Subgroups — C₂×C₃×#4694 #11873358

Order 1152.

1137 conjugacy classes of subgroups.

The subgroup lattice has 353 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#874	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×#869	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃²×C₄×C₈	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₃×#821	C₂	1	4	yes	maximal, complemented
5	C₃×#4694	C₂	1	8	yes	maximal, direct product factor
6	C₂×C₃×#486	—	3	1	no	maximal
7	C₂×#4694	C₃	1	1	yes	maximal, characteristic, direct product factor
8	C₂²×C₃×D₁₂	—	2	1	no	—
9	C₂²×C₃×D₁₂	—	2	1	no	—
10	C₂²×C₃×D₁₂	C₂²	1	2	yes	—
11	C₂²×C₃×Dic₆	—	2	1	no	—
12	C₂²×C₃²×C₈	C₂²	1	2	yes	—
13	C₂×C₃²×C₄²	C₂²	1	1	yes	characteristic
14	C₂×C₃×C₄⋊Dic₃	—	2	1	no	—
15	C₂×C₃×C₄⋊Dic₃	C₂²	1	2	yes	—
16	C₃×#874	—	2	2	no	—
17	C₃×#874	C₂²	1	4	yes	—
18	C₃×#869	—	2	2	no	—
19	C₃×#869	C₂²	1	4	yes	complemented
20	C₃²×C₄×C₈	C₂²	1	4	yes	complemented
21	C₃×#821	C₂²	1	16	yes	complemented
22	C₂×C₃×C₄⋊Q₈	—	3	1	no	—
23	C₂×C₃×#127	—	3	1	no	—
24	C₂×#874	C₂×C₃	1	1	yes	characteristic
25	C₂×#869	C₂×C₃	1	1	yes	characteristic, complemented
26	C₃×#486	—	3	8	no	—
27	C₂×C₃×#102	—	3	4	no	—
28	C₂×C₃×C₄×C₈	—	2	1	no	—
29	C₂×C₃×C₄×C₈	D₃	1	1	yes	characteristic, complemented
30	C₂×C₃×C₄×C₈	C₂×C₃	1	1	yes	characteristic, complemented
31	C₂×#821	C₂×C₃	1	4	yes	complemented
32	#4694	C₂×C₃	1	8	yes	direct product factor
33	C₂³×C₃×D₃	—	2	2	no	—
34	C₂²×C₃²×C₄	D₄	1	1	yes	characteristic
35	C₂²×C₃²×C₄	D₄	1	1	yes	characteristic
36	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
37	C₂²×C₃×Dic₃	—	2	2	no	—
38	C₂×C₃×D₁₂	—	2	8	no	—
39	C₂×C₃×D₁₂	—	2	4	no	—
40	C₂×C₃×D₁₂	—	2	4	no	—
41	C₂×C₃×D₁₂	—	2	2	no	—
42	C₂×C₃×D₁₂	—	4	4	no	—
43	C₂×C₃×D₁₂	—	4	4	no	—
44	C₂×C₃×D₁₂	C₂³	1	4	yes	—
45	C₂×C₃×Dic₆	—	2	4	no	—
46	C₂×C₃×Dic₆	—	4	4	no	—
47	C₂×C₃²×C₈	—	2	4	no	—
48	C₂×C₃²×C₈	C₂³	1	4	yes	—
49	C₃²×C₄²	D₄	1	2	yes	—
50	C₃²×C₄²	C₂³	1	2	yes	—
51	C₃×C₄⋊Dic₃	—	2	4	no	—
52	C₃×C₄⋊Dic₃	—	2	2	no	—
53	C₃×C₄⋊Dic₃	C₂³	1	4	yes	—
