Subgroups — C₉×#4939 #13142404

Order 1728.

882 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	C₂²×C₉×D₁₂	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×C₄²×C₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₉×(C₂×D₃)⋊C₄	C₂	1	4	yes	maximal, complemented
4	C₂×C₉×C₄⋊Dic₃	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#4939	C₃	1	1	yes	maximal, characteristic
6	C₉×#390	—	3	1	no	maximal
7	C₂³×D₃×C₉	C₂²	1	2	yes	—
8	C₂²×C₃×C₄×C₉	C₂²	1	2	yes	—
9	C₂²×C₃×C₄×C₉	C₂²	1	1	yes	characteristic
10	C₂²×C₉×Dic₃	C₂²	1	2	yes	—
11	C₂×C₉×D₁₂	—	2	2	no	—
12	C₂×C₉×D₁₂	—	2	2	no	—
13	C₂×C₉×D₁₂	C₄	1	4	yes	complemented
14	C₃×C₄²×C₉	—	2	2	no	—
15	C₉×(C₂×D₃)⋊C₄	—	2	8	no	—
16	C₉×C₄⋊Dic₃	—	2	2	no	—
17	C₂²×C₃×D₁₂	C₂×C₃	1	1	yes	characteristic
18	C₂×C₃²×C₄²	C₂×C₃	1	1	yes	characteristic
19	C₂×C₃×(C₂×D₃)⋊C₄	C₂×C₃	1	4	yes	—
20	C₂×C₃×C₄⋊Dic₃	C₂×C₃	1	1	yes	characteristic
21	C₂²×D₄×C₉	—	3	1	no	—
22	C₂×C₉×C₄⋊C₄	—	3	1	no	—
23	C₂×C₉×C₂²⋊C₄	—	3	4	no	—
24	C₂×C₄²×C₉	—	2	1	no	—
25	C₂×C₄²×C₉	D₃	1	1	yes	characteristic, complemented
26	C₂³×C₃×C₉	C₂³	1	1	yes	characteristic
27	C₂²×D₃×C₉	—	2	2	no	—
28	C₂²×D₃×C₉	—	2	2	no	—
29	C₂²×D₃×C₉	—	2	4	no	—
30	C₂²×D₃×C₉	—	2	4	no	—
31	C₂²×D₃×C₉	C₂×C₄	1	4	yes	—
32	C₂×C₃×C₄×C₉	—	2	2	no	—
33	C₂×C₃×C₄×C₉	—	2	2	no	—
34	C₂×C₃×C₄×C₉	C₂×C₄	1	2	yes	—
35	C₂×C₃×C₄×C₉	D₄	1	2	yes	—
36	C₂×C₃×C₄×C₉	D₄	1	2	yes	—
37	C₂×C₃×C₄×C₉	D₄	1	4	yes	complemented
38	C₂×C₉×Dic₃	—	2	2	no	—
39	C₂×C₉×Dic₃	—	2	4	no	—
40	C₉×D₁₂	—	2	8	no	—
41	C₃×#390	—	3	1	no	—
42	#4939	C₉	1	1	yes	characteristic, direct product factor
43	C₂³×C₃×D₃	C₂²×C₃	1	2	yes	—
44	C₂²×C₃²×C₄	C₂²×C₃	1	2	yes	—
45	C₂²×C₃²×C₄	C₂²×C₃	1	1	yes	characteristic
46	C₂²×C₃×Dic₃	C₂²×C₃	1	2	yes	—
47	C₂×C₃×D₁₂	—	2	2	no	—
48	C₂×C₃×D₁₂	—	2	2	no	—
49	C₂×C₃×D₁₂	C₃×C₄	1	4	yes	—
50	C₂⁴×C₉	—	3	2	no	—
51	C₃²×C₄²	—	2	2	no	—
52	C₃×(C₂×D₃)⋊C₄	—	2	8	no	—
53	C₃×C₄⋊Dic₃	—	2	2	no	—
54	C₂×D₄×C₉	—	3	4	no	—
55	C₂×D₄×C₉	—	6	2	no	—
56	C₂×D₄×C₉	—	6	2	no	—
