Subgroups — C₉×#1854 #11766575

Order 1152.

474 conjugacy classes of subgroups.

The subgroup lattice has 363 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₉×#117	C₂	1	1	yes	maximal, characteristic
2	C₂×C₉×#107	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₉×#106	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₉×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic
5	C₉×#380	C₂	1	1	yes	maximal, characteristic
6	C₉×#340	C₂	1	1	yes	maximal, characteristic, complemented
7	C₉×#340	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#1854	C₃	1	1	yes	maximal, characteristic
9	C₂³×C₄×C₉	C₂²	1	1	yes	characteristic
10	C₂²×C₈×C₉	C₂²	1	1	yes	characteristic
11	C₂²×C₈×C₉	C₂²	1	1	yes	characteristic
12	C₉×#117	—	2	2	no	—
13	C₉×#117	—	2	2	no	—
14	C₂×C₉×C₄⋊C₄	C₂²	1	1	yes	characteristic
15	C₂×C₉×C₄⋊C₄	C₂²	1	1	yes	characteristic
16	C₂×C₉×C₄⋊C₄	C₂²	1	1	yes	characteristic
17	C₂×C₉×C₄⋊C₄	C₂²	1	1	yes	characteristic
18	C₂×C₉×C₂²⋊C₄	—	2	1	no	—
19	C₂×C₉×C₂²⋊C₄	—	2	1	no	—
20	C₂×C₄²×C₉	—	2	1	no	—
21	C₉×#107	—	2	2	no	—
22	C₉×#106	—	2	2	no	—
23	C₉×C₂²⋊C₈	C₄	1	4	yes	complemented
24	C₉×#95	—	2	1	no	—
25	C₂×C₃×#117	C₂×C₃	1	1	yes	characteristic
26	C₂×C₃×#107	C₂×C₃	1	1	yes	characteristic
27	C₂×C₃×#106	C₂×C₃	1	1	yes	characteristic
28	C₂×C₃×C₂²⋊C₈	C₂×C₃	1	1	yes	characteristic
29	C₃×#380	C₂×C₃	1	1	yes	characteristic
30	C₃×#340	C₂×C₃	1	1	yes	characteristic
31	C₃×#340	C₂×C₃	1	1	yes	characteristic
32	C₂⁴×C₉	D₄	1	1	yes	characteristic
33	C₂²×C₄×C₉	—	2	1	no	—
34	C₂²×C₄×C₉	—	2	1	no	—
35	C₂²×C₄×C₉	—	2	1	no	—
36	C₂²×C₄×C₉	—	2	1	no	—
37	C₂²×C₄×C₉	—	2	1	no	—
38	C₂²×C₄×C₉	—	2	1	no	—
39	C₂²×C₄×C₉	—	2	1	no	—
40	C₂²×C₄×C₉	—	2	1	no	—
41	C₂²×C₄×C₉	C₂×C₄	1	2	yes	—
42	C₂²×C₄×C₉	D₄	1	1	yes	characteristic
43	C₂²×C₄×C₉	Q₈	1	2	yes	—
44	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
45	C₂×C₈×C₉	—	2	1	no	—
46	C₂×C₈×C₉	—	2	1	no	—
47	C₂×C₈×C₉	—	2	1	no	—
48	C₂×C₈×C₉	—	2	1	no	—
49	C₂×C₈×C₉	C₂×C₄	1	2	yes	—
50	C₂×C₈×C₉	C₂×C₄	1	2	yes	—
51	C₉×C₄⋊C₄	—	2	1	no	—
52	C₉×C₄⋊C₄	—	2	1	no	—
53	C₉×C₄⋊C₄	—	2	1	no	—
54	C₉×C₄⋊C₄	—	2	1	no	—
