Subgroups — C₉×#3077 #11767798

Order 1152.

660 conjugacy classes of subgroups.

The subgroup lattice has 348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×#533	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×D₄×C₉	C₂	1	1	yes	maximal, characteristic
3	C₉×#478	C₂	1	4	yes	maximal, complemented
4	C₉×#476	C₂	1	2	yes	maximal, complemented
5	C₉×#474	C₂	1	2	yes	maximal, complemented
6	C₉×#428	C₂	1	2	yes	maximal, complemented
7	C₉×#423	C₂	1	1	yes	maximal, characteristic, complemented
8	C₉×#418	C₂	1	2	yes	maximal
9	C₃×#3077	C₃	1	1	yes	maximal, characteristic
10	C₂²×D₄×C₉	C₂²	1	1	yes	characteristic
11	C₂³×C₄×C₉	—	2	1	no	—
12	C₂×C₉×M₁₆	C₂²	1	2	yes	—
13	C₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
14	C₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
15	C₉×#125	C₂²	1	2	yes	complemented
16	C₉×C₂²⋊Q₈	—	2	1	no	—
17	C₉×C₂²⋊Q₈	—	2	1	no	—
18	C₄×Q₈×C₉	—	2	1	no	—
19	C₄×Q₈×C₉	—	2	1	no	—
20	C₄×D₄×C₉	—	2	1	no	—
21	C₄×D₄×C₉	—	2	1	no	—
22	C₄×D₄×C₉	C₂²	1	2	yes	—
23	C₄×D₄×C₉	C₂²	1	2	yes	—
24	C₉×#117	C₂²	1	2	yes	—
25	C₂×C₉×C₄⋊C₄	C₂²	1	1	yes	characteristic
26	C₂×C₉×C₂²⋊C₄	—	2	1	no	—
27	C₂×C₄²×C₉	C₂²	1	1	yes	characteristic
28	C₉×#107	C₂²	1	4	yes	complemented
29	C₉×#106	C₂²	1	4	yes	complemented
30	C₉×C₄⋊C₈	C₂²	1	2	yes	complemented
31	C₉×C₄⋊C₈	C₂²	1	2	yes	complemented
32	C₉×#102	C₂²	1	4	yes	—
33	C₉×#102	C₂²	1	4	yes	—
34	C₃×#533	C₂×C₃	1	1	yes	characteristic
35	C₂×C₃×C₄×D₄	C₂×C₃	1	1	yes	characteristic
36	C₃×#478	C₂×C₃	1	4	yes	—
37	C₃×#476	C₂×C₃	1	2	yes	—
38	C₃×#474	C₂×C₃	1	2	yes	—
39	C₃×#428	C₂×C₃	1	2	yes	—
40	C₃×#423	C₂×C₃	1	1	yes	characteristic
41	C₃×#418	C₂×C₃	1	2	yes	—
42	C₂⁴×C₉	—	2	1	no	—
43	C₂×Q₈×C₉	—	2	1	no	—
44	C₂×Q₈×C₉	—	2	1	no	—
45	C₂×D₄×C₉	—	2	1	no	—
46	C₂×D₄×C₉	—	2	2	no	—
47	C₂×D₄×C₉	Q₈	1	4	yes	complemented
48	C₂×D₄×C₉	C₂³	1	2	yes	—
49	C₂²×C₄×C₉	—	2	1	no	—
50	C₂²×C₄×C₉	—	2	2	no	—
51	C₂²×C₄×C₉	—	2	2	no	—
52	C₂²×C₄×C₉	—	4	4	no	—
53	C₂²×C₄×C₉	D₄	1	1	yes	characteristic
54	C₂²×C₄×C₉	D₄	1	1	yes	characteristic
55	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
56	C₉×M₁₆	—	2	4	no	—
57	C₂×C₈×C₉	C₂³	1	4	yes	—
58	C₉×C₄⋊C₄	—	2	1	no	—
59	C₉×C₄⋊C₄	—	2	2	no	—
60	C₉×C₄⋊C₄	—	2	2	no	—
61	C₉×C₄⋊C₄	—	2	1	no	—
62	C₉×C₄⋊C₄	—	2	1	no	—
63	C₉×C₄⋊C₄	C₂³	1	2	yes	—
64	C₉×C₄⋊C₄	C₂³	1	2	yes	—
65	C₉×C₄⋊C₄	C₂³	1	2	yes	—
66	C₉×C₂²⋊C₄	—	2	2	no	—
67	C₉×C₂²⋊C₄	—	2	2	no	—
68	C₉×C₂²⋊C₄	—	2	2	no	—
69	C₄²×C₉	—	2	2	no	—
70	C₄²×C₉	D₄	1	1	yes	characteristic
71	C₄²×C₉	D₄	1	1	yes	characteristic
