Subgroups — C₁₁×#60734 #14637927

Order 2816.

2394 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#525	C₂	1	2	yes	maximal, complemented
2	C₁₁×#3191	C₂	1	4	yes	maximal, complemented
3	C₁₁×#3190	C₂	1	4	yes	maximal, complemented
4	C₁₁×#3189	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#3188	C₂	1	4	yes	maximal, complemented
6	C₁₁×#3187	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3186	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#3091	C₂	1	4	yes	maximal, complemented
9	C₁₁×#3050	C₂	1	4	yes	maximal, complemented
10	C₁₁×#3002	C₂	1	4	yes	maximal, complemented
11	C₂²×C₁₁×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×C₁₁×#41	C₂²	1	2	yes	complemented
13	C₂⁴×C₄×C₁₁	C₂²	1	1	yes	characteristic
14	C₂×C₁₁×#135	C₂²	1	4	yes	complemented
15	C₂³×C₈×C₁₁	C₂²	1	2	yes	complemented
16	C₁₁×#525	—	2	2	no	—
17	C₁₁×#525	—	2	2	no	—
18	C₁₁×#525	—	2	2	no	—
19	C₁₁×#525	—	2	2	no	—
20	C₁₁×#525	C₂²	1	4	yes	—
21	C₁₁×#525	C₂²	1	4	yes	—
22	C₁₁×#525	C₂²	1	4	yes	complemented
23	C₁₁×#525	C₂²	1	4	yes	complemented
24	C₂×C₁₁×#123	—	2	2	no	—
25	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
26	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	complemented
27	C₂×C₁₁×#121	C₂²	1	2	yes	—
28	C₂×C₁₁×#121	C₂²	1	2	yes	complemented
29	C₂×C₁₁×#120	—	2	2	no	—
30	C₂×C₄×D₄×C₁₁	—	2	2	no	—
31	C₂×C₄×D₄×C₁₁	—	2	2	no	—
32	C₂×C₁₁×#117	C₂²	1	2	yes	complemented
33	C₁₁×#485	C₂²	1	8	yes	complemented
34	C₁₁×#484	C₂²	1	4	yes	complemented
35	C₁₁×#483	C₂²	1	4	yes	complemented
36	C₁₁×#482	C₂²	1	8	yes	complemented
37	C₁₁×#481	C₂²	1	4	yes	complemented
38	C₁₁×#480	C₂²	1	4	yes	complemented
39	C₁₁×#467	C₂²	1	4	yes	complemented
40	C₁₁×#467	C₂²	1	4	yes	complemented
41	C₁₁×#466	C₂²	1	4	yes	complemented
42	C₁₁×#466	C₂²	1	4	yes	complemented
43	C₁₁×#465	C₂²	1	8	yes	complemented
44	C₁₁×#465	C₂²	1	8	yes	complemented
45	C₁₁×#452	C₂²	1	8	yes	complemented
46	C₁₁×#451	C₂²	1	4	yes	complemented
47	C₁₁×#450	C₂²	1	4	yes	complemented
48	C₁₁×#449	C₂²	1	8	yes	complemented
49	C₁₁×#448	C₂²	1	4	yes	complemented
50	C₁₁×#447	C₂²	1	4	yes	complemented
51	C₁₁×#427	C₂²	1	4	yes	complemented
52	C₁₁×#416	C₂²	1	8	yes	complemented
53	C₂×C₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
54	C₂×C₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
55	C₂×C₁₁×C₂²⋊C₈	C₂²	1	4	yes	complemented
56	C₂×C₁₁×C₂²⋊C₈	C₂²	1	2	yes	complemented
57	C₂×C₁₁×C₂²⋊C₈	C₂²	1	4	yes	complemented
58	C₂⁵×C₁₁	D₄	1	1	yes	characteristic
59	C₂×C₁₁×#41	—	2	2	no	—
60	C₂×C₁₁×#41	—	2	2	no	—
61	C₂×C₁₁×#41	—	4	8	no	—
62	C₂×C₁₁×#41	C₂³	1	4	yes	—
63	C₂×C₁₁×#41	C₂³	1	4	yes	—
64	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
65	C₂²×D₄×C₁₁	—	2	2	no	—
66	C₂²×D₄×C₁₁	—	2	2	no	—
67	C₂²×D₄×C₁₁	—	2	2	no	—
68	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
69	C₂³×C₄×C₁₁	—	2	2	no	—
70	C₂³×C₄×C₁₁	—	4	4	no	—
71	C₂³×C₄×C₁₁	D₄	1	1	yes	characteristic
72	C₂³×C₄×C₁₁	D₄	1	2	yes	—
73	C₂³×C₄×C₁₁	D₄	1	2	yes	—
74	C₂³×C₄×C₁₁	D₄	1	1	yes	characteristic
75	C₂³×C₄×C₁₁	D₄	1	1	yes	characteristic
76	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
77	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
78	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
79	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
80	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
81	C₁₁×#135	—	4	8	no	—
82	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	complemented
