	—
1527	C₂×D₄	—	26	1	no	—
1528	C₂×D₄	—	26	1	no	—
1529	C₂×D₄	—	26	1	no	—
1530	C₂×D₄	—	26	1	no	—
1531	C₂×D₄	—	26	1	no	—
1532	C₂×D₄	—	26	1	no	—
1533	C₂×D₄	—	26	1	no	—
1534	C₂×D₄	—	26	1	no	—
1535	C₂×D₄	—	26	1	no	—
1536	C₂×D₄	—	26	1	no	—
1537	C₂×D₄	—	52	1	no	—
1538	C₂×D₄	—	52	1	no	—
1539	C₂×D₄	—	52	1	no	—
1540	C₂×D₄	—	52	1	no	—
1541	C₂×D₄	—	52	4	no	—
1542	C₂×D₄	—	104	2	no	—
1543	C₂×D₄	—	104	2	no	—
1544	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1545	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1546	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1547	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1548	C₂²×C₄	—	2	1	no	—
1549	C₂²×C₄	—	2	1	no	—
1550	C₂²×C₄	—	2	1	no	—
1551	C₂²×C₄	—	2	1	no	—
1552	C₂²×C₄	—	13	1	no	—
1553	C₂²×C₄	—	13	1	no	—
1554	C₂²×C₄	—	13	1	no	—
1555	C₂²×C₄	—	13	1	no	—
1556	C₂²×C₄	—	13	1	no	—
1557	C₂²×C₄	—	13	1	no	—
1558	C₂²×C₄	—	26	1	no	—
1559	C₂²×C₄	—	26	1	no	—
1560	C₂²×C₄	—	26	1	no	—
1561	C₂²×C₄	—	26	1	no	—
1562	C₂²×C₄	—	26	1	no	—
1563	C₂²×C₄	—	26	1	no	—
1564	C₂²×C₄	—	26	1	no	—
1565	C₂²×C₄	—	26	1	no	—
1566	C₂²×C₄	—	26	1	no	—
1567	C₂²×C₄	—	26	1	no	—
1568	C₂²×C₄	—	26	1	no	—
1569	C₂²×C₄	—	26	1	no	—
1570	C₂²×C₄	—	26	1	no	—
1571	C₂²×C₄	—	52	1	no	—
1572	C₂²×C₄	—	52	1	no	—
1573	C₂²×C₄	—	52	4	no	—
1574	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1575	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1576	Q₁₆	—	2	2	no	—
1577	Q₁₆	—	4	1	no	—
1578	Q₁₆	—	26	2	no	—
1579	SD₁₆	—	2	2	no	—
1580	SD₁₆	—	2	2	no	—
1581	SD₁₆	—	4	1	no	—
1582	SD₁₆	—	4	1	no	—
1583	SD₁₆	—	4	1	no	—
1584	SD₁₆	—	26	2	no	—
1585	SD₁₆	—	26	2	no	—
1586	SD₁₆	—	26	2	no	—
1587	SD₁₆	—	26	2	no	—
1588	SD₁₆	—	52	1	no	—
1589	SD₁₆	—	52	1	no	—
1590	SD₁₆	—	52	1	no	—
1591	D₈	—	4	1	no	—
1592	D₈	—	4	1	no	—
1593	D₈	—	52	1	no	—
1594	D₈	—	52	1	no	—
1595	D₈	—	52	1	no	—
1596	D₈	—	52	1	no	—
1597	D₈	—	52	1	no	—
1598	D₈	—	52	1	no	—
1599	D₈	—	52	1	no	—
1600	M₁₆	—	52	1	no	—
1601	M₁₆	—	52	1	no	—
1602	M₁₆	—	52	1	no	—
1603	M₁₆	—	52	1	no	—
1604	C₂×C₈	—	4	1	no	—
1605	C₂×C₈	—	4	1	no	—
1606	C₂×C₈	—	13	1	no	—
1607	C₂×C₈	—	13	1	no	—
1608	C₂×C₈	—	13	1	no	—
1609	C₂×C₈	—	13	1	no	—
1610	C₂×C₈	—	52	1	no	—
1611	C₂×C₈	—	52	1	no	—
1612	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1613	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1614	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1615	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	—	2	1	no	—
1618	C₄⋊C₄	—	2	1	no	—
1619	C₄⋊C₄	—	13	1	no	—
1620	C₄⋊C₄	—	13	1	no	—
1621	C₄⋊C₄	—	13	1	no	—
1622	C₄⋊C₄	—	13	1	no	—
1623	C₄⋊C₄	—	13	1	no	—
1624	C₄⋊C₄	—	13	1	no	—
