Subgroups — C₃×#5611 #10595708

Order 576.

631 conjugacy classes of subgroups.

The subgroup lattice has 358 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#237	C₂	1	2	yes	maximal, complemented
2	C₃²×#121	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#938	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#935	C₂	1	2	yes	maximal, complemented
5	C₃×D₄×Dic₃	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×C₄×#67	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₃×C₄⋊Dic₃	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×D₃×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#888	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#883	C₂	1	2	yes	maximal, complemented
11	C₃×#878	C₂	1	2	yes	maximal, complemented
12	C₃×#547	—	3	1	no	maximal
13	#5611	C₃	1	1	yes	maximal, characteristic, direct product factor
14	C₂×C₃²×D₄	C₂²	1	1	yes	characteristic
15	C₂×C₃²×D₄	C₂²	1	2	yes	—
16	C₂²×C₃²×C₄	C₂²	1	1	yes	characteristic
17	C₂×C₃×#67	C₂²	1	2	yes	—
18	C₂×C₃×#67	C₂²	1	1	yes	characteristic
19	C₂²×C₃×Dic₃	C₂²	1	2	yes	—
20	C₂²×C₃×Dic₃	C₂²	1	2	yes	—
21	C₃×#237	—	2	8	no	—
22	C₂×C₃×C₄×D₃	C₂²	1	2	yes	—
23	C₂×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
24	C₂×C₃×Dic₆	C₂²	1	2	yes	—
25	C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic
26	C₃²×C₂²⋊C₄	C₂²	1	2	yes	—
27	C₃×#217	C₂²	1	2	yes	—
28	C₃×#217	C₂²	1	2	yes	—
29	C₃×#217	C₂²	1	1	yes	characteristic
30	C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
31	C₃×C₄⋊Dic₃	C₂²	1	2	yes	—
32	C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
33	C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
34	C₃×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
35	C₃×Dic₃⋊C₄	C₂²	1	2	yes	—
36	C₃×Dic₃⋊C₄	C₂²	1	2	yes	—
37	C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic
38	C₂×C₃×#41	—	3	2	no	—
39	C₂×#237	C₂×C₃	1	2	yes	complemented
40	C₃×C₄⋊Q₈	—	3	1	no	—
41	C₃×#123	—	3	2	no	—
42	C₃×#123	—	3	2	no	—
43	C₃×C₂²⋊Q₈	—	3	2	no	—
44	C₃×#121	—	2	1	no	—
45	C₃×#121	—	3	1	no	—
46	C₃×#121	D₃	1	1	yes	characteristic, complemented
47	C₃×#121	C₂×C₃	1	1	yes	characteristic, complemented
48	C₃×C₄×D₄	—	3	1	no	—
49	C₃×C₄×D₄	—	3	1	no	—
50	C₂×C₃×C₄⋊C₄	—	3	1	no	—
51	C₂×C₃×C₄⋊C₄	—	3	1	no	—
52	#938	C₂×C₃	1	1	yes	characteristic, complemented
53	#935	C₂×C₃	1	2	yes	complemented
54	D₄×Dic₃	C₂×C₃	1	1	yes	characteristic, complemented
55	C₄×#67	C₂×C₃	1	1	yes	characteristic, complemented
56	C₂×C₄⋊Dic₃	C₂×C₃	1	1	yes	characteristic, complemented
57	D₃×C₄⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
