Subgroups — C₆₁×#8226 #29511659

Order 15616.

572 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#124×C₆₁	C₂	1	1	yes	maximal, characteristic
2	C₆₁×#1745	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×#97×C₆₁	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₆₁×#329	C₂	1	2	yes	maximal
5	C₆₁×#1295	C₂	1	2	yes	maximal, complemented
6	C₂×#124×C₆₁	C₂²	1	1	yes	characteristic
7	C₂×C₄×Q₈×C₆₁	C₄	1	1	yes	characteristic
8	C₂×C₄×D₄×C₆₁	C₄	1	1	yes	characteristic
9	C₂×#97×C₆₁	—	2	1	no	—
10	C₂×#97×C₆₁	C₂²	1	2	yes	—
11	C₂×#97×C₆₁	C₂²	1	2	yes	—
12	C₂×C₄×C₈×C₆₁	—	2	1	no	—
13	C₆₁×#391	C₄	1	1	yes	characteristic
14	C₆₁×#390	C₄	1	1	yes	characteristic
15	C₆₁×#388	—	2	1	no	—
16	C₆₁×#388	—	2	1	no	—
17	C₆₁×#382	C₂²	1	1	yes	characteristic
18	C₄×C₂²⋊C₄×C₆₁	—	2	1	no	—
19	C₄×C₂²⋊C₄×C₆₁	—	2	1	no	—
20	C₄³×C₆₁	C₂²	1	1	yes	characteristic
21	C₆₁×#336	—	2	1	no	—
22	C₆₁×#336	—	2	1	no	—
23	C₆₁×#329	C₄	1	8	yes	complemented
24	C₂²×Q₈×C₆₁	C₂×C₄	1	1	yes	characteristic
25	C₂²×D₄×C₆₁	C₂×C₄	1	1	yes	characteristic
26	C₂³×C₄×C₆₁	—	2	1	no	—
27	C₂²×C₈×C₆₁	—	2	2	no	—
28	C₂²×C₈×C₆₁	—	2	2	no	—
29	#124×C₆₁	—	2	2	no	—
30	#124×C₆₁	C₂×C₄	1	4	yes	—
31	C₄×Q₈×C₆₁	—	4	2	no	—
32	C₄×D₄×C₆₁	—	4	2	no	—
33	C₂×C₄⋊C₄×C₆₁	—	2	1	no	—
34	C₂×C₄⋊C₄×C₆₁	C₂×C₄	1	1	yes	characteristic
35	C₂×C₄⋊C₄×C₆₁	C₂×C₄	1	1	yes	characteristic
36	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
37	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
38	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
39	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
40	C₂×C₂²⋊C₄×C₆₁	—	2	1	no	—
41	C₂×C₄²×C₆₁	—	2	1	no	—
42	C₂×C₄²×C₆₁	C₂×C₄	1	1	yes	characteristic
43	C₂×C₄²×C₆₁	C₂×C₄	1	1	yes	characteristic
44	C₂×C₄²×C₆₁	D₄	1	1	yes	characteristic
45	C₂×C₄²×C₆₁	D₄	1	1	yes	characteristic
46	C₂×C₄²×C₆₁	D₄	1	1	yes	characteristic
47	C₂×C₄²×C₆₁	D₄	1	1	yes	characteristic
48	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
49	#97×C₆₁	—	2	4	no	—
50	#97×C₆₁	—	2	2	no	—
