Subgroups — D₁₃×#3257 #16735821

Order 3328.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#542	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#540	C₂	1	1	yes	maximal, characteristic, complemented
3	#13126254	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126253	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126252	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126251	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126250	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126249	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126248	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126247	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126246	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126245	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126244	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126243	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126242	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126241	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126240	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#479	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#478	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#476	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#474	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#469	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#468	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#466	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#465	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#460	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#459	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#424	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3257	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
34	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
35	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
36	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
37	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
38	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
39	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
40	#11719438	C₂²	1	1	yes	characteristic, complemented
41	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
42	#11719424	C₂²	1	1	yes	characteristic, complemented
43	D₁₃×#127	C₂²	1	1	yes	characteristic
44	#11719415	—	2	1	no	—
45	D₁₃×#126	—	2	1	no	—
46	#11719403	C₂²	1	1	yes	characteristic, complemented
47	D₁₃×#125	C₂²	1	1	yes	characteristic
48	#11719387	C₂²	1	1	yes	characteristic, complemented
49	D₁₃×#124	—	2	1	no	—
50	D₁₃×#124	C₂²	1	1	yes	characteristic
51	#11719374	—	2	1	no	—
52	#11719368	—	2	1	no	—
53	#11719368	—	2	1	no	—
54	#11719367	—	2	1	no	—
55	D₁₃×#123	—	2	1	no	—
56	D₁₃×#123	—	2	1	no	—
57	D₁₃×#123	—	2	1	no	—
58	#11719348	C₂²	1	1	yes	characteristic, complemented
59	#11719345	—	2	1	no	—
60	D₁₃×C₂²⋊Q₈	—	2	1	no	—
61	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
62	#11719324	C₂²	1	1	yes	characteristic, complemented
63	#11719324	C₂²	1	1	yes	characteristic, complemented
64	#11719320	—	2	1	no	—
65	#11719320	—	2	1	no	—
66	D₁₃×#121	—	2	1	no	—
67	D₁₃×#121	—	2	1	no	—
68	D₁₃×#121	C₂²	1	1	yes	characteristic
69	D₁₃×#121	C₂²	1	1	yes	characteristic
70	D₁₃×#121	C₂²	1	1	yes	characteristic
71	#11719308	C₂²	1	1	yes	characteristic, complemented
72	#11719287	C₂²	1	1	yes	characteristic, complemented
73	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
74	#11719267	C₂²	1	1	yes	characteristic, complemented
75	#11719267	C₂²	1	1	yes	characteristic, complemented
76	#11719266	C₂²	1	1	yes	characteristic, complemented
77	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
78	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
79	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
80	#11719240	C₂²	1	1	yes	characteristic, complemented
81	#11719239	C₂²	1	1	yes	characteristic, complemented
82	D₁₃×#117	C₂²	1	1	yes	characteristic
83	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#424	C₂²	1	1	yes	characteristic, complemented
96	#11718835	C₂²	1	1	yes	characteristic, complemented
97	#11718832	C₂²	1	1	yes	characteristic, complemented
98	#11718826	C₂²	1	1	yes	characteristic, complemented
99	#11718826	C₂²	1	1	yes	characteristic, complemented
100	#11718824	C₂²	1	1	yes	characteristic, complemented
101	#11718824	C₂²	1	1	yes	characteristic, complemented
102	#11718820	C₂²	1	1	yes	characteristic, complemented
103	#11718818	C₂²	1	1	yes	characteristic, complemented
104	#11718814	C₂²	1	1	yes	characteristic, complemented
105	#11718814	C₂²	1	1	yes	characteristic, complemented
106	#11718811	C₂²	1	1	yes	characteristic, complemented
107	#11718811	C₂²	1	1	yes	characteristic, complemented
108	#11718796	C₂²	1	1	yes	characteristic, complemented
109	#11718795	C₂²	1	1	yes	characteristic, complemented
110	#11718780	C₂²	1	1	yes	characteristic, complemented
111	#11718776	C₂²	1	1	yes	characteristic, complemented
112	#11718775	C₂²	1	1	yes	characteristic, complemented
113	#11718763	C₂²	1	1	yes	characteristic, complemented
114	#11718748	C₂²	1	1	yes	characteristic, complemented
115	#11718745	C₂²	1	1	yes	characteristic, complemented
116	#11718736	C₂²	1	1	yes	characteristic, complemented
117	#11718733	C₂²	1	1	yes	characteristic, complemented
118	#11718727	C₂²	1	1	yes	characteristic, complemented
119	#11718724	C₂²	1	1	yes	characteristic, complemented
120	#11718718	C₂²	1	1	yes	characteristic, complemented
121	#11718718	C₂²	1	1	yes	characteristic, complemented
122	#11718710	C₂²	1	1	yes	characteristic, complemented
123	#11718709	C₂²	1	1	yes	characteristic, complemented
124	#11718703	C₂²	1	1	yes	characteristic, complemented
125	#11718702	C₂²	1	1	yes	characteristic, complemented
126	#11718700	C₂²	1	1	yes	characteristic, complemented
127	#11718700	C₂²	1	1	yes	characteristic, complemented
128	#11718699	C₂²	1	1	yes	characteristic, complemented
129	#11718699	C₂²	1	1	yes	characteristic, complemented
130	#11718688	C₂²	1	1	yes	characteristic, complemented
131	#11718683	C₂²	1	1	yes	characteristic, complemented
132	#11718677	C₂²	1	1	yes	characteristic, complemented
133	#11718677	C₂²	1	1	yes	characteristic, complemented
134	#11718676	C₂²	1	1	yes	characteristic, complemented
135	#11718670	C₂²	1	1	yes	characteristic, complemented
136	#11718669	C₂²	1	1	yes	characteristic, complemented
137	#11718668	C₂²	1	1	yes	characteristic, complemented
138	#11718660	C₂²	1	1	yes	characteristic, complemented
139	#11718552	C₂²	1	1	yes	characteristic, complemented
140	#11718551	C₂²	1	1	yes	characteristic, complemented
141	#11718551	C₂²	1	1	yes	characteristic, complemented
142	#11718547	C₂²	1	1	yes	characteristic, complemented
143	#11718544	C₂²	1	1	yes	characteristic, complemented
144	D₁₃×#107	C₂²	1	1	yes	characteristic
145	D₁₃×#107	C₂²	1	1	yes	characteristic
146	#11718538	C₂²	1	1	yes	characteristic, complemented
147	#11718532	C₂²	1	1	yes	characteristic, complemented
148	#11718531	C₂²	1	1	yes	characteristic, complemented
149	#11718531	C₂²	1	1	yes	characteristic, complemented
