Subgroups — C₉×#4966 #13142582

Order 1728.

578 conjugacy classes of subgroups.

The subgroup lattice has 362 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	1	yes	maximal, characteristic
2	C₂×C₃×C₉×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₉×#208	C₂	1	1	yes	maximal, characteristic, complemented
4	C₉×#810	C₂	1	2	yes	maximal, complemented
5	C₉×#809	C₂	1	2	yes	maximal, complemented
6	C₃×#4966	C₃	1	1	yes	maximal, characteristic
7	C₉×#417	—	3	1	no	maximal
8	C₂²×C₃×C₄×C₉	—	2	1	no	—
9	C₂²×C₃×C₄×C₉	C₂²	1	1	yes	characteristic
10	C₂×C₉×#67	—	2	1	no	—
11	C₉×#235	—	2	2	no	—
12	C₉×#235	C₄	1	4	yes	complemented
13	C₂×C₉×D₁₂	C₂²	1	1	yes	characteristic
14	C₂×C₄×D₃×C₉	—	2	1	no	—
15	C₂×C₉×Dic₆	C₂²	1	1	yes	characteristic
16	C₃×C₉×C₄⋊C₄	—	2	1	no	—
17	C₃×C₉×C₄⋊C₄	C₂²	1	2	yes	—
18	C₉×#208	—	2	2	no	—
19	C₂×C₉×C₃⋊C₈	C₂²	1	2	yes	—
20	C₂×C₃×#235	C₂×C₃	1	1	yes	characteristic
21	C₂×C₃²×C₄⋊C₄	C₂×C₃	1	1	yes	characteristic
22	C₂×C₃×#208	C₂×C₃	1	1	yes	characteristic
23	C₂×C₉×#41	—	3	1	no	—
24	C₃×#810	C₂×C₃	1	2	yes	—
25	C₃×#809	C₂×C₃	1	2	yes	—
26	C₂×C₉×M₁₆	—	3	1	no	—
27	C₂×C₉×C₄⋊C₄	—	2	1	no	—
28	C₂×C₉×C₄⋊C₄	D₃	1	1	yes	characteristic, complemented
29	C₉×#103	—	3	2	no	—
30	C₉×#102	—	3	2	no	—
31	C₂³×C₃×C₉	D₄	1	1	yes	characteristic
32	C₂²×D₃×C₉	—	2	1	no	—
33	C₂×C₃×C₄×C₉	—	2	2	no	—
34	C₂×C₃×C₄×C₉	—	4	2	no	—
35	C₂×C₃×C₄×C₉	C₂×C₄	1	2	yes	—
36	C₂×C₃×C₄×C₉	D₄	1	1	yes	characteristic
37	C₂×C₃×C₄×C₉	D₄	1	2	yes	—
38	C₂×C₃×C₄×C₉	C₂³	1	1	yes	characteristic
39	C₉×#67	—	2	4	no	—
40	C₂×C₉×Dic₃	—	2	1	no	—
41	C₉×D₁₂	—	2	1	no	—
42	C₉×D₁₂	C₂×C₄	1	2	yes	complemented
43	C₄×D₃×C₉	—	2	4	no	—
44	C₉×Dic₆	—	2	1	no	—
45	C₉×Dic₆	C₂×C₄	1	2	yes	complemented
46	C₉×C₃⋊C₈	—	2	2	no	—
47	C₃×#417	—	3	1	no	—
48	#4966	C₉	1	1	yes	characteristic, direct product factor
49	C₂²×C₃²×C₄	—	2	1	no	—
50	C₂²×C₃²×C₄	C₂²×C₃	1	1	yes	characteristic
51	C₂×C₃×#67	—	2	1	no	—
52	C₃×#235	—	2	2	no	—
53	C₃×#235	C₃×C₄	1	4	yes	—
54	C₂×C₃×D₁₂	C₂²×C₃	1	1	yes	characteristic
55	C₂×C₃×C₄×D₃	—	2	1	no	—
