Subgroups — #26275196

Order 12032.

690 conjugacy classes of subgroups.

The subgroup lattice has 434 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20253928	C₂	1	1	yes	maximal, characteristic, complemented
2	#20253241	C₂	1	2	yes	maximal
3	#20251985	C₂	1	1	yes	maximal, characteristic
4	#20244893	C₂	1	2	yes	maximal, complemented
5	#20244732	C₂	1	2	yes	maximal, complemented
6	#20244174	C₂	1	1	yes	maximal, characteristic, complemented
7	#20243615	C₂	1	2	yes	maximal
8	#20243548	C₂	1	1	yes	maximal, characteristic, complemented
9	#20243449	C₂	1	1	yes	maximal, characteristic
10	#20243225	C₂	1	1	yes	maximal, characteristic
11	C₄₇×#1945	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13094030	C₂²	1	1	yes	characteristic
13	#15689751	C₂²	1	2	yes	—
14	#15689603	C₂²	1	2	yes	—
15	#15689530	—	2	2	no	—
16	#15689527	—	2	1	no	—
17	#15689524	—	2	1	no	—
18	#15689431	—	2	2	no	—
19	#15689424	—	2	2	no	—
20	#15689419	—	2	2	no	—
21	#15689404	—	2	2	no	—
22	#15689166	C₂²	1	2	yes	—
23	#15689166	C₂²	1	2	yes	—
24	#15689165	C₂²	1	2	yes	—
25	#15689162	—	2	2	no	—
26	#15689160	—	2	1	no	—
27	C₂×#13093958	C₂²	1	2	yes	—
28	C₂×#13093958	C₂²	1	1	yes	characteristic
29	C₂×#13093958	C₂²	1	1	yes	characteristic
30	#107×D₄₇	—	2	1	no	—
31	C₂×#13093952	C₂²	1	1	yes	characteristic
32	#15689125	C₂²	1	2	yes	—
33	#15689120	C₂²	1	1	yes	characteristic
34	#15689078	C₂²	1	1	yes	characteristic
35	#15688993	C₂²	1	2	yes	—
36	#15688891	C₂²	1	2	yes	—
37	#15688891	C₂²	1	2	yes	—
38	#15688888	C₂²	1	1	yes	characteristic
39	#15688883	C₂²	1	1	yes	characteristic
40	C₂×#108×C₄₇	C₂²	1	1	yes	characteristic
41	C₄₇×#427	C₂²	1	1	yes	characteristic
42	C₄₇×#424	C₂²	1	2	yes	—
43	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
44	C₄₇×#339	C₂²	1	2	yes	—
45	C₂×#10625350	C₂³	1	1	yes	characteristic
46	#13094030	—	2	2	no	—
47	#13094030	Q₈	1	4	yes	complemented
48	C₂×#10625329	C₂³	1	1	yes	characteristic
49	C₂×#10625329	C₂³	1	1	yes	characteristic
50	C₂×#10625324	—	2	1	no	—
51	C₂×C₈×D₄₇	—	2	1	no	—
52	#13094024	—	2	2	no	—
53	#13094023	—	2	2	no	—
54	#13094016	—	2	2	no	—
55	#13094015	—	2	2	no	—
56	#13094001	—	4	2	no	—
57	C₄×Dic₉₄	—	2	2	no	—
58	C₄×D₁₈₈	—	2	2	no	—
59	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
