Subgroups — D₁₃×#3321 #16739661

Order 3328.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1854 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#555	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#548	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127029	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127028	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127027	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127026	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127025	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127024	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127023	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127022	C₂	1	1	yes	maximal, characteristic, complemented
11	#13127021	C₂	1	1	yes	maximal, characteristic, complemented
12	#13127020	C₂	1	1	yes	maximal, characteristic, complemented
13	#13127019	C₂	1	1	yes	maximal, characteristic, complemented
14	#13127018	C₂	1	1	yes	maximal, characteristic, complemented
15	#13127017	C₂	1	1	yes	maximal, characteristic, complemented
16	#13127016	C₂	1	1	yes	maximal, characteristic, complemented
17	#13127015	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#489	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#485	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#482	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#475	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#469	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#465	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#448	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#419	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#416	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
36	#11719536	C₂²	1	1	yes	characteristic, complemented
37	#11719522	C₂²	1	1	yes	characteristic, complemented
38	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
39	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
41	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
42	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
43	#11719439	C₂²	1	1	yes	characteristic, complemented
44	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
45	#11719382	—	2	1	no	—
46	#11719382	C₂²	1	1	yes	characteristic, complemented
47	D₁₃×#124	—	2	1	no	—
48	D₁₃×#124	—	2	1	no	—
49	D₁₃×#124	—	2	1	no	—
50	D₁₃×#124	C₂²	1	1	yes	characteristic
51	#11719375	—	2	1	no	—
52	#11719375	—	2	1	no	—
53	#11719338	—	2	1	no	—
54	#11719338	C₂²	1	1	yes	characteristic, complemented
55	D₁₃×C₂²⋊Q₈	—	2	1	no	—
56	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
57	#11719321	—	2	1	no	—
58	#11719321	C₂²	1	1	yes	characteristic, complemented
59	#11719321	C₂²	1	1	yes	characteristic, complemented
60	D₁₃×#121	—	2	1	no	—
61	D₁₃×#121	—	2	1	no	—
62	D₁₃×#121	C₂²	1	1	yes	characteristic
63	D₁₃×#121	C₂²	1	1	yes	characteristic
64	D₁₃×#121	C₂²	1	1	yes	characteristic
65	#11719303	—	2	1	no	—
66	#11719303	C₂²	1	1	yes	characteristic, complemented
67	#11719281	C₂²	1	1	yes	characteristic, complemented
68	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
69	#11719268	C₂²	1	1	yes	characteristic, complemented
70	#11719268	C₂²	1	1	yes	characteristic, complemented
71	#11719257	—	2	1	no	—
72	#11719257	C₂²	1	1	yes	characteristic, complemented
73	C₄×D₄×D₁₃	—	2	1	no	—
74	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
75	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
76	#11719237	—	2	1	no	—
77	#11719237	C₂²	1	1	yes	characteristic, complemented
78	#11719237	C₂²	1	1	yes	characteristic, complemented
79	D₁₃×#117	—	2	1	no	—
80	D₁₃×#117	C₂²	1	1	yes	characteristic
81	D₁₃×#117	C₂²	1	1	yes	characteristic
82	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
95	#11718899	C₂²	1	1	yes	characteristic, complemented
96	#11718894	C₂²	1	1	yes	characteristic, complemented
97	#11718888	C₂²	1	1	yes	characteristic, complemented
98	#11718886	C₂²	1	1	yes	characteristic, complemented
99	#11718833	C₂²	1	1	yes	characteristic, complemented
100	#11718832	C₂²	1	1	yes	characteristic, complemented
101	#11718831	C₂²	1	1	yes	characteristic, complemented
102	#11718831	C₂²	1	1	yes	characteristic, complemented
103	#11718826	C₂²	1	1	yes	characteristic, complemented
104	#11718825	C₂²	1	1	yes	characteristic, complemented
105	#11718820	C₂²	1	1	yes	characteristic, complemented
106	#11718819	C₂²	1	1	yes	characteristic, complemented
107	#11718814	C₂²	1	1	yes	characteristic, complemented
108	#11718796	C₂²	1	1	yes	characteristic, complemented
109	#11718788	C₂²	1	1	yes	characteristic, complemented
110	#11718781	C₂²	1	1	yes	characteristic, complemented
111	#11718775	C₂²	1	1	yes	characteristic, complemented
112	#11718774	C₂²	1	1	yes	characteristic, complemented
113	#11718772	C₂²	1	1	yes	characteristic, complemented
114	#11718755	C₂²	1	1	yes	characteristic, complemented
115	#11718750	C₂²	1	1	yes	characteristic, complemented
116	#11718718	C₂²	1	1	yes	characteristic, complemented
117	#11718716	C₂²	1	1	yes	characteristic, complemented
118	#11718709	C₂²	1	1	yes	characteristic, complemented
119	#11718706	C₂²	1	1	yes	characteristic, complemented
120	#11718702	C₂²	1	1	yes	characteristic, complemented
121	#11718701	C₂²	1	1	yes	characteristic, complemented
122	#11718700	C₂²	1	1	yes	characteristic, complemented
123	#11718700	C₂²	1	1	yes	characteristic, complemented
124	#11718698	C₂²	1	1	yes	characteristic, complemented
125	#11718696	C₂²	1	1	yes	characteristic, complemented
126	#11718687	C₂²	1	1	yes	characteristic, complemented
127	#11718681	C₂²	1	1	yes	characteristic, complemented
128	#11718679	C₂²	1	1	yes	characteristic, complemented
129	#11718677	C₂²	1	1	yes	characteristic, complemented
130	#11718672	C₂²	1	1	yes	characteristic, complemented
131	#11718665	C₂²	1	1	yes	characteristic, complemented
132	#11718664	C₂²	1	1	yes	characteristic, complemented
133	#11718663	C₂²	1	1	yes	characteristic, complemented
134	#11718657	C₂²	1	1	yes	characteristic, complemented
135	#11718550	C₂²	1	1	yes	characteristic, complemented
136	#11718549	C₂²	1	1	yes	characteristic, complemented
137	#11718546	C₂²	1	1	yes	characteristic, complemented
138	D₁₃×#107	C₂²	1	1	yes	characteristic
139	#11718528	C₂²	1	1	yes	characteristic, complemented
140	#11718527	C₂²	1	1	yes	characteristic, complemented
141	#11718526	C₂²	1	1	yes	characteristic, complemented
142	#11718525	C₂²	1	1	yes	characteristic, complemented
143	D₁₃×#106	C₂²	1	1	yes	characteristic
144	D₁₃×#106	C₂²	1	1	yes	characteristic
145	#11718515	C₂²	1	1	yes	characteristic, complemented
146	#11718515	C₂²	1	1	yes	characteristic, complemented
147	#11718512	C₂²	1	1	yes	characteristic, complemented
148	#11718505	C₂²	1	1	yes	characteristic, complemented
149	#11718497	C₂²	1	1	yes	characteristic, complemented
150	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
151	#11718480	C₂²	1	1	yes	characteristic, complemented
152	#11718478	C₂²	1	1	yes	characteristic, complemented
153	#11718476	C₂²	1	1	yes	characteristic, complemented
154	#11718475	C₂²	1	1	yes	characteristic, complemented
155	#11718472	C₂²	1	1	yes	characteristic, complemented
156	#11718468	C₂²	1	1	yes	characteristic, complemented
157	#11718467	C₂²	1	1	yes	characteristic, complemented