56	C₂×C₃×Dic₆	C₂²×C₃	1	1	yes	characteristic
57	C₃²×C₄⋊C₄	—	2	1	no	—
58	C₃²×C₄⋊C₄	C₂²×C₃	1	2	yes	—
59	C₃×#208	—	2	2	no	—
60	C₂×C₃×C₃⋊C₈	C₂²×C₃	1	2	yes	—
61	C₉×#41	—	3	4	no	—
62	C₉×#41	—	6	2	no	—
63	C₂×Q₈×C₉	—	3	1	no	—
64	C₂×D₄×C₉	—	3	1	no	—
65	C₂×D₄×C₉	—	6	1	no	—
66	C₂²×C₄×C₉	—	2	1	no	—
67	C₂²×C₄×C₉	—	2	2	no	—
68	C₂²×C₄×C₉	—	2	1	no	—
69	C₂²×C₄×C₉	—	6	1	no	—
70	C₂²×C₄×C₉	C₂×D₃	1	1	yes	characteristic
71	C₉×M₁₆	—	6	2	no	—
72	C₂×C₈×C₉	—	3	2	no	—
73	C₉×C₄⋊C₄	—	2	2	no	—
74	C₉×C₄⋊C₄	—	2	2	no	—
75	C₉×C₄⋊C₄	—	2	1	no	—
76	C₉×C₄⋊C₄	C₂×D₃	1	2	yes	—
77	C₂²×C₃×C₉	—	2	1	no	—
78	C₂²×C₃×C₉	—	2	1	no	—
79	C₂²×C₃×C₉	C₂²⋊C₄	1	2	yes	—
80	C₂²×C₃×C₉	C₂×D₄	1	1	yes	characteristic
81	C₂×D₃×C₉	—	2	2	no	—
82	C₂×D₃×C₉	—	4	1	no	—
83	C₂×D₃×C₉	—	4	1	no	—
84	C₃×C₄×C₉	—	4	2	no	—
85	C₃×C₄×C₉	C₂²⋊C₄	1	2	yes	—
86	C₃×C₄×C₉	C₂²×C₄	1	1	yes	characteristic
87	C₃×C₄×C₉	C₂×D₄	1	1	yes	characteristic
88	C₉×Dic₃	—	2	2	no	—
89	C₂×C₃×#41	—	3	1	no	—
90	C₂×#235	C₂×C₉	1	1	yes	characteristic
91	C₂×C₃×M₁₆	—	3	1	no	—
92	C₂×C₃×C₄⋊C₄	—	2	1	no	—
93	C₂×C₃×C₄⋊C₄	C₂×C₉	1	1	yes	characteristic, complemented
94	C₂×C₃×C₄⋊C₄	C₃×D₃	1	1	yes	characteristic
95	C₂×#208	C₂×C₉	1	1	yes	characteristic, complemented
96	C₃×#103	—	3	2	no	—
97	C₃×#102	—	3	2	no	—
98	#810	C₂×C₉	1	2	yes	complemented
99	#809	C₂×C₉	1	2	yes	complemented
100	C₂³×C₃²	C₃×D₄	1	1	yes	characteristic
101	C₂²×C₃×D₃	—	2	1	no	—
102	C₂×C₃²×C₄	—	2	2	no	—
103	C₂×C₃²×C₄	—	4	2	no	—
104	C₂×C₃²×C₄	C₂×C₃×C₄	1	2	yes	—
105	C₂×C₃²×C₄	C₃×D₄	1	2	yes	—
106	C₂×C₃²×C₄	C₃×D₄	1	1	yes	characteristic
107	C₂×C₃²×C₄	C₂³×C₃	1	1	yes	characteristic
108	C₃×#67	—	2	4	no	—
109	C₂×C₃×Dic₃	—	2	1	no	—
110	C₃×D₁₂	—	2	1	no	—
111	C₃×D₁₂	C₂×C₃×C₄	1	2	yes	—
112	C₃×C₄×D₃	—	2	4	no	—
113	C₃×Dic₆	—	2	1	no	—
114	C₃×Dic₆	C₂×C₃×C₄	1	2	yes	—
115	C₂³×C₉	—	2	1	no	—
116	C₂³×C₉	—	6	1	no	—
117	C₂³×C₉	#67	1	1	yes	characteristic
118	C₃×C₃⋊C₈	—	2	2	no	—
119	Q₈×C₉	—	3	2	no	—
120	Q₈×C₉	—	6	1	no	—
121	D₄×C₉	—	3	2	no	—
122	D₄×C₉	—	6	4	no	—
123	D₄×C₉	—	6	1	no	—
124	C₂×C₄×C₉	—	2	4	no	—
125	C₂×C₄×C₉	—	2	2	no	—
