Subgroups — #26369616

Order 12032.

696 conjugacy classes of subgroups.

The subgroup lattice has 388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689558	C₂	1	1	yes	maximal, characteristic
2	#20252241	C₂	1	1	yes	maximal, characteristic, complemented
3	#20245262	C₂	1	2	yes	maximal, complemented
4	#20245250	C₂	1	2	yes	maximal, complemented
5	C₄×#13093967	C₂	1	2	yes	maximal, complemented
6	C₄×#13093965	C₂	1	2	yes	maximal, complemented
7	#20245174	C₂	1	1	yes	maximal, characteristic, complemented
8	#20245095	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#15688923	C₂	1	1	yes	maximal, characteristic, complemented
10	#20244985	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#2951	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×D₃₇₆	C₂²	1	1	yes	characteristic
13	#15689597	—	2	1	no	—
14	#15689558	C₄	1	8	yes	complemented
15	C₂×#13093967	C₂²	1	2	yes	—
16	C₂×#13093965	C₂²	1	2	yes	—
17	C₂×#13093964	C₂²	1	1	yes	characteristic
18	C₂²×C₄₇⋊C₁₆	C₂²	1	1	yes	characteristic
19	#15689236	—	2	2	no	—
20	C₄×D₃₇₆	C₂²	1	2	yes	—
21	C₄×D₃₇₆	C₂²	1	2	yes	—
22	#15689161	C₂²	1	1	yes	characteristic
23	#15689129	—	2	1	no	—
24	#15688950	C₂²	1	2	yes	complemented
25	#15688948	C₂²	1	2	yes	complemented
26	#15688927	C₂²	1	1	yes	characteristic, complemented
27	#15688927	C₂²	1	1	yes	characteristic, complemented
28	#15688924	C₂²	1	1	yes	characteristic, complemented
29	#15688924	C₂²	1	1	yes	characteristic, complemented
30	#15688923	C₂²	1	2	yes	—
31	#15688923	C₂²	1	2	yes	—
32	#15688899	C₂²	1	2	yes	complemented
33	C₄×C₄₇⋊C₁₆	C₂²	1	2	yes	complemented
34	C₂×#135×C₄₇	C₂²	1	1	yes	characteristic
35	C₄₇×#520	—	2	1	no	—
36	C₄₇×#440	—	2	2	no	—
37	C₄×Q₁₆×C₄₇	C₂²	1	2	yes	complemented
38	C₄×D₈×C₄₇	C₂²	1	2	yes	complemented
39	C₂×#107×C₄₇	C₂²	1	1	yes	characteristic
40	C₄₇×#417	—	2	1	no	—
41	C₄₇×#405	C₂²	1	1	yes	characteristic
42	C₂²×D₁₈₈	—	2	1	no	—
43	C₂×D₃₇₆	—	2	1	no	—
44	C₂×D₃₇₆	—	2	2	no	—
45	C₂×D₃₇₆	C₂×C₄	1	4	yes	complemented
46	C₂×D₃₇₆	C₂³	1	2	yes	—
47	C₄×D₁₈₈	—	2	2	no	—
48	C₄×D₁₈₈	—	2	2	no	—
49	#13093986	—	4	1	no	—
50	#13093986	—	4	1	no	—
51	#13093983	—	2	1	no	—
52	C₂²⋊C₄×D₄₇	—	4	2	no	—
53	#13093967	C₂×C₄	1	8	yes	complemented
