Subgroups — C₃×#90515 #13061175

Order 1344.

584 conjugacy classes of subgroups.

The subgroup lattice has 336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₇×#41	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#1159	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#6509	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#6507	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#6502	C₂	1	2	yes	maximal, complemented
6	C₃×#6498	C₂	1	2	yes	maximal, complemented
7	C₃×D₄×Dic₇	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#6492	C₂	1	2	yes	maximal, complemented
9	C₃×C₄×C₂²⋊D₇	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#6487	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₃×Dic₇⋊C₄	C₂	1	2	yes	maximal, complemented
12	#90515	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
13	C₃×C₇×#41	—	2	4	no	—
14	C₂×C₃×C₇×Q₈	C₂²	1	1	yes	characteristic
15	C₂×C₃×C₇×D₄	C₂²	1	2	yes	—
16	C₂×C₃×C₇×D₄	C₂²	1	1	yes	characteristic
17	C₂²×C₃×C₄×C₇	C₂²	1	2	yes	—
18	C₂²×C₃×C₄×C₇	C₂²	1	1	yes	characteristic
19	C₂×C₃×C₂²⋊D₇	C₂²	1	1	yes	characteristic
20	C₂×C₃×C₂²⋊D₇	C₂²	1	2	yes	—
21	C₂²×C₃×Dic₇	C₂²	1	2	yes	—
22	C₂²×C₃×Dic₇	C₂²	1	2	yes	—
23	C₃×#1159	—	2	4	no	—
24	C₂×C₃×C₄×D₇	C₂²	1	1	yes	characteristic
25	C₂×C₃×Dic₁₄	C₂²	1	1	yes	characteristic
26	C₃×C₂²⋊Dic₇	C₂²	1	2	yes	—
27	C₃×C₂²⋊Dic₇	C₂²	1	1	yes	characteristic
28	C₃×C₂²⋊Dic₇	C₂²	1	2	yes	—
29	C₃×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
30	C₃×(C₂×D₇)⋊C₄	C₂²	1	2	yes	—
31	C₃×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
32	C₃×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
33	C₃×Dic₇⋊C₄	C₂²	1	2	yes	—
34	C₃×Dic₇⋊C₄	C₂²	1	2	yes	—
35	C₃×Dic₇⋊C₄	C₂²	1	2	yes	—
36	C₃×Dic₇⋊C₄	C₂²	1	2	yes	—
37	C₃×C₄×Dic₇	C₂²	1	1	yes	characteristic
38	C₂×C₇×#41	C₂×C₃	1	1	yes	characteristic, complemented
39	C₂×#1159	C₂×C₃	1	1	yes	characteristic, complemented
40	#6509	C₂×C₃	1	1	yes	characteristic, complemented
41	#6507	C₂×C₃	1	1	yes	characteristic, complemented
