Subgroups — C₁₁×#19206 #14596399

Order 2816.

678 conjugacy classes of subgroups.

The subgroup lattice has 370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3246	C₂	1	2	yes	maximal, complemented
2	C₁₁×#3147	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#2960	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#1686	C₂	1	4	yes	maximal, complemented
5	C₁₁×#1670	C₂	1	2	yes	maximal, complemented
6	C₁₁×#1668	C₂	1	2	yes	maximal, complemented
7	C₂×C₁₁×#335	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#1547	C₂	1	2	yes	maximal, complemented
9	C₂×C₁₁×#135	—	2	1	no	—
10	C₂×C₁₁×#135	—	2	1	no	—
11	C₁₁×#533	C₂²	1	1	yes	characteristic
12	C₁₁×#532	C₂²	1	2	yes	—
13	C₁₁×#495	—	2	1	no	—
14	C₁₁×#495	—	2	1	no	—
15	C₁₁×#494	C₂²	1	1	yes	characteristic
16	C₁₁×#493	C₂²	1	1	yes	characteristic
17	C₁₁×#492	C₂²	1	2	yes	—
18	C₁₁×#476	—	2	2	no	—
19	C₁₁×#475	C₂²	1	4	yes	—
20	C₁₁×#465	—	2	4	no	—
21	C₁₁×#461	—	2	2	no	—
22	C₁₁×#460	C₂²	1	4	yes	—
23	C₁₁×#446	—	2	1	no	—
24	C₁₁×#446	C₂²	1	2	yes	—
25	C₈×Q₈×C₁₁	—	2	1	no	—
26	C₈×Q₈×C₁₁	C₂²	1	2	yes	—
27	C₁₁×#424	—	2	1	no	—
28	C₁₁×#423	C₂²	1	1	yes	characteristic
29	C₂×C₁₁×C₄⋊C₈	C₂²	1	2	yes	—
30	C₁₁×#405	—	2	1	no	—
31	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
32	C₁₁×#335	C₂²	1	2	yes	—
33	C₁₁×#335	C₂²	1	2	yes	—
34	C₁₁×#332	C₂²	1	4	yes	—
35	C₁₁×#331	C₂²	1	4	yes	—
36	C₂×C₁₁×#41	—	2	2	no	—
37	C₁₁×#135	—	4	4	no	—
38	C₁₁×#135	—	4	4	no	—
39	C₂×C₁₁×Q₁₆	—	2	1	no	—
40	C₂×C₁₁×Q₁₆	—	2	1	no	—
41	C₂×C₁₁×SD₁₆	—	2	4	no	—
42	C₂×C₁₁×SD₁₆	—	2	2	no	—
43	C₂×C₁₁×SD₁₆	—	2	2	no	—
44	C₂×C₁₁×D₈	—	2	1	no	—
45	C₂×C₁₁×D₈	—	2	1	no	—
46	C₂×C₁₁×M₁₆	—	2	1	no	—
47	C₂²×C₈×C₁₁	—	2	2	no	—
48	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
49	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
50	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
51	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
52	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
53	C₁₁×#127	C₂³	1	2	yes	—
54	C₁₁×#125	—	2	1	no	—
55	C₁₁×#124	—	2	2	no	—
56	C₁₁×C₂²⋊Q₈	—	2	1	no	—
57	C₁₁×C₂²⋊Q₈	D₄	1	2	yes	—
58	C₁₁×#121	—	2	2	no	—
59	C₁₁×#121	—	2	2	no	—
60	C₄×Q₈×C₁₁	—	2	1	no	—
61	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
62	C₄×D₄×C₁₁	—	2	2	no	—
63	C₄×D₄×C₁₁	—	2	2	no	—
64	C₁₁×#117	—	2	1	no	—
65	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
66	C₁₁×#106	—	2	4	no	—
67	C₁₁×C₄⋊C₈	—	2	2	no	—
68	C₁₁×C₄⋊C₈	—	2	2	no	—
69	C₁₁×C₄⋊C₈	—	2	2	no	—
70	C₁₁×C₄⋊C₈	—	2	1	no	—
71	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