51	#97×C₆₁	—	2	2	no	—
52	#97×C₆₁	C₂×C₄	1	4	yes	complemented
53	#97×C₆₁	C₂×C₄	1	4	yes	complemented
54	C₄×C₈×C₆₁	—	2	4	no	—
55	#95×C₆₁	—	2	1	no	—
56	#95×C₆₁	—	2	1	no	—
57	#95×C₆₁	—	2	1	no	—
58	#95×C₆₁	—	2	1	no	—
59	C₂⁴×C₆₁	—	2	1	no	—
60	C₂×Q₈×C₆₁	—	2	1	no	—
61	C₂×Q₈×C₆₁	—	4	1	no	—
62	C₂×Q₈×C₆₁	—	4	1	no	—
63	C₂×Q₈×C₆₁	C₄²	1	2	yes	—
64	C₂×D₄×C₆₁	—	2	1	no	—
65	C₂×D₄×C₆₁	—	4	1	no	—
66	C₂×D₄×C₆₁	—	4	1	no	—
67	C₂×D₄×C₆₁	C₄²	1	2	yes	—
68	C₂²×C₄×C₆₁	—	2	1	no	—
69	C₂²×C₄×C₆₁	—	2	1	no	—
70	C₂²×C₄×C₆₁	—	2	1	no	—
71	C₂²×C₄×C₆₁	—	4	2	no	—
72	C₂²×C₄×C₆₁	—	4	2	no	—
73	C₂²×C₄×C₆₁	—	4	2	no	—
74	C₂²×C₄×C₆₁	C₂²⋊C₄	1	1	yes	characteristic
75	C₂²×C₄×C₆₁	C₂²⋊C₄	1	1	yes	characteristic
76	C₂²×C₄×C₆₁	C₂²⋊C₄	1	1	yes	characteristic
77	C₂²×C₄×C₆₁	C₂²⋊C₄	1	1	yes	characteristic
78	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
79	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
80	C₂²×C₄×C₆₁	C₂×D₄	1	1	yes	characteristic
81	C₂×C₈×C₆₁	—	2	4	no	—
82	C₂×C₈×C₆₁	—	2	4	no	—
83	C₂×C₈×C₆₁	—	2	4	no	—
84	C₂×C₈×C₆₁	—	2	4	no	—
85	C₂×C₈×C₆₁	—	4	2	no	—
86	C₂×C₈×C₆₁	—	4	2	no	—
87	C₄⋊C₄×C₆₁	—	4	1	no	—
88	C₄⋊C₄×C₆₁	—	4	1	no	—
89	C₄⋊C₄×C₆₁	—	4	2	no	—
90	C₂²⋊C₄×C₆₁	—	2	4	no	—
91	C₂²⋊C₄×C₆₁	—	2	4	no	—
92	C₂²⋊C₄×C₆₁	—	4	2	no	—
93	C₂²⋊C₄×C₆₁	—	4	2	no	—
94	C₂²⋊C₄×C₆₁	—	4	2	no	—
95	C₄²×C₆₁	—	2	2	no	—
96	C₄²×C₆₁	—	2	2	no	—
97	C₄²×C₆₁	—	2	2	no	—
98	C₄²×C₆₁	—	4	1	no	—
99	C₄²×C₆₁	—	4	1	no	—
100	C₄²×C₆₁	—	4	1	no	—
101	C₄²×C₆₁	—	4	2	no	—
102	C₄²×C₆₁	C₂²×C₄	1	2	yes	—
103	C₄²×C₆₁	#41	1	2	yes	—
104	C₂³×C₆₁	—	2	2	no	—
105	C₂³×C₆₁	—	4	1	no	—
106	C₂³×C₆₁	—	4	1	no	—
107	C₂³×C₆₁	—	4	1	no	—
108	C₂³×C₆₁	—	4	1	no	—
109	C₂³×C₆₁	—	4	1	no	—
110	C₂³×C₆₁	—	4	1	no	—
111	C₂³×C₆₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
112	Q₈×C₆₁	—	4	2	no	—
113	Q₈×C₆₁	—	4	2	no	—
114	D₄×C₆₁	—	4	2	no	—
115	D₄×C₆₁	—	4	2	no	—
116	C₂×C₄×C₆₁	—	2	1	no	—
117	C₂×C₄×C₆₁	—	2	1	no	—
118	C₂×C₄×C₆₁	—	2	1	no	—
119	C₂×C₄×C₆₁	—	2	1	no	—
120	C₂×C₄×C₆₁	—	2	1	no	—
