Subgroups — C₃×#3489 #87373

Order 384.

1522 conjugacy classes of subgroups.

The subgroup lattice has 312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×D₄×Q₈	C₂	1	2	yes	maximal, complemented
4	C₃×#548	C₂	1	2	yes	maximal, complemented
5	C₃×#547	C₂	1	6	yes	maximal, complemented
6	C₃×#546	C₂	1	6	yes	maximal, complemented
7	C₃×#537	C₂	1	3	yes	maximal, complemented
8	C₃×#536	C₂	1	3	yes	maximal, complemented
9	C₃×#525	C₂	1	3	yes	maximal, complemented
10	C₂×C₃×C₂²⋊Q₈	C₂	1	3	yes	maximal, complemented
11	C₃×#520	C₂	1	1	yes	maximal, characteristic, complemented
12	#3489	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
13	C₃×2₋¹⁺⁴	—	2	8	no	—
14	C₂×C₃×#41	—	2	8	no	—
15	C₂×C₃×#41	C₂²	1	3	yes	—
16	C₂×C₃×#41	C₂²	1	3	yes	—
17	C₂×C₃×#41	C₂²	1	1	yes	characteristic
18	C₂×C₃×#41	C₂²	1	1	yes	characteristic
19	C₂×C₃×#41	C₂²	1	3	yes	complemented
20	C₂×C₃×#41	C₂²	1	6	yes	complemented
21	C₂²×C₃×Q₈	C₂²	1	1	yes	characteristic
22	C₂²×C₃×Q₈	C₂²	1	3	yes	complemented
23	C₂²×C₃×Q₈	C₂²	1	2	yes	complemented
24	C₂²×C₃×D₄	C₂²	1	3	yes	—
25	C₂³×C₃×C₄	C₂²	1	3	yes	—
26	C₃×C₄⋊Q₈	C₂²	1	6	yes	complemented
27	C₃×#124	C₂²	1	6	yes	complemented
28	C₃×#123	C₂²	1	6	yes	complemented
29	C₃×#123	C₂²	1	12	yes	complemented
30	C₃×C₂²⋊Q₈	C₂²	1	3	yes	—
31	C₃×C₂²⋊Q₈	C₂²	1	6	yes	—
32	C₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
33	C₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
34	C₃×C₂²⋊Q₈	C₂²	1	3	yes	complemented
35	C₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
36	C₃×#121	C₂²	1	1	yes	characteristic
37	C₃×#121	C₂²	1	3	yes	complemented
38	C₃×#121	C₂²	1	12	yes	complemented
39	C₃×#121	C₂²	1	6	yes	complemented
40	C₃×#120	C₂²	1	6	yes	—
41	C₃×C₄×Q₈	C₂²	1	2	yes	complemented
42	C₃×C₄×D₄	C₂²	1	6	yes	—
43	C₃×C₄×D₄	C₂²	1	6	yes	complemented
44	C₃×C₄×D₄	C₂²	1	6	yes	complemented
45	C₃×#117	C₂²	1	3	yes	complemented
46	C₂×C₃×C₄⋊C₄	C₂²	1	3	yes	complemented
47	C₂×C₃×C₄⋊C₄	C₂²	1	6	yes	complemented
48	C₂×C₃×C₂²⋊C₄	C₂²	1	6	yes	—
