Subgroups — C₂×C₁₁×#2187 #14610704

Order 2816.

1382 conjugacy classes of subgroups.

The subgroup lattice has 336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×C₁₁×D₈	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₁₁×SD₃₂	C₂	1	2	yes	maximal, complemented
3	C₂×C₁₁×#467	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#2187	C₂	1	8	yes	maximal, direct product factor
5	C₂×C₁₁×#357	C₂	1	2	yes	maximal, complemented
6	C₂×C₁₁×C₂²⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂³×D₄×C₁₁	—	2	1	no	—
8	C₂²×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic, complemented
9	C₂²×C₁₁×D₈	—	2	8	no	—
10	C₂²×C₁₁×D₈	—	2	1	no	—
11	C₂²×C₁₁×D₈	—	2	2	no	—
12	C₂²×C₁₁×D₈	C₂²	1	4	yes	—
13	C₂²×C₁₁×D₈	C₂²	1	2	yes	—
14	C₂³×C₈×C₁₁	C₂²	1	1	yes	characteristic
15	C₂×C₁₁×C₂²⋊Q₈	—	2	1	no	—
16	C₂×C₁₁×SD₃₂	—	2	8	no	—
17	C₂×C₁₁×SD₃₂	C₂²	1	8	yes	complemented
18	C₂²×C₁₁×C₁₆	C₂²	1	2	yes	complemented
19	C₁₁×#467	—	2	2	no	—
20	C₁₁×#467	C₂²	1	4	yes	complemented
21	C₂×C₁₁×#107	C₂²	1	1	yes	characteristic, complemented
22	C₂×C₁₁×#103	—	2	1	no	—
23	C₁₁×#357	C₂²	1	8	yes	complemented
24	C₁₁×C₂²⋊C₁₆	C₂²	1	4	yes	complemented
25	C₂⁵×C₁₁	—	4	1	no	—
26	C₂²×Q₈×C₁₁	—	2	1	no	—
27	C₂²×D₄×C₁₁	—	2	8	no	—
28	C₂²×D₄×C₁₁	—	2	4	no	—
29	C₂²×D₄×C₁₁	—	2	2	no	—
30	C₂²×D₄×C₁₁	—	4	4	no	—
31	C₂²×D₄×C₁₁	—	4	2	no	—
32	C₂²×D₄×C₁₁	—	4	1	no	—
33	C₂³×C₄×C₁₁	D₄	1	1	yes	characteristic
34	C₂×C₁₁×Q₁₆	—	2	4	no	—
35	C₂×C₁₁×Q₁₆	—	2	1	no	—
36	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	complemented
37	C₂×C₁₁×D₈	—	2	16	no	—
38	C₂×C₁₁×D₈	—	2	8	no	—
39	C₂×C₁₁×D₈	—	2	16	no	—
40	C₂×C₁₁×D₈	—	2	4	no	—
41	C₂×C₁₁×D₈	—	2	4	no	—
42	C₂×C₁₁×D₈	—	2	2	no	—
43	C₂×C₁₁×D₈	D₄	1	8	yes	—
44	C₂×C₁₁×D₈	C₂³	1	4	yes	—
45	C₂²×C₈×C₁₁	—	2	4	no	—
46	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
47	C₂²×C₈×C₁₁	D₄	1	2	yes	—
48	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
49	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
50	C₁₁×C₂²⋊Q₈	—	2	4	no	—
51	C₁₁×C₂²⋊Q₈	—	4	2	no	—
52	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
53	C₂×C₁₁×C₄⋊C₄	—	4	1	no	—
54	C₂×C₁₁×C₂²⋊C₄	—	4	1	no	—
55	C₁₁×SD₃₂	—	2	16	no	—
56	C₂×C₁₁×C₁₆	—	2	4	no	—
57	C₂×C₁₁×C₁₆	C₂³	1	4	yes	complemented
58	C₁₁×#107	—	2	1	no	—
59	C₁₁×#107	C₂³	1	2	yes	complemented
60	C₁₁×#103	—	2	4	no	—
61	C₂×#2187	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
62	C₂⁴×C₁₁	—	4	8	no	—
