Subgroups — #16749540

Order 3328.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1900 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129138	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128515	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127142	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127132	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127097	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127032	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127011	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126999	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126927	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126827	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126496	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126445	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126434	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126369	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126357	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126341	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126325	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125938	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125894	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125735	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125683	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125667	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125639	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125097	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125041	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124150	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124117	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124084	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124079	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123893	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3275	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×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
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
39	#11719538	C₂²	1	1	yes	characteristic, complemented
40	#11719536	C₂²	1	1	yes	characteristic
41	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
42	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
43	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88192	C₂²	1	1	yes	characteristic
45	C₂×#88186	C₂²	1	1	yes	characteristic
46	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
49	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
50	#11719387	C₂²	1	1	yes	characteristic, complemented
51	#11719381	—	2	1	no	—
52	#11719381	C₂²	1	1	yes	characteristic
53	#11719381	C₂²	1	1	yes	characteristic, complemented
54	#11719380	—	2	1	no	—
55	#11719380	C₂²	1	1	yes	characteristic, complemented
56	#11719372	—	2	1	no	—
57	#11719362	—	2	1	no	—
58	#11719347	C₂²	1	1	yes	characteristic, complemented
59	#11719336	—	2	1	no	—
60	#11719336	C₂²	1	1	yes	characteristic
61	#11719332	C₂²	1	1	yes	characteristic
62	D₁₃×C₂²⋊Q₈	—	2	1	no	—
63	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
64	#11719325	—	2	1	no	—
65	#11719324	—	2	1	no	—
66	#11719323	C₂²	1	1	yes	characteristic
67	#11719317	—	2	1	no	—
68	#11719317	C₂²	1	1	yes	characteristic, complemented
69	#11719313	—	2	1	no	—
70	#11719313	C₂²	1	1	yes	characteristic, complemented
71	#11719312	C₂²	1	1	yes	characteristic, complemented
72	#11719297	—	2	1	no	—
73	#11719296	—	2	1	no	—
74	Q₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
75	#11719279	C₂²	1	1	yes	characteristic, complemented
76	#11719268	C₂²	1	1	yes	characteristic
77	#11719267	C₂²	1	1	yes	characteristic, complemented
78	#11719260	C₂²	1	1	yes	characteristic, complemented
79	#11719256	—	2	1	no	—
80	#11719256	C₂²	1	1	yes	characteristic, complemented
81	#11719252	—	2	1	no	—
82	#11719252	C₂²	1	1	yes	characteristic
83	#11719200	—	2	1	no	—
84	#11719198	—	2	1	no	—
85	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#469	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×#450	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
96	#11718900	C₂²	1	1	yes	characteristic, complemented
97	#11718899	C₂²	1	1	yes	characteristic
98	#11718893	C₂²	1	1	yes	characteristic, complemented
99	#11718888	C₂²	1	1	yes	characteristic, complemented
100	C₂×#88075	C₂²	1	1	yes	characteristic, complemented
101	#11718879	C₂²	1	1	yes	characteristic, complemented
102	#11718848	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	#11718847	C₂²	1	1	yes	characteristic, complemented
107	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718843	C₂²	1	1	yes	characteristic, complemented
109	#11718836	C₂²	1	1	yes	characteristic, complemented
110	#11718835	C₂²	1	1	yes	characteristic
111	#11718835	C₂²	1	1	yes	characteristic, complemented
112	#11718835	C₂²	1	1	yes	characteristic, complemented
113	#11718834	C₂²	1	1	yes	characteristic, complemented
114	#11718833	C₂²	1	1	yes	characteristic
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	#11718831	C₂²	1	1	yes	characteristic, complemented
122	#11718827	C₂²	1	1	yes	characteristic, complemented
123	#11718825	C₂²	1	1	yes	characteristic, complemented
124	#11718824	C₂²	1	1	yes	characteristic, complemented
125	#11718823	C₂²	1	1	yes	characteristic, complemented
126	#11718819	C₂²	1	1	yes	characteristic
127	#11718819	C₂²	1	1	yes	characteristic, complemented
128	#11718818	C₂²	1	1	yes	characteristic, complemented
129	#11718817	C₂²	1	1	yes	characteristic
130	#11718817	C₂²	1	1	yes	characteristic, complemented
131	#11718817	C₂²	1	1	yes	characteristic, complemented
132	#11718815	C₂²	1	1	yes	characteristic, complemented
133	#11718814	C₂²	1	1	yes	characteristic, complemented
134	#11718795	C₂²	1	1	yes	characteristic, complemented
135	#11718795	C₂²	1	1	yes	characteristic, complemented
136	#11718794	C₂²	1	1	yes	characteristic, complemented
137	#11718794	C₂²	1	1	yes	characteristic, complemented
138	#11718790	C₂²	1	1	yes	characteristic, complemented
139	#11718789	C₂²	1	1	yes	characteristic, complemented
140	#11718788	C₂²	1	1	yes	characteristic, complemented
141	#11718787	C₂²	1	1	yes	characteristic, complemented
142	#11718721	C₂²	1	1	yes	characteristic, complemented
143	#11718718	C₂²	1	1	yes	characteristic, complemented
144	#11718718	C₂²	1	1	yes	characteristic, complemented
145	#11718716	C₂²	1	1	yes	characteristic, complemented
146	#11718713	C₂²	1	1	yes	characteristic, complemented
