Subgroups — C₁₁×#59960 #14637153

Order 2816.

1700 conjugacy classes of subgroups.

The subgroup lattice has 912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2765	C₂	1	2	yes	maximal, complemented
2	C₁₁×#2690	C₂	1	2	yes	maximal, complemented
3	C₁₁×#2599	C₂	1	2	yes	maximal, complemented
4	C₁₁×#2573	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2530	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2527	C₂	1	2	yes	maximal, complemented
7	C₁₁×#2514	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#2511	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2509	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#2507	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2484	C₂	1	2	yes	maximal, complemented
12	C₁₁×#2452	C₂	1	1	yes	maximal, characteristic
13	C₁₁×#2451	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#2447	C₂	1	1	yes	maximal, characteristic
15	C₁₁×#2447	C₂	1	1	yes	maximal, characteristic
16	C₁₁×#2367	C₂	1	1	yes	maximal, characteristic
17	C₁₁×#2365	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#2360	C₂	1	2	yes	maximal, complemented
19	C₁₁×#2357	C₂	1	1	yes	maximal, characteristic
20	D₄×C₁₁×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
21	C₄×C₁₁×#125	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₁×#2295	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2293	C₂	1	1	yes	maximal, characteristic
24	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic
26	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic
27	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
28	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
29	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	—
30	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
31	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
32	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
33	C₂×C₁₁×#117	C₂²	1	2	yes	—
34	C₂²×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
35	C₁₁×#401	C₂²	1	2	yes	—
36	C₁₁×#400	C₂²	1	2	yes	—
37	C₁₁×#400	C₂²	1	2	yes	—
38	C₁₁×#400	C₂²	1	2	yes	—
39	C₁₁×#400	C₂²	1	2	yes	—
40	C₁₁×#400	C₂²	1	2	yes	—
41	C₁₁×#398	C₂²	1	2	yes	—
42	C₁₁×#398	C₂²	1	2	yes	—
43	C₁₁×#398	C₂²	1	2	yes	—
44	C₁₁×#397	C₂²	1	2	yes	—
45	C₁₁×#397	C₂²	1	2	yes	—
46	C₁₁×#397	C₂²	1	2	yes	—
47	C₁₁×#397	C₂²	1	2	yes	—
48	C₁₁×#396	C₂²	1	2	yes	—
49	C₁₁×#395	C₂²	1	2	yes	—
50	C₁₁×#393	C₂²	1	2	yes	—
51	C₁₁×#391	C₂²	1	2	yes	—
52	C₁₁×#391	C₂²	1	1	yes	characteristic
53	C₁₁×#391	C₂²	1	1	yes	characteristic
54	C₁₁×#391	C₂²	1	1	yes	characteristic
55	C₁₁×#391	C₂²	1	1	yes	characteristic
56	C₁₁×#391	C₂²	1	2	yes	—
57	C₁₁×#391	C₂²	1	1	yes	characteristic
58	C₁₁×#390	C₂²	1	1	yes	characteristic
59	C₁₁×#390	C₂²	1	1	yes	characteristic
60	C₁₁×#390	C₂²	1	1	yes	characteristic
61	C₁₁×#389	C₂²	1	1	yes	characteristic
62	C₁₁×#389	C₂²	1	1	yes	characteristic
63	C₁₁×#389	C₂²	1	1	yes	characteristic
64	C₁₁×#389	C₂²	1	1	yes	characteristic
65	C₁₁×#389	C₂²	1	1	yes	characteristic
66	C₁₁×#389	C₂²	1	1	yes	characteristic
67	C₁₁×#389	C₂²	1	2	yes	—
68	C₁₁×#389	C₂²	1	2	yes	—
69	C₁₁×#389	C₂²	1	1	yes	characteristic
70	C₁₁×#389	C₂²	1	1	yes	characteristic
71	C₁₁×#389	C₂²	1	1	yes	characteristic
72	C₁₁×#389	C₂²	1	1	yes	characteristic
73	C₁₁×#388	C₂²	1	2	yes	—
74	C₁₁×#388	C₂²	1	2	yes	—
