Subgroups — #16755074

Order 3328.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128742	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128387	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127821	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127819	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127486	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127480	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126759	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126757	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126729	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126727	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126725	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126723	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126552	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126551	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126547	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126543	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126539	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126170	C₂	1	1	yes	maximal, characteristic, complemented
19	#13126166	C₂	1	1	yes	maximal, characteristic, complemented
20	#13126147	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125809	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125807	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125782	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124903	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124900	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124831	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124288	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124287	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718823	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123943	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3282	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
33	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
34	C₁₃×#548	C₂²	1	1	yes	characteristic
35	C₁₃×#546	C₂²	1	1	yes	characteristic
36	#11719537	C₂²	1	1	yes	characteristic, complemented
37	#41×Dic₁₃	C₂²	1	1	yes	characteristic
38	#11719529	C₂²	1	1	yes	characteristic
39	#11719529	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88204	C₂²	1	1	yes	characteristic
41	#11719522	C₂²	1	1	yes	characteristic
42	C₂×#88198	C₂²	1	1	yes	characteristic
43	#11719511	C₂²	1	1	yes	characteristic
44	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
45	C₂²×#6105	C₂²	1	1	yes	characteristic
46	C₂×#88170	C₂²	1	1	yes	characteristic
47	C₂×#88166	C₂²	1	1	yes	characteristic
48	#11719385	C₂²	1	1	yes	characteristic
49	#11719376	C₂²	1	1	yes	characteristic
50	#11719376	C₂²	1	1	yes	characteristic, complemented
51	#11719375	—	2	1	no	—
52	#11719374	—	2	1	no	—
53	#11719373	C₂²	1	1	yes	characteristic, complemented
54	#11719355	—	2	1	no	—
55	#11719354	—	2	1	no	—
56	#11719347	C₂²	1	1	yes	characteristic
57	#11719345	—	2	1	no	—
58	#11719341	—	2	1	no	—
59	#11719336	C₂²	1	1	yes	characteristic, complemented
60	#11719327	C₂²	1	1	yes	characteristic
61	#11719327	C₂²	1	1	yes	characteristic, complemented
62	#11719321	C₂²	1	1	yes	characteristic
63	#11719306	—	2	1	no	—
64	#11719306	—	2	1	no	—
65	#11719305	—	2	1	no	—
66	#11719305	C₂²	1	1	yes	characteristic
67	#11719303	C₂²	1	1	yes	characteristic
68	#11719302	—	2	1	no	—
69	#11719301	C₂²	1	1	yes	characteristic
70	#11719292	—	2	1	no	—
71	#11719291	—	2	1	no	—
72	#11719283	C₂²	1	1	yes	characteristic, complemented
73	#11719273	C₂²	1	1	yes	characteristic, complemented
74	#11719257	C₂²	1	1	yes	characteristic
75	#11719251	—	2	1	no	—
76	#11719246	C₂²	1	1	yes	characteristic
77	#11719245	—	2	1	no	—
78	#11719244	C₂²	1	1	yes	characteristic
79	C₄×#6129	C₂²	1	1	yes	characteristic
80	C₄×#6129	C₂²	1	1	yes	characteristic
81	#11719200	—	2	1	no	—
82	C₂×#88131	—	2	1	no	—
83	C₁₃×#495	C₂²	1	1	yes	characteristic
84	C₁₃×#465	C₂²	1	1	yes	characteristic
85	C₁₃×#465	C₂²	1	1	yes	characteristic
86	C₁₃×#464	C₂²	1	1	yes	characteristic
87	C₁₃×#463	C₂²	1	1	yes	characteristic
88	C₁₃×#452	C₂²	1	1	yes	characteristic
89	C₁₃×#451	C₂²	1	1	yes	characteristic
90	C₁₃×#449	C₂²	1	1	yes	characteristic
91	C₁₃×#447	C₂²	1	1	yes	characteristic
92	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
93	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
94	#11718900	C₂²	1	1	yes	characteristic
95	#11718900	C₂²	1	1	yes	characteristic, complemented
96	#11718894	C₂²	1	1	yes	characteristic, complemented
97	#11718889	C₂²	1	1	yes	characteristic
98	C₂×#88075	C₂²	1	1	yes	characteristic
99	#11718878	C₂²	1	1	yes	characteristic
100	#11718849	C₂²	1	1	yes	characteristic, complemented
101	#11718848	C₂²	1	1	yes	characteristic, complemented
102	#11718846	C₂²	1	1	yes	characteristic, complemented
103	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
104	#11718843	C₂²	1	1	yes	characteristic, complemented
105	#11718843	C₂²	1	1	yes	characteristic, complemented
106	#11718842	C₂²	1	1	yes	characteristic, complemented
107	#11718842	C₂²	1	1	yes	characteristic, complemented
108	#11718834	C₂²	1	1	yes	characteristic
109	#11718834	C₂²	1	1	yes	characteristic, complemented
110	#11718833	C₂²	1	1	yes	characteristic
111	#11718832	C₂²	1	1	yes	characteristic
112	#11718829	C₂²	1	1	yes	characteristic
113	#11718827	C₂²	1	1	yes	characteristic
114	#11718827	C₂²	1	1	yes	characteristic, complemented
115	#11718826	C₂²	1	1	yes	characteristic
116	#11718824	C₂²	1	1	yes	characteristic, complemented
117	#11718823	C₂²	1	1	yes	characteristic
118	#11718823	C₂²	1	1	yes	characteristic
119	#11718823	C₂²	1	1	yes	characteristic
120	#11718823	C₂²	1	1	yes	characteristic
121	#11718823	C₂²	1	1	yes	characteristic
122	#11718823	C₂²	1	1	yes	characteristic
123	#11718823	C₂²	1	1	yes	characteristic
124	#11718823	C₂²	1	1	yes	characteristic
125	#11718823	C₂²	1	1	yes	characteristic, complemented
126	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
127	#11718819	C₂²	1	1	yes	characteristic
128	#11718816	C₂²	1	1	yes	characteristic
129	#11718814	C₂²	1	1	yes	characteristic
130	#11718811	C₂²	1	1	yes	characteristic
131	#11718811	C₂²	1	1	yes	characteristic
132	D₈×Dic₁₃	C₂²	1	1	yes	characteristic
133	D₈×Dic₁₃	C₂²	1	1	yes	characteristic
134	#11718777	C₂²	1	1	yes	characteristic, complemented
