Subgroups — D₁₁×#2179 #14907175

Order 2816.

654 conjugacy classes of subgroups.

The subgroup lattice has 414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₁×#508	C₂	1	1	yes	maximal, characteristic
2	D₁₁×#443	C₂	1	2	yes	maximal, complemented
3	#13070503	C₂	1	1	yes	maximal, characteristic, complemented
4	#13070502	C₂	1	1	yes	maximal, characteristic, complemented
5	#13070501	C₂	1	1	yes	maximal, characteristic, complemented
6	#13070500	C₂	1	2	yes	maximal, complemented
7	#13070499	C₂	1	2	yes	maximal, complemented
8	D₁₁×#368	C₂	1	1	yes	maximal, characteristic, complemented
9	D₁₁×#359	C₂	1	2	yes	maximal, complemented
10	D₁₁×#346	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2179	C₂	1	1	yes	maximal, characteristic, complemented
12	D₁₁×#135	C₂²	1	2	yes	—
13	D₁₁×#131	—	2	2	no	—
14	C₁₁×#508	C₂²	1	1	yes	characteristic
15	C₁₁×#443	C₂²	1	2	yes	complemented
16	#10622809	C₂²	1	2	yes	complemented
17	#10622807	C₂²	1	2	yes	—
18	#10622757	—	2	2	no	—
19	#10622532	C₄	1	1	yes	characteristic, complemented
20	D₁₁×Q₃₂	C₄	1	1	yes	characteristic, complemented
21	#10622529	C₄	1	2	yes	complemented
22	D₁₁×SD₃₂	C₄	1	2	yes	complemented
23	#10622525	C₄	1	1	yes	characteristic, complemented
24	D₁₁×D₁₆	C₄	1	1	yes	characteristic, complemented
25	#10622517	C₂²	1	1	yes	characteristic
26	C₂×C₁₆×D₁₁	C₂²	1	1	yes	characteristic
27	C₂×C₁₆×D₁₁	C₂²	1	1	yes	characteristic
28	#10622508	C₂²	1	2	yes	complemented
29	D₁₁×#108	C₂²	1	2	yes	—
30	#10622437	—	2	2	no	—
31	D₁₁×#104	—	2	2	no	—
32	#10622313	C₂²	1	2	yes	complemented
33	C₄×C₈×D₁₁	C₂²	1	1	yes	characteristic
34	C₁₁×#368	C₂²	1	1	yes	characteristic, complemented
35	C₁₁×#359	C₂²	1	2	yes	complemented
36	C₁₁×#346	C₂²	1	1	yes	characteristic, complemented
37	#10622205	C₂²	1	2	yes	complemented
38	#10622148	C₂²	1	2	yes	complemented
39	#10622144	C₂²	1	1	yes	characteristic, complemented
40	#10622140	C₂²	1	1	yes	characteristic, complemented
41	#10622140	C₂²	1	1	yes	characteristic, complemented
42	#10622135	C₂²	1	2	yes	complemented
43	#10622131	C₂²	1	2	yes	complemented
44	#10622099	C₂²	1	1	yes	characteristic, complemented
45	#41×D₁₁	—	2	2	no	—
46	C₁₁×#135	C₂³	1	2	yes	—
47	C₁₁×#131	—	2	2	no	—
48	#67003	—	2	2	no	—
49	#67001	—	2	2	no	—
50	#66972	C₂×C₄	1	2	yes	—
51	Q₁₆×D₁₁	C₂×C₄	1	2	yes	—
52	#66969	—	2	2	no	—
53	SD₁₆×D₁₁	—	2	2	no	—
54	#66965	C₂×C₄	1	2	yes	—
55	D₈×D₁₁	C₂×C₄	1	2	yes	—
56	#66960	—	2	2	no	—
57	#66960	—	4	2	no	—
58	M₁₆×D₁₁	—	2	2	no	—
59	M₁₆×D₁₁	—	4	2	no	—
60	#66957	C₂³	1	2	yes	—
61	#66954	—	2	2	no	—
