Subgroups — #13144326

Order 1728.

770 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×C₃×C₉×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄⋊(C₃⋊Dic₉)	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×C₃⋊Dic₉	C₂	1	1	yes	maximal, characteristic
4	#11720572	C₂	1	1	yes	maximal, characteristic
5	#11720572	C₂	1	1	yes	maximal, characteristic
6	#11720572	C₂	1	1	yes	maximal, characteristic
7	#11720572	C₂	1	1	yes	maximal, characteristic
8	#10592679	—	3	1	no	maximal
9	#10588660	—	3	3	no	maximal
10	C₂²×C₃×C₄×C₉	C₂²	1	1	yes	characteristic
11	C₂²×C₃×C₄×C₉	C₂²	1	1	yes	characteristic
12	C₂²×C₃×C₄×C₉	C₂²	1	1	yes	characteristic
13	C₂²×C₃⋊Dic₉	C₂²	1	1	yes	characteristic
14	C₂²×C₃⋊Dic₉	C₂²	1	1	yes	characteristic
15	C₂²×C₃⋊Dic₉	C₂²	1	1	yes	characteristic
16	C₂²×C₃⋊Dic₉	C₂²	1	1	yes	characteristic
17	C₃×C₉×C₄⋊C₄	C₄	1	4	yes	complemented
18	C₄⋊(C₃⋊Dic₉)	—	2	2	no	—
19	C₄×C₃⋊Dic₉	—	2	2	no	—
20	C₂×C₃²×C₄⋊C₄	D₃	1	1	yes	characteristic
21	C₂×C₄⋊(C₃⋊Dic₃)	—	3	1	no	—
22	C₂×C₄×C₃⋊Dic₃	—	3	1	no	—
23	#63658	—	3	1	no	—
24	#63658	—	3	1	no	—
25	#63658	—	3	1	no	—
26	#63658	—	3	1	no	—
27	C₂×C₉×C₄⋊C₄	D₃	1	3	yes	—
28	C₂×C₄⋊Dic₉	—	3	3	no	—
29	C₂×C₄×Dic₉	—	3	3	no	—
30	C₉⋊#95	—	3	3	no	—
31	C₉⋊#95	—	3	3	no	—
32	C₉⋊#95	—	3	3	no	—
33	C₉⋊#95	—	3	3	no	—
34	C₂³×C₃×C₉	C₂³	1	1	yes	characteristic
35	C₂×C₃×C₄×C₉	—	2	1	no	—
36	C₂×C₃×C₄×C₉	—	2	1	no	—
37	C₂×C₃×C₄×C₉	—	2	1	no	—
38	C₂×C₃×C₄×C₉	—	2	1	no	—
39	C₂×C₃×C₄×C₉	—	2	1	no	—
40	C₂×C₃×C₄×C₉	—	2	1	no	—
41	C₂×C₃×C₄×C₉	C₂×C₄	1	2	yes	—
42	C₂×C₃×C₄×C₉	C₂×C₄	1	2	yes	—
43	C₂×C₃×C₄×C₉	C₂×C₄	1	2	yes	—
44	C₂×C₃⋊Dic₉	—	2	1	no	—
45	C₂×C₃⋊Dic₉	—	2	1	no	—
46	C₂×C₃⋊Dic₉	—	2	1	no	—
47	C₂×C₃⋊Dic₉	—	2	1	no	—
48	C₂×C₃⋊Dic₉	—	2	1	no	—
49	C₂×C₃⋊Dic₉	—	2	1	no	—
50	C₂×C₃⋊Dic₉	—	2	1	no	—
51	C₂×C₃⋊Dic₉	—	2	1	no	—
52	C₂×C₃⋊Dic₉	—	2	1	no	—
53	C₂×C₃⋊Dic₉	—	2	1	no	—
54	C₂×C₃⋊Dic₉	D₄	1	2	yes	—
55	C₂×C₃⋊Dic₉	Q₈	1	2	yes	—
56	#4980	—	9	3	no	—
57	#4980	—	9	1	no	—
58	C₂²×C₃²×C₄	C₂×D₃	1	1	yes	characteristic
