Subgroups — #26371340

Order 12032.

612 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20253958	C₂	1	1	yes	maximal, characteristic, complemented
2	#20245585	C₂	1	1	yes	maximal, characteristic, complemented
3	#20245568	C₂	1	1	yes	maximal, characteristic, complemented
4	#20245545	C₂	1	2	yes	maximal, complemented
5	#20245443	C₂	1	2	yes	maximal, complemented
6	#20245317	C₂	1	1	yes	maximal, characteristic, complemented
7	#20245300	C₂	1	1	yes	maximal, characteristic
8	#20245262	C₂	1	2	yes	maximal, complemented
9	#20245252	C₂	1	2	yes	maximal, complemented
10	#20245191	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₄×D₈×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
12	#15689657	—	2	1	no	—
13	C₂×#13093968	C₂²	1	2	yes	—
14	C₂×#13093965	C₂²	1	2	yes	—
15	#15689525	C₂²	1	1	yes	characteristic, complemented
16	#15689507	C₂²	1	1	yes	characteristic, complemented
17	#15689478	—	2	1	no	—
18	#15689364	C₂²	1	1	yes	characteristic
19	#15689359	C₂²	1	1	yes	characteristic
20	#15689352	—	2	1	no	—
21	C₄×Dic₁₈₈	C₂²	1	1	yes	characteristic, complemented
22	C₄×#10625325	—	2	1	no	—
23	C₄×D₃₇₆	C₂²	1	1	yes	characteristic, complemented
24	#15688950	C₂²	1	2	yes	complemented
25	#15688948	C₂²	1	2	yes	complemented
26	C₄⋊(C₄₇⋊C₁₆)	C₂²	1	2	yes	complemented
27	#15688926	C₂²	1	2	yes	complemented
28	#15688924	C₂²	1	2	yes	—
29	#15688924	C₂²	1	2	yes	—
30	#15688923	C₂²	1	2	yes	complemented
31	C₂²⋊(C₄₇⋊C₁₆)	C₂²	1	1	yes	characteristic
32	C₂²⋊(C₄₇⋊C₁₆)	C₂²	1	1	yes	characteristic
33	#15688899	C₂²	1	2	yes	complemented
34	C₂²×D₈×C₄₇	C₂²	1	1	yes	characteristic
35	C₂×C₄×D₄×C₄₇	—	2	1	no	—
36	C₄×D₈×C₄₇	—	2	1	no	—
37	C₄×D₈×C₄₇	—	2	1	no	—
38	C₄×D₈×C₄₇	C₂²	1	2	yes	—
39	C₄×D₈×C₄₇	C₂²	1	2	yes	—
40	C₂×#107×C₄₇	C₂²	1	1	yes	characteristic
41	C₂×#102×C₄₇	—	2	1	no	—
42	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
43	C₂×Dic₁₈₈	C₂³	1	1	yes	characteristic
44	C₂×#10625325	—	2	1	no	—
45	C₂×D₃₇₆	C₂³	1	1	yes	characteristic
46	#13094018	—	4	1	no	—
47	#13094016	—	2	1	no	—
48	#13094012	—	2	1	no	—
49	#13094007	—	4	1	no	—
50	#13094003	—	2	1	no	—
51	#13093998	—	2	1	no	—
52	C₄×Dic₉₄	—	2	1	no	—
53	C₄×D₁₈₈	—	2	1	no	—
54	C₄×C₂²⋊D₄₇	—	4	1	no	—
55	#13093981	—	4	1	no	—
56	#13093968	—	2	4	no	—
57	#13093965	—	2	4	no	—
58	C₂×C₄₇⋊C₁₆	C₂³	1	2	yes	—
59	C₂×C₄₇⋊C₁₆	C₂³	1	2	yes	—
60	#13093958	C₂³	1	1	yes	characteristic
61	#13093958	C₂³	1	1	yes	characteristic
62	#13093956	—	2	1	no	—
63	#13093949	—	2	1	no	—
64	#13093949	—	2	1	no	—
65	#13093946	—	2	1	no	—
66	#13093946	—	2	1	no	—
67	C₂²×D₄×C₄₇	—	2	1	no	—
68	C₂³×C₄×C₄₇	—	4	1	no	—
69	C₂×D₈×C₄₇	—	2	4	no	—
70	C₂×D₈×C₄₇	—	2	1	no	—
71	C₂×D₈×C₄₇	C₂³	1	2	yes	—
72	C₂²×C₈×C₄₇	D₄	1	1	yes	characteristic
