Subgroups — C₂²×#15688970 #26374450

Order 12032.

9534 conjugacy classes of subgroups.

The subgroup lattice has 318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁴×C₄×D₄₇	C₂	1	1	yes	maximal, characteristic
2	C₂³×(C₂×D₄₇)⋊C₄	C₂	1	2	yes	maximal
3	C₂³×C₄×Dic₄₇	C₂	1	2	yes	maximal, complemented
4	C₂×#15688970	C₂	1	24	yes	maximal, direct product factor
5	C₂²×C₄₇⋊#95	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×#95×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂⁵×D₄₇	C₂²	1	1	yes	characteristic
8	C₂⁴×Dic₄₇	C₂²	1	2	yes	—
9	C₂⁴×Dic₄₇	C₂²	1	1	yes	characteristic
10	C₂³×C₄×D₄₇	—	2	16	no	—
11	C₂³×C₄×D₄₇	C₄	1	16	yes	complemented
12	C₂³×C₄×D₄₇	C₂²	1	12	yes	—
13	C₂²×(C₂×D₄₇)⋊C₄	C₄	1	32	yes	complemented
14	C₂²×(C₂×D₄₇)⋊C₄	C₂²	1	24	yes	—
15	C₂²×C₄×Dic₄₇	—	2	16	no	—
16	C₂²×C₄×Dic₄₇	C₂²	1	24	yes	complemented
17	#15688970	C₂²	1	64	yes	direct product factor
18	C₂×C₄₇⋊#95	C₂²	1	12	yes	complemented
19	C₂⁴×C₄×C₄₇	C₂²	1	1	yes	characteristic
20	C₂⁴×C₄×C₄₇	C₂²	1	2	yes	—
21	C₂×#95×C₄₇	C₂²	1	12	yes	complemented
22	C₂⁴×D₄₇	—	2	8	no	—
23	C₂⁴×D₄₇	—	2	4	no	—
24	C₂⁴×D₄₇	—	2	4	no	—
25	C₂⁴×D₄₇	C₂×C₄	1	16	yes	—
26	C₂⁴×D₄₇	C₂×C₄	1	8	yes	—
27	C₂⁴×D₄₇	C₂³	1	6	yes	—
28	C₂³×Dic₄₇	—	2	8	no	—
29	C₂³×Dic₄₇	—	2	8	no	—
30	C₂³×Dic₄₇	C₂×C₄	1	8	yes	—
31	C₂³×Dic₄₇	C₂×C₄	1	16	yes	complemented
32	C₂³×Dic₄₇	D₄	1	16	yes	—
33	C₂³×Dic₄₇	C₂³	1	12	yes	—
34	C₂³×Dic₄₇	C₂³	1	6	yes	—
35	C₂²×C₄×D₄₇	—	2	128	no	—
36	C₂²×C₄×D₄₇	—	2	96	no	—
37	C₂²×C₄×D₄₇	C₂×C₄	1	96	yes	complemented
38	C₂²×C₄×D₄₇	C₂³	1	16	yes	—
39	C₂×(C₂×D₄₇)⋊C₄	C₂×C₄	1	192	yes	complemented
40	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	32	yes	—
41	C₂×C₄×Dic₄₇	—	2	96	no	—
42	C₂×C₄×Dic₄₇	C₂³	1	32	yes	complemented
43	C₄₇⋊#95	C₂³	1	16	yes	complemented
44	C₂⁵×C₄₇	C₂³	1	1	yes	characteristic
45	C₂³×C₄×C₄₇	—	2	8	no	—
46	C₂³×C₄×C₄₇	—	2	8	no	—
47	C₂³×C₄×C₄₇	—	2	8	no	—
48	C₂³×C₄×C₄₇	C₂×C₄	1	8	yes	—
49	C₂³×C₄×C₄₇	C₂×C₄	1	16	yes	complemented
50	C₂³×C₄×C₄₇	C₂³	1	6	yes	—