121	C₂×C₄×C₆₁	—	2	1	no	—
122	C₂×C₄×C₆₁	—	2	1	no	—
123	C₂×C₄×C₆₁	—	2	1	no	—
124	C₂×C₄×C₆₁	—	2	1	no	—
125	C₂×C₄×C₆₁	—	2	1	no	—
126	C₂×C₄×C₆₁	—	2	1	no	—
127	C₂×C₄×C₆₁	—	2	1	no	—
128	C₂×C₄×C₆₁	—	2	2	no	—
129	C₂×C₄×C₆₁	—	2	1	no	—
130	C₂×C₄×C₆₁	—	2	1	no	—
131	C₂×C₄×C₆₁	—	2	1	no	—
132	C₂×C₄×C₆₁	—	4	1	no	—
133	C₂×C₄×C₆₁	—	4	1	no	—
134	C₂×C₄×C₆₁	—	4	1	no	—
135	C₂×C₄×C₆₁	—	4	1	no	—
136	C₂×C₄×C₆₁	—	4	1	no	—
137	C₂×C₄×C₆₁	—	4	1	no	—
138	C₂×C₄×C₆₁	—	4	1	no	—
139	C₂×C₄×C₆₁	—	4	1	no	—
140	C₂×C₄×C₆₁	—	8	4	no	—
141	C₂×C₄×C₆₁	#100	1	2	yes	—
142	C₂×C₄×C₆₁	#104	1	2	yes	—
143	C₂×C₄×C₆₁	#104	1	2	yes	—
144	C₂×C₄×C₆₁	C₂×C₄²	1	1	yes	characteristic
145	C₂×C₄×C₆₁	#117	1	1	yes	characteristic
146	C₂×C₄×C₆₁	C₄×D₄	1	2	yes	—
147	C₂×C₄×C₆₁	C₄×D₄	1	2	yes	—
148	C₈×C₆₁	—	2	8	no	—
149	C₈×C₆₁	—	4	4	no	—
150	#8226	C₆₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
151	C₂²×C₆₁	—	4	2	no	—
152	C₂²×C₆₁	—	4	2	no	—
153	C₂²×C₆₁	—	4	2	no	—
154	C₂²×C₆₁	—	8	1	no	—
155	C₂²×C₆₁	—	8	1	no	—
156	C₂²×C₆₁	—	8	1	no	—
157	C₂²×C₆₁	—	8	1	no	—
158	C₂²×C₆₁	C₄×C₂²⋊C₄	1	1	yes	characteristic
159	C₂²×C₆₁	C₂×#100	1	1	yes	characteristic
160	C₂²×C₆₁	#413	1	1	yes	characteristic
161	C₂²×C₆₁	C₂×#104	1	1	yes	characteristic
162	C₂²×C₆₁	C₂×#104	1	1	yes	characteristic
163	C₂²×C₆₁	#421	1	1	yes	characteristic
164	C₂²×C₆₁	#421	1	1	yes	characteristic
165	C₄×C₆₁	—	2	1	no	—
166	C₄×C₆₁	—	2	1	no	—
167	C₄×C₆₁	—	2	2	no	—
168	C₄×C₆₁	—	2	2	no	—
169	C₄×C₆₁	—	2	2	no	—
170	C₄×C₆₁	—	2	2	no	—
171	C₄×C₆₁	—	2	2	no	—
172	C₄×C₆₁	—	4	2	no	—
173	C₄×C₆₁	—	4	1	no	—
174	C₄×C₆₁	—	8	1	no	—
175	C₄×C₆₁	—	8	1	no	—
176	C₄×#124	C₂×C₆₁	1	1	yes	characteristic
177	#1745	C₂×C₆₁	1	1	yes	characteristic, complemented
178	C₄×#97	C₂×C₆₁	1	1	yes	characteristic, complemented
179	C₂×#329	C₂×C₆₁	1	2	yes	—
180	#1295	C₂×C₆₁	1	2	yes	complemented
181	C₂×C₆₁	—	8	2	no	—
182	C₂×C₆₁	#1527	1	1	yes	characteristic
183	C₂×C₆₁	#1529	1	1	yes	characteristic
184	C₂×C₆₁	#1530	1	1	yes	characteristic
185	C₂×C₆₁	#1532	1	1	yes	characteristic