72	C₄²×C₉	C₂³	1	1	yes	characteristic
73	C₄²×C₉	C₂³	1	1	yes	characteristic
74	#3077	C₉	1	1	yes	characteristic, direct product factor, Sylow
75	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
76	C₂³×C₃×C₄	—	2	1	no	—
77	C₂×C₃×M₁₆	C₂²×C₃	1	2	yes	—
78	C₃×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
79	C₃×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
80	C₃×#125	C₂²×C₃	1	2	yes	—
81	C₃×C₂²⋊Q₈	—	2	1	no	—
82	C₃×C₂²⋊Q₈	—	2	1	no	—
83	C₃×C₄×Q₈	—	2	1	no	—
84	C₃×C₄×Q₈	—	2	1	no	—
85	C₃×C₄×D₄	—	2	1	no	—
86	C₃×C₄×D₄	—	2	1	no	—
87	C₃×C₄×D₄	C₂²×C₃	1	2	yes	—
88	C₃×C₄×D₄	C₂²×C₃	1	2	yes	—
89	C₃×#117	C₂²×C₃	1	2	yes	—
90	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
91	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
92	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic
93	C₃×#107	C₂²×C₃	1	4	yes	—
94	C₃×#106	C₂²×C₃	1	4	yes	—
95	C₃×C₄⋊C₈	C₂²×C₃	1	2	yes	—
96	C₃×C₄⋊C₈	C₂²×C₃	1	2	yes	—
97	C₃×#102	C₂²×C₃	1	4	yes	—
98	C₃×#102	C₂²×C₃	1	4	yes	—
99	C₂³×C₉	—	2	4	no	—
100	C₂³×C₉	—	2	2	no	—
101	C₂³×C₉	—	4	2	no	—
102	C₂³×C₉	—	4	2	no	—
103	C₂³×C₉	C₂×D₄	1	1	yes	characteristic
104	Q₈×C₉	—	4	2	no	—
105	Q₈×C₉	—	4	2	no	—
106	D₄×C₉	—	2	4	no	—
107	D₄×C₉	—	2	2	no	—
108	D₄×C₉	C₂×Q₈	1	4	yes	—
109	C₂×C₄×C₉	—	2	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	4	no	—
115	C₂×C₄×C₉	—	4	2	no	—
116	C₂×C₄×C₉	—	4	4	no	—
117	C₂×C₄×C₉	C₂×D₄	1	1	yes	characteristic
118	C₂×C₄×C₉	C₂×D₄	1	1	yes	characteristic
119	C₂×C₄×C₉	C₂×D₄	1	1	yes	characteristic
120	C₂×C₄×C₉	C₂×D₄	1	1	yes	characteristic
121	C₂×C₄×C₉	C₂×D₄	1	1	yes	characteristic
122	C₂×C₄×C₉	C₂×Q₈	1	2	yes	—
123	C₂×C₄×C₉	#41	1	2	yes	—
124	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
125	C₈×C₉	—	2	4	no	—
126	#533	C₂×C₉	1	1	yes	characteristic, complemented
127	C₂×C₄×D₄	C₂×C₉	1	1	yes	characteristic
128	#478	C₂×C₉	1	4	yes	complemented
129	#476	C₂×C₉	1	2	yes	complemented
130	#474	C₂×C₉	1	2	yes	complemented
131	#428	C₂×C₉	1	2	yes	complemented
132	#423	C₂×C₉	1	1	yes	characteristic, complemented
133	#418	C₂×C₉	1	2	yes	—
134	C₂⁴×C₃	—	2	1	no	—
135	C₂×C₃×Q₈	—	2	1	no	—
136	C₂×C₃×Q₈	—	2	1	no	—
137	C₂×C₃×D₄	—	2	1	no	—
138	C₂×C₃×D₄	—	2	2	no	—
139	C₂×C₃×D₄	C₃×Q₈	1	4	yes	—
140	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
141	C₂²×C₃×C₄	—	2	1	no	—
142	C₂²×C₃×C₄	—	2	2	no	—
143	C₂²×C₃×C₄	—	2	2	no	—
144	C₂²×C₃×C₄	—	4	4	no	—
145	C₂²×C₃×C₄	C₃×D₄	1	1	yes	characteristic
146	C₂²×C₃×C₄	C₃×D₄	1	1	yes	characteristic
