Subgroups — #26185746

Order 12032.

730 conjugacy classes of subgroups.

The subgroup lattice has 382 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20252468	C₂	1	1	yes	maximal, characteristic, complemented
2	#20252412	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×#10625335	C₂	1	1	yes	maximal, characteristic
4	#20242197	C₂	1	4	yes	maximal, complemented
5	#20242191	C₂	1	4	yes	maximal, complemented
6	#20242134	C₂	1	1	yes	maximal, characteristic, complemented
7	#20241784	C₂	1	1	yes	maximal, characteristic, complemented
8	#20241672	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₇×#1478	C₂	1	1	yes	maximal, characteristic
10	C₂²×#10625335	C₄	1	1	yes	characteristic
11	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic
12	C₈×Dic₉₄	—	2	2	no	—
13	#15689247	C₂²	1	4	yes	complemented
14	C₄×#10625335	C₄	1	2	yes	—
15	C₄×#10625335	C₄	1	2	yes	—
16	C₄×#10625335	C₂²	1	2	yes	—
17	C₄×#10625335	C₂²	1	2	yes	—
18	D₄×C₄₇⋊C₈	—	2	2	no	—
19	D₄×C₄₇⋊C₈	C₂²	1	4	yes	—
20	#15689176	C₂²	1	1	yes	characteristic
21	#15689176	C₂²	1	1	yes	characteristic
22	#15689173	—	2	2	no	—
23	C₂×#13093955	C₄	1	1	yes	characteristic
24	C₂×#13093947	C₄	1	1	yes	characteristic
25	C₂×#13093945	C₄	1	1	yes	characteristic
26	C₂×C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
27	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
28	#15688875	C₂²	1	2	yes	complemented
29	#15688873	C₂²	1	2	yes	complemented
30	#15688855	C₂²	1	4	yes	complemented
31	#15688845	C₂²	1	2	yes	complemented
32	C₈×C₄₇⋊C₈	C₂²	1	2	yes	complemented
33	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
34	C₄₇×#431	C₂²	1	1	yes	characteristic
35	C₄₇×#431	C₂²	1	1	yes	characteristic
36	C₄₇×D₄⋊C₈	C₂²	1	4	yes	—
37	C₂²×Dic₉₄	C₂×C₄	1	1	yes	characteristic
38	C₂×#10625335	C₈	1	8	yes	complemented
39	C₂×#10625335	C₂×C₄	1	2	yes	—
40	C₂×#10625335	C₂×C₄	1	2	yes	—
41	C₂²×C₄₇⋊C₈	—	2	4	no	—
42	C₂²×C₄₇⋊C₈	C₂×C₄	1	1	yes	characteristic
43	C₂²×C₄₇⋊C₈	C₂×C₄	1	1	yes	characteristic
44	C₄×Dic₉₄	—	2	1	no	—
45	C₄×Dic₉₄	—	2	1	no	—
46	C₄×Dic₉₄	C₂×C₄	1	2	yes	—
47	C₄×Dic₉₄	C₂³	1	2	yes	—
48	C₂×C₄⋊Dic₄₇	C₂×C₄	1	1	yes	characteristic
49	C₂×Dic₄₇⋊C₄	—	2	1	no	—
50	C₂×C₄×Dic₄₇	—	2	1	no	—
51	#13093955	C₂×C₄	1	2	yes	—
52	#13093955	C₂×C₄	1	2	yes	—
53	C₄⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
54	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
55	Dic₄₇⋊C₈	—	2	4	no	—
56	#13093947	C₂×C₄	1	2	yes	—
57	#13093947	C₂×C₄	1	2	yes	—
58	#13093945	C₂×C₄	1	2	yes	—
59	#13093945	C₂×C₄	1	2	yes	—
60	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
61	C₂²⋊(C₄₇⋊C₈)	—	2	4	no	—
62	C₂²⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
