Subgroups — C₉×#2967 #11767688

Order 1152.

543 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	C₉×#529	C₂	1	1	yes	maximal, characteristic
2	C₉×#446	C₂	1	2	yes	maximal, complemented
3	C₉×#436	C₂	1	2	yes	maximal, complemented
4	C₉×#435	C₂	1	2	yes	maximal, complemented
5	C₉×#435	C₂	1	2	yes	maximal, complemented
6	C₉×#433	C₂	1	2	yes	maximal, complemented
7	C₉×#432	C₂	1	1	yes	maximal, characteristic, complemented
8	C₉×#405	C₂	1	2	yes	maximal, complemented
9	C₄×C₉×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2967	C₃	1	1	yes	maximal, characteristic
11	C₂×C₉×M₁₆	C₂²	1	2	yes	—
12	C₂×C₉×M₁₆	C₂²	1	2	yes	—
13	C₂²×C₈×C₉	C₂²	1	2	yes	—
14	C₉×#126	C₄	1	2	yes	—
15	C₉×#125	C₄	1	1	yes	characteristic
16	C₉×#124	C₄	1	1	yes	characteristic
17	C₉×#123	C₄	1	2	yes	—
18	C₉×C₂²⋊Q₈	C₄	1	1	yes	characteristic
19	C₉×#121	C₄	1	1	yes	characteristic
20	C₄×Q₈×C₉	C₂²	1	1	yes	characteristic
21	C₄×D₄×C₉	C₂²	1	1	yes	characteristic
22	C₄×D₄×C₉	C₂²	1	2	yes	—
23	C₉×#117	C₂²	1	2	yes	—
24	C₂×C₄²×C₉	C₂²	1	1	yes	characteristic
25	C₉×C₄⋊C₈	C₂²	1	2	yes	—
26	C₉×C₄⋊C₈	C₂²	1	2	yes	—
27	C₉×C₄⋊C₈	C₂²	1	2	yes	—
28	C₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
29	C₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
30	C₉×C₂²⋊C₈	C₂²	1	2	yes	—
31	C₉×C₂²⋊C₈	C₂²	1	2	yes	—
32	C₉×#97	C₂²	1	2	yes	—
33	C₉×#97	C₂²	1	2	yes	—
34	C₉×#97	C₂²	1	2	yes	—
35	C₄×C₈×C₉	C₂²	1	1	yes	characteristic
36	C₄×C₈×C₉	C₂²	1	1	yes	characteristic
37	C₄×C₈×C₉	C₂²	1	2	yes	—
38	C₃×#529	C₂×C₃	1	1	yes	characteristic
39	C₃×#446	C₂×C₃	1	2	yes	—
40	C₃×#436	C₂×C₃	1	2	yes	—
41	C₃×#435	C₂×C₃	1	2	yes	—
42	C₃×#435	C₂×C₃	1	2	yes	—
43	C₃×#433	C₂×C₃	1	2	yes	—
44	C₃×#432	C₂×C₃	1	1	yes	characteristic
45	C₃×#405	C₂×C₃	1	2	yes	—
46	C₃×C₄×M₁₆	C₂×C₃	1	1	yes	characteristic
47	C₂×Q₈×C₉	C₂×C₄	1	1	yes	characteristic
48	C₂×D₄×C₉	C₂×C₄	1	2	yes	—
49	C₂×D₄×C₉	C₂×C₄	1	1	yes	characteristic
50	C₂²×C₄×C₉	C₂×C₄	1	1	yes	characteristic
51	C₂²×C₄×C₉	C₂×C₄	1	1	yes	characteristic
52	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