83	C₂×C₁₁×SD₁₆	C₂³	1	8	yes	complemented
84	C₂×C₁₁×D₈	C₂³	1	4	yes	complemented
85	C₂²×C₈×C₁₁	—	4	4	no	—
86	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
87	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
88	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
89	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
90	C₁₁×#123	—	2	4	no	—
91	C₁₁×#123	—	2	4	no	—
92	C₁₁×#123	—	2	4	no	—
93	C₁₁×#123	—	2	4	no	—
94	C₁₁×C₂²⋊Q₈	—	2	2	no	—
95	C₁₁×C₂²⋊Q₈	—	2	2	no	—
96	C₁₁×C₂²⋊Q₈	—	2	2	no	—
97	C₁₁×C₂²⋊Q₈	—	2	2	no	—
98	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
99	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
100	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
101	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
102	C₁₁×#121	—	2	2	no	—
103	C₁₁×#121	—	2	2	no	—
104	C₁₁×#121	—	2	2	no	—
105	C₁₁×#121	—	2	2	no	—
106	C₁₁×#121	C₂³	1	4	yes	—
107	C₁₁×#121	C₂³	1	4	yes	—
108	C₁₁×#121	C₂³	1	4	yes	—
109	C₁₁×#121	C₂³	1	4	yes	—
110	C₁₁×#120	—	2	4	no	—
111	C₁₁×#120	—	2	4	no	—
112	C₁₁×#120	—	2	4	no	—
113	C₁₁×#120	—	2	4	no	—
114	C₄×D₄×C₁₁	—	2	4	no	—
115	C₄×D₄×C₁₁	—	2	4	no	—
116	C₄×D₄×C₁₁	—	2	4	no	—
117	C₄×D₄×C₁₁	—	2	4	no	—
118	C₄×D₄×C₁₁	—	2	4	no	—
119	C₄×D₄×C₁₁	—	2	4	no	—
120	C₄×D₄×C₁₁	—	2	4	no	—
121	C₄×D₄×C₁₁	—	2	4	no	—
122	C₁₁×#117	—	2	2	no	—
123	C₁₁×#117	—	2	2	no	—
124	C₁₁×#117	C₂³	1	4	yes	—
125	C₁₁×#117	C₂³	1	4	yes	—
126	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
127	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
128	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
129	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
130	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
131	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
132	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
133	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
134	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
135	C₂×C₄²×C₁₁	—	2	2	no	—
136	C₁₁×#107	C₂³	1	4	yes	complemented
137	C₁₁×#107	C₂³	1	4	yes	complemented
138	C₁₁×#106	C₂³	1	8	yes	complemented
139	C₁₁×#103	C₂³	1	8	yes	complemented
140	C₁₁×#103	C₂³	1	8	yes	complemented
141	C₁₁×#102	C₂³	1	8	yes	complemented
142	C₁₁×#102	C₂³	1	8	yes	complemented
143	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
144	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
145	C₁₁×C₂²⋊C₈	C₂³	1	8	yes	—
146	#60734	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
147	C₂⁴×C₁₁	—	2	4	no	—
148	C₂⁴×C₁₁	—	2	2	no	—
149	C₂⁴×C₁₁	—	4	2	no	—
150	C₂⁴×C₁₁	—	4	2	no	—
151	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
152	C₂⁴×C₁₁	C₂×D₄	1	2	yes	—
153	C₂⁴×C₁₁	C₂×D₄	1	2	yes	—
154	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
155	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
156	C₁₁×#41	—	2	16	no	—
157	C₁₁×#41	—	4	8	no	—
158	C₁₁×#41	—	4	8	no	—
159	C₁₁×#41	—	4	8	no	—
160	C₂×Q₈×C₁₁	—	2	2	no	—
161	C₂×Q₈×C₁₁	—	4	4	no	—
162	C₂×Q₈×C₁₁	C₂⁴	1	4	yes	—
163	C₂×D₄×C₁₁	—	2	4	no	—
164	C₂×D₄×C₁₁	—	2	4	no	—
165	C₂×D₄×C₁₁	—	2	4	no	—
166	C₂×D₄×C₁₁	—	2	4	no	—
167	C₂×D₄×C₁₁	—	2	4	no	—
168	C₂×D₄×C₁₁	—	2	4	no	—
169	C₂×D₄×C₁₁	—	2	2	no	—
170	C₂×D₄×C₁₁	—	4	4	no	—
171	C₂×D₄×C₁₁	—	4	8	no	—
172	C₂×D₄×C₁₁	—	4	8	no	—
173	C₂×D₄×C₁₁	—	4	8	no	—
174	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
175	C₂²×C₄×C₁₁	—	2	4	no	—
176	C₂²×C₄×C₁₁	—	2	8	no	—
177	C₂²×C₄×C₁₁	—	2	2	no	—
