Subgroups — C₃×#79579 #11898344

Order 1152.

787 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#5542	C₂	1	2	yes	maximal, complemented
2	C₃²×C₄×D₈	C₂	1	1	yes	maximal, characteristic
3	C₃×#5155	C₂	1	2	yes	maximal
4	C₃×#5019	C₂	1	2	yes	maximal, complemented
5	C₃×#4873	C₂	1	2	yes	maximal, complemented
6	C₃×#4767	C₂	1	4	yes	maximal, complemented
7	C₃×#4699	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×C₈×Dic₆	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#3393	—	3	1	no	maximal
10	#79579	C₃	1	1	yes	maximal, characteristic, direct product factor
11	C₂×C₃²×D₈	C₂²	1	1	yes	characteristic
12	C₃²×C₄×D₄	C₂²	1	2	yes	—
13	C₃×#936	C₂²	1	4	yes	—
14	C₂×C₃×#214	C₂²	1	4	yes	—
15	C₃×#926	—	2	2	no	—
16	C₃×#924	—	2	2	no	—
17	C₂×C₃×Dic₁₂	C₂²	1	2	yes	—
18	C₂×C₃×Dic₁₂	C₂²	1	2	yes	—
19	C₃×#887	C₂²	1	4	yes	—
20	C₃×#879	—	2	4	no	—
21	C₃×#869	C₂²	1	2	yes	—
22	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic
23	C₃²×#107	C₂²	1	1	yes	characteristic
24	C₃²×#102	C₂²	1	2	yes	—
25	C₃²×C₄×C₈	C₂²	1	1	yes	characteristic
26	C₃×Dic₃⋊C₈	C₂²	1	2	yes	—
27	C₃×C₈×Dic₃	C₂²	1	2	yes	—
28	C₃×#810	C₂²	1	4	yes	—
29	C₃×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic
30	C₃×#556	—	3	2	no	—
31	#5542	C₂×C₃	1	2	yes	complemented
32	C₃×#495	—	3	2	no	—
33	C₃×#494	—	3	1	no	—
34	C₃×#464	—	3	4	no	—
35	C₃×#461	—	3	2	no	—
36	C₃×C₈×Q₈	—	3	1	no	—
37	C₃×C₄×Q₁₆	—	3	2	no	—
38	C₃×C₄×D₈	—	2	1	no	—
39	C₃×C₄×D₈	D₃	1	1	yes	characteristic
40	C₃×C₄×D₈	C₂×C₃	1	1	yes	characteristic
41	#5155	C₂×C₃	1	2	yes	—
42	#5019	C₂×C₃	1	2	yes	complemented
43	#4873	C₂×C₃	1	2	yes	complemented
44	#4767	C₂×C₃	1	4	yes	complemented
45	#4699	C₂×C₃	1	1	yes	characteristic, complemented
46	C₈×Dic₆	C₂×C₃	1	1	yes	characteristic, complemented
47	C₂×C₃²×D₄	C₂³	1	2	yes	—
48	C₂²×C₃²×C₄	—	2	2	no	—
49	C₂×C₃×Dic₆	D₄	1	1	yes	characteristic
50	C₂×C₃×Dic₆	C₂³	1	4	yes	—
51	C₃²×D₈	—	2	2	no	—
52	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
53	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
54	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
55	C₃²×C₂²⋊C₄	—	2	2	no	—
56	C₃²×C₄²	C₂³	1	1	yes	characteristic
57	C₃×#217	—	2	4	no	—
58	C₃×#217	—	2	4	no	—
59	C₃×#214	—	4	4	no	—
60	C₃×C₄⋊Dic₃	—	2	2	no	—
61	C₃×C₄⋊Dic₃	—	2	2	no	—
62	C₃×C₄⋊Dic₃	D₄	1	1	yes	characteristic
63	C₃×Dic₃⋊C₄	—	2	4	no	—
64	C₃×Dic₃⋊C₄	D₄	1	2	yes	—
65	C₃×C₄×Dic₃	—	2	4	no	—
66	C₃×C₄×Dic₃	C₂³	1	2	yes	—
67	C₂×C₃×C₃⋊C₈	C₂³	1	2	yes	—
68	C₃×Dic₁₂	—	2	4	no	—
69	C₃×Dic₁₂	—	4	2	no	—
70	#3393	—	3	1	no	Sylow
