Subgroups — #26234752

Order 12032.

862 conjugacy classes of subgroups.

The subgroup lattice has 426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689239	C₂	1	1	yes	maximal, characteristic
2	#20252273	C₂	1	1	yes	maximal, characteristic
3	#20252271	C₂	1	1	yes	maximal, characteristic
4	#20251982	C₂	1	2	yes	maximal, complemented
5	#20244169	C₂	1	1	yes	maximal, characteristic, complemented
6	#20243617	C₂	1	2	yes	maximal, complemented
7	#20243611	C₂	1	2	yes	maximal, complemented
8	#20243543	C₂	1	1	yes	maximal, characteristic, complemented
9	#20243446	C₂	1	2	yes	maximal, complemented
10	#20243268	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#1951	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13094046	C₂²	1	1	yes	characteristic
13	C₂×#13094032	C₂²	1	2	yes	—
14	#15689604	C₂²	1	2	yes	—
15	#15689603	C₂²	1	2	yes	—
16	#15689239	C₄	1	8	yes	complemented
17	#15689236	—	2	1	no	—
18	#15689234	—	2	1	no	—
19	#15689231	—	2	1	no	—
20	#15689229	—	2	1	no	—
21	C₄×#10625325	—	2	2	no	—
22	#15689210	—	2	2	no	—
23	C₂×#13093959	C₂²	1	1	yes	characteristic
24	#15689165	C₂²	1	2	yes	—
25	#15689164	—	2	2	no	—
26	#15689162	—	2	2	no	—
27	#15689160	—	2	2	no	—
28	#15689159	C₂²	1	1	yes	characteristic
29	C₂×#13093956	C₂²	1	1	yes	characteristic
30	C₂×#13093955	C₂²	1	2	yes	—
31	#106×D₄₇	—	2	2	no	—
32	C₂×#13093950	C₂²	1	2	yes	—
33	#15689125	C₂²	1	2	yes	—
34	#15689122	C₂²	1	2	yes	—
35	#15689078	C₂²	1	1	yes	characteristic
36	C₂×C₈×Dic₄₇	C₂²	1	1	yes	characteristic
37	#15688992	C₂²	1	2	yes	—
38	#15688891	C₂²	1	2	yes	—
39	#15688884	C₂²	1	1	yes	characteristic
40	#15688882	C₂²	1	1	yes	characteristic
41	C₂×#108×C₄₇	C₂²	1	1	yes	characteristic
42	C₄₇×#428	C₂²	1	2	yes	—
43	C₂×#106×C₄₇	C₂²	1	1	yes	characteristic
44	C₄₇×#405	C₂²	1	1	yes	characteristic
45	C₄₇×#343	C₂²	1	2	yes	—
46	C₂×#10625350	C₂³	1	2	yes	—
47	#13094046	C₂×C₄	1	4	yes	—
48	#13094046	Q₈	1	4	yes	—
49	C₂×Dic₁₈₈	D₄	1	1	yes	characteristic
50	C₂×#10625325	D₄	1	2	yes	—
51	C₂×D₃₇₆	D₄	1	1	yes	characteristic
52	#13094032	—	2	4	no	—
53	#13094032	C₂×C₄	1	8	yes	complemented
54	C₂×#10625329	C₂³	1	1	yes	characteristic
55	C₂×#10625324	—	2	2	no	—
56	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
57	C₂×C₈×D₄₇	—	2	2	no	—
58	C₄×Dic₉₄	—	2	2	no	—
59	#13093989	—	2	2	no	—
60	C₄×D₁₈₈	—	2	2	no	—
61	#13093986	—	2	2	no	—
62	C₄×C₂²⋊D₄₇	—	4	2	no	—
63	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
64	#13093983	C₂³	1	1	yes	characteristic
65	#13093982	—	2	2	no	—
66	#13093982	—	2	2	no	—
67	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
68	C₂×Dic₄₇⋊C₄	—	4	2	no	—
69	C₄⋊C₄×D₄₇	—	2	2	no	—
70	C₄⋊C₄×D₄₇	—	2	2	no	—
71	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
72	#13093959	—	2	2	no	—
