Subgroups — C₂×C₁₁×#1719 #14596804

Order 2816.

850 conjugacy classes of subgroups.

The subgroup lattice has 372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#500	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₁×#492	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₁×#487	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₁×#487	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₁×#486	C₂	1	1	yes	maximal, characteristic
6	C₂×C₁₁×#486	C₂	1	1	yes	maximal, characteristic
7	C₁₁×#1719	C₂	1	8	yes	maximal, direct product factor
8	C₂×C₁₁×#322	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×C₁₁×SD₁₆	—	2	2	no	—
10	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
11	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
12	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
13	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic
14	C₁₁×#500	—	2	2	no	—
15	C₁₁×#500	C₂²	1	4	yes	complemented
16	C₁₁×#492	—	2	2	no	—
17	C₁₁×#492	C₂²	1	4	yes	—
18	C₁₁×#487	—	2	2	no	—
19	C₁₁×#487	—	2	2	no	—
20	C₁₁×#487	C₂²	1	4	yes	complemented
21	C₁₁×#487	C₂²	1	4	yes	complemented
22	C₁₁×#486	—	2	2	no	—
23	C₁₁×#486	—	2	2	no	—
24	C₁₁×#486	C₂²	1	4	yes	—
25	C₁₁×#486	C₂²	1	4	yes	—
26	C₂×C₁₁×#107	—	2	2	no	—
27	C₂×C₁₁×#103	—	2	2	no	—
28	C₂×C₁₁×#103	—	2	2	no	—
29	C₂×C₁₁×#102	—	2	2	no	—
30	C₂×C₁₁×#102	—	2	2	no	—
31	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
32	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
34	C₁₁×#322	C₂²	1	4	yes	complemented
35	C₂²×Q₈×C₁₁	—	2	1	no	—
36	C₂²×Q₈×C₁₁	—	2	1	no	—
37	C₂²×Q₈×C₁₁	—	2	1	no	—
38	C₂²×D₄×C₁₁	—	2	1	no	—
39	C₂²×D₄×C₁₁	—	2	1	no	—
40	C₂²×D₄×C₁₁	—	2	1	no	—
41	C₂×C₁₁×SD₁₆	—	2	8	no	—
42	C₂×C₁₁×SD₁₆	—	4	8	no	—
43	C₂²×C₈×C₁₁	D₄	1	2	yes	—
44	C₂²×C₈×C₁₁	D₄	1	2	yes	—
45	C₂²×C₈×C₁₁	D₄	1	2	yes	—
46	C₁₁×C₄⋊Q₈	—	2	1	no	—
47	C₁₁×C₄⋊Q₈	—	2	1	no	—
48	C₁₁×C₄⋊Q₈	—	2	1	no	—
49	C₁₁×C₄⋊Q₈	—	2	1	no	—
50	C₁₁×C₄⋊Q₈	—	2	1	no	—
51	C₁₁×C₄⋊Q₈	—	2	1	no	—
52	C₁₁×C₄⋊Q₈	—	2	1	no	—
53	C₁₁×C₄⋊Q₈	—	2	1	no	—
54	C₁₁×C₄⋊Q₈	—	2	1	no	—
55	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
56	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
57	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
58	C₁₁×#127	—	2	1	no	—
59	C₁₁×#127	—	2	1	no	—
60	C₁₁×#127	—	2	1	no	—
61	C₁₁×#127	C₂³	1	2	yes	—
62	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
63	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
64	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
65	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
66	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
