Subgroups — #16756323

Order 3328.

1856 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129429	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128784	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127924	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127901	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127629	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127558	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127028	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126994	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126906	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126867	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126779	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126764	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126541	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126517	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126376	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126325	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126320	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126257	C₂	1	1	yes	maximal, characteristic, complemented
19	#13126244	C₂	1	1	yes	maximal, characteristic, complemented
20	#13126157	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125940	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125936	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125828	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125082	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125078	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124946	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124343	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124341	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124287	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123976	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3267	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#546	C₂²	1	1	yes	characteristic
36	#11719539	C₂²	1	1	yes	characteristic, complemented
37	#11719537	C₂²	1	1	yes	characteristic, complemented
38	#11719536	C₂²	1	1	yes	characteristic
39	#11719535	C₂²	1	1	yes	characteristic, complemented
40	#11719534	C₂²	1	1	yes	characteristic, complemented
41	#41×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88204	C₂²	1	1	yes	characteristic
43	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
44	#11719503	C₂²	1	1	yes	characteristic
45	C₂²×#6104	C₂²	1	1	yes	characteristic
46	C₂×#88168	C₂²	1	1	yes	characteristic
47	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
48	#11719437	C₂²	1	1	yes	characteristic, complemented
49	#11719429	C₂²	1	1	yes	characteristic, complemented
50	#11719387	C₂²	1	1	yes	characteristic, complemented
51	#11719386	C₂²	1	1	yes	characteristic, complemented
52	#11719372	—	2	1	no	—
53	#11719368	—	2	1	no	—
54	#11719364	—	2	1	no	—
55	#11719363	—	2	1	no	—
56	#11719362	—	2	1	no	—
57	#11719354	—	2	1	no	—
58	#11719348	C₂²	1	1	yes	characteristic
59	#11719346	C₂²	1	1	yes	characteristic
60	#11719338	C₂²	1	1	yes	characteristic, complemented
61	#11719335	C₂²	1	1	yes	characteristic
62	#11719330	C₂²	1	1	yes	characteristic, complemented
63	#11719329	C₂²	1	1	yes	characteristic, complemented
64	#11719325	—	2	1	no	—
65	#11719322	—	2	1	no	—
66	#11719321	C₂²	1	1	yes	characteristic, complemented
67	#11719318	—	2	1	no	—
68	#11719303	—	2	1	no	—
69	#11719301	C₂²	1	1	yes	characteristic, complemented
70	#11719298	—	2	1	no	—
71	#11719296	—	2	1	no	—
72	#11719268	C₂²	1	1	yes	characteristic
73	#11719267	C₂²	1	1	yes	characteristic, complemented
74	#11719264	C₂²	1	1	yes	characteristic, complemented
75	#11719255	C₂²	1	1	yes	characteristic, complemented
76	#11719250	C₂²	1	1	yes	characteristic, complemented
77	#11719243	C₂²	1	1	yes	characteristic
78	D₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
79	#11719220	—	2	1	no	—
80	#11719219	—	2	1	no	—
81	#11719200	—	2	1	no	—
82	C₂×#88139	—	2	1	no	—
83	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#450	C₂²	1	1	yes	characteristic
91	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
94	#11718899	C₂²	1	1	yes	characteristic
95	#11718899	C₂²	1	1	yes	characteristic
96	#11718899	C₂²	1	1	yes	characteristic, complemented
97	#11718894	C₂²	1	1	yes	characteristic, complemented
98	#11718894	C₂²	1	1	yes	characteristic, complemented
99	#11718879	C₂²	1	1	yes	characteristic
100	#11718852	C₂²	1	1	yes	characteristic, complemented
101	#11718848	C₂²	1	1	yes	characteristic, complemented
102	#11718847	C₂²	1	1	yes	characteristic, complemented
103	#11718846	C₂²	1	1	yes	characteristic, complemented
104	#11718846	C₂²	1	1	yes	characteristic, complemented
105	#11718846	C₂²	1	1	yes	characteristic, complemented
106	#11718845	C₂²	1	1	yes	characteristic, complemented
107	#11718843	C₂²	1	1	yes	characteristic, complemented
108	#11718837	C₂²	1	1	yes	characteristic
109	#11718837	C₂²	1	1	yes	characteristic, complemented
110	#11718835	C₂²	1	1	yes	characteristic, complemented
111	#11718833	C₂²	1	1	yes	characteristic
112	#11718831	C₂²	1	1	yes	characteristic, complemented
113	#11718827	C₂²	1	1	yes	characteristic, complemented
114	#11718826	C₂²	1	1	yes	characteristic
115	#11718826	C₂²	1	1	yes	characteristic
116	#11718826	C₂²	1	1	yes	characteristic
117	#11718826	C₂²	1	1	yes	characteristic, complemented
118	#11718826	C₂²	1	1	yes	characteristic, complemented
119	#11718825	C₂²	1	1	yes	characteristic, complemented
120	#11718825	C₂²	1	1	yes	characteristic, complemented
121	#11718824	C₂²	1	1	yes	characteristic, complemented
122	#11718824	C₂²	1	1	yes	characteristic, complemented
123	#11718823	C₂²	1	1	yes	characteristic, complemented
124	#11718823	C₂²	1	1	yes	characteristic, complemented
125	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
126	#11718818	C₂²	1	1	yes	characteristic, complemented
127	#11718817	C₂²	1	1	yes	characteristic, complemented
128	#11718815	C₂²	1	1	yes	characteristic, complemented
129	#11718814	C₂²	1	1	yes	characteristic, complemented
130	#11718811	C₂²	1	1	yes	characteristic
131	#11718811	C₂²	1	1	yes	characteristic
132	#11718811	C₂²	1	1	yes	characteristic, complemented
133	#11718811	C₂²	1	1	yes	characteristic, complemented
134	#11718795	C₂²	1	1	yes	characteristic
135	#11718792	C₂²	1	1	yes	characteristic, complemented
136	#11718788	C₂²	1	1	yes	characteristic
137	#11718780	C₂²	1	1	yes	characteristic, complemented
138	#11718776	C₂²	1	1	yes	characteristic, complemented
139	#11718774	C₂²	1	1	yes	characteristic, complemented
140	#11718772	C₂²	1	1	yes	characteristic, complemented
141	C₂×#88054	C₂²	1	1	yes	characteristic, complemented
142	#11718744	C₂²	1	1	yes	characteristic, complemented
143	#11718742	C₂²	1	1	yes	characteristic, complemented
144	#11718720	C₂²	1	1	yes	characteristic, complemented
145	#11718718	C₂²	1	1	yes	characteristic, complemented
