Subgroups — #30676006

Order 16768.

454 conjugacy classes of subgroups.

The subgroup lattice has 370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22553844	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×D₄×D₁₃₁	C₂	1	1	yes	maximal, characteristic, complemented
3	#22553649	C₂	1	1	yes	maximal, characteristic, complemented
4	#22553629	C₂	1	1	yes	maximal, characteristic, complemented
5	#22553615	C₂	1	1	yes	maximal, characteristic, complemented
6	#22553614	C₂	1	1	yes	maximal, characteristic, complemented
7	#22553526	C₂	1	1	yes	maximal, characteristic, complemented
8	#22553525	C₂	1	1	yes	maximal, characteristic, complemented
9	#22553464	C₂	1	1	yes	maximal, characteristic, complemented
10	#22553444	C₂	1	1	yes	maximal, characteristic
11	C₄×#14523502	C₂	1	1	yes	maximal, characteristic, complemented
12	C₄×#14523501	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄×#14523498	C₂	1	1	yes	maximal, characteristic, complemented
14	#22553363	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×D₈×C₁₃₁	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×D₄×D₁₃₁	C₂²	1	1	yes	characteristic
17	C₂²×C₄×D₁₃₁	—	2	1	no	—
18	C₂×#14523502	C₂²	1	1	yes	characteristic
19	C₂×#14523501	C₂²	1	1	yes	characteristic
20	C₂×#14523498	C₂²	1	1	yes	characteristic
21	#16862239	—	2	1	no	—
22	#16862237	C₂²	1	1	yes	characteristic, complemented
23	#16862233	C₂²	1	1	yes	characteristic, complemented
24	#16862228	—	2	1	no	—
25	#16862226	C₂²	1	1	yes	characteristic
26	#16862217	C₂²	1	1	yes	characteristic
27	C₄×Dic₂₆₂	C₂²	1	1	yes	characteristic, complemented
28	C₄×D₅₂₄	C₂²	1	1	yes	characteristic
29	D₄×Dic₁₃₁	C₂²	1	1	yes	characteristic
30	#16862208	C₂²	1	1	yes	characteristic
31	C₄×C₂²⋊D₁₃₁	—	2	1	no	—
32	C₄×C₂²⋊D₁₃₁	—	2	1	no	—
33	(C₂²⋊D₁₃₁)⋊C₄	—	2	1	no	—
34	#16862205	—	2	1	no	—
35	C₄⋊C₄×D₁₃₁	C₂²	1	1	yes	characteristic
36	C₂²⋊C₄×D₁₃₁	—	2	1	no	—
37	C₄²×D₁₃₁	C₂²	1	1	yes	characteristic
38	#16862179	C₂²	1	1	yes	characteristic, complemented
39	#16862178	C₂²	1	1	yes	characteristic, complemented
40	#16862177	C₂²	1	1	yes	characteristic, complemented
41	Dic₁₃₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
42	Dic₁₃₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
