Subgroups — C₉×#5477 #13152294

Order 1728.

1038 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	C₂×C₉×#235	C₂	1	2	yes	maximal, complemented
2	C₂×C₃×C₄²×C₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₉×#930	C₂	1	4	yes	maximal, complemented
4	C₉×#875	C₂	1	2	yes	maximal, complemented
5	C₉×#874	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄×C₉×D₁₂	C₂	1	4	yes	maximal, complemented
7	C₉×#869	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5477	C₃	1	1	yes	maximal, characteristic
9	C₉×#532	—	3	1	no	maximal
10	C₂²×C₃×C₄×C₉	C₂²	1	2	yes	—
11	C₂²×C₃×C₄×C₉	C₂²	1	1	yes	characteristic
12	C₂×C₉×#67	C₂²	1	4	yes	—
13	C₉×#235	—	2	8	no	—
14	C₂×C₉×D₁₂	C₂²	1	2	yes	—
15	C₂×C₉×D₁₂	C₂²	1	4	yes	—
16	C₂×C₄×D₃×C₉	C₂²	1	4	yes	—
17	C₂×C₉×Dic₆	C₂²	1	2	yes	—
18	C₃×C₄²×C₉	C₂²	1	1	yes	characteristic
19	C₃×C₄²×C₉	C₂²	1	2	yes	—
20	C₃×C₄²×C₉	C₂²	1	1	yes	characteristic
21	C₉×(C₂×D₃)⋊C₄	C₂²	1	8	yes	—
22	C₉×C₄⋊Dic₃	C₂²	1	4	yes	—
23	C₂×C₃×#235	C₂×C₃	1	2	yes	—
24	C₂×C₃²×C₄²	C₂×C₃	1	1	yes	characteristic
25	C₃×#930	C₂×C₃	1	4	yes	—
26	C₃×#875	C₂×C₃	1	2	yes	—
27	C₃×#874	C₂×C₃	1	1	yes	characteristic
28	C₃×C₄×D₁₂	C₂×C₃	1	4	yes	—
29	C₃×#869	C₂×C₃	1	1	yes	characteristic
30	C₂×C₉×#41	—	3	2	no	—
31	C₉×C₄⋊Q₈	—	3	1	no	—
32	C₉×#127	—	3	1	no	—
33	C₉×#124	—	3	2	no	—
34	C₉×#121	—	3	4	no	—
35	C₄×D₄×C₉	—	3	4	no	—
36	C₂×C₄²×C₉	—	2	1	no	—
37	C₂×C₄²×C₉	D₃	1	1	yes	characteristic, complemented
38	C₂³×C₃×C₉	C₂³	1	1	yes	characteristic
39	C₂²×D₃×C₉	C₂³	1	4	yes	—
40	C₂×C₃×C₄×C₉	—	2	4	no	—
41	C₂×C₃×C₄×C₉	D₄	1	4	yes	complemented
42	C₂×C₃×C₄×C₉	C₂³	1	2	yes	—
43	C₂×C₃×C₄×C₉	C₂³	1	1	yes	characteristic
44	C₂×C₃×C₄×C₉	C₂³	1	1	yes	characteristic
45	C₂×C₃×C₄×C₉	C₂³	1	2	yes	—
46	C₉×#67	—	2	8	no	—
47	C₂×C₉×Dic₃	C₂³	1	4	yes	—
48	C₉×D₁₂	—	2	4	no	—
49	C₉×D₁₂	—	2	8	no	—
50	C₄×D₃×C₉	—	2	8	no	—
51	C₉×Dic₆	—	2	4	no	—
52	C₃×#532	—	3	1	no	—
53	#5477	C₉	1	1	yes	characteristic, direct product factor
54	C₂²×C₃²×C₄	C₂²×C₃	1	2	yes	—
