Subgroups — #16749041

Order 3328.

2146 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129067	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128482	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127012	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127011	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127009	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127002	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126745	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126744	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126738	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126731	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126530	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×#6105	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126527	C₂	1	1	yes	maximal, characteristic, complemented
14	SD₁₆×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126335	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126330	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126325	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125894	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125892	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125705	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125704	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125598	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125596	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125126	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125125	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124121	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124119	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11718831	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#448	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123887	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3265	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88257	C₂²	1	1	yes	characteristic, complemented
33	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
37	D₄²×C₁₃	C₂²	1	1	yes	characteristic
38	#11719536	C₂²	1	1	yes	characteristic, complemented
39	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
40	#11719510	C₂²	1	1	yes	characteristic
41	#11719509	—	2	1	no	—
42	D₄×C₂²⋊D₁₃	—	2	1	no	—
43	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
44	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
45	C₂×#88192	C₂²	1	1	yes	characteristic
46	C₂²×#6105	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#6105	C₂²	1	1	yes	characteristic, complemented
48	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
49	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
50	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
51	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
52	#11719424	C₂²	1	1	yes	characteristic
53	#11719422	C₂²	1	1	yes	characteristic
54	#11719382	—	2	1	no	—
55	#11719382	C₂²	1	1	yes	characteristic, complemented
56	#11719380	—	2	1	no	—
57	#11719380	C₂²	1	1	yes	characteristic, complemented
58	#11719337	—	2	1	no	—
59	#11719337	C₂²	1	1	yes	characteristic, complemented
60	#11719333	—	2	1	no	—
61	#11719333	C₂²	1	1	yes	characteristic, complemented
62	#11719325	—	2	1	no	—
63	#11719323	C₂²	1	1	yes	characteristic
64	#11719319	C₂²	1	1	yes	characteristic
65	#11719318	—	2	1	no	—
66	#11719312	C₂²	1	1	yes	characteristic
67	#11719311	—	2	1	no	—
68	#11719311	C₂²	1	1	yes	characteristic, complemented
69	D₁₃×#121	C₂²	1	1	yes	characteristic
70	#11719303	—	2	1	no	—
71	#11719303	C₂²	1	1	yes	characteristic, complemented
72	#11719300	—	2	1	no	—
73	#11719298	—	2	1	no	—
74	#11719295	—	2	1	no	—
75	#11719294	—	2	1	no	—
76	Q₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
77	#11719277	C₂²	1	1	yes	characteristic, complemented
78	#11719270	C₂²	1	1	yes	characteristic
79	#11719267	C₂²	1	1	yes	characteristic
80	#11719263	C₂²	1	1	yes	characteristic
81	#11719252	—	2	1	no	—
82	#11719252	C₂²	1	1	yes	characteristic
83	D₄×Dic₂₆	—	2	1	no	—
84	D₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
96	#11718899	C₂²	1	1	yes	characteristic, complemented
97	#11718894	C₂²	1	1	yes	characteristic, complemented
98	#11718888	C₂²	1	1	yes	characteristic, complemented
99	C₂×#88075	C₂²	1	1	yes	characteristic, complemented
100	#11718879	C₂²	1	1	yes	characteristic, complemented
101	#11718879	C₂²	1	1	yes	characteristic, complemented
102	#11718836	C₂²	1	1	yes	characteristic, complemented
103	#11718835	C₂²	1	1	yes	characteristic, complemented
104	#11718832	C₂²	1	1	yes	characteristic, complemented
105	#11718831	C₂²	1	1	yes	characteristic, complemented
106	#11718831	C₂²	1	1	yes	characteristic, complemented
107	#11718831	C₂²	1	1	yes	characteristic, complemented
108	#11718831	C₂²	1	1	yes	characteristic, complemented
109	#11718831	C₂²	1	1	yes	characteristic, complemented
110	#11718831	C₂²	1	1	yes	characteristic, complemented
111	#11718831	C₂²	1	1	yes	characteristic, complemented
112	#11718831	C₂²	1	1	yes	characteristic, complemented
113	#11718831	C₂²	1	1	yes	characteristic, complemented
114	#11718831	C₂²	1	1	yes	characteristic, complemented
115	#11718831	C₂²	1	1	yes	characteristic, complemented
116	#11718831	C₂²	1	1	yes	characteristic, complemented
117	#11718830	C₂²	1	1	yes	characteristic, complemented
118	#11718825	C₂²	1	1	yes	characteristic, complemented
119	#11718824	C₂²	1	1	yes	characteristic, complemented
120	#11718823	C₂²	1	1	yes	characteristic, complemented
121	#11718823	C₂²	1	1	yes	characteristic, complemented
122	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
123	#11718819	C₂²	1	1	yes	characteristic, complemented
124	#11718819	C₂²	1	1	yes	characteristic, complemented
125	#11718819	C₂²	1	1	yes	characteristic, complemented
126	#11718819	C₂²	1	1	yes	characteristic, complemented
127	#11718819	C₂²	1	1	yes	characteristic, complemented
128	#11718818	C₂²	1	1	yes	characteristic, complemented
129	#11718818	C₂²	1	1	yes	characteristic, complemented
130	#11718817	C₂²	1	1	yes	characteristic, complemented
131	#11718815	C₂²	1	1	yes	characteristic, complemented
132	#11718814	C₂²	1	1	yes	characteristic, complemented
133	#11718814	C₂²	1	1	yes	characteristic, complemented
134	#11718795	C₂²	1	1	yes	characteristic, complemented
135	#11718790	C₂²	1	1	yes	characteristic, complemented
136	#11718788	C₂²	1	1	yes	characteristic, complemented
137	#11718781	C₂²	1	1	yes	characteristic, complemented
138	#11718775	C₂²	1	1	yes	characteristic, complemented
139	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
140	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
141	C₂×#88056	C₂²	1	1	yes	characteristic, complemented
142	#11718737	C₂²	1	1	yes	characteristic, complemented
143	#11718736	C₂²	1	1	yes	characteristic, complemented
144	#11718718	C₂²	1	1	yes	characteristic, complemented
145	#11718717	C₂²	1	1	yes	characteristic, complemented
146	#11718709	C₂²	1	1	yes	characteristic, complemented
147	#11718706	C₂²	1	1	yes	characteristic, complemented
148	#11718702	C₂²	1	1	yes	characteristic, complemented
149	#11718702	C₂²	1	1	yes	characteristic, complemented
150	#11718701	C₂²	1	1	yes	characteristic, complemented
151	#11718701	C₂²	1	1	yes	characteristic, complemented
152	#11718699	C₂²	1	1	yes	characteristic, complemented
153	#11718695	C₂²	1	1	yes	characteristic, complemented
154	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
155	#11718683	C₂²	1	1	yes	characteristic, complemented
156	#11718680	C₂²	1	1	yes	characteristic, complemented
157	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
