Subgroups — #16748946

Order 3328.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129087	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128504	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127109	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127082	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126983	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126962	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126864	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126846	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126681	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126673	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126560	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126455	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126429	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126416	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126391	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126377	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126354	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125907	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125879	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125745	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125732	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125648	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125596	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125056	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125034	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124138	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124136	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124074	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124050	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123878	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3287	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88256	C₂²	1	1	yes	characteristic
33	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#550	C₂²	1	1	yes	characteristic
37	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
38	#11719539	C₂²	1	1	yes	characteristic
39	#11719538	C₂²	1	1	yes	characteristic, complemented
40	#11719536	C₂²	1	1	yes	characteristic
41	#11719533	C₂²	1	1	yes	characteristic, complemented
42	#11719529	C₂²	1	1	yes	characteristic, complemented
43	#11719529	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88203	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88169	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
50	#11719425	—	2	1	no	—
51	#11719424	—	2	1	no	—
52	#11719424	C₂²	1	1	yes	characteristic, complemented
53	#11719423	C₂²	1	1	yes	characteristic, complemented
54	#11719422	—	2	1	no	—
55	#11719422	C₂²	1	1	yes	characteristic
56	#11719420	—	2	1	no	—
57	#11719420	C₂²	1	1	yes	characteristic
58	#11719325	—	2	1	no	—
59	#11719323	C₂²	1	1	yes	characteristic, complemented
60	#11719320	—	2	1	no	—
61	#11719319	C₂²	1	1	yes	characteristic, complemented
62	#11719317	—	2	1	no	—
63	#11719317	C₂²	1	1	yes	characteristic
64	#11719314	—	2	1	no	—
65	#11719314	C₂²	1	1	yes	characteristic
66	#11719313	—	2	1	no	—
67	#11719313	C₂²	1	1	yes	characteristic
68	#11719313	C₂²	1	1	yes	characteristic, complemented
69	#11719311	C₂²	1	1	yes	characteristic, complemented
70	D₁₃×#121	—	2	1	no	—
71	D₁₃×#121	C₂²	1	1	yes	characteristic
72	#11719307	—	2	1	no	—
73	#11719306	—	2	1	no	—
74	#11719288	C₂²	1	1	yes	characteristic, complemented
75	#11719286	C₂²	1	1	yes	characteristic, complemented
76	#11719281	C₂²	1	1	yes	characteristic
77	#11719279	C₂²	1	1	yes	characteristic
78	#11719269	—	2	1	no	—
79	#11719255	—	2	1	no	—
80	#11719255	C₂²	1	1	yes	characteristic
81	#11719252	—	2	1	no	—
82	#11719252	C₂²	1	1	yes	characteristic
83	#11719246	C₂²	1	1	yes	characteristic, complemented
84	#11719245	—	2	1	no	—
85	C₁₃×#493	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
95	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
96	#11718900	C₂²	1	1	yes	characteristic, complemented
97	#11718900	C₂²	1	1	yes	characteristic, complemented
98	#11718900	C₂²	1	1	yes	characteristic, complemented
99	#11718899	C₂²	1	1	yes	characteristic, complemented
100	#11718894	C₂²	1	1	yes	characteristic, complemented
101	#11718893	C₂²	1	1	yes	characteristic, complemented
102	#11718848	C₂²	1	1	yes	characteristic
103	#11718848	C₂²	1	1	yes	characteristic, complemented
104	#11718847	C₂²	1	1	yes	characteristic, complemented
105	#11718843	C₂²	1	1	yes	characteristic, complemented
106	#11718836	C₂²	1	1	yes	characteristic, complemented
107	#11718835	C₂²	1	1	yes	characteristic, complemented
108	#11718834	C₂²	1	1	yes	characteristic, complemented
109	#11718833	C₂²	1	1	yes	characteristic
110	#11718833	C₂²	1	1	yes	characteristic
111	#11718833	C₂²	1	1	yes	characteristic, complemented
112	#11718832	C₂²	1	1	yes	characteristic, complemented
113	#11718831	C₂²	1	1	yes	characteristic, complemented
114	#11718830	C₂²	1	1	yes	characteristic, complemented
115	#11718830	C₂²	1	1	yes	characteristic, complemented
116	#11718830	C₂²	1	1	yes	characteristic, complemented
117	#11718828	C₂²	1	1	yes	characteristic, complemented
118	#11718825	C₂²	1	1	yes	characteristic, complemented
119	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
120	#11718820	C₂²	1	1	yes	characteristic, complemented
121	#11718820	C₂²	1	1	yes	characteristic, complemented
122	#11718819	C₂²	1	1	yes	characteristic, complemented
123	#11718819	C₂²	1	1	yes	characteristic, complemented
124	#11718819	C₂²	1	1	yes	characteristic, complemented
125	#11718819	C₂²	1	1	yes	characteristic, complemented
126	#11718817	C₂²	1	1	yes	characteristic, complemented
127	#11718817	C₂²	1	1	yes	characteristic, complemented
128	#11718817	C₂²	1	1	yes	characteristic, complemented
129	#11718817	C₂²	1	1	yes	characteristic, complemented
130	#11718814	C₂²	1	1	yes	characteristic, complemented
131	#11718814	C₂²	1	1	yes	characteristic, complemented
132	#11718811	C₂²	1	1	yes	characteristic, complemented
133	#11718811	C₂²	1	1	yes	characteristic, complemented
134	#11718777	C₂²	1	1	yes	characteristic, complemented
135	#11718775	C₂²	1	1	yes	characteristic, complemented
136	#11718774	C₂²	1	1	yes	characteristic, complemented
137	C₂×#88061	C₂²	1	1	yes	characteristic, complemented
138	#11718772	C₂²	1	1	yes	characteristic, complemented
139	#11718771	C₂²	1	1	yes	characteristic, complemented
140	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
141	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
142	#11718736	C₂²	1	1	yes	characteristic, complemented
143	#11718735	C₂²	1	1	yes	characteristic, complemented
144	#11718733	C₂²	1	1	yes	characteristic, complemented
145	#11718732	C₂²	1	1	yes	characteristic, complemented
146	#11718703	C₂²	1	1	yes	characteristic, complemented
147	#11718703	C₂²	1	1	yes	characteristic, complemented
148	#11718702	C₂²	1	1	yes	characteristic, complemented
149	#11718699	C₂²	1	1	yes	characteristic, complemented
150	#11718698	C₂²	1	1	yes	characteristic, complemented
151	#11718697	C₂²	1	1	yes	characteristic, complemented
152	#11718696	C₂²	1	1	yes	characteristic, complemented
153	#11718695	C₂²	1	1	yes	characteristic, complemented
154	#11718691	C₂²	1	1	yes	characteristic, complemented
155	#11718689	C₂²	1	1	yes	characteristic, complemented
156	#11718687	C₂²	1	1	yes	characteristic, complemented
157	#11718683	C₂²	1	1	yes	characteristic, complemented
158	#11718672	C₂²	1	1	yes	characteristic, complemented
159	#11718552	C₂²	1	1	yes	characteristic, complemented
