Subgroups — #26220667

Order 12032.

770 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#13094044	C₂	1	1	yes	maximal, characteristic
2	#20252033	C₂	1	1	yes	maximal, characteristic, complemented
3	#20252032	C₂	1	1	yes	maximal, characteristic, complemented
4	#20244273	C₂	1	2	yes	maximal
5	#20244135	C₂	1	2	yes	maximal, complemented
6	#20244093	C₂	1	2	yes	maximal, complemented
7	#20244089	C₂	1	2	yes	maximal, complemented
8	C₄×#13093959	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄×#13093952	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄²×C₄₇⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄×#104×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13094044	C₂²	1	1	yes	characteristic
13	C₄×#10625350	C₂²	1	1	yes	characteristic
14	C₄×#10625337	C₄	1	2	yes	complemented
15	C₄×#10625336	C₄	1	2	yes	complemented
16	C₄×#10625335	C₄	1	2	yes	complemented
17	C₄×#10625334	C₄	1	2	yes	complemented
18	#15689185	—	2	2	no	—
19	#15689184	—	2	2	no	—
20	#15689176	—	2	2	no	—
21	#15689174	—	2	2	no	—
22	C₂×#13093959	C₂²	1	2	yes	—
23	#15689159	C₂²	1	1	yes	characteristic
24	#15689151	C₂²	1	2	yes	—
25	#15689150	C₂²	1	2	yes	—
26	C₂×#13093952	C₂²	1	2	yes	—
27	#15689119	C₂²	1	1	yes	characteristic
28	#15689117	C₂²	1	1	yes	characteristic
29	#15689091	C₂²	1	2	yes	—
30	#15689090	C₂²	1	2	yes	—
31	C₄×#10625329	C₂²	1	1	yes	characteristic
32	C₂×C₄×C₄₇⋊C₈	C₂²	1	2	yes	—
33	C₂×C₄×C₄₇⋊C₈	C₂²	1	2	yes	—
34	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
35	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
36	#15688887	C₂²	1	2	yes	—
37	#15688883	C₂²	1	2	yes	—
38	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
39	C₂×#104×C₄₇	C₂²	1	2	yes	—
40	C₄×M₁₆×C₄₇	C₂²	1	1	yes	characteristic
41	C₄³×C₄₇	C₂²	1	1	yes	characteristic
42	C₄₇×#339	C₂²	1	2	yes	—
43	C₂×#10625350	C₂³	1	1	yes	characteristic
44	#13094044	—	2	4	no	—
45	C₂×#10625337	C₂×C₄	1	1	yes	characteristic
46	C₂×#10625335	C₂×C₄	1	1	yes	characteristic
47	C₂×#10625336	C₂×C₄	1	1	yes	characteristic
48	C₂×#10625334	C₂×C₄	1	1	yes	characteristic
49	C₂×#10625329	C₂³	1	2	yes	—
50	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
51	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
