Subgroups — #13139563

Order 1728.

690 conjugacy classes of subgroups.

The subgroup lattice has 372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄×C₃⋊Dic₉	C₂	1	1	yes	maximal, characteristic
2	C₂×C₉×C₄⋊Dic₃	C₂	1	1	yes	maximal, characteristic
3	C₂×C₃×C₄⋊Dic₉	C₂	1	1	yes	maximal, characteristic
4	C₂×Dic₃×Dic₉	C₂	1	2	yes	maximal
5	#11720331	C₂	1	2	yes	maximal
6	#10591274	—	3	1	no	maximal
7	C₄⋊C₄×Dic₉	—	3	1	no	maximal
8	C₂²×C₃×C₄×C₉	C₂²	1	1	yes	characteristic
9	C₂²×C₃⋊Dic₉	C₂²	1	1	yes	characteristic
10	C₂²×C₃⋊Dic₉	C₂²	1	1	yes	characteristic
11	C₂²×C₉×Dic₃	C₂²	1	2	yes	—
12	C₂²×C₃×Dic₉	C₂²	1	2	yes	—
13	C₄×C₃⋊Dic₉	C₄	1	4	yes	complemented
14	C₉×C₄⋊Dic₃	C₄	1	4	yes	complemented
15	C₃×C₄⋊Dic₉	C₄	1	4	yes	complemented
16	Dic₃×Dic₉	—	2	4	no	—
17	C₂×C₄×C₃⋊Dic₃	—	3	1	no	—
18	C₂×C₃×C₄⋊Dic₃	—	3	1	no	—
19	C₂×C₃×C₄⋊Dic₃	D₃	1	1	yes	characteristic
20	C₂×Dic₃²	—	3	2	no	—
21	#63579	—	3	2	no	—
22	C₂×C₉×C₄⋊C₄	—	3	1	no	—
23	C₂×C₄⋊Dic₉	D₃	1	1	yes	characteristic
24	C₂×C₄×Dic₉	—	3	1	no	—
25	C₂×C₄×Dic₉	—	3	2	no	—
26	C₂×C₄×Dic₉	—	6	1	no	—
27	C₉⋊#95	—	3	2	no	—
28	C₂³×C₃×C₉	C₂³	1	1	yes	characteristic
29	C₂×C₃×C₄×C₉	C₂×C₄	1	2	yes	—
30	C₂×C₃×C₄×C₉	C₂×C₄	1	2	yes	—
31	C₂×C₃×C₄×C₉	C₂×C₄	1	2	yes	—
32	C₂×C₃⋊Dic₉	—	2	1	no	—
33	C₂×C₃⋊Dic₉	—	2	1	no	—
34	C₂×C₃⋊Dic₉	C₂×C₄	1	2	yes	—
35	C₂×C₃⋊Dic₉	C₂×C₄	1	2	yes	—
36	C₂×C₃⋊Dic₉	D₄	1	2	yes	—
37	C₂×C₃⋊Dic₉	Q₈	1	2	yes	—
38	C₂×C₉×Dic₃	—	2	2	no	—
39	C₂×C₉×Dic₃	—	2	2	no	—
40	C₂×C₉×Dic₃	C₂×C₄	1	4	yes	—
41	C₂×C₃×Dic₉	—	2	2	no	—
42	C₂×C₃×Dic₉	—	2	2	no	—
43	C₂×C₃×Dic₉	C₂×C₄	1	4	yes	—
44	Dic₃×C₄⋊C₄	—	9	1	no	—
45	Dic₃×C₄⋊C₄	—	9	1	no	—
46	C₂²×C₃²×C₄	C₂×D₃	1	1	yes	characteristic
47	C₂²×C₃⋊Dic₃	—	3	1	no	—
48	C₂²×C₃⋊Dic₃	—	3	1	no	—
49	C₂²×C₃×Dic₃	—	3	2	no	—
50	C₂²×C₃×Dic₃	C₂×D₃	1	2	yes	—
51	C₄×C₃⋊Dic₃	—	3	4	no	—
52	C₃×C₄⋊Dic₃	—	3	4	no	—
53	C₃×C₄⋊Dic₃	Dic₃	1	4	yes	—
54	Dic₃²	—	6	4	no	—
55	C₂²×C₄×C₉	—	2	1	no	—
56	C₂²×C₄×C₉	—	3	2	no	—
57	C₂²×C₄×C₉	C₂×D₃	1	1	yes	characteristic
58	C₂²×Dic₉	—	3	1	no	—
59	C₂²×Dic₉	—	3	1	no	—
60	C₂²×Dic₉	—	6	1	no	—
61	C₂²×Dic₉	—	6	1	no	—
