Subgroups — #26215886

Order 12032.

1438 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	C₂×#15689165	C₂	1	2	yes	maximal, complemented
2	#20245980	C₂	1	2	yes	maximal
3	#20243421	C₂	1	4	yes	maximal, complemented
4	#20243417	C₂	1	2	yes	maximal, complemented
5	#20243413	C₂	1	2	yes	maximal, complemented
6	#20243105	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#15688886	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#131×C₄₇	C₂	1	1	yes	maximal, characteristic
9	C₂×#13093983	C₂²	1	2	yes	—
10	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	—
11	#15689165	—	2	8	no	—
12	C₂×#13093958	C₂²	1	4	yes	—
13	C₂×#13093956	C₂²	1	4	yes	—
14	#15689030	—	2	2	no	—
15	#15689026	—	2	2	no	—
16	#15689003	—	2	4	no	—
17	#15688983	C₂²	1	4	yes	—
18	#15688983	C₂²	1	4	yes	—
19	#15688886	C₂²	1	2	yes	—
20	#15688886	C₂²	1	2	yes	—
21	#15688886	C₂²	1	1	yes	characteristic
22	#15688886	C₂²	1	1	yes	characteristic
23	#15688886	C₂²	1	2	yes	—
24	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
25	C₂×#131×C₄₇	—	2	8	no	—
26	C₂×#131×C₄₇	C₄	1	8	yes	complemented
27	C₂²×M₁₆×C₄₇	C₂²	1	2	yes	—
28	C₂²×M₁₆×C₄₇	C₂²	1	1	yes	characteristic
29	C₂³×C₈×C₄₇	C₂²	1	1	yes	characteristic
30	C₂³×C₈×C₄₇	C₂²	1	2	yes	—
31	C₂³×Dic₄₇	—	2	2	no	—
32	#13093983	—	2	4	no	—
33	#13093983	—	2	4	no	—
34	C₂×C₄⋊Dic₄₇	—	2	4	no	—
35	C₂×C₄⋊Dic₄₇	—	2	4	no	—
36	C₂×C₄⋊Dic₄₇	—	2	2	no	—
37	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
38	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
39	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
40	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
41	C₂×C₂²⋊Dic₄₇	—	2	4	no	—
42	C₂×C₂²⋊Dic₄₇	—	2	4	no	—
43	C₂×C₄×Dic₄₇	—	2	2	no	—
44	#13093958	—	2	8	no	—
45	#13093956	—	2	8	no	—
46	C₄₇⋊#95	—	2	4	no	—
47	C₄₇⋊#95	—	2	4	no	—
48	C₂×#41×C₄₇	—	2	4	no	—
49	C₂×#41×C₄₇	—	2	4	no	—
50	C₂×#41×C₄₇	C₂×C₄	1	4	yes	—
51	C₂×#41×C₄₇	Q₈	1	4	yes	—
52	C₂²×Q₈×C₄₇	D₄	1	1	yes	characteristic
53	C₂²×D₄×C₄₇	D₄	1	2	yes	—
54	C₂²×D₄×C₄₇	D₄	1	1	yes	characteristic
55	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
56	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
57	#131×C₄₇	—	2	32	no	—
58	C₂×M₁₆×C₄₇	—	2	8	no	—
59	C₂×M₁₆×C₄₇	C₂×C₄	1	4	yes	—
60	C₂×M₁₆×C₄₇	C₂×C₄	1	8	yes	complemented
61	C₂×M₁₆×C₄₇	D₄	1	8	yes	—
62	C₂²×C₈×C₄₇	—	2	4	no	—
63	C₂²×C₈×C₄₇	—	2	8	no	—
64	C₂²×C₈×C₄₇	C₂×C₄	1	4	yes	—
65	C₂²×C₈×C₄₇	C₂×C₄	1	8	yes	complemented
66	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
67	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
68	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
