Subgroups — C₄₇×#21800 #26061498

Order 12032.

1310 conjugacy classes of subgroups.

The subgroup lattice has 376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₇×#532	C₂	1	1	yes	maximal, characteristic
2	C₄₇×#2920	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₇×#2920	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₇×#1967	C₂	1	4	yes	maximal, complemented
5	C₄₇×#1966	C₂	1	2	yes	maximal, complemented
6	C₄₇×#1965	C₂	1	2	yes	maximal, complemented
7	C₄₇×#1785	C₂	1	4	yes	maximal, complemented
8	C₂²×#41×C₄₇	C₂²	1	2	yes	—
9	C₄₇×#532	—	2	2	no	—
10	C₄₇×#532	—	2	2	no	—
11	C₄₇×#532	—	2	2	no	—
12	C₄₇×#532	—	2	2	no	—
13	C₂×C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
14	C₂×#127×C₄₇	C₂²	1	1	yes	characteristic
15	C₂×#124×C₄₇	C₂²	1	2	yes	—
16	C₂×#121×C₄₇	C₄	1	4	yes	—
17	C₂×C₄×D₄×C₄₇	C₄	1	4	yes	—
18	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
19	C₄₇×#432	—	2	2	no	—
20	C₄₇×#432	—	2	2	no	—
21	C₄₇×#431	—	2	2	no	—
22	C₄₇×#431	—	2	2	no	—
23	C₄₇×#423	C₂²	1	2	yes	—
24	C₄₇×#423	C₂²	1	2	yes	—
25	C₂×#101×C₄₇	C₂²	1	8	yes	—
26	C₂×#100×C₄₇	C₂²	1	8	yes	—
27	C₄₇×#407	C₂²	1	2	yes	—
28	C₄₇×#407	C₂²	1	2	yes	—
29	C₄×M₁₆×C₄₇	C₂²	1	2	yes	—
30	C₄×M₁₆×C₄₇	C₂²	1	2	yes	—
31	C₂×#41×C₄₇	—	2	4	no	—
32	C₂×#41×C₄₇	—	2	4	no	—
33	C₂×#41×C₄₇	—	4	8	no	—
34	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
35	C₂²×D₄×C₄₇	C₂×C₄	1	4	yes	—
36	C₂²×D₄×C₄₇	C₂×C₄	1	4	yes	—
37	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
38	C₂³×C₄×C₄₇	C₂×C₄	1	4	yes	—
39	C₂³×C₄×C₄₇	C₂×C₄	1	2	yes	—
40	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
41	C₂×M₁₆×C₄₇	C₂³	1	4	yes	—
42	C₂×M₁₆×C₄₇	C₂³	1	4	yes	—
43	C₄⋊Q₈×C₄₇	—	2	2	no	—
44	C₄⋊Q₈×C₄₇	—	2	1	no	—
45	C₄⋊Q₈×C₄₇	—	2	1	no	—
46	#127×C₄₇	—	2	2	no	—
47	#127×C₄₇	—	2	1	no	—
48	#127×C₄₇	—	2	1	no	—
49	#124×C₄₇	—	2	4	no	—
50	#124×C₄₇	—	2	2	no	—
51	#124×C₄₇	—	2	2	no	—
52	#121×C₄₇	—	2	4	no	—
53	#121×C₄₇	—	2	4	no	—
54	#121×C₄₇	—	2	4	no	—
55	#121×C₄₇	—	2	4	no	—
56	C₄×D₄×C₄₇	—	2	4	no	—
57	C₄×D₄×C₄₇	—	2	4	no	—
58	C₄×D₄×C₄₇	—	2	4	no	—
