Subgroups — C₁₁×#61471 #14638664

Order 2816.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1112 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3513	C₂	1	2	yes	maximal, complemented
2	C₁₁×#3396	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3380	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#3370	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3339	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#3336	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#3334	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#3322	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3310	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3306	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3280	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3280	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×C₁₁×D₈	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3176	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3175	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#3168	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#3119	C₂	1	2	yes	maximal, complemented
18	C₁₁×#3118	C₂	1	2	yes	maximal, complemented
19	C₁₁×#3114	C₂	1	2	yes	maximal, complemented
20	C₁₁×#2966	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₁×#2951	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₁×#2948	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×C₁₁×D₈	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×#135	C₂²	1	1	yes	characteristic
25	C₂²×C₁₁×D₈	C₂²	1	1	yes	characteristic
26	C₂²×C₁₁×D₈	C₂²	1	1	yes	characteristic
27	C₁₁×#559	C₂²	1	2	yes	complemented
28	C₁₁×#554	C₂²	1	2	yes	complemented
29	C₁₁×#553	—	2	2	no	—
30	C₁₁×#553	C₂²	1	2	yes	complemented
31	C₁₁×#552	C₂²	1	2	yes	—
32	C₁₁×#551	—	2	2	no	—
33	C₁₁×#551	—	2	2	no	—
34	C₁₁×#547	C₂²	1	2	yes	complemented
35	C₁₁×#546	—	2	2	no	—
36	C₁₁×#546	C₂²	1	2	yes	complemented
37	C₁₁×#546	C₂²	1	2	yes	complemented
38	D₄²×C₁₁	C₂²	1	2	yes	—
39	C₁₁×#542	C₂²	1	2	yes	complemented
40	C₁₁×#540	C₂²	1	2	yes	complemented
41	C₁₁×#539	—	2	2	no	—
42	C₁₁×#538	—	2	2	no	—
43	C₁₁×#529	C₂²	1	1	yes	characteristic
44	C₁₁×#529	C₂²	1	2	yes	complemented
45	C₁₁×#525	—	2	2	no	—
46	C₂×C₁₁×#123	—	2	2	no	—
47	C₁₁×#520	C₂²	1	2	yes	complemented
48	C₁₁×#518	C₂²	1	2	yes	complemented
49	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	complemented
50	C₁₁×#500	C₂²	1	1	yes	characteristic, complemented
51	C₁₁×#499	C₂²	1	1	yes	characteristic, complemented
52	C₁₁×#499	C₂²	1	1	yes	characteristic, complemented
53	C₁₁×#495	C₂²	1	1	yes	characteristic, complemented
54	C₁₁×#495	C₂²	1	1	yes	characteristic, complemented
55	C₁₁×#493	C₂²	1	1	yes	characteristic
56	C₁₁×#490	C₂²	1	2	yes	complemented
57	C₁₁×#489	C₂²	1	2	yes	complemented
58	C₁₁×#488	C₂²	1	2	yes	complemented
59	C₁₁×#485	C₂²	1	2	yes	complemented
60	C₁₁×#483	C₂²	1	2	yes	complemented
61	C₁₁×#482	C₂²	1	2	yes	complemented
62	C₁₁×#481	C₂²	1	2	yes	complemented
63	C₁₁×#480	C₂²	1	2	yes	complemented
64	C₁₁×#480	C₂²	1	2	yes	complemented
65	C₁₁×#479	C₂²	1	2	yes	complemented
66	C₁₁×#478	C₂²	1	2	yes	complemented
67	C₁₁×#478	C₂²	1	2	yes	complemented
68	C₁₁×#478	C₂²	1	2	yes	complemented
69	C₁₁×#476	C₂²	1	2	yes	complemented
70	C₁₁×#474	C₂²	1	2	yes	complemented
71	C₁₁×#469	C₂²	1	2	yes	complemented
72	C₁₁×#468	C₂²	1	2	yes	complemented
73	C₁₁×#467	C₂²	1	1	yes	characteristic, complemented
74	C₁₁×#467	C₂²	1	1	yes	characteristic, complemented
75	C₁₁×#466	C₂²	1	1	yes	characteristic
76	C₁₁×#466	C₂²	1	1	yes	characteristic
77	C₁₁×#466	C₂²	1	1	yes	characteristic, complemented
78	C₁₁×#466	C₂²	1	1	yes	characteristic, complemented
79	C₁₁×#465	C₂²	1	2	yes	complemented
80	C₁₁×#463	C₂²	1	2	yes	complemented
81	C₁₁×#463	C₂²	1	2	yes	complemented
82	C₁₁×#463	C₂²	1	2	yes	complemented
83	C₁₁×#463	C₂²	1	2	yes	complemented
84	C₁₁×#460	C₂²	1	2	yes	complemented
85	C₁₁×#459	C₂²	1	2	yes	—
86	C₁₁×#450	C₂²	1	2	yes	complemented
87	C₁₁×#450	C₂²	1	2	yes	complemented
88	C₁₁×#449	C₂²	1	2	yes	complemented
89	C₁₁×#449	C₂²	1	2	yes	complemented
90	C₁₁×#447	C₂²	1	2	yes	—
91	C₁₁×#447	C₂²	1	2	yes	—
92	C₁₁×#446	C₂²	1	1	yes	characteristic, complemented
93	C₈×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
94	C₁₁×#442	C₂²	1	2	yes	complemented
95	C₁₁×#442	C₂²	1	2	yes	complemented
96	C₁₁×#442	C₂²	1	2	yes	complemented
97	C₁₁×#440	C₂²	1	2	yes	complemented
98	C₁₁×#440	C₂²	1	2	yes	complemented
99	C₁₁×#440	C₂²	1	2	yes	complemented
100	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic, complemented
101	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic, complemented
102	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
103	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
104	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
105	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
106	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
107	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic, complemented
108	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
110	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic, complemented
111	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
112	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic, complemented
113	C₁₁×#436	C₂²	1	1	yes	characteristic, complemented
114	C₁₁×#435	C₂²	1	1	yes	characteristic
115	C₁₁×#435	C₂²	1	1	yes	characteristic, complemented
116	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic
117	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
118	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
119	C₁₁×#433	C₂²	1	1	yes	characteristic, complemented
120	C₁₁×#433	C₂²	1	1	yes	characteristic, complemented
121	C₁₁×#432	C₂²	1	1	yes	characteristic, complemented
122	C₁₁×#427	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₁₁×#107	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₁₁×#107	C₂²	1	1	yes	characteristic, complemented
