Subgroups — C₁₃×#61923 #15748262

Order 3328.

1696 conjugacy classes of subgroups.

The subgroup lattice has 1112 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3509	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3401	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3400	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3400	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3394	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3392	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3376	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3374	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3372	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3364	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3359	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3225	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3221	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3218	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3206	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3126	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3121	C₂	1	2	yes	maximal, complemented
21	C₁₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2985	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#562	—	2	2	no	—
25	C₁₃×#559	C₂²	1	1	yes	characteristic
26	C₁₃×#559	C₂²	1	2	yes	—
27	C₁₃×#557	C₂²	1	1	yes	characteristic
28	C₁₃×#557	C₂²	1	2	yes	—
29	C₁₃×#557	C₂²	1	1	yes	characteristic
30	C₁₃×#557	C₂²	1	1	yes	characteristic
31	C₁₃×#556	C₂²	1	1	yes	characteristic
32	C₁₃×#556	C₂²	1	1	yes	characteristic
33	C₁₃×#556	C₂²	1	2	yes	—
34	C₁₃×#554	C₂²	1	2	yes	—
35	C₁₃×#552	—	2	1	no	—
36	C₁₃×#552	—	2	1	no	—
37	C₁₃×#552	—	2	2	no	—
38	C₁₃×#550	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
40	C₁₃×#548	—	2	1	no	—
41	C₁₃×#547	—	2	1	no	—
42	C₁₃×#542	—	2	1	no	—
43	C₁₃×#542	C₂²	1	2	yes	—
44	C₁₃×#541	—	2	2	no	—
45	C₁₃×#540	C₂²	1	2	yes	—
46	C₁₃×#539	—	2	2	no	—
47	C₁₃×#536	—	2	1	no	—
48	C₁₃×#536	C₂²	1	2	yes	—
49	C₁₃×#533	—	2	1	no	—
50	C₁₃×#533	—	2	1	no	—
51	C₁₃×#533	C₂²	1	1	yes	characteristic
52	C₁₃×#532	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
54	C₁₃×#529	C₂²	1	1	yes	characteristic
55	C₁₃×#519	C₂²	1	2	yes	—
56	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
57	C₁₃×#497	C₂²	1	2	yes	—
58	C₁₃×#497	C₂²	1	2	yes	—
59	C₁₃×#496	C₂²	1	2	yes	—
60	C₁₃×#495	C₂²	1	2	yes	—
61	C₁₃×#492	C₂²	1	1	yes	characteristic
62	C₁₃×#492	C₂²	1	2	yes	—
63	C₁₃×#492	C₂²	1	1	yes	characteristic
64	C₁₃×#491	C₂²	1	2	yes	—
65	C₁₃×#491	C₂²	1	2	yes	—
66	C₁₃×#489	C₂²	1	2	yes	—
67	C₁₃×#488	C₂²	1	2	yes	—
68	C₁₃×#487	C₂²	1	1	yes	characteristic
69	C₁₃×#487	C₂²	1	2	yes	—
70	C₁₃×#487	C₂²	1	1	yes	characteristic
71	C₁₃×#485	C₂²	1	1	yes	characteristic
72	C₁₃×#482	C₂²	1	1	yes	characteristic
73	C₁₃×#482	C₂²	1	2	yes	—
74	C₁₃×#479	C₂²	1	1	yes	characteristic
75	C₁₃×#479	C₂²	1	2	yes	—
76	C₁₃×#479	C₂²	1	2	yes	—
77	C₁₃×#478	C₂²	1	1	yes	characteristic
78	C₁₃×#477	C₂²	1	2	yes	—
79	C₁₃×#475	C₂²	1	1	yes	characteristic
80	C₁₃×#475	C₂²	1	2	yes	—
81	C₁₃×#474	C₂²	1	1	yes	characteristic
82	C₁₃×#464	C₂²	1	1	yes	characteristic
83	C₁₃×#464	C₂²	1	2	yes	—
84	C₁₃×#464	C₂²	1	2	yes	—
85	C₁₃×#464	C₂²	1	2	yes	—
86	C₁₃×#463	C₂²	1	1	yes	characteristic
87	C₁₃×#463	C₂²	1	2	yes	—
88	C₁₃×#463	C₂²	1	2	yes	—
89	C₁₃×#463	C₂²	1	2	yes	—
90	C₁₃×#462	C₂²	1	1	yes	characteristic
91	C₁₃×#462	C₂²	1	1	yes	characteristic
92	C₁₃×#462	C₂²	1	2	yes	—
93	C₁₃×#461	C₂²	1	1	yes	characteristic
94	C₁₃×#461	C₂²	1	2	yes	—
95	C₁₃×#461	C₂²	1	1	yes	characteristic
96	C₁₃×#461	C₂²	1	2	yes	—
97	C₁₃×#461	C₂²	1	2	yes	—
98	C₁₃×#461	C₂²	1	2	yes	—
99	C₁₃×#461	C₂²	1	2	yes	—
100	C₁₃×#460	C₂²	1	1	yes	characteristic
101	C₁₃×#460	C₂²	1	2	yes	—
102	C₁₃×#460	C₂²	1	2	yes	—
103	C₁₃×#459	C₂²	1	1	yes	characteristic
104	C₁₃×#452	C₂²	1	1	yes	characteristic
105	C₁₃×#451	C₂²	1	2	yes	—
106	C₁₃×#449	C₂²	1	1	yes	characteristic
107	C₁₃×#449	C₂²	1	2	yes	—
108	C₁₃×#448	C₂²	1	2	yes	—
109	C₁₃×#448	C₂²	1	2	yes	—
110	C₁₃×#448	C₂²	1	2	yes	—
111	C₁₃×#446	C₂²	1	1	yes	characteristic
112	C₁₃×#446	C₂²	1	2	yes	—
113	C₁₃×#446	C₂²	1	1	yes	characteristic
114	C₁₃×#446	C₂²	1	2	yes	—
115	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
116	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
117	C₁₃×#442	C₂²	1	2	yes	—
118	C₁₃×#441	C₂²	1	2	yes	—
119	C₁₃×#440	C₂²	1	2	yes	—
120	C₁₃×#440	C₂²	1	2	yes	—
121	C₁₃×#440	C₂²	1	2	yes	—
122	C₁₃×#440	C₂²	1	2	yes	—
123	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
