Subgroups — C₁₃₇×#10148 #46859534

Order 35072.

614 conjugacy classes of subgroups.

The subgroup lattice has 370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3227×C₁₃₇	C₂	1	1	yes	maximal, characteristic, complemented
2	#3151×C₁₃₇	C₂	1	1	yes	maximal, characteristic
3	C₂×#486×C₁₃₇	C₂	1	1	yes	maximal, characteristic, complemented
4	#1997×C₁₃₇	C₂	1	1	yes	maximal, characteristic, complemented
5	#1545×C₁₃₇	C₂	1	1	yes	maximal, characteristic, complemented
6	#1492×C₁₃₇	C₂	1	1	yes	maximal, characteristic, complemented
7	#1278×C₁₃₇	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×AGL(1,ℤ/8)×C₁₃₇	—	2	2	no	—
9	#532×C₁₃₇	C₂²	1	1	yes	characteristic
10	C₂×C₄⋊Q₈×C₁₃₇	C₂²	1	1	yes	characteristic
11	C₂×#127×C₁₃₇	C₂²	1	1	yes	characteristic
12	#498×C₁₃₇	—	2	1	no	—
13	#496×C₁₃₇	—	2	2	no	—
14	#493×C₁₃₇	—	2	1	no	—
15	#492×C₁₃₇	—	2	1	no	—
16	#486×C₁₃₇	—	2	2	no	—
17	#486×C₁₃₇	—	2	1	no	—
18	#486×C₁₃₇	—	2	2	no	—
19	#481×C₁₃₇	—	2	2	no	—
20	#476×C₁₃₇	—	2	2	no	—
21	#431×C₁₃₇	C₂²	1	1	yes	characteristic
22	#423×C₁₃₇	C₂²	1	1	yes	characteristic
23	C₂×#102×C₁₃₇	—	2	2	no	—
24	C₄×M₁₆×C₁₃₇	C₂²	1	1	yes	characteristic
25	C₂×C₄×C₈×C₁₃₇	C₂²	1	1	yes	characteristic
26	#343×C₁₃₇	—	2	2	no	—
27	#331×C₁₃₇	—	2	2	no	—
28	D₄⋊C₈×C₁₃₇	—	2	2	no	—
29	C₂×#41×C₁₃₇	—	2	1	no	—
30	C₂²×Q₈×C₁₃₇	—	2	1	no	—
31	C₂²×D₄×C₁₃₇	—	2	1	no	—
32	C₂²×D₄×C₁₃₇	—	2	1	no	—
33	C₂²×D₄×C₁₃₇	—	2	1	no	—
34	AGL(1,ℤ/8)×C₁₃₇	—	4	4	no	—
35	AGL(1,ℤ/8)×C₁₃₇	—	4	4	no	—
36	C₂×SD₁₆×C₁₃₇	—	2	4	no	—
37	C₂×D₈×C₁₃₇	—	2	4	no	—
38	C₂×M₁₆×C₁₃₇	—	2	1	no	—
39	C₂×M₁₆×C₁₃₇	D₄	1	2	yes	—
40	C₂²×C₈×C₁₃₇	—	2	1	no	—
41	C₄⋊Q₈×C₁₃₇	—	2	1	no	—
42	C₄⋊Q₈×C₁₃₇	—	2	1	no	—
43	C₄⋊Q₈×C₁₃₇	—	2	1	no	—
44	C₄⋊Q₈×C₁₃₇	—	2	1	no	—
45	C₄⋊Q₈×C₁₃₇	D₄	1	1	yes	characteristic
46	#127×C₁₃₇	—	2	1	no	—
47	#127×C₁₃₇	—	2	1	no	—
48	#127×C₁₃₇	—	2	1	no	—
49	#127×C₁₃₇	D₄	1	1	yes	characteristic
50	#127×C₁₃₇	D₄	1	2	yes	—
51	#124×C₁₃₇	—	2	1	no	—
52	#121×C₁₃₇	—	2	1	no	—
53	#121×C₁₃₇	—	2	1	no	—
