Subgroups — C₂×C₁₁×#3142 #14637810

Order 2816.

2182 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#532	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₁₁×#125	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3142	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₁₁×#491	C₂	1	2	yes	maximal, complemented
5	C₂×C₁₁×#490	C₂	1	2	yes	maximal, complemented
6	C₂×C₁₁×#488	C₂	1	4	yes	maximal, complemented
7	C₂×C₁₁×#417	C₂	1	4	yes	maximal, complemented
8	C₂×C₄×C₁₁×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×C₁₁×#41	C₂²	1	2	yes	—
10	C₂²×C₁₁×M₁₆	C₂²	1	2	yes	—
11	C₁₁×#532	—	2	4	no	—
12	C₁₁×#532	C₂²	1	8	yes	—
13	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
14	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic
15	C₂×C₁₁×#125	—	2	2	no	—
16	C₂×C₁₁×#125	—	2	4	no	—
17	C₂×C₁₁×#125	C₂²	1	2	yes	—
18	C₂×C₁₁×#125	C₂²	1	2	yes	—
19	C₂×C₁₁×#125	C₂²	1	8	yes	complemented
20	C₂×C₁₁×#124	C₂²	1	2	yes	—
21	C₂×C₁₁×#121	—	2	2	no	—
22	C₂×C₄×D₄×C₁₁	—	2	2	no	—
23	C₂²×C₁₁×C₄⋊C₄	—	2	2	no	—
24	C₂²×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
25	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
26	C₁₁×#491	C₂²	1	16	yes	complemented
27	C₁₁×#490	C₂²	1	16	yes	complemented
28	C₁₁×#488	C₂²	1	32	yes	complemented
29	C₁₁×#417	C₂²	1	32	yes	complemented
30	C₂×C₁₁×#103	C₂²	1	8	yes	—
31	C₂×C₁₁×#102	C₂²	1	8	yes	—
32	C₄×C₁₁×M₁₆	C₂²	1	8	yes	complemented
33	C₂×C₁₁×#97	C₂²	1	2	yes	—
34	C₂×C₄×C₈×C₁₁	C₂²	1	2	yes	—
35	C₂×C₁₁×#41	—	2	4	no	—
36	C₂×C₁₁×#41	—	2	16	no	—
37	C₂×C₁₁×#41	C₂³	1	8	yes	—
38	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
39	C₂²×D₄×C₁₁	—	2	2	no	—
40	C₂²×D₄×C₁₁	—	2	2	no	—
41	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
42	C₂³×C₄×C₁₁	—	2	2	no	—
43	C₂³×C₄×C₁₁	—	2	2	no	—
44	C₂³×C₄×C₁₁	D₄	1	2	yes	—
45	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
46	C₂×C₁₁×M₁₆	—	2	8	no	—
47	C₂×C₁₁×M₁₆	C₂³	1	8	yes	—
48	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
49	C₁₁×C₄⋊Q₈	—	2	2	no	—
50	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
51	C₁₁×#127	—	2	2	no	—
52	C₁₁×#127	C₂³	1	4	yes	—
53	C₁₁×#125	—	2	4	no	—
54	C₁₁×#125	—	2	4	no	—
55	C₁₁×#125	—	2	16	no	—
56	C₁₁×#125	C₂³	1	8	yes	—
57	C₁₁×#125	C₂³	1	8	yes	—
58	C₁₁×#124	—	2	4	no	—
59	C₁₁×#124	C₂³	1	8	yes	—
60	C₁₁×#121	—	2	16	no	—
61	C₄×D₄×C₁₁	—	2	16	no	—
62	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
63	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
64	C₂×C₁₁×C₄⋊C₄	—	2	16	no	—
65	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
66	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
67	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
68	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
