Subgroups — C₉×#4809 #13141887

Order 1728.

486 conjugacy classes of subgroups.

The subgroup lattice has 386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₃×Q₈×C₉	C₂	1	1	yes	maximal, characteristic
2	C₂×C₉×#216	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₉×Dic₁₂	C₂	1	1	yes	maximal, characteristic, complemented
4	C₉×#897	C₂	1	1	yes	maximal, characteristic
5	C₃×C₉×#103	C₂	1	1	yes	maximal, characteristic, complemented
6	C₉×(C₂×D₃)⋊C₈	C₂	1	1	yes	maximal, characteristic
7	C₉×#810	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#4809	C₃	1	1	yes	maximal, characteristic
9	C₉×#451	—	3	1	no	maximal
10	C₂×C₃×Q₈×C₉	C₂²	1	1	yes	characteristic
11	D₃×Q₈×C₉	—	2	2	no	—
12	D₃×Q₈×C₉	—	2	2	no	—
13	C₂×C₄×D₃×C₉	—	2	1	no	—
14	C₂×C₄×D₃×C₉	C₂²	1	1	yes	characteristic
15	C₂×C₉×Dic₆	—	2	1	no	—
16	C₂×C₉×Dic₆	C₂²	1	1	yes	characteristic
17	C₂×C₉×Dic₆	C₂²	1	1	yes	characteristic
18	C₂×C₃×C₈×C₉	C₂²	1	1	yes	characteristic
19	C₃×C₉×C₄⋊C₄	C₂²	1	1	yes	characteristic
20	C₉×#216	—	2	2	no	—
21	C₉×(C₂×D₃)⋊C₄	—	2	1	no	—
22	C₉×C₄⋊Dic₃	—	2	1	no	—
23	C₂×C₉×C₃⋊C₈	C₂²	1	1	yes	characteristic
24	C₉×Dic₁₂	—	2	2	no	—
25	C₂×C₃×D₃×Q₈	C₂×C₃	1	1	yes	characteristic
26	C₂×C₃×#216	C₂×C₃	1	1	yes	characteristic
27	C₂×C₃×Dic₁₂	C₂×C₃	1	1	yes	characteristic
28	C₃×#897	C₂×C₃	1	1	yes	characteristic
29	C₂²×Q₈×C₉	—	3	1	no	—
30	C₃²×#103	C₂×C₃	1	1	yes	characteristic
31	C₃×(C₂×D₃)⋊C₈	C₂×C₃	1	1	yes	characteristic
32	C₃×#810	C₂×C₃	1	1	yes	characteristic
33	C₂×C₉×Q₁₆	—	3	1	no	—
34	C₂×C₉×Q₁₆	—	3	1	no	—
35	C₉×C₂²⋊Q₈	—	3	1	no	—
36	C₉×#103	—	2	1	no	—
37	C₉×#103	—	3	1	no	—
38	C₉×#103	D₃	1	1	yes	characteristic, complemented
39	C₉×C₂²⋊C₈	—	3	1	no	—
40	C₂²×D₃×C₉	D₄	1	1	yes	characteristic
41	C₃×Q₈×C₉	—	2	1	no	—
42	C₃×Q₈×C₉	D₄	1	2	yes	—
43	C₂×C₃×C₄×C₉	—	2	1	no	—
44	C₂×C₃×C₄×C₉	—	2	1	no	—
45	C₂×C₃×C₄×C₉	C₂³	1	1	yes	characteristic
46	C₂×C₉×Dic₃	—	2	1	no	—
47	C₂×C₉×Dic₃	—	2	1	no	—
48	C₂×C₉×Dic₃	D₄	1	1	yes	characteristic
49	C₄×D₃×C₉	—	2	4	no	—
50	C₄×D₃×C₉	—	2	1	no	—
51	C₄×D₃×C₉	—	2	1	no	—
52	C₉×Dic₆	—	2	4	no	—
53	C₉×Dic₆	—	2	1	no	—
54	C₉×Dic₆	—	2	1	no	—
55	C₉×Dic₆	—	2	1	no	—