178	C₂²×C₄×C₁₁	—	2	2	no	—
179	C₂²×C₄×C₁₁	—	2	2	no	—
180	C₂²×C₄×C₁₁	—	2	4	no	—
181	C₂²×C₄×C₁₁	—	2	4	no	—
182	C₂²×C₄×C₁₁	—	4	2	no	—
183	C₂²×C₄×C₁₁	—	4	4	no	—
184	C₂²×C₄×C₁₁	—	4	2	no	—
185	C₂²×C₄×C₁₁	—	4	2	no	—
186	C₂²×C₄×C₁₁	—	4	4	no	—
187	C₂²×C₄×C₁₁	—	4	2	no	—
188	C₂²×C₄×C₁₁	—	4	4	no	—
189	C₂²×C₄×C₁₁	—	4	2	no	—
190	C₂²×C₄×C₁₁	—	4	8	no	—
191	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
192	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
193	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
194	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
195	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
196	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
197	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
198	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
199	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
200	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
201	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
202	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
203	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
204	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
205	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
206	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
207	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
208	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
209	C₁₁×Q₁₆	—	4	4	no	—
210	C₁₁×SD₁₆	—	4	8	no	—
211	C₁₁×D₈	—	4	4	no	—
212	C₂×C₈×C₁₁	—	2	8	no	—
213	C₂×C₈×C₁₁	—	4	2	no	—
214	C₂×C₈×C₁₁	—	4	4	no	—
215	C₂×C₈×C₁₁	—	4	2	no	—
216	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
217	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
218	C₁₁×C₄⋊C₄	—	2	4	no	—
219	C₁₁×C₄⋊C₄	—	2	4	no	—
220	C₁₁×C₄⋊C₄	—	2	4	no	—
221	C₁₁×C₄⋊C₄	—	2	4	no	—
222	C₁₁×C₄⋊C₄	—	2	2	no	—
223	C₁₁×C₄⋊C₄	—	2	2	no	—
224	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
225	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
226	C₁₁×C₂²⋊C₄	—	2	4	no	—
227	C₁₁×C₂²⋊C₄	—	2	4	no	—
228	C₁₁×C₂²⋊C₄	—	2	4	no	—
229	C₁₁×C₂²⋊C₄	—	2	4	no	—
230	C₁₁×C₂²⋊C₄	—	2	4	no	—
231	C₁₁×C₂²⋊C₄	—	2	4	no	—
232	C₁₁×C₂²⋊C₄	—	2	4	no	—
233	C₁₁×C₂²⋊C₄	—	2	4	no	—
234	C₁₁×C₂²⋊C₄	—	2	4	no	—
235	C₁₁×C₂²⋊C₄	—	2	4	no	—
236	C₄²×C₁₁	—	2	4	no	—
237	C₄²×C₁₁	—	2	4	no	—
238	C₂×#525	C₂×C₁₁	1	2	yes	complemented
239	#3191	C₂×C₁₁	1	4	yes	complemented
240	#3190	C₂×C₁₁	1	4	yes	complemented
241	#3189	C₂×C₁₁	1	1	yes	characteristic, complemented
242	#3188	C₂×C₁₁	1	4	yes	complemented
243	#3187	C₂×C₁₁	1	2	yes	complemented
244	#3186	C₂×C₁₁	1	1	yes	characteristic, complemented
245	#3091	C₂×C₁₁	1	4	yes	complemented
246	#3050	C₂×C₁₁	1	4	yes	complemented
247	#3002	C₂×C₁₁	1	4	yes	complemented
248	C₂²×C₂²⋊C₈	C₂×C₁₁	1	1	yes	characteristic, complemented
249	C₂³×C₁₁	—	2	2	no	—
250	C₂³×C₁₁	—	2	2	no	—
251	C₂³×C₁₁	—	2	2	no	—
252	C₂³×C₁₁	—	2	4	no	—
253	C₂³×C₁₁	—	2	4	no	—
254	C₂³×C₁₁	—	2	4	no	—
255	C₂³×C₁₁	—	2	2	no	—
256	C₂³×C₁₁	—	2	4	no	—
257	C₂³×C₁₁	—	2	4	no	—
258	C₂³×C₁₁	—	4	1	no	—
259	C₂³×C₁₁	—	4	2	no	—
260	C₂³×C₁₁	—	4	1	no	—
261	C₂³×C₁₁	—	4	1	no	—
262	C₂³×C₁₁	—	4	2	no	—
263	C₂³×C₁₁	—	4	1	no	—
264	C₂³×C₁₁	—	4	16	no	—
265	C₂³×C₁₁	—	4	4	no	—
266	C₂³×C₁₁	—	4	4	no	—
267	C₂³×C₁₁	—	4	4	no	—
268	C₂³×C₁₁	#135	1	4	yes	complemented
269	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
270	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
