Subgroups — #26207738

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	#20255812	C₂	1	1	yes	maximal, characteristic, complemented
2	#20255630	C₂	1	2	yes	maximal, complemented
3	#20242977	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242919	C₂	1	2	yes	maximal, complemented
5	#20242787	C₂	1	1	yes	maximal, characteristic, complemented
6	#20242740	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242504	C₂	1	2	yes	maximal, complemented
8	#20242470	C₂	1	2	yes	maximal, complemented
9	#20242273	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈×#10625334	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×D₈×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
12	#15689838	C₂²	1	2	yes	complemented
13	#15689528	C₂²	1	1	yes	characteristic, complemented
14	#15689495	C₂²	1	2	yes	complemented
15	#15689469	C₂²	1	2	yes	complemented
16	#15689445	—	2	2	no	—
17	#15689444	—	2	2	no	—
18	#15689413	C₂²	1	2	yes	—
19	#15689413	C₂²	1	2	yes	complemented
20	#15689374	—	2	2	no	—
21	#15689356	—	2	1	no	—
22	#15689315	C₂²	1	2	yes	complemented
23	#15689257	—	2	2	no	—
24	C₄×#10625334	C₂²	1	1	yes	characteristic
25	#15689201	C₂²	1	2	yes	complemented
26	C₈×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
27	#15689160	—	2	1	no	—
28	#15689128	—	2	2	no	—
29	#15688876	C₂²	1	1	yes	characteristic, complemented
30	#15688875	C₂²	1	1	yes	characteristic, complemented
31	#15688871	C₂²	1	2	yes	complemented
32	#15688867	C₂²	1	2	yes	complemented
33	D₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
34	D₄⋊(C₄₇⋊C₈)	C₂²	1	2	yes	complemented
35	#15688850	C₂²	1	1	yes	characteristic, complemented
36	C₈×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
37	C₂²×D₈×C₄₇	—	2	1	no	—
38	D₄²×C₄₇	C₂²	1	2	yes	—
39	C₄₇×#493	C₂²	1	1	yes	characteristic
40	C₄₇×#466	—	2	1	no	—
41	C₄₇×#459	C₂²	1	2	yes	—
42	C₄₇×#447	—	2	2	no	—
43	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
44	C₈×D₄×C₄₇	C₂²	1	1	yes	characteristic
45	C₂×#10625335	—	4	2	no	—
46	C₂×#10625334	—	2	2	no	—
47	C₂×#10625334	D₄	1	1	yes	characteristic
48	C₂×#10625329	—	2	2	no	—
49	C₂×C₈×D₄₇	—	2	1	no	—
50	#13094024	C₂³	1	2	yes	—
51	#13094010	—	4	2	no	—
52	#13093998	—	2	2	no	—
53	#13093995	—	2	2	no	—
54	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
55	#13093983	—	2	2	no	—
56	#13093982	—	2	2	no	—
57	#13093958	—	2	1	no	—
58	#13093958	—	2	1	no	—
59	#13093957	D₄	1	1	yes	characteristic
60	#13093955	—	2	2	no	—
61	#13093955	—	2	2	no	—
62	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
63	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
