Subgroups — C₁₁×#60710 #14637903

Order 2816.

1966 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3494	C₂	1	2	yes	maximal, complemented
2	C₁₁×#3184	C₂	1	2	yes	maximal, complemented
3	C₁₁×#3183	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3179	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3176	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3173	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3171	C₂	1	4	yes	maximal, complemented
8	C₁₁×#3163	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#3155	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3136	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3055	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3054	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₁₁×#469	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#2952	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2948	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2946	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2873	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	—
19	C₂×C₁₁×#135	C₂²	1	1	yes	characteristic
20	C₂²×C₁₁×D₈	C₂²	1	1	yes	characteristic
21	C₂²×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
22	C₂²×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
23	C₁₁×#555	—	2	2	no	—
24	C₁₁×#553	—	2	2	no	—
25	C₁₁×#553	—	2	2	no	—
26	C₁₁×#551	—	2	4	no	—
27	C₁₁×#547	—	2	2	no	—
28	C₁₁×#546	—	2	4	no	—
29	C₁₁×#544	C₂²	1	2	yes	—
30	C₁₁×#542	C₂²	1	4	yes	complemented
31	C₁₁×#540	C₂²	1	4	yes	complemented
32	C₁₁×#535	C₂²	1	2	yes	—
33	C₁₁×#532	C₂²	1	4	yes	complemented
34	C₁₁×#529	C₂²	1	4	yes	complemented
35	C₁₁×#525	C₂²	1	2	yes	—
36	C₂×C₁₁×#121	C₂²	1	2	yes	—
37	C₁₁×#520	C₂²	1	2	yes	—
38	C₁₁×#518	C₂²	1	2	yes	—
39	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
40	C₁₁×#501	C₂²	1	4	yes	complemented
41	C₁₁×#499	C₂²	1	2	yes	complemented
42	C₁₁×#498	C₂²	1	2	yes	complemented
43	C₁₁×#496	C₂²	1	4	yes	complemented
44	C₁₁×#495	C₂²	1	2	yes	complemented
45	C₁₁×#493	C₂²	1	2	yes	complemented
46	C₁₁×#490	C₂²	1	4	yes	complemented
47	C₁₁×#489	C₂²	1	4	yes	complemented
48	C₁₁×#488	C₂²	1	4	yes	complemented
49	C₁₁×#486	C₂²	1	4	yes	complemented
50	C₁₁×#470	C₂²	1	1	yes	characteristic, complemented
51	C₁₁×#470	C₂²	1	1	yes	characteristic, complemented
52	C₁₁×#469	C₂²	1	2	yes	—
53	C₁₁×#469	C₂²	1	2	yes	—
54	C₁₁×#469	C₂²	1	2	yes	—
55	C₁₁×#469	C₂²	1	2	yes	—
56	C₁₁×#469	C₂²	1	4	yes	complemented
57	C₁₁×#469	C₂²	1	1	yes	characteristic, complemented
58	C₁₁×#469	C₂²	1	1	yes	characteristic, complemented
59	C₁₁×#468	C₂²	1	2	yes	complemented
60	C₁₁×#468	C₂²	1	4	yes	complemented
61	C₁₁×#468	C₂²	1	2	yes	complemented
62	C₁₁×#466	C₂²	1	4	yes	complemented
63	C₁₁×#465	C₂²	1	4	yes	complemented
64	C₁₁×#442	C₂²	1	2	yes	complemented
65	C₁₁×#442	C₂²	1	2	yes	complemented
66	C₁₁×#442	C₂²	1	2	yes	complemented
67	C₁₁×#442	C₂²	1	4	yes	complemented
68	C₁₁×#441	C₂²	1	2	yes	complemented
69	C₁₁×#440	C₂²	1	4	yes	complemented
70	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
71	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
72	C₄×C₁₁×D₈	C₂²	1	4	yes	complemented
73	C₄×C₁₁×D₈	C₂²	1	4	yes	complemented
74	C₁₁×#428	C₂²	1	2	yes	—
75	C₁₁×#427	C₂²	1	1	yes	characteristic
76	C₂×C₁₁×#106	C₂²	1	1	yes	characteristic
77	C₁₁×#418	C₂²	1	2	yes	—
78	C₁₁×#417	C₂²	1	2	yes	—
79	C₁₁×#416	C₂²	1	2	yes	—
80	C₂×C₁₁×#102	C₂²	1	2	yes	—
81	C₁₁×#405	C₂²	1	1	yes	characteristic
82	C₁₁×#405	C₂²	1	1	yes	characteristic
83	C₁₁×#405	C₂²	1	1	yes	characteristic
84	C₁₁×#405	C₂²	1	1	yes	characteristic
85	C₁₁×#405	C₂²	1	2	yes	complemented
86	C₁₁×#405	C₂²	1	2	yes	complemented
87	C₄×C₁₁×M₁₆	C₂²	1	2	yes	complemented
88	C₄×C₁₁×M₁₆	C₂²	1	2	yes	complemented
