Subgroups — #26109331

Order 12032.

542 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689188	C₂	1	1	yes	maximal, characteristic
2	#20243547	C₂	1	1	yes	maximal, characteristic, complemented
3	#20243389	C₂	1	1	yes	maximal, characteristic
4	#20243385	C₂	1	1	yes	maximal, characteristic
5	C₂×#15688875	C₂	1	1	yes	maximal, characteristic, complemented
6	#20241272	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₇×#1296	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×C₈×D₄₇	—	2	1	no	—
9	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
10	#15689188	—	2	2	no	—
11	#15689188	C₄	1	4	yes	complemented
12	C₂×#13093957	—	2	1	no	—
13	C₂×#13093957	—	2	1	no	—
14	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
15	C₂×#13093946	—	2	1	no	—
16	C₂×#13093944	—	2	1	no	—
17	C₂×(C₂×D₄₇)⋊C₈	—	2	1	no	—
18	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
19	#15688993	C₂²	1	1	yes	characteristic
20	#15688886	—	2	1	no	—
21	#15688885	—	2	1	no	—
22	#15688875	—	2	2	no	—
23	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
24	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
25	C₄₇×#384	C₂²	1	1	yes	characteristic
26	C₂²×D₁₈₈	D₄	1	1	yes	characteristic
27	C₂²×C₄×D₄₇	—	2	1	no	—
28	C₂²×C₄₇⋊C₈	—	2	1	no	—
29	C₂²×C₄₇⋊C₈	D₄	1	1	yes	characteristic
30	C₂²×C₄₇⋊C₈	D₄	1	1	yes	characteristic
31	C₂×C₈×D₄₇	—	2	4	no	—
32	C₂×C₈×D₄₇	—	4	2	no	—
33	C₂×C₈×D₄₇	—	4	2	no	—
34	C₄×D₁₈₈	—	2	1	no	—
35	C₄×D₁₈₈	—	2	1	no	—
36	C₄×D₁₈₈	C₂×C₄	1	2	yes	—
37	C₄×D₁₈₈	Q₈	1	2	yes	—
38	C₂×C₄⋊Dic₄₇	—	2	1	no	—
39	C₂×C₄⋊Dic₄₇	—	2	1	no	—
40	C₂×C₄⋊Dic₄₇	—	2	1	no	—
41	C₂×C₄⋊Dic₄₇	D₄	1	1	yes	characteristic
42	C₂×(C₂×D₄₇)⋊C₄	—	2	1	no	—
43	#13093957	—	4	2	no	—
44	#13093957	—	4	2	no	—
45	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
46	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
47	#13093946	—	4	2	no	—
48	#13093944	—	4	2	no	—
49	(C₂×D₄₇)⋊C₈	—	2	4	no	—
50	C₄×C₄₇⋊C₈	C₂×C₄	1	2	yes	—
51	C₄×C₄₇⋊C₈	D₄	1	2	yes	—
52	C₂²×C₈×C₄₇	—	2	1	no	—
53	C₂²×C₈×C₄₇	—	2	1	no	—
54	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
55	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
56	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
57	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
58	C₄⋊C₈×C₄₇	—	2	1	no	—
59	C₄⋊C₈×C₄₇	—	2	1	no	—
60	C₄⋊C₈×C₄₇	—	2	1	no	—
61	C₄⋊C₈×C₄₇	C₂×C₄	1	2	yes	—
62	C₂³×D₄₇	—	2	1	no	—
63	C₂²×C₄×C₄₇	—	4	1	no	—
64	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
65	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
66	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
67	C₂²×Dic₄₇	—	2	1	no	—
