Subgroups — C₉×#3057 #11767778

Order 1152.

738 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	C₂²×C₉×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₉×#131	C₂	1	1	yes	maximal, characteristic, complemented
3	C₉×#536	C₂	1	1	yes	maximal, characteristic, complemented
4	C₉×#535	C₂	1	1	yes	maximal, characteristic
5	C₉×#468	C₂	1	4	yes	maximal, complemented
6	C₉×#465	C₂	1	4	yes	maximal, complemented
7	C₉×#427	C₂	1	1	yes	maximal, characteristic, complemented
8	C₉×#419	C₂	1	1	yes	maximal, characteristic, complemented
9	C₉×#418	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3057	C₃	1	1	yes	maximal, characteristic
11	C₂×C₉×#41	C₂²	1	1	yes	characteristic
12	C₂²×Q₈×C₉	C₂²	1	1	yes	characteristic
13	C₂²×D₄×C₉	C₂²	1	1	yes	characteristic
14	C₂×C₉×SD₁₆	—	2	4	no	—
15	C₂×C₉×SD₁₆	C₂²	1	2	yes	—
16	C₂×C₉×SD₁₆	C₂²	1	2	yes	—
17	C₉×#131	—	2	4	no	—
18	C₂×C₉×M₁₆	C₂²	1	1	yes	characteristic
19	C₂×C₉×M₁₆	C₂²	1	2	yes	complemented
20	C₂²×C₈×C₉	C₂²	1	1	yes	characteristic
21	C₂²×C₈×C₉	C₂²	1	2	yes	complemented
22	C₉×C₄⋊Q₈	—	2	1	no	—
23	C₉×#127	—	2	1	no	—
24	C₉×#124	—	2	1	no	—
25	C₉×#124	—	2	1	no	—
26	C₉×#123	—	2	2	no	—
27	C₉×C₂²⋊Q₈	C₂²	1	4	yes	complemented
28	C₉×#121	C₂²	1	4	yes	—
29	C₉×#120	—	2	2	no	—
30	C₉×#117	C₂²	1	1	yes	characteristic
31	C₉×#117	C₂²	1	1	yes	characteristic
32	C₉×#107	C₂²	1	2	yes	complemented
33	C₉×#106	C₂²	1	2	yes	complemented
34	C₉×#103	C₂²	1	4	yes	complemented
35	C₉×#102	C₂²	1	4	yes	—
36	C₂²×C₃×SD₁₆	C₂×C₃	1	1	yes	characteristic
37	C₂×C₃×#131	C₂×C₃	1	1	yes	characteristic
38	C₃×#536	C₂×C₃	1	1	yes	characteristic
39	C₃×#535	C₂×C₃	1	1	yes	characteristic
40	C₃×#468	C₂×C₃	1	4	yes	—
41	C₃×#465	C₂×C₃	1	4	yes	—
42	C₃×#427	C₂×C₃	1	1	yes	characteristic
43	C₃×#419	C₂×C₃	1	1	yes	characteristic
44	C₃×#418	C₂×C₃	1	1	yes	characteristic
45	C₂⁴×C₉	—	2	1	no	—
46	C₉×#41	—	2	2	no	—
47	C₉×#41	—	2	2	no	—
48	C₂×Q₈×C₉	—	2	1	no	—
49	C₂×Q₈×C₉	—	2	2	no	—
50	C₂×Q₈×C₉	—	2	2	no	—
51	C₂×Q₈×C₉	D₄	1	1	yes	characteristic
52	C₂×Q₈×C₉	C₂³	1	2	yes	—
53	C₂×D₄×C₉	—	2	4	no	—
54	C₂×D₄×C₉	—	2	2	no	—
