Subgroups — C₄₇×#9148 #26048846

Order 12032.

800 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₇×#2854	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×C₄⋊C₄×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₇×#1817	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₄₇×#327	C₂	1	2	yes	maximal
5	C₄₇×#1294	C₂	1	2	yes	maximal, complemented
6	C₂×#123×C₄₇	—	2	1	no	—
7	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
8	C₂²×C₄⋊C₄×C₄₇	—	2	1	no	—
9	C₂²×C₄²×C₄₇	—	2	1	no	—
10	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
11	C₂×C₂²⋊C₈×C₄₇	C₂²	1	2	yes	—
12	C₄₇×#390	C₄	1	2	yes	complemented
13	C₄₇×#389	C₄	1	2	yes	complemented
14	C₄₇×#388	—	2	2	no	—
15	C₄₇×#386	—	2	1	no	—
16	C₄₇×#380	C₂²	1	1	yes	characteristic
17	C₄×C₄⋊C₄×C₄₇	—	2	4	no	—
18	C₂×#95×C₄₇	C₂²	1	2	yes	—
19	C₄₇×#336	—	2	2	no	—
20	C₄₇×#327	—	2	4	no	—
21	C₂²×D₄×C₄₇	—	2	1	no	—
22	C₂²×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
23	C₂³×C₄×C₄₇	—	2	2	no	—
24	C₂³×C₄×C₄₇	D₄	1	1	yes	characteristic
25	C₂³×C₄×C₄₇	D₄	1	1	yes	characteristic
26	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
27	C₂²×C₈×C₄₇	—	2	2	no	—
28	#123×C₄₇	—	4	2	no	—
29	#123×C₄₇	—	4	2	no	—
30	#121×C₄₇	—	2	2	no	—
31	#121×C₄₇	—	2	2	no	—
32	C₂×C₄⋊C₄×C₄₇	—	2	8	no	—
33	C₂×C₄⋊C₄×C₄₇	—	2	4	no	—
34	C₂×C₄⋊C₄×C₄₇	—	2	2	no	—
35	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
36	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	2	yes	—
37	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
38	C₂×C₂²⋊C₄×C₄₇	—	2	2	no	—
39	C₂×C₂²⋊C₄×C₄₇	—	2	2	no	—
40	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
41	C₂×C₄²×C₄₇	—	2	2	no	—
42	C₂×C₄²×C₄₇	—	2	2	no	—
43	C₂×C₄²×C₄₇	—	2	4	no	—
44	C₂×C₄²×C₄₇	—	4	2	no	—
45	C₂×C₄²×C₄₇	—	4	2	no	—
46	C₂×C₄²×C₄₇	C₂×C₄	1	2	yes	—
47	C₂×C₄²×C₄₇	D₄	1	2	yes	—
48	C₂²⋊C₈×C₄₇	—	2	2	no	—
49	C₂²⋊C₈×C₄₇	—	2	2	no	—
50	#95×C₄₇	—	2	2	no	—
51	#95×C₄₇	—	2	2	no	—
52	#95×C₄₇	—	2	1	no	—
53	#95×C₄₇	D₄	1	4	yes	—
54	C₂⁴×C₄₇	—	2	1	no	—
55	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
56	C₂×D₄×C₄₇	—	2	2	no	—
57	C₂×D₄×C₄₇	—	4	2	no	—
58	C₂×D₄×C₄₇	—	4	1	no	—
59	C₂×D₄×C₄₇	—	4	1	no	—
60	C₂×D₄×C₄₇	—	4	1	no	—
61	C₂×D₄×C₄₇	—	4	1	no	—
62	C₂×D₄×C₄₇	—	4	1	no	—
63	C₂×D₄×C₄₇	—	4	1	no	—
64	C₂²×C₄×C₄₇	—	2	1	no	—
65	C₂²×C₄×C₄₇	—	2	1	no	—
