Subgroups — #14907493

Order 2816.

502 conjugacy classes of subgroups.

The subgroup lattice has 340 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13070525	C₂	1	1	yes	maximal, characteristic, complemented
2	Q₈×C₁₁⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	#13070448	C₂	1	1	yes	maximal, characteristic, complemented
4	#13070442	C₂	1	2	yes	maximal, complemented
5	D₄×C₁₁⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
6	D₄×C₁₁⋊C₁₆	C₂	1	2	yes	maximal, complemented
7	#13070423	C₂	1	2	yes	maximal, complemented
8	#13070415	C₂	1	1	yes	maximal, characteristic, complemented
9	#13070375	C₂	1	2	yes	maximal, complemented
10	C₂×C₄⋊(C₁₁⋊C₁₆)	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2966	C₂	1	1	yes	maximal, characteristic
12	C₁₁×#529	C₄	1	1	yes	characteristic
13	C₁₁×#446	C₄	1	1	yes	characteristic
14	C₈×Q₈×C₁₁	C₂²	1	1	yes	characteristic
15	C₁₁×#436	C₄	1	1	yes	characteristic
16	C₁₁×#435	C₄	1	2	yes	—
17	C₈×D₄×C₁₁	C₂²	1	2	yes	—
18	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic
19	C₁₁×#433	C₄	1	2	yes	—
20	C₁₁×#432	C₄	1	1	yes	characteristic
21	C₁₁×#405	C₂²	1	2	yes	—
22	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
23	C₂×#66876	C₂²	1	2	yes	—
24	C₂²×C₁₁⋊C₁₆	C₂²	1	2	yes	—
25	C₂²×C₁₁⋊C₁₆	C₂²	1	2	yes	—
26	C₂²⋊(C₁₁⋊C₁₆)	C₂²	1	1	yes	characteristic
27	C₂²⋊(C₁₁⋊C₁₆)	C₂²	1	1	yes	characteristic
28	C₂²⋊(C₁₁⋊C₁₆)	C₂²	1	2	yes	—
29	C₂²⋊(C₁₁⋊C₁₆)	C₂²	1	2	yes	—
30	C₄⋊(C₁₁⋊C₁₆)	C₂²	1	2	yes	—
31	C₄⋊(C₁₁⋊C₁₆)	C₂²	1	1	yes	characteristic
32	C₄⋊(C₁₁⋊C₁₆)	C₂²	1	1	yes	characteristic
33	C₄⋊(C₁₁⋊C₁₆)	C₂²	1	1	yes	characteristic
34	C₄⋊(C₁₁⋊C₁₆)	C₂²	1	2	yes	—
35	C₄⋊(C₁₁⋊C₁₆)	C₂²	1	2	yes	—
36	C₄⋊(C₁₁⋊C₁₆)	C₂²	1	1	yes	characteristic
37	#10622099	C₂²	1	2	yes	—
38	C₄×C₁₁⋊C₁₆	C₂²	1	1	yes	characteristic
39	C₄×C₁₁⋊C₁₆	C₂²	1	1	yes	characteristic
40	C₄×C₁₁⋊C₁₆	C₂²	1	2	yes	—
41	C₂×C₁₁×M₁₆	C₂×C₄	1	2	yes	—
42	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
43	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
44	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
45	C₁₁×#126	C₈	1	2	yes	—
46	C₁₁×#125	C₈	1	1	yes	characteristic
47	C₁₁×#124	C₈	1	1	yes	characteristic
48	C₁₁×#123	C₈	1	2	yes	—
49	C₁₁×C₂²⋊Q₈	C₈	1	1	yes	characteristic
50	C₁₁×#121	C₈	1	1	yes	characteristic
51	C₄×Q₈×C₁₁	C₂×C₄	1	1	yes	characteristic
52	C₄×D₄×C₁₁	C₂×C₄	1	2	yes	—
53	C₄×D₄×C₁₁	C₂×C₄	1	1	yes	characteristic
54	C₁₁×#117	C₂×C₄	1	2	yes	—
55	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
56	C₁₁×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