89	C₂×C₁₁×#41	—	2	4	no	—
90	C₂×C₁₁×#41	C₂³	1	2	yes	—
91	C₂²×D₄×C₁₁	—	2	2	no	—
92	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
93	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
94	C₁₁×AGL(1,ℤ/8)	—	2	8	no	—
95	C₁₁×#135	—	2	4	no	—
96	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
97	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
98	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
99	C₂×C₁₁×D₈	—	2	4	no	—
100	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
101	C₂×C₁₁×D₈	C₂³	1	2	yes	—
102	C₂×C₁₁×D₈	C₂³	1	4	yes	—
103	C₂×C₁₁×D₈	C₂³	1	2	yes	—
104	C₂×C₁₁×M₁₆	—	2	4	no	—
105	C₂×C₁₁×M₁₆	—	2	4	no	—
106	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
107	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
108	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
109	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
110	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
111	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
112	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
113	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
114	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
115	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
116	C₁₁×C₄⋊Q₈	—	2	2	no	—
117	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
118	C₁₁×#127	C₂³	1	4	yes	—
119	C₁₁×#126	—	2	4	no	—
120	C₁₁×#126	—	2	4	no	—
121	C₁₁×#125	—	2	2	no	—
122	C₁₁×#125	C₂³	1	4	yes	—
123	C₁₁×#124	—	2	4	no	—
124	C₁₁×#124	—	2	4	no	—
125	C₁₁×#124	C₂³	1	4	yes	—
126	C₁₁×#123	—	2	2	no	—
127	C₁₁×#123	—	2	4	no	—
128	C₁₁×#123	—	2	4	no	—
129	C₁₁×#123	—	2	4	no	—
130	C₁₁×#123	—	2	4	no	—
131	C₁₁×C₂²⋊Q₈	—	2	4	no	—
132	C₁₁×C₂²⋊Q₈	—	2	4	no	—
133	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
134	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
135	C₁₁×#121	—	2	2	no	—
136	C₁₁×#121	—	2	2	no	—
137	C₁₁×#121	—	2	4	no	—
138	C₁₁×#121	—	2	2	no	—
139	C₁₁×#121	—	2	2	no	—
140	C₁₁×#121	—	2	4	no	—
141	C₁₁×#121	—	2	4	no	—
142	C₁₁×#121	C₂³	1	4	yes	—
143	C₁₁×#121	C₂³	1	4	yes	—
144	C₁₁×#121	C₂³	1	2	yes	—
145	C₁₁×#121	C₂³	1	2	yes	—
146	C₁₁×#120	—	2	2	no	—
147	C₁₁×#120	—	2	4	no	—
148	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
149	C₄×D₄×C₁₁	—	2	2	no	—
150	C₄×D₄×C₁₁	—	2	2	no	—
151	C₄×D₄×C₁₁	—	2	4	no	—
152	C₄×D₄×C₁₁	—	2	2	no	—
153	C₄×D₄×C₁₁	—	2	2	no	—
154	C₄×D₄×C₁₁	—	2	4	no	—
155	C₄×D₄×C₁₁	—	2	4	no	—
156	C₄×D₄×C₁₁	C₂³	1	4	yes	—
157	C₄×D₄×C₁₁	C₂³	1	4	yes	—
158	C₄×D₄×C₁₁	C₂³	1	4	yes	—
159	C₁₁×#117	—	2	2	no	—
160	C₁₁×#117	—	2	4	no	—
161	C₁₁×#117	D₄	1	2	yes	—
162	C₁₁×#117	D₄	1	2	yes	—
163	C₁₁×#117	C₂³	1	2	yes	—
164	C₁₁×#117	C₂³	1	1	yes	characteristic
165	C₁₁×#117	C₂³	1	1	yes	characteristic
166	C₁₁×#117	C₂³	1	2	yes	—
167	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
168	C₂×C₁₁×C₄⋊C₄	D₄	1	2	yes	—
169	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
171	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
172	C₂×C₁₁×C₂²⋊C₄	D₄	1	2	yes	—
173	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
174	C₁₁×#107	C₂³	1	4	yes	—
175	C₁₁×#107	C₂³	1	2	yes	—
176	C₁₁×#106	C₂³	1	1	yes	characteristic
177	C₁₁×#106	C₂³	1	2	yes	—
178	C₁₁×#106	C₂³	1	4	yes	—
179	C₁₁×#106	C₂³	1	1	yes	characteristic
180	C₁₁×#106	C₂³	1	2	yes	—
181	C₁₁×#103	C₂³	1	2	yes	—
182	C₁₁×#103	C₂³	1	4	yes	—
183	C₁₁×#103	C₂³	1	2	yes	—
184	C₁₁×#102	C₂³	1	4	yes	—
185	C₁₁×#102	C₂³	1	4	yes	—
186	C₁₁×#102	C₂³	1	2	yes	—
187	C₁₁×#102	C₂³	1	4	yes	—
188	C₁₁×#102	C₂³	1	4	yes	—
189	C₁₁×#102	C₂³	1	4	yes	—
190	C₁₁×#102	C₂³	1	2	yes	—
191	C₁₁×#97	C₂³	1	2	yes	—
192	C₁₁×#97	C₂³	1	2	yes	—
193	C₁₁×#97	C₂³	1	2	yes	—
194	C₁₁×#97	C₂³	1	2	yes	—
195	C₄×C₈×C₁₁	C₂³	1	2	yes	—
196	C₄×C₈×C₁₁	C₂³	1	2	yes	—
197	C₄×C₈×C₁₁	C₂³	1	2	yes	—