60	#13093983	C₂³	1	1	yes	characteristic
61	#13093982	—	2	2	no	—
62	C₂×C₄⋊Dic₄₇	—	4	2	no	—
63	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
64	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
65	C₄⋊C₄×D₄₇	—	2	2	no	—
66	#13093958	—	2	1	no	—
67	#13093958	—	2	1	no	—
68	#13093958	—	2	2	no	—
69	#13093958	—	2	1	no	—
70	#13093958	—	2	1	no	—
71	#13093958	—	2	2	no	—
72	#13093958	—	2	2	no	—
73	#13093957	—	2	2	no	—
74	#13093957	—	2	2	no	—
75	#13093956	—	2	2	no	—
76	#13093955	—	2	2	no	—
77	#13093955	—	2	2	no	—
78	#13093952	Q₈	1	4	yes	complemented
79	#13093949	—	2	2	no	—
80	#13093949	D₄	1	1	yes	characteristic
81	#13093949	D₄	1	1	yes	characteristic
82	#13093946	—	2	2	no	—
83	#13093946	D₄	1	1	yes	characteristic
84	#13093946	D₄	1	1	yes	characteristic
85	#13093934	—	2	1	no	—
86	C₈×Dic₄₇	—	2	1	no	—
87	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
88	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
89	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
90	#117×C₄₇	C₂³	1	2	yes	—
91	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
92	#108×C₄₇	—	2	2	no	—
93	#107×C₄₇	D₄	1	1	yes	characteristic
94	#107×C₄₇	D₄	1	1	yes	characteristic
95	#106×C₄₇	D₄	1	2	yes	—
96	C₄⋊C₈×C₄₇	—	2	2	no	—
97	C₄⋊C₈×C₄₇	—	2	2	no	—
98	C₄×C₈×C₄₇	—	2	2	no	—
99	C₂²×C₄×C₄₇	—	2	1	no	—
100	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
101	C₂×C₂²⋊D₄₇	—	2	1	no	—
102	C₂²×Dic₄₇	—	2	2	no	—
103	C₂²×Dic₄₇	—	2	2	no	—
104	#10625350	—	2	1	no	—
105	#10625350	—	2	1	no	—
106	#10625350	C₂×Q₈	1	2	yes	—
107	#10625350	C₂×Q₈	1	2	yes	—
108	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
109	C₂×C₄×D₄₇	—	2	1	no	—
110	C₂×C₄×D₄₇	—	4	2	no	—
111	C₂×Dic₉₄	—	4	2	no	—
112	C₂×Dic₉₄	C₂×D₄	1	1	yes	characteristic
113	M₁₆×C₄₇	—	2	2	no	—
114	M₁₆×C₄₇	—	2	2	no	—
115	C₂×C₈×C₄₇	—	2	1	no	—
116	C₂×C₈×C₄₇	—	2	1	no	—
117	C₂×C₈×C₄₇	—	2	2	no	—
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	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
122	C₂×C₈×C₄₇	C₂×Q₈	1	2	yes	—
123	C₂×C₈×C₄₇	#41	1	2	yes	—
124	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
125	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
126	C₂²⋊C₄×C₄₇	—	2	2	no	—
127	C₄²×C₄₇	—	2	2	no	—
128	C₄²×C₄₇	—	2	1	no	—
129	C₄²×C₄₇	C₂×Q₈	1	2	yes	—
130	C₂²⋊Dic₄₇	—	2	1	no	—
