Subgroups — #16739937

Order 3328.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128389	C₂	1	1	yes	maximal, characteristic
2	D₄×Q₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127128	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127126	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127114	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127112	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127009	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127007	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127006	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127004	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126894	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126892	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126881	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126707	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126705	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126699	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126697	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125215	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124783	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124779	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124639	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124465	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124463	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124320	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124071	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124071	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123652	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123569	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718463	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#419	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3312	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#552	C₂²	1	1	yes	characteristic
35	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
36	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
37	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
38	C₂×#88172	C₂²	1	1	yes	characteristic
39	C₂×#88172	C₂²	1	1	yes	characteristic
40	C₂×#88172	C₂²	1	1	yes	characteristic
41	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
42	C₂²×#6094	C₂²	1	1	yes	characteristic
43	#11719432	—	2	1	no	—
44	#11719432	C₂²	1	1	yes	characteristic
45	D₁₃×C₄⋊Q₈	—	2	1	no	—
46	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
47	#11719411	—	2	1	no	—
48	#11719410	—	2	1	no	—
49	#11719400	C₂²	1	1	yes	characteristic
50	#11719398	—	2	1	no	—
51	#11719396	—	2	1	no	—
52	#11719393	C₂²	1	1	yes	characteristic
53	#11719359	—	2	1	no	—
54	#11719354	—	2	1	no	—
55	#11719346	C₂²	1	1	yes	characteristic
56	#11719340	C₂²	1	1	yes	characteristic
57	#11719337	—	2	1	no	—
58	#11719337	—	2	1	no	—
59	#11719337	C₂²	1	1	yes	characteristic
60	#11719337	C₂²	1	1	yes	characteristic
61	#11719332	C₂²	1	1	yes	characteristic
62	#11719332	C₂²	1	1	yes	characteristic
63	D₁₃×C₂²⋊Q₈	—	2	1	no	—
64	D₁₃×C₂²⋊Q₈	—	2	1	no	—
65	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
66	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
67	#11719286	C₂²	1	1	yes	characteristic
68	Q₈×D₅₂	C₂²	1	1	yes	characteristic
69	C₄×#6131	C₂²	1	1	yes	characteristic
70	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic
71	#11719270	C₂²	1	1	yes	characteristic
72	C₄×D₄×D₁₃	—	2	1	no	—
73	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
74	D₄×Dic₂₆	—	2	1	no	—
75	D₄×Dic₂₆	C₂²	1	1	yes	characteristic
76	#11719237	C₂²	1	1	yes	characteristic
77	#11719232	—	2	1	no	—
78	#11719227	—	2	1	no	—
79	D₁₃×#117	C₂²	1	1	yes	characteristic
80	#11719212	C₂²	1	1	yes	characteristic
81	C₂×#88146	C₂²	1	1	yes	characteristic
82	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#435	C₂²	1	1	yes	characteristic
93	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
95	#11718888	C₂²	1	1	yes	characteristic, complemented
96	#11718888	C₂²	1	1	yes	characteristic, complemented
97	#11718886	C₂²	1	1	yes	characteristic, complemented
98	C₂×#88075	C₂²	1	1	yes	characteristic, complemented
99	#11718850	C₂²	1	1	yes	characteristic, complemented
100	#11718849	C₂²	1	1	yes	characteristic, complemented
101	#11718847	C₂²	1	1	yes	characteristic, complemented
102	#11718847	C₂²	1	1	yes	characteristic, complemented
103	#11718847	C₂²	1	1	yes	characteristic, complemented
104	#11718847	C₂²	1	1	yes	characteristic, complemented
105	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
106	#11718843	C₂²	1	1	yes	characteristic, complemented
107	#11718843	C₂²	1	1	yes	characteristic, complemented
108	#11718795	C₂²	1	1	yes	characteristic, complemented
109	#11718789	C₂²	1	1	yes	characteristic
110	#11718781	C₂²	1	1	yes	characteristic, complemented
111	#11718775	C₂²	1	1	yes	characteristic, complemented
112	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
113	C₂×#88056	C₂²	1	1	yes	characteristic, complemented
114	#11718744	C₂²	1	1	yes	characteristic, complemented
115	#11718743	C₂²	1	1	yes	characteristic, complemented
116	#11718730	C₂²	1	1	yes	characteristic, complemented
117	#11718724	C₂²	1	1	yes	characteristic, complemented
118	#11718713	C₂²	1	1	yes	characteristic, complemented
119	#11718712	C₂²	1	1	yes	characteristic, complemented
120	#11718711	C₂²	1	1	yes	characteristic, complemented
121	#11718711	C₂²	1	1	yes	characteristic, complemented
122	#11718710	C₂²	1	1	yes	characteristic, complemented
123	#11718709	C₂²	1	1	yes	characteristic, complemented
124	#11718706	C₂²	1	1	yes	characteristic, complemented
125	#11718705	C₂²	1	1	yes	characteristic, complemented
126	#11718692	C₂²	1	1	yes	characteristic, complemented
127	#11718691	C₂²	1	1	yes	characteristic, complemented
128	#11718687	C₂²	1	1	yes	characteristic, complemented
129	#11718683	C₂²	1	1	yes	characteristic, complemented
130	#11718672	C₂²	1	1	yes	characteristic
131	#11718665	C₂²	1	1	yes	characteristic, complemented
132	#11718657	C₂²	1	1	yes	characteristic, complemented
133	#11718632	C₂²	1	1	yes	characteristic, complemented
134	C₂×#88050	C₂²	1	1	yes	characteristic, complemented
135	#11718547	C₂²	1	1	yes	characteristic, complemented
136	#11718545	C₂²	1	1	yes	characteristic, complemented
137	#11718542	C₂²	1	1	yes	characteristic
138	#11718536	C₂²	1	1	yes	characteristic, complemented
139	#11718528	C₂²	1	1	yes	characteristic, complemented
140	#11718528	C₂²	1	1	yes	characteristic, complemented
141	#11718525	C₂²	1	1	yes	characteristic, complemented
142	#11718523	C₂²	1	1	yes	characteristic, complemented
143	#11718522	C₂²	1	1	yes	characteristic
144	#11718522	C₂²	1	1	yes	characteristic
