Subgroups — C₉×#1924 #11766645

Order 1152.

420 conjugacy classes of subgroups.

The subgroup lattice has 369 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₉×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₉×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic
3	C₂×C₉×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic
4	C₂×C₉×#97	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄×C₉×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic
6	C₉×#336	C₂	1	1	yes	maximal, characteristic, complemented
7	C₉×#336	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#1924	C₃	1	1	yes	maximal, characteristic
9	C₂³×C₄×C₉	C₂²	1	1	yes	characteristic
10	C₂²×C₈×C₉	C₂²	1	1	yes	characteristic
11	C₂²×C₈×C₉	C₂²	1	1	yes	characteristic
12	C₂²×C₈×C₉	C₂²	1	1	yes	characteristic
13	C₂²×C₈×C₉	C₂²	1	1	yes	characteristic
14	C₂×C₉×C₂²⋊C₄	C₄	1	1	yes	characteristic
15	C₂×C₉×C₂²⋊C₄	C₄	1	1	yes	characteristic
16	C₂×C₄²×C₉	C₂²	1	1	yes	characteristic
17	C₂×C₄²×C₉	C₂²	1	1	yes	characteristic
18	C₉×C₄⋊C₈	—	2	2	no	—
19	C₉×C₂²⋊C₈	—	2	2	no	—
20	C₉×C₂²⋊C₈	—	2	2	no	—
21	C₉×#97	—	2	2	no	—
22	C₉×#95	C₄	1	1	yes	characteristic
23	C₉×#95	C₄	1	1	yes	characteristic
24	C₂×C₃×C₄⋊C₈	C₂×C₃	1	1	yes	characteristic
25	C₂×C₃×C₂²⋊C₈	C₂×C₃	1	1	yes	characteristic
26	C₂×C₃×C₂²⋊C₈	C₂×C₃	1	1	yes	characteristic
27	C₂×C₃×#97	C₂×C₃	1	1	yes	characteristic
28	C₃×C₄×C₂²⋊C₄	C₂×C₃	1	1	yes	characteristic
29	C₃×#336	C₂×C₃	1	1	yes	characteristic
30	C₃×#336	C₂×C₃	1	1	yes	characteristic
31	C₂⁴×C₉	C₂×C₄	1	1	yes	characteristic
32	C₂²×C₄×C₉	—	2	1	no	—
33	C₂²×C₄×C₉	—	2	1	no	—
34	C₂²×C₄×C₉	—	2	1	no	—
35	C₂²×C₄×C₉	—	2	1	no	—
36	C₂²×C₄×C₉	—	2	1	no	—
37	C₂²×C₄×C₉	—	2	1	no	—
38	C₂²×C₄×C₉	C₂×C₄	1	1	yes	characteristic
39	C₂²×C₄×C₉	C₂×C₄	1	1	yes	characteristic
40	C₂²×C₄×C₉	C₂×C₄	1	1	yes	characteristic
41	C₂²×C₄×C₉	C₂×C₄	1	1	yes	characteristic
42	C₂²×C₄×C₉	C₂×C₄	1	1	yes	characteristic
43	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
44	C₂×C₈×C₉	—	2	1	no	—
45	C₂×C₈×C₉	—	2	1	no	—
46	C₂×C₈×C₉	—	2	1	no	—
47	C₂×C₈×C₉	—	2	1	no	—
48	C₂×C₈×C₉	—	2	1	no	—
49	C₂×C₈×C₉	—	2	1	no	—
50	C₂×C₈×C₉	—	2	1	no	—
51	C₂×C₈×C₉	—	2	1	no	—
52	C₂×C₈×C₉	—	2	1	no	—
53	C₂×C₈×C₉	—	2	1	no	—
54	C₂×C₈×C₉	D₄	1	2	yes	—
55	C₂×C₈×C₉	D₄	1	2	yes	—
56	C₉×C₂²⋊C₄	—	2	2	no	—
57	C₉×C₂²⋊C₄	—	2	2	no	—
58	C₄²×C₉	—	2	1	no	—
59	C₄²×C₉	—	2	1	no	—
60	C₄²×C₉	—	2	1	no	—
61	C₄²×C₉	—	2	1	no	—
62	#1924	C₉	1	1	yes	characteristic, direct product factor, Sylow
