Subgroups — #16759628

Order 3328.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129266	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128765	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127782	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127730	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127625	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127601	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127381	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127309	C₂	1	1	yes	maximal, characteristic, complemented
9	#13127308	C₂	1	1	yes	maximal, characteristic, complemented
10	#13127286	C₂	1	1	yes	maximal, characteristic, complemented
11	#13127218	C₂	1	1	yes	maximal, characteristic, complemented
12	#13127188	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126978	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126910	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126797	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126687	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126653	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126302	C₂	1	1	yes	maximal, characteristic, complemented
19	#13126250	C₂	1	1	yes	maximal, characteristic, complemented
20	#13126186	C₂	1	1	yes	maximal, characteristic, complemented
21	#13126140	C₂	1	1	yes	maximal, characteristic, complemented
22	#13126095	C₂	1	1	yes	maximal, characteristic, complemented
23	#13126062	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125106	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125021	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124978	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124696	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124669	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#476	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123971	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3311	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#546	C₂²	1	1	yes	characteristic
34	#11719534	C₂²	1	1	yes	characteristic
35	#11719532	C₂²	1	1	yes	characteristic
36	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
37	#11719503	C₂²	1	1	yes	characteristic
38	#11719432	C₂²	1	1	yes	characteristic, complemented
39	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
40	#11719417	—	2	1	no	—
41	#11719417	—	2	1	no	—
42	#11719412	—	2	1	no	—
43	#11719412	—	2	1	no	—
44	#11719386	C₂²	1	1	yes	characteristic
45	#11719385	C₂²	1	1	yes	characteristic
46	#11719382	—	2	1	no	—
47	#11719380	—	2	1	no	—
48	#11719370	—	2	1	no	—
49	#11719363	—	2	1	no	—
50	#11719348	C₂²	1	1	yes	characteristic
51	#11719348	C₂²	1	1	yes	characteristic, complemented
52	#11719348	C₂²	1	1	yes	characteristic, complemented
53	#11719344	C₂²	1	1	yes	characteristic
54	#11719340	C₂²	1	1	yes	characteristic
55	#11719340	C₂²	1	1	yes	characteristic, complemented
56	#11719324	C₂²	1	1	yes	characteristic
57	#11719316	C₂²	1	1	yes	characteristic
58	#11719311	—	2	1	no	—
59	#11719306	—	2	1	no	—
60	#11719298	—	2	1	no	—
61	#11719296	—	2	1	no	—
62	#11719288	—	2	1	no	—
63	#11719285	C₂²	1	1	yes	characteristic, complemented
64	Q₈×D₅₂	—	2	1	no	—
65	#11719275	C₂²	1	1	yes	characteristic, complemented
66	#11719270	C₂²	1	1	yes	characteristic
67	#11719262	C₂²	1	1	yes	characteristic
68	#11719260	C₂²	1	1	yes	characteristic, complemented
69	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
70	#11719244	C₂²	1	1	yes	characteristic
71	#11719235	C₂²	1	1	yes	characteristic
72	#11719235	C₂²	1	1	yes	characteristic, complemented
73	#11719224	C₂²	1	1	yes	characteristic, complemented
74	#11719224	C₂²	1	1	yes	characteristic, complemented
75	#11719200	—	2	1	no	—
76	C₂×#88137	—	2	1	no	—
77	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#476	C₂²	1	1	yes	characteristic
81	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#452	C₂²	1	1	yes	characteristic
85	C₁₃×#450	C₂²	1	1	yes	characteristic
86	C₁₃×#440	C₂²	1	1	yes	characteristic
87	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#418	C₂²	1	1	yes	characteristic
89	C₁₃×#416	C₂²	1	1	yes	characteristic
90	#11718899	C₂²	1	1	yes	characteristic
91	#11718893	C₂²	1	1	yes	characteristic
92	#11718878	C₂²	1	1	yes	characteristic
93	C₂×#88072	C₂²	1	1	yes	characteristic
94	#11718849	C₂²	1	1	yes	characteristic, complemented
95	#11718846	C₂²	1	1	yes	characteristic, complemented
96	#11718846	C₂²	1	1	yes	characteristic, complemented
97	#11718845	C₂²	1	1	yes	characteristic, complemented
98	#11718832	C₂²	1	1	yes	characteristic
99	#11718830	C₂²	1	1	yes	characteristic
100	#11718826	C₂²	1	1	yes	characteristic
101	#11718826	C₂²	1	1	yes	characteristic, complemented
102	#11718825	C₂²	1	1	yes	characteristic
103	#11718824	C₂²	1	1	yes	characteristic
104	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
105	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
106	#11718796	C₂²	1	1	yes	characteristic
107	#11718788	C₂²	1	1	yes	characteristic
108	#11718782	C₂²	1	1	yes	characteristic, complemented
109	#11718780	C₂²	1	1	yes	characteristic, complemented
110	#11718776	C₂²	1	1	yes	characteristic, complemented
111	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
112	C₂×#88057	C₂²	1	1	yes	characteristic, complemented
113	#11718763	C₂²	1	1	yes	characteristic, complemented
114	#11718745	C₂²	1	1	yes	characteristic, complemented
115	#11718741	C₂²	1	1	yes	characteristic, complemented
116	#11718718	C₂²	1	1	yes	characteristic, complemented
117	#11718716	C₂²	1	1	yes	characteristic, complemented
118	#11718710	C₂²	1	1	yes	characteristic, complemented
119	#11718709	C₂²	1	1	yes	characteristic
120	#11718709	C₂²	1	1	yes	characteristic, complemented
121	#11718706	C₂²	1	1	yes	characteristic, complemented
122	#11718704	C₂²	1	1	yes	characteristic, complemented
123	#11718704	C₂²	1	1	yes	characteristic, complemented
124	#11718700	C₂²	1	1	yes	characteristic, complemented
125	#11718695	C₂²	1	1	yes	characteristic, complemented
126	#11718687	C₂²	1	1	yes	characteristic, complemented
127	#11718683	C₂²	1	1	yes	characteristic, complemented
128	#11718675	C₂²	1	1	yes	characteristic
129	#11718672	C₂²	1	1	yes	characteristic, complemented
130	#11718669	C₂²	1	1	yes	characteristic
131	#11718664	C₂²	1	1	yes	characteristic
132	#11718664	C₂²	1	1	yes	characteristic, complemented
133	#11718659	C₂²	1	1	yes	characteristic, complemented
134	#11718656	C₂²	1	1	yes	characteristic, complemented
135	#11718552	C₂²	1	1	yes	characteristic, complemented
136	#11718543	C₂²	1	1	yes	characteristic, complemented
137	#11718539	C₂²	1	1	yes	characteristic, complemented
138	#11718537	C₂²	1	1	yes	characteristic, complemented
139	#11718532	C₂²	1	1	yes	characteristic, complemented
140	#11718531	C₂²	1	1	yes	characteristic, complemented
141	#11718531	C₂²	1	1	yes	characteristic, complemented