62	#66954	—	4	2	no	—
63	C₂×C₈×D₁₁	—	4	2	no	—
64	C₂×C₈×D₁₁	D₄	1	1	yes	characteristic
65	C₂×C₈×D₁₁	C₂³	1	1	yes	characteristic
66	C₄²×D₁₁	D₄	1	1	yes	characteristic
67	C₁₁×Q₃₂	C₂×C₄	1	1	yes	characteristic, complemented
68	C₁₁×SD₃₂	C₂×C₄	1	2	yes	complemented
69	C₁₁×D₁₆	C₂×C₄	1	1	yes	characteristic, complemented
70	C₂×C₁₁×C₁₆	C₂³	1	1	yes	characteristic
71	C₂×C₁₁×C₁₆	C₂³	1	1	yes	characteristic
72	C₁₁×#108	C₂³	1	2	yes	—
73	C₁₁×#104	—	2	2	no	—
74	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
75	#66901	—	2	2	no	—
76	#66893	C₂×C₄	1	2	yes	complemented
77	#66892	C₂×C₄	1	2	yes	complemented
78	#66891	C₂×C₄	1	2	yes	complemented
79	#66890	C₂×C₄	1	2	yes	complemented
80	#66889	—	2	2	no	—
81	#66886	—	2	2	no	—
82	#66883	C₂³	1	2	yes	—
83	C₈×Dic₁₁	D₄	1	1	yes	characteristic
84	C₈×Dic₁₁	C₂³	1	1	yes	characteristic
85	C₂×C₁₁⋊C₁₆	C₂³	1	1	yes	characteristic
86	C₂×C₁₁⋊C₁₆	C₂³	1	1	yes	characteristic
87	#66869	—	2	2	no	—
88	C₄×C₁₁⋊C₈	D₄	1	1	yes	characteristic
89	Dic₈₈	C₂×C₄	1	1	yes	characteristic, complemented
90	#66864	C₂×C₄	1	2	yes	complemented
91	D₁₇₆	C₂×C₄	1	1	yes	characteristic, complemented
92	C₁₆×D₁₁	—	2	1	no	—
93	C₁₆×D₁₁	—	2	1	no	—
94	C₁₆×D₁₁	C₂×C₄	1	1	yes	characteristic
95	C₁₆×D₁₁	C₂×C₄	1	1	yes	characteristic
96	C₁₆×D₁₁	C₂×C₄	1	1	yes	characteristic
97	C₁₆×D₁₁	C₂×C₄	1	1	yes	characteristic
98	C₂×#2179	—	11	1	no	maximal, Sylow
99	C₁₁×#41	—	2	2	no	—
100	#4343	—	2	2	no	—
101	Q₈×D₁₁	—	2	2	no	—
102	#4341	—	2	2	no	—
103	#4341	—	4	2	no	—
104	D₄×D₁₁	—	2	2	no	—
105	D₄×D₁₁	—	4	2	no	—
106	#4339	—	2	2	no	—
107	#4339	—	4	2	no	—
108	C₂×C₄×D₁₁	—	2	1	no	—
109	C₂×C₄×D₁₁	—	4	2	no	—
110	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
111	C₁₁×Q₁₆	C₂²×C₄	1	2	yes	—
112	C₁₁×SD₁₆	—	2	2	no	—
113	C₁₁×D₈	C₂²×C₄	1	2	yes	—
114	C₁₁×M₁₆	—	2	2	no	—
115	C₁₁×M₁₆	—	4	2	no	—
116	C₂×C₈×C₁₁	—	4	2	no	—
117	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
118	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
119	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
120	#4326	—	2	2	no	—
121	#4325	—	2	2	no	—
122	#4324	—	2	2	no	—
123	#4323	—	2	2	no	—
124	C₄×Dic₁₁	—	2	1	no	—
125	C₄×Dic₁₁	C₂×D₄	1	1	yes	characteristic
126	#4318	—	2	2	no	—
127	#4318	—	4	2	no	—
128	C₂×C₁₁⋊C₈	—	4	2	no	—
129	C₂×C₁₁⋊C₈	C₂×D₄	1	1	yes	characteristic
130	C₂×C₁₁⋊C₈	C₂×D₄	1	1	yes	characteristic
131	Dic₄₄	C₂²×C₄	1	2	yes	—
132	D₈₈	C₂²×C₄	1	2	yes	—
133	#4314	—	2	2	no	—
134	#4313	—	4	2	no	—
135	#4313	—	4	2	no	—
136	#4313	—	4	2	no	—
137	C₈×D₁₁	—	4	2	no	—
138	C₈×D₁₁	—	4	2	no	—
139	C₈×D₁₁	—	4	2	no	—