186	C₂×C₆₁	C₄×#100	1	1	yes	characteristic
187	C₂×C₆₁	C₄×#104	1	1	yes	characteristic
188	C₂×C₆₁	#1759	1	1	yes	characteristic
189	C₂×#124	C₂²×C₆₁	1	1	yes	characteristic
190	C₂×C₄×Q₈	C₄×C₆₁	1	1	yes	characteristic
191	C₂×C₄×D₄	C₄×C₆₁	1	1	yes	characteristic
192	C₂×#97	—	2	1	no	—
193	C₂×#97	C₂²×C₆₁	1	2	yes	—
194	C₂×#97	C₂²×C₆₁	1	2	yes	—
195	C₂×C₄×C₈	—	2	1	no	—
196	#391	C₄×C₆₁	1	1	yes	characteristic
197	#390	C₄×C₆₁	1	1	yes	characteristic
198	#388	—	2	1	no	—
199	#388	—	2	1	no	—
200	#382	C₂²×C₆₁	1	1	yes	characteristic
201	C₄×C₂²⋊C₄	—	2	1	no	—
202	C₄×C₂²⋊C₄	—	2	1	no	—
203	C₄³	C₂²×C₆₁	1	1	yes	characteristic
204	#336	—	2	1	no	—
205	#336	—	2	1	no	—
206	#329	C₄×C₆₁	1	8	yes	complemented
207	C₆₁	#8226	1	1	yes	characteristic, direct product factor, Sylow
208	C₂²×Q₈	C₂×C₄×C₆₁	1	1	yes	characteristic
209	C₂²×D₄	C₂×C₄×C₆₁	1	1	yes	characteristic
210	C₂³×C₄	—	2	1	no	—
211	C₂²×C₈	—	2	2	no	—
212	C₂²×C₈	—	2	2	no	—
213	#124	—	2	2	no	—
214	#124	C₂×C₄×C₆₁	1	4	yes	—
215	C₄×Q₈	—	4	2	no	—
216	C₄×D₄	—	4	2	no	—
217	C₂×C₄⋊C₄	—	2	1	no	—
218	C₂×C₄⋊C₄	C₂×C₄×C₆₁	1	1	yes	characteristic
219	C₂×C₄⋊C₄	C₂×C₄×C₆₁	1	1	yes	characteristic
220	C₂×C₂²⋊C₄	—	2	1	no	—
221	C₂×C₂²⋊C₄	—	2	1	no	—
222	C₂×C₂²⋊C₄	—	2	1	no	—
223	C₂×C₂²⋊C₄	—	2	1	no	—
224	C₂×C₂²⋊C₄	—	2	1	no	—
225	C₂×C₄²	—	2	1	no	—
226	C₂×C₄²	C₂×C₄×C₆₁	1	1	yes	characteristic
227	C₂×C₄²	C₂×C₄×C₆₁	1	1	yes	characteristic
228	C₂×C₄²	D₄×C₆₁	1	1	yes	characteristic
229	C₂×C₄²	D₄×C₆₁	1	1	yes	characteristic
230	C₂×C₄²	D₄×C₆₁	1	1	yes	characteristic
231	C₂×C₄²	D₄×C₆₁	1	1	yes	characteristic
232	C₂×C₄²	C₂³×C₆₁	1	1	yes	characteristic
233	#97	—	2	4	no	—
234	#97	—	2	2	no	—
235	#97	—	2	2	no	—
236	#97	C₂×C₄×C₆₁	1	4	yes	complemented
237	#97	C₂×C₄×C₆₁	1	4	yes	complemented
238	C₄×C₈	—	2	4	no	—
239	#95	—	2	1	no	—
240	#95	—	2	1	no	—
241	#95	—	2	1	no	—
242	#95	—	2	1	no	—
243	C₂⁴	—	2	1	no	—
244	C₂×Q₈	—	2	1	no	—
245	C₂×Q₈	—	4	1	no	—
246	C₂×Q₈	—	4	1	no	—
247	C₂×Q₈	C₄²×C₆₁	1	2	yes	—
248	C₂×D₄	—	2	1	no	—
