Subgroups — #16745324

Order 3328.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128824	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128775	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127713	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127657	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127598	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127220	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127220	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127195	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127096	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127059	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126984	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126924	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126894	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126834	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126542	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126542	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126531	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125461	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125450	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125403	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125064	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125049	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125032	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125017	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125006	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124973	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123813	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123714	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123690	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×SD₁₆×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3394	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#559	C₂²	1	1	yes	characteristic
33	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
34	C₂×#88170	C₂²	1	1	yes	characteristic
35	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
36	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
37	#11719436	C₂²	1	1	yes	characteristic, complemented
38	#11719432	C₂²	1	1	yes	characteristic
39	#11719424	C₂²	1	1	yes	characteristic
40	#11719422	C₂²	1	1	yes	characteristic
41	#11719414	—	2	1	no	—
42	#11719411	—	2	1	no	—
43	#11719407	—	2	1	no	—
44	#11719406	—	2	1	no	—
45	#11719387	C₂²	1	1	yes	characteristic
46	#11719387	C₂²	1	1	yes	characteristic, complemented
47	#11719385	C₂²	1	1	yes	characteristic
48	#11719385	C₂²	1	1	yes	characteristic, complemented
49	#11719384	—	2	1	no	—
50	#11719383	—	2	1	no	—
51	#11719382	C₂²	1	1	yes	characteristic, complemented
52	#11719382	C₂²	1	1	yes	characteristic, complemented
53	#11719381	C₂²	1	1	yes	characteristic
54	#11719381	C₂²	1	1	yes	characteristic
55	#11719366	—	2	1	no	—
56	#11719365	—	2	1	no	—
57	#11719359	—	2	1	no	—
58	D₁₃×#123	—	2	1	no	—
59	#11719345	—	2	1	no	—
60	#11719341	—	2	1	no	—
61	#11719286	C₂²	1	1	yes	characteristic
62	#11719286	C₂²	1	1	yes	characteristic, complemented
63	#11719285	C₂²	1	1	yes	characteristic
64	#11719284	C₂²	1	1	yes	characteristic
65	#11719284	C₂²	1	1	yes	characteristic, complemented
66	#11719279	C₂²	1	1	yes	characteristic
67	#11719277	C₂²	1	1	yes	characteristic, complemented
68	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
69	#11719272	C₂²	1	1	yes	characteristic, complemented
70	#11719263	C₂²	1	1	yes	characteristic
71	#11719263	C₂²	1	1	yes	characteristic
72	#11719261	—	2	1	no	—
73	#11719256	C₂²	1	1	yes	characteristic
74	#11719252	—	2	1	no	—
75	#11719251	C₂²	1	1	yes	characteristic, complemented
76	#11719250	C₂²	1	1	yes	characteristic
77	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
78	#11719236	—	2	1	no	—
79	#11719233	—	2	1	no	—
80	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#492	C₂²	1	1	yes	characteristic
83	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#459	C₂²	1	1	yes	characteristic
89	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
90	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
93	#11718850	C₂²	1	1	yes	characteristic, complemented
94	#11718849	C₂²	1	1	yes	characteristic, complemented
95	#11718848	C₂²	1	1	yes	characteristic
96	#11718848	C₂²	1	1	yes	characteristic
97	#11718847	C₂²	1	1	yes	characteristic, complemented
98	#11718847	C₂²	1	1	yes	characteristic, complemented
99	#11718845	C₂²	1	1	yes	characteristic, complemented
100	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
101	#11718835	C₂²	1	1	yes	characteristic, complemented
102	#11718835	C₂²	1	1	yes	characteristic, complemented
103	#11718832	C₂²	1	1	yes	characteristic
104	#11718832	C₂²	1	1	yes	characteristic
105	#11718832	C₂²	1	1	yes	characteristic, complemented
106	#11718832	C₂²	1	1	yes	characteristic, complemented
107	#11718832	C₂²	1	1	yes	characteristic, complemented
108	#11718832	C₂²	1	1	yes	characteristic, complemented
109	#11718831	C₂²	1	1	yes	characteristic
110	#11718831	C₂²	1	1	yes	characteristic
111	#11718830	C₂²	1	1	yes	characteristic
112	#11718830	C₂²	1	1	yes	characteristic
113	#11718825	C₂²	1	1	yes	characteristic, complemented
114	#11718825	C₂²	1	1	yes	characteristic, complemented
115	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
116	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
117	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
118	#11718820	C₂²	1	1	yes	characteristic
119	#11718819	C₂²	1	1	yes	characteristic, complemented
120	#11718819	C₂²	1	1	yes	characteristic, complemented
121	#11718818	C₂²	1	1	yes	characteristic
122	#11718817	C₂²	1	1	yes	characteristic
123	#11718817	C₂²	1	1	yes	characteristic
124	#11718813	C₂²	1	1	yes	characteristic, complemented
125	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
126	#11718744	C₂²	1	1	yes	characteristic
127	#11718743	C₂²	1	1	yes	characteristic, complemented
128	#11718736	C₂²	1	1	yes	characteristic
129	#11718732	C₂²	1	1	yes	characteristic
130	#11718718	C₂²	1	1	yes	characteristic
131	#11718718	C₂²	1	1	yes	characteristic
132	#11718717	C₂²	1	1	yes	characteristic, complemented
133	#11718717	C₂²	1	1	yes	characteristic, complemented
134	#11718716	C₂²	1	1	yes	characteristic, complemented
135	#11718716	C₂²	1	1	yes	characteristic, complemented
136	#11718715	C₂²	1	1	yes	characteristic, complemented
137	#11718715	C₂²	1	1	yes	characteristic, complemented
138	#11718691	C₂²	1	1	yes	characteristic, complemented
139	#11718687	C₂²	1	1	yes	characteristic
140	C₄×#6106	C₂²	1	1	yes	characteristic
141	#11718685	C₂²	1	1	yes	characteristic, complemented
142	#11718683	C₂²	1	1	yes	characteristic, complemented
143	#11718683	C₂²	1	1	yes	characteristic, complemented
144	#11718681	C₂²	1	1	yes	characteristic, complemented
145	#11718679	C₂²	1	1	yes	characteristic, complemented
146	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