63	C₄×C₄₇⋊C₈	—	2	1	no	—
64	C₄×C₄₇⋊C₈	C₂×C₄	1	1	yes	characteristic
65	C₄×C₄₇⋊C₈	C₂×C₄	1	1	yes	characteristic
66	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
67	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
68	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
69	C₈×Dic₄₇	—	2	4	no	—
70	C₂²×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
71	C₂³×C₄×C₄₇	—	2	1	no	—
72	C₄×D₄×C₄₇	—	2	1	no	—
73	C₄×D₄×C₄₇	—	2	1	no	—
74	C₄×D₄×C₄₇	C₂×C₄	1	2	yes	—
75	C₄×D₄×C₄₇	C₂³	1	2	yes	—
76	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	1	yes	characteristic
77	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
78	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
79	C₄⋊C₈×C₄₇	—	2	1	no	—
80	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
81	C₂²⋊C₈×C₄₇	—	2	1	no	—
82	C₂²⋊C₈×C₄₇	—	2	1	no	—
83	C₄×C₈×C₄₇	—	2	1	no	—
84	C₄×C₈×C₄₇	C₂³	1	2	yes	—
85	C₂⁴×C₄₇	—	2	1	no	—
86	C₂×D₄×C₄₇	—	2	1	no	—
87	C₂×D₄×C₄₇	—	2	2	no	—
88	C₂×D₄×C₄₇	C₂×C₈	1	4	yes	—
89	C₂×D₄×C₄₇	C₂²×C₄	1	2	yes	—
90	C₂²×C₄×C₄₇	—	2	1	no	—
91	C₂²×C₄×C₄₇	—	2	2	no	—
92	C₂²×C₄×C₄₇	—	2	2	no	—
93	C₂²×C₄×C₄₇	—	8	2	no	—
94	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
95	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
97	C₂²×Dic₄₇	—	2	1	no	—
98	C₂²×Dic₄₇	—	2	1	no	—
99	C₂×Dic₉₄	—	2	1	no	—
100	C₂×Dic₉₄	—	2	2	no	—
101	C₂×Dic₉₄	C₂×C₈	1	4	yes	complemented
102	C₂×Dic₉₄	C₂²×C₄	1	2	yes	—
103	C₂×C₈×C₄₇	—	2	2	no	—
104	C₂×C₈×C₄₇	—	2	2	no	—
105	C₄⋊C₄×C₄₇	—	2	1	no	—
106	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
107	C₂²⋊C₄×C₄₇	—	2	2	no	—
108	C₂²⋊C₄×C₄₇	—	2	2	no	—
109	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
110	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
111	C₄²×C₄₇	#41	1	1	yes	characteristic
112	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
113	#10625335	C₂×C₈	1	8	yes	complemented
114	#10625335	C₂×C₈	1	8	yes	complemented
115	C₄⋊Dic₄₇	—	2	1	no	—
116	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
117	Dic₄₇⋊C₄	—	2	2	no	—
118	Dic₄₇⋊C₄	—	2	2	no	—
119	C₄×Dic₄₇	—	2	2	no	—
120	C₄×Dic₄₇	—	2	2	no	—
121	C₂×C₄₇⋊C₈	—	2	2	no	—
122	C₂×C₄₇⋊C₈	—	2	2	no	—
123	C₂×C₄₇⋊C₈	—	8	4	no	—
124	C₂×C₄₇⋊C₈	C₂×C₈	1	4	yes	complemented
125	C₂×C₄₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
126	C₂×C₄₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
127	C₂×C₄₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
128	C₂×C₄₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
129	C₂×C₄₇⋊C₈	C₂×D₄	1	4	yes	—
130	C₂³×C₄₇	—	2	2	no	—
131	C₂³×C₄₇	—	2	4	no	—
132	C₂³×C₄₇	—	8	1	no	—
133	C₂³×C₄₇	—	8	1	no	—
134	C₂³×C₄₇	C₄×D₄	1	1	yes	characteristic
135	D₄×C₄₇	—	2	2	no	—
136	D₄×C₄₇	—	2	4	no	—