55	C₉×C₄⋊C₄	—	2	1	no	—
56	C₉×C₄⋊C₄	—	2	1	no	—
57	C₉×C₄⋊C₄	D₄	1	2	yes	—
58	C₉×C₄⋊C₄	D₄	1	2	yes	—
59	C₉×C₂²⋊C₄	—	2	4	no	—
60	C₉×C₂²⋊C₄	—	4	2	no	—
61	C₄²×C₉	—	2	4	no	—
62	#1854	C₉	1	1	yes	characteristic, direct product factor, Sylow
63	C₂³×C₃×C₄	C₂²×C₃	1	1	yes	characteristic
64	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
65	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
66	C₃×#117	—	2	2	no	—
67	C₃×#117	—	2	2	no	—
68	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
69	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
70	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
71	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
72	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
73	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
74	C₂×C₃×C₄²	—	2	1	no	—
75	C₃×#107	—	2	2	no	—
76	C₃×#106	—	2	2	no	—
77	C₃×C₂²⋊C₈	C₃×C₄	1	4	yes	—
78	C₃×#95	—	2	1	no	—
79	C₂³×C₉	—	2	1	no	—
80	C₂³×C₉	—	2	1	no	—
81	C₂³×C₉	—	2	1	no	—
82	C₂³×C₉	—	2	1	no	—
83	C₂³×C₉	—	2	1	no	—
84	C₂³×C₉	—	2	1	no	—
85	C₂³×C₉	C₄⋊C₄	1	2	yes	—
86	C₂³×C₉	C₂×D₄	1	1	yes	characteristic
87	C₂×C₄×C₉	—	2	1	no	—
88	C₂×C₄×C₉	—	2	1	no	—
89	C₂×C₄×C₉	—	2	2	no	—
90	C₂×C₄×C₉	—	2	2	no	—
91	C₂×C₄×C₉	—	2	2	no	—
92	C₂×C₄×C₉	—	2	2	no	—
93	C₂×C₄×C₉	—	2	2	no	—
94	C₂×C₄×C₉	—	2	2	no	—
95	C₂×C₄×C₉	—	4	1	no	—
96	C₂×C₄×C₉	—	4	1	no	—
97	C₂×C₄×C₉	—	4	1	no	—
98	C₂×C₄×C₉	—	4	1	no	—
99	C₂×C₄×C₉	—	4	1	no	—
100	C₂×C₄×C₉	—	4	1	no	—
101	C₂×C₄×C₉	—	4	1	no	—
102	C₂×C₄×C₉	—	4	1	no	—
103	C₂×C₄×C₉	—	4	1	no	—
104	C₂×C₄×C₉	—	4	1	no	—
105	C₂×C₄×C₉	C₄⋊C₄	1	2	yes	—
106	C₂×C₄×C₉	C₂²×C₄	1	1	yes	characteristic
107	C₂×C₄×C₉	C₂×D₄	1	1	yes	characteristic
108	C₂×C₄×C₉	C₂×D₄	1	1	yes	characteristic
109	C₂×C₄×C₉	C₂×Q₈	1	1	yes	characteristic
110	C₂×C₄×C₉	#41	1	1	yes	characteristic
111	C₂×C₄×C₉	#41	1	1	yes	characteristic
112	C₈×C₉	—	2	2	no	—
113	C₈×C₉	—	2	2	no	—
114	C₂×#117	C₂×C₉	1	1	yes	characteristic
115	C₂×#107	C₂×C₉	1	1	yes	characteristic, complemented
116	C₂×#106	C₂×C₉	1	1	yes	characteristic, complemented
117	C₂×C₂²⋊C₈	C₂×C₉	1	1	yes	characteristic
