Subgroups — C₉×#5176 #13143344

Order 1728.

500 conjugacy classes of subgroups.

The subgroup lattice has 376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₉×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
2	C₉×#947	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₉×#215	C₂	1	1	yes	maximal, characteristic, complemented
4	C₉×#940	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₉×#213	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₉×D₂₄	C₂	1	1	yes	maximal, characteristic, complemented
7	C₉×#815	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5176	C₃	1	1	yes	maximal, characteristic
9	C₉×#496	—	3	1	no	maximal
10	C₂×C₃×Q₈×C₉	C₂²	1	1	yes	characteristic
11	C₂×C₃×D₄×C₉	C₂²	1	1	yes	characteristic
12	C₂×C₉×#67	—	2	2	no	—
13	C₂×C₉×D₁₂	C₂²	1	1	yes	characteristic
14	C₂×C₉×D₁₂	C₂²	1	1	yes	characteristic
15	C₃×C₉×SD₁₆	—	2	2	no	—
16	C₂×C₃×C₈×C₉	C₂²	1	1	yes	characteristic
17	C₉×#215	—	2	2	no	—
18	C₉×#213	—	2	2	no	—
19	C₉×(C₂×D₃)⋊C₄	—	2	2	no	—
20	C₄×C₉×Dic₃	C₂²	1	1	yes	characteristic
21	C₂×C₉×C₃⋊C₈	C₂²	1	1	yes	characteristic
22	C₉×D₂₄	—	2	2	no	—
23	C₂×C₃²×SD₁₆	C₂×C₃	1	1	yes	characteristic
24	C₃×#947	C₂×C₃	1	1	yes	characteristic
25	C₂×C₃×#215	C₂×C₃	1	1	yes	characteristic
26	C₃×#940	C₂×C₃	1	1	yes	characteristic
27	C₂×C₃×#213	C₂×C₃	1	1	yes	characteristic
28	C₂×C₃×D₂₄	C₂×C₃	1	1	yes	characteristic
29	C₃×#815	C₂×C₃	1	1	yes	characteristic
30	C₂×C₉×SD₁₆	—	2	1	no	—
31	C₂×C₉×SD₁₆	—	3	1	no	—
32	C₂×C₉×SD₁₆	D₃	1	1	yes	characteristic, complemented
33	C₂×C₉×D₈	—	3	1	no	—
34	C₂×C₉×D₈	—	3	1	no	—
35	C₉×#127	—	3	1	no	—
36	C₉×#124	—	3	1	no	—
37	C₉×#97	—	3	1	no	—
38	C₂³×C₃×C₉	—	2	1	no	—
39	C₂²×D₃×C₉	—	2	1	no	—
40	C₂²×D₃×C₉	—	2	1	no	—
41	C₃×Q₈×C₉	—	2	1	no	—
42	C₃×Q₈×C₉	—	2	1	no	—
43	C₃×D₄×C₉	—	2	1	no	—
44	C₃×D₄×C₉	—	2	1	no	—
45	C₂×C₃×C₄×C₉	—	2	1	no	—
46	C₂×C₃×C₄×C₉	C₂³	1	1	yes	characteristic
47	C₉×#67	—	4	4	no	—
48	C₂×C₉×Dic₃	D₄	1	2	yes	—
49	C₉×D₁₂	—	2	1	no	—
50	C₉×D₁₂	—	2	1	no	—
51	C₉×D₁₂	—	2	1	no	—
52	C₉×D₁₂	—	2	1	no	—
53	C₃×C₈×C₉	D₄	1	2	yes	complemented