131	(C₂×D₄₇)⋊C₄	—	4	2	no	—
132	C₄⋊Dic₄₇	—	2	2	no	—
133	C₄⋊Dic₄₇	—	2	2	no	—
134	C₄⋊Dic₄₇	—	2	2	no	—
135	C₄⋊Dic₄₇	—	2	2	no	—
136	C₄⋊Dic₄₇	—	4	2	no	—
137	C₄⋊Dic₄₇	—	8	4	no	—
138	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
139	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
140	Dic₄₇⋊C₄	—	4	2	no	—
141	Dic₄₇⋊C₄	—	4	2	no	—
142	Dic₄₇⋊C₄	—	4	2	no	—
143	C₄×Dic₄₇	—	2	1	no	—
144	C₄×Dic₄₇	—	4	2	no	—
145	#10625329	—	2	1	no	—
146	#10625329	—	2	1	no	—
147	#10625329	C₂×Q₈	1	2	yes	—
148	#10625329	C₂×Q₈	1	2	yes	—
149	C₂×C₄₇⋊C₈	—	2	1	no	—
150	C₂×C₄₇⋊C₈	—	2	1	no	—
151	#10625324	—	2	4	no	—
152	C₈×D₄₇	—	2	4	no	—
153	C₂³×C₄₇	H(5,𝔽₂)	1	1	yes	characteristic
154	C₂²×D₄₇	—	2	1	no	—
155	C₂×C₄×C₄₇	—	2	2	no	—
156	C₂×C₄×C₄₇	—	2	2	no	—
157	C₂×C₄×C₄₇	—	2	2	no	—
158	C₂×C₄×C₄₇	—	2	2	no	—
159	C₂×C₄×C₄₇	—	2	2	no	—
160	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
161	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
162	C₂×C₄×C₄₇	C₂²×Q₈	1	1	yes	characteristic
163	C₂×C₄×C₄₇	C₂²×Q₈	1	1	yes	characteristic
164	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
165	C₂×C₄×C₄₇	2₋¹⁺⁴	1	1	yes	characteristic
166	C₂²⋊D₄₇	—	2	2	no	—
167	C₂²⋊D₄₇	—	2	2	no	—
168	C₂×Dic₄₇	—	2	1	no	—
169	C₂×Dic₄₇	—	2	1	no	—
170	C₂×Dic₄₇	—	2	1	no	—
171	C₂×Dic₄₇	—	4	2	no	—
172	C₂×Dic₄₇	—	4	2	no	—
173	C₂×Dic₄₇	—	8	2	no	—
174	C₂×Dic₄₇	—	8	2	no	—
175	D₁₈₈	—	2	1	no	—
176	D₁₈₈	C₄⋊Q₈	1	2	yes	—
177	C₄×D₄₇	—	2	2	no	—
178	C₄×D₄₇	—	2	2	no	—
179	C₄×D₄₇	—	16	2	no	—
180	Dic₉₄	—	2	1	no	—
181	Dic₉₄	—	16	2	no	—
182	Dic₉₄	C₄⋊Q₈	1	2	yes	—
183	C₈×C₄₇	—	2	1	no	—
184	C₈×C₄₇	—	2	1	no	—
185	C₈×C₄₇	—	4	2	no	—
186	C₈×C₄₇	C₂²⋊Q₈	1	2	yes	—
187	C₈×C₄₇	C₂²⋊Q₈	1	2	yes	—
188	C₄₇⋊C₈	—	2	2	no	—
189	C₄₇⋊C₈	—	2	2	no	—
190	#26083	—	47	1	no	maximal, Sylow
191	C₂²×C₄₇	—	2	1	no	—
192	C₂²×C₄₇	—	2	1	no	—
193	C₂²×C₄₇	#544	1	1	yes	characteristic
194	C₂²×C₄₇	D₄²	1	1	yes	characteristic
195	C₂²×C₄₇	#554	1	1	yes	characteristic
196	C₂×D₄₇	—	2	2	no	—
197	C₂×D₄₇	—	4	1	no	—
198	C₂×D₄₇	—	4	1	no	—
199	C₄×C₄₇	—	2	4	no	—
200	C₄×C₄₇	—	4	2	no	—
201	C₄×C₄₇	—	4	2	no	—
202	C₄×C₄₇	C₂×C₂²⋊Q₈	1	1	yes	characteristic
203	C₄×C₄₇	C₂×C₄⋊Q₈	1	1	yes	characteristic
204	C₄×C₄₇	#547	1	1	yes	characteristic
205	C₄×C₄₇	D₄×Q₈	1	1	yes	characteristic
206	Dic₄₇	—	2	2	no	—