71	C₂×C₃×Q₁₆	—	3	2	no	—
72	C₂×C₃×Q₁₆	—	3	2	no	—
73	C₂×C₃×SD₁₆	—	3	4	no	—
74	C₂×C₃×D₈	—	2	1	no	—
75	C₂×C₃×D₈	C₂×D₃	1	1	yes	characteristic
76	C₂×C₃×D₈	C₂²×C₃	1	1	yes	characteristic
77	C₃×C₄⋊Q₈	—	3	2	no	—
78	C₃×#126	—	6	4	no	—
79	C₃×#124	—	3	4	no	—
80	C₃×C₂²⋊Q₈	—	6	2	no	—
81	C₃×C₄×Q₈	—	3	1	no	—
82	C₃×C₄×Q₈	—	3	4	no	—
83	C₃×C₄×D₄	—	2	2	no	—
84	C₃×C₄×D₄	C₂×D₃	1	2	yes	—
85	C₃×C₄×D₄	C₂²×C₃	1	2	yes	—
86	C₃×#117	—	6	2	no	—
87	#936	C₂²×C₃	1	4	yes	—
88	C₂×#214	C₂²×C₃	1	4	yes	—
89	#926	—	2	2	no	—
90	#924	—	2	2	no	—
91	C₂×Dic₁₂	C₂²×C₃	1	2	yes	—
92	C₂×Dic₁₂	C₂²×C₃	1	2	yes	—
93	#887	C₂²×C₃	1	4	yes	—
94	#879	—	2	4	no	—
95	#869	C₂²×C₃	1	2	yes	—
96	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic
97	C₃×#107	—	2	1	no	—
98	C₃×#107	C₂×D₃	1	1	yes	characteristic
99	C₃×#107	C₂²×C₃	1	1	yes	characteristic
100	C₃×C₄⋊C₈	—	3	2	no	—
101	C₃×C₄⋊C₈	—	3	1	no	—
102	C₃×#103	—	3	4	no	—
103	C₃×#102	—	2	2	no	—
104	C₃×#102	C₂×D₃	1	2	yes	—
105	C₃×#102	C₂²×C₃	1	2	yes	—
106	C₃×C₄×C₈	—	2	1	no	—
107	C₃×C₄×C₈	—	3	2	no	—
108	C₃×C₄×C₈	C₂×D₃	1	1	yes	characteristic
109	C₃×C₄×C₈	C₂²×C₃	1	1	yes	characteristic
110	Dic₃⋊C₈	C₂²×C₃	1	2	yes	—
111	C₈×Dic₃	C₂²×C₃	1	2	yes	—
112	#810	C₂²×C₃	1	4	yes	—
113	C₄⋊(C₃⋊C₈)	C₂²×C₃	1	1	yes	characteristic
114	C₂³×C₃²	—	2	2	no	—
115	C₃²×D₄	—	2	2	no	—
116	C₃²×D₄	—	2	2	no	—
117	C₂×C₃²×C₄	—	2	2	no	—
118	C₂×C₃²×C₄	—	4	4	no	—
119	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
120	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
121	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
122	C₂×C₃×Dic₃	—	2	4	no	—
123	C₂×C₃×Dic₃	C₂×D₄	1	2	yes	—
124	C₂×C₃×Dic₃	C₂×D₄	1	2	yes	—
125	C₃×Dic₆	—	2	2	no	—
126	C₃×Dic₆	—	2	4	no	—
127	C₃×Dic₆	—	2	4	no	—
128	C₃²×C₈	—	2	1	no	—
129	C₃²×C₈	#41	1	2	yes	—
130	C₃×C₃⋊C₈	—	2	2	no	—
131	#556	—	3	2	no	—
132	#495	—	3	2	no	—
133	#494	—	3	1	no	—
134	#464	—	3	4	no	—
135	#461	—	3	2	no	—
136	C₈×Q₈	—	3	1	no	—
137	C₄×Q₁₆	—	3	2	no	—
138	C₄×D₈	C₃×D₃	1	1	yes	characteristic
139	C₂×C₃×Q₈	—	3	1	no	—
140	C₂×C₃×Q₈	—	3	4	no	—
141	C₂×C₃×D₄	—	2	2	no	—
142	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
143	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
144	C₂²×C₃×C₄	—	2	2	no	—
145	C₂²×C₃×C₄	—	2	2	no	—
146	C₂²×C₃×C₄	—	4	2	no	—
147	C₂×Dic₆	C₃×D₄	1	1	yes	characteristic
148	C₂×Dic₆	C₂³×C₃	1	4	yes	—
149	C₃×Q₁₆	—	6	4	no	—
150	C₃×Q₁₆	—	12	2	no	—
151	C₃×SD₁₆	—	12	4	no	—
152	C₃×D₈	—	2	4	no	—
153	C₃×D₈	—	2	2	no	—
154	C₃×D₈	—	2	2	no	—
155	C₂×C₃×C₈	—	2	1	no	—
156	C₂×C₃×C₈	—	2	1	no	—