58	#888	C₂×C₃	1	1	yes	characteristic, complemented
59	#883	C₂×C₃	1	2	yes	complemented
60	#878	C₂×C₃	1	2	yes	complemented
61	C₂³×C₃²	C₂³	1	2	yes	—
62	C₂³×C₃²	C₂³	1	1	yes	characteristic
63	C₂²×C₃×D₃	C₂³	1	1	yes	characteristic
64	C₃²×D₄	—	2	4	no	—
65	C₃²×D₄	—	2	2	no	—
66	C₂×C₃²×C₄	—	2	2	no	—
67	C₂×C₃²×C₄	C₂³	1	2	yes	—
68	C₂×C₃²×C₄	C₂³	1	1	yes	characteristic
69	C₂×C₃²×C₄	C₂³	1	1	yes	characteristic
70	C₃×#67	—	2	4	no	—
71	C₃×#67	D₄	1	4	yes	complemented
72	C₂×C₃×Dic₃	—	2	4	no	—
73	C₂×C₃×Dic₃	—	2	4	no	—
74	C₂×C₃×Dic₃	C₂³	1	1	yes	characteristic
75	C₂×C₃×Dic₃	C₂³	1	1	yes	characteristic
76	C₂×C₃×Dic₃	C₂³	1	2	yes	—
77	C₂×C₃×Dic₃	C₂³	1	2	yes	—
78	C₂×C₃×Dic₃	C₂³	1	1	yes	characteristic
79	C₃×C₄×D₃	—	2	4	no	—
80	C₃×C₄×D₃	—	2	2	no	—
81	C₃×Dic₆	—	2	4	no	—
82	#547	—	3	1	no	Sylow
83	C₃×#41	—	6	8	no	—
84	C₂×C₃×Q₈	—	3	2	no	—
85	C₂×C₃×D₄	—	2	1	no	—
86	C₂×C₃×D₄	—	2	2	no	—
87	C₂×C₃×D₄	—	3	1	no	—
88	C₂×C₃×D₄	—	3	2	no	—
89	C₂×C₃×D₄	C₂×D₃	1	1	yes	characteristic
90	C₂×C₃×D₄	C₂×D₃	1	2	yes	—
91	C₂×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
92	C₂×C₃×D₄	C₂²×C₃	1	2	yes	—
93	C₂²×C₃×C₄	—	2	1	no	—
94	C₂²×C₃×C₄	—	3	2	no	—
95	C₂²×C₃×C₄	—	3	2	no	—
96	C₂²×C₃×C₄	—	3	1	no	—
97	C₂²×C₃×C₄	—	3	2	no	—
98	C₂²×C₃×C₄	C₂×D₃	1	1	yes	characteristic
99	C₂²×C₃×C₄	C₂²×C₃	1	1	yes	characteristic
100	C₂×#67	C₂²×C₃	1	2	yes	—
101	C₂×#67	C₂²×C₃	1	1	yes	characteristic
102	C₂²×Dic₃	C₂²×C₃	1	2	yes	—
103	C₂²×Dic₃	C₂²×C₃	1	2	yes	—
104	#237	—	2	8	no	—
105	C₂×C₄×D₃	C₂²×C₃	1	2	yes	—
106	C₂×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
107	C₂×Dic₆	C₂²×C₃	1	2	yes	—
108	C₃×C₄⋊C₄	—	2	1	no	—
109	C₃×C₄⋊C₄	—	3	2	no	—
110	C₃×C₄⋊C₄	—	3	1	no	—
111	C₃×C₄⋊C₄	—	3	2	no	—
112	C₃×C₄⋊C₄	—	3	1	no	—
113	C₃×C₄⋊C₄	—	3	1	no	—
114	C₃×C₄⋊C₄	—	3	2	no	—
115	C₃×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
116	C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
117	C₃×C₂²⋊C₄	—	2	2	no	—
118	C₃×C₂²⋊C₄	—	3	1	no	—
119	C₃×C₂²⋊C₄	—	3	2	no	—
120	C₃×C₂²⋊C₄	—	3	2	no	—
121	C₃×C₂²⋊C₄	—	3	1	no	—
122	C₃×C₂²⋊C₄	C₂×D₃	1	2	yes	—
123	C₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
124	C₃×C₄²	—	3	1	no	—
125	#217	C₂²×C₃	1	2	yes	—
126	#217	C₂²×C₃	1	2	yes	—
127	#217	C₂²×C₃	1	1	yes	characteristic
128	(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic
129	C₄⋊Dic₃	C₂²×C₃	1	2	yes	—
130	C₄⋊Dic₃	C₂²×C₃	1	1	yes	characteristic
131	C₄⋊Dic₃	C₂²×C₃	1	1	yes	characteristic
132	Dic₃⋊C₄	C₂²×C₃	1	1	yes	characteristic
133	Dic₃⋊C₄	C₂²×C₃	1	2	yes	—
134	Dic₃⋊C₄	C₂²×C₃	1	2	yes	—
