Subgroups — #14910438

Order 2816.

718 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10622517	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×D₁₇₆	C₂	1	1	yes	maximal, characteristic, complemented
3	#13080303	C₂	1	2	yes	maximal, complemented
4	#13070877	C₂	1	1	yes	maximal, characteristic, complemented
5	#13070707	C₂	1	1	yes	maximal, characteristic, complemented
6	#13070702	C₂	1	1	yes	maximal, characteristic, complemented
7	#13070672	C₂	1	2	yes	maximal, complemented
8	#13070547	C₂	1	2	yes	maximal, complemented
9	#13070541	C₂	1	2	yes	maximal, complemented
10	C₄×D₁₇₆	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×C₁₁×C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#66957	C₂²	1	2	yes	complemented
13	C₂²×D₈₈	C₂²	1	2	yes	—
14	#10623081	—	2	2	no	—
15	C₂²×C₁₁×C₁₆	C₂²	1	1	yes	characteristic
16	C₂²×C₁₁×C₁₆	C₂²	1	1	yes	characteristic, complemented
17	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic
18	#10622729	C₂²	1	2	yes	—
19	#10622728	C₂²	1	2	yes	complemented
20	C₂×Dic₈₈	C₂²	1	1	yes	characteristic, complemented
21	#10622517	—	2	4	no	—
22	C₂×#66864	C₂²	1	2	yes	complemented
23	C₂×#66864	C₂²	1	2	yes	complemented
24	C₂×D₁₇₆	—	2	4	no	—
25	C₂×D₁₇₆	C₂²	1	1	yes	characteristic
26	C₂×D₁₇₆	C₂²	1	2	yes	—
27	C₂×D₁₇₆	C₂²	1	1	yes	characteristic
28	#10622457	—	2	2	no	—
29	#10622347	—	2	2	no	—
30	#10622344	—	2	2	no	—
31	#10622309	C₂²	1	2	yes	complemented
32	C₄×D₈₈	C₂²	1	2	yes	complemented
33	C₁₁×C₄⋊C₁₆	C₂²	1	1	yes	characteristic, complemented
34	C₁₁×C₂²⋊C₁₆	C₂²	1	1	yes	characteristic
35	C₁₁×C₂²⋊C₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₄×C₁₁×C₁₆	C₂²	1	1	yes	characteristic, complemented
37	#10622147	C₂²	1	2	yes	complemented
38	#10622147	C₂²	1	2	yes	complemented
39	#10622142	C₂²	1	1	yes	characteristic, complemented
40	#10622141	C₂²	1	2	yes	complemented
41	C₂×#4339	—	2	2	no	—
42	C₂²×D₄₄	—	2	2	no	—
43	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
44	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
45	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
46	#66990	—	4	2	no	—
47	#66983	—	2	2	no	—
48	#66977	—	2	2	no	—
49	C₂×Dic₄₄	C₂³	1	2	yes	—
50	#66957	—	2	4	no	—
51	#66957	—	4	2	no	—