125	C₁₁×#418	C₂²	1	2	yes	complemented
126	C₁₁×#417	C₂²	1	2	yes	complemented
127	C₂×C₁₁×#102	C₂²	1	2	yes	complemented
128	C₁₁×#405	C₂²	1	1	yes	characteristic, complemented
129	C₁₁×#405	C₂²	1	1	yes	characteristic, complemented
130	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
131	C₂×C₁₁×#41	—	2	2	no	—
132	C₂×C₁₁×#41	C₂³	1	2	yes	—
133	C₂²×D₄×C₁₁	—	2	2	no	—
134	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
135	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
136	C₂³×C₄×C₁₁	—	2	2	no	—
137	C₁₁×#135	—	2	4	no	—
138	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
139	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
140	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
141	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
142	C₂×C₁₁×D₈	—	2	4	no	—
143	C₂×C₁₁×D₈	—	2	4	no	—
144	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
145	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
146	C₂×C₁₁×D₈	C₂³	1	2	yes	—
147	C₂×C₁₁×D₈	C₂³	1	2	yes	—
148	C₂×C₁₁×D₈	C₂³	1	2	yes	—
149	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
150	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
152	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
153	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
154	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
155	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
156	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
157	C₁₁×#127	C₂³	1	2	yes	—
158	C₁₁×#126	—	2	2	no	—
159	C₁₁×#126	—	2	2	no	—
160	C₁₁×#126	—	2	2	no	—
161	C₁₁×#126	—	2	2	no	—
162	C₁₁×#126	D₄	1	1	yes	characteristic
163	C₁₁×#126	D₄	1	1	yes	characteristic
164	C₁₁×#125	—	2	2	no	—
165	C₁₁×#125	D₄	1	1	yes	characteristic
166	C₁₁×#125	C₂³	1	2	yes	—
167	C₁₁×#125	C₂³	1	2	yes	—
168	C₁₁×#124	—	2	2	no	—
169	C₁₁×#124	—	2	2	no	—
170	C₁₁×#124	D₄	1	1	yes	characteristic
171	C₁₁×#124	C₂³	1	2	yes	—
172	C₁₁×#124	C₂³	1	2	yes	—
173	C₁₁×#123	—	2	2	no	—
174	C₁₁×#123	—	2	2	no	—
175	C₁₁×#123	—	2	2	no	—
176	C₁₁×#123	—	2	2	no	—
177	C₁₁×#123	—	2	2	no	—
178	C₁₁×#123	—	2	2	no	—
179	C₁₁×#123	—	2	2	no	—
180	C₁₁×#123	—	2	2	no	—
181	C₁₁×#123	—	2	2	no	—
182	C₁₁×#123	—	2	2	no	—
183	C₁₁×#123	—	2	2	no	—
184	C₁₁×#123	—	2	2	no	—
185	C₁₁×#123	D₄	1	1	yes	characteristic
186	C₁₁×#123	D₄	1	1	yes	characteristic
187	C₁₁×C₂²⋊Q₈	—	2	2	no	—
188	C₁₁×C₂²⋊Q₈	—	2	2	no	—
189	C₁₁×C₂²⋊Q₈	—	2	2	no	—
190	C₁₁×C₂²⋊Q₈	—	2	2	no	—
191	C₁₁×C₂²⋊Q₈	—	2	2	no	—
192	C₁₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
193	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
194	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
195	C₁₁×#121	—	2	2	no	—
196	C₁₁×#121	—	2	2	no	—
197	C₁₁×#121	—	2	2	no	—
198	C₁₁×#121	—	2	2	no	—
199	C₁₁×#121	—	2	2	no	—
200	C₁₁×#121	—	2	2	no	—
201	C₁₁×#121	D₄	1	1	yes	characteristic
202	C₁₁×#121	C₂³	1	2	yes	—
203	C₁₁×#121	C₂³	1	2	yes	—
204	C₁₁×#121	C₂³	1	2	yes	—
205	C₁₁×#121	C₂³	1	2	yes	—
206	C₁₁×#120	—	2	2	no	—
207	C₁₁×#120	—	2	2	no	—
208	C₁₁×#120	—	2	2	no	—
209	C₁₁×#120	—	2	2	no	—
210	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
211	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
212	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
213	C₄×D₄×C₁₁	—	2	2	no	—
214	C₄×D₄×C₁₁	—	2	2	no	—
215	C₄×D₄×C₁₁	—	2	2	no	—
216	C₄×D₄×C₁₁	—	2	2	no	—
217	C₄×D₄×C₁₁	—	2	2	no	—
218	C₄×D₄×C₁₁	—	2	2	no	—
219	C₄×D₄×C₁₁	—	2	2	no	—
220	C₄×D₄×C₁₁	—	2	2	no	—
221	C₄×D₄×C₁₁	—	2	2	no	—
222	C₄×D₄×C₁₁	C₂³	1	2	yes	—
223	C₄×D₄×C₁₁	C₂³	1	2	yes	—
224	C₄×D₄×C₁₁	C₂³	1	2	yes	—
225	C₄×D₄×C₁₁	C₂³	1	2	yes	—
226	C₄×D₄×C₁₁	C₂³	1	2	yes	—
227	C₄×D₄×C₁₁	C₂³	1	2	yes	—
228	C₄×D₄×C₁₁	C₂³	1	2	yes	—
229	C₄×D₄×C₁₁	C₂³	1	2	yes	—
230	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
231	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
232	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
233	C₁₁×#117	—	2	2	no	—
234	C₁₁×#117	—	2	2	no	—
235	C₁₁×#117	—	2	2	no	—
236	C₁₁×#117	C₂³	1	2	yes	—
237	C₁₁×#117	C₂³	1	1	yes	characteristic
238	C₁₁×#117	C₂³	1	1	yes	characteristic
239	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
240	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
241	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
242	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
243	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
244	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
245	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
246	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
247	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
248	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
249	C₁₁×#107	C₂³	1	1	yes	characteristic
250	C₁₁×#107	C₂³	1	1	yes	characteristic
251	C₁₁×#107	C₂³	1	1	yes	characteristic
252	C₁₁×#107	C₂³	1	2	yes	—
253	C₁₁×#107	C₂³	1	1	yes	characteristic
254	C₁₁×#107	C₂³	1	2	yes	—
255	C₁₁×#107	C₂³	1	2	yes	—
256	C₁₁×#106	C₂³	1	2	yes	—
257	C₁₁×#106	C₂³	1	2	yes	—
258	C₁₁×#106	C₂³	1	2	yes	—
259	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
260	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
264	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
265	C₁₁×#103	C₂³	1	2	yes	—
266	C₁₁×#103	C₂³	1	2	yes	—
267	C₁₁×#103	C₂³	1	2	yes	—
268	C₁₁×#103	C₂³	1	2	yes	—
269	C₁₁×#102	C₂³	1	2	yes	—
270	C₁₁×#102	C₂³	1	2	yes	—
271	C₁₁×#102	C₂³	1	2	yes	—
272	C₁₁×#102	C₂³	1	2	yes	—
273	C₁₁×#102	C₂³	1	2	yes	—
274	C₁₁×#102	C₂³	1	2	yes	—
275	C₁₁×#102	C₂³	1	2	yes	—
276	C₁₁×#102	C₂³	1	2	yes	—
277	C₁₁×#102	C₂³	1	2	yes	—
278	C₁₁×#102	C₂³	1	2	yes	—
279	C₁₁×#102	C₂³	1	2	yes	—
280	C₁₁×#102	C₂³	1	2	yes	—
281	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
286	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₁×#97	C₂³	1	1	yes	characteristic
288	C₁₁×#97	C₂³	1	1	yes	characteristic
289	C₁₁×#97	C₂³	1	1	yes	characteristic
290	C₁₁×#97	C₂³	1	1	yes	characteristic
291	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
