Subgroups — #10588484⋊C₃ #13141949

Order 1728.

495 conjugacy classes of subgroups.

The subgroup lattice has 367 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#88724	C₂	1	1	yes	maximal, characteristic
2	C₂×C₈×AGL(1,ℤ/9)	C₂	1	1	yes	maximal, characteristic, complemented
3	#63454⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
4	3₋¹⁺²×#103	C₂	1	1	yes	maximal, characteristic, complemented
5	#63395⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
6	#63380⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
7	#63369⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#4804	—	3	1	no	maximal
9	#10588484	C₃	1	1	yes	maximal, characteristic, complemented
10	C₂×Q₈×3₋¹⁺²	C₂²	1	1	yes	characteristic
11	#88724	—	2	2	no	—
12	#88724	C₄	1	4	yes	complemented
13	C₂×C₄⋊AGL(1,ℤ/9)	—	2	1	no	—
14	C₂×C₄⋊AGL(1,ℤ/9)	C₂²	1	1	yes	characteristic
15	C₂×C₄×AGL(1,ℤ/9)	—	2	1	no	—
16	C₂×C₄×AGL(1,ℤ/9)	C₂²	1	1	yes	characteristic
17	C₂×C₈×3₋¹⁺²	C₂²	1	1	yes	characteristic
18	C₄⋊C₄×3₋¹⁺²	C₂²	1	1	yes	characteristic
19	(C₂×AGL(1,ℤ/9))⋊C₄	—	2	1	no	—
20	C₄⋊(3₋¹⁺²⋊C₄)	C₂²	1	1	yes	characteristic
21	C₄×3₋¹⁺²⋊C₄	—	2	1	no	—
22	C₂×3₋¹⁺²⋊C₈	C₂²	1	1	yes	characteristic
23	C₈×AGL(1,ℤ/9)	—	2	2	no	—
24	C₂×C₃×#239	—	3	1	no	—
25	C₂×C₃×D₃×C₈	—	3	1	no	—
26	C₃×#892	—	3	1	no	—
27	C₂×#3701	C₂×C₃	1	1	yes	characteristic
28	C₃²×#103	D₃	1	1	yes	characteristic
29	C₃×#835	—	3	1	no	—
30	C₃×#821	—	3	1	no	—
31	C₃×#809	—	3	1	no	—
32	C₂×C₈×D₉	C₂×C₃	1	1	yes	characteristic, complemented
33	#63454	C₂×C₃	1	1	yes	characteristic, complemented
34	C₉×#103	—	2	1	no	—
35	C₉×#103	C₂×C₃	1	1	yes	characteristic, complemented
36	#63395	C₂×C₃	1	1	yes	characteristic, complemented
37	#63380	C₂×C₃	1	1	yes	characteristic, complemented
38	#63369	C₂×C₃	1	1	yes	characteristic, complemented
39	C₂²×AGL(1,ℤ/9)	—	2	1	no	—
40	C₂²×AGL(1,ℤ/9)	D₄	1	1	yes	characteristic
41	Q₈×3₋¹⁺²	—	2	1	no	—
42	Q₈×3₋¹⁺²	C₂×C₄	1	2	yes	—
43	C₂×C₄×3₋¹⁺²	—	2	1	no	—
44	C₂×C₄×3₋¹⁺²	—	2	1	no	—
45	C₂×C₄×3₋¹⁺²	C₂³	1	1	yes	characteristic
46	C₂×3₋¹⁺²⋊C₄	—	2	1	no	—
47	C₂×3₋¹⁺²⋊C₄	D₄	1	1	yes	characteristic
48	C₄⋊AGL(1,ℤ/9)	—	2	4	no	—
49	C₄⋊AGL(1,ℤ/9)	—	2	1	no	—
50	C₄⋊AGL(1,ℤ/9)	C₂×C₄	1	2	yes	—
51	C₄×AGL(1,ℤ/9)	—	2	4	no	—
52	C₄×AGL(1,ℤ/9)	C₂×C₄	1	2	yes	—
