Subgroups — C₉×#2368 #11767089

Order 1152.

822 conjugacy classes of subgroups.

The subgroup lattice has 342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₉×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic
2	C₉×#391	C₂	1	2	yes	maximal, complemented
3	C₉×#387	C₂	1	2	yes	maximal, complemented
4	C₉×#387	C₂	1	2	yes	maximal, complemented
5	C₉×#385	C₂	1	2	yes	maximal
6	C₄×C₉×C₄⋊C₄	C₂	1	2	yes	maximal, complemented
7	C₄×C₉×C₂²⋊C₄	C₂	1	2	yes	maximal
8	C₄×C₉×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic
9	C₂×C₉×#95	C₂	1	1	yes	maximal, characteristic
10	C₃×#2368	C₃	1	1	yes	maximal, characteristic
11	C₂²×Q₈×C₉	C₂²	1	1	yes	characteristic
12	C₂³×C₄×C₉	C₂²	1	2	yes	—
13	C₂³×C₄×C₉	C₂²	1	1	yes	characteristic
14	C₉×C₂²⋊Q₈	C₄	1	8	yes	complemented
15	C₂×C₉×C₄⋊C₄	C₂²	1	2	yes	—
16	C₂×C₉×C₄⋊C₄	C₂²	1	2	yes	—
17	C₂×C₉×C₄⋊C₄	C₂²	1	2	yes	—
18	C₂×C₉×C₄⋊C₄	C₂²	1	1	yes	characteristic
19	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
20	C₂×C₉×C₂²⋊C₄	C₂²	1	2	yes	—
21	C₂×C₉×C₂²⋊C₄	C₂²	1	1	yes	characteristic
22	C₂×C₄²×C₉	C₂²	1	2	yes	—
23	C₂×C₄²×C₉	C₂²	1	2	yes	—
24	C₂×C₄²×C₉	C₂²	1	2	yes	—
25	C₉×#95	C₂²	1	1	yes	characteristic
26	C₉×#95	C₂²	1	1	yes	characteristic
27	C₉×#95	C₂²	1	2	yes	—
28	C₉×#95	C₂²	1	2	yes	—
29	C₉×#95	C₂²	1	2	yes	—
30	C₉×#95	C₂²	1	2	yes	—
31	C₉×#95	C₂²	1	2	yes	—
32	C₉×#95	C₂²	1	2	yes	—
33	C₂×C₃×C₂²⋊Q₈	C₂×C₃	1	1	yes	characteristic
34	C₃×#391	C₂×C₃	1	2	yes	—
35	C₃×#387	C₂×C₃	1	2	yes	—
36	C₃×#387	C₂×C₃	1	2	yes	—
37	C₃×#385	C₂×C₃	1	2	yes	—
38	C₃×C₄×C₄⋊C₄	C₂×C₃	1	2	yes	—
39	C₃×C₄×C₂²⋊C₄	C₂×C₃	1	2	yes	—
40	C₃×C₄×C₂²⋊C₄	C₂×C₃	1	1	yes	characteristic
41	C₂×C₃×#95	C₂×C₃	1	1	yes	characteristic
42	C₂⁴×C₉	C₂³	1	1	yes	characteristic
43	C₂×Q₈×C₉	—	4	2	no	—
44	C₂×Q₈×C₉	C₂×C₄	1	4	yes	complemented
45	C₂²×C₄×C₉	—	2	4	no	—
46	C₂²×C₄×C₉	—	2	4	no	—
47	C₂²×C₄×C₉	—	4	2	no	—
48	C₂²×C₄×C₉	—	4	2	no	—
49	C₂²×C₄×C₉	C₂×C₄	1	4	yes	—
50	C₂²×C₄×C₉	C₂³	1	2	yes	—
51	C₂²×C₄×C₉	C₂³	1	2	yes	—
52	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
53	C₂²×C₄×C₉	C₂³	1	2	yes	—
54	C₂²×C₄×C₉	C₂³	1	2	yes	—
55	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
56	C₂²×C₄×C₉	C₂³	1	2	yes	—
57	C₂²×C₄×C₉	C₂³	1	2	yes	—
58	C₉×C₄⋊C₄	—	2	4	no	—
59	C₉×C₄⋊C₄	—	4	2	no	—
60	C₉×C₄⋊C₄	C₂×C₄	1	4	yes	complemented
61	C₉×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
62	C₉×C₂²⋊C₄	—	2	2	no	—
