Subgroups — C₁₁×#60711 #14637904

Order 2816.

1846 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3495	C₂	1	2	yes	maximal, complemented
2	C₁₁×#3185	C₂	1	2	yes	maximal, complemented
3	C₁₁×#3183	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3178	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3177	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3173	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3172	C₂	1	4	yes	maximal, complemented
8	C₁₁×#3163	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#3156	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3137	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3056	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3054	C₂	1	1	yes	maximal, characteristic
13	C₂×C₁₁×#470	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#2952	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2950	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2947	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2873	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×#137	C₂²	1	2	yes	—
19	C₂×C₁₁×#135	C₂²	1	1	yes	characteristic
20	C₂²×C₁₁×Q₁₆	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×#556	—	2	2	no	—
24	C₁₁×#554	—	2	2	no	—
25	C₁₁×#552	—	2	4	no	—
26	C₁₁×#552	—	2	2	no	—
27	C₁₁×#552	—	2	2	no	—
28	C₁₁×#551	—	2	4	no	—
29	C₁₁×#544	C₂²	1	2	yes	—
30	C₁₁×#542	C₂²	1	4	yes	—
31	C₁₁×#541	C₂²	1	4	yes	—
32	C₁₁×#536	C₂²	1	2	yes	—
33	C₁₁×#533	C₂²	1	4	yes	—
34	C₁₁×#529	C₂²	1	4	yes	—
35	C₁₁×#525	C₂²	1	2	yes	—
36	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
37	C₁₁×#520	C₂²	1	2	yes	—
38	C₁₁×#519	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×#497	C₂²	1	4	yes	complemented
44	C₁₁×#495	C₂²	1	2	yes	complemented
45	C₁₁×#494	C₂²	1	2	yes	complemented
46	C₁₁×#491	C₂²	1	4	yes	complemented
47	C₁₁×#489	C₂²	1	4	yes	complemented
48	C₁₁×#488	C₂²	1	4	yes	complemented
49	C₁₁×#487	C₂²	1	4	yes	complemented
50	C₁₁×#470	C₂²	1	2	yes	—
51	C₁₁×#470	C₂²	1	4	yes	—
52	C₁₁×#470	C₂²	1	2	yes	—
53	C₁₁×#470	C₂²	1	1	yes	characteristic
54	C₁₁×#470	C₂²	1	2	yes	—
55	C₁₁×#470	C₂²	1	2	yes	—
56	C₁₁×#470	C₂²	1	1	yes	characteristic
57	C₁₁×#469	C₂²	1	1	yes	characteristic
58	C₁₁×#469	C₂²	1	1	yes	characteristic
59	C₁₁×#468	C₂²	1	2	yes	—
60	C₁₁×#468	C₂²	1	4	yes	—
61	C₁₁×#468	C₂²	1	2	yes	—
62	C₁₁×#467	C₂²	1	4	yes	—
63	C₁₁×#465	C₂²	1	4	yes	—
64	C₁₁×#442	C₂²	1	2	yes	complemented
65	C₁₁×#441	C₂²	1	2	yes	complemented
66	C₁₁×#441	C₂²	1	2	yes	complemented
67	C₁₁×#441	C₂²	1	2	yes	complemented
68	C₁₁×#441	C₂²	1	4	yes	complemented
69	C₁₁×#440	C₂²	1	4	yes	complemented
70	C₄×C₁₁×Q₁₆	C₂²	1	4	yes	complemented
71	C₄×C₁₁×Q₁₆	C₂²	1	4	yes	complemented
72	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
73	C₄×C₁₁×SD₁₆	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×#419	C₂²	1	2	yes	—
78	C₁₁×#417	C₂²	1	2	yes	—
79	C₁₁×#416	C₂²	1	2	yes	—
80	C₂×C₁₁×#103	C₂²	1	2	yes	—
81	C₁₁×#405	C₂²	1	1	yes	characteristic
82	C₁₁×#405	C₂²	1	2	yes	—
83	C₁₁×#405	C₂²	1	2	yes	—
84	C₁₁×#405	C₂²	1	1	yes	characteristic
85	C₁₁×#405	C₂²	1	1	yes	characteristic
86	C₁₁×#405	C₂²	1	1	yes	characteristic
87	C₄×C₁₁×M₁₆	C₂²	1	2	yes	—
88	C₄×C₁₁×M₁₆	C₂²	1	2	yes	—
89	C₂×C₁₁×#41	C₂³	1	2	yes	—
90	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
91	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