63	C₂⁴×C₁₁	—	4	4	no	—
64	C₂⁴×C₁₁	—	4	2	no	—
65	C₂⁴×C₁₁	—	8	4	no	—
66	C₂⁴×C₁₁	—	8	4	no	—
67	C₂⁴×C₁₁	D₈	1	1	yes	characteristic
68	C₂×Q₈×C₁₁	—	2	2	no	—
69	C₂×Q₈×C₁₁	—	4	1	no	—
70	C₂×Q₈×C₁₁	—	4	2	no	—
71	C₂×Q₈×C₁₁	—	4	2	no	—
72	C₂×D₄×C₁₁	—	2	16	no	—
73	C₂×D₄×C₁₁	—	2	8	no	—
74	C₂×D₄×C₁₁	—	2	4	no	—
75	C₂×D₄×C₁₁	—	4	8	no	—
76	C₂×D₄×C₁₁	—	4	8	no	—
77	C₂×D₄×C₁₁	—	4	16	no	—
78	C₂×D₄×C₁₁	—	4	4	no	—
79	C₂×D₄×C₁₁	—	4	2	no	—
80	C₂×D₄×C₁₁	—	4	4	no	—
81	C₂²×C₄×C₁₁	—	2	2	no	—
82	C₂²×C₄×C₁₁	—	2	2	no	—
83	C₂²×C₄×C₁₁	—	4	1	no	—
84	C₂²×C₄×C₁₁	—	4	1	no	—
85	C₂²×C₄×C₁₁	D₈	1	2	yes	—
86	C₂²×C₄×C₁₁	D₈	1	1	yes	characteristic
87	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
88	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
89	C₁₁×Q₁₆	—	2	4	no	—
90	C₁₁×Q₁₆	—	4	2	no	—
91	C₁₁×D₈	—	2	16	no	—
92	C₁₁×D₈	—	2	8	no	—
93	C₁₁×D₈	—	2	4	no	—
94	C₁₁×D₈	C₂×D₄	1	8	yes	—
95	C₂×C₈×C₁₁	—	2	4	no	—
96	C₂×C₈×C₁₁	—	2	4	no	—
97	C₂×C₈×C₁₁	—	2	2	no	—
98	C₂×C₈×C₁₁	C₂×D₄	1	4	yes	—
99	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
100	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
101	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
102	C₁₁×C₄⋊C₄	—	2	2	no	—
103	C₁₁×C₄⋊C₄	—	4	1	no	—
104	C₁₁×C₄⋊C₄	—	4	4	no	—
105	C₁₁×C₂²⋊C₄	—	4	4	no	—
106	C₁₁×C₁₆	—	2	4	no	—
107	C₂³×D₈	C₂×C₁₁	1	1	yes	characteristic
108	C₂²×SD₃₂	C₂×C₁₁	1	2	yes	complemented
109	C₂×#467	C₂×C₁₁	1	1	yes	characteristic, complemented
110	#2187	C₂×C₁₁	1	8	yes	direct product factor
111	C₂×#357	C₂×C₁₁	1	2	yes	complemented
112	C₂×C₂²⋊C₁₆	C₂×C₁₁	1	1	yes	characteristic, complemented
113	C₂³×C₁₁	—	2	2	no	—
114	C₂³×C₁₁	—	2	2	no	—
115	C₂³×C₁₁	—	4	16	no	—
116	C₂³×C₁₁	—	4	4	no	—
117	C₂³×C₁₁	—	4	8	no	—
118	C₂³×C₁₁	—	8	8	no	—
119	C₂³×C₁₁	—	8	32	no	—
120	C₂³×C₁₁	—	8	4	no	—
121	C₂³×C₁₁	—	8	8	no	—
122	C₂³×C₁₁	—	8	4	no	—
123	C₂³×C₁₁	SD₃₂	1	4	yes	complemented
124	C₂³×C₁₁	C₂×D₈	1	2	yes	—
125	C₂³×C₁₁	C₂×D₈	1	1	yes	characteristic
126	Q₈×C₁₁	—	4	2	no	—
127	Q₈×C₁₁	—	4	2	no	—
128	Q₈×C₁₁	—	8	2	no	—
129	D₄×C₁₁	—	2	8	no	—
130	D₄×C₁₁	—	4	16	no	—
131	D₄×C₁₁	—	4	4	no	—
132	D₄×C₁₁	—	4	8	no	—
133	C₂×C₄×C₁₁	—	2	2	no	—
134	C₂×C₄×C₁₁	—	2	2	no	—
135	C₂×C₄×C₁₁	—	2	2	no	—
136	C₂×C₄×C₁₁	—	2	4	no	—
137	C₂×C₄×C₁₁	—	4	2	no	—
138	C₂×C₄×C₁₁	—	4	2	no	—
139	C₂×C₄×C₁₁	—	8	2	no	—
140	C₂×C₄×C₁₁	—	8	2	no	—
141	C₂×C₄×C₁₁	#120	1	2	yes	—
142	C₂×C₄×C₁₁	C₂×D₈	1	2	yes	—
143	C₂×C₄×C₁₁	C₂×D₈	1	1	yes	characteristic