146	#11718712	C₂²	1	1	yes	characteristic, complemented
147	#11718709	C₂²	1	1	yes	characteristic
148	#11718709	C₂²	1	1	yes	characteristic, complemented
149	#11718707	C₂²	1	1	yes	characteristic, complemented
150	#11718706	C₂²	1	1	yes	characteristic, complemented
151	#11718706	C₂²	1	1	yes	characteristic, complemented
152	#11718699	C₂²	1	1	yes	characteristic, complemented
153	#11718698	C₂²	1	1	yes	characteristic, complemented
154	#11718677	C₂²	1	1	yes	characteristic
155	C₄×#6104	C₂²	1	1	yes	characteristic
156	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
157	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
158	#11718669	C₂²	1	1	yes	characteristic, complemented
159	#11718532	C₂²	1	1	yes	characteristic, complemented
160	#11718531	C₂²	1	1	yes	characteristic, complemented
161	#11718527	C₂²	1	1	yes	characteristic, complemented
162	#11718515	C₂²	1	1	yes	characteristic, complemented
163	#11718507	C₂²	1	1	yes	characteristic, complemented
164	#11718505	C₂²	1	1	yes	characteristic, complemented
165	#11718500	C₂²	1	1	yes	characteristic, complemented
166	#11718492	C₂²	1	1	yes	characteristic, complemented
167	#11718480	C₂²	1	1	yes	characteristic, complemented
168	#11718479	C₂²	1	1	yes	characteristic, complemented
169	#11718478	C₂²	1	1	yes	characteristic, complemented
170	#11718468	C₂²	1	1	yes	characteristic, complemented
171	#11718465	C₂²	1	1	yes	characteristic, complemented
172	#11718463	C₂²	1	1	yes	characteristic, complemented
173	#11718459	C₂²	1	1	yes	characteristic, complemented
174	#11718457	C₂²	1	1	yes	characteristic, complemented
175	#11718456	C₂²	1	1	yes	characteristic, complemented
176	#11718456	C₂²	1	1	yes	characteristic, complemented
177	#11718455	C₂²	1	1	yes	characteristic, complemented
178	#11718455	C₂²	1	1	yes	characteristic, complemented
179	#11718447	C₂²	1	1	yes	characteristic
180	#11718447	C₂²	1	1	yes	characteristic, complemented
181	#11718446	C₂²	1	1	yes	characteristic
182	#11718443	C₂²	1	1	yes	characteristic
183	#11718440	C₂²	1	1	yes	characteristic, complemented
184	#11718434	C₂²	1	1	yes	characteristic
185	#11718427	C₂²	1	1	yes	characteristic, complemented
186	#11718426	C₂²	1	1	yes	characteristic, complemented
187	#11718424	C₂²	1	1	yes	characteristic, complemented
188	#11718421	C₂²	1	1	yes	characteristic, complemented
189	#11718419	C₂²	1	1	yes	characteristic, complemented
190	#11718418	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718395	C₂²	1	1	yes	characteristic, complemented
193	#11718393	C₂²	1	1	yes	characteristic
194	#11718391	C₂²	1	1	yes	characteristic
195	#11718386	C₂²	1	1	yes	characteristic, complemented
196	#11718384	C₂²	1	1	yes	characteristic, complemented
197	#11718381	C₂²	1	1	yes	characteristic, complemented
198	#11718380	C₂²	1	1	yes	characteristic, complemented
199	#11718375	C₂²	1	1	yes	characteristic, complemented
200	#11718372	C₂²	1	1	yes	characteristic, complemented
201	#11718370	C₂²	1	1	yes	characteristic, complemented
202	#11718362	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	C₂×#6131	C₂³	1	1	yes	characteristic
209	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
210	C₂×#6129	—	2	1	no	—
211	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×#6127	C₂³	1	1	yes	characteristic
213	C₂²×D₅₂	C₂³	1	1	yes	characteristic
214	C₂²×Dic₂₆	—	2	1	no	—
215	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
216	C₁₃×#135	—	4	2	no	—
217	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
227	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
229	C₁₃×#124	C₂³	1	1	yes	characteristic
230	C₁₃×#123	—	2	1	no	—
231	C₁₃×#123	—	2	1	no	—
232	C₁₃×#123	—	2	1	no	—
233	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
234	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₃×#121	—	2	1	no	—
237	C₁₃×#121	—	2	1	no	—
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₁₃×#120	—	2	1	no	—
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
244	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
245	#88207	—	2	1	no	—
246	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
247	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
248	#88204	—	4	2	no	—
249	#88201	C₂³	1	1	yes	characteristic
250	#88201	C₂³	1	1	yes	characteristic
251	#88201	C₂³	1	1	yes	characteristic
252	#88201	C₂³	1	1	yes	characteristic
253	#88200	C₂³	1	1	yes	characteristic
254	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
255	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
256	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
257	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
258	#88198	C₂³	1	1	yes	characteristic
259	C₂×#6107	C₂³	1	1	yes	characteristic
260	C₂×#6106	C₂³	1	1	yes	characteristic
261	C₂×#6106	C₂³	1	1	yes	characteristic
262	C₂×#6106	C₂³	1	1	yes	characteristic
263	C₂×#6106	C₂³	1	1	yes	characteristic
264	#88194	—	2	1	no	—
265	#88194	C₂³	1	1	yes	characteristic
266	#88194	C₂³	1	1	yes	characteristic
267	#88194	C₂³	1	1	yes	characteristic
268	#88193	—	2	1	no	—
269	#88193	—	2	1	no	—
270	#88193	—	2	1	no	—
271	#88193	—	2	1	no	—
272	#88193	—	2	1	no	—
273	#88193	—	2	1	no	—
274	#88193	D₄	1	1	yes	characteristic
275	#88192	—	2	1	no	—
276	#88192	—	2	1	no	—
277	#88192	—	2	1	no	—
278	#88192	C₂³	1	1	yes	characteristic
279	#88192	C₂³	1	1	yes	characteristic
280	#88191	—	2	1	no	—
281	#88191	—	2	1	no	—
282	#88191	—	2	1	no	—
283	#88191	—	2	1	no	—
284	#88191	—	2	1	no	—
285	#88190	—	2	1	no	—
286	#88190	—	2	1	no	—
287	#88190	C₂³	1	1	yes	characteristic
288	#88189	D₄	1	1	yes	characteristic
289	D₄×Dic₁₃	—	2	1	no	—
290	D₄×Dic₁₃	—	2	1	no	—
291	D₄×Dic₁₃	—	2	1	no	—
292	D₄×Dic₁₃	—	2	1	no	—
293	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
294	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
295	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
297	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×#6105	C₂³	1	1	yes	characteristic
299	C₂×#6105	C₂³	1	1	yes	characteristic
300	C₂×#6104	—	4	2	no	—
301	C₂×#6104	C₂³	1	1	yes	characteristic
302	C₂×#6104	C₂³	1	1	yes	characteristic
303	C₂×#6104	C₂³	1	1	yes	characteristic
304	C₂×#6104	C₂³	1	1	yes	characteristic
305	C₂×#6104	C₂³	1	1	yes	characteristic
306	#88184	—	2	1	no	—
307	#88184	—	2	1	no	—
308	#88184	—	2	1	no	—
309	#88184	—	2	1	no	—
310	#88184	C₂³	1	1	yes	characteristic
311	#88184	C₂³	1	1	yes	characteristic
312	#88184	C₂³	1	1	yes	characteristic
313	#88183	—	2	1	no	—
314	#88183	—	2	1	no	—
315	#88183	—	2	1	no	—
316	C₄×C₂²⋊D₁₃	—	2	1	no	—
317	C₄×C₂²⋊D₁₃	—	2	1	no	—
318	C₄×C₂²⋊D₁₃	—	2	1	no	—
319	C₄×C₂²⋊D₁₃	—	2	1	no	—
320	C₄×C₂²⋊D₁₃	—	2	1	no	—
321	C₄×C₂²⋊D₁₃	—	2	1	no	—
322	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
323	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
324	C₂×#6103	—	2	1	no	—
325	C₂×#6103	—	2	1	no	—
326	#88180	—	2	1	no	—
327	#88180	C₂³	1	1	yes	characteristic
328	#88180	C₂³	1	1	yes	characteristic
329	#88180	C₂³	1	1	yes	characteristic
330	#88178	—	2	1	no	—
