Subgroups — #26220430

Order 12032.

838 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689181	C₂	1	2	yes	maximal, complemented
2	#20245853	C₂	1	1	yes	maximal, characteristic
3	#20244187	C₂	1	1	yes	maximal, characteristic
4	#20244111	C₂	1	1	yes	maximal, characteristic, complemented
5	#20244109	C₂	1	1	yes	maximal, characteristic, complemented
6	#20243997	C₂	1	2	yes	maximal, complemented
7	#20243991	C₂	1	2	yes	maximal, complemented
8	C₄⋊C₈×Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
9	#20243156	C₂	1	2	yes	maximal, complemented
10	#97×Dic₄₇	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#1955	C₂	1	1	yes	maximal, characteristic
12	C₂×#13093983	C₂²	1	2	yes	—
13	#15689181	—	2	8	no	—
14	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
15	C₂×Dic₄₇⋊C₈	C₂²	1	2	yes	—
16	C₂×Dic₄₇⋊C₈	C₂²	1	2	yes	—
17	C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	1	2	yes	—
18	C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	1	2	yes	—
19	C₂×#13093935	C₂²	1	1	yes	characteristic
20	C₂×#13093934	C₂²	1	1	yes	characteristic
21	C₂×#13093934	C₂²	1	1	yes	characteristic
22	C₂×C₈×Dic₄₇	C₂²	1	1	yes	characteristic
23	C₂×C₈×Dic₄₇	C₂²	1	1	yes	characteristic
24	C₂×C₈×Dic₄₇	C₂²	1	2	yes	—
25	#15689026	C₄	1	2	yes	—
26	#15689022	C₄	1	2	yes	—
27	#15689016	C₄	1	4	yes	—
28	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
29	C₄×C₂²⋊Dic₄₇	C₂²	1	2	yes	—
30	C₄²×Dic₄₇	C₂²	1	1	yes	characteristic
31	#15688877	C₂²	1	2	yes	—
32	#15688877	C₂²	1	2	yes	—
33	#15688877	C₂²	1	2	yes	—
34	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
35	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
36	C₂×C₂²⋊C₈×C₄₇	C₂²	1	2	yes	—
37	C₂×C₂²⋊C₈×C₄₇	C₂²	1	2	yes	—
38	C₂×#97×C₄₇	C₂²	1	1	yes	characteristic
39	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
40	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
41	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
42	#13093983	—	2	4	no	—
43	#13093983	—	2	4	no	—
44	C₂×C₄⋊Dic₄₇	C₂×C₄	1	4	yes	—
45	C₂×C₄⋊Dic₄₇	C₂×C₄	1	2	yes	—
46	C₂×C₂²⋊Dic₄₇	C₂×C₄	1	4	yes	—
47	C₂×C₂²⋊Dic₄₇	C₂×C₄	1	4	yes	—
48	C₂×C₄×Dic₄₇	C₂×C₄	1	2	yes	—
49	C₂×C₄×Dic₄₇	C₂×C₄	1	2	yes	—
50	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
51	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
52	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
53	C₄⋊(C₄₇⋊C₈)	—	2	2	no	—
54	Dic₄₇⋊C₈	—	2	4	no	—
55	Dic₄₇⋊C₈	—	2	4	no	—
56	C₂²⋊(C₄₇⋊C₈)	—	2	4	no	—
57	C₂²⋊(C₄₇⋊C₈)	—	2	4	no	—
58	#13093935	—	2	2	no	—
59	#13093934	—	2	2	no	—
60	#13093934	D₄	1	4	yes	complemented
61	C₈×Dic₄₇	—	2	2	no	—
62	C₈×Dic₄₇	—	2	4	no	—
63	C₈×Dic₄₇	—	2	2	no	—