249	C₂×D₄	—	4	1	no	—
250	C₂×D₄	—	4	1	no	—
251	C₂×D₄	C₄²×C₆₁	1	2	yes	—
252	C₂²×C₄	—	2	1	no	—
253	C₂²×C₄	—	2	1	no	—
254	C₂²×C₄	—	2	1	no	—
255	C₂²×C₄	—	4	2	no	—
256	C₂²×C₄	—	4	2	no	—
257	C₂²×C₄	—	4	2	no	—
258	C₂²×C₄	C₂²⋊C₄×C₆₁	1	1	yes	characteristic
259	C₂²×C₄	C₂²⋊C₄×C₆₁	1	1	yes	characteristic
260	C₂²×C₄	C₂²⋊C₄×C₆₁	1	1	yes	characteristic
261	C₂²×C₄	C₂²⋊C₄×C₆₁	1	1	yes	characteristic
262	C₂²×C₄	C₂²×C₄×C₆₁	1	1	yes	characteristic
263	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
264	C₂²×C₄	C₂×D₄×C₆₁	1	1	yes	characteristic
265	C₂×C₈	—	2	4	no	—
266	C₂×C₈	—	2	4	no	—
267	C₂×C₈	—	2	4	no	—
268	C₂×C₈	—	2	4	no	—
269	C₂×C₈	—	4	2	no	—
270	C₂×C₈	—	4	2	no	—
271	C₄⋊C₄	—	4	1	no	—
272	C₄⋊C₄	—	4	1	no	—
273	C₄⋊C₄	—	4	2	no	—
274	C₂²⋊C₄	—	2	4	no	—
275	C₂²⋊C₄	—	2	4	no	—
276	C₂²⋊C₄	—	4	2	no	—
277	C₂²⋊C₄	—	4	2	no	—
278	C₂²⋊C₄	—	4	2	no	—
279	C₄²	—	2	2	no	—
280	C₄²	—	2	2	no	—
281	C₄²	—	2	2	no	—
282	C₄²	—	4	1	no	—
283	C₄²	—	4	1	no	—
284	C₄²	—	4	1	no	—
285	C₄²	—	4	2	no	—
286	C₄²	C₂²×C₄×C₆₁	1	2	yes	—
287	C₄²	#41×C₆₁	1	2	yes	—
288	C₂³	—	2	2	no	—
289	C₂³	—	4	1	no	—
290	C₂³	—	4	1	no	—
291	C₂³	—	4	1	no	—
292	C₂³	—	4	1	no	—
293	C₂³	—	4	1	no	—
294	C₂³	—	4	1	no	—
295	C₂³	C₂×C₂²⋊C₄×C₆₁	1	1	yes	characteristic
296	Q₈	—	4	2	no	—
297	Q₈	—	4	2	no	—
298	D₄	—	4	2	no	—
299	D₄	—	4	2	no	—
300	C₂×C₄	—	2	1	no	—
301	C₂×C₄	—	2	1	no	—
302	C₂×C₄	—	2	1	no	—
303	C₂×C₄	—	2	1	no	—
304	C₂×C₄	—	2	1	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	2	2	no	—
313	C₂×C₄	—	2	1	no	—
314	C₂×C₄	—	2	1	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	4	1	no	—
317	C₂×C₄	—	4	1	no	—
318	C₂×C₄	—	4	1	no	—
319	C₂×C₄	—	4	1	no	—
320	C₂×C₄	—	4	1	no	—
321	C₂×C₄	—	4	1	no	—
322	C₂×C₄	—	4	1	no	—
323	C₂×C₄	—	4	1	no	—
324	C₂×C₄	—	8	4	no	—
325	C₂×C₄	#100×C₆₁	1	2	yes	—
326	C₂×C₄	#104×C₆₁	1	2	yes	—
327	C₂×C₄	#104×C₆₁	1	2	yes	—
328	C₂×C₄	C₂×C₄²×C₆₁	1	1	yes	characteristic
329	C₂×C₄	#117×C₆₁	1	1	yes	characteristic
330	C₂×C₄	C₄×D₄×C₆₁	1	2	yes	—
