Subgroups — #16756202

Order 3328.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129166	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128770	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127923	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127873	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127592	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127546	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126974	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126863	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126839	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126803	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126677	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126644	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126518	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126510	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126371	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126322	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126313	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126313	C₂	1	1	yes	maximal, characteristic, complemented
19	#13126274	C₂	1	1	yes	maximal, characteristic, complemented
20	#13126253	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125937	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125883	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125851	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125081	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125042	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124970	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124378	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124337	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718504	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123972	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3250	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
34	C₂×#88173	C₂²	1	1	yes	characteristic, complemented
35	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
36	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
38	C₂²×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
40	#11719416	—	2	1	no	—
41	#11719416	—	2	1	no	—
42	#11719412	—	2	1	no	—
43	#11719409	—	2	1	no	—
44	#11719403	C₂²	1	1	yes	characteristic, complemented
45	#11719403	C₂²	1	1	yes	characteristic, complemented
46	#11719400	C₂²	1	1	yes	characteristic, complemented
47	#11719395	C₂²	1	1	yes	characteristic, complemented
48	#11719386	C₂²	1	1	yes	characteristic, complemented
49	#11719381	C₂²	1	1	yes	characteristic, complemented
50	#11719379	C₂²	1	1	yes	characteristic, complemented
51	#11719379	C₂²	1	1	yes	characteristic, complemented
52	#11719361	—	2	1	no	—
53	#11719358	—	2	1	no	—
54	#11719358	—	2	1	no	—
55	D₁₃×#123	—	2	1	no	—
56	#11719347	C₂²	1	1	yes	characteristic, complemented
57	#11719335	C₂²	1	1	yes	characteristic
58	#11719335	C₂²	1	1	yes	characteristic, complemented
59	#11719335	C₂²	1	1	yes	characteristic, complemented
60	#11719316	C₂²	1	1	yes	characteristic, complemented
61	#11719314	C₂²	1	1	yes	characteristic
62	#11719314	C₂²	1	1	yes	characteristic, complemented
63	#11719314	C₂²	1	1	yes	characteristic, complemented
64	#11719290	C₂²	1	1	yes	characteristic, complemented
65	#11719287	C₂²	1	1	yes	characteristic, complemented
66	#11719282	C₂²	1	1	yes	characteristic, complemented
67	#11719279	C₂²	1	1	yes	characteristic, complemented
68	#11719267	C₂²	1	1	yes	characteristic, complemented
69	#11719261	—	2	1	no	—
70	#11719259	—	2	1	no	—
71	#11719258	C₂²	1	1	yes	characteristic, complemented
72	#11719255	—	2	1	no	—
73	D₄×D₅₂	—	2	1	no	—
74	D₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
75	#11719250	C₂²	1	1	yes	characteristic, complemented
76	#11719240	—	2	1	no	—
77	#11719235	—	2	1	no	—
78	#11719232	—	2	1	no	—
79	#11719230	—	2	1	no	—
80	#11719184	C₂²	1	1	yes	characteristic
81	C₂×#88128	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#466	C₂²	1	1	yes	characteristic
89	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
96	#11718852	C₂²	1	1	yes	characteristic, complemented
97	#11718848	C₂²	1	1	yes	characteristic, complemented
98	#11718846	C₂²	1	1	yes	characteristic, complemented
99	#11718837	C₂²	1	1	yes	characteristic, complemented
100	#11718837	C₂²	1	1	yes	characteristic, complemented
101	#11718833	C₂²	1	1	yes	characteristic, complemented
102	#11718830	C₂²	1	1	yes	characteristic, complemented
103	#11718826	C₂²	1	1	yes	characteristic, complemented
104	#11718824	C₂²	1	1	yes	characteristic, complemented
105	#11718817	C₂²	1	1	yes	characteristic, complemented
106	#11718812	C₂²	1	1	yes	characteristic, complemented
107	#11718811	C₂²	1	1	yes	characteristic, complemented
108	C₂×#88061	C₂²	1	1	yes	characteristic, complemented
109	C₂×#88061	C₂²	1	1	yes	characteristic, complemented
110	#11718772	C₂²	1	1	yes	characteristic, complemented
111	#11718772	C₂²	1	1	yes	characteristic, complemented
112	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
113	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
114	#11718728	C₂²	1	1	yes	characteristic, complemented
115	#11718728	C₂²	1	1	yes	characteristic, complemented
116	#11718727	C₂²	1	1	yes	characteristic, complemented
117	#11718727	C₂²	1	1	yes	characteristic, complemented
118	#11718719	C₂²	1	1	yes	characteristic, complemented
119	#11718719	C₂²	1	1	yes	characteristic, complemented
120	#11718718	C₂²	1	1	yes	characteristic, complemented
121	#11718718	C₂²	1	1	yes	characteristic, complemented
122	#11718707	C₂²	1	1	yes	characteristic, complemented
123	#11718707	C₂²	1	1	yes	characteristic, complemented
124	#11718707	C₂²	1	1	yes	characteristic, complemented
125	#11718704	C₂²	1	1	yes	characteristic, complemented
126	#11718697	C₂²	1	1	yes	characteristic
127	#11718697	C₂²	1	1	yes	characteristic, complemented
128	#11718697	C₂²	1	1	yes	characteristic, complemented
129	#11718694	C₂²	1	1	yes	characteristic, complemented
130	#11718688	C₂²	1	1	yes	characteristic, complemented
131	#11718688	C₂²	1	1	yes	characteristic, complemented
132	#11718687	C₂²	1	1	yes	characteristic, complemented
133	#11718687	C₂²	1	1	yes	characteristic, complemented
134	#11718676	C₂²	1	1	yes	characteristic, complemented
135	#11718676	C₂²	1	1	yes	characteristic, complemented
136	#11718675	C₂²	1	1	yes	characteristic, complemented
137	#11718675	C₂²	1	1	yes	characteristic, complemented
138	#11718587	C₂²	1	1	yes	characteristic, complemented
139	#11718552	C₂²	1	1	yes	characteristic, complemented
140	#11718551	C₂²	1	1	yes	characteristic, complemented
141	#11718546	C₂²	1	1	yes	characteristic, complemented
142	#11718544	C₂²	1	1	yes	characteristic, complemented
143	#11718544	C₂²	1	1	yes	characteristic, complemented
144	#11718543	C₂²	1	1	yes	characteristic, complemented
145	#11718533	C₂²	1	1	yes	characteristic, complemented
146	#11718533	C₂²	1	1	yes	characteristic, complemented
147	#11718532	C₂²	1	1	yes	characteristic, complemented
148	#11718531	C₂²	1	1	yes	characteristic, complemented
149	#11718530	C₂²	1	1	yes	characteristic, complemented
150	#11718530	C₂²	1	1	yes	characteristic, complemented
151	#11718527	C₂²	1	1	yes	characteristic, complemented
152	#11718526	C₂²	1	1	yes	characteristic, complemented
153	#11718526	C₂²	1	1	yes	characteristic, complemented
154	#11718524	C₂²	1	1	yes	characteristic, complemented