55	C₂×D₄×C₉	—	2	1	no	—
56	C₂×D₄×C₉	—	2	2	no	—
57	C₂×D₄×C₉	D₄	1	2	yes	—
58	C₂×D₄×C₉	D₄	1	1	yes	characteristic
59	C₂×D₄×C₉	C₂³	1	2	yes	—
60	C₂²×C₄×C₉	—	2	1	no	—
61	C₂²×C₄×C₉	C₂³	1	2	yes	—
62	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
63	C₉×SD₁₆	—	2	4	no	—
64	C₉×SD₁₆	—	2	4	no	—
65	C₉×M₁₆	—	2	2	no	—
66	C₉×M₁₆	—	2	4	no	—
67	C₂×C₈×C₉	—	2	4	no	—
68	C₂×C₈×C₉	D₄	1	4	yes	complemented
69	C₂×C₈×C₉	C₂³	1	2	yes	—
70	C₂×C₈×C₉	C₂³	1	1	yes	characteristic
71	C₂×C₈×C₉	C₂³	1	1	yes	characteristic
72	C₉×C₄⋊C₄	—	2	4	no	—
73	C₉×C₄⋊C₄	C₂³	1	2	yes	—
74	C₉×C₄⋊C₄	C₂³	1	2	yes	—
75	C₉×C₂²⋊C₄	—	2	1	no	—
76	C₉×C₂²⋊C₄	—	2	1	no	—
77	C₉×C₂²⋊C₄	—	2	4	no	—
78	C₉×C₂²⋊C₄	—	2	4	no	—
79	C₄²×C₉	—	2	1	no	—
80	C₄²×C₉	—	2	1	no	—
81	#3057	C₉	1	1	yes	characteristic, direct product factor, Sylow
82	C₂×C₃×#41	C₂²×C₃	1	1	yes	characteristic
83	C₂²×C₃×Q₈	C₂²×C₃	1	1	yes	characteristic
84	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
85	C₂×C₃×SD₁₆	—	2	4	no	—
86	C₂×C₃×SD₁₆	C₂²×C₃	1	2	yes	—
87	C₂×C₃×SD₁₆	C₂²×C₃	1	2	yes	—
88	C₃×#131	—	2	4	no	—
89	C₂×C₃×M₁₆	C₂²×C₃	1	1	yes	characteristic
90	C₂×C₃×M₁₆	C₂²×C₃	1	2	yes	—
91	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
92	C₂²×C₃×C₈	C₂²×C₃	1	2	yes	—
93	C₃×C₄⋊Q₈	—	2	1	no	—
94	C₃×#127	—	2	1	no	—
95	C₃×#124	—	2	1	no	—
96	C₃×#124	—	2	1	no	—
97	C₃×#123	—	2	2	no	—
98	C₃×C₂²⋊Q₈	C₂²×C₃	1	4	yes	—
99	C₃×#121	C₂²×C₃	1	4	yes	—
100	C₃×#120	—	2	2	no	—
101	C₃×#117	C₂²×C₃	1	1	yes	characteristic
102	C₃×#117	C₂²×C₃	1	1	yes	characteristic
103	C₃×#107	C₂²×C₃	1	2	yes	—
104	C₃×#106	C₂²×C₃	1	2	yes	—
105	C₃×#103	C₂²×C₃	1	4	yes	—
106	C₃×#102	C₂²×C₃	1	4	yes	—
107	C₂³×C₉	—	2	2	no	—
108	C₂³×C₉	—	4	2	no	—
109	C₂³×C₉	—	8	2	no	—
110	C₂³×C₉	C₂×D₄	1	2	yes	—
111	C₂³×C₉	C₂×D₄	1	1	yes	characteristic
112	Q₈×C₉	—	2	2	no	—
113	Q₈×C₉	—	2	2	no	—
114	Q₈×C₉	—	2	2	no	—
115	Q₈×C₉	—	4	2	no	—
116	D₄×C₉	—	2	4	no	—
117	D₄×C₉	—	2	2	no	—
118	D₄×C₉	—	2	2	no	—
119	D₄×C₉	—	2	2	no	—
120	D₄×C₉	—	4	2	no	—
121	D₄×C₉	—	8	4	no	—
122	C₂×C₄×C₉	—	2	2	no	—
123	C₂×C₄×C₉	—	2	2	no	—
124	C₂×C₄×C₉	—	2	2	no	—