43	#16862171	C₂²	1	1	yes	characteristic, complemented
44	#16862169	C₂²	1	1	yes	characteristic, complemented
45	#16862168	C₂²	1	1	yes	characteristic
46	#16862167	C₂²	1	1	yes	characteristic
47	#16862167	C₂²	1	1	yes	characteristic, complemented
48	#16862166	C₂²	1	1	yes	characteristic
49	(C₂×D₁₃₁)⋊C₈	C₂²	1	1	yes	characteristic
50	(C₂×D₁₃₁)⋊C₈	C₂²	1	1	yes	characteristic
51	C₄×C₁₃₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
52	C₂×D₈×C₁₃₁	C₂²	1	1	yes	characteristic
53	C₄×D₄×C₁₃₁	C₂²	1	1	yes	characteristic
54	C₄×D₄×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
55	#107×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
56	#102×C₁₃₁	C₂²	1	1	yes	characteristic
57	#102×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
58	C₄×C₈×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₁₃₁	—	2	1	no	—
60	C₂×Dic₂₆₂	C₂³	1	1	yes	characteristic
61	C₂×D₅₂₄	C₂³	1	1	yes	characteristic
62	C₂×C₂²⋊D₁₃₁	—	2	1	no	—
63	C₂×C₂²⋊D₁₃₁	—	2	1	no	—
64	D₄×D₁₃₁	—	2	2	no	—
65	D₄×D₁₃₁	—	2	2	no	—
66	C₂²×Dic₁₃₁	—	2	1	no	—
67	C₂×C₄×D₁₃₁	—	2	1	no	—
68	C₂×C₄×D₁₃₁	—	2	1	no	—
69	C₂×C₄×D₁₃₁	—	2	1	no	—
70	C₂×C₄×D₁₃₁	—	4	4	no	—
71	C₂×C₄×D₁₃₁	D₄	1	1	yes	characteristic
72	C₂×C₄×D₁₃₁	D₄	1	1	yes	characteristic
73	C₂×C₄×D₁₃₁	C₂³	1	1	yes	characteristic
74	#14523502	—	2	2	no	—
75	#14523501	—	2	2	no	—
76	#14523498	—	2	2	no	—
77	C₂×C₁₃₁⋊C₈	C₂³	1	1	yes	characteristic
78	C₂×C₁₃₁⋊C₈	C₂³	1	1	yes	characteristic
79	C₄⋊Dic₁₃₁	—	2	1	no	—
80	C₄⋊Dic₁₃₁	—	2	1	no	—
81	C₄⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
82	C₄⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
83	Dic₁₃₁⋊C₄	—	2	1	no	—
84	Dic₁₃₁⋊C₄	—	2	1	no	—
85	Dic₁₃₁⋊C₄	—	2	1	no	—
86	C₂²⋊Dic₁₃₁	—	2	1	no	—
87	C₂²⋊Dic₁₃₁	—	2	1	no	—
88	C₂²⋊Dic₁₃₁	—	2	1	no	—
89	C₂²⋊Dic₁₃₁	—	2	1	no	—
90	(C₂×D₁₃₁)⋊C₄	—	2	1	no	—
91	(C₂×D₁₃₁)⋊C₄	—	2	1	no	—
92	(C₂×D₁₃₁)⋊C₄	—	2	1	no	—
93	C₄×Dic₁₃₁	—	2	1	no	—
94	C₄×Dic₁₃₁	D₄	1	1	yes	characteristic
95	C₄×Dic₁₃₁	D₄	1	1	yes	characteristic
96	C₄×Dic₁₃₁	C₂³	1	1	yes	characteristic
97	C₂×D₄×C₁₃₁	C₂³	1	1	yes	characteristic
98	C₂×D₄×C₁₃₁	C₂³	1	1	yes	characteristic
99	C₂²×C₄×C₁₃₁	—	2	1	no	—
100	C₂²×C₄×C₁₃₁	—	2	1	no	—
101	D₈×C₁₃₁	—	2	2	no	—
102	C₂×C₈×C₁₃₁	C₂³	1	1	yes	characteristic