155	#11718504	C₂²	1	1	yes	characteristic
156	#11718504	C₂²	1	1	yes	characteristic, complemented
157	#11718504	C₂²	1	1	yes	characteristic, complemented
158	#11718504	C₂²	1	1	yes	characteristic, complemented
159	#11718504	C₂²	1	1	yes	characteristic, complemented
160	#11718504	C₂²	1	1	yes	characteristic, complemented
161	#11718504	C₂²	1	1	yes	characteristic, complemented
162	#11718504	C₂²	1	1	yes	characteristic, complemented
163	#11718501	C₂²	1	1	yes	characteristic, complemented
164	#11718501	C₂²	1	1	yes	characteristic, complemented
165	#11718500	C₂²	1	1	yes	characteristic, complemented
166	#11718500	C₂²	1	1	yes	characteristic, complemented
167	#11718497	C₂²	1	1	yes	characteristic, complemented
168	#11718497	C₂²	1	1	yes	characteristic, complemented
169	#11718489	C₂²	1	1	yes	characteristic, complemented
170	#11718489	C₂²	1	1	yes	characteristic, complemented
171	#11718480	C₂²	1	1	yes	characteristic, complemented
172	#11718480	C₂²	1	1	yes	characteristic, complemented
173	#11718480	C₂²	1	1	yes	characteristic, complemented
174	#11718480	C₂²	1	1	yes	characteristic, complemented
175	#11718478	C₂²	1	1	yes	characteristic, complemented
176	#11718473	C₂²	1	1	yes	characteristic, complemented
177	#11718472	C₂²	1	1	yes	characteristic, complemented
178	#11718472	C₂²	1	1	yes	characteristic, complemented
179	#11718472	C₂²	1	1	yes	characteristic, complemented
180	#11718472	C₂²	1	1	yes	characteristic, complemented
181	#11718468	C₂²	1	1	yes	characteristic, complemented
182	#11718465	C₂²	1	1	yes	characteristic, complemented
183	#11718464	C₂²	1	1	yes	characteristic, complemented
184	#11718461	C₂²	1	1	yes	characteristic, complemented
185	#11718456	C₂²	1	1	yes	characteristic, complemented
186	#11718449	C₂²	1	1	yes	characteristic, complemented
187	#11718447	C₂²	1	1	yes	characteristic, complemented
188	#11718447	C₂²	1	1	yes	characteristic, complemented
189	#11718447	C₂²	1	1	yes	characteristic, complemented
190	#11718447	C₂²	1	1	yes	characteristic, complemented
191	#11718446	C₂²	1	1	yes	characteristic, complemented
192	#11718443	C₂²	1	1	yes	characteristic, complemented
193	#11718436	C₂²	1	1	yes	characteristic, complemented
194	#11718434	C₂²	1	1	yes	characteristic, complemented
195	#11718434	C₂²	1	1	yes	characteristic, complemented
196	#11718434	C₂²	1	1	yes	characteristic, complemented
197	#11718434	C₂²	1	1	yes	characteristic, complemented
198	#11718431	C₂²	1	1	yes	characteristic, complemented
199	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
200	#11718425	C₂²	1	1	yes	characteristic, complemented
201	#11718421	C₂²	1	1	yes	characteristic, complemented
202	#11718417	C₂²	1	1	yes	characteristic, complemented
203	C₂×#6131	C₂³	1	1	yes	characteristic
204	C₂×#6131	C₂³	1	1	yes	characteristic
205	C₂×#6131	C₂³	1	1	yes	characteristic
206	C₂×#6129	—	2	1	no	—
207	C₂×D₄×D₁₃	—	2	1	no	—
208	C₂×D₄×D₁₃	—	2	1	no	—
209	C₂×D₄×D₁₃	—	2	1	no	—
210	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×#6127	—	2	1	no	—
214	C₂²×D₅₂	—	2	1	no	—
215	C₂²×D₅₂	—	2	1	no	—
216	C₂²×D₅₂	—	2	1	no	—
217	C₂²×D₅₂	C₂³	1	1	yes	characteristic
218	C₂²×D₅₂	C₂³	1	1	yes	characteristic
219	C₂²×D₅₂	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₁₃	—	2	1	no	—
221	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
225	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₁₃×#126	—	2	1	no	—
228	C₁₃×#126	—	2	1	no	—
229	C₁₃×#125	C₂³	1	1	yes	characteristic
230	C₁₃×#125	C₂³	1	1	yes	characteristic
231	C₁₃×#124	C₂³	1	1	yes	characteristic
232	C₁₃×#124	C₂³	1	1	yes	characteristic
233	C₁₃×#123	—	2	1	no	—
234	C₁₃×#123	—	2	1	no	—
235	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×#121	C₂³	1	1	yes	characteristic
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
245	C₁₃×#117	—	2	1	no	—
246	C₁₃×#117	—	2	1	no	—
247	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
248	#88201	C₂³	1	1	yes	characteristic
249	#88201	C₂³	1	1	yes	characteristic
250	#88201	C₂³	1	1	yes	characteristic
251	#88200	C₂³	1	1	yes	characteristic
252	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
253	C₂×#6106	C₂³	1	1	yes	characteristic
254	C₂×#6106	C₂³	1	1	yes	characteristic
255	C₂×#6106	C₂³	1	1	yes	characteristic
256	C₂×#6106	C₂³	1	1	yes	characteristic
257	C₂×#6106	C₂³	1	1	yes	characteristic
258	C₂×#6106	C₂³	1	1	yes	characteristic
259	#88194	C₂³	1	1	yes	characteristic
260	#88194	C₂³	1	1	yes	characteristic
261	#88194	C₂³	1	1	yes	characteristic
262	#88192	C₂³	1	1	yes	characteristic
263	#88191	—	2	1	no	—
264	#88191	—	2	1	no	—
265	#88191	—	2	1	no	—
266	#88189	—	2	1	no	—
267	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
268	C₂×#6104	C₂³	1	1	yes	characteristic
269	C₂×#6104	C₂³	1	1	yes	characteristic
270	C₂×#6104	C₂³	1	1	yes	characteristic
271	C₂×#6104	C₂³	1	1	yes	characteristic
272	C₂×#6104	C₂³	1	1	yes	characteristic
273	C₂×#6104	C₂³	1	1	yes	characteristic
274	#88184	—	2	1	no	—
275	#88184	—	2	1	no	—
276	#88184	—	2	1	no	—
277	#88184	D₄	1	1	yes	characteristic
278	#88183	—	2	1	no	—
279	#88183	D₄	1	1	yes	characteristic
280	#88183	D₄	1	1	yes	characteristic
281	C₄×C₂²⋊D₁₃	—	2	1	no	—
282	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
283	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
284	C₂×#6103	—	2	1	no	—
285	C₂×#6103	—	2	1	no	—
286	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
287	#88178	D₄	1	1	yes	characteristic
288	#88173	—	4	2	no	—
289	#88168	—	4	2	no	—
290	#88168	—	4	2	no	—
291	D₈×D₁₃	—	4	2	no	—
292	C₂×D₁₀₄	—	4	2	no	—
293	C₂×D₁₀₄	—	4	2	no	—
294	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
295	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
296	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
297	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
298	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
299	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
300	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
301	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
302	C₂×#6094	C₂³	1	1	yes	characteristic
303	C₂×#6094	C₂³	1	1	yes	characteristic
304	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
306	#88152	—	2	1	no	—
307	#88152	—	2	1	no	—
308	#88151	—	2	1	no	—
309	#88150	—	2	1	no	—
310	#88150	—	2	1	no	—
311	#88150	—	2	1	no	—
312	#88149	—	2	1	no	—
313	#88149	—	2	1	no	—
314	#88149	—	2	1	no	—
315	#88149	—	2	1	no	—
316	#88149	—	2	1	no	—
317	#88149	—	2	1	no	—
318	#88149	—	2	1	no	—
319	#88149	—	2	1	no	—
320	#88149	—	2	1	no	—
321	#88149	—	2	1	no	—
322	#88149	C₂³	1	1	yes	characteristic
323	#88149	C₂³	1	1	yes	characteristic
324	#88149	C₂³	1	1	yes	characteristic
325	#88149	C₂³	1	1	yes	characteristic
326	#88149	C₂³	1	1	yes	characteristic
327	#88149	C₂³	1	1	yes	characteristic
328	#88148	—	2	1	no	—
329	#88148	—	2	1	no	—
330	#88148	—	2	1	no	—
331	#88148	—	2	1	no	—
332	#88148	—	2	1	no	—
333	#88148	—	2	1	no	—
334	#88148	—	2	1	no	—
335	#88148	—	2	1	no	—
336	#88148	—	2	1	no	—
337	#88148	—	2	1	no	—
338	#88148	—	2	1	no	—
339	#88147	—	2	1	no	—
340	#88147	—	2	1	no	—
341	#88147	C₂³	1	1	yes	characteristic
342	#88147	C₂³	1	1	yes	characteristic
343	#88147	C₂³	1	1	yes	characteristic
344	#88147	C₂³	1	1	yes	characteristic
345	#88147	C₂³	1	1	yes	characteristic
346	#88147	C₂³	1	1	yes	characteristic
347	#88146	C₂³	1	1	yes	characteristic
348	C₄⋊C₄×D₁₃	—	2	1	no	—
349	C₄⋊C₄×D₁₃	—	2	1	no	—
350	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
351	#88144	—	2	1	no	—
352	#88144	C₂³	1	1	yes	characteristic