140	C₈×D₁₁	D₈	1	2	yes	—
141	C₈×D₁₁	D₈	1	2	yes	—
142	C₈×D₁₁	C₂²×C₄	1	1	yes	characteristic
143	C₈×D₁₁	C₂²×C₄	1	1	yes	characteristic
144	C₈×D₁₁	#41	1	1	yes	characteristic
145	C₈×D₁₁	#41	1	1	yes	characteristic
146	C₁₁×C₁₆	—	2	1	no	—
147	C₁₁×C₁₆	C₂²×C₄	1	1	yes	characteristic
148	C₁₁×C₁₆	C₂²×C₄	1	1	yes	characteristic
149	C₁₁⋊C₁₆	—	2	1	no	—
150	C₁₁⋊C₁₆	C₂²×C₄	1	1	yes	characteristic
151	C₁₁⋊C₁₆	C₂²×C₄	1	1	yes	characteristic
152	C₂×#508	—	11	1	no	—
153	C₂×#443	—	11	2	no	—
154	#2179	—	11	1	no	—
155	#2179	—	11	2	no	—
156	#2179	—	11	1	no	—
157	#2179	—	11	2	no	—
158	#2179	—	11	1	no	—
159	#2179	D₁₁	1	1	yes	characteristic, direct product factor
160	C₂×#368	—	11	1	no	—
161	C₂×#359	—	11	2	no	—
162	C₂×#346	—	11	1	no	—
163	C₂²×D₁₁	—	4	2	no	—
164	C₂²×D₁₁	#135	1	1	yes	characteristic
165	Q₈×C₁₁	—	2	2	no	—
166	D₄×C₁₁	—	2	2	no	—
167	D₄×C₁₁	—	4	2	no	—
168	C₂×C₄×C₁₁	—	2	1	no	—
169	C₂×C₄×C₁₁	—	4	2	no	—
170	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
171	C₂²⋊D₁₁	—	4	2	no	—
172	C₂²⋊D₁₁	—	4	2	no	—
173	C₂²⋊D₁₁	—	4	2	no	—
174	C₂×Dic₁₁	—	2	1	no	—
175	C₂×Dic₁₁	—	4	2	no	—
176	C₂×Dic₁₁	#135	1	1	yes	characteristic
177	D₄₄	—	2	2	no	—
178	D₄₄	—	4	2	no	—
179	C₄×D₁₁	—	4	2	no	—
180	C₄×D₁₁	—	4	2	no	—
181	C₄×D₁₁	—	4	2	no	—
182	C₄×D₁₁	—	4	2	no	—
183	C₄×D₁₁	C₄×D₄	1	1	yes	characteristic
184	C₄×D₁₁	C₄×D₄	1	1	yes	characteristic
185	C₄×D₁₁	C₂×D₈	1	1	yes	characteristic
186	C₄×D₁₁	C₂×D₈	1	1	yes	characteristic
187	Dic₂₂	—	2	2	no	—
188	Dic₂₂	—	4	2	no	—
189	C₈×C₁₁	—	4	2	no	—
190	C₈×C₁₁	C₂×D₈	1	2	yes	—
191	C₈×C₁₁	C₂³×C₄	1	1	yes	characteristic
192	C₈×C₁₁	C₂×#41	1	1	yes	characteristic
193	C₁₁⋊C₈	—	4	2	no	—
194	C₁₁⋊C₈	C₄×D₄	1	1	yes	characteristic
195	C₁₁⋊C₈	C₄×D₄	1	1	yes	characteristic
196	C₁₁⋊C₈	C₂×D₈	1	2	yes	—
197	C₂×#135	—	11	2	no	—
198	C₂×#131	—	22	2	no	—
199	#508	—	11	2	no	—
200	#508	—	11	1	no	—
201	#508	—	11	2	no	—
202	#508	—	11	1	no	—
203	#508	—	11	1	no	—
204	#508	C₂×D₁₁	1	1	yes	characteristic
205	C₂×Q₃₂	—	11	1	no	—
206	C₂×SD₃₂	—	11	2	no	—
207	C₂×D₁₆	—	11	1	no	—
208	C₂²×C₁₆	—	11	1	no	—
209	C₂²×C₁₆	—	11	1	no	—
210	#443	—	11	2	no	—
211	#443	—	11	2	no	—
212	#443	—	11	2	no	—
213	#443	—	22	2	no	—
214	#443	—	22	2	no	—
215	#443	C₂×D₁₁	1	2	yes	complemented
216	C₂×#108	—	11	2	no	—
217	C₂×#104	—	22	2	no	—
218	C₂×C₄×C₈	—	11	1	no	—
219	#368	—	11	1	no	—
220	#368	—	11	2	no	—
221	#368	C₂×D₁₁	1	1	yes	characteristic, complemented
222	#359	—	11	2	no	—
223	#359	—	11	2	no	—
224	#359	—	11	2	no	—
225	#359	C₂×D₁₁	1	2	yes	complemented
226	#346	—	11	1	no	—
227	#346	—	11	1	no	—
