Subgroups — #26199714

Order 12032.

562 conjugacy classes of subgroups.

The subgroup lattice has 414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20254563	C₂	1	2	yes	maximal
2	#20253974	C₂	1	1	yes	maximal, characteristic, complemented
3	#20242916	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242911	C₂	1	1	yes	maximal, characteristic, complemented
5	#20242882	C₂	1	1	yes	maximal, characteristic, complemented
6	#20242877	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242846	C₂	1	2	yes	maximal, complemented
8	#20242839	C₂	1	2	yes	maximal, complemented
9	#20242136	C₂	1	1	yes	maximal, characteristic, complemented
10	#20242099	C₂	1	2	yes	maximal, complemented
11	C₄₇×#2966	C₂	1	1	yes	maximal, characteristic
12	#15689680	C₂²	1	2	yes	—
13	#15689528	C₂²	1	1	yes	characteristic
14	#15689522	—	2	2	no	—
15	#15689503	C₂²	1	1	yes	characteristic
16	#15689477	—	2	2	no	—
17	#15689474	C₂²	1	2	yes	—
18	#15689461	—	2	2	no	—
19	#15689444	—	2	2	no	—
20	#15689418	C₂²	1	2	yes	—
21	#15689413	C₂²	1	2	yes	—
22	#15689408	C₂²	1	2	yes	—
23	#15689403	C₂²	1	2	yes	—
24	#15689364	—	2	1	no	—
25	#15689364	—	2	1	no	—
26	C₄×Dic₁₈₈	—	2	1	no	—
27	C₄×Dic₁₈₈	—	2	1	no	—
28	#15689176	C₂²	1	2	yes	—
29	#15688876	C₂²	1	2	yes	—
30	#15688874	C₂²	1	1	yes	characteristic
31	#15688874	C₂²	1	1	yes	characteristic
32	#15688871	C₂²	1	2	yes	—
33	#15688871	C₂²	1	2	yes	—
34	#15688870	C₂²	1	2	yes	—
35	#15688870	C₂²	1	2	yes	—
36	C₄₇×#529	C₂²	1	1	yes	characteristic
37	C₄₇×#446	C₂²	1	1	yes	characteristic
38	C₈×Q₈×C₄₇	C₂²	1	1	yes	characteristic
39	C₄₇×#436	C₂²	1	1	yes	characteristic
40	C₄₇×#435	—	2	1	no	—
41	C₈×D₄×C₄₇	—	2	1	no	—
42	C₈×D₄×C₄₇	C₂²	1	1	yes	characteristic
43	C₄₇×#433	—	2	1	no	—
44	C₄₇×#432	C₂²	1	1	yes	characteristic
45	C₄₇×#405	—	2	1	no	—
46	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
47	C₂×Dic₁₈₈	—	2	1	no	—
48	C₂×Dic₁₈₈	—	2	1	no	—
49	#13094024	C₂³	1	2	yes	—
50	#13094024	C₂³	1	2	yes	—
51	#13094016	—	2	2	no	—
52	#13094003	—	2	2	no	—
53	#13094003	—	2	2	no	—
54	C₄×Dic₉₄	—	2	2	no	—
55	C₄×Dic₉₄	—	2	2	no	—
56	#13093983	—	2	2	no	—
57	#13093958	—	2	1	no	—
58	#13093958	—	2	1	no	—
59	#13093957	—	2	2	no	—
60	#13093957	—	2	2	no	—
61	#13093955	—	2	2	no	—
62	#13093955	—	2	2	no	—
63	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
64	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
65	#13093949	—	2	2	no	—
66	#13093949	—	2	2	no	—
67	#13093948	—	2	2	no	—
68	#13093948	—	2	2	no	—
69	#13093945	—	2	2	no	—
70	#13093945	—	2	2	no	—
71	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
72	C₄×C₄₇⋊C₈	—	2	2	no	—
73	C₂×M₁₆×C₄₇	—	2	1	no	—
74	C₂²×C₈×C₄₇	—	2	1	no	—
75	C₂²×C₈×C₄₇	D₄	1	1	yes	characteristic
76	C₂²×C₈×C₄₇	D₄	1	1	yes	characteristic
77	#126×C₄₇	—	2	1	no	—
