Subgroups — #26199433

Order 12032.

726 conjugacy classes of subgroups.

The subgroup lattice has 426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20254310	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#15689469	C₂	1	1	yes	maximal, characteristic, complemented
3	#20252100	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242947	C₂	1	4	yes	maximal, complemented
5	#20242823	C₂	1	4	yes	maximal, complemented
6	#20242134	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242072	C₂	1	1	yes	maximal, characteristic, complemented
8	#20242056	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₇×#3205	C₂	1	1	yes	maximal, characteristic
10	C₂×#13094031	—	2	1	no	—
11	C₂×#13094024	C₂²	1	1	yes	characteristic
12	#15689495	—	2	1	no	—
13	#15689475	—	2	1	no	—
14	#15689469	—	2	1	no	—
15	#15689469	—	2	1	no	—
16	#15689469	C₂²	1	2	yes	—
17	#15689469	C₂²	1	2	yes	—
18	#15689328	C₂²	1	4	yes	complemented
19	#15689261	—	2	2	no	—
20	#15689201	—	2	1	no	—
21	#15689201	C₂²	1	2	yes	complemented
22	D₄×C₄₇⋊C₈	—	2	1	no	—
23	D₄×C₄₇⋊C₈	C₂²	1	2	yes	complemented
24	#15689176	C₂²	1	1	yes	characteristic
25	#15689147	C₂²	1	1	yes	characteristic
26	C₂×#13093945	—	2	1	no	—
27	C₂×#13093945	—	2	1	no	—
28	#15689090	—	2	1	no	—
29	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
30	#15688875	C₂²	1	2	yes	complemented
31	#15688873	C₂²	1	2	yes	complemented
32	#15688870	C₂²	1	4	yes	complemented
33	#15688867	C₂²	1	4	yes	—
34	C₄₇×#532	C₂²	1	1	yes	characteristic
35	C₂×#127×C₄₇	C₂²	1	1	yes	characteristic
36	C₄₇×#493	—	2	1	no	—
37	C₄₇×#486	—	2	1	no	—
38	C₄₇×#459	C₂²	1	4	yes	—
39	C₄₇×#447	—	2	2	no	—
40	C₄₇×#431	C₂²	1	1	yes	characteristic
41	C₂²×Dic₉₄	—	2	1	no	—
42	C₂×#10625335	—	2	4	no	—
43	#13094031	—	4	4	no	—
44	C₂×#10625329	—	2	1	no	—
45	C₂×#10625329	—	2	2	no	—
46	C₂²×C₄₇⋊C₈	—	2	2	no	—
47	C₂²×C₄₇⋊C₈	D₄	1	1	yes	characteristic
48	C₂²×C₄₇⋊C₈	D₄	1	1	yes	characteristic
49	#13094024	—	2	1	no	—
50	#13094024	—	2	1	no	—
51	#13094024	—	2	1	no	—
52	#13094024	C₂³	1	2	yes	—
53	C₂×C₄⋊Dic₄₇	—	2	1	no	—
54	C₂×C₄⋊Dic₄₇	—	2	1	no	—
55	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
56	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
57	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
58	#13093947	—	2	4	no	—
59	#13093945	—	2	2	no	—
60	#13093945	—	2	2	no	—
61	#13093945	—	2	2	no	—
62	#13093945	—	2	2	no	—
63	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
64	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
65	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
66	C₄×C₄₇⋊C₈	—	2	1	no	—
67	C₄×C₄₇⋊C₈	D₄	1	1	yes	characteristic
68	C₄×C₄₇⋊C₈	D₄	1	1	yes	characteristic
69	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