158	#11718467	C₂²	1	1	yes	characteristic, complemented
159	#11718465	C₂²	1	1	yes	characteristic, complemented
160	#11718465	C₂²	1	1	yes	characteristic, complemented
161	#11718463	C₂²	1	1	yes	characteristic, complemented
162	#11718463	C₂²	1	1	yes	characteristic, complemented
163	#11718463	C₂²	1	1	yes	characteristic, complemented
164	#11718463	C₂²	1	1	yes	characteristic, complemented
165	D₁₃×#103	C₂²	1	1	yes	characteristic
166	D₁₃×#103	C₂²	1	1	yes	characteristic
167	D₁₃×#103	C₂²	1	1	yes	characteristic
168	D₁₃×#103	C₂²	1	1	yes	characteristic
169	D₁₃×#103	C₂²	1	1	yes	characteristic
170	D₁₃×#103	C₂²	1	1	yes	characteristic
171	#11718456	C₂²	1	1	yes	characteristic, complemented
172	#11718456	C₂²	1	1	yes	characteristic, complemented
173	#11718452	C₂²	1	1	yes	characteristic, complemented
174	#11718452	C₂²	1	1	yes	characteristic, complemented
175	#11718448	C₂²	1	1	yes	characteristic, complemented
176	#11718445	C₂²	1	1	yes	characteristic, complemented
177	#11718443	C₂²	1	1	yes	characteristic, complemented
178	#11718443	C₂²	1	1	yes	characteristic, complemented
179	#11718442	C₂²	1	1	yes	characteristic, complemented
180	#11718440	C₂²	1	1	yes	characteristic, complemented
181	#11718439	C₂²	1	1	yes	characteristic, complemented
182	#11718433	C₂²	1	1	yes	characteristic, complemented
183	#11718433	C₂²	1	1	yes	characteristic, complemented
184	D₁₃×#102	C₂²	1	1	yes	characteristic
185	D₁₃×#102	C₂²	1	1	yes	characteristic
186	D₁₃×#102	C₂²	1	1	yes	characteristic
187	D₁₃×#102	C₂²	1	1	yes	characteristic
188	#11718426	C₂²	1	1	yes	characteristic, complemented
189	#11718426	C₂²	1	1	yes	characteristic, complemented
190	#11718418	C₂²	1	1	yes	characteristic, complemented
191	#11718399	C₂²	1	1	yes	characteristic, complemented
192	#11718398	C₂²	1	1	yes	characteristic, complemented
193	#11718395	C₂²	1	1	yes	characteristic, complemented
194	#11718391	C₂²	1	1	yes	characteristic, complemented
195	#11718389	C₂²	1	1	yes	characteristic, complemented
196	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
198	#11718384	C₂²	1	1	yes	characteristic, complemented
199	#11718375	C₂²	1	1	yes	characteristic, complemented
200	#11718371	C₂²	1	1	yes	characteristic, complemented
201	#11718367	C₂²	1	1	yes	characteristic, complemented
202	D₁₃×#97	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	#41×D₁₃	—	2	4	no	—
206	#41×D₁₃	—	4	2	no	—
207	C₂×#6131	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₁₃	—	2	1	no	—
209	C₂×Q₈×D₁₃	—	2	1	no	—
210	C₂×Q₈×D₁₃	—	2	1	no	—
211	C₂×Q₈×D₁₃	—	2	4	no	—
212	C₂×Q₈×D₁₃	—	4	2	no	—
213	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
216	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×#6129	—	2	1	no	—
218	C₂×#6129	C₂³	1	1	yes	characteristic
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	—	2	1	no	—
222	C₂×D₄×D₁₃	—	2	1	no	—
223	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
228	C₂²×C₄×D₁₃	—	2	1	no	—
229	C₂²×C₄×D₁₃	—	2	1	no	—
230	C₂²×C₄×D₁₃	—	2	1	no	—
231	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
233	C₂²×Dic₂₆	—	2	1	no	—
234	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₁₃×#124	—	2	1	no	—
242	C₁₃×#124	—	2	1	no	—
243	C₁₃×#124	—	2	1	no	—
244	C₁₃×#124	C₂³	1	1	yes	characteristic
245	C₁₃×C₂²⋊Q₈	—	2	1	no	—
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×#121	—	2	1	no	—
248	C₁₃×#121	—	2	1	no	—
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#121	C₂³	1	1	yes	characteristic
252	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	C₂³	1	1	yes	characteristic
258	C₁₃×#117	C₂³	1	1	yes	characteristic
259	#88201	—	2	1	no	—
260	#88201	—	2	1	no	—
261	#88201	—	2	1	no	—
262	#88201	C₂³	1	1	yes	characteristic
263	#88200	—	2	1	no	—
264	#88200	C₂³	1	1	yes	characteristic
265	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
266	#88198	—	2	1	no	—
267	C₂×#6106	C₂³	1	1	yes	characteristic
268	C₂×#6106	C₂³	1	1	yes	characteristic
269	#88193	—	2	1	no	—
270	#88193	—	2	1	no	—
271	#88193	—	2	1	no	—
272	#88193	—	2	1	no	—
273	#88193	—	2	1	no	—
274	#88193	—	2	1	no	—
275	#88193	—	2	1	no	—
276	#88192	—	2	1	no	—
277	#88192	—	2	1	no	—
278	#88192	C₂³	1	1	yes	characteristic
279	#88192	C₂³	1	1	yes	characteristic
280	#88192	C₂³	1	1	yes	characteristic
281	#88190	—	2	1	no	—
282	#88190	—	2	1	no	—
283	#88190	—	2	1	no	—
284	#88190	C₂³	1	1	yes	characteristic
285	D₄×Dic₁₃	—	2	1	no	—
286	D₄×Dic₁₃	D₄	1	1	yes	characteristic
287	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
288	C₂×#6105	C₂³	1	1	yes	characteristic
289	C₂×#6105	C₂³	1	1	yes	characteristic
290	C₂×#6104	C₂³	1	1	yes	characteristic
291	C₂×#6104	C₂³	1	1	yes	characteristic
292	#88184	—	2	1	no	—
293	#88184	—	2	1	no	—
294	#88184	C₂³	1	1	yes	characteristic
295	#88184	C₂³	1	1	yes	characteristic
296	#88184	C₂³	1	1	yes	characteristic
297	C₄×C₂²⋊D₁₃	—	2	1	no	—
298	C₄×C₂²⋊D₁₃	—	2	1	no	—
299	C₄×C₂²⋊D₁₃	—	2	1	no	—
300	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
301	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
302	#88180	—	2	1	no	—
303	#88180	C₂³	1	1	yes	characteristic
304	#88180	C₂³	1	1	yes	characteristic
305	#88178	—	2	1	no	—
306	#88178	C₂³	1	1	yes	characteristic
307	C₂×#6099	C₂³	1	1	yes	characteristic
308	C₂²×#1055	C₂³	1	1	yes	characteristic
309	SD₁₆×D₁₃	—	2	4	no	—
310	SD₁₆×D₁₃	—	4	2	no	—
311	D₈×D₁₃	—	4	2	no	—
312	M₁₆×D₁₃	—	4	2	no	—
313	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
314	C₂×#6095	C₂³	1	1	yes	characteristic
315	C₂×#6095	C₂³	1	1	yes	characteristic
316	C₂×#6094	C₂³	1	1	yes	characteristic
317	C₂×#6094	C₂³	1	1	yes	characteristic
318	C₂×C₈×D₁₃	—	4	2	no	—
319	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
321	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
322	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
325	#88151	—	2	1	no	—
326	#88151	C₂³	1	1	yes	characteristic
327	#88150	—	2	1	no	—
328	#88150	—	2	1	no	—
329	#88150	—	2	1	no	—
330	#88149	—	2	1	no	—
331	#88149	—	2	1	no	—
332	#88149	C₂³	1	1	yes	characteristic
333	#88149	C₂³	1	1	yes	characteristic
334	#88149	C₂³	1	1	yes	characteristic
335	#88147	—	2	1	no	—
336	#88147	D₄	1	1	yes	characteristic
337	#88147	C₂³	1	1	yes	characteristic
338	#88146	—	2	1	no	—
339	#88146	—	2	1	no	—
340	#88146	C₂³	1	1	yes	characteristic
341	#88146	C₂³	1	1	yes	characteristic
342	#88146	C₂³	1	1	yes	characteristic
343	#88146	C₂³	1	1	yes	characteristic
344	C₄⋊C₄×D₁₃	—	2	1	no	—
345	C₄⋊C₄×D₁₃	—	2	1	no	—
346	C₄⋊C₄×D₁₃	—	2	1	no	—
347	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
348	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
349	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
350	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
351	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
352	#88142	—	2	1	no	—
353	#88142	C₂³	1	1	yes	characteristic
354	#88142	C₂³	1	1	yes	characteristic
355	#88141	—	2	1	no	—
356	#88141	C₂³	1	1	yes	characteristic
357	#88139	—	2	1	no	—
358	#88139	—	2	1	no	—
359	#88139	—	2	1	no	—
360	#88139	—	2	1	no	—
361	#88139	—	2	1	no	—
362	#88139	—	2	1	no	—
363	#88139	—	2	1	no	—
364	#88139	—	2	1	no	—
365	#88139	—	2	1	no	—
366	#88139	—	2	1	no	—
367	#88139	—	2	1	no	—
368	#88139	—	2	1	no	—
369	#88139	—	2	1	no	—
370	#88139	—	2	1	no	—