53	C₄×AGL(1,ℤ/9)	D₄	1	2	yes	—
54	C₈×3₋¹⁺²	—	2	1	no	—
55	3₋¹⁺²⋊C₈	—	2	1	no	—
56	C₃×#416	—	9	1	no	—
57	#4804	—	3	1	no	—
58	C₂×C₃²×Q₈	C₂×D₃	1	1	yes	characteristic
59	C₃×#239	—	3	4	no	—
60	C₃×#239	—	6	2	no	—
61	C₂×C₃×D₁₂	—	3	1	no	—
62	C₂×C₃×D₁₂	—	6	1	no	—
63	C₂×C₃×C₄×D₃	—	3	1	no	—
64	C₂×C₃×C₄×D₃	—	6	1	no	—
65	C₂×C₃²×C₈	C₂×D₃	1	1	yes	characteristic
66	C₃²×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
67	C₃×(C₂×D₃)⋊C₄	—	6	1	no	—
68	C₃×C₄⋊Dic₃	—	3	1	no	—
69	C₃×C₄×Dic₃	—	6	1	no	—
70	C₂×C₃×C₃⋊C₈	—	3	1	no	—
71	C₃×D₃×C₈	—	6	2	no	—
72	C₂×Q₈×C₉	—	2	1	no	—
73	C₂×Q₈×C₉	C₂²×C₃	1	1	yes	characteristic
74	#3701	—	2	2	no	—
75	#3701	C₃×C₄	1	4	yes	complemented
76	C₂×D₃₆	—	2	1	no	—
77	C₂×D₃₆	C₂²×C₃	1	1	yes	characteristic
78	C₂×C₄×D₉	—	2	1	no	—
79	C₂×C₄×D₉	C₂²×C₃	1	1	yes	characteristic
80	C₂×C₈×C₉	—	2	1	no	—
81	C₂×C₈×C₉	C₂²×C₃	1	1	yes	characteristic
82	C₉×C₄⋊C₄	—	2	1	no	—
83	C₉×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
84	(C₂×D₉)⋊C₄	—	2	1	no	—
85	C₄⋊Dic₉	C₂²×C₃	1	1	yes	characteristic
86	C₄×Dic₉	—	2	1	no	—
87	C₂×C₉⋊C₈	C₂²×C₃	1	1	yes	characteristic
88	C₈×D₉	—	2	2	no	—
89	C₂²×3₋¹⁺²	C₂×D₄	1	1	yes	characteristic
90	C₂×AGL(1,ℤ/9)	—	2	1	no	—
91	C₂×AGL(1,ℤ/9)	—	2	1	no	—
92	C₂×AGL(1,ℤ/9)	—	2	2	no	—
93	C₂×AGL(1,ℤ/9)	—	4	1	no	—
94	C₂×AGL(1,ℤ/9)	—	4	1	no	—
95	C₂×AGL(1,ℤ/9)	C₂²⋊C₄	1	2	yes	—
96	C₄×3₋¹⁺²	—	2	2	no	—
97	C₄×3₋¹⁺²	—	4	1	no	—
98	C₄×3₋¹⁺²	C₂²×C₄	1	1	yes	characteristic
99	C₄×3₋¹⁺²	C₂×D₄	1	1	yes	characteristic
100	3₋¹⁺²⋊C₄	—	4	1	no	—
101	3₋¹⁺²⋊C₄	C₂²⋊C₄	1	2	yes	—
102	C₂×C₃×#41	—	9	1	no	—
103	C₂×#239	—	3	1	no	—
104	C₂²×C₃×C₈	—	9	1	no	—
105	C₃×#117	—	9	1	no	—
106	C₂×D₃×C₈	—	3	1	no	—
107	#892	—	3	1	no	—
108	C₃×#103	—	3	1	no	—
109	C₃×#103	—	9	1	no	—
110	C₃×#103	C₃×D₃	1	1	yes	characteristic
111	C₃×#102	—	9	1	no	—
112	C₃×#102	—	9	1	no	—
113	#835	—	3	1	no	—
114	#821	—	3	1	no	—
115	#809	—	3	1	no	—
116	C₂²×C₃×D₃	—	3	1	no	—
117	C₂²×C₃×D₃	—	6	1	no	—
118	C₃²×Q₈	—	2	1	no	—
119	C₃²×Q₈	C₄×D₃	1	2	yes	—
120	C₂×C₃²×C₄	—	2	1	no	—
121	C₂×C₃²×C₄	—	2	1	no	—
122	C₂×C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
123	C₂×C₃×Dic₃	—	3	1	no	—
124	C₂×C₃×Dic₃	—	6	1	no	—
125	C₃×D₁₂	—	3	2	no	—
126	C₃×D₁₂	—	6	4	no	—
127	C₃×D₁₂	—	6	1	no	—
128	C₃×C₄×D₃	—	3	2	no	—
129	C₃×C₄×D₃	—	3	2	no	—
