Subgroups — C₉×#3191 #11767912

Order 1152.

636 conjugacy classes of subgroups.

The subgroup lattice has 366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×#525	C₂	1	2	yes	maximal, complemented
2	C₉×#485	C₂	1	2	yes	maximal, complemented
3	C₉×#482	C₂	1	2	yes	maximal, complemented
4	C₉×#467	C₂	1	1	yes	maximal, characteristic, complemented
5	C₉×#466	C₂	1	1	yes	maximal, characteristic, complemented
6	C₉×#465	C₂	1	2	yes	maximal, complemented
7	C₉×#452	C₂	1	2	yes	maximal, complemented
8	C₉×#449	C₂	1	2	yes	maximal, complemented
9	C₂×C₉×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3191	C₃	1	1	yes	maximal, characteristic
11	C₂×C₉×#41	C₂²	1	2	yes	—
12	C₂³×C₄×C₉	C₂²	1	1	yes	characteristic
13	C₂×C₉×Q₁₆	C₂²	1	1	yes	characteristic, complemented
14	C₂×C₉×SD₁₆	C₂²	1	2	yes	complemented
15	C₂×C₉×D₈	C₂²	1	1	yes	characteristic, complemented
16	C₂²×C₈×C₉	C₂²	1	1	yes	characteristic
17	C₂²×C₈×C₉	C₂²	1	1	yes	characteristic
18	C₉×#123	—	2	2	no	—
19	C₉×C₂²⋊Q₈	C₂²	1	2	yes	—
20	C₉×C₂²⋊Q₈	C₂²	1	2	yes	—
21	C₉×#121	C₂²	1	2	yes	—
22	C₉×#121	C₂²	1	2	yes	—
23	C₉×#120	—	2	2	no	—
24	C₄×D₄×C₉	—	2	2	no	—
25	C₄×D₄×C₉	—	2	2	no	—
26	C₉×#117	C₂²	1	2	yes	—
27	C₉×#107	C₂²	1	1	yes	characteristic, complemented
28	C₉×#107	C₂²	1	1	yes	characteristic, complemented
29	C₉×#106	C₂²	1	2	yes	complemented
30	C₉×#103	C₂²	1	2	yes	complemented
31	C₉×#103	C₂²	1	2	yes	complemented
32	C₉×#102	C₂²	1	2	yes	complemented
33	C₉×#102	C₂²	1	2	yes	complemented
34	C₉×C₂²⋊C₈	C₂²	1	2	yes	—
35	C₉×C₂²⋊C₈	C₂²	1	2	yes	—
36	C₃×#525	C₂×C₃	1	2	yes	—
37	C₃×#485	C₂×C₃	1	2	yes	—
38	C₃×#482	C₂×C₃	1	2	yes	—
39	C₃×#467	C₂×C₃	1	1	yes	characteristic
40	C₃×#466	C₂×C₃	1	1	yes	characteristic
41	C₃×#465	C₂×C₃	1	2	yes	—
42	C₃×#452	C₂×C₃	1	2	yes	—
43	C₃×#449	C₂×C₃	1	2	yes	—
44	C₂×C₃×C₂²⋊C₈	C₂×C₃	1	1	yes	characteristic
45	C₂⁴×C₉	D₄	1	1	yes	characteristic
46	C₉×#41	—	4	2	no	—
47	C₉×#41	—	4	2	no	—
48	C₂×Q₈×C₉	C₂³	1	2	yes	—
49	C₂×D₄×C₉	—	2	2	no	—
50	C₂×D₄×C₉	—	2	2	no	—
51	C₂×D₄×C₉	—	2	2	no	—
52	C₂×D₄×C₉	C₂³	1	2	yes	—
53	C₂²×C₄×C₉	—	2	2	no	—
54	C₂²×C₄×C₉	—	4	1	no	—
55	C₂²×C₄×C₉	—	4	1	no	—