125	C₂×C₄×C₉	—	2	2	no	—
126	C₂×C₄×C₉	—	2	2	no	—
127	C₂×C₄×C₉	—	4	2	no	—
128	C₂×C₄×C₉	C₂×D₄	1	2	yes	—
129	C₂×C₄×C₉	C₂×D₄	1	1	yes	characteristic
130	C₂×C₄×C₉	C₂×D₄	1	2	yes	—
131	C₂×C₄×C₉	#41	1	2	yes	—
132	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
133	C₈×C₉	—	2	2	no	—
134	C₈×C₉	C₂×D₄	1	2	yes	—
135	C₈×C₉	C₂×D₄	1	2	yes	—
136	C₂²×SD₁₆	C₂×C₉	1	1	yes	characteristic, complemented
137	C₂×#131	C₂×C₉	1	1	yes	characteristic, complemented
138	#536	C₂×C₉	1	1	yes	characteristic, complemented
139	#535	C₂×C₉	1	1	yes	characteristic
140	#468	C₂×C₉	1	4	yes	complemented
141	#465	C₂×C₉	1	4	yes	complemented
142	#427	C₂×C₉	1	1	yes	characteristic, complemented
143	#419	C₂×C₉	1	1	yes	characteristic, complemented
144	#418	C₂×C₉	1	1	yes	characteristic, complemented
145	C₂⁴×C₃	—	2	1	no	—
146	C₃×#41	—	2	2	no	—
147	C₃×#41	—	2	2	no	—
148	C₂×C₃×Q₈	—	2	1	no	—
149	C₂×C₃×Q₈	—	2	2	no	—
150	C₂×C₃×Q₈	—	2	2	no	—
151	C₂×C₃×Q₈	C₃×D₄	1	1	yes	characteristic
152	C₂×C₃×Q₈	C₂³×C₃	1	2	yes	—
153	C₂×C₃×D₄	—	2	4	no	—
154	C₂×C₃×D₄	—	2	2	no	—
155	C₂×C₃×D₄	—	2	1	no	—
156	C₂×C₃×D₄	—	2	2	no	—
157	C₂×C₃×D₄	C₃×D₄	1	2	yes	—
158	C₂×C₃×D₄	C₃×D₄	1	1	yes	characteristic
159	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
160	C₂²×C₃×C₄	—	2	1	no	—
161	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
162	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
163	C₃×SD₁₆	—	2	4	no	—
164	C₃×SD₁₆	—	2	4	no	—
165	C₃×M₁₆	—	2	2	no	—
166	C₃×M₁₆	—	2	4	no	—
167	C₂×C₃×C₈	—	2	4	no	—
168	C₂×C₃×C₈	C₃×D₄	1	4	yes	—
169	C₂×C₃×C₈	C₂³×C₃	1	2	yes	—
170	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
171	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
172	C₃×C₄⋊C₄	—	2	4	no	—
173	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
174	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
175	C₃×C₂²⋊C₄	—	2	1	no	—
176	C₃×C₂²⋊C₄	—	2	1	no	—
177	C₃×C₂²⋊C₄	—	2	4	no	—
178	C₃×C₂²⋊C₄	—	2	4	no	—
179	C₃×C₄²	—	2	1	no	—
180	C₃×C₄²	—	2	1	no	—
181	C₂²×C₉	—	2	2	no	—
182	C₂²×C₉	—	2	2	no	—
183	C₂²×C₉	—	2	4	no	—
