Subgroups — C₁₃×#3120 #13112178

Order 1664.

372 conjugacy classes of subgroups.

The subgroup lattice has 338 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#541	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#520	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#484	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#483	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#479	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#478	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#462	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#461	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#452	C₂	1	1	yes	maximal, characteristic
10	C₁₃×#452	C₂	1	1	yes	maximal, characteristic
11	C₁₃×#441	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄×C₁₃×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#433	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×#41	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
20	C₂×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
21	C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
22	C₁₃×#126	—	2	1	no	—
23	C₁₃×#126	—	2	1	no	—
24	C₁₃×#125	—	2	1	no	—
25	C₁₃×#125	—	2	1	no	—
26	C₁₃×#125	C₂²	1	1	yes	characteristic
27	C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
28	C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
29	C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
30	C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
31	C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
32	C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
33	C₄×D₄×C₁₃	—	2	1	no	—
34	C₄×D₄×C₁₃	—	2	1	no	—
35	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
36	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
37	C₁₃×#117	—	2	1	no	—
38	C₁₃×#117	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
40	C₂×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
41	C₁₃×#107	C₂²	1	1	yes	characteristic
42	C₁₃×#107	C₂²	1	1	yes	characteristic
43	C₁₃×#106	C₂²	1	1	yes	characteristic
44	C₁₃×#106	C₂²	1	1	yes	characteristic
45	C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
46	C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
47	C₁₃×#103	C₂²	1	1	yes	characteristic
48	C₁₃×#103	C₂²	1	1	yes	characteristic
49	C₁₃×#103	C₂²	1	1	yes	characteristic
50	C₁₃×#103	C₂²	1	1	yes	characteristic
51	C₁₃×#103	C₂²	1	1	yes	characteristic
52	C₁₃×#103	C₂²	1	1	yes	characteristic
53	C₁₃×#102	C₂²	1	1	yes	characteristic
54	C₁₃×#102	C₂²	1	1	yes	characteristic
55	C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
56	C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
57	C₁₃×#97	C₂²	1	1	yes	characteristic
58	C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
59	C₁₃×#41	—	2	2	no	—
60	C₁₃×#41	—	2	2	no	—
61	C₂×Q₈×C₁₃	C₂³	1	1	yes	characteristic
62	C₂×Q₈×C₁₃	C₂³	1	1	yes	characteristic
63	C₂×Q₈×C₁₃	C₂³	1	1	yes	characteristic
64	C₂×D₄×C₁₃	—	2	1	no	—
65	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
66	C₂²×C₄×C₁₃	—	2	1	no	—
67	C₂²×C₄×C₁₃	—	2	1	no	—
68	C₂²×C₄×C₁₃	—	2	1	no	—
69	C₂²×C₄×C₁₃	—	2	1	no	—
70	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
71	C₁₃×Q₁₆	—	2	2	no	—
72	C₁₃×Q₁₆	—	2	2	no	—
73	C₁₃×SD₁₆	—	2	2	no	—
74	C₁₃×SD₁₆	—	2	2	no	—
75	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
76	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
77	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
