Subgroups — C₉×#2992 #11767713

Order 1152.

534 conjugacy classes of subgroups.

The subgroup lattice has 345 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×#529	C₂	1	1	yes	maximal, characteristic
2	C₉×#446	C₂	1	2	yes	maximal, complemented
3	C₉×#435	C₂	1	2	yes	maximal, complemented
4	C₉×#435	C₂	1	2	yes	maximal, complemented
5	C₈×D₄×C₉	C₂	1	2	yes	maximal, complemented
6	C₉×#433	C₂	1	2	yes	maximal, complemented
7	C₉×#432	C₂	1	1	yes	maximal, characteristic, complemented
8	C₉×#424	C₂	1	2	yes	maximal, complemented
9	C₂×C₉×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#2992	C₃	1	1	yes	maximal, characteristic
11	C₂×C₉×M₁₆	C₂²	1	2	yes	—
12	C₂²×C₈×C₉	C₂²	1	1	yes	characteristic
13	C₂²×C₈×C₉	C₂²	1	1	yes	characteristic
14	C₂²×C₈×C₉	C₂²	1	2	yes	—
15	C₉×#126	C₄	1	2	yes	—
16	C₉×#125	C₄	1	1	yes	characteristic
17	C₉×#124	C₄	1	1	yes	characteristic
18	C₉×#123	C₄	1	2	yes	—
19	C₉×C₂²⋊Q₈	C₄	1	1	yes	characteristic
20	C₉×#121	C₄	1	1	yes	characteristic
21	C₄×Q₈×C₉	C₂²	1	1	yes	characteristic
22	C₄×D₄×C₉	C₂²	1	2	yes	—
23	C₄×D₄×C₉	C₂²	1	1	yes	characteristic
24	C₉×#117	C₂²	1	2	yes	—
25	C₂×C₄²×C₉	C₂²	1	1	yes	characteristic
26	C₉×C₄⋊C₈	C₂²	1	2	yes	—
27	C₉×C₄⋊C₈	C₂²	1	2	yes	—
28	C₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
29	C₉×C₄⋊C₈	C₂²	1	2	yes	—
30	C₉×C₄⋊C₈	C₂²	1	2	yes	—
31	C₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
32	C₉×C₂²⋊C₈	C₂²	1	2	yes	—
33	C₉×C₂²⋊C₈	C₂²	1	2	yes	—
34	C₉×C₂²⋊C₈	C₂²	1	2	yes	—
35	C₉×#97	C₂²	1	2	yes	—
36	C₉×#97	C₂²	1	2	yes	—
37	C₄×C₈×C₉	C₂²	1	2	yes	—
38	C₃×#529	C₂×C₃	1	1	yes	characteristic
39	C₃×#446	C₂×C₃	1	2	yes	—
40	C₃×#435	C₂×C₃	1	2	yes	—
41	C₃×#435	C₂×C₃	1	2	yes	—
42	C₃×C₈×D₄	C₂×C₃	1	2	yes	—
43	C₃×#433	C₂×C₃	1	2	yes	—
44	C₃×#432	C₂×C₃	1	1	yes	characteristic
45	C₃×#424	C₂×C₃	1	2	yes	—
46	C₂×C₃×C₄⋊C₈	C₂×C₃	1	1	yes	characteristic
47	C₂×Q₈×C₉	C₂×C₄	1	1	yes	characteristic
48	C₂×D₄×C₉	C₂×C₄	1	2	yes	—
49	C₂×D₄×C₉	C₂×C₄	1	1	yes	characteristic
50	C₂²×C₄×C₉	C₂×C₄	1	1	yes	characteristic
51	C₂²×C₄×C₉	C₂×C₄	1	1	yes	characteristic
52	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