160	#11718546	C₂²	1	1	yes	characteristic, complemented
161	#11718545	C₂²	1	1	yes	characteristic, complemented
162	#11718545	C₂²	1	1	yes	characteristic, complemented
163	#11718508	C₂²	1	1	yes	characteristic, complemented
164	#11718506	C₂²	1	1	yes	characteristic, complemented
165	#11718501	C₂²	1	1	yes	characteristic, complemented
166	#11718497	C₂²	1	1	yes	characteristic, complemented
167	#11718479	C₂²	1	1	yes	characteristic, complemented
168	#11718477	C₂²	1	1	yes	characteristic, complemented
169	#11718473	C₂²	1	1	yes	characteristic, complemented
170	#11718471	C₂²	1	1	yes	characteristic
171	#11718466	C₂²	1	1	yes	characteristic, complemented
172	#11718464	C₂²	1	1	yes	characteristic, complemented
173	#11718463	C₂²	1	1	yes	characteristic, complemented
174	#11718460	C₂²	1	1	yes	characteristic, complemented
175	#11718446	C₂²	1	1	yes	characteristic, complemented
176	#11718444	C₂²	1	1	yes	characteristic, complemented
177	#11718444	C₂²	1	1	yes	characteristic, complemented
178	#11718443	C₂²	1	1	yes	characteristic, complemented
179	#11718442	C₂²	1	1	yes	characteristic, complemented
180	#11718440	C₂²	1	1	yes	characteristic, complemented
181	#11718439	C₂²	1	1	yes	characteristic, complemented
182	#11718438	C₂²	1	1	yes	characteristic, complemented
183	#11718437	C₂²	1	1	yes	characteristic, complemented
184	#11718435	C₂²	1	1	yes	characteristic, complemented
185	#11718435	C₂²	1	1	yes	characteristic, complemented
186	#11718431	C₂²	1	1	yes	characteristic, complemented
187	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
188	#11718429	C₂²	1	1	yes	characteristic, complemented
189	#11718425	C₂²	1	1	yes	characteristic, complemented
190	#11718417	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718394	C₂²	1	1	yes	characteristic, complemented
193	#11718392	C₂²	1	1	yes	characteristic, complemented
194	#11718391	C₂²	1	1	yes	characteristic, complemented
195	#11718390	C₂²	1	1	yes	characteristic, complemented
196	#11718388	C₂²	1	1	yes	characteristic, complemented
197	#11718387	C₂²	1	1	yes	characteristic, complemented
198	#11718382	C₂²	1	1	yes	characteristic, complemented
199	#11718358	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
201	#11718351	C₂²	1	1	yes	characteristic, complemented
202	#11718349	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	#88256	—	4	2	no	—
208	#88256	—	4	2	no	—
209	#41×D₁₃	—	4	2	no	—
210	#41×D₁₃	—	4	2	no	—
211	C₂×#6131	C₂³	1	1	yes	characteristic
212	C₂×#6131	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	C₂³	1	1	yes	characteristic
216	C₂×#6129	C₂³	1	1	yes	characteristic
217	C₂×#6129	C₂³	1	1	yes	characteristic
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	—	2	1	no	—
222	C₂×D₄×D₁₃	—	2	1	no	—
223	C₂×D₄×D₁₃	—	2	1	no	—
224	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
227	C₂×#6127	—	2	1	no	—
228	C₂×#6127	—	2	1	no	—
229	C₂×#6127	C₂³	1	1	yes	characteristic
230	C₂×#6127	C₂³	1	1	yes	characteristic
231	C₂²×D₅₂	—	2	1	no	—
232	C₂²×D₅₂	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₁₃	—	2	1	no	—
234	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
235	C₁₃×#135	—	4	2	no	—
236	C₁₃×#135	—	4	2	no	—
237	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
246	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
247	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₁₃×#127	—	2	1	no	—
249	C₁₃×#127	—	2	1	no	—
250	C₁₃×#127	C₂³	1	1	yes	characteristic
251	C₁₃×#127	C₂³	1	1	yes	characteristic
252	C₁₃×#121	—	2	1	no	—
253	C₁₃×#121	—	2	1	no	—
254	C₁₃×#121	—	2	1	no	—
255	C₁₃×#121	—	2	1	no	—
256	C₁₃×#121	C₂³	1	1	yes	characteristic
257	C₁₃×#121	C₂³	1	1	yes	characteristic
258	C₁₃×#121	C₂³	1	1	yes	characteristic
259	C₁₃×#121	C₂³	1	1	yes	characteristic
260	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
261	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
265	#88204	—	4	2	no	—
266	#88203	—	4	2	no	—
267	#88200	C₂³	1	1	yes	characteristic
268	#88200	C₂³	1	1	yes	characteristic
269	#88200	C₂³	1	1	yes	characteristic
270	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
271	#88198	C₂³	1	1	yes	characteristic
272	C₂×#6107	C₂³	1	1	yes	characteristic
273	C₂×#6107	C₂³	1	1	yes	characteristic
274	C₂×#6106	C₂³	1	1	yes	characteristic
275	C₂×#6106	C₂³	1	1	yes	characteristic
276	#88194	—	2	1	no	—
277	#88194	—	2	1	no	—
278	#88194	C₂³	1	1	yes	characteristic
279	#88193	—	2	1	no	—
280	#88193	—	2	1	no	—
281	#88193	—	2	1	no	—
282	#88193	—	2	1	no	—
283	#88193	—	2	1	no	—
284	#88193	—	2	1	no	—
285	#88193	—	2	1	no	—
286	#88193	—	2	1	no	—
287	#88193	—	2	1	no	—
288	#88193	—	2	1	no	—
289	#88193	—	2	1	no	—
290	#88193	—	2	1	no	—
291	#88193	—	2	1	no	—
292	#88193	—	2	1	no	—
293	#88193	D₄	1	1	yes	characteristic
294	#88192	—	2	1	no	—
295	#88192	—	2	1	no	—
296	#88192	—	2	1	no	—
297	#88192	—	2	1	no	—
298	#88192	—	2	1	no	—
299	#88192	—	2	1	no	—
300	#88192	—	2	1	no	—
301	#88192	C₂³	1	1	yes	characteristic
302	#88192	C₂³	1	1	yes	characteristic
303	#88192	C₂³	1	1	yes	characteristic
304	#88192	C₂³	1	1	yes	characteristic
305	#88192	C₂³	1	1	yes	characteristic
306	#88192	C₂³	1	1	yes	characteristic
307	#88191	—	2	1	no	—
308	#88191	—	2	1	no	—
309	#88191	—	2	1	no	—
310	#88191	—	2	1	no	—
311	#88191	—	2	1	no	—
312	#88191	—	2	1	no	—
313	#88191	—	2	1	no	—
314	#88191	—	2	1	no	—
315	#88191	—	2	1	no	—
316	#88191	D₄	1	1	yes	characteristic
317	#88190	—	2	1	no	—
318	#88190	C₂³	1	1	yes	characteristic
319	#88189	—	2	1	no	—
320	#88189	—	2	1	no	—
321	#88189	—	2	1	no	—
322	#88189	—	2	1	no	—
323	#88189	—	2	1	no	—
324	#88189	—	2	1	no	—
325	#88189	—	2	1	no	—
326	D₄×Dic₁₃	—	2	1	no	—
327	D₄×Dic₁₃	—	2	1	no	—
328	D₄×Dic₁₃	—	2	1	no	—
329	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
330	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
331	C₂×#6105	C₂³	1	1	yes	characteristic
332	C₂×#6105	C₂³	1	1	yes	characteristic
333	C₂×#6105	C₂³	1	1	yes	characteristic
334	C₂×#6105	C₂³	1	1	yes	characteristic
335	C₂×#6104	C₂³	1	1	yes	characteristic
336	C₂×#6104	C₂³	1	1	yes	characteristic
337	C₂×#6104	C₂³	1	1	yes	characteristic
338	C₂×#6104	C₂³	1	1	yes	characteristic
339	#88184	—	2	1	no	—
340	#88184	—	2	1	no	—
341	#88184	C₂³	1	1	yes	characteristic
342	#88183	—	2	1	no	—
343	#88183	—	2	1	no	—
344	C₄×C₂²⋊D₁₃	—	2	1	no	—
345	C₄×C₂²⋊D₁₃	—	2	1	no	—
346	C₄×C₂²⋊D₁₃	—	2	1	no	—
347	C₄×C₂²⋊D₁₃	—	2	1	no	—
348	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
349	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
350	#88180	C₂³	1	1	yes	characteristic
351	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
352	#88178	—	2	1	no	—
353	#88178	—	2	1	no	—
354	#88178	C₂³	1	1	yes	characteristic
355	#88178	C₂³	1	1	yes	characteristic
356	#88178	C₂³	1	1	yes	characteristic
357	C₂×#6101	—	2	1	no	—
358	C₂×#6101	—	2	1	no	—
359	C₂×#6099	C₂³	1	1	yes	characteristic
360	C₂²×#1055	C₂³	1	1	yes	characteristic
361	#88170	—	4	2	no	—
362	#88169	—	4	2	no	—
363	#88165	—	4	2	no	—
364	#88165	—	4	2	no	—
365	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
366	C₂×#6095	C₂³	1	1	yes	characteristic
367	C₂×#6095	C₂³	1	1	yes	characteristic
368	C₂×#6094	C₂³	1	1	yes	characteristic
369	C₂×#6094	C₂³	1	1	yes	characteristic
370	C₂×#6094	C₂³	1	1	yes	characteristic
371	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
372	#88152	—	2	1	no	—
373	#88151	—	2	1	no	—
374	#88151	C₂³	1	1	yes	characteristic
375	#88151	C₂³	1	1	yes	characteristic
376	#88150	D₄	1	1	yes	characteristic
377	#88149	—	2	1	no	—
378	#88149	C₂³	1	1	yes	characteristic
379	#88148	—	2	1	no	—
380	#88148	—	2	1	no	—
381	#88148	D₄	1	1	yes	characteristic
382	#88147	—	2	1	no	—
383	#88147	C₂³	1	1	yes	characteristic
384	#88146	C₂³	1	1	yes	characteristic