59	C₄×D₄×C₄₇	—	2	4	no	—
60	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	4	yes	—
61	C₂×C₂²⋊C₄×C₄₇	C₂×C₄	1	8	yes	—
62	C₂×C₄²×C₄₇	C₂×C₄	1	2	yes	—
63	C₂×C₄²×C₄₇	D₄	1	2	yes	—
64	C₂×C₄²×C₄₇	D₄	1	2	yes	—
65	C₂×C₄²×C₄₇	D₄	1	2	yes	—
66	C₂×C₄²×C₄₇	D₄	1	2	yes	—
67	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
68	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
69	C₄⋊C₈×C₄₇	—	2	4	no	—
70	C₄⋊C₈×C₄₇	—	2	4	no	—
71	#101×C₄₇	—	4	8	no	—
72	#100×C₄₇	—	4	8	no	—
73	C₂²⋊C₈×C₄₇	—	2	4	no	—
74	C₂²⋊C₈×C₄₇	—	2	4	no	—
75	#97×C₄₇	—	2	2	no	—
76	#97×C₄₇	—	2	2	no	—
77	C₄×C₈×C₄₇	—	2	2	no	—
78	C₄×C₈×C₄₇	—	2	2	no	—
79	C₂⁴×C₄₇	C₂²×C₄	1	4	yes	—
80	C₂⁴×C₄₇	C₂²×C₄	1	1	yes	characteristic
81	#41×C₄₇	—	4	16	no	—
82	#41×C₄₇	—	4	16	no	—
83	C₂×Q₈×C₄₇	—	2	2	no	—
84	C₂×Q₈×C₄₇	—	2	2	no	—
85	C₂×Q₈×C₄₇	—	2	8	no	—
86	C₂×D₄×C₄₇	—	2	8	no	—
87	C₂×D₄×C₄₇	—	2	4	no	—
88	C₂×D₄×C₄₇	—	2	4	no	—
89	C₂×D₄×C₄₇	—	2	2	no	—
90	C₂×D₄×C₄₇	—	2	2	no	—
91	C₂×D₄×C₄₇	—	2	8	no	—
92	C₂×D₄×C₄₇	—	4	8	no	—
93	C₂×D₄×C₄₇	—	4	8	no	—
94	C₂²×C₄×C₄₇	—	2	4	no	—
95	C₂²×C₄×C₄₇	—	2	8	no	—
96	C₂²×C₄×C₄₇	—	4	4	no	—
97	C₂²×C₄×C₄₇	—	4	8	no	—
98	C₂²×C₄×C₄₇	C₂²⋊C₄	1	2	yes	—
99	C₂²×C₄×C₄₇	C₂²⋊C₄	1	2	yes	—
100	C₂²×C₄×C₄₇	C₂²⋊C₄	1	2	yes	—
101	C₂²×C₄×C₄₇	C₂²⋊C₄	1	2	yes	—
102	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
103	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
104	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
105	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
106	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
107	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
108	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
109	M₁₆×C₄₇	—	2	4	no	—
110	M₁₆×C₄₇	—	2	8	no	—
111	M₁₆×C₄₇	—	2	4	no	—
112	C₂×C₈×C₄₇	—	2	4	no	—
113	C₂×C₈×C₄₇	—	2	4	no	—
114	C₄⋊C₄×C₄₇	—	2	4	no	—
115	C₄⋊C₄×C₄₇	—	2	4	no	—
116	C₂²⋊C₄×C₄₇	—	2	8	no	—
117	C₂²⋊C₄×C₄₇	—	2	8	no	—
118	C₄²×C₄₇	C₂²⋊C₄	1	2	yes	—
119	C₄²×C₄₇	C₂²⋊C₄	1	2	yes	—
120	C₄²×C₄₇	C₂²⋊C₄	1	2	yes	—
121	C₄²×C₄₇	C₂²⋊C₄	1	2	yes	—