92	C₁₁×#137	—	2	8	no	—
93	C₁₁×#135	—	2	4	no	—
94	C₂×C₁₁×Q₁₆	—	2	4	no	—
95	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
96	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
97	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
98	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
99	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
100	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
101	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
102	C₂×C₁₁×M₁₆	—	2	4	no	—
103	C₂×C₁₁×M₁₆	—	2	4	no	—
104	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
105	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
106	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
107	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
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	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
112	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
113	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
114	C₁₁×C₄⋊Q₈	—	2	2	no	—
115	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
116	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
117	C₁₁×#126	—	2	4	no	—
118	C₁₁×#126	—	2	4	no	—
119	C₁₁×#126	—	2	4	no	—
120	C₁₁×#126	—	2	4	no	—
121	C₁₁×#125	—	2	4	no	—
122	C₁₁×#125	—	2	4	no	—
123	C₁₁×#125	—	2	2	no	—
124	C₁₁×#125	—	2	4	no	—
125	C₁₁×#125	C₂³	1	4	yes	—
126	C₁₁×#124	—	2	4	no	—
127	C₁₁×#124	C₂³	1	4	yes	—
128	C₁₁×#123	—	2	2	no	—
129	C₁₁×#123	—	2	4	no	—
130	C₁₁×#123	—	2	4	no	—
131	C₁₁×#123	—	2	4	no	—
132	C₁₁×C₂²⋊Q₈	—	2	2	no	—
133	C₁₁×C₂²⋊Q₈	—	2	2	no	—
134	C₁₁×C₂²⋊Q₈	—	2	4	no	—
135	C₁₁×C₂²⋊Q₈	—	2	2	no	—
136	C₁₁×C₂²⋊Q₈	—	2	2	no	—
137	C₁₁×C₂²⋊Q₈	—	2	4	no	—
138	C₁₁×C₂²⋊Q₈	—	2	4	no	—
139	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
140	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
141	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
142	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
143	C₁₁×#121	C₂³	1	2	yes	—
144	C₁₁×#121	C₂³	1	2	yes	—
145	C₁₁×#120	—	2	2	no	—
146	C₄×Q₈×C₁₁	—	2	2	no	—
147	C₄×Q₈×C₁₁	—	2	2	no	—
148	C₄×Q₈×C₁₁	—	2	4	no	—
149	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
150	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
151	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
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	C₁₁×#117	—	2	4	no	—
158	C₁₁×#117	—	2	2	no	—
159	C₁₁×#117	—	2	4	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	—	2	2	no	—
169	C₂×C₁₁×C₄⋊C₄	D₄	1	2	yes	—
170	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₁×C₂²⋊C₄	—	2	2	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	4	yes	—
182	C₁₁×#103	C₂³	1	4	yes	—
183	C₁₁×#103	C₂³	1	2	yes	—
184	C₁₁×#103	C₂³	1	4	yes	—
185	C₁₁×#103	C₂³	1	4	yes	—
186	C₁₁×#103	C₂³	1	4	yes	—
187	C₁₁×#103	C₂³	1	2	yes	—
188	C₁₁×#102	C₂³	1	2	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	#60711	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
200	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
201	C₁₁×#41	—	2	4	no	—
202	C₁₁×#41	—	2	4	no	—
203	C₂×Q₈×C₁₁	—	2	2	no	—
204	C₂×Q₈×C₁₁	—	2	4	no	—
205	C₂×Q₈×C₁₁	—	2	4	no	—
206	C₂×Q₈×C₁₁	—	2	4	no	—
207	C₂×Q₈×C₁₁	C₂⁴	1	4	yes	—
208	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
209	C₂×D₄×C₁₁	—	2	2	no	—
210	C₂×D₄×C₁₁	—	2	2	no	—