53	C₂²×C₄×C₉	C₂³	1	2	yes	—
54	C₉×M₁₆	—	2	4	no	—
55	C₉×M₁₆	—	2	4	no	—
56	C₂×C₈×C₉	—	2	4	no	—
57	C₂×C₈×C₉	C₂³	1	2	yes	—
58	C₂×C₈×C₉	C₂³	1	2	yes	—
59	C₂×C₈×C₉	C₂³	1	2	yes	—
60	C₂×C₈×C₉	C₂³	1	2	yes	—
61	C₉×C₄⋊C₄	C₂×C₄	1	2	yes	—
62	C₉×C₄⋊C₄	C₂×C₄	1	2	yes	—
63	C₉×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
64	C₉×C₄⋊C₄	C₂×C₄	1	2	yes	—
65	C₉×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
66	C₉×C₄⋊C₄	C₂×C₄	1	2	yes	—
67	C₉×C₂²⋊C₄	C₂×C₄	1	2	yes	—
68	C₉×C₂²⋊C₄	C₂×C₄	1	2	yes	—
69	C₉×C₂²⋊C₄	C₂×C₄	1	2	yes	—
70	C₉×C₂²⋊C₄	C₂×C₄	1	2	yes	—
71	C₉×C₂²⋊C₄	C₂×C₄	1	2	yes	—
72	C₄²×C₉	C₂×C₄	1	1	yes	characteristic
73	C₄²×C₉	C₂×C₄	1	1	yes	characteristic
74	C₄²×C₉	C₂³	1	1	yes	characteristic
75	C₄²×C₉	C₂³	1	1	yes	characteristic
76	C₄²×C₉	C₂³	1	2	yes	—
77	#2967	C₉	1	1	yes	characteristic, direct product factor, Sylow
78	C₂×C₃×M₁₆	C₂²×C₃	1	2	yes	—
79	C₂×C₃×M₁₆	C₂²×C₃	1	2	yes	—
80	C₂²×C₃×C₈	C₂²×C₃	1	2	yes	—
81	C₃×#126	C₃×C₄	1	2	yes	—
82	C₃×#125	C₃×C₄	1	1	yes	characteristic
83	C₃×#124	C₃×C₄	1	1	yes	characteristic
84	C₃×#123	C₃×C₄	1	2	yes	—
85	C₃×C₂²⋊Q₈	C₃×C₄	1	1	yes	characteristic
86	C₃×#121	C₃×C₄	1	1	yes	characteristic
87	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
88	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
89	C₃×C₄×D₄	C₂²×C₃	1	2	yes	—
90	C₃×#117	C₂²×C₃	1	2	yes	—
91	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic
92	C₃×C₄⋊C₈	C₂²×C₃	1	2	yes	—
93	C₃×C₄⋊C₈	C₂²×C₃	1	2	yes	—
94	C₃×C₄⋊C₈	C₂²×C₃	1	2	yes	—
95	C₃×C₂²⋊C₈	C₂²×C₃	1	1	yes	characteristic
96	C₃×C₂²⋊C₈	C₂²×C₃	1	1	yes	characteristic
97	C₃×C₂²⋊C₈	C₂²×C₃	1	2	yes	—
98	C₃×C₂²⋊C₈	C₂²×C₃	1	2	yes	—
99	C₃×#97	C₂²×C₃	1	2	yes	—
100	C₃×#97	C₂²×C₃	1	2	yes	—
101	C₃×#97	C₂²×C₃	1	2	yes	—
102	C₃×C₄×C₈	C₂²×C₃	1	1	yes	characteristic
103	C₃×C₄×C₈	C₂²×C₃	1	1	yes	characteristic
104	C₃×C₄×C₈	C₂²×C₃	1	2	yes	—
105	C₂³×C₉	C₂²×C₄	1	2	yes	—
106	C₂³×C₉	C₂²×C₄	1	1	yes	characteristic
107	Q₈×C₉	—	4	1	no	—
108	D₄×C₉	—	4	1	no	—
109	D₄×C₉	—	4	2	no	—
110	C₂×C₄×C₉	—	2	2	no	—
111	C₂×C₄×C₉	—	2	2	no	—
112	C₂×C₄×C₉	—	2	2	no	—