63	C₉×C₂²⋊C₄	C₂×C₄	1	8	yes	—
64	C₉×C₂²⋊C₄	Q₈	1	4	yes	complemented
65	C₄²×C₉	—	2	4	no	—
66	C₄²×C₉	—	4	2	no	—
67	C₄²×C₉	—	4	2	no	—
68	#2368	C₉	1	1	yes	characteristic, direct product factor, Sylow
69	C₂²×C₃×Q₈	C₂²×C₃	1	1	yes	characteristic
70	C₂³×C₃×C₄	C₂²×C₃	1	2	yes	—
71	C₂³×C₃×C₄	C₂²×C₃	1	1	yes	characteristic
72	C₃×C₂²⋊Q₈	C₃×C₄	1	8	yes	—
73	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	2	yes	—
74	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	2	yes	—
75	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	2	yes	—
76	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
77	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
78	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
79	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
80	C₂×C₃×C₄²	C₂²×C₃	1	2	yes	—
81	C₂×C₃×C₄²	C₂²×C₃	1	2	yes	—
82	C₂×C₃×C₄²	C₂²×C₃	1	2	yes	—
83	C₃×#95	C₂²×C₃	1	1	yes	characteristic
84	C₃×#95	C₂²×C₃	1	1	yes	characteristic
85	C₃×#95	C₂²×C₃	1	2	yes	—
86	C₃×#95	C₂²×C₃	1	2	yes	—
87	C₃×#95	C₂²×C₃	1	2	yes	—
88	C₃×#95	C₂²×C₃	1	2	yes	—
89	C₃×#95	C₂²×C₃	1	2	yes	—
90	C₃×#95	C₂²×C₃	1	2	yes	—
91	C₂³×C₉	—	2	2	no	—
92	C₂³×C₉	—	2	2	no	—
93	C₂³×C₉	C₂²×C₄	1	2	yes	—
94	C₂³×C₉	C₂×Q₈	1	2	yes	—
95	C₂³×C₉	#41	1	2	yes	—
96	C₂³×C₉	C₂⁴	1	1	yes	characteristic
97	Q₈×C₉	—	4	4	no	—
98	C₂×C₄×C₉	—	2	2	no	—
99	C₂×C₄×C₉	—	2	2	no	—
100	C₂×C₄×C₉	—	2	2	no	—
101	C₂×C₄×C₉	—	2	2	no	—
102	C₂×C₄×C₉	—	2	2	no	—
103	C₂×C₄×C₉	—	2	2	no	—
104	C₂×C₄×C₉	—	2	2	no	—
105	C₂×C₄×C₉	—	2	2	no	—
106	C₂×C₄×C₉	—	2	2	no	—
107	C₂×C₄×C₉	—	2	2	no	—
108	C₂×C₄×C₉	—	2	2	no	—
109	C₂×C₄×C₉	—	2	2	no	—
110	C₂×C₄×C₉	—	2	2	no	—
111	C₂×C₄×C₉	—	2	2	no	—
112	C₂×C₄×C₉	—	2	2	no	—
113	C₂×C₄×C₉	—	2	2	no	—
114	C₂×C₄×C₉	—	4	4	no	—
115	C₂×C₄×C₉	—	4	8	no	—
116	C₂×C₄×C₉	C₂²×C₄	1	4	yes	—
117	C₂×C₄×C₉	C₂²×C₄	1	4	yes	—
118	C₂×C₄×C₉	C₂²×C₄	1	2	yes	—
119	C₂×C₄×C₉	C₂²×C₄	1	2	yes	—
120	C₂×C₄×C₉	C₂×Q₈	1	4	yes	—
121	C₂×C₄×C₉	#41	1	4	yes	—
122	C₂×C₂²⋊Q₈	C₂×C₉	1	1	yes	characteristic
123	#391	C₂×C₉	1	2	yes	complemented
124	#387	C₂×C₉	1	2	yes	complemented
125	#387	C₂×C₉	1	2	yes	complemented
126	#385	C₂×C₉	1	2	yes	—
127	C₄×C₄⋊C₄	C₂×C₉	1	2	yes	complemented
128	C₄×C₂²⋊C₄	C₂×C₉	1	2	yes	—
129	C₄×C₂²⋊C₄	C₂×C₉	1	1	yes	characteristic
130	C₂×#95	C₂×C₉	1	1	yes	characteristic
131	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
132	C₂×C₃×Q₈	—	4	2	no	—
133	C₂×C₃×Q₈	C₂×C₃×C₄	1	4	yes	—