75	C₁₁×#388	C₂²	1	2	yes	—
76	C₁₁×#388	C₂²	1	2	yes	—
77	C₁₁×#388	C₂²	1	2	yes	—
78	C₁₁×#388	C₂²	1	2	yes	—
79	C₁₁×#387	C₂²	1	2	yes	—
80	C₁₁×#387	C₂²	1	2	yes	—
81	C₁₁×#387	C₂²	1	2	yes	—
82	C₁₁×#387	C₂²	1	1	yes	characteristic
83	C₁₁×#387	C₂²	1	2	yes	—
84	C₁₁×#387	C₂²	1	2	yes	—
85	C₁₁×#387	C₂²	1	2	yes	—
86	C₁₁×#387	C₂²	1	2	yes	—
87	C₁₁×#387	C₂²	1	2	yes	—
88	C₁₁×#387	C₂²	1	2	yes	—
89	C₁₁×#387	C₂²	1	2	yes	—
90	C₁₁×#387	C₂²	1	1	yes	characteristic
91	C₁₁×#387	C₂²	1	1	yes	characteristic
92	C₁₁×#387	C₂²	1	1	yes	characteristic
93	C₁₁×#385	C₂²	1	2	yes	—
94	C₁₁×#385	C₂²	1	2	yes	—
95	C₁₁×#385	C₂²	1	2	yes	—
96	C₁₁×#385	C₂²	1	2	yes	—
97	C₁₁×#385	C₂²	1	2	yes	—
98	C₁₁×#385	C₂²	1	2	yes	—
99	C₁₁×#384	C₂²	1	1	yes	characteristic
100	C₁₁×#383	C₂²	1	2	yes	—
101	C₁₁×#382	C₂²	1	1	yes	characteristic
102	C₁₁×#382	C₂²	1	1	yes	characteristic
103	C₁₁×#381	C₂²	1	2	yes	—
104	C₁₁×#381	C₂²	1	2	yes	—
105	C₁₁×#381	C₂²	1	2	yes	—
106	C₁₁×#380	C₂²	1	2	yes	—
107	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
108	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
109	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
110	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
113	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
116	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
118	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
119	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₁₁×#376	C₂²	1	2	yes	—
122	C₄³×C₁₁	C₂²	1	1	yes	characteristic
123	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
124	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
125	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
127	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
128	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
129	C₁₁×C₄⋊Q₈	—	2	4	no	—
130	C₁₁×#125	—	2	4	no	—
131	C₁₁×#124	—	2	4	no	—
132	C₁₁×C₂²⋊Q₈	—	2	8	no	—
133	C₄×Q₈×C₁₁	—	2	4	no	—
134	C₄×Q₈×C₁₁	—	4	4	no	—
135	C₄×D₄×C₁₁	—	2	4	no	—
136	C₄×D₄×C₁₁	—	2	4	no	—
137	C₄×D₄×C₁₁	—	2	4	no	—
138	C₁₁×#117	—	4	4	no	—
139	C₂×C₁₁×C₄⋊C₄	—	4	4	no	—
140	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
141	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
142	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
143	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
144	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
145	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
146	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
147	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
148	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
150	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
151	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
152	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
153	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
154	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
155	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
156	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
157	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
158	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
159	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
160	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
