Subgroups — #26185542

Order 12032.

588 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	#20252054	C₂	1	2	yes	maximal
2	#20242177	C₂	1	2	yes	maximal, complemented
3	#20242173	C₂	1	2	yes	maximal, complemented
4	#20242168	C₂	1	2	yes	maximal, complemented
5	#20242155	C₂	1	2	yes	maximal, complemented
6	#20242151	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242140	C₂	1	2	yes	maximal, complemented
8	#20242136	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₇×#2965	C₂	1	1	yes	maximal, characteristic
10	#15689184	—	2	2	no	—
11	#15689184	—	2	2	no	—
12	#15689180	C₂²	1	2	yes	—
13	#15689180	C₂²	1	2	yes	—
14	#15689176	C₂²	1	2	yes	—
15	#15689176	C₂²	1	2	yes	—
16	#15689147	C₂²	1	2	yes	—
17	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	2	yes	—
18	#15689090	—	2	2	no	—
19	#15689079	—	2	2	no	—
20	#15688876	C₂²	1	2	yes	—
21	#15688876	C₂²	1	2	yes	—
22	#15688876	C₂²	1	2	yes	—
23	#15688876	C₂²	1	2	yes	—
24	#15688874	C₂²	1	1	yes	characteristic
25	#15688874	C₂²	1	2	yes	—
26	#15688874	C₂²	1	1	yes	characteristic
27	#15688874	C₂²	1	1	yes	characteristic
28	#15688874	C₂²	1	2	yes	—
29	#15688874	C₂²	1	1	yes	characteristic
30	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
31	C₄₇×#446	C₄	1	1	yes	characteristic
32	C₄₇×#446	C₄	1	1	yes	characteristic
33	C₄₇×#436	C₄	1	1	yes	characteristic
34	C₄₇×#436	C₄	1	1	yes	characteristic
35	C₄₇×#435	C₄	1	2	yes	—
36	C₄₇×#435	C₄	1	2	yes	—
37	C₄₇×#431	C₂²	1	2	yes	—
38	C₄₇×#431	C₂²	1	1	yes	characteristic
39	C₄×M₁₆×C₄₇	C₂²	1	2	yes	—
40	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
41	C₂×#10625329	—	2	2	no	—
42	C₂²×C₄₇⋊C₈	—	2	2	no	—
43	C₄⋊(C₄₇⋊C₈)	—	2	2	no	—
44	C₄⋊(C₄₇⋊C₈)	—	2	2	no	—
45	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
46	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
47	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
48	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
49	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
50	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
51	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
52	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
53	#13093935	—	2	2	no	—
54	#13093935	—	2	2	no	—
55	C₄×C₄₇⋊C₈	—	2	2	no	—
56	C₄×C₄₇⋊C₈	—	2	2	no	—
57	C₂×#41×C₄₇	D₄	1	1	yes	characteristic
58	C₂×M₁₆×C₄₇	C₂×C₄	1	2	yes	—
59	C₂×M₁₆×C₄₇	C₂×C₄	1	2	yes	—
60	C₂²×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
61	C₂²×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
62	C₄×Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
63	C₄×Q₈×C₄₇	Q₈	1	1	yes	characteristic
64	C₄×D₄×C₄₇	C₂×C₄	1	2	yes	—
