Subgroups — C₁₁×#22832 #14600025

Order 2816.

716 conjugacy classes of subgroups.

The subgroup lattice has 350 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄²×Q₈×C₁₁	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#1984	C₂	1	2	yes	maximal
3	C₁₁×#1917	C₂	1	4	yes	maximal
4	C₁₁×#1839	C₂	1	2	yes	maximal
5	C₁₁×#1831	C₂	1	1	yes	maximal, characteristic
6	C₁₁×#1770	C₂	1	2	yes	maximal
7	C₄×C₁₁×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
8	C₁₁×#1745	C₂	1	2	yes	maximal
9	C₂×C₄×Q₈×C₁₁	C₄	1	1	yes	characteristic
10	C₂×C₄×Q₈×C₁₁	C₄	1	1	yes	characteristic
11	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
12	C₂×C₁₁×C₄⋊C₈	C₂²	1	2	yes	—
13	C₂×C₁₁×C₄⋊C₈	C₂²	1	2	yes	—
14	C₂×C₁₁×#97	C₂²	1	4	yes	—
15	C₂×C₄×C₈×C₁₁	C₂²	1	2	yes	—
16	C₄×C₁₁×C₄⋊C₄	C₄	1	1	yes	characteristic
17	C₄×C₁₁×C₄⋊C₄	C₄	1	2	yes	—
18	C₄×C₁₁×C₄⋊C₄	C₄	1	2	yes	—
19	C₄×C₁₁×C₄⋊C₄	C₄	1	1	yes	characteristic
20	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
21	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
22	C₄³×C₁₁	C₂²	1	2	yes	—
23	C₄³×C₁₁	C₂²	1	1	yes	characteristic
24	C₁₁×#336	C₂²	1	2	yes	—
25	C₁₁×#336	C₂²	1	4	yes	—
26	C₁₁×#336	C₂²	1	4	yes	—
27	C₁₁×#336	C₂²	1	4	yes	—
28	C₁₁×#336	C₂²	1	1	yes	characteristic
29	C₁₁×#336	C₂²	1	2	yes	—
30	C₁₁×#336	C₂²	1	1	yes	characteristic
31	C₂²×Q₈×C₁₁	C₂×C₄	1	1	yes	characteristic
32	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
33	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
34	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
35	C₄×Q₈×C₁₁	—	2	4	no	—
36	C₄×Q₈×C₁₁	—	2	4	no	—
37	C₄×Q₈×C₁₁	—	2	2	no	—
38	C₄×Q₈×C₁₁	—	2	2	no	—
39	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
40	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
41	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
42	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
43	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
44	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
45	C₂×C₄²×C₁₁	C₂×C₄	1	2	yes	—
46	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
47	C₂×C₄²×C₁₁	C₂×C₄	1	2	yes	—
48	C₂×C₄²×C₁₁	C₂×C₄	1	2	yes	—
49	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
50	C₂×C₄²×C₁₁	C₂×C₄	1	2	yes	—
51	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
52	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
53	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
54	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
55	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
56	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
57	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
58	C₁₁×C₄⋊C₈	—	2	4	no	—
59	C₁₁×C₄⋊C₈	—	2	4	no	—
60	C₁₁×#97	—	2	8	no	—
61	C₄×C₈×C₁₁	—	2	4	no	—
62	C₁₁×#95	C₂×C₄	1	2	yes	—
63	C₁₁×#95	C₂×C₄	1	2	yes	—
64	C₁₁×#95	C₂×C₄	1	2	yes	—
65	#22832	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
66	C₂×Q₈×C₁₁	—	2	2	no	—
67	C₂×Q₈×C₁₁	—	2	2	no	—
68	C₂×Q₈×C₁₁	M₁₆	1	4	yes	—
69	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
70	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
71	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
72	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
