Subgroups — #16732931

Order 3328.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128257	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128250	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125524	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125520	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125516	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125512	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125485	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125481	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125474	C₂	1	1	yes	maximal, characteristic, complemented
10	#13125470	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125431	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125429	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125427	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125412	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125411	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125402	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125400	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125371	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125320	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125191	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125187	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124513	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124511	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124504	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124482	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#88168	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#88165	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88170	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×D₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#88161	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3171	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
34	#11719537	—	2	1	no	—
35	#11719533	—	2	1	no	—
36	C₂×#88170	C₂²	1	1	yes	characteristic
37	C₂×#88168	C₂²	1	1	yes	characteristic
38	C₂×#88165	C₂²	1	1	yes	characteristic
39	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×#88161	C₂²	1	1	yes	characteristic
41	C₂×#88161	C₂²	1	1	yes	characteristic
42	#11719438	C₂²	1	1	yes	characteristic, complemented
43	#11719434	C₂²	1	1	yes	characteristic
44	#11719424	C₂²	1	1	yes	characteristic, complemented
45	#11719420	C₂²	1	1	yes	characteristic
46	#11719415	—	2	1	no	—
47	#11719409	—	2	1	no	—
48	#11719403	C₂²	1	1	yes	characteristic, complemented
49	#11719394	C₂²	1	1	yes	characteristic
50	#11719387	C₂²	1	1	yes	characteristic, complemented
51	#11719383	—	2	1	no	—
52	#11719379	C₂²	1	1	yes	characteristic
53	#11719374	—	2	1	no	—
54	#11719368	—	2	1	no	—
55	#11719362	—	2	1	no	—
56	#11719348	C₂²	1	1	yes	characteristic, complemented
57	#11719334	C₂²	1	1	yes	characteristic
58	#11719324	C₂²	1	1	yes	characteristic, complemented
59	#11719324	C₂²	1	1	yes	characteristic, complemented
60	#11719320	—	2	1	no	—
61	#11719318	—	2	1	no	—
62	#11719313	C₂²	1	1	yes	characteristic
63	#11719312	C₂²	1	1	yes	characteristic
64	#11719312	C₂²	1	1	yes	characteristic
65	#11719308	C₂²	1	1	yes	characteristic, complemented
66	#11719285	C₂²	1	1	yes	characteristic, complemented
67	C₄×#6131	C₂²	1	1	yes	characteristic
68	#11719262	C₂²	1	1	yes	characteristic, complemented
69	#11719253	—	2	1	no	—
70	#11719253	C₂²	1	1	yes	characteristic, complemented
71	#11719253	C₂²	1	1	yes	characteristic, complemented
72	#11719252	—	2	1	no	—
73	#11719252	—	2	1	no	—
74	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
75	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
76	#11719243	—	2	1	no	—
77	C₄×#6129	C₂²	1	1	yes	characteristic
78	#11719233	—	2	1	no	—
79	#11719229	—	2	1	no	—
80	#11719184	C₂²	1	1	yes	characteristic, complemented
81	#11719182	C₂²	1	1	yes	characteristic, complemented
82	C₄×#6127	C₂²	1	1	yes	characteristic
83	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#496	C₂²	1	1	yes	characteristic
85	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#469	C₂²	1	1	yes	characteristic
88	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
93	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
94	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
95	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
96	#11718837	C₂²	1	1	yes	characteristic
97	#11718835	C₂²	1	1	yes	characteristic, complemented
98	#11718832	C₂²	1	1	yes	characteristic, complemented
99	#11718829	C₂²	1	1	yes	characteristic
100	#11718825	C₂²	1	1	yes	characteristic, complemented
101	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
102	#11718820	C₂²	1	1	yes	characteristic
103	#11718818	C₂²	1	1	yes	characteristic, complemented
104	#11718815	C₂²	1	1	yes	characteristic
105	#11718813	C₂²	1	1	yes	characteristic, complemented
106	#11718812	C₂²	1	1	yes	characteristic
107	D₈×Dic₁₃	C₂²	1	1	yes	characteristic
108	#11718796	C₂²	1	1	yes	characteristic
109	#11718796	C₂²	1	1	yes	characteristic, complemented
110	#11718795	C₂²	1	1	yes	characteristic, complemented
111	#11718795	C₂²	1	1	yes	characteristic, complemented
112	#11718783	C₂²	1	1	yes	characteristic, complemented
113	#11718783	C₂²	1	1	yes	characteristic, complemented
114	#11718749	C₂²	1	1	yes	characteristic, complemented
115	#11718739	C₂²	1	1	yes	characteristic, complemented
116	#11718734	C₂²	1	1	yes	characteristic
117	#11718731	C₂²	1	1	yes	characteristic, complemented
118	#11718729	C₂²	1	1	yes	characteristic, complemented
119	#11718725	C₂²	1	1	yes	characteristic, complemented
120	#11718720	C₂²	1	1	yes	characteristic
121	#11718717	C₂²	1	1	yes	characteristic, complemented
122	#11718712	C₂²	1	1	yes	characteristic, complemented
123	#11718709	C₂²	1	1	yes	characteristic, complemented
124	#11718702	C₂²	1	1	yes	characteristic, complemented
125	#11718699	C₂²	1	1	yes	characteristic
126	#11718699	C₂²	1	1	yes	characteristic
127	#11718699	C₂²	1	1	yes	characteristic, complemented
128	#11718699	C₂²	1	1	yes	characteristic, complemented
129	#11718699	C₂²	1	1	yes	characteristic, complemented
130	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
131	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
132	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
133	C₄×#6104	C₂²	1	1	yes	characteristic
134	C₄×#6104	C₂²	1	1	yes	characteristic
135	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
136	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
137	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₄×#1055	C₂²	1	1	yes	characteristic, complemented
139	#11718550	C₂²	1	1	yes	characteristic, complemented
140	#11718547	C₂²	1	1	yes	characteristic, complemented
141	#11718544	C₂²	1	1	yes	characteristic, complemented
142	#11718542	C₂²	1	1	yes	characteristic
143	D₁₃×#107	C₂²	1	1	yes	characteristic
144	#11718537	C₂²	1	1	yes	characteristic, complemented