292	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
293	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
294	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
295	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
296	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
297	#61471	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
298	C₂⁴×C₁₁	—	2	2	no	—
299	C₂⁴×C₁₁	—	2	2	no	—
300	C₁₁×#41	—	2	4	no	—
301	C₁₁×#41	—	4	2	no	—
302	C₁₁×#41	—	8	4	no	—
303	C₂×Q₈×C₁₁	—	2	2	no	—
304	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
305	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
306	C₂×D₄×C₁₁	—	2	4	no	—
307	C₂×D₄×C₁₁	—	2	4	no	—
308	C₂×D₄×C₁₁	—	2	2	no	—
309	C₂×D₄×C₁₁	—	2	2	no	—
310	C₂×D₄×C₁₁	—	2	2	no	—
311	C₂×D₄×C₁₁	—	2	2	no	—
312	C₂×D₄×C₁₁	—	2	2	no	—
313	C₂×D₄×C₁₁	—	2	2	no	—
314	C₂×D₄×C₁₁	—	2	2	no	—
315	C₂×D₄×C₁₁	—	2	2	no	—
316	C₂×D₄×C₁₁	—	2	2	no	—
317	C₂×D₄×C₁₁	—	4	2	no	—
318	C₂×D₄×C₁₁	—	4	2	no	—
319	C₂×D₄×C₁₁	—	8	4	no	—
320	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
321	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
322	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
323	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
324	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
325	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
326	C₂²×C₄×C₁₁	—	2	2	no	—
327	C₂²×C₄×C₁₁	—	2	2	no	—
328	C₂²×C₄×C₁₁	—	2	2	no	—
329	C₂²×C₄×C₁₁	—	2	2	no	—
330	C₂²×C₄×C₁₁	—	2	2	no	—
331	C₂²×C₄×C₁₁	—	2	2	no	—
332	C₂²×C₄×C₁₁	—	2	2	no	—
333	C₂²×C₄×C₁₁	—	2	2	no	—
334	C₂²×C₄×C₁₁	—	2	2	no	—
335	C₂²×C₄×C₁₁	—	2	2	no	—
336	C₂²×C₄×C₁₁	—	2	2	no	—
337	C₂²×C₄×C₁₁	—	8	4	no	—
338	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
339	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
340	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
341	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
342	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
343	C₁₁×Q₁₆	—	2	2	no	—
344	C₁₁×SD₁₆	—	2	4	no	—
345	C₁₁×SD₁₆	—	4	2	no	—
346	C₁₁×SD₁₆	—	4	2	no	—
347	C₁₁×D₈	—	2	2	no	—
348	C₁₁×D₈	—	2	2	no	—
349	C₁₁×D₈	—	2	4	no	—
350	C₁₁×D₈	—	2	4	no	—
351	C₁₁×D₈	—	4	2	no	—
352	C₁₁×D₈	#41	1	4	yes	complemented
353	C₁₁×M₁₆	—	4	1	no	—
354	C₁₁×M₁₆	—	4	1	no	—
355	C₂×C₈×C₁₁	—	2	2	no	—
356	C₂×C₈×C₁₁	—	2	2	no	—
357	C₂×C₈×C₁₁	—	2	2	no	—
358	C₂×C₈×C₁₁	—	4	1	no	—
359	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
360	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
361	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
362	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
363	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
364	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
365	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
366	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
367	C₁₁×C₄⋊C₄	—	2	2	no	—
368	C₁₁×C₄⋊C₄	—	2	2	no	—
369	C₁₁×C₄⋊C₄	—	2	2	no	—
370	C₁₁×C₄⋊C₄	—	2	2	no	—
371	C₁₁×C₄⋊C₄	—	2	2	no	—
372	C₁₁×C₄⋊C₄	—	2	2	no	—
373	C₁₁×C₄⋊C₄	—	2	2	no	—
374	C₁₁×C₄⋊C₄	—	2	2	no	—
375	C₁₁×C₄⋊C₄	—	2	2	no	—
376	C₁₁×C₄⋊C₄	—	2	2	no	—
377	C₁₁×C₄⋊C₄	—	2	2	no	—
378	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
379	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
380	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
381	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
382	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
383	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
384	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
385	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
386	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
387	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
388	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
389	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
390	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
391	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
392	C₁₁×C₂²⋊C₄	—	2	2	no	—
393	C₁₁×C₂²⋊C₄	—	2	2	no	—
394	C₁₁×C₂²⋊C₄	—	2	2	no	—
395	C₁₁×C₂²⋊C₄	—	2	2	no	—
396	C₁₁×C₂²⋊C₄	—	2	2	no	—
397	C₁₁×C₂²⋊C₄	—	2	2	no	—
398	C₁₁×C₂²⋊C₄	—	2	2	no	—
399	C₁₁×C₂²⋊C₄	—	2	2	no	—
400	C₁₁×C₂²⋊C₄	—	2	2	no	—
401	C₁₁×C₂²⋊C₄	—	2	2	no	—
402	C₁₁×C₂²⋊C₄	—	2	2	no	—
403	C₁₁×C₂²⋊C₄	—	2	2	no	—
404	C₁₁×C₂²⋊C₄	—	2	2	no	—
405	C₁₁×C₂²⋊C₄	—	2	2	no	—
406	C₁₁×C₂²⋊C₄	—	2	2	no	—
407	C₁₁×C₂²⋊C₄	—	2	2	no	—
408	C₁₁×C₂²⋊C₄	—	2	2	no	—
409	C₁₁×C₂²⋊C₄	—	2	2	no	—
410	C₁₁×C₂²⋊C₄	—	2	2	no	—
411	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
412	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
413	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
414	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
415	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
416	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
417	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
418	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
419	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
420	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
421	C₄²×C₁₁	—	2	2	no	—
422	C₄²×C₁₁	—	2	2	no	—
423	C₄²×C₁₁	—	2	2	no	—
424	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
425	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
426	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
427	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
428	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
429	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
430	#3513	C₂×C₁₁	1	2	yes	complemented
431	#3396	C₂×C₁₁	1	1	yes	characteristic, complemented
432	#3380	C₂×C₁₁	1	1	yes	characteristic, complemented
433	#3370	C₂×C₁₁	1	2	yes	complemented
434	#3339	C₂×C₁₁	1	1	yes	characteristic, complemented
435	#3336	C₂×C₁₁	1	1	yes	characteristic, complemented
436	#3334	C₂×C₁₁	1	1	yes	characteristic, complemented
437	#3322	C₂×C₁₁	1	2	yes	complemented