198	C₄×C₈×C₁₁	C₂³	1	2	yes	—
199	#60710	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
200	C₂⁴×C₁₁	—	2	2	no	—
201	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
202	C₁₁×#41	—	2	4	no	—
203	C₁₁×#41	—	2	4	no	—
204	C₁₁×#41	—	8	8	no	—
205	C₂×Q₈×C₁₁	—	2	4	no	—
206	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
207	C₂×D₄×C₁₁	—	2	2	no	—
208	C₂×D₄×C₁₁	—	2	2	no	—
209	C₂×D₄×C₁₁	—	2	4	no	—
210	C₂×D₄×C₁₁	—	2	2	no	—
211	C₂×D₄×C₁₁	—	2	4	no	—
212	C₂×D₄×C₁₁	—	2	2	no	—
213	C₂×D₄×C₁₁	—	2	4	no	—
214	C₂×D₄×C₁₁	—	2	4	no	—
215	C₂×D₄×C₁₁	—	2	4	no	—
216	C₂×D₄×C₁₁	—	2	4	no	—
217	C₂×D₄×C₁₁	—	8	4	no	—
218	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
219	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
220	C₂²×C₄×C₁₁	—	2	2	no	—
221	C₂²×C₄×C₁₁	—	2	2	no	—
222	C₂²×C₄×C₁₁	—	2	2	no	—
223	C₂²×C₄×C₁₁	—	2	2	no	—
224	C₂²×C₄×C₁₁	—	2	4	no	—
225	C₂²×C₄×C₁₁	—	2	4	no	—
226	C₂²×C₄×C₁₁	—	2	4	no	—
227	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
228	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
229	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
230	C₂²×C₄×C₁₁	C₂×D₄	1	4	yes	—
231	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
232	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
233	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
234	C₁₁×Q₁₆	—	2	2	no	—
235	C₁₁×SD₁₆	—	2	4	no	—
236	C₁₁×SD₁₆	—	2	8	no	—
237	C₁₁×D₈	—	2	4	no	—
238	C₁₁×D₈	—	2	4	no	—
239	C₁₁×D₈	—	2	2	no	—
240	C₁₁×D₈	—	2	8	no	—
241	C₁₁×M₁₆	—	2	4	no	—
242	C₁₁×M₁₆	—	2	2	no	—
243	C₁₁×M₁₆	—	2	2	no	—
244	C₁₁×M₁₆	—	2	2	no	—
245	C₁₁×M₁₆	—	2	2	no	—
246	C₁₁×M₁₆	—	2	2	no	—
247	C₁₁×M₁₆	#41	1	4	yes	complemented
248	C₂×C₈×C₁₁	—	2	4	no	—
249	C₂×C₈×C₁₁	—	2	2	no	—
250	C₂×C₈×C₁₁	#41	1	4	yes	complemented
251	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
252	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
253	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
254	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
255	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
256	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
257	C₁₁×C₄⋊C₄	—	2	2	no	—
258	C₁₁×C₄⋊C₄	—	2	4	no	—
259	C₁₁×C₄⋊C₄	—	2	2	no	—
260	C₁₁×C₄⋊C₄	—	2	4	no	—
261	C₁₁×C₄⋊C₄	—	2	4	no	—
262	C₁₁×C₄⋊C₄	—	2	4	no	—
263	C₁₁×C₄⋊C₄	—	2	2	no	—
264	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
265	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
266	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
267	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
268	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
269	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
270	C₁₁×C₂²⋊C₄	—	2	2	no	—
271	C₁₁×C₂²⋊C₄	—	2	2	no	—
272	C₁₁×C₂²⋊C₄	—	2	2	no	—
273	C₁₁×C₂²⋊C₄	—	2	4	no	—
274	C₁₁×C₂²⋊C₄	—	2	4	no	—
275	C₁₁×C₂²⋊C₄	—	2	4	no	—
276	C₁₁×C₂²⋊C₄	—	2	4	no	—
277	C₁₁×C₂²⋊C₄	—	2	4	no	—
278	C₁₁×C₂²⋊C₄	—	2	4	no	—
279	C₁₁×C₂²⋊C₄	—	2	2	no	—
280	C₁₁×C₂²⋊C₄	—	2	4	no	—
281	C₁₁×C₂²⋊C₄	—	2	2	no	—
282	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
283	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
284	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
285	C₄²×C₁₁	—	2	4	no	—
286	C₄²×C₁₁	—	2	2	no	—
287	C₄²×C₁₁	C₂×D₄	1	4	yes	—
288	C₄²×C₁₁	C₂⁴	1	2	yes	—
289	C₄²×C₁₁	C₂⁴	1	2	yes	—
290	#3494	C₂×C₁₁	1	2	yes	complemented
291	#3184	C₂×C₁₁	1	2	yes	complemented
292	#3183	C₂×C₁₁	1	2	yes	complemented
293	#3179	C₂×C₁₁	1	4	yes	complemented
294	#3176	C₂×C₁₁	1	2	yes	complemented
295	#3173	C₂×C₁₁	1	2	yes	complemented
296	#3171	C₂×C₁₁	1	4	yes	complemented
297	#3163	C₂×C₁₁	1	1	yes	characteristic, complemented
298	#3155	C₂×C₁₁	1	1	yes	characteristic, complemented
299	#3136	C₂×C₁₁	1	2	yes	complemented