62	C₂²×Dic₉	C₂×D₃	1	2	yes	—
63	C₉×C₄⋊C₄	—	3	4	no	—
64	C₄⋊Dic₉	Dic₃	1	4	yes	complemented
65	C₄×Dic₉	—	3	4	no	—
66	C₄×Dic₉	—	6	4	no	—
67	C₄×Dic₉	—	6	4	no	—
68	C₂²×C₃×C₉	C₂²×C₄	1	1	yes	characteristic
69	C₂²×C₃×C₉	C₂²×C₄	1	1	yes	characteristic
70	C₂²×C₃×C₉	C₂²×C₄	1	1	yes	characteristic
71	C₂²×C₃×C₉	C₂×D₄	1	1	yes	characteristic
72	C₂²×C₃×C₉	C₂×Q₈	1	1	yes	characteristic
73	C₂²×C₃×C₉	#41	1	1	yes	characteristic
74	C₂²×C₃×C₉	#41	1	1	yes	characteristic
75	C₃×C₄×C₉	C₄²	1	4	yes	complemented
76	C₃⋊Dic₉	—	2	2	no	—
77	C₃⋊Dic₉	C₄⋊C₄	1	4	yes	complemented
78	C₉×Dic₃	—	2	4	no	—
79	C₃×Dic₉	—	2	4	no	—
80	C₂×C₃×C₄⋊C₄	—	3	1	no	—
81	C₂×C₃×C₄⋊C₄	—	9	1	no	—
82	C₂×C₄⋊Dic₃	—	3	1	no	—
83	C₂×C₄⋊Dic₃	D₉	1	1	yes	characteristic
84	C₂×C₄×Dic₃	—	9	1	no	—
85	C₂×C₄×Dic₃	—	9	1	no	—
86	C₂×C₄×Dic₃	—	9	2	no	—
87	C₂×C₄×Dic₃	—	9	2	no	—
88	C₂×C₄×Dic₃	—	18	1	no	—
89	C₃⋊#95	—	9	2	no	—
90	C₃⋊#95	—	9	2	no	—
91	C₂³×C₃²	C₂²×D₃	1	1	yes	characteristic
92	C₂×C₃²×C₄	C₄×D₃	1	2	yes	—
93	C₂×C₃²×C₄	C₄×D₃	1	2	yes	—
94	C₂×C₃²×C₄	C₂×Dic₃	1	2	yes	—
95	C₂×C₃⋊Dic₃	—	3	2	no	—
96	C₂×C₃⋊Dic₃	—	3	2	no	—
97	C₂×C₃⋊Dic₃	—	3	2	no	—
98	C₂×C₃⋊Dic₃	—	3	2	no	—
99	C₂×C₃⋊Dic₃	—	6	1	no	—
100	C₂×C₃⋊Dic₃	—	6	1	no	—
101	C₂×C₃×Dic₃	—	2	2	no	—
102	C₂×C₃×Dic₃	—	2	2	no	—
103	C₂×C₃×Dic₃	—	3	4	no	—
104	C₂×C₃×Dic₃	—	6	2	no	—
105	C₂×C₃×Dic₃	—	6	2	no	—
106	C₂×C₃×Dic₃	C₂×Dic₃	1	4	yes	—
107	C₂³×C₉	—	2	1	no	—
108	C₂³×C₉	C₂²×D₃	1	1	yes	characteristic
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	—	3	4	no	—
113	C₂×C₄×C₉	—	6	2	no	—
114	C₂×C₄×C₉	—	6	2	no	—
115	C₂×C₄×C₉	C₄×D₃	1	2	yes	—
116	C₂×C₄×C₉	C₄×D₃	1	2	yes	—
117	C₂×C₄×C₉	C₂×Dic₃	1	2	yes	—
118	C₂×Dic₉	—	2	2	no	—
119	C₂×Dic₉	—	2	2	no	—
120	C₂×Dic₉	—	3	2	no	—
121	C₂×Dic₉	—	3	2	no	—
122	C₂×Dic₉	—	3	2	no	—
123	C₂×Dic₉	—	3	2	no	—
124	C₂×Dic₉	—	6	2	no	—
125	C₂×Dic₉	—	6	2	no	—
126	C₂×Dic₉	—	6	2	no	—
127	C₂×Dic₉	—	6	2	no	—
128	C₂×Dic₉	—	6	2	no	—
129	C₂×Dic₉	—	6	2	no	—
130	C₂×Dic₉	—	6	1	no	—
131	C₂×Dic₉	—	6	1	no	—
132	C₂×Dic₉	C₂×Dic₃	1	4	yes	—
133	C₄×C₄⋊C₄	—	27	1	no	Sylow
134	C₂×C₃×C₉	C₂×C₄²	1	1	yes	characteristic