69	C₂⁴×C₄₇	C₂×D₄	1	2	yes	—
70	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
71	#41×C₄₇	—	2	8	no	—
72	#41×C₄₇	—	2	8	no	—
73	#41×C₄₇	—	2	16	no	—
74	C₂×Q₈×C₄₇	—	2	4	no	—
75	C₂×Q₈×C₄₇	C₄⋊C₄	1	4	yes	—
76	C₂×D₄×C₄₇	—	2	8	no	—
77	C₂×D₄×C₄₇	—	2	4	no	—
78	C₂×D₄×C₄₇	C₄⋊C₄	1	8	yes	—
79	C₂×D₄×C₄₇	C₄⋊C₄	1	4	yes	—
80	C₂²×C₄×C₄₇	—	2	4	no	—
81	C₂²×C₄×C₄₇	—	2	4	no	—
82	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
83	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
84	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
85	C₂²×C₄×C₄₇	C₂×D₄	1	4	yes	—
86	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₄₇	C₂×Q₈	1	4	yes	—
88	C₂²×C₄×C₄₇	C₂×Q₈	1	2	yes	—
89	C₂²×C₄×C₄₇	#41	1	4	yes	—
90	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
91	C₂²×Dic₄₇	—	2	2	no	—
92	C₂²×Dic₄₇	—	2	2	no	—
93	C₂²×Dic₄₇	—	2	4	no	—
94	C₂²×Dic₄₇	—	4	4	no	—
95	C₂²×Dic₄₇	—	8	2	no	—
96	C₂²×Dic₄₇	—	8	2	no	—
97	M₁₆×C₄₇	—	2	16	no	—
98	M₁₆×C₄₇	C₂²⋊C₄	1	16	yes	complemented
99	C₂×C₈×C₄₇	—	2	8	no	—
100	C₂×C₈×C₄₇	—	2	2	no	—
101	C₂×C₈×C₄₇	—	2	2	no	—
102	C₂×C₈×C₄₇	—	2	16	no	—
103	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
104	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
105	C₂×C₈×C₄₇	C₂²×C₄	1	4	yes	—
106	C₂×C₈×C₄₇	C₂×D₄	1	8	yes	—
107	C₂²⋊Dic₄₇	—	4	4	no	—
108	C₂²⋊Dic₄₇	—	8	4	no	—
109	C₂²⋊Dic₄₇	—	8	4	no	—
110	C₄⋊Dic₄₇	—	2	2	no	—
111	C₄⋊Dic₄₇	—	2	4	no	—
112	C₄⋊Dic₄₇	—	2	2	no	—
113	C₄⋊Dic₄₇	—	2	4	no	—
114	C₄⋊Dic₄₇	—	2	2	no	—
115	C₄⋊Dic₄₇	—	2	2	no	—
116	C₄⋊Dic₄₇	—	4	4	no	—
117	C₄×Dic₄₇	—	4	4	no	—
118	C₂³×C₄₇	—	2	1	no	—
119	C₂³×C₄₇	—	2	2	no	—
120	C₂³×C₄₇	—	2	1	no	—
121	C₂³×C₄₇	—	2	4	no	—
122	C₂³×C₄₇	—	2	2	no	—
123	C₂³×C₄₇	—	2	4	no	—
124	C₂³×C₄₇	—	2	2	no	—
125	C₂³×C₄₇	C₂×C₄⋊C₄	1	4	yes	—
126	C₂³×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
127	C₂³×C₄₇	#121	1	4	yes	—
128	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
129	Q₈×C₄₇	—	2	8	no	—
130	D₄×C₄₇	—	2	16	no	—
131	D₄×C₄₇	—	2	8	no	—
132	C₂×C₄×C₄₇	—	2	4	no	—
133	C₂×C₄×C₄₇	—	2	4	no	—
134	C₂×C₄×C₄₇	—	2	4	no	—
135	C₂×C₄×C₄₇	—	2	8	no	—
136	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	4	yes	—
137	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	4	yes	—
138	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
139	C₂×C₄×C₄₇	#117	1	4	yes	—
140	C₂×C₄×C₄₇	#121	1	4	yes	—
141	C₂×C₄×C₄₇	C₂²⋊Q₈	1	8	yes	—
142	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
143	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
144	C₂×C₄×C₄₇	C₂²×Q₈	1	1	yes	characteristic