150	#11718526	C₂²	1	1	yes	characteristic, complemented
151	#11718525	C₂²	1	1	yes	characteristic, complemented
152	D₁₃×#106	C₂²	1	1	yes	characteristic
153	D₁₃×#106	C₂²	1	1	yes	characteristic
154	#11718518	C₂²	1	1	yes	characteristic, complemented
155	#11718509	C₂²	1	1	yes	characteristic, complemented
156	#11718508	C₂²	1	1	yes	characteristic, complemented
157	#11718507	C₂²	1	1	yes	characteristic, complemented
158	#11718505	C₂²	1	1	yes	characteristic, complemented
159	#11718505	C₂²	1	1	yes	characteristic, complemented
160	#11718504	C₂²	1	1	yes	characteristic, complemented
161	#11718503	C₂²	1	1	yes	characteristic, complemented
162	#11718500	C₂²	1	1	yes	characteristic, complemented
163	#11718500	C₂²	1	1	yes	characteristic, complemented
164	#11718500	C₂²	1	1	yes	characteristic, complemented
165	#11718500	C₂²	1	1	yes	characteristic, complemented
166	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
167	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
168	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
169	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
170	#11718490	C₂²	1	1	yes	characteristic, complemented
171	#11718480	C₂²	1	1	yes	characteristic, complemented
172	#11718480	C₂²	1	1	yes	characteristic, complemented
173	#11718473	C₂²	1	1	yes	characteristic, complemented
174	#11718468	C₂²	1	1	yes	characteristic, complemented
175	D₁₃×#103	C₂²	1	1	yes	characteristic
176	D₁₃×#103	C₂²	1	1	yes	characteristic
177	#11718460	C₂²	1	1	yes	characteristic, complemented
178	#11718457	C₂²	1	1	yes	characteristic, complemented
179	#11718448	C₂²	1	1	yes	characteristic, complemented
180	#11718448	C₂²	1	1	yes	characteristic, complemented
181	#11718447	C₂²	1	1	yes	characteristic, complemented
182	#11718447	C₂²	1	1	yes	characteristic, complemented
183	#11718443	C₂²	1	1	yes	characteristic, complemented
184	#11718443	C₂²	1	1	yes	characteristic, complemented
185	#11718441	C₂²	1	1	yes	characteristic, complemented
186	#11718439	C₂²	1	1	yes	characteristic, complemented
187	#11718436	C₂²	1	1	yes	characteristic, complemented
188	#11718436	C₂²	1	1	yes	characteristic, complemented
189	D₁₃×#102	C₂²	1	1	yes	characteristic
190	D₁₃×#102	C₂²	1	1	yes	characteristic
191	D₁₃×#102	C₂²	1	1	yes	characteristic
192	D₁₃×#102	C₂²	1	1	yes	characteristic
193	D₁₃×#102	C₂²	1	1	yes	characteristic
194	D₁₃×#102	C₂²	1	1	yes	characteristic
195	#11718427	C₂²	1	1	yes	characteristic, complemented
196	#11718424	C₂²	1	1	yes	characteristic, complemented
197	#11718423	C₂²	1	1	yes	characteristic, complemented
198	#11718423	C₂²	1	1	yes	characteristic, complemented
199	#11718422	C₂²	1	1	yes	characteristic, complemented
200	#11718422	C₂²	1	1	yes	characteristic, complemented
201	#11718420	C₂²	1	1	yes	characteristic, complemented
202	#11718420	C₂²	1	1	yes	characteristic, complemented
203	C₂×Q₈×D₁₃	—	2	1	no	—
204	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
205	C₂×D₄×D₁₃	—	2	1	no	—
206	C₂×D₄×D₁₃	—	2	1	no	—
207	C₂×D₄×D₁₃	—	2	1	no	—
208	C₂×D₄×D₁₃	—	2	1	no	—
209	C₂×D₄×D₁₃	—	2	1	no	—
210	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₁₃	—	2	1	no	—
214	C₂²×C₄×D₁₃	—	2	1	no	—
215	C₂²×C₄×D₁₃	—	2	1	no	—
216	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
222	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
224	C₁₃×#127	C₂³	1	1	yes	characteristic
225	C₁₃×#126	—	2	1	no	—
226	C₁₃×#125	C₂³	1	1	yes	characteristic
227	C₁₃×#124	—	2	1	no	—
228	C₁₃×#124	C₂³	1	1	yes	characteristic
229	C₁₃×#123	—	2	1	no	—
230	C₁₃×#123	—	2	1	no	—
231	C₁₃×#123	—	2	1	no	—
232	C₁₃×C₂²⋊Q₈	—	2	1	no	—
233	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	—	2	1	no	—
236	C₁₃×#121	C₂³	1	1	yes	characteristic
237	C₁₃×#121	C₂³	1	1	yes	characteristic
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
243	C₁₃×#117	C₂³	1	1	yes	characteristic
244	#88201	—	2	1	no	—
245	#88201	C₂³	1	1	yes	characteristic
246	#88200	—	2	1	no	—
247	#88200	C₂³	1	1	yes	characteristic
248	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
249	#88198	—	2	1	no	—
250	C₂×#6106	C₂³	1	1	yes	characteristic
251	C₂×#6106	C₂³	1	1	yes	characteristic
252	#88194	—	2	1	no	—
253	#88194	—	2	1	no	—
254	#88194	C₂³	1	1	yes	characteristic
255	#88194	C₂³	1	1	yes	characteristic
256	#88193	—	2	1	no	—
257	#88193	—	2	1	no	—
258	#88193	—	2	1	no	—
259	#88193	—	2	1	no	—
260	#88193	—	2	1	no	—
261	#88193	—	2	1	no	—
262	#88193	—	2	1	no	—
263	#88192	—	2	1	no	—
264	#88192	—	2	1	no	—
265	#88192	C₂³	1	1	yes	characteristic
266	#88192	C₂³	1	1	yes	characteristic
267	#88192	C₂³	1	1	yes	characteristic
268	#88190	—	2	1	no	—
269	#88190	C₂³	1	1	yes	characteristic
270	#88189	—	2	1	no	—
271	#88189	—	2	1	no	—
272	#88189	—	2	1	no	—
273	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
274	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
275	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×#6105	C₂³	1	1	yes	characteristic
277	C₂×#6105	C₂³	1	1	yes	characteristic
278	C₂×#6104	C₂³	1	1	yes	characteristic
279	C₂×#6104	C₂³	1	1	yes	characteristic
280	C₂×#6104	C₂³	1	1	yes	characteristic
281	C₂×#6104	C₂³	1	1	yes	characteristic
282	#88184	—	2	1	no	—
283	#88184	—	2	1	no	—
284	#88184	C₂³	1	1	yes	characteristic
285	#88184	C₂³	1	1	yes	characteristic
286	#88184	C₂³	1	1	yes	characteristic
287	#88183	—	2	1	no	—
288	#88183	—	2	1	no	—
289	#88183	—	2	1	no	—
290	C₄×C₂²⋊D₁₃	—	2	1	no	—
291	C₄×C₂²⋊D₁₃	—	2	1	no	—
292	C₄×C₂²⋊D₁₃	—	2	1	no	—
293	#88180	C₂³	1	1	yes	characteristic
294	#88178	—	2	1	no	—
295	#88178	C₂³	1	1	yes	characteristic
296	C₂×#6099	C₂³	1	1	yes	characteristic
297	C₂²×#1055	C₂³	1	1	yes	characteristic
298	SD₁₆×D₁₃	—	4	2	no	—
299	SD₁₆×D₁₃	—	4	2	no	—
300	D₈×D₁₃	—	4	2	no	—
301	D₈×D₁₃	—	4	2	no	—
302	M₁₆×D₁₃	—	4	2	no	—
303	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
304	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
305	C₂×#6095	C₂³	1	1	yes	characteristic
306	C₂×#6095	C₂³	1	1	yes	characteristic
307	C₂×#6094	C₂³	1	1	yes	characteristic
308	C₂×#6094	C₂³	1	1	yes	characteristic
309	C₂×C₈×D₁₃	—	4	2	no	—
310	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
313	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
314	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
316	#88152	—	2	1	no	—
317	#88152	—	2	1	no	—
318	#88152	—	2	1	no	—
319	#88151	—	2	1	no	—
320	#88151	C₂³	1	1	yes	characteristic
321	#88150	—	2	1	no	—
322	#88150	—	2	1	no	—
323	#88150	—	2	1	no	—
324	#88149	—	2	1	no	—
325	#88149	—	2	1	no	—
326	#88149	C₂³	1	1	yes	characteristic
327	#88149	C₂³	1	1	yes	characteristic
328	#88149	C₂³	1	1	yes	characteristic
329	#88148	—	2	1	no	—
330	#88148	—	2	1	no	—
331	#88148	—	2	1	no	—
332	#88148	—	2	1	no	—
333	#88148	—	2	1	no	—
334	#88148	—	2	1	no	—
335	#88147	C₂³	1	1	yes	characteristic
336	#88147	C₂³	1	1	yes	characteristic
337	#88147	C₂³	1	1	yes	characteristic
338	#88146	D₄	1	1	yes	characteristic
339	#88146	D₄	1	1	yes	characteristic
340	C₄⋊C₄×D₁₃	—	2	1	no	—
341	C₄⋊C₄×D₁₃	—	2	1	no	—
342	C₄⋊C₄×D₁₃	—	2	1	no	—
343	C₄⋊C₄×D₁₃	—	2	1	no	—
344	C₄⋊C₄×D₁₃	—	2	1	no	—
345	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
346	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