142	#11718531	C₂²	1	1	yes	characteristic, complemented
143	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
144	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
145	#11718517	C₂²	1	1	yes	characteristic, complemented
146	#11718516	C₂²	1	1	yes	characteristic, complemented
147	#11718508	C₂²	1	1	yes	characteristic, complemented
148	#11718503	C₂²	1	1	yes	characteristic, complemented
149	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
150	#11718489	C₂²	1	1	yes	characteristic, complemented
151	#11718480	C₂²	1	1	yes	characteristic, complemented
152	#11718480	C₂²	1	1	yes	characteristic, complemented
153	#11718470	C₂²	1	1	yes	characteristic, complemented
154	#11718470	C₂²	1	1	yes	characteristic, complemented
155	#11718468	C₂²	1	1	yes	characteristic, complemented
156	#11718466	C₂²	1	1	yes	characteristic, complemented
157	#11718461	C₂²	1	1	yes	characteristic, complemented
158	#11718460	C₂²	1	1	yes	characteristic, complemented
159	#11718460	C₂²	1	1	yes	characteristic, complemented
160	#11718457	C₂²	1	1	yes	characteristic, complemented
161	#11718456	C₂²	1	1	yes	characteristic, complemented
162	#11718452	C₂²	1	1	yes	characteristic, complemented
163	#11718452	C₂²	1	1	yes	characteristic, complemented
164	#11718452	C₂²	1	1	yes	characteristic, complemented
165	#11718452	C₂²	1	1	yes	characteristic, complemented
166	#11718449	C₂²	1	1	yes	characteristic, complemented
167	#11718447	C₂²	1	1	yes	characteristic
168	#11718446	C₂²	1	1	yes	characteristic
169	#11718446	C₂²	1	1	yes	characteristic, complemented
170	#11718438	C₂²	1	1	yes	characteristic
171	#11718438	C₂²	1	1	yes	characteristic
172	#11718436	C₂²	1	1	yes	characteristic
173	#11718434	C₂²	1	1	yes	characteristic
174	D₁₃×#102	C₂²	1	1	yes	characteristic
175	D₁₃×#102	C₂²	1	1	yes	characteristic
176	#11718427	C₂²	1	1	yes	characteristic
177	#11718427	C₂²	1	1	yes	characteristic, complemented
178	#11718425	C₂²	1	1	yes	characteristic
179	#11718424	C₂²	1	1	yes	characteristic
180	#11718424	C₂²	1	1	yes	characteristic
181	#11718424	C₂²	1	1	yes	characteristic, complemented
182	#11718422	C₂²	1	1	yes	characteristic
183	#11718422	C₂²	1	1	yes	characteristic
184	#11718422	C₂²	1	1	yes	characteristic
185	#11718422	C₂²	1	1	yes	characteristic, complemented
186	#11718421	C₂²	1	1	yes	characteristic
187	#11718420	C₂²	1	1	yes	characteristic
188	#11718420	C₂²	1	1	yes	characteristic, complemented
189	#11718420	C₂²	1	1	yes	characteristic, complemented
190	#11718417	C₂²	1	1	yes	characteristic
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718397	C₂²	1	1	yes	characteristic, complemented
193	#11718396	C₂²	1	1	yes	characteristic
194	#11718396	C₂²	1	1	yes	characteristic, complemented
195	#11718389	C₂²	1	1	yes	characteristic, complemented
196	#11718386	C₂²	1	1	yes	characteristic
197	#11718381	C₂²	1	1	yes	characteristic, complemented
198	#11718381	C₂²	1	1	yes	characteristic, complemented
199	#11718372	C₂²	1	1	yes	characteristic, complemented
200	#11718366	C₂²	1	1	yes	characteristic, complemented
201	#11718363	C₂²	1	1	yes	characteristic, complemented
202	#11718362	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₂²⋊D₁₃	—	2	1	no	—
206	C₂×Q₈×D₁₃	—	2	1	no	—
207	C₂×Q₈×D₁₃	—	2	1	no	—
208	C₂×#6129	—	2	1	no	—
209	C₂×#6129	—	2	1	no	—
210	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	—	2	1	no	—
212	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
216	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
217	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₁₃×#126	—	2	1	no	—
219	C₁₃×#126	—	2	1	no	—
220	C₁₃×#124	—	2	1	no	—
221	C₁₃×#124	C₂³	1	1	yes	characteristic
222	C₁₃×#123	—	2	1	no	—
223	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₃×#121	—	2	1	no	—
227	C₁₃×#121	C₂³	1	1	yes	characteristic
228	C₁₃×#120	—	2	1	no	—
229	C₄×Q₈×C₁₃	—	2	1	no	—
230	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
233	C₁₃×#117	C₂³	1	1	yes	characteristic
234	C₁₃×#117	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
236	#88207	—	2	1	no	—
237	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
238	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
239	#88201	C₂³	1	1	yes	characteristic
240	#88201	C₂³	1	1	yes	characteristic
241	#88200	—	2	1	no	—
242	#88200	C₂³	1	1	yes	characteristic
243	#88200	C₂³	1	1	yes	characteristic
244	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
245	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
246	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
247	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
248	#88198	—	2	1	no	—
249	C₂×#6106	C₂³	1	1	yes	characteristic
250	C₂×#6106	C₂³	1	1	yes	characteristic
251	#88194	C₂³	1	1	yes	characteristic
252	#88193	—	2	1	no	—
253	#88193	—	2	1	no	—
254	#88193	—	2	1	no	—
255	#88193	—	2	1	no	—
256	#88192	—	2	1	no	—
257	#88192	D₄	1	1	yes	characteristic
258	#88192	C₂³	1	1	yes	characteristic
259	#88191	—	2	1	no	—
260	#88191	—	2	1	no	—
261	#88190	D₄	1	1	yes	characteristic
262	#88189	—	2	1	no	—
263	D₄×Dic₁₃	—	2	1	no	—
264	D₄×Dic₁₃	—	2	1	no	—
265	D₄×Dic₁₃	—	2	1	no	—
266	D₄×Dic₁₃	—	2	1	no	—
267	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
268	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
269	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
270	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
271	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×#6104	C₂³	1	1	yes	characteristic
273	C₂×#6104	C₂³	1	1	yes	characteristic
274	#88184	C₂³	1	1	yes	characteristic
275	#88184	C₂³	1	1	yes	characteristic
276	#88184	C₂³	1	1	yes	characteristic
277	#88184	C₂³	1	1	yes	characteristic
278	#88183	—	2	1	no	—
279	C₄×C₂²⋊D₁₃	—	2	1	no	—
280	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
281	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
282	C₂×#6103	—	2	1	no	—
283	#88180	—	2	1	no	—
284	#88180	C₂³	1	1	yes	characteristic
285	#88180	C₂³	1	1	yes	characteristic
286	#88180	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊Dic₁₃	—	2	1	no	—
288	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
291	#88178	—	2	1	no	—
292	C₂×#6101	—	2	1	no	—
293	C₂×#6099	C₂³	1	1	yes	characteristic
294	C₂²×#1055	C₂³	1	1	yes	characteristic
295	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
296	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
298	#88152	—	2	1	no	—
299	#88152	—	2	1	no	—
300	#88152	—	2	1	no	—
301	#88152	—	2	1	no	—
302	#88152	—	2	1	no	—
303	#88151	—	2	1	no	—
304	#88151	—	2	1	no	—
305	#88151	—	2	1	no	—
306	#88151	—	2	1	no	—
307	#88151	—	2	1	no	—
308	#88151	—	2	1	no	—
309	#88151	D₄	1	1	yes	characteristic
310	#88150	—	2	1	no	—
311	#88150	—	2	1	no	—
312	#88149	C₂³	1	1	yes	characteristic
313	#88148	—	2	1	no	—
314	#88147	C₂³	1	1	yes	characteristic
315	#88147	C₂³	1	1	yes	characteristic
316	#88147	C₂³	1	1	yes	characteristic
317	#88146	—	2	1	no	—
318	C₄⋊C₄×D₁₃	—	2	1	no	—
