Subgroups — #14723657

Order 2816.

706 conjugacy classes of subgroups.

The subgroup lattice has 382 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13078620	C₂	1	1	yes	maximal, characteristic
2	C₂×C₈×D₄₄	C₂	1	1	yes	maximal, characteristic
3	#13067450	C₂	1	4	yes	maximal, complemented
4	C₈×#4325	C₂	1	4	yes	maximal, complemented
5	#13067388	C₂	1	1	yes	maximal, characteristic, complemented
6	#13067040	C₂	1	1	yes	maximal, characteristic
7	#13067019	C₂	1	1	yes	maximal, characteristic, complemented
8	#13066899	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2960	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#533	C₂²	1	1	yes	characteristic
11	C₂²×C₈×D₁₁	—	2	1	no	—
12	C₂×C₄×D₄₄	C₂²	1	1	yes	characteristic
13	C₁₁×#446	—	2	1	no	—
14	C₁₁×#446	C₂²	1	2	yes	complemented
15	C₈×Q₈×C₁₁	—	2	1	no	—
16	C₈×Q₈×C₁₁	C₂²	1	2	yes	complemented
17	C₁₁×#424	—	2	1	no	—
18	C₁₁×#423	C₂²	1	1	yes	characteristic
19	C₁₁×#405	—	2	1	no	—
20	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
21	C₂×(C₂×D₁₁)⋊C₈	—	2	1	no	—
22	#10622697	C₄	1	2	yes	—
23	#10622696	C₄	1	2	yes	—
24	#10622659	C₄	1	2	yes	—
25	#10622656	C₄	1	2	yes	—
26	C₄×#4325	C₂²	1	4	yes	—
27	#10622538	C₂²	1	1	yes	characteristic
28	#10622538	C₂²	1	1	yes	characteristic
29	C₂×C₄⋊(C₁₁⋊C₈)	C₂²	1	1	yes	characteristic
30	C₈×D₄₄	—	2	1	no	—
31	C₈×D₄₄	—	2	1	no	—
32	C₈×D₄₄	C₂²	1	2	yes	—
33	C₈×D₄₄	C₂²	1	2	yes	—
34	Q₈⋊(C₁₁⋊C₈)	C₂²	1	4	yes	complemented
35	#10622121	C₂²	1	4	yes	—
36	#10622118	C₂²	1	4	yes	complemented
37	#10622093	C₂²	1	2	yes	complemented
38	C₈×C₁₁⋊C₈	C₂²	1	2	yes	complemented
39	C₂²×D₄₄	C₂×C₄	1	1	yes	characteristic
40	C₂²×C₄×D₁₁	—	2	1	no	—
41	C₂×C₁₁×M₁₆	—	2	1	no	—
42	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
43	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
44	C₁₁×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
45	C₁₁×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
46	C₁₁×#125	—	2	1	no	—
47	C₁₁×C₂²⋊Q₈	—	2	1	no	—
48	C₁₁×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
49	C₄×Q₈×C₁₁	—	2	1	no	—
50	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
51	C₁₁×#117	—	2	1	no	—
52	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
53	C₂×#4325	C₂×C₄	1	4	yes	—
54	C₂×(C₂×D₁₁)⋊C₄	—	2	1	no	—
55	C₂×C₄⋊Dic₁₁	C₂×C₄	1	1	yes	characteristic
56	C₂²×C₁₁⋊C₈	—	2	1	no	—
57	C₂×C₈×D₁₁	—	2	2	no	—
58	C₂×C₈×D₁₁	—	2	2	no	—
59	C₂×C₈×D₁₁	—	4	4	no	—
60	C₄×D₄₄	—	2	1	no	—
61	C₄×D₄₄	—	2	1	no	—
62	C₄×D₄₄	C₂×C₄	1	2	yes	—
63	C₄×D₄₄	C₂³	1	2	yes	—
64	C₁₁×C₄⋊C₈	—	2	2	no	—
65	C₁₁×C₄⋊C₈	—	2	2	no	—
66	C₁₁×C₄⋊C₈	—	2	1	no	—
67	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
