Subgroups — #14906995

Order 2816.

682 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10622520	C₂	1	2	yes	maximal, complemented
2	#13077323	C₂	1	1	yes	maximal, characteristic
3	#13070447	C₂	1	1	yes	maximal, characteristic, complemented
4	#13070439	C₂	1	2	yes	maximal, complemented
5	#13070438	C₂	1	2	yes	maximal, complemented
6	C₁₆×D₄₄	C₂	1	1	yes	maximal, characteristic, complemented
7	D₄×C₁₁⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
8	D₁₁×C₄⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
9	#13070228	C₂	1	2	yes	maximal, complemented
10	C₄×#66862	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2169	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#66954	C₂²	1	2	yes	—
13	#10623079	C₄	1	1	yes	characteristic
14	C₂×C₁₁×M₃₂	C₂²	1	2	yes	—
15	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic
16	C₈×C₂²⋊D₁₁	C₂²	1	2	yes	—
17	C₂²×C₁₁⋊C₁₆	C₂²	1	2	yes	—
18	#10622625	C₄	1	1	yes	characteristic
19	#10622520	—	2	8	no	—
20	C₂×#66862	C₂²	1	2	yes	—
21	C₂×#66862	C₂²	1	1	yes	characteristic
22	C₂×#66862	C₂²	1	1	yes	characteristic
23	C₂×C₁₆×D₁₁	C₂²	1	2	yes	—
24	C₂×C₁₆×D₁₁	C₂²	1	2	yes	—
25	#10622451	C₄	1	1	yes	characteristic
26	#10622450	C₄	1	1	yes	characteristic
27	#10622342	C₄	1	2	yes	—
28	#10622340	C₄	1	2	yes	—
29	C₈×D₄₄	C₂²	1	1	yes	characteristic
30	C₄×C₈×D₁₁	C₂²	1	1	yes	characteristic
31	C₁₁×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
32	C₁₁×C₂²⋊C₁₆	C₂²	1	2	yes	—
33	C₄×C₁₁×C₁₆	C₂²	1	1	yes	characteristic
34	C₂²⋊(C₁₁⋊C₁₆)	C₂²	1	2	yes	—
35	(C₂×D₁₁)⋊C₁₆	C₂²	1	2	yes	—
36	(C₂×D₁₁)⋊C₁₆	C₂²	1	2	yes	—
37	#10622140	C₂²	1	1	yes	characteristic
38	#10622140	C₂²	1	1	yes	characteristic
39	Dic₁₁⋊C₁₆	C₂²	1	2	yes	—
40	C₄⋊(C₁₁⋊C₁₆)	C₂²	1	1	yes	characteristic
41	C₄×C₁₁⋊C₁₆	C₂²	1	1	yes	characteristic
42	C₂×#4339	C₂×C₄	1	2	yes	—
43	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
44	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
45	#66993	C₈	1	1	yes	characteristic
46	#66991	C₈	1	1	yes	characteristic
47	C₄×C₂²⋊D₁₁	C₂×C₄	1	2	yes	—
48	C₂×#4318	C₂×C₄	1	2	yes	—
49	#66954	—	2	4	no	—
50	#66954	—	2	4	no	—