54	C₂×#486	—	3	1	no	Sylow
55	C₂²×C₃×Q₈	—	6	1	no	—
56	C₂²×C₃×D₄	—	3	2	no	—
57	C₂²×C₃×D₄	—	6	1	no	—
58	C₂²×C₃×D₄	—	6	1	no	—
59	C₂²×D₁₂	—	2	1	no	—
60	C₂²×D₁₂	—	2	1	no	—
61	C₂²×D₁₂	C₂²×C₃	1	2	yes	—
62	C₂²×Dic₆	—	2	1	no	—
63	C₂²×C₃×C₈	—	2	2	no	—
64	C₂²×C₃×C₈	C₂×D₃	1	2	yes	—
65	C₂²×C₃×C₈	C₂²×C₃	1	2	yes	—
66	C₃×C₄⋊Q₈	—	3	4	no	—
67	C₃×C₄⋊Q₈	—	6	2	no	—
68	C₃×#127	—	3	4	no	—
69	C₃×#127	—	6	2	no	—
70	C₂×C₃×C₄⋊C₄	—	3	2	no	—
71	C₂×C₃×C₄⋊C₄	—	6	1	no	—
72	C₂×C₃×C₄²	—	2	1	no	—
73	C₂×C₃×C₄²	C₂×D₃	1	1	yes	characteristic
74	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic
75	C₂×C₄⋊Dic₃	—	2	1	no	—
76	C₂×C₄⋊Dic₃	C₂²×C₃	1	2	yes	—
77	#874	—	2	2	no	—
78	#874	C₂²×C₃	1	4	yes	—
79	#869	—	2	2	no	—
80	#869	C₂²×C₃	1	4	yes	complemented
81	C₃×#102	—	3	16	no	—
82	C₃×C₄×C₈	—	2	4	no	—
83	C₃×C₄×C₈	C₂×D₃	1	4	yes	complemented
84	C₃×C₄×C₈	C₂²×C₃	1	4	yes	complemented
85	#821	C₂²×C₃	1	16	yes	complemented
86	C₂³×C₃²	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₃×D₃	—	2	4	no	—
88	C₂²×C₃×D₃	—	4	4	no	—
89	C₂²×C₃×D₃	—	4	4	no	—
90	C₂²×C₃×D₃	—	4	4	no	—
91	C₂×C₃²×C₄	D₈	1	4	yes	—
92	C₂×C₃²×C₄	SD₁₆	1	4	yes	—
93	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
94	C₂×C₃²×C₄	C₂×D₄	1	2	yes	—
95	C₂×C₃²×C₄	C₂×D₄	1	2	yes	—
96	C₂×C₃²×C₄	#41	1	4	yes	—
97	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
98	C₂×C₃×Dic₃	—	2	4	no	—
99	C₂×C₃×Dic₃	—	4	4	no	—
100	C₃×D₁₂	—	2	8	no	—
101	C₃×D₁₂	—	4	4	no	—
102	C₃×D₁₂	—	4	8	no	—
103	C₃×D₁₂	—	4	8	no	—
104	C₃×Dic₆	—	4	8	no	—
105	C₃²×C₈	—	2	4	no	—
106	C₂×C₄⋊Q₈	—	3	1	no	—
107	C₂×#127	—	3	1	no	—
108	#486	—	3	8	no	—
109	C₂×#102	—	3	4	no	—
110	C₂×C₄×C₈	C₃×D₃	1	1	yes	characteristic, complemented
111	C₂⁴×C₃	—	6	2	no	—
112	C₂³×D₃	—	2	2	no	—
113	C₂×C₃×Q₈	—	6	4	no	—
114	C₂×C₃×Q₈	—	12	4	no	—
115	C₂×C₃×D₄	—	3	4	no	—
116	C₂×C₃×D₄	—	6	4	no	—
117	C₂×C₃×D₄	—	6	4	no	—
118	C₂×C₃×D₄	—	6	2	no	—
119	C₂×C₃×D₄	—	6	8	no	—
120	C₂×C₃×D₄	—	12	4	no	—
121	C₂×C₃×D₄	—	12	4	no	—
122	C₂²×C₃×C₄	—	2	1	no	—
123	C₂²×C₃×C₄	—	2	1	no	—