145	#11718535	C₂²	1	1	yes	characteristic, complemented
146	#11718533	C₂²	1	1	yes	characteristic
147	#11718530	C₂²	1	1	yes	characteristic, complemented
148	#11718526	C₂²	1	1	yes	characteristic
149	#11718525	C₂²	1	1	yes	characteristic, complemented
150	#11718522	C₂²	1	1	yes	characteristic
151	#11718521	C₂²	1	1	yes	characteristic
152	#11718519	C₂²	1	1	yes	characteristic, complemented
153	#11718517	C₂²	1	1	yes	characteristic, complemented
154	#11718513	C₂²	1	1	yes	characteristic, complemented
155	#11718478	C₂²	1	1	yes	characteristic, complemented
156	#11718474	C₂²	1	1	yes	characteristic, complemented
157	#11718473	C₂²	1	1	yes	characteristic, complemented
158	#11718465	C₂²	1	1	yes	characteristic
159	#11718464	C₂²	1	1	yes	characteristic
160	#11718461	C₂²	1	1	yes	characteristic, complemented
161	#11718456	C₂²	1	1	yes	characteristic, complemented
162	#11718451	C₂²	1	1	yes	characteristic, complemented
163	#11718446	C₂²	1	1	yes	characteristic, complemented
164	#11718446	C₂²	1	1	yes	characteristic, complemented
165	#11718443	C₂²	1	1	yes	characteristic, complemented
166	#11718443	C₂²	1	1	yes	characteristic, complemented
167	#11718441	C₂²	1	1	yes	characteristic, complemented
168	#11718436	C₂²	1	1	yes	characteristic
169	#11718436	C₂²	1	1	yes	characteristic
170	#11718436	C₂²	1	1	yes	characteristic, complemented
171	#11718433	C₂²	1	1	yes	characteristic
172	#11718432	C₂²	1	1	yes	characteristic
173	#11718431	C₂²	1	1	yes	characteristic
174	#11718431	C₂²	1	1	yes	characteristic
175	D₁₃×#102	C₂²	1	1	yes	characteristic
176	D₁₃×#102	C₂²	1	1	yes	characteristic
177	#11718429	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	#11718421	C₂²	1	1	yes	characteristic, complemented
182	#11718421	C₂²	1	1	yes	characteristic, complemented
183	#11718418	C₂²	1	1	yes	characteristic, complemented
184	#11718417	C₂²	1	1	yes	characteristic
185	#11718417	C₂²	1	1	yes	characteristic
186	#11718417	C₂²	1	1	yes	characteristic, complemented
187	#11718375	C₂²	1	1	yes	characteristic, complemented
188	#11718374	C₂²	1	1	yes	characteristic, complemented
189	#11718373	C₂²	1	1	yes	characteristic
190	#11718369	C₂²	1	1	yes	characteristic
191	#11718369	C₂²	1	1	yes	characteristic
192	#11718369	C₂²	1	1	yes	characteristic, complemented
193	#11718369	C₂²	1	1	yes	characteristic, complemented
194	#11718363	C₂²	1	1	yes	characteristic, complemented
195	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
196	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
197	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
198	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
199	C₄×#6094	C₂²	1	1	yes	characteristic
200	C₄×#6094	C₂²	1	1	yes	characteristic, complemented
201	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
202	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×#6131	C₂³	1	1	yes	characteristic
205	C₂×#6129	C₂³	1	1	yes	characteristic
206	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
208	C₂×#6127	—	2	1	no	—
209	C₂×#6127	—	2	1	no	—
210	C₂×#6127	—	2	1	no	—
211	C₂×#6127	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₁₃	—	2	1	no	—
213	C₂²×C₄×D₁₃	—	2	1	no	—
214	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
220	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×#127	C₂³	1	1	yes	characteristic
222	C₁₃×#126	—	2	1	no	—
223	C₁₃×#125	C₂³	1	1	yes	characteristic
224	C₁₃×#124	—	2	1	no	—
225	C₁₃×#124	C₂³	1	1	yes	characteristic
226	C₁₃×#123	—	2	1	no	—
227	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₁₃×#121	—	2	1	no	—
229	C₁₃×#121	C₂³	1	1	yes	characteristic
230	C₁₃×#121	C₂³	1	1	yes	characteristic
231	C₁₃×#121	C₂³	1	1	yes	characteristic
232	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	—	2	1	no	—
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	—	2	1	no	—
239	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
240	#88201	—	2	1	no	—
241	#88201	C₂³	1	1	yes	characteristic
242	#88200	—	2	1	no	—
243	#88200	—	2	1	no	—
244	#88200	C₂³	1	1	yes	characteristic
245	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
246	#88198	—	2	1	no	—
247	C₂×#6107	C₂³	1	1	yes	characteristic
248	C₂×#6106	C₂³	1	1	yes	characteristic
249	#88194	—	2	1	no	—
250	#88194	—	2	1	no	—
251	#88194	C₂³	1	1	yes	characteristic
252	#88194	C₂³	1	1	yes	characteristic
253	#88193	—	2	1	no	—
254	#88193	—	2	1	no	—
255	#88193	—	2	1	no	—
256	#88193	—	2	1	no	—
257	#88193	—	2	1	no	—
258	#88193	—	2	1	no	—
259	#88193	—	2	1	no	—
260	#88192	—	2	1	no	—
261	#88192	—	2	1	no	—
262	#88192	—	2	1	no	—
263	#88192	C₂³	1	1	yes	characteristic
264	#88192	C₂³	1	1	yes	characteristic
265	#88192	C₂³	1	1	yes	characteristic
266	#88191	—	2	1	no	—
267	#88191	—	2	1	no	—
268	#88191	—	2	1	no	—
269	#88191	—	2	1	no	—
270	#88190	—	2	1	no	—
271	#88190	C₂³	1	1	yes	characteristic
272	#88189	—	2	1	no	—
273	#88189	—	2	1	no	—
274	#88189	—	2	1	no	—
275	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
276	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
277	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×#6105	C₂³	1	1	yes	characteristic
279	C₂×#6104	C₂³	1	1	yes	characteristic
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	#88184	—	2	1	no	—
285	#88184	C₂³	1	1	yes	characteristic
286	#88184	C₂³	1	1	yes	characteristic
287	#88184	C₂³	1	1	yes	characteristic
288	#88183	—	2	1	no	—
289	C₄×C₂²⋊D₁₃	—	2	1	no	—
290	C₄×C₂²⋊D₁₃	—	2	1	no	—
291	C₄×C₂²⋊D₁₃	—	2	1	no	—
292	C₄×C₂²⋊D₁₃	—	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	D₄	1	1	yes	characteristic
297	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
298	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
299	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
300	#88180	—	2	1	no	—
301	#88180	C₂³	1	1	yes	characteristic
302	#88178	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₃	—	2	1	no	—
304	C₂²×#1055	C₂³	1	1	yes	characteristic
305	C₂²×#1055	C₂³	1	1	yes	characteristic
306	#88170	—	2	4	no	—
307	#88168	—	2	4	no	—
308	#88165	—	2	4	no	—
309	D₈×D₁₃	—	2	4	no	—
310	#88161	—	2	4	no	—
311	#88161	—	2	4	no	—
312	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
313	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
314	C₂×#6095	C₂³	1	1	yes	characteristic
315	C₂×#6095	C₂³	1	1	yes	characteristic
316	C₂×#6094	C₂³	1	1	yes	characteristic
317	C₂×#6094	C₂³	1	1	yes	characteristic
318	C₂×#6094	C₂³	1	1	yes	characteristic
319	C₂×#6094	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
321	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
322	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
324	#88152	—	2	1	no	—
325	#88152	—	2	1	no	—
326	#88152	—	2	1	no	—
327	#88151	—	2	1	no	—
328	#88151	—	2	1	no	—
329	#88151	C₂³	1	1	yes	characteristic
330	#88150	—	2	1	no	—
331	#88150	—	2	1	no	—
332	#88150	—	2	1	no	—
333	#88149	—	2	1	no	—
334	#88149	—	2	1	no	—
335	#88149	—	2	1	no	—
336	#88149	C₂³	1	1	yes	characteristic
337	#88149	C₂³	1	1	yes	characteristic
338	#88149	C₂³	1	1	yes	characteristic
339	#88148	—	2	1	no	—
340	#88148	—	2	1	no	—