271	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
272	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
273	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
274	Q₈×C₁₁	—	2	8	no	—
275	Q₈×C₁₁	—	4	4	no	—
276	D₄×C₁₁	—	2	8	no	—
277	D₄×C₁₁	—	4	4	no	—
278	D₄×C₁₁	—	4	8	no	—
279	D₄×C₁₁	—	4	8	no	—
280	D₄×C₁₁	—	4	8	no	—
281	D₄×C₁₁	—	4	8	no	—
282	D₄×C₁₁	—	4	8	no	—
283	D₄×C₁₁	—	4	8	no	—
284	C₂×C₄×C₁₁	—	2	2	no	—
285	C₂×C₄×C₁₁	—	2	4	no	—
286	C₂×C₄×C₁₁	—	2	4	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	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	4	no	—
295	C₂×C₄×C₁₁	—	2	4	no	—
296	C₂×C₄×C₁₁	—	2	4	no	—
297	C₂×C₄×C₁₁	—	4	1	no	—
298	C₂×C₄×C₁₁	—	4	2	no	—
299	C₂×C₄×C₁₁	—	4	2	no	—
300	C₂×C₄×C₁₁	—	4	2	no	—
301	C₂×C₄×C₁₁	—	4	2	no	—
302	C₂×C₄×C₁₁	—	4	2	no	—
303	C₂×C₄×C₁₁	—	4	1	no	—
304	C₂×C₄×C₁₁	—	4	8	no	—
305	C₂×C₄×C₁₁	—	4	4	no	—
306	C₂×C₄×C₁₁	—	4	4	no	—
307	C₂×C₄×C₁₁	—	4	4	no	—
308	C₂×C₄×C₁₁	—	4	8	no	—
309	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
310	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
311	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
312	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
313	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
314	C₂×C₄×C₁₁	H(5,𝔽₂)	1	4	yes	—
315	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
316	C₈×C₁₁	—	2	4	no	—
317	C₈×C₁₁	—	2	4	no	—
318	C₂²×#41	C₂²×C₁₁	1	2	yes	complemented
319	C₂⁴×C₄	C₂²×C₁₁	1	1	yes	characteristic
320	C₂×#135	C₂²×C₁₁	1	4	yes	complemented
321	C₂³×C₈	C₂²×C₁₁	1	2	yes	complemented
322	#525	—	2	2	no	—
323	#525	—	2	2	no	—
324	#525	—	2	2	no	—
325	#525	—	2	2	no	—
326	#525	C₂²×C₁₁	1	4	yes	—
327	#525	C₂²×C₁₁	1	4	yes	—
328	#525	C₂²×C₁₁	1	4	yes	complemented
329	#525	C₂²×C₁₁	1	4	yes	complemented
330	C₂×#123	—	2	2	no	—
331	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
332	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	complemented
333	C₂×#121	C₂²×C₁₁	1	2	yes	—
334	C₂×#121	C₂²×C₁₁	1	2	yes	complemented
335	C₂×#120	—	2	2	no	—
336	C₂×C₄×D₄	—	2	2	no	—
337	C₂×C₄×D₄	—	2	2	no	—
338	C₂×#117	C₂²×C₁₁	1	2	yes	complemented
339	#485	C₂²×C₁₁	1	8	yes	complemented
340	#484	C₂²×C₁₁	1	4	yes	complemented
341	#483	C₂²×C₁₁	1	4	yes	complemented
342	#482	C₂²×C₁₁	1	8	yes	complemented
343	#481	C₂²×C₁₁	1	4	yes	complemented
344	#480	C₂²×C₁₁	1	4	yes	complemented
345	#467	C₂²×C₁₁	1	4	yes	complemented
346	#467	C₂²×C₁₁	1	4	yes	complemented
347	#466	C₂²×C₁₁	1	4	yes	complemented
348	#466	C₂²×C₁₁	1	4	yes	complemented
349	#465	C₂²×C₁₁	1	8	yes	complemented
350	#465	C₂²×C₁₁	1	8	yes	complemented
351	#452	C₂²×C₁₁	1	8	yes	complemented
352	#451	C₂²×C₁₁	1	4	yes	complemented
353	#450	C₂²×C₁₁	1	4	yes	complemented
354	#449	C₂²×C₁₁	1	8	yes	complemented
355	#448	C₂²×C₁₁	1	4	yes	complemented
356	#447	C₂²×C₁₁	1	4	yes	complemented
357	#427	C₂²×C₁₁	1	4	yes	complemented
358	#416	C₂²×C₁₁	1	8	yes	complemented
359	C₂×C₂²⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
360	C₂×C₂²⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
361	C₂×C₂²⋊C₈	C₂²×C₁₁	1	4	yes	complemented
362	C₂×C₂²⋊C₈	C₂²×C₁₁	1	4	yes	complemented
363	C₂×C₂²⋊C₈	C₂²×C₁₁	1	2	yes	complemented
364	C₂²×C₁₁	—	2	8	no	—
365	C₂²×C₁₁	—	2	2	no	—
366	C₂²×C₁₁	—	2	1	no	—
367	C₂²×C₁₁	—	2	1	no	—
368	C₂²×C₁₁	—	2	1	no	—
369	C₂²×C₁₁	—	2	1	no	—
370	C₂²×C₁₁	—	2	2	no	—
371	C₂²×C₁₁	—	2	1	no	—
372	C₂²×C₁₁	—	2	1	no	—
373	C₂²×C₁₁	—	2	2	no	—