66	C₂²×C₄×C₄₇	—	2	1	no	—
67	C₂²×C₄×C₄₇	—	2	1	no	—
68	C₂²×C₄×C₄₇	—	2	1	no	—
69	C₂²×C₄×C₄₇	—	2	1	no	—
70	C₂²×C₄×C₄₇	—	2	4	no	—
71	C₂²×C₄×C₄₇	—	2	8	no	—
72	C₂²×C₄×C₄₇	—	2	4	no	—
73	C₂²×C₄×C₄₇	—	2	2	no	—
74	C₂²×C₄×C₄₇	—	2	1	no	—
75	C₂²×C₄×C₄₇	—	4	2	no	—
76	C₂²×C₄×C₄₇	—	4	4	no	—
77	C₂²×C₄×C₄₇	—	4	2	no	—
78	C₂²×C₄×C₄₇	—	4	2	no	—
79	C₂²×C₄×C₄₇	C₂²⋊C₄	1	2	yes	—
80	C₂²×C₄×C₄₇	C₂²⋊C₄	1	2	yes	—
81	C₂²×C₄×C₄₇	D₈	1	2	yes	—
82	C₂²×C₄×C₄₇	SD₁₆	1	2	yes	—
83	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
84	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
85	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
86	C₂²×C₄×C₄₇	#41	1	2	yes	—
87	C₂×C₈×C₄₇	—	4	4	no	—
88	C₂×C₈×C₄₇	—	4	2	no	—
89	C₄⋊C₄×C₄₇	—	2	16	no	—
90	C₄⋊C₄×C₄₇	—	2	2	no	—
91	C₄⋊C₄×C₄₇	—	4	2	no	—
92	C₄⋊C₄×C₄₇	—	4	4	no	—
93	C₂²⋊C₄×C₄₇	—	4	1	no	—
94	C₂²⋊C₄×C₄₇	—	4	1	no	—
95	C₂²⋊C₄×C₄₇	—	4	4	no	—
96	C₂²⋊C₄×C₄₇	—	4	4	no	—
97	C₂²⋊C₄×C₄₇	—	4	2	no	—
98	C₄²×C₄₇	—	2	4	no	—
99	C₄²×C₄₇	—	2	4	no	—
100	C₄²×C₄₇	—	4	8	no	—
101	C₂³×C₄₇	—	2	2	no	—
102	C₂³×C₄₇	—	2	2	no	—
103	C₂³×C₄₇	—	4	1	no	—
104	C₂³×C₄₇	—	4	2	no	—
105	C₂³×C₄₇	—	4	1	no	—
106	C₂³×C₄₇	—	4	1	no	—
107	C₂³×C₄₇	—	4	2	no	—
108	C₂³×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
109	C₂³×C₄₇	#120	1	1	yes	characteristic
110	C₂³×C₄₇	#123	1	1	yes	characteristic
111	C₂³×C₄₇	C₂×D₈	1	1	yes	characteristic
112	C₂³×C₄₇	C₂×SD₁₆	1	1	yes	characteristic
113	C₂³×C₄₇	AGL(1,ℤ/8)	1	1	yes	characteristic
114	C₂³×C₄₇	#137	1	1	yes	characteristic
115	D₄×C₄₇	—	8	2	no	—
116	D₄×C₄₇	—	8	1	no	—
117	D₄×C₄₇	—	8	1	no	—
118	D₄×C₄₇	—	8	1	no	—
119	D₄×C₄₇	—	8	1	no	—
120	C₂×C₄×C₄₇	—	2	4	no	—
121	C₂×C₄×C₄₇	—	2	4	no	—
122	C₂×C₄×C₄₇	—	2	2	no	—
123	C₂×C₄×C₄₇	—	2	2	no	—
124	C₂×C₄×C₄₇	—	2	2	no	—
125	C₂×C₄×C₄₇	—	2	2	no	—
126	C₂×C₄×C₄₇	—	2	2	no	—
127	C₂×C₄×C₄₇	—	2	2	no	—
128	C₂×C₄×C₄₇	—	2	2	no	—
129	C₂×C₄×C₄₇	—	2	2	no	—
130	C₂×C₄×C₄₇	—	2	2	no	—
131	C₂×C₄×C₄₇	—	2	2	no	—
132	C₂×C₄×C₄₇	—	2	8	no	—
133	C₂×C₄×C₄₇	—	4	2	no	—
134	C₂×C₄×C₄₇	—	4	2	no	—
135	C₂×C₄×C₄₇	—	4	4	no	—
136	C₂×C₄×C₄₇	—	4	8	no	—
137	C₂×C₄×C₄₇	—	4	8	no	—
138	C₂×C₄×C₄₇	—	4	4	no	—
139	C₂×C₄×C₄₇	—	4	1	no	—
140	C₂×C₄×C₄₇	—	4	2	no	—
141	C₂×C₄×C₄₇	—	4	2	no	—
142	C₂×C₄×C₄₇	—	4	1	no	—
143	C₂×C₄×C₄₇	—	4	1	no	—
144	C₂×C₄×C₄₇	—	4	2	no	—
145	C₂×C₄×C₄₇	#102	1	4	yes	—
146	C₂×C₄×C₄₇	#104	1	4	yes	—
