Subgroups — C₂²×C₁₁×#440 #14637345

Order 2816.

3222 conjugacy classes of subgroups.

The subgroup lattice has 344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×C₁₁×SD₁₆	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₄×Q₈×C₁₁	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₄×D₄×C₁₁	C₂	1	1	yes	maximal, characteristic
4	C₂×C₁₁×#440	C₂	1	24	yes	maximal, direct product factor
5	C₂²×C₁₁×#107	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×C₁₁×#103	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×C₁₁×#102	C₂	1	1	yes	maximal, characteristic
8	C₂²×C₁₁×#97	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂³×Q₈×C₁₁	C₂²	1	1	yes	characteristic
10	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic
11	C₂⁴×C₄×C₁₁	—	2	1	no	—
12	C₂²×C₁₁×SD₁₆	C₄	1	16	yes	complemented
13	C₂²×C₁₁×SD₁₆	C₂²	1	12	yes	—
14	C₂³×C₈×C₁₁	C₂²	1	1	yes	characteristic
15	C₂³×C₈×C₁₁	C₂²	1	1	yes	characteristic
16	C₂×C₄×Q₈×C₁₁	—	2	6	no	—
17	C₂×C₄×Q₈×C₁₁	C₂²	1	12	yes	complemented
18	C₂×C₄×D₄×C₁₁	—	2	6	no	—
19	C₂×C₄×D₄×C₁₁	C₂²	1	12	yes	—
20	C₂²×C₁₁×C₄⋊C₄	—	2	1	no	—
21	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
22	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
23	C₂²×C₁₁×C₂²⋊C₄	—	2	1	no	—
24	C₂²×C₄²×C₁₁	—	2	1	no	—
25	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
26	C₁₁×#440	C₂²	1	64	yes	direct product factor
27	C₂×C₁₁×#107	C₂²	1	12	yes	complemented
28	C₂×C₁₁×#103	C₂²	1	12	yes	complemented
29	C₂×C₁₁×#102	C₂²	1	12	yes	—
30	C₂×C₁₁×#97	C₂²	1	12	yes	complemented
31	C₂⁵×C₁₁	—	2	1	no	—
32	C₂²×Q₈×C₁₁	—	2	3	no	—
33	C₂²×Q₈×C₁₁	—	2	4	no	—
34	C₂²×Q₈×C₁₁	C₂×C₄	1	8	yes	complemented
35	C₂²×Q₈×C₁₁	C₂³	1	6	yes	—
36	C₂²×D₄×C₁₁	—	2	3	no	—
37	C₂²×D₄×C₁₁	—	2	4	no	—
38	C₂²×D₄×C₁₁	C₂×C₄	1	8	yes	—
39	C₂²×D₄×C₁₁	C₂³	1	6	yes	—
40	C₂³×C₄×C₁₁	—	2	1	no	—
41	C₂³×C₄×C₁₁	—	2	1	no	—
42	C₂³×C₄×C₁₁	—	2	1	no	—
43	C₂³×C₄×C₁₁	—	2	12	no	—
44	C₂³×C₄×C₁₁	—	4	8	no	—
45	C₂³×C₄×C₁₁	D₄	1	1	yes	characteristic
46	C₂³×C₄×C₁₁	D₄	1	1	yes	characteristic
47	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
48	C₂×C₁₁×SD₁₆	C₂×C₄	1	96	yes	complemented
49	C₂×C₁₁×SD₁₆	C₂³	1	16	yes	—
50	C₂²×C₈×C₁₁	—	2	4	no	—
51	C₂²×C₈×C₁₁	C₂×C₄	1	8	yes	complemented
52	C₂²×C₈×C₁₁	C₂³	1	6	yes	—
53	C₂²×C₈×C₁₁	C₂³	1	6	yes	—
54	C₄×Q₈×C₁₁	—	2	24	no	—
55	C₄×Q₈×C₁₁	C₂³	1	16	yes	complemented
56	C₄×D₄×C₁₁	—	2	24	no	—