207	Dic₄₇	—	4	1	no	—
208	Dic₄₇	—	4	1	no	—
209	Dic₄₇	—	8	2	no	—
210	Dic₄₇	—	8	2	no	—
211	#3164	—	47	1	no	—
212	#3083	—	47	2	no	—
213	#2913	—	47	1	no	—
214	#2089	—	47	2	no	—
215	#2060	—	47	2	no	—
216	#1952	—	47	1	no	—
217	#1945	D₄₇	1	1	yes	characteristic, complemented
218	#1859	—	47	2	no	—
219	#1845	—	47	1	no	—
220	#1816	—	47	1	no	—
221	#1764	—	47	1	no	—
222	C₂×C₄₇	—	2	1	no	—
223	C₂×C₄₇	—	2	1	no	—
224	C₂×C₄₇	#2440	1	1	yes	characteristic
225	C₂×C₄₇	#3292	1	1	yes	characteristic
226	C₂×C₄₇	#3293	1	1	yes	characteristic
227	D₄₇	—	4	2	no	—
228	C₂×#131	—	47	1	no	—
229	#544	—	47	2	no	—
230	#520	—	47	2	no	—
231	#501	—	94	2	no	—
232	#500	—	94	1	no	—
233	#499	—	94	1	no	—
234	#479	—	94	2	no	—
235	#478	—	94	2	no	—
236	#477	—	94	2	no	—
237	#474	—	94	2	no	—
238	C₂×#108	C₂×D₄₇	1	1	yes	characteristic
239	#428	—	47	2	no	—
240	#428	—	47	2	no	—
241	#428	—	47	2	no	—
242	#428	—	94	2	no	—
243	#427	—	94	1	no	—
244	#427	C₂×D₄₇	1	1	yes	characteristic
245	C₂×#107	—	47	2	no	—
246	C₂×#107	—	47	1	no	—
247	C₂×#107	—	47	1	no	—
248	C₂×#107	—	94	1	no	—
249	#424	C₂×D₄₇	1	2	yes	—
250	C₂×#104	—	47	1	no	—
251	#417	—	47	2	no	—
252	#416	—	47	1	no	—
253	#405	—	47	1	no	—
254	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
255	#384	—	47	2	no	—
256	#343	—	47	2	no	—
257	#343	—	47	2	no	—
258	#341	—	47	1	no	—
259	#339	—	47	1	no	—
260	#339	C₂×D₄₇	1	2	yes	—
261	C₄₇	#26083	1	1	yes	characteristic, complemented, Sylow
262	C₂×#41	—	47	1	no	—
263	#131	—	47	4	no	—
264	#131	—	94	2	no	—
265	C₂×M₁₆	—	47	1	no	—
266	C₂×M₁₆	—	47	1	no	—
267	C₂×M₁₆	—	94	1	no	—
268	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
269	C₂²×C₈	—	94	1	no	—
270	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
271	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
272	C₄⋊Q₈	—	94	2	no	—
273	C₄⋊Q₈	—	94	2	no	—
274	#125	—	94	2	no	—
275	#125	—	94	2	no	—
276	C₂²⋊Q₈	—	188	2	no	—
277	C₄×Q₈	—	94	2	no	—
278	C₄×D₄	—	94	2	no	—
279	C₄×D₄	—	188	2	no	—
280	#117	—	47	1	no	—
281	#117	—	94	2	no	—
282	#117	C₂²×D₄₇	1	2	yes	—
283	C₂×C₄⋊C₄	—	47	2	no	—
284	C₂×C₄⋊C₄	—	47	2	no	—
285	C₂×C₄⋊C₄	—	94	2	no	—
286	C₂×C₄⋊C₄	—	188	2	no	—
287	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
288	#108	—	2	2	no	—
289	#107	—	94	2	no	—
290	#107	—	94	1	no	—
291	#107	—	94	1	no	—