135	C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
136	C₂²×C₃²	—	2	1	no	—
137	C₂²×C₃²	—	2	1	no	—
138	C₂²×C₃²	—	2	2	no	—
139	C₂²×C₃²	—	2	2	no	—
140	C₂²×C₃²	—	2	2	no	—
141	C₂²×C₃²	C₂×D₄	1	2	yes	—
142	C₂²×C₃²	C₂⁴	1	1	yes	characteristic
143	C₂×C₃×D₃	—	2	1	no	—
144	C₂×C₃×D₃	—	2	1	no	—
145	C₂×C₃×D₃	C₂×D₄	1	2	yes	—
146	C₃²×C₄	—	2	2	no	—
147	C₃²×C₄	—	2	1	no	—
148	C₃²×C₄	#41	1	2	yes	complemented
149	C₃×Dic₃	—	2	2	no	—
150	C₃×Dic₃	—	2	2	no	—
151	C₃×Dic₃	—	2	1	no	—
152	C₃×Dic₃	—	2	1	no	—
153	C₃×Dic₃	C₂×D₄	1	2	yes	—
154	C₂×#41	—	3	2	no	—
155	C₄⋊Q₈	—	3	1	no	—
156	#123	—	3	2	no	—
157	#123	—	3	2	no	—
158	C₂²⋊Q₈	—	3	2	no	—
159	#121	—	3	1	no	—
160	#121	C₃×D₃	1	1	yes	characteristic, complemented
161	C₄×D₄	—	3	1	no	—
162	C₄×D₄	—	3	1	no	—
163	C₂×C₄⋊C₄	—	3	1	no	—
164	C₂×C₄⋊C₄	—	3	1	no	—
165	C₂³×C₃	—	2	1	no	—
166	C₂³×C₃	—	2	2	no	—
167	C₂³×C₃	—	3	1	no	—
168	C₂³×C₃	C₂²×D₃	1	2	yes	—
169	C₂³×C₃	C₂²×D₃	1	1	yes	characteristic
170	C₂³×C₃	C₂³×C₃	1	2	yes	—
171	C₂³×C₃	C₂³×C₃	1	1	yes	characteristic
172	C₂²×D₃	C₂³×C₃	1	1	yes	characteristic
173	C₃×Q₈	—	6	4	no	—
174	C₃×D₄	—	2	4	no	—
175	C₃×D₄	—	2	4	no	—
176	C₃×D₄	—	2	2	no	—
177	C₃×D₄	—	2	2	no	—
178	C₃×D₄	—	3	4	no	—
179	C₃×D₄	—	4	2	no	—
180	C₃×D₄	—	4	4	no	—
181	C₃×D₄	—	6	4	no	—
182	C₂×C₃×C₄	—	2	2	no	—
183	C₂×C₃×C₄	—	2	2	no	—
184	C₂×C₃×C₄	—	2	1	no	—
185	C₂×C₃×C₄	—	2	1	no	—
186	C₂×C₃×C₄	—	2	2	no	—
187	C₂×C₃×C₄	—	3	1	no	—
188	C₂×C₃×C₄	—	3	1	no	—
189	C₂×C₃×C₄	—	3	1	no	—
190	C₂×C₃×C₄	—	3	2	no	—
191	C₂×C₃×C₄	—	3	2	no	—
192	C₂×C₃×C₄	—	4	2	no	—
193	C₂×C₃×C₄	—	6	4	no	—
194	C₂×C₃×C₄	—	6	4	no	—
195	C₂×C₃×C₄	—	6	4	no	—
196	C₂×C₃×C₄	—	6	2	no	—
197	C₂×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
198	C₂×C₃×C₄	C₂²×D₃	1	2	yes	—
199	C₂×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
200	C₂×C₃×C₄	C₂³×C₃	1	2	yes	—
201	C₂×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
202	C₂×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
203	#67	—	2	4	no	—
204	#67	C₃×D₄	1	4	yes	complemented
205	C₂×Dic₃	—	2	4	no	—
206	C₂×Dic₃	—	2	4	no	—
207	C₂×Dic₃	C₂³×C₃	1	1	yes	characteristic
208	C₂×Dic₃	C₂³×C₃	1	1	yes	characteristic
209	C₂×Dic₃	C₂³×C₃	1	2	yes	—
210	C₂×Dic₃	C₂³×C₃	1	2	yes	—
211	C₂×Dic₃	C₂³×C₃	1	1	yes	characteristic
212	C₄×D₃	—	2	4	no	—
213	C₄×D₃	—	2	2	no	—
214	Dic₆	—	2	4	no	—
215	C₂×C₃²	—	2	2	no	—
216	C₂×C₃²	—	4	2	no	—
217	C₂×C₃²	C₂²×D₄	1	1	yes	characteristic
218	C₂×C₃²	C₂×#41	1	1	yes	characteristic
219	C₂×C₃²	2₋¹⁺⁴	1	1	yes	characteristic
220	C₃×D₃	—	2	2	no	—
221	#41	—	6	8	no	—
222	C₂×Q₈	—	3	2	no	—