161	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
162	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
163	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
164	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
165	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
167	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
168	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
169	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
170	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
173	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
174	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
175	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
178	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
179	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
181	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
182	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
183	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
184	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
185	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
186	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
187	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
188	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
189	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
190	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
191	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
193	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
194	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
195	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
196	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
197	C₁₁×#95	C₂³	1	2	yes	—
198	C₁₁×#95	C₂³	1	2	yes	—
199	C₁₁×#95	C₂³	1	2	yes	—
200	C₁₁×#95	C₂³	1	2	yes	—
201	C₁₁×#95	C₂³	1	1	yes	characteristic
202	C₁₁×#95	C₂³	1	1	yes	characteristic
203	C₁₁×#95	C₂³	1	2	yes	—
204	C₁₁×#95	C₂³	1	2	yes	—
205	C₁₁×#95	C₂³	1	2	yes	—
206	C₁₁×#95	C₂³	1	2	yes	—
207	C₁₁×#95	C₂³	1	1	yes	characteristic
208	C₁₁×#95	C₂³	1	1	yes	characteristic
209	C₁₁×#95	C₂³	1	1	yes	characteristic
210	C₁₁×#95	C₂³	1	2	yes	—
211	C₁₁×#95	C₂³	1	2	yes	—
212	C₁₁×#95	C₂³	1	2	yes	—
213	C₁₁×#95	C₂³	1	1	yes	characteristic
214	C₁₁×#95	C₂³	1	1	yes	characteristic
215	C₁₁×#95	C₂³	1	1	yes	characteristic
216	C₁₁×#95	C₂³	1	1	yes	characteristic
217	C₁₁×#95	C₂³	1	1	yes	characteristic
218	C₁₁×#95	C₂³	1	2	yes	—
219	C₁₁×#95	C₂³	1	2	yes	—
220	C₁₁×#95	C₂³	1	1	yes	characteristic
221	C₁₁×#95	C₂³	1	1	yes	characteristic
222	C₁₁×#95	C₂³	1	2	yes	—
223	C₁₁×#95	C₂³	1	2	yes	—
224	C₁₁×#95	C₂³	1	2	yes	—
225	C₁₁×#95	C₂³	1	2	yes	—
226	C₁₁×#95	C₂³	1	2	yes	—
227	C₁₁×#95	C₂³	1	2	yes	—
228	C₁₁×#95	C₂³	1	2	yes	—
229	C₁₁×#95	C₂³	1	2	yes	—
230	C₁₁×#95	C₂³	1	2	yes	—
231	C₁₁×#95	C₂³	1	2	yes	—
232	C₁₁×#95	C₂³	1	2	yes	—
233	#59960	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
234	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
235	C₂×Q₈×C₁₁	—	2	2	no	—
236	C₂×Q₈×C₁₁	—	2	4	no	—
237	C₂×Q₈×C₁₁	—	2	2	no	—
238	C₂×Q₈×C₁₁	—	2	4	no	—
239	C₂×Q₈×C₁₁	—	2	2	no	—
240	C₂×Q₈×C₁₁	—	4	2	no	—
241	C₂×D₄×C₁₁	—	2	2	no	—
242	C₂×D₄×C₁₁	—	2	2	no	—
243	C₂×D₄×C₁₁	#41	1	4	yes	—
244	C₂²×C₄×C₁₁	—	2	4	no	—
245	C₂²×C₄×C₁₁	—	2	4	no	—