126	C₂×C₄×C₉	—	2	2	no	—
127	C₂×C₄×C₉	—	2	2	no	—
128	C₂×C₄×C₉	—	2	1	no	—
129	C₂×C₄×C₉	—	2	1	no	—
130	C₂×C₄×C₉	—	4	4	no	—
131	C₂×C₄×C₉	—	4	2	no	—
132	C₂×C₄×C₉	—	6	1	no	—
133	C₂×C₄×C₉	—	6	4	no	—
134	C₂×C₄×C₉	C₄×D₃	1	2	yes	—
135	C₂×C₄×C₉	D₁₂	1	2	yes	—
136	C₂×C₄×C₉	#67	1	1	yes	characteristic
137	C₂×C₄×C₉	C₂²×D₃	1	1	yes	characteristic
138	C₈×C₉	—	6	2	no	—
139	#417	—	3	1	no	Sylow
140	C₂×C₃×C₉	—	2	2	no	—
141	C₂×C₃×C₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
142	C₂×C₃×C₉	AGL(1,ℤ/8)	1	1	yes	characteristic
143	C₂×C₃×C₉	#137	1	1	yes	characteristic
144	D₃×C₉	—	4	2	no	—
145	C₃×#41	—	3	4	no	—
146	C₃×#41	—	6	2	no	—
147	C₂×C₃×Q₈	—	3	1	no	—
148	C₂×C₃×D₄	—	3	1	no	—
149	C₂×C₃×D₄	—	6	1	no	—
150	C₂²×C₃×C₄	—	2	2	no	—
151	C₂²×C₃×C₄	—	2	1	no	—
152	C₂²×C₃×C₄	—	2	1	no	—
153	C₂²×C₃×C₄	—	2	1	no	—
154	C₂²×C₃×C₄	—	6	1	no	—
155	C₂²×C₃×C₄	C₂²×C₉	1	1	yes	characteristic
156	C₂²×C₃×C₄	C₂×C₃×D₃	1	1	yes	characteristic
157	C₂×#67	—	2	1	no	—
158	#235	—	2	2	no	—
159	#235	C₄×C₉	1	4	yes	complemented
160	C₂×D₁₂	C₂²×C₉	1	1	yes	characteristic
161	C₂×C₄×D₃	—	2	1	no	—
162	C₂×Dic₆	C₂²×C₉	1	1	yes	characteristic
163	C₃×M₁₆	—	6	2	no	—
164	C₂×C₃×C₈	—	3	2	no	—
165	C₃×C₄⋊C₄	—	2	2	no	—
166	C₃×C₄⋊C₄	—	2	1	no	—
167	C₃×C₄⋊C₄	—	2	1	no	—
168	C₃×C₄⋊C₄	—	2	2	no	—
169	C₃×C₄⋊C₄	C₂²×C₉	1	2	yes	—
170	C₃×C₄⋊C₄	C₂×C₃×D₃	1	2	yes	—
171	#208	—	2	2	no	—
172	C₂×C₃⋊C₈	C₂²×C₉	1	2	yes	—
173	C₂²×C₃²	—	2	1	no	—
174	C₂²×C₃²	—	2	1	no	—
175	C₂²×C₃²	C₃×C₂²⋊C₄	1	2	yes	—
176	C₂²×C₃²	C₂×C₃×D₄	1	1	yes	characteristic
177	C₂×C₃×D₃	—	2	2	no	—
178	C₂×C₃×D₃	—	4	1	no	—
179	C₂×C₃×D₃	—	4	1	no	—
180	C₃²×C₄	—	4	2	no	—
181	C₃²×C₄	C₃×C₂²⋊C₄	1	2	yes	—
182	C₃²×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
183	C₃²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
184	C₃×Dic₃	—	2	2	no	—
185	C₂²×C₉	—	2	2	no	—
186	C₂²×C₉	—	2	2	no	—
187	C₂²×C₉	—	2	1	no	—
188	C₂²×C₉	—	2	1	no	—
189	C₂²×C₉	—	2	2	no	—
190	C₂²×C₉	—	2	1	no	—
191	C₂²×C₉	—	6	2	no	—
192	C₂²×C₉	—	12	1	no	—
193	C₂²×C₉	—	12	1	no	—
194	C₂²×C₉	(C₂×D₃)⋊C₄	1	2	yes	—
