Subgroups — #14907269

Order 2816.

490 conjugacy classes of subgroups.

The subgroup lattice has 452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13077545	C₂	1	1	yes	maximal, characteristic
2	#13070525	C₂	1	1	yes	maximal, characteristic, complemented
3	#13070524	C₂	1	1	yes	maximal, characteristic, complemented
4	#13070523	C₂	1	1	yes	maximal, characteristic, complemented
5	#13070523	C₂	1	1	yes	maximal, characteristic, complemented
6	#13070522	C₂	1	1	yes	maximal, characteristic, complemented
7	#13070522	C₂	1	1	yes	maximal, characteristic, complemented
8	#13070521	C₂	1	1	yes	maximal, characteristic, complemented
9	#13070373	C₂	1	1	yes	maximal, characteristic
10	#13070373	C₂	1	1	yes	maximal, characteristic
11	#13070370	C₂	1	1	yes	maximal, characteristic
12	#13070214	C₂	1	1	yes	maximal, characteristic
13	#13070211	C₂	1	1	yes	maximal, characteristic
14	D₁₁×#346	C₂	1	1	yes	maximal, characteristic
15	C₁₁×#2183	C₂	1	1	yes	maximal, characteristic, complemented
16	#10623109	C₄	1	1	yes	characteristic
17	C₈×Q₈×C₁₁	C₂²	1	1	yes	characteristic
18	#10622637	C₄	1	1	yes	characteristic
19	C₂×#66862	C₂²	1	1	yes	characteristic
20	C₂×#66862	C₂²	1	1	yes	characteristic
21	C₂×C₁₆×D₁₁	C₂²	1	1	yes	characteristic
22	C₂×C₁₆×D₁₁	C₂²	1	1	yes	characteristic
23	#10622452	C₄	1	1	yes	characteristic
24	#10622452	C₄	1	1	yes	characteristic
25	#10622450	C₄	1	1	yes	characteristic
26	#10622444	C₄	1	1	yes	characteristic
27	#10622441	C₄	1	1	yes	characteristic
28	#10622441	C₄	1	1	yes	characteristic
29	#10622302	C₂²	1	1	yes	characteristic
30	#10622302	C₂²	1	1	yes	characteristic
31	C₄×C₈×D₁₁	C₂²	1	1	yes	characteristic
32	C₈×Dic₂₂	C₂²	1	1	yes	characteristic
33	C₈×Dic₂₂	C₂²	1	1	yes	characteristic
34	C₈×Dic₂₂	C₂²	1	1	yes	characteristic
35	C₁₁×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
36	C₁₁×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
37	C₁₁×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
38	C₁₁×#346	C₂²	1	1	yes	characteristic
39	C₁₁×#346	C₂²	1	1	yes	characteristic
40	C₄×C₁₁×C₁₆	C₂²	1	1	yes	characteristic
41	#10622140	C₂²	1	1	yes	characteristic
42	#10622140	C₂²	1	1	yes	characteristic
43	#10622140	C₂²	1	1	yes	characteristic
44	#10622140	C₂²	1	1	yes	characteristic
45	Dic₁₁⋊C₁₆	C₂²	1	1	yes	characteristic
46	Dic₁₁⋊C₁₆	C₂²	1	1	yes	characteristic
47	Dic₁₁⋊C₁₆	C₂²	1	1	yes	characteristic