246	C₂²×C₄×C₁₁	—	2	4	no	—
247	C₂²×C₄×C₁₁	—	2	4	no	—
248	C₂²×C₄×C₁₁	—	2	4	no	—
249	C₂²×C₄×C₁₁	—	4	2	no	—
250	C₂²×C₄×C₁₁	—	4	2	no	—
251	C₂²×C₄×C₁₁	—	4	2	no	—
252	C₂²×C₄×C₁₁	—	4	2	no	—
253	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
254	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
255	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
256	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
257	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
258	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
259	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
260	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
261	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
262	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
263	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
264	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
265	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
266	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
267	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
268	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
269	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
270	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
271	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
272	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
273	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
274	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
275	C₁₁×C₄⋊C₄	—	2	2	no	—
276	C₁₁×C₄⋊C₄	—	2	2	no	—
277	C₁₁×C₄⋊C₄	—	2	4	no	—
278	C₁₁×C₄⋊C₄	—	2	4	no	—
279	C₁₁×C₄⋊C₄	—	2	4	no	—
280	C₁₁×C₄⋊C₄	—	2	2	no	—
281	C₁₁×C₄⋊C₄	—	2	2	no	—
282	C₁₁×C₄⋊C₄	—	2	2	no	—
283	C₁₁×C₄⋊C₄	—	2	2	no	—
284	C₁₁×C₄⋊C₄	—	2	2	no	—
285	C₁₁×C₄⋊C₄	—	2	4	no	—
286	C₁₁×C₄⋊C₄	—	2	2	no	—
287	C₁₁×C₄⋊C₄	—	2	2	no	—
288	C₁₁×C₄⋊C₄	—	2	4	no	—
289	C₁₁×C₄⋊C₄	—	2	2	no	—
290	C₁₁×C₄⋊C₄	—	2	2	no	—
291	C₁₁×C₄⋊C₄	—	2	2	no	—
292	C₁₁×C₄⋊C₄	—	2	2	no	—
293	C₁₁×C₄⋊C₄	—	2	2	no	—
294	C₁₁×C₄⋊C₄	—	4	2	no	—
295	C₁₁×C₄⋊C₄	—	4	2	no	—
296	C₁₁×C₄⋊C₄	—	4	1	no	—
297	C₁₁×C₄⋊C₄	—	4	1	no	—
298	C₁₁×C₄⋊C₄	—	4	2	no	—
299	C₁₁×C₄⋊C₄	—	4	2	no	—
300	C₁₁×C₄⋊C₄	—	4	2	no	—
301	C₁₁×C₄⋊C₄	—	4	2	no	—
302	C₁₁×C₄⋊C₄	—	4	2	no	—
303	C₁₁×C₄⋊C₄	#41	1	4	yes	—
304	C₁₁×C₄⋊C₄	#41	1	4	yes	—
305	C₁₁×C₂²⋊C₄	—	2	4	no	—
306	C₁₁×C₂²⋊C₄	—	2	4	no	—
307	C₁₁×C₂²⋊C₄	—	2	4	no	—
308	C₁₁×C₂²⋊C₄	—	2	4	no	—
309	C₁₁×C₂²⋊C₄	—	2	4	no	—
310	C₁₁×C₂²⋊C₄	—	2	4	no	—
311	C₁₁×C₂²⋊C₄	—	2	4	no	—
312	C₁₁×C₂²⋊C₄	—	2	4	no	—
313	C₁₁×C₂²⋊C₄	—	4	2	no	—
314	C₁₁×C₂²⋊C₄	—	4	2	no	—
315	C₁₁×C₂²⋊C₄	—	4	2	no	—
316	C₄²×C₁₁	—	2	2	no	—
317	C₄²×C₁₁	—	2	2	no	—
318	C₄²×C₁₁	—	2	2	no	—
319	C₄²×C₁₁	—	2	2	no	—
320	C₄²×C₁₁	—	2	4	no	—
321	C₄²×C₁₁	—	2	2	no	—
322	C₄²×C₁₁	—	2	2	no	—
323	C₄²×C₁₁	—	2	2	no	—
324	C₄²×C₁₁	—	2	2	no	—
325	C₄²×C₁₁	—	2	4	no	—
326	C₄²×C₁₁	—	2	2	no	—
327	C₄²×C₁₁	—	2	2	no	—
328	C₄²×C₁₁	—	4	1	no	—
329	C₄²×C₁₁	—	4	2	no	—
330	C₄²×C₁₁	—	4	2	no	—
331	C₄²×C₁₁	—	4	2	no	—
332	#2765	C₂×C₁₁	1	2	yes	complemented
333	#2690	C₂×C₁₁	1	2	yes	complemented
334	#2599	C₂×C₁₁	1	2	yes	complemented
335	#2573	C₂×C₁₁	1	2	yes	complemented
336	#2530	C₂×C₁₁	1	2	yes	complemented
337	#2527	C₂×C₁₁	1	2	yes	complemented
338	#2514	C₂×C₁₁	1	1	yes	characteristic, complemented
339	#2511	C₂×C₁₁	1	1	yes	characteristic, complemented