1625	C₄⋊C₄	—	13	1	no	—
1626	C₄⋊C₄	—	13	1	no	—
1627	C₄⋊C₄	—	13	1	no	—
1628	C₄⋊C₄	—	26	1	no	—
1629	C₄⋊C₄	—	26	1	no	—
1630	C₄⋊C₄	—	26	1	no	—
1631	C₄⋊C₄	—	26	1	no	—
1632	C₄⋊C₄	—	26	1	no	—
1633	C₄⋊C₄	—	26	1	no	—
1634	C₄⋊C₄	—	26	1	no	—
1635	C₄⋊C₄	—	26	1	no	—
1636	C₄⋊C₄	—	26	1	no	—
1637	C₄⋊C₄	—	26	1	no	—
1638	C₄⋊C₄	—	26	1	no	—
1639	C₄⋊C₄	—	26	1	no	—
1640	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1641	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1642	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	2	1	no	—
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	2	1	no	—
1651	C₂²⋊C₄	—	2	1	no	—
1652	C₂²⋊C₄	—	13	1	no	—
1653	C₂²⋊C₄	—	13	1	no	—
1654	C₂²⋊C₄	—	13	1	no	—
1655	C₂²⋊C₄	—	13	1	no	—
1656	C₂²⋊C₄	—	13	1	no	—
1657	C₂²⋊C₄	—	13	1	no	—
1658	C₂²⋊C₄	—	13	1	no	—
1659	C₂²⋊C₄	—	13	1	no	—
1660	C₂²⋊C₄	—	26	1	no	—
1661	C₂²⋊C₄	—	26	1	no	—
1662	C₂²⋊C₄	—	26	1	no	—
1663	C₂²⋊C₄	—	26	1	no	—
1664	C₂²⋊C₄	—	26	1	no	—
1665	C₂²⋊C₄	—	26	1	no	—
1666	C₂²⋊C₄	—	26	1	no	—
1667	C₂²⋊C₄	—	26	1	no	—
1668	C₂²⋊C₄	—	26	1	no	—
1669	C₂²⋊C₄	—	26	1	no	—
1670	C₂²⋊C₄	—	26	1	no	—
1671	C₂²⋊C₄	—	26	1	no	—
1672	C₂²⋊C₄	—	26	1	no	—
1673	C₂²⋊C₄	—	26	1	no	—
1674	C₂²⋊C₄	—	26	1	no	—
1675	C₂²⋊C₄	—	26	1	no	—
1676	C₂²⋊C₄	—	26	1	no	—
1677	C₂²⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1684	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1685	C₄²	—	2	1	no	—
1686	C₄²	—	13	1	no	—
1687	C₄²	—	26	1	no	—
1688	C₄²	—	26	1	no	—
1689	C₄²	—	26	1	no	—
1690	C₄²	—	26	1	no	—
1691	C₄²	—	26	1	no	—
1692	C₄²	—	26	1	no	—
1693	C₄²	—	26	1	no	—
1694	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1695	C₁₃	#61616	1	1	yes	characteristic, complemented, Sylow
1696	C₂³	—	2	1	no	—
1697	C₂³	—	2	1	no	—
1698	C₂³	—	2	1	no	—
1699	C₂³	—	8	1	no	—
1700	C₂³	—	8	1	no	—
1701	C₂³	—	8	1	no	—
1702	C₂³	—	13	1	no	—
1703	C₂³	—	13	1	no	—
1704	C₂³	—	13	1	no	—
1705	C₂³	—	26	1	no	—
1706	C₂³	—	26	1	no	—
1707	C₂³	—	26	1	no	—
1708	C₂³	—	52	1	no	—
1709	C₂³	—	52	1	no	—
1710	C₂³	—	52	1	no	—
1711	C₂³	—	52	2	no	—
1712	C₂³	—	52	2	no	—
1713	C₂³	—	104	1	no	—
1714	C₂³	—	104	1	no	—
1715	C₂³	—	104	1	no	—
1716	C₂³	—	104	1	no	—
1717	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1718	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1719	Q₈	—	2	1	no	—
1720	Q₈	—	2	1	no	—
1721	Q₈	—	2	1	no	—
1722	Q₈	—	2	1	no	—
1723	Q₈	—	2	1	no	—
1724	Q₈	—	4	2	no	—
1725	Q₈	—	13	2	no	—
1726	Q₈	—	26	4	no	—
1727	Q₈	—	26	1	no	—
1728	Q₈	—	52	1	no	—
1729	Q₈	—	52	2	no	—
1730	Q₈	—	104	1	no	—
1731	Q₈	#88251	1	2	yes	—
1732	D₄	—	2	1	no	—
1733	D₄	—	2	1	no	—
1734	D₄	—	2	1	no	—
1735	D₄	—	2	1	no	—
1736	D₄	—	2	1	no	—