319	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
320	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
321	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
322	#88144	—	2	1	no	—
323	#88144	—	2	1	no	—
324	#88144	D₄	1	1	yes	characteristic
325	#88144	C₂³	1	1	yes	characteristic
326	#88144	C₂³	1	1	yes	characteristic
327	#88144	C₂³	1	1	yes	characteristic
328	#88144	C₂³	1	1	yes	characteristic
329	#88143	—	2	1	no	—
330	#88143	—	2	1	no	—
331	#88143	—	2	1	no	—
332	#88142	—	2	1	no	—
333	#88142	C₂³	1	1	yes	characteristic
334	#88142	C₂³	1	1	yes	characteristic
335	#88142	C₂³	1	1	yes	characteristic
336	#88142	C₂³	1	1	yes	characteristic
337	#88142	C₂³	1	1	yes	characteristic
338	#88140	—	2	1	no	—
339	#88140	—	2	1	no	—
340	#88140	—	2	1	no	—
341	#88140	—	2	1	no	—
342	#88139	—	2	1	no	—
343	#88139	—	2	1	no	—
344	#88139	—	2	1	no	—
345	#88139	—	2	1	no	—
346	#88138	—	2	1	no	—
347	#88138	—	2	1	no	—
348	#88137	—	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	#88137	—	2	1	no	—
356	#88137	—	2	1	no	—
357	#88137	—	2	1	no	—
358	#88137	—	2	1	no	—
359	#88137	D₄	1	1	yes	characteristic
360	#88137	D₄	1	1	yes	characteristic
361	#88135	—	2	1	no	—
362	#88135	—	2	1	no	—
363	#88135	—	2	1	no	—
364	#88135	—	2	1	no	—
365	#88135	—	2	1	no	—
366	#88135	—	2	1	no	—
367	C₂²⋊C₄×D₁₃	—	2	1	no	—
368	#88133	—	2	1	no	—
369	#88133	—	2	1	no	—
370	#88133	D₄	1	1	yes	characteristic
371	#88133	D₄	1	1	yes	characteristic
372	#88132	—	2	1	no	—
373	#88132	—	2	1	no	—
374	#88132	—	2	1	no	—
375	#88132	—	2	1	no	—
376	#88132	—	2	1	no	—
377	#88132	—	2	1	no	—
378	#88132	—	2	1	no	—
379	#88132	—	2	1	no	—
380	#88132	—	2	1	no	—
381	#88131	—	2	1	no	—
382	#88130	—	2	1	no	—
383	#88130	—	2	1	no	—
384	C₄×D₅₂	—	2	1	no	—
385	C₄×D₅₂	—	2	1	no	—
386	C₄×D₅₂	—	2	1	no	—
387	C₄×D₅₂	C₂³	1	1	yes	characteristic
388	C₄×D₅₂	C₂³	1	1	yes	characteristic
389	#88126	—	2	1	no	—
390	C₄²×D₁₃	C₂³	1	1	yes	characteristic
391	#88124	—	2	1	no	—
392	#88124	—	2	1	no	—
393	#88124	C₂³	1	1	yes	characteristic
394	#88123	—	2	1	no	—
395	#88123	—	2	1	no	—
396	#88123	—	2	1	no	—
397	#88123	C₂³	1	1	yes	characteristic
398	C₄×Dic₂₆	—	2	1	no	—
399	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
400	C₁₃×#107	C₂³	1	1	yes	characteristic
401	C₁₃×#106	C₂³	1	1	yes	characteristic
402	C₁₃×#106	C₂³	1	1	yes	characteristic
403	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
404	C₁₃×#103	C₂³	1	1	yes	characteristic
405	C₁₃×#103	C₂³	1	1	yes	characteristic
406	C₁₃×#103	C₂³	1	1	yes	characteristic
407	C₁₃×#103	C₂³	1	1	yes	characteristic
408	C₁₃×#102	C₂³	1	1	yes	characteristic
409	C₁₃×#102	C₂³	1	1	yes	characteristic
410	C₁₃×#102	C₂³	1	1	yes	characteristic
411	C₁₃×#102	C₂³	1	1	yes	characteristic
412	C₁₃×#102	C₂³	1	1	yes	characteristic
413	C₁₃×#102	C₂³	1	1	yes	characteristic
414	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
415	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₁₃×#97	C₂³	1	1	yes	characteristic
417	#88075	C₂³	1	1	yes	characteristic
418	#88075	C₂³	1	1	yes	characteristic
419	#88075	C₂³	1	1	yes	characteristic
420	#88075	C₂³	1	1	yes	characteristic
421	#88075	C₂³	1	1	yes	characteristic
422	#88075	C₂³	1	1	yes	characteristic
423	#88072	C₂³	1	1	yes	characteristic
424	#88072	C₂³	1	1	yes	characteristic
425	#88072	C₂³	1	1	yes	characteristic
426	#88072	C₂³	1	1	yes	characteristic
427	#88072	C₂³	1	1	yes	characteristic
428	#88072	C₂³	1	1	yes	characteristic
429	C₂²⋊#1055	C₂³	1	1	yes	characteristic
430	C₂²⋊#1055	C₂³	1	1	yes	characteristic
431	#88061	C₂³	1	1	yes	characteristic
432	#88061	C₂³	1	1	yes	characteristic
433	#88061	C₂³	1	1	yes	characteristic
434	#88061	C₂³	1	1	yes	characteristic
435	#88061	C₂³	1	1	yes	characteristic
436	#88061	C₂³	1	1	yes	characteristic
437	#88060	C₂³	1	1	yes	characteristic
438	#88060	C₂³	1	1	yes	characteristic
439	#88058	C₂³	1	1	yes	characteristic
440	#88058	C₂³	1	1	yes	characteristic
441	#88058	C₂³	1	1	yes	characteristic
442	#88057	C₂³	1	1	yes	characteristic
443	#88057	C₂³	1	1	yes	characteristic
444	#88057	C₂³	1	1	yes	characteristic
445	#88057	C₂³	1	1	yes	characteristic
446	#88057	C₂³	1	1	yes	characteristic
447	#88057	C₂³	1	1	yes	characteristic
448	#88055	C₂³	1	1	yes	characteristic
449	#88055	C₂³	1	1	yes	characteristic
450	#88054	C₂³	1	1	yes	characteristic
451	#88054	C₂³	1	1	yes	characteristic
452	#88054	C₂³	1	1	yes	characteristic
453	#88054	C₂³	1	1	yes	characteristic
454	#88054	C₂³	1	1	yes	characteristic
455	#88054	C₂³	1	1	yes	characteristic
456	#88054	C₂³	1	1	yes	characteristic
457	#88054	C₂³	1	1	yes	characteristic
458	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
459	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
460	#88049	C₂³	1	1	yes	characteristic
461	#88049	C₂³	1	1	yes	characteristic
462	#88049	C₂³	1	1	yes	characteristic
463	#88049	C₂³	1	1	yes	characteristic
464	#88048	C₂³	1	1	yes	characteristic
465	#88048	C₂³	1	1	yes	characteristic
466	#88048	C₂³	1	1	yes	characteristic
467	#88048	C₂³	1	1	yes	characteristic
468	#88048	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	#88047	C₂³	1	1	yes	characteristic
473	#88047	C₂³	1	1	yes	characteristic
474	#88047	C₂³	1	1	yes	characteristic
475	#88047	C₂³	1	1	yes	characteristic
476	C₄⋊#1055	C₂³	1	1	yes	characteristic
477	#88043	C₂³	1	1	yes	characteristic
478	#62156	—	13	1	no	maximal, Sylow
479	C₂⁴×C₁₃	—	2	1	no	—
480	C₂³×D₁₃	—	2	1	no	—
481	C₁₃×#41	—	2	2	no	—
482	C₁₃×#41	—	4	1	no	—
483	C₂×Q₈×C₁₃	—	2	1	no	—
484	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
485	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
486	C₂×D₄×C₁₃	—	2	2	no	—
487	C₂×D₄×C₁₃	—	2	1	no	—
488	C₂×D₄×C₁₃	—	2	1	no	—
489	C₂×D₄×C₁₃	—	2	1	no	—
490	C₂×D₄×C₁₃	—	4	1	no	—
491	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄×C₁₃	—	2	1	no	—
495	C₂²×C₄×C₁₃	—	2	1	no	—
496	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₁₃	—	2	1	no	—
506	C₂×C₂²⋊D₁₃	—	8	2	no	—
507	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
508	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
509	C₂²×Dic₁₃	—	2	1	no	—
510	C₂²×Dic₁₃	—	2	1	no	—
511	C₂²×Dic₁₃	—	2	1	no	—
512	C₂²×Dic₁₃	—	2	1	no	—
513	C₂²×Dic₁₃	—	2	1	no	—
514	C₂²×Dic₁₃	—	2	1	no	—
515	C₂²×Dic₁₃	—	2	1	no	—
516	C₂²×Dic₁₃	—	2	1	no	—
517	Q₈×D₁₃	—	8	2	no	—
518	Q₈×D₁₃	—	8	2	no	—
519	#6129	—	8	2	no	—
520	#6129	—	8	2	no	—
521	D₄×D₁₃	—	2	2	no	—
522	D₄×D₁₃	—	4	1	no	—
523	C₂×D₅₂	—	2	1	no	—
524	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
525	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
526	C₂×C₄×D₁₃	—	2	1	no	—
527	C₂×C₄×D₁₃	—	2	1	no	—
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	—	8	2	no	—
535	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
536	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
537	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
538	C₂×Dic₂₆	—	2	1	no	—
539	C₂×Dic₂₆	—	2	1	no	—
540	C₂×Dic₂₆	—	2	1	no	—
541	C₂×Dic₂₆	—	2	1	no	—