158	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
159	#11718549	C₂²	1	1	yes	characteristic, complemented
160	#11718546	C₂²	1	1	yes	characteristic, complemented
161	#11718545	C₂²	1	1	yes	characteristic, complemented
162	#11718538	C₂²	1	1	yes	characteristic, complemented
163	#11718502	C₂²	1	1	yes	characteristic, complemented
164	#11718501	C₂²	1	1	yes	characteristic, complemented
165	#11718495	C₂²	1	1	yes	characteristic, complemented
166	#11718490	C₂²	1	1	yes	characteristic, complemented
167	#11718475	C₂²	1	1	yes	characteristic, complemented
168	#11718467	C₂²	1	1	yes	characteristic, complemented
169	#11718467	C₂²	1	1	yes	characteristic, complemented
170	#11718463	C₂²	1	1	yes	characteristic, complemented
171	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
172	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
173	#11718458	C₂²	1	1	yes	characteristic, complemented
174	#11718457	C₂²	1	1	yes	characteristic, complemented
175	#11718445	C₂²	1	1	yes	characteristic, complemented
176	#11718445	C₂²	1	1	yes	characteristic, complemented
177	#11718442	C₂²	1	1	yes	characteristic, complemented
178	#11718441	C₂²	1	1	yes	characteristic, complemented
179	#11718440	C₂²	1	1	yes	characteristic, complemented
180	#11718439	C₂²	1	1	yes	characteristic, complemented
181	#11718439	C₂²	1	1	yes	characteristic, complemented
182	#11718439	C₂²	1	1	yes	characteristic, complemented
183	#11718438	C₂²	1	1	yes	characteristic, complemented
184	#11718437	C₂²	1	1	yes	characteristic, complemented
185	#11718437	C₂²	1	1	yes	characteristic, complemented
186	#11718433	C₂²	1	1	yes	characteristic, complemented
187	#11718429	C₂²	1	1	yes	characteristic, complemented
188	#11718423	C₂²	1	1	yes	characteristic, complemented
189	#11718419	C₂²	1	1	yes	characteristic, complemented
190	#11718418	C₂²	1	1	yes	characteristic, complemented
191	#11718399	C₂²	1	1	yes	characteristic, complemented
192	#11718399	C₂²	1	1	yes	characteristic, complemented
193	#11718391	C₂²	1	1	yes	characteristic, complemented
194	#11718388	C₂²	1	1	yes	characteristic, complemented
195	#11718386	C₂²	1	1	yes	characteristic, complemented
196	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
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	#11718370	C₂²	1	1	yes	characteristic, complemented
201	#11718367	C₂²	1	1	yes	characteristic, complemented
202	#11718364	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	—	2	1	no	—
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	C₂²×C₂²⋊D₁₃	—	2	1	no	—
210	C₂²×C₂²⋊D₁₃	—	2	1	no	—
211	#88257	—	4	2	no	—
212	#88257	—	4	2	no	—
213	C₂×Q₈×D₁₃	—	2	1	no	—
214	C₂×Q₈×D₁₃	—	2	1	no	—
215	C₂×Q₈×D₁₃	—	4	2	no	—
216	C₂×Q₈×D₁₃	—	4	2	no	—
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×Q₈×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×#6129	—	2	1	no	—
223	C₂×#6129	—	2	1	no	—
224	C₂×#6129	C₂³	1	1	yes	characteristic
225	C₂×#6129	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₁₃	—	2	1	no	—
227	C₂×D₄×D₁₃	—	2	1	no	—
228	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
230	C₂×#6127	—	2	1	no	—
231	C₂×#6127	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₁₃	—	2	1	no	—
233	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
234	C₂²×Dic₂₆	—	2	1	no	—
235	C₂²×Dic₂₆	—	2	1	no	—
236	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
237	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
238	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
239	C₂×C₁₃×SD₁₆	—	4	2	no	—
240	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
250	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₁₃×#127	C₂³	1	1	yes	characteristic
252	C₁₃×#124	—	2	1	no	—
253	C₁₃×#124	C₂³	1	1	yes	characteristic
254	C₁₃×C₂²⋊Q₈	—	2	1	no	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₁₃×#121	—	2	1	no	—
257	C₁₃×#121	—	2	1	no	—
258	C₁₃×#121	C₂³	1	1	yes	characteristic
259	C₁₃×#121	C₂³	1	1	yes	characteristic
260	C₁₃×#121	C₂³	1	1	yes	characteristic
261	C₁₃×#120	—	2	1	no	—
262	C₁₃×#120	—	2	1	no	—
263	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
266	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
267	#88207	—	2	1	no	—
268	#88207	—	2	1	no	—
269	#88207	—	2	1	no	—
270	#88207	—	2	1	no	—
271	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
272	#88200	—	2	1	no	—
273	#88200	C₂³	1	1	yes	characteristic
274	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
275	#88198	—	2	1	no	—
276	#88198	C₂³	1	1	yes	characteristic
277	C₂×#6106	C₂³	1	1	yes	characteristic
278	C₂×#6106	C₂³	1	1	yes	characteristic
279	#88194	—	2	1	no	—
280	#88194	—	2	1	no	—
281	#88194	C₂³	1	1	yes	characteristic
282	#88193	—	2	1	no	—
283	#88193	—	2	1	no	—
284	#88193	—	2	1	no	—
285	#88193	—	2	1	no	—
286	#88193	—	2	1	no	—
287	#88193	—	2	1	no	—
288	#88193	—	2	1	no	—
289	#88193	—	2	1	no	—
290	#88193	D₄	1	1	yes	characteristic
291	#88192	—	2	1	no	—
292	#88192	—	2	1	no	—
293	#88192	—	2	1	no	—
294	#88192	—	2	1	no	—
295	#88192	—	2	1	no	—
296	#88192	C₂³	1	1	yes	characteristic
297	#88192	C₂³	1	1	yes	characteristic
298	#88192	C₂³	1	1	yes	characteristic
299	#88192	C₂³	1	1	yes	characteristic
300	#88192	C₂³	1	1	yes	characteristic
301	#88192	C₂³	1	1	yes	characteristic
302	#88192	C₂³	1	1	yes	characteristic
303	#88192	C₂³	1	1	yes	characteristic
304	#88191	—	2	1	no	—
305	#88191	—	2	1	no	—
306	#88191	—	2	1	no	—
307	#88191	—	2	1	no	—
308	#88191	—	2	1	no	—
309	#88191	—	2	1	no	—
310	#88191	D₄	1	1	yes	characteristic
311	#88190	—	2	1	no	—
312	#88190	—	2	1	no	—
313	#88190	C₂³	1	1	yes	characteristic
314	#88189	—	2	1	no	—
315	#88189	—	2	1	no	—
316	#88189	—	2	1	no	—
317	D₄×Dic₁₃	—	2	1	no	—
318	D₄×Dic₁₃	—	2	1	no	—
319	D₄×Dic₁₃	—	2	1	no	—
320	D₄×Dic₁₃	—	2	1	no	—
321	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
322	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
323	C₂×#6105	—	4	2	no	—
324	C₂×#6105	—	4	2	no	—
325	C₂×#6105	C₂³	1	1	yes	characteristic
326	C₂×#6105	C₂³	1	1	yes	characteristic
327	C₂×#6105	C₂³	1	1	yes	characteristic
328	C₂×#6105	C₂³	1	1	yes	characteristic
329	C₂×#6105	C₂³	1	1	yes	characteristic
330	C₂×#6105	C₂³	1	1	yes	characteristic
331	C₂×#6105	C₂³	1	1	yes	characteristic
332	C₂×#6105	C₂³	1	1	yes	characteristic
333	C₂×#6105	C₂³	1	1	yes	characteristic
334	C₂×#6104	C₂³	1	1	yes	characteristic
335	#88184	—	2	1	no	—
336	#88184	C₂³	1	1	yes	characteristic
337	#88184	C₂³	1	1	yes	characteristic
338	#88183	—	2	1	no	—
339	#88183	—	2	1	no	—
340	C₄×C₂²⋊D₁₃	—	2	1	no	—
341	C₄×C₂²⋊D₁₃	—	2	1	no	—
342	C₄×C₂²⋊D₁₃	—	2	1	no	—
343	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
344	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
345	#88180	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
347	#88178	—	2	1	no	—
348	#88178	—	2	1	no	—
349	#88178	C₂³	1	1	yes	characteristic
350	#88178	C₂³	1	1	yes	characteristic
351	C₂²×#1055	C₂³	1	1	yes	characteristic
352	C₂²×#1055	C₂³	1	1	yes	characteristic
353	SD₁₆×D₁₃	—	4	2	no	—
354	SD₁₆×D₁₃	—	4	2	no	—
355	SD₁₆×D₁₃	—	4	2	no	—
356	#88165	—	4	2	no	—
357	C₂×#6095	C₂³	1	1	yes	characteristic
358	C₂×#6095	C₂³	1	1	yes	characteristic
359	C₂×#6095	C₂³	1	1	yes	characteristic
360	C₂×#6094	C₂³	1	1	yes	characteristic
361	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
362	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
363	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
364	#88152	—	2	1	no	—
365	#88151	—	2	1	no	—
366	#88151	—	2	1	no	—
367	#88151	C₂³	1	1	yes	characteristic
368	#88151	C₂³	1	1	yes	characteristic
369	#88150	—	2	1	no	—
370	#88150	D₄	1	1	yes	characteristic
371	#88149	C₂³	1	1	yes	characteristic
372	#88148	—	2	1	no	—
373	#88148	D₄	1	1	yes	characteristic
374	#88146	—	2	1	no	—
