Subgroups — C₃⋊D₃×#235 #11724577

Order 864.

1144 conjugacy classes of subgroups.

The subgroup lattice has 360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#89076	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×C₄×C₃⋊D₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃²×#235	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃⋊D₃×#67	C₂	1	2	yes	maximal, complemented
5	#89028	C₂	1	2	yes	maximal, complemented
6	C₃⋊D₃×D₁₂	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄×D₃×C₃⋊D₃	C₂	1	2	yes	maximal, complemented
8	#89020	C₂	1	2	yes	maximal, complemented
9	#89018	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃⋊D₃×Dic₆	C₂	1	1	yes	maximal, characteristic, complemented
11	#89014	C₂	1	1	yes	maximal, characteristic, complemented
12	#41×C₃⋊D₃	—	3	1	no	maximal
13	D₃×#235	—	3	4	no	maximal
14	C₂²×C₃×C₃⋊D₃	C₂²	1	1	yes	characteristic
15	C₂×D₃×C₃⋊D₃	C₂²	1	2	yes	—
16	C₂×C₃³×C₄	C₂²	1	1	yes	characteristic, complemented
17	#6312	C₂²	1	2	yes	complemented
18	C₄⋊(C₃⋊(C₃⋊D₃))	C₂²	1	1	yes	characteristic, complemented
19	C₄×C₃⋊(C₃⋊D₃)	C₂²	1	2	yes	complemented
20	#6308	C₂²	1	1	yes	characteristic, complemented
21	C₂×C₃×C₃⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
22	C₃×C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
23	C₃×C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic
24	C₃×C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
25	C₃×C₄×C₃⋊D₃	C₂²	1	1	yes	characteristic, complemented
26	C₃²×#67	C₂²	1	2	yes	complemented
27	C₃²×D₁₂	C₂²	1	1	yes	characteristic, complemented
28	C₃²×C₄×D₃	C₂²	1	2	yes	complemented
29	C₃²×Dic₆	C₂²	1	1	yes	characteristic, complemented
30	#6293	C₂²	1	2	yes	complemented
31	#6292	C₂²	1	2	yes	complemented
32	#6291	C₂²	1	2	yes	complemented
33	#6290	C₂²	1	2	yes	complemented
34	#6289	C₂²	1	2	yes	complemented
35	Dic₃×C₃⋊D₃	C₂²	1	2	yes	—
36	D₃×C₃⋊Dic₃	C₂²	1	2	yes	complemented
37	C₃²×#41	—	3	1	no	—
38	#3832	—	3	1	no	—
39	Q₈×C₃⋊D₃	—	3	1	no	—
40	#3830	—	3	2	no	—
41	#3830	—	3	1	no	—
42	D₄×C₃⋊D₃	—	3	2	no	—
43	D₄×C₃⋊D₃	—	3	1	no	—
44	#3828	—	3	1	no	—
45	#3828	—	3	4	no	—
46	#3828	—	3	2	no	—
47	#3828	—	6	4	no	—