228	#346	—	11	1	no	—
229	#346	C₂×D₁₁	1	1	yes	characteristic, complemented
230	C₂²×C₁₁	—	4	2	no	—
231	C₂²×C₁₁	C₂×#135	1	1	yes	characteristic
232	C₂×D₁₁	—	2	2	no	—
233	C₂×D₁₁	—	4	2	no	—
234	C₂×D₁₁	—	8	4	no	—
235	C₂×D₁₁	C₄×D₈	1	1	yes	characteristic
236	C₂×D₁₁	C₄×D₈	1	1	yes	characteristic
237	C₄×C₁₁	—	4	1	no	—
238	C₄×C₁₁	—	4	2	no	—
239	C₄×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
240	C₄×C₁₁	C₂²×D₈	1	1	yes	characteristic
241	Dic₁₁	—	4	1	no	—
242	Dic₁₁	—	4	2	no	—
243	Dic₁₁	C₄×D₈	1	1	yes	characteristic
244	Dic₁₁	C₄×D₈	1	1	yes	characteristic
245	C₂×#41	—	22	2	no	—
246	#135	—	11	2	no	—
247	#135	—	11	2	no	—
248	#135	—	11	2	no	—
249	#135	—	22	2	no	—
250	#135	—	22	2	no	—
251	#135	C₂²×D₁₁	1	2	yes	—
252	C₂×Q₁₆	—	11	2	no	—
253	C₂×SD₁₆	—	22	2	no	—
254	C₂×D₈	—	11	2	no	—
255	#131	—	2	2	no	—
256	#131	—	22	2	no	—
257	#131	—	22	2	no	—
258	#131	—	22	2	no	—
259	#131	—	44	2	no	—
260	#131	—	44	2	no	—
261	C₂×M₁₆	—	22	2	no	—
262	C₂×M₁₆	—	44	2	no	—
263	C₂²×C₈	—	11	1	no	—
264	C₂²×C₈	—	11	1	no	—
265	C₂²×C₈	—	44	2	no	—
266	C₂×C₄²	—	11	1	no	—
267	Q₃₂	—	11	2	no	—
268	Q₃₂	—	11	1	no	—
269	Q₃₂	C₄×D₁₁	1	1	yes	characteristic, complemented
270	SD₃₂	—	11	2	no	—
271	SD₃₂	—	11	2	no	—
272	SD₃₂	—	11	2	no	—
273	SD₃₂	C₄×D₁₁	1	2	yes	complemented
274	D₁₆	—	11	2	no	—
275	D₁₆	—	11	1	no	—
276	D₁₆	C₄×D₁₁	1	1	yes	characteristic, complemented
277	C₂×C₁₆	—	11	1	no	—
278	C₂×C₁₆	—	11	1	no	—
279	C₂×C₁₆	—	11	1	no	—
280	C₂×C₁₆	—	11	1	no	—
281	C₂×C₁₆	—	11	1	no	—
282	C₂×C₁₆	—	11	1	no	—
283	C₂×C₁₆	—	22	1	no	—
284	C₂×C₁₆	—	22	1	no	—
285	C₂×C₁₆	C₂²×D₁₁	1	1	yes	characteristic
286	C₂×C₁₆	C₂²×D₁₁	1	1	yes	characteristic
287	#108	—	11	2	no	—
288	#108	—	22	2	no	—
289	#108	C₂²×D₁₁	1	2	yes	—
290	#104	—	2	2	no	—
291	#104	—	22	2	no	—
292	#104	—	22	2	no	—
293	#104	—	22	2	no	—
294	C₄×C₈	—	11	1	no	—
295	C₄×C₈	—	11	1	no	—
296	C₄×C₈	—	11	1	no	—
297	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
298	C₂×C₁₁	—	2	1	no	—
299	C₂×C₁₁	—	8	2	no	—
300	C₂×C₁₁	C₂×C₄×D₈	1	1	yes	characteristic
301	D₁₁	—	2	1	no	—
302	D₁₁	—	8	2	no	—
303	D₁₁	#2179	1	2	yes	direct product factor
304	#41	—	2	2	no	—
305	#41	—	22	2	no	—
306	#41	—	22	2	no	—
307	#41	—	22	2	no	—
308	#41	—	44	2	no	—
309	#41	—	44	2	no	—
310	C₂×Q₈	—	22	2	no	—
311	C₂×D₄	—	22	2	no	—
312	C₂×D₄	—	44	2	no	—
313	C₂²×C₄	—	11	1	no	—
314	C₂²×C₄	—	22	1	no	—
315	C₂²×C₄	—	44	2	no	—
316	Q₁₆	—	11	2	no	—
317	Q₁₆	—	22	2	no	—
318	Q₁₆	C₂×C₄×D₁₁	1	2	yes	—
319	SD₁₆	—	2	2	no	—
320	SD₁₆	—	22	2	no	—
321	SD₁₆	—	22	2	no	—
322	SD₁₆	—	22	2	no	—
323	D₈	—	11	2	no	—
