Subgroups — C₃×#79167 #11860672

Order 1152.

1113 conjugacy classes of subgroups.

The subgroup lattice has 343 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₃×D₂₄	C₂	1	1	yes	maximal, characteristic
2	C₃×#5521	C₂	1	2	yes	maximal, complemented
3	C₃²×#427	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5101	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5001	C₂	1	2	yes	maximal, complemented
6	C₃×#4872	C₂	1	4	yes	maximal, complemented
7	C₃×#4869	C₂	1	4	yes	maximal, complemented
8	C₃×#2948	—	3	1	no	maximal
9	#79167	C₃	1	1	yes	maximal, characteristic, direct product factor
10	C₂²×C₃×D₁₂	C₂²	1	2	yes	—
11	C₂²×C₃²×C₈	C₂²	1	1	yes	characteristic
12	C₃²×#117	C₂²	1	2	yes	—
13	C₃×#926	C₂²	1	1	yes	characteristic
14	C₂×C₃×#208	C₂²	1	1	yes	characteristic
15	C₂×C₃×D₂₄	C₄	1	8	yes	complemented
16	C₂×C₃×D₂₄	C₂²	1	2	yes	—
17	C₂×C₃×D₂₄	C₂²	1	2	yes	—
18	C₃×#893	C₂²	1	8	yes	complemented
19	C₃×D₃×C₂²⋊C₄	—	2	4	no	—
20	C₃×C₄×D₁₂	—	2	4	no	—
21	C₃²×#107	C₂²	1	2	yes	complemented
22	C₃²×#106	C₂²	1	2	yes	complemented
23	C₃×#815	C₂²	1	2	yes	complemented
24	C₃×C₈×Dic₃	C₂²	1	2	yes	complemented
25	C₃×#809	C₂²	1	8	yes	complemented
26	C₂²×C₃×D₈	—	3	1	no	—
27	C₃×#518	—	3	2	no	—
28	C₂²×D₂₄	C₂×C₃	1	1	yes	characteristic
29	#5521	C₂×C₃	1	2	yes	complemented
30	C₃×#442	—	3	4	no	—
31	C₃×C₄×D₈	—	3	4	no	—
32	C₃×#427	—	2	1	no	—
33	C₃×#427	D₃	1	1	yes	characteristic, complemented
34	C₃×#427	C₂×C₃	1	1	yes	characteristic, complemented
35	C₃×#418	—	3	2	no	—
36	C₃×#405	—	3	1	no	—
37	#5101	C₂×C₃	1	1	yes	characteristic, complemented
38	#5001	C₂×C₃	1	2	yes	complemented
39	#4872	C₂×C₃	1	4	yes	complemented
40	#4869	C₂×C₃	1	4	yes	complemented
41	C₂³×C₃×D₃	—	2	2	no	—
42	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
43	C₂×C₃×D₁₂	—	2	2	no	—
44	C₂×C₃×D₁₂	—	2	4	no	—
45	C₂×C₃×D₁₂	C₂×C₄	1	8	yes	complemented
46	C₂×C₃×D₁₂	C₂³	1	4	yes	—
47	C₂×C₃×C₄×D₃	—	2	8	no	—
48	C₂×C₃²×C₈	C₂×C₄	1	4	yes	complemented
49	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
50	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
51	C₃²×C₄⋊C₄	C₂³	1	4	yes	—