147	#11718675	C₂²	1	1	yes	characteristic
148	#11718670	C₂²	1	1	yes	characteristic, complemented
149	#11718670	C₂²	1	1	yes	characteristic, complemented
150	#11718669	C₂²	1	1	yes	characteristic, complemented
151	#11718521	C₂²	1	1	yes	characteristic, complemented
152	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
153	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
154	#11718513	C₂²	1	1	yes	characteristic
155	#11718511	C₂²	1	1	yes	characteristic, complemented
156	#11718508	C₂²	1	1	yes	characteristic
157	#11718508	C₂²	1	1	yes	characteristic
158	#11718507	C₂²	1	1	yes	characteristic
159	#11718501	C₂²	1	1	yes	characteristic, complemented
160	#11718501	C₂²	1	1	yes	characteristic, complemented
161	#11718499	C₂²	1	1	yes	characteristic, complemented
162	#11718497	C₂²	1	1	yes	characteristic
163	#11718497	C₂²	1	1	yes	characteristic, complemented
164	#11718496	C₂²	1	1	yes	characteristic, complemented
165	#11718490	C₂²	1	1	yes	characteristic, complemented
166	#11718490	C₂²	1	1	yes	characteristic, complemented
167	#11718478	C₂²	1	1	yes	characteristic
168	#11718475	C₂²	1	1	yes	characteristic, complemented
169	#11718475	C₂²	1	1	yes	characteristic, complemented
170	#11718470	C₂²	1	1	yes	characteristic, complemented
171	#11718470	C₂²	1	1	yes	characteristic, complemented
172	#11718466	C₂²	1	1	yes	characteristic, complemented
173	#11718466	C₂²	1	1	yes	characteristic, complemented
174	#11718464	C₂²	1	1	yes	characteristic
175	#11718463	C₂²	1	1	yes	characteristic, complemented
176	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
177	#11718450	C₂²	1	1	yes	characteristic, complemented
178	#11718449	C₂²	1	1	yes	characteristic
179	#11718446	C₂²	1	1	yes	characteristic
180	#11718445	C₂²	1	1	yes	characteristic
181	#11718445	C₂²	1	1	yes	characteristic, complemented
182	#11718438	C₂²	1	1	yes	characteristic
183	#11718438	C₂²	1	1	yes	characteristic, complemented
184	#11718435	C₂²	1	1	yes	characteristic, complemented
185	#11718435	C₂²	1	1	yes	characteristic, complemented
186	#11718432	C₂²	1	1	yes	characteristic, complemented
187	#11718431	C₂²	1	1	yes	characteristic
188	D₁₃×#102	C₂²	1	1	yes	characteristic
189	#11718419	C₂²	1	1	yes	characteristic, complemented
190	#11718418	C₂²	1	1	yes	characteristic, complemented
191	C₄×#6095	C₂²	1	1	yes	characteristic
192	C₄×#6095	C₂²	1	1	yes	characteristic
193	C₄×#6095	C₂²	1	1	yes	characteristic
194	#11718350	C₂²	1	1	yes	characteristic, complemented
195	#11718350	C₂²	1	1	yes	characteristic, complemented
196	C₈×D₅₂	C₂²	1	1	yes	characteristic
197	C₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
198	C₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
199	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
200	#11718344	C₂²	1	1	yes	characteristic, complemented
201	#11718344	C₂²	1	1	yes	characteristic, complemented
202	#11718341	C₂²	1	1	yes	characteristic, complemented
203	C₂×#6131	C₂³	1	1	yes	characteristic
204	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
206	C₂×#6129	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₁₃	—	2	1	no	—
208	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
210	C₂×#6127	—	2	1	no	—
211	C₂²×C₄×D₁₃	—	2	1	no	—
212	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
221	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×#127	C₂³	1	1	yes	characteristic
223	C₁₃×#126	—	2	1	no	—
224	C₁₃×#126	—	2	1	no	—
225	C₁₃×#124	—	2	1	no	—
226	C₁₃×#124	C₂³	1	1	yes	characteristic
227	C₁₃×#124	C₂³	1	1	yes	characteristic
228	C₁₃×#124	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×C₂²⋊Q₈	—	2	1	no	—
233	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
234	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₁₃×#117	—	2	1	no	—
242	#88201	D₄	1	1	yes	characteristic
243	#88200	—	2	1	no	—
244	#88200	D₄	1	1	yes	characteristic
245	#88200	C₂³	1	1	yes	characteristic
246	#88200	C₂³	1	1	yes	characteristic
247	#88200	C₂³	1	1	yes	characteristic
248	#88200	C₂³	1	1	yes	characteristic
249	#88200	C₂³	1	1	yes	characteristic
250	#88200	C₂³	1	1	yes	characteristic
251	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
252	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
253	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
254	#88198	—	2	1	no	—
255	C₂×#6107	C₂³	1	1	yes	characteristic
256	C₂×#6106	C₂³	1	1	yes	characteristic
257	C₂×#6106	C₂³	1	1	yes	characteristic
258	#88193	—	2	1	no	—
259	#88193	—	2	1	no	—
260	#88192	—	2	1	no	—
261	#88192	C₂³	1	1	yes	characteristic
262	#88192	C₂³	1	1	yes	characteristic
263	#88192	C₂³	1	1	yes	characteristic
264	#88192	C₂³	1	1	yes	characteristic
265	#88192	C₂³	1	1	yes	characteristic
266	#88192	C₂³	1	1	yes	characteristic
267	#88191	—	2	1	no	—
268	#88191	—	2	1	no	—
269	#88189	—	2	1	no	—
270	#88189	—	2	1	no	—
271	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
272	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
273	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×#6105	C₂³	1	1	yes	characteristic
275	C₂×#6105	C₂³	1	1	yes	characteristic
276	C₂×#6104	C₂³	1	1	yes	characteristic
277	#88183	—	2	1	no	—
278	#88183	—	2	1	no	—
279	C₄×C₂²⋊D₁₃	—	2	1	no	—
280	C₄×C₂²⋊D₁₃	—	2	1	no	—
281	C₄×C₂²⋊D₁₃	—	2	1	no	—
282	C₄×C₂²⋊D₁₃	—	2	1	no	—
283	C₄×C₂²⋊D₁₃	—	2	1	no	—
284	C₂×#6103	—	2	1	no	—
285	#88178	—	2	1	no	—
286	C₂×#6101	—	2	1	no	—
287	#88170	—	2	4	no	—
288	SD₁₆×D₁₃	—	2	4	no	—
289	SD₁₆×D₁₃	—	2	4	no	—
290	C₂×#6095	C₂³	1	1	yes	characteristic
291	C₂×#6094	C₂³	1	1	yes	characteristic
292	C₂×#6094	C₂³	1	1	yes	characteristic
293	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
297	#88152	—	2	1	no	—
298	#88152	—	2	1	no	—
299	#88152	D₄	1	1	yes	characteristic
300	#88152	D₄	1	1	yes	characteristic
301	#88150	—	2	1	no	—
302	#88150	—	2	1	no	—
303	#88150	—	2	1	no	—
304	#88150	—	2	1	no	—
305	#88150	—	2	1	no	—
306	#88150	—	2	1	no	—
307	#88149	D₄	1	1	yes	characteristic
308	#88148	—	2	1	no	—
309	#88148	—	2	1	no	—
310	#88148	D₄	1	1	yes	characteristic
311	#88148	D₄	1	1	yes	characteristic
312	#88147	—	2	1	no	—
313	#88147	—	2	1	no	—
314	#88147	C₂³	1	1	yes	characteristic
315	#88146	—	2	1	no	—
316	#88146	C₂³	1	1	yes	characteristic
317	#88146	C₂³	1	1	yes	characteristic
318	C₄⋊C₄×D₁₃	—	2	1	no	—
319	C₄⋊C₄×D₁₃	—	2	1	no	—
320	C₄⋊C₄×D₁₃	—	2	1	no	—
321	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
322	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
323	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
324	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
325	#88144	D₄	1	1	yes	characteristic
326	#88143	—	2	1	no	—
327	#88143	—	2	1	no	—
328	#88143	—	2	1	no	—
329	#88143	—	2	1	no	—
330	#88143	—	2	1	no	—
331	#88143	—	2	1	no	—
332	#88142	—	2	1	no	—
333	#88141	—	2	1	no	—
334	#88141	—	2	1	no	—
335	#88141	—	2	1	no	—
336	#88141	C₂³	1	1	yes	characteristic
337	#88140	—	2	1	no	—
338	#88140	—	2	1	no	—
339	#88139	—	2	1	no	—
340	#88139	—	2	1	no	—
341	#88139	—	2	1	no	—
342	#88139	—	2	1	no	—
343	#88138	—	2	1	no	—