211	C₂×D₄×C₁₁	—	2	2	no	—
212	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
213	C₂²×C₄×C₁₁	—	2	2	no	—
214	C₂²×C₄×C₁₁	—	2	2	no	—
215	C₂²×C₄×C₁₁	—	2	2	no	—
216	C₂²×C₄×C₁₁	—	2	2	no	—
217	C₂²×C₄×C₁₁	—	2	2	no	—
218	C₂²×C₄×C₁₁	—	2	4	no	—
219	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
220	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
221	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
222	C₂²×C₄×C₁₁	C₂×D₄	1	4	yes	—
223	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
224	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
225	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
226	C₁₁×Q₁₆	—	2	4	no	—
227	C₁₁×Q₁₆	—	2	4	no	—
228	C₁₁×Q₁₆	—	2	2	no	—
229	C₁₁×Q₁₆	—	2	8	no	—
230	C₁₁×SD₁₆	—	2	4	no	—
231	C₁₁×SD₁₆	—	2	8	no	—
232	C₁₁×D₈	—	2	2	no	—
233	C₁₁×M₁₆	—	2	4	no	—
234	C₁₁×M₁₆	—	2	2	no	—
235	C₁₁×M₁₆	—	2	2	no	—
236	C₁₁×M₁₆	—	2	2	no	—
237	C₁₁×M₁₆	—	2	2	no	—
238	C₁₁×M₁₆	—	2	2	no	—
239	C₁₁×M₁₆	#41	1	4	yes	—
240	C₂×C₈×C₁₁	—	2	4	no	—
241	C₂×C₈×C₁₁	—	2	2	no	—
242	C₂×C₈×C₁₁	#41	1	4	yes	—
243	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
244	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
245	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
246	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
247	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
248	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
249	C₁₁×C₄⋊C₄	—	2	2	no	—
250	C₁₁×C₄⋊C₄	—	2	4	no	—
251	C₁₁×C₄⋊C₄	—	2	4	no	—
252	C₁₁×C₄⋊C₄	—	2	4	no	—
253	C₁₁×C₄⋊C₄	—	2	4	no	—
254	C₁₁×C₄⋊C₄	—	2	4	no	—
255	C₁₁×C₄⋊C₄	—	2	4	no	—
256	C₁₁×C₄⋊C₄	—	2	4	no	—
257	C₁₁×C₄⋊C₄	—	2	4	no	—
258	C₁₁×C₄⋊C₄	—	2	2	no	—
259	C₁₁×C₄⋊C₄	—	2	4	no	—
260	C₁₁×C₄⋊C₄	—	2	2	no	—
261	C₁₁×C₄⋊C₄	—	2	4	no	—
262	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
263	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
264	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
265	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
266	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
267	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
268	C₁₁×C₂²⋊C₄	—	2	4	no	—
269	C₁₁×C₂²⋊C₄	—	2	4	no	—
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	2	no	—
274	C₁₁×C₂²⋊C₄	—	2	4	no	—
275	C₁₁×C₂²⋊C₄	—	2	4	no	—
276	C₁₁×C₂²⋊C₄	—	2	2	no	—
277	C₁₁×C₂²⋊C₄	—	2	4	no	—
278	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
279	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
280	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
281	C₄²×C₁₁	—	2	4	no	—
282	C₄²×C₁₁	—	2	4	no	—
283	C₄²×C₁₁	—	2	4	no	—
284	C₄²×C₁₁	—	2	2	no	—
285	C₄²×C₁₁	C₂×D₄	1	4	yes	—
286	C₄²×C₁₁	C₂⁴	1	2	yes	—
287	C₄²×C₁₁	C₂⁴	1	2	yes	—
288	#3495	C₂×C₁₁	1	2	yes	complemented
289	#3185	C₂×C₁₁	1	2	yes	complemented
290	#3183	C₂×C₁₁	1	2	yes	complemented
291	#3178	C₂×C₁₁	1	4	yes	complemented
292	#3177	C₂×C₁₁	1	2	yes	complemented
293	#3173	C₂×C₁₁	1	2	yes	complemented
294	#3172	C₂×C₁₁	1	4	yes	complemented
295	#3163	C₂×C₁₁	1	1	yes	characteristic, complemented
296	#3156	C₂×C₁₁	1	1	yes	characteristic, complemented
297	#3137	C₂×C₁₁	1	2	yes	complemented
298	#3056	C₂×C₁₁	1	2	yes	complemented
299	#3054	C₂×C₁₁	1	1	yes	characteristic
300	C₂×#470	C₂×C₁₁	1	1	yes	characteristic, complemented
301	#2952	C₂×C₁₁	1	1	yes	characteristic, complemented
302	#2950	C₂×C₁₁	1	1	yes	characteristic, complemented