54	#13093965	C₂×C₄	1	8	yes	complemented
55	#13093964	C₂×C₄	1	4	yes	complemented
56	C₂×C₄₇⋊C₁₆	—	2	2	no	—
57	C₂×C₄₇⋊C₁₆	C₂³	1	1	yes	characteristic
58	C₂×C₄₇⋊C₁₆	C₂³	1	1	yes	characteristic
59	C₂×C₄₇⋊C₁₆	C₂³	1	2	yes	—
60	#13093958	C₂³	1	1	yes	characteristic
61	#13093958	C₂³	1	1	yes	characteristic
62	#13093956	—	2	1	no	—
63	#13093946	—	2	2	no	—
64	#13093946	—	2	2	no	—
65	C₂×#41×C₄₇	—	2	1	no	—
66	#135×C₄₇	—	2	2	no	—
67	#135×C₄₇	C₂×C₄	1	4	yes	complemented
68	C₂×Q₁₆×C₄₇	C₂³	1	1	yes	characteristic
69	C₂×SD₁₆×C₄₇	—	2	1	no	—
70	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
71	C₂×M₁₆×C₄₇	D₄	1	1	yes	characteristic
72	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
73	C₄×Q₈×C₄₇	—	2	2	no	—
74	C₄×D₄×C₄₇	—	2	2	no	—
75	C₄×D₄×C₄₇	—	4	2	no	—
76	#117×C₄₇	—	4	1	no	—
77	#117×C₄₇	D₄	1	1	yes	characteristic
78	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
79	C₂×C₄⋊C₄×C₄₇	—	4	1	no	—
80	#107×C₄₇	—	2	1	no	—
81	#107×C₄₇	C₂³	1	2	yes	—
82	#103×C₄₇	—	2	2	no	—
83	#102×C₄₇	—	2	2	no	—
84	#97×C₄₇	D₄	1	2	yes	—
85	C₄×C₈×C₄₇	C₂³	1	2	yes	—
86	C₂³×D₄₇	—	4	1	no	—
87	#41×C₄₇	—	2	4	no	—
88	#41×C₄₇	—	4	2	no	—
89	C₂×Q₈×C₄₇	—	2	1	no	—
90	C₂×D₄×C₄₇	—	2	1	no	—
91	C₂×D₄×C₄₇	—	4	1	no	—
92	C₂²×C₄×C₄₇	—	4	1	no	—
93	C₂²×C₄×C₄₇	—	4	1	no	—
94	C₂²×C₄×C₄₇	—	4	2	no	—
95	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
96	C₂×D₁₈₈	—	2	4	no	—
97	C₂×D₁₈₈	—	2	2	no	—
98	C₂×D₁₈₈	—	4	1	no	—
99	C₂×D₁₈₈	—	4	2	no	—
100	C₂×C₄×D₄₇	—	4	2	no	—
101	C₂×C₄×D₄₇	—	4	2	no	—
102	Q₁₆×C₄₇	—	2	1	no	—
103	Q₁₆×C₄₇	C₂²×C₄	1	2	yes	—
104	SD₁₆×C₄₇	—	2	4	no	—
105	D₈×C₄₇	—	2	1	no	—
106	D₈×C₄₇	C₂²×C₄	1	2	yes	—
107	M₁₆×C₄₇	—	2	2	no	—
108	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
109	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
110	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
111	C₂×C₈×C₄₇	#41	1	2	yes	—
112	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
113	C₄⋊C₄×C₄₇	—	2	2	no	—
114	C₄⋊C₄×C₄₇	—	4	1	no	—
115	C₄⋊C₄×C₄₇	—	4	2	no	—
116	C₄⋊C₄×C₄₇	D₈	1	1	yes	characteristic
117	C₄⋊C₄×C₄₇	D₈	1	1	yes	characteristic
118	C₂²⋊C₄×C₄₇	—	4	2	no	—
119	C₂²⋊C₄×C₄₇	D₈	1	2	yes	—
120	C₄²×C₄₇	—	4	2	no	—