73	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
74	C₄×D₄×C₄₇	—	2	2	no	—
75	C₄×D₄×C₄₇	—	2	2	no	—
76	C₄×D₄×C₄₇	—	4	1	no	—
77	C₄×D₄×C₄₇	—	4	1	no	—
78	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
79	C₂×C₂²⋊C₄×C₄₇	—	4	1	no	—
80	C₂×C₄²×C₄₇	D₄	1	1	yes	characteristic
81	#107×C₄₇	—	2	1	no	—
82	#107×C₄₇	C₂³	1	2	yes	—
83	#102×C₄₇	—	2	2	no	—
84	#102×C₄₇	—	2	2	no	—
85	C₄×C₈×C₄₇	D₄	1	1	yes	characteristic
86	C₄×C₈×C₄₇	D₄	1	1	yes	characteristic
87	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
88	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
89	C₂⁴×C₄₇	—	4	1	no	—
90	C₂×D₄×C₄₇	—	2	4	no	—
91	C₂×D₄×C₄₇	—	2	2	no	—
92	C₂×D₄×C₄₇	—	4	2	no	—
93	C₂×D₄×C₄₇	—	4	1	no	—
94	C₂²×C₄×C₄₇	—	4	1	no	—
95	C₂²×C₄×C₄₇	—	4	2	no	—
96	C₂²×C₄×C₄₇	—	4	2	no	—
97	C₂²×C₄×C₄₇	—	8	4	no	—
98	C₂²×C₄×C₄₇	D₈	1	1	yes	characteristic
99	C₂²×C₄×C₄₇	D₈	1	1	yes	characteristic
100	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
101	C₂×C₂²⋊D₄₇	—	4	1	no	—
102	C₂×D₁₈₈	—	2	1	no	—
103	C₂×C₄×D₄₇	—	4	1	no	—
104	C₂×Dic₉₄	—	2	1	no	—
105	D₈×C₄₇	—	2	4	no	—
106	D₈×C₄₇	—	2	2	no	—
107	D₈×C₄₇	#41	1	4	yes	—
108	C₂×C₈×C₄₇	—	2	2	no	—
109	C₂×C₈×C₄₇	—	4	1	no	—
110	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
111	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
112	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
113	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
114	C₄⋊C₄×C₄₇	—	2	2	no	—
115	C₄⋊C₄×C₄₇	—	4	1	no	—
116	C₂²⋊C₄×C₄₇	—	4	2	no	—
117	C₂²⋊C₄×C₄₇	—	4	2	no	—
118	C₄²×C₄₇	D₈	1	1	yes	characteristic
119	C₄²×C₄₇	D₈	1	1	yes	characteristic
120	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
121	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
122	C₂²⋊Dic₄₇	—	4	1	no	—
123	(C₂×D₄₇)⋊C₄	—	4	1	no	—
124	(C₂×D₄₇)⋊C₄	—	4	1	no	—
125	(C₂×D₄₇)⋊C₄	—	4	1	no	—
126	(C₂×D₄₇)⋊C₄	—	4	1	no	—
127	C₄⋊Dic₄₇	—	2	1	no	—
128	C₄⋊Dic₄₇	—	2	1	no	—
129	Dic₄₇⋊C₄	—	4	1	no	—
130	Dic₄₇⋊C₄	—	4	1	no	—
131	Dic₄₇⋊C₄	—	4	1	no	—
132	Dic₄₇⋊C₄	—	4	1	no	—
133	C₄×Dic₄₇	—	4	1	no	—
134	Dic₁₈₈	—	2	2	no	—
135	D₃₇₆	—	2	2	no	—
136	#10625325	—	4	2	no	—
137	C₄₇⋊C₁₆	—	2	2	no	—
138	C₄₇⋊C₁₆	—	2	2	no	—
139	C₂³×C₄₇	—	4	4	no	—
140	C₂³×C₄₇	—	4	2	no	—
141	C₂³×C₄₇	—	8	2	no	—
142	C₂³×C₄₇	—	8	2	no	—
143	C₂³×C₄₇	C₂×D₈	1	1	yes	characteristic
144	C₂²×D₄₇	—	4	1	no	—
145	D₄×C₄₇	—	2	4	no	—
146	D₄×C₄₇	—	4	4	no	—
147	D₄×C₄₇	—	4	2	no	—
148	C₂×C₄×C₄₇	—	2	2	no	—
149	C₂×C₄×C₄₇	—	2	1	no	—
150	C₂×C₄×C₄₇	—	2	1	no	—
151	C₂×C₄×C₄₇	—	4	1	no	—
152	C₂×C₄×C₄₇	—	4	2	no	—
153	C₂×C₄×C₄₇	—	8	4	no	—
154	C₂×C₄×C₄₇	—	8	4	no	—
155	C₂×C₄×C₄₇	—	8	2	no	—
156	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
157	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
158	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