371	#88138	—	2	1	no	—
372	#88138	—	2	1	no	—
373	#88138	—	2	1	no	—
374	#88138	—	2	1	no	—
375	#88138	—	2	1	no	—
376	#88138	—	2	1	no	—
377	#88138	—	2	1	no	—
378	#88135	—	2	1	no	—
379	#88135	—	2	1	no	—
380	#88135	—	2	1	no	—
381	#88135	D₄	1	1	yes	characteristic
382	#88135	D₄	1	1	yes	characteristic
383	C₂²⋊C₄×D₁₃	—	2	1	no	—
384	C₂²⋊C₄×D₁₃	—	2	1	no	—
385	C₂²⋊C₄×D₁₃	—	2	1	no	—
386	C₂²⋊C₄×D₁₃	—	2	1	no	—
387	C₂²⋊C₄×D₁₃	—	2	1	no	—
388	C₂²⋊C₄×D₁₃	—	2	1	no	—
389	C₂²⋊C₄×D₁₃	—	2	1	no	—
390	C₂²⋊C₄×D₁₃	—	2	1	no	—
391	C₂²⋊C₄×D₁₃	—	2	1	no	—
392	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
393	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
394	#88132	—	2	1	no	—
395	#88132	—	2	1	no	—
396	#88132	—	2	1	no	—
397	#88131	—	2	1	no	—
398	#88131	—	2	1	no	—
399	#88131	—	2	1	no	—
400	#88131	—	2	1	no	—
401	#88129	—	2	1	no	—
402	#88129	—	2	1	no	—
403	#88129	—	2	1	no	—
404	#88129	C₂³	1	1	yes	characteristic
405	C₄×D₅₂	—	2	1	no	—
406	C₄×D₅₂	C₂³	1	1	yes	characteristic
407	C₄×D₅₂	C₂³	1	1	yes	characteristic
408	#88126	—	2	1	no	—
409	#88126	—	2	1	no	—
410	#88126	—	2	1	no	—
411	#88126	—	2	1	no	—
412	C₄²×D₁₃	—	2	1	no	—
413	C₄²×D₁₃	—	2	1	no	—
414	C₄²×D₁₃	—	2	1	no	—
415	C₄²×D₁₃	C₂³	1	1	yes	characteristic
416	#88123	C₂³	1	1	yes	characteristic
417	C₄×Dic₂₆	—	2	1	no	—
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₁₃×#107	C₂³	1	1	yes	characteristic
420	C₁₃×#106	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#103	C₂³	1	1	yes	characteristic
427	C₁₃×#103	C₂³	1	1	yes	characteristic
428	C₁₃×#103	C₂³	1	1	yes	characteristic
429	C₁₃×#102	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	C₁₃×#102	C₂³	1	1	yes	characteristic
432	C₁₃×#102	C₂³	1	1	yes	characteristic
433	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₃×#97	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88075	C₂³	1	1	yes	characteristic
439	#88075	C₂³	1	1	yes	characteristic
440	#88075	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88060	C₂³	1	1	yes	characteristic
453	#88060	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88058	C₂³	1	1	yes	characteristic
457	#88057	C₂³	1	1	yes	characteristic
458	#88057	C₂³	1	1	yes	characteristic
459	#88056	C₂³	1	1	yes	characteristic
460	#88056	C₂³	1	1	yes	characteristic
461	#88056	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88055	C₂³	1	1	yes	characteristic
466	#88055	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	#88054	C₂³	1	1	yes	characteristic
469	#88050	C₂³	1	1	yes	characteristic
470	#88050	C₂³	1	1	yes	characteristic
471	#88050	C₂³	1	1	yes	characteristic
472	#88050	C₂³	1	1	yes	characteristic
473	#88050	C₂³	1	1	yes	characteristic
474	#88050	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88048	C₂³	1	1	yes	characteristic
481	#88048	C₂³	1	1	yes	characteristic
482	#88048	C₂³	1	1	yes	characteristic
483	#88047	C₂³	1	1	yes	characteristic
484	#88047	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	#88043	C₂³	1	1	yes	characteristic
487	C₂×#3321	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	—	2	1	no	—
490	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
491	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
492	C₁₃×#41	—	2	2	no	—
493	C₁₃×#41	—	4	1	no	—
494	C₂×Q₈×C₁₃	—	2	1	no	—
495	C₂×Q₈×C₁₃	—	2	1	no	—
496	C₂×Q₈×C₁₃	—	2	2	no	—
497	C₂×Q₈×C₁₃	—	4	1	no	—
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
505	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₁₃	—	2	1	no	—
508	C₂²×C₄×C₁₃	—	2	1	no	—
509	C₂²×C₄×C₁₃	—	2	1	no	—
510	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
523	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
524	C₂²×Dic₁₃	—	2	1	no	—
525	C₂²×Dic₁₃	—	2	1	no	—
526	C₂²×Dic₁₃	—	2	1	no	—
527	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
529	#6131	—	2	2	no	—
530	#6131	—	4	1	no	—
531	Q₈×D₁₃	—	2	2	no	—
532	Q₈×D₁₃	—	2	2	no	—
533	Q₈×D₁₃	—	2	2	no	—
534	Q₈×D₁₃	—	2	2	no	—
535	Q₈×D₁₃	—	2	2	no	—
536	Q₈×D₁₃	—	4	1	no	—
537	Q₈×D₁₃	—	4	1	no	—
538	Q₈×D₁₃	—	4	4	no	—
539	Q₈×D₁₃	—	4	4	no	—
540	Q₈×D₁₃	—	8	2	no	—
541	Q₈×D₁₃	#41	1	4	yes	—
542	#6129	—	2	2	no	—
543	#6129	—	4	1	no	—
544	#6129	—	4	4	no	—
545	D₄×D₁₃	—	2	2	no	—
546	D₄×D₁₃	—	2	2	no	—
547	D₄×D₁₃	—	2	2	no	—
548	D₄×D₁₃	—	2	2	no	—
549	D₄×D₁₃	—	4	2	no	—
550	D₄×D₁₃	—	4	4	no	—
551	D₄×D₁₃	—	4	4	no	—
552	D₄×D₁₃	—	8	2	no	—
553	D₄×D₁₃	—	8	2	no	—
554	#6127	—	2	2	no	—
555	#6127	—	4	4	no	—
556	#6127	—	4	1	no	—
557	C₂×D₅₂	—	2	1	no	—
558	C₂×D₅₂	—	2	1	no	—
559	C₂×D₅₂	—	2	1	no	—
560	C₂×D₅₂	—	2	1	no	—
561	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
562	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
563	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
564	C₂×C₄×D₁₃	—	2	1	no	—
565	C₂×C₄×D₁₃	—	2	2	no	—
566	C₂×C₄×D₁₃	—	2	2	no	—
567	C₂×C₄×D₁₃	—	2	2	no	—
568	C₂×C₄×D₁₃	—	2	2	no	—
569	C₂×C₄×D₁₃	—	2	1	no	—
570	C₂×C₄×D₁₃	—	2	1	no	—
571	C₂×C₄×D₁₃	—	2	1	no	—
572	C₂×C₄×D₁₃	—	2	1	no	—
573	C₂×C₄×D₁₃	—	2	1	no	—
574	C₂×C₄×D₁₃	—	2	1	no	—
575	C₂×C₄×D₁₃	—	2	1	no	—
576	C₂×C₄×D₁₃	—	2	1	no	—
577	C₂×C₄×D₁₃	—	2	1	no	—
578	C₂×C₄×D₁₃	—	2	1	no	—
579	C₂×C₄×D₁₃	—	2	1	no	—
580	C₂×C₄×D₁₃	—	4	4	no	—
581	C₂×C₄×D₁₃	—	4	4	no	—
582	C₂×C₄×D₁₃	—	4	4	no	—
583	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
584	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
585	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
586	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
587	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
588	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
589	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
590	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
591	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
592	C₂×Dic₂₆	—	2	1	no	—
593	C₂×Dic₂₆	—	2	2	no	—
594	C₂×Dic₂₆	—	2	1	no	—
595	C₂×Dic₂₆	—	2	1	no	—
596	C₂×Dic₂₆	—	2	1	no	—
597	C₂×Dic₂₆	—	2	1	no	—
598	C₂×Dic₂₆	—	2	1	no	—
599	C₂×Dic₂₆	—	2	1	no	—
600	C₂×Dic₂₆	—	2	1	no	—
601	C₂×Dic₂₆	—	4	1	no	—
602	C₂×Dic₂₆	—	4	4	no	—
603	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
604	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
605	C₁₃×SD₁₆	—	2	2	no	—
606	C₁₃×SD₁₆	—	4	1	no	—
607	C₁₃×D₈	—	4	1	no	—
608	C₁₃×M₁₆	—	4	1	no	—
609	C₂×C₈×C₁₃	—	4	1	no	—
610	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
611	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
612	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
613	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
614	C₁₃×C₄⋊C₄	—	2	1	no	—
615	C₁₃×C₄⋊C₄	—	2	1	no	—
616	C₁₃×C₄⋊C₄	—	2	1	no	—
617	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
622	C₁₃×C₂²⋊C₄	—	2	1	no	—
623	C₁₃×C₂²⋊C₄	—	2	1	no	—
624	C₁₃×C₂²⋊C₄	—	2	1	no	—
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₄²×C₁₃	—	2	1	no	—
634	C₄²×C₁₃	—	2	1	no	—
635	C₄²×C₁₃	—	2	1	no	—
636	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
637	C₂²⋊Dic₁₃	—	2	1	no	—
638	C₂²⋊Dic₁₃	—	2	1	no	—
639	C₂²⋊Dic₁₃	—	2	1	no	—
640	C₂²⋊Dic₁₃	—	2	1	no	—
641	C₂²⋊Dic₁₃	—	2	1	no	—
642	C₂²⋊Dic₁₃	—	2	1	no	—
643	C₂²⋊Dic₁₃	—	2	1	no	—
644	C₂²⋊Dic₁₃	—	2	1	no	—
645	C₂²⋊Dic₁₃	—	2	1	no	—
646	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
648	#6106	—	2	2	no	—
649	#6106	—	4	1	no	—
650	#6105	—	2	2	no	—
651	#6105	—	4	1	no	—
652	#6104	—	4	1	no	—
