Subgroups — C₃×#10588649 #13142544

Order 1728.

578 conjugacy classes of subgroups.

The subgroup lattice has 362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#3697	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×C₉×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×#3667	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#63369	C₂	1	2	yes	maximal, complemented
5	C₃×#63368	C₂	1	2	yes	maximal, complemented
6	C₃×#4966	—	3	1	no	maximal
7	#10588649	C₃	1	1	yes	maximal, characteristic, direct product factor
8	C₂²×C₃×C₄×C₉	—	2	1	no	—
9	C₂²×C₃×C₄×C₉	C₂²	1	1	yes	characteristic
10	C₂×C₃×#611	—	2	1	no	—
11	C₃×#3697	—	2	2	no	—
12	C₃×#3697	C₄	1	4	yes	complemented
13	C₂×C₃×D₃₆	C₂²	1	1	yes	characteristic
14	C₂×C₃×C₄×D₉	—	2	1	no	—
15	C₂×C₃×Dic₁₈	C₂²	1	1	yes	characteristic
16	C₃×C₉×C₄⋊C₄	—	2	1	no	—
17	C₃×C₉×C₄⋊C₄	C₂²	1	2	yes	—
18	C₃×#3667	—	2	2	no	—
19	C₂×C₃×C₉⋊C₈	C₂²	1	2	yes	—
20	C₂×C₃×#235	—	3	1	no	—
21	C₂×C₃²×C₄⋊C₄	D₃	1	1	yes	characteristic
22	C₂×C₃×#208	—	3	1	no	—
23	C₂×#3697	C₂×C₃	1	1	yes	characteristic
24	C₃×#810	—	3	2	no	—
25	C₃×#809	—	3	2	no	—
26	C₂×C₉×C₄⋊C₄	—	2	1	no	—
27	C₂×C₉×C₄⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
28	C₂×#3667	C₂×C₃	1	1	yes	characteristic, complemented
29	#63369	C₂×C₃	1	2	yes	complemented
30	#63368	C₂×C₃	1	2	yes	complemented
31	C₂³×C₃×C₉	D₄	1	1	yes	characteristic
32	C₂²×C₃×D₉	—	2	1	no	—
33	C₂×C₃×C₄×C₉	—	2	2	no	—
34	C₂×C₃×C₄×C₉	—	4	2	no	—
35	C₂×C₃×C₄×C₉	C₂×C₄	1	2	yes	—
36	C₂×C₃×C₄×C₉	D₄	1	1	yes	characteristic
37	C₂×C₃×C₄×C₉	D₄	1	2	yes	—
38	C₂×C₃×C₄×C₉	C₂³	1	1	yes	characteristic
39	C₃×#611	—	2	4	no	—
40	C₂×C₃×Dic₉	—	2	1	no	—
41	C₃×D₃₆	—	2	1	no	—
42	C₃×D₃₆	C₂×C₄	1	2	yes	complemented
43	C₃×C₄×D₉	—	2	4	no	—
44	C₃×Dic₁₈	—	2	1	no	—
45	C₃×Dic₁₈	C₂×C₄	1	2	yes	complemented
46	C₃×C₉⋊C₈	—	2	2	no	—
47	C₃×#417	—	9	1	no	—
48	#4966	—	3	1	no	—
49	C₂²×C₃²×C₄	—	2	1	no	—
50	C₂²×C₃²×C₄	C₂×D₃	1	1	yes	characteristic
51	C₂×C₃×#67	—	6	1	no	—
52	C₃×#235	—	3	4	no	—
53	C₃×#235	—	6	2	no	—
54	C₂×C₃×D₁₂	—	3	1	no	—
