Subgroups — #14723237

Order 2816.

730 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	#13077696	C₂	1	1	yes	maximal, characteristic, complemented
2	#13077639	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×#4314	C₂	1	1	yes	maximal, characteristic
4	#13067427	C₂	1	4	yes	maximal, complemented
5	#13067415	C₂	1	4	yes	maximal, complemented
6	#13067010	C₂	1	1	yes	maximal, characteristic, complemented
7	#13067006	C₂	1	1	yes	maximal, characteristic
8	#13066899	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#1564	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×#4314	C₄	1	1	yes	characteristic
11	C₂×C₄×D₄₄	C₂²	1	1	yes	characteristic
12	C₂×C₄×Dic₂₂	C₂²	1	1	yes	characteristic
13	C₁₁×#431	C₂²	1	1	yes	characteristic
14	C₁₁×#431	C₂²	1	1	yes	characteristic
15	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
16	C₂×#66885	C₄	1	1	yes	characteristic
17	C₂×#66881	C₄	1	1	yes	characteristic
18	C₂×#66880	C₄	1	1	yes	characteristic
19	#10622538	C₂²	1	1	yes	characteristic
20	#10622538	C₂²	1	1	yes	characteristic
21	#10622447	C₂²	1	4	yes	—
22	#10622443	C₂²	1	4	yes	complemented
23	D₁₁×C₂²⋊C₈	—	2	2	no	—
24	#10622331	—	2	2	no	—
25	C₄×#4314	C₄	1	2	yes	—
26	C₄×#4314	C₄	1	2	yes	—
27	C₄×#4314	C₂²	1	2	yes	—
28	C₄×#4314	C₂²	1	2	yes	—
29	C₈×D₄₄	—	2	2	no	—
30	C₈×Dic₂₂	—	2	2	no	—
31	C₁₁×#335	C₂²	1	2	yes	complemented
32	C₁₁×#334	C₂²	1	2	yes	complemented
33	#10622122	C₂²	1	4	yes	complemented
34	#10622121	C₂²	1	4	yes	—
35	#10622093	C₂²	1	2	yes	complemented
36	C₈×C₁₁⋊C₈	C₂²	1	2	yes	complemented
37	C₂²×D₄₄	C₂×C₄	1	1	yes	characteristic
38	C₂²×C₄×D₁₁	—	2	1	no	—
39	C₂²×Dic₂₂	C₂×C₄	1	1	yes	characteristic
40	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
41	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
42	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
43	C₂×(C₂×D₁₁)⋊C₄	—	2	1	no	—
44	C₂×C₄⋊Dic₁₁	C₂×C₄	1	1	yes	characteristic
45	C₂×C₄⋊Dic₁₁	C₂×C₄	1	1	yes	characteristic
46	C₂×Dic₁₁⋊C₄	—	2	1	no	—
47	C₂×C₄×Dic₁₁	—	2	1	no	—
48	C₂×#4314	C₈	1	8	yes	complemented
49	C₂×#4314	C₂×C₄	1	2	yes	—
50	C₂×#4314	C₂×C₄	1	2	yes	—
51	C₂×C₈×D₁₁	—	2	4	no	—
52	C₄×D₄₄	—	2	1	no	—
53	C₄×D₄₄	—	2	1	no	—
54	C₄×D₄₄	C₂×C₄	1	2	yes	—
55	C₄×D₄₄	C₂³	1	2	yes	—
56	C₄×Dic₂₂	—	2	1	no	—
57	C₄×Dic₂₂	—	2	1	no	—
58	C₄×Dic₂₂	C₂×C₄	1	2	yes	—
59	C₄×Dic₂₂	C₂³	1	2	yes	—
60	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
61	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
62	C₁₁×C₂²⋊C₈	—	2	1	no	—
63	C₁₁×C₂²⋊C₈	—	2	1	no	—
64	C₄×C₈×C₁₁	—	2	1	no	—
65	C₄×C₈×C₁₁	—	2	1	no	—
66	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
67	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