113	C₂×C₄×C₉	—	4	1	no	—
114	C₂×C₄×C₉	—	4	1	no	—
115	C₂×C₄×C₉	C₂²×C₄	1	1	yes	characteristic
116	C₂×C₄×C₉	C₂²×C₄	1	1	yes	characteristic
117	C₂×C₄×C₉	C₂²×C₄	1	1	yes	characteristic
118	C₂×C₄×C₉	C₂²×C₄	1	1	yes	characteristic
119	C₂×C₄×C₉	C₂²×C₄	1	1	yes	characteristic
120	C₂×C₄×C₉	C₂²×C₄	1	2	yes	—
121	C₂×C₄×C₉	C₂²×C₄	1	2	yes	—
122	C₂×C₄×C₉	C₂²×C₄	1	2	yes	—
123	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
124	C₈×C₉	—	2	2	no	—
125	C₈×C₉	—	2	2	no	—
126	C₈×C₉	—	2	2	no	—
127	C₈×C₉	#41	1	4	yes	—
128	#529	C₂×C₉	1	1	yes	characteristic
129	#446	C₂×C₉	1	2	yes	complemented
130	#436	C₂×C₉	1	2	yes	complemented
131	#435	C₂×C₉	1	2	yes	complemented
132	#435	C₂×C₉	1	2	yes	complemented
133	#433	C₂×C₉	1	2	yes	complemented
134	#432	C₂×C₉	1	1	yes	characteristic, complemented
135	#405	C₂×C₉	1	2	yes	complemented
136	C₄×M₁₆	C₂×C₉	1	1	yes	characteristic, complemented
137	C₂×C₃×Q₈	C₂×C₃×C₄	1	1	yes	characteristic
138	C₂×C₃×D₄	C₂×C₃×C₄	1	2	yes	—
139	C₂×C₃×D₄	C₂×C₃×C₄	1	1	yes	characteristic
140	C₂²×C₃×C₄	C₂×C₃×C₄	1	1	yes	characteristic
141	C₂²×C₃×C₄	C₂×C₃×C₄	1	1	yes	characteristic
142	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
143	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
144	C₃×M₁₆	—	2	4	no	—
145	C₃×M₁₆	—	2	4	no	—
146	C₂×C₃×C₈	—	2	4	no	—
147	C₂×C₃×C₈	C₂³×C₃	1	2	yes	—
148	C₂×C₃×C₈	C₂³×C₃	1	2	yes	—
149	C₂×C₃×C₈	C₂³×C₃	1	2	yes	—
150	C₂×C₃×C₈	C₂³×C₃	1	2	yes	—
151	C₃×C₄⋊C₄	C₂×C₃×C₄	1	2	yes	—
152	C₃×C₄⋊C₄	C₂×C₃×C₄	1	2	yes	—
153	C₃×C₄⋊C₄	C₂×C₃×C₄	1	1	yes	characteristic
154	C₃×C₄⋊C₄	C₂×C₃×C₄	1	2	yes	—
155	C₃×C₄⋊C₄	C₂×C₃×C₄	1	1	yes	characteristic
156	C₃×C₄⋊C₄	C₂×C₃×C₄	1	2	yes	—
157	C₃×C₂²⋊C₄	C₂×C₃×C₄	1	2	yes	—
158	C₃×C₂²⋊C₄	C₂×C₃×C₄	1	2	yes	—
159	C₃×C₂²⋊C₄	C₂×C₃×C₄	1	2	yes	—
160	C₃×C₂²⋊C₄	C₂×C₃×C₄	1	2	yes	—
161	C₃×C₂²⋊C₄	C₂×C₃×C₄	1	2	yes	—
162	C₃×C₄²	C₂×C₃×C₄	1	1	yes	characteristic
163	C₃×C₄²	C₂×C₃×C₄	1	1	yes	characteristic
164	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
165	C₃×C₄²	C₂³×C₃	1	2	yes	—
166	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
