Subgroups — #16758056

Order 3328.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129165	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128892	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127907	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127854	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127585	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127544	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127065	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127042	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126982	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126960	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126870	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126860	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126447	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126437	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126374	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126363	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126309	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126309	C₂	1	1	yes	maximal, characteristic, complemented
19	#13126282	C₂	1	1	yes	maximal, characteristic, complemented
20	#13126251	C₂	1	1	yes	maximal, characteristic, complemented
21	#13126236	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125927	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125910	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125853	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125040	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124950	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124370	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124339	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124311	C₂	1	1	yes	maximal, characteristic, complemented
30	#13124001	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3122	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#540	C₂²	1	1	yes	characteristic
33	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
34	#11719511	C₂²	1	1	yes	characteristic, complemented
35	#11719511	C₂²	1	1	yes	characteristic, complemented
36	C₂×#88186	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#6104	C₂²	1	1	yes	characteristic, complemented
38	C₂×#88166	C₂²	1	1	yes	characteristic, complemented
39	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
42	#11719420	C₂²	1	1	yes	characteristic, complemented
43	D₁₃×#127	C₂²	1	1	yes	characteristic, complemented
44	#11719403	C₂²	1	1	yes	characteristic, complemented
45	#11719396	C₂²	1	1	yes	characteristic, complemented
46	#11719371	—	2	1	no	—
47	#11719368	—	2	1	no	—
48	#11719359	—	2	1	no	—
49	#11719358	—	2	1	no	—
50	#11719325	—	2	1	no	—
51	#11719317	C₂²	1	1	yes	characteristic
52	#11719314	—	2	1	no	—
53	#11719314	C₂²	1	1	yes	characteristic
54	#11719314	C₂²	1	1	yes	characteristic
55	#11719312	—	2	1	no	—
56	#11719310	—	2	1	no	—
57	#11719304	C₂²	1	1	yes	characteristic
58	#11719269	—	2	1	no	—
59	#11719266	C₂²	1	1	yes	characteristic, complemented
60	#11719264	C₂²	1	1	yes	characteristic, complemented
61	#11719263	C₂²	1	1	yes	characteristic, complemented
62	#11719262	C₂²	1	1	yes	characteristic, complemented
63	#11719260	C₂²	1	1	yes	characteristic, complemented
64	#11719259	C₂²	1	1	yes	characteristic, complemented
65	#11719258	C₂²	1	1	yes	characteristic, complemented
66	D₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
67	#11719251	C₂²	1	1	yes	characteristic, complemented
68	#11719247	C₂²	1	1	yes	characteristic, complemented
69	#11719246	—	2	1	no	—
70	#11719245	—	2	1	no	—
71	#11719244	C₂²	1	1	yes	characteristic, complemented
72	#11719243	—	2	1	no	—
73	C₄×#6129	C₂²	1	1	yes	characteristic, complemented
74	#11719238	C₂²	1	1	yes	characteristic, complemented
75	#11719234	C₂²	1	1	yes	characteristic, complemented
76	#11719233	C₂²	1	1	yes	characteristic
77	#11719230	C₂²	1	1	yes	characteristic
78	#11719223	C₂²	1	1	yes	characteristic, complemented
79	#11719200	—	2	1	no	—
80	#11719200	—	2	1	no	—
81	#11719199	—	2	1	no	—
82	C₂×#88133	—	2	1	no	—
83	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#482	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×#459	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
93	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
96	#11718819	C₂²	1	1	yes	characteristic, complemented
97	#11718817	C₂²	1	1	yes	characteristic, complemented
98	#11718817	C₂²	1	1	yes	characteristic, complemented
99	#11718817	C₂²	1	1	yes	characteristic, complemented
100	#11718816	C₂²	1	1	yes	characteristic, complemented
101	#11718815	C₂²	1	1	yes	characteristic
102	#11718815	C₂²	1	1	yes	characteristic, complemented
103	#11718815	C₂²	1	1	yes	characteristic, complemented
104	#11718814	C₂²	1	1	yes	characteristic, complemented
105	#11718811	C₂²	1	1	yes	characteristic
106	#11718811	C₂²	1	1	yes	characteristic, complemented
107	#11718811	C₂²	1	1	yes	characteristic, complemented
108	#11718736	C₂²	1	1	yes	characteristic, complemented
109	#11718736	C₂²	1	1	yes	characteristic, complemented
110	#11718724	C₂²	1	1	yes	characteristic, complemented
111	#11718724	C₂²	1	1	yes	characteristic, complemented
112	#11718703	C₂²	1	1	yes	characteristic, complemented
113	#11718703	C₂²	1	1	yes	characteristic, complemented
114	#11718702	C₂²	1	1	yes	characteristic, complemented
115	#11718702	C₂²	1	1	yes	characteristic, complemented
116	#11718680	C₂²	1	1	yes	characteristic, complemented
117	#11718680	C₂²	1	1	yes	characteristic, complemented
118	#11718677	C₂²	1	1	yes	characteristic, complemented
119	#11718677	C₂²	1	1	yes	characteristic, complemented
120	#11718677	C₂²	1	1	yes	characteristic, complemented
121	#11718677	C₂²	1	1	yes	characteristic, complemented
122	#11718676	C₂²	1	1	yes	characteristic, complemented
123	#11718676	C₂²	1	1	yes	characteristic, complemented
124	#11718676	C₂²	1	1	yes	characteristic, complemented
125	#11718676	C₂²	1	1	yes	characteristic, complemented
126	#11718670	C₂²	1	1	yes	characteristic, complemented
127	#11718670	C₂²	1	1	yes	characteristic, complemented
128	#11718663	C₂²	1	1	yes	characteristic, complemented
129	#11718662	C₂²	1	1	yes	characteristic, complemented
130	#11718660	C₂²	1	1	yes	characteristic, complemented
131	#11718551	C₂²	1	1	yes	characteristic, complemented
132	#11718550	C₂²	1	1	yes	characteristic, complemented
133	#11718550	C₂²	1	1	yes	characteristic, complemented
134	#11718549	C₂²	1	1	yes	characteristic, complemented
135	#11718547	C₂²	1	1	yes	characteristic, complemented
136	#11718547	C₂²	1	1	yes	characteristic, complemented
137	#11718543	C₂²	1	1	yes	characteristic, complemented
138	#11718538	C₂²	1	1	yes	characteristic, complemented
139	#11718532	C₂²	1	1	yes	characteristic, complemented
140	#11718531	C₂²	1	1	yes	characteristic, complemented
141	#11718529	C₂²	1	1	yes	characteristic, complemented
142	#11718527	C₂²	1	1	yes	characteristic, complemented
143	#11718525	C₂²	1	1	yes	characteristic, complemented
144	#11718524	C₂²	1	1	yes	characteristic, complemented
145	#11718514	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718509	C₂²	1	1	yes	characteristic, complemented
