Subgroups — C₂×#11722034 #13160318

Order 1728.

1580 conjugacy classes of subgroups.

The subgroup lattice has 344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₃×C₄⋊(C₃⋊D₃)	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄⋊(C₃⋊(C₃⋊Dic₃))	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₃²×C₃⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
4	#11722034	C₂	1	4	yes	maximal, direct product factor
5	C₂×#63648	—	3	1	no	maximal
6	C₂×#63563	—	3	4	no	maximal
7	C₂³×C₃×C₃⋊D₃	—	2	1	no	—
8	C₂²×C₃³×C₄	C₂²	1	1	yes	characteristic
9	C₂²×C₃⋊(C₃⋊Dic₃)	—	2	1	no	—
10	C₂×C₃×C₄⋊(C₃⋊D₃)	—	2	1	no	—
11	C₂×C₃×C₄⋊(C₃⋊D₃)	—	2	2	no	—
12	C₂×C₃×C₄⋊(C₃⋊D₃)	C₄	1	4	yes	complemented
13	C₂×C₃×C₄⋊(C₃⋊D₃)	C₂²	1	2	yes	—
14	C₄⋊(C₃⋊(C₃⋊Dic₃))	—	2	1	no	—
15	C₄⋊(C₃⋊(C₃⋊Dic₃))	C₂²	1	2	yes	complemented
16	C₂×C₃²×C₃⋊C₈	—	2	2	no	—
17	C₂×C₃²×C₃⋊C₈	C₂²	1	2	yes	complemented
18	C₂²×C₄⋊(C₃⋊D₃)	D₃	1	1	yes	characteristic
19	C₂²×C₃×D₁₂	—	3	4	no	—
20	C₂²×C₃²×C₈	—	3	1	no	—
21	C₂×C₄⋊(C₃⋊Dic₃)	—	3	1	no	—
22	C₂×C₄⋊(C₃⋊Dic₃)	—	3	4	no	—
23	C₂×C₄⋊(C₃⋊Dic₃)	—	6	4	no	—
24	C₂²×C₃×C₃⋊C₈	D₃	1	4	yes	complemented
25	#63648	—	3	4	no	—
26	#63563	—	3	16	no	—
27	C₂³×C₃³	D₄	1	1	yes	characteristic
28	C₂²×C₃×C₃⋊D₃	—	2	4	no	—
29	C₂²×C₃×C₃⋊D₃	—	2	2	no	—
30	C₂²×C₃×C₃⋊D₃	—	4	2	no	—
31	C₂²×C₃×C₃⋊D₃	—	4	2	no	—
32	C₂×C₃³×C₄	C₂×C₄	1	2	yes	—
33	C₂×C₃³×C₄	D₄	1	1	yes	characteristic
34	C₂×C₃³×C₄	D₄	1	2	yes	—
35	C₂×C₃³×C₄	C₂³	1	1	yes	characteristic
36	C₂×C₃⋊(C₃⋊Dic₃)	—	2	2	no	—
37	C₂×C₃⋊(C₃⋊Dic₃)	—	4	2	no	—
38	C₃×C₄⋊(C₃⋊D₃)	—	2	4	no	—
39	C₃×C₄⋊(C₃⋊D₃)	—	2	2	no	—
40	C₃×C₄⋊(C₃⋊D₃)	C₂×C₄	1	4	yes	complemented
41	C₃²×C₃⋊C₈	—	2	2	no	—
42	C₂×#832	—	9	1	no	—
43	C₂×#821	—	9	4	no	—
44	C₂³×C₃⋊D₃	—	2	1	no	—
45	C₂³×C₃×D₃	—	6	4	no	—
46	C₂²×C₃²×C₄	—	2	4	no	—
47	C₂²×C₃²×C₄	C₂×D₃	1	4	yes	—
48	C₂²×C₃²×C₄	C₂×D₃	1	1	yes	characteristic
49	C₂²×C₃⋊Dic₃	—	6	8	no	—
50	C₂²×C₃⋊Dic₃	—	6	4	no	—
51	C₂²×C₃⋊Dic₃	—	6	1	no	—
52	C₂×C₄⋊(C₃⋊D₃)	—	2	1	no	—
