Subgroups — #26220643

Order 12032.

862 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689236	C₂	1	1	yes	maximal, characteristic
2	#20246032	C₂	1	2	yes	maximal, complemented
3	#20244264	C₂	1	1	yes	maximal, characteristic
4	#20244254	C₂	1	1	yes	maximal, characteristic
5	#20244131	C₂	1	1	yes	maximal, characteristic, complemented
6	#20244116	C₂	1	1	yes	maximal, characteristic, complemented
7	#20244085	C₂	1	2	yes	maximal, complemented
8	#20244071	C₂	1	2	yes	maximal, complemented
9	#20243285	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄×#13093946	C₂	1	2	yes	maximal, complemented
11	C₄₇×#1726	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×D₃₇₆	C₂²	1	1	yes	characteristic
13	C₂×C₄×D₁₈₈	C₂²	1	2	yes	—
14	#15689236	C₄	1	8	yes	complemented
15	C₂×#13093958	C₂²	1	1	yes	characteristic
16	C₂×#13093956	C₂²	1	1	yes	characteristic
17	C₂×#13093956	C₂²	1	1	yes	characteristic
18	C₂×#13093946	C₂²	1	2	yes	—
19	C₂×#13093946	C₂²	1	2	yes	—
20	C₂×#13093946	C₂²	1	2	yes	—
21	#15689025	C₂²	1	2	yes	—
22	#15689025	C₂²	1	2	yes	—
23	#15689021	C₂²	1	2	yes	—
24	#15689021	C₂²	1	2	yes	—
25	#15689012	—	2	2	no	—
26	#15689012	—	2	2	no	—
27	#15688985	—	2	2	no	—
28	#15688982	—	2	2	no	—
29	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
30	#15688886	C₂²	1	2	yes	—
31	#15688886	C₂²	1	2	yes	—
32	#15688886	C₂²	1	2	yes	—
33	C₂×#97×C₄₇	C₂²	1	1	yes	characteristic
34	C₂×#97×C₄₇	C₂²	1	1	yes	characteristic
35	C₂×#97×C₄₇	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
39	C₄₇×#376	C₂²	1	1	yes	characteristic
40	C₂²×D₁₈₈	C₂³	1	2	yes	—
41	C₂²×C₄×D₄₇	—	2	2	no	—
42	C₂×D₃₇₆	—	2	2	no	—
43	C₂×D₃₇₆	—	2	2	no	—
44	C₂×D₃₇₆	C₂×C₄	1	4	yes	—
45	C₄×D₁₈₈	—	2	4	no	—
46	C₄×D₁₈₈	C₂×C₄	1	8	yes	—
47	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
48	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
49	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
50	C₂×Dic₄₇⋊C₄	—	2	2	no	—
51	C₂×Dic₄₇⋊C₄	—	2	2	no	—
52	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
53	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
54	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
55	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
56	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
57	C₂×C₄×Dic₄₇	—	2	2	no	—
58	#13093958	—	2	2	no	—
59	#13093956	—	2	2	no	—
60	#13093956	C₂×C₄	1	4	yes	—
61	#13093946	—	2	4	no	—
62	#13093946	—	2	4	no	—
63	#13093946	C₂×C₄	1	8	yes	—
64	C₄₇⋊#95	—	2	2	no	—
65	C₄₇⋊#95	—	2	2	no	—
66	C₄₇⋊#95	—	2	2	no	—
67	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
68	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
69	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