124	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
125	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
126	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
127	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
128	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
129	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
130	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
131	C₁₃×#433	C₂²	1	2	yes	—
132	C₁₃×#433	C₂²	1	2	yes	—
133	C₁₃×#432	C₂²	1	1	yes	characteristic
134	C₁₃×#431	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₁₃	—	2	1	no	—
139	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
140	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
141	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
142	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
143	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
144	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×D₈	C₂³	1	2	yes	—
154	C₁₃×C₄⋊Q₈	—	2	1	no	—
155	C₁₃×C₄⋊Q₈	—	2	1	no	—
156	C₁₃×C₄⋊Q₈	—	2	1	no	—
157	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
158	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
159	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
160	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₃×#127	C₂³	1	1	yes	characteristic
167	C₁₃×#127	C₂³	1	2	yes	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	1	no	—
174	C₁₃×#125	—	2	1	no	—
175	C₁₃×#125	—	2	1	no	—
176	C₁₃×#125	—	2	2	no	—
177	C₁₃×#125	—	2	2	no	—
178	C₁₃×#125	—	2	2	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	—	2	2	no	—
182	C₁₃×#125	D₄	1	2	yes	—
183	C₁₃×#125	C₂³	1	1	yes	characteristic
184	C₁₃×#125	C₂³	1	2	yes	—
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	—	2	2	no	—
187	C₁₃×#124	—	2	2	no	—
188	C₁₃×#124	—	2	1	no	—
189	C₁₃×#124	C₂³	1	2	yes	—
190	C₁₃×#124	C₂³	1	2	yes	—
191	C₁₃×#124	C₂³	1	1	yes	characteristic
192	C₁₃×#124	C₂³	1	2	yes	—
193	C₁₃×#123	—	2	1	no	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	—	2	1	no	—
203	C₁₃×C₂²⋊Q₈	—	2	1	no	—
204	C₁₃×C₂²⋊Q₈	—	2	2	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	—	2	2	no	—
212	C₁₃×C₂²⋊Q₈	—	2	1	no	—
213	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
214	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
215	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
216	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
217	C₁₃×#121	—	2	1	no	—
218	C₁₃×#121	—	2	2	no	—
219	C₁₃×#121	—	2	1	no	—
220	C₁₃×#121	—	2	2	no	—
221	C₁₃×#121	—	2	2	no	—
222	C₁₃×#121	C₂³	1	1	yes	characteristic
223	C₁₃×#121	C₂³	1	2	yes	—
224	C₄×Q₈×C₁₃	—	2	1	no	—
225	C₄×Q₈×C₁₃	—	2	1	no	—
226	C₄×Q₈×C₁₃	—	2	2	no	—
227	C₄×Q₈×C₁₃	—	2	2	no	—
228	C₄×Q₈×C₁₃	—	2	2	no	—
229	C₄×Q₈×C₁₃	—	2	1	no	—
230	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
233	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
234	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
235	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
237	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	—	2	1	no	—
244	C₄×D₄×C₁₃	—	2	2	no	—
245	C₄×D₄×C₁₃	—	2	1	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₁₃	C₂³	1	2	yes	—
250	C₄×D₄×C₁₃	C₂³	1	2	yes	—
251	C₄×D₄×C₁₃	C₂³	1	2	yes	—
252	C₄×D₄×C₁₃	C₂³	1	2	yes	—
253	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
254	C₁₃×#117	—	2	1	no	—
255	C₁₃×#117	—	2	1	no	—
256	C₁₃×#117	—	2	2	no	—
257	C₁₃×#117	—	2	2	no	—
258	C₁₃×#117	—	2	2	no	—
259	C₁₃×#117	—	2	1	no	—
260	C₁₃×#117	—	2	1	no	—
261	C₁₃×#117	C₂³	1	1	yes	characteristic
262	C₁₃×#117	C₂³	1	2	yes	—
263	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
264	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
265	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
266	C₂×C₄²×C₁₃	—	2	1	no	—
267	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
268	C₁₃×#107	C₂³	1	1	yes	characteristic
269	C₁₃×#107	C₂³	1	2	yes	—
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#106	C₂³	1	1	yes	characteristic
272	C₁₃×#106	C₂³	1	1	yes	characteristic
273	C₁₃×#106	C₂³	1	2	yes	—
274	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
277	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
279	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₃×#103	C₂³	1	1	yes	characteristic
283	C₁₃×#103	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	2	yes	—
285	C₁₃×#103	C₂³	1	2	yes	—
286	C₁₃×#103	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	1	yes	characteristic