53	C₂×C₄⋊(C₃⋊D₃)	—	2	2	no	—
54	C₂×C₄⋊(C₃⋊D₃)	Dic₃	1	4	yes	complemented
55	C₂×C₄⋊(C₃⋊D₃)	C₂×D₃	1	2	yes	—
56	C₂×C₃×D₁₂	—	3	16	no	—
57	C₂×C₃×D₁₂	—	3	8	no	—
58	C₂×C₃×D₁₂	—	6	4	no	—
59	C₂×C₃×D₁₂	—	6	8	no	—
60	C₂×C₃²×C₈	—	3	2	no	—
61	C₂×C₃²×C₈	—	6	2	no	—
62	C₄⋊(C₃⋊Dic₃)	—	3	2	no	—
63	C₄⋊(C₃⋊Dic₃)	—	3	8	no	—
64	C₄⋊(C₃⋊Dic₃)	—	6	8	no	—
65	C₄⋊(C₃⋊Dic₃)	—	6	8	no	—
66	C₄⋊(C₃⋊Dic₃)	—	6	4	no	—
67	C₄⋊(C₃⋊Dic₃)	—	6	1	no	—
68	C₂×C₃×C₃⋊C₈	—	2	8	no	—
69	C₂×C₃×C₃⋊C₈	C₂×D₃	1	8	yes	complemented
70	C₂²×C₃³	C₂²⋊C₄	1	2	yes	—
71	C₂²×C₃³	D₈	1	2	yes	—
72	C₂²×C₃³	SD₁₆	1	2	yes	—
73	C₂²×C₃³	C₂×D₄	1	1	yes	characteristic
74	C₂×C₃×C₃⋊D₃	—	2	4	no	—
75	C₂×C₃×C₃⋊D₃	—	4	8	no	—
76	C₂×C₃×C₃⋊D₃	—	4	2	no	—
77	C₂×C₃×C₃⋊D₃	—	4	2	no	—
78	C₃³×C₄	C₂²⋊C₄	1	2	yes	—
79	C₃³×C₄	C₂²×C₄	1	1	yes	characteristic
80	C₃³×C₄	C₂×D₄	1	1	yes	characteristic
81	C₃⋊(C₃⋊Dic₃)	—	4	2	no	—
82	C₂²×C₃×D₄	—	9	1	no	—
83	C₂²×D₁₂	—	3	4	no	—
84	C₂²×C₃×C₈	—	3	4	no	—
85	C₂×C₄⋊Dic₃	—	9	4	no	—
86	C₂×C₄⋊Dic₃	—	9	1	no	—
87	C₂×C₄⋊Dic₃	—	18	4	no	—
88	C₂²×C₃⋊C₈	C₃⋊D₃	1	1	yes	characteristic, complemented
89	#832	—	9	4	no	—
90	#821	—	9	16	no	—
91	C₂³×C₃²	—	2	4	no	—
92	C₂³×C₃²	D₁₂	1	4	yes	—
93	C₂³×C₃²	#67	1	1	yes	characteristic
94	C₂²×C₃⋊D₃	—	2	4	no	—
95	C₂²×C₃⋊D₃	—	2	2	no	—
96	C₂²×C₃⋊D₃	—	4	2	no	—
97	C₂²×C₃⋊D₃	—	4	2	no	—
98	C₂²×C₃×D₃	—	6	16	no	—
99	C₂²×C₃×D₃	—	6	8	no	—
100	C₂²×C₃×D₃	—	12	8	no	—
101	C₂²×C₃×D₃	—	12	8	no	—
102	C₂×C₃²×C₄	—	2	8	no	—
103	C₂×C₃²×C₄	—	2	8	no	—
104	C₂×C₃²×C₄	—	2	4	no	—
105	C₂×C₃²×C₄	—	2	4	no	—
106	C₂×C₃²×C₄	C₄×D₃	1	8	yes	—
107	C₂×C₃²×C₄	D₁₂	1	4	yes	—
108	C₂×C₃²×C₄	C₂×Dic₃	1	2	yes	—
109	C₂×C₃²×C₄	#67	1	8	yes	—
110	C₂×C₃²×C₄	#67	1	2	yes	—
111	C₂×C₃²×C₄	#67	1	1	yes	characteristic
112	C₂×C₃²×C₄	C₂²×D₃	1	4	yes	—
113	C₂×C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
114	C₂×C₃⋊Dic₃	—	6	16	no	—
115	C₂×C₃⋊Dic₃	—	6	8	no	—
116	C₂×C₃⋊Dic₃	—	6	2	no	—
117	C₂×C₃⋊Dic₃	—	12	16	no	—
118	C₂×C₃⋊Dic₃	—	12	8	no	—