59	C₂²×C₃²×C₄	C₂×D₃	1	1	yes	characteristic
60	C₂²×C₃²×C₄	C₂×D₃	1	1	yes	characteristic
61	C₂²×C₃⋊Dic₃	—	3	1	no	—
62	C₂²×C₃⋊Dic₃	—	3	1	no	—
63	C₂²×C₃⋊Dic₃	—	3	1	no	—
64	C₂²×C₃⋊Dic₃	—	3	1	no	—
65	C₃²×C₄⋊C₄	Dic₃	1	4	yes	—
66	C₄⋊(C₃⋊Dic₃)	—	6	2	no	—
67	C₄×C₃⋊Dic₃	—	6	2	no	—
68	C₂²×C₄×C₉	C₂×D₃	1	3	yes	—
69	C₂²×C₄×C₉	C₂×D₃	1	3	yes	—
70	C₂²×C₄×C₉	C₂×D₃	1	3	yes	—
71	C₂²×Dic₉	—	3	3	no	—
72	C₂²×Dic₉	—	3	3	no	—
73	C₂²×Dic₉	—	3	3	no	—
74	C₂²×Dic₉	—	3	3	no	—
75	C₉×C₄⋊C₄	Dic₃	1	12	yes	complemented
76	C₄⋊Dic₉	—	6	6	no	—
77	C₄×Dic₉	—	6	6	no	—
78	C₂²×C₃×C₉	C₂²×C₄	1	1	yes	characteristic
79	C₂²×C₃×C₉	C₂×D₄	1	1	yes	characteristic
80	C₂²×C₃×C₉	C₂×Q₈	1	1	yes	characteristic
81	C₂²×C₃×C₉	#41	1	1	yes	characteristic
82	C₂²×C₃×C₉	#41	1	1	yes	characteristic
83	C₂²×C₃×C₉	#41	1	1	yes	characteristic
84	C₂²×C₃×C₉	#41	1	1	yes	characteristic
85	C₃×C₄×C₉	—	2	2	no	—
86	C₃×C₄×C₉	—	2	2	no	—
87	C₃×C₄×C₉	—	2	2	no	—
88	C₃⋊Dic₉	—	2	2	no	—
89	C₃⋊Dic₉	—	2	2	no	—
90	C₃⋊Dic₉	—	4	1	no	—
91	C₃⋊Dic₉	—	4	1	no	—
92	C₂×C₃×C₄⋊C₄	D₉	1	3	yes	—
93	C₂×C₃×C₄⋊C₄	C₃⋊D₃	1	1	yes	characteristic
94	C₂×C₄⋊Dic₃	—	9	3	no	—
95	C₂×C₄⋊Dic₃	—	9	1	no	—
96	C₂×C₄×Dic₃	—	9	3	no	—
97	C₂×C₄×Dic₃	—	9	1	no	—
98	C₃⋊#95	—	9	3	no	—
99	C₃⋊#95	—	9	3	no	—
100	C₃⋊#95	—	9	3	no	—
101	C₃⋊#95	—	9	3	no	—
102	C₃⋊#95	—	9	1	no	—
103	C₃⋊#95	—	9	1	no	—
104	C₃⋊#95	—	9	1	no	—
105	C₃⋊#95	—	9	1	no	—
106	C₂³×C₃²	C₂²×D₃	1	1	yes	characteristic
107	C₂×C₃²×C₄	—	2	1	no	—
108	C₂×C₃²×C₄	—	2	1	no	—
109	C₂×C₃²×C₄	—	2	1	no	—
110	C₂×C₃²×C₄	—	2	1	no	—
111	C₂×C₃²×C₄	—	2	1	no	—
112	C₂×C₃²×C₄	—	2	1	no	—
113	C₂×C₃²×C₄	C₂×Dic₃	1	2	yes	—
114	C₂×C₃²×C₄	C₂×Dic₃	1	2	yes	—
115	C₂×C₃²×C₄	C₂×Dic₃	1	2	yes	—
116	C₂×C₃⋊Dic₃	—	3	2	no	—
117	C₂×C₃⋊Dic₃	—	3	2	no	—
118	C₂×C₃⋊Dic₃	—	6	1	no	—
119	C₂×C₃⋊Dic₃	—	6	1	no	—
120	C₂×C₃⋊Dic₃	—	6	1	no	—
121	C₂×C₃⋊Dic₃	—	6	1	no	—
122	C₂×C₃⋊Dic₃	—	6	1	no	—
123	C₂×C₃⋊Dic₃	—	6	1	no	—
124	C₂×C₃⋊Dic₃	—	6	1	no	—
125	C₂×C₃⋊Dic₃	—	6	1	no	—
126	C₂×C₃⋊Dic₃	—	6	1	no	—
