Subgroups — #26201443

Order 12032.

708 conjugacy classes of subgroups.

The subgroup lattice has 404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689400	C₂	1	1	yes	maximal, characteristic, complemented
2	#20252848	C₂	1	1	yes	maximal, characteristic
3	#20252411	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242808	C₂	1	4	yes	maximal, complemented
5	#20242726	C₂	1	4	yes	maximal, complemented
6	#20242159	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242073	C₂	1	1	yes	maximal, characteristic, complemented
8	#20242037	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₇×#3206	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#13094049	—	2	1	no	—
11	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
12	#15689400	—	2	2	no	—
13	#15689400	C₂²	1	4	yes	—
14	#15689335	—	2	2	no	—
15	#15689325	C₂²	1	2	yes	—
16	#15689315	C₂²	1	2	yes	—
17	C₈×D₁₈₈	C₂²	1	4	yes	—
18	#15689188	—	2	2	no	—
19	#15689176	C₂²	1	1	yes	characteristic
20	C₂×#13093957	—	2	1	no	—
21	#15689147	C₂²	1	1	yes	characteristic
22	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
23	#15689124	—	2	1	no	—
24	C₂×#13093944	—	2	1	no	—
25	C₂²⋊C₈×D₄₇	—	2	2	no	—
26	#15688874	C₂²	1	4	yes	complemented
27	#15688869	C₂²	1	4	yes	complemented
28	#15688869	C₂²	1	2	yes	complemented
29	#15688867	C₂²	1	2	yes	complemented
30	C₄₇×#532	C₂²	1	1	yes	characteristic
31	C₂×C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
32	C₄₇×#492	C₂²	1	2	yes	complemented
33	C₄₇×#487	C₂²	1	2	yes	complemented
34	C₄₇×#461	—	2	2	no	—
35	C₄₇×#448	—	2	2	no	—
36	C₄₇×#431	C₂²	1	1	yes	characteristic
37	C₂²×D₁₈₈	D₄	1	1	yes	characteristic
38	C₂²×C₄×D₄₇	—	2	1	no	—
39	#13094049	—	4	4	no	—
40	C₂×#10625336	—	2	2	no	—
41	C₂×#10625334	—	2	2	no	—
42	C₂×#10625329	—	2	1	no	—
43	C₂²×C₄₇⋊C₈	—	2	1	no	—
44	C₂×C₈×D₄₇	—	2	4	no	—
45	C₄×D₁₈₈	—	2	1	no	—
46	C₄×D₁₈₈	—	2	1	no	—
47	C₄×D₁₈₈	D₄	1	2	yes	—
48	C₄×D₁₈₈	C₂³	1	2	yes	—
49	C₂×C₄⋊Dic₄₇	D₄	1	1	yes	characteristic
50	C₂×(C₂×D₄₇)⋊C₄	—	2	1	no	—
51	#13093957	—	2	4	no	—
52	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
53	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
54	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
55	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
56	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
57	#13093948	—	2	2	no	—
58	#13093945	—	2	2	no	—
59	#13093944	—	2	4	no	—
60	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
61	(C₂×D₄₇)⋊C₈	—	2	4	no	—
62	C₄×C₄₇⋊C₈	—	2	1	no	—
63	C₂×#41×C₄₇	—	2	1	no	—
64	C₂²×Q₈×C₄₇	—	2	1	no	—
65	C₂×SD₁₆×C₄₇	—	2	4	no	—
66	C₄⋊Q₈×C₄₇	—	2	1	no	—