341	#88148	—	2	1	no	—
342	#88148	—	2	1	no	—
343	#88147	—	2	1	no	—
344	#88147	C₂³	1	1	yes	characteristic
345	#88147	C₂³	1	1	yes	characteristic
346	#88147	C₂³	1	1	yes	characteristic
347	#88146	—	2	1	no	—
348	#88146	C₂³	1	1	yes	characteristic
349	#88146	C₂³	1	1	yes	characteristic
350	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
351	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
352	#88144	C₂³	1	1	yes	characteristic
353	#88144	C₂³	1	1	yes	characteristic
354	#88143	—	2	1	no	—
355	#88143	—	2	1	no	—
356	#88142	—	2	1	no	—
357	#88142	C₂³	1	1	yes	characteristic
358	#88142	C₂³	1	1	yes	characteristic
359	#88141	C₂³	1	1	yes	characteristic
360	#88140	—	2	1	no	—
361	#88140	—	2	1	no	—
362	#88140	—	2	1	no	—
363	#88139	—	2	1	no	—
364	#88139	—	2	1	no	—
365	#88139	—	2	1	no	—
366	#88139	—	2	1	no	—
367	#88139	—	2	1	no	—
368	#88139	—	2	1	no	—
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	—	2	1	no	—
376	#88137	—	2	1	no	—
377	#88137	—	2	1	no	—
378	#88137	—	2	1	no	—
379	#88137	—	2	1	no	—
380	#88136	—	2	1	no	—
381	#88136	—	2	1	no	—
382	#88136	—	2	1	no	—
383	#88136	—	2	1	no	—
384	#88135	—	2	1	no	—
385	#88135	—	2	1	no	—
386	#88135	—	2	1	no	—
387	C₂²⋊C₄×D₁₃	—	2	1	no	—
388	C₂²⋊C₄×D₁₃	—	2	1	no	—
389	#88133	—	2	1	no	—
390	#88133	—	2	1	no	—
391	#88133	—	2	1	no	—
392	#88132	—	2	1	no	—
393	#88132	—	2	1	no	—
394	#88132	—	2	1	no	—
395	#88131	—	2	1	no	—
396	#88130	—	2	1	no	—
397	#88129	—	2	1	no	—
398	#88129	C₂³	1	1	yes	characteristic
399	#88128	C₂³	1	1	yes	characteristic
400	C₄×D₅₂	—	2	1	no	—
401	C₄×D₅₂	—	2	1	no	—
402	C₄×D₅₂	—	2	1	no	—
403	C₄×D₅₂	D₄	1	1	yes	characteristic
404	C₄×D₅₂	D₄	1	1	yes	characteristic
405	C₄×D₅₂	C₂³	1	1	yes	characteristic
406	C₄×D₅₂	C₂³	1	1	yes	characteristic
407	C₄×D₅₂	C₂³	1	1	yes	characteristic
408	#88126	—	2	1	no	—
409	#88126	—	2	1	no	—
410	#88126	C₂³	1	1	yes	characteristic
411	#88126	C₂³	1	1	yes	characteristic
412	C₄²×D₁₃	—	2	1	no	—
413	C₄²×D₁₃	C₂³	1	1	yes	characteristic
414	C₄²×D₁₃	C₂³	1	1	yes	characteristic
415	#88124	C₂³	1	1	yes	characteristic
416	#88123	C₂³	1	1	yes	characteristic
417	C₄×Dic₂₆	D₄	1	1	yes	characteristic
418	C₄×Dic₂₆	D₄	1	1	yes	characteristic
419	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
420	C₁₃×#107	C₂³	1	1	yes	characteristic
421	C₁₃×#107	C₂³	1	1	yes	characteristic
422	C₁₃×#106	C₂³	1	1	yes	characteristic
423	C₁₃×#106	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#102	C₂³	1	1	yes	characteristic
427	C₁₃×#102	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×#97	C₂³	1	1	yes	characteristic
433	C₁₃×#97	C₂³	1	1	yes	characteristic
434	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
435	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88072	C₂³	1	1	yes	characteristic
439	#88072	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	#88058	C₂³	1	1	yes	characteristic
451	#88058	C₂³	1	1	yes	characteristic
452	#88057	C₂³	1	1	yes	characteristic
453	#88057	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	#88055	C₂³	1	1	yes	characteristic
460	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
461	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
462	C₈×Dic₁₃	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	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88049	C₂³	1	1	yes	characteristic
470	#88049	C₂³	1	1	yes	characteristic
471	#88049	C₂³	1	1	yes	characteristic
472	#88048	C₂³	1	1	yes	characteristic
473	#88048	C₂³	1	1	yes	characteristic
474	#88047	C₂³	1	1	yes	characteristic
475	#88047	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	#88047	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	#60695	—	13	1	no	maximal, Sylow
485	C₂³×D₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	1	no	—
487	C₁₃×#41	—	8	2	no	—
488	C₂×Q₈×C₁₃	—	2	1	no	—
489	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
490	C₂×D₄×C₁₃	—	2	1	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	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₁₃	—	2	1	no	—
499	C₂²×C₄×C₁₃	—	2	1	no	—
500	C₂²×C₄×C₁₃	—	2	1	no	—
501	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
502	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×C₂²⋊D₁₃	—	2	1	no	—
505	C₂×C₂²⋊D₁₃	—	2	1	no	—
506	C₂×C₂²⋊D₁₃	—	2	1	no	—
507	C₂×C₂²⋊D₁₃	—	2	1	no	—
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂×C₂²⋊D₁₃	—	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	C₂×D₄	1	1	yes	characteristic
518	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂²×Dic₁₃	—	2	1	no	—
520	C₂²×Dic₁₃	—	2	1	no	—
521	C₂²×Dic₁₃	—	2	1	no	—
522	C₂²×Dic₁₃	—	2	1	no	—
523	#6131	—	2	2	no	—
524	#6131	—	2	2	no	—
525	#6129	—	2	2	no	—
526	#6129	—	2	2	no	—
527	D₄×D₁₃	—	2	2	no	—
528	D₄×D₁₃	—	2	2	no	—
529	D₄×D₁₃	—	2	2	no	—
530	D₄×D₁₃	—	2	2	no	—
531	#6127	—	2	2	no	—
532	#6127	—	2	2	no	—
533	#6127	—	8	2	no	—
534	#6127	—	8	2	no	—
535	#6127	—	8	2	no	—
536	C₂×D₅₂	—	2	1	no	—
537	C₂×D₅₂	—	2	1	no	—
538	C₂×D₅₂	—	2	1	no	—
539	C₂×D₅₂	—	2	1	no	—
540	C₂×D₅₂	—	2	1	no	—
541	C₂×D₅₂	—	2	1	no	—
542	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
543	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
544	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
545	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
546	C₂×C₄×D₁₃	—	2	1	no	—
547	C₂×C₄×D₁₃	—	2	1	no	—
548	C₂×C₄×D₁₃	—	2	1	no	—
549	C₂×C₄×D₁₃	—	2	1	no	—
550	C₂×C₄×D₁₃	—	2	1	no	—
551	C₂×C₄×D₁₃	—	2	1	no	—
552	C₂×C₄×D₁₃	—	2	1	no	—
553	C₂×C₄×D₁₃	—	2	1	no	—
554	C₂×C₄×D₁₃	—	2	1	no	—
555	C₂×C₄×D₁₃	—	8	2	no	—
556	C₂×C₄×D₁₃	—	8	2	no	—
557	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
558	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
559	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
560	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
561	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
562	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
563	C₂×Dic₂₆	—	2	1	no	—
564	C₂×Dic₂₆	—	2	1	no	—
565	C₂×Dic₂₆	—	2	1	no	—
566	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
567	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
568	C₁₃×SD₁₆	—	2	2	no	—
569	C₁₃×SD₁₆	—	2	2	no	—
570	C₁₃×D₈	—	2	2	no	—
571	C₁₃×D₈	—	2	2	no	—
572	C₁₃×M₁₆	—	2	2	no	—
573	C₁₃×M₁₆	—	2	2	no	—
574	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
576	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₁₃×C₄⋊C₄	—	2	1	no	—
579	C₁₃×C₄⋊C₄	—	2	1	no	—
580	C₁₃×C₄⋊C₄	—	2	1	no	—
581	C₁₃×C₄⋊C₄	—	2	1	no	—
582	C₁₃×C₄⋊C₄	—	2	1	no	—
583	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
584	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₁₃×C₂²⋊C₄	—	2	1	no	—
588	C₁₃×C₂²⋊C₄	—	2	1	no	—
589	C₁₃×C₂²⋊C₄	—	2	1	no	—
590	C₁₃×C₂²⋊C₄	—	2	1	no	—
591	C₁₃×C₂²⋊C₄	—	2	1	no	—
592	C₁₃×C₂²⋊C₄	—	2	1	no	—
593	C₁₃×C₂²⋊C₄	—	2	1	no	—
594	C₁₃×C₂²⋊C₄	—	2	1	no	—
595	C₁₃×C₂²⋊C₄	—	2	1	no	—
596	C₄²×C₁₃	—	2	1	no	—
597	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
598	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
599	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