438	#3310	C₂×C₁₁	1	2	yes	complemented
439	#3306	C₂×C₁₁	1	2	yes	complemented
440	#3280	C₂×C₁₁	1	1	yes	characteristic, complemented
441	#3280	C₂×C₁₁	1	1	yes	characteristic, complemented
442	D₄×D₈	C₂×C₁₁	1	1	yes	characteristic, complemented
443	#3176	C₂×C₁₁	1	1	yes	characteristic, complemented
444	#3175	C₂×C₁₁	1	1	yes	characteristic, complemented
445	#3168	C₂×C₁₁	1	1	yes	characteristic, complemented
446	#3119	C₂×C₁₁	1	2	yes	complemented
447	#3118	C₂×C₁₁	1	2	yes	complemented
448	#3114	C₂×C₁₁	1	2	yes	complemented
449	#2966	C₂×C₁₁	1	1	yes	characteristic, complemented
450	#2951	C₂×C₁₁	1	1	yes	characteristic, complemented
451	#2948	C₂×C₁₁	1	1	yes	characteristic, complemented
452	C₂×C₄×D₈	C₂×C₁₁	1	1	yes	characteristic, complemented
453	C₂³×C₁₁	—	2	2	no	—
454	C₂³×C₁₁	—	2	2	no	—
455	C₂³×C₁₁	—	2	2	no	—
456	C₂³×C₁₁	—	4	4	no	—
457	C₂³×C₁₁	—	4	4	no	—
458	C₂³×C₁₁	—	4	4	no	—
459	C₂³×C₁₁	—	8	2	no	—
460	C₂³×C₁₁	—	8	2	no	—
461	C₂³×C₁₁	—	8	2	no	—
462	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
463	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
464	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
465	Q₈×C₁₁	—	2	2	no	—
466	Q₈×C₁₁	—	2	2	no	—
467	Q₈×C₁₁	—	4	1	no	—
468	Q₈×C₁₁	—	8	2	no	—
469	D₄×C₁₁	—	2	2	no	—
470	D₄×C₁₁	—	2	2	no	—
471	D₄×C₁₁	—	2	2	no	—
472	D₄×C₁₁	—	2	2	no	—
473	D₄×C₁₁	—	2	2	no	—
474	D₄×C₁₁	—	2	2	no	—
475	D₄×C₁₁	—	2	2	no	—
476	D₄×C₁₁	—	4	1	no	—
477	D₄×C₁₁	—	4	4	no	—
478	D₄×C₁₁	—	4	4	no	—
479	D₄×C₁₁	—	4	4	no	—
480	D₄×C₁₁	—	4	4	no	—
481	D₄×C₁₁	—	8	2	no	—
482	D₄×C₁₁	—	8	2	no	—
483	D₄×C₁₁	—	8	2	no	—
484	D₄×C₁₁	—	8	2	no	—
485	D₄×C₁₁	—	8	2	no	—
486	D₄×C₁₁	C₂×#41	1	4	yes	—
487	C₂×C₄×C₁₁	—	2	2	no	—
488	C₂×C₄×C₁₁	—	2	1	no	—
489	C₂×C₄×C₁₁	—	2	1	no	—
490	C₂×C₄×C₁₁	—	2	1	no	—
491	C₂×C₄×C₁₁	—	2	1	no	—
492	C₂×C₄×C₁₁	—	2	1	no	—
493	C₂×C₄×C₁₁	—	2	1	no	—
494	C₂×C₄×C₁₁	—	2	2	no	—
495	C₂×C₄×C₁₁	—	2	2	no	—
496	C₂×C₄×C₁₁	—	2	2	no	—
497	C₂×C₄×C₁₁	—	2	2	no	—
498	C₂×C₄×C₁₁	—	2	2	no	—
499	C₂×C₄×C₁₁	—	4	1	no	—
500	C₂×C₄×C₁₁	—	4	4	no	—
501	C₂×C₄×C₁₁	—	4	4	no	—
502	C₂×C₄×C₁₁	—	8	2	no	—
503	C₂×C₄×C₁₁	—	8	2	no	—
504	C₂×C₄×C₁₁	—	8	2	no	—
505	C₂×C₄×C₁₁	—	8	2	no	—
506	C₂×C₄×C₁₁	—	8	2	no	—
507	C₂×C₄×C₁₁	—	8	2	no	—
508	C₂×C₄×C₁₁	—	8	2	no	—
509	C₂×C₄×C₁₁	—	8	2	no	—
510	C₂×C₄×C₁₁	—	8	2	no	—
511	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
512	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
515	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
516	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
517	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
518	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
519	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
520	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
521	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
522	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
523	C₈×C₁₁	—	2	1	no	—
524	C₈×C₁₁	—	2	1	no	—
525	C₈×C₁₁	—	2	1	no	—
526	C₈×C₁₁	—	2	1	no	—
527	C₈×C₁₁	—	2	1	no	—
528	C₈×C₁₁	—	2	1	no	—
529	C₈×C₁₁	—	2	1	no	—
530	C₈×C₁₁	C₂×#41	1	2	yes	—
531	C₂×#135	C₂²×C₁₁	1	1	yes	characteristic
532	C₂²×D₈	C₂²×C₁₁	1	1	yes	characteristic
533	C₂²×D₈	C₂²×C₁₁	1	1	yes	characteristic
534	#559	C₂²×C₁₁	1	2	yes	complemented
535	#554	C₂²×C₁₁	1	2	yes	complemented
536	#553	—	2	2	no	—
537	#553	C₂²×C₁₁	1	2	yes	complemented
538	#552	C₂²×C₁₁	1	2	yes	—
539	#551	—	2	2	no	—
540	#551	—	2	2	no	—
541	#547	C₂²×C₁₁	1	2	yes	complemented
542	#546	—	2	2	no	—
543	#546	C₂²×C₁₁	1	2	yes	complemented
544	#546	C₂²×C₁₁	1	2	yes	complemented
545	D₄²	C₂²×C₁₁	1	2	yes	—
546	#542	C₂²×C₁₁	1	2	yes	complemented
547	#540	C₂²×C₁₁	1	2	yes	complemented
548	#539	—	2	2	no	—
549	#538	—	2	2	no	—
550	#529	C₂²×C₁₁	1	1	yes	characteristic
551	#529	C₂²×C₁₁	1	2	yes	complemented
552	#525	—	2	2	no	—
553	C₂×#123	—	2	2	no	—
554	#520	C₂²×C₁₁	1	2	yes	complemented
555	#518	C₂²×C₁₁	1	2	yes	complemented
556	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	complemented
557	#500	C₂²×C₁₁	1	1	yes	characteristic, complemented
558	#499	C₂²×C₁₁	1	1	yes	characteristic, complemented
559	#499	C₂²×C₁₁	1	1	yes	characteristic, complemented
560	#495	C₂²×C₁₁	1	1	yes	characteristic, complemented
561	#495	C₂²×C₁₁	1	1	yes	characteristic, complemented
562	#493	C₂²×C₁₁	1	1	yes	characteristic
563	#490	C₂²×C₁₁	1	2	yes	complemented
564	#489	C₂²×C₁₁	1	2	yes	complemented
565	#488	C₂²×C₁₁	1	2	yes	complemented
566	#485	C₂²×C₁₁	1	2	yes	complemented
567	#483	C₂²×C₁₁	1	2	yes	complemented
568	#482	C₂²×C₁₁	1	2	yes	complemented
569	#481	C₂²×C₁₁	1	2	yes	complemented
570	#480	C₂²×C₁₁	1	2	yes	complemented
571	#480	C₂²×C₁₁	1	2	yes	complemented
572	#479	C₂²×C₁₁	1	2	yes	complemented
573	#478	C₂²×C₁₁	1	2	yes	complemented
574	#478	C₂²×C₁₁	1	2	yes	complemented
575	#478	C₂²×C₁₁	1	2	yes	complemented
576	#476	C₂²×C₁₁	1	2	yes	complemented
577	#474	C₂²×C₁₁	1	2	yes	complemented
578	#469	C₂²×C₁₁	1	2	yes	complemented
579	#468	C₂²×C₁₁	1	2	yes	complemented
580	#467	C₂²×C₁₁	1	1	yes	characteristic, complemented
581	#467	C₂²×C₁₁	1	1	yes	characteristic, complemented
582	#466	C₂²×C₁₁	1	1	yes	characteristic
583	#466	C₂²×C₁₁	1	1	yes	characteristic
584	#466	C₂²×C₁₁	1	1	yes	characteristic, complemented
585	#466	C₂²×C₁₁	1	1	yes	characteristic, complemented
586	#465	C₂²×C₁₁	1	2	yes	complemented
587	#463	C₂²×C₁₁	1	2	yes	complemented
588	#463	C₂²×C₁₁	1	2	yes	complemented
589	#463	C₂²×C₁₁	1	2	yes	complemented
590	#463	C₂²×C₁₁	1	2	yes	complemented
591	#460	C₂²×C₁₁	1	2	yes	complemented
592	#459	C₂²×C₁₁	1	2	yes	—
593	#450	C₂²×C₁₁	1	2	yes	complemented
594	#450	C₂²×C₁₁	1	2	yes	complemented
595	#449	C₂²×C₁₁	1	2	yes	complemented
596	#449	C₂²×C₁₁	1	2	yes	complemented
597	#447	C₂²×C₁₁	1	2	yes	—
598	#447	C₂²×C₁₁	1	2	yes	—
599	#446	C₂²×C₁₁	1	1	yes	characteristic, complemented
600	C₈×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
601	#442	C₂²×C₁₁	1	2	yes	complemented
602	#442	C₂²×C₁₁	1	2	yes	complemented