385	C₄⋊C₄×D₁₃	—	2	1	no	—
386	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
387	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
388	#88144	C₂³	1	1	yes	characteristic
389	#88143	—	2	1	no	—
390	#88143	—	2	1	no	—
391	#88143	—	2	1	no	—
392	#88140	—	2	1	no	—
393	#88138	—	2	1	no	—
394	#88138	—	2	1	no	—
395	#88138	—	2	1	no	—
396	#88138	—	2	1	no	—
397	#88138	—	2	1	no	—
398	#88138	D₄	1	1	yes	characteristic
399	#88137	—	2	1	no	—
400	#88137	—	2	1	no	—
401	#88137	D₄	1	1	yes	characteristic
402	#88136	—	2	1	no	—
403	#88136	D₄	1	1	yes	characteristic
404	#88135	—	2	1	no	—
405	#88135	—	2	1	no	—
406	C₂²⋊C₄×D₁₃	—	2	1	no	—
407	C₂²⋊C₄×D₁₃	—	2	1	no	—
408	C₂²⋊C₄×D₁₃	—	2	1	no	—
409	#88133	—	2	1	no	—
410	#88133	—	2	1	no	—
411	#88133	—	2	1	no	—
412	#88132	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	D₄	1	1	yes	characteristic
415	#88131	—	2	1	no	—
416	#88130	—	2	1	no	—
417	#88130	—	2	1	no	—
418	#88129	—	2	1	no	—
419	#88129	C₂³	1	1	yes	characteristic
420	C₄×D₅₂	—	2	1	no	—
421	C₄×D₅₂	—	2	1	no	—
422	C₄×D₅₂	C₂³	1	1	yes	characteristic
423	C₄×D₅₂	C₂³	1	1	yes	characteristic
424	#88126	—	2	1	no	—
425	#88126	—	2	1	no	—
426	#88126	C₂³	1	1	yes	characteristic
427	#88124	—	2	1	no	—
428	#88124	C₂³	1	1	yes	characteristic
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
430	C₁₃×#107	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#102	C₂³	1	1	yes	characteristic
435	C₁₃×#102	C₂³	1	1	yes	characteristic
436	C₁₃×#102	C₂³	1	1	yes	characteristic
437	C₁₃×#102	C₂³	1	1	yes	characteristic
438	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88075	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	#88072	C₂³	1	1	yes	characteristic
447	#88072	C₂³	1	1	yes	characteristic
448	#88072	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	#88072	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic
454	C₂²⋊#1055	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88061	C₂³	1	1	yes	characteristic
457	#88061	C₂³	1	1	yes	characteristic
458	#88061	C₂³	1	1	yes	characteristic
459	#88061	C₂³	1	1	yes	characteristic
460	#88061	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88060	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88060	C₂³	1	1	yes	characteristic
467	#88060	C₂³	1	1	yes	characteristic
468	#88060	C₂³	1	1	yes	characteristic
469	#88058	C₂³	1	1	yes	characteristic
470	#88057	C₂³	1	1	yes	characteristic
471	#88057	C₂³	1	1	yes	characteristic
472	#88056	C₂³	1	1	yes	characteristic
473	#88056	C₂³	1	1	yes	characteristic
474	#88056	C₂³	1	1	yes	characteristic
475	#88056	C₂³	1	1	yes	characteristic
476	#88055	C₂³	1	1	yes	characteristic
477	#88054	C₂³	1	1	yes	characteristic
478	#88054	C₂³	1	1	yes	characteristic
479	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
480	#88050	C₂³	1	1	yes	characteristic
481	#88050	C₂³	1	1	yes	characteristic
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic
485	#88048	C₂³	1	1	yes	characteristic
486	#88047	C₂³	1	1	yes	characteristic
487	#88047	C₂³	1	1	yes	characteristic
488	C₄⋊#1055	C₂³	1	1	yes	characteristic
489	#88043	C₂³	1	1	yes	characteristic
490	#61628	—	13	1	no	maximal, Sylow
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
496	C₁₃×#41	—	2	2	no	—
497	C₁₃×#41	—	2	2	no	—
498	C₁₃×#41	—	4	1	no	—
499	C₁₃×#41	—	4	1	no	—
500	C₁₃×#41	—	4	1	no	—
501	C₁₃×#41	—	4	1	no	—
502	C₁₃×#41	—	4	1	no	—
503	C₁₃×#41	—	4	1	no	—
504	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	2	1	no	—
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	2	1	no	—
517	C₂×D₄×C₁₃	—	2	1	no	—
518	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₁₃	—	2	1	no	—
524	C₂²×C₄×C₁₃	—	2	1	no	—
525	C₂²×C₄×C₁₃	—	2	1	no	—
526	C₂²×C₄×C₁₃	—	2	1	no	—
527	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	2	1	no	—
536	C₂×C₂²⋊D₁₃	—	2	1	no	—
537	C₂×C₂²⋊D₁₃	—	2	1	no	—
538	C₂×C₂²⋊D₁₃	—	2	1	no	—
539	C₂×C₂²⋊D₁₃	—	2	1	no	—
540	C₂×C₂²⋊D₁₃	—	2	1	no	—
541	C₂×C₂²⋊D₁₃	—	2	1	no	—
542	C₂×C₂²⋊D₁₃	—	2	1	no	—
543	C₂×C₂²⋊D₁₃	—	2	1	no	—
544	C₂×C₂²⋊D₁₃	—	2	1	no	—
545	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
546	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
547	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
548	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
549	C₂²×Dic₁₃	—	2	1	no	—
550	C₂²×Dic₁₃	—	2	1	no	—
551	C₂²×Dic₁₃	—	2	1	no	—
552	C₂²×Dic₁₃	—	2	1	no	—
553	C₂²×Dic₁₃	—	2	1	no	—
554	C₂²×Dic₁₃	—	2	1	no	—
555	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
556	#6131	—	2	2	no	—
557	#6131	—	2	2	no	—
558	#6131	—	2	2	no	—
559	#6131	—	4	1	no	—
560	Q₈×D₁₃	—	2	2	no	—
561	Q₈×D₁₃	—	4	1	no	—
562	#6129	—	4	1	no	—
563	#6129	—	4	1	no	—
564	#6129	—	4	1	no	—
565	#6129	—	4	1	no	—
566	#6129	—	4	1	no	—
567	#6129	—	4	1	no	—
568	#6129	—	4	4	no	—
569	D₄×D₁₃	—	2	2	no	—
570	D₄×D₁₃	—	2	2	no	—
571	D₄×D₁₃	—	4	1	no	—
572	D₄×D₁₃	—	4	1	no	—
573	D₄×D₁₃	—	4	1	no	—
574	D₄×D₁₃	—	4	1	no	—
575	D₄×D₁₃	—	4	4	no	—
576	D₄×D₁₃	—	4	4	no	—
577	D₄×D₁₃	—	4	4	no	—
578	D₄×D₁₃	—	8	2	no	—
579	D₄×D₁₃	—	8	2	no	—
580	D₄×D₁₃	—	8	2	no	—
581	#6127	—	2	2	no	—
582	#6127	—	4	1	no	—
583	#6127	—	4	1	no	—
584	#6127	—	4	1	no	—
585	#6127	—	4	4	no	—
586	#6127	—	4	4	no	—
587	C₂×D₅₂	—	2	1	no	—
588	C₂×D₅₂	—	2	2	no	—
589	C₂×D₅₂	—	2	1	no	—
590	C₂×D₅₂	—	2	1	no	—
591	C₂×D₅₂	—	2	1	no	—
592	C₂×D₅₂	—	4	1	no	—
593	C₂×D₅₂	—	4	4	no	—
594	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
595	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
596	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
597	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
598	C₂×C₄×D₁₃	—	2	1	no	—
599	C₂×C₄×D₁₃	—	2	1	no	—
600	C₂×C₄×D₁₃	—	2	1	no	—
601	C₂×C₄×D₁₃	—	2	1	no	—
602	C₂×C₄×D₁₃	—	2	1	no	—
603	C₂×C₄×D₁₃	—	2	1	no	—
604	C₂×C₄×D₁₃	—	2	1	no	—
605	C₂×C₄×D₁₃	—	2	1	no	—
606	C₂×C₄×D₁₃	—	4	1	no	—
607	C₂×C₄×D₁₃	—	4	1	no	—
608	C₂×C₄×D₁₃	—	4	4	no	—
609	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
610	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
611	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
612	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
613	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
614	C₂×Dic₂₆	—	2	1	no	—
615	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
616	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
617	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
618	C₁₃×Q₁₆	—	2	2	no	—
619	C₁₃×SD₁₆	—	2	2	no	—
620	C₁₃×SD₁₆	—	2	2	no	—
621	C₁₃×SD₁₆	—	4	1	no	—
622	C₁₃×SD₁₆	—	4	1	no	—
623	C₁₃×D₈	—	4	1	no	—
624	C₁₃×D₈	—	4	1	no	—
625	C₁₃×D₈	—	4	1	no	—
626	C₁₃×D₈	—	4	1	no	—
627	C₂×C₈×C₁₃	—	4	1	no	—
628	C₂×C₈×C₁₃	—	4	1	no	—
629	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
630	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
631	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
632	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
633	C₁₃×C₄⋊C₄	—	2	1	no	—
634	C₁₃×C₄⋊C₄	—	2	1	no	—
635	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
637	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₄²×C₁₃	—	2	1	no	—
645	C₄²×C₁₃	—	2	1	no	—
646	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
647	C₂²⋊Dic₁₃	—	2	1	no	—
648	C₂²⋊Dic₁₃	—	2	1	no	—
649	C₂²⋊Dic₁₃	—	2	1	no	—
650	C₂²⋊Dic₁₃	—	2	1	no	—
651	C₂²⋊Dic₁₃	—	2	1	no	—
652	C₂²⋊Dic₁₃	—	2	1	no	—
653	C₂²⋊Dic₁₃	—	2	1	no	—
654	C₂²⋊Dic₁₃	—	2	1	no	—
655	C₂²⋊Dic₁₃	—	2	1	no	—
656	C₂²⋊Dic₁₃	—	2	1	no	—
657	C₂²⋊Dic₁₃	—	2	1	no	—
658	C₂²⋊Dic₁₃	—	2	1	no	—
659	C₂²⋊Dic₁₃	—	2	1	no	—
660	C₂²⋊Dic₁₃	—	2	1	no	—
661	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
663	#6107	—	2	2	no	—
664	#6107	—	4	1	no	—
665	#6106	—	2	2	no	—
666	#6106	—	4	1	no	—
667	#6105	—	4	1	no	—
668	#6105	—	4	1	no	—
669	#6105	—	4	1	no	—