57	C₂²×C₄×C₉	—	2	2	no	—
58	C₂²×C₄×C₉	—	2	1	no	—
59	C₂²×C₄×C₉	—	3	2	no	—
60	C₂²×C₄×C₉	C₂×D₃	1	2	yes	—
61	C₂²×C₄×C₉	C₂×D₃	1	1	yes	characteristic
62	C₉×C₄⋊C₄	—	6	2	no	—
63	C₉×C₂²⋊C₄	—	6	8	no	—
64	C₄²×C₉	—	2	4	no	—
65	C₄²×C₉	—	2	2	no	—
66	C₂²×C₃×C₉	C₂²×C₄	1	1	yes	characteristic
67	C₂²×C₃×C₉	C₂×D₄	1	1	yes	characteristic
68	C₂²×C₃×C₉	C₂×D₄	1	1	yes	characteristic
69	C₂²×C₃×C₉	C₂×D₄	1	2	yes	—
70	C₂²×C₃×C₉	#41	1	2	yes	—
71	C₂×D₃×C₉	—	2	4	no	—
72	C₂×D₃×C₉	—	2	8	no	—
73	C₂×D₃×C₉	—	4	4	no	—
74	C₂×D₃×C₉	—	4	2	no	—
75	C₂×D₃×C₉	—	4	2	no	—
76	C₃×C₄×C₉	—	2	4	no	—
77	C₃×C₄×C₉	C₂²⋊C₄	1	4	yes	complemented
78	C₉×Dic₃	—	4	2	no	—
79	C₂²×C₃×D₄	—	3	1	no	—
80	C₂²×D₁₂	C₂×C₉	1	1	yes	characteristic
81	C₂×C₃×C₄⋊C₄	—	3	1	no	—
82	C₂×C₃×C₂²⋊C₄	—	3	4	no	—
83	C₂×C₃×C₄²	—	2	1	no	—
84	C₂×C₃×C₄²	C₂×C₉	1	1	yes	characteristic, complemented
85	C₂×C₃×C₄²	C₃×D₃	1	1	yes	characteristic
86	C₂×(C₂×D₃)⋊C₄	C₂×C₉	1	4	yes	complemented
87	C₂×C₄⋊Dic₃	C₂×C₉	1	1	yes	characteristic, complemented
88	C₂³×C₃²	C₂³×C₃	1	1	yes	characteristic
89	C₂²×C₃×D₃	—	2	4	no	—
90	C₂²×C₃×D₃	—	2	2	no	—
91	C₂²×C₃×D₃	—	2	2	no	—
92	C₂²×C₃×D₃	—	2	4	no	—
93	C₂²×C₃×D₃	C₂×C₃×C₄	1	4	yes	—
94	C₂×C₃²×C₄	—	2	2	no	—
95	C₂×C₃²×C₄	—	2	2	no	—
96	C₂×C₃²×C₄	C₂×C₃×C₄	1	2	yes	—
97	C₂×C₃²×C₄	C₃×D₄	1	2	yes	—
98	C₂×C₃²×C₄	C₃×D₄	1	2	yes	—
99	C₂×C₃²×C₄	C₃×D₄	1	4	yes	—
100	C₂×C₃×Dic₃	—	2	2	no	—
101	C₂×C₃×Dic₃	—	2	4	no	—
102	C₃×D₁₂	—	2	8	no	—
103	C₂³×C₉	—	2	1	no	—
104	C₂³×C₉	—	3	4	no	—
105	C₂³×C₉	—	6	4	no	—
106	C₂³×C₉	—	6	2	no	—
107	C₂³×C₉	—	6	4	no	—
108	C₂³×C₉	—	6	2	no	—
109	C₂³×C₉	C₂²×D₃	1	1	yes	characteristic
110	D₄×C₉	—	6	8	no	—
111	C₂×C₄×C₉	—	2	4	no	—
112	C₂×C₄×C₉	—	2	4	no	—
113	C₂×C₄×C₉	—	2	2	no	—
114	C₂×C₄×C₉	—	2	2	no	—
115	C₂×C₄×C₉	—	2	2	no	—
116	C₂×C₄×C₉	—	2	2	no	—
117	C₂×C₄×C₉	—	2	4	no	—
118	C₂×C₄×C₉	—	2	2	no	—
119	C₂×C₄×C₉	—	6	4	no	—
120	C₂×C₄×C₉	—	6	2	no	—
121	C₂×C₄×C₉	C₄×D₃	1	2	yes	—
122	C₂×C₄×C₉	D₁₂	1	2	yes	—
123	C₂×C₄×C₉	D₁₂	1	4	yes	complemented
