Subgroups — C₃×#70576 #11791090

Order 1152.

817 conjugacy classes of subgroups.

The subgroup lattice has 367 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	C₂×C₃²×#106	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×#815	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#4988	C₂	1	2	yes	maximal, complemented
5	C₂×C₃×#809	C₂	1	2	yes	maximal, complemented
6	C₃×#1972	—	3	1	no	maximal
7	#70576	C₃	1	1	yes	maximal, characteristic, direct product factor
8	C₂²×C₃×D₁₂	C₂²	1	2	yes	—
9	C₂²×C₃²×C₈	C₂²	1	1	yes	characteristic
10	C₂×C₃²×C₄⋊C₄	C₂²	1	2	yes	—
11	C₂×C₃×(C₂×D₃)⋊C₄	—	2	4	no	—
12	C₂×C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic
13	C₂²×C₃×C₃⋊C₈	C₂²	1	1	yes	characteristic
14	C₂×C₃×D₂₄	—	2	2	no	—
15	C₂×C₃×D₂₄	—	2	2	no	—
16	C₂×C₃×D₂₄	C₄	1	4	yes	complemented
17	C₃²×#106	—	2	2	no	—
18	C₃×#815	—	2	2	no	—
19	C₃×#809	—	2	4	no	—
20	C₂²×C₃×D₈	—	3	1	no	—
21	C₂²×D₂₄	C₂×C₃	1	1	yes	characteristic
22	C₂×C₃×#106	—	2	1	no	—
23	C₂×C₃×#106	D₃	1	1	yes	characteristic, complemented
24	C₂×C₃×#106	C₂×C₃	1	1	yes	characteristic, complemented
25	C₂×C₃×#102	—	3	2	no	—
26	C₂×C₃×#97	—	3	1	no	—
27	C₃×#390	—	3	2	no	—
28	C₂×#815	C₂×C₃	1	1	yes	characteristic, complemented
29	#4988	C₂×C₃	1	2	yes	complemented
30	C₂×#809	C₂×C₃	1	2	yes	complemented
31	C₂³×C₃×D₃	—	2	2	no	—
32	C₂²×C₃²×C₄	—	2	2	no	—
33	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
34	C₂²×C₃×Dic₃	D₄	1	2	yes	—
35	C₂×C₃×D₁₂	—	2	2	no	—
36	C₂×C₃×D₁₂	—	2	2	no	—
37	C₂×C₃×D₁₂	—	2	2	no	—
38	C₂×C₃×D₁₂	—	2	2	no	—
39	C₂×C₃×D₁₂	—	2	2	no	—
40	C₂×C₃×D₁₂	C₂×C₄	1	4	yes	—
41	C₂×C₃²×C₈	C₂×C₄	1	2	yes	—
42	C₂×C₃²×C₈	D₄	1	2	yes	—
43	C₂×C₃²×C₈	D₄	1	2	yes	—
44	C₃²×C₄⋊C₄	—	2	2	no	—
45	C₃²×C₄⋊C₄	—	2	2	no	—
46	C₃×(C₂×D₃)⋊C₄	—	4	8	no	—
47	C₃×C₄×Dic₃	—	2	1	no	—
48	C₃×C₄×Dic₃	—	2	1	no	—
49	C₂×C₃×C₃⋊C₈	—	2	1	no	—
50	C₂×C₃×C₃⋊C₈	—	2	1	no	—
51	C₂×C₃×C₃⋊C₈	D₄	1	2	yes	—
52	C₃×D₂₄	—	2	8	no	—
53	#1972	—	3	1	no	Sylow
54	C₂²×C₃×D₄	—	3	2	no	—
55	C₂²×D₁₂	C₂²×C₃	1	2	yes	—
56	C₂×C₃×D₈	—	3	4	no	—
57	C₂×C₃×D₈	—	6	2	no	—
58	C₂×C₃×D₈	—	6	2	no	—