653	#6104	—	4	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	2	1	no	—
667	#6103	—	2	1	no	—
668	#6103	—	2	1	no	—
669	#6103	—	2	1	no	—
670	#6103	—	2	1	no	—
671	#6103	—	2	1	no	—
672	#6103	C₂×D₄	1	1	yes	characteristic
673	#6103	C₂×D₄	1	1	yes	characteristic
674	#6103	C₂×D₄	1	1	yes	characteristic
675	#6103	C₂×D₄	1	1	yes	characteristic
676	C₄⋊Dic₁₃	—	2	1	no	—
677	C₄⋊Dic₁₃	—	2	1	no	—
678	C₄⋊Dic₁₃	—	2	1	no	—
679	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
680	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
681	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
682	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
683	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	#6101	—	2	1	no	—
688	#6101	—	2	1	no	—
689	#6101	—	2	1	no	—
690	#6101	—	2	1	no	—
691	#6101	—	2	1	no	—
692	#6101	—	2	1	no	—
693	#6101	—	2	1	no	—
694	#6101	C₂×D₄	1	1	yes	characteristic
695	#6101	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
704	C₄×Dic₁₃	—	2	1	no	—
705	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
706	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
707	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
708	#6099	—	4	1	no	—
709	C₂×#1055	—	4	1	no	—
710	C₂×#1055	C₂⁴	1	1	yes	characteristic
711	C₂×#1055	C₂⁴	1	1	yes	characteristic
712	C₂×#1055	C₂⁴	1	1	yes	characteristic
713	C₂×#1055	C₂⁴	1	1	yes	characteristic
714	D₁₀₄	—	4	1	no	—
715	#6095	—	2	2	no	—
716	#6095	—	4	1	no	—
717	#6094	—	4	1	no	—
718	#6094	—	4	1	no	—
719	C₈×D₁₃	—	2	2	no	—
720	C₈×D₁₃	—	2	2	no	—
721	C₈×D₁₃	—	2	2	no	—
722	C₈×D₁₃	—	2	2	no	—
723	C₈×D₁₃	—	4	1	no	—
724	C₈×D₁₃	—	4	1	no	—
725	C₂×#555	—	13	1	no	—
726	C₂×#548	—	13	1	no	—
727	#3321	—	13	1	no	—
728	#3321	—	13	1	no	—
729	#3321	—	13	1	no	—
730	#3321	—	13	1	no	—
731	#3321	—	13	1	no	—
732	#3321	—	13	1	no	—
733	#3321	—	13	1	no	—
734	#3321	—	13	1	no	—
735	#3321	—	13	1	no	—
736	#3321	—	13	1	no	—
737	#3321	—	13	1	no	—
738	#3321	—	13	1	no	—
739	#3321	—	13	1	no	—
740	#3321	—	13	1	no	—
741	#3321	—	13	1	no	—
742	#3321	D₁₃	1	1	yes	characteristic, direct product factor
743	C₂×#489	—	13	1	no	—
744	C₂×#485	—	13	1	no	—
745	C₂×#482	—	13	1	no	—
746	C₂×#475	—	13	1	no	—
747	C₂×#469	—	13	1	no	—
748	C₂×#465	—	13	1	no	—
749	C₂×#463	—	13	1	no	—
750	C₂×#449	—	13	1	no	—
751	C₂×#448	—	13	1	no	—
752	C₂×#440	—	13	1	no	—
753	C₂×#435	—	13	1	no	—
754	C₂×#419	—	13	1	no	—
755	C₂×#416	—	13	1	no	—
756	C₂³×C₁₃	—	2	1	no	—
757	C₂³×C₁₃	—	2	1	no	—
758	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
759	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
760	C₂²×D₁₃	—	2	2	no	—
761	C₂²×D₁₃	—	2	2	no	—
762	C₂²×D₁₃	—	2	2	no	—
763	C₂²×D₁₃	—	2	2	no	—
764	C₂²×D₁₃	—	2	2	no	—
765	C₂²×D₁₃	—	2	2	no	—
766	C₂²×D₁₃	—	2	1	no	—
767	C₂²×D₁₃	—	2	1	no	—
768	C₂²×D₁₃	—	4	2	no	—
769	C₂²×D₁₃	—	4	2	no	—
770	C₂²×D₁₃	—	4	2	no	—
771	C₂²×D₁₃	—	4	2	no	—
772	C₂²×D₁₃	—	4	2	no	—
773	C₂²×D₁₃	—	4	2	no	—
774	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
775	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
776	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
777	Q₈×C₁₃	—	2	1	no	—
778	Q₈×C₁₃	—	2	1	no	—
779	Q₈×C₁₃	—	2	1	no	—
780	Q₈×C₁₃	—	4	2	no	—
781	Q₈×C₁₃	—	8	1	no	—
782	Q₈×C₁₃	C₂×#41	1	2	yes	—
783	D₄×C₁₃	—	2	1	no	—
784	D₄×C₁₃	—	2	1	no	—
785	D₄×C₁₃	—	2	1	no	—
786	D₄×C₁₃	—	2	1	no	—
787	D₄×C₁₃	—	4	1	no	—
788	D₄×C₁₃	—	4	2	no	—
789	D₄×C₁₃	—	4	2	no	—
790	D₄×C₁₃	—	8	1	no	—
791	D₄×C₁₃	—	8	1	no	—
792	C₂×C₄×C₁₃	—	2	1	no	—
793	C₂×C₄×C₁₃	—	2	1	no	—
794	C₂×C₄×C₁₃	—	2	1	no	—
795	C₂×C₄×C₁₃	—	2	1	no	—
796	C₂×C₄×C₁₃	—	2	1	no	—
797	C₂×C₄×C₁₃	—	2	1	no	—
798	C₂×C₄×C₁₃	—	2	1	no	—
799	C₂×C₄×C₁₃	—	2	1	no	—
800	C₂×C₄×C₁₃	—	2	1	no	—
801	C₂×C₄×C₁₃	—	2	1	no	—
802	C₂×C₄×C₁₃	—	4	2	no	—
803	C₂×C₄×C₁₃	—	4	2	no	—
804	C₂×C₄×C₁₃	—	4	2	no	—
805	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
810	C₂²⋊D₁₃	—	4	1	no	—
811	C₂²⋊D₁₃	—	4	1	no	—
812	C₂²⋊D₁₃	—	4	2	no	—
813	C₂²⋊D₁₃	—	4	2	no	—
814	C₂²⋊D₁₃	—	4	2	no	—
815	C₂²⋊D₁₃	—	4	2	no	—
816	C₂²⋊D₁₃	—	4	2	no	—
817	C₂²⋊D₁₃	—	4	2	no	—
818	C₂²⋊D₁₃	—	8	1	no	—
819	C₂²⋊D₁₃	—	8	1	no	—
820	C₂²⋊D₁₃	—	8	1	no	—
821	C₂²⋊D₁₃	—	8	1	no	—
822	C₂×Dic₁₃	—	2	1	no	—
823	C₂×Dic₁₃	—	2	2	no	—
824	C₂×Dic₁₃	—	2	2	no	—
825	C₂×Dic₁₃	—	2	1	no	—
826	C₂×Dic₁₃	—	2	1	no	—
827	C₂×Dic₁₃	—	2	1	no	—
828	C₂×Dic₁₃	—	2	1	no	—
829	C₂×Dic₁₃	—	2	1	no	—
830	C₂×Dic₁₃	—	4	2	no	—
831	C₂×Dic₁₃	—	4	2	no	—
832	C₂×Dic₁₃	—	4	2	no	—
833	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
834	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
835	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
836	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
837	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
838	D₅₂	—	2	1	no	—
839	D₅₂	—	2	1	no	—
840	D₅₂	—	2	1	no	—
841	D₅₂	—	2	1	no	—
842	D₅₂	—	4	1	no	—
843	D₅₂	—	4	2	no	—
844	D₅₂	—	4	2	no	—
845	D₅₂	—	8	1	no	—
846	D₅₂	—	8	1	no	—
847	C₄×D₁₃	—	2	2	no	—
848	C₄×D₁₃	—	2	2	no	—
849	C₄×D₁₃	—	2	4	no	—
850	C₄×D₁₃	—	2	2	no	—
851	C₄×D₁₃	—	2	2	no	—
852	C₄×D₁₃	—	2	1	no	—
853	C₄×D₁₃	—	2	1	no	—
854	C₄×D₁₃	—	2	1	no	—
855	C₄×D₁₃	—	2	1	no	—
856	C₄×D₁₃	—	2	2	no	—
857	C₄×D₁₃	—	2	2	no	—
858	C₄×D₁₃	—	4	2	no	—
859	C₄×D₁₃	—	4	2	no	—
860	C₄×D₁₃	—	4	2	no	—
861	C₄×D₁₃	—	4	2	no	—
862	C₄×D₁₃	—	4	2	no	—
863	C₄×D₁₃	—	4	2	no	—
864	C₄×D₁₃	—	4	2	no	—
865	C₄×D₁₃	—	4	2	no	—
866	C₄×D₁₃	—	4	2	no	—
867	C₄×D₁₃	—	4	2	no	—
868	C₄×D₁₃	—	4	2	no	—
869	C₄×D₁₃	C₂×#41	1	2	yes	—
870	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
871	Dic₂₆	—	2	1	no	—
872	Dic₂₆	—	2	4	no	—
873	Dic₂₆	—	2	1	no	—
874	Dic₂₆	—	2	1	no	—
875	Dic₂₆	—	4	2	no	—
876	Dic₂₆	—	4	2	no	—
877	Dic₂₆	—	4	2	no	—
878	Dic₂₆	—	4	2	no	—
879	Dic₂₆	—	8	1	no	—
880	Dic₂₆	—	8	1	no	—
881	Dic₂₆	—	8	1	no	—
882	Dic₂₆	C₂×#41	1	2	yes	—
883	C₈×C₁₃	—	2	1	no	—
884	C₈×C₁₃	—	2	1	no	—
885	C₈×C₁₃	—	2	1	no	—
886	C₈×C₁₃	—	2	1	no	—
887	#1055	—	2	1	no	—
888	#1055	—	2	1	no	—
889	#1055	—	2	1	no	—
890	#1055	—	2	1	no	—
891	C₂²×#41	—	13	1	no	—
892	C₂³×Q₈	—	13	1	no	—
893	C₂²×SD₁₆	—	13	1	no	—
894	C₂²×SD₁₆	—	13	1	no	—
895	C₂²×D₈	—	13	1	no	—
896	C₂²×M₁₆	—	13	1	no	—
897	C₂³×C₈	—	13	1	no	—
898	#555	—	13	1	no	—
899	#555	—	13	1	no	—
900	#555	—	13	1	no	—
901	#555	—	13	1	no	—
902	#555	—	13	1	no	—
903	#555	—	13	1	no	—
904	#555	—	13	1	no	—
905	#555	—	26	1	no	—
906	#555	—	26	1	no	—
907	#555	—	26	1	no	—
908	#555	—	26	1	no	—
909	#555	C₂×D₁₃	1	1	yes	characteristic, complemented
910	#548	—	13	1	no	—
911	#548	—	13	1	no	—
912	#548	—	13	1	no	—
913	#548	—	13	1	no	—
914	#548	—	13	1	no	—
915	#548	—	13	1	no	—
916	#548	—	13	1	no	—
917	#548	—	26	1	no	—
918	#548	—	26	1	no	—
919	#548	—	26	1	no	—
920	#548	—	26	1	no	—
921	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
922	C₂×C₄⋊Q₈	—	13	1	no	—
923	C₂×#124	—	13	1	no	—
924	C₂×#124	—	26	1	no	—
925	C₂×#124	—	26	1	no	—
926	C₂×#124	—	26	1	no	—
927	C₂×C₂²⋊Q₈	—	13	1	no	—
928	C₂×C₂²⋊Q₈	—	26	1	no	—
929	C₂×#121	—	13	1	no	—
930	C₂×#121	—	13	1	no	—
931	C₂×#121	—	13	1	no	—
932	C₂×#121	—	26	1	no	—
933	C₂×#121	—	26	1	no	—
934	C₂×C₄×Q₈	—	13	1	no	—
935	C₂×C₄×D₄	—	13	1	no	—
936	C₂×C₄×D₄	—	13	1	no	—
937	C₂×C₄×D₄	—	26	1	no	—
938	C₂×#117	—	13	1	no	—
939	C₂×#117	—	13	1	no	—
940	C₂×#117	—	26	1	no	—
941	#489	—	13	1	no	—
942	#489	—	13	1	no	—
943	#489	—	13	1	no	—
944	#489	—	13	1	no	—
945	#489	—	13	1	no	—
946	#489	—	13	1	no	—