148	#11718509	C₂²	1	1	yes	characteristic, complemented
149	#11718506	C₂²	1	1	yes	characteristic, complemented
150	#11718506	C₂²	1	1	yes	characteristic, complemented
151	#11718501	C₂²	1	1	yes	characteristic, complemented
152	#11718500	C₂²	1	1	yes	characteristic, complemented
153	#11718498	C₂²	1	1	yes	characteristic, complemented
154	#11718496	C₂²	1	1	yes	characteristic, complemented
155	#11718448	C₂²	1	1	yes	characteristic, complemented
156	#11718448	C₂²	1	1	yes	characteristic, complemented
157	#11718448	C₂²	1	1	yes	characteristic, complemented
158	#11718446	C₂²	1	1	yes	characteristic, complemented
159	#11718446	C₂²	1	1	yes	characteristic, complemented
160	#11718444	C₂²	1	1	yes	characteristic, complemented
161	#11718444	C₂²	1	1	yes	characteristic, complemented
162	#11718443	C₂²	1	1	yes	characteristic
163	#11718443	C₂²	1	1	yes	characteristic, complemented
164	#11718442	C₂²	1	1	yes	characteristic
165	#11718442	C₂²	1	1	yes	characteristic, complemented
166	#11718442	C₂²	1	1	yes	characteristic, complemented
167	#11718441	C₂²	1	1	yes	characteristic, complemented
168	#11718437	C₂²	1	1	yes	characteristic, complemented
169	#11718437	C₂²	1	1	yes	characteristic, complemented
170	#11718437	C₂²	1	1	yes	characteristic, complemented
171	#11718436	C₂²	1	1	yes	characteristic, complemented
172	#11718432	C₂²	1	1	yes	characteristic, complemented
173	#11718431	C₂²	1	1	yes	characteristic, complemented
174	#11718431	C₂²	1	1	yes	characteristic, complemented
175	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
176	#11718428	C₂²	1	1	yes	characteristic, complemented
177	#11718428	C₂²	1	1	yes	characteristic, complemented
178	#11718426	C₂²	1	1	yes	characteristic, complemented
179	#11718425	C₂²	1	1	yes	characteristic, complemented
180	#11718425	C₂²	1	1	yes	characteristic, complemented
181	#11718423	C₂²	1	1	yes	characteristic, complemented
182	#11718423	C₂²	1	1	yes	characteristic, complemented
183	#11718423	C₂²	1	1	yes	characteristic, complemented
184	#11718421	C₂²	1	1	yes	characteristic, complemented
185	#11718418	C₂²	1	1	yes	characteristic, complemented
186	#11718417	C₂²	1	1	yes	characteristic, complemented
187	#11718394	C₂²	1	1	yes	characteristic, complemented
188	#11718394	C₂²	1	1	yes	characteristic, complemented
189	#11718392	C₂²	1	1	yes	characteristic, complemented
190	#11718392	C₂²	1	1	yes	characteristic, complemented
191	#11718391	C₂²	1	1	yes	characteristic, complemented
192	#11718391	C₂²	1	1	yes	characteristic, complemented
193	#11718390	C₂²	1	1	yes	characteristic, complemented
194	#11718389	C₂²	1	1	yes	characteristic, complemented
195	#11718376	C₂²	1	1	yes	characteristic, complemented
196	#11718374	C₂²	1	1	yes	characteristic, complemented
197	#11718367	C₂²	1	1	yes	characteristic, complemented
198	#11718362	C₂²	1	1	yes	characteristic, complemented
199	#11718358	C₂²	1	1	yes	characteristic, complemented
200	#11718354	C₂²	1	1	yes	characteristic, complemented
201	#11718349	C₂²	1	1	yes	characteristic, complemented
202	#11718340	C₂²	1	1	yes	characteristic, complemented
203	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
204	C₂×#6129	C₂³	1	1	yes	characteristic
205	C₂×#6129	C₂³	1	1	yes	characteristic
206	C₂×#6129	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
211	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×#6127	—	2	1	no	—
215	C₂×#6127	C₂³	1	1	yes	characteristic
216	C₂²×D₅₂	—	2	1	no	—
217	C₂²×D₅₂	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
222	C₁₃×#127	C₂³	1	1	yes	characteristic
223	C₁₃×#125	C₂³	1	1	yes	characteristic
224	C₁₃×#123	—	2	1	no	—
225	C₁₃×#123	—	2	1	no	—
226	C₁₃×#121	—	2	1	no	—
227	C₁₃×#121	—	2	1	no	—
228	C₁₃×#121	C₂³	1	1	yes	characteristic
229	C₁₃×#121	C₂³	1	1	yes	characteristic
230	C₄×D₄×C₁₃	—	2	1	no	—
231	C₄×D₄×C₁₃	—	2	1	no	—
232	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
233	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
234	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₁₃×#117	C₂³	1	1	yes	characteristic
239	C₁₃×#117	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
241	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
242	#88207	—	2	1	no	—
243	#88207	—	2	1	no	—
244	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
245	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
246	#88194	—	2	1	no	—
247	#88194	—	2	1	no	—
248	#88194	—	2	1	no	—
249	#88194	C₂³	1	1	yes	characteristic
250	#88194	C₂³	1	1	yes	characteristic
251	#88194	C₂³	1	1	yes	characteristic
252	#88193	—	2	1	no	—
253	#88193	—	2	1	no	—
254	#88193	—	2	1	no	—
255	#88193	—	2	1	no	—
256	#88193	—	2	1	no	—
257	#88192	—	2	1	no	—
258	#88192	C₂³	1	1	yes	characteristic
259	#88192	C₂³	1	1	yes	characteristic
260	#88191	—	2	1	no	—
261	#88191	—	2	1	no	—
262	#88191	—	2	1	no	—
263	#88191	—	2	1	no	—
264	#88191	—	2	1	no	—
265	#88190	C₂³	1	1	yes	characteristic
266	#88190	C₂³	1	1	yes	characteristic
267	#88190	C₂³	1	1	yes	characteristic
268	#88189	—	2	1	no	—
269	#88189	—	2	1	no	—
270	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
271	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×#6105	C₂³	1	1	yes	characteristic
273	C₂×#6105	C₂³	1	1	yes	characteristic
274	C₂×#6105	C₂³	1	1	yes	characteristic
275	C₂×#6105	C₂³	1	1	yes	characteristic
276	C₂×#6105	C₂³	1	1	yes	characteristic
277	C₂×#6105	C₂³	1	1	yes	characteristic
278	#88186	—	4	2	no	—
279	C₂×#6104	—	4	2	no	—
280	C₂×#6104	C₂³	1	1	yes	characteristic
281	C₂×#6104	C₂³	1	1	yes	characteristic
282	C₂×#6104	C₂³	1	1	yes	characteristic
283	C₂×#6104	C₂³	1	1	yes	characteristic
284	C₂×#6104	C₂³	1	1	yes	characteristic
285	C₂×#6104	C₂³	1	1	yes	characteristic
286	#88184	—	2	1	no	—
287	#88184	—	2	1	no	—
288	#88184	—	2	1	no	—
289	#88184	—	2	1	no	—
290	#88183	—	2	1	no	—
291	#88183	—	2	1	no	—
292	#88183	—	2	1	no	—
293	C₄×C₂²⋊D₁₃	—	2	1	no	—
294	C₄×C₂²⋊D₁₃	—	2	1	no	—
295	C₄×C₂²⋊D₁₃	—	2	1	no	—
296	C₄×C₂²⋊D₁₃	—	2	1	no	—
297	C₄×C₂²⋊D₁₃	—	2	1	no	—
298	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
299	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
300	C₂×#6103	—	2	1	no	—
301	#88180	—	2	1	no	—
302	#88180	—	2	1	no	—
303	C₂×C₄⋊Dic₁₃	—	2	1	no	—
304	#88178	—	2	1	no	—
305	#88178	—	2	1	no	—
306	#88178	—	2	1	no	—
307	#88178	C₂³	1	1	yes	characteristic
308	#88178	C₂³	1	1	yes	characteristic
309	C₂×#6101	—	2	1	no	—
310	C₂×#6101	—	2	1	no	—
311	C₂×C₄×Dic₁₃	—	2	1	no	—
312	C₂×#6099	C₂³	1	1	yes	characteristic
313	C₂²×#1055	C₂³	1	1	yes	characteristic
314	#88166	—	4	2	no	—
315	#88165	—	4	2	no	—
316	#88165	—	4	2	no	—
317	#88165	—	4	2	no	—
318	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
319	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
320	C₂×#6095	C₂³	1	1	yes	characteristic
321	C₂×#6095	C₂³	1	1	yes	characteristic
322	C₂×#6095	C₂³	1	1	yes	characteristic
323	C₂×#6095	C₂³	1	1	yes	characteristic
324	C₂×#6095	C₂³	1	1	yes	characteristic
325	C₂×#6095	C₂³	1	1	yes	characteristic
326	C₂×#6094	C₂³	1	1	yes	characteristic
327	C₂×#6094	C₂³	1	1	yes	characteristic
328	C₂×#6094	C₂³	1	1	yes	characteristic
329	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
330	#88152	—	2	1	no	—
331	#88152	D₄	1	1	yes	characteristic
332	#88151	C₂³	1	1	yes	characteristic
333	#88151	C₂³	1	1	yes	characteristic