331	#88178	—	2	1	no	—
332	#88178	C₂³	1	1	yes	characteristic
333	C₂×C₄×Dic₁₃	—	2	1	no	—
334	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
335	C₂²×#1055	C₂³	1	1	yes	characteristic
336	C₂²×#1055	C₂³	1	1	yes	characteristic
337	#88168	—	4	2	no	—
338	SD₁₆×D₁₃	—	4	2	no	—
339	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
340	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
341	C₂×#6095	C₂³	1	1	yes	characteristic
342	C₂×#6094	C₂³	1	1	yes	characteristic
343	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
344	#88152	—	2	1	no	—
345	#88152	—	2	1	no	—
346	#88152	—	2	1	no	—
347	#88152	—	2	1	no	—
348	#88152	—	2	1	no	—
349	#88152	D₄	1	1	yes	characteristic
350	#88151	—	2	1	no	—
351	#88151	—	2	1	no	—
352	#88150	—	2	1	no	—
353	#88150	—	2	1	no	—
354	#88150	—	2	1	no	—
355	#88149	—	2	1	no	—
356	#88149	C₂³	1	1	yes	characteristic
357	#88148	—	2	1	no	—
358	#88148	—	2	1	no	—
359	#88148	—	2	1	no	—
360	#88148	—	2	1	no	—
361	#88147	—	2	1	no	—
362	#88147	C₂³	1	1	yes	characteristic
363	#88147	C₂³	1	1	yes	characteristic
364	#88146	—	2	1	no	—
365	#88146	—	2	1	no	—
366	#88146	—	2	1	no	—
367	#88146	C₂³	1	1	yes	characteristic
368	#88144	—	2	1	no	—
369	#88144	C₂³	1	1	yes	characteristic
370	#88143	—	2	1	no	—
371	#88143	D₄	1	1	yes	characteristic
372	#88142	C₂³	1	1	yes	characteristic
373	#88142	C₂³	1	1	yes	characteristic
374	#88141	—	2	1	no	—
375	#88141	C₂³	1	1	yes	characteristic
376	#88140	—	2	1	no	—
377	#88140	—	2	1	no	—
378	#88140	—	2	1	no	—
379	#88140	D₄	1	1	yes	characteristic
380	#88139	—	2	1	no	—
381	#88139	—	2	1	no	—
382	#88139	—	2	1	no	—
383	#88139	—	2	1	no	—
384	#88139	—	2	1	no	—
385	#88139	—	2	1	no	—
386	#88139	—	2	1	no	—
387	#88139	—	2	1	no	—
388	#88139	—	2	1	no	—
389	#88139	—	2	1	no	—
390	#88139	D₄	1	1	yes	characteristic
391	#88138	—	2	1	no	—
392	#88138	—	2	1	no	—
393	#88138	—	2	1	no	—
394	#88137	—	2	1	no	—
395	#88137	—	2	1	no	—
396	#88137	—	2	1	no	—
397	#88137	—	2	1	no	—
398	#88136	—	2	1	no	—
399	#88135	—	2	1	no	—
400	#88135	—	2	1	no	—
401	#88135	—	2	1	no	—
402	#88135	—	2	1	no	—
403	C₂²⋊C₄×D₁₃	—	2	1	no	—
404	C₂²⋊C₄×D₁₃	—	2	1	no	—
405	C₂²⋊C₄×D₁₃	—	2	1	no	—
406	#88133	—	2	1	no	—
407	#88133	—	2	1	no	—
408	#88133	—	2	1	no	—
409	#88133	—	2	1	no	—
410	#88133	D₄	1	1	yes	characteristic
411	#88132	—	2	1	no	—
412	#88132	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	D₄	1	1	yes	characteristic
415	#88131	—	2	1	no	—
416	#88129	C₂³	1	1	yes	characteristic
417	C₄×D₅₂	C₂³	1	1	yes	characteristic
418	C₄×D₅₂	C₂³	1	1	yes	characteristic
419	#88126	C₂³	1	1	yes	characteristic
420	#88123	C₂³	1	1	yes	characteristic
421	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
422	C₁₃×#106	C₂³	1	1	yes	characteristic
423	C₁₃×C₄⋊C₈	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×#102	C₂³	1	1	yes	characteristic
428	C₁₃×#102	C₂³	1	1	yes	characteristic
429	C₁₃×#102	C₂³	1	1	yes	characteristic
430	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
431	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×#97	C₂³	1	1	yes	characteristic
433	#88075	C₂³	1	1	yes	characteristic
434	#88075	C₂³	1	1	yes	characteristic
435	#88075	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	#88072	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	C₂²⋊#1055	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	#88061	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88061	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88058	C₂³	1	1	yes	characteristic
457	#88058	C₂³	1	1	yes	characteristic
458	#88057	C₂³	1	1	yes	characteristic
459	#88056	C₂³	1	1	yes	characteristic
460	#88056	C₂³	1	1	yes	characteristic
461	#88056	C₂³	1	1	yes	characteristic
462	#88055	C₂³	1	1	yes	characteristic
463	#88055	C₂³	1	1	yes	characteristic
464	#88055	C₂³	1	1	yes	characteristic
465	#88054	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	#88054	C₂³	1	1	yes	characteristic
469	#88054	C₂³	1	1	yes	characteristic
470	#88054	C₂³	1	1	yes	characteristic
471	#88054	C₂³	1	1	yes	characteristic
472	#88054	C₂³	1	1	yes	characteristic
473	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
474	#88050	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88048	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88047	C₂³	1	1	yes	characteristic
481	#88047	C₂³	1	1	yes	characteristic
482	C₄⋊#1055	C₂³	1	1	yes	characteristic
483	C₄×#1055	C₂³	1	1	yes	characteristic
484	#62011	—	13	1	no	maximal, Sylow
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	1	no	—
487	C₂³×D₁₃	—	2	1	no	—
488	C₁₃×#41	—	2	2	no	—
489	C₁₃×#41	—	4	1	no	—
490	C₁₃×#41	—	4	1	no	—
491	C₁₃×#41	—	4	1	no	—
492	C₁₃×#41	—	4	1	no	—
493	C₁₃×#41	—	4	1	no	—
494	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₁₃	—	2	2	no	—
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	4	1	no	—
504	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
505	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₁₃	—	2	1	no	—
509	C₂²×C₄×C₁₃	—	2	1	no	—
510	C₂²×C₄×C₁₃	—	2	1	no	—
511	C₂²×C₄×C₁₃	—	2	1	no	—
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	8	2	no	—
529	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
530	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
531	C₂²×Dic₁₃	—	2	1	no	—
532	C₂²×Dic₁₃	—	2	1	no	—
533	C₂²×Dic₁₃	—	2	1	no	—
534	C₂²×Dic₁₃	—	2	1	no	—
535	C₂²×Dic₁₃	—	2	1	no	—
536	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
538	#6131	—	4	1	no	—
539	#6131	—	4	1	no	—
540	Q₈×D₁₃	—	4	1	no	—
541	Q₈×D₁₃	—	4	1	no	—
542	#6129	—	8	2	no	—
543	D₄×D₁₃	—	2	2	no	—
544	D₄×D₁₃	—	4	1	no	—
545	#6127	—	4	1	no	—
546	#6127	—	4	1	no	—
547	C₂×D₅₂	—	2	1	no	—
548	C₂×D₅₂	—	2	1	no	—
549	C₂×D₅₂	—	2	1	no	—
550	C₂×D₅₂	—	4	1	no	—
551	C₂×D₅₂	—	4	1	no	—
552	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
553	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
554	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
560	C₂×C₄×D₁₃	—	2	1	no	—
561	C₂×C₄×D₁₃	—	2	1	no	—
562	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
563	C₂×Dic₂₆	—	2	1	no	—
564	C₂×Dic₂₆	—	2	1	no	—
565	C₂×Dic₂₆	—	2	1	no	—
566	C₂×Dic₂₆	—	2	1	no	—
567	C₂×Dic₂₆	—	8	2	no	—
568	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
569	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
570	C₁₃×Q₁₆	—	4	1	no	—
571	C₁₃×Q₁₆	—	4	1	no	—
572	C₁₃×SD₁₆	—	2	2	no	—
573	C₁₃×SD₁₆	—	2	2	no	—
574	C₁₃×SD₁₆	—	4	1	no	—
575	C₁₃×SD₁₆	—	4	1	no	—
576	C₁₃×SD₁₆	—	4	1	no	—
577	C₁₃×D₈	—	2	2	no	—
578	C₁₃×D₈	—	4	1	no	—
579	C₁₃×M₁₆	—	4	1	no	—
580	C₂×C₈×C₁₃	—	4	1	no	—
581	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
582	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
585	C₁₃×C₄⋊C₄	—	2	1	no	—
586	C₁₃×C₄⋊C₄	—	2	1	no	—
587	C₁₃×C₄⋊C₄	—	2	1	no	—
588	C₁₃×C₄⋊C₄	—	2	1	no	—
589	C₁₃×C₄⋊C₄	—	2	1	no	—
590	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₁₃×C₂²⋊C₄	—	2	1	no	—
594	C₁₃×C₂²⋊C₄	—	2	1	no	—
595	C₁₃×C₂²⋊C₄	—	2	1	no	—
596	C₁₃×C₂²⋊C₄	—	2	1	no	—
597	C₁₃×C₂²⋊C₄	—	2	1	no	—
