Subgroups — #27085937

Order 12032.

1890 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#533×D₄₇	C₂	1	2	yes	maximal
2	#20253936	C₂	1	8	yes	maximal, complemented
3	#20253931	C₂	1	4	yes	maximal, complemented
4	#20253929	C₂	1	4	yes	maximal, complemented
5	#20253911	C₂	1	4	yes	maximal, complemented
6	#20253902	C₂	1	1	yes	maximal, characteristic, complemented
7	#20253898	C₂	1	2	yes	maximal, complemented
8	#20251976	C₂	1	4	yes	maximal
9	C₂×C₄×#10625324	C₂	1	1	yes	maximal, characteristic
10	C₄₇×#3160	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×#10625324	C₂²	1	2	yes	—
12	#15689680	C₂²	1	2	yes	—
13	#15689679	C₂²	1	4	yes	—
14	#15689678	C₂²	1	4	yes	—
15	#15689677	—	2	4	no	—
16	#15689676	C₂²	1	4	yes	—
17	#15689675	—	2	4	no	—
18	C₄⋊Q₈×D₄₇	C₂²	1	4	yes	—
19	#125×D₄₇	C₂²	1	4	yes	—
20	C₂²⋊Q₈×D₄₇	—	2	4	no	—
21	C₄×Q₈×D₄₇	—	2	4	no	—
22	#117×D₄₇	C₂²	1	4	yes	—
23	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
24	#15689531	C₂²	1	16	yes	complemented
25	#15689530	C₂²	1	16	yes	complemented
26	#15689528	C₂²	1	2	yes	complemented
27	#15689526	C₂²	1	4	yes	complemented
28	#15689525	C₂²	1	4	yes	complemented
29	#15689522	C₂²	1	8	yes	complemented
30	#15689521	C₂²	1	2	yes	complemented
31	#15689519	C₂²	1	4	yes	complemented
32	#15689164	C₂²	1	16	yes	—
33	#15689162	C₂²	1	16	yes	—
34	#15689161	C₂²	1	4	yes	—
35	#15689159	C₂²	1	8	yes	—
36	C₄×#10625324	C₂²	1	2	yes	—
37	C₄×#10625324	C₂²	1	2	yes	—
38	C₄×#10625324	C₂²	1	4	yes	—
39	C₂×#13093934	C₂²	1	2	yes	—
40	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
41	C₄₇×#533	C₂²	1	2	yes	—
42	C₄₇×#500	C₂²	1	2	yes	complemented
43	C₄₇×#499	C₂²	1	4	yes	complemented
44	C₄₇×#498	C₂²	1	2	yes	complemented
45	C₄₇×#427	C₂²	1	4	yes	—
46	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
47	C₂×Q₈×D₄₇	—	2	4	no	—
48	C₂²×C₄×D₄₇	D₄	1	2	yes	—
49	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
50	C₂×#10625324	Q₈	1	16	yes	complemented
51	C₂×#10625324	C₂³	1	4	yes	—
52	C₂×#10625324	C₂³	1	4	yes	—
53	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
54	#13094024	C₂³	1	4	yes	—
55	#13094023	—	2	4	no	—
56	#13094023	C₂³	1	8	yes	—
57	#13094022	—	2	4	no	—
58	#13094016	C₂³	1	4	yes	—
59	#13094015	C₂³	1	8	yes	—
60	#13094014	—	2	8	no	—
61	#13094004	—	2	4	no	—
62	#13094003	—	2	4	no	—
63	#13094002	—	2	8	no	—
64	#13094001	—	2	8	no	—
65	#13094000	—	2	4	no	—
66	Q₈×Dic₄₇	—	2	4	no	—
67	C₄×Dic₉₄	—	2	4	no	—
68	C₄×Dic₉₄	—	2	8	no	—
69	#13093989	—	2	4	no	—
70	#13093989	—	2	8	no	—
71	#13093983	C₂³	1	4	yes	—
72	#13093982	C₂³	1	8	yes	—
73	#13093981	—	2	4	no	—
74	#13093980	—	2	4	no	—
75	C₄⋊C₄×D₄₇	—	2	8	no	—
76	C₄⋊C₄×D₄₇	—	2	4	no	—
77	C₄⋊C₄×D₄₇	C₂³	1	8	yes	—