947	#489	—	13	1	no	—
948	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
949	#485	—	13	1	no	—
950	#485	—	13	1	no	—
951	#485	—	13	1	no	—
952	#485	—	13	1	no	—
953	#485	—	13	1	no	—
954	#485	—	13	1	no	—
955	#485	—	13	1	no	—
956	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
957	#482	—	13	1	no	—
958	#482	—	13	1	no	—
959	#482	—	13	1	no	—
960	#482	—	13	1	no	—
961	#482	—	13	1	no	—
962	#482	—	13	1	no	—
963	#482	—	13	1	no	—
964	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
965	#475	—	13	1	no	—
966	#475	—	13	1	no	—
967	#475	—	13	1	no	—
968	#475	—	13	1	no	—
969	#475	—	13	1	no	—
970	#475	—	13	1	no	—
971	#475	—	13	1	no	—
972	#475	C₂×D₁₃	1	1	yes	characteristic, complemented
973	#469	—	13	1	no	—
974	#469	—	13	1	no	—
975	#469	—	13	1	no	—
976	#469	—	13	1	no	—
977	#469	—	13	1	no	—
978	#469	—	13	1	no	—
979	#469	—	13	1	no	—
980	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
981	#465	—	13	1	no	—
982	#465	—	13	1	no	—
983	#465	—	13	1	no	—
984	#465	—	13	1	no	—
985	#465	—	13	1	no	—
986	#465	—	13	1	no	—
987	#465	—	13	1	no	—
988	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
989	#463	—	13	1	no	—
990	#463	—	13	1	no	—
991	#463	—	13	1	no	—
992	#463	—	13	1	no	—
993	#463	—	13	1	no	—
994	#463	—	13	1	no	—
995	#463	—	13	1	no	—
996	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
997	#449	—	13	1	no	—
998	#449	—	13	1	no	—
999	#449	—	13	1	no	—
1000	#449	—	13	1	no	—
1001	#449	—	13	1	no	—
1002	#449	—	13	1	no	—
1003	#449	—	13	1	no	—
1004	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1005	#448	—	13	1	no	—
1006	#448	—	13	1	no	—
1007	#448	—	13	1	no	—
1008	#448	—	13	1	no	—
1009	#448	—	13	1	no	—
1010	#448	—	13	1	no	—
1011	#448	—	13	1	no	—
1012	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1013	#440	—	13	1	no	—
1014	#440	—	13	1	no	—
1015	#440	—	13	1	no	—
1016	#440	—	13	1	no	—
1017	#440	—	13	1	no	—
1018	#440	—	13	1	no	—
1019	#440	—	13	1	no	—
1020	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
1021	#435	—	13	1	no	—
1022	#435	—	13	1	no	—
1023	#435	—	13	1	no	—
1024	#435	—	13	1	no	—
1025	#435	—	13	1	no	—
1026	#435	—	13	1	no	—
1027	#435	—	13	1	no	—
1028	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1029	C₂×#107	—	13	1	no	—
1030	C₂×#106	—	13	1	no	—
1031	C₂×#106	—	13	1	no	—
1032	C₂×C₄⋊C₈	—	13	1	no	—
1033	#419	—	13	1	no	—
1034	#419	—	13	1	no	—
1035	#419	—	13	1	no	—
1036	#419	—	13	1	no	—
1037	#419	—	13	1	no	—
1038	#419	—	13	1	no	—
1039	#419	—	13	1	no	—
1040	#419	C₂×D₁₃	1	1	yes	characteristic, complemented
1041	#416	—	13	1	no	—
1042	#416	—	13	1	no	—
1043	#416	—	13	1	no	—
1044	#416	—	13	1	no	—
1045	#416	—	13	1	no	—
1046	#416	—	13	1	no	—
1047	#416	—	13	1	no	—
1048	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1049	C₂×#103	—	13	1	no	—
1050	C₂×#103	—	13	1	no	—
1051	C₂×#103	—	13	1	no	—
1052	C₂×#103	—	13	1	no	—
1053	C₂×#103	—	13	1	no	—
1054	C₂×#103	—	13	1	no	—
1055	C₂×#102	—	13	1	no	—
1056	C₂×#102	—	13	1	no	—
1057	C₂×#102	—	13	1	no	—
1058	C₂×#102	—	13	1	no	—
1059	C₂×C₂²⋊C₈	—	13	1	no	—
1060	C₂×C₂²⋊C₈	—	13	1	no	—
1061	C₂×#97	—	13	1	no	—
1062	C₂²×C₁₃	—	2	1	no	—
1063	C₂²×C₁₃	—	2	1	no	—
1064	C₂²×C₁₃	—	2	1	no	—
1065	C₂²×C₁₃	—	2	1	no	—
1066	C₂²×C₁₃	—	2	1	no	—
1067	C₂²×C₁₃	—	2	1	no	—
1068	C₂²×C₁₃	—	4	1	no	—
1069	C₂²×C₁₃	—	4	1	no	—
1070	C₂²×C₁₃	—	4	1	no	—
1071	C₂²×C₁₃	—	4	1	no	—
1072	C₂²×C₁₃	—	4	1	no	—
1073	C₂²×C₁₃	—	4	1	no	—
1074	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1075	C₂×D₁₃	—	2	1	no	—
1076	C₂×D₁₃	—	2	1	no	—
1077	C₂×D₁₃	—	2	1	no	—
1078	C₂×D₁₃	—	2	1	no	—
1079	C₂×D₁₃	—	2	1	no	—
1080	C₂×D₁₃	—	2	1	no	—
1081	C₂×D₁₃	—	4	4	no	—
1082	C₂×D₁₃	—	4	4	no	—
1083	C₂×D₁₃	—	4	1	no	—
1084	C₂×D₁₃	—	4	1	no	—
1085	C₂×D₁₃	—	4	1	no	—
1086	C₂×D₁₃	—	4	1	no	—
1087	C₂×D₁₃	—	4	1	no	—
1088	C₂×D₁₃	—	4	1	no	—
1089	C₂×D₁₃	—	8	4	no	—
1090	C₂×D₁₃	—	8	4	no	—
1091	C₂×D₁₃	#546	1	2	yes	—
1092	C₂×D₁₃	#575	1	2	yes	—
1093	C₂×D₁₃	#577	1	2	yes	—
1094	C₄×C₁₃	—	2	2	no	—
1095	C₄×C₁₃	—	2	1	no	—
1096	C₄×C₁₃	—	2	1	no	—
1097	C₄×C₁₃	—	2	1	no	—
1098	C₄×C₁₃	—	2	1	no	—
1099	C₄×C₁₃	—	4	1	no	—
1100	C₄×C₁₃	—	4	1	no	—
1101	C₄×C₁₃	—	4	1	no	—
1102	C₄×C₁₃	—	4	1	no	—
1103	C₄×C₁₃	—	4	1	no	—
1104	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1105	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1106	Dic₁₃	—	2	2	no	—
1107	Dic₁₃	—	2	1	no	—
1108	Dic₁₃	—	2	1	no	—
1109	Dic₁₃	—	2	1	no	—
1110	Dic₁₃	—	2	1	no	—
1111	Dic₁₃	—	4	1	no	—
1112	Dic₁₃	—	4	1	no	—
1113	Dic₁₃	—	4	1	no	—
1114	Dic₁₃	—	4	1	no	—
1115	Dic₁₃	—	4	1	no	—
1116	Dic₁₃	#546	1	2	yes	—
1117	C₂×#41	—	13	1	no	—
1118	C₂×#41	—	13	1	no	—
1119	C₂×#41	—	13	1	no	—
1120	C₂×#41	—	26	1	no	—
1121	C₂×#41	—	26	1	no	—
1122	C₂×#41	—	26	4	no	—
1123	C₂×#41	—	52	2	no	—
1124	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1125	C₂²×Q₈	—	13	1	no	—
1126	C₂²×Q₈	—	13	1	no	—
1127	C₂²×Q₈	—	13	1	no	—
1128	C₂²×Q₈	—	13	1	no	—
1129	C₂²×Q₈	—	13	1	no	—
1130	C₂²×Q₈	—	26	1	no	—
1131	C₂²×Q₈	—	26	1	no	—
1132	C₂²×Q₈	—	26	1	no	—
1133	C₂²×Q₈	—	26	1	no	—
1134	C₂²×Q₈	—	26	4	no	—
1135	C₂²×Q₈	—	52	2	no	—
1136	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1137	C₂²×D₄	—	13	1	no	—
1138	C₂²×D₄	—	13	1	no	—
1139	C₂²×D₄	—	13	1	no	—
1140	C₂²×D₄	—	26	1	no	—
1141	C₂²×D₄	—	26	1	no	—
1142	C₂²×D₄	—	26	1	no	—
1143	C₂²×D₄	—	26	1	no	—
1144	C₂³×C₄	—	13	1	no	—
1145	C₂³×C₄	—	13	1	no	—
1146	C₂³×C₄	—	26	1	no	—
1147	C₂³×C₄	—	26	1	no	—
1148	C₂³×C₄	—	26	1	no	—
1149	C₂×SD₁₆	—	13	1	no	—
1150	C₂×SD₁₆	—	13	1	no	—
1151	C₂×SD₁₆	—	13	1	no	—
1152	C₂×SD₁₆	—	13	1	no	—
1153	C₂×SD₁₆	—	13	1	no	—
1154	C₂×SD₁₆	—	13	1	no	—
1155	C₂×SD₁₆	—	26	4	no	—
1156	C₂×SD₁₆	—	52	2	no	—
1157	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1158	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1159	C₂×D₈	—	13	1	no	—
1160	C₂×D₈	—	13	1	no	—
1161	C₂×D₈	—	13	1	no	—
1162	C₂×D₈	—	52	2	no	—
1163	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1164	C₂×M₁₆	—	13	1	no	—
1165	C₂×M₁₆	—	13	1	no	—
1166	C₂×M₁₆	—	13	1	no	—
1167	C₂×M₁₆	—	52	2	no	—
1168	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1169	C₂²×C₈	—	13	1	no	—
1170	C₂²×C₈	—	13	1	no	—
1171	C₂²×C₈	—	13	1	no	—
1172	C₂²×C₈	—	13	1	no	—
1173	C₂²×C₈	—	13	1	no	—
1174	C₂²×C₈	—	13	1	no	—
1175	C₂²×C₈	—	13	1	no	—
1176	C₂²×C₈	—	52	2	no	—
1177	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1178	C₄⋊Q₈	—	13	1	no	—
1179	C₄⋊Q₈	—	13	1	no	—
1180	C₄⋊Q₈	—	13	1	no	—
1181	C₄⋊Q₈	—	26	1	no	—
1182	C₄⋊Q₈	—	26	1	no	—
1183	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1184	#124	—	2	1	no	—
1185	#124	—	2	1	no	—
1186	#124	—	2	1	no	—
1187	#124	—	13	1	no	—
1188	#124	—	13	1	no	—
1189	#124	—	13	1	no	—
1190	#124	—	26	1	no	—
1191	#124	—	26	1	no	—
1192	#124	—	26	1	no	—
1193	#124	—	26	1	no	—
1194	#124	—	26	1	no	—
1195	#124	—	26	1	no	—
1196	#124	—	26	1	no	—
1197	#124	—	26	1	no	—
1198	#124	—	26	1	no	—
1199	#124	—	26	1	no	—
1200	#124	—	26	1	no	—
1201	#124	—	26	1	no	—
1202	#124	—	26	1	no	—
1203	#124	—	26	1	no	—
1204	#124	—	26	1	no	—
1205	#124	—	26	1	no	—
1206	#124	—	26	1	no	—
1207	#124	—	26	1	no	—
1208	#124	—	26	1	no	—
1209	#124	—	26	1	no	—
1210	#124	—	26	1	no	—
1211	#124	—	26	1	no	—
1212	#124	—	26	1	no	—
1213	#124	C₂²×D₁₃	1	1	yes	characteristic
1214	C₂²⋊Q₈	—	2	1	no	—
1215	C₂²⋊Q₈	—	13	1	no	—
1216	C₂²⋊Q₈	—	13	1	no	—
1217	C₂²⋊Q₈	—	13	1	no	—