195	C₂²×C₉	C₂×#67	1	1	yes	characteristic
196	C₄×C₉	—	2	2	no	—
197	C₄×C₉	—	2	1	no	—
198	C₄×C₉	—	2	1	no	—
199	C₄×C₉	—	4	4	no	—
200	C₄×C₉	—	4	2	no	—
201	C₄×C₉	—	6	2	no	—
202	C₄×C₉	(C₂×D₃)⋊C₄	1	2	yes	—
203	C₄×C₉	C₂×C₄×D₃	1	1	yes	characteristic
204	C₄×C₉	C₂×D₁₂	1	1	yes	characteristic
205	C₂×#41	—	3	1	no	—
206	C₂×M₁₆	—	3	1	no	—
207	C₂×C₄⋊C₄	D₃×C₉	1	1	yes	characteristic, complemented
208	#103	—	3	2	no	—
209	#102	—	3	2	no	—
210	C₃×C₉	#417	1	1	yes	characteristic, complemented, Sylow
211	C₂³×C₃	—	2	1	no	—
212	C₂³×C₃	—	6	1	no	—
213	C₂³×C₃	D₄×C₉	1	1	yes	characteristic
214	C₂³×C₃	C₃×#67	1	1	yes	characteristic
215	C₂²×D₃	—	2	1	no	—
216	C₃×Q₈	—	3	2	no	—
217	C₃×Q₈	—	6	1	no	—
218	C₃×D₄	—	3	2	no	—
219	C₃×D₄	—	6	4	no	—
220	C₃×D₄	—	6	1	no	—
221	C₂×C₃×C₄	—	2	4	no	—
222	C₂×C₃×C₄	—	2	2	no	—
223	C₂×C₃×C₄	—	2	2	no	—
224	C₂×C₃×C₄	—	2	2	no	—
225	C₂×C₃×C₄	—	2	2	no	—
226	C₂×C₃×C₄	—	2	1	no	—
227	C₂×C₃×C₄	—	2	1	no	—
228	C₂×C₃×C₄	—	4	2	no	—
229	C₂×C₃×C₄	—	4	4	no	—
230	C₂×C₃×C₄	—	4	2	no	—
231	C₂×C₃×C₄	—	6	1	no	—
232	C₂×C₃×C₄	—	6	4	no	—
233	C₂×C₃×C₄	C₂×C₄×C₉	1	2	yes	—
234	C₂×C₃×C₄	D₄×C₉	1	2	yes	—
235	C₂×C₃×C₄	D₄×C₉	1	1	yes	characteristic
236	C₂×C₃×C₄	C₂³×C₉	1	1	yes	characteristic
237	C₂×C₃×C₄	C₃×C₄×D₃	1	2	yes	—
238	C₂×C₃×C₄	C₃×D₁₂	1	2	yes	—
239	C₂×C₃×C₄	C₃×#67	1	1	yes	characteristic
240	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
241	#67	—	2	4	no	—
242	C₂×Dic₃	—	2	1	no	—
243	D₁₂	—	2	1	no	—
244	D₁₂	C₂×C₄×C₉	1	2	yes	complemented
245	C₄×D₃	—	2	4	no	—
246	Dic₆	—	2	1	no	—
247	Dic₆	C₂×C₄×C₉	1	2	yes	complemented
248	C₃×C₈	—	6	2	no	—
249	C₃⋊C₈	—	2	2	no	—
250	C₂×C₃²	—	2	2	no	—
251	C₂×C₃²	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
252	C₂×C₃²	C₃×AGL(1,ℤ/8)	1	1	yes	characteristic
253	C₂×C₃²	C₃×#137	1	1	yes	characteristic
254	C₃×D₃	—	4	2	no	—
255	C₂×C₉	—	2	4	no	—
256	C₂×C₉	—	2	2	no	—
257	C₂×C₉	—	2	1	no	—
258	C₂×C₉	—	2	1	no	—
259	C₂×C₉	—	2	1	no	—
260	C₂×C₉	—	12	2	no	—
261	C₂×C₉	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
262	C₂×C₉	#932	1	1	yes	characteristic