157	C₂×C₃×C₈	—	3	2	no	—
158	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
159	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
160	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
161	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
162	C₃×C₄⋊C₄	—	2	2	no	—
163	C₃×C₄⋊C₄	—	3	2	no	—
164	C₃×C₄⋊C₄	—	3	1	no	—
165	C₃×C₄⋊C₄	—	6	4	no	—
166	C₃×C₄⋊C₄	—	6	2	no	—
167	C₃×C₄⋊C₄	—	6	2	no	—
168	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
169	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
170	C₃×C₂²⋊C₄	—	2	2	no	—
171	C₃×C₂²⋊C₄	—	2	2	no	—
172	C₃×C₂²⋊C₄	—	4	2	no	—
173	C₃×C₂²⋊C₄	—	6	4	no	—
174	C₃×C₂²⋊C₄	—	6	4	no	—
175	C₃×C₄²	—	2	1	no	—
176	C₃×C₄²	—	3	2	no	—
177	C₃×C₄²	—	6	4	no	—
178	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
179	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
180	#217	—	2	4	no	—
181	#217	—	2	4	no	—
182	#214	—	4	4	no	—
183	C₄⋊Dic₃	—	2	2	no	—
184	C₄⋊Dic₃	—	2	2	no	—
185	C₄⋊Dic₃	C₃×D₄	1	1	yes	characteristic
186	Dic₃⋊C₄	—	2	4	no	—
187	Dic₃⋊C₄	C₃×D₄	1	2	yes	—
188	C₄×Dic₃	—	2	4	no	—
189	C₄×Dic₃	C₂³×C₃	1	2	yes	—
190	C₂×C₃⋊C₈	C₂³×C₃	1	2	yes	—
191	Dic₁₂	—	2	4	no	—
192	Dic₁₂	—	4	2	no	—
193	C₂²×C₃²	—	4	2	no	—
194	C₂²×C₃²	—	4	2	no	—
195	C₂²×C₃²	—	4	2	no	—
196	C₂²×C₃²	C₂²×D₄	1	1	yes	characteristic
197	C₃²×C₄	—	2	1	no	—
198	C₃²×C₄	—	4	2	no	—
199	C₃²×C₄	#135	1	2	yes	—
200	C₃²×C₄	C₂×#41	1	1	yes	characteristic
201	C₃²×C₄	H(5,𝔽₂)	1	1	yes	characteristic
202	C₃×Dic₃	—	2	2	no	—
203	C₃×Dic₃	—	2	2	no	—
204	C₃×Dic₃	—	4	4	no	—
205	C₂×Q₁₆	—	3	2	no	—
206	C₂×Q₁₆	—	3	2	no	—
207	C₂×SD₁₆	—	3	4	no	—
208	C₂×D₈	C₂×C₃×D₃	1	1	yes	characteristic
209	C₄⋊Q₈	—	3	2	no	—
210	#126	—	6	4	no	—
211	#124	—	3	4	no	—
212	C₂²⋊Q₈	—	6	2	no	—
213	C₄×Q₈	—	3	1	no	—
214	C₄×Q₈	—	3	4	no	—
215	C₄×D₄	C₂×C₃×D₃	1	2	yes	—
216	#117	—	6	2	no	—
217	#107	C₂×C₃×D₃	1	1	yes	characteristic
218	C₄⋊C₈	—	3	2	no	—
219	C₄⋊C₈	—	3	1	no	—
220	#103	—	3	4	no	—
221	#102	C₂×C₃×D₃	1	2	yes	—
222	C₄×C₈	—	3	2	no	—
223	C₄×C₈	C₂×C₃×D₃	1	1	yes	characteristic
224	C₂³×C₃	—	2	2	no	—
225	C₂³×C₃	—	2	2	no	—
226	C₂³×C₃	—	4	2	no	—
227	C₃×Q₈	—	6	2	no	—
228	C₃×Q₈	—	6	4	no	—
229	C₃×Q₈	—	6	4	no	—
230	C₃×D₄	—	2	4	no	—
231	C₃×D₄	—	2	2	no	—
232	C₃×D₄	—	2	2	no	—
233	C₃×D₄	—	2	2	no	—
234	C₃×D₄	—	2	2	no	—
235	C₃×D₄	—	4	2	no	—
236	C₂×C₃×C₄	—	2	2	no	—
237	C₂×C₃×C₄	—	2	2	no	—
238	C₂×C₃×C₄	—	2	1	no	—
239	C₂×C₃×C₄	—	2	1	no	—
240	C₂×C₃×C₄	—	2	1	no	—
241	C₂×C₃×C₄	—	3	2	no	—
242	C₂×C₃×C₄	—	3	2	no	—
243	C₂×C₃×C₄	—	4	2	no	—
244	C₂×C₃×C₄	—	4	4	no	—