52	C₃²×C₂²⋊C₄	—	2	2	no	—
53	C₃²×C₄²	—	2	2	no	—
54	C₃×#217	D₄	1	2	yes	—
55	C₃×(C₂×D₃)⋊C₄	—	2	8	no	—
56	C₃×C₄⋊Dic₃	D₄	1	2	yes	—
57	C₃×C₄×Dic₃	C₂³	1	2	yes	—
58	C₃×#208	—	2	2	no	—
59	C₂×C₃×C₃⋊C₈	C₂³	1	2	yes	—
60	C₃×D₂₄	C₂×C₄	1	8	yes	complemented
61	C₃×D₂₄	C₂×C₄	1	8	yes	complemented
62	#2948	—	3	1	no	Sylow
63	C₂²×C₃×D₄	—	3	2	no	—
64	C₂²×D₁₂	C₂²×C₃	1	2	yes	—
65	C₂×C₃×D₈	—	3	8	no	—
66	C₂×C₃×D₈	—	3	2	no	—
67	C₂×C₃×D₈	—	3	2	no	—
68	C₂×C₃×M₁₆	—	3	1	no	—
69	C₂²×C₃×C₈	—	2	1	no	—
70	C₂²×C₃×C₈	C₂×D₃	1	1	yes	characteristic
71	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
72	C₃×C₄×D₄	—	3	8	no	—
73	C₃×C₄×D₄	—	6	4	no	—
74	C₃×#117	—	2	2	no	—
75	C₃×#117	—	3	1	no	—
76	C₃×#117	C₂×D₃	1	2	yes	—
77	C₃×#117	C₂²×C₃	1	2	yes	—
78	C₂×C₃×C₂²⋊C₄	—	6	4	no	—
79	#926	C₂²×C₃	1	1	yes	characteristic
80	C₂×#208	C₂²×C₃	1	1	yes	characteristic
81	C₂×D₂₄	C₃×C₄	1	8	yes	complemented
82	C₂×D₂₄	C₂²×C₃	1	2	yes	—
83	C₂×D₂₄	C₂²×C₃	1	2	yes	—
84	#893	C₂²×C₃	1	8	yes	complemented
85	D₃×C₂²⋊C₄	—	2	4	no	—
86	C₄×D₁₂	—	2	4	no	—
87	C₃×#107	—	2	2	no	—
88	C₃×#107	C₂×D₃	1	2	yes	complemented
89	C₃×#107	C₂²×C₃	1	2	yes	complemented
90	C₃×#106	—	2	2	no	—
91	C₃×#106	C₂×D₃	1	2	yes	complemented
92	C₃×#106	C₂²×C₃	1	2	yes	complemented
93	C₃×#102	—	3	8	no	—
94	C₃×#97	—	3	2	no	—
95	C₃×C₄×C₈	—	3	2	no	—
96	#815	C₂²×C₃	1	2	yes	complemented
97	C₈×Dic₃	C₂²×C₃	1	2	yes	complemented
98	#809	C₂²×C₃	1	8	yes	complemented
99	C₂³×C₃²	C₂×D₄	1	1	yes	characteristic
100	C₂²×C₃×D₃	—	2	4	no	—
101	C₂²×C₃×D₃	—	2	8	no	—
102	C₂²×C₃×D₃	—	8	4	no	—
103	C₂×C₃²×C₄	—	2	4	no	—
104	C₂×C₃²×C₄	C₂²×C₄	1	2	yes	—
105	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
106	C₂×C₃²×C₄	#41	1	2	yes	—
107	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
108	C₂×C₃×Dic₃	C₂×D₄	1	4	yes	—
109	C₃×D₁₂	—	2	8	no	—
110	C₃×D₁₂	—	2	4	no	—
111	C₃×D₁₂	C₂²×C₄	1	8	yes	—
112	C₃×C₄×D₃	—	8	8	no	—
113	C₃²×C₈	C₂²×C₄	1	2	yes	—
114	C₃²×C₈	C₂²×C₄	1	2	yes	—
115	C₃×C₃⋊C₈	—	2	2	no	—
116	C₂²×D₈	—	3	1	no	—
117	#518	—	3	2	no	—
118	#442	—	3	4	no	—
119	C₄×D₈	—	3	4	no	—
120	#427	C₃×D₃	1	1	yes	characteristic, complemented