65	C₄×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
66	C₄×D₄×C₄₇	Q₈	1	2	yes	—
67	C₄×D₄×C₄₇	Q₈	1	1	yes	characteristic
68	#117×C₄₇	D₄	1	2	yes	—
69	#117×C₄₇	D₄	1	1	yes	characteristic
70	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
71	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
72	C₄⋊C₈×C₄₇	C₂×C₄	1	2	yes	—
73	C₄⋊C₈×C₄₇	C₂×C₄	1	2	yes	—
74	C₄⋊C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
75	C₄⋊C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
76	C₂²⋊C₈×C₄₇	C₂×C₄	1	2	yes	—
77	C₂²⋊C₈×C₄₇	C₂×C₄	1	2	yes	—
78	C₂²⋊C₈×C₄₇	C₂×C₄	1	2	yes	—
79	#97×C₄₇	C₂×C₄	1	2	yes	—
80	#97×C₄₇	C₂×C₄	1	2	yes	—
81	C₄×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
82	C₄×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
83	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
84	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
85	C₄×C₈×C₄₇	C₂³	1	2	yes	—
86	#41×C₄₇	—	4	2	no	—
87	C₂×Q₈×C₄₇	C₄⋊C₄	1	1	yes	characteristic
88	C₂×D₄×C₄₇	C₄⋊C₄	1	2	yes	—
89	C₂×D₄×C₄₇	C₄⋊C₄	1	1	yes	characteristic
90	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
91	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
92	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
94	C₂²×C₄×C₄₇	C₂×Q₈	1	2	yes	—
95	C₂²×C₄×C₄₇	C₂×Q₈	1	1	yes	characteristic
96	M₁₆×C₄₇	—	2	4	no	—
97	M₁₆×C₄₇	—	4	2	no	—
98	C₂×C₈×C₄₇	—	2	2	no	—
99	C₂×C₈×C₄₇	—	4	1	no	—
100	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
101	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
102	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
103	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
104	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
105	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
106	C₄⋊C₄×C₄₇	C₄⋊C₄	1	2	yes	—
107	C₄⋊C₄×C₄₇	C₄⋊C₄	1	1	yes	characteristic
108	C₄⋊C₄×C₄₇	C₄⋊C₄	1	2	yes	—
109	C₄⋊C₄×C₄₇	C₄⋊C₄	1	1	yes	characteristic
110	C₂²⋊C₄×C₄₇	C₄⋊C₄	1	2	yes	—
111	C₂²⋊C₄×C₄₇	C₄⋊C₄	1	2	yes	—
112	C₂²⋊C₄×C₄₇	C₄⋊C₄	1	2	yes	—
113	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
114	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
115	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₄₇	C₂×D₄	1	2	yes	—
117	C₄²×C₄₇	C₂×Q₈	1	2	yes	—
118	C₄²×C₄₇	C₂×Q₈	1	1	yes	characteristic
119	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
120	#10625329	—	4	4	no	—
121	C₂×C₄₇⋊C₈	—	2	2	no	—
122	C₂×C₄₇⋊C₈	—	2	2	no	—
123	C₂×C₄₇⋊C₈	—	2	2	no	—
124	C₂×C₄₇⋊C₈	—	2	2	no	—
125	C₂×C₄₇⋊C₈	—	4	4	no	—
126	C₂³×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
127	C₂³×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