670	#6105	—	4	1	no	—
671	#6104	—	2	2	no	—
672	#6104	—	2	2	no	—
673	#6104	—	4	1	no	—
674	#6104	—	4	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	1	no	—
677	#6103	—	2	1	no	—
678	#6103	—	2	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	—	2	1	no	—
684	#6103	—	2	1	no	—
685	#6103	—	2	1	no	—
686	#6103	—	2	1	no	—
687	#6103	C₂×D₄	1	1	yes	characteristic
688	#6103	C₂×D₄	1	1	yes	characteristic
689	#6103	C₂×D₄	1	1	yes	characteristic
690	#6103	C₂×D₄	1	1	yes	characteristic
691	#6103	C₂×D₄	1	1	yes	characteristic
692	#6103	C₂×D₄	1	1	yes	characteristic
693	C₄⋊Dic₁₃	—	2	1	no	—
694	C₄⋊Dic₁₃	—	2	1	no	—
695	C₄⋊Dic₁₃	—	2	1	no	—
696	C₄⋊Dic₁₃	—	2	1	no	—
697	C₄⋊Dic₁₃	—	2	1	no	—
698	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
699	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
700	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
701	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
702	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
708	#6101	—	2	1	no	—
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	—	2	1	no	—
717	#6101	C₂×D₄	1	1	yes	characteristic
718	#6101	C₂×D₄	1	1	yes	characteristic
719	#6101	C₂×D₄	1	1	yes	characteristic
720	#6101	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₁₃	—	2	1	no	—
722	C₄×Dic₁₃	—	2	1	no	—
723	C₄×Dic₁₃	—	2	1	no	—
724	C₄×Dic₁₃	—	2	1	no	—
725	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
726	#6099	—	4	1	no	—
727	C₂×#1055	—	4	1	no	—
728	C₂×#1055	C₂⁴	1	1	yes	characteristic
729	C₂×#1055	C₂⁴	1	1	yes	characteristic
730	C₂×#1055	C₂⁴	1	1	yes	characteristic
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	Dic₅₂	—	4	1	no	—
733	#6095	—	2	2	no	—
734	#6095	—	4	1	no	—
735	#6094	—	4	1	no	—
736	#6094	—	4	1	no	—
737	#6094	—	4	1	no	—
738	C₈×D₁₃	—	4	1	no	—
739	#3539	—	13	1	no	—
740	#3488	—	13	1	no	—
741	#3327	—	13	1	no	—
742	#3326	—	13	1	no	—
743	#3318	—	13	1	no	—
744	#3317	—	13	1	no	—
745	#3310	—	13	1	no	—
746	#3309	—	13	1	no	—
747	#3297	—	13	1	no	—
748	#3296	—	13	1	no	—
749	#3287	D₁₃	1	1	yes	characteristic, complemented
750	#3284	—	13	1	no	—
751	#3274	—	13	1	no	—
752	#3272	—	13	1	no	—
753	#3271	—	13	1	no	—
754	#3269	—	13	1	no	—
755	#3268	—	13	1	no	—
756	#3267	—	13	1	no	—
757	#3222	—	13	1	no	—
758	#3220	—	13	1	no	—
759	#3204	—	13	1	no	—
760	#3203	—	13	1	no	—
761	#3194	—	13	1	no	—
762	#3188	—	13	1	no	—
763	#3120	—	13	1	no	—
764	#3119	—	13	1	no	—
765	#3012	—	13	1	no	—
766	#3012	—	13	1	no	—
767	#3005	—	13	1	no	—
768	#3002	—	13	1	no	—
769	#2976	—	13	1	no	—
770	C₂³×C₁₃	—	2	1	no	—
771	C₂³×C₁₃	—	2	1	no	—
772	C₂³×C₁₃	—	2	1	no	—
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
775	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
776	C₂²×D₁₃	—	2	1	no	—
777	C₂²×D₁₃	—	2	1	no	—
778	C₂²×D₁₃	—	4	1	no	—
779	C₂²×D₁₃	—	4	1	no	—
780	C₂²×D₁₃	—	4	1	no	—
781	C₂²×D₁₃	—	4	2	no	—
782	C₂²×D₁₃	—	4	2	no	—
783	C₂²×D₁₃	—	4	2	no	—
784	C₂²×D₁₃	—	4	2	no	—
785	C₂²×D₁₃	—	4	2	no	—
786	C₂²×D₁₃	—	8	1	no	—
787	C₂²×D₁₃	—	8	1	no	—
788	C₂²×D₁₃	—	8	1	no	—
789	C₂²×D₁₃	—	8	1	no	—
790	C₂²×D₁₃	—	8	1	no	—
791	C₂²×D₁₃	—	8	1	no	—
792	C₂²×D₁₃	—	8	1	no	—
793	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
795	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
796	Q₈×C₁₃	—	2	1	no	—
797	Q₈×C₁₃	—	2	1	no	—
798	Q₈×C₁₃	—	2	1	no	—
799	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
800	D₄×C₁₃	—	2	1	no	—
801	D₄×C₁₃	—	2	1	no	—
802	D₄×C₁₃	—	2	1	no	—
803	D₄×C₁₃	—	2	1	no	—
804	D₄×C₁₃	—	2	1	no	—
805	D₄×C₁₃	—	2	1	no	—
806	D₄×C₁₃	—	2	1	no	—
807	D₄×C₁₃	—	2	1	no	—
808	D₄×C₁₃	—	4	1	no	—
809	D₄×C₁₃	—	4	2	no	—
810	D₄×C₁₃	—	4	2	no	—
811	D₄×C₁₃	—	8	1	no	—
812	D₄×C₁₃	—	8	1	no	—
813	D₄×C₁₃	—	8	1	no	—
814	D₄×C₁₃	—	8	1	no	—
815	D₄×C₁₃	—	8	1	no	—
816	D₄×C₁₃	—	8	1	no	—
817	D₄×C₁₃	—	8	1	no	—
818	D₄×C₁₃	—	8	1	no	—
819	D₄×C₁₃	—	8	1	no	—
820	D₄×C₁₃	—	8	1	no	—
821	C₂×C₄×C₁₃	—	2	1	no	—
822	C₂×C₄×C₁₃	—	2	1	no	—
823	C₂×C₄×C₁₃	—	2	1	no	—
824	C₂×C₄×C₁₃	—	2	1	no	—
825	C₂×C₄×C₁₃	—	2	1	no	—
826	C₂×C₄×C₁₃	—	2	1	no	—
827	C₂×C₄×C₁₃	—	2	1	no	—
828	C₂×C₄×C₁₃	—	2	1	no	—
829	C₂×C₄×C₁₃	—	4	2	no	—
830	C₂×C₄×C₁₃	—	4	2	no	—
831	C₂×C₄×C₁₃	—	8	1	no	—
832	C₂×C₄×C₁₃	—	8	1	no	—
833	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
834	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
835	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
836	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
837	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
838	C₂²⋊D₁₃	—	4	1	no	—
839	C₂²⋊D₁₃	—	4	1	no	—
840	C₂²⋊D₁₃	—	4	1	no	—
841	C₂²⋊D₁₃	—	4	1	no	—
842	C₂²⋊D₁₃	—	4	2	no	—
843	C₂²⋊D₁₃	—	4	2	no	—
844	C₂²⋊D₁₃	—	4	2	no	—
845	C₂²⋊D₁₃	—	4	2	no	—
846	C₂²⋊D₁₃	—	4	2	no	—
847	C₂²⋊D₁₃	—	4	2	no	—
848	C₂²⋊D₁₃	—	8	1	no	—
849	C₂²⋊D₁₃	—	8	1	no	—
850	C₂²⋊D₁₃	—	8	1	no	—
851	C₂²⋊D₁₃	—	8	1	no	—
852	C₂²⋊D₁₃	—	8	1	no	—
853	C₂²⋊D₁₃	—	8	1	no	—
854	C₂²⋊D₁₃	—	8	1	no	—
855	C₂²⋊D₁₃	—	8	1	no	—
856	C₂²⋊D₁₃	—	8	1	no	—
857	C₂²⋊D₁₃	—	8	1	no	—
858	C₂×Dic₁₃	—	2	1	no	—
859	C₂×Dic₁₃	—	2	1	no	—
860	C₂×Dic₁₃	—	2	1	no	—
861	C₂×Dic₁₃	—	2	1	no	—
862	C₂×Dic₁₃	—	2	1	no	—
863	C₂×Dic₁₃	—	2	1	no	—
864	C₂×Dic₁₃	—	4	1	no	—
865	C₂×Dic₁₃	—	4	2	no	—
866	C₂×Dic₁₃	—	8	1	no	—
867	C₂×Dic₁₃	—	8	1	no	—
868	C₂×Dic₁₃	—	8	1	no	—
869	C₂×Dic₁₃	—	8	1	no	—
870	C₂×Dic₁₃	—	8	1	no	—
871	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
872	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
873	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
874	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
875	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
876	D₅₂	—	2	4	no	—
877	D₅₂	—	2	1	no	—
878	D₅₂	—	2	1	no	—
879	D₅₂	—	2	1	no	—
880	D₅₂	—	4	1	no	—
881	D₅₂	—	4	1	no	—
882	D₅₂	—	4	2	no	—
883	D₅₂	—	4	2	no	—
884	D₅₂	—	4	2	no	—
885	D₅₂	H(5,𝔽₂)	1	2	yes	—
886	C₄×D₁₃	—	2	4	no	—
887	C₄×D₁₃	—	2	1	no	—
888	C₄×D₁₃	—	2	1	no	—
889	C₄×D₁₃	—	2	1	no	—
890	C₄×D₁₃	—	2	1	no	—
891	C₄×D₁₃	—	2	1	no	—
892	C₄×D₁₃	—	2	1	no	—
893	C₄×D₁₃	—	4	1	no	—
894	C₄×D₁₃	—	4	1	no	—
895	C₄×D₁₃	—	4	2	no	—
896	C₄×D₁₃	—	4	2	no	—
897	C₄×D₁₃	—	4	2	no	—
898	C₄×D₁₃	—	8	1	no	—
899	C₄×D₁₃	—	8	1	no	—
900	C₄×D₁₃	—	8	1	no	—
901	C₄×D₁₃	—	8	1	no	—
902	Dic₂₆	—	2	1	no	—
903	Dic₂₆	—	2	1	no	—
904	Dic₂₆	—	2	1	no	—
905	Dic₂₆	—	2	1	no	—
906	Dic₂₆	—	4	1	no	—
907	Dic₂₆	—	4	2	no	—
908	C₈×C₁₃	—	2	1	no	—
909	C₈×C₁₃	—	2	1	no	—
910	C₈×C₁₃	—	2	1	no	—
911	C₈×C₁₃	—	2	1	no	—
912	#1055	—	2	1	no	—
913	#1055	—	2	1	no	—
914	#1055	—	2	1	no	—
915	#1055	—	2	1	no	—
916	C₂×H(5,𝔽₂)	—	13	1	no	—
917	C₂²×#41	—	13	1	no	—
918	C₂×#137	—	13	1	no	—
919	C₂×AGL(1,ℤ/8)	—	13	1	no	—
920	C₂×AGL(1,ℤ/8)	—	13	1	no	—
921	C₂×AGL(1,ℤ/8)	—	13	1	no	—
922	C₂×#135	—	13	1	no	—
923	C₂×#135	—	13	1	no	—
924	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
925	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
926	#560	—	26	1	no	—
927	#560	—	26	1	no	—
928	#553	—	13	1	no	—
929	#553	—	13	1	no	—
930	#553	—	26	1	no	—
931	#553	—	26	1	no	—
932	#552	—	13	1	no	—
933	#552	—	13	1	no	—
934	#550	—	13	1	no	—
935	#550	—	13	1	no	—
936	#550	C₂×D₁₃	1	1	yes	characteristic
937	#550	C₂×D₁₃	1	1	yes	characteristic, complemented
938	#548	—	13	1	no	—
939	#548	—	13	1	no	—
940	#547	—	13	1	no	—
941	#547	—	13	1	no	—
942	#546	—	13	1	no	—
943	#546	—	13	1	no	—
944	#546	—	26	1	no	—
945	#546	—	26	1	no	—
946	D₄²	—	13	1	no	—
947	D₄²	—	13	1	no	—
948	D₄²	—	26	1	no	—
949	D₄²	—	26	1	no	—
950	#541	—	13	1	no	—
951	#540	—	13	1	no	—
952	#540	—	26	1	no	—
953	#540	—	26	1	no	—
954	#539	—	26	1	no	—
955	#539	—	26	1	no	—
956	#537	—	13	1	no	—
957	#537	—	13	1	no	—
958	#537	—	13	1	no	—
959	#537	—	26	1	no	—
960	#535	—	13	1	no	—
961	#535	—	26	1	no	—
962	#525	—	13	1	no	—
963	#525	—	13	1	no	—
964	#525	—	13	1	no	—
965	#525	—	26	1	no	—