63	C₂³×C₃×C₄	C₂²×C₃	1	1	yes	characteristic
64	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
65	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
66	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
67	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
68	C₂×C₃×C₂²⋊C₄	C₃×C₄	1	1	yes	characteristic
69	C₂×C₃×C₂²⋊C₄	C₃×C₄	1	1	yes	characteristic
70	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic
71	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic
72	C₃×C₄⋊C₈	—	2	2	no	—
73	C₃×C₂²⋊C₈	—	2	2	no	—
74	C₃×C₂²⋊C₈	—	2	2	no	—
75	C₃×#97	—	2	2	no	—
76	C₃×#95	C₃×C₄	1	1	yes	characteristic
77	C₃×#95	C₃×C₄	1	1	yes	characteristic
78	C₂³×C₉	—	2	1	no	—
79	C₂³×C₉	—	2	1	no	—
80	C₂³×C₉	—	2	1	no	—
81	C₂³×C₉	—	2	1	no	—
82	C₂³×C₉	—	2	1	no	—
83	C₂³×C₉	—	2	1	no	—
84	C₂³×C₉	M₁₆	1	2	yes	—
85	C₂³×C₉	C₂²×C₄	1	1	yes	characteristic
86	C₂×C₄×C₉	—	2	1	no	—
87	C₂×C₄×C₉	—	2	1	no	—
88	C₂×C₄×C₉	—	2	1	no	—
89	C₂×C₄×C₉	—	2	1	no	—
90	C₂×C₄×C₉	—	2	1	no	—
91	C₂×C₄×C₉	—	2	1	no	—
92	C₂×C₄×C₉	—	2	1	no	—
93	C₂×C₄×C₉	—	2	1	no	—
94	C₂×C₄×C₉	—	2	1	no	—
95	C₂×C₄×C₉	—	2	1	no	—
96	C₂×C₄×C₉	—	2	1	no	—
97	C₂×C₄×C₉	—	2	1	no	—
98	C₂×C₄×C₉	—	2	1	no	—
99	C₂×C₄×C₉	—	2	1	no	—
100	C₂×C₄×C₉	—	4	1	no	—
101	C₂×C₄×C₉	—	4	1	no	—
102	C₂×C₄×C₉	—	4	1	no	—
103	C₂×C₄×C₉	—	4	1	no	—
104	C₂×C₄×C₉	M₁₆	1	2	yes	—
105	C₂×C₄×C₉	C₂×D₄	1	1	yes	characteristic
106	C₂×C₄×C₉	C₂×D₄	1	1	yes	characteristic
107	C₂×C₄×C₉	#41	1	1	yes	characteristic
108	C₂×C₄×C₉	#41	1	1	yes	characteristic
109	C₂×C₄×C₉	#41	1	1	yes	characteristic
110	C₂×C₄×C₉	#41	1	1	yes	characteristic
111	C₈×C₉	—	2	2	no	—
112	C₈×C₉	—	2	2	no	—
113	C₈×C₉	—	4	1	no	—
114	C₈×C₉	—	4	1	no	—
115	C₂×C₄⋊C₈	C₂×C₉	1	1	yes	characteristic, complemented
116	C₂×C₂²⋊C₈	C₂×C₉	1	1	yes	characteristic
117	C₂×C₂²⋊C₈	C₂×C₉	1	1	yes	characteristic
118	C₂×#97	C₂×C₉	1	1	yes	characteristic, complemented
119	C₄×C₂²⋊C₄	C₂×C₉	1	1	yes	characteristic
120	#336	C₂×C₉	1	1	yes	characteristic, complemented
121	#336	C₂×C₉	1	1	yes	characteristic, complemented
122	C₂⁴×C₃	C₂×C₃×C₄	1	1	yes	characteristic
123	C₂²×C₃×C₄	—	2	1	no	—
124	C₂²×C₃×C₄	—	2	1	no	—
125	C₂²×C₃×C₄	—	2	1	no	—
126	C₂²×C₃×C₄	—	2	1	no	—
127	C₂²×C₃×C₄	—	2	1	no	—
128	C₂²×C₃×C₄	—	2	1	no	—
129	C₂²×C₃×C₄	C₂×C₃×C₄	1	1	yes	characteristic
130	C₂²×C₃×C₄	C₂×C₃×C₄	1	1	yes	characteristic
131	C₂²×C₃×C₄	C₂×C₃×C₄	1	1	yes	characteristic
132	C₂²×C₃×C₄	C₂×C₃×C₄	1	1	yes	characteristic
133	C₂²×C₃×C₄	C₂×C₃×C₄	1	1	yes	characteristic