223	C₂×D₄	—	3	1	no	—
224	C₂×D₄	—	3	2	no	—
225	C₂×D₄	C₂×C₃×D₃	1	1	yes	characteristic
226	C₂×D₄	C₂×C₃×D₃	1	2	yes	—
227	C₂²×C₄	—	3	2	no	—
228	C₂²×C₄	—	3	2	no	—
229	C₂²×C₄	—	3	1	no	—
230	C₂²×C₄	—	3	2	no	—
231	C₂²×C₄	C₂×C₃×D₃	1	1	yes	characteristic
232	C₄⋊C₄	—	3	1	no	—
233	C₄⋊C₄	—	3	1	no	—
234	C₄⋊C₄	—	3	2	no	—
235	C₄⋊C₄	—	3	2	no	—
236	C₄⋊C₄	—	3	1	no	—
237	C₄⋊C₄	—	3	2	no	—
238	C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic
239	C₂²⋊C₄	—	3	1	no	—
240	C₂²⋊C₄	—	3	2	no	—
241	C₂²⋊C₄	—	3	2	no	—
242	C₂²⋊C₄	—	3	1	no	—
243	C₂²⋊C₄	C₂×C₃×D₃	1	2	yes	—
244	C₄²	—	3	1	no	—
245	C₂²×C₃	—	2	1	no	—
246	C₂²×C₃	—	2	1	no	—
247	C₂²×C₃	—	2	1	no	—
248	C₂²×C₃	—	2	1	no	—
249	C₂²×C₃	—	2	2	no	—
250	C₂²×C₃	—	2	2	no	—
251	C₂²×C₃	—	2	2	no	—
252	C₂²×C₃	—	2	2	no	—
253	C₂²×C₃	—	2	2	no	—
254	C₂²×C₃	—	2	2	no	—
255	C₂²×C₃	—	2	1	no	—
256	C₂²×C₃	—	2	2	no	—
257	C₂²×C₃	—	3	2	no	—
258	C₂²×C₃	—	4	1	no	—
259	C₂²×C₃	—	4	1	no	—
260	C₂²×C₃	—	4	2	no	—
261	C₂²×C₃	—	4	2	no	—
262	C₂²×C₃	—	4	2	no	—
263	C₂²×C₃	—	6	1	no	—
264	C₂²×C₃	—	6	1	no	—
265	C₂²×C₃	D₃×D₄	1	2	yes	—
266	C₂²×C₃	C₂×C₃×D₄	1	2	yes	—
267	C₂²×C₃	C₂³×D₃	1	1	yes	characteristic
268	C₂²×C₃	C₂⁴×C₃	1	1	yes	characteristic
269	C₂×D₃	—	2	1	no	—
270	C₂×D₃	—	2	1	no	—
271	C₂×D₃	C₂×C₃×D₄	1	2	yes	—
272	C₃×C₄	—	2	2	no	—
273	C₃×C₄	—	2	1	no	—
274	C₃×C₄	—	2	2	no	—
275	C₃×C₄	—	2	1	no	—
276	C₃×C₄	—	2	2	no	—
277	C₃×C₄	—	3	2	no	—
278	C₃×C₄	—	4	1	no	—
279	C₃×C₄	—	4	2	no	—
280	C₃×C₄	—	6	2	no	—
281	C₃×C₄	—	6	2	no	—
282	C₃×C₄	—	6	1	no	—
283	C₃×C₄	—	6	1	no	—
284	C₃×C₄	#237	1	2	yes	complemented
285	C₃×C₄	C₃×#41	1	2	yes	complemented
286	Dic₃	—	2	2	no	—
287	Dic₃	—	2	2	no	—
288	Dic₃	—	2	1	no	—
289	Dic₃	—	2	1	no	—
290	Dic₃	C₂×C₃×D₄	1	2	yes	—
291	C₃²	#547	1	1	yes	characteristic, complemented, Sylow
292	C₂³	—	3	1	no	—
293	C₂³	C₂²×C₃×D₃	1	2	yes	—
294	C₂³	C₂²×C₃×D₃	1	1	yes	characteristic
295	Q₈	—	6	4	no	—
296	D₄	—	2	4	no	—
297	D₄	—	2	2	no	—
298	D₄	—	3	4	no	—
299	D₄	—	6	4	no	—
300	C₂×C₄	—	2	2	no	—
301	C₂×C₄	—	3	1	no	—
302	C₂×C₄	—	3	1	no	—
303	C₂×C₄	—	3	1	no	—
304	C₂×C₄	—	3	2	no	—
305	C₂×C₄	—	3	2	no	—
306	C₂×C₄	—	6	4	no	—
307	C₂×C₄	—	6	4	no	—
308	C₂×C₄	—	6	4	no	—
309	C₂×C₄	—	6	2	no	—
310	C₂×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
311	C₂×C₄	C₂²×C₃×D₃	1	2	yes	—
312	C₂×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
313	C₂×C₃	—	2	2	no	—
314	C₂×C₃	—	2	2	no	—
315	C₂×C₃	—	2	1	no	—
316	C₂×C₃	—	2	1	no	—
317	C₂×C₃	—	2	1	no	—
318	C₂×C₃	—	4	2	no	—
319	C₂×C₃	—	4	2	no	—
320	C₂×C₃	—	4	2	no	—
321	C₂×C₃	—	6	2	no	—
322	C₂×C₃	—	8	2	no	—