118	#380	C₂×C₉	1	1	yes	characteristic
119	#340	C₂×C₉	1	1	yes	characteristic, complemented
120	#340	C₂×C₉	1	1	yes	characteristic, complemented
121	C₂⁴×C₃	C₃×D₄	1	1	yes	characteristic
122	C₂²×C₃×C₄	—	2	1	no	—
123	C₂²×C₃×C₄	—	2	1	no	—
124	C₂²×C₃×C₄	—	2	1	no	—
125	C₂²×C₃×C₄	—	2	1	no	—
126	C₂²×C₃×C₄	—	2	1	no	—
127	C₂²×C₃×C₄	—	2	1	no	—
128	C₂²×C₃×C₄	—	2	1	no	—
129	C₂²×C₃×C₄	—	2	1	no	—
130	C₂²×C₃×C₄	C₂×C₃×C₄	1	2	yes	—
131	C₂²×C₃×C₄	C₃×D₄	1	1	yes	characteristic
132	C₂²×C₃×C₄	C₃×Q₈	1	2	yes	—
133	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
134	C₂×C₃×C₈	—	2	1	no	—
135	C₂×C₃×C₈	—	2	1	no	—
136	C₂×C₃×C₈	—	2	1	no	—
137	C₂×C₃×C₈	—	2	1	no	—
138	C₂×C₃×C₈	C₂×C₃×C₄	1	2	yes	—
139	C₂×C₃×C₈	C₂×C₃×C₄	1	2	yes	—
140	C₃×C₄⋊C₄	—	2	1	no	—
141	C₃×C₄⋊C₄	—	2	1	no	—
142	C₃×C₄⋊C₄	—	2	1	no	—
143	C₃×C₄⋊C₄	—	2	1	no	—
144	C₃×C₄⋊C₄	—	2	1	no	—
145	C₃×C₄⋊C₄	—	2	1	no	—
146	C₃×C₄⋊C₄	C₃×D₄	1	2	yes	—
147	C₃×C₄⋊C₄	C₃×D₄	1	2	yes	—
148	C₃×C₂²⋊C₄	—	2	4	no	—
149	C₃×C₂²⋊C₄	—	4	2	no	—
150	C₃×C₄²	—	2	4	no	—
151	C₂²×C₉	—	2	2	no	—
152	C₂²×C₉	—	2	2	no	—
153	C₂²×C₉	—	2	2	no	—
154	C₂²×C₉	—	4	1	no	—
155	C₂²×C₉	—	4	1	no	—
156	C₂²×C₉	—	4	1	no	—
157	C₂²×C₉	—	4	1	no	—
158	C₂²×C₉	C₂×C₄⋊C₄	1	1	yes	characteristic
159	C₂²×C₉	#120	1	1	yes	characteristic
160	C₂²×C₉	#123	1	1	yes	characteristic
161	C₂²×C₉	#135	1	1	yes	characteristic
162	C₂²×C₉	#135	1	1	yes	characteristic
163	C₂²×C₉	AGL(1,ℤ/8)	1	1	yes	characteristic
164	C₂²×C₉	#137	1	1	yes	characteristic
165	C₄×C₉	—	2	2	no	—
166	C₄×C₉	—	4	2	no	—
167	C₄×C₉	—	4	2	no	—
168	C₄×C₉	—	8	1	no	—
169	C₄×C₉	—	8	1	no	—
170	C₄×C₉	C₄×D₄	1	1	yes	characteristic
171	C₄×C₉	C₄×D₄	1	1	yes	characteristic
172	C₄×C₉	C₂²⋊Q₈	1	1	yes	characteristic
173	C₄×C₉	C₂²⋊Q₈	1	1	yes	characteristic
174	C₂³×C₄	C₂²×C₉	1	1	yes	characteristic
175	C₂²×C₈	C₂²×C₉	1	1	yes	characteristic
176	C₂²×C₈	C₂²×C₉	1	1	yes	characteristic
177	#117	—	2	2	no	—
178	#117	—	2	2	no	—
179	C₂×C₄⋊C₄	C₂²×C₉	1	1	yes	characteristic
180	C₂×C₄⋊C₄	C₂²×C₉	1	1	yes	characteristic
181	C₂×C₄⋊C₄	C₂²×C₉	1	1	yes	characteristic
182	C₂×C₄⋊C₄	C₂²×C₉	1	1	yes	characteristic
