Subgroups — #16740275

Order 3328.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128581	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128515	C₂	1	1	yes	maximal, characteristic
3	#13126938	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126934	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126916	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126912	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126898	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126892	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126888	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126751	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126747	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126723	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126716	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126709	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126705	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126678	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126674	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125198	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124811	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124783	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124684	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124522	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#467	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124364	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124126	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124093	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123678	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123527	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123368	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#416	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3313	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×#88254	C₂²	1	1	yes	characteristic
34	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#548	C₂²	1	1	yes	characteristic
36	#11719536	C₂²	1	1	yes	characteristic
37	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
38	C₂×#88172	C₂²	1	1	yes	characteristic
39	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88169	C₂²	1	1	yes	characteristic
41	C₂×#88161	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
43	#11719435	C₂²	1	1	yes	characteristic
44	#11719434	C₂²	1	1	yes	characteristic, complemented
45	#11719413	—	2	1	no	—
46	#11719411	—	2	1	no	—
47	#11719410	—	2	1	no	—
48	#11719406	—	2	1	no	—
49	#11719384	—	2	1	no	—
50	#11719381	—	2	1	no	—
51	#11719381	C₂²	1	1	yes	characteristic
52	#11719380	—	2	1	no	—
53	#11719380	C₂²	1	1	yes	characteristic
54	#11719374	—	2	1	no	—
55	#11719344	C₂²	1	1	yes	characteristic, complemented
56	#11719340	C₂²	1	1	yes	characteristic
57	#11719336	—	2	1	no	—
58	#11719336	C₂²	1	1	yes	characteristic
59	#11719333	C₂²	1	1	yes	characteristic, complemented
60	D₁₃×C₂²⋊Q₈	—	2	1	no	—
61	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
62	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
63	#11719317	—	2	1	no	—
64	#11719317	C₂²	1	1	yes	characteristic
65	#11719313	—	2	1	no	—
66	#11719313	C₂²	1	1	yes	characteristic
67	#11719286	—	2	1	no	—
68	#11719286	C₂²	1	1	yes	characteristic
69	#11719283	—	2	1	no	—
70	Q₈×D₅₂	C₂²	1	1	yes	characteristic
71	#11719279	C₂²	1	1	yes	characteristic
72	#11719277	C₂²	1	1	yes	characteristic, complemented
73	#11719256	—	2	1	no	—
74	#11719256	C₂²	1	1	yes	characteristic
75	#11719252	—	2	1	no	—
76	#11719252	C₂²	1	1	yes	characteristic
77	#11719246	C₂²	1	1	yes	characteristic, complemented
78	#11719238	C₂²	1	1	yes	characteristic, complemented
79	#11719234	C₂²	1	1	yes	characteristic
80	#11719228	C₂²	1	1	yes	characteristic, complemented
81	D₁₃×#117	C₂²	1	1	yes	characteristic
82	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#452	C₂²	1	1	yes	characteristic
90	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#416	C₂²	1	1	yes	characteristic
95	#11718900	C₂²	1	1	yes	characteristic
96	#11718894	C₂²	1	1	yes	characteristic
97	#11718889	C₂²	1	1	yes	characteristic, complemented
98	C₂×#88075	C₂²	1	1	yes	characteristic, complemented
99	#11718849	C₂²	1	1	yes	characteristic
100	#11718848	C₂²	1	1	yes	characteristic, complemented
101	#11718847	C₂²	1	1	yes	characteristic
102	#11718847	C₂²	1	1	yes	characteristic, complemented
103	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
104	#11718843	C₂²	1	1	yes	characteristic, complemented
105	#11718832	C₂²	1	1	yes	characteristic, complemented
106	#11718830	C₂²	1	1	yes	characteristic
107	#11718827	C₂²	1	1	yes	characteristic, complemented
108	#11718798	C₂²	1	1	yes	characteristic, complemented
109	#11718794	C₂²	1	1	yes	characteristic, complemented
110	#11718788	C₂²	1	1	yes	characteristic
111	#11718777	C₂²	1	1	yes	characteristic, complemented
112	#11718774	C₂²	1	1	yes	characteristic
113	#11718772	C₂²	1	1	yes	characteristic, complemented
114	#11718754	C₂²	1	1	yes	characteristic, complemented
115	#11718748	C₂²	1	1	yes	characteristic, complemented
116	#11718717	C₂²	1	1	yes	characteristic, complemented
117	#11718715	C₂²	1	1	yes	characteristic, complemented
118	#11718712	C₂²	1	1	yes	characteristic, complemented
119	#11718712	C₂²	1	1	yes	characteristic, complemented
120	#11718712	C₂²	1	1	yes	characteristic, complemented
121	#11718708	C₂²	1	1	yes	characteristic
122	#11718708	C₂²	1	1	yes	characteristic, complemented
123	#11718706	C₂²	1	1	yes	characteristic, complemented
124	#11718702	C₂²	1	1	yes	characteristic, complemented
125	#11718694	C₂²	1	1	yes	characteristic, complemented
126	#11718692	C₂²	1	1	yes	characteristic, complemented
127	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
128	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
129	#11718683	C₂²	1	1	yes	characteristic, complemented
130	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
131	#11718663	C₂²	1	1	yes	characteristic
132	#11718663	C₂²	1	1	yes	characteristic, complemented
133	#11718657	C₂²	1	1	yes	characteristic, complemented
134	#11718657	C₂²	1	1	yes	characteristic, complemented
135	#11718552	C₂²	1	1	yes	characteristic, complemented
136	#11718551	C₂²	1	1	yes	characteristic, complemented
137	#11718548	C₂²	1	1	yes	characteristic
138	#11718548	C₂²	1	1	yes	characteristic, complemented
139	#11718545	C₂²	1	1	yes	characteristic
140	#11718545	C₂²	1	1	yes	characteristic, complemented
141	#11718542	C₂²	1	1	yes	characteristic, complemented
142	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