54	C₄×D₄×C₁₃₇	—	2	1	no	—
55	C₄×D₄×C₁₃₇	—	2	1	no	—
56	C₂×C₄⋊C₄×C₁₃₇	—	2	1	no	—
57	C₂×C₄⋊C₄×C₁₃₇	D₄	1	2	yes	—
58	C₂×C₄²×C₁₃₇	C₂³	1	1	yes	characteristic
59	#106×C₁₃₇	—	2	4	no	—
60	C₄⋊C₈×C₁₃₇	—	2	1	no	—
61	C₄⋊C₈×C₁₃₇	—	2	1	no	—
62	C₄⋊C₈×C₁₃₇	D₄	1	2	yes	—
63	#102×C₁₃₇	—	2	8	no	—
64	#102×C₁₃₇	—	2	4	no	—
65	C₂²⋊C₈×C₁₃₇	—	2	1	no	—
66	#97×C₁₃₇	—	2	1	no	—
67	C₄×C₈×C₁₃₇	—	2	1	no	—
68	C₄×C₈×C₁₃₇	—	2	1	no	—
69	C₄×C₈×C₁₃₇	—	2	1	no	—
70	C₄×C₈×C₁₃₇	D₄	1	2	yes	—
71	C₂⁴×C₁₃₇	—	4	1	no	—
72	#41×C₁₃₇	—	4	2	no	—
73	#41×C₁₃₇	—	4	2	no	—
74	C₂×Q₈×C₁₃₇	—	2	1	no	—
75	C₂×Q₈×C₁₃₇	—	4	1	no	—
76	C₂×Q₈×C₁₃₇	—	4	1	no	—
77	C₂×Q₈×C₁₃₇	—	8	2	no	—
78	C₂×D₄×C₁₃₇	—	2	1	no	—
79	C₂×D₄×C₁₃₇	—	2	2	no	—
80	C₂×D₄×C₁₃₇	—	2	1	no	—
81	C₂×D₄×C₁₃₇	—	2	2	no	—
82	C₂×D₄×C₁₃₇	—	2	1	no	—
83	C₂×D₄×C₁₃₇	—	2	2	no	—
84	C₂×D₄×C₁₃₇	—	4	4	no	—
85	C₂×D₄×C₁₃₇	—	4	1	no	—
86	C₂×D₄×C₁₃₇	—	4	1	no	—
87	C₂×D₄×C₁₃₇	—	4	1	no	—
88	C₂×D₄×C₁₃₇	—	4	1	no	—
89	C₂×D₄×C₁₃₇	—	4	2	no	—
90	C₂×D₄×C₁₃₇	—	4	2	no	—
91	C₂×D₄×C₁₃₇	—	8	2	no	—
92	C₂²×C₄×C₁₃₇	—	2	2	no	—
93	C₂²×C₄×C₁₃₇	—	4	1	no	—
94	C₂²×C₄×C₁₃₇	C₂×D₄	1	1	yes	characteristic
95	C₂²×C₄×C₁₃₇	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₁₃₇	#41	1	1	yes	characteristic
97	SD₁₆×C₁₃₇	—	4	8	no	—
98	D₈×C₁₃₇	—	4	8	no	—
99	M₁₆×C₁₃₇	—	2	2	no	—
100	M₁₆×C₁₃₇	—	4	2	no	—
101	M₁₆×C₁₃₇	SD₁₆	1	4	yes	—
102	C₂×C₈×C₁₃₇	—	2	2	no	—
103	C₂×C₈×C₁₃₇	—	2	2	no	—
104	C₂×C₈×C₁₃₇	—	2	2	no	—
105	C₂×C₈×C₁₃₇	—	4	2	no	—
106	C₂×C₈×C₁₃₇	—	4	1	no	—
107	C₄⋊C₄×C₁₃₇	—	2	2	no	—
108	C₄⋊C₄×C₁₃₇	—	2	2	no	—
109	C₄⋊C₄×C₁₃₇	—	2	1	no	—
110	C₄⋊C₄×C₁₃₇	—	2	1	no	—
111	C₄⋊C₄×C₁₃₇	—	4	1	no	—
112	C₄⋊C₄×C₁₃₇	—	4	1	no	—
113	C₂²⋊C₄×C₁₃₇	—	4	1	no	—
114	C₂²⋊C₄×C₁₃₇	—	4	1	no	—
115	C₄²×C₁₃₇	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₁₃₇	C₂×D₄	1	1	yes	characteristic
117	C₄²×C₁₃₇	C₂×D₄	1	1	yes	characteristic
118	C₄²×C₁₃₇	C₂×D₄	1	1	yes	characteristic
119	C₂³×C₁₃₇	—	4	1	no	—
120	C₂³×C₁₃₇	—	4	2	no	—
121	C₂³×C₁₃₇	—	8	2	no	—
