Subgroups — #13077348

Order 1408.

544 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄×C₂²⋊D₁₁	C₂	1	1	yes	maximal, characteristic
2	C₂²×#4318	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×M₁₆×D₁₁	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#407	C₂	1	1	yes	maximal, characteristic, complemented
5	#10622739	C₂	1	1	yes	maximal, characteristic, complemented
6	#10622731	C₂	1	1	yes	maximal, characteristic, complemented
7	M₁₆×Dic₁₁	C₂	1	1	yes	maximal, characteristic, complemented
8	#10622343	C₂	1	2	yes	maximal, complemented
9	#10622342	C₂	1	2	yes	maximal, complemented
10	#10622341	C₂	1	2	yes	maximal, complemented
11	(C₂²⋊D₁₁)⋊C₈	C₂	1	2	yes	maximal, complemented
12	C₂³×C₄×C₁₁	C₂²	1	1	yes	characteristic
13	C₂²×C₂²⋊D₁₁	C₄	1	1	yes	characteristic
14	C₂²×C₄×D₁₁	C₂²	1	1	yes	characteristic
15	C₂×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
16	C₂×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
17	C₂×C₂²⋊Dic₁₁	C₄	1	1	yes	characteristic
18	C₄×C₂²⋊D₁₁	C₄	1	1	yes	characteristic
19	C₄×C₂²⋊D₁₁	C₄	1	1	yes	characteristic
20	C₄×C₂²⋊D₁₁	C₄	1	1	yes	characteristic
21	C₄×C₂²⋊D₁₁	C₄	1	1	yes	characteristic
22	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
23	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
24	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
25	C₄×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
26	C₂×(C₂×D₁₁)⋊C₄	C₄	1	1	yes	characteristic
27	C₂×Dic₁₁⋊C₄	C₄	1	1	yes	characteristic
28	C₂×C₄×Dic₁₁	C₂²	1	1	yes	characteristic
29	C₂×#4318	—	2	4	no	—
30	C₂×#4318	C₂²	1	1	yes	characteristic
31	C₂×#4318	C₂²	1	1	yes	characteristic
32	C₂×#4318	C₂²	1	2	yes	complemented
33	C₂²×C₁₁⋊C₈	C₂²	1	2	yes	complemented
34	M₁₆×D₁₁	—	2	4	no	—
35	C₂×#4313	C₂²	1	2	yes	complemented
36	C₂×C₈×D₁₁	C₂²	1	2	yes	complemented
37	C₁₁×C₂²⋊C₈	C₂²	1	2	yes	complemented
38	C₁₁×C₂²⋊C₈	C₂²	1	2	yes	complemented
39	(C₂×D₁₁)⋊C₈	C₂²	1	2	yes	complemented
40	(C₂×D₁₁)⋊C₈	C₂²	1	2	yes	complemented
41	#66879	C₂²	1	2	yes	complemented
42	Dic₁₁⋊C₈	C₂²	1	2	yes	complemented
43	Dic₁₁⋊C₈	C₂²	1	2	yes	complemented
44	C₈×Dic₁₁	C₂²	1	2	yes	complemented
45	C₂⁴×C₁₁	C₂×C₄	1	1	yes	characteristic
46	C₂³×D₁₁	C₂×C₄	1	1	yes	characteristic