55	C₂×C₃×C₄×D₃	—	6	1	no	—
56	C₂×C₃×Dic₆	—	3	1	no	—
57	C₃²×C₄⋊C₄	—	2	1	no	—
58	C₃²×C₄⋊C₄	C₂×D₃	1	2	yes	—
59	C₃×#208	—	6	2	no	—
60	C₂×C₃×C₃⋊C₈	—	3	2	no	—
61	C₂²×C₄×C₉	—	2	1	no	—
62	C₂²×C₄×C₉	—	2	2	no	—
63	C₂²×C₄×C₉	—	2	1	no	—
64	C₂²×C₄×C₉	C₂²×C₃	1	1	yes	characteristic
65	C₂×#611	—	2	1	no	—
66	#3697	—	2	2	no	—
67	#3697	C₃×C₄	1	4	yes	complemented
68	C₂×D₃₆	C₂²×C₃	1	1	yes	characteristic
69	C₂×C₄×D₉	—	2	1	no	—
70	C₂×Dic₁₈	C₂²×C₃	1	1	yes	characteristic
71	C₉×C₄⋊C₄	—	2	2	no	—
72	C₉×C₄⋊C₄	—	2	2	no	—
73	C₉×C₄⋊C₄	—	2	1	no	—
74	C₉×C₄⋊C₄	C₂²×C₃	1	2	yes	—
75	#3667	—	2	2	no	—
76	C₂×C₉⋊C₈	C₂²×C₃	1	2	yes	—
77	C₂²×C₃×C₉	—	2	1	no	—
78	C₂²×C₃×C₉	—	2	1	no	—
79	C₂²×C₃×C₉	C₂²⋊C₄	1	2	yes	—
80	C₂²×C₃×C₉	C₂×D₄	1	1	yes	characteristic
81	C₂×C₃×D₉	—	2	2	no	—
82	C₂×C₃×D₉	—	4	1	no	—
83	C₂×C₃×D₉	—	4	1	no	—
84	C₃×C₄×C₉	—	4	2	no	—
85	C₃×C₄×C₉	C₂²⋊C₄	1	2	yes	—
86	C₃×C₄×C₉	C₂²×C₄	1	1	yes	characteristic
87	C₃×C₄×C₉	C₂×D₄	1	1	yes	characteristic
88	C₃×Dic₉	—	2	2	no	—
89	C₂×C₃×#41	—	9	1	no	—
90	C₂×#235	—	3	1	no	—
91	C₂×C₃×M₁₆	—	9	1	no	—
92	C₂×C₃×C₄⋊C₄	—	2	1	no	—
93	C₂×C₃×C₄⋊C₄	D₉	1	1	yes	characteristic, complemented
94	C₂×C₃×C₄⋊C₄	C₃×D₃	1	1	yes	characteristic
95	C₂×#208	—	3	1	no	—
96	C₃×#103	—	9	2	no	—
97	C₃×#102	—	9	2	no	—
98	#810	—	3	2	no	—
99	#809	—	3	2	no	—
100	C₂³×C₃²	#67	1	1	yes	characteristic
101	C₂²×C₃×D₃	—	6	1	no	—
102	C₂×C₃²×C₄	—	2	2	no	—
103	C₂×C₃²×C₄	—	4	2	no	—
104	C₂×C₃²×C₄	C₄×D₃	1	2	yes	—
105	C₂×C₃²×C₄	D₁₂	1	2	yes	—
106	C₂×C₃²×C₄	#67	1	1	yes	characteristic
107	C₂×C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
108	C₃×#67	—	6	4	no	—
109	C₂×C₃×Dic₃	—	6	1	no	—
110	C₃×D₁₂	—	3	2	no	—
111	C₃×D₁₂	—	6	1	no	—
112	C₃×C₄×D₃	—	6	4	no	—
113	C₃×Dic₆	—	3	2	no	—
114	C₃×Dic₆	—	6	1	no	—
115	C₂³×C₉	—	2	1	no	—
116	C₂³×C₉	C₃×D₄	1	1	yes	characteristic
117	C₂²×D₉	—	2	1	no	—
118	C₃×C₃⋊C₈	—	6	2	no	—
119	C₂×C₄×C₉	—	2	4	no	—
120	C₂×C₄×C₉	—	2	2	no	—
121	C₂×C₄×C₉	—	2	2	no	—
122	C₂×C₄×C₉	—	2	2	no	—
123	C₂×C₄×C₉	—	2	1	no	—
124	C₂×C₄×C₉	—	2	1	no	—
125	C₂×C₄×C₉	—	4	4	no	—