124	C₂²×C₃×C₄	—	2	1	no	—
125	C₂²×C₃×C₄	—	6	2	no	—
126	C₂²×C₃×C₄	D₁₂	1	1	yes	characteristic
127	C₂²×C₃×C₄	D₁₂	1	1	yes	characteristic
128	C₂²×C₃×C₄	C₃×D₄	1	1	yes	characteristic
129	C₂²×C₃×C₄	C₃×D₄	1	1	yes	characteristic
130	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
131	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
132	C₂²×Dic₃	—	2	2	no	—
133	C₂×D₁₂	—	2	8	no	—
134	C₂×D₁₂	—	2	2	no	—
135	C₂×D₁₂	—	2	4	no	—
136	C₂×D₁₂	—	2	4	no	—
137	C₂×D₁₂	—	4	4	no	—
138	C₂×D₁₂	—	4	4	no	—
139	C₂×D₁₂	C₂³×C₃	1	4	yes	—
140	C₂×Dic₆	—	2	4	no	—
141	C₂×Dic₆	—	4	4	no	—
142	C₂×C₃×C₈	—	2	8	no	—
143	C₂×C₃×C₈	—	2	4	no	—
144	C₂×C₃×C₈	—	2	4	no	—
145	C₂×C₃×C₈	—	2	4	no	—
146	C₂×C₃×C₈	C₂²×D₃	1	4	yes	—
147	C₂×C₃×C₈	C₂³×C₃	1	4	yes	—
148	C₃×C₄⋊C₄	—	3	4	no	—
149	C₃×C₄⋊C₄	—	6	2	no	—
150	C₃×C₄⋊C₄	—	6	4	no	—
151	C₃×C₄²	—	2	2	no	—
152	C₃×C₄²	—	2	2	no	—
153	C₃×C₄²	D₁₂	1	2	yes	—
154	C₃×C₄²	C₃×D₄	1	2	yes	—
155	C₃×C₄²	C₂²×D₃	1	2	yes	—
156	C₃×C₄²	C₂³×C₃	1	2	yes	—
157	C₄⋊Dic₃	—	2	2	no	—
158	C₄⋊Dic₃	—	2	4	no	—
159	C₄⋊Dic₃	C₂³×C₃	1	4	yes	—
160	C₂²×C₃²	#124	1	2	yes	—
161	C₂²×C₃²	C₂×D₈	1	2	yes	—
162	C₂²×C₃²	C₂×SD₁₆	1	2	yes	—
163	C₂²×C₃²	C₂²×D₄	1	1	yes	characteristic
164	C₂×C₃×D₃	—	4	4	no	—
165	C₂×C₃×D₃	—	4	4	no	—
166	C₂×C₃×D₃	—	4	4	no	—
167	C₂×C₃×D₃	—	8	8	no	—
168	C₃²×C₄	#124	1	2	yes	—
169	C₃²×C₄	C₂×D₈	1	4	yes	—
170	C₃²×C₄	C₂×SD₁₆	1	4	yes	—
171	C₃²×C₄	C₂×#41	1	2	yes	—
172	C₃×Dic₃	—	4	4	no	—
173	C₂²×Q₈	—	6	1	no	—
174	C₂²×D₄	—	3	2	no	—
175	C₂²×D₄	—	6	1	no	—
176	C₂²×D₄	—	6	1	no	—
177	C₂²×C₈	C₂×C₃×D₃	1	2	yes	—
178	C₄⋊Q₈	—	3	4	no	—
179	C₄⋊Q₈	—	6	2	no	—
180	#127	—	3	4	no	—
181	#127	—	6	2	no	—
182	C₂×C₄⋊C₄	—	3	2	no	—
183	C₂×C₄⋊C₄	—	6	1	no	—
184	C₂×C₄²	C₂×C₃×D₃	1	1	yes	characteristic
185	#102	—	3	16	no	—
186	C₄×C₈	C₂×C₃×D₃	1	4	yes	complemented
187	C₂³×C₃	—	2	1	no	—
188	C₂³×C₃	—	6	4	no	—
189	C₂³×C₃	—	12	4	no	—
190	C₂³×C₃	—	12	4	no	—
191	C₂³×C₃	—	12	4	no	—
192	C₂³×C₃	C₂×D₁₂	1	1	yes	characteristic
193	C₂³×C₃	C₂×C₃×D₄	1	1	yes	characteristic