73	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
74	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
75	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
76	C₂²×C₄×C₁₁	C₂²×C₄	1	2	yes	—
77	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
78	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
79	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
80	C₂×C₈×C₁₁	—	2	2	no	—
81	C₂×C₈×C₁₁	—	2	2	no	—
82	C₂×C₈×C₁₁	—	2	4	no	—
83	C₂×C₈×C₁₁	—	2	2	no	—
84	C₂×C₈×C₁₁	—	2	4	no	—
85	C₂×C₈×C₁₁	—	2	2	no	—
86	C₂×C₈×C₁₁	—	2	2	no	—
87	C₂×C₈×C₁₁	—	2	4	no	—
88	C₂×C₈×C₁₁	#41	1	4	yes	—
89	C₁₁×C₄⋊C₄	—	2	4	no	—
90	C₁₁×C₄⋊C₄	—	2	2	no	—
91	C₁₁×C₄⋊C₄	—	2	4	no	—
92	C₁₁×C₄⋊C₄	—	2	4	no	—
93	C₁₁×C₄⋊C₄	—	2	2	no	—
94	C₁₁×C₄⋊C₄	—	2	2	no	—
95	C₄²×C₁₁	—	2	4	no	—
96	C₄²×C₁₁	—	2	2	no	—
97	C₄²×C₁₁	—	2	4	no	—
98	C₄²×C₁₁	—	2	2	no	—
99	C₄²×C₁₁	—	2	4	no	—
100	C₄²×C₁₁	—	2	4	no	—
101	C₄²×C₁₁	—	2	2	no	—
102	C₄²×C₁₁	—	2	2	no	—
103	C₄²×C₁₁	—	2	2	no	—
104	C₄²×C₁₁	—	2	2	no	—
105	C₄²×C₁₁	—	4	1	no	—
106	C₄²×C₁₁	—	4	2	no	—
107	C₄²×C₁₁	M₁₆	1	4	yes	—
108	C₄²×C₁₁	#41	1	2	yes	—
109	C₄²×C₁₁	#41	1	2	yes	—
110	C₄²×Q₈	C₂×C₁₁	1	1	yes	characteristic
111	#1984	C₂×C₁₁	1	2	yes	—
112	#1917	C₂×C₁₁	1	4	yes	—
113	#1839	C₂×C₁₁	1	2	yes	—
114	#1831	C₂×C₁₁	1	1	yes	characteristic
115	#1770	C₂×C₁₁	1	2	yes	—
116	C₄×C₄⋊C₈	C₂×C₁₁	1	1	yes	characteristic
117	#1745	C₂×C₁₁	1	2	yes	—
118	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
119	Q₈×C₁₁	—	2	8	no	—
120	C₂×C₄×C₁₁	—	2	2	no	—
121	C₂×C₄×C₁₁	—	2	1	no	—
122	C₂×C₄×C₁₁	—	2	1	no	—
123	C₂×C₄×C₁₁	—	2	1	no	—
124	C₂×C₄×C₁₁	—	2	1	no	—
125	C₂×C₄×C₁₁	—	2	2	no	—
126	C₂×C₄×C₁₁	—	2	1	no	—
127	C₂×C₄×C₁₁	—	2	1	no	—
128	C₂×C₄×C₁₁	—	2	1	no	—
129	C₂×C₄×C₁₁	—	2	1	no	—
130	C₂×C₄×C₁₁	—	2	2	no	—
131	C₂×C₄×C₁₁	—	2	2	no	—
132	C₂×C₄×C₁₁	—	2	2	no	—
133	C₂×C₄×C₁₁	—	2	1	no	—
134	C₂×C₄×C₁₁	—	2	2	no	—
135	C₂×C₄×C₁₁	—	2	2	no	—
136	C₂×C₄×C₁₁	—	2	1	no	—
137	C₂×C₄×C₁₁	—	2	2	no	—
138	C₂×C₄×C₁₁	—	2	2	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	#117	1	2	yes	—
143	C₂×C₄×C₁₁	#117	1	2	yes	—
144	C₂×C₄×C₁₁	C₂×M₁₆	1	2	yes	—
145	C₂×C₄×C₁₁	C₂×M₁₆	1	4	yes	—
146	C₂×C₄×C₁₁	C₂×M₁₆	1	2	yes	—
147	C₂×C₄×C₁₁	C₂×M₁₆	1	2	yes	—
148	C₂×C₄×C₁₁	C₂×M₁₆	1	2	yes	—
149	C₂×C₄×C₁₁	#131	1	2	yes	—
150	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
151	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
152	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
153	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
154	C₈×C₁₁	—	2	4	no	—
155	C₈×C₁₁	—	4	2	no	—
156	C₈×C₁₁	—	4	4	no	—
157	C₂×C₄×Q₈	C₄×C₁₁	1	1	yes	characteristic
158	C₂×C₄×Q₈	C₄×C₁₁	1	1	yes	characteristic
159	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
160	C₂×C₄⋊C₈	C₂²×C₁₁	1	2	yes	—
161	C₂×C₄⋊C₈	C₂²×C₁₁	1	2	yes	—
162	C₂×#97	C₂²×C₁₁	1	4	yes	—
163	C₂×C₄×C₈	C₂²×C₁₁	1	2	yes	—
164	C₄×C₄⋊C₄	C₄×C₁₁	1	1	yes	characteristic
165	C₄×C₄⋊C₄	C₄×C₁₁	1	2	yes	—
166	C₄×C₄⋊C₄	C₄×C₁₁	1	2	yes	—
167	C₄×C₄⋊C₄	C₄×C₁₁	1	1	yes	characteristic
168	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
169	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
170	C₄³	C₂²×C₁₁	1	1	yes	characteristic
171	C₄³	C₂²×C₁₁	1	2	yes	—
172	#336	C₂²×C₁₁	1	2	yes	—
173	#336	C₂²×C₁₁	1	2	yes	—
174	#336	C₂²×C₁₁	1	1	yes	characteristic