121	C₄²×C₄₇	C₂×D₄	1	2	yes	—
122	C₂²⋊Dic₄₇	—	4	1	no	—
123	(C₂×D₄₇)⋊C₄	—	4	2	no	—
124	(C₂×D₄₇)⋊C₄	—	4	2	no	—
125	C₄⋊Dic₄₇	—	2	1	no	—
126	C₄⋊Dic₄₇	—	2	1	no	—
127	C₄×Dic₄₇	—	4	1	no	—
128	D₃₇₆	—	2	4	no	—
129	D₃₇₆	—	2	2	no	—
130	D₃₇₆	C₂²×C₄	1	4	yes	—
131	C₄₇⋊C₁₆	—	2	1	no	—
132	C₄₇⋊C₁₆	—	2	1	no	—
133	C₄₇⋊C₁₆	C₂²×C₄	1	4	yes	—
134	C₂³×C₄₇	—	4	1	no	—
135	C₂³×C₄₇	C₂×D₈	1	1	yes	characteristic
136	C₂²×D₄₇	—	4	2	no	—
137	C₂²×D₄₇	—	4	4	no	—
138	C₂²×D₄₇	—	16	1	no	—
139	C₂²×D₄₇	—	16	1	no	—
140	Q₈×C₄₇	—	2	2	no	—
141	Q₈×C₄₇	—	4	1	no	—
142	D₄×C₄₇	—	2	2	no	—
143	D₄×C₄₇	—	4	4	no	—
144	D₄×C₄₇	—	4	1	no	—
145	C₂×C₄×C₄₇	—	4	1	no	—
146	C₂×C₄×C₄₇	—	4	4	no	—
147	C₂×C₄×C₄₇	—	4	2	no	—
148	C₂×C₄×C₄₇	—	16	2	no	—
149	C₂×C₄×C₄₇	—	16	1	no	—
150	C₂×C₄×C₄₇	C₄×D₄	1	2	yes	—
151	C₂×C₄×C₄₇	C₂×D₈	1	2	yes	—
152	C₂×C₄×C₄₇	C₂×D₈	1	2	yes	—
153	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
154	C₂×C₄×C₄₇	#135	1	2	yes	—
155	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
156	C₂×Dic₄₇	—	4	1	no	—
157	C₂×Dic₄₇	—	4	1	no	—
158	D₁₈₈	—	2	4	no	—
159	D₁₈₈	—	4	2	no	—
160	D₁₈₈	—	4	4	no	—
161	C₄×D₄₇	—	16	2	no	—
162	C₄×D₄₇	—	16	2	no	—
163	C₈×C₄₇	—	2	2	no	—
164	C₈×C₄₇	C₄×D₄	1	2	yes	—
165	C₈×C₄₇	C₂³×C₄	1	1	yes	characteristic
166	C₈×C₄₇	C₂×#41	1	1	yes	characteristic
167	#33454	—	47	1	no	maximal, Sylow
168	C₂²×C₄₇	—	2	1	no	—
169	C₂²×C₄₇	—	2	1	no	—
170	C₂²×C₄₇	—	4	2	no	—
171	C₂²×C₄₇	—	8	1	no	—
172	C₂²×C₄₇	—	8	1	no	—
173	C₂²×C₄₇	C₄×D₈	1	2	yes	—
174	C₂²×C₄₇	C₂²×D₈	1	1	yes	characteristic
175	C₂×D₄₇	—	4	4	no	—
176	C₂×D₄₇	—	8	2	no	—
177	C₂×D₄₇	—	8	2	no	—
178	C₂×D₄₇	—	16	4	no	—
179	C₄×C₄₇	—	2	2	no	—
180	C₄×C₄₇	—	2	2	no	—
181	C₄×C₄₇	—	4	2	no	—
182	C₄×C₄₇	—	8	2	no	—
183	C₄×C₄₇	C₄×D₈	1	2	yes	—
184	C₄×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
185	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
186	Dic₄₇	—	8	1	no	—
187	Dic₄₇	—	8	1	no	—
188	C₂×#509	—	47	1	no	—
189	#2951	D₄₇	1	1	yes	characteristic, complemented
190	#2948	—	47	1	no	—
191	#2177	—	47	2	no	—
192	#2175	—	47	2	no	—
193	C₄×SD₃₂	—	47	2	no	—
194	C₄×D₁₆	—	47	2	no	—
195	#2159	—	47	1	no	—
196	#2138	—	47	1	no	—
197	C₂×#357	—	47	1	no	—
198	#2108	—	47	1	no	—
199	C₂×C₄₇	—	2	2	no	—