194	C₂²×D₃	—	2	4	no	—
195	C₂²×D₃	—	4	4	no	—
196	C₂²×D₃	—	4	4	no	—
197	C₂²×D₃	—	4	4	no	—
198	C₃×Q₈	—	12	8	no	—
199	C₃×D₄	—	6	8	no	—
200	C₃×D₄	—	12	4	no	—
201	C₃×D₄	—	12	8	no	—
202	C₃×D₄	—	12	8	no	—
203	C₂×C₃×C₄	—	2	1	no	—
204	C₂×C₃×C₄	—	2	4	no	—
205	C₂×C₃×C₄	—	2	4	no	—
206	C₂×C₃×C₄	—	2	2	no	—
207	C₂×C₃×C₄	—	2	2	no	—
208	C₂×C₃×C₄	—	2	1	no	—
209	C₂×C₃×C₄	—	2	4	no	—
210	C₂×C₃×C₄	—	6	4	no	—
211	C₂×C₃×C₄	—	12	4	no	—
212	C₂×C₃×C₄	#204	1	4	yes	—
213	C₂×C₃×C₄	D₂₄	1	4	yes	—
214	C₂×C₃×C₄	C₃×D₈	1	4	yes	—
215	C₂×C₃×C₄	C₃×SD₁₆	1	4	yes	—
216	C₂×C₃×C₄	C₂×D₁₂	1	1	yes	characteristic
217	C₂×C₃×C₄	C₂×D₁₂	1	2	yes	—
218	C₂×C₃×C₄	C₂×D₁₂	1	2	yes	—
219	C₂×C₃×C₄	#235	1	4	yes	—
220	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
221	C₂×C₃×C₄	C₂×C₃×D₄	1	2	yes	—
222	C₂×C₃×C₄	C₂×C₃×D₄	1	2	yes	—
223	C₂×C₃×C₄	C₃×#41	1	4	yes	—
224	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
225	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
226	C₂×Dic₃	—	2	4	no	—
227	C₂×Dic₃	—	4	4	no	—
228	D₁₂	—	2	8	no	—
229	D₁₂	—	4	4	no	—
230	D₁₂	—	4	8	no	—
231	D₁₂	—	4	8	no	—
232	Dic₆	—	4	8	no	—
233	C₃×C₈	—	2	8	no	—
234	C₃×C₈	—	2	4	no	—
235	C₃×C₈	—	2	4	no	—
236	C₂×C₃²	#486	1	4	yes	complemented
237	C₂×C₃²	C₂×#124	1	1	yes	characteristic
238	C₂×C₃²	C₂²×D₈	1	1	yes	characteristic
239	C₂×C₃²	C₂²×SD₁₆	1	1	yes	characteristic
240	C₃×D₃	—	8	4	no	—
241	C₂⁴	—	6	2	no	—
242	C₂×Q₈	—	6	4	no	—
243	C₂×Q₈	—	12	4	no	—
244	C₂×D₄	—	3	4	no	—
245	C₂×D₄	—	6	4	no	—
246	C₂×D₄	—	6	4	no	—
247	C₂×D₄	—	6	2	no	—
248	C₂×D₄	—	6	8	no	—
249	C₂×D₄	—	12	4	no	—
250	C₂×D₄	—	12	4	no	—
251	C₂²×C₄	—	6	2	no	—
252	C₂²×C₄	C₃×D₁₂	1	1	yes	characteristic
253	C₂²×C₄	C₃×D₁₂	1	1	yes	characteristic
254	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
255	C₂×C₈	—	2	4	no	—
256	C₂×C₈	C₂²×C₃×D₃	1	4	yes	—
257	C₄⋊C₄	—	3	4	no	—
258	C₄⋊C₄	—	6	2	no	—
259	C₄⋊C₄	—	6	4	no	—
260	C₄²	C₃×D₁₂	1	2	yes	—
261	C₄²	C₂²×C₃×D₃	1	2	yes	—
262	C₂²×C₃	—	2	2	no	—
263	C₂²×C₃	—	2	2	no	—
264	C₂²×C₃	—	2	1	no	—
265	C₂²×C₃	—	2	2	no	—
