Subgroups — #26219709

Order 12032.

914 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689170	C₂	1	1	yes	maximal, characteristic
2	#20251976	C₂	1	1	yes	maximal, characteristic
3	#20251949	C₂	1	2	yes	maximal
4	C₂×C₄×#10625324	C₂	1	1	yes	maximal, characteristic
5	#20244142	C₂	1	1	yes	maximal, characteristic, complemented
6	#20244139	C₂	1	1	yes	maximal, characteristic, complemented
7	#20244138	C₂	1	2	yes	maximal, complemented
8	#20244136	C₂	1	1	yes	maximal, characteristic, complemented
9	#20244135	C₂	1	2	yes	maximal, complemented
10	#339×D₄₇	C₂	1	2	yes	maximal
11	C₄₇×#1945	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#10625324	C₂²	1	1	yes	characteristic
13	C₂²×#10625324	C₂²	1	1	yes	characteristic
14	C₂×M₁₆×D₄₇	C₂²	1	2	yes	—
15	#117×D₄₇	C₂²	1	2	yes	—
16	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
17	#15689170	—	2	4	no	—
18	C₂×#13093960	C₂²	1	1	yes	characteristic
19	C₂×#13093959	C₂²	1	2	yes	—
20	#15689164	C₄	1	4	yes	complemented
21	#15689162	C₄	1	4	yes	complemented
22	#15689161	C₂²	1	1	yes	characteristic
23	#15689159	C₂²	1	2	yes	—
24	#15689151	C₂²	1	2	yes	—
25	#15689150	C₂²	1	2	yes	—
26	#15689149	C₂²	1	2	yes	—
27	#15689148	—	2	4	no	—
28	#15689145	—	2	4	no	—
29	C₄×#10625324	—	2	4	no	—
30	C₂×#13093934	C₂²	1	1	yes	characteristic
31	C₂×#13093934	C₂²	1	1	yes	characteristic
32	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
33	#15688884	C₂²	1	2	yes	—
34	#15688883	C₂²	1	2	yes	—
35	#15688882	C₂²	1	2	yes	—
36	C₂×#108×C₄₇	C₂²	1	1	yes	characteristic
37	C₄₇×#427	C₂²	1	1	yes	characteristic
38	C₄₇×#424	C₂²	1	2	yes	—
39	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
40	C₄₇×#339	C₂²	1	2	yes	—
41	C₂²×C₄×D₄₇	—	2	1	no	—
42	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
43	C₂×#10625329	C₂³	1	2	yes	—
44	C₂×#10625324	—	2	2	no	—
45	C₂×#10625324	—	2	2	no	—
46	C₂×#10625324	—	2	2	no	—
47	C₂×#10625324	C₂×C₄	1	2	yes	—
48	C₂×#10625324	C₂×C₄	1	2	yes	—
49	C₂×#10625324	D₄	1	4	yes	—
50	C₂×#10625324	D₄	1	4	yes	—
51	C₂×#10625324	Q₈	1	4	yes	—
52	M₁₆×D₄₇	—	2	4	no	—
53	M₁₆×D₄₇	—	2	4	no	—
54	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
55	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
56	C₂×C₈×D₄₇	—	2	2	no	—
57	#13093983	C₂³	1	2	yes	—
58	#13093982	C₂×C₄	1	4	yes	—
59	#13093981	—	2	2	no	—
60	#13093980	—	2	2	no	—
61	C₄⋊C₄×D₄₇	C₂×C₄	1	4	yes	—
62	C₂²⋊C₄×D₄₇	—	2	2	no	—
63	C₂×C₄×Dic₄₇	—	2	1	no	—
64	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
65	C₄²×D₄₇	—	2	2	no	—
66	C₄²×D₄₇	—	2	2	no	—
67	C₄²×D₄₇	Q₈	1	4	yes	—
68	#13093960	—	2	2	no	—
69	#13093959	—	2	4	no	—
70	#13093958	C₂×C₄	1	2	yes	complemented