292	#107	—	94	1	no	—
293	#107	—	94	1	no	—
294	#107	—	94	2	no	—
295	#107	—	94	2	no	—
296	#107	—	94	2	no	—
297	#107	—	94	2	no	—
298	#107	D₁₈₈	1	1	yes	characteristic
299	#107	D₁₈₈	1	1	yes	characteristic
300	#106	—	94	2	no	—
301	#106	—	94	2	no	—
302	#106	—	94	2	no	—
303	#106	D₁₈₈	1	2	yes	—
304	C₄⋊C₈	—	2	2	no	—
305	C₄⋊C₈	—	2	2	no	—
306	#104	—	47	4	no	—
307	#103	—	47	1	no	—
308	#103	—	47	1	no	—
309	#103	—	94	2	no	—
310	#102	—	47	1	no	—
311	#102	—	47	1	no	—
312	#102	—	94	2	no	—
313	#97	—	94	1	no	—
314	C₄×C₈	—	2	2	no	—
315	C₄×C₈	—	94	1	no	—
316	#41	—	47	2	no	—
317	#41	—	47	2	no	—
318	#41	—	94	1	no	—
319	#41	—	94	1	no	—
320	C₂×Q₈	—	47	1	no	—
321	C₂×Q₈	—	188	2	no	—
322	C₂×D₄	—	47	1	no	—
323	C₂×D₄	—	94	1	no	—
324	C₂²×C₄	—	2	1	no	—
325	C₂²×C₄	—	94	1	no	—
326	C₂²×C₄	—	94	2	no	—
327	C₂²×C₄	—	94	2	no	—
328	C₂²×C₄	—	188	2	no	—
329	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
330	M₁₆	—	2	2	no	—
331	M₁₆	—	2	2	no	—
332	M₁₆	—	47	2	no	—
333	M₁₆	—	47	2	no	—
334	M₁₆	—	94	1	no	—
335	M₁₆	—	94	1	no	—
336	M₁₆	—	94	4	no	—
337	C₂×C₈	—	2	1	no	—
338	C₂×C₈	—	2	1	no	—
339	C₂×C₈	—	2	2	no	—
340	C₂×C₈	—	94	1	no	—
341	C₂×C₈	—	94	1	no	—
342	C₂×C₈	—	94	4	no	—
343	C₂×C₈	C₂×D₁₈₈	1	1	yes	characteristic
344	C₂×C₈	C₂×D₁₈₈	1	1	yes	characteristic
345	C₂×C₈	D₄×D₄₇	1	1	yes	characteristic
346	C₂×C₈	D₄×D₄₇	1	1	yes	characteristic
347	C₂×C₈	#10625352	1	2	yes	—
348	C₂×C₈	Q₈×D₄₇	1	2	yes	—
349	C₄⋊C₄	—	47	1	no	—
350	C₄⋊C₄	—	47	1	no	—
351	C₄⋊C₄	—	94	2	no	—
352	C₄⋊C₄	—	94	2	no	—
353	C₄⋊C₄	—	94	2	no	—
354	C₄⋊C₄	—	94	2	no	—
355	C₄⋊C₄	—	376	4	no	—
356	C₄⋊C₄	—	188	2	no	—
357	C₄⋊C₄	—	188	2	no	—
358	C₄⋊C₄	—	188	2	no	—
359	C₄⋊C₄	—	188	2	no	—
360	C₄⋊C₄	C₂×D₁₈₈	1	2	yes	—
361	C₄⋊C₄	C₂×D₁₈₈	1	2	yes	—
362	C₂²⋊C₄	—	2	2	no	—
363	C₂²⋊C₄	—	94	1	no	—
364	C₂²⋊C₄	—	188	2	no	—
365	C₄²	—	2	2	no	—
366	C₄²	—	2	1	no	—
367	C₄²	—	94	1	no	—
368	C₄²	—	188	2	no	—
369	C₄²	Q₈×D₄₇	1	2	yes	—
370	C₂³	—	94	1	no	—
371	C₂³	#13094070	1	1	yes	characteristic
372	Q₈	—	47	2	no	—
373	Q₈	—	94	1	no	—
374	Q₈	—	752	2	no	—
375	D₄	—	47	2	no	—
376	D₄	—	94	2	no	—
377	D₄	—	94	2	no	—
378	D₄	—	94	1	no	—
379	C₂×C₄	—	2	2	no	—
380	C₂×C₄	—	2	2	no	—
381	C₂×C₄	—	2	2	no	—
382	C₂×C₄	—	2	2	no	—
383	C₂×C₄	—	2	2	no	—
384	C₂×C₄	—	94	1	no	—
385	C₂×C₄	—	94	2	no	—
386	C₂×C₄	—	94	2	no	—