51	C₂×#4313	C₂×C₄	1	2	yes	—
52	C₂×#4313	C₂×C₄	1	2	yes	—
53	C₂×C₈×D₁₁	C₂×C₄	1	1	yes	characteristic
54	C₂×C₈×D₁₁	C₂³	1	2	yes	—
55	C₂×C₈×D₁₁	C₂³	1	1	yes	characteristic
56	#66948	C₈	1	1	yes	characteristic
57	#66941	C₈	1	1	yes	characteristic
58	#66938	C₈	1	2	yes	—
59	#66937	C₈	1	2	yes	—
60	C₄×D₄₄	C₂×C₄	1	1	yes	characteristic
61	C₄²×D₁₁	C₂×C₄	1	1	yes	characteristic
62	C₁₁×M₃₂	—	2	4	no	—
63	C₂×C₁₁×C₁₆	C₂³	1	2	yes	—
64	C₂×C₁₁×C₁₆	C₂³	1	1	yes	characteristic
65	C₂×C₁₁×C₁₆	C₂³	1	1	yes	characteristic
66	C₁₁×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
67	C₁₁×C₂²⋊C₈	C₂×C₄	1	2	yes	—
68	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
69	C₂²⋊(C₁₁⋊C₈)	C₂×C₄	1	2	yes	—
70	(C₂×D₁₁)⋊C₈	C₂×C₄	1	2	yes	—
71	(C₂×D₁₁)⋊C₈	C₂×C₄	1	2	yes	—
72	Dic₁₁⋊C₈	C₂×C₄	1	2	yes	—
73	C₈×Dic₁₁	C₂×C₄	1	1	yes	characteristic
74	C₈×Dic₁₁	C₂³	1	1	yes	characteristic
75	C₂×C₁₁⋊C₁₆	—	2	4	no	—
76	C₂×C₁₁⋊C₁₆	C₂³	1	2	yes	—
77	C₂×C₁₁⋊C₁₆	C₂³	1	1	yes	characteristic
78	C₂×C₁₁⋊C₁₆	C₂³	1	1	yes	characteristic
79	C₄⋊(C₁₁⋊C₈)	C₂×C₄	1	1	yes	characteristic
80	C₄×C₁₁⋊C₈	C₂×C₄	1	1	yes	characteristic
81	#66862	—	2	2	no	—
82	#66862	—	2	4	no	—
83	#66862	D₄	1	4	yes	complemented
84	C₁₆×D₁₁	—	2	4	no	—
85	C₁₆×D₁₁	—	2	4	no	—
86	#33438	—	11	1	no	maximal, Sylow
87	C₂×D₄×C₁₁	C₂×C₈	1	1	yes	characteristic
88	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
89	C₂×C₂²⋊D₁₁	C₂×C₈	1	2	yes	—
90	C₂×C₂²⋊D₁₁	C₂×C₈	1	2	yes	—
91	C₂×C₂²⋊D₁₁	C₂×C₈	1	2	yes	—
92	#4339	—	2	4	no	—
93	#4339	—	2	4	no	—
94	C₂×D₄₄	C₂×C₈	1	1	yes	characteristic
95	C₂×D₄₄	C₂×C₈	1	2	yes	—
96	C₂×C₄×D₁₁	C₂×C₈	1	1	yes	characteristic
97	C₂×C₄×D₁₁	C₂×C₈	1	1	yes	characteristic
98	C₂×C₄×D₁₁	C₂²×C₄	1	2	yes	—
99	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
100	C₂×Dic₂₂	C₂×C₈	1	2	yes	—
101	C₂×C₈×C₁₁	—	2	2	no	—
102	C₂×C₈×C₁₁	—	2	2	no	—
103	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
104	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
105	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
106	C₁₁×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
107	C₁₁×C₂²⋊C₄	C₂×C₈	1	2	yes	—