130	C₃×C₄×D₃	—	6	4	no	—
131	C₂²×D₉	—	2	1	no	—
132	C₂²×D₉	C₃×D₄	1	1	yes	characteristic
133	C₃²×C₈	—	2	1	no	—
134	C₃×C₃⋊C₈	—	6	1	no	—
135	Q₈×C₉	—	2	1	no	—
136	Q₈×C₉	—	2	2	no	—
137	Q₈×C₉	—	4	1	no	—
138	Q₈×C₉	C₂×C₃×C₄	1	2	yes	—
139	C₂×C₄×C₉	—	2	1	no	—
140	C₂×C₄×C₉	—	2	1	no	—
141	C₂×C₄×C₉	—	2	1	no	—
142	C₂×C₄×C₉	—	4	1	no	—
143	C₂×C₄×C₉	—	4	1	no	—
144	C₂×C₄×C₉	C₂³×C₃	1	1	yes	characteristic
145	C₂×Dic₉	—	2	1	no	—
146	C₂×Dic₉	C₃×D₄	1	1	yes	characteristic
147	D₃₆	—	2	4	no	—
148	D₃₆	—	2	1	no	—
149	D₃₆	C₂×C₃×C₄	1	2	yes	—
150	C₄×D₉	—	2	4	no	—
151	C₄×D₉	C₂×C₃×C₄	1	2	yes	—
152	C₄×D₉	C₃×D₄	1	2	yes	—
153	C₈×C₉	—	2	1	no	—
154	C₈×C₉	—	4	1	no	—
155	C₉⋊C₈	—	2	1	no	—
156	#416	—	9	1	no	Sylow
157	C₂×3₋¹⁺²	C₂×C₂²⋊C₄	1	1	yes	characteristic
158	C₂×3₋¹⁺²	#135	1	1	yes	characteristic
159	C₂×3₋¹⁺²	#135	1	1	yes	characteristic
160	AGL(1,ℤ/9)	—	2	2	no	—
161	AGL(1,ℤ/9)	—	4	2	no	—
162	C₃×#41	—	9	4	no	—
163	C₃×#41	—	18	2	no	—
164	C₂×C₃×Q₈	—	3	1	no	—
165	C₂×C₃×Q₈	C₂×C₃×D₃	1	1	yes	characteristic
166	C₂×C₃×D₄	—	9	1	no	—
167	C₂×C₃×D₄	—	18	1	no	—
168	C₂²×C₃×C₄	—	9	1	no	—
169	C₂²×C₃×C₄	—	18	1	no	—
170	#239	—	3	4	no	—
171	#239	—	6	2	no	—
172	C₂×D₁₂	—	3	1	no	—
173	C₂×D₁₂	—	6	1	no	—
174	C₂×C₄×D₃	—	3	1	no	—
175	C₂×C₄×D₃	—	6	1	no	—
176	C₂×C₃×C₈	—	3	1	no	—
177	C₂×C₃×C₈	—	9	1	no	—
178	C₂×C₃×C₈	—	18	2	no	—
179	C₂×C₃×C₈	C₂×C₃×D₃	1	1	yes	characteristic
180	C₃×C₄⋊C₄	—	3	1	no	—
181	C₃×C₄⋊C₄	—	9	1	no	—
182	C₃×C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic
183	C₃×C₂²⋊C₄	—	18	1	no	—
184	C₃×C₄²	—	18	1	no	—
185	(C₂×D₃)⋊C₄	—	6	1	no	—
186	C₄⋊Dic₃	—	3	1	no	—
187	C₄×Dic₃	—	6	1	no	—
188	C₂×C₃⋊C₈	—	3	1	no	—
189	D₃×C₈	—	6	2	no	—
190	C₂²×C₃²	D₃×D₄	1	1	yes	characteristic
191	C₂×C₃×D₃	—	3	2	no	—
192	C₂×C₃×D₃	—	6	1	no	—
193	C₂×C₃×D₃	—	6	1	no	—
194	C₂×C₃×D₃	—	6	2	no	—
195	C₂×C₃×D₃	—	12	1	no	—
196	C₂×C₃×D₃	—	12	1	no	—
197	C₃²×C₄	—	2	2	no	—
198	C₃²×C₄	—	4	1	no	—
199	C₃²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
200	C₃²×C₄	D₃×D₄	1	1	yes	characteristic
201	C₃×Dic₃	—	3	2	no	—
202	C₃×Dic₃	—	12	1	no	—
203	C₂²×C₉	—	2	1	no	—
204	C₂²×C₉	C₂×C₃×D₄	1	1	yes	characteristic
205	C₂×D₉	—	2	1	no	—
206	C₂×D₉	—	2	1	no	—
207	C₂×D₉	—	2	2	no	—
208	C₂×D₉	—	4	1	no	—
209	C₂×D₉	—	4	1	no	—
210	C₂×D₉	C₃×C₂²⋊C₄	1	2	yes	—
