Subgroups — #26199476

Order 12032.

710 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	#20254529	C₂	1	1	yes	maximal, characteristic, complemented
2	#20254326	C₂	1	1	yes	maximal, characteristic
3	C₂×#15689496	C₂	1	1	yes	maximal, characteristic
4	#20242860	C₂	1	4	yes	maximal, complemented
5	#20242736	C₂	1	4	yes	maximal, complemented
6	#20242136	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242061	C₂	1	1	yes	maximal, characteristic, complemented
8	#20242057	C₂	1	1	yes	maximal, characteristic
9	C₄₇×#2960	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×#10625325	—	2	1	no	—
11	C₂²×#10625325	—	2	1	no	—
12	C₂×#13094024	C₂²	1	1	yes	characteristic
13	C₂×#13094021	C₂²	1	1	yes	characteristic
14	#15689519	—	2	1	no	—
15	#15689497	—	2	1	no	—
16	#15689496	—	2	1	no	—
17	#15689496	—	2	1	no	—
18	#15689496	C₂²	1	2	yes	—
19	#15689496	C₂²	1	2	yes	—
20	#15689473	—	2	1	no	—
21	#15689471	—	2	1	no	—
22	#15689451	—	2	2	no	—
23	#15689408	C₂²	1	4	yes	complemented
24	#15689323	C₂²	1	4	yes	—
25	#15689273	—	2	2	no	—
26	#15689176	C₂²	1	1	yes	characteristic
27	#15689176	C₂²	1	1	yes	characteristic
28	#15688876	C₂²	1	2	yes	complemented
29	#15688874	C₂²	1	2	yes	complemented
30	#15688870	C₂²	1	4	yes	complemented
31	#15688866	C₂²	1	4	yes	—
32	C₄₇×#533	C₂²	1	1	yes	characteristic
33	C₄₇×#446	—	2	1	no	—
34	C₄₇×#446	C₂²	1	2	yes	complemented
35	C₈×Q₈×C₄₇	—	2	1	no	—
36	C₈×Q₈×C₄₇	C₂²	1	2	yes	complemented
37	C₄₇×#424	—	2	1	no	—
38	C₄₇×#423	C₂²	1	1	yes	characteristic
39	C₄₇×#405	—	2	1	no	—
40	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
41	C₂²×Dic₉₄	—	2	1	no	—
42	C₂²×D₁₈₈	—	2	1	no	—
43	C₂²×D₁₈₈	—	2	1	no	—
44	C₂²×D₁₈₈	—	2	1	no	—
45	C₂×#10625325	—	2	2	no	—
46	C₂×#10625325	—	2	2	no	—
47	C₂×#10625325	—	2	2	no	—
48	C₂×#10625325	—	2	2	no	—
49	C₂×#10625325	—	4	4	no	—
50	C₂×#10625325	—	4	4	no	—
51	C₂×#10625336	—	2	4	no	—
52	#13094024	—	2	1	no	—
53	#13094024	—	2	1	no	—
54	#13094024	—	2	1	no	—
55	#13094024	C₂³	1	2	yes	—
56	#13094021	—	2	1	no	—
57	#13094021	—	2	1	no	—
58	#13094021	—	2	1	no	—
59	#13094021	C₂³	1	2	yes	—
60	C₂×C₄⋊Dic₄₇	—	2	1	no	—
61	C₂×C₄⋊Dic₄₇	—	2	1	no	—
62	#13093955	—	2	4	no	—
63	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
64	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
65	#13093948	—	2	4	no	—
66	#13093944	—	2	4	no	—
67	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
68	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
69	C₄×C₄₇⋊C₈	—	2	1	no	—
70	C₄×C₄₇⋊C₈	—	2	1	no	—
71	C₂×M₁₆×C₄₇	—	2	1	no	—
72	C₂²×C₈×C₄₇	D₄	1	1	yes	characteristic
73	C₂²×C₈×C₄₇	D₄	1	1	yes	characteristic
74	C₄⋊Q₈×C₄₇	D₄	1	1	yes	characteristic
75	C₄⋊Q₈×C₄₇	D₄	1	1	yes	characteristic