137	D₄×C₄₇	C₂²×C₈	1	4	yes	—
138	C₂×C₄×C₄₇	—	2	2	no	—
139	C₂×C₄×C₄₇	—	2	2	no	—
140	C₂×C₄×C₄₇	—	4	1	no	—
141	C₂×C₄×C₄₇	—	4	4	no	—
142	C₂×C₄×C₄₇	—	8	2	no	—
143	C₂×C₄×C₄₇	—	8	1	no	—
144	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
145	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
146	C₂×C₄×C₄₇	C₄×D₄	1	1	yes	characteristic
147	C₂×C₄×C₄₇	C₂²×C₈	1	2	yes	—
148	C₂×C₄×C₄₇	#131	1	2	yes	—
149	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
150	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
151	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
152	C₂×Dic₄₇	—	2	2	no	—
153	C₂×Dic₄₇	—	2	4	no	—
154	C₂×Dic₄₇	—	2	2	no	—
155	C₂×Dic₄₇	—	8	1	no	—
156	Dic₉₄	—	2	2	no	—
157	Dic₉₄	—	2	4	no	—
158	Dic₉₄	C₂²×C₈	1	4	yes	—
159	C₈×C₄₇	—	4	2	no	—
160	C₈×C₄₇	—	4	2	no	—
161	C₄₇⋊C₈	—	2	1	no	—
162	C₄₇⋊C₈	—	2	1	no	—
163	C₄₇⋊C₈	—	2	4	no	—
164	C₄₇⋊C₈	—	4	2	no	—
165	C₄₇⋊C₈	C₂²×C₈	1	2	yes	—
166	C₄₇⋊C₈	C₂²×C₈	1	2	yes	—
167	#17855	—	47	1	no	maximal, Sylow
168	C₂²×C₄₇	—	2	1	no	—
169	C₂²×C₄₇	—	2	1	no	—
170	C₂²×C₄₇	—	2	4	no	—
171	C₂²×C₄₇	—	4	2	no	—
172	C₂²×C₄₇	—	4	2	no	—
173	C₂²×C₄₇	—	8	4	no	—
174	C₂²×C₄₇	C₈×D₄	1	2	yes	—
175	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
176	C₄×C₄₇	—	2	1	no	—
177	C₄×C₄₇	—	2	1	no	—
178	C₄×C₄₇	—	2	1	no	—
179	C₄×C₄₇	—	4	2	no	—
180	C₄×C₄₇	C₈×D₄	1	2	yes	—
181	C₄×C₄₇	C₂³×C₈	1	1	yes	characteristic
182	C₄×C₄₇	C₂×#131	1	1	yes	characteristic
183	C₄×C₄₇	#577	1	2	yes	—
184	Dic₄₇	—	2	4	no	—
185	Dic₄₇	—	4	2	no	—
186	#2982	—	47	1	no	—
187	#2972	—	47	1	no	—
188	C₂×C₄×SD₁₆	—	47	1	no	—
189	SD₁₆⋊C₈	—	47	4	no	—
190	C₈×SD₁₆	—	47	4	no	—
191	#1564	—	47	1	no	—
192	#1479	—	47	1	no	—
193	#1478	D₄₇	1	1	yes	characteristic
194	#1450	—	47	1	no	—
195	C₂×C₄₇	—	2	2	no	—
196	C₂×C₄₇	—	4	4	no	—
197	C₂×C₄₇	C₂×C₈×D₄	1	1	yes	characteristic
198	C₂×C₄₇	#2949	1	1	yes	characteristic
199	C₂×C₄₇	#2957	1	1	yes	characteristic
200	C₂²×SD₁₆	—	47	1	no	—
201	C₂×C₄×Q₈	—	47	1	no	—
202	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
203	C₈×Q₈	—	47	4	no	—
204	C₈×Q₈	—	94	2	no	—
205	C₄×SD₁₆	—	47	2	no	—
206	C₄×SD₁₆	—	47	2	no	—
207	C₄×SD₁₆	—	47	2	no	—
208	C₄×SD₁₆	—	47	2	no	—
209	C₈×D₄	—	47	4	no	—
210	C₈×D₄	—	94	2	no	—
211	#431	—	47	1	no	—
212	#431	—	47	1	no	—
213	#431	—	94	2	no	—
214	#431	C₂×D₄₇	1	1	yes	characteristic
215	#431	C₂×D₄₇	1	1	yes	characteristic
216	C₂×#106	—	47	1	no	—
217	C₂×#103	—	47	1	no	—
218	C₂×#102	—	47	1	no	—
219	C₂×C₂²⋊C₈	—	94	2	no	—
220	C₂×C₄×C₈	—	47	1	no	—
221	#335	—	47	2	no	—
222	#334	—	47	2	no	—
223	Q₈⋊C₈	—	47	4	no	—
224	D₄⋊C₈	C₂×D₄₇	1	4	yes	—
225	#322	—	47	2	no	—
226	C₈²	—	47	2	no	—
227	C₄₇	#17855	1	1	yes	characteristic, complemented, Sylow