57	C₁₁×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
58	C₁₁×C₄⋊C₈	C₂×C₄	1	2	yes	—
59	C₁₁×C₄⋊C₈	C₂×C₄	1	2	yes	—
60	C₁₁×C₂²⋊C₈	C₂×C₄	1	2	yes	—
61	C₁₁×C₂²⋊C₈	C₂×C₄	1	2	yes	—
62	C₁₁×C₂²⋊C₈	C₂×C₄	1	2	yes	—
63	C₁₁×#97	C₂×C₄	1	2	yes	—
64	C₁₁×#97	C₂×C₄	1	2	yes	—
65	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
66	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
67	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
68	C₄×C₈×C₁₁	C₂³	1	2	yes	—
69	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
70	#66876	—	4	2	no	—
71	C₂×C₁₁⋊C₁₆	—	4	2	no	—
72	C₂×C₁₁⋊C₁₆	—	4	2	no	—
73	C₂×C₁₁⋊C₁₆	C₂³	1	1	yes	characteristic
74	C₂×C₁₁⋊C₁₆	C₂³	1	1	yes	characteristic
75	C₂×C₁₁⋊C₁₆	C₂³	1	1	yes	characteristic
76	C₂×C₁₁⋊C₁₆	C₂³	1	2	yes	—
77	C₂×C₁₁⋊C₁₆	C₂³	1	1	yes	characteristic
78	C₂×C₁₁⋊C₁₆	C₂³	1	2	yes	—
79	#33508	—	11	1	no	maximal, Sylow
80	C₂×Q₈×C₁₁	C₂×C₈	1	1	yes	characteristic
81	C₂×D₄×C₁₁	C₂×C₈	1	2	yes	—
82	C₂×D₄×C₁₁	C₂×C₈	1	1	yes	characteristic
83	C₂²×C₄×C₁₁	C₂×C₈	1	1	yes	characteristic
84	C₂²×C₄×C₁₁	C₂×C₈	1	1	yes	characteristic
85	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
86	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
87	C₁₁×M₁₆	—	4	2	no	—
88	C₂×C₈×C₁₁	—	2	1	no	—
89	C₂×C₈×C₁₁	—	2	2	no	—
90	C₂×C₈×C₁₁	—	2	1	no	—
91	C₂×C₈×C₁₁	—	2	2	no	—
92	C₂×C₈×C₁₁	—	4	1	no	—
93	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
94	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
95	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
96	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
97	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
98	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
99	C₁₁×C₄⋊C₄	C₂×C₈	1	2	yes	—
100	C₁₁×C₄⋊C₄	C₂×C₈	1	2	yes	—
101	C₁₁×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
102	C₁₁×C₄⋊C₄	C₂×C₈	1	2	yes	—
103	C₁₁×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
104	C₁₁×C₄⋊C₄	C₂×C₈	1	2	yes	—
105	C₁₁×C₂²⋊C₄	C₂×C₈	1	2	yes	—
106	C₁₁×C₂²⋊C₄	C₂×C₈	1	2	yes	—
107	C₁₁×C₂²⋊C₄	C₂×C₈	1	2	yes	—
108	C₁₁×C₂²⋊C₄	C₂×C₈	1	2	yes	—
109	C₁₁×C₂²⋊C₄	C₂×C₈	1	2	yes	—
110	C₄²×C₁₁	C₂×C₈	1	1	yes	characteristic
111	C₄²×C₁₁	C₂×C₈	1	1	yes	characteristic
112	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
113	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
114	C₄²×C₁₁	C₂²×C₄	1	2	yes	—
115	C₁₁⋊C₁₆	—	2	1	no	—
116	C₁₁⋊C₁₆	—	2	2	no	—
117	C₁₁⋊C₁₆	—	2	2	no	—
118	C₁₁⋊C₁₆	—	2	1	no	—
119	C₁₁⋊C₁₆	—	2	1	no	—
120	C₁₁⋊C₁₆	—	2	1	no	—
121	#2966	D₁₁	1	1	yes	characteristic