64	C₄₇⋊#95	C₂×C₄	1	4	yes	—
65	C₄₇⋊#95	C₂×C₄	1	2	yes	—
66	C₂²×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
67	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
68	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
69	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
70	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
71	C₄×D₄×C₄₇	—	2	2	no	—
72	C₄×D₄×C₄₇	—	2	2	no	—
73	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
74	C₂×C₂²⋊C₄×C₄₇	C₂×C₄	1	2	yes	—
75	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
76	C₄⋊C₈×C₄₇	—	2	2	no	—
77	C₂²⋊C₈×C₄₇	—	2	4	no	—
78	C₂²⋊C₈×C₄₇	—	2	4	no	—
79	#97×C₄₇	—	2	2	no	—
80	C₂⁴×C₄₇	C₂²×C₄	1	2	yes	—
81	C₂×D₄×C₄₇	—	2	2	no	—
82	C₂×D₄×C₄₇	—	4	2	no	—
83	C₂²×C₄×C₄₇	—	2	2	no	—
84	C₂²×C₄×C₄₇	—	2	2	no	—
85	C₂²×C₄×C₄₇	—	2	2	no	—
86	C₂²×C₄×C₄₇	—	2	2	no	—
87	C₂²×C₄×C₄₇	—	2	2	no	—
88	C₂²×C₄×C₄₇	—	2	2	no	—
89	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
90	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
91	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
92	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
93	C₂²×Dic₄₇	C₂²×C₄	1	4	yes	—
94	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
95	C₂²×Dic₄₇	C₂²×C₄	1	2	yes	—
96	C₂×C₈×C₄₇	—	2	1	no	—
97	C₂×C₈×C₄₇	—	2	1	no	—
98	C₂×C₈×C₄₇	—	2	1	no	—
99	C₂×C₈×C₄₇	—	2	1	no	—
100	C₂×C₈×C₄₇	—	2	2	no	—
101	C₂×C₈×C₄₇	—	2	2	no	—
102	C₂×C₈×C₄₇	—	2	2	no	—
103	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
104	C₂×C₈×C₄₇	#41	1	2	yes	—
105	C₄⋊C₄×C₄₇	—	2	2	no	—
106	C₂²⋊C₄×C₄₇	—	2	4	no	—
107	C₄²×C₄₇	#41	1	2	yes	—
108	C₄²×C₄₇	#41	1	2	yes	—
109	C₂²⋊Dic₄₇	—	2	8	no	—
110	C₂²⋊Dic₄₇	—	2	8	no	—
111	C₄⋊Dic₄₇	—	2	8	no	—
112	C₄⋊Dic₄₇	—	4	2	no	—
113	C₄×Dic₄₇	—	2	2	no	—
114	C₄×Dic₄₇	—	2	1	no	—
115	C₄×Dic₄₇	—	2	1	no	—
116	C₄×Dic₄₇	—	2	2	no	—
117	C₄×Dic₄₇	—	2	4	no	—
118	C₄×Dic₄₇	—	4	2	no	—
119	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
120	C₄×Dic₄₇	#41	1	2	yes	—
121	C₂×C₄₇⋊C₈	—	2	1	no	—
122	C₂×C₄₇⋊C₈	—	2	1	no	—
123	C₂×C₄₇⋊C₈	—	2	1	no	—
124	C₂×C₄₇⋊C₈	—	2	1	no	—
125	C₂×C₄₇⋊C₈	—	2	2	no	—
126	C₂×C₄₇⋊C₈	—	2	2	no	—
127	C₂×C₄₇⋊C₈	—	2	2	no	—
128	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
129	C₂×C₄₇⋊C₈	#41	1	2	yes	—
130	C₂³×C₄₇	—	2	2	no	—
131	C₂³×C₄₇	—	2	2	no	—
132	C₂³×C₄₇	—	2	2	no	—
133	C₂³×C₄₇	—	2	4	no	—
134	C₂³×C₄₇	—	2	4	no	—
135	C₂³×C₄₇	C₂³×C₄	1	1	yes	characteristic
136	D₄×C₄₇	—	4	4	no	—
137	C₂×C₄×C₄₇	—	2	2	no	—
138	C₂×C₄×C₄₇	—	2	2	no	—
139	C₂×C₄×C₄₇	—	2	2	no	—
140	C₂×C₄×C₄₇	—	2	2	no	—
141	C₂×C₄×C₄₇	—	2	2	no	—
142	C₂×C₄×C₄₇	—	4	2	no	—
143	C₂×C₄×C₄₇	—	4	2	no	—
144	C₂×C₄×C₄₇	—	4	2	no	—