603	#442	C₂²×C₁₁	1	2	yes	complemented
604	#440	C₂²×C₁₁	1	2	yes	complemented
605	#440	C₂²×C₁₁	1	2	yes	complemented
606	#440	C₂²×C₁₁	1	2	yes	complemented
607	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
608	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
609	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
610	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
611	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
612	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
613	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
614	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
615	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
616	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
617	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
618	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
619	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
620	#436	C₂²×C₁₁	1	1	yes	characteristic, complemented
621	#435	C₂²×C₁₁	1	1	yes	characteristic
622	#435	C₂²×C₁₁	1	1	yes	characteristic, complemented
623	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic
624	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
625	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
626	#433	C₂²×C₁₁	1	1	yes	characteristic, complemented
627	#433	C₂²×C₁₁	1	1	yes	characteristic, complemented
628	#432	C₂²×C₁₁	1	1	yes	characteristic, complemented
629	#427	C₂²×C₁₁	1	1	yes	characteristic, complemented
630	C₂×#107	C₂²×C₁₁	1	1	yes	characteristic, complemented
631	C₂×#107	C₂²×C₁₁	1	1	yes	characteristic, complemented
632	#418	C₂²×C₁₁	1	2	yes	complemented
633	#417	C₂²×C₁₁	1	2	yes	complemented
634	C₂×#102	C₂²×C₁₁	1	2	yes	complemented
635	#405	C₂²×C₁₁	1	1	yes	characteristic, complemented
636	#405	C₂²×C₁₁	1	1	yes	characteristic, complemented
637	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
638	C₂²×C₁₁	—	2	1	no	—
639	C₂²×C₁₁	—	2	1	no	—
640	C₂²×C₁₁	—	2	1	no	—
641	C₂²×C₁₁	—	2	1	no	—
642	C₂²×C₁₁	—	2	1	no	—
643	C₂²×C₁₁	—	2	1	no	—
644	C₂²×C₁₁	—	2	4	no	—
645	C₂²×C₁₁	—	2	1	no	—
646	C₂²×C₁₁	—	2	1	no	—
647	C₂²×C₁₁	—	4	2	no	—
648	C₂²×C₁₁	—	4	2	no	—
649	C₂²×C₁₁	—	4	2	no	—
650	C₂²×C₁₁	—	4	2	no	—
651	C₂²×C₁₁	—	4	2	no	—
652	C₂²×C₁₁	—	4	2	no	—
653	C₂²×C₁₁	—	4	2	no	—
654	C₂²×C₁₁	—	4	2	no	—
655	C₂²×C₁₁	—	8	8	no	—
656	C₂²×C₁₁	—	16	4	no	—
657	C₂²×C₁₁	#576	1	2	yes	—
658	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
659	C₄×C₁₁	—	2	1	no	—
660	C₄×C₁₁	—	2	1	no	—
661	C₄×C₁₁	—	2	1	no	—
662	C₄×C₁₁	—	2	1	no	—
663	C₄×C₁₁	—	2	1	no	—
664	C₄×C₁₁	—	2	1	no	—
665	C₄×C₁₁	—	2	1	no	—
666	C₄×C₁₁	—	2	1	no	—
667	C₄×C₁₁	—	2	1	no	—
668	C₄×C₁₁	—	2	1	no	—
669	C₄×C₁₁	—	2	1	no	—
670	C₄×C₁₁	—	4	2	no	—
671	C₄×C₁₁	—	4	2	no	—
672	C₄×C₁₁	—	4	2	no	—
673	C₄×C₁₁	—	4	2	no	—
674	C₄×C₁₁	—	4	2	no	—
675	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
676	C₄×C₁₁	#585	1	1	yes	characteristic
677	C₂×#41	—	2	2	no	—
678	C₂×#41	C₂³×C₁₁	1	2	yes	—
679	C₂²×D₄	—	2	2	no	—
680	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
681	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
682	C₂³×C₄	—	2	2	no	—
683	#135	—	2	4	no	—
684	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
685	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
686	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
687	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
688	C₂×D₈	—	2	4	no	—
689	C₂×D₈	—	2	4	no	—
690	C₂×D₈	C₂³×C₁₁	1	2	yes	—
691	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
692	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
693	C₂×D₈	C₂³×C₁₁	1	2	yes	—
694	C₂×D₈	C₂³×C₁₁	1	2	yes	—
695	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
696	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
697	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
698	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
699	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
700	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
701	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
702	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
703	#127	C₂³×C₁₁	1	2	yes	—
704	#126	—	2	2	no	—
705	#126	—	2	2	no	—
706	#126	—	2	2	no	—
707	#126	—	2	2	no	—
708	#126	D₄×C₁₁	1	1	yes	characteristic
709	#126	D₄×C₁₁	1	1	yes	characteristic
710	#125	—	2	2	no	—
711	#125	D₄×C₁₁	1	1	yes	characteristic
712	#125	C₂³×C₁₁	1	2	yes	—
713	#125	C₂³×C₁₁	1	2	yes	—
714	#124	—	2	2	no	—
715	#124	—	2	2	no	—
716	#124	D₄×C₁₁	1	1	yes	characteristic
717	#124	C₂³×C₁₁	1	2	yes	—
718	#124	C₂³×C₁₁	1	2	yes	—
719	#123	—	2	2	no	—
720	#123	—	2	2	no	—
721	#123	—	2	2	no	—
722	#123	—	2	2	no	—
723	#123	—	2	2	no	—
724	#123	—	2	2	no	—
725	#123	—	2	2	no	—
726	#123	—	2	2	no	—
727	#123	—	2	2	no	—
728	#123	—	2	2	no	—
729	#123	—	2	2	no	—
730	#123	—	2	2	no	—
731	#123	D₄×C₁₁	1	1	yes	characteristic
732	#123	D₄×C₁₁	1	1	yes	characteristic
733	C₂²⋊Q₈	—	2	2	no	—
734	C₂²⋊Q₈	—	2	2	no	—
735	C₂²⋊Q₈	—	2	2	no	—
736	C₂²⋊Q₈	—	2	2	no	—
737	C₂²⋊Q₈	—	2	2	no	—
738	C₂²⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
739	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
740	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
741	#121	—	2	2	no	—
742	#121	—	2	2	no	—
743	#121	—	2	2	no	—
744	#121	—	2	2	no	—
745	#121	—	2	2	no	—
746	#121	—	2	2	no	—
747	#121	D₄×C₁₁	1	1	yes	characteristic
748	#121	C₂³×C₁₁	1	2	yes	—
749	#121	C₂³×C₁₁	1	2	yes	—
750	#121	C₂³×C₁₁	1	2	yes	—
751	#121	C₂³×C₁₁	1	2	yes	—
752	#120	—	2	2	no	—
753	#120	—	2	2	no	—
754	#120	—	2	2	no	—
755	#120	—	2	2	no	—
756	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
757	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
758	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
759	C₄×D₄	—	2	2	no	—
760	C₄×D₄	—	2	2	no	—
761	C₄×D₄	—	2	2	no	—
762	C₄×D₄	—	2	2	no	—
763	C₄×D₄	—	2	2	no	—
764	C₄×D₄	—	2	2	no	—
765	C₄×D₄	—	2	2	no	—
766	C₄×D₄	—	2	2	no	—
767	C₄×D₄	—	2	2	no	—