48	Dic₁₁⋊C₁₆	C₂²	1	1	yes	characteristic
49	Dic₁₁⋊C₁₆	C₂²	1	1	yes	characteristic
50	Dic₁₁⋊C₁₆	C₂²	1	1	yes	characteristic
51	C₁₆×Dic₁₁	C₂²	1	1	yes	characteristic
52	C₁₆×Dic₁₁	C₂²	1	1	yes	characteristic
53	C₄⋊(C₁₁⋊C₁₆)	C₂²	1	1	yes	characteristic
54	C₄⋊(C₁₁⋊C₁₆)	C₂²	1	1	yes	characteristic
55	C₄⋊(C₁₁⋊C₁₆)	C₂²	1	1	yes	characteristic
56	#10622099	C₂²	1	1	yes	characteristic
57	#10622099	C₂²	1	1	yes	characteristic
58	C₄×C₁₁⋊C₁₆	C₂²	1	1	yes	characteristic
59	C₄×Q₈×C₁₁	C₂×C₄	1	1	yes	characteristic
60	#66999	C₈	1	1	yes	characteristic
61	#66997	C₈	1	1	yes	characteristic
62	C₂×#4313	C₂×C₄	1	1	yes	characteristic
63	C₂×#4313	C₂×C₄	1	1	yes	characteristic
64	C₂×C₈×D₁₁	C₂×C₄	1	1	yes	characteristic
65	C₂×C₈×D₁₁	C₂³	1	1	yes	characteristic
66	#66950	C₈	1	1	yes	characteristic
67	#66949	C₈	1	1	yes	characteristic
68	#66949	C₈	1	1	yes	characteristic
69	#66942	C₈	1	1	yes	characteristic
70	#66942	C₈	1	1	yes	characteristic
71	#66941	C₈	1	1	yes	characteristic
72	#66925	C₂×C₄	1	1	yes	characteristic
73	#66925	C₂×C₄	1	1	yes	characteristic
74	C₄²×D₁₁	C₂×C₄	1	1	yes	characteristic
75	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
76	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
77	C₄×Dic₂₂	C₂×C₄	1	1	yes	characteristic
78	C₂×C₁₁×C₁₆	C₂³	1	1	yes	characteristic
79	C₂×C₁₁×C₁₆	C₂³	1	1	yes	characteristic
80	C₂×C₁₁×C₁₆	C₂³	1	1	yes	characteristic
81	C₂×C₁₁×C₁₆	C₂³	1	1	yes	characteristic
82	C₁₁×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
83	C₁₁×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
84	C₁₁×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
85	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
86	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
87	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
88	#66879	C₂×C₄	1	1	yes	characteristic
89	#66879	C₂×C₄	1	1	yes	characteristic
90	Dic₁₁⋊C₈	C₂×C₄	1	1	yes	characteristic
91	Dic₁₁⋊C₈	C₂×C₄	1	1	yes	characteristic
92	Dic₁₁⋊C₈	C₂×C₄	1	1	yes	characteristic
93	Dic₁₁⋊C₈	C₂×C₄	1	1	yes	characteristic
94	Dic₁₁⋊C₈	C₂×C₄	1	1	yes	characteristic
95	Dic₁₁⋊C₈	C₂×C₄	1	1	yes	characteristic
96	C₈×Dic₁₁	C₂×C₄	1	1	yes	characteristic
97	C₈×Dic₁₁	C₂³	1	1	yes	characteristic
98	C₈×Dic₁₁	C₂³	1	1	yes	characteristic
99	C₈×Dic₁₁	C₂³	1	1	yes	characteristic
100	C₂×C₁₁⋊C₁₆	C₂³	1	1	yes	characteristic