51	C₂³×C₄×C₄₇	C₂³	1	12	yes	—
52	#95×C₄₇	C₂³	1	16	yes	complemented
53	C₂⁴×C₄₇	C₂²×C₄	1	4	yes	—
54	C₂⁴×C₄₇	C₂²×C₄	1	8	yes	—
55	C₂⁴×C₄₇	C₂×D₄	1	8	yes	—
56	C₂⁴×C₄₇	#41	1	4	yes	—
57	C₂⁴×C₄₇	#41	1	4	yes	—
58	C₂⁴×C₄₇	C₂⁴	1	3	yes	—
59	C₂³×D₄₇	—	2	32	no	—
60	C₂³×D₄₇	—	2	32	no	—
61	C₂³×D₄₇	—	2	64	no	—
62	C₂³×D₄₇	—	2	64	no	—
63	C₂³×D₄₇	—	2	24	no	—
64	C₂³×D₄₇	—	2	12	no	—
65	C₂³×D₄₇	—	2	12	no	—
66	C₂³×D₄₇	C₄²	1	64	yes	complemented
67	C₂³×D₄₇	C₂²×C₄	1	48	yes	—
68	C₂³×D₄₇	C₂²×C₄	1	24	yes	—
69	C₂³×D₄₇	C₂⁴	1	4	yes	—
70	C₂²×C₄×C₄₇	—	2	32	no	—
71	C₂²×C₄×C₄₇	—	2	64	no	—
72	C₂²×C₄×C₄₇	—	2	24	no	—
73	C₂²×C₄×C₄₇	—	2	24	no	—
74	C₂²×C₄×C₄₇	—	2	24	no	—
75	C₂²×C₄×C₄₇	C₂²×C₄	1	24	yes	—
76	C₂²×C₄×C₄₇	C₂²×C₄	1	48	yes	complemented
77	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
78	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
79	C₂²×Dic₄₇	—	2	64	no	—
80	C₂²×Dic₄₇	—	2	24	no	—
81	C₂²×Dic₄₇	—	2	24	no	—
82	C₂²×Dic₄₇	C₂²⋊C₄	1	64	yes	complemented
83	C₂²×Dic₄₇	C₂²×C₄	1	24	yes	—
84	C₂²×Dic₄₇	C₂²×C₄	1	48	yes	complemented
85	C₂²×Dic₄₇	C₂×D₄	1	48	yes	—
86	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
87	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
88	C₂×C₄×D₄₇	—	2	384	no	—
89	C₂×C₄×D₄₇	—	2	64	no	—
90	C₂×C₄×D₄₇	C₂²×C₄	1	64	yes	complemented
91	(C₂×D₄₇)⋊C₄	C₂²×C₄	1	128	yes	complemented
92	C₄×Dic₄₇	—	2	64	no	—
93	C₂³×C₄₇	C₂×C₄²	1	16	yes	—
94	C₂³×C₄₇	C₂×C₂²⋊C₄	1	16	yes	—
95	C₂³×C₄₇	#117	1	16	yes	—
96	C₂³×C₄₇	C₄×D₄	1	32	yes	—
97	C₂³×C₄₇	C₄×D₄	1	32	yes	—
98	C₂³×C₄₇	C₂³×C₄	1	6	yes	—
99	C₂³×C₄₇	C₂³×C₄	1	12	yes	—
100	C₂³×C₄₇	C₂²×D₄	1	12	yes	—
101	C₂³×C₄₇	C₂×#41	1	6	yes	—
102	C₂³×C₄₇	C₂×#41	1	6	yes	—
103	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
104	C₂²×D₄₇	—	2	48	no	—
105	C₂²×D₄₇	—	2	48	no	—
106	C₂²×D₄₇	—	2	96	no	—
107	C₂²×D₄₇	—	2	96	no	—
108	C₂²×D₄₇	—	2	8	no	—
109	C₂²×D₄₇	—	2	4	no	—
110	C₂²×D₄₇	—	2	4	no	—
111	C₂²×D₄₇	—	2	256	no	—
112	C₂²×D₄₇	C₂×C₄²	1	96	yes	complemented