48	C₂×C₄×C₃⋊D₃	—	3	2	no	—
49	C₂×C₄×C₃⋊D₃	D₃	1	1	yes	characteristic, complemented
50	C₃×#235	D₃	1	4	yes	complemented
51	C₂×C₃×C₄×D₃	—	3	4	no	—
52	D₃×#67	—	3	8	no	—
53	#3804	—	3	8	no	—
54	D₃×D₁₂	—	3	4	no	—
55	C₄×D₃²	—	3	8	no	—
56	#3799	—	3	4	no	—
57	#3798	—	3	8	no	—
58	#3795	—	3	4	no	—
59	D₃×Dic₆	—	3	4	no	—
60	C₂²×C₃³	C₂³	1	1	yes	characteristic
61	C₂×C₃⋊(C₃⋊D₃)	C₂³	1	2	yes	—
62	C₂×C₃×C₃⋊D₃	—	2	2	no	—
63	C₂×C₃×C₃⋊D₃	C₂³	1	1	yes	characteristic
64	C₂×C₃×C₃⋊D₃	C₂³	1	1	yes	characteristic
65	C₂×C₃²×D₃	C₂³	1	2	yes	—
66	D₃×C₃⋊D₃	—	2	4	no	—
67	C₃³×C₄	C₂³	1	1	yes	characteristic
68	C₃³×C₄	C₂³	1	1	yes	characteristic
69	C₃⋊(C₃⋊Dic₃)	C₂³	1	2	yes	—
70	C₃×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
71	C₃×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
72	C₃²×Dic₃	C₂³	1	2	yes	—
73	D₃×#41	—	9	4	no	—
74	C₂×#235	—	9	1	no	—
75	C₂²×C₃⋊D₃	—	3	2	no	—
76	C₂²×C₃⋊D₃	C₂×D₃	1	1	yes	characteristic
77	C₂²×C₃×D₃	—	3	4	no	—
78	C₂×D₃²	—	3	8	no	—
79	C₃²×Q₈	—	3	1	no	—
80	C₃²×D₄	—	3	2	no	—
81	C₃²×D₄	—	3	1	no	—
82	C₂×C₃²×C₄	—	2	4	no	—
83	C₂×C₃²×C₄	—	3	2	no	—
84	C₂×C₃²×C₄	C₂×D₃	1	4	yes	complemented
85	C₂×C₃²×C₄	C₂×D₃	1	1	yes	characteristic, complemented
86	#638	—	3	2	no	—
87	#638	—	3	2	no	—
88	#638	—	3	2	no	—
89	#638	—	3	8	no	—
90	#638	—	6	8	no	—
91	C₂×C₃⋊Dic₃	—	3	2	no	—
92	C₂×C₃⋊Dic₃	C₂×D₃	1	1	yes	characteristic, complemented
93	C₄⋊(C₃⋊D₃)	—	3	2	no	—
94	C₄⋊(C₃⋊D₃)	—	3	1	no	—
95	C₄⋊(C₃⋊D₃)	—	3	4	no	—
96	C₄⋊(C₃⋊D₃)	—	6	4	no	—
97	C₄×C₃⋊D₃	—	3	2	no	—
98	C₄×C₃⋊D₃	—	3	2	no	—
99	C₄×C₃⋊D₃	—	3	2	no	—
100	C₄×C₃⋊D₃	—	3	8	no	—
101	C₄×C₃⋊D₃	—	6	8	no	—
102	C₄×C₃⋊D₃	C₂×D₃	1	1	yes	characteristic
103	C₄×C₃⋊D₃	C₂×D₃	1	1	yes	characteristic
104	C₄×C₃⋊D₃	C₂×D₃	1	1	yes	characteristic, complemented
105	C₄×C₃⋊D₃	C₂×D₃	1	1	yes	characteristic, complemented
106	#634	—	3	1	no	—
107	#634	—	3	2	no	—
108	#634	—	3	4	no	—
109	#634	—	6	4	no	—
110	C₃×#67	C₂×D₃	1	8	yes	complemented
111	C₂×C₃×Dic₃	—	3	4	no	—
112	C₃×D₁₂	C₂×D₃	1	4	yes	complemented
113	C₃×C₄×D₃	—	3	4	no	—
114	C₃×C₄×D₃	—	3	4	no	—
115	C₃×C₄×D₃	—	3	4	no	—
116	C₃×C₄×D₃	—	3	4	no	—
117	C₃×C₄×D₃	C₂×D₃	1	8	yes	complemented