147	#11718710	C₂²	1	1	yes	characteristic, complemented
148	#11718708	C₂²	1	1	yes	characteristic, complemented
149	#11718705	C₂²	1	1	yes	characteristic, complemented
150	#11718702	C₂²	1	1	yes	characteristic, complemented
151	#11718699	C₂²	1	1	yes	characteristic, complemented
152	#11718698	C₂²	1	1	yes	characteristic, complemented
153	#11718694	C₂²	1	1	yes	characteristic, complemented
154	#11718687	C₂²	1	1	yes	characteristic, complemented
155	#11718682	C₂²	1	1	yes	characteristic, complemented
156	#11718680	C₂²	1	1	yes	characteristic, complemented
157	#11718675	C₂²	1	1	yes	characteristic, complemented
158	#11718672	C₂²	1	1	yes	characteristic, complemented
159	#11718532	C₂²	1	1	yes	characteristic, complemented
160	#11718528	C₂²	1	1	yes	characteristic, complemented
161	#11718528	C₂²	1	1	yes	characteristic, complemented
162	#11718524	C₂²	1	1	yes	characteristic, complemented
163	#11718507	C₂²	1	1	yes	characteristic, complemented
164	#11718502	C₂²	1	1	yes	characteristic, complemented
165	#11718501	C₂²	1	1	yes	characteristic, complemented
166	#11718497	C₂²	1	1	yes	characteristic, complemented
167	#11718478	C₂²	1	1	yes	characteristic, complemented
168	#11718475	C₂²	1	1	yes	characteristic, complemented
169	#11718474	C₂²	1	1	yes	characteristic, complemented
170	#11718472	C₂²	1	1	yes	characteristic, complemented
171	#11718471	C₂²	1	1	yes	characteristic, complemented
172	#11718470	C₂²	1	1	yes	characteristic, complemented
173	#11718467	C₂²	1	1	yes	characteristic, complemented
174	#11718465	C₂²	1	1	yes	characteristic, complemented
175	#11718463	C₂²	1	1	yes	characteristic, complemented
176	#11718463	C₂²	1	1	yes	characteristic, complemented
177	#11718458	C₂²	1	1	yes	characteristic, complemented
178	#11718457	C₂²	1	1	yes	characteristic, complemented
179	#11718447	C₂²	1	1	yes	characteristic, complemented
180	#11718445	C₂²	1	1	yes	characteristic, complemented
181	#11718442	C₂²	1	1	yes	characteristic, complemented
182	#11718441	C₂²	1	1	yes	characteristic
183	#11718441	C₂²	1	1	yes	characteristic, complemented
184	#11718441	C₂²	1	1	yes	characteristic, complemented
185	#11718437	C₂²	1	1	yes	characteristic, complemented
186	#11718435	C₂²	1	1	yes	characteristic, complemented
187	#11718435	C₂²	1	1	yes	characteristic, complemented
188	#11718431	C₂²	1	1	yes	characteristic, complemented
189	#11718429	C₂²	1	1	yes	characteristic, complemented
190	#11718417	C₂²	1	1	yes	characteristic, complemented
191	#11718395	C₂²	1	1	yes	characteristic
192	#11718395	C₂²	1	1	yes	characteristic, complemented
193	#11718391	C₂²	1	1	yes	characteristic, complemented
194	#11718390	C₂²	1	1	yes	characteristic, complemented
195	#11718388	C₂²	1	1	yes	characteristic, complemented
196	#11718387	C₂²	1	1	yes	characteristic, complemented
197	#11718383	C₂²	1	1	yes	characteristic, complemented
198	#11718383	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
200	#11718351	C₂²	1	1	yes	characteristic, complemented
201	#11718349	C₂²	1	1	yes	characteristic, complemented
202	#11718342	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	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	#41×D₁₃	—	4	2	no	—
210	#41×D₁₃	—	4	2	no	—
211	#88254	—	4	2	no	—
212	#88254	—	4	2	no	—
213	C₂×#6131	—	2	1	no	—
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×Q₈×D₁₃	C₂³	1	1	yes	characteristic
221	C₂×#6129	—	2	1	no	—
222	C₂×#6129	—	2	1	no	—
223	C₂×#6129	C₂³	1	1	yes	characteristic
224	C₂×D₄×D₁₃	—	2	1	no	—
225	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
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×#137	—	4	2	no	—
236	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
237	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
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	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×M₁₆	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	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
267	#88204	—	4	2	no	—
268	#88200	—	2	1	no	—
269	#88200	C₂³	1	1	yes	characteristic
270	#88200	C₂³	1	1	yes	characteristic
271	#88200	C₂³	1	1	yes	characteristic
272	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
273	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
274	#88198	—	2	1	no	—
275	#88198	C₂³	1	1	yes	characteristic
276	C₂×#6107	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	#88194	—	2	1	no	—
282	#88194	—	2	1	no	—
283	#88194	C₂³	1	1	yes	characteristic
284	#88193	—	2	1	no	—
285	#88193	—	2	1	no	—
286	#88193	—	2	1	no	—
287	#88193	—	2	1	no	—
288	#88193	—	2	1	no	—
289	#88193	D₄	1	1	yes	characteristic
290	#88192	—	2	1	no	—
291	#88192	—	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	#88192	C₂³	1	1	yes	characteristic
302	#88192	C₂³	1	1	yes	characteristic
303	#88191	—	2	1	no	—
304	#88191	—	2	1	no	—
305	#88191	—	2	1	no	—
306	#88191	D₄	1	1	yes	characteristic
307	#88190	—	2	1	no	—
308	#88190	C₂³	1	1	yes	characteristic
309	D₄×Dic₁₃	—	2	1	no	—
310	D₄×Dic₁₃	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	C₂×#6105	C₂³	1	1	yes	characteristic
315	#88186	—	4	2	no	—
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	#88184	—	2	1	no	—
320	#88184	—	2	1	no	—
321	#88184	—	2	1	no	—
322	#88184	—	2	1	no	—
323	#88184	C₂³	1	1	yes	characteristic
324	#88184	C₂³	1	1	yes	characteristic
325	#88183	—	2	1	no	—
326	C₄×C₂²⋊D₁₃	—	2	1	no	—
327	C₄×C₂²⋊D₁₃	—	2	1	no	—
328	C₄×C₂²⋊D₁₃	—	2	1	no	—
329	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
330	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
331	#88180	—	2	1	no	—
332	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
334	#88178	—	2	1	no	—
335	#88178	—	2	1	no	—
336	#88178	—	2	1	no	—
337	#88178	C₂³	1	1	yes	characteristic
338	#88178	C₂³	1	1	yes	characteristic
339	C₂×#6099	C₂³	1	1	yes	characteristic
340	C₂²×#1055	C₂³	1	1	yes	characteristic
341	#88172	—	4	2	no	—
342	#88168	—	4	2	no	—
343	#88168	—	4	2	no	—
344	SD₁₆×D₁₃	—	4	2	no	—
345	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
346	C₂×#6095	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	#88152	—	2	1	no	—
353	#88151	—	2	1	no	—
354	#88151	—	2	1	no	—
355	#88151	—	2	1	no	—
356	#88151	C₂³	1	1	yes	characteristic
357	#88151	C₂³	1	1	yes	characteristic
358	#88150	—	2	1	no	—
359	#88150	D₄	1	1	yes	characteristic
360	#88149	C₂³	1	1	yes	characteristic
361	#88148	—	2	1	no	—
362	#88148	—	2	1	no	—
363	#88148	D₄	1	1	yes	characteristic
364	#88147	—	2	1	no	—
365	#88147	—	2	1	no	—
366	#88147	C₂³	1	1	yes	characteristic
367	#88146	C₂³	1	1	yes	characteristic