78	#125×C₄₇	D₄	1	1	yes	characteristic
79	#124×C₄₇	D₄	1	1	yes	characteristic
80	#123×C₄₇	—	2	1	no	—
81	C₂²⋊Q₈×C₄₇	D₄	1	1	yes	characteristic
82	#121×C₄₇	D₄	1	1	yes	characteristic
83	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
84	C₄×D₄×C₄₇	—	2	1	no	—
85	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
86	#117×C₄₇	—	2	1	no	—
87	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
88	C₄⋊C₈×C₄₇	—	2	1	no	—
89	C₄⋊C₈×C₄₇	—	2	1	no	—
90	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
91	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
92	C₂²⋊C₈×C₄₇	—	2	1	no	—
93	C₂²⋊C₈×C₄₇	—	2	1	no	—
94	C₂²⋊C₈×C₄₇	—	2	1	no	—
95	#97×C₄₇	—	2	1	no	—
96	#97×C₄₇	—	2	1	no	—
97	C₄×C₈×C₄₇	—	2	1	no	—
98	C₄×C₈×C₄₇	D₄	1	1	yes	characteristic
99	C₄×C₈×C₄₇	D₄	1	1	yes	characteristic
100	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
101	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
102	C₂×Q₈×C₄₇	C₂×D₄	1	1	yes	characteristic
103	C₂×D₄×C₄₇	—	2	1	no	—
104	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
105	C₂²×C₄×C₄₇	—	2	1	no	—
106	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
107	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
108	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
109	C₂×Dic₉₄	—	2	2	no	—
110	C₂×Dic₉₄	—	2	2	no	—
111	M₁₆×C₄₇	—	4	2	no	—
112	C₂×C₈×C₄₇	—	2	2	no	—
113	C₂×C₈×C₄₇	—	2	1	no	—
114	C₂×C₈×C₄₇	—	2	1	no	—
115	C₂×C₈×C₄₇	—	4	1	no	—
116	C₂×C₈×C₄₇	—	4	2	no	—
117	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
118	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
119	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
120	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
121	C₄⋊C₄×C₄₇	—	2	1	no	—
122	C₄⋊C₄×C₄₇	—	2	1	no	—
123	C₄⋊C₄×C₄₇	—	2	1	no	—
124	C₄⋊C₄×C₄₇	—	2	1	no	—
125	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
126	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
127	C₂²⋊C₄×C₄₇	—	2	1	no	—
128	C₂²⋊C₄×C₄₇	—	2	1	no	—
129	C₂²⋊C₄×C₄₇	—	2	1	no	—
130	C₂²⋊C₄×C₄₇	—	2	1	no	—
131	C₂²⋊C₄×C₄₇	—	2	1	no	—
132	C₄²×C₄₇	—	2	1	no	—
133	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
134	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
135	C₄²×C₄₇	#41	1	1	yes	characteristic
136	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
137	C₂²⋊Dic₄₇	—	4	2	no	—
138	C₄⋊Dic₄₇	—	2	2	no	—
139	C₄⋊Dic₄₇	—	2	2	no	—
140	C₄⋊Dic₄₇	—	2	2	no	—
141	C₄⋊Dic₄₇	—	2	2	no	—
142	Dic₄₇⋊C₄	—	4	2	no	—
143	Dic₄₇⋊C₄	—	4	2	no	—
144	C₄×Dic₄₇	—	4	2	no	—
145	C₂×C₄₇⋊C₈	—	2	2	no	—
146	C₂×C₄₇⋊C₈	—	2	2	no	—
147	Dic₁₈₈	—	4	2	no	—
148	Dic₁₈₈	—	4	2	no	—
149	C₂³×C₄₇	—	2	1	no	—
150	C₂³×C₄₇	#121	1	1	yes	characteristic
151	Q₈×C₄₇	—	2	2	no	—
152	D₄×C₄₇	—	2	2	no	—
153	D₄×C₄₇	—	4	2	no	—
154	C₂×C₄×C₄₇	—	2	1	no	—
155	C₂×C₄×C₄₇	—	2	1	no	—