122	#2183	—	11	1	no	—
123	Q₈×C₁₆	—	11	1	no	—
124	#2169	—	11	1	no	—
125	#2168	—	11	2	no	—
126	D₄×C₁₆	—	11	1	no	—
127	D₄×C₁₆	—	11	2	no	—
128	#2164	—	11	2	no	—
129	#2162	—	11	1	no	—
130	#2151	—	11	2	no	—
131	C₂×C₄⋊C₁₆	—	11	1	no	—
132	C₂³×C₁₁	C₂²×C₈	1	2	yes	—
133	C₂³×C₁₁	C₂²×C₈	1	1	yes	characteristic
134	Q₈×C₁₁	—	2	2	no	—
135	D₄×C₁₁	—	2	4	no	—
136	D₄×C₁₁	—	2	2	no	—
137	C₂×C₄×C₁₁	—	2	2	no	—
138	C₂×C₄×C₁₁	—	2	1	no	—
139	C₂×C₄×C₁₁	—	2	2	no	—
140	C₂×C₄×C₁₁	—	2	1	no	—
141	C₂×C₄×C₁₁	—	2	2	no	—
142	C₂×C₄×C₁₁	—	2	2	no	—
143	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
144	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
145	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
146	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
147	C₂×C₄×C₁₁	C₂²×C₈	1	2	yes	—
148	C₂×C₄×C₁₁	C₂²×C₈	1	2	yes	—
149	C₂×C₄×C₁₁	C₂²×C₈	1	2	yes	—
150	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
151	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
152	C₈×C₁₁	—	2	1	no	—
153	C₈×C₁₁	—	2	2	no	—
154	C₈×C₁₁	—	2	1	no	—
155	C₈×C₁₁	—	2	1	no	—
156	C₈×C₁₁	—	2	2	no	—
157	C₈×C₁₁	H(5,𝔽₂)	1	1	yes	characteristic
158	C₈×C₁₁	2₋¹⁺⁴	1	1	yes	characteristic
159	#529	Dic₁₁	1	1	yes	characteristic
160	C₂×M₃₂	—	11	2	no	—
161	C₂²×C₁₆	—	11	2	no	—
162	C₂²×C₁₆	—	11	2	no	—
163	#446	Dic₁₁	1	1	yes	characteristic
164	C₈×Q₈	C₂×D₁₁	1	1	yes	characteristic
165	#436	Dic₁₁	1	1	yes	characteristic
166	#435	Dic₁₁	1	2	yes	—
167	C₈×D₄	C₂×D₁₁	1	2	yes	—
168	C₈×D₄	C₂×D₁₁	1	1	yes	characteristic
169	#433	Dic₁₁	1	2	yes	—
170	#432	Dic₁₁	1	1	yes	characteristic
171	#405	C₂×D₁₁	1	2	yes	—
172	C₂×C₄×C₈	C₂×D₁₁	1	1	yes	characteristic
173	C₄⋊C₁₆	—	11	2	no	—
174	C₄⋊C₁₆	—	11	1	no	—
175	C₄⋊C₁₆	—	11	1	no	—
176	C₄⋊C₁₆	—	11	1	no	—
177	C₄⋊C₁₆	—	11	2	no	—
178	C₄⋊C₁₆	—	11	2	no	—
179	C₄⋊C₁₆	—	11	1	no	—
180	C₂²⋊C₁₆	—	11	1	no	—
181	C₂²⋊C₁₆	—	11	1	no	—
182	C₂²⋊C₁₆	—	11	2	no	—
183	C₂²⋊C₁₆	—	11	2	no	—
184	#346	—	11	2	no	—
185	C₄×C₁₆	—	11	1	no	—
186	C₄×C₁₆	—	11	1	no	—
187	C₄×C₁₆	—	11	2	no	—
188	C₂²×C₁₁	—	2	1	no	—
189	C₂²×C₁₁	—	2	1	no	—
190	C₂²×C₁₁	—	2	2	no	—
191	C₂²×C₁₁	—	2	2	no	—
192	C₂²×C₁₁	—	2	2	no	—
193	C₂²×C₁₁	#504	1	2	yes	—
194	C₂²×C₁₁	C₂³×C₈	1	1	yes	characteristic
195	C₄×C₁₁	—	2	1	no	—
196	C₄×C₁₁	—	2	1	no	—
197	C₄×C₁₁	—	2	1	no	—
198	C₄×C₁₁	—	2	2	no	—
199	C₄×C₁₁	—	2	2	no	—
200	C₄×C₁₁	—	2	1	no	—
201	C₄×C₁₁	—	2	2	no	—
202	C₄×C₁₁	#504	1	2	yes	—
203	C₄×C₁₁	#520	1	1	yes	characteristic
204	C₄×C₁₁	#568	1	1	yes	characteristic
205	C₂×M₁₆	C₂×Dic₁₁	1	2	yes	—
206	C₂²×C₈	C₂×Dic₁₁	1	1	yes	characteristic