175	#336	C₂²×C₁₁	1	4	yes	—
176	#336	C₂²×C₁₁	1	4	yes	—
177	#336	C₂²×C₁₁	1	4	yes	—
178	#336	C₂²×C₁₁	1	1	yes	characteristic
179	C₂²×C₁₁	C₂×#117	1	1	yes	characteristic
180	C₂²×C₁₁	C₄×#41	1	1	yes	characteristic
181	C₂²×C₁₁	#519	1	1	yes	characteristic
182	C₂²×C₁₁	C₂²×M₁₆	1	1	yes	characteristic
183	C₂²×C₁₁	C₂²×M₁₆	1	1	yes	characteristic
184	C₂²×C₁₁	C₂×#131	1	1	yes	characteristic
185	C₂²×C₁₁	#568	1	1	yes	characteristic
186	C₄×C₁₁	—	2	4	no	—
187	C₄×C₁₁	—	2	2	no	—
188	C₄×C₁₁	—	2	2	no	—
189	C₄×C₁₁	—	2	2	no	—
190	C₄×C₁₁	—	2	2	no	—
191	C₄×C₁₁	—	4	2	no	—
192	C₄×C₁₁	—	4	2	no	—
193	C₄×C₁₁	—	4	2	no	—
194	C₄×C₁₁	—	4	1	no	—
195	C₄×C₁₁	#432	1	4	yes	—
196	C₄×C₁₁	#552	1	2	yes	—
197	C₄×C₁₁	#556	1	2	yes	—
198	C₂²×Q₈	C₂×C₄×C₁₁	1	1	yes	characteristic
199	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
200	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
201	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
202	C₄×Q₈	—	2	4	no	—
203	C₄×Q₈	—	2	4	no	—
204	C₄×Q₈	—	2	2	no	—
205	C₄×Q₈	—	2	2	no	—
206	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
207	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
208	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
209	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
210	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	1	yes	characteristic
211	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
212	C₂×C₄²	C₂×C₄×C₁₁	1	2	yes	—
213	C₂×C₄²	C₂×C₄×C₁₁	1	2	yes	—
214	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
215	C₂×C₄²	C₂×C₄×C₁₁	1	2	yes	—
216	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
217	C₂×C₄²	C₂×C₄×C₁₁	1	2	yes	—
218	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
219	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
220	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
221	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
222	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
223	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
224	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
225	C₄⋊C₈	—	2	4	no	—
226	C₄⋊C₈	—	2	4	no	—
227	#97	—	2	8	no	—
228	C₄×C₈	—	2	4	no	—
229	#95	C₂×C₄×C₁₁	1	2	yes	—
230	#95	C₂×C₄×C₁₁	1	2	yes	—
231	#95	C₂×C₄×C₁₁	1	2	yes	—
232	C₂×C₁₁	#2356	1	1	yes	characteristic
233	C₂×C₁₁	C₂×#432	1	1	yes	characteristic
234	C₂×C₁₁	#2925	1	1	yes	characteristic
235	C₂×C₁₁	#2965	1	1	yes	characteristic
236	C₂×C₁₁	#2971	1	1	yes	characteristic
237	C₂×C₁₁	#2983	1	1	yes	characteristic
238	C₂×C₁₁	#2984	1	1	yes	characteristic
239	C₂×Q₈	—	2	2	no	—
240	C₂×Q₈	—	2	2	no	—
241	C₂×Q₈	C₁₁×M₁₆	1	4	yes	—
242	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
243	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
244	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
245	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
246	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
247	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
248	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
249	C₂²×C₄	C₂²×C₄×C₁₁	1	2	yes	—
250	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
251	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
252	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