122	C₂³×C₁₃₇	—	8	2	no	—
123	C₂³×C₁₃₇	—	8	2	no	—
124	C₂³×C₁₃₇	#121	1	1	yes	characteristic
125	Q₈×C₁₃₇	—	4	2	no	—
126	Q₈×C₁₃₇	—	8	2	no	—
127	Q₈×C₁₃₇	—	8	2	no	—
128	D₄×C₁₃₇	—	4	4	no	—
129	D₄×C₁₃₇	—	4	2	no	—
130	D₄×C₁₃₇	—	4	4	no	—
131	D₄×C₁₃₇	—	4	2	no	—
132	D₄×C₁₃₇	—	4	2	no	—
133	D₄×C₁₃₇	—	8	2	no	—
134	D₄×C₁₃₇	—	8	2	no	—
135	D₄×C₁₃₇	—	8	2	no	—
136	D₄×C₁₃₇	—	8	2	no	—
137	D₄×C₁₃₇	—	8	1	no	—
138	D₄×C₁₃₇	—	8	1	no	—
139	C₂×C₄×C₁₃₇	—	2	2	no	—
140	C₂×C₄×C₁₃₇	—	2	2	no	—
141	C₂×C₄×C₁₃₇	—	4	1	no	—
142	C₂×C₄×C₁₃₇	—	4	2	no	—
143	C₂×C₄×C₁₃₇	—	8	1	no	—
144	C₂×C₄×C₁₃₇	—	8	1	no	—
145	C₂×C₄×C₁₃₇	—	8	2	no	—
146	C₂×C₄×C₁₃₇	#120	1	1	yes	characteristic
147	C₂×C₄×C₁₃₇	#120	1	1	yes	characteristic
148	C₂×C₄×C₁₃₇	#120	1	1	yes	characteristic
149	C₂×C₄×C₁₃₇	#121	1	1	yes	characteristic
150	C₂×C₄×C₁₃₇	#121	1	1	yes	characteristic
151	C₂×C₄×C₁₃₇	#127	1	1	yes	characteristic
152	C₂×C₄×C₁₃₇	C₂×SD₁₆	1	2	yes	—
153	C₂×C₄×C₁₃₇	AGL(1,ℤ/8)	1	2	yes	—
154	C₈×C₁₃₇	—	2	4	no	—
155	C₈×C₁₃₇	—	4	2	no	—
156	C₈×C₁₃₇	—	4	2	no	—
157	C₈×C₁₃₇	—	8	1	no	—
158	C₂²×C₁₃₇	—	2	1	no	—
159	C₂²×C₁₃₇	—	2	1	no	—
160	C₂²×C₁₃₇	—	8	2	no	—
161	C₂²×C₁₃₇	—	8	1	no	—
162	C₂²×C₁₃₇	—	8	1	no	—
163	C₂²×C₁₃₇	—	8	2	no	—
164	C₂²×C₁₃₇	—	8	1	no	—
165	C₂²×C₁₃₇	—	8	2	no	—
166	C₂²×C₁₃₇	—	16	4	no	—
167	C₂²×C₁₃₇	#392	1	1	yes	characteristic
168	C₂²×C₁₃₇	#460	1	2	yes	—
169	C₄×C₁₃₇	—	2	1	no	—
170	C₄×C₁₃₇	—	2	1	no	—
171	C₄×C₁₃₇	—	8	1	no	—
172	C₄×C₁₃₇	—	8	2	no	—
173	C₄×C₁₃₇	#450	1	2	yes	—
174	C₄×C₁₃₇	#454	1	2	yes	—
175	C₄×C₁₃₇	#472	1	2	yes	—
176	C₄×C₁₃₇	#492	1	1	yes	characteristic
177	C₄×C₁₃₇	#496	1	1	yes	characteristic
178	C₂×C₁₃₇	—	2	2	no	—
179	C₂×C₁₃₇	—	16	1	no	—
180	C₂×C₁₃₇	—	16	2	no	—
181	C₂×C₁₃₇	#2003	1	1	yes	characteristic
182	C₂×C₁₃₇	#2014	1	1	yes	characteristic
183	C₂×C₁₃₇	#2018	1	1	yes	characteristic
184	#10148	C₁₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
185	C₁₃₇	#10148	1	1	yes	characteristic, direct product factor, Sylow