368	#88146	C₂³	1	1	yes	characteristic
369	C₄⋊C₄×D₁₃	—	2	1	no	—
370	C₄⋊C₄×D₁₃	—	2	1	no	—
371	C₄⋊C₄×D₁₃	—	2	1	no	—
372	C₄⋊C₄×D₁₃	—	2	1	no	—
373	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
374	#88144	—	2	1	no	—
375	#88144	C₂³	1	1	yes	characteristic
376	#88140	—	2	1	no	—
377	#88140	—	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	#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	D₄	1	1	yes	characteristic
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	#88137	—	2	1	no	—
398	#88137	—	2	1	no	—
399	#88137	—	2	1	no	—
400	#88137	D₄	1	1	yes	characteristic
401	#88136	—	2	1	no	—
402	#88136	—	2	1	no	—
403	#88136	—	2	1	no	—
404	#88136	—	2	1	no	—
405	#88136	D₄	1	1	yes	characteristic
406	#88135	—	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	#88133	—	2	1	no	—
412	#88133	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	—	2	1	no	—
415	#88132	—	2	1	no	—
416	#88132	—	2	1	no	—
417	#88132	—	2	1	no	—
418	#88132	D₄	1	1	yes	characteristic
419	#88131	—	2	1	no	—
420	C₄×D₅₂	—	2	1	no	—
421	C₄×D₅₂	—	2	1	no	—
422	C₄×D₅₂	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
428	#88123	C₂³	1	1	yes	characteristic
429	#88123	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	#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	#88060	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88060	C₂³	1	1	yes	characteristic
467	#88058	C₂³	1	1	yes	characteristic
468	#88058	C₂³	1	1	yes	characteristic
469	#88058	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	#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	#88050	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	#88047	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	#61656	—	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	—	8	2	no	—
538	C₂×C₂²⋊D₁₃	—	8	2	no	—
539	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
540	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
543	C₂²×Dic₁₃	—	2	1	no	—
544	C₂²×Dic₁₃	—	2	1	no	—
545	C₂²×Dic₁₃	—	2	1	no	—
546	C₂²×Dic₁₃	—	2	1	no	—
547	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
548	#6131	—	2	2	no	—
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	4	no	—
555	Q₈×D₁₃	—	2	2	no	—
556	Q₈×D₁₃	—	2	2	no	—
557	Q₈×D₁₃	—	4	1	no	—
558	Q₈×D₁₃	—	4	1	no	—
559	Q₈×D₁₃	—	4	1	no	—
560	Q₈×D₁₃	—	4	1	no	—
561	Q₈×D₁₃	—	4	4	no	—
562	#6129	—	4	1	no	—
563	#6129	—	4	1	no	—
564	#6129	—	4	4	no	—
565	#6129	—	8	2	no	—
566	D₄×D₁₃	—	2	2	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	#6127	—	2	2	no	—
572	#6127	—	2	2	no	—
573	#6127	—	4	1	no	—
574	#6127	—	4	1	no	—
575	#6127	—	4	1	no	—
576	#6127	—	4	1	no	—
577	#6127	—	4	4	no	—
578	#6127	—	4	4	no	—
579	#6127	—	4	4	no	—
580	C₂×D₅₂	—	2	1	no	—
581	C₂×D₅₂	—	2	1	no	—
582	C₂×D₅₂	—	2	1	no	—
583	C₂×D₅₂	—	2	1	no	—
584	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
585	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
586	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
587	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
588	C₂×C₄×D₁₃	—	2	1	no	—
589	C₂×C₄×D₁₃	—	2	1	no	—
590	C₂×C₄×D₁₃	—	2	1	no	—
591	C₂×C₄×D₁₃	—	2	1	no	—
592	C₂×C₄×D₁₃	—	2	1	no	—
593	C₂×C₄×D₁₃	—	2	1	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	—	4	1	no	—
601	C₂×C₄×D₁₃	—	4	1	no	—
602	C₂×C₄×D₁₃	—	4	4	no	—
603	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
604	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
605	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
606	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
607	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
608	C₂×Dic₂₆	—	2	1	no	—
609	C₂×Dic₂₆	—	2	1	no	—
610	C₂×Dic₂₆	—	2	1	no	—
611	C₂×Dic₂₆	—	2	1	no	—
612	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
613	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
614	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
615	C₁₃×Q₁₆	—	2	2	no	—
616	C₁₃×Q₁₆	—	4	1	no	—
617	C₁₃×SD₁₆	—	2	2	no	—
618	C₁₃×SD₁₆	—	2	2	no	—
619	C₁₃×SD₁₆	—	4	1	no	—
620	C₁₃×SD₁₆	—	4	1	no	—
621	C₁₃×SD₁₆	—	4	1	no	—
622	C₁₃×D₈	—	4	1	no	—
623	C₁₃×D₈	—	4	1	no	—
624	C₁₃×M₁₆	—	4	1	no	—
625	C₁₃×M₁₆	—	4	1	no	—
626	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
627	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
628	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
629	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
630	C₁₃×C₄⋊C₄	—	2	1	no	—
631	C₁₃×C₄⋊C₄	—	2	1	no	—
632	C₁₃×C₄⋊C₄	—	2	1	no	—
633	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
635	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
646	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
647	C₄²×C₁₃	—	2	1	no	—
648	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
649	C₂²⋊Dic₁₃	—	2	1	no	—
650	C₂²⋊Dic₁₃	—	2	1	no	—
651	C₂²⋊Dic₁₃	—	2	1	no	—
652	C₂²⋊Dic₁₃	—	2	1	no	—
653	C₂²⋊Dic₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
661	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
662	#6107	—	4	1	no	—
663	#6107	—	4	1	no	—
664	#6106	—	2	2	no	—
665	#6106	—	2	2	no	—
666	#6106	—	4	1	no	—
667	#6105	—	4	1	no	—
668	#6105	—	4	1	no	—
669	#6105	—	4	1	no	—
670	#6105	—	4	1	no	—
671	#6104	—	2	2	no	—
672	#6104	—	2	2	no	—
673	#6104	—	4	1	no	—
674	#6103	—	2	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	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	C₂×D₄	1	1	yes	characteristic
688	#6103	C₂×D₄	1	1	yes	characteristic
689	#6103	C₂×D₄	1	1	yes	characteristic
690	#6103	C₂×D₄	1	1	yes	characteristic
691	#6103	C₂×D₄	1	1	yes	characteristic
692	#6103	C₂×D₄	1	1	yes	characteristic
693	C₄⋊Dic₁₃	—	2	1	no	—
694	C₄⋊Dic₁₃	—	2	1	no	—
695	C₄⋊Dic₁₃	—	2	1	no	—
696	C₄⋊Dic₁₃	—	2	1	no	—
697	C₄⋊Dic₁₃	—	2	1	no	—
698	C₄⋊Dic₁₃	—	2	1	no	—
699	C₄⋊Dic₁₃	—	2	1	no	—
700	C₄⋊Dic₁₃	—	2	1	no	—
701	C₄⋊Dic₁₃	—	2	1	no	—
702	C₄⋊Dic₁₃	—	2	1	no	—
703	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
704	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
705	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
706	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
707	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	—	2	1	no	—
717	#6101	C₂×D₄	1	1	yes	characteristic
718	#6101	C₂×D₄	1	1	yes	characteristic
719	#6101	C₂×D₄	1	1	yes	characteristic
720	#6101	C₂×D₄	1	1	yes	characteristic
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	—	2	2	no	—
733	#6095	—	4	1	no	—
734	#6095	—	4	1	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	#3489	—	13	1	no	—
741	#3330	—	13	1	no	—
742	#3329	—	13	1	no	—
743	#3327	—	13	1	no	—
744	#3322	—	13	1	no	—
745	#3320	—	13	1	no	—
