Subgroups — #26369865

Order 12032.

618 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₈×C₂²⋊D₄₇	C₂	1	1	yes	maximal, characteristic
2	#20245216	C₂	1	4	yes	maximal, complemented
3	#20245211	C₂	1	4	yes	maximal, complemented
4	#20245188	C₂	1	2	yes	maximal, complemented
5	#20244999	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²⋊C₁₆×D₄₇	C₂	1	2	yes	maximal, complemented
7	C₄₇×#2112	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×C₈×D₄₇	C₂²	1	1	yes	characteristic
9	C₂×C₄×C₂²⋊D₄₇	C₄	1	1	yes	characteristic
10	C₂×#13093964	C₂²	1	2	yes	complemented
11	C₂×C₁₆×D₄₇	C₂²	1	4	yes	complemented
12	C₈×C₂²⋊D₄₇	C₄	1	2	yes	—
13	C₈×C₂²⋊D₄₇	C₄	1	2	yes	—
14	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	—
15	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	—
16	C₂×Dic₄₇⋊C₈	C₄	1	1	yes	characteristic
17	C₂×C₂²⋊(C₄₇⋊C₈)	C₄	1	1	yes	characteristic
18	C₂×(C₂×D₄₇)⋊C₈	C₄	1	1	yes	characteristic
19	C₂×C₈×Dic₄₇	C₂²	1	1	yes	characteristic
20	Dic₄₇⋊C₁₆	C₂²	1	4	yes	complemented
21	C₂²⋊(C₄₇⋊C₁₆)	C₂²	1	2	yes	—
22	C₂²⋊(C₄₇⋊C₁₆)	C₂²	1	2	yes	complemented
23	(C₂×D₄₇)⋊C₁₆	C₂²	1	4	yes	complemented
24	#15688898	C₂²	1	4	yes	complemented
25	C₂³×C₈×C₄₇	C₂²	1	1	yes	characteristic
26	C₂×M₃₂×C₄₇	C₂²	1	2	yes	complemented
27	C₄₇×C₂²⋊C₁₆	C₂²	1	2	yes	—
28	C₄₇×C₂²⋊C₁₆	C₂²	1	2	yes	complemented
29	C₂²×C₂²⋊D₄₇	C₈	1	1	yes	characteristic
30	C₂²×C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
31	C₂²×C₄₇⋊C₈	C₂×C₄	1	1	yes	characteristic
32	C₂²×C₄₇⋊C₈	C₂×C₄	1	1	yes	characteristic
33	C₂×C₈×D₄₇	—	4	2	no	—
34	C₂×C₈×D₄₇	C₂×C₄	1	2	yes	—
35	C₂×C₈×D₄₇	C₂³	1	2	yes	—
36	C₄×C₂²⋊D₄₇	C₈	1	2	yes	—
37	C₄×C₂²⋊D₄₇	C₈	1	2	yes	—
38	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
39	C₄×C₂²⋊D₄₇	C₂×C₄	1	2	yes	—
40	C₂×Dic₄₇⋊C₄	C₈	1	1	yes	characteristic
41	C₂×C₂²⋊Dic₄₇	C₈	1	1	yes	characteristic
42	C₂×(C₂×D₄₇)⋊C₄	C₈	1	1	yes	characteristic
43	C₂×C₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
44	#13093964	—	4	2	no	—
45	C₂×C₄₇⋊C₁₆	C₂³	1	4	yes	—
46	C₁₆×D₄₇	—	4	4	no	—
47	Dic₄₇⋊C₈	C₂×C₄	1	2	yes	—
48	Dic₄₇⋊C₈	C₂×C₄	1	2	yes	—
49	C₂²⋊(C₄₇⋊C₈)	C₂×C₄	1	2	yes	—
50	C₂²⋊(C₄₇⋊C₈)	C₂×C₄	1	2	yes	—
51	(C₂×D₄₇)⋊C₈	C₂×C₄	1	2	yes	—
52	(C₂×D₄₇)⋊C₈	C₂×C₄	1	2	yes	—
53	C₈×Dic₄₇	C₂×C₄	1	2	yes	—
54	C₈×Dic₄₇	C₂³	1	2	yes	—
55	C₂³×C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
56	C₂²×C₈×C₄₇	—	4	2	no	—
57	C₂²×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
58	C₂²×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