334	#88151	C₂³	1	1	yes	characteristic
335	#88150	D₄	1	1	yes	characteristic
336	#88149	—	2	1	no	—
337	#88149	—	2	1	no	—
338	#88149	—	2	1	no	—
339	#88149	—	2	1	no	—
340	#88149	C₂³	1	1	yes	characteristic
341	#88149	C₂³	1	1	yes	characteristic
342	#88149	C₂³	1	1	yes	characteristic
343	#88148	—	2	1	no	—
344	#88148	—	2	1	no	—
345	#88148	—	2	1	no	—
346	#88148	D₄	1	1	yes	characteristic
347	#88147	—	2	1	no	—
348	#88147	C₂³	1	1	yes	characteristic
349	#88147	C₂³	1	1	yes	characteristic
350	#88147	C₂³	1	1	yes	characteristic
351	#88146	—	2	1	no	—
352	#88146	C₂³	1	1	yes	characteristic
353	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
354	#88144	C₂³	1	1	yes	characteristic
355	#88143	—	2	1	no	—
356	#88143	—	2	1	no	—
357	#88143	D₄	1	1	yes	characteristic
358	#88142	C₂³	1	1	yes	characteristic
359	#88141	C₂³	1	1	yes	characteristic
360	#88141	C₂³	1	1	yes	characteristic
361	#88141	C₂³	1	1	yes	characteristic
362	#88140	—	2	1	no	—
363	#88140	—	2	1	no	—
364	#88140	—	2	1	no	—
365	#88139	—	2	1	no	—
366	#88139	—	2	1	no	—
367	#88139	—	2	1	no	—
368	#88139	D₄	1	1	yes	characteristic
369	#88138	—	2	1	no	—
370	#88138	—	2	1	no	—
371	#88138	—	2	1	no	—
372	#88138	—	2	1	no	—
373	#88138	—	2	1	no	—
374	#88138	—	2	1	no	—
375	#88138	D₄	1	1	yes	characteristic
376	#88137	—	2	1	no	—
377	#88137	—	2	1	no	—
378	#88137	—	2	1	no	—
379	#88137	—	2	1	no	—
380	#88137	D₄	1	1	yes	characteristic
381	#88136	—	2	1	no	—
382	#88136	—	2	1	no	—
383	#88136	—	2	1	no	—
384	#88136	—	2	1	no	—
385	#88136	—	2	1	no	—
386	#88136	—	2	1	no	—
387	#88136	—	2	1	no	—
388	#88135	—	2	1	no	—
389	#88135	—	2	1	no	—
390	#88135	—	2	1	no	—
391	C₂²⋊C₄×D₁₃	—	2	1	no	—
392	#88133	—	2	1	no	—
393	#88133	—	2	1	no	—
394	#88133	—	2	1	no	—
395	#88133	—	2	1	no	—
396	#88133	—	2	1	no	—
397	#88133	—	2	1	no	—
398	#88133	—	2	1	no	—
399	#88133	—	2	1	no	—
400	#88133	—	2	1	no	—
401	#88133	D₄	1	1	yes	characteristic
402	#88132	—	2	1	no	—
403	#88132	—	2	1	no	—
404	#88131	—	2	1	no	—
405	#88131	—	2	1	no	—
406	#88130	—	2	1	no	—
407	#88129	C₂³	1	1	yes	characteristic
408	#88129	C₂³	1	1	yes	characteristic
409	#88128	C₂³	1	1	yes	characteristic
410	#88128	C₂³	1	1	yes	characteristic
411	C₄×D₅₂	C₂³	1	1	yes	characteristic
412	#88126	—	2	1	no	—
413	#88126	C₂³	1	1	yes	characteristic
414	C₄²×D₁₃	C₂³	1	1	yes	characteristic
415	#88124	—	2	1	no	—
416	#88124	C₂³	1	1	yes	characteristic
417	#88123	C₂³	1	1	yes	characteristic
418	C₄×Dic₂₆	—	2	1	no	—
419	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
420	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
421	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
422	C₁₃×#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×#102	C₂³	1	1	yes	characteristic
429	C₁₃×#102	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	C₁₃×#102	C₂³	1	1	yes	characteristic
432	C₁₃×#102	C₂³	1	1	yes	characteristic
433	C₁₃×#102	C₂³	1	1	yes	characteristic
434	C₁₃×#102	C₂³	1	1	yes	characteristic
435	C₁₃×#102	C₂³	1	1	yes	characteristic
436	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
437	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
438	C₁₃×#97	C₂³	1	1	yes	characteristic
439	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
440	#88072	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#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	#88060	C₂³	1	1	yes	characteristic
451	#88060	C₂³	1	1	yes	characteristic
452	#88060	C₂³	1	1	yes	characteristic
453	#88060	C₂³	1	1	yes	characteristic
454	#88056	C₂³	1	1	yes	characteristic
455	#88056	C₂³	1	1	yes	characteristic
456	#88055	C₂³	1	1	yes	characteristic
457	#88055	C₂³	1	1	yes	characteristic
458	#88055	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	#88054	C₂³	1	1	yes	characteristic
463	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
464	#88050	C₂³	1	1	yes	characteristic
465	#88050	C₂³	1	1	yes	characteristic
466	#88050	C₂³	1	1	yes	characteristic
467	#88050	C₂³	1	1	yes	characteristic
468	#88050	C₂³	1	1	yes	characteristic
469	#88050	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	C₄⋊#1055	C₂³	1	1	yes	characteristic
483	C₄⋊#1055	C₂³	1	1	yes	characteristic
484	#62079	—	13	1	no	maximal, Sylow
485	C₂⁴×C₁₃	—	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	C₂×D₄×C₁₃	—	2	2	no	—
491	C₂×D₄×C₁₃	—	2	1	no	—
492	C₂×D₄×C₁₃	—	2	1	no	—
493	C₂×D₄×C₁₃	—	2	1	no	—
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	—	2	1	no	—
496	C₂×D₄×C₁₃	—	4	1	no	—
497	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄×C₁₃	—	2	1	no	—
502	C₂²×C₄×C₁₃	—	2	1	no	—
503	C₂²×C₄×C₁₃	—	2	1	no	—
504	C₂²×C₄×C₁₃	—	2	1	no	—
505	C₂²×C₄×C₁₃	—	2	1	no	—
506	C₂²×C₄×C₁₃	—	2	1	no	—
507	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
524	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
525	C₂²×Dic₁₃	—	2	1	no	—
526	C₂²×Dic₁₃	—	2	1	no	—
527	C₂²×Dic₁₃	—	2	1	no	—
528	C₂²×Dic₁₃	—	2	1	no	—
529	C₂²×Dic₁₃	—	2	1	no	—
530	#6129	—	2	2	no	—
531	#6129	—	2	2	no	—
532	#6129	—	4	1	no	—
533	#6129	—	4	1	no	—
534	#6129	—	4	1	no	—
535	#6129	—	4	1	no	—
536	D₄×D₁₃	—	4	1	no	—
537	D₄×D₁₃	—	4	1	no	—
538	D₄×D₁₃	—	4	1	no	—
539	D₄×D₁₃	—	4	1	no	—
540	D₄×D₁₃	—	4	1	no	—
541	D₄×D₁₃	—	4	1	no	—
542	D₄×D₁₃	—	8	2	no	—
543	D₄×D₁₃	—	8	2	no	—
544	D₄×D₁₃	—	8	2	no	—
545	D₄×D₁₃	—	8	2	no	—
546	#6127	—	4	1	no	—
547	#6127	—	4	1	no	—
548	#6127	—	8	2	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	—	2	1	no	—
555	C₂×D₅₂	—	2	1	no	—
556	C₂×D₅₂	—	2	1	no	—
557	C₂×D₅₂	—	4	1	no	—
558	C₂×D₅₂	—	4	1	no	—
559	C₂×D₅₂	—	8	2	no	—
560	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
561	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
562	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
563	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
564	C₂×C₄×D₁₃	—	2	1	no	—
565	C₂×C₄×D₁₃	—	2	1	no	—
566	C₂×C₄×D₁₃	—	2	1	no	—
567	C₂×C₄×D₁₃	—	2	1	no	—
568	C₂×C₄×D₁₃	—	2	1	no	—
569	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
570	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
571	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
572	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
573	C₂×Dic₂₆	—	2	1	no	—
574	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
575	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
576	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
577	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
578	C₁₃×D₈	—	2	2	no	—
579	C₁₃×D₈	—	2	2	no	—
580	C₁₃×D₈	—	4	1	no	—
581	C₁₃×D₈	—	4	1	no	—
582	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
586	C₁₃×C₄⋊C₄	—	2	1	no	—
587	C₁₃×C₄⋊C₄	—	2	1	no	—
588	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
589	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₁₃×C₂²⋊C₄	—	2	1	no	—
595	C₁₃×C₂²⋊C₄	—	2	1	no	—
596	C₁₃×C₂²⋊C₄	—	2	1	no	—
597	C₁₃×C₂²⋊C₄	—	2	1	no	—
598	C₁₃×C₂²⋊C₄	—	2	1	no	—
599	C₁₃×C₂²⋊C₄	—	2	1	no	—
600	C₁₃×C₂²⋊C₄	—	2	1	no	—
601	C₁₃×C₂²⋊C₄	—	2	1	no	—
602	C₁₃×C₂²⋊C₄	—	2	1	no	—
603	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₄²×C₁₃	—	2	1	no	—
606	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
607	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
608	C₂²⋊Dic₁₃	—	2	1	no	—
609	C₂²⋊Dic₁₃	—	2	1	no	—
610	C₂²⋊Dic₁₃	—	2	1	no	—
611	C₂²⋊Dic₁₃	—	2	1	no	—
612	C₂²⋊Dic₁₃	—	2	1	no	—