344	#88138	—	2	1	no	—
345	#88138	—	2	1	no	—
346	#88138	—	2	1	no	—
347	#88138	—	2	1	no	—
348	#88138	—	2	1	no	—
349	#88137	—	2	1	no	—
350	#88137	—	2	1	no	—
351	#88137	—	2	1	no	—
352	#88137	—	2	1	no	—
353	#88137	—	2	1	no	—
354	#88137	—	2	1	no	—
355	#88136	—	2	1	no	—
356	#88136	—	2	1	no	—
357	#88135	—	2	1	no	—
358	#88135	—	2	1	no	—
359	#88135	—	2	1	no	—
360	#88135	—	2	1	no	—
361	#88135	—	2	1	no	—
362	#88135	—	2	1	no	—
363	#88135	—	2	1	no	—
364	C₂²⋊C₄×D₁₃	—	2	1	no	—
365	C₂²⋊C₄×D₁₃	—	2	1	no	—
366	C₂²⋊C₄×D₁₃	—	2	1	no	—
367	C₂²⋊C₄×D₁₃	—	2	1	no	—
368	#88133	—	2	1	no	—
369	#88133	—	2	1	no	—
370	#88133	—	2	1	no	—
371	#88133	—	2	1	no	—
372	#88133	—	2	1	no	—
373	#88133	—	2	1	no	—
374	#88132	—	2	1	no	—
375	#88132	—	2	1	no	—
376	#88132	—	2	1	no	—
377	#88132	—	2	1	no	—
378	#88131	—	2	1	no	—
379	#88131	—	2	1	no	—
380	#88131	—	2	1	no	—
381	#88130	—	2	1	no	—
382	#88130	—	2	1	no	—
383	C₄×D₅₂	—	2	1	no	—
384	C₄×D₅₂	—	2	1	no	—
385	C₄×D₅₂	C₂³	1	1	yes	characteristic
386	C₄×D₅₂	C₂³	1	1	yes	characteristic
387	C₄×D₅₂	C₂³	1	1	yes	characteristic
388	C₄×D₅₂	C₂³	1	1	yes	characteristic
389	C₄×D₅₂	C₂³	1	1	yes	characteristic
390	C₄×D₅₂	C₂³	1	1	yes	characteristic
391	#88126	—	2	1	no	—
392	#88126	—	2	1	no	—
393	#88126	—	2	1	no	—
394	#88126	—	2	1	no	—
395	#88126	C₂³	1	1	yes	characteristic
396	#88126	C₂³	1	1	yes	characteristic
397	C₄²×D₁₃	—	2	1	no	—
398	C₄²×D₁₃	C₂³	1	1	yes	characteristic
399	#88124	—	2	1	no	—
400	#88124	C₂³	1	1	yes	characteristic
401	#88124	C₂³	1	1	yes	characteristic
402	#88124	C₂³	1	1	yes	characteristic
403	#88124	C₂³	1	1	yes	characteristic
404	#88123	C₂³	1	1	yes	characteristic
405	#88123	C₂³	1	1	yes	characteristic
406	C₄×Dic₂₆	—	2	1	no	—
407	C₄×Dic₂₆	—	2	1	no	—
408	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
409	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	C₁₃×#106	C₂³	1	1	yes	characteristic
412	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
413	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
414	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
415	C₁₃×#103	C₂³	1	1	yes	characteristic
416	C₁₃×#103	C₂³	1	1	yes	characteristic
417	C₁₃×#103	C₂³	1	1	yes	characteristic
418	C₁₃×#102	C₂³	1	1	yes	characteristic
419	C₁₃×#102	C₂³	1	1	yes	characteristic
420	C₁₃×#102	C₂³	1	1	yes	characteristic
421	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
422	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
423	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
424	#88075	C₂³	1	1	yes	characteristic
425	#88075	C₂³	1	1	yes	characteristic
426	#88075	C₂³	1	1	yes	characteristic
427	#88075	C₂³	1	1	yes	characteristic
428	#88075	C₂³	1	1	yes	characteristic
429	#88075	C₂³	1	1	yes	characteristic
430	#88075	C₂³	1	1	yes	characteristic
431	#88075	C₂³	1	1	yes	characteristic
432	#88075	C₂³	1	1	yes	characteristic
433	#88072	C₂³	1	1	yes	characteristic
434	#88072	C₂³	1	1	yes	characteristic
435	#88072	C₂³	1	1	yes	characteristic
436	#88072	C₂³	1	1	yes	characteristic
437	#88072	C₂³	1	1	yes	characteristic
438	#88072	C₂³	1	1	yes	characteristic
439	#88072	C₂³	1	1	yes	characteristic
440	#88072	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	#88061	C₂³	1	1	yes	characteristic
443	#88061	C₂³	1	1	yes	characteristic
444	#88061	C₂³	1	1	yes	characteristic
445	#88060	C₂³	1	1	yes	characteristic
446	#88060	C₂³	1	1	yes	characteristic
447	#88060	C₂³	1	1	yes	characteristic
448	#88060	C₂³	1	1	yes	characteristic
449	#88060	C₂³	1	1	yes	characteristic
450	#88060	C₂³	1	1	yes	characteristic
451	#88058	C₂³	1	1	yes	characteristic
452	#88058	C₂³	1	1	yes	characteristic
453	#88058	C₂³	1	1	yes	characteristic
454	#88058	C₂³	1	1	yes	characteristic
455	#88057	C₂³	1	1	yes	characteristic
456	#88057	C₂³	1	1	yes	characteristic
457	#88057	C₂³	1	1	yes	characteristic
458	#88057	C₂³	1	1	yes	characteristic
459	#88057	C₂³	1	1	yes	characteristic
460	#88056	C₂³	1	1	yes	characteristic
461	#88056	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88055	C₂³	1	1	yes	characteristic
464	#88055	C₂³	1	1	yes	characteristic
465	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
466	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
467	#88050	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88048	C₂³	1	1	yes	characteristic
470	#88048	C₂³	1	1	yes	characteristic
471	#88048	C₂³	1	1	yes	characteristic
472	#88048	C₂³	1	1	yes	characteristic
473	#88047	C₂³	1	1	yes	characteristic
474	#88047	C₂³	1	1	yes	characteristic
475	C₄⋊#1055	C₂³	1	1	yes	characteristic
476	C₄⋊#1055	C₂³	1	1	yes	characteristic
477	C₄⋊#1055	C₂³	1	1	yes	characteristic
478	#88043	C₂³	1	1	yes	characteristic
479	#88043	C₂³	1	1	yes	characteristic
480	C₄×#1055	C₂³	1	1	yes	characteristic
481	#61472	—	13	1	no	maximal, Sylow
482	C₂³×D₁₃	—	2	1	no	—
483	C₂³×D₁₃	—	2	1	no	—
484	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
485	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
486	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
487	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
488	C₂×D₄×C₁₃	—	2	1	no	—
489	C₂×D₄×C₁₃	—	2	1	no	—
490	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
491	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
492	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₁₃	—	2	1	no	—
494	C₂²×C₄×C₁₃	—	2	1	no	—
495	C₂²×C₄×C₁₃	—	2	1	no	—
496	C₂×C₂²⋊D₁₃	—	2	1	no	—
497	C₂×C₂²⋊D₁₃	—	2	1	no	—
498	C₂×C₂²⋊D₁₃	—	2	1	no	—
499	C₂×C₂²⋊D₁₃	—	2	1	no	—
500	C₂×C₂²⋊D₁₃	—	2	1	no	—
501	C₂×C₂²⋊D₁₃	—	2	1	no	—
502	C₂×C₂²⋊D₁₃	—	2	1	no	—
503	C₂×C₂²⋊D₁₃	—	2	1	no	—
504	C₂×C₂²⋊D₁₃	—	2	1	no	—
505	C₂²×Dic₁₃	—	2	1	no	—
506	C₂²×Dic₁₃	—	2	1	no	—
507	C₂²×Dic₁₃	—	2	1	no	—
508	C₂²×Dic₁₃	—	2	1	no	—
509	#6131	—	2	2	no	—
510	#6131	—	4	1	no	—
511	Q₈×D₁₃	—	2	2	no	—
512	Q₈×D₁₃	—	2	2	no	—
513	Q₈×D₁₃	—	4	1	no	—
514	Q₈×D₁₃	—	4	1	no	—
515	#6129	—	2	2	no	—
516	#6129	—	4	1	no	—
517	D₄×D₁₃	—	2	2	no	—
518	D₄×D₁₃	—	2	2	no	—
519	D₄×D₁₃	—	4	1	no	—
520	D₄×D₁₃	—	4	1	no	—
521	D₄×D₁₃	—	8	2	no	—
522	#6127	—	8	2	no	—
523	C₂×D₅₂	—	2	1	no	—
524	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
525	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
526	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
527	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
528	C₂×C₄×D₁₃	—	2	1	no	—
529	C₂×C₄×D₁₃	—	2	1	no	—
530	C₂×C₄×D₁₃	—	2	1	no	—
531	C₂×C₄×D₁₃	—	2	1	no	—
532	C₂×C₄×D₁₃	—	2	1	no	—
533	C₂×C₄×D₁₃	—	2	1	no	—
534	C₂×C₄×D₁₃	—	2	1	no	—
535	C₂×C₄×D₁₃	—	2	1	no	—
536	C₂×C₄×D₁₃	—	2	1	no	—
537	C₂×C₄×D₁₃	—	2	1	no	—
538	C₂×C₄×D₁₃	—	2	1	no	—
539	C₂×C₄×D₁₃	—	8	2	no	—
540	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
543	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
544	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
545	C₂×Dic₂₆	—	2	1	no	—
546	C₂×Dic₂₆	—	2	1	no	—
547	C₂×Dic₂₆	—	2	1	no	—
548	C₂×Dic₂₆	—	2	1	no	—
549	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
550	C₁₃×Q₁₆	—	4	1	no	—
551	C₁₃×Q₁₆	—	4	1	no	—
552	C₁₃×SD₁₆	—	2	2	no	—
553	C₁₃×SD₁₆	—	2	2	no	—
554	C₁₃×SD₁₆	—	2	2	no	—