340	#2509	C₂×C₁₁	1	1	yes	characteristic, complemented
341	#2507	C₂×C₁₁	1	1	yes	characteristic, complemented
342	#2484	C₂×C₁₁	1	2	yes	complemented
343	#2452	C₂×C₁₁	1	1	yes	characteristic
344	#2451	C₂×C₁₁	1	1	yes	characteristic, complemented
345	#2447	C₂×C₁₁	1	1	yes	characteristic
346	#2447	C₂×C₁₁	1	1	yes	characteristic
347	#2367	C₂×C₁₁	1	1	yes	characteristic
348	#2365	C₂×C₁₁	1	1	yes	characteristic, complemented
349	#2360	C₂×C₁₁	1	2	yes	complemented
350	#2357	C₂×C₁₁	1	1	yes	characteristic
351	D₄×C₄⋊C₄	C₂×C₁₁	1	1	yes	characteristic
352	C₄×#125	C₂×C₁₁	1	1	yes	characteristic, complemented
353	#2295	C₂×C₁₁	1	1	yes	characteristic, complemented
354	#2293	C₂×C₁₁	1	1	yes	characteristic
355	C₂³×C₁₁	—	2	2	no	—
356	C₂³×C₁₁	—	2	2	no	—
357	C₂³×C₁₁	—	2	2	no	—
358	C₂³×C₁₁	—	2	2	no	—
359	C₂³×C₁₁	—	2	2	no	—
360	C₂³×C₁₁	—	2	2	no	—
361	C₂³×C₁₁	C₂×#41	1	4	yes	—
362	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
363	Q₈×C₁₁	—	4	8	no	—
364	Q₈×C₁₁	—	4	4	no	—
365	D₄×C₁₁	—	2	8	no	—
366	C₂×C₄×C₁₁	—	2	1	no	—
367	C₂×C₄×C₁₁	—	2	1	no	—
368	C₂×C₄×C₁₁	—	2	1	no	—
369	C₂×C₄×C₁₁	—	2	1	no	—
370	C₂×C₄×C₁₁	—	2	2	no	—
371	C₂×C₄×C₁₁	—	2	1	no	—
372	C₂×C₄×C₁₁	—	2	2	no	—
373	C₂×C₄×C₁₁	—	2	1	no	—
374	C₂×C₄×C₁₁	—	2	1	no	—
375	C₂×C₄×C₁₁	—	2	1	no	—
376	C₂×C₄×C₁₁	—	2	1	no	—
377	C₂×C₄×C₁₁	—	2	1	no	—
378	C₂×C₄×C₁₁	—	2	1	no	—
379	C₂×C₄×C₁₁	—	2	1	no	—
380	C₂×C₄×C₁₁	—	2	1	no	—
381	C₂×C₄×C₁₁	—	2	1	no	—
382	C₂×C₄×C₁₁	—	2	1	no	—
383	C₂×C₄×C₁₁	—	2	1	no	—
384	C₂×C₄×C₁₁	—	2	1	no	—
385	C₂×C₄×C₁₁	—	2	1	no	—
386	C₂×C₄×C₁₁	—	2	1	no	—
387	C₂×C₄×C₁₁	—	2	2	no	—
388	C₂×C₄×C₁₁	—	2	1	no	—
389	C₂×C₄×C₁₁	—	2	2	no	—
390	C₂×C₄×C₁₁	—	2	2	no	—
391	C₂×C₄×C₁₁	—	2	2	no	—
392	C₂×C₄×C₁₁	—	2	2	no	—
393	C₂×C₄×C₁₁	—	2	2	no	—
394	C₂×C₄×C₁₁	—	2	1	no	—
395	C₂×C₄×C₁₁	—	2	1	no	—
396	C₂×C₄×C₁₁	—	2	2	no	—
397	C₂×C₄×C₁₁	—	2	2	no	—
398	C₂×C₄×C₁₁	—	2	1	no	—
399	C₂×C₄×C₁₁	—	2	1	no	—
400	C₂×C₄×C₁₁	—	2	2	no	—
401	C₂×C₄×C₁₁	—	2	1	no	—
402	C₂×C₄×C₁₁	—	2	2	no	—
403	C₂×C₄×C₁₁	—	2	1	no	—
404	C₂×C₄×C₁₁	—	2	2	no	—
405	C₂×C₄×C₁₁	—	2	1	no	—
406	C₂×C₄×C₁₁	—	2	1	no	—
407	C₂×C₄×C₁₁	—	2	1	no	—
408	C₂×C₄×C₁₁	—	2	2	no	—
409	C₂×C₄×C₁₁	—	2	1	no	—
410	C₂×C₄×C₁₁	—	2	1	no	—
411	C₂×C₄×C₁₁	—	2	2	no	—
412	C₂×C₄×C₁₁	—	2	1	no	—
413	C₂×C₄×C₁₁	—	2	1	no	—
414	C₂×C₄×C₁₁	—	2	2	no	—
415	C₂×C₄×C₁₁	—	2	2	no	—
416	C₂×C₄×C₁₁	—	2	2	no	—
417	C₂×C₄×C₁₁	—	2	2	no	—
418	C₂×C₄×C₁₁	—	2	1	no	—
419	C₂×C₄×C₁₁	—	2	1	no	—
420	C₂×C₄×C₁₁	—	2	1	no	—
421	C₂×C₄×C₁₁	—	2	2	no	—
422	C₂×C₄×C₁₁	—	2	1	no	—
423	C₂×C₄×C₁₁	—	4	8	no	—
424	C₂×C₄×C₁₁	—	4	8	no	—
425	C₂×C₄×C₁₁	—	8	4	no	—
426	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
427	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
428	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
429	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
430	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
431	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
432	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
433	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
434	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
435	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
436	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
437	C₂×#124	C₂²×C₁₁	1	1	yes	characteristic