347	C₄⋊C₄×D₁₃	C₂³	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	#88144	C₂³	1	1	yes	characteristic
352	#88144	C₂³	1	1	yes	characteristic
353	#88143	—	2	1	no	—
354	#88143	—	2	1	no	—
355	#88142	—	2	1	no	—
356	#88142	C₂³	1	1	yes	characteristic
357	#88142	C₂³	1	1	yes	characteristic
358	#88141	—	2	1	no	—
359	#88141	C₂³	1	1	yes	characteristic
360	#88140	—	2	1	no	—
361	#88140	—	2	1	no	—
362	#88140	—	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	#88138	—	2	1	no	—
370	#88138	—	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	#88137	—	2	1	no	—
377	#88137	—	2	1	no	—
378	#88137	—	2	1	no	—
379	#88137	—	2	1	no	—
380	#88137	—	2	1	no	—
381	#88137	—	2	1	no	—
382	#88135	—	2	1	no	—
383	#88135	—	2	1	no	—
384	#88135	—	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	—	2	1	no	—
393	C₂²⋊C₄×D₁₃	—	2	1	no	—
394	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
395	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
396	#88133	—	2	1	no	—
397	#88133	—	2	1	no	—
398	#88133	—	2	1	no	—
399	#88132	—	2	1	no	—
400	#88132	—	2	1	no	—
401	#88132	—	2	1	no	—
402	#88131	D₄	1	1	yes	characteristic
403	#88131	D₄	1	1	yes	characteristic
404	#88130	—	2	1	no	—
405	#88129	—	2	1	no	—
406	#88129	C₂³	1	1	yes	characteristic
407	#88128	C₂³	1	1	yes	characteristic
408	C₄×D₅₂	C₂³	1	1	yes	characteristic
409	C₄×D₅₂	C₂³	1	1	yes	characteristic
410	C₄×D₅₂	C₂³	1	1	yes	characteristic
411	#88126	C₂³	1	1	yes	characteristic
412	#88126	C₂³	1	1	yes	characteristic
413	C₄²×D₁₃	—	2	1	no	—
414	C₄²×D₁₃	C₂³	1	1	yes	characteristic
415	C₄²×D₁₃	C₂³	1	1	yes	characteristic
416	#88124	C₂³	1	1	yes	characteristic
417	#88123	C₂³	1	1	yes	characteristic
418	C₄×Dic₂₆	—	2	1	no	—
419	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
420	C₁₃×#107	C₂³	1	1	yes	characteristic
421	C₁₃×#107	C₂³	1	1	yes	characteristic
422	C₁₃×#106	C₂³	1	1	yes	characteristic
423	C₁₃×#106	C₂³	1	1	yes	characteristic
424	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₃×#103	C₂³	1	1	yes	characteristic
429	C₁₃×#103	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×#102	C₂³	1	1	yes	characteristic
434	C₁₃×#102	C₂³	1	1	yes	characteristic
435	C₁₃×#102	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88072	C₂³	1	1	yes	characteristic
439	#88072	C₂³	1	1	yes	characteristic
440	#88072	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88061	C₂³	1	1	yes	characteristic
445	#88061	C₂³	1	1	yes	characteristic
446	#88061	C₂³	1	1	yes	characteristic
447	#88061	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88058	C₂³	1	1	yes	characteristic
451	#88058	C₂³	1	1	yes	characteristic
452	#88057	C₂³	1	1	yes	characteristic
453	#88057	C₂³	1	1	yes	characteristic
454	#88056	C₂³	1	1	yes	characteristic
455	#88056	C₂³	1	1	yes	characteristic
456	#88054	C₂³	1	1	yes	characteristic
457	#88054	C₂³	1	1	yes	characteristic
458	#88054	C₂³	1	1	yes	characteristic
459	#88054	C₂³	1	1	yes	characteristic
460	#88054	C₂³	1	1	yes	characteristic
461	#88054	C₂³	1	1	yes	characteristic
462	#88054	C₂³	1	1	yes	characteristic
463	#88054	C₂³	1	1	yes	characteristic
464	#88050	C₂³	1	1	yes	characteristic
465	#88050	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88049	C₂³	1	1	yes	characteristic
470	#88049	C₂³	1	1	yes	characteristic
471	#88049	C₂³	1	1	yes	characteristic
472	#88048	C₂³	1	1	yes	characteristic
473	#88048	C₂³	1	1	yes	characteristic
474	#88048	C₂³	1	1	yes	characteristic
475	#88048	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	#88047	C₂³	1	1	yes	characteristic
478	#88047	C₂³	1	1	yes	characteristic
479	#88047	C₂³	1	1	yes	characteristic
480	C₄⋊#1055	C₂³	1	1	yes	characteristic
481	C₄⋊#1055	C₂³	1	1	yes	characteristic
482	C₄⋊#1055	C₂³	1	1	yes	characteristic
483	C₄⋊#1055	C₂³	1	1	yes	characteristic
484	C₂×#3257	—	13	1	no	maximal, Sylow
485	C₂³×D₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	1	no	—
487	C₂³×D₁₃	—	2	1	no	—
488	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
489	C₂×Q₈×C₁₃	—	2	1	no	—
490	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
491	C₂×D₄×C₁₃	—	2	1	no	—
492	C₂×D₄×C₁₃	—	2	1	no	—
493	C₂×D₄×C₁₃	—	2	1	no	—
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	—	2	1	no	—
496	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₁₃	—	2	1	no	—
500	C₂²×C₄×C₁₃	—	2	1	no	—
501	C₂²×C₄×C₁₃	—	2	1	no	—
502	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂×C₂²⋊D₁₃	—	2	1	no	—
504	C₂×C₂²⋊D₁₃	—	2	1	no	—
505	C₂×C₂²⋊D₁₃	—	2	1	no	—
506	C₂×C₂²⋊D₁₃	—	2	1	no	—
507	C₂×C₂²⋊D₁₃	—	2	1	no	—
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂²×Dic₁₃	—	2	1	no	—
517	C₂²×Dic₁₃	—	2	1	no	—
518	C₂²×Dic₁₃	—	2	1	no	—
519	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
520	Q₈×D₁₃	—	2	2	no	—
521	Q₈×D₁₃	—	2	2	no	—
522	Q₈×D₁₃	—	8	2	no	—
523	D₄×D₁₃	—	2	2	no	—
524	D₄×D₁₃	—	2	2	no	—
525	D₄×D₁₃	—	2	2	no	—
526	D₄×D₁₃	—	2	2	no	—
527	D₄×D₁₃	—	2	2	no	—
528	D₄×D₁₃	—	2	2	no	—
529	D₄×D₁₃	—	8	2	no	—
530	D₄×D₁₃	—	8	2	no	—
531	D₄×D₁₃	—	8	2	no	—
532	D₄×D₁₃	—	8	2	no	—
533	D₄×D₁₃	—	8	2	no	—
534	C₂×D₅₂	—	2	1	no	—
535	C₂×D₅₂	—	2	1	no	—
536	C₂×D₅₂	—	2	1	no	—
537	C₂×D₅₂	—	2	1	no	—
538	C₂×D₅₂	—	2	1	no	—
539	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
540	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
541	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
542	C₂×C₄×D₁₃	—	2	2	no	—
543	C₂×C₄×D₁₃	—	2	2	no	—
544	C₂×C₄×D₁₃	—	2	1	no	—
545	C₂×C₄×D₁₃	—	2	1	no	—
546	C₂×C₄×D₁₃	—	2	1	no	—
547	C₂×C₄×D₁₃	—	2	1	no	—
548	C₂×C₄×D₁₃	—	2	1	no	—
549	C₂×C₄×D₁₃	—	2	1	no	—
550	C₂×C₄×D₁₃	—	2	1	no	—
551	C₂×C₄×D₁₃	—	2	1	no	—
552	C₂×C₄×D₁₃	—	2	1	no	—
553	C₂×C₄×D₁₃	—	2	1	no	—
554	C₂×C₄×D₁₃	—	2	1	no	—
555	C₂×C₄×D₁₃	—	8	2	no	—
556	C₂×C₄×D₁₃	—	8	2	no	—
557	C₂×C₄×D₁₃	—	8	2	no	—
558	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
559	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
560	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
561	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
564	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
565	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
566	C₂×Dic₂₆	—	2	1	no	—
567	C₂×Dic₂₆	—	2	1	no	—
568	C₂×Dic₂₆	—	2	1	no	—
569	C₂×Dic₂₆	—	2	1	no	—
570	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
571	C₁₃×SD₁₆	—	4	1	no	—
572	C₁₃×SD₁₆	—	4	1	no	—
573	C₁₃×D₈	—	4	1	no	—
574	C₁₃×D₈	—	4	1	no	—
575	C₁₃×M₁₆	—	4	1	no	—
576	C₂×C₈×C₁₃	—	4	1	no	—
577	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
579	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
581	C₁₃×C₄⋊C₄	—	2	1	no	—
582	C₁₃×C₄⋊C₄	—	2	1	no	—
583	C₁₃×C₄⋊C₄	—	2	1	no	—
584	C₁₃×C₄⋊C₄	—	2	1	no	—
585	C₁₃×C₄⋊C₄	—	2	1	no	—
586	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
587	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
588	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
590	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₁₃×C₂²⋊C₄	—	2	1	no	—
593	C₁₃×C₂²⋊C₄	—	2	1	no	—
594	C₁₃×C₂²⋊C₄	—	2	1	no	—
595	C₁₃×C₂²⋊C₄	—	2	1	no	—
596	C₁₃×C₂²⋊C₄	—	2	1	no	—
597	C₁₃×C₂²⋊C₄	—	2	1	no	—
598	C₁₃×C₂²⋊C₄	—	2	1	no	—
599	C₁₃×C₂²⋊C₄	—	2	1	no	—
600	C₁₃×C₂²⋊C₄	—	2	1	no	—