600	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
601	C₂²⋊Dic₁₃	—	2	1	no	—
602	C₂²⋊Dic₁₃	—	2	1	no	—
603	C₂²⋊Dic₁₃	—	2	1	no	—
604	C₂²⋊Dic₁₃	—	2	1	no	—
605	C₂²⋊Dic₁₃	—	2	1	no	—
606	C₂²⋊Dic₁₃	—	2	1	no	—
607	C₂²⋊Dic₁₃	—	2	1	no	—
608	C₂²⋊Dic₁₃	—	2	1	no	—
609	C₂²⋊Dic₁₃	—	2	1	no	—
610	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
611	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
612	#6107	—	2	2	no	—
613	#6106	—	2	2	no	—
614	#6105	—	2	2	no	—
615	#6104	—	2	2	no	—
616	#6104	—	2	2	no	—
617	#6104	—	2	2	no	—
618	#6104	—	2	2	no	—
619	#6104	—	2	2	no	—
620	#6103	—	2	1	no	—
621	#6103	—	2	1	no	—
622	#6103	—	2	1	no	—
623	#6103	—	2	1	no	—
624	#6103	—	2	1	no	—
625	#6103	—	2	1	no	—
626	#6103	—	2	1	no	—
627	#6103	—	2	1	no	—
628	#6103	—	2	1	no	—
629	#6103	—	2	1	no	—
630	#6103	—	2	1	no	—
631	#6103	—	2	1	no	—
632	#6103	—	2	1	no	—
633	#6103	—	2	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	C₂×D₄	1	1	yes	characteristic
641	#6103	C₂×D₄	1	1	yes	characteristic
642	#6103	C₂×D₄	1	1	yes	characteristic
643	#6103	C₂×D₄	1	1	yes	characteristic
644	C₄⋊Dic₁₃	—	2	1	no	—
645	C₄⋊Dic₁₃	—	2	1	no	—
646	C₄⋊Dic₁₃	—	2	1	no	—
647	C₄⋊Dic₁₃	—	2	1	no	—
648	C₄⋊Dic₁₃	—	2	1	no	—
649	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
650	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
651	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
652	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
653	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
655	#6101	—	2	1	no	—
656	#6101	—	2	1	no	—
657	#6101	—	2	1	no	—
658	#6101	—	2	1	no	—
659	#6101	—	2	1	no	—
660	#6101	—	2	1	no	—
661	#6101	—	2	1	no	—
662	#6101	—	2	1	no	—
663	#6101	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	C₂×D₄	1	1	yes	characteristic
668	#6101	C₂×D₄	1	1	yes	characteristic
669	#6101	C₂×D₄	1	1	yes	characteristic
670	#6101	C₂×D₄	1	1	yes	characteristic
671	C₄×Dic₁₃	—	2	1	no	—
672	C₄×Dic₁₃	—	2	1	no	—
673	C₄×Dic₁₃	—	2	1	no	—
674	C₄×Dic₁₃	—	2	1	no	—
675	C₄×Dic₁₃	—	2	1	no	—
676	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
677	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
678	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
679	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
680	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
681	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
682	C₂×#1055	—	2	2	no	—
683	C₂×#1055	—	2	2	no	—
684	C₂×#1055	C₂⁴	1	1	yes	characteristic
685	C₂×#1055	C₂⁴	1	1	yes	characteristic
686	C₂×#1055	C₂⁴	1	1	yes	characteristic
687	C₂×#1055	C₂⁴	1	1	yes	characteristic
688	D₁₀₄	—	2	2	no	—
689	D₁₀₄	—	2	2	no	—
690	#6095	—	2	2	no	—
691	#6095	—	2	2	no	—
692	#6094	—	2	2	no	—
693	#6094	—	2	2	no	—
694	#6094	—	2	2	no	—
695	#6094	#41	1	4	yes	complemented
696	C₈×D₁₃	—	2	2	no	—
697	C₈×D₁₃	—	2	2	no	—
698	C₈×D₁₃	—	2	2	no	—
699	C₈×D₁₃	#41	1	4	yes	complemented
700	#3460	—	13	1	no	—
701	#3460	—	13	1	no	—
702	#3179	—	13	1	no	—
703	#3179	—	13	1	no	—
704	#3179	—	13	1	no	—
705	#3179	—	13	1	no	—
706	#3176	—	13	1	no	—
707	#3176	—	13	1	no	—
708	#3175	—	13	1	no	—
709	#3175	—	13	1	no	—
710	#3171	—	13	1	no	—
711	#3171	—	13	1	no	—
712	#3171	—	13	1	no	—
713	#3171	D₁₃	1	1	yes	characteristic, complemented
714	#3169	—	13	1	no	—
715	#3169	—	13	1	no	—
716	#3168	—	13	1	no	—
717	#3168	—	13	1	no	—
718	#3164	—	13	1	no	—
719	#3155	—	13	1	no	—
720	#3136	—	13	1	no	—
721	#3136	—	13	1	no	—
722	#3062	—	13	1	no	—
723	#3062	—	13	1	no	—
724	#3061	—	13	1	no	—
725	#3058	—	13	1	no	—
726	C₄×AGL(1,ℤ/8)	—	13	1	no	—
727	C₄×AGL(1,ℤ/8)	—	13	1	no	—
728	C₄×#135	—	13	1	no	—
729	C₂×C₄×D₈	—	13	1	no	—
730	C₄×#131	—	13	1	no	—
731	C₂³×C₁₃	—	2	1	no	—
732	C₂³×C₁₃	—	2	1	no	—
733	C₂³×C₁₃	—	2	1	no	—
734	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
735	C₂²×D₁₃	—	2	1	no	—
736	C₂²×D₁₃	—	2	1	no	—
737	C₂²×D₁₃	—	2	1	no	—
738	C₂²×D₁₃	—	4	2	no	—
739	C₂²×D₁₃	—	4	2	no	—
740	C₂²×D₁₃	—	8	1	no	—
741	C₂²×D₁₃	—	8	1	no	—
742	C₂²×D₁₃	—	8	1	no	—
743	C₂²×D₁₃	—	8	1	no	—
744	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
745	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
746	Q₈×C₁₃	—	2	1	no	—
747	Q₈×C₁₃	—	2	1	no	—
748	Q₈×C₁₃	—	8	1	no	—
749	D₄×C₁₃	—	2	1	no	—
750	D₄×C₁₃	—	2	1	no	—
751	D₄×C₁₃	—	2	1	no	—
752	D₄×C₁₃	—	2	1	no	—
753	D₄×C₁₃	—	2	1	no	—
754	D₄×C₁₃	—	2	1	no	—
755	D₄×C₁₃	—	8	1	no	—
756	D₄×C₁₃	—	8	1	no	—
757	D₄×C₁₃	—	8	1	no	—
758	D₄×C₁₃	—	8	1	no	—
759	D₄×C₁₃	—	8	1	no	—
760	C₂×C₄×C₁₃	—	2	2	no	—
761	C₂×C₄×C₁₃	—	2	1	no	—
762	C₂×C₄×C₁₃	—	2	1	no	—
763	C₂×C₄×C₁₃	—	2	1	no	—
764	C₂×C₄×C₁₃	—	2	1	no	—
765	C₂×C₄×C₁₃	—	2	1	no	—
766	C₂×C₄×C₁₃	—	2	1	no	—
767	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	4	1	no	—
769	C₂×C₄×C₁₃	—	4	2	no	—
770	C₂×C₄×C₁₃	—	4	2	no	—
771	C₂×C₄×C₁₃	—	4	2	no	—
772	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
773	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
774	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
775	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
776	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
778	C₂²⋊D₁₃	—	2	2	no	—
779	C₂²⋊D₁₃	—	2	2	no	—
780	C₂²⋊D₁₃	—	4	2	no	—
781	C₂²⋊D₁₃	—	4	2	no	—
782	C₂²⋊D₁₃	—	4	2	no	—
783	C₂²⋊D₁₃	—	8	1	no	—
784	C₂²⋊D₁₃	—	8	1	no	—
785	C₂²⋊D₁₃	—	8	1	no	—
786	C₂²⋊D₁₃	—	8	1	no	—
787	C₂²⋊D₁₃	—	8	1	no	—
788	C₂²⋊D₁₃	—	8	1	no	—
789	C₂²⋊D₁₃	—	8	1	no	—
790	C₂²⋊D₁₃	—	8	1	no	—
791	C₂²⋊D₁₃	—	8	1	no	—
792	C₂²⋊D₁₃	—	8	1	no	—
793	C₂×Dic₁₃	—	2	1	no	—
794	C₂×Dic₁₃	—	2	1	no	—
795	C₂×Dic₁₃	—	2	1	no	—
796	C₂×Dic₁₃	—	2	1	no	—
797	C₂×Dic₁₃	—	2	1	no	—
798	C₂×Dic₁₃	—	4	2	no	—
799	C₂×Dic₁₃	—	8	1	no	—
800	C₂×Dic₁₃	—	8	1	no	—
801	C₂×Dic₁₃	—	8	1	no	—
802	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
803	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
804	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
805	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
806	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
807	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
808	D₅₂	—	2	2	no	—
809	D₅₂	—	2	1	no	—
810	D₅₂	—	2	1	no	—
811	D₅₂	—	2	1	no	—
812	D₅₂	—	2	1	no	—
813	D₅₂	—	2	1	no	—
814	D₅₂	—	2	1	no	—
815	D₅₂	—	4	2	no	—
816	D₅₂	—	8	1	no	—
817	D₅₂	—	8	1	no	—
818	D₅₂	—	8	1	no	—
819	D₅₂	—	8	1	no	—
820	D₅₂	—	8	1	no	—
821	C₄×D₁₃	—	2	2	no	—
822	C₄×D₁₃	—	2	2	no	—
823	C₄×D₁₃	—	2	1	no	—
824	C₄×D₁₃	—	2	1	no	—
825	C₄×D₁₃	—	4	1	no	—
826	C₄×D₁₃	—	4	1	no	—
827	C₄×D₁₃	—	4	2	no	—
828	C₄×D₁₃	—	4	2	no	—
829	C₄×D₁₃	—	4	2	no	—
830	C₄×D₁₃	—	4	2	no	—
831	C₄×D₁₃	—	8	1	no	—
832	C₄×D₁₃	—	8	1	no	—
833	C₄×D₁₃	—	8	1	no	—
834	C₄×D₁₃	—	8	1	no	—
835	C₄×D₁₃	—	8	1	no	—
836	C₄×D₁₃	C₂×#41	1	2	yes	—
837	C₄×D₁₃	C₂×#41	1	2	yes	—
838	Dic₂₆	—	2	2	no	—
839	Dic₂₆	—	2	1	no	—
840	Dic₂₆	—	2	1	no	—
841	Dic₂₆	—	8	1	no	—
842	Dic₂₆	—	8	1	no	—
843	Dic₂₆	—	8	1	no	—
844	C₈×C₁₃	—	2	1	no	—
845	C₈×C₁₃	—	2	1	no	—
846	C₈×C₁₃	C₂×#41	1	2	yes	—
847	C₈×C₁₃	C₂×#41	1	2	yes	—
848	#1055	—	2	1	no	—
849	#1055	—	2	1	no	—
850	#1055	C₂×#41	1	2	yes	—
851	#1055	C₂×#41	1	2	yes	—
852	C₂×AGL(1,ℤ/8)	—	13	1	no	—