263	C₂×C₉	#942	1	1	yes	characteristic
264	#41	—	3	4	no	—
265	#41	—	6	2	no	—
266	C₂×Q₈	—	3	1	no	—
267	C₂×D₄	—	3	1	no	—
268	C₂×D₄	—	6	1	no	—
269	C₂²×C₄	—	2	1	no	—
270	C₂²×C₄	—	6	1	no	—
271	C₂²×C₄	C₂×D₃×C₉	1	1	yes	characteristic
272	M₁₆	—	6	2	no	—
273	C₂×C₈	—	3	2	no	—
274	C₄⋊C₄	—	2	1	no	—
275	C₄⋊C₄	C₂×D₃×C₉	1	2	yes	—
276	C₂²×C₃	—	2	2	no	—
277	C₂²×C₃	—	2	2	no	—
278	C₂²×C₃	—	2	1	no	—
279	C₂²×C₃	—	2	1	no	—
280	C₂²×C₃	—	2	1	no	—
281	C₂²×C₃	—	2	1	no	—
282	C₂²×C₃	—	2	1	no	—
283	C₂²×C₃	—	2	2	no	—
284	C₂²×C₃	—	6	2	no	—
285	C₂²×C₃	—	12	1	no	—
286	C₂²×C₃	—	12	1	no	—
287	C₂²×C₃	C₉×C₂²⋊C₄	1	2	yes	—
288	C₂²×C₃	C₂×D₄×C₉	1	1	yes	characteristic
289	C₂²×C₃	C₃×(C₂×D₃)⋊C₄	1	2	yes	—
290	C₂²×C₃	C₂×C₃×#67	1	1	yes	characteristic
291	C₂×D₃	—	2	2	no	—
292	C₂×D₃	—	4	1	no	—
293	C₂×D₃	—	4	1	no	—
294	C₃×C₄	—	2	1	no	—
295	C₃×C₄	—	2	1	no	—
296	C₃×C₄	—	2	2	no	—
297	C₃×C₄	—	4	4	no	—
298	C₃×C₄	—	4	2	no	—
299	C₃×C₄	—	4	2	no	—
300	C₃×C₄	—	6	2	no	—
301	C₃×C₄	C₉×C₂²⋊C₄	1	2	yes	—
302	C₃×C₄	C₂²×C₄×C₉	1	1	yes	characteristic
303	C₃×C₄	C₂×D₄×C₉	1	1	yes	characteristic
304	C₃×C₄	C₃×(C₂×D₃)⋊C₄	1	2	yes	—
305	C₃×C₄	C₂×C₃×C₄×D₃	1	1	yes	characteristic
306	C₃×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
307	Dic₃	—	2	2	no	—
308	C₃²	C₃×#417	1	1	yes	characteristic
309	C₉	—	2	1	no	—
310	C₉	#4966	1	1	yes	characteristic, direct product factor
311	C₂³	—	6	1	no	—
312	C₂³	C₉×#67	1	1	yes	characteristic
313	Q₈	—	3	2	no	—
314	Q₈	—	6	1	no	—
315	D₄	—	3	2	no	—
316	D₄	—	6	4	no	—
317	D₄	—	6	1	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	4	2	no	—
320	C₂×C₄	—	6	1	no	—
321	C₂×C₄	—	6	4	no	—
322	C₂×C₄	C₄×D₃×C₉	1	2	yes	—
323	C₂×C₄	C₉×D₁₂	1	2	yes	—
324	C₂×C₄	C₉×#67	1	1	yes	characteristic
325	C₂×C₄	C₂²×D₃×C₉	1	1	yes	characteristic
326	C₈	—	6	2	no	—
327	C₂×C₃	—	2	4	no	—
328	C₂×C₃	—	2	2	no	—
329	C₂×C₃	—	2	2	no	—
330	C₂×C₃	—	2	1	no	—
331	C₂×C₃	—	2	1	no	—
332	C₂×C₃	—	2	1	no	—
333	C₂×C₃	—	12	2	no	—
334	C₂×C₃	C₂×C₉×C₂²⋊C₄	1	1	yes	characteristic
335	C₂×C₃	C₉×AGL(1,ℤ/8)	1	1	yes	characteristic