52	C₂×D₈₈	—	2	4	no	—
53	C₂×D₈₈	—	2	2	no	—
54	C₂×D₈₈	—	4	2	no	—
55	C₂×D₈₈	C₂³	1	2	yes	—
56	C₂×D₈₈	C₂³	1	2	yes	—
57	C₂×#4314	—	2	2	no	—
58	C₂×#4314	—	2	2	no	—
59	#66947	—	4	2	no	—
60	#66937	—	4	2	no	—
61	C₂²⋊C₄×D₁₁	—	4	2	no	—
62	#66928	—	2	2	no	—
63	C₄×D₄₄	—	2	2	no	—
64	C₂×C₁₁×C₁₆	—	2	2	no	—
65	C₂×C₁₁×C₁₆	—	2	2	no	—
66	C₂×C₁₁×C₁₆	C₂³	1	1	yes	characteristic
67	C₂×C₁₁×C₁₆	C₂³	1	1	yes	characteristic
68	C₂×C₁₁×C₁₆	C₂³	1	1	yes	characteristic
69	C₂×C₁₁×C₁₆	C₂³	1	1	yes	characteristic
70	C₁₁×C₄⋊C₈	D₄	1	1	yes	characteristic
71	C₁₁×C₂²⋊C₈	D₄	1	1	yes	characteristic
72	C₁₁×C₂²⋊C₈	D₄	1	1	yes	characteristic
73	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
74	#66885	—	2	2	no	—
75	#66885	—	2	2	no	—
76	#66882	C₂³	1	2	yes	—
77	#66880	—	2	2	no	—
78	Dic₈₈	—	2	2	no	—
79	#66864	—	2	4	no	—
80	#66864	—	4	2	no	—
81	D₁₇₆	—	2	4	no	—
82	D₁₇₆	—	2	2	no	—
83	D₁₇₆	D₄	1	4	yes	complemented
84	#33846	—	11	1	no	maximal, Sylow
85	C₂³×D₁₁	—	4	2	no	—
86	C₂×D₄×C₁₁	D₈	1	1	yes	characteristic
87	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
88	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
89	C₂×C₂²⋊D₁₁	—	4	2	no	—
90	C₂×C₂²⋊D₁₁	—	4	2	no	—
91	#4339	—	4	4	no	—
92	#4339	—	8	2	no	—
93	C₂×D₄₄	—	2	2	no	—
94	C₂×D₄₄	—	2	2	no	—
95	C₂×D₄₄	—	4	4	no	—
96	C₂×D₄₄	—	4	2	no	—
97	C₂×D₄₄	—	8	2	no	—
98	C₂×C₄×D₁₁	—	4	2	no	—
99	C₂×C₄×D₁₁	—	4	2	no	—
100	C₂×Dic₂₂	—	2	2	no	—
101	C₂×C₈×C₁₁	—	2	1	no	—
102	C₂×C₈×C₁₁	—	2	1	no	—
103	C₂×C₈×C₁₁	—	2	1	no	—
104	C₂×C₈×C₁₁	—	2	1	no	—
105	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
106	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
107	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
108	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
109	C₁₁×C₄⋊C₄	D₈	1	1	yes	characteristic
110	C₁₁×C₂²⋊C₄	D₈	1	1	yes	characteristic
111	C₁₁×C₂²⋊C₄	D₈	1	1	yes	characteristic
112	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
113	C₂²⋊Dic₁₁	—	4	2	no	—
114	(C₂×D₁₁)⋊C₄	—	4	2	no	—
115	(C₂×D₁₁)⋊C₄	—	4	2	no	—
116	(C₂×D₁₁)⋊C₄	—	4	2	no	—
117	(C₂×D₁₁)⋊C₄	—	4	2	no	—
118	C₄⋊Dic₁₁	—	2	2	no	—
119	Dic₁₁⋊C₄	—	4	2	no	—
120	Dic₄₄	—	2	2	no	—
121	Dic₄₄	—	2	2	no	—
122	D₈₈	—	2	2	no	—
123	D₈₈	—	2	2	no	—
124	D₈₈	—	2	2	no	—