121	#418	—	3	2	no	—
122	#405	—	3	1	no	—
123	C₂⁴×C₃	—	6	2	no	—
124	C₂³×D₃	—	2	2	no	—
125	C₂×C₃×D₄	—	3	8	no	—
126	C₂×C₃×D₄	—	3	4	no	—
127	C₂×C₃×D₄	—	6	2	no	—
128	C₂×C₃×D₄	—	6	4	no	—
129	C₂²×C₃×C₄	—	2	1	no	—
130	C₂²×C₃×C₄	—	6	8	no	—
131	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
132	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
133	C₂×D₁₂	—	2	2	no	—
134	C₂×D₁₂	—	2	4	no	—
135	C₂×D₁₂	C₂×C₃×C₄	1	8	yes	complemented
136	C₂×D₁₂	C₂³×C₃	1	4	yes	—
137	C₂×C₄×D₃	—	2	8	no	—
138	C₃×D₈	—	3	8	no	—
139	C₃×D₈	—	3	8	no	—
140	C₃×M₁₆	—	6	2	no	—
141	C₂×C₃×C₈	—	2	4	no	—
142	C₂×C₃×C₈	—	2	1	no	—
143	C₂×C₃×C₈	—	2	1	no	—
144	C₂×C₃×C₈	—	3	2	no	—
145	C₂×C₃×C₈	C₄×D₃	1	4	yes	complemented
146	C₂×C₃×C₈	C₂×C₃×C₄	1	4	yes	complemented
147	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
148	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
149	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
150	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
151	C₃×C₄⋊C₄	—	2	4	no	—
152	C₃×C₄⋊C₄	—	3	2	no	—
153	C₃×C₄⋊C₄	C₂²×D₃	1	4	yes	—
154	C₃×C₄⋊C₄	C₂³×C₃	1	4	yes	—
155	C₃×C₂²⋊C₄	—	2	2	no	—
156	C₃×C₂²⋊C₄	—	2	2	no	—
157	C₃×C₂²⋊C₄	—	3	2	no	—
158	C₃×C₂²⋊C₄	—	4	2	no	—
159	C₃×C₂²⋊C₄	—	6	8	no	—
160	C₃×C₄²	—	2	2	no	—
161	C₃×C₄²	—	2	2	no	—
162	C₃×C₄²	—	3	2	no	—
163	C₃×C₄²	—	4	2	no	—
164	#217	C₃×D₄	1	2	yes	—
165	(C₂×D₃)⋊C₄	—	2	8	no	—
166	C₄⋊Dic₃	C₃×D₄	1	2	yes	—
167	C₄×Dic₃	C₂³×C₃	1	2	yes	—
168	#208	—	2	2	no	—
169	C₂×C₃⋊C₈	C₂³×C₃	1	2	yes	—
170	D₂₄	C₂×C₃×C₄	1	8	yes	complemented
171	D₂₄	C₂×C₃×C₄	1	8	yes	complemented
172	C₂²×C₃²	—	2	2	no	—
173	C₂²×C₃²	C₄×D₄	1	2	yes	—
174	C₂²×C₃²	C₂²×D₄	1	1	yes	characteristic
175	C₂×C₃×D₃	—	2	8	no	—
176	C₂×C₃×D₃	—	4	8	no	—
177	C₂×C₃×D₃	—	8	8	no	—
178	C₃²×C₄	—	4	4	no	—
179	C₃²×C₄	C₄×D₄	1	2	yes	—
180	C₃²×C₄	C₂³×C₄	1	1	yes	characteristic
181	C₃²×C₄	C₂×#41	1	1	yes	characteristic
182	C₃×Dic₃	—	2	4	no	—
183	C₂²×D₄	—	3	2	no	—
184	C₂×D₈	—	3	8	no	—
185	C₂×D₈	—	3	2	no	—
186	C₂×D₈	—	3	2	no	—
187	C₂×M₁₆	—	3	1	no	—
188	C₂²×C₈	C₂×C₃×D₃	1	1	yes	characteristic
189	C₄×D₄	—	3	8	no	—
190	C₄×D₄	—	6	4	no	—
191	#117	—	3	1	no	—