108	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
109	C₂²⋊Dic₁₁	C₂×C₈	1	2	yes	—
110	(C₂×D₁₁)⋊C₄	C₂×C₈	1	2	yes	—
111	(C₂×D₁₁)⋊C₄	C₂×C₈	1	2	yes	—
112	C₄⋊Dic₁₁	C₂×C₈	1	1	yes	characteristic
113	Dic₁₁⋊C₄	C₂×C₈	1	2	yes	—
114	C₄×Dic₁₁	C₂×C₈	1	1	yes	characteristic
115	C₄×Dic₁₁	C₂×C₈	1	1	yes	characteristic
116	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
117	#4318	—	2	4	no	—
118	C₂×C₁₁⋊C₈	C₂²×C₄	1	1	yes	characteristic
119	C₂×C₁₁⋊C₈	C₂²×C₄	1	2	yes	—
120	C₂×C₁₁⋊C₈	C₂²×C₄	1	1	yes	characteristic
121	#4313	—	2	4	no	—
122	#4313	—	2	4	no	—
123	C₈×D₁₁	—	2	2	no	—
124	C₈×D₁₁	—	2	2	no	—
125	C₈×D₁₁	—	2	2	no	—
126	C₈×D₁₁	C₂×D₄	1	2	yes	—
127	C₈×D₁₁	#41	1	2	yes	—
128	C₁₁×C₁₆	—	2	2	no	—
129	C₁₁×C₁₆	—	2	1	no	—
130	C₁₁×C₁₆	C₂×D₄	1	2	yes	—
131	C₁₁⋊C₁₆	—	2	2	no	—
132	C₁₁⋊C₁₆	—	2	1	no	—
133	C₁₁⋊C₁₆	C₂×D₄	1	2	yes	—
134	C₂×#504	—	11	2	no	—
135	#2931	—	11	1	no	—
136	#2169	—	11	1	no	—
137	#2169	D₁₁	1	1	yes	characteristic, complemented
138	#2168	—	11	2	no	—
139	#2168	—	11	2	no	—
140	D₄×C₁₆	—	11	1	no	—
141	D₄×C₁₆	—	11	1	no	—
142	C₂×C₄⋊C₁₆	—	11	1	no	—
143	#2113	—	11	2	no	—
144	C₄×M₃₂	—	11	1	no	—
145	C₂³×C₁₁	C₂²×C₈	1	2	yes	—
146	C₂²×D₁₁	C₂²×C₈	1	2	yes	—
147	C₂²×D₁₁	C₂²×C₈	1	1	yes	characteristic
148	D₄×C₁₁	—	2	2	no	—
149	C₂×C₄×C₁₁	—	2	2	no	—
150	C₂×C₄×C₁₁	—	2	2	no	—
151	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
152	C₂×C₄×C₁₁	C₂²×C₈	1	2	yes	—
153	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
154	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
155	C₂²⋊D₁₁	—	2	4	no	—
156	C₂²⋊D₁₁	—	2	4	no	—
157	C₂²⋊D₁₁	—	4	2	no	—
158	C₂×Dic₁₁	C₂²×C₈	1	1	yes	characteristic
159	C₂×Dic₁₁	C₂²×C₈	1	1	yes	characteristic
160	C₂×Dic₁₁	C₂²×C₈	1	2	yes	—
161	C₂×Dic₁₁	C₂²×C₈	1	1	yes	characteristic
162	D₄₄	—	2	4	no	—
163	D₄₄	—	2	2	no	—
164	C₄×D₁₁	—	2	2	no	—
165	C₄×D₁₁	—	2	2	no	—
166	C₄×D₁₁	—	2	2	no	—
167	C₄×D₁₁	—	4	1	no	—
168	C₄×D₁₁	C₄×D₄	1	2	yes	—
169	C₄×D₁₁	#131	1	2	yes	—
170	Dic₂₂	—	2	4	no	—
171	C₈×C₁₁	—	2	2	no	—
172	C₈×C₁₁	—	2	1	no	—
173	C₈×C₁₁	C₂²×D₄	1	1	yes	characteristic
174	C₈×C₁₁	C₂×#41	1	1	yes	characteristic
175	C₁₁⋊C₈	—	2	2	no	—
176	C₁₁⋊C₈	—	2	1	no	—
177	C₁₁⋊C₈	C₄×D₄	1	2	yes	—