70	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
71	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
72	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
73	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
74	#97×C₄₇	—	2	2	no	—
75	#97×C₄₇	—	2	2	no	—
76	#97×C₄₇	C₂×C₄	1	4	yes	—
77	C₄×C₈×C₄₇	—	2	2	no	—
78	C₄×C₈×C₄₇	—	2	2	no	—
79	C₄×C₈×C₄₇	—	2	2	no	—
80	#95×C₄₇	D₄	1	2	yes	—
81	#95×C₄₇	D₄	1	2	yes	—
82	C₂³×D₄₇	—	2	2	no	—
83	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
84	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
85	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
86	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
87	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
88	C₂²×Dic₄₇	—	2	2	no	—
89	C₂²×Dic₄₇	—	2	2	no	—
90	C₂²×Dic₄₇	—	2	2	no	—
91	C₂×D₁₈₈	—	2	2	no	—
92	C₂×D₁₈₈	—	2	2	no	—
93	C₂×D₁₈₈	—	2	2	no	—
94	C₂×D₁₈₈	—	2	2	no	—
95	C₂×D₁₈₈	—	2	2	no	—
96	C₂×D₁₈₈	C₂²×C₄	1	4	yes	—
97	C₂×C₄×D₄₇	—	2	8	no	—
98	C₂×C₄×D₄₇	—	8	2	no	—
99	C₂×C₄×D₄₇	—	8	2	no	—
100	C₂×C₈×C₄₇	—	2	1	no	—
101	C₂×C₈×C₄₇	—	2	1	no	—
102	C₂×C₈×C₄₇	—	2	1	no	—
103	C₂×C₈×C₄₇	—	2	1	no	—
104	C₂×C₈×C₄₇	—	2	1	no	—
105	C₂×C₈×C₄₇	—	2	1	no	—
106	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
107	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
108	C₂×C₈×C₄₇	#41	1	2	yes	—
109	C₂×C₈×C₄₇	#41	1	2	yes	—
110	C₂×C₈×C₄₇	#41	1	2	yes	—
111	C₂×C₈×C₄₇	#41	1	2	yes	—
112	C₄²×C₄₇	—	2	1	no	—
113	C₄²×C₄₇	—	2	1	no	—
114	C₄²×C₄₇	—	2	1	no	—
115	C₄²×C₄₇	—	2	1	no	—
116	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
117	C₄²×C₄₇	#41	1	2	yes	—
118	(C₂×D₄₇)⋊C₄	—	2	8	no	—
119	(C₂×D₄₇)⋊C₄	—	8	2	no	—
120	(C₂×D₄₇)⋊C₄	—	8	2	no	—
121	(C₂×D₄₇)⋊C₄	—	8	2	no	—
122	(C₂×D₄₇)⋊C₄	—	8	2	no	—
123	C₄⋊Dic₄₇	—	2	2	no	—
124	C₄⋊Dic₄₇	—	2	2	no	—
125	C₄⋊Dic₄₇	—	2	2	no	—
126	C₄⋊Dic₄₇	—	2	2	no	—
127	C₄⋊Dic₄₇	—	2	2	no	—
128	C₄⋊Dic₄₇	C₂²×C₄	1	4	yes	—
129	Dic₄₇⋊C₄	—	8	2	no	—
130	Dic₄₇⋊C₄	—	8	2	no	—
131	C₄×Dic₄₇	—	8	2	no	—
132	D₃₇₆	—	2	8	no	—
133	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
134	C₂²×D₄₇	—	2	4	no	—
135	C₂²×D₄₇	—	4	2	no	—
136	C₂²×D₄₇	—	4	2	no	—
137	C₂²×D₄₇	—	4	2	no	—
138	C₂²×D₄₇	—	4	2	no	—
139	C₂²×D₄₇	—	4	2	no	—
140	C₂²×D₄₇	—	4	2	no	—
141	C₂×C₄×C₄₇	—	2	2	no	—
142	C₂×C₄×C₄₇	—	2	2	no	—
143	C₂×C₄×C₄₇	—	2	1	no	—
144	C₂×C₄×C₄₇	—	2	1	no	—
145	C₂×C₄×C₄₇	—	2	2	no	—
146	C₂×C₄×C₄₇	—	2	2	no	—
147	C₂×C₄×C₄₇	—	2	2	no	—
148	C₂×C₄×C₄₇	—	2	2	no	—
149	C₂×C₄×C₄₇	—	2	2	no	—
150	C₂×C₄×C₄₇	C₄×D₄	1	4	yes	—
151	C₂×C₄×C₄₇	C₂³×C₄	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×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
155	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