126	C₂×C₄×C₉	—	4	2	no	—
127	C₂×C₄×C₉	C₂×C₃×C₄	1	2	yes	—
128	C₂×C₄×C₉	C₃×D₄	1	2	yes	—
129	C₂×C₄×C₉	C₃×D₄	1	1	yes	characteristic
130	C₂×C₄×C₉	C₂³×C₃	1	1	yes	characteristic
131	#611	—	2	4	no	—
132	C₂×Dic₉	—	2	1	no	—
133	D₃₆	—	2	1	no	—
134	D₃₆	C₂×C₃×C₄	1	2	yes	complemented
135	C₄×D₉	—	2	4	no	—
136	Dic₁₈	—	2	1	no	—
137	Dic₁₈	C₂×C₃×C₄	1	2	yes	complemented
138	C₉⋊C₈	—	2	2	no	—
139	#417	—	9	1	no	Sylow
140	C₂×C₃×C₉	—	2	2	no	—
141	C₂×C₃×C₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
142	C₂×C₃×C₉	AGL(1,ℤ/8)	1	1	yes	characteristic
143	C₂×C₃×C₉	#137	1	1	yes	characteristic
144	C₃×D₉	—	4	2	no	—
145	C₃×#41	—	9	4	no	—
146	C₃×#41	—	18	2	no	—
147	C₂×C₃×Q₈	—	9	1	no	—
148	C₂×C₃×D₄	—	9	1	no	—
149	C₂×C₃×D₄	—	18	1	no	—
150	C₂²×C₃×C₄	—	2	2	no	—
151	C₂²×C₃×C₄	—	2	1	no	—
152	C₂²×C₃×C₄	—	2	1	no	—
153	C₂²×C₃×C₄	—	2	1	no	—
154	C₂²×C₃×C₄	—	18	1	no	—
155	C₂²×C₃×C₄	C₂×D₉	1	1	yes	characteristic
156	C₂²×C₃×C₄	C₂×C₃×D₃	1	1	yes	characteristic
157	C₂×#67	—	6	1	no	—
158	#235	—	3	4	no	—
159	#235	—	6	2	no	—
160	C₂×D₁₂	—	3	1	no	—
161	C₂×C₄×D₃	—	6	1	no	—
162	C₂×Dic₆	—	3	1	no	—
163	C₃×M₁₆	—	18	2	no	—
164	C₂×C₃×C₈	—	9	2	no	—
165	C₃×C₄⋊C₄	—	2	2	no	—
166	C₃×C₄⋊C₄	—	2	1	no	—
167	C₃×C₄⋊C₄	—	2	1	no	—
168	C₃×C₄⋊C₄	—	2	2	no	—
169	C₃×C₄⋊C₄	C₂×D₉	1	2	yes	—
170	C₃×C₄⋊C₄	C₂×C₃×D₃	1	2	yes	—
171	#208	—	6	2	no	—
172	C₂×C₃⋊C₈	—	3	2	no	—
173	C₂²×C₃²	—	2	1	no	—
174	C₂²×C₃²	—	2	1	no	—
175	C₂²×C₃²	(C₂×D₃)⋊C₄	1	2	yes	—
176	C₂²×C₃²	C₂×#67	1	1	yes	characteristic
177	C₂×C₃×D₃	—	6	2	no	—
178	C₂×C₃×D₃	—	12	1	no	—
179	C₂×C₃×D₃	—	12	1	no	—
180	C₃²×C₄	—	4	2	no	—
181	C₃²×C₄	(C₂×D₃)⋊C₄	1	2	yes	—
182	C₃²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
183	C₃²×C₄	C₂×D₁₂	1	1	yes	characteristic
184	C₃×Dic₃	—	6	2	no	—
185	C₂²×C₉	—	2	2	no	—
186	C₂²×C₉	—	2	2	no	—
187	C₂²×C₉	—	2	1	no	—
188	C₂²×C₉	—	2	1	no	—
189	C₂²×C₉	—	2	2	no	—
190	C₂²×C₉	—	2	1	no	—
191	C₂²×C₉	C₃×C₂²⋊C₄	1	2	yes	—
192	C₂²×C₉	C₂×C₃×D₄	1	1	yes	characteristic
193	C₂×D₉	—	2	2	no	—
194	C₂×D₉	—	4	1	no	—
195	C₂×D₉	—	4	1	no	—