159	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
160	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
161	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
162	C₂²⋊D₄₇	—	8	2	no	—
163	C₂×Dic₄₇	—	4	1	no	—
164	C₂×Dic₄₇	—	4	1	no	—
165	C₂×Dic₄₇	—	4	1	no	—
166	D₁₈₈	—	4	1	no	—
167	D₁₈₈	—	4	1	no	—
168	C₄×D₄₇	—	8	2	no	—
169	Dic₉₄	—	4	1	no	—
170	Dic₉₄	—	4	1	no	—
171	C₈×C₄₇	—	2	1	no	—
172	C₈×C₄₇	—	2	1	no	—
173	C₈×C₄₇	—	2	1	no	—
174	C₈×C₄₇	C₂×#41	1	2	yes	—
175	#33674	—	47	1	no	maximal, Sylow
176	C₂²×C₄₇	—	2	1	no	—
177	C₂²×C₄₇	—	2	1	no	—
178	C₂²×C₄₇	—	4	4	no	—
179	C₂²×C₄₇	—	8	8	no	—
180	C₂²×C₄₇	—	8	2	no	—
181	C₂²×C₄₇	—	8	2	no	—
182	C₂²×C₄₇	#509	1	2	yes	—
183	C₂²×C₄₇	C₂²×D₈	1	1	yes	characteristic
184	C₂×D₄₇	—	8	1	no	—
185	C₂×D₄₇	—	8	1	no	—
186	C₂×D₄₇	—	8	1	no	—
187	C₄×C₄₇	—	2	1	no	—
188	C₄×C₄₇	—	2	1	no	—
189	C₄×C₄₇	—	2	1	no	—
190	C₄×C₄₇	—	2	1	no	—
191	C₄×C₄₇	—	2	1	no	—
192	C₄×C₄₇	—	8	2	no	—
193	C₄×C₄₇	#525	1	1	yes	characteristic
194	C₄×C₄₇	#575	1	1	yes	characteristic
195	Dic₄₇	—	8	1	no	—
196	Dic₄₇	—	8	1	no	—
197	Dic₄₇	—	8	1	no	—
198	#3168	—	47	1	no	—
199	C₂×C₄×D₈	D₄₇	1	1	yes	characteristic, complemented
200	#2235	—	47	1	no	—
201	#2232	—	47	1	no	—
202	#2228	—	47	2	no	—
203	#2210	—	47	2	no	—
204	#2187	—	47	1	no	—
205	#2184	—	47	1	no	—
206	#2177	—	47	2	no	—
207	#2175	—	47	2	no	—
208	#2163	—	47	1	no	—
209	C₂×C₄₇	—	2	2	no	—
210	C₂×C₄₇	—	8	4	no	—
211	C₂×C₄₇	#3100	1	1	yes	characteristic
212	C₂×C₄₇	C₂×#509	1	1	yes	characteristic
213	C₂×C₄₇	#3414	1	1	yes	characteristic
214	D₄₇	—	16	1	no	—
215	C₂²×D₈	C₂×D₄₇	1	1	yes	characteristic
216	#529	—	94	1	no	—
217	C₂×C₄×D₄	—	2	1	no	—
218	C₂×SD₃₂	—	47	2	no	—
219	C₂×D₁₆	—	47	2	no	—
220	#499	—	47	1	no	—
221	#495	—	47	1	no	—
222	#488	—	94	1	no	—
223	#467	—	47	1	no	—
224	#466	—	47	1	no	—
225	#465	—	94	1	no	—
226	C₄×Q₁₆	—	47	1	no	—
227	C₄×SD₁₆	—	94	1	no	—
228	C₄×D₈	—	2	1	no	—
229	C₄×D₈	—	2	1	no	—
230	C₄×D₈	—	47	1	no	—
231	C₄×D₈	C₂×D₄₇	1	2	yes	—
232	C₄×D₈	C₂×D₄₇	1	2	yes	—
233	C₂×#107	C₂×D₄₇	1	1	yes	characteristic
234	C₂×#102	—	2	1	no	—
235	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
236	#367	—	47	2	no	—
237	#366	—	47	2	no	—
238	C₄⋊C₁₆	—	47	2	no	—
239	#358	—	47	2	no	—
240	#357	—	47	2	no	—
241	#357	—	47	2	no	—
242	#357	—	47	2	no	—
243	C₂²⋊C₁₆	—	47	1	no	—
244	C₂²⋊C₁₆	—	47	1	no	—
245	#346	—	47	2	no	—
246	C₄₇	#33674	1	1	yes	characteristic, complemented, Sylow
247	C₂²×D₄	—	2	1	no	—
248	C₂³×C₄	—	4	1	no	—
249	C₂×Q₁₆	—	47	1	no	—
250	C₂×SD₁₆	—	94	1	no	—
251	C₂×D₈	—	2	4	no	—
252	C₂×D₈	—	2	1	no	—
253	C₂×D₈	—	47	1	no	—
254	C₂×D₈	C₂²×D₄₇	1	2	yes	—
255	C₂²×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
256	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