72	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
73	C₁₁×#103	—	2	4	no	—
74	C₁₁×#102	—	2	4	no	—
75	C₁₁×#97	—	2	2	no	—
76	C₄×C₈×C₁₁	—	2	2	no	—
77	C₄×C₈×C₁₁	D₄	1	1	yes	characteristic
78	C₄×C₈×C₁₁	D₄	1	1	yes	characteristic
79	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
80	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
81	#19206	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
82	C₁₁×#41	—	4	4	no	—
83	C₁₁×#41	—	4	4	no	—
84	C₂×Q₈×C₁₁	—	2	1	no	—
85	C₂×Q₈×C₁₁	—	2	2	no	—
86	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
87	C₂×D₄×C₁₁	—	2	2	no	—
88	C₂×D₄×C₁₁	—	2	2	no	—
89	C₂×D₄×C₁₁	—	2	2	no	—
90	C₂×D₄×C₁₁	—	4	2	no	—
91	C₂²×C₄×C₁₁	—	4	2	no	—
92	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
95	C₁₁×Q₁₆	—	4	2	no	—
96	C₁₁×Q₁₆	—	4	2	no	—
97	C₁₁×SD₁₆	—	4	4	no	—
98	C₁₁×SD₁₆	—	4	4	no	—
99	C₁₁×SD₁₆	—	8	4	no	—
100	C₁₁×D₈	—	4	2	no	—
101	C₁₁×D₈	—	4	2	no	—
102	C₁₁×M₁₆	—	4	2	no	—
103	C₂×C₈×C₁₁	—	2	2	no	—
104	C₂×C₈×C₁₁	—	2	2	no	—
105	C₂×C₈×C₁₁	—	2	4	no	—
106	C₂×C₈×C₁₁	—	8	2	no	—
107	C₂×C₈×C₁₁	SD₁₆	1	4	yes	complemented
108	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
109	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
110	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
111	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
112	C₁₁×C₄⋊C₄	—	2	1	no	—
113	C₁₁×C₄⋊C₄	—	2	1	no	—
114	C₁₁×C₄⋊C₄	—	2	1	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	C₂×D₄	1	2	yes	—
120	C₁₁×C₂²⋊C₄	—	2	2	no	—
121	C₁₁×C₂²⋊C₄	—	4	2	no	—
122	C₁₁×C₂²⋊C₄	—	4	2	no	—
123	C₄²×C₁₁	—	2	2	no	—
124	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
126	C₄²×C₁₁	#41	1	1	yes	characteristic
127	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
128	#3246	C₂×C₁₁	1	2	yes	complemented
129	#3147	C₂×C₁₁	1	1	yes	characteristic
130	#2960	C₂×C₁₁	1	1	yes	characteristic, complemented
131	#1686	C₂×C₁₁	1	4	yes	complemented
132	#1670	C₂×C₁₁	1	2	yes	complemented
133	#1668	C₂×C₁₁	1	2	yes	complemented
134	C₂×#335	C₂×C₁₁	1	1	yes	characteristic, complemented
135	#1547	C₂×C₁₁	1	2	yes	complemented
136	C₂³×C₁₁	—	4	2	no	—
137	C₂³×C₁₁	#121	1	1	yes	characteristic
138	Q₈×C₁₁	—	2	2	no	—
139	Q₈×C₁₁	—	2	2	no	—
140	Q₈×C₁₁	—	4	2	no	—
141	Q₈×C₁₁	—	4	2	no	—
142	Q₈×C₁₁	—	4	2	no	—
143	D₄×C₁₁	—	4	2	no	—
144	D₄×C₁₁	—	4	2	no	—
145	D₄×C₁₁	—	4	2	no	—
146	D₄×C₁₁	—	4	2	no	—
147	D₄×C₁₁	—	8	2	no	—
148	D₄×C₁₁	—	8	4	no	—
149	C₂×C₄×C₁₁	—	2	1	no	—
150	C₂×C₄×C₁₁	—	2	1	no	—
151	C₂×C₄×C₁₁	—	2	2	no	—
