Subgroups — C₁₁×#59945 #14637138

Order 2816.

2220 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2782	C₂	1	2	yes	maximal, complemented
2	C₁₁×#2684	C₂	1	2	yes	maximal, complemented
3	C₁₁×#2598	C₂	1	4	yes	maximal, complemented
4	C₁₁×#2580	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2572	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2495	C₂	1	2	yes	maximal, complemented
7	C₁₁×#2487	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#2482	C₂	1	4	yes	maximal, complemented
9	C₁₁×#2420	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2408	C₂	1	1	yes	maximal, characteristic
11	C₁₁×#2361	C₂	1	2	yes	maximal, complemented
12	C₁₁×#2358	C₂	1	2	yes	maximal, complemented
13	D₄×C₁₁×C₂²⋊C₄	C₂	1	2	yes	maximal, complemented
14	C₄×C₁₁×#124	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2293	C₂	1	2	yes	maximal, complemented
16	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic
17	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic
18	C₂×C₁₁×#121	C₂²	1	2	yes	—
19	C₂×C₁₁×#120	C₂²	1	2	yes	—
20	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
21	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
22	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
23	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
24	C₂×C₄×D₄×C₁₁	C₂²	1	4	yes	complemented
25	C₂×C₁₁×#117	C₂²	1	4	yes	complemented
26	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	4	yes	—
28	C₁₁×#400	C₂²	1	2	yes	complemented
29	C₁₁×#400	C₂²	1	4	yes	complemented
30	C₁₁×#399	C₂²	1	2	yes	—
31	C₁₁×#399	C₂²	1	4	yes	complemented
32	C₁₁×#397	C₂²	1	4	yes	—
33	C₁₁×#397	C₂²	1	4	yes	complemented
34	C₁₁×#394	C₂²	1	2	yes	—
35	C₁₁×#394	C₂²	1	4	yes	complemented
36	C₁₁×#393	C₂²	1	4	yes	complemented
37	C₁₁×#392	C₂²	1	2	yes	—
38	C₁₁×#391	C₂²	1	1	yes	characteristic, complemented
39	C₁₁×#390	C₂²	1	2	yes	—
40	C₁₁×#390	C₂²	1	2	yes	—
41	C₁₁×#390	C₂²	1	2	yes	—
42	C₁₁×#390	C₂²	1	1	yes	characteristic
43	C₁₁×#389	C₂²	1	2	yes	complemented
44	C₁₁×#389	C₂²	1	2	yes	complemented
45	C₁₁×#389	C₂²	1	2	yes	complemented
46	C₁₁×#388	C₂²	1	2	yes	—
47	C₁₁×#388	C₂²	1	4	yes	—
48	C₁₁×#388	C₂²	1	4	yes	complemented
49	C₁₁×#388	C₂²	1	4	yes	complemented
50	C₁₁×#388	C₂²	1	4	yes	complemented
51	C₁₁×#388	C₂²	1	2	yes	complemented
52	C₁₁×#386	C₂²	1	2	yes	—
53	C₁₁×#386	C₂²	1	4	yes	—
54	C₁₁×#386	C₂²	1	4	yes	—
55	C₁₁×#386	C₂²	1	4	yes	complemented
56	C₁₁×#386	C₂²	1	4	yes	complemented
57	C₁₁×#385	C₂²	1	4	yes	complemented
58	C₁₁×#385	C₂²	1	4	yes	complemented
59	C₁₁×#385	C₂²	1	2	yes	complemented
60	C₁₁×#385	C₂²	1	4	yes	complemented
61	C₁₁×#383	C₂²	1	4	yes	complemented
62	C₁₁×#382	C₂²	1	2	yes	complemented
63	C₁₁×#382	C₂²	1	1	yes	characteristic, complemented
64	C₁₁×#381	C₂²	1	4	yes	complemented
65	C₁₁×#380	C₂²	1	1	yes	characteristic
66	C₁₁×#380	C₂²	1	2	yes	—
67	C₁₁×#380	C₂²	1	1	yes	characteristic, complemented
68	C₁₁×#379	C₂²	1	2	yes	—
69	C₁₁×#379	C₂²	1	4	yes	—
70	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	complemented
71	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
72	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
73	C₄×C₁₁×C₂²⋊C₄	C₂²	1	4	yes	complemented
74	C₄³×C₁₁	C₂²	1	1	yes	characteristic, complemented
75	C₂⁵×C₁₁	C₂³	1	2	yes	—
76	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
77	C₂²×D₄×C₁₁	—	2	8	no	—
78	C₂²×D₄×C₁₁	—	4	2	no	—
79	C₂²×D₄×C₁₁	C₂³	1	4	yes	—