56	C₂²×C₄×C₉	D₄	1	1	yes	characteristic
57	C₂²×C₄×C₉	D₄	1	2	yes	—
58	C₂²×C₄×C₉	C₂³	1	2	yes	—
59	C₂²×C₄×C₉	C₂³	1	1	yes	characteristic
60	C₉×Q₁₆	—	4	1	no	—
61	C₉×SD₁₆	—	4	2	no	—
62	C₉×D₈	—	4	1	no	—
63	C₂×C₈×C₉	—	4	1	no	—
64	C₂×C₈×C₉	—	4	1	no	—
65	C₂×C₈×C₉	C₂³	1	1	yes	characteristic
66	C₂×C₈×C₉	C₂³	1	2	yes	—
67	C₂×C₈×C₉	C₂³	1	1	yes	characteristic
68	C₉×C₄⋊C₄	—	2	2	no	—
69	C₉×C₄⋊C₄	—	2	2	no	—
70	C₉×C₄⋊C₄	C₂³	1	2	yes	—
71	C₉×C₄⋊C₄	C₂³	1	2	yes	—
72	C₉×C₂²⋊C₄	—	2	2	no	—
73	C₉×C₂²⋊C₄	—	2	2	no	—
74	C₉×C₂²⋊C₄	—	2	2	no	—
75	C₉×C₂²⋊C₄	—	2	2	no	—
76	C₉×C₂²⋊C₄	—	2	2	no	—
77	C₄²×C₉	—	2	2	no	—
78	#3191	C₉	1	1	yes	characteristic, direct product factor, Sylow
79	C₂×C₃×#41	C₂²×C₃	1	2	yes	—
80	C₂³×C₃×C₄	C₂²×C₃	1	1	yes	characteristic
81	C₂×C₃×Q₁₆	C₂²×C₃	1	1	yes	characteristic
82	C₂×C₃×SD₁₆	C₂²×C₃	1	2	yes	—
83	C₂×C₃×D₈	C₂²×C₃	1	1	yes	characteristic
84	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
85	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
86	C₃×#123	—	2	2	no	—
87	C₃×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
88	C₃×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
89	C₃×#121	C₂²×C₃	1	2	yes	—
90	C₃×#121	C₂²×C₃	1	2	yes	—
91	C₃×#120	—	2	2	no	—
92	C₃×C₄×D₄	—	2	2	no	—
93	C₃×C₄×D₄	—	2	2	no	—
94	C₃×#117	C₂²×C₃	1	2	yes	—
95	C₃×#107	C₂²×C₃	1	1	yes	characteristic
96	C₃×#107	C₂²×C₃	1	1	yes	characteristic
97	C₃×#106	C₂²×C₃	1	2	yes	—
98	C₃×#103	C₂²×C₃	1	2	yes	—
99	C₃×#103	C₂²×C₃	1	2	yes	—
100	C₃×#102	C₂²×C₃	1	2	yes	—
101	C₃×#102	C₂²×C₃	1	2	yes	—
102	C₃×C₂²⋊C₈	C₂²×C₃	1	2	yes	—
103	C₃×C₂²⋊C₈	C₂²×C₃	1	2	yes	—
104	C₂³×C₉	—	2	2	no	—
105	C₂³×C₉	—	2	2	no	—
106	C₂³×C₉	—	4	1	no	—
107	C₂³×C₉	—	4	1	no	—
108	C₂³×C₉	C₂×D₄	1	2	yes	—
109	C₂³×C₉	C₂×D₄	1	1	yes	characteristic
110	Q₈×C₉	—	2	2	no	—
111	Q₈×C₉	—	2	2	no	—
112	D₄×C₉	—	2	2	no	—
113	D₄×C₉	—	2	2	no	—
114	D₄×C₉	—	4	4	no	—
115	D₄×C₉	—	4	4	no	—
116	D₄×C₉	—	4	4	no	—
117	C₂×C₄×C₉	—	2	1	no	—
118	C₂×C₄×C₉	—	2	1	no	—
119	C₂×C₄×C₉	—	2	2	no	—
120	C₂×C₄×C₉	—	2	2	no	—
121	C₂×C₄×C₉	—	2	2	no	—
122	C₂×C₄×C₉	—	2	2	no	—
123	C₂×C₄×C₉	—	2	2	no	—
124	C₂×C₄×C₉	—	4	1	no	—
125	C₂×C₄×C₉	—	4	2	no	—
126	C₂×C₄×C₉	—	4	4	no	—