196	C₄×C₉	—	2	2	no	—
197	C₄×C₉	—	2	1	no	—
198	C₄×C₉	—	2	1	no	—
199	C₄×C₉	—	4	4	no	—
200	C₄×C₉	—	4	2	no	—
201	C₄×C₉	C₃×C₂²⋊C₄	1	2	yes	—
202	C₄×C₉	C₂²×C₃×C₄	1	1	yes	characteristic
203	C₄×C₉	C₂×C₃×D₄	1	1	yes	characteristic
204	Dic₉	—	2	2	no	—
205	C₂×#41	—	9	1	no	—
206	C₂×M₁₆	—	9	1	no	—
207	C₂×C₄⋊C₄	C₃×D₉	1	1	yes	characteristic, complemented
208	#103	—	9	2	no	—
209	#102	—	9	2	no	—
210	C₃×C₉	#417	1	1	yes	characteristic, complemented, Sylow
211	C₂³×C₃	—	2	1	no	—
212	C₂³×C₃	—	18	1	no	—
213	C₂³×C₃	#611	1	1	yes	characteristic
214	C₂³×C₃	C₃×#67	1	1	yes	characteristic
215	C₂²×D₃	—	6	1	no	—
216	C₃×Q₈	—	9	2	no	—
217	C₃×Q₈	—	18	1	no	—
218	C₃×D₄	—	9	2	no	—
219	C₃×D₄	—	18	4	no	—
220	C₃×D₄	—	18	1	no	—
221	C₂×C₃×C₄	—	2	4	no	—
222	C₂×C₃×C₄	—	2	2	no	—
223	C₂×C₃×C₄	—	2	2	no	—
224	C₂×C₃×C₄	—	2	2	no	—
225	C₂×C₃×C₄	—	2	2	no	—
226	C₂×C₃×C₄	—	2	1	no	—
227	C₂×C₃×C₄	—	2	1	no	—
228	C₂×C₃×C₄	—	4	2	no	—
229	C₂×C₃×C₄	—	4	4	no	—
230	C₂×C₃×C₄	—	4	2	no	—
231	C₂×C₃×C₄	—	18	1	no	—
232	C₂×C₃×C₄	—	18	4	no	—
233	C₂×C₃×C₄	C₄×D₉	1	2	yes	—
234	C₂×C₃×C₄	D₃₆	1	2	yes	—
235	C₂×C₃×C₄	#611	1	1	yes	characteristic
236	C₂×C₃×C₄	C₂²×D₉	1	1	yes	characteristic
237	C₂×C₃×C₄	C₃×C₄×D₃	1	2	yes	—
238	C₂×C₃×C₄	C₃×D₁₂	1	2	yes	—
239	C₂×C₃×C₄	C₃×#67	1	1	yes	characteristic
240	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
241	#67	—	6	4	no	—
242	C₂×Dic₃	—	6	1	no	—
243	D₁₂	—	3	2	no	—
244	D₁₂	—	6	1	no	—
245	C₄×D₃	—	6	4	no	—
246	Dic₆	—	3	2	no	—
247	Dic₆	—	6	1	no	—
248	C₃×C₈	—	18	2	no	—
249	C₃⋊C₈	—	6	2	no	—
250	C₂×C₃²	—	2	2	no	—
251	C₂×C₃²	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
252	C₂×C₃²	#932	1	1	yes	characteristic
253	C₂×C₃²	#942	1	1	yes	characteristic
254	C₃×D₃	—	12	2	no	—
255	C₂×C₉	—	2	4	no	—
256	C₂×C₉	—	2	2	no	—
257	C₂×C₉	—	2	1	no	—
258	C₂×C₉	—	2	1	no	—
259	C₂×C₉	—	2	1	no	—
260	C₂×C₉	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
261	C₂×C₉	C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
262	C₂×C₉	C₃×#137	1	1	yes	characteristic
263	D₉	—	4	2	no	—