438	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
439	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
440	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	—
441	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
442	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
443	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
444	C₂×#117	C₂²×C₁₁	1	2	yes	—
445	C₂²×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
446	#401	C₂²×C₁₁	1	2	yes	—
447	#400	C₂²×C₁₁	1	2	yes	—
448	#400	C₂²×C₁₁	1	2	yes	—
449	#400	C₂²×C₁₁	1	2	yes	—
450	#400	C₂²×C₁₁	1	2	yes	—
451	#400	C₂²×C₁₁	1	2	yes	—
452	#398	C₂²×C₁₁	1	2	yes	—
453	#398	C₂²×C₁₁	1	2	yes	—
454	#398	C₂²×C₁₁	1	2	yes	—
455	#397	C₂²×C₁₁	1	2	yes	—
456	#397	C₂²×C₁₁	1	2	yes	—
457	#397	C₂²×C₁₁	1	2	yes	—
458	#397	C₂²×C₁₁	1	2	yes	—
459	#396	C₂²×C₁₁	1	2	yes	—
460	#395	C₂²×C₁₁	1	2	yes	—
461	#393	C₂²×C₁₁	1	2	yes	—
462	#391	C₂²×C₁₁	1	2	yes	—
463	#391	C₂²×C₁₁	1	2	yes	—
464	#391	C₂²×C₁₁	1	1	yes	characteristic
465	#391	C₂²×C₁₁	1	1	yes	characteristic
466	#391	C₂²×C₁₁	1	1	yes	characteristic
467	#391	C₂²×C₁₁	1	1	yes	characteristic
468	#391	C₂²×C₁₁	1	1	yes	characteristic
469	#390	C₂²×C₁₁	1	1	yes	characteristic
470	#390	C₂²×C₁₁	1	1	yes	characteristic
471	#390	C₂²×C₁₁	1	1	yes	characteristic
472	#389	C₂²×C₁₁	1	1	yes	characteristic
473	#389	C₂²×C₁₁	1	1	yes	characteristic
474	#389	C₂²×C₁₁	1	1	yes	characteristic
475	#389	C₂²×C₁₁	1	1	yes	characteristic
476	#389	C₂²×C₁₁	1	2	yes	—
477	#389	C₂²×C₁₁	1	2	yes	—
478	#389	C₂²×C₁₁	1	1	yes	characteristic
479	#389	C₂²×C₁₁	1	1	yes	characteristic
480	#389	C₂²×C₁₁	1	1	yes	characteristic
481	#389	C₂²×C₁₁	1	1	yes	characteristic
482	#389	C₂²×C₁₁	1	1	yes	characteristic
483	#389	C₂²×C₁₁	1	1	yes	characteristic
484	#388	C₂²×C₁₁	1	2	yes	—
485	#388	C₂²×C₁₁	1	2	yes	—
486	#388	C₂²×C₁₁	1	2	yes	—
487	#388	C₂²×C₁₁	1	2	yes	—
488	#388	C₂²×C₁₁	1	2	yes	—
489	#388	C₂²×C₁₁	1	2	yes	—
490	#387	C₂²×C₁₁	1	1	yes	characteristic
491	#387	C₂²×C₁₁	1	1	yes	characteristic
492	#387	C₂²×C₁₁	1	1	yes	characteristic
493	#387	C₂²×C₁₁	1	1	yes	characteristic
494	#387	C₂²×C₁₁	1	2	yes	—
495	#387	C₂²×C₁₁	1	2	yes	—
496	#387	C₂²×C₁₁	1	2	yes	—
497	#387	C₂²×C₁₁	1	2	yes	—
498	#387	C₂²×C₁₁	1	2	yes	—
499	#387	C₂²×C₁₁	1	2	yes	—
500	#387	C₂²×C₁₁	1	2	yes	—
501	#387	C₂²×C₁₁	1	2	yes	—
502	#387	C₂²×C₁₁	1	2	yes	—
503	#387	C₂²×C₁₁	1	2	yes	—
504	#385	C₂²×C₁₁	1	2	yes	—
505	#385	C₂²×C₁₁	1	2	yes	—
506	#385	C₂²×C₁₁	1	2	yes	—
507	#385	C₂²×C₁₁	1	2	yes	—
508	#385	C₂²×C₁₁	1	2	yes	—
509	#385	C₂²×C₁₁	1	2	yes	—
510	#384	C₂²×C₁₁	1	1	yes	characteristic
511	#383	C₂²×C₁₁	1	2	yes	—
512	#382	C₂²×C₁₁	1	1	yes	characteristic
513	#382	C₂²×C₁₁	1	1	yes	characteristic
514	#381	C₂²×C₁₁	1	2	yes	—
515	#381	C₂²×C₁₁	1	2	yes	—
516	#381	C₂²×C₁₁	1	2	yes	—
517	#380	C₂²×C₁₁	1	2	yes	—
518	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
519	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
520	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
521	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
522	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
523	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
524	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
525	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
526	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