68	C₂²×Dic₄₇	—	4	1	no	—
69	C₂×D₁₈₈	—	2	1	no	—
70	C₂×D₁₈₈	—	2	1	no	—
71	C₂×D₁₈₈	—	2	1	no	—
72	C₂×D₁₈₈	C₄⋊C₄	1	2	yes	—
73	C₂×D₁₈₈	D₈	1	2	yes	—
74	C₂×D₁₈₈	Q₁₆	1	2	yes	—
75	C₂×C₄×D₄₇	—	2	2	no	—
76	C₂×C₄×D₄₇	—	2	2	no	—
77	C₂×C₄×D₄₇	—	4	1	no	—
78	C₂×C₄×D₄₇	—	4	1	no	—
79	C₂×C₄×D₄₇	—	4	1	no	—
80	C₂×C₄×D₄₇	—	4	1	no	—
81	C₂×C₈×C₄₇	—	2	2	no	—
82	C₂×C₈×C₄₇	—	4	1	no	—
83	C₂×C₈×C₄₇	—	4	1	no	—
84	C₂×C₈×C₄₇	—	4	1	no	—
85	C₂×C₈×C₄₇	—	4	1	no	—
86	C₂×C₈×C₄₇	—	4	1	no	—
87	C₄⋊C₄×C₄₇	—	4	1	no	—
88	C₄⋊C₄×C₄₇	—	4	1	no	—
89	C₄⋊C₄×C₄₇	—	4	1	no	—
90	C₄⋊C₄×C₄₇	—	4	1	no	—
91	C₄⋊C₄×C₄₇	—	8	1	no	—
92	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
93	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
94	C₄²×C₄₇	C₂×Q₈	1	1	yes	characteristic
95	C₄²×C₄₇	#41	1	1	yes	characteristic
96	(C₂×D₄₇)⋊C₄	—	2	2	no	—
97	(C₂×D₄₇)⋊C₄	—	2	2	no	—
98	C₄⋊Dic₄₇	—	2	1	no	—
99	C₄⋊Dic₄₇	—	4	1	no	—
100	C₄⋊Dic₄₇	—	4	1	no	—
101	C₄⋊Dic₄₇	—	4	1	no	—
102	C₄⋊Dic₄₇	—	4	1	no	—
103	C₄⋊Dic₄₇	—	8	1	no	—
104	C₄⋊Dic₄₇	C₄⋊C₄	1	2	yes	—
105	C₂×C₄₇⋊C₈	—	2	1	no	—
106	C₂×C₄₇⋊C₈	—	2	1	no	—
107	C₂×C₄₇⋊C₈	—	4	1	no	—
108	C₂×C₄₇⋊C₈	—	4	1	no	—
109	C₂×C₄₇⋊C₈	—	4	1	no	—
110	C₂×C₄₇⋊C₈	C₂²⋊C₄	1	2	yes	—
111	C₂×C₄₇⋊C₈	C₂²⋊C₄	1	2	yes	—
112	C₂×C₄₇⋊C₈	D₈	1	2	yes	—
113	C₂×C₄₇⋊C₈	SD₁₆	1	2	yes	—
114	C₈×D₄₇	—	4	8	no	—
115	C₂³×C₄₇	#121	1	1	yes	characteristic
116	C₂²×D₄₇	—	2	2	no	—
117	C₂²×D₄₇	—	2	2	no	—
118	C₂²×D₄₇	—	2	2	no	—
119	C₂²×D₄₇	—	4	1	no	—
120	C₂²×D₄₇	—	4	1	no	—
121	C₂²×D₄₇	—	4	1	no	—
122	C₂²×D₄₇	—	4	1	no	—
123	C₂×C₄×C₄₇	—	2	1	no	—
124	C₂×C₄×C₄₇	—	2	1	no	—
125	C₂×C₄×C₄₇	—	8	1	no	—
126	C₂×C₄×C₄₇	—	8	1	no	—
127	C₂×C₄×C₄₇	—	8	1	no	—
128	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
129	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
130	C₂×C₄×C₄₇	#117	1	1	yes	characteristic
131	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
132	C₂×C₄×C₄₇	C₂²⋊Q₈	1	1	yes	characteristic
133	C₂×C₄×C₄₇	C₂²⋊Q₈	1	1	yes	characteristic
134	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
135	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
136	C₂×C₄×C₄₇	C₂×SD₁₆	1	1	yes	characteristic
137	C₂×C₄×C₄₇	C₂×Q₁₆	1	1	yes	characteristic
138	C₂×C₄×C₄₇	#135	1	1	yes	characteristic
139	C₂×C₄×C₄₇	#135	1	1	yes	characteristic
140	C₂×C₄×C₄₇	AGL(1,ℤ/8)	1	1	yes	characteristic
141	C₂×C₄×C₄₇	#137	1	1	yes	characteristic
142	C₂×Dic₄₇	—	2	2	no	—
143	C₂×Dic₄₇	—	4	1	no	—
144	C₂×Dic₄₇	—	4	1	no	—
145	C₂×Dic₄₇	—	8	1	no	—
146	C₂×Dic₄₇	—	8	1	no	—
147	C₂×Dic₄₇	—	8	1	no	—
148	D₁₈₈	—	2	2	no	—
149	D₁₈₈	—	2	2	no	—
150	D₁₈₈	—	2	2	no	—
151	D₁₈₈	#107	1	4	yes	complemented
152	C₄×D₄₇	—	4	2	no	—