186	#3227	C₂×C₁₃₇	1	1	yes	characteristic, complemented
187	#3151	C₂×C₁₃₇	1	1	yes	characteristic
188	C₂×#486	C₂×C₁₃₇	1	1	yes	characteristic, complemented
189	#1997	C₂×C₁₃₇	1	1	yes	characteristic, complemented
190	#1545	C₂×C₁₃₇	1	1	yes	characteristic, complemented
191	#1492	C₂×C₁₃₇	1	1	yes	characteristic, complemented
192	#1278	C₂×C₁₃₇	1	1	yes	characteristic, complemented
193	C₂×AGL(1,ℤ/8)	—	2	2	no	—
194	#532	C₂²×C₁₃₇	1	1	yes	characteristic
195	C₂×C₄⋊Q₈	C₂²×C₁₃₇	1	1	yes	characteristic
196	C₂×#127	C₂²×C₁₃₇	1	1	yes	characteristic
197	#498	—	2	1	no	—
198	#496	—	2	2	no	—
199	#493	—	2	1	no	—
200	#492	—	2	1	no	—
201	#486	—	2	2	no	—
202	#486	—	2	1	no	—
203	#486	—	2	2	no	—
204	#481	—	2	2	no	—
205	#476	—	2	2	no	—
206	#431	C₂²×C₁₃₇	1	1	yes	characteristic
207	#423	C₂²×C₁₃₇	1	1	yes	characteristic
208	C₂×#102	—	2	2	no	—
209	C₄×M₁₆	C₂²×C₁₃₇	1	1	yes	characteristic
210	C₂×C₄×C₈	C₂²×C₁₃₇	1	1	yes	characteristic
211	#343	—	2	2	no	—
212	#331	—	2	2	no	—
213	D₄⋊C₈	—	2	2	no	—
214	C₂×#41	—	2	1	no	—
215	C₂²×Q₈	—	2	1	no	—
216	C₂²×D₄	—	2	1	no	—
217	C₂²×D₄	—	2	1	no	—
218	C₂²×D₄	—	2	1	no	—
219	AGL(1,ℤ/8)	—	4	4	no	—
220	AGL(1,ℤ/8)	—	4	4	no	—
221	C₂×SD₁₆	—	2	4	no	—
222	C₂×D₈	—	2	4	no	—
223	C₂×M₁₆	—	2	1	no	—
224	C₂×M₁₆	D₄×C₁₃₇	1	2	yes	—
225	C₂²×C₈	—	2	1	no	—
226	C₄⋊Q₈	—	2	1	no	—
227	C₄⋊Q₈	—	2	1	no	—
228	C₄⋊Q₈	—	2	1	no	—
229	C₄⋊Q₈	—	2	1	no	—
230	C₄⋊Q₈	D₄×C₁₃₇	1	1	yes	characteristic
231	#127	—	2	1	no	—
232	#127	—	2	1	no	—
233	#127	—	2	1	no	—
234	#127	D₄×C₁₃₇	1	2	yes	—
235	#127	D₄×C₁₃₇	1	1	yes	characteristic
236	#124	—	2	1	no	—
237	#121	—	2	1	no	—
238	#121	—	2	1	no	—
239	C₄×D₄	—	2	1	no	—
240	C₄×D₄	—	2	1	no	—
241	C₂×C₄⋊C₄	—	2	1	no	—
242	C₂×C₄⋊C₄	D₄×C₁₃₇	1	2	yes	—
243	C₂×C₄²	C₂³×C₁₃₇	1	1	yes	characteristic
244	#106	—	2	4	no	—
245	C₄⋊C₈	—	2	1	no	—
246	C₄⋊C₈	—	2	1	no	—
247	C₄⋊C₈	D₄×C₁₃₇	1	2	yes	—
248	#102	—	2	8	no	—
249	#102	—	2	4	no	—
250	C₂²⋊C₈	—	2	1	no	—
251	#97	—	2	1	no	—
252	C₄×C₈	—	2	1	no	—
253	C₄×C₈	—	2	1	no	—