257	#126	—	188	1	no	—
258	#125	—	94	1	no	—
259	#124	—	94	1	no	—
260	#123	—	188	1	no	—
261	C₂²⋊Q₈	—	94	1	no	—
262	#121	—	94	1	no	—
263	C₄×Q₈	—	94	1	no	—
264	C₄×D₄	—	2	2	no	—
265	C₄×D₄	—	2	2	no	—
266	C₄×D₄	—	4	1	no	—
267	C₄×D₄	—	4	1	no	—
268	C₄×D₄	—	94	1	no	—
269	C₄×D₄	—	188	1	no	—
270	#117	—	188	1	no	—
271	C₂×C₄⋊C₄	—	2	1	no	—
272	C₂×C₂²⋊C₄	—	4	1	no	—
273	C₂×C₄²	C₂²⋊D₄₇	1	1	yes	characteristic
274	SD₃₂	—	94	4	no	—
275	D₁₆	—	94	4	no	—
276	C₂×C₁₆	—	47	2	no	—
277	C₂×C₁₆	—	47	2	no	—
278	#107	—	2	1	no	—
279	#107	—	47	1	no	—
280	#107	—	47	1	no	—
281	#107	C₂²×D₄₇	1	2	yes	—
282	#106	—	94	1	no	—
283	#103	—	94	1	no	—
284	#103	—	94	1	no	—
285	#102	—	2	2	no	—
286	#102	—	2	2	no	—
287	#102	—	94	1	no	—
288	#102	—	94	1	no	—
289	C₄×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
290	C₄×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
291	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
292	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
293	C₂⁴	—	4	1	no	—
294	C₂×Q₈	—	94	1	no	—
295	C₂×D₄	—	2	4	no	—
296	C₂×D₄	—	2	2	no	—
297	C₂×D₄	—	4	2	no	—
298	C₂×D₄	—	4	1	no	—
299	C₂×D₄	—	94	1	no	—
300	C₂×D₄	—	188	1	no	—
301	C₂²×C₄	—	4	1	no	—
302	C₂²×C₄	—	4	2	no	—
303	C₂²×C₄	—	4	2	no	—
304	C₂²×C₄	—	8	4	no	—
305	C₂²×C₄	—	188	1	no	—
306	C₂²×C₄	#10625334	1	1	yes	characteristic
307	C₂²×C₄	#10625334	1	1	yes	characteristic
308	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
309	Q₁₆	—	94	2	no	—
310	SD₁₆	—	188	2	no	—
311	D₈	—	2	4	no	—
312	D₈	—	2	2	no	—
313	D₈	—	94	2	no	—
314	D₈	#10625350	1	4	yes	—
315	C₂×C₈	—	2	2	no	—
316	C₂×C₈	—	4	1	no	—
317	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
318	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
319	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
320	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
321	C₄⋊C₄	—	2	2	no	—
322	C₄⋊C₄	—	4	1	no	—
323	C₄⋊C₄	—	94	1	no	—
324	C₄⋊C₄	—	94	1	no	—
325	C₄⋊C₄	—	188	1	no	—
326	C₄⋊C₄	—	188	1	no	—
327	C₄⋊C₄	—	188	1	no	—
328	C₄⋊C₄	—	188	1	no	—
329	C₂²⋊C₄	—	4	2	no	—
330	C₂²⋊C₄	—	4	2	no	—
331	C₂²⋊C₄	—	188	1	no	—
332	C₂²⋊C₄	—	188	1	no	—
333	C₂²⋊C₄	—	188	1	no	—
334	C₂²⋊C₄	—	188	1	no	—
335	C₂²⋊C₄	—	188	1	no	—
336	C₄²	—	188	1	no	—
337	C₄²	#10625334	1	1	yes	characteristic
338	C₄²	#10625334	1	1	yes	characteristic
339	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
340	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
341	C₁₆	—	94	2	no	—
342	C₁₆	—	94	2	no	—
343	C₂³	—	4	4	no	—
344	C₂³	—	4	2	no	—
345	C₂³	—	8	2	no	—
346	C₂³	—	8	2	no	—
347	C₂³	—	188	1	no	—
348	C₂³	C₂×#10625334	1	1	yes	characteristic
349	Q₈	—	188	1	no	—
350	Q₈	—	188	1	no	—
351	D₄	—	2	4	no	—
352	D₄	—	4	4	no	—
353	D₄	—	4	2	no	—
354	D₄	—	376	2	no	—