353	#88142	C₂³	1	1	yes	characteristic
354	#88140	—	2	1	no	—
355	#88140	—	2	1	no	—
356	#88139	—	2	1	no	—
357	#88138	—	2	1	no	—
358	#88138	—	2	1	no	—
359	#88138	—	2	1	no	—
360	#88138	—	2	1	no	—
361	#88138	—	2	1	no	—
362	#88138	—	2	1	no	—
363	#88138	—	2	1	no	—
364	#88138	—	2	1	no	—
365	#88138	—	2	1	no	—
366	#88138	—	2	1	no	—
367	#88138	—	2	1	no	—
368	#88137	—	2	1	no	—
369	#88137	—	2	1	no	—
370	#88137	—	2	1	no	—
371	#88137	—	2	1	no	—
372	#88136	—	2	1	no	—
373	#88136	—	2	1	no	—
374	#88136	—	2	1	no	—
375	#88136	—	2	1	no	—
376	#88136	—	2	1	no	—
377	#88136	—	2	1	no	—
378	#88136	—	2	1	no	—
379	#88136	—	2	1	no	—
380	#88136	—	2	1	no	—
381	#88136	—	2	1	no	—
382	#88136	—	2	1	no	—
383	#88136	—	2	1	no	—
384	#88136	—	2	1	no	—
385	#88135	—	2	1	no	—
386	#88135	—	2	1	no	—
387	C₂²⋊C₄×D₁₃	—	2	1	no	—
388	C₂²⋊C₄×D₁₃	—	2	1	no	—
389	C₂²⋊C₄×D₁₃	—	2	1	no	—
390	C₂²⋊C₄×D₁₃	—	2	1	no	—
391	C₂²⋊C₄×D₁₃	—	2	1	no	—
392	#88132	—	2	1	no	—
393	#88131	—	2	1	no	—
394	#88130	—	2	1	no	—
395	#88130	D₄	1	1	yes	characteristic
396	#88130	D₄	1	1	yes	characteristic
397	#88129	—	2	1	no	—
398	#88129	—	2	1	no	—
399	#88129	D₄	1	1	yes	characteristic
400	#88128	—	2	1	no	—
401	#88128	—	2	1	no	—
402	#88128	—	2	1	no	—
403	#88128	C₂³	1	1	yes	characteristic
404	#88128	C₂³	1	1	yes	characteristic
405	#88128	C₂³	1	1	yes	characteristic
406	#88128	C₂³	1	1	yes	characteristic
407	C₄×D₅₂	—	2	1	no	—
408	C₄×D₅₂	—	2	1	no	—
409	C₄×D₅₂	—	2	1	no	—
410	C₄×D₅₂	—	2	1	no	—
411	C₄×D₅₂	—	2	1	no	—
412	C₄×D₅₂	C₂³	1	1	yes	characteristic
413	C₄×D₅₂	C₂³	1	1	yes	characteristic
414	C₄×D₅₂	C₂³	1	1	yes	characteristic
415	C₄×D₅₂	C₂³	1	1	yes	characteristic
416	C₄×D₅₂	C₂³	1	1	yes	characteristic
417	#88126	—	2	1	no	—
418	#88126	C₂³	1	1	yes	characteristic
419	#88126	C₂³	1	1	yes	characteristic
420	#88124	D₄	1	1	yes	characteristic
421	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
422	C₁₃×#107	C₂³	1	1	yes	characteristic
423	C₁₃×#107	C₂³	1	1	yes	characteristic
424	C₁₃×#106	C₂³	1	1	yes	characteristic
425	C₁₃×#106	C₂³	1	1	yes	characteristic
426	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₁₃×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	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	#88075	C₂³	1	1	yes	characteristic
439	#88075	C₂³	1	1	yes	characteristic
440	#88072	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	C₂²⋊#1055	C₂³	1	1	yes	characteristic
443	C₂²⋊#1055	C₂³	1	1	yes	characteristic
444	#88061	C₂³	1	1	yes	characteristic
445	#88061	C₂³	1	1	yes	characteristic
446	#88061	C₂³	1	1	yes	characteristic
447	#88061	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88060	C₂³	1	1	yes	characteristic
453	#88060	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88055	C₂³	1	1	yes	characteristic
457	#88055	C₂³	1	1	yes	characteristic
458	#88054	C₂³	1	1	yes	characteristic
459	#88054	C₂³	1	1	yes	characteristic
460	#88054	C₂³	1	1	yes	characteristic
461	#88054	C₂³	1	1	yes	characteristic
462	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
463	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
464	#88049	C₂³	1	1	yes	characteristic
465	#88049	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88049	C₂³	1	1	yes	characteristic
470	#88049	C₂³	1	1	yes	characteristic
471	#88049	C₂³	1	1	yes	characteristic
472	#88049	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88048	C₂³	1	1	yes	characteristic
477	#88048	C₂³	1	1	yes	characteristic
478	#88047	C₂³	1	1	yes	characteristic
479	#88047	C₂³	1	1	yes	characteristic
480	C₄⋊#1055	C₂³	1	1	yes	characteristic
481	C₄⋊#1055	C₂³	1	1	yes	characteristic
482	#88043	C₂³	1	1	yes	characteristic
483	#88043	C₂³	1	1	yes	characteristic
484	#62007	—	13	1	no	maximal, Sylow
485	C₂³×D₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	1	no	—
487	C₂³×D₁₃	—	2	1	no	—
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	—	2	1	no	—
490	C₂³×D₁₃	—	2	1	no	—
491	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
492	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂×D₄×C₁₃	—	2	1	no	—
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₁₃	—	2	1	no	—
498	C₂²×C₄×C₁₃	—	2	1	no	—
499	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
500	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
501	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
507	C₂×C₂²⋊D₁₃	—	2	1	no	—
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
514	C₂²×Dic₁₃	—	2	1	no	—
515	C₂²×Dic₁₃	—	2	1	no	—
516	#6131	—	2	2	no	—
517	#6131	—	4	1	no	—
518	#6131	—	4	1	no	—
519	#6131	—	4	1	no	—
520	#6131	—	4	1	no	—
521	#6131	—	4	1	no	—
522	#6129	—	8	2	no	—
523	D₄×D₁₃	—	2	2	no	—
524	D₄×D₁₃	—	4	1	no	—
525	D₄×D₁₃	—	4	1	no	—
526	D₄×D₁₃	—	4	1	no	—
527	D₄×D₁₃	—	4	1	no	—
528	D₄×D₁₃	—	4	1	no	—
529	D₄×D₁₃	—	8	2	no	—
530	D₄×D₁₃	—	8	2	no	—
531	D₄×D₁₃	—	8	2	no	—
532	#6127	—	8	2	no	—
533	C₂×D₅₂	—	2	2	no	—
534	C₂×D₅₂	—	2	1	no	—
535	C₂×D₅₂	—	2	1	no	—
536	C₂×D₅₂	—	2	1	no	—
537	C₂×D₅₂	—	2	1	no	—
538	C₂×D₅₂	—	2	1	no	—
539	C₂×D₅₂	—	2	1	no	—
540	C₂×D₅₂	—	2	1	no	—
541	C₂×D₅₂	—	2	1	no	—
542	C₂×D₅₂	—	2	1	no	—
543	C₂×D₅₂	—	2	1	no	—
544	C₂×D₅₂	—	2	1	no	—
545	C₂×D₅₂	—	2	1	no	—
546	C₂×D₅₂	—	2	1	no	—
547	C₂×D₅₂	—	2	1	no	—
548	C₂×D₅₂	—	2	1	no	—
549	C₂×D₅₂	—	2	1	no	—
550	C₂×D₅₂	—	2	1	no	—
551	C₂×D₅₂	—	2	1	no	—
552	C₂×D₅₂	—	2	1	no	—
553	C₂×D₅₂	—	2	1	no	—
554	C₂×D₅₂	—	4	1	no	—
555	C₂×D₅₂	—	4	1	no	—
556	C₂×D₅₂	—	4	1	no	—
557	C₂×D₅₂	—	4	1	no	—
558	C₂×D₅₂	—	4	1	no	—
559	C₂×D₅₂	—	8	2	no	—
560	C₂×D₅₂	—	8	2	no	—
561	C₂×D₅₂	—	8	2	no	—
562	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
563	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
564	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
565	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
566	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
567	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
568	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₁₃	—	2	1	no	—
570	C₂×C₄×D₁₃	—	2	1	no	—
571	C₂×C₄×D₁₃	—	2	1	no	—
572	C₂×C₄×D₁₃	—	2	1	no	—
573	C₂×C₄×D₁₃	—	2	1	no	—
574	C₂×C₄×D₁₃	—	2	1	no	—
575	C₂×C₄×D₁₃	—	2	1	no	—
576	C₂×C₄×D₁₃	—	2	1	no	—
577	C₂×C₄×D₁₃	—	2	1	no	—
578	C₂×C₄×D₁₃	—	2	1	no	—
579	C₂×C₄×D₁₃	—	2	1	no	—
580	C₂×C₄×D₁₃	—	2	1	no	—
581	C₂×C₄×D₁₃	—	2	1	no	—
582	C₂×C₄×D₁₃	—	2	1	no	—
583	C₂×C₄×D₁₃	—	8	2	no	—
584	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
586	C₂×Dic₂₆	—	2	1	no	—
587	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
588	C₁₃×Q₁₆	—	4	1	no	—
589	C₁₃×SD₁₆	—	4	1	no	—
590	C₁₃×SD₁₆	—	4	1	no	—
591	C₁₃×D₈	—	4	1	no	—
592	C₂×C₈×C₁₃	—	4	1	no	—
593	C₂×C₈×C₁₃	—	4	1	no	—
594	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
595	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
596	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
597	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
598	C₁₃×C₄⋊C₄	—	2	1	no	—
599	C₁₃×C₄⋊C₄	—	2	1	no	—
600	C₁₃×C₄⋊C₄	—	2	1	no	—
601	C₁₃×C₄⋊C₄	—	2	1	no	—
602	C₁₃×C₄⋊C₄	—	2	1	no	—
603	C₁₃×C₄⋊C₄	—	2	1	no	—
604	C₁₃×C₄⋊C₄	—	2	1	no	—
605	C₁₃×C₄⋊C₄	—	2	1	no	—
606	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₁₃×C₂²⋊C₄	—	2	1	no	—
611	C₁₃×C₂²⋊C₄	—	2	1	no	—
612	C₁₃×C₂²⋊C₄	—	2	1	no	—
613	C₁₃×C₂²⋊C₄	—	2	1	no	—
614	C₁₃×C₂²⋊C₄	—	2	1	no	—
615	C₁₃×C₂²⋊C₄	—	2	1	no	—
616	C₁₃×C₂²⋊C₄	—	2	1	no	—
617	C₁₃×C₂²⋊C₄	—	2	1	no	—
618	C₁₃×C₂²⋊C₄	—	2	1	no	—
619	C₁₃×C₂²⋊C₄	—	2	1	no	—
620	C₄²×C₁₃	—	2	1	no	—
621	C₄²×C₁₃	—	2	1	no	—
622	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
623	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