73	#13093958	—	2	2	no	—
74	#13093957	D₄	1	2	yes	—
75	#13093956	—	2	1	no	—
76	#13093956	—	2	1	no	—
77	#13093956	—	2	2	no	—
78	#13093955	—	2	2	no	—
79	#13093955	—	2	2	no	—
80	#13093955	D₄	1	2	yes	—
81	#13093950	C₂×C₄	1	8	yes	complemented
82	#13093949	—	2	2	no	—
83	#13093947	—	2	2	no	—
84	#13093946	—	2	2	no	—
85	#13093944	—	2	2	no	—
86	#13093934	—	2	1	no	—
87	C₈×Dic₄₇	—	2	1	no	—
88	C₈×Dic₄₇	C₂×C₄	1	4	yes	complemented
89	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
90	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
91	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
92	#117×C₄₇	C₂³	1	1	yes	characteristic
93	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
94	#108×C₄₇	C₂×C₄	1	4	yes	complemented
95	#107×C₄₇	—	2	2	no	—
96	#106×C₄₇	—	2	1	no	—
97	#106×C₄₇	—	2	1	no	—
98	#106×C₄₇	—	2	2	no	—
99	#97×C₄₇	—	2	1	no	—
100	C₄×C₈×C₄₇	—	2	1	no	—
101	C₂²×C₄×C₄₇	—	2	2	no	—
102	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
103	C₂×C₂²⋊D₄₇	—	2	2	no	—
104	C₂²×Dic₄₇	—	2	1	no	—
105	C₂²×Dic₄₇	—	2	2	no	—
106	#10625350	—	2	2	no	—
107	#10625350	—	2	2	no	—
108	#10625350	C₂²×C₄	1	4	yes	—
109	#10625350	C₂×Q₈	1	4	yes	—
110	C₂×D₁₈₈	C₂×D₄	1	2	yes	—
111	C₂×C₄×D₄₇	—	2	2	no	—
112	C₂×C₄×D₄₇	—	4	2	no	—
113	C₂×C₄×D₄₇	—	4	2	no	—
114	C₂×Dic₉₄	C₂×D₄	1	2	yes	—
115	M₁₆×C₄₇	—	2	2	no	—
116	M₁₆×C₄₇	—	2	1	no	—
117	M₁₆×C₄₇	—	2	1	no	—
118	M₁₆×C₄₇	C₂²×C₄	1	4	yes	—
119	C₂×C₈×C₄₇	—	2	2	no	—
120	C₂×C₈×C₄₇	—	2	1	no	—
121	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
122	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
123	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
124	C₂×C₈×C₄₇	C₂×Q₈	1	2	yes	—
125	C₄⋊C₄×C₄₇	—	2	2	no	—
126	C₄⋊C₄×C₄₇	—	2	2	no	—
127	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
128	C₂²⋊C₄×C₄₇	—	2	1	no	—
129	C₄²×C₄₇	—	2	1	no	—
130	C₂²⋊Dic₄₇	—	2	1	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	Dic₄₇⋊C₄	—	4	2	no	—
137	Dic₄₇⋊C₄	—	4	2	no	—
138	Dic₄₇⋊C₄	—	8	4	no	—
139	C₄×Dic₄₇	—	2	1	no	—
140	C₄×Dic₄₇	—	2	1	no	—
141	C₄×Dic₄₇	—	4	2	no	—
142	C₄×Dic₄₇	—	4	2	no	—
143	C₄×Dic₄₇	C₂²×C₄	1	2	yes	—
144	#10625329	—	2	1	no	—
145	#10625329	—	2	1	no	—
146	C₂×C₄₇⋊C₈	—	2	1	no	—
147	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
148	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
149	C₂×C₄₇⋊C₈	C₂×D₄	1	1	yes	characteristic
150	C₂×C₄₇⋊C₈	#41	1	2	yes	—
151	Dic₁₈₈	C₄⋊C₄	1	4	yes	complemented
152	D₃₇₆	C₄⋊C₄	1	4	yes	complemented
153	#10625325	C₄⋊C₄	1	8	yes	complemented
154	#10625324	—	2	8	no	—
155	C₈×D₄₇	—	2	8	no	—
156	C₂³×C₄₇	H(5,𝔽₂)	1	1	yes	characteristic
157	C₂²×D₄₇	—	2	2	no	—
158	C₂×C₄×C₄₇	—	2	2	no	—
159	C₂×C₄×C₄₇	—	4	2	no	—
160	C₂×C₄×C₄₇	—	8	2	no	—
161	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