598	C₁₃×C₂²⋊C₄	—	2	1	no	—
599	C₁₃×C₂²⋊C₄	—	2	1	no	—
600	C₁₃×C₂²⋊C₄	—	2	1	no	—
601	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
604	C₂²⋊Dic₁₃	—	2	1	no	—
605	C₂²⋊Dic₁₃	—	2	1	no	—
606	C₂²⋊Dic₁₃	—	2	1	no	—
607	C₂²⋊Dic₁₃	—	2	1	no	—
608	C₂²⋊Dic₁₃	—	2	1	no	—
609	C₂²⋊Dic₁₃	—	2	1	no	—
610	C₂²⋊Dic₁₃	—	2	1	no	—
611	C₂²⋊Dic₁₃	—	2	1	no	—
612	C₂²⋊Dic₁₃	—	2	1	no	—
613	C₂²⋊Dic₁₃	—	2	1	no	—
614	C₂²⋊Dic₁₃	—	2	1	no	—
615	C₂²⋊Dic₁₃	—	2	1	no	—
616	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
617	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
618	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
619	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
620	#6107	—	4	1	no	—
621	#6106	—	4	1	no	—
622	#6106	—	4	1	no	—
623	#6106	—	4	1	no	—
624	#6106	—	4	1	no	—
625	#6105	—	2	2	no	—
626	#6105	—	4	1	no	—
627	#6104	—	2	2	no	—
628	#6104	—	2	2	no	—
629	#6104	—	4	1	no	—
630	#6104	—	4	1	no	—
631	#6104	—	4	1	no	—
632	#6103	—	2	1	no	—
633	#6103	—	2	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	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	C₂×D₄	1	1	yes	characteristic
653	#6103	C₂×D₄	1	1	yes	characteristic
654	#6103	C₂×D₄	1	1	yes	characteristic
655	#6103	C₂×D₄	1	1	yes	characteristic
656	C₄⋊Dic₁₃	—	2	1	no	—
657	C₄⋊Dic₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
663	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
664	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
665	C₄⋊Dic₁₃	C₂⁴	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	#6101	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
678	#6101	C₂×D₄	1	1	yes	characteristic
679	#6101	C₂×D₄	1	1	yes	characteristic
680	#6101	C₂×D₄	1	1	yes	characteristic
681	#6101	C₂×D₄	1	1	yes	characteristic
682	#6101	C₂×D₄	1	1	yes	characteristic
683	C₄×Dic₁₃	—	2	1	no	—
684	C₄×Dic₁₃	—	2	1	no	—
685	C₄×Dic₁₃	—	2	1	no	—
686	C₄×Dic₁₃	—	2	1	no	—
687	C₄×Dic₁₃	—	2	1	no	—
688	C₄×Dic₁₃	—	2	1	no	—
689	C₄×Dic₁₃	—	2	1	no	—
690	C₄×Dic₁₃	—	2	1	no	—
691	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
694	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
695	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
696	C₂×#1055	—	4	1	no	—
697	C₂×#1055	—	4	1	no	—
698	C₂×#1055	C₂⁴	1	1	yes	characteristic
699	C₂×#1055	C₂⁴	1	1	yes	characteristic
700	C₂×#1055	C₂⁴	1	1	yes	characteristic
701	C₂×#1055	C₂⁴	1	1	yes	characteristic
702	D₁₀₄	—	4	1	no	—
703	D₁₀₄	—	4	1	no	—
704	#6095	—	4	1	no	—
705	#6094	—	4	1	no	—
706	C₈×D₁₃	—	4	1	no	—
707	#3562	—	13	1	no	—
708	#3514	—	13	1	no	—
709	#3403	—	13	1	no	—
710	#3401	—	13	1	no	—
711	#3373	—	13	1	no	—
712	#3367	—	13	1	no	—
713	#3321	—	13	1	no	—
714	#3319	—	13	1	no	—
715	#3313	—	13	1	no	—
716	#3311	—	13	1	no	—
717	#3305	—	13	1	no	—
718	#3303	—	13	1	no	—
719	#3282	—	13	1	no	—
720	#3280	—	13	1	no	—
721	#3268	—	13	1	no	—
722	#3267	D₁₃	1	1	yes	characteristic, complemented
723	#3265	—	13	1	no	—
724	#3264	—	13	1	no	—
725	#3258	—	13	1	no	—
726	#3257	—	13	1	no	—
727	#3247	—	13	1	no	—
728	#3225	—	13	1	no	—
729	#3224	—	13	1	no	—
730	#3214	—	13	1	no	—
731	#3123	—	13	1	no	—
732	#3122	—	13	1	no	—
733	#3111	—	13	1	no	—
734	#3042	—	13	1	no	—
735	#3041	—	13	1	no	—
736	#3035	—	13	1	no	—
737	#2992	—	13	1	no	—
738	C₂³×C₁₃	—	2	1	no	—
739	C₂³×C₁₃	—	2	1	no	—
740	C₂³×C₁₃	—	2	1	no	—
741	C₂³×C₁₃	—	4	2	no	—
742	C₂³×C₁₃	—	8	1	no	—
743	C₂³×C₁₃	—	8	1	no	—
744	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
745	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
746	C₂²×D₁₃	—	2	1	no	—
747	C₂²×D₁₃	—	2	1	no	—
748	C₂²×D₁₃	—	2	1	no	—
749	C₂²×D₁₃	—	4	2	no	—
750	C₂²×D₁₃	—	8	1	no	—
751	C₂²×D₁₃	—	8	1	no	—
752	C₂²×D₁₃	—	8	1	no	—
753	C₂²×D₁₃	—	8	1	no	—
754	C₂²×D₁₃	—	8	1	no	—
755	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
756	Q₈×C₁₃	—	2	1	no	—
757	Q₈×C₁₃	—	2	1	no	—
758	Q₈×C₁₃	—	2	1	no	—
759	Q₈×C₁₃	—	2	1	no	—
760	Q₈×C₁₃	—	2	1	no	—
761	Q₈×C₁₃	—	2	1	no	—
762	D₄×C₁₃	—	2	1	no	—
763	D₄×C₁₃	—	2	1	no	—
764	D₄×C₁₃	—	2	1	no	—
765	D₄×C₁₃	—	2	1	no	—
766	D₄×C₁₃	—	2	1	no	—
767	D₄×C₁₃	—	4	1	no	—
768	D₄×C₁₃	—	4	2	no	—
769	D₄×C₁₃	—	4	2	no	—
770	D₄×C₁₃	—	8	1	no	—
771	D₄×C₁₃	—	8	1	no	—
772	D₄×C₁₃	—	8	1	no	—
773	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
774	C₂×C₄×C₁₃	—	2	1	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	—	4	2	no	—
784	C₂×C₄×C₁₃	—	8	1	no	—
785	C₂×C₄×C₁₃	—	8	1	no	—
786	C₂×C₄×C₁₃	—	8	1	no	—
787	C₂×C₄×C₁₃	—	8	1	no	—
788	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
793	C₂²⋊D₁₃	—	4	1	no	—
794	C₂²⋊D₁₃	—	4	1	no	—
795	C₂²⋊D₁₃	—	4	2	no	—
796	C₂²⋊D₁₃	—	4	2	no	—
797	C₂²⋊D₁₃	—	8	1	no	—
798	C₂²⋊D₁₃	—	8	1	no	—
799	C₂²⋊D₁₃	—	8	1	no	—
800	C₂²⋊D₁₃	—	8	1	no	—
801	C₂²⋊D₁₃	—	8	1	no	—
802	C₂²⋊D₁₃	—	8	1	no	—
803	C₂²⋊D₁₃	—	8	1	no	—
804	C₂²⋊D₁₃	—	8	1	no	—
805	C₂²⋊D₁₃	—	8	1	no	—
806	C₂²⋊D₁₃	—	8	1	no	—
807	C₂²⋊D₁₃	—	8	1	no	—
808	C₂×Dic₁₃	—	2	1	no	—
809	C₂×Dic₁₃	—	2	1	no	—
810	C₂×Dic₁₃	—	2	1	no	—
811	C₂×Dic₁₃	—	2	1	no	—
812	C₂×Dic₁₃	—	2	1	no	—
813	C₂×Dic₁₃	—	4	1	no	—
814	C₂×Dic₁₃	—	4	1	no	—
815	C₂×Dic₁₃	—	4	2	no	—
816	C₂×Dic₁₃	—	8	1	no	—
817	C₂×Dic₁₃	—	8	1	no	—
818	C₂×Dic₁₃	—	8	1	no	—
819	C₂×Dic₁₃	—	8	1	no	—
820	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
822	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
823	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
824	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
827	D₅₂	—	2	1	no	—
828	D₅₂	—	2	1	no	—
829	D₅₂	—	2	1	no	—
830	D₅₂	—	2	1	no	—
831	D₅₂	—	2	1	no	—
832	D₅₂	—	2	1	no	—
833	D₅₂	—	8	1	no	—
834	D₅₂	—	8	1	no	—
835	D₅₂	—	8	1	no	—
836	C₄×D₁₃	—	2	1	no	—
837	C₄×D₁₃	—	2	1	no	—
838	C₄×D₁₃	—	8	1	no	—
839	C₄×D₁₃	—	8	1	no	—
840	C₄×D₁₃	—	8	1	no	—
841	C₄×D₁₃	—	8	1	no	—
842	C₄×D₁₃	—	8	1	no	—
843	C₄×D₁₃	—	8	1	no	—
844	C₄×D₁₃	—	8	1	no	—
845	Dic₂₆	—	2	1	no	—
846	Dic₂₆	—	2	1	no	—
847	Dic₂₆	—	4	1	no	—
848	Dic₂₆	—	4	2	no	—
849	Dic₂₆	—	8	1	no	—
850	Dic₂₆	—	8	1	no	—
851	Dic₂₆	—	8	1	no	—
852	C₈×C₁₃	—	2	1	no	—
853	C₈×C₁₃	—	2	1	no	—
854	C₈×C₁₃	—	2	1	no	—
855	C₈×C₁₃	—	2	1	no	—
856	#1055	—	2	1	no	—
857	#1055	—	2	1	no	—
858	#1055	—	2	1	no	—
859	#1055	—	2	1	no	—
860	C₂×AGL(1,ℤ/8)	—	13	1	no	—
861	C₂×AGL(1,ℤ/8)	C₂×D₁₃	1	1	yes	characteristic
862	C₂×#135	—	13	1	no	—
863	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
864	C₂²×SD₁₆	—	13	1	no	—
865	C₂²×D₈	—	13	1	no	—
866	#562	—	26	1	no	—
867	#560	—	26	1	no	—
868	#559	—	13	1	no	—
869	#559	—	13	1	no	—
870	#556	—	13	1	no	—
871	#556	—	13	1	no	—
872	#555	—	13	1	no	—
873	#555	—	13	1	no	—
874	#553	—	26	1	no	—
875	#551	—	26	1	no	—
876	#551	—	26	1	no	—
877	#551	—	26	1	no	—
878	#550	—	13	1	no	—
879	D₄×Q₈	—	13	1	no	—
880	#548	—	13	1	no	—
881	#548	—	13	1	no	—
882	#548	—	26	1	no	—
883	#547	C₂×D₁₃	1	1	yes	characteristic, complemented
884	#546	—	13	1	no	—
885	#546	—	13	1	no	—
886	#546	—	13	1	no	—
887	#546	—	26	1	no	—
888	#546	C₂×D₁₃	1	1	yes	characteristic
889	D₄²	—	13	1	no	—
890	#542	—	13	1	no	—
891	#542	—	13	1	no	—
892	#541	—	13	1	no	—
893	#540	—	13	1	no	—
894	#540	—	26	1	no	—
895	#539	—	26	1	no	—