184	C₂²×C₉	—	4	2	no	—
185	C₂²×C₉	—	4	4	no	—
186	C₂²×C₉	—	8	4	no	—
187	C₂²×C₉	#121	1	2	yes	—
188	C₂²×C₉	C₂²×D₄	1	1	yes	characteristic
189	C₄×C₉	—	2	2	no	—
190	C₄×C₉	—	4	2	no	—
191	C₄×C₉	—	4	2	no	—
192	C₄×C₉	—	4	2	no	—
193	C₄×C₉	#121	1	2	yes	—
194	C₄×C₉	C₂²×D₄	1	1	yes	characteristic
195	C₄×C₉	C₂×#41	1	1	yes	characteristic
196	C₂×#41	C₂²×C₉	1	1	yes	characteristic
197	C₂²×Q₈	C₂²×C₉	1	1	yes	characteristic
198	C₂²×D₄	C₂²×C₉	1	1	yes	characteristic
199	C₂×SD₁₆	—	2	4	no	—
200	C₂×SD₁₆	C₂²×C₉	1	2	yes	—
201	C₂×SD₁₆	C₂²×C₉	1	2	yes	—
202	#131	—	2	4	no	—
203	C₂×M₁₆	C₂²×C₉	1	1	yes	characteristic
204	C₂×M₁₆	C₂²×C₉	1	2	yes	complemented
205	C₂²×C₈	C₂²×C₉	1	1	yes	characteristic
206	C₂²×C₈	C₂²×C₉	1	2	yes	complemented
207	C₄⋊Q₈	—	2	1	no	—
208	#127	—	2	1	no	—
209	#124	—	2	1	no	—
210	#124	—	2	1	no	—
211	#123	—	2	2	no	—
212	C₂²⋊Q₈	C₂²×C₉	1	4	yes	complemented
213	#121	C₂²×C₉	1	4	yes	—
214	#120	—	2	2	no	—
215	#117	C₂²×C₉	1	1	yes	characteristic
216	#117	C₂²×C₉	1	1	yes	characteristic
217	#107	C₂²×C₉	1	2	yes	complemented
218	#106	C₂²×C₉	1	2	yes	complemented
219	#103	C₂²×C₉	1	4	yes	complemented
220	#102	C₂²×C₉	1	4	yes	—
221	C₂³×C₃	—	2	2	no	—
222	C₂³×C₃	—	4	2	no	—
223	C₂³×C₃	—	8	2	no	—
224	C₂³×C₃	C₂×C₃×D₄	1	2	yes	—
225	C₂³×C₃	C₂×C₃×D₄	1	1	yes	characteristic
226	C₃×Q₈	—	2	2	no	—
227	C₃×Q₈	—	2	2	no	—
228	C₃×Q₈	—	2	2	no	—
229	C₃×Q₈	—	4	2	no	—
230	C₃×D₄	—	2	4	no	—
231	C₃×D₄	—	2	2	no	—
232	C₃×D₄	—	2	2	no	—
233	C₃×D₄	—	2	2	no	—
234	C₃×D₄	—	4	2	no	—
235	C₃×D₄	—	8	4	no	—
236	C₂×C₃×C₄	—	2	2	no	—
237	C₂×C₃×C₄	—	2	2	no	—
238	C₂×C₃×C₄	—	2	2	no	—
239	C₂×C₃×C₄	—	2	2	no	—
240	C₂×C₃×C₄	—	2	2	no	—
241	C₂×C₃×C₄	—	4	2	no	—
242	C₂×C₃×C₄	C₂×C₃×D₄	1	2	yes	—
243	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
244	C₂×C₃×C₄	C₂×C₃×D₄	1	2	yes	—
245	C₂×C₃×C₄	C₃×#41	1	2	yes	—
246	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
247	C₃×C₈	—	2	2	no	—
248	C₃×C₈	C₂×C₃×D₄	1	2	yes	—
249	C₃×C₈	C₂×C₃×D₄	1	2	yes	—
250	C₂×C₉	—	2	2	no	—
251	C₂×C₉	—	4	2	no	—
252	C₂×C₉	—	8	2	no	—
253	C₂×C₉	C₂×#121	1	1	yes	characteristic