211	C₄×C₉	—	2	2	no	—
212	C₄×C₉	—	2	1	no	—
213	C₄×C₉	—	2	1	no	—
214	C₄×C₉	—	4	2	no	—
215	C₄×C₉	—	4	1	no	—
216	C₄×C₉	—	8	1	no	—
217	C₄×C₉	C₂²×C₃×C₄	1	1	yes	characteristic
218	C₄×C₉	C₂×C₃×D₄	1	1	yes	characteristic
219	Dic₉	—	4	1	no	—
220	Dic₉	C₃×C₂²⋊C₄	1	2	yes	—
221	C₂×#41	—	9	1	no	—
222	C₂²×C₈	—	9	1	no	—
223	#117	—	9	1	no	—
224	#103	—	9	1	no	—
225	#103	AGL(1,ℤ/9)	1	1	yes	characteristic, complemented
226	#102	—	9	1	no	—
227	#102	—	9	1	no	—
228	3₋¹⁺²	#416	1	1	yes	characteristic, complemented, Sylow
229	C₂³×C₃	—	9	1	no	—
230	C₂³×C₃	—	18	1	no	—
231	C₂²×D₃	—	3	1	no	—
232	C₂²×D₃	—	6	1	no	—
233	C₃×Q₈	—	2	1	no	—
234	C₃×Q₈	—	3	2	no	—
235	C₃×Q₈	—	6	1	no	—
236	C₃×Q₈	C₃×C₄×D₃	1	2	yes	—
237	C₃×D₄	—	9	2	no	—
238	C₃×D₄	—	18	1	no	—
239	C₃×D₄	—	18	4	no	—
240	C₂×C₃×C₄	—	2	1	no	—
241	C₂×C₃×C₄	—	2	1	no	—
242	C₂×C₃×C₄	—	3	1	no	—
243	C₂×C₃×C₄	—	6	1	no	—
244	C₂×C₃×C₄	—	6	1	no	—
245	C₂×C₃×C₄	—	9	2	no	—
246	C₂×C₃×C₄	—	9	2	no	—
247	C₂×C₃×C₄	—	9	1	no	—
248	C₂×C₃×C₄	—	18	4	no	—
249	C₂×C₃×C₄	—	18	1	no	—
250	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
251	C₂×Dic₃	—	3	1	no	—
252	C₂×Dic₃	—	6	1	no	—
253	D₁₂	—	3	2	no	—
254	D₁₂	—	6	4	no	—
255	D₁₂	—	6	1	no	—
256	C₄×D₃	—	3	2	no	—
257	C₄×D₃	—	3	2	no	—
258	C₄×D₃	—	6	4	no	—
259	C₃×C₈	—	2	1	no	—
260	C₃×C₈	—	6	1	no	—
261	C₃×C₈	—	18	1	no	—
262	C₃⋊C₈	—	6	1	no	—
263	C₂×C₃²	D₃×C₂²⋊C₄	1	1	yes	characteristic
264	C₂×C₃²	#916	1	1	yes	characteristic
265	C₂×C₃²	#919	1	1	yes	characteristic
266	C₃×D₃	—	6	2	no	—
267	C₃×D₃	—	12	2	no	—
268	C₂×C₉	—	2	1	no	—
269	C₂×C₉	—	2	1	no	—
270	C₂×C₉	—	2	1	no	—
271	C₂×C₉	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
272	C₂×C₉	C₃×#135	1	1	yes	characteristic
273	C₂×C₉	C₃×#135	1	1	yes	characteristic
274	D₉	—	2	2	no	—
275	D₉	—	4	2	no	—
276	#41	—	9	4	no	—
277	#41	—	18	2	no	—
278	C₂×Q₈	C₂×AGL(1,ℤ/9)	1	1	yes	characteristic
279	C₂×D₄	—	9	1	no	—
280	C₂×D₄	—	18	1	no	—
281	C₂²×C₄	—	9	1	no	—
282	C₂²×C₄	—	18	1	no	—
283	C₂×C₈	—	9	1	no	—
284	C₂×C₈	—	18	2	no	—
285	C₂×C₈	C₂×AGL(1,ℤ/9)	1	1	yes	characteristic
286	C₄⋊C₄	—	9	1	no	—
287	C₄⋊C₄	C₂×AGL(1,ℤ/9)	1	1	yes	characteristic
288	C₂²⋊C₄	—	18	1	no	—
289	C₄²	—	18	1	no	—
290	C₂²×C₃	—	3	1	no	—
291	C₂²×C₃	—	9	2	no	—
292	C₂²×C₃	—	18	1	no	—
293	C₂²×C₃	—	18	1	no	—
294	C₂²×C₃	—	18	2	no	—