49	C₂×2₋¹⁺⁴	C₂×C₃	1	1	yes	characteristic, complemented
50	C₂²×#41	C₂×C₃	1	1	yes	characteristic, complemented
51	D₄×Q₈	C₂×C₃	1	2	yes	complemented
52	#548	C₂×C₃	1	2	yes	complemented
53	#547	C₂×C₃	1	6	yes	complemented
54	#546	C₂×C₃	1	6	yes	complemented
55	#537	C₂×C₃	1	3	yes	complemented
56	#536	C₂×C₃	1	3	yes	complemented
57	#525	C₂×C₃	1	3	yes	complemented
58	C₂×C₂²⋊Q₈	C₂×C₃	1	3	yes	complemented
59	#520	C₂×C₃	1	1	yes	characteristic, complemented
60	C₂⁴×C₃	C₂³	1	3	yes	—
61	C₃×#41	—	2	4	no	—
62	C₃×#41	—	2	12	no	—
63	C₃×#41	—	2	24	no	—
64	C₃×#41	—	2	12	no	—
65	C₃×#41	—	2	12	no	—
66	C₃×#41	D₄	1	8	yes	complemented
67	C₂×C₃×Q₈	—	2	4	no	—
68	C₂×C₃×Q₈	—	2	8	no	—
69	C₂×C₃×Q₈	—	2	12	no	—
70	C₂×C₃×Q₈	C₂³	1	3	yes	—
71	C₂×C₃×Q₈	C₂³	1	6	yes	—
72	C₂×C₃×Q₈	C₂³	1	3	yes	—
73	C₂×C₃×Q₈	C₂³	1	1	yes	characteristic
74	C₂×C₃×D₄	—	2	12	no	—
75	C₂×C₃×D₄	C₂³	1	2	yes	—
76	C₂×C₃×D₄	C₂³	1	6	yes	—
77	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
78	C₂×C₃×D₄	C₂³	1	6	yes	—
79	C₂×C₃×D₄	C₂³	1	3	yes	—
80	C₂×C₃×D₄	C₂³	1	6	yes	—
81	C₂×C₃×D₄	C₂³	1	3	yes	—
82	C₂²×C₃×C₄	—	2	12	no	—
83	C₂²×C₃×C₄	C₂³	1	6	yes	—
84	C₂²×C₃×C₄	C₂³	1	3	yes	—
85	C₂²×C₃×C₄	C₂³	1	3	yes	—
86	C₂²×C₃×C₄	C₂³	1	6	yes	—
87	C₂²×C₃×C₄	C₂³	1	3	yes	—
88	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
89	C₂²×C₃×C₄	C₂³	1	3	yes	—
90	C₂²×C₃×C₄	C₂³	1	6	yes	—
91	C₂²×C₃×C₄	C₂³	1	3	yes	—
92	C₃×C₄⋊C₄	C₂³	1	3	yes	—
93	C₃×C₄⋊C₄	C₂³	1	6	yes	—
94	C₃×C₄⋊C₄	C₂³	1	6	yes	—
95	C₃×C₄⋊C₄	C₂³	1	12	yes	—
96	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
97	C₃×C₄⋊C₄	C₂³	1	6	yes	—
98	C₃×C₂²⋊C₄	C₂³	1	6	yes	—
99	C₃×C₂²⋊C₄	C₂³	1	12	yes	—
100	C₃×C₂²⋊C₄	C₂³	1	6	yes	—
101	C₃×C₂²⋊C₄	C₂³	1	6	yes	—
102	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
103	C₃×C₂²⋊C₄	C₂³	1	6	yes	—
104	C₃×C₄²	C₂³	1	6	yes	—
105	2₋¹⁺⁴	—	2	8	no	—
106	C₂×#41	—	2	8	no	—
107	C₂×#41	C₂²×C₃	1	3	yes	—
108	C₂×#41	C₂²×C₃	1	3	yes	—
109	C₂×#41	C₂²×C₃	1	1	yes	characteristic
110	C₂×#41	C₂²×C₃	1	1	yes	characteristic
111	C₂×#41	C₂²×C₃	1	3	yes	complemented