266	C₂²×C₃	—	12	4	no	—
267	C₂²×C₃	—	12	4	no	—
268	C₂²×C₃	—	12	4	no	—
269	C₂²×C₃	—	24	8	no	—
270	C₂²×C₃	#875	1	2	yes	—
271	C₂²×C₃	C₂×#204	1	2	yes	—
272	C₂²×C₃	C₂×D₂₄	1	2	yes	—
273	C₂²×C₃	C₃×#124	1	2	yes	—
274	C₂²×C₃	C₂×C₃×D₈	1	2	yes	—
275	C₂²×C₃	C₂×C₃×SD₁₆	1	2	yes	—
276	C₂²×C₃	C₂²×D₁₂	1	1	yes	characteristic
277	C₂²×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
278	C₂×D₃	—	4	4	no	—
279	C₂×D₃	—	4	4	no	—
280	C₂×D₃	—	4	4	no	—
281	C₂×D₃	—	8	8	no	—
282	C₃×C₄	—	2	4	no	—
283	C₃×C₄	—	2	4	no	—
284	C₃×C₄	—	2	2	no	—
285	C₃×C₄	—	2	2	no	—
286	C₃×C₄	—	12	4	no	—
287	C₃×C₄	#875	1	2	yes	—
288	C₃×C₄	C₂×#204	1	4	yes	—
289	C₃×C₄	C₂×D₂₄	1	4	yes	—
290	C₃×C₄	C₃×#124	1	2	yes	—
291	C₃×C₄	C₂×C₃×D₈	1	4	yes	—
292	C₃×C₄	C₂×C₃×SD₁₆	1	4	yes	—
293	C₃×C₄	C₂×#235	1	2	yes	—
294	C₃×C₄	C₂×C₃×#41	1	2	yes	—
295	Dic₃	—	4	4	no	—
296	C₃²	C₂×#486	1	1	yes	characteristic, complemented, Sylow
297	C₂³	—	6	4	no	—
298	C₂³	—	12	4	no	—
299	C₂³	—	12	4	no	—
300	C₂³	—	12	4	no	—
301	C₂³	C₂×C₃×D₁₂	1	1	yes	characteristic
302	Q₈	—	12	8	no	—
303	D₄	—	6	8	no	—
304	D₄	—	12	8	no	—
305	D₄	—	12	8	no	—
306	D₄	—	12	4	no	—
307	C₂×C₄	—	6	4	no	—
308	C₂×C₄	—	12	4	no	—
309	C₂×C₄	C₃×#204	1	4	yes	—
310	C₂×C₄	C₃×D₂₄	1	4	yes	—
311	C₂×C₄	C₂×C₃×D₁₂	1	2	yes	—
312	C₂×C₄	C₂×C₃×D₁₂	1	2	yes	—
313	C₂×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
314	C₂×C₄	C₃×#235	1	4	yes	—
315	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
316	C₈	—	2	4	no	—
317	C₂×C₃	—	2	4	no	—
318	C₂×C₃	—	2	1	no	—
319	C₂×C₃	—	2	1	no	—
320	C₂×C₃	—	2	1	no	—
321	C₂×C₃	—	24	4	no	—
322	C₂×C₃	#4694	1	4	yes	direct product factor
323	C₂×C₃	C₃×#486	1	4	yes	complemented
324	C₂×C₃	C₂×#875	1	1	yes	characteristic
325	C₂×C₃	C₂²×#204	1	1	yes	characteristic
326	C₂×C₃	C₂²×D₂₄	1	1	yes	characteristic
327	C₂×C₃	C₂×C₃×#124	1	1	yes	characteristic
328	C₂×C₃	C₂²×C₃×D₈	1	1	yes	characteristic
329	C₂×C₃	C₂²×C₃×SD₁₆	1	1	yes	characteristic
330	D₃	—	8	4	no	—
331	C₂²	—	12	4	no	—
332	C₂²	—	12	4	no	—
333	C₂²	—	12	4	no	—
