Subgroups — C₂×C₁₁×#3135 #14637802

Order 2816.

2182 conjugacy classes of subgroups.

The subgroup lattice has 360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#533	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₁×#532	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#3135	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×#489	C₂	1	4	yes	maximal, complemented
7	C₂×C₁₁×#416	C₂	1	4	yes	maximal, complemented
8	C₂²×C₁₁×#97	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×C₁₁×#41	C₂²	1	2	yes	—
10	C₂³×C₈×C₁₁	C₂²	1	2	yes	—
11	C₁₁×#533	—	2	4	no	—
12	C₁₁×#533	C₂²	1	8	yes	complemented
13	C₁₁×#532	—	2	4	no	—
14	C₁₁×#532	C₂²	1	8	yes	—
15	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
16	C₂×C₁₁×C₄⋊Q₈	C₂²	1	2	yes	—
17	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic
18	C₂×C₁₁×#125	C₂²	1	2	yes	—
19	C₂×C₁₁×#124	C₂²	1	2	yes	—
20	C₂×C₁₁×C₂²⋊Q₈	—	2	2	no	—
21	C₂×C₁₁×#121	—	2	2	no	—
22	C₂×C₄×Q₈×C₁₁	—	2	2	no	—
23	C₂×C₄×D₄×C₁₁	—	2	2	no	—
24	C₂×C₁₁×#117	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×#489	C₂²	1	32	yes	complemented
29	C₁₁×#416	C₂²	1	32	yes	complemented
30	C₂×C₁₁×#103	C₂²	1	8	yes	—
31	C₂×C₁₁×#102	C₂²	1	8	yes	—
32	C₂×C₁₁×#97	C₂²	1	2	yes	—
33	C₂×C₁₁×#97	C₂²	1	2	yes	—
34	C₂×C₁₁×#97	C₂²	1	8	yes	complemented
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	—	2	2	no	—
39	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
40	C₂²×D₄×C₁₁	—	2	2	no	—
41	C₂²×D₄×C₁₁	—	2	2	no	—
42	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
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	C₂²×C₈×C₁₁	—	2	8	no	—
47	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
48	C₂²×C₈×C₁₁	C₂³	1	8	yes	—
49	C₁₁×C₄⋊Q₈	—	2	2	no	—
50	C₁₁×C₄⋊Q₈	—	2	4	no	—
51	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
52	C₁₁×C₄⋊Q₈	C₂³	1	8	yes	—
53	C₁₁×#127	—	2	2	no	—
54	C₁₁×#127	C₂³	1	4	yes	—
55	C₁₁×#125	—	2	4	no	—
56	C₁₁×#125	C₂³	1	8	yes	—
57	C₁₁×#124	—	2	4	no	—
58	C₁₁×#124	C₂³	1	8	yes	—
59	C₁₁×C₂²⋊Q₈	—	2	16	no	—
60	C₁₁×#121	—	2	16	no	—
61	C₄×Q₈×C₁₁	—	2	16	no	—
62	C₄×D₄×C₁₁	—	2	16	no	—
63	C₁₁×#117	—	2	4	no	—
64	C₁₁×#117	C₂³	1	8	yes	—
65	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
66	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
67	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
68	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
69	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
70	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
71	C₂×C₄²×C₁₁	—	2	2	no	—
72	C₂×C₄²×C₁₁	D₄	1	4	yes	—
73	C₂×C₄²×C₁₁	D₄	1	2	yes	—