101	C₂×C₁₁⋊C₁₆	C₂³	1	1	yes	characteristic
102	C₂×C₁₁⋊C₁₆	C₂³	1	1	yes	characteristic
103	C₂×C₁₁⋊C₁₆	C₂³	1	1	yes	characteristic
104	C₄⋊(C₁₁⋊C₈)	C₂×C₄	1	1	yes	characteristic
105	C₄⋊(C₁₁⋊C₈)	C₂×C₄	1	1	yes	characteristic
106	C₄⋊(C₁₁⋊C₈)	C₂×C₄	1	1	yes	characteristic
107	#66867	C₂×C₄	1	1	yes	characteristic
108	#66867	C₂×C₄	1	1	yes	characteristic
109	C₄×C₁₁⋊C₈	C₂×C₄	1	1	yes	characteristic
110	#66862	—	2	2	no	—
111	#66862	—	2	2	no	—
112	C₁₆×D₁₁	—	2	2	no	—
113	C₁₆×D₁₁	Q₈	1	4	yes	complemented
114	#33475	—	11	1	no	maximal, Sylow
115	C₂×Q₈×C₁₁	C₂×C₈	1	1	yes	characteristic
116	C₂×C₄×D₁₁	C₂×C₈	1	1	yes	characteristic
117	C₂×C₄×D₁₁	C₂×C₈	1	1	yes	characteristic
118	C₂×C₄×D₁₁	C₂²×C₄	1	1	yes	characteristic
119	C₂×Dic₂₂	C₂×C₈	1	1	yes	characteristic
120	C₂×Dic₂₂	C₂×C₈	1	1	yes	characteristic
121	C₂×Dic₂₂	C₂×C₈	1	1	yes	characteristic
122	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
123	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
124	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
125	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
126	C₁₁×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
127	C₁₁×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
128	C₁₁×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
129	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
130	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
131	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
132	(C₂×D₁₁)⋊C₄	C₂×C₈	1	1	yes	characteristic
133	(C₂×D₁₁)⋊C₄	C₂×C₈	1	1	yes	characteristic
134	(C₂×D₁₁)⋊C₄	C₂×C₈	1	1	yes	characteristic
135	(C₂×D₁₁)⋊C₄	C₂×C₈	1	1	yes	characteristic
136	C₄⋊Dic₁₁	C₂×C₈	1	1	yes	characteristic
137	C₄⋊Dic₁₁	C₂×C₈	1	1	yes	characteristic
138	C₄⋊Dic₁₁	C₂×C₈	1	1	yes	characteristic
139	Dic₁₁⋊C₄	C₂×C₈	1	1	yes	characteristic
140	Dic₁₁⋊C₄	C₂×C₈	1	1	yes	characteristic
141	Dic₁₁⋊C₄	C₂×C₈	1	1	yes	characteristic
142	Dic₁₁⋊C₄	C₂×C₈	1	1	yes	characteristic
143	Dic₁₁⋊C₄	C₂×C₈	1	1	yes	characteristic
144	Dic₁₁⋊C₄	C₂×C₈	1	1	yes	characteristic
145	Dic₁₁⋊C₄	C₂×C₈	1	1	yes	characteristic
146	Dic₁₁⋊C₄	C₂×C₈	1	1	yes	characteristic
147	Dic₁₁⋊C₄	C₂×C₈	1	1	yes	characteristic
148	Dic₁₁⋊C₄	C₂×C₈	1	1	yes	characteristic
149	C₄×Dic₁₁	C₂×C₈	1	1	yes	characteristic
150	C₄×Dic₁₁	C₂×C₈	1	1	yes	characteristic
151	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
152	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