555	C₁₃×SD₁₆	—	4	1	no	—
556	C₁₃×SD₁₆	—	4	1	no	—
557	C₁₃×D₈	—	4	1	no	—
558	C₁₃×D₈	—	4	1	no	—
559	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
560	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
561	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
562	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
563	C₁₃×C₄⋊C₄	—	2	1	no	—
564	C₁₃×C₄⋊C₄	—	2	1	no	—
565	C₁₃×C₄⋊C₄	—	2	1	no	—
566	C₁₃×C₄⋊C₄	—	2	1	no	—
567	C₁₃×C₄⋊C₄	—	2	1	no	—
568	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
569	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
570	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
571	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
572	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
573	C₁₃×C₂²⋊C₄	—	2	1	no	—
574	C₁₃×C₂²⋊C₄	—	2	1	no	—
575	C₁₃×C₂²⋊C₄	—	2	1	no	—
576	C₁₃×C₂²⋊C₄	—	2	1	no	—
577	C₁₃×C₂²⋊C₄	—	2	1	no	—
578	C₁₃×C₂²⋊C₄	—	2	1	no	—
579	C₁₃×C₂²⋊C₄	—	2	1	no	—
580	C₁₃×C₂²⋊C₄	—	2	1	no	—
581	C₁₃×C₂²⋊C₄	—	2	1	no	—
582	C₁₃×C₂²⋊C₄	—	2	1	no	—
583	C₁₃×C₂²⋊C₄	—	2	1	no	—
584	C₄²×C₁₃	—	2	1	no	—
585	C₄²×C₁₃	—	2	1	no	—
586	C₄²×C₁₃	—	2	1	no	—
587	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
588	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
589	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
590	C₂²⋊Dic₁₃	—	2	1	no	—
591	C₂²⋊Dic₁₃	—	2	1	no	—
592	C₂²⋊Dic₁₃	—	2	1	no	—
593	C₂²⋊Dic₁₃	—	2	1	no	—
594	C₂²⋊Dic₁₃	—	2	1	no	—
595	C₂²⋊Dic₁₃	—	2	1	no	—
596	C₂²⋊Dic₁₃	—	2	1	no	—
597	C₂²⋊Dic₁₃	—	2	1	no	—
598	C₂²⋊Dic₁₃	—	2	1	no	—
599	#6107	—	2	2	no	—
600	#6106	—	2	2	no	—
601	#6106	—	2	2	no	—
602	#6105	—	2	2	no	—
603	#6105	—	2	2	no	—
604	#6104	—	2	2	no	—
605	#6103	—	2	1	no	—
606	#6103	—	2	1	no	—
607	#6103	—	2	1	no	—
608	#6103	—	2	1	no	—
609	#6103	—	2	1	no	—
610	#6103	—	2	1	no	—
611	#6103	—	2	1	no	—
612	#6103	—	2	1	no	—
613	#6103	—	2	1	no	—
614	#6103	—	2	1	no	—
615	#6103	—	2	1	no	—
616	#6103	—	2	1	no	—
617	#6103	C₂×D₄	1	1	yes	characteristic
618	#6103	C₂×D₄	1	1	yes	characteristic
619	#6103	C₂×D₄	1	1	yes	characteristic
620	#6103	C₂×D₄	1	1	yes	characteristic
621	#6103	C₂×D₄	1	1	yes	characteristic
622	#6103	C₂×D₄	1	1	yes	characteristic
623	#6103	C₂×D₄	1	1	yes	characteristic
624	#6103	C₂×D₄	1	1	yes	characteristic
625	#6103	C₂×D₄	1	1	yes	characteristic
626	#6103	C₂×D₄	1	1	yes	characteristic
627	C₄⋊Dic₁₃	—	2	1	no	—
628	C₄⋊Dic₁₃	—	2	1	no	—
629	C₄⋊Dic₁₃	—	2	1	no	—
630	C₄⋊Dic₁₃	—	2	1	no	—
631	C₄⋊Dic₁₃	—	2	1	no	—
632	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
633	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
634	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
635	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
636	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
637	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
638	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
639	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
640	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
641	#6101	—	2	1	no	—
642	#6101	—	2	1	no	—
643	#6101	—	2	1	no	—
644	#6101	—	2	1	no	—
645	#6101	—	2	1	no	—
646	#6101	—	2	1	no	—
647	#6101	—	2	1	no	—
648	#6101	—	2	1	no	—
649	#6101	—	2	1	no	—
650	#6101	—	2	1	no	—
651	#6101	—	2	1	no	—
652	#6101	—	2	1	no	—
653	#6101	—	2	1	no	—
654	#6101	—	2	1	no	—
655	#6101	—	2	1	no	—
656	#6101	—	2	1	no	—
657	#6101	—	2	1	no	—
658	#6101	—	2	1	no	—
659	#6101	—	2	1	no	—
660	#6101	—	2	1	no	—
661	#6101	—	2	1	no	—
662	#6101	—	2	1	no	—
663	#6101	C₂×D₄	1	1	yes	characteristic
664	#6101	C₂×D₄	1	1	yes	characteristic
665	#6101	C₂×D₄	1	1	yes	characteristic
666	#6101	C₂×D₄	1	1	yes	characteristic
667	C₄×Dic₁₃	—	2	1	no	—
668	C₄×Dic₁₃	—	2	1	no	—
669	C₄×Dic₁₃	—	2	1	no	—
670	C₄×Dic₁₃	—	2	1	no	—
671	C₄×Dic₁₃	—	2	1	no	—
672	C₄×Dic₁₃	—	2	1	no	—
673	C₄×Dic₁₃	—	2	1	no	—
674	C₄×Dic₁₃	—	2	1	no	—
675	C₄×Dic₁₃	—	2	1	no	—
676	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
677	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
678	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
679	C₂×#1055	C₂⁴	1	1	yes	characteristic
680	C₂×#1055	C₂⁴	1	1	yes	characteristic
681	C₂×#1055	C₂⁴	1	1	yes	characteristic
682	C₂×#1055	C₂⁴	1	1	yes	characteristic
683	#6095	#41	1	4	yes	complemented
684	#6094	—	4	1	no	—
685	#6094	—	4	1	no	—
686	C₈×D₁₃	—	2	2	no	—
687	C₈×D₁₃	—	2	2	no	—
688	C₈×D₁₃	—	2	2	no	—
689	C₈×D₁₃	—	4	1	no	—
690	#3516	—	13	1	no	—
691	#3513	—	13	1	no	—
692	#3394	D₁₃	1	1	yes	characteristic, complemented
693	#3381	—	13	1	no	—
694	#3376	—	13	1	no	—
695	#3371	—	13	1	no	—
696	#3337	—	13	1	no	—
697	#3337	—	13	1	no	—
698	#3335	—	13	1	no	—
699	#3326	—	13	1	no	—
700	#3323	—	13	1	no	—
701	#3318	—	13	1	no	—
702	#3314	—	13	1	no	—
703	#3312	—	13	1	no	—
704	#3308	—	13	1	no	—
705	#3282	—	13	1	no	—
706	#3282	—	13	1	no	—
707	D₄×SD₁₆	—	13	1	no	—
708	#3174	—	13	1	no	—
709	#3173	—	13	1	no	—
710	#3168	—	13	1	no	—
711	#3121	—	13	1	no	—
712	#3120	—	13	1	no	—
713	#3119	—	13	1	no	—
714	#3118	—	13	1	no	—
715	#3117	—	13	1	no	—
716	#3114	—	13	1	no	—
717	#2966	—	13	1	no	—
718	#2952	—	13	1	no	—
719	#2949	—	13	1	no	—
720	C₂×C₄×SD₁₆	—	13	1	no	—
721	C₂³×C₁₃	—	2	1	no	—
722	C₂³×C₁₃	—	2	1	no	—
723	C₂³×C₁₃	—	2	1	no	—
724	C₂²×D₁₃	—	2	1	no	—
725	C₂²×D₁₃	—	4	2	no	—
726	C₂²×D₁₃	—	4	2	no	—
727	C₂²×D₁₃	—	4	2	no	—
728	C₂²×D₁₃	—	8	1	no	—
729	C₂²×D₁₃	—	8	1	no	—
730	C₂²×D₁₃	—	8	1	no	—
731	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
732	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
733	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
734	Q₈×C₁₃	—	2	1	no	—
735	Q₈×C₁₃	—	2	1	no	—
736	Q₈×C₁₃	—	2	1	no	—
737	Q₈×C₁₃	—	2	1	no	—
738	Q₈×C₁₃	—	2	1	no	—
739	Q₈×C₁₃	—	2	1	no	—
740	Q₈×C₁₃	—	4	1	no	—
741	D₄×C₁₃	—	2	1	no	—
742	D₄×C₁₃	—	2	1	no	—
743	D₄×C₁₃	—	2	1	no	—
744	D₄×C₁₃	—	2	1	no	—
745	D₄×C₁₃	—	2	1	no	—
746	D₄×C₁₃	—	2	1	no	—
747	D₄×C₁₃	—	8	1	no	—
748	D₄×C₁₃	—	8	1	no	—
749	C₂×C₄×C₁₃	—	2	1	no	—
750	C₂×C₄×C₁₃	—	2	1	no	—
751	C₂×C₄×C₁₃	—	2	1	no	—
752	C₂×C₄×C₁₃	—	2	1	no	—
753	C₂×C₄×C₁₃	—	2	1	no	—
754	C₂×C₄×C₁₃	—	8	1	no	—
755	C₂×C₄×C₁₃	—	8	1	no	—
756	C₂×C₄×C₁₃	—	8	1	no	—
757	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
758	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
759	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
760	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
761	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
762	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
763	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
764	C₂²⋊D₁₃	—	4	2	no	—
765	C₂²⋊D₁₃	—	4	2	no	—
766	C₂²⋊D₁₃	—	4	2	no	—
767	C₂²⋊D₁₃	—	4	2	no	—
768	C₂²⋊D₁₃	—	4	2	no	—
769	C₂²⋊D₁₃	—	8	1	no	—
770	C₂²⋊D₁₃	—	8	1	no	—
771	C₂²⋊D₁₃	—	8	1	no	—
772	C₂²⋊D₁₃	—	8	1	no	—
773	C₂×Dic₁₃	—	2	1	no	—
774	C₂×Dic₁₃	—	2	1	no	—
775	C₂×Dic₁₃	—	2	1	no	—
776	C₂×Dic₁₃	—	2	1	no	—
777	C₂×Dic₁₃	—	2	1	no	—
778	C₂×Dic₁₃	—	2	1	no	—
779	C₂×Dic₁₃	—	2	1	no	—
780	C₂×Dic₁₃	—	4	2	no	—
781	C₂×Dic₁₃	—	8	1	no	—
782	C₂×Dic₁₃	—	8	1	no	—
783	C₂×Dic₁₃	—	8	1	no	—
784	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