113	C₂²×D₄₇	C₂³×C₄	1	16	yes	—
114	C₂²×D₄₇	C₂³×C₄	1	8	yes	—
115	C₂×C₄×C₄₇	—	2	48	no	—
116	C₂×C₄×C₄₇	—	2	96	no	—
117	C₂×C₄×C₄₇	—	2	8	no	—
118	C₂×C₄×C₄₇	—	2	8	no	—
119	C₂×C₄×C₄₇	—	2	8	no	—
120	C₂×C₄×C₄₇	C₂³×C₄	1	8	yes	—
121	C₂×C₄×C₄₇	C₂³×C₄	1	16	yes	complemented
122	C₂×Dic₄₇	—	2	96	no	—
123	C₂×Dic₄₇	—	2	8	no	—
124	C₂×Dic₄₇	—	2	8	no	—
125	C₂×Dic₄₇	C₂×C₂²⋊C₄	1	96	yes	complemented
126	C₂×Dic₄₇	C₂³×C₄	1	8	yes	—
127	C₂×Dic₄₇	C₂³×C₄	1	16	yes	complemented
128	C₂×Dic₄₇	C₂²×D₄	1	16	yes	—
129	C₄×D₄₇	—	2	128	no	—
130	C₂²×C₄×C₂²⋊C₄	—	47	1	no	maximal, Sylow
131	C₂²×C₄₇	C₄×C₂²⋊C₄	1	64	yes	complemented
132	C₂²×C₄₇	C₂²×C₄²	1	12	yes	—
133	C₂²×C₄₇	C₂²×C₂²⋊C₄	1	12	yes	—
134	C₂²×C₄₇	C₂×#117	1	12	yes	—
135	C₂²×C₄₇	C₂×C₄×D₄	1	24	yes	—
136	C₂²×C₄₇	C₂×C₄×D₄	1	24	yes	—
137	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
138	C₂²×C₄₇	C₂⁴×C₄	1	2	yes	—
139	C₂²×C₄₇	C₂³×D₄	1	2	yes	—
140	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
141	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
142	C₂×D₄₇	—	2	8	no	—
143	C₂×D₄₇	—	2	8	no	—
144	C₂×D₄₇	—	2	16	no	—
145	C₂×D₄₇	—	2	16	no	—
146	C₂×D₄₇	—	2	192	no	—
147	C₂×D₄₇	C₂²×C₄²	1	16	yes	complemented
148	C₄×C₄₇	—	2	8	no	—
149	C₄×C₄₇	—	2	16	no	—
150	Dic₄₇	—	2	16	no	—
151	Dic₄₇	C₂²×C₂²⋊C₄	1	16	yes	complemented
152	C₂⁵×C₄	—	47	1	no	—
153	C₂³×C₂²⋊C₄	—	47	2	no	—
154	C₂³×C₄²	—	47	2	no	—
155	C₂×C₄×C₂²⋊C₄	—	47	24	no	—
156	C₂²×#95	—	47	1	no	—
157	C₂²×#95	D₄₇	1	1	yes	characteristic, complemented
158	C₂×C₄₇	C₂×C₄×C₂²⋊C₄	1	24	yes	complemented
159	C₂×C₄₇	C₂³×C₄²	1	1	yes	characteristic
160	C₂×C₄₇	C₂³×C₂²⋊C₄	1	1	yes	characteristic
161	C₂×C₄₇	C₂²×#117	1	1	yes	characteristic
162	C₂×C₄₇	C₂²×C₄×D₄	1	2	yes	—
163	C₂×C₄₇	C₂²×C₄×D₄	1	2	yes	—
164	D₄₇	—	2	16	no	—
165	C₂⁶	—	47	1	no	—
166	C₂⁴×C₄	—	47	1	no	—
167	C₂⁴×C₄	—	47	2	no	—
168	C₂⁴×C₄	—	47	16	no	—
169	C₂⁴×C₄	—	47	12	no	—
170	C₂⁴×C₄	—	94	16	no	—
171	C₂⁴×C₄	C₂×D₄₇	1	1	yes	characteristic
172	C₂⁴×C₄	C₂×D₄₇	1	2	yes	—
173	C₂²×C₂²⋊C₄	—	47	32	no	—