127	C₂×C₄×C₉	C₂×D₄	1	2	yes	—
128	C₂×C₄×C₉	C₂×D₄	1	1	yes	characteristic
129	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
130	C₈×C₉	—	2	1	no	—
131	C₈×C₉	—	2	2	no	—
132	C₈×C₉	—	2	1	no	—
133	#525	C₂×C₉	1	2	yes	complemented
134	#485	C₂×C₉	1	2	yes	complemented
135	#482	C₂×C₉	1	2	yes	complemented
136	#467	C₂×C₉	1	1	yes	characteristic, complemented
137	#466	C₂×C₉	1	1	yes	characteristic, complemented
138	#465	C₂×C₉	1	2	yes	complemented
139	#452	C₂×C₉	1	2	yes	complemented
140	#449	C₂×C₉	1	2	yes	complemented
141	C₂×C₂²⋊C₈	C₂×C₉	1	1	yes	characteristic, complemented
142	C₂⁴×C₃	C₃×D₄	1	1	yes	characteristic
143	C₃×#41	—	4	2	no	—
144	C₃×#41	—	4	2	no	—
145	C₂×C₃×Q₈	C₂³×C₃	1	2	yes	—
146	C₂×C₃×D₄	—	2	2	no	—
147	C₂×C₃×D₄	—	2	2	no	—
148	C₂×C₃×D₄	—	2	2	no	—
149	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
150	C₂²×C₃×C₄	—	2	2	no	—
151	C₂²×C₃×C₄	—	4	1	no	—
152	C₂²×C₃×C₄	—	4	1	no	—
153	C₂²×C₃×C₄	C₃×D₄	1	1	yes	characteristic
154	C₂²×C₃×C₄	C₃×D₄	1	2	yes	—
155	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
156	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
157	C₃×Q₁₆	—	4	1	no	—
158	C₃×SD₁₆	—	4	2	no	—
159	C₃×D₈	—	4	1	no	—
160	C₂×C₃×C₈	—	4	1	no	—
161	C₂×C₃×C₈	—	4	1	no	—
162	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
163	C₂×C₃×C₈	C₂³×C₃	1	2	yes	—
164	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
165	C₃×C₄⋊C₄	—	2	2	no	—
166	C₃×C₄⋊C₄	—	2	2	no	—
167	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
168	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
169	C₃×C₂²⋊C₄	—	2	2	no	—
170	C₃×C₂²⋊C₄	—	2	2	no	—
171	C₃×C₂²⋊C₄	—	2	2	no	—
172	C₃×C₂²⋊C₄	—	2	2	no	—
173	C₃×C₂²⋊C₄	—	2	2	no	—
174	C₃×C₄²	—	2	2	no	—
175	C₂²×C₉	—	2	1	no	—
176	C₂²×C₉	—	2	1	no	—
177	C₂²×C₉	—	2	2	no	—
178	C₂²×C₉	—	2	2	no	—
179	C₂²×C₉	—	2	2	no	—
180	C₂²×C₉	—	4	4	no	—
181	C₂²×C₉	—	4	2	no	—
182	C₂²×C₉	—	4	2	no	—
183	C₂²×C₉	—	4	2	no	—
184	C₂²×C₉	#135	1	2	yes	—
185	C₂²×C₉	C₂²×D₄	1	1	yes	characteristic
186	C₄×C₉	—	2	2	no	—
187	C₄×C₉	—	2	1	no	—
188	C₄×C₉	—	4	2	no	—
189	C₄×C₉	—	4	2	no	—
190	C₄×C₉	—	4	2	no	—
191	C₄×C₉	H(5,𝔽₂)	1	1	yes	characteristic