746	#3319	—	13	1	no	—
747	#3315	—	13	1	no	—
748	#3308	—	13	1	no	—
749	#3278	—	13	1	no	—
750	#3275	D₁₃	1	1	yes	characteristic, complemented
751	#3273	—	13	1	no	—
752	#3272	—	13	1	no	—
753	#3268	—	13	1	no	—
754	#3267	—	13	1	no	—
755	#3266	—	13	1	no	—
756	#3265	—	13	1	no	—
757	#3225	—	13	1	no	—
758	#3221	—	13	1	no	—
759	#3203	—	13	1	no	—
760	#3198	—	13	1	no	—
761	#3196	—	13	1	no	—
762	#3193	—	13	1	no	—
763	#3124	—	13	1	no	—
764	#3119	—	13	1	no	—
765	#3013	—	13	1	no	—
766	#3010	—	13	1	no	—
767	#3006	—	13	1	no	—
768	#3005	—	13	1	no	—
769	#2978	—	13	1	no	—
770	C₂³×C₁₃	—	2	1	no	—
771	C₂³×C₁₃	—	2	1	no	—
772	C₂³×C₁₃	—	2	1	no	—
773	C₂³×C₁₃	—	4	2	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	—	4	1	no	—
781	C₂²×D₁₃	—	4	1	no	—
782	C₂²×D₁₃	—	4	1	no	—
783	C₂²×D₁₃	—	4	2	no	—
784	C₂²×D₁₃	—	4	2	no	—
785	C₂²×D₁₃	—	8	1	no	—
786	C₂²×D₁₃	—	8	1	no	—
787	C₂²×D₁₃	—	8	1	no	—
788	C₂²×D₁₃	—	8	1	no	—
789	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
792	Q₈×C₁₃	—	2	1	no	—
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	—	4	2	no	—
798	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
799	D₄×C₁₃	—	2	1	no	—
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	—	4	1	no	—
806	D₄×C₁₃	—	4	2	no	—
807	D₄×C₁₃	—	8	1	no	—
808	D₄×C₁₃	—	8	1	no	—
809	D₄×C₁₃	—	8	1	no	—
810	D₄×C₁₃	—	8	1	no	—
811	C₂×C₄×C₁₃	—	2	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	—	4	2	no	—
821	C₂×C₄×C₁₃	—	4	2	no	—
822	C₂×C₄×C₁₃	—	8	1	no	—
823	C₂×C₄×C₁₃	—	8	1	no	—
824	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
829	C₂²⋊D₁₃	—	4	1	no	—
830	C₂²⋊D₁₃	—	4	1	no	—
831	C₂²⋊D₁₃	—	4	1	no	—
832	C₂²⋊D₁₃	—	4	1	no	—
833	C₂²⋊D₁₃	—	4	2	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	—	8	1	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	C₂×Dic₁₃	—	2	1	no	—
849	C₂×Dic₁₃	—	2	1	no	—
850	C₂×Dic₁₃	—	2	1	no	—
851	C₂×Dic₁₃	—	2	1	no	—
852	C₂×Dic₁₃	—	2	1	no	—
853	C₂×Dic₁₃	—	2	1	no	—
854	C₂×Dic₁₃	—	4	1	no	—
855	C₂×Dic₁₃	—	4	2	no	—
856	C₂×Dic₁₃	—	4	2	no	—
857	C₂×Dic₁₃	—	8	1	no	—
858	C₂×Dic₁₃	—	8	1	no	—
859	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
860	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
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	D₅₂	—	2	4	no	—
865	D₅₂	—	2	1	no	—
866	D₅₂	—	2	1	no	—
867	D₅₂	—	2	1	no	—
868	D₅₂	—	4	1	no	—
869	D₅₂	—	4	1	no	—
870	D₅₂	—	4	2	no	—
871	D₅₂	—	8	1	no	—
872	D₅₂	—	8	1	no	—
873	D₅₂	H(5,𝔽₂)	1	2	yes	—
874	C₄×D₁₃	—	2	4	no	—
875	C₄×D₁₃	—	2	1	no	—
876	C₄×D₁₃	—	2	1	no	—
877	C₄×D₁₃	—	2	1	no	—
878	C₄×D₁₃	—	2	1	no	—
879	C₄×D₁₃	—	2	1	no	—
880	C₄×D₁₃	—	2	1	no	—
881	C₄×D₁₃	—	4	1	no	—
882	C₄×D₁₃	—	4	1	no	—
883	C₄×D₁₃	—	4	2	no	—
884	C₄×D₁₃	—	4	2	no	—
885	C₄×D₁₃	—	4	2	no	—
886	C₄×D₁₃	—	4	2	no	—
887	C₄×D₁₃	—	4	2	no	—
888	C₄×D₁₃	—	4	2	no	—
889	C₄×D₁₃	—	8	1	no	—
890	C₄×D₁₃	—	8	1	no	—
891	C₄×D₁₃	—	8	1	no	—
892	C₄×D₁₃	—	8	1	no	—
893	C₄×D₁₃	—	8	1	no	—
894	Dic₂₆	—	2	1	no	—
895	Dic₂₆	—	2	1	no	—
896	Dic₂₆	—	2	1	no	—
897	Dic₂₆	—	2	1	no	—
898	Dic₂₆	—	4	1	no	—
899	Dic₂₆	—	4	2	no	—
900	Dic₂₆	—	4	2	no	—
901	Dic₂₆	—	4	2	no	—
902	Dic₂₆	—	8	1	no	—
903	C₈×C₁₃	—	2	1	no	—
904	C₈×C₁₃	—	2	1	no	—
905	C₈×C₁₃	—	2	1	no	—
906	C₈×C₁₃	—	2	1	no	—
907	#1055	—	2	1	no	—
908	#1055	—	2	1	no	—
909	#1055	—	2	1	no	—
910	#1055	—	2	1	no	—
911	C₂×2₋¹⁺⁴	—	13	1	no	—
912	C₂²×#41	—	13	1	no	—
913	C₂×#137	—	13	1	no	—
914	C₂×#137	C₂×D₁₃	1	1	yes	characteristic, complemented
915	C₂×AGL(1,ℤ/8)	—	13	1	no	—
916	C₂×AGL(1,ℤ/8)	—	13	1	no	—
917	C₂×AGL(1,ℤ/8)	—	13	1	no	—
918	C₂×AGL(1,ℤ/8)	C₂×D₁₃	1	1	yes	characteristic
919	C₂×#135	—	13	1	no	—
920	C₂²×SD₁₆	—	13	1	no	—
921	#562	—	26	1	no	—
922	#560	—	26	1	no	—
923	#555	—	13	1	no	—
924	#553	—	13	1	no	—
925	#552	—	13	1	no	—
926	#551	—	26	1	no	—
927	#550	—	13	1	no	—
928	D₄×Q₈	—	13	1	no	—
929	D₄×Q₈	—	13	1	no	—
930	#548	—	13	1	no	—
931	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
932	#547	—	13	1	no	—
933	#547	—	13	1	no	—
934	#547	—	13	1	no	—
935	#547	—	26	1	no	—
936	#547	—	26	1	no	—
937	#546	—	13	1	no	—
938	#546	—	13	1	no	—
939	#546	—	13	1	no	—
940	#546	—	26	1	no	—
941	#546	—	26	1	no	—
942	#546	—	26	1	no	—
943	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
944	D₄²	—	13	1	no	—
945	#542	—	13	1	no	—
946	#540	—	13	1	no	—
947	#540	—	26	1	no	—
948	#538	—	26	1	no	—
949	#537	—	13	1	no	—
950	#537	—	13	1	no	—
951	#537	—	26	1	no	—
952	#536	—	13	1	no	—
953	#536	—	26	1	no	—
954	#535	—	13	1	no	—
955	#535	—	26	1	no	—
956	#534	—	26	1	no	—
957	#525	—	13	1	no	—
958	#525	—	13	1	no	—
959	#525	—	26	1	no	—
960	C₂×C₂²⋊Q₈	—	13	1	no	—
961	C₂×C₂²⋊Q₈	—	26	1	no	—
962	C₂×#121	—	13	1	no	—
963	#520	—	13	1	no	—
964	#497	—	13	1	no	—
965	#496	—	13	1	no	—
966	#495	C₂×D₁₃	1	1	yes	characteristic, complemented
967	#492	—	13	1	no	—
968	#491	—	13	1	no	—
969	#489	—	13	1	no	—
970	#488	—	13	1	no	—
971	#487	—	13	1	no	—
972	#485	—	13	1	no	—
973	#485	—	13	1	no	—
974	#485	—	13	1	no	—
975	#484	—	13	1	no	—
976	#484	—	13	1	no	—
977	#484	—	13	1	no	—
978	#484	—	13	1	no	—
979	#482	—	13	1	no	—
980	#481	—	13	1	no	—
981	#480	—	13	1	no	—
982	#480	—	13	1	no	—
983	#480	—	13	1	no	—
984	#479	—	13	1	no	—
985	#478	—	13	1	no	—
986	#477	—	13	1	no	—
987	#474	—	13	1	no	—
988	#470	—	13	1	no	—
989	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
990	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
991	#468	—	13	1	no	—
992	#468	—	13	1	no	—
993	#468	—	13	1	no	—
994	#468	—	13	1	no	—
995	#468	—	13	1	no	—
996	#468	—	13	1	no	—
997	#468	—	13	1	no	—
998	#468	—	13	1	no	—
999	#468	—	13	1	no	—
1000	#467	—	13	1	no	—
1001	#466	—	13	1	no	—
1002	#466	—	13	1	no	—
1003	#465	—	13	1	no	—
1004	#464	—	13	1	no	—
1005	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
1006	#463	—	13	1	no	—
1007	#463	—	13	1	no	—
1008	#463	—	13	1	no	—
1009	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1010	#462	—	13	1	no	—
1011	#461	—	13	1	no	—
1012	#461	—	13	1	no	—
1013	#461	—	13	1	no	—
1014	#460	—	13	1	no	—
1015	#459	—	13	1	no	—
1016	#452	—	13	1	no	—
1017	#452	—	13	1	no	—
1018	#452	—	13	1	no	—
1019	#452	—	13	1	no	—
1020	#452	—	13	1	no	—
1021	#452	—	13	1	no	—
1022	#452	—	13	1	no	—
1023	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1024	#451	—	13	1	no	—
1025	#451	—	13	1	no	—
1026	#450	—	13	1	no	—
1027	#450	—	13	1	no	—
1028	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1029	#449	—	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	C₂×D₁₃	1	1	yes	characteristic, complemented
1041	#448	—	13	1	no	—
1042	#448	—	13	1	no	—
1043	#448	—	13	1	no	—
1044	#448	—	13	1	no	—
1045	#448	—	13	1	no	—
1046	#448	—	13	1	no	—
1047	#448	—	13	1	no	—