303	#2947	C₂×C₁₁	1	2	yes	complemented
304	#2873	C₂×C₁₁	1	1	yes	characteristic, complemented
305	C₂³×C₁₁	—	2	2	no	—
306	C₂³×C₁₁	—	2	2	no	—
307	C₂³×C₁₁	—	4	2	no	—
308	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
309	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
310	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
311	Q₈×C₁₁	—	2	4	no	—
312	Q₈×C₁₁	—	2	2	no	—
313	Q₈×C₁₁	—	2	4	no	—
314	Q₈×C₁₁	—	2	2	no	—
315	Q₈×C₁₁	—	4	4	no	—
316	Q₈×C₁₁	—	8	4	no	—
317	D₄×C₁₁	—	2	2	no	—
318	D₄×C₁₁	—	2	2	no	—
319	D₄×C₁₁	—	4	4	no	—
320	D₄×C₁₁	—	4	4	no	—
321	D₄×C₁₁	—	8	2	no	—
322	C₂×C₄×C₁₁	—	2	2	no	—
323	C₂×C₄×C₁₁	—	2	2	no	—
324	C₂×C₄×C₁₁	—	2	2	no	—
325	C₂×C₄×C₁₁	—	2	1	no	—
326	C₂×C₄×C₁₁	—	2	1	no	—
327	C₂×C₄×C₁₁	—	2	1	no	—
328	C₂×C₄×C₁₁	—	2	1	no	—
329	C₂×C₄×C₁₁	—	2	2	no	—
330	C₂×C₄×C₁₁	—	2	2	no	—
331	C₂×C₄×C₁₁	—	2	4	no	—
332	C₂×C₄×C₁₁	—	2	2	no	—
333	C₂×C₄×C₁₁	—	2	4	no	—
334	C₂×C₄×C₁₁	—	4	4	no	—
335	C₂×C₄×C₁₁	—	4	4	no	—
336	C₂×C₄×C₁₁	—	4	4	no	—
337	C₂×C₄×C₁₁	—	8	4	no	—
338	C₂×C₄×C₁₁	—	8	2	no	—
339	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
340	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
341	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
342	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
343	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
344	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
345	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
346	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
347	C₈×C₁₁	—	2	2	no	—
348	C₈×C₁₁	—	2	1	no	—
349	C₈×C₁₁	—	2	1	no	—
350	C₈×C₁₁	C₂×#41	1	4	yes	—
351	C₈×C₁₁	C₂×#41	1	2	yes	—
352	C₈×C₁₁	C₂×#41	1	2	yes	—
353	C₂×#137	C₂²×C₁₁	1	2	yes	—
354	C₂×#135	C₂²×C₁₁	1	1	yes	characteristic
355	C₂²×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic
356	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
357	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
358	#556	—	2	2	no	—
359	#554	—	2	2	no	—
360	#552	—	2	4	no	—
361	#552	—	2	2	no	—
362	#552	—	2	2	no	—
363	#551	—	2	4	no	—
364	#544	C₂²×C₁₁	1	2	yes	—
365	#542	C₂²×C₁₁	1	4	yes	—
366	#541	C₂²×C₁₁	1	4	yes	—
367	#536	C₂²×C₁₁	1	2	yes	—
368	#533	C₂²×C₁₁	1	4	yes	—
369	#529	C₂²×C₁₁	1	4	yes	—
370	#525	C₂²×C₁₁	1	2	yes	—
371	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
372	#520	C₂²×C₁₁	1	2	yes	—
373	#519	C₂²×C₁₁	1	2	yes	—
374	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
375	#501	C₂²×C₁₁	1	4	yes	complemented
376	#499	C₂²×C₁₁	1	2	yes	complemented
377	#498	C₂²×C₁₁	1	2	yes	complemented
378	#497	C₂²×C₁₁	1	4	yes	complemented
379	#495	C₂²×C₁₁	1	2	yes	complemented
380	#494	C₂²×C₁₁	1	2	yes	complemented
381	#491	C₂²×C₁₁	1	4	yes	complemented
382	#489	C₂²×C₁₁	1	4	yes	complemented
383	#488	C₂²×C₁₁	1	4	yes	complemented
384	#487	C₂²×C₁₁	1	4	yes	complemented
385	#470	C₂²×C₁₁	1	2	yes	—
386	#470	C₂²×C₁₁	1	4	yes	—
387	#470	C₂²×C₁₁	1	2	yes	—
388	#470	C₂²×C₁₁	1	1	yes	characteristic
389	#470	C₂²×C₁₁	1	2	yes	—
390	#470	C₂²×C₁₁	1	2	yes	—
391	#470	C₂²×C₁₁	1	1	yes	characteristic
392	#469	C₂²×C₁₁	1	1	yes	characteristic
393	#469	C₂²×C₁₁	1	1	yes	characteristic
394	#468	C₂²×C₁₁	1	2	yes	—
395	#468	C₂²×C₁₁	1	4	yes	—
396	#468	C₂²×C₁₁	1	2	yes	—
397	#467	C₂²×C₁₁	1	4	yes	—
398	#465	C₂²×C₁₁	1	4	yes	—
399	#442	C₂²×C₁₁	1	2	yes	complemented