527	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
528	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
529	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
530	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
531	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
532	#376	C₂²×C₁₁	1	2	yes	—
533	C₄³	C₂²×C₁₁	1	1	yes	characteristic
534	C₂²×C₁₁	—	2	4	no	—
535	C₂²×C₁₁	—	2	4	no	—
536	C₂²×C₁₁	—	2	4	no	—
537	C₂²×C₁₁	—	4	2	no	—
538	C₂²×C₁₁	—	4	2	no	—
539	C₂²×C₁₁	—	4	2	no	—
540	C₂²×C₁₁	—	4	2	no	—
541	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
542	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
543	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
544	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
545	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
546	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
547	C₂²×C₁₁	#585	1	1	yes	characteristic
548	C₄×C₁₁	—	2	2	no	—
549	C₄×C₁₁	—	2	4	no	—
550	C₄×C₁₁	—	2	2	no	—
551	C₄×C₁₁	—	2	2	no	—
552	C₄×C₁₁	—	2	2	no	—
553	C₄×C₁₁	—	2	2	no	—
554	C₄×C₁₁	—	4	2	no	—
555	C₄×C₁₁	—	4	1	no	—
556	C₄×C₁₁	—	4	2	no	—
557	C₄×C₁₁	—	4	1	no	—
558	C₄×C₁₁	—	4	1	no	—
559	C₄×C₁₁	—	4	1	no	—
560	C₄×C₁₁	—	4	2	no	—
561	C₄×C₁₁	—	4	1	no	—
562	C₄×C₁₁	—	4	2	no	—
563	C₄×C₁₁	—	4	2	no	—
564	C₄×C₁₁	—	4	1	no	—
565	C₄×C₁₁	—	4	1	no	—
566	C₄×C₁₁	—	4	1	no	—
567	C₄×C₁₁	—	4	2	no	—
568	C₄×C₁₁	—	4	1	no	—
569	C₄×C₁₁	#552	1	4	yes	—
570	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
571	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
572	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
573	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
574	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
575	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
576	C₄⋊Q₈	—	2	4	no	—
577	#125	—	2	4	no	—
578	#124	—	2	4	no	—
579	C₂²⋊Q₈	—	2	8	no	—
580	C₄×Q₈	—	2	4	no	—
581	C₄×Q₈	—	4	4	no	—
582	C₄×D₄	—	2	4	no	—
583	C₄×D₄	—	2	4	no	—
584	C₄×D₄	—	2	4	no	—
585	#117	—	4	4	no	—
586	C₂×C₄⋊C₄	—	4	4	no	—
587	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
588	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
589	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
590	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
591	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
592	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
593	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
594	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
595	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
596	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
597	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
598	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
599	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
600	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
601	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
602	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
603	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
604	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
605	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
606	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
607	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