192	C₄×C₉	H(5,𝔽₂)	1	1	yes	characteristic
193	C₂×#41	C₂²×C₉	1	2	yes	—
194	C₂³×C₄	C₂²×C₉	1	1	yes	characteristic
195	C₂×Q₁₆	C₂²×C₉	1	1	yes	characteristic, complemented
196	C₂×SD₁₆	C₂²×C₉	1	2	yes	complemented
197	C₂×D₈	C₂²×C₉	1	1	yes	characteristic, complemented
198	C₂²×C₈	C₂²×C₉	1	1	yes	characteristic
199	C₂²×C₈	C₂²×C₉	1	1	yes	characteristic
200	#123	—	2	2	no	—
201	C₂²⋊Q₈	C₂²×C₉	1	2	yes	—
202	C₂²⋊Q₈	C₂²×C₉	1	2	yes	—
203	#121	C₂²×C₉	1	2	yes	—
204	#121	C₂²×C₉	1	2	yes	—
205	#120	—	2	2	no	—
206	C₄×D₄	—	2	2	no	—
207	C₄×D₄	—	2	2	no	—
208	#117	C₂²×C₉	1	2	yes	—
209	#107	C₂²×C₉	1	1	yes	characteristic, complemented
210	#107	C₂²×C₉	1	1	yes	characteristic, complemented
211	#106	C₂²×C₉	1	2	yes	complemented
212	#103	C₂²×C₉	1	2	yes	complemented
213	#103	C₂²×C₉	1	2	yes	complemented
214	#102	C₂²×C₉	1	2	yes	complemented
215	#102	C₂²×C₉	1	2	yes	complemented
216	C₂²⋊C₈	C₂²×C₉	1	2	yes	—
217	C₂²⋊C₈	C₂²×C₉	1	2	yes	—
218	C₂³×C₃	—	2	2	no	—
219	C₂³×C₃	—	2	2	no	—
220	C₂³×C₃	—	4	1	no	—
221	C₂³×C₃	—	4	1	no	—
222	C₂³×C₃	C₂×C₃×D₄	1	2	yes	—
223	C₂³×C₃	C₂×C₃×D₄	1	1	yes	characteristic
224	C₃×Q₈	—	2	2	no	—
225	C₃×Q₈	—	2	2	no	—
226	C₃×D₄	—	2	2	no	—
227	C₃×D₄	—	2	2	no	—
228	C₃×D₄	—	4	4	no	—
229	C₃×D₄	—	4	4	no	—
230	C₃×D₄	—	4	4	no	—
231	C₂×C₃×C₄	—	2	1	no	—
232	C₂×C₃×C₄	—	2	1	no	—
233	C₂×C₃×C₄	—	2	2	no	—
234	C₂×C₃×C₄	—	2	2	no	—
235	C₂×C₃×C₄	—	2	2	no	—
236	C₂×C₃×C₄	—	2	2	no	—
237	C₂×C₃×C₄	—	2	2	no	—
238	C₂×C₃×C₄	—	4	1	no	—
239	C₂×C₃×C₄	—	4	2	no	—
240	C₂×C₃×C₄	—	4	4	no	—
241	C₂×C₃×C₄	C₂×C₃×D₄	1	2	yes	—
242	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
243	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
244	C₃×C₈	—	2	1	no	—
245	C₃×C₈	—	2	2	no	—
246	C₃×C₈	—	2	1	no	—
247	C₂×C₉	—	2	2	no	—
248	C₂×C₉	—	4	2	no	—
249	C₂×C₉	—	8	2	no	—
250	C₂×C₉	#534	1	1	yes	characteristic
251	C₂×C₉	C₂×#135	1	1	yes	characteristic
252	C₂×C₉	#575	1	1	yes	characteristic
253	C₂⁴	D₄×C₉	1	1	yes	characteristic
254	#41	—	4	2	no	—
255	#41	—	4	2	no	—
256	C₂×Q₈	C₂³×C₉	1	2	yes	—
257	C₂×D₄	—	2	2	no	—
258	C₂×D₄	—	2	2	no	—
259	C₂×D₄	—	2	2	no	—
260	C₂×D₄	C₂³×C₉	1	2	yes	—
261	C₂²×C₄	—	2	2	no	—