853	C₂×AGL(1,ℤ/8)	—	13	1	no	—
854	C₂×#135	—	13	1	no	—
855	C₂²×D₈	—	13	1	no	—
856	C₂×#131	—	13	1	no	—
857	C₂×#131	—	13	1	no	—
858	#544	—	13	1	no	—
859	#544	—	13	1	no	—
860	#542	—	13	1	no	—
861	#542	—	13	1	no	—
862	#542	—	13	1	no	—
863	#542	—	13	1	no	—
864	#542	—	26	1	no	—
865	#542	—	26	1	no	—
866	#540	—	13	1	no	—
867	#540	—	13	1	no	—
868	#540	—	13	1	no	—
869	#540	—	13	1	no	—
870	#540	—	26	1	no	—
871	#540	—	26	1	no	—
872	#538	—	26	1	no	—
873	#538	—	26	1	no	—
874	#538	—	26	1	no	—
875	#538	—	26	1	no	—
876	#537	—	13	1	no	—
877	#537	—	13	1	no	—
878	#535	—	13	1	no	—
879	#535	—	13	1	no	—
880	#535	—	13	1	no	—
881	#535	—	13	1	no	—
882	#532	—	13	1	no	—
883	#532	—	13	1	no	—
884	#532	—	13	1	no	—
885	#532	—	26	1	no	—
886	#532	—	26	1	no	—
887	#532	C₂×D₁₃	1	1	yes	characteristic, complemented
888	#529	—	13	1	no	—
889	#529	—	13	1	no	—
890	#529	—	13	1	no	—
891	#529	—	26	1	no	—
892	#529	—	26	1	no	—
893	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
894	#525	—	26	1	no	—
895	#525	—	26	1	no	—
896	#525	—	26	1	no	—
897	#525	—	26	1	no	—
898	C₄×#41	—	13	1	no	—
899	C₄×#41	—	13	1	no	—
900	C₄×#41	—	13	1	no	—
901	C₂×C₄×D₄	—	13	1	no	—
902	C₂×C₄×D₄	—	13	1	no	—
903	#501	—	13	1	no	—
904	#501	—	13	1	no	—
905	#501	—	13	1	no	—
906	#501	C₂×D₁₃	1	1	yes	characteristic, complemented
907	#500	—	13	1	no	—
908	#500	—	13	1	no	—
909	#499	—	13	1	no	—
910	#499	—	13	1	no	—
911	#496	—	13	1	no	—
912	#496	—	13	1	no	—
913	#496	—	13	1	no	—
914	#496	C₂×D₁₃	1	1	yes	characteristic
915	#495	—	13	1	no	—
916	#495	—	13	1	no	—
917	#493	—	13	1	no	—
918	#493	—	13	1	no	—
919	#490	—	13	1	no	—
920	#490	—	13	1	no	—
921	#490	—	13	1	no	—
922	#490	C₂×D₁₃	1	1	yes	characteristic, complemented
923	#489	—	13	1	no	—
924	#489	—	13	1	no	—
925	#489	—	13	1	no	—
926	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
927	#488	—	13	1	no	—
928	#488	—	13	1	no	—
929	#488	—	13	1	no	—
930	#488	—	13	1	no	—
931	#486	—	13	1	no	—
932	#486	—	13	1	no	—
933	#486	—	13	1	no	—
934	#486	—	13	1	no	—
935	#469	—	13	1	no	—
936	#469	—	13	1	no	—
937	#469	—	13	1	no	—
938	#469	—	13	1	no	—
939	#469	—	13	1	no	—
940	#469	—	13	1	no	—
941	#469	C₂×D₁₃	1	1	yes	characteristic
942	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
943	#468	—	13	1	no	—
944	#468	—	13	1	no	—
945	#468	—	13	1	no	—
946	#468	—	13	1	no	—
947	#468	—	13	1	no	—
948	#468	—	13	1	no	—
949	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
950	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
951	#467	—	13	1	no	—
952	#467	—	13	1	no	—
953	#466	—	13	1	no	—
954	#466	—	13	1	no	—
955	#466	—	13	1	no	—
956	#466	—	13	1	no	—
957	#466	—	13	1	no	—
958	#466	—	13	1	no	—
959	#466	—	13	1	no	—
960	#466	—	13	1	no	—
961	#466	—	13	1	no	—
962	#466	—	13	1	no	—
963	#465	—	13	1	no	—
964	#465	—	13	1	no	—
965	#465	—	13	1	no	—
966	#465	—	13	1	no	—
967	#442	—	13	1	no	—
968	#442	—	13	1	no	—
969	#442	—	13	1	no	—
970	#442	—	13	1	no	—
971	#440	—	13	1	no	—
972	#440	—	13	1	no	—
973	#440	—	13	1	no	—
974	#440	—	13	1	no	—
975	C₄×Q₁₆	—	13	1	no	—
976	C₄×Q₁₆	—	13	1	no	—
977	C₄×SD₁₆	—	13	1	no	—
978	C₄×SD₁₆	—	13	1	no	—
979	C₄×SD₁₆	—	13	1	no	—
980	C₄×SD₁₆	—	13	1	no	—
981	C₄×SD₁₆	—	13	1	no	—
982	C₄×SD₁₆	—	13	1	no	—
983	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
984	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
985	C₄×D₈	—	13	1	no	—
986	C₄×D₈	—	13	1	no	—
987	C₄×D₈	—	13	1	no	—
988	C₄×D₈	—	13	1	no	—
989	C₄×D₈	—	13	1	no	—
990	C₄×D₈	—	13	1	no	—
991	C₄×D₈	—	13	1	no	—
992	C₄×D₈	—	13	1	no	—
993	C₄×D₈	—	13	1	no	—
994	C₄×D₈	—	13	1	no	—
995	C₄×D₈	—	13	1	no	—
996	C₄×D₈	—	13	1	no	—
997	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic
998	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
999	#428	—	13	1	no	—
1000	#428	—	13	1	no	—
1001	#427	—	13	1	no	—
1002	C₂×#107	—	13	1	no	—
1003	#418	—	13	1	no	—
1004	#418	—	13	1	no	—
1005	#417	—	13	1	no	—
1006	#417	—	13	1	no	—
1007	#416	—	13	1	no	—
1008	#416	—	13	1	no	—
1009	C₂×#102	—	13	1	no	—
1010	C₂×#102	—	13	1	no	—
1011	#405	—	13	1	no	—
1012	#405	—	13	1	no	—
1013	#405	—	13	1	no	—
1014	#405	—	13	1	no	—
1015	#405	—	13	1	no	—
1016	#405	—	13	1	no	—
1017	C₄×M₁₆	—	13	1	no	—
1018	C₄×M₁₆	—	13	1	no	—
1019	C₄×M₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1020	C₂×C₄×C₈	—	13	1	no	—
1021	C₂×C₄×C₈	—	13	1	no	—
1022	C₂×C₄×C₈	—	13	1	no	—
1023	C₂²×C₁₃	—	2	1	no	—
1024	C₂²×C₁₃	—	2	1	no	—
1025	C₂²×C₁₃	—	2	1	no	—
1026	C₂²×C₁₃	—	4	1	no	—
1027	C₂²×C₁₃	—	4	1	no	—
1028	C₂²×C₁₃	—	4	1	no	—
1029	C₂²×C₁₃	—	4	1	no	—
1030	C₂²×C₁₃	—	4	1	no	—
1031	C₂²×C₁₃	—	4	1	no	—
1032	C₂²×C₁₃	—	4	1	no	—
1033	C₂²×C₁₃	—	4	1	no	—
1034	C₂²×C₁₃	—	4	1	no	—
1035	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1036	C₂×D₁₃	—	2	1	no	—
1037	C₂×D₁₃	—	2	1	no	—
1038	C₂×D₁₃	—	2	1	no	—
1039	C₂×D₁₃	—	2	1	no	—
1040	C₂×D₁₃	—	2	1	no	—
1041	C₂×D₁₃	—	4	1	no	—
1042	C₂×D₁₃	—	4	1	no	—
1043	C₂×D₁₃	—	4	1	no	—
1044	C₂×D₁₃	—	4	1	no	—
1045	C₂×D₁₃	—	4	1	no	—
1046	C₂×D₁₃	—	4	1	no	—
1047	C₂×D₁₃	—	4	1	no	—
1048	C₂×D₁₃	—	4	1	no	—
1049	C₂×D₁₃	—	4	1	no	—
1050	C₂×D₁₃	—	8	4	no	—
1051	C₂×D₁₃	—	8	4	no	—
1052	C₂×D₁₃	#532	1	2	yes	—
1053	C₄×C₁₃	—	2	1	no	—
1054	C₄×C₁₃	—	2	1	no	—
1055	C₄×C₁₃	—	2	1	no	—
1056	C₄×C₁₃	—	2	1	no	—
1057	C₄×C₁₃	—	4	1	no	—
1058	C₄×C₁₃	—	4	1	no	—
1059	C₄×C₁₃	—	4	1	no	—
1060	C₄×C₁₃	—	4	1	no	—
1061	C₄×C₁₃	—	4	1	no	—
1062	C₄×C₁₃	#576	1	2	yes	—
1063	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1064	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1065	Dic₁₃	—	2	1	no	—
1066	Dic₁₃	—	2	1	no	—
1067	Dic₁₃	—	2	1	no	—
1068	Dic₁₃	—	2	1	no	—
1069	Dic₁₃	—	2	1	no	—
1070	Dic₁₃	—	4	1	no	—
1071	Dic₁₃	—	4	1	no	—
1072	Dic₁₃	—	4	1	no	—
1073	Dic₁₃	—	4	1	no	—
1074	Dic₁₃	—	4	1	no	—
1075	Dic₁₃	#532	1	2	yes	—
1076	C₂×#41	—	2	1	no	—
1077	C₂×#41	—	13	1	no	—
1078	C₂×#41	—	13	1	no	—
1079	C₂×#41	—	13	1	no	—
1080	C₂×#41	—	26	1	no	—
1081	C₂×#41	—	26	1	no	—
1082	C₂×#41	—	26	1	no	—
1083	C₂²×D₄	—	13	1	no	—
1084	C₂²×D₄	—	13	1	no	—
1085	C₂³×C₄	—	26	1	no	—
1086	C₂³×C₄	—	26	1	no	—
1087	AGL(1,ℤ/8)	—	26	4	no	—
1088	AGL(1,ℤ/8)	—	26	4	no	—
1089	#135	—	26	4	no	—
1090	C₂×Q₁₆	—	13	1	no	—
1091	C₂×SD₁₆	—	13	1	no	—
1092	C₂×SD₁₆	—	13	1	no	—
1093	C₂×SD₁₆	—	13	1	no	—
1094	C₂×SD₁₆	—	13	1	no	—
1095	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1096	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1097	C₂×D₈	—	13	1	no	—
1098	C₂×D₈	—	13	1	no	—
1099	C₂×D₈	—	13	1	no	—
1100	C₂×D₈	—	13	1	no	—
1101	C₂×D₈	—	13	1	no	—
1102	C₂×D₈	—	13	1	no	—
1103	C₂×D₈	—	13	1	no	—
1104	C₂×D₈	—	26	4	no	—
1105	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1106	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1107	#131	—	26	4	no	—
1108	#131	—	26	4	no	—
1109	C₂×M₁₆	—	13	1	no	—
1110	C₂×M₁₆	—	13	1	no	—
1111	C₂×M₁₆	—	13	1	no	—
1112	C₂×M₁₆	—	13	1	no	—
1113	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1114	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1115	C₂²×C₈	—	13	1	no	—
1116	C₂²×C₈	—	13	1	no	—
1117	C₂²×C₈	—	13	1	no	—
1118	C₂²×C₈	—	13	1	no	—
1119	C₂²×C₈	—	13	1	no	—
1120	C₂²×C₈	—	13	1	no	—