59	C₂²×C₃×C₈	—	2	1	no	—
60	C₂²×C₃×C₈	—	3	1	no	—
61	C₂²×C₃×C₈	C₂×D₃	1	1	yes	characteristic
62	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
63	C₂×C₃×C₄⋊C₄	—	2	2	no	—
64	C₂×C₃×C₄⋊C₄	C₂×D₃	1	2	yes	—
65	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	2	yes	—
66	C₂×C₃×C₂²⋊C₄	—	6	4	no	—
67	C₂×C₃×C₄²	—	3	1	no	—
68	C₂×(C₂×D₃)⋊C₄	—	2	4	no	—
69	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
70	C₂²×C₃⋊C₈	C₂²×C₃	1	1	yes	characteristic
71	C₂×D₂₄	—	2	2	no	—
72	C₂×D₂₄	—	2	2	no	—
73	C₂×D₂₄	C₃×C₄	1	4	yes	complemented
74	C₃×#106	—	2	4	no	—
75	C₃×#106	—	2	2	no	—
76	C₃×#106	—	2	2	no	—
77	C₃×#102	—	6	4	no	—
78	C₃×#97	—	6	2	no	—
79	#815	—	2	2	no	—
80	#809	—	2	4	no	—
81	C₂³×C₃²	C₂×D₄	1	1	yes	characteristic
82	C₂²×C₃×D₃	—	2	4	no	—
83	C₂²×C₃×D₃	—	4	2	no	—
84	C₂²×C₃×D₃	—	4	2	no	—
85	C₂²×C₃×D₃	—	4	4	no	—
86	C₂²×C₃×D₃	—	4	4	no	—
87	C₂×C₃²×C₄	—	4	2	no	—
88	C₂×C₃²×C₄	—	4	4	no	—
89	C₂×C₃²×C₄	C₂²×C₄	1	1	yes	characteristic
90	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
91	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
92	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
93	C₂×C₃²×C₄	#41	1	1	yes	characteristic
94	C₂×C₃²×C₄	#41	1	1	yes	characteristic
95	C₂×C₃×Dic₃	—	2	2	no	—
96	C₂×C₃×Dic₃	—	2	4	no	—
97	C₃×D₁₂	—	2	4	no	—
98	C₃×D₁₂	—	2	4	no	—
99	C₃×D₁₂	—	4	2	no	—
100	C₃×D₁₂	—	4	2	no	—
101	C₃²×C₈	C₂²⋊C₄	1	4	yes	complemented
102	C₃×C₃⋊C₈	—	2	2	no	—
103	C₂²×D₈	—	3	1	no	—
104	C₂×#106	C₃×D₃	1	1	yes	characteristic, complemented
105	C₂×#102	—	3	2	no	—
106	C₂×#97	—	3	1	no	—
107	#390	—	3	2	no	—
108	C₂⁴×C₃	—	6	2	no	—
109	C₂³×D₃	—	2	2	no	—
110	C₂×C₃×D₄	—	3	4	no	—
111	C₂×C₃×D₄	—	6	2	no	—
112	C₂×C₃×D₄	—	6	2	no	—
113	C₂×C₃×D₄	—	6	2	no	—
114	C₂×C₃×D₄	—	6	2	no	—
115	C₂×C₃×D₄	—	6	2	no	—
116	C₂²×C₃×C₄	—	2	2	no	—
117	C₂²×C₃×C₄	—	2	2	no	—
118	C₂²×C₃×C₄	—	2	1	no	—
119	C₂²×C₃×C₄	—	3	2	no	—
120	C₂²×C₃×C₄	—	4	2	no	—
121	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
122	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
123	C₂²×Dic₃	C₃×D₄	1	2	yes	—
124	C₂×D₁₂	—	2	2	no	—
125	C₂×D₁₂	—	2	2	no	—