55	C₂²×C₃²×C₄	C₂²×C₃	1	1	yes	characteristic
56	C₂×C₃×#67	C₂²×C₃	1	4	yes	—
57	C₃×#235	—	2	8	no	—
58	C₂×C₃×D₁₂	C₂²×C₃	1	4	yes	—
59	C₂×C₃×D₁₂	C₂²×C₃	1	2	yes	—
60	C₂×C₃×C₄×D₃	C₂²×C₃	1	4	yes	—
61	C₂×C₃×Dic₆	C₂²×C₃	1	2	yes	—
62	C₃²×C₄²	C₂²×C₃	1	1	yes	characteristic
63	C₃²×C₄²	C₂²×C₃	1	2	yes	—
64	C₃²×C₄²	C₂²×C₃	1	1	yes	characteristic
65	C₃×(C₂×D₃)⋊C₄	C₂²×C₃	1	8	yes	—
66	C₃×C₄⋊Dic₃	C₂²×C₃	1	4	yes	—
67	C₉×#41	—	6	8	no	—
68	C₂×Q₈×C₉	—	3	2	no	—
69	C₂×D₄×C₉	—	3	4	no	—
70	C₂×D₄×C₉	—	3	4	no	—
71	C₂×D₄×C₉	—	3	2	no	—
72	C₂²×C₄×C₉	—	2	2	no	—
73	C₂²×C₄×C₉	—	2	1	no	—
74	C₂²×C₄×C₉	—	3	4	no	—
75	C₂²×C₄×C₉	C₂×D₃	1	2	yes	—
76	C₂²×C₄×C₉	C₂×D₃	1	1	yes	characteristic
77	C₉×C₄⋊C₄	—	3	4	no	—
78	C₉×C₂²⋊C₄	—	3	8	no	—
79	C₄²×C₉	—	2	2	no	—
80	C₄²×C₉	—	2	1	no	—
81	C₄²×C₉	—	2	1	no	—
82	C₄²×C₉	C₂×D₃	1	1	yes	characteristic
83	C₄²×C₉	C₂×D₃	1	1	yes	characteristic
84	C₄²×C₉	C₂×D₃	1	2	yes	—
85	C₂²×C₃×C₉	—	2	2	no	—
86	C₂²×C₃×C₉	C₂×D₄	1	2	yes	—
87	C₂²×C₃×C₉	C₂⁴	1	1	yes	characteristic
88	C₂×D₃×C₉	—	2	4	no	—
89	C₂×D₃×C₉	—	2	8	no	—
90	C₃×C₄×C₉	—	2	2	no	—
91	C₃×C₄×C₉	C₂×D₄	1	2	yes	—
92	C₃×C₄×C₉	C₂×D₄	1	2	yes	—
93	C₃×C₄×C₉	#41	1	4	yes	complemented
94	C₉×Dic₃	—	2	4	no	—
95	C₂×C₃×#41	—	3	2	no	—
96	C₂×#235	C₂×C₉	1	2	yes	complemented
97	C₃×C₄⋊Q₈	—	3	1	no	—
98	C₃×#127	—	3	1	no	—
99	C₃×#124	—	3	2	no	—
100	C₃×#121	—	3	4	no	—
101	C₃×C₄×D₄	—	3	4	no	—
102	C₂×C₃×C₄²	—	2	1	no	—
103	C₂×C₃×C₄²	C₂×C₉	1	1	yes	characteristic, complemented
104	C₂×C₃×C₄²	C₃×D₃	1	1	yes	characteristic
105	#930	C₂×C₉	1	4	yes	complemented
106	#875	C₂×C₉	1	2	yes	complemented
107	#874	C₂×C₉	1	1	yes	characteristic, complemented
108	C₄×D₁₂	C₂×C₉	1	4	yes	complemented
109	#869	C₂×C₉	1	1	yes	characteristic, complemented
110	C₂³×C₃²	C₂³×C₃	1	1	yes	characteristic
111	C₂²×C₃×D₃	C₂³×C₃	1	4	yes	—
112	C₂×C₃²×C₄	—	2	4	no	—
113	C₂×C₃²×C₄	C₃×D₄	1	4	yes	—
114	C₂×C₃²×C₄	C₂³×C₃	1	2	yes	—
115	C₂×C₃²×C₄	C₂³×C₃	1	1	yes	characteristic
116	C₂×C₃²×C₄	C₂³×C₃	1	1	yes	characteristic
117	C₂×C₃²×C₄	C₂³×C₃	1	2	yes	—