134	C₂²×C₃×C₄	—	2	4	no	—
135	C₂²×C₃×C₄	—	2	4	no	—
136	C₂²×C₃×C₄	—	4	2	no	—
137	C₂²×C₃×C₄	—	4	2	no	—
138	C₂²×C₃×C₄	C₂×C₃×C₄	1	4	yes	—
139	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
140	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
141	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
142	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
143	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
144	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
145	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
146	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
147	C₃×C₄⋊C₄	—	2	4	no	—
148	C₃×C₄⋊C₄	—	4	2	no	—
149	C₃×C₄⋊C₄	C₂×C₃×C₄	1	4	yes	—
150	C₃×C₄⋊C₄	C₂×C₃×C₄	1	8	yes	—
151	C₃×C₂²⋊C₄	—	2	2	no	—
152	C₃×C₂²⋊C₄	C₂×C₃×C₄	1	8	yes	—
153	C₃×C₂²⋊C₄	C₃×Q₈	1	4	yes	—
154	C₃×C₄²	—	2	4	no	—
155	C₃×C₄²	—	4	2	no	—
156	C₃×C₄²	—	4	2	no	—
157	C₂²×C₉	—	2	2	no	—
158	C₂²×C₉	—	2	2	no	—
159	C₂²×C₉	—	2	4	no	—
160	C₂²×C₉	—	2	4	no	—
161	C₂²×C₉	C₄×Q₈	1	4	yes	—
162	C₂²×C₉	C₂³×C₄	1	1	yes	characteristic
163	C₂²×C₉	C₂²×Q₈	1	1	yes	characteristic
164	C₂²×C₉	C₂×#41	1	1	yes	characteristic
165	C₂²×C₉	C₂×#41	1	2	yes	—
166	C₂²×C₉	H(5,𝔽₂)	1	2	yes	—
167	C₄×C₉	—	2	4	no	—
168	C₄×C₉	—	2	2	no	—
169	C₄×C₉	—	2	2	no	—
170	C₄×C₉	—	2	4	no	—
171	C₄×C₉	—	2	4	no	—
172	C₄×C₉	—	2	4	no	—
173	C₄×C₉	—	4	2	no	—
174	C₄×C₉	—	4	2	no	—
175	C₂²×Q₈	C₂²×C₉	1	1	yes	characteristic
176	C₂³×C₄	C₂²×C₉	1	2	yes	—
177	C₂³×C₄	C₂²×C₉	1	1	yes	characteristic
178	C₂²⋊Q₈	C₄×C₉	1	8	yes	complemented
179	C₂×C₄⋊C₄	C₂²×C₉	1	2	yes	—
180	C₂×C₄⋊C₄	C₂²×C₉	1	2	yes	—
181	C₂×C₄⋊C₄	C₂²×C₉	1	2	yes	—
182	C₂×C₄⋊C₄	C₂²×C₉	1	1	yes	characteristic
183	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
184	C₂×C₂²⋊C₄	C₂²×C₉	1	2	yes	—
185	C₂×C₂²⋊C₄	C₂²×C₉	1	1	yes	characteristic
186	C₂×C₄²	C₂²×C₉	1	2	yes	—
187	C₂×C₄²	C₂²×C₉	1	2	yes	—
188	C₂×C₄²	C₂²×C₉	1	2	yes	—
189	#95	C₂²×C₉	1	1	yes	characteristic
190	#95	C₂²×C₉	1	1	yes	characteristic
191	#95	C₂²×C₉	1	2	yes	—
192	#95	C₂²×C₉	1	2	yes	—
193	#95	C₂²×C₉	1	2	yes	—
194	#95	C₂²×C₉	1	2	yes	—
195	#95	C₂²×C₉	1	2	yes	—
196	#95	C₂²×C₉	1	2	yes	—
197	C₂³×C₃	—	2	2	no	—
198	C₂³×C₃	—	2	2	no	—
199	C₂³×C₃	C₂²×C₃×C₄	1	2	yes	—
200	C₂³×C₃	C₂×C₃×Q₈	1	2	yes	—
201	C₂³×C₃	C₃×#41	1	2	yes	—
202	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
203	C₃×Q₈	—	4	4	no	—
204	C₂×C₃×C₄	—	2	2	no	—