47	C₂²×C₄×C₁₁	—	2	2	no	—
48	C₂²×C₄×C₁₁	—	2	2	no	—
49	C₂²×C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
50	C₂²×C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
51	C₂²×C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
52	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
53	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
54	C₂²×C₄×C₁₁	C₂³	1	1	yes	characteristic
55	C₂×C₂²⋊D₁₁	—	2	4	no	—
56	C₂×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
57	C₂×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
58	C₂×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
59	C₂×C₂²⋊D₁₁	C₂×C₄	1	1	yes	characteristic
60	C₂²×Dic₁₁	C₂×C₄	1	1	yes	characteristic
61	C₂²×Dic₁₁	C₂×C₄	1	1	yes	characteristic
62	C₂²×Dic₁₁	C₂×C₄	1	1	yes	characteristic
63	C₂×C₄×D₁₁	—	2	2	no	—
64	C₂×C₄×D₁₁	—	2	2	no	—
65	C₂×C₄×D₁₁	C₂×C₄	1	1	yes	characteristic
66	C₂×C₄×D₁₁	C₂×C₄	1	1	yes	characteristic
67	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
68	C₂×C₄×D₁₁	C₂³	1	1	yes	characteristic
69	C₁₁×M₁₆	—	2	2	no	—
70	C₁₁×M₁₆	—	2	2	no	—
71	C₂×C₈×C₁₁	C₂³	1	2	yes	—
72	C₂×C₈×C₁₁	C₂³	1	2	yes	—
73	C₂²⋊Dic₁₁	C₂×C₄	1	1	yes	characteristic
74	C₂²⋊Dic₁₁	C₂×C₄	1	1	yes	characteristic
75	C₂²⋊Dic₁₁	C₂×C₄	1	1	yes	characteristic
76	C₂²⋊Dic₁₁	C₂×C₄	1	1	yes	characteristic
77	(C₂×D₁₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
78	(C₂×D₁₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
79	(C₂×D₁₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
80	(C₂×D₁₁)⋊C₄	C₂×C₄	1	1	yes	characteristic
81	Dic₁₁⋊C₄	C₂×C₄	1	1	yes	characteristic
82	Dic₁₁⋊C₄	C₂×C₄	1	1	yes	characteristic
83	Dic₁₁⋊C₄	C₂×C₄	1	1	yes	characteristic
84	Dic₁₁⋊C₄	C₂×C₄	1	1	yes	characteristic
85	C₄×Dic₁₁	C₂×C₄	1	1	yes	characteristic
86	C₄×Dic₁₁	C₂×C₄	1	1	yes	characteristic
87	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
88	C₄×Dic₁₁	C₂³	1	1	yes	characteristic
89	#4318	—	2	4	no	—
90	#4318	—	2	2	no	—
91	#4318	D₄	1	4	yes	complemented
92	C₂×C₁₁⋊C₈	—	2	4	no	—
93	C₂×C₁₁⋊C₈	C₂³	1	2	yes	—
94	C₂×C₁₁⋊C₈	C₂³	1	2	yes	—
95	#4313	—	2	4	no	—
96	C₈×D₁₁	—	2	4	no	—
97	D₄×M₁₆	—	11	1	no	maximal, Sylow
98	C₂³×C₁₁	—	2	2	no	—
99	C₂³×C₁₁	—	2	2	no	—
100	C₂³×C₁₁	—	4	1	no	—