80	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
81	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
82	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
83	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
84	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
85	C₂³×C₄×C₁₁	C₂³	1	4	yes	—
86	C₂³×C₄×C₁₁	C₂³	1	4	yes	—
87	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
88	C₁₁×#124	—	2	4	no	—
89	C₁₁×#121	—	2	8	no	—
90	C₁₁×#120	—	2	8	no	—
91	C₄×Q₈×C₁₁	—	4	2	no	—
92	C₄×D₄×C₁₁	—	2	8	no	—
93	C₄×D₄×C₁₁	—	4	8	no	—
94	C₄×D₄×C₁₁	—	4	4	no	—
95	C₄×D₄×C₁₁	—	4	2	no	—
96	C₁₁×#117	—	4	8	no	—
97	C₂×C₁₁×C₄⋊C₄	—	4	2	no	—
98	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
99	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
100	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
101	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
102	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
103	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
104	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
105	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
106	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
107	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
108	C₂×C₁₁×C₂²⋊C₄	—	4	8	no	—
109	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
110	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
111	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
112	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
113	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
114	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
115	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
116	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
117	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
118	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
119	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
120	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
121	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
122	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
123	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
124	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
125	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
126	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
127	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
128	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
129	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
130	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
131	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
132	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
133	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
134	C₁₁×#95	C₂³	1	2	yes	—
135	C₁₁×#95	C₂³	1	2	yes	—
136	C₁₁×#95	C₂³	1	2	yes	—
137	C₁₁×#95	C₂³	1	4	yes	—
138	C₁₁×#95	C₂³	1	2	yes	—
139	C₁₁×#95	C₂³	1	4	yes	—
140	C₁₁×#95	C₂³	1	4	yes	—
141	C₁₁×#95	C₂³	1	2	yes	—
142	C₁₁×#95	C₂³	1	4	yes	—
143	C₁₁×#95	C₂³	1	2	yes	—
144	C₁₁×#95	C₂³	1	4	yes	—
145	C₁₁×#95	C₂³	1	4	yes	—
146	C₁₁×#95	C₂³	1	4	yes	—
147	#59945	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
148	C₂⁴×C₁₁	—	2	4	no	—
149	C₂⁴×C₁₁	—	2	8	no	—
150	C₂⁴×C₁₁	—	4	4	no	—
151	C₂⁴×C₁₁	—	4	2	no	—
152	C₂⁴×C₁₁	—	4	2	no	—
153	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
154	C₂⁴×C₁₁	C₂⁴	1	4	yes	—