42	#6502	C₂×C₃	1	2	yes	complemented
43	#6498	C₂×C₃	1	2	yes	complemented
44	D₄×Dic₇	C₂×C₃	1	1	yes	characteristic, complemented
45	#6492	C₂×C₃	1	2	yes	complemented
46	C₄×C₂²⋊D₇	C₂×C₃	1	1	yes	characteristic, complemented
47	#6487	C₂×C₃	1	1	yes	characteristic, complemented
48	C₂×Dic₇⋊C₄	C₂×C₃	1	2	yes	complemented
49	C₃×#547	—	7	1	no	maximal, Hall
50	C₂³×C₃×C₇	C₂³	1	1	yes	characteristic
51	C₂³×C₃×C₇	C₂³	1	2	yes	—
52	C₂²×C₃×D₇	C₂³	1	1	yes	characteristic
53	C₃×C₇×Q₈	—	2	2	no	—
54	C₃×C₇×D₄	—	2	4	no	—
55	C₃×C₇×D₄	D₄	1	4	yes	complemented
56	C₂×C₃×C₄×C₇	—	2	4	no	—
57	C₂×C₃×C₄×C₇	—	2	2	no	—
58	C₂×C₃×C₄×C₇	C₂³	1	1	yes	characteristic
59	C₂×C₃×C₄×C₇	C₂³	1	2	yes	—
60	C₂×C₃×C₄×C₇	C₂³	1	1	yes	characteristic
61	C₃×C₂²⋊D₇	—	2	4	no	—
62	C₃×C₂²⋊D₇	—	2	2	no	—
63	C₂×C₃×Dic₇	—	2	4	no	—
64	C₂×C₃×Dic₇	—	2	4	no	—
65	C₂×C₃×Dic₇	C₂³	1	1	yes	characteristic
66	C₂×C₃×Dic₇	C₂³	1	2	yes	—
67	C₂×C₃×Dic₇	C₂³	1	1	yes	characteristic
68	C₂×C₃×Dic₇	C₂³	1	2	yes	—
69	C₂×C₃×Dic₇	C₂³	1	1	yes	characteristic
70	C₃×C₄×D₇	—	2	2	no	—
71	C₃×Dic₁₄	—	2	2	no	—
72	C₇×#41	—	2	4	no	—
73	C₂×C₇×Q₈	C₂²×C₃	1	1	yes	characteristic
74	C₂×C₇×D₄	C₂²×C₃	1	2	yes	—
75	C₂×C₇×D₄	C₂²×C₃	1	1	yes	characteristic
76	C₂²×C₄×C₇	C₂²×C₃	1	2	yes	—
77	C₂²×C₄×C₇	C₂²×C₃	1	1	yes	characteristic
78	C₂×C₂²⋊D₇	C₂²×C₃	1	1	yes	characteristic
79	C₂×C₂²⋊D₇	C₂²×C₃	1	2	yes	—
80	C₂²×Dic₇	C₂²×C₃	1	2	yes	—
81	C₂²×Dic₇	C₂²×C₃	1	2	yes	—
82	#1159	—	2	4	no	—
83	C₂×C₄×D₇	C₂²×C₃	1	1	yes	characteristic
84	C₂×Dic₁₄	C₂²×C₃	1	1	yes	characteristic
85	C₂²⋊Dic₇	C₂²×C₃	1	2	yes	—
86	C₂²⋊Dic₇	C₂²×C₃	1	1	yes	characteristic
87	C₂²⋊Dic₇	C₂²×C₃	1	2	yes	—
88	(C₂×D₇)⋊C₄	C₂²×C₃	1	1	yes	characteristic
89	(C₂×D₇)⋊C₄	C₂²×C₃	1	2	yes	—
90	C₄⋊Dic₇	C₂²×C₃	1	1	yes	characteristic
91	Dic₇⋊C₄	C₂²×C₃	1	1	yes	characteristic
92	Dic₇⋊C₄	C₂²×C₃	1	2	yes	—
93	Dic₇⋊C₄	C₂²×C₃	1	2	yes	—
94	Dic₇⋊C₄	C₂²×C₃	1	2	yes	—
95	Dic₇⋊C₄	C₂²×C₃	1	2	yes	—
96	C₄×Dic₇	C₂²×C₃	1	1	yes	characteristic
97	C₂×C₃×#41	—	7	1	no	—
98	C₂×C₃×#41	D₇	1	1	yes	characteristic, complemented
