Subgroups — #13135124

Order 1728.

434 conjugacy classes of subgroups.

The subgroup lattice has 364 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	C₂²×C₃×C₉⋊C₈	C₂	1	1	yes	maximal, characteristic
4	#10589164	—	3	1	no	maximal
5	#10588206	—	3	1	no	maximal
6	C₂²×C₃×C₄×C₉	C₂²	1	1	yes	characteristic
7	C₂²×C₃⋊Dic₉	—	2	1	no	—
8	C₂²×C₉×Dic₃	—	2	1	no	—
9	C₄⋊(C₃⋊Dic₉)	—	2	1	no	—
10	C₄⋊(C₃⋊Dic₉)	C₄	1	2	yes	complemented
11	C₉×C₄⋊Dic₃	—	2	1	no	—
12	C₉×C₄⋊Dic₃	C₄	1	2	yes	complemented
13	C₂×C₃×C₉⋊C₈	—	2	1	no	—
14	C₂×C₃×C₉⋊C₈	—	2	1	no	—
15	C₂×C₃×C₉⋊C₈	C₄	1	2	yes	complemented
16	C₂×C₄⋊(C₃⋊Dic₃)	—	3	1	no	—
17	C₂×C₃×C₄⋊Dic₃	D₃	1	1	yes	characteristic
18	C₂²×C₃×C₃⋊C₈	—	3	1	no	—
19	C₂×C₉×C₄⋊C₄	—	3	1	no	—
20	C₂×C₄⋊Dic₉	—	3	1	no	—
21	C₂×C₄⋊Dic₉	—	6	1	no	—
22	C₂²×C₉⋊C₈	D₃	1	1	yes	characteristic
23	C₂³×C₃×C₉	D₄	1	1	yes	characteristic
24	C₂×C₃×C₄×C₉	C₂×C₄	1	1	yes	characteristic
25	C₂×C₃×C₄×C₉	C₂×C₄	1	1	yes	characteristic
26	C₂×C₃×C₄×C₉	C₂×C₄	1	1	yes	characteristic
27	C₂×C₃×C₄×C₉	D₄	1	1	yes	characteristic
28	C₂×C₃×C₄×C₉	D₄	1	1	yes	characteristic
29	C₂×C₃×C₄×C₉	Q₈	1	1	yes	characteristic
30	C₂×C₃⋊Dic₉	—	2	2	no	—
31	C₂×C₃⋊Dic₉	—	4	1	no	—
32	C₂×C₃⋊Dic₉	—	4	1	no	—
33	C₂×C₉×Dic₃	—	2	2	no	—
34	C₂×C₉×Dic₃	—	4	1	no	—
35	C₂×C₉×Dic₃	—	4	1	no	—
36	C₃×C₉⋊C₈	—	2	2	no	—
37	#4551	—	9	1	no	—
38	#4529	—	9	1	no	—
39	C₂²×C₃²×C₄	C₂×D₃	1	1	yes	characteristic
40	C₂²×C₃⋊Dic₃	—	6	1	no	—
41	C₂²×C₃×Dic₃	—	2	1	no	—
42	C₄⋊(C₃⋊Dic₃)	—	3	2	no	—
43	C₄⋊(C₃⋊Dic₃)	—	6	1	no	—
44	C₃×C₄⋊Dic₃	—	2	1	no	—
45	C₃×C₄⋊Dic₃	Dic₃	1	2	yes	—
46	C₂×C₃×C₃⋊C₈	—	3	2	no	—
47	C₂×C₃×C₃⋊C₈	—	6	1	no	—
48	C₂×C₃×C₃⋊C₈	—	6	1	no	—
49	C₂²×C₄×C₉	—	2	1	no	—
50	C₂²×C₄×C₉	—	6	1	no	—
51	C₂²×C₄×C₉	C₂×D₃	1	1	yes	characteristic
52	C₂²×Dic₉	—	6	2	no	—
53	C₂²×Dic₉	—	6	1	no	—
54	C₉×C₄⋊C₄	—	3	2	no	—
55	C₉×C₄⋊C₄	—	6	1	no	—
56	C₄⋊Dic₉	—	3	2	no	—
57	C₄⋊Dic₉	—	6	2	no	—
58	C₄⋊Dic₉	—	6	2	no	—
59	C₄⋊Dic₉	—	6	1	no	—
60	C₂×C₉⋊C₈	—	2	1	no	—
61	C₂×C₉⋊C₈	—	2	1	no	—
62	C₂×C₉⋊C₈	Dic₃	1	2	yes	complemented
63	C₂²×C₃×C₉	C₂²⋊C₄	1	1	yes	characteristic
64	C₂²×C₃×C₉	C₂²⋊C₄	1	1	yes	characteristic