125	D₈₈	—	4	4	no	—
126	D₈₈	C₂×D₄	1	4	yes	—
127	#4314	—	4	4	no	—
128	#4314	—	8	2	no	—
129	C₁₁×C₁₆	—	2	1	no	—
130	C₁₁×C₁₆	—	2	1	no	—
131	C₁₁×C₁₆	—	2	1	no	—
132	C₁₁×C₁₆	C₂×D₄	1	2	yes	—
133	C₂×#508	—	11	1	no	—
134	C₂²×D₁₆	—	11	1	no	—
135	#3280	—	11	2	no	—
136	#2249	—	11	1	no	—
137	#2216	—	11	1	no	—
138	#2215	—	11	1	no	—
139	#2210	—	11	2	no	—
140	#2187	—	11	2	no	—
141	#2186	—	11	2	no	—
142	C₄×D₁₆	—	11	1	no	—
143	D₄×C₁₆	D₁₁	1	1	yes	characteristic, complemented
144	C₂³×C₁₁	C₂×D₈	1	1	yes	characteristic
145	C₂³×C₁₁	C₂×D₈	1	1	yes	characteristic
146	C₂²×D₁₁	—	4	2	no	—
147	C₂²×D₁₁	—	4	2	no	—
148	C₂²×D₁₁	—	8	4	no	—
149	C₂²×D₁₁	—	8	4	no	—
150	C₂²×D₁₁	—	16	2	no	—
151	D₄×C₁₁	—	2	2	no	—
152	C₂×C₄×C₁₁	—	2	1	no	—
153	C₂×C₄×C₁₁	—	2	1	no	—
154	C₂×C₄×C₁₁	—	2	1	no	—
155	C₂×C₄×C₁₁	—	2	1	no	—
156	C₂×C₄×C₁₁	C₂×D₈	1	1	yes	characteristic
157	C₂×C₄×C₁₁	C₂×D₈	1	1	yes	characteristic
158	C₂×C₄×C₁₁	C₂×D₈	1	1	yes	characteristic
159	C₂×C₄×C₁₁	C₂×D₈	1	1	yes	characteristic
160	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
161	C₂²⋊D₁₁	—	8	4	no	—
162	C₂²⋊D₁₁	—	16	2	no	—
163	C₂×Dic₁₁	—	4	2	no	—
164	C₂×Dic₁₁	—	4	2	no	—
165	D₄₄	—	2	4	no	—
166	D₄₄	—	4	2	no	—
167	D₄₄	—	4	2	no	—
168	D₄₄	—	4	2	no	—
169	D₄₄	—	8	4	no	—
170	C₄×D₁₁	—	8	4	no	—
171	C₄×D₁₁	—	16	2	no	—
172	Dic₂₂	—	4	2	no	—
173	Dic₂₂	—	4	2	no	—
174	C₈×C₁₁	—	2	1	no	—
175	C₈×C₁₁	—	2	1	no	—
176	C₈×C₁₁	—	2	1	no	—
177	C₈×C₁₁	C₂²×D₄	1	1	yes	characteristic
178	C₈×C₁₁	H(5,𝔽₂)	1	1	yes	characteristic
179	C₂×#135	—	11	2	no	—
180	C₂²×D₈	—	11	2	no	—
181	#546	—	22	2	no	—
182	#508	—	22	4	no	—
183	C₂×Q₃₂	—	11	1	no	—
184	C₂×SD₃₂	—	11	2	no	—
185	C₂×SD₃₂	—	11	2	no	—
186	C₂×D₁₆	—	11	1	no	—
187	C₂×D₁₆	—	11	2	no	—
188	C₂×D₁₆	—	11	1	no	—
189	C₂×D₁₆	—	22	4	no	—
190	C₂²×C₁₆	C₂×D₁₁	1	1	yes	characteristic
191	C₂²×C₁₆	C₂×D₁₁	1	1	yes	characteristic, complemented
192	#495	—	11	2	no	—
193	#467	—	11	2	no	—
194	#466	—	11	2	no	—
195	#463	—	22	2	no	—
196	#450	—	22	2	no	—
197	#449	—	22	2	no	—
198	C₄×D₈	—	11	2	no	—
199	C₈×D₄	C₂×D₁₁	1	1	yes	characteristic
200	#366	—	11	1	no	—
201	C₄⋊C₁₆	C₂×D₁₁	1	1	yes	characteristic, complemented
202	#358	—	11	2	no	—
203	#357	—	11	2	no	—
204	#357	—	11	2	no	—
205	C₂²⋊C₁₆	C₂×D₁₁	1	1	yes	characteristic