400	#441	C₂²×C₁₁	1	2	yes	complemented
401	#441	C₂²×C₁₁	1	2	yes	complemented
402	#441	C₂²×C₁₁	1	2	yes	complemented
403	#441	C₂²×C₁₁	1	4	yes	complemented
404	#440	C₂²×C₁₁	1	4	yes	complemented
405	C₄×Q₁₆	C₂²×C₁₁	1	4	yes	complemented
406	C₄×Q₁₆	C₂²×C₁₁	1	4	yes	complemented
407	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
408	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
409	#428	C₂²×C₁₁	1	2	yes	—
410	#427	C₂²×C₁₁	1	1	yes	characteristic
411	C₂×#106	C₂²×C₁₁	1	1	yes	characteristic
412	#419	C₂²×C₁₁	1	2	yes	—
413	#417	C₂²×C₁₁	1	2	yes	—
414	#416	C₂²×C₁₁	1	2	yes	—
415	C₂×#103	C₂²×C₁₁	1	2	yes	—
416	#405	C₂²×C₁₁	1	1	yes	characteristic
417	#405	C₂²×C₁₁	1	1	yes	characteristic
418	#405	C₂²×C₁₁	1	2	yes	—
419	#405	C₂²×C₁₁	1	2	yes	—
420	#405	C₂²×C₁₁	1	1	yes	characteristic
421	#405	C₂²×C₁₁	1	1	yes	characteristic
422	C₄×M₁₆	C₂²×C₁₁	1	2	yes	—
423	C₄×M₁₆	C₂²×C₁₁	1	2	yes	—
424	C₂²×C₁₁	—	2	2	no	—
425	C₂²×C₁₁	—	2	2	no	—
426	C₂²×C₁₁	—	2	2	no	—
427	C₂²×C₁₁	—	2	1	no	—
428	C₂²×C₁₁	—	2	1	no	—
429	C₂²×C₁₁	—	4	2	no	—
430	C₂²×C₁₁	—	4	2	no	—
431	C₂²×C₁₁	—	4	2	no	—
432	C₂²×C₁₁	—	8	2	no	—
433	C₂²×C₁₁	#532	1	2	yes	—
434	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
435	C₄×C₁₁	—	2	4	no	—
436	C₄×C₁₁	—	2	4	no	—
437	C₄×C₁₁	—	2	1	no	—
438	C₄×C₁₁	—	2	1	no	—
439	C₄×C₁₁	—	4	4	no	—
440	C₄×C₁₁	—	4	2	no	—
441	C₄×C₁₁	—	4	2	no	—
442	C₄×C₁₁	—	4	2	no	—
443	C₄×C₁₁	—	4	4	no	—
444	C₄×C₁₁	#532	1	2	yes	—
445	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
446	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
447	C₂×#41	C₂³×C₁₁	1	2	yes	—
448	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
449	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
450	#137	—	2	8	no	—
451	#135	—	2	4	no	—
452	C₂×Q₁₆	—	2	4	no	—
453	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
454	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
455	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
456	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
457	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
458	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
459	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
460	C₂×M₁₆	—	2	4	no	—
461	C₂×M₁₆	—	2	4	no	—
462	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
463	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
464	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
465	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
466	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
467	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
468	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
469	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
470	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
471	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
472	C₄⋊Q₈	—	2	2	no	—
473	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
474	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
475	#126	—	2	4	no	—
476	#126	—	2	4	no	—
477	#126	—	2	4	no	—
478	#126	—	2	4	no	—
479	#125	—	2	4	no	—
480	#125	—	2	4	no	—
481	#125	—	2	2	no	—
482	#125	—	2	4	no	—
483	#125	C₂³×C₁₁	1	4	yes	—
484	#124	—	2	4	no	—
485	#124	C₂³×C₁₁	1	4	yes	—
486	#123	—	2	2	no	—
487	#123	—	2	4	no	—
488	#123	—	2	4	no	—
489	#123	—	2	4	no	—
490	C₂²⋊Q₈	—	2	2	no	—
491	C₂²⋊Q₈	—	2	2	no	—