64	#13093945	—	2	2	no	—
65	#13093945	—	2	2	no	—
66	#13093945	—	2	2	no	—
67	#13093945	—	2	2	no	—
68	#13093945	—	2	2	no	—
69	#13093945	D₄	1	1	yes	characteristic
70	#13093944	D₄	1	1	yes	characteristic
71	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
72	(C₂×D₄₇)⋊C₈	—	2	1	no	—
73	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
74	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
75	C₂²×D₄×C₄₇	—	2	2	no	—
76	C₂²×D₄×C₄₇	—	2	2	no	—
77	C₂×D₈×C₄₇	—	2	2	no	—
78	C₂×D₈×C₄₇	—	2	1	no	—
79	C₂×D₈×C₄₇	—	2	1	no	—
80	C₂×D₈×C₄₇	—	4	4	no	—
81	C₂×D₈×C₄₇	D₄	1	1	yes	characteristic
82	C₂²×C₈×C₄₇	—	2	1	no	—
83	#127×C₄₇	C₂³	1	2	yes	—
84	#121×C₄₇	—	2	2	no	—
85	#121×C₄₇	—	2	2	no	—
86	#120×C₄₇	—	4	2	no	—
87	C₄×D₄×C₄₇	C₂³	1	2	yes	—
88	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
89	#107×C₄₇	D₄	1	1	yes	characteristic
90	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
91	#102×C₄₇	—	2	2	no	—
92	#102×C₄₇	D₄	1	2	yes	—
93	C₂²⋊C₈×C₄₇	—	2	1	no	—
94	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
95	C₂⁴×C₄₇	—	4	2	no	—
96	C₂×D₄×C₄₇	—	2	2	no	—
97	C₂×D₄×C₄₇	—	2	2	no	—
98	C₂×D₄×C₄₇	—	2	2	no	—
99	C₂×D₄×C₄₇	—	4	2	no	—
100	C₂×D₄×C₄₇	—	4	2	no	—
101	C₂×D₄×C₄₇	—	4	4	no	—
102	C₂×D₄×C₄₇	—	4	4	no	—
103	C₂×D₄×C₄₇	—	8	2	no	—
104	C₂×D₄×C₄₇	—	8	2	no	—
105	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
106	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
107	C₂²×C₄×C₄₇	—	2	1	no	—
108	C₂²×C₄×C₄₇	—	2	2	no	—
109	C₂×C₂²⋊D₄₇	—	4	2	no	—
110	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
111	C₂×C₄×D₄₇	—	2	1	no	—
112	C₂×Dic₉₄	—	2	2	no	—
113	D₈×C₄₇	—	2	2	no	—
114	D₈×C₄₇	—	4	4	no	—
115	D₈×C₄₇	—	4	2	no	—
116	D₈×C₄₇	—	8	1	no	—
117	C₂×C₈×C₄₇	—	2	1	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	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
122	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
123	C₂²⋊C₄×C₄₇	—	2	1	no	—
124	C₂²⋊C₄×C₄₇	—	2	2	no	—
125	C₂²⋊C₄×C₄₇	—	4	2	no	—
126	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
127	C₂²⋊Dic₄₇	—	4	2	no	—
128	#10625335	—	8	4	no	—
129	#10625334	—	2	2	no	—
130	#10625334	—	8	2	no	—
131	(C₂×D₄₇)⋊C₄	—	2	1	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	1	yes	characteristic
136	C₄×Dic₄₇	—	4	2	no	—
137	#10625329	—	8	2	no	—
138	C₂×C₄₇⋊C₈	—	2	1	no	—
139	C₂×C₄₇⋊C₈	—	2	1	no	—
140	C₂×C₄₇⋊C₈	—	2	2	no	—
141	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
142	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
143	C₈×D₄₇	—	4	2	no	—
144	C₂³×C₄₇	—	2	1	no	—
145	C₂³×C₄₇	—	2	2	no	—