74	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
75	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
76	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
77	C₁₁×#103	C₂³	1	32	yes	—
78	C₁₁×#102	C₂³	1	32	yes	—
79	C₁₁×#97	C₂³	1	8	yes	—
80	C₁₁×#97	C₂³	1	8	yes	—
81	C₂×#3135	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
82	C₂⁴×C₁₁	—	2	2	no	—
83	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
84	C₁₁×#41	—	2	32	no	—
85	C₁₁×#41	—	4	16	no	—
86	C₂×Q₈×C₁₁	—	2	8	no	—
87	C₂×Q₈×C₁₁	—	2	2	no	—
88	C₂×Q₈×C₁₁	—	2	8	no	—
89	C₂×Q₈×C₁₁	—	4	8	no	—
90	C₂×Q₈×C₁₁	C₂⁴	1	4	yes	—
91	C₂×D₄×C₁₁	—	2	8	no	—
92	C₂×D₄×C₁₁	—	2	8	no	—
93	C₂×D₄×C₁₁	—	2	2	no	—
94	C₂×D₄×C₁₁	—	2	8	no	—
95	C₂×D₄×C₁₁	—	4	8	no	—
96	C₂×D₄×C₁₁	—	4	8	no	—
97	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
98	C₂²×C₄×C₁₁	—	2	4	no	—
99	C₂²×C₄×C₁₁	—	2	2	no	—
100	C₂²×C₄×C₁₁	—	2	8	no	—
101	C₂²×C₄×C₁₁	—	4	4	no	—
102	C₂²×C₄×C₁₁	—	4	8	no	—
103	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
104	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
105	C₂²×C₄×C₁₁	C₂×D₄	1	8	yes	—
106	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
107	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
108	C₂²×C₄×C₁₁	#41	1	8	yes	—
109	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
110	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
111	C₂×C₈×C₁₁	—	2	8	no	—
112	C₂×C₈×C₁₁	—	2	16	no	—
113	C₂×C₈×C₁₁	C₂⁴	1	8	yes	—
114	C₁₁×C₄⋊C₄	—	2	8	no	—
115	C₁₁×C₄⋊C₄	—	2	16	no	—
116	C₁₁×C₄⋊C₄	—	2	8	no	—
117	C₁₁×C₄⋊C₄	—	2	4	no	—
118	C₁₁×C₄⋊C₄	C₂⁴	1	8	yes	—
119	C₁₁×C₂²⋊C₄	—	2	8	no	—
120	C₁₁×C₂²⋊C₄	—	2	16	no	—
121	C₄²×C₁₁	—	2	8	no	—
122	C₄²×C₁₁	C₂×D₄	1	8	yes	—
123	C₄²×C₁₁	C₂×D₄	1	2	yes	—
124	C₄²×C₁₁	C₂×D₄	1	2	yes	—
125	C₄²×C₁₁	C₂⁴	1	2	yes	—
126	C₄²×C₁₁	C₂⁴	1	2	yes	—
127	C₂×#533	C₂×C₁₁	1	1	yes	characteristic, complemented
128	C₂×#532	C₂×C₁₁	1	1	yes	characteristic
129	#3135	C₂×C₁₁	1	16	yes	direct product factor
130	C₂×#491	C₂×C₁₁	1	2	yes	complemented
131	C₂×#490	C₂×C₁₁	1	2	yes	complemented
132	C₂×#489	C₂×C₁₁	1	4	yes	complemented
133	C₂×#416	C₂×C₁₁	1	4	yes	complemented
134	C₂²×#97	C₂×C₁₁	1	1	yes	characteristic, complemented
135	C₂³×C₁₁	—	2	4	no	—
136	C₂³×C₁₁	—	2	4	no	—
137	C₂³×C₁₁	—	4	4	no	—
138	C₂³×C₁₁	—	4	8	no	—
139	C₂³×C₁₁	#124	1	4	yes	—
140	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
141	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
142	Q₈×C₁₁	—	2	8	no	—
143	Q₈×C₁₁	—	4	16	no	—
144	Q₈×C₁₁	—	4	4	no	—
145	D₄×C₁₁	—	2	8	no	—
146	D₄×C₁₁	—	4	16	no	—
147	D₄×C₁₁	—	4	16	no	—
148	D₄×C₁₁	—	4	4	no	—
149	C₂×C₄×C₁₁	—	2	4	no	—
150	C₂×C₄×C₁₁	—	2	4	no	—