375	#88146	C₂³	1	1	yes	characteristic
376	#88146	C₂³	1	1	yes	characteristic
377	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
378	#88144	C₂³	1	1	yes	characteristic
379	#88142	—	2	1	no	—
380	#88142	—	2	1	no	—
381	#88142	—	2	1	no	—
382	#88141	—	2	1	no	—
383	#88141	C₂³	1	1	yes	characteristic
384	#88140	—	2	1	no	—
385	#88139	—	2	1	no	—
386	#88139	—	2	1	no	—
387	#88139	—	2	1	no	—
388	#88139	—	2	1	no	—
389	#88138	—	2	1	no	—
390	#88138	—	2	1	no	—
391	#88138	—	2	1	no	—
392	#88138	—	2	1	no	—
393	#88138	D₄	1	1	yes	characteristic
394	#88137	—	2	1	no	—
395	#88137	—	2	1	no	—
396	#88137	—	2	1	no	—
397	#88137	—	2	1	no	—
398	#88137	—	2	1	no	—
399	#88137	—	2	1	no	—
400	#88137	D₄	1	1	yes	characteristic
401	#88136	—	2	1	no	—
402	#88136	D₄	1	1	yes	characteristic
403	#88135	—	2	1	no	—
404	#88135	—	2	1	no	—
405	#88135	—	2	1	no	—
406	#88135	—	2	1	no	—
407	#88135	—	2	1	no	—
408	C₂²⋊C₄×D₁₃	—	2	1	no	—
409	#88133	—	2	1	no	—
410	#88133	—	2	1	no	—
411	#88133	—	2	1	no	—
412	#88132	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	—	2	1	no	—
415	#88132	—	2	1	no	—
416	#88132	—	2	1	no	—
417	#88132	—	2	1	no	—
418	#88132	—	2	1	no	—
419	#88132	D₄	1	1	yes	characteristic
420	C₄×D₅₂	—	2	1	no	—
421	C₄×D₅₂	C₂³	1	1	yes	characteristic
422	C₄×D₅₂	C₂³	1	1	yes	characteristic
423	#88126	—	2	1	no	—
424	#88126	C₂³	1	1	yes	characteristic
425	#88124	C₂³	1	1	yes	characteristic
426	#88123	—	2	1	no	—
427	#88123	C₂³	1	1	yes	characteristic
428	C₄×Dic₂₆	—	2	1	no	—
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
430	C₁₃×#107	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#102	C₂³	1	1	yes	characteristic
435	C₁₃×#102	C₂³	1	1	yes	characteristic
436	C₁₃×#102	C₂³	1	1	yes	characteristic
437	C₁₃×#102	C₂³	1	1	yes	characteristic
438	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×#97	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88075	C₂³	1	1	yes	characteristic
445	#88075	C₂³	1	1	yes	characteristic
446	#88075	C₂³	1	1	yes	characteristic
447	#88072	C₂³	1	1	yes	characteristic
448	#88072	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	#88072	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic
454	C₂²⋊#1055	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88058	C₂³	1	1	yes	characteristic
465	#88058	C₂³	1	1	yes	characteristic
466	#88057	C₂³	1	1	yes	characteristic
467	#88056	C₂³	1	1	yes	characteristic
468	#88056	C₂³	1	1	yes	characteristic
469	#88056	C₂³	1	1	yes	characteristic
470	#88056	C₂³	1	1	yes	characteristic
471	#88056	C₂³	1	1	yes	characteristic
472	#88056	C₂³	1	1	yes	characteristic
473	#88056	C₂³	1	1	yes	characteristic
474	#88056	C₂³	1	1	yes	characteristic
475	#88056	C₂³	1	1	yes	characteristic
476	#88055	C₂³	1	1	yes	characteristic
477	#88054	C₂³	1	1	yes	characteristic
478	#88054	C₂³	1	1	yes	characteristic
479	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
480	#88050	C₂³	1	1	yes	characteristic
481	#88050	C₂³	1	1	yes	characteristic
482	#88050	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic
485	#88048	C₂³	1	1	yes	characteristic
486	#88048	C₂³	1	1	yes	characteristic
487	#88047	C₂³	1	1	yes	characteristic
488	C₄⋊#1055	C₂³	1	1	yes	characteristic
489	C₄×#1055	C₂³	1	1	yes	characteristic
490	#61633	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂⁴×C₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
496	C₁₃×#41	—	2	2	no	—
497	C₁₃×#41	—	4	1	no	—
498	C₂×Q₈×C₁₃	—	2	1	no	—
499	C₂×Q₈×C₁₃	—	2	2	no	—
500	C₂×Q₈×C₁₃	—	4	1	no	—
501	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	4	1	no	—
512	C₂×D₄×C₁₃	—	4	1	no	—
513	C₂×D₄×C₁₃	—	4	1	no	—
514	C₂×D₄×C₁₃	—	4	1	no	—
515	C₂×D₄×C₁₃	—	8	2	no	—
516	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
517	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₁₃	—	2	1	no	—
522	C₂²×C₄×C₁₃	—	2	1	no	—
523	C₂²×C₄×C₁₃	—	2	1	no	—
524	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	2	1	no	—
536	C₂×C₂²⋊D₁₃	—	2	1	no	—
537	C₂×C₂²⋊D₁₃	—	2	1	no	—
538	C₂×C₂²⋊D₁₃	—	2	1	no	—
539	C₂×C₂²⋊D₁₃	—	2	1	no	—
540	C₂×C₂²⋊D₁₃	—	2	1	no	—
541	C₂×C₂²⋊D₁₃	—	2	1	no	—
542	C₂×C₂²⋊D₁₃	—	8	2	no	—
543	C₂×C₂²⋊D₁₃	—	8	2	no	—
544	C₂×C₂²⋊D₁₃	—	8	2	no	—
545	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
546	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
547	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
548	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
549	C₂²×Dic₁₃	—	2	1	no	—
550	C₂²×Dic₁₃	—	2	1	no	—
551	C₂²×Dic₁₃	—	2	1	no	—
552	C₂²×Dic₁₃	—	2	1	no	—
553	C₂²×Dic₁₃	—	2	1	no	—
554	C₂²×Dic₁₃	—	2	1	no	—
555	C₂²×Dic₁₃	—	2	1	no	—
556	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
557	Q₈×D₁₃	—	2	2	no	—
558	Q₈×D₁₃	—	2	2	no	—
559	Q₈×D₁₃	—	2	2	no	—
560	Q₈×D₁₃	—	2	2	no	—
561	Q₈×D₁₃	—	2	2	no	—
562	Q₈×D₁₃	—	4	1	no	—
563	Q₈×D₁₃	—	4	1	no	—
564	Q₈×D₁₃	—	4	1	no	—
565	Q₈×D₁₃	—	4	1	no	—
566	Q₈×D₁₃	—	4	1	no	—
567	Q₈×D₁₃	—	4	4	no	—
568	Q₈×D₁₃	—	4	4	no	—
569	#6129	—	2	2	no	—
570	#6129	—	4	1	no	—
571	#6129	—	4	1	no	—
572	#6129	—	4	1	no	—
573	#6129	—	4	4	no	—
574	#6129	—	4	4	no	—
575	D₄×D₁₃	—	4	1	no	—
576	D₄×D₁₃	—	4	1	no	—
577	D₄×D₁₃	—	4	1	no	—
578	D₄×D₁₃	—	4	1	no	—
579	D₄×D₁₃	—	8	2	no	—
580	D₄×D₁₃	—	8	2	no	—
581	#6127	—	4	1	no	—
582	#6127	—	4	1	no	—
583	#6127	—	4	4	no	—
584	C₂×D₅₂	—	2	1	no	—
585	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
586	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
587	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
588	C₂×C₄×D₁₃	—	2	1	no	—
589	C₂×C₄×D₁₃	—	2	1	no	—
590	C₂×C₄×D₁₃	—	2	1	no	—
591	C₂×C₄×D₁₃	—	2	1	no	—
592	C₂×C₄×D₁₃	—	2	1	no	—
593	C₂×C₄×D₁₃	—	2	1	no	—
594	C₂×C₄×D₁₃	—	2	1	no	—
595	C₂×C₄×D₁₃	—	4	1	no	—
596	C₂×C₄×D₁₃	—	4	1	no	—
597	C₂×C₄×D₁₃	—	4	4	no	—
598	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
599	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
600	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
602	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
603	C₂×Dic₂₆	—	2	1	no	—
604	C₂×Dic₂₆	—	2	2	no	—
605	C₂×Dic₂₆	—	2	2	no	—
606	C₂×Dic₂₆	—	2	1	no	—
607	C₂×Dic₂₆	—	2	1	no	—
608	C₂×Dic₂₆	—	2	1	no	—
609	C₂×Dic₂₆	—	2	1	no	—
610	C₂×Dic₂₆	—	2	1	no	—
611	C₂×Dic₂₆	—	2	1	no	—
612	C₂×Dic₂₆	—	4	1	no	—
613	C₂×Dic₂₆	—	4	1	no	—
614	C₂×Dic₂₆	—	4	4	no	—
615	C₂×Dic₂₆	—	4	4	no	—
616	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
617	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
618	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
619	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
620	C₁₃×SD₁₆	—	2	2	no	—
621	C₁₃×SD₁₆	—	2	2	no	—
622	C₁₃×SD₁₆	—	2	2	no	—
623	C₁₃×SD₁₆	—	4	1	no	—
624	C₁₃×SD₁₆	—	4	1	no	—
625	C₁₃×SD₁₆	—	4	1	no	—
626	C₁₃×D₈	—	4	1	no	—
627	C₁₃×D₈	—	4	1	no	—
628	C₁₃×D₈	—	4	1	no	—
629	C₁₃×M₁₆	—	4	1	no	—
630	C₂×C₈×C₁₃	—	4	1	no	—
631	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
632	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
633	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
634	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
635	C₁₃×C₄⋊C₄	—	2	1	no	—
636	C₁₃×C₄⋊C₄	—	2	1	no	—
637	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
639	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
649	C₄²×C₁₃	—	2	1	no	—
650	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
651	C₂²⋊Dic₁₃	—	2	1	no	—
652	C₂²⋊Dic₁₃	—	2	1	no	—
653	C₂²⋊Dic₁₃	—	2	1	no	—
654	C₂²⋊Dic₁₃	—	2	1	no	—
655	C₂²⋊Dic₁₃	—	2	1	no	—
656	C₂²⋊Dic₁₃	—	2	1	no	—
657	C₂²⋊Dic₁₃	—	2	1	no	—
658	C₂²⋊Dic₁₃	—	2	1	no	—
659	C₂²⋊Dic₁₃	—	2	1	no	—
660	C₂²⋊Dic₁₃	—	2	1	no	—
661	C₂²⋊Dic₁₃	—	2	1	no	—
662	C₂²⋊Dic₁₃	—	2	1	no	—
663	C₂²⋊Dic₁₃	—	2	1	no	—
664	C₂²⋊Dic₁₃	—	2	1	no	—
665	C₂²⋊Dic₁₃	—	2	1	no	—
666	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