254	C₄×C₈	—	2	1	no	—
255	C₄×C₈	D₄×C₁₃₇	1	2	yes	—
256	C₂⁴	—	4	1	no	—
257	#41	—	4	2	no	—
258	#41	—	4	2	no	—
259	C₂×Q₈	—	2	1	no	—
260	C₂×Q₈	—	4	1	no	—
261	C₂×Q₈	—	4	1	no	—
262	C₂×Q₈	—	8	2	no	—
263	C₂×D₄	—	2	1	no	—
264	C₂×D₄	—	2	2	no	—
265	C₂×D₄	—	2	1	no	—
266	C₂×D₄	—	2	2	no	—
267	C₂×D₄	—	2	1	no	—
268	C₂×D₄	—	2	2	no	—
269	C₂×D₄	—	4	4	no	—
270	C₂×D₄	—	4	1	no	—
271	C₂×D₄	—	4	1	no	—
272	C₂×D₄	—	4	1	no	—
273	C₂×D₄	—	4	1	no	—
274	C₂×D₄	—	4	2	no	—
275	C₂×D₄	—	4	2	no	—
276	C₂×D₄	—	8	2	no	—
277	C₂²×C₄	—	2	2	no	—
278	C₂²×C₄	—	4	1	no	—
279	C₂²×C₄	C₂×D₄×C₁₃₇	1	1	yes	characteristic
280	C₂²×C₄	C₂×D₄×C₁₃₇	1	1	yes	characteristic
281	C₂²×C₄	#41×C₁₃₇	1	1	yes	characteristic
282	SD₁₆	—	4	8	no	—
283	D₈	—	4	8	no	—
284	M₁₆	—	2	2	no	—
285	M₁₆	—	4	2	no	—
286	M₁₆	SD₁₆×C₁₃₇	1	4	yes	—
287	C₂×C₈	—	2	2	no	—
288	C₂×C₈	—	2	2	no	—
289	C₂×C₈	—	2	2	no	—
290	C₂×C₈	—	4	2	no	—
291	C₂×C₈	—	4	1	no	—
292	C₄⋊C₄	—	2	2	no	—
293	C₄⋊C₄	—	2	2	no	—
294	C₄⋊C₄	—	2	1	no	—
295	C₄⋊C₄	—	2	1	no	—
296	C₄⋊C₄	—	4	1	no	—
297	C₄⋊C₄	—	4	1	no	—
298	C₂²⋊C₄	—	4	1	no	—
299	C₂²⋊C₄	—	4	1	no	—
300	C₄²	C₂×D₄×C₁₃₇	1	1	yes	characteristic
301	C₄²	C₂×D₄×C₁₃₇	1	1	yes	characteristic
302	C₄²	C₂×D₄×C₁₃₇	1	1	yes	characteristic
303	C₄²	C₂×D₄×C₁₃₇	1	1	yes	characteristic
304	C₂³	—	4	1	no	—
305	C₂³	—	4	2	no	—
306	C₂³	—	8	2	no	—
307	C₂³	—	8	2	no	—
308	C₂³	—	8	2	no	—
309	C₂³	#121×C₁₃₇	1	1	yes	characteristic
310	Q₈	—	4	2	no	—
311	Q₈	—	8	2	no	—
312	Q₈	—	8	2	no	—
313	D₄	—	4	4	no	—
314	D₄	—	4	2	no	—
315	D₄	—	4	4	no	—
316	D₄	—	4	2	no	—
317	D₄	—	4	2	no	—
318	D₄	—	8	2	no	—
319	D₄	—	8	2	no	—
320	D₄	—	8	2	no	—
321	D₄	—	8	2	no	—
322	D₄	—	8	1	no	—
323	D₄	—	8	1	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	4	1	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	—	8	1	no	—
329	C₂×C₄	—	8	1	no	—
330	C₂×C₄	—	8	2	no	—
331	C₂×C₄	#120×C₁₃₇	1	1	yes	characteristic
332	C₂×C₄	#120×C₁₃₇	1	1	yes	characteristic
333	C₂×C₄	#120×C₁₃₇	1	1	yes	characteristic