153	C₄×D₄₇	—	4	2	no	—
154	C₄×D₄₇	—	4	2	no	—
155	C₄×D₄₇	—	4	2	no	—
156	C₈×C₄₇	—	4	2	no	—
157	C₈×C₄₇	—	8	1	no	—
158	C₄₇⋊C₈	—	2	2	no	—
159	C₄₇⋊C₈	—	8	1	no	—
160	C₄₇⋊C₈	#102	1	4	yes	complemented
161	#8644	—	47	1	no	maximal, Sylow
162	C₂²×C₄₇	#380	1	1	yes	characteristic
163	C₂²×C₄₇	#459	1	1	yes	characteristic
164	C₂²×C₄₇	#461	1	1	yes	characteristic
165	C₂²×C₄₇	#466	1	1	yes	characteristic
166	C₂²×C₄₇	#467	1	1	yes	characteristic
167	C₂²×C₄₇	#472	1	1	yes	characteristic
168	C₂²×C₄₇	#473	1	1	yes	characteristic
169	C₂×D₄₇	—	2	4	no	—
170	C₂×D₄₇	—	4	2	no	—
171	C₂×D₄₇	—	4	2	no	—
172	C₂×D₄₇	—	4	2	no	—
173	C₂×D₄₇	—	4	2	no	—
174	C₂×D₄₇	—	4	2	no	—
175	C₂×D₄₇	—	4	2	no	—
176	C₄×C₄₇	—	2	1	no	—
177	C₄×C₄₇	—	2	1	no	—
178	C₄×C₄₇	—	16	1	no	—
179	C₄×C₄₇	C₂×#102	1	1	yes	characteristic
180	C₄×C₄₇	#417	1	1	yes	characteristic
181	C₄×C₄₇	C₂×#107	1	1	yes	characteristic
182	C₄×C₄₇	#427	1	1	yes	characteristic
183	C₄×C₄₇	#466	1	1	yes	characteristic
184	C₄×C₄₇	#467	1	1	yes	characteristic
185	C₄×C₄₇	#474	1	1	yes	characteristic
186	C₄×C₄₇	#476	1	1	yes	characteristic
187	Dic₄₇	—	4	2	no	—
188	Dic₄₇	—	16	1	no	—
189	C₂×C₈×D₄	—	47	1	no	—
190	#1845	—	47	1	no	—
191	#1802	—	47	1	no	—
192	#1802	—	47	1	no	—
193	C₂×#335	—	47	1	no	—
194	#1296	—	47	1	no	—
195	#1296	D₄₇	1	1	yes	characteristic, complemented
196	C₂×C₄₇	#1667	1	1	yes	characteristic
197	C₂×C₄₇	#1669	1	1	yes	characteristic
198	C₂×C₄₇	#1673	1	1	yes	characteristic
199	C₂×C₄₇	#1675	1	1	yes	characteristic
200	C₂×C₄₇	#1802	1	1	yes	characteristic
201	C₂×C₄₇	#1808	1	1	yes	characteristic
202	C₂×C₄₇	#1816	1	1	yes	characteristic
203	D₄₇	—	4	4	no	—
204	C₂³×C₈	—	94	1	no	—
205	C₂×C₄×D₄	—	47	1	no	—
206	C₈×D₄	—	47	4	no	—
207	C₈×D₄	—	94	2	no	—
208	C₂×#107	—	94	1	no	—
209	C₂×#107	—	94	1	no	—
210	C₂×C₄⋊C₈	—	47	1	no	—
211	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic
212	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic
213	C₂×#102	—	94	1	no	—
214	C₂×#102	—	94	1	no	—
215	C₂×C₂²⋊C₈	—	94	1	no	—
216	C₂×C₄×C₈	—	47	1	no	—
217	#384	—	47	1	no	—
218	#384	C₂×D₄₇	1	1	yes	characteristic
219	#340	—	94	1	no	—
220	#340	—	94	1	no	—
221	#335	—	94	2	no	—
222	C₄₇	#8644	1	1	yes	characteristic, complemented, Sylow
223	C₂²×D₄	—	47	1	no	—
224	C₂³×C₄	—	94	1	no	—
225	C₂²×C₈	—	2	1	no	—
226	C₂²×C₈	—	2	1	no	—
227	C₂²×C₈	—	47	1	no	—
228	C₂²×C₈	—	47	1	no	—
229	C₂²×C₈	—	94	4	no	—
230	C₂²×C₈	—	94	1	no	—
231	C₂²×C₈	—	188	2	no	—
232	C₂²×C₈	—	188	2	no	—
233	C₄×D₄	—	47	2	no	—
234	C₄×D₄	—	47	2	no	—
235	C₄×D₄	—	94	1	no	—
236	C₄×D₄	—	94	1	no	—
237	C₂×C₄⋊C₄	—	2	1	no	—
238	C₂×C₄⋊C₄	—	2	1	no	—