667	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
668	#6106	—	2	2	no	—
669	#6106	—	4	1	no	—
670	#6105	—	2	2	no	—
671	#6105	—	2	2	no	—
672	#6105	—	2	2	no	—
673	#6105	—	4	1	no	—
674	#6105	—	4	1	no	—
675	#6105	—	4	1	no	—
676	#6105	—	4	1	no	—
677	#6105	—	4	1	no	—
678	#6105	—	4	1	no	—
679	#6104	—	4	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	—	2	1	no	—
684	#6103	—	2	1	no	—
685	#6103	—	2	1	no	—
686	#6103	—	2	1	no	—
687	#6103	—	2	1	no	—
688	#6103	—	2	1	no	—
689	#6103	C₂×D₄	1	1	yes	characteristic
690	#6103	C₂×D₄	1	1	yes	characteristic
691	#6103	C₂×D₄	1	1	yes	characteristic
692	#6103	C₂×D₄	1	1	yes	characteristic
693	#6103	C₂×D₄	1	1	yes	characteristic
694	#6103	C₂×D₄	1	1	yes	characteristic
695	C₄⋊Dic₁₃	—	2	1	no	—
696	C₄⋊Dic₁₃	—	2	1	no	—
697	C₄⋊Dic₁₃	—	2	1	no	—
698	C₄⋊Dic₁₃	—	2	1	no	—
699	C₄⋊Dic₁₃	—	2	1	no	—
700	C₄⋊Dic₁₃	—	2	1	no	—
701	C₄⋊Dic₁₃	—	2	1	no	—
702	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
703	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
704	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
705	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
706	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	—	2	1	no	—
717	#6101	—	2	1	no	—
718	#6101	C₂×D₄	1	1	yes	characteristic
719	#6101	C₂×D₄	1	1	yes	characteristic
720	#6101	C₂×D₄	1	1	yes	characteristic
721	#6101	C₂×D₄	1	1	yes	characteristic
722	C₄×Dic₁₃	—	2	1	no	—
723	C₄×Dic₁₃	—	2	1	no	—
724	C₄×Dic₁₃	—	2	1	no	—
725	C₄×Dic₁₃	—	2	1	no	—
726	C₄×Dic₁₃	—	2	1	no	—
727	C₄×Dic₁₃	—	2	1	no	—
728	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
729	C₂×#1055	—	4	1	no	—
730	C₂×#1055	—	4	1	no	—
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	C₂×#1055	C₂⁴	1	1	yes	characteristic
733	C₂×#1055	C₂⁴	1	1	yes	characteristic
734	C₂×#1055	C₂⁴	1	1	yes	characteristic
735	#6095	—	2	2	no	—
736	#6095	—	4	1	no	—
737	#6095	—	4	1	no	—
738	#6094	—	4	1	no	—
739	C₈×D₁₃	—	4	1	no	—
740	C₈×D₁₃	—	4	1	no	—
741	C₈×D₁₃	—	4	1	no	—
742	#3537	—	13	1	no	—
743	#3486	—	13	1	no	—
744	#3320	—	13	1	no	—
745	#3320	—	13	1	no	—
746	#3320	—	13	1	no	—
747	#3320	—	13	1	no	—
748	#3301	—	13	1	no	—
749	#3301	—	13	1	no	—
750	#3301	—	13	1	no	—
751	#3301	—	13	1	no	—
752	D₄×SD₁₆	—	13	1	no	—
753	D₄×SD₁₆	—	13	1	no	—
754	D₄×SD₁₆	—	13	1	no	—
755	D₄×SD₁₆	—	13	1	no	—
756	#3265	—	13	1	no	—
757	#3265	—	13	1	no	—
758	#3265	—	13	1	no	—
759	#3265	D₁₃	1	1	yes	characteristic, complemented
760	#3221	—	13	1	no	—
761	#3221	—	13	1	no	—
762	#3200	—	13	1	no	—
763	#3200	—	13	1	no	—
764	#3188	—	13	1	no	—
765	#3188	—	13	1	no	—
766	#3126	—	13	1	no	—
767	#3126	—	13	1	no	—
768	#3010	—	13	1	no	—
769	#3010	—	13	1	no	—
770	C₂×#448	—	13	1	no	—
771	C₂×#448	—	13	1	no	—
772	#2977	—	13	1	no	—
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	—	2	1	no	—
775	C₂³×C₁₃	—	2	1	no	—
776	C₂³×C₁₃	—	2	1	no	—
777	C₂³×C₁₃	—	4	2	no	—
778	C₂³×C₁₃	—	8	1	no	—
779	C₂³×C₁₃	—	8	1	no	—
780	C₂³×C₁₃	—	8	1	no	—
781	C₂³×C₁₃	—	8	1	no	—
782	C₂³×C₁₃	—	8	1	no	—
783	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂²×D₁₃	—	2	2	no	—
786	C₂²×D₁₃	—	2	2	no	—
787	C₂²×D₁₃	—	2	1	no	—
788	C₂²×D₁₃	—	4	1	no	—
789	C₂²×D₁₃	—	4	2	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	C₂²×D₄	1	1	yes	characteristic
796	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
797	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
798	Q₈×C₁₃	—	2	1	no	—
799	Q₈×C₁₃	—	2	1	no	—
800	Q₈×C₁₃	—	2	1	no	—
801	Q₈×C₁₃	—	4	2	no	—
802	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
803	D₄×C₁₃	—	2	2	no	—
804	D₄×C₁₃	—	2	1	no	—
805	D₄×C₁₃	—	2	1	no	—
806	D₄×C₁₃	—	2	1	no	—
807	D₄×C₁₃	—	2	1	no	—
808	D₄×C₁₃	—	2	1	no	—
809	D₄×C₁₃	—	2	1	no	—
810	D₄×C₁₃	—	2	1	no	—
811	D₄×C₁₃	—	2	1	no	—
812	D₄×C₁₃	—	4	2	no	—
813	D₄×C₁₃	—	4	2	no	—
814	D₄×C₁₃	—	4	2	no	—
815	D₄×C₁₃	—	8	1	no	—
816	D₄×C₁₃	—	8	1	no	—
817	D₄×C₁₃	—	8	1	no	—
818	D₄×C₁₃	—	8	1	no	—
819	D₄×C₁₃	—	8	1	no	—
820	C₂×C₄×C₁₃	—	2	1	no	—
821	C₂×C₄×C₁₃	—	2	1	no	—
822	C₂×C₄×C₁₃	—	2	1	no	—
823	C₂×C₄×C₁₃	—	2	1	no	—
824	C₂×C₄×C₁₃	—	2	1	no	—
825	C₂×C₄×C₁₃	—	2	1	no	—
826	C₂×C₄×C₁₃	—	2	1	no	—
827	C₂×C₄×C₁₃	—	2	1	no	—
828	C₂×C₄×C₁₃	—	4	2	no	—
829	C₂×C₄×C₁₃	—	4	2	no	—
830	C₂×C₄×C₁₃	—	8	1	no	—
831	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
832	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
833	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
834	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
835	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
836	C₂²⋊D₁₃	—	2	2	no	—
837	C₂²⋊D₁₃	—	2	2	no	—
838	C₂²⋊D₁₃	—	4	1	no	—
839	C₂²⋊D₁₃	—	4	1	no	—
840	C₂²⋊D₁₃	—	4	2	no	—
841	C₂²⋊D₁₃	—	4	2	no	—
842	C₂²⋊D₁₃	—	4	2	no	—
843	C₂²⋊D₁₃	—	4	2	no	—
844	C₂²⋊D₁₃	—	4	2	no	—
845	C₂²⋊D₁₃	—	4	2	no	—
846	C₂²⋊D₁₃	—	8	1	no	—
847	C₂²⋊D₁₃	—	8	1	no	—
848	C₂²⋊D₁₃	—	8	1	no	—
849	C₂²⋊D₁₃	—	8	1	no	—
850	C₂²⋊D₁₃	—	8	1	no	—
851	C₂²⋊D₁₃	—	8	1	no	—
852	C₂²⋊D₁₃	—	8	1	no	—
853	C₂²⋊D₁₃	—	8	1	no	—
854	C₂²⋊D₁₃	—	8	1	no	—
855	C₂²⋊D₁₃	—	8	1	no	—
856	C₂×Dic₁₃	—	2	1	no	—
857	C₂×Dic₁₃	—	2	1	no	—
858	C₂×Dic₁₃	—	2	1	no	—
859	C₂×Dic₁₃	—	2	1	no	—
860	C₂×Dic₁₃	—	2	1	no	—
861	C₂×Dic₁₃	—	2	1	no	—
862	C₂×Dic₁₃	—	2	1	no	—
863	C₂×Dic₁₃	—	4	1	no	—
864	C₂×Dic₁₃	—	4	2	no	—
865	C₂×Dic₁₃	—	4	2	no	—
866	C₂×Dic₁₃	—	4	2	no	—
867	C₂×Dic₁₃	—	4	2	no	—
868	C₂×Dic₁₃	—	8	1	no	—
869	C₂×Dic₁₃	—	8	1	no	—
870	C₂×Dic₁₃	—	8	1	no	—
871	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
872	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
873	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
874	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
875	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
876	D₅₂	—	2	2	no	—
877	D₅₂	—	2	1	no	—
878	D₅₂	—	2	1	no	—
879	D₅₂	—	4	1	no	—
880	D₅₂	—	8	1	no	—
881	C₄×D₁₃	—	2	4	no	—
882	C₄×D₁₃	—	2	1	no	—
883	C₄×D₁₃	—	2	1	no	—
884	C₄×D₁₃	—	2	1	no	—
885	C₄×D₁₃	—	2	1	no	—
886	C₄×D₁₃	—	2	1	no	—
887	C₄×D₁₃	—	2	1	no	—
888	C₄×D₁₃	—	4	1	no	—
889	C₄×D₁₃	—	4	1	no	—
890	C₄×D₁₃	—	4	2	no	—
891	C₄×D₁₃	—	4	2	no	—
892	C₄×D₁₃	—	4	2	no	—
893	C₄×D₁₃	—	4	2	no	—
894	C₄×D₁₃	—	8	1	no	—
895	C₄×D₁₃	—	8	1	no	—
896	Dic₂₆	—	2	4	no	—
897	Dic₂₆	—	2	1	no	—
898	Dic₂₆	—	2	1	no	—
899	Dic₂₆	—	2	1	no	—
900	Dic₂₆	—	2	1	no	—
901	Dic₂₆	—	2	1	no	—
902	Dic₂₆	—	4	1	no	—
903	Dic₂₆	—	4	2	no	—
904	Dic₂₆	—	4	2	no	—
905	Dic₂₆	—	4	2	no	—
906	Dic₂₆	—	4	2	no	—
907	Dic₂₆	—	4	2	no	—
908	Dic₂₆	—	4	2	no	—
909	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
910	C₈×C₁₃	—	2	1	no	—
911	C₈×C₁₃	—	2	1	no	—
912	C₈×C₁₃	—	2	1	no	—
913	C₈×C₁₃	—	2	1	no	—
914	#1055	—	2	1	no	—
915	#1055	—	2	1	no	—
916	#1055	—	2	1	no	—
917	#1055	—	2	1	no	—
918	C₂×2₋¹⁺⁴	—	13	1	no	—
919	C₂³×Q₈	—	13	1	no	—
920	C₂×AGL(1,ℤ/8)	—	13	1	no	—
921	C₂×AGL(1,ℤ/8)	C₂×D₁₃	1	1	yes	characteristic, complemented
922	C₂²×SD₁₆	—	13	1	no	—
923	C₂²×SD₁₆	—	13	1	no	—
924	C₂²×SD₁₆	—	13	1	no	—
925	C₂²×SD₁₆	—	13	1	no	—
926	C₂²×SD₁₆	—	13	1	no	—
927	C₂²×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
928	#560	—	26	1	no	—
929	#560	—	26	1	no	—
930	#553	—	13	1	no	—
931	#553	—	13	1	no	—
932	#553	—	13	1	no	—
933	#553	—	13	1	no	—
934	D₄×Q₈	—	13	1	no	—
935	D₄×Q₈	—	13	1	no	—
936	D₄×Q₈	—	13	1	no	—
937	D₄×Q₈	—	13	1	no	—
938	D₄×Q₈	—	26	1	no	—
939	D₄×Q₈	—	26	1	no	—
940	#548	—	13	1	no	—
941	#548	—	13	1	no	—
942	#548	—	13	1	no	—
943	#548	—	26	1	no	—
944	#548	—	26	1	no	—
945	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
946	D₄²	—	13	1	no	—
947	D₄²	—	13	1	no	—
948	D₄²	—	13	1	no	—
949	D₄²	—	26	1	no	—
950	D₄²	—	26	1	no	—
951	D₄²	C₂×D₁₃	1	1	yes	characteristic
952	#540	—	13	1	no	—
953	#540	—	13	1	no	—
954	#538	—	26	1	no	—
955	#538	—	26	1	no	—
956	#536	—	13	1	no	—
957	#536	—	13	1	no	—
958	#536	—	26	1	no	—
959	#536	—	26	1	no	—
960	#535	—	13	1	no	—