68	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
69	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
70	C₂²⋊(C₁₁⋊C₈)	—	2	1	no	—
71	C₂²⋊(C₁₁⋊C₈)	D₄	1	2	yes	—
72	#66885	C₂×C₄	1	2	yes	—
73	#66885	C₂×C₄	1	2	yes	—
74	(C₂×D₁₁)⋊C₈	—	2	4	no	—
75	#66881	C₂×C₄	1	2	yes	—
76	#66881	C₂×C₄	1	2	yes	—
77	#66880	C₂×C₄	1	2	yes	—
78	#66880	C₂×C₄	1	2	yes	—
79	Dic₁₁⋊C₈	—	2	4	no	—
80	C₈×Dic₁₁	—	2	4	no	—
81	C₄⋊(C₁₁⋊C₈)	—	2	1	no	—
82	C₄⋊(C₁₁⋊C₈)	D₄	1	2	yes	—
83	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
84	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
85	#17855	—	11	1	no	maximal, Sylow
86	C₂³×D₁₁	—	2	1	no	—
87	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
88	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
89	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
90	C₂²×Dic₁₁	—	2	1	no	—
91	C₂²×Dic₁₁	—	2	1	no	—
92	C₂²×Dic₁₁	—	2	1	no	—
93	C₂×D₄₄	—	2	1	no	—
94	C₂×D₄₄	—	2	2	no	—
95	C₂×D₄₄	C₂×C₈	1	4	yes	—
96	C₂×D₄₄	C₂²×C₄	1	2	yes	—
97	C₂×C₄×D₁₁	—	2	2	no	—
98	C₂×C₄×D₁₁	—	2	2	no	—
99	C₂×C₄×D₁₁	—	8	2	no	—
100	C₂×Dic₂₂	—	2	1	no	—
101	C₂×Dic₂₂	—	2	2	no	—
102	C₂×Dic₂₂	C₂×C₈	1	4	yes	complemented
103	C₂×Dic₂₂	C₂²×C₄	1	2	yes	—
104	C₂×C₈×C₁₁	—	2	2	no	—
105	C₂×C₈×C₁₁	—	2	2	no	—
106	C₂×C₈×C₁₁	—	2	2	no	—
107	C₂×C₈×C₁₁	C₂×C₈	1	4	yes	complemented
108	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
109	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
110	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
111	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
112	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
113	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
114	C₄²×C₁₁	#41	1	1	yes	characteristic
115	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
116	(C₂×D₁₁)⋊C₄	—	2	2	no	—
117	(C₂×D₁₁)⋊C₄	—	2	2	no	—
118	C₄⋊Dic₁₁	—	2	1	no	—
119	C₄⋊Dic₁₁	—	2	1	no	—
120	C₄⋊Dic₁₁	C₂²×C₄	1	2	yes	—
121	C₄⋊Dic₁₁	C₂²×C₄	1	2	yes	—
122	Dic₁₁⋊C₄	—	2	2	no	—
123	Dic₁₁⋊C₄	—	2	2	no	—
124	C₄×Dic₁₁	—	2	2	no	—
125	C₄×Dic₁₁	—	2	2	no	—
126	C₂×C₁₁⋊C₈	—	2	2	no	—
127	C₂×C₁₁⋊C₈	C₂×D₄	1	4	yes	—
128	#4314	C₂×C₈	1	8	yes	complemented
129	#4314	C₂×C₈	1	8	yes	complemented
130	C₈×D₁₁	—	8	4	no	—
131	#2982	—	11	1	no	—
132	#2972	—	11	1	no	—
133	C₂×C₄×SD₁₆	—	11	1	no	—
134	SD₁₆⋊C₈	—	11	4	no	—
135	C₈×SD₁₆	—	11	4	no	—
136	#1564	D₁₁	1	1	yes	characteristic, complemented
137	#1479	—	11	1	no	—
138	#1478	—	11	1	no	—
139	#1450	—	11	1	no	—
140	C₂³×C₁₁	C₄×D₄	1	1	yes	characteristic
141	C₂²×D₁₁	—	2	2	no	—
142	C₂²×D₁₁	—	2	4	no	—
143	C₂²×D₁₁	—	8	1	no	—
144	C₂²×D₁₁	—	8	1	no	—
145	C₂×C₄×C₁₁	—	2	2	no	—
146	C₂×C₄×C₁₁	—	4	1	no	—