153	C₄×Dic₁₁	C₂²×C₄	1	1	yes	characteristic
154	C₂×C₁₁⋊C₈	C₂²×C₄	1	1	yes	characteristic
155	C₂×C₁₁⋊C₈	C₂²×C₄	1	1	yes	characteristic
156	C₂×C₁₁⋊C₈	C₂²×C₄	1	1	yes	characteristic
157	C₂×C₁₁⋊C₈	C₂²×C₄	1	1	yes	characteristic
158	#4313	—	2	2	no	—
159	#4313	—	2	2	no	—
160	C₈×D₁₁	—	2	2	no	—
161	C₈×D₁₁	C₂×Q₈	1	2	yes	—
162	C₈×D₁₁	#41	1	2	yes	—
163	C₁₁×C₁₆	—	2	1	no	—
164	C₁₁×C₁₆	—	2	1	no	—
165	C₁₁×C₁₆	—	2	1	no	—
166	C₁₁×C₁₆	C₂×Q₈	1	2	yes	—
167	C₁₁⋊C₁₆	—	2	1	no	—
168	C₁₁⋊C₁₆	—	2	1	no	—
169	C₁₁⋊C₁₆	—	2	1	no	—
170	C₁₁⋊C₁₆	C₂×Q₈	1	2	yes	—
171	#2960	—	11	1	no	—
172	#2183	—	11	1	no	—
173	#2183	—	11	1	no	—
174	#2183	—	11	1	no	—
175	#2183	—	11	1	no	—
176	#2183	—	11	1	no	—
177	#2183	—	11	1	no	—
178	#2183	—	11	1	no	—
179	#2183	D₁₁	1	1	yes	characteristic, complemented
180	#2151	—	11	1	no	—
181	#2151	—	11	1	no	—
182	#2150	—	11	1	no	—
183	#2108	—	11	1	no	—
184	#2108	—	11	1	no	—
185	C₂×#346	—	11	1	no	—
186	C₂²×D₁₁	C₂²×C₈	1	1	yes	characteristic
187	Q₈×C₁₁	—	4	1	no	—
188	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
189	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
190	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
191	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
192	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
193	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
194	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
195	C₂×Dic₁₁	C₂²×C₈	1	1	yes	characteristic
196	C₂×Dic₁₁	C₂²×C₈	1	1	yes	characteristic
197	C₂×Dic₁₁	C₂²×C₈	1	1	yes	characteristic
198	C₂×Dic₁₁	C₂²×C₈	1	1	yes	characteristic
199	C₂×Dic₁₁	C₂²×C₈	1	1	yes	characteristic
200	C₂×Dic₁₁	C₂²×C₈	1	1	yes	characteristic
201	C₂×Dic₁₁	C₂²×C₈	1	1	yes	characteristic
202	C₄×D₁₁	—	4	1	no	—
203	C₄×D₁₁	—	4	1	no	—
204	C₄×D₁₁	C₄×Q₈	1	2	yes	—
205	C₄×D₁₁	#131	1	2	yes	—
206	Dic₂₂	—	4	1	no	—
207	Dic₂₂	—	4	1	no	—
208	Dic₂₂	—	4	1	no	—
209	C₈×C₁₁	—	2	1	no	—
210	C₈×C₁₁	—	2	1	no	—
211	C₈×C₁₁	—	2	1	no	—
212	C₈×C₁₁	C₂²×Q₈	1	1	yes	characteristic
213	C₈×C₁₁	C₂×#41	1	1	yes	characteristic
214	C₁₁⋊C₈	—	2	1	no	—
215	C₁₁⋊C₈	—	2	1	no	—
216	C₁₁⋊C₈	—	2	1	no	—
217	C₁₁⋊C₈	C₄×Q₈	1	2	yes	—
218	#533	—	11	1	no	—
219	C₂×M₃₂	—	11	1	no	—
220	C₂×M₃₂	—	11	1	no	—
221	C₂²×C₁₆	—	11	1	no	—
222	C₂²×C₁₆	—	11	1	no	—
223	#446	—	11	1	no	—
224	#446	—	11	1	no	—
225	#446	—	11	1	no	—
226	#446	—	11	1	no	—