961	#535	—	13	1	no	—
962	#534	—	26	1	no	—
963	#534	—	26	1	no	—
964	#525	—	13	1	no	—
965	#525	—	13	1	no	—
966	#525	—	26	1	no	—
967	#525	—	26	1	no	—
968	C₂×#121	—	13	1	no	—
969	C₂×#121	—	13	1	no	—
970	#519	—	13	1	no	—
971	#496	—	13	1	no	—
972	#496	C₂×D₁₃	1	1	yes	characteristic, complemented
973	#492	—	13	1	no	—
974	#492	—	13	1	no	—
975	#491	—	13	1	no	—
976	#491	—	13	1	no	—
977	#488	—	13	1	no	—
978	#488	—	13	1	no	—
979	#485	—	13	1	no	—
980	#485	—	13	1	no	—
981	#485	—	13	1	no	—
982	#485	—	13	1	no	—
983	#484	—	13	1	no	—
984	#484	—	13	1	no	—
985	#482	—	13	1	no	—
986	#482	—	13	1	no	—
987	#482	—	13	1	no	—
988	#482	—	13	1	no	—
989	#481	—	13	1	no	—
990	#481	—	13	1	no	—
991	#479	—	13	1	no	—
992	#479	—	13	1	no	—
993	#479	—	13	1	no	—
994	#479	—	13	1	no	—
995	#468	—	13	1	no	—
996	#468	—	13	1	no	—
997	#468	—	13	1	no	—
998	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
999	#466	—	13	1	no	—
1000	#466	—	13	1	no	—
1001	#466	—	13	1	no	—
1002	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
1003	#465	—	13	1	no	—
1004	#465	—	13	1	no	—
1005	#465	—	13	1	no	—
1006	#465	—	13	1	no	—
1007	#465	—	13	1	no	—
1008	#465	—	13	1	no	—
1009	#465	—	13	1	no	—
1010	#465	—	13	1	no	—
1011	#463	—	13	1	no	—
1012	#463	—	13	1	no	—
1013	#463	—	13	1	no	—
1014	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1015	#461	—	13	1	no	—
1016	#461	—	13	1	no	—
1017	#461	—	13	1	no	—
1018	#461	—	13	1	no	—
1019	#460	—	13	1	no	—
1020	#460	—	13	1	no	—
1021	#460	—	13	1	no	—
1022	#460	C₂×D₁₃	1	1	yes	characteristic, complemented
1023	#450	—	13	1	no	—
1024	#450	—	13	1	no	—
1025	#450	—	13	1	no	—
1026	#450	—	13	1	no	—
1027	#450	—	13	1	no	—
1028	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1029	#449	—	13	1	no	—
1030	#449	—	13	1	no	—
1031	#449	—	13	1	no	—
1032	#449	—	13	1	no	—
1033	#449	—	13	1	no	—
1034	#449	—	13	1	no	—
1035	#449	—	13	1	no	—
1036	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1037	#448	—	13	1	no	—
1038	#448	—	13	1	no	—
1039	#448	—	13	1	no	—
1040	#448	—	13	1	no	—
1041	#448	—	13	1	no	—
1042	#448	—	13	1	no	—
1043	#448	—	13	1	no	—
1044	#448	—	13	1	no	—
1045	#448	—	13	1	no	—
1046	#448	—	13	1	no	—
1047	#448	—	13	1	no	—
1048	#448	—	13	1	no	—
1049	#448	—	13	1	no	—
1050	#448	—	13	1	no	—
1051	#448	—	13	1	no	—
1052	#448	—	13	1	no	—
1053	#448	—	13	1	no	—
1054	#448	—	13	1	no	—
1055	#448	—	13	1	no	—
1056	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1057	#447	—	13	1	no	—
1058	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1059	#440	—	13	1	no	—
1060	#440	—	13	1	no	—
1061	#440	—	13	1	no	—
1062	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
1063	C₄×SD₁₆	—	13	1	no	—
1064	C₄×SD₁₆	—	13	1	no	—
1065	C₄×SD₁₆	—	13	1	no	—
1066	C₄×SD₁₆	—	13	1	no	—
1067	#435	—	13	1	no	—
1068	#435	—	13	1	no	—
1069	#435	—	13	1	no	—
1070	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1071	C₈×D₄	—	13	1	no	—
1072	C₈×D₄	—	13	1	no	—
1073	C₈×D₄	—	13	1	no	—
1074	C₈×D₄	—	13	1	no	—
1075	#433	—	13	1	no	—
1076	#433	—	13	1	no	—
1077	#419	—	13	1	no	—
1078	#419	—	13	1	no	—
1079	#416	—	13	1	no	—
1080	#416	—	13	1	no	—
1081	C₂×#103	—	13	1	no	—
1082	C₂×#103	—	13	1	no	—
1083	C₂×#103	—	13	1	no	—
1084	C₂×#103	—	13	1	no	—
1085	#408	—	13	1	no	—
1086	#408	—	13	1	no	—
1087	C₂×C₂²⋊C₈	—	13	1	no	—
1088	C₂×C₂²⋊C₈	—	13	1	no	—
1089	C₂²×C₁₃	—	2	1	no	—
1090	C₂²×C₁₃	—	2	1	no	—
1091	C₂²×C₁₃	—	2	1	no	—
1092	C₂²×C₁₃	—	2	1	no	—
1093	C₂²×C₁₃	—	2	1	no	—
1094	C₂²×C₁₃	—	4	1	no	—
1095	C₂²×C₁₃	—	4	1	no	—
1096	C₂²×C₁₃	—	4	1	no	—
1097	C₂²×C₁₃	—	4	1	no	—
1098	C₂²×C₁₃	—	4	1	no	—
1099	C₂²×C₁₃	—	4	1	no	—
1100	C₂²×C₁₃	—	4	1	no	—
1101	C₂²×C₁₃	—	4	1	no	—
1102	C₂²×C₁₃	—	4	1	no	—
1103	C₂²×C₁₃	—	4	1	no	—
1104	C₂²×C₁₃	—	4	1	no	—
1105	C₂²×C₁₃	—	4	1	no	—
1106	C₂²×C₁₃	—	16	2	no	—
1107	C₂²×C₁₃	—	16	2	no	—
1108	C₂²×C₁₃	#577	1	2	yes	—
1109	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1110	C₂×D₁₃	—	2	1	no	—
1111	C₂×D₁₃	—	2	1	no	—
1112	C₂×D₁₃	—	2	1	no	—
1113	C₂×D₁₃	—	2	1	no	—
1114	C₂×D₁₃	—	2	1	no	—
1115	C₂×D₁₃	—	2	1	no	—
1116	C₂×D₁₃	—	2	1	no	—
1117	C₂×D₁₃	—	2	1	no	—
1118	C₂×D₁₃	—	4	4	no	—
1119	C₂×D₁₃	—	4	1	no	—
1120	C₂×D₁₃	—	4	1	no	—
1121	C₂×D₁₃	—	4	1	no	—
1122	C₂×D₁₃	—	16	2	no	—
1123	C₂×D₁₃	—	16	2	no	—
1124	C₂×D₁₃	#577	1	2	yes	—
1125	C₄×C₁₃	—	2	2	no	—
1126	C₄×C₁₃	—	2	1	no	—
1127	C₄×C₁₃	—	2	1	no	—
1128	C₄×C₁₃	—	2	1	no	—
1129	C₄×C₁₃	—	2	1	no	—
1130	C₄×C₁₃	—	4	1	no	—
1131	C₄×C₁₃	—	4	1	no	—
1132	C₄×C₁₃	—	4	1	no	—
1133	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1134	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1135	Dic₁₃	—	2	1	no	—
1136	Dic₁₃	—	2	2	no	—
1137	Dic₁₃	—	2	1	no	—
1138	Dic₁₃	—	2	1	no	—
1139	Dic₁₃	—	2	1	no	—
1140	Dic₁₃	—	2	1	no	—
1141	Dic₁₃	—	4	1	no	—
1142	Dic₁₃	—	4	1	no	—
1143	Dic₁₃	—	4	1	no	—
1144	Dic₁₃	—	4	1	no	—
1145	Dic₁₃	—	4	1	no	—
1146	Dic₁₃	—	4	1	no	—
1147	2₋¹⁺⁴	—	52	2	no	—
1148	2₋¹⁺⁴	—	52	2	no	—
1149	C₂×#41	—	13	1	no	—
1150	C₂×#41	—	13	1	no	—
1151	C₂×#41	—	13	1	no	—
1152	C₂×#41	—	26	1	no	—
1153	C₂×#41	—	26	1	no	—
1154	C₂×#41	—	26	1	no	—
1155	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1156	C₂²×Q₈	—	13	1	no	—
1157	C₂²×Q₈	—	13	1	no	—
1158	C₂²×Q₈	—	13	1	no	—
1159	C₂²×Q₈	—	13	1	no	—
1160	C₂²×Q₈	—	13	1	no	—
1161	C₂²×Q₈	—	13	1	no	—
1162	C₂²×Q₈	—	13	1	no	—
1163	C₂²×Q₈	—	26	1	no	—
1164	C₂²×Q₈	—	26	1	no	—
1165	C₂²×Q₈	—	26	1	no	—
1166	C₂²×Q₈	—	26	1	no	—
1167	C₂²×Q₈	—	52	2	no	—
1168	C₂²×Q₈	—	52	2	no	—
1169	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1170	C₂²×D₄	—	2	1	no	—
1171	C₂²×D₄	—	13	1	no	—
1172	C₂²×D₄	—	13	1	no	—
1173	C₂²×D₄	—	26	1	no	—
1174	C₂²×D₄	—	26	1	no	—
1175	C₂²×D₄	—	26	1	no	—
1176	C₂²×D₄	—	26	1	no	—
1177	C₂²×D₄	—	26	1	no	—
1178	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1179	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1180	C₂³×C₄	—	13	1	no	—
1181	C₂³×C₄	—	26	1	no	—
1182	AGL(1,ℤ/8)	—	4	2	no	—
1183	AGL(1,ℤ/8)	—	52	2	no	—
1184	C₂×SD₁₆	—	4	2	no	—
1185	C₂×SD₁₆	—	13	1	no	—
1186	C₂×SD₁₆	—	13	1	no	—
1187	C₂×SD₁₆	—	13	1	no	—
1188	C₂×SD₁₆	—	13	1	no	—
1189	C₂×SD₁₆	—	13	1	no	—
1190	C₂×SD₁₆	—	13	1	no	—
1191	C₂×SD₁₆	—	13	1	no	—
1192	C₂×SD₁₆	—	13	1	no	—
1193	C₂×SD₁₆	—	13	1	no	—
1194	C₂×SD₁₆	—	13	1	no	—
1195	C₂×SD₁₆	—	13	1	no	—
1196	C₂×SD₁₆	—	13	1	no	—
1197	C₂×SD₁₆	—	13	1	no	—
1198	C₂×SD₁₆	—	13	1	no	—
1199	C₂×SD₁₆	—	52	2	no	—
1200	C₂×SD₁₆	—	52	2	no	—
1201	C₂×SD₁₆	—	52	2	no	—
1202	C₂×SD₁₆	—	52	2	no	—
1203	C₂×SD₁₆	—	52	2	no	—
1204	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1205	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1206	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1207	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1208	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1209	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1210	C₂×D₈	—	13	1	no	—
1211	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1212	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1213	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1214	C₂×M₁₆	—	13	1	no	—
1215	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1216	C₂²×C₈	—	13	1	no	—
1217	C₂²×C₈	—	13	1	no	—
1218	C₂²×C₈	—	13	1	no	—
1219	C₂²×C₈	—	13	1	no	—
1220	C₂²×C₈	—	13	1	no	—
1221	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1222	C₄⋊Q₈	—	13	1	no	—
1223	C₄⋊Q₈	—	13	1	no	—
1224	C₄⋊Q₈	—	26	1	no	—
1225	C₄⋊Q₈	—	26	1	no	—
1226	C₄⋊Q₈	—	26	1	no	—
1227	C₄⋊Q₈	—	26	1	no	—
1228	C₄⋊Q₈	—	26	1	no	—
1229	#127	—	13	1	no	—
1230	#127	—	26	1	no	—
1231	#127	—	26	1	no	—
1232	#127	C₂²×D₁₃	1	1	yes	characteristic
1233	#126	—	26	1	no	—
1234	#126	—	26	1	no	—
1235	#126	—	26	1	no	—
1236	#126	—	26	1	no	—
1237	#125	—	13	1	no	—
1238	#125	—	13	1	no	—
1239	#124	—	2	1	no	—
1240	#124	—	13	1	no	—