145	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
146	C₂×Dic₄₇	—	4	2	no	—
147	C₂×Dic₄₇	—	4	2	no	—
148	C₂×Dic₄₇	—	4	4	no	—
149	C₂×Dic₄₇	—	4	2	no	—
150	C₂×Dic₄₇	—	4	4	no	—
151	C₂×Dic₄₇	—	4	2	no	—
152	C₂×Dic₄₇	—	4	4	no	—
153	C₂×Dic₄₇	—	4	2	no	—
154	C₂×Dic₄₇	—	4	2	no	—
155	C₂×Dic₄₇	—	8	8	no	—
156	C₈×C₄₇	—	2	2	no	—
157	C₈×C₄₇	—	2	2	no	—
158	C₈×C₄₇	C₂×C₂²⋊C₄	1	8	yes	—
159	#20664	—	47	1	no	maximal, Sylow
160	C₂²×C₄₇	—	2	2	no	—
161	C₂²×C₄₇	—	2	2	no	—
162	C₂²×C₄₇	—	2	4	no	—
163	C₂²×C₄₇	—	2	4	no	—
164	C₂²×C₄₇	—	2	4	no	—
165	C₂²×C₄₇	—	2	4	no	—
166	C₂²×C₄₇	—	2	4	no	—
167	C₂²×C₄₇	—	4	4	no	—
168	C₂²×C₄₇	—	4	4	no	—
169	C₂²×C₄₇	#380	1	4	yes	—
170	C₂²×C₄₇	C₂²×C₄⋊C₄	1	1	yes	characteristic
171	C₂²×C₄₇	C₂×#121	1	2	yes	—
172	C₂²×C₄₇	#576	1	1	yes	characteristic
173	C₂²×C₄₇	#577	1	2	yes	—
174	C₂²×C₄₇	#578	1	1	yes	characteristic
175	C₄×C₄₇	—	2	4	no	—
176	C₄×C₄₇	#380	1	4	yes	—
177	C₄×C₄₇	C₂²×C₂²⋊C₄	1	1	yes	characteristic
178	C₄×C₄₇	C₂×#117	1	1	yes	characteristic
179	C₄×C₄₇	C₂×C₂²⋊Q₈	1	2	yes	—
180	Dic₄₇	—	8	2	no	—
181	Dic₄₇	—	8	4	no	—
182	Dic₄₇	—	8	2	no	—
183	C₂²×#131	D₄₇	1	1	yes	characteristic
184	C₂×#428	—	47	2	no	—
185	#2311	—	47	2	no	—
186	#1809	—	47	4	no	—
187	#1808	—	47	2	no	—
188	#1807	—	47	2	no	—
189	#1735	—	47	1	no	—
190	C₂×#340	—	47	1	no	—
191	C₂×C₄₇	—	2	4	no	—
192	C₂×C₄₇	—	4	4	no	—
193	C₂×C₄₇	C₂×#380	1	1	yes	characteristic
194	C₂×C₄₇	#2912	1	1	yes	characteristic
195	C₂×C₄₇	#2913	1	1	yes	characteristic
196	C₂×C₄₇	#3062	1	2	yes	—
197	C₂×C₄₇	#3063	1	2	yes	—
198	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic
199	C₂×#131	—	2	8	no	—
200	C₂×#131	Dic₄₇	1	8	yes	complemented
201	C₂²×M₁₆	C₂×D₄₇	1	2	yes	—
202	C₂²×M₁₆	C₂×D₄₇	1	1	yes	characteristic
203	C₂³×C₈	C₂×D₄₇	1	1	yes	characteristic
204	C₂³×C₈	C₂×D₄₇	1	2	yes	—
205	C₂×#117	—	47	2	no	—
206	C₂²×C₄⋊C₄	—	47	2	no	—
207	#428	—	94	8	no	—
208	C₂×#107	—	47	4	no	—
209	C₂×#106	—	47	4	no	—
210	#391	—	94	2	no	—
211	#390	—	94	2	no	—
212	#386	—	94	4	no	—
213	#380	—	47	4	no	—
214	#380	—	47	4	no	—
215	#340	—	47	1	no	—
216	#340	—	47	2	no	—
217	#340	—	47	1	no	—
218	#340	—	47	2	no	—
219	#340	—	47	2	no	—
220	C₄₇	#20664	1	1	yes	characteristic, complemented, Sylow
221	C₂×#41	—	2	4	no	—
222	C₂×#41	—	2	4	no	—
223	C₂×#41	Dic₉₄	1	4	yes	—
224	C₂×#41	C₂×Dic₄₇	1	4	yes	—
225	C₂²×Q₈	D₁₈₈	1	1	yes	characteristic
226	C₂²×D₄	D₁₈₈	1	2	yes	—
227	C₂²×D₄	D₁₈₈	1	1	yes	characteristic
228	C₂³×C₄	—	94	2	no	—
229	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
230	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
231	#131	—	2	32	no	—
232	C₂×M₁₆	—	2	8	no	—
