Subgroups — C₁₁×#36564 #14613757

Order 2816.

1864 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2857	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2857	C₂	1	2	yes	maximal
3	C₁₁×#2586	C₂	1	4	yes	maximal, complemented
4	C₁₁×#2567	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#2551	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#2549	C₂	1	4	yes	maximal
7	C₁₁×#2507	C₂	1	2	yes	maximal, complemented
8	C₁₁×#2507	C₂	1	2	yes	maximal, complemented
9	C₁₁×#2451	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2440	C₂	1	2	yes	maximal
11	C₁₁×#2369	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#2369	C₂	1	2	yes	maximal, complemented
13	Q₈×C₁₁×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#2345	C₂	1	2	yes	maximal
15	C₄×C₁₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic
16	C₄×C₁₁×C₂²⋊Q₈	C₂	1	2	yes	maximal
17	C₂×C₄×C₁₁×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
18	C₂×C₁₁×C₄⋊Q₈	C₂²	1	2	yes	—
19	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
20	C₂×C₁₁×C₄⋊Q₈	C₂²	1	2	yes	—
21	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	4	yes	—
22	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
23	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
24	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
25	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	—
26	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
27	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
28	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
29	C₂²×C₄²×C₁₁	C₂²	1	2	yes	—
30	C₁₁×#398	C₂²	1	4	yes	—
31	C₁₁×#398	C₂²	1	4	yes	—
32	C₁₁×#398	C₂²	1	4	yes	—
33	C₁₁×#395	C₂²	1	4	yes	—
34	C₁₁×#395	C₂²	1	4	yes	—
35	C₁₁×#395	C₂²	1	4	yes	—
36	C₁₁×#391	C₂²	1	1	yes	characteristic
37	C₁₁×#391	C₂²	1	4	yes	—
38	C₁₁×#391	C₂²	1	2	yes	—
39	C₁₁×#391	C₂²	1	4	yes	—
40	C₁₁×#391	C₂²	1	2	yes	—
41	C₁₁×#391	C₂²	1	4	yes	—
42	C₁₁×#389	C₂²	1	2	yes	—
43	C₁₁×#389	C₂²	1	2	yes	—
44	C₁₁×#389	C₂²	1	2	yes	—
45	C₁₁×#389	C₂²	1	2	yes	—
46	C₁₁×#389	C₂²	1	1	yes	characteristic
47	C₁₁×#389	C₂²	1	4	yes	—
48	C₁₁×#389	C₂²	1	2	yes	—
49	C₁₁×#389	C₂²	1	2	yes	—
50	C₁₁×#389	C₂²	1	2	yes	—
51	C₁₁×#389	C₂²	1	4	yes	—
52	C₁₁×#389	C₂²	1	2	yes	—
53	C₁₁×#389	C₂²	1	2	yes	—
54	C₁₁×#389	C₂²	1	4	yes	—
55	C₁₁×#387	C₂²	1	4	yes	—
56	C₁₁×#387	C₂²	1	4	yes	—
57	C₁₁×#387	C₂²	1	4	yes	—
58	C₁₁×#387	C₂²	1	2	yes	—
59	C₁₁×#385	C₂²	1	4	yes	—
60	C₁₁×#385	C₂²	1	2	yes	—
61	C₁₁×#384	C₂²	1	2	yes	—
62	C₁₁×#384	C₂²	1	2	yes	—
63	C₁₁×#384	C₂²	1	1	yes	characteristic
64	C₁₁×#380	C₂²	1	2	yes	—
65	C₁₁×#380	C₂²	1	4	yes	—
66	C₁₁×#380	C₂²	1	2	yes	—
67	C₁₁×#380	C₂²	1	1	yes	characteristic
68	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
69	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
70	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
71	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
72	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
73	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
74	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
75	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
76	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
77	C₄×C₁₁×C₄⋊C₄	C₂²	1	4	yes	—
78	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
79	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