324	D₈	—	22	2	no	—
325	D₈	C₂×C₄×D₁₁	1	2	yes	—
326	M₁₆	—	2	2	no	—
327	M₁₆	—	4	2	no	—
328	M₁₆	—	22	2	no	—
329	M₁₆	—	44	2	no	—
330	M₁₆	—	44	2	no	—
331	M₁₆	—	44	2	no	—
332	M₁₆	—	44	2	no	—
333	C₂×C₈	—	4	2	no	—
334	C₂×C₈	—	11	1	no	—
335	C₂×C₈	—	11	1	no	—
336	C₂×C₈	—	11	2	no	—
337	C₂×C₈	—	11	2	no	—
338	C₂×C₈	—	11	1	no	—
339	C₂×C₈	—	11	1	no	—
340	C₂×C₈	—	11	1	no	—
341	C₂×C₈	—	11	1	no	—
342	C₂×C₈	—	44	2	no	—
343	C₂×C₈	—	44	2	no	—
344	C₂×C₈	—	44	2	no	—
345	C₂×C₈	—	44	2	no	—
346	C₂×C₈	D₄×D₁₁	1	1	yes	characteristic
347	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
348	C₄²	—	11	1	no	—
349	C₄²	—	22	1	no	—
350	C₄²	D₄×D₁₁	1	1	yes	characteristic
351	C₁₆	—	2	1	no	—
352	C₁₆	—	11	1	no	—
353	C₁₆	—	11	1	no	—
354	C₁₆	—	22	1	no	—
355	C₁₆	C₂×C₄×D₁₁	1	1	yes	characteristic
356	C₁₆	C₂×C₄×D₁₁	1	1	yes	characteristic
357	C₁₁	C₂×#2179	1	1	yes	characteristic, complemented, Sylow
358	C₂³	—	11	1	no	—
359	C₂³	—	44	2	no	—
360	Q₈	—	2	2	no	—
361	Q₈	—	22	2	no	—
362	Q₈	—	44	2	no	—
363	D₄	—	2	2	no	—
364	D₄	—	4	2	no	—
365	D₄	—	22	2	no	—
366	D₄	—	44	2	no	—
367	D₄	—	44	2	no	—
368	D₄	—	44	2	no	—
369	D₄	—	44	2	no	—
370	C₂×C₄	—	2	1	no	—
371	C₂×C₄	—	4	2	no	—
372	C₂×C₄	—	11	1	no	—
373	C₂×C₄	—	11	1	no	—
374	C₂×C₄	—	11	1	no	—
375	C₂×C₄	—	11	1	no	—
376	C₂×C₄	—	11	1	no	—
377	C₂×C₄	—	22	1	no	—
378	C₂×C₄	—	44	2	no	—
379	C₂×C₄	—	44	2	no	—
380	C₂×C₄	—	44	2	no	—
381	C₂×C₄	—	44	2	no	—
382	C₂×C₄	—	44	2	no	—
383	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
384	C₈	—	4	2	no	—
385	C₈	—	11	2	no	—
386	C₈	—	11	1	no	—
387	C₈	—	11	1	no	—
388	C₈	—	44	2	no	—
389	C₈	D₈×D₁₁	1	2	yes	—
390	C₈	C₂²×C₄×D₁₁	1	1	yes	characteristic
391	C₈	#41×D₁₁	1	1	yes	characteristic
392	C₂²	—	4	2	no	—
393	C₂²	—	11	1	no	—
394	C₂²	—	11	1	no	—
395	C₂²	—	22	2	no	—
396	C₂²	—	44	2	no	—
397	C₂²	—	88	4	no	—
398	C₂²	D₁₁×#135	1	1	yes	characteristic
399	C₄	—	4	1	no	—
400	C₄	—	4	2	no	—
401	C₄	—	11	1	no	—
402	C₄	—	11	1	no	—
403	C₄	—	44	1	no	—
404	C₄	—	44	2	no	—
405	C₄	C₄×D₄×D₁₁	1	1	yes	characteristic
406	C₄	C₂×D₈×D₁₁	1	1	yes	characteristic
407	C₂	—	2	1	no	—
408	C₂	—	8	2	no	—
409	C₂	—	11	2	no	—
410	C₂	—	22	1	no	—
411	C₂	—	88	2	no	—
412	C₂	C₄×D₈×D₁₁	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂×D₈×D₁₁
commutator	C₈×C₁₁	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₁₁
Fitting	C₁₁×#2179	C₂
socle	C₂×C₁₁	C₂×C₄×D₈
prime radical	D₁₁×#508	C₂
cosocle	C₂×C₈×C₁₁	C₂⁴
hypercenter	#2179	D₁₁
hypocenter	C₁₁	C₂×#2179
LCS	G ▷ C₈×C₁₁ ▷ C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₄ ◁ C₂×C₈ ◁ C₄×C₈ ◁ #2179