101	C₂³×C₁₁	C₂²×C₄	1	1	yes	characteristic
102	C₂³×C₁₁	C₂²×C₄	1	1	yes	characteristic
103	C₂³×C₁₁	C₂²×C₄	1	1	yes	characteristic
104	C₂²×D₁₁	—	2	2	no	—
105	C₂²×D₁₁	—	2	2	no	—
106	C₂²×D₁₁	—	4	1	no	—
107	C₂²×D₁₁	C₂²×C₄	1	1	yes	characteristic
108	C₂²×D₁₁	C₂²×C₄	1	1	yes	characteristic
109	C₂×C₄×C₁₁	—	2	2	no	—
110	C₂×C₄×C₁₁	—	2	2	no	—
111	C₂×C₄×C₁₁	—	2	2	no	—
112	C₂×C₄×C₁₁	—	2	1	no	—
113	C₂×C₄×C₁₁	—	2	1	no	—
114	C₂×C₄×C₁₁	—	2	1	no	—
115	C₂×C₄×C₁₁	—	2	1	no	—
116	C₂×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
117	C₂×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
118	C₂×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
119	C₂×C₄×C₁₁	C₂×D₄	1	2	yes	—
120	C₂×C₄×C₁₁	#41	1	2	yes	—
121	C₂×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
122	C₂²⋊D₁₁	—	2	2	no	—
123	C₂²⋊D₁₁	—	2	2	no	—
124	C₂²⋊D₁₁	—	2	2	no	—
125	C₂²⋊D₁₁	M₁₆	1	4	yes	complemented
126	C₂×Dic₁₁	—	2	2	no	—
127	C₂×Dic₁₁	—	2	2	no	—
128	C₂×Dic₁₁	—	4	1	no	—
129	C₂×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
130	C₂×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
131	C₂×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
132	C₂×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
133	C₂×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
134	C₂×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
135	C₄×D₁₁	—	2	2	no	—
136	C₄×D₁₁	—	2	2	no	—
137	C₄×D₁₁	—	2	1	no	—
138	C₄×D₁₁	—	2	1	no	—
139	C₄×D₁₁	—	2	1	no	—
140	C₄×D₁₁	—	2	1	no	—
141	C₈×C₁₁	—	2	2	no	—
142	C₈×C₁₁	—	2	2	no	—
143	C₁₁⋊C₈	—	2	2	no	—
144	C₁₁⋊C₈	C₂×D₄	1	4	yes	complemented
145	C₂²×M₁₆	—	11	1	no	—
146	C₂²×M₁₆	—	11	1	no	—
147	C₂×C₄×D₄	—	11	1	no	—
148	#436	—	11	2	no	—
149	#435	—	11	2	no	—
150	#435	—	11	2	no	—
151	C₈×D₄	—	11	2	no	—
152	#423	—	11	1	no	—
153	#407	—	11	1	no	—
154	#407	D₁₁	1	1	yes	characteristic, complemented
155	C₄×M₁₆	—	11	1	no	—
156	C₂²×C₁₁	—	2	1	no	—
157	C₂²×C₁₁	—	2	1	no	—
158	C₂²×C₁₁	—	2	1	no	—
159	C₂²×C₁₁	—	2	1	no	—
160	C₂²×C₁₁	—	2	1	no	—
161	C₂²×C₁₁	—	2	1	no	—
162	C₂²×C₁₁	—	2	1	no	—
163	C₂²×C₁₁	—	4	4	no	—
164	C₂²×C₁₁	C₄×D₄	1	2	yes	—
165	C₂²×C₁₁	C₂×M₁₆	1	2	yes	complemented
166	C₂²×C₁₁	C₂³×C₄	1	1	yes	characteristic
167	C₂×D₁₁	—	2	1	no	—
168	C₂×D₁₁	—	2	1	no	—