122	C₄²×C₄₇	C₂×D₄	1	2	yes	—
123	C₄²×C₄₇	C₂×D₄	1	2	yes	—
124	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
126	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
127	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
128	C₂³×C₄₇	—	2	2	no	—
129	C₂³×C₄₇	—	2	4	no	—
130	C₂³×C₄₇	—	2	8	no	—
131	C₂³×C₄₇	—	4	2	no	—
132	C₂³×C₄₇	—	4	8	no	—
133	C₂³×C₄₇	C₂×C₂²⋊C₄	1	2	yes	—
134	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
135	Q₈×C₄₇	—	4	4	no	—
136	Q₈×C₄₇	—	4	4	no	—
137	D₄×C₄₇	—	4	8	no	—
138	D₄×C₄₇	—	4	16	no	—
139	D₄×C₄₇	—	4	4	no	—
140	D₄×C₄₇	—	4	4	no	—
141	D₄×C₄₇	—	4	8	no	—
142	C₂×C₄×C₄₇	—	2	2	no	—
143	C₂×C₄×C₄₇	—	2	4	no	—
144	C₂×C₄×C₄₇	—	2	4	no	—
145	C₂×C₄×C₄₇	—	2	4	no	—
146	C₂×C₄×C₄₇	—	2	4	no	—
147	C₂×C₄×C₄₇	—	2	4	no	—
148	C₂×C₄×C₄₇	—	2	4	no	—
149	C₂×C₄×C₄₇	—	2	8	no	—
150	C₂×C₄×C₄₇	—	4	2	no	—
151	C₂×C₄×C₄₇	—	4	2	no	—
152	C₂×C₄×C₄₇	—	4	2	no	—
153	C₂×C₄×C₄₇	—	4	16	no	—
154	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	2	yes	—
155	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	2	yes	—
156	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	2	yes	—
157	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	2	yes	—
158	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	2	yes	—
159	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
160	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
161	C₂×C₄×C₄₇	H(5,𝔽₂)	1	4	yes	—
162	C₈×C₄₇	—	4	4	no	—
163	C₈×C₄₇	—	4	4	no	—
164	#21800	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
165	C₂²×C₄₇	—	2	2	no	—
166	C₂²×C₄₇	—	2	2	no	—
167	C₂²×C₄₇	—	2	2	no	—
168	C₂²×C₄₇	—	2	2	no	—
169	C₂²×C₄₇	—	4	4	no	—
170	C₂²×C₄₇	—	4	4	no	—
171	C₂²×C₄₇	—	4	8	no	—
172	C₂²×C₄₇	—	8	8	no	—
173	C₂²×C₄₇	C₂²×C₂²⋊C₄	1	1	yes	characteristic
174	C₂²×C₄₇	#518	1	2	yes	—
175	C₄×C₄₇	—	2	2	no	—
176	C₄×C₄₇	—	2	2	no	—
177	C₄×C₄₇	—	2	2	no	—
178	C₄×C₄₇	—	2	2	no	—
179	C₄×C₄₇	—	4	4	no	—
180	C₄×C₄₇	#413	1	4	yes	—
181	C₄×C₄₇	#535	1	2	yes	—
182	C₄×C₄₇	#535	1	2	yes	—
183	C₂×#532	C₂×C₄₇	1	1	yes	characteristic