65	C₂²×C₃×C₉	C₄⋊C₄	1	1	yes	characteristic
66	C₂²×C₃×C₉	D₈	1	1	yes	characteristic
67	C₂²×C₃×C₉	SD₁₆	1	1	yes	characteristic
68	C₂²×C₃×C₉	SD₁₆	1	1	yes	characteristic
69	C₂²×C₃×C₉	Q₁₆	1	1	yes	characteristic
70	C₃×C₄×C₉	C₄²	1	1	yes	characteristic
71	C₃×C₄×C₉	C₂²⋊C₄	1	1	yes	characteristic
72	C₃×C₄×C₉	C₄⋊C₄	1	1	yes	characteristic
73	C₃×C₄×C₉	C₄⋊C₄	1	1	yes	characteristic
74	C₃⋊Dic₉	—	4	2	no	—
75	C₉×Dic₃	—	4	2	no	—
76	C₂²×C₃×C₈	—	9	1	no	—
77	C₂×C₃×C₄⋊C₄	—	3	1	no	—
78	C₂×C₄⋊Dic₃	—	9	1	no	—
79	C₂×C₄⋊Dic₃	—	9	1	no	—
80	C₂×C₄⋊Dic₃	—	18	1	no	—
81	C₂×C₄⋊Dic₃	D₉	1	1	yes	characteristic
82	C₂²×C₃⋊C₈	—	3	1	no	—
83	C₂³×C₃²	#67	1	1	yes	characteristic
84	C₂×C₃²×C₄	Dic₆	1	1	yes	characteristic
85	C₂×C₃²×C₄	C₄×D₃	1	1	yes	characteristic
86	C₂×C₃²×C₄	C₄×D₃	1	1	yes	characteristic
87	C₂×C₃²×C₄	D₁₂	1	1	yes	characteristic
88	C₂×C₃²×C₄	C₂×Dic₃	1	1	yes	characteristic
89	C₂×C₃²×C₄	#67	1	1	yes	characteristic
90	C₂×C₃⋊Dic₃	—	6	2	no	—
91	C₂×C₃⋊Dic₃	—	12	1	no	—
92	C₂×C₃⋊Dic₃	—	12	1	no	—
93	C₂×C₃×Dic₃	—	2	2	no	—
94	C₂×C₃×Dic₃	—	4	1	no	—
95	C₂×C₃×Dic₃	—	4	1	no	—
96	C₂³×C₉	—	2	1	no	—
97	C₂³×C₉	D₁₂	1	1	yes	characteristic
98	C₃×C₃⋊C₈	—	6	2	no	—
99	C₂×C₄×C₉	—	2	1	no	—
100	C₂×C₄×C₉	—	2	1	no	—
101	C₂×C₄×C₉	—	2	1	no	—
102	C₂×C₄×C₉	—	2	1	no	—
103	C₂×C₄×C₉	—	2	1	no	—
104	C₂×C₄×C₉	—	2	1	no	—
105	C₂×C₄×C₉	—	6	2	no	—
106	C₂×C₄×C₉	—	12	1	no	—
107	C₂×C₄×C₉	—	12	1	no	—
108	C₂×C₄×C₉	Dic₆	1	1	yes	characteristic
109	C₂×C₄×C₉	C₄×D₃	1	1	yes	characteristic
110	C₂×C₄×C₉	C₄×D₃	1	1	yes	characteristic
111	C₂×C₄×C₉	C₂×Dic₃	1	1	yes	characteristic
112	C₂×C₄×C₉	#67	1	1	yes	characteristic
113	C₂×C₄×C₉	#67	1	1	yes	characteristic
114	C₂×Dic₉	—	6	4	no	—
115	C₂×Dic₉	—	6	2	no	—
116	C₂×Dic₉	—	12	2	no	—
117	C₂×Dic₉	—	12	2	no	—
118	C₂×Dic₉	—	12	1	no	—
119	C₂×Dic₉	—	12	1	no	—
120	C₉⋊C₈	—	2	2	no	—
121	#340	—	27	1	no	Sylow
122	C₂×C₃×C₉	#95	1	1	yes	characteristic
123	C₂×C₃×C₉	#102	1	1	yes	characteristic
124	C₂×C₃×C₉	#102	1	1	yes	characteristic
125	C₂×C₃×C₉	#103	1	1	yes	characteristic
126	C₂×C₃×C₉	#103	1	1	yes	characteristic
127	C₂×C₃×C₉	#106	1	1	yes	characteristic