613	C₂²⋊Dic₁₃	—	2	1	no	—
614	C₂²⋊Dic₁₃	—	2	1	no	—
615	C₂²⋊Dic₁₃	—	2	1	no	—
616	C₂²⋊Dic₁₃	—	2	1	no	—
617	C₂²⋊Dic₁₃	—	2	1	no	—
618	C₂²⋊Dic₁₃	—	2	1	no	—
619	C₂²⋊Dic₁₃	—	2	1	no	—
620	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
621	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
622	#6105	—	2	2	no	—
623	#6105	—	4	1	no	—
624	#6105	—	4	1	no	—
625	#6105	—	4	1	no	—
626	#6105	—	4	1	no	—
627	#6105	—	4	1	no	—
628	#6104	—	2	2	no	—
629	#6104	—	2	2	no	—
630	#6104	—	2	2	no	—
631	#6104	—	4	1	no	—
632	#6104	—	4	1	no	—
633	#6104	—	4	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	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	C₂×D₄	1	1	yes	characteristic
649	#6103	C₂×D₄	1	1	yes	characteristic
650	#6103	C₂×D₄	1	1	yes	characteristic
651	#6103	C₂×D₄	1	1	yes	characteristic
652	#6103	C₂×D₄	1	1	yes	characteristic
653	#6103	C₂×D₄	1	1	yes	characteristic
654	C₄⋊Dic₁₃	—	2	1	no	—
655	C₄⋊Dic₁₃	—	2	1	no	—
656	C₄⋊Dic₁₃	—	2	1	no	—
657	C₄⋊Dic₁₃	—	2	1	no	—
658	C₄⋊Dic₁₃	—	2	1	no	—
659	C₄⋊Dic₁₃	—	2	1	no	—
660	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
661	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
662	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
663	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	—	2	1	no	—
674	#6101	—	2	1	no	—
675	#6101	—	2	1	no	—
676	#6101	C₂×D₄	1	1	yes	characteristic
677	#6101	C₂×D₄	1	1	yes	characteristic
678	#6101	C₂×D₄	1	1	yes	characteristic
679	#6101	C₂×D₄	1	1	yes	characteristic
680	#6101	C₂×D₄	1	1	yes	characteristic
681	#6101	C₂×D₄	1	1	yes	characteristic
682	C₄×Dic₁₃	—	2	1	no	—
683	C₄×Dic₁₃	—	2	1	no	—
684	C₄×Dic₁₃	—	2	1	no	—
685	C₄×Dic₁₃	—	2	1	no	—
686	C₄×Dic₁₃	—	2	1	no	—
687	C₄×Dic₁₃	—	2	1	no	—
688	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
689	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
691	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
692	#6099	—	4	1	no	—
693	C₂×#1055	—	4	1	no	—
694	C₂×#1055	C₂⁴	1	1	yes	characteristic
695	C₂×#1055	C₂⁴	1	1	yes	characteristic
696	C₂×#1055	C₂⁴	1	1	yes	characteristic
697	C₂×#1055	C₂⁴	1	1	yes	characteristic
698	Dic₅₂	—	4	1	no	—
699	Dic₅₂	—	4	1	no	—
700	#6095	—	4	1	no	—
701	#6095	—	4	1	no	—
702	#6095	—	4	1	no	—
703	#6095	—	4	1	no	—
704	#6095	—	4	1	no	—
705	#6095	—	4	1	no	—
706	#6094	—	4	1	no	—
707	#6094	—	4	1	no	—
708	#6094	—	4	1	no	—
709	C₈×D₁₃	—	4	1	no	—
710	#3543	—	13	1	no	—
711	#3521	—	13	1	no	—
712	#3401	—	13	1	no	—
713	#3397	—	13	1	no	—
714	#3370	—	13	1	no	—
715	#3366	—	13	1	no	—
716	#3324	—	13	1	no	—
717	#3322	—	13	1	no	—
718	#3318	—	13	1	no	—
719	#3317	—	13	1	no	—
720	#3311	—	13	1	no	—
721	#3310	—	13	1	no	—
722	#3273	—	13	1	no	—
723	#3272	—	13	1	no	—
724	#3268	—	13	1	no	—
725	#3267	—	13	1	no	—
726	#3264	—	13	1	no	—
727	#3264	—	13	1	no	—
728	#3260	—	13	1	no	—
729	#3257	—	13	1	no	—
730	#3256	—	13	1	no	—
731	#3224	—	13	1	no	—
732	#3222	—	13	1	no	—
733	#3217	—	13	1	no	—
734	#3122	D₁₃	1	1	yes	characteristic, complemented
735	#3119	—	13	1	no	—
736	#3111	—	13	1	no	—
737	#3045	—	13	1	no	—
738	#3041	—	13	1	no	—
739	#3038	—	13	1	no	—
740	#2995	—	13	1	no	—
741	C₂³×C₁₃	—	2	1	no	—
742	C₂³×C₁₃	—	2	1	no	—
743	C₂³×C₁₃	—	2	1	no	—
744	C₂³×C₁₃	—	2	1	no	—
745	C₂³×C₁₃	—	4	2	no	—
746	C₂³×C₁₃	—	8	1	no	—
747	C₂³×C₁₃	—	8	1	no	—
748	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
749	C₂²×D₁₃	—	2	1	no	—
750	C₂²×D₁₃	—	2	1	no	—
751	C₂²×D₁₃	—	2	1	no	—
752	C₂²×D₁₃	—	4	2	no	—
753	C₂²×D₁₃	—	4	2	no	—
754	C₂²×D₁₃	—	8	1	no	—
755	C₂²×D₁₃	—	8	1	no	—
756	C₂²×D₁₃	—	8	1	no	—
757	C₂²×D₁₃	—	8	1	no	—
758	C₂²×D₁₃	—	8	1	no	—
759	C₂²×D₁₃	—	8	1	no	—
760	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	C₂²×D₄	1	1	yes	characteristic
765	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
766	D₄×C₁₃	—	2	1	no	—
767	D₄×C₁₃	—	2	1	no	—
768	D₄×C₁₃	—	2	1	no	—
769	D₄×C₁₃	—	2	1	no	—
770	D₄×C₁₃	—	2	1	no	—
771	D₄×C₁₃	—	2	1	no	—
772	D₄×C₁₃	—	2	1	no	—
773	D₄×C₁₃	—	4	2	no	—
774	D₄×C₁₃	—	8	1	no	—
775	D₄×C₁₃	—	8	1	no	—
776	D₄×C₁₃	—	8	1	no	—
777	D₄×C₁₃	—	8	1	no	—
778	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
779	C₂×C₄×C₁₃	—	2	1	no	—
780	C₂×C₄×C₁₃	—	2	1	no	—
781	C₂×C₄×C₁₃	—	2	1	no	—
782	C₂×C₄×C₁₃	—	2	1	no	—
783	C₂×C₄×C₁₃	—	2	1	no	—
784	C₂×C₄×C₁₃	—	2	1	no	—
785	C₂×C₄×C₁₃	—	8	1	no	—
786	C₂×C₄×C₁₃	—	8	1	no	—
787	C₂×C₄×C₁₃	—	8	1	no	—
788	C₂×C₄×C₁₃	—	8	1	no	—
789	C₂×C₄×C₁₃	—	8	1	no	—
790	C₂×C₄×C₁₃	—	8	1	no	—
791	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
797	C₂²⋊D₁₃	—	4	1	no	—
798	C₂²⋊D₁₃	—	4	1	no	—
799	C₂²⋊D₁₃	—	4	2	no	—
800	C₂²⋊D₁₃	—	4	2	no	—
801	C₂²⋊D₁₃	—	4	2	no	—
802	C₂²⋊D₁₃	—	4	2	no	—
803	C₂²⋊D₁₃	—	8	1	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	C₂²⋊D₁₃	—	8	1	no	—
814	C₂×Dic₁₃	—	2	1	no	—
815	C₂×Dic₁₃	—	2	1	no	—
816	C₂×Dic₁₃	—	2	1	no	—
817	C₂×Dic₁₃	—	2	1	no	—
818	C₂×Dic₁₃	—	2	1	no	—
819	C₂×Dic₁₃	—	4	2	no	—
820	C₂×Dic₁₃	—	4	2	no	—
821	C₂×Dic₁₃	—	8	1	no	—
822	C₂×Dic₁₃	—	8	1	no	—
823	C₂×Dic₁₃	—	8	1	no	—
824	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
827	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
828	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
829	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
830	D₅₂	—	2	1	no	—
831	D₅₂	—	2	1	no	—
832	D₅₂	—	2	1	no	—
833	D₅₂	—	2	1	no	—
834	D₅₂	—	2	1	no	—
835	D₅₂	—	2	1	no	—
836	D₅₂	—	4	1	no	—
837	D₅₂	—	4	2	no	—
838	D₅₂	—	8	1	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	C₄×D₁₃	—	2	1	no	—
846	C₄×D₁₃	—	2	1	no	—
847	C₄×D₁₃	—	2	1	no	—
848	C₄×D₁₃	—	2	1	no	—
849	C₄×D₁₃	—	4	1	no	—
850	C₄×D₁₃	—	4	1	no	—
851	C₄×D₁₃	—	4	2	no	—
852	C₄×D₁₃	—	8	1	no	—
853	C₄×D₁₃	—	8	1	no	—
854	C₄×D₁₃	—	8	1	no	—
855	C₄×D₁₃	—	8	1	no	—
856	Dic₂₆	—	2	1	no	—
857	Dic₂₆	—	2	1	no	—
858	Dic₂₆	—	2	1	no	—
859	Dic₂₆	—	2	1	no	—
860	Dic₂₆	—	2	1	no	—
861	Dic₂₆	—	2	1	no	—
862	Dic₂₆	—	4	1	no	—
863	Dic₂₆	—	8	1	no	—
864	C₈×C₁₃	—	2	1	no	—
865	C₈×C₁₃	—	2	1	no	—
866	C₈×C₁₃	—	2	1	no	—
867	C₈×C₁₃	—	2	1	no	—
868	#1055	—	2	1	no	—
869	#1055	—	2	1	no	—
870	#1055	—	2	1	no	—
871	#1055	—	2	1	no	—
872	C₂×AGL(1,ℤ/8)	—	13	1	no	—
873	C₂×AGL(1,ℤ/8)	—	13	1	no	—
874	C₂×AGL(1,ℤ/8)	—	13	1	no	—
875	C₂×AGL(1,ℤ/8)	—	13	1	no	—
876	C₂×#135	—	13	1	no	—
877	C₂²×D₈	—	13	1	no	—
878	#560	—	26	1	no	—
879	#560	—	26	1	no	—
880	#559	—	13	1	no	—
881	#556	—	13	1	no	—
882	#556	—	13	1	no	—
883	#554	—	13	1	no	—
884	#553	—	13	1	no	—
885	#553	—	26	1	no	—
886	#552	—	13	1	no	—
887	#552	—	26	1	no	—
888	#551	—	26	1	no	—
889	#551	—	26	1	no	—
890	#550	—	13	1	no	—
891	#550	—	13	1	no	—
892	#547	—	13	1	no	—
893	#546	—	13	1	no	—
894	#546	—	13	1	no	—
895	#546	—	13	1	no	—
896	#546	—	13	1	no	—
897	#546	—	26	1	no	—
898	D₄²	—	13	1	no	—
899	D₄²	—	13	1	no	—
900	D₄²	—	13	1	no	—
901	D₄²	—	26	1	no	—
902	#542	—	13	1	no	—
903	#541	—	13	1	no	—
904	#540	—	13	1	no	—
905	#540	—	26	1	no	—
906	#540	C₂×D₁₃	1	1	yes	characteristic
907	#539	—	26	1	no	—
908	#538	—	26	1	no	—
909	#535	—	13	1	no	—
910	#535	—	13	1	no	—
911	#535	—	26	1	no	—
912	#534	—	26	1	no	—
913	#534	—	26	1	no	—
914	C₂×#127	—	13	1	no	—
915	#529	—	13	1	no	—
916	#529	—	13	1	no	—
917	#529	—	13	1	no	—
918	#529	—	26	1	no	—
919	C₂×#126	—	26	1	no	—
920	#520	—	13	1	no	—
921	#518	C₂×D₁₃	1	1	yes	characteristic, complemented
922	C₄×#41	—	13	1	no	—
923	#497	—	13	1	no	—
924	#496	—	13	1	no	—
925	#496	—	13	1	no	—