1121	C₄⋊Q₈	—	13	1	no	—
1122	C₄⋊Q₈	—	13	1	no	—
1123	C₄⋊Q₈	—	13	1	no	—
1124	C₄⋊Q₈	—	26	1	no	—
1125	C₄⋊Q₈	—	26	1	no	—
1126	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1127	#127	—	13	1	no	—
1128	#127	—	13	1	no	—
1129	#127	—	13	1	no	—
1130	#127	—	26	1	no	—
1131	#127	—	26	1	no	—
1132	#127	C₂²×D₁₃	1	1	yes	characteristic
1133	#126	—	2	1	no	—
1134	#126	—	26	1	no	—
1135	#126	—	26	1	no	—
1136	#126	—	26	1	no	—
1137	#126	—	26	1	no	—
1138	#126	—	26	1	no	—
1139	#126	—	26	1	no	—
1140	#126	—	26	1	no	—
1141	#125	—	13	1	no	—
1142	#125	—	13	1	no	—
1143	#125	—	13	1	no	—
1144	#125	—	26	1	no	—
1145	#125	—	26	1	no	—
1146	#125	C₂²×D₁₃	1	1	yes	characteristic
1147	#124	—	2	1	no	—
1148	#124	—	13	1	no	—
1149	#124	—	13	1	no	—
1150	#124	—	13	1	no	—
1151	#124	—	26	1	no	—
1152	#124	—	26	1	no	—
1153	#124	—	26	1	no	—
1154	#124	—	26	1	no	—
1155	#124	—	26	1	no	—
1156	#124	—	26	1	no	—
1157	#124	—	26	1	no	—
1158	#124	—	26	1	no	—
1159	#124	—	26	1	no	—
1160	#124	C₂²×D₁₃	1	1	yes	characteristic
1161	#123	—	2	1	no	—
1162	#123	—	26	1	no	—
1163	#123	—	26	1	no	—
1164	#123	—	26	1	no	—
1165	#123	—	26	1	no	—
1166	#123	—	26	1	no	—
1167	#123	—	26	1	no	—
1168	#123	—	26	1	no	—
1169	#123	—	26	1	no	—
1170	#123	—	26	1	no	—
1171	#123	—	26	1	no	—
1172	#123	—	26	1	no	—
1173	#123	—	26	1	no	—
1174	#123	—	26	1	no	—
1175	#123	—	26	1	no	—
1176	#123	—	26	1	no	—
1177	C₂²⋊Q₈	—	13	1	no	—
1178	C₂²⋊Q₈	—	13	1	no	—
1179	C₂²⋊Q₈	—	13	1	no	—
1180	C₂²⋊Q₈	—	26	1	no	—
1181	C₂²⋊Q₈	—	26	1	no	—
1182	C₂²⋊Q₈	—	26	1	no	—
1183	C₂²⋊Q₈	—	26	1	no	—
1184	C₂²⋊Q₈	—	26	1	no	—
1185	C₂²⋊Q₈	—	26	1	no	—
1186	C₂²⋊Q₈	—	26	1	no	—
1187	C₂²⋊Q₈	—	26	1	no	—
1188	C₂²⋊Q₈	—	26	1	no	—
1189	C₂²⋊Q₈	—	26	1	no	—
1190	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1191	#121	—	2	1	no	—
1192	#121	—	13	1	no	—
1193	#121	—	13	1	no	—
1194	#121	—	13	1	no	—
1195	#121	—	13	1	no	—
1196	#121	—	13	1	no	—
1197	#121	—	13	1	no	—
1198	#121	—	13	1	no	—
1199	#121	—	13	1	no	—
1200	#121	—	13	1	no	—
1201	#121	—	26	1	no	—
1202	#121	—	26	1	no	—
1203	#121	—	26	1	no	—
1204	#121	—	26	1	no	—
1205	#121	—	26	1	no	—
1206	#121	—	26	1	no	—
1207	#121	—	26	1	no	—
1208	#121	—	26	1	no	—
1209	#121	—	26	1	no	—
1210	#121	—	26	1	no	—
1211	#121	—	26	1	no	—
1212	#121	—	26	1	no	—
1213	#121	—	26	1	no	—
1214	#121	—	26	1	no	—
1215	#121	—	26	1	no	—
1216	#121	—	26	1	no	—
1217	#121	—	26	1	no	—
1218	#121	—	26	1	no	—
1219	#121	—	26	1	no	—
1220	#121	—	26	1	no	—
1221	#121	—	26	1	no	—
1222	#121	C₂²×D₁₃	1	1	yes	characteristic
1223	#121	C₂²×D₁₃	1	1	yes	characteristic
1224	#121	C₂²×D₁₃	1	1	yes	characteristic
1225	#120	—	26	1	no	—
1226	#120	—	26	1	no	—
1227	#120	—	26	1	no	—
1228	#120	—	26	1	no	—
1229	#120	—	26	1	no	—
1230	#120	—	26	1	no	—
1231	#120	—	26	1	no	—
1232	#120	—	26	1	no	—
1233	C₄×Q₈	—	13	1	no	—
1234	C₄×Q₈	—	13	1	no	—
1235	C₄×Q₈	—	13	1	no	—
1236	C₄×Q₈	—	13	1	no	—
1237	C₄×Q₈	—	13	1	no	—
1238	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1239	C₄×D₄	—	2	1	no	—
1240	C₄×D₄	—	2	1	no	—
1241	C₄×D₄	—	13	1	no	—
1242	C₄×D₄	—	13	1	no	—
1243	C₄×D₄	—	13	1	no	—
1244	C₄×D₄	—	13	1	no	—
1245	C₄×D₄	—	13	1	no	—
1246	C₄×D₄	—	13	1	no	—
1247	C₄×D₄	—	13	1	no	—
1248	C₄×D₄	—	13	1	no	—
1249	C₄×D₄	—	13	1	no	—
1250	C₄×D₄	—	13	1	no	—
1251	C₄×D₄	—	13	1	no	—
1252	C₄×D₄	—	13	1	no	—
1253	C₄×D₄	—	13	1	no	—
1254	C₄×D₄	—	13	1	no	—
1255	C₄×D₄	—	13	1	no	—
1256	C₄×D₄	—	26	1	no	—
1257	C₄×D₄	—	26	1	no	—
1258	C₄×D₄	—	26	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	—	26	1	no	—
1270	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1271	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1272	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1273	#117	—	2	1	no	—
1274	#117	—	13	1	no	—
1275	#117	—	13	1	no	—
1276	#117	—	13	1	no	—
1277	#117	—	13	1	no	—
1278	#117	—	13	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	C₂×C₄⋊C₄	—	13	1	no	—
1285	C₂×C₄⋊C₄	—	13	1	no	—
1286	C₂×C₂²⋊C₄	—	26	1	no	—
1287	C₂×C₂²⋊C₄	—	26	1	no	—
1288	C₂×C₄²	—	13	1	no	—
1289	C₂×C₄²	—	13	1	no	—
1290	C₂×C₄²	—	26	1	no	—
1291	C₂×C₄²	—	26	1	no	—
1292	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1293	#107	—	13	1	no	—
1294	#107	—	13	1	no	—
1295	#107	—	13	1	no	—
1296	#107	—	13	1	no	—
1297	#107	—	13	1	no	—
1298	#107	—	13	1	no	—
1299	#107	—	13	1	no	—
1300	#107	—	13	1	no	—
1301	#107	C₂²×D₁₃	1	1	yes	characteristic
1302	#107	C₂²×D₁₃	1	1	yes	characteristic
1303	#106	—	13	1	no	—
1304	#106	—	13	1	no	—
1305	#106	—	13	1	no	—
1306	#106	—	13	1	no	—
1307	#106	C₂²×D₁₃	1	1	yes	characteristic
1308	#106	C₂²×D₁₃	1	1	yes	characteristic
1309	#103	—	13	1	no	—
1310	#103	—	13	1	no	—
1311	#103	—	13	1	no	—
1312	#103	—	13	1	no	—
1313	#103	—	13	1	no	—
1314	#103	—	13	1	no	—
1315	#103	C₂²×D₁₃	1	1	yes	characteristic
1316	#103	C₂²×D₁₃	1	1	yes	characteristic
1317	#102	—	13	1	no	—
1318	#102	—	13	1	no	—
1319	#102	—	13	1	no	—
1320	#102	—	13	1	no	—
1321	#102	—	13	1	no	—
1322	#102	—	13	1	no	—
1323	#102	—	13	1	no	—
1324	#102	—	13	1	no	—
1325	#102	—	13	1	no	—
1326	#102	—	13	1	no	—
1327	#102	—	13	1	no	—
1328	#102	—	13	1	no	—
1329	#102	—	13	1	no	—
1330	#102	—	13	1	no	—
1331	#102	—	13	1	no	—
1332	#102	—	13	1	no	—
1333	#102	—	13	1	no	—
1334	#102	—	13	1	no	—
1335	#102	C₂²×D₁₃	1	1	yes	characteristic
1336	#102	C₂²×D₁₃	1	1	yes	characteristic
1337	#102	C₂²×D₁₃	1	1	yes	characteristic
1338	#102	C₂²×D₁₃	1	1	yes	characteristic
1339	#102	C₂²×D₁₃	1	1	yes	characteristic
1340	#102	C₂²×D₁₃	1	1	yes	characteristic
1341	#97	—	13	1	no	—
1342	#97	—	13	1	no	—
1343	#97	—	13	1	no	—
1344	#97	—	13	1	no	—
1345	#97	C₂²×D₁₃	1	1	yes	characteristic
1346	#97	C₂²×D₁₃	1	1	yes	characteristic
1347	C₄×C₈	—	13	1	no	—
1348	C₄×C₈	—	13	1	no	—
1349	C₄×C₈	—	13	1	no	—
1350	C₄×C₈	—	13	1	no	—
1351	C₄×C₈	—	13	1	no	—
1352	C₄×C₈	—	13	1	no	—
1353	C₄×C₈	—	13	1	no	—
1354	C₄×C₈	—	13	1	no	—
1355	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1356	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1357	C₂×C₁₃	—	4	1	no	—
1358	C₂×C₁₃	—	8	1	no	—
1359	C₂×C₁₃	—	8	1	no	—
1360	C₂×C₁₃	—	8	1	no	—
1361	C₂×C₁₃	C₂×#532	1	1	yes	characteristic
1362	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1363	C₂×C₁₃	#3584	1	1	yes	characteristic
1364	D₁₃	—	2	2	no	—
1365	D₁₃	—	4	1	no	—
1366	D₁₃	—	8	1	no	—
1367	D₁₃	—	8	1	no	—
1368	D₁₃	—	8	1	no	—
1369	C₂⁴	—	26	1	no	—
1370	C₂⁴	—	26	1	no	—
1371	#41	—	8	2	no	—
1372	#41	—	26	2	no	—
1373	#41	—	26	2	no	—
1374	#41	—	26	2	no	—
1375	#41	—	26	2	no	—
1376	#41	—	26	2	no	—
1377	#41	—	26	2	no	—
1378	#41	—	104	2	no	—
1379	#41	—	104	2	no	—
1380	#41	—	104	2	no	—
1381	C₂×Q₈	—	2	1	no	—
1382	C₂×Q₈	—	13	1	no	—
1383	C₂×Q₈	—	13	1	no	—
1384	C₂×Q₈	—	26	1	no	—
1385	C₂×Q₈	—	26	1	no	—
1386	C₂×Q₈	—	26	1	no	—
1387	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1388	C₂×D₄	—	2	1	no	—
1389	C₂×D₄	—	2	1	no	—
1390	C₂×D₄	—	2	1	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	13	1	no	—
1394	C₂×D₄	—	13	1	no	—
1395	C₂×D₄	—	13	1	no	—
1396	C₂×D₄	—	13	1	no	—
1397	C₂×D₄	—	13	1	no	—
1398	C₂×D₄	—	13	1	no	—
1399	C₂×D₄	—	26	1	no	—
1400	C₂×D₄	—	26	1	no	—