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#103	C₂³	1	2	yes	—
295	C₁₃×#102	C₂³	1	1	yes	characteristic
296	C₁₃×#102	C₂³	1	1	yes	characteristic
297	C₁₃×#102	C₂³	1	1	yes	characteristic
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
303	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×#97	C₂³	1	2	yes	—
306	C₁₃×#97	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	2	yes	—
308	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₁₃	C₂³	1	2	yes	—
311	C₄×C₈×C₁₃	C₂³	1	2	yes	—
312	#61923	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₁₃×#41	—	4	1	no	—
314	C₁₃×#41	—	4	1	no	—
315	C₁₃×#41	—	8	2	no	—
316	C₁₃×#41	—	8	2	no	—
317	C₂×Q₈×C₁₃	—	2	2	no	—
318	C₂×Q₈×C₁₃	—	2	1	no	—
319	C₂×Q₈×C₁₃	—	2	2	no	—
320	C₂×Q₈×C₁₃	—	4	2	no	—
321	C₂×Q₈×C₁₃	—	4	2	no	—
322	C₂×Q₈×C₁₃	—	8	2	no	—
323	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
324	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
325	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
326	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
327	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
328	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
329	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
330	C₂×D₄×C₁₃	—	2	1	no	—
331	C₂×D₄×C₁₃	—	2	1	no	—
332	C₂×D₄×C₁₃	—	2	2	no	—
333	C₂×D₄×C₁₃	—	2	1	no	—
334	C₂×D₄×C₁₃	—	2	1	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
338	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
339	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
340	C₂²×C₄×C₁₃	—	2	2	no	—
341	C₂²×C₄×C₁₃	—	2	1	no	—
342	C₂²×C₄×C₁₃	—	2	1	no	—
343	C₂²×C₄×C₁₃	—	2	1	no	—
344	C₂²×C₄×C₁₃	—	2	1	no	—
345	C₂²×C₄×C₁₃	—	2	2	no	—
346	C₂²×C₄×C₁₃	—	2	2	no	—
347	C₂²×C₄×C₁₃	—	2	2	no	—
348	C₂²×C₄×C₁₃	—	2	2	no	—
349	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
350	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
351	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₁₃×Q₁₆	—	4	2	no	—
353	C₁₃×Q₁₆	—	4	2	no	—
354	C₁₃×Q₁₆	—	4	1	no	—
355	C₁₃×SD₁₆	—	4	2	no	—
356	C₁₃×SD₁₆	—	4	2	no	—
357	C₁₃×SD₁₆	—	4	2	no	—
358	C₁₃×SD₁₆	—	4	1	no	—
359	C₁₃×SD₁₆	—	4	2	no	—
360	C₁₃×SD₁₆	—	4	1	no	—
361	C₁₃×SD₁₆	—	4	2	no	—
362	C₁₃×SD₁₆	—	4	2	no	—
363	C₁₃×SD₁₆	—	4	2	no	—
364	C₁₃×D₈	—	4	1	no	—
365	C₁₃×D₈	—	4	2	no	—
366	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
370	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
371	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₁₃×C₄⋊C₄	—	2	1	no	—
373	C₁₃×C₄⋊C₄	—	2	2	no	—
374	C₁₃×C₄⋊C₄	—	2	1	no	—
375	C₁₃×C₄⋊C₄	—	2	1	no	—
376	C₁₃×C₄⋊C₄	—	2	2	no	—
377	C₁₃×C₄⋊C₄	—	2	2	no	—
378	C₁₃×C₄⋊C₄	—	2	1	no	—
379	C₁₃×C₄⋊C₄	—	2	1	no	—
380	C₁₃×C₄⋊C₄	—	2	2	no	—
381	C₁₃×C₄⋊C₄	—	2	1	no	—
382	C₁₃×C₄⋊C₄	—	2	1	no	—
383	C₁₃×C₄⋊C₄	—	2	2	no	—
384	C₁₃×C₄⋊C₄	—	2	2	no	—
385	C₁₃×C₄⋊C₄	—	2	2	no	—
386	C₁₃×C₄⋊C₄	—	2	2	no	—
387	C₁₃×C₄⋊C₄	—	2	1	no	—
388	C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
398	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
399	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
401	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
402	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
403	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
404	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
406	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
407	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
411	C₁₃×C₂²⋊C₄	—	2	1	no	—
412	C₁₃×C₂²⋊C₄	—	2	1	no	—
413	C₁₃×C₂²⋊C₄	—	2	1	no	—
414	C₁₃×C₂²⋊C₄	—	2	1	no	—
415	C₁₃×C₂²⋊C₄	—	2	1	no	—
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	2	no	—
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	1	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	2	no	—
424	C₁₃×C₂²⋊C₄	—	2	2	no	—
425	C₁₃×C₂²⋊C₄	—	2	1	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
431	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
432	C₄²×C₁₃	—	2	1	no	—
433	C₄²×C₁₃	—	2	1	no	—
434	C₄²×C₁₃	—	2	1	no	—
435	C₄²×C₁₃	—	2	2	no	—
436	C₄²×C₁₃	—	2	2	no	—
437	C₄²×C₁₃	—	2	2	no	—
438	C₄²×C₁₃	—	2	2	no	—
439	C₄²×C₁₃	—	2	1	no	—
440	C₄²×C₁₃	—	2	2	no	—
441	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
442	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
443	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
444	C₄²×C₁₃	C₂⁴	1	2	yes	—
445	C₄²×C₁₃	C₂⁴	1	2	yes	—
446	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
447	#3554	C₂×C₁₃	1	1	yes	characteristic, complemented