127	C₂×C₃⋊Dic₃	—	6	1	no	—
128	C₂³×C₉	C₂²×D₃	1	3	yes	—
129	C₂×C₄×C₉	—	2	3	no	—
130	C₂×C₄×C₉	—	2	3	no	—
131	C₂×C₄×C₉	—	2	3	no	—
132	C₂×C₄×C₉	—	2	3	no	—
133	C₂×C₄×C₉	—	2	3	no	—
134	C₂×C₄×C₉	—	2	3	no	—
135	C₂×C₄×C₉	C₂×Dic₃	1	6	yes	—
136	C₂×C₄×C₉	C₂×Dic₃	1	6	yes	—
137	C₂×C₄×C₉	C₂×Dic₃	1	6	yes	—
138	C₂×Dic₉	—	3	6	no	—
139	C₂×Dic₉	—	3	6	no	—
140	C₂×Dic₉	—	6	3	no	—
141	C₂×Dic₉	—	6	3	no	—
142	C₂×Dic₉	—	6	3	no	—
143	C₂×Dic₉	—	6	3	no	—
144	C₂×Dic₉	—	6	3	no	—
145	C₂×Dic₉	—	6	3	no	—
146	C₂×Dic₉	—	6	3	no	—
147	C₂×Dic₉	—	6	3	no	—
148	C₂×Dic₉	—	6	3	no	—
149	C₂×Dic₉	—	6	3	no	—
150	#387	—	27	1	no	Sylow
151	C₂×C₃×C₉	#117	1	1	yes	characteristic
152	C₂×C₃×C₉	C₄×D₄	1	1	yes	characteristic
153	C₂×C₃×C₉	C₄×Q₈	1	1	yes	characteristic
154	C₂×C₃×C₉	C₂²⋊Q₈	1	1	yes	characteristic
155	C₂×C₃×C₉	#123	1	1	yes	characteristic
156	C₂×C₃×C₉	#125	1	1	yes	characteristic
157	C₂×C₃×C₉	#126	1	1	yes	characteristic
158	C₂²×C₃×C₄	C₂×D₉	1	3	yes	—
159	C₂²×C₃×C₄	C₂×D₉	1	3	yes	—
160	C₂²×C₃×C₄	C₂×D₉	1	3	yes	—
161	C₂²×C₃×C₄	C₂×C₃⋊D₃	1	1	yes	characteristic
162	C₂²×C₃×C₄	C₂×C₃⋊D₃	1	1	yes	characteristic
163	C₂²×C₃×C₄	C₂×C₃⋊D₃	1	1	yes	characteristic
164	C₂²×Dic₃	—	9	3	no	—
165	C₂²×Dic₃	—	9	3	no	—
166	C₂²×Dic₃	—	9	1	no	—
167	C₂²×Dic₃	—	9	1	no	—
168	C₂²×Dic₃	—	9	3	no	—
169	C₂²×Dic₃	—	9	3	no	—
170	C₂²×Dic₃	—	9	1	no	—
171	C₂²×Dic₃	—	9	1	no	—
172	C₃×C₄⋊C₄	Dic₉	1	12	yes	complemented
173	C₃×C₄⋊C₄	C₃⋊Dic₃	1	4	yes	—
174	C₄⋊Dic₃	—	18	2	no	—
175	C₄⋊Dic₃	—	18	6	no	—
176	C₄×Dic₃	—	18	2	no	—
177	C₄×Dic₃	—	18	6	no	—
178	C₂²×C₃²	#235	1	1	yes	characteristic
179	C₂²×C₃²	#235	1	1	yes	characteristic
180	C₂²×C₃²	D₃×D₄	1	1	yes	characteristic
181	C₂²×C₃²	#237	1	1	yes	characteristic
182	C₂²×C₃²	D₃×Q₈	1	1	yes	characteristic
183	C₂²×C₃²	#239	1	1	yes	characteristic
184	C₂²×C₃²	C₂²×Dic₃	1	1	yes	characteristic
185	C₃²×C₄	—	2	2	no	—
186	C₃²×C₄	—	2	2	no	—
187	C₃²×C₄	—	2	2	no	—
188	C₃⋊Dic₃	—	6	2	no	—
189	C₃⋊Dic₃	—	6	2	no	—
190	C₃⋊Dic₃	—	12	1	no	—
191	C₃⋊Dic₃	—	12	1	no	—