67	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
68	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
69	C₁₁×#107	—	2	8	no	—
70	C₁₁×#103	—	2	8	no	—
71	C₁₁×#103	—	2	8	no	—
72	C₁₁×#102	—	2	8	no	—
73	C₁₁×#102	—	2	8	no	—
74	C₄×C₈×C₁₁	D₄	1	2	yes	—
75	C₄×C₈×C₁₁	D₄	1	2	yes	—
76	C₄×C₈×C₁₁	D₄	1	2	yes	—
77	C₄×C₈×C₁₁	C₂³	1	2	yes	—
78	C₄×C₈×C₁₁	C₂³	1	2	yes	—
79	C₄×C₈×C₁₁	C₂³	1	2	yes	—
80	C₂×#1719	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
81	C₂⁴×C₁₁	—	4	1	no	—
82	C₂×Q₈×C₁₁	—	2	2	no	—
83	C₂×Q₈×C₁₁	—	2	2	no	—
84	C₂×Q₈×C₁₁	—	2	2	no	—
85	C₂×Q₈×C₁₁	—	4	1	no	—
86	C₂×Q₈×C₁₁	—	4	1	no	—
87	C₂×Q₈×C₁₁	—	4	1	no	—
88	C₂×Q₈×C₁₁	—	4	4	no	—
89	C₂×Q₈×C₁₁	—	4	4	no	—
90	C₂×Q₈×C₁₁	—	4	4	no	—
91	C₂×D₄×C₁₁	—	2	2	no	—
92	C₂×D₄×C₁₁	—	2	2	no	—
93	C₂×D₄×C₁₁	—	2	2	no	—
94	C₂×D₄×C₁₁	—	4	1	no	—
95	C₂×D₄×C₁₁	—	4	1	no	—
96	C₂×D₄×C₁₁	—	4	1	no	—
97	C₂×D₄×C₁₁	—	4	4	no	—
98	C₂×D₄×C₁₁	—	4	4	no	—
99	C₂×D₄×C₁₁	—	4	4	no	—
100	C₂²×C₄×C₁₁	—	4	1	no	—
101	C₂²×C₄×C₁₁	—	4	1	no	—
102	C₂²×C₄×C₁₁	—	4	1	no	—
103	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
104	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
105	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
106	C₁₁×SD₁₆	—	4	16	no	—
107	C₂×C₈×C₁₁	—	2	4	no	—
108	C₂×C₈×C₁₁	—	2	4	no	—
109	C₂×C₈×C₁₁	—	2	4	no	—
110	C₂×C₈×C₁₁	C₂×D₄	1	4	yes	—
111	C₂×C₈×C₁₁	C₂×D₄	1	4	yes	—
112	C₂×C₈×C₁₁	C₂×D₄	1	4	yes	—
113	C₁₁×C₄⋊C₄	—	2	2	no	—
114	C₁₁×C₄⋊C₄	—	2	2	no	—
115	C₁₁×C₄⋊C₄	—	2	2	no	—
116	C₁₁×C₄⋊C₄	—	2	2	no	—
117	C₁₁×C₄⋊C₄	—	2	2	no	—
118	C₁₁×C₄⋊C₄	—	2	2	no	—
119	C₁₁×C₄⋊C₄	—	4	1	no	—
120	C₁₁×C₄⋊C₄	—	4	1	no	—
121	C₁₁×C₄⋊C₄	—	4	1	no	—
122	C₁₁×C₄⋊C₄	—	4	1	no	—
123	C₁₁×C₄⋊C₄	—	4	1	no	—
124	C₁₁×C₄⋊C₄	—	4	1	no	—
125	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
126	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
127	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
128	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
129	C₂×#500	C₂×C₁₁	1	1	yes	characteristic, complemented
130	C₂×#492	C₂×C₁₁	1	1	yes	characteristic
131	C₂×#487	C₂×C₁₁	1	1	yes	characteristic, complemented
132	C₂×#487	C₂×C₁₁	1	1	yes	characteristic, complemented
133	C₂×#486	C₂×C₁₁	1	1	yes	characteristic
134	C₂×#486	C₂×C₁₁	1	1	yes	characteristic
135	#1719	C₂×C₁₁	1	8	yes	direct product factor
136	C₂×#322	C₂×C₁₁	1	1	yes	characteristic, complemented
137	C₂³×C₁₁	—	4	2	no	—
138	C₂³×C₁₁	—	8	2	no	—
139	C₂³×C₁₁	—	8	2	no	—
140	C₂³×C₁₁	—	8	2	no	—
141	C₂³×C₁₁	#127	1	1	yes	characteristic
142	Q₈×C₁₁	—	4	4	no	—
143	Q₈×C₁₁	—	4	4	no	—
144	Q₈×C₁₁	—	4	4	no	—
145	Q₈×C₁₁	—	8	2	no	—
