Subgroups — #26207743

Order 12032.

724 conjugacy classes of subgroups.

The subgroup lattice has 436 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20255811	C₂	1	1	yes	maximal, characteristic, complemented
2	#20255632	C₂	1	2	yes	maximal, complemented
3	D₄×D₃₇₆	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242980	C₂	1	1	yes	maximal, characteristic, complemented
5	#20242922	C₂	1	2	yes	maximal, complemented
6	#20242787	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242743	C₂	1	1	yes	maximal, characteristic, complemented
8	#20242506	C₂	1	2	yes	maximal, complemented
9	#20242473	C₂	1	2	yes	maximal, complemented
10	#20242274	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈×D₈×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×D₃₇₆	—	2	1	no	—
13	#15689838	C₂²	1	2	yes	complemented
14	D₄×D₁₈₈	C₂²	1	2	yes	—
15	#15689528	C₂²	1	1	yes	characteristic, complemented
16	#15689500	C₂²	1	1	yes	characteristic
17	#15689496	C₂²	1	2	yes	complemented
18	#15689470	C₂²	1	2	yes	complemented
19	#15689450	—	2	2	no	—
20	#15689448	—	2	2	no	—
21	#15689414	C₂²	1	2	yes	complemented
22	#15689413	C₂²	1	2	yes	—
23	#15689375	—	2	2	no	—
24	#15689359	—	2	1	no	—
25	#15689359	—	2	1	no	—
26	#15689319	C₂²	1	2	yes	—
27	#15689318	C₂²	1	2	yes	complemented
28	#15689259	—	2	2	no	—
29	#15689255	—	2	2	no	—
30	C₄×D₃₇₆	C₂²	1	1	yes	characteristic
31	#15689202	C₂²	1	2	yes	complemented
32	#15689161	—	2	1	no	—
33	#15689126	—	2	2	no	—
34	#15688876	C₂²	1	1	yes	characteristic, complemented
35	#15688871	C₂²	1	2	yes	complemented
36	#15688866	C₂²	1	2	yes	complemented
37	#15688852	C₂²	1	2	yes	complemented
38	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
39	C₈×D₄×C₄₇	C₂²	1	1	yes	characteristic
40	C₈×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
41	C₄₇×#335	C₂²	1	1	yes	characteristic, complemented
42	C₄₇×D₄⋊C₈	C₂²	1	1	yes	characteristic
43	C₄₇×D₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
44	C₈²×C₄₇	C₂²	1	1	yes	characteristic, complemented
45	C₂²×D₁₈₈	—	2	2	no	—
46	C₂×D₄×D₄₇	—	2	2	no	—
47	C₂×#10625325	—	4	2	no	—
48	C₂×D₃₇₆	—	2	2	no	—
49	C₂×D₃₇₆	—	2	1	no	—
50	C₂×D₃₇₆	—	2	1	no	—
51	C₂×D₃₇₆	—	4	4	no	—
52	C₂×D₃₇₆	D₄	1	1	yes	characteristic
53	C₂×#10625334	—	2	2	no	—
54	C₂×#10625324	—	2	2	no	—
55	#13094024	C₂³	1	2	yes	—
56	#13094021	C₂³	1	2	yes	—
57	#13094010	—	4	2	no	—
58	#13093999	—	2	2	no	—