57	C₄×D₄×C₁₁	C₂³	1	16	yes	—
58	C₂×C₁₁×C₄⋊C₄	—	2	12	no	—
59	C₂×C₁₁×C₄⋊C₄	—	2	3	no	—
60	C₂×C₁₁×C₄⋊C₄	—	2	3	no	—
61	C₂×C₁₁×C₄⋊C₄	C₂³	1	6	yes	—
62	C₂×C₁₁×C₄⋊C₄	C₂³	1	6	yes	—
63	C₂×C₁₁×C₂²⋊C₄	—	2	12	no	—
64	C₂×C₄²×C₁₁	—	2	12	no	—
65	C₂×C₄²×C₁₁	D₄	1	6	yes	—
66	C₂×C₄²×C₁₁	C₂³	1	6	yes	—
67	C₁₁×#107	C₂³	1	16	yes	complemented
68	C₁₁×#103	C₂³	1	16	yes	complemented
69	C₁₁×#102	C₂³	1	16	yes	—
70	C₁₁×#97	C₂³	1	16	yes	complemented
71	C₂²×#440	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
72	C₂⁴×C₁₁	—	2	8	no	—
73	C₂⁴×C₁₁	—	2	6	no	—
74	C₂⁴×C₁₁	—	4	4	no	—
75	C₂⁴×C₁₁	—	4	4	no	—
76	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
77	C₂×Q₈×C₁₁	—	2	24	no	—
78	C₂×Q₈×C₁₁	—	2	6	no	—
79	C₂×Q₈×C₁₁	—	2	12	no	—
80	C₂×Q₈×C₁₁	C₂²×C₄	1	24	yes	complemented
81	C₂×Q₈×C₁₁	C₂⁴	1	4	yes	—
82	C₂×D₄×C₁₁	—	2	24	no	—
83	C₂×D₄×C₁₁	—	2	6	no	—
84	C₂×D₄×C₁₁	—	2	12	no	—
85	C₂×D₄×C₁₁	C₂²×C₄	1	24	yes	—
86	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
87	C₂²×C₄×C₁₁	—	2	8	no	—
88	C₂²×C₄×C₁₁	—	2	4	no	—
89	C₂²×C₄×C₁₁	—	2	4	no	—
90	C₂²×C₄×C₁₁	—	2	6	no	—
91	C₂²×C₄×C₁₁	—	2	6	no	—
92	C₂²×C₄×C₁₁	—	2	6	no	—
93	C₂²×C₄×C₁₁	—	2	16	no	—
94	C₂²×C₄×C₁₁	—	4	48	no	—
95	C₂²×C₄×C₁₁	—	4	4	no	—
96	C₂²×C₄×C₁₁	—	4	4	no	—
97	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
98	C₂²×C₄×C₁₁	C₂×D₄	1	6	yes	—
99	C₂²×C₄×C₁₁	C₂×D₄	1	6	yes	—
100	C₂²×C₄×C₁₁	C₂×D₄	1	3	yes	—
101	C₂²×C₄×C₁₁	#41	1	4	yes	—
102	C₂²×C₄×C₁₁	C₂⁴	1	3	yes	—
103	C₁₁×SD₁₆	C₂²×C₄	1	64	yes	complemented
104	C₂×C₈×C₁₁	—	2	12	no	—
105	C₂×C₈×C₁₁	C₂²×C₄	1	24	yes	complemented
106	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
107	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
108	C₁₁×C₄⋊C₄	—	2	16	no	—
109	C₁₁×C₄⋊C₄	—	2	6	no	—
110	C₁₁×C₄⋊C₄	—	2	6	no	—
111	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
112	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
113	C₁₁×C₂²⋊C₄	—	2	16	no	—
114	C₄²×C₁₁	—	2	16	no	—
115	C₄²×C₁₁	C₂×D₄	1	12	yes	—
116	C₄²×C₁₁	C₂⁴	1	4	yes	—
117	C₂³×SD₁₆	C₂×C₁₁	1	1	yes	characteristic
118	C₂²×C₄×Q₈	C₂×C₁₁	1	1	yes	characteristic, complemented
119	C₂²×C₄×D₄	C₂×C₁₁	1	1	yes	characteristic
120	C₂×#440	C₂×C₁₁	1	24	yes	direct product factor
121	C₂²×#107	C₂×C₁₁	1	1	yes	characteristic, complemented
122	C₂²×#103	C₂×C₁₁	1	1	yes	characteristic, complemented
123	C₂²×#102	C₂×C₁₁	1	1	yes	characteristic