966	C₂×#121	—	13	1	no	—
967	C₂×#121	—	26	1	no	—
968	#520	—	13	1	no	—
969	#497	—	13	1	no	—
970	#496	—	13	1	no	—
971	#493	C₂×D₁₃	1	1	yes	characteristic, complemented
972	#492	—	13	1	no	—
973	#490	—	13	1	no	—
974	#490	—	13	1	no	—
975	#488	—	13	1	no	—
976	#488	—	13	1	no	—
977	#484	—	13	1	no	—
978	#484	—	13	1	no	—
979	#483	—	13	1	no	—
980	#483	—	13	1	no	—
981	#482	—	13	1	no	—
982	#482	—	13	1	no	—
983	#482	—	13	1	no	—
984	#482	—	13	1	no	—
985	#481	—	13	1	no	—
986	#481	—	13	1	no	—
987	#480	—	13	1	no	—
988	#480	—	13	1	no	—
989	#479	—	13	1	no	—
990	#479	—	13	1	no	—
991	#478	—	13	1	no	—
992	#478	—	13	1	no	—
993	#470	—	13	1	no	—
994	#469	—	13	1	no	—
995	#469	—	13	1	no	—
996	#469	—	13	1	no	—
997	#468	—	13	1	no	—
998	#468	—	13	1	no	—
999	#468	—	13	1	no	—
1000	#468	—	13	1	no	—
1001	#467	—	13	1	no	—
1002	#466	—	13	1	no	—
1003	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
1004	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
1005	#465	—	13	1	no	—
1006	#465	—	13	1	no	—
1007	#465	—	13	1	no	—
1008	#465	—	13	1	no	—
1009	#464	—	13	1	no	—
1010	#464	—	13	1	no	—
1011	#463	—	13	1	no	—
1012	#463	—	13	1	no	—
1013	#462	—	13	1	no	—
1014	#461	—	13	1	no	—
1015	#460	—	13	1	no	—
1016	#460	C₂×D₁₃	1	1	yes	characteristic, complemented
1017	#460	C₂×D₁₃	1	1	yes	characteristic, complemented
1018	#459	—	13	1	no	—
1019	#459	—	13	1	no	—
1020	#459	—	13	1	no	—
1021	#452	—	13	1	no	—
1022	#452	—	13	1	no	—
1023	#452	—	13	1	no	—
1024	#452	—	13	1	no	—
1025	#452	—	13	1	no	—
1026	#452	—	13	1	no	—
1027	#452	—	13	1	no	—
1028	#452	—	13	1	no	—
1029	#452	—	13	1	no	—
1030	#452	—	13	1	no	—
1031	#451	—	13	1	no	—
1032	#450	—	13	1	no	—
1033	#450	—	13	1	no	—
1034	#450	—	13	1	no	—
1035	#450	—	13	1	no	—
1036	#450	—	13	1	no	—
1037	#449	—	13	1	no	—
1038	#449	—	13	1	no	—
1039	#449	—	13	1	no	—
1040	#449	—	13	1	no	—
1041	#449	—	13	1	no	—
1042	#449	—	13	1	no	—
1043	#449	—	13	1	no	—
1044	#449	—	13	1	no	—
1045	#449	—	13	1	no	—
1046	#449	—	13	1	no	—
1047	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1048	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1049	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1050	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1051	#448	—	13	1	no	—
1052	#447	—	13	1	no	—
1053	#447	—	13	1	no	—
1054	#447	—	13	1	no	—
1055	#447	—	13	1	no	—
1056	#447	—	13	1	no	—
1057	#442	—	13	1	no	—
1058	#441	—	13	1	no	—
1059	#440	—	13	1	no	—
1060	#440	—	13	1	no	—
1061	C₄×Q₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1062	C₄×SD₁₆	—	13	1	no	—
1063	C₄×SD₁₆	—	13	1	no	—
1064	C₄×D₈	—	13	1	no	—
1065	#436	—	13	1	no	—
1066	#436	—	13	1	no	—
1067	#435	—	13	1	no	—
1068	#435	—	13	1	no	—
1069	#435	—	13	1	no	—
1070	#435	—	13	1	no	—
1071	C₈×D₄	—	13	1	no	—
1072	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1073	#433	—	13	1	no	—
1074	#433	—	13	1	no	—
1075	#419	—	13	1	no	—
1076	#418	—	13	1	no	—
1077	#417	—	13	1	no	—
1078	#417	—	13	1	no	—
1079	#416	—	13	1	no	—
1080	#416	—	13	1	no	—
1081	C₂×#102	—	13	1	no	—
1082	C₂×#102	—	13	1	no	—
1083	#408	—	13	1	no	—
1084	#408	—	13	1	no	—
1085	#407	—	13	1	no	—
1086	C₂×C₂²⋊C₈	—	13	1	no	—
1087	C₂²×C₁₃	—	2	1	no	—
1088	C₂²×C₁₃	—	2	1	no	—
1089	C₂²×C₁₃	—	2	1	no	—
1090	C₂²×C₁₃	—	2	1	no	—
1091	C₂²×C₁₃	—	2	1	no	—
1092	C₂²×C₁₃	—	2	1	no	—
1093	C₂²×C₁₃	—	4	1	no	—
1094	C₂²×C₁₃	—	4	1	no	—
1095	C₂²×C₁₃	—	4	1	no	—
1096	C₂²×C₁₃	—	4	1	no	—
1097	C₂²×C₁₃	—	4	1	no	—
1098	C₂²×C₁₃	—	4	1	no	—
1099	C₂²×C₁₃	—	4	1	no	—
1100	C₂²×C₁₃	—	4	1	no	—
1101	C₂²×C₁₃	—	4	1	no	—
1102	C₂²×C₁₃	—	4	1	no	—
1103	C₂²×C₁₃	—	4	1	no	—
1104	C₂²×C₁₃	—	4	1	no	—
1105	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1106	C₂×D₁₃	—	2	1	no	—
1107	C₂×D₁₃	—	2	1	no	—
1108	C₂×D₁₃	—	2	1	no	—
1109	C₂×D₁₃	—	2	1	no	—
1110	C₂×D₁₃	—	2	1	no	—
1111	C₂×D₁₃	—	2	1	no	—
1112	C₂×D₁₃	—	2	1	no	—
1113	C₂×D₁₃	—	2	1	no	—
1114	C₂×D₁₃	—	2	2	no	—
1115	C₂×D₁₃	—	2	1	no	—
1116	C₂×D₁₃	—	4	1	no	—
1117	C₂×D₁₃	—	4	1	no	—
1118	C₂×D₁₃	—	4	1	no	—
1119	C₂×D₁₃	—	4	1	no	—
1120	C₂×D₁₃	—	4	1	no	—
1121	C₂×D₁₃	—	8	2	no	—
1122	C₂×D₁₃	—	8	4	no	—
1123	C₂×D₁₃	—	16	2	no	—
1124	C₂×D₁₃	—	16	2	no	—
1125	C₂×D₁₃	—	16	2	no	—
1126	C₄×C₁₃	—	2	1	no	—
1127	C₄×C₁₃	—	2	1	no	—
1128	C₄×C₁₃	—	2	2	no	—
1129	C₄×C₁₃	—	2	1	no	—
1130	C₄×C₁₃	—	2	1	no	—
1131	C₄×C₁₃	—	4	1	no	—
1132	C₄×C₁₃	—	4	1	no	—
1133	C₄×C₁₃	—	4	1	no	—
1134	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1135	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1136	Dic₁₃	—	2	1	no	—
1137	Dic₁₃	—	2	1	no	—
1138	Dic₁₃	—	2	1	no	—
1139	Dic₁₃	—	2	1	no	—
1140	Dic₁₃	—	2	1	no	—
1141	Dic₁₃	—	4	1	no	—
1142	Dic₁₃	—	4	1	no	—
1143	Dic₁₃	—	4	1	no	—
1144	Dic₁₃	—	4	1	no	—
1145	Dic₁₃	—	4	1	no	—
1146	Dic₁₃	—	4	1	no	—
1147	H(5,𝔽₂)	—	52	2	no	—
1148	H(5,𝔽₂)	—	52	2	no	—
1149	C₂×#41	—	13	1	no	—
1150	C₂×#41	—	13	1	no	—
1151	C₂×#41	—	13	1	no	—
1152	C₂×#41	—	13	1	no	—
1153	C₂×#41	—	13	1	no	—
1154	C₂×#41	—	13	1	no	—
1155	C₂×#41	—	13	1	no	—
1156	C₂×#41	—	26	1	no	—
1157	C₂×#41	—	26	1	no	—
1158	C₂×#41	—	26	1	no	—
1159	C₂×#41	—	52	2	no	—
1160	C₂×#41	—	52	2	no	—
1161	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1162	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1163	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1164	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1165	C₂²×Q₈	—	13	1	no	—
1166	C₂²×D₄	—	13	1	no	—
1167	C₂²×D₄	—	13	1	no	—
1168	C₂²×D₄	—	13	1	no	—
1169	C₂²×D₄	—	13	1	no	—
1170	C₂²×D₄	—	26	1	no	—
1171	C₂²×D₄	—	26	1	no	—
1172	C₂²×D₄	—	26	1	no	—
1173	C₂²×D₄	—	26	1	no	—
1174	C₂²×D₄	—	26	1	no	—
1175	C₂²×D₄	—	26	1	no	—
1176	C₂²×D₄	—	26	1	no	—
1177	C₂³×C₄	—	13	1	no	—
1178	C₂³×C₄	—	26	1	no	—
1179	#137	—	52	2	no	—
1180	AGL(1,ℤ/8)	—	52	2	no	—
1181	AGL(1,ℤ/8)	—	52	2	no	—
1182	AGL(1,ℤ/8)	—	52	2	no	—
1183	#135	—	4	2	no	—
1184	#135	—	4	2	no	—
1185	#135	—	52	2	no	—
1186	#135	—	52	2	no	—
1187	C₂×Q₁₆	—	13	1	no	—
1188	C₂×Q₁₆	—	13	1	no	—
1189	C₂×Q₁₆	—	13	1	no	—
1190	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1191	C₂×SD₁₆	—	13	1	no	—
1192	C₂×SD₁₆	—	13	1	no	—
1193	C₂×SD₁₆	—	13	1	no	—
1194	C₂×SD₁₆	—	13	1	no	—
1195	C₂×SD₁₆	—	13	1	no	—
1196	C₂×SD₁₆	—	13	1	no	—
1197	C₂×SD₁₆	—	13	1	no	—
1198	C₂×SD₁₆	—	13	1	no	—
1199	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1200	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1201	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1202	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1203	C₂×D₈	—	13	1	no	—
1204	C₂×D₈	—	13	1	no	—
1205	C₂×D₈	—	13	1	no	—
1206	C₂×D₈	—	13	1	no	—
1207	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1208	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1209	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1210	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1211	C₂×M₁₆	—	13	1	no	—
1212	C₂×M₁₆	—	13	1	no	—
1213	C₂×M₁₆	—	13	1	no	—
1214	C₂×M₁₆	—	13	1	no	—
1215	C₂²×C₈	—	13	1	no	—
1216	C₂²×C₈	—	13	1	no	—
1217	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1218	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1219	C₄⋊Q₈	—	13	1	no	—
1220	#127	—	2	1	no	—
1221	#127	—	2	1	no	—
1222	#127	—	13	1	no	—
1223	#127	—	26	1	no	—
1224	#127	—	26	1	no	—
1225	#127	C₂²×D₁₃	1	1	yes	characteristic
1226	#127	C₂²×D₁₃	1	1	yes	characteristic
1227	#126	—	26	1	no	—
1228	#126	—	26	1	no	—
1229	#126	—	26	1	no	—
1230	#126	—	26	1	no	—
1231	#126	—	26	1	no	—
1232	#126	—	26	1	no	—
1233	#125	—	13	1	no	—
1234	#125	—	13	1	no	—
1235	#125	—	26	1	no	—
1236	#125	—	26	1	no	—
1237	#125	—	26	1	no	—
1238	#125	—	26	1	no	—
1239	#124	—	13	1	no	—
1240	#124	—	13	1	no	—
1241	#124	—	26	1	no	—
1242	#124	—	26	1	no	—
1243	#123	—	13	1	no	—
1244	#123	—	13	1	no	—
1245	#123	—	26	1	no	—
1246	#123	—	26	1	no	—
1247	#123	—	26	1	no	—