80	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
81	C₄×C₁₁×C₂²⋊C₄	C₂²	1	4	yes	—
82	C₂×C₁₁×#95	C₂²	1	2	yes	—
83	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
84	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
85	C₂²×Q₈×C₁₁	C₂³	1	4	yes	—
86	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
87	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
88	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
89	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
90	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
91	C₁₁×C₄⋊Q₈	—	2	8	no	—
92	C₁₁×C₄⋊Q₈	—	2	4	no	—
93	C₁₁×C₄⋊Q₈	—	4	4	no	—
94	C₁₁×C₂²⋊Q₈	—	4	8	no	—
95	C₁₁×C₂²⋊Q₈	—	4	4	no	—
96	C₁₁×C₂²⋊Q₈	Q₈	1	8	yes	complemented
97	C₄×Q₈×C₁₁	—	2	4	no	—
98	C₄×Q₈×C₁₁	—	4	4	no	—
99	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
100	C₂×C₁₁×C₄⋊C₄	Q₈	1	8	yes	complemented
101	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
102	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
103	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
104	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
105	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
106	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
107	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
108	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
109	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
110	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
111	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
112	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
113	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
114	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
115	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
116	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
117	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
118	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
119	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
120	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
121	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
122	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
123	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
124	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
125	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
126	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
127	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
128	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
129	C₂×C₄²×C₁₁	—	2	4	no	—
130	C₂×C₄²×C₁₁	—	4	4	no	—
131	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
132	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
133	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
134	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
135	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
136	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
137	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
138	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
139	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
140	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
141	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
142	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