146	C₂³×C₄₇	—	4	2	no	—
147	C₂³×C₄₇	—	8	4	no	—
148	C₂³×C₄₇	—	8	4	no	—
149	C₂³×C₄₇	—	16	2	no	—
150	C₂²×D₄₇	—	2	1	no	—
151	D₄×C₄₇	—	2	2	no	—
152	D₄×C₄₇	—	2	1	no	—
153	D₄×C₄₇	—	2	2	no	—
154	D₄×C₄₇	—	4	2	no	—
155	D₄×C₄₇	—	4	2	no	—
156	D₄×C₄₇	—	4	2	no	—
157	D₄×C₄₇	—	4	2	no	—
158	D₄×C₄₇	—	8	2	no	—
159	D₄×C₄₇	—	8	4	no	—
160	D₄×C₄₇	—	8	4	no	—
161	D₄×C₄₇	#135	1	2	yes	—
162	C₂×C₄×C₄₇	—	2	2	no	—
163	C₂×C₄×C₄₇	—	2	1	no	—
164	C₂×C₄×C₄₇	—	4	2	no	—
165	C₂×C₄×C₄₇	—	4	1	no	—
166	C₂×C₄×C₄₇	—	4	2	no	—
167	C₂×C₄×C₄₇	—	4	1	no	—
168	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
169	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
170	C₂×C₄×C₄₇	H(5,𝔽₂)	1	1	yes	characteristic
171	C₂²⋊D₄₇	—	16	2	no	—
172	C₂×Dic₄₇	—	2	1	no	—
173	C₂×Dic₄₇	—	4	2	no	—
174	D₁₈₈	—	2	1	no	—
175	D₁₈₈	—	2	1	no	—
176	C₄×D₄₇	—	4	1	no	—
177	C₄×D₄₇	—	4	1	no	—
178	Dic₉₄	—	8	2	no	—
179	C₈×C₄₇	—	2	1	no	—
180	C₈×C₄₇	—	4	1	no	—
181	C₈×C₄₇	AGL(1,ℤ/8)	1	2	yes	—
182	C₄₇⋊C₈	—	2	2	no	—
183	C₄₇⋊C₈	—	2	1	no	—
184	C₄₇⋊C₈	—	2	1	no	—
185	C₄₇⋊C₈	—	4	1	no	—
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	2	no	—
192	C₂²×C₄₇	—	4	2	no	—
193	C₂²×C₄₇	—	4	2	no	—
194	C₂²×C₄₇	—	8	2	no	—
195	C₂²×C₄₇	—	8	2	no	—
196	C₂²×C₄₇	—	8	2	no	—
197	C₂²×C₄₇	—	16	8	no	—
198	C₂²×C₄₇	D₄²	1	1	yes	characteristic
199	C₂×D₄₇	—	4	1	no	—
200	C₂×D₄₇	—	4	1	no	—
201	C₂×D₄₇	—	4	1	no	—
202	C₄×C₄₇	—	2	1	no	—
203	C₄×C₄₇	—	4	1	no	—
204	C₄×C₄₇	—	4	2	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	1	no	—
210	Dic₄₇	—	8	2	no	—
211	#3341	—	47	1	no	—
212	#3325	—	47	2	no	—
213	D₄×D₈	D₄₇	1	1	yes	characteristic, complemented
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	—	47	1	no	—
222	C₂×C₄₇	—	4	2	no	—
223	C₂×C₄₇	—	8	2	no	—
224	C₂×C₄₇	—	16	2	no	—
225	C₂×C₄₇	#3272	1	1	yes	characteristic
226	C₂×C₄₇	#3280	1	1	yes	characteristic
227	C₂×C₄₇	#3292	1	1	yes	characteristic
228	D₄₇	—	8	1	no	—
229	C₂²×D₈	—	2	1	no	—
230	#555	—	47	2	no	—
231	D₄²	C₂×D₄₇	1	2	yes	—
232	#500	—	47	1	no	—
233	#493	C₂×D₄₇	1	1	yes	characteristic
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	—	2	1	no	—
242	#466	—	94	1	no	—
243	#459	—	47	2	no	—
244	#459	C₂×D₄₇	1	2	yes	—
245	#447	—	2	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	—	47	1	no	—
251	C₈×D₄	C₂×D₄₇	1	1	yes	characteristic
252	#427	—	94	1	no	—
253	#418	—	94	2	no	—
254	#335	—	47	1	no	—
255	#335	—	47	1	no	—
256	#333	—	47	2	no	—
257	#331	—	47	2	no	—
258	D₄⋊C₈	—	47	1	no	—
259	D₄⋊C₈	—	47	2	no	—
260	D₄⋊C₈	—	47	1	no	—
261	C₈²	—	47	1	no	—
262	C₄₇	#19898	1	1	yes	characteristic, complemented, Sylow
263	C₂²×D₄	—	2	2	no	—