1218	C₂²⋊Q₈	—	26	1	no	—
1219	C₂²⋊Q₈	—	26	1	no	—
1220	C₂²⋊Q₈	—	26	1	no	—
1221	C₂²⋊Q₈	—	26	1	no	—
1222	C₂²⋊Q₈	—	26	1	no	—
1223	C₂²⋊Q₈	—	26	1	no	—
1224	C₂²⋊Q₈	—	26	1	no	—
1225	C₂²⋊Q₈	—	26	1	no	—
1226	C₂²⋊Q₈	—	26	1	no	—
1227	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1228	#121	—	2	1	no	—
1229	#121	—	2	1	no	—
1230	#121	—	13	1	no	—
1231	#121	—	13	1	no	—
1232	#121	—	13	1	no	—
1233	#121	—	13	1	no	—
1234	#121	—	13	1	no	—
1235	#121	—	13	1	no	—
1236	#121	—	13	1	no	—
1237	#121	—	13	1	no	—
1238	#121	—	13	1	no	—
1239	#121	—	26	1	no	—
1240	#121	—	26	1	no	—
1241	#121	—	26	1	no	—
1242	#121	—	26	1	no	—
1243	#121	—	26	1	no	—
1244	#121	—	26	1	no	—
1245	#121	—	26	1	no	—
1246	#121	—	26	1	no	—
1247	#121	—	26	1	no	—
1248	#121	—	26	1	no	—
1249	#121	—	26	1	no	—
1250	#121	—	26	1	no	—
1251	#121	—	26	1	no	—
1252	#121	—	26	1	no	—
1253	#121	—	26	1	no	—
1254	#121	—	26	1	no	—
1255	#121	—	26	1	no	—
1256	#121	—	26	1	no	—
1257	#121	—	26	1	no	—
1258	#121	—	26	1	no	—
1259	#121	C₂²×D₁₃	1	1	yes	characteristic
1260	#121	C₂²×D₁₃	1	1	yes	characteristic
1261	#121	C₂²×D₁₃	1	1	yes	characteristic
1262	C₄×Q₈	—	13	1	no	—
1263	C₄×Q₈	—	13	1	no	—
1264	C₄×Q₈	—	13	1	no	—
1265	C₄×Q₈	—	26	1	no	—
1266	C₄×Q₈	—	26	1	no	—
1267	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1268	C₄×D₄	—	2	1	no	—
1269	C₄×D₄	—	13	1	no	—
1270	C₄×D₄	—	13	1	no	—
1271	C₄×D₄	—	13	1	no	—
1272	C₄×D₄	—	13	1	no	—
1273	C₄×D₄	—	13	1	no	—
1274	C₄×D₄	—	13	1	no	—
1275	C₄×D₄	—	13	1	no	—
1276	C₄×D₄	—	13	1	no	—
1277	C₄×D₄	—	13	1	no	—
1278	C₄×D₄	—	13	1	no	—
1279	C₄×D₄	—	26	1	no	—
1280	C₄×D₄	—	26	1	no	—
1281	C₄×D₄	—	26	1	no	—
1282	C₄×D₄	—	26	1	no	—
1283	C₄×D₄	—	26	1	no	—
1284	C₄×D₄	—	26	1	no	—
1285	C₄×D₄	—	26	1	no	—
1286	C₄×D₄	—	26	1	no	—
1287	C₄×D₄	—	26	1	no	—
1288	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1289	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1290	#117	—	2	1	no	—
1291	#117	—	13	1	no	—
1292	#117	—	13	1	no	—
1293	#117	—	13	1	no	—
1294	#117	—	13	1	no	—
1295	#117	—	13	1	no	—
1296	#117	—	13	1	no	—
1297	#117	—	26	1	no	—
1298	#117	—	26	1	no	—
1299	#117	—	26	1	no	—
1300	#117	—	26	1	no	—
1301	#117	—	26	1	no	—
1302	#117	—	26	1	no	—
1303	#117	—	26	1	no	—
1304	#117	—	26	1	no	—
1305	#117	—	26	1	no	—
1306	#117	—	26	1	no	—
1307	#117	—	26	1	no	—
1308	#117	C₂²×D₁₃	1	1	yes	characteristic
1309	#117	C₂²×D₁₃	1	1	yes	characteristic
1310	C₂×C₄⋊C₄	—	13	1	no	—
1311	C₂×C₄⋊C₄	—	13	1	no	—
1312	C₂×C₄⋊C₄	—	13	1	no	—
1313	C₂×C₄⋊C₄	—	13	1	no	—
1314	C₂×C₄⋊C₄	—	13	1	no	—
1315	C₂×C₄⋊C₄	—	26	1	no	—
1316	C₂×C₄⋊C₄	—	26	1	no	—
1317	C₂×C₄⋊C₄	—	26	1	no	—
1318	C₂×C₂²⋊C₄	—	13	1	no	—
1319	C₂×C₂²⋊C₄	—	13	1	no	—
1320	C₂×C₂²⋊C₄	—	26	1	no	—
1321	C₂×C₂²⋊C₄	—	26	1	no	—
1322	C₂×C₂²⋊C₄	—	26	1	no	—
1323	C₂×C₂²⋊C₄	—	26	1	no	—
1324	C₂×C₂²⋊C₄	—	26	1	no	—
1325	C₂×C₂²⋊C₄	—	26	1	no	—
1326	C₂×C₂²⋊C₄	—	26	1	no	—
1327	C₂×C₂²⋊C₄	—	26	1	no	—
1328	C₂×C₂²⋊C₄	—	26	1	no	—
1329	C₂×C₄²	—	13	1	no	—
1330	C₂×C₄²	—	26	1	no	—
1331	C₂×C₄²	—	26	1	no	—
1332	C₂×C₄²	—	26	1	no	—
1333	#107	—	13	1	no	—
1334	#107	—	13	1	no	—
1335	#107	—	13	1	no	—
1336	#107	C₂²×D₁₃	1	1	yes	characteristic
1337	#106	—	13	1	no	—
1338	#106	—	13	1	no	—
1339	#106	—	13	1	no	—
1340	#106	—	13	1	no	—
1341	#106	—	13	1	no	—
1342	#106	—	13	1	no	—
1343	#106	C₂²×D₁₃	1	1	yes	characteristic
1344	#106	C₂²×D₁₃	1	1	yes	characteristic
1345	C₄⋊C₈	—	13	1	no	—
1346	C₄⋊C₈	—	13	1	no	—
1347	C₄⋊C₈	—	13	1	no	—
1348	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1349	#103	—	13	1	no	—
1350	#103	—	13	1	no	—
1351	#103	—	13	1	no	—
1352	#103	—	13	1	no	—
1353	#103	—	13	1	no	—
1354	#103	—	13	1	no	—
1355	#103	—	13	1	no	—
1356	#103	—	13	1	no	—
1357	#103	—	13	1	no	—
1358	#103	—	13	1	no	—
1359	#103	—	13	1	no	—
1360	#103	—	13	1	no	—
1361	#103	—	13	1	no	—
1362	#103	—	13	1	no	—
1363	#103	—	13	1	no	—
1364	#103	—	13	1	no	—
1365	#103	—	13	1	no	—
1366	#103	—	13	1	no	—
1367	#103	C₂²×D₁₃	1	1	yes	characteristic
1368	#103	C₂²×D₁₃	1	1	yes	characteristic
1369	#103	C₂²×D₁₃	1	1	yes	characteristic
1370	#103	C₂²×D₁₃	1	1	yes	characteristic
1371	#103	C₂²×D₁₃	1	1	yes	characteristic
1372	#103	C₂²×D₁₃	1	1	yes	characteristic
1373	#102	—	13	1	no	—
1374	#102	—	13	1	no	—
1375	#102	—	13	1	no	—
1376	#102	—	13	1	no	—
1377	#102	—	13	1	no	—
1378	#102	—	13	1	no	—
1379	#102	—	13	1	no	—
1380	#102	—	13	1	no	—
1381	#102	—	13	1	no	—
1382	#102	—	13	1	no	—
1383	#102	—	13	1	no	—
1384	#102	—	13	1	no	—
1385	#102	C₂²×D₁₃	1	1	yes	characteristic
1386	#102	C₂²×D₁₃	1	1	yes	characteristic
1387	#102	C₂²×D₁₃	1	1	yes	characteristic
1388	#102	C₂²×D₁₃	1	1	yes	characteristic
1389	C₂²⋊C₈	—	13	1	no	—
1390	C₂²⋊C₈	—	13	1	no	—
1391	C₂²⋊C₈	—	13	1	no	—
1392	C₂²⋊C₈	—	13	1	no	—
1393	C₂²⋊C₈	—	13	1	no	—
1394	C₂²⋊C₈	—	13	1	no	—
1395	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1396	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1397	#97	—	13	1	no	—
1398	#97	—	13	1	no	—
1399	#97	—	13	1	no	—
1400	#97	C₂²×D₁₃	1	1	yes	characteristic
1401	C₂×C₁₃	—	4	1	no	—
1402	C₂×C₁₃	—	4	1	no	—
1403	C₂×C₁₃	—	8	1	no	—
1404	C₂×C₁₃	—	8	1	no	—
1405	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1406	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1407	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1408	D₁₃	—	4	1	no	—
1409	D₁₃	—	4	1	no	—
1410	D₁₃	—	8	1	no	—
1411	D₁₃	—	8	1	no	—
1412	D₁₃	#3321	1	4	yes	direct product factor
1413	C₂⁴	—	13	1	no	—
1414	C₂⁴	—	13	1	no	—
1415	C₂⁴	—	26	1	no	—
1416	C₂⁴	—	26	1	no	—
1417	#41	—	2	2	no	—
1418	#41	—	4	1	no	—
1419	#41	—	26	2	no	—
1420	#41	—	26	2	no	—
1421	#41	—	26	2	no	—
1422	#41	—	52	1	no	—
1423	#41	—	52	4	no	—
1424	#41	—	52	1	no	—
1425	#41	—	52	4	no	—
1426	#41	—	52	1	no	—
1427	C₂×Q₈	—	2	1	no	—
1428	C₂×Q₈	—	2	1	no	—
1429	C₂×Q₈	—	2	2	no	—
1430	C₂×Q₈	—	4	1	no	—
1431	C₂×Q₈	—	13	4	no	—
1432	C₂×Q₈	—	13	1	no	—
1433	C₂×Q₈	—	13	1	no	—
1434	C₂×Q₈	—	26	1	no	—
1435	C₂×Q₈	—	26	1	no	—
1436	C₂×Q₈	—	26	1	no	—
1437	C₂×Q₈	—	26	1	no	—
1438	C₂×Q₈	—	26	1	no	—
1439	C₂×Q₈	—	26	1	no	—
1440	C₂×Q₈	—	26	2	no	—
1441	C₂×Q₈	—	26	2	no	—
1442	C₂×Q₈	—	26	2	no	—
1443	C₂×Q₈	—	26	2	no	—
1444	C₂×Q₈	—	26	1	no	—
1445	C₂×Q₈	—	26	1	no	—
1446	C₂×Q₈	—	26	2	no	—
1447	C₂×Q₈	—	26	2	no	—
1448	C₂×Q₈	—	52	1	no	—
1449	C₂×Q₈	—	52	4	no	—
1450	C₂×Q₈	—	52	4	no	—
1451	C₂×Q₈	—	52	1	no	—
1452	C₂×Q₈	—	52	1	no	—
1453	C₂×Q₈	—	52	4	no	—
1454	C₂×Q₈	—	104	2	no	—
1455	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1456	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1457	C₂×D₄	—	2	1	no	—
1458	C₂×D₄	—	2	1	no	—
1459	C₂×D₄	—	2	1	no	—
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	13	1	no	—
1462	C₂×D₄	—	13	1	no	—
1463	C₂×D₄	—	13	1	no	—
1464	C₂×D₄	—	13	1	no	—
1465	C₂×D₄	—	13	1	no	—
1466	C₂×D₄	—	26	1	no	—
1467	C₂×D₄	—	26	1	no	—
1468	C₂×D₄	—	26	1	no	—
1469	C₂×D₄	—	26	1	no	—
1470	C₂×D₄	—	26	2	no	—
1471	C₂×D₄	—	26	2	no	—
1472	C₂×D₄	—	26	2	no	—
1473	C₂×D₄	—	26	2	no	—
1474	C₂×D₄	—	26	1	no	—
1475	C₂×D₄	—	26	1	no	—
1476	C₂×D₄	—	26	1	no	—
1477	C₂×D₄	—	26	1	no	—
1478	C₂×D₄	—	26	1	no	—
1479	C₂×D₄	—	26	1	no	—
1480	C₂×D₄	—	26	1	no	—
1481	C₂×D₄	—	26	1	no	—
1482	C₂×D₄	—	26	1	no	—
1483	C₂×D₄	—	26	1	no	—
1484	C₂×D₄	—	52	2	no	—
1485	C₂×D₄	—	52	4	no	—
1486	C₂×D₄	—	52	4	no	—
1487	C₂×D₄	—	104	2	no	—
1488	C₂×D₄	—	104	2	no	—