624	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
625	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
626	C₂²⋊Dic₁₃	—	2	1	no	—
627	C₂²⋊Dic₁₃	—	2	1	no	—
628	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
629	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
630	#6106	—	2	2	no	—
631	#6106	—	4	1	no	—
632	#6106	—	4	1	no	—
633	#6106	—	4	1	no	—
634	#6106	—	4	1	no	—
635	#6106	—	4	1	no	—
636	#6104	—	2	2	no	—
637	#6104	—	4	1	no	—
638	#6104	—	4	1	no	—
639	#6104	—	4	1	no	—
640	#6104	—	4	1	no	—
641	#6104	—	4	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	C₂×D₄	1	1	yes	characteristic
667	#6103	C₂×D₄	1	1	yes	characteristic
668	#6103	C₂×D₄	1	1	yes	characteristic
669	#6103	C₂×D₄	1	1	yes	characteristic
670	#6103	C₂×D₄	1	1	yes	characteristic
671	#6103	C₂×D₄	1	1	yes	characteristic
672	#6103	C₂×D₄	1	1	yes	characteristic
673	#6103	C₂×D₄	1	1	yes	characteristic
674	C₄⋊Dic₁₃	—	2	1	no	—
675	C₄⋊Dic₁₃	—	2	1	no	—
676	C₄⋊Dic₁₃	—	2	1	no	—
677	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
678	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
679	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
680	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
681	#6101	—	2	1	no	—
682	#6101	—	2	1	no	—
683	#6101	—	2	1	no	—
684	#6101	—	2	1	no	—
685	#6101	C₂×D₄	1	1	yes	characteristic
686	#6101	C₂×D₄	1	1	yes	characteristic
687	#6101	C₂×D₄	1	1	yes	characteristic
688	#6101	C₂×D₄	1	1	yes	characteristic
689	#6101	C₂×D₄	1	1	yes	characteristic
690	#6101	C₂×D₄	1	1	yes	characteristic
691	#6101	C₂×D₄	1	1	yes	characteristic
692	#6101	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₁₃	—	2	1	no	—
694	C₄×Dic₁₃	—	2	1	no	—
695	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
696	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
697	C₂×#1055	C₂⁴	1	1	yes	characteristic
698	C₂×#1055	C₂⁴	1	1	yes	characteristic
699	C₂×#1055	C₂⁴	1	1	yes	characteristic
700	C₂×#1055	C₂⁴	1	1	yes	characteristic
701	D₁₀₄	—	2	2	no	—
702	D₁₀₄	—	2	2	no	—
703	D₁₀₄	—	2	2	no	—
704	D₁₀₄	—	2	2	no	—
705	D₁₀₄	—	4	1	no	—
706	D₁₀₄	—	4	1	no	—
707	D₁₀₄	—	4	1	no	—
708	D₁₀₄	—	4	1	no	—
709	#6094	—	4	1	no	—
710	#6094	—	4	1	no	—
711	C₈×D₁₃	—	4	1	no	—
712	C₈×D₁₃	—	4	1	no	—
713	#3543	—	13	1	no	—
714	#3513	—	13	1	no	—
715	#3403	—	13	1	no	—
716	#3399	—	13	1	no	—
717	#3370	—	13	1	no	—
718	#3366	—	13	1	no	—
719	#3318	—	13	1	no	—
720	#3310	—	13	1	no	—
721	#3309	—	13	1	no	—
722	#3306	—	13	1	no	—
723	#3296	—	13	1	no	—
724	#3294	—	13	1	no	—
725	#3280	—	13	1	no	—
726	D₄×D₈	—	13	1	no	—
727	#3268	—	13	1	no	—
728	#3264	—	13	1	no	—
729	#3264	—	13	1	no	—
730	#3264	—	13	1	no	—
731	#3259	—	13	1	no	—
732	#3257	—	13	1	no	—
733	#3250	D₁₃	1	1	yes	characteristic, complemented
734	#3224	—	13	1	no	—
735	#3220	—	13	1	no	—
736	#3217	—	13	1	no	—
737	#3122	—	13	1	no	—
738	#3119	—	13	1	no	—
739	#3114	—	13	1	no	—
740	#3045	—	13	1	no	—
741	#3041	—	13	1	no	—
742	C₂×#459	—	13	1	no	—
743	#2992	—	13	1	no	—
744	C₂³×C₁₃	—	2	1	no	—
745	C₂³×C₁₃	—	2	1	no	—
746	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
747	C₂²×D₁₃	—	2	1	no	—
748	C₂²×D₁₃	—	2	1	no	—
749	C₂²×D₁₃	—	2	1	no	—
750	C₂²×D₁₃	—	2	1	no	—
751	C₂²×D₁₃	—	2	1	no	—
752	C₂²×D₁₃	—	2	1	no	—
753	C₂²×D₁₃	—	4	2	no	—
754	C₂²×D₁₃	—	4	2	no	—
755	C₂²×D₁₃	—	4	2	no	—
756	C₂²×D₁₃	—	4	2	no	—
757	C₂²×D₁₃	—	4	2	no	—
758	C₂²×D₁₃	—	8	1	no	—
759	C₂²×D₁₃	—	8	1	no	—
760	C₂²×D₁₃	—	8	1	no	—
761	C₂²×D₁₃	—	8	1	no	—
762	C₂²×D₁₃	—	8	1	no	—
763	C₂²×D₁₃	—	8	1	no	—
764	C₂²×D₁₃	—	8	1	no	—
765	C₂²×D₁₃	—	8	1	no	—
766	C₂²×D₁₃	—	8	1	no	—
767	C₂²×D₁₃	—	8	1	no	—
768	C₂²×D₁₃	—	8	1	no	—
769	C₂²×D₁₃	—	8	1	no	—
770	C₂²×D₁₃	—	8	1	no	—
771	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
772	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
773	Q₈×C₁₃	—	2	1	no	—
774	Q₈×C₁₃	—	2	1	no	—
775	Q₈×C₁₃	—	2	1	no	—
776	Q₈×C₁₃	—	2	1	no	—
777	D₄×C₁₃	—	2	1	no	—
778	D₄×C₁₃	—	2	1	no	—
779	D₄×C₁₃	—	2	1	no	—
780	D₄×C₁₃	—	2	1	no	—
781	D₄×C₁₃	—	4	2	no	—
782	D₄×C₁₃	—	4	2	no	—
783	C₂×C₄×C₁₃	—	2	2	no	—
784	C₂×C₄×C₁₃	—	2	1	no	—
785	C₂×C₄×C₁₃	—	2	1	no	—
786	C₂×C₄×C₁₃	—	2	1	no	—
787	C₂×C₄×C₁₃	—	2	1	no	—
788	C₂×C₄×C₁₃	—	2	1	no	—
789	C₂×C₄×C₁₃	—	2	1	no	—
790	C₂×C₄×C₁₃	—	2	1	no	—
791	C₂×C₄×C₁₃	—	2	1	no	—
792	C₂×C₄×C₁₃	—	4	1	no	—
793	C₂×C₄×C₁₃	—	4	2	no	—
794	C₂×C₄×C₁₃	—	8	1	no	—
795	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
799	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
801	C₂²⋊D₁₃	—	2	2	no	—
802	C₂²⋊D₁₃	—	2	2	no	—
803	C₂²⋊D₁₃	—	4	2	no	—
804	C₂²⋊D₁₃	—	8	1	no	—
805	C₂²⋊D₁₃	—	8	1	no	—
806	C₂²⋊D₁₃	—	8	1	no	—
807	C₂²⋊D₁₃	—	8	1	no	—
808	C₂²⋊D₁₃	—	8	1	no	—
809	C₂²⋊D₁₃	—	8	1	no	—
810	C₂²⋊D₁₃	—	8	1	no	—
811	C₂²⋊D₁₃	—	8	1	no	—
812	C₂²⋊D₁₃	—	8	1	no	—
813	C₂×Dic₁₃	—	2	1	no	—
814	C₂×Dic₁₃	—	2	1	no	—
815	C₂×Dic₁₃	—	4	2	no	—
816	C₂×Dic₁₃	—	8	1	no	—
817	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
820	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
822	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
823	D₅₂	—	2	1	no	—
824	D₅₂	—	2	1	no	—
825	D₅₂	—	2	1	no	—
826	D₅₂	—	2	1	no	—
827	D₅₂	—	2	1	no	—
828	D₅₂	—	2	1	no	—
829	D₅₂	—	2	1	no	—
830	D₅₂	—	2	1	no	—
831	D₅₂	—	2	1	no	—
832	D₅₂	—	2	1	no	—
833	D₅₂	—	2	1	no	—
834	D₅₂	—	4	1	no	—
835	D₅₂	—	4	2	no	—
836	D₅₂	—	4	2	no	—
837	D₅₂	—	4	2	no	—
838	D₅₂	—	4	2	no	—
839	D₅₂	—	8	1	no	—
840	D₅₂	—	8	1	no	—
841	D₅₂	—	8	1	no	—
842	D₅₂	—	8	1	no	—
843	D₅₂	—	8	1	no	—
844	D₅₂	—	8	1	no	—
845	D₅₂	—	8	1	no	—
846	D₅₂	—	8	1	no	—
847	D₅₂	—	8	1	no	—
848	D₅₂	—	8	1	no	—
849	D₅₂	—	8	1	no	—
850	D₅₂	—	8	1	no	—
851	D₅₂	—	8	1	no	—
852	D₅₂	—	8	1	no	—
853	D₅₂	—	8	1	no	—
854	D₅₂	—	8	1	no	—
855	D₅₂	H(5,𝔽₂)	1	2	yes	—
856	C₄×D₁₃	—	2	1	no	—
857	C₄×D₁₃	—	2	1	no	—
858	C₄×D₁₃	—	2	1	no	—
859	C₄×D₁₃	—	2	1	no	—
860	C₄×D₁₃	—	4	2	no	—
861	C₄×D₁₃	—	8	1	no	—
862	C₄×D₁₃	—	8	1	no	—
863	C₄×D₁₃	—	8	1	no	—
864	C₄×D₁₃	—	8	1	no	—
865	C₄×D₁₃	—	8	1	no	—
866	C₄×D₁₃	—	8	1	no	—
867	C₄×D₁₃	—	8	1	no	—
868	C₄×D₁₃	—	8	1	no	—
869	C₄×D₁₃	—	8	1	no	—
870	C₄×D₁₃	—	8	1	no	—
871	C₄×D₁₃	—	8	1	no	—
872	C₄×D₁₃	—	8	1	no	—
873	C₄×D₁₃	—	8	1	no	—
874	Dic₂₆	—	4	1	no	—
875	Dic₂₆	—	8	1	no	—
876	C₈×C₁₃	—	2	1	no	—
877	C₈×C₁₃	—	2	1	no	—
878	C₈×C₁₃	—	2	1	no	—
879	C₈×C₁₃	—	2	1	no	—
880	#1055	—	2	1	no	—
881	#1055	—	2	1	no	—
882	#1055	—	2	1	no	—
883	#1055	—	2	1	no	—
884	C₂×AGL(1,ℤ/8)	—	13	1	no	—
885	C₂×AGL(1,ℤ/8)	—	13	1	no	—
886	C₂×#135	—	13	1	no	—
887	C₂²×D₈	—	13	1	no	—
888	C₂²×D₈	—	13	1	no	—
889	C₂²×D₈	—	13	1	no	—
890	#560	—	26	1	no	—
891	#560	—	26	1	no	—
892	#559	—	13	1	no	—
893	#559	—	13	1	no	—
894	#554	—	13	1	no	—
895	#553	—	13	1	no	—
896	#553	—	26	1	no	—
897	#552	—	13	1	no	—
898	#551	—	26	1	no	—
899	#551	—	26	1	no	—
900	#550	—	13	1	no	—
901	#550	—	13	1	no	—
902	#547	—	13	1	no	—
903	#546	—	13	1	no	—
904	#546	—	13	1	no	—
905	#546	—	13	1	no	—
906	#546	—	13	1	no	—
907	#546	—	26	1	no	—
908	#546	—	26	1	no	—
909	D₄²	—	13	1	no	—
910	D₄²	—	13	1	no	—
911	D₄²	—	13	1	no	—
912	D₄²	—	13	1	no	—
913	D₄²	—	26	1	no	—
914	#542	—	13	1	no	—
915	#540	—	13	1	no	—
916	#540	—	13	1	no	—
917	#540	—	13	1	no	—
918	#540	—	26	1	no	—
919	#539	—	26	1	no	—
920	#538	—	26	1	no	—
921	#535	—	13	1	no	—
922	#535	—	13	1	no	—
923	#535	—	26	1	no	—
924	#534	—	26	1	no	—
925	#534	—	26	1	no	—
926	C₂×#127	—	13	1	no	—
927	#529	—	13	1	no	—
928	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
929	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
930	#525	—	26	1	no	—
931	C₂×#123	—	26	1	no	—
932	#520	—	13	1	no	—
933	#518	—	13	1	no	—
934	C₂×C₄×D₄	—	13	1	no	—