144	C₂×C₄×C₁₁	AGL(1,ℤ/8)	1	2	yes	—
145	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
146	C₈×C₁₁	—	2	2	no	—
147	C₈×C₁₁	#120	1	2	yes	—
148	C₈×C₁₁	C₂²×D₄	1	2	yes	—
149	C₂³×D₄	—	2	1	no	—
150	C₂²×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
151	C₂²×D₈	—	2	8	no	—
152	C₂²×D₈	—	2	1	no	—
153	C₂²×D₈	—	2	2	no	—
154	C₂²×D₈	C₂²×C₁₁	1	4	yes	—
155	C₂²×D₈	C₂²×C₁₁	1	2	yes	—
156	C₂³×C₈	C₂²×C₁₁	1	1	yes	characteristic
157	C₂×C₂²⋊Q₈	—	2	1	no	—
158	C₂×SD₃₂	—	2	8	no	—
159	C₂×SD₃₂	C₂²×C₁₁	1	8	yes	complemented
160	C₂²×C₁₆	C₂²×C₁₁	1	2	yes	complemented
161	#467	—	2	2	no	—
162	#467	C₂²×C₁₁	1	4	yes	complemented
163	C₂×#107	C₂²×C₁₁	1	1	yes	characteristic, complemented
164	C₂×#103	—	2	1	no	—
165	#357	C₂²×C₁₁	1	8	yes	complemented
166	C₂²⋊C₁₆	C₂²×C₁₁	1	4	yes	complemented
167	C₂²×C₁₁	—	2	2	no	—
168	C₂²×C₁₁	—	2	8	no	—
169	C₂²×C₁₁	—	2	2	no	—
170	C₂²×C₁₁	—	4	8	no	—
171	C₂²×C₁₁	—	8	32	no	—
172	C₂²×C₁₁	—	8	4	no	—
173	C₂²×C₁₁	—	8	4	no	—
174	C₂²×C₁₁	—	8	16	no	—
175	C₂²×C₁₁	#447	1	2	yes	—
176	C₂²×C₁₁	C₂×SD₃₂	1	2	yes	—
177	C₂²×C₁₁	C₂×SD₃₂	1	4	yes	complemented
178	C₂²×C₁₁	#509	1	2	yes	—
179	C₂²×C₁₁	C₂²×D₈	1	1	yes	characteristic
180	C₄×C₁₁	—	2	2	no	—
181	C₄×C₁₁	—	8	2	no	—
182	C₄×C₁₁	—	8	2	no	—
183	C₄×C₁₁	#447	1	2	yes	—
184	C₄×C₁₁	C₂×#120	1	1	yes	characteristic
185	C₄×C₁₁	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
186	C₂⁵	—	4	1	no	—
187	C₂²×Q₈	—	2	1	no	—
188	C₂²×D₄	—	2	8	no	—
189	C₂²×D₄	—	2	4	no	—
190	C₂²×D₄	—	2	2	no	—
191	C₂²×D₄	—	4	4	no	—
192	C₂²×D₄	—	4	1	no	—
193	C₂²×D₄	—	4	2	no	—
194	C₂³×C₄	D₄×C₁₁	1	1	yes	characteristic
195	C₂×Q₁₆	—	2	4	no	—
196	C₂×Q₁₆	—	2	1	no	—
197	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	complemented
198	C₂×D₈	—	2	8	no	—
199	C₂×D₈	—	2	16	no	—
200	C₂×D₈	—	2	16	no	—
201	C₂×D₈	—	2	4	no	—
202	C₂×D₈	—	2	2	no	—
203	C₂×D₈	—	2	4	no	—
204	C₂×D₈	D₄×C₁₁	1	8	yes	—
205	C₂×D₈	C₂³×C₁₁	1	4	yes	—
206	C₂²×C₈	—	2	4	no	—
207	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
208	C₂²×C₈	D₄×C₁₁	1	2	yes	—
209	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
210	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
211	C₂²⋊Q₈	—	2	4	no	—
212	C₂²⋊Q₈	—	4	2	no	—
213	C₂×C₄⋊C₄	—	2	1	no	—
214	C₂×C₄⋊C₄	—	4	1	no	—
215	C₂×C₂²⋊C₄	—	4	1	no	—
216	SD₃₂	—	2	16	no	—
217	C₂×C₁₆	—	2	4	no	—
218	C₂×C₁₆	C₂³×C₁₁	1	4	yes	complemented
219	#107	—	2	1	no	—
220	#107	C₂³×C₁₁	1	2	yes	complemented