135	#11718775	C₂²	1	1	yes	characteristic
136	#11718774	C₂²	1	1	yes	characteristic, complemented
137	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
138	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
139	C₂×#88056	C₂²	1	1	yes	characteristic
140	C₂×#88054	C₂²	1	1	yes	characteristic
141	C₂×#88054	C₂²	1	1	yes	characteristic, complemented
142	#11718720	C₂²	1	1	yes	characteristic
143	#11718717	C₂²	1	1	yes	characteristic, complemented
144	#11718715	C₂²	1	1	yes	characteristic
145	#11718715	C₂²	1	1	yes	characteristic, complemented
146	#11718712	C₂²	1	1	yes	characteristic, complemented
147	#11718711	C₂²	1	1	yes	characteristic
148	#11718709	C₂²	1	1	yes	characteristic
149	#11718706	C₂²	1	1	yes	characteristic, complemented
150	#11718702	C₂²	1	1	yes	characteristic
151	#11718702	C₂²	1	1	yes	characteristic
152	#11718698	C₂²	1	1	yes	characteristic
153	#11718694	C₂²	1	1	yes	characteristic
154	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
155	#11718683	C₂²	1	1	yes	characteristic, complemented
156	C₄×#6105	C₂²	1	1	yes	characteristic
157	#11718677	C₂²	1	1	yes	characteristic
158	D₄×#1055	C₂²	1	1	yes	characteristic
159	#11718531	C₂²	1	1	yes	characteristic, complemented
160	#11718528	C₂²	1	1	yes	characteristic, complemented
161	#11718518	C₂²	1	1	yes	characteristic, complemented
162	#11718515	C₂²	1	1	yes	characteristic, complemented
163	#11718506	C₂²	1	1	yes	characteristic, complemented
164	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
165	#11718491	C₂²	1	1	yes	characteristic, complemented
166	#11718490	C₂²	1	1	yes	characteristic, complemented
167	#11718479	C₂²	1	1	yes	characteristic, complemented
168	#11718475	C₂²	1	1	yes	characteristic, complemented
169	#11718474	C₂²	1	1	yes	characteristic, complemented
170	#11718465	C₂²	1	1	yes	characteristic, complemented
171	#11718461	C₂²	1	1	yes	characteristic, complemented
172	#11718457	C₂²	1	1	yes	characteristic, complemented
173	#11718454	C₂²	1	1	yes	characteristic, complemented
174	#11718454	C₂²	1	1	yes	characteristic, complemented
175	#11718453	C₂²	1	1	yes	characteristic, complemented
176	#11718453	C₂²	1	1	yes	characteristic, complemented
177	#11718452	C₂²	1	1	yes	characteristic, complemented
178	#11718451	C₂²	1	1	yes	characteristic, complemented
179	#11718444	C₂²	1	1	yes	characteristic
180	#11718439	C₂²	1	1	yes	characteristic
181	#11718433	C₂²	1	1	yes	characteristic, complemented
182	#11718429	C₂²	1	1	yes	characteristic, complemented
183	#11718428	C₂²	1	1	yes	characteristic
184	#11718423	C₂²	1	1	yes	characteristic, complemented
185	#11718422	C₂²	1	1	yes	characteristic, complemented
186	#11718420	C₂²	1	1	yes	characteristic
187	#11718420	C₂²	1	1	yes	characteristic
188	#11718419	C₂²	1	1	yes	characteristic
189	#11718417	C₂²	1	1	yes	characteristic
190	#11718417	C₂²	1	1	yes	characteristic
191	#11718400	C₂²	1	1	yes	characteristic
192	#11718397	C₂²	1	1	yes	characteristic
193	#11718394	C₂²	1	1	yes	characteristic, complemented
194	#11718386	C₂²	1	1	yes	characteristic
195	#11718386	C₂²	1	1	yes	characteristic, complemented
196	#11718384	C₂²	1	1	yes	characteristic, complemented
197	#11718379	C₂²	1	1	yes	characteristic
198	#11718379	C₂²	1	1	yes	characteristic, complemented
199	C₄×Dic₅₂	C₂²	1	1	yes	characteristic, complemented
200	#11718358	C₂²	1	1	yes	characteristic, complemented
201	#11718346	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₂₆	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	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂³×Dic₁₃	—	2	1	no	—
208	C₂×#6131	C₂³	1	1	yes	characteristic
209	C₂×#6129	—	2	1	no	—
210	C₂×#6129	D₄	1	1	yes	characteristic
211	C₂×#6129	C₂³	1	1	yes	characteristic
212	C₂×#6129	C₂³	1	1	yes	characteristic
213	C₂×#6127	C₂³	1	1	yes	characteristic
214	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
215	C₁₃×#135	—	4	2	no	—
216	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×SD₁₆	—	4	2	no	—
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	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₁₃×#124	—	2	1	no	—
229	C₁₃×#124	C₂³	1	1	yes	characteristic
230	C₁₃×#124	C₂³	1	1	yes	characteristic
231	C₁₃×#123	—	2	1	no	—
232	C₁₃×C₂²⋊Q₈	—	2	1	no	—
233	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
234	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×#121	—	2	1	no	—
236	C₁₃×#121	—	2	1	no	—
237	C₁₃×#121	C₂³	1	1	yes	characteristic
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₁₃×#120	—	2	1	no	—
240	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
250	#88201	C₂³	1	1	yes	characteristic
251	#88200	—	2	1	no	—
252	#88200	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	#88198	—	2	1	no	—
258	#88198	—	2	1	no	—
259	#88198	C₂³	1	1	yes	characteristic
260	#88198	C₂³	1	1	yes	characteristic
261	#88198	C₂³	1	1	yes	characteristic
262	#88198	C₂³	1	1	yes	characteristic
263	#88198	C₂³	1	1	yes	characteristic
264	C₂×#6107	C₂³	1	1	yes	characteristic
265	C₂×#6107	C₂³	1	1	yes	characteristic
266	C₂×#6107	C₂³	1	1	yes	characteristic
267	C₂×#6107	C₂³	1	1	yes	characteristic
268	C₂×#6106	C₂³	1	1	yes	characteristic
269	#88194	C₂³	1	1	yes	characteristic
270	#88193	—	2	1	no	—
271	#88193	—	2	1	no	—
272	#88193	—	2	1	no	—
273	#88193	—	2	1	no	—
274	#88193	—	2	1	no	—
275	#88193	—	2	1	no	—
276	#88193	—	2	1	no	—
277	#88193	—	2	1	no	—
278	#88193	—	2	1	no	—
279	#88192	C₂³	1	1	yes	characteristic
280	#88190	—	2	1	no	—
281	#88190	C₂³	1	1	yes	characteristic
282	#88190	C₂³	1	1	yes	characteristic
283	#88189	—	2	1	no	—
284	#88189	—	2	1	no	—
285	#88189	—	2	1	no	—
286	#88189	—	2	1	no	—
287	#88189	—	2	1	no	—
288	D₄×Dic₁₃	—	2	1	no	—
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	—	2	1	no	—
294	D₄×Dic₁₃	D₄	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	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
299	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
301	C₂×#6105	—	4	2	no	—
302	C₂×#6105	C₂³	1	1	yes	characteristic
303	C₂×#6105	C₂³	1	1	yes	characteristic
304	C₂×#6105	C₂³	1	1	yes	characteristic
305	C₂×#6105	C₂³	1	1	yes	characteristic
306	C₂×#6105	C₂³	1	1	yes	characteristic
307	C₂×#6104	C₂³	1	1	yes	characteristic
308	C₂×#6104	C₂³	1	1	yes	characteristic
309	#88184	—	2	1	no	—
310	#88184	C₂³	1	1	yes	characteristic
311	#88183	—	2	1	no	—
312	#88183	—	2	1	no	—
313	C₄×C₂²⋊D₁₃	—	2	1	no	—
314	C₄×C₂²⋊D₁₃	—	2	1	no	—
315	C₄×C₂²⋊D₁₃	—	2	1	no	—