935	#496	—	13	1	no	—
936	#496	—	13	1	no	—
937	#496	—	13	1	no	—
938	#496	—	13	1	no	—
939	#495	—	13	1	no	—
940	#493	—	13	1	no	—
941	#490	—	13	1	no	—
942	#490	—	13	1	no	—
943	#490	—	13	1	no	—
944	#489	—	13	1	no	—
945	#488	—	13	1	no	—
946	#486	—	13	1	no	—
947	#483	—	13	1	no	—
948	#482	—	13	1	no	—
949	#482	—	13	1	no	—
950	#481	—	13	1	no	—
951	#480	—	13	1	no	—
952	#480	—	13	1	no	—
953	#479	C₂×D₁₃	1	1	yes	characteristic, complemented
954	#479	C₂×D₁₃	1	1	yes	characteristic, complemented
955	#478	—	13	1	no	—
956	#478	—	13	1	no	—
957	#478	—	13	1	no	—
958	#478	—	13	1	no	—
959	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
960	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
961	#476	—	13	1	no	—
962	#474	—	13	1	no	—
963	#469	—	13	1	no	—
964	#469	—	13	1	no	—
965	#469	—	13	1	no	—
966	#468	—	13	1	no	—
967	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
968	#466	—	13	1	no	—
969	#466	—	13	1	no	—
970	#466	—	13	1	no	—
971	#466	C₂×D₁₃	1	1	yes	characteristic
972	#465	—	13	1	no	—
973	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
974	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
975	#464	—	13	1	no	—
976	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
977	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
978	#463	—	13	1	no	—
979	#463	—	13	1	no	—
980	#463	—	13	1	no	—
981	#463	—	13	1	no	—
982	#463	—	13	1	no	—
983	#463	—	13	1	no	—
984	#463	—	13	1	no	—
985	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
986	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
987	#460	—	13	1	no	—
988	#460	—	13	1	no	—
989	#460	—	13	1	no	—
990	#459	—	13	1	no	—
991	#459	—	13	1	no	—
992	#459	—	13	1	no	—
993	#459	—	13	1	no	—
994	#459	—	13	1	no	—
995	#459	—	13	1	no	—
996	#459	—	13	1	no	—
997	#459	—	13	1	no	—
998	#459	—	13	1	no	—
999	#459	—	13	1	no	—
1000	#459	—	13	1	no	—
1001	#459	—	13	1	no	—
1002	#459	—	13	1	no	—
1003	#459	—	13	1	no	—
1004	#459	—	13	1	no	—
1005	#452	—	13	1	no	—
1006	#450	—	13	1	no	—
1007	#450	—	13	1	no	—
1008	#450	—	13	1	no	—
1009	#450	—	13	1	no	—
1010	#449	—	13	1	no	—
1011	#449	—	13	1	no	—
1012	#449	—	13	1	no	—
1013	#449	—	13	1	no	—
1014	#449	—	13	1	no	—
1015	#447	—	13	1	no	—
1016	#447	—	13	1	no	—
1017	#447	—	13	1	no	—
1018	#447	—	13	1	no	—
1019	#447	—	13	1	no	—
1020	#447	—	13	1	no	—
1021	#447	—	13	1	no	—
1022	#447	—	13	1	no	—
1023	#446	—	13	1	no	—
1024	#446	—	13	1	no	—
1025	#442	—	13	1	no	—
1026	#442	—	13	1	no	—
1027	#442	—	13	1	no	—
1028	#442	—	13	1	no	—
1029	#442	—	13	1	no	—
1030	#440	—	13	1	no	—
1031	#440	—	13	1	no	—
1032	#440	—	13	1	no	—
1033	C₄×SD₁₆	—	13	1	no	—
1034	C₄×D₈	—	13	1	no	—
1035	C₄×D₈	—	13	1	no	—
1036	C₄×D₈	—	13	1	no	—
1037	#435	—	13	1	no	—
1038	#435	—	13	1	no	—
1039	#435	—	13	1	no	—
1040	#435	—	13	1	no	—
1041	C₈×D₄	—	13	1	no	—
1042	C₈×D₄	—	13	1	no	—
1043	#433	—	13	1	no	—
1044	#433	—	13	1	no	—
1045	#432	—	13	1	no	—
1046	#424	—	13	1	no	—
1047	#424	—	13	1	no	—
1048	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1049	#418	—	13	1	no	—
1050	#417	—	13	1	no	—
1051	#416	—	13	1	no	—
1052	C₂×#102	—	13	1	no	—
1053	C₂×#102	—	13	1	no	—
1054	C₂×#102	—	13	1	no	—
1055	C₂²×C₁₃	—	2	1	no	—
1056	C₂²×C₁₃	—	2	1	no	—
1057	C₂²×C₁₃	—	4	1	no	—
1058	C₂²×C₁₃	—	4	1	no	—
1059	C₂²×C₁₃	—	4	1	no	—
1060	C₂²×C₁₃	—	4	1	no	—
1061	C₂²×C₁₃	—	4	1	no	—
1062	C₂²×C₁₃	—	4	1	no	—
1063	C₂²×C₁₃	#576	1	2	yes	—
1064	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1065	C₂×D₁₃	—	2	1	no	—
1066	C₂×D₁₃	—	2	1	no	—
1067	C₂×D₁₃	—	2	1	no	—
1068	C₂×D₁₃	—	2	1	no	—
1069	C₂×D₁₃	—	2	2	no	—
1070	C₂×D₁₃	—	2	1	no	—
1071	C₂×D₁₃	—	2	1	no	—
1072	C₂×D₁₃	—	4	1	no	—
1073	C₂×D₁₃	—	4	1	no	—
1074	C₂×D₁₃	—	4	1	no	—
1075	C₂×D₁₃	—	4	1	no	—
1076	C₂×D₁₃	—	4	1	no	—
1077	C₂×D₁₃	—	4	1	no	—
1078	C₂×D₁₃	—	4	1	no	—
1079	C₂×D₁₃	—	4	1	no	—
1080	C₂×D₁₃	—	4	1	no	—
1081	C₂×D₁₃	—	4	1	no	—
1082	C₂×D₁₃	—	4	1	no	—
1083	C₂×D₁₃	—	4	1	no	—
1084	C₂×D₁₃	—	4	1	no	—
1085	C₂×D₁₃	—	4	1	no	—
1086	C₂×D₁₃	—	4	1	no	—
1087	C₂×D₁₃	—	4	1	no	—
1088	C₂×D₁₃	—	4	1	no	—
1089	C₂×D₁₃	—	8	4	no	—
1090	C₂×D₁₃	—	16	2	no	—
1091	C₂×D₁₃	—	16	2	no	—
1092	C₂×D₁₃	—	16	2	no	—
1093	C₂×D₁₃	—	16	2	no	—
1094	C₂×D₁₃	—	16	2	no	—
1095	C₄×C₁₃	—	2	1	no	—
1096	C₄×C₁₃	—	2	1	no	—
1097	C₄×C₁₃	—	2	1	no	—
1098	C₄×C₁₃	—	2	1	no	—
1099	C₄×C₁₃	—	2	1	no	—
1100	C₄×C₁₃	—	4	1	no	—
1101	C₄×C₁₃	—	4	1	no	—
1102	C₄×C₁₃	—	4	1	no	—
1103	C₄×C₁₃	—	4	1	no	—
1104	C₄×C₁₃	—	4	1	no	—
1105	C₄×C₁₃	—	4	1	no	—
1106	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1107	C₄×C₁₃	#585	1	1	yes	characteristic
1108	Dic₁₃	—	2	1	no	—
1109	Dic₁₃	—	2	1	no	—
1110	Dic₁₃	—	2	1	no	—
1111	Dic₁₃	—	2	1	no	—
1112	Dic₁₃	—	2	1	no	—
1113	Dic₁₃	—	2	1	no	—
1114	Dic₁₃	—	4	1	no	—
1115	Dic₁₃	—	4	1	no	—
1116	C₂×#41	—	13	1	no	—
1117	C₂×#41	—	13	1	no	—
1118	C₂×#41	—	13	1	no	—
1119	C₂×#41	—	26	1	no	—
1120	C₂×#41	—	26	1	no	—
1121	C₂²×D₄	—	13	1	no	—
1122	C₂²×D₄	—	13	1	no	—
1123	C₂²×D₄	—	13	1	no	—
1124	C₂²×D₄	—	13	1	no	—
1125	C₂²×D₄	—	13	1	no	—
1126	C₂²×D₄	—	13	1	no	—
1127	C₂²×D₄	—	26	1	no	—
1128	C₂²×D₄	—	26	1	no	—
1129	C₂²×D₄	—	26	1	no	—
1130	C₂²×D₄	—	26	1	no	—
1131	C₂²×D₄	—	26	1	no	—
1132	C₂²×D₄	—	26	1	no	—
1133	C₂³×C₄	—	26	1	no	—
1134	AGL(1,ℤ/8)	—	52	2	no	—
1135	AGL(1,ℤ/8)	—	52	2	no	—
1136	#135	—	52	2	no	—
1137	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1138	C₂×SD₁₆	—	13	1	no	—
1139	C₂×SD₁₆	—	13	1	no	—
1140	C₂×SD₁₆	—	13	1	no	—
1141	C₂×SD₁₆	—	13	1	no	—
1142	C₂×SD₁₆	—	13	1	no	—
1143	C₂×SD₁₆	—	13	1	no	—
1144	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1145	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1146	C₂×D₈	—	13	1	no	—
1147	C₂×D₈	—	13	1	no	—
1148	C₂×D₈	—	13	1	no	—
1149	C₂×D₈	—	13	1	no	—
1150	C₂×D₈	—	13	1	no	—
1151	C₂×D₈	—	13	1	no	—
1152	C₂×D₈	—	13	1	no	—
1153	C₂×D₈	—	13	1	no	—
1154	C₂×D₈	—	13	1	no	—
1155	C₂×D₈	—	13	1	no	—
1156	C₂×D₈	—	13	1	no	—
1157	C₂×D₈	—	13	1	no	—
1158	C₂×D₈	—	13	1	no	—
1159	C₂×D₈	—	13	1	no	—
1160	C₂×D₈	—	52	2	no	—
1161	C₂×D₈	—	52	2	no	—
1162	C₂×D₈	—	52	2	no	—
1163	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1164	C₂×M₁₆	—	13	1	no	—
1165	C₂×M₁₆	—	13	1	no	—
1166	C₂²×C₈	—	13	1	no	—
1167	C₂²×C₈	—	13	1	no	—
1168	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1169	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1170	C₄⋊Q₈	—	13	1	no	—
1171	#127	—	13	1	no	—
1172	#127	—	13	1	no	—
1173	#127	—	13	1	no	—
1174	#127	—	13	1	no	—
1175	#127	—	13	1	no	—
1176	#127	—	13	1	no	—
1177	#127	—	13	1	no	—
1178	#127	—	26	1	no	—
1179	#127	—	26	1	no	—
1180	#127	—	26	1	no	—
1181	#126	—	2	1	no	—
1182	#126	—	2	1	no	—
1183	#126	—	13	1	no	—
1184	#126	—	13	1	no	—
1185	#126	—	26	1	no	—
1186	#126	—	26	1	no	—
1187	#126	—	26	1	no	—
1188	#125	—	13	1	no	—
1189	#125	—	13	1	no	—
1190	#125	—	26	1	no	—
1191	#125	C₂²×D₁₃	1	1	yes	characteristic
1192	#125	C₂²×D₁₃	1	1	yes	characteristic
1193	#124	—	13	1	no	—
1194	#124	—	13	1	no	—
1195	#124	—	13	1	no	—
1196	#124	—	13	1	no	—
1197	#124	—	26	1	no	—
1198	#124	—	26	1	no	—
1199	#124	—	26	1	no	—
1200	#124	C₂²×D₁₃	1	1	yes	characteristic
1201	#124	C₂²×D₁₃	1	1	yes	characteristic
1202	#123	—	2	1	no	—
1203	#123	—	2	1	no	—
1204	#123	—	13	1	no	—
1205	#123	—	13	1	no	—
1206	#123	—	26	1	no	—
1207	#123	—	26	1	no	—
1208	#123	—	26	1	no	—
1209	#123	—	26	1	no	—
1210	#123	—	26	1	no	—
1211	#123	—	26	1	no	—
1212	#123	—	26	1	no	—
1213	#123	—	26	1	no	—
1214	#123	—	26	1	no	—
1215	#123	—	26	1	no	—
1216	#123	—	26	1	no	—
1217	#123	—	26	1	no	—
1218	#123	—	26	1	no	—
1219	#123	—	26	1	no	—
1220	#123	—	26	1	no	—
1221	#123	—	26	1	no	—