143	#11718528	C₂²	1	1	yes	characteristic, complemented
144	#11718523	C₂²	1	1	yes	characteristic
145	#11718522	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718510	C₂²	1	1	yes	characteristic, complemented
148	#11718508	C₂²	1	1	yes	characteristic, complemented
149	#11718500	C₂²	1	1	yes	characteristic, complemented
150	#11718495	C₂²	1	1	yes	characteristic
151	#11718478	C₂²	1	1	yes	characteristic, complemented
152	#11718477	C₂²	1	1	yes	characteristic, complemented
153	#11718474	C₂²	1	1	yes	characteristic
154	#11718474	C₂²	1	1	yes	characteristic
155	#11718471	C₂²	1	1	yes	characteristic, complemented
156	#11718470	C₂²	1	1	yes	characteristic
157	#11718469	C₂²	1	1	yes	characteristic
158	#11718469	C₂²	1	1	yes	characteristic, complemented
159	#11718466	C₂²	1	1	yes	characteristic
160	#11718465	C₂²	1	1	yes	characteristic
161	#11718465	C₂²	1	1	yes	characteristic
162	#11718465	C₂²	1	1	yes	characteristic, complemented
163	#11718464	C₂²	1	1	yes	characteristic
164	#11718464	C₂²	1	1	yes	characteristic, complemented
165	#11718463	C₂²	1	1	yes	characteristic, complemented
166	#11718463	C₂²	1	1	yes	characteristic, complemented
167	#11718463	C₂²	1	1	yes	characteristic, complemented
168	D₁₃×#103	C₂²	1	1	yes	characteristic
169	D₁₃×#103	C₂²	1	1	yes	characteristic
170	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
171	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
172	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
173	#11718460	C₂²	1	1	yes	characteristic, complemented
174	#11718458	C₂²	1	1	yes	characteristic, complemented
175	#11718455	C₂²	1	1	yes	characteristic, complemented
176	#11718454	C₂²	1	1	yes	characteristic, complemented
177	#11718453	C₂²	1	1	yes	characteristic, complemented
178	#11718450	C₂²	1	1	yes	characteristic, complemented
179	#11718445	C₂²	1	1	yes	characteristic, complemented
180	#11718441	C₂²	1	1	yes	characteristic, complemented
181	#11718437	C₂²	1	1	yes	characteristic
182	#11718435	C₂²	1	1	yes	characteristic, complemented
183	#11718433	C₂²	1	1	yes	characteristic
184	#11718433	C₂²	1	1	yes	characteristic
185	#11718432	C₂²	1	1	yes	characteristic
186	D₁₃×#102	C₂²	1	1	yes	characteristic
187	D₁₃×#102	C₂²	1	1	yes	characteristic
188	#11718429	C₂²	1	1	yes	characteristic, complemented
189	#11718428	C₂²	1	1	yes	characteristic, complemented
190	#11718426	C₂²	1	1	yes	characteristic, complemented
191	#11718394	C₂²	1	1	yes	characteristic
192	#11718394	C₂²	1	1	yes	characteristic, complemented
193	#11718388	C₂²	1	1	yes	characteristic, complemented
194	#11718387	C₂²	1	1	yes	characteristic
195	#11718386	C₂²	1	1	yes	characteristic
196	#11718386	C₂²	1	1	yes	characteristic, complemented
197	#11718384	C₂²	1	1	yes	characteristic, complemented
198	#11718383	C₂²	1	1	yes	characteristic, complemented
199	#11718371	C₂²	1	1	yes	characteristic, complemented
200	#11718369	C₂²	1	1	yes	characteristic, complemented
201	#11718367	C₂²	1	1	yes	characteristic
202	#11718364	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	#41×D₁₃	—	2	4	no	—
206	#41×D₁₃	—	4	2	no	—
207	#88254	—	2	4	no	—
208	#88254	—	4	2	no	—
209	C₂×#6131	—	2	1	no	—
210	C₂×#6131	C₂³	1	1	yes	characteristic
211	C₂×#6131	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	—	2	1	no	—
213	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
216	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×#6129	—	2	1	no	—
218	C₂×#6129	C₂³	1	1	yes	characteristic
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
221	C₂×#6127	—	2	1	no	—
222	C₂×#6127	—	2	1	no	—
223	C₂×#6127	—	2	1	no	—
224	C₂×#6127	C₂³	1	1	yes	characteristic
225	C₂×#6127	C₂³	1	1	yes	characteristic
226	C₂×#6127	C₂³	1	1	yes	characteristic
227	C₂²×C₄×D₁₃	—	2	1	no	—
228	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
234	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×#126	—	2	1	no	—
236	C₁₃×#126	—	2	1	no	—
237	C₁₃×#124	—	2	1	no	—
238	C₁₃×#124	—	2	1	no	—
239	C₁₃×#124	C₂³	1	1	yes	characteristic
240	C₁₃×C₂²⋊Q₈	—	2	1	no	—
241	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
242	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
243	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
244	C₁₃×#121	—	2	1	no	—
245	C₁₃×#121	C₂³	1	1	yes	characteristic
246	C₄×Q₈×C₁₃	—	2	1	no	—
247	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
251	C₁₃×#117	C₂³	1	1	yes	characteristic
252	C₁₃×#117	C₂³	1	1	yes	characteristic
253	#88200	—	2	1	no	—
254	#88200	—	2	1	no	—
255	#88200	—	2	1	no	—
256	#88200	—	2	1	no	—
257	#88200	C₂³	1	1	yes	characteristic
258	#88200	C₂³	1	1	yes	characteristic
259	#88200	C₂³	1	1	yes	characteristic
260	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
261	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
262	#88198	—	2	1	no	—
263	#88198	—	2	1	no	—
264	#88198	C₂³	1	1	yes	characteristic
265	C₂×#6107	C₂³	1	1	yes	characteristic
266	C₂×#6107	C₂³	1	1	yes	characteristic
267	C₂×#6107	C₂³	1	1	yes	characteristic
268	C₂×#6107	C₂³	1	1	yes	characteristic
269	C₂×#6106	C₂³	1	1	yes	characteristic
270	#88193	—	2	1	no	—
271	#88193	D₄	1	1	yes	characteristic
272	#88192	—	2	1	no	—
273	#88192	—	2	1	no	—
274	#88192	—	2	1	no	—
275	#88192	—	2	1	no	—
276	#88192	C₂³	1	1	yes	characteristic
277	#88191	—	2	1	no	—
278	#88191	D₄	1	1	yes	characteristic
279	#88190	—	2	1	no	—
280	#88190	C₂³	1	1	yes	characteristic
281	#88189	—	2	1	no	—
282	C₂×#6105	C₂³	1	1	yes	characteristic
283	C₄×C₂²⋊D₁₃	—	2	1	no	—
284	C₄×C₂²⋊D₁₃	—	2	1	no	—
285	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
286	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
287	#88180	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
289	#88178	—	2	1	no	—
290	#88178	—	2	1	no	—
291	#88178	C₂³	1	1	yes	characteristic
292	#88178	C₂³	1	1	yes	characteristic
293	#88178	C₂³	1	1	yes	characteristic
294	#88178	C₂³	1	1	yes	characteristic
295	C₂²×#1055	C₂³	1	1	yes	characteristic
296	C₂²×#1055	C₂³	1	1	yes	characteristic
297	#88172	—	2	4	no	—
298	Q₁₆×D₁₃	—	4	2	no	—
299	#88169	—	4	2	no	—
300	#88161	—	4	2	no	—
301	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
302	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
303	C₂×#6095	C₂³	1	1	yes	characteristic
304	C₂×#6094	C₂³	1	1	yes	characteristic
305	C₂×#6094	C₂³	1	1	yes	characteristic
306	C₂×#6094	C₂³	1	1	yes	characteristic
307	C₂×C₈×D₁₃	—	4	2	no	—
308	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
309	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
313	#88151	—	2	1	no	—
314	#88151	—	2	1	no	—
315	#88151	—	2	1	no	—
316	#88151	C₂³	1	1	yes	characteristic
317	#88151	C₂³	1	1	yes	characteristic
318	#88151	C₂³	1	1	yes	characteristic