99	C₃×C₄⋊Q₈	—	7	1	no	—
100	C₃×#123	—	7	2	no	—
101	C₃×#123	—	7	2	no	—
102	C₃×C₂²⋊Q₈	—	7	1	no	—
103	C₃×C₂²⋊Q₈	—	7	1	no	—
104	C₃×#121	—	7	2	no	—
105	C₃×C₄×D₄	—	7	1	no	—
106	C₃×C₄×D₄	—	7	1	no	—
107	C₂×C₃×C₄⋊C₄	—	7	2	no	—
108	C₂²×C₃×C₇	—	2	2	no	—
109	C₂²×C₃×C₇	—	2	2	no	—
110	C₂²×C₃×C₇	—	2	1	no	—
111	C₂²×C₃×C₇	—	2	1	no	—
112	C₂²×C₃×C₇	—	2	1	no	—
113	C₂²×C₃×C₇	C₂×D₄	1	4	yes	—
114	C₂²×C₃×C₇	C₂⁴	1	1	yes	characteristic
115	C₂×C₃×D₇	—	2	1	no	—
116	C₂×C₃×D₇	—	2	1	no	—
117	C₂×C₃×D₇	—	2	1	no	—
118	C₃×C₄×C₇	—	2	1	no	—
119	C₃×C₄×C₇	—	2	2	no	—
120	C₃×C₄×C₇	C₂×D₄	1	2	yes	—
121	C₃×Dic₇	—	2	2	no	—
122	C₃×Dic₇	—	2	1	no	—
123	C₃×Dic₇	—	2	2	no	—
124	C₃×Dic₇	—	2	1	no	—
125	C₃×Dic₇	#41	1	2	yes	complemented
126	#547	—	7	1	no	Sylow
127	C₂³×C₇	C₂³×C₃	1	1	yes	characteristic
128	C₂³×C₇	C₂³×C₃	1	2	yes	—
129	C₂²×D₇	C₂³×C₃	1	1	yes	characteristic
130	C₇×Q₈	—	2	2	no	—
131	C₇×D₄	—	2	4	no	—
132	C₇×D₄	C₃×D₄	1	4	yes	complemented
133	C₂×C₄×C₇	—	2	4	no	—
134	C₂×C₄×C₇	—	2	2	no	—
135	C₂×C₄×C₇	C₂³×C₃	1	1	yes	characteristic
136	C₂×C₄×C₇	C₂³×C₃	1	2	yes	—
137	C₂×C₄×C₇	C₂³×C₃	1	1	yes	characteristic
138	C₂²⋊D₇	—	2	4	no	—
139	C₂²⋊D₇	—	2	2	no	—
140	C₂×Dic₇	—	2	4	no	—
141	C₂×Dic₇	—	2	4	no	—
142	C₂×Dic₇	C₂³×C₃	1	1	yes	characteristic
143	C₂×Dic₇	C₂³×C₃	1	2	yes	—
144	C₂×Dic₇	C₂³×C₃	1	1	yes	characteristic
145	C₂×Dic₇	C₂³×C₃	1	2	yes	—
146	C₂×Dic₇	C₂³×C₃	1	1	yes	characteristic
147	C₄×D₇	—	2	2	no	—
148	Dic₁₄	—	2	2	no	—
149	C₃×#41	—	2	4	no	—
150	C₃×#41	—	14	4	no	—
151	C₂×C₃×Q₈	—	7	1	no	—
152	C₂×C₃×Q₈	C₂×D₇	1	1	yes	characteristic
153	C₂×C₃×D₄	—	7	1	no	—
154	C₂×C₃×D₄	—	7	2	no	—
155	C₂×C₃×D₄	C₂×D₇	1	2	yes	—
156	C₂×C₃×D₄	C₂×D₇	1	1	yes	characteristic
157	C₂²×C₃×C₄	—	7	2	no	—
158	C₂²×C₃×C₄	—	7	2	no	—
159	C₂²×C₃×C₄	—	7	1	no	—
160	C₂²×C₃×C₄	C₂×D₇	1	2	yes	—
161	C₂²×C₃×C₄	C₂×D₇	1	1	yes	characteristic
162	C₃×C₄⋊C₄	—	7	1	no	—
163	C₃×C₄⋊C₄	—	7	2	no	—
164	C₃×C₄⋊C₄	—	7	2	no	—
165	C₃×C₄⋊C₄	—	7	2	no	—
166	C₃×C₄⋊C₄	—	7	2	no	—
167	C₃×C₄⋊C₄	—	7	1	no	—
168	C₃×C₂²⋊C₄	—	7	2	no	—
169	C₃×C₂²⋊C₄	—	7	1	no	—