70	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
71	C₂×#41×C₄₇	—	2	1	no	—
72	C₂²×D₄×C₄₇	—	2	1	no	—
73	C₂²×D₄×C₄₇	—	2	1	no	—
74	C₂²×D₄×C₄₇	—	2	1	no	—
75	C₂×D₈×C₄₇	—	2	4	no	—
76	C₄⋊Q₈×C₄₇	D₄	1	1	yes	characteristic
77	#127×C₄₇	—	2	1	no	—
78	#127×C₄₇	—	2	1	no	—
79	#127×C₄₇	—	2	1	no	—
80	#127×C₄₇	D₄	1	1	yes	characteristic
81	#127×C₄₇	C₂³	1	2	yes	—
82	#124×C₄₇	—	2	1	no	—
83	#121×C₄₇	—	2	1	no	—
84	#121×C₄₇	D₄	1	2	yes	—
85	C₄×D₄×C₄₇	—	2	1	no	—
86	C₄×D₄×C₄₇	C₂³	1	2	yes	—
87	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
88	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
89	#102×C₄₇	—	2	4	no	—
90	C₂²⋊C₈×C₄₇	—	2	1	no	—
91	C₄×C₈×C₄₇	—	2	1	no	—
92	C₂⁴×C₄₇	—	4	1	no	—
93	#41×C₄₇	—	4	2	no	—
94	#41×C₄₇	—	4	2	no	—
95	C₂×Q₈×C₄₇	—	2	1	no	—
96	C₂×D₄×C₄₇	—	2	2	no	—
97	C₂×D₄×C₄₇	—	2	1	no	—
98	C₂×D₄×C₄₇	—	2	1	no	—
99	C₂×D₄×C₄₇	—	2	2	no	—
100	C₂×D₄×C₄₇	—	2	2	no	—
101	C₂×D₄×C₄₇	—	2	2	no	—
102	C₂×D₄×C₄₇	—	4	1	no	—
103	C₂×D₄×C₄₇	—	4	1	no	—
104	C₂×D₄×C₄₇	—	4	1	no	—
105	C₂×D₄×C₄₇	—	4	2	no	—
106	C₂×D₄×C₄₇	—	4	2	no	—
107	C₂×D₄×C₄₇	—	8	2	no	—
108	C₂×D₄×C₄₇	—	8	2	no	—
109	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
110	C₂²×C₄×C₄₇	—	2	2	no	—
111	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
112	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
113	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
114	C₂²×Dic₄₇	—	4	1	no	—
115	C₂×Dic₉₄	—	2	2	no	—
116	C₂×Dic₉₄	—	4	1	no	—
117	C₂×Dic₉₄	—	8	2	no	—
118	D₈×C₄₇	—	8	4	no	—
119	C₂×C₈×C₄₇	—	2	2	no	—
120	C₄⋊C₄×C₄₇	—	2	1	no	—
121	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
122	C₂²⋊C₄×C₄₇	—	2	2	no	—
123	C₂²⋊C₄×C₄₇	—	2	2	no	—
124	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
126	C₄²×C₄₇	#41	1	1	yes	characteristic
127	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
128	#10625335	—	8	4	no	—
129	C₄⋊Dic₄₇	—	2	2	no	—
130	C₄⋊Dic₄₇	—	2	2	no	—
131	C₄⋊Dic₄₇	—	4	1	no	—
132	C₄⋊Dic₄₇	—	4	1	no	—
133	#10625329	—	4	4	no	—
134	#10625329	—	4	2	no	—
135	C₂×C₄₇⋊C₈	—	2	2	no	—
136	C₂×C₄₇⋊C₈	—	2	2	no	—
137	C₂×C₄₇⋊C₈	—	2	2	no	—
138	C₂×C₄₇⋊C₈	—	2	2	no	—
139	C₂×C₄₇⋊C₈	—	4	4	no	—
140	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
141	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
142	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
143	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
144	C₂³×C₄₇	—	2	2	no	—
145	C₂³×C₄₇	—	4	2	no	—
146	C₂³×C₄₇	—	8	2	no	—
147	C₂³×C₄₇	—	8	2	no	—
148	C₂³×C₄₇	—	8	2	no	—
149	C₂³×C₄₇	#121	1	1	yes	characteristic
150	Q₈×C₄₇	—	4	2	no	—
151	D₄×C₄₇	—	2	4	no	—
152	D₄×C₄₇	—	4	4	no	—
153	D₄×C₄₇	—	4	2	no	—
154	D₄×C₄₇	—	4	2	no	—
155	D₄×C₄₇	—	4	4	no	—
156	D₄×C₄₇	—	4	2	no	—
157	D₄×C₄₇	—	4	2	no	—
158	D₄×C₄₇	—	8	2	no	—