68	C₁₁×#97	—	2	2	no	—
69	C₄×C₈×C₁₁	—	2	2	no	—
70	C₄×C₈×C₁₁	D₄	1	1	yes	characteristic
71	C₄×C₈×C₁₁	D₄	1	1	yes	characteristic
72	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
73	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
74	#66899	C₂×C₄	1	4	yes	—
75	C₂²⋊(C₁₁⋊C₈)	—	2	1	no	—
76	C₂²⋊(C₁₁⋊C₈)	C₂×C₄	1	2	yes	—
77	(C₂×D₁₁)⋊C₈	—	2	2	no	—
78	(C₂×D₁₁)⋊C₈	—	2	2	no	—
79	#66873	C₂×C₄	1	4	yes	—
80	#66872	C₂×C₄	1	4	yes	—
81	C₄⋊(C₁₁⋊C₈)	—	2	1	no	—
82	C₄⋊(C₁₁⋊C₈)	—	2	1	no	—
83	C₄⋊(C₁₁⋊C₈)	C₂×C₄	1	2	yes	—
84	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
85	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
86	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
87	#17902	—	11	1	no	maximal, Sylow
88	C₂³×D₁₁	—	2	1	no	—
89	C₂×Q₈×C₁₁	—	2	1	no	—
90	C₂×Q₈×C₁₁	C₂²×C₄	1	2	yes	—
91	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
92	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
94	C₂²×Dic₁₁	—	2	1	no	—
95	C₂×D₄₄	—	2	4	no	—
96	C₂×D₄₄	—	2	1	no	—
97	C₂×D₄₄	C₂²×C₄	1	2	yes	—
98	C₂×C₄×D₁₁	—	2	2	no	—
99	C₂×C₄×D₁₁	—	2	2	no	—
100	C₂×C₄×D₁₁	—	4	2	no	—
101	C₂×C₄×D₁₁	—	4	2	no	—
102	C₁₁×M₁₆	—	4	2	no	—
103	C₂×C₈×C₁₁	—	2	2	no	—
104	C₂×C₈×C₁₁	—	2	2	no	—
105	C₂×C₈×C₁₁	SD₁₆	1	4	yes	complemented
106	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
107	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
108	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
109	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
110	C₁₁×C₄⋊C₄	—	2	1	no	—
111	C₁₁×C₄⋊C₄	—	2	1	no	—
112	C₁₁×C₄⋊C₄	—	2	1	no	—
113	C₁₁×C₄⋊C₄	—	2	2	no	—
114	C₁₁×C₄⋊C₄	—	2	2	no	—
115	C₁₁×C₄⋊C₄	C₂²×C₄	1	2	yes	—
116	C₁₁×C₂²⋊C₄	—	2	2	no	—
117	C₄²×C₁₁	—	2	2	no	—
118	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
119	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
120	C₄²×C₁₁	#41	1	1	yes	characteristic
121	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
122	#4325	—	2	8	no	—
123	(C₂×D₁₁)⋊C₄	—	2	2	no	—
124	(C₂×D₁₁)⋊C₄	—	2	2	no	—
125	C₄⋊Dic₁₁	—	2	1	no	—
126	C₄⋊Dic₁₁	C₂²×C₄	1	2	yes	—
127	C₂×C₁₁⋊C₈	—	2	2	no	—
128	C₂×C₁₁⋊C₈	—	2	2	no	—
129	C₂×C₁₁⋊C₈	—	4	2	no	—
130	C₂×C₁₁⋊C₈	C₂²×C₄	1	4	yes	—
131	C₈×D₁₁	—	4	4	no	—
132	C₈×D₁₁	—	4	4	no	—
133	#3101	—	11	1	no	—
134	#2960	D₁₁	1	1	yes	characteristic, complemented
135	C₂×C₈×D₄	—	11	1	no	—
136	#1582	—	11	4	no	—
137	C₈×SD₁₆	—	11	4	no	—
138	#1570	—	11	1	no	—
139	#1486	—	11	1	no	—
140	#1481	—	11	1	no	—
141	#1450	—	11	1	no	—
142	C₂³×C₁₁	C₄×D₄	1	1	yes	characteristic
143	C₂²×D₁₁	—	2	4	no	—
144	C₂²×D₁₁	—	2	2	no	—
145	C₂²×D₁₁	—	4	2	no	—
146	C₂²×D₁₁	—	4	2	no	—