786	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
787	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
789	D₅₂	—	2	2	no	—
790	D₅₂	—	2	2	no	—
791	D₅₂	—	2	1	no	—
792	D₅₂	—	4	1	no	—
793	D₅₂	—	4	2	no	—
794	D₅₂	C₂×#41	1	2	yes	—
795	C₄×D₁₃	—	2	2	no	—
796	C₄×D₁₃	—	2	1	no	—
797	C₄×D₁₃	—	2	1	no	—
798	C₄×D₁₃	—	2	1	no	—
799	C₄×D₁₃	—	2	1	no	—
800	C₄×D₁₃	—	2	1	no	—
801	C₄×D₁₃	—	2	1	no	—
802	C₄×D₁₃	—	4	1	no	—
803	C₄×D₁₃	—	4	2	no	—
804	C₄×D₁₃	—	4	2	no	—
805	C₄×D₁₃	—	4	2	no	—
806	C₄×D₁₃	—	4	2	no	—
807	C₄×D₁₃	—	8	1	no	—
808	C₄×D₁₃	—	8	1	no	—
809	C₄×D₁₃	—	8	1	no	—
810	C₄×D₁₃	—	8	1	no	—
811	C₄×D₁₃	—	8	1	no	—
812	C₄×D₁₃	—	8	1	no	—
813	C₄×D₁₃	—	8	1	no	—
814	Dic₂₆	—	2	1	no	—
815	Dic₂₆	—	4	2	no	—
816	Dic₂₆	—	4	2	no	—
817	Dic₂₆	—	8	1	no	—
818	Dic₂₆	—	8	1	no	—
819	Dic₂₆	C₂×#41	1	2	yes	—
820	C₈×C₁₃	—	2	1	no	—
821	C₈×C₁₃	—	2	1	no	—
822	C₈×C₁₃	—	2	1	no	—
823	C₈×C₁₃	C₂×#41	1	2	yes	—
824	#1055	—	2	1	no	—
825	#1055	—	2	1	no	—
826	#1055	—	2	1	no	—
827	#1055	—	2	1	no	—
828	C₂×#135	—	13	1	no	—
829	C₂²×SD₁₆	—	13	1	no	—
830	C₂²×SD₁₆	—	13	1	no	—
831	#559	C₂×D₁₃	1	1	yes	characteristic
832	#557	—	13	1	no	—
833	#556	—	26	1	no	—
834	#556	C₂×D₁₃	1	1	yes	characteristic, complemented
835	#554	—	13	1	no	—
836	#554	—	13	1	no	—
837	#554	—	26	1	no	—
838	#553	—	13	1	no	—
839	#553	—	13	1	no	—
840	#553	—	26	1	no	—
841	#553	—	26	1	no	—
842	#552	—	13	1	no	—
843	#552	—	13	1	no	—
844	#552	—	26	1	no	—
845	#551	—	26	1	no	—
846	#551	—	26	1	no	—
847	D₄×Q₈	—	13	1	no	—
848	#548	—	13	1	no	—
849	#548	—	13	1	no	—
850	#547	—	13	1	no	—
851	#546	—	13	1	no	—
852	#546	—	13	1	no	—
853	#546	—	26	1	no	—
854	D₄²	—	13	1	no	—
855	#542	—	13	1	no	—
856	#542	—	13	1	no	—
857	#542	—	26	1	no	—
858	#541	—	13	1	no	—
859	#541	—	26	1	no	—
860	#540	—	13	1	no	—
861	#539	—	26	1	no	—
862	#538	—	26	1	no	—
863	#529	—	13	1	no	—
864	#529	—	13	1	no	—
865	#529	—	13	1	no	—
866	#529	—	26	1	no	—
867	#529	—	26	1	no	—
868	#525	—	26	1	no	—
869	C₂×#123	—	26	1	no	—
870	#520	—	13	1	no	—
871	#520	—	13	1	no	—
872	#519	—	13	1	no	—
873	#518	—	13	1	no	—
874	C₂×C₄×Q₈	—	13	1	no	—
875	C₂×C₄×D₄	—	13	1	no	—
876	#499	—	13	1	no	—
877	#499	—	13	1	no	—
878	#498	—	13	1	no	—
879	#495	C₂×D₁₃	1	1	yes	characteristic, complemented
880	#495	C₂×D₁₃	1	1	yes	characteristic, complemented
881	#492	C₂×D₁₃	1	1	yes	characteristic
882	#491	—	13	1	no	—
883	#490	—	13	1	no	—
884	#489	—	13	1	no	—
885	#489	—	13	1	no	—
886	#488	—	13	1	no	—
887	#488	—	13	1	no	—
888	#485	—	13	1	no	—
889	#485	—	13	1	no	—
890	#484	—	13	1	no	—
891	#484	—	13	1	no	—
892	#483	—	13	1	no	—
893	#483	—	13	1	no	—
894	#482	—	13	1	no	—
895	#482	—	13	1	no	—
896	#481	—	13	1	no	—
897	#481	—	13	1	no	—
898	#480	—	13	1	no	—
899	#480	—	13	1	no	—
900	#479	—	13	1	no	—
901	#479	—	13	1	no	—
902	#479	—	13	1	no	—
903	#479	—	13	1	no	—
904	#478	—	13	1	no	—
905	#478	—	13	1	no	—
906	#478	—	13	1	no	—
907	#478	—	13	1	no	—
908	#477	—	13	1	no	—
909	#476	—	13	1	no	—
910	#475	—	13	1	no	—
911	#474	—	13	1	no	—
912	#470	—	13	1	no	—
913	#469	—	13	1	no	—
914	#468	—	13	1	no	—
915	#468	—	13	1	no	—
916	#467	—	13	1	no	—
917	#466	—	13	1	no	—
918	#465	—	13	1	no	—
919	#465	—	13	1	no	—
920	#465	—	13	1	no	—
921	#465	—	13	1	no	—
922	#465	—	13	1	no	—
923	#465	—	13	1	no	—
924	#464	—	13	1	no	—
925	#464	—	13	1	no	—
926	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
927	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
928	#463	—	13	1	no	—
929	#463	—	13	1	no	—
930	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
931	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
932	#462	C₂×D₁₃	1	1	yes	characteristic, complemented
933	#461	—	13	1	no	—
934	#460	—	13	1	no	—
935	#459	C₂×D₁₃	1	1	yes	characteristic
936	#452	—	13	1	no	—
937	#452	—	13	1	no	—
938	#451	—	13	1	no	—
939	#451	—	13	1	no	—
940	#450	—	13	1	no	—
941	#450	—	13	1	no	—
942	#449	—	13	1	no	—
943	#449	—	13	1	no	—
944	#448	—	13	1	no	—
945	#448	—	13	1	no	—
946	#447	—	13	1	no	—
947	#447	—	13	1	no	—
948	#446	—	13	1	no	—
949	C₈×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
950	#442	—	13	1	no	—
951	#442	—	13	1	no	—
952	#442	—	13	1	no	—
953	#441	—	13	1	no	—
954	#441	—	13	1	no	—
955	#441	—	13	1	no	—
956	#440	—	13	1	no	—
957	#440	—	13	1	no	—
958	#440	—	13	1	no	—
959	#440	—	13	1	no	—
960	#440	—	13	1	no	—
961	#440	—	13	1	no	—
962	C₄×Q₁₆	—	13	1	no	—
963	C₄×SD₁₆	—	13	1	no	—
964	C₄×SD₁₆	—	13	1	no	—
965	C₄×SD₁₆	—	13	1	no	—
966	C₄×SD₁₆	—	13	1	no	—
967	C₄×SD₁₆	—	13	1	no	—
968	C₄×SD₁₆	—	13	1	no	—
969	C₄×SD₁₆	—	13	1	no	—
970	C₄×SD₁₆	—	13	1	no	—
971	C₄×SD₁₆	—	13	1	no	—
972	C₄×SD₁₆	—	13	1	no	—
973	C₄×SD₁₆	—	13	1	no	—
974	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
975	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
976	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
977	C₄×D₈	—	13	1	no	—
978	#436	—	13	1	no	—
979	#435	—	13	1	no	—
980	#435	—	13	1	no	—
981	C₈×D₄	—	13	1	no	—
982	C₈×D₄	—	13	1	no	—
983	C₈×D₄	—	13	1	no	—
984	#433	—	13	1	no	—
985	#433	—	13	1	no	—
986	#432	—	13	1	no	—
987	#427	—	13	1	no	—
988	C₂×#106	—	13	1	no	—
989	C₂×#106	—	13	1	no	—
990	#419	—	13	1	no	—
991	#418	—	13	1	no	—
992	#417	—	13	1	no	—
993	#417	—	13	1	no	—
994	C₂×#103	—	13	1	no	—
995	C₂×#102	—	13	1	no	—
996	#405	—	13	1	no	—
997	#405	—	13	1	no	—
998	C₂×C₄×C₈	—	13	1	no	—
999	C₂²×C₁₃	—	4	1	no	—
1000	C₂²×C₁₃	—	4	1	no	—
1001	C₂²×C₁₃	—	4	1	no	—
1002	C₂²×C₁₃	—	4	1	no	—
1003	C₂²×C₁₃	—	4	1	no	—
1004	C₂²×C₁₃	—	4	1	no	—
1005	C₂²×C₁₃	—	4	1	no	—
1006	C₂²×C₁₃	—	4	1	no	—
1007	C₂²×C₁₃	—	4	1	no	—
1008	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1009	C₂×D₁₃	—	2	1	no	—
1010	C₂×D₁₃	—	2	1	no	—
1011	C₂×D₁₃	—	2	1	no	—
1012	C₂×D₁₃	—	2	1	no	—
1013	C₂×D₁₃	—	2	1	no	—
1014	C₂×D₁₃	—	2	1	no	—
1015	C₂×D₁₃	—	2	2	no	—
1016	C₂×D₁₃	—	2	1	no	—
1017	C₂×D₁₃	—	2	1	no	—
1018	C₂×D₁₃	—	4	1	no	—
1019	C₂×D₁₃	—	4	1	no	—
1020	C₂×D₁₃	—	8	4	no	—
1021	C₂×D₁₃	—	16	2	no	—
1022	C₂×D₁₃	#577	1	2	yes	—
1023	C₄×C₁₃	—	2	1	no	—
1024	C₄×C₁₃	—	2	1	no	—
1025	C₄×C₁₃	—	2	1	no	—
1026	C₄×C₁₃	—	2	1	no	—
1027	C₄×C₁₃	—	2	1	no	—
1028	C₄×C₁₃	—	2	1	no	—
1029	C₄×C₁₃	—	4	1	no	—
1030	C₄×C₁₃	—	4	1	no	—
1031	C₄×C₁₃	—	4	1	no	—
1032	C₄×C₁₃	—	4	1	no	—
1033	C₄×C₁₃	—	4	1	no	—
1034	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1035	C₄×C₁₃	#585	1	1	yes	characteristic
1036	Dic₁₃	—	2	1	no	—
1037	Dic₁₃	—	2	2	no	—
1038	Dic₁₃	—	2	1	no	—
1039	Dic₁₃	—	2	1	no	—
1040	Dic₁₃	—	2	1	no	—
1041	Dic₁₃	—	2	1	no	—
1042	Dic₁₃	—	4	1	no	—
1043	Dic₁₃	—	4	1	no	—
1044	Dic₁₃	—	4	1	no	—
1045	Dic₁₃	—	4	1	no	—
1046	Dic₁₃	—	4	1	no	—
1047	Dic₁₃	—	4	1	no	—
1048	C₂×#41	—	13	1	no	—
1049	C₂×#41	—	13	1	no	—
1050	C₂×#41	—	26	1	no	—
1051	C₂²×Q₈	—	13	1	no	—
1052	C₂²×Q₈	—	13	1	no	—
1053	C₂²×D₄	—	13	1	no	—
1054	C₂²×D₄	—	13	1	no	—
1055	C₂²×D₄	—	26	1	no	—
1056	C₂³×C₄	—	26	1	no	—
1057	#135	—	26	4	no	—
1058	C₂×Q₁₆	—	13	1	no	—
1059	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1060	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1061	C₂×SD₁₆	—	13	1	no	—
1062	C₂×SD₁₆	—	13	1	no	—
1063	C₂×SD₁₆	—	13	1	no	—
1064	C₂×SD₁₆	—	13	1	no	—