156	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
157	C₂×Dic₄₇	—	2	4	no	—
158	C₂×Dic₄₇	—	4	2	no	—
159	C₂×Dic₄₇	—	4	2	no	—
160	C₂×Dic₄₇	—	4	2	no	—
161	C₂×Dic₄₇	—	4	2	no	—
162	C₂×Dic₄₇	—	4	2	no	—
163	C₂×Dic₄₇	—	4	2	no	—
164	C₂×Dic₄₇	—	4	2	no	—
165	C₂×Dic₄₇	—	4	2	no	—
166	D₁₈₈	—	2	4	no	—
167	D₁₈₈	—	2	4	no	—
168	D₁₈₈	—	4	2	no	—
169	D₁₈₈	—	4	2	no	—
170	C₄×D₄₇	—	8	8	no	—
171	C₈×C₄₇	—	2	2	no	—
172	C₈×C₄₇	—	2	2	no	—
173	C₈×C₄₇	—	2	2	no	—
174	C₈×C₄₇	#117	1	4	yes	—
175	#21290	—	47	1	no	maximal, Sylow
176	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
177	C₂²×C₄₇	#532	1	1	yes	characteristic
178	C₂²×C₄₇	#532	1	1	yes	characteristic
179	C₂²×C₄₇	#576	1	2	yes	—
180	C₂²×C₄₇	#577	1	2	yes	—
181	C₂×D₄₇	—	4	4	no	—
182	C₂×D₄₇	—	4	4	no	—
183	C₂×D₄₇	—	4	4	no	—
184	C₂×D₄₇	—	8	2	no	—
185	C₂×D₄₇	—	8	2	no	—
186	C₂×D₄₇	—	8	2	no	—
187	C₂×D₄₇	—	8	2	no	—
188	C₄×C₄₇	—	2	4	no	—
189	C₄×C₄₇	—	4	1	no	—
190	C₄×C₄₇	—	4	1	no	—
191	C₄×C₄₇	—	4	2	no	—
192	C₄×C₄₇	C₂×#117	1	1	yes	characteristic
193	C₄×C₄₇	C₄×#41	1	1	yes	characteristic
194	C₄×C₄₇	#529	1	1	yes	characteristic
195	C₄×C₄₇	#529	1	1	yes	characteristic
196	Dic₄₇	—	4	4	no	—
197	Dic₄₇	—	8	2	no	—
198	Dic₄₇	—	8	2	no	—
199	C₂×#442	—	47	1	no	—
200	#2319	—	47	2	no	—
201	#1972	—	47	1	no	—
202	#1970	—	47	1	no	—
203	#1944	—	47	1	no	—
204	#1941	—	47	1	no	—
205	#1936	—	47	2	no	—
206	#1934	—	47	2	no	—
207	#1776	—	47	1	no	—
208	C₄×#102	—	47	2	no	—
209	#1726	D₄₇	1	1	yes	characteristic, complemented
210	C₂×C₄₇	#2293	1	1	yes	characteristic
211	C₂×C₄₇	#2946	1	2	yes	—
212	C₂×C₄₇	#3173	1	1	yes	characteristic
213	C₂×C₄₇	#3176	1	1	yes	characteristic
214	C₂×C₄₇	#3179	1	2	yes	—
215	D₄₇	—	8	4	no	—
216	C₂²×D₈	—	47	1	no	—
217	C₂×C₄×D₄	—	47	2	no	—
218	#442	—	47	8	no	—
219	C₂×#107	—	47	1	no	—
220	C₂×#106	—	47	1	no	—
221	C₂×#106	—	47	1	no	—
222	C₂×#102	—	47	2	no	—
223	C₂×#102	—	47	2	no	—
224	C₂×#102	—	47	2	no	—
225	C₂×#97	C₂×D₄₇	1	1	yes	characteristic
226	C₂×#97	C₂×D₄₇	1	1	yes	characteristic
227	C₂×#97	C₂×D₄₇	1	1	yes	characteristic
228	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
229	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
230	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
231	#390	—	47	2	no	—
232	#390	—	47	2	no	—
233	#389	—	47	2	no	—
234	#389	—	47	2	no	—
235	#388	—	94	2	no	—
236	#388	—	94	2	no	—
237	#381	—	94	2	no	—
238	#380	—	94	2	no	—
239	C₄×C₄⋊C₄	—	47	2	no	—
240	#376	C₂×D₄₇	1	1	yes	characteristic
241	#340	—	47	2	no	—
242	#340	—	47	2	no	—
243	#340	—	47	2	no	—
244	C₄₇	#21290	1	1	yes	characteristic, complemented, Sylow
245	C₂²×D₄	—	47	2	no	—
246	C₂³×C₄	—	94	2	no	—
247	C₂×D₈	—	47	4	no	—
248	C₂×D₈	—	94	2	no	—