1248	#123	—	26	1	no	—
1249	#123	—	26	1	no	—
1250	#123	—	26	1	no	—
1251	#123	—	26	1	no	—
1252	#123	—	26	1	no	—
1253	#123	—	26	1	no	—
1254	#123	—	26	1	no	—
1255	#123	—	26	1	no	—
1256	#123	—	26	1	no	—
1257	#123	—	26	1	no	—
1258	#123	—	26	1	no	—
1259	C₂²⋊Q₈	—	13	1	no	—
1260	C₂²⋊Q₈	—	13	1	no	—
1261	C₂²⋊Q₈	—	13	1	no	—
1262	C₂²⋊Q₈	—	13	1	no	—
1263	C₂²⋊Q₈	—	13	1	no	—
1264	C₂²⋊Q₈	—	13	1	no	—
1265	C₂²⋊Q₈	—	13	1	no	—
1266	C₂²⋊Q₈	—	13	1	no	—
1267	C₂²⋊Q₈	—	13	1	no	—
1268	C₂²⋊Q₈	—	13	1	no	—
1269	C₂²⋊Q₈	—	26	1	no	—
1270	C₂²⋊Q₈	—	26	1	no	—
1271	C₂²⋊Q₈	—	26	1	no	—
1272	C₂²⋊Q₈	—	26	1	no	—
1273	C₂²⋊Q₈	—	26	1	no	—
1274	#121	—	2	1	no	—
1275	#121	—	2	1	no	—
1276	#121	—	2	1	no	—
1277	#121	—	2	1	no	—
1278	#121	—	13	1	no	—
1279	#121	—	13	1	no	—
1280	#121	—	13	1	no	—
1281	#121	—	13	1	no	—
1282	#121	—	13	1	no	—
1283	#121	—	13	1	no	—
1284	#121	—	13	1	no	—
1285	#121	—	13	1	no	—
1286	#121	—	13	1	no	—
1287	#121	—	13	1	no	—
1288	#121	—	26	1	no	—
1289	#121	—	26	1	no	—
1290	#121	—	26	1	no	—
1291	#121	—	26	1	no	—
1292	#121	—	26	1	no	—
1293	#121	—	26	1	no	—
1294	#121	—	26	1	no	—
1295	#121	—	26	1	no	—
1296	#121	—	26	1	no	—
1297	#121	—	26	1	no	—
1298	#121	—	26	1	no	—
1299	#121	—	26	1	no	—
1300	#121	—	26	1	no	—
1301	#121	—	26	1	no	—
1302	#121	—	26	1	no	—
1303	#121	—	26	1	no	—
1304	#121	—	26	1	no	—
1305	#121	—	26	1	no	—
1306	#121	—	26	1	no	—
1307	#121	—	26	1	no	—
1308	#121	—	26	1	no	—
1309	#121	—	26	1	no	—
1310	#121	—	26	1	no	—
1311	#121	—	26	1	no	—
1312	#121	—	26	1	no	—
1313	#121	—	26	1	no	—
1314	#121	—	26	1	no	—
1315	#121	—	26	1	no	—
1316	#121	—	26	1	no	—
1317	#121	C₂²×D₁₃	1	1	yes	characteristic
1318	#121	C₂²×D₁₃	1	1	yes	characteristic
1319	#121	C₂²×D₁₃	1	1	yes	characteristic
1320	#121	C₂²×D₁₃	1	1	yes	characteristic
1321	#120	—	13	1	no	—
1322	#120	—	13	1	no	—
1323	#120	—	26	1	no	—
1324	#120	—	26	1	no	—
1325	#120	—	26	1	no	—
1326	#120	—	26	1	no	—
1327	#120	—	26	1	no	—
1328	#120	—	26	1	no	—
1329	#120	—	26	1	no	—
1330	#120	—	26	1	no	—
1331	#120	—	26	1	no	—
1332	#120	—	26	1	no	—
1333	C₄×Q₈	—	13	1	no	—
1334	C₄×Q₈	—	13	1	no	—
1335	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1336	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1337	C₄×D₄	—	2	1	no	—
1338	C₄×D₄	—	2	1	no	—
1339	C₄×D₄	—	13	1	no	—
1340	C₄×D₄	—	13	1	no	—
1341	C₄×D₄	—	13	1	no	—
1342	C₄×D₄	—	13	1	no	—
1343	C₄×D₄	—	13	1	no	—
1344	C₄×D₄	—	13	1	no	—
1345	C₄×D₄	—	13	1	no	—
1346	C₄×D₄	—	26	1	no	—
1347	C₄×D₄	—	26	1	no	—
1348	C₄×D₄	—	26	1	no	—
1349	C₄×D₄	—	26	1	no	—
1350	C₄×D₄	—	26	1	no	—
1351	C₄×D₄	—	26	1	no	—
1352	C₄×D₄	—	26	1	no	—
1353	C₄×D₄	—	26	1	no	—
1354	C₄×D₄	—	26	1	no	—
1355	C₄×D₄	—	26	1	no	—
1356	C₄×D₄	—	26	1	no	—
1357	C₄×D₄	—	26	1	no	—
1358	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1359	#117	—	13	1	no	—
1360	#117	—	13	1	no	—
1361	#117	—	13	1	no	—
1362	#117	—	26	1	no	—
1363	#117	—	26	1	no	—
1364	#117	—	26	1	no	—
1365	C₂×C₄⋊C₄	—	13	1	no	—
1366	C₂×C₄⋊C₄	—	13	1	no	—
1367	C₂×C₄⋊C₄	—	13	1	no	—
1368	C₂×C₄⋊C₄	—	26	1	no	—
1369	C₂×C₄⋊C₄	—	26	1	no	—
1370	C₂×C₄⋊C₄	—	26	1	no	—
1371	C₂×C₂²⋊C₄	—	26	1	no	—
1372	C₂×C₂²⋊C₄	—	26	1	no	—
1373	C₂×C₂²⋊C₄	—	26	1	no	—
1374	#107	—	13	1	no	—
1375	#107	—	13	1	no	—
1376	#107	—	13	1	no	—
1377	#107	C₂²×D₁₃	1	1	yes	characteristic
1378	#106	—	13	1	no	—
1379	#106	—	13	1	no	—
1380	#106	—	13	1	no	—
1381	#106	—	13	1	no	—
1382	C₄⋊C₈	—	13	1	no	—
1383	C₄⋊C₈	—	13	1	no	—
1384	C₄⋊C₈	—	13	1	no	—
1385	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1386	#103	—	13	1	no	—
1387	#103	—	13	1	no	—
1388	#103	—	13	1	no	—
1389	#103	—	13	1	no	—
1390	#103	—	13	1	no	—
1391	#103	—	13	1	no	—
1392	#103	—	13	1	no	—
1393	#103	—	13	1	no	—
1394	#103	—	13	1	no	—
1395	#103	—	13	1	no	—
1396	#103	C₂²×D₁₃	1	1	yes	characteristic
1397	#103	C₂²×D₁₃	1	1	yes	characteristic
1398	#102	—	13	1	no	—
1399	#102	—	13	1	no	—
1400	#102	—	13	1	no	—
1401	#102	—	13	1	no	—
1402	#102	—	13	1	no	—
1403	#102	—	13	1	no	—
1404	#102	—	13	1	no	—
1405	#102	—	13	1	no	—
1406	#102	—	13	1	no	—
1407	#102	—	13	1	no	—
1408	#102	—	13	1	no	—
1409	#102	—	13	1	no	—
1410	#102	—	13	1	no	—
1411	#102	—	13	1	no	—
1412	#102	—	13	1	no	—
1413	#102	—	13	1	no	—
1414	#102	C₂²×D₁₃	1	1	yes	characteristic
1415	#102	C₂²×D₁₃	1	1	yes	characteristic
1416	#102	C₂²×D₁₃	1	1	yes	characteristic
1417	#102	C₂²×D₁₃	1	1	yes	characteristic
1418	C₂²⋊C₈	—	13	1	no	—
1419	C₂²⋊C₈	—	13	1	no	—
1420	C₂²⋊C₈	—	13	1	no	—
1421	C₂²⋊C₈	—	13	1	no	—
1422	C₂²⋊C₈	—	13	1	no	—
1423	C₂²⋊C₈	—	13	1	no	—
1424	C₂²⋊C₈	—	13	1	no	—
1425	C₂²⋊C₈	—	13	1	no	—
1426	C₂²⋊C₈	—	13	1	no	—
1427	C₂²⋊C₈	—	13	1	no	—
1428	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1429	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1430	#97	—	13	1	no	—
1431	#97	—	13	1	no	—
1432	C₄×C₈	—	13	1	no	—
1433	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1434	C₂×C₁₃	—	4	1	no	—
1435	C₂×C₁₃	—	4	1	no	—
1436	C₂×C₁₃	—	8	1	no	—
1437	C₂×C₁₃	—	8	1	no	—
1438	C₂×C₁₃	—	8	1	no	—
1439	C₂×C₁₃	—	8	1	no	—
1440	C₂×C₁₃	#3484	1	1	yes	characteristic
1441	C₂×C₁₃	#3584	1	1	yes	characteristic
1442	C₂×C₁₃	#3585	1	1	yes	characteristic
1443	D₁₃	—	4	1	no	—
1444	D₁₃	—	4	1	no	—
1445	D₁₃	—	4	1	no	—
1446	D₁₃	—	4	2	no	—
1447	D₁₃	—	8	1	no	—
1448	C₂⁴	—	13	1	no	—
1449	C₂⁴	—	26	1	no	—
1450	C₂⁴	—	26	1	no	—
1451	C₂⁴	—	26	1	no	—
1452	C₂⁴	—	26	1	no	—
1453	#41	—	2	2	no	—
1454	#41	—	2	2	no	—
1455	#41	—	4	1	no	—
1456	#41	—	4	1	no	—
1457	#41	—	4	1	no	—
1458	#41	—	4	1	no	—
1459	#41	—	4	1	no	—
1460	#41	—	4	1	no	—
1461	#41	—	26	2	no	—
1462	#41	—	26	2	no	—
1463	#41	—	26	2	no	—
1464	#41	—	26	2	no	—
1465	#41	—	52	1	no	—
1466	#41	—	52	1	no	—
1467	#41	—	52	1	no	—
1468	#41	—	52	4	no	—
1469	#41	—	52	4	no	—
1470	#41	—	52	1	no	—
1471	#41	—	52	1	no	—
1472	#41	—	52	4	no	—
1473	#41	—	52	1	no	—
1474	#41	—	52	1	no	—
1475	#41	—	52	1	no	—
1476	#41	—	52	1	no	—
1477	#41	—	52	1	no	—
1478	C₂×Q₈	—	13	1	no	—
1479	C₂×Q₈	—	13	1	no	—
1480	C₂×Q₈	—	13	1	no	—
1481	C₂×Q₈	—	26	1	no	—
1482	C₂×Q₈	—	26	2	no	—
1483	C₂×Q₈	—	52	1	no	—
1484	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1485	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1486	C₂×D₄	—	2	1	no	—
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	2	1	no	—
1489	C₂×D₄	—	2	1	no	—
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	2	1	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	13	1	no	—
1499	C₂×D₄	—	13	1	no	—
1500	C₂×D₄	—	13	1	no	—
1501	C₂×D₄	—	13	1	no	—
1502	C₂×D₄	—	13	1	no	—
1503	C₂×D₄	—	13	1	no	—
1504	C₂×D₄	—	13	1	no	—
1505	C₂×D₄	—	13	1	no	—
1506	C₂×D₄	—	26	2	no	—
1507	C₂×D₄	—	26	1	no	—
1508	C₂×D₄	—	26	1	no	—
1509	C₂×D₄	—	26	1	no	—
1510	C₂×D₄	—	26	1	no	—
1511	C₂×D₄	—	26	1	no	—
1512	C₂×D₄	—	26	1	no	—
1513	C₂×D₄	—	26	1	no	—
1514	C₂×D₄	—	26	1	no	—
1515	C₂×D₄	—	26	2	no	—
1516	C₂×D₄	—	26	2	no	—
1517	C₂×D₄	—	26	1	no	—
1518	C₂×D₄	—	26	1	no	—
1519	C₂×D₄	—	26	1	no	—
1520	C₂×D₄	—	26	1	no	—
1521	C₂×D₄	—	26	1	no	—
1522	C₂×D₄	—	26	1	no	—
1523	C₂×D₄	—	26	1	no	—
1524	C₂×D₄	—	26	1	no	—
1525	C₂×D₄	—	26	1	no	—
1526	C₂×D₄	—	26	1	no	—
1527	C₂×D₄	—	26	1	no	—
1528	C₂×D₄	—	26	1	no	—
1529	C₂×D₄	—	52	1	no	—
1530	C₂×D₄	—	52	4	no	—
1531	C₂×D₄	—	52	1	no	—
1532	C₂×D₄	—	52	1	no	—
1533	C₂×D₄	—	52	1	no	—
1534	C₂×D₄	—	52	1	no	—
1535	C₂×D₄	—	52	4	no	—
1536	C₂×D₄	—	52	4	no	—
1537	C₂×D₄	—	52	4	no	—
1538	C₂×D₄	—	104	2	no	—
1539	C₂×D₄	—	104	2	no	—
1540	C₂×D₄	—	104	2	no	—
1541	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1542	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1543	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1544	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1545	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1546	C₂²×C₄	—	2	1	no	—
1547	C₂²×C₄	—	2	1	no	—