146	Q₈×C₁₁	—	8	2	no	—
147	Q₈×C₁₁	—	8	2	no	—
148	D₄×C₁₁	—	4	4	no	—
149	D₄×C₁₁	—	4	4	no	—
150	D₄×C₁₁	—	4	4	no	—
151	D₄×C₁₁	—	8	2	no	—
152	D₄×C₁₁	—	8	2	no	—
153	D₄×C₁₁	—	8	2	no	—
154	C₂×C₄×C₁₁	—	4	2	no	—
155	C₂×C₄×C₁₁	—	4	2	no	—
156	C₂×C₄×C₁₁	—	4	2	no	—
157	C₂×C₄×C₁₁	—	8	2	no	—
158	C₂×C₄×C₁₁	—	8	2	no	—
159	C₂×C₄×C₁₁	—	8	2	no	—
160	C₂×C₄×C₁₁	#127	1	1	yes	characteristic
161	C₂×C₄×C₁₁	#127	1	1	yes	characteristic
162	C₂×C₄×C₁₁	#127	1	1	yes	characteristic
163	C₂×C₄×C₁₁	#135	1	4	yes	—
164	C₂×C₄×C₁₁	AGL(1,ℤ/8)	1	4	yes	—
165	C₂×C₄×C₁₁	#137	1	4	yes	—
166	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
167	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
168	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
169	C₈×C₁₁	—	2	4	no	—
170	C₈×C₁₁	—	2	4	no	—
171	C₈×C₁₁	—	2	4	no	—
172	C₂²×SD₁₆	—	2	2	no	—
173	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
174	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
175	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
176	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
177	#500	—	2	2	no	—
178	#500	C₂²×C₁₁	1	4	yes	complemented
179	#492	—	2	2	no	—
180	#492	C₂²×C₁₁	1	4	yes	—
181	#487	—	2	2	no	—
182	#487	—	2	2	no	—
183	#487	C₂²×C₁₁	1	4	yes	complemented
184	#487	C₂²×C₁₁	1	4	yes	complemented
185	#486	—	2	2	no	—
186	#486	—	2	2	no	—
187	#486	C₂²×C₁₁	1	4	yes	—
188	#486	C₂²×C₁₁	1	4	yes	—
189	C₂×#107	—	2	2	no	—
190	C₂×#103	—	2	2	no	—
191	C₂×#103	—	2	2	no	—
192	C₂×#102	—	2	2	no	—
193	C₂×#102	—	2	2	no	—
194	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
195	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
196	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
197	#322	C₂²×C₁₁	1	4	yes	complemented
198	C₂²×C₁₁	—	8	2	no	—
199	C₂²×C₁₁	—	8	2	no	—
200	C₂²×C₁₁	—	8	2	no	—
201	C₂²×C₁₁	—	16	4	no	—
202	C₂²×C₁₁	#495	1	2	yes	—
203	C₂²×C₁₁	#496	1	2	yes	—
204	C₂²×C₁₁	#497	1	2	yes	—
205	C₂²×C₁₁	C₂×#127	1	1	yes	characteristic
206	C₄×C₁₁	—	8	2	no	—
207	C₄×C₁₁	—	8	2	no	—
208	C₄×C₁₁	—	8	2	no	—
209	C₄×C₁₁	#495	1	2	yes	—
210	C₄×C₁₁	#496	1	2	yes	—
211	C₄×C₁₁	#497	1	2	yes	—
212	C₄×C₁₁	C₂×#135	1	2	yes	—
213	C₄×C₁₁	C₂×AGL(1,ℤ/8)	1	2	yes	—
214	C₄×C₁₁	C₂×#137	1	2	yes	—
215	C₂²×Q₈	—	2	1	no	—
216	C₂²×Q₈	—	2	1	no	—
217	C₂²×Q₈	—	2	1	no	—
218	C₂²×D₄	—	2	1	no	—
219	C₂²×D₄	—	2	1	no	—
220	C₂²×D₄	—	2	1	no	—
221	C₂×SD₁₆	—	2	8	no	—
222	C₂×SD₁₆	—	4	8	no	—
223	C₂²×C₈	D₄×C₁₁	1	2	yes	—
224	C₂²×C₈	D₄×C₁₁	1	2	yes	—
225	C₂²×C₈	D₄×C₁₁	1	2	yes	—
226	C₄⋊Q₈	—	2	1	no	—
227	C₄⋊Q₈	—	2	1	no	—
228	C₄⋊Q₈	—	2	1	no	—
229	C₄⋊Q₈	—	2	1	no	—
230	C₄⋊Q₈	—	2	1	no	—
231	C₄⋊Q₈	—	2	1	no	—