76	#125×C₄₇	—	2	1	no	—
77	C₂²⋊Q₈×C₄₇	—	2	1	no	—
78	C₂²⋊Q₈×C₄₇	D₄	1	2	yes	—
79	C₄×Q₈×C₄₇	—	2	1	no	—
80	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
81	#117×C₄₇	—	2	1	no	—
82	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
83	C₄⋊C₈×C₄₇	—	2	2	no	—
84	C₄⋊C₈×C₄₇	—	2	2	no	—
85	C₄⋊C₈×C₄₇	—	2	1	no	—
86	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
87	#97×C₄₇	—	2	2	no	—
88	C₄×C₈×C₄₇	—	2	2	no	—
89	C₄×C₈×C₄₇	D₄	1	1	yes	characteristic
90	C₄×C₈×C₄₇	D₄	1	1	yes	characteristic
91	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
92	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
93	C₂³×D₄₇	—	4	1	no	—
94	C₂×Q₈×C₄₇	—	2	1	no	—
95	C₂×Q₈×C₄₇	C₂×D₄	1	2	yes	—
96	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
99	C₂²×Dic₄₇	—	4	1	no	—
100	C₂×D₁₈₈	—	2	2	no	—
101	C₂×D₁₈₈	—	2	2	no	—
102	C₂×D₁₈₈	—	2	2	no	—
103	C₂×D₁₈₈	—	4	2	no	—
104	C₂×D₁₈₈	—	4	2	no	—
105	C₂×D₁₈₈	—	4	1	no	—
106	C₂×D₁₈₈	—	4	1	no	—
107	C₂×D₁₈₈	—	4	1	no	—
108	C₂×D₁₈₈	—	8	2	no	—
109	C₂×D₁₈₈	—	8	2	no	—
110	C₂×Dic₉₄	—	2	2	no	—
111	C₂×Dic₉₄	—	4	2	no	—
112	C₂×Dic₉₄	—	4	2	no	—
113	C₂×Dic₉₄	—	4	1	no	—
114	M₁₆×C₄₇	—	4	2	no	—
115	C₂×C₈×C₄₇	—	2	2	no	—
116	C₂×C₈×C₄₇	—	2	2	no	—
117	C₂×C₈×C₄₇	SD₁₆	1	4	yes	complemented
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	C₄⋊C₄×C₄₇	—	2	1	no	—
123	C₄⋊C₄×C₄₇	—	2	1	no	—
124	C₄⋊C₄×C₄₇	—	2	1	no	—
125	C₄⋊C₄×C₄₇	—	2	2	no	—
126	C₄⋊C₄×C₄₇	—	2	2	no	—
127	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
128	C₂²⋊C₄×C₄₇	—	2	2	no	—
129	C₄²×C₄₇	—	2	2	no	—
130	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
131	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
132	C₄²×C₄₇	#41	1	1	yes	characteristic
133	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
134	#10625336	—	8	4	no	—
135	C₄⋊Dic₄₇	—	2	2	no	—
136	C₄⋊Dic₄₇	—	2	2	no	—
137	C₄⋊Dic₄₇	—	4	1	no	—
138	C₄⋊Dic₄₇	—	4	1	no	—
139	C₂×C₄₇⋊C₈	—	2	2	no	—
140	C₂×C₄₇⋊C₈	—	2	2	no	—
141	#10625325	—	4	4	no	—
142	#10625325	—	4	4	no	—
143	#10625325	—	4	4	no	—
144	#10625325	—	4	4	no	—
145	C₂³×C₄₇	#121	1	1	yes	characteristic
146	C₂²×D₄₇	—	4	2	no	—
147	C₂²×D₄₇	—	8	2	no	—
148	C₂²×D₄₇	—	8	2	no	—
149	C₂²×D₄₇	—	8	2	no	—
150	Q₈×C₄₇	—	2	4	no	—
151	Q₈×C₄₇	—	4	2	no	—
152	C₂×C₄×C₄₇	—	2	2	no	—
153	C₂×C₄×C₄₇	—	2	2	no	—
154	C₂×C₄×C₄₇	—	2	2	no	—
155	C₂×C₄×C₄₇	—	2	2	no	—
156	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
157	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
158	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
159	C₂×C₄×C₄₇	C₂×SD₁₆	1	2	yes	—
160	C₂×C₄×C₄₇	AGL(1,ℤ/8)	1	2	yes	—
161	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
162	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