156	C₂×C₄×C₄₇	—	2	2	no	—
157	C₂×C₄×C₄₇	—	2	1	no	—
158	C₂×C₄×C₄₇	—	2	1	no	—
159	C₂×C₄×C₄₇	—	2	1	no	—
160	C₂×C₄×C₄₇	—	4	1	no	—
161	C₂×C₄×C₄₇	—	4	1	no	—
162	C₂×C₄×C₄₇	—	4	1	no	—
163	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
164	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
165	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
166	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
167	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
168	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
169	C₂×Dic₄₇	—	4	2	no	—
170	C₂×Dic₄₇	—	4	2	no	—
171	Dic₉₄	—	4	2	no	—
172	Dic₉₄	—	4	2	no	—
173	Dic₉₄	—	8	2	no	—
174	C₈×C₄₇	—	2	1	no	—
175	C₈×C₄₇	—	2	1	no	—
176	C₈×C₄₇	—	2	1	no	—
177	C₈×C₄₇	—	4	1	no	—
178	C₈×C₄₇	—	4	1	no	—
179	C₈×C₄₇	#135	1	2	yes	—
180	C₄₇⋊C₈	—	4	2	no	—
181	C₄₇⋊C₈	—	4	2	no	—
182	#19226	—	47	1	no	maximal, Sylow
183	C₂²×C₄₇	—	2	1	no	—
184	C₂²×C₄₇	—	2	1	no	—
185	C₂²×C₄₇	—	2	1	no	—
186	C₂²×C₄₇	—	4	1	no	—
187	C₂²×C₄₇	—	4	1	no	—
188	C₂²×C₄₇	—	4	1	no	—
189	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
190	C₄×C₄₇	—	2	1	no	—
191	C₄×C₄₇	—	2	1	no	—
192	C₄×C₄₇	—	2	1	no	—
193	C₄×C₄₇	—	2	1	no	—
194	C₄×C₄₇	—	4	1	no	—
195	C₄×C₄₇	—	4	1	no	—
196	C₄×C₄₇	—	4	1	no	—
197	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
198	C₄×C₄₇	#575	1	1	yes	characteristic
199	C₄×C₄₇	#578	1	2	yes	—
200	Dic₄₇	—	8	2	no	—
201	Dic₄₇	—	8	2	no	—
202	#3233	—	47	2	no	—
203	#3170	—	47	1	no	—
204	#2966	D₄₇	1	1	yes	characteristic
205	#1696	—	47	1	no	—
206	#1695	—	47	1	no	—
207	#1690	—	47	1	no	—
208	#1689	—	47	1	no	—
209	#1684	—	47	2	no	—
210	#1683	—	47	2	no	—
211	#1564	—	47	1	no	—
212	#1554	—	47	2	no	—
213	C₂×C₄₇	—	4	1	no	—
214	C₂×C₄₇	—	8	1	no	—
215	C₂×C₄₇	#3035	1	1	yes	characteristic
216	C₂×C₄₇	#3059	1	1	yes	characteristic
217	C₂×C₄₇	#3067	1	1	yes	characteristic
218	#533	—	47	2	no	—
219	#529	C₂×D₄₇	1	1	yes	characteristic
220	#500	—	47	1	no	—
221	#499	—	94	2	no	—
222	#494	—	47	1	no	—
223	#488	—	94	2	no	—
224	#487	—	47	2	no	—
225	#485	—	94	2	no	—
226	#482	—	94	2	no	—
227	#477	—	47	2	no	—
228	#476	—	47	2	no	—
229	#475	—	47	2	no	—
230	#474	—	47	2	no	—
231	#467	—	94	1	no	—
232	#467	—	94	1	no	—
233	#446	C₂×D₄₇	1	1	yes	characteristic
234	C₈×Q₈	C₂×D₄₇	1	1	yes	characteristic
235	C₄×Q₁₆	—	94	1	no	—
236	C₄×Q₁₆	—	94	1	no	—
237	#436	C₂×D₄₇	1	1	yes	characteristic
238	#435	—	2	1	no	—
239	C₈×D₄	—	2	1	no	—
240	C₈×D₄	C₂×D₄₇	1	1	yes	characteristic
241	#433	—	2	1	no	—
242	#432	C₂×D₄₇	1	1	yes	characteristic
243	#431	—	47	2	no	—
244	#405	—	2	1	no	—
245	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
246	#335	—	47	2	no	—
247	#334	—	47	1	no	—
248	#334	—	47	1	no	—
249	#333	—	47	2	no	—
250	#333	—	47	2	no	—
251	#332	—	47	2	no	—
252	#332	—	47	2	no	—