184	#2920	C₂×C₄₇	1	1	yes	characteristic, complemented
185	#2920	C₂×C₄₇	1	1	yes	characteristic, complemented
186	#1967	C₂×C₄₇	1	4	yes	complemented
187	#1966	C₂×C₄₇	1	2	yes	complemented
188	#1965	C₂×C₄₇	1	2	yes	complemented
189	#1785	C₂×C₄₇	1	4	yes	complemented
190	C₂×C₄₇	—	2	2	no	—
191	C₂×C₄₇	—	4	2	no	—
192	C₂×C₄₇	—	8	4	no	—
193	C₂×C₄₇	#2309	1	1	yes	characteristic
194	C₂×C₄₇	C₂×#413	1	2	yes	—
195	C₂²×#41	C₂²×C₄₇	1	2	yes	—
196	#532	—	2	2	no	—
197	#532	—	2	2	no	—
198	#532	—	2	2	no	—
199	#532	—	2	2	no	—
200	C₂×C₄⋊Q₈	C₂²×C₄₇	1	1	yes	characteristic
201	C₂×#127	C₂²×C₄₇	1	1	yes	characteristic
202	C₂×#124	C₂²×C₄₇	1	2	yes	—
203	C₂×#121	C₄×C₄₇	1	4	yes	—
204	C₂×C₄×D₄	C₄×C₄₇	1	4	yes	—
205	C₂²×C₄²	C₂²×C₄₇	1	1	yes	characteristic
206	#432	—	2	2	no	—
207	#432	—	2	2	no	—
208	#431	—	2	2	no	—
209	#431	—	2	2	no	—
210	#423	C₂²×C₄₇	1	2	yes	—
211	#423	C₂²×C₄₇	1	2	yes	—
212	C₂×#101	C₂²×C₄₇	1	8	yes	—
213	C₂×#100	C₂²×C₄₇	1	8	yes	—
214	#407	C₂²×C₄₇	1	2	yes	—
215	#407	C₂²×C₄₇	1	2	yes	—
216	C₄×M₁₆	C₂²×C₄₇	1	2	yes	—
217	C₄×M₁₆	C₂²×C₄₇	1	2	yes	—
218	C₄₇	#21800	1	1	yes	characteristic, direct product factor, Sylow
219	C₂×#41	—	2	4	no	—
220	C₂×#41	—	2	4	no	—
221	C₂×#41	—	4	8	no	—
222	C₂²×Q₈	C₂³×C₄₇	1	2	yes	—
223	C₂²×D₄	C₂×C₄×C₄₇	1	4	yes	—
224	C₂²×D₄	C₂×C₄×C₄₇	1	4	yes	—
225	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
226	C₂³×C₄	C₂×C₄×C₄₇	1	4	yes	—
227	C₂³×C₄	C₂×C₄×C₄₇	1	2	yes	—
228	C₂³×C₄	C₂³×C₄₇	1	1	yes	characteristic
229	C₂×M₁₆	C₂³×C₄₇	1	4	yes	—
230	C₂×M₁₆	C₂³×C₄₇	1	4	yes	—
231	C₄⋊Q₈	—	2	1	no	—
232	C₄⋊Q₈	—	2	1	no	—
233	C₄⋊Q₈	—	2	2	no	—
234	#127	—	2	1	no	—
235	#127	—	2	1	no	—
236	#127	—	2	2	no	—
237	#124	—	2	2	no	—
238	#124	—	2	2	no	—
239	#124	—	2	4	no	—
240	#121	—	2	4	no	—
241	#121	—	2	4	no	—
242	#121	—	2	4	no	—
243	#121	—	2	4	no	—
244	C₄×D₄	—	2	4	no	—
245	C₄×D₄	—	2	4	no	—
246	C₄×D₄	—	2	4	no	—
247	C₄×D₄	—	2	4	no	—
248	C₂×C₄⋊C₄	C₂×C₄×C₄₇	1	4	yes	—
249	C₂×C₂²⋊C₄	C₂×C₄×C₄₇	1	8	yes	—
250	C₂×C₄²	C₂×C₄×C₄₇	1	2	yes	—
251	C₂×C₄²	D₄×C₄₇	1	2	yes	—
252	C₂×C₄²	D₄×C₄₇	1	2	yes	—
253	C₂×C₄²	D₄×C₄₇	1	2	yes	—