167	C₂²×C₉	—	2	2	no	—
168	C₂²×C₉	—	2	1	no	—
169	C₂²×C₉	—	2	1	no	—
170	C₂²×C₉	—	2	1	no	—
171	C₂²×C₉	—	2	2	no	—
172	C₂²×C₉	—	2	2	no	—
173	C₂²×C₉	C₂³×C₄	1	1	yes	characteristic
174	C₄×C₉	—	2	2	no	—
175	C₄×C₉	—	2	1	no	—
176	C₄×C₉	—	2	1	no	—
177	C₄×C₉	—	2	1	no	—
178	C₄×C₉	—	2	1	no	—
179	C₄×C₉	—	2	1	no	—
180	C₄×C₉	—	2	2	no	—
181	C₄×C₉	—	2	2	no	—
182	C₄×C₉	C₂×#41	1	2	yes	—
183	C₂×M₁₆	C₂²×C₉	1	2	yes	—
184	C₂×M₁₆	C₂²×C₉	1	2	yes	—
185	C₂²×C₈	C₂²×C₉	1	2	yes	—
186	#126	C₄×C₉	1	2	yes	—
187	#125	C₄×C₉	1	1	yes	characteristic
188	#124	C₄×C₉	1	1	yes	characteristic
189	#123	C₄×C₉	1	2	yes	—
190	C₂²⋊Q₈	C₄×C₉	1	1	yes	characteristic
191	#121	C₄×C₉	1	1	yes	characteristic
192	C₄×Q₈	C₂²×C₉	1	1	yes	characteristic
193	C₄×D₄	C₂²×C₉	1	1	yes	characteristic
194	C₄×D₄	C₂²×C₉	1	2	yes	—
195	#117	C₂²×C₉	1	2	yes	—
196	C₂×C₄²	C₂²×C₉	1	1	yes	characteristic
197	C₄⋊C₈	C₂²×C₉	1	2	yes	—
198	C₄⋊C₈	C₂²×C₉	1	2	yes	—
199	C₄⋊C₈	C₂²×C₉	1	2	yes	—
200	C₂²⋊C₈	C₂²×C₉	1	1	yes	characteristic
201	C₂²⋊C₈	C₂²×C₉	1	1	yes	characteristic
202	C₂²⋊C₈	C₂²×C₉	1	2	yes	—
203	C₂²⋊C₈	C₂²×C₉	1	2	yes	—
204	#97	C₂²×C₉	1	2	yes	—
205	#97	C₂²×C₉	1	2	yes	—
206	#97	C₂²×C₉	1	2	yes	—
207	C₄×C₈	C₂²×C₉	1	1	yes	characteristic
208	C₄×C₈	C₂²×C₉	1	1	yes	characteristic
209	C₄×C₈	C₂²×C₉	1	2	yes	—
210	C₂³×C₃	C₂²×C₃×C₄	1	2	yes	—
211	C₂³×C₃	C₂²×C₃×C₄	1	1	yes	characteristic
212	C₃×Q₈	—	4	1	no	—
213	C₃×D₄	—	4	1	no	—
214	C₃×D₄	—	4	2	no	—
215	C₂×C₃×C₄	—	2	2	no	—
216	C₂×C₃×C₄	—	2	2	no	—
217	C₂×C₃×C₄	—	2	2	no	—
218	C₂×C₃×C₄	—	4	1	no	—
219	C₂×C₃×C₄	—	4	1	no	—
220	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
221	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
222	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
223	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
224	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
225	C₂×C₃×C₄	C₂²×C₃×C₄	1	2	yes	—
226	C₂×C₃×C₄	C₂²×C₃×C₄	1	2	yes	—
227	C₂×C₃×C₄	C₂²×C₃×C₄	1	2	yes	—
228	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
229	C₃×C₈	—	2	2	no	—