249	C₂×D₈	—	94	2	no	—
250	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
251	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
252	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
253	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
254	C₄×D₄	—	47	8	no	—
255	C₄×D₄	—	94	4	no	—
256	C₂×C₄⋊C₄	—	47	2	no	—
257	C₂×C₄⋊C₄	—	47	2	no	—
258	C₂×C₄⋊C₄	—	47	2	no	—
259	C₂×C₄⋊C₄	—	94	2	no	—
260	C₂×C₄⋊C₄	—	94	2	no	—
261	C₂×C₂²⋊C₄	—	94	2	no	—
262	C₂×C₂²⋊C₄	—	94	2	no	—
263	C₂×C₂²⋊C₄	—	94	2	no	—
264	C₂×C₂²⋊C₄	—	94	2	no	—
265	C₂×C₂²⋊C₄	—	94	2	no	—
266	C₂×C₄²	—	94	2	no	—
267	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
268	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
269	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
270	#107	—	94	2	no	—
271	#106	—	47	4	no	—
272	#106	—	94	2	no	—
273	#102	—	47	8	no	—
274	#102	—	94	4	no	—
275	#102	—	94	4	no	—
276	#97	—	2	2	no	—
277	#97	—	2	2	no	—
278	#97	C₄×D₄₇	1	4	yes	—
279	C₄×C₈	—	2	2	no	—
280	C₄×C₈	—	2	2	no	—
281	C₄×C₈	—	2	2	no	—
282	#95	—	94	2	no	—
283	#95	—	94	2	no	—
284	#95	—	94	2	no	—
285	#95	D₁₈₈	1	2	yes	—
286	#95	D₁₈₈	1	2	yes	—
287	C₂⁴	—	94	2	no	—
288	C₂×D₄	—	47	4	no	—
289	C₂×D₄	—	94	2	no	—
290	C₂×D₄	—	94	2	no	—
291	C₂×D₄	—	94	2	no	—
292	C₂×D₄	—	94	2	no	—
293	C₂×D₄	—	94	2	no	—
294	C₂²×C₄	—	94	2	no	—
295	C₂²×C₄	—	94	8	no	—
296	C₂²×C₄	—	94	2	no	—
297	C₂²×C₄	—	94	2	no	—
298	C₂²×C₄	—	376	2	no	—
299	C₂²×C₄	—	376	2	no	—
300	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
301	C₂²×C₄	C₂×D₁₈₈	1	2	yes	—
302	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
303	C₂²×C₄	C₂×D₁₈₈	1	2	yes	—
304	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
305	D₈	—	94	8	no	—
306	C₂×C₈	—	2	1	no	—
307	C₂×C₈	—	2	1	no	—
308	C₂×C₈	—	2	1	no	—
309	C₂×C₈	—	2	1	no	—
310	C₂×C₈	—	2	1	no	—
311	C₂×C₈	—	2	1	no	—
312	C₂×C₈	C₂×C₄×D₄₇	1	2	yes	—
313	C₂×C₈	C₂×C₄×D₄₇	1	2	yes	—
314	C₂×C₈	#10625350	1	2	yes	—
315	C₂×C₈	#10625350	1	2	yes	—
316	C₂×C₈	#10625350	1	2	yes	—
317	C₂×C₈	#10625350	1	2	yes	—
318	C₄⋊C₄	—	47	4	no	—
319	C₄⋊C₄	—	94	2	no	—
320	C₄⋊C₄	—	94	2	no	—
321	C₄⋊C₄	—	94	2	no	—
322	C₄⋊C₄	—	94	2	no	—
323	C₄⋊C₄	—	94	2	no	—
324	C₄⋊C₄	—	376	2	no	—
325	C₄⋊C₄	—	376	2	no	—
326	C₂²⋊C₄	—	94	8	no	—
327	C₂²⋊C₄	—	376	2	no	—
328	C₂²⋊C₄	—	376	2	no	—
329	C₂²⋊C₄	—	376	2	no	—
330	C₂²⋊C₄	—	376	2	no	—
331	C₄²	—	2	1	no	—
332	C₄²	—	2	1	no	—
333	C₄²	—	2	1	no	—
334	C₄²	—	2	1	no	—
335	C₄²	—	376	2	no	—
336	C₄²	C₂×C₄×D₄₇	1	2	yes	—
337	C₄²	#10625350	1	2	yes	—
338	C₂³	—	94	4	no	—
339	C₂³	—	188	2	no	—
340	C₂³	—	188	2	no	—
341	C₂³	—	188	2	no	—
342	C₂³	—	188	2	no	—
343	C₂³	—	188	2	no	—
344	C₂³	—	188	2	no	—
345	C₂³	C₂²×D₁₈₈	1	1	yes	characteristic
346	D₄	—	94	4	no	—