124	C₂×C₄×C₉	#67	1	2	yes	—
125	#390	—	3	1	no	Sylow
126	C₂×C₃×C₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
127	C₂×C₃×C₉	C₄×D₄	1	2	yes	—
128	C₂×C₃×C₉	#121	1	2	yes	—
129	C₂×C₃×C₉	#124	1	1	yes	characteristic
130	C₂×C₃×C₉	#127	1	1	yes	characteristic
131	D₃×C₉	—	4	4	no	—
132	C₂⁴×C₃	—	3	2	no	—
133	C₂³×D₃	C₂²×C₉	1	2	yes	—
134	C₂×C₃×D₄	—	3	4	no	—
135	C₂×C₃×D₄	—	6	2	no	—
136	C₂×C₃×D₄	—	6	2	no	—
137	C₂²×C₃×C₄	—	2	2	no	—
138	C₂²×C₃×C₄	—	2	1	no	—
139	C₂²×C₃×C₄	—	3	2	no	—
140	C₂²×C₃×C₄	C₂²×C₉	1	2	yes	—
141	C₂²×C₃×C₄	C₂²×C₉	1	1	yes	characteristic
142	C₂²×C₃×C₄	C₂×C₃×D₃	1	2	yes	—
143	C₂²×C₃×C₄	C₂×C₃×D₃	1	1	yes	characteristic
144	C₂²×Dic₃	C₂²×C₉	1	2	yes	—
145	C₂×D₁₂	—	2	2	no	—
146	C₂×D₁₂	—	2	2	no	—
147	C₂×D₁₂	C₄×C₉	1	4	yes	complemented
148	C₃×C₄⋊C₄	—	6	2	no	—
149	C₃×C₂²⋊C₄	—	6	8	no	—
150	C₃×C₄²	—	2	4	no	—
151	C₃×C₄²	—	2	2	no	—
152	C₃×C₄²	—	2	2	no	—
153	(C₂×D₃)⋊C₄	—	2	8	no	—
154	C₄⋊Dic₃	—	2	2	no	—
155	C₂²×C₃²	C₂²×C₃×C₄	1	1	yes	characteristic
156	C₂²×C₃²	C₂×C₃×D₄	1	1	yes	characteristic
157	C₂²×C₃²	C₂×C₃×D₄	1	2	yes	—
158	C₂²×C₃²	C₂×C₃×D₄	1	1	yes	characteristic
159	C₂²×C₃²	C₃×#41	1	2	yes	—
160	C₂×C₃×D₃	—	2	4	no	—
161	C₂×C₃×D₃	—	2	8	no	—
162	C₂×C₃×D₃	—	4	4	no	—
163	C₂×C₃×D₃	—	4	2	no	—
164	C₂×C₃×D₃	—	4	2	no	—
165	C₃²×C₄	—	2	4	no	—
166	C₃²×C₄	C₃×C₂²⋊C₄	1	4	yes	—
167	C₃×Dic₃	—	4	2	no	—
168	C₂²×C₉	—	2	1	no	—
169	C₂²×C₉	—	2	1	no	—
170	C₂²×C₉	—	2	2	no	—
171	C₂²×C₉	—	2	2	no	—
172	C₂²×C₉	—	2	1	no	—
173	C₂²×C₉	—	6	8	no	—
174	C₂²×C₉	—	6	4	no	—
175	C₂²×C₉	—	12	2	no	—
176	C₂²×C₉	—	12	2	no	—
177	C₂²×C₉	—	12	4	no	—
178	C₂²×C₉	C₂×C₄×D₃	1	1	yes	characteristic
179	C₂²×C₉	C₂×D₁₂	1	2	yes	—
180	C₂²×C₉	C₂×D₁₂	1	1	yes	characteristic
181	C₂²×C₉	#235	1	2	yes	—
182	C₂²×C₉	C₂×#67	1	1	yes	characteristic
183	C₄×C₉	—	2	8	no	—
184	C₄×C₉	—	2	4	no	—
185	C₄×C₉	—	2	4	no	—
186	C₄×C₉	—	12	2	no	—
187	C₄×C₉	(C₂×D₃)⋊C₄	1	4	yes	complemented
188	C₂²×D₄	—	3	1	no	—
189	C₂×C₄⋊C₄	—	3	1	no	—
190	C₂×C₂²⋊C₄	—	3	4	no	—