1222	#123	—	26	1	no	—
1223	#123	—	26	1	no	—
1224	#123	—	26	1	no	—
1225	C₂²⋊Q₈	—	13	1	no	—
1226	C₂²⋊Q₈	—	13	1	no	—
1227	C₂²⋊Q₈	—	26	1	no	—
1228	C₂²⋊Q₈	—	26	1	no	—
1229	C₂²⋊Q₈	—	26	1	no	—
1230	C₂²⋊Q₈	—	26	1	no	—
1231	C₂²⋊Q₈	—	26	1	no	—
1232	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1233	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1234	#121	—	13	1	no	—
1235	#121	—	13	1	no	—
1236	#121	—	13	1	no	—
1237	#121	—	13	1	no	—
1238	#121	—	13	1	no	—
1239	#121	—	13	1	no	—
1240	#121	—	13	1	no	—
1241	#121	—	13	1	no	—
1242	#121	—	26	1	no	—
1243	#121	—	26	1	no	—
1244	#121	—	26	1	no	—
1245	#121	—	26	1	no	—
1246	#121	—	26	1	no	—
1247	#121	—	26	1	no	—
1248	#121	—	26	1	no	—
1249	#121	—	26	1	no	—
1250	#121	—	26	1	no	—
1251	#121	—	26	1	no	—
1252	#121	—	26	1	no	—
1253	#121	—	26	1	no	—
1254	#121	—	26	1	no	—
1255	#121	—	26	1	no	—
1256	#121	—	26	1	no	—
1257	#121	—	26	1	no	—
1258	#121	—	26	1	no	—
1259	#121	—	26	1	no	—
1260	#121	—	26	1	no	—
1261	#121	—	26	1	no	—
1262	#121	—	26	1	no	—
1263	#121	—	26	1	no	—
1264	#121	—	26	1	no	—
1265	#121	—	26	1	no	—
1266	#121	C₂²×D₁₃	1	1	yes	characteristic
1267	#121	C₂²×D₁₃	1	1	yes	characteristic
1268	#120	—	26	1	no	—
1269	#120	—	26	1	no	—
1270	#120	—	26	1	no	—
1271	#120	—	26	1	no	—
1272	#120	—	26	1	no	—
1273	#120	—	26	1	no	—
1274	#120	—	26	1	no	—
1275	#120	—	26	1	no	—
1276	#120	—	26	1	no	—
1277	#120	—	26	1	no	—
1278	#120	—	26	1	no	—
1279	#120	—	26	1	no	—
1280	#120	—	26	1	no	—
1281	#120	—	26	1	no	—
1282	#120	—	26	1	no	—
1283	#120	—	26	1	no	—
1284	C₄×Q₈	—	13	1	no	—
1285	C₄×Q₈	—	13	1	no	—
1286	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1287	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1288	C₄×D₄	—	2	1	no	—
1289	C₄×D₄	—	2	1	no	—
1290	C₄×D₄	—	13	1	no	—
1291	C₄×D₄	—	13	1	no	—
1292	C₄×D₄	—	13	1	no	—
1293	C₄×D₄	—	13	1	no	—
1294	C₄×D₄	—	13	1	no	—
1295	C₄×D₄	—	13	1	no	—
1296	C₄×D₄	—	13	1	no	—
1297	C₄×D₄	—	13	1	no	—
1298	C₄×D₄	—	13	1	no	—
1299	C₄×D₄	—	13	1	no	—
1300	C₄×D₄	—	13	1	no	—
1301	C₄×D₄	—	13	1	no	—
1302	C₄×D₄	—	13	1	no	—
1303	C₄×D₄	—	13	1	no	—
1304	C₄×D₄	—	26	1	no	—
1305	C₄×D₄	—	26	1	no	—
1306	C₄×D₄	—	26	1	no	—
1307	C₄×D₄	—	26	1	no	—
1308	C₄×D₄	—	26	1	no	—
1309	C₄×D₄	—	26	1	no	—
1310	C₄×D₄	—	26	1	no	—
1311	C₄×D₄	—	26	1	no	—
1312	C₄×D₄	—	26	1	no	—
1313	C₄×D₄	—	26	1	no	—
1314	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1315	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1316	#117	—	2	1	no	—
1317	#117	—	2	1	no	—
1318	#117	—	13	1	no	—
1319	#117	—	13	1	no	—
1320	#117	—	13	1	no	—
1321	#117	—	26	1	no	—
1322	#117	—	26	1	no	—
1323	C₂×C₄⋊C₄	—	13	1	no	—
1324	C₂×C₄⋊C₄	—	13	1	no	—
1325	C₂×C₄⋊C₄	—	26	1	no	—
1326	C₂×C₄⋊C₄	—	26	1	no	—
1327	C₂×C₂²⋊C₄	—	26	1	no	—
1328	C₂×C₂²⋊C₄	—	26	1	no	—
1329	C₂×C₂²⋊C₄	—	26	1	no	—
1330	C₂×C₂²⋊C₄	—	26	1	no	—
1331	C₂×C₂²⋊C₄	—	26	1	no	—
1332	C₂×C₂²⋊C₄	—	26	1	no	—
1333	C₂×C₂²⋊C₄	—	26	1	no	—
1334	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1335	#107	—	13	1	no	—
1336	#107	—	13	1	no	—
1337	#107	C₂²×D₁₃	1	1	yes	characteristic
1338	#107	C₂²×D₁₃	1	1	yes	characteristic
1339	#106	—	13	1	no	—
1340	#106	—	13	1	no	—
1341	#106	C₂²×D₁₃	1	1	yes	characteristic
1342	#106	C₂²×D₁₃	1	1	yes	characteristic
1343	C₄⋊C₈	—	13	1	no	—
1344	C₄⋊C₈	—	13	1	no	—
1345	C₄⋊C₈	—	13	1	no	—
1346	C₄⋊C₈	—	13	1	no	—
1347	C₄⋊C₈	—	13	1	no	—
1348	C₄⋊C₈	—	13	1	no	—
1349	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1350	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1351	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1352	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1353	#103	—	13	1	no	—
1354	#103	—	13	1	no	—
1355	#103	C₂²×D₁₃	1	1	yes	characteristic
1356	#103	C₂²×D₁₃	1	1	yes	characteristic
1357	#103	C₂²×D₁₃	1	1	yes	characteristic
1358	#103	C₂²×D₁₃	1	1	yes	characteristic
1359	#102	—	13	1	no	—
1360	#102	—	13	1	no	—
1361	#102	—	13	1	no	—
1362	#102	—	13	1	no	—
1363	#102	—	13	1	no	—
1364	#102	—	13	1	no	—
1365	#102	—	13	1	no	—
1366	#102	—	13	1	no	—
1367	#102	—	13	1	no	—
1368	#102	—	13	1	no	—
1369	#102	—	13	1	no	—
1370	#102	—	13	1	no	—
1371	#102	—	13	1	no	—
1372	#102	—	13	1	no	—
1373	#102	—	13	1	no	—
1374	#102	—	13	1	no	—
1375	#102	—	13	1	no	—
1376	#102	—	13	1	no	—
1377	#102	—	13	1	no	—
1378	#102	—	13	1	no	—
1379	#102	—	13	1	no	—
1380	#102	—	13	1	no	—
1381	#102	C₂²×D₁₃	1	1	yes	characteristic
1382	#102	C₂²×D₁₃	1	1	yes	characteristic
1383	#102	C₂²×D₁₃	1	1	yes	characteristic
1384	#102	C₂²×D₁₃	1	1	yes	characteristic
1385	C₂²⋊C₈	—	13	1	no	—
1386	C₂²⋊C₈	—	13	1	no	—
1387	C₂²⋊C₈	—	13	1	no	—
1388	C₂²⋊C₈	—	13	1	no	—
1389	C₂²⋊C₈	—	13	1	no	—
1390	C₂²⋊C₈	—	13	1	no	—
1391	#97	—	13	1	no	—
1392	#97	—	13	1	no	—
1393	#97	—	13	1	no	—
1394	#97	—	13	1	no	—
1395	C₄×C₈	—	13	1	no	—
1396	C₄×C₈	—	13	1	no	—
1397	C₂×C₁₃	—	2	2	no	—
1398	C₂×C₁₃	—	8	1	no	—
1399	C₂×C₁₃	—	8	1	no	—
1400	C₂×C₁₃	#3488	1	1	yes	characteristic
1401	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1402	C₂×C₁₃	#3585	1	1	yes	characteristic
1403	D₁₃	—	4	1	no	—
1404	D₁₃	—	4	1	no	—
1405	D₁₃	—	4	2	no	—
1406	D₁₃	—	8	1	no	—
1407	D₁₃	—	8	1	no	—
1408	D₁₃	—	8	1	no	—
1409	D₁₃	—	8	1	no	—
1410	D₁₃	—	8	1	no	—
1411	C₂⁴	—	26	1	no	—
1412	C₂⁴	—	26	1	no	—
1413	C₂⁴	—	26	1	no	—
1414	C₂⁴	—	26	1	no	—
1415	C₂⁴	—	26	1	no	—
1416	C₂⁴	—	26	1	no	—
1417	#41	—	26	2	no	—
1418	#41	—	52	1	no	—
1419	#41	—	52	1	no	—
1420	#41	—	52	1	no	—
1421	#41	—	52	1	no	—
1422	#41	—	52	1	no	—
1423	#41	—	104	2	no	—
1424	#41	—	104	2	no	—
1425	C₂×Q₈	—	13	1	no	—
1426	C₂×Q₈	—	26	1	no	—
1427	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1428	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1429	C₂×D₄	—	2	1	no	—
1430	C₂×D₄	—	2	1	no	—
1431	C₂×D₄	—	13	1	no	—
1432	C₂×D₄	—	13	1	no	—
1433	C₂×D₄	—	13	1	no	—
1434	C₂×D₄	—	13	1	no	—
1435	C₂×D₄	—	13	1	no	—
1436	C₂×D₄	—	13	1	no	—
1437	C₂×D₄	—	13	1	no	—
1438	C₂×D₄	—	13	1	no	—
1439	C₂×D₄	—	13	1	no	—
1440	C₂×D₄	—	26	2	no	—
1441	C₂×D₄	—	26	1	no	—
1442	C₂×D₄	—	26	1	no	—
1443	C₂×D₄	—	26	1	no	—
1444	C₂×D₄	—	26	1	no	—
1445	C₂×D₄	—	26	1	no	—
1446	C₂×D₄	—	26	1	no	—
1447	C₂×D₄	—	26	1	no	—
1448	C₂×D₄	—	26	1	no	—
1449	C₂×D₄	—	26	1	no	—
1450	C₂×D₄	—	26	1	no	—
1451	C₂×D₄	—	26	1	no	—
1452	C₂×D₄	—	26	1	no	—
1453	C₂×D₄	—	26	1	no	—
1454	C₂×D₄	—	26	1	no	—
1455	C₂×D₄	—	26	1	no	—
1456	C₂×D₄	—	26	1	no	—
1457	C₂×D₄	—	26	1	no	—
1458	C₂×D₄	—	26	1	no	—
1459	C₂×D₄	—	26	2	no	—
1460	C₂×D₄	—	26	1	no	—
1461	C₂×D₄	—	26	1	no	—
1462	C₂×D₄	—	26	1	no	—
1463	C₂×D₄	—	26	1	no	—
1464	C₂×D₄	—	26	1	no	—
1465	C₂×D₄	—	26	1	no	—
1466	C₂×D₄	—	26	1	no	—
1467	C₂×D₄	—	26	1	no	—
1468	C₂×D₄	—	26	1	no	—
1469	C₂×D₄	—	26	1	no	—
1470	C₂×D₄	—	26	1	no	—
1471	C₂×D₄	—	26	1	no	—
1472	C₂×D₄	—	52	1	no	—
1473	C₂×D₄	—	52	1	no	—
1474	C₂×D₄	—	52	1	no	—
1475	C₂×D₄	—	52	1	no	—
1476	C₂×D₄	—	52	1	no	—
1477	C₂×D₄	—	52	1	no	—
1478	C₂×D₄	—	52	1	no	—
1479	C₂×D₄	—	52	1	no	—
1480	C₂×D₄	—	52	1	no	—
1481	C₂×D₄	—	52	1	no	—
1482	C₂×D₄	—	104	2	no	—
1483	C₂×D₄	—	104	2	no	—
1484	C₂×D₄	—	104	2	no	—
1485	C₂×D₄	—	104	2	no	—
1486	C₂×D₄	—	104	2	no	—
1487	C₂×D₄	—	104	2	no	—
1488	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1489	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1490	C₂²×C₄	—	2	1	no	—
1491	C₂²×C₄	—	2	1	no	—
1492	C₂²×C₄	—	13	1	no	—
1493	C₂²×C₄	—	13	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	—	26	1	no	—
1500	C₂²×C₄	—	26	1	no	—
1501	C₂²×C₄	—	26	1	no	—
1502	C₂²×C₄	—	26	1	no	—
1503	C₂²×C₄	—	26	1	no	—
1504	C₂²×C₄	—	26	1	no	—
1505	C₂²×C₄	—	26	1	no	—
1506	C₂²×C₄	—	26	1	no	—
1507	C₂²×C₄	—	26	1	no	—