145	#11718515	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718502	C₂²	1	1	yes	characteristic, complemented
148	#11718498	C₂²	1	1	yes	characteristic
149	#11718497	C₂²	1	1	yes	characteristic
150	#11718490	C₂²	1	1	yes	characteristic, complemented
151	#11718479	C₂²	1	1	yes	characteristic, complemented
152	#11718479	C₂²	1	1	yes	characteristic, complemented
153	#11718477	C₂²	1	1	yes	characteristic, complemented
154	#11718475	C₂²	1	1	yes	characteristic, complemented
155	#11718475	C₂²	1	1	yes	characteristic, complemented
156	#11718474	C₂²	1	1	yes	characteristic, complemented
157	#11718473	C₂²	1	1	yes	characteristic, complemented
158	#11718470	C₂²	1	1	yes	characteristic, complemented
159	#11718468	C₂²	1	1	yes	characteristic, complemented
160	#11718467	C₂²	1	1	yes	characteristic, complemented
161	#11718467	C₂²	1	1	yes	characteristic, complemented
162	#11718467	C₂²	1	1	yes	characteristic, complemented
163	#11718467	C₂²	1	1	yes	characteristic, complemented
164	#11718466	C₂²	1	1	yes	characteristic, complemented
165	#11718464	C₂²	1	1	yes	characteristic
166	#11718463	C₂²	1	1	yes	characteristic
167	#11718463	C₂²	1	1	yes	characteristic
168	#11718463	C₂²	1	1	yes	characteristic
169	#11718463	C₂²	1	1	yes	characteristic
170	#11718463	C₂²	1	1	yes	characteristic
171	#11718463	C₂²	1	1	yes	characteristic
172	#11718463	C₂²	1	1	yes	characteristic
173	#11718463	C₂²	1	1	yes	characteristic
174	#11718463	C₂²	1	1	yes	characteristic
175	#11718463	C₂²	1	1	yes	characteristic, complemented
176	#11718463	C₂²	1	1	yes	characteristic, complemented
177	#11718463	C₂²	1	1	yes	characteristic, complemented
178	#11718463	C₂²	1	1	yes	characteristic, complemented
179	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
180	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
181	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
182	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
183	#11718455	C₂²	1	1	yes	characteristic, complemented
184	#11718453	C₂²	1	1	yes	characteristic, complemented
185	#11718453	C₂²	1	1	yes	characteristic, complemented
186	#11718453	C₂²	1	1	yes	characteristic, complemented
187	#11718453	C₂²	1	1	yes	characteristic, complemented
188	#11718452	C₂²	1	1	yes	characteristic, complemented
189	#11718451	C₂²	1	1	yes	characteristic, complemented
190	#11718449	C₂²	1	1	yes	characteristic, complemented
191	#11718399	C₂²	1	1	yes	characteristic, complemented
192	#11718399	C₂²	1	1	yes	characteristic, complemented
193	#11718390	C₂²	1	1	yes	characteristic
194	#11718387	C₂²	1	1	yes	characteristic
195	#11718387	C₂²	1	1	yes	characteristic
196	#11718386	C₂²	1	1	yes	characteristic
197	#11718384	C₂²	1	1	yes	characteristic, complemented
198	#11718383	C₂²	1	1	yes	characteristic, complemented
199	#11718371	C₂²	1	1	yes	characteristic, complemented
200	#11718368	C₂²	1	1	yes	characteristic
201	#11718367	C₂²	1	1	yes	characteristic
202	#11718364	C₂²	1	1	yes	characteristic, complemented
203	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂×#6131	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₁₃	—	2	1	no	—
207	C₂×Q₈×D₁₃	—	2	1	no	—
208	C₂×Q₈×D₁₃	—	2	1	no	—
209	C₂×Q₈×D₁₃	—	2	1	no	—
210	C₂×Q₈×D₁₃	—	2	4	no	—
211	C₂×Q₈×D₁₃	—	2	4	no	—
212	C₂×Q₈×D₁₃	—	4	2	no	—
213	C₂×Q₈×D₁₃	—	4	2	no	—
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×Q₈×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
219	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
220	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
221	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
222	C₂×#6127	—	2	1	no	—
223	C₂²×C₄×D₁₃	—	2	1	no	—
224	C₂²×C₄×D₁₃	—	2	1	no	—
225	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
227	C₂²×Dic₂₆	—	2	1	no	—
228	C₂²×Dic₂₆	—	2	1	no	—
229	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
230	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
235	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
236	C₁₃×C₄⋊Q₈	—	2	1	no	—
237	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×#126	—	2	1	no	—
239	C₁₃×#125	—	2	1	no	—
240	C₁₃×#125	C₂³	1	1	yes	characteristic
241	C₁₃×#123	—	2	1	no	—
242	C₁₃×C₂²⋊Q₈	—	2	1	no	—
243	C₁₃×C₂²⋊Q₈	—	2	1	no	—
244	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
252	C₁₃×#117	—	2	1	no	—
253	C₁₃×#117	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	#88200	—	2	1	no	—
256	#88200	—	2	1	no	—
257	#88200	C₂³	1	1	yes	characteristic
258	#88200	C₂³	1	1	yes	characteristic
259	#88200	C₂³	1	1	yes	characteristic
260	#88200	C₂³	1	1	yes	characteristic
261	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
262	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
263	#88198	—	2	1	no	—
264	#88198	—	2	1	no	—
265	#88198	C₂³	1	1	yes	characteristic
266	#88198	C₂³	1	1	yes	characteristic
267	C₂×#6107	C₂³	1	1	yes	characteristic
268	C₂×#6107	C₂³	1	1	yes	characteristic
269	C₂×#6107	C₂³	1	1	yes	characteristic
270	C₂×#6106	C₂³	1	1	yes	characteristic
271	C₂×#6106	C₂³	1	1	yes	characteristic
272	C₂×#6106	C₂³	1	1	yes	characteristic
273	#88193	—	2	1	no	—
274	D₄×Dic₁₃	—	2	1	no	—
275	D₄×Dic₁₃	D₄	1	1	yes	characteristic
276	#88184	C₂³	1	1	yes	characteristic
277	#88184	C₂³	1	1	yes	characteristic
278	#88183	—	2	1	no	—
279	C₄×C₂²⋊D₁₃	—	2	1	no	—
280	C₄×C₂²⋊D₁₃	—	2	1	no	—
281	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
282	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
283	C₂×#6103	—	2	1	no	—
284	#88180	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
286	#88178	—	2	1	no	—
287	#88178	—	2	1	no	—
288	#88178	C₂³	1	1	yes	characteristic
289	#88178	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₃	—	2	1	no	—
291	C₂×#6099	C₂³	1	1	yes	characteristic
292	C₂²×#1055	C₂³	1	1	yes	characteristic
293	#88172	—	2	4	no	—
294	#88172	—	4	2	no	—
295	#88172	—	4	2	no	—
296	M₁₆×D₁₃	—	4	2	no	—
297	C₂×#6095	C₂³	1	1	yes	characteristic
298	C₂×#6095	C₂³	1	1	yes	characteristic
299	C₂×#6095	C₂³	1	1	yes	characteristic
300	C₂×#6094	—	4	2	no	—
301	C₂×#6094	C₂³	1	1	yes	characteristic
302	C₂×#6094	C₂³	1	1	yes	characteristic
303	C₂×#6094	C₂³	1	1	yes	characteristic
304	C₂×#6094	C₂³	1	1	yes	characteristic
305	C₂×#6094	C₂³	1	1	yes	characteristic
306	C₂×#6094	C₂³	1	1	yes	characteristic
307	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
308	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
309	#88152	—	2	1	no	—
310	#88152	—	2	1	no	—
311	#88152	—	2	1	no	—
312	#88151	—	2	1	no	—
313	#88151	—	2	1	no	—
314	#88151	—	2	1	no	—
315	#88151	C₂³	1	1	yes	characteristic
316	#88151	C₂³	1	1	yes	characteristic
317	#88150	—	2	1	no	—
318	#88150	—	2	1	no	—
319	#88150	—	2	1	no	—
320	#88150	—	2	1	no	—
321	#88150	—	2	1	no	—
322	#88150	—	2	1	no	—
323	#88150	—	2	1	no	—
324	#88150	—	2	1	no	—
325	#88150	—	2	1	no	—
326	#88149	—	2	1	no	—