124	C₂²×#97	C₂×C₁₁	1	1	yes	characteristic, complemented
125	C₂³×C₁₁	—	2	24	no	—
126	C₂³×C₁₁	—	2	4	no	—
127	C₂³×C₁₁	—	4	12	no	—
128	C₂³×C₁₁	—	4	12	no	—
129	C₂³×C₁₁	—	4	32	no	—
130	C₂³×C₁₁	C₄×D₄	1	4	yes	—
131	C₂³×C₁₁	AGL(1,ℤ/8)	1	4	yes	—
132	C₂³×C₁₁	#137	1	4	yes	—
133	C₂³×C₁₁	C₂²×D₄	1	3	yes	—
134	Q₈×C₁₁	—	2	24	no	—
135	Q₈×C₁₁	—	2	4	no	—
136	Q₈×C₁₁	C₂³×C₄	1	8	yes	complemented
137	D₄×C₁₁	—	2	24	no	—
138	D₄×C₁₁	—	2	4	no	—
139	D₄×C₁₁	C₂³×C₄	1	8	yes	—
140	C₂×C₄×C₁₁	—	2	24	no	—
141	C₂×C₄×C₁₁	—	2	12	no	—
142	C₂×C₄×C₁₁	—	2	12	no	—
143	C₂×C₄×C₁₁	—	2	4	no	—
144	C₂×C₄×C₁₁	—	2	4	no	—
145	C₂×C₄×C₁₁	—	2	4	no	—
146	C₂×C₄×C₁₁	—	4	32	no	—
147	C₂×C₄×C₁₁	—	4	12	no	—
148	C₂×C₄×C₁₁	—	4	12	no	—
149	C₂×C₄×C₁₁	C₄×D₄	1	12	yes	—
150	C₂×C₄×C₁₁	C₂³×C₄	1	6	yes	—
151	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
152	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
153	C₂×C₄×C₁₁	C₂²×D₄	1	3	yes	—
154	C₂×C₄×C₁₁	C₂×#41	1	6	yes	—
155	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
156	C₈×C₁₁	—	2	4	no	—
157	C₈×C₁₁	C₂³×C₄	1	8	yes	complemented
158	C₂³×Q₈	C₂²×C₁₁	1	1	yes	characteristic
159	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic
160	C₂⁴×C₄	—	2	1	no	—
161	C₂²×SD₁₆	C₄×C₁₁	1	16	yes	complemented
162	C₂²×SD₁₆	C₂²×C₁₁	1	12	yes	—
163	C₂³×C₈	C₂²×C₁₁	1	1	yes	characteristic
164	C₂³×C₈	C₂²×C₁₁	1	1	yes	characteristic
165	C₂×C₄×Q₈	—	2	6	no	—
166	C₂×C₄×Q₈	C₂²×C₁₁	1	12	yes	complemented
167	C₂×C₄×D₄	—	2	6	no	—
168	C₂×C₄×D₄	C₂²×C₁₁	1	12	yes	—
169	C₂²×C₄⋊C₄	—	2	1	no	—
170	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
171	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
172	C₂²×C₂²⋊C₄	—	2	1	no	—
173	C₂²×C₄²	—	2	1	no	—
174	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
175	#440	C₂²×C₁₁	1	64	yes	direct product factor
176	C₂×#107	C₂²×C₁₁	1	12	yes	complemented
177	C₂×#103	C₂²×C₁₁	1	12	yes	complemented
178	C₂×#102	C₂²×C₁₁	1	12	yes	—
179	C₂×#97	C₂²×C₁₁	1	12	yes	complemented
180	C₂²×C₁₁	—	2	8	no	—
181	C₂²×C₁₁	—	4	48	no	—
182	C₂²×C₁₁	—	4	4	no	—
183	C₂²×C₁₁	—	4	4	no	—
184	C₂²×C₁₁	#440	1	16	yes	direct product factor
185	C₂²×C₁₁	C₂×C₄×D₄	1	6	yes	—
186	C₂²×C₁₁	C₂×AGL(1,ℤ/8)	1	6	yes	—
187	C₂²×C₁₁	C₂×#137	1	6	yes	—
188	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
189	C₄×C₁₁	—	2	8	no	—
190	C₄×C₁₁	—	2	4	no	—
191	C₄×C₁₁	—	2	4	no	—
192	C₄×C₁₁	—	4	4	no	—