151	C₂×C₄×C₁₁	—	2	8	no	—
152	C₂×C₄×C₁₁	—	2	4	no	—
153	C₂×C₄×C₁₁	—	4	8	no	—
154	C₂×C₄×C₁₁	—	4	4	no	—
155	C₂×C₄×C₁₁	—	4	8	no	—
156	C₂×C₄×C₁₁	—	4	16	no	—
157	C₂×C₄×C₁₁	#124	1	4	yes	—
158	C₂×C₄×C₁₁	#124	1	8	yes	—
159	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
160	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
161	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
162	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
164	C₂×C₄×C₁₁	C₂×#41	1	8	yes	—
165	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
166	C₈×C₁₁	—	2	8	no	—
167	C₂²×#41	C₂²×C₁₁	1	2	yes	—
168	C₂³×C₈	C₂²×C₁₁	1	2	yes	—
169	#533	—	2	4	no	—
170	#533	C₂²×C₁₁	1	8	yes	complemented
171	#532	—	2	4	no	—
172	#532	C₂²×C₁₁	1	8	yes	—
173	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
174	C₂×C₄⋊Q₈	C₂²×C₁₁	1	2	yes	—
175	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
176	C₂×#125	C₂²×C₁₁	1	2	yes	—
177	C₂×#124	C₂²×C₁₁	1	2	yes	—
178	C₂×C₂²⋊Q₈	—	2	2	no	—
179	C₂×#121	—	2	2	no	—
180	C₂×C₄×Q₈	—	2	2	no	—
181	C₂×C₄×D₄	—	2	2	no	—
182	C₂×#117	C₂²×C₁₁	1	2	yes	—
183	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
184	#491	C₂²×C₁₁	1	16	yes	complemented
185	#490	C₂²×C₁₁	1	16	yes	complemented
186	#489	C₂²×C₁₁	1	32	yes	complemented
187	#416	C₂²×C₁₁	1	32	yes	complemented
188	C₂×#103	C₂²×C₁₁	1	8	yes	—
189	C₂×#102	C₂²×C₁₁	1	8	yes	—
190	C₂×#97	C₂²×C₁₁	1	2	yes	—
191	C₂×#97	C₂²×C₁₁	1	2	yes	—
192	C₂×#97	C₂²×C₁₁	1	8	yes	complemented
193	C₂²×C₁₁	—	2	8	no	—
194	C₂²×C₁₁	—	2	4	no	—
195	C₂²×C₁₁	—	4	4	no	—
196	C₂²×C₁₁	—	4	8	no	—
197	C₂²×C₁₁	—	8	8	no	—
198	C₂²×C₁₁	C₂×#124	1	4	yes	—
199	C₂²×C₁₁	C₂×#124	1	2	yes	—
200	C₂²×C₁₁	#575	1	4	yes	—
201	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
202	C₄×C₁₁	—	2	4	no	—
203	C₄×C₁₁	—	2	4	no	—
204	C₄×C₁₁	—	4	4	no	—
205	C₄×C₁₁	—	4	8	no	—
206	C₄×C₁₁	C₂×#124	1	4	yes	—
207	C₄×C₁₁	C₂×#124	1	2	yes	—
208	C₄×C₁₁	C₂²×#41	1	2	yes	—
209	C₂×#41	—	2	4	no	—
210	C₂×#41	—	2	16	no	—
211	C₂×#41	C₂³×C₁₁	1	8	yes	—
212	C₂²×Q₈	—	2	2	no	—
213	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
214	C₂²×D₄	—	2	2	no	—
215	C₂²×D₄	—	2	2	no	—
216	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
217	C₂³×C₄	—	2	2	no	—
218	C₂³×C₄	D₄×C₁₁	1	2	yes	—
219	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
220	C₂²×C₈	—	2	8	no	—
221	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
222	C₂²×C₈	C₂³×C₁₁	1	8	yes	—
223	C₄⋊Q₈	—	2	2	no	—
224	C₄⋊Q₈	—	2	4	no	—
225	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
226	C₄⋊Q₈	C₂³×C₁₁	1	8	yes	—
227	#127	—	2	2	no	—
228	#127	C₂³×C₁₁	1	4	yes	—