228	C₂²×Q₈	—	47	1	no	—
229	C₂²×D₄	C₄×D₄₇	1	1	yes	characteristic
230	C₂³×C₄	—	2	1	no	—
231	C₂×SD₁₆	—	47	8	no	—
232	C₂×SD₁₆	—	47	2	no	—
233	C₂×SD₁₆	—	47	2	no	—
234	C₂²×C₈	—	47	1	no	—
235	C₂²×C₈	—	47	1	no	—
236	C₂²×C₈	—	94	4	no	—
237	C₄×Q₈	—	47	2	no	—
238	C₄×Q₈	—	47	2	no	—
239	C₄×Q₈	—	94	1	no	—
240	C₄×Q₈	—	94	1	no	—
241	C₄×D₄	—	2	1	no	—
242	C₄×D₄	—	2	1	no	—
243	C₄×D₄	C₄×D₄₇	1	2	yes	—
244	C₄×D₄	C₂²×D₄₇	1	2	yes	—
245	C₂×C₄⋊C₄	—	47	1	no	—
246	C₂×C₄⋊C₄	—	94	1	no	—
247	C₂×C₄⋊C₄	C₄×D₄₇	1	1	yes	characteristic
248	C₂×C₂²⋊C₄	—	2	1	no	—
249	C₂×C₄²	—	94	1	no	—
250	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
251	#106	—	47	2	no	—
252	#106	—	47	2	no	—
253	C₄⋊C₈	—	2	1	no	—
254	C₄⋊C₈	—	47	2	no	—
255	C₄⋊C₈	—	47	2	no	—
256	C₄⋊C₈	—	94	4	no	—
257	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
258	#103	—	47	2	no	—
259	#103	—	47	2	no	—
260	#102	—	47	2	no	—
261	#102	—	47	2	no	—
262	C₂²⋊C₈	—	2	1	no	—
263	C₂²⋊C₈	—	2	1	no	—
264	C₂²⋊C₈	—	47	2	no	—
265	C₂²⋊C₈	—	94	4	no	—
266	C₂²⋊C₈	—	94	1	no	—
267	C₄×C₈	—	2	1	no	—
268	C₄×C₈	—	47	1	no	—
269	C₄×C₈	—	47	1	no	—
270	C₄×C₈	—	47	1	no	—
271	C₄×C₈	—	47	2	no	—
272	C₄×C₈	—	47	1	no	—
273	C₄×C₈	—	94	4	no	—
274	C₄×C₈	—	94	1	no	—
275	C₄×C₈	C₂²×D₄₇	1	2	yes	—
276	C₂⁴	—	2	1	no	—
277	C₂×Q₈	—	47	4	no	—
278	C₂×Q₈	—	47	2	no	—
279	C₂×Q₈	—	94	1	no	—
280	C₂×Q₈	—	94	2	no	—
281	C₂×D₄	—	2	1	no	—
282	C₂×D₄	—	2	2	no	—
283	C₂×D₄	C₈×D₄₇	1	4	yes	—
284	C₂×D₄	C₂×C₄×D₄₇	1	2	yes	—
285	C₂²×C₄	—	2	1	no	—
286	C₂²×C₄	—	2	2	no	—
287	C₂²×C₄	—	2	2	no	—
288	C₂²×C₄	—	8	2	no	—
289	C₂²×C₄	—	94	1	no	—
290	C₂²×C₄	—	94	1	no	—
291	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
292	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
293	C₂²×C₄	#10625352	1	1	yes	characteristic
294	SD₁₆	—	47	8	no	—
295	SD₁₆	—	47	8	no	—
296	C₂×C₈	—	2	2	no	—
297	C₂×C₈	—	2	2	no	—
298	C₂×C₈	—	47	4	no	—
299	C₂×C₈	—	47	1	no	—
300	C₂×C₈	—	47	1	no	—
301	C₂×C₈	—	47	1	no	—
302	C₂×C₈	—	47	1	no	—
303	C₂×C₈	—	47	4	no	—
304	C₂×C₈	—	94	2	no	—
305	C₂×C₈	—	94	2	no	—
306	C₂×C₈	—	376	4	no	—
307	C₄⋊C₄	—	2	1	no	—
308	C₄⋊C₄	—	47	2	no	—
309	C₄⋊C₄	—	94	2	no	—
310	C₄⋊C₄	—	94	1	no	—
311	C₄⋊C₄	—	94	2	no	—
312	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
313	C₂²⋊C₄	—	2	2	no	—
314	C₂²⋊C₄	—	2	2	no	—
315	C₄²	—	94	2	no	—
316	C₄²	—	94	2	no	—
317	C₄²	C₂×C₄×D₄₇	1	1	yes	characteristic
318	C₄²	D₄×D₄₇	1	1	yes	characteristic
319	C₄²	#10625352	1	1	yes	characteristic
320	C₄²	C₂³×D₄₇	1	1	yes	characteristic
321	C₂³	—	2	2	no	—
322	C₂³	—	2	4	no	—
323	C₂³	—	8	1	no	—
324	C₂³	—	8	1	no	—
325	C₂³	(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
326	Q₈	—	47	4	no	—
327	Q₈	—	94	2	no	—
328	Q₈	—	94	4	no	—
329	D₄	—	2	2	no	—