174	C₂²×C₂²⋊C₄	—	47	24	no	—
175	C₂²×C₄²	—	47	24	no	—
176	C₂²×C₄²	—	94	16	no	—
177	C₄×C₂²⋊C₄	—	47	64	no	—
178	C₂×#95	—	47	12	no	—
179	C₂×#95	C₂×D₄₇	1	12	yes	complemented
180	C₄₇	C₂²×C₄×C₂²⋊C₄	1	1	yes	characteristic, complemented, Sylow
181	C₂⁵	—	47	16	no	—
182	C₂⁵	—	47	8	no	—
183	C₂⁵	—	47	6	no	—
184	C₂⁵	—	94	8	no	—
185	C₂⁵	—	94	4	no	—
186	C₂⁵	—	94	4	no	—
187	C₂⁵	C₂²×D₄₇	1	1	yes	characteristic
188	C₂³×C₄	—	2	8	no	—
189	C₂³×C₄	—	2	8	no	—
190	C₂³×C₄	—	2	8	no	—
191	C₂³×C₄	—	47	8	no	—
192	C₂³×C₄	—	47	16	no	—
193	C₂³×C₄	—	47	6	no	—
194	C₂³×C₄	—	47	16	no	—
195	C₂³×C₄	—	47	12	no	—
196	C₂³×C₄	—	47	96	no	—
197	C₂³×C₄	—	47	16	no	—
198	C₂³×C₄	—	94	128	no	—
199	C₂³×C₄	—	94	96	no	—
200	C₂³×C₄	—	94	8	no	—
201	C₂³×C₄	—	94	8	no	—
202	C₂³×C₄	C₄×D₄₇	1	8	yes	—
203	C₂³×C₄	C₄×D₄₇	1	16	yes	complemented
204	C₂³×C₄	C₂²×D₄₇	1	6	yes	—
205	C₂³×C₄	C₂²×D₄₇	1	12	yes	—
206	C₂×C₂²⋊C₄	—	47	192	no	—
207	C₂×C₂²⋊C₄	—	47	32	no	—
208	C₂×C₄²	—	47	32	no	—
209	C₂×C₄²	—	94	96	no	—
210	#95	—	47	16	no	—
211	#95	C₂²×D₄₇	1	16	yes	complemented
212	C₂⁴	—	47	64	no	—
213	C₂⁴	—	47	48	no	—
214	C₂⁴	—	47	24	no	—
215	C₂⁴	—	47	4	no	—
216	C₂⁴	—	94	32	no	—
217	C₂⁴	—	94	32	no	—
218	C₂⁴	—	94	64	no	—
219	C₂⁴	—	94	64	no	—
220	C₂⁴	—	94	24	no	—
221	C₂⁴	—	94	12	no	—
222	C₂⁴	—	94	12	no	—
223	C₂⁴	C₂×C₄×D₄₇	1	4	yes	—
224	C₂⁴	C₂×C₄×D₄₇	1	8	yes	—
225	C₂⁴	D₄×D₄₇	1	8	yes	—
226	C₂⁴	#10625352	1	4	yes	—
227	C₂⁴	#10625354	1	4	yes	—
228	C₂⁴	C₂³×D₄₇	1	3	yes	—
229	C₂²×C₄	—	2	32	no	—
230	C₂²×C₄	—	2	64	no	—
231	C₂²×C₄	—	2	24	no	—
232	C₂²×C₄	—	2	24	no	—
233	C₂²×C₄	—	2	24	no	—
234	C₂²×C₄	—	47	64	no	—
235	C₂²×C₄	—	47	24	no	—
236	C₂²×C₄	—	47	48	no	—
237	C₂²×C₄	—	47	4	no	—
238	C₂²×C₄	—	47	48	no	—
239	C₂²×C₄	—	47	8	no	—
240	C₂²×C₄	—	47	64	no	—
241	C₂²×C₄	—	94	384	no	—
242	C₂²×C₄	—	94	64	no	—
243	C₂²×C₄	—	94	64	no	—
244	C₂²×C₄	—	94	24	no	—
245	C₂²×C₄	—	94	24	no	—
246	C₂²×C₄	C₂×C₄×D₄₇	1	24	yes	—
247	C₂²×C₄	C₂×C₄×D₄₇	1	48	yes	complemented
248	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