542	C₂×Dic₂₆	—	2	1	no	—
543	C₂×Dic₂₆	—	2	1	no	—
544	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
545	C₁₃×Q₁₆	—	4	1	no	—
546	C₁₃×SD₁₆	—	2	2	no	—
547	C₁₃×SD₁₆	—	4	1	no	—
548	C₁₃×M₁₆	—	4	1	no	—
549	C₂×C₈×C₁₃	—	4	1	no	—
550	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
551	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
552	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
553	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₁₃×C₄⋊C₄	—	2	1	no	—
555	C₁₃×C₄⋊C₄	—	2	1	no	—
556	C₁₃×C₄⋊C₄	—	2	1	no	—
557	C₁₃×C₄⋊C₄	—	2	1	no	—
558	C₁₃×C₄⋊C₄	—	2	1	no	—
559	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
560	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
561	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
562	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
563	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
564	C₁₃×C₂²⋊C₄	—	2	1	no	—
565	C₁₃×C₂²⋊C₄	—	2	1	no	—
566	C₁₃×C₂²⋊C₄	—	2	1	no	—
567	C₁₃×C₂²⋊C₄	—	2	1	no	—
568	C₁₃×C₂²⋊C₄	—	2	1	no	—
569	C₁₃×C₂²⋊C₄	—	2	1	no	—
570	C₁₃×C₂²⋊C₄	—	2	1	no	—
571	C₁₃×C₂²⋊C₄	—	2	1	no	—
572	C₁₃×C₂²⋊C₄	—	2	1	no	—
573	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
574	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
575	C₄²×C₁₃	—	2	1	no	—
576	C₄²×C₁₃	—	2	1	no	—
577	C₄²×C₁₃	—	2	1	no	—
578	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
579	C₂²⋊Dic₁₃	—	2	1	no	—
580	C₂²⋊Dic₁₃	—	2	1	no	—
581	C₂²⋊Dic₁₃	—	2	1	no	—
582	C₂²⋊Dic₁₃	—	2	1	no	—
583	C₂²⋊Dic₁₃	—	2	1	no	—
584	C₂²⋊Dic₁₃	—	2	1	no	—
585	C₂²⋊Dic₁₃	—	2	1	no	—
586	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
587	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
588	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
589	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
590	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
591	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
592	#6106	—	4	1	no	—
593	#6106	—	4	1	no	—
594	#6104	—	2	2	no	—
595	#6104	—	4	1	no	—
596	#6103	—	2	1	no	—
597	#6103	—	2	1	no	—
598	#6103	—	2	1	no	—
599	#6103	—	2	1	no	—
600	#6103	—	2	1	no	—
601	#6103	—	2	1	no	—
602	#6103	—	2	1	no	—
603	#6103	—	2	1	no	—
604	#6103	—	2	1	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	C₂×D₄	1	1	yes	characteristic
613	#6103	C₂×D₄	1	1	yes	characteristic
614	C₄⋊Dic₁₃	—	2	1	no	—
615	C₄⋊Dic₁₃	—	2	1	no	—
616	C₄⋊Dic₁₃	—	2	1	no	—
617	C₄⋊Dic₁₃	—	2	1	no	—
618	C₄⋊Dic₁₃	—	2	1	no	—
619	C₄⋊Dic₁₃	—	2	1	no	—
620	C₄⋊Dic₁₃	—	2	1	no	—
621	C₄⋊Dic₁₃	—	2	1	no	—
622	C₄⋊Dic₁₃	—	2	1	no	—
623	C₄⋊Dic₁₃	—	2	1	no	—
624	C₄⋊Dic₁₃	—	2	1	no	—
625	C₄⋊Dic₁₃	—	2	1	no	—
626	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
627	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
628	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
629	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
630	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
631	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
632	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
633	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
634	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
635	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
636	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
637	#6101	—	2	1	no	—
638	#6101	—	2	1	no	—
639	#6101	—	2	1	no	—
640	#6101	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
654	#6101	C₂×D₄	1	1	yes	characteristic
655	#6101	C₂×D₄	1	1	yes	characteristic
656	#6101	C₂×D₄	1	1	yes	characteristic
657	C₄×Dic₁₃	—	2	1	no	—
658	C₄×Dic₁₃	—	2	1	no	—
659	C₄×Dic₁₃	—	2	1	no	—
660	C₄×Dic₁₃	—	2	1	no	—
661	C₄×Dic₁₃	—	2	1	no	—
662	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
663	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
664	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
665	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
666	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
667	#6099	—	4	1	no	—
668	C₂×#1055	—	4	1	no	—
669	C₂×#1055	C₂⁴	1	1	yes	characteristic
670	C₂×#1055	C₂⁴	1	1	yes	characteristic
671	C₂×#1055	C₂⁴	1	1	yes	characteristic
672	C₂×#1055	C₂⁴	1	1	yes	characteristic
673	D₁₀₄	—	4	1	no	—
674	C₈×D₁₃	—	4	1	no	—
675	C₈×D₁₃	—	4	1	no	—
676	#3552	—	13	1	no	—
677	#3513	—	13	1	no	—
678	#3388	—	13	1	no	—
679	#3384	—	13	1	no	—
680	#3373	—	13	1	no	—
681	#3371	—	13	1	no	—
682	#3350	—	13	1	no	—
683	#3345	—	13	1	no	—
684	#3345	—	13	1	no	—
685	#3344	—	13	1	no	—
686	#3337	—	13	1	no	—
687	#3335	—	13	1	no	—
688	#3318	—	13	1	no	—
689	#3314	—	13	1	no	—
690	#3311	D₁₃	1	1	yes	characteristic, complemented
691	#3306	—	13	1	no	—
692	#3297	—	13	1	no	—
693	#3295	—	13	1	no	—
694	#3263	—	13	1	no	—
695	#3257	—	13	1	no	—
696	#3250	—	13	1	no	—
697	#3244	—	13	1	no	—
698	#3241	—	13	1	no	—
699	#3239	—	13	1	no	—
700	#3125	—	13	1	no	—
701	#3118	—	13	1	no	—
702	#3114	—	13	1	no	—
703	#3084	—	13	1	no	—
704	#3081	—	13	1	no	—
705	C₂×#476	—	13	1	no	—
706	#2992	—	13	1	no	—
707	C₂³×C₁₃	—	2	1	no	—
708	C₂³×C₁₃	—	2	1	no	—
709	C₂³×C₁₃	—	4	2	no	—
710	C₂³×C₁₃	—	8	1	no	—
711	C₂³×C₁₃	—	8	1	no	—
712	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
713	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
714	C₂²×D₁₃	—	2	1	no	—
715	C₂²×D₁₃	—	2	1	no	—
716	C₂²×D₁₃	—	4	2	no	—
717	C₂²×D₁₃	—	4	2	no	—
718	C₂²×D₁₃	—	8	1	no	—
719	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
720	Q₈×C₁₃	—	2	1	no	—
721	Q₈×C₁₃	—	2	1	no	—
722	Q₈×C₁₃	—	2	1	no	—
723	Q₈×C₁₃	—	2	1	no	—
724	Q₈×C₁₃	—	4	2	no	—
725	D₄×C₁₃	—	2	1	no	—
726	D₄×C₁₃	—	2	1	no	—
727	D₄×C₁₃	—	2	1	no	—
728	D₄×C₁₃	—	4	1	no	—
729	D₄×C₁₃	—	4	2	no	—
730	D₄×C₁₃	—	4	2	no	—
731	D₄×C₁₃	—	8	1	no	—
732	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
733	C₂×C₄×C₁₃	—	2	1	no	—
734	C₂×C₄×C₁₃	—	2	1	no	—
735	C₂×C₄×C₁₃	—	2	1	no	—
736	C₂×C₄×C₁₃	—	2	1	no	—
737	C₂×C₄×C₁₃	—	2	1	no	—
738	C₂×C₄×C₁₃	—	2	1	no	—
739	C₂×C₄×C₁₃	—	2	1	no	—
740	C₂×C₄×C₁₃	—	2	1	no	—
741	C₂×C₄×C₁₃	—	2	1	no	—
742	C₂×C₄×C₁₃	—	2	1	no	—
743	C₂×C₄×C₁₃	—	4	2	no	—
744	C₂×C₄×C₁₃	—	8	1	no	—
745	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
746	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
747	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
748	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
749	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
750	C₂²⋊D₁₃	—	2	2	no	—
751	C₂²⋊D₁₃	—	2	2	no	—
752	C₂²⋊D₁₃	—	4	2	no	—
753	C₂²⋊D₁₃	—	4	2	no	—
754	C₂²⋊D₁₃	—	8	1	no	—
755	C₂²⋊D₁₃	—	8	1	no	—
756	C₂²⋊D₁₃	—	8	1	no	—
757	C₂²⋊D₁₃	—	8	1	no	—
758	C₂²⋊D₁₃	—	8	1	no	—
759	C₂²⋊D₁₃	—	8	1	no	—
760	C₂×Dic₁₃	—	2	1	no	—
761	C₂×Dic₁₃	—	2	1	no	—
762	C₂×Dic₁₃	—	2	1	no	—
763	C₂×Dic₁₃	—	2	1	no	—
764	C₂×Dic₁₃	—	2	1	no	—
765	C₂×Dic₁₃	—	2	1	no	—
766	C₂×Dic₁₃	—	8	1	no	—
767	C₂×Dic₁₃	—	8	1	no	—
768	C₂×Dic₁₃	—	8	1	no	—
769	C₂×Dic₁₃	—	8	1	no	—
770	C₂×Dic₁₃	—	8	1	no	—
771	C₂×Dic₁₃	—	8	1	no	—
772	C₂×Dic₁₃	—	8	1	no	—
773	C₂×Dic₁₃	—	8	1	no	—