126	C₂×D₁₂	—	2	2	no	—
127	C₂×D₁₂	—	2	2	no	—
128	C₂×D₁₂	—	2	2	no	—
129	C₂×D₁₂	C₂×C₃×C₄	1	4	yes	—
130	C₃×D₈	—	6	8	no	—
131	C₂×C₃×C₈	—	2	2	no	—
132	C₂×C₃×C₈	—	2	2	no	—
133	C₂×C₃×C₈	—	2	2	no	—
134	C₂×C₃×C₈	—	3	2	no	—
135	C₂×C₃×C₈	—	6	1	no	—
136	C₂×C₃×C₈	—	6	1	no	—
137	C₂×C₃×C₈	C₄×D₃	1	2	yes	—
138	C₂×C₃×C₈	D₁₂	1	2	yes	—
139	C₂×C₃×C₈	#67	1	2	yes	—
140	C₂×C₃×C₈	C₂×C₃×C₄	1	2	yes	—
141	C₂×C₃×C₈	C₃×D₄	1	2	yes	—
142	C₂×C₃×C₈	C₃×D₄	1	2	yes	—
143	C₃×C₄⋊C₄	—	2	4	no	—
144	C₃×C₄⋊C₄	—	2	2	no	—
145	C₃×C₄⋊C₄	—	2	2	no	—
146	C₃×C₄⋊C₄	—	2	2	no	—
147	C₃×C₄⋊C₄	—	2	2	no	—
148	C₃×C₄⋊C₄	—	4	2	no	—
149	C₃×C₂²⋊C₄	—	12	8	no	—
150	C₃×C₄²	—	6	1	no	—
151	C₃×C₄²	—	6	1	no	—
152	(C₂×D₃)⋊C₄	—	4	8	no	—
153	C₄×Dic₃	—	2	1	no	—
154	C₄×Dic₃	—	2	1	no	—
155	C₂×C₃⋊C₈	—	2	1	no	—
156	C₂×C₃⋊C₈	—	2	1	no	—
157	C₂×C₃⋊C₈	C₃×D₄	1	2	yes	—
158	D₂₄	—	2	8	no	—
159	C₂²×C₃²	C₄×D₄	1	1	yes	characteristic
160	C₂²×C₃²	#121	1	1	yes	characteristic
161	C₂²×C₃²	#127	1	1	yes	characteristic
162	C₂²×C₃²	AGL(1,ℤ/8)	1	4	yes	—
163	C₂×C₃×D₃	—	4	4	no	—
164	C₂×C₃×D₃	—	4	8	no	—
165	C₂×C₃×D₃	—	8	4	no	—
166	C₂×C₃×D₃	—	8	2	no	—
167	C₂×C₃×D₃	—	8	2	no	—
168	C₃²×C₄	—	8	2	no	—
169	C₃²×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
170	C₃²×C₄	C₄×D₄	1	1	yes	characteristic
171	C₃²×C₄	#121	1	1	yes	characteristic
172	C₃²×C₄	#124	1	1	yes	characteristic
173	C₃×Dic₃	—	4	2	no	—
174	C₂²×D₄	—	3	2	no	—
175	C₂×D₈	—	3	4	no	—
176	C₂×D₈	—	6	2	no	—
177	C₂×D₈	—	6	2	no	—
178	C₂²×C₈	—	3	1	no	—
179	C₂²×C₈	C₂×C₃×D₃	1	1	yes	characteristic
180	C₂×C₄⋊C₄	C₂×C₃×D₃	1	2	yes	—
181	C₂×C₂²⋊C₄	—	6	4	no	—
182	C₂×C₄²	—	3	1	no	—
183	#106	—	2	2	no	—
184	#102	—	6	4	no	—
185	#97	—	6	2	no	—
186	C₂³×C₃	—	2	1	no	—
187	C₂³×C₃	—	6	4	no	—
188	C₂³×C₃	—	12	2	no	—
189	C₂³×C₃	—	12	4	no	—
190	C₂³×C₃	—	12	4	no	—
191	C₂³×C₃	—	12	2	no	—
192	C₂³×C₃	D₃×D₄	1	1	yes	characteristic
193	C₂³×C₃	C₂×C₃×D₄	1	1	yes	characteristic
194	C₂²×D₃	—	2	4	no	—
195	C₂²×D₃	—	4	2	no	—
196	C₂²×D₃	—	4	2	no	—
197	C₂²×D₃	—	4	4	no	—
198	C₂²×D₃	—	4	4	no	—
199	C₃×D₄	—	6	4	no	—
200	C₃×D₄	—	6	4	no	—
201	C₃×D₄	—	12	2	no	—