1401	C₂×D₄	—	26	1	no	—
1402	C₂×D₄	—	26	1	no	—
1403	C₂×D₄	—	26	2	no	—
1404	C₂×D₄	—	26	2	no	—
1405	C₂×D₄	—	26	2	no	—
1406	C₂×D₄	—	26	2	no	—
1407	C₂×D₄	—	26	1	no	—
1408	C₂×D₄	—	26	1	no	—
1409	C₂×D₄	—	26	1	no	—
1410	C₂×D₄	—	26	1	no	—
1411	C₂×D₄	—	26	1	no	—
1412	C₂×D₄	—	26	1	no	—
1413	C₂×D₄	—	26	1	no	—
1414	C₂×D₄	—	26	1	no	—
1415	C₂×D₄	—	26	1	no	—
1416	C₂×D₄	—	26	1	no	—
1417	C₂×D₄	—	26	1	no	—
1418	C₂×D₄	—	26	1	no	—
1419	C₂×D₄	—	26	1	no	—
1420	C₂×D₄	—	26	1	no	—
1421	C₂×D₄	—	26	1	no	—
1422	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1423	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1424	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1425	C₂²×C₄	—	2	1	no	—
1426	C₂²×C₄	—	2	1	no	—
1427	C₂²×C₄	—	2	1	no	—
1428	C₂²×C₄	—	13	1	no	—
1429	C₂²×C₄	—	13	1	no	—
1430	C₂²×C₄	—	13	1	no	—
1431	C₂²×C₄	—	13	1	no	—
1432	C₂²×C₄	—	13	1	no	—
1433	C₂²×C₄	—	13	1	no	—
1434	C₂²×C₄	—	26	1	no	—
1435	C₂²×C₄	—	26	1	no	—
1436	C₂²×C₄	—	26	1	no	—
1437	C₂²×C₄	—	26	1	no	—
1438	C₂²×C₄	—	26	1	no	—
1439	C₂²×C₄	—	26	1	no	—
1440	C₂²×C₄	—	26	1	no	—
1441	C₂²×C₄	—	26	1	no	—
1442	C₂²×C₄	—	26	1	no	—
1443	C₂²×C₄	—	26	1	no	—
1444	C₂²×C₄	—	26	1	no	—
1445	C₂²×C₄	—	26	1	no	—
1446	C₂²×C₄	—	26	1	no	—
1447	C₂²×C₄	—	104	2	no	—
1448	C₂²×C₄	—	104	2	no	—
1449	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1450	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1451	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1452	Q₁₆	—	26	2	no	—
1453	SD₁₆	—	2	2	no	—
1454	SD₁₆	—	2	2	no	—
1455	SD₁₆	—	26	2	no	—
1456	SD₁₆	—	26	2	no	—
1457	SD₁₆	—	26	2	no	—
1458	SD₁₆	—	26	2	no	—
1459	D₈	—	2	2	no	—
1460	D₈	—	2	2	no	—
1461	D₈	—	26	2	no	—
1462	D₈	—	26	2	no	—
1463	D₈	—	26	2	no	—
1464	D₈	—	26	2	no	—
1465	D₈	—	26	2	no	—
1466	D₈	—	26	2	no	—
1467	D₈	—	26	2	no	—
1468	M₁₆	—	2	2	no	—
1469	M₁₆	—	2	2	no	—
1470	M₁₆	—	13	4	no	—
1471	M₁₆	—	26	2	no	—
1472	M₁₆	—	26	2	no	—
1473	M₁₆	—	26	2	no	—
1474	C₂×C₈	—	13	1	no	—
1475	C₂×C₈	—	13	1	no	—
1476	C₂×C₈	—	13	4	no	—
1477	C₂×C₈	—	13	1	no	—
1478	C₂×C₈	—	13	1	no	—
1479	C₂×C₈	—	26	2	no	—
1480	C₂×C₈	—	26	2	no	—
1481	C₂×C₈	—	26	2	no	—
1482	C₂×C₈	—	26	2	no	—
1483	C₂×C₈	—	26	2	no	—
1484	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1485	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1486	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1487	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	13	1	no	—
1494	C₄⋊C₄	—	13	1	no	—
1495	C₄⋊C₄	—	13	1	no	—
1496	C₄⋊C₄	—	13	1	no	—
1497	C₄⋊C₄	—	13	1	no	—
1498	C₄⋊C₄	—	13	1	no	—
1499	C₄⋊C₄	—	13	1	no	—
1500	C₄⋊C₄	—	13	1	no	—
1501	C₄⋊C₄	—	13	1	no	—
1502	C₄⋊C₄	—	13	1	no	—
1503	C₄⋊C₄	—	26	1	no	—
1504	C₄⋊C₄	—	26	1	no	—
1505	C₄⋊C₄	—	26	1	no	—
1506	C₄⋊C₄	—	26	1	no	—
1507	C₄⋊C₄	—	26	1	no	—
1508	C₄⋊C₄	—	26	1	no	—
1509	C₄⋊C₄	—	26	1	no	—
1510	C₄⋊C₄	—	26	1	no	—
1511	C₄⋊C₄	—	26	1	no	—
1512	C₄⋊C₄	—	26	1	no	—
1513	C₄⋊C₄	—	26	1	no	—
1514	C₄⋊C₄	—	26	1	no	—
1515	C₄⋊C₄	—	26	1	no	—
1516	C₄⋊C₄	—	26	1	no	—
1517	C₄⋊C₄	—	26	1	no	—
1518	C₄⋊C₄	—	26	1	no	—
1519	C₄⋊C₄	—	26	1	no	—
1520	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1521	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1522	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1523	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	13	1	no	—
1534	C₂²⋊C₄	—	13	1	no	—
1535	C₂²⋊C₄	—	13	1	no	—
1536	C₂²⋊C₄	—	13	1	no	—
1537	C₂²⋊C₄	—	13	1	no	—
1538	C₂²⋊C₄	—	13	1	no	—
1539	C₂²⋊C₄	—	26	1	no	—
1540	C₂²⋊C₄	—	26	1	no	—
1541	C₂²⋊C₄	—	26	1	no	—
1542	C₂²⋊C₄	—	26	1	no	—
1543	C₂²⋊C₄	—	26	1	no	—
1544	C₂²⋊C₄	—	26	1	no	—
1545	C₂²⋊C₄	—	26	1	no	—
1546	C₂²⋊C₄	—	26	1	no	—
1547	C₂²⋊C₄	—	26	1	no	—
1548	C₂²⋊C₄	—	26	1	no	—
1549	C₂²⋊C₄	—	26	1	no	—
1550	C₂²⋊C₄	—	26	1	no	—
1551	C₂²⋊C₄	—	26	1	no	—
1552	C₂²⋊C₄	—	26	1	no	—
1553	C₂²⋊C₄	—	26	1	no	—
1554	C₂²⋊C₄	—	26	1	no	—
1555	C₂²⋊C₄	—	26	1	no	—
1556	C₂²⋊C₄	—	26	1	no	—
1557	C₂²⋊C₄	—	26	1	no	—
1558	C₂²⋊C₄	—	26	1	no	—
1559	C₂²⋊C₄	—	26	1	no	—
1560	C₂²⋊C₄	—	26	1	no	—
1561	C₂²⋊C₄	—	26	1	no	—
1562	C₂²⋊C₄	—	26	1	no	—
1563	C₂²⋊C₄	—	26	1	no	—
1564	C₂²⋊C₄	—	26	1	no	—
1565	C₂²⋊C₄	—	26	1	no	—
1566	C₂²⋊C₄	—	26	1	no	—
1567	C₂²⋊C₄	—	26	1	no	—
1568	C₄²	—	2	1	no	—
1569	C₄²	—	13	1	no	—
1570	C₄²	—	13	1	no	—
1571	C₄²	—	13	1	no	—
1572	C₄²	—	13	1	no	—
1573	C₄²	—	13	1	no	—
1574	C₄²	—	13	1	no	—
1575	C₄²	—	26	1	no	—
1576	C₄²	—	26	1	no	—
1577	C₄²	—	26	1	no	—
1578	C₄²	—	26	1	no	—
1579	C₄²	—	26	1	no	—
1580	C₄²	D₄×D₁₃	1	1	yes	characteristic
1581	C₄²	D₄×D₁₃	1	1	yes	characteristic
1582	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1583	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1584	C₁₃	#60695	1	1	yes	characteristic, complemented, Sylow
1585	C₂³	—	2	1	no	—
1586	C₂³	—	2	1	no	—
1587	C₂³	—	2	1	no	—
1588	C₂³	—	13	1	no	—
1589	C₂³	—	13	1	no	—
1590	C₂³	—	26	1	no	—
1591	C₂³	—	26	1	no	—
1592	C₂³	—	26	1	no	—
1593	C₂³	—	52	2	no	—
1594	C₂³	—	52	2	no	—
1595	C₂³	—	104	1	no	—
1596	C₂³	—	104	1	no	—
1597	C₂³	—	104	1	no	—
1598	C₂³	—	104	1	no	—
1599	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1600	Q₈	—	2	1	no	—
1601	Q₈	—	2	1	no	—
1602	Q₈	—	8	1	no	—
1603	Q₈	—	26	2	no	—
1604	Q₈	—	26	1	no	—
1605	Q₈	—	26	1	no	—
1606	Q₈	—	104	1	no	—
1607	Q₈	—	104	1	no	—
1608	Q₈	—	104	1	no	—
1609	D₄	—	2	1	no	—
1610	D₄	—	2	1	no	—
1611	D₄	—	2	1	no	—
1612	D₄	—	2	1	no	—
1613	D₄	—	2	1	no	—
1614	D₄	—	2	1	no	—
1615	D₄	—	8	1	no	—
1616	D₄	—	8	1	no	—
1617	D₄	—	8	1	no	—
1618	D₄	—	8	1	no	—
1619	D₄	—	8	1	no	—
1620	D₄	—	26	2	no	—
1621	D₄	—	26	2	no	—
1622	D₄	—	26	2	no	—
1623	D₄	—	26	1	no	—
1624	D₄	—	26	1	no	—
1625	D₄	—	26	1	no	—
1626	D₄	—	26	1	no	—
1627	D₄	—	26	1	no	—
1628	D₄	—	26	1	no	—
1629	D₄	—	52	2	no	—
1630	D₄	—	52	2	no	—
1631	D₄	—	52	2	no	—
1632	D₄	—	52	2	no	—
1633	D₄	—	104	1	no	—
1634	D₄	—	104	1	no	—
1635	D₄	—	104	1	no	—
1636	D₄	—	104	1	no	—
1637	D₄	—	104	1	no	—
1638	D₄	—	104	1	no	—
1639	D₄	—	104	1	no	—
1640	D₄	—	104	1	no	—
1641	D₄	—	104	1	no	—
1642	D₄	—	104	1	no	—
1643	D₄	—	104	1	no	—
1644	D₄	—	104	1	no	—
1645	D₄	—	104	1	no	—
1646	D₄	—	104	1	no	—
1647	D₄	—	104	1	no	—
1648	C₂×C₄	—	2	2	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	4	1	no	—
1657	C₂×C₄	—	4	2	no	—
1658	C₂×C₄	—	4	2	no	—
1659	C₂×C₄	—	4	2	no	—
1660	C₂×C₄	—	13	1	no	—
1661	C₂×C₄	—	13	2	no	—
1662	C₂×C₄	—	13	2	no	—
1663	C₂×C₄	—	13	1	no	—
1664	C₂×C₄	—	13	1	no	—
1665	C₂×C₄	—	13	1	no	—
1666	C₂×C₄	—	13	1	no	—
1667	C₂×C₄	—	13	1	no	—
1668	C₂×C₄	—	26	2	no	—
1669	C₂×C₄	—	26	2	no	—
1670	C₂×C₄	—	26	1	no	—
1671	C₂×C₄	—	26	1	no	—
1672	C₂×C₄	—	26	1	no	—
1673	C₂×C₄	—	26	1	no	—
1674	C₂×C₄	—	26	1	no	—
1675	C₂×C₄	—	26	1	no	—
1676	C₂×C₄	—	26	1	no	—
1677	C₂×C₄	—	52	1	no	—
1678	C₂×C₄	—	52	1	no	—
1679	C₂×C₄	—	52	2	no	—
1680	C₂×C₄	—	52	2	no	—
1681	C₂×C₄	—	52	2	no	—
1682	C₂×C₄	—	52	2	no	—
1683	C₂×C₄	—	52	2	no	—
1684	C₂×C₄	—	104	1	no	—
1685	C₂×C₄	—	104	1	no	—
1686	C₂×C₄	—	104	1	no	—
1687	C₂×C₄	—	104	1	no	—
1688	C₂×C₄	—	104	1	no	—
1689	C₂×C₄	—	104	1	no	—
1690	C₂×C₄	—	104	1	no	—
1691	C₂×C₄	—	104	1	no	—