78	C₂²⋊C₄×D₄₇	—	2	4	no	—
79	C₂×C₄×Dic₄₇	D₄	1	2	yes	—
80	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
81	C₄²×D₄₇	—	2	4	no	—
82	C₄²×D₄₇	D₄	1	4	yes	—
83	C₄²×D₄₇	C₂³	1	2	yes	—
84	C₄²×D₄₇	C₂³	1	2	yes	—
85	#13093958	C₂³	1	8	yes	—
86	#13093957	C₂³	1	16	yes	—
87	#13093956	C₂³	1	8	yes	—
88	#13093955	C₂³	1	16	yes	—
89	#13093934	C₂³	1	4	yes	—
90	#13093934	C₂³	1	4	yes	—
91	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
92	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
93	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
94	C₄⋊Q₈×C₄₇	C₂³	1	4	yes	—
95	#125×C₄₇	C₂³	1	4	yes	—
96	C₂²⋊Q₈×C₄₇	—	2	4	no	—
97	C₄×Q₈×C₄₇	—	2	4	no	—
98	#117×C₄₇	C₂³	1	4	yes	—
99	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
100	#107×C₄₇	C₂³	1	8	yes	—
101	#106×C₄₇	C₂³	1	8	yes	—
102	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
103	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
104	C₄×C₈×C₄₇	C₂³	1	2	yes	—
105	C₂³×D₄₇	C₂×D₄	1	1	yes	characteristic
106	C₂×Q₈×C₄₇	—	2	4	no	—
107	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
108	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
109	C₂²×Dic₄₇	C₂×D₄	1	2	yes	—
110	C₂²×Dic₄₇	C₂×D₄	1	1	yes	characteristic
111	Q₈×D₄₇	—	4	16	no	—
112	C₂×C₄×D₄₇	—	2	8	no	—
113	C₂×C₄×D₄₇	—	4	4	no	—
114	C₂×C₄×D₄₇	C₂×D₄	1	4	yes	—
115	C₂×C₄×D₄₇	C₂×D₄	1	4	yes	—
116	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
117	C₂×C₄×D₄₇	C₂×Q₈	1	8	yes	—
118	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
119	C₂×Dic₉₄	—	2	4	no	—
120	C₂×Dic₉₄	—	2	8	no	—
121	C₂×C₈×C₄₇	C₂×Q₈	1	8	yes	complemented
122	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
123	C₂×C₈×C₄₇	C₂⁴	1	2	yes	—
124	C₄⋊C₄×C₄₇	—	2	8	no	—
125	C₄⋊C₄×C₄₇	—	2	4	no	—
126	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
127	C₂²⋊C₄×C₄₇	—	2	4	no	—
128	C₄²×C₄₇	—	2	4	no	—
129	C₄²×C₄₇	C₂×D₄	1	2	yes	—
130	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
131	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
132	C₂²⋊Dic₄₇	—	2	4	no	—
133	(C₂×D₄₇)⋊C₄	—	2	8	no	—
134	C₄⋊Dic₄₇	—	2	4	no	—
135	C₄⋊Dic₄₇	—	2	8	no	—
136	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
137	Dic₄₇⋊C₄	—	2	8	no	—
138	Dic₄₇⋊C₄	—	2	8	no	—
139	Dic₄₇⋊C₄	—	2	8	no	—
140	Dic₄₇⋊C₄	—	2	8	no	—
141	C₄×Dic₄₇	—	2	4	no	—
142	C₄×Dic₄₇	—	2	8	no	—
143	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
144	C₄×Dic₄₇	C₂×D₄	1	4	yes	—
145	C₄×Dic₄₇	C₂×D₄	1	4	yes	—
146	C₄×Dic₄₇	C₂⁴	1	2	yes	—
147	C₂×C₄₇⋊C₈	C₂×Q₈	1	8	yes	complemented
148	C₂×C₄₇⋊C₈	C₂⁴	1	4	yes	—
149	#10625324	C₂×Q₈	1	16	yes	complemented
150	#10625324	C₂×Q₈	1	16	yes	complemented
151	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