170	C₃×C₂²⋊C₄	—	7	2	no	—
171	C₃×C₂²⋊C₄	—	7	1	no	—
172	C₃×C₂²⋊C₄	—	7	2	no	—
173	C₃×C₄²	—	7	1	no	—
174	C₂×C₃×C₇	—	2	4	no	—
175	C₂×C₃×C₇	—	4	1	no	—
176	C₂×C₃×C₇	C₂²×D₄	1	1	yes	characteristic
177	C₂×C₃×C₇	C₂×#41	1	1	yes	characteristic
178	C₂×C₃×C₇	2₋¹⁺⁴	1	1	yes	characteristic
179	C₃×D₇	—	4	1	no	—
180	C₂×#41	—	7	1	no	—
181	C₂×#41	C₃×D₇	1	1	yes	characteristic, complemented
182	C₄⋊Q₈	—	7	1	no	—
183	#123	—	7	2	no	—
184	#123	—	7	2	no	—
185	C₂²⋊Q₈	—	7	1	no	—
186	C₂²⋊Q₈	—	7	1	no	—
187	#121	—	7	2	no	—
188	C₄×D₄	—	7	1	no	—
189	C₄×D₄	—	7	1	no	—
190	C₂×C₄⋊C₄	—	7	2	no	—
191	C₂²×C₇	—	2	2	no	—
192	C₂²×C₇	—	2	2	no	—
193	C₂²×C₇	—	2	1	no	—
194	C₂²×C₇	—	2	1	no	—
195	C₂²×C₇	—	2	1	no	—
196	C₂²×C₇	C₂×C₃×D₄	1	4	yes	—
197	C₂²×C₇	C₂⁴×C₃	1	1	yes	characteristic
198	C₂×D₇	—	2	1	no	—
199	C₂×D₇	—	2	1	no	—
200	C₂×D₇	—	2	1	no	—
201	C₄×C₇	—	2	1	no	—
202	C₄×C₇	—	2	2	no	—
203	C₄×C₇	C₂×C₃×D₄	1	2	yes	—
204	Dic₇	—	2	2	no	—
205	Dic₇	—	2	1	no	—
206	Dic₇	—	2	2	no	—
207	Dic₇	—	2	1	no	—
208	Dic₇	C₃×#41	1	2	yes	complemented
209	C₂³×C₃	—	7	1	no	—
210	C₂³×C₃	C₂²×D₇	1	1	yes	characteristic
211	C₂³×C₃	C₂²×D₇	1	2	yes	—
212	C₃×Q₈	—	2	2	no	—
213	C₃×Q₈	—	14	2	no	—
214	C₃×D₄	—	2	4	no	—
215	C₃×D₄	—	14	2	no	—
216	C₃×D₄	—	14	4	no	—
217	C₃×D₄	C₂²⋊D₇	1	4	yes	complemented
218	C₂×C₃×C₄	—	2	4	no	—
219	C₂×C₃×C₄	—	2	2	no	—
220	C₂×C₃×C₄	—	7	1	no	—
221	C₂×C₃×C₄	—	7	1	no	—
222	C₂×C₃×C₄	—	7	2	no	—
223	C₂×C₃×C₄	—	7	1	no	—
224	C₂×C₃×C₄	—	7	2	no	—
225	C₂×C₃×C₄	—	14	4	no	—
226	C₂×C₃×C₄	—	14	4	no	—
227	C₂×C₃×C₄	—	14	2	no	—
228	C₂×C₃×C₄	C₂²×D₇	1	1	yes	characteristic
229	C₂×C₃×C₄	C₂²×D₇	1	2	yes	—
230	C₂×C₃×C₄	C₂²×D₇	1	1	yes	characteristic
231	C₃×C₇	#547	1	1	yes	characteristic, complemented, Hall
232	#41	—	2	4	no	—
233	#41	—	14	4	no	—
234	C₂×Q₈	—	7	1	no	—
235	C₂×Q₈	C₂×C₃×D₇	1	1	yes	characteristic
236	C₂×D₄	—	7	1	no	—
237	C₂×D₄	—	7	2	no	—
238	C₂×D₄	C₂×C₃×D₇	1	2	yes	—
239	C₂×D₄	C₂×C₃×D₇	1	1	yes	characteristic
240	C₂²×C₄	—	7	2	no	—
241	C₂²×C₄	—	7	2	no	—
242	C₂²×C₄	—	7	1	no	—
243	C₂²×C₄	C₂×C₃×D₇	1	2	yes	—