147	Q₈×C₁₁	—	2	4	no	—
148	Q₈×C₁₁	—	4	2	no	—
149	C₂×C₄×C₁₁	—	2	2	no	—
150	C₂×C₄×C₁₁	—	2	2	no	—
151	C₂×C₄×C₁₁	—	2	2	no	—
152	C₂×C₄×C₁₁	—	4	1	no	—
153	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
154	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
155	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
156	C₂×C₄×C₁₁	C₂×SD₁₆	1	2	yes	—
157	C₂×C₄×C₁₁	#135	1	2	yes	—
158	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
159	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
160	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
161	C₂×Dic₁₁	—	2	2	no	—
162	C₂×Dic₁₁	—	4	2	no	—
163	D₄₄	—	2	4	no	—
164	D₄₄	—	2	2	no	—
165	D₄₄	#131	1	4	yes	—
166	C₄×D₁₁	—	4	2	no	—
167	C₄×D₁₁	—	4	2	no	—
168	C₄×D₁₁	—	4	4	no	—
169	C₈×C₁₁	—	2	1	no	—
170	C₈×C₁₁	—	2	1	no	—
171	C₈×C₁₁	—	4	2	no	—
172	C₈×C₁₁	C₂×SD₁₆	1	2	yes	—
173	C₈×C₁₁	C₂×SD₁₆	1	2	yes	—
174	C₁₁⋊C₈	—	2	4	no	—
175	C₁₁⋊C₈	—	4	2	no	—
176	C₁₁⋊C₈	—	4	2	no	—
177	C₂³×C₈	—	22	1	no	—
178	#533	C₂×D₁₁	1	1	yes	characteristic
179	C₂×C₄×D₄	—	11	1	no	—
180	#483	—	11	2	no	—
181	#476	—	11	2	no	—
182	#461	—	11	2	no	—
183	#450	—	11	2	no	—
184	#446	—	2	1	no	—
185	#446	C₂×D₁₁	1	2	yes	complemented
186	C₈×Q₈	—	2	1	no	—
187	C₈×Q₈	C₂×D₁₁	1	2	yes	complemented
188	C₄×SD₁₆	—	11	4	no	—
189	C₈×D₄	—	11	2	no	—
190	C₈×D₄	—	11	2	no	—
191	C₈×D₄	—	22	1	no	—
192	C₈×D₄	—	22	1	no	—
193	#431	—	11	1	no	—
194	#431	—	11	1	no	—
195	#424	—	2	1	no	—
196	#423	C₂×D₁₁	1	1	yes	characteristic
197	C₂×C₄⋊C₈	—	11	1	no	—
198	C₂×C₂²⋊C₈	—	22	1	no	—
199	#405	—	2	1	no	—
200	C₂×C₄×C₈	C₂×D₁₁	1	1	yes	characteristic
201	#334	—	11	4	no	—
202	Q₈⋊C₈	—	11	4	no	—
203	D₄⋊C₈	—	11	4	no	—
204	#322	—	11	2	no	—
205	C₈²	—	11	2	no	—
206	C₂²×C₁₁	—	2	1	no	—
207	C₂²×C₁₁	—	2	1	no	—
208	C₂²×C₁₁	C₄×SD₁₆	1	2	yes	—
209	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
210	C₂×D₁₁	—	2	4	no	—
211	C₂×D₁₁	—	4	8	no	—
212	C₂×D₁₁	—	4	2	no	—
213	C₂×D₁₁	—	4	2	no	—
214	C₄×C₁₁	—	2	1	no	—
215	C₄×C₁₁	—	2	1	no	—
216	C₄×C₁₁	—	2	1	no	—
217	C₄×C₁₁	—	4	2	no	—
218	C₄×C₁₁	—	4	2	no	—
219	C₄×C₁₁	C₄×SD₁₆	1	2	yes	—
220	C₄×C₁₁	C₂×#131	1	2	yes	—
221	C₄×C₁₁	C₂²×SD₁₆	1	1	yes	characteristic
222	C₄×C₁₁	C₂×#135	1	1	yes	characteristic
223	Dic₁₁	—	4	2	no	—
224	C₂²×D₄	—	11	1	no	—
225	C₂³×C₄	—	22	1	no	—
226	C₂×SD₁₆	—	11	4	no	—
227	C₂×M₁₆	—	2	1	no	—
228	C₂²×C₈	—	22	1	no	—
229	C₂²×C₈	—	22	2	no	—
230	C₂²×C₈	—	22	2	no	—
231	C₂²×C₈	—	44	4	no	—
232	C₂²×C₈	C₂²⋊D₁₁	1	1	yes	characteristic
233	C₂²×C₈	C₂²⋊D₁₁	1	1	yes	characteristic
234	C₄⋊Q₈	C₄×D₁₁	1	1	yes	characteristic
235	C₄⋊Q₈	C₄×D₁₁	1	1	yes	characteristic
236	#125	—	2	1	no	—
237	C₂²⋊Q₈	—	2	1	no	—