59	#13093998	—	2	2	no	—
60	#13093998	—	2	2	no	—
61	#13093995	—	2	2	no	—
62	#13093994	—	4	2	no	—
63	C₄×D₁₈₈	C₂³	1	2	yes	—
64	#13093983	—	2	2	no	—
65	#13093982	—	2	2	no	—
66	#13093958	—	2	1	no	—
67	#13093958	—	2	1	no	—
68	#13093958	D₄	1	1	yes	characteristic
69	#13093956	—	2	2	no	—
70	#13093955	—	2	2	no	—
71	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
72	#13093946	—	2	2	no	—
73	#13093946	—	2	2	no	—
74	#13093946	—	2	2	no	—
75	#13093946	—	2	2	no	—
76	#13093946	D₄	1	2	yes	—
77	#13093945	—	2	2	no	—
78	#13093944	—	2	2	no	—
79	(C₂×D₄₇)⋊C₈	—	2	2	no	—
80	C₂×D₈×C₄₇	D₄	1	1	yes	characteristic
81	C₂²×C₈×C₄₇	—	2	1	no	—
82	C₂²×C₈×C₄₇	—	2	1	no	—
83	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
84	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
85	#107×C₄₇	D₄	1	1	yes	characteristic
86	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
87	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
88	#102×C₄₇	D₄	1	1	yes	characteristic
89	#102×C₄₇	D₄	1	1	yes	characteristic
90	C₂²⋊C₈×C₄₇	—	2	1	no	—
91	C₂²⋊C₈×C₄₇	—	2	1	no	—
92	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
93	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
94	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
95	C₂³×D₄₇	—	4	2	no	—
96	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
97	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₄₇	—	2	1	no	—
99	C₂²×C₄×C₄₇	—	2	1	no	—
100	C₂×C₂²⋊D₄₇	—	4	2	no	—
101	C₂×C₂²⋊D₄₇	—	4	2	no	—
102	D₄×D₄₇	—	4	4	no	—
103	D₄×D₄₇	—	8	2	no	—
104	C₂×D₁₈₈	—	2	2	no	—
105	C₂×D₁₈₈	—	2	2	no	—
106	C₂×D₁₈₈	—	2	2	no	—
107	C₂×D₁₈₈	—	4	4	no	—
108	C₂×D₁₈₈	—	4	2	no	—
109	C₂×D₁₈₈	—	8	2	no	—
110	C₂×D₁₈₈	C₂×D₄	1	2	yes	—
111	C₂×C₄×D₄₇	—	2	2	no	—
112	C₂×Dic₉₄	—	2	2	no	—
113	D₈×C₄₇	—	2	2	no	—
114	C₂×C₈×C₄₇	—	2	1	no	—
115	C₂×C₈×C₄₇	—	2	1	no	—
116	C₂×C₈×C₄₇	—	2	1	no	—
117	C₂×C₈×C₄₇	—	4	2	no	—
118	C₂×C₈×C₄₇	—	4	2	no	—
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	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
123	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
124	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
125	C₂²⋊C₄×C₄₇	—	2	1	no	—
126	C₂²⋊C₄×C₄₇	—	2	1	no	—
127	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
128	C₂²⋊Dic₄₇	—	4	2	no	—
129	#10625334	—	8	2	no	—
130	(C₂×D₄₇)⋊C₄	—	2	2	no	—
131	(C₂×D₄₇)⋊C₄	—	4	2	no	—
132	(C₂×D₄₇)⋊C₄	—	4	2	no	—
133	C₄⋊Dic₄₇	—	2	2	no	—