1737	D₄	—	2	1	no	—
1738	D₄	—	4	1	no	—
1739	D₄	—	4	2	no	—
1740	D₄	—	8	1	no	—
1741	D₄	—	8	1	no	—
1742	D₄	—	8	1	no	—
1743	D₄	—	8	1	no	—
1744	D₄	—	26	1	no	—
1745	D₄	—	26	1	no	—
1746	D₄	—	26	1	no	—
1747	D₄	—	26	1	no	—
1748	D₄	—	26	1	no	—
1749	D₄	—	26	1	no	—
1750	D₄	—	52	1	no	—
1751	D₄	—	52	1	no	—
1752	D₄	—	52	2	no	—
1753	D₄	—	52	2	no	—
1754	D₄	—	52	2	no	—
1755	D₄	—	52	1	no	—
1756	D₄	—	52	1	no	—
1757	D₄	—	52	1	no	—
1758	D₄	—	52	1	no	—
1759	D₄	—	52	2	no	—
1760	D₄	—	52	2	no	—
1761	D₄	—	52	2	no	—
1762	D₄	—	52	2	no	—
1763	D₄	—	52	2	no	—
1764	D₄	—	104	1	no	—
1765	D₄	—	104	1	no	—
1766	D₄	—	104	1	no	—
1767	D₄	—	104	1	no	—
1768	D₄	—	104	1	no	—
1769	D₄	—	104	1	no	—
1770	D₄	—	104	1	no	—
1771	D₄	—	104	1	no	—
1772	D₄	—	104	1	no	—
1773	D₄	—	104	1	no	—
1774	D₄	—	104	1	no	—
1775	D₄	—	104	1	no	—
1776	D₄	—	104	1	no	—
1777	D₄	—	104	1	no	—
1778	D₄	—	104	1	no	—
1779	D₄	—	104	1	no	—
1780	D₄	—	104	1	no	—
1781	D₄	—	104	1	no	—
1782	D₄	—	104	1	no	—
1783	D₄	—	104	1	no	—
1784	C₂×C₄	—	2	1	no	—
1785	C₂×C₄	—	2	1	no	—
1786	C₂×C₄	—	2	1	no	—
1787	C₂×C₄	—	2	1	no	—
1788	C₂×C₄	—	2	1	no	—
1789	C₂×C₄	—	2	1	no	—
1790	C₂×C₄	—	2	1	no	—
1791	C₂×C₄	—	2	1	no	—
1792	C₂×C₄	—	2	1	no	—
1793	C₂×C₄	—	4	2	no	—
1794	C₂×C₄	—	4	2	no	—
1795	C₂×C₄	—	8	1	no	—
1796	C₂×C₄	—	8	1	no	—
1797	C₂×C₄	—	13	1	no	—
1798	C₂×C₄	—	13	1	no	—
1799	C₂×C₄	—	13	1	no	—
1800	C₂×C₄	—	13	1	no	—
1801	C₂×C₄	—	13	1	no	—
1802	C₂×C₄	—	26	4	no	—
1803	C₂×C₄	—	26	1	no	—
1804	C₂×C₄	—	26	1	no	—
1805	C₂×C₄	—	26	1	no	—
1806	C₂×C₄	—	26	1	no	—
1807	C₂×C₄	—	26	1	no	—
1808	C₂×C₄	—	26	1	no	—
1809	C₂×C₄	—	26	1	no	—
1810	C₂×C₄	—	26	1	no	—
1811	C₂×C₄	—	26	1	no	—
1812	C₂×C₄	—	26	1	no	—
1813	C₂×C₄	—	26	1	no	—
1814	C₂×C₄	—	52	1	no	—
1815	C₂×C₄	—	52	1	no	—
1816	C₂×C₄	—	52	2	no	—
1817	C₂×C₄	—	52	2	no	—
1818	C₂×C₄	—	52	2	no	—
1819	C₂×C₄	—	52	2	no	—
1820	C₂×C₄	—	52	2	no	—
1821	C₂×C₄	—	52	2	no	—
1822	C₂×C₄	—	52	2	no	—
1823	C₂×C₄	—	52	1	no	—
1824	C₂×C₄	—	52	2	no	—
1825	C₂×C₄	—	104	1	no	—
1826	C₂×C₄	—	104	1	no	—
1827	C₂×C₄	—	104	1	no	—
1828	C₂×C₄	—	104	1	no	—
1829	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1830	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1831	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1832	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1833	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1834	C₈	—	2	1	no	—
1835	C₈	—	2	1	no	—
1836	C₈	—	2	1	no	—
1837	C₈	—	2	1	no	—
1838	C₈	—	26	1	no	—
1839	C₈	—	26	1	no	—
1840	C₈	—	26	1	no	—
1841	C₈	—	26	1	no	—
1842	C₂²	—	2	1	no	—
1843	C₂²	—	2	1	no	—
1844	C₂²	—	2	1	no	—
1845	C₂²	—	2	1	no	—
1846	C₂²	—	2	1	no	—