169	C₂×D₁₁	—	2	1	no	—
170	C₂×D₁₁	—	2	1	no	—
171	C₂×D₁₁	—	2	1	no	—
172	C₂×D₁₁	—	4	4	no	—
173	C₂×D₁₁	C₂×M₁₆	1	2	yes	complemented
174	C₄×C₁₁	—	2	1	no	—
175	C₄×C₁₁	—	2	1	no	—
176	C₄×C₁₁	C₄×D₄	1	2	yes	—
177	C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
178	C₄×C₁₁	C₂×#41	1	1	yes	characteristic
179	Dic₁₁	—	2	1	no	—
180	Dic₁₁	—	2	1	no	—
181	Dic₁₁	—	2	1	no	—
182	Dic₁₁	—	2	1	no	—
183	Dic₁₁	—	2	1	no	—
184	Dic₁₁	C₂×M₁₆	1	2	yes	complemented
185	C₂²×D₄	—	11	1	no	—
186	C₂³×C₄	—	11	1	no	—
187	C₂³×C₄	C₂×D₁₁	1	1	yes	characteristic
188	C₂×M₁₆	—	11	1	no	—
189	C₂×M₁₆	—	11	1	no	—
190	C₂×M₁₆	—	11	2	no	—
191	C₂×M₁₆	—	11	2	no	—
192	C₂×M₁₆	—	22	4	no	—
193	C₂×M₁₆	—	22	4	no	—
194	C₂×M₁₆	C₂×D₁₁	1	1	yes	characteristic
195	C₂×M₁₆	C₂×D₁₁	1	1	yes	characteristic
196	C₂²×C₈	—	11	2	no	—
197	C₂²×C₈	—	11	2	no	—
198	C₄×D₄	—	11	1	no	—
199	C₄×D₄	—	11	1	no	—
200	C₄×D₄	—	11	1	no	—
201	C₄×D₄	—	11	1	no	—
202	C₄×D₄	—	11	1	no	—
203	C₄×D₄	—	11	1	no	—
204	C₄×D₄	—	11	1	no	—
205	C₄×D₄	—	11	1	no	—
206	C₂×C₄⋊C₄	—	11	1	no	—
207	C₂×C₂²⋊C₄	—	11	1	no	—
208	C₂×C₂²⋊C₄	—	11	1	no	—
209	C₂×C₄²	—	11	1	no	—
210	C₄⋊C₈	—	11	2	no	—
211	C₄⋊C₈	—	11	2	no	—
212	C₂²⋊C₈	—	11	2	no	—
213	C₂²⋊C₈	—	11	2	no	—
214	C₂²⋊C₈	C₂×D₁₁	1	2	yes	complemented
215	C₂²⋊C₈	C₂×D₁₁	1	2	yes	complemented
216	#97	—	11	2	no	—
217	C₄×C₈	—	11	2	no	—
218	C₂×C₁₁	—	2	2	no	—
219	C₂×C₁₁	—	2	2	no	—
220	C₂×C₁₁	—	4	1	no	—
221	C₂×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
222	C₂×C₁₁	C₂²×M₁₆	1	1	yes	characteristic
223	C₂×C₁₁	#568	1	1	yes	characteristic
224	D₁₁	—	2	2	no	—
225	D₁₁	—	4	1	no	—
226	C₂⁴	—	11	1	no	—
227	C₂⁴	C₄×D₁₁	1	1	yes	characteristic
228	C₂×D₄	—	11	1	no	—
229	C₂×D₄	—	11	1	no	—
230	C₂×D₄	—	11	1	no	—
231	C₂×D₄	—	11	1	no	—
232	C₂×D₄	—	22	4	no	—
233	C₂²×C₄	—	2	2	no	—
234	C₂²×C₄	—	2	2	no	—
235	C₂²×C₄	—	11	1	no	—
236	C₂²×C₄	—	11	1	no	—
237	C₂²×C₄	—	11	1	no	—
238	C₂²×C₄	—	11	1	no	—
239	C₂²×C₄	—	11	1	no	—
240	C₂²×C₄	—	11	1	no	—
241	C₂²×C₄	—	11	1	no	—
242	C₂²×C₄	—	22	2	no	—
243	C₂²×C₄	—	22	2	no	—
244	C₂²×C₄	C₄×D₁₁	1	1	yes	characteristic
245	C₂²×C₄	C₄×D₁₁	1	1	yes	characteristic
246	C₂²×C₄	C₄×D₁₁	1	1	yes	characteristic
247	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