1048	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1049	#447	—	13	1	no	—
1050	#447	—	13	1	no	—
1051	#447	—	13	1	no	—
1052	#442	—	13	1	no	—
1053	#440	—	13	1	no	—
1054	#440	—	13	1	no	—
1055	#440	—	13	1	no	—
1056	C₄×Q₁₆	—	13	1	no	—
1057	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1058	C₄×D₈	—	13	1	no	—
1059	C₄×D₈	—	13	1	no	—
1060	#436	—	13	1	no	—
1061	#436	—	13	1	no	—
1062	#436	—	13	1	no	—
1063	#436	C₂×D₁₃	1	1	yes	characteristic, complemented
1064	#435	—	13	1	no	—
1065	#435	—	13	1	no	—
1066	#435	—	13	1	no	—
1067	#435	—	13	1	no	—
1068	#433	—	13	1	no	—
1069	#433	—	13	1	no	—
1070	#419	—	13	1	no	—
1071	#419	—	13	1	no	—
1072	#418	—	13	1	no	—
1073	#417	—	13	1	no	—
1074	#417	—	13	1	no	—
1075	#417	—	13	1	no	—
1076	#416	—	13	1	no	—
1077	C₂×#103	—	13	1	no	—
1078	#408	—	13	1	no	—
1079	#408	—	13	1	no	—
1080	#407	—	13	1	no	—
1081	#407	—	13	1	no	—
1082	C₂²×C₁₃	—	2	1	no	—
1083	C₂²×C₁₃	—	2	1	no	—
1084	C₂²×C₁₃	—	2	1	no	—
1085	C₂²×C₁₃	—	2	1	no	—
1086	C₂²×C₁₃	—	2	1	no	—
1087	C₂²×C₁₃	—	2	1	no	—
1088	C₂²×C₁₃	—	4	1	no	—
1089	C₂²×C₁₃	—	4	1	no	—
1090	C₂²×C₁₃	—	4	1	no	—
1091	C₂²×C₁₃	—	4	1	no	—
1092	C₂²×C₁₃	—	4	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	—	16	2	no	—
1098	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1099	C₂×D₁₃	—	2	1	no	—
1100	C₂×D₁₃	—	2	1	no	—
1101	C₂×D₁₃	—	2	1	no	—
1102	C₂×D₁₃	—	2	1	no	—
1103	C₂×D₁₃	—	2	1	no	—
1104	C₂×D₁₃	—	2	1	no	—
1105	C₂×D₁₃	—	2	1	no	—
1106	C₂×D₁₃	—	2	2	no	—
1107	C₂×D₁₃	—	2	1	no	—
1108	C₂×D₁₃	—	2	1	no	—
1109	C₂×D₁₃	—	4	1	no	—
1110	C₂×D₁₃	—	4	1	no	—
1111	C₂×D₁₃	—	4	1	no	—
1112	C₂×D₁₃	—	4	1	no	—
1113	C₂×D₁₃	—	4	1	no	—
1114	C₂×D₁₃	—	8	2	no	—
1115	C₂×D₁₃	—	8	4	no	—
1116	C₂×D₁₃	—	16	2	no	—
1117	C₄×C₁₃	—	2	1	no	—
1118	C₄×C₁₃	—	2	1	no	—
1119	C₄×C₁₃	—	2	2	no	—
1120	C₄×C₁₃	—	2	1	no	—
1121	C₄×C₁₃	—	2	1	no	—
1122	C₄×C₁₃	—	4	1	no	—
1123	C₄×C₁₃	—	4	1	no	—
1124	C₄×C₁₃	—	4	1	no	—
1125	C₄×C₁₃	—	4	1	no	—
1126	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1127	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1128	Dic₁₃	—	2	1	no	—
1129	Dic₁₃	—	2	1	no	—
1130	Dic₁₃	—	2	1	no	—
1131	Dic₁₃	—	2	1	no	—
1132	Dic₁₃	—	2	1	no	—
1133	Dic₁₃	—	4	1	no	—
1134	Dic₁₃	—	4	1	no	—
1135	Dic₁₃	—	4	1	no	—
1136	Dic₁₃	—	4	1	no	—
1137	Dic₁₃	—	4	1	no	—
1138	Dic₁₃	—	4	1	no	—
1139	2₋¹⁺⁴	—	52	2	no	—
1140	2₋¹⁺⁴	—	52	2	no	—
1141	C₂×#41	—	13	1	no	—
1142	C₂×#41	—	13	1	no	—
1143	C₂×#41	—	13	1	no	—
1144	C₂×#41	—	13	1	no	—
1145	C₂×#41	—	13	1	no	—
1146	C₂×#41	—	13	1	no	—
1147	C₂×#41	—	13	1	no	—
1148	C₂×#41	—	26	1	no	—
1149	C₂×#41	—	26	1	no	—
1150	C₂×#41	—	26	1	no	—
1151	C₂×#41	—	26	1	no	—
1152	C₂×#41	—	26	1	no	—
1153	C₂×#41	—	26	1	no	—
1154	C₂×#41	—	52	2	no	—
1155	C₂×#41	—	52	2	no	—
1156	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1157	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1158	C₂²×Q₈	—	13	1	no	—
1159	C₂²×Q₈	—	13	1	no	—
1160	C₂²×Q₈	—	13	1	no	—
1161	C₂²×Q₈	—	26	1	no	—
1162	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1163	C₂²×D₄	—	13	1	no	—
1164	C₂²×D₄	—	13	1	no	—
1165	C₂²×D₄	—	26	1	no	—
1166	C₂²×D₄	—	26	1	no	—
1167	C₂²×D₄	—	26	1	no	—
1168	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1169	C₂³×C₄	—	13	1	no	—
1170	C₂³×C₄	—	26	1	no	—
1171	#137	—	4	2	no	—
1172	#137	—	52	2	no	—
1173	AGL(1,ℤ/8)	—	4	2	no	—
1174	AGL(1,ℤ/8)	—	52	2	no	—
1175	AGL(1,ℤ/8)	—	52	2	no	—
1176	AGL(1,ℤ/8)	—	52	2	no	—
1177	#135	—	52	2	no	—
1178	C₂×Q₁₆	—	13	1	no	—
1179	C₂×Q₁₆	—	13	1	no	—
1180	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1181	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1182	C₂×SD₁₆	—	13	1	no	—
1183	C₂×SD₁₆	—	13	1	no	—
1184	C₂×SD₁₆	—	13	1	no	—
1185	C₂×SD₁₆	—	13	1	no	—
1186	C₂×SD₁₆	—	13	1	no	—
1187	C₂×SD₁₆	—	13	1	no	—
1188	C₂×SD₁₆	—	13	1	no	—
1189	C₂×SD₁₆	—	13	1	no	—
1190	C₂×SD₁₆	—	13	1	no	—
1191	C₂×SD₁₆	—	52	2	no	—
1192	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1193	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1194	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1195	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1196	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1197	C₂×D₈	—	13	1	no	—
1198	C₂×D₈	—	13	1	no	—
1199	C₂×D₈	—	13	1	no	—
1200	C₂×D₈	—	13	1	no	—
1201	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1202	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1203	C₂×M₁₆	—	13	1	no	—
1204	C₂×M₁₆	—	13	1	no	—
1205	C₂×M₁₆	—	13	1	no	—
1206	C₂×M₁₆	—	13	1	no	—
1207	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1208	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1209	C₂²×C₈	—	13	1	no	—
1210	C₂²×C₈	—	13	1	no	—
1211	C₄⋊Q₈	—	13	1	no	—
1212	C₄⋊Q₈	—	13	1	no	—
1213	C₄⋊Q₈	—	13	1	no	—
1214	C₄⋊Q₈	—	26	1	no	—
1215	C₄⋊Q₈	—	26	1	no	—
1216	#127	—	13	1	no	—
1217	#127	—	26	1	no	—
1218	#127	—	26	1	no	—
1219	#126	—	26	1	no	—
1220	#126	—	26	1	no	—
1221	#126	—	26	1	no	—
1222	#125	—	13	1	no	—
1223	#125	—	26	1	no	—
1224	#124	—	2	1	no	—
1225	#124	—	13	1	no	—
1226	#124	—	26	1	no	—
1227	#124	—	26	1	no	—
1228	#124	—	26	1	no	—
1229	#124	—	26	1	no	—
1230	#124	—	26	1	no	—
1231	#124	C₂²×D₁₃	1	1	yes	characteristic
1232	#124	C₂²×D₁₃	1	1	yes	characteristic
1233	#123	—	2	1	no	—
1234	#123	—	13	1	no	—
1235	#123	—	13	1	no	—
1236	#123	—	26	1	no	—
1237	#123	—	26	1	no	—
1238	#123	—	26	1	no	—
1239	#123	—	26	1	no	—
1240	#123	—	26	1	no	—
1241	#123	—	26	1	no	—
1242	#123	—	26	1	no	—
1243	#123	—	26	1	no	—
1244	#123	—	26	1	no	—
1245	#123	—	26	1	no	—
1246	#123	—	26	1	no	—
1247	#123	—	26	1	no	—
1248	#123	—	26	1	no	—
1249	#123	—	26	1	no	—
1250	#123	—	26	1	no	—
1251	#123	—	26	1	no	—
1252	#123	—	26	1	no	—
1253	C₂²⋊Q₈	—	2	1	no	—
1254	C₂²⋊Q₈	—	13	1	no	—
1255	C₂²⋊Q₈	—	13	1	no	—
1256	C₂²⋊Q₈	—	13	1	no	—
1257	C₂²⋊Q₈	—	13	1	no	—
1258	C₂²⋊Q₈	—	13	1	no	—
1259	C₂²⋊Q₈	—	13	1	no	—
1260	C₂²⋊Q₈	—	13	1	no	—
1261	C₂²⋊Q₈	—	13	1	no	—
1262	C₂²⋊Q₈	—	13	1	no	—
1263	C₂²⋊Q₈	—	26	1	no	—
1264	C₂²⋊Q₈	—	26	1	no	—
1265	C₂²⋊Q₈	—	26	1	no	—
1266	C₂²⋊Q₈	—	26	1	no	—
1267	C₂²⋊Q₈	—	26	1	no	—
1268	C₂²⋊Q₈	—	26	1	no	—
1269	C₂²⋊Q₈	—	26	1	no	—
1270	C₂²⋊Q₈	—	26	1	no	—
1271	C₂²⋊Q₈	—	26	1	no	—
1272	C₂²⋊Q₈	—	26	1	no	—
1273	C₂²⋊Q₈	—	26	1	no	—
1274	C₂²⋊Q₈	—	26	1	no	—
1275	C₂²⋊Q₈	—	26	1	no	—
1276	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1277	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1278	#121	—	2	1	no	—
1279	#121	—	2	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	—	13	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	C₂²×D₁₃	1	1	yes	characteristic
1313	#121	C₂²×D₁₃	1	1	yes	characteristic
1314	#120	—	2	1	no	—
1315	#120	—	13	1	no	—