128	Q₈×C₄₇	—	4	1	no	—
129	D₄×C₄₇	—	4	2	no	—
130	D₄×C₄₇	—	4	1	no	—
131	C₂×C₄×C₄₇	—	2	1	no	—
132	C₂×C₄×C₄₇	—	2	2	no	—
133	C₂×C₄×C₄₇	—	2	1	no	—
134	C₂×C₄×C₄₇	—	2	2	no	—
135	C₂×C₄×C₄₇	—	2	2	no	—
136	C₂×C₄×C₄₇	—	2	2	no	—
137	C₂×C₄×C₄₇	—	2	2	no	—
138	C₂×C₄×C₄₇	—	4	2	no	—
139	C₂×C₄×C₄₇	—	4	1	no	—
140	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
141	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
142	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
143	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
144	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
145	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
146	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
147	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
148	C₂×C₄×C₄₇	C₂²×Q₈	1	1	yes	characteristic
149	C₈×C₄₇	—	2	1	no	—
150	C₈×C₄₇	—	2	2	no	—
151	C₈×C₄₇	—	2	1	no	—
152	C₈×C₄₇	—	2	1	no	—
153	C₈×C₄₇	—	2	2	no	—
154	C₈×C₄₇	#131	1	2	yes	—
155	C₄₇⋊C₈	—	4	2	no	—
156	C₄₇⋊C₈	—	4	2	no	—
157	C₄₇⋊C₈	—	4	2	no	—
158	C₄₇⋊C₈	—	4	2	no	—
159	#17831	—	47	1	no	maximal, Sylow
160	C₂²×C₄₇	—	2	1	no	—
161	C₂²×C₄₇	—	2	2	no	—
162	C₂²×C₄₇	—	2	2	no	—
163	C₂²×C₄₇	—	2	1	no	—
164	C₂²×C₄₇	—	2	1	no	—
165	C₂²×C₄₇	—	2	2	no	—
166	C₂²×C₄₇	C₂²×C₄⋊C₄	1	1	yes	characteristic
167	C₄×C₄₇	—	2	1	no	—
168	C₄×C₄₇	—	2	2	no	—
169	C₄×C₄₇	—	2	2	no	—
170	C₄×C₄₇	—	2	1	no	—
171	C₄×C₄₇	—	2	1	no	—
172	C₄×C₄₇	—	2	1	no	—
173	C₄×C₄₇	—	2	2	no	—
174	C₄×C₄₇	C₂×#131	1	1	yes	characteristic
175	C₄×C₄₇	#568	1	1	yes	characteristic
176	C₄×C₄₇	#575	1	2	yes	—
177	#2965	D₄₇	1	1	yes	characteristic
178	#2925	—	47	2	no	—
179	#1574	—	47	2	no	—
180	#1573	—	47	2	no	—
181	#1572	—	47	2	no	—
182	#1569	—	47	2	no	—
183	#1568	—	47	1	no	—
184	#1565	—	47	2	no	—
185	#1564	—	47	1	no	—
186	C₂×C₄₇	—	4	1	no	—
187	C₂×C₄₇	—	4	2	no	—
188	C₂×C₄₇	#2906	1	1	yes	characteristic
189	C₂×C₄₇	#2911	1	1	yes	characteristic
190	C₂×C₄₇	#2916	1	1	yes	characteristic
191	C₄×#41	C₂×D₄₇	1	1	yes	characteristic
192	#446	Dic₄₇	1	1	yes	characteristic
193	#446	Dic₄₇	1	1	yes	characteristic
194	#436	Dic₄₇	1	1	yes	characteristic
195	#436	Dic₄₇	1	1	yes	characteristic
196	#435	Dic₄₇	1	2	yes	—
197	#435	Dic₄₇	1	2	yes	—
198	#433	—	94	2	no	—
199	#433	—	94	2	no	—
200	#432	—	47	2	no	—
201	#432	—	47	2	no	—
202	#431	—	47	2	no	—
203	#431	—	47	2	no	—
204	#431	C₂×D₄₇	1	1	yes	characteristic
205	#431	C₂×D₄₇	1	2	yes	—
206	#423	—	47	2	no	—
207	C₂×C₄⋊C₈	—	47	2	no	—
208	#408	—	94	2	no	—
209	#405	—	94	2	no	—
210	C₄×M₁₆	C₂×D₄₇	1	2	yes	—
211	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
212	#335	—	47	2	no	—
213	#335	—	47	2	no	—