264	#41	—	9	4	no	—
265	#41	—	18	2	no	—
266	C₂×Q₈	—	9	1	no	—
267	C₂×D₄	—	9	1	no	—
268	C₂×D₄	—	18	1	no	—
269	C₂²×C₄	—	2	1	no	—
270	C₂²×C₄	—	18	1	no	—
271	C₂²×C₄	C₂×C₃×D₉	1	1	yes	characteristic
272	M₁₆	—	18	2	no	—
273	C₂×C₈	—	9	2	no	—
274	C₄⋊C₄	—	2	1	no	—
275	C₄⋊C₄	C₂×C₃×D₉	1	2	yes	—
276	C₂²×C₃	—	2	2	no	—
277	C₂²×C₃	—	2	2	no	—
278	C₂²×C₃	—	2	1	no	—
279	C₂²×C₃	—	2	1	no	—
280	C₂²×C₃	—	2	1	no	—
281	C₂²×C₃	—	2	1	no	—
282	C₂²×C₃	—	2	1	no	—
283	C₂²×C₃	—	2	2	no	—
284	C₂²×C₃	—	18	2	no	—
285	C₂²×C₃	—	36	1	no	—
286	C₂²×C₃	—	36	1	no	—
287	C₂²×C₃	(C₂×D₉)⋊C₄	1	2	yes	—
288	C₂²×C₃	C₂×#611	1	1	yes	characteristic
289	C₂²×C₃	C₃×(C₂×D₃)⋊C₄	1	2	yes	—
290	C₂²×C₃	C₂×C₃×#67	1	1	yes	characteristic
291	C₂×D₃	—	6	2	no	—
292	C₂×D₃	—	12	1	no	—
293	C₂×D₃	—	12	1	no	—
294	C₃×C₄	—	2	1	no	—
295	C₃×C₄	—	2	1	no	—
296	C₃×C₄	—	2	2	no	—
297	C₃×C₄	—	4	4	no	—
298	C₃×C₄	—	4	2	no	—
299	C₃×C₄	—	4	2	no	—
300	C₃×C₄	—	18	2	no	—
301	C₃×C₄	(C₂×D₉)⋊C₄	1	2	yes	—
302	C₃×C₄	C₂×C₄×D₉	1	1	yes	characteristic
303	C₃×C₄	C₂×D₃₆	1	1	yes	characteristic
304	C₃×C₄	C₃×(C₂×D₃)⋊C₄	1	2	yes	—
305	C₃×C₄	C₂×C₃×C₄×D₃	1	1	yes	characteristic
306	C₃×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
307	Dic₃	—	6	2	no	—
308	C₃²	#4966	1	1	yes	characteristic
309	C₉	—	2	1	no	—
310	C₉	C₃×#417	1	1	yes	characteristic, complemented
311	C₂³	—	18	1	no	—
312	C₂³	C₃×#611	1	1	yes	characteristic
313	Q₈	—	9	2	no	—
314	Q₈	—	18	1	no	—
315	D₄	—	9	2	no	—
316	D₄	—	18	4	no	—
317	D₄	—	18	1	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	4	2	no	—
320	C₂×C₄	—	18	1	no	—
321	C₂×C₄	—	18	4	no	—
322	C₂×C₄	C₃×C₄×D₉	1	2	yes	—
323	C₂×C₄	C₃×D₃₆	1	2	yes	—
324	C₂×C₄	C₃×#611	1	1	yes	characteristic
325	C₂×C₄	C₂²×C₃×D₉	1	1	yes	characteristic
326	C₈	—	18	2	no	—
327	C₂×C₃	—	2	4	no	—
328	C₂×C₃	—	2	2	no	—
329	C₂×C₃	—	2	2	no	—
330	C₂×C₃	—	2	1	no	—
331	C₂×C₃	—	2	1	no	—
332	C₂×C₃	—	2	1	no	—
333	C₂×C₃	—	36	2	no	—
334	C₂×C₃	C₂×(C₂×D₉)⋊C₄	1	1	yes	characteristic
335	C₂×C₃	#63495	1	1	yes	characteristic
336	C₂×C₃	#63505	1	1	yes	characteristic