253	C₄₇	#19226	1	1	yes	characteristic, complemented, Sylow
254	C₂×Q₁₆	—	94	1	no	—
255	C₂×Q₁₆	—	94	1	no	—
256	C₂×M₁₆	—	2	1	no	—
257	C₂²×C₈	—	2	1	no	—
258	C₂²×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
259	C₂²×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
260	C₄⋊Q₈	—	47	2	no	—
261	C₄⋊Q₈	—	47	2	no	—
262	#126	—	2	1	no	—
263	#125	—	94	2	no	—
264	#125	D₁₈₈	1	1	yes	characteristic
265	#124	D₁₈₈	1	1	yes	characteristic
266	#123	—	2	1	no	—
267	C₂²⋊Q₈	—	94	2	no	—
268	C₂²⋊Q₈	—	94	2	no	—
269	C₂²⋊Q₈	D₁₈₈	1	1	yes	characteristic
270	#121	D₁₈₈	1	1	yes	characteristic
271	C₄×Q₈	—	94	2	no	—
272	C₄×Q₈	—	94	2	no	—
273	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
274	C₄×D₄	—	2	1	no	—
275	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
276	#117	—	2	1	no	—
277	#117	—	94	2	no	—
278	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
279	#107	—	94	1	no	—
280	#107	—	94	1	no	—
281	#107	—	94	2	no	—
282	#107	—	94	2	no	—
283	#106	—	94	2	no	—
284	#106	—	94	2	no	—
285	C₄⋊C₈	—	2	1	no	—
286	C₄⋊C₈	—	2	1	no	—
287	C₄⋊C₈	—	47	2	no	—
288	C₄⋊C₈	—	47	2	no	—
289	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
290	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
291	#103	—	94	2	no	—
292	#103	—	94	2	no	—
293	#103	—	94	2	no	—
294	#103	—	94	2	no	—
295	#102	—	94	2	no	—
296	#102	—	94	2	no	—
297	C₂²⋊C₈	—	2	1	no	—
298	C₂²⋊C₈	—	2	1	no	—
299	C₂²⋊C₈	—	2	1	no	—
300	C₂²⋊C₈	—	94	2	no	—
301	#97	—	2	1	no	—
302	#97	—	2	1	no	—
303	C₄×C₈	—	2	1	no	—
304	C₄×C₈	—	94	2	no	—
305	C₄×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
306	C₄×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
307	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
308	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
309	C₂×Q₈	—	94	2	no	—
310	C₂×Q₈	—	94	2	no	—
311	C₂×Q₈	C₂×D₁₈₈	1	1	yes	characteristic
312	C₂×D₄	—	2	1	no	—
313	C₂×D₄	C₂×D₁₈₈	1	1	yes	characteristic
314	C₂²×C₄	—	2	1	no	—
315	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
316	C₂²×C₄	#10625350	1	1	yes	characteristic
317	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
318	Q₁₆	—	188	2	no	—
319	Q₁₆	—	188	2	no	—
320	M₁₆	—	4	2	no	—
321	C₂×C₈	—	2	2	no	—
322	C₂×C₈	—	2	1	no	—
323	C₂×C₈	—	2	1	no	—
324	C₂×C₈	—	4	1	no	—
325	C₂×C₈	—	4	2	no	—
326	C₂×C₈	—	94	2	no	—
327	C₂×C₈	—	94	2	no	—
328	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
329	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
330	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
331	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
332	C₄⋊C₄	—	2	1	no	—
333	C₄⋊C₄	—	2	1	no	—
334	C₄⋊C₄	—	2	1	no	—
335	C₄⋊C₄	—	2	1	no	—
336	C₄⋊C₄	—	94	2	no	—
337	C₄⋊C₄	—	94	2	no	—
338	C₄⋊C₄	—	94	2	no	—
339	C₄⋊C₄	—	94	2	no	—
340	C₄⋊C₄	—	188	2	no	—
341	C₄⋊C₄	—	188	2	no	—