59	C₂²×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
60	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
61	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
62	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
63	M₃₂×C₄₇	—	4	2	no	—
64	C₂×C₁₆×C₄₇	C₂³	1	4	yes	—
65	C₂⁴×C₄₇	C₂×C₈	1	1	yes	characteristic
66	C₂³×D₄₇	C₂×C₈	1	1	yes	characteristic
67	C₂²×C₄×C₄₇	—	4	1	no	—
68	C₂²×C₄×C₄₇	—	4	1	no	—
69	C₂²×C₄×C₄₇	C₂×C₈	1	1	yes	characteristic
70	C₂²×C₄×C₄₇	C₂×C₈	1	1	yes	characteristic
71	C₂²×C₄×C₄₇	C₂×C₈	1	1	yes	characteristic
72	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
73	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
74	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
75	C₂×C₂²⋊D₄₇	—	2	4	no	—
76	C₂×C₂²⋊D₄₇	C₂×C₈	1	2	yes	—
77	C₂×C₂²⋊D₄₇	C₂×C₈	1	2	yes	—
78	C₂²×Dic₄₇	C₂×C₈	1	1	yes	characteristic
79	C₂²×Dic₄₇	C₂×C₈	1	1	yes	characteristic
80	C₂²×Dic₄₇	C₂×C₈	1	1	yes	characteristic
81	C₂×C₄×D₄₇	—	4	1	no	—
82	C₂×C₄×D₄₇	—	4	1	no	—
83	C₂×C₄×D₄₇	C₂×C₈	1	2	yes	—
84	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
85	C₂×C₈×C₄₇	—	2	2	no	—
86	C₂×C₈×C₄₇	—	2	2	no	—
87	C₂×C₈×C₄₇	—	2	2	no	—
88	C₂×C₈×C₄₇	—	4	1	no	—
89	C₂×C₈×C₄₇	—	4	1	no	—
90	C₂×C₈×C₄₇	—	4	1	no	—
91	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
92	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
93	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
94	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
95	C₂²⋊Dic₄₇	C₂×C₈	1	2	yes	—
96	C₂²⋊Dic₄₇	C₂×C₈	1	2	yes	—
97	(C₂×D₄₇)⋊C₄	C₂×C₈	1	2	yes	—
98	(C₂×D₄₇)⋊C₄	C₂×C₈	1	2	yes	—
99	Dic₄₇⋊C₄	C₂×C₈	1	2	yes	—
100	Dic₄₇⋊C₄	C₂×C₈	1	2	yes	—
101	C₄×Dic₄₇	C₂×C₈	1	2	yes	—
102	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
103	C₂×C₄₇⋊C₈	—	4	1	no	—
104	C₂×C₄₇⋊C₈	—	4	1	no	—
105	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
106	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
107	C₈×D₄₇	—	2	4	no	—
108	C₈×D₄₇	—	4	2	no	—
109	C₁₆×C₄₇	—	2	4	no	—
110	C₄₇⋊C₁₆	—	2	4	no	—
111	C₂³×C₄₇	—	2	2	no	—
112	C₂³×C₄₇	—	4	1	no	—
113	C₂³×C₄₇	—	4	1	no	—
114	C₂³×C₄₇	C₂²×C₈	1	1	yes	characteristic
115	C₂³×C₄₇	C₂²×C₈	1	1	yes	characteristic
116	C₂³×C₄₇	C₂²×C₈	1	1	yes	characteristic
117	C₂²×D₄₇	—	4	1	no	—
118	C₂²×D₄₇	—	4	1	no	—
119	C₂²×D₄₇	M₃₂	1	4	yes	complemented
120	C₂²×D₄₇	C₂²×C₈	1	2	yes	—
121	C₂×C₄×C₄₇	—	2	1	no	—
122	C₂×C₄×C₄₇	—	2	1	no	—
123	C₂×C₄×C₄₇	—	2	1	no	—
124	C₂×C₄×C₄₇	—	2	1	no	—
125	C₂×C₄×C₄₇	—	2	1	no	—
126	C₂×C₄×C₄₇	—	2	1	no	—
127	C₂×C₄×C₄₇	—	4	1	no	—