152	C₂²×D₄₇	—	4	2	no	—
153	C₂²×D₄₇	C₄⋊Q₈	1	4	yes	—
154	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
155	Q₈×C₄₇	—	4	8	no	—
156	C₂×C₄×C₄₇	—	2	4	no	—
157	C₂×C₄×C₄₇	—	2	8	no	—
158	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
159	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
160	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
161	C₂×C₄×C₄₇	C₂²×Q₈	1	4	yes	—
162	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
163	C₂×Dic₄₇	—	2	8	no	—
164	C₂×Dic₄₇	—	4	2	no	—
165	C₂×Dic₄₇	C₄⋊Q₈	1	4	yes	—
166	C₂×Dic₄₇	C₂²×D₄	1	4	yes	—
167	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
168	C₄×D₄₇	—	2	8	no	—
169	C₄×D₄₇	—	4	4	no	—
170	C₄×D₄₇	—	4	16	no	—
171	C₄×D₄₇	C₄⋊Q₈	1	8	yes	—
172	C₄×D₄₇	C₂²×Q₈	1	8	yes	—
173	Dic₉₄	—	4	16	no	—
174	Dic₉₄	—	4	8	no	—
175	C₈×C₄₇	C₂²×Q₈	1	4	yes	—
176	C₈×C₄₇	C₂²×Q₈	1	4	yes	—
177	C₄₇⋊C₈	C₂²×Q₈	1	8	yes	—
178	#60663	—	47	1	no	maximal, Sylow
179	C₂²×C₄₇	—	2	2	no	—
180	C₂²×C₄₇	C₂×C₄⋊Q₈	1	2	yes	—
181	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
182	C₂×D₄₇	—	2	4	no	—
183	C₂×D₄₇	—	4	4	no	—
184	C₂×D₄₇	C₂×C₄⋊Q₈	1	4	yes	—
185	C₄×C₄₇	—	2	2	no	—
186	C₄×C₄₇	—	4	8	no	—
187	C₄×C₄₇	C₂×C₄⋊Q₈	1	2	yes	—
188	C₄×C₄₇	#575	1	4	yes	—
189	C₄×C₄₇	C₂³×Q₈	1	2	yes	—
190	Dic₄₇	—	2	4	no	—
191	Dic₄₇	—	4	8	no	—
192	Dic₄₇	C₂×C₄⋊Q₈	1	4	yes	—
193	C₂×#533	—	47	2	no	—
194	#3166	—	47	8	no	—
195	#3165	—	47	4	no	—
196	#3165	—	47	4	no	—
197	#3162	—	47	4	no	—
198	#3160	—	47	1	no	—
199	#3160	—	47	2	no	—
200	#3160	D₄₇	1	1	yes	characteristic, complemented
201	#2911	—	47	4	no	—
202	C₂×C₄×M₁₆	—	47	1	no	—
203	C₂×C₄₇	—	2	2	no	—
204	C₂×C₄₇	C₂²×C₄⋊Q₈	1	1	yes	characteristic
205	C₂×C₄₇	C₂×#575	1	2	yes	—
206	D₄₇	—	2	4	no	—
207	C₂²×M₁₆	—	47	2	no	—
208	#533	—	47	4	no	—
209	#533	—	47	4	no	—
210	#533	—	47	4	no	—
211	#533	—	47	2	no	—
212	#533	—	94	4	no	—
213	#533	—	94	4	no	—
214	#533	C₂×D₄₇	1	2	yes	—
215	C₂×C₄⋊Q₈	—	47	4	no	—
216	C₂×#125	—	47	4	no	—
217	C₂×C₂²⋊Q₈	—	94	4	no	—
218	C₂×C₄×Q₈	—	94	4	no	—
219	C₂×#117	—	47	4	no	—
220	C₂²×C₄²	—	47	1	no	—
221	#501	—	47	16	no	—
222	#501	—	47	16	no	—
223	#500	—	47	4	no	—
224	#500	—	47	2	no	—
225	#500	C₂×D₄₇	1	2	yes	complemented
226	#499	—	47	8	no	—
227	#499	—	47	4	no	—
228	#499	C₂×D₄₇	1	4	yes	complemented
229	#498	—	47	4	no	—
230	#498	—	47	2	no	—
231	#498	C₂×D₄₇	1	2	yes	complemented
232	#428	—	47	16	no	—
233	#428	—	47	16	no	—
234	#427	—	47	4	no	—
235	#427	—	47	8	no	—
236	#427	C₂×D₄₇	1	4	yes	—
237	C₄×M₁₆	—	47	2	no	—
238	C₄×M₁₆	—	47	2	no	—
239	C₄×M₁₆	—	47	4	no	—
240	C₂×#97	—	47	2	no	—
241	C₂×C₄×C₈	—	47	1	no	—
242	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
243	C₄₇	#60663	1	1	yes	characteristic, complemented, Sylow