601	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₄²×C₁₃	—	2	1	no	—
604	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
605	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
606	C₂²⋊Dic₁₃	—	2	1	no	—
607	C₂²⋊Dic₁₃	—	2	1	no	—
608	C₂²⋊Dic₁₃	—	2	1	no	—
609	C₂²⋊Dic₁₃	—	2	1	no	—
610	C₂²⋊Dic₁₃	—	2	1	no	—
611	C₂²⋊Dic₁₃	—	2	1	no	—
612	C₂²⋊Dic₁₃	—	2	1	no	—
613	C₂²⋊Dic₁₃	—	2	1	no	—
614	C₂²⋊Dic₁₃	—	2	1	no	—
615	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
616	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
617	#6106	—	4	1	no	—
618	#6106	—	4	1	no	—
619	#6105	—	4	1	no	—
620	#6105	—	4	1	no	—
621	#6104	—	4	1	no	—
622	#6104	—	4	1	no	—
623	#6104	—	4	1	no	—
624	#6104	—	4	1	no	—
625	#6103	—	2	1	no	—
626	#6103	—	2	1	no	—
627	#6103	—	2	1	no	—
628	#6103	—	2	1	no	—
629	#6103	—	2	1	no	—
630	#6103	—	2	1	no	—
631	#6103	—	2	1	no	—
632	#6103	—	2	1	no	—
633	#6103	—	2	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	C₂×D₄	1	1	yes	characteristic
644	#6103	C₂×D₄	1	1	yes	characteristic
645	#6103	C₂×D₄	1	1	yes	characteristic
646	#6103	C₂×D₄	1	1	yes	characteristic
647	C₄⋊Dic₁₃	—	2	1	no	—
648	C₄⋊Dic₁₃	—	2	1	no	—
649	C₄⋊Dic₁₃	—	2	1	no	—
650	C₄⋊Dic₁₃	—	2	1	no	—
651	C₄⋊Dic₁₃	—	2	1	no	—
652	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
653	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
654	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
657	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
658	#6101	—	2	1	no	—
659	#6101	—	2	1	no	—
660	#6101	—	2	1	no	—
661	#6101	—	2	1	no	—
662	#6101	—	2	1	no	—
663	#6101	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	C₂×D₄	1	1	yes	characteristic
673	#6101	C₂×D₄	1	1	yes	characteristic
674	#6101	C₂×D₄	1	1	yes	characteristic
675	#6101	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	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
682	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
683	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
684	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
685	#6099	—	4	1	no	—
686	C₂×#1055	—	4	1	no	—
687	C₂×#1055	C₂⁴	1	1	yes	characteristic
688	C₂×#1055	C₂⁴	1	1	yes	characteristic
689	C₂×#1055	C₂⁴	1	1	yes	characteristic
690	C₂×#1055	C₂⁴	1	1	yes	characteristic
691	D₁₀₄	—	4	1	no	—
692	D₁₀₄	—	4	1	no	—
693	#6095	—	4	1	no	—
694	#6095	—	4	1	no	—
695	#6094	—	4	1	no	—
696	#6094	—	4	1	no	—
697	C₈×D₁₃	—	2	2	no	—
698	C₈×D₁₃	—	2	2	no	—
699	C₈×D₁₃	—	2	2	no	—
700	C₈×D₁₃	—	2	2	no	—
701	C₈×D₁₃	—	4	1	no	—
702	C₈×D₁₃	—	4	1	no	—
703	C₂×#542	—	13	1	no	—
704	C₂×#540	—	13	1	no	—
705	#3257	—	13	1	no	—
706	#3257	—	13	1	no	—
707	#3257	—	13	1	no	—
708	#3257	—	13	1	no	—
709	#3257	—	13	1	no	—
710	#3257	—	13	1	no	—
711	#3257	—	13	1	no	—
712	#3257	—	13	1	no	—
713	#3257	—	13	1	no	—
714	#3257	—	13	1	no	—
715	#3257	—	13	1	no	—
716	#3257	—	13	1	no	—
717	#3257	—	13	1	no	—
718	#3257	—	13	1	no	—
719	#3257	—	13	1	no	—
720	#3257	D₁₃	1	1	yes	characteristic, direct product factor
721	C₂×#479	—	13	1	no	—
722	C₂×#478	—	13	1	no	—
723	C₂×#476	—	13	1	no	—
724	C₂×#474	—	13	1	no	—
725	C₂×#469	—	13	1	no	—
726	C₂×#468	—	13	1	no	—
727	C₂×#466	—	13	1	no	—
728	C₂×#465	—	13	1	no	—
729	C₂×#460	—	13	1	no	—
730	C₂×#463	—	13	1	no	—
731	C₂×#463	—	13	1	no	—
732	C₂×#459	—	13	1	no	—
733	C₂×#424	—	13	1	no	—
734	C₂³×C₁₃	—	2	1	no	—
735	C₂³×C₁₃	—	2	1	no	—
736	C₂³×C₁₃	—	2	1	no	—
737	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
738	C₂²×D₁₃	—	2	2	no	—
739	C₂²×D₁₃	—	2	2	no	—
740	C₂²×D₁₃	—	2	2	no	—
741	C₂²×D₁₃	—	2	1	no	—
742	C₂²×D₁₃	—	2	1	no	—
743	C₂²×D₁₃	—	2	1	no	—
744	C₂²×D₁₃	—	4	2	no	—
745	C₂²×D₁₃	—	4	2	no	—
746	C₂²×D₁₃	—	4	2	no	—
747	C₂²×D₁₃	—	4	2	no	—
748	C₂²×D₁₃	—	4	2	no	—
749	C₂²×D₁₃	—	4	2	no	—
750	C₂²×D₁₃	—	4	2	no	—
751	C₂²×D₁₃	—	4	2	no	—
752	C₂²×D₁₃	—	4	2	no	—
753	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
754	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
755	Q₈×C₁₃	—	2	1	no	—
756	Q₈×C₁₃	—	2	1	no	—
757	Q₈×C₁₃	—	8	1	no	—
758	D₄×C₁₃	—	2	1	no	—
759	D₄×C₁₃	—	2	1	no	—
760	D₄×C₁₃	—	2	1	no	—
761	D₄×C₁₃	—	2	1	no	—
762	D₄×C₁₃	—	2	1	no	—
763	D₄×C₁₃	—	2	1	no	—
764	D₄×C₁₃	—	8	1	no	—
765	D₄×C₁₃	—	8	1	no	—
766	D₄×C₁₃	—	8	1	no	—
767	D₄×C₁₃	—	8	1	no	—
768	D₄×C₁₃	—	8	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	8	1	no	—
777	C₂×C₄×C₁₃	—	8	1	no	—
778	C₂×C₄×C₁₃	—	8	1	no	—
779	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
785	C₂²⋊D₁₃	—	4	2	no	—
786	C₂²⋊D₁₃	—	4	2	no	—
787	C₂²⋊D₁₃	—	4	2	no	—
788	C₂²⋊D₁₃	—	8	1	no	—
789	C₂²⋊D₁₃	—	8	1	no	—
790	C₂²⋊D₁₃	—	8	1	no	—
791	C₂²⋊D₁₃	—	8	1	no	—
792	C₂²⋊D₁₃	—	8	1	no	—
793	C₂²⋊D₁₃	—	8	1	no	—
794	C₂²⋊D₁₃	—	8	1	no	—
795	C₂²⋊D₁₃	—	8	1	no	—
796	C₂²⋊D₁₃	—	8	1	no	—
797	C₂²⋊D₁₃	—	8	1	no	—
798	C₂×Dic₁₃	—	2	2	no	—
799	C₂×Dic₁₃	—	2	1	no	—
800	C₂×Dic₁₃	—	2	1	no	—
801	C₂×Dic₁₃	—	2	1	no	—
802	C₂×Dic₁₃	—	2	1	no	—
803	C₂×Dic₁₃	—	2	1	no	—
804	C₂×Dic₁₃	—	8	1	no	—
805	C₂×Dic₁₃	—	8	1	no	—
806	C₂×Dic₁₃	—	8	1	no	—
807	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
808	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
809	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
810	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
811	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
813	D₅₂	—	2	1	no	—
814	D₅₂	—	2	1	no	—
815	D₅₂	—	2	1	no	—
816	D₅₂	—	2	1	no	—
817	D₅₂	—	2	1	no	—
818	D₅₂	—	2	1	no	—
819	D₅₂	—	8	1	no	—
820	D₅₂	—	8	1	no	—
821	D₅₂	—	8	1	no	—
822	D₅₂	—	8	1	no	—
823	D₅₂	—	8	1	no	—
824	C₄×D₁₃	—	2	2	no	—
825	C₄×D₁₃	—	2	2	no	—
826	C₄×D₁₃	—	2	2	no	—
827	C₄×D₁₃	—	2	2	no	—
828	C₄×D₁₃	—	2	2	no	—
829	C₄×D₁₃	—	2	1	no	—
830	C₄×D₁₃	—	2	1	no	—
831	C₄×D₁₃	—	2	2	no	—
832	C₄×D₁₃	—	4	2	no	—
833	C₄×D₁₃	—	4	2	no	—
834	C₄×D₁₃	—	4	2	no	—
835	C₄×D₁₃	—	4	2	no	—
836	C₄×D₁₃	—	4	2	no	—
837	C₄×D₁₃	—	8	1	no	—
838	C₄×D₁₃	—	8	1	no	—
839	C₄×D₁₃	—	8	1	no	—
840	C₄×D₁₃	—	8	1	no	—
841	C₄×D₁₃	—	8	1	no	—
842	C₄×D₁₃	—	8	1	no	—
843	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
844	C₄×D₁₃	2₋¹⁺⁴	1	2	yes	—
845	Dic₂₆	—	2	1	no	—
846	Dic₂₆	—	2	1	no	—
847	Dic₂₆	—	4	2	no	—
848	Dic₂₆	—	8	1	no	—
849	Dic₂₆	—	8	1	no	—
850	Dic₂₆	—	8	1	no	—
851	C₈×C₁₃	—	2	1	no	—
852	C₈×C₁₃	—	2	1	no	—
853	C₈×C₁₃	—	2	1	no	—
854	C₈×C₁₃	—	2	1	no	—
855	#1055	—	2	1	no	—
856	#1055	—	2	1	no	—
857	#1055	—	2	1	no	—
858	#1055	—	2	1	no	—
859	C₂²×SD₁₆	—	13	1	no	—
860	C₂²×SD₁₆	—	13	1	no	—
861	C₂²×D₈	—	13	1	no	—
862	C₂²×D₈	—	13	1	no	—
863	C₂²×M₁₆	—	13	1	no	—
864	C₂³×C₈	—	13	1	no	—
865	#542	—	13	1	no	—
866	#542	—	13	1	no	—
867	#542	—	13	1	no	—
868	#542	—	13	1	no	—
869	#542	—	13	1	no	—
870	#542	—	13	1	no	—
871	#542	—	13	1	no	—
872	#542	—	26	1	no	—
873	#542	—	26	1	no	—
874	#542	—	26	1	no	—
875	#542	—	26	1	no	—
876	#542	C₂×D₁₃	1	1	yes	characteristic, complemented
877	#540	—	13	1	no	—
878	#540	—	13	1	no	—
879	#540	—	13	1	no	—
880	#540	—	13	1	no	—
881	#540	—	13	1	no	—
882	#540	—	13	1	no	—
883	#540	—	13	1	no	—
884	#540	—	26	1	no	—
885	#540	—	26	1	no	—
886	#540	—	26	1	no	—
887	#540	—	26	1	no	—
888	#540	C₂×D₁₃	1	1	yes	characteristic, complemented
889	C₂×C₄⋊Q₈	—	13	1	no	—
890	C₂×#127	—	13	1	no	—
891	C₂×#126	—	26	1	no	—
892	C₂×#125	—	13	1	no	—
893	C₂×#124	—	13	1	no	—
894	C₂×#124	—	26	1	no	—
895	C₂×#123	—	26	1	no	—