103	C₂×C₈×C₁₃₁	C₂³	1	1	yes	characteristic
104	C₄⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
105	C₄⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
106	C₂²⋊C₄×C₁₃₁	—	2	1	no	—
107	C₂²⋊C₄×C₁₃₁	—	2	1	no	—
108	C₄²×C₁₃₁	C₂³	1	1	yes	characteristic
109	C₂²×D₁₃₁	—	2	4	no	—
110	C₂²×D₁₃₁	—	2	1	no	—
111	C₂²×D₁₃₁	—	4	2	no	—
112	C₂²×D₁₃₁	—	4	2	no	—
113	C₂²×D₁₃₁	C₂×D₄	1	1	yes	characteristic
114	Dic₂₆₂	—	2	1	no	—
115	Dic₂₆₂	—	2	1	no	—
116	D₅₂₄	—	2	1	no	—
117	D₅₂₄	#41	1	2	yes	—
118	C₂²⋊D₁₃₁	—	2	4	no	—
119	C₂²⋊D₁₃₁	—	4	2	no	—
120	C₂×Dic₁₃₁	—	2	1	no	—
121	C₂×Dic₁₃₁	—	2	1	no	—
122	C₂×Dic₁₃₁	—	2	1	no	—
123	C₂×Dic₁₃₁	—	4	2	no	—
124	C₂×Dic₁₃₁	C₂×D₄	1	1	yes	characteristic
125	C₂×Dic₁₃₁	C₂×D₄	1	1	yes	characteristic
126	C₂×Dic₁₃₁	C₂×D₄	1	1	yes	characteristic
127	C₄×D₁₃₁	—	2	2	no	—
128	C₄×D₁₃₁	—	2	2	no	—
129	C₄×D₁₃₁	—	2	1	no	—
130	C₄×D₁₃₁	—	2	1	no	—
131	C₄×D₁₃₁	—	4	2	no	—
132	C₄×D₁₃₁	—	4	2	no	—
133	C₄×D₁₃₁	—	4	2	no	—
134	C₁₃₁⋊C₈	—	2	1	no	—
135	C₁₃₁⋊C₈	—	2	1	no	—
136	C₂³×C₁₃₁	—	2	1	no	—
137	C₂³×C₁₃₁	—	2	1	no	—
138	D₄×C₁₃₁	—	2	1	no	—
139	D₄×C₁₃₁	—	2	1	no	—
140	D₄×C₁₃₁	—	2	1	no	—
141	D₄×C₁₃₁	#41	1	2	yes	—
142	C₂×C₄×C₁₃₁	—	2	1	no	—
143	C₂×C₄×C₁₃₁	—	2	1	no	—
144	C₂×C₄×C₁₃₁	—	4	2	no	—
145	C₂×C₄×C₁₃₁	—	4	2	no	—
146	C₂×C₄×C₁₃₁	C₂×D₄	1	1	yes	characteristic
147	C₂×C₄×C₁₃₁	C₂×D₄	1	1	yes	characteristic
148	C₂×C₄×C₁₃₁	C₂⁴	1	1	yes	characteristic
149	C₈×C₁₃₁	—	2	1	no	—
150	C₈×C₁₃₁	—	2	1	no	—
151	C₂²×C₁₃₁	—	2	2	no	—
152	C₂²×C₁₃₁	—	4	1	no	—
153	C₂²×C₁₃₁	—	4	1	no	—
154	C₂²×C₁₃₁	—	4	1	no	—
155	C₂²×C₁₃₁	—	4	1	no	—
156	C₂²×C₁₃₁	—	4	1	no	—
157	C₂²×C₁₃₁	C₂²×D₄	1	1	yes	characteristic
158	C₂×D₁₃₁	—	2	1	no	—
159	C₂×D₁₃₁	—	2	1	no	—
160	C₂×D₁₃₁	—	2	2	no	—
161	C₂×D₁₃₁	—	4	8	no	—
162	C₂×D₁₃₁	—	4	1	no	—
163	C₂×D₁₃₁	—	4	1	no	—
164	C₂×D₁₃₁	#135	1	2	yes	—
165	C₄×C₁₃₁	—	2	1	no	—
166	C₄×C₁₃₁	—	4	1	no	—
167	C₄×C₁₃₁	—	4	1	no	—
168	C₄×C₁₃₁	AGL(1,ℤ/8)	1	2	yes	—
169	C₄×C₁₃₁	C₂×#41	1	1	yes	characteristic
170	C₄×C₁₃₁	C₂×#41	1	1	yes	characteristic
171	Dic₁₃₁	—	2	1	no	—
172	Dic₁₃₁	—	2	1	no	—
173	Dic₁₃₁	—	2	1	no	—
174	Dic₁₃₁	—	4	1	no	—
175	Dic₁₃₁	—	4	1	no	—
176	Dic₁₃₁	—	4	1	no	—
177	C₂×C₁₃₁	—	4	2	no	—
178	C₂×C₁₃₁	—	8	1	no	—
179	C₂×C₁₃₁	#525	1	1	yes	characteristic
180	C₂×C₁₃₁	C₂×#135	1	1	yes	characteristic