118	C₃×#67	—	2	8	no	—
119	C₂×C₃×Dic₃	C₂³×C₃	1	4	yes	—
120	C₃×D₁₂	—	2	4	no	—
121	C₃×D₁₂	—	2	8	no	—
122	C₃×C₄×D₃	—	2	8	no	—
123	C₃×Dic₆	—	2	4	no	—
124	C₂³×C₉	—	2	1	no	—
125	C₂³×C₉	—	3	4	no	—
126	C₂³×C₉	C₂²×D₃	1	1	yes	characteristic
127	Q₈×C₉	—	6	4	no	—
128	D₄×C₉	—	6	8	no	—
129	D₄×C₉	—	6	4	no	—
130	D₄×C₉	—	6	8	no	—
131	C₂×C₄×C₉	—	2	8	no	—
132	C₂×C₄×C₉	—	2	4	no	—
133	C₂×C₄×C₉	—	2	4	no	—
134	C₂×C₄×C₉	—	2	2	no	—
135	C₂×C₄×C₉	—	2	1	no	—
136	C₂×C₄×C₉	—	2	1	no	—
137	C₂×C₄×C₉	—	2	2	no	—
138	C₂×C₄×C₉	—	3	4	no	—
139	C₂×C₄×C₉	—	6	8	no	—
140	C₂×C₄×C₉	D₁₂	1	4	yes	complemented
141	C₂×C₄×C₉	C₂²×D₃	1	2	yes	—
142	C₂×C₄×C₉	C₂²×D₃	1	1	yes	characteristic
143	C₂×C₄×C₉	C₂²×D₃	1	2	yes	—
144	C₂×C₄×C₉	C₂²×D₃	1	1	yes	characteristic
145	#532	—	3	1	no	Sylow
146	C₂×C₃×C₉	—	2	2	no	—
147	C₂×C₃×C₉	C₂²×D₄	1	1	yes	characteristic
148	C₂×C₃×C₉	C₂×#41	1	2	yes	—
149	D₃×C₉	—	4	4	no	—
150	C₃×#41	—	6	8	no	—
151	C₂×C₃×Q₈	—	3	2	no	—
152	C₂×C₃×D₄	—	3	4	no	—
153	C₂×C₃×D₄	—	3	4	no	—
154	C₂×C₃×D₄	—	3	2	no	—
155	C₂²×C₃×C₄	—	2	2	no	—
156	C₂²×C₃×C₄	—	2	1	no	—
157	C₂²×C₃×C₄	—	3	4	no	—
158	C₂²×C₃×C₄	C₂²×C₉	1	2	yes	—
159	C₂²×C₃×C₄	C₂²×C₉	1	1	yes	characteristic
160	C₂²×C₃×C₄	C₂×C₃×D₃	1	2	yes	—
161	C₂²×C₃×C₄	C₂×C₃×D₃	1	1	yes	characteristic
162	C₂×#67	C₂²×C₉	1	4	yes	—
163	#235	—	2	8	no	—
164	C₂×D₁₂	C₂²×C₉	1	4	yes	—
165	C₂×D₁₂	C₂²×C₉	1	2	yes	—
166	C₂×C₄×D₃	C₂²×C₉	1	4	yes	—
167	C₂×Dic₆	C₂²×C₉	1	2	yes	—
168	C₃×C₄⋊C₄	—	3	4	no	—
169	C₃×C₂²⋊C₄	—	3	8	no	—
170	C₃×C₄²	—	2	2	no	—
171	C₃×C₄²	—	2	1	no	—
172	C₃×C₄²	—	2	1	no	—
173	C₃×C₄²	C₂²×C₉	1	1	yes	characteristic
174	C₃×C₄²	C₂²×C₉	1	2	yes	—
175	C₃×C₄²	C₂²×C₉	1	1	yes	characteristic
176	C₃×C₄²	C₂×C₃×D₃	1	2	yes	—
177	C₃×C₄²	C₂×C₃×D₃	1	1	yes	characteristic
178	C₃×C₄²	C₂×C₃×D₃	1	1	yes	characteristic
179	(C₂×D₃)⋊C₄	C₂²×C₉	1	8	yes	—
180	C₄⋊Dic₃	C₂²×C₉	1	4	yes	—
181	C₂²×C₃²	—	2	2	no	—
182	C₂²×C₃²	C₂×C₃×D₄	1	2	yes	—
183	C₂²×C₃²	C₂⁴×C₃	1	1	yes	characteristic
184	C₂×C₃×D₃	—	2	4	no	—
185	C₂×C₃×D₃	—	2	8	no	—
186	C₃²×C₄	—	2	2	no	—