295	C₂²×C₃	—	36	1	no	—
296	C₂²×C₃	—	36	1	no	—
297	C₂²×C₃	C₃×D₃×D₄	1	1	yes	characteristic
298	C₂×D₃	—	3	2	no	—
299	C₂×D₃	—	6	1	no	—
300	C₂×D₃	—	6	1	no	—
301	C₂×D₃	—	6	2	no	—
302	C₂×D₃	—	12	1	no	—
303	C₂×D₃	—	12	1	no	—
304	C₃×C₄	—	2	2	no	—
305	C₃×C₄	—	3	1	no	—
306	C₃×C₄	—	3	1	no	—
307	C₃×C₄	—	4	1	no	—
308	C₃×C₄	—	6	2	no	—
309	C₃×C₄	—	9	2	no	—
310	C₃×C₄	—	12	1	no	—
311	C₃×C₄	—	36	1	no	—
312	C₃×C₄	C₂×C₃×C₄×D₃	1	1	yes	characteristic
313	C₃×C₄	C₃×D₃×D₄	1	1	yes	characteristic
314	Dic₃	—	3	2	no	—
315	Dic₃	—	12	1	no	—
316	C₃²	#4804	1	1	yes	characteristic
317	C₉	—	2	1	no	—
318	C₉	C₃×#416	1	1	yes	characteristic, complemented
319	C₂³	—	9	1	no	—
320	C₂³	—	18	1	no	—
321	Q₈	—	2	1	no	—
322	Q₈	C₄×AGL(1,ℤ/9)	1	2	yes	—
323	D₄	—	9	2	no	—
324	D₄	—	18	4	no	—
325	D₄	—	18	1	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	2	1	no	—
328	C₂×C₄	—	9	1	no	—
329	C₂×C₄	—	9	2	no	—
330	C₂×C₄	—	9	2	no	—
331	C₂×C₄	—	18	4	no	—
332	C₂×C₄	—	18	1	no	—
333	C₂×C₄	C₂²×AGL(1,ℤ/9)	1	1	yes	characteristic
334	C₈	—	2	1	no	—
335	C₈	—	18	1	no	—
336	C₂×C₃	—	3	1	no	—
337	C₂×C₃	—	3	1	no	—
338	C₂×C₃	—	3	1	no	—
339	C₂×C₃	—	18	2	no	—
340	C₂×C₃	—	36	2	no	—
341	C₂×C₃	C₃×D₃×C₂²⋊C₄	1	1	yes	characteristic
342	C₂×C₃	C₃×#916	1	1	yes	characteristic
343	C₂×C₃	C₃×#919	1	1	yes	characteristic
344	D₃	—	6	2	no	—
345	D₃	—	12	2	no	—
346	C₂²	—	9	2	no	—
347	C₂²	—	18	1	no	—
348	C₂²	—	18	1	no	—
349	C₂²	—	18	2	no	—
350	C₂²	—	36	1	no	—
351	C₂²	—	36	1	no	—
352	C₂²	D₄×AGL(1,ℤ/9)	1	1	yes	characteristic
353	C₄	—	2	2	no	—
354	C₄	—	4	1	no	—
355	C₄	—	9	2	no	—
356	C₄	—	36	1	no	—
357	C₄	C₂×C₄×AGL(1,ℤ/9)	1	1	yes	characteristic
358	C₄	D₄×AGL(1,ℤ/9)	1	1	yes	characteristic
359	C₃	—	3	1	no	—
360	C₃	C₃×#4804	1	1	yes	characteristic
361	C₂	—	18	2	no	—
362	C₂	—	36	2	no	—
363	C₂	C₂²⋊C₄×AGL(1,ℤ/9)	1	1	yes	characteristic
364	C₂	#63478⋊C₃	1	1	yes	characteristic
365	C₂	#63481⋊C₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	D₄×AGL(1,ℤ/9)
commutator	C₄×C₉	C₂²×C₃×C₄
Frattini	C₂×C₃×C₄	C₂²×C₃×D₃
Fitting	3₋¹⁺²×#103	C₂
socle	C₂²×C₃	C₃×D₃×D₄
prime radical	C₂×#88724	C₂
cosocle	C₂×C₄×C₉	C₂³×C₃
hypercenter	#103	AGL(1,ℤ/9)
hypocenter	C₉	C₃×#416
LCS	G ▷ C₄×C₉ ▷ C₂×C₉ ▷ C₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄ ◁ #103