319	#88151	C₂³	1	1	yes	characteristic
320	#88150	—	2	1	no	—
321	#88150	—	2	1	no	—
322	#88150	—	2	1	no	—
323	#88150	D₄	1	1	yes	characteristic
324	#88148	—	2	1	no	—
325	#88148	—	2	1	no	—
326	#88148	—	2	1	no	—
327	#88148	D₄	1	1	yes	characteristic
328	#88147	—	2	1	no	—
329	#88147	—	2	1	no	—
330	#88147	C₂³	1	1	yes	characteristic
331	#88146	—	2	1	no	—
332	#88146	—	2	1	no	—
333	#88146	C₂³	1	1	yes	characteristic
334	#88146	C₂³	1	1	yes	characteristic
335	#88146	C₂³	1	1	yes	characteristic
336	C₄⋊C₄×D₁₃	—	2	1	no	—
337	C₄⋊C₄×D₁₃	—	2	1	no	—
338	C₄⋊C₄×D₁₃	—	2	1	no	—
339	C₄⋊C₄×D₁₃	—	2	1	no	—
340	C₄⋊C₄×D₁₃	—	2	1	no	—
341	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
342	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
343	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
344	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
345	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
346	#88144	—	2	1	no	—
347	#88144	C₂³	1	1	yes	characteristic
348	#88143	—	2	1	no	—
349	#88143	—	2	1	no	—
350	#88143	—	2	1	no	—
351	#88143	—	2	1	no	—
352	#88143	—	2	1	no	—
353	#88142	—	2	1	no	—
354	#88142	C₂³	1	1	yes	characteristic
355	#88141	—	2	1	no	—
356	#88141	C₂³	1	1	yes	characteristic
357	#88139	—	2	1	no	—
358	#88139	—	2	1	no	—
359	#88138	—	2	1	no	—
360	#88138	—	2	1	no	—
361	#88138	—	2	1	no	—
362	#88138	D₄	1	1	yes	characteristic
363	#88137	—	2	1	no	—
364	#88137	—	2	1	no	—
365	#88137	—	2	1	no	—
366	#88137	—	2	1	no	—
367	#88137	—	2	1	no	—
368	#88137	—	2	1	no	—
369	#88137	—	2	1	no	—
370	#88137	—	2	1	no	—
371	#88137	—	2	1	no	—
372	#88137	—	2	1	no	—
373	#88137	D₄	1	1	yes	characteristic
374	#88136	—	2	1	no	—
375	#88136	D₄	1	1	yes	characteristic
376	#88135	—	2	1	no	—
377	#88135	—	2	1	no	—
378	#88135	—	2	1	no	—
379	C₂²⋊C₄×D₁₃	—	2	1	no	—
380	C₂²⋊C₄×D₁₃	—	2	1	no	—
381	C₂²⋊C₄×D₁₃	—	2	1	no	—
382	C₂²⋊C₄×D₁₃	—	2	1	no	—
383	C₂²⋊C₄×D₁₃	—	2	1	no	—
384	#88133	—	2	1	no	—
385	#88133	—	2	1	no	—
386	#88133	—	2	1	no	—
387	#88133	—	2	1	no	—
388	#88132	—	2	1	no	—
389	#88132	—	2	1	no	—
390	#88132	—	2	1	no	—
391	#88132	—	2	1	no	—
392	#88132	—	2	1	no	—
393	#88132	—	2	1	no	—
394	#88132	D₄	1	1	yes	characteristic
395	#88131	—	2	1	no	—
396	#88131	—	2	1	no	—
397	#88130	—	2	1	no	—
398	#88130	—	2	1	no	—
399	C₄×D₅₂	—	2	1	no	—
400	C₄×D₅₂	—	2	1	no	—
401	C₄×D₅₂	—	2	1	no	—
402	C₄×D₅₂	C₂³	1	1	yes	characteristic
403	C₄×D₅₂	C₂³	1	1	yes	characteristic
404	#88126	—	2	1	no	—
405	#88126	—	2	1	no	—
406	#88126	—	2	1	no	—
407	#88126	—	2	1	no	—
408	#88126	—	2	1	no	—
409	#88126	C₂³	1	1	yes	characteristic
410	C₄²×D₁₃	—	2	1	no	—
411	#88124	—	2	1	no	—
412	#88124	C₂³	1	1	yes	characteristic
413	#88123	—	2	1	no	—
414	#88123	C₂³	1	1	yes	characteristic
415	C₄×Dic₂₆	—	2	1	no	—
416	C₄×Dic₂₆	—	2	1	no	—
417	C₄×Dic₂₆	—	2	1	no	—
418	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
419	C₁₃×#107	C₂³	1	1	yes	characteristic
420	C₁₃×#107	C₂³	1	1	yes	characteristic
421	C₁₃×#106	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#103	C₂³	1	1	yes	characteristic
427	C₁₃×#103	C₂³	1	1	yes	characteristic
428	C₁₃×#103	C₂³	1	1	yes	characteristic
429	C₁₃×#103	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₁₃×#97	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88075	C₂³	1	1	yes	characteristic
439	#88075	C₂³	1	1	yes	characteristic
440	#88075	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	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	#88060	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	#88058	C₂³	1	1	yes	characteristic
456	#88058	C₂³	1	1	yes	characteristic
457	#88057	C₂³	1	1	yes	characteristic
458	#88056	C₂³	1	1	yes	characteristic
459	#88056	C₂³	1	1	yes	characteristic
460	#88056	C₂³	1	1	yes	characteristic
461	#88056	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88056	C₂³	1	1	yes	characteristic
465	#88055	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
469	#88050	C₂³	1	1	yes	characteristic
470	#88050	C₂³	1	1	yes	characteristic
471	#88050	C₂³	1	1	yes	characteristic
472	#88050	C₂³	1	1	yes	characteristic
473	#88050	C₂³	1	1	yes	characteristic
474	#88050	C₂³	1	1	yes	characteristic
475	#88050	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88048	C₂³	1	1	yes	characteristic
481	#88047	C₂³	1	1	yes	characteristic
482	#88047	C₂³	1	1	yes	characteristic
483	#88047	C₂³	1	1	yes	characteristic
484	#88047	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	C₄×#1055	C₂³	1	1	yes	characteristic
487	#61173	—	13	1	no	maximal, Sylow
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
490	C₁₃×#41	—	2	2	no	—
491	C₁₃×#41	—	4	1	no	—
492	C₂×Q₈×C₁₃	—	2	1	no	—
493	C₂×Q₈×C₁₃	—	2	1	no	—
494	C₂×Q₈×C₁₃	—	2	2	no	—
495	C₂×Q₈×C₁₃	—	4	1	no	—
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
502	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₁₃	—	2	1	no	—
504	C₂²×C₄×C₁₃	—	2	1	no	—
505	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
515	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
516	C₂²×Dic₁₃	—	2	1	no	—
517	C₂²×Dic₁₃	—	2	1	no	—
518	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
519	#6131	—	2	2	no	—
520	#6131	—	2	2	no	—
521	#6131	—	4	1	no	—
522	#6131	—	4	4	no	—
523	#6131	#41	1	4	yes	—
524	Q₈×D₁₃	—	2	2	no	—
525	Q₈×D₁₃	—	2	2	no	—
526	Q₈×D₁₃	—	2	2	no	—
527	Q₈×D₁₃	—	2	2	no	—
528	Q₈×D₁₃	—	2	2	no	—
529	Q₈×D₁₃	—	2	2	no	—
530	Q₈×D₁₃	—	4	1	no	—
531	Q₈×D₁₃	—	4	1	no	—
532	Q₈×D₁₃	—	4	4	no	—
533	#6129	—	2	2	no	—
534	#6129	—	2	2	no	—
535	#6129	—	4	4	no	—
536	D₄×D₁₃	—	2	2	no	—
537	D₄×D₁₃	—	4	1	no	—
538	D₄×D₁₃	—	4	4	no	—
539	#6127	—	2	2	no	—
540	#6127	—	2	2	no	—
541	#6127	—	2	2	no	—
542	#6127	—	2	2	no	—
543	#6127	—	4	1	no	—
544	#6127	—	4	1	no	—
545	#6127	—	4	4	no	—
546	#6127	—	4	4	no	—
547	#6127	—	4	4	no	—
548	C₂×D₅₂	—	2	1	no	—
549	C₂×D₅₂	—	2	1	no	—
550	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
551	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
552	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
553	C₂×C₄×D₁₃	—	2	1	no	—
554	C₂×C₄×D₁₃	—	2	2	no	—
555	C₂×C₄×D₁₃	—	2	2	no	—
556	C₂×C₄×D₁₃	—	2	1	no	—
557	C₂×C₄×D₁₃	—	2	1	no	—
558	C₂×C₄×D₁₃	—	2	1	no	—
559	C₂×C₄×D₁₃	—	2	1	no	—
560	C₂×C₄×D₁₃	—	2	1	no	—
561	C₂×C₄×D₁₃	—	2	1	no	—
562	C₂×C₄×D₁₃	—	2	1	no	—
563	C₂×C₄×D₁₃	—	2	1	no	—
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	—	2	1	no	—
570	C₂×C₄×D₁₃	—	4	4	no	—
571	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
572	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
573	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
574	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
576	C₂×Dic₂₆	—	2	1	no	—
577	C₂×Dic₂₆	—	2	1	no	—
578	C₂×Dic₂₆	—	2	1	no	—
579	C₂×Dic₂₆	—	2	1	no	—