134	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
135	C₂×C₃×C₈	—	2	1	no	—
136	C₂×C₃×C₈	—	2	1	no	—
137	C₂×C₃×C₈	—	2	1	no	—
138	C₂×C₃×C₈	—	2	1	no	—
139	C₂×C₃×C₈	—	2	1	no	—
140	C₂×C₃×C₈	—	2	1	no	—
141	C₂×C₃×C₈	—	2	1	no	—
142	C₂×C₃×C₈	—	2	1	no	—
143	C₂×C₃×C₈	—	2	1	no	—
144	C₂×C₃×C₈	—	2	1	no	—
145	C₂×C₃×C₈	C₃×D₄	1	2	yes	—
146	C₂×C₃×C₈	C₃×D₄	1	2	yes	—
147	C₃×C₂²⋊C₄	—	2	2	no	—
148	C₃×C₂²⋊C₄	—	2	2	no	—
149	C₃×C₄²	—	2	1	no	—
150	C₃×C₄²	—	2	1	no	—
151	C₃×C₄²	—	2	1	no	—
152	C₃×C₄²	—	2	1	no	—
153	C₂²×C₉	—	2	2	no	—
154	C₂²×C₉	—	2	2	no	—
155	C₂²×C₉	—	2	2	no	—
156	C₂²×C₉	—	4	1	no	—
157	C₂²×C₉	—	4	1	no	—
158	C₂²×C₉	—	4	1	no	—
159	C₂²×C₉	—	4	1	no	—
160	C₂²×C₉	#117	1	1	yes	characteristic
161	C₂²×C₉	C₄×D₄	1	1	yes	characteristic
162	C₂²×C₉	C₄×D₄	1	1	yes	characteristic
163	C₂²×C₉	C₂×M₁₆	1	1	yes	characteristic
164	C₂²×C₉	C₂×M₁₆	1	1	yes	characteristic
165	C₂²×C₉	#131	1	1	yes	characteristic
166	C₂²×C₉	#131	1	1	yes	characteristic
167	C₄×C₉	—	2	2	no	—
168	C₄×C₉	—	4	1	no	—
169	C₄×C₉	—	4	1	no	—
170	C₄×C₉	—	4	1	no	—
171	C₄×C₉	—	4	1	no	—
172	C₄×C₉	#121	1	1	yes	characteristic
173	C₄×C₉	#123	1	1	yes	characteristic
174	C₄×C₉	#124	1	1	yes	characteristic
175	C₄×C₉	#126	1	1	yes	characteristic
176	C₂³×C₄	C₂²×C₉	1	1	yes	characteristic
177	C₂²×C₈	C₂²×C₉	1	1	yes	characteristic
178	C₂²×C₈	C₂²×C₉	1	1	yes	characteristic
179	C₂²×C₈	C₂²×C₉	1	1	yes	characteristic
180	C₂²×C₈	C₂²×C₉	1	1	yes	characteristic
181	C₂×C₂²⋊C₄	C₄×C₉	1	1	yes	characteristic
182	C₂×C₂²⋊C₄	C₄×C₉	1	1	yes	characteristic
183	C₂×C₄²	C₂²×C₉	1	1	yes	characteristic
184	C₂×C₄²	C₂²×C₉	1	1	yes	characteristic
185	C₄⋊C₈	—	2	2	no	—
186	C₂²⋊C₈	—	2	2	no	—
187	C₂²⋊C₈	—	2	2	no	—
188	#97	—	2	2	no	—
189	#95	C₄×C₉	1	1	yes	characteristic
190	#95	C₄×C₉	1	1	yes	characteristic
191	C₂³×C₃	—	2	1	no	—
192	C₂³×C₃	—	2	1	no	—
193	C₂³×C₃	—	2	1	no	—
194	C₂³×C₃	—	2	1	no	—
195	C₂³×C₃	—	2	1	no	—
196	C₂³×C₃	—	2	1	no	—
197	C₂³×C₃	C₃×M₁₆	1	2	yes	—
198	C₂³×C₃	C₂²×C₃×C₄	1	1	yes	characteristic
199	C₂×C₃×C₄	—	2	1	no	—
200	C₂×C₃×C₄	—	2	1	no	—
201	C₂×C₃×C₄	—	2	1	no	—
202	C₂×C₃×C₄	—	2	1	no	—
203	C₂×C₃×C₄	—	2	1	no	—
204	C₂×C₃×C₄	—	2	1	no	—
205	C₂×C₃×C₄	—	2	1	no	—
206	C₂×C₃×C₄	—	2	1	no	—
207	C₂×C₃×C₄	—	2	1	no	—
208	C₂×C₃×C₄	—	2	1	no	—
209	C₂×C₃×C₄	—	2	1	no	—
210	C₂×C₃×C₄	—	2	1	no	—
211	C₂×C₃×C₄	—	2	1	no	—
212	C₂×C₃×C₄	—	2	1	no	—
213	C₂×C₃×C₄	—	4	1	no	—
214	C₂×C₃×C₄	—	4	1	no	—
215	C₂×C₃×C₄	—	4	1	no	—
216	C₂×C₃×C₄	—	4	1	no	—
217	C₂×C₃×C₄	C₃×M₁₆	1	2	yes	—