774	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
775	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
776	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
777	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
781	D₅₂	—	2	1	no	—
782	D₅₂	—	2	1	no	—
783	D₅₂	—	2	1	no	—
784	D₅₂	—	2	1	no	—
785	D₅₂	—	4	2	no	—
786	C₄×D₁₃	—	2	2	no	—
787	C₄×D₁₃	—	2	1	no	—
788	C₄×D₁₃	—	2	1	no	—
789	C₄×D₁₃	—	4	1	no	—
790	C₄×D₁₃	—	4	2	no	—
791	C₄×D₁₃	—	4	2	no	—
792	C₄×D₁₃	—	8	1	no	—
793	C₄×D₁₃	—	8	1	no	—
794	C₄×D₁₃	—	8	1	no	—
795	C₄×D₁₃	—	8	1	no	—
796	C₄×D₁₃	—	8	1	no	—
797	C₄×D₁₃	—	8	1	no	—
798	Dic₂₆	—	4	1	no	—
799	Dic₂₆	—	4	2	no	—
800	Dic₂₆	—	8	1	no	—
801	Dic₂₆	—	8	1	no	—
802	Dic₂₆	—	8	1	no	—
803	Dic₂₆	—	8	1	no	—
804	Dic₂₆	—	8	1	no	—
805	C₈×C₁₃	—	2	1	no	—
806	C₈×C₁₃	—	2	1	no	—
807	C₈×C₁₃	—	2	1	no	—
808	C₈×C₁₃	—	2	1	no	—
809	#1055	—	2	1	no	—
810	#1055	—	2	1	no	—
811	#1055	—	2	1	no	—
812	#1055	—	2	1	no	—
813	#563	—	26	1	no	—
814	#563	—	26	1	no	—
815	#559	—	13	1	no	—
816	#557	—	13	1	no	—
817	#556	C₂×D₁₃	1	1	yes	characteristic, complemented
818	#554	—	13	1	no	—
819	#554	—	13	1	no	—
820	#554	—	13	1	no	—
821	#553	—	13	1	no	—
822	#553	—	13	1	no	—
823	#553	—	13	1	no	—
824	#553	—	26	1	no	—
825	#552	—	13	1	no	—
826	#551	—	26	1	no	—
827	#551	—	26	1	no	—
828	D₄×Q₈	—	13	1	no	—
829	D₄×Q₈	—	26	1	no	—
830	#548	—	26	1	no	—
831	#547	—	13	1	no	—
832	#547	—	13	1	no	—
833	#546	—	13	1	no	—
834	#546	—	26	1	no	—
835	#546	C₂×D₁₃	1	1	yes	characteristic
836	D₄²	—	13	1	no	—
837	#544	—	13	1	no	—
838	#544	—	13	1	no	—
839	#542	—	13	1	no	—
840	#542	—	13	1	no	—
841	#542	—	13	1	no	—
842	#541	—	26	1	no	—
843	#540	—	13	1	no	—
844	#539	—	26	1	no	—
845	#539	—	26	1	no	—
846	#539	—	26	1	no	—
847	#538	—	26	1	no	—
848	#536	—	26	1	no	—
849	C₂×C₄⋊Q₈	—	13	1	no	—
850	#529	—	13	1	no	—
851	#529	—	13	1	no	—
852	#529	—	13	1	no	—
853	#525	—	26	1	no	—
854	C₂×#123	—	26	1	no	—
855	#520	—	13	1	no	—
856	#518	—	13	1	no	—
857	C₂×C₄×D₄	—	13	1	no	—
858	#501	—	13	1	no	—
859	#501	—	13	1	no	—
860	#501	—	13	1	no	—
861	#501	—	13	1	no	—
862	#499	—	13	1	no	—
863	#498	—	13	1	no	—
864	#490	—	13	1	no	—
865	#489	—	13	1	no	—
866	#489	—	13	1	no	—
867	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
868	#488	—	13	1	no	—
869	#486	—	13	1	no	—
870	#485	—	13	1	no	—
871	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
872	#484	—	13	1	no	—
873	#484	—	13	1	no	—
874	#483	—	13	1	no	—
875	#483	—	13	1	no	—
876	#483	—	13	1	no	—
877	#482	—	13	1	no	—
878	#482	—	13	1	no	—
879	#482	—	13	1	no	—
880	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
881	#481	—	13	1	no	—
882	#481	—	13	1	no	—
883	#481	—	13	1	no	—
884	#481	—	13	1	no	—
885	#481	—	13	1	no	—
886	#480	—	13	1	no	—
887	#480	—	13	1	no	—
888	#479	—	13	1	no	—
889	#479	—	13	1	no	—
890	#479	—	13	1	no	—
891	#479	—	13	1	no	—
892	#478	—	13	1	no	—
893	#478	—	13	1	no	—
894	#478	—	13	1	no	—
895	#478	—	13	1	no	—
896	#478	—	13	1	no	—
897	#478	—	13	1	no	—
898	#478	—	13	1	no	—
899	#478	—	13	1	no	—
900	#476	—	13	1	no	—
901	#476	—	13	1	no	—
902	#476	—	13	1	no	—
903	#476	—	13	1	no	—
904	#476	—	13	1	no	—
905	#476	—	13	1	no	—
906	#476	—	13	1	no	—
907	#476	—	13	1	no	—
908	#476	—	13	1	no	—
909	#476	—	13	1	no	—
910	#476	C₂×D₁₃	1	1	yes	characteristic
911	#475	—	13	1	no	—
912	#475	—	13	1	no	—
913	#475	—	13	1	no	—
914	#475	—	13	1	no	—
915	#474	—	13	1	no	—
916	#474	—	13	1	no	—
917	#474	—	13	1	no	—
918	#470	C₂×D₁₃	1	1	yes	characteristic, complemented
919	#469	—	13	1	no	—
920	#469	—	13	1	no	—
921	#468	—	13	1	no	—
922	#467	—	13	1	no	—
923	#466	—	13	1	no	—
924	#466	—	13	1	no	—
925	#465	—	13	1	no	—
926	#465	—	13	1	no	—
927	#465	—	13	1	no	—
928	#465	—	13	1	no	—
929	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
930	#464	—	13	1	no	—
931	#464	—	13	1	no	—
932	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
933	#463	—	13	1	no	—
934	#463	—	13	1	no	—
935	#463	—	13	1	no	—
936	#463	—	13	1	no	—
937	#463	—	13	1	no	—
938	#460	—	13	1	no	—
939	#459	—	13	1	no	—
940	#452	C₂×D₁₃	1	1	yes	characteristic
941	#450	—	13	1	no	—
942	#450	C₂×D₁₃	1	1	yes	characteristic
943	#449	—	13	1	no	—
944	#447	—	13	1	no	—
945	#447	—	13	1	no	—
946	#446	—	13	1	no	—
947	#446	—	13	1	no	—
948	#442	—	13	1	no	—
949	#442	—	13	1	no	—
950	#442	—	13	1	no	—
951	#442	—	13	1	no	—
952	#441	—	13	1	no	—
953	#440	—	13	1	no	—
954	#440	—	13	1	no	—
955	#440	C₂×D₁₃	1	1	yes	characteristic
956	C₄×SD₁₆	—	13	1	no	—
957	C₄×SD₁₆	—	13	1	no	—
958	C₄×SD₁₆	—	13	1	no	—
959	C₄×D₈	—	13	1	no	—
960	#435	—	13	1	no	—
961	#435	—	13	1	no	—
962	#435	—	13	1	no	—
963	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
964	C₈×D₄	—	13	1	no	—
965	C₈×D₄	—	13	1	no	—
966	#433	—	13	1	no	—
967	#433	—	13	1	no	—
968	#432	—	13	1	no	—
969	#428	—	13	1	no	—
970	#428	—	13	1	no	—
971	#427	—	13	1	no	—
972	C₂×#106	—	13	1	no	—
973	C₂×#106	—	13	1	no	—
974	C₂×#106	—	13	1	no	—
975	#424	—	13	1	no	—
976	#424	—	13	1	no	—
977	C₂×C₄⋊C₈	—	13	1	no	—
978	#418	C₂×D₁₃	1	1	yes	characteristic
979	#417	—	13	1	no	—
980	#416	C₂×D₁₃	1	1	yes	characteristic
981	C₂×#102	—	13	1	no	—
982	C₂×#102	—	13	1	no	—
983	C₂×#102	—	13	1	no	—
984	C₂²×C₁₃	—	2	1	no	—
985	C₂²×C₁₃	—	2	1	no	—
986	C₂²×C₁₃	—	2	2	no	—
987	C₂²×C₁₃	—	2	1	no	—
988	C₂²×C₁₃	—	2	1	no	—
989	C₂²×C₁₃	—	2	1	no	—
990	C₂²×C₁₃	—	2	1	no	—
991	C₂²×C₁₃	—	4	1	no	—
992	C₂²×C₁₃	—	4	1	no	—
993	C₂²×C₁₃	—	4	1	no	—
994	C₂²×C₁₃	—	4	1	no	—
995	C₂²×C₁₃	—	4	1	no	—
996	C₂²×C₁₃	—	16	2	no	—
997	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
998	C₂×D₁₃	—	2	1	no	—
999	C₂×D₁₃	—	2	1	no	—
1000	C₂×D₁₃	—	4	1	no	—
1001	C₂×D₁₃	—	4	1	no	—
1002	C₂×D₁₃	—	4	1	no	—
1003	C₂×D₁₃	—	4	1	no	—
1004	C₂×D₁₃	—	4	1	no	—
1005	C₂×D₁₃	—	4	1	no	—
1006	C₂×D₁₃	—	8	4	no	—
1007	C₂×D₁₃	#577	1	2	yes	—
1008	C₄×C₁₃	—	2	1	no	—
1009	C₄×C₁₃	—	2	1	no	—
1010	C₄×C₁₃	—	2	1	no	—
1011	C₄×C₁₃	—	2	1	no	—
1012	C₄×C₁₃	—	4	1	no	—
1013	C₄×C₁₃	—	4	1	no	—
1014	C₄×C₁₃	—	4	1	no	—
1015	C₄×C₁₃	—	4	1	no	—
1016	C₄×C₁₃	—	4	1	no	—
1017	C₄×C₁₃	—	4	1	no	—
1018	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1019	C₄×C₁₃	#585	1	1	yes	characteristic
1020	Dic₁₃	—	2	1	no	—
1021	Dic₁₃	—	2	1	no	—
1022	Dic₁₃	—	2	1	no	—
1023	Dic₁₃	—	2	1	no	—
1024	Dic₁₃	—	2	1	no	—
1025	Dic₁₃	—	2	1	no	—
1026	Dic₁₃	—	2	1	no	—
1027	Dic₁₃	—	4	1	no	—
1028	Dic₁₃	—	4	1	no	—
1029	Dic₁₃	—	4	1	no	—
1030	Dic₁₃	—	4	1	no	—
1031	Dic₁₃	—	4	1	no	—
1032	Dic₁₃	—	4	1	no	—
1033	C₂×#41	—	26	1	no	—
1034	C₂×#41	—	26	1	no	—
1035	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1036	C₂²×Q₈	—	26	1	no	—
1037	C₂²×Q₈	—	26	1	no	—
1038	C₂²×D₄	—	13	1	no	—
1039	C₂²×D₄	—	26	1	no	—
1040	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1041	C₂³×C₄	—	26	1	no	—
1042	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1043	C₂×SD₁₆	—	13	1	no	—
1044	C₂×SD₁₆	—	13	1	no	—
1045	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1046	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1047	C₂×D₈	—	13	1	no	—