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	#88147	—	2	1	no	—
335	#88147	—	2	1	no	—
336	#88147	—	2	1	no	—
337	#88147	—	2	1	no	—
338	#88147	—	2	1	no	—
339	#88147	D₄	1	1	yes	characteristic
340	#88147	C₂³	1	1	yes	characteristic
341	#88146	—	2	1	no	—
342	#88146	—	2	1	no	—
343	#88146	—	2	1	no	—
344	#88146	C₂³	1	1	yes	characteristic
345	#88146	C₂³	1	1	yes	characteristic
346	#88146	C₂³	1	1	yes	characteristic
347	#88146	C₂³	1	1	yes	characteristic
348	#88146	C₂³	1	1	yes	characteristic
349	C₄⋊C₄×D₁₃	—	2	1	no	—
350	C₄⋊C₄×D₁₃	—	2	1	no	—
351	C₄⋊C₄×D₁₃	—	2	1	no	—
352	C₄⋊C₄×D₁₃	—	2	1	no	—
353	C₄⋊C₄×D₁₃	—	2	1	no	—
354	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
355	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
356	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
357	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
358	#88143	—	2	1	no	—
359	#88143	—	2	1	no	—
360	#88142	—	2	1	no	—
361	#88142	—	2	1	no	—
362	#88142	—	2	1	no	—
363	#88142	—	2	1	no	—
364	#88142	—	2	1	no	—
365	#88142	—	2	1	no	—
366	#88142	C₂³	1	1	yes	characteristic
367	#88142	C₂³	1	1	yes	characteristic
368	#88141	—	2	1	no	—
369	#88141	—	2	1	no	—
370	#88141	—	2	1	no	—
371	#88141	—	2	1	no	—
372	#88141	C₂³	1	1	yes	characteristic
373	#88139	—	2	1	no	—
374	#88139	—	2	1	no	—
375	#88138	—	2	1	no	—
376	#88137	—	2	1	no	—
377	#88136	—	2	1	no	—
378	#88136	—	2	1	no	—
379	#88135	—	2	1	no	—
380	#88135	—	2	1	no	—
381	#88135	—	2	1	no	—
382	#88135	—	2	1	no	—
383	#88135	—	2	1	no	—
384	#88135	—	2	1	no	—
385	#88135	D₄	1	1	yes	characteristic
386	#88135	D₄	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
391	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
392	#88133	—	2	1	no	—
393	#88132	—	2	1	no	—
394	#88132	—	2	1	no	—
395	#88132	—	2	1	no	—
396	#88132	—	2	1	no	—
397	#88132	—	2	1	no	—
398	#88132	—	2	1	no	—
399	#88132	—	2	1	no	—
400	#88131	—	2	1	no	—
401	#88130	—	2	1	no	—
402	#88129	—	2	1	no	—
403	C₄×D₅₂	—	2	1	no	—
404	C₄×D₅₂	—	2	1	no	—
405	C₄×D₅₂	C₂³	1	1	yes	characteristic
406	C₄×D₅₂	C₂³	1	1	yes	characteristic
407	#88126	—	2	1	no	—
408	#88126	—	2	1	no	—
409	#88126	—	2	1	no	—
410	C₄²×D₁₃	—	2	1	no	—
411	C₄²×D₁₃	—	2	1	no	—
412	C₄²×D₁₃	—	2	1	no	—
413	C₄²×D₁₃	C₂³	1	1	yes	characteristic
414	#88124	C₂³	1	1	yes	characteristic
415	#88123	—	2	1	no	—
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×#103	C₂³	1	1	yes	characteristic
430	C₁₃×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×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	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88075	C₂³	1	1	yes	characteristic
445	#88075	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88060	C₂³	1	1	yes	characteristic
450	#88060	C₂³	1	1	yes	characteristic
451	#88060	C₂³	1	1	yes	characteristic
452	#88060	C₂³	1	1	yes	characteristic
453	#88058	C₂³	1	1	yes	characteristic
454	#88058	C₂³	1	1	yes	characteristic
455	#88057	C₂³	1	1	yes	characteristic
456	#88056	C₂³	1	1	yes	characteristic
457	#88056	C₂³	1	1	yes	characteristic
458	#88056	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	#88054	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
468	C₈×Dic₁₃	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	#88050	C₂³	1	1	yes	characteristic
476	#88050	C₂³	1	1	yes	characteristic
477	#88050	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	#88047	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	#61157	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
489	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
490	C₂×Q₈×C₁₃	—	2	1	no	—
491	C₂×Q₈×C₁₃	—	2	1	no	—
492	C₂×Q₈×C₁₃	—	2	2	no	—
493	C₂×Q₈×C₁₃	—	2	2	no	—
494	C₂×Q₈×C₁₃	—	4	1	no	—
495	C₂×Q₈×C₁₃	—	4	1	no	—
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
501	C₂²×C₄×C₁₃	—	2	1	no	—
502	C₂²×C₄×C₁₃	—	2	1	no	—
503	C₂²×C₄×C₁₃	—	2	1	no	—
504	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×C₂²⋊D₁₃	—	2	1	no	—
507	C₂×C₂²⋊D₁₃	—	2	1	no	—
508	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
509	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
510	C₂²×Dic₁₃	—	2	1	no	—
511	C₂²×Dic₁₃	—	2	1	no	—
512	C₂²×Dic₁₃	—	2	1	no	—
513	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
514	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
515	#6131	—	2	2	no	—
516	#6131	—	2	2	no	—
517	Q₈×D₁₃	—	2	2	no	—
518	Q₈×D₁₃	—	2	2	no	—
519	Q₈×D₁₃	—	2	2	no	—
520	Q₈×D₁₃	—	2	2	no	—
521	Q₈×D₁₃	—	2	2	no	—
522	Q₈×D₁₃	—	2	2	no	—
523	Q₈×D₁₃	—	2	2	no	—
524	Q₈×D₁₃	—	2	2	no	—
525	Q₈×D₁₃	—	2	2	no	—
526	Q₈×D₁₃	—	4	1	no	—
527	Q₈×D₁₃	—	4	1	no	—
528	Q₈×D₁₃	—	4	1	no	—
529	Q₈×D₁₃	—	4	1	no	—
530	Q₈×D₁₃	—	4	4	no	—
531	Q₈×D₁₃	—	4	4	no	—
532	Q₈×D₁₃	—	4	4	no	—
533	Q₈×D₁₃	—	4	4	no	—
534	Q₈×D₁₃	#41	1	4	yes	complemented
535	D₄×D₁₃	—	2	4	no	—
536	#6127	—	4	4	no	—
537	C₂×D₅₂	—	2	1	no	—
538	C₂×D₅₂	—	2	1	no	—
539	C₂×D₅₂	—	2	1	no	—
540	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
541	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
542	C₂×C₄×D₁₃	—	2	1	no	—
543	C₂×C₄×D₁₃	—	2	2	no	—
544	C₂×C₄×D₁₃	—	2	2	no	—
545	C₂×C₄×D₁₃	—	2	2	no	—
546	C₂×C₄×D₁₃	—	2	2	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	—	2	1	no	—
556	C₂×C₄×D₁₃	—	2	1	no	—
557	C₂×C₄×D₁₃	—	2	1	no	—
558	C₂×C₄×D₁₃	—	2	1	no	—
559	C₂×C₄×D₁₃	—	4	4	no	—
560	C₂×C₄×D₁₃	—	4	4	no	—
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	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
568	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
570	C₂×Dic₂₆	—	2	1	no	—
571	C₂×Dic₂₆	—	2	2	no	—
572	C₂×Dic₂₆	—	2	2	no	—
573	C₂×Dic₂₆	—	2	1	no	—
574	C₂×Dic₂₆	—	2	1	no	—
575	C₂×Dic₂₆	—	2	1	no	—
576	C₂×Dic₂₆	—	2	1	no	—
577	C₂×Dic₂₆	—	2	1	no	—
578	C₂×Dic₂₆	—	2	1	no	—
579	C₂×Dic₂₆	—	2	1	no	—
580	C₂×Dic₂₆	—	2	1	no	—
581	C₂×Dic₂₆	—	2	1	no	—
582	C₂×Dic₂₆	—	2	1	no	—
583	C₂×Dic₂₆	—	4	1	no	—
584	C₂×Dic₂₆	—	4	1	no	—
585	C₂×Dic₂₆	—	4	4	no	—
586	C₂×Dic₂₆	—	4	4	no	—
587	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
588	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
589	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
590	C₁₃×Q₁₆	—	2	2	no	—
591	C₁₃×Q₁₆	—	4	1	no	—
592	C₁₃×Q₁₆	—	4	1	no	—
593	C₁₃×M₁₆	—	4	1	no	—
594	C₂×C₈×C₁₃	—	4	1	no	—
595	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
596	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
597	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
598	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
599	C₁₃×C₄⋊C₄	—	2	1	no	—
600	C₁₃×C₄⋊C₄	—	2	1	no	—
601	C₁₃×C₄⋊C₄	—	2	1	no	—
602	C₁₃×C₄⋊C₄	—	2	1	no	—
603	C₁₃×C₄⋊C₄	—	2	1	no	—
604	C₁₃×C₄⋊C₄	—	2	1	no	—
605	C₁₃×C₄⋊C₄	—	2	1	no	—
606	C₁₃×C₄⋊C₄	—	2	1	no	—
607	C₁₃×C₄⋊C₄	—	2	1	no	—
608	C₁₃×C₄⋊C₄	—	2	1	no	—
609	C₁₃×C₄⋊C₄	—	2	1	no	—
610	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
613	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