Complements

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

N	H ≅ G/N	type
2. D₁₁×#443	C₂	semidirect
3. #13070503	C₂	semidirect
4. #13070502	C₂	semidirect
5. #13070501	C₂	semidirect
6. #13070500	C₂	semidirect
7. #13070499	C₂	semidirect
8. D₁₁×#368	C₂	semidirect
9. D₁₁×#359	C₂	semidirect
10. D₁₁×#346	C₂	semidirect
11. C₁₁×#2179	C₂	semidirect
15. C₁₁×#443	C₂²	semidirect
16. #10622809	C₂²	semidirect
19. #10622532	C₄	semidirect
20. D₁₁×Q₃₂	C₄	semidirect
21. #10622529	C₄	semidirect
22. D₁₁×SD₃₂	C₄	semidirect
23. #10622525	C₄	semidirect
24. D₁₁×D₁₆	C₄	semidirect
28. #10622508	C₂²	semidirect
32. #10622313	C₂²	semidirect
34. C₁₁×#368	C₂²	semidirect
35. C₁₁×#359	C₂²	semidirect
36. C₁₁×#346	C₂²	semidirect
37. #10622205	C₂²	semidirect
38. #10622148	C₂²	semidirect
39. #10622144	C₂²	semidirect
40. #10622140	C₂²	semidirect
41. #10622140	C₂²	semidirect
42. #10622135	C₂²	semidirect
43. #10622131	C₂²	semidirect
44. #10622099	C₂²	semidirect
67. C₁₁×Q₃₂	C₂×C₄	semidirect
68. C₁₁×SD₃₂	C₂×C₄	semidirect
69. C₁₁×D₁₆	C₂×C₄	semidirect
76. #66893	C₂×C₄	semidirect
77. #66892	C₂×C₄	semidirect
78. #66891	C₂×C₄	semidirect
79. #66890	C₂×C₄	semidirect
89. Dic₈₈	C₂×C₄	semidirect
90. #66864	C₂×C₄	semidirect
91. D₁₇₆	C₂×C₄	semidirect
159. #2179	D₁₁	direct (N × H)
215. #443	C₂×D₁₁	semidirect
221. #368	C₂×D₁₁	semidirect
225. #359	C₂×D₁₁	semidirect
229. #346	C₂×D₁₁	semidirect
269. Q₃₂	C₄×D₁₁	semidirect
273. SD₃₂	C₄×D₁₁	semidirect
276. D₁₆	C₄×D₁₁	semidirect
303. D₁₁	#2179	direct (N × H)
357. C₁₁	C₂×#2179	semidirect

Maximal subgroups

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

subgroup	index
D₁₁×#508	2
D₁₁×#443	2
#13070503	2
#13070502	2
#13070501	2
#13070500	2
#13070499	2
D₁₁×#368	2
D₁₁×#359	2
D₁₁×#346	2
C₁₁×#2179	2
C₂×#2179	11

Subgroups — D11×#2179 #14907175

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₁×#2179 #14907175