181	C₂×C₁₃₁	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
182	D₁₃₁	—	2	2	no	—
183	D₁₃₁	—	4	2	no	—
184	C₁₃₁	#3105	1	1	yes	characteristic, complemented, Sylow
185	#3105	—	131	1	no	maximal, Sylow
186	#529	—	131	1	no	—
187	C₂×C₄×D₄	—	131	1	no	—
188	#484	—	131	1	no	—
189	#481	—	131	1	no	—
190	#478	—	131	1	no	—
191	#478	—	131	1	no	—
192	#463	—	131	1	no	—
193	#463	—	131	1	no	—
194	#450	—	131	1	no	—
195	#447	—	131	1	no	—
196	C₄×SD₁₆	—	131	1	no	—
197	C₄×SD₁₆	—	131	1	no	—
198	C₄×D₈	—	131	1	no	—
199	C₄×D₈	D₁₃₁	1	1	yes	characteristic, complemented
200	#431	—	131	1	no	—
201	C₂²×D₄	—	131	1	no	—
202	C₂³×C₄	—	262	1	no	—
203	C₂×SD₁₆	—	131	1	no	—
204	C₂×SD₁₆	—	131	1	no	—
205	C₂×D₈	—	131	1	no	—
206	C₂×D₈	C₂×D₁₃₁	1	1	yes	characteristic
207	#126	—	262	1	no	—
208	#125	—	131	1	no	—
209	#124	—	131	1	no	—
210	#123	—	262	1	no	—
211	C₂²⋊Q₈	—	131	1	no	—
212	#121	—	131	1	no	—
213	C₄×Q₈	—	131	1	no	—
214	C₄×D₄	—	262	1	no	—
215	C₄×D₄	—	262	1	no	—
216	C₄×D₄	—	262	1	no	—
217	C₄×D₄	—	131	1	no	—
218	C₄×D₄	—	131	1	no	—
219	C₄×D₄	—	131	1	no	—
220	C₄×D₄	C₂×D₁₃₁	1	1	yes	characteristic
221	C₄×D₄	C₂×D₁₃₁	1	1	yes	characteristic, complemented
222	#117	—	262	1	no	—
223	C₂×C₄⋊C₄	—	131	1	no	—
224	C₂×C₂²⋊C₄	—	262	1	no	—
225	C₂×C₄²	—	131	1	no	—
226	#107	—	131	1	no	—
227	#107	C₂×D₁₃₁	1	1	yes	characteristic, complemented
228	#106	—	131	1	no	—
229	#106	—	131	1	no	—
230	C₄⋊C₈	—	131	1	no	—
231	C₄⋊C₈	—	131	1	no	—
232	#103	—	131	1	no	—
233	#103	—	131	1	no	—
234	#102	—	131	1	no	—
235	#102	—	131	1	no	—
236	#102	—	131	1	no	—
237	#102	—	131	1	no	—
238	#102	C₂×D₁₃₁	1	1	yes	characteristic
239	#102	C₂×D₁₃₁	1	1	yes	characteristic, complemented
240	C₂²⋊C₈	—	131	1	no	—
241	C₂²⋊C₈	—	131	1	no	—
242	C₄×C₈	—	131	1	no	—
243	C₄×C₈	C₂×D₁₃₁	1	1	yes	characteristic, complemented
244	C₂⁴	—	262	1	no	—
245	C₂×Q₈	—	131	1	no	—
246	C₂×D₄	—	262	2	no	—
247	C₂×D₄	—	262	2	no	—
248	C₂×D₄	—	262	1	no	—
249	C₂×D₄	—	262	1	no	—
250	C₂×D₄	—	131	1	no	—
251	C₂×D₄	C₂²×D₁₃₁	1	1	yes	characteristic
252	C₂×D₄	C₂²×D₁₃₁	1	1	yes	characteristic
253	C₂²×C₄	—	2	1	no	—
254	C₂²×C₄	—	2	1	no	—
255	C₂²×C₄	—	262	1	no	—
256	C₂²×C₄	—	262	1	no	—
257	C₂²×C₄	—	262	1	no	—
258	C₂²×C₄	—	262	1	no	—
259	C₂²×C₄	—	524	4	no	—
260	C₂²×C₄	—	131	1	no	—