155	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
156	C₂×Q₈×C₁₁	—	2	2	no	—
157	C₂×Q₈×C₁₁	—	4	1	no	—
158	C₂×Q₈×C₁₁	—	4	1	no	—
159	C₂×D₄×C₁₁	—	2	8	no	—
160	C₂×D₄×C₁₁	—	2	8	no	—
161	C₂×D₄×C₁₁	—	2	8	no	—
162	C₂×D₄×C₁₁	—	2	4	no	—
163	C₂×D₄×C₁₁	—	2	4	no	—
164	C₂×D₄×C₁₁	—	4	1	no	—
165	C₂×D₄×C₁₁	—	4	4	no	—
166	C₂×D₄×C₁₁	—	4	2	no	—
167	C₂×D₄×C₁₁	—	4	1	no	—
168	C₂×D₄×C₁₁	—	4	16	no	—
169	C₂×D₄×C₁₁	#41	1	8	yes	—
170	C₂×D₄×C₁₁	#41	1	4	yes	—
171	C₂²×C₄×C₁₁	—	2	8	no	—
172	C₂²×C₄×C₁₁	—	2	4	no	—
173	C₂²×C₄×C₁₁	—	2	4	no	—
174	C₂²×C₄×C₁₁	—	2	8	no	—
175	C₂²×C₄×C₁₁	—	2	2	no	—
176	C₂²×C₄×C₁₁	—	2	2	no	—
177	C₂²×C₄×C₁₁	—	4	4	no	—
178	C₂²×C₄×C₁₁	—	4	4	no	—
179	C₂²×C₄×C₁₁	—	4	2	no	—
180	C₂²×C₄×C₁₁	—	4	4	no	—
181	C₂²×C₄×C₁₁	—	4	4	no	—
182	C₂²×C₄×C₁₁	—	4	4	no	—
183	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
184	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
185	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
186	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
187	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
188	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
189	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
190	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
191	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
192	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
193	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
194	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
195	C₁₁×C₄⋊C₄	—	2	4	no	—
196	C₁₁×C₄⋊C₄	—	2	4	no	—
197	C₁₁×C₄⋊C₄	—	2	4	no	—
198	C₁₁×C₄⋊C₄	—	4	2	no	—
199	C₁₁×C₄⋊C₄	—	4	4	no	—
200	C₁₁×C₄⋊C₄	—	4	4	no	—
201	C₁₁×C₄⋊C₄	—	4	1	no	—
202	C₁₁×C₄⋊C₄	—	4	4	no	—
203	C₁₁×C₄⋊C₄	—	4	1	no	—
204	C₁₁×C₄⋊C₄	—	4	2	no	—
205	C₁₁×C₂²⋊C₄	—	2	8	no	—
206	C₁₁×C₂²⋊C₄	—	2	4	no	—
207	C₁₁×C₂²⋊C₄	—	2	8	no	—
208	C₁₁×C₂²⋊C₄	—	2	4	no	—
209	C₁₁×C₂²⋊C₄	—	2	4	no	—
210	C₁₁×C₂²⋊C₄	—	2	8	no	—
211	C₁₁×C₂²⋊C₄	—	2	4	no	—
212	C₁₁×C₂²⋊C₄	—	2	8	no	—
213	C₁₁×C₂²⋊C₄	—	2	4	no	—
214	C₁₁×C₂²⋊C₄	—	4	4	no	—
215	C₁₁×C₂²⋊C₄	—	4	4	no	—
216	C₁₁×C₂²⋊C₄	—	4	2	no	—
217	C₁₁×C₂²⋊C₄	—	4	4	no	—
218	C₁₁×C₂²⋊C₄	—	4	4	no	—
219	C₁₁×C₂²⋊C₄	—	4	4	no	—
220	C₁₁×C₂²⋊C₄	—	4	1	no	—
221	C₁₁×C₂²⋊C₄	—	4	1	no	—
222	C₁₁×C₂²⋊C₄	—	4	4	no	—
223	C₄²×C₁₁	—	2	4	no	—
224	C₄²×C₁₁	—	2	2	no	—
225	C₄²×C₁₁	—	2	4	no	—
226	C₄²×C₁₁	—	2	8	no	—
227	C₄²×C₁₁	—	2	2	no	—
228	C₄²×C₁₁	—	2	4	no	—
229	C₄²×C₁₁	—	4	1	no	—
230	#2782	C₂×C₁₁	1	2	yes	complemented
231	#2684	C₂×C₁₁	1	2	yes	complemented
232	#2598	C₂×C₁₁	1	4	yes	complemented
233	#2580	C₂×C₁₁	1	2	yes	complemented
234	#2572	C₂×C₁₁	1	2	yes	complemented
235	#2495	C₂×C₁₁	1	2	yes	complemented
236	#2487	C₂×C₁₁	1	1	yes	characteristic, complemented
237	#2482	C₂×C₁₁	1	4	yes	complemented
238	#2420	C₂×C₁₁	1	2	yes	complemented
239	#2408	C₂×C₁₁	1	1	yes	characteristic
240	#2361	C₂×C₁₁	1	2	yes	complemented
241	#2358	C₂×C₁₁	1	2	yes	complemented
242	D₄×C₂²⋊C₄	C₂×C₁₁	1	2	yes	complemented
243	C₄×#124	C₂×C₁₁	1	1	yes	characteristic, complemented
244	#2293	C₂×C₁₁	1	2	yes	complemented
245	C₂³×C₁₁	—	2	4	no	—
246	C₂³×C₁₁	—	2	2	no	—
247	C₂³×C₁₁	—	2	2	no	—
248	C₂³×C₁₁	—	2	4	no	—
249	C₂³×C₁₁	—	2	2	no	—
250	C₂³×C₁₁	—	2	4	no	—
251	C₂³×C₁₁	—	2	2	no	—
252	C₂³×C₁₁	—	2	4	no	—
253	C₂³×C₁₁	—	2	1	no	—
254	C₂³×C₁₁	—	2	1	no	—
255	C₂³×C₁₁	—	2	4	no	—
256	C₂³×C₁₁	—	2	1	no	—
257	C₂³×C₁₁	—	2	4	no	—
258	C₂³×C₁₁	—	2	1	no	—
259	C₂³×C₁₁	—	4	8	no	—