152	C₂×C₄×C₁₁	—	2	2	no	—
153	C₂×C₄×C₁₁	—	4	1	no	—
154	C₂×C₄×C₁₁	—	4	2	no	—
155	C₂×C₄×C₁₁	—	8	4	no	—
156	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
157	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
158	C₂×C₄×C₁₁	#121	1	1	yes	characteristic
159	C₂×C₄×C₁₁	C₂×SD₁₆	1	2	yes	—
160	C₂×C₄×C₁₁	AGL(1,ℤ/8)	1	2	yes	—
161	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
162	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
164	C₈×C₁₁	—	2	1	no	—
165	C₈×C₁₁	—	2	1	no	—
166	C₈×C₁₁	—	4	2	no	—
167	C₈×C₁₁	—	4	4	no	—
168	C₈×C₁₁	C₂×SD₁₆	1	2	yes	—
169	C₈×C₁₁	C₂×SD₁₆	1	2	yes	—
170	C₂×#135	—	2	1	no	—
171	C₂×#135	—	2	1	no	—
172	#533	C₂²×C₁₁	1	1	yes	characteristic
173	#532	C₂²×C₁₁	1	2	yes	—
174	#495	—	2	1	no	—
175	#495	—	2	1	no	—
176	#494	C₂²×C₁₁	1	1	yes	characteristic
177	#493	C₂²×C₁₁	1	1	yes	characteristic
178	#492	C₂²×C₁₁	1	2	yes	—
179	#476	—	2	2	no	—
180	#475	C₂²×C₁₁	1	4	yes	—
181	#465	—	2	4	no	—
182	#461	—	2	2	no	—
183	#460	C₂²×C₁₁	1	4	yes	—
184	#446	—	2	1	no	—
185	#446	C₂²×C₁₁	1	2	yes	—
186	C₈×Q₈	—	2	1	no	—
187	C₈×Q₈	C₂²×C₁₁	1	2	yes	—
188	#424	—	2	1	no	—
189	#423	C₂²×C₁₁	1	1	yes	characteristic
190	C₂×C₄⋊C₈	C₂²×C₁₁	1	2	yes	—
191	#405	—	2	1	no	—
192	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
193	#335	C₂²×C₁₁	1	2	yes	—
194	#335	C₂²×C₁₁	1	2	yes	—
195	#332	C₂²×C₁₁	1	4	yes	—
196	#331	C₂²×C₁₁	1	4	yes	—
197	C₂²×C₁₁	—	2	1	no	—
198	C₂²×C₁₁	—	2	1	no	—
199	C₂²×C₁₁	—	8	2	no	—
200	C₂²×C₁₁	—	8	2	no	—
201	C₂²×C₁₁	—	8	2	no	—
202	C₂²×C₁₁	#460	1	2	yes	—
203	C₂²×C₁₁	C₂×#121	1	1	yes	characteristic
204	C₄×C₁₁	—	2	1	no	—
205	C₄×C₁₁	—	2	1	no	—
206	C₄×C₁₁	—	2	1	no	—
207	C₄×C₁₁	—	4	2	no	—
208	C₄×C₁₁	—	4	2	no	—
209	C₄×C₁₁	—	8	2	no	—
210	C₄×C₁₁	#460	1	2	yes	—
211	C₄×C₁₁	C₂²×SD₁₆	1	1	yes	characteristic
212	C₄×C₁₁	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
213	C₄×C₁₁	#576	1	1	yes	characteristic
214	C₄×C₁₁	#578	1	1	yes	characteristic
215	C₂×#41	—	2	2	no	—
216	#135	—	4	4	no	—
217	#135	—	4	4	no	—
218	C₂×Q₁₆	—	2	1	no	—
219	C₂×Q₁₆	—	2	1	no	—
220	C₂×SD₁₆	—	2	4	no	—
221	C₂×SD₁₆	—	2	2	no	—
222	C₂×SD₁₆	—	2	2	no	—
223	C₂×D₈	—	2	1	no	—
224	C₂×D₈	—	2	1	no	—
225	C₂×M₁₆	—	2	1	no	—
226	C₂²×C₈	—	2	2	no	—
227	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
228	C₂²×C₈	D₄×C₁₁	1	1	yes	characteristic
229	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
230	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
231	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
232	#127	C₂³×C₁₁	1	2	yes	—
233	#125	—	2	1	no	—