67	C₄⋊Q₈×C₄₇	—	2	1	no	—
68	C₄⋊Q₈×C₄₇	—	2	1	no	—
69	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
70	C₄⋊Q₈×C₄₇	C₂³	1	2	yes	—
71	#127×C₄₇	C₂³	1	1	yes	characteristic
72	#124×C₄₇	—	2	1	no	—
73	#121×C₄₇	—	2	1	no	—
74	#121×C₄₇	—	2	1	no	—
75	C₄×D₄×C₄₇	—	2	1	no	—
76	C₄×D₄×C₄₇	—	2	1	no	—
77	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
78	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
79	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
80	C₄⋊C₈×C₄₇	D₄	1	2	yes	—
81	#103×C₄₇	—	2	4	no	—
82	C₂²⋊C₈×C₄₇	D₄	1	2	yes	—
83	C₄×C₈×C₄₇	C₂³	1	2	yes	—
84	C₂³×D₄₇	—	2	1	no	—
85	#41×C₄₇	—	4	2	no	—
86	#41×C₄₇	—	4	2	no	—
87	C₂×Q₈×C₄₇	—	2	2	no	—
88	C₂×Q₈×C₄₇	—	2	1	no	—
89	C₂×Q₈×C₄₇	—	4	1	no	—
90	C₂×Q₈×C₄₇	—	8	2	no	—
91	C₂×D₄×C₄₇	—	2	1	no	—
92	C₂×D₄×C₄₇	—	2	1	no	—
93	C₂×D₄×C₄₇	—	2	1	no	—
94	C₂×D₄×C₄₇	—	4	1	no	—
95	C₂²×C₄×C₄₇	—	4	1	no	—
96	C₂²×C₄×C₄₇	—	4	1	no	—
97	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
99	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
100	C₂²×Dic₄₇	—	2	1	no	—
101	C₂×D₁₈₈	—	2	1	no	—
102	C₂×D₁₈₈	—	2	2	no	—
103	C₂×D₁₈₈	SD₁₆	1	4	yes	complemented
104	C₂×D₁₈₈	C₂×D₄	1	2	yes	—
105	C₂×C₄×D₄₇	—	2	2	no	—
106	C₂×C₄×D₄₇	—	2	2	no	—
107	C₂×C₄×D₄₇	—	8	2	no	—
108	SD₁₆×C₄₇	—	8	4	no	—
109	C₂×C₈×C₄₇	C₂×D₄	1	4	yes	—
110	C₄⋊C₄×C₄₇	—	2	1	no	—
111	C₄⋊C₄×C₄₇	—	2	2	no	—
112	C₄⋊C₄×C₄₇	—	2	2	no	—
113	C₄⋊C₄×C₄₇	—	2	1	no	—
114	C₄⋊C₄×C₄₇	—	4	1	no	—
115	C₄⋊C₄×C₄₇	—	4	1	no	—
116	C₂²⋊C₄×C₄₇	—	4	1	no	—
117	C₂²⋊C₄×C₄₇	—	4	1	no	—
118	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
119	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
120	C₄²×C₄₇	#41	1	1	yes	characteristic
121	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
122	#10625336	—	4	4	no	—
123	#10625334	—	4	4	no	—
124	(C₂×D₄₇)⋊C₄	—	2	2	no	—
125	(C₂×D₄₇)⋊C₄	—	2	2	no	—
126	C₄⋊Dic₄₇	—	2	1	no	—
127	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
128	#10625329	—	4	2	no	—
129	C₂×C₄₇⋊C₈	—	2	2	no	—
130	C₂×C₄₇⋊C₈	—	2	2	no	—
131	C₂×C₄₇⋊C₈	—	2	2	no	—
132	C₂×C₄₇⋊C₈	—	4	2	no	—
133	C₈×D₄₇	—	8	4	no	—
134	C₂³×C₄₇	—	4	1	no	—
135	C₂³×C₄₇	#121	1	1	yes	characteristic
136	C₂²×D₄₇	—	2	2	no	—
137	C₂²×D₄₇	—	2	4	no	—
138	C₂²×D₄₇	—	8	1	no	—
139	C₂²×D₄₇	—	8	1	no	—
140	Q₈×C₄₇	—	4	1	no	—
141	Q₈×C₄₇	—	4	1	no	—
142	Q₈×C₄₇	—	4	4	no	—
143	Q₈×C₄₇	—	8	2	no	—
144	D₄×C₄₇	—	4	1	no	—
145	D₄×C₄₇	—	4	1	no	—
146	D₄×C₄₇	—	4	2	no	—
147	D₄×C₄₇	—	8	1	no	—
148	D₄×C₄₇	—	8	2	no	—
149	C₂×C₄×C₄₇	—	2	2	no	—
150	C₂×C₄×C₄₇	—	4	1	no	—
151	C₂×C₄×C₄₇	—	4	1	no	—
152	C₂×C₄×C₄₇	—	4	2	no	—
153	C₂×C₄×C₄₇	—	8	2	no	—
154	C₂×C₄×C₄₇	—	8	2	no	—