128	C₂×C₃×C₉	#107	1	1	yes	characteristic
129	C₂²×C₃×C₄	—	2	1	no	—
130	C₂²×C₃×C₄	—	6	1	no	—
131	C₂²×C₃×C₄	C₂×D₉	1	1	yes	characteristic
132	C₂²×C₃×C₄	D₃²	1	1	yes	characteristic
133	C₂²×Dic₃	—	2	1	no	—
134	C₂²×Dic₃	—	18	2	no	—
135	C₂²×Dic₃	—	18	1	no	—
136	C₂²×Dic₃	—	18	1	no	—
137	C₂×C₃×C₈	—	9	2	no	—
138	C₂×C₃×C₈	—	18	1	no	—
139	C₂×C₃×C₈	—	18	1	no	—
140	C₃×C₄⋊C₄	—	3	2	no	—
141	C₃×C₄⋊C₄	—	6	1	no	—
142	C₄⋊Dic₃	—	2	1	no	—
143	C₄⋊Dic₃	—	9	2	no	—
144	C₄⋊Dic₃	—	9	2	no	—
145	C₄⋊Dic₃	—	18	2	no	—
146	C₄⋊Dic₃	—	18	2	no	—
147	C₄⋊Dic₃	—	18	1	no	—
148	C₄⋊Dic₃	—	18	1	no	—
149	C₄⋊Dic₃	Dic₉	1	2	yes	complemented
150	C₂×C₃⋊C₈	—	3	2	no	—
151	C₂×C₃⋊C₈	—	6	1	no	—
152	C₂×C₃⋊C₈	—	6	1	no	—
153	C₂²×C₃²	Dic₃⋊C₄	1	1	yes	characteristic
154	C₂²×C₃²	(C₂×D₃)⋊C₄	1	1	yes	characteristic
155	C₂²×C₃²	#213	1	1	yes	characteristic
156	C₂²×C₃²	#214	1	1	yes	characteristic
157	C₂²×C₃²	#215	1	1	yes	characteristic
158	C₂²×C₃²	#216	1	1	yes	characteristic
159	C₂²×C₃²	#217	1	1	yes	characteristic
160	C₃²×C₄	C₄×Dic₃	1	1	yes	characteristic
161	C₃²×C₄	Dic₃⋊C₄	1	1	yes	characteristic
162	C₃²×C₄	C₄⋊Dic₃	1	1	yes	characteristic
163	C₃²×C₄	(C₂×D₃)⋊C₄	1	1	yes	characteristic
164	C₃⋊Dic₃	—	12	2	no	—
165	C₃×Dic₃	—	4	2	no	—
166	C₂²×C₉	—	2	1	no	—
167	C₂²×C₉	—	2	1	no	—
168	C₂²×C₉	—	2	1	no	—
169	C₂²×C₉	—	2	1	no	—
170	C₂²×C₉	—	2	1	no	—
171	C₂²×C₉	—	2	1	no	—
172	C₂²×C₉	—	2	1	no	—
173	C₂²×C₉	#204	1	1	yes	characteristic
174	C₂²×C₉	#204	1	1	yes	characteristic
175	C₂²×C₉	D₂₄	1	1	yes	characteristic
176	C₂²×C₉	Dic₁₂	1	1	yes	characteristic
177	C₂²×C₉	C₄⋊Dic₃	1	1	yes	characteristic
178	C₂²×C₉	(C₂×D₃)⋊C₄	1	1	yes	characteristic
179	C₂²×C₉	(C₂×D₃)⋊C₄	1	1	yes	characteristic
180	C₄×C₉	—	2	1	no	—
181	C₄×C₉	—	2	1	no	—
182	C₄×C₉	—	2	1	no	—
183	C₄×C₉	—	2	1	no	—
184	C₄×C₉	—	12	2	no	—
185	C₄×C₉	C₄×Dic₃	1	1	yes	characteristic
186	C₄×C₉	Dic₃⋊C₄	1	1	yes	characteristic
187	C₄×C₉	Dic₃⋊C₄	1	1	yes	characteristic
188	C₄×C₉	#217	1	1	yes	characteristic
189	Dic₉	—	12	4	no	—
190	Dic₉	—	12	2	no	—
191	C₂²×C₈	—	9	1	no	—
192	C₂×C₄⋊C₄	—	3	1	no	—
193	C₂×C₄⋊C₄	—	27	1	no	—