1065	C₂×SD₁₆	—	13	1	no	—
1066	C₂×SD₁₆	—	26	4	no	—
1067	C₂×SD₁₆	—	26	4	no	—
1068	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1069	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1070	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1071	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1072	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1073	C₂×D₈	—	13	1	no	—
1074	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1075	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1076	C₂×M₁₆	—	13	1	no	—
1077	C₂×M₁₆	—	13	1	no	—
1078	C₂²×C₈	—	13	1	no	—
1079	C₂²×C₈	—	13	1	no	—
1080	C₂²×C₈	—	13	1	no	—
1081	C₂²×C₈	—	13	1	no	—
1082	C₄⋊Q₈	—	13	1	no	—
1083	C₄⋊Q₈	—	13	1	no	—
1084	C₄⋊Q₈	—	26	1	no	—
1085	C₄⋊Q₈	—	26	1	no	—
1086	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1087	#127	C₂²×D₁₃	1	1	yes	characteristic
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	13	1	no	—
1091	#126	—	13	1	no	—
1092	#126	—	26	1	no	—
1093	#126	—	26	1	no	—
1094	#126	—	26	1	no	—
1095	#126	—	26	1	no	—
1096	#126	—	26	1	no	—
1097	#126	—	26	1	no	—
1098	#126	—	26	1	no	—
1099	#126	—	26	1	no	—
1100	#126	—	26	1	no	—
1101	#126	—	26	1	no	—
1102	#125	—	13	1	no	—
1103	#125	—	13	1	no	—
1104	#125	—	13	1	no	—
1105	#125	—	13	1	no	—
1106	#125	—	13	1	no	—
1107	#125	—	26	1	no	—
1108	#125	—	26	1	no	—
1109	#125	—	26	1	no	—
1110	#125	—	26	1	no	—
1111	#125	—	26	1	no	—
1112	#125	—	26	1	no	—
1113	#125	—	26	1	no	—
1114	#124	—	2	1	no	—
1115	#124	—	13	1	no	—
1116	#124	—	26	1	no	—
1117	#124	—	26	1	no	—
1118	#124	—	26	1	no	—
1119	#124	—	26	1	no	—
1120	#124	C₂²×D₁₃	1	1	yes	characteristic
1121	#124	C₂²×D₁₃	1	1	yes	characteristic
1122	#124	C₂²×D₁₃	1	1	yes	characteristic
1123	#124	C₂²×D₁₃	1	1	yes	characteristic
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	13	1	no	—
1127	#123	—	13	1	no	—
1128	#123	—	26	1	no	—
1129	#123	—	26	1	no	—
1130	#123	—	26	1	no	—
1131	#123	—	26	1	no	—
1132	#123	—	26	1	no	—
1133	#123	—	26	1	no	—
1134	#123	—	26	1	no	—
1135	#123	—	26	1	no	—
1136	#123	—	26	1	no	—
1137	#123	—	26	1	no	—
1138	#123	—	26	1	no	—
1139	#123	—	26	1	no	—
1140	#123	—	26	1	no	—
1141	#123	—	26	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	13	1	no	—
1144	C₂²⋊Q₈	—	13	1	no	—
1145	C₂²⋊Q₈	—	13	1	no	—
1146	C₂²⋊Q₈	—	13	1	no	—
1147	C₂²⋊Q₈	—	13	1	no	—
1148	C₂²⋊Q₈	—	13	1	no	—
1149	C₂²⋊Q₈	—	13	1	no	—
1150	C₂²⋊Q₈	—	26	1	no	—
1151	C₂²⋊Q₈	—	26	1	no	—
1152	C₂²⋊Q₈	—	26	1	no	—
1153	C₂²⋊Q₈	—	26	1	no	—
1154	C₂²⋊Q₈	—	26	1	no	—
1155	C₂²⋊Q₈	—	26	1	no	—
1156	C₂²⋊Q₈	—	26	1	no	—
1157	C₂²⋊Q₈	—	26	1	no	—
1158	C₂²⋊Q₈	—	26	1	no	—
1159	C₂²⋊Q₈	—	26	1	no	—
1160	C₂²⋊Q₈	—	26	1	no	—
1161	C₂²⋊Q₈	—	26	1	no	—
1162	#121	—	13	1	no	—
1163	#121	—	13	1	no	—
1164	#121	—	13	1	no	—
1165	#121	—	13	1	no	—
1166	#121	—	13	1	no	—
1167	#121	—	13	1	no	—
1168	#121	—	13	1	no	—
1169	#121	—	26	1	no	—
1170	#121	—	26	1	no	—
1171	#121	—	26	1	no	—
1172	#121	—	26	1	no	—
1173	#121	—	26	1	no	—
1174	#121	—	26	1	no	—
1175	#121	—	26	1	no	—
1176	#121	—	26	1	no	—
1177	#121	—	26	1	no	—
1178	#120	—	26	1	no	—
1179	#120	—	26	1	no	—
1180	#120	—	26	1	no	—
1181	#120	—	26	1	no	—
1182	C₄×Q₈	—	13	1	no	—
1183	C₄×Q₈	—	13	1	no	—
1184	C₄×Q₈	—	13	1	no	—
1185	C₄×Q₈	—	13	1	no	—
1186	C₄×Q₈	—	13	1	no	—
1187	C₄×Q₈	—	13	1	no	—
1188	C₄×Q₈	—	13	1	no	—
1189	C₄×Q₈	—	26	1	no	—
1190	C₄×Q₈	—	26	1	no	—
1191	C₄×Q₈	—	26	1	no	—
1192	C₄×Q₈	—	26	1	no	—
1193	C₄×Q₈	—	26	1	no	—
1194	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1195	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1196	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1197	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	13	1	no	—
1200	C₄×D₄	—	13	1	no	—
1201	C₄×D₄	—	13	1	no	—
1202	C₄×D₄	—	13	1	no	—
1203	C₄×D₄	—	13	1	no	—
1204	C₄×D₄	—	13	1	no	—
1205	C₄×D₄	—	13	1	no	—
1206	C₄×D₄	—	13	1	no	—
1207	C₄×D₄	—	13	1	no	—
1208	C₄×D₄	—	13	1	no	—
1209	C₄×D₄	—	26	1	no	—
1210	C₄×D₄	—	26	1	no	—
1211	C₄×D₄	—	26	1	no	—
1212	C₄×D₄	—	26	1	no	—
1213	C₄×D₄	—	26	1	no	—
1214	C₄×D₄	—	26	1	no	—
1215	C₄×D₄	—	26	1	no	—
1216	C₄×D₄	—	26	1	no	—
1217	C₄×D₄	—	26	1	no	—
1218	C₄×D₄	—	26	1	no	—
1219	C₄×D₄	—	26	1	no	—
1220	C₄×D₄	—	26	1	no	—
1221	C₄×D₄	—	26	1	no	—
1222	C₄×D₄	—	26	1	no	—
1223	C₄×D₄	—	26	1	no	—
1224	C₄×D₄	—	26	1	no	—
1225	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1226	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1227	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1228	#117	—	2	1	no	—
1229	#117	—	13	1	no	—
1230	#117	—	13	1	no	—
1231	#117	—	13	1	no	—
1232	#117	—	13	1	no	—
1233	#117	—	26	1	no	—
1234	#117	—	26	1	no	—
1235	#117	—	26	1	no	—
1236	#117	—	26	1	no	—
1237	#117	—	26	1	no	—
1238	#117	—	26	1	no	—
1239	#117	—	26	1	no	—
1240	#117	—	26	1	no	—
1241	C₂×C₄⋊C₄	—	13	1	no	—
1242	C₂×C₄⋊C₄	—	13	1	no	—
1243	C₂×C₄⋊C₄	—	13	1	no	—
1244	C₂×C₄⋊C₄	—	13	1	no	—
1245	C₂×C₄⋊C₄	—	26	1	no	—
1246	C₂×C₄⋊C₄	—	26	1	no	—
1247	C₂×C₄⋊C₄	—	26	1	no	—
1248	C₂×C₄⋊C₄	—	26	1	no	—
1249	C₂×C₂²⋊C₄	—	26	1	no	—
1250	C₂×C₂²⋊C₄	—	26	1	no	—
1251	C₂×C₂²⋊C₄	—	26	1	no	—
1252	C₂×C₂²⋊C₄	—	26	1	no	—
1253	C₂×C₂²⋊C₄	—	26	1	no	—
1254	C₂×C₄²	—	13	1	no	—
1255	C₂×C₄²	—	26	1	no	—
1256	#107	—	13	1	no	—
1257	#107	—	13	1	no	—
1258	#107	—	13	1	no	—
1259	#107	—	13	1	no	—
1260	#107	—	13	1	no	—
1261	#107	—	13	1	no	—
1262	#106	—	13	1	no	—
1263	#106	—	13	1	no	—
1264	#106	—	13	1	no	—
1265	#106	—	13	1	no	—
1266	#106	—	13	1	no	—
1267	#106	—	13	1	no	—
1268	#106	—	13	1	no	—
1269	#106	—	13	1	no	—
1270	#106	—	13	1	no	—
1271	#106	C₂²×D₁₃	1	1	yes	characteristic
1272	C₄⋊C₈	—	13	1	no	—
1273	C₄⋊C₈	—	13	1	no	—
1274	C₄⋊C₈	—	13	1	no	—
1275	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1276	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1277	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1278	#103	—	13	1	no	—
1279	#103	—	13	1	no	—
1280	#103	—	13	1	no	—
1281	#103	—	13	1	no	—
1282	#103	—	13	1	no	—
1283	#103	—	13	1	no	—
1284	#103	—	13	1	no	—
1285	#103	—	13	1	no	—
1286	#103	—	13	1	no	—
1287	#103	—	13	1	no	—
1288	#103	—	13	1	no	—
1289	#103	—	13	1	no	—
1290	#103	—	13	1	no	—
1291	#103	C₂²×D₁₃	1	1	yes	characteristic
1292	#103	C₂²×D₁₃	1	1	yes	characteristic
1293	#103	C₂²×D₁₃	1	1	yes	characteristic
1294	#102	—	13	1	no	—
1295	#102	—	13	1	no	—
1296	#102	—	13	1	no	—
1297	#102	—	13	1	no	—
1298	#102	—	13	1	no	—
1299	#102	—	13	1	no	—
1300	#102	—	13	1	no	—
1301	#102	—	13	1	no	—
1302	#102	—	13	1	no	—
1303	#102	—	13	1	no	—
1304	#102	—	13	1	no	—
1305	#102	—	13	1	no	—
1306	#102	—	13	1	no	—
1307	#102	C₂²×D₁₃	1	1	yes	characteristic
1308	#102	C₂²×D₁₃	1	1	yes	characteristic
1309	#102	C₂²×D₁₃	1	1	yes	characteristic
1310	C₂²⋊C₈	—	13	1	no	—
1311	C₂²⋊C₈	—	13	1	no	—
1312	C₂²⋊C₈	—	13	1	no	—
1313	C₂²⋊C₈	—	13	1	no	—
1314	C₂²⋊C₈	—	13	1	no	—
1315	C₂²⋊C₈	—	13	1	no	—
1316	#97	—	13	1	no	—
1317	#97	—	13	1	no	—
1318	#97	—	13	1	no	—
1319	#97	—	13	1	no	—
1320	C₄×C₈	—	13	1	no	—
1321	C₄×C₈	—	13	1	no	—
1322	C₄×C₈	—	13	1	no	—
1323	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1324	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1325	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1326	C₂×C₁₃	—	8	1	no	—
