Subgroups — C₉×#4949 #13142473

Order 1728.

690 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₉×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic
2	C₂×C₉×#217	C₂	1	2	yes	maximal
3	C₂×C₉×C₄⋊Dic₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₉×Dic₃⋊C₄	C₂	1	2	yes	maximal, complemented
5	C₉×C₃⋊#95	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#4949	C₃	1	1	yes	maximal, characteristic
7	C₉×#399	—	3	1	no	maximal
8	C₂⁴×C₃×C₉	C₂²	1	1	yes	characteristic
9	C₂²×C₃×C₄×C₉	C₂²	1	1	yes	characteristic
10	C₂²×C₃×C₄×C₉	C₂²	1	1	yes	characteristic
11	C₂²×C₉×Dic₃	C₂²	1	2	yes	—
12	C₂²×C₉×Dic₃	C₂²	1	2	yes	—
13	C₃×C₉×C₂²⋊C₄	—	2	2	no	—
14	C₉×#217	—	2	4	no	—
15	C₉×C₄⋊Dic₃	—	2	2	no	—
16	C₉×Dic₃⋊C₄	—	2	4	no	—
17	C₂×C₃²×C₂²⋊C₄	C₂×C₃	1	1	yes	characteristic
18	C₂×C₃×#217	C₂×C₃	1	2	yes	—
19	C₂×C₃×C₄⋊Dic₃	C₂×C₃	1	1	yes	characteristic
20	C₂×C₃×Dic₃⋊C₄	C₂×C₃	1	2	yes	—
21	C₃×C₃⋊#95	C₂×C₃	1	1	yes	characteristic
22	C₂×C₉×C₄⋊C₄	—	3	2	no	—
23	C₂×C₉×C₄⋊C₄	—	3	1	no	—
24	C₂×C₉×C₂²⋊C₄	—	2	1	no	—
25	C₂×C₉×C₂²⋊C₄	—	3	2	no	—
26	C₂×C₉×C₂²⋊C₄	D₃	1	1	yes	characteristic
27	C₉×#95	—	3	1	no	—
28	C₂³×C₃×C₉	—	2	1	no	—
29	C₂³×C₃×C₉	—	2	2	no	—
30	C₂³×C₃×C₉	—	2	1	no	—
31	C₂³×C₃×C₉	—	2	2	no	—
32	C₂³×C₃×C₉	Q₈	1	2	yes	—
33	C₂³×C₃×C₉	C₂³	1	1	yes	characteristic
34	C₂×C₃×C₄×C₉	—	2	2	no	—
35	C₂×C₃×C₄×C₉	—	2	1	no	—
36	C₂×C₃×C₄×C₉	—	2	2	no	—
37	C₂×C₃×C₄×C₉	D₄	1	2	yes	—
38	C₂×C₉×Dic₃	—	2	2	no	—
39	C₂×C₉×Dic₃	—	2	2	no	—
40	C₂×C₉×Dic₃	—	2	2	no	—
41	C₂×C₉×Dic₃	—	2	2	no	—
42	C₂×C₉×Dic₃	—	2	2	no	—
43	C₂×C₉×Dic₃	D₄	1	4	yes	—
44	C₃×#399	—	3	1	no	—
45	#4949	C₉	1	1	yes	characteristic, direct product factor
46	C₂⁴×C₃²	C₂²×C₃	1	1	yes	characteristic
47	C₂²×C₃²×C₄	C₂²×C₃	1	1	yes	characteristic
48	C₂²×C₃²×C₄	C₂²×C₃	1	1	yes	characteristic
49	C₂²×C₃×Dic₃	C₂²×C₃	1	2	yes	—
50	C₂²×C₃×Dic₃	C₂²×C₃	1	2	yes	—
51	C₂⁴×C₉	—	2	1	no	—
52	C₂⁴×C₉	C₂×D₃	1	1	yes	characteristic
53	C₃²×C₂²⋊C₄	—	2	2	no	—
54	C₃×#217	—	2	4	no	—
55	C₃×C₄⋊Dic₃	—	2	2	no	—
56	C₃×Dic₃⋊C₄	—	2	4	no	—