374	C₂²×C₁₁	—	2	2	no	—
375	C₂²×C₁₁	—	2	2	no	—
376	C₂²×C₁₁	—	4	4	no	—
377	C₂²×C₁₁	—	4	8	no	—
378	C₂²×C₁₁	—	4	8	no	—
379	C₂²×C₁₁	—	4	4	no	—
380	C₂²×C₁₁	—	4	4	no	—
381	C₂²×C₁₁	—	4	4	no	—
382	C₂²×C₁₁	—	4	4	no	—
383	C₂²×C₁₁	—	8	8	no	—
384	C₂²×C₁₁	#534	1	2	yes	—
385	C₂²×C₁₁	C₂×#135	1	4	yes	—
386	C₂²×C₁₁	C₂×#135	1	2	yes	—
387	C₂²×C₁₁	#575	1	2	yes	—
388	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
389	C₄×C₁₁	—	2	2	no	—
390	C₄×C₁₁	—	2	1	no	—
391	C₄×C₁₁	—	2	1	no	—
392	C₄×C₁₁	—	2	2	no	—
393	C₄×C₁₁	—	4	4	no	—
394	C₄×C₁₁	—	4	4	no	—
395	C₄×C₁₁	—	4	4	no	—
396	C₄×C₁₁	#534	1	2	yes	—
397	C₄×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
398	C₂⁵	D₄×C₁₁	1	1	yes	characteristic
399	C₂×#41	—	2	2	no	—
400	C₂×#41	—	2	2	no	—
401	C₂×#41	—	4	8	no	—
402	C₂×#41	C₂³×C₁₁	1	4	yes	—
403	C₂×#41	C₂³×C₁₁	1	4	yes	—
404	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
405	C₂²×D₄	—	2	2	no	—
406	C₂²×D₄	—	2	2	no	—
407	C₂²×D₄	—	2	2	no	—
408	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
409	C₂³×C₄	—	2	2	no	—
410	C₂³×C₄	—	4	4	no	—
411	C₂³×C₄	D₄×C₁₁	1	1	yes	characteristic
412	C₂³×C₄	D₄×C₁₁	1	2	yes	—
413	C₂³×C₄	D₄×C₁₁	1	2	yes	—
414	C₂³×C₄	D₄×C₁₁	1	1	yes	characteristic
415	C₂³×C₄	D₄×C₁₁	1	1	yes	characteristic
416	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
417	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
418	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
419	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
420	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
421	#135	—	4	8	no	—
422	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	complemented
423	C₂×SD₁₆	C₂³×C₁₁	1	8	yes	complemented
424	C₂×D₈	C₂³×C₁₁	1	4	yes	complemented
425	C₂²×C₈	—	4	4	no	—
426	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
427	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
428	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
429	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
430	#123	—	2	4	no	—
431	#123	—	2	4	no	—
432	#123	—	2	4	no	—
433	#123	—	2	4	no	—
434	C₂²⋊Q₈	—	2	2	no	—
435	C₂²⋊Q₈	—	2	2	no	—
436	C₂²⋊Q₈	—	2	2	no	—
437	C₂²⋊Q₈	—	2	2	no	—
438	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
439	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
440	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
441	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
442	#121	—	2	2	no	—
443	#121	—	2	2	no	—
444	#121	—	2	2	no	—
445	#121	—	2	2	no	—
446	#121	C₂³×C₁₁	1	4	yes	—
447	#121	C₂³×C₁₁	1	4	yes	—
448	#121	C₂³×C₁₁	1	4	yes	—
449	#121	C₂³×C₁₁	1	4	yes	—
450	#120	—	2	4	no	—
451	#120	—	2	4	no	—
452	#120	—	2	4	no	—
453	#120	—	2	4	no	—
454	C₄×D₄	—	2	4	no	—
455	C₄×D₄	—	2	4	no	—
456	C₄×D₄	—	2	4	no	—
457	C₄×D₄	—	2	4	no	—
458	C₄×D₄	—	2	4	no	—
459	C₄×D₄	—	2	4	no	—
460	C₄×D₄	—	2	4	no	—
461	C₄×D₄	—	2	4	no	—
462	#117	—	2	2	no	—
463	#117	—	2	2	no	—
464	#117	C₂³×C₁₁	1	4	yes	—
465	#117	C₂³×C₁₁	1	4	yes	—
466	C₂×C₄⋊C₄	—	2	2	no	—
467	C₂×C₄⋊C₄	—	2	2	no	—
468	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
469	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
470	C₂×C₂²⋊C₄	—	2	2	no	—
471	C₂×C₂²⋊C₄	—	2	2	no	—
472	C₂×C₂²⋊C₄	—	2	2	no	—
473	C₂×C₂²⋊C₄	—	2	2	no	—
474	C₂×C₂²⋊C₄	—	2	2	no	—
475	C₂×C₄²	—	2	2	no	—
476	#107	C₂³×C₁₁	1	4	yes	complemented
477	#107	C₂³×C₁₁	1	4	yes	complemented
478	#106	C₂³×C₁₁	1	8	yes	complemented