334	C₂²	—	24	8	no	—
335	C₂²	C₃×#875	1	2	yes	—
336	C₂²	C₂×C₃×#204	1	2	yes	—
337	C₂²	C₂×C₃×D₂₄	1	2	yes	—
338	C₂²	C₂²×C₃×D₁₂	1	1	yes	characteristic
339	C₄	—	12	4	no	—
340	C₄	C₃×#875	1	2	yes	—
341	C₄	C₂×C₃×#204	1	4	yes	—
342	C₄	C₂×C₃×D₂₄	1	4	yes	—
343	C₄	C₂×C₃×#235	1	2	yes	—
344	C₃	—	2	1	no	—
345	C₃	C₂×#4694	1	1	yes	characteristic, direct product factor
346	C₃	C₂×C₃×#486	1	1	yes	characteristic, complemented
347	C₂	—	24	4	no	—
348	C₂	C₃×#4694	1	4	yes	direct product factor
349	C₂	C₂×C₃×#875	1	1	yes	characteristic
350	C₂	C₂²×C₃×#204	1	1	yes	characteristic
351	C₂	C₂²×C₃×D₂₄	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₃	C₂×D₁₂
commutator, cosocle	C₂×C₃×C₄	C₂⁴×C₃
Frattini	C₂×C₄	C₂³×C₃×D₃
Fitting	C₂×C₃²×C₄×C₈	C₂
socle	C₂³×C₃²	C₂×D₄
prime radical	C₂×C₃×#874	C₂
hypercenter	C₂×C₃×C₄×C₈	D₃
hypocenter	C₃	C₂×C₃×#486
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₃ ◁ C₂×C₃×C₄² ◁ C₂×C₃×C₄×C₈

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×#869	C₂	semidirect
3. C₂×C₃²×C₄×C₈	C₂	semidirect
4. C₂×C₃×#821	C₂	semidirect
5. C₃×#4694	C₂	direct (N × H)
7. C₂×#4694	C₃	direct (N × H)
19. C₃×#869	C₂²	semidirect
20. C₃²×C₄×C₈	C₂²	semidirect
21. C₃×#821	C₂²	semidirect
25. C₂×#869	C₂×C₃	semidirect
29. C₂×C₃×C₄×C₈	D₃	semidirect
30. C₂×C₃×C₄×C₈	C₂×C₃	semidirect
31. C₂×#821	C₂×C₃	semidirect
32. #4694	C₂×C₃	direct (N × H)
80. #869	C₂²×C₃	semidirect
83. C₃×C₄×C₈	C₂×D₃	semidirect
84. C₃×C₄×C₈	C₂²×C₃	semidirect
85. #821	C₂²×C₃	semidirect
110. C₂×C₄×C₈	C₃×D₃	semidirect
186. C₄×C₈	C₂×C₃×D₃	semidirect
236. C₂×C₃²	#486	semidirect
296. C₃²	C₂×#486	semidirect
322. C₂×C₃	#4694	direct (N × H)
323. C₂×C₃	C₃×#486	semidirect
345. C₃	C₂×#4694	direct (N × H)
346. C₃	C₂×C₃×#486	semidirect
348. C₂	C₃×#4694	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×#874	2
C₂×C₃×#869	2
C₂×C₃²×C₄×C₈	2
C₂×C₃×#821	2
C₃×#4694	2
C₂×C₃×#486	3
C₂×#4694	3

Subgroups — C2×C3×#4694 #11873358

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃×#4694 #11873358