53	C₂²×C₄×C₉	C₂³	1	2	yes	—
54	C₉×M₁₆	—	4	2	no	—
55	C₂×C₈×C₉	—	4	1	no	—
56	C₂×C₈×C₉	—	4	2	no	—
57	C₂×C₈×C₉	—	4	1	no	—
58	C₂×C₈×C₉	C₂³	1	2	yes	—
59	C₂×C₈×C₉	C₂³	1	2	yes	—
60	C₂×C₈×C₉	C₂³	1	2	yes	—
61	C₂×C₈×C₉	C₂³	1	2	yes	—
62	C₉×C₄⋊C₄	C₂×C₄	1	2	yes	—
63	C₉×C₄⋊C₄	C₂×C₄	1	2	yes	—
64	C₉×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
65	C₉×C₄⋊C₄	C₂×C₄	1	2	yes	—
66	C₉×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
67	C₉×C₄⋊C₄	C₂×C₄	1	2	yes	—
68	C₉×C₂²⋊C₄	C₂×C₄	1	2	yes	—
69	C₉×C₂²⋊C₄	C₂×C₄	1	2	yes	—
70	C₉×C₂²⋊C₄	C₂×C₄	1	2	yes	—
71	C₉×C₂²⋊C₄	C₂×C₄	1	2	yes	—
72	C₉×C₂²⋊C₄	C₂×C₄	1	2	yes	—
73	C₄²×C₉	C₂×C₄	1	1	yes	characteristic
74	C₄²×C₉	C₂×C₄	1	1	yes	characteristic
75	C₄²×C₉	C₂³	1	1	yes	characteristic
76	C₄²×C₉	C₂³	1	1	yes	characteristic
77	C₄²×C₉	C₂³	1	2	yes	—
78	#2992	C₉	1	1	yes	characteristic, direct product factor, Sylow
79	C₂×C₃×M₁₆	C₂²×C₃	1	2	yes	—
80	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
81	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
82	C₂²×C₃×C₈	C₂²×C₃	1	2	yes	—
83	C₃×#126	C₃×C₄	1	2	yes	—
84	C₃×#125	C₃×C₄	1	1	yes	characteristic
85	C₃×#124	C₃×C₄	1	1	yes	characteristic
86	C₃×#123	C₃×C₄	1	2	yes	—
87	C₃×C₂²⋊Q₈	C₃×C₄	1	1	yes	characteristic
88	C₃×#121	C₃×C₄	1	1	yes	characteristic
89	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
90	C₃×C₄×D₄	C₂²×C₃	1	2	yes	—
91	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
92	C₃×#117	C₂²×C₃	1	2	yes	—
93	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic
94	C₃×C₄⋊C₈	C₂²×C₃	1	2	yes	—
95	C₃×C₄⋊C₈	C₂²×C₃	1	2	yes	—
96	C₃×C₄⋊C₈	C₂²×C₃	1	1	yes	characteristic
97	C₃×C₄⋊C₈	C₂²×C₃	1	2	yes	—
98	C₃×C₄⋊C₈	C₂²×C₃	1	2	yes	—
99	C₃×C₄⋊C₈	C₂²×C₃	1	1	yes	characteristic
100	C₃×C₂²⋊C₈	C₂²×C₃	1	2	yes	—
101	C₃×C₂²⋊C₈	C₂²×C₃	1	2	yes	—
102	C₃×C₂²⋊C₈	C₂²×C₃	1	2	yes	—
103	C₃×#97	C₂²×C₃	1	2	yes	—
104	C₃×#97	C₂²×C₃	1	2	yes	—
105	C₃×C₄×C₈	C₂²×C₃	1	2	yes	—
106	C₂³×C₉	C₂²×C₄	1	2	yes	—
107	C₂³×C₉	C₂²×C₄	1	1	yes	characteristic
108	Q₈×C₉	—	4	1	no	—
109	D₄×C₉	—	2	4	no	—
110	D₄×C₉	—	4	1	no	—
111	C₂×C₄×C₉	—	2	2	no	—
112	C₂×C₄×C₉	—	2	1	no	—
113	C₂×C₄×C₉	—	2	2	no	—
114	C₂×C₄×C₉	—	2	1	no	—