194	C₃×C₉	#340	1	1	yes	characteristic, complemented, Sylow
195	C₂³×C₃	—	2	1	no	—
196	C₂³×C₃	#611	1	1	yes	characteristic
197	C₂³×C₃	#626	1	1	yes	characteristic
198	C₂×C₃×C₄	—	2	1	no	—
199	C₂×C₃×C₄	—	2	1	no	—
200	C₂×C₃×C₄	—	2	1	no	—
201	C₂×C₃×C₄	—	2	1	no	—
202	C₂×C₃×C₄	—	2	1	no	—
203	C₂×C₃×C₄	—	2	1	no	—
204	C₂×C₃×C₄	—	6	2	no	—
205	C₂×C₃×C₄	—	12	1	no	—
206	C₂×C₃×C₄	—	12	1	no	—
207	C₂×C₃×C₄	Dic₁₈	1	1	yes	characteristic
208	C₂×C₃×C₄	C₄×D₉	1	1	yes	characteristic
209	C₂×C₃×C₄	C₄×D₉	1	1	yes	characteristic
210	C₂×C₃×C₄	D₃₆	1	1	yes	characteristic
211	C₂×C₃×C₄	C₂×Dic₉	1	1	yes	characteristic
212	C₂×C₃×C₄	#611	1	1	yes	characteristic
213	C₂×C₃×C₄	D₃×Dic₃	1	1	yes	characteristic
214	C₂×C₃×C₄	D₃×Dic₃	1	1	yes	characteristic
215	C₂×C₃×C₄	#624	1	1	yes	characteristic
216	C₂×C₃×C₄	#625	1	1	yes	characteristic
217	C₂×C₃×C₄	#626	1	1	yes	characteristic
218	C₂×C₃×C₄	#627	1	1	yes	characteristic
219	C₂×Dic₃	—	2	2	no	—
220	C₂×Dic₃	—	4	1	no	—
221	C₂×Dic₃	—	4	1	no	—
222	C₂×Dic₃	—	18	4	no	—
223	C₂×Dic₃	—	18	2	no	—
224	C₂×Dic₃	—	18	2	no	—
225	C₂×Dic₃	—	36	2	no	—
226	C₂×Dic₃	—	36	2	no	—
227	C₂×Dic₃	—	36	1	no	—
228	C₂×Dic₃	—	36	1	no	—
229	C₂×Dic₃	—	36	1	no	—
230	C₂×Dic₃	—	36	1	no	—
231	C₃×C₈	—	18	2	no	—
232	C₃⋊C₈	—	6	2	no	—
233	C₂×C₃²	#807	1	1	yes	characteristic
234	C₂×C₃²	#808	1	1	yes	characteristic
235	C₂×C₃²	#809	1	1	yes	characteristic
236	C₂×C₃²	#810	1	1	yes	characteristic
237	C₂×C₃²	C₃⋊#95	1	1	yes	characteristic
238	C₂×C₃²	#832	1	1	yes	characteristic
239	C₂×C₃²	#835	1	1	yes	characteristic
240	C₂×C₉	—	2	1	no	—
241	C₂×C₉	—	2	1	no	—
242	C₂×C₉	—	2	1	no	—
243	C₂×C₉	—	2	1	no	—
244	C₂×C₉	—	2	1	no	—
245	C₂×C₉	—	2	1	no	—
246	C₂×C₉	—	2	1	no	—
247	C₂×C₉	#816	1	1	yes	characteristic
248	C₂×C₉	#816	1	1	yes	characteristic
249	C₂×C₉	#817	1	1	yes	characteristic
250	C₂×C₉	#818	1	1	yes	characteristic
251	C₂×C₉	#821	1	1	yes	characteristic
252	C₂×C₉	#821	1	1	yes	characteristic
253	C₂×C₉	C₃⋊#95	1	1	yes	characteristic
254	C₂²×C₄	—	6	1	no	—
255	C₂²×C₄	—	54	1	no	—
256	C₂²×C₄	D₃×D₉	1	1	yes	characteristic
257	C₂×C₈	—	9	2	no	—
258	C₂×C₈	—	18	1	no	—
259	C₂×C₈	—	18	1	no	—