448	#3509	C₂×C₁₃	1	1	yes	characteristic, complemented
449	#3401	C₂×C₁₃	1	2	yes	complemented
450	#3400	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3400	C₂×C₁₃	1	2	yes	complemented
452	#3397	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3394	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3392	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3376	C₂×C₁₃	1	2	yes	complemented
456	#3374	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3372	C₂×C₁₃	1	2	yes	complemented
458	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3364	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3359	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3225	C₂×C₁₃	1	2	yes	complemented
462	#3221	C₂×C₁₃	1	2	yes	complemented
463	#3218	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3206	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3126	C₂×C₁₃	1	2	yes	complemented
466	#3121	C₂×C₁₃	1	2	yes	complemented
467	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3102	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#2985	C₂×C₁₃	1	1	yes	characteristic, complemented
470	C₂³×C₁₃	—	2	1	no	—
471	C₂³×C₁₃	—	2	2	no	—
472	C₂³×C₁₃	—	2	1	no	—
473	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
474	Q₈×C₁₃	—	2	2	no	—
475	Q₈×C₁₃	—	2	2	no	—
476	Q₈×C₁₃	—	2	2	no	—
477	Q₈×C₁₃	—	2	2	no	—
478	Q₈×C₁₃	—	2	1	no	—
479	Q₈×C₁₃	—	2	1	no	—
480	Q₈×C₁₃	—	2	2	no	—
481	Q₈×C₁₃	—	2	2	no	—
482	Q₈×C₁₃	—	2	1	no	—
483	Q₈×C₁₃	—	2	1	no	—
484	Q₈×C₁₃	—	4	2	no	—
485	Q₈×C₁₃	—	4	4	no	—
486	Q₈×C₁₃	—	4	2	no	—
487	Q₈×C₁₃	—	8	2	no	—
488	D₄×C₁₃	—	2	1	no	—
489	D₄×C₁₃	—	2	1	no	—
490	D₄×C₁₃	—	2	2	no	—
491	D₄×C₁₃	—	2	1	no	—
492	D₄×C₁₃	—	2	2	no	—
493	D₄×C₁₃	—	2	1	no	—
494	D₄×C₁₃	—	4	2	no	—
495	D₄×C₁₃	—	4	2	no	—
496	D₄×C₁₃	—	8	1	no	—
497	D₄×C₁₃	—	8	2	no	—
498	D₄×C₁₃	—	8	2	no	—
499	D₄×C₁₃	—	8	1	no	—
500	D₄×C₁₃	—	8	2	no	—
501	C₂×C₄×C₁₃	—	2	2	no	—
502	C₂×C₄×C₁₃	—	2	1	no	—
503	C₂×C₄×C₁₃	—	2	1	no	—
504	C₂×C₄×C₁₃	—	2	1	no	—
505	C₂×C₄×C₁₃	—	2	1	no	—
506	C₂×C₄×C₁₃	—	2	1	no	—
507	C₂×C₄×C₁₃	—	2	2	no	—
508	C₂×C₄×C₁₃	—	2	2	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	2	1	no	—
511	C₂×C₄×C₁₃	—	2	2	no	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	4	1	no	—
514	C₂×C₄×C₁₃	—	4	2	no	—
515	C₂×C₄×C₁₃	—	4	2	no	—
516	C₂×C₄×C₁₃	—	4	4	no	—
517	C₂×C₄×C₁₃	—	4	2	no	—
518	C₂×C₄×C₁₃	—	4	2	no	—
519	C₂×C₄×C₁₃	—	8	2	no	—
520	C₂×C₄×C₁₃	—	8	2	no	—
521	C₂×C₄×C₁₃	—	8	2	no	—
522	C₂×C₄×C₁₃	—	8	2	no	—
523	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
524	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
525	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
526	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
527	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
528	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
529	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
530	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
531	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
532	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
533	C₈×C₁₃	—	2	1	no	—
534	C₈×C₁₃	—	2	2	no	—
535	C₈×C₁₃	—	2	1	no	—
536	C₈×C₁₃	—	2	1	no	—
537	C₈×C₁₃	—	2	2	no	—
538	C₈×C₁₃	—	2	1	no	—
539	#562	—	2	2	no	—
540	#559	C₂²×C₁₃	1	1	yes	characteristic
541	#559	C₂²×C₁₃	1	2	yes	—
542	#557	C₂²×C₁₃	1	1	yes	characteristic
543	#557	C₂²×C₁₃	1	2	yes	—
544	#557	C₂²×C₁₃	1	1	yes	characteristic
545	#557	C₂²×C₁₃	1	1	yes	characteristic
546	#556	C₂²×C₁₃	1	1	yes	characteristic
547	#556	C₂²×C₁₃	1	1	yes	characteristic
548	#556	C₂²×C₁₃	1	2	yes	—
549	#554	C₂²×C₁₃	1	2	yes	—
550	#552	—	2	1	no	—
551	#552	—	2	1	no	—
552	#552	—	2	2	no	—
553	#550	C₂²×C₁₃	1	1	yes	characteristic
554	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
555	#548	—	2	1	no	—
556	#547	—	2	1	no	—
557	#542	—	2	1	no	—
558	#542	C₂²×C₁₃	1	2	yes	—
559	#541	—	2	2	no	—
560	#540	C₂²×C₁₃	1	2	yes	—
561	#539	—	2	2	no	—
562	#536	—	2	1	no	—
563	#536	C₂²×C₁₃	1	2	yes	—
564	#533	—	2	1	no	—
565	#533	—	2	1	no	—
566	#533	C₂²×C₁₃	1	1	yes	characteristic
567	#532	C₂²×C₁₃	1	1	yes	characteristic
568	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
569	#529	C₂²×C₁₃	1	1	yes	characteristic
570	#519	C₂²×C₁₃	1	2	yes	—
571	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
572	#497	C₂²×C₁₃	1	2	yes	—
573	#497	C₂²×C₁₃	1	2	yes	—
574	#496	C₂²×C₁₃	1	2	yes	—
575	#495	C₂²×C₁₃	1	2	yes	—
576	#492	C₂²×C₁₃	1	1	yes	characteristic
577	#492	C₂²×C₁₃	1	2	yes	—
578	#492	C₂²×C₁₃	1	1	yes	characteristic