78	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
79	C₁₃×C₄⋊C₄	—	2	1	no	—
80	C₁₃×C₄⋊C₄	—	2	1	no	—
81	C₁₃×C₄⋊C₄	—	2	1	no	—
82	C₁₃×C₄⋊C₄	—	2	1	no	—
83	C₁₃×C₄⋊C₄	—	2	1	no	—
84	C₁₃×C₄⋊C₄	—	2	1	no	—
85	C₁₃×C₄⋊C₄	—	2	1	no	—
86	C₁₃×C₄⋊C₄	—	2	1	no	—
87	C₁₃×C₄⋊C₄	—	2	1	no	—
88	C₁₃×C₄⋊C₄	—	2	1	no	—
89	C₁₃×C₄⋊C₄	—	2	1	no	—
90	C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
91	C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
92	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
93	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
94	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
95	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
96	C₁₃×C₂²⋊C₄	—	2	1	no	—
97	C₁₃×C₂²⋊C₄	—	2	1	no	—
98	C₁₃×C₂²⋊C₄	—	2	1	no	—
99	C₁₃×C₂²⋊C₄	—	2	1	no	—
100	C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
101	C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
102	C₄²×C₁₃	—	2	1	no	—
103	C₄²×C₁₃	—	2	1	no	—
104	C₄²×C₁₃	—	2	1	no	—
105	C₄²×C₁₃	—	2	1	no	—
106	C₄²×C₁₃	C₂³	1	1	yes	characteristic
107	C₄²×C₁₃	C₂³	1	1	yes	characteristic
108	#3120	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
109	C₂³×C₁₃	—	2	1	no	—
110	C₂³×C₁₃	C₂×D₄	1	1	yes	characteristic
111	Q₈×C₁₃	—	2	1	no	—
112	Q₈×C₁₃	—	2	1	no	—
113	Q₈×C₁₃	—	2	1	no	—
114	Q₈×C₁₃	—	2	1	no	—
115	Q₈×C₁₃	—	2	1	no	—
116	Q₈×C₁₃	#41	1	2	yes	—
117	D₄×C₁₃	—	2	4	no	—
118	D₄×C₁₃	—	2	1	no	—
119	D₄×C₁₃	#41	1	2	yes	—
120	C₂×C₄×C₁₃	—	2	4	no	—
121	C₂×C₄×C₁₃	—	2	1	no	—
122	C₂×C₄×C₁₃	—	2	1	no	—
123	C₂×C₄×C₁₃	—	2	1	no	—
124	C₂×C₄×C₁₃	—	2	1	no	—
125	C₂×C₄×C₁₃	—	2	1	no	—
126	C₂×C₄×C₁₃	—	2	1	no	—
127	C₂×C₄×C₁₃	—	2	1	no	—
128	C₂×C₄×C₁₃	—	2	1	no	—
129	C₂×C₄×C₁₃	—	2	1	no	—
130	C₂×C₄×C₁₃	—	8	1	no	—
131	C₂×C₄×C₁₃	—	8	1	no	—
132	C₂×C₄×C₁₃	—	8	1	no	—
133	C₂×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
134	C₂×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
135	C₂×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
136	C₂×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
137	C₂×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
138	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
139	C₈×C₁₃	—	2	1	no	—
140	C₈×C₁₃	—	2	1	no	—
141	C₈×C₁₃	—	2	1	no	—
142	C₈×C₁₃	—	2	1	no	—
143	#541	C₂×C₁₃	1	1	yes	characteristic, complemented
144	#520	C₂×C₁₃	1	1	yes	characteristic
145	#484	C₂×C₁₃	1	1	yes	characteristic, complemented
146	#483	C₂×C₁₃	1	1	yes	characteristic, complemented
147	#479	C₂×C₁₃	1	1	yes	characteristic, complemented
148	#478	C₂×C₁₃	1	1	yes	characteristic, complemented
149	#462	C₂×C₁₃	1	1	yes	characteristic, complemented
150	#461	C₂×C₁₃	1	1	yes	characteristic, complemented
151	#452	C₂×C₁₃	1	1	yes	characteristic
152	#452	C₂×C₁₃	1	1	yes	characteristic
153	#441	C₂×C₁₃	1	1	yes	characteristic, complemented
154	#440	C₂×C₁₃	1	1	yes	characteristic, complemented
155	C₄×Q₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
156	C₄×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
157	#433	C₂×C₁₃	1	1	yes	characteristic, complemented
158	C₂²×C₁₃	—	2	1	no	—
159	C₂²×C₁₃	—	2	2	no	—
160	C₂²×C₁₃	—	2	1	no	—
161	C₂²×C₁₃	—	2	1	no	—
162	C₂²×C₁₃	—	4	1	no	—
163	C₂²×C₁₃	—	4	1	no	—
164	C₂²×C₁₃	C₂²×D₄	1	1	yes	characteristic
165	C₄×C₁₃	—	2	1	no	—
166	C₄×C₁₃	—	2	2	no	—
167	C₄×C₁₃	—	2	1	no	—
168	C₄×C₁₃	—	2	1	no	—
169	C₄×C₁₃	—	2	1	no	—
170	C₄×C₁₃	—	2	1	no	—
171	C₄×C₁₃	—	4	1	no	—