249	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
250	C₂²⋊C₄	—	47	128	no	—
251	C₄²	—	94	64	no	—
252	C₂³	—	47	96	no	—
253	C₂³	—	47	16	no	—
254	C₂³	—	47	8	no	—
255	C₂³	—	94	256	no	—
256	C₂³	—	94	48	no	—
257	C₂³	—	94	48	no	—
258	C₂³	—	94	96	no	—
259	C₂³	—	94	96	no	—
260	C₂³	—	94	8	no	—
261	C₂³	—	94	4	no	—
262	C₂³	—	94	4	no	—
263	C₂³	C₄²×D₄₇	1	16	yes	—
264	C₂³	C₂²⋊C₄×D₄₇	1	16	yes	—
265	C₂³	#13093982	1	16	yes	—
266	C₂³	(C₂²⋊D₄₇)⋊C₄	1	32	yes	—
267	C₂³	#13093986	1	32	yes	—
268	C₂³	C₂²×C₄×D₄₇	1	6	yes	—
269	C₂³	C₂²×C₄×D₄₇	1	12	yes	—
270	C₂³	C₂×D₄×D₄₇	1	12	yes	—
271	C₂³	C₂×#10625352	1	6	yes	—
272	C₂³	C₂×#10625354	1	6	yes	—
273	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
274	C₂×C₄	—	2	48	no	—
275	C₂×C₄	—	2	96	no	—
276	C₂×C₄	—	2	8	no	—
277	C₂×C₄	—	2	8	no	—
278	C₂×C₄	—	2	8	no	—
279	C₂×C₄	—	47	96	no	—
280	C₂×C₄	—	47	8	no	—
281	C₂×C₄	—	47	16	no	—
282	C₂×C₄	—	47	16	no	—
283	C₂×C₄	—	94	128	no	—
284	C₂×C₄	—	94	96	no	—
285	C₂×C₄	—	94	8	no	—
286	C₂×C₄	—	94	8	no	—
287	C₂×C₄	C₂²×C₄×D₄₇	1	8	yes	—
288	C₂×C₄	C₂²×C₄×D₄₇	1	16	yes	complemented
289	C₂²	—	47	16	no	—
290	C₂²	—	94	8	no	—
291	C₂²	—	94	8	no	—
292	C₂²	—	94	16	no	—
293	C₂²	—	94	16	no	—
294	C₂²	—	94	192	no	—
295	C₂²	#15688970	1	64	yes	direct product factor
296	C₂²	C₂×C₄²×D₄₇	1	12	yes	—
297	C₂²	C₂×C₂²⋊C₄×D₄₇	1	12	yes	—
298	C₂²	C₂×#13093982	1	12	yes	—
299	C₂²	C₂×(C₂²⋊D₄₇)⋊C₄	1	24	yes	—
300	C₂²	C₂×#13093986	1	24	yes	—
301	C₂²	C₂³×C₄×D₄₇	1	1	yes	characteristic
302	C₂²	C₂³×C₄×D₄₇	1	2	yes	—
303	C₂²	C₂²×D₄×D₄₇	1	2	yes	—
304	C₂²	C₂²×#10625352	1	1	yes	characteristic
305	C₂²	C₂²×#10625354	1	1	yes	characteristic
306	C₄	—	2	8	no	—
307	C₄	—	2	16	no	—
308	C₄	—	47	16	no	—
309	C₄	—	94	16	no	—
310	C₂	—	94	16	no	—
311	C₂	C₂×#15688970	1	24	yes	direct product factor
312	C₂	C₂²×C₄²×D₄₇	1	1	yes	characteristic
313	C₂	C₂²×C₂²⋊C₄×D₄₇	1	1	yes	characteristic
314	C₂	C₂²×#13093982	1	1	yes	characteristic
315	C₂	C₂²×(C₂²⋊D₄₇)⋊C₄	1	2	yes	—