926	#496	—	13	1	no	—
927	#495	—	13	1	no	—
928	#492	—	13	1	no	—
929	#490	—	13	1	no	—
930	#490	—	13	1	no	—
931	#490	—	13	1	no	—
932	#489	—	13	1	no	—
933	#488	—	13	1	no	—
934	#486	—	13	1	no	—
935	#485	—	13	1	no	—
936	#482	—	13	1	no	—
937	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
938	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
939	#481	—	13	1	no	—
940	#480	—	13	1	no	—
941	#479	—	13	1	no	—
942	#479	—	13	1	no	—
943	#479	—	13	1	no	—
944	#478	—	13	1	no	—
945	#478	—	13	1	no	—
946	#478	—	13	1	no	—
947	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
948	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
949	#476	—	13	1	no	—
950	#474	—	13	1	no	—
951	#470	—	13	1	no	—
952	#469	—	13	1	no	—
953	#469	—	13	1	no	—
954	#468	—	13	1	no	—
955	#468	—	13	1	no	—
956	#468	—	13	1	no	—
957	#468	—	13	1	no	—
958	#468	—	13	1	no	—
959	#466	—	13	1	no	—
960	#465	—	13	1	no	—
961	#465	—	13	1	no	—
962	#465	—	13	1	no	—
963	#464	—	13	1	no	—
964	#464	—	13	1	no	—
965	#464	—	13	1	no	—
966	#464	—	13	1	no	—
967	#463	—	13	1	no	—
968	#463	—	13	1	no	—
969	#463	—	13	1	no	—
970	#463	—	13	1	no	—
971	#463	—	13	1	no	—
972	#463	—	13	1	no	—
973	#463	—	13	1	no	—
974	#463	—	13	1	no	—
975	#461	—	13	1	no	—
976	#461	—	13	1	no	—
977	#460	—	13	1	no	—
978	#460	—	13	1	no	—
979	#460	—	13	1	no	—
980	#460	—	13	1	no	—
981	#460	—	13	1	no	—
982	#460	—	13	1	no	—
983	#460	—	13	1	no	—
984	#459	—	13	1	no	—
985	#459	—	13	1	no	—
986	#459	—	13	1	no	—
987	#459	—	13	1	no	—
988	#459	—	13	1	no	—
989	#459	—	13	1	no	—
990	#459	—	13	1	no	—
991	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
992	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
993	#452	—	13	1	no	—
994	#452	—	13	1	no	—
995	#452	—	13	1	no	—
996	#452	—	13	1	no	—
997	#450	—	13	1	no	—
998	#450	—	13	1	no	—
999	#450	—	13	1	no	—
1000	#450	—	13	1	no	—
1001	#450	—	13	1	no	—
1002	#449	—	13	1	no	—
1003	#449	—	13	1	no	—
1004	#449	—	13	1	no	—
1005	#449	—	13	1	no	—
1006	#447	—	13	1	no	—
1007	#447	—	13	1	no	—
1008	#447	—	13	1	no	—
1009	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1010	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1011	#446	—	13	1	no	—
1012	#446	—	13	1	no	—
1013	#442	—	13	1	no	—
1014	#442	—	13	1	no	—
1015	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
1016	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
1017	#441	—	13	1	no	—
1018	#440	—	13	1	no	—
1019	#440	—	13	1	no	—
1020	#440	—	13	1	no	—
1021	C₄×SD₁₆	—	13	1	no	—
1022	C₄×D₈	—	13	1	no	—
1023	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1024	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1025	#436	—	13	1	no	—
1026	#436	—	13	1	no	—
1027	#435	—	13	1	no	—
1028	#435	—	13	1	no	—
1029	#435	—	13	1	no	—
1030	#435	—	13	1	no	—
1031	#433	—	13	1	no	—
1032	#433	C₂×D₁₃	1	1	yes	characteristic, complemented
1033	#432	—	13	1	no	—
1034	#424	—	13	1	no	—
1035	#424	—	13	1	no	—
1036	#423	—	13	1	no	—
1037	#418	—	13	1	no	—
1038	#418	—	13	1	no	—
1039	#418	—	13	1	no	—
1040	#417	—	13	1	no	—
1041	#416	—	13	1	no	—
1042	C₂×#102	—	13	1	no	—
1043	C₂²×C₁₃	—	2	1	no	—
1044	C₂²×C₁₃	—	2	1	no	—
1045	C₂²×C₁₃	—	2	2	no	—
1046	C₂²×C₁₃	—	2	1	no	—
1047	C₂²×C₁₃	—	4	1	no	—
1048	C₂²×C₁₃	—	4	1	no	—
1049	C₂²×C₁₃	—	4	1	no	—
1050	C₂²×C₁₃	—	4	1	no	—
1051	C₂²×C₁₃	—	4	1	no	—
1052	C₂²×C₁₃	—	4	1	no	—
1053	C₂²×C₁₃	—	4	1	no	—
1054	C₂²×C₁₃	—	4	1	no	—
1055	C₂²×C₁₃	—	4	1	no	—
1056	C₂²×C₁₃	—	4	1	no	—
1057	C₂²×C₁₃	—	4	1	no	—
1058	C₂²×C₁₃	—	16	2	no	—
1059	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1060	C₂×D₁₃	—	2	1	no	—
1061	C₂×D₁₃	—	2	1	no	—
1062	C₂×D₁₃	—	2	1	no	—
1063	C₂×D₁₃	—	2	1	no	—
1064	C₂×D₁₃	—	2	1	no	—
1065	C₂×D₁₃	—	2	1	no	—
1066	C₂×D₁₃	—	4	1	no	—
1067	C₂×D₁₃	—	4	1	no	—
1068	C₂×D₁₃	—	4	1	no	—
1069	C₂×D₁₃	—	4	1	no	—
1070	C₂×D₁₃	—	4	1	no	—
1071	C₂×D₁₃	—	4	1	no	—
1072	C₂×D₁₃	—	4	1	no	—
1073	C₂×D₁₃	—	4	1	no	—
1074	C₂×D₁₃	—	4	1	no	—
1075	C₂×D₁₃	—	16	2	no	—
1076	C₂×D₁₃	—	16	2	no	—
1077	C₂×D₁₃	—	16	2	no	—
1078	C₂×D₁₃	—	16	2	no	—
1079	C₄×C₁₃	—	2	1	no	—
1080	C₄×C₁₃	—	2	1	no	—
1081	C₄×C₁₃	—	2	1	no	—
1082	C₄×C₁₃	—	2	1	no	—
1083	C₄×C₁₃	—	2	1	no	—
1084	C₄×C₁₃	—	4	1	no	—
1085	C₄×C₁₃	—	4	1	no	—
1086	C₄×C₁₃	—	4	1	no	—
1087	C₄×C₁₃	—	4	1	no	—
1088	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1089	C₄×C₁₃	#585	1	1	yes	characteristic
1090	Dic₁₃	—	2	1	no	—
1091	Dic₁₃	—	2	1	no	—
1092	Dic₁₃	—	2	1	no	—
1093	Dic₁₃	—	2	1	no	—
1094	Dic₁₃	—	2	1	no	—
1095	Dic₁₃	—	2	1	no	—
1096	Dic₁₃	—	4	1	no	—
1097	Dic₁₃	—	4	1	no	—
1098	Dic₁₃	—	4	1	no	—
1099	Dic₁₃	—	4	1	no	—
1100	Dic₁₃	—	4	1	no	—
1101	C₂×#41	—	13	1	no	—
1102	C₂×#41	—	13	1	no	—
1103	C₂×#41	—	13	1	no	—
1104	C₂×#41	—	13	1	no	—
1105	C₂×#41	—	26	1	no	—
1106	C₂²×D₄	—	13	1	no	—
1107	C₂²×D₄	—	13	1	no	—
1108	C₂²×D₄	—	13	1	no	—
1109	C₂²×D₄	—	13	1	no	—
1110	C₂²×D₄	—	26	1	no	—
1111	C₂²×D₄	—	26	1	no	—
1112	C₂²×D₄	—	26	1	no	—
1113	C₂²×D₄	—	26	1	no	—
1114	C₂²×D₄	—	26	1	no	—
1115	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1116	AGL(1,ℤ/8)	—	52	2	no	—
1117	AGL(1,ℤ/8)	—	52	2	no	—
1118	AGL(1,ℤ/8)	—	52	2	no	—
1119	AGL(1,ℤ/8)	—	52	2	no	—
1120	#135	—	52	2	no	—
1121	C₂×Q₁₆	—	13	1	no	—
1122	C₂×Q₁₆	—	13	1	no	—
1123	C₂×SD₁₆	—	13	1	no	—
1124	C₂×SD₁₆	—	13	1	no	—
1125	C₂×SD₁₆	—	13	1	no	—
1126	C₂×SD₁₆	—	13	1	no	—
1127	C₂×SD₁₆	—	13	1	no	—
1128	C₂×SD₁₆	—	13	1	no	—
1129	C₂×SD₁₆	—	13	1	no	—
1130	C₂×SD₁₆	—	13	1	no	—
1131	C₂×SD₁₆	—	13	1	no	—
1132	C₂×SD₁₆	—	13	1	no	—
1133	C₂×SD₁₆	—	13	1	no	—
1134	C₂×SD₁₆	—	13	1	no	—
1135	C₂×D₈	—	13	1	no	—
1136	C₂×D₈	—	13	1	no	—
1137	C₂×D₈	—	13	1	no	—
1138	C₂×D₈	—	13	1	no	—
1139	C₂×D₈	—	13	1	no	—
1140	C₂×D₈	—	13	1	no	—
1141	C₂×D₈	—	52	2	no	—
1142	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1143	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1144	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1145	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1146	C₂×M₁₆	—	13	1	no	—
1147	C₂×M₁₆	—	13	1	no	—
1148	C₂×M₁₆	—	13	1	no	—
1149	C₂×M₁₆	—	13	1	no	—
1150	C₂²×C₈	—	13	1	no	—
1151	C₂²×C₈	—	13	1	no	—
1152	C₄⋊Q₈	—	13	1	no	—
1153	C₄⋊Q₈	—	13	1	no	—
1154	#127	—	13	1	no	—
1155	#127	—	13	1	no	—
1156	#127	—	13	1	no	—
1157	#127	—	13	1	no	—
1158	#127	—	13	1	no	—
1159	#127	—	26	1	no	—
1160	#127	—	26	1	no	—
1161	#127	—	26	1	no	—
1162	#127	C₂²×D₁₃	1	1	yes	characteristic
1163	#126	—	13	1	no	—
1164	#126	—	13	1	no	—
1165	#126	—	26	1	no	—
1166	#126	—	26	1	no	—
1167	#126	—	26	1	no	—
1168	#126	—	26	1	no	—
1169	#126	—	26	1	no	—
1170	#126	—	26	1	no	—
1171	#126	—	26	1	no	—
1172	#126	—	26	1	no	—
1173	#126	—	26	1	no	—
1174	#126	—	26	1	no	—
1175	#126	—	26	1	no	—
1176	#125	—	13	1	no	—
1177	#125	—	13	1	no	—
1178	#125	—	13	1	no	—
1179	#125	—	26	1	no	—
1180	#125	—	26	1	no	—
1181	#125	—	26	1	no	—
1182	#125	C₂²×D₁₃	1	1	yes	characteristic
1183	#124	—	13	1	no	—
1184	#124	—	13	1	no	—
1185	#124	—	13	1	no	—
1186	#124	—	13	1	no	—
1187	#124	—	13	1	no	—
1188	#124	—	13	1	no	—
1189	#124	—	26	1	no	—
1190	#124	—	26	1	no	—
1191	#124	—	26	1	no	—
1192	#123	—	2	1	no	—
1193	#123	—	2	1	no	—
1194	#123	—	13	1	no	—
1195	#123	—	13	1	no	—
1196	#123	—	26	1	no	—
1197	#123	—	26	1	no	—
1198	#123	—	26	1	no	—
1199	#123	—	26	1	no	—
1200	#123	—	26	1	no	—
1201	#123	—	26	1	no	—
1202	#123	—	26	1	no	—
1203	#123	—	26	1	no	—
1204	#123	—	26	1	no	—