300	#3055	C₂×C₁₁	1	2	yes	complemented
301	#3054	C₂×C₁₁	1	1	yes	characteristic, complemented
302	C₂×#469	C₂×C₁₁	1	1	yes	characteristic, complemented
303	#2952	C₂×C₁₁	1	1	yes	characteristic, complemented
304	#2948	C₂×C₁₁	1	1	yes	characteristic, complemented
305	#2946	C₂×C₁₁	1	2	yes	complemented
306	#2873	C₂×C₁₁	1	1	yes	characteristic, complemented
307	C₂³×C₁₁	—	2	2	no	—
308	C₂³×C₁₁	—	2	4	no	—
309	C₂³×C₁₁	—	2	2	no	—
310	C₂³×C₁₁	—	4	2	no	—
311	C₂³×C₁₁	—	4	4	no	—
312	C₂³×C₁₁	—	8	2	no	—
313	C₂³×C₁₁	—	8	2	no	—
314	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
315	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
316	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
317	Q₈×C₁₁	—	2	2	no	—
318	Q₈×C₁₁	—	2	2	no	—
319	Q₈×C₁₁	—	8	4	no	—
320	D₄×C₁₁	—	2	4	no	—
321	D₄×C₁₁	—	2	2	no	—
322	D₄×C₁₁	—	2	4	no	—
323	D₄×C₁₁	—	2	2	no	—
324	D₄×C₁₁	—	4	8	no	—
325	D₄×C₁₁	—	4	4	no	—
326	D₄×C₁₁	—	4	4	no	—
327	D₄×C₁₁	—	4	4	no	—
328	D₄×C₁₁	—	8	4	no	—
329	D₄×C₁₁	—	8	4	no	—
330	D₄×C₁₁	—	8	2	no	—
331	D₄×C₁₁	—	8	4	no	—
332	C₂×C₄×C₁₁	—	2	2	no	—
333	C₂×C₄×C₁₁	—	2	2	no	—
334	C₂×C₄×C₁₁	—	2	2	no	—
335	C₂×C₄×C₁₁	—	2	1	no	—
336	C₂×C₄×C₁₁	—	2	1	no	—
337	C₂×C₄×C₁₁	—	2	1	no	—
338	C₂×C₄×C₁₁	—	2	1	no	—
339	C₂×C₄×C₁₁	—	2	2	no	—
340	C₂×C₄×C₁₁	—	2	2	no	—
341	C₂×C₄×C₁₁	—	2	2	no	—
342	C₂×C₄×C₁₁	—	2	4	no	—
343	C₂×C₄×C₁₁	—	4	4	no	—
344	C₂×C₄×C₁₁	—	4	4	no	—
345	C₂×C₄×C₁₁	—	8	4	no	—
346	C₂×C₄×C₁₁	—	8	4	no	—
347	C₂×C₄×C₁₁	—	8	4	no	—
348	C₂×C₄×C₁₁	—	8	2	no	—
349	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
350	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
351	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
352	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
353	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
354	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
355	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
356	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
357	C₈×C₁₁	—	2	2	no	—
358	C₈×C₁₁	—	2	1	no	—
359	C₈×C₁₁	—	2	1	no	—
360	C₈×C₁₁	C₂×#41	1	4	yes	—
361	C₈×C₁₁	C₂×#41	1	2	yes	—
362	C₈×C₁₁	C₂×#41	1	2	yes	—
363	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	—
364	C₂×#135	C₂²×C₁₁	1	1	yes	characteristic
365	C₂²×D₈	C₂²×C₁₁	1	1	yes	characteristic
366	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
367	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
368	#555	—	2	2	no	—
369	#553	—	2	2	no	—
370	#553	—	2	2	no	—
371	#551	—	2	4	no	—
372	#547	—	2	2	no	—
373	#546	—	2	4	no	—
374	#544	C₂²×C₁₁	1	2	yes	—
375	#542	C₂²×C₁₁	1	4	yes	complemented
376	#540	C₂²×C₁₁	1	4	yes	complemented
377	#535	C₂²×C₁₁	1	2	yes	—
378	#532	C₂²×C₁₁	1	4	yes	complemented
379	#529	C₂²×C₁₁	1	4	yes	complemented
380	#525	C₂²×C₁₁	1	2	yes	—
381	C₂×#121	C₂²×C₁₁	1	2	yes	—
382	#520	C₂²×C₁₁	1	2	yes	—
383	#518	C₂²×C₁₁	1	2	yes	—
384	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
385	#501	C₂²×C₁₁	1	4	yes	complemented
386	#499	C₂²×C₁₁	1	2	yes	complemented
387	#498	C₂²×C₁₁	1	2	yes	complemented
388	#496	C₂²×C₁₁	1	4	yes	complemented
389	#495	C₂²×C₁₁	1	2	yes	complemented
390	#493	C₂²×C₁₁	1	2	yes	complemented
391	#490	C₂²×C₁₁	1	4	yes	complemented
392	#489	C₂²×C₁₁	1	4	yes	complemented
393	#488	C₂²×C₁₁	1	4	yes	complemented
394	#486	C₂²×C₁₁	1	4	yes	complemented
395	#470	C₂²×C₁₁	1	1	yes	characteristic, complemented
396	#470	C₂²×C₁₁	1	1	yes	characteristic, complemented
397	#469	C₂²×C₁₁	1	2	yes	—
398	#469	C₂²×C₁₁	1	2	yes	—
399	#469	C₂²×C₁₁	1	2	yes	—
400	#469	C₂²×C₁₁	1	2	yes	—
401	#469	C₂²×C₁₁	1	4	yes	complemented
402	#469	C₂²×C₁₁	1	1	yes	characteristic, complemented
403	#469	C₂²×C₁₁	1	1	yes	characteristic, complemented
404	#468	C₂²×C₁₁	1	2	yes	complemented
405	#468	C₂²×C₁₁	1	4	yes	complemented