135	C₂×C₃×C₉	C₂×C₄⋊C₄	1	1	yes	characteristic
136	C₂×C₃×C₉	#117	1	1	yes	characteristic
137	C₂×C₃×C₉	C₄×D₄	1	1	yes	characteristic
138	C₂×C₃×C₉	C₄×D₄	1	1	yes	characteristic
139	C₂×C₃×C₉	C₄×Q₈	1	1	yes	characteristic
140	C₂×C₃×C₉	C₄×Q₈	1	1	yes	characteristic
141	C₂²×C₃×C₄	—	2	1	no	—
142	C₂²×C₃×C₄	—	3	2	no	—
143	C₂²×C₃×C₄	—	9	2	no	—
144	C₂²×C₃×C₄	C₂×D₉	1	1	yes	characteristic
145	C₂²×C₃×C₄	D₃²	1	1	yes	characteristic
146	C₂²×Dic₃	—	3	2	no	—
147	C₂²×Dic₃	—	9	1	no	—
148	C₂²×Dic₃	—	9	1	no	—
149	C₂²×Dic₃	—	9	1	no	—
150	C₂²×Dic₃	—	9	1	no	—
151	C₂²×Dic₃	—	18	1	no	—
152	C₂²×Dic₃	—	18	1	no	—
153	C₂²×Dic₃	C₂×D₉	1	2	yes	—
154	C₃×C₄⋊C₄	—	3	4	no	—
155	C₃×C₄⋊C₄	—	9	4	no	—
156	C₄⋊Dic₃	—	3	4	no	—
157	C₄⋊Dic₃	Dic₉	1	4	yes	complemented
158	C₄×Dic₃	—	9	4	no	—
159	C₄×Dic₃	—	9	4	no	—
160	C₄×Dic₃	—	18	4	no	—
161	C₄×Dic₃	—	18	4	no	—
162	C₄×Dic₃	—	18	4	no	—
163	C₂²×C₃²	C₂×C₄×D₃	1	1	yes	characteristic
164	C₂²×C₃²	C₂×C₄×D₃	1	1	yes	characteristic
165	C₂²×C₃²	D₃×D₄	1	1	yes	characteristic
166	C₂²×C₃²	#237	1	1	yes	characteristic
167	C₂²×C₃²	D₃×Q₈	1	1	yes	characteristic
168	C₂²×C₃²	#239	1	1	yes	characteristic
169	C₂²×C₃²	C₂²×Dic₃	1	1	yes	characteristic
170	C₃²×C₄	C₄×Dic₃	1	4	yes	—
171	C₃⋊Dic₃	—	3	4	no	—
172	C₃⋊Dic₃	—	6	2	no	—
173	C₃×Dic₃	—	2	4	no	—
174	C₃×Dic₃	—	6	4	no	—
175	C₂²×C₉	—	2	1	no	—
176	C₂²×C₉	—	2	1	no	—
177	C₂²×C₉	—	2	1	no	—
178	C₂²×C₉	—	2	1	no	—
179	C₂²×C₉	—	2	1	no	—
180	C₂²×C₉	—	2	1	no	—
181	C₂²×C₉	—	2	1	no	—
182	C₂²×C₉	C₂×C₄×D₃	1	1	yes	characteristic
183	C₂²×C₉	C₂×C₄×D₃	1	1	yes	characteristic
184	C₂²×C₉	D₃×D₄	1	1	yes	characteristic
185	C₂²×C₉	#237	1	1	yes	characteristic
186	C₂²×C₉	D₃×Q₈	1	1	yes	characteristic
187	C₂²×C₉	#239	1	1	yes	characteristic
188	C₂²×C₉	C₂²×Dic₃	1	1	yes	characteristic
189	C₄×C₉	—	2	4	no	—
190	C₄×C₉	—	6	4	no	—
191	C₄×C₉	C₄×Dic₃	1	4	yes	complemented
192	Dic₉	—	2	4	no	—
193	Dic₉	—	3	4	no	—
194	Dic₉	—	6	4	no	—
195	Dic₉	—	6	4	no	—
196	Dic₉	—	6	2	no	—
197	C₂×C₄⋊C₄	—	3	1	no	—
198	C₂×C₄⋊C₄	—	9	1	no	—
199	C₂×C₄²	—	27	1	no	—
200	C₂×C₄²	—	27	2	no	—
201	#95	—	27	2	no	—