331	C₂×C₄	C₄×D₄×C₆₁	1	2	yes	—
332	C₈	—	2	8	no	—
333	C₈	—	4	4	no	—
334	C₂²	—	4	2	no	—
335	C₂²	—	4	2	no	—
336	C₂²	—	4	2	no	—
337	C₂²	—	8	1	no	—
338	C₂²	—	8	1	no	—
339	C₂²	—	8	1	no	—
340	C₂²	—	8	1	no	—
341	C₂²	C₄×C₂²⋊C₄×C₆₁	1	1	yes	characteristic
342	C₂²	C₂×#100×C₆₁	1	1	yes	characteristic
343	C₂²	C₆₁×#413	1	1	yes	characteristic
344	C₂²	C₂×#104×C₆₁	1	1	yes	characteristic
345	C₂²	C₂×#104×C₆₁	1	1	yes	characteristic
346	C₂²	C₆₁×#421	1	1	yes	characteristic
347	C₂²	C₆₁×#421	1	1	yes	characteristic
348	C₄	—	2	1	no	—
349	C₄	—	2	1	no	—
350	C₄	—	2	2	no	—
351	C₄	—	2	2	no	—
352	C₄	—	2	2	no	—
353	C₄	—	2	2	no	—
354	C₄	—	2	2	no	—
355	C₄	—	4	2	no	—
356	C₄	—	4	1	no	—
357	C₄	—	8	1	no	—
358	C₄	—	8	1	no	—
359	C₂	—	8	2	no	—
360	C₂	C₆₁×#1527	1	1	yes	characteristic
361	C₂	C₆₁×#1529	1	1	yes	characteristic
362	C₂	C₆₁×#1530	1	1	yes	characteristic
363	C₂	C₆₁×#1532	1	1	yes	characteristic
364	C₂	C₄×#100×C₆₁	1	1	yes	characteristic
365	C₂	C₄×#104×C₆₁	1	1	yes	characteristic
366	C₂	C₆₁×#1759	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₆₁	C₂×C₂²⋊C₄
commutator	C₂×C₄	C₂×C₄²×C₆₁
Frattini, cosocle	C₂×C₄²	C₂³×C₆₁
prime radical	C₂²×D₄×C₆₁	C₂×C₄
LCS	G ▷ C₂×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₆₁ ◁ C₄³×C₆₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₆₁×#1745	C₂	semidirect
3. C₄×#97×C₆₁	C₂	semidirect
5. C₆₁×#1295	C₂	semidirect
23. C₆₁×#329	C₄	semidirect
52. #97×C₆₁	C₂×C₄	semidirect
53. #97×C₆₁	C₂×C₄	semidirect
150. #8226	C₆₁	direct (N × H)
177. #1745	C₂×C₆₁	semidirect
178. C₄×#97	C₂×C₆₁	semidirect
180. #1295	C₂×C₆₁	semidirect
206. #329	C₄×C₆₁	semidirect
207. C₆₁	#8226	direct (N × H)
236. #97	C₂×C₄×C₆₁	semidirect
237. #97	C₂×C₄×C₆₁	semidirect

Maximal subgroups

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

subgroup	index
C₄×#124×C₆₁	2
C₆₁×#1745	2
C₄×#97×C₆₁	2
C₂×C₆₁×#329	2
C₆₁×#1295	2
#8226	61

Subgroups — C61×#8226 #29511659

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₁×#8226 #29511659