54	C₉×C₃⋊C₈	D₄	1	2	yes	complemented
55	C₃×#496	—	3	1	no	—
56	#5176	C₉	1	1	yes	characteristic, direct product factor
57	C₂×C₃²×Q₈	C₂²×C₃	1	1	yes	characteristic
58	C₂×C₃²×D₄	C₂²×C₃	1	1	yes	characteristic
59	C₂×C₃×#67	—	2	2	no	—
60	C₂×C₃×D₁₂	C₂²×C₃	1	1	yes	characteristic
61	C₂×C₃×D₁₂	C₂²×C₃	1	1	yes	characteristic
62	C₃²×SD₁₆	—	2	2	no	—
63	C₂×C₃²×C₈	C₂²×C₃	1	1	yes	characteristic
64	C₃×#215	—	2	2	no	—
65	C₃×#213	—	2	2	no	—
66	C₃×(C₂×D₃)⋊C₄	—	2	2	no	—
67	C₃×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
68	C₂×C₃×C₃⋊C₈	C₂²×C₃	1	1	yes	characteristic
69	C₃×D₂₄	—	2	2	no	—
70	C₂×Q₈×C₉	—	2	1	no	—
71	C₂×Q₈×C₉	C₂×D₃	1	1	yes	characteristic
72	C₂×D₄×C₉	—	2	1	no	—
73	C₂×D₄×C₉	—	3	1	no	—
74	C₂×D₄×C₉	—	3	1	no	—
75	C₂×D₄×C₉	—	6	2	no	—
76	C₂×D₄×C₉	C₂×D₃	1	1	yes	characteristic
77	C₉×SD₁₆	—	2	4	no	—
78	C₉×SD₁₆	—	2	2	no	—
79	C₉×SD₁₆	—	6	2	no	—
80	C₉×D₈	—	6	2	no	—
81	C₉×D₈	—	6	2	no	—
82	C₂×C₈×C₉	—	2	1	no	—
83	C₂×C₈×C₉	—	3	1	no	—
84	C₂×C₈×C₉	C₂×D₃	1	1	yes	characteristic
85	C₉×C₂²⋊C₄	—	6	2	no	—
86	C₄²×C₉	—	3	1	no	—
87	C₂²×C₃×C₉	—	4	1	no	—
88	C₂²×C₃×C₉	—	4	2	no	—
89	C₂²×C₃×C₉	C₂×D₄	1	1	yes	characteristic
90	C₂×D₃×C₉	—	4	1	no	—
91	C₂×D₃×C₉	—	4	1	no	—
92	C₂×D₃×C₉	—	4	2	no	—
93	C₂×D₃×C₉	—	4	2	no	—
94	C₃×C₄×C₉	—	4	1	no	—
95	C₃×C₄×C₉	C₂×D₄	1	1	yes	characteristic
96	C₃×C₄×C₉	C₂×D₄	1	1	yes	characteristic
97	C₉×Dic₃	—	2	2	no	—
98	C₂×C₃×SD₁₆	—	2	1	no	—
99	C₂×C₃×SD₁₆	—	3	1	no	—
100	C₂×C₃×SD₁₆	C₂×C₉	1	1	yes	characteristic, complemented
101	C₂×C₃×SD₁₆	C₃×D₃	1	1	yes	characteristic
102	C₂×C₃×D₈	—	3	1	no	—
103	C₂×C₃×D₈	—	3	1	no	—
104	C₃×#127	—	3	1	no	—
105	C₃×#124	—	3	1	no	—
106	#947	C₂×C₉	1	1	yes	characteristic, complemented
107	C₂×#215	C₂×C₉	1	1	yes	characteristic, complemented
108	#940	C₂×C₉	1	1	yes	characteristic, complemented
109	C₂×#213	C₂×C₉	1	1	yes	characteristic, complemented
110	C₂×D₂₄	C₂×C₉	1	1	yes	characteristic, complemented
111	C₃×#97	—	3	1	no	—
112	#815	C₂×C₉	1	1	yes	characteristic, complemented
113	C₂³×C₃²	—	2	1	no	—
114	C₂²×C₃×D₃	—	2	1	no	—
115	C₂²×C₃×D₃	—	2	1	no	—
116	C₃²×Q₈	—	2	1	no	—
117	C₃²×Q₈	—	2	1	no	—