172	C₄×C₁₃	—	4	1	no	—
173	C₄×C₁₃	—	4	1	no	—
174	C₄×C₁₃	—	4	1	no	—
175	C₄×C₁₃	—	4	1	no	—
176	C₄×C₁₃	—	4	1	no	—
177	C₄×C₁₃	C₂×#41	1	1	yes	characteristic
178	C₄×C₁₃	C₂×#41	1	1	yes	characteristic
179	C₂×#41	C₂²×C₁₃	1	1	yes	characteristic
180	C₂×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
181	C₂×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
182	C₂×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
183	C₂×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
184	C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
185	#126	—	2	1	no	—
186	#126	—	2	1	no	—
187	#125	—	2	1	no	—
188	#125	—	2	1	no	—
189	#125	C₂²×C₁₃	1	1	yes	characteristic
190	C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
191	C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
192	C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
193	C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
194	C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
195	C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
196	C₄×D₄	—	2	1	no	—
197	C₄×D₄	—	2	1	no	—
198	C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
199	C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
200	#117	—	2	1	no	—
201	#117	C₂²×C₁₃	1	1	yes	characteristic
202	C₂×C₄⋊C₄	—	2	1	no	—
203	C₂×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
204	#107	C₂²×C₁₃	1	1	yes	characteristic
205	#107	C₂²×C₁₃	1	1	yes	characteristic
206	#106	C₂²×C₁₃	1	1	yes	characteristic
207	#106	C₂²×C₁₃	1	1	yes	characteristic
208	C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
209	C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
210	#103	C₂²×C₁₃	1	1	yes	characteristic
211	#103	C₂²×C₁₃	1	1	yes	characteristic
212	#103	C₂²×C₁₃	1	1	yes	characteristic
213	#103	C₂²×C₁₃	1	1	yes	characteristic
214	#103	C₂²×C₁₃	1	1	yes	characteristic
215	#103	C₂²×C₁₃	1	1	yes	characteristic
216	#102	C₂²×C₁₃	1	1	yes	characteristic
217	#102	C₂²×C₁₃	1	1	yes	characteristic
218	C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
219	C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
220	#97	C₂²×C₁₃	1	1	yes	characteristic
221	C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
222	C₂×C₁₃	—	4	1	no	—
223	C₂×C₁₃	—	4	2	no	—
224	C₂×C₁₃	#525	1	1	yes	characteristic
225	C₂×C₁₃	#577	1	1	yes	characteristic
226	C₂×C₁₃	#578	1	1	yes	characteristic
227	#41	—	2	2	no	—
228	#41	—	2	2	no	—
229	C₂×Q₈	C₂³×C₁₃	1	1	yes	characteristic
230	C₂×Q₈	C₂³×C₁₃	1	1	yes	characteristic
231	C₂×Q₈	C₂³×C₁₃	1	1	yes	characteristic
232	C₂×D₄	—	2	1	no	—
233	C₂×D₄	C₂³×C₁₃	1	1	yes	characteristic
234	C₂²×C₄	—	2	1	no	—
235	C₂²×C₄	—	2	1	no	—
236	C₂²×C₄	—	2	1	no	—
237	C₂²×C₄	—	2	1	no	—
238	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
239	Q₁₆	—	2	2	no	—
240	Q₁₆	—	2	2	no	—
241	SD₁₆	—	2	2	no	—
242	SD₁₆	—	2	2	no	—
243	C₂×C₈	C₂³×C₁₃	1	1	yes	characteristic
244	C₂×C₈	C₂³×C₁₃	1	1	yes	characteristic
245	C₂×C₈	C₂³×C₁₃	1	1	yes	characteristic
246	C₂×C₈	C₂³×C₁₃	1	1	yes	characteristic
247	C₄⋊C₄	—	2	1	no	—
248	C₄⋊C₄	—	2	1	no	—
249	C₄⋊C₄	—	2	1	no	—
250	C₄⋊C₄	—	2	1	no	—
251	C₄⋊C₄	—	2	1	no	—
252	C₄⋊C₄	—	2	1	no	—
253	C₄⋊C₄	—	2	1	no	—
254	C₄⋊C₄	—	2	1	no	—
255	C₄⋊C₄	—	2	1	no	—
256	C₄⋊C₄	—	2	1	no	—
257	C₄⋊C₄	—	2	1	no	—
258	C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
259	C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
260	C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
