Subgroups — #26370714

Order 12032.

710 conjugacy classes of subgroups.

The subgroup lattice has 422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689553	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×C₄₇⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	#20252969	C₂	1	1	yes	maximal, characteristic, complemented
4	#20245486	C₂	1	2	yes	maximal, complemented
5	#20245482	C₂	1	2	yes	maximal, complemented
6	#20245477	C₂	1	2	yes	maximal, complemented
7	#20245472	C₂	1	2	yes	maximal, complemented
8	#20245170	C₂	1	1	yes	maximal, characteristic, complemented
9	#20245095	C₂	1	1	yes	maximal, characteristic, complemented
10	#20245093	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#3050	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13094046	C₂²	1	1	yes	characteristic
13	#15689634	—	2	1	no	—
14	#15689553	—	2	4	no	—
15	C₂×#13093970	C₂²	1	1	yes	characteristic, complemented
16	C₂×#13093968	C₂²	1	1	yes	characteristic, complemented
17	C₂×#13093967	C₂²	1	1	yes	characteristic, complemented
18	C₂×#13093965	C₂²	1	1	yes	characteristic, complemented
19	C₂²×C₄₇⋊C₁₆	—	2	4	no	—
20	C₂²×C₄₇⋊C₁₆	C₂²	1	1	yes	characteristic
21	C₂²×C₄₇⋊C₁₆	C₂²	1	2	yes	—
22	C₂²×C₄₇⋊C₁₆	C₂²	1	2	yes	—
23	C₂²×C₄₇⋊C₁₆	C₂²	1	1	yes	characteristic
24	#15689364	C₂²	1	2	yes	—
25	#15689359	C₂²	1	2	yes	—
26	#15689352	—	2	2	no	—
27	#15689161	C₂²	1	1	yes	characteristic
28	#15689120	—	2	1	no	—
29	#15688950	C₂²	1	2	yes	complemented
30	#15688948	C₂²	1	2	yes	complemented
31	#15688927	C₂²	1	2	yes	complemented
32	#15688926	C₂²	1	2	yes	complemented
33	#15688924	C₂²	1	2	yes	complemented
34	#15688923	C₂²	1	2	yes	complemented
35	C₂×#135×C₄₇	C₂²	1	1	yes	characteristic
36	C₂³×C₈×C₄₇	C₂²	1	1	yes	characteristic
37	C₄₇×#525	—	2	1	no	—
38	C₄₇×#467	C₂²	1	2	yes	—
39	C₄₇×#466	C₂²	1	2	yes	—
40	C₄₇×#465	—	2	2	no	—
41	C₄₇×#427	C₂²	1	1	yes	characteristic
42	C₄₇×#416	—	2	1	no	—
43	C₂×#10625350	—	2	1	no	—
44	#13094046	—	2	2	no	—
45	#13094046	—	2	2	no	—
46	C₂×Dic₁₈₈	C₂³	1	1	yes	characteristic
47	C₂×#10625325	—	2	1	no	—
48	C₂×D₃₇₆	C₂³	1	1	yes	characteristic
49	#13094007	—	4	1	no	—
50	#13094003	—	2	2	no	—
51	#13093998	—	2	2	no	—
52	#13093993	—	4	1	no	—
53	C₄×C₂²⋊D₄₇	—	4	2	no	—
54	#13093983	—	2	1	no	—
55	#13093970	—	2	2	no	—