1316	#120	—	13	1	no	—
1317	#120	—	26	1	no	—
1318	#120	—	26	1	no	—
1319	#120	—	26	1	no	—
1320	#120	—	26	1	no	—
1321	#120	—	26	1	no	—
1322	#120	—	26	1	no	—
1323	#120	—	26	1	no	—
1324	#120	—	26	1	no	—
1325	C₄×Q₈	—	13	1	no	—
1326	C₄×Q₈	—	13	1	no	—
1327	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1328	C₄×D₄	—	2	1	no	—
1329	C₄×D₄	—	13	1	no	—
1330	C₄×D₄	—	13	1	no	—
1331	C₄×D₄	—	13	1	no	—
1332	C₄×D₄	—	13	1	no	—
1333	C₄×D₄	—	13	1	no	—
1334	C₄×D₄	—	13	1	no	—
1335	C₄×D₄	—	13	1	no	—
1336	C₄×D₄	—	26	1	no	—
1337	C₄×D₄	—	26	1	no	—
1338	C₄×D₄	—	26	1	no	—
1339	C₄×D₄	—	26	1	no	—
1340	C₄×D₄	—	26	1	no	—
1341	C₄×D₄	—	26	1	no	—
1342	C₄×D₄	—	26	1	no	—
1343	C₄×D₄	—	26	1	no	—
1344	C₄×D₄	—	26	1	no	—
1345	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1346	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1347	#117	—	13	1	no	—
1348	#117	—	13	1	no	—
1349	#117	—	13	1	no	—
1350	#117	—	26	1	no	—
1351	#117	—	26	1	no	—
1352	#117	—	26	1	no	—
1353	C₂×C₄⋊C₄	—	13	1	no	—
1354	C₂×C₄⋊C₄	—	13	1	no	—
1355	C₂×C₄⋊C₄	—	13	1	no	—
1356	C₂×C₄⋊C₄	—	26	1	no	—
1357	C₂×C₄⋊C₄	—	26	1	no	—
1358	C₂×C₄⋊C₄	—	26	1	no	—
1359	C₂×C₄⋊C₄	—	26	1	no	—
1360	C₂×C₂²⋊C₄	—	2	1	no	—
1361	C₂×C₂²⋊C₄	—	26	1	no	—
1362	C₂×C₂²⋊C₄	—	26	1	no	—
1363	C₂×C₂²⋊C₄	—	26	1	no	—
1364	C₂×C₂²⋊C₄	—	26	1	no	—
1365	C₂×C₂²⋊C₄	—	26	1	no	—
1366	#107	—	13	1	no	—
1367	#107	—	13	1	no	—
1368	#107	—	13	1	no	—
1369	#107	—	13	1	no	—
1370	#107	—	13	1	no	—
1371	#107	—	13	1	no	—
1372	#106	—	13	1	no	—
1373	#106	C₂²×D₁₃	1	1	yes	characteristic
1374	C₄⋊C₈	—	13	1	no	—
1375	C₄⋊C₈	—	13	1	no	—
1376	C₄⋊C₈	—	13	1	no	—
1377	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1378	#103	—	13	1	no	—
1379	#103	—	13	1	no	—
1380	#103	—	13	1	no	—
1381	#103	—	13	1	no	—
1382	#103	—	13	1	no	—
1383	#103	—	13	1	no	—
1384	#103	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1394	#103	C₂²×D₁₃	1	1	yes	characteristic
1395	#103	C₂²×D₁₃	1	1	yes	characteristic
1396	#102	—	13	1	no	—
1397	#102	—	13	1	no	—
1398	#102	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1408	#102	C₂²×D₁₃	1	1	yes	characteristic
1409	#102	C₂²×D₁₃	1	1	yes	characteristic
1410	C₂²⋊C₈	—	13	1	no	—
1411	C₂²⋊C₈	—	13	1	no	—
1412	C₂²⋊C₈	—	13	1	no	—
1413	C₂²⋊C₈	—	13	1	no	—
1414	C₂²⋊C₈	—	13	1	no	—
1415	C₂²⋊C₈	—	13	1	no	—
1416	C₂²⋊C₈	—	13	1	no	—
1417	C₂²⋊C₈	—	13	1	no	—
1418	C₂²⋊C₈	—	13	1	no	—
1419	C₂²⋊C₈	—	13	1	no	—
1420	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1421	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1422	#97	—	13	1	no	—
1423	#97	—	13	1	no	—
1424	C₄×C₈	—	13	1	no	—
1425	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1426	C₂×C₁₃	—	4	1	no	—
1427	C₂×C₁₃	—	4	1	no	—
1428	C₂×C₁₃	—	8	1	no	—
1429	C₂×C₁₃	—	8	1	no	—
1430	C₂×C₁₃	—	8	1	no	—
1431	C₂×C₁₃	#3484	1	1	yes	characteristic
1432	C₂×C₁₃	#3585	1	1	yes	characteristic
1433	C₂×C₁₃	#3586	1	1	yes	characteristic
1434	D₁₃	—	4	1	no	—
1435	D₁₃	—	4	1	no	—
1436	D₁₃	—	4	1	no	—
1437	D₁₃	—	4	2	no	—
1438	D₁₃	—	8	1	no	—
1439	C₂⁴	—	2	1	no	—
1440	C₂⁴	—	13	1	no	—
1441	C₂⁴	—	26	1	no	—
1442	C₂⁴	—	26	1	no	—
1443	#41	—	2	2	no	—
1444	#41	—	4	1	no	—
1445	#41	—	4	1	no	—
1446	#41	—	4	1	no	—
1447	#41	—	26	2	no	—
1448	#41	—	26	2	no	—
1449	#41	—	26	2	no	—
1450	#41	—	26	2	no	—
1451	#41	—	26	2	no	—
1452	#41	—	52	1	no	—
1453	#41	—	52	1	no	—
1454	#41	—	52	1	no	—
1455	#41	—	52	1	no	—
1456	#41	—	52	4	no	—
1457	#41	—	52	4	no	—
1458	#41	—	52	4	no	—
1459	#41	—	52	1	no	—
1460	#41	—	52	1	no	—
1461	#41	—	52	4	no	—
1462	#41	—	52	1	no	—
1463	#41	—	52	1	no	—
1464	#41	—	52	1	no	—
1465	#41	—	52	4	no	—
1466	#41	—	104	2	no	—
1467	C₂×Q₈	—	2	1	no	—
1468	C₂×Q₈	—	2	2	no	—
1469	C₂×Q₈	—	4	1	no	—
1470	C₂×Q₈	—	13	1	no	—
1471	C₂×Q₈	—	13	1	no	—
1472	C₂×Q₈	—	13	1	no	—
1473	C₂×Q₈	—	26	1	no	—
1474	C₂×Q₈	—	26	1	no	—
1475	C₂×Q₈	—	26	1	no	—
1476	C₂×Q₈	—	26	1	no	—
1477	C₂×Q₈	—	26	2	no	—
1478	C₂×Q₈	—	26	2	no	—
1479	C₂×Q₈	—	52	1	no	—
1480	C₂×Q₈	—	52	1	no	—
1481	C₂×Q₈	—	52	1	no	—
1482	C₂×Q₈	—	52	1	no	—
1483	C₂×Q₈	—	52	4	no	—
1484	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1485	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1486	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	2	1	no	—
1489	C₂×D₄	—	2	1	no	—
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	4	1	no	—
1493	C₂×D₄	—	4	1	no	—
1494	C₂×D₄	—	13	1	no	—
1495	C₂×D₄	—	13	1	no	—
1496	C₂×D₄	—	13	1	no	—
1497	C₂×D₄	—	13	1	no	—
1498	C₂×D₄	—	13	1	no	—
1499	C₂×D₄	—	13	1	no	—
1500	C₂×D₄	—	13	1	no	—
1501	C₂×D₄	—	13	1	no	—
1502	C₂×D₄	—	26	1	no	—
1503	C₂×D₄	—	26	1	no	—
1504	C₂×D₄	—	26	1	no	—
1505	C₂×D₄	—	26	1	no	—
1506	C₂×D₄	—	26	1	no	—
1507	C₂×D₄	—	26	1	no	—
1508	C₂×D₄	—	26	1	no	—
1509	C₂×D₄	—	26	1	no	—
1510	C₂×D₄	—	26	2	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	—	52	1	no	—
1523	C₂×D₄	—	52	1	no	—
1524	C₂×D₄	—	52	1	no	—
1525	C₂×D₄	—	52	4	no	—
1526	C₂×D₄	—	104	2	no	—
1527	C₂×D₄	—	104	2	no	—
1528	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1529	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1530	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1531	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1532	C₂²×C₄	—	2	1	no	—
1533	C₂²×C₄	—	2	1	no	—
1534	C₂²×C₄	—	2	1	no	—
1535	C₂²×C₄	—	2	1	no	—
1536	C₂²×C₄	—	13	1	no	—
1537	C₂²×C₄	—	13	1	no	—
1538	C₂²×C₄	—	13	1	no	—
1539	C₂²×C₄	—	13	1	no	—
1540	C₂²×C₄	—	13	1	no	—
1541	C₂²×C₄	—	13	1	no	—
1542	C₂²×C₄	—	26	1	no	—
1543	C₂²×C₄	—	26	1	no	—
1544	C₂²×C₄	—	26	1	no	—
1545	C₂²×C₄	—	26	1	no	—
1546	C₂²×C₄	—	26	1	no	—
1547	C₂²×C₄	—	26	1	no	—
1548	C₂²×C₄	—	26	1	no	—
1549	C₂²×C₄	—	26	1	no	—
1550	C₂²×C₄	—	26	1	no	—
1551	C₂²×C₄	—	26	1	no	—
1552	C₂²×C₄	—	26	1	no	—
1553	C₂²×C₄	—	26	1	no	—
1554	C₂²×C₄	—	26	1	no	—
1555	C₂²×C₄	—	26	1	no	—
1556	C₂²×C₄	—	26	1	no	—
1557	C₂²×C₄	—	26	1	no	—
1558	C₂²×C₄	—	52	1	no	—
1559	C₂²×C₄	—	52	1	no	—
1560	C₂²×C₄	—	52	4	no	—
1561	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1562	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1563	Q₁₆	—	2	2	no	—
1564	Q₁₆	—	4	1	no	—
1565	Q₁₆	—	52	1	no	—
1566	Q₁₆	—	52	1	no	—
1567	SD₁₆	—	2	2	no	—
1568	SD₁₆	—	2	2	no	—
1569	SD₁₆	—	4	1	no	—
1570	SD₁₆	—	4	1	no	—
1571	SD₁₆	—	4	1	no	—
1572	SD₁₆	—	26	2	no	—
1573	SD₁₆	—	26	2	no	—
1574	SD₁₆	—	52	1	no	—
1575	SD₁₆	—	52	1	no	—
1576	SD₁₆	—	52	1	no	—
1577	SD₁₆	—	52	1	no	—
1578	SD₁₆	—	52	1	no	—
1579	SD₁₆	—	52	1	no	—
1580	SD₁₆	—	52	1	no	—
1581	D₈	—	4	1	no	—
1582	D₈	—	4	1	no	—
1583	D₈	—	26	2	no	—
1584	D₈	—	26	2	no	—
1585	D₈	—	26	2	no	—
1586	D₈	—	52	1	no	—
1587	M₁₆	—	4	1	no	—
1588	M₁₆	—	4	1	no	—
1589	M₁₆	—	52	1	no	—
1590	M₁₆	—	52	1	no	—