896	C₂×#123	—	26	1	no	—
897	C₂×#123	—	26	1	no	—
898	C₂×C₂²⋊Q₈	—	13	1	no	—
899	C₂×C₂²⋊Q₈	—	26	1	no	—
900	C₂×#121	—	13	1	no	—
901	C₂×#121	—	13	1	no	—
902	C₂×#121	—	13	1	no	—
903	C₂×#121	—	26	1	no	—
904	C₂×#121	—	26	1	no	—
905	C₂×C₄×Q₈	—	13	1	no	—
906	C₂×C₄×D₄	—	13	1	no	—
907	C₂×C₄×D₄	—	13	1	no	—
908	C₂×C₄×D₄	—	13	1	no	—
909	C₂×#117	—	13	1	no	—
910	#479	—	13	1	no	—
911	#479	—	13	1	no	—
912	#479	—	13	1	no	—
913	#479	—	13	1	no	—
914	#479	—	13	1	no	—
915	#479	—	13	1	no	—
916	#479	—	13	1	no	—
917	#479	C₂×D₁₃	1	1	yes	characteristic, complemented
918	#478	—	13	1	no	—
919	#478	—	13	1	no	—
920	#478	—	13	1	no	—
921	#478	—	13	1	no	—
922	#478	—	13	1	no	—
923	#478	—	13	1	no	—
924	#478	—	13	1	no	—
925	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
926	#476	—	13	1	no	—
927	#476	—	13	1	no	—
928	#476	—	13	1	no	—
929	#476	—	13	1	no	—
930	#476	—	13	1	no	—
931	#476	—	13	1	no	—
932	#476	—	13	1	no	—
933	#476	C₂×D₁₃	1	1	yes	characteristic, complemented
934	#474	—	13	1	no	—
935	#474	—	13	1	no	—
936	#474	—	13	1	no	—
937	#474	—	13	1	no	—
938	#474	—	13	1	no	—
939	#474	—	13	1	no	—
940	#474	—	13	1	no	—
941	#474	C₂×D₁₃	1	1	yes	characteristic, complemented
942	#469	—	13	1	no	—
943	#469	—	13	1	no	—
944	#469	—	13	1	no	—
945	#469	—	13	1	no	—
946	#469	—	13	1	no	—
947	#469	—	13	1	no	—
948	#469	—	13	1	no	—
949	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
950	#468	—	13	1	no	—
951	#468	—	13	1	no	—
952	#468	—	13	1	no	—
953	#468	—	13	1	no	—
954	#468	—	13	1	no	—
955	#468	—	13	1	no	—
956	#468	—	13	1	no	—
957	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
958	#466	—	13	1	no	—
959	#466	—	13	1	no	—
960	#466	—	13	1	no	—
961	#466	—	13	1	no	—
962	#466	—	13	1	no	—
963	#466	—	13	1	no	—
964	#466	—	13	1	no	—
965	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
966	#465	—	13	1	no	—
967	#465	—	13	1	no	—
968	#465	—	13	1	no	—
969	#465	—	13	1	no	—
970	#465	—	13	1	no	—
971	#465	—	13	1	no	—
972	#465	—	13	1	no	—
973	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
974	#463	—	13	1	no	—
975	#463	—	13	1	no	—
976	#463	—	13	1	no	—
977	#463	—	13	1	no	—
978	#463	—	13	1	no	—
979	#463	—	13	1	no	—
980	#463	—	13	1	no	—
981	#463	—	13	1	no	—
982	#463	—	13	1	no	—
983	#463	—	13	1	no	—
984	#463	—	13	1	no	—
985	#463	—	13	1	no	—
986	#463	—	13	1	no	—
987	#463	—	13	1	no	—
988	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
989	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
990	#460	—	13	1	no	—
991	#460	—	13	1	no	—
992	#460	—	13	1	no	—
993	#460	—	13	1	no	—
994	#460	—	13	1	no	—
995	#460	—	13	1	no	—
996	#460	—	13	1	no	—
997	#460	C₂×D₁₃	1	1	yes	characteristic, complemented
998	#459	—	13	1	no	—
999	#459	—	13	1	no	—
1000	#459	—	13	1	no	—
1001	#459	—	13	1	no	—
1002	#459	—	13	1	no	—
1003	#459	—	13	1	no	—
1004	#459	—	13	1	no	—
1005	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
1006	C₂×#107	—	13	1	no	—
1007	C₂×#107	—	13	1	no	—
1008	C₂×#106	—	13	1	no	—
1009	C₂×#106	—	13	1	no	—
1010	#424	—	13	1	no	—
1011	#424	—	13	1	no	—
1012	#424	—	13	1	no	—
1013	#424	—	13	1	no	—
1014	#424	—	13	1	no	—
1015	#424	—	13	1	no	—
1016	#424	—	13	1	no	—
1017	#424	C₂×D₁₃	1	1	yes	characteristic, complemented
1018	C₂×C₄⋊C₈	—	13	1	no	—
1019	C₂×C₄⋊C₈	—	13	1	no	—
1020	C₂×C₄⋊C₈	—	13	1	no	—
1021	C₂×C₄⋊C₈	—	13	1	no	—
1022	C₂×#103	—	13	1	no	—
1023	C₂×#103	—	13	1	no	—
1024	C₂×#102	—	13	1	no	—
1025	C₂×#102	—	13	1	no	—
1026	C₂×#102	—	13	1	no	—
1027	C₂×#102	—	13	1	no	—
1028	C₂×#102	—	13	1	no	—
1029	C₂×#102	—	13	1	no	—
1030	C₂²×C₁₃	—	2	1	no	—
1031	C₂²×C₁₃	—	2	1	no	—
1032	C₂²×C₁₃	—	2	1	no	—
1033	C₂²×C₁₃	—	4	1	no	—
1034	C₂²×C₁₃	—	4	1	no	—
1035	C₂²×C₁₃	—	4	1	no	—
1036	C₂²×C₁₃	—	4	1	no	—
1037	C₂²×C₁₃	—	4	1	no	—
1038	C₂²×C₁₃	—	4	1	no	—
1039	C₂²×C₁₃	—	4	1	no	—
1040	C₂²×C₁₃	—	4	1	no	—
1041	C₂²×C₁₃	—	4	1	no	—
1042	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1043	C₂×D₁₃	—	2	1	no	—
1044	C₂×D₁₃	—	2	1	no	—
1045	C₂×D₁₃	—	2	1	no	—
1046	C₂×D₁₃	—	4	4	no	—
1047	C₂×D₁₃	—	4	1	no	—
1048	C₂×D₁₃	—	4	1	no	—
1049	C₂×D₁₃	—	4	1	no	—
1050	C₂×D₁₃	—	4	1	no	—
1051	C₂×D₁₃	—	4	1	no	—
1052	C₂×D₁₃	—	4	1	no	—
1053	C₂×D₁₃	—	4	1	no	—
1054	C₂×D₁₃	—	4	1	no	—
1055	C₂×D₁₃	—	4	1	no	—
1056	C₂×D₁₃	—	8	4	no	—
1057	C₂×D₁₃	—	8	4	no	—
1058	C₂×D₁₃	—	8	4	no	—
1059	C₂×D₁₃	#537	1	2	yes	—
1060	C₂×D₁₃	#576	1	2	yes	—
1061	C₂×D₁₃	#577	1	2	yes	—
1062	C₄×C₁₃	—	2	1	no	—
1063	C₄×C₁₃	—	2	1	no	—
1064	C₄×C₁₃	—	2	1	no	—
1065	C₄×C₁₃	—	2	1	no	—
1066	C₄×C₁₃	—	2	1	no	—
1067	C₄×C₁₃	—	4	1	no	—
1068	C₄×C₁₃	—	4	1	no	—
1069	C₄×C₁₃	—	4	1	no	—
1070	C₄×C₁₃	—	4	1	no	—
1071	C₄×C₁₃	—	4	1	no	—
1072	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1073	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1074	Dic₁₃	—	2	1	no	—
1075	Dic₁₃	—	2	1	no	—
1076	Dic₁₃	—	2	1	no	—
1077	Dic₁₃	—	2	1	no	—
1078	Dic₁₃	—	2	1	no	—
1079	Dic₁₃	—	4	1	no	—
1080	Dic₁₃	—	4	1	no	—
1081	Dic₁₃	—	4	1	no	—
1082	Dic₁₃	—	4	1	no	—
1083	Dic₁₃	—	4	1	no	—
1084	Dic₁₃	#537	1	2	yes	—
1085	C₂²×Q₈	—	13	1	no	—
1086	C₂²×Q₈	—	26	1	no	—
1087	C₂²×D₄	—	13	1	no	—
1088	C₂²×D₄	—	13	1	no	—
1089	C₂²×D₄	—	13	1	no	—
1090	C₂²×D₄	—	26	1	no	—
1091	C₂²×D₄	—	26	1	no	—
1092	C₂²×D₄	—	26	1	no	—
1093	C₂²×D₄	—	26	1	no	—
1094	C₂²×D₄	—	26	1	no	—
1095	C₂³×C₄	—	13	1	no	—
1096	C₂³×C₄	—	26	1	no	—
1097	C₂³×C₄	—	26	1	no	—
1098	C₂³×C₄	—	26	1	no	—
1099	C₂×SD₁₆	—	13	1	no	—
1100	C₂×SD₁₆	—	13	1	no	—
1101	C₂×SD₁₆	—	13	1	no	—
1102	C₂×SD₁₆	—	13	1	no	—
1103	C₂×SD₁₆	—	13	1	no	—
1104	C₂×SD₁₆	—	13	1	no	—
1105	C₂×SD₁₆	—	52	2	no	—
1106	C₂×SD₁₆	—	52	2	no	—
1107	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1108	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1109	C₂×D₈	—	13	1	no	—
1110	C₂×D₈	—	13	1	no	—
1111	C₂×D₈	—	13	1	no	—
1112	C₂×D₈	—	13	1	no	—
1113	C₂×D₈	—	13	1	no	—
1114	C₂×D₈	—	13	1	no	—
1115	C₂×D₈	—	52	2	no	—
1116	C₂×D₈	—	52	2	no	—
1117	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1118	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1119	C₂×M₁₆	—	13	1	no	—
1120	C₂×M₁₆	—	13	1	no	—
1121	C₂×M₁₆	—	13	1	no	—
1122	C₂×M₁₆	—	52	2	no	—
1123	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1124	C₂²×C₈	—	13	1	no	—
1125	C₂²×C₈	—	13	1	no	—
1126	C₂²×C₈	—	13	1	no	—
1127	C₂²×C₈	—	13	1	no	—
1128	C₂²×C₈	—	13	1	no	—
1129	C₂²×C₈	—	13	1	no	—
1130	C₂²×C₈	—	13	1	no	—
1131	C₂²×C₈	—	52	2	no	—
1132	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1133	C₄⋊Q₈	—	13	1	no	—
1134	C₄⋊Q₈	—	13	1	no	—
1135	C₄⋊Q₈	—	13	1	no	—
1136	C₄⋊Q₈	—	26	1	no	—
1137	C₄⋊Q₈	—	26	1	no	—
1138	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1139	#127	—	13	1	no	—
1140	#127	—	13	1	no	—
1141	#127	—	13	1	no	—
1142	#127	—	26	1	no	—
1143	#127	—	26	1	no	—
1144	#127	C₂²×D₁₃	1	1	yes	characteristic
1145	#126	—	2	1	no	—
1146	#126	—	26	1	no	—
1147	#126	—	26	1	no	—
1148	#126	—	26	1	no	—
1149	#126	—	26	1	no	—
1150	#126	—	26	1	no	—
1151	#126	—	26	1	no	—
1152	#126	—	26	1	no	—
1153	#125	—	13	1	no	—
1154	#125	—	13	1	no	—
1155	#125	—	13	1	no	—
1156	#125	—	26	1	no	—
1157	#125	—	26	1	no	—
1158	#125	C₂²×D₁₃	1	1	yes	characteristic
1159	#124	—	2	1	no	—
1160	#124	—	13	1	no	—
1161	#124	—	13	1	no	—
1162	#124	—	13	1	no	—
1163	#124	—	26	1	no	—
1164	#124	—	26	1	no	—
1165	#124	—	26	1	no	—