56	C₉×Dic₆	D₄	1	2	yes	—
57	C₃×C₈×C₉	—	2	1	no	—
58	C₉×C₃⋊C₈	—	2	1	no	—
59	C₃×#451	—	3	1	no	—
60	#4809	C₉	1	1	yes	characteristic, direct product factor
61	C₂×C₃²×Q₈	C₂²×C₃	1	1	yes	characteristic
62	C₃×D₃×Q₈	—	2	2	no	—
63	C₃×D₃×Q₈	—	2	2	no	—
64	C₂×C₃×C₄×D₃	—	2	1	no	—
65	C₂×C₃×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
66	C₂×C₃×Dic₆	—	2	1	no	—
67	C₂×C₃×Dic₆	C₂²×C₃	1	1	yes	characteristic
68	C₂×C₃×Dic₆	C₂²×C₃	1	1	yes	characteristic
69	C₂×C₃²×C₈	C₂²×C₃	1	1	yes	characteristic
70	C₃²×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
71	C₃×#216	—	2	2	no	—
72	C₃×(C₂×D₃)⋊C₄	—	2	1	no	—
73	C₃×C₄⋊Dic₃	—	2	1	no	—
74	C₂×C₃×C₃⋊C₈	C₂²×C₃	1	1	yes	characteristic
75	C₃×Dic₁₂	—	2	2	no	—
76	C₂×Q₈×C₉	—	2	1	no	—
77	C₂×Q₈×C₉	—	3	1	no	—
78	C₂×Q₈×C₉	—	3	1	no	—
79	C₂×Q₈×C₉	—	6	1	no	—
80	C₂×Q₈×C₉	—	6	2	no	—
81	C₂×Q₈×C₉	—	6	2	no	—
82	C₂×Q₈×C₉	C₂×D₃	1	1	yes	characteristic
83	C₂²×C₄×C₉	—	3	1	no	—
84	C₂²×C₄×C₉	—	6	1	no	—
85	C₉×Q₁₆	—	6	2	no	—
86	C₉×Q₁₆	—	6	2	no	—
87	C₂×C₈×C₉	—	2	1	no	—
88	C₂×C₈×C₉	—	3	1	no	—
89	C₂×C₈×C₉	C₂×D₃	1	1	yes	characteristic
90	C₉×C₄⋊C₄	—	2	1	no	—
91	C₉×C₄⋊C₄	—	6	1	no	—
92	C₉×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
93	C₉×C₂²⋊C₄	—	6	1	no	—
94	C₂²×C₃×C₉	C₂×D₄	1	1	yes	characteristic
95	C₂×D₃×C₉	—	2	1	no	—
96	C₂×D₃×C₉	—	2	1	no	—
97	C₂×D₃×C₉	Q₁₆	1	2	yes	complemented
98	C₃×C₄×C₉	—	2	2	no	—
99	C₃×C₄×C₉	—	4	1	no	—
100	C₃×C₄×C₉	C₂×D₄	1	1	yes	characteristic
101	C₃×C₄×C₉	C₂×D₄	1	1	yes	characteristic
102	C₉×Dic₃	—	2	1	no	—
103	C₉×Dic₃	—	2	2	no	—
104	C₉×Dic₃	—	4	1	no	—
105	C₂²×C₃×Q₈	—	3	1	no	—
106	C₂×D₃×Q₈	C₂×C₉	1	1	yes	characteristic
107	C₂×C₃×Q₁₆	—	3	1	no	—
108	C₂×C₃×Q₁₆	—	3	1	no	—
109	C₃×C₂²⋊Q₈	—	3	1	no	—
110	C₂×#216	C₂×C₉	1	1	yes	characteristic, complemented
111	C₂×Dic₁₂	C₂×C₉	1	1	yes	characteristic, complemented
112	#897	C₂×C₉	1	1	yes	characteristic
113	C₃×#103	—	2	1	no	—
114	C₃×#103	—	3	1	no	—
115	C₃×#103	C₂×C₉	1	1	yes	characteristic, complemented
116	C₃×#103	C₃×D₃	1	1	yes	characteristic
117	C₃×C₂²⋊C₈	—	3	1	no	—
118	(C₂×D₃)⋊C₈	C₂×C₉	1	1	yes	characteristic
119	#810	C₂×C₉	1	1	yes	characteristic, complemented