245	C₂×C₃×C₄	—	4	4	no	—
246	C₂×C₃×C₄	—	6	4	no	—
247	C₂×C₃×C₄	—	8	4	no	—
248	C₂×C₃×C₄	D₃×D₄	1	1	yes	characteristic
249	C₂×C₃×C₄	D₃×D₄	1	1	yes	characteristic
250	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
251	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
252	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
253	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
254	C₂×Dic₃	—	2	4	no	—
255	C₂×Dic₃	C₂×C₃×D₄	1	2	yes	—
256	C₂×Dic₃	C₂×C₃×D₄	1	2	yes	—
257	Dic₆	—	2	2	no	—
258	Dic₆	—	2	4	no	—
259	Dic₆	—	2	4	no	—
260	C₃×C₈	—	2	1	no	—
261	C₃×C₈	—	2	1	no	—
262	C₃×C₈	—	2	2	no	—
263	C₃×C₈	—	4	1	no	—
264	C₃×C₈	—	6	2	no	—
265	C₃×C₈	#235	1	2	yes	—
266	C₃×C₈	C₃×#41	1	2	yes	—
267	C₃⋊C₈	—	2	2	no	—
268	C₂×C₃²	—	8	2	no	—
269	C₂×C₃²	#550	1	1	yes	characteristic
270	C₂×C₃²	C₂×#135	1	1	yes	characteristic
271	C₂×C₃²	#578	1	1	yes	characteristic
272	C₂×Q₈	—	3	1	no	—
273	C₂×Q₈	—	3	4	no	—
274	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
275	C₂²×C₄	—	2	2	no	—
276	Q₁₆	—	6	4	no	—
277	Q₁₆	—	12	2	no	—
278	SD₁₆	—	12	4	no	—
279	D₈	—	2	2	no	—
280	C₂×C₈	—	3	2	no	—
281	C₂×C₈	C₂²×C₃×D₃	1	1	yes	characteristic
282	C₂×C₈	C₂²×C₃×D₃	1	1	yes	characteristic
283	C₄⋊C₄	—	3	1	no	—
284	C₄⋊C₄	—	3	2	no	—
285	C₄⋊C₄	—	6	4	no	—
286	C₄⋊C₄	—	6	2	no	—
287	C₄⋊C₄	—	6	2	no	—
288	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
289	C₂²⋊C₄	—	2	2	no	—
290	C₂²⋊C₄	—	6	4	no	—
291	C₂²⋊C₄	—	6	4	no	—
292	C₄²	—	3	2	no	—
293	C₄²	—	6	4	no	—
294	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
295	C₂²×C₃	—	2	1	no	—
296	C₂²×C₃	—	4	4	no	—
297	C₂²×C₃	—	4	2	no	—
298	C₂²×C₃	—	4	2	no	—
299	C₂²×C₃	—	4	2	no	—
300	C₂²×C₃	—	4	2	no	—
301	C₂²×C₃	—	4	2	no	—
302	C₂²×C₃	—	4	2	no	—
303	C₂²×C₃	—	8	2	no	—
304	C₂²×C₃	—	8	2	no	—
305	C₂²×C₃	C₂×D₃×D₄	1	1	yes	characteristic
306	C₂²×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
307	C₃×C₄	—	2	1	no	—
308	C₃×C₄	—	2	1	no	—
309	C₃×C₄	—	2	2	no	—
310	C₃×C₄	—	2	1	no	—
311	C₃×C₄	—	2	1	no	—
312	C₃×C₄	—	4	1	no	—
313	C₃×C₄	—	4	2	no	—
314	C₃×C₄	—	4	2	no	—
315	C₃×C₄	—	6	2	no	—
316	C₃×C₄	—	6	2	no	—
317	C₃×C₄	—	8	2	no	—
318	C₃×C₄	—	12	4	no	—
319	C₃×C₄	#912	1	2	yes	—
320	C₃×C₄	C₃×#135	1	2	yes	—
321	C₃×C₄	C₂×#235	1	1	yes	characteristic
322	C₃×C₄	#1009	1	1	yes	characteristic
323	C₃×C₄	C₂×C₃×#41	1	1	yes	characteristic
324	C₃×C₄	C₃×H(5,𝔽₂)	1	1	yes	characteristic
325	Dic₃	—	2	2	no	—
326	Dic₃	—	2	2	no	—
327	Dic₃	—	4	4	no	—
328	C₃²	#3393	1	1	yes	characteristic, complemented, Sylow
329	C₂³	—	2	2	no	—
330	Q₈	—	6	2	no	—