1489	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1490	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1491	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1492	C₂²×C₄	—	2	1	no	—
1493	C₂²×C₄	—	2	1	no	—
1494	C₂²×C₄	—	2	1	no	—
1495	C₂²×C₄	—	13	1	no	—
1496	C₂²×C₄	—	13	1	no	—
1497	C₂²×C₄	—	13	1	no	—
1498	C₂²×C₄	—	13	1	no	—
1499	C₂²×C₄	—	13	1	no	—
1500	C₂²×C₄	—	13	1	no	—
1501	C₂²×C₄	—	13	1	no	—
1502	C₂²×C₄	—	13	1	no	—
1503	C₂²×C₄	—	13	1	no	—
1504	C₂²×C₄	—	13	1	no	—
1505	C₂²×C₄	—	13	1	no	—
1506	C₂²×C₄	—	26	2	no	—
1507	C₂²×C₄	—	26	2	no	—
1508	C₂²×C₄	—	26	2	no	—
1509	C₂²×C₄	—	26	2	no	—
1510	C₂²×C₄	—	26	1	no	—
1511	C₂²×C₄	—	26	1	no	—
1512	C₂²×C₄	—	26	1	no	—
1513	C₂²×C₄	—	26	1	no	—
1514	C₂²×C₄	—	26	1	no	—
1515	C₂²×C₄	—	26	1	no	—
1516	C₂²×C₄	—	26	1	no	—
1517	C₂²×C₄	—	26	1	no	—
1518	C₂²×C₄	—	26	1	no	—
1519	C₂²×C₄	—	26	1	no	—
1520	C₂²×C₄	—	26	1	no	—
1521	C₂²×C₄	—	26	1	no	—
1522	C₂²×C₄	—	26	1	no	—
1523	C₂²×C₄	—	26	1	no	—
1524	C₂²×C₄	—	26	1	no	—
1525	C₂²×C₄	—	52	4	no	—
1526	C₂²×C₄	—	52	4	no	—
1527	C₂²×C₄	—	52	4	no	—
1528	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1529	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1530	SD₁₆	—	2	2	no	—
1531	SD₁₆	—	4	1	no	—
1532	SD₁₆	—	26	2	no	—
1533	SD₁₆	—	26	2	no	—
1534	SD₁₆	—	26	2	no	—
1535	SD₁₆	—	52	1	no	—
1536	SD₁₆	—	52	1	no	—
1537	SD₁₆	—	52	1	no	—
1538	D₈	—	4	1	no	—
1539	D₈	—	52	1	no	—
1540	D₈	—	52	1	no	—
1541	D₈	—	52	1	no	—
1542	M₁₆	—	4	1	no	—
1543	M₁₆	—	52	1	no	—
1544	M₁₆	—	52	1	no	—
1545	M₁₆	—	52	1	no	—
1546	C₂×C₈	—	4	1	no	—
1547	C₂×C₈	—	13	1	no	—
1548	C₂×C₈	—	13	1	no	—
1549	C₂×C₈	—	13	1	no	—
1550	C₂×C₈	—	13	1	no	—
1551	C₂×C₈	—	26	2	no	—
1552	C₂×C₈	—	26	2	no	—
1553	C₂×C₈	—	26	2	no	—
1554	C₂×C₈	—	26	2	no	—
1555	C₂×C₈	—	52	1	no	—
1556	C₂×C₈	—	52	1	no	—
1557	C₂×C₈	—	52	1	no	—
1558	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1559	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1560	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1561	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	2	1	no	—
1565	C₄⋊C₄	—	13	1	no	—
1566	C₄⋊C₄	—	13	1	no	—
1567	C₄⋊C₄	—	13	1	no	—
1568	C₄⋊C₄	—	13	1	no	—
1569	C₄⋊C₄	—	13	1	no	—
1570	C₄⋊C₄	—	13	1	no	—
1571	C₄⋊C₄	—	13	1	no	—
1572	C₄⋊C₄	—	26	1	no	—
1573	C₄⋊C₄	—	26	1	no	—
1574	C₄⋊C₄	—	26	1	no	—
1575	C₄⋊C₄	—	26	1	no	—
1576	C₄⋊C₄	—	26	1	no	—
1577	C₄⋊C₄	—	26	1	no	—
1578	C₄⋊C₄	—	26	1	no	—
1579	C₄⋊C₄	—	26	1	no	—
1580	C₄⋊C₄	—	26	1	no	—
1581	C₄⋊C₄	—	26	1	no	—
1582	C₄⋊C₄	—	26	1	no	—
1583	C₄⋊C₄	—	26	1	no	—
1584	C₄⋊C₄	—	26	1	no	—
1585	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1586	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1587	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1588	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1589	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	13	1	no	—
1600	C₂²⋊C₄	—	13	1	no	—
1601	C₂²⋊C₄	—	13	1	no	—
1602	C₂²⋊C₄	—	13	1	no	—
1603	C₂²⋊C₄	—	13	1	no	—
1604	C₂²⋊C₄	—	13	1	no	—
1605	C₂²⋊C₄	—	26	1	no	—
1606	C₂²⋊C₄	—	26	1	no	—
1607	C₂²⋊C₄	—	26	1	no	—
1608	C₂²⋊C₄	—	26	1	no	—
1609	C₂²⋊C₄	—	26	1	no	—
1610	C₂²⋊C₄	—	26	1	no	—
1611	C₂²⋊C₄	—	26	1	no	—
1612	C₂²⋊C₄	—	26	1	no	—
1613	C₂²⋊C₄	—	26	1	no	—
1614	C₂²⋊C₄	—	26	1	no	—
1615	C₂²⋊C₄	—	26	1	no	—
1616	C₂²⋊C₄	—	26	1	no	—
1617	C₂²⋊C₄	—	26	1	no	—
1618	C₂²⋊C₄	—	26	1	no	—
1619	C₂²⋊C₄	—	26	1	no	—
1620	C₂²⋊C₄	—	26	1	no	—
1621	C₂²⋊C₄	—	26	1	no	—
1622	C₂²⋊C₄	—	26	1	no	—
1623	C₂²⋊C₄	—	26	1	no	—
1624	C₂²⋊C₄	—	26	1	no	—
1625	C₂²⋊C₄	—	26	1	no	—
1626	C₂²⋊C₄	—	26	1	no	—
1627	C₂²⋊C₄	—	26	1	no	—
1628	C₂²⋊C₄	—	26	1	no	—
1629	C₂²⋊C₄	—	26	1	no	—
1630	C₂²⋊C₄	—	26	1	no	—
1631	C₂²⋊C₄	—	26	1	no	—
1632	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1633	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1634	C₄²	—	2	1	no	—
1635	C₄²	—	2	1	no	—
1636	C₄²	—	2	1	no	—
1637	C₄²	—	13	1	no	—
1638	C₄²	—	13	1	no	—
1639	C₄²	—	13	1	no	—
1640	C₄²	—	26	1	no	—
1641	C₄²	—	26	1	no	—
1642	C₄²	—	26	1	no	—
1643	C₄²	—	26	1	no	—
1644	C₄²	—	26	1	no	—
1645	C₄²	—	26	1	no	—
1646	C₄²	—	26	1	no	—
1647	C₄²	—	26	1	no	—
1648	C₄²	—	26	1	no	—
1649	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1650	C₁₃	C₂×#3321	1	1	yes	characteristic, complemented, Sylow
1651	C₂³	—	2	1	no	—
1652	C₂³	—	2	1	no	—
1653	C₂³	—	13	1	no	—
1654	C₂³	—	13	1	no	—
1655	C₂³	—	13	1	no	—
1656	C₂³	—	26	2	no	—
1657	C₂³	—	26	2	no	—
1658	C₂³	—	26	2	no	—
1659	C₂³	—	26	2	no	—
1660	C₂³	—	26	2	no	—
1661	C₂³	—	26	2	no	—
1662	C₂³	—	26	1	no	—
1663	C₂³	—	26	1	no	—
1664	C₂³	—	52	2	no	—
1665	C₂³	—	52	2	no	—
1666	C₂³	—	52	2	no	—
1667	C₂³	—	52	2	no	—
1668	C₂³	—	52	2	no	—
1669	C₂³	—	52	2	no	—
1670	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1671	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1672	Q₈	—	2	1	no	—
1673	Q₈	—	2	1	no	—
1674	Q₈	—	2	1	no	—
1675	Q₈	—	4	2	no	—
1676	Q₈	—	8	1	no	—
1677	Q₈	—	13	2	no	—
1678	Q₈	—	26	4	no	—
1679	Q₈	—	26	1	no	—
1680	Q₈	—	26	1	no	—
1681	Q₈	—	26	1	no	—
1682	Q₈	—	52	2	no	—
1683	Q₈	—	52	2	no	—
1684	Q₈	—	52	2	no	—
1685	Q₈	—	52	2	no	—
1686	Q₈	—	104	1	no	—
1687	Q₈	—	104	1	no	—
1688	Q₈	—	104	1	no	—
1689	Q₈	#41×D₁₃	1	2	yes	—
1690	D₄	—	2	1	no	—
1691	D₄	—	2	1	no	—
1692	D₄	—	2	1	no	—
1693	D₄	—	2	1	no	—
1694	D₄	—	4	1	no	—
1695	D₄	—	4	2	no	—
1696	D₄	—	4	2	no	—
1697	D₄	—	8	1	no	—
1698	D₄	—	8	1	no	—
1699	D₄	—	26	1	no	—
1700	D₄	—	26	1	no	—
1701	D₄	—	26	1	no	—
1702	D₄	—	26	1	no	—
1703	D₄	—	52	1	no	—
1704	D₄	—	52	2	no	—
1705	D₄	—	52	2	no	—
1706	D₄	—	52	2	no	—
1707	D₄	—	52	2	no	—
1708	D₄	—	52	1	no	—
1709	D₄	—	52	1	no	—
1710	D₄	—	52	2	no	—
1711	D₄	—	52	2	no	—
1712	D₄	—	52	2	no	—
1713	D₄	—	52	2	no	—
1714	D₄	—	104	1	no	—
1715	D₄	—	104	1	no	—
1716	D₄	—	104	1	no	—
1717	D₄	—	104	1	no	—
1718	D₄	—	104	1	no	—
1719	D₄	—	104	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	4	2	no	—
1731	C₂×C₄	—	4	2	no	—
1732	C₂×C₄	—	4	2	no	—
1733	C₂×C₄	—	13	1	no	—
1734	C₂×C₄	—	13	2	no	—
1735	C₂×C₄	—	13	2	no	—
1736	C₂×C₄	—	13	1	no	—
1737	C₂×C₄	—	13	1	no	—
1738	C₂×C₄	—	13	1	no	—
1739	C₂×C₄	—	13	1	no	—
1740	C₂×C₄	—	26	2	no	—
1741	C₂×C₄	—	26	2	no	—
1742	C₂×C₄	—	26	2	no	—
1743	C₂×C₄	—	26	2	no	—
1744	C₂×C₄	—	26	2	no	—
1745	C₂×C₄	—	26	2	no	—
1746	C₂×C₄	—	26	4	no	—
1747	C₂×C₄	—	26	2	no	—
1748	C₂×C₄	—	26	2	no	—
1749	C₂×C₄	—	26	1	no	—
1750	C₂×C₄	—	26	1	no	—
1751	C₂×C₄	—	26	1	no	—
1752	C₂×C₄	—	26	1	no	—
1753	C₂×C₄	—	26	1	no	—
1754	C₂×C₄	—	26	1	no	—
1755	C₂×C₄	—	26	1	no	—
1756	C₂×C₄	—	26	1	no	—
1757	C₂×C₄	—	26	1	no	—
1758	C₂×C₄	—	26	1	no	—
1759	C₂×C₄	—	52	2	no	—
1760	C₂×C₄	—	52	2	no	—
1761	C₂×C₄	—	52	2	no	—
1762	C₂×C₄	—	52	2	no	—
1763	C₂×C₄	—	52	2	no	—
1764	C₂×C₄	—	52	2	no	—
1765	C₂×C₄	—	52	2	no	—
1766	C₂×C₄	—	52	2	no	—
1767	C₂×C₄	—	52	2	no	—
1768	C₂×C₄	—	52	2	no	—
1769	C₂×C₄	—	52	2	no	—
1770	C₂×C₄	—	52	2	no	—
1771	C₂×C₄	—	52	2	no	—
1772	C₂×C₄	—	52	2	no	—
1773	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1774	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1775	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1776	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1777	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1778	C₈	—	2	1	no	—
1779	C₈	—	2	1	no	—
1780	C₈	—	2	1	no	—
1781	C₈	—	2	1	no	—
1782	C₈	—	26	1	no	—
1783	C₈	—	26	1	no	—
1784	C₈	—	26	1	no	—
1785	C₈	—	26	1	no	—
1786	C₂²	—	2	1	no	—
1787	C₂²	—	2	1	no	—
1788	C₂²	—	2	1	no	—
1789	C₂²	—	2	1	no	—