Complements

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

N	H ≅ G/N	type
2. C₂×C₈×AGL(1,ℤ/9)	C₂	semidirect
3. #63454⋊C₃	C₂	semidirect
4. 3₋¹⁺²×#103	C₂	semidirect
5. #63395⋊C₃	C₂	semidirect
6. #63380⋊C₃	C₂	semidirect
7. #63369⋊C₃	C₂	semidirect
9. #10588484	C₃	semidirect
12. #88724	C₄	semidirect
32. C₂×C₈×D₉	C₂×C₃	semidirect
33. #63454	C₂×C₃	semidirect
35. C₉×#103	C₂×C₃	semidirect
36. #63395	C₂×C₃	semidirect
37. #63380	C₂×C₃	semidirect
38. #63369	C₂×C₃	semidirect
75. #3701	C₃×C₄	semidirect
225. #103	AGL(1,ℤ/9)	semidirect
228. 3₋¹⁺²	#416	semidirect
318. C₉	C₃×#416	semidirect

Maximal subgroups

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

subgroup	index
C₂×#88724	2
C₂×C₈×AGL(1,ℤ/9)	2
#63454⋊C₃	2
3₋¹⁺²×#103	2
#63395⋊C₃	2
#63380⋊C₃	2
#63369⋊C₃	2
C₃×#4804	3
#10588484	3

Subgroups — #10588484⋊C3 #13141949

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #10588484⋊C₃ #13141949