264	C₂²×D₄	—	2	2	no	—
265	C₂×SD₁₆	—	188	2	no	—
266	C₂×D₈	—	2	2	no	—
267	C₂×D₈	—	2	1	no	—
268	C₂×D₈	—	2	1	no	—
269	C₂×D₈	—	4	4	no	—
270	C₂×D₈	—	47	1	no	—
271	C₂×D₈	—	94	2	no	—
272	C₂×D₈	C₂²⋊D₄₇	1	1	yes	characteristic
273	C₂×M₁₆	—	94	2	no	—
274	C₂²×C₈	—	2	1	no	—
275	C₂²×C₈	—	94	1	no	—
276	C₄⋊Q₈	—	47	2	no	—
277	#127	C₂²×D₄₇	1	2	yes	—
278	#124	—	188	2	no	—
279	#121	—	2	2	no	—
280	#121	—	2	2	no	—
281	#121	—	94	2	no	—
282	#121	—	94	2	no	—
283	#120	—	4	2	no	—
284	C₄×D₄	—	47	1	no	—
285	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
286	C₄×D₄	C₂²×D₄₇	1	2	yes	—
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	C₂²⋊D₄₇	1	1	yes	characteristic
293	#106	—	94	2	no	—
294	#106	—	94	2	no	—
295	C₄⋊C₈	—	47	1	no	—
296	C₄⋊C₈	—	47	2	no	—
297	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
298	#102	—	2	2	no	—
299	#102	—	47	1	no	—
300	#102	—	47	1	no	—
301	#102	—	94	2	no	—
302	#102	—	94	2	no	—
303	#102	—	94	2	no	—
304	#102	—	94	2	no	—
305	#102	—	94	2	no	—
306	#102	C₂²⋊D₄₇	1	2	yes	—
307	C₂²⋊C₈	—	2	1	no	—
308	C₂²⋊C₈	—	94	2	no	—
309	C₂²⋊C₈	—	94	1	no	—
310	C₄×C₈	—	47	1	no	—
311	C₄×C₈	—	47	1	no	—
312	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
313	C₂⁴	—	4	2	no	—
314	C₂×Q₈	—	94	2	no	—
315	C₂×D₄	—	2	2	no	—
316	C₂×D₄	—	2	2	no	—
317	C₂×D₄	—	2	2	no	—
318	C₂×D₄	—	4	2	no	—
319	C₂×D₄	—	4	2	no	—
320	C₂×D₄	—	4	4	no	—
321	C₂×D₄	—	4	4	no	—
322	C₂×D₄	—	8	2	no	—
323	C₂×D₄	—	8	2	no	—
324	C₂×D₄	—	47	1	no	—
325	C₂×D₄	—	188	2	no	—
326	C₂×D₄	D₄×D₄₇	1	1	yes	characteristic
327	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
328	C₂²×C₄	—	2	2	no	—
329	C₂²×C₄	—	2	1	no	—
330	C₂²×C₄	—	94	1	no	—
331	SD₁₆	—	376	4	no	—
332	D₈	—	2	2	no	—
333	D₈	—	4	4	no	—
334	D₈	—	4	2	no	—
335	D₈	—	8	1	no	—
336	D₈	—	94	2	no	—
337	D₈	—	376	2	no	—
338	M₁₆	—	376	2	no	—
339	C₂×C₈	—	2	1	no	—
340	C₂×C₈	—	4	2	no	—
341	C₂×C₈	—	47	1	no	—
342	C₂×C₈	—	47	1	no	—
343	C₂×C₈	—	94	1	no	—
344	C₂×C₈	—	94	2	no	—
345	C₂×C₈	—	94	1	no	—
346	C₂×C₈	—	188	2	no	—
347	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
348	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
349	C₄⋊C₄	—	47	1	no	—
350	C₄⋊C₄	—	94	2	no	—
351	C₄⋊C₄	—	94	2	no	—
352	C₄⋊C₄	D₄×D₄₇	1	1	yes	characteristic
353	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
354	C₂²⋊C₄	—	2	1	no	—
355	C₂²⋊C₄	—	2	2	no	—
356	C₂²⋊C₄	—	4	2	no	—
357	C₂²⋊C₄	—	94	1	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	2	no	—
364	C₂³	—	4	2	no	—
365	C₂³	—	8	4	no	—
366	C₂³	—	8	4	no	—
367	C₂³	—	16	2	no	—
368	C₂³	—	94	1	no	—
369	Q₈	—	376	2	no	—
370	D₄	—	2	2	no	—
371	D₄	—	2	1	no	—