221	#103	—	2	4	no	—
222	C₂×C₁₁	—	2	4	no	—
223	C₂×C₁₁	—	8	8	no	—
224	C₂×C₁₁	#2187	1	4	yes	direct product factor
225	C₂×C₁₁	C₂×#447	1	1	yes	characteristic
226	C₂×C₁₁	C₂²×SD₃₂	1	1	yes	characteristic
227	C₂×C₁₁	C₂×#509	1	1	yes	characteristic
228	C₂⁴	—	4	8	no	—
229	C₂⁴	—	4	4	no	—
230	C₂⁴	—	4	2	no	—
231	C₂⁴	—	8	4	no	—
232	C₂⁴	—	8	4	no	—
233	C₂⁴	C₁₁×D₈	1	1	yes	characteristic
234	C₂×Q₈	—	2	2	no	—
235	C₂×Q₈	—	4	1	no	—
236	C₂×Q₈	—	4	2	no	—
237	C₂×Q₈	—	4	2	no	—
238	C₂×D₄	—	2	16	no	—
239	C₂×D₄	—	2	8	no	—
240	C₂×D₄	—	2	4	no	—
241	C₂×D₄	—	4	8	no	—
242	C₂×D₄	—	4	8	no	—
243	C₂×D₄	—	4	16	no	—
244	C₂×D₄	—	4	4	no	—
245	C₂×D₄	—	4	2	no	—
246	C₂×D₄	—	4	4	no	—
247	C₂²×C₄	—	2	2	no	—
248	C₂²×C₄	—	2	2	no	—
249	C₂²×C₄	—	4	1	no	—
250	C₂²×C₄	—	4	1	no	—
251	C₂²×C₄	C₁₁×D₈	1	1	yes	characteristic
252	C₂²×C₄	C₁₁×D₈	1	2	yes	—
253	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
254	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
255	Q₁₆	—	2	4	no	—
256	Q₁₆	—	4	2	no	—
257	D₈	—	2	16	no	—
258	D₈	—	2	8	no	—
259	D₈	—	2	4	no	—
260	D₈	C₂×D₄×C₁₁	1	8	yes	—
261	C₂×C₈	—	2	2	no	—
262	C₂×C₈	—	2	4	no	—
263	C₂×C₈	—	2	4	no	—
264	C₂×C₈	C₂×D₄×C₁₁	1	2	yes	—
265	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
266	C₂×C₈	C₂×D₄×C₁₁	1	4	yes	—
267	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
268	C₄⋊C₄	—	2	2	no	—
269	C₄⋊C₄	—	4	1	no	—
270	C₄⋊C₄	—	4	4	no	—
271	C₂²⋊C₄	—	4	4	no	—
272	C₁₆	—	2	4	no	—
273	C₁₁	C₂×#2187	1	1	yes	characteristic, direct product factor, Sylow
274	C₂³	—	2	2	no	—
275	C₂³	—	2	2	no	—
276	C₂³	—	4	16	no	—
277	C₂³	—	4	4	no	—
278	C₂³	—	4	8	no	—
279	C₂³	—	8	8	no	—
280	C₂³	—	8	32	no	—
281	C₂³	—	8	4	no	—
282	C₂³	—	8	8	no	—
283	C₂³	—	8	4	no	—
284	C₂³	C₁₁×SD₃₂	1	4	yes	complemented
285	C₂³	C₂×C₁₁×D₈	1	2	yes	—
286	C₂³	C₂×C₁₁×D₈	1	1	yes	characteristic
287	Q₈	—	4	2	no	—
288	Q₈	—	4	2	no	—
289	Q₈	—	8	2	no	—
290	D₄	—	2	8	no	—
291	D₄	—	4	16	no	—
292	D₄	—	4	4	no	—
293	D₄	—	4	8	no	—
294	C₂×C₄	—	2	2	no	—
295	C₂×C₄	—	2	2	no	—
296	C₂×C₄	—	2	2	no	—
297	C₂×C₄	—	2	4	no	—
298	C₂×C₄	—	4	2	no	—
299	C₂×C₄	—	4	2	no	—
300	C₂×C₄	—	8	2	no	—
301	C₂×C₄	—	8	2	no	—
302	C₂×C₄	C₁₁×#120	1	2	yes	—
303	C₂×C₄	C₂×C₁₁×D₈	1	2	yes	—
304	C₂×C₄	C₂×C₁₁×D₈	1	1	yes	characteristic
305	C₂×C₄	C₁₁×AGL(1,ℤ/8)	1	2	yes	—
306	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
307	C₈	—	2	2	no	—
308	C₈	C₁₁×#120	1	2	yes	—
309	C₈	C₂²×D₄×C₁₁	1	2	yes	—
310	C₂²	—	2	2	no	—