316	C₄×C₂²⋊D₁₃	—	2	1	no	—
317	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
318	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
319	#88180	—	2	1	no	—
320	#88180	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
322	#88178	—	2	1	no	—
323	#88178	C₂³	1	1	yes	characteristic
324	#88178	C₂³	1	1	yes	characteristic
325	#88178	C₂³	1	1	yes	characteristic
326	C₂×#6101	—	2	1	no	—
327	C₂×#6101	—	2	1	no	—
328	C₂×#6101	—	2	1	no	—
329	C₂×#6101	—	2	1	no	—
330	C₂×#6101	—	2	1	no	—
331	C₂×C₄×Dic₁₃	—	2	1	no	—
332	C₂×C₄×Dic₁₃	—	2	1	no	—
333	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
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	#88170	—	4	2	no	—
338	#88166	—	4	2	no	—
339	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
340	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
341	C₂×#6095	C₂³	1	1	yes	characteristic
342	C₂×C₈×D₁₃	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	#88151	C₂³	1	1	yes	characteristic
347	#88150	—	2	1	no	—
348	#88150	—	2	1	no	—
349	#88150	—	2	1	no	—
350	#88148	—	2	1	no	—
351	#88147	C₂³	1	1	yes	characteristic
352	#88146	D₄	1	1	yes	characteristic
353	#88146	C₂³	1	1	yes	characteristic
354	C₄⋊C₄×D₁₃	—	2	1	no	—
355	#88144	—	2	1	no	—
356	#88144	C₂³	1	1	yes	characteristic
357	#88143	—	2	1	no	—
358	#88143	—	2	1	no	—
359	#88143	—	2	1	no	—
360	#88143	—	2	1	no	—
361	#88142	C₂³	1	1	yes	characteristic
362	#88142	C₂³	1	1	yes	characteristic
363	#88141	—	2	1	no	—
364	#88141	—	2	1	no	—
365	#88141	D₄	1	1	yes	characteristic
366	#88141	C₂³	1	1	yes	characteristic
367	#88141	C₂³	1	1	yes	characteristic
368	#88140	—	2	1	no	—
369	#88139	—	2	1	no	—
370	#88139	—	2	1	no	—
371	#88139	—	2	1	no	—
372	#88139	—	2	1	no	—
373	#88138	—	2	1	no	—
374	#88138	—	2	1	no	—
375	#88138	—	2	1	no	—
376	#88137	—	2	1	no	—
377	#88137	—	2	1	no	—
378	#88135	—	2	1	no	—
379	#88135	—	2	1	no	—
380	#88135	—	2	1	no	—
381	#88135	—	2	1	no	—
382	#88135	—	2	1	no	—
383	#88135	—	2	1	no	—
384	#88135	D₄	1	1	yes	characteristic
385	#88135	D₄	1	1	yes	characteristic
386	#88133	—	2	1	no	—
387	#88133	—	2	1	no	—
388	#88133	—	2	1	no	—
389	#88133	—	2	1	no	—
390	#88133	—	2	1	no	—
391	#88133	—	2	1	no	—
392	#88133	—	2	1	no	—
393	#88132	—	2	1	no	—
394	#88132	—	2	1	no	—
395	#88132	—	2	1	no	—
396	#88132	—	2	1	no	—
397	#88132	—	2	1	no	—
398	#88132	—	2	1	no	—
399	#88132	—	2	1	no	—
400	#88131	—	2	1	no	—
401	#88131	—	2	1	no	—
402	#88131	—	2	1	no	—
403	#88131	—	2	1	no	—
404	#88131	—	2	1	no	—
405	#88131	—	2	1	no	—
406	#88131	—	2	1	no	—
407	#88131	—	2	1	no	—
408	#88131	—	2	1	no	—
409	#88131	—	2	1	no	—
410	#88131	D₄	1	1	yes	characteristic
411	#88131	D₄	1	1	yes	characteristic
412	#88130	—	2	1	no	—
413	#88129	C₂³	1	1	yes	characteristic
414	#88126	—	2	1	no	—
415	#88126	—	2	1	no	—
416	C₄²×D₁₃	C₂³	1	1	yes	characteristic
417	#88124	C₂³	1	1	yes	characteristic
418	C₄×Dic₂₆	—	2	1	no	—
419	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
420	C₄×Dic₂₆	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	C₄×C₈×C₁₃	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	#88060	C₂³	1	1	yes	characteristic
451	#88060	C₂³	1	1	yes	characteristic
452	#88058	C₂³	1	1	yes	characteristic
453	#88058	C₂³	1	1	yes	characteristic
454	#88057	C₂³	1	1	yes	characteristic
455	#88056	C₂³	1	1	yes	characteristic
456	#88056	C₂³	1	1	yes	characteristic
457	#88056	C₂³	1	1	yes	characteristic
458	#88056	C₂³	1	1	yes	characteristic
459	#88056	C₂³	1	1	yes	characteristic
460	#88056	C₂³	1	1	yes	characteristic
461	#88056	C₂³	1	1	yes	characteristic
462	#88054	C₂³	1	1	yes	characteristic
463	#88054	C₂³	1	1	yes	characteristic
464	#88054	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	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
471	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
472	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
473	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
474	#88050	C₂³	1	1	yes	characteristic
475	#88050	C₂³	1	1	yes	characteristic
476	#88050	C₂³	1	1	yes	characteristic
477	#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	#61950	—	13	1	no	maximal, Sylow
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₁₃×#41	—	2	2	no	—
487	C₁₃×#41	—	4	1	no	—
488	C₁₃×#41	—	4	1	no	—
489	C₁₃×#41	—	4	1	no	—
490	C₂×Q₈×C₁₃	—	2	1	no	—
491	C₂×Q₈×C₁₃	—	4	1	no	—
492	C₂×Q₈×C₁₃	—	4	1	no	—
493	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₁₃	—	2	2	no	—
497	C₂×D₄×C₁₃	—	2	1	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	—	4	1	no	—
503	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
504	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₁₃	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
521	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
522	C₂²×Dic₁₃	—	2	1	no	—
523	C₂²×Dic₁₃	—	2	1	no	—
524	C₂²×Dic₁₃	—	2	1	no	—
525	C₂²×Dic₁₃	—	2	1	no	—
526	C₂²×Dic₁₃	—	2	1	no	—
527	C₂²×Dic₁₃	—	2	1	no	—
528	C₂²×Dic₁₃	—	2	1	no	—
529	C₂²×Dic₁₃	—	2	1	no	—
530	C₂²×Dic₁₃	—	2	1	no	—
531	C₂²×Dic₁₃	—	2	1	no	—
532	C₂²×Dic₁₃	—	4	4	no	—
533	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
534	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
535	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
536	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
537	#6131	—	4	1	no	—
538	#6131	—	4	1	no	—
539	#6129	—	2	4	no	—
540	#6129	—	2	2	no	—
541	#6129	—	4	1	no	—
542	#6129	—	4	1	no	—
543	#6129	—	4	1	no	—
544	#6129	—	4	4	no	—
545	#6127	—	4	1	no	—
546	#6127	—	4	1	no	—
547	C₂×D₅₂	—	2	1	no	—
548	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
549	C₂×C₄×D₁₃	—	2	1	no	—
550	C₂×C₄×D₁₃	—	2	1	no	—
551	C₂×C₄×D₁₃	—	2	1	no	—
552	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
553	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
554	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
555	C₂×Dic₂₆	—	2	1	no	—
556	C₂×Dic₂₆	—	2	1	no	—
557	C₂×Dic₂₆	—	2	1	no	—
558	C₂×Dic₂₆	—	4	1	no	—
559	C₂×Dic₂₆	—	4	1	no	—
560	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
561	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
562	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
563	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
564	C₁₃×Q₁₆	—	4	1	no	—
565	C₁₃×Q₁₆	—	4	1	no	—
566	C₁₃×SD₁₆	—	2	2	no	—
567	C₁₃×SD₁₆	—	2	2	no	—
568	C₁₃×SD₁₆	—	4	1	no	—
569	C₁₃×SD₁₆	—	4	1	no	—
570	C₁₃×SD₁₆	—	4	1	no	—
571	C₁₃×D₈	—	2	2	no	—
572	C₁₃×D₈	—	4	1	no	—