260	C₂³×C₁₁	—	4	16	no	—
261	C₂³×C₁₁	—	8	4	no	—
262	C₂³×C₁₁	—	8	8	no	—
263	C₂³×C₁₁	—	8	4	no	—
264	C₂³×C₁₁	C₂×#41	1	2	yes	—
265	C₂³×C₁₁	C₂×#41	1	8	yes	—
266	C₂³×C₁₁	C₂×#41	1	2	yes	—
267	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
268	Q₈×C₁₁	—	4	4	no	—
269	D₄×C₁₁	—	2	16	no	—
270	D₄×C₁₁	—	4	4	no	—
271	D₄×C₁₁	—	4	16	no	—
272	D₄×C₁₁	—	4	8	no	—
273	C₂×C₄×C₁₁	—	2	2	no	—
274	C₂×C₄×C₁₁	—	2	1	no	—
275	C₂×C₄×C₁₁	—	2	2	no	—
276	C₂×C₄×C₁₁	—	2	1	no	—
277	C₂×C₄×C₁₁	—	2	2	no	—
278	C₂×C₄×C₁₁	—	2	2	no	—
279	C₂×C₄×C₁₁	—	2	2	no	—
280	C₂×C₄×C₁₁	—	2	4	no	—
281	C₂×C₄×C₁₁	—	2	2	no	—
282	C₂×C₄×C₁₁	—	2	4	no	—
283	C₂×C₄×C₁₁	—	2	4	no	—
284	C₂×C₄×C₁₁	—	2	2	no	—
285	C₂×C₄×C₁₁	—	2	2	no	—
286	C₂×C₄×C₁₁	—	2	1	no	—
287	C₂×C₄×C₁₁	—	2	2	no	—
288	C₂×C₄×C₁₁	—	2	2	no	—
289	C₂×C₄×C₁₁	—	2	4	no	—
290	C₂×C₄×C₁₁	—	2	4	no	—
291	C₂×C₄×C₁₁	—	2	2	no	—
292	C₂×C₄×C₁₁	—	2	2	no	—
293	C₂×C₄×C₁₁	—	2	4	no	—
294	C₂×C₄×C₁₁	—	2	2	no	—
295	C₂×C₄×C₁₁	—	2	4	no	—
296	C₂×C₄×C₁₁	—	2	4	no	—
297	C₂×C₄×C₁₁	—	2	1	no	—
298	C₂×C₄×C₁₁	—	2	1	no	—
299	C₂×C₄×C₁₁	—	2	4	no	—
300	C₂×C₄×C₁₁	—	2	2	no	—
301	C₂×C₄×C₁₁	—	4	16	no	—
302	C₂×C₄×C₁₁	—	4	4	no	—
303	C₂×C₄×C₁₁	—	4	4	no	—
304	C₂×C₄×C₁₁	—	8	4	no	—
305	C₂×C₄×C₁₁	—	8	8	no	—
306	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
307	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
308	C₂×C₄×C₁₁	H(5,𝔽₂)	1	4	yes	—
309	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
310	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic
311	C₂×#124	C₂²×C₁₁	1	1	yes	characteristic
312	C₂×#121	C₂²×C₁₁	1	2	yes	—
313	C₂×#120	C₂²×C₁₁	1	2	yes	—
314	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
315	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
316	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
317	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
318	C₂×C₄×D₄	C₂²×C₁₁	1	4	yes	complemented
319	C₂×#117	C₂²×C₁₁	1	4	yes	complemented
320	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
321	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	4	yes	—
322	#400	C₂²×C₁₁	1	2	yes	complemented
323	#400	C₂²×C₁₁	1	4	yes	complemented
324	#399	C₂²×C₁₁	1	2	yes	—
325	#399	C₂²×C₁₁	1	4	yes	complemented
326	#397	C₂²×C₁₁	1	4	yes	—
327	#397	C₂²×C₁₁	1	4	yes	complemented
328	#394	C₂²×C₁₁	1	2	yes	—
329	#394	C₂²×C₁₁	1	4	yes	complemented
330	#393	C₂²×C₁₁	1	4	yes	complemented
331	#392	C₂²×C₁₁	1	2	yes	—
332	#391	C₂²×C₁₁	1	1	yes	characteristic, complemented
333	#390	C₂²×C₁₁	1	2	yes	—
334	#390	C₂²×C₁₁	1	2	yes	—
335	#390	C₂²×C₁₁	1	2	yes	—
336	#390	C₂²×C₁₁	1	1	yes	characteristic
337	#389	C₂²×C₁₁	1	2	yes	complemented
338	#389	C₂²×C₁₁	1	2	yes	complemented
339	#389	C₂²×C₁₁	1	2	yes	complemented
340	#388	C₂²×C₁₁	1	4	yes	—
341	#388	C₂²×C₁₁	1	2	yes	—
342	#388	C₂²×C₁₁	1	4	yes	complemented
343	#388	C₂²×C₁₁	1	2	yes	complemented
344	#388	C₂²×C₁₁	1	4	yes	complemented
345	#388	C₂²×C₁₁	1	4	yes	complemented
346	#386	C₂²×C₁₁	1	4	yes	—
347	#386	C₂²×C₁₁	1	4	yes	—
348	#386	C₂²×C₁₁	1	2	yes	—
349	#386	C₂²×C₁₁	1	4	yes	complemented
350	#386	C₂²×C₁₁	1	4	yes	complemented
351	#385	C₂²×C₁₁	1	4	yes	complemented
352	#385	C₂²×C₁₁	1	4	yes	complemented
353	#385	C₂²×C₁₁	1	2	yes	complemented
354	#385	C₂²×C₁₁	1	4	yes	complemented
355	#383	C₂²×C₁₁	1	4	yes	complemented
356	#382	C₂²×C₁₁	1	2	yes	complemented
357	#382	C₂²×C₁₁	1	1	yes	characteristic, complemented