202	C₃×D₄	—	12	2	no	—
203	C₂×C₃×C₄	—	2	1	no	—
204	C₂×C₃×C₄	—	2	1	no	—
205	C₂×C₃×C₄	—	2	1	no	—
206	C₂×C₃×C₄	—	2	1	no	—
207	C₂×C₃×C₄	—	2	1	no	—
208	C₂×C₃×C₄	—	2	1	no	—
209	C₂×C₃×C₄	—	4	4	no	—
210	C₂×C₃×C₄	—	4	4	no	—
211	C₂×C₃×C₄	—	4	2	no	—
212	C₂×C₃×C₄	—	4	2	no	—
213	C₂×C₃×C₄	—	4	4	no	—
214	C₂×C₃×C₄	—	6	2	no	—
215	C₂×C₃×C₄	—	6	4	no	—
216	C₂×C₃×C₄	—	8	4	no	—
217	C₂×C₃×C₄	C₂×C₄×D₃	1	1	yes	characteristic
218	C₂×C₃×C₄	C₂×D₁₂	1	1	yes	characteristic
219	C₂×C₃×C₄	D₃×D₄	1	1	yes	characteristic
220	C₂×C₃×C₄	#239	1	1	yes	characteristic
221	C₂×C₃×C₄	#239	1	1	yes	characteristic
222	C₂×C₃×C₄	C₂×#67	1	1	yes	characteristic
223	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
224	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
225	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
226	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
227	C₂×C₃×C₄	C₃×#41	1	1	yes	characteristic
228	C₂×C₃×C₄	C₃×#41	1	1	yes	characteristic
229	C₂×Dic₃	—	2	2	no	—
230	C₂×Dic₃	—	2	4	no	—
231	D₁₂	—	2	4	no	—
232	D₁₂	—	2	4	no	—
233	D₁₂	—	4	2	no	—
234	D₁₂	—	4	2	no	—
235	C₃×C₈	—	2	4	no	—
236	C₃×C₈	—	6	2	no	—
237	C₃×C₈	(C₂×D₃)⋊C₄	1	4	yes	complemented
238	C₃×C₈	C₃×C₂²⋊C₄	1	4	yes	complemented
239	C₃⋊C₈	—	2	2	no	—
240	C₂×C₃²	#390	1	1	yes	characteristic
241	C₂×C₃²	#442	1	2	yes	—
242	C₂×C₃²	#469	1	2	yes	—
243	C₂×C₃²	#496	1	2	yes	—
244	C₃×D₃	—	8	4	no	—
245	C₂⁴	—	6	2	no	—
246	C₂×D₄	—	3	4	no	—
247	C₂×D₄	—	6	2	no	—
248	C₂×D₄	—	6	2	no	—
249	C₂×D₄	—	6	2	no	—
250	C₂×D₄	—	6	2	no	—
251	C₂×D₄	—	6	2	no	—
252	C₂²×C₄	—	2	2	no	—
253	C₂²×C₄	—	3	2	no	—
254	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
255	D₈	—	6	8	no	—
256	C₂×C₈	—	3	2	no	—
257	C₂×C₈	—	6	1	no	—
258	C₂×C₈	—	6	1	no	—
259	C₂×C₈	C₃×C₄×D₃	1	2	yes	—
260	C₂×C₈	C₃×D₁₂	1	2	yes	—
261	C₂×C₈	C₃×#67	1	2	yes	—
262	C₄⋊C₄	—	2	2	no	—
263	C₄⋊C₄	—	2	2	no	—
264	C₂²⋊C₄	—	12	8	no	—
265	C₄²	—	6	1	no	—
266	C₄²	—	6	1	no	—
267	C₂²×C₃	—	2	1	no	—
268	C₂²×C₃	—	2	1	no	—
269	C₂²×C₃	—	2	4	no	—
270	C₂²×C₃	—	2	1	no	—
271	C₂²×C₃	—	12	8	no	—
272	C₂²×C₃	—	12	4	no	—
273	C₂²×C₃	—	24	4	no	—