1847	C₂²	—	2	1	no	—
1848	C₂²	—	4	1	no	—
1849	C₂²	—	4	1	no	—
1850	C₂²	—	4	1	no	—
1851	C₂²	—	4	1	no	—
1852	C₂²	—	4	1	no	—
1853	C₂²	—	4	1	no	—
1854	C₂²	—	4	1	no	—
1855	C₂²	—	4	1	no	—
1856	C₂²	—	4	1	no	—
1857	C₂²	—	16	2	no	—
1858	C₂²	—	26	1	no	—
1859	C₂²	—	26	1	no	—
1860	C₂²	—	26	1	no	—
1861	C₂²	—	26	1	no	—
1862	C₂²	—	26	1	no	—
1863	C₂²	—	26	1	no	—
1864	C₂²	—	26	1	no	—
1865	C₂²	—	26	1	no	—
1866	C₂²	—	26	1	no	—
1867	C₂²	—	52	1	no	—
1868	C₂²	—	52	1	no	—
1869	C₂²	—	52	1	no	—
1870	C₂²	—	52	1	no	—
1871	C₂²	—	52	1	no	—
1872	C₂²	—	52	1	no	—
1873	C₂²	—	52	1	no	—
1874	C₂²	—	52	1	no	—
1875	C₂²	—	52	1	no	—
1876	C₂²	—	104	2	no	—
1877	C₂²	—	104	4	no	—
1878	C₂²	—	208	2	no	—
1879	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1880	C₄	—	2	1	no	—
1881	C₄	—	2	1	no	—
1882	C₄	—	2	2	no	—
1883	C₄	—	2	1	no	—
1884	C₄	—	2	1	no	—
1885	C₄	—	4	1	no	—
1886	C₄	—	4	1	no	—
1887	C₄	—	4	1	no	—
1888	C₄	—	4	1	no	—
1889	C₄	—	26	1	no	—
1890	C₄	—	26	1	no	—
1891	C₄	—	26	1	no	—
1892	C₄	—	26	2	no	—
1893	C₄	—	26	1	no	—
1894	C₄	—	26	1	no	—
1895	C₄	—	52	1	no	—
1896	C₄	—	52	1	no	—
1897	C₄	—	52	1	no	—
1898	C₄	—	52	1	no	—
1899	C₄	C₂×#88251	1	1	yes	characteristic
1900	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1901	C₂	—	4	1	no	—
1902	C₂	—	4	1	no	—
1903	C₂	—	8	1	no	—
1904	C₂	—	8	1	no	—
1905	C₂	—	8	1	no	—
1906	C₂	—	52	1	no	—
1907	C₂	—	52	1	no	—
1908	C₂	—	52	1	no	—
1909	C₂	—	104	1	no	—
1910	C₂	—	104	1	no	—
1911	C₂	—	104	1	no	—
1912	C₂	#13128464	1	1	yes	characteristic
1913	C₂	#13129605	1	1	yes	characteristic
1914	C₂	#13129614	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×#3282	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3282	D₁₃
hypocenter	C₁₃	#61616
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3282

Complements

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

N	H ≅ G/N	type
1. #13129150	C₂	semidirect
2. #13128493	C₂	semidirect
3. #13127165	C₂	semidirect
4. #13127108	C₂	semidirect
5. #13127022	C₂	semidirect
6. #13126968	C₂	semidirect
7. #13126846	C₂	semidirect
8. #13126834	C₂	semidirect
9. #13126787	C₂	semidirect
10. #13126733	C₂	semidirect
11. #13126590	C₂	semidirect
12. #13126466	C₂	semidirect
13. #13126454	C₂	semidirect
14. #13126425	C₂	semidirect
15. #13126372	C₂	semidirect
16. #13126371	C₂	semidirect
17. #13126331	C₂	semidirect
18. #13125923	C₂	semidirect
19. #13125883	C₂	semidirect
20. #13125699	C₂	semidirect
21. #13125691	C₂	semidirect
22. #13125677	C₂	semidirect
23. #13125602	C₂	semidirect
24. #13125124	C₂	semidirect
25. #13125064	C₂	semidirect
26. #13124152	C₂	semidirect
27. #13124118	C₂	semidirect