56	#13093968	—	2	2	no	—
57	#13093967	—	2	2	no	—
58	#13093965	—	2	2	no	—
59	C₂×C₄₇⋊C₁₆	—	2	2	no	—
60	C₂×C₄₇⋊C₁₆	—	2	4	no	—
61	C₂×C₄₇⋊C₁₆	—	2	4	no	—
62	C₂×C₄₇⋊C₁₆	D₄	1	4	yes	complemented
63	C₂×C₄₇⋊C₁₆	C₂³	1	2	yes	—
64	C₂×C₄₇⋊C₁₆	C₂³	1	1	yes	characteristic
65	C₂×C₄₇⋊C₁₆	C₂³	1	1	yes	characteristic
66	#13093958	C₂³	1	2	yes	—
67	#13093956	—	2	1	no	—
68	#13093949	—	2	2	no	—
69	#13093946	—	2	2	no	—
70	C₂×#41×C₄₇	—	2	1	no	—
71	C₂³×C₄×C₄₇	D₄	1	1	yes	characteristic
72	#135×C₄₇	—	2	2	no	—
73	#135×C₄₇	—	2	2	no	—
74	C₂×Q₁₆×C₄₇	C₂³	1	1	yes	characteristic
75	C₂×SD₁₆×C₄₇	—	2	1	no	—
76	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
77	C₂²×C₈×C₄₇	—	2	2	no	—
78	C₂²×C₈×C₄₇	—	2	2	no	—
79	C₂²×C₈×C₄₇	D₄	1	2	yes	—
80	C₂²×C₈×C₄₇	D₄	1	1	yes	characteristic
81	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
82	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
83	#123×C₄₇	—	4	1	no	—
84	C₂²⋊Q₈×C₄₇	—	2	2	no	—
85	#121×C₄₇	—	2	2	no	—
86	#120×C₄₇	—	4	1	no	—
87	C₄×D₄×C₄₇	—	4	2	no	—
88	#117×C₄₇	—	2	1	no	—
89	#107×C₄₇	C₂³	1	2	yes	—
90	#106×C₄₇	—	2	1	no	—
91	#103×C₄₇	—	2	2	no	—
92	#102×C₄₇	—	2	2	no	—
93	C₂⁴×C₄₇	D₈	1	1	yes	characteristic
94	#41×C₄₇	—	4	2	no	—
95	#41×C₄₇	—	4	2	no	—
96	C₂×Q₈×C₄₇	—	2	1	no	—
97	C₂×D₄×C₄₇	—	2	1	no	—
98	C₂×D₄×C₄₇	—	4	2	no	—
99	C₂×D₄×C₄₇	—	4	1	no	—
100	C₂²×C₄×C₄₇	—	2	2	no	—
101	C₂²×C₄×C₄₇	—	2	2	no	—
102	C₂²×C₄×C₄₇	—	4	1	no	—
103	C₂²×C₄×C₄₇	D₈	1	2	yes	—
104	C₂²×C₄×C₄₇	D₈	1	1	yes	characteristic
105	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
106	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
107	C₂×C₂²⋊D₄₇	—	4	2	no	—
108	C₂×C₂²⋊D₄₇	—	4	1	no	—
109	#10625350	—	4	2	no	—
110	#10625350	—	4	2	no	—
111	C₂×D₁₈₈	—	2	1	no	—
112	C₂×C₄×D₄₇	—	4	1	no	—
113	C₂×Dic₉₄	—	2	1	no	—
114	Q₁₆×C₄₇	—	2	1	no	—
115	Q₁₆×C₄₇	—	2	1	no	—
116	SD₁₆×C₄₇	—	4	2	no	—
117	D₈×C₄₇	—	2	1	no	—
118	D₈×C₄₇	—	2	1	no	—
119	C₂×C₈×C₄₇	—	2	2	no	—
120	C₂×C₈×C₄₇	—	2	4	no	—
121	C₂×C₈×C₄₇	—	2	2	no	—
122	C₂×C₈×C₄₇	—	2	2	no	—
123	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
124	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
125	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
126	C₂×C₈×C₄₇	#41	1	2	yes	—
127	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
128	C₄⋊C₄×C₄₇	—	2	2	no	—