896	#538	—	26	1	no	—
897	#538	—	26	1	no	—
898	#538	—	26	1	no	—
899	#538	—	26	1	no	—
900	#536	—	13	1	no	—
901	#535	—	13	1	no	—
902	#532	—	13	1	no	—
903	#532	—	13	1	no	—
904	#529	—	13	1	no	—
905	#529	—	13	1	no	—
906	#529	—	26	1	no	—
907	C₂×#124	—	26	1	no	—
908	#518	—	13	1	no	—
909	#518	—	13	1	no	—
910	C₄×#41	—	13	1	no	—
911	#497	C₂×D₁₃	1	1	yes	characteristic, complemented
912	#496	—	13	1	no	—
913	#496	—	13	1	no	—
914	#496	—	13	1	no	—
915	#495	—	13	1	no	—
916	#495	—	13	1	no	—
917	#489	—	13	1	no	—
918	#489	—	13	1	no	—
919	#489	—	13	1	no	—
920	#489	—	13	1	no	—
921	#487	—	13	1	no	—
922	#486	—	13	1	no	—
923	#485	—	13	1	no	—
924	#485	—	13	1	no	—
925	#485	—	13	1	no	—
926	#482	—	13	1	no	—
927	#482	—	13	1	no	—
928	#482	—	13	1	no	—
929	#479	—	13	1	no	—
930	#478	—	13	1	no	—
931	#478	—	13	1	no	—
932	#478	—	13	1	no	—
933	#477	—	13	1	no	—
934	#477	—	13	1	no	—
935	#476	—	13	1	no	—
936	#476	—	13	1	no	—
937	#475	—	13	1	no	—
938	#474	—	13	1	no	—
939	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
940	#469	—	13	1	no	—
941	#468	—	13	1	no	—
942	#468	—	13	1	no	—
943	#467	—	13	1	no	—
944	#466	—	13	1	no	—
945	#466	—	13	1	no	—
946	#466	—	13	1	no	—
947	#465	—	13	1	no	—
948	#465	—	13	1	no	—
949	#465	—	13	1	no	—
950	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
951	#464	—	13	1	no	—
952	#464	—	13	1	no	—
953	#464	—	13	1	no	—
954	#464	—	13	1	no	—
955	#464	—	13	1	no	—
956	#463	—	13	1	no	—
957	#463	—	13	1	no	—
958	#463	—	13	1	no	—
959	#463	—	13	1	no	—
960	#463	—	13	1	no	—
961	#463	—	13	1	no	—
962	#463	—	13	1	no	—
963	#463	—	13	1	no	—
964	#463	—	13	1	no	—
965	#463	—	13	1	no	—
966	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
967	#462	—	13	1	no	—
968	#461	—	13	1	no	—
969	#461	—	13	1	no	—
970	#461	—	13	1	no	—
971	#461	—	13	1	no	—
972	#461	C₂×D₁₃	1	1	yes	characteristic, complemented
973	#460	—	13	1	no	—
974	#460	—	13	1	no	—
975	#459	—	13	1	no	—
976	#459	—	13	1	no	—
977	#459	—	13	1	no	—
978	#459	—	13	1	no	—
979	#459	—	13	1	no	—
980	#459	—	13	1	no	—
981	#452	—	13	1	no	—
982	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
983	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
984	#451	—	13	1	no	—
985	#450	—	13	1	no	—
986	#450	—	13	1	no	—
987	#450	C₂×D₁₃	1	1	yes	characteristic
988	#449	—	13	1	no	—
989	#449	—	13	1	no	—
990	#449	—	13	1	no	—
991	#449	—	13	1	no	—
992	#449	—	13	1	no	—
993	#449	—	13	1	no	—
994	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
995	#448	—	13	1	no	—
996	#447	—	13	1	no	—
997	#447	—	13	1	no	—
998	#447	—	13	1	no	—
999	#446	—	13	1	no	—
1000	#446	—	13	1	no	—
1001	#442	—	13	1	no	—
1002	#442	—	13	1	no	—
1003	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
1004	#441	—	13	1	no	—
1005	#440	—	13	1	no	—
1006	#440	—	13	1	no	—
1007	#440	—	13	1	no	—
1008	#440	—	13	1	no	—
1009	C₄×SD₁₆	—	13	1	no	—
1010	C₄×SD₁₆	—	13	1	no	—
1011	C₄×D₈	—	13	1	no	—
1012	C₄×D₈	—	13	1	no	—
1013	#435	—	13	1	no	—
1014	#435	—	13	1	no	—
1015	#435	—	13	1	no	—
1016	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1017	C₈×D₄	—	13	1	no	—
1018	C₈×D₄	—	13	1	no	—
1019	#433	—	13	1	no	—
1020	#433	—	13	1	no	—
1021	#432	—	13	1	no	—
1022	#424	—	13	1	no	—
1023	#424	—	13	1	no	—
1024	C₂×C₄⋊C₈	—	13	1	no	—
1025	#419	—	13	1	no	—
1026	#418	—	13	1	no	—
1027	#416	—	13	1	no	—
1028	#416	—	13	1	no	—
1029	#416	—	13	1	no	—
1030	#416	—	13	1	no	—
1031	C₂²×C₁₃	—	2	1	no	—
1032	C₂²×C₁₃	—	2	1	no	—
1033	C₂²×C₁₃	—	2	1	no	—
1034	C₂²×C₁₃	—	2	1	no	—
1035	C₂²×C₁₃	—	2	2	no	—
1036	C₂²×C₁₃	—	2	1	no	—
1037	C₂²×C₁₃	—	2	1	no	—
1038	C₂²×C₁₃	—	4	1	no	—
1039	C₂²×C₁₃	—	4	1	no	—
1040	C₂²×C₁₃	—	4	1	no	—
1041	C₂²×C₁₃	—	4	1	no	—
1042	C₂²×C₁₃	—	4	1	no	—
1043	C₂²×C₁₃	—	4	1	no	—
1044	C₂²×C₁₃	—	4	1	no	—
1045	C₂²×C₁₃	—	4	1	no	—
1046	C₂²×C₁₃	—	16	2	no	—
1047	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1048	C₂×D₁₃	—	2	1	no	—
1049	C₂×D₁₃	—	2	1	no	—
1050	C₂×D₁₃	—	2	1	no	—
1051	C₂×D₁₃	—	4	1	no	—
1052	C₂×D₁₃	—	4	1	no	—
1053	C₂×D₁₃	—	4	1	no	—
1054	C₂×D₁₃	—	4	1	no	—
1055	C₂×D₁₃	—	4	1	no	—
1056	C₂×D₁₃	—	4	1	no	—
1057	C₂×D₁₃	—	4	1	no	—
1058	C₂×D₁₃	—	4	1	no	—
1059	C₂×D₁₃	—	4	1	no	—
1060	C₂×D₁₃	—	16	2	no	—
1061	C₂×D₁₃	—	16	2	no	—
1062	C₄×C₁₃	—	2	1	no	—
1063	C₄×C₁₃	—	2	1	no	—
1064	C₄×C₁₃	—	2	1	no	—
1065	C₄×C₁₃	—	2	1	no	—
1066	C₄×C₁₃	—	4	1	no	—
1067	C₄×C₁₃	—	4	1	no	—
1068	C₄×C₁₃	—	4	1	no	—
1069	C₄×C₁₃	—	4	1	no	—
1070	C₄×C₁₃	—	4	1	no	—
1071	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1072	C₄×C₁₃	#585	1	1	yes	characteristic
1073	Dic₁₃	—	2	1	no	—
1074	Dic₁₃	—	2	1	no	—
1075	Dic₁₃	—	2	1	no	—
1076	Dic₁₃	—	2	1	no	—
1077	Dic₁₃	—	2	1	no	—
1078	Dic₁₃	—	2	1	no	—
1079	Dic₁₃	—	2	1	no	—
1080	Dic₁₃	—	4	1	no	—
1081	Dic₁₃	—	4	1	no	—
1082	Dic₁₃	—	4	1	no	—
1083	Dic₁₃	—	4	1	no	—
1084	Dic₁₃	—	4	1	no	—
1085	C₂×#41	—	13	1	no	—
1086	C₂×#41	—	13	1	no	—
1087	C₂×#41	—	26	1	no	—
1088	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1089	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1090	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1091	C₂²×Q₈	—	13	1	no	—
1092	C₂²×Q₈	—	26	1	no	—
1093	C₂²×D₄	—	13	1	no	—
1094	C₂²×D₄	—	13	1	no	—
1095	C₂²×D₄	—	26	1	no	—
1096	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1097	AGL(1,ℤ/8)	—	4	2	no	—
1098	AGL(1,ℤ/8)	—	52	2	no	—
1099	#135	—	4	2	no	—
1100	#135	—	52	2	no	—
1101	C₂×Q₁₆	—	13	1	no	—
1102	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1103	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1104	C₂×SD₁₆	—	13	1	no	—
1105	C₂×SD₁₆	—	13	1	no	—
1106	C₂×SD₁₆	—	13	1	no	—
1107	C₂×SD₁₆	—	13	1	no	—
1108	C₂×SD₁₆	—	13	1	no	—
1109	C₂×SD₁₆	—	13	1	no	—
1110	C₂×SD₁₆	—	13	1	no	—
1111	C₂×SD₁₆	—	52	2	no	—
1112	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1113	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1114	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1115	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1116	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1117	C₂×D₈	—	13	1	no	—
1118	C₂×D₈	—	13	1	no	—
1119	C₂×D₈	—	13	1	no	—
1120	C₂×D₈	—	13	1	no	—
1121	C₂×D₈	—	13	1	no	—
1122	C₂×D₈	—	13	1	no	—
1123	C₂×D₈	—	13	1	no	—
1124	C₂×D₈	—	52	2	no	—
1125	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1126	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1127	C₂×M₁₆	—	13	1	no	—
1128	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1129	C₂²×C₈	—	13	1	no	—
1130	C₂²×C₈	—	13	1	no	—
1131	C₂²×C₈	—	13	1	no	—
1132	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1133	C₄⋊Q₈	—	13	1	no	—
1134	C₄⋊Q₈	—	13	1	no	—
1135	C₄⋊Q₈	—	13	1	no	—
1136	C₄⋊Q₈	—	13	1	no	—
1137	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1138	#127	—	13	1	no	—
1139	#127	—	13	1	no	—
1140	#127	—	13	1	no	—
1141	#127	—	26	1	no	—
1142	#126	—	13	1	no	—
1143	#126	—	13	1	no	—
1144	#126	—	26	1	no	—
1145	#126	—	26	1	no	—
1146	#126	—	26	1	no	—
1147	#126	—	26	1	no	—
1148	#126	—	26	1	no	—
1149	#126	—	26	1	no	—
1150	#126	—	26	1	no	—
1151	#126	—	26	1	no	—
1152	#126	—	26	1	no	—
1153	#125	—	13	1	no	—