178	C₂×#131	—	11	2	no	—
179	#532	—	11	1	no	—
180	#504	—	22	8	no	—
181	C₂×M₃₂	—	11	1	no	—
182	C₂×M₃₂	—	11	1	no	—
183	C₂×M₃₂	—	11	2	no	—
184	C₂×M₃₂	C₂×D₁₁	1	2	yes	—
185	C₂²×C₁₆	—	11	2	no	—
186	C₂²×C₁₆	—	11	2	no	—
187	C₂²×C₁₆	—	11	2	no	—
188	#436	—	11	1	no	—
189	#436	—	11	1	no	—
190	#436	—	11	2	no	—
191	C₈×D₄	—	11	2	no	—
192	C₈×D₄	—	11	1	no	—
193	C₈×D₄	C₂×D₁₁	1	1	yes	characteristic
194	#423	—	11	1	no	—
195	#408	—	11	2	no	—
196	C₂×C₄×C₈	—	11	1	no	—
197	C₄⋊C₁₆	—	11	2	no	—
198	C₄⋊C₁₆	—	11	1	no	—
199	C₄⋊C₁₆	C₂×D₁₁	1	1	yes	characteristic
200	C₂²⋊C₁₆	—	11	2	no	—
201	C₂²⋊C₁₆	—	11	2	no	—
202	C₂²⋊C₁₆	—	11	2	no	—
203	C₂²⋊C₁₆	C₂×D₁₁	1	2	yes	—
204	#346	—	11	1	no	—
205	#346	—	11	1	no	—
206	C₄×C₁₆	—	11	1	no	—
207	C₄×C₁₆	C₂×D₁₁	1	1	yes	characteristic
208	C₂²×C₁₁	—	2	2	no	—
209	C₂²×C₁₁	—	2	2	no	—
210	C₂²×C₁₁	—	2	2	no	—
211	C₂²×C₁₁	C₂³×C₈	1	1	yes	characteristic
212	C₂×D₁₁	—	2	1	no	—
213	C₂×D₁₁	—	2	1	no	—
214	C₂×D₁₁	—	2	2	no	—
215	C₂×D₁₁	—	2	2	no	—
216	C₂×D₁₁	—	2	2	no	—
217	C₂×D₁₁	C₈×D₄	1	2	yes	—
218	C₄×C₁₁	—	2	1	no	—
219	C₄×C₁₁	—	2	2	no	—
220	C₄×C₁₁	#504	1	2	yes	complemented
221	C₄×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
222	C₄×C₁₁	C₂×#131	1	1	yes	characteristic
223	Dic₁₁	—	2	1	no	—
224	Dic₁₁	—	2	1	no	—
225	Dic₁₁	—	2	2	no	—
226	Dic₁₁	C₈×D₄	1	2	yes	—
227	C₂×#41	—	11	2	no	—
228	#131	—	22	4	no	—
229	#131	—	22	4	no	—
230	C₂×M₁₆	—	11	2	no	—
231	C₂×M₁₆	—	11	2	no	—
232	C₂×M₁₆	—	11	2	no	—
233	C₂²×C₈	—	11	1	no	—
234	C₂²×C₈	—	11	1	no	—
235	C₂²×C₈	—	11	2	no	—
236	C₂²×C₈	C₂²×D₁₁	1	2	yes	—
237	C₄⋊Q₈	—	11	1	no	—
238	#127	—	11	1	no	—
239	#124	—	11	2	no	—
240	#121	—	11	1	no	—
241	#121	—	11	1	no	—
242	#121	—	11	2	no	—
243	C₄×D₄	—	11	2	no	—
244	C₄×D₄	—	11	1	no	—
245	C₄×D₄	C₄×D₁₁	1	1	yes	characteristic
246	C₂×C₄²	—	11	1	no	—
247	M₃₂	—	2	4	no	—
248	M₃₂	—	11	4	no	—
249	M₃₂	—	22	4	no	—
250	M₃₂	—	22	2	no	—
251	C₂×C₁₆	—	11	1	no	—
252	C₂×C₁₆	—	11	1	no	—
253	C₂×C₁₆	—	11	2	no	—
254	C₂×C₁₆	—	22	4	no	—
255	C₂×C₁₆	—	22	4	no	—
256	C₂×C₁₆	—	22	4	no	—
257	C₂×C₁₆	C₂²×D₁₁	1	1	yes	characteristic
258	C₂×C₁₆	C₂²×D₁₁	1	2	yes	—
259	C₂×C₁₆	C₂²×D₁₁	1	1	yes	characteristic