207	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
208	C₂²×C₈	C₂²×D₁₁	1	2	yes	—
209	#126	C₁₁⋊C₈	1	2	yes	—
210	#125	C₁₁⋊C₈	1	1	yes	characteristic
211	#124	C₁₁⋊C₈	1	1	yes	characteristic
212	#123	C₁₁⋊C₈	1	2	yes	—
213	C₂²⋊Q₈	C₁₁⋊C₈	1	1	yes	characteristic
214	#121	C₁₁⋊C₈	1	1	yes	characteristic
215	C₄×Q₈	C₂×Dic₁₁	1	1	yes	characteristic
216	C₄×D₄	C₂×Dic₁₁	1	2	yes	—
217	C₄×D₄	C₂×Dic₁₁	1	1	yes	characteristic
218	#117	C₂×Dic₁₁	1	2	yes	—
219	C₂×C₄²	C₂×Dic₁₁	1	1	yes	characteristic
220	M₃₂	—	44	2	no	—
221	C₂×C₁₆	—	11	1	no	—
222	C₂×C₁₆	—	11	1	no	—
223	C₂×C₁₆	—	11	1	no	—
224	C₂×C₁₆	—	11	2	no	—
225	C₂×C₁₆	—	11	1	no	—
226	C₂×C₁₆	—	11	2	no	—
227	C₂×C₁₆	—	44	2	no	—
228	C₂×C₁₆	—	44	2	no	—
229	C₄⋊C₈	C₂×Dic₁₁	1	1	yes	characteristic
230	C₄⋊C₈	C₂×Dic₁₁	1	1	yes	characteristic
231	C₄⋊C₈	C₂×Dic₁₁	1	2	yes	—
232	C₄⋊C₈	C₂×Dic₁₁	1	2	yes	—
233	C₂²⋊C₈	C₂×Dic₁₁	1	2	yes	—
234	C₂²⋊C₈	C₂×Dic₁₁	1	2	yes	—
235	C₂²⋊C₈	C₂×Dic₁₁	1	2	yes	—
236	#97	C₂×Dic₁₁	1	2	yes	—
237	#97	C₂×Dic₁₁	1	2	yes	—
238	C₄×C₈	C₂×Dic₁₁	1	1	yes	characteristic
239	C₄×C₈	C₂×Dic₁₁	1	1	yes	characteristic
240	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
241	C₄×C₈	C₂²×D₁₁	1	2	yes	—
242	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
243	C₂×C₁₁	—	2	2	no	—
244	C₂×C₁₁	—	4	2	no	—
245	C₂×C₁₁	#2988	1	1	yes	characteristic
246	C₂×C₁₁	C₂×#504	1	1	yes	characteristic
247	C₂×C₁₁	C₂×#504	1	1	yes	characteristic
248	C₂×Q₈	C₂×C₁₁⋊C₈	1	1	yes	characteristic
249	C₂×D₄	C₂×C₁₁⋊C₈	1	2	yes	—
250	C₂×D₄	C₂×C₁₁⋊C₈	1	1	yes	characteristic
251	C₂²×C₄	C₂×C₁₁⋊C₈	1	1	yes	characteristic
252	C₂²×C₄	C₂×C₁₁⋊C₈	1	1	yes	characteristic
253	C₂²×C₄	C₂²×Dic₁₁	1	1	yes	characteristic
254	C₂²×C₄	C₂²×Dic₁₁	1	2	yes	—
255	M₁₆	—	4	2	no	—
256	C₂×C₈	—	2	1	no	—
257	C₂×C₈	—	2	2	no	—
258	C₂×C₈	—	2	1	no	—
259	C₂×C₈	—	2	2	no	—
260	C₂×C₈	—	4	1	no	—
261	C₂×C₈	C₂²×Dic₁₁	1	1	yes	characteristic
262	C₂×C₈	C₂²×Dic₁₁	1	1	yes	characteristic
263	C₂×C₈	C₂²×Dic₁₁	1	2	yes	—
264	C₂×C₈	C₂²×Dic₁₁	1	1	yes	characteristic
265	C₂×C₈	C₂²×Dic₁₁	1	2	yes	—
266	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
267	C₄⋊C₄	C₂×C₁₁⋊C₈	1	2	yes	—
268	C₄⋊C₄	C₂×C₁₁⋊C₈	1	2	yes	—
269	C₄⋊C₄	C₂×C₁₁⋊C₈	1	1	yes	characteristic
270	C₄⋊C₄	C₂×C₁₁⋊C₈	1	2	yes	—
271	C₄⋊C₄	C₂×C₁₁⋊C₈	1	1	yes	characteristic
272	C₄⋊C₄	C₂×C₁₁⋊C₈	1	2	yes	—
273	C₂²⋊C₄	C₂×C₁₁⋊C₈	1	2	yes	—
274	C₂²⋊C₄	C₂×C₁₁⋊C₈	1	2	yes	—
275	C₂²⋊C₄	C₂×C₁₁⋊C₈	1	2	yes	—
276	C₂²⋊C₄	C₂×C₁₁⋊C₈	1	2	yes	—
277	C₂²⋊C₄	C₂×C₁₁⋊C₈	1	2	yes	—
278	C₄²	C₂×C₁₁⋊C₈	1	1	yes	characteristic
279	C₄²	C₂×C₁₁⋊C₈	1	1	yes	characteristic