579	#491	C₂²×C₁₃	1	2	yes	—
580	#491	C₂²×C₁₃	1	2	yes	—
581	#489	C₂²×C₁₃	1	2	yes	—
582	#488	C₂²×C₁₃	1	2	yes	—
583	#487	C₂²×C₁₃	1	1	yes	characteristic
584	#487	C₂²×C₁₃	1	2	yes	—
585	#487	C₂²×C₁₃	1	1	yes	characteristic
586	#485	C₂²×C₁₃	1	1	yes	characteristic
587	#482	C₂²×C₁₃	1	1	yes	characteristic
588	#482	C₂²×C₁₃	1	2	yes	—
589	#479	C₂²×C₁₃	1	1	yes	characteristic
590	#479	C₂²×C₁₃	1	2	yes	—
591	#479	C₂²×C₁₃	1	2	yes	—
592	#478	C₂²×C₁₃	1	1	yes	characteristic
593	#477	C₂²×C₁₃	1	2	yes	—
594	#475	C₂²×C₁₃	1	1	yes	characteristic
595	#475	C₂²×C₁₃	1	2	yes	—
596	#474	C₂²×C₁₃	1	1	yes	characteristic
597	#464	C₂²×C₁₃	1	1	yes	characteristic
598	#464	C₂²×C₁₃	1	2	yes	—
599	#464	C₂²×C₁₃	1	2	yes	—
600	#464	C₂²×C₁₃	1	2	yes	—
601	#463	C₂²×C₁₃	1	1	yes	characteristic
602	#463	C₂²×C₁₃	1	2	yes	—
603	#463	C₂²×C₁₃	1	2	yes	—
604	#463	C₂²×C₁₃	1	2	yes	—
605	#462	C₂²×C₁₃	1	1	yes	characteristic
606	#462	C₂²×C₁₃	1	1	yes	characteristic
607	#462	C₂²×C₁₃	1	2	yes	—
608	#461	C₂²×C₁₃	1	1	yes	characteristic
609	#461	C₂²×C₁₃	1	2	yes	—
610	#461	C₂²×C₁₃	1	1	yes	characteristic
611	#461	C₂²×C₁₃	1	2	yes	—
612	#461	C₂²×C₁₃	1	2	yes	—
613	#461	C₂²×C₁₃	1	2	yes	—
614	#461	C₂²×C₁₃	1	2	yes	—
615	#460	C₂²×C₁₃	1	1	yes	characteristic
616	#460	C₂²×C₁₃	1	2	yes	—
617	#460	C₂²×C₁₃	1	2	yes	—
618	#459	C₂²×C₁₃	1	1	yes	characteristic
619	#452	C₂²×C₁₃	1	1	yes	characteristic
620	#451	C₂²×C₁₃	1	2	yes	—
621	#449	C₂²×C₁₃	1	1	yes	characteristic
622	#449	C₂²×C₁₃	1	2	yes	—
623	#448	C₂²×C₁₃	1	2	yes	—
624	#448	C₂²×C₁₃	1	2	yes	—
625	#448	C₂²×C₁₃	1	2	yes	—
626	#446	C₂²×C₁₃	1	1	yes	characteristic
627	#446	C₂²×C₁₃	1	2	yes	—
628	#446	C₂²×C₁₃	1	1	yes	characteristic
629	#446	C₂²×C₁₃	1	2	yes	—
630	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
631	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
632	#442	C₂²×C₁₃	1	2	yes	—
633	#441	C₂²×C₁₃	1	2	yes	—
634	#440	C₂²×C₁₃	1	2	yes	—
635	#440	C₂²×C₁₃	1	2	yes	—
636	#440	C₂²×C₁₃	1	2	yes	—
637	#440	C₂²×C₁₃	1	2	yes	—
638	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
639	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
640	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
641	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
642	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
643	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
644	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
645	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
646	#433	C₂²×C₁₃	1	2	yes	—
647	#433	C₂²×C₁₃	1	2	yes	—
648	#432	C₂²×C₁₃	1	1	yes	characteristic
649	#431	C₂²×C₁₃	1	1	yes	characteristic
650	C₂²×C₁₃	—	2	1	no	—
651	C₂²×C₁₃	—	2	1	no	—
652	C₂²×C₁₃	—	2	1	no	—
653	C₂²×C₁₃	—	4	1	no	—
654	C₂²×C₁₃	—	4	2	no	—
655	C₂²×C₁₃	—	4	1	no	—
656	C₂²×C₁₃	—	4	1	no	—
657	C₂²×C₁₃	—	4	2	no	—
658	C₂²×C₁₃	—	4	1	no	—
659	C₂²×C₁₃	—	4	1	no	—
660	C₂²×C₁₃	—	4	1	no	—
661	C₂²×C₁₃	—	4	2	no	—
662	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
663	C₄×C₁₃	—	2	1	no	—
664	C₄×C₁₃	—	2	1	no	—
665	C₄×C₁₃	—	2	2	no	—
666	C₄×C₁₃	—	2	2	no	—
667	C₄×C₁₃	—	2	1	no	—
668	C₄×C₁₃	—	2	1	no	—
669	C₄×C₁₃	—	2	2	no	—
670	C₄×C₁₃	—	2	2	no	—
671	C₄×C₁₃	—	4	1	no	—
672	C₄×C₁₃	—	4	1	no	—
673	C₄×C₁₃	—	4	1	no	—
674	C₄×C₁₃	—	4	2	no	—
675	C₄×C₁₃	—	4	2	no	—
676	C₄×C₁₃	—	4	1	no	—
677	C₄×C₁₃	—	4	1	no	—
678	C₄×C₁₃	—	4	1	no	—
679	C₄×C₁₃	—	4	2	no	—
680	C₄×C₁₃	#577	1	2	yes	—
681	C₄×C₁₃	#585	1	1	yes	characteristic
682	C₄×C₁₃	#585	1	1	yes	characteristic
683	C₂×#41	—	2	1	no	—
684	C₂×#41	—	2	1	no	—
685	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
686	C₂²×Q₈	—	2	1	no	—
687	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
688	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
689	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
690	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
691	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
692	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
693	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
694	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
695	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
696	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
697	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
698	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
699	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
700	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
701	C₂×D₈	C₂³×C₁₃	1	2	yes	—
702	C₄⋊Q₈	—	2	1	no	—
703	C₄⋊Q₈	—	2	1	no	—