128	C₂×C₄×C₄₇	—	4	1	no	—
129	C₂×C₄×C₄₇	—	4	1	no	—
130	C₂×C₄×C₄₇	C₂²×C₈	1	1	yes	characteristic
131	C₂×C₄×C₄₇	C₂²×C₈	1	1	yes	characteristic
132	C₂×C₄×C₄₇	C₂²×C₈	1	1	yes	characteristic
133	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
134	C₂²⋊D₄₇	—	2	4	no	—
135	C₂²⋊D₄₇	—	2	4	no	—
136	C₂×Dic₄₇	—	2	2	no	—
137	C₂×Dic₄₇	—	4	1	no	—
138	C₂×Dic₄₇	—	4	1	no	—
139	C₂×Dic₄₇	C₂²×C₈	1	2	yes	—
140	C₂×Dic₄₇	C₂²×C₈	1	2	yes	—
141	C₂×Dic₄₇	C₂²×C₈	1	2	yes	—
142	C₄×D₄₇	—	2	2	no	—
143	C₄×D₄₇	—	2	2	no	—
144	C₄×D₄₇	—	4	2	no	—
145	C₈×C₄₇	—	2	1	no	—
146	C₈×C₄₇	—	2	1	no	—
147	C₈×C₄₇	—	2	1	no	—
148	C₈×C₄₇	H(5,𝔽₂)	1	2	yes	—
149	C₄₇⋊C₈	—	2	2	no	—
150	C₄₇⋊C₈	—	2	2	no	—
151	#33487	—	47	1	no	maximal, Sylow
152	C₂²×C₄₇	—	2	1	no	—
153	C₂²×C₄₇	—	2	1	no	—
154	C₂²×C₄₇	—	2	1	no	—
155	C₂²×C₄₇	—	2	1	no	—
156	C₂²×C₄₇	—	2	1	no	—
157	C₂²×C₄₇	—	2	1	no	—
158	C₂²×C₄₇	—	2	1	no	—
159	C₂²×C₄₇	—	2	1	no	—
160	C₂²×C₄₇	—	4	4	no	—
161	C₂²×C₄₇	C₂×M₃₂	1	2	yes	—
162	C₂²×C₄₇	C₂³×C₈	1	1	yes	characteristic
163	C₂×D₄₇	—	2	2	no	—
164	C₂×D₄₇	—	2	2	no	—
165	C₂×D₄₇	—	4	4	no	—
166	C₂×D₄₇	C₂×M₃₂	1	4	yes	—
167	C₄×C₄₇	—	2	1	no	—
168	C₄×C₄₇	—	2	1	no	—
169	C₄×C₄₇	—	2	1	no	—
170	C₄×C₄₇	#518	1	1	yes	characteristic
171	C₄×C₄₇	#568	1	1	yes	characteristic
172	Dic₄₇	—	2	2	no	—
173	Dic₄₇	—	2	2	no	—
174	Dic₄₇	—	2	2	no	—
175	C₂×C₈×D₄	—	47	1	no	—
176	#2168	—	47	4	no	—
177	#2168	—	47	4	no	—
178	#2163	—	47	2	no	—
179	#2112	—	47	1	no	—
180	#2112	D₄₇	1	1	yes	characteristic, complemented
181	C₂×C₂²⋊C₁₆	—	47	2	no	—
182	C₂×C₄₇	—	2	2	no	—
183	C₂×C₄₇	—	4	1	no	—
184	C₂×C₄₇	—	4	1	no	—
185	C₂×C₄₇	#2972	1	1	yes	characteristic
186	C₂×C₄₇	C₂²×M₃₂	1	1	yes	characteristic
187	C₂×C₄₇	#3407	1	1	yes	characteristic
188	D₄₇	—	2	4	no	—
189	C₂³×C₈	—	47	1	no	—
190	C₂³×C₈	C₂×D₄₇	1	1	yes	characteristic
191	C₂×C₄×D₄	—	47	1	no	—
192	C₂×M₃₂	—	47	2	no	—
193	C₂×M₃₂	C₂×D₄₇	1	2	yes	complemented
194	C₂²×C₁₆	—	47	4	no	—
195	C₈×D₄	—	47	2	no	—
196	C₈×D₄	—	47	2	no	—
197	C₈×D₄	—	47	2	no	—
198	C₈×D₄	—	47	2	no	—
199	C₂×C₄⋊C₈	—	47	1	no	—
200	C₂×C₂²⋊C₈	—	47	1	no	—
201	C₂×C₂²⋊C₈	—	47	1	no	—
202	C₂×C₄×C₈	—	47	1	no	—
203	C₄⋊C₁₆	—	47	4	no	—
204	C₂²⋊C₁₆	—	47	2	no	—
205	C₂²⋊C₁₆	—	47	2	no	—
206	C₂²⋊C₁₆	—	47	4	no	—
207	C₂²⋊C₁₆	C₂×D₄₇	1	2	yes	—
208	C₂²⋊C₁₆	C₂×D₄₇	1	2	yes	complemented
209	#346	—	47	4	no	—
210	C₄₇	#33487	1	1	yes	characteristic, complemented, Sylow
211	C₂²×D₄	—	47	1	no	—
212	C₂³×C₄	—	47	1	no	—
213	C₂³×C₄	C₄×D₄₇	1	1	yes	characteristic
214	C₂²×C₈	—	4	2	no	—
215	C₂²×C₈	—	47	1	no	—