261	C₂²×C₄	—	131	1	no	—
262	C₂²×C₄	—	131	1	no	—
263	SD₁₆	—	262	2	no	—
264	SD₁₆	—	262	2	no	—
265	D₈	—	2	2	no	—
266	D₈	—	262	2	no	—
267	C₂×C₈	—	131	1	no	—
268	C₂×C₈	—	131	1	no	—
269	C₂×C₈	C₂²×D₁₃₁	1	1	yes	characteristic
270	C₂×C₈	C₂²×D₁₃₁	1	1	yes	characteristic
271	C₄⋊C₄	—	262	1	no	—
272	C₄⋊C₄	—	262	1	no	—
273	C₄⋊C₄	—	262	1	no	—
274	C₄⋊C₄	—	262	1	no	—
275	C₄⋊C₄	—	262	1	no	—
276	C₄⋊C₄	—	131	1	no	—
277	C₄⋊C₄	—	131	1	no	—
278	C₄⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
279	C₄⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
280	C₂²⋊C₄	—	2	1	no	—
281	C₂²⋊C₄	—	2	1	no	—
282	C₂²⋊C₄	—	262	1	no	—
283	C₂²⋊C₄	—	262	1	no	—
284	C₂²⋊C₄	—	262	1	no	—
285	C₂²⋊C₄	—	262	1	no	—
286	C₂²⋊C₄	—	262	1	no	—
287	C₂²⋊C₄	—	262	1	no	—
288	C₂²⋊C₄	—	262	1	no	—
289	C₄²	—	262	1	no	—
290	C₄²	—	131	1	no	—
291	C₄²	—	131	1	no	—
292	C₄²	—	131	1	no	—
293	C₄²	C₂²×D₁₃₁	1	1	yes	characteristic
294	C₂³	—	2	1	no	—
295	C₂³	—	2	1	no	—
296	C₂³	—	262	4	no	—
297	C₂³	—	262	1	no	—
298	C₂³	—	524	2	no	—
299	C₂³	—	524	2	no	—
300	C₂³	—	131	1	no	—
301	Q₈	—	262	1	no	—
302	Q₈	—	262	1	no	—
303	D₄	—	2	1	no	—
304	D₄	—	2	1	no	—
305	D₄	—	2	1	no	—
306	D₄	—	262	4	no	—
307	D₄	—	262	1	no	—
308	D₄	—	524	2	no	—
309	D₄	—	131	2	no	—
310	D₄	#14523513	1	2	yes	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	2	1	no	—
313	C₂×C₄	—	4	2	no	—
314	C₂×C₄	—	4	2	no	—
315	C₂×C₄	—	262	2	no	—
316	C₂×C₄	—	262	2	no	—
317	C₂×C₄	—	262	1	no	—
318	C₂×C₄	—	262	1	no	—
319	C₂×C₄	—	262	1	no	—
320	C₂×C₄	—	262	1	no	—
321	C₂×C₄	—	262	1	no	—
322	C₂×C₄	—	524	2	no	—
323	C₂×C₄	—	524	2	no	—
324	C₂×C₄	—	524	2	no	—
325	C₂×C₄	—	524	2	no	—
326	C₂×C₄	—	131	1	no	—
327	C₂×C₄	—	131	1	no	—
328	C₂×C₄	—	131	1	no	—
329	C₂×C₄	D₄×D₁₃₁	1	1	yes	characteristic
330	C₂×C₄	D₄×D₁₃₁	1	1	yes	characteristic
331	C₂×C₄	C₂³×D₁₃₁	1	1	yes	characteristic
332	C₈	—	2	1	no	—
333	C₈	—	2	1	no	—
334	C₈	—	262	1	no	—
335	C₈	—	262	1	no	—
336	C₂²	—	2	2	no	—
337	C₂²	—	4	1	no	—
338	C₂²	—	4	1	no	—
339	C₂²	—	4	1	no	—
340	C₂²	—	4	1	no	—
341	C₂²	—	4	1	no	—
342	C₂²	—	262	1	no	—
343	C₂²	—	262	1	no	—
344	C₂²	—	262	2	no	—
345	C₂²	—	524	8	no	—
346	C₂²	—	524	1	no	—
347	C₂²	—	524	1	no	—
348	C₂²	—	131	2	no	—
349	C₂²	C₂×D₄×D₁₃₁	1	1	yes	characteristic
350	C₄	—	2	1	no	—