253	C₂×C₈	—	2	2	no	—
254	C₂×C₈	—	2	2	no	—
255	C₂×C₈	—	2	2	no	—
256	C₂×C₈	—	2	4	no	—
257	C₂×C₈	—	2	2	no	—
258	C₂×C₈	—	2	4	no	—
259	C₂×C₈	—	2	2	no	—
260	C₂×C₈	—	2	4	no	—
261	C₂×C₈	C₁₁×#41	1	4	yes	—
262	C₄⋊C₄	—	2	4	no	—
263	C₄⋊C₄	—	2	2	no	—
264	C₄⋊C₄	—	2	4	no	—
265	C₄⋊C₄	—	2	4	no	—
266	C₄⋊C₄	—	2	2	no	—
267	C₄⋊C₄	—	2	2	no	—
268	C₄²	—	2	4	no	—
269	C₄²	—	2	2	no	—
270	C₄²	—	2	4	no	—
271	C₄²	—	2	2	no	—
272	C₄²	—	2	4	no	—
273	C₄²	—	2	4	no	—
274	C₄²	—	2	2	no	—
275	C₄²	—	2	2	no	—
276	C₄²	—	2	2	no	—
277	C₄²	—	2	2	no	—
278	C₄²	—	4	1	no	—
279	C₄²	—	4	2	no	—
280	C₄²	C₁₁×M₁₆	1	4	yes	—
281	C₄²	C₁₁×#41	1	2	yes	—
282	C₄²	C₁₁×#41	1	2	yes	—
283	C₁₁	#22832	1	1	yes	characteristic, direct product factor, Sylow
284	C₂³	C₂³×C₄×C₁₁	1	1	yes	characteristic
285	Q₈	—	2	8	no	—
286	C₂×C₄	—	2	2	no	—
287	C₂×C₄	—	2	1	no	—
288	C₂×C₄	—	2	1	no	—
289	C₂×C₄	—	2	1	no	—
290	C₂×C₄	—	2	1	no	—
291	C₂×C₄	—	2	2	no	—
292	C₂×C₄	—	2	1	no	—
293	C₂×C₄	—	2	1	no	—
294	C₂×C₄	—	2	1	no	—
295	C₂×C₄	—	2	1	no	—
296	C₂×C₄	—	2	2	no	—
297	C₂×C₄	—	2	2	no	—
298	C₂×C₄	—	2	2	no	—
299	C₂×C₄	—	2	1	no	—
300	C₂×C₄	—	2	2	no	—
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	2	1	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	2	2	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	C₁₁×#117	1	2	yes	—
309	C₂×C₄	C₁₁×#117	1	2	yes	—
310	C₂×C₄	C₂×C₁₁×M₁₆	1	2	yes	—
311	C₂×C₄	C₂×C₁₁×M₁₆	1	4	yes	—
312	C₂×C₄	C₂×C₁₁×M₁₆	1	2	yes	—
313	C₂×C₄	C₂×C₁₁×M₁₆	1	2	yes	—
314	C₂×C₄	C₂×C₁₁×M₁₆	1	2	yes	—
315	C₂×C₄	C₁₁×#131	1	2	yes	—
316	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
317	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
318	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
319	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
320	C₈	—	2	4	no	—
321	C₈	—	4	2	no	—
322	C₈	—	4	4	no	—
323	C₂²	C₂×C₁₁×#117	1	1	yes	characteristic
324	C₂²	C₄×C₁₁×#41	1	1	yes	characteristic
325	C₂²	C₁₁×#519	1	1	yes	characteristic
326	C₂²	C₂²×C₁₁×M₁₆	1	1	yes	characteristic
327	C₂²	C₂²×C₁₁×M₁₆	1	1	yes	characteristic
328	C₂²	C₂×C₁₁×#131	1	1	yes	characteristic
329	C₂²	C₁₁×#568	1	1	yes	characteristic
330	C₄	—	2	4	no	—
331	C₄	—	2	2	no	—
332	C₄	—	2	2	no	—
333	C₄	—	2	2	no	—
334	C₄	—	2	2	no	—
335	C₄	—	4	2	no	—
336	C₄	—	4	2	no	—
337	C₄	—	4	2	no	—
338	C₄	—	4	1	no	—
339	C₄	C₁₁×#432	1	4	yes	—
340	C₄	C₁₁×#552	1	2	yes	—
341	C₄	C₁₁×#556	1	2	yes	—
342	C₂	C₁₁×#2356	1	1	yes	characteristic
343	C₂	C₂×C₁₁×#432	1	1	yes	characteristic
344	C₂	C₁₁×#2925	1	1	yes	characteristic
345	C₂	C₁₁×#2965	1	1	yes	characteristic
346	C₂	C₁₁×#2971	1	1	yes	characteristic
347	C₂	C₁₁×#2983	1	1	yes	characteristic
348	C₂	C₁₁×#2984	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₁₁	C₂⁴
commutator	C₂³	C₂³×C₄×C₁₁
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₁
socle, prime radical	C₂³×C₁₁	C₂³×C₄
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
65. #22832	C₁₁	direct (N × H)
283. C₁₁	#22832	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄²×Q₈×C₁₁	2
C₁₁×#1984	2
C₁₁×#1917	2
C₁₁×#1839	2
C₁₁×#1831	2
C₁₁×#1770	2
C₄×C₁₁×C₄⋊C₈	2
C₁₁×#1745	2
#22832	11

Subgroups — C11×#22832 #14600025

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#22832 #14600025