214	#335	—	47	2	no	—
215	#335	—	47	2	no	—
216	#334	—	47	1	no	—
217	#334	—	47	1	no	—
218	#334	—	47	2	no	—
219	#334	—	47	1	no	—
220	#334	—	47	1	no	—
221	#334	—	47	2	no	—
222	C₄₇	#17831	1	1	yes	characteristic, complemented, Sylow
223	C₂×#41	D₁₈₈	1	1	yes	characteristic
224	C₂×M₁₆	—	94	2	no	—
225	C₂×M₁₆	C₂×Dic₄₇	1	2	yes	—
226	C₂×M₁₆	C₂×Dic₄₇	1	2	yes	—
227	C₂²×C₈	—	94	2	no	—
228	C₂²×C₈	C₂×Dic₄₇	1	1	yes	characteristic
229	C₂²×C₈	C₂×Dic₄₇	1	1	yes	characteristic
230	C₄×Q₈	Dic₉₄	1	1	yes	characteristic
231	C₄×Q₈	C₂×Dic₄₇	1	1	yes	characteristic
232	C₄×D₄	Dic₉₄	1	1	yes	characteristic
233	C₄×D₄	Dic₉₄	1	2	yes	—
234	C₄×D₄	C₂×Dic₄₇	1	2	yes	—
235	C₄×D₄	C₂×Dic₄₇	1	1	yes	characteristic
236	#117	D₁₈₈	1	2	yes	—
237	#117	D₁₈₈	1	1	yes	characteristic
238	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
239	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
240	C₄⋊C₈	—	47	2	no	—
241	C₄⋊C₈	—	47	2	no	—
242	C₄⋊C₈	—	47	2	no	—
243	C₄⋊C₈	—	47	2	no	—
244	C₄⋊C₈	—	94	2	no	—
245	C₄⋊C₈	—	94	2	no	—
246	C₄⋊C₈	C₂×Dic₄₇	1	2	yes	—
247	C₄⋊C₈	C₂×Dic₄₇	1	2	yes	—
248	C₄⋊C₈	C₂×Dic₄₇	1	1	yes	characteristic
249	C₄⋊C₈	C₂×Dic₄₇	1	1	yes	characteristic
250	C₂²⋊C₈	—	94	2	no	—
251	C₂²⋊C₈	—	94	2	no	—
252	C₂²⋊C₈	—	94	2	no	—
253	C₂²⋊C₈	—	94	2	no	—
254	C₂²⋊C₈	C₂×Dic₄₇	1	2	yes	—
255	C₂²⋊C₈	C₂×Dic₄₇	1	2	yes	—
256	C₂²⋊C₈	C₂×Dic₄₇	1	2	yes	—
257	#97	—	94	2	no	—
258	#97	—	94	2	no	—
259	#97	C₂×Dic₄₇	1	2	yes	—
260	#97	C₂×Dic₄₇	1	2	yes	—
261	C₄×C₈	—	94	2	no	—
262	C₄×C₈	—	94	2	no	—
263	C₄×C₈	C₂×Dic₄₇	1	1	yes	characteristic
264	C₄×C₈	C₂×Dic₄₇	1	1	yes	characteristic
265	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
266	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
267	C₄×C₈	C₂²×D₄₇	1	2	yes	—
268	#41	—	4	2	no	—
269	C₂×Q₈	C₄⋊Dic₄₇	1	1	yes	characteristic
270	C₂×D₄	C₄⋊Dic₄₇	1	2	yes	—
271	C₂×D₄	C₄⋊Dic₄₇	1	1	yes	characteristic
272	C₂²×C₄	C₂×Dic₉₄	1	1	yes	characteristic
273	C₂²×C₄	C₂×Dic₉₄	1	2	yes	—
274	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
275	C₂²×C₄	C₂×D₁₈₈	1	2	yes	—
276	C₂²×C₄	C₂²×Dic₄₇	1	1	yes	characteristic
277	C₂²×C₄	C₂²×Dic₄₇	1	2	yes	—
278	M₁₆	—	2	4	no	—
279	M₁₆	—	4	2	no	—
280	M₁₆	—	188	4	no	—
281	C₂×C₈	—	2	2	no	—
282	C₂×C₈	—	4	1	no	—
283	C₂×C₈	—	94	2	no	—
284	C₂×C₈	—	94	2	no	—
285	C₂×C₈	—	94	2	no	—
286	C₂×C₈	—	94	2	no	—
287	C₂×C₈	—	188	4	no	—
288	C₂×C₈	C₂²×Dic₄₇	1	1	yes	characteristic
289	C₂×C₈	C₂²×Dic₄₇	1	1	yes	characteristic
290	C₂×C₈	C₂²×Dic₄₇	1	1	yes	characteristic
291	C₂×C₈	C₂²×Dic₄₇	1	2	yes	—
292	C₂×C₈	C₂²×Dic₄₇	1	2	yes	—
293	C₂×C₈	C₂²×Dic₄₇	1	1	yes	characteristic
294	C₄⋊C₄	C₄⋊Dic₄₇	1	2	yes	—
295	C₄⋊C₄	C₄⋊Dic₄₇	1	1	yes	characteristic