1548	C₂²×C₄	—	2	1	no	—
1549	C₂²×C₄	—	2	1	no	—
1550	C₂²×C₄	—	13	1	no	—
1551	C₂²×C₄	—	13	1	no	—
1552	C₂²×C₄	—	13	1	no	—
1553	C₂²×C₄	—	13	1	no	—
1554	C₂²×C₄	—	13	1	no	—
1555	C₂²×C₄	—	13	1	no	—
1556	C₂²×C₄	—	26	1	no	—
1557	C₂²×C₄	—	26	1	no	—
1558	C₂²×C₄	—	26	1	no	—
1559	C₂²×C₄	—	26	1	no	—
1560	C₂²×C₄	—	26	1	no	—
1561	C₂²×C₄	—	26	1	no	—
1562	C₂²×C₄	—	26	1	no	—
1563	C₂²×C₄	—	26	1	no	—
1564	C₂²×C₄	—	26	1	no	—
1565	C₂²×C₄	—	26	1	no	—
1566	C₂²×C₄	—	26	1	no	—
1567	C₂²×C₄	—	26	1	no	—
1568	C₂²×C₄	—	26	1	no	—
1569	C₂²×C₄	—	26	1	no	—
1570	C₂²×C₄	—	52	1	no	—
1571	C₂²×C₄	—	52	1	no	—
1572	C₂²×C₄	—	52	4	no	—
1573	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1574	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1575	Q₁₆	—	2	2	no	—
1576	Q₁₆	—	26	2	no	—
1577	Q₁₆	—	52	1	no	—
1578	Q₁₆	—	52	1	no	—
1579	SD₁₆	—	2	2	no	—
1580	SD₁₆	—	2	2	no	—
1581	SD₁₆	—	4	1	no	—
1582	SD₁₆	—	4	1	no	—
1583	SD₁₆	—	26	2	no	—
1584	SD₁₆	—	26	2	no	—
1585	SD₁₆	—	52	1	no	—
1586	SD₁₆	—	52	1	no	—
1587	SD₁₆	—	52	1	no	—
1588	SD₁₆	—	52	1	no	—
1589	SD₁₆	—	52	1	no	—
1590	SD₁₆	—	52	1	no	—
1591	D₈	—	4	1	no	—
1592	D₈	—	4	1	no	—
1593	D₈	—	4	1	no	—
1594	D₈	—	4	1	no	—
1595	D₈	—	26	2	no	—
1596	D₈	—	26	2	no	—
1597	D₈	—	52	1	no	—
1598	D₈	—	52	1	no	—
1599	M₁₆	—	52	1	no	—
1600	M₁₆	—	52	1	no	—
1601	M₁₆	—	52	1	no	—
1602	M₁₆	—	52	1	no	—
1603	C₂×C₈	—	4	1	no	—
1604	C₂×C₈	—	4	1	no	—
1605	C₂×C₈	—	13	1	no	—
1606	C₂×C₈	—	13	1	no	—
1607	C₂×C₈	—	13	1	no	—
1608	C₂×C₈	—	13	1	no	—
1609	C₂×C₈	—	52	1	no	—
1610	C₂×C₈	—	52	1	no	—
1611	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1612	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1613	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1614	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1615	C₄⋊C₄	—	2	1	no	—
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	—	13	1	no	—
1618	C₄⋊C₄	—	13	1	no	—
1619	C₄⋊C₄	—	13	1	no	—
1620	C₄⋊C₄	—	13	1	no	—
1621	C₄⋊C₄	—	13	1	no	—
1622	C₄⋊C₄	—	13	1	no	—
1623	C₄⋊C₄	—	13	1	no	—
1624	C₄⋊C₄	—	13	1	no	—
1625	C₄⋊C₄	—	13	1	no	—
1626	C₄⋊C₄	—	26	1	no	—
1627	C₄⋊C₄	—	26	1	no	—
1628	C₄⋊C₄	—	26	1	no	—
1629	C₄⋊C₄	—	26	1	no	—
1630	C₄⋊C₄	—	26	1	no	—
1631	C₄⋊C₄	—	26	1	no	—
1632	C₄⋊C₄	—	26	1	no	—
1633	C₄⋊C₄	—	26	1	no	—
1634	C₄⋊C₄	—	26	1	no	—
1635	C₄⋊C₄	—	26	1	no	—
1636	C₄⋊C₄	—	26	1	no	—
1637	C₄⋊C₄	—	26	1	no	—
1638	C₄⋊C₄	—	26	1	no	—
1639	C₄⋊C₄	—	26	1	no	—
1640	C₄⋊C₄	—	26	1	no	—
1641	C₄⋊C₄	—	26	1	no	—
1642	C₄⋊C₄	—	26	1	no	—
1643	C₄⋊C₄	—	26	1	no	—
1644	C₄⋊C₄	—	26	1	no	—
1645	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1646	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1647	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	2	1	no	—
1651	C₂²⋊C₄	—	2	1	no	—
1652	C₂²⋊C₄	—	13	1	no	—
1653	C₂²⋊C₄	—	13	1	no	—
1654	C₂²⋊C₄	—	13	1	no	—
1655	C₂²⋊C₄	—	13	1	no	—
1656	C₂²⋊C₄	—	13	1	no	—
1657	C₂²⋊C₄	—	13	1	no	—
1658	C₂²⋊C₄	—	13	1	no	—
1659	C₂²⋊C₄	—	13	1	no	—
1660	C₂²⋊C₄	—	26	1	no	—
1661	C₂²⋊C₄	—	26	1	no	—
1662	C₂²⋊C₄	—	26	1	no	—
1663	C₂²⋊C₄	—	26	1	no	—
1664	C₂²⋊C₄	—	26	1	no	—
1665	C₂²⋊C₄	—	26	1	no	—
1666	C₂²⋊C₄	—	26	1	no	—
1667	C₂²⋊C₄	—	26	1	no	—
1668	C₂²⋊C₄	—	26	1	no	—
1669	C₂²⋊C₄	—	26	1	no	—
1670	C₂²⋊C₄	—	26	1	no	—
1671	C₂²⋊C₄	—	26	1	no	—
1672	C₂²⋊C₄	—	26	1	no	—
1673	C₂²⋊C₄	—	26	1	no	—
1674	C₂²⋊C₄	—	26	1	no	—
1675	C₂²⋊C₄	—	26	1	no	—
1676	C₂²⋊C₄	—	26	1	no	—
1677	C₂²⋊C₄	—	26	1	no	—
1678	C₂²⋊C₄	—	26	1	no	—
1679	C₂²⋊C₄	—	26	1	no	—
1680	C₂²⋊C₄	—	26	1	no	—
1681	C₂²⋊C₄	—	26	1	no	—
1682	C₂²⋊C₄	—	26	1	no	—
1683	C₂²⋊C₄	—	26	1	no	—
1684	C₂²⋊C₄	—	26	1	no	—
1685	C₂²⋊C₄	—	26	1	no	—
1686	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1687	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1688	C₄²	—	2	1	no	—
1689	C₄²	—	2	1	no	—
1690	C₄²	—	13	1	no	—
1691	C₄²	—	26	1	no	—
1692	C₄²	—	26	1	no	—
1693	C₄²	—	26	1	no	—
1694	C₄²	—	26	1	no	—
1695	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1696	C₁₃	#61628	1	1	yes	characteristic, complemented, Sylow
1697	C₂³	—	2	1	no	—
1698	C₂³	—	2	1	no	—
1699	C₂³	—	2	1	no	—
1700	C₂³	—	2	1	no	—
1701	C₂³	—	13	1	no	—
1702	C₂³	—	13	1	no	—
1703	C₂³	—	13	1	no	—
1704	C₂³	—	26	1	no	—
1705	C₂³	—	26	1	no	—
1706	C₂³	—	52	1	no	—
1707	C₂³	—	52	1	no	—
1708	C₂³	—	52	1	no	—
1709	C₂³	—	52	2	no	—
1710	C₂³	—	52	2	no	—
1711	C₂³	—	52	2	no	—
1712	C₂³	—	52	2	no	—
1713	C₂³	—	52	2	no	—
1714	C₂³	—	104	1	no	—
1715	C₂³	—	104	1	no	—
1716	C₂³	—	104	1	no	—
1717	C₂³	—	104	1	no	—
1718	C₂³	—	104	1	no	—
1719	C₂³	—	104	1	no	—
1720	C₂³	—	104	1	no	—
1721	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1722	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1723	Q₈	—	2	1	no	—
1724	Q₈	—	2	1	no	—
1725	Q₈	—	2	1	no	—
1726	Q₈	—	26	1	no	—
1727	Q₈	—	26	1	no	—
1728	Q₈	—	26	1	no	—
1729	Q₈	—	26	1	no	—
1730	Q₈	—	52	1	no	—
1731	Q₈	—	52	2	no	—
1732	Q₈	#88251	1	2	yes	—
1733	D₄	—	2	1	no	—
1734	D₄	—	2	1	no	—
1735	D₄	—	2	1	no	—
1736	D₄	—	2	1	no	—
1737	D₄	—	2	1	no	—
1738	D₄	—	2	1	no	—
1739	D₄	—	2	1	no	—
1740	D₄	—	2	1	no	—
1741	D₄	—	4	1	no	—
1742	D₄	—	4	2	no	—
1743	D₄	—	4	2	no	—
1744	D₄	—	8	1	no	—
1745	D₄	—	8	1	no	—
1746	D₄	—	8	1	no	—
1747	D₄	—	8	1	no	—
1748	D₄	—	8	1	no	—
1749	D₄	—	8	1	no	—
1750	D₄	—	8	1	no	—
1751	D₄	—	8	1	no	—
1752	D₄	—	8	1	no	—
1753	D₄	—	8	1	no	—
1754	D₄	—	13	2	no	—
1755	D₄	—	26	4	no	—
1756	D₄	—	26	1	no	—
1757	D₄	—	26	1	no	—
1758	D₄	—	26	1	no	—
1759	D₄	—	52	1	no	—
1760	D₄	—	52	1	no	—
1761	D₄	—	52	2	no	—
1762	D₄	—	52	2	no	—
1763	D₄	—	52	2	no	—
1764	D₄	—	52	1	no	—
1765	D₄	—	52	1	no	—
1766	D₄	—	52	1	no	—
1767	D₄	—	52	1	no	—
1768	D₄	—	52	2	no	—
1769	D₄	—	52	2	no	—
1770	D₄	—	52	2	no	—
1771	D₄	—	52	2	no	—
1772	D₄	—	52	2	no	—
1773	D₄	—	52	2	no	—
1774	D₄	—	104	1	no	—
1775	D₄	—	104	1	no	—
1776	D₄	—	104	1	no	—
1777	D₄	—	104	1	no	—
1778	D₄	—	104	1	no	—
1779	D₄	—	104	1	no	—
1780	D₄	—	104	1	no	—
1781	D₄	—	104	1	no	—
1782	D₄	—	104	1	no	—
1783	D₄	—	104	1	no	—
1784	C₂×C₄	—	2	1	no	—
1785	C₂×C₄	—	2	1	no	—
1786	C₂×C₄	—	2	1	no	—
1787	C₂×C₄	—	2	1	no	—
1788	C₂×C₄	—	2	1	no	—
1789	C₂×C₄	—	2	1	no	—
1790	C₂×C₄	—	2	1	no	—
1791	C₂×C₄	—	2	1	no	—
1792	C₂×C₄	—	4	2	no	—
1793	C₂×C₄	—	4	2	no	—
1794	C₂×C₄	—	8	1	no	—
1795	C₂×C₄	—	8	1	no	—
1796	C₂×C₄	—	13	1	no	—
1797	C₂×C₄	—	13	1	no	—
1798	C₂×C₄	—	13	1	no	—
1799	C₂×C₄	—	13	1	no	—
1800	C₂×C₄	—	13	1	no	—
1801	C₂×C₄	—	26	4	no	—
1802	C₂×C₄	—	26	1	no	—
1803	C₂×C₄	—	26	1	no	—
1804	C₂×C₄	—	26	1	no	—
1805	C₂×C₄	—	26	1	no	—
1806	C₂×C₄	—	26	1	no	—
1807	C₂×C₄	—	26	1	no	—
1808	C₂×C₄	—	26	1	no	—
1809	C₂×C₄	—	26	1	no	—
1810	C₂×C₄	—	26	1	no	—
1811	C₂×C₄	—	26	1	no	—
1812	C₂×C₄	—	26	1	no	—
1813	C₂×C₄	—	26	1	no	—
1814	C₂×C₄	—	52	1	no	—
1815	C₂×C₄	—	52	1	no	—
1816	C₂×C₄	—	52	2	no	—
1817	C₂×C₄	—	52	2	no	—
1818	C₂×C₄	—	52	2	no	—
1819	C₂×C₄	—	52	1	no	—
1820	C₂×C₄	—	52	2	no	—
1821	C₂×C₄	—	104	1	no	—
1822	C₂×C₄	—	104	1	no	—
1823	C₂×C₄	—	104	1	no	—
1824	C₂×C₄	—	104	1	no	—
1825	C₂×C₄	—	104	1	no	—
1826	C₂×C₄	—	104	1	no	—
1827	C₂×C₄	—	104	1	no	—
1828	C₂×C₄	—	104	1	no	—
1829	C₂×C₄	—	104	1	no	—
1830	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1831	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1832	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1833	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1834	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1835	C₈	—	2	1	no	—
1836	C₈	—	2	1	no	—
1837	C₈	—	2	1	no	—
1838	C₈	—	2	1	no	—
1839	C₈	—	26	1	no	—
1840	C₈	—	26	1	no	—
1841	C₈	—	26	1	no	—
1842	C₈	—	26	1	no	—
1843	C₂²	—	2	1	no	—
1844	C₂²	—	2	1	no	—
1845	C₂²	—	2	1	no	—
1846	C₂²	—	2	1	no	—
1847	C₂²	—	2	1	no	—
1848	C₂²	—	2	1	no	—
1849	C₂²	—	4	1	no	—
1850	C₂²	—	4	1	no	—
1851	C₂²	—	4	1	no	—
1852	C₂²	—	4	1	no	—
1853	C₂²	—	4	1	no	—
1854	C₂²	—	4	1	no	—
1855	C₂²	—	4	1	no	—
1856	C₂²	—	4	1	no	—
1857	C₂²	—	4	1	no	—