193	C₄×C₁₁	—	4	4	no	—
194	C₄×C₁₁	C₂×C₄×D₄	1	6	yes	—
195	C₄×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
196	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
197	C₂⁵	—	2	1	no	—
198	C₂²×Q₈	—	2	3	no	—
199	C₂²×Q₈	—	2	4	no	—
200	C₂²×Q₈	C₂×C₄×C₁₁	1	8	yes	complemented
201	C₂²×Q₈	C₂³×C₁₁	1	6	yes	—
202	C₂²×D₄	—	2	3	no	—
203	C₂²×D₄	—	2	4	no	—
204	C₂²×D₄	C₂×C₄×C₁₁	1	8	yes	—
205	C₂²×D₄	C₂³×C₁₁	1	6	yes	—
206	C₂³×C₄	—	2	1	no	—
207	C₂³×C₄	—	2	1	no	—
208	C₂³×C₄	—	2	1	no	—
209	C₂³×C₄	—	2	12	no	—
210	C₂³×C₄	—	4	8	no	—
211	C₂³×C₄	D₄×C₁₁	1	1	yes	characteristic
212	C₂³×C₄	D₄×C₁₁	1	1	yes	characteristic
213	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
214	C₂×SD₁₆	C₂×C₄×C₁₁	1	96	yes	complemented
215	C₂×SD₁₆	C₂³×C₁₁	1	16	yes	—
216	C₂²×C₈	—	2	4	no	—
217	C₂²×C₈	C₂×C₄×C₁₁	1	8	yes	complemented
218	C₂²×C₈	C₂³×C₁₁	1	6	yes	—
219	C₂²×C₈	C₂³×C₁₁	1	6	yes	—
220	C₄×Q₈	—	2	24	no	—
221	C₄×Q₈	C₂³×C₁₁	1	16	yes	complemented
222	C₄×D₄	—	2	24	no	—
223	C₄×D₄	C₂³×C₁₁	1	16	yes	—
224	C₂×C₄⋊C₄	—	2	12	no	—
225	C₂×C₄⋊C₄	—	2	3	no	—
226	C₂×C₄⋊C₄	—	2	3	no	—
227	C₂×C₄⋊C₄	C₂³×C₁₁	1	6	yes	—
228	C₂×C₄⋊C₄	C₂³×C₁₁	1	6	yes	—
229	C₂×C₂²⋊C₄	—	2	12	no	—
230	C₂×C₄²	—	2	12	no	—
231	C₂×C₄²	D₄×C₁₁	1	6	yes	—
232	C₂×C₄²	C₂³×C₁₁	1	6	yes	—
233	#107	C₂³×C₁₁	1	16	yes	complemented
234	#103	C₂³×C₁₁	1	16	yes	complemented
235	#102	C₂³×C₁₁	1	16	yes	—
236	#97	C₂³×C₁₁	1	16	yes	complemented
237	C₂×C₁₁	—	4	8	no	—
238	C₂×C₁₁	C₂×#440	1	12	yes	direct product factor
239	C₂×C₁₁	C₂²×C₄×D₄	1	1	yes	characteristic
240	C₂×C₁₁	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
241	C₂×C₁₁	C₂²×#137	1	1	yes	characteristic
242	C₂⁴	—	2	8	no	—
243	C₂⁴	—	2	6	no	—
244	C₂⁴	—	4	4	no	—
245	C₂⁴	—	4	4	no	—
246	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
247	C₂×Q₈	—	2	24	no	—
248	C₂×Q₈	—	2	6	no	—
249	C₂×Q₈	—	2	12	no	—
250	C₂×Q₈	C₂²×C₄×C₁₁	1	24	yes	complemented
251	C₂×Q₈	C₂⁴×C₁₁	1	4	yes	—
252	C₂×D₄	—	2	24	no	—
253	C₂×D₄	—	2	6	no	—
254	C₂×D₄	—	2	12	no	—
255	C₂×D₄	C₂²×C₄×C₁₁	1	24	yes	—
256	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
257	C₂²×C₄	—	2	8	no	—
258	C₂²×C₄	—	2	4	no	—
259	C₂²×C₄	—	2	4	no	—
260	C₂²×C₄	—	2	6	no	—
261	C₂²×C₄	—	2	6	no	—
262	C₂²×C₄	—	2	6	no	—
263	C₂²×C₄	—	2	16	no	—
264	C₂²×C₄	—	4	48	no	—
265	C₂²×C₄	—	4	4	no	—
266	C₂²×C₄	—	4	4	no	—
267	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