704	C₄⋊Q₈	—	2	1	no	—
705	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
706	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
707	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
708	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
709	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
710	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
711	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
712	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
713	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
714	#127	C₂³×C₁₃	1	1	yes	characteristic
715	#127	C₂³×C₁₃	1	2	yes	—
716	#126	—	2	2	no	—
717	#126	—	2	2	no	—
718	#126	—	2	2	no	—
719	#126	—	2	2	no	—
720	#126	—	2	2	no	—
721	#126	—	2	1	no	—
722	#125	—	2	1	no	—
723	#125	—	2	1	no	—
724	#125	—	2	2	no	—
725	#125	—	2	2	no	—
726	#125	—	2	2	no	—
727	#125	—	2	2	no	—
728	#125	—	2	2	no	—
729	#125	—	2	2	no	—
730	#125	D₄×C₁₃	1	2	yes	—
731	#125	C₂³×C₁₃	1	1	yes	characteristic
732	#125	C₂³×C₁₃	1	2	yes	—
733	#124	—	2	1	no	—
734	#124	—	2	2	no	—
735	#124	—	2	2	no	—
736	#124	—	2	1	no	—
737	#124	C₂³×C₁₃	1	1	yes	characteristic
738	#124	C₂³×C₁₃	1	2	yes	—
739	#124	C₂³×C₁₃	1	2	yes	—
740	#124	C₂³×C₁₃	1	2	yes	—
741	#123	—	2	1	no	—
742	#123	—	2	2	no	—
743	#123	—	2	2	no	—
744	#123	—	2	2	no	—
745	#123	—	2	2	no	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	#123	—	2	2	no	—
750	C₂²⋊Q₈	—	2	1	no	—
751	C₂²⋊Q₈	—	2	1	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	1	no	—
761	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
762	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
763	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
764	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
765	#121	—	2	1	no	—
766	#121	—	2	2	no	—
767	#121	—	2	1	no	—
768	#121	—	2	2	no	—
769	#121	—	2	2	no	—
770	#121	C₂³×C₁₃	1	1	yes	characteristic
771	#121	C₂³×C₁₃	1	2	yes	—
772	C₄×Q₈	—	2	1	no	—
773	C₄×Q₈	—	2	1	no	—
774	C₄×Q₈	—	2	2	no	—
775	C₄×Q₈	—	2	2	no	—
776	C₄×Q₈	—	2	2	no	—
777	C₄×Q₈	—	2	1	no	—
778	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
779	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
780	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
781	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
782	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
783	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
784	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
785	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
786	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
787	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
788	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
789	C₄×D₄	—	2	1	no	—
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	1	no	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	—	2	1	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
796	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
797	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
798	C₄×D₄	C₂³×C₁₃	1	2	yes	—
799	C₄×D₄	C₂³×C₁₃	1	2	yes	—
800	C₄×D₄	C₂³×C₁₃	1	2	yes	—
801	C₄×D₄	C₂³×C₁₃	1	2	yes	—
802	#117	—	2	1	no	—
803	#117	—	2	1	no	—
804	#117	—	2	2	no	—
805	#117	—	2	2	no	—
806	#117	—	2	2	no	—
807	#117	—	2	1	no	—
808	#117	—	2	1	no	—
809	#117	C₂³×C₁₃	1	1	yes	characteristic
810	#117	C₂³×C₁₃	1	2	yes	—
811	C₂×C₄⋊C₄	—	2	1	no	—
812	C₂×C₄⋊C₄	—	2	1	no	—
813	C₂×C₄⋊C₄	—	2	2	no	—
814	C₂×C₄²	—	2	1	no	—
815	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
816	#107	C₂³×C₁₃	1	1	yes	characteristic
817	#107	C₂³×C₁₃	1	2	yes	—
818	#107	C₂³×C₁₃	1	1	yes	characteristic
819	#106	C₂³×C₁₃	1	1	yes	characteristic
820	#106	C₂³×C₁₃	1	1	yes	characteristic
821	#106	C₂³×C₁₃	1	2	yes	—
822	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
823	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
824	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
825	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
826	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
827	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
828	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
829	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
830	#103	C₂³×C₁₃	1	1	yes	characteristic
831	#103	C₂³×C₁₃	1	2	yes	—
832	#103	C₂³×C₁₃	1	2	yes	—
833	#103	C₂³×C₁₃	1	2	yes	—
834	#103	C₂³×C₁₃	1	1	yes	characteristic
835	#103	C₂³×C₁₃	1	1	yes	characteristic
836	#103	C₂³×C₁₃	1	2	yes	—
837	#103	C₂³×C₁₃	1	1	yes	characteristic
838	#103	C₂³×C₁₃	1	2	yes	—