69	C₂×C₁₁×C₄⋊C₄	C₂³	1	8	yes	—
70	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
71	C₂×C₄²×C₁₁	D₄	1	2	yes	—
72	C₂×C₄²×C₁₁	D₄	1	4	yes	—
73	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
74	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
75	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
76	C₁₁×#103	C₂³	1	32	yes	—
77	C₁₁×#102	C₂³	1	32	yes	—
78	C₁₁×#97	C₂³	1	8	yes	—
79	C₄×C₈×C₁₁	C₂³	1	8	yes	—
80	C₂×#3142	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
81	C₂⁴×C₁₁	—	2	2	no	—
82	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
83	C₁₁×#41	—	2	32	no	—
84	C₁₁×#41	—	4	16	no	—
85	C₂×Q₈×C₁₁	—	2	2	no	—
86	C₂×Q₈×C₁₁	—	2	8	no	—
87	C₂×Q₈×C₁₁	C₂⁴	1	4	yes	—
88	C₂×D₄×C₁₁	—	2	8	no	—
89	C₂×D₄×C₁₁	—	2	8	no	—
90	C₂×D₄×C₁₁	—	2	2	no	—
91	C₂×D₄×C₁₁	—	2	8	no	—
92	C₂×D₄×C₁₁	—	4	8	no	—
93	C₂×D₄×C₁₁	—	4	8	no	—
94	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
95	C₂²×C₄×C₁₁	—	2	8	no	—
96	C₂²×C₄×C₁₁	—	2	2	no	—
97	C₂²×C₄×C₁₁	—	2	4	no	—
98	C₂²×C₄×C₁₁	—	2	8	no	—
99	C₂²×C₄×C₁₁	—	4	4	no	—
100	C₂²×C₄×C₁₁	—	4	8	no	—
101	C₂²×C₄×C₁₁	—	4	8	no	—
102	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
103	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
104	C₂²×C₄×C₁₁	C₂×D₄	1	8	yes	—
105	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
106	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
107	C₂²×C₄×C₁₁	#41	1	8	yes	—
108	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
109	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
110	C₁₁×M₁₆	—	2	16	no	—
111	C₂×C₈×C₁₁	—	2	8	no	—
112	C₂×C₈×C₁₁	C₂⁴	1	8	yes	—
113	C₁₁×C₄⋊C₄	—	2	16	no	—
114	C₁₁×C₄⋊C₄	—	2	16	no	—
115	C₁₁×C₄⋊C₄	—	2	8	no	—
116	C₁₁×C₄⋊C₄	—	2	4	no	—
117	C₁₁×C₄⋊C₄	—	2	8	no	—
118	C₁₁×C₄⋊C₄	C₂⁴	1	8	yes	—
119	C₁₁×C₂²⋊C₄	—	2	16	no	—
120	C₄²×C₁₁	C₂×D₄	1	8	yes	—
121	C₄²×C₁₁	C₂×D₄	1	2	yes	—
122	C₄²×C₁₁	C₂×D₄	1	2	yes	—
123	C₄²×C₁₁	C₂⁴	1	2	yes	—
124	C₄²×C₁₁	C₂⁴	1	2	yes	—
125	C₂×#532	C₂×C₁₁	1	1	yes	characteristic
126	C₂²×#125	C₂×C₁₁	1	1	yes	characteristic, complemented
127	#3142	C₂×C₁₁	1	16	yes	direct product factor
128	C₂×#491	C₂×C₁₁	1	2	yes	complemented
129	C₂×#490	C₂×C₁₁	1	2	yes	complemented
130	C₂×#488	C₂×C₁₁	1	4	yes	complemented
131	C₂×#417	C₂×C₁₁	1	4	yes	complemented
132	C₂×C₄×M₁₆	C₂×C₁₁	1	1	yes	characteristic, complemented
133	C₂³×C₁₁	—	2	4	no	—
134	C₂³×C₁₁	—	2	4	no	—
135	C₂³×C₁₁	—	4	4	no	—
136	C₂³×C₁₁	—	4	8	no	—
137	C₂³×C₁₁	#124	1	4	yes	—
138	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
139	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
140	Q₈×C₁₁	—	2	8	no	—
141	Q₈×C₁₁	—	4	4	no	—
142	D₄×C₁₁	—	2	8	no	—
143	D₄×C₁₁	—	4	16	no	—
144	D₄×C₁₁	—	4	16	no	—
145	D₄×C₁₁	—	4	4	no	—