1241	#124	—	26	1	no	—
1242	#124	—	26	1	no	—
1243	#124	—	26	1	no	—
1244	#124	—	26	1	no	—
1245	#124	—	26	1	no	—
1246	#124	—	26	1	no	—
1247	#124	C₂²×D₁₃	1	1	yes	characteristic
1248	#123	—	13	1	no	—
1249	#123	—	13	1	no	—
1250	#123	—	26	1	no	—
1251	#123	—	26	1	no	—
1252	#123	—	26	1	no	—
1253	#123	—	26	1	no	—
1254	#123	—	26	1	no	—
1255	#123	—	26	1	no	—
1256	#123	—	26	1	no	—
1257	#123	—	26	1	no	—
1258	#123	—	26	1	no	—
1259	#123	—	26	1	no	—
1260	#123	—	26	1	no	—
1261	#123	—	26	1	no	—
1262	#123	—	26	1	no	—
1263	C₂²⋊Q₈	—	2	1	no	—
1264	C₂²⋊Q₈	—	13	1	no	—
1265	C₂²⋊Q₈	—	13	1	no	—
1266	C₂²⋊Q₈	—	13	1	no	—
1267	C₂²⋊Q₈	—	13	1	no	—
1268	C₂²⋊Q₈	—	13	1	no	—
1269	C₂²⋊Q₈	—	13	1	no	—
1270	C₂²⋊Q₈	—	13	1	no	—
1271	C₂²⋊Q₈	—	26	1	no	—
1272	C₂²⋊Q₈	—	26	1	no	—
1273	C₂²⋊Q₈	—	26	1	no	—
1274	C₂²⋊Q₈	—	26	1	no	—
1275	C₂²⋊Q₈	—	26	1	no	—
1276	C₂²⋊Q₈	—	26	1	no	—
1277	C₂²⋊Q₈	—	26	1	no	—
1278	C₂²⋊Q₈	—	26	1	no	—
1279	C₂²⋊Q₈	—	26	1	no	—
1280	C₂²⋊Q₈	—	26	1	no	—
1281	C₂²⋊Q₈	—	26	1	no	—
1282	C₂²⋊Q₈	—	26	1	no	—
1283	C₂²⋊Q₈	—	26	1	no	—
1284	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1285	#121	—	2	1	no	—
1286	#121	—	2	1	no	—
1287	#121	—	13	1	no	—
1288	#121	—	13	1	no	—
1289	#121	—	13	1	no	—
1290	#121	—	13	1	no	—
1291	#121	—	13	1	no	—
1292	#121	—	13	1	no	—
1293	#121	—	13	1	no	—
1294	#121	—	13	1	no	—
1295	#121	—	13	1	no	—
1296	#121	—	13	1	no	—
1297	#121	—	13	1	no	—
1298	#121	—	13	1	no	—
1299	#121	—	13	1	no	—
1300	#121	—	26	1	no	—
1301	#121	—	26	1	no	—
1302	#121	—	26	1	no	—
1303	#121	—	26	1	no	—
1304	#121	—	26	1	no	—
1305	#121	—	26	1	no	—
1306	#121	—	26	1	no	—
1307	#121	—	26	1	no	—
1308	#121	—	26	1	no	—
1309	#121	—	26	1	no	—
1310	#121	—	26	1	no	—
1311	#121	—	26	1	no	—
1312	#121	—	26	1	no	—
1313	#121	—	26	1	no	—
1314	#121	—	26	1	no	—
1315	#121	—	26	1	no	—
1316	#121	—	26	1	no	—
1317	#121	—	26	1	no	—
1318	#121	C₂²×D₁₃	1	1	yes	characteristic
1319	#121	C₂²×D₁₃	1	1	yes	characteristic
1320	#121	C₂²×D₁₃	1	1	yes	characteristic
1321	#120	—	2	1	no	—
1322	#120	—	2	1	no	—
1323	#120	—	13	1	no	—
1324	#120	—	13	1	no	—
1325	#120	—	26	1	no	—
1326	#120	—	26	1	no	—
1327	#120	—	26	1	no	—
1328	#120	—	26	1	no	—
1329	#120	—	26	1	no	—
1330	#120	—	26	1	no	—
1331	#120	—	26	1	no	—
1332	#120	—	26	1	no	—
1333	#120	—	26	1	no	—
1334	#120	—	26	1	no	—
1335	#120	—	26	1	no	—
1336	C₄×Q₈	—	13	1	no	—
1337	C₄×Q₈	—	13	1	no	—
1338	C₄×Q₈	—	13	1	no	—
1339	C₄×Q₈	—	26	1	no	—
1340	C₄×Q₈	—	26	1	no	—
1341	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1342	C₄×D₄	—	2	1	no	—
1343	C₄×D₄	—	13	1	no	—
1344	C₄×D₄	—	13	1	no	—
1345	C₄×D₄	—	13	1	no	—
1346	C₄×D₄	—	13	1	no	—
1347	C₄×D₄	—	13	1	no	—
1348	C₄×D₄	—	13	1	no	—
1349	C₄×D₄	—	26	1	no	—
1350	C₄×D₄	—	26	1	no	—
1351	C₄×D₄	—	26	1	no	—
1352	C₄×D₄	—	26	1	no	—
1353	C₄×D₄	—	26	1	no	—
1354	C₄×D₄	—	26	1	no	—
1355	C₄×D₄	—	26	1	no	—
1356	C₄×D₄	—	26	1	no	—
1357	C₄×D₄	—	26	1	no	—
1358	C₄×D₄	—	26	1	no	—
1359	C₄×D₄	—	26	1	no	—
1360	C₄×D₄	—	26	1	no	—
1361	C₄×D₄	—	26	1	no	—
1362	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1363	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1364	#117	—	13	1	no	—
1365	#117	—	13	1	no	—
1366	#117	—	13	1	no	—
1367	#117	—	13	1	no	—
1368	#117	—	26	1	no	—
1369	#117	—	26	1	no	—
1370	C₂×C₄⋊C₄	—	13	1	no	—
1371	C₂×C₄⋊C₄	—	13	1	no	—
1372	C₂×C₂²⋊C₄	—	26	1	no	—
1373	C₂×C₂²⋊C₄	—	26	1	no	—
1374	#107	—	13	1	no	—
1375	#107	—	13	1	no	—
1376	#107	—	13	1	no	—
1377	#107	C₂²×D₁₃	1	1	yes	characteristic
1378	#106	—	13	1	no	—
1379	#106	—	13	1	no	—
1380	#106	—	13	1	no	—
1381	#106	—	13	1	no	—
1382	C₄⋊C₈	—	13	1	no	—
1383	C₄⋊C₈	—	13	1	no	—
1384	C₄⋊C₈	—	13	1	no	—
1385	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1386	#103	—	13	1	no	—
1387	#103	—	13	1	no	—
1388	#103	—	13	1	no	—
1389	#103	—	13	1	no	—
1390	#103	—	13	1	no	—
1391	#103	—	13	1	no	—
1392	#103	—	13	1	no	—
1393	#103	—	13	1	no	—
1394	#103	—	13	1	no	—
1395	#103	—	13	1	no	—
1396	#103	—	13	1	no	—
1397	#103	—	13	1	no	—
1398	#103	—	13	1	no	—
1399	#103	—	13	1	no	—
1400	#103	—	13	1	no	—
1401	#103	—	13	1	no	—
1402	#103	—	13	1	no	—
1403	#103	—	13	1	no	—
1404	#103	C₂²×D₁₃	1	1	yes	characteristic
1405	#103	C₂²×D₁₃	1	1	yes	characteristic
1406	#102	—	13	1	no	—
1407	#102	—	13	1	no	—
1408	#102	—	13	1	no	—
1409	#102	—	13	1	no	—
1410	#102	—	13	1	no	—
1411	#102	—	13	1	no	—
1412	#102	—	13	1	no	—
1413	#102	—	13	1	no	—
1414	#102	C₂²×D₁₃	1	1	yes	characteristic
1415	#102	C₂²×D₁₃	1	1	yes	characteristic
1416	#102	C₂²×D₁₃	1	1	yes	characteristic
1417	#102	C₂²×D₁₃	1	1	yes	characteristic
1418	C₂²⋊C₈	—	13	1	no	—
1419	C₂²⋊C₈	—	13	1	no	—
1420	C₂²⋊C₈	—	13	1	no	—
1421	C₂²⋊C₈	—	13	1	no	—
1422	C₂²⋊C₈	—	13	1	no	—
1423	C₂²⋊C₈	—	13	1	no	—
1424	C₂²⋊C₈	—	13	1	no	—
1425	C₂²⋊C₈	—	13	1	no	—
1426	C₂²⋊C₈	—	13	1	no	—
1427	C₂²⋊C₈	—	13	1	no	—
1428	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1429	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1430	#97	—	13	1	no	—
1431	#97	C₂²×D₁₃	1	1	yes	characteristic
1432	C₄×C₈	—	13	1	no	—
1433	C₄×C₈	—	13	1	no	—
1434	C₂×C₁₃	—	2	2	no	—
1435	C₂×C₁₃	—	4	1	no	—
1436	C₂×C₁₃	—	8	1	no	—
1437	C₂×C₁₃	—	8	1	no	—
1438	C₂×C₁₃	—	8	1	no	—
1439	C₂×C₁₃	—	8	1	no	—
1440	C₂×C₁₃	#3484	1	1	yes	characteristic
1441	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1442	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1443	D₁₃	—	2	2	no	—
1444	D₁₃	—	4	1	no	—
1445	D₁₃	—	4	1	no	—
1446	D₁₃	—	8	1	no	—
1447	C₂⁴	—	2	1	no	—
1448	C₂⁴	—	2	1	no	—
1449	C₂⁴	—	13	1	no	—
1450	C₂⁴	—	26	1	no	—
1451	C₂⁴	—	26	1	no	—
1452	#41	—	2	2	no	—
1453	#41	—	4	1	no	—
1454	#41	—	26	2	no	—
1455	#41	—	52	1	no	—
1456	#41	—	52	1	no	—
1457	#41	—	52	4	no	—
1458	#41	—	52	1	no	—
1459	#41	—	52	1	no	—
1460	#41	—	52	1	no	—
1461	#41	—	52	4	no	—
1462	#41	—	52	4	no	—
1463	C₂×Q₈	—	2	1	no	—
1464	C₂×Q₈	—	2	2	no	—
1465	C₂×Q₈	—	4	1	no	—
1466	C₂×Q₈	—	13	1	no	—
1467	C₂×Q₈	—	13	1	no	—
1468	C₂×Q₈	—	13	1	no	—
1469	C₂×Q₈	—	13	1	no	—
1470	C₂×Q₈	—	26	1	no	—
1471	C₂×Q₈	—	26	1	no	—
1472	C₂×Q₈	—	26	1	no	—
1473	C₂×Q₈	—	26	1	no	—
1474	C₂×Q₈	—	26	1	no	—
1475	C₂×Q₈	—	26	2	no	—
1476	C₂×Q₈	—	26	2	no	—
1477	C₂×Q₈	—	26	2	no	—
1478	C₂×Q₈	—	26	2	no	—
1479	C₂×Q₈	—	26	1	no	—
1480	C₂×Q₈	—	26	1	no	—
1481	C₂×Q₈	—	26	2	no	—
1482	C₂×Q₈	—	26	2	no	—
1483	C₂×Q₈	—	26	2	no	—
1484	C₂×Q₈	—	52	1	no	—
1485	C₂×Q₈	—	52	1	no	—
1486	C₂×Q₈	—	52	4	no	—
1487	C₂×Q₈	—	52	4	no	—
1488	C₂×Q₈	—	52	1	no	—
1489	C₂×Q₈	—	52	1	no	—
1490	C₂×Q₈	—	52	1	no	—
1491	C₂×Q₈	—	52	1	no	—
1492	C₂×Q₈	—	52	1	no	—
1493	C₂×Q₈	—	52	4	no	—
1494	C₂×Q₈	—	52	4	no	—
1495	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1496	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	2	1	no	—
1499	C₂×D₄	—	2	1	no	—
1500	C₂×D₄	—	2	1	no	—
1501	C₂×D₄	—	2	1	no	—
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	4	1	no	—
1506	C₂×D₄	—	4	1	no	—
1507	C₂×D₄	—	4	1	no	—
1508	C₂×D₄	—	4	1	no	—
1509	C₂×D₄	—	8	2	no	—
1510	C₂×D₄	—	13	1	no	—
1511	C₂×D₄	—	13	1	no	—
1512	C₂×D₄	—	13	1	no	—
1513	C₂×D₄	—	13	1	no	—
1514	C₂×D₄	—	13	1	no	—
1515	C₂×D₄	—	13	1	no	—
1516	C₂×D₄	—	13	1	no	—
1517	C₂×D₄	—	26	1	no	—
1518	C₂×D₄	—	26	1	no	—
1519	C₂×D₄	—	26	1	no	—
1520	C₂×D₄	—	26	1	no	—
1521	C₂×D₄	—	26	1	no	—
1522	C₂×D₄	—	26	1	no	—
1523	C₂×D₄	—	26	1	no	—
1524	C₂×D₄	—	26	1	no	—
1525	C₂×D₄	—	26	1	no	—
1526	C₂×D₄	—	26	1	no	—
1527	C₂×D₄	—	26	1	no	—
1528	C₂×D₄	—	26	1	no	—
1529	C₂×D₄	—	26	1	no	—
1530	C₂×D₄	—	26	1	no	—
1531	C₂×D₄	—	26	1	no	—
1532	C₂×D₄	—	26	1	no	—
1533	C₂×D₄	—	26	1	no	—
1534	C₂×D₄	—	52	1	no	—
1535	C₂×D₄	—	52	1	no	—
1536	C₂×D₄	—	52	1	no	—
1537	C₂×D₄	—	52	1	no	—
1538	C₂×D₄	—	104	2	no	—
1539	C₂×D₄	—	104	2	no	—
1540	C₂×D₄	—	104	2	no	—
1541	C₂×D₄	—	104	2	no	—
1542	C₂×D₄	—	104	2	no	—