57	C₂²×C₄×C₉	—	2	1	no	—
58	C₂²×C₄×C₉	—	2	1	no	—
59	C₂²×C₄×C₉	—	3	2	no	—
60	C₂²×C₄×C₉	—	3	2	no	—
61	C₂²×C₄×C₉	C₂×D₃	1	1	yes	characteristic
62	C₂²×C₄×C₉	C₂×D₃	1	1	yes	characteristic
63	C₉×C₄⋊C₄	—	6	4	no	—
64	C₉×C₄⋊C₄	—	6	2	no	—
65	C₉×C₂²⋊C₄	—	2	4	no	—
66	C₉×C₂²⋊C₄	—	2	2	no	—
67	C₉×C₂²⋊C₄	—	6	4	no	—
68	C₂²×C₃×C₉	—	2	2	no	—
69	C₂²×C₃×C₉	—	2	4	no	—
70	C₂²×C₃×C₉	—	4	2	no	—
71	C₂²×C₃×C₉	—	4	1	no	—
72	C₂²×C₃×C₉	—	4	1	no	—
73	C₂²×C₃×C₉	C₂×D₄	1	2	yes	—
74	C₂²×C₃×C₉	C₂×D₄	1	1	yes	characteristic
75	C₂²×C₃×C₉	C₂×Q₈	1	1	yes	characteristic
76	C₂²×C₃×C₉	#41	1	1	yes	characteristic
77	C₂²×C₃×C₉	#41	1	2	yes	—
78	C₃×C₄×C₉	—	2	2	no	—
79	C₃×C₄×C₉	—	4	1	no	—
80	C₉×Dic₃	—	2	4	no	—
81	C₉×Dic₃	—	4	2	no	—
82	C₂×C₃×C₄⋊C₄	—	3	2	no	—
83	C₂×C₃×C₄⋊C₄	—	3	1	no	—
84	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
85	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
86	C₂×C₃×C₂²⋊C₄	C₂×C₉	1	1	yes	characteristic
87	C₂×C₃×C₂²⋊C₄	C₃×D₃	1	1	yes	characteristic
88	C₂×#217	C₂×C₉	1	2	yes	—
89	C₂×C₄⋊Dic₃	C₂×C₉	1	1	yes	characteristic, complemented
90	C₂×Dic₃⋊C₄	C₂×C₉	1	2	yes	complemented
91	C₃×#95	—	3	1	no	—
92	C₃⋊#95	C₂×C₉	1	1	yes	characteristic, complemented
93	C₂³×C₃²	—	2	1	no	—
94	C₂³×C₃²	—	2	1	no	—
95	C₂³×C₃²	—	2	2	no	—
96	C₂³×C₃²	—	2	2	no	—
97	C₂³×C₃²	C₃×Q₈	1	2	yes	—
98	C₂³×C₃²	C₂³×C₃	1	1	yes	characteristic
99	C₂×C₃²×C₄	—	2	1	no	—
100	C₂×C₃²×C₄	—	2	2	no	—
101	C₂×C₃²×C₄	—	2	2	no	—
102	C₂×C₃²×C₄	C₃×D₄	1	2	yes	—
103	C₂×C₃×Dic₃	—	2	2	no	—
104	C₂×C₃×Dic₃	—	2	2	no	—
105	C₂×C₃×Dic₃	—	2	2	no	—
106	C₂×C₃×Dic₃	—	2	2	no	—
107	C₂×C₃×Dic₃	—	2	2	no	—
108	C₂×C₃×Dic₃	C₃×D₄	1	4	yes	—
109	C₂³×C₉	—	2	2	no	—
110	C₂³×C₉	—	2	2	no	—
111	C₂³×C₉	—	2	1	no	—
112	C₂³×C₉	—	2	2	no	—
113	C₂³×C₉	—	2	2	no	—
114	C₂³×C₉	—	2	1	no	—
115	C₂³×C₉	—	2	2	no	—
116	C₂³×C₉	—	2	1	no	—
117	C₂³×C₉	—	4	2	no	—
118	C₂³×C₉	—	4	2	no	—
119	C₂³×C₉	Dic₆	1	2	yes	—
120	C₂³×C₉	C₂²×D₃	1	1	yes	characteristic
121	C₂×C₄×C₉	—	2	2	no	—
122	C₂×C₄×C₉	—	2	2	no	—
123	C₂×C₄×C₉	—	2	2	no	—
124	C₂×C₄×C₉	—	2	1	no	—