227	C₈×Q₈	—	11	1	no	—
228	C₈×Q₈	—	11	1	no	—
229	C₈×Q₈	—	11	1	no	—
230	C₈×Q₈	C₂×D₁₁	1	1	yes	characteristic
231	#424	—	11	1	no	—
232	#424	—	11	1	no	—
233	#423	—	11	1	no	—
234	#405	—	11	1	no	—
235	#405	—	11	1	no	—
236	C₂×C₄×C₈	—	11	1	no	—
237	C₄⋊C₁₆	—	11	1	no	—
238	C₄⋊C₁₆	—	11	1	no	—
239	C₄⋊C₁₆	—	11	1	no	—
240	C₄⋊C₁₆	—	11	1	no	—
241	C₄⋊C₁₆	—	11	1	no	—
242	C₄⋊C₁₆	—	11	1	no	—
243	C₄⋊C₁₆	—	11	1	no	—
244	C₄⋊C₁₆	—	11	1	no	—
245	C₄⋊C₁₆	—	11	1	no	—
246	C₄⋊C₁₆	C₂×D₁₁	1	1	yes	characteristic
247	C₄⋊C₁₆	C₂×D₁₁	1	1	yes	characteristic
248	C₄⋊C₁₆	C₂×D₁₁	1	1	yes	characteristic
249	#346	—	11	1	no	—
250	#346	—	11	1	no	—
251	#346	—	11	1	no	—
252	#346	—	11	1	no	—
253	#346	—	11	1	no	—
254	#346	—	11	1	no	—
255	#346	C₂×D₁₁	1	1	yes	characteristic
256	#346	C₂×D₁₁	1	1	yes	characteristic
257	C₄×C₁₆	—	11	1	no	—
258	C₄×C₁₆	—	11	1	no	—
259	C₄×C₁₆	—	11	1	no	—
260	C₄×C₁₆	C₂×D₁₁	1	1	yes	characteristic
261	C₂²×C₁₁	C₂³×C₈	1	1	yes	characteristic
262	C₂×D₁₁	—	2	1	no	—
263	C₂×D₁₁	—	2	1	no	—
264	C₂×D₁₁	C₈×Q₈	1	2	yes	—
265	C₄×C₁₁	—	2	1	no	—
266	C₄×C₁₁	—	2	1	no	—
267	C₄×C₁₁	—	2	1	no	—
268	C₄×C₁₁	—	2	1	no	—
269	C₄×C₁₁	—	2	1	no	—
270	C₄×C₁₁	—	2	1	no	—
271	C₄×C₁₁	C₂×C₄×Q₈	1	1	yes	characteristic
272	C₄×C₁₁	C₂×#131	1	1	yes	characteristic
273	Dic₁₁	—	2	1	no	—
274	Dic₁₁	—	2	1	no	—
275	Dic₁₁	—	2	1	no	—
276	Dic₁₁	—	2	1	no	—
277	Dic₁₁	—	2	1	no	—
278	Dic₁₁	—	2	1	no	—
279	Dic₁₁	C₈×Q₈	1	2	yes	—
280	C₂×M₁₆	—	11	1	no	—
281	C₂×M₁₆	—	11	1	no	—
282	C₂²×C₈	—	11	1	no	—
283	C₂²×C₈	—	11	1	no	—
284	C₄⋊Q₈	—	11	1	no	—
285	C₄⋊Q₈	—	11	1	no	—
286	#125	—	11	1	no	—
287	#125	—	11	1	no	—
288	C₂²⋊Q₈	—	11	1	no	—
289	C₂²⋊Q₈	—	11	1	no	—
290	C₂²⋊Q₈	—	11	1	no	—
291	C₂²⋊Q₈	—	11	1	no	—
292	C₄×Q₈	—	11	1	no	—
293	C₄×Q₈	—	11	1	no	—
294	C₄×Q₈	—	11	1	no	—
295	C₄×Q₈	C₄×D₁₁	1	1	yes	characteristic
296	#117	—	11	1	no	—
297	#117	—	11	1	no	—
298	C₂×C₄²	—	11	1	no	—
299	M₃₂	—	22	2	no	—
300	M₃₂	—	22	2	no	—
301	C₂×C₁₆	—	11	1	no	—
302	C₂×C₁₆	—	11	4	no	—
303	C₂×C₁₆	—	11	1	no	—
304	C₂×C₁₆	—	11	1	no	—
305	C₂×C₁₆	—	11	1	no	—
306	C₂×C₁₆	—	22	2	no	—
307	C₂×C₁₆	C₂²×D₁₁	1	1	yes	characteristic
308	C₂×C₁₆	C₂²×D₁₁	1	1	yes	characteristic
309	C₂×C₁₆	C₂²×D₁₁	1	1	yes	characteristic
310	C₂×C₁₆	C₂²×D₁₁	1	1	yes	characteristic
311	C₄⋊C₈	—	11	1	no	—
312	C₄⋊C₈	—	11	1	no	—
313	C₄⋊C₈	—	11	1	no	—
314	C₄⋊C₈	—	11	1	no	—
315	C₄⋊C₈	—	11	1	no	—
316	C₄⋊C₈	—	11	1	no	—
317	C₄⋊C₈	—	11	1	no	—