202	C₃×C₉	C₄×C₄⋊C₄	1	1	yes	characteristic, complemented, Sylow
203	C₂³×C₃	—	2	1	no	—
204	C₂³×C₃	C₂²×D₉	1	1	yes	characteristic
205	C₂³×C₃	C₂×D₃²	1	1	yes	characteristic
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	—	3	4	no	—
210	C₂×C₃×C₄	—	6	2	no	—
211	C₂×C₃×C₄	—	6	2	no	—
212	C₂×C₃×C₄	—	9	4	no	—
213	C₂×C₃×C₄	—	18	2	no	—
214	C₂×C₃×C₄	—	18	2	no	—
215	C₂×C₃×C₄	C₄×D₉	1	2	yes	—
216	C₂×C₃×C₄	C₄×D₉	1	2	yes	—
217	C₂×C₃×C₄	C₂×Dic₉	1	2	yes	—
218	C₂×C₃×C₄	D₃×Dic₃	1	2	yes	—
219	C₂×C₃×C₄	D₃×Dic₃	1	2	yes	—
220	C₂×C₃×C₄	#624	1	2	yes	—
221	C₂×Dic₃	—	2	2	no	—
222	C₂×Dic₃	—	2	2	no	—
223	C₂×Dic₃	—	3	4	no	—
224	C₂×Dic₃	—	6	2	no	—
225	C₂×Dic₃	—	6	2	no	—
226	C₂×Dic₃	—	9	2	no	—
227	C₂×Dic₃	—	9	2	no	—
228	C₂×Dic₃	—	9	2	no	—
229	C₂×Dic₃	—	9	2	no	—
230	C₂×Dic₃	—	9	2	no	—
231	C₂×Dic₃	—	9	2	no	—
232	C₂×Dic₃	—	9	2	no	—
233	C₂×Dic₃	—	9	2	no	—
234	C₂×Dic₃	—	18	2	no	—
235	C₂×Dic₃	—	18	2	no	—
236	C₂×Dic₃	—	18	2	no	—
237	C₂×Dic₃	—	18	2	no	—
238	C₂×Dic₃	—	18	2	no	—
239	C₂×Dic₃	—	18	2	no	—
240	C₂×Dic₃	—	18	1	no	—
241	C₂×Dic₃	—	18	1	no	—
242	C₂×Dic₃	—	18	1	no	—
243	C₂×Dic₃	—	18	1	no	—
244	C₂×Dic₃	C₂×Dic₉	1	4	yes	—
245	C₂×C₃²	#887	1	1	yes	characteristic
246	C₂×C₃²	D₃×C₄⋊C₄	1	1	yes	characteristic
247	C₂×C₃²	#892	1	1	yes	characteristic
248	C₂×C₃²	#893	1	1	yes	characteristic
249	C₂×C₃²	C₂×C₄×Dic₃	1	1	yes	characteristic
250	C₂×C₃²	D₄×Dic₃	1	1	yes	characteristic
251	C₂×C₃²	Q₈×Dic₃	1	1	yes	characteristic
252	C₂×C₉	—	2	1	no	—
253	C₂×C₉	—	2	1	no	—
254	C₂×C₉	—	2	1	no	—
255	C₂×C₉	—	2	1	no	—
256	C₂×C₉	—	2	1	no	—
257	C₂×C₉	—	2	1	no	—
258	C₂×C₉	—	2	1	no	—
259	C₂×C₉	#887	1	1	yes	characteristic
260	C₂×C₉	D₃×C₄⋊C₄	1	1	yes	characteristic
261	C₂×C₉	#892	1	1	yes	characteristic
262	C₂×C₉	#893	1	1	yes	characteristic
263	C₂×C₉	C₂×C₄×Dic₃	1	1	yes	characteristic
264	C₂×C₉	D₄×Dic₃	1	1	yes	characteristic
265	C₂×C₉	Q₈×Dic₃	1	1	yes	characteristic
266	C₂²×C₄	—	3	2	no	—
267	C₂²×C₄	—	9	2	no	—
268	C₂²×C₄	—	27	1	no	—
269	C₂²×C₄	—	27	1	no	—
270	C₂²×C₄	D₃×D₉	1	1	yes	characteristic
271	C₄⋊C₄	—	3	4	no	—
272	C₄⋊C₄	—	9	4	no	—