162	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
164	C₂×C₄×C₄₇	C₂²×Q₈	1	1	yes	characteristic
165	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
166	C₂×C₄×C₄₇	2₋¹⁺⁴	1	1	yes	characteristic
167	C₂²⋊D₄₇	—	2	4	no	—
168	C₂²⋊D₄₇	—	2	4	no	—
169	C₂×Dic₄₇	—	2	4	no	—
170	C₂×Dic₄₇	—	2	2	no	—
171	C₂×Dic₄₇	—	2	2	no	—
172	C₂×Dic₄₇	—	2	2	no	—
173	C₂×Dic₄₇	—	4	2	no	—
174	C₂×Dic₄₇	—	8	2	no	—
175	D₁₈₈	—	2	2	no	—
176	D₁₈₈	C₂×C₄⋊C₄	1	4	yes	—
177	C₄×D₄₇	—	2	4	no	—
178	C₄×D₄₇	—	2	4	no	—
179	C₄×D₄₇	—	16	2	no	—
180	C₄×D₄₇	—	16	2	no	—
181	Dic₉₄	—	2	2	no	—
182	Dic₉₄	C₂×C₄⋊C₄	1	4	yes	—
183	C₈×C₄₇	—	2	4	no	—
184	C₈×C₄₇	—	4	1	no	—
185	C₈×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
186	C₈×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
187	C₄₇⋊C₈	—	4	1	no	—
188	C₄₇⋊C₈	C₄×D₄	1	2	yes	—
189	C₄₇⋊C₈	C₄×D₄	1	2	yes	—
190	#22689	—	47	1	no	maximal, Sylow
191	C₂²×C₄₇	—	2	2	no	—
192	C₂²×C₄₇	#520	1	1	yes	characteristic
193	C₂²×C₄₇	D₄²	1	1	yes	characteristic
194	C₂²×C₄₇	#554	1	1	yes	characteristic
195	C₂×D₄₇	—	2	4	no	—
196	C₂×D₄₇	—	4	2	no	—
197	C₂×D₄₇	—	4	2	no	—
198	C₄×C₄₇	—	4	2	no	—
199	C₄×C₄₇	—	8	2	no	—
200	C₄×C₄₇	C₂²×C₄⋊C₄	1	1	yes	characteristic
201	C₄×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
202	C₄×C₄₇	#547	1	1	yes	characteristic
203	C₄×C₄₇	D₄×Q₈	1	1	yes	characteristic
204	Dic₄₇	—	2	4	no	—
205	Dic₄₇	—	2	4	no	—
206	Dic₄₇	—	4	2	no	—
207	Dic₄₇	—	8	2	no	—
208	C₂×#443	—	47	1	no	—
209	#2952	—	47	1	no	—
210	#2952	—	47	1	no	—
211	#2912	—	47	2	no	—
212	#1951	—	47	1	no	—
213	#1951	D₄₇	1	1	yes	characteristic, complemented
214	#1859	—	47	2	no	—
215	#1859	—	47	2	no	—
216	#1844	—	47	1	no	—
217	#1815	—	47	2	no	—
218	#1772	—	47	1	no	—
219	C₂×C₄₇	—	2	1	no	—
220	C₂×C₄₇	—	2	1	no	—
221	C₂×C₄₇	D₄×C₄⋊C₄	1	1	yes	characteristic
222	C₂×C₄₇	#3291	1	2	yes	—
223	D₄₇	—	4	4	no	—
224	C₂×#135	—	47	1	no	—
225	C₂×#131	—	47	2	no	—
226	#520	—	47	2	no	—
227	#520	—	47	2	no	—
228	#443	—	47	8	no	—
229	#442	—	94	1	no	—
230	#442	—	94	1	no	—
231	#441	—	94	1	no	—
232	#441	—	94	1	no	—
233	C₄×SD₁₆	—	94	2	no	—
234	C₄×SD₁₆	—	94	2	no	—
235	C₂×#108	—	47	1	no	—
236	C₂×#108	C₂×D₄₇	1	1	yes	characteristic
237	#428	—	47	2	no	—
238	#428	—	94	2	no	—
239	#428	—	94	2	no	—
240	#428	C₂×D₄₇	1	2	yes	—
241	#427	—	47	1	no	—
242	#427	—	94	2	no	—
243	C₂×#106	—	47	1	no	—
244	C₂×#106	—	47	2	no	—
245	C₂×#106	—	94	2	no	—
246	C₂×#106	C₂×D₄₇	1	1	yes	characteristic
247	C₂×#104	—	47	2	no	—
248	#417	—	47	2	no	—
249	#417	—	47	2	no	—
250	#405	—	47	1	no	—
251	#405	C₂×D₄₇	1	1	yes	characteristic
252	C₂×C₄×C₈	—	47	1	no	—
253	#384	—	47	2	no	—
254	#343	—	47	2	no	—
255	#343	C₂×D₄₇	1	2	yes	—
256	#339	—	47	1	no	—
257	#339	—	47	1	no	—
258	C₄₇	#22689	1	1	yes	characteristic, complemented, Sylow