118	C₃²×D₄	—	2	1	no	—
119	C₃²×D₄	—	2	1	no	—
120	C₂×C₃²×C₄	—	2	1	no	—
121	C₂×C₃²×C₄	C₂³×C₃	1	1	yes	characteristic
122	C₃×#67	—	4	4	no	—
123	C₂×C₃×Dic₃	C₃×D₄	1	2	yes	—
124	C₃×D₁₂	—	2	1	no	—
125	C₃×D₁₂	—	2	1	no	—
126	C₃×D₁₂	—	2	1	no	—
127	C₃×D₁₂	—	2	1	no	—
128	C₂³×C₉	—	2	1	no	—
129	C₂³×C₉	—	4	1	no	—
130	C₂³×C₉	—	6	1	no	—
131	C₂³×C₉	—	6	1	no	—
132	C₃²×C₈	C₃×D₄	1	2	yes	—
133	C₃×C₃⋊C₈	C₃×D₄	1	2	yes	—
134	Q₈×C₉	—	2	2	no	—
135	Q₈×C₉	—	2	1	no	—
136	Q₈×C₉	—	2	1	no	—
137	Q₈×C₉	—	4	1	no	—
138	D₄×C₉	—	2	2	no	—
139	D₄×C₉	—	2	1	no	—
140	D₄×C₉	—	2	1	no	—
141	D₄×C₉	—	4	1	no	—
142	D₄×C₉	—	6	1	no	—
143	D₄×C₉	—	6	1	no	—
144	D₄×C₉	—	6	1	no	—
145	D₄×C₉	—	6	1	no	—
146	D₄×C₉	—	12	4	no	—
147	C₂×C₄×C₉	—	2	1	no	—
148	C₂×C₄×C₉	—	2	1	no	—
149	C₂×C₄×C₉	—	3	2	no	—
150	C₂×C₄×C₉	—	4	1	no	—
151	C₂×C₄×C₉	C₂²×D₃	1	1	yes	characteristic
152	C₈×C₉	—	2	2	no	—
153	C₈×C₉	—	3	2	no	—
154	C₈×C₉	#67	1	2	yes	complemented
155	#496	—	3	1	no	Sylow
156	C₂×C₃×C₉	—	8	1	no	—
157	C₂×C₃×C₉	#127	1	1	yes	characteristic
158	C₂×C₃×C₉	AGL(1,ℤ/8)	1	2	yes	—
159	D₃×C₉	—	8	1	no	—
160	D₃×C₉	—	8	1	no	—
161	C₂×C₃×Q₈	—	2	1	no	—
162	C₂×C₃×Q₈	C₂²×C₉	1	1	yes	characteristic
163	C₂×C₃×Q₈	C₂×C₃×D₃	1	1	yes	characteristic
164	C₂×C₃×D₄	—	2	1	no	—
165	C₂×C₃×D₄	—	3	1	no	—
166	C₂×C₃×D₄	—	3	1	no	—
167	C₂×C₃×D₄	—	6	2	no	—
168	C₂×C₃×D₄	C₂²×C₉	1	1	yes	characteristic
169	C₂×C₃×D₄	C₂×C₃×D₃	1	1	yes	characteristic
170	C₂×#67	—	2	2	no	—
171	C₂×D₁₂	C₂²×C₉	1	1	yes	characteristic
172	C₂×D₁₂	C₂²×C₉	1	1	yes	characteristic
173	C₃×SD₁₆	—	2	4	no	—
174	C₃×SD₁₆	—	2	2	no	—
175	C₃×SD₁₆	—	2	2	no	—
176	C₃×SD₁₆	—	6	2	no	—
177	C₃×D₈	—	6	2	no	—
178	C₃×D₈	—	6	2	no	—
179	C₂×C₃×C₈	—	2	1	no	—
180	C₂×C₃×C₈	—	3	1	no	—
181	C₂×C₃×C₈	C₂²×C₉	1	1	yes	characteristic
182	C₂×C₃×C₈	C₂×C₃×D₃	1	1	yes	characteristic
183	C₃×C₂²⋊C₄	—	6	2	no	—
184	C₃×C₄²	—	3	1	no	—
185	#215	—	2	2	no	—
186	#213	—	2	2	no	—
187	(C₂×D₃)⋊C₄	—	2	2	no	—
188	C₄×Dic₃	C₂²×C₉	1	1	yes	characteristic
189	C₂×C₃⋊C₈	C₂²×C₉	1	1	yes	characteristic
190	D₂₄	—	2	2	no	—
191	C₂²×C₃²	—	4	1	no	—
192	C₂²×C₃²	—	4	2	no	—