1205	#123	—	26	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	C₂²⋊Q₈	—	13	1	no	—
1212	C₂²⋊Q₈	—	13	1	no	—
1213	C₂²⋊Q₈	—	13	1	no	—
1214	C₂²⋊Q₈	—	13	1	no	—
1215	C₂²⋊Q₈	—	13	1	no	—
1216	C₂²⋊Q₈	—	13	1	no	—
1217	C₂²⋊Q₈	—	26	1	no	—
1218	C₂²⋊Q₈	—	26	1	no	—
1219	C₂²⋊Q₈	—	26	1	no	—
1220	C₂²⋊Q₈	—	26	1	no	—
1221	C₂²⋊Q₈	—	26	1	no	—
1222	#121	—	2	1	no	—
1223	#121	—	2	1	no	—
1224	#121	—	13	1	no	—
1225	#121	—	13	1	no	—
1226	#121	—	13	1	no	—
1227	#121	—	13	1	no	—
1228	#121	—	13	1	no	—
1229	#121	—	13	1	no	—
1230	#121	—	26	1	no	—
1231	#121	—	26	1	no	—
1232	#121	—	26	1	no	—
1233	#121	—	26	1	no	—
1234	#121	—	26	1	no	—
1235	#121	—	26	1	no	—
1236	#121	—	26	1	no	—
1237	#121	—	26	1	no	—
1238	#121	—	26	1	no	—
1239	#121	—	26	1	no	—
1240	#121	—	26	1	no	—
1241	#121	—	26	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	C₂²×D₁₃	1	1	yes	characteristic
1251	#121	C₂²×D₁₃	1	1	yes	characteristic
1252	#120	—	26	1	no	—
1253	#120	—	26	1	no	—
1254	#120	—	26	1	no	—
1255	#120	—	26	1	no	—
1256	#120	—	26	1	no	—
1257	#120	—	26	1	no	—
1258	#120	—	26	1	no	—
1259	#120	—	26	1	no	—
1260	#120	—	26	1	no	—
1261	#120	—	26	1	no	—
1262	#120	—	26	1	no	—
1263	#120	—	26	1	no	—
1264	#120	—	26	1	no	—
1265	#120	—	26	1	no	—
1266	C₄×Q₈	—	13	1	no	—
1267	C₄×Q₈	—	13	1	no	—
1268	C₄×Q₈	—	13	1	no	—
1269	C₄×Q₈	—	13	1	no	—
1270	C₄×Q₈	—	13	1	no	—
1271	C₄×Q₈	—	13	1	no	—
1272	C₄×Q₈	—	26	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	—	13	1	no	—
1276	C₄×D₄	—	13	1	no	—
1277	C₄×D₄	—	13	1	no	—
1278	C₄×D₄	—	13	1	no	—
1279	C₄×D₄	—	13	1	no	—
1280	C₄×D₄	—	13	1	no	—
1281	C₄×D₄	—	13	1	no	—
1282	C₄×D₄	—	13	1	no	—
1283	C₄×D₄	—	26	1	no	—
1284	C₄×D₄	—	26	1	no	—
1285	C₄×D₄	—	26	1	no	—
1286	C₄×D₄	—	26	1	no	—
1287	C₄×D₄	—	26	1	no	—
1288	C₄×D₄	—	26	1	no	—
1289	C₄×D₄	—	26	1	no	—
1290	C₄×D₄	—	26	1	no	—
1291	C₄×D₄	—	26	1	no	—
1292	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1293	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1294	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1295	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1296	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1297	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1298	#117	—	13	1	no	—
1299	#117	—	13	1	no	—
1300	#117	—	26	1	no	—
1301	#117	—	26	1	no	—
1302	#117	—	26	1	no	—
1303	#117	—	26	1	no	—
1304	#117	—	26	1	no	—
1305	#117	—	26	1	no	—
1306	#117	C₂²×D₁₃	1	1	yes	characteristic
1307	#117	C₂²×D₁₃	1	1	yes	characteristic
1308	C₂×C₄⋊C₄	—	13	1	no	—
1309	C₂×C₄⋊C₄	—	26	1	no	—
1310	C₂×C₄⋊C₄	—	26	1	no	—
1311	C₂×C₄⋊C₄	—	26	1	no	—
1312	C₂×C₂²⋊C₄	—	2	1	no	—
1313	C₂×C₂²⋊C₄	—	2	1	no	—
1314	C₂×C₂²⋊C₄	—	26	1	no	—
1315	C₂×C₂²⋊C₄	—	26	1	no	—
1316	C₂×C₂²⋊C₄	—	26	1	no	—
1317	C₂×C₂²⋊C₄	—	26	1	no	—
1318	C₂×C₄²	—	13	1	no	—
1319	C₂×C₄²	—	26	1	no	—
1320	#107	—	13	1	no	—
1321	#107	—	13	1	no	—
1322	#107	C₂²×D₁₃	1	1	yes	characteristic
1323	#107	C₂²×D₁₃	1	1	yes	characteristic
1324	#106	—	13	1	no	—
1325	#106	—	13	1	no	—
1326	#106	C₂²×D₁₃	1	1	yes	characteristic
1327	#106	C₂²×D₁₃	1	1	yes	characteristic
1328	C₄⋊C₈	—	13	1	no	—
1329	C₄⋊C₈	—	13	1	no	—
1330	C₄⋊C₈	—	13	1	no	—
1331	C₄⋊C₈	—	13	1	no	—
1332	C₄⋊C₈	—	13	1	no	—
1333	C₄⋊C₈	—	13	1	no	—
1334	C₄⋊C₈	—	13	1	no	—
1335	C₄⋊C₈	—	13	1	no	—
1336	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1337	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1338	#103	—	13	1	no	—
1339	#103	—	13	1	no	—
1340	#103	—	13	1	no	—
1341	#103	—	13	1	no	—
1342	#103	—	13	1	no	—
1343	#103	—	13	1	no	—
1344	#103	—	13	1	no	—
1345	#103	—	13	1	no	—
1346	#102	—	13	1	no	—
1347	#102	—	13	1	no	—
1348	#102	—	13	1	no	—
1349	#102	—	13	1	no	—
1350	#102	—	13	1	no	—
1351	#102	—	13	1	no	—
1352	#102	—	13	1	no	—
1353	#102	—	13	1	no	—
1354	#102	—	13	1	no	—
1355	#102	—	13	1	no	—
1356	#102	—	13	1	no	—
1357	#102	—	13	1	no	—
1358	#102	—	13	1	no	—
1359	#102	—	13	1	no	—
1360	#102	—	13	1	no	—
1361	#102	—	13	1	no	—
1362	#102	C₂²×D₁₃	1	1	yes	characteristic
1363	#102	C₂²×D₁₃	1	1	yes	characteristic
1364	#102	C₂²×D₁₃	1	1	yes	characteristic
1365	#102	C₂²×D₁₃	1	1	yes	characteristic
1366	#102	C₂²×D₁₃	1	1	yes	characteristic
1367	#102	C₂²×D₁₃	1	1	yes	characteristic
1368	#102	C₂²×D₁₃	1	1	yes	characteristic
1369	#102	C₂²×D₁₃	1	1	yes	characteristic
1370	C₂²⋊C₈	—	13	1	no	—
1371	C₂²⋊C₈	—	13	1	no	—
1372	C₂²⋊C₈	—	13	1	no	—
1373	C₂²⋊C₈	—	13	1	no	—
1374	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1375	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1376	#97	—	13	1	no	—
1377	#97	—	13	1	no	—
1378	#97	—	13	1	no	—
1379	#97	C₂²×D₁₃	1	1	yes	characteristic
1380	C₄×C₈	—	13	1	no	—
1381	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1382	C₂×C₁₃	—	4	1	no	—
1383	C₂×C₁₃	—	4	2	no	—
1384	C₂×C₁₃	—	8	1	no	—
1385	C₂×C₁₃	—	8	1	no	—
1386	C₂×C₁₃	—	8	1	no	—
1387	C₂×C₁₃	#3488	1	1	yes	characteristic
1388	C₂×C₁₃	#3585	1	1	yes	characteristic
1389	C₂×C₁₃	#3585	1	1	yes	characteristic
1390	D₁₃	—	4	1	no	—
1391	D₁₃	—	4	1	no	—
1392	D₁₃	—	8	1	no	—
1393	D₁₃	—	8	1	no	—
1394	D₁₃	—	8	1	no	—
1395	C₂⁴	—	2	1	no	—
1396	C₂⁴	—	26	1	no	—
1397	C₂⁴	—	26	1	no	—
1398	C₂⁴	—	26	1	no	—
1399	C₂⁴	—	26	1	no	—
1400	#41	—	26	2	no	—
1401	#41	—	26	2	no	—
1402	#41	—	52	1	no	—
1403	#41	—	52	1	no	—
1404	#41	—	52	1	no	—
1405	#41	—	52	1	no	—
1406	#41	—	52	1	no	—
1407	#41	—	52	1	no	—
1408	#41	—	104	2	no	—
1409	C₂×Q₈	—	13	1	no	—
1410	C₂×Q₈	—	13	1	no	—
1411	C₂×Q₈	—	13	1	no	—
1412	C₂×Q₈	—	13	1	no	—
1413	C₂×Q₈	—	26	1	no	—
1414	C₂×D₄	—	2	2	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	1	no	—
1419	C₂×D₄	—	2	1	no	—
1420	C₂×D₄	—	4	1	no	—
1421	C₂×D₄	—	13	1	no	—
1422	C₂×D₄	—	13	1	no	—
1423	C₂×D₄	—	13	1	no	—
1424	C₂×D₄	—	13	1	no	—
1425	C₂×D₄	—	13	1	no	—
1426	C₂×D₄	—	13	1	no	—
1427	C₂×D₄	—	26	1	no	—
1428	C₂×D₄	—	26	1	no	—
1429	C₂×D₄	—	26	1	no	—
1430	C₂×D₄	—	26	1	no	—
1431	C₂×D₄	—	26	1	no	—
1432	C₂×D₄	—	26	1	no	—
1433	C₂×D₄	—	26	1	no	—
1434	C₂×D₄	—	26	1	no	—
1435	C₂×D₄	—	26	1	no	—
1436	C₂×D₄	—	26	1	no	—
1437	C₂×D₄	—	26	1	no	—
1438	C₂×D₄	—	26	1	no	—
1439	C₂×D₄	—	26	1	no	—
1440	C₂×D₄	—	26	1	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	—	52	1	no	—
1451	C₂×D₄	—	52	1	no	—
1452	C₂×D₄	—	52	1	no	—
1453	C₂×D₄	—	52	1	no	—
1454	C₂×D₄	—	52	1	no	—
1455	C₂×D₄	—	52	1	no	—
1456	C₂×D₄	—	52	1	no	—
1457	C₂×D₄	—	52	1	no	—
1458	C₂×D₄	—	104	2	no	—
1459	C₂×D₄	—	104	2	no	—
1460	C₂×D₄	—	104	2	no	—
1461	C₂×D₄	—	104	2	no	—
1462	C₂×D₄	—	104	2	no	—
1463	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1464	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1465	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1466	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1467	C₂²×C₄	—	2	1	no	—
1468	C₂²×C₄	—	2	1	no	—
1469	C₂²×C₄	—	2	1	no	—
1470	C₂²×C₄	—	2	1	no	—
1471	C₂²×C₄	—	2	1	no	—
1472	C₂²×C₄	—	2	1	no	—
1473	C₂²×C₄	—	13	1	no	—
1474	C₂²×C₄	—	13	1	no	—
1475	C₂²×C₄	—	13	1	no	—
1476	C₂²×C₄	—	13	1	no	—
1477	C₂²×C₄	—	26	1	no	—
1478	C₂²×C₄	—	26	1	no	—
1479	C₂²×C₄	—	26	1	no	—
1480	C₂²×C₄	—	26	1	no	—
1481	C₂²×C₄	—	26	1	no	—
1482	C₂²×C₄	—	26	1	no	—
1483	C₂²×C₄	—	26	1	no	—
1484	C₂²×C₄	—	26	1	no	—
1485	C₂²×C₄	—	26	1	no	—
1486	C₂²×C₄	—	26	1	no	—
1487	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1488	Q₁₆	—	52	1	no	—
1489	Q₁₆	—	52	1	no	—
1490	SD₁₆	—	26	2	no	—
1491	SD₁₆	—	52	1	no	—
1492	SD₁₆	—	52	1	no	—