52	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
53	C₄×Dic₉₄	C₂×C₄	1	2	yes	—
54	C₄×D₁₈₈	C₂×C₄	1	2	yes	—
55	C₄×C₂²⋊D₄₇	—	2	2	no	—
56	#13093983	C₂³	1	1	yes	characteristic
57	#13093981	—	2	1	no	—
58	C₄²×D₄₇	—	2	1	no	—
59	#13093959	—	2	4	no	—
60	#13093957	C₂×C₄	1	2	yes	—
61	#13093955	C₂×C₄	1	2	yes	—
62	C₄⋊(C₄₇⋊C₈)	—	2	4	no	—
63	Dic₄₇⋊C₈	—	2	4	no	—
64	#13093952	—	2	4	no	—
65	#13093948	C₂×C₄	1	2	yes	—
66	#13093947	C₂×C₄	1	2	yes	—
67	#13093945	C₂×C₄	1	2	yes	—
68	#13093944	C₂×C₄	1	2	yes	—
69	C₂²⋊(C₄₇⋊C₈)	—	2	4	no	—
70	(C₂×D₄₇)⋊C₈	—	2	4	no	—
71	#13093935	—	2	1	no	—
72	C₄×C₄₇⋊C₈	—	2	1	no	—
73	C₄×C₄₇⋊C₈	—	2	4	no	—
74	C₄×C₄₇⋊C₈	—	2	4	no	—
75	C₄×C₄₇⋊C₈	C₂×C₄	1	2	yes	—
76	C₄×C₄₇⋊C₈	C₂×C₄	1	2	yes	—
77	C₄×C₄₇⋊C₈	D₄	1	2	yes	—
78	C₄×C₄₇⋊C₈	D₄	1	2	yes	—
79	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
80	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
81	C₄×Q₈×C₄₇	C₂×C₄	1	2	yes	—
82	C₄×D₄×C₄₇	—	2	2	no	—
83	C₄×D₄×C₄₇	C₂×C₄	1	2	yes	—
84	#117×C₄₇	—	2	1	no	—
85	#117×C₄₇	C₂³	1	1	yes	characteristic
86	C₂×C₄²×C₄₇	—	2	2	no	—
87	C₂×C₄²×C₄₇	—	2	1	no	—
88	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
89	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
90	#104×C₄₇	—	2	4	no	—
91	#97×C₄₇	—	2	1	no	—
92	C₄×C₈×C₄₇	—	2	1	no	—
93	#41×C₄₇	—	2	2	no	—
94	#41×C₄₇	—	2	2	no	—
95	C₂×Q₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
96	C₂×D₄×C₄₇	—	2	1	no	—
97	C₂×D₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
98	C₂²×C₄×C₄₇	—	2	2	no	—
99	C₂²×C₄×C₄₇	—	2	2	no	—
100	C₂²×C₄×C₄₇	—	2	1	no	—
101	C₂²×C₄×C₄₇	#41	1	2	yes	—
102	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
103	C₂×C₂²⋊D₄₇	—	2	1	no	—
104	#10625350	—	2	2	no	—
105	#10625350	—	2	2	no	—
106	C₂×D₁₈₈	C₂²×C₄	1	1	yes	characteristic
107	C₂×C₄×D₄₇	—	2	2	no	—
108	C₂×C₄×D₄₇	—	2	1	no	—
109	C₂×Dic₉₄	C₂²×C₄	1	1	yes	characteristic
110	M₁₆×C₄₇	—	2	2	no	—
111	M₁₆×C₄₇	—	2	2	no	—
112	C₂×C₈×C₄₇	—	2	2	no	—
113	C₄⋊C₄×C₄₇	—	2	2	no	—
114	C₄⋊C₄×C₄₇	C₂²×C₄	1	2	yes	—
115	C₂²⋊C₄×C₄₇	—	2	1	no	—
116	C₂²⋊C₄×C₄₇	—	2	2	no	—
117	C₄²×C₄₇	—	2	8	no	—
118	C₄²×C₄₇	—	2	2	no	—
119	C₄²×C₄₇	—	2	1	no	—
120	C₄²×C₄₇	—	2	2	no	—
121	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