192	#117	C₂×C₃×D₃	1	2	yes	—
193	C₂×C₂²⋊C₄	—	6	4	no	—
194	#107	C₂×C₃×D₃	1	2	yes	complemented
195	#106	C₂×C₃×D₃	1	2	yes	complemented
196	#102	—	3	8	no	—
197	#97	—	3	2	no	—
198	C₄×C₈	—	3	2	no	—
199	C₂³×C₃	—	2	1	no	—
200	C₂³×C₃	—	6	4	no	—
201	C₂³×C₃	—	6	8	no	—
202	C₂³×C₃	—	24	4	no	—
203	C₂³×C₃	D₃×D₄	1	1	yes	characteristic
204	C₂³×C₃	C₂×C₃×D₄	1	1	yes	characteristic
205	C₂²×D₃	—	2	4	no	—
206	C₂²×D₃	—	2	8	no	—
207	C₂²×D₃	—	8	4	no	—
208	C₃×D₄	—	3	8	no	—
209	C₃×D₄	—	6	8	no	—
210	C₃×D₄	—	6	4	no	—
211	C₂×C₃×C₄	—	2	4	no	—
212	C₂×C₃×C₄	—	2	4	no	—
213	C₂×C₃×C₄	—	2	1	no	—
214	C₂×C₃×C₄	—	2	2	no	—
215	C₂×C₃×C₄	—	2	1	no	—
216	C₂×C₃×C₄	—	2	2	no	—
217	C₂×C₃×C₄	—	3	4	no	—
218	C₂×C₃×C₄	—	4	4	no	—
219	C₂×C₃×C₄	—	24	8	no	—
220	C₂×C₃×C₄	C₂×C₄×D₃	1	2	yes	—
221	C₂×C₃×C₄	D₃×D₄	1	1	yes	characteristic
222	C₂×C₃×C₄	#239	1	2	yes	—
223	C₂×C₃×C₄	C₂²×C₃×C₄	1	2	yes	—
224	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
225	C₂×C₃×C₄	C₃×#41	1	2	yes	—
226	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
227	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
228	C₂×Dic₃	C₂×C₃×D₄	1	4	yes	—
229	D₁₂	—	2	8	no	—
230	D₁₂	—	2	4	no	—
231	D₁₂	C₂²×C₃×C₄	1	8	yes	—
232	C₄×D₃	—	8	8	no	—
233	C₃×C₈	—	2	2	no	—
234	C₃×C₈	—	2	2	no	—
235	C₃×C₈	—	6	2	no	—
236	C₃×C₈	C₂×C₄×D₃	1	2	yes	—
237	C₃×C₈	C₂×C₄×D₃	1	2	yes	—
238	C₃×C₈	C₂²×C₃×C₄	1	2	yes	—
239	C₃×C₈	C₂²×C₃×C₄	1	2	yes	—
240	C₃⋊C₈	—	2	2	no	—
241	C₂×C₃²	—	2	2	no	—
242	C₂×C₃²	C₂×C₄×D₄	1	1	yes	characteristic
243	C₂×C₃²	#576	1	2	yes	—
244	C₃×D₃	—	4	8	no	—
245	C₂⁴	—	6	2	no	—
246	C₂×D₄	—	3	4	no	—
247	C₂×D₄	—	3	8	no	—
248	C₂×D₄	—	6	2	no	—
249	C₂×D₄	—	6	4	no	—
250	C₂²×C₄	—	6	8	no	—
251	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
252	D₈	—	3	8	no	—
253	D₈	—	3	8	no	—
254	M₁₆	—	6	2	no	—
255	C₂×C₈	—	3	2	no	—
256	C₂×C₈	C₃×C₄×D₃	1	4	yes	complemented
257	C₂×C₈	C₂²×C₃×D₃	1	1	yes	characteristic
258	C₂×C₈	C₂²×C₃×D₃	1	1	yes	characteristic
259	C₄⋊C₄	—	3	2	no	—
260	C₄⋊C₄	C₂²×C₃×D₃	1	4	yes	—
261	C₂²⋊C₄	—	2	2	no	—
262	C₂²⋊C₄	—	3	2	no	—
263	C₂²⋊C₄	—	6	8	no	—
264	C₄²	—	2	2	no	—
265	C₄²	—	3	2	no	—