71	#13093957	C₂×C₄	1	4	yes	complemented
72	#13093956	C₂×C₄	1	2	yes	complemented
73	#13093955	C₂×C₄	1	4	yes	complemented
74	C₄⋊(C₄₇⋊C₈)	—	2	4	no	—
75	Dic₄₇⋊C₈	—	2	4	no	—
76	Dic₄₇⋊C₈	—	2	4	no	—
77	#13093934	—	2	2	no	—
78	#13093934	—	2	2	no	—
79	C₄×C₄₇⋊C₈	—	2	2	no	—
80	C₂×M₁₆×C₄₇	C₂³	1	2	yes	—
81	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
82	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
83	#117×C₄₇	C₂³	1	2	yes	—
84	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
85	#108×C₄₇	—	2	2	no	—
86	#107×C₄₇	C₂×C₄	1	2	yes	complemented
87	#106×C₄₇	C₂×C₄	1	2	yes	complemented
88	C₄⋊C₈×C₄₇	—	2	4	no	—
89	C₄×C₈×C₄₇	—	2	2	no	—
90	C₂³×D₄₇	#41	1	1	yes	characteristic
91	C₂²×C₄×C₄₇	—	2	1	no	—
92	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
93	C₂²×Dic₄₇	—	2	1	no	—
94	C₂²×Dic₄₇	#41	1	1	yes	characteristic
95	C₂×C₄×D₄₇	—	2	4	no	—
96	C₂×C₄×D₄₇	—	2	4	no	—
97	C₂×C₄×D₄₇	—	4	4	no	—
98	C₂×C₄×D₄₇	C₂²×C₄	1	2	yes	—
99	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
100	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
101	C₂×C₄×D₄₇	C₂×Q₈	1	2	yes	—
102	C₂×C₄×D₄₇	C₂×Q₈	1	2	yes	—
103	C₂×C₄×D₄₇	#41	1	2	yes	—
104	M₁₆×C₄₇	—	2	2	no	—
105	M₁₆×C₄₇	—	2	2	no	—
106	C₂×C₈×C₄₇	—	2	1	no	—
107	C₂×C₈×C₄₇	—	2	1	no	—
108	C₂×C₈×C₄₇	—	2	2	no	—
109	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
110	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
111	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
112	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
113	C₂×C₈×C₄₇	C₂×Q₈	1	2	yes	—
114	C₄⋊C₄×C₄₇	C₂²×C₄	1	4	yes	—
115	C₂²⋊C₄×C₄₇	—	2	2	no	—
116	C₄²×C₄₇	—	2	2	no	—
117	C₄²×C₄₇	—	2	1	no	—
118	C₄²×C₄₇	C₂×Q₈	1	2	yes	—
119	C₂²⋊Dic₄₇	—	2	2	no	—
120	(C₂×D₄₇)⋊C₄	—	2	4	no	—
121	C₄⋊Dic₄₇	C₂²×C₄	1	4	yes	—
122	Dic₄₇⋊C₄	—	2	4	no	—
123	C₄×Dic₄₇	—	2	1	no	—
124	C₄×Dic₄₇	—	2	2	no	—
125	C₄×Dic₄₇	—	2	4	no	—
126	C₄×Dic₄₇	—	2	4	no	—
127	C₄×Dic₄₇	C₂×Q₈	1	2	yes	—
128	#10625329	—	2	2	no	—
129	#10625329	—	2	2	no	—
130	C₂×C₄₇⋊C₈	—	2	1	no	—
131	C₂×C₄₇⋊C₈	—	2	1	no	—
132	C₂×C₄₇⋊C₈	—	2	2	no	—
133	C₂×C₄₇⋊C₈	C₂²×C₄	1	2	yes	—
134	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
135	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
136	C₂×C₄₇⋊C₈	C₂×Q₈	1	2	yes	—
137	#10625324	—	2	8	no	—
138	#10625324	—	4	4	no	—
139	#10625324	C₄⋊C₄	1	8	yes	—
140	#10625324	C₄⋊C₄	1	8	yes	—
141	C₈×D₄₇	—	4	4	no	—
142	C₂³×C₄₇	C₂×#41	1	1	yes	characteristic
143	C₂²×D₄₇	—	4	2	no	—
144	C₂²×D₄₇	C₄×D₄	1	2	yes	—
145	C₂²×D₄₇	C₂²⋊Q₈	1	2	yes	—
146	C₂²×D₄₇	#125	1	2	yes	—
147	C₂×C₄×C₄₇	—	2	4	no	—
148	C₂×C₄×C₄₇	—	2	2	no	—
149	C₂×C₄×C₄₇	—	2	4	no	—