118	C₃×Dic₆	C₂×D₃	1	4	yes	complemented
119	#627	—	3	8	no	—
120	#626	—	3	8	no	—
121	#626	—	3	8	no	—
122	#625	—	3	8	no	—
123	#624	—	3	8	no	—
124	D₃×Dic₃	—	3	8	no	—
125	D₃×Dic₃	—	3	8	no	—
126	C₂×C₃³	—	2	1	no	—
127	C₂×C₃³	C₂⁴	1	1	yes	characteristic
128	C₃⋊(C₃⋊D₃)	—	2	2	no	—
129	C₃×C₃⋊D₃	—	2	1	no	—
130	C₃×C₃⋊D₃	#41	1	2	yes	complemented
131	C₃²×D₃	—	2	2	no	—
132	C₃×#41	—	3	4	no	—
133	C₂²×C₃×C₄	—	9	1	no	—
134	C₂×#67	—	9	2	no	—
135	#239	—	9	4	no	—
136	D₃×Q₈	—	9	4	no	—
137	#237	—	9	4	no	—
138	#237	—	9	8	no	—
139	D₃×D₄	—	9	4	no	—
140	D₃×D₄	—	9	8	no	—
141	#235	—	9	8	no	—
142	#235	—	9	4	no	—
143	#235	—	9	1	no	—
144	#235	—	9	2	no	—
145	#235	—	9	1	no	—
146	#235	—	9	2	no	—
147	#235	—	9	1	no	—
148	#235	—	18	4	no	—
149	#235	C₃⋊D₃	1	1	yes	characteristic, direct product factor
150	C₂×D₁₂	—	9	1	no	—
151	C₂×C₄×D₃	—	3	4	no	—
152	C₂×C₄×D₃	—	9	8	no	—
153	C₂×C₄×D₃	—	9	2	no	—
154	C₂×Dic₆	—	9	1	no	—
155	C₂²×C₃²	—	2	4	no	—
156	C₂²×C₃²	—	3	2	no	—
157	C₂²×C₃²	C₂²×D₃	1	4	yes	—
158	C₂²×C₃²	C₂²×D₃	1	1	yes	characteristic
159	C₂×C₃⋊D₃	—	2	2	no	—
160	C₂×C₃⋊D₃	—	3	2	no	—
161	C₂×C₃⋊D₃	—	3	8	no	—
162	C₂×C₃⋊D₃	—	6	8	no	—
163	C₂×C₃⋊D₃	—	6	4	no	—
164	C₂×C₃⋊D₃	C₂²×D₃	1	1	yes	characteristic
165	C₂×C₃⋊D₃	C₂²×D₃	1	1	yes	characteristic
166	C₂×C₃×D₃	—	3	4	no	—
167	C₂×C₃×D₃	—	3	4	no	—
168	C₂×C₃×D₃	—	6	8	no	—
169	C₂×C₃×D₃	C₂²×D₃	1	8	yes	—
170	D₃²	—	6	16	no	—
171	C₃²×C₄	—	2	4	no	—
172	C₃²×C₄	—	2	4	no	—
173	C₃²×C₄	—	3	2	no	—
174	C₃²×C₄	C₂²×D₃	1	4	yes	—
175	C₃²×C₄	C₂²×D₃	1	4	yes	—
176	C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
177	C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
178	C₃⋊Dic₃	—	3	2	no	—
179	C₃⋊Dic₃	—	3	8	no	—
180	C₃⋊Dic₃	—	6	8	no	—
181	C₃⋊Dic₃	C₂²×D₃	1	1	yes	characteristic
182	C₃⋊Dic₃	C₂²×D₃	1	1	yes	characteristic
183	C₃×Dic₃	—	3	4	no	—
184	C₃×Dic₃	—	3	4	no	—
185	C₃×Dic₃	C₂²×D₃	1	8	yes	—
186	C₂×#41	—	27	1	no	Sylow
187	C₃³	C₂×#41	1	1	yes	characteristic, complemented, Sylow
188	C₂³×C₃	—	9	1	no	—
189	C₂²×D₃	—	3	4	no	—
190	C₂²×D₃	—	9	8	no	—
191	C₂²×D₃	—	9	2	no	—
192	C₃×Q₈	—	3	4	no	—
193	C₃×D₄	—	3	8	no	—
194	C₃×D₄	—	3	4	no	—
195	C₂×C₃×C₄	—	2	4	no	—
196	C₂×C₃×C₄	—	3	8	no	—