266	C₂²×C₃	—	2	2	no	—
267	C₂²×C₃	—	2	2	no	—
268	C₂²×C₃	—	2	2	no	—
269	C₂²×C₃	—	2	1	no	—
270	C₂²×C₃	—	4	2	no	—
271	C₂²×C₃	—	6	8	no	—
272	C₂²×C₃	—	12	8	no	—
273	C₂²×C₃	—	24	8	no	—
274	C₂²×C₃	#893	1	2	yes	—
275	C₂²×C₃	C₃×C₄×D₄	1	2	yes	—
276	C₂²×C₃	C₂×D₃×D₄	1	1	yes	characteristic
277	C₂²×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
278	C₂×D₃	—	2	8	no	—
279	C₂×D₃	—	4	8	no	—
280	C₂×D₃	—	8	8	no	—
281	C₃×C₄	—	2	2	no	—
282	C₃×C₄	—	2	1	no	—
283	C₃×C₄	—	2	1	no	—
284	C₃×C₄	—	4	4	no	—
285	C₃×C₄	—	4	4	no	—
286	C₃×C₄	—	6	4	no	—
287	C₃×C₄	—	8	4	no	—
288	C₃×C₄	#893	1	2	yes	—
289	C₃×C₄	C₃×C₄×D₄	1	2	yes	—
290	C₃×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
291	C₃×C₄	C₂×#239	1	1	yes	characteristic
292	C₃×C₄	C₂³×C₃×C₄	1	1	yes	characteristic
293	C₃×C₄	C₂×C₃×#41	1	1	yes	characteristic
294	Dic₃	—	2	4	no	—
295	C₃²	#2948	1	1	yes	characteristic, complemented, Sylow
296	C₂³	—	6	4	no	—
297	C₂³	—	6	8	no	—
298	C₂³	—	24	4	no	—
299	C₂³	C₃×D₃×D₄	1	1	yes	characteristic
300	D₄	—	3	8	no	—
301	D₄	—	6	8	no	—
302	D₄	—	6	4	no	—
303	C₂×C₄	—	2	4	no	—
304	C₂×C₄	—	3	4	no	—
305	C₂×C₄	—	24	8	no	—
306	C₂×C₄	C₂×C₃×C₄×D₃	1	2	yes	—
307	C₂×C₄	C₃×D₃×D₄	1	1	yes	characteristic
308	C₂×C₄	C₃×#239	1	2	yes	—
309	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
310	C₈	—	6	2	no	—
311	C₈	C₂×C₃×C₄×D₃	1	2	yes	—
312	C₈	C₂×C₃×C₄×D₃	1	2	yes	—
313	C₂×C₃	—	2	2	no	—
314	C₂×C₃	—	2	2	no	—
315	C₂×C₃	—	2	1	no	—
316	C₂×C₃	—	2	2	no	—
317	C₂×C₃	—	4	2	no	—
318	C₂×C₃	—	12	8	no	—
319	C₂×C₃	C₂×#893	1	1	yes	characteristic
320	C₂×C₃	#5769	1	2	yes	—
321	C₂×C₃	C₂×C₃×C₄×D₄	1	1	yes	characteristic
322	C₂×C₃	C₃×#576	1	2	yes	—
323	D₃	—	4	8	no	—
324	C₂²	—	2	2	no	—
325	C₂²	—	6	8	no	—
326	C₂²	—	12	8	no	—
327	C₂²	—	24	8	no	—
328	C₂²	C₃×#893	1	2	yes	—
329	C₂²	C₂×C₃×D₃×D₄	1	1	yes	characteristic
330	C₄	—	4	4	no	—
331	C₄	—	6	4	no	—
332	C₄	C₃×#893	1	2	yes	—
333	C₄	C₂²×C₃×C₄×D₃	1	1	yes	characteristic
334	C₄	C₂×C₃×#239	1	1	yes	characteristic
335	C₃	—	2	1	no	—
336	C₃	#79167	1	1	yes	characteristic, direct product factor
337	C₃	C₃×#2948	1	1	yes	characteristic, complemented