192	C₂²×C₉	#235	1	3	yes	—
193	C₂²×C₉	#235	1	3	yes	—
194	C₂²×C₉	D₃×D₄	1	3	yes	—
195	C₂²×C₉	#237	1	3	yes	—
196	C₂²×C₉	D₃×Q₈	1	3	yes	—
197	C₂²×C₉	#239	1	3	yes	—
198	C₂²×C₉	C₂²×Dic₃	1	3	yes	—
199	C₄×C₉	—	2	6	no	—
200	C₄×C₉	—	2	6	no	—
201	C₄×C₉	—	2	6	no	—
202	Dic₉	—	6	6	no	—
203	Dic₉	—	6	6	no	—
204	Dic₉	—	12	3	no	—
205	Dic₉	—	12	3	no	—
206	C₂×C₄⋊C₄	—	27	1	no	—
207	C₂×C₄⋊C₄	C₃⋊D₉	1	1	yes	characteristic
208	C₂×C₄²	—	27	1	no	—
209	#95	—	27	1	no	—
210	#95	—	27	1	no	—
211	#95	—	27	1	no	—
212	#95	—	27	1	no	—
213	C₃×C₉	#387	1	1	yes	characteristic, complemented, Sylow
214	C₂³×C₃	C₂²×D₉	1	3	yes	—
215	C₂³×C₃	C₂²×C₃⋊D₃	1	1	yes	characteristic
216	C₂×C₃×C₄	—	2	3	no	—
217	C₂×C₃×C₄	—	2	3	no	—
218	C₂×C₃×C₄	—	2	3	no	—
219	C₂×C₃×C₄	—	2	3	no	—
220	C₂×C₃×C₄	—	2	3	no	—
221	C₂×C₃×C₄	—	2	3	no	—
222	C₂×C₃×C₄	—	2	1	no	—
223	C₂×C₃×C₄	—	2	1	no	—
224	C₂×C₃×C₄	—	2	1	no	—
225	C₂×C₃×C₄	—	2	1	no	—
226	C₂×C₃×C₄	—	2	1	no	—
227	C₂×C₃×C₄	—	2	1	no	—
228	C₂×C₃×C₄	C₂×Dic₉	1	6	yes	—
229	C₂×C₃×C₄	C₂×Dic₉	1	6	yes	—
230	C₂×C₃×C₄	C₂×Dic₉	1	6	yes	—
231	C₂×C₃×C₄	C₂×C₃⋊Dic₃	1	2	yes	—
232	C₂×C₃×C₄	C₂×C₃⋊Dic₃	1	2	yes	—
233	C₂×C₃×C₄	C₂×C₃⋊Dic₃	1	2	yes	—
234	C₂×Dic₃	—	9	6	no	—
235	C₂×Dic₃	—	9	6	no	—
236	C₂×Dic₃	—	9	2	no	—
237	C₂×Dic₃	—	9	2	no	—
238	C₂×Dic₃	—	18	3	no	—
239	C₂×Dic₃	—	18	3	no	—
240	C₂×Dic₃	—	18	3	no	—
241	C₂×Dic₃	—	18	3	no	—
242	C₂×Dic₃	—	18	1	no	—
243	C₂×Dic₃	—	18	1	no	—
244	C₂×Dic₃	—	18	1	no	—
245	C₂×Dic₃	—	18	1	no	—
246	C₂×Dic₃	—	18	3	no	—
247	C₂×Dic₃	—	18	3	no	—
248	C₂×Dic₃	—	18	3	no	—
249	C₂×Dic₃	—	18	3	no	—
250	C₂×Dic₃	—	18	3	no	—
251	C₂×Dic₃	—	18	3	no	—
252	C₂×Dic₃	—	18	1	no	—
253	C₂×Dic₃	—	18	1	no	—
254	C₂×Dic₃	—	18	1	no	—
255	C₂×Dic₃	—	18	1	no	—
256	C₂×Dic₃	—	18	1	no	—
257	C₂×Dic₃	—	18	1	no	—
258	C₂×C₃²	#889	1	1	yes	characteristic
259	C₂×C₃²	#894	1	1	yes	characteristic
260	C₂×C₃²	#896	1	1	yes	characteristic
261	C₂×C₃²	#898	1	1	yes	characteristic
262	C₂×C₃²	#926	1	1	yes	characteristic
263	C₂×C₃²	D₄×Dic₃	1	1	yes	characteristic