330	D₄	—	2	4	no	—
331	D₄	C₂×C₈×D₄₇	1	4	yes	—
332	C₂×C₄	—	2	2	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	4	1	no	—
335	C₂×C₄	—	4	4	no	—
336	C₂×C₄	—	8	2	no	—
337	C₂×C₄	—	8	1	no	—
338	C₂×C₄	—	94	2	no	—
339	C₂×C₄	—	94	4	no	—
340	C₂×C₄	—	94	2	no	—
341	C₂×C₄	—	376	1	no	—
342	C₂×C₄	(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
343	C₂×C₄	(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
344	C₂×C₄	(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
345	C₂×C₄	C₂×C₈×D₄₇	1	2	yes	—
346	C₂×C₄	#13094032	1	2	yes	—
347	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
348	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
349	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
350	C₈	—	4	2	no	—
351	C₈	—	4	2	no	—
352	C₈	—	47	2	no	—
353	C₈	—	47	2	no	—
354	C₈	—	94	1	no	—
355	C₈	—	94	1	no	—
356	C₈	—	94	4	no	—
357	C₈	—	188	2	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	2	4	no	—
361	C₂²	—	4	2	no	—
362	C₂²	—	4	2	no	—
363	C₂²	—	8	4	no	—
364	C₂²	(C₂²⋊D₄₇)⋊C₈	1	2	yes	—
365	C₂²	C₂×(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
366	C₄	—	2	1	no	—
367	C₄	—	2	1	no	—
368	C₄	—	2	1	no	—
369	C₄	—	4	2	no	—
370	C₄	—	94	4	no	—
371	C₄	—	188	2	no	—
372	C₄	(C₂²⋊D₄₇)⋊C₈	1	2	yes	—
373	C₄	C₂²×C₈×D₄₇	1	1	yes	characteristic
374	C₄	C₂×#13094032	1	1	yes	characteristic
375	C₄	#15689933	1	2	yes	—
376	C₂	—	2	2	no	—
377	C₂	—	4	4	no	—
378	C₂	C₂×(C₂²⋊D₄₇)⋊C₈	1	1	yes	characteristic
379	C₂	#20252250	1	1	yes	characteristic
380	C₂	#20252301	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₇
commutator	C₄×C₄₇	C₂³×C₈
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#1478	C₂
socle	C₂²×C₄₇	C₂×C₄×D₄
prime radical	C₂²×D₄×C₄₇	C₂×C₄
cosocle	C₄²×C₄₇	C₂⁴
hypercenter	#1478	D₄₇
hypocenter	C₄₇	#17855
LCS	G ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1478

Complements

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

N	H ≅ G/N	type
1. #20252468	C₂	semidirect
4. #20242197	C₂	semidirect
5. #20242191	C₂	semidirect
6. #20242134	C₂	semidirect
7. #20241784	C₂	semidirect
8. #20241672	C₂	semidirect
13. #15689247	C₂²	semidirect
28. #15688875	C₂²	semidirect
29. #15688873	C₂²	semidirect
30. #15688855	C₂²	semidirect
31. #15688845	C₂²	semidirect
32. C₈×C₄₇⋊C₈	C₂²	semidirect
38. C₂×#10625335	C₈	semidirect
101. C₂×Dic₉₄	C₂×C₈	semidirect
113. #10625335	C₂×C₈	semidirect
114. #10625335	C₂×C₈	semidirect
124. C₂×C₄₇⋊C₈	C₂×C₈	semidirect
227. C₄₇	#17855	semidirect

Maximal subgroups

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

subgroup	index
#20252468	2
#20252412	2
C₂×C₄×#10625335	2
#20242197	2
#20242191	2
#20242134	2
#20241784	2
#20241672	2
C₄₇×#1478	2
#17855	47