218	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
219	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
220	C₂×C₃×C₄	C₃×#41	1	1	yes	characteristic
221	C₂×C₃×C₄	C₃×#41	1	1	yes	characteristic
222	C₂×C₃×C₄	C₃×#41	1	1	yes	characteristic
223	C₂×C₃×C₄	C₃×#41	1	1	yes	characteristic
224	C₃×C₈	—	2	2	no	—
225	C₃×C₈	—	2	2	no	—
226	C₃×C₈	—	4	1	no	—
227	C₃×C₈	—	4	1	no	—
228	C₂×C₉	—	4	2	no	—
229	C₂×C₉	#388	1	1	yes	characteristic
230	C₂×C₉	#432	1	1	yes	characteristic
231	C₂×C₉	#433	1	1	yes	characteristic
232	C₂×C₉	#435	1	1	yes	characteristic
233	C₂×C₉	#435	1	1	yes	characteristic
234	C₂×C₉	#435	1	1	yes	characteristic
235	C₂×C₉	#436	1	1	yes	characteristic
236	C₂⁴	C₂×C₄×C₉	1	1	yes	characteristic
237	C₂²×C₄	—	2	1	no	—
238	C₂²×C₄	—	2	1	no	—
239	C₂²×C₄	—	2	1	no	—
240	C₂²×C₄	—	2	1	no	—
241	C₂²×C₄	—	2	1	no	—
242	C₂²×C₄	—	2	1	no	—
243	C₂²×C₄	C₂×C₄×C₉	1	1	yes	characteristic
244	C₂²×C₄	C₂×C₄×C₉	1	1	yes	characteristic
245	C₂²×C₄	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	C₂×C₈	—	2	1	no	—
250	C₂×C₈	—	2	1	no	—
251	C₂×C₈	—	2	1	no	—
252	C₂×C₈	—	2	1	no	—
253	C₂×C₈	—	2	1	no	—
254	C₂×C₈	—	2	1	no	—
255	C₂×C₈	—	2	1	no	—
256	C₂×C₈	—	2	1	no	—
257	C₂×C₈	—	2	1	no	—
258	C₂×C₈	—	2	1	no	—
259	C₂×C₈	D₄×C₉	1	2	yes	—
260	C₂×C₈	D₄×C₉	1	2	yes	—
261	C₂²⋊C₄	—	2	2	no	—
262	C₂²⋊C₄	—	2	2	no	—
263	C₄²	—	2	1	no	—
264	C₄²	—	2	1	no	—
265	C₄²	—	2	1	no	—
266	C₄²	—	2	1	no	—
267	C₂²×C₃	—	2	2	no	—
268	C₂²×C₃	—	2	2	no	—
269	C₂²×C₃	—	2	2	no	—
270	C₂²×C₃	—	4	1	no	—
271	C₂²×C₃	—	4	1	no	—
272	C₂²×C₃	—	4	1	no	—
273	C₂²×C₃	—	4	1	no	—
274	C₂²×C₃	C₃×#117	1	1	yes	characteristic
275	C₂²×C₃	C₃×C₄×D₄	1	1	yes	characteristic
276	C₂²×C₃	C₃×C₄×D₄	1	1	yes	characteristic
277	C₂²×C₃	C₂×C₃×M₁₆	1	1	yes	characteristic
278	C₂²×C₃	C₂×C₃×M₁₆	1	1	yes	characteristic
279	C₂²×C₃	C₃×#131	1	1	yes	characteristic
280	C₂²×C₃	C₃×#131	1	1	yes	characteristic
281	C₃×C₄	—	2	2	no	—
282	C₃×C₄	—	4	1	no	—
283	C₃×C₄	—	4	1	no	—
284	C₃×C₄	—	4	1	no	—
285	C₃×C₄	—	4	1	no	—
286	C₃×C₄	C₃×#121	1	1	yes	characteristic
287	C₃×C₄	C₃×#123	1	1	yes	characteristic
288	C₃×C₄	C₃×#124	1	1	yes	characteristic
289	C₃×C₄	C₃×#126	1	1	yes	characteristic
290	C₉	#1924	1	1	yes	characteristic, direct product factor, Sylow
291	C₂³	—	2	1	no	—
292	C₂³	—	2	1	no	—
293	C₂³	—	2	1	no	—
294	C₂³	—	2	1	no	—
295	C₂³	—	2	1	no	—
296	C₂³	—	2	1	no	—
297	C₂³	C₉×M₁₆	1	2	yes	—
298	C₂³	C₂²×C₄×C₉	1	1	yes	characteristic
299	C₂×C₄	—	2	1	no	—
300	C₂×C₄	—	2	1	no	—