119	C₂×C₃⋊Dic₃	—	12	2	no	—
120	C₄⋊(C₃⋊D₃)	—	2	4	no	—
121	C₄⋊(C₃⋊D₃)	—	2	2	no	—
122	C₄⋊(C₃⋊D₃)	C₂×Dic₃	1	4	yes	complemented
123	C₃×D₁₂	—	3	16	no	—
124	C₃×D₁₂	—	6	16	no	—
125	C₃×D₁₂	—	6	8	no	—
126	C₃²×C₈	—	6	2	no	—
127	C₃×C₃⋊C₈	—	2	8	no	—
128	C₂×#102	—	27	1	no	Sylow
129	C₂×C₃³	#102	1	4	yes	complemented
130	C₂×C₃³	C₂×C₂²⋊C₄	1	1	yes	characteristic
131	C₂×C₃³	C₂×D₈	1	1	yes	characteristic
132	C₂×C₃³	C₂×SD₁₆	1	1	yes	characteristic
133	C₃×C₃⋊D₃	—	4	4	no	—
134	C₂⁴×C₃	—	18	1	no	—
135	C₂³×D₃	—	6	4	no	—
136	C₂×C₃×D₄	—	9	4	no	—
137	C₂×C₃×D₄	—	9	2	no	—
138	C₂×C₃×D₄	—	18	1	no	—
139	C₂×C₃×D₄	—	18	2	no	—
140	C₂²×C₃×C₄	—	2	4	no	—
141	C₂²×C₃×C₄	D₃²	1	4	yes	—
142	C₂²×C₃×C₄	C₂×C₃⋊D₃	1	1	yes	characteristic
143	C₂²×Dic₃	—	18	8	no	—
144	C₂²×Dic₃	—	18	4	no	—
145	C₂²×Dic₃	—	18	1	no	—
146	C₂×D₁₂	—	3	16	no	—
147	C₂×D₁₂	—	3	8	no	—
148	C₂×D₁₂	—	6	8	no	—
149	C₂×D₁₂	—	6	4	no	—
150	C₂×C₃×C₈	—	3	8	no	—
151	C₂×C₃×C₈	—	6	8	no	—
152	C₄⋊Dic₃	—	9	8	no	—
153	C₄⋊Dic₃	—	9	2	no	—
154	C₄⋊Dic₃	—	18	8	no	—
155	C₄⋊Dic₃	—	18	8	no	—
156	C₄⋊Dic₃	—	18	4	no	—
157	C₄⋊Dic₃	—	18	1	no	—
158	C₂×C₃⋊C₈	—	2	2	no	—
159	C₂×C₃⋊C₈	C₂×C₃⋊D₃	1	2	yes	complemented
160	C₂²×C₃²	—	2	8	no	—
161	C₂²×C₃²	—	2	8	no	—
162	C₂²×C₃²	—	2	8	no	—
163	C₂²×C₃²	—	2	4	no	—
164	C₂²×C₃²	#204	1	8	yes	—
165	C₂²×C₃²	D₂₄	1	8	yes	—
166	C₂²×C₃²	(C₂×D₃)⋊C₄	1	8	yes	—
167	C₂²×C₃²	#213	1	2	yes	—
168	C₂²×C₃²	#214	1	2	yes	—
169	C₂²×C₃²	#217	1	2	yes	—
170	C₂²×C₃²	C₂×D₁₂	1	4	yes	—
171	C₂²×C₃²	C₂×#67	1	1	yes	characteristic
172	C₂×C₃⋊D₃	—	2	4	no	—
173	C₂×C₃⋊D₃	—	4	8	no	—
174	C₂×C₃⋊D₃	—	4	2	no	—
175	C₂×C₃⋊D₃	—	4	2	no	—
176	C₂×C₃×D₃	—	6	16	no	—
177	C₂×C₃×D₃	—	12	32	no	—
178	C₂×C₃×D₃	—	12	8	no	—
179	C₂×C₃×D₃	—	12	8	no	—
180	C₃²×C₄	—	2	8	no	—
181	C₃²×C₄	—	2	4	no	—
182	C₃²×C₄	—	2	4	no	—
183	C₃²×C₄	(C₂×D₃)⋊C₄	1	8	yes	—
184	C₃²×C₄	#217	1	2	yes	—
185	C₃²×C₄	C₂×C₄×D₃	1	4	yes	—
186	C₃²×C₄	C₂²×Dic₃	1	1	yes	characteristic
187	C₃²×C₄	C₂×#67	1	4	yes	—
188	C₃²×C₄	C₂×#67	1	1	yes	characteristic