358	#381	C₂²×C₁₁	1	4	yes	complemented
359	#380	C₂²×C₁₁	1	2	yes	—
360	#380	C₂²×C₁₁	1	1	yes	characteristic
361	#380	C₂²×C₁₁	1	1	yes	characteristic, complemented
362	#379	C₂²×C₁₁	1	4	yes	—
363	#379	C₂²×C₁₁	1	2	yes	—
364	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	complemented
365	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
366	C₄×C₂²⋊C₄	C₂²×C₁₁	1	4	yes	complemented
367	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
368	C₄³	C₂²×C₁₁	1	1	yes	characteristic, complemented
369	C₂²×C₁₁	—	2	8	no	—
370	C₂²×C₁₁	—	2	4	no	—
371	C₂²×C₁₁	—	2	8	no	—
372	C₂²×C₁₁	—	2	4	no	—
373	C₂²×C₁₁	—	2	2	no	—
374	C₂²×C₁₁	—	2	2	no	—
375	C₂²×C₁₁	—	2	8	no	—
376	C₂²×C₁₁	—	4	1	no	—
377	C₂²×C₁₁	—	4	1	no	—
378	C₂²×C₁₁	—	4	4	no	—
379	C₂²×C₁₁	—	4	4	no	—
380	C₂²×C₁₁	—	4	2	no	—
381	C₂²×C₁₁	—	4	4	no	—
382	C₂²×C₁₁	—	4	2	no	—
383	C₂²×C₁₁	—	4	1	no	—
384	C₂²×C₁₁	—	4	4	no	—
385	C₂²×C₁₁	—	4	1	no	—
386	C₂²×C₁₁	—	8	16	no	—
387	C₂²×C₁₁	C₂²×#41	1	2	yes	—
388	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
389	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
390	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
391	C₂²×C₁₁	#585	1	1	yes	characteristic
392	C₄×C₁₁	—	2	2	no	—
393	C₄×C₁₁	—	2	4	no	—
394	C₄×C₁₁	—	4	1	no	—
395	C₄×C₁₁	—	4	1	no	—
396	C₄×C₁₁	—	4	2	no	—
397	C₄×C₁₁	—	4	4	no	—
398	C₄×C₁₁	—	4	2	no	—
399	C₄×C₁₁	—	4	4	no	—
400	C₄×C₁₁	—	4	1	no	—
401	C₄×C₁₁	—	4	4	no	—
402	C₄×C₁₁	—	4	2	no	—
403	C₄×C₁₁	#551	1	4	yes	—
404	C₂⁵	C₂³×C₁₁	1	2	yes	—
405	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
406	C₂²×D₄	—	2	8	no	—
407	C₂²×D₄	—	4	2	no	—
408	C₂²×D₄	C₂³×C₁₁	1	4	yes	—
409	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
410	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
411	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
412	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
413	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
414	C₂³×C₄	C₂³×C₁₁	1	4	yes	—
415	C₂³×C₄	C₂³×C₁₁	1	4	yes	—
416	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
417	#124	—	2	4	no	—
418	#121	—	2	8	no	—
419	#120	—	2	8	no	—
420	C₄×Q₈	—	4	2	no	—
421	C₄×D₄	—	2	8	no	—
422	C₄×D₄	—	4	8	no	—
423	C₄×D₄	—	4	4	no	—
424	C₄×D₄	—	4	2	no	—
425	#117	—	4	8	no	—
426	C₂×C₄⋊C₄	—	4	2	no	—
427	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
428	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
429	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
430	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
431	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
432	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
433	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
434	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
435	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
436	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
437	C₂×C₂²⋊C₄	—	4	8	no	—
438	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
439	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
440	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
441	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
442	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
443	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
444	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
445	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
446	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