1048	C₂×D₈	—	13	1	no	—
1049	C₂×D₈	—	13	1	no	—
1050	C₂×M₁₆	—	13	1	no	—
1051	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1052	C₂²×C₈	—	13	1	no	—
1053	C₂²×C₈	—	13	1	no	—
1054	C₂²×C₈	—	13	1	no	—
1055	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1056	C₄⋊Q₈	—	13	1	no	—
1057	C₄⋊Q₈	—	13	1	no	—
1058	C₄⋊Q₈	—	13	1	no	—
1059	C₄⋊Q₈	—	13	1	no	—
1060	C₄⋊Q₈	—	13	1	no	—
1061	C₄⋊Q₈	—	13	1	no	—
1062	C₄⋊Q₈	—	26	1	no	—
1063	C₄⋊Q₈	—	26	1	no	—
1064	C₄⋊Q₈	—	26	1	no	—
1065	C₄⋊Q₈	—	26	1	no	—
1066	C₄⋊Q₈	—	26	1	no	—
1067	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1068	#127	—	13	1	no	—
1069	#126	—	2	1	no	—
1070	#126	—	2	1	no	—
1071	#126	—	13	1	no	—
1072	#126	—	13	1	no	—
1073	#126	—	26	1	no	—
1074	#126	—	26	1	no	—
1075	#126	—	26	1	no	—
1076	#126	—	26	1	no	—
1077	#126	—	26	1	no	—
1078	#126	—	26	1	no	—
1079	#126	—	26	1	no	—
1080	#126	—	26	1	no	—
1081	#126	—	26	1	no	—
1082	#125	—	13	1	no	—
1083	#125	—	13	1	no	—
1084	#125	—	13	1	no	—
1085	#125	—	13	1	no	—
1086	#125	—	13	1	no	—
1087	#125	—	13	1	no	—
1088	#125	—	26	1	no	—
1089	#125	—	26	1	no	—
1090	#125	—	26	1	no	—
1091	#125	—	26	1	no	—
1092	#125	—	26	1	no	—
1093	#125	—	26	1	no	—
1094	#125	—	26	1	no	—
1095	#124	—	2	1	no	—
1096	#124	—	13	1	no	—
1097	#124	—	13	1	no	—
1098	#124	—	13	1	no	—
1099	#124	—	26	1	no	—
1100	#124	—	26	1	no	—
1101	#124	—	26	1	no	—
1102	#124	—	26	1	no	—
1103	#124	C₂²×D₁₃	1	1	yes	characteristic
1104	#123	—	2	1	no	—
1105	#123	—	13	1	no	—
1106	#123	—	13	1	no	—
1107	#123	—	26	1	no	—
1108	#123	—	26	1	no	—
1109	#123	—	26	1	no	—
1110	#123	—	26	1	no	—
1111	#123	—	26	1	no	—
1112	#123	—	26	1	no	—
1113	#123	—	26	1	no	—
1114	#123	—	26	1	no	—
1115	#123	—	26	1	no	—
1116	#123	—	26	1	no	—
1117	#123	—	26	1	no	—
1118	#123	—	26	1	no	—
1119	#123	—	26	1	no	—
1120	#123	—	26	1	no	—
1121	#123	—	26	1	no	—
1122	#123	—	26	1	no	—
1123	#123	—	26	1	no	—
1124	#123	—	26	1	no	—
1125	C₂²⋊Q₈	—	13	1	no	—
1126	C₂²⋊Q₈	—	13	1	no	—
1127	C₂²⋊Q₈	—	13	1	no	—
1128	C₂²⋊Q₈	—	26	1	no	—
1129	C₂²⋊Q₈	—	26	1	no	—
1130	C₂²⋊Q₈	—	26	1	no	—
1131	C₂²⋊Q₈	—	26	1	no	—
1132	C₂²⋊Q₈	—	26	1	no	—
1133	C₂²⋊Q₈	—	26	1	no	—
1134	C₂²⋊Q₈	—	26	1	no	—
1135	C₂²⋊Q₈	—	26	1	no	—
1136	C₂²⋊Q₈	—	26	1	no	—
1137	C₂²⋊Q₈	—	26	1	no	—
1138	C₂²⋊Q₈	—	26	1	no	—
1139	C₂²⋊Q₈	—	26	1	no	—
1140	C₂²⋊Q₈	—	26	1	no	—
1141	C₂²⋊Q₈	—	26	1	no	—
1142	C₂²⋊Q₈	—	26	1	no	—
1143	C₂²⋊Q₈	—	26	1	no	—
1144	C₂²⋊Q₈	—	26	1	no	—
1145	C₂²⋊Q₈	—	26	1	no	—
1146	C₂²⋊Q₈	—	26	1	no	—
1147	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1148	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1150	#121	—	2	1	no	—
1151	#121	—	13	1	no	—
1152	#121	—	13	1	no	—
1153	#121	—	13	1	no	—
1154	#121	—	13	1	no	—
1155	#121	—	13	1	no	—
1156	#121	—	13	1	no	—
1157	#121	—	13	1	no	—
1158	#121	—	26	1	no	—
1159	#121	—	26	1	no	—
1160	#121	—	26	1	no	—
1161	#121	—	26	1	no	—
1162	#121	—	26	1	no	—
1163	#121	—	26	1	no	—
1164	#121	—	26	1	no	—
1165	#121	C₂²×D₁₃	1	1	yes	characteristic
1166	#120	—	2	1	no	—
1167	#120	—	26	1	no	—
1168	#120	—	26	1	no	—
1169	#120	—	26	1	no	—
1170	C₄×Q₈	—	2	1	no	—
1171	C₄×Q₈	—	13	1	no	—
1172	C₄×Q₈	—	13	1	no	—
1173	C₄×Q₈	—	13	1	no	—
1174	C₄×Q₈	—	13	1	no	—
1175	C₄×Q₈	—	13	1	no	—
1176	C₄×Q₈	—	26	1	no	—
1177	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1178	C₄×D₄	—	13	1	no	—
1179	C₄×D₄	—	13	1	no	—
1180	C₄×D₄	—	13	1	no	—
1181	C₄×D₄	—	13	1	no	—
1182	C₄×D₄	—	13	1	no	—
1183	C₄×D₄	—	13	1	no	—
1184	C₄×D₄	—	13	1	no	—
1185	C₄×D₄	—	13	1	no	—
1186	C₄×D₄	—	13	1	no	—
1187	C₄×D₄	—	13	1	no	—
1188	C₄×D₄	—	13	1	no	—
1189	C₄×D₄	—	13	1	no	—
1190	C₄×D₄	—	26	1	no	—
1191	C₄×D₄	—	26	1	no	—
1192	C₄×D₄	—	26	1	no	—
1193	C₄×D₄	—	26	1	no	—
1194	C₄×D₄	—	26	1	no	—
1195	C₄×D₄	—	26	1	no	—
1196	C₄×D₄	—	26	1	no	—
1197	C₄×D₄	—	26	1	no	—
1198	C₄×D₄	—	26	1	no	—
1199	C₄×D₄	—	26	1	no	—
1200	C₄×D₄	—	26	1	no	—
1201	C₄×D₄	—	26	1	no	—
1202	C₄×D₄	—	26	1	no	—
1203	C₄×D₄	—	26	1	no	—
1204	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1205	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1206	#117	—	13	1	no	—
1207	#117	—	13	1	no	—
1208	#117	—	13	1	no	—
1209	#117	—	26	1	no	—
1210	#117	—	26	1	no	—
1211	#117	—	26	1	no	—
1212	#117	—	26	1	no	—
1213	#117	C₂²×D₁₃	1	1	yes	characteristic
1214	#117	C₂²×D₁₃	1	1	yes	characteristic
1215	C₂×C₄⋊C₄	—	13	1	no	—
1216	C₂×C₄⋊C₄	—	13	1	no	—
1217	C₂×C₄⋊C₄	—	13	1	no	—
1218	C₂×C₄⋊C₄	—	13	1	no	—
1219	C₂×C₄⋊C₄	—	13	1	no	—
1220	C₂×C₄⋊C₄	—	13	1	no	—
1221	C₂×C₄⋊C₄	—	26	1	no	—
1222	C₂×C₄⋊C₄	—	26	1	no	—
1223	C₂×C₄⋊C₄	—	26	1	no	—
1224	C₂×C₂²⋊C₄	—	2	1	no	—
1225	C₂×C₂²⋊C₄	—	26	1	no	—
1226	C₂×C₂²⋊C₄	—	26	1	no	—
1227	C₂×C₂²⋊C₄	—	26	1	no	—
1228	C₂×C₂²⋊C₄	—	26	1	no	—
1229	C₂×C₄²	—	13	1	no	—
1230	#107	—	13	1	no	—
1231	#107	—	13	1	no	—
1232	#107	—	13	1	no	—
1233	#107	—	13	1	no	—
1234	#107	—	13	1	no	—
1235	#107	—	13	1	no	—
1236	#107	—	13	1	no	—
1237	#107	C₂²×D₁₃	1	1	yes	characteristic
1238	#106	—	13	1	no	—
1239	#106	—	13	1	no	—
1240	#106	—	13	1	no	—
1241	#106	—	13	1	no	—
1242	#106	—	13	1	no	—
1243	#106	—	13	1	no	—
1244	#106	—	13	1	no	—
1245	#106	—	13	1	no	—
1246	#106	—	13	1	no	—
1247	#106	—	13	1	no	—
1248	#106	—	13	1	no	—
1249	#106	—	13	1	no	—
1250	#106	—	13	1	no	—
1251	#106	—	13	1	no	—
1252	#106	C₂²×D₁₃	1	1	yes	characteristic
1253	#106	C₂²×D₁₃	1	1	yes	characteristic
1254	C₄⋊C₈	—	13	1	no	—
1255	C₄⋊C₈	—	13	1	no	—
1256	C₄⋊C₈	—	13	1	no	—
1257	C₄⋊C₈	—	13	1	no	—
1258	C₄⋊C₈	—	13	1	no	—
1259	C₄⋊C₈	—	13	1	no	—
1260	C₄⋊C₈	—	13	1	no	—
1261	C₄⋊C₈	—	13	1	no	—
1262	C₄⋊C₈	—	13	1	no	—
1263	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1264	#103	—	13	1	no	—
1265	#103	—	13	1	no	—
1266	#103	—	13	1	no	—
1267	#103	—	13	1	no	—
1268	#103	—	13	1	no	—
1269	#103	—	13	1	no	—
1270	#103	C₂²×D₁₃	1	1	yes	characteristic
1271	#103	C₂²×D₁₃	1	1	yes	characteristic
1272	#103	C₂²×D₁₃	1	1	yes	characteristic
1273	#103	C₂²×D₁₃	1	1	yes	characteristic
1274	#102	—	13	1	no	—
1275	#102	—	13	1	no	—
1276	#102	—	13	1	no	—
1277	#102	—	13	1	no	—
1278	#102	—	13	1	no	—
1279	#102	—	13	1	no	—
1280	#102	—	13	1	no	—
1281	#102	—	13	1	no	—
1282	#102	—	13	1	no	—
1283	#102	—	13	1	no	—
1284	#102	—	13	1	no	—
1285	#102	—	13	1	no	—
1286	#102	—	13	1	no	—
1287	#102	—	13	1	no	—
1288	#102	—	13	1	no	—
1289	#102	—	13	1	no	—
1290	#102	C₂²×D₁₃	1	1	yes	characteristic
1291	#102	C₂²×D₁₃	1	1	yes	characteristic
1292	#102	C₂²×D₁₃	1	1	yes	characteristic
1293	#102	C₂²×D₁₃	1	1	yes	characteristic
1294	#102	C₂²×D₁₃	1	1	yes	characteristic
1295	#102	C₂²×D₁₃	1	1	yes	characteristic
1296	C₂²⋊C₈	—	13	1	no	—
1297	C₂²⋊C₈	—	13	1	no	—
1298	C₂²⋊C₈	—	13	1	no	—
1299	C₂²⋊C₈	—	13	1	no	—
1300	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1301	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1302	#97	—	13	1	no	—
1303	#97	—	13	1	no	—
1304	#97	—	13	1	no	—
1305	#97	C₂²×D₁₃	1	1	yes	characteristic
1306	C₄×C₈	—	13	1	no	—
1307	C₄×C₈	—	13	1	no	—
1308	C₂×C₁₃	—	4	2	no	—
1309	C₂×C₁₃	—	4	1	no	—
1310	C₂×C₁₃	—	4	1	no	—
1311	C₂×C₁₃	—	8	1	no	—