492	C₂²⋊Q₈	—	2	4	no	—
493	C₂²⋊Q₈	—	2	2	no	—
494	C₂²⋊Q₈	—	2	2	no	—
495	C₂²⋊Q₈	—	2	4	no	—
496	C₂²⋊Q₈	—	2	4	no	—
497	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
498	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
499	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
500	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
501	#121	C₂³×C₁₁	1	2	yes	—
502	#121	C₂³×C₁₁	1	2	yes	—
503	#120	—	2	2	no	—
504	C₄×Q₈	—	2	2	no	—
505	C₄×Q₈	—	2	2	no	—
506	C₄×Q₈	—	2	4	no	—
507	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
508	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
509	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
510	C₄×D₄	—	2	2	no	—
511	C₄×D₄	—	2	2	no	—
512	C₄×D₄	—	2	4	no	—
513	C₄×D₄	—	2	4	no	—
514	C₄×D₄	C₂³×C₁₁	1	4	yes	—
515	#117	—	2	4	no	—
516	#117	—	2	2	no	—
517	#117	—	2	4	no	—
518	#117	—	2	4	no	—
519	#117	D₄×C₁₁	1	2	yes	—
520	#117	D₄×C₁₁	1	2	yes	—
521	#117	C₂³×C₁₁	1	2	yes	—
522	#117	C₂³×C₁₁	1	1	yes	characteristic
523	#117	C₂³×C₁₁	1	1	yes	characteristic
524	#117	C₂³×C₁₁	1	2	yes	—
525	C₂×C₄⋊C₄	—	2	2	no	—
526	C₂×C₄⋊C₄	—	2	2	no	—
527	C₂×C₄⋊C₄	D₄×C₁₁	1	2	yes	—
528	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
529	C₂×C₂²⋊C₄	—	2	2	no	—
530	C₂×C₂²⋊C₄	D₄×C₁₁	1	2	yes	—
531	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
532	#107	C₂³×C₁₁	1	2	yes	—
533	#107	C₂³×C₁₁	1	4	yes	—
534	#106	C₂³×C₁₁	1	2	yes	—
535	#106	C₂³×C₁₁	1	2	yes	—
536	#106	C₂³×C₁₁	1	1	yes	characteristic
537	#106	C₂³×C₁₁	1	1	yes	characteristic
538	#106	C₂³×C₁₁	1	4	yes	—
539	#103	C₂³×C₁₁	1	4	yes	—
540	#103	C₂³×C₁₁	1	4	yes	—
541	#103	C₂³×C₁₁	1	2	yes	—
542	#103	C₂³×C₁₁	1	2	yes	—
543	#103	C₂³×C₁₁	1	4	yes	—
544	#103	C₂³×C₁₁	1	4	yes	—
545	#103	C₂³×C₁₁	1	4	yes	—
546	#102	C₂³×C₁₁	1	2	yes	—
547	#102	C₂³×C₁₁	1	2	yes	—
548	#102	C₂³×C₁₁	1	4	yes	—
549	#97	C₂³×C₁₁	1	2	yes	—
550	#97	C₂³×C₁₁	1	2	yes	—
551	#97	C₂³×C₁₁	1	2	yes	—
552	#97	C₂³×C₁₁	1	2	yes	—
553	C₄×C₈	C₂³×C₁₁	1	2	yes	—
554	C₄×C₈	C₂³×C₁₁	1	2	yes	—
555	C₄×C₈	C₂³×C₁₁	1	2	yes	—
556	C₄×C₈	C₂³×C₁₁	1	2	yes	—
557	C₂×C₁₁	—	2	2	no	—
558	C₂×C₁₁	—	4	1	no	—
559	C₂×C₁₁	—	4	1	no	—
560	C₂×C₁₁	—	8	2	no	—
561	C₂×C₁₁	C₂×#532	1	1	yes	characteristic
562	C₂×C₁₁	#3586	1	2	yes	—
563	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
564	#41	—	2	4	no	—
565	#41	—	2	4	no	—
566	C₂×Q₈	—	2	2	no	—
567	C₂×Q₈	—	2	4	no	—
568	C₂×Q₈	—	2	4	no	—
569	C₂×Q₈	—	2	4	no	—
570	C₂×Q₈	C₂⁴×C₁₁	1	4	yes	—
571	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
572	C₂×D₄	—	2	2	no	—
573	C₂×D₄	—	2	2	no	—
574	C₂×D₄	—	2	2	no	—
575	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
576	C₂²×C₄	—	2	2	no	—
577	C₂²×C₄	—	2	2	no	—
578	C₂²×C₄	—	2	2	no	—
579	C₂²×C₄	—	2	2	no	—
580	C₂²×C₄	—	2	2	no	—
581	C₂²×C₄	—	2	4	no	—
582	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
583	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
584	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
585	C₂²×C₄	C₂×D₄×C₁₁	1	4	yes	—
586	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
587	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
588	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
589	Q₁₆	—	2	4	no	—
590	Q₁₆	—	2	4	no	—
591	Q₁₆	—	2	2	no	—
592	Q₁₆	—	2	8	no	—
593	SD₁₆	—	2	4	no	—
594	SD₁₆	—	2	8	no	—
595	D₈	—	2	2	no	—
596	M₁₆	—	2	2	no	—
597	M₁₆	—	2	4	no	—
598	M₁₆	—	2	2	no	—