334	C₂×C₄	#121×C₁₃₇	1	1	yes	characteristic
335	C₂×C₄	#121×C₁₃₇	1	1	yes	characteristic
336	C₂×C₄	#127×C₁₃₇	1	1	yes	characteristic
337	C₂×C₄	C₂×SD₁₆×C₁₃₇	1	2	yes	—
338	C₂×C₄	AGL(1,ℤ/8)×C₁₃₇	1	2	yes	—
339	C₈	—	2	4	no	—
340	C₈	—	4	2	no	—
341	C₈	—	4	2	no	—
342	C₈	—	8	1	no	—
343	C₂²	—	2	1	no	—
344	C₂²	—	2	1	no	—
345	C₂²	—	8	1	no	—
346	C₂²	—	8	2	no	—
347	C₂²	—	8	1	no	—
348	C₂²	—	8	2	no	—
349	C₂²	—	8	2	no	—
350	C₂²	—	8	1	no	—
351	C₂²	—	16	4	no	—
352	C₂²	#392×C₁₃₇	1	1	yes	characteristic
353	C₂²	#460×C₁₃₇	1	2	yes	—
354	C₄	—	2	1	no	—
355	C₄	—	2	1	no	—
356	C₄	—	8	1	no	—
357	C₄	—	8	2	no	—
358	C₄	#450×C₁₃₇	1	2	yes	—
359	C₄	#454×C₁₃₇	1	2	yes	—
360	C₄	#472×C₁₃₇	1	2	yes	—
361	C₄	#492×C₁₃₇	1	1	yes	characteristic
362	C₄	#496×C₁₃₇	1	1	yes	characteristic
363	C₂	—	2	2	no	—
364	C₂	—	16	2	no	—
365	C₂	—	16	1	no	—
366	C₂	#2003×C₁₃₇	1	1	yes	characteristic
367	C₂	#2014×C₁₃₇	1	1	yes	characteristic
368	C₂	#2018×C₁₃₇	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃₇	#392
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₁₃₇
prime radical	#3151×C₁₃₇	C₂
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃₇ ◁ C₂×C₄²×C₁₃₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. #3227×C₁₃₇	C₂	semidirect
3. C₂×#486×C₁₃₇	C₂	semidirect
4. #1997×C₁₃₇	C₂	semidirect
5. #1545×C₁₃₇	C₂	semidirect
6. #1492×C₁₃₇	C₂	semidirect
7. #1278×C₁₃₇	C₂	semidirect
184. #10148	C₁₃₇	direct (N × H)
185. C₁₃₇	#10148	direct (N × H)
186. #3227	C₂×C₁₃₇	semidirect
188. C₂×#486	C₂×C₁₃₇	semidirect
189. #1997	C₂×C₁₃₇	semidirect
190. #1545	C₂×C₁₃₇	semidirect
191. #1492	C₂×C₁₃₇	semidirect
192. #1278	C₂×C₁₃₇	semidirect

Maximal subgroups

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

subgroup	index
#3227×C₁₃₇	2
#3151×C₁₃₇	2
C₂×#486×C₁₃₇	2
#1997×C₁₃₇	2
#1545×C₁₃₇	2
#1492×C₁₃₇	2
#1278×C₁₃₇	2
#10148	137

Subgroups — C137×#10148 #46859534

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₇×#10148 #46859534