229	#125	—	2	4	no	—
230	#125	C₂³×C₁₁	1	8	yes	—
231	#124	—	2	4	no	—
232	#124	C₂³×C₁₁	1	8	yes	—
233	C₂²⋊Q₈	—	2	16	no	—
234	#121	—	2	16	no	—
235	C₄×Q₈	—	2	16	no	—
236	C₄×D₄	—	2	16	no	—
237	#117	—	2	4	no	—
238	#117	C₂³×C₁₁	1	8	yes	—
239	C₂×C₄⋊C₄	—	2	2	no	—
240	C₂×C₄⋊C₄	—	2	4	no	—
241	C₂×C₄⋊C₄	—	2	2	no	—
242	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
243	C₂×C₂²⋊C₄	—	2	2	no	—
244	C₂×C₂²⋊C₄	—	2	4	no	—
245	C₂×C₄²	—	2	2	no	—
246	C₂×C₄²	D₄×C₁₁	1	2	yes	—
247	C₂×C₄²	D₄×C₁₁	1	4	yes	—
248	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
249	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
250	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
251	#103	C₂³×C₁₁	1	32	yes	—
252	#102	C₂³×C₁₁	1	32	yes	—
253	#97	C₂³×C₁₁	1	8	yes	—
254	#97	C₂³×C₁₁	1	8	yes	—
255	C₂×C₁₁	—	2	4	no	—
256	C₂×C₁₁	—	8	4	no	—
257	C₂×C₁₁	#3135	1	4	yes	direct product factor
258	C₂×C₁₁	C₂²×#124	1	1	yes	characteristic
259	C₂×C₁₁	C₂×#575	1	2	yes	—
260	C₂⁴	—	2	2	no	—
261	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
262	#41	—	2	32	no	—
263	#41	—	4	16	no	—
264	C₂×Q₈	—	2	8	no	—
265	C₂×Q₈	—	2	2	no	—
266	C₂×Q₈	—	2	8	no	—
267	C₂×Q₈	—	4	8	no	—
268	C₂×Q₈	C₂⁴×C₁₁	1	4	yes	—
269	C₂×D₄	—	2	8	no	—
270	C₂×D₄	—	2	8	no	—
271	C₂×D₄	—	2	2	no	—
272	C₂×D₄	—	2	8	no	—
273	C₂×D₄	—	4	8	no	—
274	C₂×D₄	—	4	8	no	—
275	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
276	C₂²×C₄	—	2	4	no	—
277	C₂²×C₄	—	2	2	no	—
278	C₂²×C₄	—	2	8	no	—
279	C₂²×C₄	—	4	4	no	—
280	C₂²×C₄	—	4	8	no	—
281	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
282	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
283	C₂²×C₄	C₂×D₄×C₁₁	1	8	yes	—
284	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
285	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
286	C₂²×C₄	C₁₁×#41	1	8	yes	—
287	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
288	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
289	C₂×C₈	—	2	8	no	—
290	C₂×C₈	—	2	16	no	—
291	C₂×C₈	C₂⁴×C₁₁	1	8	yes	—
292	C₄⋊C₄	—	2	8	no	—
293	C₄⋊C₄	—	2	16	no	—
294	C₄⋊C₄	—	2	8	no	—
295	C₄⋊C₄	—	2	4	no	—
296	C₄⋊C₄	C₂⁴×C₁₁	1	8	yes	—
297	C₂²⋊C₄	—	2	8	no	—
298	C₂²⋊C₄	—	2	16	no	—
299	C₄²	—	2	8	no	—
300	C₄²	C₂×D₄×C₁₁	1	8	yes	—
301	C₄²	C₂×D₄×C₁₁	1	2	yes	—
302	C₄²	C₂×D₄×C₁₁	1	2	yes	—
303	C₄²	C₂⁴×C₁₁	1	2	yes	—
304	C₄²	C₂⁴×C₁₁	1	2	yes	—
305	C₁₁	C₂×#3135	1	1	yes	characteristic, direct product factor, Sylow
306	C₂³	—	2	4	no	—
307	C₂³	—	2	4	no	—
308	C₂³	—	4	4	no	—
309	C₂³	—	4	8	no	—
310	C₂³	C₁₁×#124	1	4	yes	—
311	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
312	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