147	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
148	C₃×M₁₆	—	2	4	no	—
149	C₂×C₃×C₈	C₂³×C₃	1	4	yes	—
150	C₃×C₄⋊C₄	—	2	1	no	—
151	C₃×C₄⋊C₄	—	2	2	no	—
152	C₃×C₄⋊C₄	—	2	2	no	—
153	C₃×C₄⋊C₄	—	2	1	no	—
154	C₃×C₄⋊C₄	—	2	1	no	—
155	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
156	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
157	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
158	C₃×C₂²⋊C₄	—	2	2	no	—
159	C₃×C₂²⋊C₄	—	2	2	no	—
160	C₃×C₂²⋊C₄	—	2	2	no	—
161	C₃×C₄²	—	2	2	no	—
162	C₃×C₄²	C₃×D₄	1	1	yes	characteristic
163	C₃×C₄²	C₃×D₄	1	1	yes	characteristic
164	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
165	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
166	C₂²×C₉	—	2	1	no	—
167	C₂²×C₉	—	2	1	no	—
168	C₂²×C₉	—	2	4	no	—
169	C₂²×C₉	—	4	8	no	—
170	C₂²×C₉	—	4	2	no	—
171	C₂²×C₉	—	4	2	no	—
172	C₂²×C₉	C₂²⋊Q₈	1	2	yes	—
173	C₂²×C₉	C₂²×D₄	1	1	yes	characteristic
174	C₄×C₉	—	2	1	no	—
175	C₄×C₉	—	2	1	no	—
176	C₄×C₉	—	2	1	no	—
177	C₄×C₉	—	4	2	no	—
178	C₄×C₉	—	4	2	no	—
179	C₄×C₉	—	4	2	no	—
180	C₄×C₉	C₂²⋊Q₈	1	2	yes	—
181	C₄×C₉	AGL(1,ℤ/8)	1	2	yes	—
182	C₄×C₉	C₂²×Q₈	1	1	yes	characteristic
183	C₄×C₉	C₂×#41	1	1	yes	characteristic
184	C₂²×D₄	C₂²×C₉	1	1	yes	characteristic
185	C₂³×C₄	—	2	1	no	—
186	C₂×M₁₆	C₂²×C₉	1	2	yes	—
187	C₄⋊Q₈	C₂²×C₉	1	1	yes	characteristic, complemented
188	C₄⋊Q₈	C₂²×C₉	1	1	yes	characteristic, complemented
189	#125	C₂²×C₉	1	2	yes	complemented
190	C₂²⋊Q₈	—	2	1	no	—
191	C₂²⋊Q₈	—	2	1	no	—
192	C₄×Q₈	—	2	1	no	—
193	C₄×Q₈	—	2	1	no	—
194	C₄×D₄	—	2	1	no	—
195	C₄×D₄	—	2	1	no	—
196	C₄×D₄	C₂²×C₉	1	2	yes	—
197	C₄×D₄	C₂²×C₉	1	2	yes	—
198	#117	C₂²×C₉	1	2	yes	—
199	C₂×C₄⋊C₄	C₂²×C₉	1	1	yes	characteristic
200	C₂×C₂²⋊C₄	—	2	1	no	—
201	C₂×C₄²	C₂²×C₉	1	1	yes	characteristic
202	#107	C₂²×C₉	1	4	yes	complemented
203	#106	C₂²×C₉	1	4	yes	complemented
204	C₄⋊C₈	C₂²×C₉	1	2	yes	complemented
205	C₄⋊C₈	C₂²×C₉	1	2	yes	complemented
206	#102	C₂²×C₉	1	4	yes	—
207	#102	C₂²×C₉	1	4	yes	—
208	C₂³×C₃	—	2	4	no	—
209	C₂³×C₃	—	2	2	no	—
210	C₂³×C₃	—	4	2	no	—
211	C₂³×C₃	—	4	2	no	—
212	C₂³×C₃	C₂×C₃×D₄	1	1	yes	characteristic
213	C₃×Q₈	—	4	2	no	—
214	C₃×Q₈	—	4	2	no	—
215	C₃×D₄	—	2	4	no	—
216	C₃×D₄	—	2	2	no	—
217	C₃×D₄	C₂×C₃×Q₈	1	4	yes	—
218	C₂×C₃×C₄	—	2	2	no	—
219	C₂×C₃×C₄	—	2	2	no	—
220	C₂×C₃×C₄	—	2	2	no	—
221	C₂×C₃×C₄	—	2	2	no	—
222	C₂×C₃×C₄	—	4	1	no	—
223	C₂×C₃×C₄	—	4	4	no	—
224	C₂×C₃×C₄	—	4	2	no	—
225	C₂×C₃×C₄	—	4	4	no	—
226	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