839	#103	C₂³×C₁₃	1	2	yes	—
840	#103	C₂³×C₁₃	1	2	yes	—
841	#103	C₂³×C₁₃	1	2	yes	—
842	#103	C₂³×C₁₃	1	2	yes	—
843	#102	C₂³×C₁₃	1	1	yes	characteristic
844	#102	C₂³×C₁₃	1	1	yes	characteristic
845	#102	C₂³×C₁₃	1	1	yes	characteristic
846	#102	C₂³×C₁₃	1	2	yes	—
847	#102	C₂³×C₁₃	1	2	yes	—
848	#102	C₂³×C₁₃	1	1	yes	characteristic
849	#102	C₂³×C₁₃	1	2	yes	—
850	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
851	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
852	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
853	#97	C₂³×C₁₃	1	2	yes	—
854	#97	C₂³×C₁₃	1	2	yes	—
855	#97	C₂³×C₁₃	1	2	yes	—
856	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
857	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
858	C₄×C₈	C₂³×C₁₃	1	2	yes	—
859	C₄×C₈	C₂³×C₁₃	1	2	yes	—
860	C₂×C₁₃	—	4	1	no	—
861	C₂×C₁₃	—	8	1	no	—
862	C₂×C₁₃	—	8	2	no	—
863	C₂×C₁₃	—	8	1	no	—
864	C₂×C₁₃	#3487	1	1	yes	characteristic
865	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
866	C₂×C₁₃	#3586	1	1	yes	characteristic
867	#41	—	4	1	no	—
868	#41	—	4	1	no	—
869	#41	—	8	2	no	—
870	#41	—	8	2	no	—
871	C₂×Q₈	—	2	2	no	—
872	C₂×Q₈	—	2	1	no	—
873	C₂×Q₈	—	2	2	no	—
874	C₂×Q₈	—	4	2	no	—
875	C₂×Q₈	—	4	2	no	—
876	C₂×Q₈	—	8	2	no	—
877	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
878	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
879	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
880	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
881	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
882	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
883	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
884	C₂×D₄	—	2	1	no	—
885	C₂×D₄	—	2	1	no	—
886	C₂×D₄	—	2	2	no	—
887	C₂×D₄	—	2	1	no	—
888	C₂×D₄	—	2	1	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
892	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
893	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
894	C₂²×C₄	—	2	2	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
904	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
905	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
906	Q₁₆	—	4	2	no	—
907	Q₁₆	—	4	2	no	—
908	Q₁₆	—	4	1	no	—
909	SD₁₆	—	4	2	no	—
910	SD₁₆	—	4	2	no	—
911	SD₁₆	—	4	2	no	—
912	SD₁₆	—	4	1	no	—
913	SD₁₆	—	4	2	no	—
914	SD₁₆	—	4	1	no	—
915	SD₁₆	—	4	2	no	—
916	SD₁₆	—	4	2	no	—
917	SD₁₆	—	4	2	no	—
918	D₈	—	4	1	no	—
919	D₈	—	4	2	no	—
920	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
921	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
922	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
923	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
924	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
925	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	2	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	1	no	—
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
952	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
953	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
954	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
955	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
956	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
957	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
958	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
959	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
960	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
961	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
962	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
963	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
964	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
965	C₂²⋊C₄	—	2	1	no	—
966	C₂²⋊C₄	—	2	1	no	—
967	C₂²⋊C₄	—	2	1	no	—
968	C₂²⋊C₄	—	2	1	no	—
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
985	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
986	C₄²	—	2	1	no	—
987	C₄²	—	2	1	no	—
988	C₄²	—	2	1	no	—
989	C₄²	—	2	2	no	—
990	C₄²	—	2	2	no	—
991	C₄²	—	2	2	no	—
992	C₄²	—	2	2	no	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	2	no	—
995	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
996	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
997	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₄²	C₂⁴×C₁₃	1	2	yes	—
999	C₄²	C₂⁴×C₁₃	1	2	yes	—
1000	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1001	C₁₃	#61923	1	1	yes	characteristic, direct product factor, Sylow
1002	C₂³	—	2	1	no	—
1003	C₂³	—	2	1	no	—