316	C₂	C₂²×#13093986	1	2	yes	—

	subgroup	G/H
center	C₂⁵	C₂²×D₄₇
commutator	C₂×C₄₇	C₂³×C₄²
Frattini	C₂³	C₂⁴×D₄₇
Fitting	C₂²×#95×C₄₇	C₂
socle	C₂⁵×C₄₇	C₂³
prime radical	C₂⁵×D₄₇	C₂²
cosocle	C₂³×C₄₇	C₂⁵
hypercenter	C₂²×#95	D₄₇
hypocenter	C₄₇	C₂²×C₄×C₂²⋊C₄
LCS	G ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂⁵ ◁ C₂²×#95

Complements

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

N	H ≅ G/N	type
3. C₂³×C₄×Dic₄₇	C₂	semidirect
4. C₂×#15688970	C₂	direct (N × H)
5. C₂²×C₄₇⋊#95	C₂	semidirect
6. C₂²×#95×C₄₇	C₂	semidirect
11. C₂³×C₄×D₄₇	C₄	semidirect
13. C₂²×(C₂×D₄₇)⋊C₄	C₄	semidirect
16. C₂²×C₄×Dic₄₇	C₂²	semidirect
17. #15688970	C₂²	direct (N × H)
18. C₂×C₄₇⋊#95	C₂²	semidirect
21. C₂×#95×C₄₇	C₂²	semidirect
31. C₂³×Dic₄₇	C₂×C₄	semidirect
37. C₂²×C₄×D₄₇	C₂×C₄	semidirect
39. C₂×(C₂×D₄₇)⋊C₄	C₂×C₄	semidirect
42. C₂×C₄×Dic₄₇	C₂³	semidirect
43. C₄₇⋊#95	C₂³	semidirect
49. C₂³×C₄×C₄₇	C₂×C₄	semidirect
52. #95×C₄₇	C₂³	semidirect
66. C₂³×D₄₇	C₄²	semidirect
76. C₂²×C₄×C₄₇	C₂²×C₄	semidirect
82. C₂²×Dic₄₇	C₂²⋊C₄	semidirect
84. C₂²×Dic₄₇	C₂²×C₄	semidirect
90. C₂×C₄×D₄₇	C₂²×C₄	semidirect
91. (C₂×D₄₇)⋊C₄	C₂²×C₄	semidirect
112. C₂²×D₄₇	C₂×C₄²	semidirect
121. C₂×C₄×C₄₇	C₂³×C₄	semidirect
125. C₂×Dic₄₇	C₂×C₂²⋊C₄	semidirect
127. C₂×Dic₄₇	C₂³×C₄	semidirect
131. C₂²×C₄₇	C₄×C₂²⋊C₄	semidirect
147. C₂×D₄₇	C₂²×C₄²	semidirect
151. Dic₄₇	C₂²×C₂²⋊C₄	semidirect
157. C₂²×#95	D₄₇	semidirect
158. C₂×C₄₇	C₂×C₄×C₂²⋊C₄	semidirect
179. C₂×#95	C₂×D₄₇	semidirect
180. C₄₇	C₂²×C₄×C₂²⋊C₄	semidirect
203. C₂³×C₄	C₄×D₄₇	semidirect
211. #95	C₂²×D₄₇	semidirect
247. C₂²×C₄	C₂×C₄×D₄₇	semidirect
288. C₂×C₄	C₂²×C₄×D₄₇	semidirect
295. C₂²	#15688970	direct (N × H)
311. C₂	C₂×#15688970	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂⁴×C₄×D₄₇	2
C₂³×(C₂×D₄₇)⋊C₄	2
C₂³×C₄×Dic₄₇	2
C₂×#15688970	2
C₂²×C₄₇⋊#95	2
C₂²×#95×C₄₇	2
C₂²×C₄×C₂²⋊C₄	47

Subgroups — C22×#15688970 #26374450

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#15688970 #26374450