254	C₂×C₄²	D₄×C₄₇	1	2	yes	—
255	C₂×C₄²	C₂³×C₄₇	1	1	yes	characteristic
256	C₂×C₄²	C₂³×C₄₇	1	1	yes	characteristic
257	C₄⋊C₈	—	2	4	no	—
258	C₄⋊C₈	—	2	4	no	—
259	#101	—	4	8	no	—
260	#100	—	4	8	no	—
261	C₂²⋊C₈	—	2	4	no	—
262	C₂²⋊C₈	—	2	4	no	—
263	#97	—	2	2	no	—
264	#97	—	2	2	no	—
265	C₄×C₈	—	2	2	no	—
266	C₄×C₈	—	2	2	no	—
267	C₂⁴	C₂²×C₄×C₄₇	1	4	yes	—
268	C₂⁴	C₂²×C₄×C₄₇	1	1	yes	characteristic
269	#41	—	4	16	no	—
270	#41	—	4	16	no	—
271	C₂×Q₈	—	2	2	no	—
272	C₂×Q₈	—	2	2	no	—
273	C₂×Q₈	—	2	8	no	—
274	C₂×D₄	—	2	8	no	—
275	C₂×D₄	—	2	4	no	—
276	C₂×D₄	—	2	4	no	—
277	C₂×D₄	—	2	2	no	—
278	C₂×D₄	—	2	2	no	—
279	C₂×D₄	—	2	8	no	—
280	C₂×D₄	—	4	8	no	—
281	C₂×D₄	—	4	8	no	—
282	C₂²×C₄	—	2	4	no	—
283	C₂²×C₄	—	2	8	no	—
284	C₂²×C₄	—	4	4	no	—
285	C₂²×C₄	—	4	8	no	—
286	C₂²×C₄	C₂²⋊C₄×C₄₇	1	2	yes	—
287	C₂²×C₄	C₂²⋊C₄×C₄₇	1	2	yes	—
288	C₂²×C₄	C₂²⋊C₄×C₄₇	1	2	yes	—
289	C₂²×C₄	C₂²⋊C₄×C₄₇	1	2	yes	—
290	C₂²×C₄	C₂²×C₄×C₄₇	1	4	yes	—
291	C₂²×C₄	C₂²×C₄×C₄₇	1	1	yes	characteristic
292	C₂²×C₄	C₂²×C₄×C₄₇	1	2	yes	—
293	C₂²×C₄	C₂²×C₄×C₄₇	1	2	yes	—
294	C₂²×C₄	C₂×D₄×C₄₇	1	2	yes	—
295	C₂²×C₄	C₂×D₄×C₄₇	1	2	yes	—
296	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
297	M₁₆	—	2	4	no	—
298	M₁₆	—	2	8	no	—
299	M₁₆	—	2	4	no	—
300	C₂×C₈	—	2	4	no	—
301	C₂×C₈	—	2	4	no	—
302	C₄⋊C₄	—	2	4	no	—
303	C₄⋊C₄	—	2	4	no	—
304	C₂²⋊C₄	—	2	8	no	—
305	C₂²⋊C₄	—	2	8	no	—
306	C₄²	C₂²⋊C₄×C₄₇	1	2	yes	—
307	C₄²	C₂²⋊C₄×C₄₇	1	2	yes	—
308	C₄²	C₂²⋊C₄×C₄₇	1	2	yes	—
309	C₄²	C₂²⋊C₄×C₄₇	1	2	yes	—
310	C₄²	C₂×D₄×C₄₇	1	1	yes	characteristic
311	C₄²	C₂×D₄×C₄₇	1	1	yes	characteristic
312	C₄²	C₂×D₄×C₄₇	1	1	yes	characteristic
313	C₄²	C₂×D₄×C₄₇	1	1	yes	characteristic
314	C₄²	C₂×D₄×C₄₇	1	2	yes	—
315	C₄²	C₂×D₄×C₄₇	1	2	yes	—
316	C₂³	—	2	2	no	—
317	C₂³	—	2	4	no	—
318	C₂³	—	2	8	no	—
319	C₂³	—	4	2	no	—
320	C₂³	—	4	8	no	—
321	C₂³	C₂×C₂²⋊C₄×C₄₇	1	2	yes	—
322	C₂³	C₂³×C₄×C₄₇	1	1	yes	characteristic
323	Q₈	—	4	4	no	—
324	Q₈	—	4	4	no	—
325	D₄	—	4	8	no	—
326	D₄	—	4	16	no	—
327	D₄	—	4	4	no	—
328	D₄	—	4	4	no	—
329	D₄	—	4	8	no	—