134	C₄⋊Dic₄₇	—	2	2	no	—
135	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
136	C₄×Dic₄₇	—	4	2	no	—
137	C₂×C₄₇⋊C₈	—	2	2	no	—
138	D₃₇₆	—	2	2	no	—
139	D₃₇₆	—	4	4	no	—
140	D₃₇₆	—	4	2	no	—
141	D₃₇₆	—	8	1	no	—
142	#10625325	—	8	4	no	—
143	#10625324	—	8	2	no	—
144	C₂³×C₄₇	—	2	1	no	—
145	C₂³×C₄₇	—	2	1	no	—
146	C₂²×D₄₇	—	2	2	no	—
147	C₂²×D₄₇	—	4	2	no	—
148	C₂²×D₄₇	—	8	4	no	—
149	C₂²×D₄₇	—	8	4	no	—
150	C₂²×D₄₇	—	16	2	no	—
151	D₄×C₄₇	—	2	1	no	—
152	D₄×C₄₇	—	2	1	no	—
153	D₄×C₄₇	—	2	1	no	—
154	D₄×C₄₇	#135	1	2	yes	—
155	C₂×C₄×C₄₇	—	2	1	no	—
156	C₂×C₄×C₄₇	—	2	1	no	—
157	C₂×C₄×C₄₇	—	4	1	no	—
158	C₂×C₄×C₄₇	—	4	1	no	—
159	C₂×C₄×C₄₇	—	4	1	no	—
160	C₂×C₄×C₄₇	—	4	1	no	—
161	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
162	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₄×C₄₇	H(5,𝔽₂)	1	1	yes	characteristic
164	C₂²⋊D₄₇	—	8	4	no	—
165	C₂²⋊D₄₇	—	16	2	no	—
166	C₂×Dic₄₇	—	2	2	no	—
167	C₂×Dic₄₇	—	4	2	no	—
168	D₁₈₈	—	2	2	no	—
169	D₁₈₈	—	2	2	no	—
170	D₁₈₈	—	4	2	no	—
171	D₁₈₈	—	4	2	no	—
172	D₁₈₈	—	4	2	no	—
173	D₁₈₈	—	4	2	no	—
174	D₁₈₈	—	8	2	no	—
175	D₁₈₈	—	8	4	no	—
176	C₄×D₄₇	—	4	2	no	—
177	C₄×D₄₇	—	4	2	no	—
178	Dic₉₄	—	8	2	no	—
179	C₈×C₄₇	—	2	2	no	—
180	C₈×C₄₇	—	2	1	no	—
181	C₈×C₄₇	—	2	1	no	—
182	C₈×C₄₇	—	2	1	no	—
183	C₈×C₄₇	—	4	1	no	—
184	C₈×C₄₇	—	4	1	no	—
185	C₈×C₄₇	AGL(1,ℤ/8)	1	2	yes	—
186	C₄₇⋊C₈	—	4	2	no	—
187	#19898	—	47	1	no	maximal, Sylow
188	C₂²×C₄₇	—	2	2	no	—
189	C₂²×C₄₇	—	4	1	no	—
190	C₂²×C₄₇	—	4	1	no	—
191	C₂²×C₄₇	—	4	1	no	—
192	C₂²×C₄₇	—	4	1	no	—
193	C₂²×C₄₇	—	4	1	no	—
194	C₂²×C₄₇	D₄²	1	1	yes	characteristic
195	C₂×D₄₇	—	4	2	no	—
196	C₂×D₄₇	—	4	2	no	—
197	C₂×D₄₇	—	4	2	no	—
198	C₂×D₄₇	—	8	2	no	—
199	C₂×D₄₇	—	8	2	no	—
200	C₂×D₄₇	—	8	2	no	—
201	C₂×D₄₇	—	16	8	no	—
202	C₄×C₄₇	—	2	1	no	—
203	C₄×C₄₇	—	4	1	no	—
204	C₄×C₄₇	—	4	1	no	—
205	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
206	C₄×C₄₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
207	C₄×C₄₇	#576	1	1	yes	characteristic
208	C₄×C₄₇	#577	1	1	yes	characteristic
209	Dic₄₇	—	4	2	no	—
210	Dic₄₇	—	8	2	no	—
211	#3341	—	47	1	no	—
212	#3325	—	47	2	no	—
213	D₄×D₈	—	47	1	no	—
214	#1706	—	47	1	no	—
215	#1697	—	47	2	no	—
216	#1675	—	47	1	no	—
217	#1667	—	47	1	no	—
218	#1629	—	47	2	no	—
219	#1624	—	47	2	no	—
220	#1589	—	47	1	no	—
221	C₈×D₈	D₄₇	1	1	yes	characteristic, complemented
222	C₂×C₄₇	—	4	2	no	—
223	C₂×C₄₇	—	8	1	no	—