150	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
151	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
152	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
153	C₂×C₄×C₄₇	C₂²×Q₈	1	1	yes	characteristic
154	C₂×C₄×C₄₇	C₂²×Q₈	1	1	yes	characteristic
155	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
156	C₂×Dic₄₇	—	2	4	no	—
157	C₂×Dic₄₇	—	2	2	no	—
158	C₂×Dic₄₇	—	4	2	no	—
159	C₂×Dic₄₇	C₄×D₄	1	2	yes	—
160	C₂×Dic₄₇	C₂²⋊Q₈	1	2	yes	—
161	C₂×Dic₄₇	#125	1	2	yes	—
162	C₄×D₄₇	—	4	8	no	—
163	C₄×D₄₇	—	8	4	no	—
164	C₄×D₄₇	C₂×C₄⋊C₄	1	4	yes	—
165	C₄×D₄₇	C₄×Q₈	1	4	yes	—
166	C₄×D₄₇	#121	1	4	yes	—
167	C₄×D₄₇	C₄⋊Q₈	1	4	yes	—
168	C₈×C₄₇	—	2	2	no	—
169	C₈×C₄₇	—	4	2	no	—
170	C₈×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
171	C₈×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
172	C₄₇⋊C₈	—	2	2	no	—
173	C₄₇⋊C₈	—	4	2	no	—
174	C₄₇⋊C₈	C₂×C₄⋊C₄	1	4	yes	—
175	#21165	—	47	1	no	maximal, Sylow
176	C₂²×C₄₇	—	2	2	no	—
177	C₂²×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
178	C₂²×C₄₇	C₂×C₂²⋊Q₈	1	1	yes	characteristic
179	C₂²×C₄₇	C₂×#125	1	1	yes	characteristic
180	C₂×D₄₇	—	2	4	no	—
181	C₂×D₄₇	—	4	2	no	—
182	C₂×D₄₇	—	4	2	no	—
183	C₂×D₄₇	#389	1	4	yes	—
184	C₄×C₄₇	—	2	4	no	—
185	C₄×C₄₇	—	4	4	no	—
186	C₄×C₄₇	C₂²×C₄⋊C₄	1	1	yes	characteristic
187	C₄×C₄₇	C₂×C₄×Q₈	1	1	yes	characteristic
188	C₄×C₄₇	C₂×#121	1	1	yes	characteristic
189	C₄×C₄₇	C₂×C₄⋊Q₈	1	1	yes	characteristic
190	Dic₄₇	—	4	2	no	—
191	Dic₄₇	—	4	4	no	—
192	Dic₄₇	#389	1	4	yes	—
193	C₂×#430	—	47	1	no	—
194	#2911	—	47	1	no	—
195	#2905	—	47	2	no	—
196	C₂×C₄×M₁₆	—	47	1	no	—
197	#1946	—	47	1	no	—
198	#1946	—	47	1	no	—
199	#1946	—	47	2	no	—
200	#1945	—	47	1	no	—
201	#1945	—	47	2	no	—
202	#1945	D₄₇	1	1	yes	characteristic, complemented
203	C₂×#339	—	47	2	no	—
204	C₂×C₄₇	—	2	1	no	—
205	C₂×C₄₇	—	2	1	no	—
206	C₂×C₄₇	C₂×#389	1	1	yes	characteristic
207	C₂×C₄₇	#2956	1	2	yes	—
208	D₄₇	—	2	4	no	—
209	C₂²×M₁₆	—	47	1	no	—
210	C₂²×M₁₆	—	47	1	no	—
211	C₂²×M₁₆	—	47	2	no	—
212	C₂×#117	—	47	2	no	—
213	C₂²×C₄²	—	47	1	no	—
214	#430	—	94	4	no	—
215	C₂×#108	—	47	2	no	—
216	C₂×#108	—	47	1	no	—
217	C₂×#108	C₂×D₄₇	1	1	yes	characteristic
218	#428	—	47	4	no	—
219	#428	—	47	4	no	—
220	#427	—	47	1	no	—
221	#427	—	47	2	no	—
222	#427	C₂×D₄₇	1	1	yes	characteristic
223	#424	—	47	2	no	—
224	#424	—	47	2	no	—
225	#424	—	47	2	no	—
226	#424	—	94	4	no	—
227	#424	C₂×D₄₇	1	2	yes	—
228	#423	—	94	4	no	—
229	C₄×M₁₆	—	94	4	no	—
230	C₂×#97	—	47	1	no	—
231	C₂×#97	—	47	1	no	—
232	C₂×C₄×C₈	—	47	1	no	—
233	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
234	#339	—	47	2	no	—
235	#339	—	47	2	no	—
236	#339	—	47	2	no	—