301	C₂×C₄	—	2	1	no	—
302	C₂×C₄	—	2	1	no	—
303	C₂×C₄	—	2	1	no	—
304	C₂×C₄	—	2	1	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	2	1	no	—
313	C₂×C₄	—	4	1	no	—
314	C₂×C₄	—	4	1	no	—
315	C₂×C₄	—	4	1	no	—
316	C₂×C₄	—	4	1	no	—
317	C₂×C₄	C₉×M₁₆	1	2	yes	—
318	C₂×C₄	C₂×D₄×C₉	1	1	yes	characteristic
319	C₂×C₄	C₂×D₄×C₉	1	1	yes	characteristic
320	C₂×C₄	C₉×#41	1	1	yes	characteristic
321	C₂×C₄	C₉×#41	1	1	yes	characteristic
322	C₂×C₄	C₉×#41	1	1	yes	characteristic
323	C₂×C₄	C₉×#41	1	1	yes	characteristic
324	C₈	—	2	2	no	—
325	C₈	—	2	2	no	—
326	C₈	—	4	1	no	—
327	C₈	—	4	1	no	—
328	C₂×C₃	—	4	2	no	—
329	C₂×C₃	C₃×#388	1	1	yes	characteristic
330	C₂×C₃	C₃×#432	1	1	yes	characteristic
331	C₂×C₃	C₃×#433	1	1	yes	characteristic
332	C₂×C₃	C₃×#435	1	1	yes	characteristic
333	C₂×C₃	C₃×#435	1	1	yes	characteristic
334	C₂×C₃	C₃×#435	1	1	yes	characteristic
335	C₂×C₃	C₃×#436	1	1	yes	characteristic
336	C₂²	—	2	2	no	—
337	C₂²	—	2	2	no	—
338	C₂²	—	2	2	no	—
339	C₂²	—	4	1	no	—
340	C₂²	—	4	1	no	—
341	C₂²	—	4	1	no	—
342	C₂²	—	4	1	no	—
343	C₂²	C₉×#117	1	1	yes	characteristic
344	C₂²	C₄×D₄×C₉	1	1	yes	characteristic
345	C₂²	C₄×D₄×C₉	1	1	yes	characteristic
346	C₂²	C₂×C₉×M₁₆	1	1	yes	characteristic
347	C₂²	C₂×C₉×M₁₆	1	1	yes	characteristic
348	C₂²	C₉×#131	1	1	yes	characteristic
349	C₂²	C₉×#131	1	1	yes	characteristic
350	C₄	—	2	2	no	—
351	C₄	—	4	1	no	—
352	C₄	—	4	1	no	—
353	C₄	—	4	1	no	—
354	C₄	—	4	1	no	—
355	C₄	C₉×#121	1	1	yes	characteristic
356	C₄	C₉×#123	1	1	yes	characteristic
357	C₄	C₉×#124	1	1	yes	characteristic
358	C₄	C₉×#126	1	1	yes	characteristic
359	C₃	C₃×#1924	1	1	yes	characteristic
360	C₂	—	4	2	no	—
361	C₂	C₉×#388	1	1	yes	characteristic
362	C₂	C₉×#432	1	1	yes	characteristic
363	C₂	C₉×#433	1	1	yes	characteristic
364	C₂	C₉×#435	1	1	yes	characteristic
365	C₂	C₉×#435	1	1	yes	characteristic
366	C₂	C₉×#435	1	1	yes	characteristic
367	C₂	C₉×#436	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂×C₉×C₄⋊C₈	C₂	semidirect
4. C₂×C₉×#97	C₂	semidirect
6. C₉×#336	C₂	semidirect
7. C₉×#336	C₂	semidirect
62. #1924	C₉	direct (N × H)
115. C₂×C₄⋊C₈	C₂×C₉	semidirect
118. C₂×#97	C₂×C₉	semidirect
120. #336	C₂×C₉	semidirect
121. #336	C₂×C₉	semidirect
290. C₉	#1924	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₉×C₄⋊C₈	2
C₂×C₉×C₂²⋊C₈	2
C₂×C₉×#97	2
C₄×C₉×C₂²⋊C₄	2
C₉×#336	2
C₃×#1924	3

Subgroups — C9×#1924 #11766645

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#1924 #11766645