244	C₂²×C₄	C₂×C₃×D₇	1	1	yes	characteristic
245	C₄⋊C₄	—	7	1	no	—
246	C₄⋊C₄	—	7	2	no	—
247	C₄⋊C₄	—	7	2	no	—
248	C₄⋊C₄	—	7	2	no	—
249	C₄⋊C₄	—	7	2	no	—
250	C₄⋊C₄	—	7	1	no	—
251	C₂²⋊C₄	—	7	2	no	—
252	C₂²⋊C₄	—	7	1	no	—
253	C₂²⋊C₄	—	7	2	no	—
254	C₂²⋊C₄	—	7	1	no	—
255	C₂²⋊C₄	—	7	2	no	—
256	C₄²	—	7	1	no	—
257	C₂×C₇	—	2	4	no	—
258	C₂×C₇	—	4	1	no	—
259	C₂×C₇	C₂²×C₃×D₄	1	1	yes	characteristic
260	C₂×C₇	C₂×C₃×#41	1	1	yes	characteristic
261	C₂×C₇	C₃×2₋¹⁺⁴	1	1	yes	characteristic
262	D₇	—	4	1	no	—
263	C₂²×C₃	—	2	2	no	—
264	C₂²×C₃	—	2	2	no	—
265	C₂²×C₃	—	2	1	no	—
266	C₂²×C₃	—	2	1	no	—
267	C₂²×C₃	—	2	1	no	—
268	C₂²×C₃	—	14	1	no	—
269	C₂²×C₃	—	14	1	no	—
270	C₂²×C₃	—	14	1	no	—
271	C₂²×C₃	C₂×C₂²⋊D₇	1	4	yes	—
272	C₂²×C₃	C₂³×D₇	1	1	yes	characteristic
273	C₃×C₄	—	2	1	no	—
274	C₃×C₄	—	2	2	no	—
275	C₃×C₄	—	7	2	no	—
276	C₃×C₄	—	14	2	no	—
277	C₃×C₄	—	14	1	no	—
278	C₃×C₄	—	14	1	no	—
279	C₃×C₄	—	14	2	no	—
280	C₃×C₄	C₂×C₂²⋊D₇	1	2	yes	—
281	C₂³	—	7	1	no	—
282	C₂³	C₂²×C₃×D₇	1	1	yes	characteristic
283	C₂³	C₂²×C₃×D₇	1	2	yes	—
284	Q₈	—	2	2	no	—
285	Q₈	—	14	2	no	—
286	D₄	—	2	4	no	—
287	D₄	—	14	2	no	—
288	D₄	—	14	4	no	—
289	D₄	C₃×C₂²⋊D₇	1	4	yes	complemented
290	C₂×C₄	—	2	4	no	—
291	C₂×C₄	—	2	2	no	—
292	C₂×C₄	—	7	1	no	—
293	C₂×C₄	—	7	1	no	—
294	C₂×C₄	—	7	2	no	—
295	C₂×C₄	—	7	1	no	—
296	C₂×C₄	—	7	2	no	—
297	C₂×C₄	—	14	4	no	—
298	C₂×C₄	—	14	4	no	—
299	C₂×C₄	—	14	2	no	—
300	C₂×C₄	C₂²×C₃×D₇	1	1	yes	characteristic
301	C₂×C₄	C₂²×C₃×D₇	1	2	yes	—
302	C₂×C₄	C₂²×C₃×D₇	1	1	yes	characteristic
303	C₇	C₃×#547	1	1	yes	characteristic, complemented, Sylow
304	C₂×C₃	—	2	4	no	—
305	C₂×C₃	—	4	1	no	—
306	C₂×C₃	—	28	1	no	—
307	C₂×C₃	D₇×#41	1	1	yes	characteristic
308	C₂×C₃	#6554	1	1	yes	characteristic
309	C₂×C₃	C₂²×C₂²⋊D₇	1	1	yes	characteristic
310	C₂²	—	2	2	no	—
311	C₂²	—	2	2	no	—
312	C₂²	—	2	1	no	—
313	C₂²	—	2	1	no	—
314	C₂²	—	2	1	no	—
315	C₂²	—	14	1	no	—
316	C₂²	—	14	1	no	—
317	C₂²	—	14	1	no	—
318	C₂²	C₂×C₃×C₂²⋊D₇	1	4	yes	—
319	C₂²	C₂³×C₃×D₇	1	1	yes	characteristic