129	C₄⋊C₄×C₄₇	—	4	2	no	—
130	C₂²⋊C₄×C₄₇	—	4	1	no	—
131	C₂²⋊C₄×C₄₇	—	4	2	no	—
132	C₂²⋊C₄×C₄₇	—	4	2	no	—
133	C₄²×C₄₇	—	4	1	no	—
134	C₂²⋊Dic₄₇	—	4	1	no	—
135	C₂²⋊Dic₄₇	—	4	2	no	—
136	(C₂×D₄₇)⋊C₄	—	4	2	no	—
137	C₄⋊Dic₄₇	—	2	2	no	—
138	Dic₄₇⋊C₄	—	4	2	no	—
139	C₄×Dic₄₇	—	4	1	no	—
140	Dic₁₈₈	—	2	1	no	—
141	Dic₁₈₈	—	2	1	no	—
142	D₃₇₆	—	2	1	no	—
143	D₃₇₆	—	2	1	no	—
144	#10625325	—	4	2	no	—
145	C₄₇⋊C₁₆	—	2	2	no	—
146	C₄₇⋊C₁₆	C₂×D₄	1	2	yes	—
147	C₄₇⋊C₁₆	C₂×D₄	1	2	yes	—
148	C₂³×C₄₇	—	2	2	no	—
149	C₂³×C₄₇	—	2	4	no	—
150	C₂³×C₄₇	—	4	1	no	—
151	C₂³×C₄₇	C₂×D₈	1	1	yes	characteristic
152	C₂³×C₄₇	C₂×D₈	1	2	yes	—
153	C₂²×D₄₇	—	4	1	no	—
154	Q₈×C₄₇	—	4	1	no	—
155	Q₈×C₄₇	—	4	1	no	—
156	D₄×C₄₇	—	4	1	no	—
157	D₄×C₄₇	—	4	1	no	—
158	D₄×C₄₇	—	8	2	no	—
159	D₄×C₄₇	—	8	4	no	—
160	C₂×C₄×C₄₇	—	2	2	no	—
161	C₂×C₄×C₄₇	—	2	2	no	—
162	C₂×C₄×C₄₇	—	2	2	no	—
163	C₂×C₄×C₄₇	—	2	4	no	—
164	C₂×C₄×C₄₇	—	4	2	no	—
165	C₂×C₄×C₄₇	—	4	1	no	—
166	C₂×C₄×C₄₇	—	8	2	no	—
167	C₂×C₄×C₄₇	#121	1	2	yes	—
168	C₂×C₄×C₄₇	C₂×D₈	1	2	yes	—
169	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
170	C₂×C₄×C₄₇	#135	1	2	yes	—
171	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
172	C₂²⋊D₄₇	—	8	2	no	—
173	C₂²⋊D₄₇	—	8	4	no	—
174	C₂×Dic₄₇	—	4	2	no	—
175	C₂×Dic₄₇	—	4	1	no	—
176	D₁₈₈	—	4	1	no	—
177	D₁₈₈	—	4	1	no	—
178	C₄×D₄₇	—	8	2	no	—
179	Dic₉₄	—	4	1	no	—
180	Dic₉₄	—	4	1	no	—
181	C₈×C₄₇	—	2	2	no	—
182	C₈×C₄₇	#121	1	2	yes	—
183	C₈×C₄₇	C₂²×D₄	1	1	yes	characteristic
184	C₈×C₄₇	C₂×#41	1	1	yes	characteristic
185	#33600	—	47	1	no	maximal, Sylow
186	C₂²×C₄₇	—	2	8	no	—
187	C₂²×C₄₇	—	2	2	no	—
188	C₂²×C₄₇	—	2	2	no	—
189	C₂²×C₄₇	—	2	2	no	—
190	C₂²×C₄₇	—	8	2	no	—
191	C₂²×C₄₇	—	8	1	no	—
192	C₂²×C₄₇	#466	1	2	yes	—
193	C₂²×C₄₇	#508	1	4	yes	complemented
194	C₂²×C₄₇	C₂²×D₈	1	1	yes	characteristic
195	C₂×D₄₇	—	8	2	no	—
196	C₂×D₄₇	—	8	1	no	—
197	C₄×C₄₇	—	2	2	no	—
198	C₄×C₄₇	—	8	2	no	—
199	C₄×C₄₇	—	8	1	no	—
200	C₄×C₄₇	#466	1	2	yes	—
201	C₄×C₄₇	C₂×#121	1	1	yes	characteristic
202	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
203	Dic₄₇	—	8	2	no	—
204	Dic₄₇	—	8	1	no	—
205	C₂×#508	—	47	1	no	—
206	C₂³×C₁₆	—	47	1	no	—
207	#3050	—	47	1	no	—
208	#3050	D₄₇	1	1	yes	characteristic, complemented
209	#2217	—	47	2	no	—
210	#2217	—	47	2	no	—