200	C₂×C₄₇	—	8	2	no	—
201	C₂×C₄₇	C₂×C₄×D₈	1	1	yes	characteristic
202	C₂×C₄₇	#3415	1	1	yes	characteristic
203	C₂×C₄₇	#3416	1	1	yes	characteristic
204	D₄₇	—	8	4	no	—
205	C₂×#135	C₂×D₄₇	1	1	yes	characteristic
206	C₂²×D₈	—	47	1	no	—
207	#520	—	2	1	no	—
208	#518	—	94	1	no	—
209	#509	—	47	8	no	—
210	C₂×SD₃₂	—	47	2	no	—
211	C₂×D₁₆	—	47	2	no	—
212	C₂×M₃₂	—	47	1	no	—
213	C₂²×C₁₆	—	47	1	no	—
214	#442	—	94	2	no	—
215	#440	—	2	2	no	—
216	C₄×Q₁₆	C₂×D₄₇	1	2	yes	complemented
217	C₄×D₈	—	47	2	no	—
218	C₄×D₈	—	47	2	no	—
219	C₄×D₈	C₂×D₄₇	1	2	yes	complemented
220	#427	—	47	1	no	—
221	C₂×#107	C₂×D₄₇	1	1	yes	characteristic
222	#418	—	94	1	no	—
223	#417	—	2	1	no	—
224	#405	C₂×D₄₇	1	1	yes	characteristic
225	#367	—	47	2	no	—
226	#366	—	47	2	no	—
227	#358	—	47	1	no	—
228	#358	—	47	1	no	—
229	#357	—	47	1	no	—
230	#357	—	47	1	no	—
231	#357	—	47	2	no	—
232	#357	—	47	2	no	—
233	#346	—	47	2	no	—
234	C₄×C₁₆	—	47	2	no	—
235	C₄₇	#33454	1	1	yes	characteristic, complemented, Sylow
236	C₂×#41	—	2	1	no	—
237	C₂²×D₄	—	94	1	no	—
238	#135	—	2	2	no	—
239	#135	C₄×D₄₇	1	4	yes	complemented
240	C₂×Q₁₆	C₂²×D₄₇	1	1	yes	characteristic
241	C₂×SD₁₆	—	2	1	no	—
242	C₂×D₈	—	47	4	no	—
243	C₂×D₈	—	47	2	no	—
244	C₂×D₈	—	94	2	no	—
245	C₂×D₈	—	94	1	no	—
246	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
247	C₂×M₁₆	C₂²⋊D₄₇	1	1	yes	characteristic
248	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
249	C₄×Q₈	—	2	2	no	—
250	C₄×D₄	—	2	2	no	—
251	C₄×D₄	—	4	2	no	—
252	C₄×D₄	—	94	2	no	—
253	C₄×D₄	—	94	2	no	—
254	C₄×D₄	—	188	1	no	—
255	C₄×D₄	—	188	1	no	—
256	#117	—	4	1	no	—
257	#117	—	94	1	no	—
258	#117	C₂²⋊D₄₇	1	1	yes	characteristic
259	C₂×C₄⋊C₄	—	2	1	no	—
260	C₂×C₄⋊C₄	—	4	1	no	—
261	C₂×C₂²⋊C₄	—	188	2	no	—
262	SD₃₂	—	47	8	no	—
263	D₁₆	—	47	8	no	—
264	M₃₂	—	47	4	no	—
265	C₂×C₁₆	—	47	2	no	—
266	C₂×C₁₆	—	47	1	no	—
267	C₂×C₁₆	—	47	1	no	—
268	C₂×C₁₆	—	94	2	no	—
269	#107	—	2	1	no	—
270	#107	—	47	1	no	—
271	#107	—	47	1	no	—
272	#107	C₂²×D₄₇	1	2	yes	—
273	#106	—	94	1	no	—
274	#103	—	2	2	no	—
275	#102	—	2	2	no	—
276	#102	—	94	2	no	—
277	#102	—	94	2	no	—
278	#97	C₂²⋊D₄₇	1	2	yes	—
279	C₄×C₈	C₂²×D₄₇	1	2	yes	—
280	C₂⁴	—	188	1	no	—
281	#41	—	2	4	no	—