296	C₄⋊C₄	C₄⋊Dic₄₇	1	2	yes	—
297	C₄⋊C₄	C₄⋊Dic₄₇	1	1	yes	characteristic
298	C₂²⋊C₄	C₄⋊Dic₄₇	1	2	yes	—
299	C₂²⋊C₄	C₄⋊Dic₄₇	1	2	yes	—
300	C₂²⋊C₄	C₄⋊Dic₄₇	1	2	yes	—
301	C₄²	C₂×Dic₉₄	1	1	yes	characteristic
302	C₄²	C₂×Dic₉₄	1	2	yes	—
303	C₄²	C₂×D₁₈₈	1	1	yes	characteristic
304	C₄²	C₂×D₁₈₈	1	2	yes	—
305	C₄²	C₂²×Dic₄₇	1	1	yes	characteristic
306	C₄²	C₂²×Dic₄₇	1	2	yes	—
307	C₄²	C₂³×D₄₇	1	1	yes	characteristic
308	C₂³	C₂×C₄⋊Dic₄₇	1	1	yes	characteristic
309	C₂³	C₂×C₄⋊Dic₄₇	1	2	yes	—
310	Q₈	—	4	1	no	—
311	D₄	—	4	2	no	—
312	D₄	—	4	1	no	—
313	C₂×C₄	—	2	1	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	4	1	no	—
321	C₂×C₄	—	4	2	no	—
322	C₂×C₄	C₂×C₄⋊Dic₄₇	1	1	yes	characteristic
323	C₂×C₄	C₂×C₄⋊Dic₄₇	1	2	yes	—
324	C₂×C₄	C₂×C₄⋊Dic₄₇	1	1	yes	characteristic
325	C₂×C₄	C₂×C₄⋊Dic₄₇	1	2	yes	—
326	C₂×C₄	C₂×C₄⋊Dic₄₇	1	1	yes	characteristic
327	C₂×C₄	C₂×C₄⋊Dic₄₇	1	2	yes	—
328	C₂×C₄	C₂³×Dic₄₇	1	1	yes	characteristic
329	C₂×C₄	C₂²×D₁₈₈	1	1	yes	characteristic
330	C₂×C₄	C₂²×Dic₉₄	1	1	yes	characteristic
331	C₈	—	2	1	no	—
332	C₈	—	2	2	no	—
333	C₈	—	2	1	no	—
334	C₈	—	2	1	no	—
335	C₈	—	2	2	no	—
336	C₈	—	188	2	no	—
337	C₈	—	188	2	no	—
338	C₈	—	188	2	no	—
339	C₈	—	188	2	no	—
340	C₈	#13094031	1	2	yes	—
341	C₂²	—	2	1	no	—
342	C₂²	—	2	2	no	—
343	C₂²	—	2	2	no	—
344	C₂²	—	2	1	no	—
345	C₂²	—	2	1	no	—
346	C₂²	—	2	2	no	—
347	C₂²	C₂²×C₄⋊Dic₄₇	1	1	yes	characteristic
348	C₄	—	2	1	no	—
349	C₄	—	2	2	no	—
350	C₄	—	2	2	no	—
351	C₄	—	2	1	no	—
352	C₄	—	2	1	no	—
353	C₄	—	2	1	no	—
354	C₄	—	2	2	no	—
355	C₄	C₂×#13094031	1	1	yes	characteristic
356	C₄	#15689890	1	1	yes	characteristic
357	C₄	#15689923	1	2	yes	—
358	C₂	—	4	1	no	—
359	C₂	—	4	2	no	—
360	C₂	#20251956	1	1	yes	characteristic
361	C₂	#20251978	1	1	yes	characteristic
362	C₂	#20251999	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×D₁₈₈
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#2965	C₂
socle	C₂²×C₄₇	C₂²×C₄⋊C₄
prime radical	C₂×#41×C₄₇	D₄
cosocle	C₄²×C₄₇	C₂⁴
hypercenter	#2965	D₄₇
hypocenter	C₄₇	#17831
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₄×#41 ◁ #2965

Complements

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

N	H ≅ G/N	type
2. #20242177	C₂	semidirect
3. #20242173	C₂	semidirect
4. #20242168	C₂	semidirect
5. #20242155	C₂	semidirect
6. #20242151	C₂	semidirect
7. #20242140	C₂	semidirect
8. #20242136	C₂	semidirect
222. C₄₇	#17831	semidirect

Maximal subgroups

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

subgroup	index
#20252054	2
#20242177	2
#20242173	2
#20242168	2
#20242155	2
#20242151	2
#20242140	2
#20242136	2
C₄₇×#2965	2
#17831	47