573	C₂×C₈×C₁₃	—	4	1	no	—
574	C₂×C₈×C₁₃	—	4	1	no	—
575	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
576	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
579	C₁₃×C₄⋊C₄	—	2	1	no	—
580	C₁₃×C₄⋊C₄	—	2	1	no	—
581	C₁₃×C₄⋊C₄	—	2	1	no	—
582	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
583	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
584	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₁₃×C₂²⋊C₄	—	2	1	no	—
586	C₁₃×C₂²⋊C₄	—	2	1	no	—
587	C₁₃×C₂²⋊C₄	—	2	1	no	—
588	C₁₃×C₂²⋊C₄	—	2	1	no	—
589	C₁₃×C₂²⋊C₄	—	2	1	no	—
590	C₁₃×C₂²⋊C₄	—	2	1	no	—
591	C₁₃×C₂²⋊C₄	—	2	1	no	—
592	C₁₃×C₂²⋊C₄	—	2	1	no	—
593	C₁₃×C₂²⋊C₄	—	2	1	no	—
594	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
595	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₄²×C₁₃	—	2	1	no	—
597	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
598	C₂²⋊Dic₁₃	—	2	1	no	—
599	C₂²⋊Dic₁₃	—	2	1	no	—
600	C₂²⋊Dic₁₃	—	2	1	no	—
601	C₂²⋊Dic₁₃	—	2	1	no	—
602	C₂²⋊Dic₁₃	—	2	1	no	—
603	C₂²⋊Dic₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
614	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
615	#6107	—	4	1	no	—
616	#6107	—	4	1	no	—
617	#6107	—	4	1	no	—
618	#6107	—	4	1	no	—
619	#6106	—	4	1	no	—
620	#6105	—	2	2	no	—
621	#6105	—	2	2	no	—
622	#6105	—	4	1	no	—
623	#6105	—	4	1	no	—
624	#6105	—	4	1	no	—
625	#6104	—	2	2	no	—
626	#6104	—	4	1	no	—
627	#6103	—	2	1	no	—
628	#6103	—	2	1	no	—
629	#6103	—	2	1	no	—
630	#6103	—	2	1	no	—
631	#6103	—	2	1	no	—
632	#6103	—	2	1	no	—
633	#6103	—	2	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	C₂×D₄	1	1	yes	characteristic
638	#6103	C₂×D₄	1	1	yes	characteristic
639	C₄⋊Dic₁₃	—	2	1	no	—
640	C₄⋊Dic₁₃	—	2	1	no	—
641	C₄⋊Dic₁₃	—	2	1	no	—
642	C₄⋊Dic₁₃	—	2	1	no	—
643	C₄⋊Dic₁₃	—	2	1	no	—
644	C₄⋊Dic₁₃	—	2	1	no	—
645	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
646	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
647	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
648	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
649	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	—	2	1	no	—
674	#6101	C₂×D₄	1	1	yes	characteristic
675	#6101	C₂×D₄	1	1	yes	characteristic
676	#6101	C₂×D₄	1	1	yes	characteristic
677	#6101	C₂×D₄	1	1	yes	characteristic
678	C₄×Dic₁₃	—	2	1	no	—
679	C₄×Dic₁₃	—	2	1	no	—
680	C₄×Dic₁₃	—	2	1	no	—
681	C₄×Dic₁₃	—	2	1	no	—
682	C₄×Dic₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
688	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
689	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
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	Dic₅₂	—	4	1	no	—
703	Dic₅₂	—	4	1	no	—
704	#6095	—	4	1	no	—
705	C₈×D₁₃	—	4	1	no	—
706	C₈×D₁₃	—	4	1	no	—
707	#3511	—	13	1	no	—
708	#3475	—	13	1	no	—
709	#3393	—	13	1	no	—
710	#3393	—	13	1	no	—
711	#3360	—	13	1	no	—
712	#3360	—	13	1	no	—
713	#3303	—	13	1	no	—
714	#3303	—	13	1	no	—
715	#3300	—	13	1	no	—
716	#3300	—	13	1	no	—
717	#3300	—	13	1	no	—
718	#3300	—	13	1	no	—
719	#3283	—	13	1	no	—
720	#3283	—	13	1	no	—
721	#3282	—	13	1	no	—
722	#3282	—	13	1	no	—
723	#3282	—	13	1	no	—
724	#3282	D₁₃	1	1	yes	characteristic, complemented
725	#3248	—	13	1	no	—
726	#3248	—	13	1	no	—
727	#3246	—	13	1	no	—
728	#3212	—	13	1	no	—
729	#3212	—	13	1	no	—
730	#3209	—	13	1	no	—
731	#3107	—	13	1	no	—
732	#3107	—	13	1	no	—
733	#3100	—	13	1	no	—
734	#3035	—	13	1	no	—
735	#3035	—	13	1	no	—
736	C₂×#461	—	13	1	no	—
737	#2988	—	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	—	4	2	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	C₂²×D₄	1	1	yes	characteristic
748	Q₈×C₁₃	—	2	1	no	—
749	Q₈×C₁₃	—	2	1	no	—
750	Q₈×C₁₃	—	2	1	no	—
751	Q₈×C₁₃	—	2	1	no	—
752	Q₈×C₁₃	—	2	1	no	—
753	Q₈×C₁₃	—	2	1	no	—
754	Q₈×C₁₃	—	8	1	no	—
755	D₄×C₁₃	—	2	2	no	—
756	D₄×C₁₃	—	2	1	no	—
757	D₄×C₁₃	—	2	1	no	—
758	D₄×C₁₃	—	2	1	no	—
759	D₄×C₁₃	—	2	1	no	—
760	D₄×C₁₃	—	2	1	no	—
761	D₄×C₁₃	—	4	2	no	—
762	D₄×C₁₃	—	4	2	no	—
763	D₄×C₁₃	—	4	2	no	—
764	D₄×C₁₃	—	8	1	no	—
765	D₄×C₁₃	—	8	1	no	—
766	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
767	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	4	2	no	—
777	C₂×C₄×C₁₃	—	8	1	no	—
778	C₂×C₄×C₁₃	—	8	1	no	—
779	C₂×C₄×C₁₃	—	8	1	no	—
780	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
785	C₂²⋊D₁₃	—	2	2	no	—
786	C₂²⋊D₁₃	—	2	2	no	—
787	C₂²⋊D₁₃	—	4	2	no	—
788	C₂²⋊D₁₃	—	4	2	no	—
789	C₂²⋊D₁₃	—	4	2	no	—
790	C₂²⋊D₁₃	—	4	2	no	—
791	C₂²⋊D₁₃	—	8	1	no	—
792	C₂²⋊D₁₃	—	8	1	no	—
793	C₂²⋊D₁₃	—	8	1	no	—
794	C₂×Dic₁₃	—	2	2	no	—
795	C₂×Dic₁₃	—	2	1	no	—
796	C₂×Dic₁₃	—	2	1	no	—
797	C₂×Dic₁₃	—	2	1	no	—
798	C₂×Dic₁₃	—	2	1	no	—
799	C₂×Dic₁₃	—	2	1	no	—
800	C₂×Dic₁₃	—	2	1	no	—
801	C₂×Dic₁₃	—	2	1	no	—
802	C₂×Dic₁₃	—	4	1	no	—
803	C₂×Dic₁₃	—	4	1	no	—
804	C₂×Dic₁₃	—	4	2	no	—
805	C₂×Dic₁₃	—	4	2	no	—
806	C₂×Dic₁₃	—	4	2	no	—
807	C₂×Dic₁₃	—	4	2	no	—
808	C₂×Dic₁₃	—	4	2	no	—
809	C₂×Dic₁₃	—	4	2	no	—
810	C₂×Dic₁₃	—	4	2	no	—
811	C₂×Dic₁₃	—	8	1	no	—
812	C₂×Dic₁₃	—	8	1	no	—
813	C₂×Dic₁₃	—	8	1	no	—
814	C₂×Dic₁₃	#135	1	4	yes	complemented
815	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
820	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
822	D₅₂	—	2	1	no	—
823	D₅₂	—	2	1	no	—
824	D₅₂	—	8	1	no	—
825	C₄×D₁₃	—	2	1	no	—
826	C₄×D₁₃	—	2	1	no	—
827	C₄×D₁₃	—	2	2	no	—
828	C₄×D₁₃	—	4	1	no	—
829	C₄×D₁₃	—	4	2	no	—
830	C₄×D₁₃	—	8	1	no	—
831	C₄×D₁₃	—	8	1	no	—
832	Dic₂₆	—	2	2	no	—
833	Dic₂₆	—	2	1	no	—
834	Dic₂₆	—	2	1	no	—
835	Dic₂₆	—	2	1	no	—
836	Dic₂₆	—	2	1	no	—
837	Dic₂₆	—	2	1	no	—
838	Dic₂₆	—	2	1	no	—
839	Dic₂₆	—	4	2	no	—
840	Dic₂₆	—	8	1	no	—
841	Dic₂₆	—	8	1	no	—
842	C₈×C₁₃	—	2	1	no	—
843	C₈×C₁₃	—	2	1	no	—
844	C₈×C₁₃	—	2	1	no	—
845	C₈×C₁₃	—	2	1	no	—
846	#1055	—	2	1	no	—
847	#1055	—	2	1	no	—
848	#1055	—	2	1	no	—
849	#1055	—	2	1	no	—
850	C₂×#135	—	13	1	no	—
851	C₂×#135	—	13	1	no	—
852	C₂×#135	—	13	1	no	—
853	C₂×#135	C₂×D₁₃	1	1	yes	characteristic
854	C₂²×SD₁₆	—	13	1	no	—
855	C₂²×SD₁₆	C₂×D₁₃	1	1	yes	characteristic
856	#556	—	13	1	no	—
857	#556	—	13	1	no	—
858	#556	—	13	1	no	—
859	#555	—	13	1	no	—
860	#555	—	26	1	no	—
861	#554	—	13	1	no	—
862	#554	—	26	1	no	—
863	#553	—	26	1	no	—
864	#553	—	26	1	no	—
865	#553	—	26	1	no	—
866	#552	—	13	1	no	—
867	#552	—	13	1	no	—
868	#552	—	26	1	no	—
869	#551	—	26	1	no	—
870	#551	—	26	1	no	—
871	#548	—	13	1	no	—
872	#548	—	13	1	no	—
873	#548	—	13	1	no	—
874	#548	C₂×D₁₃	1	1	yes	characteristic
875	#547	—	13	1	no	—
876	#547	—	13	1	no	—
877	#547	—	13	1	no	—