224	C₂×C₄₇	#3272	1	1	yes	characteristic
225	C₂×C₄₇	#3280	1	1	yes	characteristic
226	C₂×C₄₇	#3292	1	1	yes	characteristic
227	D₄₇	—	8	2	no	—
228	D₄₇	—	16	2	no	—
229	C₂²×D₈	—	94	1	no	—
230	#555	—	47	2	no	—
231	D₄²	—	47	2	no	—
232	#500	—	47	1	no	—
233	#493	—	47	1	no	—
234	#492	—	47	2	no	—
235	#486	—	47	2	no	—
236	#482	—	94	2	no	—
237	#482	—	94	2	no	—
238	#476	—	47	2	no	—
239	#476	—	47	2	no	—
240	#469	—	94	2	no	—
241	#466	—	94	1	no	—
242	#466	—	94	1	no	—
243	#459	—	47	2	no	—
244	#459	—	47	2	no	—
245	#447	—	94	2	no	—
246	#447	—	94	2	no	—
247	C₄×D₈	—	47	1	no	—
248	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
249	#436	—	47	2	no	—
250	C₈×D₄	C₂×D₄₇	1	1	yes	characteristic
251	C₈×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
252	#427	—	94	1	no	—
253	#418	—	94	2	no	—
254	#335	—	47	1	no	—
255	#335	C₂×D₄₇	1	1	yes	characteristic, complemented
256	#333	—	47	2	no	—
257	#331	—	47	2	no	—
258	D₄⋊C₈	—	47	2	no	—
259	D₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic
260	D₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
261	C₈²	C₂×D₄₇	1	1	yes	characteristic, complemented
262	C₄₇	#19898	1	1	yes	characteristic, complemented, Sylow
263	C₂²×D₄	—	94	2	no	—
264	C₂²×D₄	—	94	2	no	—
265	C₂×SD₁₆	—	188	2	no	—
266	C₂×D₈	—	47	1	no	—
267	C₂×D₈	—	94	2	no	—
268	C₂×D₈	—	94	2	no	—
269	C₂×D₈	—	94	1	no	—
270	C₂×D₈	—	94	1	no	—
271	C₂×D₈	—	188	4	no	—
272	C₂×D₈	D₁₈₈	1	1	yes	characteristic
273	C₂×M₁₆	—	94	2	no	—
274	C₂²×C₈	—	2	1	no	—
275	C₂²×C₈	—	2	1	no	—
276	C₄⋊Q₈	—	47	2	no	—
277	#127	—	47	2	no	—
278	#124	—	188	2	no	—
279	#121	—	94	2	no	—
280	#121	—	94	2	no	—
281	#121	—	94	2	no	—
282	#121	—	94	2	no	—
283	#120	—	188	2	no	—
284	C₄×D₄	—	47	2	no	—
285	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
286	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
287	#117	—	94	2	no	—
288	#117	—	94	2	no	—
289	#107	—	47	1	no	—
290	#107	—	94	1	no	—
291	#107	—	94	1	no	—
292	#107	D₁₈₈	1	1	yes	characteristic
293	#106	—	94	2	no	—
294	#106	—	94	2	no	—
295	C₄⋊C₈	—	47	2	no	—
296	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
297	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
298	#102	—	47	2	no	—
299	#102	—	94	2	no	—
300	#102	—	94	2	no	—
301	#102	—	94	2	no	—
302	#102	—	94	2	no	—
303	#102	—	94	2	no	—
304	#102	—	94	2	no	—
305	#102	D₁₈₈	1	1	yes	characteristic
306	#102	D₁₈₈	1	1	yes	characteristic