614	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
615	C₁₃×C₂²⋊C₄	—	2	1	no	—
616	C₁₃×C₂²⋊C₄	—	2	1	no	—
617	C₁₃×C₂²⋊C₄	—	2	1	no	—
618	C₁₃×C₂²⋊C₄	—	2	1	no	—
619	C₁₃×C₂²⋊C₄	—	2	1	no	—
620	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₄²×C₁₃	—	2	1	no	—
623	C₄²×C₁₃	—	2	1	no	—
624	C₄²×C₁₃	—	2	1	no	—
625	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
626	C₂²⋊Dic₁₃	—	2	1	no	—
627	C₂²⋊Dic₁₃	—	2	1	no	—
628	C₂²⋊Dic₁₃	—	2	1	no	—
629	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
630	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
631	#6107	—	2	2	no	—
632	#6107	—	4	1	no	—
633	#6107	—	4	1	no	—
634	#6106	—	2	2	no	—
635	#6106	—	4	1	no	—
636	#6106	—	4	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	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	C₂×D₄	1	1	yes	characteristic
655	#6103	C₂×D₄	1	1	yes	characteristic
656	#6103	C₂×D₄	1	1	yes	characteristic
657	#6103	C₂×D₄	1	1	yes	characteristic
658	C₄⋊Dic₁₃	—	2	1	no	—
659	C₄⋊Dic₁₃	—	2	1	no	—
660	C₄⋊Dic₁₃	—	2	1	no	—
661	C₄⋊Dic₁₃	—	2	1	no	—
662	C₄⋊Dic₁₃	—	2	1	no	—
663	C₄⋊Dic₁₃	—	2	1	no	—
664	C₄⋊Dic₁₃	—	2	1	no	—
665	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
666	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	—	2	1	no	—
674	#6101	—	2	1	no	—
675	#6101	—	2	1	no	—
676	#6101	—	2	1	no	—
677	#6101	—	2	1	no	—
678	#6101	—	2	1	no	—
679	#6101	—	2	1	no	—
680	#6101	—	2	1	no	—
681	#6101	—	2	1	no	—
682	#6101	—	2	1	no	—
683	#6101	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
690	#6101	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₁₃	—	2	1	no	—
692	C₄×Dic₁₃	—	2	1	no	—
693	C₄×Dic₁₃	—	2	1	no	—
694	C₄×Dic₁₃	—	2	1	no	—
695	C₄×Dic₁₃	—	2	1	no	—
696	C₄×Dic₁₃	—	2	1	no	—
697	C₄×Dic₁₃	—	2	1	no	—
698	C₄×Dic₁₃	—	2	1	no	—
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
702	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
703	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
704	#6099	—	4	1	no	—
705	C₂×#1055	—	4	1	no	—
706	C₂×#1055	C₂⁴	1	1	yes	characteristic
707	C₂×#1055	C₂⁴	1	1	yes	characteristic
708	C₂×#1055	C₂⁴	1	1	yes	characteristic
709	C₂×#1055	C₂⁴	1	1	yes	characteristic
710	#6095	—	2	2	no	—
711	#6095	—	4	1	no	—
712	#6095	—	4	1	no	—
713	#6094	—	2	2	no	—
714	#6094	—	2	2	no	—
715	#6094	—	2	2	no	—
716	#6094	—	2	2	no	—
717	#6094	—	4	1	no	—
718	#6094	—	4	1	no	—
719	C₈×D₁₃	—	4	1	no	—
720	C₈×D₁₃	—	4	1	no	—
721	#3475	—	13	1	no	—
722	C₂×D₄×Q₈	—	13	1	no	—
723	#3329	—	13	1	no	—
724	#3329	—	13	1	no	—
725	#3328	—	13	1	no	—
726	#3328	—	13	1	no	—
727	#3320	—	13	1	no	—
728	#3320	—	13	1	no	—
729	#3320	—	13	1	no	—
730	#3320	—	13	1	no	—
731	#3312	—	13	1	no	—
732	#3312	—	13	1	no	—
733	#3312	—	13	1	no	—
734	#3312	D₁₃	1	1	yes	characteristic, complemented
735	#3299	—	13	1	no	—
736	#3299	—	13	1	no	—
737	#3298	—	13	1	no	—
738	#3298	—	13	1	no	—
739	#3139	—	13	1	no	—
740	#3095	—	13	1	no	—
741	#3095	—	13	1	no	—
742	#3078	—	13	1	no	—
743	#3056	—	13	1	no	—
744	#3056	—	13	1	no	—
745	#3039	—	13	1	no	—
746	#3004	—	13	1	no	—
747	#3004	—	13	1	no	—
748	C₄×#137	—	13	1	no	—
749	D₄×M₁₆	—	13	1	no	—
750	C₂×#419	—	13	1	no	—
751	C₂×#419	—	13	1	no	—
752	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
753	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
754	C₂²×D₁₃	—	2	2	no	—
755	C₂²×D₁₃	—	2	2	no	—
756	C₂²×D₁₃	—	2	2	no	—
757	C₂²×D₁₃	—	2	2	no	—
758	C₂²×D₁₃	—	2	1	no	—
759	C₂²×D₁₃	—	4	1	no	—
760	C₂²×D₁₃	—	4	1	no	—
761	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
762	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
763	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
764	Q₈×C₁₃	—	2	1	no	—
765	Q₈×C₁₃	—	2	1	no	—
766	Q₈×C₁₃	—	2	1	no	—
767	Q₈×C₁₃	—	2	1	no	—
768	Q₈×C₁₃	—	2	1	no	—
769	Q₈×C₁₃	—	2	1	no	—
770	Q₈×C₁₃	—	2	1	no	—
771	Q₈×C₁₃	—	4	2	no	—
772	Q₈×C₁₃	—	4	2	no	—
773	Q₈×C₁₃	C₂×#41	1	2	yes	—
774	D₄×C₁₃	—	2	2	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	2	1	no	—
777	C₂×C₄×C₁₃	—	2	1	no	—
778	C₂×C₄×C₁₃	—	2	1	no	—
779	C₂×C₄×C₁₃	—	2	1	no	—
780	C₂×C₄×C₁₃	—	2	1	no	—
781	C₂×C₄×C₁₃	—	2	1	no	—
782	C₂×C₄×C₁₃	—	2	1	no	—
783	C₂×C₄×C₁₃	—	2	1	no	—
784	C₂×C₄×C₁₃	—	2	1	no	—
785	C₂×C₄×C₁₃	—	2	1	no	—
786	C₂×C₄×C₁₃	—	2	1	no	—
787	C₂×C₄×C₁₃	—	4	2	no	—
788	C₂×C₄×C₁₃	—	4	2	no	—
789	C₂×C₄×C₁₃	—	4	2	no	—
790	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
795	C₂²⋊D₁₃	—	2	2	no	—
796	C₂²⋊D₁₃	—	4	2	no	—
797	C₂²⋊D₁₃	—	8	1	no	—
798	C₂²⋊D₁₃	#137	1	4	yes	complemented
799	C₂×Dic₁₃	—	2	1	no	—
800	C₂×Dic₁₃	—	2	2	no	—
801	C₂×Dic₁₃	—	2	2	no	—
802	C₂×Dic₁₃	—	2	1	no	—
803	C₂×Dic₁₃	—	2	1	no	—
804	C₂×Dic₁₃	—	2	1	no	—
805	C₂×Dic₁₃	—	2	1	no	—
806	C₂×Dic₁₃	—	2	1	no	—
807	C₂×Dic₁₃	—	2	1	no	—
808	C₂×Dic₁₃	—	4	2	no	—
809	C₂×Dic₁₃	—	4	2	no	—
810	C₂×Dic₁₃	—	8	1	no	—
811	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
813	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
816	D₅₂	—	2	2	no	—
817	D₅₂	—	2	1	no	—
818	D₅₂	—	2	1	no	—
819	D₅₂	—	4	2	no	—
820	D₅₂	—	4	2	no	—
821	D₅₂	—	8	1	no	—
822	C₄×D₁₃	—	2	2	no	—
823	C₄×D₁₃	—	2	2	no	—
824	C₄×D₁₃	—	2	4	no	—
825	C₄×D₁₃	—	2	1	no	—
826	C₄×D₁₃	—	2	1	no	—
827	C₄×D₁₃	—	2	1	no	—
828	C₄×D₁₃	—	2	1	no	—
829	C₄×D₁₃	—	2	2	no	—
830	C₄×D₁₃	—	2	2	no	—
831	C₄×D₁₃	—	2	2	no	—
832	C₄×D₁₃	—	4	1	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	—	4	2	no	—
838	C₄×D₁₃	—	4	2	no	—
839	C₄×D₁₃	—	4	2	no	—
840	C₄×D₁₃	—	4	2	no	—
841	C₄×D₁₃	—	4	2	no	—
842	C₄×D₁₃	—	4	2	no	—
843	C₄×D₁₃	—	8	1	no	—
844	C₄×D₁₃	—	8	1	no	—
845	C₄×D₁₃	C₂×#41	1	2	yes	—
846	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
847	Dic₂₆	—	2	1	no	—
848	Dic₂₆	—	2	4	no	—
849	Dic₂₆	—	2	1	no	—
850	Dic₂₆	—	2	1	no	—
851	Dic₂₆	—	2	1	no	—
852	Dic₂₆	—	2	1	no	—
853	Dic₂₆	—	4	2	no	—
854	Dic₂₆	—	4	2	no	—
855	Dic₂₆	—	4	2	no	—
856	Dic₂₆	—	4	2	no	—
857	Dic₂₆	—	4	2	no	—
858	Dic₂₆	—	4	2	no	—
859	Dic₂₆	—	4	2	no	—
860	Dic₂₆	—	4	2	no	—
861	Dic₂₆	—	4	2	no	—
862	Dic₂₆	—	8	1	no	—
863	Dic₂₆	C₂×#41	1	2	yes	—
864	C₈×C₁₃	—	2	1	no	—
865	C₈×C₁₃	—	2	1	no	—
866	C₈×C₁₃	—	2	1	no	—
867	C₈×C₁₃	—	2	1	no	—
868	#1055	—	2	1	no	—
869	#1055	—	2	1	no	—
870	#1055	—	2	1	no	—
871	#1055	—	2	1	no	—
872	C₂³×Q₈	—	13	1	no	—
873	C₂³×Q₈	—	13	1	no	—
874	C₂×#137	—	13	1	no	—
875	C₂×#137	—	13	1	no	—
876	C₂×#137	—	13	1	no	—
877	C₂²×M₁₆	—	13	1	no	—
878	C₂²×M₁₆	—	13	1	no	—
879	#556	—	13	1	no	—
880	#555	—	13	1	no	—
881	#554	—	13	1	no	—
882	#553	—	13	1	no	—
883	#553	—	13	1	no	—
884	#552	—	13	1	no	—
885	#552	—	26	1	no	—
886	#552	C₂×D₁₃	1	1	yes	characteristic
887	#551	—	26	1	no	—
888	#551	—	26	1	no	—
889	D₄×Q₈	—	13	1	no	—
890	D₄×Q₈	—	13	1	no	—
891	D₄×Q₈	—	13	1	no	—
892	D₄×Q₈	—	13	1	no	—
893	D₄×Q₈	—	13	1	no	—
894	D₄×Q₈	—	13	1	no	—
895	D₄×Q₈	—	13	1	no	—
896	D₄×Q₈	—	26	1	no	—
897	D₄×Q₈	—	26	1	no	—
898	D₄×Q₈	—	26	1	no	—
899	D₄×Q₈	—	26	1	no	—
900	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic
901	#547	—	13	1	no	—
902	#546	—	26	1	no	—
903	#533	—	13	1	no	—
904	C₂×C₄⋊Q₈	—	13	1	no	—
905	C₂×C₄⋊Q₈	—	26	1	no	—
906	#529	—	26	1	no	—
907	#529	—	26	1	no	—
908	#529	—	26	1	no	—
909	#525	—	13	1	no	—
910	#525	—	13	1	no	—
911	C₂×C₂²⋊Q₈	—	13	1	no	—
912	C₂×C₂²⋊Q₈	—	13	1	no	—
913	C₂×C₂²⋊Q₈	—	26	1	no	—
914	C₂×C₂²⋊Q₈	—	26	1	no	—
915	C₄×#41	—	13	1	no	—
916	C₄×#41	—	26	1	no	—
917	C₂×C₄×Q₈	—	13	1	no	—
918	C₂×C₄×D₄	—	13	1	no	—
919	C₂×C₄×D₄	—	26	1	no	—
920	C₂×#117	—	13	1	no	—
921	C₂×#117	—	13	1	no	—
922	#491	—	13	1	no	—
923	#491	—	13	1	no	—
924	#491	—	13	1	no	—
925	#491	C₂×D₁₃	1	1	yes	characteristic, complemented
926	#487	—	13	1	no	—
927	#487	—	13	1	no	—
928	#487	—	13	1	no	—
929	#487	—	13	1	no	—
930	#485	—	13	1	no	—
931	#485	—	13	1	no	—
932	#485	—	13	1	no	—
933	#485	—	13	1	no	—
934	#485	—	13	1	no	—
935	#485	—	13	1	no	—
936	#485	—	13	1	no	—
937	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
938	#484	—	13	1	no	—
939	#484	—	13	1	no	—
940	#484	—	13	1	no	—
941	#484	—	13	1	no	—
942	#483	—	13	1	no	—
943	#483	—	13	1	no	—
944	#483	—	13	1	no	—
945	#483	C₂×D₁₃	1	1	yes	characteristic, complemented
946	#479	—	13	1	no	—
947	#479	—	13	1	no	—
948	#479	—	13	1	no	—
949	#479	C₂×D₁₃	1	1	yes	characteristic, complemented
950	#477	—	13	1	no	—
951	#477	—	13	1	no	—
952	#475	—	13	1	no	—
953	#475	—	13	1	no	—
954	#470	—	13	1	no	—
955	#470	—	13	1	no	—
956	#470	—	13	1	no	—
957	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
958	#468	—	13	1	no	—
959	#468	—	13	1	no	—
960	#468	—	13	1	no	—
961	#468	—	13	1	no	—
962	#467	—	13	1	no	—
963	#467	—	13	1	no	—
964	#467	—	13	1	no	—
965	#467	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	#462	—	13	1	no	—
971	#462	—	13	1	no	—
972	#462	—	13	1	no	—
973	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
974	#461	—	13	1	no	—
975	#461	—	13	1	no	—
976	#461	—	13	1	no	—
977	#461	—	13	1	no	—
978	#451	—	13	1	no	—
979	#451	—	13	1	no	—
980	#451	—	13	1	no	—
981	#451	—	13	1	no	—
982	#451	—	13	1	no	—
983	#451	—	13	1	no	—
984	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
985	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
986	#448	—	13	1	no	—
987	#448	—	13	1	no	—
988	#448	—	13	1	no	—
989	#448	—	13	1	no	—
990	#448	—	13	1	no	—
991	#448	—	13	1	no	—
992	#448	—	13	1	no	—
993	#448	—	13	1	no	—
994	#441	—	13	1	no	—
995	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
996	#440	—	13	1	no	—
997	#440	—	13	1	no	—
998	C₄×Q₁₆	—	13	1	no	—
999	C₄×Q₁₆	—	13	1	no	—
1000	C₄×SD₁₆	—	13	1	no	—
1001	C₄×SD₁₆	—	13	1	no	—
1002	#436	—	13	1	no	—
1003	#436	—	13	1	no	—
1004	#435	—	13	1	no	—
1005	#435	—	13	1	no	—
1006	#435	—	13	1	no	—
1007	#435	C₂×D₁₃	1	1	yes	characteristic
1008	C₈×D₄	—	13	1	no	—
1009	C₈×D₄	—	13	1	no	—
1010	#428	—	13	1	no	—
1011	#428	—	13	1	no	—
1012	#428	—	13	1	no	—
1013	#423	—	13	1	no	—
1014	#419	—	13	1	no	—
1015	#419	—	13	1	no	—
1016	#419	—	13	1	no	—
1017	#419	—	13	1	no	—
1018	#419	—	13	1	no	—
1019	#419	—	13	1	no	—
1020	#419	—	13	1	no	—
1021	#419	—	13	1	no	—
1022	#419	—	13	1	no	—
1023	#419	—	13	1	no	—
1024	#419	—	13	1	no	—
1025	#419	—	13	1	no	—
1026	#419	—	13	1	no	—
1027	#419	—	13	1	no	—
1028	#419	—	13	1	no	—
1029	#419	—	13	1	no	—
1030	#419	C₂×D₁₃	1	1	yes	characteristic, complemented
1031	#417	—	13	1	no	—
1032	C₂×#103	—	13	1	no	—
1033	C₂×#103	—	13	1	no	—
1034	C₂×#103	—	13	1	no	—
1035	C₂×#103	—	13	1	no	—
1036	C₂×#103	—	13	1	no	—
1037	C₂×#103	—	13	1	no	—
1038	C₂×#103	—	13	1	no	—
1039	C₂×#103	C₂×D₁₃	1	1	yes	characteristic, complemented
1040	#407	—	13	1	no	—
1041	#407	—	13	1	no	—
1042	C₄×M₁₆	—	13	1	no	—
1043	C₂²×C₁₃	—	2	1	no	—
1044	C₂²×C₁₃	—	2	1	no	—
1045	C₂²×C₁₃	—	2	1	no	—
1046	C₂²×C₁₃	—	2	1	no	—
1047	C₂²×C₁₃	—	2	1	no	—
1048	C₂²×C₁₃	C₂×#137	1	2	yes	—
1049	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1050	C₂×D₁₃	—	2	1	no	—
1051	C₂×D₁₃	—	2	1	no	—
1052	C₂×D₁₃	—	2	1	no	—
1053	C₂×D₁₃	—	2	1	no	—
1054	C₂×D₁₃	—	2	1	no	—
1055	C₂×D₁₃	—	2	1	no	—
1056	C₂×D₁₃	—	2	1	no	—
1057	C₂×D₁₃	—	4	4	no	—
1058	C₂×D₁₃	—	4	4	no	—
1059	C₂×D₁₃	—	4	1	no	—
1060	C₂×D₁₃	—	4	1	no	—
1061	C₂×D₁₃	—	4	1	no	—
1062	C₂×D₁₃	#546	1	2	yes	—
1063	C₂×D₁₃	C₂×#137	1	2	yes	—
1064	C₄×C₁₃	—	2	1	no	—
1065	C₄×C₁₃	—	2	2	no	—
1066	C₄×C₁₃	—	2	1	no	—
1067	C₄×C₁₃	—	2	1	no	—
1068	C₄×C₁₃	—	2	1	no	—
1069	C₄×C₁₃	—	4	1	no	—
1070	C₄×C₁₃	—	4	1	no	—
1071	C₄×C₁₃	—	4	1	no	—
1072	C₄×C₁₃	—	4	1	no	—
1073	C₄×C₁₃	—	4	1	no	—
1074	C₄×C₁₃	—	4	1	no	—
1075	C₄×C₁₃	—	4	1	no	—
1076	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1077	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1078	Dic₁₃	—	2	1	no	—
1079	Dic₁₃	—	2	2	no	—
1080	Dic₁₃	—	2	1	no	—
1081	Dic₁₃	—	2	1	no	—
1082	Dic₁₃	—	4	1	no	—
1083	Dic₁₃	—	4	1	no	—
1084	Dic₁₃	—	4	1	no	—
1085	Dic₁₃	—	4	1	no	—
1086	Dic₁₃	—	4	1	no	—
1087	Dic₁₃	—	4	1	no	—
1088	Dic₁₃	#546	1	2	yes	—
1089	Dic₁₃	C₂×#137	1	2	yes	—
1090	C₂×#41	—	13	1	no	—
1091	C₂×#41	—	26	1	no	—
1092	C₂²×Q₈	—	13	1	no	—
1093	C₂²×Q₈	—	13	1	no	—
1094	C₂²×Q₈	—	13	1	no	—
1095	C₂²×Q₈	—	13	1	no	—
1096	C₂²×Q₈	—	13	1	no	—
1097	C₂²×Q₈	—	13	1	no	—
1098	C₂²×Q₈	—	13	1	no	—
1099	C₂²×Q₈	—	13	1	no	—
1100	C₂²×Q₈	—	13	1	no	—
1101	C₂²×Q₈	—	26	1	no	—
1102	C₂²×Q₈	—	26	1	no	—
1103	C₂²×Q₈	—	26	1	no	—
1104	C₂²×Q₈	—	26	1	no	—
1105	C₂²×Q₈	—	26	1	no	—
1106	C₂²×Q₈	—	26	1	no	—
1107	C₂²×Q₈	—	26	4	no	—
1108	C₂²×Q₈	—	26	4	no	—
1109	C₂²×Q₈	—	52	2	no	—
1110	C₂²×Q₈	—	52	2	no	—
1111	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1112	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1113	C₂²×D₄	—	13	1	no	—
1114	C₂³×C₄	—	13	1	no	—
1115	C₂³×C₄	—	13	1	no	—
1116	C₂³×C₄	—	26	1	no	—
1117	C₂³×C₄	—	26	1	no	—
1118	#137	—	26	4	no	—
1119	#137	—	52	2	no	—
1120	#137	—	52	2	no	—
1121	C₂×Q₁₆	—	13	1	no	—
1122	C₂×Q₁₆	—	13	1	no	—
1123	C₂×Q₁₆	—	13	1	no	—
1124	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1125	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1126	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1127	C₂×SD₁₆	—	13	1	no	—
1128	C₂×SD₁₆	—	13	1	no	—
1129	C₂×SD₁₆	—	13	1	no	—
1130	C₂×SD₁₆	—	13	1	no	—
1131	C₂×SD₁₆	—	13	1	no	—
1132	C₂×SD₁₆	—	13	1	no	—
1133	C₂×M₁₆	—	13	1	no	—
1134	C₂×M₁₆	—	13	1	no	—
1135	C₂×M₁₆	—	13	1	no	—
1136	C₂×M₁₆	—	13	1	no	—
1137	C₂×M₁₆	—	13	1	no	—
1138	C₂×M₁₆	—	13	1	no	—
1139	C₂×M₁₆	—	13	1	no	—
1140	C₂×M₁₆	—	52	2	no	—
1141	C₂×M₁₆	—	52	2	no	—
1142	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1143	C₂²×C₈	—	13	1	no	—
1144	C₂²×C₈	—	13	1	no	—
1145	C₂²×C₈	—	13	1	no	—
1146	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1147	C₄⋊Q₈	—	2	1	no	—
1148	C₄⋊Q₈	—	13	1	no	—
1149	C₄⋊Q₈	—	13	1	no	—
1150	C₄⋊Q₈	—	13	1	no	—
1151	C₄⋊Q₈	—	13	1	no	—
1152	C₄⋊Q₈	—	13	1	no	—
1153	C₄⋊Q₈	—	26	1	no	—
1154	C₄⋊Q₈	—	26	1	no	—
1155	C₄⋊Q₈	—	26	1	no	—
1156	C₄⋊Q₈	—	26	1	no	—
1157	C₄⋊Q₈	—	26	1	no	—
1158	C₄⋊Q₈	—	26	1	no	—