337	C₂×C₃	C₂×C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
338	C₂×C₃	C₃×#932	1	1	yes	characteristic
339	C₂×C₃	C₃×#942	1	1	yes	characteristic
340	D₃	—	12	2	no	—
341	C₂²	—	2	1	no	—
342	C₂²	—	2	1	no	—
343	C₂²	—	18	2	no	—
344	C₂²	—	36	1	no	—
345	C₂²	—	36	1	no	—
346	C₂²	C₃×(C₂×D₉)⋊C₄	1	2	yes	—
347	C₂²	C₂×C₃×#611	1	1	yes	characteristic
348	C₄	—	4	2	no	—
349	C₄	—	18	2	no	—
350	C₄	C₃×(C₂×D₉)⋊C₄	1	2	yes	—
351	C₄	C₂×C₃×C₄×D₉	1	1	yes	characteristic
352	C₄	C₂×C₃×D₃₆	1	1	yes	characteristic
353	C₃	—	2	1	no	—
354	C₃	#10588649	1	1	yes	characteristic, direct product factor
355	C₃	C₃×#4966	1	1	yes	characteristic
356	C₂	—	2	2	no	—
357	C₂	—	36	2	no	—
358	C₂	C₂×C₃×(C₂×D₉)⋊C₄	1	1	yes	characteristic
359	C₂	C₃×#63495	1	1	yes	characteristic
360	C₂	C₃×#63505	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂×#611
commutator	C₄×C₉	C₂²×C₃×C₄
Frattini	C₂×C₃×C₄	C₂²×C₃×D₃
Fitting	C₂×C₃×C₉×C₄⋊C₄	C₂
socle	C₂²×C₃²	C₂×#67
prime radical	C₂×C₃×#3697	C₂
cosocle	C₂×C₄×C₉	C₂³×C₃
hypercenter	C₂×C₃×C₄⋊C₄	D₉
hypocenter	C₉	C₃×#417
LCS	G ▷ C₄×C₉ ▷ C₂×C₉ ▷ C₉
UCS	C₁ ◁ C₂²×C₃ ◁ C₂²×C₃×C₄ ◁ C₂×C₃×C₄⋊C₄

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×C₉×C₄⋊C₄	C₂	semidirect
3. C₂×C₃×#3667	C₂	semidirect
4. C₃×#63369	C₂	semidirect
5. C₃×#63368	C₂	semidirect
7. #10588649	C₃	direct (N × H)
12. C₃×#3697	C₄	semidirect
27. C₂×C₉×C₄⋊C₄	C₂×C₃	semidirect
28. C₂×#3667	C₂×C₃	semidirect
29. #63369	C₂×C₃	semidirect
30. #63368	C₂×C₃	semidirect
42. C₃×D₃₆	C₂×C₄	semidirect
45. C₃×Dic₁₈	C₂×C₄	semidirect
67. #3697	C₃×C₄	semidirect
93. C₂×C₃×C₄⋊C₄	D₉	semidirect
134. D₃₆	C₂×C₃×C₄	semidirect
137. Dic₁₈	C₂×C₃×C₄	semidirect
207. C₂×C₄⋊C₄	C₃×D₉	semidirect
210. C₃×C₉	#417	semidirect
310. C₉	C₃×#417	semidirect
354. C₃	#10588649	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×#3697	2
C₂×C₃×C₉×C₄⋊C₄	2
C₂×C₃×#3667	2
C₃×#63369	2
C₃×#63368	2
C₃×#4966	3
#10588649	3

Subgroups — C3×#10588649 #13142544

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#10588649 #13142544