211	#2216	—	47	2	no	—
212	#2215	—	47	2	no	—
213	#2158	—	47	1	no	—
214	#2138	—	47	1	no	—
215	#2138	—	47	1	no	—
216	C₂×C₄₇	—	2	2	no	—
217	C₂×C₄₇	—	2	4	no	—
218	C₂×C₄₇	—	16	1	no	—
219	C₂×C₄₇	C₂×#466	1	1	yes	characteristic
220	C₂×C₄₇	C₂×#508	1	2	yes	—
221	D₄₇	—	16	1	no	—
222	C₂×#135	—	47	1	no	—
223	C₂×#135	C₂×D₄₇	1	1	yes	characteristic
224	C₂³×C₈	C₂×D₄₇	1	1	yes	characteristic
225	#525	—	2	1	no	—
226	#525	—	94	1	no	—
227	#508	—	94	4	no	—
228	C₂×Q₃₂	—	47	1	no	—
229	C₂×SD₃₂	—	47	1	no	—
230	C₂×SD₃₂	—	47	1	no	—
231	C₂×D₁₆	—	47	1	no	—
232	C₂²×C₁₆	—	47	1	no	—
233	C₂²×C₁₆	—	47	1	no	—
234	C₂²×C₁₆	—	47	2	no	—
235	C₂²×C₁₆	—	47	2	no	—
236	C₂²×C₁₆	—	94	4	no	—
237	#467	—	47	2	no	—
238	#467	C₂×D₄₇	1	2	yes	—
239	#466	—	47	2	no	—
240	#466	C₂×D₄₇	1	2	yes	—
241	#465	—	2	2	no	—
242	#465	—	94	2	no	—
243	#427	—	47	1	no	—
244	#427	C₂×D₄₇	1	1	yes	characteristic
245	#416	—	2	1	no	—
246	#416	—	94	1	no	—
247	#367	—	47	2	no	—
248	#366	—	47	2	no	—
249	#358	—	47	2	no	—
250	#358	—	47	2	no	—
251	#357	—	47	2	no	—
252	#357	—	47	2	no	—
253	C₄₇	#33600	1	1	yes	characteristic, complemented, Sylow
254	C₂×#41	—	2	1	no	—
255	C₂×#41	—	94	1	no	—
256	C₂³×C₄	C₂²⋊D₄₇	1	1	yes	characteristic
257	#135	—	2	2	no	—
258	#135	—	2	2	no	—
259	#135	—	94	2	no	—
260	#135	—	94	2	no	—
261	C₂×Q₁₆	—	47	1	no	—
262	C₂×Q₁₆	C₂²×D₄₇	1	1	yes	characteristic
263	C₂×SD₁₆	—	2	1	no	—
264	C₂×SD₁₆	—	94	1	no	—
265	C₂×D₈	—	47	1	no	—
266	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
267	C₂²×C₈	—	2	2	no	—
268	C₂²×C₈	—	2	2	no	—
269	C₂²×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
270	C₂²×C₈	C₂²⋊D₄₇	1	2	yes	—
271	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
272	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
273	#123	—	4	1	no	—
274	#123	—	188	1	no	—
275	C₂²⋊Q₈	—	2	2	no	—
276	C₂²⋊Q₈	—	94	2	no	—
277	#121	—	2	2	no	—
278	#121	—	94	2	no	—
279	#120	—	4	1	no	—
280	#120	—	188	1	no	—
281	C₄×D₄	—	4	2	no	—
282	C₄×D₄	—	188	2	no	—
283	#117	—	2	1	no	—
284	#117	—	94	1	no	—
285	Q₃₂	—	94	2	no	—
286	SD₃₂	—	94	2	no	—
287	SD₃₂	—	94	2	no	—
288	D₁₆	—	94	2	no	—
289	C₂×C₁₆	—	47	4	no	—
290	C₂×C₁₆	—	47	1	no	—
291	C₂×C₁₆	—	47	1	no	—
292	C₂×C₁₆	—	47	2	no	—
293	C₂×C₁₆	—	94	4	no	—
294	C₂×C₁₆	—	94	4	no	—
295	C₂×C₁₆	—	94	2	no	—
296	#107	—	47	2	no	—