318	C₄⋊C₈	—	11	1	no	—
319	C₄⋊C₈	—	11	1	no	—
320	C₄⋊C₈	C₄×D₁₁	1	1	yes	characteristic
321	C₄⋊C₈	C₄×D₁₁	1	1	yes	characteristic
322	C₄⋊C₈	C₄×D₁₁	1	1	yes	characteristic
323	#97	—	11	1	no	—
324	#97	—	11	1	no	—
325	#97	—	11	1	no	—
326	#97	—	11	1	no	—
327	C₄×C₈	—	11	1	no	—
328	C₄×C₈	—	11	1	no	—
329	C₄×C₈	—	11	1	no	—
330	C₄×C₈	—	11	1	no	—
331	C₄×C₈	—	11	1	no	—
332	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
333	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
334	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
335	C₂×C₁₁	C₂×C₈×Q₈	1	1	yes	characteristic
336	C₂×C₁₁	#3407	1	1	yes	characteristic
337	C₂×C₁₁	#3407	1	1	yes	characteristic
338	D₁₁	—	2	2	no	—
339	C₂×Q₈	—	11	1	no	—
340	C₂×Q₈	—	11	1	no	—
341	C₂×Q₈	—	11	1	no	—
342	C₂×Q₈	C₈×D₁₁	1	1	yes	characteristic
343	C₂²×C₄	—	11	1	no	—
344	C₂²×C₄	—	11	1	no	—
345	C₂²×C₄	—	11	1	no	—
346	M₁₆	—	22	2	no	—
347	M₁₆	—	22	2	no	—
348	C₂×C₈	—	11	1	no	—
349	C₂×C₈	—	11	2	no	—
350	C₂×C₈	—	11	2	no	—
351	C₂×C₈	—	11	1	no	—
352	C₂×C₈	—	11	1	no	—
353	C₂×C₈	—	11	1	no	—
354	C₂×C₈	—	22	2	no	—
355	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
356	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
357	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
358	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
359	C₄⋊C₄	—	11	1	no	—
360	C₄⋊C₄	—	11	1	no	—
361	C₄⋊C₄	—	11	1	no	—
362	C₄⋊C₄	—	11	1	no	—
363	C₄⋊C₄	—	11	1	no	—
364	C₄⋊C₄	—	11	1	no	—
365	C₄⋊C₄	—	11	1	no	—
366	C₄⋊C₄	—	11	1	no	—
367	C₄⋊C₄	—	11	1	no	—
368	C₄⋊C₄	—	11	1	no	—
369	C₄⋊C₄	—	11	1	no	—
370	C₄⋊C₄	—	11	1	no	—
371	C₄⋊C₄	—	11	1	no	—
372	C₄⋊C₄	C₈×D₁₁	1	1	yes	characteristic
373	C₄⋊C₄	C₈×D₁₁	1	1	yes	characteristic
374	C₄⋊C₄	C₈×D₁₁	1	1	yes	characteristic
375	C₂²⋊C₄	—	11	1	no	—
376	C₂²⋊C₄	—	11	1	no	—
377	C₂²⋊C₄	—	11	1	no	—
378	C₂²⋊C₄	—	11	1	no	—
379	C₄²	—	11	1	no	—
380	C₄²	—	11	1	no	—
381	C₄²	—	11	1	no	—
382	C₄²	—	11	1	no	—
383	C₄²	—	11	1	no	—
384	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
385	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
386	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
387	C₁₆	—	2	1	no	—
388	C₁₆	—	2	1	no	—
389	C₁₆	—	2	1	no	—
390	C₁₆	—	11	2	no	—
391	C₁₆	—	22	1	no	—
392	C₁₆	—	22	1	no	—
393	C₁₆	—	22	1	no	—
394	C₁₆	Q₈×D₁₁	1	2	yes	—
395	C₁₁	#33475	1	1	yes	characteristic, complemented, Sylow
396	C₂³	—	11	1	no	—