145	C₂×C₄×C₄₇	—	4	2	no	—
146	C₂×C₄×C₄₇	#117	1	2	yes	—
147	C₂×C₄×C₄₇	#117	1	2	yes	—
148	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
149	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
150	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
151	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
152	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
153	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
154	C₂×Dic₄₇	—	2	2	no	—
155	C₂×Dic₄₇	—	2	2	no	—
156	C₂×Dic₄₇	—	2	2	no	—
157	C₂×Dic₄₇	—	2	2	no	—
158	C₂×Dic₄₇	—	2	4	no	—
159	C₂×Dic₄₇	—	2	4	no	—
160	C₂×Dic₄₇	—	2	4	no	—
161	C₂×Dic₄₇	C₄×D₄	1	4	yes	—
162	C₂×Dic₄₇	#131	1	4	yes	—
163	C₈×C₄₇	—	2	2	no	—
164	C₈×C₄₇	—	2	2	no	—
165	C₈×C₄₇	—	4	2	no	—
166	C₄₇⋊C₈	—	2	2	no	—
167	C₄₇⋊C₈	—	2	2	no	—
168	C₄₇⋊C₈	—	4	2	no	—
169	#21269	—	47	1	no	maximal, Sylow
170	C₂²×C₄₇	—	4	2	no	—
171	C₂²×C₄₇	—	4	2	no	—
172	C₂²×C₄₇	—	4	4	no	—
173	C₂²×C₄₇	—	4	4	no	—
174	C₂²×C₄₇	—	4	2	no	—
175	C₂²×C₄₇	C₂×#117	1	1	yes	characteristic
176	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
177	C₂²×C₄₇	C₄×#41	1	1	yes	characteristic
178	C₂²×C₄₇	C₂×#131	1	2	yes	—
179	C₂²×C₄₇	#568	1	2	yes	—
180	C₄×C₄₇	—	2	2	no	—
181	C₄×C₄₇	—	2	2	no	—
182	C₄×C₄₇	—	4	2	no	—
183	C₄×C₄₇	#529	1	1	yes	characteristic
184	C₄×C₄₇	#529	1	1	yes	characteristic
185	C₄×C₄₇	#532	1	1	yes	characteristic
186	C₄×C₄₇	#532	1	1	yes	characteristic
187	Dic₄₇	—	2	4	no	—
188	Dic₄₇	—	2	4	no	—
189	Dic₄₇	—	4	4	no	—
190	C₂×#433	—	47	2	no	—
191	#2293	—	47	1	no	—
192	#1955	—	47	1	no	—
193	#1955	D₄₇	1	1	yes	characteristic
194	#1940	—	47	1	no	—
195	#1940	—	47	1	no	—
196	#1923	—	47	2	no	—
197	#1923	—	47	2	no	—
198	C₄×C₄⋊C₈	—	47	1	no	—
199	#1750	—	47	2	no	—
200	C₄×#97	—	47	1	no	—
201	C₂×C₄₇	—	8	2	no	—
202	C₂×C₄₇	#2293	1	1	yes	characteristic
203	C₂×C₄₇	#2921	1	1	yes	characteristic
204	C₂×C₄₇	#2922	1	1	yes	characteristic
205	C₂×C₄₇	#2935	1	2	yes	—
206	C₂×C₄₇	#2968	1	2	yes	—
207	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
208	C₂×#117	—	47	2	no	—
209	#433	—	94	8	no	—
210	C₂×C₄⋊C₈	—	47	2	no	—
211	C₂×C₄⋊C₈	—	47	2	no	—
212	C₂×C₄⋊C₈	—	47	1	no	—
213	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic
214	C₂×C₂²⋊C₈	—	47	2	no	—
215	C₂×C₂²⋊C₈	—	47	2	no	—
216	C₂×C₂²⋊C₈	C₂×D₄₇	1	2	yes	—
217	C₂×C₂²⋊C₈	C₂×D₄₇	1	2	yes	—
218	C₂×#97	—	47	1	no	—
219	C₂×#97	—	47	1	no	—
220	C₂×#97	—	47	1	no	—
221	C₂×#97	C₂×D₄₇	1	1	yes	characteristic
222	C₂×C₄×C₈	—	47	2	no	—
223	C₂×C₄×C₈	—	47	1	no	—
224	C₂×C₄×C₈	—	47	1	no	—
225	#390	—	47	2	no	—
226	#389	—	47	2	no	—
227	#388	—	47	4	no	—
228	C₄×C₄⋊C₄	—	47	1	no	—
229	C₄×C₂²⋊C₄	—	47	2	no	—
230	C₄³	—	47	1	no	—
231	#336	—	47	2	no	—