120	C₂²×C₃×D₃	C₃×D₄	1	1	yes	characteristic
121	C₃²×Q₈	—	2	1	no	—
122	C₃²×Q₈	C₃×D₄	1	2	yes	—
123	C₂×C₃²×C₄	—	2	1	no	—
124	C₂×C₃²×C₄	—	2	1	no	—
125	C₂×C₃²×C₄	C₂³×C₃	1	1	yes	characteristic
126	C₂×C₃×Dic₃	—	2	1	no	—
127	C₂×C₃×Dic₃	—	2	1	no	—
128	C₂×C₃×Dic₃	C₃×D₄	1	1	yes	characteristic
129	C₃×C₄×D₃	—	2	4	no	—
130	C₃×C₄×D₃	—	2	1	no	—
131	C₃×C₄×D₃	—	2	1	no	—
132	C₃×Dic₆	—	2	4	no	—
133	C₃×Dic₆	—	2	1	no	—
134	C₃×Dic₆	—	2	1	no	—
135	C₃×Dic₆	—	2	1	no	—
136	C₃×Dic₆	C₃×D₄	1	2	yes	—
137	C₂³×C₉	—	3	1	no	—
138	C₃²×C₈	—	2	1	no	—
139	C₃×C₃⋊C₈	—	2	1	no	—
140	Q₈×C₉	—	2	1	no	—
141	Q₈×C₉	—	2	2	no	—
142	Q₈×C₉	—	3	2	no	—
143	Q₈×C₉	—	4	1	no	—
144	Q₈×C₉	—	6	4	no	—
145	Q₈×C₉	—	6	1	no	—
146	Q₈×C₉	—	6	1	no	—
147	Q₈×C₉	—	6	1	no	—
148	Q₈×C₉	D₁₂	1	2	yes	—
149	C₂×C₄×C₉	—	2	1	no	—
150	C₂×C₄×C₉	—	2	1	no	—
151	C₂×C₄×C₉	—	2	1	no	—
152	C₂×C₄×C₉	—	3	1	no	—
153	C₂×C₄×C₉	—	4	1	no	—
154	C₂×C₄×C₉	—	4	1	no	—
155	C₂×C₄×C₉	—	6	4	no	—
156	C₂×C₄×C₉	—	6	1	no	—
157	C₂×C₄×C₉	—	6	1	no	—
158	C₂×C₄×C₉	—	6	1	no	—
159	C₂×C₄×C₉	—	6	1	no	—
160	C₂×C₄×C₉	C₂²×D₃	1	1	yes	characteristic
161	C₈×C₉	—	2	1	no	—
162	C₈×C₉	—	4	1	no	—
163	C₈×C₉	—	6	1	no	—
164	#451	—	3	1	no	Sylow
165	C₂×C₃×C₉	#120	1	1	yes	characteristic
166	C₂×C₃×C₉	C₂×Q₁₆	1	1	yes	characteristic
167	C₂×C₃×C₉	#137	1	1	yes	characteristic
168	D₃×C₉	—	2	2	no	—
169	C₂×C₃×Q₈	—	2	1	no	—
170	C₂×C₃×Q₈	—	3	1	no	—
171	C₂×C₃×Q₈	—	3	1	no	—
172	C₂×C₃×Q₈	—	6	1	no	—
173	C₂×C₃×Q₈	—	6	2	no	—
174	C₂×C₃×Q₈	—	6	2	no	—
175	C₂×C₃×Q₈	C₂²×C₉	1	1	yes	characteristic
176	C₂×C₃×Q₈	C₂×C₃×D₃	1	1	yes	characteristic
177	C₂²×C₃×C₄	—	3	1	no	—
178	C₂²×C₃×C₄	—	6	1	no	—
179	D₃×Q₈	—	2	2	no	—
180	D₃×Q₈	—	2	2	no	—
181	C₂×C₄×D₃	—	2	1	no	—
182	C₂×C₄×D₃	C₂²×C₉	1	1	yes	characteristic
183	C₂×Dic₆	—	2	1	no	—
184	C₂×Dic₆	C₂²×C₉	1	1	yes	characteristic
185	C₂×Dic₆	C₂²×C₉	1	1	yes	characteristic
186	C₃×Q₁₆	—	6	2	no	—
187	C₃×Q₁₆	—	6	2	no	—
188	C₂×C₃×C₈	—	2	1	no	—
189	C₂×C₃×C₈	—	3	1	no	—
190	C₂×C₃×C₈	C₂²×C₉	1	1	yes	characteristic
191	C₂×C₃×C₈	C₂×C₃×D₃	1	1	yes	characteristic
192	C₃×C₄⋊C₄	—	2	1	no	—
193	C₃×C₄⋊C₄	—	6	1	no	—
194	C₃×C₄⋊C₄	C₂²×C₉	1	1	yes	characteristic