447	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
448	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
449	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
450	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
451	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
452	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
453	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
454	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
455	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
456	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
457	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
458	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
459	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
460	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
461	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
462	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
463	#95	C₂³×C₁₁	1	2	yes	—
464	#95	C₂³×C₁₁	1	2	yes	—
465	#95	C₂³×C₁₁	1	2	yes	—
466	#95	C₂³×C₁₁	1	4	yes	—
467	#95	C₂³×C₁₁	1	2	yes	—
468	#95	C₂³×C₁₁	1	4	yes	—
469	#95	C₂³×C₁₁	1	4	yes	—
470	#95	C₂³×C₁₁	1	2	yes	—
471	#95	C₂³×C₁₁	1	4	yes	—
472	#95	C₂³×C₁₁	1	2	yes	—
473	#95	C₂³×C₁₁	1	4	yes	—
474	#95	C₂³×C₁₁	1	4	yes	—
475	#95	C₂³×C₁₁	1	4	yes	—
476	C₂×C₁₁	—	4	2	no	—
477	C₂×C₁₁	—	4	8	no	—
478	C₂×C₁₁	—	4	2	no	—
479	C₂×C₁₁	C₂×#551	1	1	yes	characteristic
480	C₂×C₁₁	#3481	1	2	yes	—
481	C₂×C₁₁	#3505	1	1	yes	characteristic
482	C₂×C₁₁	#3513	1	2	yes	—
483	C₂×C₁₁	#3549	1	1	yes	characteristic
484	C₂⁴	—	2	4	no	—
485	C₂⁴	—	2	8	no	—
486	C₂⁴	—	4	4	no	—
487	C₂⁴	—	4	2	no	—
488	C₂⁴	—	4	2	no	—
489	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
490	C₂⁴	C₂⁴×C₁₁	1	4	yes	—
491	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
492	C₂×Q₈	—	2	2	no	—
493	C₂×Q₈	—	4	1	no	—
494	C₂×Q₈	—	4	1	no	—
495	C₂×D₄	—	2	8	no	—
496	C₂×D₄	—	2	8	no	—
497	C₂×D₄	—	2	8	no	—
498	C₂×D₄	—	2	4	no	—
499	C₂×D₄	—	2	4	no	—
500	C₂×D₄	—	4	1	no	—
501	C₂×D₄	—	4	4	no	—
502	C₂×D₄	—	4	2	no	—
503	C₂×D₄	—	4	1	no	—
504	C₂×D₄	—	4	16	no	—
505	C₂×D₄	C₁₁×#41	1	8	yes	—
506	C₂×D₄	C₁₁×#41	1	4	yes	—
507	C₂²×C₄	—	2	8	no	—
508	C₂²×C₄	—	2	4	no	—
509	C₂²×C₄	—	2	4	no	—
510	C₂²×C₄	—	2	8	no	—
511	C₂²×C₄	—	2	2	no	—
512	C₂²×C₄	—	2	2	no	—
513	C₂²×C₄	—	4	4	no	—
514	C₂²×C₄	—	4	4	no	—
515	C₂²×C₄	—	4	2	no	—
516	C₂²×C₄	—	4	4	no	—
517	C₂²×C₄	—	4	4	no	—
518	C₂²×C₄	—	4	4	no	—
519	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
520	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
521	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
522	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
523	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
524	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
525	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
526	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
527	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
528	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
529	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
530	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
531	C₄⋊C₄	—	2	4	no	—
532	C₄⋊C₄	—	2	4	no	—
533	C₄⋊C₄	—	2	4	no	—
534	C₄⋊C₄	—	4	2	no	—
535	C₄⋊C₄	—	4	4	no	—
536	C₄⋊C₄	—	4	4	no	—
537	C₄⋊C₄	—	4	1	no	—
538	C₄⋊C₄	—	4	4	no	—
539	C₄⋊C₄	—	4	1	no	—
540	C₄⋊C₄	—	4	2	no	—
541	C₂²⋊C₄	—	2	8	no	—