147	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
148	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
149	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
150	C₂×C₄×C₁₁	C₂²×C₈	1	2	yes	—
151	C₂×C₄×C₁₁	#131	1	2	yes	—
152	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
153	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
154	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
155	C₂×Dic₁₁	—	2	2	no	—
156	C₂×Dic₁₁	—	2	4	no	—
157	C₂×Dic₁₁	—	2	2	no	—
158	C₂×Dic₁₁	—	2	2	no	—
159	C₂×Dic₁₁	—	8	1	no	—
160	C₂×Dic₁₁	—	8	1	no	—
161	D₄₄	—	2	2	no	—
162	D₄₄	—	2	4	no	—
163	D₄₄	C₂²×C₈	1	4	yes	—
164	C₄×D₁₁	—	4	4	no	—
165	C₄×D₁₁	—	8	2	no	—
166	Dic₂₂	—	2	2	no	—
167	Dic₂₂	—	2	4	no	—
168	Dic₂₂	C₂²×C₈	1	4	yes	—
169	C₈×C₁₁	—	2	1	no	—
170	C₈×C₁₁	—	2	1	no	—
171	C₈×C₁₁	—	4	2	no	—
172	C₈×C₁₁	—	4	2	no	—
173	C₈×C₁₁	C₂²×C₈	1	2	yes	—
174	C₈×C₁₁	C₂²×C₈	1	2	yes	—
175	C₁₁⋊C₈	—	2	4	no	—
176	C₁₁⋊C₈	—	4	2	no	—
177	C₂²×SD₁₆	—	11	1	no	—
178	C₂×C₄×Q₈	—	11	1	no	—
179	C₂×C₄×D₄	—	11	1	no	—
180	C₈×Q₈	—	11	4	no	—
181	C₈×Q₈	—	22	2	no	—
182	C₄×SD₁₆	—	11	2	no	—
183	C₄×SD₁₆	—	11	2	no	—
184	C₄×SD₁₆	—	11	2	no	—
185	C₄×SD₁₆	—	11	2	no	—
186	C₈×D₄	—	11	4	no	—
187	C₈×D₄	—	22	2	no	—
188	#431	—	11	1	no	—
189	#431	—	11	1	no	—
190	#431	—	22	2	no	—
191	#431	C₂×D₁₁	1	1	yes	characteristic
192	#431	C₂×D₁₁	1	1	yes	characteristic
193	C₂×#106	—	11	1	no	—
194	C₂×#103	—	11	1	no	—
195	C₂×#102	—	11	1	no	—
196	C₂×C₂²⋊C₈	—	22	2	no	—
197	C₂×C₄×C₈	C₂×D₁₁	1	1	yes	characteristic
198	#335	C₂×D₁₁	1	2	yes	complemented
199	#334	C₂×D₁₁	1	2	yes	complemented
200	Q₈⋊C₈	—	11	4	no	—
201	D₄⋊C₈	—	11	4	no	—
202	#322	—	11	2	no	—
203	C₈²	—	11	2	no	—
204	C₂²×C₁₁	—	2	1	no	—
205	C₂²×C₁₁	—	2	1	no	—
206	C₂²×C₁₁	C₈×D₄	1	2	yes	—
207	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
208	C₂×D₁₁	—	2	4	no	—
209	C₂×D₁₁	—	4	2	no	—
210	C₂×D₁₁	—	4	2	no	—
211	C₂×D₁₁	—	8	4	no	—
212	C₄×C₁₁	—	2	1	no	—
213	C₄×C₁₁	—	2	1	no	—
214	C₄×C₁₁	—	2	1	no	—
215	C₄×C₁₁	C₈×D₄	1	2	yes	—
216	C₄×C₁₁	C₂³×C₈	1	1	yes	characteristic
217	C₄×C₁₁	C₂×#131	1	1	yes	characteristic
218	C₄×C₁₁	#577	1	2	yes	—
219	Dic₁₁	—	2	4	no	—
220	Dic₁₁	—	4	2	no	—
221	Dic₁₁	—	4	2	no	—
222	C₂²×Q₈	—	11	1	no	—
223	C₂²×D₄	—	11	1	no	—
224	C₂³×C₄	—	22	1	no	—
225	C₂×SD₁₆	—	11	8	no	—
226	C₂×SD₁₆	—	11	2	no	—
227	C₂×SD₁₆	—	11	2	no	—
228	C₂²×C₈	—	22	4	no	—
229	C₂²×C₈	C₄×D₁₁	1	1	yes	characteristic
230	C₂²×C₈	C₄×D₁₁	1	1	yes	characteristic
231	C₄×Q₈	—	11	2	no	—
232	C₄×Q₈	—	11	2	no	—
233	C₄×Q₈	—	22	1	no	—
234	C₄×Q₈	—	22	1	no	—
235	C₄×D₄	—	11	2	no	—
236	C₄×D₄	—	11	2	no	—
237	C₄×D₄	—	22	1	no	—
238	C₄×D₄	—	22	1	no	—
239	C₂×C₄⋊C₄	—	11	1	no	—
240	C₂×C₄⋊C₄	—	11	1	no	—
241	C₂×C₄⋊C₄	—	22	1	no	—