1154	#125	—	13	1	no	—
1155	#125	—	26	1	no	—
1156	#125	—	26	1	no	—
1157	#124	—	13	1	no	—
1158	#124	—	13	1	no	—
1159	#124	—	13	1	no	—
1160	#124	—	13	1	no	—
1161	#124	—	13	1	no	—
1162	#124	—	13	1	no	—
1163	#124	—	13	1	no	—
1164	#124	—	26	1	no	—
1165	#124	—	26	1	no	—
1166	#124	—	26	1	no	—
1167	#124	—	26	1	no	—
1168	#124	—	26	1	no	—
1169	#124	—	26	1	no	—
1170	#124	—	26	1	no	—
1171	#124	—	26	1	no	—
1172	#124	—	26	1	no	—
1173	#124	—	26	1	no	—
1174	#124	—	26	1	no	—
1175	#124	—	26	1	no	—
1176	#124	C₂²×D₁₃	1	1	yes	characteristic
1177	#123	—	2	1	no	—
1178	#123	—	2	1	no	—
1179	#123	—	2	1	no	—
1180	#123	—	13	1	no	—
1181	#123	—	13	1	no	—
1182	#123	—	26	1	no	—
1183	#123	—	26	1	no	—
1184	#123	—	26	1	no	—
1185	#123	—	26	1	no	—
1186	#123	—	26	1	no	—
1187	#123	—	26	1	no	—
1188	#123	—	26	1	no	—
1189	#123	—	26	1	no	—
1190	#123	—	26	1	no	—
1191	#123	—	26	1	no	—
1192	#123	—	26	1	no	—
1193	#123	—	26	1	no	—
1194	#123	—	26	1	no	—
1195	#123	—	26	1	no	—
1196	C₂²⋊Q₈	—	13	1	no	—
1197	C₂²⋊Q₈	—	13	1	no	—
1198	C₂²⋊Q₈	—	13	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	C₂²×D₁₃	1	1	yes	characteristic
1210	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1211	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1212	#121	—	2	1	no	—
1213	#121	—	2	1	no	—
1214	#121	—	13	1	no	—
1215	#121	—	13	1	no	—
1216	#121	—	13	1	no	—
1217	#121	—	13	1	no	—
1218	#121	—	13	1	no	—
1219	#121	—	13	1	no	—
1220	#121	—	13	1	no	—
1221	#121	—	26	1	no	—
1222	#121	—	26	1	no	—
1223	#121	—	26	1	no	—
1224	#121	—	26	1	no	—
1225	#121	—	26	1	no	—
1226	#121	—	26	1	no	—
1227	#121	—	26	1	no	—
1228	#121	—	26	1	no	—
1229	#121	—	26	1	no	—
1230	#121	—	26	1	no	—
1231	#121	—	26	1	no	—
1232	#121	—	26	1	no	—
1233	#121	—	26	1	no	—
1234	#121	—	26	1	no	—
1235	#121	—	26	1	no	—
1236	#121	—	26	1	no	—
1237	#121	—	26	1	no	—
1238	#121	C₂²×D₁₃	1	1	yes	characteristic
1239	#120	—	2	1	no	—
1240	#120	—	26	1	no	—
1241	#120	—	26	1	no	—
1242	#120	—	26	1	no	—
1243	#120	—	26	1	no	—
1244	#120	—	26	1	no	—
1245	#120	—	26	1	no	—
1246	#120	—	26	1	no	—
1247	C₄×Q₈	—	13	1	no	—
1248	C₄×Q₈	—	13	1	no	—
1249	C₄×Q₈	—	13	1	no	—
1250	C₄×Q₈	—	13	1	no	—
1251	C₄×Q₈	—	13	1	no	—
1252	C₄×Q₈	—	13	1	no	—
1253	C₄×Q₈	—	26	1	no	—
1254	C₄×D₄	—	13	1	no	—
1255	C₄×D₄	—	13	1	no	—
1256	C₄×D₄	—	13	1	no	—
1257	C₄×D₄	—	13	1	no	—
1258	C₄×D₄	—	13	1	no	—
1259	C₄×D₄	—	13	1	no	—
1260	C₄×D₄	—	13	1	no	—
1261	C₄×D₄	—	13	1	no	—
1262	C₄×D₄	—	13	1	no	—
1263	C₄×D₄	—	13	1	no	—
1264	C₄×D₄	—	13	1	no	—
1265	C₄×D₄	—	26	1	no	—
1266	C₄×D₄	—	26	1	no	—
1267	C₄×D₄	—	26	1	no	—
1268	C₄×D₄	—	26	1	no	—
1269	C₄×D₄	—	26	1	no	—
1270	C₄×D₄	—	26	1	no	—
1271	C₄×D₄	—	26	1	no	—
1272	C₄×D₄	—	26	1	no	—
1273	C₄×D₄	—	26	1	no	—
1274	C₄×D₄	—	26	1	no	—
1275	C₄×D₄	—	26	1	no	—
1276	C₄×D₄	—	26	1	no	—
1277	C₄×D₄	—	26	1	no	—
1278	C₄×D₄	—	26	1	no	—
1279	C₄×D₄	—	26	1	no	—
1280	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1281	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1282	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1283	#117	—	13	1	no	—
1284	#117	—	13	1	no	—
1285	#117	—	13	1	no	—
1286	#117	—	13	1	no	—
1287	#117	—	13	1	no	—
1288	#117	—	26	1	no	—
1289	#117	—	26	1	no	—
1290	#117	—	26	1	no	—
1291	#117	—	26	1	no	—
1292	#117	—	26	1	no	—
1293	C₂×C₄⋊C₄	—	2	1	no	—
1294	C₂×C₂²⋊C₄	—	2	1	no	—
1295	C₂×C₂²⋊C₄	—	26	1	no	—
1296	C₂×C₂²⋊C₄	—	26	1	no	—
1297	C₂×C₂²⋊C₄	—	26	1	no	—
1298	C₂×C₂²⋊C₄	—	26	1	no	—
1299	C₂×C₂²⋊C₄	—	26	1	no	—
1300	C₂×C₂²⋊C₄	—	26	1	no	—
1301	C₂×C₂²⋊C₄	—	26	1	no	—
1302	C₂×C₄²	—	13	1	no	—
1303	C₂×C₄²	—	26	1	no	—
1304	#107	—	13	1	no	—
1305	#107	—	13	1	no	—
1306	#107	—	13	1	no	—
1307	#107	—	13	1	no	—
1308	#106	—	13	1	no	—
1309	#106	—	13	1	no	—
1310	#106	—	13	1	no	—
1311	#106	C₂²×D₁₃	1	1	yes	characteristic
1312	C₄⋊C₈	—	13	1	no	—
1313	C₄⋊C₈	—	13	1	no	—
1314	C₄⋊C₈	—	13	1	no	—
1315	C₄⋊C₈	—	13	1	no	—
1316	C₄⋊C₈	—	13	1	no	—
1317	C₄⋊C₈	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1334	#103	C₂²×D₁₃	1	1	yes	characteristic
1335	#103	C₂²×D₁₃	1	1	yes	characteristic
1336	#102	—	13	1	no	—
1337	#102	—	13	1	no	—
1338	#102	—	13	1	no	—
1339	#102	—	13	1	no	—
1340	#102	—	13	1	no	—
1341	#102	—	13	1	no	—
1342	#102	—	13	1	no	—
1343	#102	—	13	1	no	—
1344	#102	—	13	1	no	—
1345	#102	—	13	1	no	—
1346	#102	—	13	1	no	—
1347	#102	—	13	1	no	—
1348	#102	—	13	1	no	—
1349	#102	—	13	1	no	—
1350	#102	—	13	1	no	—
1351	#102	C₂²×D₁₃	1	1	yes	characteristic
1352	#102	C₂²×D₁₃	1	1	yes	characteristic
1353	#102	C₂²×D₁₃	1	1	yes	characteristic
1354	C₂²⋊C₈	—	13	1	no	—
1355	C₂²⋊C₈	—	13	1	no	—
1356	C₂²⋊C₈	—	13	1	no	—
1357	C₂²⋊C₈	—	13	1	no	—
1358	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1359	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1360	#97	—	13	1	no	—
1361	#97	—	13	1	no	—
1362	#97	—	13	1	no	—
1363	#97	C₂²×D₁₃	1	1	yes	characteristic
1364	C₄×C₈	—	13	1	no	—
1365	C₄×C₈	—	13	1	no	—
1366	C₂×C₁₃	—	4	1	no	—
1367	C₂×C₁₃	—	4	2	no	—
1368	C₂×C₁₃	—	4	1	no	—
1369	C₂×C₁₃	—	8	1	no	—
1370	C₂×C₁₃	—	8	1	no	—
1371	C₂×C₁₃	#3488	1	1	yes	characteristic
1372	C₂×C₁₃	#3584	1	1	yes	characteristic
1373	C₂×C₁₃	#3585	1	1	yes	characteristic
1374	D₁₃	—	4	1	no	—
1375	D₁₃	—	8	1	no	—
1376	D₁₃	—	8	1	no	—
1377	D₁₃	—	8	1	no	—
1378	C₂⁴	—	2	1	no	—
1379	C₂⁴	—	26	1	no	—
1380	C₂⁴	—	26	1	no	—
1381	#41	—	2	2	no	—
1382	#41	—	4	1	no	—
1383	#41	—	4	1	no	—
1384	#41	—	4	1	no	—
1385	#41	—	4	1	no	—
1386	#41	—	4	1	no	—
1387	#41	—	52	1	no	—
1388	#41	—	52	1	no	—
1389	#41	—	52	1	no	—
1390	#41	—	52	1	no	—
1391	#41	—	104	2	no	—
1392	C₂×Q₈	—	13	1	no	—
1393	C₂×Q₈	—	13	1	no	—
1394	C₂×Q₈	—	26	1	no	—
1395	C₂×Q₈	—	26	1	no	—
1396	C₂×Q₈	—	26	1	no	—
1397	C₂×Q₈	—	26	1	no	—
1398	C₂×Q₈	—	52	1	no	—
1399	C₂×Q₈	—	52	1	no	—
1400	C₂×Q₈	—	104	2	no	—
1401	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1402	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1403	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1404	C₂×D₄	—	2	2	no	—
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	2	1	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	4	1	no	—
1411	C₂×D₄	—	13	1	no	—
1412	C₂×D₄	—	13	1	no	—
1413	C₂×D₄	—	13	1	no	—
1414	C₂×D₄	—	13	1	no	—
1415	C₂×D₄	—	13	1	no	—
1416	C₂×D₄	—	26	1	no	—
1417	C₂×D₄	—	26	1	no	—
1418	C₂×D₄	—	26	1	no	—
1419	C₂×D₄	—	26	1	no	—
1420	C₂×D₄	—	26	1	no	—
1421	C₂×D₄	—	26	1	no	—
1422	C₂×D₄	—	26	1	no	—
1423	C₂×D₄	—	26	1	no	—
1424	C₂×D₄	—	26	1	no	—
1425	C₂×D₄	—	26	2	no	—
1426	C₂×D₄	—	26	1	no	—
1427	C₂×D₄	—	26	1	no	—
1428	C₂×D₄	—	26	1	no	—
1429	C₂×D₄	—	26	1	no	—
1430	C₂×D₄	—	26	1	no	—
1431	C₂×D₄	—	26	1	no	—
1432	C₂×D₄	—	26	1	no	—
1433	C₂×D₄	—	52	1	no	—
1434	C₂×D₄	—	52	1	no	—
1435	C₂×D₄	—	52	1	no	—
1436	C₂×D₄	—	104	2	no	—
1437	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1438	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1439	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1440	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1441	C₂²×C₄	—	2	1	no	—
1442	C₂²×C₄	—	2	1	no	—
1443	C₂²×C₄	—	2	1	no	—
1444	C₂²×C₄	—	2	1	no	—