143	C₁₁×#95	C₂³	1	2	yes	—
144	C₁₁×#95	C₂³	1	2	yes	—
145	C₁₁×#95	C₂³	1	2	yes	—
146	C₁₁×#95	C₂³	1	2	yes	—
147	C₁₁×#95	C₂³	1	2	yes	—
148	C₁₁×#95	C₂³	1	2	yes	—
149	C₁₁×#95	C₂³	1	4	yes	—
150	C₁₁×#95	C₂³	1	4	yes	—
151	C₁₁×#95	C₂³	1	4	yes	—
152	C₁₁×#95	C₂³	1	4	yes	—
153	C₁₁×#95	C₂³	1	2	yes	—
154	C₁₁×#95	C₂³	1	4	yes	—
155	C₁₁×#95	C₂³	1	4	yes	—
156	C₁₁×#95	C₂³	1	2	yes	—
157	C₁₁×#95	C₂³	1	4	yes	—
158	C₁₁×#95	C₂³	1	2	yes	—
159	C₁₁×#95	C₂³	1	4	yes	—
160	#36564	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
161	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
162	C₂×Q₈×C₁₁	—	2	2	no	—
163	C₂×Q₈×C₁₁	—	2	8	no	—
164	C₂×Q₈×C₁₁	—	2	4	no	—
165	C₂×Q₈×C₁₁	—	2	2	no	—
166	C₂×Q₈×C₁₁	—	4	2	no	—
167	C₂×Q₈×C₁₁	—	4	4	no	—
168	C₂×Q₈×C₁₁	—	4	4	no	—
169	C₂×Q₈×C₁₁	—	4	2	no	—
170	C₂×Q₈×C₁₁	C₂×Q₈	1	4	yes	—
171	C₂²×C₄×C₁₁	—	2	2	no	—
172	C₂²×C₄×C₁₁	—	2	2	no	—
173	C₂²×C₄×C₁₁	—	2	2	no	—
174	C₂²×C₄×C₁₁	—	2	2	no	—
175	C₂²×C₄×C₁₁	—	2	2	no	—
176	C₂²×C₄×C₁₁	—	2	4	no	—
177	C₂²×C₄×C₁₁	—	2	2	no	—
178	C₂²×C₄×C₁₁	—	2	4	no	—
179	C₂²×C₄×C₁₁	—	4	2	no	—
180	C₂²×C₄×C₁₁	—	4	2	no	—
181	C₂²×C₄×C₁₁	—	4	2	no	—
182	C₂²×C₄×C₁₁	—	4	1	no	—
183	C₂²×C₄×C₁₁	C₂×Q₈	1	4	yes	—
184	C₂²×C₄×C₁₁	C₂×Q₈	1	4	yes	—
185	C₂²×C₄×C₁₁	C₂×Q₈	1	8	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	2	yes	—
190	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
191	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
192	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
193	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
194	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
195	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
196	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
197	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
198	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
199	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
200	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
201	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
202	C₁₁×C₄⋊C₄	—	2	4	no	—
203	C₁₁×C₄⋊C₄	—	2	2	no	—
204	C₁₁×C₄⋊C₄	—	2	4	no	—
205	C₁₁×C₄⋊C₄	—	2	2	no	—
206	C₁₁×C₄⋊C₄	—	2	8	no	—
207	C₁₁×C₄⋊C₄	—	2	4	no	—
208	C₁₁×C₄⋊C₄	—	2	4	no	—
209	C₁₁×C₄⋊C₄	—	2	4	no	—
210	C₁₁×C₄⋊C₄	—	2	4	no	—
211	C₁₁×C₄⋊C₄	—	2	2	no	—
212	C₁₁×C₄⋊C₄	—	4	2	no	—
213	C₁₁×C₄⋊C₄	—	4	4	no	—
214	C₁₁×C₄⋊C₄	—	4	4	no	—
215	C₁₁×C₄⋊C₄	—	4	4	no	—
216	C₁₁×C₄⋊C₄	—	4	2	no	—
217	C₁₁×C₄⋊C₄	—	4	4	no	—
218	C₁₁×C₄⋊C₄	—	4	4	no	—
219	C₁₁×C₄⋊C₄	—	4	4	no	—
220	C₁₁×C₄⋊C₄	—	4	4	no	—
221	C₁₁×C₄⋊C₄	C₂×Q₈	1	8	yes	—
222	C₁₁×C₄⋊C₄	C₂×Q₈	1	4	yes	—
223	C₁₁×C₄⋊C₄	C₂×Q₈	1	4	yes	—
224	C₁₁×C₄⋊C₄	C₂×Q₈	1	4	yes	—
225	C₁₁×C₄⋊C₄	C₂×Q₈	1	8	yes	—
226	C₁₁×C₄⋊C₄	#41	1	4	yes	—
227	C₁₁×C₂²⋊C₄	—	2	4	no	—
228	C₁₁×C₂²⋊C₄	—	2	8	no	—
229	C₁₁×C₂²⋊C₄	C₂×Q₈	1	8	yes	—
230	C₄²×C₁₁	—	2	2	no	—
231	C₄²×C₁₁	—	2	2	no	—
232	C₄²×C₁₁	—	2	2	no	—
233	C₄²×C₁₁	—	2	4	no	—
234	C₄²×C₁₁	—	2	4	no	—
235	C₄²×C₁₁	—	2	4	no	—
236	C₄²×C₁₁	—	2	4	no	—
237	C₄²×C₁₁	—	4	2	no	—
238	C₄²×C₁₁	—	4	2	no	—
239	C₄²×C₁₁	—	4	4	no	—
240	C₄²×C₁₁	—	4	4	no	—
241	C₄²×C₁₁	#41	1	4	yes	—
242	#2857	C₂×C₁₁	1	2	yes	—
243	#2857	C₂×C₁₁	1	1	yes	characteristic
244	#2586	C₂×C₁₁	1	4	yes	complemented
245	#2567	C₂×C₁₁	1	1	yes	characteristic, complemented
246	#2551	C₂×C₁₁	1	1	yes	characteristic, complemented
247	#2549	C₂×C₁₁	1	4	yes	—