112	C₂×#41	C₂²×C₃	1	6	yes	complemented
113	C₂²×Q₈	C₂²×C₃	1	1	yes	characteristic
114	C₂²×Q₈	C₂²×C₃	1	3	yes	complemented
115	C₂²×Q₈	C₂²×C₃	1	2	yes	complemented
116	C₂²×D₄	C₂²×C₃	1	3	yes	—
117	C₂³×C₄	C₂²×C₃	1	3	yes	—
118	C₄⋊Q₈	C₂²×C₃	1	6	yes	complemented
119	#124	C₂²×C₃	1	6	yes	complemented
120	#123	C₂²×C₃	1	6	yes	complemented
121	#123	C₂²×C₃	1	12	yes	complemented
122	C₂²⋊Q₈	C₂²×C₃	1	3	yes	—
123	C₂²⋊Q₈	C₂²×C₃	1	6	yes	—
124	C₂²⋊Q₈	C₂²×C₃	1	6	yes	complemented
125	C₂²⋊Q₈	C₂²×C₃	1	6	yes	complemented
126	C₂²⋊Q₈	C₂²×C₃	1	3	yes	complemented
127	C₂²⋊Q₈	C₂²×C₃	1	6	yes	complemented
128	#121	C₂²×C₃	1	1	yes	characteristic
129	#121	C₂²×C₃	1	3	yes	complemented
130	#121	C₂²×C₃	1	12	yes	complemented
131	#121	C₂²×C₃	1	6	yes	complemented
132	#120	C₂²×C₃	1	6	yes	—
133	C₄×Q₈	C₂²×C₃	1	2	yes	complemented
134	C₄×D₄	C₂²×C₃	1	6	yes	—
135	C₄×D₄	C₂²×C₃	1	6	yes	complemented
136	C₄×D₄	C₂²×C₃	1	6	yes	complemented
137	#117	C₂²×C₃	1	3	yes	complemented
138	C₂×C₄⋊C₄	C₂²×C₃	1	3	yes	complemented
139	C₂×C₄⋊C₄	C₂²×C₃	1	6	yes	complemented
140	C₂×C₂²⋊C₄	C₂²×C₃	1	6	yes	—
141	C₂³×C₃	—	2	6	no	—
142	C₂³×C₃	—	2	6	no	—
143	C₂³×C₃	—	4	3	no	—
144	C₂³×C₃	C₂⁴	1	3	yes	—
145	C₂³×C₃	C₂⁴	1	2	yes	—
146	C₂³×C₃	C₂⁴	1	3	yes	—
147	C₂³×C₃	C₂⁴	1	1	yes	characteristic
148	C₃×Q₈	—	2	6	no	—
149	C₃×Q₈	—	2	12	no	—
150	C₃×Q₈	—	2	6	no	—
151	C₃×Q₈	C₂×D₄	1	4	yes	—
152	C₃×D₄	—	2	12	no	—
153	C₃×D₄	—	2	12	no	—
154	C₃×D₄	—	2	4	no	—
155	C₃×D₄	—	2	6	no	—
156	C₃×D₄	—	2	2	no	—
157	C₃×D₄	—	4	6	no	—
158	C₃×D₄	C₂×D₄	1	12	yes	—
159	C₂×C₃×C₄	—	2	6	no	—
160	C₂×C₃×C₄	—	2	12	no	—
161	C₂×C₃×C₄	—	2	2	no	—
162	C₂×C₃×C₄	—	2	6	no	—
163	C₂×C₃×C₄	—	2	6	no	—
164	C₂×C₃×C₄	—	2	6	no	—
165	C₂×C₃×C₄	—	2	12	no	—
166	C₂×C₃×C₄	—	4	6	no	—
167	C₂×C₃×C₄	C₂×D₄	1	12	yes	—
168	C₂×C₃×C₄	C₂⁴	1	2	yes	—
169	C₂×C₃×C₄	C₂⁴	1	6	yes	—
170	C₂×C₃×C₄	C₂⁴	1	6	yes	—
171	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
172	C₂×C₃×C₄	C₂⁴	1	3	yes	—
173	C₂×C₃×C₄	C₂⁴	1	3	yes	—
174	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