125	C₂×C₄×C₉	—	2	2	no	—
126	C₂×C₄×C₉	—	3	4	no	—
127	C₂×C₄×C₉	—	4	2	no	—
128	C₂×C₄×C₉	—	4	2	no	—
129	C₂×C₄×C₉	—	6	2	no	—
130	C₂×C₄×C₉	—	6	2	no	—
131	C₂×C₄×C₉	—	6	2	no	—
132	C₂×C₄×C₉	—	6	2	no	—
133	C₂×C₄×C₉	—	6	2	no	—
134	C₂×C₄×C₉	#67	1	2	yes	—
135	#399	—	3	1	no	Sylow
136	C₂×C₃×C₉	—	4	2	no	—
137	C₂×C₃×C₉	C₂²⋊Q₈	1	2	yes	—
138	C₂×C₃×C₉	C₂²⋊Q₈	1	1	yes	characteristic
139	C₂×C₃×C₉	#123	1	2	yes	—
140	C₂×C₃×C₉	#123	1	1	yes	characteristic
141	C₂×C₃×C₉	#127	1	1	yes	characteristic
142	C₂⁴×C₃	—	2	1	no	—
143	C₂⁴×C₃	C₂²×C₉	1	1	yes	characteristic
144	C₂⁴×C₃	C₂×C₃×D₃	1	1	yes	characteristic
145	C₂²×C₃×C₄	—	2	1	no	—
146	C₂²×C₃×C₄	—	2	1	no	—
147	C₂²×C₃×C₄	—	3	2	no	—
148	C₂²×C₃×C₄	—	3	2	no	—
149	C₂²×C₃×C₄	C₂²×C₉	1	1	yes	characteristic
150	C₂²×C₃×C₄	C₂²×C₉	1	1	yes	characteristic
151	C₂²×C₃×C₄	C₂×C₃×D₃	1	1	yes	characteristic
152	C₂²×C₃×C₄	C₂×C₃×D₃	1	1	yes	characteristic
153	C₂²×Dic₃	C₂²×C₉	1	2	yes	—
154	C₂²×Dic₃	C₂²×C₉	1	2	yes	—
155	C₃×C₄⋊C₄	—	6	4	no	—
156	C₃×C₄⋊C₄	—	6	2	no	—
157	C₃×C₂²⋊C₄	—	2	4	no	—
158	C₃×C₂²⋊C₄	—	2	2	no	—
159	C₃×C₂²⋊C₄	—	2	2	no	—
160	C₃×C₂²⋊C₄	—	6	4	no	—
161	#217	—	2	4	no	—
162	C₄⋊Dic₃	—	2	2	no	—
163	Dic₃⋊C₄	—	2	4	no	—
164	C₂²×C₃²	—	2	2	no	—
165	C₂²×C₃²	—	2	4	no	—
166	C₂²×C₃²	—	4	2	no	—
167	C₂²×C₃²	—	4	1	no	—
168	C₂²×C₃²	—	4	1	no	—
169	C₂²×C₃²	C₂×C₃×D₄	1	2	yes	—
170	C₂²×C₃²	C₂×C₃×D₄	1	1	yes	characteristic
171	C₂²×C₃²	C₂×C₃×Q₈	1	1	yes	characteristic
172	C₂²×C₃²	C₃×#41	1	1	yes	characteristic
173	C₂²×C₃²	C₃×#41	1	2	yes	—
174	C₃²×C₄	—	2	2	no	—
175	C₃²×C₄	—	4	1	no	—
176	C₃×Dic₃	—	2	4	no	—
177	C₃×Dic₃	—	4	2	no	—
178	C₂²×C₉	—	2	4	no	—
179	C₂²×C₉	—	2	4	no	—
180	C₂²×C₉	—	2	2	no	—
181	C₂²×C₉	—	2	1	no	—
182	C₂²×C₉	—	2	1	no	—
183	C₂²×C₉	—	2	2	no	—
184	C₂²×C₉	—	2	2	no	—
185	C₂²×C₉	—	2	1	no	—
186	C₂²×C₉	—	4	4	no	—
187	C₂²×C₉	—	4	4	no	—
188	C₂²×C₉	—	4	2	no	—
189	C₂²×C₉	—	4	2	no	—
190	C₂²×C₉	—	4	2	no	—
191	C₂²×C₉	—	4	1	no	—
192	C₂²×C₉	—	4	1	no	—
193	C₂²×C₉	C₂×Dic₆	1	1	yes	characteristic
194	C₂²×C₉	#235	1	1	yes	characteristic