259	C₂×#41	—	47	2	no	—
260	#135	—	47	4	no	—
261	#135	—	47	4	no	—
262	C₂×Q₁₆	—	47	1	no	—
263	C₂×SD₁₆	—	47	2	no	—
264	C₂×D₈	—	47	1	no	—
265	#131	—	47	8	no	—
266	#131	—	94	4	no	—
267	C₂×M₁₆	—	47	1	no	—
268	C₂×M₁₆	—	94	2	no	—
269	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
270	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
271	C₂²×C₈	—	47	1	no	—
272	C₂²×C₈	—	94	2	no	—
273	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
274	C₄×Q₈	—	94	2	no	—
275	C₄×Q₈	—	94	2	no	—
276	C₄×D₄	—	94	2	no	—
277	C₄×D₄	—	94	2	no	—
278	C₄×D₄	—	188	2	no	—
279	C₄×D₄	—	188	2	no	—
280	#117	—	47	1	no	—
281	#117	—	94	2	no	—
282	#117	—	94	2	no	—
283	#117	C₂²×D₄₇	1	1	yes	characteristic
284	C₂×C₄⋊C₄	—	47	2	no	—
285	C₂×C₄⋊C₄	—	94	2	no	—
286	C₂×C₄⋊C₄	—	94	2	no	—
287	C₂×C₄⋊C₄	—	188	2	no	—
288	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
289	C₂×C₄²	—	47	1	no	—
290	#108	—	94	2	no	—
291	#108	C₄×D₄₇	1	4	yes	complemented
292	#107	—	2	2	no	—
293	#107	—	47	2	no	—
294	#107	—	94	2	no	—
295	#106	—	2	1	no	—
296	#106	—	2	1	no	—
297	#106	—	2	2	no	—
298	#106	—	47	2	no	—
299	#106	—	94	2	no	—
300	#106	—	94	2	no	—
301	#106	—	94	2	no	—
302	#106	—	94	1	no	—
303	#106	—	94	1	no	—
304	#104	—	47	8	no	—
305	#103	—	94	2	no	—
306	#103	—	94	2	no	—
307	#102	—	94	2	no	—
308	#102	—	94	2	no	—
309	#97	—	2	1	no	—
310	#97	—	94	1	no	—
311	C₄×C₈	—	2	1	no	—
312	C₄×C₈	—	47	4	no	—
313	C₄×C₈	—	94	1	no	—
314	#41	—	47	4	no	—
315	#41	—	47	4	no	—
316	#41	—	94	2	no	—
317	#41	—	94	2	no	—
318	C₂×Q₈	—	47	2	no	—
319	C₂×D₄	—	47	2	no	—
320	C₂×D₄	—	94	2	no	—
321	C₂²×C₄	—	2	2	no	—
322	C₂²×C₄	—	94	1	no	—
323	C₂²×C₄	—	94	2	no	—
324	C₂²×C₄	—	94	2	no	—
325	C₂²×C₄	—	188	2	no	—
326	C₂²×C₄	—	188	2	no	—
327	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
328	Q₁₆	—	47	4	no	—
329	SD₁₆	—	47	8	no	—
330	D₈	—	47	4	no	—
331	M₁₆	—	2	2	no	—
332	M₁₆	—	2	1	no	—
333	M₁₆	—	2	1	no	—
334	M₁₆	—	94	8	no	—
335	M₁₆	—	94	1	no	—
336	M₁₆	—	94	1	no	—
337	M₁₆	C₂×C₄×D₄₇	1	4	yes	—
338	C₂×C₈	—	2	2	no	—
339	C₂×C₈	—	2	1	no	—
340	C₂×C₈	—	47	2	no	—
341	C₂×C₈	—	47	1	no	—
342	C₂×C₈	—	47	1	no	—
343	C₂×C₈	—	47	2	no	—
344	C₂×C₈	—	94	8	no	—
345	C₂×C₈	—	94	1	no	—
346	C₂×C₈	C₂×C₄×D₄₇	1	2	yes	—
347	C₂×C₈	D₄×D₄₇	1	1	yes	characteristic
348	C₂×C₈	D₄×D₄₇	1	1	yes	characteristic
349	C₂×C₈	Q₈×D₄₇	1	2	yes	—
350	C₄⋊C₄	—	2	2	no	—
351	C₄⋊C₄	—	2	2	no	—
352	C₄⋊C₄	—	47	2	no	—
353	C₄⋊C₄	—	94	2	no	—
354	C₄⋊C₄	—	94	2	no	—
355	C₄⋊C₄	—	376	4	no	—
356	C₄⋊C₄	—	188	2	no	—
357	C₄⋊C₄	—	188	2	no	—
358	C₄⋊C₄	D₄×D₄₇	1	2	yes	—
359	C₂²⋊C₄	—	2	1	no	—
360	C₂²⋊C₄	—	94	1	no	—
361	C₂²⋊C₄	—	188	2	no	—
362	C₂²⋊C₄	—	188	2	no	—
363	C₄²	—	2	1	no	—
364	C₄²	—	47	2	no	—
365	C₄²	—	94	1	no	—
366	C₄²	—	94	1	no	—
367	C₄²	—	188	2	no	—