274	C₂²×C₃	—	24	2	no	—
275	C₂²×C₃	—	24	2	no	—
276	C₂²×C₃	#893	1	1	yes	characteristic
277	C₂²×C₃	#895	1	1	yes	characteristic
278	C₂²×C₃	#914	1	4	yes	—
279	C₂²×C₃	#940	1	1	yes	characteristic
280	C₂²×C₃	C₃×C₄×D₄	1	1	yes	characteristic
281	C₂²×C₃	C₃×#121	1	1	yes	characteristic
282	C₂²×C₃	C₃×#127	1	1	yes	characteristic
283	C₂²×C₃	C₃×AGL(1,ℤ/8)	1	4	yes	—
284	C₂×D₃	—	4	4	no	—
285	C₂×D₃	—	4	8	no	—
286	C₂×D₃	—	8	4	no	—
287	C₂×D₃	—	8	2	no	—
288	C₂×D₃	—	8	2	no	—
289	C₃×C₄	—	2	1	no	—
290	C₃×C₄	—	2	1	no	—
291	C₃×C₄	—	2	1	no	—
292	C₃×C₄	—	2	1	no	—
293	C₃×C₄	—	8	4	no	—
294	C₃×C₄	—	8	2	no	—
295	C₃×C₄	—	8	2	no	—
296	C₃×C₄	—	12	2	no	—
297	C₃×C₄	#893	1	1	yes	characteristic
298	C₃×C₄	#895	1	1	yes	characteristic
299	C₃×C₄	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
300	C₃×C₄	#947	1	1	yes	characteristic
301	C₃×C₄	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
302	C₃×C₄	C₃×C₄×D₄	1	1	yes	characteristic
303	C₃×C₄	C₃×#121	1	1	yes	characteristic
304	C₃×C₄	C₃×#124	1	1	yes	characteristic
305	Dic₃	—	4	2	no	—
306	C₃²	#1972	1	1	yes	characteristic, complemented, Sylow
307	C₂³	—	6	4	no	—
308	C₂³	—	12	2	no	—
309	C₂³	—	12	4	no	—
310	C₂³	—	12	4	no	—
311	C₂³	—	12	2	no	—
312	C₂³	C₃×D₃×D₄	1	1	yes	characteristic
313	D₄	—	6	4	no	—
314	D₄	—	6	4	no	—
315	D₄	—	12	2	no	—
316	D₄	—	12	2	no	—
317	C₂×C₄	—	4	4	no	—
318	C₂×C₄	—	4	2	no	—
319	C₂×C₄	—	6	2	no	—
320	C₂×C₄	—	6	4	no	—
321	C₂×C₄	C₂×C₃×C₄×D₃	1	1	yes	characteristic
322	C₂×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
323	C₂×C₄	C₃×D₃×D₄	1	1	yes	characteristic
324	C₂×C₄	C₃×#239	1	1	yes	characteristic
325	C₂×C₄	C₃×#239	1	1	yes	characteristic
326	C₂×C₄	C₂×C₃×#67	1	1	yes	characteristic
327	C₈	—	6	2	no	—
328	C₈	C₃×(C₂×D₃)⋊C₄	1	4	yes	complemented
329	C₂×C₃	—	2	2	no	—
330	C₂×C₃	—	2	1	no	—
331	C₂×C₃	—	2	2	no	—
332	C₂×C₃	—	2	2	no	—
333	C₂×C₃	—	24	4	no	—
334	C₂×C₃	#4865	1	2	yes	—
335	C₂×C₃	#4869	1	2	yes	—
336	C₂×C₃	#4988	1	1	yes	characteristic
337	C₂×C₃	#5176	1	2	yes	—
338	C₂×C₃	C₃×#390	1	1	yes	characteristic
339	C₂×C₃	C₃×#442	1	2	yes	—