115	C₂×C₄×C₉	—	2	2	no	—
116	C₂×C₄×C₉	—	4	1	no	—
117	C₂×C₄×C₉	C₂²×C₄	1	1	yes	characteristic
118	C₂×C₄×C₉	C₂²×C₄	1	1	yes	characteristic
119	C₂×C₄×C₉	C₂²×C₄	1	1	yes	characteristic
120	C₂×C₄×C₉	C₂²×C₄	1	1	yes	characteristic
121	C₂×C₄×C₉	C₂²×C₄	1	1	yes	characteristic
122	C₂×C₄×C₉	C₂²×C₄	1	2	yes	—
123	C₂×C₄×C₉	C₂²×C₄	1	2	yes	—
124	C₂×C₄×C₉	C₂²×C₄	1	2	yes	—
125	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
126	C₈×C₉	—	2	2	no	—
127	C₈×C₉	—	2	2	no	—
128	C₈×C₉	—	2	2	no	—
129	C₈×C₉	—	2	2	no	—
130	#529	C₂×C₉	1	1	yes	characteristic
131	#446	C₂×C₉	1	2	yes	complemented
132	#435	C₂×C₉	1	2	yes	complemented
133	#435	C₂×C₉	1	2	yes	complemented
134	C₈×D₄	C₂×C₉	1	2	yes	complemented
135	#433	C₂×C₉	1	2	yes	complemented
136	#432	C₂×C₉	1	1	yes	characteristic, complemented
137	#424	C₂×C₉	1	2	yes	complemented
138	C₂×C₄⋊C₈	C₂×C₉	1	1	yes	characteristic, complemented
139	C₂×C₃×Q₈	C₂×C₃×C₄	1	1	yes	characteristic
140	C₂×C₃×D₄	C₂×C₃×C₄	1	2	yes	—
141	C₂×C₃×D₄	C₂×C₃×C₄	1	1	yes	characteristic
142	C₂²×C₃×C₄	C₂×C₃×C₄	1	1	yes	characteristic
143	C₂²×C₃×C₄	C₂×C₃×C₄	1	1	yes	characteristic
144	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
145	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
146	C₃×M₁₆	—	4	2	no	—
147	C₂×C₃×C₈	—	4	1	no	—
148	C₂×C₃×C₈	—	4	2	no	—
149	C₂×C₃×C₈	—	4	1	no	—
150	C₂×C₃×C₈	C₂³×C₃	1	2	yes	—
151	C₂×C₃×C₈	C₂³×C₃	1	2	yes	—
152	C₂×C₃×C₈	C₂³×C₃	1	2	yes	—
153	C₂×C₃×C₈	C₂³×C₃	1	2	yes	—
154	C₃×C₄⋊C₄	C₂×C₃×C₄	1	2	yes	—
155	C₃×C₄⋊C₄	C₂×C₃×C₄	1	2	yes	—
156	C₃×C₄⋊C₄	C₂×C₃×C₄	1	1	yes	characteristic
157	C₃×C₄⋊C₄	C₂×C₃×C₄	1	2	yes	—
158	C₃×C₄⋊C₄	C₂×C₃×C₄	1	1	yes	characteristic
159	C₃×C₄⋊C₄	C₂×C₃×C₄	1	2	yes	—
160	C₃×C₂²⋊C₄	C₂×C₃×C₄	1	2	yes	—
161	C₃×C₂²⋊C₄	C₂×C₃×C₄	1	2	yes	—
162	C₃×C₂²⋊C₄	C₂×C₃×C₄	1	2	yes	—
163	C₃×C₂²⋊C₄	C₂×C₃×C₄	1	2	yes	—
164	C₃×C₂²⋊C₄	C₂×C₃×C₄	1	2	yes	—
165	C₃×C₄²	C₂×C₃×C₄	1	1	yes	characteristic
166	C₃×C₄²	C₂×C₃×C₄	1	1	yes	characteristic
167	C₃×C₄²	C₂³×C₃	1	2	yes	—
168	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
169	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
170	C₂²×C₉	—	2	1	no	—