191	C₂×C₄²	D₃×C₉	1	1	yes	characteristic, complemented
192	C₃×C₉	#390	1	1	yes	characteristic, complemented, Sylow
193	C₂³×C₃	—	2	1	no	—
194	C₂³×C₃	—	3	4	no	—
195	C₂³×C₃	—	6	4	no	—
196	C₂³×C₃	—	6	2	no	—
197	C₂³×C₃	—	6	4	no	—
198	C₂³×C₃	—	6	2	no	—
199	C₂³×C₃	C₂³×C₉	1	1	yes	characteristic
200	C₂³×C₃	C₂²×C₃×D₃	1	1	yes	characteristic
201	C₂²×D₃	—	2	4	no	—
202	C₂²×D₃	—	2	2	no	—
203	C₂²×D₃	—	2	2	no	—
204	C₂²×D₃	—	2	4	no	—
205	C₂²×D₃	C₂×C₄×C₉	1	4	yes	—
206	C₃×D₄	—	6	8	no	—
207	C₂×C₃×C₄	—	2	4	no	—
208	C₂×C₃×C₄	—	2	4	no	—
209	C₂×C₃×C₄	—	2	2	no	—
210	C₂×C₃×C₄	—	2	2	no	—
211	C₂×C₃×C₄	—	2	2	no	—
212	C₂×C₃×C₄	—	2	2	no	—
213	C₂×C₃×C₄	—	2	2	no	—
214	C₂×C₃×C₄	—	2	2	no	—
215	C₂×C₃×C₄	—	2	4	no	—
216	C₂×C₃×C₄	—	2	2	no	—
217	C₂×C₃×C₄	—	6	4	no	—
218	C₂×C₃×C₄	—	6	2	no	—
219	C₂×C₃×C₄	C₂×C₄×C₉	1	2	yes	—
220	C₂×C₃×C₄	D₄×C₉	1	2	yes	—
221	C₂×C₃×C₄	D₄×C₉	1	2	yes	—
222	C₂×C₃×C₄	D₄×C₉	1	4	yes	complemented
223	C₂×C₃×C₄	C₃×C₄×D₃	1	2	yes	—
224	C₂×C₃×C₄	C₃×D₁₂	1	2	yes	—
225	C₂×C₃×C₄	C₃×D₁₂	1	4	yes	—
226	C₂×C₃×C₄	C₃×#67	1	2	yes	—
227	C₂×Dic₃	—	2	2	no	—
228	C₂×Dic₃	—	2	4	no	—
229	D₁₂	—	2	8	no	—
230	C₂×C₃²	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
231	C₂×C₃²	C₃×C₄×D₄	1	2	yes	—
232	C₂×C₃²	C₃×#121	1	2	yes	—
233	C₂×C₃²	C₃×#124	1	1	yes	characteristic
234	C₂×C₃²	C₃×#127	1	1	yes	characteristic
235	C₃×D₃	—	4	4	no	—
236	C₂×C₉	—	2	1	no	—
237	C₂×C₉	—	2	2	no	—
238	C₂×C₉	—	2	2	no	—
239	C₂×C₉	—	2	1	no	—
240	C₂×C₉	—	2	1	no	—
241	C₂×C₉	—	12	4	no	—
242	C₂×C₉	C₄×D₁₂	1	2	yes	—
243	C₂×C₉	#874	1	1	yes	characteristic
244	C₂×C₉	#875	1	1	yes	characteristic
245	C₂×C₉	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
246	C₂×C₉	#930	1	2	yes	—
247	C₂⁴	—	3	2	no	—
248	C₂×D₄	—	3	4	no	—
249	C₂×D₄	—	6	2	no	—
250	C₂×D₄	—	6	2	no	—
251	C₂²×C₄	—	3	2	no	—
252	C₂²×C₄	C₂×D₃×C₉	1	2	yes	—
253	C₂²×C₄	C₂×D₃×C₉	1	1	yes	characteristic
254	C₄⋊C₄	—	6	2	no	—
255	C₂²⋊C₄	—	6	8	no	—
256	C₄²	—	2	2	no	—
257	C₂²×C₃	—	2	1	no	—
258	C₂²×C₃	—	2	1	no	—