147	C₂×C₄×C₄₇	C₄×D₄	1	2	yes	—
148	C₂×C₄×C₄₇	#121	1	2	yes	—
149	C₈×C₄₇	—	8	2	no	—
150	#9148	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
151	C₂²×C₄₇	—	2	1	no	—
152	C₂²×C₄₇	—	2	1	no	—
153	C₂²×C₄₇	—	2	1	no	—
154	C₂²×C₄₇	—	2	1	no	—
155	C₂²×C₄₇	—	2	2	no	—
156	C₂²×C₄₇	—	2	2	no	—
157	C₂²×C₄₇	—	2	2	no	—
158	C₂²×C₄₇	—	2	2	no	—
159	C₂²×C₄₇	—	8	1	no	—
160	C₂²×C₄₇	—	8	1	no	—
161	C₂²×C₄₇	—	8	1	no	—
162	C₂²×C₄₇	—	8	2	no	—
163	C₂²×C₄₇	—	8	2	no	—
164	C₂²×C₄₇	#386	1	1	yes	characteristic
165	C₂²×C₄₇	#410	1	2	yes	—
166	C₂²×C₄₇	C₂×#102	1	1	yes	characteristic
167	C₂²×C₄₇	#417	1	1	yes	characteristic
168	C₂²×C₄₇	C₂×#104	1	2	yes	—
169	C₂²×C₄₇	#447	1	1	yes	characteristic
170	C₂²×C₄₇	#448	1	1	yes	characteristic
171	C₂²×C₄₇	#480	1	1	yes	characteristic
172	C₂²×C₄₇	#481	1	1	yes	characteristic
173	C₄×C₄₇	—	2	4	no	—
174	C₄×C₄₇	—	2	4	no	—
175	C₄×C₄₇	—	2	2	no	—
176	C₄×C₄₇	—	2	2	no	—
177	C₄×C₄₇	—	4	8	no	—
178	C₄×C₄₇	—	8	1	no	—
179	C₄×C₄₇	—	8	2	no	—
180	#2854	C₂×C₄₇	1	1	yes	characteristic
181	C₂×C₄×C₄⋊C₄	C₂×C₄₇	1	1	yes	characteristic, complemented
182	#1817	C₂×C₄₇	1	1	yes	characteristic, complemented
183	C₂×#327	C₂×C₄₇	1	2	yes	—
184	#1294	C₂×C₄₇	1	2	yes	complemented
185	C₂×C₄₇	—	2	1	no	—
186	C₂×C₄₇	—	2	1	no	—
187	C₂×C₄₇	—	2	1	no	—
188	C₂×C₄₇	—	2	1	no	—
189	C₂×C₄₇	—	16	1	no	—
190	C₂×C₄₇	#1502	1	2	yes	—
191	C₂×C₄₇	#1509	1	2	yes	—
192	C₂×C₄₇	#1874	1	1	yes	characteristic
193	C₂×C₄₇	#1896	1	1	yes	characteristic
194	C₂×C₄₇	#1899	1	1	yes	characteristic
195	C₂×#123	—	2	1	no	—
196	C₂×#121	C₂²×C₄₇	1	1	yes	characteristic
197	C₂²×C₄⋊C₄	—	2	1	no	—
198	C₂²×C₄²	—	2	1	no	—
199	C₂²×C₄²	C₂²×C₄₇	1	1	yes	characteristic
200	C₂×C₂²⋊C₈	C₂²×C₄₇	1	2	yes	—
201	#390	C₄×C₄₇	1	2	yes	complemented
202	#389	C₄×C₄₇	1	2	yes	complemented
203	#388	—	2	2	no	—
204	#386	—	2	1	no	—
205	#380	C₂²×C₄₇	1	1	yes	characteristic
206	C₄×C₄⋊C₄	—	2	4	no	—
207	C₂×#95	C₂²×C₄₇	1	2	yes	—
208	#336	—	2	2	no	—
209	#327	—	2	4	no	—
210	C₄₇	#9148	1	1	yes	characteristic, direct product factor, Sylow
211	C₂²×D₄	—	2	1	no	—
212	C₂²×D₄	C₂×C₄×C₄₇	1	1	yes	characteristic
213	C₂³×C₄	—	2	2	no	—
214	C₂³×C₄	D₄×C₄₇	1	1	yes	characteristic
215	C₂³×C₄	D₄×C₄₇	1	1	yes	characteristic
216	C₂³×C₄	C₂³×C₄₇	1	1	yes	characteristic
217	C₂²×C₈	—	2	2	no	—
218	#123	—	4	2	no	—
219	#123	—	4	2	no	—