1327	C₂×C₁₃	—	8	1	no	—
1328	C₂×C₁₃	—	8	1	no	—
1329	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1330	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1331	C₂×C₁₃	#3584	1	1	yes	characteristic
1332	D₁₃	—	2	2	no	—
1333	D₁₃	—	4	1	no	—
1334	D₁₃	—	4	1	no	—
1335	D₁₃	—	4	2	no	—
1336	C₂⁴	—	26	1	no	—
1337	C₂⁴	—	26	1	no	—
1338	#41	—	26	2	no	—
1339	#41	—	26	2	no	—
1340	#41	—	52	1	no	—
1341	#41	—	52	1	no	—
1342	#41	—	104	2	no	—
1343	C₂×Q₈	—	13	1	no	—
1344	C₂×Q₈	—	26	1	no	—
1345	C₂×Q₈	—	26	1	no	—
1346	C₂×Q₈	—	26	1	no	—
1347	C₂×Q₈	—	26	1	no	—
1348	C₂×Q₈	—	26	2	no	—
1349	C₂×Q₈	—	26	2	no	—
1350	C₂×Q₈	—	52	1	no	—
1351	C₂×Q₈	—	52	1	no	—
1352	C₂×Q₈	D₄×D₁₃	1	1	yes	characteristic
1353	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1354	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1355	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1356	C₂×D₄	—	2	1	no	—
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	13	1	no	—
1359	C₂×D₄	—	13	1	no	—
1360	C₂×D₄	—	13	1	no	—
1361	C₂×D₄	—	13	1	no	—
1362	C₂×D₄	—	26	1	no	—
1363	C₂×D₄	—	26	1	no	—
1364	C₂×D₄	—	26	1	no	—
1365	C₂×D₄	—	26	2	no	—
1366	C₂×D₄	—	26	2	no	—
1367	C₂×D₄	—	26	1	no	—
1368	C₂×D₄	—	26	1	no	—
1369	C₂×D₄	—	26	1	no	—
1370	C₂×D₄	—	26	1	no	—
1371	C₂×D₄	—	26	1	no	—
1372	C₂×D₄	—	26	1	no	—
1373	C₂×D₄	—	26	1	no	—
1374	C₂×D₄	—	52	1	no	—
1375	C₂×D₄	—	52	1	no	—
1376	C₂×D₄	—	104	2	no	—
1377	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1378	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1379	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1380	C₂²×C₄	—	2	1	no	—
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	13	1	no	—
1384	C₂²×C₄	—	13	1	no	—
1385	C₂²×C₄	—	13	1	no	—
1386	C₂²×C₄	—	13	1	no	—
1387	C₂²×C₄	—	13	1	no	—
1388	C₂²×C₄	—	26	1	no	—
1389	C₂²×C₄	—	26	1	no	—
1390	C₂²×C₄	—	26	1	no	—
1391	C₂²×C₄	—	26	1	no	—
1392	C₂²×C₄	—	26	1	no	—
1393	C₂²×C₄	—	26	1	no	—
1394	C₂²×C₄	—	26	1	no	—
1395	C₂²×C₄	—	26	1	no	—
1396	C₂²×C₄	—	26	1	no	—
1397	C₂²×C₄	—	26	1	no	—
1398	C₂²×C₄	—	26	1	no	—
1399	C₂²×C₄	—	26	1	no	—
1400	C₂²×C₄	—	26	1	no	—
1401	C₂²×C₄	—	26	1	no	—
1402	C₂²×C₄	—	26	1	no	—
1403	C₂²×C₄	—	104	2	no	—
1404	Q₁₆	—	4	1	no	—
1405	Q₁₆	—	4	1	no	—
1406	Q₁₆	—	26	2	no	—
1407	SD₁₆	—	2	2	no	—
1408	SD₁₆	—	2	2	no	—
1409	SD₁₆	—	2	2	no	—
1410	SD₁₆	—	4	1	no	—
1411	SD₁₆	—	4	1	no	—
1412	SD₁₆	—	13	4	no	—
1413	SD₁₆	—	26	2	no	—
1414	SD₁₆	—	26	2	no	—
1415	SD₁₆	—	26	2	no	—
1416	SD₁₆	—	26	2	no	—
1417	D₈	—	4	1	no	—
1418	D₈	—	4	1	no	—
1419	D₈	—	26	2	no	—
1420	M₁₆	—	52	1	no	—
1421	M₁₆	—	52	1	no	—
1422	C₂×C₈	—	13	1	no	—
1423	C₂×C₈	—	13	1	no	—
1424	C₂×C₈	—	13	1	no	—
1425	C₂×C₈	—	13	1	no	—
1426	C₂×C₈	—	26	2	no	—
1427	C₂×C₈	—	26	2	no	—
1428	C₂×C₈	—	26	2	no	—
1429	C₂×C₈	—	52	1	no	—
1430	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1431	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1432	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1433	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	13	1	no	—
1440	C₄⋊C₄	—	13	1	no	—
1441	C₄⋊C₄	—	13	1	no	—
1442	C₄⋊C₄	—	13	1	no	—
1443	C₄⋊C₄	—	13	1	no	—
1444	C₄⋊C₄	—	13	1	no	—
1445	C₄⋊C₄	—	13	1	no	—
1446	C₄⋊C₄	—	13	1	no	—
1447	C₄⋊C₄	—	13	1	no	—
1448	C₄⋊C₄	—	13	1	no	—
1449	C₄⋊C₄	—	13	1	no	—
1450	C₄⋊C₄	—	13	1	no	—
1451	C₄⋊C₄	—	13	1	no	—
1452	C₄⋊C₄	—	26	1	no	—
1453	C₄⋊C₄	—	26	1	no	—
1454	C₄⋊C₄	—	26	1	no	—
1455	C₄⋊C₄	—	26	1	no	—
1456	C₄⋊C₄	—	26	1	no	—
1457	C₄⋊C₄	—	26	1	no	—
1458	C₄⋊C₄	—	26	1	no	—
1459	C₄⋊C₄	—	26	1	no	—
1460	C₄⋊C₄	—	26	1	no	—
1461	C₄⋊C₄	—	26	1	no	—
1462	C₄⋊C₄	—	26	1	no	—
1463	C₄⋊C₄	—	26	1	no	—
1464	C₄⋊C₄	—	26	1	no	—
1465	C₄⋊C₄	—	26	1	no	—
1466	C₄⋊C₄	—	26	1	no	—
1467	C₄⋊C₄	—	26	1	no	—
1468	C₄⋊C₄	—	26	1	no	—
1469	C₄⋊C₄	—	26	1	no	—
1470	C₄⋊C₄	—	26	1	no	—
1471	C₄⋊C₄	—	26	1	no	—
1472	C₄⋊C₄	—	26	1	no	—
1473	C₄⋊C₄	—	26	1	no	—
1474	C₄⋊C₄	—	26	1	no	—
1475	C₄⋊C₄	—	26	1	no	—
1476	C₄⋊C₄	—	26	1	no	—
1477	C₄⋊C₄	—	26	1	no	—
1478	C₄⋊C₄	—	26	1	no	—
1479	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1480	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1481	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1482	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1483	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	13	1	no	—
1496	C₂²⋊C₄	—	13	1	no	—
1497	C₂²⋊C₄	—	13	1	no	—
1498	C₂²⋊C₄	—	13	1	no	—
1499	C₂²⋊C₄	—	13	1	no	—
1500	C₂²⋊C₄	—	13	1	no	—
1501	C₂²⋊C₄	—	13	1	no	—
1502	C₂²⋊C₄	—	13	1	no	—
1503	C₂²⋊C₄	—	13	1	no	—
1504	C₂²⋊C₄	—	13	1	no	—
1505	C₂²⋊C₄	—	26	1	no	—
1506	C₂²⋊C₄	—	26	1	no	—
1507	C₂²⋊C₄	—	26	1	no	—
1508	C₂²⋊C₄	—	26	1	no	—
1509	C₂²⋊C₄	—	26	1	no	—
1510	C₂²⋊C₄	—	26	1	no	—
1511	C₂²⋊C₄	—	26	1	no	—
1512	C₂²⋊C₄	—	26	1	no	—
1513	C₂²⋊C₄	—	26	1	no	—
1514	C₂²⋊C₄	—	26	1	no	—
1515	C₂²⋊C₄	—	26	1	no	—
1516	C₂²⋊C₄	—	26	1	no	—
1517	C₂²⋊C₄	—	26	1	no	—
1518	C₂²⋊C₄	—	26	1	no	—
1519	C₂²⋊C₄	—	26	1	no	—
1520	C₂²⋊C₄	—	26	1	no	—
1521	C₂²⋊C₄	—	26	1	no	—
1522	C₂²⋊C₄	—	26	1	no	—
1523	C₂²⋊C₄	—	26	1	no	—
1524	C₂²⋊C₄	—	26	1	no	—
1525	C₂²⋊C₄	—	26	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	13	1	no	—
1530	C₄²	—	13	1	no	—
1531	C₄²	—	13	1	no	—
1532	C₄²	—	26	1	no	—
1533	C₄²	—	26	1	no	—
1534	C₄²	—	26	1	no	—
1535	C₄²	—	26	1	no	—
1536	C₄²	—	26	1	no	—
1537	C₄²	—	26	1	no	—
1538	C₄²	—	26	1	no	—
1539	C₄²	—	26	1	no	—
1540	C₄²	—	26	1	no	—
1541	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1542	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1543	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1544	C₁₃	#61472	1	1	yes	characteristic, complemented, Sylow
1545	C₂³	—	2	1	no	—
1546	C₂³	—	2	1	no	—
1547	C₂³	—	2	1	no	—
1548	C₂³	—	13	1	no	—
1549	C₂³	—	13	1	no	—
1550	C₂³	—	13	1	no	—
1551	C₂³	—	26	1	no	—
1552	C₂³	—	52	2	no	—
1553	C₂³	—	52	2	no	—
1554	C₂³	—	52	2	no	—
1555	C₂³	—	104	1	no	—
1556	C₂³	—	104	1	no	—
1557	C₂³	—	104	1	no	—
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	2	1	no	—
1563	Q₈	—	2	1	no	—
1564	Q₈	—	4	1	no	—
1565	Q₈	—	13	2	no	—
1566	Q₈	—	26	1	no	—
1567	Q₈	—	52	2	no	—
1568	Q₈	—	52	2	no	—
1569	Q₈	—	104	1	no	—
1570	Q₈	—	104	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	2	1	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	2	1	no	—
1576	D₄	—	2	1	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	13	2	no	—
1580	D₄	—	26	2	no	—
1581	D₄	—	26	2	no	—
1582	D₄	—	26	1	no	—
1583	D₄	—	52	1	no	—
1584	D₄	—	52	2	no	—
1585	D₄	—	52	2	no	—
1586	D₄	—	52	2	no	—
1587	D₄	—	52	2	no	—
1588	D₄	—	52	2	no	—
1589	D₄	—	52	2	no	—
1590	D₄	—	104	1	no	—
1591	D₄	—	104	1	no	—
1592	D₄	—	104	1	no	—
1593	D₄	—	104	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	8	1	no	—
1600	C₂×C₄	—	8	1	no	—
1601	C₂×C₄	—	8	1	no	—
1602	C₂×C₄	—	13	1	no	—
1603	C₂×C₄	—	13	1	no	—
1604	C₂×C₄	—	13	1	no	—
1605	C₂×C₄	—	13	1	no	—
1606	C₂×C₄	—	13	1	no	—
1607	C₂×C₄	—	26	2	no	—
1608	C₂×C₄	—	26	1	no	—
1609	C₂×C₄	—	26	1	no	—
1610	C₂×C₄	—	26	1	no	—
1611	C₂×C₄	—	26	1	no	—
1612	C₂×C₄	—	26	1	no	—
1613	C₂×C₄	—	26	1	no	—
1614	C₂×C₄	—	26	1	no	—
1615	C₂×C₄	—	26	1	no	—