273	C₄²	—	27	4	no	—
274	C₄²	—	54	4	no	—
275	C₂²×C₃	—	2	1	no	—
276	C₂²×C₃	—	2	1	no	—
277	C₂²×C₃	—	2	1	no	—
278	C₂²×C₃	—	2	1	no	—
279	C₂²×C₃	—	2	1	no	—
280	C₂²×C₃	—	2	1	no	—
281	C₂²×C₃	—	2	1	no	—
282	C₂²×C₃	C₂×C₄×D₉	1	1	yes	characteristic
283	C₂²×C₃	C₂×C₄×D₉	1	1	yes	characteristic
284	C₂²×C₃	D₄×D₉	1	1	yes	characteristic
285	C₂²×C₃	#3699	1	1	yes	characteristic
286	C₂²×C₃	Q₈×D₉	1	1	yes	characteristic
287	C₂²×C₃	#3701	1	1	yes	characteristic
288	C₂²×C₃	C₂²×Dic₉	1	1	yes	characteristic
289	C₂²×C₃	#3796	1	1	yes	characteristic
290	C₂²×C₃	#3796	1	1	yes	characteristic
291	C₂²×C₃	#3797	1	1	yes	characteristic
292	C₂²×C₃	#3802	1	1	yes	characteristic
293	C₂²×C₃	C₂×D₃×Dic₃	1	1	yes	characteristic
294	C₂²×C₃	C₂×D₃×Dic₃	1	1	yes	characteristic
295	C₂²×C₃	C₂×#624	1	1	yes	characteristic
296	C₃×C₄	—	2	4	no	—
297	C₃×C₄	—	6	4	no	—
298	C₃×C₄	—	18	4	no	—
299	C₃×C₄	C₄×Dic₉	1	4	yes	complemented
300	C₃×C₄	Dic₃²	1	4	yes	—
301	Dic₃	—	2	4	no	—
302	Dic₃	—	6	4	no	—
303	Dic₃	—	9	4	no	—
304	Dic₃	—	9	4	no	—
305	Dic₃	—	18	4	no	—
306	Dic₃	—	18	4	no	—
307	Dic₃	—	18	2	no	—
308	Dic₃	—	18	2	no	—
309	C₃²	Dic₃×C₄⋊C₄	1	1	yes	characteristic
310	C₉	—	2	1	no	—
311	C₉	Dic₃×C₄⋊C₄	1	1	yes	characteristic, complemented
312	C₂³	C₂×D₃×D₉	1	1	yes	characteristic
313	C₂×C₄	—	3	4	no	—
314	C₂×C₄	—	6	2	no	—
315	C₂×C₄	—	6	2	no	—
316	C₂×C₄	—	9	4	no	—
317	C₂×C₄	—	18	2	no	—
318	C₂×C₄	—	18	2	no	—
319	C₂×C₄	—	27	2	no	—
320	C₂×C₄	—	27	2	no	—
321	C₂×C₄	—	27	2	no	—
322	C₂×C₄	—	27	2	no	—
323	C₂×C₄	—	54	1	no	—
324	C₂×C₄	—	54	1	no	—
325	C₂×C₄	Dic₃×D₉	1	2	yes	—
326	C₂×C₄	(C₃⋊D₉)⋊C₄	1	2	yes	—
327	C₂×C₄	D₃×Dic₉	1	2	yes	—
328	C₂×C₃	—	2	1	no	—
329	C₂×C₃	—	2	1	no	—
330	C₂×C₃	—	2	1	no	—
331	C₂×C₃	—	2	1	no	—
332	C₂×C₃	—	2	1	no	—
333	C₂×C₃	—	2	1	no	—
334	C₂×C₃	—	2	1	no	—
335	C₂×C₃	#63449	1	1	yes	characteristic
336	C₂×C₃	C₄⋊C₄×D₉	1	1	yes	characteristic
337	C₂×C₃	#63454	1	1	yes	characteristic
338	C₂×C₃	#63455	1	1	yes	characteristic
339	C₂×C₃	C₂×C₄×Dic₉	1	1	yes	characteristic
340	C₂×C₃	D₄×Dic₉	1	1	yes	characteristic
341	C₂×C₃	Q₈×Dic₉	1	1	yes	characteristic