206	C₂²⋊C₁₆	C₂×D₁₁	1	1	yes	characteristic, complemented
207	C₄×C₁₆	C₂×D₁₁	1	1	yes	characteristic, complemented
208	C₂²×C₁₁	—	2	1	no	—
209	C₂²×C₁₁	—	2	1	no	—
210	C₂²×C₁₁	—	2	1	no	—
211	C₂²×C₁₁	—	2	1	no	—
212	C₂²×C₁₁	—	2	1	no	—
213	C₂²×C₁₁	#508	1	2	yes	complemented
214	C₂²×C₁₁	C₂²×D₈	1	1	yes	characteristic
215	C₂×D₁₁	—	4	4	no	—
216	C₂×D₁₁	—	8	2	no	—
217	C₂×D₁₁	—	8	2	no	—
218	C₂×D₁₁	—	8	2	no	—
219	C₂×D₁₁	—	8	2	no	—
220	C₂×D₁₁	—	8	2	no	—
221	C₂×D₁₁	—	16	8	no	—
222	C₄×C₁₁	—	2	1	no	—
223	C₄×C₁₁	—	2	1	no	—
224	C₄×C₁₁	—	2	1	no	—
225	C₄×C₁₁	—	2	1	no	—
226	C₄×C₁₁	D₄²	1	1	yes	characteristic
227	C₄×C₁₁	#576	1	1	yes	characteristic
228	Dic₁₁	—	8	2	no	—
229	Dic₁₁	—	8	2	no	—
230	C₂×#41	—	22	2	no	—
231	C₂²×D₄	—	22	2	no	—
232	#135	—	22	4	no	—
233	#135	—	44	2	no	—
234	C₂×Q₁₆	—	11	2	no	—
235	C₂×SD₁₆	—	22	2	no	—
236	C₂×SD₁₆	—	22	2	no	—
237	C₂×D₈	—	11	2	no	—
238	C₂×D₈	—	11	2	no	—
239	C₂×D₈	—	22	4	no	—
240	C₂×D₈	—	22	2	no	—
241	C₂×D₈	—	44	2	no	—
242	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
243	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
244	#124	—	22	2	no	—
245	#123	—	44	2	no	—
246	C₂²⋊Q₈	—	22	2	no	—
247	#121	—	22	2	no	—
248	#121	—	44	2	no	—
249	#120	—	44	2	no	—
250	C₄×D₄	—	22	2	no	—
251	C₄×D₄	D₄₄	1	1	yes	characteristic
252	C₂×C₂²⋊C₄	—	44	2	no	—
253	Q₃₂	—	22	2	no	—
254	SD₃₂	—	22	4	no	—
255	SD₃₂	—	44	2	no	—
256	D₁₆	—	11	4	no	—
257	D₁₆	—	22	4	no	—
258	D₁₆	—	22	2	no	—
259	C₂×C₁₆	—	2	2	no	—
260	C₂×C₁₆	—	2	2	no	—
261	C₂×C₁₆	C₂²×D₁₁	1	1	yes	characteristic
262	C₂×C₁₆	C₂²×D₁₁	1	1	yes	characteristic
263	C₂×C₁₆	C₂²×D₁₁	1	1	yes	characteristic
264	C₂×C₁₆	C₂²×D₁₁	1	1	yes	characteristic
265	#107	—	11	2	no	—
266	C₄⋊C₈	D₄₄	1	1	yes	characteristic
267	#103	—	22	2	no	—
268	#102	—	22	2	no	—
269	#102	—	22	2	no	—
270	C₂²⋊C₈	D₄₄	1	1	yes	characteristic
271	C₂²⋊C₈	D₄₄	1	1	yes	characteristic
272	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
273	C₂×C₁₁	—	2	2	no	—
274	C₂×C₁₁	—	4	1	no	—
275	C₂×C₁₁	D₄×D₈	1	1	yes	characteristic
276	C₂×C₁₁	C₂×#508	1	1	yes	characteristic
277	C₂×C₁₁	#3415	1	1	yes	characteristic
278	D₁₁	—	8	4	no	—
279	D₁₁	—	16	2	no	—
280	C₂⁴	—	44	2	no	—
281	#41	—	44	4	no	—
282	#41	—	88	2	no	—
283	C₂×Q₈	—	22	2	no	—