1493	SD₁₆	—	52	1	no	—
1494	SD₁₆	—	52	1	no	—
1495	SD₁₆	—	52	1	no	—
1496	SD₁₆	—	52	1	no	—
1497	SD₁₆	—	52	1	no	—
1498	SD₁₆	—	52	1	no	—
1499	SD₁₆	—	52	1	no	—
1500	SD₁₆	—	52	1	no	—
1501	SD₁₆	—	52	1	no	—
1502	D₈	—	2	2	no	—
1503	D₈	—	2	2	no	—
1504	D₈	—	4	1	no	—
1505	D₈	—	4	1	no	—
1506	D₈	—	26	2	no	—
1507	D₈	—	26	2	no	—
1508	D₈	—	26	2	no	—
1509	D₈	—	52	1	no	—
1510	D₈	—	52	1	no	—
1511	D₈	—	52	1	no	—
1512	M₁₆	—	52	1	no	—
1513	M₁₆	—	52	1	no	—
1514	M₁₆	—	52	1	no	—
1515	M₁₆	—	52	1	no	—
1516	C₂×C₈	—	13	1	no	—
1517	C₂×C₈	—	13	1	no	—
1518	C₂×C₈	—	13	1	no	—
1519	C₂×C₈	—	13	1	no	—
1520	C₂×C₈	—	52	1	no	—
1521	C₂×C₈	—	52	1	no	—
1522	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1523	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1524	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1525	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1526	C₄⋊C₄	—	2	1	no	—
1527	C₄⋊C₄	—	2	1	no	—
1528	C₄⋊C₄	—	13	1	no	—
1529	C₄⋊C₄	—	13	1	no	—
1530	C₄⋊C₄	—	13	1	no	—
1531	C₄⋊C₄	—	13	1	no	—
1532	C₄⋊C₄	—	13	1	no	—
1533	C₄⋊C₄	—	13	1	no	—
1534	C₄⋊C₄	—	13	1	no	—
1535	C₄⋊C₄	—	13	1	no	—
1536	C₄⋊C₄	—	13	1	no	—
1537	C₄⋊C₄	—	13	1	no	—
1538	C₄⋊C₄	—	26	1	no	—
1539	C₄⋊C₄	—	26	1	no	—
1540	C₄⋊C₄	—	26	1	no	—
1541	C₄⋊C₄	—	26	1	no	—
1542	C₄⋊C₄	—	26	1	no	—
1543	C₄⋊C₄	—	26	1	no	—
1544	C₄⋊C₄	—	26	1	no	—
1545	C₄⋊C₄	—	26	1	no	—
1546	C₄⋊C₄	—	26	1	no	—
1547	C₄⋊C₄	—	26	1	no	—
1548	C₄⋊C₄	—	26	1	no	—
1549	C₄⋊C₄	—	26	1	no	—
1550	C₄⋊C₄	—	26	1	no	—
1551	C₄⋊C₄	—	26	1	no	—
1552	C₄⋊C₄	—	26	1	no	—
1553	C₄⋊C₄	—	26	1	no	—
1554	C₄⋊C₄	—	26	1	no	—
1555	C₄⋊C₄	—	26	1	no	—
1556	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1557	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1558	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1559	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1560	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1561	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	13	1	no	—
1572	C₂²⋊C₄	—	13	1	no	—
1573	C₂²⋊C₄	—	13	1	no	—
1574	C₂²⋊C₄	—	13	1	no	—
1575	C₂²⋊C₄	—	13	1	no	—
1576	C₂²⋊C₄	—	13	1	no	—
1577	C₂²⋊C₄	—	13	1	no	—
1578	C₂²⋊C₄	—	13	1	no	—
1579	C₂²⋊C₄	—	26	1	no	—
1580	C₂²⋊C₄	—	26	1	no	—
1581	C₂²⋊C₄	—	26	1	no	—
1582	C₂²⋊C₄	—	26	1	no	—
1583	C₂²⋊C₄	—	26	1	no	—
1584	C₂²⋊C₄	—	26	1	no	—
1585	C₂²⋊C₄	—	26	1	no	—
1586	C₂²⋊C₄	—	26	1	no	—
1587	C₂²⋊C₄	—	26	1	no	—
1588	C₂²⋊C₄	—	26	1	no	—
1589	C₂²⋊C₄	—	26	1	no	—
1590	C₂²⋊C₄	—	26	1	no	—
1591	C₂²⋊C₄	—	26	1	no	—
1592	C₂²⋊C₄	—	26	1	no	—
1593	C₂²⋊C₄	—	26	1	no	—
1594	C₂²⋊C₄	—	26	1	no	—
1595	C₂²⋊C₄	—	26	1	no	—
1596	C₂²⋊C₄	—	26	1	no	—
1597	C₂²⋊C₄	—	26	1	no	—
1598	C₂²⋊C₄	—	26	1	no	—
1599	C₂²⋊C₄	—	26	1	no	—
1600	C₂²⋊C₄	—	26	1	no	—
1601	C₂²⋊C₄	—	26	1	no	—
1602	C₂²⋊C₄	—	26	1	no	—
1603	C₂²⋊C₄	—	26	1	no	—
1604	C₂²⋊C₄	—	26	1	no	—
1605	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1606	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1607	C₄²	—	2	1	no	—
1608	C₄²	—	13	1	no	—
1609	C₄²	—	13	1	no	—
1610	C₄²	—	13	1	no	—
1611	C₄²	—	13	1	no	—
1612	C₄²	—	26	1	no	—
1613	C₄²	—	26	1	no	—
1614	C₄²	—	26	1	no	—
1615	C₄²	—	26	1	no	—
1616	C₄²	—	26	1	no	—
1617	C₄²	—	26	1	no	—
1618	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1619	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1620	C₁₃	#62079	1	1	yes	characteristic, complemented, Sylow
1621	C₂³	—	2	1	no	—
1622	C₂³	—	2	1	no	—
1623	C₂³	—	2	1	no	—
1624	C₂³	—	2	1	no	—
1625	C₂³	—	4	2	no	—
1626	C₂³	—	8	1	no	—
1627	C₂³	—	8	1	no	—
1628	C₂³	—	13	1	no	—
1629	C₂³	—	13	1	no	—
1630	C₂³	—	26	1	no	—
1631	C₂³	—	26	1	no	—
1632	C₂³	—	26	1	no	—
1633	C₂³	—	52	2	no	—
1634	C₂³	—	52	2	no	—
1635	C₂³	—	104	1	no	—
1636	C₂³	—	104	1	no	—
1637	C₂³	—	104	1	no	—
1638	C₂³	—	104	1	no	—
1639	C₂³	—	104	1	no	—
1640	C₂³	—	104	1	no	—
1641	C₂³	—	104	1	no	—
1642	C₂³	—	104	1	no	—
1643	C₂³	—	104	1	no	—
1644	C₂³	—	104	1	no	—
1645	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1646	Q₈	—	26	1	no	—
1647	Q₈	—	26	1	no	—
1648	Q₈	—	26	1	no	—
1649	Q₈	—	26	1	no	—
1650	Q₈	—	26	1	no	—
1651	Q₈	—	26	1	no	—
1652	Q₈	—	52	1	no	—
1653	Q₈	—	104	1	no	—
1654	D₄	—	2	1	no	—
1655	D₄	—	2	1	no	—
1656	D₄	—	2	1	no	—
1657	D₄	—	2	1	no	—
1658	D₄	—	2	1	no	—
1659	D₄	—	2	1	no	—
1660	D₄	—	2	1	no	—
1661	D₄	—	4	2	no	—
1662	D₄	—	8	1	no	—
1663	D₄	—	8	1	no	—
1664	D₄	—	8	1	no	—
1665	D₄	—	8	1	no	—
1666	D₄	—	26	1	no	—
1667	D₄	—	26	1	no	—
1668	D₄	—	26	1	no	—
1669	D₄	—	26	1	no	—
1670	D₄	—	26	1	no	—
1671	D₄	—	26	1	no	—
1672	D₄	—	52	1	no	—
1673	D₄	—	52	2	no	—
1674	D₄	—	52	1	no	—
1675	D₄	—	52	1	no	—
1676	D₄	—	52	2	no	—
1677	D₄	—	52	2	no	—
1678	D₄	—	52	2	no	—
1679	D₄	—	52	2	no	—
1680	D₄	—	104	1	no	—
1681	D₄	—	104	1	no	—
1682	D₄	—	104	1	no	—
1683	D₄	—	104	1	no	—
1684	D₄	—	104	1	no	—
1685	D₄	—	104	1	no	—
1686	D₄	—	104	1	no	—
1687	D₄	—	104	1	no	—
1688	D₄	—	104	1	no	—
1689	D₄	—	104	1	no	—
1690	D₄	—	104	1	no	—
1691	D₄	—	104	1	no	—
1692	D₄	—	104	1	no	—
1693	D₄	—	104	1	no	—
1694	D₄	—	104	1	no	—
1695	D₄	—	104	1	no	—
1696	D₄	—	104	1	no	—
1697	D₄	—	104	1	no	—
1698	D₄	#88256	1	2	yes	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	2	1	no	—
1703	C₂×C₄	—	2	1	no	—
1704	C₂×C₄	—	2	1	no	—
1705	C₂×C₄	—	8	1	no	—
1706	C₂×C₄	—	8	1	no	—
1707	C₂×C₄	—	8	1	no	—
1708	C₂×C₄	—	8	1	no	—
1709	C₂×C₄	—	8	1	no	—
1710	C₂×C₄	—	8	1	no	—
1711	C₂×C₄	—	13	1	no	—
1712	C₂×C₄	—	13	1	no	—
1713	C₂×C₄	—	13	1	no	—
1714	C₂×C₄	—	13	1	no	—
1715	C₂×C₄	—	13	1	no	—
1716	C₂×C₄	—	13	1	no	—
1717	C₂×C₄	—	26	1	no	—
1718	C₂×C₄	—	26	1	no	—
1719	C₂×C₄	—	26	1	no	—
1720	C₂×C₄	—	26	1	no	—
1721	C₂×C₄	—	26	1	no	—
1722	C₂×C₄	—	26	1	no	—
1723	C₂×C₄	—	26	1	no	—
1724	C₂×C₄	—	26	1	no	—
1725	C₂×C₄	—	26	1	no	—
1726	C₂×C₄	—	52	1	no	—
1727	C₂×C₄	—	52	1	no	—
1728	C₂×C₄	—	52	2	no	—
1729	C₂×C₄	—	52	2	no	—
1730	C₂×C₄	—	52	2	no	—
1731	C₂×C₄	—	104	1	no	—
1732	C₂×C₄	—	104	1	no	—
1733	C₂×C₄	—	104	1	no	—
1734	C₂×C₄	—	104	1	no	—
1735	C₂×C₄	—	104	1	no	—
1736	C₂×C₄	—	104	1	no	—
1737	C₂×C₄	—	104	1	no	—
1738	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1739	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1740	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1741	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1742	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1743	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1744	C₈	—	2	1	no	—
1745	C₈	—	2	1	no	—
1746	C₈	—	2	1	no	—
1747	C₈	—	2	1	no	—
1748	C₈	—	26	1	no	—
1749	C₈	—	26	1	no	—
1750	C₈	—	26	1	no	—
1751	C₈	—	26	1	no	—
1752	C₂²	—	2	1	no	—
1753	C₂²	—	2	2	no	—
1754	C₂²	—	2	1	no	—
1755	C₂²	—	2	1	no	—
1756	C₂²	—	4	1	no	—
1757	C₂²	—	4	1	no	—
1758	C₂²	—	4	1	no	—
1759	C₂²	—	4	1	no	—
1760	C₂²	—	4	1	no	—
1761	C₂²	—	4	1	no	—
1762	C₂²	—	4	1	no	—
1763	C₂²	—	4	1	no	—
1764	C₂²	—	4	1	no	—
1765	C₂²	—	4	1	no	—
1766	C₂²	—	4	1	no	—
1767	C₂²	—	16	2	no	—
1768	C₂²	—	26	1	no	—
1769	C₂²	—	26	1	no	—
1770	C₂²	—	26	1	no	—
1771	C₂²	—	26	1	no	—
1772	C₂²	—	26	1	no	—
1773	C₂²	—	26	1	no	—
1774	C₂²	—	52	1	no	—
1775	C₂²	—	52	1	no	—
1776	C₂²	—	52	1	no	—
1777	C₂²	—	52	1	no	—
1778	C₂²	—	52	1	no	—
1779	C₂²	—	52	1	no	—
1780	C₂²	—	52	1	no	—
1781	C₂²	—	52	1	no	—
1782	C₂²	—	52	1	no	—
1783	C₂²	—	208	2	no	—
1784	C₂²	—	208	2	no	—
1785	C₂²	—	208	2	no	—
1786	C₂²	—	208	2	no	—
1787	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1788	C₄	—	2	1	no	—
1789	C₄	—	2	1	no	—