1312	C₂×C₁₃	#3489	1	1	yes	characteristic
1313	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1314	C₂×C₁₃	#3585	1	1	yes	characteristic
1315	D₁₃	—	2	2	no	—
1316	D₁₃	—	8	1	no	—
1317	D₁₃	—	8	1	no	—
1318	C₂⁴	—	2	1	no	—
1319	C₂⁴	—	26	1	no	—
1320	#41	—	2	2	no	—
1321	#41	—	4	1	no	—
1322	#41	—	104	2	no	—
1323	#41	—	104	2	no	—
1324	C₂×Q₈	—	2	1	no	—
1325	C₂×Q₈	—	13	1	no	—
1326	C₂×Q₈	—	26	1	no	—
1327	C₂×Q₈	—	26	1	no	—
1328	C₂×Q₈	—	26	1	no	—
1329	C₂×Q₈	—	26	1	no	—
1330	C₂×Q₈	—	26	1	no	—
1331	C₂×Q₈	—	26	1	no	—
1332	C₂×Q₈	—	104	2	no	—
1333	C₂×Q₈	—	104	2	no	—
1334	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1335	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1336	C₂×D₄	—	2	2	no	—
1337	C₂×D₄	—	2	1	no	—
1338	C₂×D₄	—	2	1	no	—
1339	C₂×D₄	—	2	1	no	—
1340	C₂×D₄	—	4	1	no	—
1341	C₂×D₄	—	13	1	no	—
1342	C₂×D₄	—	13	1	no	—
1343	C₂×D₄	—	13	1	no	—
1344	C₂×D₄	—	13	1	no	—
1345	C₂×D₄	—	26	1	no	—
1346	C₂×D₄	—	26	1	no	—
1347	C₂×D₄	—	26	1	no	—
1348	C₂×D₄	—	26	1	no	—
1349	C₂×D₄	—	26	2	no	—
1350	C₂×D₄	—	26	1	no	—
1351	C₂×D₄	—	26	1	no	—
1352	C₂×D₄	—	26	1	no	—
1353	C₂×D₄	—	26	1	no	—
1354	C₂×D₄	—	26	1	no	—
1355	C₂×D₄	—	52	1	no	—
1356	C₂×D₄	—	104	2	no	—
1357	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1358	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1359	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1360	C₂²×C₄	—	2	1	no	—
1361	C₂²×C₄	—	2	1	no	—
1362	C₂²×C₄	—	13	1	no	—
1363	C₂²×C₄	—	13	1	no	—
1364	C₂²×C₄	—	13	1	no	—
1365	C₂²×C₄	—	26	1	no	—
1366	C₂²×C₄	—	26	1	no	—
1367	C₂²×C₄	—	26	1	no	—
1368	C₂²×C₄	—	26	1	no	—
1369	C₂²×C₄	—	26	1	no	—
1370	C₂²×C₄	—	26	1	no	—
1371	C₂²×C₄	—	26	1	no	—
1372	C₂²×C₄	—	26	1	no	—
1373	C₂²×C₄	—	26	1	no	—
1374	C₂²×C₄	—	26	1	no	—
1375	C₂²×C₄	—	26	1	no	—
1376	C₂²×C₄	—	26	1	no	—
1377	C₂²×C₄	—	26	1	no	—
1378	C₂²×C₄	—	26	1	no	—
1379	C₂²×C₄	—	26	1	no	—
1380	C₂²×C₄	—	26	1	no	—
1381	C₂²×C₄	—	104	2	no	—
1382	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1383	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1384	Q₁₆	—	4	1	no	—
1385	SD₁₆	—	2	2	no	—
1386	SD₁₆	—	4	1	no	—
1387	SD₁₆	—	52	1	no	—
1388	SD₁₆	—	52	1	no	—
1389	D₈	—	26	2	no	—
1390	D₈	—	52	1	no	—
1391	D₈	—	52	1	no	—
1392	M₁₆	—	4	1	no	—
1393	M₁₆	—	52	1	no	—
1394	C₂×C₈	—	4	1	no	—
1395	C₂×C₈	—	13	1	no	—
1396	C₂×C₈	—	13	1	no	—
1397	C₂×C₈	—	13	1	no	—
1398	C₂×C₈	—	13	1	no	—
1399	C₂×C₈	—	52	1	no	—
1400	C₂×C₈	—	52	1	no	—
1401	C₂×C₈	—	52	1	no	—
1402	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1403	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1404	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1405	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	13	1	no	—
1412	C₄⋊C₄	—	13	1	no	—
1413	C₄⋊C₄	—	13	1	no	—
1414	C₄⋊C₄	—	13	1	no	—
1415	C₄⋊C₄	—	13	1	no	—
1416	C₄⋊C₄	—	13	1	no	—
1417	C₄⋊C₄	—	13	1	no	—
1418	C₄⋊C₄	—	13	1	no	—
1419	C₄⋊C₄	—	13	1	no	—
1420	C₄⋊C₄	—	13	1	no	—
1421	C₄⋊C₄	—	13	1	no	—
1422	C₄⋊C₄	—	13	1	no	—
1423	C₄⋊C₄	—	13	1	no	—
1424	C₄⋊C₄	—	13	1	no	—
1425	C₄⋊C₄	—	13	1	no	—
1426	C₄⋊C₄	—	26	1	no	—
1427	C₄⋊C₄	—	26	1	no	—
1428	C₄⋊C₄	—	26	1	no	—
1429	C₄⋊C₄	—	26	1	no	—
1430	C₄⋊C₄	—	26	1	no	—
1431	C₄⋊C₄	—	26	1	no	—
1432	C₄⋊C₄	—	26	1	no	—
1433	C₄⋊C₄	—	26	1	no	—
1434	C₄⋊C₄	—	26	1	no	—
1435	C₄⋊C₄	—	26	1	no	—
1436	C₄⋊C₄	—	26	1	no	—
1437	C₄⋊C₄	—	26	1	no	—
1438	C₄⋊C₄	—	26	1	no	—
1439	C₄⋊C₄	—	26	1	no	—
1440	C₄⋊C₄	—	26	1	no	—
1441	C₄⋊C₄	—	26	1	no	—
1442	C₄⋊C₄	—	26	1	no	—
1443	C₄⋊C₄	—	26	1	no	—
1444	C₄⋊C₄	—	26	1	no	—
1445	C₄⋊C₄	—	26	1	no	—
1446	C₄⋊C₄	—	26	1	no	—
1447	C₄⋊C₄	—	26	1	no	—
1448	C₄⋊C₄	—	26	1	no	—
1449	C₄⋊C₄	—	26	1	no	—
1450	C₄⋊C₄	—	26	1	no	—
1451	C₄⋊C₄	—	26	1	no	—
1452	C₄⋊C₄	—	26	1	no	—
1453	C₄⋊C₄	—	26	1	no	—
1454	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1455	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1456	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1457	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1458	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	13	1	no	—
1469	C₂²⋊C₄	—	13	1	no	—
1470	C₂²⋊C₄	—	13	1	no	—
1471	C₂²⋊C₄	—	13	1	no	—
1472	C₂²⋊C₄	—	13	1	no	—
1473	C₂²⋊C₄	—	13	1	no	—
1474	C₂²⋊C₄	—	13	1	no	—
1475	C₂²⋊C₄	—	13	1	no	—
1476	C₂²⋊C₄	—	26	1	no	—
1477	C₂²⋊C₄	—	26	1	no	—
1478	C₂²⋊C₄	—	26	1	no	—
1479	C₂²⋊C₄	—	26	1	no	—
1480	C₂²⋊C₄	—	26	1	no	—
1481	C₂²⋊C₄	—	26	1	no	—
1482	C₂²⋊C₄	—	26	1	no	—
1483	C₂²⋊C₄	—	26	1	no	—
1484	C₂²⋊C₄	—	26	1	no	—
1485	C₂²⋊C₄	—	26	1	no	—
1486	C₂²⋊C₄	—	26	1	no	—
1487	C₂²⋊C₄	—	26	1	no	—
1488	C₂²⋊C₄	—	26	1	no	—
1489	C₂²⋊C₄	—	26	1	no	—
1490	C₂²⋊C₄	—	26	1	no	—
1491	C₂²⋊C₄	—	26	1	no	—
1492	C₂²⋊C₄	—	26	1	no	—
1493	C₂²⋊C₄	—	26	1	no	—
1494	C₂²⋊C₄	—	26	1	no	—
1495	C₂²⋊C₄	—	26	1	no	—
1496	C₂²⋊C₄	—	26	1	no	—
1497	C₂²⋊C₄	—	26	1	no	—
1498	C₂²⋊C₄	—	26	1	no	—
1499	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1500	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1501	C₄²	—	2	1	no	—
1502	C₄²	—	2	1	no	—
1503	C₄²	—	2	1	no	—
1504	C₄²	—	13	1	no	—
1505	C₄²	—	13	1	no	—
1506	C₄²	—	13	1	no	—
1507	C₄²	—	13	1	no	—
1508	C₄²	—	13	1	no	—
1509	C₄²	—	26	1	no	—
1510	C₄²	—	26	1	no	—
1511	C₄²	—	26	1	no	—
1512	C₄²	—	26	1	no	—
1513	C₄²	—	26	1	no	—
1514	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1515	C₁₃	#62156	1	1	yes	characteristic, complemented, Sylow
1516	C₂³	—	2	1	no	—
1517	C₂³	—	2	1	no	—
1518	C₂³	—	4	2	no	—
1519	C₂³	—	8	1	no	—
1520	C₂³	—	8	1	no	—
1521	C₂³	—	13	1	no	—
1522	C₂³	—	26	1	no	—
1523	C₂³	—	26	1	no	—
1524	C₂³	—	52	2	no	—
1525	C₂³	—	52	2	no	—
1526	C₂³	—	104	1	no	—
1527	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1528	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1529	Q₈	—	2	1	no	—
1530	Q₈	—	2	1	no	—
1531	Q₈	—	2	1	no	—
1532	Q₈	—	2	1	no	—
1533	Q₈	—	4	2	no	—
1534	Q₈	—	52	1	no	—
1535	Q₈	—	52	2	no	—
1536	Q₈	—	104	1	no	—
1537	Q₈	—	104	1	no	—
1538	Q₈	—	104	1	no	—
1539	Q₈	—	104	1	no	—
1540	Q₈	—	104	1	no	—
1541	D₄	—	2	1	no	—
1542	D₄	—	2	1	no	—
1543	D₄	—	2	1	no	—
1544	D₄	—	4	1	no	—
1545	D₄	—	4	2	no	—
1546	D₄	—	4	2	no	—
1547	D₄	—	8	1	no	—
1548	D₄	—	26	2	no	—
1549	D₄	—	26	2	no	—
1550	D₄	—	26	1	no	—
1551	D₄	—	26	1	no	—
1552	D₄	—	26	1	no	—
1553	D₄	—	26	1	no	—
1554	D₄	—	52	2	no	—
1555	D₄	—	52	2	no	—
1556	D₄	—	52	2	no	—
1557	D₄	—	104	1	no	—
1558	D₄	—	104	1	no	—
1559	D₄	—	104	1	no	—
1560	D₄	—	104	1	no	—
1561	D₄	—	104	1	no	—
1562	D₄	—	104	1	no	—
1563	D₄	#88257	1	2	yes	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	4	2	no	—
1575	C₂×C₄	—	8	1	no	—
1576	C₂×C₄	—	13	1	no	—
1577	C₂×C₄	—	13	1	no	—
1578	C₂×C₄	—	13	1	no	—
1579	C₂×C₄	—	13	1	no	—
1580	C₂×C₄	—	13	1	no	—
1581	C₂×C₄	—	13	1	no	—
1582	C₂×C₄	—	13	1	no	—
1583	C₂×C₄	—	26	2	no	—
1584	C₂×C₄	—	26	1	no	—
1585	C₂×C₄	—	26	1	no	—
1586	C₂×C₄	—	26	1	no	—
1587	C₂×C₄	—	26	1	no	—
1588	C₂×C₄	—	26	1	no	—
1589	C₂×C₄	—	26	1	no	—
1590	C₂×C₄	—	26	1	no	—
1591	C₂×C₄	—	26	1	no	—
1592	C₂×C₄	—	52	1	no	—
1593	C₂×C₄	—	52	2	no	—
1594	C₂×C₄	—	52	2	no	—
1595	C₂×C₄	—	104	1	no	—