282	#41	—	4	2	no	—
283	C₂×Q₈	—	2	1	no	—
284	C₂×D₄	—	2	1	no	—
285	C₂×D₄	—	4	1	no	—
286	C₂×D₄	—	94	4	no	—
287	C₂×D₄	—	94	2	no	—
288	C₂×D₄	—	188	1	no	—
289	C₂×D₄	—	188	2	no	—
290	C₂²×C₄	—	4	1	no	—
291	C₂²×C₄	—	4	1	no	—
292	C₂²×C₄	—	4	2	no	—
293	C₂²×C₄	—	188	2	no	—
294	C₂²×C₄	—	188	2	no	—
295	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
296	Q₁₆	—	2	1	no	—
297	Q₁₆	C₂×C₄×D₄₇	1	2	yes	—
298	SD₁₆	—	2	4	no	—
299	D₈	—	2	1	no	—
300	D₈	—	47	4	no	—
301	D₈	—	94	4	no	—
302	D₈	—	94	2	no	—
303	D₈	C₂×C₄×D₄₇	1	2	yes	—
304	M₁₆	—	2	2	no	—
305	C₂×C₈	C₂×C₄×D₄₇	1	2	yes	—
306	C₂×C₈	#10625350	1	2	yes	—
307	C₂×C₈	C₂×C₂²⋊D₄₇	1	2	yes	—
308	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
309	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
310	C₄⋊C₄	—	2	2	no	—
311	C₄⋊C₄	—	4	1	no	—
312	C₄⋊C₄	—	4	2	no	—
313	C₄⋊C₄	—	94	1	no	—
314	C₄⋊C₄	—	94	1	no	—
315	C₄⋊C₄	#10625334	1	1	yes	characteristic
316	C₄⋊C₄	#10625334	1	1	yes	characteristic
317	C₂²⋊C₄	—	4	2	no	—
318	C₂²⋊C₄	—	188	1	no	—
319	C₂²⋊C₄	—	188	2	no	—
320	C₂²⋊C₄	—	188	2	no	—
321	C₂²⋊C₄	#10625334	1	2	yes	—
322	C₄²	—	4	2	no	—
323	C₄²	—	188	1	no	—
324	C₄²	C₂×C₂²⋊D₄₇	1	2	yes	—
325	C₁₆	—	47	4	no	—
326	C₁₆	—	94	1	no	—
327	C₁₆	—	94	1	no	—
328	C₂³	—	4	1	no	—
329	C₂³	—	188	2	no	—
330	C₂³	—	188	4	no	—
331	C₂³	—	752	1	no	—
332	C₂³	—	752	1	no	—
333	C₂³	C₂×#10625334	1	1	yes	characteristic
334	Q₈	—	2	2	no	—
335	Q₈	—	4	1	no	—
336	D₄	—	2	2	no	—
337	D₄	—	4	4	no	—
338	D₄	—	4	1	no	—
339	D₄	—	94	4	no	—
340	D₄	—	188	2	no	—
341	D₄	—	188	4	no	—
342	C₂×C₄	—	4	1	no	—
343	C₂×C₄	—	4	4	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	16	2	no	—
346	C₂×C₄	—	16	1	no	—
347	C₂×C₄	—	188	1	no	—
348	C₂×C₄	—	188	1	no	—
349	C₂×C₄	—	752	2	no	—
350	C₂×C₄	—	752	2	no	—
351	C₂×C₄	C₄×C₂²⋊D₄₇	1	2	yes	—
352	C₂×C₄	C₂×#10625334	1	2	yes	—
353	C₂×C₄	C₂×#10625334	1	2	yes	—
354	C₂×C₄	C₂×#10625334	1	1	yes	characteristic
355	C₂×C₄	#13094044	1	2	yes	—
356	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
357	C₈	—	2	2	no	—
358	C₈	C₄×C₂²⋊D₄₇	1	2	yes	—
359	C₈	C₂²×C₄×D₄₇	1	1	yes	characteristic
360	C₈	C₂×#10625350	1	1	yes	characteristic
361	C₂²	—	2	1	no	—
362	C₂²	—	2	1	no	—
363	C₂²	—	4	2	no	—