406	#468	C₂²×C₁₁	1	2	yes	complemented
407	#466	C₂²×C₁₁	1	4	yes	complemented
408	#465	C₂²×C₁₁	1	4	yes	complemented
409	#442	C₂²×C₁₁	1	2	yes	complemented
410	#442	C₂²×C₁₁	1	2	yes	complemented
411	#442	C₂²×C₁₁	1	2	yes	complemented
412	#442	C₂²×C₁₁	1	4	yes	complemented
413	#441	C₂²×C₁₁	1	2	yes	complemented
414	#440	C₂²×C₁₁	1	4	yes	complemented
415	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
416	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
417	C₄×D₈	C₂²×C₁₁	1	4	yes	complemented
418	C₄×D₈	C₂²×C₁₁	1	4	yes	complemented
419	#428	C₂²×C₁₁	1	2	yes	—
420	#427	C₂²×C₁₁	1	1	yes	characteristic
421	C₂×#106	C₂²×C₁₁	1	1	yes	characteristic
422	#418	C₂²×C₁₁	1	2	yes	—
423	#417	C₂²×C₁₁	1	2	yes	—
424	#416	C₂²×C₁₁	1	2	yes	—
425	C₂×#102	C₂²×C₁₁	1	2	yes	—
426	#405	C₂²×C₁₁	1	1	yes	characteristic
427	#405	C₂²×C₁₁	1	1	yes	characteristic
428	#405	C₂²×C₁₁	1	1	yes	characteristic
429	#405	C₂²×C₁₁	1	1	yes	characteristic
430	#405	C₂²×C₁₁	1	2	yes	complemented
431	#405	C₂²×C₁₁	1	2	yes	complemented
432	C₄×M₁₆	C₂²×C₁₁	1	2	yes	complemented
433	C₄×M₁₆	C₂²×C₁₁	1	2	yes	complemented
434	C₂²×C₁₁	—	2	2	no	—
435	C₂²×C₁₁	—	2	2	no	—
436	C₂²×C₁₁	—	2	2	no	—
437	C₂²×C₁₁	—	2	1	no	—
438	C₂²×C₁₁	—	2	1	no	—
439	C₂²×C₁₁	—	4	2	no	—
440	C₂²×C₁₁	—	4	4	no	—
441	C₂²×C₁₁	—	4	4	no	—
442	C₂²×C₁₁	—	4	2	no	—
443	C₂²×C₁₁	—	4	2	no	—
444	C₂²×C₁₁	—	4	4	no	—
445	C₂²×C₁₁	—	8	2	no	—
446	C₂²×C₁₁	—	16	4	no	—
447	C₂²×C₁₁	#532	1	2	yes	—
448	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
449	C₄×C₁₁	—	2	4	no	—
450	C₄×C₁₁	—	2	4	no	—
451	C₄×C₁₁	—	2	1	no	—
452	C₄×C₁₁	—	2	1	no	—
453	C₄×C₁₁	—	4	4	no	—
454	C₄×C₁₁	—	4	2	no	—
455	C₄×C₁₁	—	4	2	no	—
456	C₄×C₁₁	—	4	2	no	—
457	C₄×C₁₁	#532	1	2	yes	—
458	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
459	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
460	C₂×#41	—	2	4	no	—
461	C₂×#41	C₂³×C₁₁	1	2	yes	—
462	C₂²×D₄	—	2	2	no	—
463	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
464	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
465	AGL(1,ℤ/8)	—	2	8	no	—
466	#135	—	2	4	no	—
467	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
468	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
469	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
470	C₂×D₈	—	2	4	no	—
471	C₂×D₈	C₂³×C₁₁	1	2	yes	—
472	C₂×D₈	C₂³×C₁₁	1	2	yes	—
473	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
474	C₂×D₈	C₂³×C₁₁	1	4	yes	—
475	C₂×M₁₆	—	2	4	no	—
476	C₂×M₁₆	—	2	4	no	—
477	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
478	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
479	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
480	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
481	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
482	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
483	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
484	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
485	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
486	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
487	C₄⋊Q₈	—	2	2	no	—
488	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
489	#127	C₂³×C₁₁	1	4	yes	—
490	#126	—	2	4	no	—
491	#126	—	2	4	no	—
492	#125	—	2	2	no	—
493	#125	C₂³×C₁₁	1	4	yes	—
494	#124	—	2	4	no	—
495	#124	—	2	4	no	—
496	#124	C₂³×C₁₁	1	4	yes	—
497	#123	—	2	2	no	—
498	#123	—	2	4	no	—
499	#123	—	2	4	no	—
500	#123	—	2	4	no	—
501	#123	—	2	4	no	—
502	C₂²⋊Q₈	—	2	4	no	—
503	C₂²⋊Q₈	—	2	4	no	—
504	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
505	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
506	#121	—	2	2	no	—
507	#121	—	2	2	no	—
508	#121	—	2	4	no	—
509	#121	—	2	2	no	—
510	#121	—	2	2	no	—
511	#121	—	2	4	no	—