146	C₂×C₄×C₁₁	—	2	4	no	—
147	C₂×C₄×C₁₁	—	2	4	no	—
148	C₂×C₄×C₁₁	—	2	4	no	—
149	C₂×C₄×C₁₁	—	2	8	no	—
150	C₂×C₄×C₁₁	—	4	8	no	—
151	C₂×C₄×C₁₁	—	4	16	no	—
152	C₂×C₄×C₁₁	—	4	4	no	—
153	C₂×C₄×C₁₁	—	4	8	no	—
154	C₂×C₄×C₁₁	—	4	16	no	—
155	C₂×C₄×C₁₁	#124	1	4	yes	—
156	C₂×C₄×C₁₁	#124	1	8	yes	—
157	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
158	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
159	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
160	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
161	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
162	C₂×C₄×C₁₁	C₂×#41	1	8	yes	—
163	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
164	C₈×C₁₁	—	2	8	no	—
165	C₂²×#41	C₂²×C₁₁	1	2	yes	—
166	C₂²×M₁₆	C₂²×C₁₁	1	2	yes	—
167	#532	—	2	4	no	—
168	#532	C₂²×C₁₁	1	8	yes	—
169	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
170	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
171	C₂×#125	—	2	2	no	—
172	C₂×#125	—	2	4	no	—
173	C₂×#125	C₂²×C₁₁	1	2	yes	—
174	C₂×#125	C₂²×C₁₁	1	2	yes	—
175	C₂×#125	C₂²×C₁₁	1	8	yes	complemented
176	C₂×#124	C₂²×C₁₁	1	2	yes	—
177	C₂×#121	—	2	2	no	—
178	C₂×C₄×D₄	—	2	2	no	—
179	C₂²×C₄⋊C₄	—	2	2	no	—
180	C₂²×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
181	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
182	#491	C₂²×C₁₁	1	16	yes	complemented
183	#490	C₂²×C₁₁	1	16	yes	complemented
184	#488	C₂²×C₁₁	1	32	yes	complemented
185	#417	C₂²×C₁₁	1	32	yes	complemented
186	C₂×#103	C₂²×C₁₁	1	8	yes	—
187	C₂×#102	C₂²×C₁₁	1	8	yes	—
188	C₄×M₁₆	C₂²×C₁₁	1	8	yes	complemented
189	C₂×#97	C₂²×C₁₁	1	2	yes	—
190	C₂×C₄×C₈	C₂²×C₁₁	1	2	yes	—
191	C₂²×C₁₁	—	2	8	no	—
192	C₂²×C₁₁	—	2	4	no	—
193	C₂²×C₁₁	—	4	4	no	—
194	C₂²×C₁₁	—	4	8	no	—
195	C₂²×C₁₁	—	8	8	no	—
196	C₂²×C₁₁	C₂×#124	1	4	yes	—
197	C₂²×C₁₁	C₂×#124	1	2	yes	—
198	C₂²×C₁₁	#575	1	4	yes	—
199	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
200	C₄×C₁₁	—	2	4	no	—
201	C₄×C₁₁	—	2	4	no	—
202	C₄×C₁₁	—	4	4	no	—
203	C₄×C₁₁	—	4	8	no	—
204	C₄×C₁₁	C₂×#124	1	4	yes	—
205	C₄×C₁₁	C₂×#124	1	2	yes	—
206	C₄×C₁₁	C₂²×#41	1	2	yes	—
207	C₂×#41	—	2	4	no	—
208	C₂×#41	—	2	16	no	—
209	C₂×#41	C₂³×C₁₁	1	8	yes	—
210	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
211	C₂²×D₄	—	2	2	no	—
212	C₂²×D₄	—	2	2	no	—
213	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
214	C₂³×C₄	—	2	2	no	—
215	C₂³×C₄	—	2	2	no	—
216	C₂³×C₄	D₄×C₁₁	1	2	yes	—
217	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
218	C₂×M₁₆	—	2	8	no	—
219	C₂×M₁₆	C₂³×C₁₁	1	8	yes	—
220	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
221	C₄⋊Q₈	—	2	2	no	—
222	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
223	#127	—	2	2	no	—
224	#127	C₂³×C₁₁	1	4	yes	—