1790	C₂²	—	2	1	no	—
1791	C₂²	—	2	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	13	2	no	—
1799	C₂²	—	13	2	no	—
1800	C₂²	—	13	2	no	—
1801	C₂²	—	26	1	no	—
1802	C₂²	—	26	1	no	—
1803	C₂²	—	26	1	no	—
1804	C₂²	—	26	1	no	—
1805	C₂²	—	26	1	no	—
1806	C₂²	—	26	1	no	—
1807	C₂²	—	52	4	no	—
1808	C₂²	—	52	4	no	—
1809	C₂²	—	52	1	no	—
1810	C₂²	—	52	1	no	—
1811	C₂²	—	52	1	no	—
1812	C₂²	—	52	1	no	—
1813	C₂²	—	52	1	no	—
1814	C₂²	—	52	1	no	—
1815	C₂²	—	104	4	no	—
1816	C₂²	—	104	4	no	—
1817	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1818	C₄	—	2	1	no	—
1819	C₄	—	2	1	no	—
1820	C₄	—	2	2	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	1	no	—
1823	C₄	—	4	1	no	—
1824	C₄	—	4	1	no	—
1825	C₄	—	4	1	no	—
1826	C₄	—	4	1	no	—
1827	C₄	—	4	1	no	—
1828	C₄	—	13	2	no	—
1829	C₄	—	26	1	no	—
1830	C₄	—	26	1	no	—
1831	C₄	—	26	2	no	—
1832	C₄	—	26	1	no	—
1833	C₄	—	26	1	no	—
1834	C₄	—	52	1	no	—
1835	C₄	—	52	1	no	—
1836	C₄	—	52	1	no	—
1837	C₄	—	52	1	no	—
1838	C₄	—	52	1	no	—
1839	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1840	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1841	C₂	—	4	1	no	—
1842	C₂	—	4	1	no	—
1843	C₂	—	8	1	no	—
1844	C₂	—	8	1	no	—
1845	C₂	—	13	4	no	—
1846	C₂	—	52	1	no	—
1847	C₂	—	52	1	no	—
1848	C₂	—	104	1	no	—
1849	C₂	—	104	1	no	—
1850	C₂	D₁₃×#546	1	1	yes	characteristic
1851	C₂	D₁₃×#575	1	1	yes	characteristic
1852	C₂	D₁₃×#577	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×#3321	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3321	D₁₃
hypocenter	C₁₃	C₂×#3321
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3321

Complements

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

N	H ≅ G/N	type
1. D₁₃×#555	C₂	semidirect
2. D₁₃×#548	C₂	semidirect
3. #13127029	C₂	semidirect
4. #13127028	C₂	semidirect
5. #13127027	C₂	semidirect
6. #13127026	C₂	semidirect
7. #13127025	C₂	semidirect
8. #13127024	C₂	semidirect
9. #13127023	C₂	semidirect
10. #13127022	C₂	semidirect
11. #13127021	C₂	semidirect
12. #13127020	C₂	semidirect
13. #13127019	C₂	semidirect
14. #13127018	C₂	semidirect
15. #13127017	C₂	semidirect
16. #13127016	C₂	semidirect
17. #13127015	C₂	semidirect
18. D₁₃×#489	C₂	semidirect
19. D₁₃×#485	C₂	semidirect
20. D₁₃×#482	C₂	semidirect
21. D₁₃×#475	C₂	semidirect
22. D₁₃×#469	C₂	semidirect
23. D₁₃×#465	C₂	semidirect
24. D₁₃×#463	C₂	semidirect
25. D₁₃×#449	C₂	semidirect
26. D₁₃×#448	C₂	semidirect
27. D₁₃×#440	C₂	semidirect
28. D₁₃×#435	C₂	semidirect
29. D₁₃×#419	C₂	semidirect
30. D₁₃×#416	C₂	semidirect
31. C₁₃×#3321	C₂	semidirect
34. C₁₃×#555	C₂²	semidirect
35. C₁₃×#548	C₂²	semidirect
36. #11719536	C₂²	semidirect
37. #11719522	C₂²	semidirect
43. #11719439	C₂²	semidirect
46. #11719382	C₂²	semidirect
54. #11719338	C₂²	semidirect
58. #11719321	C₂²	semidirect
59. #11719321	C₂²	semidirect
66. #11719303	C₂²	semidirect
67. #11719281	C₂²	semidirect
69. #11719268	C₂²	semidirect
70. #11719268	C₂²	semidirect
72. #11719257	C₂²	semidirect
77. #11719237	C₂²	semidirect
78. #11719237	C₂²	semidirect
82. C₁₃×#489	C₂²	semidirect
83. C₁₃×#485	C₂²	semidirect
84. C₁₃×#482	C₂²	semidirect
85. C₁₃×#475	C₂²	semidirect
86. C₁₃×#469	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#449	C₂²	semidirect
90. C₁₃×#448	C₂²	semidirect
91. C₁₃×#440	C₂²	semidirect
92. C₁₃×#435	C₂²	semidirect
93. C₁₃×#419	C₂²	semidirect
94. C₁₃×#416	C₂²	semidirect
95. #11718899	C₂²	semidirect
96. #11718894	C₂²	semidirect
97. #11718888	C₂²	semidirect
98. #11718886	C₂²	semidirect
99. #11718833	C₂²	semidirect
100. #11718832	C₂²	semidirect
101. #11718831	C₂²	semidirect
102. #11718831	C₂²	semidirect
103. #11718826	C₂²	semidirect
104. #11718825	C₂²	semidirect
105. #11718820	C₂²	semidirect
106. #11718819	C₂²	semidirect
107. #11718814	C₂²	semidirect
108. #11718796	C₂²	semidirect
109. #11718788	C₂²	semidirect
110. #11718781	C₂²	semidirect
111. #11718775	C₂²	semidirect
112. #11718774	C₂²	semidirect
113. #11718772	C₂²	semidirect
114. #11718755	C₂²	semidirect
115. #11718750	C₂²	semidirect
116. #11718718	C₂²	semidirect
117. #11718716	C₂²	semidirect
118. #11718709	C₂²	semidirect
119. #11718706	C₂²	semidirect
120. #11718702	C₂²	semidirect
121. #11718701	C₂²	semidirect
122. #11718700	C₂²	semidirect
123. #11718700	C₂²	semidirect
124. #11718698	C₂²	semidirect
125. #11718696	C₂²	semidirect
126. #11718687	C₂²	semidirect
127. #11718681	C₂²	semidirect
128. #11718679	C₂²	semidirect
129. #11718677	C₂²	semidirect
130. #11718672	C₂²	semidirect
131. #11718665	C₂²	semidirect
132. #11718664	C₂²	semidirect
133. #11718663	C₂²	semidirect
134. #11718657	C₂²	semidirect
135. #11718550	C₂²	semidirect
136. #11718549	C₂²	semidirect
137. #11718546	C₂²	semidirect
139. #11718528	C₂²	semidirect
140. #11718527	C₂²	semidirect
141. #11718526	C₂²	semidirect
142. #11718525	C₂²	semidirect
145. #11718515	C₂²	semidirect
146. #11718515	C₂²	semidirect
147. #11718512	C₂²	semidirect
148. #11718505	C₂²	semidirect
149. #11718497	C₂²	semidirect
151. #11718480	C₂²	semidirect
152. #11718478	C₂²	semidirect
153. #11718476	C₂²	semidirect
154. #11718475	C₂²	semidirect
155. #11718472	C₂²	semidirect
156. #11718468	C₂²	semidirect
157. #11718467	C₂²	semidirect
158. #11718467	C₂²	semidirect
159. #11718465	C₂²	semidirect
160. #11718465	C₂²	semidirect
161. #11718463	C₂²	semidirect
162. #11718463	C₂²	semidirect
163. #11718463	C₂²	semidirect
164. #11718463	C₂²	semidirect
171. #11718456	C₂²	semidirect
172. #11718456	C₂²	semidirect
173. #11718452	C₂²	semidirect
174. #11718452	C₂²	semidirect
175. #11718448	C₂²	semidirect
176. #11718445	C₂²	semidirect
177. #11718443	C₂²	semidirect
178. #11718443	C₂²	semidirect
179. #11718442	C₂²	semidirect
180. #11718440	C₂²	semidirect
181. #11718439	C₂²	semidirect
182. #11718433	C₂²	semidirect
183. #11718433	C₂²	semidirect
188. #11718426	C₂²	semidirect
189. #11718426	C₂²	semidirect
190. #11718418	C₂²	semidirect
191. #11718399	C₂²	semidirect
192. #11718398	C₂²	semidirect
193. #11718395	C₂²	semidirect
194. #11718391	C₂²	semidirect
195. #11718389	C₂²	semidirect
198. #11718384	C₂²	semidirect
199. #11718375	C₂²	semidirect
200. #11718371	C₂²	semidirect
201. #11718367	C₂²	semidirect
742. #3321	D₁₃	direct (N × H)
909. #555	C₂×D₁₃	semidirect
921. #548	C₂×D₁₃	semidirect
948. #489	C₂×D₁₃	semidirect
956. #485	C₂×D₁₃	semidirect
964. #482	C₂×D₁₃	semidirect
972. #475	C₂×D₁₃	semidirect
980. #469	C₂×D₁₃	semidirect
988. #465	C₂×D₁₃	semidirect
996. #463	C₂×D₁₃	semidirect
1004. #449	C₂×D₁₃	semidirect
1012. #448	C₂×D₁₃	semidirect
1020. #440	C₂×D₁₃	semidirect
1028. #435	C₂×D₁₃	semidirect
1040. #419	C₂×D₁₃	semidirect
1048. #416	C₂×D₁₃	semidirect
1412. D₁₃	#3321	direct (N × H)
1650. C₁₃	C₂×#3321	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#555	2
D₁₃×#548	2
#13127029	2
#13127028	2
#13127027	2
#13127026	2
#13127025	2
#13127024	2
#13127023	2
#13127022	2
#13127021	2
#13127020	2
#13127019	2
#13127018	2
#13127017	2
#13127016	2
#13127015	2
D₁₃×#489	2
D₁₃×#485	2
D₁₃×#482	2
D₁₃×#475	2
D₁₃×#469	2
D₁₃×#465	2
D₁₃×#463	2
D₁₃×#449	2
D₁₃×#448	2
D₁₃×#440	2
D₁₃×#435	2
D₁₃×#419	2
D₁₃×#416	2
C₁₃×#3321	2
C₂×#3321	13

Subgroups — D13×#3321 #16739661

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3321 #16739661