195	C₃×C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic
196	C₃×C₂²⋊C₄	—	6	1	no	—
197	#216	—	2	2	no	—
198	(C₂×D₃)⋊C₄	—	2	1	no	—
199	C₄⋊Dic₃	—	2	1	no	—
200	C₂×C₃⋊C₈	C₂²×C₉	1	1	yes	characteristic
201	Dic₁₂	—	2	2	no	—
202	C₂²×C₃²	C₂×C₃×D₄	1	1	yes	characteristic
203	C₂×C₃×D₃	—	2	1	no	—
204	C₂×C₃×D₃	—	2	1	no	—
205	C₂×C₃×D₃	C₃×Q₁₆	1	2	yes	—
206	C₃²×C₄	—	2	2	no	—
207	C₃²×C₄	—	4	1	no	—
208	C₃²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
209	C₃²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
210	C₃×Dic₃	—	2	1	no	—
211	C₃×Dic₃	—	2	2	no	—
212	C₃×Dic₃	—	4	1	no	—
213	C₂²×C₉	—	2	1	no	—
214	C₂²×C₉	—	3	2	no	—
215	C₂²×C₉	—	6	1	no	—
216	C₂²×C₉	—	6	1	no	—
217	C₂²×C₉	D₃×D₄	1	1	yes	characteristic
218	C₄×C₉	—	2	2	no	—
219	C₄×C₉	—	2	1	no	—
220	C₄×C₉	—	2	1	no	—
221	C₄×C₉	—	4	2	no	—
222	C₄×C₉	—	4	1	no	—
223	C₄×C₉	—	6	1	no	—
224	C₄×C₉	—	6	2	no	—
225	C₄×C₉	—	8	1	no	—
226	C₄×C₉	—	12	1	no	—
227	C₄×C₉	C₂×D₁₂	1	1	yes	characteristic
228	C₄×C₉	D₃×D₄	1	1	yes	characteristic
229	C₂²×Q₈	—	3	1	no	—
230	C₂×Q₁₆	—	3	1	no	—
231	C₂×Q₁₆	—	3	1	no	—
232	C₂²⋊Q₈	—	3	1	no	—
233	#103	—	3	1	no	—
234	#103	D₃×C₉	1	1	yes	characteristic, complemented
235	C₂²⋊C₈	—	3	1	no	—
236	C₃×C₉	#451	1	1	yes	characteristic, complemented, Sylow
237	C₂³×C₃	—	3	1	no	—
238	C₂²×D₃	D₄×C₉	1	1	yes	characteristic
239	C₃×Q₈	—	2	1	no	—
240	C₃×Q₈	—	2	1	no	—
241	C₃×Q₈	—	2	2	no	—
242	C₃×Q₈	—	3	2	no	—
243	C₃×Q₈	—	4	1	no	—
244	C₃×Q₈	—	6	4	no	—
245	C₃×Q₈	—	6	1	no	—
246	C₃×Q₈	—	6	1	no	—
247	C₃×Q₈	—	6	1	no	—
248	C₃×Q₈	D₄×C₉	1	2	yes	—
249	C₃×Q₈	C₃×D₁₂	1	2	yes	—
250	C₂×C₃×C₄	—	2	1	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	—	2	1	no	—
255	C₂×C₃×C₄	—	3	1	no	—
256	C₂×C₃×C₄	—	4	1	no	—
257	C₂×C₃×C₄	—	4	1	no	—
258	C₂×C₃×C₄	—	6	4	no	—
259	C₂×C₃×C₄	—	6	1	no	—
260	C₂×C₃×C₄	—	6	1	no	—
261	C₂×C₃×C₄	—	6	1	no	—
262	C₂×C₃×C₄	—	6	1	no	—
263	C₂×C₃×C₄	C₂³×C₉	1	1	yes	characteristic
264	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
265	C₂×Dic₃	—	2	1	no	—
266	C₂×Dic₃	—	2	1	no	—
267	C₂×Dic₃	D₄×C₉	1	1	yes	characteristic
268	C₄×D₃	—	2	4	no	—
269	C₄×D₃	—	2	1	no	—
270	C₄×D₃	—	2	1	no	—