164	C₂×Dic₄₇	—	4	2	no	—
165	C₂×Dic₄₇	—	8	2	no	—
166	D₁₈₈	—	4	2	no	—
167	D₁₈₈	—	4	2	no	—
168	D₁₈₈	—	4	4	no	—
169	D₁₈₈	—	8	2	no	—
170	D₁₈₈	—	8	2	no	—
171	D₁₈₈	—	8	2	no	—
172	D₁₈₈	—	8	2	no	—
173	Dic₉₄	—	4	2	no	—
174	Dic₉₄	—	4	2	no	—
175	Dic₉₄	—	8	2	no	—
176	C₈×C₄₇	—	2	1	no	—
177	C₈×C₄₇	—	2	1	no	—
178	C₈×C₄₇	—	4	2	no	—
179	C₈×C₄₇	C₂×SD₁₆	1	2	yes	—
180	C₈×C₄₇	C₂×SD₁₆	1	2	yes	—
181	C₄₇⋊C₈	—	4	2	no	—
182	C₄₇⋊C₈	—	4	2	no	—
183	#19202	—	47	1	no	maximal, Sylow
184	C₂²×C₄₇	—	2	1	no	—
185	C₂²×C₄₇	—	2	1	no	—
186	C₂²×C₄₇	#460	1	2	yes	—
187	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
188	C₂×D₄₇	—	8	2	no	—
189	C₂×D₄₇	—	8	2	no	—
190	C₂×D₄₇	—	8	2	no	—
191	C₂×D₄₇	—	16	4	no	—
192	C₄×C₄₇	—	2	1	no	—
193	C₄×C₄₇	—	2	1	no	—
194	C₄×C₄₇	—	4	2	no	—
195	C₄×C₄₇	—	4	2	no	—
196	C₄×C₄₇	#460	1	2	yes	—
197	C₄×C₄₇	#471	1	2	yes	—
198	C₄×C₄₇	C₂²×SD₁₆	1	1	yes	characteristic
199	C₄×C₄₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
200	C₄×C₄₇	#577	1	2	yes	—
201	Dic₄₇	—	8	2	no	—
202	#3229	—	47	1	no	—
203	#3208	—	47	1	no	—
204	C₂×#492	—	47	1	no	—
205	#2960	D₄₇	1	1	yes	characteristic, complemented
206	#1686	—	47	4	no	—
207	#1666	—	47	4	no	—
208	#1564	—	47	1	no	—
209	#1546	—	47	1	no	—
210	#1545	—	47	1	no	—
211	C₂×C₄₇	—	2	2	no	—
212	C₂×C₄₇	C₂×#460	1	1	yes	characteristic
213	C₂×C₄₇	#3057	1	1	yes	characteristic
214	C₂×C₄₇	C₂×#471	1	1	yes	characteristic
215	D₄₇	—	16	2	no	—
216	C₂²×SD₁₆	—	94	1	no	—
217	C₂²×SD₁₆	—	94	1	no	—
218	#533	C₂×D₄₇	1	1	yes	characteristic
219	C₂×C₄⋊Q₈	—	47	1	no	—
220	C₂×#127	—	47	1	no	—
221	#498	—	94	1	no	—
222	#492	—	47	2	no	—
223	#492	—	47	2	no	—
224	#492	—	94	1	no	—
225	#492	—	94	1	no	—
226	#492	—	94	1	no	—
227	#487	—	94	1	no	—
228	#486	—	94	1	no	—
229	#483	—	94	2	no	—
230	#475	—	47	4	no	—
231	#460	—	47	4	no	—
232	#450	—	94	2	no	—
233	#446	—	2	1	no	—
234	#446	C₂×D₄₇	1	2	yes	complemented
235	C₈×Q₈	—	2	1	no	—
236	C₈×Q₈	C₂×D₄₇	1	2	yes	complemented
237	#431	—	47	1	no	—
238	#431	—	47	1	no	—
239	#424	—	2	1	no	—
240	#423	C₂×D₄₇	1	1	yes	characteristic
241	#405	—	2	1	no	—
242	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
243	#335	—	47	2	no	—
244	#334	—	47	2	no	—
245	#332	—	47	4	no	—
246	#331	—	47	4	no	—
247	C₄₇	#19202	1	1	yes	characteristic, complemented, Sylow
248	C₂²×Q₈	—	94	1	no	—
249	C₂²×D₄	—	94	1	no	—
250	C₂²×D₄	—	94	1	no	—
251	C₂²×D₄	—	94	1	no	—
252	C₂×SD₁₆	—	94	4	no	—
253	C₂×SD₁₆	—	94	2	no	—
254	C₂×SD₁₆	—	94	2	no	—
255	C₂×SD₁₆	—	94	2	no	—
256	C₂×SD₁₆	—	94	2	no	—
257	C₂×SD₁₆	—	188	4	no	—
258	C₂×SD₁₆	—	188	4	no	—
259	C₂×M₁₆	—	2	1	no	—
260	C₂²×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
261	C₂²×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