155	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
156	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
157	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
158	C₂×C₄×C₄₇	C₂×SD₁₆	1	2	yes	—
159	C₂×C₄×C₄₇	#135	1	2	yes	—
160	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
161	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
162	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
163	C₂×Dic₄₇	—	2	2	no	—
164	C₂×Dic₄₇	—	8	1	no	—
165	D₁₈₈	—	2	2	no	—
166	D₁₈₈	—	2	4	no	—
167	D₁₈₈	C₂×SD₁₆	1	4	yes	—
168	C₄×D₄₇	—	4	4	no	—
169	C₄×D₄₇	—	8	2	no	—
170	C₈×C₄₇	—	2	4	no	—
171	C₄₇⋊C₈	—	4	2	no	—
172	C₄₇⋊C₈	—	4	2	no	—
173	C₄₇⋊C₈	—	4	2	no	—
174	#19385	—	47	1	no	maximal, Sylow
175	C₂²×C₄₇	—	2	1	no	—
176	C₂²×C₄₇	—	2	1	no	—
177	C₂²×C₄₇	—	8	1	no	—
178	C₂²×C₄₇	—	8	1	no	—
179	C₂²×C₄₇	—	8	1	no	—
180	C₂²×C₄₇	#465	1	2	yes	—
181	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
182	C₂×D₄₇	—	2	4	no	—
183	C₂×D₄₇	—	4	2	no	—
184	C₂×D₄₇	—	4	2	no	—
185	C₂×D₄₇	—	8	4	no	—
186	C₄×C₄₇	—	2	1	no	—
187	C₄×C₄₇	—	2	1	no	—
188	C₄×C₄₇	—	2	1	no	—
189	C₄×C₄₇	—	8	2	no	—
190	C₄×C₄₇	—	8	1	no	—
191	C₄×C₄₇	#465	1	2	yes	—
192	C₄×C₄₇	C₂²×SD₁₆	1	1	yes	characteristic
193	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
194	C₄×C₄₇	#576	1	2	yes	—
195	Dic₄₇	—	4	2	no	—
196	#3206	D₄₇	1	1	yes	characteristic, complemented
197	C₂×#474	—	47	1	no	—
198	#3036	—	47	1	no	—
199	#2972	—	47	1	no	—
200	#1679	—	47	4	no	—
201	#1665	—	47	4	no	—
202	#1570	—	47	1	no	—
203	#1549	—	47	1	no	—
204	#1540	—	47	1	no	—
205	C₂×C₄₇	—	2	2	no	—
206	C₂×C₄₇	—	16	1	no	—
207	C₂×C₄₇	#3041	1	1	yes	characteristic
208	C₂×C₄₇	C₂×#465	1	1	yes	characteristic
209	C₂×C₄₇	#3069	1	1	yes	characteristic
210	D₄₇	—	4	4	no	—
211	C₂×AGL(1,ℤ/8)	—	94	1	no	—
212	#532	C₂×D₄₇	1	1	yes	characteristic
213	C₂×C₄⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
214	C₂×C₄×D₄	—	47	1	no	—
215	#492	C₂×D₄₇	1	2	yes	complemented
216	#487	C₂×D₄₇	1	2	yes	complemented
217	#474	—	47	4	no	—
218	#474	—	94	2	no	—
219	#463	—	94	2	no	—
220	#461	—	2	2	no	—
221	#461	—	47	2	no	—
222	#459	—	47	2	no	—
223	#448	—	2	2	no	—
224	C₈×D₄	—	47	4	no	—
225	C₈×D₄	—	94	2	no	—
226	#431	—	47	1	no	—
227	#431	C₂×D₄₇	1	1	yes	characteristic
228	C₂×#107	—	94	1	no	—
229	#423	—	47	1	no	—
230	C₂×C₄⋊C₈	—	47	1	no	—
231	#417	—	94	1	no	—
232	C₂×#102	—	94	1	no	—
233	C₂×C₂²⋊C₈	—	94	2	no	—
234	#334	—	47	4	no	—
235	#332	—	47	2	no	—
236	#332	—	47	4	no	—
237	#331	—	47	2	no	—
238	C₄₇	#19385	1	1	yes	characteristic, complemented, Sylow
239	C₂×#41	—	2	1	no	—
240	C₂²×Q₈	—	2	1	no	—
241	C₂²×D₄	—	47	1	no	—
242	C₂³×C₄	—	94	1	no	—