1790	C₄	—	2	1	no	—
1791	C₄	—	2	1	no	—
1792	C₄	—	2	1	no	—
1793	C₄	—	4	1	no	—
1794	C₄	—	4	1	no	—
1795	C₄	—	4	1	no	—
1796	C₄	—	4	1	no	—
1797	C₄	—	26	1	no	—
1798	C₄	—	26	1	no	—
1799	C₄	—	26	1	no	—
1800	C₄	—	26	1	no	—
1801	C₄	—	26	1	no	—
1802	C₄	—	26	1	no	—
1803	C₄	—	52	1	no	—
1804	C₄	—	52	1	no	—
1805	C₄	—	52	1	no	—
1806	C₄	—	52	1	no	—
1807	C₄	—	52	1	no	—
1808	C₄	C₂×#88256	1	1	yes	characteristic
1809	C₄	#11719648	1	1	yes	characteristic
1810	C₂	—	4	1	no	—
1811	C₂	—	4	2	no	—
1812	C₂	—	8	1	no	—
1813	C₂	—	8	1	no	—
1814	C₂	—	8	1	no	—
1815	C₂	—	52	1	no	—
1816	C₂	—	52	1	no	—
1817	C₂	—	104	1	no	—
1818	C₂	—	104	1	no	—
1819	C₂	—	104	1	no	—
1820	C₂	#13128497	1	1	yes	characteristic
1821	C₂	#13129611	1	1	yes	characteristic
1822	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×#3122	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3122	D₁₃
hypocenter	C₁₃	#62079
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3122

Complements

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

N	H ≅ G/N	type
1. #13129165	C₂	semidirect
2. #13128892	C₂	semidirect
3. #13127907	C₂	semidirect
4. #13127854	C₂	semidirect
5. #13127585	C₂	semidirect
6. #13127544	C₂	semidirect
7. #13127065	C₂	semidirect
8. #13127042	C₂	semidirect
9. #13126982	C₂	semidirect
10. #13126960	C₂	semidirect
11. #13126870	C₂	semidirect
12. #13126860	C₂	semidirect
13. #13126447	C₂	semidirect
14. #13126437	C₂	semidirect
15. #13126374	C₂	semidirect
16. #13126363	C₂	semidirect
17. #13126309	C₂	semidirect
18. #13126309	C₂	semidirect
19. #13126282	C₂	semidirect
20. #13126251	C₂	semidirect
21. #13126236	C₂	semidirect
22. #13125927	C₂	semidirect
23. #13125910	C₂	semidirect
24. #13125853	C₂	semidirect
25. #13125040	C₂	semidirect
26. #13124950	C₂	semidirect
27. #13124370	C₂	semidirect
28. #13124339	C₂	semidirect
29. #13124311	C₂	semidirect
30. #13124001	C₂	semidirect
31. C₁₃×#3122	C₂	semidirect
33. C₁₃×#518	C₂²	semidirect
34. #11719511	C₂²	semidirect
35. #11719511	C₂²	semidirect
36. C₂×#88186	C₂²	semidirect
37. C₂²×#6104	C₂²	semidirect
38. C₂×#88166	C₂²	semidirect
39. C₂×#88165	C₂²	semidirect
40. C₂×#88165	C₂²	semidirect
41. C₂×#88165	C₂²	semidirect
42. #11719420	C₂²	semidirect
43. D₁₃×#127	C₂²	semidirect
44. #11719403	C₂²	semidirect
45. #11719396	C₂²	semidirect
59. #11719266	C₂²	semidirect
60. #11719264	C₂²	semidirect
61. #11719263	C₂²	semidirect
62. #11719262	C₂²	semidirect
63. #11719260	C₂²	semidirect
64. #11719259	C₂²	semidirect
65. #11719258	C₂²	semidirect
66. D₄×D₅₂	C₂²	semidirect
67. #11719251	C₂²	semidirect
68. #11719247	C₂²	semidirect
71. #11719244	C₂²	semidirect
73. C₄×#6129	C₂²	semidirect
74. #11719238	C₂²	semidirect
75. #11719234	C₂²	semidirect
78. #11719223	C₂²	semidirect
83. C₁₃×#482	C₂²	semidirect
84. C₁₃×#482	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#478	C₂²	semidirect
87. C₁₃×#459	C₂²	semidirect
88. C₁₃×#459	C₂²	semidirect
89. C₁₃×#447	C₂²	semidirect
90. C₁₃×#447	C₂²	semidirect
91. C₁₃×#442	C₂²	semidirect
92. C₁₃×#442	C₂²	semidirect
93. C₄×C₁₃×D₈	C₂²	semidirect
94. C₄×C₁₃×D₈	C₂²	semidirect
95. C₁₃×#433	C₂²	semidirect
96. #11718819	C₂²	semidirect
97. #11718817	C₂²	semidirect
98. #11718817	C₂²	semidirect
99. #11718817	C₂²	semidirect
100. #11718816	C₂²	semidirect
102. #11718815	C₂²	semidirect
103. #11718815	C₂²	semidirect
104. #11718814	C₂²	semidirect
106. #11718811	C₂²	semidirect
107. #11718811	C₂²	semidirect
108. #11718736	C₂²	semidirect
109. #11718736	C₂²	semidirect
110. #11718724	C₂²	semidirect
111. #11718724	C₂²	semidirect
112. #11718703	C₂²	semidirect
113. #11718703	C₂²	semidirect
114. #11718702	C₂²	semidirect
115. #11718702	C₂²	semidirect
116. #11718680	C₂²	semidirect
117. #11718680	C₂²	semidirect
118. #11718677	C₂²	semidirect
119. #11718677	C₂²	semidirect
120. #11718677	C₂²	semidirect
121. #11718677	C₂²	semidirect
122. #11718676	C₂²	semidirect
123. #11718676	C₂²	semidirect
124. #11718676	C₂²	semidirect
125. #11718676	C₂²	semidirect
126. #11718670	C₂²	semidirect
127. #11718670	C₂²	semidirect
128. #11718663	C₂²	semidirect
129. #11718662	C₂²	semidirect
130. #11718660	C₂²	semidirect
131. #11718551	C₂²	semidirect
132. #11718550	C₂²	semidirect
133. #11718550	C₂²	semidirect
134. #11718549	C₂²	semidirect
135. #11718547	C₂²	semidirect
136. #11718547	C₂²	semidirect
137. #11718543	C₂²	semidirect
138. #11718538	C₂²	semidirect
139. #11718532	C₂²	semidirect
140. #11718531	C₂²	semidirect
141. #11718529	C₂²	semidirect
142. #11718527	C₂²	semidirect
143. #11718525	C₂²	semidirect
144. #11718524	C₂²	semidirect
145. #11718514	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718509	C₂²	semidirect
148. #11718509	C₂²	semidirect
149. #11718506	C₂²	semidirect
150. #11718506	C₂²	semidirect
151. #11718501	C₂²	semidirect
152. #11718500	C₂²	semidirect
153. #11718498	C₂²	semidirect
154. #11718496	C₂²	semidirect
155. #11718448	C₂²	semidirect
156. #11718448	C₂²	semidirect
157. #11718448	C₂²	semidirect
158. #11718446	C₂²	semidirect
159. #11718446	C₂²	semidirect
160. #11718444	C₂²	semidirect
161. #11718444	C₂²	semidirect
163. #11718443	C₂²	semidirect
165. #11718442	C₂²	semidirect
166. #11718442	C₂²	semidirect
167. #11718441	C₂²	semidirect
168. #11718437	C₂²	semidirect
169. #11718437	C₂²	semidirect
170. #11718437	C₂²	semidirect
171. #11718436	C₂²	semidirect
172. #11718432	C₂²	semidirect
173. #11718431	C₂²	semidirect
174. #11718431	C₂²	semidirect
175. D₁₃×#102	C₂²	semidirect
176. #11718428	C₂²	semidirect
177. #11718428	C₂²	semidirect
178. #11718426	C₂²	semidirect
179. #11718425	C₂²	semidirect
180. #11718425	C₂²	semidirect
181. #11718423	C₂²	semidirect
182. #11718423	C₂²	semidirect
183. #11718423	C₂²	semidirect
184. #11718421	C₂²	semidirect
185. #11718418	C₂²	semidirect
186. #11718417	C₂²	semidirect
187. #11718394	C₂²	semidirect
188. #11718394	C₂²	semidirect
189. #11718392	C₂²	semidirect
190. #11718392	C₂²	semidirect
191. #11718391	C₂²	semidirect
192. #11718391	C₂²	semidirect
193. #11718390	C₂²	semidirect
194. #11718389	C₂²	semidirect
195. #11718376	C₂²	semidirect
196. #11718374	C₂²	semidirect
197. #11718367	C₂²	semidirect
198. #11718362	C₂²	semidirect
199. #11718358	C₂²	semidirect
200. #11718354	C₂²	semidirect
201. #11718349	C₂²	semidirect
202. #11718340	C₂²	semidirect
734. #3122	D₁₃	semidirect
921. #518	C₂×D₁₃	semidirect
937. #482	C₂×D₁₃	semidirect
938. #482	C₂×D₁₃	semidirect
947. #478	C₂×D₁₃	semidirect
948. #478	C₂×D₁₃	semidirect
991. #459	C₂×D₁₃	semidirect
992. #459	C₂×D₁₃	semidirect
1009. #447	C₂×D₁₃	semidirect
1010. #447	C₂×D₁₃	semidirect
1015. #442	C₂×D₁₃	semidirect
1016. #442	C₂×D₁₃	semidirect
1023. C₄×D₈	C₂×D₁₃	semidirect
1024. C₄×D₈	C₂×D₁₃	semidirect
1032. #433	C₂×D₁₃	semidirect
1620. C₁₃	#62079	semidirect

Maximal subgroups

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

subgroup	index
#13129165	2
#13128892	2
#13127907	2
#13127854	2
#13127585	2
#13127544	2
#13127065	2
#13127042	2
#13126982	2
#13126960	2
#13126870	2
#13126860	2
#13126447	2
#13126437	2
#13126374	2
#13126363	2
#13126309	2
#13126282	2
#13126251	2
#13126236	2
#13125927	2
#13125910	2
#13125853	2
#13125040	2
#13124950	2
#13124370	2
#13124339	2
#13124311	2
#13124001	2
C₁₃×#3122	2
#62079	13