768	C₄×D₄	C₂³×C₁₁	1	2	yes	—
769	C₄×D₄	C₂³×C₁₁	1	2	yes	—
770	C₄×D₄	C₂³×C₁₁	1	2	yes	—
771	C₄×D₄	C₂³×C₁₁	1	2	yes	—
772	C₄×D₄	C₂³×C₁₁	1	2	yes	—
773	C₄×D₄	C₂³×C₁₁	1	2	yes	—
774	C₄×D₄	C₂³×C₁₁	1	2	yes	—
775	C₄×D₄	C₂³×C₁₁	1	2	yes	—
776	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
777	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
778	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
779	#117	—	2	2	no	—
780	#117	—	2	2	no	—
781	#117	—	2	2	no	—
782	#117	C₂³×C₁₁	1	2	yes	—
783	#117	C₂³×C₁₁	1	1	yes	characteristic
784	#117	C₂³×C₁₁	1	1	yes	characteristic
785	C₂×C₄⋊C₄	—	2	2	no	—
786	C₂×C₄⋊C₄	—	2	2	no	—
787	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
788	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
789	C₂×C₂²⋊C₄	—	2	2	no	—
790	C₂×C₂²⋊C₄	—	2	2	no	—
791	C₂×C₂²⋊C₄	—	2	2	no	—
792	C₂×C₂²⋊C₄	—	2	2	no	—
793	C₂×C₂²⋊C₄	—	2	2	no	—
794	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
795	#107	C₂³×C₁₁	1	1	yes	characteristic
796	#107	C₂³×C₁₁	1	1	yes	characteristic
797	#107	C₂³×C₁₁	1	1	yes	characteristic
798	#107	C₂³×C₁₁	1	2	yes	—
799	#107	C₂³×C₁₁	1	2	yes	—
800	#107	C₂³×C₁₁	1	1	yes	characteristic
801	#107	C₂³×C₁₁	1	2	yes	—
802	#106	C₂³×C₁₁	1	2	yes	—
803	#106	C₂³×C₁₁	1	2	yes	—
804	#106	C₂³×C₁₁	1	2	yes	—
805	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
806	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
807	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
808	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
809	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
810	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
811	#103	C₂³×C₁₁	1	2	yes	—
812	#103	C₂³×C₁₁	1	2	yes	—
813	#103	C₂³×C₁₁	1	2	yes	—
814	#103	C₂³×C₁₁	1	2	yes	—
815	#102	C₂³×C₁₁	1	2	yes	—
816	#102	C₂³×C₁₁	1	2	yes	—
817	#102	C₂³×C₁₁	1	2	yes	—
818	#102	C₂³×C₁₁	1	2	yes	—
819	#102	C₂³×C₁₁	1	2	yes	—
820	#102	C₂³×C₁₁	1	2	yes	—
821	#102	C₂³×C₁₁	1	2	yes	—
822	#102	C₂³×C₁₁	1	2	yes	—
823	#102	C₂³×C₁₁	1	2	yes	—
824	#102	C₂³×C₁₁	1	2	yes	—
825	#102	C₂³×C₁₁	1	2	yes	—
826	#102	C₂³×C₁₁	1	2	yes	—
827	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
828	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
829	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
830	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
831	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
832	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
833	#97	C₂³×C₁₁	1	1	yes	characteristic
834	#97	C₂³×C₁₁	1	1	yes	characteristic
835	#97	C₂³×C₁₁	1	1	yes	characteristic
836	#97	C₂³×C₁₁	1	1	yes	characteristic
837	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
838	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
839	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
840	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
841	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
842	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
843	C₂×C₁₁	—	2	2	no	—
844	C₂×C₁₁	—	4	1	no	—
845	C₂×C₁₁	—	4	1	no	—
846	C₂×C₁₁	—	4	4	no	—
847	C₂×C₁₁	—	8	2	no	—
848	C₂×C₁₁	—	8	2	no	—
849	C₂×C₁₁	D₄×#41	1	1	yes	characteristic
850	C₂×C₁₁	C₂×#576	1	1	yes	characteristic
851	C₂×C₁₁	#3584	1	1	yes	characteristic
852	C₂⁴	—	2	2	no	—
853	C₂⁴	—	2	2	no	—
854	#41	—	2	4	no	—
855	#41	—	4	2	no	—
856	#41	—	8	4	no	—
857	C₂×Q₈	—	2	2	no	—
858	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
859	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
860	C₂×D₄	—	2	4	no	—
861	C₂×D₄	—	2	4	no	—
862	C₂×D₄	—	2	2	no	—
863	C₂×D₄	—	2	2	no	—
864	C₂×D₄	—	2	2	no	—
865	C₂×D₄	—	2	2	no	—
866	C₂×D₄	—	2	2	no	—
867	C₂×D₄	—	2	2	no	—
868	C₂×D₄	—	2	2	no	—
869	C₂×D₄	—	2	2	no	—
870	C₂×D₄	—	2	2	no	—
871	C₂×D₄	—	4	2	no	—
872	C₂×D₄	—	4	2	no	—
873	C₂×D₄	—	8	4	no	—
874	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
875	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
876	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
877	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
878	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
879	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
880	C₂²×C₄	—	2	2	no	—
881	C₂²×C₄	—	2	2	no	—
882	C₂²×C₄	—	2	2	no	—
883	C₂²×C₄	—	2	2	no	—
884	C₂²×C₄	—	2	2	no	—
885	C₂²×C₄	—	2	2	no	—
886	C₂²×C₄	—	2	2	no	—
887	C₂²×C₄	—	2	2	no	—
888	C₂²×C₄	—	2	2	no	—
889	C₂²×C₄	—	2	2	no	—
890	C₂²×C₄	—	2	2	no	—
891	C₂²×C₄	—	8	4	no	—
892	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
893	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
894	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
895	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
896	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
897	Q₁₆	—	2	2	no	—
898	SD₁₆	—	2	4	no	—
899	SD₁₆	—	4	2	no	—
900	SD₁₆	—	4	2	no	—
901	D₈	—	2	4	no	—
902	D₈	—	2	4	no	—
903	D₈	—	2	2	no	—
904	D₈	—	2	2	no	—
905	D₈	—	4	2	no	—
906	D₈	C₁₁×#41	1	4	yes	complemented
907	M₁₆	—	4	1	no	—
908	M₁₆	—	4	1	no	—
909	C₂×C₈	—	2	2	no	—
910	C₂×C₈	—	2	2	no	—
911	C₂×C₈	—	2	2	no	—
912	C₂×C₈	—	4	1	no	—
913	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
914	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
915	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
916	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
917	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
918	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
919	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
920	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	—	2	2	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
933	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
934	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
935	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
936	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
937	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
938	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