397	Q₈	—	4	1	no	—
398	Q₈	—	44	1	no	—
399	Q₈	—	44	1	no	—
400	Q₈	—	44	1	no	—
401	C₂×C₄	—	11	1	no	—
402	C₂×C₄	—	11	2	no	—
403	C₂×C₄	—	11	2	no	—
404	C₂×C₄	—	11	1	no	—
405	C₂×C₄	—	11	1	no	—
406	C₂×C₄	—	11	1	no	—
407	C₂×C₄	—	11	1	no	—
408	C₂×C₄	—	11	1	no	—
409	C₂×C₄	—	11	1	no	—
410	C₂×C₄	—	44	1	no	—
411	C₂×C₄	—	44	1	no	—
412	C₂×C₄	C₂×C₈×D₁₁	1	1	yes	characteristic
413	C₂×C₄	C₂×C₈×D₁₁	1	1	yes	characteristic
414	C₂×C₄	C₂×C₈×D₁₁	1	1	yes	characteristic
415	C₂×C₄	C₂×C₈×D₁₁	1	1	yes	characteristic
416	C₂×C₄	C₂×C₈×D₁₁	1	1	yes	characteristic
417	C₂×C₄	C₂×C₈×D₁₁	1	1	yes	characteristic
418	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
419	C₈	—	2	1	no	—
420	C₈	—	2	1	no	—
421	C₈	—	2	1	no	—
422	C₈	—	11	2	no	—
423	C₈	—	22	1	no	—
424	C₈	—	22	1	no	—
425	C₈	—	22	1	no	—
426	C₈	C₂×Q₈×D₁₁	1	1	yes	characteristic
427	C₈	#41×D₁₁	1	1	yes	characteristic
428	C₂²	—	11	2	no	—
429	C₂²	—	22	1	no	—
430	C₂²	—	22	1	no	—
431	C₂²	C₂²×C₈×D₁₁	1	1	yes	characteristic
432	C₄	—	2	1	no	—
433	C₄	—	2	1	no	—
434	C₄	—	2	1	no	—
435	C₄	—	2	1	no	—
436	C₄	—	2	1	no	—
437	C₄	—	2	1	no	—
438	C₄	—	11	2	no	—
439	C₄	—	22	1	no	—
440	C₄	—	22	1	no	—
441	C₄	—	22	1	no	—
442	C₄	—	22	1	no	—
443	C₄	—	22	1	no	—
444	C₄	—	22	1	no	—
445	C₄	C₄×Q₈×D₁₁	1	1	yes	characteristic
446	C₄	D₁₁×#131	1	1	yes	characteristic
447	C₂	—	22	2	no	—
448	C₂	C₈×Q₈×D₁₁	1	1	yes	characteristic
449	C₂	#13081717	1	1	yes	characteristic
450	C₂	#13081718	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₈	C₂³×D₁₁
commutator, socle	C₂²×C₁₁	C₂³×C₈
Fitting	C₁₁×#2183	C₂
prime radical	C₂²×D₁₁	C₂²×C₈
cosocle	C₂×C₈×C₁₁	C₂⁴
hypercenter	#2183	D₁₁
hypocenter	C₁₁	#33475
LCS	G ▷ C₂²×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂×C₈ ◁ #2183

Complements

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

N	H ≅ G/N	type
2. #13070525	C₂	semidirect
3. #13070524	C₂	semidirect
4. #13070523	C₂	semidirect
5. #13070523	C₂	semidirect
6. #13070522	C₂	semidirect
7. #13070522	C₂	semidirect
8. #13070521	C₂	semidirect
15. C₁₁×#2183	C₂	semidirect
113. C₁₆×D₁₁	Q₈	semidirect
179. #2183	D₁₁	semidirect
395. C₁₁	#33475	semidirect

Maximal subgroups

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

subgroup	index
#13077545	2
#13070525	2
#13070524	2
#13070523	2
#13070522	2
#13070521	2
#13070373	2
#13070370	2
#13070214	2
#13070211	2
D₁₁×#346	2
C₁₁×#2183	2
#33475	11