338	C₂	—	2	2	no	—
339	C₂	—	12	8	no	—
340	C₂	C₂×C₃×#893	1	1	yes	characteristic
341	C₂	C₃×#5769	1	2	yes	—

	subgroup	G/H
center	C₂²×C₃	C₂×D₃×D₄
commutator	C₃×C₄	C₂³×C₃×C₄
Frattini	C₂×C₄	C₂³×C₃×D₃
Fitting	C₃²×#427	C₂
socle	C₂²×C₃²	C₂²×D₄
prime radical	C₂²×C₃×D₂₄	C₂
cosocle	C₂×C₃×C₄	C₂⁴×C₃
hypercenter	C₃×#427	D₃
hypocenter	C₃	C₃×#2948
LCS	G ▷ C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₂²×C₃×C₄ ◁ C₃×#427

Complements

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

N	H ≅ G/N	type
2. C₃×#5521	C₂	semidirect
3. C₃²×#427	C₂	semidirect
4. C₃×#5101	C₂	semidirect
5. C₃×#5001	C₂	semidirect
6. C₃×#4872	C₂	semidirect
7. C₃×#4869	C₂	semidirect
9. #79167	C₃	direct (N × H)
15. C₂×C₃×D₂₄	C₄	semidirect
18. C₃×#893	C₂²	semidirect
21. C₃²×#107	C₂²	semidirect
22. C₃²×#106	C₂²	semidirect
23. C₃×#815	C₂²	semidirect
24. C₃×C₈×Dic₃	C₂²	semidirect
25. C₃×#809	C₂²	semidirect
29. #5521	C₂×C₃	semidirect
33. C₃×#427	D₃	semidirect
34. C₃×#427	C₂×C₃	semidirect
37. #5101	C₂×C₃	semidirect
38. #5001	C₂×C₃	semidirect
39. #4872	C₂×C₃	semidirect
40. #4869	C₂×C₃	semidirect
45. C₂×C₃×D₁₂	C₂×C₄	semidirect
48. C₂×C₃²×C₈	C₂×C₄	semidirect
60. C₃×D₂₄	C₂×C₄	semidirect
61. C₃×D₂₄	C₂×C₄	semidirect
81. C₂×D₂₄	C₃×C₄	semidirect
84. #893	C₂²×C₃	semidirect
88. C₃×#107	C₂×D₃	semidirect
89. C₃×#107	C₂²×C₃	semidirect
91. C₃×#106	C₂×D₃	semidirect
92. C₃×#106	C₂²×C₃	semidirect
96. #815	C₂²×C₃	semidirect
97. C₈×Dic₃	C₂²×C₃	semidirect
98. #809	C₂²×C₃	semidirect
120. #427	C₃×D₃	semidirect
135. C₂×D₁₂	C₂×C₃×C₄	semidirect
145. C₂×C₃×C₈	C₄×D₃	semidirect
146. C₂×C₃×C₈	C₂×C₃×C₄	semidirect
170. D₂₄	C₂×C₃×C₄	semidirect
171. D₂₄	C₂×C₃×C₄	semidirect
194. #107	C₂×C₃×D₃	semidirect
195. #106	C₂×C₃×D₃	semidirect
256. C₂×C₈	C₃×C₄×D₃	semidirect
295. C₃²	#2948	semidirect
336. C₃	#79167	direct (N × H)
337. C₃	C₃×#2948	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₃×D₂₄	2
C₃×#5521	2
C₃²×#427	2
C₃×#5101	2
C₃×#5001	2
C₃×#4872	2
C₃×#4869	2
C₃×#2948	3
#79167	3

Subgroups — C3×#79167 #11860672

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#79167 #11860672