1004	C₂³	—	2	2	no	—
1005	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1006	Q₈	—	2	2	no	—
1007	Q₈	—	2	2	no	—
1008	Q₈	—	2	2	no	—
1009	Q₈	—	2	2	no	—
1010	Q₈	—	2	1	no	—
1011	Q₈	—	2	1	no	—
1012	Q₈	—	2	2	no	—
1013	Q₈	—	2	2	no	—
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	1	no	—
1016	Q₈	—	4	2	no	—
1017	Q₈	—	4	4	no	—
1018	Q₈	—	4	2	no	—
1019	Q₈	—	8	2	no	—
1020	D₄	—	2	1	no	—
1021	D₄	—	2	1	no	—
1022	D₄	—	2	2	no	—
1023	D₄	—	2	1	no	—
1024	D₄	—	2	2	no	—
1025	D₄	—	2	1	no	—
1026	D₄	—	4	2	no	—
1027	D₄	—	4	2	no	—
1028	D₄	—	8	1	no	—
1029	D₄	—	8	2	no	—
1030	D₄	—	8	2	no	—
1031	D₄	—	8	1	no	—
1032	D₄	—	8	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	4	1	no	—
1046	C₂×C₄	—	4	2	no	—
1047	C₂×C₄	—	4	2	no	—
1048	C₂×C₄	—	4	4	no	—
1049	C₂×C₄	—	4	2	no	—
1050	C₂×C₄	—	4	2	no	—
1051	C₂×C₄	—	8	2	no	—
1052	C₂×C₄	—	8	2	no	—
1053	C₂×C₄	—	8	2	no	—
1054	C₂×C₄	—	8	2	no	—
1055	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1056	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1057	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1058	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1059	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1060	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1061	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1062	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1063	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1064	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1065	C₈	—	2	1	no	—
1066	C₈	—	2	2	no	—
1067	C₈	—	2	1	no	—
1068	C₈	—	2	1	no	—
1069	C₈	—	2	2	no	—
1070	C₈	—	2	1	no	—
1071	C₂²	—	2	1	no	—
1072	C₂²	—	2	1	no	—
1073	C₂²	—	2	1	no	—
1074	C₂²	—	4	1	no	—
1075	C₂²	—	4	1	no	—
1076	C₂²	—	4	2	no	—
1077	C₂²	—	4	1	no	—
1078	C₂²	—	4	2	no	—
1079	C₂²	—	4	1	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	1	no	—
1082	C₂²	—	4	2	no	—
1083	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1084	C₄	—	2	1	no	—
1085	C₄	—	2	2	no	—
1086	C₄	—	2	2	no	—
1087	C₄	—	2	1	no	—
1088	C₄	—	2	1	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	2	2	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	1	no	—
1094	C₄	—	4	2	no	—
1095	C₄	—	4	1	no	—
1096	C₄	—	4	1	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	2	no	—
1099	C₄	—	4	2	no	—
1100	C₄	—	4	1	no	—
1101	C₄	C₁₃×#577	1	2	yes	—
1102	C₄	C₁₃×#585	1	1	yes	characteristic
1103	C₄	C₁₃×#585	1	1	yes	characteristic
1104	C₂	—	4	1	no	—
1105	C₂	—	8	1	no	—
1106	C₂	—	8	1	no	—
1107	C₂	—	8	2	no	—
1108	C₂	C₁₃×#3487	1	1	yes	characteristic
1109	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1110	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3554	C₂	semidirect
2. C₁₃×#3509	C₂	semidirect
3. C₁₃×#3401	C₂	semidirect
4. C₁₃×#3400	C₂	semidirect
5. C₁₃×#3400	C₂	semidirect
6. C₁₃×#3397	C₂	semidirect
7. C₁₃×#3394	C₂	semidirect
8. C₁₃×#3392	C₂	semidirect
9. C₁₃×#3376	C₂	semidirect
10. C₁₃×#3374	C₂	semidirect
11. C₁₃×#3372	C₂	semidirect
12. C₁₃×#3367	C₂	semidirect
13. C₁₃×#3364	C₂	semidirect
14. C₁₃×#3359	C₂	semidirect
15. C₁₃×#3225	C₂	semidirect
16. C₁₃×#3221	C₂	semidirect
17. C₁₃×#3218	C₂	semidirect
18. C₁₃×#3206	C₂	semidirect
19. C₁₃×#3126	C₂	semidirect
20. C₁₃×#3121	C₂	semidirect
21. C₁₃×#3115	C₂	semidirect
22. C₁₃×#3102	C₂	semidirect
23. C₁₃×#2985	C₂	semidirect
312. #61923	C₁₃	direct (N × H)
447. #3554	C₂×C₁₃	semidirect
448. #3509	C₂×C₁₃	semidirect
449. #3401	C₂×C₁₃	semidirect
450. #3400	C₂×C₁₃	semidirect
451. #3400	C₂×C₁₃	semidirect
452. #3397	C₂×C₁₃	semidirect
453. #3394	C₂×C₁₃	semidirect
454. #3392	C₂×C₁₃	semidirect
455. #3376	C₂×C₁₃	semidirect
456. #3374	C₂×C₁₃	semidirect
457. #3372	C₂×C₁₃	semidirect
458. #3367	C₂×C₁₃	semidirect
459. #3364	C₂×C₁₃	semidirect
460. #3359	C₂×C₁₃	semidirect
461. #3225	C₂×C₁₃	semidirect
462. #3221	C₂×C₁₃	semidirect
463. #3218	C₂×C₁₃	semidirect
464. #3206	C₂×C₁₃	semidirect
465. #3126	C₂×C₁₃	semidirect
466. #3121	C₂×C₁₃	semidirect
467. #3115	C₂×C₁₃	semidirect
468. #3102	C₂×C₁₃	semidirect
469. #2985	C₂×C₁₃	semidirect
1001. C₁₃	#61923	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3554	2
C₁₃×#3509	2
C₁₃×#3401	2
C₁₃×#3400	2
C₁₃×#3397	2
C₁₃×#3394	2
C₁₃×#3392	2
C₁₃×#3376	2
C₁₃×#3374	2
C₁₃×#3372	2
C₁₃×#3367	2
C₁₃×#3364	2
C₁₃×#3359	2
C₁₃×#3225	2
C₁₃×#3221	2
C₁₃×#3218	2
C₁₃×#3206	2
C₁₃×#3126	2
C₁₃×#3121	2
C₁₃×#3115	2
C₁₃×#3102	2
C₁₃×#2985	2
#61923	13

Subgroups — C13×#61923 #15748262

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61923 #15748262