259	C₂²×C₃	—	2	2	no	—
260	C₂²×C₃	—	2	2	no	—
261	C₂²×C₃	—	2	1	no	—
262	C₂²×C₃	—	6	4	no	—
263	C₂²×C₃	—	6	8	no	—
264	C₂²×C₃	—	12	4	no	—
265	C₂²×C₃	—	12	2	no	—
266	C₂²×C₃	—	12	2	no	—
267	C₂²×C₃	C₂²×C₄×C₉	1	1	yes	characteristic
268	C₂²×C₃	C₂×D₄×C₉	1	1	yes	characteristic
269	C₂²×C₃	C₂×D₄×C₉	1	2	yes	—
270	C₂²×C₃	C₂×D₄×C₉	1	1	yes	characteristic
271	C₂²×C₃	C₉×#41	1	2	yes	—
272	C₂²×C₃	C₂×C₃×C₄×D₃	1	1	yes	characteristic
273	C₂²×C₃	C₂×C₃×D₁₂	1	1	yes	characteristic
274	C₂²×C₃	C₂×C₃×D₁₂	1	2	yes	—
275	C₂²×C₃	C₃×#235	1	2	yes	—
276	C₂²×C₃	C₂×C₃×#67	1	1	yes	characteristic
277	C₂×D₃	—	2	4	no	—
278	C₂×D₃	—	2	8	no	—
279	C₂×D₃	—	4	4	no	—
280	C₂×D₃	—	4	2	no	—
281	C₂×D₃	—	4	2	no	—
282	C₃×C₄	—	2	8	no	—
283	C₃×C₄	—	2	4	no	—
284	C₃×C₄	—	2	4	no	—
285	C₃×C₄	—	2	4	no	—
286	C₃×C₄	—	12	2	no	—
287	C₃×C₄	C₉×C₂²⋊C₄	1	4	yes	complemented
288	C₃×C₄	C₃×(C₂×D₃)⋊C₄	1	4	yes	—
289	Dic₃	—	4	2	no	—
290	C₃²	C₃×#390	1	1	yes	characteristic
291	C₉	—	2	1	no	—
292	C₉	#4939	1	1	yes	characteristic, direct product factor
293	C₂³	—	3	4	no	—
294	C₂³	—	6	4	no	—
295	C₂³	—	6	2	no	—
296	C₂³	—	6	4	no	—
297	C₂³	—	6	2	no	—
298	C₂³	C₂²×D₃×C₉	1	1	yes	characteristic
299	D₄	—	6	8	no	—
300	C₂×C₄	—	2	2	no	—
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	6	4	no	—
303	C₂×C₄	—	6	2	no	—
304	C₂×C₄	C₄×D₃×C₉	1	2	yes	—
305	C₂×C₄	C₉×D₁₂	1	2	yes	—
306	C₂×C₄	C₉×D₁₂	1	4	yes	complemented
307	C₂×C₄	C₉×#67	1	2	yes	—
308	C₂×C₃	—	2	1	no	—
309	C₂×C₃	—	2	2	no	—
310	C₂×C₃	—	2	2	no	—
311	C₂×C₃	—	2	1	no	—
312	C₂×C₃	—	2	1	no	—
313	C₂×C₃	—	12	4	no	—
314	C₂×C₃	C₂×C₉×C₂²⋊C₄	1	1	yes	characteristic
315	C₂×C₃	C₄×D₄×C₉	1	2	yes	—
316	C₂×C₃	C₉×#121	1	2	yes	—
317	C₂×C₃	C₉×#124	1	1	yes	characteristic
318	C₂×C₃	C₉×#127	1	1	yes	characteristic
319	C₂×C₃	C₃×C₄×D₁₂	1	2	yes	—
320	C₂×C₃	C₃×#874	1	1	yes	characteristic
321	C₂×C₃	C₃×#875	1	1	yes	characteristic
322	C₂×C₃	C₂×C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
323	C₂×C₃	C₃×#930	1	2	yes	—