1166	#124	—	26	1	no	—
1167	#124	—	26	1	no	—
1168	#124	—	26	1	no	—
1169	#124	—	26	1	no	—
1170	#124	—	26	1	no	—
1171	#124	—	26	1	no	—
1172	#124	C₂²×D₁₃	1	1	yes	characteristic
1173	#123	—	2	1	no	—
1174	#123	—	2	1	no	—
1175	#123	—	2	1	no	—
1176	#123	—	26	1	no	—
1177	#123	—	26	1	no	—
1178	#123	—	26	1	no	—
1179	#123	—	26	1	no	—
1180	#123	—	26	1	no	—
1181	#123	—	26	1	no	—
1182	#123	—	26	1	no	—
1183	#123	—	26	1	no	—
1184	#123	—	26	1	no	—
1185	#123	—	26	1	no	—
1186	#123	—	26	1	no	—
1187	#123	—	26	1	no	—
1188	#123	—	26	1	no	—
1189	#123	—	26	1	no	—
1190	#123	—	26	1	no	—
1191	#123	—	26	1	no	—
1192	#123	—	26	1	no	—
1193	#123	—	26	1	no	—
1194	#123	—	26	1	no	—
1195	#123	—	26	1	no	—
1196	#123	—	26	1	no	—
1197	C₂²⋊Q₈	—	2	1	no	—
1198	C₂²⋊Q₈	—	13	1	no	—
1199	C₂²⋊Q₈	—	13	1	no	—
1200	C₂²⋊Q₈	—	13	1	no	—
1201	C₂²⋊Q₈	—	26	1	no	—
1202	C₂²⋊Q₈	—	26	1	no	—
1203	C₂²⋊Q₈	—	26	1	no	—
1204	C₂²⋊Q₈	—	26	1	no	—
1205	C₂²⋊Q₈	—	26	1	no	—
1206	C₂²⋊Q₈	—	26	1	no	—
1207	C₂²⋊Q₈	—	26	1	no	—
1208	C₂²⋊Q₈	—	26	1	no	—
1209	C₂²⋊Q₈	—	26	1	no	—
1210	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1211	#121	—	2	1	no	—
1212	#121	—	2	1	no	—
1213	#121	—	13	1	no	—
1214	#121	—	13	1	no	—
1215	#121	—	13	1	no	—
1216	#121	—	13	1	no	—
1217	#121	—	13	1	no	—
1218	#121	—	13	1	no	—
1219	#121	—	13	1	no	—
1220	#121	—	13	1	no	—
1221	#121	—	13	1	no	—
1222	#121	—	26	1	no	—
1223	#121	—	26	1	no	—
1224	#121	—	26	1	no	—
1225	#121	—	26	1	no	—
1226	#121	—	26	1	no	—
1227	#121	—	26	1	no	—
1228	#121	—	26	1	no	—
1229	#121	—	26	1	no	—
1230	#121	—	26	1	no	—
1231	#121	—	26	1	no	—
1232	#121	—	26	1	no	—
1233	#121	—	26	1	no	—
1234	#121	—	26	1	no	—
1235	#121	—	26	1	no	—
1236	#121	—	26	1	no	—
1237	#121	—	26	1	no	—
1238	#121	—	26	1	no	—
1239	#121	—	26	1	no	—
1240	#121	—	26	1	no	—
1241	#121	—	26	1	no	—
1242	#121	C₂²×D₁₃	1	1	yes	characteristic
1243	#121	C₂²×D₁₃	1	1	yes	characteristic
1244	#121	C₂²×D₁₃	1	1	yes	characteristic
1245	C₄×Q₈	—	13	1	no	—
1246	C₄×Q₈	—	13	1	no	—
1247	C₄×Q₈	—	13	1	no	—
1248	C₄×Q₈	—	26	1	no	—
1249	C₄×Q₈	—	26	1	no	—
1250	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1251	C₄×D₄	—	13	1	no	—
1252	C₄×D₄	—	13	1	no	—
1253	C₄×D₄	—	13	1	no	—
1254	C₄×D₄	—	13	1	no	—
1255	C₄×D₄	—	13	1	no	—
1256	C₄×D₄	—	13	1	no	—
1257	C₄×D₄	—	13	1	no	—
1258	C₄×D₄	—	13	1	no	—
1259	C₄×D₄	—	13	1	no	—
1260	C₄×D₄	—	26	1	no	—
1261	C₄×D₄	—	26	1	no	—
1262	C₄×D₄	—	26	1	no	—
1263	C₄×D₄	—	26	1	no	—
1264	C₄×D₄	—	26	1	no	—
1265	C₄×D₄	—	26	1	no	—
1266	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1267	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1268	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1269	#117	—	13	1	no	—
1270	#117	—	13	1	no	—
1271	#117	—	13	1	no	—
1272	#117	—	13	1	no	—
1273	#117	—	13	1	no	—
1274	#117	—	13	1	no	—
1275	#117	—	13	1	no	—
1276	#117	C₂²×D₁₃	1	1	yes	characteristic
1277	C₂×C₄⋊C₄	—	13	1	no	—
1278	C₂×C₄⋊C₄	—	13	1	no	—
1279	C₂×C₄⋊C₄	—	13	1	no	—
1280	C₂×C₄⋊C₄	—	13	1	no	—
1281	C₂×C₄⋊C₄	—	13	1	no	—
1282	C₂×C₄⋊C₄	—	13	1	no	—
1283	C₂×C₄⋊C₄	—	26	1	no	—
1284	C₂×C₄⋊C₄	—	26	1	no	—
1285	C₂×C₄⋊C₄	—	26	1	no	—
1286	C₂×C₄⋊C₄	—	26	1	no	—
1287	C₂×C₄⋊C₄	—	26	1	no	—
1288	C₂×C₂²⋊C₄	—	13	1	no	—
1289	C₂×C₂²⋊C₄	—	13	1	no	—
1290	C₂×C₂²⋊C₄	—	26	1	no	—
1291	C₂×C₂²⋊C₄	—	26	1	no	—
1292	C₂×C₂²⋊C₄	—	26	1	no	—
1293	C₂×C₂²⋊C₄	—	26	1	no	—
1294	C₂×C₂²⋊C₄	—	26	1	no	—
1295	C₂×C₂²⋊C₄	—	26	1	no	—
1296	C₂×C₂²⋊C₄	—	26	1	no	—
1297	C₂×C₂²⋊C₄	—	26	1	no	—
1298	C₂×C₂²⋊C₄	—	26	1	no	—
1299	C₂×C₄²	—	13	1	no	—
1300	C₂×C₄²	—	13	1	no	—
1301	C₂×C₄²	—	26	1	no	—
1302	#107	—	13	1	no	—
1303	#107	—	13	1	no	—
1304	#107	—	13	1	no	—
1305	#107	—	13	1	no	—
1306	#107	—	13	1	no	—
1307	#107	—	13	1	no	—
1308	#107	C₂²×D₁₃	1	1	yes	characteristic
1309	#107	C₂²×D₁₃	1	1	yes	characteristic
1310	#106	—	13	1	no	—
1311	#106	—	13	1	no	—
1312	#106	—	13	1	no	—
1313	#106	—	13	1	no	—
1314	#106	—	13	1	no	—
1315	#106	—	13	1	no	—
1316	#106	C₂²×D₁₃	1	1	yes	characteristic
1317	#106	C₂²×D₁₃	1	1	yes	characteristic
1318	C₄⋊C₈	—	13	1	no	—
1319	C₄⋊C₈	—	13	1	no	—
1320	C₄⋊C₈	—	13	1	no	—
1321	C₄⋊C₈	—	13	1	no	—
1322	C₄⋊C₈	—	13	1	no	—
1323	C₄⋊C₈	—	13	1	no	—
1324	C₄⋊C₈	—	13	1	no	—
1325	C₄⋊C₈	—	13	1	no	—
1326	C₄⋊C₈	—	13	1	no	—
1327	C₄⋊C₈	—	13	1	no	—
1328	C₄⋊C₈	—	13	1	no	—
1329	C₄⋊C₈	—	13	1	no	—
1330	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1331	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1332	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1333	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1334	#103	—	13	1	no	—
1335	#103	—	13	1	no	—
1336	#103	—	13	1	no	—
1337	#103	—	13	1	no	—
1338	#103	—	13	1	no	—
1339	#103	—	13	1	no	—
1340	#103	C₂²×D₁₃	1	1	yes	characteristic
1341	#103	C₂²×D₁₃	1	1	yes	characteristic
1342	#102	—	13	1	no	—
1343	#102	—	13	1	no	—
1344	#102	—	13	1	no	—
1345	#102	—	13	1	no	—
1346	#102	—	13	1	no	—
1347	#102	—	13	1	no	—
1348	#102	—	13	1	no	—
1349	#102	—	13	1	no	—
1350	#102	—	13	1	no	—
1351	#102	—	13	1	no	—
1352	#102	—	13	1	no	—
1353	#102	—	13	1	no	—
1354	#102	—	13	1	no	—
1355	#102	—	13	1	no	—
1356	#102	—	13	1	no	—
1357	#102	—	13	1	no	—
1358	#102	—	13	1	no	—
1359	#102	—	13	1	no	—
1360	#102	C₂²×D₁₃	1	1	yes	characteristic
1361	#102	C₂²×D₁₃	1	1	yes	characteristic
1362	#102	C₂²×D₁₃	1	1	yes	characteristic
1363	#102	C₂²×D₁₃	1	1	yes	characteristic
1364	#102	C₂²×D₁₃	1	1	yes	characteristic
1365	#102	C₂²×D₁₃	1	1	yes	characteristic
1366	C₂×C₁₃	—	4	1	no	—
1367	C₂×C₁₃	—	8	1	no	—
1368	C₂×C₁₃	—	8	1	no	—
1369	C₂×C₁₃	—	8	1	no	—
1370	C₂×C₁₃	C₂×#537	1	1	yes	characteristic
1371	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1372	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1373	D₁₃	—	4	1	no	—
1374	D₁₃	—	8	1	no	—
1375	D₁₃	—	8	1	no	—
1376	D₁₃	—	8	1	no	—
1377	D₁₃	#3257	1	4	yes	direct product factor
1378	C₂⁴	—	13	1	no	—
1379	C₂⁴	—	26	1	no	—
1380	C₂⁴	—	26	1	no	—
1381	C₂⁴	—	26	1	no	—
1382	C₂×Q₈	—	2	1	no	—
1383	C₂×Q₈	—	13	1	no	—
1384	C₂×Q₈	—	26	1	no	—
1385	C₂×Q₈	—	26	1	no	—
1386	C₂×Q₈	—	26	1	no	—
1387	C₂×Q₈	—	26	2	no	—
1388	C₂×Q₈	—	26	2	no	—
1389	C₂×Q₈	—	26	1	no	—
1390	C₂×Q₈	—	104	2	no	—
1391	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	2	1	no	—
1395	C₂×D₄	—	2	1	no	—
1396	C₂×D₄	—	2	1	no	—
1397	C₂×D₄	—	13	1	no	—
1398	C₂×D₄	—	13	1	no	—
1399	C₂×D₄	—	13	1	no	—
1400	C₂×D₄	—	26	1	no	—
1401	C₂×D₄	—	26	1	no	—
1402	C₂×D₄	—	26	1	no	—
1403	C₂×D₄	—	26	2	no	—
1404	C₂×D₄	—	26	2	no	—
1405	C₂×D₄	—	26	2	no	—
1406	C₂×D₄	—	26	2	no	—
1407	C₂×D₄	—	26	2	no	—
1408	C₂×D₄	—	26	2	no	—
1409	C₂×D₄	—	26	1	no	—
1410	C₂×D₄	—	26	1	no	—
1411	C₂×D₄	—	26	1	no	—
1412	C₂×D₄	—	26	1	no	—
1413	C₂×D₄	—	26	1	no	—
1414	C₂×D₄	—	26	1	no	—
1415	C₂×D₄	—	26	1	no	—
1416	C₂×D₄	—	26	1	no	—
1417	C₂×D₄	—	26	1	no	—
1418	C₂×D₄	—	26	1	no	—
1419	C₂×D₄	—	26	1	no	—
1420	C₂×D₄	—	26	1	no	—
1421	C₂×D₄	—	26	1	no	—
1422	C₂×D₄	—	26	1	no	—
1423	C₂×D₄	—	26	1	no	—
1424	C₂×D₄	—	104	2	no	—
1425	C₂×D₄	—	104	2	no	—
1426	C₂×D₄	—	104	2	no	—
1427	C₂×D₄	—	104	2	no	—
1428	C₂×D₄	—	104	2	no	—
1429	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1430	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1431	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	2	1	no	—
1435	C₂²×C₄	—	13	1	no	—