239	C₂×C₄⋊C₄	—	2	1	no	—
240	C₂×C₄⋊C₄	—	47	1	no	—
241	C₂×C₄⋊C₄	—	94	1	no	—
242	C₂×C₄⋊C₄	—	94	1	no	—
243	C₂×C₄⋊C₄	—	94	1	no	—
244	C₂×C₂²⋊C₄	—	94	1	no	—
245	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
246	#107	—	188	2	no	—
247	#107	—	188	2	no	—
248	C₄⋊C₈	—	2	1	no	—
249	C₄⋊C₈	—	2	1	no	—
250	C₄⋊C₈	—	2	1	no	—
251	C₄⋊C₈	—	94	1	no	—
252	C₄⋊C₈	—	94	1	no	—
253	C₄⋊C₈	C₄×D₄₇	1	2	yes	—
254	#102	—	188	2	no	—
255	#102	—	188	2	no	—
256	C₂²⋊C₈	—	94	4	no	—
257	C₄×C₈	—	47	2	no	—
258	C₄×C₈	—	47	2	no	—
259	C₂⁴	—	94	1	no	—
260	C₂×D₄	—	47	2	no	—
261	C₂×D₄	—	47	2	no	—
262	C₂×D₄	—	47	2	no	—
263	C₂×D₄	—	94	1	no	—
264	C₂×D₄	—	94	1	no	—
265	C₂×D₄	—	94	1	no	—
266	C₂²×C₄	—	4	1	no	—
267	C₂²×C₄	—	94	1	no	—
268	C₂²×C₄	—	94	2	no	—
269	C₂²×C₄	—	94	2	no	—
270	C₂²×C₄	—	188	1	no	—
271	C₂²×C₄	—	188	1	no	—
272	C₂²×C₄	—	188	1	no	—
273	C₂²×C₄	—	188	1	no	—
274	C₂²×C₄	—	188	1	no	—
275	C₂²×C₄	#10625350	1	1	yes	characteristic
276	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
277	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
278	C₂×C₈	—	2	2	no	—
279	C₂×C₈	—	4	1	no	—
280	C₂×C₈	—	4	1	no	—
281	C₂×C₈	—	4	1	no	—
282	C₂×C₈	—	4	1	no	—
283	C₂×C₈	—	4	1	no	—
284	C₂×C₈	—	47	2	no	—
285	C₂×C₈	—	47	2	no	—
286	C₂×C₈	—	47	2	no	—
287	C₂×C₈	—	47	2	no	—
288	C₂×C₈	—	94	1	no	—
289	C₂×C₈	—	94	1	no	—
290	C₂×C₈	—	188	8	no	—
291	C₂×C₈	—	188	1	no	—
292	C₂×C₈	—	188	1	no	—
293	C₂×C₈	—	188	1	no	—
294	C₄⋊C₄	—	4	1	no	—
295	C₄⋊C₄	—	4	1	no	—
296	C₄⋊C₄	—	4	1	no	—
297	C₄⋊C₄	—	4	1	no	—
298	C₄⋊C₄	—	8	1	no	—
299	C₄⋊C₄	—	47	2	no	—
300	C₄⋊C₄	—	94	1	no	—
301	C₄⋊C₄	—	376	1	no	—
302	C₄⋊C₄	—	188	1	no	—
303	C₄⋊C₄	—	188	1	no	—
304	C₄⋊C₄	—	188	1	no	—
305	C₄⋊C₄	—	188	1	no	—
306	C₂²⋊C₄	—	94	2	no	—
307	C₂²⋊C₄	—	94	2	no	—
308	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
309	C₄²	#10625350	1	1	yes	characteristic
310	C₄²	D₄×D₄₇	1	1	yes	characteristic
311	C₄²	Q₈×D₄₇	1	1	yes	characteristic
312	C₂³	—	94	2	no	—
313	C₂³	—	94	2	no	—
314	C₂³	—	94	2	no	—
315	C₂³	—	188	1	no	—
316	C₂³	—	188	1	no	—
317	C₂³	—	188	1	no	—
318	C₂³	—	188	1	no	—
319	C₂³	#13093997	1	1	yes	characteristic
320	D₄	—	47	4	no	—
321	D₄	—	94	2	no	—
322	D₄	—	94	2	no	—
323	D₄	—	94	2	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	8	1	no	—
327	C₂×C₄	—	8	1	no	—
328	C₂×C₄	—	8	1	no	—
329	C₂×C₄	—	94	2	no	—
330	C₂×C₄	—	376	1	no	—
331	C₂×C₄	—	376	1	no	—
332	C₂×C₄	—	376	1	no	—
333	C₂×C₄	—	188	1	no	—
334	C₂×C₄	—	188	1	no	—
335	C₂×C₄	—	188	2	no	—
336	C₂×C₄	—	188	2	no	—
337	C₂×C₄	—	188	2	no	—
338	C₂×C₄	—	188	2	no	—
339	C₂×C₄	C₂²⋊C₄×D₄₇	1	1	yes	characteristic
340	C₂×C₄	C₄⋊C₄×D₄₇	1	1	yes	characteristic