1508	C₂²×C₄	—	26	1	no	—
1509	C₂²×C₄	—	26	1	no	—
1510	C₂²×C₄	—	104	2	no	—
1511	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1512	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1513	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1514	Q₁₆	—	4	1	no	—
1515	SD₁₆	—	4	1	no	—
1516	SD₁₆	—	4	1	no	—
1517	SD₁₆	—	26	2	no	—
1518	SD₁₆	—	52	1	no	—
1519	SD₁₆	—	52	1	no	—
1520	SD₁₆	—	52	1	no	—
1521	SD₁₆	—	52	1	no	—
1522	SD₁₆	—	52	1	no	—
1523	D₈	—	4	1	no	—
1524	D₈	—	26	2	no	—
1525	D₈	—	26	2	no	—
1526	D₈	—	26	2	no	—
1527	D₈	—	26	2	no	—
1528	D₈	—	26	2	no	—
1529	D₈	—	52	1	no	—
1530	D₈	—	52	1	no	—
1531	D₈	—	52	1	no	—
1532	D₈	—	52	1	no	—
1533	D₈	—	52	1	no	—
1534	D₈	—	52	1	no	—
1535	D₈	—	52	1	no	—
1536	D₈	—	52	1	no	—
1537	D₈	—	52	1	no	—
1538	M₁₆	—	52	1	no	—
1539	M₁₆	—	52	1	no	—
1540	C₂×C₈	—	4	1	no	—
1541	C₂×C₈	—	4	1	no	—
1542	C₂×C₈	—	13	1	no	—
1543	C₂×C₈	—	13	1	no	—
1544	C₂×C₈	—	13	1	no	—
1545	C₂×C₈	—	13	1	no	—
1546	C₂×C₈	—	52	1	no	—
1547	C₂×C₈	—	52	1	no	—
1548	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1549	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1550	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1551	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	2	1	no	—
1558	C₄⋊C₄	—	2	1	no	—
1559	C₄⋊C₄	—	2	1	no	—
1560	C₄⋊C₄	—	13	1	no	—
1561	C₄⋊C₄	—	13	1	no	—
1562	C₄⋊C₄	—	13	1	no	—
1563	C₄⋊C₄	—	13	1	no	—
1564	C₄⋊C₄	—	13	1	no	—
1565	C₄⋊C₄	—	13	1	no	—
1566	C₄⋊C₄	—	13	1	no	—
1567	C₄⋊C₄	—	13	1	no	—
1568	C₄⋊C₄	—	13	1	no	—
1569	C₄⋊C₄	—	13	1	no	—
1570	C₄⋊C₄	—	13	1	no	—
1571	C₄⋊C₄	—	13	1	no	—
1572	C₄⋊C₄	—	26	1	no	—
1573	C₄⋊C₄	—	26	1	no	—
1574	C₄⋊C₄	—	26	1	no	—
1575	C₄⋊C₄	—	26	1	no	—
1576	C₄⋊C₄	—	26	1	no	—
1577	C₄⋊C₄	—	26	1	no	—
1578	C₄⋊C₄	—	26	1	no	—
1579	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1580	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1581	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1582	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1583	C₂²⋊C₄	—	2	1	no	—
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	13	1	no	—
1594	C₂²⋊C₄	—	13	1	no	—
1595	C₂²⋊C₄	—	13	1	no	—
1596	C₂²⋊C₄	—	13	1	no	—
1597	C₂²⋊C₄	—	13	1	no	—
1598	C₂²⋊C₄	—	13	1	no	—
1599	C₂²⋊C₄	—	13	1	no	—
1600	C₂²⋊C₄	—	13	1	no	—
1601	C₂²⋊C₄	—	13	1	no	—
1602	C₂²⋊C₄	—	13	1	no	—
1603	C₂²⋊C₄	—	26	1	no	—
1604	C₂²⋊C₄	—	26	1	no	—
1605	C₂²⋊C₄	—	26	1	no	—
1606	C₂²⋊C₄	—	26	1	no	—
1607	C₂²⋊C₄	—	26	1	no	—
1608	C₂²⋊C₄	—	26	1	no	—
1609	C₂²⋊C₄	—	26	1	no	—
1610	C₂²⋊C₄	—	26	1	no	—
1611	C₂²⋊C₄	—	26	1	no	—
1612	C₂²⋊C₄	—	26	1	no	—
1613	C₂²⋊C₄	—	26	1	no	—
1614	C₂²⋊C₄	—	26	1	no	—
1615	C₂²⋊C₄	—	26	1	no	—
1616	C₂²⋊C₄	—	26	1	no	—
1617	C₂²⋊C₄	—	26	1	no	—
1618	C₂²⋊C₄	—	26	1	no	—
1619	C₂²⋊C₄	—	26	1	no	—
1620	C₂²⋊C₄	—	26	1	no	—
1621	C₂²⋊C₄	—	26	1	no	—
1622	C₂²⋊C₄	—	26	1	no	—
1623	C₂²⋊C₄	—	26	1	no	—
1624	C₂²⋊C₄	—	26	1	no	—
1625	C₂²⋊C₄	—	26	1	no	—
1626	C₂²⋊C₄	—	26	1	no	—
1627	C₂²⋊C₄	—	26	1	no	—
1628	C₂²⋊C₄	—	26	1	no	—
1629	C₄²	—	2	1	no	—
1630	C₄²	—	2	1	no	—
1631	C₄²	—	13	1	no	—
1632	C₄²	—	13	1	no	—
1633	C₄²	—	26	1	no	—
1634	C₄²	—	26	1	no	—
1635	C₄²	D₄×D₁₃	1	1	yes	characteristic
1636	C₄²	D₄×D₁₃	1	1	yes	characteristic
1637	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1638	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1639	C₁₃	#62007	1	1	yes	characteristic, complemented, Sylow
1640	C₂³	—	2	1	no	—
1641	C₂³	—	2	1	no	—
1642	C₂³	—	13	1	no	—
1643	C₂³	—	13	1	no	—
1644	C₂³	—	26	1	no	—
1645	C₂³	—	26	1	no	—
1646	C₂³	—	26	1	no	—
1647	C₂³	—	26	1	no	—
1648	C₂³	—	26	1	no	—
1649	C₂³	—	26	1	no	—
1650	C₂³	—	52	2	no	—
1651	C₂³	—	52	2	no	—
1652	C₂³	—	52	2	no	—
1653	C₂³	—	52	2	no	—
1654	C₂³	—	52	2	no	—
1655	C₂³	—	104	1	no	—
1656	C₂³	—	104	1	no	—
1657	C₂³	—	104	1	no	—
1658	C₂³	—	104	1	no	—
1659	C₂³	—	104	1	no	—
1660	C₂³	—	104	1	no	—
1661	C₂³	—	104	1	no	—
1662	C₂³	—	104	1	no	—
1663	C₂³	—	104	1	no	—
1664	C₂³	—	104	1	no	—
1665	C₂³	—	104	1	no	—
1666	C₂³	—	104	1	no	—
1667	C₂³	—	104	1	no	—
1668	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1669	Q₈	—	2	1	no	—
1670	Q₈	—	2	1	no	—
1671	Q₈	—	2	1	no	—
1672	Q₈	—	2	1	no	—
1673	Q₈	—	52	1	no	—
1674	Q₈	—	104	1	no	—
1675	D₄	—	2	1	no	—
1676	D₄	—	2	1	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	2	1	no	—
1679	D₄	—	4	2	no	—
1680	D₄	—	4	2	no	—
1681	D₄	—	13	2	no	—
1682	D₄	—	26	2	no	—
1683	D₄	—	26	2	no	—
1684	D₄	—	26	1	no	—
1685	D₄	—	26	1	no	—
1686	D₄	—	26	1	no	—
1687	D₄	—	26	1	no	—
1688	D₄	—	26	1	no	—
1689	D₄	—	26	1	no	—
1690	D₄	—	26	1	no	—
1691	D₄	—	26	1	no	—
1692	D₄	—	26	1	no	—
1693	D₄	—	26	1	no	—
1694	D₄	—	26	1	no	—
1695	D₄	—	52	1	no	—
1696	D₄	—	52	2	no	—
1697	D₄	—	52	2	no	—
1698	D₄	—	52	2	no	—
1699	D₄	—	52	2	no	—
1700	D₄	—	52	2	no	—
1701	D₄	—	104	1	no	—
1702	D₄	—	104	1	no	—
1703	D₄	—	104	1	no	—
1704	D₄	—	104	1	no	—
1705	D₄	—	104	1	no	—
1706	D₄	—	104	1	no	—
1707	D₄	—	104	1	no	—
1708	D₄	—	104	1	no	—
1709	D₄	—	104	1	no	—
1710	D₄	—	104	1	no	—
1711	D₄	—	104	1	no	—
1712	D₄	—	104	1	no	—
1713	D₄	—	104	1	no	—
1714	D₄	—	104	1	no	—
1715	D₄	—	104	1	no	—
1716	D₄	—	104	1	no	—
1717	D₄	—	104	1	no	—
1718	D₄	—	104	1	no	—
1719	D₄	—	104	1	no	—
1720	D₄	—	104	1	no	—
1721	D₄	—	104	1	no	—
1722	D₄	—	104	1	no	—
1723	D₄	—	104	1	no	—
1724	D₄	—	104	1	no	—
1725	D₄	—	104	1	no	—
1726	C₂×C₄	—	2	2	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	4	1	no	—
1736	C₂×C₄	—	4	2	no	—
1737	C₂×C₄	—	8	1	no	—
1738	C₂×C₄	—	13	1	no	—
1739	C₂×C₄	—	13	1	no	—
1740	C₂×C₄	—	13	1	no	—
1741	C₂×C₄	—	13	1	no	—
1742	C₂×C₄	—	13	1	no	—
1743	C₂×C₄	—	13	1	no	—
1744	C₂×C₄	—	26	1	no	—
1745	C₂×C₄	—	26	1	no	—
1746	C₂×C₄	—	26	1	no	—
1747	C₂×C₄	—	26	1	no	—
1748	C₂×C₄	—	26	1	no	—
1749	C₂×C₄	—	26	1	no	—
1750	C₂×C₄	—	52	2	no	—
1751	C₂×C₄	—	52	2	no	—
1752	C₂×C₄	—	104	1	no	—
1753	C₂×C₄	—	104	1	no	—
1754	C₂×C₄	—	104	1	no	—
1755	C₂×C₄	—	104	1	no	—
1756	C₂×C₄	—	104	1	no	—
1757	C₂×C₄	—	104	1	no	—
1758	C₂×C₄	—	104	1	no	—
1759	C₂×C₄	—	104	1	no	—
1760	C₂×C₄	—	104	1	no	—
1761	C₂×C₄	—	104	1	no	—
1762	C₂×C₄	—	104	1	no	—
1763	C₂×C₄	—	104	1	no	—
1764	C₂×C₄	—	104	1	no	—
1765	C₂×C₄	—	104	1	no	—
1766	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1767	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1768	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1769	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1770	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1771	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1772	C₈	—	2	1	no	—
1773	C₈	—	2	1	no	—
1774	C₈	—	2	1	no	—
1775	C₈	—	2	1	no	—
1776	C₈	—	26	1	no	—
1777	C₈	—	26	1	no	—
1778	C₈	—	26	1	no	—
1779	C₈	—	26	1	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	4	1	no	—
1783	C₂²	—	4	1	no	—
1784	C₂²	—	4	1	no	—
1785	C₂²	—	4	1	no	—
1786	C₂²	—	4	1	no	—
1787	C₂²	—	4	1	no	—
1788	C₂²	—	26	1	no	—
1789	C₂²	—	26	1	no	—
1790	C₂²	—	26	2	no	—
1791	C₂²	—	26	1	no	—
1792	C₂²	—	26	1	no	—
1793	C₂²	—	26	1	no	—
1794	C₂²	—	26	1	no	—
1795	C₂²	—	52	1	no	—
1796	C₂²	—	52	1	no	—
1797	C₂²	—	52	1	no	—
1798	C₂²	—	52	1	no	—
1799	C₂²	—	52	1	no	—
1800	C₂²	—	52	1	no	—
1801	C₂²	—	52	1	no	—
1802	C₂²	—	52	1	no	—
1803	C₂²	—	52	1	no	—
1804	C₂²	—	52	1	no	—
1805	C₂²	—	52	1	no	—
1806	C₂²	—	52	1	no	—
1807	C₂²	—	52	1	no	—
1808	C₂²	—	52	1	no	—
1809	C₂²	—	52	1	no	—
1810	C₂²	—	52	1	no	—
1811	C₂²	—	52	1	no	—
1812	C₂²	—	104	4	no	—
1813	C₂²	—	208	2	no	—
1814	C₂²	—	208	2	no	—
1815	C₂²	—	208	2	no	—
1816	C₂²	—	208	2	no	—
1817	C₂²	—	208	2	no	—
1818	C₂²	#11719474	1	2	yes	—
1819	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1820	C₄	—	2	1	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	1	no	—