580	C₂×Dic₂₆	—	2	1	no	—
581	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
582	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
583	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
584	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
585	C₁₃×Q₁₆	—	2	2	no	—
586	C₁₃×Q₁₆	—	4	1	no	—
587	C₁₃×SD₁₆	—	4	1	no	—
588	C₁₃×M₁₆	—	4	1	no	—
589	C₂×C₈×C₁₃	—	4	1	no	—
590	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
591	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
592	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
593	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
594	C₁₃×C₄⋊C₄	—	2	1	no	—
595	C₁₃×C₄⋊C₄	—	2	1	no	—
596	C₁₃×C₄⋊C₄	—	2	1	no	—
597	C₁₃×C₄⋊C₄	—	2	1	no	—
598	C₁₃×C₄⋊C₄	—	2	1	no	—
599	C₁₃×C₄⋊C₄	—	2	1	no	—
600	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₁₃×C₂²⋊C₄	—	2	1	no	—
606	C₁₃×C₂²⋊C₄	—	2	1	no	—
607	C₁₃×C₂²⋊C₄	—	2	1	no	—
608	C₁₃×C₂²⋊C₄	—	2	1	no	—
609	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
614	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₄²×C₁₃	—	2	1	no	—
616	C₄²×C₁₃	—	2	1	no	—
617	C₄²×C₁₃	—	2	1	no	—
618	C₄²×C₁₃	—	2	1	no	—
619	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
620	C₂²⋊Dic₁₃	—	2	1	no	—
621	C₂²⋊Dic₁₃	—	2	1	no	—
622	C₂²⋊Dic₁₃	—	2	1	no	—
623	C₂²⋊Dic₁₃	—	2	1	no	—
624	C₂²⋊Dic₁₃	—	2	1	no	—
625	C₂²⋊Dic₁₃	—	2	1	no	—
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	#6107	—	2	2	no	—
631	#6107	—	4	1	no	—
632	#6107	—	4	1	no	—
633	#6107	—	4	1	no	—
634	#6106	—	2	2	no	—
635	#6105	—	4	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	—	2	1	no	—
661	C₄⋊Dic₁₃	—	2	1	no	—
662	C₄⋊Dic₁₃	—	2	1	no	—
663	C₄⋊Dic₁₃	—	2	1	no	—
664	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
665	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
666	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
677	#6101	—	2	1	no	—
678	#6101	—	2	1	no	—
679	#6101	—	2	1	no	—
680	#6101	—	2	1	no	—
681	#6101	—	2	1	no	—
682	#6101	—	2	1	no	—
683	#6101	—	2	1	no	—
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	#6101	—	2	1	no	—
688	#6101	—	2	1	no	—
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	—	2	1	no	—
696	C₄×Dic₁₃	—	2	1	no	—
697	C₄×Dic₁₃	—	2	1	no	—
698	C₄×Dic₁₃	—	2	1	no	—
699	C₄×Dic₁₃	—	2	1	no	—
700	C₄×Dic₁₃	—	2	1	no	—
701	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
702	C₂×#1055	—	4	1	no	—
703	C₂×#1055	—	4	1	no	—
704	C₂×#1055	C₂⁴	1	1	yes	characteristic
705	C₂×#1055	C₂⁴	1	1	yes	characteristic
706	C₂×#1055	C₂⁴	1	1	yes	characteristic
707	C₂×#1055	C₂⁴	1	1	yes	characteristic
708	Dic₅₂	—	4	1	no	—
709	Dic₅₂	—	4	1	no	—
710	#6095	—	2	2	no	—
711	#6094	—	2	2	no	—
712	#6094	—	2	2	no	—
713	#6094	—	4	1	no	—
714	C₈×D₁₃	—	2	2	no	—
715	C₈×D₁₃	—	2	2	no	—
716	C₈×D₁₃	—	4	1	no	—
717	C₈×D₁₃	—	4	1	no	—
718	C₈×D₁₃	—	4	1	no	—
719	#3495	—	13	1	no	—
720	#3489	—	13	1	no	—
721	#3315	—	13	1	no	—
722	#3315	—	13	1	no	—
723	#3314	—	13	1	no	—
724	#3314	—	13	1	no	—
725	#3313	—	13	1	no	—
726	#3313	D₁₃	1	1	yes	characteristic, complemented
727	#3312	—	13	1	no	—
728	#3312	—	13	1	no	—
729	#3302	—	13	1	no	—
730	#3302	—	13	1	no	—
731	#3300	—	13	1	no	—
732	#3300	—	13	1	no	—
733	#3299	—	13	1	no	—
734	#3299	—	13	1	no	—
735	#3296	—	13	1	no	—
736	#3296	—	13	1	no	—
737	#3137	—	13	1	no	—
738	#3098	—	13	1	no	—
739	#3095	—	13	1	no	—
740	#3083	—	13	1	no	—
741	#3063	—	13	1	no	—
742	C₂×#467	—	13	1	no	—
743	#3044	—	13	1	no	—
744	#3011	—	13	1	no	—
745	#3007	—	13	1	no	—
746	#2947	—	13	1	no	—
747	#2929	—	13	1	no	—
748	#2898	—	13	1	no	—
749	C₂×#416	—	13	1	no	—
750	C₂³×C₁₃	—	2	1	no	—
751	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
752	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
753	C₂²×D₁₃	—	2	1	no	—
754	C₂²×D₁₃	—	2	2	no	—
755	C₂²×D₁₃	—	2	2	no	—
756	C₂²×D₁₃	—	4	1	no	—
757	C₂²×D₁₃	—	4	2	no	—
758	C₂²×D₁₃	—	4	2	no	—
759	C₂²×D₁₃	—	8	1	no	—
760	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
761	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
762	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
763	Q₈×C₁₃	—	2	1	no	—
764	Q₈×C₁₃	—	2	1	no	—
765	Q₈×C₁₃	—	2	1	no	—
766	Q₈×C₁₃	—	2	1	no	—
767	Q₈×C₁₃	—	2	1	no	—
768	Q₈×C₁₃	—	4	2	no	—
769	Q₈×C₁₃	—	8	1	no	—
770	Q₈×C₁₃	C₂×#41	1	2	yes	—
771	D₄×C₁₃	—	2	1	no	—
772	D₄×C₁₃	—	2	1	no	—
773	D₄×C₁₃	—	4	1	no	—
774	D₄×C₁₃	—	4	2	no	—
775	D₄×C₁₃	—	8	1	no	—
776	C₂×C₄×C₁₃	—	2	1	no	—
777	C₂×C₄×C₁₃	—	2	1	no	—
778	C₂×C₄×C₁₃	—	2	1	no	—
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	—	2	1	no	—
786	C₂×C₄×C₁₃	—	2	1	no	—
787	C₂×C₄×C₁₃	—	4	2	no	—
788	C₂×C₄×C₁₃	—	4	2	no	—
789	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
794	C₂²⋊D₁₃	—	2	2	no	—
795	C₂²⋊D₁₃	—	2	2	no	—
796	C₂²⋊D₁₃	—	2	2	no	—
797	C₂²⋊D₁₃	—	4	1	no	—
798	C₂²⋊D₁₃	—	4	2	no	—
799	C₂²⋊D₁₃	—	4	2	no	—
800	C₂²⋊D₁₃	—	4	2	no	—
801	C₂²⋊D₁₃	—	4	2	no	—
802	C₂²⋊D₁₃	—	8	1	no	—
803	C₂×Dic₁₃	—	2	2	no	—
804	C₂×Dic₁₃	—	2	1	no	—
805	C₂×Dic₁₃	—	2	1	no	—
806	C₂×Dic₁₃	—	2	1	no	—
807	C₂×Dic₁₃	—	2	1	no	—
808	C₂×Dic₁₃	—	2	1	no	—
809	C₂×Dic₁₃	—	2	1	no	—
810	C₂×Dic₁₃	—	2	1	no	—
811	C₂×Dic₁₃	—	4	2	no	—
812	C₂×Dic₁₃	—	8	1	no	—
813	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
818	D₅₂	—	2	4	no	—
819	D₅₂	—	2	2	no	—
820	D₅₂	—	2	2	no	—
821	D₅₂	—	2	1	no	—
822	D₅₂	—	4	2	no	—
823	D₅₂	C₂×#41	1	2	yes	—
824	C₄×D₁₃	—	2	2	no	—
825	C₄×D₁₃	—	2	1	no	—
826	C₄×D₁₃	—	2	1	no	—
827	C₄×D₁₃	—	2	1	no	—
828	C₄×D₁₃	—	2	1	no	—
829	C₄×D₁₃	—	2	2	no	—
830	C₄×D₁₃	—	2	4	no	—
831	C₄×D₁₃	—	4	2	no	—
832	C₄×D₁₃	—	4	2	no	—
833	C₄×D₁₃	—	4	2	no	—
834	C₄×D₁₃	—	4	2	no	—
835	C₄×D₁₃	—	4	2	no	—
836	C₄×D₁₃	—	4	2	no	—
837	C₄×D₁₃	—	4	2	no	—
838	C₄×D₁₃	—	4	2	no	—
839	C₄×D₁₃	—	8	1	no	—
840	C₄×D₁₃	—	8	1	no	—
841	C₄×D₁₃	—	8	1	no	—
842	C₄×D₁₃	—	8	1	no	—
843	C₄×D₁₃	—	8	1	no	—
844	C₄×D₁₃	—	8	1	no	—
845	C₄×D₁₃	C₂×#41	1	2	yes	—
846	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
847	Dic₂₆	—	2	2	no	—
848	Dic₂₆	—	2	1	no	—
849	Dic₂₆	—	2	1	no	—
850	Dic₂₆	—	2	1	no	—
851	Dic₂₆	—	2	1	no	—
852	Dic₂₆	—	2	1	no	—
853	Dic₂₆	—	2	1	no	—
854	Dic₂₆	—	4	2	no	—
855	Dic₂₆	—	4	2	no	—
856	Dic₂₆	—	4	2	no	—
857	Dic₂₆	—	4	2	no	—
858	Dic₂₆	—	8	1	no	—
859	C₈×C₁₃	—	2	1	no	—
860	C₈×C₁₃	—	2	1	no	—
861	C₈×C₁₃	—	2	1	no	—
862	C₈×C₁₃	—	2	1	no	—
863	#1055	—	2	1	no	—
864	#1055	—	2	1	no	—
865	#1055	—	2	1	no	—
866	#1055	—	2	1	no	—
867	C₂×2₋¹⁺⁴	—	13	1	no	—
868	C₂²×#41	—	13	1	no	—
869	C₂×#137	—	13	1	no	—
870	C₂×#137	—	13	1	no	—
871	C₂²×Q₁₆	—	13	1	no	—
872	C₂×#131	—	13	1	no	—
873	C₂³×C₈	—	13	1	no	—
874	#556	—	13	1	no	—
875	#556	C₂×D₁₃	1	1	yes	characteristic, complemented
876	#554	—	13	1	no	—
877	#554	—	13	1	no	—
878	#552	—	13	1	no	—
879	#552	—	13	1	no	—
880	#552	—	13	1	no	—
881	#552	—	13	1	no	—
882	#552	—	26	1	no	—