1445	C₂²×C₄	—	2	1	no	—
1446	C₂²×C₄	—	13	1	no	—
1447	C₂²×C₄	—	13	1	no	—
1448	C₂²×C₄	—	13	1	no	—
1449	C₂²×C₄	—	26	1	no	—
1450	C₂²×C₄	—	26	1	no	—
1451	C₂²×C₄	—	26	1	no	—
1452	C₂²×C₄	—	26	1	no	—
1453	C₂²×C₄	—	26	1	no	—
1454	C₂²×C₄	—	26	1	no	—
1455	C₂²×C₄	—	26	1	no	—
1456	C₂²×C₄	—	26	1	no	—
1457	C₂²×C₄	—	26	1	no	—
1458	C₂²×C₄	—	26	1	no	—
1459	C₂²×C₄	—	26	1	no	—
1460	C₂²×C₄	—	26	1	no	—
1461	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1462	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1463	Q₁₆	—	4	1	no	—
1464	Q₁₆	—	4	1	no	—
1465	Q₁₆	—	52	1	no	—
1466	SD₁₆	—	2	2	no	—
1467	SD₁₆	—	2	2	no	—
1468	SD₁₆	—	4	1	no	—
1469	SD₁₆	—	4	1	no	—
1470	SD₁₆	—	4	1	no	—
1471	SD₁₆	—	26	2	no	—
1472	SD₁₆	—	52	1	no	—
1473	SD₁₆	—	52	1	no	—
1474	SD₁₆	—	52	1	no	—
1475	SD₁₆	—	52	1	no	—
1476	SD₁₆	—	52	1	no	—
1477	SD₁₆	—	52	1	no	—
1478	D₈	—	2	2	no	—
1479	D₈	—	4	1	no	—
1480	D₈	—	26	2	no	—
1481	D₈	—	26	2	no	—
1482	D₈	—	52	1	no	—
1483	D₈	—	52	1	no	—
1484	D₈	—	52	1	no	—
1485	D₈	—	52	1	no	—
1486	D₈	—	52	1	no	—
1487	M₁₆	—	4	1	no	—
1488	M₁₆	—	52	1	no	—
1489	C₂×C₈	—	4	1	no	—
1490	C₂×C₈	—	13	1	no	—
1491	C₂×C₈	—	13	1	no	—
1492	C₂×C₈	—	13	1	no	—
1493	C₂×C₈	—	13	1	no	—
1494	C₂×C₈	—	52	1	no	—
1495	C₂×C₈	—	52	1	no	—
1496	C₂×C₈	—	52	1	no	—
1497	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1498	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1499	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1500	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1501	C₄⋊C₄	—	2	1	no	—
1502	C₄⋊C₄	—	2	1	no	—
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	13	1	no	—
1507	C₄⋊C₄	—	13	1	no	—
1508	C₄⋊C₄	—	13	1	no	—
1509	C₄⋊C₄	—	13	1	no	—
1510	C₄⋊C₄	—	13	1	no	—
1511	C₄⋊C₄	—	13	1	no	—
1512	C₄⋊C₄	—	13	1	no	—
1513	C₄⋊C₄	—	13	1	no	—
1514	C₄⋊C₄	—	13	1	no	—
1515	C₄⋊C₄	—	13	1	no	—
1516	C₄⋊C₄	—	13	1	no	—
1517	C₄⋊C₄	—	13	1	no	—
1518	C₄⋊C₄	—	13	1	no	—
1519	C₄⋊C₄	—	26	1	no	—
1520	C₄⋊C₄	—	26	1	no	—
1521	C₄⋊C₄	—	26	1	no	—
1522	C₄⋊C₄	—	26	1	no	—
1523	C₄⋊C₄	—	26	1	no	—
1524	C₄⋊C₄	—	26	1	no	—
1525	C₄⋊C₄	—	26	1	no	—
1526	C₄⋊C₄	—	26	1	no	—
1527	C₄⋊C₄	—	26	1	no	—
1528	C₄⋊C₄	—	26	1	no	—
1529	C₄⋊C₄	—	26	1	no	—
1530	C₄⋊C₄	—	26	1	no	—
1531	C₄⋊C₄	—	26	1	no	—
1532	C₄⋊C₄	—	26	1	no	—
1533	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1534	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1535	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	13	1	no	—
1545	C₂²⋊C₄	—	13	1	no	—
1546	C₂²⋊C₄	—	13	1	no	—
1547	C₂²⋊C₄	—	13	1	no	—
1548	C₂²⋊C₄	—	13	1	no	—
1549	C₂²⋊C₄	—	13	1	no	—
1550	C₂²⋊C₄	—	13	1	no	—
1551	C₂²⋊C₄	—	13	1	no	—
1552	C₂²⋊C₄	—	26	1	no	—
1553	C₂²⋊C₄	—	26	1	no	—
1554	C₂²⋊C₄	—	26	1	no	—
1555	C₂²⋊C₄	—	26	1	no	—
1556	C₂²⋊C₄	—	26	1	no	—
1557	C₂²⋊C₄	—	26	1	no	—
1558	C₂²⋊C₄	—	26	1	no	—
1559	C₂²⋊C₄	—	26	1	no	—
1560	C₂²⋊C₄	—	26	1	no	—
1561	C₂²⋊C₄	—	26	1	no	—
1562	C₂²⋊C₄	—	26	1	no	—
1563	C₂²⋊C₄	—	26	1	no	—
1564	C₂²⋊C₄	—	26	1	no	—
1565	C₂²⋊C₄	—	26	1	no	—
1566	C₂²⋊C₄	—	26	1	no	—
1567	C₂²⋊C₄	—	26	1	no	—
1568	C₂²⋊C₄	—	26	1	no	—
1569	C₂²⋊C₄	—	26	1	no	—
1570	C₂²⋊C₄	—	26	1	no	—
1571	C₂²⋊C₄	—	26	1	no	—
1572	C₂²⋊C₄	—	26	1	no	—
1573	C₂²⋊C₄	—	26	1	no	—
1574	C₂²⋊C₄	—	26	1	no	—
1575	C₂²⋊C₄	—	26	1	no	—
1576	C₂²⋊C₄	—	26	1	no	—
1577	C₂²⋊C₄	—	26	1	no	—
1578	C₂²⋊C₄	—	26	1	no	—
1579	C₂²⋊C₄	—	26	1	no	—
1580	C₂²⋊C₄	—	26	1	no	—
1581	C₂²⋊C₄	—	26	1	no	—
1582	C₂²⋊C₄	—	26	1	no	—
1583	C₂²⋊C₄	—	26	1	no	—
1584	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1585	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1586	C₄²	—	13	1	no	—
1587	C₄²	—	13	1	no	—
1588	C₄²	—	13	1	no	—
1589	C₄²	—	13	1	no	—
1590	C₄²	—	13	1	no	—
1591	C₄²	—	26	1	no	—
1592	C₄²	—	26	1	no	—
1593	C₄²	—	26	1	no	—
1594	C₄²	—	26	1	no	—
1595	C₄²	—	26	1	no	—
1596	C₄²	—	26	1	no	—
1597	C₄²	—	26	1	no	—
1598	C₄²	—	26	1	no	—
1599	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1600	C₁₃	#62011	1	1	yes	characteristic, complemented, Sylow
1601	C₂³	—	2	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	2	1	no	—
1604	C₂³	—	4	2	no	—
1605	C₂³	—	8	1	no	—
1606	C₂³	—	8	1	no	—
1607	C₂³	—	13	1	no	—
1608	C₂³	—	26	1	no	—
1609	C₂³	—	26	1	no	—
1610	C₂³	—	26	1	no	—
1611	C₂³	—	52	2	no	—
1612	C₂³	—	104	1	no	—
1613	C₂³	—	104	1	no	—
1614	C₂³	—	104	1	no	—
1615	C₂³	—	104	1	no	—
1616	C₂³	—	104	1	no	—
1617	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1618	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1619	Q₈	—	2	1	no	—
1620	Q₈	—	2	1	no	—
1621	Q₈	—	2	1	no	—
1622	Q₈	—	2	1	no	—
1623	Q₈	—	2	1	no	—
1624	Q₈	—	2	1	no	—
1625	Q₈	—	26	1	no	—
1626	Q₈	—	26	1	no	—
1627	Q₈	—	52	1	no	—
1628	Q₈	—	52	2	no	—
1629	Q₈	—	104	1	no	—
1630	Q₈	—	104	1	no	—
1631	Q₈	—	104	1	no	—
1632	D₄	—	2	1	no	—
1633	D₄	—	2	1	no	—
1634	D₄	—	2	1	no	—
1635	D₄	—	2	1	no	—
1636	D₄	—	2	1	no	—
1637	D₄	—	4	1	no	—
1638	D₄	—	4	2	no	—
1639	D₄	—	4	2	no	—
1640	D₄	—	8	1	no	—
1641	D₄	—	8	1	no	—
1642	D₄	—	8	1	no	—
1643	D₄	—	26	1	no	—
1644	D₄	—	26	1	no	—
1645	D₄	—	26	1	no	—
1646	D₄	—	26	1	no	—
1647	D₄	—	26	1	no	—
1648	D₄	—	26	1	no	—
1649	D₄	—	52	1	no	—
1650	D₄	—	52	1	no	—
1651	D₄	—	52	2	no	—
1652	D₄	—	52	2	no	—
1653	D₄	—	104	1	no	—
1654	D₄	—	104	1	no	—
1655	D₄	—	104	1	no	—
1656	D₄	—	104	1	no	—
1657	D₄	—	104	1	no	—
1658	D₄	—	104	1	no	—
1659	D₄	—	104	1	no	—
1660	D₄	—	104	1	no	—
1661	D₄	—	104	1	no	—
1662	D₄	—	104	1	no	—
1663	D₄	—	104	1	no	—
1664	D₄	—	104	1	no	—
1665	D₄	—	104	1	no	—
1666	D₄	—	104	1	no	—
1667	D₄	#88251	1	2	yes	—
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	—	4	2	no	—
1678	C₂×C₄	—	8	1	no	—
1679	C₂×C₄	—	8	1	no	—
1680	C₂×C₄	—	8	1	no	—
1681	C₂×C₄	—	8	1	no	—
1682	C₂×C₄	—	13	1	no	—
1683	C₂×C₄	—	13	1	no	—
1684	C₂×C₄	—	13	1	no	—
1685	C₂×C₄	—	13	1	no	—
1686	C₂×C₄	—	13	1	no	—
1687	C₂×C₄	—	13	1	no	—
1688	C₂×C₄	—	13	1	no	—
1689	C₂×C₄	—	26	1	no	—
1690	C₂×C₄	—	26	1	no	—
1691	C₂×C₄	—	26	1	no	—
1692	C₂×C₄	—	26	1	no	—
1693	C₂×C₄	—	26	1	no	—
1694	C₂×C₄	—	26	1	no	—
1695	C₂×C₄	—	26	1	no	—
1696	C₂×C₄	—	52	1	no	—
1697	C₂×C₄	—	52	1	no	—
1698	C₂×C₄	—	52	2	no	—
1699	C₂×C₄	—	104	1	no	—
1700	C₂×C₄	—	104	1	no	—
1701	C₂×C₄	—	104	1	no	—
1702	C₂×C₄	—	104	1	no	—
1703	C₂×C₄	—	104	1	no	—
1704	C₂×C₄	—	104	1	no	—
1705	C₂×C₄	—	104	1	no	—
1706	C₂×C₄	—	104	1	no	—
1707	C₂×C₄	—	104	1	no	—
1708	C₂×C₄	—	104	1	no	—
1709	C₂×C₄	—	104	1	no	—
1710	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1711	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1712	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1713	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1714	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1715	C₈	—	2	1	no	—
1716	C₈	—	2	1	no	—
1717	C₈	—	2	1	no	—
1718	C₈	—	2	1	no	—
1719	C₈	—	26	1	no	—
1720	C₈	—	26	1	no	—
1721	C₈	—	26	1	no	—
1722	C₈	—	26	1	no	—
1723	C₂²	—	2	1	no	—
1724	C₂²	—	2	1	no	—
1725	C₂²	—	2	2	no	—
1726	C₂²	—	2	1	no	—
1727	C₂²	—	2	1	no	—
1728	C₂²	—	2	1	no	—
1729	C₂²	—	2	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	4	1	no	—
1734	C₂²	—	4	1	no	—
1735	C₂²	—	4	1	no	—
1736	C₂²	—	4	1	no	—