122	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
123	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
124	C₄²×C₄₇	#41	1	4	yes	—
125	C₂²⋊Dic₄₇	—	2	1	no	—
126	#10625337	—	2	2	no	—
127	#10625336	—	2	2	no	—
128	#10625335	—	2	2	no	—
129	#10625334	—	2	2	no	—
130	(C₂×D₄₇)⋊C₄	—	2	2	no	—
131	C₄⋊Dic₄₇	C₂²×C₄	1	2	yes	—
132	Dic₄₇⋊C₄	—	2	2	no	—
133	C₄×Dic₄₇	—	2	2	no	—
134	C₄×Dic₄₇	—	2	1	no	—
135	#10625329	—	2	2	no	—
136	#10625329	—	2	2	no	—
137	C₂×C₄₇⋊C₈	—	2	2	no	—
138	C₂×C₄₇⋊C₈	—	2	2	no	—
139	C₂×C₄₇⋊C₈	—	2	2	no	—
140	C₂×C₄₇⋊C₈	—	2	2	no	—
141	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
142	C₂×C₄₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
143	C₂×C₄₇⋊C₈	C₂²×C₄	1	1	yes	characteristic
144	C₂×C₄₇⋊C₈	C₂×D₄	1	4	yes	—
145	C₂×C₄₇⋊C₈	#41	1	4	yes	—
146	C₂³×C₄₇	—	2	1	no	—
147	C₂³×C₄₇	C₂×#41	1	1	yes	characteristic
148	C₂²×D₄₇	—	2	1	no	—
149	Q₈×C₄₇	—	2	1	no	—
150	Q₈×C₄₇	—	2	1	no	—
151	D₄×C₄₇	—	2	1	no	—
152	D₄×C₄₇	—	2	1	no	—
153	D₄×C₄₇	—	4	2	no	—
154	C₂×C₄×C₄₇	—	2	8	no	—
155	C₂×C₄×C₄₇	—	2	4	no	—
156	C₂×C₄×C₄₇	—	2	4	no	—
157	C₂×C₄×C₄₇	—	2	2	no	—
158	C₂×C₄×C₄₇	—	2	1	no	—
159	C₂×C₄×C₄₇	—	4	2	no	—
160	C₂×C₄×C₄₇	—	4	4	no	—
161	C₂×C₄×C₄₇	C₄×D₄	1	2	yes	—
162	C₂×C₄×C₄₇	C₄×D₄	1	2	yes	—
163	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
164	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
165	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
166	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
167	C₂²⋊D₄₇	—	4	2	no	—
168	C₂×Dic₄₇	—	2	1	no	—
169	C₂×Dic₄₇	—	2	2	no	—
170	D₁₈₈	—	2	1	no	—
171	D₁₈₈	—	2	1	no	—
172	C₄×D₄₇	—	4	2	no	—
173	C₄×D₄₇	—	4	4	no	—
174	Dic₉₄	—	2	1	no	—
175	Dic₉₄	—	2	1	no	—
176	C₈×C₄₇	—	4	2	no	—
177	C₄₇⋊C₈	—	2	2	no	—
178	C₄₇⋊C₈	—	2	4	no	—
179	C₄₇⋊C₈	—	4	2	no	—
180	C₄₇⋊C₈	#117	1	2	yes	—
181	C₄₇⋊C₈	#117	1	2	yes	—
182	#21292	—	47	1	no	maximal, Sylow
183	C₂²×C₄₇	—	2	2	no	—
184	C₂²×C₄₇	—	4	2	no	—
185	C₂²×C₄₇	—	4	1	no	—
186	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
187	C₂²×C₄₇	#529	1	2	yes	—
188	C₂×D₄₇	—	4	2	no	—
189	C₂×D₄₇	—	4	1	no	—
190	C₄×C₄₇	—	2	8	no	—
191	C₄×C₄₇	—	2	2	no	—
192	C₄×C₄₇	—	4	2	no	—
193	C₄×C₄₇	—	4	1	no	—
194	C₄×C₄₇	#443	1	4	yes	—