28. #13124085	C₂	semidirect
29. #13124050	C₂	semidirect
30. #13123878	C₂	semidirect
31. C₁₃×#3282	C₂	semidirect
32. C₂×#41×D₁₃	C₂²	semidirect
33. C₂×#88254	C₂²	semidirect
34. C₂×C₁₃×#135	C₂²	semidirect
35. C₂²×C₁₃×SD₁₆	C₂²	semidirect
36. C₁₃×#548	C₂²	semidirect
37. C₁₃×#546	C₂²	semidirect
38. #11719539	C₂²	semidirect
39. #11719539	C₂²	semidirect
41. C₂×#88204	C₂²	semidirect
44. D₄×C₂²⋊D₁₃	C₂²	semidirect
45. C₂×#88186	C₂²	semidirect
46. C₂×#88173	C₂²	semidirect
47. C₂×#88172	C₂²	semidirect
52. #11719382	C₂²	semidirect
53. #11719381	C₂²	semidirect
55. #11719379	C₂²	semidirect
58. #11719344	C₂²	semidirect
60. #11719338	C₂²	semidirect
63. #11719332	C₂²	semidirect
65. #11719319	C₂²	semidirect
68. #11719312	C₂²	semidirect
74. #11719282	C₂²	semidirect
75. #11719277	C₂²	semidirect
76. #11719268	C₂²	semidirect
79. #11719258	C₂²	semidirect
80. #11719256	C₂²	semidirect
85. C₁₃×#495	C₂²	semidirect
86. C₁₃×#465	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
89. C₁₃×#463	C₂²	semidirect
90. C₁₃×#452	C₂²	semidirect
91. C₁₃×#451	C₂²	semidirect
93. C₁₃×#447	C₂²	semidirect
94. C₄×C₁₃×SD₁₆	C₂²	semidirect
95. C₈×D₄×C₁₃	C₂²	semidirect
96. #11718899	C₂²	semidirect
97. #11718899	C₂²	semidirect
98. #11718894	C₂²	semidirect
99. #11718888	C₂²	semidirect
100. #11718886	C₂²	semidirect
101. #11718878	C₂²	semidirect
102. #11718850	C₂²	semidirect
103. #11718848	C₂²	semidirect
104. #11718848	C₂²	semidirect
105. #11718847	C₂²	semidirect
106. #11718846	C₂²	semidirect
107. Q₁₆×Dic₁₃	C₂²	semidirect
108. #11718837	C₂²	semidirect
109. #11718835	C₂²	semidirect
110. #11718834	C₂²	semidirect
113. #11718833	C₂²	semidirect
114. #11718833	C₂²	semidirect
115. #11718833	C₂²	semidirect
116. #11718833	C₂²	semidirect
118. #11718831	C₂²	semidirect
119. #11718831	C₂²	semidirect
120. #11718831	C₂²	semidirect
121. #11718830	C₂²	semidirect
122. #11718830	C₂²	semidirect
123. #11718826	C₂²	semidirect
124. #11718825	C₂²	semidirect
125. #11718824	C₂²	semidirect
126. #11718824	C₂²	semidirect
127. #11718820	C₂²	semidirect
129. #11718818	C₂²	semidirect
131. #11718817	C₂²	semidirect
132. #11718812	C₂²	semidirect
133. #11718811	C₂²	semidirect
134. #11718776	C₂²	semidirect
135. #11718776	C₂²	semidirect
136. #11718774	C₂²	semidirect
137. #11718774	C₂²	semidirect
138. #11718772	C₂²	semidirect
139. #11718771	C₂²	semidirect
140. C₈×C₂²⋊D₁₃	C₂²	semidirect
141. C₂×#88060	C₂²	semidirect
142. #11718719	C₂²	semidirect
143. #11718718	C₂²	semidirect
144. #11718716	C₂²	semidirect
145. #11718715	C₂²	semidirect
146. #11718710	C₂²	semidirect
147. #11718709	C₂²	semidirect