1159	C₄⋊Q₈	—	26	1	no	—
1160	C₄⋊Q₈	—	26	1	no	—
1161	C₄⋊Q₈	—	26	1	no	—
1162	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1163	#126	—	2	1	no	—
1164	#126	—	26	1	no	—
1165	#126	—	26	1	no	—
1166	#126	—	26	1	no	—
1167	#126	—	26	1	no	—
1168	#126	—	26	1	no	—
1169	#125	—	2	1	no	—
1170	#125	—	13	1	no	—
1171	#125	—	26	1	no	—
1172	#125	—	26	1	no	—
1173	#125	C₂²×D₁₃	1	1	yes	characteristic
1174	#124	—	26	1	no	—
1175	#124	—	26	1	no	—
1176	#124	—	26	1	no	—
1177	#123	—	2	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	C₂²⋊Q₈	—	2	1	no	—
1186	C₂²⋊Q₈	—	2	1	no	—
1187	C₂²⋊Q₈	—	13	1	no	—
1188	C₂²⋊Q₈	—	13	1	no	—
1189	C₂²⋊Q₈	—	13	1	no	—
1190	C₂²⋊Q₈	—	13	1	no	—
1191	C₂²⋊Q₈	—	13	1	no	—
1192	C₂²⋊Q₈	—	13	1	no	—
1193	C₂²⋊Q₈	—	13	1	no	—
1194	C₂²⋊Q₈	—	13	1	no	—
1195	C₂²⋊Q₈	—	26	1	no	—
1196	C₂²⋊Q₈	—	26	1	no	—
1197	C₂²⋊Q₈	—	26	1	no	—
1198	C₂²⋊Q₈	—	26	1	no	—
1199	C₂²⋊Q₈	—	26	1	no	—
1200	C₂²⋊Q₈	—	26	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	—	26	1	no	—
1211	C₂²⋊Q₈	—	26	1	no	—
1212	C₂²⋊Q₈	—	26	1	no	—
1213	C₂²⋊Q₈	—	26	1	no	—
1214	C₂²⋊Q₈	—	26	1	no	—
1215	C₂²⋊Q₈	—	26	1	no	—
1216	C₂²⋊Q₈	—	26	1	no	—
1217	C₂²⋊Q₈	—	26	1	no	—
1218	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1219	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1220	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1221	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1222	#121	—	13	1	no	—
1223	#121	—	13	1	no	—
1224	#121	—	13	1	no	—
1225	#121	—	13	1	no	—
1226	#121	—	26	1	no	—
1227	#121	—	26	1	no	—
1228	#121	—	26	1	no	—
1229	#120	—	26	1	no	—
1230	#120	—	26	1	no	—
1231	C₄×Q₈	—	13	1	no	—
1232	C₄×Q₈	—	13	1	no	—
1233	C₄×Q₈	—	13	1	no	—
1234	C₄×Q₈	—	13	1	no	—
1235	C₄×Q₈	—	26	1	no	—
1236	C₄×Q₈	—	26	1	no	—
1237	C₄×Q₈	—	26	1	no	—
1238	C₄×Q₈	—	26	1	no	—
1239	C₄×Q₈	—	26	1	no	—
1240	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1241	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1242	C₄×D₄	—	2	1	no	—
1243	C₄×D₄	—	13	1	no	—
1244	C₄×D₄	—	13	1	no	—
1245	C₄×D₄	—	13	1	no	—
1246	C₄×D₄	—	13	1	no	—
1247	C₄×D₄	—	13	1	no	—
1248	C₄×D₄	—	13	1	no	—
1249	C₄×D₄	—	13	1	no	—
1250	C₄×D₄	—	13	1	no	—
1251	C₄×D₄	—	13	1	no	—
1252	C₄×D₄	—	26	1	no	—
1253	C₄×D₄	—	26	1	no	—
1254	C₄×D₄	—	26	1	no	—
1255	C₄×D₄	—	26	1	no	—
1256	C₄×D₄	—	26	1	no	—
1257	C₄×D₄	—	26	1	no	—
1258	C₄×D₄	—	26	1	no	—
1259	C₄×D₄	—	26	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	—	26	1	no	—
1267	C₄×D₄	—	26	1	no	—
1268	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1269	#117	—	2	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	—	26	1	no	—
1277	#117	—	26	1	no	—
1278	#117	—	26	1	no	—
1279	#117	—	26	1	no	—
1280	#117	—	26	1	no	—
1281	#117	—	26	1	no	—
1282	#117	—	26	1	no	—
1283	#117	C₂²×D₁₃	1	1	yes	characteristic
1284	C₂×C₄⋊C₄	—	13	1	no	—
1285	C₂×C₄⋊C₄	—	13	1	no	—
1286	C₂×C₄⋊C₄	—	13	1	no	—
1287	C₂×C₄⋊C₄	—	13	1	no	—
1288	C₂×C₄⋊C₄	—	13	1	no	—
1289	C₂×C₄⋊C₄	—	26	1	no	—
1290	C₂×C₄⋊C₄	—	26	1	no	—
1291	C₂×C₄⋊C₄	—	26	1	no	—
1292	C₂×C₄⋊C₄	—	26	1	no	—
1293	C₂×C₄⋊C₄	—	26	1	no	—
1294	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1295	C₂×C₂²⋊C₄	—	13	1	no	—
1296	C₂×C₂²⋊C₄	—	13	1	no	—
1297	C₂×C₂²⋊C₄	—	26	1	no	—
1298	C₂×C₂²⋊C₄	—	26	1	no	—
1299	C₂×C₂²⋊C₄	—	26	1	no	—
1300	C₂×C₂²⋊C₄	—	26	1	no	—
1301	C₂×C₄²	—	13	1	no	—
1302	C₂×C₄²	—	26	1	no	—
1303	C₂×C₄²	—	26	1	no	—
1304	C₂×C₄²	—	26	1	no	—
1305	C₂×C₄²	—	26	1	no	—
1306	#107	—	13	1	no	—
1307	#107	—	13	1	no	—
1308	#107	—	13	1	no	—
1309	#107	—	13	1	no	—
1310	#107	—	13	1	no	—
1311	#107	C₂²×D₁₃	1	1	yes	characteristic
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	C₂²×D₁₃	1	1	yes	characteristic
1322	#103	—	13	1	no	—
1323	#103	—	13	1	no	—
1324	#103	—	13	1	no	—
1325	#103	—	13	1	no	—
1326	#103	—	13	1	no	—
1327	#103	—	13	1	no	—
1328	#103	—	13	1	no	—
1329	#103	—	13	1	no	—
1330	#103	—	13	1	no	—
1331	#103	—	13	1	no	—
1332	#103	—	13	1	no	—
1333	#103	—	13	1	no	—
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	—	13	1	no	—
1341	#103	—	13	1	no	—
1342	#103	—	13	1	no	—
1343	#103	—	13	1	no	—
1344	#103	—	13	1	no	—
1345	#103	—	13	1	no	—
1346	#103	—	13	1	no	—
1347	#103	—	13	1	no	—
1348	#103	—	13	1	no	—
1349	#103	—	13	1	no	—
1350	#103	C₂²×D₁₃	1	1	yes	characteristic
1351	#103	C₂²×D₁₃	1	1	yes	characteristic
1352	#103	C₂²×D₁₃	1	1	yes	characteristic
1353	#103	C₂²×D₁₃	1	1	yes	characteristic
1354	#103	C₂²×D₁₃	1	1	yes	characteristic
1355	#103	C₂²×D₁₃	1	1	yes	characteristic
1356	#103	C₂²×D₁₃	1	1	yes	characteristic
1357	#103	C₂²×D₁₃	1	1	yes	characteristic
1358	#103	C₂²×D₁₃	1	1	yes	characteristic
1359	#103	C₂²×D₁₃	1	1	yes	characteristic
1360	#102	—	13	1	no	—
1361	#102	—	13	1	no	—
1362	C₂²⋊C₈	—	13	1	no	—
1363	C₂²⋊C₈	—	13	1	no	—
1364	C₂²⋊C₈	—	13	1	no	—
1365	C₂²⋊C₈	—	13	1	no	—
1366	C₂²⋊C₈	—	13	1	no	—
1367	C₂²⋊C₈	—	13	1	no	—
1368	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1369	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1370	#97	—	13	1	no	—
1371	#97	C₂²×D₁₃	1	1	yes	characteristic
1372	C₄×C₈	—	13	1	no	—
1373	C₄×C₈	—	13	1	no	—
1374	C₂×C₁₃	—	2	2	no	—
1375	C₂×C₁₃	—	4	1	no	—
1376	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1377	C₂×C₁₃	C₂²×#137	1	1	yes	characteristic
1378	C₂×C₁₃	#3586	1	1	yes	characteristic
1379	D₁₃	—	2	2	no	—
1380	D₁₃	—	2	2	no	—
1381	D₁₃	—	4	1	no	—
1382	D₁₃	—	8	1	no	—
1383	C₂⁴	—	13	1	no	—
1384	C₂⁴	—	13	1	no	—
1385	#41	—	26	2	no	—
1386	#41	—	26	2	no	—
1387	#41	—	52	4	no	—
1388	C₂×Q₈	—	2	1	no	—
1389	C₂×Q₈	—	2	1	no	—
1390	C₂×Q₈	—	2	2	no	—
1391	C₂×Q₈	—	2	2	no	—
1392	C₂×Q₈	—	4	1	no	—
1393	C₂×Q₈	—	4	1	no	—
1394	C₂×Q₈	—	13	4	no	—
1395	C₂×Q₈	—	13	1	no	—
1396	C₂×Q₈	—	13	1	no	—
1397	C₂×Q₈	—	13	1	no	—
1398	C₂×Q₈	—	26	1	no	—
1399	C₂×Q₈	—	26	1	no	—
1400	C₂×Q₈	—	26	1	no	—
1401	C₂×Q₈	—	26	1	no	—
1402	C₂×Q₈	—	26	1	no	—
1403	C₂×Q₈	—	26	1	no	—
1404	C₂×Q₈	—	26	1	no	—
1405	C₂×Q₈	—	26	1	no	—
1406	C₂×Q₈	—	26	1	no	—
1407	C₂×Q₈	—	26	2	no	—
1408	C₂×Q₈	—	26	2	no	—
1409	C₂×Q₈	—	26	2	no	—
1410	C₂×Q₈	—	26	2	no	—
1411	C₂×Q₈	—	26	2	no	—
1412	C₂×Q₈	—	26	2	no	—
1413	C₂×Q₈	—	26	2	no	—
1414	C₂×Q₈	—	26	1	no	—
1415	C₂×Q₈	—	26	1	no	—
1416	C₂×Q₈	—	26	2	no	—
1417	C₂×Q₈	—	26	2	no	—
1418	C₂×Q₈	—	26	2	no	—
1419	C₂×Q₈	—	26	2	no	—
1420	C₂×Q₈	—	52	1	no	—
1421	C₂×Q₈	—	52	1	no	—
1422	C₂×Q₈	—	52	4	no	—
1423	C₂×Q₈	—	52	4	no	—
1424	C₂×Q₈	—	52	4	no	—
1425	C₂×Q₈	—	52	4	no	—
1426	C₂×Q₈	—	52	1	no	—
1427	C₂×Q₈	—	52	1	no	—
1428	C₂×Q₈	—	52	1	no	—
1429	C₂×Q₈	—	52	1	no	—
1430	C₂×Q₈	—	52	4	no	—
1431	C₂×Q₈	—	52	4	no	—
1432	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1433	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1434	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1435	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1436	C₂×D₄	—	13	1	no	—
1437	C₂×D₄	—	13	1	no	—
1438	C₂×D₄	—	13	1	no	—
1439	C₂×D₄	—	13	1	no	—
1440	C₂×D₄	—	26	1	no	—