254	C₂×C₉	#577	1	2	yes	—
255	C₂⁴	—	2	1	no	—
256	#41	—	2	2	no	—
257	#41	—	2	2	no	—
258	C₂×Q₈	—	2	1	no	—
259	C₂×Q₈	—	2	2	no	—
260	C₂×Q₈	—	2	2	no	—
261	C₂×Q₈	D₄×C₉	1	1	yes	characteristic
262	C₂×Q₈	C₂³×C₉	1	2	yes	—
263	C₂×D₄	—	2	4	no	—
264	C₂×D₄	—	2	2	no	—
265	C₂×D₄	—	2	1	no	—
266	C₂×D₄	—	2	2	no	—
267	C₂×D₄	D₄×C₉	1	2	yes	—
268	C₂×D₄	D₄×C₉	1	1	yes	characteristic
269	C₂×D₄	C₂³×C₉	1	2	yes	—
270	C₂²×C₄	—	2	1	no	—
271	C₂²×C₄	C₂³×C₉	1	2	yes	—
272	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
273	SD₁₆	—	2	4	no	—
274	SD₁₆	—	2	4	no	—
275	M₁₆	—	2	2	no	—
276	M₁₆	—	2	4	no	—
277	C₂×C₈	—	2	4	no	—
278	C₂×C₈	D₄×C₉	1	4	yes	complemented
279	C₂×C₈	C₂³×C₉	1	2	yes	—
280	C₂×C₈	C₂³×C₉	1	1	yes	characteristic
281	C₂×C₈	C₂³×C₉	1	1	yes	characteristic
282	C₄⋊C₄	—	2	4	no	—
283	C₄⋊C₄	C₂³×C₉	1	2	yes	—
284	C₄⋊C₄	C₂³×C₉	1	2	yes	—
285	C₂²⋊C₄	—	2	1	no	—
286	C₂²⋊C₄	—	2	1	no	—
287	C₂²⋊C₄	—	2	4	no	—
288	C₂²⋊C₄	—	2	4	no	—
289	C₄²	—	2	1	no	—
290	C₄²	—	2	1	no	—
291	C₂²×C₃	—	2	2	no	—
292	C₂²×C₃	—	2	4	no	—
293	C₂²×C₃	—	2	2	no	—
294	C₂²×C₃	—	4	4	no	—
295	C₂²×C₃	—	4	2	no	—
296	C₂²×C₃	—	8	4	no	—
297	C₂²×C₃	C₃×#121	1	2	yes	—
298	C₂²×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
299	C₃×C₄	—	2	2	no	—
300	C₃×C₄	—	4	2	no	—
301	C₃×C₄	—	4	2	no	—
302	C₃×C₄	—	4	2	no	—
303	C₃×C₄	C₃×#121	1	2	yes	—
304	C₃×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
305	C₃×C₄	C₂×C₃×#41	1	1	yes	characteristic
306	C₉	#3057	1	1	yes	characteristic, direct product factor, Sylow
307	C₂³	—	2	2	no	—
308	C₂³	—	4	2	no	—
309	C₂³	—	8	2	no	—
310	C₂³	C₂×D₄×C₉	1	2	yes	—
311	C₂³	C₂×D₄×C₉	1	1	yes	characteristic
312	Q₈	—	2	2	no	—
313	Q₈	—	2	2	no	—
314	Q₈	—	2	2	no	—
315	Q₈	—	4	2	no	—
316	D₄	—	2	4	no	—
317	D₄	—	2	2	no	—
318	D₄	—	2	2	no	—
319	D₄	—	2	2	no	—
320	D₄	—	4	2	no	—
321	D₄	—	8	4	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	C₂×D₄×C₉	1	2	yes	—
329	C₂×C₄	C₂×D₄×C₉	1	1	yes	characteristic
330	C₂×C₄	C₂×D₄×C₉	1	2	yes	—
331	C₂×C₄	C₉×#41	1	2	yes	—
332	C₂×C₄	C₂⁴×C₉	1	1	yes	characteristic
333	C₈	—	2	2	no	—
334	C₈	C₂×D₄×C₉	1	2	yes	—