364	C₂²	—	8	1	no	—
365	C₂²	—	8	1	no	—
366	C₂²	—	376	2	no	—
367	C₂²	—	376	2	no	—
368	C₂²	—	188	4	no	—
369	C₂²	—	752	4	no	—
370	C₂²	C₄×#10625334	1	2	yes	—
371	C₂²	C₂²×#10625334	1	1	yes	characteristic
372	C₄	—	2	2	no	—
373	C₄	—	2	2	no	—
374	C₄	—	4	2	no	—
375	C₄	—	8	2	no	—
376	C₄	—	376	1	no	—
377	C₄	—	376	1	no	—
378	C₄	C₄×#10625334	1	2	yes	—
379	C₄	C₂×C₄×C₂²⋊D₄₇	1	1	yes	characteristic
380	C₄	C₂×#13094044	1	1	yes	characteristic
381	C₂	—	2	2	no	—
382	C₂	—	8	2	no	—
383	C₂	—	376	4	no	—
384	C₂	C₂×C₄×#10625334	1	1	yes	characteristic
385	C₂	#20256527	1	1	yes	characteristic
386	C₂	#20256532	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×#10625334
commutator	C₈×C₄₇	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₄₇
Fitting	C₄₇×#2951	C₂
socle	C₂²×C₄₇	C₂²×D₈
prime radical	C₂×#15689558	C₂
cosocle	C₂×C₈×C₄₇	C₂⁴
hypercenter	#2951	D₄₇
hypocenter	C₄₇	#33454
LCS	G ▷ C₈×C₄₇ ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #405 ◁ #2951

Complements

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

N	H ≅ G/N	type
2. #20252241	C₂	semidirect
3. #20245262	C₂	semidirect
4. #20245250	C₂	semidirect
5. C₄×#13093967	C₂	semidirect
6. C₄×#13093965	C₂	semidirect
7. #20245174	C₂	semidirect
8. #20245095	C₂	semidirect
9. C₂×#15688923	C₂	semidirect
10. #20244985	C₂	semidirect
11. C₄₇×#2951	C₂	semidirect
14. #15689558	C₄	semidirect
24. #15688950	C₂²	semidirect
25. #15688948	C₂²	semidirect
26. #15688927	C₂²	semidirect
27. #15688927	C₂²	semidirect
28. #15688924	C₂²	semidirect
29. #15688924	C₂²	semidirect
32. #15688899	C₂²	semidirect
33. C₄×C₄₇⋊C₁₆	C₂²	semidirect
37. C₄×Q₁₆×C₄₇	C₂²	semidirect
38. C₄×D₈×C₄₇	C₂²	semidirect
45. C₂×D₃₇₆	C₂×C₄	semidirect
53. #13093967	C₂×C₄	semidirect
54. #13093965	C₂×C₄	semidirect
55. #13093964	C₂×C₄	semidirect
67. #135×C₄₇	C₂×C₄	semidirect
189. #2951	D₄₇	semidirect
216. C₄×Q₁₆	C₂×D₄₇	semidirect
219. C₄×D₈	C₂×D₄₇	semidirect
235. C₄₇	#33454	semidirect
239. #135	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×#15689558	2
#20252241	2
#20245262	2
#20245250	2
C₄×#13093967	2
C₄×#13093965	2
#20245174	2
#20245095	2
C₂×#15688923	2
#20244985	2
C₄₇×#2951	2
#33454	47