1436	C₂²×C₄	—	13	1	no	—
1437	C₂²×C₄	—	13	1	no	—
1438	C₂²×C₄	—	13	1	no	—
1439	C₂²×C₄	—	13	1	no	—
1440	C₂²×C₄	—	13	1	no	—
1441	C₂²×C₄	—	13	1	no	—
1442	C₂²×C₄	—	13	1	no	—
1443	C₂²×C₄	—	13	1	no	—
1444	C₂²×C₄	—	26	2	no	—
1445	C₂²×C₄	—	26	2	no	—
1446	C₂²×C₄	—	26	1	no	—
1447	C₂²×C₄	—	26	1	no	—
1448	C₂²×C₄	—	26	1	no	—
1449	C₂²×C₄	—	26	1	no	—
1450	C₂²×C₄	—	26	1	no	—
1451	C₂²×C₄	—	26	1	no	—
1452	C₂²×C₄	—	26	1	no	—
1453	C₂²×C₄	—	26	1	no	—
1454	C₂²×C₄	—	26	1	no	—
1455	C₂²×C₄	—	26	1	no	—
1456	C₂²×C₄	—	26	1	no	—
1457	C₂²×C₄	—	26	1	no	—
1458	C₂²×C₄	—	26	1	no	—
1459	C₂²×C₄	—	26	1	no	—
1460	C₂²×C₄	—	104	2	no	—
1461	C₂²×C₄	—	104	2	no	—
1462	C₂²×C₄	—	104	2	no	—
1463	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1464	SD₁₆	—	4	1	no	—
1465	SD₁₆	—	4	1	no	—
1466	SD₁₆	—	52	1	no	—
1467	SD₁₆	—	52	1	no	—
1468	SD₁₆	—	52	1	no	—
1469	SD₁₆	—	52	1	no	—
1470	SD₁₆	—	52	1	no	—
1471	SD₁₆	—	52	1	no	—
1472	D₈	—	4	1	no	—
1473	D₈	—	4	1	no	—
1474	D₈	—	52	1	no	—
1475	D₈	—	52	1	no	—
1476	D₈	—	52	1	no	—
1477	D₈	—	52	1	no	—
1478	D₈	—	52	1	no	—
1479	D₈	—	52	1	no	—
1480	M₁₆	—	4	1	no	—
1481	M₁₆	—	52	1	no	—
1482	M₁₆	—	52	1	no	—
1483	M₁₆	—	52	1	no	—
1484	C₂×C₈	—	4	1	no	—
1485	C₂×C₈	—	13	1	no	—
1486	C₂×C₈	—	13	1	no	—
1487	C₂×C₈	—	13	1	no	—
1488	C₂×C₈	—	13	1	no	—
1489	C₂×C₈	—	26	2	no	—
1490	C₂×C₈	—	26	2	no	—
1491	C₂×C₈	—	26	2	no	—
1492	C₂×C₈	—	26	2	no	—
1493	C₂×C₈	—	52	1	no	—
1494	C₂×C₈	—	52	1	no	—
1495	C₂×C₈	—	52	1	no	—
1496	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1497	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1498	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1499	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	13	1	no	—
1506	C₄⋊C₄	—	13	1	no	—
1507	C₄⋊C₄	—	13	1	no	—
1508	C₄⋊C₄	—	13	1	no	—
1509	C₄⋊C₄	—	13	1	no	—
1510	C₄⋊C₄	—	13	1	no	—
1511	C₄⋊C₄	—	13	1	no	—
1512	C₄⋊C₄	—	13	1	no	—
1513	C₄⋊C₄	—	13	1	no	—
1514	C₄⋊C₄	—	13	1	no	—
1515	C₄⋊C₄	—	26	1	no	—
1516	C₄⋊C₄	—	26	1	no	—
1517	C₄⋊C₄	—	26	1	no	—
1518	C₄⋊C₄	—	26	1	no	—
1519	C₄⋊C₄	—	26	1	no	—
1520	C₄⋊C₄	—	26	1	no	—
1521	C₄⋊C₄	—	26	1	no	—
1522	C₄⋊C₄	—	26	1	no	—
1523	C₄⋊C₄	—	26	1	no	—
1524	C₄⋊C₄	—	26	1	no	—
1525	C₄⋊C₄	—	26	1	no	—
1526	C₄⋊C₄	—	26	1	no	—
1527	C₄⋊C₄	—	26	1	no	—
1528	C₄⋊C₄	—	26	1	no	—
1529	C₄⋊C₄	—	26	1	no	—
1530	C₄⋊C₄	—	26	1	no	—
1531	C₄⋊C₄	—	26	1	no	—
1532	C₄⋊C₄	—	26	1	no	—
1533	C₄⋊C₄	—	26	1	no	—
1534	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1535	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1536	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1537	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1538	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1539	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	13	1	no	—
1550	C₂²⋊C₄	—	13	1	no	—
1551	C₂²⋊C₄	—	13	1	no	—
1552	C₂²⋊C₄	—	13	1	no	—
1553	C₂²⋊C₄	—	13	1	no	—
1554	C₂²⋊C₄	—	13	1	no	—
1555	C₂²⋊C₄	—	26	1	no	—
1556	C₂²⋊C₄	—	26	1	no	—
1557	C₂²⋊C₄	—	26	1	no	—
1558	C₂²⋊C₄	—	26	1	no	—
1559	C₂²⋊C₄	—	26	1	no	—
1560	C₂²⋊C₄	—	26	1	no	—
1561	C₂²⋊C₄	—	26	1	no	—
1562	C₂²⋊C₄	—	26	1	no	—
1563	C₂²⋊C₄	—	26	1	no	—
1564	C₂²⋊C₄	—	26	1	no	—
1565	C₂²⋊C₄	—	26	1	no	—
1566	C₂²⋊C₄	—	26	1	no	—
1567	C₂²⋊C₄	—	26	1	no	—
1568	C₂²⋊C₄	—	26	1	no	—
1569	C₂²⋊C₄	—	26	1	no	—
1570	C₂²⋊C₄	—	26	1	no	—
1571	C₂²⋊C₄	—	26	1	no	—
1572	C₂²⋊C₄	—	26	1	no	—
1573	C₂²⋊C₄	—	26	1	no	—
1574	C₂²⋊C₄	—	26	1	no	—
1575	C₂²⋊C₄	—	26	1	no	—
1576	C₂²⋊C₄	—	26	1	no	—
1577	C₂²⋊C₄	—	26	1	no	—
1578	C₂²⋊C₄	—	26	1	no	—
1579	C₂²⋊C₄	—	26	1	no	—
1580	C₂²⋊C₄	—	26	1	no	—
1581	C₂²⋊C₄	—	26	1	no	—
1582	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1583	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1584	C₄²	—	2	1	no	—
1585	C₄²	—	13	1	no	—
1586	C₄²	—	13	1	no	—
1587	C₄²	—	13	1	no	—
1588	C₄²	—	13	1	no	—
1589	C₄²	—	13	1	no	—
1590	C₄²	—	13	1	no	—
1591	C₄²	—	26	1	no	—
1592	C₄²	—	26	1	no	—
1593	C₄²	—	26	1	no	—
1594	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1595	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1596	C₁₃	C₂×#3257	1	1	yes	characteristic, complemented, Sylow
1597	C₂³	—	2	1	no	—
1598	C₂³	—	2	1	no	—
1599	C₂³	—	2	1	no	—
1600	C₂³	—	13	1	no	—
1601	C₂³	—	13	1	no	—
1602	C₂³	—	26	2	no	—
1603	C₂³	—	26	2	no	—
1604	C₂³	—	26	2	no	—
1605	C₂³	—	26	1	no	—
1606	C₂³	—	26	1	no	—
1607	C₂³	—	26	1	no	—
1608	C₂³	—	52	2	no	—
1609	C₂³	—	52	2	no	—
1610	C₂³	—	52	2	no	—
1611	C₂³	—	52	2	no	—
1612	C₂³	—	52	2	no	—
1613	C₂³	—	52	2	no	—
1614	C₂³	—	52	2	no	—
1615	C₂³	—	52	2	no	—
1616	C₂³	—	52	2	no	—
1617	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1618	Q₈	—	2	1	no	—
1619	Q₈	—	2	1	no	—
1620	Q₈	—	8	1	no	—
1621	Q₈	—	26	1	no	—
1622	Q₈	—	26	1	no	—
1623	Q₈	—	52	2	no	—
1624	Q₈	—	104	1	no	—
1625	Q₈	—	104	1	no	—
1626	Q₈	—	104	1	no	—
1627	D₄	—	2	1	no	—
1628	D₄	—	2	1	no	—
1629	D₄	—	2	1	no	—
1630	D₄	—	2	1	no	—
1631	D₄	—	2	1	no	—
1632	D₄	—	2	1	no	—
1633	D₄	—	8	1	no	—
1634	D₄	—	8	1	no	—
1635	D₄	—	8	1	no	—
1636	D₄	—	8	1	no	—
1637	D₄	—	8	1	no	—
1638	D₄	—	26	1	no	—
1639	D₄	—	26	1	no	—
1640	D₄	—	26	1	no	—
1641	D₄	—	26	1	no	—
1642	D₄	—	26	1	no	—
1643	D₄	—	26	1	no	—
1644	D₄	—	52	2	no	—
1645	D₄	—	52	2	no	—
1646	D₄	—	52	2	no	—
1647	D₄	—	104	1	no	—
1648	D₄	—	104	1	no	—
1649	D₄	—	104	1	no	—
1650	D₄	—	104	1	no	—
1651	D₄	—	104	1	no	—
1652	D₄	—	104	1	no	—
1653	D₄	—	104	1	no	—
1654	D₄	—	104	1	no	—
1655	D₄	—	104	1	no	—
1656	D₄	—	104	1	no	—
1657	D₄	—	104	1	no	—
1658	D₄	—	104	1	no	—
1659	D₄	—	104	1	no	—
1660	D₄	—	104	1	no	—
1661	D₄	—	104	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	8	1	no	—
1670	C₂×C₄	—	8	1	no	—
1671	C₂×C₄	—	8	1	no	—
1672	C₂×C₄	—	13	1	no	—
1673	C₂×C₄	—	13	2	no	—
1674	C₂×C₄	—	13	2	no	—
1675	C₂×C₄	—	13	1	no	—
1676	C₂×C₄	—	13	1	no	—
1677	C₂×C₄	—	13	1	no	—
1678	C₂×C₄	—	13	1	no	—
1679	C₂×C₄	—	13	1	no	—
1680	C₂×C₄	—	26	2	no	—
1681	C₂×C₄	—	26	2	no	—
1682	C₂×C₄	—	26	2	no	—
1683	C₂×C₄	—	26	2	no	—
1684	C₂×C₄	—	26	2	no	—
1685	C₂×C₄	—	26	2	no	—
1686	C₂×C₄	—	26	2	no	—
1687	C₂×C₄	—	26	1	no	—
1688	C₂×C₄	—	26	1	no	—
1689	C₂×C₄	—	26	1	no	—
1690	C₂×C₄	—	26	1	no	—
1691	C₂×C₄	—	26	1	no	—
1692	C₂×C₄	—	26	1	no	—
1693	C₂×C₄	—	26	1	no	—
1694	C₂×C₄	—	52	2	no	—
1695	C₂×C₄	—	52	2	no	—
1696	C₂×C₄	—	52	2	no	—
1697	C₂×C₄	—	52	2	no	—
1698	C₂×C₄	—	52	2	no	—
1699	C₂×C₄	—	104	1	no	—
1700	C₂×C₄	—	104	1	no	—
1701	C₂×C₄	—	104	1	no	—
1702	C₂×C₄	—	104	1	no	—
1703	C₂×C₄	—	104	1	no	—
1704	C₂×C₄	—	104	1	no	—
1705	C₂×C₄	—	104	1	no	—
1706	C₂×C₄	—	104	1	no	—
1707	C₂×C₄	—	104	1	no	—
1708	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1709	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1710	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1711	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1712	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1713	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1714	C₈	—	2	1	no	—
1715	C₈	—	2	1	no	—
1716	C₈	—	2	1	no	—
1717	C₈	—	2	1	no	—
1718	C₈	—	26	1	no	—
1719	C₈	—	26	1	no	—
1720	C₈	—	26	1	no	—
1721	C₈	—	26	1	no	—
1722	C₂²	—	2	1	no	—
1723	C₂²	—	2	1	no	—
1724	C₂²	—	2	1	no	—
1725	C₂²	—	4	1	no	—
1726	C₂²	—	4	1	no	—
1727	C₂²	—	4	1	no	—
1728	C₂²	—	4	1	no	—
1729	C₂²	—	4	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	4	1	no	—