878	#546	—	13	1	no	—
879	#546	C₂×D₁₃	1	1	yes	characteristic
880	#542	—	26	1	no	—
881	#542	—	26	1	no	—
882	#537	—	26	1	no	—
883	#533	—	13	1	no	—
884	#533	—	13	1	no	—
885	#533	—	13	1	no	—
886	#532	—	13	1	no	—
887	#532	—	13	1	no	—
888	#532	—	13	1	no	—
889	C₂×C₄⋊Q₈	—	13	1	no	—
890	#529	—	13	1	no	—
891	#529	—	13	1	no	—
892	#529	—	26	1	no	—
893	#529	—	26	1	no	—
894	#525	—	26	1	no	—
895	#520	—	26	1	no	—
896	C₄×#41	—	13	1	no	—
897	C₄×#41	—	13	1	no	—
898	C₄×#41	—	13	1	no	—
899	C₂×C₄×D₄	—	13	1	no	—
900	C₂×#117	—	26	1	no	—
901	#495	—	13	1	no	—
902	#495	—	13	1	no	—
903	#495	—	13	1	no	—
904	#495	C₂×D₁₃	1	1	yes	characteristic
905	#494	—	13	1	no	—
906	#494	—	13	1	no	—
907	#488	—	13	1	no	—
908	#488	—	13	1	no	—
909	#488	—	13	1	no	—
910	#488	—	13	1	no	—
911	#487	—	13	1	no	—
912	#487	—	13	1	no	—
913	#485	—	13	1	no	—
914	#485	—	13	1	no	—
915	#485	—	13	1	no	—
916	#485	—	13	1	no	—
917	#480	—	13	1	no	—
918	#480	—	13	1	no	—
919	#479	—	13	1	no	—
920	#479	—	13	1	no	—
921	#479	—	13	1	no	—
922	#479	—	13	1	no	—
923	#476	—	13	1	no	—
924	#476	—	13	1	no	—
925	#475	—	13	1	no	—
926	#475	—	13	1	no	—
927	#474	—	13	1	no	—
928	#474	—	13	1	no	—
929	#467	—	13	1	no	—
930	#467	—	13	1	no	—
931	#467	—	13	1	no	—
932	#467	—	13	1	no	—
933	#465	—	13	1	no	—
934	#465	—	13	1	no	—
935	#465	—	13	1	no	—
936	#465	—	13	1	no	—
937	#465	—	13	1	no	—
938	#465	—	13	1	no	—
939	#465	C₂×D₁₃	1	1	yes	characteristic
940	#465	C₂×D₁₃	1	1	yes	characteristic
941	#464	—	13	1	no	—
942	#464	—	13	1	no	—
943	#464	—	13	1	no	—
944	#464	—	13	1	no	—
945	#464	—	13	1	no	—
946	#464	—	13	1	no	—
947	#464	—	13	1	no	—
948	#464	C₂×D₁₃	1	1	yes	characteristic
949	#463	—	13	1	no	—
950	#463	—	13	1	no	—
951	#463	—	13	1	no	—
952	#463	C₂×D₁₃	1	1	yes	characteristic
953	#462	—	13	1	no	—
954	#462	—	13	1	no	—
955	#462	—	13	1	no	—
956	#462	—	13	1	no	—
957	#461	—	13	1	no	—
958	#461	—	13	1	no	—
959	#461	—	13	1	no	—
960	#461	—	13	1	no	—
961	#461	—	13	1	no	—
962	#461	—	13	1	no	—
963	#461	—	13	1	no	—
964	#461	—	13	1	no	—
965	#461	—	13	1	no	—
966	#461	—	13	1	no	—
967	#460	—	13	1	no	—
968	#460	—	13	1	no	—
969	#459	—	13	1	no	—
970	#459	—	13	1	no	—
971	#452	—	13	1	no	—
972	#452	—	13	1	no	—
973	#452	—	13	1	no	—
974	#452	—	13	1	no	—
975	#452	—	13	1	no	—
976	#452	—	13	1	no	—
977	#452	—	13	1	no	—
978	#452	C₂×D₁₃	1	1	yes	characteristic
979	#451	—	13	1	no	—
980	#451	—	13	1	no	—
981	#451	—	13	1	no	—
982	#451	C₂×D₁₃	1	1	yes	characteristic
983	#449	—	13	1	no	—
984	#449	—	13	1	no	—
985	#449	—	13	1	no	—
986	#449	C₂×D₁₃	1	1	yes	characteristic
987	#447	—	13	1	no	—
988	#447	C₂×D₁₃	1	1	yes	characteristic
989	C₈×Q₈	—	13	1	no	—
990	C₈×Q₈	—	13	1	no	—
991	C₄×Q₁₆	—	13	1	no	—
992	C₄×Q₁₆	—	13	1	no	—
993	C₄×Q₁₆	—	13	1	no	—
994	C₄×Q₁₆	—	13	1	no	—
995	C₄×SD₁₆	—	13	1	no	—
996	C₄×SD₁₆	—	13	1	no	—
997	C₄×SD₁₆	—	13	1	no	—
998	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic
999	C₄×D₈	—	13	1	no	—
1000	C₄×D₈	—	13	1	no	—
1001	C₄×D₈	—	13	1	no	—
1002	C₄×D₈	—	13	1	no	—
1003	C₈×D₄	—	13	1	no	—
1004	C₈×D₄	—	13	1	no	—
1005	C₈×D₄	—	13	1	no	—
1006	C₈×D₄	—	13	1	no	—
1007	C₈×D₄	—	13	1	no	—
1008	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic
1009	#431	—	13	1	no	—
1010	#431	—	13	1	no	—
1011	#431	—	13	1	no	—
1012	C₂×C₄⋊C₈	—	13	1	no	—
1013	C₂×C₄⋊C₈	—	13	1	no	—
1014	C₂×C₄⋊C₈	—	13	1	no	—
1015	#416	—	13	1	no	—
1016	#416	—	13	1	no	—
1017	#416	—	13	1	no	—
1018	#416	—	13	1	no	—
1019	C₂×#103	—	13	1	no	—
1020	C₂×#103	—	13	1	no	—
1021	C₂²×C₁₃	—	2	1	no	—
1022	C₂²×C₁₃	—	2	1	no	—
1023	C₂²×C₁₃	—	2	1	no	—
1024	C₂²×C₁₃	—	2	2	no	—
1025	C₂²×C₁₃	—	2	1	no	—
1026	C₂²×C₁₃	—	2	1	no	—
1027	C₂²×C₁₃	—	4	1	no	—
1028	C₂²×C₁₃	—	4	1	no	—
1029	C₂²×C₁₃	—	4	1	no	—
1030	C₂²×C₁₃	—	4	1	no	—
1031	C₂²×C₁₃	—	4	1	no	—
1032	C₂²×C₁₃	—	4	1	no	—
1033	C₂²×C₁₃	—	4	1	no	—
1034	C₂²×C₁₃	—	4	1	no	—
1035	C₂²×C₁₃	—	8	4	no	—
1036	C₂²×C₁₃	C₂×#135	1	2	yes	—
1037	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1038	C₂×D₁₃	—	2	1	no	—
1039	C₂×D₁₃	—	2	1	no	—
1040	C₂×D₁₃	—	2	1	no	—
1041	C₂×D₁₃	—	4	1	no	—
1042	C₂×D₁₃	—	4	1	no	—
1043	C₂×D₁₃	—	4	1	no	—
1044	C₄×C₁₃	—	2	1	no	—
1045	C₄×C₁₃	—	2	1	no	—
1046	C₄×C₁₃	—	2	1	no	—
1047	C₄×C₁₃	—	2	1	no	—
1048	C₄×C₁₃	—	4	1	no	—
1049	C₄×C₁₃	—	4	1	no	—
1050	C₄×C₁₃	—	4	1	no	—
1051	C₄×C₁₃	—	4	1	no	—
1052	C₄×C₁₃	—	4	1	no	—
1053	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1054	C₄×C₁₃	#585	1	1	yes	characteristic
1055	Dic₁₃	—	2	1	no	—
1056	Dic₁₃	—	2	1	no	—
1057	Dic₁₃	—	2	1	no	—
1058	Dic₁₃	—	2	1	no	—
1059	Dic₁₃	—	2	1	no	—
1060	Dic₁₃	—	4	1	no	—
1061	Dic₁₃	—	4	1	no	—
1062	Dic₁₃	—	4	1	no	—
1063	Dic₁₃	—	4	1	no	—
1064	Dic₁₃	—	4	1	no	—
1065	Dic₁₃	—	4	1	no	—
1066	Dic₁₃	—	4	1	no	—
1067	Dic₁₃	C₂×#135	1	2	yes	—
1068	Dic₁₃	C₂×#135	1	2	yes	—
1069	C₂×#41	—	13	1	no	—
1070	C₂×#41	—	13	1	no	—
1071	C₂×#41	—	13	1	no	—
1072	C₂×#41	—	13	1	no	—
1073	C₂×#41	—	13	1	no	—
1074	C₂×#41	—	26	1	no	—
1075	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1076	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1077	C₂²×Q₈	—	13	1	no	—
1078	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1079	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1080	C₂³×C₄	—	26	1	no	—
1081	#135	—	4	2	no	—
1082	#135	—	52	2	no	—
1083	#135	—	52	2	no	—
1084	#135	—	52	2	no	—
1085	C₂×Q₁₆	—	13	1	no	—
1086	C₂×Q₁₆	—	13	1	no	—
1087	C₂×Q₁₆	—	13	1	no	—
1088	C₂×Q₁₆	—	13	1	no	—
1089	C₂×Q₁₆	—	13	1	no	—
1090	C₂×Q₁₆	—	13	1	no	—
1091	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1092	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1093	C₂×SD₁₆	—	4	2	no	—
1094	C₂×SD₁₆	—	13	1	no	—
1095	C₂×SD₁₆	—	13	1	no	—
1096	C₂×SD₁₆	—	13	1	no	—
1097	C₂×SD₁₆	—	13	1	no	—
1098	C₂×SD₁₆	—	13	1	no	—
1099	C₂×SD₁₆	—	13	1	no	—
1100	C₂×SD₁₆	—	13	1	no	—
1101	C₂×SD₁₆	—	52	2	no	—
1102	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1103	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1104	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1105	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1106	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1107	C₂×D₈	—	13	1	no	—
1108	C₂×D₈	—	13	1	no	—
1109	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1110	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1111	C₂²×C₈	—	13	1	no	—
1112	C₂²×C₈	—	13	1	no	—
1113	C₂²×C₈	—	13	1	no	—
1114	C₂²×C₈	—	13	1	no	—
1115	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1116	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1117	C₄⋊Q₈	—	13	1	no	—