225	#125	—	2	4	no	—
226	#125	—	2	4	no	—
227	#125	—	2	16	no	—
228	#125	C₂³×C₁₁	1	8	yes	—
229	#125	C₂³×C₁₁	1	8	yes	—
230	#124	—	2	4	no	—
231	#124	C₂³×C₁₁	1	8	yes	—
232	#121	—	2	16	no	—
233	C₄×D₄	—	2	16	no	—
234	C₂×C₄⋊C₄	—	2	4	no	—
235	C₂×C₄⋊C₄	—	2	4	no	—
236	C₂×C₄⋊C₄	—	2	16	no	—
237	C₂×C₄⋊C₄	—	2	2	no	—
238	C₂×C₄⋊C₄	—	2	4	no	—
239	C₂×C₄⋊C₄	—	2	2	no	—
240	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
241	C₂×C₄⋊C₄	C₂³×C₁₁	1	8	yes	—
242	C₂×C₂²⋊C₄	—	2	4	no	—
243	C₂×C₄²	D₄×C₁₁	1	2	yes	—
244	C₂×C₄²	D₄×C₁₁	1	4	yes	—
245	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
246	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
247	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
248	#103	C₂³×C₁₁	1	32	yes	—
249	#102	C₂³×C₁₁	1	32	yes	—
250	#97	C₂³×C₁₁	1	8	yes	—
251	C₄×C₈	C₂³×C₁₁	1	8	yes	—
252	C₂×C₁₁	—	2	4	no	—
253	C₂×C₁₁	—	8	4	no	—
254	C₂×C₁₁	#3142	1	4	yes	direct product factor
255	C₂×C₁₁	C₂²×#124	1	1	yes	characteristic
256	C₂×C₁₁	C₂×#575	1	2	yes	—
257	C₂⁴	—	2	2	no	—
258	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
259	#41	—	2	32	no	—
260	#41	—	4	16	no	—
261	C₂×Q₈	—	2	2	no	—
262	C₂×Q₈	—	2	8	no	—
263	C₂×Q₈	C₂⁴×C₁₁	1	4	yes	—
264	C₂×D₄	—	2	8	no	—
265	C₂×D₄	—	2	8	no	—
266	C₂×D₄	—	2	2	no	—
267	C₂×D₄	—	2	8	no	—
268	C₂×D₄	—	4	8	no	—
269	C₂×D₄	—	4	8	no	—
270	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
271	C₂²×C₄	—	2	2	no	—
272	C₂²×C₄	—	2	8	no	—
273	C₂²×C₄	—	2	4	no	—
274	C₂²×C₄	—	2	8	no	—
275	C₂²×C₄	—	4	4	no	—
276	C₂²×C₄	—	4	8	no	—
277	C₂²×C₄	—	4	8	no	—
278	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
279	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
280	C₂²×C₄	C₂×D₄×C₁₁	1	8	yes	—
281	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
282	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
283	C₂²×C₄	C₁₁×#41	1	8	yes	—
284	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
285	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
286	M₁₆	—	2	16	no	—
287	C₂×C₈	—	2	8	no	—
288	C₂×C₈	C₂⁴×C₁₁	1	8	yes	—
289	C₄⋊C₄	—	2	16	no	—
290	C₄⋊C₄	—	2	16	no	—
291	C₄⋊C₄	—	2	8	no	—
292	C₄⋊C₄	—	2	4	no	—
293	C₄⋊C₄	—	2	8	no	—
294	C₄⋊C₄	C₂⁴×C₁₁	1	8	yes	—
295	C₂²⋊C₄	—	2	16	no	—
296	C₄²	C₂×D₄×C₁₁	1	8	yes	—
297	C₄²	C₂×D₄×C₁₁	1	2	yes	—
298	C₄²	C₂×D₄×C₁₁	1	2	yes	—
299	C₄²	C₂⁴×C₁₁	1	2	yes	—
300	C₄²	C₂⁴×C₁₁	1	2	yes	—
301	C₁₁	C₂×#3142	1	1	yes	characteristic, direct product factor, Sylow
302	C₂³	—	2	4	no	—
303	C₂³	—	2	4	no	—
304	C₂³	—	4	4	no	—
305	C₂³	—	4	8	no	—
306	C₂³	C₁₁×#124	1	4	yes	—
307	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
308	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
309	Q₈	—	2	8	no	—
310	Q₈	—	4	4	no	—
311	D₄	—	2	8	no	—