307	C₂²⋊C₈	—	2	1	no	—
308	C₂²⋊C₈	—	2	1	no	—
309	C₂²⋊C₈	—	94	2	no	—
310	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
311	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
312	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
313	C₂⁴	—	188	2	no	—
314	C₂×Q₈	—	94	2	no	—
315	C₂×D₄	—	47	2	no	—
316	C₂×D₄	—	94	2	no	—
317	C₂×D₄	—	94	2	no	—
318	C₂×D₄	—	94	2	no	—
319	C₂×D₄	—	376	2	no	—
320	C₂×D₄	—	376	2	no	—
321	C₂×D₄	—	188	2	no	—
322	C₂×D₄	—	188	4	no	—
323	C₂×D₄	—	188	2	no	—
324	C₂×D₄	—	188	4	no	—
325	C₂×D₄	—	188	2	no	—
326	C₂×D₄	C₂×D₁₈₈	1	1	yes	characteristic
327	C₂×D₄	C₂×D₁₈₈	1	1	yes	characteristic
328	C₂²×C₄	—	2	1	no	—
329	C₂²×C₄	—	2	1	no	—
330	C₂²×C₄	—	94	2	no	—
331	SD₁₆	—	376	4	no	—
332	D₈	—	2	2	no	—
333	D₈	—	94	2	no	—
334	D₈	—	376	1	no	—
335	D₈	—	376	2	no	—
336	D₈	—	188	4	no	—
337	D₈	—	188	2	no	—
338	M₁₆	—	376	2	no	—
339	C₂×C₈	—	2	1	no	—
340	C₂×C₈	—	2	1	no	—
341	C₂×C₈	—	2	1	no	—
342	C₂×C₈	—	4	2	no	—
343	C₂×C₈	—	4	2	no	—
344	C₂×C₈	—	94	2	no	—
345	C₂×C₈	C₂×D₁₈₈	1	1	yes	characteristic
346	C₂×C₈	C₂×D₁₈₈	1	1	yes	characteristic
347	C₂×C₈	D₄×D₄₇	1	1	yes	characteristic
348	C₂×C₈	D₄×D₄₇	1	1	yes	characteristic
349	C₄⋊C₄	—	47	2	no	—
350	C₄⋊C₄	—	94	2	no	—
351	C₄⋊C₄	—	94	2	no	—
352	C₄⋊C₄	C₂×D₁₈₈	1	1	yes	characteristic
353	C₄⋊C₄	C₂×D₁₈₈	1	1	yes	characteristic
354	C₂²⋊C₄	—	2	1	no	—
355	C₂²⋊C₄	—	2	1	no	—
356	C₂²⋊C₄	—	94	2	no	—
357	C₂²⋊C₄	—	188	2	no	—
358	C₂²⋊C₄	—	188	2	no	—
359	C₂²⋊C₄	—	188	2	no	—
360	C₄²	—	188	2	no	—
361	C₄²	C₂³×D₄₇	1	1	yes	characteristic
362	C₂³	—	2	1	no	—
363	C₂³	—	2	1	no	—
364	C₂³	—	94	2	no	—
365	C₂³	—	376	4	no	—
366	C₂³	—	376	4	no	—
367	C₂³	—	188	2	no	—
368	C₂³	—	752	2	no	—
369	Q₈	—	376	2	no	—
370	D₄	—	2	1	no	—
371	D₄	—	2	1	no	—
372	D₄	—	2	1	no	—
373	D₄	—	94	2	no	—
374	D₄	—	94	2	no	—
375	D₄	—	376	2	no	—
376	D₄	—	376	4	no	—
377	D₄	—	376	4	no	—
378	D₄	—	188	2	no	—
379	D₄	—	188	2	no	—
380	D₄	—	188	2	no	—
381	D₄	—	188	2	no	—
382	D₄	—	752	2	no	—
383	D₄	#13094046	1	2	yes	—
384	C₂×C₄	—	2	1	no	—
385	C₂×C₄	—	2	1	no	—
386	C₂×C₄	—	4	1	no	—
387	C₂×C₄	—	4	1	no	—
388	C₂×C₄	—	4	1	no	—
389	C₂×C₄	—	4	1	no	—
390	C₂×C₄	—	94	2	no	—
391	C₂×C₄	—	188	2	no	—
392	C₂×C₄	—	188	2	no	—
393	C₂×C₄	—	188	2	no	—
394	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
395	C₂×C₄	C₂²×D₁₈₈	1	1	yes	characteristic
396	C₂×C₄	#13094070	1	1	yes	characteristic
397	C₈	—	2	2	no	—
398	C₈	—	2	1	no	—