512	#121	—	2	4	no	—
513	#121	C₂³×C₁₁	1	4	yes	—
514	#121	C₂³×C₁₁	1	4	yes	—
515	#121	C₂³×C₁₁	1	2	yes	—
516	#121	C₂³×C₁₁	1	2	yes	—
517	#120	—	2	2	no	—
518	#120	—	2	4	no	—
519	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
520	C₄×D₄	—	2	2	no	—
521	C₄×D₄	—	2	2	no	—
522	C₄×D₄	—	2	4	no	—
523	C₄×D₄	—	2	2	no	—
524	C₄×D₄	—	2	2	no	—
525	C₄×D₄	—	2	4	no	—
526	C₄×D₄	—	2	4	no	—
527	C₄×D₄	C₂³×C₁₁	1	4	yes	—
528	C₄×D₄	C₂³×C₁₁	1	4	yes	—
529	C₄×D₄	C₂³×C₁₁	1	4	yes	—
530	#117	—	2	2	no	—
531	#117	—	2	4	no	—
532	#117	D₄×C₁₁	1	2	yes	—
533	#117	D₄×C₁₁	1	2	yes	—
534	#117	C₂³×C₁₁	1	2	yes	—
535	#117	C₂³×C₁₁	1	1	yes	characteristic
536	#117	C₂³×C₁₁	1	1	yes	characteristic
537	#117	C₂³×C₁₁	1	2	yes	—
538	C₂×C₄⋊C₄	—	2	2	no	—
539	C₂×C₄⋊C₄	D₄×C₁₁	1	2	yes	—
540	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
541	C₂×C₂²⋊C₄	—	2	2	no	—
542	C₂×C₂²⋊C₄	—	2	4	no	—
543	C₂×C₂²⋊C₄	D₄×C₁₁	1	2	yes	—
544	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
545	#107	C₂³×C₁₁	1	2	yes	—
546	#107	C₂³×C₁₁	1	4	yes	—
547	#106	C₂³×C₁₁	1	2	yes	—
548	#106	C₂³×C₁₁	1	2	yes	—
549	#106	C₂³×C₁₁	1	1	yes	characteristic
550	#106	C₂³×C₁₁	1	1	yes	characteristic
551	#106	C₂³×C₁₁	1	4	yes	—
552	#103	C₂³×C₁₁	1	2	yes	—
553	#103	C₂³×C₁₁	1	2	yes	—
554	#103	C₂³×C₁₁	1	4	yes	—
555	#102	C₂³×C₁₁	1	4	yes	—
556	#102	C₂³×C₁₁	1	4	yes	—
557	#102	C₂³×C₁₁	1	2	yes	—
558	#102	C₂³×C₁₁	1	2	yes	—
559	#102	C₂³×C₁₁	1	4	yes	—
560	#102	C₂³×C₁₁	1	4	yes	—
561	#102	C₂³×C₁₁	1	4	yes	—
562	#97	C₂³×C₁₁	1	2	yes	—
563	#97	C₂³×C₁₁	1	2	yes	—
564	#97	C₂³×C₁₁	1	2	yes	—
565	#97	C₂³×C₁₁	1	2	yes	—
566	C₄×C₈	C₂³×C₁₁	1	2	yes	—
567	C₄×C₈	C₂³×C₁₁	1	2	yes	—
568	C₄×C₈	C₂³×C₁₁	1	2	yes	—
569	C₄×C₈	C₂³×C₁₁	1	2	yes	—
570	C₂×C₁₁	—	2	2	no	—
571	C₂×C₁₁	—	4	1	no	—
572	C₂×C₁₁	—	4	1	no	—
573	C₂×C₁₁	—	8	2	no	—
574	C₂×C₁₁	—	8	4	no	—
575	C₂×C₁₁	C₂×#532	1	1	yes	characteristic
576	C₂×C₁₁	#3585	1	2	yes	—
577	C₂⁴	—	2	2	no	—
578	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
579	#41	—	2	4	no	—
580	#41	—	2	4	no	—
581	#41	—	8	8	no	—
582	C₂×Q₈	—	2	4	no	—
583	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
584	C₂×D₄	—	2	2	no	—
585	C₂×D₄	—	2	2	no	—
586	C₂×D₄	—	2	4	no	—
587	C₂×D₄	—	2	2	no	—
588	C₂×D₄	—	2	4	no	—
589	C₂×D₄	—	2	2	no	—
590	C₂×D₄	—	2	4	no	—
591	C₂×D₄	—	2	4	no	—
592	C₂×D₄	—	2	4	no	—
593	C₂×D₄	—	2	4	no	—
594	C₂×D₄	—	8	4	no	—
595	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
596	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
597	C₂²×C₄	—	2	2	no	—
598	C₂²×C₄	—	2	2	no	—
599	C₂²×C₄	—	2	2	no	—
600	C₂²×C₄	—	2	2	no	—
601	C₂²×C₄	—	2	4	no	—
602	C₂²×C₄	—	2	4	no	—
603	C₂²×C₄	—	2	4	no	—
604	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
605	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
606	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
607	C₂²×C₄	C₂×D₄×C₁₁	1	4	yes	—
608	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
609	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
610	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
611	Q₁₆	—	2	2	no	—
612	SD₁₆	—	2	4	no	—
613	SD₁₆	—	2	8	no	—
614	D₈	—	2	4	no	—
615	D₈	—	2	4	no	—
616	D₈	—	2	2	no	—
617	D₈	—	2	8	no	—
618	M₁₆	—	2	2	no	—
619	M₁₆	—	2	4	no	—
620	M₁₆	—	2	2	no	—
621	M₁₆	—	2	2	no	—
622	M₁₆	—	2	2	no	—
623	M₁₆	—	2	2	no	—
624	M₁₆	C₁₁×#41	1	4	yes	complemented
625	C₂×C₈	—	2	2	no	—
626	C₂×C₈	—	2	4	no	—
627	C₂×C₈	C₁₁×#41	1	4	yes	complemented
628	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
629	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
630	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
631	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
632	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
633	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