883	#552	—	26	1	no	—
884	#551	—	26	1	no	—
885	#551	—	26	1	no	—
886	D₄×Q₈	—	13	1	no	—
887	D₄×Q₈	—	13	1	no	—
888	#548	—	13	1	no	—
889	#548	C₂×D₁₃	1	1	yes	characteristic
890	#547	—	13	1	no	—
891	#547	—	13	1	no	—
892	#547	—	26	1	no	—
893	#547	—	26	1	no	—
894	#546	—	13	1	no	—
895	#546	—	13	1	no	—
896	#546	—	26	1	no	—
897	#546	—	26	1	no	—
898	#544	—	13	1	no	—
899	#542	—	26	1	no	—
900	#541	—	26	1	no	—
901	#537	—	13	1	no	—
902	#537	—	26	1	no	—
903	#536	—	13	1	no	—
904	#536	—	13	1	no	—
905	#536	—	26	1	no	—
906	#533	—	26	1	no	—
907	#529	—	26	1	no	—
908	#525	—	13	1	no	—
909	#525	—	26	1	no	—
910	C₂×C₂²⋊Q₈	—	13	1	no	—
911	C₂×C₂²⋊Q₈	—	13	1	no	—
912	C₂×C₂²⋊Q₈	—	26	1	no	—
913	#520	—	13	1	no	—
914	#520	—	13	1	no	—
915	#519	—	13	1	no	—
916	C₂×#117	—	13	1	no	—
917	#491	—	13	1	no	—
918	#491	—	13	1	no	—
919	#489	—	13	1	no	—
920	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
921	#488	—	13	1	no	—
922	#488	—	13	1	no	—
923	#487	—	13	1	no	—
924	#487	—	13	1	no	—
925	#485	—	13	1	no	—
926	#485	—	13	1	no	—
927	#485	—	13	1	no	—
928	#485	—	13	1	no	—
929	#485	—	13	1	no	—
930	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
931	#484	—	13	1	no	—
932	#484	—	13	1	no	—
933	#484	—	13	1	no	—
934	#484	—	13	1	no	—
935	#483	—	13	1	no	—
936	#483	—	13	1	no	—
937	#482	—	13	1	no	—
938	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
939	#480	—	13	1	no	—
940	#480	—	13	1	no	—
941	#479	—	13	1	no	—
942	#479	—	13	1	no	—
943	#478	—	13	1	no	—
944	#478	—	13	1	no	—
945	#477	—	13	1	no	—
946	#477	C₂×D₁₃	1	1	yes	characteristic, complemented
947	#474	—	13	1	no	—
948	#474	—	13	1	no	—
949	#470	—	13	1	no	—
950	#470	—	13	1	no	—
951	#468	—	13	1	no	—
952	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
953	#467	—	13	1	no	—
954	#467	—	13	1	no	—
955	#467	—	13	1	no	—
956	#467	—	13	1	no	—
957	#467	—	13	1	no	—
958	#467	—	13	1	no	—
959	#467	—	13	1	no	—
960	#467	—	13	1	no	—
961	#467	—	13	1	no	—
962	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
963	#465	—	13	1	no	—
964	#465	—	13	1	no	—
965	#464	—	13	1	no	—
966	#464	—	13	1	no	—
967	#464	—	13	1	no	—
968	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
969	#462	—	13	1	no	—
970	#462	—	13	1	no	—
971	#462	—	13	1	no	—
972	#462	—	13	1	no	—
973	#452	—	13	1	no	—
974	#452	—	13	1	no	—
975	#452	—	13	1	no	—
976	#452	—	13	1	no	—
977	#452	—	13	1	no	—
978	#452	—	13	1	no	—
979	#452	—	13	1	no	—
980	#452	C₂×D₁₃	1	1	yes	characteristic
981	#451	—	13	1	no	—
982	#451	—	13	1	no	—
983	#451	—	13	1	no	—
984	#451	—	13	1	no	—
985	#451	—	13	1	no	—
986	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
987	#450	—	13	1	no	—
988	#450	—	13	1	no	—
989	#441	—	13	1	no	—
990	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
991	#440	—	13	1	no	—
992	#440	—	13	1	no	—
993	C₄×Q₁₆	—	13	1	no	—
994	C₄×Q₁₆	—	13	1	no	—
995	C₄×SD₁₆	—	13	1	no	—
996	C₄×SD₁₆	—	13	1	no	—
997	#435	—	13	1	no	—
998	#435	—	13	1	no	—
999	#435	—	13	1	no	—
1000	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1001	C₈×D₄	—	13	1	no	—
1002	C₈×D₄	—	13	1	no	—
1003	C₈×D₄	—	13	1	no	—
1004	C₈×D₄	—	13	1	no	—
1005	#428	—	13	1	no	—
1006	#428	—	13	1	no	—
1007	C₂×#107	—	13	1	no	—
1008	#424	—	13	1	no	—
1009	#419	—	13	1	no	—
1010	#419	—	13	1	no	—
1011	#419	—	13	1	no	—
1012	#419	C₂×D₁₃	1	1	yes	characteristic, complemented
1013	#417	—	13	1	no	—
1014	#417	—	13	1	no	—
1015	#417	—	13	1	no	—
1016	#417	—	13	1	no	—
1017	#416	—	13	1	no	—
1018	#416	—	13	1	no	—
1019	#416	—	13	1	no	—
1020	#416	—	13	1	no	—
1021	#416	—	13	1	no	—
1022	#416	—	13	1	no	—
1023	#416	—	13	1	no	—
1024	#416	—	13	1	no	—
1025	#416	—	13	1	no	—
1026	#416	C₂×D₁₃	1	1	yes	characteristic
1027	C₂×#103	—	13	1	no	—
1028	C₂×#103	—	13	1	no	—
1029	C₂×#103	—	13	1	no	—
1030	C₂×#103	—	13	1	no	—
1031	C₂×#103	—	13	1	no	—
1032	C₂×#103	—	13	1	no	—
1033	C₂×#102	—	13	1	no	—
1034	C₂×#102	—	13	1	no	—
1035	#408	—	13	1	no	—
1036	#407	—	13	1	no	—
1037	#405	—	13	1	no	—
1038	C₂²×C₁₃	—	2	1	no	—
1039	C₂²×C₁₃	—	2	1	no	—
1040	C₂²×C₁₃	—	2	1	no	—
1041	C₂²×C₁₃	—	2	1	no	—
1042	C₂²×C₁₃	—	2	1	no	—
1043	C₂²×C₁₃	—	2	1	no	—
1044	C₂²×C₁₃	—	4	1	no	—
1045	C₂²×C₁₃	—	4	1	no	—
1046	C₂²×C₁₃	—	4	1	no	—
1047	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1048	C₂×D₁₃	—	2	1	no	—
1049	C₂×D₁₃	—	2	1	no	—
1050	C₂×D₁₃	—	2	1	no	—
1051	C₂×D₁₃	—	2	1	no	—
1052	C₂×D₁₃	—	2	1	no	—
1053	C₂×D₁₃	—	2	2	no	—
1054	C₂×D₁₃	—	2	1	no	—
1055	C₂×D₁₃	—	2	1	no	—
1056	C₂×D₁₃	—	4	4	no	—
1057	C₂×D₁₃	—	4	1	no	—
1058	C₂×D₁₃	—	4	1	no	—
1059	C₂×D₁₃	—	8	4	no	—
1060	C₂×D₁₃	#546	1	2	yes	—
1061	C₂×D₁₃	#578	1	2	yes	—
1062	C₄×C₁₃	—	2	1	no	—
1063	C₄×C₁₃	—	2	1	no	—
1064	C₄×C₁₃	—	2	2	no	—
1065	C₄×C₁₃	—	2	1	no	—
1066	C₄×C₁₃	—	2	1	no	—
1067	C₄×C₁₃	—	4	1	no	—
1068	C₄×C₁₃	—	4	1	no	—
1069	C₄×C₁₃	—	4	1	no	—
1070	C₄×C₁₃	—	4	1	no	—
1071	C₄×C₁₃	—	4	1	no	—
1072	C₄×C₁₃	—	4	1	no	—
1073	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1074	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1075	Dic₁₃	—	2	1	no	—
1076	Dic₁₃	—	2	1	no	—
1077	Dic₁₃	—	2	1	no	—
1078	Dic₁₃	—	2	1	no	—
1079	Dic₁₃	—	4	1	no	—
1080	Dic₁₃	—	4	1	no	—
1081	Dic₁₃	—	4	1	no	—
1082	Dic₁₃	—	4	1	no	—
1083	Dic₁₃	—	4	1	no	—
1084	Dic₁₃	—	4	1	no	—
1085	Dic₁₃	—	4	1	no	—
1086	Dic₁₃	#546	1	2	yes	—
1087	2₋¹⁺⁴	—	26	4	no	—
1088	2₋¹⁺⁴	—	52	2	no	—
1089	C₂×#41	—	13	1	no	—
1090	C₂×#41	—	13	1	no	—
1091	C₂×#41	—	13	1	no	—
1092	C₂×#41	—	13	1	no	—
1093	C₂×#41	—	13	1	no	—
1094	C₂×#41	—	13	1	no	—
1095	C₂×#41	—	26	1	no	—
1096	C₂×#41	—	26	1	no	—
1097	C₂×#41	—	26	1	no	—
1098	C₂×#41	—	26	1	no	—
1099	C₂×#41	—	26	1	no	—
1100	C₂×#41	—	26	4	no	—
1101	C₂×#41	—	52	2	no	—
1102	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1103	C₂²×Q₈	—	13	1	no	—
1104	C₂²×Q₈	—	13	1	no	—
1105	C₂²×Q₈	—	13	1	no	—
1106	C₂²×Q₈	—	13	1	no	—
1107	C₂²×Q₈	—	26	1	no	—
1108	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1109	C₂²×D₄	—	13	1	no	—
1110	C₂²×D₄	—	26	1	no	—
1111	C₂³×C₄	—	13	1	no	—
1112	C₂³×C₄	—	26	1	no	—
1113	#137	—	26	4	no	—
1114	#137	—	52	2	no	—
1115	C₂×Q₁₆	—	13	1	no	—
1116	C₂×Q₁₆	—	13	1	no	—
1117	C₂×Q₁₆	—	13	1	no	—
1118	C₂×Q₁₆	—	13	1	no	—
1119	C₂×Q₁₆	—	13	1	no	—
1120	C₂×Q₁₆	—	13	1	no	—
1121	C₂×Q₁₆	—	52	2	no	—
1122	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1123	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1124	C₂×SD₁₆	—	13	1	no	—
1125	C₂×SD₁₆	—	13	1	no	—
1126	C₂×SD₁₆	—	13	1	no	—
1127	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1128	#131	—	52	2	no	—
1129	C₂×M₁₆	—	13	1	no	—
1130	C₂×M₁₆	—	13	1	no	—
1131	C₂×M₁₆	—	13	1	no	—
1132	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1133	C₂²×C₈	—	13	1	no	—
1134	C₂²×C₈	—	13	1	no	—
1135	C₂²×C₈	—	13	1	no	—
1136	C₂²×C₈	—	13	1	no	—
1137	C₂²×C₈	—	13	1	no	—