238	C₂²⋊Q₈	C₄×D₁₁	1	2	yes	—
239	C₄×Q₈	—	2	1	no	—
240	C₄×Q₈	C₂²×D₁₁	1	2	yes	—
241	C₄×D₄	—	11	2	no	—
242	C₄×D₄	—	11	2	no	—
243	C₄×D₄	—	22	1	no	—
244	C₄×D₄	—	22	1	no	—
245	#117	—	2	1	no	—
246	C₂×C₄⋊C₄	—	11	1	no	—
247	C₂×C₂²⋊C₄	—	22	1	no	—
248	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
249	#106	—	11	4	no	—
250	C₄⋊C₈	—	2	2	no	—
251	C₄⋊C₈	—	2	2	no	—
252	C₄⋊C₈	—	2	1	no	—
253	C₄⋊C₈	—	11	2	no	—
254	C₄⋊C₈	—	11	2	no	—
255	C₄⋊C₈	—	22	1	no	—
256	C₄⋊C₈	—	22	1	no	—
257	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
258	#103	—	11	4	no	—
259	#102	—	11	4	no	—
260	C₂²⋊C₈	—	11	2	no	—
261	C₂²⋊C₈	—	22	1	no	—
262	C₂²⋊C₈	—	22	2	no	—
263	C₂²⋊C₈	—	22	2	no	—
264	#97	—	2	2	no	—
265	C₄×C₈	—	2	2	no	—
266	C₄×C₈	—	11	2	no	—
267	C₄×C₈	—	11	2	no	—
268	C₄×C₈	C₂²⋊D₁₁	1	1	yes	characteristic
269	C₄×C₈	C₂²⋊D₁₁	1	1	yes	characteristic
270	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
271	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
272	C₂×C₁₁	—	2	2	no	—
273	C₂×C₁₁	#2929	1	1	yes	characteristic
274	C₂×C₁₁	C₂×C₄×SD₁₆	1	1	yes	characteristic
275	C₂×C₁₁	#2955	1	1	yes	characteristic
276	D₁₁	—	4	4	no	—
277	C₂⁴	—	22	1	no	—
278	C₂×Q₈	—	2	1	no	—
279	C₂×Q₈	C₂×C₄×D₁₁	1	2	yes	—
280	C₂×D₄	—	11	2	no	—
281	C₂×D₄	—	22	4	no	—
282	C₂×D₄	—	22	1	no	—
283	C₂²×C₄	—	22	1	no	—
284	C₂²×C₄	—	22	2	no	—
285	C₂²×C₄	—	22	2	no	—
286	C₂²×C₄	—	44	2	no	—
287	C₂²×C₄	—	44	2	no	—
288	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
289	C₂²×C₄	#4339	1	1	yes	characteristic
290	C₂²×C₄	C₂×C₂²⋊D₁₁	1	1	yes	characteristic
291	SD₁₆	—	22	8	no	—
292	M₁₆	—	4	2	no	—
293	C₂×C₈	—	2	2	no	—
294	C₂×C₈	—	2	2	no	—
295	C₂×C₈	—	11	4	no	—
296	C₂×C₈	—	22	2	no	—
297	C₂×C₈	—	22	2	no	—
298	C₂×C₈	—	44	2	no	—
299	C₂×C₈	—	44	4	no	—
300	C₂×C₈	—	44	4	no	—
301	C₂×C₈	#4325	1	4	yes	complemented
302	C₂×C₈	C₂×C₂²⋊D₁₁	1	1	yes	characteristic
303	C₂×C₈	C₂×C₂²⋊D₁₁	1	1	yes	characteristic
304	C₂×C₈	C₂×C₂²⋊D₁₁	1	1	yes	characteristic
305	C₂×C₈	C₂×C₂²⋊D₁₁	1	1	yes	characteristic
306	C₄⋊C₄	—	2	1	no	—
307	C₄⋊C₄	—	2	1	no	—
308	C₄⋊C₄	—	2	1	no	—
309	C₄⋊C₄	—	2	2	no	—
310	C₄⋊C₄	—	2	2	no	—
311	C₄⋊C₄	—	11	2	no	—
312	C₄⋊C₄	—	22	1	no	—
313	C₄⋊C₄	C₂×C₄×D₁₁	1	2	yes	—
314	C₂²⋊C₄	—	2	2	no	—
315	C₂²⋊C₄	—	22	2	no	—
316	C₂²⋊C₄	—	22	2	no	—
317	C₄²	—	2	2	no	—
318	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
319	C₄²	#4339	1	1	yes	characteristic
320	C₄²	C₂×C₂²⋊D₁₁	1	1	yes	characteristic
321	C₄²	C₂³×D₁₁	1	1	yes	characteristic
322	C₁₁	#17902	1	1	yes	characteristic, complemented, Sylow
323	C₂³	—	22	4	no	—
324	C₂³	—	22	2	no	—
325	C₂³	—	44	2	no	—
326	C₂³	—	44	2	no	—
327	C₂³	C₄×C₂²⋊D₁₁	1	1	yes	characteristic