311	C₂²	—	2	8	no	—
312	C₂²	—	2	2	no	—
313	C₂²	—	4	8	no	—
314	C₂²	—	8	32	no	—
315	C₂²	—	8	4	no	—
316	C₂²	—	8	4	no	—
317	C₂²	—	8	16	no	—
318	C₂²	C₁₁×#447	1	2	yes	—
319	C₂²	C₂×C₁₁×SD₃₂	1	2	yes	—
320	C₂²	C₂×C₁₁×SD₃₂	1	4	yes	complemented
321	C₂²	C₁₁×#509	1	2	yes	—
322	C₂²	C₂²×C₁₁×D₈	1	1	yes	characteristic
323	C₄	—	2	2	no	—
324	C₄	—	8	2	no	—
325	C₄	—	8	2	no	—
326	C₄	C₁₁×#447	1	2	yes	—
327	C₄	C₂×C₁₁×#120	1	1	yes	characteristic
328	C₄	C₂×C₁₁×AGL(1,ℤ/8)	1	1	yes	characteristic
329	C₂	—	2	4	no	—
330	C₂	—	8	8	no	—
331	C₂	C₁₁×#2187	1	4	yes	direct product factor
332	C₂	C₂×C₁₁×#447	1	1	yes	characteristic
333	C₂	C₂²×C₁₁×SD₃₂	1	1	yes	characteristic
334	C₂	C₂×C₁₁×#509	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂×D₈
commutator, Frattini, cosocle	C₂×C₈	C₂⁴×C₁₁
prime radical	C₂³×C₁₁×D₈	C₂
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₁ ◁ C₂³×C₄×C₁₁ ◁ C₂³×C₈×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂²×C₁₁×SD₃₂	C₂	semidirect
3. C₂×C₁₁×#467	C₂	semidirect
4. C₁₁×#2187	C₂	direct (N × H)
5. C₂×C₁₁×#357	C₂	semidirect
6. C₂×C₁₁×C₂²⋊C₁₆	C₂	semidirect
8. C₂²×C₁₁×Q₁₆	C₂²	semidirect
17. C₂×C₁₁×SD₃₂	C₂²	semidirect
18. C₂²×C₁₁×C₁₆	C₂²	semidirect
20. C₁₁×#467	C₂²	semidirect
21. C₂×C₁₁×#107	C₂²	semidirect
23. C₁₁×#357	C₂²	semidirect
24. C₁₁×C₂²⋊C₁₆	C₂²	semidirect
36. C₂×C₁₁×Q₁₆	C₂³	semidirect
57. C₂×C₁₁×C₁₆	C₂³	semidirect
59. C₁₁×#107	C₂³	semidirect
61. C₂×#2187	C₁₁	direct (N × H)
108. C₂²×SD₃₂	C₂×C₁₁	semidirect
109. C₂×#467	C₂×C₁₁	semidirect
110. #2187	C₂×C₁₁	direct (N × H)
111. C₂×#357	C₂×C₁₁	semidirect
112. C₂×C₂²⋊C₁₆	C₂×C₁₁	semidirect
123. C₂³×C₁₁	SD₃₂	semidirect
150. C₂²×Q₁₆	C₂²×C₁₁	semidirect
159. C₂×SD₃₂	C₂²×C₁₁	semidirect
160. C₂²×C₁₆	C₂²×C₁₁	semidirect
162. #467	C₂²×C₁₁	semidirect
163. C₂×#107	C₂²×C₁₁	semidirect
165. #357	C₂²×C₁₁	semidirect
166. C₂²⋊C₁₆	C₂²×C₁₁	semidirect
177. C₂²×C₁₁	C₂×SD₃₂	semidirect
197. C₂×Q₁₆	C₂³×C₁₁	semidirect
218. C₂×C₁₆	C₂³×C₁₁	semidirect
220. #107	C₂³×C₁₁	semidirect
224. C₂×C₁₁	#2187	direct (N × H)
273. C₁₁	C₂×#2187	direct (N × H)
284. C₂³	C₁₁×SD₃₂	semidirect
320. C₂²	C₂×C₁₁×SD₃₂	semidirect
331. C₂	C₁₁×#2187	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×D₈	2
C₂²×C₁₁×SD₃₂	2
C₂×C₁₁×#467	2
C₁₁×#2187	2
C₂×C₁₁×#357	2
C₂×C₁₁×C₂²⋊C₁₆	2
C₂×#2187	11

Subgroups — C2×C11×#2187 #14610704

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₁×#2187 #14610704