1138	C₂²×C₈	—	13	1	no	—
1139	C₂²×C₈	—	13	1	no	—
1140	C₂²×C₈	—	52	2	no	—
1141	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1142	C₄⋊Q₈	—	13	1	no	—
1143	C₄⋊Q₈	—	13	1	no	—
1144	C₄⋊Q₈	—	13	1	no	—
1145	C₄⋊Q₈	—	26	1	no	—
1146	C₄⋊Q₈	—	26	1	no	—
1147	C₄⋊Q₈	—	26	1	no	—
1148	C₄⋊Q₈	—	26	1	no	—
1149	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1150	#126	—	2	1	no	—
1151	#126	—	2	1	no	—
1152	#126	—	26	1	no	—
1153	#126	—	26	1	no	—
1154	#126	—	26	1	no	—
1155	#126	—	26	1	no	—
1156	#126	—	26	1	no	—
1157	#126	—	26	1	no	—
1158	#125	—	13	1	no	—
1159	#125	—	13	1	no	—
1160	#125	—	26	1	no	—
1161	#125	—	26	1	no	—
1162	#125	—	26	1	no	—
1163	#125	—	26	1	no	—
1164	#125	—	26	1	no	—
1165	#125	—	26	1	no	—
1166	#125	—	26	1	no	—
1167	#124	—	2	1	no	—
1168	#124	—	2	1	no	—
1169	#124	—	13	1	no	—
1170	#124	—	26	1	no	—
1171	#124	—	26	1	no	—
1172	#124	—	26	1	no	—
1173	#124	C₂²×D₁₃	1	1	yes	characteristic
1174	#123	—	13	1	no	—
1175	#123	—	13	1	no	—
1176	#123	—	26	1	no	—
1177	#123	—	26	1	no	—
1178	#123	—	26	1	no	—
1179	#123	—	26	1	no	—
1180	#123	—	26	1	no	—
1181	#123	—	26	1	no	—
1182	#123	—	26	1	no	—
1183	#123	—	26	1	no	—
1184	#123	—	26	1	no	—
1185	#123	—	26	1	no	—
1186	#123	—	26	1	no	—
1187	#123	—	26	1	no	—
1188	#123	—	26	1	no	—
1189	#123	—	26	1	no	—
1190	C₂²⋊Q₈	—	2	1	no	—
1191	C₂²⋊Q₈	—	13	1	no	—
1192	C₂²⋊Q₈	—	13	1	no	—
1193	C₂²⋊Q₈	—	13	1	no	—
1194	C₂²⋊Q₈	—	13	1	no	—
1195	C₂²⋊Q₈	—	13	1	no	—
1196	C₂²⋊Q₈	—	13	1	no	—
1197	C₂²⋊Q₈	—	13	1	no	—
1198	C₂²⋊Q₈	—	13	1	no	—
1199	C₂²⋊Q₈	—	13	1	no	—
1200	C₂²⋊Q₈	—	13	1	no	—
1201	C₂²⋊Q₈	—	13	1	no	—
1202	C₂²⋊Q₈	—	13	1	no	—
1203	C₂²⋊Q₈	—	13	1	no	—
1204	C₂²⋊Q₈	—	26	1	no	—
1205	C₂²⋊Q₈	—	26	1	no	—
1206	C₂²⋊Q₈	—	26	1	no	—
1207	C₂²⋊Q₈	—	26	1	no	—
1208	C₂²⋊Q₈	—	26	1	no	—
1209	C₂²⋊Q₈	—	26	1	no	—
1210	C₂²⋊Q₈	—	26	1	no	—
1211	C₂²⋊Q₈	—	26	1	no	—
1212	C₂²⋊Q₈	—	26	1	no	—
1213	C₂²⋊Q₈	—	26	1	no	—
1214	C₂²⋊Q₈	—	26	1	no	—
1215	C₂²⋊Q₈	—	26	1	no	—
1216	C₂²⋊Q₈	—	26	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	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1223	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1224	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1225	#121	—	2	1	no	—
1226	#121	—	13	1	no	—
1227	#121	—	13	1	no	—
1228	#121	—	13	1	no	—
1229	#121	—	26	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	C₂²×D₁₃	1	1	yes	characteristic
1238	#120	—	13	1	no	—
1239	#120	—	13	1	no	—
1240	#120	—	26	1	no	—
1241	#120	—	26	1	no	—
1242	C₄×Q₈	—	2	1	no	—
1243	C₄×Q₈	—	13	1	no	—
1244	C₄×Q₈	—	13	1	no	—
1245	C₄×Q₈	—	13	1	no	—
1246	C₄×Q₈	—	13	1	no	—
1247	C₄×Q₈	—	26	1	no	—
1248	C₄×Q₈	—	26	1	no	—
1249	C₄×Q₈	—	26	1	no	—
1250	C₄×Q₈	—	26	1	no	—
1251	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1252	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1253	C₄×D₄	—	2	1	no	—
1254	C₄×D₄	—	13	1	no	—
1255	C₄×D₄	—	13	1	no	—
1256	C₄×D₄	—	13	1	no	—
1257	C₄×D₄	—	13	1	no	—
1258	C₄×D₄	—	13	1	no	—
1259	C₄×D₄	—	26	1	no	—
1260	C₄×D₄	—	26	1	no	—
1261	C₄×D₄	—	26	1	no	—
1262	C₄×D₄	—	26	1	no	—
1263	C₄×D₄	—	26	1	no	—
1264	C₄×D₄	—	26	1	no	—
1265	C₄×D₄	—	26	1	no	—
1266	C₄×D₄	—	26	1	no	—
1267	C₄×D₄	—	26	1	no	—
1268	C₄×D₄	—	26	1	no	—
1269	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1270	#117	—	13	1	no	—
1271	#117	—	13	1	no	—
1272	#117	—	13	1	no	—
1273	#117	—	13	1	no	—
1274	#117	—	13	1	no	—
1275	#117	—	26	1	no	—
1276	#117	—	26	1	no	—
1277	#117	—	26	1	no	—
1278	#117	—	26	1	no	—
1279	#117	—	26	1	no	—
1280	#117	—	26	1	no	—
1281	#117	—	26	1	no	—
1282	#117	—	26	1	no	—
1283	#117	—	26	1	no	—
1284	#117	C₂²×D₁₃	1	1	yes	characteristic
1285	#117	C₂²×D₁₃	1	1	yes	characteristic
1286	C₂×C₄⋊C₄	—	13	1	no	—
1287	C₂×C₄⋊C₄	—	13	1	no	—
1288	C₂×C₄⋊C₄	—	13	1	no	—
1289	C₂×C₄⋊C₄	—	13	1	no	—
1290	C₂×C₄⋊C₄	—	13	1	no	—
1291	C₂×C₄⋊C₄	—	13	1	no	—
1292	C₂×C₄⋊C₄	—	26	1	no	—
1293	C₂×C₄⋊C₄	—	26	1	no	—
1294	C₂×C₄⋊C₄	—	26	1	no	—
1295	C₂×C₄⋊C₄	—	26	1	no	—
1296	C₂×C₄⋊C₄	—	26	1	no	—
1297	C₂×C₂²⋊C₄	—	26	1	no	—
1298	C₂×C₂²⋊C₄	—	26	1	no	—
1299	C₂×C₂²⋊C₄	—	26	1	no	—
1300	C₂×C₂²⋊C₄	—	26	1	no	—
1301	C₂×C₂²⋊C₄	—	26	1	no	—
1302	C₂×C₄²	—	26	1	no	—
1303	#107	—	13	1	no	—
1304	#107	—	13	1	no	—
1305	#107	—	13	1	no	—
1306	#107	—	13	1	no	—
1307	#107	—	13	1	no	—
1308	#107	—	13	1	no	—
1309	#107	C₂²×D₁₃	1	1	yes	characteristic
1310	#107	C₂²×D₁₃	1	1	yes	characteristic
1311	#106	—	13	1	no	—
1312	#106	—	13	1	no	—
1313	#106	—	13	1	no	—
1314	#106	C₂²×D₁₃	1	1	yes	characteristic
1315	C₄⋊C₈	—	13	1	no	—
1316	C₄⋊C₈	—	13	1	no	—
1317	C₄⋊C₈	—	13	1	no	—
1318	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1319	#103	—	13	1	no	—
1320	#103	—	13	1	no	—
1321	#103	—	13	1	no	—
1322	#103	—	13	1	no	—
1323	#103	—	13	1	no	—
1324	#103	—	13	1	no	—
1325	#103	—	13	1	no	—
1326	#103	—	13	1	no	—
1327	#103	—	13	1	no	—
1328	#103	—	13	1	no	—
1329	#103	—	13	1	no	—
1330	#103	—	13	1	no	—
1331	#103	—	13	1	no	—
1332	#103	—	13	1	no	—
1333	#103	—	13	1	no	—
1334	#103	—	13	1	no	—
1335	#103	—	13	1	no	—
1336	#103	—	13	1	no	—
1337	#103	—	13	1	no	—
1338	#103	—	13	1	no	—
1339	#103	—	13	1	no	—
1340	#103	C₂²×D₁₃	1	1	yes	characteristic
1341	#103	C₂²×D₁₃	1	1	yes	characteristic
1342	#103	C₂²×D₁₃	1	1	yes	characteristic
1343	#103	C₂²×D₁₃	1	1	yes	characteristic
1344	#103	C₂²×D₁₃	1	1	yes	characteristic
1345	#103	C₂²×D₁₃	1	1	yes	characteristic
1346	#103	C₂²×D₁₃	1	1	yes	characteristic
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	C₂²×D₁₃	1	1	yes	characteristic
1357	#102	C₂²×D₁₃	1	1	yes	characteristic
1358	#102	C₂²×D₁₃	1	1	yes	characteristic
1359	C₂²⋊C₈	—	13	1	no	—
1360	C₂²⋊C₈	—	13	1	no	—
1361	C₂²⋊C₈	—	13	1	no	—
1362	C₂²⋊C₈	—	13	1	no	—
1363	C₂²⋊C₈	—	13	1	no	—
1364	C₂²⋊C₈	—	13	1	no	—
1365	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1366	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1367	#97	—	13	1	no	—
1368	#97	C₂²×D₁₃	1	1	yes	characteristic
1369	C₄×C₈	—	13	1	no	—
1370	C₄×C₈	—	13	1	no	—
1371	C₂×C₁₃	—	4	1	no	—
1372	C₂×C₁₃	—	4	1	no	—
1373	C₂×C₁₃	—	8	1	no	—
1374	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1375	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
1376	C₂×C₁₃	#3584	1	1	yes	characteristic
1377	D₁₃	—	2	2	no	—
1378	D₁₃	—	2	2	no	—
1379	D₁₃	—	4	1	no	—
1380	D₁₃	—	4	2	no	—
1381	C₂⁴	—	13	1	no	—
1382	C₂⁴	—	26	1	no	—
1383	#41	—	2	2	no	—
1384	#41	—	4	1	no	—
1385	#41	—	13	4	no	—
1386	#41	—	26	2	no	—
1387	#41	—	26	2	no	—
1388	#41	—	26	2	no	—
1389	#41	—	26	2	no	—
1390	#41	—	26	2	no	—
1391	#41	—	26	2	no	—
1392	#41	—	26	2	no	—
1393	#41	—	26	2	no	—
1394	#41	—	52	1	no	—
1395	#41	—	52	1	no	—
1396	#41	—	52	4	no	—
1397	#41	—	52	4	no	—
1398	#41	—	52	4	no	—
1399	#41	—	52	4	no	—
1400	#41	—	52	1	no	—
1401	#41	—	52	4	no	—
1402	C₂×Q₈	—	2	1	no	—