1118	C₄⋊Q₈	—	13	1	no	—
1119	C₄⋊Q₈	—	13	1	no	—
1120	C₄⋊Q₈	—	13	1	no	—
1121	C₄⋊Q₈	—	13	1	no	—
1122	C₄⋊Q₈	—	13	1	no	—
1123	C₄⋊Q₈	—	13	1	no	—
1124	C₄⋊Q₈	—	26	1	no	—
1125	C₄⋊Q₈	—	26	1	no	—
1126	#127	—	13	1	no	—
1127	#126	—	26	1	no	—
1128	#126	—	26	1	no	—
1129	#126	—	26	1	no	—
1130	#126	—	26	1	no	—
1131	#126	—	26	1	no	—
1132	#126	—	26	1	no	—
1133	#126	—	26	1	no	—
1134	#126	—	26	1	no	—
1135	#126	—	26	1	no	—
1136	#126	—	26	1	no	—
1137	#125	—	13	1	no	—
1138	#125	—	13	1	no	—
1139	#125	—	26	1	no	—
1140	#125	—	26	1	no	—
1141	#125	—	26	1	no	—
1142	#125	—	26	1	no	—
1143	#125	—	26	1	no	—
1144	#124	—	2	1	no	—
1145	#124	—	13	1	no	—
1146	#124	—	13	1	no	—
1147	#124	—	13	1	no	—
1148	#124	—	13	1	no	—
1149	#124	—	26	1	no	—
1150	#124	—	26	1	no	—
1151	#124	—	26	1	no	—
1152	#124	—	26	1	no	—
1153	#124	—	26	1	no	—
1154	#124	—	26	1	no	—
1155	#124	C₂²×D₁₃	1	1	yes	characteristic
1156	#124	C₂²×D₁₃	1	1	yes	characteristic
1157	#123	—	2	1	no	—
1158	#123	—	26	1	no	—
1159	#123	—	26	1	no	—
1160	#123	—	26	1	no	—
1161	#123	—	26	1	no	—
1162	#123	—	26	1	no	—
1163	#123	—	26	1	no	—
1164	#123	—	26	1	no	—
1165	#123	—	26	1	no	—
1166	#123	—	26	1	no	—
1167	#123	—	26	1	no	—
1168	#123	—	26	1	no	—
1169	C₂²⋊Q₈	—	2	1	no	—
1170	C₂²⋊Q₈	—	13	1	no	—
1171	C₂²⋊Q₈	—	13	1	no	—
1172	C₂²⋊Q₈	—	13	1	no	—
1173	C₂²⋊Q₈	—	13	1	no	—
1174	C₂²⋊Q₈	—	13	1	no	—
1175	C₂²⋊Q₈	—	13	1	no	—
1176	C₂²⋊Q₈	—	26	1	no	—
1177	C₂²⋊Q₈	—	26	1	no	—
1178	C₂²⋊Q₈	—	26	1	no	—
1179	C₂²⋊Q₈	—	26	1	no	—
1180	C₂²⋊Q₈	—	26	1	no	—
1181	C₂²⋊Q₈	—	26	1	no	—
1182	C₂²⋊Q₈	—	26	1	no	—
1183	C₂²⋊Q₈	—	26	1	no	—
1184	C₂²⋊Q₈	—	26	1	no	—
1185	C₂²⋊Q₈	—	26	1	no	—
1186	C₂²⋊Q₈	—	26	1	no	—
1187	C₂²⋊Q₈	—	26	1	no	—
1188	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1189	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1190	#121	—	2	1	no	—
1191	#121	—	2	1	no	—
1192	#121	—	13	1	no	—
1193	#121	—	13	1	no	—
1194	#121	—	26	1	no	—
1195	#121	—	26	1	no	—
1196	#121	—	26	1	no	—
1197	#121	—	26	1	no	—
1198	#121	—	26	1	no	—
1199	#121	—	26	1	no	—
1200	#121	—	26	1	no	—
1201	#121	—	26	1	no	—
1202	#121	—	26	1	no	—
1203	#121	—	26	1	no	—
1204	#121	—	26	1	no	—
1205	#121	—	26	1	no	—
1206	#121	—	26	1	no	—
1207	#121	C₂²×D₁₃	1	1	yes	characteristic
1208	#121	C₂²×D₁₃	1	1	yes	characteristic
1209	#120	—	2	1	no	—
1210	#120	—	26	1	no	—
1211	C₄×Q₈	—	13	1	no	—
1212	C₄×Q₈	—	13	1	no	—
1213	C₄×Q₈	—	13	1	no	—
1214	C₄×Q₈	—	13	1	no	—
1215	C₄×Q₈	—	13	1	no	—
1216	C₄×Q₈	—	13	1	no	—
1217	C₄×Q₈	—	13	1	no	—
1218	C₄×Q₈	—	13	1	no	—
1219	C₄×Q₈	—	13	1	no	—
1220	C₄×Q₈	—	26	1	no	—
1221	C₄×Q₈	—	26	1	no	—
1222	C₄×Q₈	—	26	1	no	—
1223	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1224	C₄×D₄	—	2	1	no	—
1225	C₄×D₄	—	13	1	no	—
1226	C₄×D₄	—	13	1	no	—
1227	C₄×D₄	—	13	1	no	—
1228	C₄×D₄	—	13	1	no	—
1229	C₄×D₄	—	13	1	no	—
1230	C₄×D₄	—	13	1	no	—
1231	C₄×D₄	—	13	1	no	—
1232	C₄×D₄	—	13	1	no	—
1233	C₄×D₄	—	13	1	no	—
1234	C₄×D₄	—	13	1	no	—
1235	C₄×D₄	—	13	1	no	—
1236	C₄×D₄	—	13	1	no	—
1237	C₄×D₄	—	26	1	no	—
1238	C₄×D₄	—	26	1	no	—
1239	C₄×D₄	—	26	1	no	—
1240	C₄×D₄	—	26	1	no	—
1241	C₄×D₄	—	26	1	no	—
1242	C₄×D₄	—	26	1	no	—
1243	C₄×D₄	—	26	1	no	—
1244	C₄×D₄	—	26	1	no	—
1245	C₄×D₄	—	26	1	no	—
1246	C₄×D₄	—	26	1	no	—
1247	C₄×D₄	—	26	1	no	—
1248	C₄×D₄	—	26	1	no	—
1249	C₄×D₄	—	26	1	no	—
1250	C₄×D₄	—	26	1	no	—
1251	C₄×D₄	—	26	1	no	—
1252	C₄×D₄	—	26	1	no	—
1253	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1254	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1255	#117	—	13	1	no	—
1256	#117	—	13	1	no	—
1257	#117	—	13	1	no	—
1258	#117	—	13	1	no	—
1259	#117	—	13	1	no	—
1260	#117	—	26	1	no	—
1261	#117	—	26	1	no	—
1262	#117	—	26	1	no	—
1263	#117	—	26	1	no	—
1264	#117	—	26	1	no	—
1265	#117	—	26	1	no	—
1266	#117	—	26	1	no	—
1267	#117	—	26	1	no	—
1268	#117	—	26	1	no	—
1269	#117	—	26	1	no	—
1270	#117	—	26	1	no	—
1271	#117	—	26	1	no	—
1272	#117	—	26	1	no	—
1273	C₂×C₄⋊C₄	—	13	1	no	—
1274	C₂×C₄⋊C₄	—	26	1	no	—
1275	C₂×C₄⋊C₄	—	26	1	no	—
1276	C₂×C₄⋊C₄	—	26	1	no	—
1277	C₂×C₄⋊C₄	—	26	1	no	—
1278	C₂×C₄⋊C₄	—	26	1	no	—
1279	C₂×C₄⋊C₄	—	26	1	no	—
1280	C₂×C₂²⋊C₄	—	2	1	no	—
1281	C₂×C₂²⋊C₄	—	26	1	no	—
1282	C₂×C₂²⋊C₄	—	26	1	no	—
1283	C₂×C₄²	—	13	1	no	—
1284	C₂×C₄²	—	13	1	no	—
1285	C₂×C₄²	—	13	1	no	—
1286	C₂×C₄²	—	26	1	no	—
1287	C₂×C₄²	—	26	1	no	—
1288	#107	—	13	1	no	—
1289	#107	—	13	1	no	—
1290	#107	—	13	1	no	—
1291	#107	—	13	1	no	—
1292	#106	—	13	1	no	—
1293	#106	—	13	1	no	—
1294	#106	—	13	1	no	—
1295	#106	C₂²×D₁₃	1	1	yes	characteristic
1296	C₄⋊C₈	—	13	1	no	—
1297	C₄⋊C₈	—	13	1	no	—
1298	C₄⋊C₈	—	13	1	no	—
1299	C₄⋊C₈	—	13	1	no	—
1300	C₄⋊C₈	—	13	1	no	—
1301	C₄⋊C₈	—	13	1	no	—
1302	C₄⋊C₈	—	13	1	no	—
1303	C₄⋊C₈	—	13	1	no	—
1304	C₄⋊C₈	—	13	1	no	—
1305	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1306	#103	—	13	1	no	—
1307	#103	—	13	1	no	—
1308	#103	—	13	1	no	—
1309	#103	—	13	1	no	—
1310	#103	—	13	1	no	—
1311	#103	—	13	1	no	—
1312	#103	—	13	1	no	—
1313	#103	—	13	1	no	—
1314	#103	—	13	1	no	—
1315	#103	—	13	1	no	—
1316	#103	—	13	1	no	—
1317	#103	—	13	1	no	—
1318	#103	—	13	1	no	—
1319	#103	—	13	1	no	—
1320	#103	—	13	1	no	—
1321	#103	—	13	1	no	—
1322	#103	—	13	1	no	—
1323	#103	C₂²×D₁₃	1	1	yes	characteristic
1324	#103	C₂²×D₁₃	1	1	yes	characteristic
1325	#103	C₂²×D₁₃	1	1	yes	characteristic
1326	#102	—	13	1	no	—
1327	#102	—	13	1	no	—
1328	#102	—	13	1	no	—
1329	#102	—	13	1	no	—
1330	#102	—	13	1	no	—
1331	#102	—	13	1	no	—
1332	#102	—	13	1	no	—
1333	#102	—	13	1	no	—
1334	#102	—	13	1	no	—
1335	#102	C₂²×D₁₃	1	1	yes	characteristic
1336	#102	C₂²×D₁₃	1	1	yes	characteristic
1337	#102	C₂²×D₁₃	1	1	yes	characteristic
1338	C₂²⋊C₈	—	13	1	no	—
1339	C₂²⋊C₈	—	13	1	no	—
1340	C₂²⋊C₈	—	13	1	no	—
1341	C₂²⋊C₈	—	13	1	no	—
1342	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1343	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1344	C₄×C₈	—	13	1	no	—
1345	C₄×C₈	—	13	1	no	—
1346	C₄×C₈	—	13	1	no	—
1347	C₄×C₈	—	13	1	no	—
1348	C₄×C₈	—	13	1	no	—
1349	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1350	C₂×C₁₃	—	2	2	no	—
1351	C₂×C₁₃	—	4	1	no	—
1352	C₂×C₁₃	—	4	2	no	—
1353	C₂×C₁₃	—	8	1	no	—
1354	C₂×C₁₃	—	8	1	no	—
1355	C₂×C₁₃	#3488	1	1	yes	characteristic
1356	C₂×C₁₃	C₂²×#135	1	1	yes	characteristic
1357	C₂×C₁₃	#3586	1	1	yes	characteristic
1358	D₁₃	—	4	1	no	—
1359	D₁₃	—	8	1	no	—
1360	C₂⁴	—	2	1	no	—
1361	#41	—	2	2	no	—
1362	#41	—	4	1	no	—
1363	#41	—	4	1	no	—
1364	#41	—	4	1	no	—
1365	#41	—	26	4	no	—