342	C₄⋊C₄	C₂×D₁₈₈	1	1	yes	characteristic
343	C₄⋊C₄	C₂×D₁₈₈	1	1	yes	characteristic
344	C₂²⋊C₄	—	2	1	no	—
345	C₂²⋊C₄	—	2	1	no	—
346	C₂²⋊C₄	—	2	1	no	—
347	C₂²⋊C₄	—	2	1	no	—
348	C₂²⋊C₄	—	2	1	no	—
349	C₂²⋊C₄	—	188	2	no	—
350	C₄²	—	2	1	no	—
351	C₄²	—	188	2	no	—
352	C₄²	C₂×D₁₈₈	1	1	yes	characteristic
353	C₄²	#10625350	1	1	yes	characteristic
354	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
355	C₄²	C₂³×D₄₇	1	1	yes	characteristic
356	C₂³	—	2	1	no	—
357	C₂³	#13093998	1	1	yes	characteristic
358	Q₈	—	2	2	no	—
359	Q₈	—	376	2	no	—
360	Q₈	—	188	2	no	—
361	Q₈	—	188	2	no	—
362	D₄	—	2	2	no	—
363	D₄	—	4	2	no	—
364	C₂×C₄	—	2	1	no	—
365	C₂×C₄	—	2	1	no	—
366	C₂×C₄	—	2	2	no	—
367	C₂×C₄	—	2	1	no	—
368	C₂×C₄	—	2	1	no	—
369	C₂×C₄	—	2	1	no	—
370	C₂×C₄	—	4	1	no	—
371	C₂×C₄	—	4	1	no	—
372	C₂×C₄	—	4	1	no	—
373	C₂×C₄	—	188	2	no	—
374	C₂×C₄	—	188	2	no	—
375	C₂×C₄	#13093998	1	1	yes	characteristic
376	C₂×C₄	#13093998	1	1	yes	characteristic
377	C₂×C₄	#13093998	1	1	yes	characteristic
378	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
379	C₂×C₄	C₂²×D₁₈₈	1	1	yes	characteristic
380	C₂×C₄	C₂×#10625350	1	1	yes	characteristic
381	C₈	—	2	1	no	—
382	C₈	—	2	1	no	—
383	C₈	—	2	1	no	—
384	C₈	—	4	1	no	—
385	C₈	—	4	1	no	—
386	C₈	—	188	2	no	—
387	C₈	—	188	2	no	—
388	C₈	#13094044	1	2	yes	—
389	C₂²	—	2	1	no	—
390	C₂²	—	2	1	no	—
391	C₂²	—	2	1	no	—
392	C₂²	—	4	1	no	—
393	C₂²	—	4	1	no	—
394	C₂²	—	4	1	no	—
395	C₂²	C₂×#13093998	1	1	yes	characteristic
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	4	1	no	—
401	C₄	—	4	1	no	—
402	C₄	—	4	1	no	—
403	C₄	—	376	2	no	—
404	C₄	—	376	2	no	—
405	C₄	C₂×#13094044	1	1	yes	characteristic
406	C₄	#15689921	1	1	yes	characteristic
407	C₄	#15689940	1	2	yes	—
408	C₂	—	4	1	no	—
409	C₂	—	8	1	no	—
410	C₂	#20252843	1	1	yes	characteristic
411	C₂	#20253043	1	1	yes	characteristic
412	C₂	#20253108	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13093998
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#2966	C₂
socle	C₂²×C₄₇	C₂×#121
prime radical	#121×C₄₇	D₄
hypercenter	#2966	D₄₇
hypocenter	C₄₇	#19226
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2966

Complements

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

N	H ≅ G/N	type
2. #20253974	C₂	semidirect
3. #20242916	C₂	semidirect
4. #20242911	C₂	semidirect
5. #20242882	C₂	semidirect
6. #20242877	C₂	semidirect
7. #20242846	C₂	semidirect
8. #20242839	C₂	semidirect
9. #20242136	C₂	semidirect
10. #20242099	C₂	semidirect
253. C₄₇	#19226	semidirect

Maximal subgroups

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

subgroup	index
#20254563	2
#20253974	2
#20242916	2
#20242911	2
#20242882	2
#20242877	2
#20242846	2
#20242839	2
#20242136	2
#20242099	2
C₄₇×#2966	2
#19226	47