939	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
940	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
941	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
942	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
943	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
944	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
945	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
946	C₂²⋊C₄	—	2	2	no	—
947	C₂²⋊C₄	—	2	2	no	—
948	C₂²⋊C₄	—	2	2	no	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	2	no	—
952	C₂²⋊C₄	—	2	2	no	—
953	C₂²⋊C₄	—	2	2	no	—
954	C₂²⋊C₄	—	2	2	no	—
955	C₂²⋊C₄	—	2	2	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	2	no	—
958	C₂²⋊C₄	—	2	2	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
966	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
967	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
968	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
969	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
970	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
971	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
972	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
973	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
974	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
975	C₄²	—	2	2	no	—
976	C₄²	—	2	2	no	—
977	C₄²	—	2	2	no	—
978	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
979	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
980	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
981	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
982	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
983	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
984	C₁₁	#61471	1	1	yes	characteristic, direct product factor, Sylow
985	C₂³	—	2	2	no	—
986	C₂³	—	2	2	no	—
987	C₂³	—	2	2	no	—
988	C₂³	—	4	4	no	—
989	C₂³	—	4	4	no	—
990	C₂³	—	4	4	no	—
991	C₂³	—	8	2	no	—
992	C₂³	—	8	2	no	—
993	C₂³	—	8	2	no	—
994	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
995	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
996	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
997	Q₈	—	2	2	no	—
998	Q₈	—	2	2	no	—
999	Q₈	—	4	1	no	—
1000	Q₈	—	8	2	no	—
1001	D₄	—	2	2	no	—
1002	D₄	—	2	2	no	—
1003	D₄	—	2	2	no	—
1004	D₄	—	2	2	no	—
1005	D₄	—	2	2	no	—
1006	D₄	—	2	2	no	—
1007	D₄	—	2	2	no	—
1008	D₄	—	4	1	no	—
1009	D₄	—	4	4	no	—
1010	D₄	—	4	4	no	—
1011	D₄	—	4	4	no	—
1012	D₄	—	4	4	no	—
1013	D₄	—	8	2	no	—
1014	D₄	—	8	2	no	—
1015	D₄	—	8	2	no	—
1016	D₄	—	8	2	no	—
1017	D₄	—	8	2	no	—
1018	D₄	C₂×C₁₁×#41	1	4	yes	—
1019	C₂×C₄	—	2	2	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	4	1	no	—
1032	C₂×C₄	—	4	4	no	—
1033	C₂×C₄	—	4	4	no	—
1034	C₂×C₄	—	8	2	no	—
1035	C₂×C₄	—	8	2	no	—
1036	C₂×C₄	—	8	2	no	—
1037	C₂×C₄	—	8	2	no	—
1038	C₂×C₄	—	8	2	no	—
1039	C₂×C₄	—	8	2	no	—
1040	C₂×C₄	—	8	2	no	—
1041	C₂×C₄	—	8	2	no	—
1042	C₂×C₄	—	8	2	no	—
1043	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1044	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1045	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1046	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1047	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1048	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1049	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1050	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1051	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1052	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1053	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1054	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
1055	C₈	—	2	1	no	—
1056	C₈	—	2	1	no	—
1057	C₈	—	2	1	no	—
1058	C₈	—	2	1	no	—
1059	C₈	—	2	1	no	—
1060	C₈	—	2	1	no	—
1061	C₈	—	2	1	no	—
1062	C₈	C₂×C₁₁×#41	1	2	yes	—
1063	C₂²	—	2	1	no	—
1064	C₂²	—	2	1	no	—
1065	C₂²	—	2	1	no	—
1066	C₂²	—	2	1	no	—
1067	C₂²	—	2	4	no	—
1068	C₂²	—	2	1	no	—
1069	C₂²	—	2	1	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	2	1	no	—
1072	C₂²	—	4	2	no	—
1073	C₂²	—	4	2	no	—
1074	C₂²	—	4	2	no	—
1075	C₂²	—	4	2	no	—
1076	C₂²	—	4	2	no	—
1077	C₂²	—	4	2	no	—
1078	C₂²	—	4	2	no	—
1079	C₂²	—	4	2	no	—
1080	C₂²	—	8	8	no	—
1081	C₂²	—	16	4	no	—
1082	C₂²	C₁₁×#576	1	2	yes	—
1083	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
1084	C₄	—	2	1	no	—
1085	C₄	—	2	1	no	—
1086	C₄	—	2	1	no	—
1087	C₄	—	2	1	no	—
1088	C₄	—	2	1	no	—
1089	C₄	—	2	1	no	—
1090	C₄	—	2	1	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	2	1	no	—
1093	C₄	—	2	1	no	—
1094	C₄	—	2	1	no	—
1095	C₄	—	4	2	no	—
1096	C₄	—	4	2	no	—
1097	C₄	—	4	2	no	—
1098	C₄	—	4	2	no	—
1099	C₄	—	4	2	no	—
1100	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
1101	C₄	C₁₁×#585	1	1	yes	characteristic
1102	C₂	—	2	2	no	—
1103	C₂	—	4	1	no	—
1104	C₂	—	4	1	no	—
1105	C₂	—	4	4	no	—
1106	C₂	—	8	2	no	—
1107	C₂	—	8	2	no	—
1108	C₂	D₄×C₁₁×#41	1	1	yes	characteristic
1109	C₂	C₂×C₁₁×#576	1	1	yes	characteristic
1110	C₂	C₁₁×#3584	1	1	yes	characteristic

	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 ◁ C₁₁×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3513	C₂	semidirect
2. C₁₁×#3396	C₂	semidirect
3. C₁₁×#3380	C₂	semidirect
4. C₁₁×#3370	C₂	semidirect
5. C₁₁×#3339	C₂	semidirect
6. C₁₁×#3336	C₂	semidirect
7. C₁₁×#3334	C₂	semidirect
8. C₁₁×#3322	C₂	semidirect
9. C₁₁×#3310	C₂	semidirect
10. C₁₁×#3306	C₂	semidirect
11. C₁₁×#3280	C₂	semidirect
12. C₁₁×#3280	C₂	semidirect
13. D₄×C₁₁×D₈	C₂	semidirect
14. C₁₁×#3176	C₂	semidirect
15. C₁₁×#3175	C₂	semidirect
16. C₁₁×#3168	C₂	semidirect
17. C₁₁×#3119	C₂	semidirect
18. C₁₁×#3118	C₂	semidirect
19. C₁₁×#3114	C₂	semidirect
20. C₁₁×#2966	C₂	semidirect
21. C₁₁×#2951	C₂	semidirect
22. C₁₁×#2948	C₂	semidirect
23. C₂×C₄×C₁₁×D₈	C₂	semidirect
27. C₁₁×#559	C₂²	semidirect
28. C₁₁×#554	C₂²	semidirect
30. C₁₁×#553	C₂²	semidirect
34. C₁₁×#547	C₂²	semidirect
36. C₁₁×#546	C₂²	semidirect
37. C₁₁×#546	C₂²	semidirect