205	C₂×C₃×C₄	—	2	2	no	—
206	C₂×C₃×C₄	—	2	2	no	—
207	C₂×C₃×C₄	—	2	2	no	—
208	C₂×C₃×C₄	—	2	2	no	—
209	C₂×C₃×C₄	—	2	2	no	—
210	C₂×C₃×C₄	—	2	2	no	—
211	C₂×C₃×C₄	—	2	2	no	—
212	C₂×C₃×C₄	—	2	2	no	—
213	C₂×C₃×C₄	—	2	2	no	—
214	C₂×C₃×C₄	—	2	2	no	—
215	C₂×C₃×C₄	—	2	2	no	—
216	C₂×C₃×C₄	—	2	2	no	—
217	C₂×C₃×C₄	—	2	2	no	—
218	C₂×C₃×C₄	—	2	2	no	—
219	C₂×C₃×C₄	—	2	2	no	—
220	C₂×C₃×C₄	—	4	4	no	—
221	C₂×C₃×C₄	—	4	8	no	—
222	C₂×C₃×C₄	C₂²×C₃×C₄	1	4	yes	—
223	C₂×C₃×C₄	C₂²×C₃×C₄	1	4	yes	—
224	C₂×C₃×C₄	C₂²×C₃×C₄	1	2	yes	—
225	C₂×C₃×C₄	C₂²×C₃×C₄	1	2	yes	—
226	C₂×C₃×C₄	C₂×C₃×Q₈	1	4	yes	—
227	C₂×C₃×C₄	C₃×#41	1	4	yes	—
228	C₂×C₉	—	2	4	no	—
229	C₂×C₉	C₂×C₄×Q₈	1	1	yes	characteristic
230	C₂×C₉	C₄×#41	1	1	yes	characteristic
231	C₂×C₉	#518	1	1	yes	characteristic
232	C₂×C₉	#551	1	2	yes	—
233	C₂×C₉	#554	1	2	yes	—
234	C₂⁴	C₂³×C₉	1	1	yes	characteristic
235	C₂×Q₈	—	4	2	no	—
236	C₂×Q₈	C₂×C₄×C₉	1	4	yes	complemented
237	C₂²×C₄	—	2	4	no	—
238	C₂²×C₄	—	2	4	no	—
239	C₂²×C₄	—	4	2	no	—
240	C₂²×C₄	—	4	2	no	—
241	C₂²×C₄	C₂×C₄×C₉	1	4	yes	—
242	C₂²×C₄	C₂³×C₉	1	2	yes	—
243	C₂²×C₄	C₂³×C₉	1	2	yes	—
244	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
245	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
246	C₂²×C₄	C₂³×C₉	1	2	yes	—
247	C₂²×C₄	C₂³×C₉	1	2	yes	—
248	C₂²×C₄	C₂³×C₉	1	2	yes	—
249	C₂²×C₄	C₂³×C₉	1	2	yes	—
250	C₄⋊C₄	—	2	4	no	—
251	C₄⋊C₄	—	4	2	no	—
252	C₄⋊C₄	C₂×C₄×C₉	1	4	yes	complemented
253	C₄⋊C₄	C₂×C₄×C₉	1	8	yes	complemented
254	C₂²⋊C₄	—	2	2	no	—
255	C₂²⋊C₄	C₂×C₄×C₉	1	8	yes	—
256	C₂²⋊C₄	Q₈×C₉	1	4	yes	complemented
257	C₄²	—	2	4	no	—
258	C₄²	—	4	2	no	—
259	C₄²	—	4	2	no	—
260	C₂²×C₃	—	2	2	no	—
261	C₂²×C₃	—	2	2	no	—
262	C₂²×C₃	—	2	4	no	—
263	C₂²×C₃	—	2	4	no	—
264	C₂²×C₃	C₃×C₄×Q₈	1	4	yes	—
265	C₂²×C₃	C₂³×C₃×C₄	1	1	yes	characteristic
266	C₂²×C₃	C₂²×C₃×Q₈	1	1	yes	characteristic
267	C₂²×C₃	C₂×C₃×#41	1	1	yes	characteristic
268	C₂²×C₃	C₂×C₃×#41	1	2	yes	—
269	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	—
270	C₃×C₄	—	2	4	no	—
271	C₃×C₄	—	2	2	no	—
272	C₃×C₄	—	2	2	no	—
273	C₃×C₄	—	2	4	no	—
274	C₃×C₄	—	2	4	no	—
275	C₃×C₄	—	2	4	no	—
276	C₃×C₄	—	4	2	no	—
277	C₃×C₄	—	4	2	no	—
278	C₉	#2368	1	1	yes	characteristic, direct product factor, Sylow
279	C₂³	—	2	2	no	—
280	C₂³	—	2	2	no	—
281	C₂³	C₂²×C₄×C₉	1	2	yes	—
282	C₂³	C₂×Q₈×C₉	1	2	yes	—
283	C₂³	C₉×#41	1	2	yes	—
284	C₂³	C₂⁴×C₉	1	1	yes	characteristic