347	D₄	—	94	4	no	—
348	D₄	—	188	2	no	—
349	D₄	—	188	2	no	—
350	C₂×C₄	—	2	2	no	—
351	C₂×C₄	—	2	2	no	—
352	C₂×C₄	—	2	2	no	—
353	C₂×C₄	—	2	2	no	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	2	1	no	—
356	C₂×C₄	—	2	2	no	—
357	C₂×C₄	—	2	2	no	—
358	C₂×C₄	—	2	2	no	—
359	C₂×C₄	—	94	4	no	—
360	C₂×C₄	—	376	8	no	—
361	C₂×C₄	—	188	2	no	—
362	C₂×C₄	—	188	2	no	—
363	C₂×C₄	—	188	2	no	—
364	C₂×C₄	—	188	2	no	—
365	C₂×C₄	—	188	2	no	—
366	C₂×C₄	—	188	2	no	—
367	C₂×C₄	—	188	2	no	—
368	C₂×C₄	—	188	2	no	—
369	C₂×C₄	C₄×D₁₈₈	1	4	yes	—
370	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
371	C₂×C₄	C₂×#10625350	1	1	yes	characteristic
372	C₂×C₄	C₂×#10625350	1	1	yes	characteristic
373	C₂×C₄	C₂×#10625350	1	1	yes	characteristic
374	C₂×C₄	C₂×#10625350	1	1	yes	characteristic
375	C₂×C₄	C₂×#10625350	1	1	yes	characteristic
376	C₈	—	2	2	no	—
377	C₈	—	2	2	no	—
378	C₈	—	2	2	no	—
379	C₈	#13093981	1	4	yes	—
380	C₂²	—	376	2	no	—
381	C₂²	—	376	2	no	—
382	C₂²	—	376	2	no	—
383	C₂²	—	376	2	no	—
384	C₂²	—	188	4	no	—
385	C₂²	—	188	4	no	—
386	C₂²	—	188	4	no	—
387	C₂²	C₂×C₄×D₁₈₈	1	1	yes	characteristic
388	C₂²	#15689673	1	1	yes	characteristic
389	C₂²	#15689673	1	1	yes	characteristic
390	C₂²	#15689928	1	2	yes	—
391	C₂²	#15689935	1	2	yes	—
392	C₄	—	2	4	no	—
393	C₄	—	4	1	no	—
394	C₄	—	4	1	no	—
395	C₄	—	4	2	no	—
396	C₄	—	376	2	no	—
397	C₄	—	376	2	no	—
398	C₄	—	188	4	no	—
399	C₄	C₂×#13093981	1	1	yes	characteristic
400	C₄	C₄×#10625350	1	1	yes	characteristic
401	C₄	#15689657	1	1	yes	characteristic
402	C₄	#15689657	1	1	yes	characteristic
403	C₂	—	376	4	no	—
404	C₂	#20245852	1	1	yes	characteristic
405	C₂	#20252222	1	2	yes	—
406	C₂	#20254005	1	1	yes	characteristic
407	C₂	#20254038	1	1	yes	characteristic
408	C₂	#20254071	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂²×D₁₈₈
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₄₇×#1726	C₂
socle	C₂³×C₄₇	C₂²×D₄
prime radical	C₂²×D₃₇₆	C₂²
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	#1726	D₄₇
hypocenter	C₄₇	#21290
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #376 ◁ #1726

Complements

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

N	H ≅ G/N	type
2. #20246032	C₂	semidirect
5. #20244131	C₂	semidirect
6. #20244116	C₂	semidirect
7. #20244085	C₂	semidirect
8. #20244071	C₂	semidirect
9. #20243285	C₂	semidirect
10. C₄×#13093946	C₂	semidirect
11. C₄₇×#1726	C₂	semidirect
14. #15689236	C₄	semidirect
209. #1726	D₄₇	semidirect
244. C₄₇	#21290	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689236	2
#20246032	2
#20244264	2
#20244254	2
#20244131	2
#20244116	2
#20244085	2
#20244071	2
#20243285	2
C₄×#13093946	2
C₄₇×#1726	2
#21290	47