227	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
228	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
229	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
230	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
231	C₂×C₃×C₄	C₂×C₃×Q₈	1	2	yes	—
232	C₂×C₃×C₄	C₃×#41	1	2	yes	—
233	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
234	C₃×C₈	—	2	4	no	—
235	C₂×C₉	—	2	2	no	—
236	C₂×C₉	—	4	4	no	—
237	C₂×C₉	C₂×C₂²⋊Q₈	1	1	yes	characteristic
238	C₂×C₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
239	C₂×C₉	#575	1	1	yes	characteristic
240	C₂⁴	—	2	1	no	—
241	C₂×Q₈	—	2	1	no	—
242	C₂×Q₈	—	2	1	no	—
243	C₂×D₄	—	2	1	no	—
244	C₂×D₄	—	2	2	no	—
245	C₂×D₄	Q₈×C₉	1	4	yes	complemented
246	C₂×D₄	C₂³×C₉	1	2	yes	—
247	C₂²×C₄	—	2	1	no	—
248	C₂²×C₄	—	2	2	no	—
249	C₂²×C₄	—	2	2	no	—
250	C₂²×C₄	—	4	4	no	—
251	C₂²×C₄	D₄×C₉	1	1	yes	characteristic
252	C₂²×C₄	D₄×C₉	1	1	yes	characteristic
253	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
254	M₁₆	—	2	4	no	—
255	C₂×C₈	C₂³×C₉	1	4	yes	—
256	C₄⋊C₄	—	2	1	no	—
257	C₄⋊C₄	—	2	2	no	—
258	C₄⋊C₄	—	2	2	no	—
259	C₄⋊C₄	—	2	1	no	—
260	C₄⋊C₄	—	2	1	no	—
261	C₄⋊C₄	C₂³×C₉	1	2	yes	—
262	C₄⋊C₄	C₂³×C₉	1	2	yes	—
263	C₄⋊C₄	C₂³×C₉	1	2	yes	—
264	C₂²⋊C₄	—	2	2	no	—
265	C₂²⋊C₄	—	2	2	no	—
266	C₂²⋊C₄	—	2	2	no	—
267	C₄²	—	2	2	no	—
268	C₄²	D₄×C₉	1	1	yes	characteristic
269	C₄²	D₄×C₉	1	1	yes	characteristic
270	C₄²	C₂³×C₉	1	1	yes	characteristic
271	C₄²	C₂³×C₉	1	1	yes	characteristic
272	C₂²×C₃	—	2	1	no	—
273	C₂²×C₃	—	2	1	no	—
274	C₂²×C₃	—	2	4	no	—
275	C₂²×C₃	—	4	8	no	—
276	C₂²×C₃	—	4	2	no	—
277	C₂²×C₃	—	4	2	no	—
278	C₂²×C₃	C₃×C₂²⋊Q₈	1	2	yes	—
279	C₂²×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
280	C₃×C₄	—	2	1	no	—
281	C₃×C₄	—	2	1	no	—
282	C₃×C₄	—	2	1	no	—
283	C₃×C₄	—	4	2	no	—
284	C₃×C₄	—	4	2	no	—
285	C₃×C₄	—	4	2	no	—
286	C₃×C₄	C₃×C₂²⋊Q₈	1	2	yes	—
287	C₃×C₄	C₃×AGL(1,ℤ/8)	1	2	yes	—
288	C₃×C₄	C₂²×C₃×Q₈	1	1	yes	characteristic
289	C₃×C₄	C₂×C₃×#41	1	1	yes	characteristic
290	C₉	#3077	1	1	yes	characteristic, direct product factor, Sylow
291	C₂³	—	2	4	no	—
292	C₂³	—	2	2	no	—
293	C₂³	—	4	2	no	—
294	C₂³	—	4	2	no	—
295	C₂³	C₂×D₄×C₉	1	1	yes	characteristic
296	Q₈	—	4	2	no	—
297	Q₈	—	4	2	no	—
298	D₄	—	2	4	no	—
299	D₄	—	2	2	no	—
300	D₄	C₂×Q₈×C₉	1	4	yes	—
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	4	1	no	—
306	C₂×C₄	—	4	4	no	—
307	C₂×C₄	—	4	2	no	—
308	C₂×C₄	—	4	4	no	—
309	C₂×C₄	C₂×D₄×C₉	1	1	yes	characteristic
310	C₂×C₄	C₂×D₄×C₉	1	1	yes	characteristic