195	C₄×C₄₇	C₂×#117	1	1	yes	characteristic
196	C₄×C₄₇	C₄×#41	1	1	yes	characteristic
197	C₄×C₄₇	#532	1	2	yes	—
198	Dic₄₇	—	4	2	no	—
199	Dic₄₇	—	4	1	no	—
200	C₄×#135	—	47	1	no	—
201	#2922	—	47	1	no	—
202	#2922	—	47	1	no	—
203	#1974	—	47	2	no	—
204	#1945	—	47	2	no	—
205	#1937	—	47	2	no	—
206	#1937	—	47	2	no	—
207	C₄×#108	—	47	1	no	—
208	C₄×#104	—	47	1	no	—
209	C₄×#104	D₄₇	1	1	yes	characteristic, complemented
210	C₄²×C₈	—	47	1	no	—
211	C₂×C₄₇	—	2	2	no	—
212	C₂×C₄₇	—	8	1	no	—
213	C₂×C₄₇	#2293	1	1	yes	characteristic
214	C₂×C₄₇	C₂×#443	1	2	yes	—
215	D₄₇	—	8	1	no	—
216	C₂×#135	—	47	1	no	—
217	C₄×#41	—	47	1	no	—
218	C₄×#41	C₂×D₄₇	1	1	yes	characteristic
219	C₄×Q₁₆	—	47	2	no	—
220	C₄×SD₁₆	—	47	2	no	—
221	C₄×SD₁₆	—	47	2	no	—
222	C₄×D₈	—	47	2	no	—
223	#433	—	94	2	no	—
224	#433	—	94	2	no	—
225	#431	—	94	2	no	—
226	#431	—	94	2	no	—
227	C₂×#108	—	47	2	no	—
228	#427	—	47	1	no	—
229	#424	—	47	2	no	—
230	#424	—	47	2	no	—
231	C₂×#104	—	47	2	no	—
232	C₂×#104	C₂×D₄₇	1	2	yes	—
233	#416	—	47	1	no	—
234	#416	—	47	1	no	—
235	#408	—	47	2	no	—
236	#408	—	47	2	no	—
237	C₄×M₁₆	—	47	1	no	—
238	C₄×M₁₆	C₂×D₄₇	1	1	yes	characteristic
239	C₂×C₄×C₈	—	47	1	no	—
240	C₂×C₄×C₈	—	47	1	no	—
241	C₂×C₄×C₈	—	47	2	no	—
242	C₂×C₄×C₈	—	47	2	no	—
243	C₄³	C₂×D₄₇	1	1	yes	characteristic
244	#341	—	47	2	no	—
245	#339	—	47	2	no	—
246	#339	C₂×D₄₇	1	2	yes	—
247	C₄₇	#21292	1	1	yes	characteristic, complemented, Sylow
248	C₂×#41	—	47	1	no	—
249	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
250	#135	—	94	4	no	—
251	C₂×Q₁₆	—	47	1	no	—
252	C₂×SD₁₆	—	47	1	no	—
253	C₂×SD₁₆	—	47	1	no	—
254	C₂×D₈	—	47	1	no	—
255	C₂×M₁₆	—	47	2	no	—
256	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
257	C₂²×C₈	—	47	1	no	—
258	C₂²×C₈	—	47	1	no	—
259	C₂²×C₈	—	47	2	no	—
260	C₄×Q₈	—	47	2	no	—
261	C₄×Q₈	C₄×D₄₇	1	2	yes	—
262	C₄×D₄	—	2	2	no	—
263	C₄×D₄	—	47	2	no	—
264	C₄×D₄	—	94	2	no	—
265	C₄×D₄	C₄×D₄₇	1	2	yes	—
266	#117	—	2	1	no	—
267	#117	—	47	1	no	—
268	#117	—	94	1	no	—
269	#117	C₂²×D₄₇	1	1	yes	characteristic
270	C₂×C₄²	—	2	2	no	—
271	C₂×C₄²	—	2	1	no	—
272	C₂×C₄²	—	94	1	no	—
273	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
274	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