232	#336	—	47	2	no	—
233	#336	—	47	2	no	—
234	C₄₇	#21269	1	1	yes	characteristic, complemented, Sylow
235	C₂²×D₄	C₄×D₄₇	1	1	yes	characteristic
236	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
237	C₂²×C₈	—	47	1	no	—
238	C₂²×C₈	—	47	1	no	—
239	C₂²×C₈	—	47	2	no	—
240	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
241	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
242	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
243	C₄×D₄	—	2	2	no	—
244	C₄×D₄	—	2	2	no	—
245	#117	—	94	4	no	—
246	#117	—	94	4	no	—
247	C₂×C₄⋊C₄	—	47	4	no	—
248	C₂×C₄⋊C₄	—	47	2	no	—
249	C₂×C₄⋊C₄	C₄×D₄₇	1	1	yes	characteristic
250	C₂×C₂²⋊C₄	—	47	4	no	—
251	C₂×C₂²⋊C₄	—	47	4	no	—
252	C₂×C₂²⋊C₄	C₄×D₄₇	1	2	yes	—
253	C₂×C₄²	—	47	1	no	—
254	C₂×C₄²	—	47	2	no	—
255	C₂×C₄²	—	47	2	no	—
256	C₂×C₄²	—	47	1	no	—
257	C₂×C₄²	—	47	2	no	—
258	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
259	C₄⋊C₈	—	2	2	no	—
260	C₄⋊C₈	—	94	4	no	—
261	C₄⋊C₈	—	94	4	no	—
262	C₄⋊C₈	—	94	2	no	—
263	C₂²⋊C₈	—	2	4	no	—
264	C₂²⋊C₈	—	2	4	no	—
265	C₂²⋊C₈	—	94	4	no	—
266	C₂²⋊C₈	—	94	4	no	—
267	#97	—	2	2	no	—
268	#97	—	47	4	no	—
269	#97	—	94	2	no	—
270	#97	—	94	2	no	—
271	C₄×C₈	—	94	4	no	—
272	C₄×C₈	—	94	2	no	—
273	C₄×C₈	—	94	2	no	—
274	#95	—	47	4	no	—
275	#95	—	47	2	no	—
276	C₂⁴	C₂×C₄×D₄₇	1	2	yes	—
277	C₂×D₄	—	2	2	no	—
278	C₂×D₄	—	4	2	no	—
279	C₂²×C₄	—	2	2	no	—
280	C₂²×C₄	—	2	2	no	—
281	C₂²×C₄	—	2	2	no	—
282	C₂²×C₄	—	2	2	no	—
283	C₂²×C₄	—	2	2	no	—
284	C₂²×C₄	—	2	2	no	—
285	C₂²×C₄	—	47	2	no	—
286	C₂²×C₄	—	47	2	no	—
287	C₂²×C₄	—	47	4	no	—
288	C₂²×C₄	C₂×C₄×D₄₇	1	2	yes	—
289	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
290	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
291	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
292	C₂×C₈	—	2	1	no	—
293	C₂×C₈	—	2	1	no	—
294	C₂×C₈	—	2	1	no	—
295	C₂×C₈	—	2	1	no	—
296	C₂×C₈	—	2	2	no	—
297	C₂×C₈	—	2	2	no	—
298	C₂×C₈	—	2	2	no	—
299	C₂×C₈	—	47	2	no	—
300	C₂×C₈	—	47	2	no	—
301	C₂×C₈	—	94	1	no	—
302	C₂×C₈	—	94	1	no	—
303	C₂×C₈	—	94	1	no	—
304	C₂×C₈	—	94	1	no	—
305	C₂×C₈	—	94	2	no	—
306	C₂×C₈	—	94	2	no	—
307	C₂×C₈	—	94	2	no	—
308	C₂×C₈	D₄×D₄₇	1	2	yes	—
309	C₂×C₈	#10625352	1	2	yes	—
310	C₄⋊C₄	—	2	2	no	—
311	C₄⋊C₄	—	94	8	no	—
312	C₄⋊C₄	—	188	2	no	—
313	C₂²⋊C₄	—	2	4	no	—
314	C₂²⋊C₄	—	94	8	no	—
315	C₂²⋊C₄	—	94	8	no	—
316	C₄²	—	47	2	no	—
317	C₄²	—	47	2	no	—
318	C₄²	—	94	4	no	—
319	C₄²	—	94	2	no	—
320	C₄²	—	94	1	no	—
321	C₄²	—	94	2	no	—
322	C₄²	—	94	1	no	—
323	C₄²	—	188	2	no	—
324	C₄²	#10625352	1	2	yes	—
325	C₄²	#10625352	1	2	yes	—
326	C₂³	—	2	2	no	—
327	C₂³	—	2	2	no	—
328	C₂³	—	2	2	no	—
329	C₂³	—	2	4	no	—