242	C₂×C₂²⋊C₄	—	22	1	no	—
243	C₂×C₄²	—	22	1	no	—
244	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
245	#106	—	11	2	no	—
246	#106	—	11	2	no	—
247	C₄⋊C₈	—	11	2	no	—
248	C₄⋊C₈	—	22	4	no	—
249	C₄⋊C₈	—	22	1	no	—
250	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
251	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
252	#103	—	11	2	no	—
253	#103	—	11	2	no	—
254	#102	—	11	2	no	—
255	#102	—	11	2	no	—
256	C₂²⋊C₈	—	2	1	no	—
257	C₂²⋊C₈	—	2	1	no	—
258	C₂²⋊C₈	—	11	2	no	—
259	C₂²⋊C₈	—	22	4	no	—
260	C₂²⋊C₈	—	22	1	no	—
261	C₄×C₈	—	2	1	no	—
262	C₄×C₈	—	2	1	no	—
263	C₄×C₈	—	11	2	no	—
264	C₄×C₈	—	11	2	no	—
265	C₄×C₈	—	22	4	no	—
266	C₄×C₈	C₄×D₁₁	1	1	yes	characteristic
267	C₄×C₈	C₄×D₁₁	1	1	yes	characteristic
268	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
269	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
270	C₂×C₁₁	—	2	2	no	—
271	C₂×C₁₁	C₂×C₈×D₄	1	1	yes	characteristic
272	C₂×C₁₁	#2949	1	1	yes	characteristic
273	C₂×C₁₁	#2957	1	1	yes	characteristic
274	D₁₁	—	4	4	no	—
275	C₂⁴	—	22	1	no	—
276	C₂×Q₈	—	11	4	no	—
277	C₂×Q₈	—	11	2	no	—
278	C₂×Q₈	—	22	1	no	—
279	C₂×Q₈	—	22	2	no	—
280	C₂×D₄	—	11	4	no	—
281	C₂×D₄	—	11	2	no	—
282	C₂×D₄	—	22	1	no	—
283	C₂×D₄	—	22	2	no	—
284	C₂²×C₄	—	22	1	no	—
285	C₂²×C₄	—	22	1	no	—
286	C₂²×C₄	—	22	1	no	—
287	C₂²×C₄	—	22	2	no	—
288	C₂²×C₄	—	22	2	no	—
289	C₂²×C₄	—	88	2	no	—
290	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
291	C₂²×C₄	D₄×D₁₁	1	1	yes	characteristic
292	C₂²×C₄	#4343	1	1	yes	characteristic
293	SD₁₆	—	11	8	no	—
294	SD₁₆	—	11	8	no	—
295	C₂×C₈	—	2	2	no	—
296	C₂×C₈	—	2	2	no	—
297	C₂×C₈	—	2	2	no	—
298	C₂×C₈	—	11	4	no	—
299	C₂×C₈	—	22	2	no	—
300	C₂×C₈	—	88	4	no	—
301	C₂×C₈	C₈×D₁₁	1	4	yes	complemented
302	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
303	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
304	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
305	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
306	C₄⋊C₄	—	11	2	no	—
307	C₄⋊C₄	—	11	2	no	—
308	C₄⋊C₄	—	22	1	no	—
309	C₄⋊C₄	—	22	1	no	—
310	C₄⋊C₄	—	22	2	no	—
311	C₄⋊C₄	—	22	2	no	—
312	C₂²⋊C₄	—	22	2	no	—
313	C₂²⋊C₄	—	22	2	no	—
314	C₄²	—	22	2	no	—
315	C₄²	—	22	2	no	—
316	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
317	C₄²	D₄×D₁₁	1	1	yes	characteristic
318	C₄²	#4343	1	1	yes	characteristic
319	C₄²	C₂³×D₁₁	1	1	yes	characteristic
320	C₁₁	#17855	1	1	yes	characteristic, complemented, Sylow
321	C₂³	—	22	2	no	—
322	C₂³	—	22	4	no	—
323	C₂³	—	88	1	no	—
324	C₂³	—	88	1	no	—
325	C₂³	#66946	1	1	yes	characteristic
326	Q₈	—	11	4	no	—
327	Q₈	—	22	2	no	—
328	Q₈	—	22	4	no	—
329	D₄	—	11	4	no	—