148. #11718708	C₂²	semidirect
149. #11718706	C₂²	semidirect
150. #11718700	C₂²	semidirect
151. #11718699	C₂²	semidirect
153. #11718696	C₂²	semidirect
154. #11718687	C₂²	semidirect
155. #11718681	C₂²	semidirect
156. #11718679	C₂²	semidirect
157. #11718676	C₂²	semidirect
158. #11718672	C₂²	semidirect
159. #11718527	C₂²	semidirect
160. #11718524	C₂²	semidirect
161. #11718524	C₂²	semidirect
162. #11718518	C₂²	semidirect
163. #11718511	C₂²	semidirect
164. #11718504	C₂²	semidirect
165. #11718501	C₂²	semidirect
166. #11718497	C₂²	semidirect
167. #11718475	C₂²	semidirect
168. #11718473	C₂²	semidirect
169. #11718472	C₂²	semidirect
170. #11718472	C₂²	semidirect
171. #11718470	C₂²	semidirect
172. #11718467	C₂²	semidirect
173. #11718464	C₂²	semidirect
174. #11718464	C₂²	semidirect
175. D₁₃×#103	C₂²	semidirect
176. #11718461	C₂²	semidirect
177. #11718460	C₂²	semidirect
178. #11718450	C₂²	semidirect
180. #11718443	C₂²	semidirect
181. #11718443	C₂²	semidirect
182. #11718440	C₂²	semidirect
183. #11718436	C₂²	semidirect
184. #11718435	C₂²	semidirect
185. #11718434	C₂²	semidirect
186. #11718434	C₂²	semidirect
187. #11718432	C₂²	semidirect
188. #11718425	C₂²	semidirect
189. #11718423	C₂²	semidirect
190. #11718419	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718398	C₂²	semidirect
193. #11718395	C₂²	semidirect
194. #11718395	C₂²	semidirect
195. #11718391	C₂²	semidirect
196. #11718390	C₂²	semidirect
197. #11718388	C₂²	semidirect
198. #11718387	C₂²	semidirect
199. #11718355	C₂²	semidirect
200. C₄×#6095	C₂²	semidirect
201. #11718351	C₂²	semidirect
202. #11718349	C₂²	semidirect
750. #3282	D₁₃	semidirect
924. C₂×#135	C₂×D₁₃	semidirect
925. C₂²×SD₁₆	C₂×D₁₃	semidirect
944. #548	C₂×D₁₃	semidirect
948. #546	C₂×D₁₃	semidirect
971. #495	C₂×D₁₃	semidirect
1007. #465	C₂×D₁₃	semidirect
1008. #465	C₂×D₁₃	semidirect
1011. #464	C₂×D₁₃	semidirect
1014. #463	C₂×D₁₃	semidirect
1025. #452	C₂×D₁₃	semidirect
1027. #451	C₂×D₁₃	semidirect
1056. #447	C₂×D₁₃	semidirect
1064. C₄×SD₁₆	C₂×D₁₃	semidirect
1072. C₈×D₄	C₂×D₁₃	semidirect
1695. C₁₃	#61616	semidirect

Maximal subgroups

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

subgroup	index
#13129150	2
#13128493	2
#13127165	2
#13127108	2
#13127022	2
#13126968	2
#13126846	2
#13126834	2
#13126787	2
#13126733	2
#13126590	2
#13126466	2
#13126454	2
#13126425	2
#13126372	2
#13126371	2
#13126331	2
#13125923	2
#13125883	2
#13125699	2
#13125691	2
#13125677	2
#13125602	2
#13125124	2
#13125064	2
#13124152	2
#13124118	2
#13124085	2
#13124050	2
#13123878	2
C₁₃×#3282	2
#61616	13