248	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
249	C₂²×C₄	C₂²×D₁₁	1	1	yes	characteristic
250	M₁₆	—	2	2	no	—
251	M₁₆	—	2	2	no	—
252	M₁₆	—	11	4	no	—
253	M₁₆	—	22	4	no	—
254	M₁₆	—	22	4	no	—
255	M₁₆	—	22	2	no	—
256	C₂×C₈	—	11	2	no	—
257	C₂×C₈	—	11	2	no	—
258	C₂×C₈	—	22	4	no	—
259	C₂×C₈	—	22	4	no	—
260	C₂×C₈	C₂²×D₁₁	1	2	yes	—
261	C₂×C₈	C₂²×D₁₁	1	2	yes	—
262	C₄⋊C₄	—	11	1	no	—
263	C₄⋊C₄	—	11	1	no	—
264	C₄⋊C₄	—	11	1	no	—
265	C₄⋊C₄	—	11	1	no	—
266	C₂²⋊C₄	—	11	1	no	—
267	C₂²⋊C₄	—	11	1	no	—
268	C₂²⋊C₄	—	11	1	no	—
269	C₂²⋊C₄	—	11	1	no	—
270	C₂²⋊C₄	—	11	1	no	—
271	C₂²⋊C₄	—	11	1	no	—
272	C₂²⋊C₄	—	11	1	no	—
273	C₂²⋊C₄	—	11	1	no	—
274	C₄²	—	11	1	no	—
275	C₄²	—	11	1	no	—
276	C₄²	—	11	1	no	—
277	C₄²	—	11	1	no	—
278	C₁₁	D₄×M₁₆	1	1	yes	characteristic, complemented, Sylow
279	C₂³	—	2	2	no	—
280	C₂³	—	2	2	no	—
281	C₂³	—	4	1	no	—
282	C₂³	—	11	1	no	—
283	C₂³	—	11	1	no	—
284	C₂³	—	22	2	no	—
285	C₂³	—	22	2	no	—
286	C₂³	—	44	1	no	—
287	C₂³	C₂×C₄×D₁₁	1	1	yes	characteristic
288	C₂³	C₂×C₄×D₁₁	1	1	yes	characteristic
289	C₂³	C₂×C₄×D₁₁	1	1	yes	characteristic
290	D₄	—	11	4	no	—
291	D₄	—	22	2	no	—
292	D₄	—	22	2	no	—
293	D₄	—	22	2	no	—
294	C₂×C₄	—	2	2	no	—
295	C₂×C₄	—	2	2	no	—
296	C₂×C₄	—	2	2	no	—
297	C₂×C₄	—	2	1	no	—
298	C₂×C₄	—	2	1	no	—
299	C₂×C₄	—	2	1	no	—
300	C₂×C₄	—	2	1	no	—
301	C₂×C₄	—	11	1	no	—
302	C₂×C₄	—	11	1	no	—
303	C₂×C₄	—	11	1	no	—
304	C₂×C₄	—	11	1	no	—
305	C₂×C₄	—	11	1	no	—
306	C₂×C₄	—	11	1	no	—
307	C₂×C₄	—	22	2	no	—
308	C₂×C₄	—	22	2	no	—
309	C₂×C₄	—	22	2	no	—
310	C₂×C₄	—	22	2	no	—
311	C₂×C₄	—	22	1	no	—
312	C₂×C₄	—	22	1	no	—
313	C₂×C₄	—	22	1	no	—
314	C₂×C₄	—	22	1	no	—
315	C₂×C₄	—	44	1	no	—
316	C₂×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
317	C₂×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
318	C₂×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
319	C₂×C₄	D₄×D₁₁	1	2	yes	—
320	C₂×C₄	#4341	1	2	yes	—
321	C₂×C₄	C₂³×D₁₁	1	1	yes	characteristic
322	C₈	—	2	2	no	—
323	C₈	—	2	2	no	—
324	C₈	—	11	4	no	—
325	C₈	—	22	2	no	—
326	C₂²	—	2	1	no	—
327	C₂²	—	2	1	no	—
328	C₂²	—	2	1	no	—
329	C₂²	—	2	1	no	—
330	C₂²	—	2	1	no	—
331	C₂²	—	2	1	no	—
332	C₂²	—	2	1	no	—
333	C₂²	—	4	4	no	—
334	C₂²	—	11	2	no	—
335	C₂²	—	22	1	no	—
336	C₂²	—	22	1	no	—