234	#124	—	2	2	no	—
235	C₂²⋊Q₈	—	2	1	no	—
236	C₂²⋊Q₈	D₄×C₁₁	1	2	yes	—
237	#121	—	2	2	no	—
238	#121	—	2	2	no	—
239	C₄×Q₈	—	2	1	no	—
240	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
241	C₄×D₄	—	2	2	no	—
242	C₄×D₄	—	2	2	no	—
243	#117	—	2	1	no	—
244	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
245	#106	—	2	4	no	—
246	C₄⋊C₈	—	2	2	no	—
247	C₄⋊C₈	—	2	2	no	—
248	C₄⋊C₈	—	2	2	no	—
249	C₄⋊C₈	—	2	1	no	—
250	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
251	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
252	#103	—	2	4	no	—
253	#102	—	2	4	no	—
254	#97	—	2	2	no	—
255	C₄×C₈	—	2	2	no	—
256	C₄×C₈	D₄×C₁₁	1	1	yes	characteristic
257	C₄×C₈	D₄×C₁₁	1	1	yes	characteristic
258	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
259	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
260	C₂×C₁₁	—	2	2	no	—
261	C₂×C₁₁	—	16	2	no	—
262	C₂×C₁₁	C₂×#460	1	1	yes	characteristic
263	C₂×C₁₁	#3061	1	1	yes	characteristic
264	C₂×C₁₁	#3067	1	1	yes	characteristic
265	#41	—	4	4	no	—
266	#41	—	4	4	no	—
267	C₂×Q₈	—	2	1	no	—
268	C₂×Q₈	—	2	2	no	—
269	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
270	C₂×D₄	—	2	2	no	—
271	C₂×D₄	—	2	2	no	—
272	C₂×D₄	—	2	2	no	—
273	C₂×D₄	—	4	2	no	—
274	C₂²×C₄	—	4	2	no	—
275	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
276	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
277	C₂²×C₄	C₁₁×#41	1	1	yes	characteristic
278	Q₁₆	—	4	2	no	—
279	Q₁₆	—	4	2	no	—
280	SD₁₆	—	4	4	no	—
281	SD₁₆	—	4	4	no	—
282	SD₁₆	—	8	4	no	—
283	D₈	—	4	2	no	—
284	D₈	—	4	2	no	—
285	M₁₆	—	4	2	no	—
286	C₂×C₈	—	2	2	no	—
287	C₂×C₈	—	2	2	no	—
288	C₂×C₈	—	2	4	no	—
289	C₂×C₈	—	8	2	no	—
290	C₂×C₈	C₁₁×SD₁₆	1	4	yes	complemented
291	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
292	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
293	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
294	C₂×C₈	C₂×D₄×C₁₁	1	1	yes	characteristic
295	C₄⋊C₄	—	2	1	no	—
296	C₄⋊C₄	—	2	1	no	—
297	C₄⋊C₄	—	2	1	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	C₂×D₄×C₁₁	1	2	yes	—
303	C₂²⋊C₄	—	2	2	no	—
304	C₂²⋊C₄	—	4	2	no	—
305	C₂²⋊C₄	—	4	2	no	—
306	C₄²	—	2	2	no	—
307	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
308	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
309	C₄²	C₁₁×#41	1	1	yes	characteristic
310	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
311	C₁₁	#19206	1	1	yes	characteristic, direct product factor, Sylow
312	C₂³	—	4	2	no	—
313	C₂³	C₁₁×#121	1	1	yes	characteristic
314	Q₈	—	2	2	no	—