1403	C₂×Q₈	—	2	1	no	—
1404	C₂×Q₈	—	2	2	no	—
1405	C₂×Q₈	—	4	1	no	—
1406	C₂×Q₈	—	13	1	no	—
1407	C₂×Q₈	—	13	1	no	—
1408	C₂×Q₈	—	13	1	no	—
1409	C₂×Q₈	—	13	1	no	—
1410	C₂×Q₈	—	26	1	no	—
1411	C₂×Q₈	—	26	1	no	—
1412	C₂×Q₈	—	26	1	no	—
1413	C₂×Q₈	—	26	1	no	—
1414	C₂×Q₈	—	26	1	no	—
1415	C₂×Q₈	—	26	2	no	—
1416	C₂×Q₈	—	26	2	no	—
1417	C₂×Q₈	—	26	2	no	—
1418	C₂×Q₈	—	26	2	no	—
1419	C₂×Q₈	—	26	2	no	—
1420	C₂×Q₈	—	26	2	no	—
1421	C₂×Q₈	—	52	1	no	—
1422	C₂×Q₈	—	52	1	no	—
1423	C₂×Q₈	—	52	4	no	—
1424	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1425	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1426	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1427	C₂×D₄	—	2	1	no	—
1428	C₂×D₄	—	2	1	no	—
1429	C₂×D₄	—	13	1	no	—
1430	C₂×D₄	—	13	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	—	26	1	no	—
1437	C₂×D₄	—	26	1	no	—
1438	C₂×D₄	—	26	1	no	—
1439	C₂×D₄	—	26	2	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	—	52	1	no	—
1445	C₂×D₄	—	52	4	no	—
1446	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1447	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1448	C₂²×C₄	—	2	1	no	—
1449	C₂²×C₄	—	2	1	no	—
1450	C₂²×C₄	—	13	1	no	—
1451	C₂²×C₄	—	13	1	no	—
1452	C₂²×C₄	—	13	1	no	—
1453	C₂²×C₄	—	13	1	no	—
1454	C₂²×C₄	—	13	1	no	—
1455	C₂²×C₄	—	13	1	no	—
1456	C₂²×C₄	—	26	1	no	—
1457	C₂²×C₄	—	26	2	no	—
1458	C₂²×C₄	—	26	2	no	—
1459	C₂²×C₄	—	26	1	no	—
1460	C₂²×C₄	—	26	1	no	—
1461	C₂²×C₄	—	26	1	no	—
1462	C₂²×C₄	—	26	1	no	—
1463	C₂²×C₄	—	26	1	no	—
1464	C₂²×C₄	—	26	1	no	—
1465	C₂²×C₄	—	26	1	no	—
1466	C₂²×C₄	—	26	1	no	—
1467	C₂²×C₄	—	26	1	no	—
1468	C₂²×C₄	—	26	1	no	—
1469	C₂²×C₄	—	26	1	no	—
1470	C₂²×C₄	—	26	1	no	—
1471	C₂²×C₄	—	26	1	no	—
1472	C₂²×C₄	—	26	1	no	—
1473	C₂²×C₄	—	26	1	no	—
1474	C₂²×C₄	—	26	1	no	—
1475	C₂²×C₄	—	52	4	no	—
1476	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1477	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1478	Q₁₆	—	2	2	no	—
1479	Q₁₆	—	4	1	no	—
1480	Q₁₆	—	26	2	no	—
1481	Q₁₆	—	52	1	no	—
1482	Q₁₆	—	52	1	no	—
1483	Q₁₆	—	52	1	no	—
1484	Q₁₆	—	52	1	no	—
1485	Q₁₆	—	52	1	no	—
1486	SD₁₆	—	4	1	no	—
1487	SD₁₆	—	26	2	no	—
1488	SD₁₆	—	26	2	no	—
1489	SD₁₆	—	52	1	no	—
1490	M₁₆	—	4	1	no	—
1491	M₁₆	—	26	2	no	—
1492	M₁₆	—	26	2	no	—
1493	M₁₆	—	52	1	no	—
1494	C₂×C₈	—	4	1	no	—
1495	C₂×C₈	—	13	1	no	—
1496	C₂×C₈	—	13	1	no	—
1497	C₂×C₈	—	13	1	no	—
1498	C₂×C₈	—	13	1	no	—
1499	C₂×C₈	—	26	2	no	—
1500	C₂×C₈	—	26	2	no	—
1501	C₂×C₈	—	52	1	no	—
1502	C₂×C₈	—	52	1	no	—
1503	C₂×C₈	—	52	1	no	—
1504	C₂×C₈	—	52	1	no	—
1505	C₂×C₈	—	52	1	no	—
1506	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1507	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1508	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1509	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	13	1	no	—
1517	C₄⋊C₄	—	13	1	no	—
1518	C₄⋊C₄	—	13	1	no	—
1519	C₄⋊C₄	—	13	1	no	—
1520	C₄⋊C₄	—	13	1	no	—
1521	C₄⋊C₄	—	13	1	no	—
1522	C₄⋊C₄	—	13	1	no	—
1523	C₄⋊C₄	—	13	1	no	—
1524	C₄⋊C₄	—	13	1	no	—
1525	C₄⋊C₄	—	26	1	no	—
1526	C₄⋊C₄	—	26	1	no	—
1527	C₄⋊C₄	—	26	1	no	—
1528	C₄⋊C₄	—	26	1	no	—
1529	C₄⋊C₄	—	26	1	no	—
1530	C₄⋊C₄	—	26	1	no	—
1531	C₄⋊C₄	—	26	1	no	—
1532	C₄⋊C₄	—	26	1	no	—
1533	C₄⋊C₄	—	26	1	no	—
1534	C₄⋊C₄	—	26	1	no	—
1535	C₄⋊C₄	—	26	1	no	—
1536	C₄⋊C₄	—	26	1	no	—
1537	C₄⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1556	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1557	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1558	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1559	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
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	—	13	1	no	—
1569	C₂²⋊C₄	—	13	1	no	—
1570	C₂²⋊C₄	—	13	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	—	26	1	no	—
1577	C₂²⋊C₄	—	26	1	no	—
1578	C₂²⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1597	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1598	C₄²	—	2	1	no	—
1599	C₄²	—	2	1	no	—
1600	C₄²	—	2	1	no	—
1601	C₄²	—	2	1	no	—
1602	C₄²	—	13	1	no	—
1603	C₄²	—	26	1	no	—
1604	C₄²	—	26	1	no	—
1605	C₄²	—	26	1	no	—
1606	C₄²	—	26	1	no	—
1607	C₄²	—	26	1	no	—
1608	C₄²	—	26	1	no	—
1609	C₄²	—	26	1	no	—
1610	C₄²	—	26	1	no	—
1611	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1612	C₁₃	#61173	1	1	yes	characteristic, complemented, Sylow
1613	C₂³	—	2	1	no	—
1614	C₂³	—	13	1	no	—
1615	C₂³	—	13	1	no	—
1616	C₂³	—	13	1	no	—
1617	C₂³	—	26	2	no	—
1618	C₂³	—	26	2	no	—
1619	C₂³	—	26	1	no	—
1620	C₂³	—	52	1	no	—
1621	C₂³	—	52	2	no	—
1622	C₂³	—	52	2	no	—
1623	C₂³	—	104	1	no	—
1624	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1625	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1626	Q₈	—	2	1	no	—
1627	Q₈	—	2	1	no	—
1628	Q₈	—	2	1	no	—
1629	Q₈	—	2	1	no	—
1630	Q₈	—	2	1	no	—
1631	Q₈	—	4	2	no	—
1632	Q₈	—	8	1	no	—
1633	Q₈	—	26	2	no	—
1634	Q₈	—	26	1	no	—
1635	Q₈	—	26	1	no	—
1636	Q₈	—	26	1	no	—
1637	Q₈	—	26	1	no	—
1638	Q₈	—	26	1	no	—
1639	Q₈	—	26	1	no	—
1640	Q₈	—	52	2	no	—
1641	Q₈	—	52	2	no	—
1642	Q₈	—	52	2	no	—
1643	Q₈	—	52	2	no	—
1644	Q₈	—	104	1	no	—
1645	Q₈	#41×D₁₃	1	2	yes	—
1646	D₄	—	2	1	no	—
1647	D₄	—	2	1	no	—
1648	D₄	—	4	1	no	—
1649	D₄	—	4	2	no	—
1650	D₄	—	8	1	no	—
1651	D₄	—	13	2	no	—
1652	D₄	—	26	2	no	—
1653	D₄	—	26	2	no	—
1654	D₄	—	26	4	no	—
1655	D₄	—	26	2	no	—
1656	D₄	—	26	2	no	—
1657	D₄	—	26	2	no	—
1658	D₄	—	26	1	no	—
1659	D₄	—	52	2	no	—
1660	D₄	—	52	1	no	—
1661	D₄	—	52	2	no	—
1662	D₄	—	52	2	no	—
1663	D₄	—	52	2	no	—
1664	D₄	—	52	2	no	—
1665	D₄	—	104	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	2	1	no	—
1677	C₂×C₄	—	4	2	no	—
1678	C₂×C₄	—	4	2	no	—
1679	C₂×C₄	—	13	1	no	—
1680	C₂×C₄	—	13	2	no	—
1681	C₂×C₄	—	13	2	no	—
1682	C₂×C₄	—	13	1	no	—
1683	C₂×C₄	—	13	1	no	—
1684	C₂×C₄	—	13	1	no	—
1685	C₂×C₄	—	13	1	no	—
1686	C₂×C₄	—	26	2	no	—
1687	C₂×C₄	—	26	4	no	—
1688	C₂×C₄	—	26	2	no	—
1689	C₂×C₄	—	26	2	no	—
1690	C₂×C₄	—	26	1	no	—
1691	C₂×C₄	—	26	1	no	—
1692	C₂×C₄	—	26	1	no	—
1693	C₂×C₄	—	26	1	no	—
1694	C₂×C₄	—	26	1	no	—
1695	C₂×C₄	—	26	1	no	—
1696	C₂×C₄	—	26	1	no	—
1697	C₂×C₄	—	26	1	no	—
1698	C₂×C₄	—	26	1	no	—
1699	C₂×C₄	—	26	1	no	—
1700	C₂×C₄	—	26	1	no	—
1701	C₂×C₄	—	52	2	no	—
1702	C₂×C₄	—	52	2	no	—
1703	C₂×C₄	—	52	2	no	—
1704	C₂×C₄	—	52	2	no	—
1705	C₂×C₄	—	52	2	no	—
1706	C₂×C₄	—	52	2	no	—
1707	C₂×C₄	—	52	2	no	—
1708	C₂×C₄	—	52	2	no	—
1709	C₂×C₄	—	52	2	no	—
1710	C₂×C₄	—	104	1	no	—
1711	C₂×C₄	—	104	1	no	—
1712	C₂×C₄	—	104	1	no	—
1713	C₂×C₄	—	104	1	no	—
1714	C₂×C₄	—	104	1	no	—
1715	C₂×C₄	—	104	1	no	—
1716	C₂×C₄	—	104	1	no	—
1717	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1718	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1719	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1720	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1721	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1722	C₈	—	2	1	no	—