355	D₄	—	188	1	no	—
356	D₄	—	188	1	no	—
357	C₂×C₄	—	2	2	no	—
358	C₂×C₄	—	2	1	no	—
359	C₂×C₄	—	2	1	no	—
360	C₂×C₄	—	4	1	no	—
361	C₂×C₄	—	4	2	no	—
362	C₂×C₄	—	8	4	no	—
363	C₂×C₄	—	8	4	no	—
364	C₂×C₄	—	8	2	no	—
365	C₂×C₄	—	376	2	no	—
366	C₂×C₄	—	188	1	no	—
367	C₂×C₄	—	188	1	no	—
368	C₂×C₄	—	188	1	no	—
369	C₂×C₄	C₂×#10625334	1	1	yes	characteristic
370	C₂×C₄	C₂×#10625334	1	1	yes	characteristic
371	C₂×C₄	C₂×#10625334	1	1	yes	characteristic
372	C₂×C₄	C₂×#10625334	1	1	yes	characteristic
373	C₂×C₄	C₂×#10625334	1	1	yes	characteristic
374	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
375	C₈	—	2	1	no	—
376	C₈	—	2	1	no	—
377	C₈	—	2	1	no	—
378	C₈	C₂×#10625350	1	2	yes	—
379	C₂²	—	2	1	no	—
380	C₂²	—	2	1	no	—
381	C₂²	—	4	4	no	—
382	C₂²	—	8	8	no	—
383	C₂²	—	8	2	no	—
384	C₂²	—	8	2	no	—
385	C₂²	—	376	1	no	—
386	C₂²	—	376	1	no	—
387	C₂²	—	376	1	no	—
388	C₂²	#15689559	1	2	yes	—
389	C₂²	C₂²×#10625334	1	1	yes	characteristic
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	2	1	no	—
393	C₄	—	2	1	no	—
394	C₄	—	2	1	no	—
395	C₄	—	8	2	no	—
396	C₄	—	376	1	no	—
397	C₄	—	376	1	no	—
398	C₄	—	376	1	no	—
399	C₄	#15689634	1	1	yes	characteristic
400	C₄	#15689921	1	1	yes	characteristic
401	C₂	—	2	2	no	—
402	C₂	—	8	4	no	—
403	C₂	—	752	1	no	—
404	C₂	#20253388	1	1	yes	characteristic
405	C₂	C₂×#15689559	1	1	yes	characteristic
406	C₂	#20256522	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×#10625334
commutator, cosocle	C₂×C₈×C₄₇	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₇
Fitting	C₂×C₄×D₈×C₄₇	C₂
socle	C₂²×C₄₇	C₂²×D₈
prime radical	#20245300	C₂
hypercenter	C₂×C₄×D₈	D₄₇
hypocenter	C₄₇	#33674
LCS	G ▷ C₂×C₈×C₄₇ ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×C₄×C₈ ◁ C₂×C₄×D₈

Complements

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

N	H ≅ G/N	type
1. #20253958	C₂	semidirect
2. #20245585	C₂	semidirect
3. #20245568	C₂	semidirect
4. #20245545	C₂	semidirect
5. #20245443	C₂	semidirect
6. #20245317	C₂	semidirect
8. #20245262	C₂	semidirect
9. #20245252	C₂	semidirect
10. #20245191	C₂	semidirect
11. C₂×C₄×D₈×C₄₇	C₂	semidirect
15. #15689525	C₂²	semidirect
16. #15689507	C₂²	semidirect
21. C₄×Dic₁₈₈	C₂²	semidirect
23. C₄×D₃₇₆	C₂²	semidirect
24. #15688950	C₂²	semidirect
25. #15688948	C₂²	semidirect
26. C₄⋊(C₄₇⋊C₁₆)	C₂²	semidirect
27. #15688926	C₂²	semidirect
30. #15688923	C₂²	semidirect
33. #15688899	C₂²	semidirect
199. C₂×C₄×D₈	D₄₇	semidirect
246. C₄₇	#33674	semidirect

Maximal subgroups

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

subgroup	index
#20253958	2
#20245585	2
#20245568	2
#20245545	2
#20245443	2
#20245317	2
#20245300	2
#20245262	2
#20245252	2
#20245191	2
C₂×C₄×D₈×C₄₇	2
#33674	47