195	C₂²×C₉	D₃×D₄	1	2	yes	—
196	C₂²×C₉	#237	1	2	yes	—
197	C₂²×C₉	C₂×#67	1	1	yes	characteristic
198	C₄×C₉	—	2	2	no	—
199	C₄×C₉	—	4	2	no	—
200	C₄×C₉	—	4	2	no	—
201	C₄×C₉	—	4	1	no	—
202	C₄×C₉	—	6	4	no	—
203	C₄×C₉	—	12	2	no	—
204	C₂×C₄⋊C₄	—	3	2	no	—
205	C₂×C₄⋊C₄	—	3	1	no	—
206	C₂×C₂²⋊C₄	—	3	2	no	—
207	C₂×C₂²⋊C₄	D₃×C₉	1	1	yes	characteristic
208	#95	—	3	1	no	—
209	C₃×C₉	#399	1	1	yes	characteristic, complemented, Sylow
210	C₂³×C₃	—	2	2	no	—
211	C₂³×C₃	—	2	2	no	—
212	C₂³×C₃	—	2	2	no	—
213	C₂³×C₃	—	2	1	no	—
214	C₂³×C₃	—	2	1	no	—
215	C₂³×C₃	—	2	2	no	—
216	C₂³×C₃	—	2	1	no	—
217	C₂³×C₃	—	2	2	no	—
218	C₂³×C₃	—	2	2	no	—
219	C₂³×C₃	—	2	1	no	—
220	C₂³×C₃	—	2	2	no	—
221	C₂³×C₃	—	2	1	no	—
222	C₂³×C₃	—	4	2	no	—
223	C₂³×C₃	—	4	2	no	—
224	C₂³×C₃	Q₈×C₉	1	2	yes	—
225	C₂³×C₃	C₂³×C₉	1	1	yes	characteristic
226	C₂³×C₃	C₃×Dic₆	1	2	yes	—
227	C₂³×C₃	C₂²×C₃×D₃	1	1	yes	characteristic
228	C₂×C₃×C₄	—	2	2	no	—
229	C₂×C₃×C₄	—	2	2	no	—
230	C₂×C₃×C₄	—	2	2	no	—
231	C₂×C₃×C₄	—	2	2	no	—
232	C₂×C₃×C₄	—	2	1	no	—
233	C₂×C₃×C₄	—	2	2	no	—
234	C₂×C₃×C₄	—	2	1	no	—
235	C₂×C₃×C₄	—	2	2	no	—
236	C₂×C₃×C₄	—	3	4	no	—
237	C₂×C₃×C₄	—	4	2	no	—
238	C₂×C₃×C₄	—	4	2	no	—
239	C₂×C₃×C₄	—	6	2	no	—
240	C₂×C₃×C₄	—	6	2	no	—
241	C₂×C₃×C₄	—	6	2	no	—
242	C₂×C₃×C₄	—	6	2	no	—
243	C₂×C₃×C₄	—	6	2	no	—
244	C₂×C₃×C₄	D₄×C₉	1	2	yes	—
245	C₂×C₃×C₄	C₃×#67	1	2	yes	—
246	C₂×Dic₃	—	2	2	no	—
247	C₂×Dic₃	—	2	2	no	—
248	C₂×Dic₃	—	2	2	no	—
249	C₂×Dic₃	—	2	2	no	—
250	C₂×Dic₃	—	2	2	no	—
251	C₂×Dic₃	D₄×C₉	1	4	yes	—
252	C₂×C₃²	—	4	2	no	—
253	C₂×C₃²	C₃×C₂²⋊Q₈	1	2	yes	—
254	C₂×C₃²	C₃×C₂²⋊Q₈	1	1	yes	characteristic
255	C₂×C₃²	C₃×#123	1	2	yes	—
256	C₂×C₃²	C₃×#123	1	1	yes	characteristic
257	C₂×C₃²	C₃×#127	1	1	yes	characteristic
258	C₂×C₉	—	2	2	no	—
259	C₂×C₉	—	2	2	no	—
260	C₂×C₉	—	2	1	no	—
261	C₂×C₉	—	2	1	no	—
262	C₂×C₉	—	2	1	no	—
263	C₂×C₉	—	4	4	no	—
264	C₂×C₉	—	4	2	no	—
265	C₂×C₉	#878	1	2	yes	—
266	C₂×C₉	#883	1	2	yes	—
267	C₂×C₉	#924	1	1	yes	characteristic
268	C₂×C₉	#935	1	1	yes	characteristic