159	D₄×C₄₇	—	8	2	no	—
160	D₄×C₄₇	—	8	2	no	—
161	D₄×C₄₇	—	8	2	no	—
162	C₂×C₄×C₄₇	—	2	2	no	—
163	C₂×C₄×C₄₇	—	2	2	no	—
164	C₂×C₄×C₄₇	—	2	2	no	—
165	C₂×C₄×C₄₇	—	4	2	no	—
166	C₂×C₄×C₄₇	—	4	2	no	—
167	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
168	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
169	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
170	C₂×C₄×C₄₇	#135	1	2	yes	—
171	C₂×C₄×C₄₇	AGL(1,ℤ/8)	1	2	yes	—
172	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
173	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
174	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
175	C₂×Dic₄₇	—	4	2	no	—
176	C₂×Dic₄₇	—	8	2	no	—
177	Dic₉₄	—	4	4	no	—
178	Dic₉₄	—	8	2	no	—
179	C₈×C₄₇	—	4	2	no	—
180	C₄₇⋊C₈	—	2	1	no	—
181	C₄₇⋊C₈	—	2	1	no	—
182	C₄₇⋊C₈	—	2	1	no	—
183	C₄₇⋊C₈	—	2	1	no	—
184	C₄₇⋊C₈	—	4	2	no	—
185	C₄₇⋊C₈	—	4	2	no	—
186	#19198	—	47	1	no	maximal, Sylow
187	C₂²×C₄₇	—	2	1	no	—
188	C₂²×C₄₇	—	2	1	no	—
189	C₂²×C₄₇	—	4	2	no	—
190	C₂²×C₄₇	—	4	2	no	—
191	C₂²×C₄₇	—	4	2	no	—
192	C₂²×C₄₇	—	8	2	no	—
193	C₂²×C₄₇	—	8	2	no	—
194	C₂²×C₄₇	—	8	2	no	—
195	C₂²×C₄₇	—	16	4	no	—
196	C₂²×C₄₇	#463	1	2	yes	—
197	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
198	C₄×C₄₇	—	2	1	no	—
199	C₄×C₄₇	—	2	1	no	—
200	C₄×C₄₇	—	4	2	no	—
201	C₄×C₄₇	#463	1	2	yes	—
202	C₄×C₄₇	#471	1	2	yes	—
203	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
204	C₄×C₄₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
205	C₄×C₄₇	#576	1	2	yes	—
206	Dic₄₇	—	8	2	no	—
207	#3206	—	47	1	no	—
208	#3205	D₄₇	1	1	yes	characteristic
209	C₂×#486	—	47	1	no	—
210	#2931	—	47	1	no	—
211	#1701	—	47	4	no	—
212	#1681	—	47	4	no	—
213	#1564	—	47	1	no	—
214	#1549	—	47	1	no	—
215	#1545	—	47	1	no	—
216	C₂×C₄₇	—	2	2	no	—
217	C₂×C₄₇	—	8	2	no	—
218	C₂×C₄₇	—	16	2	no	—
219	C₂×C₄₇	C₂×#463	1	1	yes	characteristic
220	C₂×C₄₇	#3058	1	1	yes	characteristic
221	C₂×C₄₇	C₂×#471	1	1	yes	characteristic
222	C₂×#131	—	94	1	no	—
223	#532	C₂×D₄₇	1	1	yes	characteristic
224	C₂×C₄⋊Q₈	—	47	1	no	—
225	C₂×#127	C₂×D₄₇	1	1	yes	characteristic
226	#493	—	2	1	no	—
227	#492	—	94	1	no	—
228	#487	—	94	1	no	—
229	#486	—	2	1	no	—
230	#486	—	47	2	no	—
231	#486	—	47	2	no	—
232	#486	—	94	1	no	—
233	#486	—	94	1	no	—
234	#461	—	47	4	no	—
235	#459	C₂×D₄₇	1	4	yes	—
236	#448	—	94	2	no	—
237	#447	—	2	2	no	—
238	#436	—	47	2	no	—
239	#436	—	94	1	no	—
240	C₈×D₄	—	47	2	no	—
241	C₈×D₄	—	94	1	no	—
242	#431	—	47	1	no	—
243	#431	C₂×D₄₇	1	1	yes	characteristic
244	#423	—	47	1	no	—
245	C₂×#102	—	94	1	no	—
246	C₂×#102	—	94	1	no	—
247	#408	—	94	1	no	—
248	C₂×C₄×C₈	—	47	1	no	—
249	#335	—	47	2	no	—
250	#334	—	47	2	no	—
251	#332	—	47	4	no	—
252	#331	—	47	4	no	—
253	C₄₇	#19198	1	1	yes	characteristic, complemented, Sylow