262	C₄⋊Q₈	—	47	2	no	—
263	C₄⋊Q₈	—	94	1	no	—
264	C₄⋊Q₈	—	94	1	no	—
265	C₄⋊Q₈	—	94	1	no	—
266	C₄⋊Q₈	D₁₈₈	1	1	yes	characteristic
267	C₄⋊Q₈	D₁₈₈	1	1	yes	characteristic
268	#127	—	47	2	no	—
269	#127	—	94	1	no	—
270	#127	—	94	1	no	—
271	#127	—	94	1	no	—
272	#125	—	2	1	no	—
273	C₂²⋊Q₈	—	2	1	no	—
274	C₂²⋊Q₈	D₁₈₈	1	2	yes	—
275	C₄×Q₈	—	2	1	no	—
276	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
277	#117	—	2	1	no	—
278	C₂×C₄⋊C₄	—	94	1	no	—
279	C₂×C₄⋊C₄	—	94	1	no	—
280	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
281	#106	—	94	4	no	—
282	C₄⋊C₈	—	2	2	no	—
283	C₄⋊C₈	—	2	2	no	—
284	C₄⋊C₈	—	2	1	no	—
285	C₄⋊C₈	—	47	2	no	—
286	C₄⋊C₈	—	47	2	no	—
287	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
288	#103	—	94	4	no	—
289	#102	—	94	4	no	—
290	C₂²⋊C₈	—	94	1	no	—
291	C₂²⋊C₈	—	94	1	no	—
292	#97	—	2	2	no	—
293	C₄×C₈	—	2	2	no	—
294	C₄×C₈	—	94	1	no	—
295	C₄×C₈	—	94	1	no	—
296	C₄×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
297	C₄×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
298	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
299	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
300	C₂⁴	—	188	1	no	—
301	C₂×Q₈	—	2	1	no	—
302	C₂×Q₈	—	94	2	no	—
303	C₂×Q₈	—	188	2	no	—
304	C₂×Q₈	—	188	2	no	—
305	C₂×Q₈	—	188	1	no	—
306	C₂×Q₈	C₂×D₁₈₈	1	2	yes	—
307	C₂×D₄	—	94	2	no	—
308	C₂×D₄	—	94	2	no	—
309	C₂×D₄	—	94	2	no	—
310	C₂×D₄	—	376	2	no	—
311	C₂×D₄	—	376	2	no	—
312	C₂×D₄	—	188	1	no	—
313	C₂×D₄	—	188	1	no	—
314	C₂×D₄	—	188	1	no	—
315	C₂×D₄	—	188	2	no	—
316	C₂×D₄	—	188	2	no	—
317	C₂²×C₄	—	188	1	no	—
318	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
319	C₂²×C₄	#10625350	1	1	yes	characteristic
320	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
321	SD₁₆	—	376	4	no	—
322	SD₁₆	—	188	4	no	—
323	SD₁₆	—	188	4	no	—
324	SD₁₆	—	188	4	no	—
325	SD₁₆	—	188	4	no	—
326	M₁₆	—	4	2	no	—
327	C₂×C₈	—	2	2	no	—
328	C₂×C₈	—	2	2	no	—
329	C₂×C₈	—	94	2	no	—
330	C₂×C₈	—	94	2	no	—
331	C₂×C₈	#10625336	1	4	yes	complemented
332	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
333	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
334	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
335	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
336	C₄⋊C₄	—	2	1	no	—
337	C₄⋊C₄	—	2	1	no	—
338	C₄⋊C₄	—	2	1	no	—
339	C₄⋊C₄	—	2	2	no	—
340	C₄⋊C₄	—	2	2	no	—
341	C₄⋊C₄	—	94	2	no	—
342	C₄⋊C₄	—	94	2	no	—
343	C₄⋊C₄	—	188	1	no	—
344	C₄⋊C₄	—	188	1	no	—
345	C₄⋊C₄	C₂×D₁₈₈	1	2	yes	—
346	C₂²⋊C₄	—	2	2	no	—
347	C₄²	—	2	2	no	—
348	C₄²	C₂×D₁₈₈	1	1	yes	characteristic
349	C₄²	#10625350	1	1	yes	characteristic
350	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