1366	#41	—	26	2	no	—
1367	#41	—	52	1	no	—
1368	#41	—	52	1	no	—
1369	#41	—	52	4	no	—
1370	#41	—	52	1	no	—
1371	#41	—	52	1	no	—
1372	#41	—	52	1	no	—
1373	#41	—	52	1	no	—
1374	#41	—	52	1	no	—
1375	C₂×Q₈	—	2	1	no	—
1376	C₂×Q₈	—	4	1	no	—
1377	C₂×Q₈	—	4	1	no	—
1378	C₂×Q₈	—	13	1	no	—
1379	C₂×Q₈	—	13	1	no	—
1380	C₂×Q₈	—	13	1	no	—
1381	C₂×Q₈	—	13	1	no	—
1382	C₂×Q₈	—	26	1	no	—
1383	C₂×Q₈	—	26	1	no	—
1384	C₂×Q₈	—	26	1	no	—
1385	C₂×Q₈	—	52	1	no	—
1386	C₂×Q₈	—	52	1	no	—
1387	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1388	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1389	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1390	C₂×D₄	—	2	2	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	2	1	no	—
1395	C₂×D₄	—	2	1	no	—
1396	C₂×D₄	—	4	1	no	—
1397	C₂×D₄	—	13	1	no	—
1398	C₂×D₄	—	13	1	no	—
1399	C₂×D₄	—	13	1	no	—
1400	C₂×D₄	—	26	1	no	—
1401	C₂×D₄	—	26	1	no	—
1402	C₂×D₄	—	26	1	no	—
1403	C₂×D₄	—	26	1	no	—
1404	C₂×D₄	—	26	1	no	—
1405	C₂×D₄	—	26	1	no	—
1406	C₂×D₄	—	26	1	no	—
1407	C₂×D₄	—	26	1	no	—
1408	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1409	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1410	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1411	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1412	C₂²×C₄	—	2	1	no	—
1413	C₂²×C₄	—	2	1	no	—
1414	C₂²×C₄	—	2	1	no	—
1415	C₂²×C₄	—	2	1	no	—
1416	C₂²×C₄	—	13	1	no	—
1417	C₂²×C₄	—	13	1	no	—
1418	C₂²×C₄	—	13	1	no	—
1419	C₂²×C₄	—	13	1	no	—
1420	C₂²×C₄	—	13	1	no	—
1421	C₂²×C₄	—	13	1	no	—
1422	C₂²×C₄	—	13	1	no	—
1423	C₂²×C₄	—	26	1	no	—
1424	C₂²×C₄	—	26	1	no	—
1425	C₂²×C₄	—	26	1	no	—
1426	C₂²×C₄	—	26	1	no	—
1427	C₂²×C₄	—	26	1	no	—
1428	C₂²×C₄	—	26	1	no	—
1429	C₂²×C₄	—	26	1	no	—
1430	C₂²×C₄	—	26	1	no	—
1431	C₂²×C₄	—	26	1	no	—
1432	C₂²×C₄	—	26	1	no	—
1433	C₂²×C₄	—	26	1	no	—
1434	C₂²×C₄	—	26	1	no	—
1435	C₂²×C₄	—	26	1	no	—
1436	C₂²×C₄	—	52	4	no	—
1437	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1438	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1439	Q₁₆	—	4	1	no	—
1440	Q₁₆	—	4	1	no	—
1441	Q₁₆	—	52	1	no	—
1442	Q₁₆	—	52	1	no	—
1443	Q₁₆	—	52	1	no	—
1444	Q₁₆	—	52	1	no	—
1445	Q₁₆	—	52	1	no	—
1446	Q₁₆	—	52	1	no	—
1447	SD₁₆	—	2	2	no	—
1448	SD₁₆	—	2	2	no	—
1449	SD₁₆	—	4	1	no	—
1450	SD₁₆	—	4	1	no	—
1451	SD₁₆	—	4	1	no	—
1452	SD₁₆	—	26	2	no	—
1453	SD₁₆	—	26	2	no	—
1454	SD₁₆	—	52	1	no	—
1455	SD₁₆	—	52	1	no	—
1456	SD₁₆	—	52	1	no	—
1457	SD₁₆	—	52	1	no	—
1458	SD₁₆	—	52	1	no	—
1459	D₈	—	2	2	no	—
1460	D₈	—	4	1	no	—
1461	D₈	—	26	2	no	—
1462	D₈	—	52	1	no	—
1463	C₂×C₈	—	4	1	no	—
1464	C₂×C₈	—	4	1	no	—
1465	C₂×C₈	—	13	1	no	—
1466	C₂×C₈	—	13	1	no	—
1467	C₂×C₈	—	13	1	no	—
1468	C₂×C₈	—	13	1	no	—
1469	C₂×C₈	—	52	1	no	—
1470	C₂×C₈	—	52	1	no	—
1471	C₂×C₈	—	52	1	no	—
1472	C₂×C₈	—	52	1	no	—
1473	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1474	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1475	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1476	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	13	1	no	—
1481	C₄⋊C₄	—	13	1	no	—
1482	C₄⋊C₄	—	13	1	no	—
1483	C₄⋊C₄	—	13	1	no	—
1484	C₄⋊C₄	—	13	1	no	—
1485	C₄⋊C₄	—	13	1	no	—
1486	C₄⋊C₄	—	13	1	no	—
1487	C₄⋊C₄	—	13	1	no	—
1488	C₄⋊C₄	—	13	1	no	—
1489	C₄⋊C₄	—	26	1	no	—
1490	C₄⋊C₄	—	26	1	no	—
1491	C₄⋊C₄	—	26	1	no	—
1492	C₄⋊C₄	—	26	1	no	—
1493	C₄⋊C₄	—	26	1	no	—
1494	C₄⋊C₄	—	26	1	no	—
1495	C₄⋊C₄	—	26	1	no	—
1496	C₄⋊C₄	—	26	1	no	—
1497	C₄⋊C₄	—	26	1	no	—
1498	C₄⋊C₄	—	26	1	no	—
1499	C₄⋊C₄	—	26	1	no	—
1500	C₄⋊C₄	—	26	1	no	—
1501	C₄⋊C₄	—	26	1	no	—
1502	C₄⋊C₄	—	26	1	no	—
1503	C₄⋊C₄	—	26	1	no	—
1504	C₄⋊C₄	—	26	1	no	—
1505	C₄⋊C₄	—	26	1	no	—
1506	C₄⋊C₄	—	26	1	no	—
1507	C₄⋊C₄	—	26	1	no	—
1508	C₄⋊C₄	—	26	1	no	—
1509	C₄⋊C₄	—	26	1	no	—
1510	C₄⋊C₄	—	26	1	no	—
1511	C₄⋊C₄	—	26	1	no	—
1512	C₄⋊C₄	—	26	1	no	—
1513	C₄⋊C₄	—	26	1	no	—
1514	C₄⋊C₄	—	26	1	no	—
1515	C₄⋊C₄	—	26	1	no	—
1516	C₄⋊C₄	—	26	1	no	—
1517	C₄⋊C₄	—	26	1	no	—
1518	C₄⋊C₄	—	26	1	no	—
1519	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1520	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1521	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	13	1	no	—
1532	C₂²⋊C₄	—	13	1	no	—
1533	C₂²⋊C₄	—	13	1	no	—
1534	C₂²⋊C₄	—	13	1	no	—
1535	C₂²⋊C₄	—	26	1	no	—
1536	C₂²⋊C₄	—	26	1	no	—
1537	C₂²⋊C₄	—	26	1	no	—
1538	C₂²⋊C₄	—	26	1	no	—
1539	C₂²⋊C₄	—	26	1	no	—
1540	C₂²⋊C₄	—	26	1	no	—
1541	C₂²⋊C₄	—	26	1	no	—
1542	C₂²⋊C₄	—	26	1	no	—
1543	C₂²⋊C₄	—	26	1	no	—
1544	C₂²⋊C₄	—	26	1	no	—
1545	C₂²⋊C₄	—	26	1	no	—
1546	C₂²⋊C₄	—	26	1	no	—
1547	C₂²⋊C₄	—	26	1	no	—
1548	C₂²⋊C₄	—	26	1	no	—
1549	C₂²⋊C₄	—	26	1	no	—
1550	C₂²⋊C₄	—	26	1	no	—
1551	C₂²⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1561	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1562	C₄²	—	2	1	no	—
1563	C₄²	—	13	1	no	—
1564	C₄²	—	13	1	no	—
1565	C₄²	—	13	1	no	—
1566	C₄²	—	13	1	no	—
1567	C₄²	—	13	1	no	—
1568	C₄²	—	13	1	no	—
1569	C₄²	—	13	1	no	—
1570	C₄²	—	13	1	no	—
1571	C₄²	—	13	1	no	—
1572	C₄²	—	26	1	no	—
1573	C₄²	—	26	1	no	—
1574	C₄²	—	26	1	no	—
1575	C₄²	—	26	1	no	—
1576	C₄²	—	26	1	no	—
1577	C₄²	—	26	1	no	—
1578	C₄²	—	26	1	no	—
1579	C₄²	—	26	1	no	—
1580	C₄²	—	26	1	no	—
1581	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1582	C₁₃	#61950	1	1	yes	characteristic, complemented, Sylow
1583	C₂³	—	2	1	no	—
1584	C₂³	—	2	1	no	—
1585	C₂³	—	2	1	no	—
1586	C₂³	—	4	2	no	—
1587	C₂³	—	4	2	no	—
1588	C₂³	—	8	1	no	—
1589	C₂³	—	13	1	no	—
1590	C₂³	—	26	1	no	—
1591	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1592	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1593	Q₈	—	2	1	no	—
1594	Q₈	—	2	1	no	—
1595	Q₈	—	2	1	no	—
1596	Q₈	—	2	1	no	—
1597	Q₈	—	2	1	no	—
1598	Q₈	—	2	1	no	—
1599	Q₈	—	8	1	no	—
1600	Q₈	—	26	2	no	—
1601	Q₈	—	26	1	no	—
1602	Q₈	—	26	1	no	—
1603	Q₈	—	26	1	no	—
1604	Q₈	—	26	1	no	—
1605	Q₈	—	26	1	no	—
1606	Q₈	—	26	1	no	—
1607	Q₈	—	52	2	no	—
1608	Q₈	—	104	1	no	—
1609	Q₈	—	104	1	no	—
1610	D₄	—	2	2	no	—
1611	D₄	—	2	1	no	—
1612	D₄	—	2	1	no	—
1613	D₄	—	2	1	no	—
1614	D₄	—	2	1	no	—
1615	D₄	—	2	1	no	—
1616	D₄	—	4	2	no	—
1617	D₄	—	4	2	no	—
1618	D₄	—	4	2	no	—
1619	D₄	—	8	1	no	—
1620	D₄	—	8	1	no	—
1621	D₄	—	26	2	no	—
1622	D₄	—	26	2	no	—
1623	D₄	—	26	1	no	—
1624	D₄	—	26	1	no	—
1625	D₄	—	52	2	no	—
1626	D₄	—	52	2	no	—
1627	D₄	—	52	2	no	—
1628	D₄	—	52	2	no	—
1629	D₄	—	104	1	no	—
1630	D₄	—	104	1	no	—
1631	D₄	—	104	1	no	—
1632	D₄	—	104	1	no	—
1633	D₄	#88251	1	2	yes	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	4	2	no	—