248	#2507	C₂×C₁₁	1	2	yes	complemented
249	#2507	C₂×C₁₁	1	2	yes	complemented
250	#2451	C₂×C₁₁	1	2	yes	complemented
251	#2440	C₂×C₁₁	1	2	yes	—
252	#2369	C₂×C₁₁	1	1	yes	characteristic, complemented
253	#2369	C₂×C₁₁	1	2	yes	complemented
254	Q₈×C₄⋊C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
255	#2345	C₂×C₁₁	1	2	yes	—
256	C₄×C₂²⋊Q₈	C₂×C₁₁	1	1	yes	characteristic
257	C₄×C₂²⋊Q₈	C₂×C₁₁	1	2	yes	—
258	C₂×C₄×C₄⋊C₄	C₂×C₁₁	1	1	yes	characteristic
259	C₂³×C₁₁	—	2	1	no	—
260	C₂³×C₁₁	—	2	1	no	—
261	C₂³×C₁₁	—	2	1	no	—
262	C₂³×C₁₁	—	2	1	no	—
263	C₂³×C₁₁	C₂²×Q₈	1	2	yes	—
264	C₂³×C₁₁	C₂²×Q₈	1	2	yes	—
265	C₂³×C₁₁	H(5,𝔽₂)	1	2	yes	—
266	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
267	Q₈×C₁₁	—	2	8	no	—
268	Q₈×C₁₁	—	8	4	no	—
269	Q₈×C₁₁	—	8	8	no	—
270	C₂×C₄×C₁₁	—	2	1	no	—
271	C₂×C₄×C₁₁	—	2	1	no	—
272	C₂×C₄×C₁₁	—	2	2	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	2	no	—
277	C₂×C₄×C₁₁	—	2	2	no	—
278	C₂×C₄×C₁₁	—	2	1	no	—
279	C₂×C₄×C₁₁	—	2	2	no	—
280	C₂×C₄×C₁₁	—	2	1	no	—
281	C₂×C₄×C₁₁	—	2	2	no	—
282	C₂×C₄×C₁₁	—	2	2	no	—
283	C₂×C₄×C₁₁	—	2	2	no	—
284	C₂×C₄×C₁₁	—	2	2	no	—
285	C₂×C₄×C₁₁	—	2	1	no	—
286	C₂×C₄×C₁₁	—	2	8	no	—
287	C₂×C₄×C₁₁	—	2	8	no	—
288	C₂×C₄×C₁₁	—	2	1	no	—
289	C₂×C₄×C₁₁	—	2	2	no	—
290	C₂×C₄×C₁₁	—	2	2	no	—
291	C₂×C₄×C₁₁	—	2	2	no	—
292	C₂×C₄×C₁₁	—	2	4	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	2	no	—
297	C₂×C₄×C₁₁	—	2	4	no	—
298	C₂×C₄×C₁₁	—	2	4	no	—
299	C₂×C₄×C₁₁	—	2	2	no	—
300	C₂×C₄×C₁₁	—	2	2	no	—
301	C₂×C₄×C₁₁	—	2	1	no	—
302	C₂×C₄×C₁₁	—	2	2	no	—
303	C₂×C₄×C₁₁	—	2	4	no	—
304	C₂×C₄×C₁₁	—	2	2	no	—
305	C₂×C₄×C₁₁	—	2	1	no	—
306	C₂×C₄×C₁₁	—	4	8	no	—
307	C₂×C₄×C₁₁	—	4	4	no	—
308	C₂×C₄×C₁₁	—	4	8	no	—
309	C₂×C₄×C₁₁	C₂²×Q₈	1	4	yes	—
310	C₂×C₄×C₁₁	C₂²×Q₈	1	4	yes	—
311	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
312	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
313	C₂×C₄×C₁₁	C₂²×Q₈	1	4	yes	—
314	C₂×C₄×C₁₁	C₂²×Q₈	1	4	yes	—
315	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
316	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
317	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
318	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
319	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
320	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
321	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
322	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
323	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
324	C₂×C₄⋊Q₈	C₂²×C₁₁	1	2	yes	—
325	C₂×C₄⋊Q₈	C₂²×C₁₁	1	2	yes	—
326	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	4	yes	—
327	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
328	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
329	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
330	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	—
331	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
332	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
333	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
334	C₂²×C₄²	C₂²×C₁₁	1	2	yes	—
335	#398	C₂²×C₁₁	1	4	yes	—
336	#398	C₂²×C₁₁	1	4	yes	—
337	#398	C₂²×C₁₁	1	4	yes	—
338	#395	C₂²×C₁₁	1	4	yes	—
339	#395	C₂²×C₁₁	1	4	yes	—
340	#395	C₂²×C₁₁	1	4	yes	—
341	#391	C₂²×C₁₁	1	2	yes	—
342	#391	C₂²×C₁₁	1	2	yes	—
343	#391	C₂²×C₁₁	1	4	yes	—
344	#391	C₂²×C₁₁	1	4	yes	—