237	#339	C₂×D₄₇	1	2	yes	—
238	C₄₇	#21165	1	1	yes	characteristic, complemented, Sylow
239	C₂³×C₄	—	47	1	no	—
240	C₂³×C₄	—	94	1	no	—
241	C₂×M₁₆	—	47	2	no	—
242	C₂×M₁₆	—	47	2	no	—
243	C₂×M₁₆	—	47	4	no	—
244	C₂×M₁₆	—	47	4	no	—
245	C₂×M₁₆	—	47	4	no	—
246	C₂×M₁₆	—	47	2	no	—
247	C₂×M₁₆	—	94	2	no	—
248	C₂×M₁₆	—	94	2	no	—
249	C₂×M₁₆	—	94	2	no	—
250	C₂×M₁₆	—	94	4	no	—
251	C₂×M₁₆	—	94	4	no	—
252	C₂×M₁₆	C₂²×D₄₇	1	2	yes	—
253	C₂²×C₈	—	47	1	no	—
254	C₂²×C₈	—	47	1	no	—
255	C₂²×C₈	—	94	2	no	—
256	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
257	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
258	#117	—	47	2	no	—
259	#117	—	47	4	no	—
260	#117	—	94	2	no	—
261	#117	—	94	2	no	—
262	#117	C₂²×D₄₇	1	2	yes	—
263	C₂×C₄⋊C₄	—	47	4	no	—
264	C₂×C₂²⋊C₄	—	94	2	no	—
265	C₂×C₄²	—	47	1	no	—
266	C₂×C₄²	—	47	4	no	—
267	C₂×C₄²	—	94	2	no	—
268	C₂×C₄²	—	94	2	no	—
269	C₂×C₄²	—	94	1	no	—
270	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
271	#108	—	2	2	no	—
272	#108	—	94	4	no	—
273	#108	—	94	2	no	—
274	#107	—	47	2	no	—
275	#107	—	47	4	no	—
276	#107	C₄×D₄₇	1	2	yes	complemented
277	#106	—	47	2	no	—
278	#106	—	47	4	no	—
279	#106	C₄×D₄₇	1	2	yes	complemented
280	C₄⋊C₈	—	2	4	no	—
281	C₄⋊C₈	—	94	4	no	—
282	C₄⋊C₈	—	94	4	no	—
283	C₄⋊C₈	—	94	4	no	—
284	#97	—	94	2	no	—
285	#97	—	94	2	no	—
286	C₄×C₈	—	2	2	no	—
287	C₄×C₈	—	94	2	no	—
288	C₂⁴	—	47	1	no	—
289	C₂²×C₄	—	2	1	no	—
290	C₂²×C₄	—	47	1	no	—
291	C₂²×C₄	—	47	2	no	—
292	C₂²×C₄	—	47	2	no	—
293	C₂²×C₄	—	47	2	no	—
294	C₂²×C₄	—	47	2	no	—
295	C₂²×C₄	—	47	2	no	—
296	C₂²×C₄	—	47	2	no	—
297	C₂²×C₄	—	94	4	no	—
298	C₂²×C₄	—	94	4	no	—
299	C₂²×C₄	—	94	1	no	—
300	C₂²×C₄	—	188	4	no	—
301	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
302	M₁₆	—	2	2	no	—
303	M₁₆	—	2	2	no	—
304	M₁₆	—	47	8	no	—
305	M₁₆	—	47	8	no	—
306	M₁₆	—	94	8	no	—
307	M₁₆	—	94	2	no	—
308	M₁₆	—	94	2	no	—
309	M₁₆	—	188	4	no	—
310	C₂×C₈	—	2	1	no	—
311	C₂×C₈	—	2	1	no	—
312	C₂×C₈	—	2	2	no	—
313	C₂×C₈	—	47	2	no	—
314	C₂×C₈	—	47	2	no	—
315	C₂×C₈	—	47	2	no	—
316	C₂×C₈	—	47	2	no	—
317	C₂×C₈	—	94	1	no	—
318	C₂×C₈	—	94	1	no	—
319	C₂×C₈	—	94	2	no	—
320	C₂×C₈	—	188	4	no	—
321	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
322	C₂×C₈	C₂×C₄×D₄₇	1	1	yes	characteristic
323	C₂×C₈	D₄×D₄₇	1	2	yes	—
324	C₂×C₈	D₄×D₄₇	1	2	yes	—
325	C₂×C₈	Q₈×D₄₇	1	2	yes	—
326	C₄⋊C₄	—	47	4	no	—
327	C₄⋊C₄	—	94	4	no	—
328	C₄⋊C₄	C₂×C₄×D₄₇	1	4	yes	—
329	C₂²⋊C₄	—	2	2	no	—
330	C₂²⋊C₄	—	94	4	no	—
331	C₂²⋊C₄	—	94	2	no	—
332	C₄²	—	2	1	no	—
333	C₄²	—	2	2	no	—
334	C₄²	—	47	2	no	—
335	C₄²	—	94	4	no	—
336	C₄²	—	94	4	no	—
337	C₄²	—	94	1	no	—
338	C₄²	—	94	2	no	—
339	C₄²	Q₈×D₄₇	1	2	yes	—