351	C₄²	C₂³×D₄₇	1	1	yes	characteristic
352	C₂³	—	376	2	no	—
353	C₂³	—	376	2	no	—
354	C₂³	—	376	2	no	—
355	C₂³	—	188	2	no	—
356	C₂³	#13093998	1	1	yes	characteristic
357	Q₈	—	2	4	no	—
358	Q₈	—	4	2	no	—
359	Q₈	—	376	2	no	—
360	Q₈	—	188	2	no	—
361	Q₈	—	188	2	no	—
362	D₄	—	376	2	no	—
363	D₄	—	376	2	no	—
364	D₄	—	376	2	no	—
365	D₄	—	376	2	no	—
366	D₄	—	188	2	no	—
367	D₄	—	188	2	no	—
368	D₄	—	188	4	no	—
369	C₂×C₄	—	2	2	no	—
370	C₂×C₄	—	2	2	no	—
371	C₂×C₄	—	2	2	no	—
372	C₂×C₄	—	2	2	no	—
373	C₂×C₄	—	376	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	C₂×#10625336	1	2	yes	—
379	C₂×C₄	#13094049	1	2	yes	—
380	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
381	C₂×C₄	C₂²×D₁₈₈	1	1	yes	characteristic
382	C₂×C₄	C₂×#10625350	1	1	yes	characteristic
383	C₈	—	2	1	no	—
384	C₈	—	2	1	no	—
385	C₈	—	4	2	no	—
386	C₈	—	188	2	no	—
387	C₈	—	188	2	no	—
388	C₈	C₂×#10625336	1	2	yes	—
389	C₈	C₂×#10625336	1	2	yes	—
390	C₂²	—	2	1	no	—
391	C₂²	—	2	1	no	—
392	C₂²	—	376	2	no	—
393	C₂²	—	376	2	no	—
394	C₂²	—	376	2	no	—
395	C₂²	—	752	4	no	—
396	C₂²	#15689323	1	2	yes	—
397	C₂²	C₂×#13093998	1	1	yes	characteristic
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	4	2	no	—
401	C₄	—	4	2	no	—
402	C₄	—	376	2	no	—
403	C₄	#15689323	1	2	yes	—
404	C₄	#15689386	1	2	yes	—
405	C₄	C₂²×#10625336	1	1	yes	characteristic
406	C₄	C₂×#13094049	1	1	yes	characteristic
407	C₄	#15689935	1	2	yes	—
408	C₂	—	2	2	no	—
409	C₂	—	752	2	no	—
410	C₂	C₂×#15689323	1	1	yes	characteristic
411	C₂	#20253027	1	1	yes	characteristic
412	C₂	C₂×#15689386	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13093998
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#2960	C₂
socle	C₂²×C₄₇	C₂×#121
prime radical	C₂×#13094021	C₂²
hypercenter	#2960	D₄₇
hypocenter	C₄₇	#19202
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2960

Complements

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

N	H ≅ G/N	type
1. #20254529	C₂	semidirect
4. #20242860	C₂	semidirect
5. #20242736	C₂	semidirect
6. #20242136	C₂	semidirect
7. #20242061	C₂	semidirect
9. C₄₇×#2960	C₂	semidirect
23. #15689408	C₂²	semidirect
28. #15688876	C₂²	semidirect
29. #15688874	C₂²	semidirect
30. #15688870	C₂²	semidirect
34. C₄₇×#446	C₂²	semidirect
36. C₈×Q₈×C₄₇	C₂²	semidirect
117. C₂×C₈×C₄₇	SD₁₆	semidirect
205. #2960	D₄₇	semidirect
234. #446	C₂×D₄₇	semidirect
236. C₈×Q₈	C₂×D₄₇	semidirect
247. C₄₇	#19202	semidirect
331. C₂×C₈	#10625336	semidirect

Maximal subgroups

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

subgroup	index
#20254529	2
#20254326	2
C₂×#15689496	2
#20242860	2
#20242736	2
#20242136	2
#20242061	2
#20242057	2
C₄₇×#2960	2
#19202	47