372	D₄	—	2	2	no	—
373	D₄	—	4	2	no	—
374	D₄	—	4	2	no	—
375	D₄	—	4	2	no	—
376	D₄	—	4	2	no	—
377	D₄	—	8	2	no	—
378	D₄	—	8	4	no	—
379	D₄	—	8	4	no	—
380	D₄	—	94	1	no	—
381	D₄	—	94	1	no	—
382	D₄	—	752	2	no	—
383	D₄	#13094043	1	2	yes	—
384	C₂×C₄	—	2	2	no	—
385	C₂×C₄	—	2	1	no	—
386	C₂×C₄	—	4	2	no	—
387	C₂×C₄	—	4	1	no	—
388	C₂×C₄	—	4	2	no	—
389	C₂×C₄	—	4	1	no	—
390	C₂×C₄	—	94	1	no	—
391	C₂×C₄	—	188	2	no	—
392	C₂×C₄	—	188	1	no	—
393	C₂×C₄	—	188	1	no	—
394	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
395	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
396	C₂×C₄	#13094069	1	1	yes	characteristic
397	C₈	—	2	1	no	—
398	C₈	—	4	1	no	—
399	C₈	—	94	2	no	—
400	C₈	—	94	1	no	—
401	C₈	—	94	1	no	—
402	C₈	—	188	1	no	—
403	C₈	—	188	2	no	—
404	C₈	#13094050	1	2	yes	—
405	C₂²	—	2	2	no	—
406	C₂²	—	4	1	no	—
407	C₂²	—	4	1	no	—
408	C₂²	—	4	2	no	—
409	C₂²	—	4	2	no	—
410	C₂²	—	4	2	no	—
411	C₂²	—	8	2	no	—
412	C₂²	—	8	2	no	—
413	C₂²	—	8	2	no	—
414	C₂²	—	16	8	no	—
415	C₂²	—	188	1	no	—
416	C₂²	—	188	1	no	—
417	C₂²	—	188	1	no	—
418	C₂²	D₄×C₂²⋊D₄₇	1	1	yes	characteristic
419	C₄	—	2	1	no	—
420	C₄	—	4	1	no	—
421	C₄	—	4	2	no	—
422	C₄	—	376	2	no	—
423	C₄	—	188	1	no	—
424	C₄	C₂×#13094043	1	1	yes	characteristic
425	C₄	C₂×#13094050	1	1	yes	characteristic
426	C₄	#15689924	1	1	yes	characteristic
427	C₄	#15689934	1	1	yes	characteristic
428	C₂	—	4	2	no	—
429	C₂	—	8	2	no	—
430	C₂	—	16	2	no	—
431	C₂	—	376	1	no	—
432	C₂	#20254984	1	1	yes	characteristic
433	C₂	#20255073	1	1	yes	characteristic
434	C₂	#20255185	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. #20255812	C₂	semidirect
2. #20255630	C₂	semidirect
3. #20242977	C₂	semidirect
4. #20242919	C₂	semidirect
5. #20242787	C₂	semidirect
6. #20242740	C₂	semidirect
7. #20242504	C₂	semidirect
8. #20242470	C₂	semidirect
9. #20242273	C₂	semidirect
10. C₈×#10625334	C₂	semidirect
11. D₄×D₈×C₄₇	C₂	semidirect
12. #15689838	C₂²	semidirect
13. #15689528	C₂²	semidirect
14. #15689495	C₂²	semidirect
15. #15689469	C₂²	semidirect
19. #15689413	C₂²	semidirect
22. #15689315	C₂²	semidirect
25. #15689201	C₂²	semidirect
26. C₈×D₁₈₈	C₂²	semidirect
29. #15688876	C₂²	semidirect
30. #15688875	C₂²	semidirect
31. #15688871	C₂²	semidirect
32. #15688867	C₂²	semidirect
34. D₄⋊(C₄₇⋊C₈)	C₂²	semidirect
35. #15688850	C₂²	semidirect
36. C₈×C₄₇⋊C₈	C₂²	semidirect
213. D₄×D₈	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
#20255812	2
#20255630	2
#20242977	2
#20242919	2
#20242787	2
#20242740	2
#20242504	2
#20242470	2
#20242273	2
C₈×#10625334	2
D₄×D₈×C₄₇	2
#19898	47