193	C₂²×C₃²	C₂×C₃×D₄	1	1	yes	characteristic
194	C₂×C₃×D₃	—	4	1	no	—
195	C₂×C₃×D₃	—	4	1	no	—
196	C₂×C₃×D₃	—	4	2	no	—
197	C₂×C₃×D₃	—	4	2	no	—
198	C₃²×C₄	—	4	1	no	—
199	C₃²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
200	C₃²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
201	C₃×Dic₃	—	2	2	no	—
202	C₂²×C₉	—	2	1	no	—
203	C₂²×C₉	—	4	2	no	—
204	C₂²×C₉	—	4	2	no	—
205	C₂²×C₉	—	4	1	no	—
206	C₂²×C₉	—	8	2	no	—
207	C₂²×C₉	—	12	2	no	—
208	C₂²×C₉	—	12	2	no	—
209	C₂²×C₉	—	12	1	no	—
210	C₂²×C₉	—	12	1	no	—
211	C₂²×C₉	D₃×D₄	1	1	yes	characteristic
212	C₄×C₉	—	2	1	no	—
213	C₄×C₉	—	2	1	no	—
214	C₄×C₉	—	4	2	no	—
215	C₄×C₉	—	4	1	no	—
216	C₄×C₉	—	6	2	no	—
217	C₄×C₉	D₃×D₄	1	1	yes	characteristic
218	C₄×C₉	C₂×#67	1	1	yes	characteristic
219	C₂×SD₁₆	—	3	1	no	—
220	C₂×SD₁₆	D₃×C₉	1	1	yes	characteristic, complemented
221	C₂×D₈	—	3	1	no	—
222	C₂×D₈	—	3	1	no	—
223	#127	—	3	1	no	—
224	#124	—	3	1	no	—
225	#97	—	3	1	no	—
226	C₃×C₉	#496	1	1	yes	characteristic, complemented, Sylow
227	C₂³×C₃	—	2	1	no	—
228	C₂³×C₃	—	2	1	no	—
229	C₂³×C₃	—	4	1	no	—
230	C₂³×C₃	—	6	1	no	—
231	C₂³×C₃	—	6	1	no	—
232	C₂²×D₃	—	2	1	no	—
233	C₂²×D₃	—	2	1	no	—
234	C₃×Q₈	—	2	2	no	—
235	C₃×Q₈	—	2	1	no	—
236	C₃×Q₈	—	2	1	no	—
237	C₃×Q₈	—	2	1	no	—
238	C₃×Q₈	—	2	1	no	—
239	C₃×Q₈	—	4	1	no	—
240	C₃×D₄	—	2	2	no	—
241	C₃×D₄	—	2	1	no	—
242	C₃×D₄	—	2	1	no	—
243	C₃×D₄	—	2	1	no	—
244	C₃×D₄	—	2	1	no	—
245	C₃×D₄	—	4	1	no	—
246	C₃×D₄	—	6	1	no	—
247	C₃×D₄	—	6	1	no	—
248	C₃×D₄	—	6	1	no	—
249	C₃×D₄	—	6	1	no	—
250	C₃×D₄	—	12	4	no	—
251	C₂×C₃×C₄	—	2	1	no	—
252	C₂×C₃×C₄	—	2	1	no	—
253	C₂×C₃×C₄	—	2	1	no	—
254	C₂×C₃×C₄	—	3	2	no	—
255	C₂×C₃×C₄	—	4	1	no	—
256	C₂×C₃×C₄	C₂³×C₉	1	1	yes	characteristic
257	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
258	#67	—	4	4	no	—
259	C₂×Dic₃	D₄×C₉	1	2	yes	—
260	D₁₂	—	2	1	no	—
261	D₁₂	—	2	1	no	—
262	D₁₂	—	2	1	no	—
263	D₁₂	—	2	1	no	—
264	C₃×C₈	—	2	2	no	—
265	C₃×C₈	—	3	2	no	—
266	C₃×C₈	D₄×C₉	1	2	yes	complemented
267	C₃×C₈	C₃×#67	1	2	yes	—
268	C₃⋊C₈	D₄×C₉	1	2	yes	complemented
269	C₂×C₃²	—	8	1	no	—