232	C₄⋊Q₈	—	2	1	no	—
233	C₄⋊Q₈	—	2	1	no	—
234	C₄⋊Q₈	—	2	1	no	—
235	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
236	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
237	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
238	#127	—	2	1	no	—
239	#127	—	2	1	no	—
240	#127	—	2	1	no	—
241	#127	C₂³×C₁₁	1	2	yes	—
242	C₂×C₄⋊C₄	—	2	1	no	—
243	C₂×C₄⋊C₄	—	2	1	no	—
244	C₂×C₄⋊C₄	—	2	1	no	—
245	C₂×C₄⋊C₄	—	2	1	no	—
246	C₂×C₄⋊C₄	—	2	1	no	—
247	C₂×C₄⋊C₄	—	2	1	no	—
248	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
249	#107	—	2	8	no	—
250	#103	—	2	8	no	—
251	#103	—	2	8	no	—
252	#102	—	2	8	no	—
253	#102	—	2	8	no	—
254	C₄×C₈	D₄×C₁₁	1	2	yes	—
255	C₄×C₈	D₄×C₁₁	1	2	yes	—
256	C₄×C₈	D₄×C₁₁	1	2	yes	—
257	C₄×C₈	C₂³×C₁₁	1	2	yes	—
258	C₄×C₈	C₂³×C₁₁	1	2	yes	—
259	C₄×C₈	C₂³×C₁₁	1	2	yes	—
260	C₂×C₁₁	—	16	2	no	—
261	C₂×C₁₁	#1719	1	4	yes	direct product factor
262	C₂×C₁₁	C₂×#495	1	1	yes	characteristic
263	C₂×C₁₁	C₂×#496	1	1	yes	characteristic
264	C₂×C₁₁	C₂×#497	1	1	yes	characteristic
265	C₂⁴	—	4	1	no	—
266	C₂×Q₈	—	2	2	no	—
267	C₂×Q₈	—	2	2	no	—
268	C₂×Q₈	—	2	2	no	—
269	C₂×Q₈	—	4	1	no	—
270	C₂×Q₈	—	4	1	no	—
271	C₂×Q₈	—	4	1	no	—
272	C₂×Q₈	—	4	4	no	—
273	C₂×Q₈	—	4	4	no	—
274	C₂×Q₈	—	4	4	no	—
275	C₂×D₄	—	2	2	no	—
276	C₂×D₄	—	2	2	no	—
277	C₂×D₄	—	2	2	no	—
278	C₂×D₄	—	4	1	no	—
279	C₂×D₄	—	4	1	no	—
280	C₂×D₄	—	4	1	no	—
281	C₂×D₄	—	4	4	no	—
282	C₂×D₄	—	4	4	no	—
283	C₂×D₄	—	4	4	no	—
284	C₂²×C₄	—	4	1	no	—
285	C₂²×C₄	—	4	1	no	—
286	C₂²×C₄	—	4	1	no	—
287	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
288	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
289	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
290	SD₁₆	—	4	16	no	—
291	C₂×C₈	—	2	4	no	—
292	C₂×C₈	—	2	4	no	—
293	C₂×C₈	—	2	4	no	—
294	C₂×C₈	C₂×D₄×C₁₁	1	4	yes	—
295	C₂×C₈	C₂×D₄×C₁₁	1	4	yes	—
296	C₂×C₈	C₂×D₄×C₁₁	1	4	yes	—
297	C₄⋊C₄	—	2	2	no	—
298	C₄⋊C₄	—	2	2	no	—
299	C₄⋊C₄	—	2	2	no	—
300	C₄⋊C₄	—	2	2	no	—
301	C₄⋊C₄	—	2	2	no	—
302	C₄⋊C₄	—	2	2	no	—
303	C₄⋊C₄	—	4	1	no	—
304	C₄⋊C₄	—	4	1	no	—
305	C₄⋊C₄	—	4	1	no	—
306	C₄⋊C₄	—	4	1	no	—
307	C₄⋊C₄	—	4	1	no	—
308	C₄⋊C₄	—	4	1	no	—
309	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
310	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
311	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
312	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
313	C₁₁	C₂×#1719	1	1	yes	characteristic, direct product factor, Sylow
314	C₂³	—	4	2	no	—
315	C₂³	—	8	2	no	—
316	C₂³	—	8	2	no	—
317	C₂³	—	8	2	no	—
318	C₂³	C₁₁×#127	1	1	yes	characteristic
319	Q₈	—	4	4	no	—
320	Q₈	—	4	4	no	—