323	C₂×C₃	C₂×D₃×D₄	1	1	yes	characteristic
324	C₂×C₃	C₂×#237	1	1	yes	characteristic
325	C₂×C₃	#1010	1	1	yes	characteristic
326	C₂×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
327	C₂×C₃	C₂×C₃×#41	1	1	yes	characteristic
328	C₂×C₃	C₃×2₋¹⁺⁴	1	1	yes	characteristic
329	D₃	—	2	2	no	—
330	C₂²	—	2	1	no	—
331	C₂²	—	2	1	no	—
332	C₂²	—	2	2	no	—
333	C₂²	—	2	2	no	—
334	C₂²	—	2	2	no	—
335	C₂²	—	3	2	no	—
336	C₂²	—	6	1	no	—
337	C₂²	—	6	1	no	—
338	C₂²	C₃×D₃×D₄	1	2	yes	—
339	C₂²	C₂³×C₃×D₃	1	1	yes	characteristic
340	C₄	—	2	2	no	—
341	C₄	—	2	1	no	—
342	C₄	—	3	2	no	—
343	C₄	—	6	2	no	—
344	C₄	—	6	2	no	—
345	C₄	—	6	1	no	—
346	C₄	—	6	1	no	—
347	C₄	C₃×#237	1	2	yes	complemented
348	C₃	—	2	1	no	—
349	C₃	#5611	1	1	yes	characteristic, direct product factor
350	C₃	C₃×#547	1	1	yes	characteristic, complemented
351	C₂	—	2	2	no	—
352	C₂	—	4	2	no	—
353	C₂	—	6	2	no	—
354	C₂	C₂×C₃×D₃×D₄	1	1	yes	characteristic
355	C₂	C₂×C₃×#237	1	1	yes	characteristic
356	C₂	C₃×#1010	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂³×D₃
commutator, cosocle	C₂²×C₃	C₂⁴×C₃
Frattini	C₂²	C₂³×C₃×D₃
Fitting	C₃²×#121	C₂
socle	C₂²×C₃²	C₂⁴
hypercenter	C₃×#121	D₃
hypocenter	C₃	C₃×#547
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#121

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#237	C₂	semidirect
2. C₃²×#121	C₂	semidirect
3. C₃×#938	C₂	semidirect
4. C₃×#935	C₂	semidirect
5. C₃×D₄×Dic₃	C₂	semidirect
6. C₃×C₄×#67	C₂	semidirect
7. C₂×C₃×C₄⋊Dic₃	C₂	semidirect
8. C₃×D₃×C₄⋊C₄	C₂	semidirect
9. C₃×#888	C₂	semidirect
10. C₃×#883	C₂	semidirect
11. C₃×#878	C₂	semidirect
13. #5611	C₃	direct (N × H)
39. C₂×#237	C₂×C₃	semidirect
46. C₃×#121	D₃	semidirect
47. C₃×#121	C₂×C₃	semidirect
52. #938	C₂×C₃	semidirect
53. #935	C₂×C₃	semidirect
54. D₄×Dic₃	C₂×C₃	semidirect
55. C₄×#67	C₂×C₃	semidirect
56. C₂×C₄⋊Dic₃	C₂×C₃	semidirect
57. D₃×C₄⋊C₄	C₂×C₃	semidirect
58. #888	C₂×C₃	semidirect
59. #883	C₂×C₃	semidirect
60. #878	C₂×C₃	semidirect
71. C₃×#67	D₄	semidirect
148. C₃²×C₄	#41	semidirect
160. #121	C₃×D₃	semidirect
204. #67	C₃×D₄	semidirect
284. C₃×C₄	#237	semidirect
285. C₃×C₄	C₃×#41	semidirect
291. C₃²	#547	semidirect
347. C₄	C₃×#237	semidirect
349. C₃	#5611	direct (N × H)
350. C₃	C₃×#547	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#237	2
C₃²×#121	2
C₃×#938	2
C₃×#935	2
C₃×D₄×Dic₃	2
C₃×C₄×#67	2
C₂×C₃×C₄⋊Dic₃	2
C₃×D₃×C₄⋊C₄	2
C₃×#888	2
C₃×#883	2
C₃×#878	2
C₃×#547	3
#5611	3

Subgroups — C3×#5611 #10595708

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#5611 #10595708