271	Dic₆	—	2	4	no	—
272	Dic₆	—	2	1	no	—
273	Dic₆	—	2	1	no	—
274	Dic₆	—	2	1	no	—
275	Dic₆	D₄×C₉	1	2	yes	—
276	C₃×C₈	—	2	1	no	—
277	C₃×C₈	—	2	1	no	—
278	C₃×C₈	—	4	1	no	—
279	C₃×C₈	—	6	1	no	—
280	C₃⋊C₈	—	2	1	no	—
281	C₂×C₃²	C₃×#120	1	1	yes	characteristic
282	C₂×C₃²	C₂×C₃×Q₁₆	1	1	yes	characteristic
283	C₂×C₃²	C₃×#137	1	1	yes	characteristic
284	C₃×D₃	—	2	2	no	—
285	C₂×C₉	—	2	1	no	—
286	C₂×C₉	—	2	1	no	—
287	C₂×C₉	—	2	1	no	—
288	C₂×C₉	—	6	2	no	—
289	C₂×C₉	#882	1	1	yes	characteristic
290	C₂×C₉	#915	1	1	yes	characteristic
291	C₂×C₉	D₃×Q₁₆	1	1	yes	characteristic
292	C₂×Q₈	—	3	1	no	—
293	C₂×Q₈	—	3	1	no	—
294	C₂×Q₈	—	6	1	no	—
295	C₂×Q₈	—	6	2	no	—
296	C₂×Q₈	—	6	2	no	—
297	C₂×Q₈	C₂×D₃×C₉	1	1	yes	characteristic
298	C₂²×C₄	—	3	1	no	—
299	C₂²×C₄	—	6	1	no	—
300	Q₁₆	—	6	2	no	—
301	Q₁₆	—	6	2	no	—
302	C₂×C₈	—	3	1	no	—
303	C₂×C₈	C₂×D₃×C₉	1	1	yes	characteristic
304	C₄⋊C₄	—	6	1	no	—
305	C₄⋊C₄	C₂×D₃×C₉	1	1	yes	characteristic
306	C₂²⋊C₄	—	6	1	no	—
307	C₂²×C₃	—	2	1	no	—
308	C₂²×C₃	—	3	2	no	—
309	C₂²×C₃	—	6	1	no	—
310	C₂²×C₃	—	6	1	no	—
311	C₂²×C₃	C₂×D₄×C₉	1	1	yes	characteristic
312	C₂²×C₃	C₃×D₃×D₄	1	1	yes	characteristic
313	C₂×D₃	—	2	1	no	—
314	C₂×D₃	—	2	1	no	—
315	C₂×D₃	C₉×Q₁₆	1	2	yes	complemented
316	C₃×C₄	—	2	2	no	—
317	C₃×C₄	—	2	2	no	—
318	C₃×C₄	—	2	1	no	—
319	C₃×C₄	—	2	1	no	—
320	C₃×C₄	—	4	2	no	—
321	C₃×C₄	—	4	1	no	—
322	C₃×C₄	—	4	1	no	—
323	C₃×C₄	—	6	1	no	—
324	C₃×C₄	—	6	2	no	—
325	C₃×C₄	—	8	1	no	—
326	C₃×C₄	—	12	1	no	—
327	C₃×C₄	C₂×D₄×C₉	1	1	yes	characteristic
328	C₃×C₄	C₂×D₄×C₉	1	1	yes	characteristic
329	C₃×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
330	C₃×C₄	C₃×D₃×D₄	1	1	yes	characteristic
331	Dic₃	—	2	1	no	—
332	Dic₃	—	2	2	no	—
333	Dic₃	—	4	1	no	—
334	C₃²	C₃×#451	1	1	yes	characteristic
335	C₉	—	2	1	no	—
336	C₉	#4809	1	1	yes	characteristic, direct product factor
337	C₂³	—	3	1	no	—
338	Q₈	—	2	1	no	—
339	Q₈	—	3	2	no	—
340	Q₈	—	6	4	no	—
341	Q₈	—	6	1	no	—
342	Q₈	—	6	1	no	—
343	Q₈	—	6	1	no	—
344	Q₈	C₉×D₁₂	1	2	yes	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	1	no	—
347	C₂×C₄	—	3	1	no	—
348	C₂×C₄	—	6	4	no	—