311	C₂×C₄	C₂×D₄×C₉	1	1	yes	characteristic
312	C₂×C₄	C₂×D₄×C₉	1	1	yes	characteristic
313	C₂×C₄	C₂×D₄×C₉	1	1	yes	characteristic
314	C₂×C₄	C₂×Q₈×C₉	1	2	yes	—
315	C₂×C₄	C₉×#41	1	2	yes	—
316	C₂×C₄	C₂⁴×C₉	1	1	yes	characteristic
317	C₈	—	2	4	no	—
318	C₂×C₃	—	2	2	no	—
319	C₂×C₃	—	4	4	no	—
320	C₂×C₃	C₂×C₃×C₂²⋊Q₈	1	1	yes	characteristic
321	C₂×C₃	C₂×C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
322	C₂×C₃	C₃×#575	1	1	yes	characteristic
323	C₂²	—	2	1	no	—
324	C₂²	—	2	1	no	—
325	C₂²	—	2	4	no	—
326	C₂²	—	4	8	no	—
327	C₂²	—	4	2	no	—
328	C₂²	—	4	2	no	—
329	C₂²	C₉×C₂²⋊Q₈	1	2	yes	—
330	C₂²	C₂²×D₄×C₉	1	1	yes	characteristic
331	C₄	—	2	1	no	—
332	C₄	—	2	1	no	—
333	C₄	—	2	1	no	—
334	C₄	—	4	2	no	—
335	C₄	—	4	2	no	—
336	C₄	—	4	2	no	—
337	C₄	C₉×C₂²⋊Q₈	1	2	yes	—
338	C₄	C₉×AGL(1,ℤ/8)	1	2	yes	—
339	C₄	C₂²×Q₈×C₉	1	1	yes	characteristic
340	C₄	C₂×C₉×#41	1	1	yes	characteristic
341	C₃	C₃×#3077	1	1	yes	characteristic
342	C₂	—	2	2	no	—
343	C₂	—	4	4	no	—
344	C₂	C₂×C₉×C₂²⋊Q₈	1	1	yes	characteristic
345	C₂	C₂×C₉×AGL(1,ℤ/8)	1	1	yes	characteristic
346	C₂	C₉×#575	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₉	C₂²×D₄
commutator	C₂×C₄	C₂⁴×C₉
Frattini, cosocle	C₂×C₃×C₄	C₂⁴×C₃
socle	C₂²×C₃	C₂²×C₃×D₄
prime radical	C₂²×C₃×D₄	C₂²×C₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₉ ◁ C₂×C₄²×C₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₉×#533	C₂	semidirect
3. C₉×#478	C₂	semidirect
4. C₉×#476	C₂	semidirect
5. C₉×#474	C₂	semidirect
6. C₉×#428	C₂	semidirect
7. C₉×#423	C₂	semidirect
13. C₉×C₄⋊Q₈	C₂²	semidirect
14. C₉×C₄⋊Q₈	C₂²	semidirect
15. C₉×#125	C₂²	semidirect
28. C₉×#107	C₂²	semidirect
29. C₉×#106	C₂²	semidirect
30. C₉×C₄⋊C₈	C₂²	semidirect
31. C₉×C₄⋊C₈	C₂²	semidirect
47. C₂×D₄×C₉	Q₈	semidirect
74. #3077	C₉	direct (N × H)
126. #533	C₂×C₉	semidirect
128. #478	C₂×C₉	semidirect
129. #476	C₂×C₉	semidirect
130. #474	C₂×C₉	semidirect
131. #428	C₂×C₉	semidirect
132. #423	C₂×C₉	semidirect
187. C₄⋊Q₈	C₂²×C₉	semidirect
188. C₄⋊Q₈	C₂²×C₉	semidirect
189. #125	C₂²×C₉	semidirect
202. #107	C₂²×C₉	semidirect
203. #106	C₂²×C₉	semidirect
204. C₄⋊C₈	C₂²×C₉	semidirect
205. C₄⋊C₈	C₂²×C₉	semidirect
245. C₂×D₄	Q₈×C₉	semidirect
290. C₉	#3077	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×#533	2
C₂×C₄×D₄×C₉	2
C₉×#478	2
C₉×#476	2
C₉×#474	2
C₉×#428	2
C₉×#423	2
C₉×#418	2
C₃×#3077	3

Subgroups — C9×#3077 #11767798

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#3077 #11767798