330	C₂×C₄	—	2	2	no	—
331	C₂×C₄	—	2	4	no	—
332	C₂×C₄	—	2	4	no	—
333	C₂×C₄	—	2	4	no	—
334	C₂×C₄	—	2	4	no	—
335	C₂×C₄	—	2	4	no	—
336	C₂×C₄	—	2	4	no	—
337	C₂×C₄	—	2	8	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	16	no	—
342	C₂×C₄	C₂×C₂²⋊C₄×C₄₇	1	2	yes	—
343	C₂×C₄	C₂×C₂²⋊C₄×C₄₇	1	2	yes	—
344	C₂×C₄	C₂×C₂²⋊C₄×C₄₇	1	2	yes	—
345	C₂×C₄	C₂×C₂²⋊C₄×C₄₇	1	2	yes	—
346	C₂×C₄	C₂×C₂²⋊C₄×C₄₇	1	2	yes	—
347	C₂×C₄	C₂²×D₄×C₄₇	1	1	yes	characteristic
348	C₂×C₄	C₂²×D₄×C₄₇	1	1	yes	characteristic
349	C₂×C₄	H(5,𝔽₂)×C₄₇	1	4	yes	—
350	C₈	—	4	4	no	—
351	C₈	—	4	4	no	—
352	C₂²	—	2	2	no	—
353	C₂²	—	2	2	no	—
354	C₂²	—	2	2	no	—
355	C₂²	—	2	2	no	—
356	C₂²	—	4	4	no	—
357	C₂²	—	4	4	no	—
358	C₂²	—	4	8	no	—
359	C₂²	—	8	8	no	—
360	C₂²	C₂²×C₂²⋊C₄×C₄₇	1	1	yes	characteristic
361	C₂²	C₄₇×#518	1	2	yes	—
362	C₄	—	2	2	no	—
363	C₄	—	2	2	no	—
364	C₄	—	2	2	no	—
365	C₄	—	2	2	no	—
366	C₄	—	4	4	no	—
367	C₄	C₄₇×#413	1	4	yes	—
368	C₄	C₄₇×#535	1	2	yes	—
369	C₄	C₄₇×#535	1	2	yes	—
370	C₂	—	2	2	no	—
371	C₂	—	4	2	no	—
372	C₂	—	8	4	no	—
373	C₂	C₄₇×#2309	1	1	yes	characteristic
374	C₂	C₂×C₄₇×#413	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₄₇	C₂²×C₂²⋊C₄
commutator	C₂³	C₂³×C₄×C₄₇
Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₇
prime radical	C₂×C₄₇×#532	C₂
LCS	G ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄₇ ◁ C₂²×C₄²×C₄₇ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₄₇×#2920	C₂	semidirect
3. C₄₇×#2920	C₂	semidirect
4. C₄₇×#1967	C₂	semidirect
5. C₄₇×#1966	C₂	semidirect
6. C₄₇×#1965	C₂	semidirect
7. C₄₇×#1785	C₂	semidirect
164. #21800	C₄₇	direct (N × H)
184. #2920	C₂×C₄₇	semidirect
185. #2920	C₂×C₄₇	semidirect
186. #1967	C₂×C₄₇	semidirect
187. #1966	C₂×C₄₇	semidirect
188. #1965	C₂×C₄₇	semidirect
189. #1785	C₂×C₄₇	semidirect
218. C₄₇	#21800	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×C₄₇×#532	2
C₄₇×#2920	2
C₄₇×#1967	2
C₄₇×#1966	2
C₄₇×#1965	2
C₄₇×#1785	2
#21800	47

Subgroups — C47×#21800 #26061498

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#21800 #26061498