337	C₂²	—	22	1	no	—
338	C₂²	—	22	1	no	—
339	C₂²	—	22	1	no	—
340	C₂²	—	44	4	no	—
341	C₂²	(C₂²⋊D₁₁)⋊C₄	1	2	yes	—
342	C₂²	M₁₆×D₁₁	1	2	yes	complemented
343	C₂²	C₂²×C₄×D₁₁	1	1	yes	characteristic
344	C₄	—	2	1	no	—
345	C₄	—	2	1	no	—
346	C₄	—	11	2	no	—
347	C₄	—	22	1	no	—
348	C₄	—	22	1	no	—
349	C₄	—	22	1	no	—
350	C₄	—	22	1	no	—
351	C₄	—	22	1	no	—
352	C₄	(C₂²⋊D₁₁)⋊C₄	1	2	yes	—
353	C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
354	C₄	C₂×#4341	1	1	yes	characteristic
355	C₂	—	2	2	no	—
356	C₂	—	2	2	no	—
357	C₂	—	4	1	no	—
358	C₂	—	22	2	no	—
359	C₂	—	44	1	no	—
360	C₂	C₂×(C₂²⋊D₁₁)⋊C₄	1	1	yes	characteristic
361	C₂	C₂×M₁₆×D₁₁	1	1	yes	characteristic
362	C₂	#10623276	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂³×D₁₁
commutator, socle	C₂²×C₁₁	C₂³×C₄
Fitting	C₁₁×#407	C₂
prime radical	C₂²×C₂²⋊D₁₁	C₄
cosocle	C₂×C₄×C₁₁	C₂⁴
hypercenter	#407	D₁₁
hypocenter	C₁₁	D₄×M₁₆
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂×C₄ ◁ #407

Complements

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

N	H ≅ G/N	type
2. C₂²×#4318	C₂	semidirect
3. C₂×M₁₆×D₁₁	C₂	semidirect
4. C₁₁×#407	C₂	semidirect
5. #10622739	C₂	semidirect
6. #10622731	C₂	semidirect
7. M₁₆×Dic₁₁	C₂	semidirect
8. #10622343	C₂	semidirect
9. #10622342	C₂	semidirect
10. #10622341	C₂	semidirect
11. (C₂²⋊D₁₁)⋊C₈	C₂	semidirect
32. C₂×#4318	C₂²	semidirect
33. C₂²×C₁₁⋊C₈	C₂²	semidirect
35. C₂×#4313	C₂²	semidirect
36. C₂×C₈×D₁₁	C₂²	semidirect
37. C₁₁×C₂²⋊C₈	C₂²	semidirect
38. C₁₁×C₂²⋊C₈	C₂²	semidirect
39. (C₂×D₁₁)⋊C₈	C₂²	semidirect
40. (C₂×D₁₁)⋊C₈	C₂²	semidirect
41. #66879	C₂²	semidirect
42. Dic₁₁⋊C₈	C₂²	semidirect
43. Dic₁₁⋊C₈	C₂²	semidirect
44. C₈×Dic₁₁	C₂²	semidirect
91. #4318	D₄	semidirect
125. C₂²⋊D₁₁	M₁₆	semidirect
144. C₁₁⋊C₈	C₂×D₄	semidirect
154. #407	D₁₁	semidirect
165. C₂²×C₁₁	C₂×M₁₆	semidirect
173. C₂×D₁₁	C₂×M₁₆	semidirect
184. Dic₁₁	C₂×M₁₆	semidirect
214. C₂²⋊C₈	C₂×D₁₁	semidirect
215. C₂²⋊C₈	C₂×D₁₁	semidirect
278. C₁₁	D₄×M₁₆	semidirect
342. C₂²	M₁₆×D₁₁	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄×C₂²⋊D₁₁	2
C₂²×#4318	2
C₂×M₁₆×D₁₁	2
C₁₁×#407	2
#10622739	2
#10622731	2
M₁₆×Dic₁₁	2
#10622343	2
#10622342	2
#10622341	2
(C₂²⋊D₁₁)⋊C₈	2
D₄×M₁₆	11