270	C₂×C₃²	C₃×#127	1	1	yes	characteristic
271	C₂×C₃²	C₃×AGL(1,ℤ/8)	1	2	yes	—
272	C₃×D₃	—	8	1	no	—
273	C₃×D₃	—	8	1	no	—
274	C₂×C₉	—	2	2	no	—
275	C₂×C₉	—	2	1	no	—
276	C₂×C₉	—	8	2	no	—
277	C₂×C₉	—	8	1	no	—
278	C₂×C₉	—	24	1	no	—
279	C₂×C₉	—	24	1	no	—
280	C₂×C₉	#914	1	2	yes	—
281	C₂×C₉	#940	1	1	yes	characteristic
282	C₂×Q₈	C₂×D₃×C₉	1	1	yes	characteristic
283	C₂×D₄	—	3	1	no	—
284	C₂×D₄	—	3	1	no	—
285	C₂×D₄	—	6	2	no	—
286	C₂×D₄	C₂×D₃×C₉	1	1	yes	characteristic
287	SD₁₆	—	2	2	no	—
288	SD₁₆	—	6	2	no	—
289	D₈	—	6	2	no	—
290	D₈	—	6	2	no	—
291	C₂×C₈	—	3	1	no	—
292	C₂×C₈	C₂×D₃×C₉	1	1	yes	characteristic
293	C₂²⋊C₄	—	6	2	no	—
294	C₄²	—	3	1	no	—
295	C₂²×C₃	—	2	1	no	—
296	C₂²×C₃	—	4	2	no	—
297	C₂²×C₃	—	4	2	no	—
298	C₂²×C₃	—	4	1	no	—
299	C₂²×C₃	—	4	2	no	—
300	C₂²×C₃	—	4	1	no	—
301	C₂²×C₃	—	8	2	no	—
302	C₂²×C₃	—	12	2	no	—
303	C₂²×C₃	—	12	2	no	—
304	C₂²×C₃	—	12	1	no	—
305	C₂²×C₃	—	12	1	no	—
306	C₂²×C₃	C₂×D₄×C₉	1	1	yes	characteristic
307	C₂²×C₃	C₃×D₃×D₄	1	1	yes	characteristic
308	C₂×D₃	—	4	1	no	—
309	C₂×D₃	—	4	1	no	—
310	C₂×D₃	—	4	2	no	—
311	C₂×D₃	—	4	2	no	—
312	C₃×C₄	—	2	1	no	—
313	C₃×C₄	—	2	1	no	—
314	C₃×C₄	—	4	2	no	—
315	C₃×C₄	—	4	1	no	—
316	C₃×C₄	—	4	1	no	—
317	C₃×C₄	—	6	2	no	—
318	C₃×C₄	C₂×D₄×C₉	1	1	yes	characteristic
319	C₃×C₄	C₂×D₄×C₉	1	1	yes	characteristic
320	C₃×C₄	C₃×D₃×D₄	1	1	yes	characteristic
321	C₃×C₄	C₂×C₃×#67	1	1	yes	characteristic
322	Dic₃	—	2	2	no	—
323	C₃²	C₃×#496	1	1	yes	characteristic
324	C₉	—	2	1	no	—
325	C₉	#5176	1	1	yes	characteristic, direct product factor
326	C₂³	—	2	1	no	—
327	C₂³	—	6	1	no	—
328	C₂³	—	6	1	no	—
329	Q₈	—	2	1	no	—
330	Q₈	—	2	1	no	—
331	D₄	—	2	1	no	—
332	D₄	—	2	1	no	—
333	D₄	—	6	1	no	—
334	D₄	—	6	1	no	—
335	D₄	—	6	1	no	—
336	D₄	—	6	1	no	—
337	D₄	—	12	4	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	3	2	no	—
340	C₂×C₄	C₂²×D₃×C₉	1	1	yes	characteristic
341	C₈	—	3	2	no	—
342	C₈	C₉×#67	1	2	yes	complemented
343	C₂×C₃	—	2	2	no	—
344	C₂×C₃	—	2	1	no	—
345	C₂×C₃	—	8	2	no	—
346	C₂×C₃	—	8	1	no	—
347	C₂×C₃	—	8	1	no	—
348	C₂×C₃	—	24	1	no	—
349	C₂×C₃	—	24	1	no	—