260	C₄⋊C₄	—	3	2	no	—
261	C₄⋊C₄	—	6	1	no	—
262	C₄⋊C₄	—	27	2	no	—
263	C₄⋊C₄	—	54	1	no	—
264	C₂²×C₃	—	2	1	no	—
265	C₂²×C₃	—	2	1	no	—
266	C₂²×C₃	—	2	1	no	—
267	C₂²×C₃	—	2	1	no	—
268	C₂²×C₃	—	2	1	no	—
269	C₂²×C₃	—	2	1	no	—
270	C₂²×C₃	—	2	1	no	—
271	C₂²×C₃	Dic₉⋊C₄	1	1	yes	characteristic
272	C₂²×C₃	(C₂×D₉)⋊C₄	1	1	yes	characteristic
273	C₂²×C₃	#3672	1	1	yes	characteristic
274	C₂²×C₃	#3673	1	1	yes	characteristic
275	C₂²×C₃	#3674	1	1	yes	characteristic
276	C₂²×C₃	#3675	1	1	yes	characteristic
277	C₂²×C₃	#3676	1	1	yes	characteristic
278	C₂²×C₃	#3714	1	1	yes	characteristic
279	C₂²×C₃	#3716	1	1	yes	characteristic
280	C₂²×C₃	#3717	1	1	yes	characteristic
281	C₂²×C₃	#3719	1	1	yes	characteristic
282	C₂²×C₃	(C₂×D₃)⋊Dic₃	1	1	yes	characteristic
283	C₂²×C₃	#3722	1	1	yes	characteristic
284	C₂²×C₃	Dic₃⋊Dic₃	1	1	yes	characteristic
285	C₃×C₄	—	2	1	no	—
286	C₃×C₄	—	2	1	no	—
287	C₃×C₄	—	2	1	no	—
288	C₃×C₄	—	2	1	no	—
289	C₃×C₄	—	12	2	no	—
290	C₃×C₄	C₄×Dic₉	1	1	yes	characteristic
291	C₃×C₄	Dic₉⋊C₄	1	1	yes	characteristic
292	C₃×C₄	C₄⋊Dic₉	1	1	yes	characteristic
293	C₃×C₄	(C₂×D₉)⋊C₄	1	1	yes	characteristic
294	C₃×C₄	Dic₃²	1	1	yes	characteristic
295	C₃×C₄	(C₂×D₃)⋊Dic₃	1	1	yes	characteristic
296	C₃×C₄	Dic₃⋊Dic₃	1	1	yes	characteristic
297	C₃×C₄	#3724	1	1	yes	characteristic
298	Dic₃	—	4	2	no	—
299	Dic₃	—	36	4	no	—
300	Dic₃	—	36	2	no	—
301	Dic₃	—	36	2	no	—
302	C₃²	#4529	1	1	yes	characteristic
303	C₉	—	2	1	no	—
304	C₉	#4551	1	1	yes	characteristic, complemented
305	C₂³	#6195	1	1	yes	characteristic
306	C₂×C₄	—	6	2	no	—
307	C₂×C₄	—	12	1	no	—
308	C₂×C₄	—	12	1	no	—
309	C₂×C₄	—	54	2	no	—
310	C₂×C₄	—	108	1	no	—
311	C₂×C₄	—	108	1	no	—
312	C₂×C₄	#6189	1	1	yes	characteristic
313	C₂×C₄	Dic₃×D₉	1	1	yes	characteristic
314	C₂×C₄	(C₃⋊D₉)⋊C₄	1	1	yes	characteristic
315	C₂×C₄	#6192	1	1	yes	characteristic
316	C₂×C₄	D₃×Dic₉	1	1	yes	characteristic
317	C₂×C₄	#6194	1	1	yes	characteristic
318	C₈	—	18	2	no	—
319	C₂×C₃	—	2	1	no	—
320	C₂×C₃	—	2	1	no	—
321	C₂×C₃	—	2	1	no	—
322	C₂×C₃	—	2	1	no	—
323	C₂×C₃	—	2	1	no	—
324	C₂×C₃	—	2	1	no	—