479	#103	C₂³×C₁₁	1	8	yes	complemented
480	#103	C₂³×C₁₁	1	8	yes	complemented
481	#102	C₂³×C₁₁	1	8	yes	complemented
482	#102	C₂³×C₁₁	1	8	yes	complemented
483	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
484	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
485	C₂²⋊C₈	C₂³×C₁₁	1	8	yes	—
486	C₂×C₁₁	—	2	2	no	—
487	C₂×C₁₁	—	2	2	no	—
488	C₂×C₁₁	—	2	2	no	—
489	C₂×C₁₁	—	2	4	no	—
490	C₂×C₁₁	—	4	2	no	—
491	C₂×C₁₁	—	8	4	no	—
492	C₂×C₁₁	C₂×#534	1	1	yes	characteristic
493	C₂×C₁₁	C₂²×#135	1	1	yes	characteristic
494	C₂×C₁₁	C₂×#575	1	1	yes	characteristic
495	C₂⁴	—	2	4	no	—
496	C₂⁴	—	2	2	no	—
497	C₂⁴	—	4	2	no	—
498	C₂⁴	—	4	2	no	—
499	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
500	C₂⁴	C₂×D₄×C₁₁	1	2	yes	—
501	C₂⁴	C₂×D₄×C₁₁	1	2	yes	—
502	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
503	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
504	#41	—	2	16	no	—
505	#41	—	4	8	no	—
506	#41	—	4	8	no	—
507	#41	—	4	8	no	—
508	C₂×Q₈	—	2	2	no	—
509	C₂×Q₈	—	4	4	no	—
510	C₂×Q₈	C₂⁴×C₁₁	1	4	yes	—
511	C₂×D₄	—	2	4	no	—
512	C₂×D₄	—	2	4	no	—
513	C₂×D₄	—	2	4	no	—
514	C₂×D₄	—	2	4	no	—
515	C₂×D₄	—	2	4	no	—
516	C₂×D₄	—	2	4	no	—
517	C₂×D₄	—	2	2	no	—
518	C₂×D₄	—	4	4	no	—
519	C₂×D₄	—	4	8	no	—
520	C₂×D₄	—	4	8	no	—
521	C₂×D₄	—	4	8	no	—
522	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
523	C₂²×C₄	—	2	4	no	—
524	C₂²×C₄	—	2	8	no	—
525	C₂²×C₄	—	2	2	no	—
526	C₂²×C₄	—	2	2	no	—
527	C₂²×C₄	—	2	2	no	—
528	C₂²×C₄	—	2	4	no	—
529	C₂²×C₄	—	2	4	no	—
530	C₂²×C₄	—	4	2	no	—
531	C₂²×C₄	—	4	4	no	—
532	C₂²×C₄	—	4	2	no	—
533	C₂²×C₄	—	4	2	no	—
534	C₂²×C₄	—	4	4	no	—
535	C₂²×C₄	—	4	2	no	—
536	C₂²×C₄	—	4	4	no	—
537	C₂²×C₄	—	4	2	no	—
538	C₂²×C₄	—	4	8	no	—
539	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
540	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
541	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
542	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
543	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
544	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
545	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
546	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
547	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
548	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
549	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
550	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
551	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
552	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
553	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
554	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
555	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
556	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
557	Q₁₆	—	4	4	no	—
558	SD₁₆	—	4	8	no	—
559	D₈	—	4	4	no	—
560	C₂×C₈	—	2	8	no	—
561	C₂×C₈	—	4	2	no	—
562	C₂×C₈	—	4	4	no	—
563	C₂×C₈	—	4	2	no	—
564	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
565	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
566	C₄⋊C₄	—	2	4	no	—
567	C₄⋊C₄	—	2	4	no	—
568	C₄⋊C₄	—	2	4	no	—
569	C₄⋊C₄	—	2	4	no	—
570	C₄⋊C₄	—	2	2	no	—
571	C₄⋊C₄	—	2	2	no	—
572	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
573	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
574	C₂²⋊C₄	—	2	4	no	—
575	C₂²⋊C₄	—	2	4	no	—
576	C₂²⋊C₄	—	2	4	no	—
577	C₂²⋊C₄	—	2	4	no	—
578	C₂²⋊C₄	—	2	4	no	—
579	C₂²⋊C₄	—	2	4	no	—