599	M₁₆	—	2	2	no	—
600	M₁₆	—	2	2	no	—
601	M₁₆	—	2	2	no	—
602	M₁₆	C₁₁×#41	1	4	yes	—
603	C₂×C₈	—	2	2	no	—
604	C₂×C₈	—	2	4	no	—
605	C₂×C₈	C₁₁×#41	1	4	yes	—
606	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
607	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
608	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
609	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
610	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
611	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
612	C₄⋊C₄	—	2	2	no	—
613	C₄⋊C₄	—	2	4	no	—
614	C₄⋊C₄	—	2	4	no	—
615	C₄⋊C₄	—	2	4	no	—
616	C₄⋊C₄	—	2	4	no	—
617	C₄⋊C₄	—	2	4	no	—
618	C₄⋊C₄	—	2	4	no	—
619	C₄⋊C₄	—	2	4	no	—
620	C₄⋊C₄	—	2	4	no	—
621	C₄⋊C₄	—	2	2	no	—
622	C₄⋊C₄	—	2	4	no	—
623	C₄⋊C₄	—	2	2	no	—
624	C₄⋊C₄	—	2	4	no	—
625	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
626	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
627	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
628	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
629	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
630	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
631	C₂²⋊C₄	—	2	4	no	—
632	C₂²⋊C₄	—	2	4	no	—
633	C₂²⋊C₄	—	2	2	no	—
634	C₂²⋊C₄	—	2	2	no	—
635	C₂²⋊C₄	—	2	2	no	—
636	C₂²⋊C₄	—	2	2	no	—
637	C₂²⋊C₄	—	2	4	no	—
638	C₂²⋊C₄	—	2	4	no	—
639	C₂²⋊C₄	—	2	2	no	—
640	C₂²⋊C₄	—	2	4	no	—
641	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
642	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
643	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
644	C₄²	—	2	4	no	—
645	C₄²	—	2	4	no	—
646	C₄²	—	2	4	no	—
647	C₄²	—	2	2	no	—
648	C₄²	C₂×D₄×C₁₁	1	4	yes	—
649	C₄²	C₂⁴×C₁₁	1	2	yes	—
650	C₄²	C₂⁴×C₁₁	1	2	yes	—
651	C₁₁	#60711	1	1	yes	characteristic, direct product factor, Sylow
652	C₂³	—	2	2	no	—
653	C₂³	—	2	2	no	—
654	C₂³	—	4	2	no	—
655	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
656	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
657	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
658	Q₈	—	2	4	no	—
659	Q₈	—	2	2	no	—
660	Q₈	—	2	4	no	—
661	Q₈	—	2	2	no	—
662	Q₈	—	4	4	no	—
663	Q₈	—	8	4	no	—
664	D₄	—	2	2	no	—
665	D₄	—	2	2	no	—
666	D₄	—	4	4	no	—
667	D₄	—	4	4	no	—
668	D₄	—	8	2	no	—
669	C₂×C₄	—	2	2	no	—
670	C₂×C₄	—	2	2	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	1	no	—
673	C₂×C₄	—	2	1	no	—
674	C₂×C₄	—	2	1	no	—
675	C₂×C₄	—	2	1	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	2	2	no	—
678	C₂×C₄	—	2	4	no	—
679	C₂×C₄	—	2	2	no	—
680	C₂×C₄	—	2	4	no	—
681	C₂×C₄	—	4	4	no	—
682	C₂×C₄	—	4	4	no	—
683	C₂×C₄	—	4	4	no	—
684	C₂×C₄	—	8	4	no	—
685	C₂×C₄	—	8	2	no	—
686	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
687	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
688	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
689	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
690	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
691	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
692	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
693	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
694	C₈	—	2	1	no	—
695	C₈	—	2	1	no	—
696	C₈	—	2	2	no	—
697	C₈	C₂×C₁₁×#41	1	4	yes	—
698	C₈	C₂×C₁₁×#41	1	2	yes	—
699	C₈	C₂×C₁₁×#41	1	2	yes	—
700	C₂²	—	2	2	no	—
701	C₂²	—	2	1	no	—
702	C₂²	—	2	1	no	—
703	C₂²	—	2	2	no	—