1858	C₂²	—	4	1	no	—
1859	C₂²	—	4	1	no	—
1860	C₂²	—	4	1	no	—
1861	C₂²	—	26	1	no	—
1862	C₂²	—	26	2	no	—
1863	C₂²	—	26	1	no	—
1864	C₂²	—	26	1	no	—
1865	C₂²	—	26	1	no	—
1866	C₂²	—	26	1	no	—
1867	C₂²	—	26	1	no	—
1868	C₂²	—	26	1	no	—
1869	C₂²	—	26	1	no	—
1870	C₂²	—	26	1	no	—
1871	C₂²	—	52	1	no	—
1872	C₂²	—	52	1	no	—
1873	C₂²	—	52	1	no	—
1874	C₂²	—	52	1	no	—
1875	C₂²	—	52	1	no	—
1876	C₂²	—	104	2	no	—
1877	C₂²	—	104	4	no	—
1878	C₂²	—	208	2	no	—
1879	C₂²	—	208	2	no	—
1880	C₂²	—	208	2	no	—
1881	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1882	C₄	—	2	1	no	—
1883	C₄	—	2	1	no	—
1884	C₄	—	2	2	no	—
1885	C₄	—	2	1	no	—
1886	C₄	—	2	1	no	—
1887	C₄	—	4	1	no	—
1888	C₄	—	4	1	no	—
1889	C₄	—	4	1	no	—
1890	C₄	—	26	1	no	—
1891	C₄	—	26	1	no	—
1892	C₄	—	26	1	no	—
1893	C₄	—	26	1	no	—
1894	C₄	—	26	1	no	—
1895	C₄	—	52	1	no	—
1896	C₄	—	52	1	no	—
1897	C₄	—	52	1	no	—
1898	C₄	—	52	1	no	—
1899	C₄	—	52	1	no	—
1900	C₄	—	52	1	no	—
1901	C₄	C₂×#88251	1	1	yes	characteristic
1902	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1903	C₂	—	4	1	no	—
1904	C₂	—	4	1	no	—
1905	C₂	—	8	1	no	—
1906	C₂	—	8	1	no	—
1907	C₂	—	8	1	no	—
1908	C₂	—	8	1	no	—
1909	C₂	—	52	1	no	—
1910	C₂	—	52	1	no	—
1911	C₂	—	52	1	no	—
1912	C₂	—	52	2	no	—
1913	C₂	—	104	1	no	—
1914	C₂	#13128464	1	1	yes	characteristic
1915	C₂	#13129605	1	1	yes	characteristic
1916	C₂	#13129611	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×#3287	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3287	D₁₃
hypocenter	C₁₃	#61628
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3287

Complements

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

N	H ≅ G/N	type
1. #13129087	C₂	semidirect
2. #13128504	C₂	semidirect
3. #13127109	C₂	semidirect
4. #13127082	C₂	semidirect
5. #13126983	C₂	semidirect
6. #13126962	C₂	semidirect
7. #13126864	C₂	semidirect
8. #13126846	C₂	semidirect
9. #13126681	C₂	semidirect
10. #13126673	C₂	semidirect
11. #13126560	C₂	semidirect
12. #13126455	C₂	semidirect
13. #13126429	C₂	semidirect
14. #13126416	C₂	semidirect
15. #13126391	C₂	semidirect
16. #13126377	C₂	semidirect
17. #13126354	C₂	semidirect
18. #13125907	C₂	semidirect
19. #13125879	C₂	semidirect
20. #13125745	C₂	semidirect
21. #13125732	C₂	semidirect
22. #13125648	C₂	semidirect
23. #13125596	C₂	semidirect
24. #13125056	C₂	semidirect
25. #13125034	C₂	semidirect
26. #13124138	C₂	semidirect
27. #13124136	C₂	semidirect
28. #13124074	C₂	semidirect
29. #13124050	C₂	semidirect
30. #13123878	C₂	semidirect
31. C₁₃×#3287	C₂	semidirect
34. C₂×C₁₃×#135	C₂²	semidirect
35. C₂×C₁₃×#135	C₂²	semidirect
37. C₁₃×#550	C₂²	semidirect
39. #11719538	C₂²	semidirect
41. #11719533	C₂²	semidirect
42. #11719529	C₂²	semidirect
43. #11719529	C₂²	semidirect
44. C₂×#88204	C₂²	semidirect
45. C₂×#88203	C₂²	semidirect
46. C₂×#88170	C₂²	semidirect
47. C₂×#88169	C₂²	semidirect
48. C₂×#88165	C₂²	semidirect
49. C₂×#88165	C₂²	semidirect
52. #11719424	C₂²	semidirect
53. #11719423	C₂²	semidirect
59. #11719323	C₂²	semidirect
61. #11719319	C₂²	semidirect
68. #11719313	C₂²	semidirect
69. #11719311	C₂²	semidirect
74. #11719288	C₂²	semidirect
75. #11719286	C₂²	semidirect
83. #11719246	C₂²	semidirect
85. C₁₃×#493	C₂²	semidirect
86. C₁₃×#466	C₂²	semidirect
87. C₁₃×#466	C₂²	semidirect
88. C₁₃×#460	C₂²	semidirect
89. C₁₃×#460	C₂²	semidirect
90. C₁₃×#449	C₂²	semidirect
91. C₁₃×#449	C₂²	semidirect
92. C₁₃×#449	C₂²	semidirect
93. C₁₃×#449	C₂²	semidirect
94. C₄×C₁₃×Q₁₆	C₂²	semidirect
95. C₈×D₄×C₁₃	C₂²	semidirect
96. #11718900	C₂²	semidirect
97. #11718900	C₂²	semidirect
98. #11718900	C₂²	semidirect
99. #11718899	C₂²	semidirect
100. #11718894	C₂²	semidirect
101. #11718893	C₂²	semidirect
103. #11718848	C₂²	semidirect
104. #11718847	C₂²	semidirect
105. #11718843	C₂²	semidirect
106. #11718836	C₂²	semidirect
107. #11718835	C₂²	semidirect
108. #11718834	C₂²	semidirect
111. #11718833	C₂²	semidirect
112. #11718832	C₂²	semidirect
113. #11718831	C₂²	semidirect
114. #11718830	C₂²	semidirect
115. #11718830	C₂²	semidirect
116. #11718830	C₂²	semidirect
117. #11718828	C₂²	semidirect
118. #11718825	C₂²	semidirect
119. SD₁₆×Dic₁₃	C₂²	semidirect
120. #11718820	C₂²	semidirect
121. #11718820	C₂²	semidirect
122. #11718819	C₂²	semidirect
123. #11718819	C₂²	semidirect
124. #11718819	C₂²	semidirect
125. #11718819	C₂²	semidirect
126. #11718817	C₂²	semidirect
127. #11718817	C₂²	semidirect
128. #11718817	C₂²	semidirect
129. #11718817	C₂²	semidirect
130. #11718814	C₂²	semidirect
131. #11718814	C₂²	semidirect
132. #11718811	C₂²	semidirect
133. #11718811	C₂²	semidirect
134. #11718777	C₂²	semidirect
135. #11718775	C₂²	semidirect
136. #11718774	C₂²	semidirect
137. C₂×#88061	C₂²	semidirect
138. #11718772	C₂²	semidirect
139. #11718771	C₂²	semidirect
140. C₈×C₂²⋊D₁₃	C₂²	semidirect
141. C₂×#88060	C₂²	semidirect
142. #11718736	C₂²	semidirect
143. #11718735	C₂²	semidirect
144. #11718733	C₂²	semidirect
145. #11718732	C₂²	semidirect
146. #11718703	C₂²	semidirect
147. #11718703	C₂²	semidirect
148. #11718702	C₂²	semidirect
149. #11718699	C₂²	semidirect
150. #11718698	C₂²	semidirect
151. #11718697	C₂²	semidirect
152. #11718696	C₂²	semidirect
153. #11718695	C₂²	semidirect
154. #11718691	C₂²	semidirect
155. #11718689	C₂²	semidirect
156. #11718687	C₂²	semidirect
157. #11718683	C₂²	semidirect
158. #11718672	C₂²	semidirect
159. #11718552	C₂²	semidirect
160. #11718546	C₂²	semidirect
161. #11718545	C₂²	semidirect
162. #11718545	C₂²	semidirect
163. #11718508	C₂²	semidirect
164. #11718506	C₂²	semidirect
165. #11718501	C₂²	semidirect
166. #11718497	C₂²	semidirect
167. #11718479	C₂²	semidirect
168. #11718477	C₂²	semidirect
169. #11718473	C₂²	semidirect
171. #11718466	C₂²	semidirect
172. #11718464	C₂²	semidirect
173. #11718463	C₂²	semidirect
174. #11718460	C₂²	semidirect
175. #11718446	C₂²	semidirect
176. #11718444	C₂²	semidirect
177. #11718444	C₂²	semidirect
178. #11718443	C₂²	semidirect
179. #11718442	C₂²	semidirect
180. #11718440	C₂²	semidirect
181. #11718439	C₂²	semidirect
182. #11718438	C₂²	semidirect
183. #11718437	C₂²	semidirect
184. #11718435	C₂²	semidirect
185. #11718435	C₂²	semidirect
186. #11718431	C₂²	semidirect
187. D₁₃×#102	C₂²	semidirect
188. #11718429	C₂²	semidirect
189. #11718425	C₂²	semidirect
190. #11718417	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718394	C₂²	semidirect
193. #11718392	C₂²	semidirect
194. #11718391	C₂²	semidirect
195. #11718390	C₂²	semidirect
196. #11718388	C₂²	semidirect
197. #11718387	C₂²	semidirect
198. #11718382	C₂²	semidirect
199. #11718358	C₂²	semidirect
200. C₄×#6095	C₂²	semidirect
201. #11718351	C₂²	semidirect
202. #11718349	C₂²	semidirect
749. #3287	D₁₃	semidirect
924. C₂×#135	C₂×D₁₃	semidirect
925. C₂×#135	C₂×D₁₃	semidirect
937. #550	C₂×D₁₃	semidirect
971. #493	C₂×D₁₃	semidirect
1003. #466	C₂×D₁₃	semidirect
1004. #466	C₂×D₁₃	semidirect
1016. #460	C₂×D₁₃	semidirect
1017. #460	C₂×D₁₃	semidirect
1047. #449	C₂×D₁₃	semidirect
1048. #449	C₂×D₁₃	semidirect
1049. #449	C₂×D₁₃	semidirect
1050. #449	C₂×D₁₃	semidirect
1061. C₄×Q₁₆	C₂×D₁₃	semidirect
1072. C₈×D₄	C₂×D₁₃	semidirect
1696. C₁₃	#61628	semidirect

Maximal subgroups

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

subgroup	index
#13129087	2
#13128504	2
#13127109	2
#13127082	2
#13126983	2
#13126962	2
#13126864	2
#13126846	2
#13126681	2
#13126673	2
#13126560	2
#13126455	2
#13126429	2
#13126416	2
#13126391	2
#13126377	2
#13126354	2
#13125907	2
#13125879	2
#13125745	2
#13125732	2
#13125648	2
#13125596	2
#13125056	2
#13125034	2
#13124138	2
#13124136	2
#13124074	2
#13124050	2
#13123878	2
C₁₃×#3287	2
#61628	13