197	C₂×C₃×C₄	—	9	1	no	—
198	C₂×C₃×C₄	—	9	1	no	—
199	C₂×C₃×C₄	—	9	1	no	—
200	C₂×C₃×C₄	—	9	1	no	—
201	C₂×C₃×C₄	—	9	1	no	—
202	C₂×C₃×C₄	D₃²	1	4	yes	complemented
203	C₂×C₃×C₄	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
204	#67	—	9	8	no	—
205	#67	—	9	8	no	—
206	#67	—	9	8	no	—
207	#67	—	9	2	no	—
208	#67	—	9	2	no	—
209	#67	—	9	2	no	—
210	#67	—	18	8	no	—
211	#67	C₂×C₃⋊D₃	1	2	yes	complemented
212	C₂×Dic₃	—	3	4	no	—
213	C₂×Dic₃	—	9	8	no	—
214	C₂×Dic₃	—	9	2	no	—
215	D₁₂	—	9	8	no	—
216	D₁₂	—	9	2	no	—
217	D₁₂	—	9	4	no	—
218	D₁₂	—	9	1	no	—
219	D₁₂	—	18	4	no	—
220	D₁₂	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
221	C₄×D₃	—	3	4	no	—
222	C₄×D₃	—	3	4	no	—
223	C₄×D₃	—	3	4	no	—
224	C₄×D₃	—	3	4	no	—
225	C₄×D₃	—	9	8	no	—
226	C₄×D₃	—	9	8	no	—
227	C₄×D₃	—	9	2	no	—
228	C₄×D₃	—	9	8	no	—
229	C₄×D₃	—	9	2	no	—
230	C₄×D₃	—	9	2	no	—
231	C₄×D₃	—	18	8	no	—
232	C₄×D₃	C₂×C₃⋊D₃	1	2	yes	complemented
233	Dic₆	—	9	8	no	—
234	Dic₆	—	9	4	no	—
235	Dic₆	—	9	1	no	—
236	Dic₆	—	9	2	no	—
237	Dic₆	—	18	4	no	—
238	Dic₆	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
239	C₂×C₃²	—	2	1	no	—
240	C₂×C₃²	—	2	4	no	—
241	C₂×C₃²	—	2	4	no	—
242	C₂×C₃²	—	4	4	no	—
243	C₂×C₃²	—	6	2	no	—
244	C₂×C₃²	C₂³×D₃	1	4	yes	—
245	C₂×C₃²	C₂³×D₃	1	1	yes	characteristic
246	C₃⋊D₃	—	2	1	no	—
247	C₃⋊D₃	—	6	2	no	—
248	C₃⋊D₃	—	6	8	no	—
249	C₃⋊D₃	—	12	8	no	—
250	C₃⋊D₃	#235	1	2	yes	direct product factor
251	C₃×D₃	—	2	8	no	—
252	C₃×D₃	—	3	8	no	—
253	C₃×D₃	—	6	4	no	—
254	#41	—	3	1	no	—
255	#41	—	27	2	no	—
256	#41	—	27	2	no	—
257	#41	—	27	1	no	—
258	#41	—	27	1	no	—
259	#41	—	27	1	no	—
260	C₂×Q₈	—	27	1	no	—
261	C₂×D₄	—	27	1	no	—
262	C₂×D₄	—	27	2	no	—
263	C₂²×C₄	—	9	1	no	—
264	C₂²×C₄	—	27	2	no	—
265	C₂²×C₃	—	2	4	no	—
266	C₂²×C₃	—	3	8	no	—
267	C₂²×C₃	—	9	1	no	—
268	C₂²×C₃	—	9	1	no	—
269	C₂²×C₃	—	18	2	no	—
270	C₂²×C₃	C₂×D₃²	1	4	yes	—
271	C₂²×C₃	C₂²×C₃⋊D₃	1	1	yes	characteristic
272	C₂×D₃	—	3	4	no	—
273	C₂×D₃	—	3	4	no	—
274	C₂×D₃	—	6	8	no	—
275	C₂×D₃	—	9	8	no	—
276	C₂×D₃	—	9	2	no	—
277	C₂×D₃	—	18	8	no	—
278	C₂×D₃	—	18	4	no	—
279	C₂×D₃	—	18	16	no	—
280	C₂×D₃	C₂²×C₃⋊D₃	1	2	yes	—
281	C₃×C₄	—	2	4	no	—
282	C₃×C₄	—	2	4	no	—