216	C₂²×C₈	—	47	1	no	—
217	C₂²×C₈	—	47	2	no	—
218	C₂²×C₈	—	47	2	no	—
219	C₂²×C₈	—	188	2	no	—
220	C₂²×C₈	C₄×D₄₇	1	1	yes	characteristic
221	C₂²×C₈	C₄×D₄₇	1	1	yes	characteristic
222	C₂²×C₈	C₄×D₄₇	1	1	yes	characteristic
223	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
224	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
225	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
226	C₄×D₄	—	47	2	no	—
227	C₄×D₄	—	47	2	no	—
228	C₄×D₄	—	47	2	no	—
229	C₄×D₄	—	47	2	no	—
230	C₂×C₄⋊C₄	—	47	1	no	—
231	C₂×C₂²⋊C₄	—	47	1	no	—
232	C₂×C₂²⋊C₄	—	47	1	no	—
233	C₂×C₄²	—	47	1	no	—
234	M₃₂	—	4	2	no	—
235	M₃₂	—	188	2	no	—
236	C₂×C₁₆	—	47	4	no	—
237	C₂×C₁₆	—	188	4	no	—
238	C₂×C₁₆	C₂²×D₄₇	1	4	yes	—
239	C₄⋊C₈	—	47	2	no	—
240	C₄⋊C₈	—	47	2	no	—
241	C₂²⋊C₈	—	47	2	no	—
242	C₂²⋊C₈	—	47	2	no	—
243	C₂²⋊C₈	—	47	2	no	—
244	C₂²⋊C₈	—	47	2	no	—
245	C₄×C₈	—	47	2	no	—
246	C₄×C₈	—	47	2	no	—
247	C₂⁴	—	47	1	no	—
248	C₂⁴	C₈×D₄₇	1	1	yes	characteristic
249	C₂×D₄	—	47	2	no	—
250	C₂×D₄	—	47	2	no	—
251	C₂×D₄	—	94	4	no	—
252	C₂²×C₄	—	4	1	no	—
253	C₂²×C₄	—	4	1	no	—
254	C₂²×C₄	—	47	1	no	—
255	C₂²×C₄	—	47	1	no	—
256	C₂²×C₄	—	47	1	no	—
257	C₂²×C₄	—	47	2	no	—
258	C₂²×C₄	—	47	2	no	—
259	C₂²×C₄	—	188	1	no	—
260	C₂²×C₄	—	188	1	no	—
261	C₂²×C₄	C₈×D₄₇	1	1	yes	characteristic
262	C₂²×C₄	C₈×D₄₇	1	1	yes	characteristic
263	C₂²×C₄	C₈×D₄₇	1	1	yes	characteristic
264	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
265	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
266	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
267	C₂×C₈	—	2	2	no	—
268	C₂×C₈	—	2	2	no	—
269	C₂×C₈	—	2	2	no	—
270	C₂×C₈	—	4	1	no	—
271	C₂×C₈	—	4	1	no	—
272	C₂×C₈	—	4	1	no	—
273	C₂×C₈	—	47	2	no	—
274	C₂×C₈	—	47	2	no	—
275	C₂×C₈	—	94	4	no	—
276	C₂×C₈	—	188	2	no	—
277	C₂×C₈	—	188	1	no	—
278	C₂×C₈	—	188	1	no	—
279	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
280	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
281	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
282	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
283	C₄⋊C₄	—	47	2	no	—
284	C₄⋊C₄	—	47	2	no	—
285	C₂²⋊C₄	—	47	2	no	—
286	C₂²⋊C₄	—	47	2	no	—
287	C₂²⋊C₄	—	47	2	no	—
288	C₂²⋊C₄	—	47	2	no	—
289	C₄²	—	47	2	no	—
290	C₄²	—	47	2	no	—
291	C₁₆	—	2	4	no	—
292	C₁₆	—	94	4	no	—
293	C₂³	—	2	2	no	—
294	C₂³	—	4	1	no	—
295	C₂³	—	4	1	no	—
296	C₂³	—	47	2	no	—
297	C₂³	—	47	4	no	—
298	C₂³	—	188	1	no	—
299	C₂³	—	188	1	no	—
300	C₂³	C₂×C₈×D₄₇	1	1	yes	characteristic
301	C₂³	C₂×C₈×D₄₇	1	1	yes	characteristic