187	C₃²×C₄	C₂×C₃×D₄	1	2	yes	—
188	C₃²×C₄	C₂×C₃×D₄	1	2	yes	—
189	C₃²×C₄	C₃×#41	1	4	yes	—
190	C₃×Dic₃	—	2	4	no	—
191	C₂²×C₉	—	2	4	no	—
192	C₂²×C₉	—	2	2	no	—
193	C₂²×C₉	—	2	1	no	—
194	C₂²×C₉	—	2	2	no	—
195	C₂²×C₉	—	6	4	no	—
196	C₂²×C₉	—	6	8	no	—
197	C₂²×C₉	C₂×D₁₂	1	2	yes	—
198	C₂²×C₉	C₂³×D₃	1	1	yes	characteristic
199	C₄×C₉	—	2	4	no	—
200	C₄×C₉	—	2	2	no	—
201	C₄×C₉	—	2	2	no	—
202	C₄×C₉	—	2	2	no	—
203	C₄×C₉	—	2	4	no	—
204	C₄×C₉	—	6	4	no	—
205	C₄×C₉	C₂×D₁₂	1	2	yes	—
206	C₄×C₉	C₂×D₁₂	1	2	yes	—
207	C₄×C₉	#235	1	4	yes	complemented
208	C₂×#41	—	3	2	no	—
209	C₄⋊Q₈	—	3	1	no	—
210	#127	—	3	1	no	—
211	#124	—	3	2	no	—
212	#121	—	3	4	no	—
213	C₄×D₄	—	3	4	no	—
214	C₂×C₄²	D₃×C₉	1	1	yes	characteristic, complemented
215	C₃×C₉	#532	1	1	yes	characteristic, complemented, Sylow
216	C₂³×C₃	—	2	1	no	—
217	C₂³×C₃	—	3	4	no	—
218	C₂³×C₃	C₂³×C₉	1	1	yes	characteristic
219	C₂³×C₃	C₂²×C₃×D₃	1	1	yes	characteristic
220	C₂²×D₃	C₂³×C₉	1	4	yes	—
221	C₃×Q₈	—	6	4	no	—
222	C₃×D₄	—	6	8	no	—
223	C₃×D₄	—	6	4	no	—
224	C₃×D₄	—	6	8	no	—
225	C₂×C₃×C₄	—	2	8	no	—
226	C₂×C₃×C₄	—	2	4	no	—
227	C₂×C₃×C₄	—	2	4	no	—
228	C₂×C₃×C₄	—	2	4	no	—
229	C₂×C₃×C₄	—	2	2	no	—
230	C₂×C₃×C₄	—	2	1	no	—
231	C₂×C₃×C₄	—	2	1	no	—
232	C₂×C₃×C₄	—	2	2	no	—
233	C₂×C₃×C₄	—	3	4	no	—
234	C₂×C₃×C₄	—	6	8	no	—
235	C₂×C₃×C₄	D₄×C₉	1	4	yes	complemented
236	C₂×C₃×C₄	C₂³×C₉	1	2	yes	—
237	C₂×C₃×C₄	C₂³×C₉	1	1	yes	characteristic
238	C₂×C₃×C₄	C₂³×C₉	1	1	yes	characteristic
239	C₂×C₃×C₄	C₂³×C₉	1	2	yes	—
240	C₂×C₃×C₄	C₃×D₁₂	1	4	yes	—
241	C₂×C₃×C₄	C₂²×C₃×D₃	1	2	yes	—
242	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
243	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
244	C₂×C₃×C₄	C₂²×C₃×D₃	1	2	yes	—
245	#67	—	2	8	no	—
246	C₂×Dic₃	C₂³×C₉	1	4	yes	—
247	D₁₂	—	2	4	no	—
248	D₁₂	—	2	8	no	—
249	C₄×D₃	—	2	8	no	—
250	Dic₆	—	2	4	no	—
251	C₂×C₃²	—	2	2	no	—
252	C₂×C₃²	C₂²×C₃×D₄	1	1	yes	characteristic
253	C₂×C₃²	C₂×C₃×#41	1	2	yes	—
254	C₃×D₃	—	4	4	no	—
255	C₂×C₉	—	2	4	no	—