39. C₁₁×#542	C₂²	semidirect
40. C₁₁×#540	C₂²	semidirect
44. C₁₁×#529	C₂²	semidirect
47. C₁₁×#520	C₂²	semidirect
48. C₁₁×#518	C₂²	semidirect
49. C₂×C₄×D₄×C₁₁	C₂²	semidirect
50. C₁₁×#500	C₂²	semidirect
51. C₁₁×#499	C₂²	semidirect
52. C₁₁×#499	C₂²	semidirect
53. C₁₁×#495	C₂²	semidirect
54. C₁₁×#495	C₂²	semidirect
56. C₁₁×#490	C₂²	semidirect
57. C₁₁×#489	C₂²	semidirect
58. C₁₁×#488	C₂²	semidirect
59. C₁₁×#485	C₂²	semidirect
60. C₁₁×#483	C₂²	semidirect
61. C₁₁×#482	C₂²	semidirect
62. C₁₁×#481	C₂²	semidirect
63. C₁₁×#480	C₂²	semidirect
64. C₁₁×#480	C₂²	semidirect
65. C₁₁×#479	C₂²	semidirect
66. C₁₁×#478	C₂²	semidirect
67. C₁₁×#478	C₂²	semidirect
68. C₁₁×#478	C₂²	semidirect
69. C₁₁×#476	C₂²	semidirect
70. C₁₁×#474	C₂²	semidirect
71. C₁₁×#469	C₂²	semidirect
72. C₁₁×#468	C₂²	semidirect
73. C₁₁×#467	C₂²	semidirect
74. C₁₁×#467	C₂²	semidirect
77. C₁₁×#466	C₂²	semidirect
78. C₁₁×#466	C₂²	semidirect
79. C₁₁×#465	C₂²	semidirect
80. C₁₁×#463	C₂²	semidirect
81. C₁₁×#463	C₂²	semidirect
82. C₁₁×#463	C₂²	semidirect
83. C₁₁×#463	C₂²	semidirect
84. C₁₁×#460	C₂²	semidirect
86. C₁₁×#450	C₂²	semidirect
87. C₁₁×#450	C₂²	semidirect
88. C₁₁×#449	C₂²	semidirect
89. C₁₁×#449	C₂²	semidirect
92. C₁₁×#446	C₂²	semidirect
93. C₈×Q₈×C₁₁	C₂²	semidirect
94. C₁₁×#442	C₂²	semidirect
95. C₁₁×#442	C₂²	semidirect
96. C₁₁×#442	C₂²	semidirect
97. C₁₁×#440	C₂²	semidirect
98. C₁₁×#440	C₂²	semidirect
99. C₁₁×#440	C₂²	semidirect
100. C₄×C₁₁×Q₁₆	C₂²	semidirect
101. C₄×C₁₁×Q₁₆	C₂²	semidirect
102. C₄×C₁₁×SD₁₆	C₂²	semidirect
107. C₄×C₁₁×D₈	C₂²	semidirect
108. C₄×C₁₁×D₈	C₂²	semidirect
109. C₄×C₁₁×D₈	C₂²	semidirect
110. C₄×C₁₁×D₈	C₂²	semidirect
111. C₄×C₁₁×D₈	C₂²	semidirect
112. C₄×C₁₁×D₈	C₂²	semidirect
113. C₁₁×#436	C₂²	semidirect
115. C₁₁×#435	C₂²	semidirect
117. C₈×D₄×C₁₁	C₂²	semidirect
118. C₈×D₄×C₁₁	C₂²	semidirect
119. C₁₁×#433	C₂²	semidirect
120. C₁₁×#433	C₂²	semidirect
121. C₁₁×#432	C₂²	semidirect
122. C₁₁×#427	C₂²	semidirect
123. C₂×C₁₁×#107	C₂²	semidirect
124. C₂×C₁₁×#107	C₂²	semidirect
125. C₁₁×#418	C₂²	semidirect
126. C₁₁×#417	C₂²	semidirect
127. C₂×C₁₁×#102	C₂²	semidirect
128. C₁₁×#405	C₂²	semidirect
129. C₁₁×#405	C₂²	semidirect
130. C₂×C₄×C₈×C₁₁	C₂²	semidirect
297. #61471	C₁₁	direct (N × H)
352. C₁₁×D₈	#41	semidirect
430. #3513	C₂×C₁₁	semidirect
431. #3396	C₂×C₁₁	semidirect
432. #3380	C₂×C₁₁	semidirect
433. #3370	C₂×C₁₁	semidirect
434. #3339	C₂×C₁₁	semidirect
435. #3336	C₂×C₁₁	semidirect
436. #3334	C₂×C₁₁	semidirect
437. #3322	C₂×C₁₁	semidirect
438. #3310	C₂×C₁₁	semidirect
439. #3306	C₂×C₁₁	semidirect
440. #3280	C₂×C₁₁	semidirect
441. #3280	C₂×C₁₁	semidirect
442. D₄×D₈	C₂×C₁₁	semidirect
443. #3176	C₂×C₁₁	semidirect
444. #3175	C₂×C₁₁	semidirect
445. #3168	C₂×C₁₁	semidirect
446. #3119	C₂×C₁₁	semidirect
447. #3118	C₂×C₁₁	semidirect
448. #3114	C₂×C₁₁	semidirect
449. #2966	C₂×C₁₁	semidirect
450. #2951	C₂×C₁₁	semidirect
451. #2948	C₂×C₁₁	semidirect
452. C₂×C₄×D₈	C₂×C₁₁	semidirect
534. #559	C₂²×C₁₁	semidirect
535. #554	C₂²×C₁₁	semidirect
537. #553	C₂²×C₁₁	semidirect
541. #547	C₂²×C₁₁	semidirect
543. #546	C₂²×C₁₁	semidirect
544. #546	C₂²×C₁₁	semidirect
546. #542	C₂²×C₁₁	semidirect
547. #540	C₂²×C₁₁	semidirect
551. #529	C₂²×C₁₁	semidirect
554. #520	C₂²×C₁₁	semidirect
555. #518	C₂²×C₁₁	semidirect
556. C₂×C₄×D₄	C₂²×C₁₁	semidirect
557. #500	C₂²×C₁₁	semidirect
558. #499	C₂²×C₁₁	semidirect
559. #499	C₂²×C₁₁	semidirect
560. #495	C₂²×C₁₁	semidirect
561. #495	C₂²×C₁₁	semidirect
563. #490	C₂²×C₁₁	semidirect
564. #489	C₂²×C₁₁	semidirect
565. #488	C₂²×C₁₁	semidirect
566. #485	C₂²×C₁₁	semidirect
567. #483	C₂²×C₁₁	semidirect
568. #482	C₂²×C₁₁	semidirect
569. #481	C₂²×C₁₁	semidirect
570. #480	C₂²×C₁₁	semidirect
571. #480	C₂²×C₁₁	semidirect
572. #479	C₂²×C₁₁	semidirect
573. #478	C₂²×C₁₁	semidirect
574. #478	C₂²×C₁₁	semidirect
575. #478	C₂²×C₁₁	semidirect
576. #476	C₂²×C₁₁	semidirect
577. #474	C₂²×C₁₁	semidirect
578. #469	C₂²×C₁₁	semidirect
579. #468	C₂²×C₁₁	semidirect
580. #467	C₂²×C₁₁	semidirect
581. #467	C₂²×C₁₁	semidirect
584. #466	C₂²×C₁₁	semidirect
585. #466	C₂²×C₁₁	semidirect
586. #465	C₂²×C₁₁	semidirect
587. #463	C₂²×C₁₁	semidirect
588. #463	C₂²×C₁₁	semidirect
589. #463	C₂²×C₁₁	semidirect
590. #463	C₂²×C₁₁	semidirect
591. #460	C₂²×C₁₁	semidirect
593. #450	C₂²×C₁₁	semidirect
594. #450	C₂²×C₁₁	semidirect
595. #449	C₂²×C₁₁	semidirect
596. #449	C₂²×C₁₁	semidirect
599. #446	C₂²×C₁₁	semidirect
600. C₈×Q₈	C₂²×C₁₁	semidirect
601. #442	C₂²×C₁₁	semidirect
602. #442	C₂²×C₁₁	semidirect
603. #442	C₂²×C₁₁	semidirect
604. #440	C₂²×C₁₁	semidirect
605. #440	C₂²×C₁₁	semidirect
606. #440	C₂²×C₁₁	semidirect
607. C₄×Q₁₆	C₂²×C₁₁	semidirect
608. C₄×Q₁₆	C₂²×C₁₁	semidirect
609. C₄×SD₁₆	C₂²×C₁₁	semidirect
614. C₄×D₈	C₂²×C₁₁	semidirect
615. C₄×D₈	C₂²×C₁₁	semidirect
616. C₄×D₈	C₂²×C₁₁	semidirect
617. C₄×D₈	C₂²×C₁₁	semidirect
618. C₄×D₈	C₂²×C₁₁	semidirect
619. C₄×D₈	C₂²×C₁₁	semidirect
620. #436	C₂²×C₁₁	semidirect
622. #435	C₂²×C₁₁	semidirect
624. C₈×D₄	C₂²×C₁₁	semidirect
625. C₈×D₄	C₂²×C₁₁	semidirect
626. #433	C₂²×C₁₁	semidirect
627. #433	C₂²×C₁₁	semidirect
628. #432	C₂²×C₁₁	semidirect
629. #427	C₂²×C₁₁	semidirect
630. C₂×#107	C₂²×C₁₁	semidirect
631. C₂×#107	C₂²×C₁₁	semidirect
632. #418	C₂²×C₁₁	semidirect
633. #417	C₂²×C₁₁	semidirect
634. C₂×#102	C₂²×C₁₁	semidirect
635. #405	C₂²×C₁₁	semidirect
636. #405	C₂²×C₁₁	semidirect
637. C₂×C₄×C₈	C₂²×C₁₁	semidirect
906. D₈	C₁₁×#41	semidirect
984. C₁₁	#61471	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×#3513	2
C₁₁×#3396	2
C₁₁×#3380	2
C₁₁×#3370	2
C₁₁×#3339	2
C₁₁×#3336	2
C₁₁×#3334	2
C₁₁×#3322	2
C₁₁×#3310	2
C₁₁×#3306	2
C₁₁×#3280	2
D₄×C₁₁×D₈	2
C₁₁×#3176	2
C₁₁×#3175	2
C₁₁×#3168	2
C₁₁×#3119	2
C₁₁×#3118	2
C₁₁×#3114	2
C₁₁×#2966	2
C₁₁×#2951	2
C₁₁×#2948	2
C₂×C₄×C₁₁×D₈	2
#61471	11

Subgroups — C11×#61471 #14638664

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61471 #14638664