264	C₂×C₃²	Q₈×Dic₃	1	1	yes	characteristic
265	C₂×C₉	#889	1	3	yes	—
266	C₂×C₉	#894	1	3	yes	—
267	C₂×C₉	#896	1	3	yes	—
268	C₂×C₉	#898	1	3	yes	—
269	C₂×C₉	#926	1	3	yes	—
270	C₂×C₉	D₄×Dic₃	1	3	yes	—
271	C₂×C₉	Q₈×Dic₃	1	3	yes	—
272	C₂²×C₄	—	27	1	no	—
273	C₂²×C₄	—	27	1	no	—
274	C₂²×C₄	—	27	1	no	—
275	C₂²×C₄	—	27	1	no	—
276	C₂²×C₄	C₂×C₃⋊D₉	1	1	yes	characteristic
277	C₂²×C₄	C₂×C₃⋊D₉	1	1	yes	characteristic
278	C₂²×C₄	C₂×C₃⋊D₉	1	1	yes	characteristic
279	C₄⋊C₄	—	54	2	no	—
280	C₄⋊C₄	C₃⋊Dic₉	1	4	yes	complemented
281	C₄²	—	54	2	no	—
282	C₂²×C₃	#3697	1	3	yes	—
283	C₂²×C₃	#3697	1	3	yes	—
284	C₂²×C₃	D₄×D₉	1	3	yes	—
285	C₂²×C₃	#3699	1	3	yes	—
286	C₂²×C₃	Q₈×D₉	1	3	yes	—
287	C₂²×C₃	#3701	1	3	yes	—
288	C₂²×C₃	C₂²×Dic₉	1	3	yes	—
289	C₂²×C₃	#3828	1	1	yes	characteristic
290	C₂²×C₃	#3828	1	1	yes	characteristic
291	C₂²×C₃	D₄×C₃⋊D₃	1	1	yes	characteristic
292	C₂²×C₃	#3830	1	1	yes	characteristic
293	C₂²×C₃	Q₈×C₃⋊D₃	1	1	yes	characteristic
294	C₂²×C₃	#3832	1	1	yes	characteristic
295	C₂²×C₃	C₂²×C₃⋊Dic₃	1	1	yes	characteristic
296	C₃×C₄	—	2	6	no	—
297	C₃×C₄	—	2	6	no	—
298	C₃×C₄	—	2	6	no	—
299	C₃×C₄	—	2	2	no	—
300	C₃×C₄	—	2	2	no	—
301	C₃×C₄	—	2	2	no	—
302	Dic₃	—	18	2	no	—
303	Dic₃	—	18	2	no	—
304	Dic₃	—	18	6	no	—
305	Dic₃	—	18	6	no	—
306	Dic₃	—	36	1	no	—
307	Dic₃	—	36	1	no	—
308	Dic₃	—	36	3	no	—
309	Dic₃	—	36	3	no	—
310	C₃²	#4980	1	1	yes	characteristic
311	C₉	#4980	1	3	yes	complemented
312	C₂³	C₂²×C₃⋊D₉	1	1	yes	characteristic
313	C₂×C₄	—	2	1	no	—
314	C₂×C₄	—	2	1	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	27	2	no	—
320	C₂×C₄	—	27	2	no	—
321	C₂×C₄	—	54	1	no	—
322	C₂×C₄	—	54	1	no	—
323	C₂×C₄	—	54	1	no	—
324	C₂×C₄	—	54	1	no	—
325	C₂×C₄	—	54	1	no	—
326	C₂×C₄	—	54	1	no	—
327	C₂×C₄	—	54	1	no	—
328	C₂×C₄	—	54	1	no	—
329	C₂×C₄	—	54	1	no	—
330	C₂×C₄	—	54	1	no	—
331	C₂×C₄	C₂×C₃⋊Dic₉	1	2	yes	—
332	C₂×C₄	C₂×C₃⋊Dic₉	1	2	yes	—
333	C₂×C₄	C₂×C₃⋊Dic₉	1	2	yes	—
334	C₂×C₃	#63451	1	3	yes	—
335	C₂×C₃	#63456	1	3	yes	—