1737	C₂²	—	4	1	no	—
1738	C₂²	—	16	2	no	—
1739	C₂²	—	26	1	no	—
1740	C₂²	—	26	1	no	—
1741	C₂²	—	26	1	no	—
1742	C₂²	—	52	1	no	—
1743	C₂²	—	52	1	no	—
1744	C₂²	—	52	1	no	—
1745	C₂²	—	52	1	no	—
1746	C₂²	—	52	1	no	—
1747	C₂²	—	52	1	no	—
1748	C₂²	—	52	1	no	—
1749	C₂²	—	52	1	no	—
1750	C₂²	—	52	1	no	—
1751	C₂²	—	208	2	no	—
1752	C₂²	—	208	2	no	—
1753	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1754	C₄	—	2	1	no	—
1755	C₄	—	2	1	no	—
1756	C₄	—	2	1	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	4	1	no	—
1759	C₄	—	4	1	no	—
1760	C₄	—	4	1	no	—
1761	C₄	—	4	1	no	—
1762	C₄	—	4	1	no	—
1763	C₄	—	26	1	no	—
1764	C₄	—	26	1	no	—
1765	C₄	—	26	1	no	—
1766	C₄	—	26	1	no	—
1767	C₄	—	26	1	no	—
1768	C₄	—	26	1	no	—
1769	C₄	—	26	1	no	—
1770	C₄	—	52	1	no	—
1771	C₄	—	52	1	no	—
1772	C₄	—	52	1	no	—
1773	C₄	—	52	1	no	—
1774	C₄	—	52	1	no	—
1775	C₄	C₂×#88251	1	1	yes	characteristic
1776	C₄	#11719650	1	1	yes	characteristic
1777	C₂	—	4	1	no	—
1778	C₂	—	4	1	no	—
1779	C₂	—	4	2	no	—
1780	C₂	—	8	1	no	—
1781	C₂	—	8	1	no	—
1782	C₂	—	52	1	no	—
1783	C₂	—	104	1	no	—
1784	C₂	—	104	1	no	—
1785	C₂	—	104	1	no	—
1786	C₂	#13128496	1	1	yes	characteristic
1787	C₂	#13129609	1	1	yes	characteristic
1788	C₂	#13129614	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×#3267	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3267	D₁₃
hypocenter	C₁₃	#62011
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3267

Complements

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

N	H ≅ G/N	type
1. #13129429	C₂	semidirect
2. #13128784	C₂	semidirect
3. #13127924	C₂	semidirect
4. #13127901	C₂	semidirect
5. #13127629	C₂	semidirect
6. #13127558	C₂	semidirect
7. #13127028	C₂	semidirect
8. #13126994	C₂	semidirect
9. #13126906	C₂	semidirect
10. #13126867	C₂	semidirect
11. #13126779	C₂	semidirect
12. #13126764	C₂	semidirect
13. #13126541	C₂	semidirect
14. #13126517	C₂	semidirect
15. #13126376	C₂	semidirect
16. #13126325	C₂	semidirect
17. #13126320	C₂	semidirect
18. #13126257	C₂	semidirect
19. #13126244	C₂	semidirect
20. #13126157	C₂	semidirect
21. #13125940	C₂	semidirect
22. #13125936	C₂	semidirect
23. #13125828	C₂	semidirect
24. #13125082	C₂	semidirect
25. #13125078	C₂	semidirect
26. #13124946	C₂	semidirect
27. #13124343	C₂	semidirect
28. #13124341	C₂	semidirect
29. #13124287	C₂	semidirect
30. #13123976	C₂	semidirect
31. C₁₃×#3267	C₂	semidirect
33. C₂×C₁₃×#135	C₂²	semidirect
34. C₁₃×#547	C₂²	semidirect
36. #11719539	C₂²	semidirect
37. #11719537	C₂²	semidirect
39. #11719535	C₂²	semidirect
40. #11719534	C₂²	semidirect
41. #41×Dic₁₃	C₂²	semidirect
47. C₂×SD₁₆×D₁₃	C₂²	semidirect
48. #11719437	C₂²	semidirect
49. #11719429	C₂²	semidirect
50. #11719387	C₂²	semidirect
51. #11719386	C₂²	semidirect
60. #11719338	C₂²	semidirect
62. #11719330	C₂²	semidirect
63. #11719329	C₂²	semidirect
66. #11719321	C₂²	semidirect
69. #11719301	C₂²	semidirect
73. #11719267	C₂²	semidirect
74. #11719264	C₂²	semidirect
75. #11719255	C₂²	semidirect
76. #11719250	C₂²	semidirect
78. D₄×Dic₂₆	C₂²	semidirect
83. C₁₃×#497	C₂²	semidirect
84. C₁₃×#470	C₂²	semidirect
85. C₁₃×#465	C₂²	semidirect
86. C₁₃×#463	C₂²	semidirect
87. C₁₃×#461	C₂²	semidirect
88. C₁₃×#452	C₂²	semidirect
89. C₁₃×#452	C₂²	semidirect
91. C₁₃×#449	C₂²	semidirect
92. C₁₃×#442	C₂²	semidirect
93. C₁₃×#435	C₂²	semidirect
96. #11718899	C₂²	semidirect
97. #11718894	C₂²	semidirect
98. #11718894	C₂²	semidirect
100. #11718852	C₂²	semidirect
101. #11718848	C₂²	semidirect
102. #11718847	C₂²	semidirect
103. #11718846	C₂²	semidirect
104. #11718846	C₂²	semidirect
105. #11718846	C₂²	semidirect
106. #11718845	C₂²	semidirect
107. #11718843	C₂²	semidirect
109. #11718837	C₂²	semidirect
110. #11718835	C₂²	semidirect
112. #11718831	C₂²	semidirect
113. #11718827	C₂²	semidirect
117. #11718826	C₂²	semidirect
118. #11718826	C₂²	semidirect
119. #11718825	C₂²	semidirect
120. #11718825	C₂²	semidirect
121. #11718824	C₂²	semidirect
122. #11718824	C₂²	semidirect
123. #11718823	C₂²	semidirect
124. #11718823	C₂²	semidirect
125. SD₁₆×Dic₁₃	C₂²	semidirect
126. #11718818	C₂²	semidirect
127. #11718817	C₂²	semidirect
128. #11718815	C₂²	semidirect
129. #11718814	C₂²	semidirect
132. #11718811	C₂²	semidirect
133. #11718811	C₂²	semidirect
135. #11718792	C₂²	semidirect
137. #11718780	C₂²	semidirect
138. #11718776	C₂²	semidirect
139. #11718774	C₂²	semidirect
140. #11718772	C₂²	semidirect
141. C₂×#88054	C₂²	semidirect
142. #11718744	C₂²	semidirect
143. #11718742	C₂²	semidirect
144. #11718720	C₂²	semidirect
145. #11718718	C₂²	semidirect
146. #11718712	C₂²	semidirect
148. #11718709	C₂²	semidirect
149. #11718707	C₂²	semidirect
150. #11718706	C₂²	semidirect
151. #11718706	C₂²	semidirect
152. #11718699	C₂²	semidirect
153. #11718698	C₂²	semidirect
156. C₄×#6104	C₂²	semidirect
157. D₄×#1055	C₂²	semidirect
158. #11718669	C₂²	semidirect
159. #11718532	C₂²	semidirect
160. #11718531	C₂²	semidirect
161. #11718527	C₂²	semidirect
162. #11718515	C₂²	semidirect
163. #11718507	C₂²	semidirect
164. #11718505	C₂²	semidirect
165. #11718500	C₂²	semidirect
166. #11718492	C₂²	semidirect
167. #11718480	C₂²	semidirect
168. #11718479	C₂²	semidirect
169. #11718478	C₂²	semidirect
170. #11718468	C₂²	semidirect
171. #11718465	C₂²	semidirect
172. #11718463	C₂²	semidirect
173. #11718459	C₂²	semidirect
174. #11718457	C₂²	semidirect
175. #11718456	C₂²	semidirect
176. #11718456	C₂²	semidirect
177. #11718455	C₂²	semidirect
178. #11718455	C₂²	semidirect
180. #11718447	C₂²	semidirect
183. #11718440	C₂²	semidirect
185. #11718427	C₂²	semidirect
186. #11718426	C₂²	semidirect
187. #11718424	C₂²	semidirect
188. #11718421	C₂²	semidirect
189. #11718419	C₂²	semidirect
190. #11718418	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718395	C₂²	semidirect
195. #11718386	C₂²	semidirect
196. #11718384	C₂²	semidirect
197. #11718381	C₂²	semidirect
198. #11718380	C₂²	semidirect
199. #11718375	C₂²	semidirect
200. #11718372	C₂²	semidirect
201. #11718370	C₂²	semidirect
202. #11718362	C₂²	semidirect
722. #3267	D₁₃	semidirect
863. C₂×#135	C₂×D₁₃	semidirect
883. #547	C₂×D₁₃	semidirect
911. #497	C₂×D₁₃	semidirect
939. #470	C₂×D₁₃	semidirect
950. #465	C₂×D₁₃	semidirect
966. #463	C₂×D₁₃	semidirect
972. #461	C₂×D₁₃	semidirect
982. #452	C₂×D₁₃	semidirect
983. #452	C₂×D₁₃	semidirect
994. #449	C₂×D₁₃	semidirect
1003. #442	C₂×D₁₃	semidirect
1016. #435	C₂×D₁₃	semidirect
1600. C₁₃	#62011	semidirect

Maximal subgroups

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

subgroup	index
#13129429	2
#13128784	2
#13127924	2
#13127901	2
#13127629	2
#13127558	2
#13127028	2
#13126994	2
#13126906	2
#13126867	2
#13126779	2
#13126764	2
#13126541	2
#13126517	2
#13126376	2
#13126325	2
#13126320	2
#13126257	2
#13126244	2
#13126157	2
#13125940	2
#13125936	2
#13125828	2
#13125082	2
#13125078	2
#13124946	2
#13124343	2
#13124341	2
#13124287	2
#13123976	2
C₁₃×#3267	2
#62011	13