580	C₂²⋊C₄	—	2	4	no	—
581	C₂²⋊C₄	—	2	4	no	—
582	C₂²⋊C₄	—	2	4	no	—
583	C₂²⋊C₄	—	2	4	no	—
584	C₄²	—	2	4	no	—
585	C₄²	—	2	4	no	—
586	C₁₁	#60734	1	1	yes	characteristic, direct product factor, Sylow
587	C₂³	—	2	2	no	—
588	C₂³	—	2	2	no	—
589	C₂³	—	2	2	no	—
590	C₂³	—	2	4	no	—
591	C₂³	—	2	4	no	—
592	C₂³	—	2	4	no	—
593	C₂³	—	2	2	no	—
594	C₂³	—	2	4	no	—
595	C₂³	—	2	4	no	—
596	C₂³	—	4	1	no	—
597	C₂³	—	4	2	no	—
598	C₂³	—	4	1	no	—
599	C₂³	—	4	1	no	—
600	C₂³	—	4	2	no	—
601	C₂³	—	4	1	no	—
602	C₂³	—	4	16	no	—
603	C₂³	—	4	4	no	—
604	C₂³	—	4	4	no	—
605	C₂³	—	4	4	no	—
606	C₂³	C₁₁×#135	1	4	yes	complemented
607	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
608	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
609	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
610	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
611	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
612	Q₈	—	2	8	no	—
613	Q₈	—	4	4	no	—
614	D₄	—	2	8	no	—
615	D₄	—	4	4	no	—
616	D₄	—	4	8	no	—
617	D₄	—	4	8	no	—
618	D₄	—	4	8	no	—
619	D₄	—	4	8	no	—
620	D₄	—	4	8	no	—
621	D₄	—	4	8	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	4	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	2	no	—
630	C₂×C₄	—	2	4	no	—
631	C₂×C₄	—	2	4	no	—
632	C₂×C₄	—	2	4	no	—
633	C₂×C₄	—	2	4	no	—
634	C₂×C₄	—	2	4	no	—
635	C₂×C₄	—	4	1	no	—
636	C₂×C₄	—	4	2	no	—
637	C₂×C₄	—	4	2	no	—
638	C₂×C₄	—	4	2	no	—
639	C₂×C₄	—	4	1	no	—
640	C₂×C₄	—	4	2	no	—
641	C₂×C₄	—	4	2	no	—
642	C₂×C₄	—	4	8	no	—
643	C₂×C₄	—	4	4	no	—
644	C₂×C₄	—	4	4	no	—
645	C₂×C₄	—	4	4	no	—
646	C₂×C₄	—	4	8	no	—
647	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
648	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
649	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
650	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
651	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
652	C₂×C₄	C₁₁×H(5,𝔽₂)	1	4	yes	—
653	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
654	C₈	—	2	4	no	—
655	C₈	—	2	4	no	—
656	C₂²	—	2	8	no	—
657	C₂²	—	2	2	no	—
658	C₂²	—	2	1	no	—
659	C₂²	—	2	1	no	—
660	C₂²	—	2	1	no	—
661	C₂²	—	2	1	no	—
662	C₂²	—	2	2	no	—
663	C₂²	—	2	1	no	—
664	C₂²	—	2	1	no	—
665	C₂²	—	2	2	no	—
666	C₂²	—	2	2	no	—
667	C₂²	—	2	2	no	—
668	C₂²	—	4	4	no	—
669	C₂²	—	4	8	no	—
670	C₂²	—	4	8	no	—
671	C₂²	—	4	4	no	—
672	C₂²	—	4	4	no	—
673	C₂²	—	4	4	no	—
674	C₂²	—	4	4	no	—
675	C₂²	—	8	8	no	—
676	C₂²	C₁₁×#534	1	2	yes	—
677	C₂²	C₂×C₁₁×#135	1	4	yes	—
678	C₂²	C₂×C₁₁×#135	1	2	yes	—
679	C₂²	C₁₁×#575	1	2	yes	—
680	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
681	C₄	—	2	2	no	—
682	C₄	—	2	2	no	—
683	C₄	—	2	1	no	—
684	C₄	—	2	1	no	—
685	C₄	—	4	4	no	—
686	C₄	—	4	4	no	—
687	C₄	—	4	4	no	—
688	C₄	C₁₁×#534	1	2	yes	—
689	C₄	C₂×C₁₁×H(5,𝔽₂)	1	2	yes	—
690	C₂	—	2	2	no	—
691	C₂	—	2	2	no	—
692	C₂	—	2	2	no	—
693	C₂	—	2	4	no	—
694	C₂	—	4	2	no	—
695	C₂	—	8	4	no	—
696	C₂	C₂×C₁₁×#534	1	1	yes	characteristic
697	C₂	C₂²×C₁₁×#135	1	1	yes	characteristic
698	C₂	C₂×C₁₁×#575	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₁	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
socle	C₂²×C₁₁	C₂³×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₁ ◁ C₂⁴×C₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₁×#525	C₂	semidirect
2. C₁₁×#3191	C₂	semidirect
3. C₁₁×#3190	C₂	semidirect
4. C₁₁×#3189	C₂	semidirect
5. C₁₁×#3188	C₂	semidirect
6. C₁₁×#3187	C₂	semidirect