269	C₂×C₉	#940	1	1	yes	characteristic
270	C₂⁴	C₂×D₃×C₉	1	1	yes	characteristic
271	C₂²×C₄	—	3	2	no	—
272	C₂²×C₄	—	3	2	no	—
273	C₂²×C₄	C₂×D₃×C₉	1	1	yes	characteristic
274	C₂²×C₄	C₂×D₃×C₉	1	1	yes	characteristic
275	C₄⋊C₄	—	6	4	no	—
276	C₄⋊C₄	—	6	2	no	—
277	C₂²⋊C₄	—	2	2	no	—
278	C₂²⋊C₄	—	6	4	no	—
279	C₂²×C₃	—	2	4	no	—
280	C₂²×C₃	—	2	4	no	—
281	C₂²×C₃	—	2	2	no	—
282	C₂²×C₃	—	2	4	no	—
283	C₂²×C₃	—	2	2	no	—
284	C₂²×C₃	—	2	1	no	—
285	C₂²×C₃	—	2	1	no	—
286	C₂²×C₃	—	2	2	no	—
287	C₂²×C₃	—	2	2	no	—
288	C₂²×C₃	—	2	1	no	—
289	C₂²×C₃	—	4	4	no	—
290	C₂²×C₃	—	4	2	no	—
291	C₂²×C₃	—	4	2	no	—
292	C₂²×C₃	—	4	4	no	—
293	C₂²×C₃	—	4	2	no	—
294	C₂²×C₃	—	4	1	no	—
295	C₂²×C₃	—	4	2	no	—
296	C₂²×C₃	—	4	1	no	—
297	C₂²×C₃	—	4	1	no	—
298	C₂²×C₃	—	4	1	no	—
299	C₂²×C₃	C₂×D₄×C₉	1	2	yes	—
300	C₂²×C₃	C₂×D₄×C₉	1	1	yes	characteristic
301	C₂²×C₃	C₂×Q₈×C₉	1	1	yes	characteristic
302	C₂²×C₃	C₉×#41	1	1	yes	characteristic
303	C₂²×C₃	C₉×#41	1	2	yes	—
304	C₂²×C₃	C₂×C₃×Dic₆	1	1	yes	characteristic
305	C₂²×C₃	C₃×#235	1	1	yes	characteristic
306	C₂²×C₃	C₃×D₃×D₄	1	2	yes	—
307	C₂²×C₃	C₃×#237	1	2	yes	—
308	C₂²×C₃	C₂×C₃×#67	1	1	yes	characteristic
309	C₃×C₄	—	2	2	no	—
310	C₃×C₄	—	2	2	no	—
311	C₃×C₄	—	4	2	no	—
312	C₃×C₄	—	4	2	no	—
313	C₃×C₄	—	4	1	no	—
314	C₃×C₄	—	4	1	no	—
315	C₃×C₄	—	6	4	no	—
316	C₃×C₄	—	12	2	no	—
317	Dic₃	—	2	4	no	—
318	Dic₃	—	4	2	no	—
319	C₃²	C₃×#399	1	1	yes	characteristic
320	C₉	—	2	1	no	—
321	C₉	#4949	1	1	yes	characteristic, direct product factor
322	C₂³	—	2	1	no	—
323	C₂³	—	2	2	no	—
324	C₂³	—	2	2	no	—
325	C₂³	—	2	1	no	—
326	C₂³	C₉×Dic₆	1	2	yes	—
327	C₂³	C₂²×D₃×C₉	1	1	yes	characteristic
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	2	2	no	—
330	C₂×C₄	—	2	1	no	—
331	C₂×C₄	—	3	4	no	—
332	C₂×C₄	—	6	2	no	—
333	C₂×C₄	—	6	2	no	—
334	C₂×C₄	—	6	2	no	—
335	C₂×C₄	—	6	2	no	—
336	C₂×C₄	—	6	2	no	—
337	C₂×C₄	C₉×#67	1	2	yes	—
338	C₂×C₃	—	2	1	no	—
339	C₂×C₃	—	2	1	no	—
340	C₂×C₃	—	2	1	no	—
341	C₂×C₃	—	2	2	no	—
342	C₂×C₃	—	2	2	no	—
343	C₂×C₃	—	4	4	no	—