336	C₂×C₃	C₉×#137	1	1	yes	characteristic
337	C₂×C₃	C₂×C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
338	C₂×C₃	C₃×#932	1	1	yes	characteristic
339	C₂×C₃	C₃×#942	1	1	yes	characteristic
340	D₃	—	4	2	no	—
341	C₂²	—	2	1	no	—
342	C₂²	—	2	1	no	—
343	C₂²	—	6	2	no	—
344	C₂²	—	12	1	no	—
345	C₂²	—	12	1	no	—
346	C₂²	C₉×(C₂×D₃)⋊C₄	1	2	yes	—
347	C₂²	C₂×C₉×#67	1	1	yes	characteristic
348	C₄	—	4	2	no	—
349	C₄	—	6	2	no	—
350	C₄	C₉×(C₂×D₃)⋊C₄	1	2	yes	—
351	C₄	C₂×C₄×D₃×C₉	1	1	yes	characteristic
352	C₄	C₂×C₉×D₁₂	1	1	yes	characteristic
353	C₃	—	2	1	no	—
354	C₃	C₉×#417	1	1	yes	characteristic, complemented
355	C₃	C₃×#4966	1	1	yes	characteristic
356	C₂	—	2	2	no	—
357	C₂	—	12	2	no	—
358	C₂	C₂×C₉×(C₂×D₃)⋊C₄	1	1	yes	characteristic
359	C₂	C₉×#932	1	1	yes	characteristic
360	C₂	C₉×#942	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₉	C₂×#67
commutator	C₃×C₄	C₂²×C₄×C₉
Frattini	C₂×C₃×C₄	C₂²×C₃×D₃
Fitting	C₂×C₃×C₉×C₄⋊C₄	C₂
socle	C₂²×C₃²	C₂×C₃×D₄
prime radical	C₂×C₃×#235	C₂×C₃
cosocle	C₂×C₃²×C₄	C₂³×C₃
hypercenter	C₂×C₉×C₄⋊C₄	D₃
hypocenter	C₃	C₉×#417
LCS	G ▷ C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₉ ◁ C₂²×C₄×C₉ ◁ C₂×C₉×C₄⋊C₄

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×C₉×C₄⋊C₄	C₂	semidirect
3. C₂×C₉×#208	C₂	semidirect
4. C₉×#810	C₂	semidirect
5. C₉×#809	C₂	semidirect
12. C₉×#235	C₄	semidirect
28. C₂×C₉×C₄⋊C₄	D₃	semidirect
42. C₉×D₁₂	C₂×C₄	semidirect
45. C₉×Dic₆	C₂×C₄	semidirect
48. #4966	C₉	direct (N × H)
93. C₂×C₃×C₄⋊C₄	C₂×C₉	semidirect
95. C₂×#208	C₂×C₉	semidirect
98. #810	C₂×C₉	semidirect
99. #809	C₂×C₉	semidirect
159. #235	C₄×C₉	semidirect
207. C₂×C₄⋊C₄	D₃×C₉	semidirect
210. C₃×C₉	#417	semidirect
244. D₁₂	C₂×C₄×C₉	semidirect
247. Dic₆	C₂×C₄×C₉	semidirect
310. C₉	#4966	direct (N × H)
354. C₃	C₉×#417	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×C₉×C₄⋊C₄	2
C₂×C₉×#208	2
C₉×#810	2
C₉×#809	2
C₃×#4966	3
C₉×#417	3

Subgroups — C9×#4966 #13142582

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#4966 #13142582