262	C₂²×C₄	—	4	1	no	—
263	C₂²×C₄	—	4	1	no	—
264	C₂²×C₄	D₄×C₉	1	1	yes	characteristic
265	C₂²×C₄	D₄×C₉	1	2	yes	—
266	C₂²×C₄	C₂³×C₉	1	2	yes	—
267	C₂²×C₄	C₂³×C₉	1	1	yes	characteristic
268	Q₁₆	—	4	1	no	—
269	SD₁₆	—	4	2	no	—
270	D₈	—	4	1	no	—
271	C₂×C₈	—	4	1	no	—
272	C₂×C₈	—	4	1	no	—
273	C₂×C₈	C₂³×C₉	1	1	yes	characteristic
274	C₂×C₈	C₂³×C₉	1	2	yes	—
275	C₂×C₈	C₂³×C₉	1	1	yes	characteristic
276	C₄⋊C₄	—	2	2	no	—
277	C₄⋊C₄	—	2	2	no	—
278	C₄⋊C₄	C₂³×C₉	1	2	yes	—
279	C₄⋊C₄	C₂³×C₉	1	2	yes	—
280	C₂²⋊C₄	—	2	2	no	—
281	C₂²⋊C₄	—	2	2	no	—
282	C₂²⋊C₄	—	2	2	no	—
283	C₂²⋊C₄	—	2	2	no	—
284	C₂²⋊C₄	—	2	2	no	—
285	C₄²	—	2	2	no	—
286	C₂²×C₃	—	2	1	no	—
287	C₂²×C₃	—	2	1	no	—
288	C₂²×C₃	—	2	2	no	—
289	C₂²×C₃	—	2	2	no	—
290	C₂²×C₃	—	2	2	no	—
291	C₂²×C₃	—	4	4	no	—
292	C₂²×C₃	—	4	2	no	—
293	C₂²×C₃	—	4	2	no	—
294	C₂²×C₃	—	4	2	no	—
295	C₂²×C₃	C₃×#135	1	2	yes	—
296	C₂²×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
297	C₃×C₄	—	2	2	no	—
298	C₃×C₄	—	2	1	no	—
299	C₃×C₄	—	4	2	no	—
300	C₃×C₄	—	4	2	no	—
301	C₃×C₄	—	4	2	no	—
302	C₃×C₄	C₃×H(5,𝔽₂)	1	1	yes	characteristic
303	C₃×C₄	C₃×H(5,𝔽₂)	1	1	yes	characteristic
304	C₉	#3191	1	1	yes	characteristic, direct product factor, Sylow
305	C₂³	—	2	2	no	—
306	C₂³	—	2	2	no	—
307	C₂³	—	4	1	no	—
308	C₂³	—	4	1	no	—
309	C₂³	C₂×D₄×C₉	1	2	yes	—
310	C₂³	C₂×D₄×C₉	1	1	yes	characteristic
311	Q₈	—	2	2	no	—
312	Q₈	—	2	2	no	—
313	D₄	—	2	2	no	—
314	D₄	—	2	2	no	—
315	D₄	—	4	4	no	—
316	D₄	—	4	4	no	—
317	D₄	—	4	4	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	4	1	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	—	4	4	no	—
328	C₂×C₄	C₂×D₄×C₉	1	2	yes	—
329	C₂×C₄	C₂×D₄×C₉	1	1	yes	characteristic
330	C₂×C₄	C₂⁴×C₉	1	1	yes	characteristic
331	C₈	—	2	1	no	—
332	C₈	—	2	2	no	—
333	C₈	—	2	1	no	—
334	C₂×C₃	—	2	2	no	—
335	C₂×C₃	—	4	2	no	—
336	C₂×C₃	—	8	2	no	—
337	C₂×C₃	C₃×#534	1	1	yes	characteristic
338	C₂×C₃	C₂×C₃×#135	1	1	yes	characteristic
339	C₂×C₃	C₃×#575	1	1	yes	characteristic
340	C₂²	—	2	1	no	—
341	C₂²	—	2	1	no	—
342	C₂²	—	2	2	no	—
343	C₂²	—	2	2	no	—
344	C₂²	—	2	2	no	—
345	C₂²	—	4	4	no	—
346	C₂²	—	4	2	no	—
347	C₂²	—	4	2	no	—