7. C₁₁×#3186	C₂	semidirect
8. C₁₁×#3091	C₂	semidirect
9. C₁₁×#3050	C₂	semidirect
10. C₁₁×#3002	C₂	semidirect
11. C₂²×C₁₁×C₂²⋊C₈	C₂	semidirect
12. C₂²×C₁₁×#41	C₂²	semidirect
14. C₂×C₁₁×#135	C₂²	semidirect
15. C₂³×C₈×C₁₁	C₂²	semidirect
22. C₁₁×#525	C₂²	semidirect
23. C₁₁×#525	C₂²	semidirect
26. C₂×C₁₁×C₂²⋊Q₈	C₂²	semidirect
28. C₂×C₁₁×#121	C₂²	semidirect
32. C₂×C₁₁×#117	C₂²	semidirect
33. C₁₁×#485	C₂²	semidirect
34. C₁₁×#484	C₂²	semidirect
35. C₁₁×#483	C₂²	semidirect
36. C₁₁×#482	C₂²	semidirect
37. C₁₁×#481	C₂²	semidirect
38. C₁₁×#480	C₂²	semidirect
39. C₁₁×#467	C₂²	semidirect
40. C₁₁×#467	C₂²	semidirect
41. C₁₁×#466	C₂²	semidirect
42. C₁₁×#466	C₂²	semidirect
43. C₁₁×#465	C₂²	semidirect
44. C₁₁×#465	C₂²	semidirect
45. C₁₁×#452	C₂²	semidirect
46. C₁₁×#451	C₂²	semidirect
47. C₁₁×#450	C₂²	semidirect
48. C₁₁×#449	C₂²	semidirect
49. C₁₁×#448	C₂²	semidirect
50. C₁₁×#447	C₂²	semidirect
51. C₁₁×#427	C₂²	semidirect
52. C₁₁×#416	C₂²	semidirect
55. C₂×C₁₁×C₂²⋊C₈	C₂²	semidirect
56. C₂×C₁₁×C₂²⋊C₈	C₂²	semidirect
57. C₂×C₁₁×C₂²⋊C₈	C₂²	semidirect
82. C₂×C₁₁×Q₁₆	C₂³	semidirect
83. C₂×C₁₁×SD₁₆	C₂³	semidirect
84. C₂×C₁₁×D₈	C₂³	semidirect
136. C₁₁×#107	C₂³	semidirect
137. C₁₁×#107	C₂³	semidirect
138. C₁₁×#106	C₂³	semidirect
139. C₁₁×#103	C₂³	semidirect
140. C₁₁×#103	C₂³	semidirect
141. C₁₁×#102	C₂³	semidirect
142. C₁₁×#102	C₂³	semidirect
146. #60734	C₁₁	direct (N × H)
238. C₂×#525	C₂×C₁₁	semidirect
239. #3191	C₂×C₁₁	semidirect
240. #3190	C₂×C₁₁	semidirect
241. #3189	C₂×C₁₁	semidirect
242. #3188	C₂×C₁₁	semidirect
243. #3187	C₂×C₁₁	semidirect
244. #3186	C₂×C₁₁	semidirect
245. #3091	C₂×C₁₁	semidirect
246. #3050	C₂×C₁₁	semidirect
247. #3002	C₂×C₁₁	semidirect
248. C₂²×C₂²⋊C₈	C₂×C₁₁	semidirect
268. C₂³×C₁₁	#135	semidirect
318. C₂²×#41	C₂²×C₁₁	semidirect
320. C₂×#135	C₂²×C₁₁	semidirect
321. C₂³×C₈	C₂²×C₁₁	semidirect
328. #525	C₂²×C₁₁	semidirect
329. #525	C₂²×C₁₁	semidirect
332. C₂×C₂²⋊Q₈	C₂²×C₁₁	semidirect
334. C₂×#121	C₂²×C₁₁	semidirect
338. C₂×#117	C₂²×C₁₁	semidirect
339. #485	C₂²×C₁₁	semidirect
340. #484	C₂²×C₁₁	semidirect
341. #483	C₂²×C₁₁	semidirect
342. #482	C₂²×C₁₁	semidirect
343. #481	C₂²×C₁₁	semidirect
344. #480	C₂²×C₁₁	semidirect
345. #467	C₂²×C₁₁	semidirect
346. #467	C₂²×C₁₁	semidirect
347. #466	C₂²×C₁₁	semidirect
348. #466	C₂²×C₁₁	semidirect
349. #465	C₂²×C₁₁	semidirect
350. #465	C₂²×C₁₁	semidirect
351. #452	C₂²×C₁₁	semidirect
352. #451	C₂²×C₁₁	semidirect
353. #450	C₂²×C₁₁	semidirect
354. #449	C₂²×C₁₁	semidirect
355. #448	C₂²×C₁₁	semidirect
356. #447	C₂²×C₁₁	semidirect
357. #427	C₂²×C₁₁	semidirect
358. #416	C₂²×C₁₁	semidirect
361. C₂×C₂²⋊C₈	C₂²×C₁₁	semidirect
362. C₂×C₂²⋊C₈	C₂²×C₁₁	semidirect
363. C₂×C₂²⋊C₈	C₂²×C₁₁	semidirect
422. C₂×Q₁₆	C₂³×C₁₁	semidirect
423. C₂×SD₁₆	C₂³×C₁₁	semidirect
424. C₂×D₈	C₂³×C₁₁	semidirect
476. #107	C₂³×C₁₁	semidirect
477. #107	C₂³×C₁₁	semidirect
478. #106	C₂³×C₁₁	semidirect
479. #103	C₂³×C₁₁	semidirect
480. #103	C₂³×C₁₁	semidirect
481. #102	C₂³×C₁₁	semidirect
482. #102	C₂³×C₁₁	semidirect
586. C₁₁	#60734	direct (N × H)
606. C₂³	C₁₁×#135	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₁×#525	2
C₁₁×#3191	2
C₁₁×#3190	2
C₁₁×#3189	2
C₁₁×#3188	2
C₁₁×#3187	2
C₁₁×#3186	2
C₁₁×#3091	2
C₁₁×#3050	2
C₁₁×#3002	2
C₂²×C₁₁×C₂²⋊C₈	2
#60734	11

Subgroups — C11×#60734 #14637927

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60734 #14637927