345	#391	C₂²×C₁₁	1	4	yes	—
346	#391	C₂²×C₁₁	1	1	yes	characteristic
347	#389	C₂²×C₁₁	1	2	yes	—
348	#389	C₂²×C₁₁	1	2	yes	—
349	#389	C₂²×C₁₁	1	4	yes	—
350	#389	C₂²×C₁₁	1	4	yes	—
351	#389	C₂²×C₁₁	1	2	yes	—
352	#389	C₂²×C₁₁	1	2	yes	—
353	#389	C₂²×C₁₁	1	2	yes	—
354	#389	C₂²×C₁₁	1	2	yes	—
355	#389	C₂²×C₁₁	1	2	yes	—
356	#389	C₂²×C₁₁	1	2	yes	—
357	#389	C₂²×C₁₁	1	4	yes	—
358	#389	C₂²×C₁₁	1	1	yes	characteristic
359	#389	C₂²×C₁₁	1	2	yes	—
360	#387	C₂²×C₁₁	1	2	yes	—
361	#387	C₂²×C₁₁	1	4	yes	—
362	#387	C₂²×C₁₁	1	4	yes	—
363	#387	C₂²×C₁₁	1	4	yes	—
364	#385	C₂²×C₁₁	1	4	yes	—
365	#385	C₂²×C₁₁	1	2	yes	—
366	#384	C₂²×C₁₁	1	2	yes	—
367	#384	C₂²×C₁₁	1	1	yes	characteristic
368	#384	C₂²×C₁₁	1	2	yes	—
369	#380	C₂²×C₁₁	1	2	yes	—
370	#380	C₂²×C₁₁	1	4	yes	—
371	#380	C₂²×C₁₁	1	2	yes	—
372	#380	C₂²×C₁₁	1	1	yes	characteristic
373	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
374	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
375	C₄×C₄⋊C₄	C₂²×C₁₁	1	4	yes	—
376	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
377	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
378	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
379	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
380	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
381	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
382	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
383	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
384	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
385	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
386	C₄×C₂²⋊C₄	C₂²×C₁₁	1	4	yes	—
387	C₂×#95	C₂²×C₁₁	1	2	yes	—
388	C₂²×C₁₁	—	2	2	no	—
389	C₂²×C₁₁	—	2	2	no	—
390	C₂²×C₁₁	—	2	2	no	—
391	C₂²×C₁₁	—	2	2	no	—
392	C₂²×C₁₁	—	2	2	no	—
393	C₂²×C₁₁	—	2	2	no	—
394	C₂²×C₁₁	Q₈²	1	4	yes	—
395	C₂²×C₁₁	C₂³×Q₈	1	1	yes	characteristic
396	C₂²×C₁₁	C₂³×Q₈	1	1	yes	characteristic
397	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
398	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
399	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
400	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
401	C₂²×C₁₁	#585	1	1	yes	characteristic
402	C₄×C₁₁	—	2	2	no	—
403	C₄×C₁₁	—	2	2	no	—
404	C₄×C₁₁	—	2	4	no	—
405	C₄×C₁₁	—	2	4	no	—
406	C₄×C₁₁	—	2	2	no	—
407	C₄×C₁₁	—	2	4	no	—
408	C₄×C₁₁	—	2	4	no	—
409	C₄×C₁₁	—	2	4	no	—
410	C₄×C₁₁	—	4	2	no	—
411	C₄×C₁₁	—	4	1	no	—
412	C₄×C₁₁	—	4	4	no	—
413	C₄×C₁₁	—	4	2	no	—
414	C₄×C₁₁	—	4	4	no	—
415	C₄×C₁₁	—	4	2	no	—
416	C₄×C₁₁	#533	1	4	yes	—
417	C₄×C₁₁	#554	1	4	yes	—
418	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
419	C₂²×Q₈	C₂³×C₁₁	1	4	yes	—
420	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
421	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
422	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
423	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
424	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
425	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
426	C₄⋊Q₈	—	2	8	no	—
427	C₄⋊Q₈	—	2	4	no	—
428	C₄⋊Q₈	—	4	4	no	—
429	C₂²⋊Q₈	—	4	8	no	—
430	C₂²⋊Q₈	—	4	4	no	—
431	C₂²⋊Q₈	Q₈×C₁₁	1	8	yes	complemented
432	C₄×Q₈	—	2	4	no	—
433	C₄×Q₈	—	4	4	no	—
434	C₂×C₄⋊C₄	—	2	4	no	—
435	C₂×C₄⋊C₄	Q₈×C₁₁	1	8	yes	complemented
436	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