328	Q₈	—	2	4	no	—
329	Q₈	—	4	2	no	—
330	D₄	—	11	4	no	—
331	D₄	—	22	4	no	—
332	D₄	—	22	2	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	2	2	no	—
335	C₂×C₄	—	2	2	no	—
336	C₂×C₄	—	4	1	no	—
337	C₂×C₄	—	22	2	no	—
338	C₂×C₄	—	44	2	no	—
339	C₂×C₄	—	44	2	no	—
340	C₂×C₄	—	44	2	no	—
341	C₂×C₄	—	44	4	no	—
342	C₂×C₄	C₄×C₂²⋊D₁₁	1	1	yes	characteristic
343	C₂×C₄	C₄×C₂²⋊D₁₁	1	1	yes	characteristic
344	C₂×C₄	C₄×C₂²⋊D₁₁	1	1	yes	characteristic
345	C₂×C₄	C₂×#4325	1	2	yes	—
346	C₂×C₄	#67003	1	2	yes	—
347	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
348	C₂×C₄	C₂×#4339	1	1	yes	characteristic
349	C₂×C₄	C₂²×C₂²⋊D₁₁	1	1	yes	characteristic
350	C₈	—	2	1	no	—
351	C₈	—	2	1	no	—
352	C₈	—	4	2	no	—
353	C₈	—	22	4	no	—
354	C₈	—	44	2	no	—
355	C₈	—	44	2	no	—
356	C₈	C₂×#4325	1	2	yes	—
357	C₈	C₂×#4325	1	2	yes	—
358	C₂²	—	2	1	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	22	4	no	—
361	C₂²	—	44	8	no	—
362	C₂²	—	44	2	no	—
363	C₂²	—	44	2	no	—
364	C₂²	C₄×#4325	1	2	yes	—
365	C₂²	C₂×C₄×C₂²⋊D₁₁	1	1	yes	characteristic
366	C₄	—	2	1	no	—
367	C₄	—	2	1	no	—
368	C₄	—	2	1	no	—
369	C₄	—	4	2	no	—
370	C₄	—	4	2	no	—
371	C₄	—	44	2	no	—
372	C₄	C₄×#4325	1	2	yes	—
373	C₄	D₁₁×#131	1	2	yes	—
374	C₄	C₂²×#4325	1	1	yes	characteristic
375	C₄	C₂×#67003	1	1	yes	characteristic
376	C₂	—	2	2	no	—
377	C₂	—	44	4	no	—
378	C₂	#13077308	1	1	yes	characteristic
379	C₂	C₂×C₄×#4325	1	1	yes	characteristic
380	C₂	#13077517	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₈	C₂×C₂²⋊D₁₁
commutator	C₂×C₄×C₁₁	C₂³×C₄
Frattini	C₄²	C₂³×D₁₁
Fitting	C₁₁×#2960	C₂
socle	C₂²×C₁₁	C₂×C₄×D₄
prime radical	C₂²×D₄₄	C₂×C₄
cosocle	C₄²×C₁₁	C₂⁴
hypercenter	#2960	D₁₁
hypocenter	C₁₁	#17902
LCS	G ▷ C₂×C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂×C₈ ◁ C₂×C₄×C₈ ◁ #2960

Complements

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

N	H ≅ G/N	type
3. #13067450	C₂	semidirect
4. C₈×#4325	C₂	semidirect
5. #13067388	C₂	semidirect
7. #13067019	C₂	semidirect
8. #13066899	C₂	semidirect
9. C₁₁×#2960	C₂	semidirect
14. C₁₁×#446	C₂²	semidirect
16. C₈×Q₈×C₁₁	C₂²	semidirect
34. Q₈⋊(C₁₁⋊C₈)	C₂²	semidirect
36. #10622118	C₂²	semidirect
37. #10622093	C₂²	semidirect
38. C₈×C₁₁⋊C₈	C₂²	semidirect
105. C₂×C₈×C₁₁	SD₁₆	semidirect
134. #2960	D₁₁	semidirect
185. #446	C₂×D₁₁	semidirect
187. C₈×Q₈	C₂×D₁₁	semidirect
301. C₂×C₈	#4325	semidirect
322. C₁₁	#17902	semidirect

Maximal subgroups

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

subgroup	index
#13078620	2
C₂×C₈×D₄₄	2
#13067450	2
C₈×#4325	2
#13067388	2
#13067040	2
#13067019	2
#13066899	2
C₁₁×#2960	2
#17902	11