1591	M₁₆	—	52	1	no	—
1592	M₁₆	—	52	1	no	—
1593	C₂×C₈	—	13	1	no	—
1594	C₂×C₈	—	13	1	no	—
1595	C₂×C₈	—	13	1	no	—
1596	C₂×C₈	—	13	1	no	—
1597	C₂×C₈	—	52	1	no	—
1598	C₂×C₈	—	52	1	no	—
1599	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1600	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1601	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1602	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1603	C₄⋊C₄	—	2	1	no	—
1604	C₄⋊C₄	—	2	1	no	—
1605	C₄⋊C₄	—	2	1	no	—
1606	C₄⋊C₄	—	13	1	no	—
1607	C₄⋊C₄	—	13	1	no	—
1608	C₄⋊C₄	—	13	1	no	—
1609	C₄⋊C₄	—	13	1	no	—
1610	C₄⋊C₄	—	13	1	no	—
1611	C₄⋊C₄	—	13	1	no	—
1612	C₄⋊C₄	—	13	1	no	—
1613	C₄⋊C₄	—	13	1	no	—
1614	C₄⋊C₄	—	13	1	no	—
1615	C₄⋊C₄	—	26	1	no	—
1616	C₄⋊C₄	—	26	1	no	—
1617	C₄⋊C₄	—	26	1	no	—
1618	C₄⋊C₄	—	26	1	no	—
1619	C₄⋊C₄	—	26	1	no	—
1620	C₄⋊C₄	—	26	1	no	—
1621	C₄⋊C₄	—	26	1	no	—
1622	C₄⋊C₄	—	26	1	no	—
1623	C₄⋊C₄	—	26	1	no	—
1624	C₄⋊C₄	—	26	1	no	—
1625	C₄⋊C₄	—	26	1	no	—
1626	C₄⋊C₄	—	26	1	no	—
1627	C₄⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1635	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1636	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	13	1	no	—
1647	C₂²⋊C₄	—	13	1	no	—
1648	C₂²⋊C₄	—	13	1	no	—
1649	C₂²⋊C₄	—	13	1	no	—
1650	C₂²⋊C₄	—	13	1	no	—
1651	C₂²⋊C₄	—	13	1	no	—
1652	C₂²⋊C₄	—	13	1	no	—
1653	C₂²⋊C₄	—	13	1	no	—
1654	C₂²⋊C₄	—	26	1	no	—
1655	C₂²⋊C₄	—	26	1	no	—
1656	C₂²⋊C₄	—	26	1	no	—
1657	C₂²⋊C₄	—	26	1	no	—
1658	C₂²⋊C₄	—	26	1	no	—
1659	C₂²⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1679	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1680	C₄²	—	2	1	no	—
1681	C₄²	—	13	1	no	—
1682	C₄²	—	26	1	no	—
1683	C₄²	—	26	1	no	—
1684	C₄²	—	26	1	no	—
1685	C₄²	—	26	1	no	—
1686	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1687	C₁₃	#61656	1	1	yes	characteristic, complemented, Sylow
1688	C₂³	—	2	1	no	—
1689	C₂³	—	2	1	no	—
1690	C₂³	—	2	1	no	—
1691	C₂³	—	4	2	no	—
1692	C₂³	—	8	1	no	—
1693	C₂³	—	8	1	no	—
1694	C₂³	—	13	1	no	—
1695	C₂³	—	13	1	no	—
1696	C₂³	—	13	1	no	—
1697	C₂³	—	26	1	no	—
1698	C₂³	—	26	1	no	—
1699	C₂³	—	52	1	no	—
1700	C₂³	—	52	1	no	—
1701	C₂³	—	52	1	no	—
1702	C₂³	—	52	2	no	—
1703	C₂³	—	52	2	no	—
1704	C₂³	—	104	1	no	—
1705	C₂³	—	104	1	no	—
1706	C₂³	—	104	1	no	—
1707	C₂³	—	104	1	no	—
1708	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1709	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1710	Q₈	—	2	1	no	—
1711	Q₈	—	2	1	no	—
1712	Q₈	—	2	1	no	—
1713	Q₈	—	2	1	no	—
1714	Q₈	—	2	1	no	—
1715	Q₈	—	4	2	no	—
1716	Q₈	—	26	1	no	—
1717	Q₈	—	26	1	no	—
1718	Q₈	—	26	1	no	—
1719	Q₈	—	26	1	no	—
1720	Q₈	—	52	1	no	—
1721	Q₈	—	52	2	no	—
1722	Q₈	—	52	2	no	—
1723	Q₈	—	52	2	no	—
1724	Q₈	—	104	1	no	—
1725	Q₈	#88251	1	2	yes	—
1726	D₄	—	2	1	no	—
1727	D₄	—	2	1	no	—
1728	D₄	—	2	1	no	—
1729	D₄	—	2	1	no	—
1730	D₄	—	2	1	no	—
1731	D₄	—	2	1	no	—
1732	D₄	—	4	1	no	—
1733	D₄	—	4	2	no	—
1734	D₄	—	8	1	no	—
1735	D₄	—	8	1	no	—
1736	D₄	—	8	1	no	—
1737	D₄	—	8	1	no	—
1738	D₄	—	13	2	no	—
1739	D₄	—	26	4	no	—
1740	D₄	—	26	1	no	—
1741	D₄	—	26	1	no	—
1742	D₄	—	26	1	no	—
1743	D₄	—	52	1	no	—
1744	D₄	—	52	1	no	—
1745	D₄	—	52	2	no	—
1746	D₄	—	52	1	no	—
1747	D₄	—	52	1	no	—
1748	D₄	—	52	1	no	—
1749	D₄	—	52	1	no	—
1750	D₄	—	52	2	no	—
1751	D₄	—	52	2	no	—
1752	D₄	—	52	2	no	—
1753	D₄	—	52	2	no	—
1754	D₄	—	52	2	no	—
1755	D₄	—	104	1	no	—
1756	D₄	—	104	1	no	—
1757	D₄	—	104	1	no	—
1758	D₄	—	104	1	no	—
1759	D₄	—	104	1	no	—
1760	D₄	—	104	1	no	—
1761	D₄	—	104	1	no	—
1762	D₄	—	104	1	no	—
1763	D₄	—	104	1	no	—
1764	D₄	—	104	1	no	—
1765	D₄	—	104	1	no	—
1766	D₄	—	104	1	no	—
1767	C₂×C₄	—	2	1	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	2	1	no	—
1770	C₂×C₄	—	2	1	no	—
1771	C₂×C₄	—	2	1	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	2	1	no	—
1774	C₂×C₄	—	2	1	no	—
1775	C₂×C₄	—	2	1	no	—
1776	C₂×C₄	—	4	2	no	—
1777	C₂×C₄	—	4	2	no	—
1778	C₂×C₄	—	8	1	no	—
1779	C₂×C₄	—	8	1	no	—
1780	C₂×C₄	—	13	1	no	—
1781	C₂×C₄	—	13	1	no	—
1782	C₂×C₄	—	13	1	no	—
1783	C₂×C₄	—	13	1	no	—
1784	C₂×C₄	—	13	1	no	—
1785	C₂×C₄	—	26	4	no	—
1786	C₂×C₄	—	26	1	no	—
1787	C₂×C₄	—	26	1	no	—
1788	C₂×C₄	—	26	1	no	—
1789	C₂×C₄	—	26	1	no	—
1790	C₂×C₄	—	26	1	no	—
1791	C₂×C₄	—	26	1	no	—
1792	C₂×C₄	—	26	1	no	—
1793	C₂×C₄	—	26	1	no	—
1794	C₂×C₄	—	26	1	no	—
1795	C₂×C₄	—	26	1	no	—
1796	C₂×C₄	—	26	1	no	—
1797	C₂×C₄	—	26	1	no	—
1798	C₂×C₄	—	52	1	no	—
1799	C₂×C₄	—	52	1	no	—
1800	C₂×C₄	—	52	2	no	—
1801	C₂×C₄	—	52	2	no	—
1802	C₂×C₄	—	52	2	no	—
1803	C₂×C₄	—	52	2	no	—
1804	C₂×C₄	—	52	2	no	—
1805	C₂×C₄	—	52	2	no	—
1806	C₂×C₄	—	52	1	no	—
1807	C₂×C₄	—	52	2	no	—
1808	C₂×C₄	—	52	2	no	—
1809	C₂×C₄	—	104	1	no	—
1810	C₂×C₄	—	104	1	no	—
1811	C₂×C₄	—	104	1	no	—
1812	C₂×C₄	—	104	1	no	—
1813	C₂×C₄	—	104	1	no	—
1814	C₂×C₄	—	104	1	no	—
1815	C₂×C₄	—	104	1	no	—
1816	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1817	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1818	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1819	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1820	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1821	C₈	—	2	1	no	—
1822	C₈	—	2	1	no	—
1823	C₈	—	2	1	no	—
1824	C₈	—	2	1	no	—
1825	C₈	—	26	1	no	—
1826	C₈	—	26	1	no	—
1827	C₈	—	26	1	no	—
1828	C₈	—	26	1	no	—
1829	C₂²	—	2	1	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	2	1	no	—
1832	C₂²	—	2	1	no	—
1833	C₂²	—	2	1	no	—
1834	C₂²	—	2	1	no	—
1835	C₂²	—	4	1	no	—
1836	C₂²	—	4	1	no	—
1837	C₂²	—	4	1	no	—
1838	C₂²	—	4	1	no	—
1839	C₂²	—	4	1	no	—
1840	C₂²	—	4	1	no	—
1841	C₂²	—	4	1	no	—
1842	C₂²	—	4	1	no	—
1843	C₂²	—	4	1	no	—
1844	C₂²	—	16	2	no	—
1845	C₂²	—	26	2	no	—
1846	C₂²	—	26	1	no	—
1847	C₂²	—	26	1	no	—
1848	C₂²	—	26	1	no	—
1849	C₂²	—	26	1	no	—
1850	C₂²	—	26	1	no	—
1851	C₂²	—	26	1	no	—
1852	C₂²	—	26	1	no	—
1853	C₂²	—	26	1	no	—
1854	C₂²	—	26	1	no	—
1855	C₂²	—	52	1	no	—
1856	C₂²	—	52	1	no	—
1857	C₂²	—	52	1	no	—
1858	C₂²	—	52	1	no	—
1859	C₂²	—	52	1	no	—
1860	C₂²	—	104	2	no	—
1861	C₂²	—	104	4	no	—
1862	C₂²	—	208	2	no	—
1863	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1864	C₄	—	2	1	no	—
1865	C₄	—	2	1	no	—
1866	C₄	—	2	2	no	—
1867	C₄	—	2	1	no	—
1868	C₄	—	2	1	no	—
1869	C₄	—	4	1	no	—
1870	C₄	—	4	1	no	—
1871	C₄	—	4	1	no	—
1872	C₄	—	4	1	no	—
1873	C₄	—	26	1	no	—
1874	C₄	—	26	1	no	—
1875	C₄	—	26	1	no	—
1876	C₄	—	26	1	no	—
1877	C₄	—	26	1	no	—
1878	C₄	—	52	1	no	—
1879	C₄	—	52	1	no	—
1880	C₄	—	52	1	no	—
1881	C₄	—	52	1	no	—
1882	C₄	—	52	1	no	—
1883	C₄	—	52	1	no	—
1884	C₄	C₂×#88251	1	1	yes	characteristic
1885	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1886	C₂	—	4	1	no	—
1887	C₂	—	4	1	no	—