275	#108	—	94	4	no	—
276	#107	—	47	2	no	—
277	#106	—	47	2	no	—
278	C₄⋊C₈	—	94	4	no	—
279	C₄⋊C₈	—	94	4	no	—
280	#104	—	2	4	no	—
281	#104	—	94	4	no	—
282	#103	—	47	2	no	—
283	#103	—	47	2	no	—
284	#102	—	47	2	no	—
285	#102	—	47	2	no	—
286	C₂²⋊C₈	—	94	4	no	—
287	C₂²⋊C₈	—	94	4	no	—
288	#97	—	2	1	no	—
289	#97	—	94	1	no	—
290	C₄×C₈	—	2	1	no	—
291	C₄×C₈	—	47	2	no	—
292	C₄×C₈	—	47	2	no	—
293	C₄×C₈	—	47	2	no	—
294	C₄×C₈	—	47	2	no	—
295	C₄×C₈	—	94	4	no	—
296	C₄×C₈	—	94	4	no	—
297	C₄×C₈	—	94	1	no	—
298	#41	—	2	2	no	—
299	#41	—	2	2	no	—
300	#41	—	94	2	no	—
301	#41	—	94	2	no	—
302	C₂×Q₈	—	47	1	no	—
303	C₂×Q₈	C₂×C₄×D₄₇	1	1	yes	characteristic
304	C₂×D₄	—	2	1	no	—
305	C₂×D₄	—	47	1	no	—
306	C₂×D₄	—	94	1	no	—
307	C₂×D₄	C₂×C₄×D₄₇	1	1	yes	characteristic
308	C₂²×C₄	—	2	2	no	—
309	C₂²×C₄	—	2	2	no	—
310	C₂²×C₄	—	2	1	no	—
311	C₂²×C₄	—	94	2	no	—
312	C₂²×C₄	—	94	1	no	—
313	C₂²×C₄	#10625352	1	2	yes	—
314	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
315	Q₁₆	—	94	2	no	—
316	SD₁₆	—	94	2	no	—
317	SD₁₆	—	94	2	no	—
318	D₈	—	94	2	no	—
319	M₁₆	—	2	2	no	—
320	M₁₆	—	2	2	no	—
321	M₁₆	—	94	2	no	—
322	M₁₆	—	94	2	no	—
323	C₂×C₈	—	2	2	no	—
324	C₂×C₈	—	47	1	no	—
325	C₂×C₈	—	47	1	no	—
326	C₂×C₈	—	47	4	no	—
327	C₂×C₈	—	47	2	no	—
328	C₂×C₈	—	47	4	no	—
329	C₂×C₈	—	94	2	no	—
330	C₂×C₈	—	94	2	no	—
331	C₂×C₈	—	94	2	no	—
332	C₂×C₈	—	94	2	no	—
333	C₄⋊C₄	—	2	2	no	—
334	C₄⋊C₄	—	47	2	no	—
335	C₄⋊C₄	—	94	2	no	—
336	C₄⋊C₄	C₂×C₄×D₄₇	1	2	yes	—
337	C₂²⋊C₄	—	2	1	no	—
338	C₂²⋊C₄	—	2	2	no	—
339	C₂²⋊C₄	—	94	1	no	—
340	C₂²⋊C₄	—	94	2	no	—
341	C₄²	—	2	8	no	—
342	C₄²	—	2	2	no	—
343	C₄²	—	2	1	no	—
344	C₄²	—	2	2	no	—
345	C₄²	—	94	2	no	—
346	C₄²	—	94	1	no	—
347	C₄²	C₂×C₄×D₄₇	1	2	yes	—
348	C₄²	#10625350	1	4	yes	—
349	C₄²	D₄×D₄₇	1	1	yes	characteristic
350	C₄²	D₄×D₄₇	1	1	yes	characteristic
351	C₂³	—	2	1	no	—
352	C₂³	—	94	1	no	—
353	C₂³	C₂×#10625352	1	1	yes	characteristic
354	Q₈	—	2	1	no	—
355	Q₈	—	2	1	no	—
356	Q₈	—	94	1	no	—
357	Q₈	—	94	1	no	—
358	D₄	—	2	1	no	—
359	D₄	—	2	1	no	—
360	D₄	—	4	2	no	—
361	D₄	—	94	1	no	—
362	D₄	—	94	1	no	—
363	D₄	—	188	2	no	—
364	C₂×C₄	—	2	8	no	—
365	C₂×C₄	—	2	4	no	—
366	C₂×C₄	—	2	4	no	—
367	C₂×C₄	—	2	2	no	—