285	Q₈	—	4	4	no	—
286	C₂×C₄	—	2	2	no	—
287	C₂×C₄	—	2	2	no	—
288	C₂×C₄	—	2	2	no	—
289	C₂×C₄	—	2	2	no	—
290	C₂×C₄	—	2	2	no	—
291	C₂×C₄	—	2	2	no	—
292	C₂×C₄	—	2	2	no	—
293	C₂×C₄	—	2	2	no	—
294	C₂×C₄	—	2	2	no	—
295	C₂×C₄	—	2	2	no	—
296	C₂×C₄	—	2	2	no	—
297	C₂×C₄	—	2	2	no	—
298	C₂×C₄	—	2	2	no	—
299	C₂×C₄	—	2	2	no	—
300	C₂×C₄	—	2	2	no	—
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	4	4	no	—
303	C₂×C₄	—	4	8	no	—
304	C₂×C₄	C₂²×C₄×C₉	1	4	yes	—
305	C₂×C₄	C₂²×C₄×C₉	1	4	yes	—
306	C₂×C₄	C₂²×C₄×C₉	1	2	yes	—
307	C₂×C₄	C₂²×C₄×C₉	1	2	yes	—
308	C₂×C₄	C₂×Q₈×C₉	1	4	yes	—
309	C₂×C₄	C₉×#41	1	4	yes	—
310	C₂×C₃	—	2	4	no	—
311	C₂×C₃	C₂×C₃×C₄×Q₈	1	1	yes	characteristic
312	C₂×C₃	C₃×C₄×#41	1	1	yes	characteristic
313	C₂×C₃	C₃×#518	1	1	yes	characteristic
314	C₂×C₃	C₃×#551	1	2	yes	—
315	C₂×C₃	C₃×#554	1	2	yes	—
316	C₂²	—	2	4	no	—
317	C₂²	—	2	4	no	—
318	C₂²	—	2	2	no	—
319	C₂²	—	2	2	no	—
320	C₂²	C₄×Q₈×C₉	1	4	yes	—
321	C₂²	C₂³×C₄×C₉	1	1	yes	characteristic
322	C₂²	C₂²×Q₈×C₉	1	1	yes	characteristic
323	C₂²	C₂×C₉×#41	1	1	yes	characteristic
324	C₂²	C₂×C₉×#41	1	2	yes	—
325	C₂²	C₉×H(5,𝔽₂)	1	2	yes	—
326	C₄	—	2	4	no	—
327	C₄	—	2	4	no	—
328	C₄	—	2	4	no	—
329	C₄	—	2	2	no	—
330	C₄	—	2	2	no	—
331	C₄	—	2	4	no	—
332	C₄	—	4	2	no	—
333	C₄	—	4	2	no	—
334	C₃	C₃×#2368	1	1	yes	characteristic
335	C₂	—	2	4	no	—
336	C₂	C₂×C₄×Q₈×C₉	1	1	yes	characteristic
337	C₂	C₄×C₉×#41	1	1	yes	characteristic
338	C₂	C₉×#518	1	1	yes	characteristic
339	C₂	C₉×#551	1	2	yes	—
340	C₂	C₉×#554	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
2. C₉×#391	C₂	semidirect
3. C₉×#387	C₂	semidirect
4. C₉×#387	C₂	semidirect
6. C₄×C₉×C₄⋊C₄	C₂	semidirect
14. C₉×C₂²⋊Q₈	C₄	semidirect
44. C₂×Q₈×C₉	C₂×C₄	semidirect
60. C₉×C₄⋊C₄	C₂×C₄	semidirect
61. C₉×C₄⋊C₄	C₂×C₄	semidirect
64. C₉×C₂²⋊C₄	Q₈	semidirect
68. #2368	C₉	direct (N × H)
123. #391	C₂×C₉	semidirect
124. #387	C₂×C₉	semidirect
125. #387	C₂×C₉	semidirect
127. C₄×C₄⋊C₄	C₂×C₉	semidirect
178. C₂²⋊Q₈	C₄×C₉	semidirect
236. C₂×Q₈	C₂×C₄×C₉	semidirect
252. C₄⋊C₄	C₂×C₄×C₉	semidirect
253. C₄⋊C₄	C₂×C₄×C₉	semidirect
256. C₂²⋊C₄	Q₈×C₉	semidirect
278. C₉	#2368	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×C₂²⋊Q₈	2
C₉×#391	2
C₉×#387	2
C₉×#385	2
C₄×C₉×C₄⋊C₄	2
C₄×C₉×C₂²⋊C₄	2
C₂×C₉×#95	2
C₃×#2368	3

Subgroups — C9×#2368 #11767089

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#2368 #11767089