1888	C₂	—	8	1	no	—
1889	C₂	—	8	1	no	—
1890	C₂	—	8	1	no	—
1891	C₂	—	52	1	no	—
1892	C₂	—	52	1	no	—
1893	C₂	—	52	1	no	—
1894	C₂	—	52	2	no	—
1895	C₂	—	104	1	no	—
1896	C₂	#13128464	1	1	yes	characteristic
1897	C₂	#13129613	1	1	yes	characteristic
1898	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×#3275	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3275	D₁₃
hypocenter	C₁₃	#61656
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3275

Complements

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

N	H ≅ G/N	type
1. #13129138	C₂	semidirect
2. #13128515	C₂	semidirect
3. #13127142	C₂	semidirect
4. #13127132	C₂	semidirect
5. #13127097	C₂	semidirect
6. #13127032	C₂	semidirect
7. #13127011	C₂	semidirect
8. #13126999	C₂	semidirect
9. #13126927	C₂	semidirect
10. #13126827	C₂	semidirect
11. #13126496	C₂	semidirect
12. #13126445	C₂	semidirect
13. #13126434	C₂	semidirect
14. #13126369	C₂	semidirect
15. #13126357	C₂	semidirect
16. #13126341	C₂	semidirect
17. #13126325	C₂	semidirect
18. #13125938	C₂	semidirect
19. #13125894	C₂	semidirect
20. #13125735	C₂	semidirect
21. #13125683	C₂	semidirect
22. #13125667	C₂	semidirect
23. #13125639	C₂	semidirect
24. #13125097	C₂	semidirect
25. #13125041	C₂	semidirect
26. #13124150	C₂	semidirect
27. #13124117	C₂	semidirect
28. #13124084	C₂	semidirect
29. #13124079	C₂	semidirect
30. #13123893	C₂	semidirect
31. C₁₃×#3275	C₂	semidirect
32. C₂×#41×D₁₃	C₂²	semidirect
33. C₂×#88254	C₂²	semidirect
34. C₂×C₁₃×#137	C₂²	semidirect
36. C₁₃×#548	C₂²	semidirect
37. C₁₃×#546	C₂²	semidirect
39. #11719538	C₂²	semidirect
41. C₂×#88204	C₂²	semidirect
42. Q₈×C₂²⋊D₁₃	C₂²	semidirect
43. D₄×C₂²⋊D₁₃	C₂²	semidirect
46. C₂×#88172	C₂²	semidirect
47. C₂×#88168	C₂²	semidirect
48. C₂×#88168	C₂²	semidirect
49. C₂×SD₁₆×D₁₃	C₂²	semidirect
50. #11719387	C₂²	semidirect
53. #11719381	C₂²	semidirect
55. #11719380	C₂²	semidirect
58. #11719347	C₂²	semidirect
63. D₁₃×C₂²⋊Q₈	C₂²	semidirect
68. #11719317	C₂²	semidirect
70. #11719313	C₂²	semidirect
71. #11719312	C₂²	semidirect
74. Q₈×D₅₂	C₂²	semidirect
75. #11719279	C₂²	semidirect
77. #11719267	C₂²	semidirect
78. #11719260	C₂²	semidirect
80. #11719256	C₂²	semidirect
85. C₁₃×#495	C₂²	semidirect
86. C₁₃×#470	C₂²	semidirect
87. C₁₃×#469	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
89. C₁₃×#463	C₂²	semidirect
90. C₁₃×#452	C₂²	semidirect
91. C₁₃×#450	C₂²	semidirect
92. C₁₃×#449	C₂²	semidirect
93. C₁₃×#448	C₂²	semidirect
94. C₄×C₁₃×SD₁₆	C₂²	semidirect
95. C₁₃×#436	C₂²	semidirect
96. #11718900	C₂²	semidirect
98. #11718893	C₂²	semidirect
99. #11718888	C₂²	semidirect
100. C₂×#88075	C₂²	semidirect
101. #11718879	C₂²	semidirect
102. #11718848	C₂²	semidirect
103. #11718848	C₂²	semidirect
104. #11718848	C₂²	semidirect
105. #11718847	C₂²	semidirect
106. #11718847	C₂²	semidirect
107. Q₁₆×Dic₁₃	C₂²	semidirect
108. #11718843	C₂²	semidirect
109. #11718836	C₂²	semidirect
111. #11718835	C₂²	semidirect
112. #11718835	C₂²	semidirect
113. #11718834	C₂²	semidirect
115. #11718833	C₂²	semidirect
116. #11718833	C₂²	semidirect
118. #11718831	C₂²	semidirect
119. #11718831	C₂²	semidirect
120. #11718831	C₂²	semidirect
121. #11718831	C₂²	semidirect
122. #11718827	C₂²	semidirect
123. #11718825	C₂²	semidirect
124. #11718824	C₂²	semidirect
125. #11718823	C₂²	semidirect
127. #11718819	C₂²	semidirect
128. #11718818	C₂²	semidirect
130. #11718817	C₂²	semidirect
131. #11718817	C₂²	semidirect
132. #11718815	C₂²	semidirect
133. #11718814	C₂²	semidirect
134. #11718795	C₂²	semidirect
135. #11718795	C₂²	semidirect
136. #11718794	C₂²	semidirect
137. #11718794	C₂²	semidirect
138. #11718790	C₂²	semidirect
139. #11718789	C₂²	semidirect
140. #11718788	C₂²	semidirect
141. #11718787	C₂²	semidirect
142. #11718721	C₂²	semidirect
143. #11718718	C₂²	semidirect
144. #11718718	C₂²	semidirect
145. #11718716	C₂²	semidirect
146. #11718713	C₂²	semidirect
147. #11718710	C₂²	semidirect
148. #11718708	C₂²	semidirect
149. #11718705	C₂²	semidirect
150. #11718702	C₂²	semidirect
151. #11718699	C₂²	semidirect
152. #11718698	C₂²	semidirect
153. #11718694	C₂²	semidirect
154. #11718687	C₂²	semidirect
155. #11718682	C₂²	semidirect
156. #11718680	C₂²	semidirect
157. #11718675	C₂²	semidirect
158. #11718672	C₂²	semidirect
159. #11718532	C₂²	semidirect
160. #11718528	C₂²	semidirect
161. #11718528	C₂²	semidirect
162. #11718524	C₂²	semidirect
163. #11718507	C₂²	semidirect
164. #11718502	C₂²	semidirect
165. #11718501	C₂²	semidirect
166. #11718497	C₂²	semidirect
167. #11718478	C₂²	semidirect
168. #11718475	C₂²	semidirect
169. #11718474	C₂²	semidirect
170. #11718472	C₂²	semidirect
171. #11718471	C₂²	semidirect
172. #11718470	C₂²	semidirect
173. #11718467	C₂²	semidirect
174. #11718465	C₂²	semidirect
175. #11718463	C₂²	semidirect
176. #11718463	C₂²	semidirect
177. #11718458	C₂²	semidirect
178. #11718457	C₂²	semidirect
179. #11718447	C₂²	semidirect
180. #11718445	C₂²	semidirect
181. #11718442	C₂²	semidirect
183. #11718441	C₂²	semidirect
184. #11718441	C₂²	semidirect
185. #11718437	C₂²	semidirect
186. #11718435	C₂²	semidirect
187. #11718435	C₂²	semidirect
188. #11718431	C₂²	semidirect
189. #11718429	C₂²	semidirect
190. #11718417	C₂²	semidirect
192. #11718395	C₂²	semidirect
193. #11718391	C₂²	semidirect
194. #11718390	C₂²	semidirect
195. #11718388	C₂²	semidirect
196. #11718387	C₂²	semidirect
197. #11718383	C₂²	semidirect
198. #11718383	C₂²	semidirect
199. C₄×D₁₀₄	C₂²	semidirect
200. #11718351	C₂²	semidirect
201. #11718349	C₂²	semidirect
202. #11718342	C₂²	semidirect
750. #3275	D₁₃	semidirect
914. C₂×#137	C₂×D₁₃	semidirect
931. #548	C₂×D₁₃	semidirect
943. #546	C₂×D₁₃	semidirect
966. #495	C₂×D₁₃	semidirect
989. #470	C₂×D₁₃	semidirect
990. #469	C₂×D₁₃	semidirect
1005. #464	C₂×D₁₃	semidirect
1009. #463	C₂×D₁₃	semidirect
1023. #452	C₂×D₁₃	semidirect
1028. #450	C₂×D₁₃	semidirect
1040. #449	C₂×D₁₃	semidirect
1048. #448	C₂×D₁₃	semidirect
1057. C₄×SD₁₆	C₂×D₁₃	semidirect
1063. #436	C₂×D₁₃	semidirect
1687. C₁₃	#61656	semidirect

Maximal subgroups

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

subgroup	index
#13129138	2
#13128515	2
#13127142	2
#13127132	2
#13127097	2
#13127032	2
#13127011	2
#13126999	2
#13126927	2
#13126827	2
#13126496	2
#13126445	2
#13126434	2
#13126369	2
#13126357	2
#13126341	2
#13126325	2
#13125938	2
#13125894	2
#13125735	2
#13125683	2
#13125667	2
#13125639	2
#13125097	2
#13125041	2
#13124150	2
#13124117	2
#13124084	2
#13124079	2
#13123893	2
C₁₃×#3275	2
#61656	13