341	C₂×C₄	#13093981	1	1	yes	characteristic
342	C₂×C₄	#13093997	1	1	yes	characteristic
343	C₂×C₄	#13094002	1	1	yes	characteristic
344	C₂×C₄	#13094002	1	1	yes	characteristic
345	C₂×C₄	D₈×D₄₇	1	1	yes	characteristic
346	C₂×C₄	D₈×D₄₇	1	1	yes	characteristic
347	C₂×C₄	SD₁₆×D₄₇	1	1	yes	characteristic
348	C₂×C₄	Q₁₆×D₄₇	1	1	yes	characteristic
349	C₂×C₄	#13094045	1	1	yes	characteristic
350	C₂×C₄	#13094045	1	1	yes	characteristic
351	C₂×C₄	#13094051	1	1	yes	characteristic
352	C₂×C₄	#13094056	1	1	yes	characteristic
353	C₈	—	4	2	no	—
354	C₈	—	8	1	no	—
355	C₈	—	47	4	no	—
356	C₈	—	94	2	no	—
357	C₈	—	376	1	no	—
358	C₂²	—	94	4	no	—
359	C₂²	—	188	2	no	—
360	C₂²	—	188	2	no	—
361	C₂²	—	188	2	no	—
362	C₂²	—	188	2	no	—
363	C₂²	—	188	2	no	—
364	C₂²	—	188	2	no	—
365	C₂²	#15688982	1	1	yes	characteristic
366	C₂²	#15689317	1	1	yes	characteristic
367	C₂²	#15689327	1	1	yes	characteristic
368	C₂²	#15689358	1	1	yes	characteristic
369	C₂²	#15689363	1	1	yes	characteristic
370	C₂²	#15689392	1	1	yes	characteristic
371	C₂²	#15689397	1	1	yes	characteristic
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	16	1	no	—
375	C₄	—	188	2	no	—
376	C₄	—	752	1	no	—
377	C₄	#102×D₄₇	1	1	yes	characteristic
378	C₄	#15689123	1	1	yes	characteristic
379	C₄	#107×D₄₇	1	1	yes	characteristic
380	C₄	#15689158	1	1	yes	characteristic
381	C₄	#15689358	1	1	yes	characteristic
382	C₄	#15689363	1	1	yes	characteristic
383	C₄	#15689402	1	1	yes	characteristic
384	C₄	#15689412	1	1	yes	characteristic
385	C₂	—	188	4	no	—
386	C₂	#20242742	1	1	yes	characteristic
387	C₂	#20242752	1	1	yes	characteristic
388	C₂	#20242776	1	1	yes	characteristic
389	C₂	#20242786	1	1	yes	characteristic
390	C₂	#20243387	1	1	yes	characteristic
391	C₂	#20243416	1	1	yes	characteristic
392	C₂	#20243451	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#13093997
commutator	C₄²×C₄₇	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₄₇
Fitting	C₄₇×#1296	C₂
socle	C₂³×C₄₇	#121
prime radical	C₂²×D₁₈₈	D₄
cosocle	C₂×C₄²×C₄₇	C₂³
hypercenter	#1296	D₄₇
hypocenter	C₄₇	#8644
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #1296

Complements

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

N	H ≅ G/N	type
2. #20243547	C₂	semidirect
5. C₂×#15688875	C₂	semidirect
6. #20241272	C₂	semidirect
7. C₄₇×#1296	C₂	semidirect
11. #15689188	C₄	semidirect
151. D₁₈₈	#107	semidirect
160. C₄₇⋊C₈	#102	semidirect
195. #1296	D₄₇	semidirect
222. C₄₇	#8644	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689188	2
#20243547	2
#20243389	2
#20243385	2
C₂×#15688875	2
#20241272	2
C₄₇×#1296	2
#8644	47