283	C₃×C₄	—	3	8	no	—
284	C₃×C₄	—	9	1	no	—
285	C₃×C₄	—	9	1	no	—
286	C₃×C₄	C₂×D₃²	1	4	yes	—
287	C₃×C₄	C₂×D₃²	1	4	yes	—
288	C₃×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
289	C₃×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
290	Dic₃	—	3	4	no	—
291	Dic₃	—	3	4	no	—
292	Dic₃	—	9	8	no	—
293	Dic₃	—	9	2	no	—
294	Dic₃	—	18	8	no	—
295	Dic₃	C₂²×C₃⋊D₃	1	2	yes	—
296	C₃²	—	2	4	no	—
297	C₃²	C₂×#235	1	1	yes	characteristic, complemented
298	C₃²	D₃×#41	1	4	yes	complemented
299	C₂³	—	9	1	no	—
300	C₂³	—	27	2	no	—
301	Q₈	—	3	1	no	—
302	Q₈	—	27	2	no	—
303	Q₈	—	27	1	no	—
304	D₄	—	3	2	no	—
305	D₄	—	3	1	no	—
306	D₄	—	27	2	no	—
307	D₄	—	27	2	no	—
308	D₄	—	27	2	no	—
309	D₄	—	27	2	no	—
310	D₄	—	27	1	no	—
311	C₂×C₄	—	3	2	no	—
312	C₂×C₄	—	9	1	no	—
313	C₂×C₄	—	9	1	no	—
314	C₂×C₄	—	9	1	no	—
315	C₂×C₄	—	9	1	no	—
316	C₂×C₄	—	9	1	no	—
317	C₂×C₄	—	27	2	no	—
318	C₂×C₄	—	27	2	no	—
319	C₂×C₄	—	27	2	no	—
320	C₂×C₄	—	27	2	no	—
321	C₂×C₄	D₃×C₃⋊D₃	1	1	yes	characteristic, complemented
322	C₂×C₃	—	2	4	no	—
323	C₂×C₃	—	2	1	no	—
324	C₂×C₃	—	2	4	no	—
325	C₂×C₃	—	4	4	no	—
326	C₂×C₃	—	6	8	no	—
327	C₂×C₃	—	9	2	no	—
328	C₂×C₃	—	18	1	no	—
329	C₂×C₃	C₂²×D₃²	1	4	yes	—
330	C₂×C₃	C₂³×C₃⋊D₃	1	1	yes	characteristic
331	D₃	—	2	2	no	—
332	D₃	—	3	8	no	—
333	D₃	—	6	4	no	—
334	D₃	—	18	8	no	—
335	D₃	—	18	2	no	—
336	D₃	—	36	8	no	—
337	C₂²	—	3	2	no	—
338	C₂²	—	9	1	no	—
339	C₂²	—	9	1	no	—
340	C₂²	—	18	2	no	—
341	C₂²	—	27	2	no	—
342	C₂²	—	54	4	no	—
343	C₂²	C₂×D₃×C₃⋊D₃	1	1	yes	characteristic
344	C₄	—	3	2	no	—
345	C₄	—	9	1	no	—
346	C₄	—	9	1	no	—
347	C₄	—	27	2	no	—
348	C₄	C₂×D₃×C₃⋊D₃	1	1	yes	characteristic
349	C₄	C₂×D₃×C₃⋊D₃	1	1	yes	characteristic
350	C₃	—	2	4	no	—
351	C₃	D₃×#235	1	4	yes	complemented
352	C₃	#41×C₃⋊D₃	1	1	yes	characteristic, complemented
353	C₂	—	2	1	no	—
354	C₂	—	6	2	no	—
355	C₂	—	9	2	no	—
356	C₂	—	18	1	no	—
357	C₂	—	54	2	no	—
358	C₂	C₂²×D₃×C₃⋊D₃	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂×D₃×C₃⋊D₃
commutator, socle, cosocle	C₂×C₃³	C₂⁴
Frattini	C₂	C₂²×D₃×C₃⋊D₃
Fitting	C₂×C₃³×C₄	C₂²
hypercenter	C₂×C₄	D₃×C₃⋊D₃
hypocenter	C₃³	C₂×#41
LCS	G ▷ C₂×C₃³ ▷ C₃³
UCS	C₁ ◁ C₄ ◁ C₂×C₄