244	C₂²×Q₈	—	94	4	no	—
245	C₂³×C₄	—	47	1	no	—
246	C₂³×C₄	—	47	2	no	—
247	C₂×M₁₆	—	47	16	no	—
248	C₂×M₁₆	—	47	4	no	—
249	C₂×M₁₆	—	47	4	no	—
250	C₂²×C₈	—	47	2	no	—
251	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
252	C₄⋊Q₈	—	47	8	no	—
253	C₄⋊Q₈	—	47	4	no	—
254	C₄⋊Q₈	—	94	4	no	—
255	C₄⋊Q₈	—	94	4	no	—
256	C₄⋊Q₈	C₂²×D₄₇	1	4	yes	—
257	#125	—	47	8	no	—
258	#125	—	47	4	no	—
259	#125	—	94	8	no	—
260	#125	C₂²×D₄₇	1	4	yes	—
261	C₂²⋊Q₈	—	2	4	no	—
262	C₂²⋊Q₈	—	94	8	no	—
263	C₂²⋊Q₈	—	94	8	no	—
264	C₂²⋊Q₈	—	94	4	no	—
265	C₂²⋊Q₈	—	94	4	no	—
266	C₂²⋊Q₈	—	94	4	no	—
267	C₄×Q₈	—	2	4	no	—
268	C₄×Q₈	—	94	8	no	—
269	C₄×Q₈	—	94	8	no	—
270	C₄×Q₈	—	94	4	no	—
271	C₄×Q₈	—	94	4	no	—
272	C₄×Q₈	—	94	4	no	—
273	#117	—	47	4	no	—
274	#117	—	47	8	no	—
275	#117	—	94	4	no	—
276	#117	—	94	4	no	—
277	#117	C₂²×D₄₇	1	4	yes	—
278	C₂×C₄⋊C₄	—	47	8	no	—
279	C₂×C₄⋊C₄	—	94	8	no	—
280	C₂×C₄⋊C₄	—	94	4	no	—
281	C₂×C₂²⋊C₄	—	94	4	no	—
282	C₂×C₄²	—	47	2	no	—
283	C₂×C₄²	—	47	1	no	—
284	C₂×C₄²	—	47	4	no	—
285	C₂×C₄²	—	47	2	no	—
286	C₂×C₄²	—	47	2	no	—
287	C₂×C₄²	—	94	4	no	—
288	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
289	#107	—	47	8	no	—
290	#107	—	47	16	no	—
291	#107	C₂²×D₄₇	1	8	yes	—
292	#106	—	47	8	no	—
293	#106	—	47	16	no	—
294	#106	C₂²×D₄₇	1	8	yes	—
295	#97	—	47	4	no	—
296	#97	—	47	4	no	—
297	C₄×C₈	—	47	2	no	—
298	C₄×C₈	—	47	2	no	—
299	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
300	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
301	C₄×C₈	C₂²×D₄₇	1	2	yes	—
302	C₂⁴	—	47	1	no	—
303	C₂×Q₈	—	2	4	no	—
304	C₂×Q₈	—	94	8	no	—
305	C₂×Q₈	—	94	4	no	—
306	C₂×Q₈	—	188	16	no	—
307	C₂²×C₄	—	47	1	no	—
308	C₂²×C₄	—	47	2	no	—
309	C₂²×C₄	—	47	8	no	—
310	C₂²×C₄	—	47	2	no	—
311	C₂²×C₄	—	47	2	no	—
312	C₂²×C₄	—	47	4	no	—
313	C₂²×C₄	—	47	4	no	—
314	C₂²×C₄	—	94	8	no	—
315	C₂²×C₄	—	188	4	no	—
316	C₂²×C₄	D₄×D₄₇	1	2	yes	—
317	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
318	M₁₆	—	47	16	no	—
319	M₁₆	—	47	16	no	—
320	C₂×C₈	—	47	8	no	—
321	C₂×C₈	—	47	4	no	—
322	C₂×C₈	Q₈×D₄₇	1	8	yes	complemented
323	C₂×C₈	C₂³×D₄₇	1	2	yes	—
324	C₂×C₈	C₂³×D₄₇	1	2	yes	—
325	C₄⋊C₄	—	2	8	no	—
326	C₄⋊C₄	—	2	4	no	—
327	C₄⋊C₄	—	47	8	no	—
328	C₄⋊C₄	—	94	8	no	—
329	C₄⋊C₄	—	94	8	no	—
330	C₄⋊C₄	—	94	8	no	—
331	C₄⋊C₄	—	94	8	no	—
332	C₄⋊C₄	—	94	8	no	—
333	C₄⋊C₄	—	94	4	no	—
334	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
335	C₂²⋊C₄	—	2	4	no	—
336	C₂²⋊C₄	—	94	8	no	—
337	C₂²⋊C₄	—	94	4	no	—
338	C₄²	—	2	4	no	—
339	C₄²	—	47	4	no	—
340	C₄²	—	47	4	no	—
341	C₄²	—	47	2	no	—
342	C₄²	—	47	2	no	—
343	C₄²	—	94	8	no	—
344	C₄²	—	94	4	no	—
345	C₄²	D₄×D₄₇	1	2	yes	—
346	C₄²	C₂³×D₄₇	1	1	yes	characteristic