284	C₂×D₄	—	22	2	no	—
285	C₂×D₄	—	22	2	no	—
286	C₂×D₄	—	44	4	no	—
287	C₂×D₄	—	44	2	no	—
288	C₂×D₄	—	44	2	no	—
289	C₂×D₄	—	44	2	no	—
290	C₂×D₄	—	88	2	no	—
291	C₂×D₄	D₈₈	1	1	yes	characteristic
292	C₂²×C₄	—	44	2	no	—
293	C₂²×C₄	—	44	2	no	—
294	C₂²×C₄	C₂×D₄₄	1	1	yes	characteristic
295	C₂²×C₄	C₂×D₄₄	1	1	yes	characteristic
296	Q₁₆	—	22	2	no	—
297	Q₁₆	—	22	2	no	—
298	SD₁₆	—	44	4	no	—
299	SD₁₆	—	88	2	no	—
300	D₈	—	11	4	no	—
301	D₈	—	22	2	no	—
302	D₈	—	22	2	no	—
303	D₈	—	22	2	no	—
304	D₈	—	44	4	no	—
305	C₂×C₈	—	2	1	no	—
306	C₂×C₈	—	2	1	no	—
307	C₂×C₈	—	2	1	no	—
308	C₂×C₈	—	2	1	no	—
309	C₂×C₈	C₂×D₄₄	1	1	yes	characteristic
310	C₂×C₈	C₂×D₄₄	1	1	yes	characteristic
311	C₂×C₈	C₂×D₄₄	1	1	yes	characteristic
312	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
313	C₄⋊C₄	—	22	2	no	—
314	C₄⋊C₄	—	44	2	no	—
315	C₄⋊C₄	D₈₈	1	1	yes	characteristic
316	C₂²⋊C₄	—	44	2	no	—
317	C₂²⋊C₄	—	44	2	no	—
318	C₂²⋊C₄	—	44	2	no	—
319	C₂²⋊C₄	—	44	2	no	—
320	C₂²⋊C₄	—	44	2	no	—
321	C₂²⋊C₄	D₈₈	1	1	yes	characteristic
322	C₂²⋊C₄	D₈₈	1	1	yes	characteristic
323	C₄²	C₂×D₄₄	1	1	yes	characteristic
324	C₁₆	—	2	1	no	—
325	C₁₆	—	2	1	no	—
326	C₁₆	—	2	1	no	—
327	C₁₆	D₄×D₁₁	1	2	yes	—
328	C₁₁	#33846	1	1	yes	characteristic, complemented, Sylow
329	C₂³	—	44	2	no	—
330	C₂³	—	44	2	no	—
331	C₂³	—	88	4	no	—
332	C₂³	—	88	4	no	—
333	C₂³	—	176	2	no	—
334	C₂³	C₂×D₈₈	1	1	yes	characteristic
335	C₂³	C₂×D₈₈	1	1	yes	characteristic
336	Q₈	—	44	2	no	—
337	Q₈	—	44	2	no	—
338	D₄	—	2	2	no	—
339	D₄	—	22	4	no	—
340	D₄	—	44	2	no	—
341	D₄	—	44	2	no	—
342	D₄	—	44	2	no	—
343	D₄	—	88	4	no	—
344	D₄	—	88	4	no	—
345	D₄	—	176	2	no	—
346	C₂×C₄	—	2	1	no	—
347	C₂×C₄	—	2	1	no	—
348	C₂×C₄	—	2	1	no	—
349	C₂×C₄	—	2	1	no	—
350	C₂×C₄	—	44	2	no	—
351	C₂×C₄	—	44	2	no	—
352	C₂×C₄	—	88	4	no	—
353	C₂×C₄	—	176	2	no	—
354	C₂×C₄	C₂×D₈₈	1	1	yes	characteristic
355	C₂×C₄	C₂×D₈₈	1	1	yes	characteristic
356	C₂×C₄	C₂×D₈₈	1	1	yes	characteristic
357	C₂×C₄	C₂×D₈₈	1	1	yes	characteristic
358	C₂×C₄	C₂²×D₄₄	1	1	yes	characteristic
359	C₈	—	2	1	no	—
360	C₈	—	2	1	no	—
361	C₈	—	2	1	no	—
362	C₈	C₂×D₄×D₁₁	1	1	yes	characteristic
363	C₈	#67042	1	1	yes	characteristic
364	C₂²	—	2	1	no	—
365	C₂²	—	2	1	no	—
366	C₂²	—	2	1	no	—
367	C₂²	—	2	1	no	—