261	C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
262	C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
263	C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
264	C₂²⋊C₄	—	2	1	no	—
265	C₂²⋊C₄	—	2	1	no	—
266	C₂²⋊C₄	—	2	1	no	—
267	C₂²⋊C₄	—	2	1	no	—
268	C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
269	C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
270	C₄²	—	2	1	no	—
271	C₄²	—	2	1	no	—
272	C₄²	—	2	1	no	—
273	C₄²	—	2	1	no	—
274	C₄²	C₂³×C₁₃	1	1	yes	characteristic
275	C₄²	C₂³×C₁₃	1	1	yes	characteristic
276	C₁₃	#3120	1	1	yes	characteristic, direct product factor, Sylow
277	C₂³	—	2	1	no	—
278	C₂³	C₂×D₄×C₁₃	1	1	yes	characteristic
279	Q₈	—	2	1	no	—
280	Q₈	—	2	1	no	—
281	Q₈	—	2	1	no	—
282	Q₈	—	2	1	no	—
283	Q₈	—	2	1	no	—
284	Q₈	C₁₃×#41	1	2	yes	—
285	D₄	—	2	4	no	—
286	D₄	—	2	1	no	—
287	D₄	C₁₃×#41	1	2	yes	—
288	C₂×C₄	—	2	4	no	—
289	C₂×C₄	—	2	1	no	—
290	C₂×C₄	—	2	1	no	—
291	C₂×C₄	—	2	1	no	—
292	C₂×C₄	—	2	1	no	—
293	C₂×C₄	—	2	1	no	—
294	C₂×C₄	—	2	1	no	—
295	C₂×C₄	—	2	1	no	—
296	C₂×C₄	—	2	1	no	—
297	C₂×C₄	—	2	1	no	—
298	C₂×C₄	—	8	1	no	—
299	C₂×C₄	—	8	1	no	—
300	C₂×C₄	—	8	1	no	—
301	C₂×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
302	C₂×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
303	C₂×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
304	C₂×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
305	C₂×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
306	C₂×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
307	C₈	—	2	1	no	—
308	C₈	—	2	1	no	—
309	C₈	—	2	1	no	—
310	C₈	—	2	1	no	—
311	C₂²	—	2	1	no	—
312	C₂²	—	2	2	no	—
313	C₂²	—	2	1	no	—
314	C₂²	—	2	1	no	—
315	C₂²	—	4	1	no	—
316	C₂²	—	4	1	no	—
317	C₂²	C₂²×D₄×C₁₃	1	1	yes	characteristic
318	C₄	—	2	1	no	—
319	C₄	—	2	2	no	—
320	C₄	—	2	1	no	—
321	C₄	—	2	1	no	—
322	C₄	—	2	1	no	—
323	C₄	—	2	1	no	—
324	C₄	—	4	1	no	—
325	C₄	—	4	1	no	—
326	C₄	—	4	1	no	—
327	C₄	—	4	1	no	—
328	C₄	—	4	1	no	—
329	C₄	—	4	1	no	—
330	C₄	C₂×C₁₃×#41	1	1	yes	characteristic
331	C₄	C₂×C₁₃×#41	1	1	yes	characteristic
332	C₂	—	4	1	no	—
333	C₂	—	4	2	no	—
334	C₂	C₁₃×#525	1	1	yes	characteristic
335	C₂	C₁₃×#577	1	1	yes	characteristic
336	C₂	C₁₃×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₁₃
prime radical	C₂×C₁₃×#41	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#541	C₂	semidirect
3. C₁₃×#484	C₂	semidirect
4. C₁₃×#483	C₂	semidirect
5. C₁₃×#479	C₂	semidirect
6. C₁₃×#478	C₂	semidirect
7. C₁₃×#462	C₂	semidirect
8. C₁₃×#461	C₂	semidirect
11. C₁₃×#441	C₂	semidirect
12. C₁₃×#440	C₂	semidirect
13. C₄×C₁₃×Q₁₆	C₂	semidirect
14. C₄×C₁₃×SD₁₆	C₂	semidirect
15. C₁₃×#433	C₂	semidirect
108. #3120	C₁₃	direct (N × H)
143. #541	C₂×C₁₃	semidirect
145. #484	C₂×C₁₃	semidirect
146. #483	C₂×C₁₃	semidirect
147. #479	C₂×C₁₃	semidirect
148. #478	C₂×C₁₃	semidirect
149. #462	C₂×C₁₃	semidirect
150. #461	C₂×C₁₃	semidirect
153. #441	C₂×C₁₃	semidirect
154. #440	C₂×C₁₃	semidirect
155. C₄×Q₁₆	C₂×C₁₃	semidirect
156. C₄×SD₁₆	C₂×C₁₃	semidirect
157. #433	C₂×C₁₃	semidirect
276. C₁₃	#3120	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×#541	2
C₁₃×#520	2
C₁₃×#484	2
C₁₃×#483	2
C₁₃×#479	2
C₁₃×#478	2
C₁₃×#462	2
C₁₃×#461	2
C₁₃×#452	2
C₁₃×#441	2
C₁₃×#440	2
C₄×C₁₃×Q₁₆	2
C₄×C₁₃×SD₁₆	2
C₁₃×#433	2
#3120	13

Subgroups — C13×#3120 #13112178

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#3120 #13112178