344	C₂×C₃	—	4	2	no	—
345	C₂×C₃	—	4	2	no	—
346	C₂×C₃	C₉×C₂²⋊Q₈	1	1	yes	characteristic
347	C₂×C₃	C₉×C₂²⋊Q₈	1	2	yes	—
348	C₂×C₃	C₉×#123	1	1	yes	characteristic
349	C₂×C₃	C₉×#123	1	2	yes	—
350	C₂×C₃	C₉×#127	1	1	yes	characteristic
351	C₂×C₃	C₃×#878	1	2	yes	—
352	C₂×C₃	C₃×#883	1	2	yes	—
353	C₂×C₃	C₃×#924	1	1	yes	characteristic
354	C₂×C₃	C₃×#935	1	1	yes	characteristic
355	C₂×C₃	C₃×#940	1	1	yes	characteristic
356	C₂²	—	2	2	no	—
357	C₂²	—	2	4	no	—
358	C₂²	—	4	1	no	—
359	C₂²	—	4	1	no	—
360	C₂²	—	4	2	no	—
361	C₂²	C₂×C₉×Dic₆	1	1	yes	characteristic
362	C₂²	C₉×#235	1	1	yes	characteristic
363	C₂²	D₃×D₄×C₉	1	2	yes	—
364	C₂²	C₉×#237	1	2	yes	—
365	C₂²	C₂×C₉×#67	1	1	yes	characteristic
366	C₄	—	2	2	no	—
367	C₄	—	4	1	no	—
368	C₄	—	6	4	no	—
369	C₄	—	12	2	no	—
370	C₃	—	2	1	no	—
371	C₃	C₉×#399	1	1	yes	characteristic, complemented
372	C₃	C₃×#4949	1	1	yes	characteristic
373	C₂	—	4	2	no	—
374	C₂	C₉×#878	1	2	yes	—
375	C₂	C₉×#883	1	2	yes	—
376	C₂	C₉×#924	1	1	yes	characteristic
377	C₂	C₉×#935	1	1	yes	characteristic
378	C₂	C₉×#940	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₉	C₂²×D₃
commutator	C₂³×C₃	C₂³×C₉
Frattini	C₂³×C₃	C₂²×C₃×D₃
Fitting	C₂×C₃×C₉×C₂²⋊C₄	C₂
socle, cosocle	C₂³×C₃²	C₂³×C₃
prime radical	C₂⁴×C₃²	C₂²×C₃
hypercenter	C₂×C₉×C₂²⋊C₄	D₃
hypocenter	C₃	C₉×#399
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₉ ◁ C₂×C₉×C₂²⋊C₄

Complements

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

N	H ≅ G/N	type
3. C₂×C₉×C₄⋊Dic₃	C₂	semidirect
4. C₂×C₉×Dic₃⋊C₄	C₂	semidirect
5. C₉×C₃⋊#95	C₂	semidirect
45. #4949	C₉	direct (N × H)
89. C₂×C₄⋊Dic₃	C₂×C₉	semidirect
90. C₂×Dic₃⋊C₄	C₂×C₉	semidirect
92. C₃⋊#95	C₂×C₉	semidirect
209. C₃×C₉	#399	semidirect
321. C₉	#4949	direct (N × H)
371. C₃	C₉×#399	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×C₉×C₂²⋊C₄	2
C₂×C₉×#217	2
C₂×C₉×C₄⋊Dic₃	2
C₂×C₉×Dic₃⋊C₄	2
C₉×C₃⋊#95	2
C₃×#4949	3
C₉×#399	3

Subgroups — C9×#4949 #13142473

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#4949 #13142473