340	C₂³	—	47	2	no	—
341	C₂³	—	47	2	no	—
342	C₂³	—	47	2	no	—
343	C₂³	—	188	2	no	—
344	C₂³	#41×D₄₇	1	1	yes	characteristic
345	C₂×C₄	—	2	4	no	—
346	C₂×C₄	—	2	2	no	—
347	C₂×C₄	—	2	4	no	—
348	C₂×C₄	—	47	2	no	—
349	C₂×C₄	—	47	2	no	—
350	C₂×C₄	—	47	2	no	—
351	C₂×C₄	—	47	4	no	—
352	C₂×C₄	—	47	4	no	—
353	C₂×C₄	—	47	4	no	—
354	C₂×C₄	—	47	4	no	—
355	C₂×C₄	—	94	4	no	—
356	C₂×C₄	—	94	2	no	—
357	C₂×C₄	—	376	4	no	—
358	C₂×C₄	—	188	8	no	—
359	C₂×C₄	—	188	2	no	—
360	C₂×C₄	C₂²×C₄×D₄₇	1	1	yes	characteristic
361	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
362	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
363	C₂×C₄	C₂×Q₈×D₄₇	1	1	yes	characteristic
364	C₂×C₄	C₂×Q₈×D₄₇	1	1	yes	characteristic
365	C₂×C₄	#41×D₄₇	1	1	yes	characteristic
366	C₈	—	2	2	no	—
367	C₈	—	4	2	no	—
368	C₈	—	47	4	no	—
369	C₈	—	94	2	no	—
370	C₈	—	188	2	no	—
371	C₈	C₄⋊C₄×D₄₇	1	2	yes	—
372	C₈	C₄⋊C₄×D₄₇	1	2	yes	—
373	C₂²	—	2	2	no	—
374	C₂²	—	47	4	no	—
375	C₂²	—	94	4	no	—
376	C₂²	—	188	2	no	—
377	C₂²	—	188	2	no	—
378	C₂²	C₄×D₄×D₄₇	1	1	yes	characteristic
379	C₂²	C₂²⋊Q₈×D₄₇	1	1	yes	characteristic
380	C₂²	#125×D₄₇	1	1	yes	characteristic
381	C₄	—	2	4	no	—
382	C₄	—	4	4	no	—
383	C₄	—	47	4	no	—
384	C₄	—	188	2	no	—
385	C₄	—	188	4	no	—
386	C₄	C₂×C₄⋊C₄×D₄₇	1	1	yes	characteristic
387	C₄	C₄×Q₈×D₄₇	1	1	yes	characteristic
388	C₄	#121×D₄₇	1	1	yes	characteristic
389	C₄	C₄⋊Q₈×D₄₇	1	1	yes	characteristic
390	C₂	—	2	1	no	—
391	C₂	—	2	1	no	—
392	C₂	—	94	4	no	—
393	C₂	#389×D₄₇	1	1	yes	characteristic
394	C₂	#20252293	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₇
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₄₇×#1945	C₂
socle	C₂²×C₄₇	C₂×C₄×D₄
prime radical	C₂³×D₄₇	#41
cosocle	C₂²×C₄×C₄₇	C₂⁴
hypercenter	#1945	D₄₇
hypocenter	C₄₇	#21165
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×C₈ ◁ #1945

Complements

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

N	H ≅ G/N	type
5. #20244142	C₂	semidirect
6. #20244139	C₂	semidirect
7. #20244138	C₂	semidirect
8. #20244136	C₂	semidirect
9. #20244135	C₂	semidirect
11. C₄₇×#1945	C₂	semidirect
20. #15689164	C₄	semidirect
21. #15689162	C₄	semidirect
70. #13093958	C₂×C₄	semidirect
71. #13093957	C₂×C₄	semidirect
72. #13093956	C₂×C₄	semidirect
73. #13093955	C₂×C₄	semidirect
86. #107×C₄₇	C₂×C₄	semidirect
87. #106×C₄₇	C₂×C₄	semidirect
202. #1945	D₄₇	semidirect
238. C₄₇	#21165	semidirect
276. #107	C₄×D₄₇	semidirect
279. #106	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×#15689170	2
#20251976	2
#20251949	2
C₂×C₄×#10625324	2
#20244142	2
#20244139	2
#20244138	2
#20244136	2
#20244135	2
#339×D₄₇	2
C₄₇×#1945	2
#21165	47