183	C₂×C₂²⋊C₄	—	2	1	no	—
184	C₂×C₂²⋊C₄	—	2	1	no	—
185	C₂×C₄²	—	2	1	no	—
186	#107	—	2	2	no	—
187	#106	—	2	2	no	—
188	C₂²⋊C₈	C₄×C₉	1	4	yes	complemented
189	#95	—	2	1	no	—
190	C₂³×C₃	—	2	1	no	—
191	C₂³×C₃	—	2	1	no	—
192	C₂³×C₃	—	2	1	no	—
193	C₂³×C₃	—	2	1	no	—
194	C₂³×C₃	—	2	1	no	—
195	C₂³×C₃	—	2	1	no	—
196	C₂³×C₃	C₃×C₄⋊C₄	1	2	yes	—
197	C₂³×C₃	C₂×C₃×D₄	1	1	yes	characteristic
198	C₂×C₃×C₄	—	2	1	no	—
199	C₂×C₃×C₄	—	2	1	no	—
200	C₂×C₃×C₄	—	2	2	no	—
201	C₂×C₃×C₄	—	2	2	no	—
202	C₂×C₃×C₄	—	2	2	no	—
203	C₂×C₃×C₄	—	2	2	no	—
204	C₂×C₃×C₄	—	2	2	no	—
205	C₂×C₃×C₄	—	2	2	no	—
206	C₂×C₃×C₄	—	4	1	no	—
207	C₂×C₃×C₄	—	4	1	no	—
208	C₂×C₃×C₄	—	4	1	no	—
209	C₂×C₃×C₄	—	4	1	no	—
210	C₂×C₃×C₄	—	4	1	no	—
211	C₂×C₃×C₄	—	4	1	no	—
212	C₂×C₃×C₄	—	4	1	no	—
213	C₂×C₃×C₄	—	4	1	no	—
214	C₂×C₃×C₄	—	4	1	no	—
215	C₂×C₃×C₄	—	4	1	no	—
216	C₂×C₃×C₄	C₃×C₄⋊C₄	1	2	yes	—
217	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
218	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
219	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
220	C₂×C₃×C₄	C₂×C₃×Q₈	1	1	yes	characteristic
221	C₂×C₃×C₄	C₃×#41	1	1	yes	characteristic
222	C₂×C₃×C₄	C₃×#41	1	1	yes	characteristic
223	C₃×C₈	—	2	2	no	—
224	C₃×C₈	—	2	2	no	—
225	C₂×C₉	—	4	2	no	—
226	C₂×C₉	#385	1	1	yes	characteristic
227	C₂×C₉	#427	1	1	yes	characteristic
228	C₂×C₉	#428	1	1	yes	characteristic
229	C₂×C₉	#449	1	1	yes	characteristic
230	C₂×C₉	#452	1	1	yes	characteristic
231	C₂×C₉	#482	1	1	yes	characteristic
232	C₂×C₉	#485	1	1	yes	characteristic
233	C₂⁴	D₄×C₉	1	1	yes	characteristic
234	C₂²×C₄	—	2	1	no	—
235	C₂²×C₄	—	2	1	no	—
236	C₂²×C₄	—	2	1	no	—
237	C₂²×C₄	—	2	1	no	—
238	C₂²×C₄	—	2	1	no	—
239	C₂²×C₄	—	2	1	no	—
240	C₂²×C₄	—	2	1	no	—
241	C₂²×C₄	—	2	1	no	—
242	C₂²×C₄	C₂×C₄×C₉	1	2	yes	—
243	C₂²×C₄	D₄×C₉	1	1	yes	characteristic
244	C₂²×C₄	Q₈×C₉	1	2	yes	—
245	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
246	C₂×C₈	—	2	1	no	—
247	C₂×C₈	—	2	1	no	—
248	C₂×C₈	—	2	1	no	—
249	C₂×C₈	—	2	1	no	—
250	C₂×C₈	C₂×C₄×C₉	1	2	yes	—
251	C₂×C₈	C₂×C₄×C₉	1	2	yes	—
252	C₄⋊C₄	—	2	1	no	—