171	C₂²×C₉	—	2	1	no	—
172	C₂²×C₉	—	2	2	no	—
173	C₂²×C₉	—	2	2	no	—
174	C₂²×C₉	—	2	2	no	—
175	C₂²×C₉	#131	1	2	yes	—
176	C₂²×C₉	C₂³×C₄	1	1	yes	characteristic
177	C₄×C₉	—	2	1	no	—
178	C₄×C₉	—	2	2	no	—
179	C₄×C₉	—	2	1	no	—
180	C₄×C₉	—	2	1	no	—
181	C₄×C₉	—	2	2	no	—
182	C₄×C₉	—	2	1	no	—
183	C₄×C₉	—	2	1	no	—
184	C₄×C₉	—	2	2	no	—
185	C₄×C₉	H(5,𝔽₂)	1	1	yes	characteristic
186	C₄×C₉	2₋¹⁺⁴	1	1	yes	characteristic
187	C₂×M₁₆	C₂²×C₉	1	2	yes	—
188	C₂²×C₈	C₂²×C₉	1	1	yes	characteristic
189	C₂²×C₈	C₂²×C₉	1	1	yes	characteristic
190	C₂²×C₈	C₂²×C₉	1	2	yes	—
191	#126	C₄×C₉	1	2	yes	—
192	#125	C₄×C₉	1	1	yes	characteristic
193	#124	C₄×C₉	1	1	yes	characteristic
194	#123	C₄×C₉	1	2	yes	—
195	C₂²⋊Q₈	C₄×C₉	1	1	yes	characteristic
196	#121	C₄×C₉	1	1	yes	characteristic
197	C₄×Q₈	C₂²×C₉	1	1	yes	characteristic
198	C₄×D₄	C₂²×C₉	1	2	yes	—
199	C₄×D₄	C₂²×C₉	1	1	yes	characteristic
200	#117	C₂²×C₉	1	2	yes	—
201	C₂×C₄²	C₂²×C₉	1	1	yes	characteristic
202	C₄⋊C₈	C₂²×C₉	1	2	yes	—
203	C₄⋊C₈	C₂²×C₉	1	2	yes	—
204	C₄⋊C₈	C₂²×C₉	1	1	yes	characteristic
205	C₄⋊C₈	C₂²×C₉	1	2	yes	—
206	C₄⋊C₈	C₂²×C₉	1	2	yes	—
207	C₄⋊C₈	C₂²×C₉	1	1	yes	characteristic
208	C₂²⋊C₈	C₂²×C₉	1	2	yes	—
209	C₂²⋊C₈	C₂²×C₉	1	2	yes	—
210	C₂²⋊C₈	C₂²×C₉	1	2	yes	—
211	#97	C₂²×C₉	1	2	yes	—
212	#97	C₂²×C₉	1	2	yes	—
213	C₄×C₈	C₂²×C₉	1	2	yes	—
214	C₂³×C₃	C₂²×C₃×C₄	1	2	yes	—
215	C₂³×C₃	C₂²×C₃×C₄	1	1	yes	characteristic
216	C₃×Q₈	—	4	1	no	—
217	C₃×D₄	—	2	4	no	—
218	C₃×D₄	—	4	1	no	—
219	C₂×C₃×C₄	—	2	2	no	—
220	C₂×C₃×C₄	—	2	1	no	—
221	C₂×C₃×C₄	—	2	2	no	—
222	C₂×C₃×C₄	—	2	1	no	—
223	C₂×C₃×C₄	—	2	2	no	—
224	C₂×C₃×C₄	—	4	1	no	—
225	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
226	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
227	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
228	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
229	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
230	C₂×C₃×C₄	C₂²×C₃×C₄	1	2	yes	—
231	C₂×C₃×C₄	C₂²×C₃×C₄	1	2	yes	—
232	C₂×C₃×C₄	C₂²×C₃×C₄	1	2	yes	—
233	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
234	C₃×C₈	—	2	2	no	—
235	C₃×C₈	—	2	2	no	—
236	C₃×C₈	—	2	2	no	—