256	C₂×C₉	—	2	2	no	—
257	C₂×C₉	—	2	1	no	—
258	C₂×C₉	—	2	2	no	—
259	C₂×C₉	—	12	4	no	—
260	C₂×C₉	C₂²×D₁₂	1	1	yes	characteristic
261	C₂×C₉	C₂×#235	1	2	yes	—
262	#41	—	6	8	no	—
263	C₂×Q₈	—	3	2	no	—
264	C₂×D₄	—	3	4	no	—
265	C₂×D₄	—	3	4	no	—
266	C₂×D₄	—	3	2	no	—
267	C₂²×C₄	—	3	4	no	—
268	C₂²×C₄	C₂×D₃×C₉	1	2	yes	—
269	C₂²×C₄	C₂×D₃×C₉	1	1	yes	characteristic
270	C₄⋊C₄	—	3	4	no	—
271	C₂²⋊C₄	—	3	8	no	—
272	C₄²	C₂×D₃×C₉	1	2	yes	—
273	C₄²	C₂×D₃×C₉	1	1	yes	characteristic
274	C₄²	C₂×D₃×C₉	1	1	yes	characteristic
275	C₂²×C₃	—	2	4	no	—
276	C₂²×C₃	—	2	2	no	—
277	C₂²×C₃	—	2	2	no	—
278	C₂²×C₃	—	2	1	no	—
279	C₂²×C₃	—	2	2	no	—
280	C₂²×C₃	—	6	4	no	—
281	C₂²×C₃	—	6	8	no	—
282	C₂²×C₃	C₂×D₄×C₉	1	2	yes	—
283	C₂²×C₃	C₂⁴×C₉	1	1	yes	characteristic
284	C₂²×C₃	C₂×C₃×D₁₂	1	2	yes	—
285	C₂²×C₃	C₂³×C₃×D₃	1	1	yes	characteristic
286	C₂×D₃	—	2	4	no	—
287	C₂×D₃	—	2	8	no	—
288	C₃×C₄	—	2	4	no	—
289	C₃×C₄	—	2	2	no	—
290	C₃×C₄	—	2	2	no	—
291	C₃×C₄	—	2	2	no	—
292	C₃×C₄	—	2	2	no	—
293	C₃×C₄	—	2	4	no	—
294	C₃×C₄	—	6	4	no	—
295	C₃×C₄	C₂×D₄×C₉	1	2	yes	—
296	C₃×C₄	C₂×D₄×C₉	1	2	yes	—
297	C₃×C₄	C₉×#41	1	4	yes	complemented
298	C₃×C₄	C₂×C₃×D₁₂	1	2	yes	—
299	C₃×C₄	C₂×C₃×D₁₂	1	2	yes	—
300	C₃×C₄	C₃×#235	1	4	yes	—
301	Dic₃	—	2	4	no	—
302	C₃²	C₃×#532	1	1	yes	characteristic
303	C₉	—	2	1	no	—
304	C₉	#5477	1	1	yes	characteristic, direct product factor
305	C₂³	—	3	4	no	—
306	C₂³	C₂²×D₃×C₉	1	1	yes	characteristic
307	Q₈	—	6	4	no	—
308	D₄	—	6	8	no	—
309	D₄	—	6	4	no	—
310	D₄	—	6	8	no	—
311	C₂×C₄	—	2	4	no	—
312	C₂×C₄	—	3	4	no	—
313	C₂×C₄	—	6	8	no	—
314	C₂×C₄	C₉×D₁₂	1	4	yes	complemented
315	C₂×C₄	C₂²×D₃×C₉	1	2	yes	—
316	C₂×C₄	C₂²×D₃×C₉	1	1	yes	characteristic
317	C₂×C₄	C₂²×D₃×C₉	1	1	yes	characteristic
318	C₂×C₄	C₂²×D₃×C₉	1	2	yes	—
319	C₂×C₃	—	2	4	no	—
320	C₂×C₃	—	2	2	no	—
321	C₂×C₃	—	2	2	no	—
322	C₂×C₃	—	2	1	no	—
323	C₂×C₃	—	2	2	no	—
324	C₂×C₃	—	12	4	no	—
325	C₂×C₃	C₂²×D₄×C₉	1	1	yes	characteristic
326	C₂×C₃	C₂×C₉×#41	1	2	yes	—
327	C₂×C₃	C₂²×C₃×D₁₂	1	1	yes	characteristic