321	Q₈	—	4	4	no	—
322	Q₈	—	8	2	no	—
323	Q₈	—	8	2	no	—
324	Q₈	—	8	2	no	—
325	D₄	—	4	4	no	—
326	D₄	—	4	4	no	—
327	D₄	—	4	4	no	—
328	D₄	—	8	2	no	—
329	D₄	—	8	2	no	—
330	D₄	—	8	2	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	4	2	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	8	2	no	—
335	C₂×C₄	—	8	2	no	—
336	C₂×C₄	—	8	2	no	—
337	C₂×C₄	C₁₁×#127	1	1	yes	characteristic
338	C₂×C₄	C₁₁×#127	1	1	yes	characteristic
339	C₂×C₄	C₁₁×#127	1	1	yes	characteristic
340	C₂×C₄	C₁₁×#135	1	4	yes	—
341	C₂×C₄	C₁₁×AGL(1,ℤ/8)	1	4	yes	—
342	C₂×C₄	C₁₁×#137	1	4	yes	—
343	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
344	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
345	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
346	C₈	—	2	4	no	—
347	C₈	—	2	4	no	—
348	C₈	—	2	4	no	—
349	C₂²	—	8	2	no	—
350	C₂²	—	8	2	no	—
351	C₂²	—	8	2	no	—
352	C₂²	—	16	4	no	—
353	C₂²	C₁₁×#495	1	2	yes	—
354	C₂²	C₁₁×#496	1	2	yes	—
355	C₂²	C₁₁×#497	1	2	yes	—
356	C₂²	C₂×C₁₁×#127	1	1	yes	characteristic
357	C₄	—	8	2	no	—
358	C₄	—	8	2	no	—
359	C₄	—	8	2	no	—
360	C₄	C₁₁×#495	1	2	yes	—
361	C₄	C₁₁×#496	1	2	yes	—
362	C₄	C₁₁×#497	1	2	yes	—
363	C₄	C₂×C₁₁×#135	1	2	yes	—
364	C₄	C₂×C₁₁×AGL(1,ℤ/8)	1	2	yes	—
365	C₄	C₂×C₁₁×#137	1	2	yes	—
366	C₂	—	16	2	no	—
367	C₂	C₁₁×#1719	1	4	yes	direct product factor
368	C₂	C₂×C₁₁×#495	1	1	yes	characteristic
369	C₂	C₂×C₁₁×#496	1	1	yes	characteristic
370	C₂	C₂×C₁₁×#497	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	#127
commutator, Frattini, cosocle	C₄²	C₂⁴×C₁₁
prime radical	C₂×C₁₁×#127	C₂²
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₁ ◁ C₂×C₄²×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₁×#500	C₂	semidirect
3. C₂×C₁₁×#487	C₂	semidirect
4. C₂×C₁₁×#487	C₂	semidirect
7. C₁₁×#1719	C₂	direct (N × H)
8. C₂×C₁₁×#322	C₂	semidirect
15. C₁₁×#500	C₂²	semidirect
20. C₁₁×#487	C₂²	semidirect
21. C₁₁×#487	C₂²	semidirect
34. C₁₁×#322	C₂²	semidirect
80. C₂×#1719	C₁₁	direct (N × H)
129. C₂×#500	C₂×C₁₁	semidirect
131. C₂×#487	C₂×C₁₁	semidirect
132. C₂×#487	C₂×C₁₁	semidirect
135. #1719	C₂×C₁₁	direct (N × H)
136. C₂×#322	C₂×C₁₁	semidirect
178. #500	C₂²×C₁₁	semidirect
183. #487	C₂²×C₁₁	semidirect
184. #487	C₂²×C₁₁	semidirect
197. #322	C₂²×C₁₁	semidirect
261. C₂×C₁₁	#1719	direct (N × H)
313. C₁₁	C₂×#1719	direct (N × H)
367. C₂	C₁₁×#1719	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×#500	2
C₂×C₁₁×#492	2
C₂×C₁₁×#487	2
C₂×C₁₁×#486	2
C₁₁×#1719	2
C₂×C₁₁×#322	2
C₂×#1719	11

Subgroups — C2×C11×#1719 #14596804

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₁×#1719 #14596804