237	C₃×C₈	—	2	2	no	—
238	C₂×C₉	—	2	2	no	—
239	C₂×C₉	—	4	2	no	—
240	C₂×C₉	#520	1	1	yes	characteristic
241	C₂×C₉	C₂×#131	1	1	yes	characteristic
242	C₂×C₉	#568	1	1	yes	characteristic
243	C₂×Q₈	C₂×C₄×C₉	1	1	yes	characteristic
244	C₂×D₄	C₂×C₄×C₉	1	2	yes	—
245	C₂×D₄	C₂×C₄×C₉	1	1	yes	characteristic
246	C₂²×C₄	C₂×C₄×C₉	1	1	yes	characteristic
247	C₂²×C₄	C₂×C₄×C₉	1	1	yes	characteristic
248	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
249	C₂²×C₄	C₂³×C₉	1	2	yes	—
250	M₁₆	—	4	2	no	—
251	C₂×C₈	—	4	1	no	—
252	C₂×C₈	—	4	2	no	—
253	C₂×C₈	—	4	1	no	—
254	C₂×C₈	C₂³×C₉	1	2	yes	—
255	C₂×C₈	C₂³×C₉	1	2	yes	—
256	C₂×C₈	C₂³×C₉	1	2	yes	—
257	C₂×C₈	C₂³×C₉	1	2	yes	—
258	C₄⋊C₄	C₂×C₄×C₉	1	2	yes	—
259	C₄⋊C₄	C₂×C₄×C₉	1	2	yes	—
260	C₄⋊C₄	C₂×C₄×C₉	1	1	yes	characteristic
261	C₄⋊C₄	C₂×C₄×C₉	1	2	yes	—
262	C₄⋊C₄	C₂×C₄×C₉	1	1	yes	characteristic
263	C₄⋊C₄	C₂×C₄×C₉	1	2	yes	—
264	C₂²⋊C₄	C₂×C₄×C₉	1	2	yes	—
265	C₂²⋊C₄	C₂×C₄×C₉	1	2	yes	—
266	C₂²⋊C₄	C₂×C₄×C₉	1	2	yes	—
267	C₂²⋊C₄	C₂×C₄×C₉	1	2	yes	—
268	C₂²⋊C₄	C₂×C₄×C₉	1	2	yes	—
269	C₄²	C₂×C₄×C₉	1	1	yes	characteristic
270	C₄²	C₂×C₄×C₉	1	1	yes	characteristic
271	C₄²	C₂³×C₉	1	2	yes	—
272	C₄²	C₂³×C₉	1	1	yes	characteristic
273	C₄²	C₂³×C₉	1	1	yes	characteristic
274	C₂²×C₃	—	2	1	no	—
275	C₂²×C₃	—	2	1	no	—
276	C₂²×C₃	—	2	2	no	—
277	C₂²×C₃	—	2	2	no	—
278	C₂²×C₃	—	2	2	no	—
279	C₂²×C₃	C₃×#131	1	2	yes	—
280	C₂²×C₃	C₂³×C₃×C₄	1	1	yes	characteristic
281	C₃×C₄	—	2	1	no	—
282	C₃×C₄	—	2	1	no	—
283	C₃×C₄	—	2	2	no	—
284	C₃×C₄	—	2	1	no	—
285	C₃×C₄	—	2	1	no	—
286	C₃×C₄	—	2	2	no	—
287	C₃×C₄	—	2	1	no	—
288	C₃×C₄	—	2	2	no	—
289	C₃×C₄	C₃×H(5,𝔽₂)	1	1	yes	characteristic
290	C₃×C₄	C₃×2₋¹⁺⁴	1	1	yes	characteristic
291	C₉	#2992	1	1	yes	characteristic, direct product factor, Sylow
292	C₂³	C₂²×C₄×C₉	1	2	yes	—
293	C₂³	C₂²×C₄×C₉	1	1	yes	characteristic
294	Q₈	—	4	1	no	—
295	D₄	—	2	4	no	—
296	D₄	—	4	1	no	—
297	C₂×C₄	—	2	2	no	—
298	C₂×C₄	—	2	1	no	—
299	C₂×C₄	—	2	2	no	—
300	C₂×C₄	—	2	1	no	—
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	4	1	no	—
303	C₂×C₄	C₂²×C₄×C₉	1	1	yes	characteristic
304	C₂×C₄	C₂²×C₄×C₉	1	1	yes	characteristic