349	C₂×C₄	—	6	1	no	—
350	C₂×C₄	—	6	1	no	—
351	C₂×C₄	—	6	1	no	—
352	C₂×C₄	—	6	1	no	—
353	C₂×C₄	C₂²×D₃×C₉	1	1	yes	characteristic
354	C₈	—	2	1	no	—
355	C₈	—	6	1	no	—
356	C₂×C₃	—	2	1	no	—
357	C₂×C₃	—	2	1	no	—
358	C₂×C₃	—	2	1	no	—
359	C₂×C₃	—	6	2	no	—
360	C₂×C₃	C₉×#120	1	1	yes	characteristic
361	C₂×C₃	C₂×C₉×Q₁₆	1	1	yes	characteristic
362	C₂×C₃	C₉×#137	1	1	yes	characteristic
363	C₂×C₃	C₃×#882	1	1	yes	characteristic
364	C₂×C₃	C₃×#915	1	1	yes	characteristic
365	C₂×C₃	C₃×D₃×Q₁₆	1	1	yes	characteristic
366	D₃	—	2	2	no	—
367	C₂²	—	3	2	no	—
368	C₂²	—	6	1	no	—
369	C₂²	—	6	1	no	—
370	C₂²	D₃×D₄×C₉	1	1	yes	characteristic
371	C₄	—	2	2	no	—
372	C₄	—	4	1	no	—
373	C₄	—	6	1	no	—
374	C₄	—	6	2	no	—
375	C₄	—	12	1	no	—
376	C₄	C₂×C₉×D₁₂	1	1	yes	characteristic
377	C₄	D₃×D₄×C₉	1	1	yes	characteristic
378	C₃	—	2	1	no	—
379	C₃	C₉×#451	1	1	yes	characteristic, complemented
380	C₃	C₃×#4809	1	1	yes	characteristic
381	C₂	—	6	2	no	—
382	C₂	C₉×#882	1	1	yes	characteristic
383	C₂	C₉×#915	1	1	yes	characteristic
384	C₂	D₃×C₉×Q₁₆	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	C₃×C₉×#103	C₂
socle	C₂²×C₃²	C₂×C₃×D₄
prime radical	C₂²×C₃×D₃	C₃×D₄
cosocle	C₂×C₃²×C₄	C₂³×C₃
hypercenter	C₉×#103	D₃
hypocenter	C₃	C₉×#451
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₉ ◁ C₂×C₄×C₉ ◁ C₉×#103

Complements

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

N	H ≅ G/N	type
2. C₂×C₉×#216	C₂	semidirect
3. C₂×C₉×Dic₁₂	C₂	semidirect
5. C₃×C₉×#103	C₂	semidirect
7. C₉×#810	C₂	semidirect
38. C₉×#103	D₃	semidirect
60. #4809	C₉	direct (N × H)
97. C₂×D₃×C₉	Q₁₆	semidirect
110. C₂×#216	C₂×C₉	semidirect
111. C₂×Dic₁₂	C₂×C₉	semidirect
115. C₃×#103	C₂×C₉	semidirect
119. #810	C₂×C₉	semidirect
234. #103	D₃×C₉	semidirect
236. C₃×C₉	#451	semidirect
315. C₂×D₃	C₉×Q₁₆	semidirect
336. C₉	#4809	direct (N × H)
379. C₃	C₉×#451	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₃×Q₈×C₉	2
C₂×C₉×#216	2
C₂×C₉×Dic₁₂	2
C₉×#897	2
C₃×C₉×#103	2
C₉×(C₂×D₃)⋊C₈	2
C₉×#810	2
C₃×#4809	3
C₉×#451	3

Subgroups — C9×#4809 #13141887

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₉×#4809 #13141887