1596	C₂×C₄	—	104	1	no	—
1597	C₂×C₄	—	104	1	no	—
1598	C₂×C₄	—	104	1	no	—
1599	C₂×C₄	—	104	1	no	—
1600	C₂×C₄	—	104	1	no	—
1601	C₂×C₄	—	104	1	no	—
1602	C₂×C₄	—	104	1	no	—
1603	C₂×C₄	—	104	1	no	—
1604	C₂×C₄	—	104	1	no	—
1605	C₂×C₄	—	104	1	no	—
1606	C₂×C₄	—	104	1	no	—
1607	C₂×C₄	—	104	1	no	—
1608	C₂×C₄	—	104	1	no	—
1609	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1610	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1611	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1612	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1613	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1614	C₈	—	2	1	no	—
1615	C₈	—	2	1	no	—
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
1618	C₈	—	26	1	no	—
1619	C₈	—	26	1	no	—
1620	C₈	—	26	1	no	—
1621	C₈	—	26	1	no	—
1622	C₂²	—	2	1	no	—
1623	C₂²	—	2	1	no	—
1624	C₂²	—	2	2	no	—
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	1	no	—
1627	C₂²	—	2	1	no	—
1628	C₂²	—	2	1	no	—
1629	C₂²	—	4	1	no	—
1630	C₂²	—	4	1	no	—
1631	C₂²	—	4	1	no	—
1632	C₂²	—	4	1	no	—
1633	C₂²	—	4	1	no	—
1634	C₂²	—	13	2	no	—
1635	C₂²	—	16	2	no	—
1636	C₂²	—	26	1	no	—
1637	C₂²	—	26	1	no	—
1638	C₂²	—	52	1	no	—
1639	C₂²	—	52	1	no	—
1640	C₂²	—	52	1	no	—
1641	C₂²	—	52	1	no	—
1642	C₂²	—	52	1	no	—
1643	C₂²	—	52	1	no	—
1644	C₂²	—	104	4	no	—
1645	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	4	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	26	1	no	—
1657	C₄	—	26	1	no	—
1658	C₄	—	26	1	no	—
1659	C₄	—	26	1	no	—
1660	C₄	—	26	1	no	—
1661	C₄	—	26	1	no	—
1662	C₄	—	26	1	no	—
1663	C₄	—	52	1	no	—
1664	C₄	—	52	1	no	—
1665	C₄	—	52	1	no	—
1666	C₄	—	52	1	no	—
1667	C₄	—	52	1	no	—
1668	C₄	—	52	1	no	—
1669	C₄	C₂×#88257	1	1	yes	characteristic
1670	C₄	#11719650	1	1	yes	characteristic
1671	C₂	—	4	1	no	—
1672	C₂	—	4	1	no	—
1673	C₂	—	4	2	no	—
1674	C₂	—	8	1	no	—
1675	C₂	—	26	2	no	—
1676	C₂	—	104	1	no	—
1677	C₂	—	104	1	no	—
1678	C₂	#13128507	1	1	yes	characteristic
1679	C₂	D₁₃×#577	1	1	yes	characteristic
1680	C₂	#13129613	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×#3311	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3311	D₁₃
hypocenter	C₁₃	#62156
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3311

Complements

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

N	H ≅ G/N	type
1. #13129266	C₂	semidirect
2. #13128765	C₂	semidirect
3. #13127782	C₂	semidirect
4. #13127730	C₂	semidirect
5. #13127625	C₂	semidirect
6. #13127601	C₂	semidirect
7. #13127381	C₂	semidirect
8. #13127309	C₂	semidirect
9. #13127308	C₂	semidirect
10. #13127286	C₂	semidirect
11. #13127218	C₂	semidirect
12. #13127188	C₂	semidirect
13. #13126978	C₂	semidirect
14. #13126910	C₂	semidirect
15. #13126797	C₂	semidirect
16. #13126687	C₂	semidirect
17. #13126653	C₂	semidirect
18. #13126302	C₂	semidirect
19. #13126250	C₂	semidirect
20. #13126186	C₂	semidirect
21. #13126140	C₂	semidirect
22. #13126095	C₂	semidirect
23. #13126062	C₂	semidirect
24. #13125106	C₂	semidirect
25. #13125021	C₂	semidirect
26. #13124978	C₂	semidirect
27. #13124696	C₂	semidirect
28. #13124669	C₂	semidirect
29. D₁₃×#476	C₂	semidirect
30. #13123971	C₂	semidirect
31. C₁₃×#3311	C₂	semidirect
32. C₁₃×#556	C₂²	semidirect
38. #11719432	C₂²	semidirect
39. D₁₃×C₄⋊Q₈	C₂²	semidirect
51. #11719348	C₂²	semidirect
52. #11719348	C₂²	semidirect
55. #11719340	C₂²	semidirect
63. #11719285	C₂²	semidirect
65. #11719275	C₂²	semidirect
68. #11719260	C₂²	semidirect
72. #11719235	C₂²	semidirect
73. #11719224	C₂²	semidirect
74. #11719224	C₂²	semidirect
77. C₁₃×#489	C₂²	semidirect
78. C₁₃×#485	C₂²	semidirect
79. C₁₃×#482	C₂²	semidirect
81. C₁₃×#470	C₂²	semidirect
82. C₁₃×#465	C₂²	semidirect
83. C₁₃×#464	C₂²	semidirect
87. C₁₃×#435	C₂²	semidirect
94. #11718849	C₂²	semidirect
95. #11718846	C₂²	semidirect
96. #11718846	C₂²	semidirect
97. #11718845	C₂²	semidirect
101. #11718826	C₂²	semidirect
105. SD₁₆×Dic₁₃	C₂²	semidirect
108. #11718782	C₂²	semidirect
109. #11718780	C₂²	semidirect
110. #11718776	C₂²	semidirect
111. C₈×C₂²⋊D₁₃	C₂²	semidirect
112. C₂×#88057	C₂²	semidirect
113. #11718763	C₂²	semidirect
114. #11718745	C₂²	semidirect
115. #11718741	C₂²	semidirect
116. #11718718	C₂²	semidirect
117. #11718716	C₂²	semidirect
118. #11718710	C₂²	semidirect
120. #11718709	C₂²	semidirect
121. #11718706	C₂²	semidirect
122. #11718704	C₂²	semidirect
123. #11718704	C₂²	semidirect
124. #11718700	C₂²	semidirect
125. #11718695	C₂²	semidirect
126. #11718687	C₂²	semidirect
127. #11718683	C₂²	semidirect
129. #11718672	C₂²	semidirect
132. #11718664	C₂²	semidirect
133. #11718659	C₂²	semidirect
134. #11718656	C₂²	semidirect
135. #11718552	C₂²	semidirect
136. #11718543	C₂²	semidirect
137. #11718539	C₂²	semidirect
138. #11718537	C₂²	semidirect
139. #11718532	C₂²	semidirect
140. #11718531	C₂²	semidirect
141. #11718531	C₂²	semidirect
142. #11718531	C₂²	semidirect
143. D₁₃×#106	C₂²	semidirect
144. D₁₃×#106	C₂²	semidirect
145. #11718517	C₂²	semidirect
146. #11718516	C₂²	semidirect
147. #11718508	C₂²	semidirect
148. #11718503	C₂²	semidirect
149. D₁₃×C₄⋊C₈	C₂²	semidirect
150. #11718489	C₂²	semidirect
151. #11718480	C₂²	semidirect
152. #11718480	C₂²	semidirect
153. #11718470	C₂²	semidirect
154. #11718470	C₂²	semidirect
155. #11718468	C₂²	semidirect
156. #11718466	C₂²	semidirect
157. #11718461	C₂²	semidirect
158. #11718460	C₂²	semidirect
159. #11718460	C₂²	semidirect
160. #11718457	C₂²	semidirect
161. #11718456	C₂²	semidirect
162. #11718452	C₂²	semidirect
163. #11718452	C₂²	semidirect
164. #11718452	C₂²	semidirect
165. #11718452	C₂²	semidirect
166. #11718449	C₂²	semidirect
169. #11718446	C₂²	semidirect
177. #11718427	C₂²	semidirect
181. #11718424	C₂²	semidirect
185. #11718422	C₂²	semidirect
188. #11718420	C₂²	semidirect
189. #11718420	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718397	C₂²	semidirect
194. #11718396	C₂²	semidirect
195. #11718389	C₂²	semidirect
197. #11718381	C₂²	semidirect
198. #11718381	C₂²	semidirect
199. #11718372	C₂²	semidirect
200. #11718366	C₂²	semidirect
201. #11718363	C₂²	semidirect
202. #11718362	C₂²	semidirect
690. #3311	D₁₃	semidirect
817. #556	C₂×D₁₃	semidirect
867. #489	C₂×D₁₃	semidirect
871. #485	C₂×D₁₃	semidirect
880. #482	C₂×D₁₃	semidirect
918. #470	C₂×D₁₃	semidirect
929. #465	C₂×D₁₃	semidirect
932. #464	C₂×D₁₃	semidirect
963. #435	C₂×D₁₃	semidirect
1515. C₁₃	#62156	semidirect

Maximal subgroups

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

subgroup	index
#13129266	2
#13128765	2
#13127782	2
#13127730	2
#13127625	2
#13127601	2
#13127381	2
#13127309	2
#13127308	2
#13127286	2
#13127218	2
#13127188	2
#13126978	2
#13126910	2
#13126797	2
#13126687	2
#13126653	2
#13126302	2
#13126250	2
#13126186	2
#13126140	2
#13126095	2
#13126062	2
#13125106	2
#13125021	2
#13124978	2
#13124696	2
#13124669	2
D₁₃×#476	2
#13123971	2
C₁₃×#3311	2
#62156	13