313	Q₈	—	2	8	no	—
314	Q₈	—	4	16	no	—
315	Q₈	—	4	4	no	—
316	D₄	—	2	8	no	—
317	D₄	—	4	16	no	—
318	D₄	—	4	16	no	—
319	D₄	—	4	4	no	—
320	C₂×C₄	—	2	4	no	—
321	C₂×C₄	—	2	4	no	—
322	C₂×C₄	—	2	8	no	—
323	C₂×C₄	—	2	4	no	—
324	C₂×C₄	—	4	8	no	—
325	C₂×C₄	—	4	4	no	—
326	C₂×C₄	—	4	8	no	—
327	C₂×C₄	—	4	16	no	—
328	C₂×C₄	C₁₁×#124	1	4	yes	—
329	C₂×C₄	C₁₁×#124	1	8	yes	—
330	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
331	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
332	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
333	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
334	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
335	C₂×C₄	C₂×C₁₁×#41	1	8	yes	—
336	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
337	C₈	—	2	8	no	—
338	C₂²	—	2	4	no	—
339	C₂²	—	2	8	no	—
340	C₂²	—	4	4	no	—
341	C₂²	—	4	8	no	—
342	C₂²	—	8	8	no	—
343	C₂²	C₂×C₁₁×#124	1	4	yes	—
344	C₂²	C₂×C₁₁×#124	1	2	yes	—
345	C₂²	C₁₁×#575	1	4	yes	—
346	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
347	C₄	—	2	4	no	—
348	C₄	—	2	4	no	—
349	C₄	—	4	4	no	—
350	C₄	—	4	8	no	—
351	C₄	C₂×C₁₁×#124	1	4	yes	—
352	C₄	C₂×C₁₁×#124	1	2	yes	—
353	C₄	C₂²×C₁₁×#41	1	2	yes	—
354	C₂	—	2	4	no	—
355	C₂	—	8	4	no	—
356	C₂	C₁₁×#3135	1	4	yes	direct product factor
357	C₂	C₂²×C₁₁×#124	1	1	yes	characteristic
358	C₂	C₂×C₁₁×#575	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₁×#533	C₂	semidirect
3. C₁₁×#3135	C₂	direct (N × H)
4. C₂×C₁₁×#491	C₂	semidirect
5. C₂×C₁₁×#490	C₂	semidirect
6. C₂×C₁₁×#489	C₂	semidirect
7. C₂×C₁₁×#416	C₂	semidirect
8. C₂²×C₁₁×#97	C₂	semidirect
12. C₁₁×#533	C₂²	semidirect
26. C₁₁×#491	C₂²	semidirect
27. C₁₁×#490	C₂²	semidirect
28. C₁₁×#489	C₂²	semidirect
29. C₁₁×#416	C₂²	semidirect
34. C₂×C₁₁×#97	C₂²	semidirect
81. C₂×#3135	C₁₁	direct (N × H)
127. C₂×#533	C₂×C₁₁	semidirect
129. #3135	C₂×C₁₁	direct (N × H)
130. C₂×#491	C₂×C₁₁	semidirect
131. C₂×#490	C₂×C₁₁	semidirect
132. C₂×#489	C₂×C₁₁	semidirect
133. C₂×#416	C₂×C₁₁	semidirect
134. C₂²×#97	C₂×C₁₁	semidirect
170. #533	C₂²×C₁₁	semidirect
184. #491	C₂²×C₁₁	semidirect
185. #490	C₂²×C₁₁	semidirect
186. #489	C₂²×C₁₁	semidirect
187. #416	C₂²×C₁₁	semidirect
192. C₂×#97	C₂²×C₁₁	semidirect
257. C₂×C₁₁	#3135	direct (N × H)
305. C₁₁	C₂×#3135	direct (N × H)
356. C₂	C₁₁×#3135	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×#533	2
C₂×C₁₁×#532	2
C₁₁×#3135	2
C₂×C₁₁×#491	2
C₂×C₁₁×#490	2
C₂×C₁₁×#489	2
C₂×C₁₁×#416	2
C₂²×C₁₁×#97	2
C₂×#3135	11

Subgroups — C2×C11×#3135 #14637802

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₁×#3135 #14637802