387	C₂×C₄	—	94	1	no	—
388	C₂×C₄	—	94	1	no	—
389	C₂×C₄	—	376	2	no	—
390	C₂×C₄	—	376	2	no	—
391	C₂×C₄	—	188	2	no	—
392	C₂×C₄	—	188	2	no	—
393	C₂×C₄	—	752	2	no	—
394	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
395	C₂×C₄	C₂²×D₁₈₈	1	1	yes	characteristic
396	C₂×C₄	C₂×Q₈×D₄₇	1	1	yes	characteristic
397	C₂×C₄	C₂×Q₈×D₄₇	1	1	yes	characteristic
398	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
399	C₂×C₄	#13094071	1	1	yes	characteristic
400	C₈	—	2	1	no	—
401	C₈	—	2	1	no	—
402	C₈	—	4	2	no	—
403	C₈	—	94	2	no	—
404	C₈	—	94	2	no	—
405	C₈	#13094004	1	2	yes	—
406	C₈	#13094004	1	2	yes	—
407	C₂²	—	2	1	no	—
408	C₂²	—	2	1	no	—
409	C₂²	—	94	2	no	—
410	C₂²	—	188	1	no	—
411	C₂²	—	188	1	no	—
412	C₂²	#15689753	1	1	yes	characteristic
413	C₂²	D₄×D₁₈₈	1	1	yes	characteristic
414	C₂²	#15689831	1	1	yes	characteristic
415	C₄	—	2	4	no	—
416	C₄	—	4	2	no	—
417	C₄	—	4	2	no	—
418	C₄	—	94	2	no	—
419	C₄	—	376	2	no	—
420	C₄	—	376	2	no	—
421	C₄	—	188	1	no	—
422	C₄	—	188	1	no	—
423	C₄	C₂×#13094004	1	1	yes	characteristic
424	C₄	C₄⋊Q₈×D₄₇	1	1	yes	characteristic
425	C₄	#15689773	1	1	yes	characteristic
426	C₄	Q₈×D₁₈₈	1	1	yes	characteristic
427	C₂	—	2	1	no	—
428	C₂	—	2	1	no	—
429	C₂	—	188	2	no	—
430	C₂	#20247088	1	1	yes	characteristic
431	C₂	#20255188	1	1	yes	characteristic
432	C₂	#20255193	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	D₄×D₁₈₈
commutator, cosocle	C₂²×C₄×C₄₇	C₂⁴
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₄₇×#1945	C₂
socle	C₂²×C₄₇	D₄²
prime radical	C₂×#10625350	C₂³
hypercenter	#1945	D₄₇
hypocenter	C₄₇	#26083
LCS	G ▷ C₂²×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #1945

Complements

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

N	H ≅ G/N	type
1. #20253928	C₂	semidirect
4. #20244893	C₂	semidirect
5. #20244732	C₂	semidirect
6. #20244174	C₂	semidirect
8. #20243548	C₂	semidirect
11. C₄₇×#1945	C₂	semidirect
47. #13094030	Q₈	semidirect
78. #13093952	Q₈	semidirect
217. #1945	D₄₇	semidirect
261. C₄₇	#26083	semidirect

Maximal subgroups

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

subgroup	index
#20253928	2
#20253241	2
#20251985	2
#20244893	2
#20244732	2
#20244174	2
#20243615	2
#20243548	2
#20243449	2
#20243225	2
C₄₇×#1945	2
#26083	47