260	C₄⋊C₈	—	11	2	no	—
261	C₄⋊C₈	—	11	1	no	—
262	C₄⋊C₈	C₄×D₁₁	1	1	yes	characteristic
263	C₂²⋊C₈	—	11	2	no	—
264	C₂²⋊C₈	—	11	2	no	—
265	C₂²⋊C₈	—	11	2	no	—
266	C₂²⋊C₈	C₄×D₁₁	1	2	yes	—
267	C₄×C₈	—	11	1	no	—
268	C₄×C₈	—	11	1	no	—
269	C₄×C₈	—	11	1	no	—
270	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
271	C₂×C₁₁	—	4	2	no	—
272	C₂×C₁₁	C₂×C₈×D₄	1	1	yes	characteristic
273	C₂×C₁₁	C₂×#504	1	1	yes	characteristic
274	C₂×C₁₁	#3407	1	1	yes	characteristic
275	D₁₁	—	2	2	no	—
276	D₁₁	—	4	2	no	—
277	#41	—	22	4	no	—
278	#41	—	22	4	no	—
279	C₂×Q₈	—	11	2	no	—
280	C₂×D₄	—	11	2	no	—
281	C₂×D₄	—	11	2	no	—
282	C₂×D₄	—	11	2	no	—
283	C₂×D₄	—	11	1	no	—
284	C₂×D₄	—	11	2	no	—
285	C₂×D₄	C₈×D₁₁	1	1	yes	characteristic
286	C₂²×C₄	—	11	1	no	—
287	C₂²×C₄	—	11	1	no	—
288	C₂²×C₄	—	11	2	no	—
289	C₂²×C₄	—	11	1	no	—
290	C₂²×C₄	C₂×C₄×D₁₁	1	2	yes	—
291	M₁₆	—	22	4	no	—
292	M₁₆	—	22	4	no	—
293	M₁₆	—	22	4	no	—
294	C₂×C₈	—	2	2	no	—
295	C₂×C₈	—	2	2	no	—
296	C₂×C₈	—	11	1	no	—
297	C₂×C₈	—	11	2	no	—
298	C₂×C₈	—	11	2	no	—
299	C₂×C₈	—	11	1	no	—
300	C₂×C₈	—	11	2	no	—
301	C₂×C₈	—	22	2	no	—
302	C₂×C₈	—	22	2	no	—
303	C₂×C₈	—	22	2	no	—
304	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
305	C₂×C₈	C₂×C₄×D₁₁	1	2	yes	—
306	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
307	C₄⋊C₄	—	11	2	no	—
308	C₄⋊C₄	—	11	1	no	—
309	C₄⋊C₄	C₈×D₁₁	1	1	yes	characteristic
310	C₂²⋊C₄	—	11	2	no	—
311	C₂²⋊C₄	—	11	2	no	—
312	C₂²⋊C₄	—	11	2	no	—
313	C₂²⋊C₄	C₈×D₁₁	1	2	yes	—
314	C₄²	—	11	1	no	—
315	C₄²	—	11	1	no	—
316	C₄²	—	11	1	no	—
317	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
318	C₁₆	—	2	2	no	—
319	C₁₆	—	2	1	no	—
320	C₁₆	—	11	2	no	—
321	C₁₆	—	22	2	no	—
322	C₁₆	—	22	1	no	—
323	C₁₆	D₄×D₁₁	1	2	yes	—
324	C₁₁	#33438	1	1	yes	characteristic, complemented, Sylow
325	C₂³	—	11	1	no	—
326	C₂³	—	11	2	no	—
327	C₂³	C₂×C₈×D₁₁	1	2	yes	—
328	Q₈	—	22	4	no	—
329	D₄	—	2	2	no	—
330	D₄	—	22	4	no	—
331	D₄	—	22	4	no	—
332	D₄	—	22	4	no	—
333	D₄	—	22	2	no	—
334	D₄	—	44	2	no	—
335	C₂×C₄	—	2	2	no	—
336	C₂×C₄	—	2	2	no	—
337	C₂×C₄	—	11	1	no	—
338	C₂×C₄	—	11	2	no	—
339	C₂×C₄	—	11	2	no	—