1692	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1693	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1694	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1695	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1696	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1697	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1698	C₈	—	2	1	no	—
1699	C₈	—	2	1	no	—
1700	C₈	—	13	2	no	—
1701	C₈	—	13	2	no	—
1702	C₈	—	26	1	no	—
1703	C₈	—	26	1	no	—
1704	C₈	#41×D₁₃	1	2	yes	—
1705	C₈	#41×D₁₃	1	2	yes	—
1706	C₂²	—	2	1	no	—
1707	C₂²	—	2	1	no	—
1708	C₂²	—	2	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	4	1	no	—
1711	C₂²	—	4	1	no	—
1712	C₂²	—	4	1	no	—
1713	C₂²	—	4	1	no	—
1714	C₂²	—	4	1	no	—
1715	C₂²	—	4	1	no	—
1716	C₂²	—	4	1	no	—
1717	C₂²	—	4	1	no	—
1718	C₂²	—	13	2	no	—
1719	C₂²	—	26	1	no	—
1720	C₂²	—	26	1	no	—
1721	C₂²	—	26	1	no	—
1722	C₂²	—	26	1	no	—
1723	C₂²	—	26	1	no	—
1724	C₂²	—	52	1	no	—
1725	C₂²	—	52	1	no	—
1726	C₂²	—	52	1	no	—
1727	C₂²	—	52	1	no	—
1728	C₂²	—	52	1	no	—
1729	C₂²	—	52	1	no	—
1730	C₂²	—	52	1	no	—
1731	C₂²	—	52	1	no	—
1732	C₂²	—	52	1	no	—
1733	C₂²	—	104	4	no	—
1734	C₂²	—	104	4	no	—
1735	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1736	C₄	—	2	1	no	—
1737	C₄	—	2	1	no	—
1738	C₄	—	2	1	no	—
1739	C₄	—	2	1	no	—
1740	C₄	—	4	1	no	—
1741	C₄	—	4	1	no	—
1742	C₄	—	4	1	no	—
1743	C₄	—	4	1	no	—
1744	C₄	—	4	1	no	—
1745	C₄	—	13	2	no	—
1746	C₄	—	26	1	no	—
1747	C₄	—	26	1	no	—
1748	C₄	—	26	1	no	—
1749	C₄	—	26	1	no	—
1750	C₄	—	26	1	no	—
1751	C₄	—	52	1	no	—
1752	C₄	—	52	1	no	—
1753	C₄	—	52	1	no	—
1754	C₄	—	52	1	no	—
1755	C₄	—	52	1	no	—
1756	C₄	#11719479	1	2	yes	—
1757	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1758	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1759	C₂	—	4	1	no	—
1760	C₂	—	8	1	no	—
1761	C₂	—	8	1	no	—
1762	C₂	—	8	1	no	—
1763	C₂	—	26	2	no	—
1764	C₂	—	52	1	no	—
1765	C₂	—	104	1	no	—
1766	C₂	—	104	1	no	—
1767	C₂	—	104	1	no	—
1768	C₂	D₁₃×#532	1	1	yes	characteristic
1769	C₂	C₂×#11719479	1	1	yes	characteristic
1770	C₂	#13129609	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3171	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3171	D₁₃
hypocenter	C₁₃	#60695
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3171

Complements

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

N	H ≅ G/N	type
1. #13128257	C₂	semidirect
2. #13128250	C₂	semidirect
3. #13125524	C₂	semidirect
4. #13125520	C₂	semidirect
5. #13125516	C₂	semidirect
6. #13125512	C₂	semidirect
7. #13125485	C₂	semidirect
8. #13125481	C₂	semidirect
9. #13125474	C₂	semidirect
10. #13125470	C₂	semidirect
11. #13125431	C₂	semidirect
12. #13125429	C₂	semidirect
13. #13125427	C₂	semidirect
14. #13125412	C₂	semidirect
15. #13125411	C₂	semidirect
16. #13125402	C₂	semidirect
17. #13125400	C₂	semidirect
18. #13125371	C₂	semidirect
19. #13125320	C₂	semidirect
20. #13125191	C₂	semidirect
21. #13125187	C₂	semidirect
22. #13124513	C₂	semidirect
23. #13124511	C₂	semidirect
24. #13124504	C₂	semidirect
25. #13124482	C₂	semidirect
26. C₄×#88168	C₂	semidirect
27. C₄×#88165	C₂	semidirect
28. C₄×#88170	C₂	semidirect
29. C₄×D₈×D₁₃	C₂	semidirect
30. C₄×#88161	C₂	semidirect
31. C₁₃×#3171	C₂	semidirect
32. C₁₃×#532	C₂²	semidirect
33. C₁₃×#529	C₂²	semidirect
42. #11719438	C₂²	semidirect
44. #11719424	C₂²	semidirect
48. #11719403	C₂²	semidirect
50. #11719387	C₂²	semidirect
56. #11719348	C₂²	semidirect
58. #11719324	C₂²	semidirect
59. #11719324	C₂²	semidirect
65. #11719308	C₂²	semidirect
66. #11719285	C₂²	semidirect
68. #11719262	C₂²	semidirect
70. #11719253	C₂²	semidirect
71. #11719253	C₂²	semidirect
80. #11719184	C₂²	semidirect
81. #11719182	C₂²	semidirect
83. C₁₃×#501	C₂²	semidirect
85. C₁₃×#490	C₂²	semidirect
86. C₁₃×#489	C₂²	semidirect
88. C₁₃×#469	C₂²	semidirect
89. C₁₃×#468	C₂²	semidirect
90. C₁₃×#468	C₂²	semidirect
91. C₄×C₁₃×SD₁₆	C₂²	semidirect
92. C₄×C₁₃×SD₁₆	C₂²	semidirect
94. C₄×C₁₃×D₈	C₂²	semidirect
95. C₄×C₁₃×M₁₆	C₂²	semidirect
97. #11718835	C₂²	semidirect
98. #11718832	C₂²	semidirect
100. #11718825	C₂²	semidirect
101. SD₁₆×Dic₁₃	C₂²	semidirect
103. #11718818	C₂²	semidirect
105. #11718813	C₂²	semidirect
109. #11718796	C₂²	semidirect
110. #11718795	C₂²	semidirect
111. #11718795	C₂²	semidirect
112. #11718783	C₂²	semidirect
113. #11718783	C₂²	semidirect
114. #11718749	C₂²	semidirect
115. #11718739	C₂²	semidirect
117. #11718731	C₂²	semidirect
118. #11718729	C₂²	semidirect
119. #11718725	C₂²	semidirect
121. #11718717	C₂²	semidirect
122. #11718712	C₂²	semidirect
123. #11718709	C₂²	semidirect
124. #11718702	C₂²	semidirect
127. #11718699	C₂²	semidirect
128. #11718699	C₂²	semidirect
129. #11718699	C₂²	semidirect
130. C₄×#6107	C₂²	semidirect
131. C₄×#6106	C₂²	semidirect
132. C₄×#6105	C₂²	semidirect
135. C₄×#6104	C₂²	semidirect
136. C₄×#6104	C₂²	semidirect
137. C₄×#6104	C₂²	semidirect
138. C₂×C₄×#1055	C₂²	semidirect
139. #11718550	C₂²	semidirect
140. #11718547	C₂²	semidirect
141. #11718544	C₂²	semidirect
144. #11718537	C₂²	semidirect
145. #11718535	C₂²	semidirect
147. #11718530	C₂²	semidirect
149. #11718525	C₂²	semidirect
152. #11718519	C₂²	semidirect
153. #11718517	C₂²	semidirect
154. #11718513	C₂²	semidirect
155. #11718478	C₂²	semidirect
156. #11718474	C₂²	semidirect
157. #11718473	C₂²	semidirect
160. #11718461	C₂²	semidirect
161. #11718456	C₂²	semidirect
162. #11718451	C₂²	semidirect
163. #11718446	C₂²	semidirect
164. #11718446	C₂²	semidirect
165. #11718443	C₂²	semidirect
166. #11718443	C₂²	semidirect
167. #11718441	C₂²	semidirect
170. #11718436	C₂²	semidirect
177. #11718429	C₂²	semidirect
178. #11718426	C₂²	semidirect
179. #11718425	C₂²	semidirect
180. #11718425	C₂²	semidirect
181. #11718421	C₂²	semidirect
182. #11718421	C₂²	semidirect
183. #11718418	C₂²	semidirect
186. #11718417	C₂²	semidirect
187. #11718375	C₂²	semidirect
188. #11718374	C₂²	semidirect
192. #11718369	C₂²	semidirect
193. #11718369	C₂²	semidirect
194. #11718363	C₂²	semidirect
196. C₄×D₁₀₄	C₂²	semidirect
197. C₄×#6095	C₂²	semidirect
198. C₄×#6095	C₂²	semidirect
200. C₄×#6094	C₂²	semidirect
202. C₄×C₈×D₁₃	C₂²	semidirect
695. #6094	#41	semidirect
699. C₈×D₁₃	#41	semidirect
713. #3171	D₁₃	semidirect
887. #532	C₂×D₁₃	semidirect
893. #529	C₂×D₁₃	semidirect
906. #501	C₂×D₁₃	semidirect
922. #490	C₂×D₁₃	semidirect
926. #489	C₂×D₁₃	semidirect
942. #469	C₂×D₁₃	semidirect
949. #468	C₂×D₁₃	semidirect
950. #468	C₂×D₁₃	semidirect
983. C₄×SD₁₆	C₂×D₁₃	semidirect
984. C₄×SD₁₆	C₂×D₁₃	semidirect
998. C₄×D₈	C₂×D₁₃	semidirect
1019. C₄×M₁₆	C₂×D₁₃	semidirect
1584. C₁₃	#60695	semidirect

Maximal subgroups

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

subgroup	index
#13128257	2
#13128250	2
#13125524	2
#13125520	2
#13125516	2
#13125512	2
#13125485	2
#13125481	2
#13125474	2
#13125470	2
#13125431	2
#13125429	2
#13125427	2
#13125412	2
#13125411	2
#13125402	2
#13125400	2
#13125371	2
#13125320	2
#13125191	2
#13125187	2
#13124513	2
#13124511	2
#13124504	2
#13124482	2
C₄×#88168	2
C₄×#88165	2
C₄×#88170	2
C₄×D₈×D₁₃	2
C₄×#88161	2
C₁₃×#3171	2
#60695	13