268	C₂²×C₄	C₂×D₄×C₁₁	1	6	yes	—
269	C₂²×C₄	C₂×D₄×C₁₁	1	6	yes	—
270	C₂²×C₄	C₂×D₄×C₁₁	1	3	yes	—
271	C₂²×C₄	C₁₁×#41	1	4	yes	—
272	C₂²×C₄	C₂⁴×C₁₁	1	3	yes	—
273	SD₁₆	C₂²×C₄×C₁₁	1	64	yes	complemented
274	C₂×C₈	—	2	12	no	—
275	C₂×C₈	C₂²×C₄×C₁₁	1	24	yes	complemented
276	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
277	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
278	C₄⋊C₄	—	2	16	no	—
279	C₄⋊C₄	—	2	6	no	—
280	C₄⋊C₄	—	2	6	no	—
281	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
282	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
283	C₂²⋊C₄	—	2	16	no	—
284	C₄²	—	2	16	no	—
285	C₄²	C₂×D₄×C₁₁	1	12	yes	—
286	C₄²	C₂⁴×C₁₁	1	4	yes	—
287	C₁₁	C₂²×#440	1	1	yes	characteristic, direct product factor, Sylow
288	C₂³	—	2	24	no	—
289	C₂³	—	2	4	no	—
290	C₂³	—	4	12	no	—
291	C₂³	—	4	12	no	—
292	C₂³	—	4	32	no	—
293	C₂³	C₄×D₄×C₁₁	1	4	yes	—
294	C₂³	C₁₁×AGL(1,ℤ/8)	1	4	yes	—
295	C₂³	C₁₁×#137	1	4	yes	—
296	C₂³	C₂²×D₄×C₁₁	1	3	yes	—
297	Q₈	—	2	24	no	—
298	Q₈	—	2	4	no	—
299	Q₈	C₂³×C₄×C₁₁	1	8	yes	complemented
300	D₄	—	2	24	no	—
301	D₄	—	2	4	no	—
302	D₄	C₂³×C₄×C₁₁	1	8	yes	—
303	C₂×C₄	—	2	24	no	—
304	C₂×C₄	—	2	12	no	—
305	C₂×C₄	—	2	12	no	—
306	C₂×C₄	—	2	4	no	—
307	C₂×C₄	—	2	4	no	—
308	C₂×C₄	—	2	4	no	—
309	C₂×C₄	—	4	32	no	—
310	C₂×C₄	—	4	12	no	—
311	C₂×C₄	—	4	12	no	—
312	C₂×C₄	C₄×D₄×C₁₁	1	12	yes	—
313	C₂×C₄	C₂³×C₄×C₁₁	1	6	yes	—
314	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
315	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
316	C₂×C₄	C₂²×D₄×C₁₁	1	3	yes	—
317	C₂×C₄	C₂×C₁₁×#41	1	6	yes	—
318	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
319	C₈	—	2	4	no	—
320	C₈	C₂³×C₄×C₁₁	1	8	yes	complemented
321	C₂²	—	2	8	no	—
322	C₂²	—	4	48	no	—
323	C₂²	—	4	4	no	—
324	C₂²	—	4	4	no	—
325	C₂²	C₁₁×#440	1	16	yes	direct product factor
326	C₂²	C₂×C₄×D₄×C₁₁	1	6	yes	—
327	C₂²	C₂×C₁₁×AGL(1,ℤ/8)	1	6	yes	—
328	C₂²	C₂×C₁₁×#137	1	6	yes	—
329	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
330	C₄	—	2	8	no	—
331	C₄	—	2	4	no	—
332	C₄	—	2	4	no	—
333	C₄	—	4	4	no	—
334	C₄	—	4	4	no	—
335	C₄	C₂×C₄×D₄×C₁₁	1	6	yes	—
336	C₄	C₂⁴×C₄×C₁₁	1	1	yes	characteristic
337	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
338	C₂	—	4	8	no	—
339	C₂	C₂×C₁₁×#440	1	12	yes	direct product factor
340	C₂	C₂²×C₄×D₄×C₁₁	1	1	yes	characteristic
341	C₂	C₂²×C₁₁×AGL(1,ℤ/8)	1	1	yes	characteristic