1723	C₈	—	2	1	no	—
1724	C₈	—	2	1	no	—
1725	C₈	—	2	1	no	—
1726	C₈	—	26	1	no	—
1727	C₈	—	26	1	no	—
1728	C₈	—	26	1	no	—
1729	C₈	—	26	1	no	—
1730	C₂²	—	2	1	no	—
1731	C₂²	—	2	1	no	—
1732	C₂²	—	2	1	no	—
1733	C₂²	—	2	1	no	—
1734	C₂²	—	2	1	no	—
1735	C₂²	—	2	1	no	—
1736	C₂²	—	4	1	no	—
1737	C₂²	—	4	1	no	—
1738	C₂²	—	4	1	no	—
1739	C₂²	—	13	2	no	—
1740	C₂²	—	13	2	no	—
1741	C₂²	—	26	1	no	—
1742	C₂²	—	26	1	no	—
1743	C₂²	—	26	1	no	—
1744	C₂²	—	26	1	no	—
1745	C₂²	—	26	2	no	—
1746	C₂²	—	26	1	no	—
1747	C₂²	—	26	1	no	—
1748	C₂²	—	26	1	no	—
1749	C₂²	—	52	4	no	—
1750	C₂²	—	52	1	no	—
1751	C₂²	—	52	1	no	—
1752	C₂²	—	104	4	no	—
1753	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1754	C₄	—	2	1	no	—
1755	C₄	—	2	1	no	—
1756	C₄	—	2	2	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	4	1	no	—
1760	C₄	—	4	1	no	—
1761	C₄	—	4	1	no	—
1762	C₄	—	4	1	no	—
1763	C₄	—	4	1	no	—
1764	C₄	—	4	1	no	—
1765	C₄	—	13	2	no	—
1766	C₄	—	26	1	no	—
1767	C₄	—	26	1	no	—
1768	C₄	—	26	1	no	—
1769	C₄	—	26	1	no	—
1770	C₄	—	52	1	no	—
1771	C₄	—	52	1	no	—
1772	C₄	—	52	1	no	—
1773	C₄	—	52	1	no	—
1774	C₄	—	52	1	no	—
1775	C₄	—	52	1	no	—
1776	C₄	—	52	1	no	—
1777	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1778	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1779	C₂	—	4	1	no	—
1780	C₂	—	4	1	no	—
1781	C₂	—	8	1	no	—
1782	C₂	—	26	2	no	—
1783	C₂	—	26	2	no	—
1784	C₂	—	52	1	no	—
1785	C₂	—	52	2	no	—
1786	C₂	D₁₃×#546	1	1	yes	characteristic
1787	C₂	D₁₃×#578	1	1	yes	characteristic
1788	C₂	#13129609	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×#3313	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128515	C₂
hypercenter	#3313	D₁₃
hypocenter	C₁₃	#61173
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3313

Complements

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

N	H ≅ G/N	type
1. #13128581	C₂	semidirect
3. #13126938	C₂	semidirect
4. #13126934	C₂	semidirect
5. #13126916	C₂	semidirect
6. #13126912	C₂	semidirect
7. #13126898	C₂	semidirect
8. #13126892	C₂	semidirect
9. #13126888	C₂	semidirect
10. #13126751	C₂	semidirect
11. #13126747	C₂	semidirect
12. #13126723	C₂	semidirect
13. #13126716	C₂	semidirect
14. #13126709	C₂	semidirect
15. #13126705	C₂	semidirect
16. #13126678	C₂	semidirect
17. #13126674	C₂	semidirect
18. #13125198	C₂	semidirect
19. #13124811	C₂	semidirect
20. #13124783	C₂	semidirect
21. #13124684	C₂	semidirect
22. #13124522	C₂	semidirect
23. D₁₃×#467	C₂	semidirect
24. #13124364	C₂	semidirect
25. #13124126	C₂	semidirect
26. #13124093	C₂	semidirect
27. #13123678	C₂	semidirect
28. #13123527	C₂	semidirect
29. #13123368	C₂	semidirect
30. D₁₃×#416	C₂	semidirect
31. C₁₃×#3313	C₂	semidirect
34. C₁₃×#556	C₂²	semidirect
39. C₂×Q₁₆×D₁₃	C₂²	semidirect
41. C₂×#88161	C₂²	semidirect
44. #11719434	C₂²	semidirect
55. #11719344	C₂²	semidirect
59. #11719333	C₂²	semidirect
72. #11719277	C₂²	semidirect
77. #11719246	C₂²	semidirect
78. #11719238	C₂²	semidirect
80. #11719228	C₂²	semidirect
82. C₁₃×#489	C₂²	semidirect
83. C₁₃×#485	C₂²	semidirect
84. C₁₃×#482	C₂²	semidirect
85. C₁₃×#477	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#467	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
90. C₁₃×#451	C₂²	semidirect
91. C₁₃×#441	C₂²	semidirect
92. C₁₃×#435	C₂²	semidirect
93. C₁₃×#419	C₂²	semidirect
97. #11718889	C₂²	semidirect
98. C₂×#88075	C₂²	semidirect
100. #11718848	C₂²	semidirect
102. #11718847	C₂²	semidirect
103. Q₁₆×Dic₁₃	C₂²	semidirect
104. #11718843	C₂²	semidirect
105. #11718832	C₂²	semidirect
107. #11718827	C₂²	semidirect
108. #11718798	C₂²	semidirect
109. #11718794	C₂²	semidirect
111. #11718777	C₂²	semidirect
113. #11718772	C₂²	semidirect
114. #11718754	C₂²	semidirect
115. #11718748	C₂²	semidirect
116. #11718717	C₂²	semidirect
117. #11718715	C₂²	semidirect
118. #11718712	C₂²	semidirect
119. #11718712	C₂²	semidirect
120. #11718712	C₂²	semidirect
122. #11718708	C₂²	semidirect
123. #11718706	C₂²	semidirect
124. #11718702	C₂²	semidirect
125. #11718694	C₂²	semidirect
126. #11718692	C₂²	semidirect
127. C₄×#6107	C₂²	semidirect
128. C₄×#6106	C₂²	semidirect
129. #11718683	C₂²	semidirect
130. D₄×#1055	C₂²	semidirect
132. #11718663	C₂²	semidirect
133. #11718657	C₂²	semidirect
134. #11718657	C₂²	semidirect
135. #11718552	C₂²	semidirect
136. #11718551	C₂²	semidirect
138. #11718548	C₂²	semidirect
140. #11718545	C₂²	semidirect
141. #11718542	C₂²	semidirect
142. D₁₃×#107	C₂²	semidirect
143. #11718528	C₂²	semidirect
145. #11718522	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718510	C₂²	semidirect
148. #11718508	C₂²	semidirect
149. #11718500	C₂²	semidirect
151. #11718478	C₂²	semidirect
152. #11718477	C₂²	semidirect
155. #11718471	C₂²	semidirect
158. #11718469	C₂²	semidirect
162. #11718465	C₂²	semidirect
164. #11718464	C₂²	semidirect
165. #11718463	C₂²	semidirect
166. #11718463	C₂²	semidirect
167. #11718463	C₂²	semidirect
170. D₁₃×#103	C₂²	semidirect
171. D₁₃×#103	C₂²	semidirect
172. D₁₃×#103	C₂²	semidirect
173. #11718460	C₂²	semidirect
174. #11718458	C₂²	semidirect
175. #11718455	C₂²	semidirect
176. #11718454	C₂²	semidirect
177. #11718453	C₂²	semidirect
178. #11718450	C₂²	semidirect
179. #11718445	C₂²	semidirect
180. #11718441	C₂²	semidirect
182. #11718435	C₂²	semidirect
188. #11718429	C₂²	semidirect
189. #11718428	C₂²	semidirect
190. #11718426	C₂²	semidirect
192. #11718394	C₂²	semidirect
193. #11718388	C₂²	semidirect
196. #11718386	C₂²	semidirect
197. #11718384	C₂²	semidirect
198. #11718383	C₂²	semidirect
199. #11718371	C₂²	semidirect
200. #11718369	C₂²	semidirect
202. #11718364	C₂²	semidirect
726. #3313	D₁₃	semidirect
875. #556	C₂×D₁₃	semidirect
920. #489	C₂×D₁₃	semidirect
930. #485	C₂×D₁₃	semidirect
938. #482	C₂×D₁₃	semidirect
946. #477	C₂×D₁₃	semidirect
952. #468	C₂×D₁₃	semidirect
962. #467	C₂×D₁₃	semidirect
968. #464	C₂×D₁₃	semidirect
986. #451	C₂×D₁₃	semidirect
990. #441	C₂×D₁₃	semidirect
1000. #435	C₂×D₁₃	semidirect
1012. #419	C₂×D₁₃	semidirect
1612. C₁₃	#61173	semidirect

Maximal subgroups

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

subgroup	index
#13128581	2
#13128515	2
#13126938	2
#13126934	2
#13126916	2
#13126912	2
#13126898	2
#13126892	2
#13126888	2
#13126751	2
#13126747	2
#13126723	2
#13126716	2
#13126709	2
#13126705	2
#13126678	2
#13126674	2
#13125198	2
#13124811	2
#13124783	2
#13124684	2
#13124522	2
D₁₃×#467	2
#13124364	2
#13124126	2
#13124093	2
#13123678	2
#13123527	2
#13123368	2
D₁₃×#416	2
C₁₃×#3313	2
#61173	13