297	#107	C₂²×D₄₇	1	2	yes	—
298	#106	—	2	1	no	—
299	#106	—	94	1	no	—
300	#103	—	2	2	no	—
301	#103	—	94	2	no	—
302	#102	—	2	2	no	—
303	#102	—	94	2	no	—
304	C₂⁴	#10625334	1	1	yes	characteristic
305	#41	—	4	2	no	—
306	#41	—	4	2	no	—
307	#41	—	188	2	no	—
308	#41	—	188	2	no	—
309	C₂×Q₈	—	2	1	no	—
310	C₂×Q₈	—	94	1	no	—
311	C₂×D₄	—	2	1	no	—
312	C₂×D₄	—	4	2	no	—
313	C₂×D₄	—	4	1	no	—
314	C₂×D₄	—	94	1	no	—
315	C₂×D₄	—	188	2	no	—
316	C₂×D₄	—	188	1	no	—
317	C₂²×C₄	—	2	2	no	—
318	C₂²×C₄	—	2	2	no	—
319	C₂²×C₄	—	4	1	no	—
320	C₂²×C₄	—	188	1	no	—
321	C₂²×C₄	#10625334	1	1	yes	characteristic
322	C₂²×C₄	#10625334	1	2	yes	—
323	C₂²×C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
324	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
325	Q₁₆	—	2	1	no	—
326	Q₁₆	—	2	1	no	—
327	Q₁₆	—	94	1	no	—
328	Q₁₆	—	94	1	no	—
329	SD₁₆	—	4	2	no	—
330	SD₁₆	—	188	2	no	—
331	D₈	—	2	1	no	—
332	D₈	—	2	1	no	—
333	D₈	—	94	1	no	—
334	D₈	—	94	1	no	—
335	C₂×C₈	—	2	2	no	—
336	C₂×C₈	—	2	4	no	—
337	C₂×C₈	—	2	2	no	—
338	C₂×C₈	—	2	2	no	—
339	C₂×C₈	D₄×D₄₇	1	2	yes	—
340	C₂×C₈	#10625352	1	2	yes	—
341	C₂×C₈	C₂×C₂²⋊D₄₇	1	2	yes	—
342	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
343	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
344	C₄⋊C₄	—	2	2	no	—
345	C₄⋊C₄	—	4	2	no	—
346	C₄⋊C₄	—	94	2	no	—
347	C₄⋊C₄	—	188	2	no	—
348	C₂²⋊C₄	—	4	1	no	—
349	C₂²⋊C₄	—	4	2	no	—
350	C₂²⋊C₄	—	4	2	no	—
351	C₂²⋊C₄	—	188	1	no	—
352	C₂²⋊C₄	—	188	2	no	—
353	C₂²⋊C₄	—	188	2	no	—
354	C₄²	—	4	1	no	—
355	C₄²	—	188	1	no	—
356	C₁₆	—	47	2	no	—
357	C₁₆	—	47	2	no	—
358	C₁₆	—	94	2	no	—
359	C₂³	—	2	4	no	—
360	C₂³	—	2	2	no	—
361	C₂³	—	4	1	no	—
362	C₂³	—	188	1	no	—
363	C₂³	C₂×#10625334	1	2	yes	—
364	C₂³	C₂×#10625334	1	1	yes	characteristic
365	Q₈	—	4	1	no	—
366	Q₈	—	4	1	no	—
367	Q₈	—	188	1	no	—
368	Q₈	—	188	1	no	—
369	D₄	—	4	1	no	—
370	D₄	—	4	1	no	—
371	D₄	—	8	4	no	—
372	D₄	—	8	2	no	—
373	D₄	—	376	4	no	—
374	D₄	—	376	2	no	—
375	D₄	—	188	1	no	—
376	D₄	—	188	1	no	—
377	C₂×C₄	—	2	2	no	—
378	C₂×C₄	—	2	4	no	—
379	C₂×C₄	—	2	2	no	—
380	C₂×C₄	—	2	2	no	—
381	C₂×C₄	—	4	2	no	—
382	C₂×C₄	—	4	1	no	—
383	C₂×C₄	—	8	2	no	—
384	C₂×C₄	—	376	2	no	—
385	C₂×C₄	—	188	2	no	—
386	C₂×C₄	—	188	1	no	—
387	C₂×C₄	#13093996	1	2	yes	—
388	C₂×C₄	C₂×#10625334	1	2	yes	—