368	C₄²	—	188	2	no	—
369	C₂³	—	94	2	no	—
370	C₂³	#13094070	1	1	yes	characteristic
371	Q₈	—	47	4	no	—
372	Q₈	—	94	2	no	—
373	D₄	—	47	4	no	—
374	D₄	—	94	4	no	—
375	D₄	—	94	4	no	—
376	D₄	—	94	2	no	—
377	C₂×C₄	—	2	2	no	—
378	C₂×C₄	—	4	2	no	—
379	C₂×C₄	—	8	2	no	—
380	C₂×C₄	—	94	4	no	—
381	C₂×C₄	—	94	2	no	—
382	C₂×C₄	—	94	2	no	—
383	C₂×C₄	—	94	4	no	—
384	C₂×C₄	—	94	4	no	—
385	C₂×C₄	—	94	2	no	—
386	C₂×C₄	—	376	2	no	—
387	C₂×C₄	—	188	2	no	—
388	C₂×C₄	—	752	2	no	—
389	C₂×C₄	—	752	2	no	—
390	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
391	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
392	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
393	C₂×C₄	C₂×Q₈×D₄₇	1	1	yes	characteristic
394	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
395	C₂×C₄	#13094072	1	1	yes	characteristic
396	C₈	—	2	4	no	—
397	C₈	—	4	1	no	—
398	C₈	—	47	2	no	—
399	C₈	—	47	2	no	—
400	C₈	—	188	1	no	—
401	C₈	C₄⋊C₄×D₄₇	1	2	yes	—
402	C₈	C₄⋊C₄×D₄₇	1	2	yes	—
403	C₂²	—	2	2	no	—
404	C₂²	—	94	4	no	—
405	C₂²	—	188	2	no	—
406	C₂²	—	188	2	no	—
407	C₂²	#15689605	1	1	yes	characteristic
408	C₂²	#15689757	1	1	yes	characteristic
409	C₂²	#15689829	1	1	yes	characteristic
410	C₄	—	4	2	no	—
411	C₄	—	8	2	no	—
412	C₄	—	94	4	no	—
413	C₄	—	94	4	no	—
414	C₄	—	376	2	no	—
415	C₄	—	188	2	no	—
416	C₄	C₂×C₄⋊C₄×D₄₇	1	1	yes	characteristic
417	C₄	C₄×D₄×D₄₇	1	1	yes	characteristic
418	C₄	#15689775	1	1	yes	characteristic
419	C₄	#15689788	1	1	yes	characteristic
420	C₂	—	2	1	no	—
421	C₂	—	2	1	no	—
422	C₂	—	188	4	no	—
423	C₂	#20246289	1	1	yes	characteristic
424	C₂	#20255180	1	2	yes	—

	subgroup	G/H
center	C₂²	#15689757
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₄₇×#1951	C₂
socle	C₂²×C₄₇	D₄²
prime radical	C₂×#13094046	C₂²
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	#1951	D₄₇
hypocenter	C₄₇	#22689
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #1951

Complements

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

N	H ≅ G/N	type
4. #20251982	C₂	semidirect
5. #20244169	C₂	semidirect
6. #20243617	C₂	semidirect
7. #20243611	C₂	semidirect
8. #20243543	C₂	semidirect
9. #20243446	C₂	semidirect
10. #20243268	C₂	semidirect
11. C₄₇×#1951	C₂	semidirect
16. #15689239	C₄	semidirect
53. #13094032	C₂×C₄	semidirect
81. #13093950	C₂×C₄	semidirect
88. C₈×Dic₄₇	C₂×C₄	semidirect
94. #108×C₄₇	C₂×C₄	semidirect
151. Dic₁₈₈	C₄⋊C₄	semidirect
152. D₃₇₆	C₄⋊C₄	semidirect
153. #10625325	C₄⋊C₄	semidirect
213. #1951	D₄₇	semidirect
258. C₄₇	#22689	semidirect
291. #108	C₄×D₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689239	2
#20252273	2
#20252271	2
#20251982	2
#20244169	2
#20243617	2
#20243611	2
#20243543	2
#20243446	2
#20243268	2
C₄₇×#1951	2
#22689	47