189	C₃⋊Dic₃	—	12	16	no	—
190	C₃⋊Dic₃	—	12	8	no	—
191	C₃⋊Dic₃	—	12	2	no	—
192	C₂²×D₄	—	9	1	no	—
193	C₂²×C₈	—	3	1	no	—
194	C₂×C₄⋊C₄	—	27	1	no	—
195	#102	—	27	4	no	—
196	C₃³	C₂×#102	1	1	yes	characteristic, complemented, Sylow
197	C₂³×C₃	—	2	4	no	—
198	C₂³×C₃	—	18	4	no	—
199	C₂³×C₃	—	18	2	no	—
200	C₂³×C₃	—	36	2	no	—
201	C₂³×C₃	—	36	2	no	—
202	C₂³×C₃	#626	1	4	yes	—
203	C₂³×C₃	C₄⋊(C₃⋊D₃)	1	1	yes	characteristic
204	C₂²×D₃	—	6	16	no	—
205	C₂²×D₃	—	6	8	no	—
206	C₂²×D₃	—	12	8	no	—
207	C₂²×D₃	—	12	8	no	—
208	C₃×D₄	—	9	4	no	—
209	C₃×D₄	—	18	4	no	—
210	C₃×D₄	—	18	2	no	—
211	C₂×C₃×C₄	—	2	8	no	—
212	C₂×C₃×C₄	—	2	8	no	—
213	C₂×C₃×C₄	—	2	4	no	—
214	C₂×C₃×C₄	—	2	4	no	—
215	C₂×C₃×C₄	D₃×Dic₃	1	8	yes	—
216	C₂×C₃×C₄	#625	1	8	yes	—
217	C₂×C₃×C₄	#626	1	4	yes	—
218	C₂×C₃×C₄	C₄×C₃⋊D₃	1	2	yes	—
219	C₂×C₃×C₄	C₄⋊(C₃⋊D₃)	1	1	yes	characteristic
220	C₂×C₃×C₄	#638	1	2	yes	—
221	C₂×C₃×C₄	C₂×D₃²	1	4	yes	—
222	C₂×C₃×C₄	C₂²×C₃⋊D₃	1	1	yes	characteristic
223	C₂×Dic₃	—	18	16	no	—
224	C₂×Dic₃	—	18	8	no	—
225	C₂×Dic₃	—	18	2	no	—
226	C₂×Dic₃	—	36	16	no	—
227	C₂×Dic₃	—	36	8	no	—
228	C₂×Dic₃	—	36	2	no	—
229	D₁₂	—	3	16	no	—
230	D₁₂	—	6	16	no	—
231	D₁₂	—	6	8	no	—
232	C₃×C₈	—	6	8	no	—
233	C₃⋊C₈	—	2	2	no	—
234	C₂×C₃²	—	2	16	no	—
235	C₂×C₃²	—	2	4	no	—
236	C₂×C₃²	—	2	4	no	—
237	C₂×C₃²	—	2	4	no	—
238	C₂×C₃²	#821	1	16	yes	complemented
239	C₂×C₃²	#832	1	4	yes	complemented
240	C₂×C₃²	C₂×#204	1	4	yes	—
241	C₂×C₃²	C₂×D₂₄	1	4	yes	—
242	C₂×C₃²	C₂×(C₂×D₃)⋊C₄	1	4	yes	—
243	C₂×C₃²	C₂×#213	1	1	yes	characteristic
244	C₂×C₃²	C₂×#214	1	1	yes	characteristic
245	C₂×C₃²	C₂×#217	1	1	yes	characteristic
246	C₃⋊D₃	—	4	4	no	—
247	C₃×D₃	—	12	16	no	—
248	C₂⁴	—	18	1	no	—
249	C₂×D₄	—	9	4	no	—
250	C₂×D₄	—	9	2	no	—
251	C₂×D₄	—	18	2	no	—
252	C₂×D₄	—	18	1	no	—
253	C₂²×C₄	—	54	1	no	—
254	C₂²×C₄	D₃×C₃⋊D₃	1	1	yes	characteristic
255	C₂×C₈	—	3	2	no	—
256	C₂×C₈	—	6	2	no	—
257	C₄⋊C₄	—	27	2	no	—
258	C₄⋊C₄	—	54	1	no	—