342	C₂	C₂²×C₁₁×#137	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴×C₁₁	C₂×D₄
commutator	C₄	C₂⁴×C₄×C₁₁
Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
prime radical	C₂³×D₄×C₁₁	C₂²
LCS	G ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₁₁ ◁ C₂²×C₄²×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂²×C₄×Q₈×C₁₁	C₂	semidirect
4. C₂×C₁₁×#440	C₂	direct (N × H)
5. C₂²×C₁₁×#107	C₂	semidirect
6. C₂²×C₁₁×#103	C₂	semidirect
8. C₂²×C₁₁×#97	C₂	semidirect
12. C₂²×C₁₁×SD₁₆	C₄	semidirect
17. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
26. C₁₁×#440	C₂²	direct (N × H)
27. C₂×C₁₁×#107	C₂²	semidirect
28. C₂×C₁₁×#103	C₂²	semidirect
30. C₂×C₁₁×#97	C₂²	semidirect
34. C₂²×Q₈×C₁₁	C₂×C₄	semidirect
48. C₂×C₁₁×SD₁₆	C₂×C₄	semidirect
51. C₂²×C₈×C₁₁	C₂×C₄	semidirect
55. C₄×Q₈×C₁₁	C₂³	semidirect
67. C₁₁×#107	C₂³	semidirect
68. C₁₁×#103	C₂³	semidirect
70. C₁₁×#97	C₂³	semidirect
71. C₂²×#440	C₁₁	direct (N × H)
80. C₂×Q₈×C₁₁	C₂²×C₄	semidirect
103. C₁₁×SD₁₆	C₂²×C₄	semidirect
105. C₂×C₈×C₁₁	C₂²×C₄	semidirect
118. C₂²×C₄×Q₈	C₂×C₁₁	semidirect
120. C₂×#440	C₂×C₁₁	direct (N × H)
121. C₂²×#107	C₂×C₁₁	semidirect
122. C₂²×#103	C₂×C₁₁	semidirect
124. C₂²×#97	C₂×C₁₁	semidirect
136. Q₈×C₁₁	C₂³×C₄	semidirect
157. C₈×C₁₁	C₂³×C₄	semidirect
161. C₂²×SD₁₆	C₄×C₁₁	semidirect
166. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
175. #440	C₂²×C₁₁	direct (N × H)
176. C₂×#107	C₂²×C₁₁	semidirect
177. C₂×#103	C₂²×C₁₁	semidirect
179. C₂×#97	C₂²×C₁₁	semidirect
184. C₂²×C₁₁	#440	direct (N × H)
200. C₂²×Q₈	C₂×C₄×C₁₁	semidirect
214. C₂×SD₁₆	C₂×C₄×C₁₁	semidirect
217. C₂²×C₈	C₂×C₄×C₁₁	semidirect
221. C₄×Q₈	C₂³×C₁₁	semidirect
233. #107	C₂³×C₁₁	semidirect
234. #103	C₂³×C₁₁	semidirect
236. #97	C₂³×C₁₁	semidirect
238. C₂×C₁₁	C₂×#440	direct (N × H)
250. C₂×Q₈	C₂²×C₄×C₁₁	semidirect
273. SD₁₆	C₂²×C₄×C₁₁	semidirect
275. C₂×C₈	C₂²×C₄×C₁₁	semidirect
287. C₁₁	C₂²×#440	direct (N × H)
299. Q₈	C₂³×C₄×C₁₁	semidirect
320. C₈	C₂³×C₄×C₁₁	semidirect
325. C₂²	C₁₁×#440	direct (N × H)
339. C₂	C₂×C₁₁×#440	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×C₁₁×SD₁₆	2
C₂²×C₄×Q₈×C₁₁	2
C₂²×C₄×D₄×C₁₁	2
C₂×C₁₁×#440	2
C₂²×C₁₁×#107	2
C₂²×C₁₁×#103	2
C₂²×C₁₁×#102	2
C₂²×C₁₁×#97	2
C₂²×#440	11

Subgroups — C22×C11×#440 #14637345

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×C₁₁×#440 #14637345