325	C₂×C₃	—	2	1	no	—
326	C₂×C₃	#63366	1	1	yes	characteristic
327	C₂×C₃	#63367	1	1	yes	characteristic
328	C₂×C₃	#63368	1	1	yes	characteristic
329	C₂×C₃	#63369	1	1	yes	characteristic
330	C₂×C₃	C₉⋊#95	1	1	yes	characteristic
331	C₂×C₃	#63392	1	1	yes	characteristic
332	C₂×C₃	#63395	1	1	yes	characteristic
333	C₂×C₃	#63563	1	1	yes	characteristic
334	C₂×C₃	#63564	1	1	yes	characteristic
335	C₂×C₃	#63566	1	1	yes	characteristic
336	C₂×C₃	#63567	1	1	yes	characteristic
337	C₂×C₃	#63573	1	1	yes	characteristic
338	C₂×C₃	#63575	1	1	yes	characteristic
339	C₂×C₃	#63579	1	1	yes	characteristic
340	C₂²	#88422	1	1	yes	characteristic
341	C₂²	#88424	1	1	yes	characteristic
342	C₂²	#88426	1	1	yes	characteristic
343	C₂²	#88428	1	1	yes	characteristic
344	C₂²	Dic₉⋊Dic₃	1	1	yes	characteristic
345	C₂²	#88445	1	1	yes	characteristic
346	C₂²	(C₂×D₃)⋊Dic₉	1	1	yes	characteristic
347	C₄	—	12	2	no	—
348	C₄	—	108	2	no	—
349	C₄	Dic₃×Dic₉	1	1	yes	characteristic
350	C₄	#88442	1	1	yes	characteristic
351	C₄	Dic₃⋊Dic₉	1	1	yes	characteristic
352	C₄	(C₂×D₉)⋊Dic₃	1	1	yes	characteristic
353	C₃	—	2	1	no	—
354	C₃	#10588206	1	1	yes	characteristic, complemented
355	C₃	#10589164	1	1	yes	characteristic
356	C₂	#11720262	1	1	yes	characteristic
357	C₂	#11720264	1	1	yes	characteristic
358	C₂	#11720267	1	1	yes	characteristic
359	C₂	#11720269	1	1	yes	characteristic
360	C₂	#11720295	1	1	yes	characteristic
361	C₂	#11720298	1	1	yes	characteristic
362	C₂	#11720331	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#6195
commutator	C₃×C₄×C₉	C₄²
Frattini	C₂²×C₃×C₄	D₃²
Fitting, cosocle	C₂²×C₃×C₄×C₉	C₂²
socle, prime radical	C₂³×C₃²	#67
hypercenter	C₂²×C₄	D₃×D₉
hypocenter	C₃×C₉	#340
LCS	G ▷ C₃×C₄×C₉ ▷ 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
10. C₄⋊(C₃⋊Dic₉)	C₄	semidirect
12. C₉×C₄⋊Dic₃	C₄	semidirect
15. C₂×C₃×C₉⋊C₈	C₄	semidirect
62. C₂×C₉⋊C₈	Dic₃	semidirect
149. C₄⋊Dic₃	Dic₉	semidirect
194. C₃×C₉	#340	semidirect
304. C₉	#4551	semidirect
354. C₃	#10588206	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
C₂²×C₃×C₉⋊C₈	2
#10589164	3
#10588206	3