230	C₃×C₈	—	2	2	no	—
231	C₃×C₈	—	2	2	no	—
232	C₃×C₈	C₃×#41	1	4	yes	—
233	C₂×C₉	—	4	1	no	—
234	C₂×C₉	—	4	2	no	—
235	C₂×C₉	C₄×#41	1	1	yes	characteristic
236	C₂×C₉	#568	1	1	yes	characteristic
237	C₂×C₉	#568	1	1	yes	characteristic
238	C₂×Q₈	C₂×C₄×C₉	1	1	yes	characteristic
239	C₂×D₄	C₂×C₄×C₉	1	2	yes	—
240	C₂×D₄	C₂×C₄×C₉	1	1	yes	characteristic
241	C₂²×C₄	C₂×C₄×C₉	1	1	yes	characteristic
242	C₂²×C₄	C₂×C₄×C₉	1	1	yes	characteristic
243	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
244	C₂²×C₄	C₂³×C₉	1	2	yes	—
245	M₁₆	—	2	4	no	—
246	M₁₆	—	2	4	no	—
247	C₂×C₈	—	2	4	no	—
248	C₂×C₈	C₂³×C₉	1	2	yes	—
249	C₂×C₈	C₂³×C₉	1	2	yes	—
250	C₂×C₈	C₂³×C₉	1	2	yes	—
251	C₂×C₈	C₂³×C₉	1	2	yes	—
252	C₄⋊C₄	C₂×C₄×C₉	1	2	yes	—
253	C₄⋊C₄	C₂×C₄×C₉	1	2	yes	—
254	C₄⋊C₄	C₂×C₄×C₉	1	1	yes	characteristic
255	C₄⋊C₄	C₂×C₄×C₉	1	2	yes	—
256	C₄⋊C₄	C₂×C₄×C₉	1	1	yes	characteristic
257	C₄⋊C₄	C₂×C₄×C₉	1	2	yes	—
258	C₂²⋊C₄	C₂×C₄×C₉	1	2	yes	—
259	C₂²⋊C₄	C₂×C₄×C₉	1	2	yes	—
260	C₂²⋊C₄	C₂×C₄×C₉	1	2	yes	—
261	C₂²⋊C₄	C₂×C₄×C₉	1	2	yes	—
262	C₂²⋊C₄	C₂×C₄×C₉	1	2	yes	—
263	C₄²	C₂×C₄×C₉	1	1	yes	characteristic
264	C₄²	C₂×C₄×C₉	1	1	yes	characteristic
265	C₄²	C₂³×C₉	1	1	yes	characteristic
266	C₄²	C₂³×C₉	1	2	yes	—
267	C₄²	C₂³×C₉	1	1	yes	characteristic
268	C₂²×C₃	—	2	1	no	—
269	C₂²×C₃	—	2	1	no	—
270	C₂²×C₃	—	2	2	no	—
271	C₂²×C₃	—	2	2	no	—
272	C₂²×C₃	—	2	2	no	—
273	C₂²×C₃	—	2	1	no	—
274	C₂²×C₃	C₂³×C₃×C₄	1	1	yes	characteristic
275	C₃×C₄	—	2	1	no	—
276	C₃×C₄	—	2	1	no	—
277	C₃×C₄	—	2	1	no	—
278	C₃×C₄	—	2	1	no	—
279	C₃×C₄	—	2	2	no	—
280	C₃×C₄	—	2	2	no	—
281	C₃×C₄	—	2	2	no	—
282	C₃×C₄	—	2	1	no	—
283	C₃×C₄	C₂×C₃×#41	1	2	yes	—
284	C₉	#2967	1	1	yes	characteristic, direct product factor, Sylow
285	C₂³	C₂²×C₄×C₉	1	2	yes	—
286	C₂³	C₂²×C₄×C₉	1	1	yes	characteristic
287	Q₈	—	4	1	no	—
288	D₄	—	4	1	no	—
289	D₄	—	4	2	no	—
290	C₂×C₄	—	2	2	no	—
291	C₂×C₄	—	2	2	no	—
292	C₂×C₄	—	2	2	no	—
293	C₂×C₄	—	4	1	no	—
294	C₂×C₄	—	4	1	no	—
295	C₂×C₄	C₂²×C₄×C₉	1	1	yes	characteristic
296	C₂×C₄	C₂²×C₄×C₉	1	1	yes	characteristic