312	D₄	—	4	16	no	—
313	D₄	—	4	16	no	—
314	D₄	—	4	4	no	—
315	C₂×C₄	—	2	4	no	—
316	C₂×C₄	—	2	4	no	—
317	C₂×C₄	—	2	4	no	—
318	C₂×C₄	—	2	8	no	—
319	C₂×C₄	—	4	8	no	—
320	C₂×C₄	—	4	16	no	—
321	C₂×C₄	—	4	4	no	—
322	C₂×C₄	—	4	8	no	—
323	C₂×C₄	—	4	16	no	—
324	C₂×C₄	C₁₁×#124	1	4	yes	—
325	C₂×C₄	C₁₁×#124	1	8	yes	—
326	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
327	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
328	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
329	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
330	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
331	C₂×C₄	C₂×C₁₁×#41	1	8	yes	—
332	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
333	C₈	—	2	8	no	—
334	C₂²	—	2	4	no	—
335	C₂²	—	2	8	no	—
336	C₂²	—	4	4	no	—
337	C₂²	—	4	8	no	—
338	C₂²	—	8	8	no	—
339	C₂²	C₂×C₁₁×#124	1	4	yes	—
340	C₂²	C₂×C₁₁×#124	1	2	yes	—
341	C₂²	C₁₁×#575	1	4	yes	—
342	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
343	C₄	—	2	4	no	—
344	C₄	—	2	4	no	—
345	C₄	—	4	4	no	—
346	C₄	—	4	8	no	—
347	C₄	C₂×C₁₁×#124	1	4	yes	—
348	C₄	C₂×C₁₁×#124	1	2	yes	—
349	C₄	C₂²×C₁₁×#41	1	2	yes	—
350	C₂	—	2	4	no	—
351	C₂	—	8	4	no	—
352	C₂	C₁₁×#3142	1	4	yes	direct product factor
353	C₂	C₂²×C₁₁×#124	1	1	yes	characteristic
354	C₂	C₂×C₁₁×#575	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
prime radical	C₂×C₁₁×#532	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₁ ◁ C₂²×C₄²×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂²×C₁₁×#125	C₂	semidirect
3. C₁₁×#3142	C₂	direct (N × H)
4. C₂×C₁₁×#491	C₂	semidirect
5. C₂×C₁₁×#490	C₂	semidirect
6. C₂×C₁₁×#488	C₂	semidirect
7. C₂×C₁₁×#417	C₂	semidirect
8. C₂×C₄×C₁₁×M₁₆	C₂	semidirect
19. C₂×C₁₁×#125	C₂²	semidirect
26. C₁₁×#491	C₂²	semidirect
27. C₁₁×#490	C₂²	semidirect
28. C₁₁×#488	C₂²	semidirect
29. C₁₁×#417	C₂²	semidirect
32. C₄×C₁₁×M₁₆	C₂²	semidirect
80. C₂×#3142	C₁₁	direct (N × H)
126. C₂²×#125	C₂×C₁₁	semidirect
127. #3142	C₂×C₁₁	direct (N × H)
128. C₂×#491	C₂×C₁₁	semidirect
129. C₂×#490	C₂×C₁₁	semidirect
130. C₂×#488	C₂×C₁₁	semidirect
131. C₂×#417	C₂×C₁₁	semidirect
132. C₂×C₄×M₁₆	C₂×C₁₁	semidirect
175. C₂×#125	C₂²×C₁₁	semidirect
182. #491	C₂²×C₁₁	semidirect
183. #490	C₂²×C₁₁	semidirect
184. #488	C₂²×C₁₁	semidirect
185. #417	C₂²×C₁₁	semidirect
188. C₄×M₁₆	C₂²×C₁₁	semidirect
254. C₂×C₁₁	#3142	direct (N × H)
301. C₁₁	C₂×#3142	direct (N × H)
352. C₂	C₁₁×#3142	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₁×#532	2
C₂²×C₁₁×#125	2
C₁₁×#3142	2
C₂×C₁₁×#491	2
C₂×C₁₁×#490	2
C₂×C₁₁×#488	2
C₂×C₁₁×#417	2
C₂×C₄×C₁₁×M₁₆	2
C₂×#3142	11

Subgroups — C2×C11×#3142 #14637810

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₁×#3142 #14637810