350	C₂×C₃	C₉×#127	1	1	yes	characteristic
351	C₂×C₃	C₉×AGL(1,ℤ/8)	1	2	yes	—
352	C₂×C₃	C₃×#914	1	2	yes	—
353	C₂×C₃	C₃×#940	1	1	yes	characteristic
354	D₃	—	8	1	no	—
355	D₃	—	8	1	no	—
356	C₂²	—	4	2	no	—
357	C₂²	—	4	1	no	—
358	C₂²	—	12	2	no	—
359	C₂²	—	12	2	no	—
360	C₂²	—	12	1	no	—
361	C₂²	—	12	1	no	—
362	C₂²	D₃×D₄×C₉	1	1	yes	characteristic
363	C₄	—	4	1	no	—
364	C₄	—	6	2	no	—
365	C₄	D₃×D₄×C₉	1	1	yes	characteristic
366	C₄	C₂×C₉×#67	1	1	yes	characteristic
367	C₃	—	2	1	no	—
368	C₃	C₉×#496	1	1	yes	characteristic, complemented
369	C₃	C₃×#5176	1	1	yes	characteristic
370	C₂	—	8	1	no	—
371	C₂	—	24	1	no	—
372	C₂	—	24	1	no	—
373	C₂	C₉×#914	1	2	yes	—
374	C₂	C₉×#940	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₉	D₃×D₄
commutator	C₂×C₃×C₄	C₂³×C₉
Frattini	C₂×C₃×C₄	C₂²×C₃×D₃
Fitting	C₂×C₃×C₉×SD₁₆	C₂
socle	C₂²×C₃²	C₂×C₃×D₄
prime radical	C₃×#5176	C₃
cosocle	C₂×C₃²×C₄	C₂³×C₃
hypercenter	C₂×C₉×SD₁₆	D₃
hypocenter	C₃	C₉×#496
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₉ ◁ C₂×C₄×C₉ ◁ C₂×C₉×SD₁₆

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×C₉×SD₁₆	C₂	semidirect
2. C₉×#947	C₂	semidirect
3. C₂×C₉×#215	C₂	semidirect
4. C₉×#940	C₂	semidirect
5. C₂×C₉×#213	C₂	semidirect
6. C₂×C₉×D₂₄	C₂	semidirect
7. C₉×#815	C₂	semidirect
32. C₂×C₉×SD₁₆	D₃	semidirect
53. C₃×C₈×C₉	D₄	semidirect
54. C₉×C₃⋊C₈	D₄	semidirect
56. #5176	C₉	direct (N × H)
100. C₂×C₃×SD₁₆	C₂×C₉	semidirect
106. #947	C₂×C₉	semidirect
107. C₂×#215	C₂×C₉	semidirect
108. #940	C₂×C₉	semidirect
109. C₂×#213	C₂×C₉	semidirect
110. C₂×D₂₄	C₂×C₉	semidirect
112. #815	C₂×C₉	semidirect
154. C₈×C₉	#67	semidirect
220. C₂×SD₁₆	D₃×C₉	semidirect
226. C₃×C₉	#496	semidirect
266. C₃×C₈	D₄×C₉	semidirect
268. C₃⋊C₈	D₄×C₉	semidirect
325. C₉	#5176	direct (N × H)
342. C₈	C₉×#67	semidirect
368. C₃	C₉×#496	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×SD₁₆	2
C₉×#947	2
C₂×C₉×#215	2
C₉×#940	2
C₂×C₉×#213	2
C₂×C₉×D₂₄	2
C₉×#815	2
C₃×#5176	3
C₉×#496	3

Subgroups — C9×#5176 #13143344

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#5176 #13143344