351	C₄	—	4	1	no	—
352	C₄	—	4	1	no	—
353	C₄	—	262	1	no	—
354	C₄	—	262	1	no	—
355	C₄	—	262	1	no	—
356	C₄	—	524	1	no	—
357	C₄	—	524	1	no	—
358	C₄	—	524	1	no	—
359	C₄	#16862270	1	2	yes	—
360	C₄	#41×D₁₃₁	1	1	yes	characteristic
361	C₄	C₂×#14523513	1	1	yes	characteristic
362	C₂	—	4	2	no	—
363	C₂	—	262	2	no	—
364	C₂	—	8	1	no	—
365	C₂	—	524	2	no	—
366	C₂	#22553821	1	1	yes	characteristic
367	C₂	#135×D₁₃₁	1	1	yes	characteristic
368	C₂	C₂×#16862270	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	D₄×D₁₃₁
commutator, cosocle	C₂×C₄×C₁₃₁	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₃₁
Fitting	C₄×D₈×C₁₃₁	C₂
socle	C₂²×C₁₃₁	C₂²×D₄
prime radical	#22553444	C₂
hypercenter	C₄×D₈	D₁₃₁
hypocenter	C₁₃₁	#3105
LCS	G ▷ C₂×C₄×C₁₃₁ ▷ C₂×C₁₃₁ ▷ C₁₃₁
UCS	C₁ ◁ C₂×C₄ ◁ C₄² ◁ C₄×D₈

Complements

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

N	H ≅ G/N	type
1. #22553844	C₂	semidirect
2. C₄×D₄×D₁₃₁	C₂	semidirect
3. #22553649	C₂	semidirect
4. #22553629	C₂	semidirect
5. #22553615	C₂	semidirect
6. #22553614	C₂	semidirect
7. #22553526	C₂	semidirect
8. #22553525	C₂	semidirect
9. #22553464	C₂	semidirect
11. C₄×#14523502	C₂	semidirect
12. C₄×#14523501	C₂	semidirect
13. C₄×#14523498	C₂	semidirect
14. #22553363	C₂	semidirect
15. C₄×D₈×C₁₃₁	C₂	semidirect
22. #16862237	C₂²	semidirect
23. #16862233	C₂²	semidirect
27. C₄×Dic₂₆₂	C₂²	semidirect
38. #16862179	C₂²	semidirect
39. #16862178	C₂²	semidirect
40. #16862177	C₂²	semidirect
41. Dic₁₃₁⋊C₈	C₂²	semidirect
42. Dic₁₃₁⋊C₈	C₂²	semidirect
43. #16862171	C₂²	semidirect
44. #16862169	C₂²	semidirect
47. #16862167	C₂²	semidirect
51. C₄×C₁₃₁⋊C₈	C₂²	semidirect
54. C₄×D₄×C₁₃₁	C₂²	semidirect
55. #107×C₁₃₁	C₂²	semidirect
57. #102×C₁₃₁	C₂²	semidirect
58. C₄×C₈×C₁₃₁	C₂²	semidirect
184. C₁₃₁	#3105	semidirect
199. C₄×D₈	D₁₃₁	semidirect
221. C₄×D₄	C₂×D₁₃₁	semidirect
227. #107	C₂×D₁₃₁	semidirect
239. #102	C₂×D₁₃₁	semidirect
243. C₄×C₈	C₂×D₁₃₁	semidirect

Maximal subgroups

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

subgroup	index
#22553844	2
C₄×D₄×D₁₃₁	2
#22553649	2
#22553629	2
#22553615	2
#22553614	2
#22553526	2
#22553525	2
#22553464	2
#22553444	2
C₄×#14523502	2
C₄×#14523501	2
C₄×#14523498	2
#22553363	2
C₄×D₈×C₁₃₁	2
#3105	131