1543	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1544	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1545	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1546	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1547	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1548	C₂²×C₄	—	2	1	no	—
1549	C₂²×C₄	—	2	1	no	—
1550	C₂²×C₄	—	2	1	no	—
1551	C₂²×C₄	—	13	1	no	—
1552	C₂²×C₄	—	13	1	no	—
1553	C₂²×C₄	—	13	1	no	—
1554	C₂²×C₄	—	13	1	no	—
1555	C₂²×C₄	—	13	1	no	—
1556	C₂²×C₄	—	13	1	no	—
1557	C₂²×C₄	—	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	—	52	1	no	—
1572	C₂²×C₄	—	52	1	no	—
1573	C₂²×C₄	—	52	4	no	—
1574	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1575	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1576	SD₁₆	—	2	2	no	—
1577	SD₁₆	—	2	2	no	—
1578	SD₁₆	—	2	2	no	—
1579	SD₁₆	—	4	1	no	—
1580	SD₁₆	—	4	1	no	—
1581	SD₁₆	—	4	1	no	—
1582	SD₁₆	—	26	2	no	—
1583	SD₁₆	—	26	2	no	—
1584	SD₁₆	—	26	2	no	—
1585	SD₁₆	—	26	2	no	—
1586	SD₁₆	—	26	2	no	—
1587	SD₁₆	—	52	1	no	—
1588	SD₁₆	—	52	1	no	—
1589	SD₁₆	—	52	1	no	—
1590	SD₁₆	—	52	1	no	—
1591	SD₁₆	—	52	1	no	—
1592	SD₁₆	—	52	1	no	—
1593	SD₁₆	—	52	1	no	—
1594	SD₁₆	—	52	1	no	—
1595	SD₁₆	—	52	1	no	—
1596	D₈	—	4	1	no	—
1597	D₈	—	4	1	no	—
1598	D₈	—	4	1	no	—
1599	D₈	—	52	1	no	—
1600	M₁₆	—	4	1	no	—
1601	M₁₆	—	52	1	no	—
1602	C₂×C₈	—	4	1	no	—
1603	C₂×C₈	—	13	1	no	—
1604	C₂×C₈	—	13	1	no	—
1605	C₂×C₈	—	13	1	no	—
1606	C₂×C₈	—	13	1	no	—
1607	C₂×C₈	—	52	1	no	—
1608	C₂×C₈	—	52	1	no	—
1609	C₂×C₈	—	52	1	no	—
1610	C₂×C₈	—	52	1	no	—
1611	C₂×C₈	—	52	1	no	—
1612	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1613	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1614	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1615	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	—	2	1	no	—
1618	C₄⋊C₄	—	13	1	no	—
1619	C₄⋊C₄	—	13	1	no	—
1620	C₄⋊C₄	—	13	1	no	—
1621	C₄⋊C₄	—	13	1	no	—
1622	C₄⋊C₄	—	13	1	no	—
1623	C₄⋊C₄	—	13	1	no	—
1624	C₄⋊C₄	—	13	1	no	—
1625	C₄⋊C₄	—	13	1	no	—
1626	C₄⋊C₄	—	13	1	no	—
1627	C₄⋊C₄	—	26	1	no	—
1628	C₄⋊C₄	—	26	1	no	—
1629	C₄⋊C₄	—	26	1	no	—
1630	C₄⋊C₄	—	26	1	no	—
1631	C₄⋊C₄	—	26	1	no	—
1632	C₄⋊C₄	—	26	1	no	—
1633	C₄⋊C₄	—	26	1	no	—
1634	C₄⋊C₄	—	26	1	no	—
1635	C₄⋊C₄	—	26	1	no	—
1636	C₄⋊C₄	—	26	1	no	—
1637	C₄⋊C₄	—	26	1	no	—
1638	C₄⋊C₄	—	26	1	no	—
1639	C₄⋊C₄	—	26	1	no	—
1640	C₄⋊C₄	—	26	1	no	—
1641	C₄⋊C₄	—	26	1	no	—
1642	C₄⋊C₄	—	26	1	no	—
1643	C₄⋊C₄	—	26	1	no	—
1644	C₄⋊C₄	—	26	1	no	—
1645	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1646	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1647	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	2	1	no	—
1651	C₂²⋊C₄	—	2	1	no	—
1652	C₂²⋊C₄	—	2	1	no	—
1653	C₂²⋊C₄	—	2	1	no	—
1654	C₂²⋊C₄	—	2	1	no	—
1655	C₂²⋊C₄	—	13	1	no	—
1656	C₂²⋊C₄	—	13	1	no	—
1657	C₂²⋊C₄	—	13	1	no	—
1658	C₂²⋊C₄	—	13	1	no	—
1659	C₂²⋊C₄	—	13	1	no	—
1660	C₂²⋊C₄	—	13	1	no	—
1661	C₂²⋊C₄	—	13	1	no	—
1662	C₂²⋊C₄	—	13	1	no	—
1663	C₂²⋊C₄	—	26	1	no	—
1664	C₂²⋊C₄	—	26	1	no	—
1665	C₂²⋊C₄	—	26	1	no	—
1666	C₂²⋊C₄	—	26	1	no	—
1667	C₂²⋊C₄	—	26	1	no	—
1668	C₂²⋊C₄	—	26	1	no	—
1669	C₂²⋊C₄	—	26	1	no	—
1670	C₂²⋊C₄	—	26	1	no	—
1671	C₂²⋊C₄	—	26	1	no	—
1672	C₂²⋊C₄	—	26	1	no	—
1673	C₂²⋊C₄	—	26	1	no	—
1674	C₂²⋊C₄	—	26	1	no	—
1675	C₂²⋊C₄	—	26	1	no	—
1676	C₂²⋊C₄	—	26	1	no	—
1677	C₂²⋊C₄	—	26	1	no	—
1678	C₂²⋊C₄	—	26	1	no	—
1679	C₂²⋊C₄	—	26	1	no	—
1680	C₂²⋊C₄	—	26	1	no	—
1681	C₂²⋊C₄	—	26	1	no	—
1682	C₂²⋊C₄	—	26	1	no	—
1683	C₂²⋊C₄	—	26	1	no	—
1684	C₂²⋊C₄	—	26	1	no	—
1685	C₂²⋊C₄	—	26	1	no	—
1686	C₂²⋊C₄	—	26	1	no	—
1687	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1688	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1689	C₄²	—	2	1	no	—
1690	C₄²	—	13	1	no	—
1691	C₄²	—	26	1	no	—
1692	C₄²	—	26	1	no	—
1693	C₄²	—	26	1	no	—
1694	C₄²	—	26	1	no	—
1695	C₄²	—	26	1	no	—
1696	C₄²	—	26	1	no	—
1697	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1698	C₁₃	#61633	1	1	yes	characteristic, complemented, Sylow
1699	C₂³	—	2	1	no	—
1700	C₂³	—	2	1	no	—
1701	C₂³	—	2	1	no	—
1702	C₂³	—	2	1	no	—
1703	C₂³	—	4	2	no	—
1704	C₂³	—	8	1	no	—
1705	C₂³	—	8	1	no	—
1706	C₂³	—	8	1	no	—
1707	C₂³	—	8	1	no	—
1708	C₂³	—	8	1	no	—
1709	C₂³	—	13	1	no	—
1710	C₂³	—	13	1	no	—
1711	C₂³	—	13	1	no	—
1712	C₂³	—	26	2	no	—
1713	C₂³	—	26	2	no	—
1714	C₂³	—	26	1	no	—
1715	C₂³	—	52	1	no	—
1716	C₂³	—	52	2	no	—
1717	C₂³	—	104	1	no	—
1718	C₂³	—	104	1	no	—
1719	C₂³	—	104	1	no	—
1720	C₂³	—	104	1	no	—
1721	C₂³	—	104	1	no	—
1722	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1723	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1724	Q₈	—	2	1	no	—
1725	Q₈	—	2	1	no	—
1726	Q₈	—	2	1	no	—
1727	Q₈	—	4	2	no	—
1728	Q₈	—	13	2	no	—
1729	Q₈	—	26	4	no	—
1730	Q₈	—	26	1	no	—
1731	Q₈	—	26	1	no	—
1732	Q₈	—	26	1	no	—
1733	Q₈	—	26	1	no	—
1734	Q₈	—	26	1	no	—
1735	Q₈	—	52	1	no	—
1736	Q₈	—	52	2	no	—
1737	Q₈	—	52	2	no	—
1738	Q₈	—	52	2	no	—
1739	Q₈	—	52	2	no	—
1740	Q₈	—	52	2	no	—
1741	Q₈	—	52	2	no	—
1742	Q₈	#88251	1	2	yes	—
1743	D₄	—	2	2	no	—
1744	D₄	—	2	1	no	—
1745	D₄	—	2	1	no	—
1746	D₄	—	2	1	no	—
1747	D₄	—	2	1	no	—
1748	D₄	—	2	1	no	—
1749	D₄	—	2	1	no	—
1750	D₄	—	2	1	no	—
1751	D₄	—	2	1	no	—
1752	D₄	—	4	2	no	—
1753	D₄	—	4	2	no	—
1754	D₄	—	4	2	no	—
1755	D₄	—	8	1	no	—
1756	D₄	—	8	1	no	—
1757	D₄	—	8	1	no	—
1758	D₄	—	8	1	no	—
1759	D₄	—	8	1	no	—
1760	D₄	—	26	2	no	—
1761	D₄	—	26	2	no	—
1762	D₄	—	26	2	no	—
1763	D₄	—	26	1	no	—
1764	D₄	—	26	1	no	—
1765	D₄	—	52	1	no	—
1766	D₄	—	52	1	no	—
1767	D₄	—	52	1	no	—
1768	D₄	—	52	2	no	—
1769	D₄	—	52	2	no	—
1770	D₄	—	52	2	no	—
1771	D₄	—	52	2	no	—
1772	D₄	—	52	2	no	—
1773	D₄	—	52	2	no	—
1774	D₄	—	104	1	no	—
1775	D₄	—	104	1	no	—
1776	D₄	—	104	1	no	—
1777	D₄	—	104	1	no	—
1778	D₄	—	104	1	no	—
1779	D₄	—	104	1	no	—
1780	D₄	—	104	1	no	—
1781	D₄	—	104	1	no	—
1782	D₄	—	104	1	no	—
1783	D₄	—	104	1	no	—
1784	D₄	—	104	1	no	—
1785	C₂×C₄	—	2	1	no	—
1786	C₂×C₄	—	2	1	no	—
1787	C₂×C₄	—	2	1	no	—
1788	C₂×C₄	—	2	1	no	—
1789	C₂×C₄	—	2	1	no	—
1790	C₂×C₄	—	2	1	no	—
1791	C₂×C₄	—	2	1	no	—
1792	C₂×C₄	—	2	1	no	—
1793	C₂×C₄	—	4	2	no	—
1794	C₂×C₄	—	4	2	no	—
1795	C₂×C₄	—	8	1	no	—
1796	C₂×C₄	—	13	1	no	—
1797	C₂×C₄	—	13	1	no	—
1798	C₂×C₄	—	13	1	no	—
1799	C₂×C₄	—	13	1	no	—
1800	C₂×C₄	—	13	1	no	—
1801	C₂×C₄	—	26	4	no	—
1802	C₂×C₄	—	26	1	no	—
1803	C₂×C₄	—	26	1	no	—
1804	C₂×C₄	—	26	1	no	—
1805	C₂×C₄	—	26	1	no	—
1806	C₂×C₄	—	26	1	no	—
1807	C₂×C₄	—	26	1	no	—
1808	C₂×C₄	—	26	1	no	—
1809	C₂×C₄	—	26	1	no	—
1810	C₂×C₄	—	26	1	no	—
1811	C₂×C₄	—	26	1	no	—
1812	C₂×C₄	—	26	1	no	—
1813	C₂×C₄	—	26	1	no	—
1814	C₂×C₄	—	26	1	no	—
1815	C₂×C₄	—	52	1	no	—
1816	C₂×C₄	—	52	1	no	—
1817	C₂×C₄	—	52	2	no	—
1818	C₂×C₄	—	52	2	no	—
1819	C₂×C₄	—	52	2	no	—
1820	C₂×C₄	—	52	2	no	—
1821	C₂×C₄	—	52	1	no	—
1822	C₂×C₄	—	52	2	no	—
1823	C₂×C₄	—	52	2	no	—
1824	C₂×C₄	—	52	2	no	—
1825	C₂×C₄	—	52	2	no	—
1826	C₂×C₄	—	104	1	no	—
1827	C₂×C₄	—	104	1	no	—
1828	C₂×C₄	—	104	1	no	—
1829	C₂×C₄	—	104	1	no	—
1830	C₂×C₄	—	104	1	no	—
1831	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1832	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1833	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1834	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1835	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1836	C₈	—	2	1	no	—
1837	C₈	—	2	1	no	—
1838	C₈	—	2	1	no	—
1839	C₈	—	2	1	no	—
1840	C₈	—	26	1	no	—
1841	C₈	—	26	1	no	—
1842	C₈	—	26	1	no	—
1843	C₈	—	26	1	no	—
1844	C₂²	—	2	1	no	—
1845	C₂²	—	2	1	no	—
1846	C₂²	—	2	1	no	—
1847	C₂²	—	2	1	no	—
1848	C₂²	—	2	1	no	—
1849	C₂²	—	4	1	no	—
1850	C₂²	—	4	1	no	—
1851	C₂²	—	4	1	no	—
1852	C₂²	—	4	1	no	—
1853	C₂²	—	4	1	no	—
1854	C₂²	—	4	1	no	—
1855	C₂²	—	4	1	no	—
1856	C₂²	—	4	1	no	—
1857	C₂²	—	4	1	no	—
1858	C₂²	—	4	1	no	—
1859	C₂²	—	4	1	no	—
1860	C₂²	—	4	1	no	—
1861	C₂²	—	13	2	no	—
1862	C₂²	—	16	2	no	—
1863	C₂²	—	16	2	no	—