336	C₂×C₃	#63458	1	3	yes	—
337	C₂×C₃	#63460	1	3	yes	—
338	C₂×C₃	#63488	1	3	yes	—
339	C₂×C₃	D₄×Dic₉	1	3	yes	—
340	C₂×C₃	Q₈×Dic₉	1	3	yes	—
341	C₂×C₃	#64098	1	1	yes	characteristic
342	C₂×C₃	#64103	1	1	yes	characteristic
343	C₂×C₃	#64105	1	1	yes	characteristic
344	C₂×C₃	#64107	1	1	yes	characteristic
345	C₂×C₃	#64135	1	1	yes	characteristic
346	C₂×C₃	D₄×C₃⋊Dic₃	1	1	yes	characteristic
347	C₂×C₃	Q₈×C₃⋊Dic₃	1	1	yes	characteristic
348	C₂²	#88736	1	1	yes	characteristic
349	C₂²	#88736	1	1	yes	characteristic
350	C₂²	D₄×C₃⋊D₉	1	1	yes	characteristic
351	C₂²	#88742	1	1	yes	characteristic
352	C₂²	Q₈×C₃⋊D₉	1	1	yes	characteristic
353	C₂²	#88746	1	1	yes	characteristic
354	C₂²	C₂²×C₃⋊Dic₉	1	1	yes	characteristic
355	C₄	—	2	2	no	—
356	C₄	—	2	2	no	—
357	C₄	—	2	2	no	—
358	C₄	—	54	2	no	—
359	C₄	—	54	2	no	—
360	C₄	—	108	1	no	—
361	C₄	—	108	1	no	—
362	C₃	#10588660	1	3	yes	complemented
363	C₃	#10592679	1	1	yes	characteristic
364	C₂	#11721745	1	1	yes	characteristic
365	C₂	#11721750	1	1	yes	characteristic
366	C₂	#11721752	1	1	yes	characteristic
367	C₂	#11721754	1	1	yes	characteristic
368	C₂	#11721815	1	1	yes	characteristic
369	C₂	D₄×C₃⋊Dic₉	1	1	yes	characteristic
370	C₂	Q₈×C₃⋊Dic₉	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂²×C₃⋊D₉
commutator	C₂²×C₃×C₉	C₂²×C₄
Frattini	C₂³×C₃	C₂²×C₃⋊D₃
Fitting	C₂×C₃×C₉×C₄⋊C₄	C₂
socle, prime radical	C₂³×C₃²	C₂²×D₃
cosocle	C₂³×C₃×C₉	C₂³
hypercenter	C₂×C₄⋊C₄	C₃⋊D₉
hypocenter	C₃×C₉	#387
LCS	G ▷ C₂²×C₃×C₉ ▷ C₃×C₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄⋊C₄

Complements

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

N	H ≅ G/N	type
17. C₃×C₉×C₄⋊C₄	C₄	semidirect
75. C₉×C₄⋊C₄	Dic₃	semidirect
172. C₃×C₄⋊C₄	Dic₉	semidirect
213. C₃×C₉	#387	semidirect
280. C₄⋊C₄	C₃⋊Dic₉	semidirect
311. C₉	#4980	semidirect
362. C₃	#10588660	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×C₉×C₄⋊C₄	2
C₂×C₄⋊(C₃⋊Dic₉)	2
C₂×C₄×C₃⋊Dic₉	2
#11720572	2
#10592679	3
#10588660	3