280	C₄²	C₂²×Dic₁₁	1	1	yes	characteristic
281	C₄²	C₂²×Dic₁₁	1	1	yes	characteristic
282	C₄²	C₂²×Dic₁₁	1	2	yes	—
283	C₁₆	—	22	1	no	—
284	C₁₆	—	22	2	no	—
285	C₁₆	—	22	2	no	—
286	C₁₆	—	22	1	no	—
287	C₁₆	—	22	1	no	—
288	C₁₆	—	22	1	no	—
289	C₁₁	#33508	1	1	yes	characteristic, complemented, Sylow
290	C₂³	C₂²×C₁₁⋊C₈	1	2	yes	—
291	C₂³	C₂²×C₁₁⋊C₈	1	1	yes	characteristic
292	Q₈	—	2	2	no	—
293	D₄	—	2	4	no	—
294	D₄	—	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	2	no	—
299	C₂×C₄	—	2	1	no	—
300	C₂×C₄	—	2	2	no	—
301	C₂×C₄	C₂²×C₁₁⋊C₈	1	1	yes	characteristic
302	C₂×C₄	C₂²×C₁₁⋊C₈	1	1	yes	characteristic
303	C₂×C₄	C₂²×C₁₁⋊C₈	1	1	yes	characteristic
304	C₂×C₄	C₂²×C₁₁⋊C₈	1	1	yes	characteristic
305	C₂×C₄	C₂²×C₁₁⋊C₈	1	2	yes	—
306	C₂×C₄	C₂²×C₁₁⋊C₈	1	2	yes	—
307	C₂×C₄	C₂²×C₁₁⋊C₈	1	2	yes	—
308	C₂×C₄	C₂²×C₁₁⋊C₈	1	1	yes	characteristic
309	C₂×C₄	C₂³×Dic₁₁	1	1	yes	characteristic
310	C₈	—	2	1	no	—
311	C₈	—	2	1	no	—
312	C₈	—	2	2	no	—
313	C₈	—	2	1	no	—
314	C₈	—	2	2	no	—
315	C₈	#67042	1	1	yes	characteristic
316	C₈	#67043	1	1	yes	characteristic
317	C₂²	—	2	1	no	—
318	C₂²	—	2	1	no	—
319	C₂²	—	2	2	no	—
320	C₂²	—	2	2	no	—
321	C₂²	—	2	2	no	—
322	C₂²	#10622753	1	2	yes	—
323	C₂²	C₂³×C₁₁⋊C₈	1	1	yes	characteristic
324	C₄	—	2	1	no	—
325	C₄	—	2	1	no	—
326	C₄	—	2	1	no	—
327	C₄	—	2	2	no	—
328	C₄	—	2	2	no	—
329	C₄	—	2	1	no	—
330	C₄	—	2	2	no	—
331	C₄	#10622753	1	2	yes	—
332	C₄	#10623350	1	1	yes	characteristic
333	C₄	#10623358	1	1	yes	characteristic
334	C₂	—	2	2	no	—
335	C₂	—	4	2	no	—
336	C₂	#13077727	1	1	yes	characteristic
337	C₂	C₂×#10622753	1	1	yes	characteristic
338	C₂	C₂×#10622753	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₈	C₂³×D₁₁
commutator, socle	C₂²×C₁₁	C₂³×C₈
Fitting	C₁₁×#2966	C₂
prime radical	C₁₁×#121	C₈
cosocle	C₂×C₈×C₁₁	C₂⁴
hypercenter	#2966	D₁₁
hypocenter	C₁₁	#33508
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂×C₈ ◁ #2966

Complements

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

N	H ≅ G/N	type
1. #13070525	C₂	semidirect
2. Q₈×C₁₁⋊C₁₆	C₂	semidirect
3. #13070448	C₂	semidirect
4. #13070442	C₂	semidirect
5. D₄×C₁₁⋊C₁₆	C₂	semidirect
6. D₄×C₁₁⋊C₁₆	C₂	semidirect
7. #13070423	C₂	semidirect
8. #13070415	C₂	semidirect
9. #13070375	C₂	semidirect
10. C₂×C₄⋊(C₁₁⋊C₁₆)	C₂	semidirect
289. C₁₁	#33508	semidirect

Maximal subgroups

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

subgroup	index
#13070525	2
Q₈×C₁₁⋊C₁₆	2
#13070448	2
#13070442	2
D₄×C₁₁⋊C₁₆	2
#13070423	2
#13070415	2
#13070375	2
C₂×C₄⋊(C₁₁⋊C₁₆)	2
C₁₁×#2966	2
#33508	11