348	C₂²	—	4	2	no	—
349	C₂²	C₉×#135	1	2	yes	—
350	C₂²	C₂²×D₄×C₉	1	1	yes	characteristic
351	C₄	—	2	2	no	—
352	C₄	—	2	1	no	—
353	C₄	—	4	2	no	—
354	C₄	—	4	2	no	—
355	C₄	—	4	2	no	—
356	C₄	C₉×H(5,𝔽₂)	1	1	yes	characteristic
357	C₄	C₉×H(5,𝔽₂)	1	1	yes	characteristic
358	C₃	C₃×#3191	1	1	yes	characteristic
359	C₂	—	2	2	no	—
360	C₂	—	4	2	no	—
361	C₂	—	8	2	no	—
362	C₂	C₉×#534	1	1	yes	characteristic
363	C₂	C₂×C₉×#135	1	1	yes	characteristic
364	C₂	C₉×#575	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₉	C₂²×D₄
commutator	C₂×C₄	C₂⁴×C₉
Frattini, cosocle	C₂×C₃×C₄	C₂⁴×C₃
socle	C₂²×C₃	C₂²×C₃×D₄
prime radical	C₃×#3191	C₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₉ ◁ C₂³×C₄×C₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₉×#525	C₂	semidirect
2. C₉×#485	C₂	semidirect
3. C₉×#482	C₂	semidirect
4. C₉×#467	C₂	semidirect
5. C₉×#466	C₂	semidirect
6. C₉×#465	C₂	semidirect
7. C₉×#452	C₂	semidirect
8. C₉×#449	C₂	semidirect
9. C₂×C₉×C₂²⋊C₈	C₂	semidirect
13. C₂×C₉×Q₁₆	C₂²	semidirect
14. C₂×C₉×SD₁₆	C₂²	semidirect
15. C₂×C₉×D₈	C₂²	semidirect
27. C₉×#107	C₂²	semidirect
28. C₉×#107	C₂²	semidirect
29. C₉×#106	C₂²	semidirect
30. C₉×#103	C₂²	semidirect
31. C₉×#103	C₂²	semidirect
32. C₉×#102	C₂²	semidirect
33. C₉×#102	C₂²	semidirect
78. #3191	C₉	direct (N × H)
133. #525	C₂×C₉	semidirect
134. #485	C₂×C₉	semidirect
135. #482	C₂×C₉	semidirect
136. #467	C₂×C₉	semidirect
137. #466	C₂×C₉	semidirect
138. #465	C₂×C₉	semidirect
139. #452	C₂×C₉	semidirect
140. #449	C₂×C₉	semidirect
141. C₂×C₂²⋊C₈	C₂×C₉	semidirect
195. C₂×Q₁₆	C₂²×C₉	semidirect
196. C₂×SD₁₆	C₂²×C₉	semidirect
197. C₂×D₈	C₂²×C₉	semidirect
209. #107	C₂²×C₉	semidirect
210. #107	C₂²×C₉	semidirect
211. #106	C₂²×C₉	semidirect
212. #103	C₂²×C₉	semidirect
213. #103	C₂²×C₉	semidirect
214. #102	C₂²×C₉	semidirect
215. #102	C₂²×C₉	semidirect
304. C₉	#3191	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×#525	2
C₉×#485	2
C₉×#482	2
C₉×#467	2
C₉×#466	2
C₉×#465	2
C₉×#452	2
C₉×#449	2
C₂×C₉×C₂²⋊C₈	2
C₃×#3191	3

Subgroups — C9×#3191 #11767912

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#3191 #11767912