220	#121	—	2	2	no	—
221	#121	—	2	2	no	—
222	C₂×C₄⋊C₄	—	2	8	no	—
223	C₂×C₄⋊C₄	—	2	4	no	—
224	C₂×C₄⋊C₄	—	2	2	no	—
225	C₂×C₄⋊C₄	C₂×C₄×C₄₇	1	1	yes	characteristic
226	C₂×C₄⋊C₄	C₂×C₄×C₄₇	1	2	yes	—
227	C₂×C₂²⋊C₄	—	2	1	no	—
228	C₂×C₂²⋊C₄	—	2	2	no	—
229	C₂×C₂²⋊C₄	—	2	2	no	—
230	C₂×C₂²⋊C₄	—	2	1	no	—
231	C₂×C₄²	—	2	2	no	—
232	C₂×C₄²	—	2	2	no	—
233	C₂×C₄²	—	2	4	no	—
234	C₂×C₄²	—	4	2	no	—
235	C₂×C₄²	—	4	2	no	—
236	C₂×C₄²	C₂×C₄×C₄₇	1	2	yes	—
237	C₂×C₄²	D₄×C₄₇	1	2	yes	—
238	C₂²⋊C₈	—	2	2	no	—
239	C₂²⋊C₈	—	2	2	no	—
240	#95	—	2	2	no	—
241	#95	—	2	2	no	—
242	#95	—	2	1	no	—
243	#95	D₄×C₄₇	1	4	yes	—
244	C₂⁴	—	2	1	no	—
245	C₂⁴	C₂×D₄×C₄₇	1	1	yes	characteristic
246	C₂×D₄	—	2	2	no	—
247	C₂×D₄	—	4	2	no	—
248	C₂×D₄	—	4	1	no	—
249	C₂×D₄	—	4	1	no	—
250	C₂×D₄	—	4	1	no	—
251	C₂×D₄	—	4	1	no	—
252	C₂×D₄	—	4	1	no	—
253	C₂×D₄	—	4	1	no	—
254	C₂²×C₄	—	2	1	no	—
255	C₂²×C₄	—	2	1	no	—
256	C₂²×C₄	—	2	1	no	—
257	C₂²×C₄	—	2	1	no	—
258	C₂²×C₄	—	2	1	no	—
259	C₂²×C₄	—	2	1	no	—
260	C₂²×C₄	—	2	4	no	—
261	C₂²×C₄	—	2	8	no	—
262	C₂²×C₄	—	2	4	no	—
263	C₂²×C₄	—	2	2	no	—
264	C₂²×C₄	—	2	1	no	—
265	C₂²×C₄	—	4	2	no	—
266	C₂²×C₄	—	4	4	no	—
267	C₂²×C₄	—	4	2	no	—
268	C₂²×C₄	—	4	2	no	—
269	C₂²×C₄	C₂²⋊C₄×C₄₇	1	2	yes	—
270	C₂²×C₄	C₂²⋊C₄×C₄₇	1	2	yes	—
271	C₂²×C₄	D₈×C₄₇	1	2	yes	—
272	C₂²×C₄	SD₁₆×C₄₇	1	2	yes	—
273	C₂²×C₄	C₂²×C₄×C₄₇	1	1	yes	characteristic
274	C₂²×C₄	C₂×D₄×C₄₇	1	1	yes	characteristic
275	C₂²×C₄	C₂×D₄×C₄₇	1	2	yes	—
276	C₂²×C₄	#41×C₄₇	1	2	yes	—
277	C₂×C₈	—	4	4	no	—
278	C₂×C₈	—	4	2	no	—
279	C₄⋊C₄	—	2	16	no	—
280	C₄⋊C₄	—	2	2	no	—
281	C₄⋊C₄	—	4	2	no	—
282	C₄⋊C₄	—	4	4	no	—
283	C₂²⋊C₄	—	4	1	no	—
284	C₂²⋊C₄	—	4	1	no	—
285	C₂²⋊C₄	—	4	4	no	—
286	C₂²⋊C₄	—	4	2	no	—
287	C₂²⋊C₄	—	4	4	no	—
288	C₄²	—	2	4	no	—
289	C₄²	—	2	4	no	—
290	C₄²	—	4	8	no	—
291	C₂³	—	2	2	no	—
292	C₂³	—	2	2	no	—
293	C₂³	—	4	1	no	—
294	C₂³	—	4	2	no	—
295	C₂³	—	4	1	no	—
296	C₂³	—	4	1	no	—
297	C₂³	—	4	2	no	—
298	C₂³	C₂×C₂²⋊C₄×C₄₇	1	1	yes	characteristic
299	C₂³	#120×C₄₇	1	1	yes	characteristic
300	C₂³	#123×C₄₇	1	1	yes	characteristic
301	C₂³	C₂×D₈×C₄₇	1	1	yes	characteristic
302	C₂³	C₂×SD₁₆×C₄₇	1	1	yes	characteristic
303	C₂³	AGL(1,ℤ/8)×C₄₇	1	1	yes	characteristic
304	C₂³	#137×C₄₇	1	1	yes	characteristic
305	D₄	—	8	2	no	—
306	D₄	—	8	1	no	—
307	D₄	—	8	1	no	—
308	D₄	—	8	1	no	—
309	D₄	—	8	1	no	—