347	C₄²	C₂³×D₄₇	1	1	yes	characteristic
348	C₂³	—	47	2	no	—
349	C₂³	—	47	4	no	—
350	C₂³	—	188	2	no	—
351	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
352	Q₈	—	4	8	no	—
353	Q₈	—	188	16	no	—
354	Q₈	—	188	8	no	—
355	C₂×C₄	—	2	4	no	—
356	C₂×C₄	—	2	8	no	—
357	C₂×C₄	—	47	4	no	—
358	C₂×C₄	—	47	2	no	—
359	C₂×C₄	—	47	8	no	—
360	C₂×C₄	—	47	8	no	—
361	C₂×C₄	—	47	4	no	—
362	C₂×C₄	—	94	8	no	—
363	C₂×C₄	—	94	8	no	—
364	C₂×C₄	—	188	4	no	—
365	C₂×C₄	—	188	16	no	—
366	C₂×C₄	—	188	2	no	—
367	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
368	C₂×C₄	C₂×D₄×D₄₇	1	2	yes	—
369	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
370	C₂×C₄	C₂×Q₈×D₄₇	1	4	yes	—
371	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
372	C₈	—	47	8	no	—
373	C₈	C₂×Q₈×D₄₇	1	4	yes	—
374	C₈	C₂×Q₈×D₄₇	1	4	yes	—
375	C₂²	—	2	2	no	—
376	C₂²	—	47	4	no	—
377	C₂²	—	94	4	no	—
378	C₂²	—	188	4	no	—
379	C₂²	C₄⋊Q₈×D₄₇	1	2	yes	—
380	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
381	C₄	—	2	2	no	—
382	C₄	—	4	8	no	—
383	C₄	—	47	4	no	—
384	C₄	—	94	4	no	—
385	C₄	—	188	8	no	—
386	C₄	C₄⋊Q₈×D₄₇	1	2	yes	—
387	C₄	#15689920	1	4	yes	—
388	C₄	C₂²×Q₈×D₄₇	1	2	yes	—
389	C₂	—	2	2	no	—
390	C₂	—	94	4	no	—
391	C₂	C₂×C₄⋊Q₈×D₄₇	1	1	yes	characteristic
392	C₂	C₂×#15689920	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄₇×#3160	C₂
socle	C₂²×C₄₇	C₂³×D₄
prime radical	C₂³×D₄₇	C₂×D₄
hypercenter	#3160	D₄₇
hypocenter	C₄₇	#60663
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3160

Complements

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

N	H ≅ G/N	type
2. #20253936	C₂	semidirect
3. #20253931	C₂	semidirect
4. #20253929	C₂	semidirect
5. #20253911	C₂	semidirect
6. #20253902	C₂	semidirect
7. #20253898	C₂	semidirect
10. C₄₇×#3160	C₂	semidirect
24. #15689531	C₂²	semidirect
25. #15689530	C₂²	semidirect
26. #15689528	C₂²	semidirect
27. #15689526	C₂²	semidirect
28. #15689525	C₂²	semidirect
29. #15689522	C₂²	semidirect
30. #15689521	C₂²	semidirect
31. #15689519	C₂²	semidirect
42. C₄₇×#500	C₂²	semidirect
43. C₄₇×#499	C₂²	semidirect
44. C₄₇×#498	C₂²	semidirect
50. C₂×#10625324	Q₈	semidirect
121. C₂×C₈×C₄₇	C₂×Q₈	semidirect
147. C₂×C₄₇⋊C₈	C₂×Q₈	semidirect
149. #10625324	C₂×Q₈	semidirect
150. #10625324	C₂×Q₈	semidirect
200. #3160	D₄₇	semidirect
225. #500	C₂×D₄₇	semidirect
228. #499	C₂×D₄₇	semidirect
231. #498	C₂×D₄₇	semidirect
243. C₄₇	#60663	semidirect
322. C₂×C₈	Q₈×D₄₇	semidirect

Maximal subgroups

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

subgroup	index
#533×D₄₇	2
#20253936	2
#20253931	2
#20253929	2
#20253911	2
#20253902	2
#20253898	2
#20251976	2
C₂×C₄×#10625324	2
C₄₇×#3160	2
#60663	47