634	C₄⋊C₄	—	2	2	no	—
635	C₄⋊C₄	—	2	4	no	—
636	C₄⋊C₄	—	2	2	no	—
637	C₄⋊C₄	—	2	4	no	—
638	C₄⋊C₄	—	2	4	no	—
639	C₄⋊C₄	—	2	4	no	—
640	C₄⋊C₄	—	2	2	no	—
641	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
642	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
643	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
644	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
645	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
646	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
647	C₂²⋊C₄	—	2	2	no	—
648	C₂²⋊C₄	—	2	2	no	—
649	C₂²⋊C₄	—	2	2	no	—
650	C₂²⋊C₄	—	2	4	no	—
651	C₂²⋊C₄	—	2	4	no	—
652	C₂²⋊C₄	—	2	4	no	—
653	C₂²⋊C₄	—	2	4	no	—
654	C₂²⋊C₄	—	2	4	no	—
655	C₂²⋊C₄	—	2	4	no	—
656	C₂²⋊C₄	—	2	2	no	—
657	C₂²⋊C₄	—	2	4	no	—
658	C₂²⋊C₄	—	2	2	no	—
659	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
660	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
661	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
662	C₄²	—	2	4	no	—
663	C₄²	—	2	2	no	—
664	C₄²	C₂×D₄×C₁₁	1	4	yes	—
665	C₄²	C₂⁴×C₁₁	1	2	yes	—
666	C₄²	C₂⁴×C₁₁	1	2	yes	—
667	C₁₁	#60710	1	1	yes	characteristic, direct product factor, Sylow
668	C₂³	—	2	2	no	—
669	C₂³	—	2	4	no	—
670	C₂³	—	2	2	no	—
671	C₂³	—	4	2	no	—
672	C₂³	—	4	4	no	—
673	C₂³	—	8	2	no	—
674	C₂³	—	8	2	no	—
675	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
676	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
677	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
678	Q₈	—	2	2	no	—
679	Q₈	—	2	2	no	—
680	Q₈	—	8	4	no	—
681	D₄	—	2	4	no	—
682	D₄	—	2	2	no	—
683	D₄	—	2	4	no	—
684	D₄	—	2	2	no	—
685	D₄	—	4	8	no	—
686	D₄	—	4	4	no	—
687	D₄	—	4	4	no	—
688	D₄	—	4	4	no	—
689	D₄	—	8	4	no	—
690	D₄	—	8	4	no	—
691	D₄	—	8	2	no	—
692	D₄	—	8	4	no	—
693	C₂×C₄	—	2	2	no	—
694	C₂×C₄	—	2	2	no	—
695	C₂×C₄	—	2	2	no	—
696	C₂×C₄	—	2	1	no	—
697	C₂×C₄	—	2	1	no	—
698	C₂×C₄	—	2	1	no	—
699	C₂×C₄	—	2	1	no	—
700	C₂×C₄	—	2	2	no	—
701	C₂×C₄	—	2	2	no	—
702	C₂×C₄	—	2	2	no	—
703	C₂×C₄	—	2	4	no	—
704	C₂×C₄	—	4	4	no	—
705	C₂×C₄	—	4	4	no	—
706	C₂×C₄	—	8	4	no	—
707	C₂×C₄	—	8	4	no	—
708	C₂×C₄	—	8	4	no	—
709	C₂×C₄	—	8	2	no	—
710	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
711	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
712	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
713	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
714	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
715	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
716	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
717	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
718	C₈	—	2	1	no	—
719	C₈	—	2	1	no	—
720	C₈	—	2	2	no	—
721	C₈	C₂×C₁₁×#41	1	4	yes	—
722	C₈	C₂×C₁₁×#41	1	2	yes	—
723	C₈	C₂×C₁₁×#41	1	2	yes	—
724	C₂²	—	2	2	no	—
725	C₂²	—	2	1	no	—
726	C₂²	—	2	1	no	—
727	C₂²	—	2	2	no	—
728	C₂²	—	2	2	no	—
729	C₂²	—	4	2	no	—
730	C₂²	—	4	4	no	—
731	C₂²	—	4	2	no	—
732	C₂²	—	4	4	no	—
733	C₂²	—	4	4	no	—
734	C₂²	—	4	2	no	—
735	C₂²	—	8	2	no	—
736	C₂²	—	16	4	no	—
737	C₂²	C₁₁×#532	1	2	yes	—
738	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
739	C₄	—	2	1	no	—
740	C₄	—	2	1	no	—
741	C₄	—	2	4	no	—
742	C₄	—	2	4	no	—
743	C₄	—	4	2	no	—
744	C₄	—	4	4	no	—
745	C₄	—	4	2	no	—
746	C₄	—	4	2	no	—
747	C₄	C₁₁×#532	1	2	yes	—
748	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
749	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
750	C₂	—	2	2	no	—
751	C₂	—	4	1	no	—
752	C₂	—	4	1	no	—
753	C₂	—	8	4	no	—
754	C₂	—	8	2	no	—
755	C₂	C₂×C₁₁×#532	1	1	yes	characteristic
756	C₂	C₁₁×#3585	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₂×C₁₁×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3494	C₂	semidirect
2. C₁₁×#3184	C₂	semidirect
3. C₁₁×#3183	C₂	semidirect