704	C₂²	—	2	2	no	—
705	C₂²	—	4	2	no	—
706	C₂²	—	4	2	no	—
707	C₂²	—	4	2	no	—
708	C₂²	—	8	2	no	—
709	C₂²	C₁₁×#532	1	2	yes	—
710	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
711	C₄	—	2	1	no	—
712	C₄	—	2	1	no	—
713	C₄	—	2	4	no	—
714	C₄	—	2	4	no	—
715	C₄	—	4	2	no	—
716	C₄	—	4	4	no	—
717	C₄	—	4	4	no	—
718	C₄	—	4	2	no	—
719	C₄	—	4	2	no	—
720	C₄	C₁₁×#532	1	2	yes	—
721	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
722	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
723	C₂	—	2	2	no	—
724	C₂	—	4	1	no	—
725	C₂	—	4	1	no	—
726	C₂	—	8	2	no	—
727	C₂	C₂×C₁₁×#532	1	1	yes	characteristic
728	C₂	C₁₁×#3586	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
prime radical	C₁₁×#3054	C₂
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×#3495	C₂	semidirect
2. C₁₁×#3185	C₂	semidirect
3. C₁₁×#3183	C₂	semidirect
4. C₁₁×#3178	C₂	semidirect
5. C₁₁×#3177	C₂	semidirect
6. C₁₁×#3173	C₂	semidirect
7. C₁₁×#3172	C₂	semidirect
8. C₁₁×#3163	C₂	semidirect
9. C₁₁×#3156	C₂	semidirect
10. C₁₁×#3137	C₂	semidirect
11. C₁₁×#3056	C₂	semidirect
13. C₂×C₁₁×#470	C₂	semidirect
14. C₁₁×#2952	C₂	semidirect
15. C₁₁×#2950	C₂	semidirect
16. C₁₁×#2947	C₂	semidirect
17. C₁₁×#2873	C₂	semidirect
40. C₁₁×#501	C₂²	semidirect
41. C₁₁×#499	C₂²	semidirect
42. C₁₁×#498	C₂²	semidirect
43. C₁₁×#497	C₂²	semidirect
44. C₁₁×#495	C₂²	semidirect
45. C₁₁×#494	C₂²	semidirect
46. C₁₁×#491	C₂²	semidirect
47. C₁₁×#489	C₂²	semidirect
48. C₁₁×#488	C₂²	semidirect
49. C₁₁×#487	C₂²	semidirect
64. C₁₁×#442	C₂²	semidirect
65. C₁₁×#441	C₂²	semidirect
66. C₁₁×#441	C₂²	semidirect
67. C₁₁×#441	C₂²	semidirect
68. C₁₁×#441	C₂²	semidirect
69. C₁₁×#440	C₂²	semidirect
70. C₄×C₁₁×Q₁₆	C₂²	semidirect
71. C₄×C₁₁×Q₁₆	C₂²	semidirect
72. C₄×C₁₁×SD₁₆	C₂²	semidirect
73. C₄×C₁₁×SD₁₆	C₂²	semidirect
199. #60711	C₁₁	direct (N × H)
288. #3495	C₂×C₁₁	semidirect
289. #3185	C₂×C₁₁	semidirect
290. #3183	C₂×C₁₁	semidirect
291. #3178	C₂×C₁₁	semidirect
292. #3177	C₂×C₁₁	semidirect
293. #3173	C₂×C₁₁	semidirect
294. #3172	C₂×C₁₁	semidirect
295. #3163	C₂×C₁₁	semidirect
296. #3156	C₂×C₁₁	semidirect
297. #3137	C₂×C₁₁	semidirect
298. #3056	C₂×C₁₁	semidirect
300. C₂×#470	C₂×C₁₁	semidirect
301. #2952	C₂×C₁₁	semidirect
302. #2950	C₂×C₁₁	semidirect
303. #2947	C₂×C₁₁	semidirect
304. #2873	C₂×C₁₁	semidirect
375. #501	C₂²×C₁₁	semidirect
376. #499	C₂²×C₁₁	semidirect
377. #498	C₂²×C₁₁	semidirect
378. #497	C₂²×C₁₁	semidirect
379. #495	C₂²×C₁₁	semidirect
380. #494	C₂²×C₁₁	semidirect
381. #491	C₂²×C₁₁	semidirect
382. #489	C₂²×C₁₁	semidirect
383. #488	C₂²×C₁₁	semidirect
384. #487	C₂²×C₁₁	semidirect
399. #442	C₂²×C₁₁	semidirect
400. #441	C₂²×C₁₁	semidirect
401. #441	C₂²×C₁₁	semidirect
402. #441	C₂²×C₁₁	semidirect
403. #441	C₂²×C₁₁	semidirect
404. #440	C₂²×C₁₁	semidirect
405. C₄×Q₁₆	C₂²×C₁₁	semidirect
406. C₄×Q₁₆	C₂²×C₁₁	semidirect
407. C₄×SD₁₆	C₂²×C₁₁	semidirect
408. C₄×SD₁₆	C₂²×C₁₁	semidirect
651. C₁₁	#60711	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×#3495	2
C₁₁×#3185	2
C₁₁×#3183	2
C₁₁×#3178	2
C₁₁×#3177	2
C₁₁×#3173	2
C₁₁×#3172	2
C₁₁×#3163	2
C₁₁×#3156	2
C₁₁×#3137	2
C₁₁×#3056	2
C₁₁×#3054	2
C₂×C₁₁×#470	2
C₁₁×#2952	2
C₁₁×#2950	2
C₁₁×#2947	2
C₁₁×#2873	2
#60711	11

Subgroups — C11×#60711 #14637904

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60711 #14637904