1864	C₂²	—	26	1	no	—
1865	C₂²	—	26	1	no	—
1866	C₂²	—	26	1	no	—
1867	C₂²	—	26	1	no	—
1868	C₂²	—	26	1	no	—
1869	C₂²	—	26	1	no	—
1870	C₂²	—	26	1	no	—
1871	C₂²	—	26	1	no	—
1872	C₂²	—	52	4	no	—
1873	C₂²	—	52	1	no	—
1874	C₂²	—	52	1	no	—
1875	C₂²	—	52	1	no	—
1876	C₂²	—	208	2	no	—
1877	C₂²	—	208	2	no	—
1878	C₂²	#11719480	1	2	yes	—
1879	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1880	C₄	—	2	1	no	—
1881	C₄	—	2	1	no	—
1882	C₄	—	2	2	no	—
1883	C₄	—	2	1	no	—
1884	C₄	—	2	1	no	—
1885	C₄	—	4	1	no	—
1886	C₄	—	4	1	no	—
1887	C₄	—	4	1	no	—
1888	C₄	—	26	1	no	—
1889	C₄	—	26	1	no	—
1890	C₄	—	26	1	no	—
1891	C₄	—	26	2	no	—
1892	C₄	—	26	1	no	—
1893	C₄	—	26	1	no	—
1894	C₄	—	52	1	no	—
1895	C₄	—	52	1	no	—
1896	C₄	—	52	1	no	—
1897	C₄	—	52	1	no	—
1898	C₄	—	52	1	no	—
1899	C₄	—	52	1	no	—
1900	C₄	C₂×#88251	1	1	yes	characteristic
1901	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1902	C₂	—	2	2	no	—
1903	C₂	—	4	1	no	—
1904	C₂	—	8	1	no	—
1905	C₂	—	8	1	no	—
1906	C₂	—	8	1	no	—
1907	C₂	—	8	1	no	—
1908	C₂	—	26	2	no	—
1909	C₂	—	52	1	no	—
1910	C₂	—	52	1	no	—
1911	C₂	—	104	1	no	—
1912	C₂	#13128464	1	1	yes	characteristic
1913	C₂	D₁₃×#577	1	1	yes	characteristic
1914	C₂	C₂×#11719480	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×#3265	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3265	D₁₃
hypocenter	C₁₃	#61633
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3265

Complements

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

N	H ≅ G/N	type
1. #13129067	C₂	semidirect
2. #13128482	C₂	semidirect
3. #13127012	C₂	semidirect
4. #13127011	C₂	semidirect
5. #13127009	C₂	semidirect
6. #13127002	C₂	semidirect
7. #13126745	C₂	semidirect
8. #13126744	C₂	semidirect
9. #13126738	C₂	semidirect
10. #13126731	C₂	semidirect
11. #13126530	C₂	semidirect
12. D₄×#6105	C₂	semidirect
13. #13126527	C₂	semidirect
14. SD₁₆×C₂²⋊D₁₃	C₂	semidirect
15. #13126335	C₂	semidirect
16. #13126330	C₂	semidirect
17. #13126325	C₂	semidirect
18. #13125894	C₂	semidirect
19. #13125892	C₂	semidirect
20. #13125705	C₂	semidirect
21. #13125704	C₂	semidirect
22. #13125598	C₂	semidirect
23. #13125596	C₂	semidirect
24. #13125126	C₂	semidirect
25. #13125125	C₂	semidirect
26. #13124121	C₂	semidirect
27. #13124119	C₂	semidirect
28. C₂×#11718831	C₂	semidirect
29. D₁₃×#448	C₂	semidirect
30. #13123887	C₂	semidirect
31. C₁₃×#3265	C₂	semidirect
32. C₂×#88257	C₂²	semidirect
33. C₂²×Q₈×D₁₃	C₂²	semidirect
34. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
35. C₂²×C₁₃×SD₁₆	C₂²	semidirect
36. C₁₃×#548	C₂²	semidirect
38. #11719536	C₂²	semidirect
39. Q₈×C₂²⋊D₁₃	C₂²	semidirect
46. C₂²×#6105	C₂²	semidirect
47. C₂²×#6105	C₂²	semidirect
48. C₂×SD₁₆×D₁₃	C₂²	semidirect
49. C₂×SD₁₆×D₁₃	C₂²	semidirect
50. C₂×SD₁₆×D₁₃	C₂²	semidirect
51. C₂×#88165	C₂²	semidirect
55. #11719382	C₂²	semidirect
57. #11719380	C₂²	semidirect
59. #11719337	C₂²	semidirect
61. #11719333	C₂²	semidirect
68. #11719311	C₂²	semidirect
71. #11719303	C₂²	semidirect
76. Q₈×D₅₂	C₂²	semidirect
77. #11719277	C₂²	semidirect
84. D₄×Dic₂₆	C₂²	semidirect
85. C₁₃×#496	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#466	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#460	C₂²	semidirect
90. C₁₃×#450	C₂²	semidirect
91. C₁₃×#449	C₂²	semidirect
92. C₁₃×#448	C₂²	semidirect
93. C₁₃×#447	C₂²	semidirect
94. C₁₃×#440	C₂²	semidirect
95. C₁₃×#435	C₂²	semidirect
96. #11718899	C₂²	semidirect
97. #11718894	C₂²	semidirect
98. #11718888	C₂²	semidirect
99. C₂×#88075	C₂²	semidirect
100. #11718879	C₂²	semidirect
101. #11718879	C₂²	semidirect
102. #11718836	C₂²	semidirect
103. #11718835	C₂²	semidirect
104. #11718832	C₂²	semidirect
105. #11718831	C₂²	semidirect
106. #11718831	C₂²	semidirect
107. #11718831	C₂²	semidirect
108. #11718831	C₂²	semidirect
109. #11718831	C₂²	semidirect
110. #11718831	C₂²	semidirect
111. #11718831	C₂²	semidirect
112. #11718831	C₂²	semidirect
113. #11718831	C₂²	semidirect
114. #11718831	C₂²	semidirect
115. #11718831	C₂²	semidirect
116. #11718831	C₂²	semidirect
117. #11718830	C₂²	semidirect
118. #11718825	C₂²	semidirect
119. #11718824	C₂²	semidirect
120. #11718823	C₂²	semidirect
121. #11718823	C₂²	semidirect
122. SD₁₆×Dic₁₃	C₂²	semidirect
123. #11718819	C₂²	semidirect
124. #11718819	C₂²	semidirect
125. #11718819	C₂²	semidirect
126. #11718819	C₂²	semidirect
127. #11718819	C₂²	semidirect
128. #11718818	C₂²	semidirect
129. #11718818	C₂²	semidirect
130. #11718817	C₂²	semidirect
131. #11718815	C₂²	semidirect
132. #11718814	C₂²	semidirect
133. #11718814	C₂²	semidirect
134. #11718795	C₂²	semidirect
135. #11718790	C₂²	semidirect
136. #11718788	C₂²	semidirect
137. #11718781	C₂²	semidirect
138. #11718775	C₂²	semidirect
139. C₈×C₂²⋊D₁₃	C₂²	semidirect
140. C₂×#88060	C₂²	semidirect
141. C₂×#88056	C₂²	semidirect
142. #11718737	C₂²	semidirect
143. #11718736	C₂²	semidirect
144. #11718718	C₂²	semidirect
145. #11718717	C₂²	semidirect
146. #11718709	C₂²	semidirect
147. #11718706	C₂²	semidirect
148. #11718702	C₂²	semidirect
149. #11718702	C₂²	semidirect
150. #11718701	C₂²	semidirect
151. #11718701	C₂²	semidirect
152. #11718699	C₂²	semidirect
153. #11718695	C₂²	semidirect
154. C₄×#6106	C₂²	semidirect
155. #11718683	C₂²	semidirect
156. #11718680	C₂²	semidirect
157. C₄×#6105	C₂²	semidirect
158. D₄×#1055	C₂²	semidirect
159. #11718549	C₂²	semidirect
160. #11718546	C₂²	semidirect
161. #11718545	C₂²	semidirect
162. #11718538	C₂²	semidirect
163. #11718502	C₂²	semidirect
164. #11718501	C₂²	semidirect
165. #11718495	C₂²	semidirect
166. #11718490	C₂²	semidirect
167. #11718475	C₂²	semidirect
168. #11718467	C₂²	semidirect
169. #11718467	C₂²	semidirect
170. #11718463	C₂²	semidirect
171. D₁₃×#103	C₂²	semidirect
172. D₁₃×#103	C₂²	semidirect
173. #11718458	C₂²	semidirect
174. #11718457	C₂²	semidirect
175. #11718445	C₂²	semidirect
176. #11718445	C₂²	semidirect
177. #11718442	C₂²	semidirect
178. #11718441	C₂²	semidirect
179. #11718440	C₂²	semidirect
180. #11718439	C₂²	semidirect
181. #11718439	C₂²	semidirect
182. #11718439	C₂²	semidirect
183. #11718438	C₂²	semidirect
184. #11718437	C₂²	semidirect
185. #11718437	C₂²	semidirect
186. #11718433	C₂²	semidirect
187. #11718429	C₂²	semidirect
188. #11718423	C₂²	semidirect
189. #11718419	C₂²	semidirect
190. #11718418	C₂²	semidirect
191. #11718399	C₂²	semidirect
192. #11718399	C₂²	semidirect
193. #11718391	C₂²	semidirect
194. #11718388	C₂²	semidirect
195. #11718386	C₂²	semidirect
196. D₁₃×C₂²⋊C₈	C₂²	semidirect
197. #11718384	C₂²	semidirect
198. #11718383	C₂²	semidirect
199. #11718371	C₂²	semidirect
200. #11718370	C₂²	semidirect
201. #11718367	C₂²	semidirect
202. #11718364	C₂²	semidirect
759. #3265	D₁₃	semidirect
921. C₂×AGL(1,ℤ/8)	C₂×D₁₃	semidirect
927. C₂²×SD₁₆	C₂×D₁₃	semidirect
945. #548	C₂×D₁₃	semidirect
972. #496	C₂×D₁₃	semidirect
998. #468	C₂×D₁₃	semidirect
1002. #466	C₂×D₁₃	semidirect
1014. #463	C₂×D₁₃	semidirect
1022. #460	C₂×D₁₃	semidirect
1028. #450	C₂×D₁₃	semidirect
1036. #449	C₂×D₁₃	semidirect
1056. #448	C₂×D₁₃	semidirect
1058. #447	C₂×D₁₃	semidirect
1062. #440	C₂×D₁₃	semidirect
1070. #435	C₂×D₁₃	semidirect
1698. C₁₃	#61633	semidirect

Maximal subgroups

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

subgroup	index
#13129067	2
#13128482	2
#13127012	2
#13127011	2
#13127009	2
#13127002	2
#13126745	2
#13126744	2
#13126738	2
#13126731	2
#13126530	2
D₄×#6105	2
#13126527	2
SD₁₆×C₂²⋊D₁₃	2
#13126335	2
#13126330	2
#13126325	2
#13125894	2
#13125892	2
#13125705	2
#13125704	2
#13125598	2
#13125596	2
#13125126	2
#13125125	2
#13124121	2
#13124119	2
C₂×#11718831	2
D₁₃×#448	2
#13123887	2
C₁₃×#3265	2
#61633	13