368	C₂×C₄	—	2	1	no	—
369	C₂×C₄	—	4	4	no	—
370	C₂×C₄	—	4	2	no	—
371	C₂×C₄	—	94	2	no	—
372	C₂×C₄	—	94	1	no	—
373	C₂×C₄	—	188	4	no	—
374	C₂×C₄	—	188	2	no	—
375	C₂×C₄	(C₂²⋊D₄₇)⋊C₄	1	2	yes	—
376	C₂×C₄	(C₂²⋊D₄₇)⋊C₄	1	2	yes	—
377	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
378	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
379	C₂×C₄	#41×D₄₇	1	2	yes	—
380	C₂×C₄	C₂×#10625350	1	2	yes	—
381	C₈	—	4	2	no	—
382	C₈	—	47	2	no	—
383	C₈	—	47	2	no	—
384	C₈	—	94	2	no	—
385	C₈	—	94	4	no	—
386	C₈	—	188	2	no	—
387	C₂²	—	2	2	no	—
388	C₂²	—	4	1	no	—
389	C₂²	—	4	2	no	—
390	C₂²	—	188	1	no	—
391	C₂²	—	188	2	no	—
392	C₂²	C₂×(C₂²⋊D₄₇)⋊C₄	1	1	yes	characteristic
393	C₂²	#15689653	1	2	yes	—
394	C₄	—	2	8	no	—
395	C₄	—	2	2	no	—
396	C₄	—	4	1	no	—
397	C₄	—	4	2	no	—
398	C₄	—	188	1	no	—
399	C₄	—	188	2	no	—
400	C₄	#15689237	1	4	yes	—
401	C₄	#117×D₄₇	1	1	yes	characteristic
402	C₄	C₄×#10625350	1	1	yes	characteristic
403	C₄	#15689670	1	2	yes	—
404	C₂	—	2	2	no	—
405	C₂	—	8	1	no	—
406	C₂	—	376	1	no	—
407	C₂	#20245851	1	1	yes	characteristic
408	C₂	C₂×#15689237	1	2	yes	—

	subgroup	G/H
center	C₄²	D₄×D₄₇
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₄×#104×C₄₇	C₂
socle	C₂²×C₄₇	C₂×C₄×D₄
prime radical	C₂×#13094044	C₂²
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	C₄×#104	D₄₇
hypocenter	C₄₇	#21292
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₄² ◁ C₂×C₄² ◁ C₄×#104

Complements

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

N	H ≅ G/N	type
2. #20252033	C₂	semidirect
3. #20252032	C₂	semidirect
5. #20244135	C₂	semidirect
6. #20244093	C₂	semidirect
7. #20244089	C₂	semidirect
8. C₄×#13093959	C₂	semidirect
9. C₄×#13093952	C₂	semidirect
10. C₄²×C₄₇⋊C₈	C₂	semidirect
11. C₄×#104×C₄₇	C₂	semidirect
14. C₄×#10625337	C₄	semidirect
15. C₄×#10625336	C₄	semidirect
16. C₄×#10625335	C₄	semidirect
17. C₄×#10625334	C₄	semidirect
209. C₄×#104	D₄₇	semidirect
247. C₄₇	#21292	semidirect

Maximal subgroups

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

subgroup	index
C₄×#13094044	2
#20252033	2
#20252032	2
#20244273	2
#20244135	2
#20244093	2
#20244089	2
C₄×#13093959	2
C₄×#13093952	2
C₄²×C₄₇⋊C₈	2
C₄×#104×C₄₇	2
#21292	47