1616	C₂×C₄	—	26	1	no	—
1617	C₂×C₄	—	26	1	no	—
1618	C₂×C₄	—	26	1	no	—
1619	C₂×C₄	—	26	1	no	—
1620	C₂×C₄	—	26	1	no	—
1621	C₂×C₄	—	52	1	no	—
1622	C₂×C₄	—	52	2	no	—
1623	C₂×C₄	—	52	2	no	—
1624	C₂×C₄	—	52	2	no	—
1625	C₂×C₄	—	52	2	no	—
1626	C₂×C₄	—	52	2	no	—
1627	C₂×C₄	—	104	1	no	—
1628	C₂×C₄	—	104	1	no	—
1629	C₂×C₄	—	104	1	no	—
1630	C₂×C₄	—	104	1	no	—
1631	C₂×C₄	—	104	1	no	—
1632	C₂×C₄	—	104	1	no	—
1633	C₂×C₄	—	104	1	no	—
1634	C₂×C₄	—	104	1	no	—
1635	C₂×C₄	—	104	1	no	—
1636	C₂×C₄	—	104	1	no	—
1637	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1638	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1639	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1640	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1641	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1642	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1643	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	26	1	no	—
1648	C₈	—	26	1	no	—
1649	C₈	—	26	1	no	—
1650	C₈	—	26	1	no	—
1651	C₈	#41×D₁₃	1	2	yes	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	13	2	no	—
1662	C₂²	—	26	1	no	—
1663	C₂²	—	26	1	no	—
1664	C₂²	—	26	1	no	—
1665	C₂²	—	26	1	no	—
1666	C₂²	—	26	1	no	—
1667	C₂²	—	26	1	no	—
1668	C₂²	—	26	1	no	—
1669	C₂²	—	26	1	no	—
1670	C₂²	—	26	2	no	—
1671	C₂²	—	52	1	no	—
1672	C₂²	—	52	1	no	—
1673	C₂²	—	104	4	no	—
1674	C₂²	—	208	2	no	—
1675	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	26	1	no	—
1688	C₄	—	26	1	no	—
1689	C₄	—	26	1	no	—
1690	C₄	—	26	1	no	—
1691	C₄	—	26	1	no	—
1692	C₄	—	26	2	no	—
1693	C₄	—	52	1	no	—
1694	C₄	—	52	1	no	—
1695	C₄	—	52	1	no	—
1696	C₄	—	52	1	no	—
1697	C₄	—	52	1	no	—
1698	C₄	—	52	1	no	—
1699	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1700	C₄	#11719650	1	1	yes	characteristic
1701	C₂	—	8	1	no	—
1702	C₂	—	8	1	no	—
1703	C₂	—	8	1	no	—
1704	C₂	—	26	2	no	—
1705	C₂	—	52	1	no	—
1706	C₂	—	52	1	no	—
1707	C₂	—	52	2	no	—
1708	C₂	#13128326	1	1	yes	characteristic
1709	C₂	D₁₃×#577	1	1	yes	characteristic
1710	C₂	#13129605	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×#3394	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3394	D₁₃
hypocenter	C₁₃	#61472
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3394

Complements

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

N	H ≅ G/N	type
1. #13128824	C₂	semidirect
2. #13128775	C₂	semidirect
3. #13127713	C₂	semidirect
4. #13127657	C₂	semidirect
5. #13127598	C₂	semidirect
6. #13127220	C₂	semidirect
7. #13127220	C₂	semidirect
8. #13127195	C₂	semidirect
9. #13127096	C₂	semidirect
10. #13127059	C₂	semidirect
11. #13126984	C₂	semidirect
12. #13126924	C₂	semidirect
13. #13126894	C₂	semidirect
14. #13126834	C₂	semidirect
15. #13126542	C₂	semidirect
16. #13126542	C₂	semidirect
17. #13126531	C₂	semidirect
18. #13125461	C₂	semidirect
19. #13125450	C₂	semidirect
20. #13125403	C₂	semidirect
21. #13125064	C₂	semidirect
22. #13125049	C₂	semidirect
23. #13125032	C₂	semidirect
24. #13125017	C₂	semidirect
25. #13125006	C₂	semidirect
26. #13124973	C₂	semidirect
27. #13123813	C₂	semidirect
28. #13123714	C₂	semidirect
29. #13123690	C₂	semidirect
30. C₄×SD₁₆×D₁₃	C₂	semidirect
31. C₁₃×#3394	C₂	semidirect
33. C₁₃×#556	C₂²	semidirect
37. #11719436	C₂²	semidirect
46. #11719387	C₂²	semidirect
48. #11719385	C₂²	semidirect
51. #11719382	C₂²	semidirect
52. #11719382	C₂²	semidirect
62. #11719286	C₂²	semidirect
65. #11719284	C₂²	semidirect
67. #11719277	C₂²	semidirect
68. C₄×Q₈×D₁₃	C₂²	semidirect
69. #11719272	C₂²	semidirect
75. #11719251	C₂²	semidirect
80. C₁₃×#495	C₂²	semidirect
81. C₁₃×#495	C₂²	semidirect
83. C₁₃×#464	C₂²	semidirect
84. C₁₃×#464	C₂²	semidirect
85. C₁₃×#463	C₂²	semidirect
86. C₁₃×#463	C₂²	semidirect
87. C₁₃×#462	C₂²	semidirect
89. C₈×Q₈×C₁₃	C₂²	semidirect
90. C₄×C₁₃×SD₁₆	C₂²	semidirect
91. C₄×C₁₃×SD₁₆	C₂²	semidirect
92. C₄×C₁₃×SD₁₆	C₂²	semidirect
93. #11718850	C₂²	semidirect
94. #11718849	C₂²	semidirect
97. #11718847	C₂²	semidirect
98. #11718847	C₂²	semidirect
99. #11718845	C₂²	semidirect
100. Q₁₆×Dic₁₃	C₂²	semidirect
101. #11718835	C₂²	semidirect
102. #11718835	C₂²	semidirect
105. #11718832	C₂²	semidirect
106. #11718832	C₂²	semidirect
107. #11718832	C₂²	semidirect
108. #11718832	C₂²	semidirect
113. #11718825	C₂²	semidirect
114. #11718825	C₂²	semidirect
115. SD₁₆×Dic₁₃	C₂²	semidirect
116. SD₁₆×Dic₁₃	C₂²	semidirect
117. SD₁₆×Dic₁₃	C₂²	semidirect
119. #11718819	C₂²	semidirect
120. #11718819	C₂²	semidirect
124. #11718813	C₂²	semidirect
125. D₈×Dic₁₃	C₂²	semidirect
127. #11718743	C₂²	semidirect
132. #11718717	C₂²	semidirect
133. #11718717	C₂²	semidirect
134. #11718716	C₂²	semidirect
135. #11718716	C₂²	semidirect
136. #11718715	C₂²	semidirect
137. #11718715	C₂²	semidirect
138. #11718691	C₂²	semidirect
141. #11718685	C₂²	semidirect
142. #11718683	C₂²	semidirect
143. #11718683	C₂²	semidirect
144. #11718681	C₂²	semidirect
145. #11718679	C₂²	semidirect
146. C₄×#6105	C₂²	semidirect
148. #11718670	C₂²	semidirect
149. #11718670	C₂²	semidirect
150. #11718669	C₂²	semidirect
151. #11718521	C₂²	semidirect
152. D₁₃×#106	C₂²	semidirect
153. D₁₃×#106	C₂²	semidirect
155. #11718511	C₂²	semidirect
159. #11718501	C₂²	semidirect
160. #11718501	C₂²	semidirect
161. #11718499	C₂²	semidirect
163. #11718497	C₂²	semidirect
164. #11718496	C₂²	semidirect
165. #11718490	C₂²	semidirect
166. #11718490	C₂²	semidirect
168. #11718475	C₂²	semidirect
169. #11718475	C₂²	semidirect
170. #11718470	C₂²	semidirect
171. #11718470	C₂²	semidirect
172. #11718466	C₂²	semidirect
173. #11718466	C₂²	semidirect
175. #11718463	C₂²	semidirect
176. D₁₃×#103	C₂²	semidirect
177. #11718450	C₂²	semidirect
181. #11718445	C₂²	semidirect
183. #11718438	C₂²	semidirect
184. #11718435	C₂²	semidirect
185. #11718435	C₂²	semidirect
186. #11718432	C₂²	semidirect
189. #11718419	C₂²	semidirect
190. #11718418	C₂²	semidirect
194. #11718350	C₂²	semidirect
195. #11718350	C₂²	semidirect
197. C₈×D₅₂	C₂²	semidirect
198. C₈×D₅₂	C₂²	semidirect
199. C₄×C₈×D₁₃	C₂²	semidirect
200. #11718344	C₂²	semidirect
201. #11718344	C₂²	semidirect
202. #11718341	C₂²	semidirect
683. #6095	#41	semidirect
692. #3394	D₁₃	semidirect
834. #556	C₂×D₁₃	semidirect
879. #495	C₂×D₁₃	semidirect
880. #495	C₂×D₁₃	semidirect
926. #464	C₂×D₁₃	semidirect
927. #464	C₂×D₁₃	semidirect
930. #463	C₂×D₁₃	semidirect
931. #463	C₂×D₁₃	semidirect
932. #462	C₂×D₁₃	semidirect
949. C₈×Q₈	C₂×D₁₃	semidirect
974. C₄×SD₁₆	C₂×D₁₃	semidirect
975. C₄×SD₁₆	C₂×D₁₃	semidirect
976. C₄×SD₁₆	C₂×D₁₃	semidirect
1544. C₁₃	#61472	semidirect

Maximal subgroups

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

subgroup	index
#13128824	2
#13128775	2
#13127713	2
#13127657	2
#13127598	2
#13127220	2
#13127195	2
#13127096	2
#13127059	2
#13126984	2
#13126924	2
#13126894	2
#13126834	2
#13126542	2
#13126531	2
#13125461	2
#13125450	2
#13125403	2
#13125064	2
#13125049	2
#13125032	2
#13125017	2
#13125006	2
#13124973	2
#13123813	2
#13123714	2
#13123690	2
C₄×SD₁₆×D₁₃	2
C₁₃×#3394	2
#61472	13