342	C₂×C₃	#63843	1	1	yes	characteristic
343	C₂×C₃	#63843	1	1	yes	characteristic
344	C₂×C₃	#63849	1	1	yes	characteristic
345	C₂×C₃	#63898	1	1	yes	characteristic
346	C₂×C₃	#63898	1	1	yes	characteristic
347	C₂×C₃	#63900	1	1	yes	characteristic
348	C₂×C₃	C₂×Dic₃²	1	1	yes	characteristic
349	C₂²	#88634	1	1	yes	characteristic
350	C₂²	(C₃⋊D₉)⋊Q₈	1	1	yes	characteristic
351	C₂²	#88639	1	1	yes	characteristic
352	C₂²	#88646	1	1	yes	characteristic
353	C₂²	C₂×Dic₃×D₉	1	1	yes	characteristic
354	C₂²	C₂×(C₃⋊D₉)⋊C₄	1	1	yes	characteristic
355	C₂²	C₂×D₃×Dic₉	1	1	yes	characteristic
356	C₄	—	6	4	no	—
357	C₄	—	18	4	no	—
358	C₄	—	27	4	no	—
359	C₄	—	54	2	no	—
360	C₄	Dic₃×Dic₉	1	4	yes	complemented
361	C₃	—	2	1	no	—
362	C₃	C₄⋊C₄×Dic₉	1	1	yes	characteristic, complemented
363	C₃	#10591274	1	1	yes	characteristic
364	C₂	#11720910	1	1	yes	characteristic
365	C₂	#11720911	1	1	yes	characteristic
366	C₂	#11720922	1	1	yes	characteristic
367	C₂	#11720998	1	1	yes	characteristic
368	C₂	#11721000	1	1	yes	characteristic
369	C₂	#11721025	1	1	yes	characteristic
370	C₂	C₂×Dic₃×Dic₉	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂×D₃×D₉
commutator	C₂×C₃×C₉	C₂×C₄²
Frattini	C₂³×C₃	C₂×D₃²
Fitting	C₂²×C₃×C₄×C₉	C₂²
socle, prime radical	C₂³×C₃²	C₂²×D₃
cosocle	C₂³×C₃×C₉	C₂³
hypercenter	C₂²×C₄	D₃×D₉
hypocenter	C₃×C₉	C₄×C₄⋊C₄
LCS	G ▷ C₂×C₃×C₉ ▷ C₃×C₉
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄

Complements

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

N	H ≅ G/N	type
13. C₄×C₃⋊Dic₉	C₄	semidirect
14. C₉×C₄⋊Dic₃	C₄	semidirect
15. C₃×C₄⋊Dic₉	C₄	semidirect
64. C₄⋊Dic₉	Dic₃	semidirect
75. C₃×C₄×C₉	C₄²	semidirect
77. C₃⋊Dic₉	C₄⋊C₄	semidirect
157. C₄⋊Dic₃	Dic₉	semidirect
191. C₄×C₉	C₄×Dic₃	semidirect
202. C₃×C₉	C₄×C₄⋊C₄	semidirect
299. C₃×C₄	C₄×Dic₉	semidirect
311. C₉	Dic₃×C₄⋊C₄	semidirect
360. C₄	Dic₃×Dic₉	semidirect
362. C₃	C₄⋊C₄×Dic₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄×C₃⋊Dic₉	2
C₂×C₉×C₄⋊Dic₃	2
C₂×C₃×C₄⋊Dic₉	2
C₂×Dic₃×Dic₉	2
#11720331	2
#10591274	3
C₄⋊C₄×Dic₉	3