253	C₄⋊C₄	—	2	1	no	—
254	C₄⋊C₄	—	2	1	no	—
255	C₄⋊C₄	—	2	1	no	—
256	C₄⋊C₄	—	2	1	no	—
257	C₄⋊C₄	—	2	1	no	—
258	C₄⋊C₄	D₄×C₉	1	2	yes	—
259	C₄⋊C₄	D₄×C₉	1	2	yes	—
260	C₂²⋊C₄	—	2	4	no	—
261	C₂²⋊C₄	—	4	2	no	—
262	C₄²	—	2	4	no	—
263	C₂²×C₃	—	2	2	no	—
264	C₂²×C₃	—	2	2	no	—
265	C₂²×C₃	—	2	2	no	—
266	C₂²×C₃	—	4	1	no	—
267	C₂²×C₃	—	4	1	no	—
268	C₂²×C₃	—	4	1	no	—
269	C₂²×C₃	—	4	1	no	—
270	C₂²×C₃	C₂×C₃×C₄⋊C₄	1	1	yes	characteristic
271	C₂²×C₃	C₃×#120	1	1	yes	characteristic
272	C₂²×C₃	C₃×#123	1	1	yes	characteristic
273	C₂²×C₃	C₃×#135	1	1	yes	characteristic
274	C₂²×C₃	C₃×#135	1	1	yes	characteristic
275	C₂²×C₃	C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
276	C₂²×C₃	C₃×#137	1	1	yes	characteristic
277	C₃×C₄	—	2	2	no	—
278	C₃×C₄	—	4	2	no	—
279	C₃×C₄	—	4	2	no	—
280	C₃×C₄	—	8	1	no	—
281	C₃×C₄	—	8	1	no	—
282	C₃×C₄	C₃×C₄×D₄	1	1	yes	characteristic
283	C₃×C₄	C₃×C₄×D₄	1	1	yes	characteristic
284	C₃×C₄	C₃×C₂²⋊Q₈	1	1	yes	characteristic
285	C₃×C₄	C₃×C₂²⋊Q₈	1	1	yes	characteristic
286	C₉	#1854	1	1	yes	characteristic, direct product factor, Sylow
287	C₂³	—	2	1	no	—
288	C₂³	—	2	1	no	—
289	C₂³	—	2	1	no	—
290	C₂³	—	2	1	no	—
291	C₂³	—	2	1	no	—
292	C₂³	—	2	1	no	—
293	C₂³	C₉×C₄⋊C₄	1	2	yes	—
294	C₂³	C₂×D₄×C₉	1	1	yes	characteristic
295	C₂×C₄	—	2	1	no	—
296	C₂×C₄	—	2	1	no	—
297	C₂×C₄	—	2	2	no	—
298	C₂×C₄	—	2	2	no	—
299	C₂×C₄	—	2	2	no	—
300	C₂×C₄	—	2	2	no	—
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	4	1	no	—
304	C₂×C₄	—	4	1	no	—
305	C₂×C₄	—	4	1	no	—
306	C₂×C₄	—	4	1	no	—
307	C₂×C₄	—	4	1	no	—
308	C₂×C₄	—	4	1	no	—
309	C₂×C₄	—	4	1	no	—
310	C₂×C₄	—	4	1	no	—
311	C₂×C₄	—	4	1	no	—
312	C₂×C₄	—	4	1	no	—
313	C₂×C₄	C₉×C₄⋊C₄	1	2	yes	—
314	C₂×C₄	C₂²×C₄×C₉	1	1	yes	characteristic
315	C₂×C₄	C₂×D₄×C₉	1	1	yes	characteristic
316	C₂×C₄	C₂×D₄×C₉	1	1	yes	characteristic
317	C₂×C₄	C₂×Q₈×C₉	1	1	yes	characteristic
318	C₂×C₄	C₉×#41	1	1	yes	characteristic
319	C₂×C₄	C₉×#41	1	1	yes	characteristic
320	C₈	—	2	2	no	—
321	C₈	—	2	2	no	—
322	C₂×C₃	—	4	2	no	—
323	C₂×C₃	C₃×#385	1	1	yes	characteristic
324	C₂×C₃	C₃×#427	1	1	yes	characteristic