315	Q₈	—	2	2	no	—
316	Q₈	—	4	2	no	—
317	Q₈	—	4	2	no	—
318	Q₈	—	4	2	no	—
319	D₄	—	4	2	no	—
320	D₄	—	4	2	no	—
321	D₄	—	4	2	no	—
322	D₄	—	4	2	no	—
323	D₄	—	8	2	no	—
324	D₄	—	8	4	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	4	1	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	8	4	no	—
332	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
333	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
334	C₂×C₄	C₁₁×#121	1	1	yes	characteristic
335	C₂×C₄	C₂×C₁₁×SD₁₆	1	2	yes	—
336	C₂×C₄	C₁₁×AGL(1,ℤ/8)	1	2	yes	—
337	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
338	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
339	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
340	C₈	—	2	1	no	—
341	C₈	—	2	1	no	—
342	C₈	—	4	2	no	—
343	C₈	—	4	4	no	—
344	C₈	C₂×C₁₁×SD₁₆	1	2	yes	—
345	C₈	C₂×C₁₁×SD₁₆	1	2	yes	—
346	C₂²	—	2	1	no	—
347	C₂²	—	2	1	no	—
348	C₂²	—	8	2	no	—
349	C₂²	—	8	2	no	—
350	C₂²	—	8	2	no	—
351	C₂²	C₁₁×#460	1	2	yes	—
352	C₂²	C₂×C₁₁×#121	1	1	yes	characteristic
353	C₄	—	2	1	no	—
354	C₄	—	2	1	no	—
355	C₄	—	2	1	no	—
356	C₄	—	4	2	no	—
357	C₄	—	4	2	no	—
358	C₄	—	8	2	no	—
359	C₄	C₁₁×#460	1	2	yes	—
360	C₄	C₂²×C₁₁×SD₁₆	1	1	yes	characteristic
361	C₄	C₂×C₁₁×AGL(1,ℤ/8)	1	1	yes	characteristic
362	C₄	C₁₁×#576	1	1	yes	characteristic
363	C₄	C₁₁×#578	1	1	yes	characteristic
364	C₂	—	2	2	no	—
365	C₂	—	16	2	no	—
366	C₂	C₂×C₁₁×#460	1	1	yes	characteristic
367	C₂	C₁₁×#3061	1	1	yes	characteristic
368	C₂	C₁₁×#3067	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂×#121
commutator, Frattini, cosocle	C₄²	C₂⁴×C₁₁
prime radical	C₁₁×#3147	C₂
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₂×C₄²×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3246	C₂	semidirect
3. C₁₁×#2960	C₂	semidirect
4. C₁₁×#1686	C₂	semidirect
5. C₁₁×#1670	C₂	semidirect
6. C₁₁×#1668	C₂	semidirect
7. C₂×C₁₁×#335	C₂	semidirect
8. C₁₁×#1547	C₂	semidirect
81. #19206	C₁₁	direct (N × H)
107. C₂×C₈×C₁₁	SD₁₆	semidirect
128. #3246	C₂×C₁₁	semidirect
130. #2960	C₂×C₁₁	semidirect
131. #1686	C₂×C₁₁	semidirect
132. #1670	C₂×C₁₁	semidirect
133. #1668	C₂×C₁₁	semidirect
134. C₂×#335	C₂×C₁₁	semidirect
135. #1547	C₂×C₁₁	semidirect
290. C₂×C₈	C₁₁×SD₁₆	semidirect
311. C₁₁	#19206	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₁×#3246	2
C₁₁×#3147	2
C₁₁×#2960	2
C₁₁×#1686	2
C₁₁×#1670	2
C₁₁×#1668	2
C₂×C₁₁×#335	2
C₁₁×#1547	2
#19206	11

Subgroups — C11×#19206 #14596399

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#19206 #14596399