335	C₈	C₂×D₄×C₉	1	2	yes	—
336	C₂×C₃	—	2	2	no	—
337	C₂×C₃	—	4	2	no	—
338	C₂×C₃	—	8	2	no	—
339	C₂×C₃	C₂×C₃×#121	1	1	yes	characteristic
340	C₂×C₃	C₃×#577	1	2	yes	—
341	C₂²	—	2	2	no	—
342	C₂²	—	2	2	no	—
343	C₂²	—	2	4	no	—
344	C₂²	—	4	2	no	—
345	C₂²	—	4	4	no	—
346	C₂²	—	8	4	no	—
347	C₂²	C₉×#121	1	2	yes	—
348	C₂²	C₂²×D₄×C₉	1	1	yes	characteristic
349	C₄	—	2	2	no	—
350	C₄	—	4	2	no	—
351	C₄	—	4	2	no	—
352	C₄	—	4	2	no	—
353	C₄	C₉×#121	1	2	yes	—
354	C₄	C₂²×D₄×C₉	1	1	yes	characteristic
355	C₄	C₂×C₉×#41	1	1	yes	characteristic
356	C₃	C₃×#3057	1	1	yes	characteristic
357	C₂	—	2	2	no	—
358	C₂	—	4	2	no	—
359	C₂	—	8	2	no	—
360	C₂	C₂×C₉×#121	1	1	yes	characteristic
361	C₂	C₉×#577	1	2	yes	—

	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	C₃×#535	C₂×C₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₉ ◁ C₂×C₉×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂²×C₉×SD₁₆	C₂	semidirect
2. C₂×C₉×#131	C₂	semidirect
3. C₉×#536	C₂	semidirect
5. C₉×#468	C₂	semidirect
6. C₉×#465	C₂	semidirect
7. C₉×#427	C₂	semidirect
8. C₉×#419	C₂	semidirect
9. C₉×#418	C₂	semidirect
19. C₂×C₉×M₁₆	C₂²	semidirect
21. C₂²×C₈×C₉	C₂²	semidirect
27. C₉×C₂²⋊Q₈	C₂²	semidirect
32. C₉×#107	C₂²	semidirect
33. C₉×#106	C₂²	semidirect
34. C₉×#103	C₂²	semidirect
68. C₂×C₈×C₉	D₄	semidirect
81. #3057	C₉	direct (N × H)
136. C₂²×SD₁₆	C₂×C₉	semidirect
137. C₂×#131	C₂×C₉	semidirect
138. #536	C₂×C₉	semidirect
140. #468	C₂×C₉	semidirect
141. #465	C₂×C₉	semidirect
142. #427	C₂×C₉	semidirect
143. #419	C₂×C₉	semidirect
144. #418	C₂×C₉	semidirect
204. C₂×M₁₆	C₂²×C₉	semidirect
206. C₂²×C₈	C₂²×C₉	semidirect
212. C₂²⋊Q₈	C₂²×C₉	semidirect
217. #107	C₂²×C₉	semidirect
218. #106	C₂²×C₉	semidirect
219. #103	C₂²×C₉	semidirect
278. C₂×C₈	D₄×C₉	semidirect
306. C₉	#3057	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₉×SD₁₆	2
C₂×C₉×#131	2
C₉×#536	2
C₉×#535	2
C₉×#468	2
C₉×#465	2
C₉×#427	2
C₉×#419	2
C₉×#418	2
C₃×#3057	3

Subgroups — C9×#3057 #11767778

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#3057 #11767778