330	C₂³	—	2	4	no	—
331	C₂³	C₂²×C₄×D₄₇	1	1	yes	characteristic
332	D₄	—	4	4	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	2	2	no	—
335	C₂×C₄	—	2	2	no	—
336	C₂×C₄	—	2	2	no	—
337	C₂×C₄	—	2	2	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	2	no	—
342	C₂×C₄	—	47	4	no	—
343	C₂×C₄	—	47	4	no	—
344	C₂×C₄	—	94	2	no	—
345	C₂×C₄	—	94	2	no	—
346	C₂×C₄	—	94	2	no	—
347	C₂×C₄	—	94	2	no	—
348	C₂×C₄	—	94	4	no	—
349	C₂×C₄	—	94	4	no	—
350	C₂×C₄	—	94	4	no	—
351	C₂×C₄	#13093980	1	2	yes	—
352	C₂×C₄	#13093980	1	2	yes	—
353	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
354	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
355	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
356	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
357	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
358	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
359	C₈	—	2	2	no	—
360	C₈	—	2	2	no	—
361	C₈	—	4	2	no	—
362	C₈	—	94	2	no	—
363	C₈	—	94	2	no	—
364	C₈	—	188	2	no	—
365	C₂²	—	4	2	no	—
366	C₂²	—	4	2	no	—
367	C₂²	—	4	2	no	—
368	C₂²	—	4	4	no	—
369	C₂²	—	4	4	no	—
370	C₂²	C₂×#13093980	1	1	yes	characteristic
371	C₂²	C₄×D₄×D₄₇	1	1	yes	characteristic
372	C₂²	C₄×#10625352	1	1	yes	characteristic
373	C₂²	#131×D₄₇	1	2	yes	—
374	C₂²	#15689889	1	2	yes	—
375	C₄	—	2	2	no	—
376	C₄	—	2	2	no	—
377	C₄	—	4	2	no	—
378	C₄	—	94	4	no	—
379	C₄	—	94	4	no	—
380	C₄	—	188	4	no	—
381	C₄	#15689652	1	1	yes	characteristic
382	C₄	#15689654	1	1	yes	characteristic
383	C₄	#15689668	1	1	yes	characteristic
384	C₄	#15689671	1	1	yes	characteristic
385	C₂	—	8	2	no	—
386	C₂	#20245850	1	1	yes	characteristic
387	C₂	#20252023	1	1	yes	characteristic
388	C₂	#20252028	1	1	yes	characteristic
389	C₂	#20252129	1	2	yes	—
390	C₂	#20252379	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²×C₄	C₂³×D₄₇
commutator, socle	C₂³×C₄₇	C₂³×C₄
Fitting	C₄₇×#1955	C₂
prime radical	C₂²×D₄×C₄₇	C₂×C₄
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	#1955	D₄₇
hypocenter	C₄₇	#21269
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂²×C₄ ◁ #1955

Complements

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

N	H ≅ G/N	type
1. C₂×#15689181	C₂	semidirect
4. #20244111	C₂	semidirect
5. #20244109	C₂	semidirect
6. #20243997	C₂	semidirect
7. #20243991	C₂	semidirect
8. C₄⋊C₈×Dic₄₇	C₂	semidirect
9. #20243156	C₂	semidirect
10. #97×Dic₄₇	C₂	semidirect
60. #13093934	D₄	semidirect
234. C₄₇	#21269	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689181	2
#20245853	2
#20244187	2
#20244111	2
#20244109	2
#20243997	2
#20243991	2
C₄⋊C₈×Dic₄₇	2
#20243156	2
#97×Dic₄₇	2
C₄₇×#1955	2
#21269	47