437	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
438	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
439	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
440	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
441	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
442	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
443	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
444	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
445	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
446	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
447	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
448	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
449	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
450	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
451	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
452	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
453	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
454	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
455	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
456	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
457	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
458	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
459	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
460	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
461	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
462	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
463	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
464	C₂×C₄²	—	2	4	no	—
465	C₂×C₄²	—	4	4	no	—
466	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
467	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
468	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
469	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
470	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
471	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
472	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
473	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
474	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
475	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
476	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
477	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
478	#95	C₂³×C₁₁	1	2	yes	—
479	#95	C₂³×C₁₁	1	2	yes	—
480	#95	C₂³×C₁₁	1	2	yes	—
481	#95	C₂³×C₁₁	1	2	yes	—
482	#95	C₂³×C₁₁	1	2	yes	—
483	#95	C₂³×C₁₁	1	2	yes	—
484	#95	C₂³×C₁₁	1	4	yes	—
485	#95	C₂³×C₁₁	1	4	yes	—
486	#95	C₂³×C₁₁	1	4	yes	—
487	#95	C₂³×C₁₁	1	4	yes	—
488	#95	C₂³×C₁₁	1	2	yes	—
489	#95	C₂³×C₁₁	1	4	yes	—
490	#95	C₂³×C₁₁	1	4	yes	—
491	#95	C₂³×C₁₁	1	2	yes	—
492	#95	C₂³×C₁₁	1	4	yes	—
493	#95	C₂³×C₁₁	1	2	yes	—
494	#95	C₂³×C₁₁	1	4	yes	—
495	C₂×C₁₁	—	2	4	no	—
496	C₂×C₁₁	C₂×#533	1	1	yes	characteristic
497	C₂×C₁₁	C₂×#554	1	1	yes	characteristic
498	C₂×C₁₁	C₂×Q₈²	1	1	yes	characteristic
499	C₂×C₁₁	Q₈×#41	1	1	yes	characteristic
500	C₂×C₁₁	#3494	1	1	yes	characteristic
501	C₂×C₁₁	#3501	1	1	yes	characteristic
502	C₂×C₁₁	#3519	1	1	yes	characteristic
503	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
504	C₂×Q₈	—	2	2	no	—
505	C₂×Q₈	—	2	8	no	—
506	C₂×Q₈	—	2	4	no	—
507	C₂×Q₈	—	2	2	no	—
508	C₂×Q₈	—	4	2	no	—
509	C₂×Q₈	—	4	4	no	—