259	C₂²×C₃	—	2	4	no	—
260	C₂²×C₃	—	2	8	no	—
261	C₂²×C₃	—	2	8	no	—
262	C₂²×C₃	—	2	8	no	—
263	C₂²×C₃	—	18	4	no	—
264	C₂²×C₃	—	36	2	no	—
265	C₂²×C₃	—	36	2	no	—
266	C₂²×C₃	—	36	8	no	—
267	C₂²×C₃	#3714	1	8	yes	—
268	C₂²×C₃	#3716	1	8	yes	—
269	C₂²×C₃	(C₂×D₃)⋊Dic₃	1	8	yes	—
270	C₂²×C₃	#3744	1	2	yes	—
271	C₂²×C₃	#3745	1	2	yes	—
272	C₂²×C₃	#3752	1	2	yes	—
273	C₂²×C₃	C₂×#626	1	4	yes	—
274	C₂²×C₃	C₂×C₄⋊(C₃⋊D₃)	1	1	yes	characteristic
275	C₂×D₃	—	6	16	no	—
276	C₂×D₃	—	12	32	no	—
277	C₂×D₃	—	12	8	no	—
278	C₂×D₃	—	12	8	no	—
279	C₃×C₄	—	2	4	no	—
280	C₃×C₄	—	2	4	no	—
281	C₃×C₄	—	2	8	no	—
282	C₃×C₄	(C₂×D₃)⋊Dic₃	1	8	yes	—
283	C₃×C₄	#3752	1	2	yes	—
284	C₃×C₄	C₂×D₃×Dic₃	1	4	yes	—
285	C₃×C₄	C₂×#625	1	4	yes	—
286	C₃×C₄	C₂×C₄×C₃⋊D₃	1	1	yes	characteristic
287	C₃×C₄	C₂×#638	1	1	yes	characteristic
288	Dic₃	—	36	16	no	—
289	Dic₃	—	36	8	no	—
290	Dic₃	—	36	2	no	—
291	C₃²	—	2	4	no	—
292	C₃²	C₂×#821	1	4	yes	complemented
293	C₃²	C₂×#832	1	1	yes	characteristic, complemented
294	C₂³	—	18	2	no	—
295	C₂³	—	18	4	no	—
296	C₂³	—	36	2	no	—
297	C₂³	—	36	2	no	—
298	C₂³	#6292	1	1	yes	characteristic
299	D₄	—	9	4	no	—
300	D₄	—	18	2	no	—
301	D₄	—	18	4	no	—
302	C₂×C₄	—	54	2	no	—
303	C₂×C₄	—	108	2	no	—
304	C₂×C₄	Dic₃×C₃⋊D₃	1	2	yes	—
305	C₂×C₄	#6290	1	2	yes	—
306	C₂×C₄	#6292	1	1	yes	characteristic
307	C₂×C₄	C₂×D₃×C₃⋊D₃	1	1	yes	characteristic
308	C₈	—	6	2	no	—
309	C₂×C₃	—	2	16	no	—
310	C₂×C₃	—	2	4	no	—
311	C₂×C₃	—	2	4	no	—
312	C₂×C₃	—	2	4	no	—
313	C₂×C₃	—	36	4	no	—
314	C₂×C₃	#63563	1	16	yes	complemented
315	C₂×C₃	#63648	1	4	yes	complemented
316	C₂×C₃	C₂×#3714	1	4	yes	—
317	C₂×C₃	C₂×#3716	1	4	yes	—
318	C₂×C₃	C₂×(C₂×D₃)⋊Dic₃	1	4	yes	—
319	C₂×C₃	C₂×#3744	1	1	yes	characteristic
320	C₂×C₃	C₂×#3745	1	1	yes	characteristic
321	C₂×C₃	C₂×#3752	1	1	yes	characteristic
322	D₃	—	12	16	no	—
323	C₂²	—	18	4	no	—
324	C₂²	—	36	8	no	—
325	C₂²	—	36	2	no	—
326	C₂²	—	36	2	no	—
327	C₂²	#88791	1	2	yes	—
328	C₂²	#88796	1	2	yes	—