Complements

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

N	H ≅ G/N	type
1. #89076	C₂	semidirect
2. C₂×C₃×C₄×C₃⋊D₃	C₂	semidirect
3. C₃²×#235	C₂	semidirect
4. C₃⋊D₃×#67	C₂	semidirect
5. #89028	C₂	semidirect
6. C₃⋊D₃×D₁₂	C₂	semidirect
7. C₄×D₃×C₃⋊D₃	C₂	semidirect
8. #89020	C₂	semidirect
9. #89018	C₂	semidirect
10. C₃⋊D₃×Dic₆	C₂	semidirect
11. #89014	C₂	semidirect
16. C₂×C₃³×C₄	C₂²	semidirect
17. #6312	C₂²	semidirect
18. C₄⋊(C₃⋊(C₃⋊D₃))	C₂²	semidirect
19. C₄×C₃⋊(C₃⋊D₃)	C₂²	semidirect
20. #6308	C₂²	semidirect
21. C₂×C₃×C₃⋊Dic₃	C₂²	semidirect
24. C₃×C₄×C₃⋊D₃	C₂²	semidirect
25. C₃×C₄×C₃⋊D₃	C₂²	semidirect
26. C₃²×#67	C₂²	semidirect
27. C₃²×D₁₂	C₂²	semidirect
28. C₃²×C₄×D₃	C₂²	semidirect
29. C₃²×Dic₆	C₂²	semidirect
30. #6293	C₂²	semidirect
31. #6292	C₂²	semidirect
32. #6291	C₂²	semidirect
33. #6290	C₂²	semidirect
34. #6289	C₂²	semidirect
36. D₃×C₃⋊Dic₃	C₂²	semidirect
49. C₂×C₄×C₃⋊D₃	D₃	semidirect
50. C₃×#235	D₃	semidirect
84. C₂×C₃²×C₄	C₂×D₃	semidirect
85. C₂×C₃²×C₄	C₂×D₃	semidirect
92. C₂×C₃⋊Dic₃	C₂×D₃	semidirect
104. C₄×C₃⋊D₃	C₂×D₃	semidirect
105. C₄×C₃⋊D₃	C₂×D₃	semidirect
110. C₃×#67	C₂×D₃	semidirect
112. C₃×D₁₂	C₂×D₃	semidirect
117. C₃×C₄×D₃	C₂×D₃	semidirect
118. C₃×Dic₆	C₂×D₃	semidirect
130. C₃×C₃⋊D₃	#41	semidirect
149. #235	C₃⋊D₃	direct (N × H)
187. C₃³	C₂×#41	semidirect
202. C₂×C₃×C₄	D₃²	semidirect
203. C₂×C₃×C₄	C₂×C₃⋊D₃	semidirect
211. #67	C₂×C₃⋊D₃	semidirect
220. D₁₂	C₂×C₃⋊D₃	semidirect
232. C₄×D₃	C₂×C₃⋊D₃	semidirect
238. Dic₆	C₂×C₃⋊D₃	semidirect
250. C₃⋊D₃	#235	direct (N × H)
297. C₃²	C₂×#235	semidirect
298. C₃²	D₃×#41	semidirect
321. C₂×C₄	D₃×C₃⋊D₃	semidirect
351. C₃	D₃×#235	semidirect
352. C₃	#41×C₃⋊D₃	semidirect

Maximal subgroups

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

subgroup	index
#89076	2
C₂×C₃×C₄×C₃⋊D₃	2
C₃²×#235	2
C₃⋊D₃×#67	2
#89028	2
C₃⋊D₃×D₁₂	2
C₄×D₃×C₃⋊D₃	2
#89020	2
#89018	2
C₃⋊D₃×Dic₆	2
#89014	2
#41×C₃⋊D₃	3
D₃×#235	3

Subgroups — C3⋊D3×#235 #11724577

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃⋊D₃×#235 #11724577