320	C₄	—	2	1	no	—
321	C₄	—	2	2	no	—
322	C₄	—	7	2	no	—
323	C₄	—	14	2	no	—
324	C₄	—	14	1	no	—
325	C₄	—	14	1	no	—
326	C₄	—	14	2	no	—
327	C₄	C₂×C₃×C₂²⋊D₇	1	2	yes	—
328	C₃	#90515	1	1	yes	characteristic, direct product factor, Sylow
329	C₂	—	2	4	no	—
330	C₂	—	4	1	no	—
331	C₂	—	28	1	no	—
332	C₂	C₃×D₇×#41	1	1	yes	characteristic
333	C₂	C₃×#6554	1	1	yes	characteristic
334	C₂	C₂²×C₃×C₂²⋊D₇	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂³×D₇
commutator, cosocle	C₂²×C₇	C₂⁴×C₃
Frattini	C₂²	C₂³×C₃×D₇
Fitting	C₂×C₃×C₇×#41	C₂
socle	C₂²×C₃×C₇	C₂⁴
hypercenter	C₂×C₃×#41	D₇
hypocenter	C₇	C₃×#547
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂²×C₃ ◁ C₂×C₃×#41

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×C₇×#41	C₂	semidirect
2. C₂×C₃×#1159	C₂	semidirect
3. C₃×#6509	C₂	semidirect
4. C₃×#6507	C₂	semidirect
5. C₃×#6502	C₂	semidirect
6. C₃×#6498	C₂	semidirect
7. C₃×D₄×Dic₇	C₂	semidirect
8. C₃×#6492	C₂	semidirect
9. C₃×C₄×C₂²⋊D₇	C₂	semidirect
10. C₃×#6487	C₂	semidirect
11. C₂×C₃×Dic₇⋊C₄	C₂	semidirect
12. #90515	C₃	direct (N × H)
38. C₂×C₇×#41	C₂×C₃	semidirect
39. C₂×#1159	C₂×C₃	semidirect
40. #6509	C₂×C₃	semidirect
41. #6507	C₂×C₃	semidirect
42. #6502	C₂×C₃	semidirect
43. #6498	C₂×C₃	semidirect
44. D₄×Dic₇	C₂×C₃	semidirect
45. #6492	C₂×C₃	semidirect
46. C₄×C₂²⋊D₇	C₂×C₃	semidirect
47. #6487	C₂×C₃	semidirect
48. C₂×Dic₇⋊C₄	C₂×C₃	semidirect
55. C₃×C₇×D₄	D₄	semidirect
98. C₂×C₃×#41	D₇	semidirect
125. C₃×Dic₇	#41	semidirect
132. C₇×D₄	C₃×D₄	semidirect
181. C₂×#41	C₃×D₇	semidirect
208. Dic₇	C₃×#41	semidirect
217. C₃×D₄	C₂²⋊D₇	semidirect
231. C₃×C₇	#547	semidirect
289. D₄	C₃×C₂²⋊D₇	semidirect
303. C₇	C₃×#547	semidirect
328. C₃	#90515	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×C₇×#41	2
C₂×C₃×#1159	2
C₃×#6509	2
C₃×#6507	2
C₃×#6502	2
C₃×#6498	2
C₃×D₄×Dic₇	2
C₃×#6492	2
C₃×C₄×C₂²⋊D₇	2
C₃×#6487	2
C₂×C₃×Dic₇⋊C₄	2
#90515	3
C₃×#547	7

Subgroups — C3×#90515 #13061175

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#90515 #13061175