1823	C₄	—	2	1	no	—
1824	C₄	—	2	1	no	—
1825	C₄	—	4	1	no	—
1826	C₄	—	4	1	no	—
1827	C₄	—	4	1	no	—
1828	C₄	—	4	1	no	—
1829	C₄	—	4	1	no	—
1830	C₄	—	4	1	no	—
1831	C₄	—	26	1	no	—
1832	C₄	—	26	1	no	—
1833	C₄	—	26	1	no	—
1834	C₄	—	26	1	no	—
1835	C₄	—	26	1	no	—
1836	C₄	—	26	1	no	—
1837	C₄	—	52	1	no	—
1838	C₄	—	52	1	no	—
1839	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1840	C₄	#11719652	1	1	yes	characteristic
1841	C₂	—	2	2	no	—
1842	C₂	—	8	1	no	—
1843	C₂	—	8	1	no	—
1844	C₂	—	52	1	no	—
1845	C₂	—	52	1	no	—
1846	C₂	—	52	2	no	—
1847	C₂	—	104	1	no	—
1848	C₂	—	104	1	no	—
1849	C₂	—	104	1	no	—
1850	C₂	—	104	1	no	—
1851	C₂	—	104	1	no	—
1852	C₂	#13128500	1	1	yes	characteristic
1853	C₂	C₂×#11719474	1	1	yes	characteristic
1854	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×#3250	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3250	D₁₃
hypocenter	C₁₃	#62007
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3250

Complements

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

N	H ≅ G/N	type
1. #13129166	C₂	semidirect
2. #13128770	C₂	semidirect
3. #13127923	C₂	semidirect
4. #13127873	C₂	semidirect
5. #13127592	C₂	semidirect
6. #13127546	C₂	semidirect
7. #13126974	C₂	semidirect
8. #13126863	C₂	semidirect
9. #13126839	C₂	semidirect
10. #13126803	C₂	semidirect
11. #13126677	C₂	semidirect
12. #13126644	C₂	semidirect
13. #13126518	C₂	semidirect
14. #13126510	C₂	semidirect
15. #13126371	C₂	semidirect
16. #13126322	C₂	semidirect
17. #13126313	C₂	semidirect
18. #13126313	C₂	semidirect
19. #13126274	C₂	semidirect
20. #13126253	C₂	semidirect
21. #13125937	C₂	semidirect
22. #13125883	C₂	semidirect
23. #13125851	C₂	semidirect
24. #13125081	C₂	semidirect
25. #13125042	C₂	semidirect
26. #13124970	C₂	semidirect
27. #13124378	C₂	semidirect
28. #13124337	C₂	semidirect
29. C₂×#11718504	C₂	semidirect
30. #13123972	C₂	semidirect
31. C₁₃×#3250	C₂	semidirect
32. C₁₃×#529	C₂²	semidirect
33. C₁₃×#529	C₂²	semidirect
34. C₂×#88173	C₂²	semidirect
35. C₂×#88168	C₂²	semidirect
36. C₂×#88168	C₂²	semidirect
37. C₂×D₈×D₁₃	C₂²	semidirect
38. C₂²×D₁₀₄	C₂²	semidirect
39. C₂²×D₁₀₄	C₂²	semidirect
44. #11719403	C₂²	semidirect
45. #11719403	C₂²	semidirect
46. #11719400	C₂²	semidirect
47. #11719395	C₂²	semidirect
48. #11719386	C₂²	semidirect
49. #11719381	C₂²	semidirect
50. #11719379	C₂²	semidirect
51. #11719379	C₂²	semidirect
56. #11719347	C₂²	semidirect
58. #11719335	C₂²	semidirect
59. #11719335	C₂²	semidirect
60. #11719316	C₂²	semidirect
62. #11719314	C₂²	semidirect
63. #11719314	C₂²	semidirect
64. #11719290	C₂²	semidirect
65. #11719287	C₂²	semidirect
66. #11719282	C₂²	semidirect
67. #11719279	C₂²	semidirect
68. #11719267	C₂²	semidirect
71. #11719258	C₂²	semidirect
74. D₄×D₅₂	C₂²	semidirect
75. #11719250	C₂²	semidirect
81. C₂×#88128	C₂²	semidirect
82. C₂×C₄×D₅₂	C₂²	semidirect
83. C₁₃×#479	C₂²	semidirect
84. C₁₃×#479	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#478	C₂²	semidirect
87. C₁₃×#467	C₂²	semidirect
89. C₁₃×#465	C₂²	semidirect
90. C₁₃×#465	C₂²	semidirect
91. C₁₃×#464	C₂²	semidirect
92. C₁₃×#464	C₂²	semidirect
93. C₁₃×#463	C₂²	semidirect
94. C₁₃×#463	C₂²	semidirect
95. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
96. #11718852	C₂²	semidirect
97. #11718848	C₂²	semidirect
98. #11718846	C₂²	semidirect
99. #11718837	C₂²	semidirect
100. #11718837	C₂²	semidirect
101. #11718833	C₂²	semidirect
102. #11718830	C₂²	semidirect
103. #11718826	C₂²	semidirect
104. #11718824	C₂²	semidirect
105. #11718817	C₂²	semidirect
106. #11718812	C₂²	semidirect
107. #11718811	C₂²	semidirect
108. C₂×#88061	C₂²	semidirect
109. C₂×#88061	C₂²	semidirect
110. #11718772	C₂²	semidirect
111. #11718772	C₂²	semidirect
112. C₈×C₂²⋊D₁₃	C₂²	semidirect
113. C₈×C₂²⋊D₁₃	C₂²	semidirect
114. #11718728	C₂²	semidirect
115. #11718728	C₂²	semidirect
116. #11718727	C₂²	semidirect
117. #11718727	C₂²	semidirect
118. #11718719	C₂²	semidirect
119. #11718719	C₂²	semidirect
120. #11718718	C₂²	semidirect
121. #11718718	C₂²	semidirect
122. #11718707	C₂²	semidirect
123. #11718707	C₂²	semidirect
124. #11718707	C₂²	semidirect
125. #11718704	C₂²	semidirect
127. #11718697	C₂²	semidirect
128. #11718697	C₂²	semidirect
129. #11718694	C₂²	semidirect
130. #11718688	C₂²	semidirect
131. #11718688	C₂²	semidirect
132. #11718687	C₂²	semidirect
133. #11718687	C₂²	semidirect
134. #11718676	C₂²	semidirect
135. #11718676	C₂²	semidirect
136. #11718675	C₂²	semidirect
137. #11718675	C₂²	semidirect
138. #11718587	C₂²	semidirect
139. #11718552	C₂²	semidirect
140. #11718551	C₂²	semidirect
141. #11718546	C₂²	semidirect
142. #11718544	C₂²	semidirect
143. #11718544	C₂²	semidirect
144. #11718543	C₂²	semidirect
145. #11718533	C₂²	semidirect
146. #11718533	C₂²	semidirect
147. #11718532	C₂²	semidirect
148. #11718531	C₂²	semidirect
149. #11718530	C₂²	semidirect
150. #11718530	C₂²	semidirect
151. #11718527	C₂²	semidirect
152. #11718526	C₂²	semidirect
153. #11718526	C₂²	semidirect
154. #11718524	C₂²	semidirect
156. #11718504	C₂²	semidirect
157. #11718504	C₂²	semidirect
158. #11718504	C₂²	semidirect
159. #11718504	C₂²	semidirect
160. #11718504	C₂²	semidirect
161. #11718504	C₂²	semidirect
162. #11718504	C₂²	semidirect
163. #11718501	C₂²	semidirect
164. #11718501	C₂²	semidirect
165. #11718500	C₂²	semidirect
166. #11718500	C₂²	semidirect
167. #11718497	C₂²	semidirect
168. #11718497	C₂²	semidirect
169. #11718489	C₂²	semidirect
170. #11718489	C₂²	semidirect
171. #11718480	C₂²	semidirect
172. #11718480	C₂²	semidirect
173. #11718480	C₂²	semidirect
174. #11718480	C₂²	semidirect
175. #11718478	C₂²	semidirect
176. #11718473	C₂²	semidirect
177. #11718472	C₂²	semidirect
178. #11718472	C₂²	semidirect
179. #11718472	C₂²	semidirect
180. #11718472	C₂²	semidirect
181. #11718468	C₂²	semidirect
182. #11718465	C₂²	semidirect
183. #11718464	C₂²	semidirect
184. #11718461	C₂²	semidirect
185. #11718456	C₂²	semidirect
186. #11718449	C₂²	semidirect
187. #11718447	C₂²	semidirect
188. #11718447	C₂²	semidirect
189. #11718447	C₂²	semidirect
190. #11718447	C₂²	semidirect
191. #11718446	C₂²	semidirect
192. #11718443	C₂²	semidirect
193. #11718436	C₂²	semidirect
194. #11718434	C₂²	semidirect
195. #11718434	C₂²	semidirect
196. #11718434	C₂²	semidirect
197. #11718434	C₂²	semidirect
198. #11718431	C₂²	semidirect
199. D₁₃×#102	C₂²	semidirect
200. #11718425	C₂²	semidirect
201. #11718421	C₂²	semidirect
202. #11718417	C₂²	semidirect
733. #3250	D₁₃	semidirect
928. #529	C₂×D₁₃	semidirect
929. #529	C₂×D₁₃	semidirect
953. #479	C₂×D₁₃	semidirect
954. #479	C₂×D₁₃	semidirect
959. #478	C₂×D₁₃	semidirect
960. #478	C₂×D₁₃	semidirect
967. #467	C₂×D₁₃	semidirect
973. #465	C₂×D₁₃	semidirect
974. #465	C₂×D₁₃	semidirect
976. #464	C₂×D₁₃	semidirect
977. #464	C₂×D₁₃	semidirect
985. #463	C₂×D₁₃	semidirect
986. #463	C₂×D₁₃	semidirect
1048. C₂×C₄⋊C₈	C₂×D₁₃	semidirect
1639. C₁₃	#62007	semidirect

Maximal subgroups

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

subgroup	index
#13129166	2
#13128770	2
#13127923	2
#13127873	2
#13127592	2
#13127546	2
#13126974	2
#13126863	2
#13126839	2
#13126803	2
#13126677	2
#13126644	2
#13126518	2
#13126510	2
#13126371	2
#13126322	2
#13126313	2
#13126274	2
#13126253	2
#13125937	2
#13125883	2
#13125851	2
#13125081	2
#13125042	2
#13124970	2
#13124378	2
#13124337	2
C₂×#11718504	2
#13123972	2
C₁₃×#3250	2
#62007	13