233	C₂×M₁₆	C₂×Dic₄₇	1	4	yes	—
234	C₂×M₁₆	C₂×Dic₄₇	1	8	yes	complemented
235	C₂×M₁₆	C₂²⋊D₄₇	1	8	yes	—
236	C₂²×C₈	—	2	4	no	—
237	C₂²×C₈	—	2	8	no	—
238	C₂²×C₈	C₂×Dic₄₇	1	4	yes	—
239	C₂²×C₈	C₂×Dic₄₇	1	8	yes	complemented
240	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
241	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
242	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
243	#117	—	94	4	no	—
244	#117	—	94	4	no	—
245	C₂×C₄⋊C₄	—	47	4	no	—
246	C₂×C₄⋊C₄	—	47	2	no	—
247	C₂×C₄⋊C₄	—	47	2	no	—
248	C₂×C₄⋊C₄	—	94	4	no	—
249	C₂×C₄⋊C₄	—	94	4	no	—
250	C₂×C₄⋊C₄	—	94	2	no	—
251	C₂×C₂²⋊C₄	—	94	4	no	—
252	C₂×C₂²⋊C₄	—	94	4	no	—
253	C₂×C₂²⋊C₄	—	94	2	no	—
254	C₂×C₄²	—	94	2	no	—
255	#107	—	94	8	no	—
256	#106	—	94	8	no	—
257	#95	—	94	4	no	—
258	#95	—	94	4	no	—
259	C₂⁴	C₂×D₁₈₈	1	2	yes	—
260	C₂⁴	C₂×D₁₈₈	1	1	yes	characteristic
261	#41	—	2	8	no	—
262	#41	—	2	8	no	—
263	#41	—	2	16	no	—
264	C₂×Q₈	—	2	4	no	—
265	C₂×Q₈	C₄⋊Dic₄₇	1	4	yes	—
266	C₂×D₄	—	2	8	no	—
267	C₂×D₄	—	2	4	no	—
268	C₂×D₄	C₄⋊Dic₄₇	1	8	yes	—
269	C₂×D₄	C₄⋊Dic₄₇	1	4	yes	—
270	C₂²×C₄	—	2	4	no	—
271	C₂²×C₄	—	2	4	no	—
272	C₂²×C₄	—	94	2	no	—
273	C₂²×C₄	—	94	2	no	—
274	C₂²×C₄	—	94	4	no	—
275	C₂²×C₄	—	376	2	no	—
276	C₂²×C₄	—	376	2	no	—
277	C₂²×C₄	—	188	4	no	—
278	C₂²×C₄	C₂×Dic₉₄	1	4	yes	—
279	C₂²×C₄	C₂×Dic₉₄	1	2	yes	—
280	C₂²×C₄	C₂×D₁₈₈	1	2	yes	—
281	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
282	C₂²×C₄	#10625350	1	4	yes	—
283	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
284	C₂²×C₄	C₂²×Dic₄₇	1	2	yes	—
285	C₂²×C₄	C₂×C₂²⋊D₄₇	1	4	yes	—
286	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
287	M₁₆	—	2	16	no	—
288	M₁₆	C₂²⋊Dic₄₇	1	16	yes	complemented
289	C₂×C₈	—	2	8	no	—
290	C₂×C₈	—	2	2	no	—
291	C₂×C₈	—	2	2	no	—
292	C₂×C₈	—	2	16	no	—
293	C₂×C₈	C₂²×Dic₄₇	1	2	yes	—
294	C₂×C₈	C₂²×Dic₄₇	1	2	yes	—
295	C₂×C₈	C₂²×Dic₄₇	1	4	yes	—
296	C₂×C₈	C₂×C₂²⋊D₄₇	1	8	yes	—
297	C₄⋊C₄	—	94	2	no	—
298	C₄⋊C₄	—	94	4	no	—
299	C₄⋊C₄	—	94	2	no	—
300	C₄⋊C₄	—	94	4	no	—
301	C₄⋊C₄	—	94	2	no	—
302	C₄⋊C₄	—	94	2	no	—
303	C₄⋊C₄	—	188	4	no	—
304	C₂²⋊C₄	—	376	4	no	—
305	C₂²⋊C₄	—	376	4	no	—
306	C₂²⋊C₄	—	188	4	no	—
307	C₄²	—	188	4	no	—
308	C₂³	—	2	1	no	—
309	C₂³	—	2	2	no	—
310	C₂³	—	2	1	no	—
311	C₂³	—	2	4	no	—
312	C₂³	—	2	2	no	—
313	C₂³	—	2	4	no	—
314	C₂³	—	2	2	no	—
315	C₂³	C₂×C₄⋊Dic₄₇	1	4	yes	—
316	C₂³	C₂×C₄⋊Dic₄₇	1	2	yes	—
317	C₂³	#13093998	1	4	yes	—
318	C₂³	C₂²×D₁₈₈	1	1	yes	characteristic
319	Q₈	—	2	8	no	—
320	D₄	—	2	16	no	—
321	D₄	—	2	8	no	—
322	C₂×C₄	—	2	4	no	—
323	C₂×C₄	—	2	4	no	—
324	C₂×C₄	—	2	4	no	—
325	C₂×C₄	—	2	8	no	—