305	C₂×C₄	C₂²×C₄×C₉	1	1	yes	characteristic
306	C₂×C₄	C₂²×C₄×C₉	1	1	yes	characteristic
307	C₂×C₄	C₂²×C₄×C₉	1	1	yes	characteristic
308	C₂×C₄	C₂²×C₄×C₉	1	2	yes	—
309	C₂×C₄	C₂²×C₄×C₉	1	2	yes	—
310	C₂×C₄	C₂²×C₄×C₉	1	2	yes	—
311	C₂×C₄	C₂⁴×C₉	1	1	yes	characteristic
312	C₈	—	2	2	no	—
313	C₈	—	2	2	no	—
314	C₈	—	2	2	no	—
315	C₈	—	2	2	no	—
316	C₂×C₃	—	2	2	no	—
317	C₂×C₃	—	4	2	no	—
318	C₂×C₃	C₃×#520	1	1	yes	characteristic
319	C₂×C₃	C₂×C₃×#131	1	1	yes	characteristic
320	C₂×C₃	C₃×#568	1	1	yes	characteristic
321	C₂²	—	2	1	no	—
322	C₂²	—	2	1	no	—
323	C₂²	—	2	2	no	—
324	C₂²	—	2	2	no	—
325	C₂²	—	2	2	no	—
326	C₂²	C₉×#131	1	2	yes	—
327	C₂²	C₂³×C₄×C₉	1	1	yes	characteristic
328	C₄	—	2	1	no	—
329	C₄	—	2	2	no	—
330	C₄	—	2	1	no	—
331	C₄	—	2	1	no	—
332	C₄	—	2	2	no	—
333	C₄	—	2	1	no	—
334	C₄	—	2	1	no	—
335	C₄	—	2	2	no	—
336	C₄	C₉×H(5,𝔽₂)	1	1	yes	characteristic
337	C₄	C₉×2₋¹⁺⁴	1	1	yes	characteristic
338	C₃	C₃×#2992	1	1	yes	characteristic
339	C₂	—	2	2	no	—
340	C₂	—	4	2	no	—
341	C₂	C₉×#520	1	1	yes	characteristic
342	C₂	C₂×C₉×#131	1	1	yes	characteristic
343	C₂	C₉×#568	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₉	C₂⁴
commutator	C₂²	C₂³×C₄×C₉
Frattini, cosocle	C₂×C₃×C₄	C₂⁴×C₃
socle	C₂²×C₃	C₂³×C₃×C₄
prime radical	C₃×#121	C₃×C₄
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₉×#446	C₂	semidirect
3. C₉×#435	C₂	semidirect
4. C₉×#435	C₂	semidirect
5. C₈×D₄×C₉	C₂	semidirect
6. C₉×#433	C₂	semidirect
7. C₉×#432	C₂	semidirect
8. C₉×#424	C₂	semidirect
9. C₂×C₉×C₄⋊C₈	C₂	semidirect
78. #2992	C₉	direct (N × H)
131. #446	C₂×C₉	semidirect
132. #435	C₂×C₉	semidirect
133. #435	C₂×C₉	semidirect
134. C₈×D₄	C₂×C₉	semidirect
135. #433	C₂×C₉	semidirect
136. #432	C₂×C₉	semidirect
137. #424	C₂×C₉	semidirect
138. C₂×C₄⋊C₈	C₂×C₉	semidirect
291. C₉	#2992	direct (N × H)

Maximal subgroups

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

subgroup	index
C₉×#529	2
C₉×#446	2
C₉×#435	2
C₈×D₄×C₉	2
C₉×#433	2
C₉×#432	2
C₉×#424	2
C₂×C₉×C₄⋊C₈	2
C₃×#2992	3

Subgroups — C9×#2992 #11767713

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#2992 #11767713