1734	C₂²	—	13	2	no	—
1735	C₂²	—	13	2	no	—
1736	C₂²	—	13	2	no	—
1737	C₂²	—	26	1	no	—
1738	C₂²	—	26	1	no	—
1739	C₂²	—	26	1	no	—
1740	C₂²	—	52	4	no	—
1741	C₂²	—	52	1	no	—
1742	C₂²	—	52	1	no	—
1743	C₂²	—	52	1	no	—
1744	C₂²	—	52	1	no	—
1745	C₂²	—	52	1	no	—
1746	C₂²	—	52	1	no	—
1747	C₂²	—	52	1	no	—
1748	C₂²	—	52	1	no	—
1749	C₂²	—	52	1	no	—
1750	C₂²	—	104	4	no	—
1751	C₂²	—	104	4	no	—
1752	C₂²	—	104	4	no	—
1753	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1754	C₄	—	2	1	no	—
1755	C₄	—	2	1	no	—
1756	C₄	—	2	1	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	4	1	no	—
1760	C₄	—	4	1	no	—
1761	C₄	—	4	1	no	—
1762	C₄	—	4	1	no	—
1763	C₄	—	4	1	no	—
1764	C₄	—	13	2	no	—
1765	C₄	—	26	1	no	—
1766	C₄	—	26	1	no	—
1767	C₄	—	26	1	no	—
1768	C₄	—	26	1	no	—
1769	C₄	—	26	1	no	—
1770	C₄	—	52	1	no	—
1771	C₄	—	52	1	no	—
1772	C₄	—	52	1	no	—
1773	C₄	—	52	1	no	—
1774	C₄	—	52	1	no	—
1775	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1776	C₄	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1777	C₂	—	4	1	no	—
1778	C₂	—	8	1	no	—
1779	C₂	—	8	1	no	—
1780	C₂	—	8	1	no	—
1781	C₂	—	13	4	no	—
1782	C₂	—	52	1	no	—
1783	C₂	—	104	1	no	—
1784	C₂	—	104	1	no	—
1785	C₂	—	104	1	no	—
1786	C₂	D₁₃×#537	1	1	yes	characteristic
1787	C₂	D₁₃×#576	1	1	yes	characteristic
1788	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×#3257	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3257	D₁₃
hypocenter	C₁₃	C₂×#3257
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3257

Complements

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

N	H ≅ G/N	type
1. D₁₃×#542	C₂	semidirect
2. D₁₃×#540	C₂	semidirect
3. #13126254	C₂	semidirect
4. #13126253	C₂	semidirect
5. #13126252	C₂	semidirect
6. #13126251	C₂	semidirect
7. #13126250	C₂	semidirect
8. #13126249	C₂	semidirect
9. #13126248	C₂	semidirect
10. #13126247	C₂	semidirect
11. #13126246	C₂	semidirect
12. #13126245	C₂	semidirect
13. #13126244	C₂	semidirect
14. #13126243	C₂	semidirect
15. #13126242	C₂	semidirect
16. #13126241	C₂	semidirect
17. #13126240	C₂	semidirect
18. D₁₃×#479	C₂	semidirect
19. D₁₃×#478	C₂	semidirect
20. D₁₃×#476	C₂	semidirect
21. D₁₃×#474	C₂	semidirect
22. D₁₃×#469	C₂	semidirect
23. D₁₃×#468	C₂	semidirect
24. D₁₃×#466	C₂	semidirect
25. D₁₃×#465	C₂	semidirect
26. D₁₃×#460	C₂	semidirect
27. D₁₃×#463	C₂	semidirect
28. D₁₃×#463	C₂	semidirect
29. D₁₃×#459	C₂	semidirect
30. D₁₃×#424	C₂	semidirect
31. C₁₃×#3257	C₂	semidirect
32. C₁₃×#542	C₂²	semidirect
33. C₁₃×#540	C₂²	semidirect
40. #11719438	C₂²	semidirect
42. #11719424	C₂²	semidirect
46. #11719403	C₂²	semidirect
48. #11719387	C₂²	semidirect
58. #11719348	C₂²	semidirect
62. #11719324	C₂²	semidirect
63. #11719324	C₂²	semidirect
71. #11719308	C₂²	semidirect
72. #11719287	C₂²	semidirect
74. #11719267	C₂²	semidirect
75. #11719267	C₂²	semidirect
76. #11719266	C₂²	semidirect
80. #11719240	C₂²	semidirect
81. #11719239	C₂²	semidirect
83. C₁₃×#479	C₂²	semidirect
84. C₁₃×#478	C₂²	semidirect
85. C₁₃×#476	C₂²	semidirect
86. C₁₃×#474	C₂²	semidirect
87. C₁₃×#469	C₂²	semidirect
88. C₁₃×#468	C₂²	semidirect
89. C₁₃×#466	C₂²	semidirect
90. C₁₃×#465	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#463	C₂²	semidirect
93. C₁₃×#460	C₂²	semidirect
94. C₁₃×#459	C₂²	semidirect
95. C₁₃×#424	C₂²	semidirect
96. #11718835	C₂²	semidirect
97. #11718832	C₂²	semidirect
98. #11718826	C₂²	semidirect
99. #11718826	C₂²	semidirect
100. #11718824	C₂²	semidirect
101. #11718824	C₂²	semidirect
102. #11718820	C₂²	semidirect
103. #11718818	C₂²	semidirect
104. #11718814	C₂²	semidirect
105. #11718814	C₂²	semidirect
106. #11718811	C₂²	semidirect
107. #11718811	C₂²	semidirect
108. #11718796	C₂²	semidirect
109. #11718795	C₂²	semidirect
110. #11718780	C₂²	semidirect
111. #11718776	C₂²	semidirect
112. #11718775	C₂²	semidirect
113. #11718763	C₂²	semidirect
114. #11718748	C₂²	semidirect
115. #11718745	C₂²	semidirect
116. #11718736	C₂²	semidirect
117. #11718733	C₂²	semidirect
118. #11718727	C₂²	semidirect
119. #11718724	C₂²	semidirect
120. #11718718	C₂²	semidirect
121. #11718718	C₂²	semidirect
122. #11718710	C₂²	semidirect
123. #11718709	C₂²	semidirect
124. #11718703	C₂²	semidirect
125. #11718702	C₂²	semidirect
126. #11718700	C₂²	semidirect
127. #11718700	C₂²	semidirect
128. #11718699	C₂²	semidirect
129. #11718699	C₂²	semidirect
130. #11718688	C₂²	semidirect
131. #11718683	C₂²	semidirect
132. #11718677	C₂²	semidirect
133. #11718677	C₂²	semidirect
134. #11718676	C₂²	semidirect
135. #11718670	C₂²	semidirect
136. #11718669	C₂²	semidirect
137. #11718668	C₂²	semidirect
138. #11718660	C₂²	semidirect
139. #11718552	C₂²	semidirect
140. #11718551	C₂²	semidirect
141. #11718551	C₂²	semidirect
142. #11718547	C₂²	semidirect
143. #11718544	C₂²	semidirect
146. #11718538	C₂²	semidirect
147. #11718532	C₂²	semidirect
148. #11718531	C₂²	semidirect
149. #11718531	C₂²	semidirect
150. #11718526	C₂²	semidirect
151. #11718525	C₂²	semidirect
154. #11718518	C₂²	semidirect
155. #11718509	C₂²	semidirect
156. #11718508	C₂²	semidirect
157. #11718507	C₂²	semidirect
158. #11718505	C₂²	semidirect
159. #11718505	C₂²	semidirect
160. #11718504	C₂²	semidirect
161. #11718503	C₂²	semidirect
162. #11718500	C₂²	semidirect
163. #11718500	C₂²	semidirect
164. #11718500	C₂²	semidirect
165. #11718500	C₂²	semidirect
170. #11718490	C₂²	semidirect
171. #11718480	C₂²	semidirect
172. #11718480	C₂²	semidirect
173. #11718473	C₂²	semidirect
174. #11718468	C₂²	semidirect
177. #11718460	C₂²	semidirect
178. #11718457	C₂²	semidirect
179. #11718448	C₂²	semidirect
180. #11718448	C₂²	semidirect
181. #11718447	C₂²	semidirect
182. #11718447	C₂²	semidirect
183. #11718443	C₂²	semidirect
184. #11718443	C₂²	semidirect
185. #11718441	C₂²	semidirect
186. #11718439	C₂²	semidirect
187. #11718436	C₂²	semidirect
188. #11718436	C₂²	semidirect
195. #11718427	C₂²	semidirect
196. #11718424	C₂²	semidirect
197. #11718423	C₂²	semidirect
198. #11718423	C₂²	semidirect
199. #11718422	C₂²	semidirect
200. #11718422	C₂²	semidirect
201. #11718420	C₂²	semidirect
202. #11718420	C₂²	semidirect
720. #3257	D₁₃	direct (N × H)
876. #542	C₂×D₁₃	semidirect
888. #540	C₂×D₁₃	semidirect
917. #479	C₂×D₁₃	semidirect
925. #478	C₂×D₁₃	semidirect
933. #476	C₂×D₁₃	semidirect
941. #474	C₂×D₁₃	semidirect
949. #469	C₂×D₁₃	semidirect
957. #468	C₂×D₁₃	semidirect
965. #466	C₂×D₁₃	semidirect
973. #465	C₂×D₁₃	semidirect
988. #463	C₂×D₁₃	semidirect
989. #463	C₂×D₁₃	semidirect
997. #460	C₂×D₁₃	semidirect
1005. #459	C₂×D₁₃	semidirect
1017. #424	C₂×D₁₃	semidirect
1377. D₁₃	#3257	direct (N × H)
1596. C₁₃	C₂×#3257	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#542	2
D₁₃×#540	2
#13126254	2
#13126253	2
#13126252	2
#13126251	2
#13126250	2
#13126249	2
#13126248	2
#13126247	2
#13126246	2
#13126245	2
#13126244	2
#13126243	2
#13126242	2
#13126241	2
#13126240	2
D₁₃×#479	2
D₁₃×#478	2
D₁₃×#476	2
D₁₃×#474	2
D₁₃×#469	2
D₁₃×#468	2
D₁₃×#466	2
D₁₃×#465	2
D₁₃×#460	2
D₁₃×#463	2
D₁₃×#459	2
D₁₃×#424	2
C₁₃×#3257	2
C₂×#3257	13

Subgroups — D13×#3257 #16735821

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3257 #16735821