254	C₂×#41	—	2	1	no	—
255	C₂²×Q₈	—	94	1	no	—
256	C₂²×D₄	—	2	1	no	—
257	C₂²×D₄	—	2	1	no	—
258	C₂²×D₄	—	2	1	no	—
259	C₂×SD₁₆	—	94	4	no	—
260	C₂×D₈	—	2	4	no	—
261	#131	—	188	4	no	—
262	C₂×M₁₆	—	94	2	no	—
263	C₂×M₁₆	—	94	1	no	—
264	C₂²×C₈	—	47	1	no	—
265	C₂²×C₈	—	47	1	no	—
266	C₂²×C₈	—	94	2	no	—
267	C₄⋊Q₈	—	47	2	no	—
268	C₄⋊Q₈	—	94	1	no	—
269	C₄⋊Q₈	—	94	1	no	—
270	C₄⋊Q₈	—	94	1	no	—
271	C₄⋊Q₈	C₂²⋊D₄₇	1	1	yes	characteristic
272	#127	—	2	1	no	—
273	#127	—	2	1	no	—
274	#127	—	2	1	no	—
275	#127	C₂²⋊D₄₇	1	1	yes	characteristic
276	#127	C₂²×D₄₇	1	2	yes	—
277	#124	—	2	1	no	—
278	#121	—	2	1	no	—
279	#121	C₂²⋊D₄₇	1	2	yes	—
280	C₄×D₄	—	2	1	no	—
281	C₄×D₄	C₂²×D₄₇	1	2	yes	—
282	C₂×C₄⋊C₄	—	94	1	no	—
283	C₂×C₄⋊C₄	—	94	1	no	—
284	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
285	C₄⋊C₈	—	47	2	no	—
286	C₄⋊C₈	—	47	2	no	—
287	C₄⋊C₈	—	94	1	no	—
288	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
289	#103	—	94	4	no	—
290	#102	—	2	4	no	—
291	#102	—	94	2	no	—
292	#102	—	94	2	no	—
293	#102	—	94	2	no	—
294	#102	—	94	2	no	—
295	C₂²⋊C₈	—	2	1	no	—
296	C₂²⋊C₈	—	94	2	no	—
297	C₂²⋊C₈	—	94	2	no	—
298	C₂²⋊C₈	—	94	1	no	—
299	C₄×C₈	—	2	1	no	—
300	C₄×C₈	—	47	1	no	—
301	C₄×C₈	—	47	1	no	—
302	C₄×C₈	—	47	1	no	—
303	C₄×C₈	—	47	1	no	—
304	C₄×C₈	—	94	1	no	—
305	C₂⁴	—	4	1	no	—
306	#41	—	4	2	no	—
307	#41	—	4	2	no	—
308	C₂×Q₈	—	2	1	no	—
309	C₂×Q₈	—	94	2	no	—
310	C₂×Q₈	—	376	2	no	—
311	C₂×Q₈	—	188	1	no	—
312	C₂×D₄	—	2	2	no	—
313	C₂×D₄	—	2	1	no	—
314	C₂×D₄	—	2	1	no	—
315	C₂×D₄	—	2	2	no	—
316	C₂×D₄	—	2	2	no	—
317	C₂×D₄	—	2	2	no	—
318	C₂×D₄	—	4	1	no	—
319	C₂×D₄	—	4	1	no	—
320	C₂×D₄	—	4	1	no	—
321	C₂×D₄	—	4	2	no	—
322	C₂×D₄	—	4	2	no	—
323	C₂×D₄	—	8	2	no	—
324	C₂×D₄	—	8	2	no	—
325	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
326	C₂²×C₄	—	2	2	no	—
327	C₂²×C₄	—	188	1	no	—
328	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
329	C₂²×C₄	#10625352	1	1	yes	characteristic
330	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
331	SD₁₆	—	376	4	no	—
332	D₈	—	8	4	no	—
333	M₁₆	—	188	4	no	—
334	M₁₆	—	188	2	no	—
335	C₂×C₈	—	2	2	no	—
336	C₂×C₈	—	47	1	no	—
337	C₂×C₈	—	47	1	no	—
338	C₂×C₈	—	47	1	no	—
339	C₂×C₈	—	47	1	no	—
340	C₂×C₈	—	94	2	no	—
341	C₂×C₈	—	94	2	no	—
342	C₂×C₈	—	94	2	no	—
343	C₂×C₈	—	94	2	no	—
344	C₂×C₈	—	188	4	no	—
345	C₄⋊C₄	—	2	1	no	—
346	C₄⋊C₄	—	94	2	no	—
347	C₄⋊C₄	—	94	2	no	—
348	C₄⋊C₄	—	188	1	no	—
349	C₄⋊C₄	—	188	1	no	—
350	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
351	C₂²⋊C₄	—	2	2	no	—
352	C₂²⋊C₄	—	2	2	no	—
353	C₄²	D₄×D₄₇	1	1	yes	characteristic
354	C₄²	#10625352	1	1	yes	characteristic
355	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
356	C₄²	C₂³×D₄₇	1	1	yes	characteristic
357	C₂³	—	2	2	no	—