175	C₂⁴	C₂³×C₃	1	3	yes	—
176	#41	—	2	4	no	—
177	#41	—	2	12	no	—
178	#41	—	2	24	no	—
179	#41	—	2	12	no	—
180	#41	—	2	12	no	—
181	#41	C₃×D₄	1	8	yes	complemented
182	C₂×Q₈	—	2	4	no	—
183	C₂×Q₈	—	2	8	no	—
184	C₂×Q₈	—	2	12	no	—
185	C₂×Q₈	C₂³×C₃	1	3	yes	—
186	C₂×Q₈	C₂³×C₃	1	6	yes	—
187	C₂×Q₈	C₂³×C₃	1	3	yes	—
188	C₂×Q₈	C₂³×C₃	1	1	yes	characteristic
189	C₂×D₄	—	2	12	no	—
190	C₂×D₄	C₂³×C₃	1	2	yes	—
191	C₂×D₄	C₂³×C₃	1	6	yes	—
192	C₂×D₄	C₂³×C₃	1	1	yes	characteristic
193	C₂×D₄	C₂³×C₃	1	6	yes	—
194	C₂×D₄	C₂³×C₃	1	3	yes	—
195	C₂×D₄	C₂³×C₃	1	6	yes	—
196	C₂×D₄	C₂³×C₃	1	3	yes	—
197	C₂²×C₄	—	2	12	no	—
198	C₂²×C₄	C₂³×C₃	1	6	yes	—
199	C₂²×C₄	C₂³×C₃	1	3	yes	—
200	C₂²×C₄	C₂³×C₃	1	3	yes	—
201	C₂²×C₄	C₂³×C₃	1	6	yes	—
202	C₂²×C₄	C₂³×C₃	1	3	yes	—
203	C₂²×C₄	C₂³×C₃	1	1	yes	characteristic
204	C₂²×C₄	C₂³×C₃	1	3	yes	—
205	C₂²×C₄	C₂³×C₃	1	6	yes	—
206	C₂²×C₄	C₂³×C₃	1	3	yes	—
207	C₄⋊C₄	C₂³×C₃	1	3	yes	—
208	C₄⋊C₄	C₂³×C₃	1	6	yes	—
209	C₄⋊C₄	C₂³×C₃	1	6	yes	—
210	C₄⋊C₄	C₂³×C₃	1	12	yes	—
211	C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
212	C₄⋊C₄	C₂³×C₃	1	6	yes	—
213	C₂²⋊C₄	C₂³×C₃	1	6	yes	—
214	C₂²⋊C₄	C₂³×C₃	1	12	yes	—
215	C₂²⋊C₄	C₂³×C₃	1	6	yes	—
216	C₂²⋊C₄	C₂³×C₃	1	6	yes	—
217	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
218	C₂²⋊C₄	C₂³×C₃	1	6	yes	—
219	C₄²	C₂³×C₃	1	6	yes	—
220	C₂²×C₃	—	2	1	no	—
221	C₂²×C₃	—	2	3	no	—
222	C₂²×C₃	—	2	3	no	—
223	C₂²×C₃	—	2	1	no	—
224	C₂²×C₃	—	2	2	no	—
225	C₂²×C₃	—	2	3	no	—
226	C₂²×C₃	—	2	2	no	—
227	C₂²×C₃	—	2	3	no	—
228	C₂²×C₃	—	2	2	no	—
229	C₂²×C₃	—	2	3	no	—
230	C₂²×C₃	—	4	12	no	—
231	C₂²×C₃	C₂²×D₄	1	6	yes	—
232	C₂²×C₃	2₋¹⁺⁴	1	2	yes	complemented
233	C₂²×C₃	C₂⁵	1	1	yes	characteristic
234	C₃×C₄	—	2	1	no	—
235	C₃×C₄	—	2	3	no	—
236	C₃×C₄	—	2	6	no	—
237	C₃×C₄	—	2	2	no	—
238	C₃×C₄	—	2	6	no	—
239	C₃×C₄	C₂²×D₄	1	2	yes	—
240	C₃×C₄	C₂²×D₄	1	6	yes	—
241	C₂³	—	2	6	no	—
242	C₂³	—	2	6	no	—
243	C₂³	—	4	3	no	—
244	C₂³	C₂⁴×C₃	1	3	yes	—
245	C₂³	C₂⁴×C₃	1	2	yes	—
246	C₂³	C₂⁴×C₃	1	3	yes	—
247	C₂³	C₂⁴×C₃	1	1	yes	characteristic