542	C₂²⋊C₄	—	2	4	no	—
543	C₂²⋊C₄	—	2	8	no	—
544	C₂²⋊C₄	—	2	4	no	—
545	C₂²⋊C₄	—	2	4	no	—
546	C₂²⋊C₄	—	2	8	no	—
547	C₂²⋊C₄	—	2	4	no	—
548	C₂²⋊C₄	—	2	8	no	—
549	C₂²⋊C₄	—	2	4	no	—
550	C₂²⋊C₄	—	4	4	no	—
551	C₂²⋊C₄	—	4	4	no	—
552	C₂²⋊C₄	—	4	4	no	—
553	C₂²⋊C₄	—	4	4	no	—
554	C₂²⋊C₄	—	4	1	no	—
555	C₂²⋊C₄	—	4	1	no	—
556	C₂²⋊C₄	—	4	4	no	—
557	C₂²⋊C₄	—	4	2	no	—
558	C₂²⋊C₄	—	4	4	no	—
559	C₄²	—	2	4	no	—
560	C₄²	—	2	2	no	—
561	C₄²	—	2	4	no	—
562	C₄²	—	2	8	no	—
563	C₄²	—	2	2	no	—
564	C₄²	—	2	4	no	—
565	C₄²	—	4	1	no	—
566	C₁₁	#59945	1	1	yes	characteristic, direct product factor, Sylow
567	C₂³	—	2	4	no	—
568	C₂³	—	2	2	no	—
569	C₂³	—	2	2	no	—
570	C₂³	—	2	4	no	—
571	C₂³	—	2	2	no	—
572	C₂³	—	2	4	no	—
573	C₂³	—	2	2	no	—
574	C₂³	—	2	4	no	—
575	C₂³	—	2	1	no	—
576	C₂³	—	2	1	no	—
577	C₂³	—	2	4	no	—
578	C₂³	—	2	1	no	—
579	C₂³	—	2	4	no	—
580	C₂³	—	2	1	no	—
581	C₂³	—	4	8	no	—
582	C₂³	—	4	16	no	—
583	C₂³	—	8	4	no	—
584	C₂³	—	8	8	no	—
585	C₂³	—	8	4	no	—
586	C₂³	C₂×C₁₁×#41	1	2	yes	—
587	C₂³	C₂×C₁₁×#41	1	8	yes	—
588	C₂³	C₂×C₁₁×#41	1	2	yes	—
589	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
590	Q₈	—	4	4	no	—
591	D₄	—	2	16	no	—
592	D₄	—	4	4	no	—
593	D₄	—	4	16	no	—
594	D₄	—	4	8	no	—
595	C₂×C₄	—	2	2	no	—
596	C₂×C₄	—	2	1	no	—
597	C₂×C₄	—	2	2	no	—
598	C₂×C₄	—	2	1	no	—
599	C₂×C₄	—	2	2	no	—
600	C₂×C₄	—	2	2	no	—
601	C₂×C₄	—	2	2	no	—
602	C₂×C₄	—	2	4	no	—
603	C₂×C₄	—	2	2	no	—
604	C₂×C₄	—	2	4	no	—
605	C₂×C₄	—	2	4	no	—
606	C₂×C₄	—	2	2	no	—
607	C₂×C₄	—	2	2	no	—
608	C₂×C₄	—	2	1	no	—
609	C₂×C₄	—	2	2	no	—
610	C₂×C₄	—	2	2	no	—
611	C₂×C₄	—	2	4	no	—
612	C₂×C₄	—	2	4	no	—
613	C₂×C₄	—	2	2	no	—
614	C₂×C₄	—	2	2	no	—
615	C₂×C₄	—	2	4	no	—
616	C₂×C₄	—	2	2	no	—
617	C₂×C₄	—	2	4	no	—
618	C₂×C₄	—	2	4	no	—
619	C₂×C₄	—	2	1	no	—
620	C₂×C₄	—	2	1	no	—
621	C₂×C₄	—	2	4	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	4	16	no	—
624	C₂×C₄	—	4	4	no	—
625	C₂×C₄	—	4	4	no	—
626	C₂×C₄	—	8	4	no	—
627	C₂×C₄	—	8	8	no	—
628	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
629	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
630	C₂×C₄	C₁₁×H(5,𝔽₂)	1	4	yes	—
631	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
632	C₂²	—	2	8	no	—
633	C₂²	—	2	4	no	—
634	C₂²	—	2	8	no	—
635	C₂²	—	2	4	no	—
636	C₂²	—	2	2	no	—
637	C₂²	—	2	2	no	—
638	C₂²	—	2	8	no	—
639	C₂²	—	4	1	no	—
640	C₂²	—	4	1	no	—
641	C₂²	—	4	4	no	—
642	C₂²	—	4	4	no	—
643	C₂²	—	4	2	no	—
644	C₂²	—	4	4	no	—
645	C₂²	—	4	2	no	—
646	C₂²	—	4	1	no	—
647	C₂²	—	4	4	no	—
648	C₂²	—	4	1	no	—
649	C₂²	—	8	16	no	—
650	C₂²	C₂²×C₁₁×#41	1	2	yes	—
651	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
652	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
653	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	2	yes	—
654	C₂²	C₁₁×#585	1	1	yes	characteristic
655	C₄	—	2	2	no	—
656	C₄	—	2	4	no	—
657	C₄	—	4	1	no	—
658	C₄	—	4	1	no	—
659	C₄	—	4	4	no	—
660	C₄	—	4	2	no	—
661	C₄	—	4	2	no	—
662	C₄	—	4	4	no	—
663	C₄	—	4	4	no	—
664	C₄	—	4	2	no	—
665	C₄	—	4	1	no	—
666	C₄	C₁₁×#551	1	4	yes	—
667	C₂	—	4	2	no	—
668	C₂	—	4	8	no	—
669	C₂	—	4	2	no	—
670	C₂	C₂×C₁₁×#551	1	1	yes	characteristic
671	C₂	C₁₁×#3481	1	2	yes	—
672	C₂	C₁₁×#3505	1	1	yes	characteristic
673	C₂	C₁₁×#3513	1	2	yes	—
674	C₂	C₁₁×#3549	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₁₁×#2408	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#2782	C₂	semidirect
2. C₁₁×#2684	C₂	semidirect