4. C₁₁×#3179	C₂	semidirect
5. C₁₁×#3176	C₂	semidirect
6. C₁₁×#3173	C₂	semidirect
7. C₁₁×#3171	C₂	semidirect
8. C₁₁×#3163	C₂	semidirect
9. C₁₁×#3155	C₂	semidirect
10. C₁₁×#3136	C₂	semidirect
11. C₁₁×#3055	C₂	semidirect
12. C₁₁×#3054	C₂	semidirect
13. C₂×C₁₁×#469	C₂	semidirect
14. C₁₁×#2952	C₂	semidirect
15. C₁₁×#2948	C₂	semidirect
16. C₁₁×#2946	C₂	semidirect
17. C₁₁×#2873	C₂	semidirect
30. C₁₁×#542	C₂²	semidirect
31. C₁₁×#540	C₂²	semidirect
33. C₁₁×#532	C₂²	semidirect
34. C₁₁×#529	C₂²	semidirect
40. C₁₁×#501	C₂²	semidirect
41. C₁₁×#499	C₂²	semidirect
42. C₁₁×#498	C₂²	semidirect
43. C₁₁×#496	C₂²	semidirect
44. C₁₁×#495	C₂²	semidirect
45. C₁₁×#493	C₂²	semidirect
46. C₁₁×#490	C₂²	semidirect
47. C₁₁×#489	C₂²	semidirect
48. C₁₁×#488	C₂²	semidirect
49. C₁₁×#486	C₂²	semidirect
50. C₁₁×#470	C₂²	semidirect
51. C₁₁×#470	C₂²	semidirect
56. C₁₁×#469	C₂²	semidirect
57. C₁₁×#469	C₂²	semidirect
58. C₁₁×#469	C₂²	semidirect
59. C₁₁×#468	C₂²	semidirect
60. C₁₁×#468	C₂²	semidirect
61. C₁₁×#468	C₂²	semidirect
62. C₁₁×#466	C₂²	semidirect
63. C₁₁×#465	C₂²	semidirect
64. C₁₁×#442	C₂²	semidirect
65. C₁₁×#442	C₂²	semidirect
66. C₁₁×#442	C₂²	semidirect
67. C₁₁×#442	C₂²	semidirect
68. C₁₁×#441	C₂²	semidirect
69. C₁₁×#440	C₂²	semidirect
70. C₄×C₁₁×SD₁₆	C₂²	semidirect
71. C₄×C₁₁×SD₁₆	C₂²	semidirect
72. C₄×C₁₁×D₈	C₂²	semidirect
73. C₄×C₁₁×D₈	C₂²	semidirect
85. C₁₁×#405	C₂²	semidirect
86. C₁₁×#405	C₂²	semidirect
87. C₄×C₁₁×M₁₆	C₂²	semidirect
88. C₄×C₁₁×M₁₆	C₂²	semidirect
199. #60710	C₁₁	direct (N × H)
247. C₁₁×M₁₆	#41	semidirect
250. C₂×C₈×C₁₁	#41	semidirect
290. #3494	C₂×C₁₁	semidirect
291. #3184	C₂×C₁₁	semidirect
292. #3183	C₂×C₁₁	semidirect
293. #3179	C₂×C₁₁	semidirect
294. #3176	C₂×C₁₁	semidirect
295. #3173	C₂×C₁₁	semidirect
296. #3171	C₂×C₁₁	semidirect
297. #3163	C₂×C₁₁	semidirect
298. #3155	C₂×C₁₁	semidirect
299. #3136	C₂×C₁₁	semidirect
300. #3055	C₂×C₁₁	semidirect
301. #3054	C₂×C₁₁	semidirect
302. C₂×#469	C₂×C₁₁	semidirect
303. #2952	C₂×C₁₁	semidirect
304. #2948	C₂×C₁₁	semidirect
305. #2946	C₂×C₁₁	semidirect
306. #2873	C₂×C₁₁	semidirect
375. #542	C₂²×C₁₁	semidirect
376. #540	C₂²×C₁₁	semidirect
378. #532	C₂²×C₁₁	semidirect
379. #529	C₂²×C₁₁	semidirect
385. #501	C₂²×C₁₁	semidirect
386. #499	C₂²×C₁₁	semidirect
387. #498	C₂²×C₁₁	semidirect
388. #496	C₂²×C₁₁	semidirect
389. #495	C₂²×C₁₁	semidirect
390. #493	C₂²×C₁₁	semidirect
391. #490	C₂²×C₁₁	semidirect
392. #489	C₂²×C₁₁	semidirect
393. #488	C₂²×C₁₁	semidirect
394. #486	C₂²×C₁₁	semidirect
395. #470	C₂²×C₁₁	semidirect
396. #470	C₂²×C₁₁	semidirect
401. #469	C₂²×C₁₁	semidirect
402. #469	C₂²×C₁₁	semidirect
403. #469	C₂²×C₁₁	semidirect
404. #468	C₂²×C₁₁	semidirect
405. #468	C₂²×C₁₁	semidirect
406. #468	C₂²×C₁₁	semidirect
407. #466	C₂²×C₁₁	semidirect
408. #465	C₂²×C₁₁	semidirect
409. #442	C₂²×C₁₁	semidirect
410. #442	C₂²×C₁₁	semidirect
411. #442	C₂²×C₁₁	semidirect
412. #442	C₂²×C₁₁	semidirect
413. #441	C₂²×C₁₁	semidirect
414. #440	C₂²×C₁₁	semidirect
415. C₄×SD₁₆	C₂²×C₁₁	semidirect
416. C₄×SD₁₆	C₂²×C₁₁	semidirect
417. C₄×D₈	C₂²×C₁₁	semidirect
418. C₄×D₈	C₂²×C₁₁	semidirect
430. #405	C₂²×C₁₁	semidirect
431. #405	C₂²×C₁₁	semidirect
432. C₄×M₁₆	C₂²×C₁₁	semidirect
433. C₄×M₁₆	C₂²×C₁₁	semidirect
624. M₁₆	C₁₁×#41	semidirect
627. C₂×C₈	C₁₁×#41	semidirect
667. C₁₁	#60710	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×#3494	2
C₁₁×#3184	2
C₁₁×#3183	2
C₁₁×#3179	2
C₁₁×#3176	2
C₁₁×#3173	2
C₁₁×#3171	2
C₁₁×#3163	2
C₁₁×#3155	2
C₁₁×#3136	2
C₁₁×#3055	2
C₁₁×#3054	2
C₂×C₁₁×#469	2
C₁₁×#2952	2
C₁₁×#2948	2
C₁₁×#2946	2
C₁₁×#2873	2
#60710	11

Subgroups — C11×#60710 #14637903

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60710 #14637903