248	Q₈	—	2	6	no	—
249	Q₈	—	2	12	no	—
250	Q₈	—	2	6	no	—
251	Q₈	C₂×C₃×D₄	1	4	yes	—
252	D₄	—	2	12	no	—
253	D₄	—	2	12	no	—
254	D₄	—	2	4	no	—
255	D₄	—	2	6	no	—
256	D₄	—	2	2	no	—
257	D₄	—	4	6	no	—
258	D₄	C₂×C₃×D₄	1	12	yes	—
259	C₂×C₄	—	2	6	no	—
260	C₂×C₄	—	2	12	no	—
261	C₂×C₄	—	2	2	no	—
262	C₂×C₄	—	2	6	no	—
263	C₂×C₄	—	2	6	no	—
264	C₂×C₄	—	2	6	no	—
265	C₂×C₄	—	2	12	no	—
266	C₂×C₄	—	4	6	no	—
267	C₂×C₄	C₂×C₃×D₄	1	12	yes	—
268	C₂×C₄	C₂⁴×C₃	1	2	yes	—
269	C₂×C₄	C₂⁴×C₃	1	6	yes	—
270	C₂×C₄	C₂⁴×C₃	1	6	yes	—
271	C₂×C₄	C₂⁴×C₃	1	1	yes	characteristic
272	C₂×C₄	C₂⁴×C₃	1	3	yes	—
273	C₂×C₄	C₂⁴×C₃	1	3	yes	—
274	C₂×C₄	C₂⁴×C₃	1	1	yes	characteristic
275	C₂×C₃	—	2	2	no	—
276	C₂×C₃	—	2	6	no	—
277	C₂×C₃	—	4	2	no	—
278	C₂×C₃	—	4	3	no	—
279	C₂×C₃	C₂³×D₄	1	1	yes	characteristic
280	C₂×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
281	C₂×C₃	#585	1	1	yes	characteristic
282	C₂²	—	2	1	no	—
283	C₂²	—	2	3	no	—
284	C₂²	—	2	3	no	—
285	C₂²	—	2	1	no	—
286	C₂²	—	2	2	no	—
287	C₂²	—	2	3	no	—
288	C₂²	—	2	2	no	—
289	C₂²	—	2	3	no	—
290	C₂²	—	2	2	no	—
291	C₂²	—	2	3	no	—
292	C₂²	—	4	12	no	—
293	C₂²	C₂²×C₃×D₄	1	6	yes	—
294	C₂²	C₃×2₋¹⁺⁴	1	2	yes	complemented
295	C₂²	C₂⁵×C₃	1	1	yes	characteristic
296	C₄	—	2	1	no	—
297	C₄	—	2	3	no	—
298	C₄	—	2	6	no	—
299	C₄	—	2	2	no	—
300	C₄	—	2	6	no	—
301	C₄	C₂²×C₃×D₄	1	2	yes	—
302	C₄	C₂²×C₃×D₄	1	6	yes	—
303	C₃	#3489	1	1	yes	characteristic, direct product factor, Sylow
304	C₂	—	2	2	no	—
305	C₂	—	2	6	no	—
306	C₂	—	4	3	no	—
307	C₂	—	4	2	no	—
308	C₂	C₂³×C₃×D₄	1	1	yes	characteristic
309	C₂	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
310	C₂	C₃×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁵×C₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×2₋¹⁺⁴	C₂	semidirect
2. C₂²×C₃×#41	C₂	semidirect
3. C₃×D₄×Q₈	C₂	semidirect
4. C₃×#548	C₂	semidirect
5. C₃×#547	C₂	semidirect
6. C₃×#546	C₂	semidirect
7. C₃×#537	C₂	semidirect
8. C₃×#536	C₂	semidirect
9. C₃×#525	C₂	semidirect
10. C₂×C₃×C₂²⋊Q₈	C₂	semidirect
11. C₃×#520	C₂	semidirect