331	Q₈	—	6	4	no	—
332	Q₈	—	6	4	no	—
333	D₄	—	2	2	no	—
334	D₄	—	2	2	no	—
335	C₂×C₄	—	2	2	no	—
336	C₂×C₄	—	3	2	no	—
337	C₂×C₄	—	3	2	no	—
338	C₂×C₄	—	4	4	no	—
339	C₂×C₄	—	6	4	no	—
340	C₂×C₄	C₃×D₃×D₄	1	1	yes	characteristic
341	C₂×C₄	C₃×D₃×D₄	1	1	yes	characteristic
342	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
343	C₈	—	2	1	no	—
344	C₈	—	6	2	no	—
345	C₈	C₃×#235	1	2	yes	—
346	C₂×C₃	—	2	1	no	—
347	C₂×C₃	—	2	1	no	—
348	C₂×C₃	—	2	1	no	—
349	C₂×C₃	—	8	4	no	—
350	C₂×C₃	—	8	2	no	—
351	C₂×C₃	—	8	2	no	—
352	C₂×C₃	#5553	1	1	yes	characteristic
353	C₂×C₃	C₂×#912	1	1	yes	characteristic
354	C₂×C₃	#5771	1	1	yes	characteristic
355	C₂×C₃	C₃×#550	1	1	yes	characteristic
356	C₂×C₃	C₂×C₃×#135	1	1	yes	characteristic
357	C₂×C₃	C₃×#578	1	1	yes	characteristic
358	C₂²	—	4	2	no	—
359	C₂²	—	4	2	no	—
360	C₂²	—	4	2	no	—
361	C₂²	C₂×C₃×D₃×D₄	1	1	yes	characteristic
362	C₄	—	2	1	no	—
363	C₄	—	4	2	no	—
364	C₄	—	6	2	no	—
365	C₄	—	6	2	no	—
366	C₄	—	12	4	no	—
367	C₄	C₃×#912	1	2	yes	—
368	C₄	C₂×C₃×#235	1	1	yes	characteristic
369	C₄	C₃×#1009	1	1	yes	characteristic
370	C₃	—	2	1	no	—
371	C₃	#79579	1	1	yes	characteristic, direct product factor
372	C₃	C₃×#3393	1	1	yes	characteristic, complemented
373	C₂	—	8	2	no	—
374	C₂	C₃×#5553	1	1	yes	characteristic
375	C₂	C₂×C₃×#912	1	1	yes	characteristic
376	C₂	C₃×#5771	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂×D₃×D₄
commutator, cosocle	C₂×C₃×C₄	C₂⁴×C₃
Frattini	C₂×C₄	C₂³×C₃×D₃
Fitting	C₃²×C₄×D₈	C₂
socle	C₂²×C₃²	C₂²×D₄
prime radical	C₂×C₃²×D₈	C₂²
hypercenter	C₃×C₄×D₈	D₃
hypocenter	C₃	C₃×#3393
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×C₄² ◁ C₃×C₄×D₈

Complements

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

N	H ≅ G/N	type
1. C₃×#5542	C₂	semidirect
4. C₃×#5019	C₂	semidirect
5. C₃×#4873	C₂	semidirect
6. C₃×#4767	C₂	semidirect
7. C₃×#4699	C₂	semidirect
8. C₃×C₈×Dic₆	C₂	semidirect
10. #79579	C₃	direct (N × H)
31. #5542	C₂×C₃	semidirect
42. #5019	C₂×C₃	semidirect
43. #4873	C₂×C₃	semidirect
44. #4767	C₂×C₃	semidirect
45. #4699	C₂×C₃	semidirect
46. C₈×Dic₆	C₂×C₃	semidirect
328. C₃²	#3393	semidirect
371. C₃	#79579	direct (N × H)
372. C₃	C₃×#3393	semidirect

Maximal subgroups

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

subgroup	index
C₃×#5542	2
C₃²×C₄×D₈	2
C₃×#5155	2
C₃×#5019	2
C₃×#4873	2
C₃×#4767	2
C₃×#4699	2
C₃×C₈×Dic₆	2
C₃×#3393	3
#79579	3

Subgroups — C3×#79579 #11898344

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#79579 #11898344