329	C₂²	#88803	1	2	yes	—
330	C₂²	C₂×#6292	1	1	yes	characteristic
331	C₄	—	108	2	no	—
332	C₄	#88803	1	2	yes	—
333	C₄	C₂×Dic₃×C₃⋊D₃	1	1	yes	characteristic
334	C₄	C₂×#6290	1	1	yes	characteristic
335	C₃	—	2	4	no	—
336	C₃	C₂×#63563	1	4	yes	complemented
337	C₃	C₂×#63648	1	1	yes	characteristic, complemented
338	C₂	—	36	4	no	—
339	C₂	#11722034	1	4	yes	direct product factor
340	C₂	C₂×#88791	1	1	yes	characteristic
341	C₂	C₂×#88796	1	1	yes	characteristic
342	C₂	C₂×#88803	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#6292
commutator	C₃³×C₄	C₂²×C₄
Frattini	C₂×C₄	C₂×D₃×C₃⋊D₃
Fitting	C₂²×C₃³×C₄	C₂²
socle	C₂³×C₃³	D₄
prime radical	C₂²×C₃×C₄⋊(C₃⋊D₃)	C₂
cosocle	C₂×C₃³×C₄	C₂³
hypercenter	C₂²×C₄	D₃×C₃⋊D₃
hypocenter	C₃³	C₂×#102
LCS	G ▷ C₃³×C₄ ▷ C₂×C₃³ ▷ C₃³
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄

Complements

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

N	H ≅ G/N	type
2. C₂×C₄⋊(C₃⋊(C₃⋊Dic₃))	C₂	semidirect
3. C₂²×C₃²×C₃⋊C₈	C₂	semidirect
4. #11722034	C₂	direct (N × H)
12. C₂×C₃×C₄⋊(C₃⋊D₃)	C₄	semidirect
15. C₄⋊(C₃⋊(C₃⋊Dic₃))	C₂²	semidirect
17. C₂×C₃²×C₃⋊C₈	C₂²	semidirect
24. C₂²×C₃×C₃⋊C₈	D₃	semidirect
40. C₃×C₄⋊(C₃⋊D₃)	C₂×C₄	semidirect
54. C₂×C₄⋊(C₃⋊D₃)	Dic₃	semidirect
69. C₂×C₃×C₃⋊C₈	C₂×D₃	semidirect
88. C₂²×C₃⋊C₈	C₃⋊D₃	semidirect
122. C₄⋊(C₃⋊D₃)	C₂×Dic₃	semidirect
129. C₂×C₃³	#102	semidirect
159. C₂×C₃⋊C₈	C₂×C₃⋊D₃	semidirect
196. C₃³	C₂×#102	semidirect
238. C₂×C₃²	#821	semidirect
239. C₂×C₃²	#832	semidirect
292. C₃²	C₂×#821	semidirect
293. C₃²	C₂×#832	semidirect
314. C₂×C₃	#63563	semidirect
315. C₂×C₃	#63648	semidirect
336. C₃	C₂×#63563	semidirect
337. C₃	C₂×#63648	semidirect
339. C₂	#11722034	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₃×C₄⋊(C₃⋊D₃)	2
C₂×C₄⋊(C₃⋊(C₃⋊Dic₃))	2
C₂²×C₃²×C₃⋊C₈	2
#11722034	2
C₂×#63648	3
C₂×#63563	3

Subgroups — C2×#11722034 #13160318

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11722034 #13160318