389	C₂×C₄	C₂×#10625334	1	1	yes	characteristic
390	C₂×C₄	#13094044	1	2	yes	—
391	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
392	C₈	—	2	2	no	—
393	C₈	#13093996	1	2	yes	—
394	C₈	C₂×D₄×D₄₇	1	1	yes	characteristic
395	C₈	C₂×#10625352	1	1	yes	characteristic
396	C₂²	—	2	8	no	—
397	C₂²	—	2	2	no	—
398	C₂²	—	2	2	no	—
399	C₂²	—	2	2	no	—
400	C₂²	—	8	1	no	—
401	C₂²	—	8	2	no	—
402	C₂²	—	376	1	no	—
403	C₂²	—	376	2	no	—
404	C₂²	#15689357	1	2	yes	—
405	C₂²	#15689553	1	4	yes	complemented
406	C₂²	C₂²×#10625334	1	1	yes	characteristic
407	C₄	—	2	2	no	—
408	C₄	—	8	1	no	—
409	C₄	—	8	2	no	—
410	C₄	—	376	1	no	—
411	C₄	—	376	2	no	—
412	C₄	#15689357	1	2	yes	—
413	C₄	C₂×#13093996	1	1	yes	characteristic
414	C₄	C₂×#13094044	1	1	yes	characteristic
415	C₂	—	2	4	no	—
416	C₂	—	2	2	no	—
417	C₂	—	16	1	no	—
418	C₂	—	752	1	no	—
419	C₂	C₂×#15689357	1	1	yes	characteristic
420	C₂	C₂×#15689553	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂×#10625334
commutator, cosocle	C₂×C₈×C₄₇	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₇
Fitting	C₄₇×#3050	C₂
socle	C₂²×C₄₇	C₂²×D₈
hypercenter	#3050	D₄₇
hypocenter	C₄₇	#33600
LCS	G ▷ C₂×C₈×C₄₇ ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂³×C₄ ◁ C₂³×C₈ ◁ #3050

Complements

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

N	H ≅ G/N	type
1. C₂×#15689553	C₂	semidirect
2. C₂³×C₄₇⋊C₁₆	C₂	semidirect
3. #20252969	C₂	semidirect
4. #20245486	C₂	semidirect
5. #20245482	C₂	semidirect
6. #20245477	C₂	semidirect
7. #20245472	C₂	semidirect
8. #20245170	C₂	semidirect
9. #20245095	C₂	semidirect
10. #20245093	C₂	semidirect
11. C₄₇×#3050	C₂	semidirect
15. C₂×#13093970	C₂²	semidirect
16. C₂×#13093968	C₂²	semidirect
17. C₂×#13093967	C₂²	semidirect
18. C₂×#13093965	C₂²	semidirect
29. #15688950	C₂²	semidirect
30. #15688948	C₂²	semidirect
31. #15688927	C₂²	semidirect
32. #15688926	C₂²	semidirect
33. #15688924	C₂²	semidirect
34. #15688923	C₂²	semidirect
62. C₂×C₄₇⋊C₁₆	D₄	semidirect
193. C₂²×C₄₇	#508	semidirect
208. #3050	D₄₇	semidirect
253. C₄₇	#33600	semidirect
405. C₂²	#15689553	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689553	2
C₂³×C₄₇⋊C₁₆	2
#20252969	2
#20245486	2
#20245482	2
#20245477	2
#20245472	2
#20245170	2
#20245095	2
#20245093	2
C₄₇×#3050	2
#33600	47