12. #3489	C₃	direct (N × H)
19. C₂×C₃×#41	C₂²	semidirect
20. C₂×C₃×#41	C₂²	semidirect
22. C₂²×C₃×Q₈	C₂²	semidirect
23. C₂²×C₃×Q₈	C₂²	semidirect
26. C₃×C₄⋊Q₈	C₂²	semidirect
27. C₃×#124	C₂²	semidirect
28. C₃×#123	C₂²	semidirect
29. C₃×#123	C₂²	semidirect
32. C₃×C₂²⋊Q₈	C₂²	semidirect
33. C₃×C₂²⋊Q₈	C₂²	semidirect
34. C₃×C₂²⋊Q₈	C₂²	semidirect
35. C₃×C₂²⋊Q₈	C₂²	semidirect
37. C₃×#121	C₂²	semidirect
38. C₃×#121	C₂²	semidirect
39. C₃×#121	C₂²	semidirect
41. C₃×C₄×Q₈	C₂²	semidirect
43. C₃×C₄×D₄	C₂²	semidirect
44. C₃×C₄×D₄	C₂²	semidirect
45. C₃×#117	C₂²	semidirect
46. C₂×C₃×C₄⋊C₄	C₂²	semidirect
47. C₂×C₃×C₄⋊C₄	C₂²	semidirect
49. C₂×2₋¹⁺⁴	C₂×C₃	semidirect
50. C₂²×#41	C₂×C₃	semidirect
51. D₄×Q₈	C₂×C₃	semidirect
52. #548	C₂×C₃	semidirect
53. #547	C₂×C₃	semidirect
54. #546	C₂×C₃	semidirect
55. #537	C₂×C₃	semidirect
56. #536	C₂×C₃	semidirect
57. #525	C₂×C₃	semidirect
58. C₂×C₂²⋊Q₈	C₂×C₃	semidirect
59. #520	C₂×C₃	semidirect
66. C₃×#41	D₄	semidirect
111. C₂×#41	C₂²×C₃	semidirect
112. C₂×#41	C₂²×C₃	semidirect
114. C₂²×Q₈	C₂²×C₃	semidirect
115. C₂²×Q₈	C₂²×C₃	semidirect
118. C₄⋊Q₈	C₂²×C₃	semidirect
119. #124	C₂²×C₃	semidirect
120. #123	C₂²×C₃	semidirect
121. #123	C₂²×C₃	semidirect
124. C₂²⋊Q₈	C₂²×C₃	semidirect
125. C₂²⋊Q₈	C₂²×C₃	semidirect
126. C₂²⋊Q₈	C₂²×C₃	semidirect
127. C₂²⋊Q₈	C₂²×C₃	semidirect
129. #121	C₂²×C₃	semidirect
130. #121	C₂²×C₃	semidirect
131. #121	C₂²×C₃	semidirect
133. C₄×Q₈	C₂²×C₃	semidirect
135. C₄×D₄	C₂²×C₃	semidirect
136. C₄×D₄	C₂²×C₃	semidirect
137. #117	C₂²×C₃	semidirect
138. C₂×C₄⋊C₄	C₂²×C₃	semidirect
139. C₂×C₄⋊C₄	C₂²×C₃	semidirect
181. #41	C₃×D₄	semidirect
232. C₂²×C₃	2₋¹⁺⁴	semidirect
294. C₂²	C₃×2₋¹⁺⁴	semidirect
303. C₃	#3489	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×2₋¹⁺⁴	2
C₂²×C₃×#41	2
C₃×D₄×Q₈	2
C₃×#548	2
C₃×#547	2
C₃×#546	2
C₃×#537	2
C₃×#536	2
C₃×#525	2
C₂×C₃×C₂²⋊Q₈	2
C₃×#520	2
#3489	3

Subgroups — C3×#3489 #87373

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#3489 #87373