326	C₂×C₄	—	376	8	no	—
327	C₂×C₄	—	188	2	no	—
328	C₂×C₄	—	188	2	no	—
329	C₂×C₄	—	188	4	no	—
330	C₂×C₄	—	188	2	no	—
331	C₂×C₄	—	188	4	no	—
332	C₂×C₄	—	188	2	no	—
333	C₂×C₄	—	188	4	no	—
334	C₂×C₄	—	188	2	no	—
335	C₂×C₄	—	188	2	no	—
336	C₂×C₄	C₂×C₂²⋊Dic₄₇	1	4	yes	—
337	C₂×C₄	C₂×C₄⋊Dic₄₇	1	4	yes	—
338	C₂×C₄	C₂×C₄⋊Dic₄₇	1	2	yes	—
339	C₂×C₄	#13093983	1	4	yes	—
340	C₂×C₄	#13093998	1	4	yes	—
341	C₂×C₄	#13094003	1	8	yes	—
342	C₂×C₄	C₂³×Dic₄₇	1	1	yes	characteristic
343	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
344	C₂×C₄	C₂²×Dic₉₄	1	1	yes	characteristic
345	C₂×C₄	C₂×#10625350	1	2	yes	—
346	C₈	—	2	2	no	—
347	C₈	—	2	2	no	—
348	C₈	C₂×C₂²⋊Dic₄₇	1	8	yes	—
349	C₂²	—	2	2	no	—
350	C₂²	—	2	2	no	—
351	C₂²	—	2	4	no	—
352	C₂²	—	2	4	no	—
353	C₂²	—	2	4	no	—
354	C₂²	—	2	4	no	—
355	C₂²	—	2	4	no	—
356	C₂²	—	4	4	no	—
357	C₂²	—	4	4	no	—
358	C₂²	#15688983	1	4	yes	—
359	C₂²	C₂²×C₄⋊Dic₄₇	1	1	yes	characteristic
360	C₂²	C₂×#13093998	1	2	yes	—
361	C₂²	#15689928	1	1	yes	characteristic
362	C₂²	#15689935	1	2	yes	—
363	C₂²	#15689940	1	1	yes	characteristic
364	C₄	—	2	4	no	—
365	C₄	—	376	4	no	—
366	C₄	—	376	2	no	—
367	C₄	—	376	2	no	—
368	C₄	#15688983	1	4	yes	—
369	C₄	C₂²×C₂²⋊Dic₄₇	1	1	yes	characteristic
370	C₄	C₂×#13093983	1	1	yes	characteristic
371	C₄	C₂×#13094003	1	2	yes	—
372	C₂	—	2	4	no	—
373	C₂	—	4	4	no	—
374	C₂	C₂×#15688983	1	1	yes	characteristic
375	C₂	#20251983	1	1	yes	characteristic
376	C₂	#20251988	1	1	yes	characteristic
377	C₂	#20253068	1	2	yes	—
378	C₂	#20253079	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂²×D₁₈₈
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₂²×#131×C₄₇	C₂
socle	C₂³×C₄₇	C₂²×D₄
prime radical	C₂²×#41×C₄₇	C₂²
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	C₂²×#131	D₄₇
hypocenter	C₄₇	#20664
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂²×#41 ◁ C₂²×#131

Complements

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

N	H ≅ G/N	type
1. C₂×#15689165	C₂	semidirect
3. #20243421	C₂	semidirect
4. #20243417	C₂	semidirect
5. #20243413	C₂	semidirect
6. #20243105	C₂	semidirect
7. C₂×#15688886	C₂	semidirect
26. C₂×#131×C₄₇	C₄	semidirect
60. C₂×M₁₆×C₄₇	C₂×C₄	semidirect
65. C₂²×C₈×C₄₇	C₂×C₄	semidirect
98. M₁₆×C₄₇	C₂²⋊C₄	semidirect
200. C₂×#131	Dic₄₇	semidirect
220. C₄₇	#20664	semidirect
234. C₂×M₁₆	C₂×Dic₄₇	semidirect
239. C₂²×C₈	C₂×Dic₄₇	semidirect
288. M₁₆	C₂²⋊Dic₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689165	2
#20245980	2
#20243421	2
#20243417	2
#20243413	2
#20243105	2
C₂×#15688886	2
C₂²×#131×C₄₇	2
#20664	47