399	C₈	—	2	1	no	—
400	C₈	—	2	1	no	—
401	C₈	—	4	1	no	—
402	C₈	—	4	1	no	—
403	C₈	—	188	2	no	—
404	C₈	#13094048	1	2	yes	—
405	C₂²	—	2	2	no	—
406	C₂²	—	4	1	no	—
407	C₂²	—	4	1	no	—
408	C₂²	—	4	1	no	—
409	C₂²	—	4	1	no	—
410	C₂²	—	4	1	no	—
411	C₂²	—	376	2	no	—
412	C₂²	—	376	2	no	—
413	C₂²	—	376	2	no	—
414	C₂²	—	188	2	no	—
415	C₂²	—	188	2	no	—
416	C₂²	—	188	2	no	—
417	C₂²	—	752	8	no	—
418	C₂²	D₄×D₁₈₈	1	1	yes	characteristic
419	C₄	—	2	1	no	—
420	C₄	—	4	1	no	—
421	C₄	—	4	1	no	—
422	C₄	—	376	2	no	—
423	C₄	—	188	2	no	—
424	C₄	C₂×#13094046	1	1	yes	characteristic
425	C₄	C₂×#13094048	1	1	yes	characteristic
426	C₄	#15689928	1	1	yes	characteristic
427	C₄	#15689930	1	1	yes	characteristic
428	C₂	—	4	2	no	—
429	C₂	—	8	1	no	—
430	C₂	—	376	2	no	—
431	C₂	—	752	2	no	—
432	C₂	#20254989	1	1	yes	characteristic
433	C₂	#20255075	1	1	yes	characteristic
434	C₂	#20255188	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	D₄×D₁₈₈
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting	C₈×D₈×C₄₇	C₂
socle	C₂²×C₄₇	D₄²
hypercenter	C₈×D₈	D₄₇
hypocenter	C₄₇	#19898
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₄² ◁ C₈×D₈

Complements

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

N	H ≅ G/N	type
1. #20255811	C₂	semidirect
2. #20255632	C₂	semidirect
3. D₄×D₃₇₆	C₂	semidirect
4. #20242980	C₂	semidirect
5. #20242922	C₂	semidirect
6. #20242787	C₂	semidirect
7. #20242743	C₂	semidirect
8. #20242506	C₂	semidirect
9. #20242473	C₂	semidirect
10. #20242274	C₂	semidirect
11. C₈×D₈×C₄₇	C₂	semidirect
13. #15689838	C₂²	semidirect
15. #15689528	C₂²	semidirect
17. #15689496	C₂²	semidirect
18. #15689470	C₂²	semidirect
21. #15689414	C₂²	semidirect
27. #15689318	C₂²	semidirect
31. #15689202	C₂²	semidirect
34. #15688876	C₂²	semidirect
35. #15688871	C₂²	semidirect
36. #15688866	C₂²	semidirect
37. #15688852	C₂²	semidirect
40. C₈×D₄×C₄₇	C₂²	semidirect
41. C₄₇×#335	C₂²	semidirect
43. C₄₇×D₄⋊C₈	C₂²	semidirect
44. C₈²×C₄₇	C₂²	semidirect
221. C₈×D₈	D₄₇	semidirect
251. C₈×D₄	C₂×D₄₇	semidirect
255. #335	C₂×D₄₇	semidirect
260. D₄⋊C₈	C₂×D₄₇	semidirect
261. C₈²	C₂×D₄₇	semidirect
262. C₄₇	#19898	semidirect

Maximal subgroups

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

subgroup	index
#20255811	2
#20255632	2
D₄×D₃₇₆	2
#20242980	2
#20242922	2
#20242787	2
#20242743	2
#20242506	2
#20242473	2
#20242274	2
C₈×D₈×C₄₇	2
#19898	47