510	C₂×Q₈	—	4	4	no	—
511	C₂×Q₈	—	4	2	no	—
512	C₂×Q₈	C₂×Q₈×C₁₁	1	4	yes	—
513	C₂²×C₄	—	2	2	no	—
514	C₂²×C₄	—	2	2	no	—
515	C₂²×C₄	—	2	2	no	—
516	C₂²×C₄	—	2	2	no	—
517	C₂²×C₄	—	2	4	no	—
518	C₂²×C₄	—	2	2	no	—
519	C₂²×C₄	—	2	2	no	—
520	C₂²×C₄	—	2	4	no	—
521	C₂²×C₄	—	4	2	no	—
522	C₂²×C₄	—	4	2	no	—
523	C₂²×C₄	—	4	2	no	—
524	C₂²×C₄	—	4	1	no	—
525	C₂²×C₄	C₂×Q₈×C₁₁	1	4	yes	—
526	C₂²×C₄	C₂×Q₈×C₁₁	1	4	yes	—
527	C₂²×C₄	C₂×Q₈×C₁₁	1	8	yes	—
528	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
529	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
530	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
531	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
532	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
533	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
534	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
535	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
536	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
537	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
538	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
539	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
540	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
541	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
542	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
543	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
544	C₄⋊C₄	—	2	4	no	—
545	C₄⋊C₄	—	2	2	no	—
546	C₄⋊C₄	—	2	4	no	—
547	C₄⋊C₄	—	2	2	no	—
548	C₄⋊C₄	—	2	8	no	—
549	C₄⋊C₄	—	2	4	no	—
550	C₄⋊C₄	—	2	4	no	—
551	C₄⋊C₄	—	2	4	no	—
552	C₄⋊C₄	—	2	4	no	—
553	C₄⋊C₄	—	2	2	no	—
554	C₄⋊C₄	—	4	4	no	—
555	C₄⋊C₄	—	4	4	no	—
556	C₄⋊C₄	—	4	2	no	—
557	C₄⋊C₄	—	4	4	no	—
558	C₄⋊C₄	—	4	4	no	—
559	C₄⋊C₄	—	4	4	no	—
560	C₄⋊C₄	—	4	4	no	—
561	C₄⋊C₄	—	4	2	no	—
562	C₄⋊C₄	—	4	4	no	—
563	C₄⋊C₄	C₂×Q₈×C₁₁	1	8	yes	—
564	C₄⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
565	C₄⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
566	C₄⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
567	C₄⋊C₄	C₂×Q₈×C₁₁	1	8	yes	—
568	C₄⋊C₄	C₁₁×#41	1	4	yes	—
569	C₂²⋊C₄	—	2	4	no	—
570	C₂²⋊C₄	—	2	8	no	—
571	C₂²⋊C₄	C₂×Q₈×C₁₁	1	8	yes	—
572	C₄²	—	2	2	no	—
573	C₄²	—	2	2	no	—
574	C₄²	—	2	2	no	—
575	C₄²	—	2	4	no	—
576	C₄²	—	2	4	no	—
577	C₄²	—	2	4	no	—
578	C₄²	—	2	4	no	—
579	C₄²	—	4	2	no	—
580	C₄²	—	4	2	no	—
581	C₄²	—	4	4	no	—
582	C₄²	—	4	4	no	—
583	C₄²	C₁₁×#41	1	4	yes	—
584	C₁₁	#36564	1	1	yes	characteristic, direct product factor, Sylow
585	C₂³	—	2	1	no	—
586	C₂³	—	2	1	no	—
587	C₂³	—	2	1	no	—
588	C₂³	—	2	1	no	—
589	C₂³	C₂²×Q₈×C₁₁	1	2	yes	—
590	C₂³	C₂²×Q₈×C₁₁	1	2	yes	—
591	C₂³	C₁₁×H(5,𝔽₂)	1	2	yes	—
592	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
593	Q₈	—	2	8	no	—
594	Q₈	—	8	4	no	—
595	Q₈	—	8	8	no	—
596	C₂×C₄	—	2	1	no	—
597	C₂×C₄	—	2	1	no	—
598	C₂×C₄	—	2	2	no	—
599	C₂×C₄	—	2	2	no	—
600	C₂×C₄	—	2	1	no	—
601	C₂×C₄	—	2	2	no	—
602	C₂×C₄	—	2	2	no	—
603	C₂×C₄	—	2	2	no	—
604	C₂×C₄	—	2	1	no	—
605	C₂×C₄	—	2	2	no	—
606	C₂×C₄	—	2	1	no	—
607	C₂×C₄	—	2	2	no	—
608	C₂×C₄	—	2	2	no	—
609	C₂×C₄	—	2	2	no	—
610	C₂×C₄	—	2	2	no	—
611	C₂×C₄	—	2	1	no	—
612	C₂×C₄	—	2	8	no	—
613	C₂×C₄	—	2	8	no	—
614	C₂×C₄	—	2	1	no	—
615	C₂×C₄	—	2	2	no	—
616	C₂×C₄	—	2	2	no	—
617	C₂×C₄	—	2	2	no	—
618	C₂×C₄	—	2	4	no	—
619	C₂×C₄	—	2	4	no	—
620	C₂×C₄	—	2	2	no	—