330	D₄	—	22	2	no	—
331	D₄	—	22	4	no	—
332	C₂×C₄	—	2	2	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	22	2	no	—
335	C₂×C₄	—	22	4	no	—
336	C₂×C₄	—	22	2	no	—
337	C₂×C₄	—	22	2	no	—
338	C₂×C₄	—	44	4	no	—
339	C₂×C₄	—	88	2	no	—
340	C₂×C₄	—	88	1	no	—
341	C₂×C₄	—	88	1	no	—
342	C₂×C₄	#66946	1	1	yes	characteristic
343	C₂×C₄	#66946	1	1	yes	characteristic
344	C₂×C₄	#66946	1	1	yes	characteristic
345	C₂×C₄	C₂×C₈×D₁₁	1	2	yes	—
346	C₂×C₄	#66960	1	2	yes	—
347	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
348	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
349	C₂×C₄	C₂×#4343	1	1	yes	characteristic
350	C₈	—	2	1	no	—
351	C₈	—	2	1	no	—
352	C₈	—	4	2	no	—
353	C₈	—	4	2	no	—
354	C₈	—	22	4	no	—
355	C₈	—	44	2	no	—
356	C₈	C₂×C₈×D₁₁	1	2	yes	—
357	C₈	C₂×C₈×D₁₁	1	2	yes	—
358	C₂²	—	2	1	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	22	4	no	—
361	C₂²	—	44	2	no	—
362	C₂²	—	44	2	no	—
363	C₂²	—	88	4	no	—
364	C₂²	#10622447	1	2	yes	—
365	C₂²	C₂×#66946	1	1	yes	characteristic
366	C₄	—	2	1	no	—
367	C₄	—	2	1	no	—
368	C₄	—	2	1	no	—
369	C₄	—	22	4	no	—
370	C₄	—	44	2	no	—
371	C₄	—	44	2	no	—
372	C₄	#10622447	1	2	yes	—
373	C₄	C₂²×C₈×D₁₁	1	1	yes	characteristic
374	C₄	C₂×#66960	1	1	yes	characteristic
375	C₄	#10623301	1	2	yes	—
376	C₂	—	2	2	no	—
377	C₂	—	44	4	no	—
378	C₂	C₂×#10622447	1	1	yes	characteristic
379	C₂	#13077474	1	1	yes	characteristic
380	C₂	#13077532	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₁
commutator	C₄×C₁₁	C₂³×C₈
Frattini	C₄²	C₂³×D₁₁
Fitting	C₁₁×#1564	C₂
socle	C₂²×C₁₁	C₂×C₄×D₄
prime radical	C₂²×D₄₄	C₂×C₄
cosocle	C₄²×C₁₁	C₂⁴
hypercenter	#1564	D₁₁
hypocenter	C₁₁	#17855
LCS	G ▷ C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1564

Complements

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

N	H ≅ G/N	type
1. #13077696	C₂	semidirect
4. #13067427	C₂	semidirect
5. #13067415	C₂	semidirect
6. #13067010	C₂	semidirect
8. #13066899	C₂	semidirect
9. C₁₁×#1564	C₂	semidirect
22. #10622443	C₂²	semidirect
31. C₁₁×#335	C₂²	semidirect
32. C₁₁×#334	C₂²	semidirect
33. #10622122	C₂²	semidirect
35. #10622093	C₂²	semidirect
36. C₈×C₁₁⋊C₈	C₂²	semidirect
48. C₂×#4314	C₈	semidirect
102. C₂×Dic₂₂	C₂×C₈	semidirect
107. C₂×C₈×C₁₁	C₂×C₈	semidirect
128. #4314	C₂×C₈	semidirect
129. #4314	C₂×C₈	semidirect
136. #1564	D₁₁	semidirect
198. #335	C₂×D₁₁	semidirect
199. #334	C₂×D₁₁	semidirect
301. C₂×C₈	C₈×D₁₁	semidirect
320. C₁₁	#17855	semidirect

Maximal subgroups

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

subgroup	index
#13077696	2
#13077639	2
C₂×C₄×#4314	2
#13067427	2
#13067415	2
#13067010	2
#13067006	2
#13066899	2
C₁₁×#1564	2
#17855	11