325	C₂×C₃	C₃×#428	1	1	yes	characteristic
326	C₂×C₃	C₃×#449	1	1	yes	characteristic
327	C₂×C₃	C₃×#452	1	1	yes	characteristic
328	C₂×C₃	C₃×#482	1	1	yes	characteristic
329	C₂×C₃	C₃×#485	1	1	yes	characteristic
330	C₂²	—	2	2	no	—
331	C₂²	—	2	2	no	—
332	C₂²	—	2	2	no	—
333	C₂²	—	4	1	no	—
334	C₂²	—	4	1	no	—
335	C₂²	—	4	1	no	—
336	C₂²	—	4	1	no	—
337	C₂²	C₂×C₉×C₄⋊C₄	1	1	yes	characteristic
338	C₂²	C₉×#120	1	1	yes	characteristic
339	C₂²	C₉×#123	1	1	yes	characteristic
340	C₂²	C₉×#135	1	1	yes	characteristic
341	C₂²	C₉×#135	1	1	yes	characteristic
342	C₂²	C₉×AGL(1,ℤ/8)	1	1	yes	characteristic
343	C₂²	C₉×#137	1	1	yes	characteristic
344	C₄	—	2	2	no	—
345	C₄	—	4	2	no	—
346	C₄	—	4	2	no	—
347	C₄	—	8	1	no	—
348	C₄	—	8	1	no	—
349	C₄	C₄×D₄×C₉	1	1	yes	characteristic
350	C₄	C₄×D₄×C₉	1	1	yes	characteristic
351	C₄	C₉×C₂²⋊Q₈	1	1	yes	characteristic
352	C₄	C₉×C₂²⋊Q₈	1	1	yes	characteristic
353	C₃	C₃×#1854	1	1	yes	characteristic
354	C₂	—	4	2	no	—
355	C₂	C₉×#385	1	1	yes	characteristic
356	C₂	C₉×#427	1	1	yes	characteristic
357	C₂	C₉×#428	1	1	yes	characteristic
358	C₂	C₉×#449	1	1	yes	characteristic
359	C₂	C₉×#452	1	1	yes	characteristic
360	C₂	C₉×#482	1	1	yes	characteristic
361	C₂	C₉×#485	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₉	C₂×D₄
commutator	C₂×C₄	C₂²×C₄×C₉
Frattini, cosocle	C₂²×C₃×C₄	C₂³×C₃
socle	C₂³×C₃	C₂×C₃×D₄
prime radical	C₂⁴×C₃	C₃×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₉ ◁ C₂³×C₄×C₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₉×#107	C₂	semidirect
3. C₂×C₉×#106	C₂	semidirect
6. C₉×#340	C₂	semidirect
7. C₉×#340	C₂	semidirect
23. C₉×C₂²⋊C₈	C₄	semidirect
62. #1854	C₉	direct (N × H)
115. C₂×#107	C₂×C₉	semidirect
116. C₂×#106	C₂×C₉	semidirect
119. #340	C₂×C₉	semidirect
120. #340	C₂×C₉	semidirect
188. C₂²⋊C₈	C₄×C₉	semidirect
286. C₉	#1854	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×C₉×#117	2
C₂×C₉×#107	2
C₂×C₉×#106	2
C₂×C₉×C₂²⋊C₈	2
C₉×#380	2
C₉×#340	2
C₃×#1854	3

Subgroups — C9×#1854 #11766575

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#1854 #11766575