368	C₂²	—	2	1	no	—
369	C₂²	—	44	4	no	—
370	C₂²	—	88	2	no	—
371	C₂²	—	88	2	no	—
372	C₂²	—	88	2	no	—
373	C₂²	—	88	2	no	—
374	C₂²	—	88	2	no	—
375	C₂²	—	176	8	no	—
376	C₂²	#10622517	1	2	yes	complemented
377	C₂²	C₂²×D₈₈	1	1	yes	characteristic
378	C₄	—	2	1	no	—
379	C₄	—	2	1	no	—
380	C₄	—	2	1	no	—
381	C₄	—	2	1	no	—
382	C₄	—	88	2	no	—
383	C₄	—	88	2	no	—
384	C₄	D₄×D₄₄	1	1	yes	characteristic
385	C₄	#10623283	1	1	yes	characteristic
386	C₂	—	2	2	no	—
387	C₂	—	4	1	no	—
388	C₂	—	88	4	no	—
389	C₂	—	176	2	no	—
390	C₂	D₄×D₈₈	1	1	yes	characteristic
391	C₂	C₂×#10622517	1	1	yes	characteristic
392	C₂	#13081757	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₈₈
commutator, cosocle	C₂×C₈×C₁₁	C₂⁴
Frattini	C₂×C₈	C₂³×D₁₁
Fitting	D₄×C₁₁×C₁₆	C₂
socle	C₂²×C₁₁	C₂²×D₈
hypercenter	D₄×C₁₆	D₁₁
hypocenter	C₁₁	#33846
LCS	G ▷ C₂×C₈×C₁₁ ▷ C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ C₈×D₄ ◁ D₄×C₁₆

Complements

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

N	H ≅ G/N	type
1. C₂×#10622517	C₂	semidirect
2. C₂²×D₁₇₆	C₂	semidirect
3. #13080303	C₂	semidirect
4. #13070877	C₂	semidirect
5. #13070707	C₂	semidirect
6. #13070702	C₂	semidirect
7. #13070672	C₂	semidirect
8. #13070547	C₂	semidirect
9. #13070541	C₂	semidirect
10. C₄×D₁₇₆	C₂	semidirect
11. D₄×C₁₁×C₁₆	C₂	semidirect
12. C₂×#66957	C₂²	semidirect
16. C₂²×C₁₁×C₁₆	C₂²	semidirect
19. #10622728	C₂²	semidirect
20. C₂×Dic₈₈	C₂²	semidirect
22. C₂×#66864	C₂²	semidirect
23. C₂×#66864	C₂²	semidirect
31. #10622309	C₂²	semidirect
32. C₄×D₈₈	C₂²	semidirect
33. C₁₁×C₄⋊C₁₆	C₂²	semidirect
35. C₁₁×C₂²⋊C₁₆	C₂²	semidirect
36. C₄×C₁₁×C₁₆	C₂²	semidirect
37. #10622147	C₂²	semidirect
38. #10622147	C₂²	semidirect
39. #10622142	C₂²	semidirect
40. #10622141	C₂²	semidirect
83. D₁₇₆	D₄	semidirect
143. D₄×C₁₆	D₁₁	semidirect
191. C₂²×C₁₆	C₂×D₁₁	semidirect
201. C₄⋊C₁₆	C₂×D₁₁	semidirect
206. C₂²⋊C₁₆	C₂×D₁₁	semidirect
207. C₄×C₁₆	C₂×D₁₁	semidirect
213. C₂²×C₁₁	#508	semidirect
328. C₁₁	#33846	semidirect
376. C₂²	#10622517	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10622517	2
C₂²×D₁₇₆	2
#13080303	2
#13070877	2
#13070707	2
#13070702	2
#13070672	2
#13070547	2
#13070541	2
C₄×D₁₇₆	2
D₄×C₁₁×C₁₆	2
#33846	11