1441	C₂×D₄	—	26	1	no	—
1442	C₂×D₄	—	26	1	no	—
1443	C₂×D₄	—	26	4	no	—
1444	C₂×D₄	—	26	1	no	—
1445	C₂×D₄	—	26	1	no	—
1446	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1447	C₂²×C₄	—	2	1	no	—
1448	C₂²×C₄	—	2	1	no	—
1449	C₂²×C₄	—	2	1	no	—
1450	C₂²×C₄	—	13	1	no	—
1451	C₂²×C₄	—	13	1	no	—
1452	C₂²×C₄	—	13	1	no	—
1453	C₂²×C₄	—	13	1	no	—
1454	C₂²×C₄	—	13	1	no	—
1455	C₂²×C₄	—	13	1	no	—
1456	C₂²×C₄	—	13	1	no	—
1457	C₂²×C₄	—	13	1	no	—
1458	C₂²×C₄	—	13	1	no	—
1459	C₂²×C₄	—	13	1	no	—
1460	C₂²×C₄	—	13	1	no	—
1461	C₂²×C₄	—	26	2	no	—
1462	C₂²×C₄	—	26	2	no	—
1463	C₂²×C₄	—	26	2	no	—
1464	C₂²×C₄	—	26	2	no	—
1465	C₂²×C₄	—	26	1	no	—
1466	C₂²×C₄	—	26	1	no	—
1467	C₂²×C₄	—	26	1	no	—
1468	C₂²×C₄	—	26	1	no	—
1469	C₂²×C₄	—	26	1	no	—
1470	C₂²×C₄	—	26	1	no	—
1471	C₂²×C₄	—	26	1	no	—
1472	C₂²×C₄	—	26	1	no	—
1473	C₂²×C₄	—	26	1	no	—
1474	C₂²×C₄	—	26	1	no	—
1475	C₂²×C₄	—	26	1	no	—
1476	C₂²×C₄	—	26	1	no	—
1477	C₂²×C₄	—	26	1	no	—
1478	C₂²×C₄	—	26	1	no	—
1479	C₂²×C₄	—	26	1	no	—
1480	C₂²×C₄	—	26	1	no	—
1481	C₂²×C₄	—	52	4	no	—
1482	C₂²×C₄	—	52	4	no	—
1483	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1484	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1485	Q₁₆	—	2	2	no	—
1486	Q₁₆	—	4	1	no	—
1487	Q₁₆	—	4	1	no	—
1488	Q₁₆	—	26	2	no	—
1489	Q₁₆	—	52	1	no	—
1490	Q₁₆	—	52	1	no	—
1491	SD₁₆	—	26	2	no	—
1492	SD₁₆	—	26	2	no	—
1493	SD₁₆	—	52	1	no	—
1494	SD₁₆	—	52	1	no	—
1495	SD₁₆	—	52	1	no	—
1496	SD₁₆	—	52	1	no	—
1497	M₁₆	—	4	1	no	—
1498	M₁₆	—	26	2	no	—
1499	M₁₆	—	26	2	no	—
1500	M₁₆	—	26	2	no	—
1501	M₁₆	—	26	2	no	—
1502	M₁₆	—	52	1	no	—
1503	M₁₆	—	52	1	no	—
1504	M₁₆	—	52	1	no	—
1505	C₂×C₈	—	4	1	no	—
1506	C₂×C₈	—	13	1	no	—
1507	C₂×C₈	—	13	1	no	—
1508	C₂×C₈	—	13	1	no	—
1509	C₂×C₈	—	13	1	no	—
1510	C₂×C₈	—	52	1	no	—
1511	C₂×C₈	—	52	1	no	—
1512	C₂×C₈	—	52	1	no	—
1513	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1514	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1515	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1516	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	2	1	no	—
1520	C₄⋊C₄	—	2	1	no	—
1521	C₄⋊C₄	—	2	1	no	—
1522	C₄⋊C₄	—	2	1	no	—
1523	C₄⋊C₄	—	2	1	no	—
1524	C₄⋊C₄	—	2	1	no	—
1525	C₄⋊C₄	—	2	1	no	—
1526	C₄⋊C₄	—	2	1	no	—
1527	C₄⋊C₄	—	2	1	no	—
1528	C₄⋊C₄	—	13	1	no	—
1529	C₄⋊C₄	—	13	1	no	—
1530	C₄⋊C₄	—	13	1	no	—
1531	C₄⋊C₄	—	13	1	no	—
1532	C₄⋊C₄	—	13	1	no	—
1533	C₄⋊C₄	—	13	1	no	—
1534	C₄⋊C₄	—	13	1	no	—
1535	C₄⋊C₄	—	26	1	no	—
1536	C₄⋊C₄	—	26	1	no	—
1537	C₄⋊C₄	—	26	1	no	—
1538	C₄⋊C₄	—	26	1	no	—
1539	C₄⋊C₄	—	26	1	no	—
1540	C₄⋊C₄	—	26	1	no	—
1541	C₄⋊C₄	—	26	1	no	—
1542	C₄⋊C₄	—	26	1	no	—
1543	C₄⋊C₄	—	26	1	no	—
1544	C₄⋊C₄	—	26	1	no	—
1545	C₄⋊C₄	—	26	1	no	—
1546	C₄⋊C₄	—	26	1	no	—
1547	C₄⋊C₄	—	26	1	no	—
1548	C₄⋊C₄	—	26	1	no	—
1549	C₄⋊C₄	—	26	1	no	—
1550	C₄⋊C₄	—	26	1	no	—
1551	C₄⋊C₄	—	26	1	no	—
1552	C₄⋊C₄	—	26	1	no	—
1553	C₄⋊C₄	—	26	1	no	—
1554	C₄⋊C₄	—	26	1	no	—
1555	C₄⋊C₄	—	26	1	no	—
1556	C₄⋊C₄	—	26	1	no	—
1557	C₄⋊C₄	—	26	1	no	—
1558	C₄⋊C₄	—	26	1	no	—
1559	C₄⋊C₄	—	26	1	no	—
1560	C₄⋊C₄	—	26	1	no	—
1561	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1562	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1563	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1564	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1565	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	13	1	no	—
1572	C₂²⋊C₄	—	13	1	no	—
1573	C₂²⋊C₄	—	13	1	no	—
1574	C₂²⋊C₄	—	13	1	no	—
1575	C₂²⋊C₄	—	13	1	no	—
1576	C₂²⋊C₄	—	13	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	—	26	1	no	—
1583	C₂²⋊C₄	—	26	1	no	—
1584	C₂²⋊C₄	—	26	1	no	—
1585	C₂²⋊C₄	—	26	1	no	—
1586	C₂²⋊C₄	—	26	1	no	—
1587	C₂²⋊C₄	—	26	1	no	—
1588	C₂²⋊C₄	—	26	1	no	—
1589	C₂²⋊C₄	—	26	1	no	—
1590	C₂²⋊C₄	—	26	1	no	—
1591	C₂²⋊C₄	—	26	1	no	—
1592	C₂²⋊C₄	—	26	1	no	—
1593	C₂²⋊C₄	—	26	1	no	—
1594	C₂²⋊C₄	—	26	1	no	—
1595	C₂²⋊C₄	—	26	1	no	—
1596	C₂²⋊C₄	—	26	1	no	—
1597	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1598	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1599	C₄²	—	2	1	no	—
1600	C₄²	—	2	1	no	—
1601	C₄²	—	2	1	no	—
1602	C₄²	—	13	1	no	—
1603	C₄²	—	13	1	no	—
1604	C₄²	—	13	1	no	—
1605	C₄²	—	26	1	no	—
1606	C₄²	—	26	1	no	—
1607	C₄²	—	26	1	no	—
1608	C₄²	—	26	1	no	—
1609	C₄²	—	26	1	no	—
1610	C₄²	—	26	1	no	—
1611	C₄²	—	26	1	no	—
1612	C₄²	—	26	1	no	—
1613	C₄²	—	26	1	no	—
1614	C₄²	—	26	1	no	—
1615	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1616	C₁₃	#61157	1	1	yes	characteristic, complemented, Sylow
1617	C₂³	—	13	1	no	—
1618	C₂³	—	13	1	no	—
1619	C₂³	—	13	1	no	—
1620	C₂³	—	26	2	no	—
1621	C₂³	—	26	2	no	—
1622	C₂³	—	26	2	no	—
1623	C₂³	—	26	2	no	—
1624	C₂³	—	26	1	no	—
1625	C₂³	—	52	1	no	—
1626	C₂³	—	52	1	no	—
1627	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1628	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1629	Q₈	—	2	1	no	—
1630	Q₈	—	2	1	no	—
1631	Q₈	—	2	1	no	—
1632	Q₈	—	2	1	no	—
1633	Q₈	—	2	1	no	—
1634	Q₈	—	2	1	no	—
1635	Q₈	—	2	1	no	—
1636	Q₈	—	4	2	no	—
1637	Q₈	—	4	2	no	—
1638	Q₈	—	13	2	no	—
1639	Q₈	—	26	4	no	—
1640	Q₈	—	26	1	no	—
1641	Q₈	—	26	1	no	—
1642	Q₈	—	26	1	no	—
1643	Q₈	—	26	1	no	—
1644	Q₈	—	26	1	no	—
1645	Q₈	—	52	2	no	—
1646	Q₈	—	52	2	no	—
1647	Q₈	—	52	2	no	—
1648	Q₈	—	52	2	no	—
1649	Q₈	—	52	2	no	—
1650	Q₈	—	52	2	no	—
1651	Q₈	—	52	2	no	—
1652	Q₈	—	52	2	no	—
1653	Q₈	—	52	2	no	—
1654	Q₈	—	104	1	no	—
1655	Q₈	#41×D₁₃	1	2	yes	—
1656	D₄	—	2	2	no	—
1657	D₄	—	13	4	no	—
1658	D₄	—	26	2	no	—
1659	D₄	—	26	2	no	—
1660	D₄	—	26	1	no	—
1661	D₄	—	26	1	no	—
1662	D₄	—	52	2	no	—
1663	D₄	—	52	2	no	—
1664	D₄	—	52	2	no	—
1665	D₄	—	104	1	no	—
1666	D₄	—	104	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	2	1	no	—
1677	C₂×C₄	—	2	1	no	—
1678	C₂×C₄	—	2	1	no	—
1679	C₂×C₄	—	4	2	no	—
1680	C₂×C₄	—	4	2	no	—
1681	C₂×C₄	—	4	2	no	—
1682	C₂×C₄	—	13	1	no	—
1683	C₂×C₄	—	13	1	no	—
1684	C₂×C₄	—	13	2	no	—
1685	C₂×C₄	—	13	2	no	—
1686	C₂×C₄	—	13	1	no	—
1687	C₂×C₄	—	13	1	no	—
1688	C₂×C₄	—	13	1	no	—
1689	C₂×C₄	—	26	2	no	—
1690	C₂×C₄	—	26	2	no	—
1691	C₂×C₄	—	26	2	no	—
1692	C₂×C₄	—	26	2	no	—
1693	C₂×C₄	—	26	2	no	—
1694	C₂×C₄	—	26	4	no	—
1695	C₂×C₄	—	26	2	no	—
1696	C₂×C₄	—	26	2	no	—
1697	C₂×C₄	—	26	1	no	—
1698	C₂×C₄	—	26	1	no	—
1699	C₂×C₄	—	26	1	no	—
1700	C₂×C₄	—	26	1	no	—
1701	C₂×C₄	—	26	1	no	—
1702	C₂×C₄	—	26	1	no	—
1703	C₂×C₄	—	26	1	no	—
1704	C₂×C₄	—	26	1	no	—
1705	C₂×C₄	—	26	1	no	—
1706	C₂×C₄	—	26	1	no	—
1707	C₂×C₄	—	26	1	no	—
1708	C₂×C₄	—	52	1	no	—
1709	C₂×C₄	—	52	2	no	—
1710	C₂×C₄	—	52	2	no	—
1711	C₂×C₄	—	52	2	no	—
1712	C₂×C₄	—	52	2	no	—
1713	C₂×C₄	—	52	2	no	—
1714	C₂×C₄	—	52	2	no	—
1715	C₂×C₄	—	52	2	no	—
1716	C₂×C₄	—	52	2	no	—
1717	C₂×C₄	—	52	2	no	—
1718	C₂×C₄	—	52	2	no	—
1719	C₂×C₄	—	52	2	no	—
1720	C₂×C₄	—	52	2	no	—
1721	C₂×C₄	—	104	1	no	—
1722	C₂×C₄	—	104	1	no	—
1723	C₂×C₄	—	104	1	no	—