340	C₂×C₃	C₃×#469	1	2	yes	—
341	C₂×C₃	C₃×#496	1	2	yes	—
342	D₃	—	8	4	no	—
343	C₂²	—	12	4	no	—
344	C₂²	—	12	8	no	—
345	C₂²	—	24	2	no	—
346	C₂²	—	24	2	no	—
347	C₂²	—	24	4	no	—
348	C₂²	C₃×#893	1	1	yes	characteristic
349	C₂²	C₃×#895	1	1	yes	characteristic
350	C₂²	C₃×#914	1	4	yes	—
351	C₂²	C₃×#940	1	1	yes	characteristic
352	C₄	—	8	2	no	—
353	C₄	—	12	2	no	—
354	C₄	C₃×#893	1	1	yes	characteristic
355	C₄	C₃×#895	1	1	yes	characteristic
356	C₄	C₂×C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
357	C₄	C₃×#947	1	1	yes	characteristic
358	C₃	—	2	1	no	—
359	C₃	#70576	1	1	yes	characteristic, direct product factor
360	C₃	C₃×#1972	1	1	yes	characteristic, complemented
361	C₂	—	24	4	no	—
362	C₂	C₃×#4865	1	2	yes	—
363	C₂	C₃×#4869	1	2	yes	—
364	C₂	C₃×#4988	1	1	yes	characteristic
365	C₂	C₃×#5176	1	2	yes	—

	subgroup	G/H
center	C₂³×C₃	D₃×D₄
commutator	C₂×C₃×C₄	C₂²×C₃×C₄
Frattini	C₂²×C₄	C₂²×C₃×D₃
Fitting	C₂×C₃²×#106	C₂
socle	C₂³×C₃²	C₂×D₄
prime radical	C₂²×C₃×D₂₄	C₂
cosocle	C₂²×C₃×C₄	C₂³×C₃
hypercenter	C₂×C₃×#106	D₃
hypocenter	C₃	C₃×#1972
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₃ ◁ C₂²×C₃×C₄ ◁ C₂×C₃×#106

Complements

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

N	H ≅ G/N	type
2. C₂×C₃²×#106	C₂	semidirect
3. C₂×C₃×#815	C₂	semidirect
4. C₃×#4988	C₂	semidirect
5. C₂×C₃×#809	C₂	semidirect
7. #70576	C₃	direct (N × H)
16. C₂×C₃×D₂₄	C₄	semidirect
23. C₂×C₃×#106	D₃	semidirect
24. C₂×C₃×#106	C₂×C₃	semidirect
28. C₂×#815	C₂×C₃	semidirect
29. #4988	C₂×C₃	semidirect
30. C₂×#809	C₂×C₃	semidirect
73. C₂×D₂₄	C₃×C₄	semidirect
101. C₃²×C₈	C₂²⋊C₄	semidirect
104. C₂×#106	C₃×D₃	semidirect
237. C₃×C₈	(C₂×D₃)⋊C₄	semidirect
238. C₃×C₈	C₃×C₂²⋊C₄	semidirect
306. C₃²	#1972	semidirect
328. C₈	C₃×(C₂×D₃)⋊C₄	semidirect
359. C₃	#70576	direct (N × H)
360. C₃	C₃×#1972	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
C₂×C₃²×#106	2
C₂×C₃×#815	2
C₃×#4988	2
C₂×C₃×#809	2
C₃×#1972	3
#70576	3

Subgroups — C3×#70576 #11791090

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#70576 #11791090