340	C₂×C₄	—	11	1	no	—
341	C₂×C₄	—	11	1	no	—
342	C₂×C₄	—	11	2	no	—
343	C₂×C₄	—	22	2	no	—
344	C₂×C₄	—	22	2	no	—
345	C₂×C₄	—	22	2	no	—
346	C₂×C₄	—	44	1	no	—
347	C₂×C₄	C₂×C₈×D₁₁	1	1	yes	characteristic
348	C₂×C₄	C₂×C₈×D₁₁	1	2	yes	—
349	C₂×C₄	C₂×C₈×D₁₁	1	1	yes	characteristic
350	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
351	C₈	—	2	1	no	—
352	C₈	—	2	2	no	—
353	C₈	—	11	2	no	—
354	C₈	—	22	1	no	—
355	C₈	—	22	2	no	—
356	C₈	C₂×D₄×D₁₁	1	1	yes	characteristic
357	C₈	#41×D₁₁	1	1	yes	characteristic
358	C₂²	—	2	2	no	—
359	C₂²	—	2	2	no	—
360	C₂²	—	2	2	no	—
361	C₂²	—	11	2	no	—
362	C₂²	—	22	1	no	—
363	C₂²	—	22	1	no	—
364	C₂²	—	22	2	no	—
365	C₂²	—	22	2	no	—
366	C₂²	—	22	2	no	—
367	C₂²	C₂²×C₈×D₁₁	1	1	yes	characteristic
368	C₄	—	2	2	no	—
369	C₄	—	2	1	no	—
370	C₄	—	11	2	no	—
371	C₄	—	22	2	no	—
372	C₄	—	22	1	no	—
373	C₄	—	22	1	no	—
374	C₄	#10622520	1	2	yes	complemented
375	C₄	C₄×D₄×D₁₁	1	1	yes	characteristic
376	C₄	D₁₁×#131	1	1	yes	characteristic
377	C₂	—	4	2	no	—
378	C₂	—	22	2	no	—
379	C₂	—	44	2	no	—
380	C₂	C₈×D₄×D₁₁	1	1	yes	characteristic
381	C₂	C₂×#10622520	1	1	yes	characteristic
382	C₂	#13081717	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₈	C₂³×D₁₁
commutator, socle	C₂²×C₁₁	C₂³×C₈
Fitting	C₁₁×#2169	C₂
prime radical	#10623079	C₄
cosocle	C₂×C₈×C₁₁	C₂⁴
hypercenter	#2169	D₁₁
hypocenter	C₁₁	#33438
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂×C₈ ◁ #2169

Complements

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

N	H ≅ G/N	type
1. C₂×#10622520	C₂	semidirect
3. #13070447	C₂	semidirect
4. #13070439	C₂	semidirect
5. #13070438	C₂	semidirect
6. C₁₆×D₄₄	C₂	semidirect
7. D₄×C₁₁⋊C₁₆	C₂	semidirect
8. D₁₁×C₄⋊C₁₆	C₂	semidirect
9. #13070228	C₂	semidirect
10. C₄×#66862	C₂	semidirect
11. C₁₁×#2169	C₂	semidirect
83. #66862	D₄	semidirect
137. #2169	D₁₁	semidirect
220. C₄×C₁₁	#504	semidirect
324. C₁₁	#33438	semidirect
374. C₄	#10622520	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10622520	2
#13077323	2
#13070447	2
#13070439	2
#13070438	2
C₁₆×D₄₄	2
D₄×C₁₁⋊C₁₆	2
D₁₁×C₄⋊C₁₆	2
#13070228	2
C₄×#66862	2
C₁₁×#2169	2
#33438	11