621	C₂×C₄	—	2	4	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	2	4	no	—
624	C₂×C₄	—	2	4	no	—
625	C₂×C₄	—	2	2	no	—
626	C₂×C₄	—	2	2	no	—
627	C₂×C₄	—	2	1	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	4	no	—
630	C₂×C₄	—	2	2	no	—
631	C₂×C₄	—	2	1	no	—
632	C₂×C₄	—	4	8	no	—
633	C₂×C₄	—	4	4	no	—
634	C₂×C₄	—	4	8	no	—
635	C₂×C₄	C₂²×Q₈×C₁₁	1	4	yes	—
636	C₂×C₄	C₂²×Q₈×C₁₁	1	4	yes	—
637	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
638	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
639	C₂×C₄	C₂²×Q₈×C₁₁	1	4	yes	—
640	C₂×C₄	C₂²×Q₈×C₁₁	1	4	yes	—
641	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
642	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
643	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
644	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
645	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
646	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
647	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
648	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
649	C₂²	—	2	2	no	—
650	C₂²	—	2	2	no	—
651	C₂²	—	2	2	no	—
652	C₂²	—	2	2	no	—
653	C₂²	—	2	2	no	—
654	C₂²	—	2	2	no	—
655	C₂²	Q₈²×C₁₁	1	4	yes	—
656	C₂²	C₂³×Q₈×C₁₁	1	1	yes	characteristic
657	C₂²	C₂³×Q₈×C₁₁	1	1	yes	characteristic
658	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
659	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
660	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
661	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
662	C₂²	C₁₁×#585	1	1	yes	characteristic
663	C₄	—	2	2	no	—
664	C₄	—	2	2	no	—
665	C₄	—	2	4	no	—
666	C₄	—	2	4	no	—
667	C₄	—	2	2	no	—
668	C₄	—	2	4	no	—
669	C₄	—	2	4	no	—
670	C₄	—	2	4	no	—
671	C₄	—	4	1	no	—
672	C₄	—	4	4	no	—
673	C₄	—	4	2	no	—
674	C₄	—	4	2	no	—
675	C₄	—	4	2	no	—
676	C₄	—	4	4	no	—
677	C₄	C₁₁×#533	1	4	yes	—
678	C₄	C₁₁×#554	1	4	yes	—
679	C₂	—	2	4	no	—
680	C₂	C₂×C₁₁×#533	1	1	yes	characteristic
681	C₂	C₂×C₁₁×#554	1	1	yes	characteristic
682	C₂	C₂×Q₈²×C₁₁	1	1	yes	characteristic
683	C₂	Q₈×C₁₁×#41	1	1	yes	characteristic
684	C₂	C₁₁×#3494	1	1	yes	characteristic
685	C₂	C₁₁×#3501	1	1	yes	characteristic
686	C₂	C₁₁×#3519	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂⁴×C₁₁	C₂⁴
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
3. C₁₁×#2586	C₂	semidirect
4. C₁₁×#2567	C₂	semidirect
5. C₁₁×#2551	C₂	semidirect
7. C₁₁×#2507	C₂	semidirect
8. C₁₁×#2507	C₂	semidirect
9. C₁₁×#2451	C₂	semidirect
11. C₁₁×#2369	C₂	semidirect
12. C₁₁×#2369	C₂	semidirect
13. Q₈×C₁₁×C₄⋊C₄	C₂	semidirect
96. C₁₁×C₂²⋊Q₈	Q₈	semidirect
100. C₂×C₁₁×C₄⋊C₄	Q₈	semidirect
160. #36564	C₁₁	direct (N × H)
244. #2586	C₂×C₁₁	semidirect
245. #2567	C₂×C₁₁	semidirect
246. #2551	C₂×C₁₁	semidirect
248. #2507	C₂×C₁₁	semidirect
249. #2507	C₂×C₁₁	semidirect
250. #2451	C₂×C₁₁	semidirect
252. #2369	C₂×C₁₁	semidirect
253. #2369	C₂×C₁₁	semidirect
254. Q₈×C₄⋊C₄	C₂×C₁₁	semidirect
431. C₂²⋊Q₈	Q₈×C₁₁	semidirect
435. C₂×C₄⋊C₄	Q₈×C₁₁	semidirect
584. C₁₁	#36564	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×#2857	2
C₁₁×#2586	2
C₁₁×#2567	2
C₁₁×#2551	2
C₁₁×#2549	2
C₁₁×#2507	2
C₁₁×#2451	2
C₁₁×#2440	2
C₁₁×#2369	2
Q₈×C₁₁×C₄⋊C₄	2
C₁₁×#2345	2
C₄×C₁₁×C₂²⋊Q₈	2
C₂×C₄×C₁₁×C₄⋊C₄	2
#36564	11

Subgroups — C11×#36564 #14613757

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#36564 #14613757