1724	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1725	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1726	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1727	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1728	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1729	C₈	—	2	1	no	—
1730	C₈	—	2	1	no	—
1731	C₈	—	2	1	no	—
1732	C₈	—	2	1	no	—
1733	C₈	—	26	1	no	—
1734	C₈	—	26	1	no	—
1735	C₈	—	26	1	no	—
1736	C₈	—	26	1	no	—
1737	C₂²	—	2	1	no	—
1738	C₂²	—	2	1	no	—
1739	C₂²	—	2	1	no	—
1740	C₂²	—	2	1	no	—
1741	C₂²	—	2	1	no	—
1742	C₂²	—	13	2	no	—
1743	C₂²	—	13	2	no	—
1744	C₂²	—	26	1	no	—
1745	C₂²	—	26	1	no	—
1746	C₂²	—	26	1	no	—
1747	C₂²	—	26	1	no	—
1748	C₂²	—	26	1	no	—
1749	C₂²	—	26	1	no	—
1750	C₂²	—	26	1	no	—
1751	C₂²	—	52	4	no	—
1752	C₂²	—	52	4	no	—
1753	C₂²	—	52	1	no	—
1754	C₂²	—	52	1	no	—
1755	C₂²	—	52	1	no	—
1756	C₂²	D₁₃×#137	1	2	yes	—
1757	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1758	C₄	—	2	1	no	—
1759	C₄	—	2	1	no	—
1760	C₄	—	2	2	no	—
1761	C₄	—	2	1	no	—
1762	C₄	—	2	1	no	—
1763	C₄	—	4	1	no	—
1764	C₄	—	4	1	no	—
1765	C₄	—	4	1	no	—
1766	C₄	—	4	1	no	—
1767	C₄	—	4	1	no	—
1768	C₄	—	4	1	no	—
1769	C₄	—	4	1	no	—
1770	C₄	—	13	2	no	—
1771	C₄	—	13	2	no	—
1772	C₄	—	26	1	no	—
1773	C₄	—	26	1	no	—
1774	C₄	—	26	2	no	—
1775	C₄	—	26	1	no	—
1776	C₄	—	52	1	no	—
1777	C₄	—	52	1	no	—
1778	C₄	—	52	1	no	—
1779	C₄	—	52	1	no	—
1780	C₄	—	52	1	no	—
1781	C₄	—	52	1	no	—
1782	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1783	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1784	C₂	—	2	2	no	—
1785	C₂	—	4	1	no	—
1786	C₂	—	26	2	no	—
1787	C₂	—	26	2	no	—
1788	C₂	—	52	1	no	—
1789	C₂	—	104	1	no	—
1790	C₂	D₁₃×#546	1	1	yes	characteristic
1791	C₂	C₂×D₁₃×#137	1	1	yes	characteristic
1792	C₂	#13129621	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×#3312	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128389	C₂
hypercenter	#3312	D₁₃
hypocenter	C₁₃	#61157
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3312

Complements

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

N	H ≅ G/N	type
2. D₄×Q₈×D₁₃	C₂	semidirect
3. #13127128	C₂	semidirect
4. #13127126	C₂	semidirect
5. #13127114	C₂	semidirect
6. #13127112	C₂	semidirect
7. #13127009	C₂	semidirect
8. #13127007	C₂	semidirect
9. #13127006	C₂	semidirect
10. #13127004	C₂	semidirect
11. #13126894	C₂	semidirect
12. #13126892	C₂	semidirect
13. #13126881	C₂	semidirect
14. #13126707	C₂	semidirect
15. #13126705	C₂	semidirect
16. #13126699	C₂	semidirect
17. #13126697	C₂	semidirect
18. #13125215	C₂	semidirect
19. #13124783	C₂	semidirect
20. #13124779	C₂	semidirect
21. #13124639	C₂	semidirect
22. #13124465	C₂	semidirect
23. #13124463	C₂	semidirect
24. #13124320	C₂	semidirect
25. #13124071	C₂	semidirect
26. #13124071	C₂	semidirect
27. #13123652	C₂	semidirect
28. #13123569	C₂	semidirect
29. C₂×#11718463	C₂	semidirect
30. D₁₃×#419	C₂	semidirect
31. C₁₃×#3312	C₂	semidirect
82. C₁₃×#491	C₂²	semidirect
83. C₁₃×#485	C₂²	semidirect
84. C₁₃×#483	C₂²	semidirect
85. C₁₃×#479	C₂²	semidirect
86. C₁₃×#470	C₂²	semidirect
87. C₁₃×#467	C₂²	semidirect
88. C₁₃×#462	C₂²	semidirect
89. C₁₃×#451	C₂²	semidirect
90. C₁₃×#451	C₂²	semidirect
91. C₁₃×#441	C₂²	semidirect
93. C₁₃×#419	C₂²	semidirect
94. C₂×C₁₃×#103	C₂²	semidirect
95. #11718888	C₂²	semidirect
96. #11718888	C₂²	semidirect
97. #11718886	C₂²	semidirect
98. C₂×#88075	C₂²	semidirect
99. #11718850	C₂²	semidirect
100. #11718849	C₂²	semidirect
101. #11718847	C₂²	semidirect
102. #11718847	C₂²	semidirect
103. #11718847	C₂²	semidirect
104. #11718847	C₂²	semidirect
105. Q₁₆×Dic₁₃	C₂²	semidirect
106. #11718843	C₂²	semidirect
107. #11718843	C₂²	semidirect
108. #11718795	C₂²	semidirect
110. #11718781	C₂²	semidirect
111. #11718775	C₂²	semidirect
113. C₂×#88056	C₂²	semidirect
114. #11718744	C₂²	semidirect
115. #11718743	C₂²	semidirect
116. #11718730	C₂²	semidirect
117. #11718724	C₂²	semidirect
118. #11718713	C₂²	semidirect
119. #11718712	C₂²	semidirect
120. #11718711	C₂²	semidirect
121. #11718711	C₂²	semidirect
122. #11718710	C₂²	semidirect
123. #11718709	C₂²	semidirect
124. #11718706	C₂²	semidirect
125. #11718705	C₂²	semidirect
126. #11718692	C₂²	semidirect
127. #11718691	C₂²	semidirect
128. #11718687	C₂²	semidirect
129. #11718683	C₂²	semidirect
131. #11718665	C₂²	semidirect
132. #11718657	C₂²	semidirect
133. #11718632	C₂²	semidirect
134. C₂×#88050	C₂²	semidirect
135. #11718547	C₂²	semidirect
136. #11718545	C₂²	semidirect
138. #11718536	C₂²	semidirect
139. #11718528	C₂²	semidirect
140. #11718528	C₂²	semidirect
141. #11718525	C₂²	semidirect
142. #11718523	C₂²	semidirect
145. #11718515	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718502	C₂²	semidirect
150. #11718490	C₂²	semidirect
151. #11718479	C₂²	semidirect
152. #11718479	C₂²	semidirect
153. #11718477	C₂²	semidirect
154. #11718475	C₂²	semidirect
155. #11718475	C₂²	semidirect
156. #11718474	C₂²	semidirect
157. #11718473	C₂²	semidirect
158. #11718470	C₂²	semidirect
159. #11718468	C₂²	semidirect
160. #11718467	C₂²	semidirect
161. #11718467	C₂²	semidirect
162. #11718467	C₂²	semidirect
163. #11718467	C₂²	semidirect
164. #11718466	C₂²	semidirect
175. #11718463	C₂²	semidirect
176. #11718463	C₂²	semidirect
177. #11718463	C₂²	semidirect
178. #11718463	C₂²	semidirect
179. D₁₃×#103	C₂²	semidirect
180. D₁₃×#103	C₂²	semidirect
181. D₁₃×#103	C₂²	semidirect
182. D₁₃×#103	C₂²	semidirect
183. #11718455	C₂²	semidirect
184. #11718453	C₂²	semidirect
185. #11718453	C₂²	semidirect
186. #11718453	C₂²	semidirect
187. #11718453	C₂²	semidirect
188. #11718452	C₂²	semidirect
189. #11718451	C₂²	semidirect
190. #11718449	C₂²	semidirect
191. #11718399	C₂²	semidirect
192. #11718399	C₂²	semidirect
197. #11718384	C₂²	semidirect
198. #11718383	C₂²	semidirect
199. #11718371	C₂²	semidirect
202. #11718364	C₂²	semidirect
534. Q₈×D₁₃	#41	semidirect
734. #3312	D₁₃	semidirect
798. C₂²⋊D₁₃	#137	semidirect
925. #491	C₂×D₁₃	semidirect
937. #485	C₂×D₁₃	semidirect
945. #483	C₂×D₁₃	semidirect
949. #479	C₂×D₁₃	semidirect
957. #470	C₂×D₁₃	semidirect
965. #467	C₂×D₁₃	semidirect
973. #462	C₂×D₁₃	semidirect
984. #451	C₂×D₁₃	semidirect
985. #451	C₂×D₁₃	semidirect
995. #441	C₂×D₁₃	semidirect
1030. #419	C₂×D₁₃	semidirect
1039. C₂×#103	C₂×D₁₃	semidirect
1616. C₁₃	#61157	semidirect

Maximal subgroups

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

subgroup	index
#13128389	2
D₄×Q₈×D₁₃	2
#13127128	2
#13127126	2
#13127114	2
#13127112	2
#13127009	2
#13127007	2
#13127006	2
#13127004	2
#13126894	2
#13126892	2
#13126881	2
#13126707	2
#13126705	2
#13126699	2
#13126697	2
#13125215	2
#13124783	2
#13124779	2
#13124639	2
#13124465	2
#13124463	2
#13124320	2
#13124071	2
#13123652	2
#13123569	2
C₂×#11718463	2
D₁₃×#419	2
C₁₃×#3312	2
#61157	13