243	AGL(1,ℤ/8)	—	188	4	no	—
244	C₂×SD₁₆	—	2	4	no	—
245	C₂×SD₁₆	—	94	2	no	—
246	C₂×D₈	—	94	2	no	—
247	C₂×M₁₆	—	94	1	no	—
248	C₂²×C₈	—	94	1	no	—
249	C₂²×C₈	—	94	4	no	—
250	C₄⋊Q₈	—	2	1	no	—
251	C₄⋊Q₈	—	2	1	no	—
252	C₄⋊Q₈	—	2	1	no	—
253	C₄⋊Q₈	C₂²×D₄₇	1	2	yes	—
254	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
255	#127	C₂²×D₄₇	1	1	yes	characteristic
256	#124	—	2	1	no	—
257	#121	—	2	1	no	—
258	#121	—	2	1	no	—
259	C₄×D₄	—	2	1	no	—
260	C₄×D₄	—	2	1	no	—
261	C₄×D₄	—	47	2	no	—
262	C₄×D₄	—	47	2	no	—
263	C₄×D₄	—	94	1	no	—
264	C₄×D₄	—	94	1	no	—
265	C₂×C₄⋊C₄	—	2	1	no	—
266	C₂×C₄⋊C₄	—	2	1	no	—
267	C₂×C₄⋊C₄	—	47	1	no	—
268	C₂×C₂²⋊C₄	—	94	1	no	—
269	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
270	#107	—	94	4	no	—
271	C₄⋊C₈	—	47	2	no	—
272	C₄⋊C₈	—	47	2	no	—
273	C₄⋊C₈	—	47	2	no	—
274	C₄⋊C₈	—	94	1	no	—
275	C₄⋊C₈	—	94	1	no	—
276	C₄⋊C₈	C₂²⋊D₄₇	1	2	yes	—
277	#103	—	2	4	no	—
278	#103	—	94	2	no	—
279	#102	—	94	4	no	—
280	#102	—	94	2	no	—
281	C₂²⋊C₈	—	94	1	no	—
282	C₂²⋊C₈	—	94	4	no	—
283	C₂²⋊C₈	C₂²⋊D₄₇	1	2	yes	—
284	C₄×C₈	—	94	1	no	—
285	C₄×C₈	C₂²×D₄₇	1	2	yes	—
286	C₂⁴	—	94	1	no	—
287	#41	—	4	2	no	—
288	#41	—	4	2	no	—
289	C₂×Q₈	—	2	1	no	—
290	C₂×Q₈	—	2	2	no	—
291	C₂×Q₈	—	4	1	no	—
292	C₂×Q₈	—	8	2	no	—
293	C₂×D₄	—	2	1	no	—
294	C₂×D₄	—	2	1	no	—
295	C₂×D₄	—	2	1	no	—
296	C₂×D₄	—	4	1	no	—
297	C₂×D₄	—	47	4	no	—
298	C₂×D₄	—	47	2	no	—
299	C₂×D₄	—	94	1	no	—
300	C₂×D₄	—	94	2	no	—
301	C₂²×C₄	—	4	1	no	—
302	C₂²×C₄	—	4	1	no	—
303	C₂²×C₄	—	94	1	no	—
304	C₂²×C₄	—	94	2	no	—
305	C₂²×C₄	—	94	2	no	—
306	C₂²×C₄	—	376	2	no	—
307	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
308	C₂²×C₄	#10625352	1	1	yes	characteristic
309	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
310	SD₁₆	—	8	4	no	—
311	SD₁₆	—	188	4	no	—
312	D₈	—	188	4	no	—
313	M₁₆	—	188	2	no	—
314	C₂×C₈	—	94	2	no	—
315	C₂×C₈	—	94	2	no	—
316	C₂×C₈	—	94	2	no	—
317	C₂×C₈	—	376	4	no	—
318	C₂×C₈	—	188	2	no	—
319	C₂×C₈	C₂×C₂²⋊D₄₇	1	4	yes	—
320	C₄⋊C₄	—	2	2	no	—
321	C₄⋊C₄	—	2	1	no	—
322	C₄⋊C₄	—	2	2	no	—
323	C₄⋊C₄	—	2	1	no	—
324	C₄⋊C₄	—	4	1	no	—
325	C₄⋊C₄	—	4	1	no	—
326	C₄⋊C₄	—	47	2	no	—
327	C₄⋊C₄	—	94	1	no	—
328	C₂²⋊C₄	—	4	1	no	—
329	C₂²⋊C₄	—	4	1	no	—
330	C₂²⋊C₄	—	94	2	no	—
331	C₂²⋊C₄	—	94	2	no	—
332	C₄²	D₄×D₄₇	1	1	yes	characteristic
333	C₄²	#10625352	1	1	yes	characteristic
334	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
335	C₄²	C₂³×D₄₇	1	1	yes	characteristic
336	C₂³	—	4	1	no	—
337	C₂³	—	94	4	no	—
338	C₂³	—	94	2	no	—
339	C₂³	—	376	1	no	—
340	C₂³	—	376	1	no	—
341	C₂³	#13093995	1	1	yes	characteristic
342	Q₈	—	4	1	no	—
343	Q₈	—	4	1	no	—
344	Q₈	—	4	4	no	—