1644	C₂×C₄	—	8	1	no	—
1645	C₂×C₄	—	8	1	no	—
1646	C₂×C₄	—	8	1	no	—
1647	C₂×C₄	—	13	4	no	—
1648	C₂×C₄	—	13	1	no	—
1649	C₂×C₄	—	13	1	no	—
1650	C₂×C₄	—	13	1	no	—
1651	C₂×C₄	—	13	1	no	—
1652	C₂×C₄	—	13	1	no	—
1653	C₂×C₄	—	13	1	no	—
1654	C₂×C₄	—	13	1	no	—
1655	C₂×C₄	—	26	2	no	—
1656	C₂×C₄	—	26	2	no	—
1657	C₂×C₄	—	26	1	no	—
1658	C₂×C₄	—	26	1	no	—
1659	C₂×C₄	—	26	1	no	—
1660	C₂×C₄	—	26	1	no	—
1661	C₂×C₄	—	26	1	no	—
1662	C₂×C₄	—	26	1	no	—
1663	C₂×C₄	—	26	1	no	—
1664	C₂×C₄	—	26	1	no	—
1665	C₂×C₄	—	26	1	no	—
1666	C₂×C₄	—	52	1	no	—
1667	C₂×C₄	—	52	2	no	—
1668	C₂×C₄	—	52	2	no	—
1669	C₂×C₄	—	52	2	no	—
1670	C₂×C₄	—	52	2	no	—
1671	C₂×C₄	—	52	2	no	—
1672	C₂×C₄	—	52	2	no	—
1673	C₂×C₄	—	52	1	no	—
1674	C₂×C₄	—	52	1	no	—
1675	C₂×C₄	—	52	2	no	—
1676	C₂×C₄	—	52	2	no	—
1677	C₂×C₄	—	104	1	no	—
1678	C₂×C₄	—	104	1	no	—
1679	C₂×C₄	—	104	1	no	—
1680	C₂×C₄	—	104	1	no	—
1681	C₂×C₄	—	104	1	no	—
1682	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1683	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1684	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1685	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1686	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1687	C₈	—	2	1	no	—
1688	C₈	—	2	1	no	—
1689	C₈	—	2	1	no	—
1690	C₈	—	2	1	no	—
1691	C₈	—	26	1	no	—
1692	C₈	—	26	1	no	—
1693	C₈	—	26	1	no	—
1694	C₈	—	26	1	no	—
1695	C₂²	—	2	1	no	—
1696	C₂²	—	2	1	no	—
1697	C₂²	—	2	1	no	—
1698	C₂²	—	2	2	no	—
1699	C₂²	—	2	1	no	—
1700	C₂²	—	2	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	4	1	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	4	1	no	—
1708	C₂²	—	4	1	no	—
1709	C₂²	—	8	4	no	—
1710	C₂²	—	26	1	no	—
1711	C₂²	—	26	1	no	—
1712	C₂²	—	26	1	no	—
1713	C₂²	—	52	1	no	—
1714	C₂²	—	52	1	no	—
1715	C₂²	—	52	1	no	—
1716	C₂²	D₁₃×#135	1	2	yes	—
1717	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1718	C₄	—	2	1	no	—
1719	C₄	—	2	1	no	—
1720	C₄	—	2	1	no	—
1721	C₄	—	2	1	no	—
1722	C₄	—	4	1	no	—
1723	C₄	—	4	1	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	1	no	—
1727	C₄	—	13	2	no	—
1728	C₄	—	13	2	no	—
1729	C₄	—	26	1	no	—
1730	C₄	—	26	1	no	—
1731	C₄	—	26	1	no	—
1732	C₄	—	26	1	no	—
1733	C₄	—	26	1	no	—
1734	C₄	—	52	1	no	—
1735	C₄	—	52	1	no	—
1736	C₄	—	52	1	no	—
1737	C₄	—	52	1	no	—
1738	C₄	—	52	1	no	—
1739	C₄	—	52	1	no	—
1740	C₄	—	52	1	no	—
1741	C₄	C₂×#88251	1	1	yes	characteristic
1742	C₄	#11719650	1	1	yes	characteristic
1743	C₂	—	2	2	no	—
1744	C₂	—	4	1	no	—
1745	C₂	—	4	2	no	—
1746	C₂	—	8	1	no	—
1747	C₂	—	8	1	no	—
1748	C₂	—	52	1	no	—
1749	C₂	—	104	1	no	—
1750	C₂	#13128496	1	1	yes	characteristic
1751	C₂	C₂×D₁₃×#135	1	1	yes	characteristic
1752	C₂	#13129618	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×#3282	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3282	D₁₃
hypocenter	C₁₃	#61950
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3282

Complements

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

N	H ≅ G/N	type
1. #13128742	C₂	semidirect
2. #13128387	C₂	semidirect
3. #13127821	C₂	semidirect
4. #13127819	C₂	semidirect
5. #13127486	C₂	semidirect
6. #13127480	C₂	semidirect
7. #13126759	C₂	semidirect
8. #13126757	C₂	semidirect
9. #13126729	C₂	semidirect
10. #13126727	C₂	semidirect
11. #13126725	C₂	semidirect
12. #13126723	C₂	semidirect
13. #13126552	C₂	semidirect
14. #13126551	C₂	semidirect
15. #13126547	C₂	semidirect
16. #13126543	C₂	semidirect
17. #13126539	C₂	semidirect
18. #13126170	C₂	semidirect
19. #13126166	C₂	semidirect
20. #13126147	C₂	semidirect
21. #13125809	C₂	semidirect
22. #13125807	C₂	semidirect
23. #13125782	C₂	semidirect
24. #13124903	C₂	semidirect
25. #13124900	C₂	semidirect
26. #13124831	C₂	semidirect
27. #13124288	C₂	semidirect
28. #13124287	C₂	semidirect
29. C₂×#11718823	C₂	semidirect
30. #13123943	C₂	semidirect
31. C₁₃×#3282	C₂	semidirect
36. #11719537	C₂²	semidirect
39. #11719529	C₂²	semidirect
50. #11719376	C₂²	semidirect
53. #11719373	C₂²	semidirect
59. #11719336	C₂²	semidirect
61. #11719327	C₂²	semidirect
72. #11719283	C₂²	semidirect
73. #11719273	C₂²	semidirect
95. #11718900	C₂²	semidirect
96. #11718894	C₂²	semidirect
100. #11718849	C₂²	semidirect
101. #11718848	C₂²	semidirect
102. #11718846	C₂²	semidirect
103. Q₁₆×Dic₁₃	C₂²	semidirect
104. #11718843	C₂²	semidirect
105. #11718843	C₂²	semidirect
106. #11718842	C₂²	semidirect
107. #11718842	C₂²	semidirect
109. #11718834	C₂²	semidirect
114. #11718827	C₂²	semidirect
116. #11718824	C₂²	semidirect
125. #11718823	C₂²	semidirect
134. #11718777	C₂²	semidirect
136. #11718774	C₂²	semidirect
138. C₈×C₂²⋊D₁₃	C₂²	semidirect
141. C₂×#88054	C₂²	semidirect
143. #11718717	C₂²	semidirect
145. #11718715	C₂²	semidirect
146. #11718712	C₂²	semidirect
149. #11718706	C₂²	semidirect
154. C₄×#6107	C₂²	semidirect
155. #11718683	C₂²	semidirect
159. #11718531	C₂²	semidirect
160. #11718528	C₂²	semidirect
161. #11718518	C₂²	semidirect
162. #11718515	C₂²	semidirect
163. #11718506	C₂²	semidirect
164. D₁₃×C₄⋊C₈	C₂²	semidirect
165. #11718491	C₂²	semidirect
166. #11718490	C₂²	semidirect
167. #11718479	C₂²	semidirect
168. #11718475	C₂²	semidirect
169. #11718474	C₂²	semidirect
170. #11718465	C₂²	semidirect
171. #11718461	C₂²	semidirect
172. #11718457	C₂²	semidirect
173. #11718454	C₂²	semidirect
174. #11718454	C₂²	semidirect
175. #11718453	C₂²	semidirect
176. #11718453	C₂²	semidirect
177. #11718452	C₂²	semidirect
178. #11718451	C₂²	semidirect
181. #11718433	C₂²	semidirect
182. #11718429	C₂²	semidirect
184. #11718423	C₂²	semidirect
185. #11718422	C₂²	semidirect
193. #11718394	C₂²	semidirect
195. #11718386	C₂²	semidirect
196. #11718384	C₂²	semidirect
198. #11718379	C₂²	semidirect
199. C₄×Dic₅₂	C₂²	semidirect
200. #11718358	C₂²	semidirect
201. #11718346	C₂²	semidirect
202. C₈×Dic₂₆	C₂²	semidirect
724. #3282	D₁₃	semidirect
814. C₂×Dic₁₃	#135	semidirect
1582. C₁₃	#61950	semidirect

Maximal subgroups

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

subgroup	index
#13128742	2
#13128387	2
#13127821	2
#13127819	2
#13127486	2
#13127480	2
#13126759	2
#13126757	2
#13126729	2
#13126727	2
#13126725	2
#13126723	2
#13126552	2
#13126551	2
#13126547	2
#13126543	2
#13126539	2
#13126170	2
#13126166	2
#13126147	2
#13125809	2
#13125807	2
#13125782	2
#13124903	2
#13124900	2
#13124831	2
#13124288	2
#13124287	2
C₂×#11718823	2
#13123943	2
C₁₃×#3282	2
#61950	13