358	C₂³	—	4	2	no	—
359	C₂³	—	8	2	no	—
360	C₂³	—	8	2	no	—
361	C₂³	—	8	2	no	—
362	C₂³	#13093996	1	1	yes	characteristic
363	Q₈	—	4	2	no	—
364	Q₈	—	376	2	no	—
365	Q₈	—	188	4	no	—
366	D₄	—	2	4	no	—
367	D₄	—	4	4	no	—
368	D₄	—	4	2	no	—
369	D₄	—	4	2	no	—
370	D₄	—	4	2	no	—
371	D₄	—	4	2	no	—
372	D₄	—	4	4	no	—
373	D₄	—	8	2	no	—
374	D₄	—	8	2	no	—
375	D₄	—	8	2	no	—
376	D₄	—	8	2	no	—
377	C₂×C₄	—	2	2	no	—
378	C₂×C₄	—	2	2	no	—
379	C₂×C₄	—	2	2	no	—
380	C₂×C₄	—	4	2	no	—
381	C₂×C₄	—	4	2	no	—
382	C₂×C₄	—	376	2	no	—
383	C₂×C₄	—	188	2	no	—
384	C₂×C₄	#13093996	1	1	yes	characteristic
385	C₂×C₄	#13093996	1	1	yes	characteristic
386	C₂×C₄	#13093996	1	1	yes	characteristic
387	C₂×C₄	#13094043	1	2	yes	—
388	C₂×C₄	#13094048	1	2	yes	—
389	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
390	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
391	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
392	C₈	—	4	2	no	—
393	C₈	—	94	1	no	—
394	C₈	—	94	1	no	—
395	C₈	—	94	1	no	—
396	C₈	—	94	1	no	—
397	C₈	—	188	2	no	—
398	C₈	—	188	2	no	—
399	C₂²	—	2	1	no	—
400	C₂²	—	2	1	no	—
401	C₂²	—	4	2	no	—
402	C₂²	—	4	2	no	—
403	C₂²	—	4	2	no	—
404	C₂²	—	8	2	no	—
405	C₂²	—	8	2	no	—
406	C₂²	—	8	2	no	—
407	C₂²	—	16	4	no	—
408	C₂²	#15689336	1	2	yes	—
409	C₂²	C₂×#13093996	1	1	yes	characteristic
410	C₄	—	2	1	no	—
411	C₄	—	2	1	no	—
412	C₄	—	4	2	no	—
413	C₄	—	376	2	no	—
414	C₄	#15689336	1	2	yes	—
415	C₄	#15689384	1	2	yes	—
416	C₄	C₂×#13094043	1	1	yes	characteristic
417	C₄	C₂×#13094048	1	1	yes	characteristic
418	C₄	#15689926	1	2	yes	—
419	C₂	—	2	2	no	—
420	C₂	—	8	2	no	—
421	C₂	—	16	2	no	—
422	C₂	C₂×#15689336	1	1	yes	characteristic
423	C₂	#20253033	1	1	yes	characteristic
424	C₂	C₂×#15689384	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13093996
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting, prime radical	C₄₇×#3205	C₂
socle	C₂²×C₄₇	C₂×#121
hypercenter	#3205	D₄₇
hypocenter	C₄₇	#19198
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3205

Complements

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

N	H ≅ G/N	type
1. #20254310	C₂	semidirect
2. C₂×#15689469	C₂	semidirect
3. #20252100	C₂	semidirect
4. #20242947	C₂	semidirect
5. #20242823	C₂	semidirect
6. #20242134	C₂	semidirect
7. #20242072	C₂	semidirect
8. #20242056	C₂	semidirect
18. #15689328	C₂²	semidirect
21. #15689201	C₂²	semidirect
23. D₄×C₄₇⋊C₈	C₂²	semidirect
30. #15688875	C₂²	semidirect
31. #15688873	C₂²	semidirect
32. #15688870	C₂²	semidirect
253. C₄₇	#19198	semidirect

Maximal subgroups

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

subgroup	index
#20254310	2
C₂×#15689469	2
#20252100	2
#20242947	2
#20242823	2
#20242134	2
#20242072	2
#20242056	2
C₄₇×#3205	2
#19198	47