345	Q₈	—	8	2	no	—
346	D₄	—	4	1	no	—
347	D₄	—	4	1	no	—
348	D₄	—	4	2	no	—
349	D₄	—	8	1	no	—
350	D₄	—	8	2	no	—
351	D₄	—	47	4	no	—
352	D₄	—	94	4	no	—
353	D₄	—	94	2	no	—
354	C₂×C₄	—	2	2	no	—
355	C₂×C₄	—	4	1	no	—
356	C₂×C₄	—	4	1	no	—
357	C₂×C₄	—	4	2	no	—
358	C₂×C₄	—	8	2	no	—
359	C₂×C₄	—	8	2	no	—
360	C₂×C₄	—	94	2	no	—
361	C₂×C₄	—	376	2	no	—
362	C₂×C₄	—	376	1	no	—
363	C₂×C₄	—	188	4	no	—
364	C₂×C₄	#13093995	1	1	yes	characteristic
365	C₂×C₄	#13093995	1	1	yes	characteristic
366	C₂×C₄	#13093995	1	1	yes	characteristic
367	C₂×C₄	SD₁₆×D₄₇	1	2	yes	—
368	C₂×C₄	#13094045	1	2	yes	—
369	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
370	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
371	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
372	C₈	—	2	4	no	—
373	C₈	—	188	2	no	—
374	C₈	—	188	2	no	—
375	C₈	—	188	2	no	—
376	C₂²	—	2	1	no	—
377	C₂²	—	2	1	no	—
378	C₂²	—	8	1	no	—
379	C₂²	—	8	1	no	—
380	C₂²	—	8	1	no	—
381	C₂²	—	94	4	no	—
382	C₂²	—	376	4	no	—
383	C₂²	—	188	2	no	—
384	C₂²	—	188	2	no	—
385	C₂²	#15689349	1	2	yes	—
386	C₂²	C₂×#13093995	1	1	yes	characteristic
387	C₄	—	2	1	no	—
388	C₄	—	2	1	no	—
389	C₄	—	2	1	no	—
390	C₄	—	8	1	no	—
391	C₄	—	8	2	no	—
392	C₄	—	188	2	no	—
393	C₄	#15689349	1	2	yes	—
394	C₄	C₂×SD₁₆×D₄₇	1	1	yes	characteristic
395	C₄	C₂×#13094045	1	1	yes	characteristic
396	C₄	#15689926	1	2	yes	—
397	C₂	—	2	2	no	—
398	C₂	—	16	1	no	—
399	C₂	—	188	4	no	—
400	C₂	#20252887	1	1	yes	characteristic
401	C₂	C₂×#15689349	1	1	yes	characteristic
402	C₂	#20253121	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13093995
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#3206	C₂
socle	C₂²×C₄₇	C₂×#121
prime radical	#20252848	C₂
hypercenter	#3206	D₄₇
hypocenter	C₄₇	#19385
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3206

Complements

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

N	H ≅ G/N	type
1. C₂×#15689400	C₂	semidirect
3. #20252411	C₂	semidirect
4. #20242808	C₂	semidirect
5. #20242726	C₂	semidirect
6. #20242159	C₂	semidirect
7. #20242073	C₂	semidirect
8. #20242037	C₂	semidirect
9. C₄₇×#3206	C₂	semidirect
26. #15688874	C₂²	semidirect
27. #15688869	C₂²	semidirect
28. #15688869	C₂²	semidirect
29. #15688867	C₂²	semidirect
32. C₄₇×#492	C₂²	semidirect
33. C₄₇×#487	C₂²	semidirect
103. C₂×D₁₈₈	SD₁₆	semidirect
196. #3206	D₄₇	semidirect
215. #492	C₂×D₄₇	semidirect
216. #487	C₂×D₄₇	semidirect
238. C₄₇	#19385	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689400	2
#20252848	2
#20252411	2
#20242808	2
#20242726	2
#20242159	2
#20242073	2
#20242037	2
C₄₇×#3206	2
#19385	47