328	C₂×C₃	C₂×C₃×#235	1	2	yes	—
329	D₃	—	4	4	no	—
330	C₂²	—	2	2	no	—
331	C₂²	—	6	4	no	—
332	C₂²	—	6	8	no	—
333	C₂²	C₂×C₉×D₁₂	1	2	yes	—
334	C₂²	C₂³×D₃×C₉	1	1	yes	characteristic
335	C₄	—	2	2	no	—
336	C₄	—	6	4	no	—
337	C₄	C₂×C₉×D₁₂	1	2	yes	—
338	C₄	C₂×C₉×D₁₂	1	2	yes	—
339	C₄	C₉×#235	1	4	yes	complemented
340	C₃	—	2	1	no	—
341	C₃	C₉×#532	1	1	yes	characteristic, complemented
342	C₃	C₃×#5477	1	1	yes	characteristic
343	C₂	—	2	2	no	—
344	C₂	—	12	4	no	—
345	C₂	C₂²×C₉×D₁₂	1	1	yes	characteristic
346	C₂	C₂×C₉×#235	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₉	C₂²×D₃
commutator	C₂²×C₃	C₂⁴×C₉
Frattini	C₂²×C₃	C₂³×C₃×D₃
Fitting	C₂×C₃×C₄²×C₉	C₂
socle, cosocle	C₂²×C₃²	C₂⁴×C₃
prime radical	C₃×#5477	C₃
hypercenter	C₂×C₄²×C₉	D₃
hypocenter	C₃	C₉×#532
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄×C₉ ◁ C₂×C₄²×C₉

Complements

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

N	H ≅ G/N	type
1. C₂×C₉×#235	C₂	semidirect
2. C₂×C₃×C₄²×C₉	C₂	semidirect
3. C₉×#930	C₂	semidirect
4. C₉×#875	C₂	semidirect
5. C₉×#874	C₂	semidirect
6. C₄×C₉×D₁₂	C₂	semidirect
7. C₉×#869	C₂	semidirect
37. C₂×C₄²×C₉	D₃	semidirect
41. C₂×C₃×C₄×C₉	D₄	semidirect
53. #5477	C₉	direct (N × H)
93. C₃×C₄×C₉	#41	semidirect
96. C₂×#235	C₂×C₉	semidirect
103. C₂×C₃×C₄²	C₂×C₉	semidirect
105. #930	C₂×C₉	semidirect
106. #875	C₂×C₉	semidirect
107. #874	C₂×C₉	semidirect
108. C₄×D₁₂	C₂×C₉	semidirect
109. #869	C₂×C₉	semidirect
140. C₂×C₄×C₉	D₁₂	semidirect
207. C₄×C₉	#235	semidirect
214. C₂×C₄²	D₃×C₉	semidirect
215. C₃×C₉	#532	semidirect
235. C₂×C₃×C₄	D₄×C₉	semidirect
297. C₃×C₄	C₉×#41	semidirect
304. C₉	#5477	direct (N × H)
314. C₂×C₄	C₉×D₁₂	semidirect
339. C₄	C₉×#235	semidirect
341. C₃	C₉×#532	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₉×#235	2
C₂×C₃×C₄²×C₉	2
C₉×#930	2
C₉×#875	2
C₉×#874	2
C₄×C₉×D₁₂	2
C₉×#869	2
C₃×#5477	3
C₉×#532	3

Subgroups — C9×#5477 #13152294

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#5477 #13152294