302	C₂³	C₂×C₈×D₄₇	1	1	yes	characteristic
303	D₄	—	94	4	no	—
304	D₄	—	94	4	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	4	1	no	—
312	C₂×C₄	—	4	1	no	—
313	C₂×C₄	—	4	1	no	—
314	C₂×C₄	—	47	2	no	—
315	C₂×C₄	—	47	2	no	—
316	C₂×C₄	—	47	2	no	—
317	C₂×C₄	—	94	2	no	—
318	C₂×C₄	—	94	2	no	—
319	C₂×C₄	—	94	2	no	—
320	C₂×C₄	—	188	2	no	—
321	C₂×C₄	—	188	1	no	—
322	C₂×C₄	—	188	1	no	—
323	C₂×C₄	C₂×C₈×D₄₇	1	1	yes	characteristic
324	C₂×C₄	C₂×C₈×D₄₇	1	1	yes	characteristic
325	C₂×C₄	C₂×C₈×D₄₇	1	1	yes	characteristic
326	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
327	C₈	—	2	1	no	—
328	C₈	—	2	1	no	—
329	C₈	—	2	1	no	—
330	C₈	—	94	2	no	—
331	C₈	—	94	2	no	—
332	C₈	#13094069	1	2	yes	—
333	C₂²	—	2	1	no	—
334	C₂²	—	2	1	no	—
335	C₂²	—	2	1	no	—
336	C₂²	—	2	1	no	—
337	C₂²	—	2	1	no	—
338	C₂²	—	2	1	no	—
339	C₂²	—	2	1	no	—
340	C₂²	—	2	1	no	—
341	C₂²	—	4	4	no	—
342	C₂²	—	47	4	no	—
343	C₂²	—	94	2	no	—
344	C₂²	—	94	2	no	—
345	C₂²	—	188	4	no	—
346	C₂²	M₃₂×D₄₇	1	2	yes	—
347	C₂²	C₂²×C₈×D₄₇	1	1	yes	characteristic
348	C₄	—	2	1	no	—
349	C₄	—	2	1	no	—
350	C₄	—	2	1	no	—
351	C₄	—	94	2	no	—
352	C₄	—	94	2	no	—
353	C₄	—	94	2	no	—
354	C₄	#15689596	1	1	yes	characteristic
355	C₄	#15689889	1	1	yes	characteristic
356	C₂	—	2	2	no	—
357	C₂	—	4	1	no	—
358	C₂	—	4	1	no	—
359	C₂	—	94	4	no	—
360	C₂	#20252410	1	1	yes	characteristic
361	C₂	C₂×M₃₂×D₄₇	1	1	yes	characteristic
362	C₂	#20256490	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₈	C₂³×D₄₇
commutator, socle	C₂²×C₄₇	C₂³×C₈
Fitting	C₄₇×#2112	C₂
prime radical	C₂²×C₂²⋊D₄₇	C₈
cosocle	C₂×C₈×C₄₇	C₂⁴
hypercenter	#2112	D₄₇
hypocenter	C₄₇	#33487
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₈ ◁ #2112

Complements

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

N	H ≅ G/N	type
2. #20245216	C₂	semidirect
3. #20245211	C₂	semidirect
4. #20245188	C₂	semidirect
5. #20244999	C₂	semidirect
6. C₂²⋊C₁₆×D₄₇	C₂	semidirect
7. C₄₇×#2112	C₂	semidirect
10. C₂×#13093964	C₂²	semidirect
11. C₂×C₁₆×D₄₇	C₂²	semidirect
20. Dic₄₇⋊C₁₆	C₂²	semidirect
22. C₂²⋊(C₄₇⋊C₁₆)	C₂²	semidirect
23. (C₂×D₄₇)⋊C₁₆	C₂²	semidirect
24. #15688898	C₂²	semidirect
26. C₂×M₃₂×C₄₇	C₂²	semidirect
28. C₄₇×C₂²⋊C₁₆	C₂²	semidirect
119. C₂²×D₄₇	M₃₂	semidirect
180. #2112	D₄₇	semidirect
193. C₂×M₃₂	C₂×D₄₇	semidirect
208. C₂²⋊C₁₆	C₂×D₄₇	semidirect
210. C₄₇	#33487	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₈×C₂²⋊D₄₇	2
#20245216	2
#20245211	2
#20245188	2
#20244999	2
C₂²⋊C₁₆×D₄₇	2
C₄₇×#2112	2
#33487	47