297	C₂×C₄	C₂²×C₄×C₉	1	1	yes	characteristic
298	C₂×C₄	C₂²×C₄×C₉	1	1	yes	characteristic
299	C₂×C₄	C₂²×C₄×C₉	1	1	yes	characteristic
300	C₂×C₄	C₂²×C₄×C₉	1	2	yes	—
301	C₂×C₄	C₂²×C₄×C₉	1	2	yes	—
302	C₂×C₄	C₂²×C₄×C₉	1	2	yes	—
303	C₂×C₄	C₂⁴×C₉	1	1	yes	characteristic
304	C₈	—	2	2	no	—
305	C₈	—	2	2	no	—
306	C₈	—	2	2	no	—
307	C₈	C₉×#41	1	4	yes	—
308	C₂×C₃	—	4	1	no	—
309	C₂×C₃	—	4	2	no	—
310	C₂×C₃	C₃×C₄×#41	1	1	yes	characteristic
311	C₂×C₃	C₃×#568	1	1	yes	characteristic
312	C₂×C₃	C₃×#568	1	1	yes	characteristic
313	C₂²	—	2	1	no	—
314	C₂²	—	2	1	no	—
315	C₂²	—	2	2	no	—
316	C₂²	—	2	2	no	—
317	C₂²	—	2	2	no	—
318	C₂²	—	2	1	no	—
319	C₂²	C₂³×C₄×C₉	1	1	yes	characteristic
320	C₄	—	2	1	no	—
321	C₄	—	2	1	no	—
322	C₄	—	2	1	no	—
323	C₄	—	2	1	no	—
324	C₄	—	2	2	no	—
325	C₄	—	2	2	no	—
326	C₄	—	2	2	no	—
327	C₄	—	2	1	no	—
328	C₄	C₂×C₉×#41	1	2	yes	—
329	C₃	C₃×#2967	1	1	yes	characteristic
330	C₂	—	4	1	no	—
331	C₂	—	4	2	no	—
332	C₂	C₄×C₉×#41	1	1	yes	characteristic
333	C₂	C₉×#568	1	1	yes	characteristic
334	C₂	C₉×#568	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₉	C₂⁴
commutator	C₂²	C₂³×C₄×C₉
Frattini, cosocle	C₂×C₃×C₄	C₂⁴×C₃
socle	C₂²×C₃	C₂³×C₃×C₄
prime radical	C₃×#121	C₃×C₄
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₉×#446	C₂	semidirect
3. C₉×#436	C₂	semidirect
4. C₉×#435	C₂	semidirect
5. C₉×#435	C₂	semidirect
6. C₉×#433	C₂	semidirect
7. C₉×#432	C₂	semidirect
8. C₉×#405	C₂	semidirect
9. C₄×C₉×M₁₆	C₂	semidirect
77. #2967	C₉	direct (N × H)
129. #446	C₂×C₉	semidirect
130. #436	C₂×C₉	semidirect
131. #435	C₂×C₉	semidirect
132. #435	C₂×C₉	semidirect
133. #433	C₂×C₉	semidirect
134. #432	C₂×C₉	semidirect
135. #405	C₂×C₉	semidirect
136. C₄×M₁₆	C₂×C₉	semidirect
284. C₉	#2967	direct (N × H)

Maximal subgroups

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

subgroup	index
C₉×#529	2
C₉×#446	2
C₉×#436	2
C₉×#435	2
C₉×#433	2
C₉×#432	2
C₉×#405	2
C₄×C₉×M₁₆	2
C₃×#2967	3

Subgroups — C9×#2967 #11767688

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#2967 #11767688