324	D₃	—	4	4	no	—
325	C₂²	—	6	4	no	—
326	C₂²	—	6	8	no	—
327	C₂²	—	12	4	no	—
328	C₂²	—	12	2	no	—
329	C₂²	—	12	2	no	—
330	C₂²	C₂×C₄×D₃×C₉	1	1	yes	characteristic
331	C₂²	C₂×C₉×D₁₂	1	1	yes	characteristic
332	C₂²	C₂×C₉×D₁₂	1	2	yes	—
333	C₂²	C₉×#235	1	2	yes	—
334	C₂²	C₂×C₉×#67	1	1	yes	characteristic
335	C₄	—	2	4	no	—
336	C₄	—	12	2	no	—
337	C₄	C₉×(C₂×D₃)⋊C₄	1	4	yes	complemented
338	C₃	—	2	1	no	—
339	C₃	C₉×#390	1	1	yes	characteristic, complemented
340	C₃	C₃×#4939	1	1	yes	characteristic
341	C₂	—	12	4	no	—
342	C₂	C₄×C₉×D₁₂	1	2	yes	—
343	C₂	C₉×#874	1	1	yes	characteristic
344	C₂	C₉×#875	1	1	yes	characteristic
345	C₂	C₂×C₉×(C₂×D₃)⋊C₄	1	1	yes	characteristic
346	C₂	C₉×#930	1	2	yes	—

	subgroup	G/H
center	C₂³×C₉	C₂²×D₃
commutator	C₂²×C₃	C₂²×C₄×C₉
Frattini	C₂³×C₃	C₂²×C₃×D₃
Fitting	C₂×C₃×C₄²×C₉	C₂
socle, cosocle	C₂³×C₃²	C₂³×C₃
prime radical	C₂²×C₃×D₁₂	C₂×C₃
hypercenter	C₂×C₄²×C₉	D₃
hypocenter	C₃	C₉×#390
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₉ ◁ C₂×C₄²×C₉

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×C₄²×C₉	C₂	semidirect
3. C₂×C₉×(C₂×D₃)⋊C₄	C₂	semidirect
4. C₂×C₉×C₄⋊Dic₃	C₂	semidirect
13. C₂×C₉×D₁₂	C₄	semidirect
25. C₂×C₄²×C₉	D₃	semidirect
37. C₂×C₃×C₄×C₉	D₄	semidirect
42. #4939	C₉	direct (N × H)
77. C₃×C₄×C₉	C₂²⋊C₄	semidirect
84. C₂×C₃×C₄²	C₂×C₉	semidirect
86. C₂×(C₂×D₃)⋊C₄	C₂×C₉	semidirect
87. C₂×C₄⋊Dic₃	C₂×C₉	semidirect
123. C₂×C₄×C₉	D₁₂	semidirect
147. C₂×D₁₂	C₄×C₉	semidirect
187. C₄×C₉	(C₂×D₃)⋊C₄	semidirect
191. C₂×C₄²	D₃×C₉	semidirect
192. C₃×C₉	#390	semidirect
222. C₂×C₃×C₄	D₄×C₉	semidirect
287. C₃×C₄	C₉×C₂²⋊C₄	semidirect
292. C₉	#4939	direct (N × H)
306. C₂×C₄	C₉×D₁₂	semidirect
337. C₄	C₉×(C₂×D₃)⋊C₄	semidirect
339. C₃	C₉×#390	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₉×D₁₂	2
C₂×C₃×C₄²×C₉	2
C₂×C₉×(C₂×D₃)⋊C₄	2
C₂×C₉×C₄⋊Dic₃	2
C₃×#4939	3
C₉×#390	3

Subgroups — C9×#4939 #13142404

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#4939 #13142404