310	C₂×C₄	—	2	4	no	—
311	C₂×C₄	—	2	4	no	—
312	C₂×C₄	—	2	2	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	8	no	—
323	C₂×C₄	—	4	2	no	—
324	C₂×C₄	—	4	2	no	—
325	C₂×C₄	—	4	8	no	—
326	C₂×C₄	—	4	8	no	—
327	C₂×C₄	—	4	4	no	—
328	C₂×C₄	—	4	4	no	—
329	C₂×C₄	—	4	1	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	#102×C₄₇	1	4	yes	—
336	C₂×C₄	#104×C₄₇	1	4	yes	—
337	C₂×C₄	C₄×D₄×C₄₇	1	2	yes	—
338	C₂×C₄	#121×C₄₇	1	2	yes	—
339	C₈	—	8	2	no	—
340	C₂²	—	2	2	no	—
341	C₂²	—	2	2	no	—
342	C₂²	—	2	2	no	—
343	C₂²	—	2	2	no	—
344	C₂²	—	2	1	no	—
345	C₂²	—	2	1	no	—
346	C₂²	—	2	1	no	—
347	C₂²	—	2	1	no	—
348	C₂²	—	8	2	no	—
349	C₂²	—	8	2	no	—
350	C₂²	—	8	1	no	—
351	C₂²	—	8	1	no	—
352	C₂²	—	8	1	no	—
353	C₂²	C₄₇×#386	1	1	yes	characteristic
354	C₂²	C₄₇×#410	1	2	yes	—
355	C₂²	C₂×#102×C₄₇	1	1	yes	characteristic
356	C₂²	C₄₇×#417	1	1	yes	characteristic
357	C₂²	C₂×#104×C₄₇	1	2	yes	—
358	C₂²	C₄₇×#447	1	1	yes	characteristic
359	C₂²	C₄₇×#448	1	1	yes	characteristic
360	C₂²	C₄₇×#480	1	1	yes	characteristic
361	C₂²	C₄₇×#481	1	1	yes	characteristic
362	C₄	—	2	4	no	—
363	C₄	—	2	4	no	—
364	C₄	—	2	2	no	—
365	C₄	—	2	2	no	—
366	C₄	—	4	8	no	—
367	C₄	—	8	2	no	—
368	C₄	—	8	1	no	—
369	C₂	—	2	1	no	—
370	C₂	—	2	1	no	—
371	C₂	—	2	1	no	—
372	C₂	—	2	1	no	—
373	C₂	—	16	1	no	—
374	C₂	C₄₇×#1502	1	2	yes	—
375	C₂	C₄₇×#1509	1	2	yes	—
376	C₂	C₄₇×#1874	1	1	yes	characteristic
377	C₂	C₄₇×#1896	1	1	yes	characteristic
378	C₂	C₄₇×#1899	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₄₇	C₂×C₂²⋊C₄
commutator	C₂²×C₄	C₂²×C₄×C₄₇
Frattini, cosocle	C₂³×C₄	C₂³×C₄₇
prime radical	C₂×#121×C₄₇	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₄₇ ◁ C₂²×C₄²×C₄₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₄×C₄⋊C₄×C₄₇	C₂	semidirect
3. C₄₇×#1817	C₂	semidirect
5. C₄₇×#1294	C₂	semidirect
12. C₄₇×#390	C₄	semidirect
13. C₄₇×#389	C₄	semidirect
150. #9148	C₄₇	direct (N × H)
181. C₂×C₄×C₄⋊C₄	C₂×C₄₇	semidirect
182. #1817	C₂×C₄₇	semidirect
184. #1294	C₂×C₄₇	semidirect
201. #390	C₄×C₄₇	semidirect
202. #389	C₄×C₄₇	semidirect
210. C₄₇	#9148	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄₇×#2854	2
C₂×C₄×C₄⋊C₄×C₄₇	2
C₄₇×#1817	2
C₂×C₄₇×#327	2
C₄₇×#1294	2
#9148	47

Subgroups — C47×#9148 #26048846

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#9148 #26048846