3. C₁₁×#2598	C₂	semidirect
4. C₁₁×#2580	C₂	semidirect
5. C₁₁×#2572	C₂	semidirect
6. C₁₁×#2495	C₂	semidirect
7. C₁₁×#2487	C₂	semidirect
8. C₁₁×#2482	C₂	semidirect
9. C₁₁×#2420	C₂	semidirect
11. C₁₁×#2361	C₂	semidirect
12. C₁₁×#2358	C₂	semidirect
13. D₄×C₁₁×C₂²⋊C₄	C₂	semidirect
14. C₄×C₁₁×#124	C₂	semidirect
15. C₁₁×#2293	C₂	semidirect
20. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
24. C₂×C₄×D₄×C₁₁	C₂²	semidirect
25. C₂×C₁₁×#117	C₂²	semidirect
26. C₂²×C₁₁×C₄⋊C₄	C₂²	semidirect
28. C₁₁×#400	C₂²	semidirect
29. C₁₁×#400	C₂²	semidirect
31. C₁₁×#399	C₂²	semidirect
33. C₁₁×#397	C₂²	semidirect
35. C₁₁×#394	C₂²	semidirect
36. C₁₁×#393	C₂²	semidirect
38. C₁₁×#391	C₂²	semidirect
43. C₁₁×#389	C₂²	semidirect
44. C₁₁×#389	C₂²	semidirect
45. C₁₁×#389	C₂²	semidirect
48. C₁₁×#388	C₂²	semidirect
49. C₁₁×#388	C₂²	semidirect
50. C₁₁×#388	C₂²	semidirect
51. C₁₁×#388	C₂²	semidirect
55. C₁₁×#386	C₂²	semidirect
56. C₁₁×#386	C₂²	semidirect
57. C₁₁×#385	C₂²	semidirect
58. C₁₁×#385	C₂²	semidirect
59. C₁₁×#385	C₂²	semidirect
60. C₁₁×#385	C₂²	semidirect
61. C₁₁×#383	C₂²	semidirect
62. C₁₁×#382	C₂²	semidirect
63. C₁₁×#382	C₂²	semidirect
64. C₁₁×#381	C₂²	semidirect
67. C₁₁×#380	C₂²	semidirect
70. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
72. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
73. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
74. C₄³×C₁₁	C₂²	semidirect
147. #59945	C₁₁	direct (N × H)
230. #2782	C₂×C₁₁	semidirect
231. #2684	C₂×C₁₁	semidirect
232. #2598	C₂×C₁₁	semidirect
233. #2580	C₂×C₁₁	semidirect
234. #2572	C₂×C₁₁	semidirect
235. #2495	C₂×C₁₁	semidirect
236. #2487	C₂×C₁₁	semidirect
237. #2482	C₂×C₁₁	semidirect
238. #2420	C₂×C₁₁	semidirect
240. #2361	C₂×C₁₁	semidirect
241. #2358	C₂×C₁₁	semidirect
242. D₄×C₂²⋊C₄	C₂×C₁₁	semidirect
243. C₄×#124	C₂×C₁₁	semidirect
244. #2293	C₂×C₁₁	semidirect
314. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
318. C₂×C₄×D₄	C₂²×C₁₁	semidirect
319. C₂×#117	C₂²×C₁₁	semidirect
320. C₂²×C₄⋊C₄	C₂²×C₁₁	semidirect
322. #400	C₂²×C₁₁	semidirect
323. #400	C₂²×C₁₁	semidirect
325. #399	C₂²×C₁₁	semidirect
327. #397	C₂²×C₁₁	semidirect
329. #394	C₂²×C₁₁	semidirect
330. #393	C₂²×C₁₁	semidirect
332. #391	C₂²×C₁₁	semidirect
337. #389	C₂²×C₁₁	semidirect
338. #389	C₂²×C₁₁	semidirect
339. #389	C₂²×C₁₁	semidirect
342. #388	C₂²×C₁₁	semidirect
343. #388	C₂²×C₁₁	semidirect
344. #388	C₂²×C₁₁	semidirect
345. #388	C₂²×C₁₁	semidirect
349. #386	C₂²×C₁₁	semidirect
350. #386	C₂²×C₁₁	semidirect
351. #385	C₂²×C₁₁	semidirect
352. #385	C₂²×C₁₁	semidirect
353. #385	C₂²×C₁₁	semidirect
354. #385	C₂²×C₁₁	semidirect
355. #383	C₂²×C₁₁	semidirect
356. #382	C₂²×C₁₁	semidirect
357. #382	C₂²×C₁₁	semidirect
358. #381	C₂²×C₁₁	semidirect
361. #380	C₂²×C₁₁	semidirect
364. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
366. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
367. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
368. C₄³	C₂²×C₁₁	semidirect
566. C₁₁	#59945	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×#2782	2
C₁₁×#2684	2
C₁₁×#2598	2
C₁₁×#2580	2
C₁₁×#2572	2
C₁₁×#2495	2
C₁₁×#2487	2
C₁₁×#2482	2
C₁₁×#2420	2
C₁₁×#2408	2
C₁₁×#2361	2
C₁₁×#2358	2
D₄×C₁₁×C₂²⋊C₄	2
C₄×C₁₁×#124	2
C₁₁×#2293	2
#59945	11

Subgroups — C11×#59945 #14637138

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#59945 #14637138