608	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
609	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
610	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
611	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
612	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
613	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
614	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
615	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
616	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
617	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
618	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
619	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
620	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
621	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
622	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
623	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
624	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
625	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
626	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
627	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
628	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
629	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
630	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
631	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
632	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
633	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
634	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
635	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
636	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
637	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
638	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
639	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
640	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
641	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
642	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
643	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
644	#95	C₂³×C₁₁	1	2	yes	—
645	#95	C₂³×C₁₁	1	2	yes	—
646	#95	C₂³×C₁₁	1	2	yes	—
647	#95	C₂³×C₁₁	1	2	yes	—
648	#95	C₂³×C₁₁	1	1	yes	characteristic
649	#95	C₂³×C₁₁	1	1	yes	characteristic
650	#95	C₂³×C₁₁	1	2	yes	—
651	#95	C₂³×C₁₁	1	2	yes	—
652	#95	C₂³×C₁₁	1	2	yes	—
653	#95	C₂³×C₁₁	1	2	yes	—
654	#95	C₂³×C₁₁	1	1	yes	characteristic
655	#95	C₂³×C₁₁	1	1	yes	characteristic
656	#95	C₂³×C₁₁	1	1	yes	characteristic
657	#95	C₂³×C₁₁	1	2	yes	—
658	#95	C₂³×C₁₁	1	2	yes	—
659	#95	C₂³×C₁₁	1	2	yes	—
660	#95	C₂³×C₁₁	1	1	yes	characteristic
661	#95	C₂³×C₁₁	1	1	yes	characteristic
662	#95	C₂³×C₁₁	1	1	yes	characteristic
663	#95	C₂³×C₁₁	1	1	yes	characteristic
664	#95	C₂³×C₁₁	1	1	yes	characteristic
665	#95	C₂³×C₁₁	1	2	yes	—
666	#95	C₂³×C₁₁	1	2	yes	—
667	#95	C₂³×C₁₁	1	1	yes	characteristic
668	#95	C₂³×C₁₁	1	1	yes	characteristic
669	#95	C₂³×C₁₁	1	2	yes	—
670	#95	C₂³×C₁₁	1	2	yes	—
671	#95	C₂³×C₁₁	1	2	yes	—
672	#95	C₂³×C₁₁	1	2	yes	—
673	#95	C₂³×C₁₁	1	2	yes	—
674	#95	C₂³×C₁₁	1	2	yes	—
675	#95	C₂³×C₁₁	1	2	yes	—
676	#95	C₂³×C₁₁	1	2	yes	—
677	#95	C₂³×C₁₁	1	2	yes	—
678	#95	C₂³×C₁₁	1	2	yes	—
679	#95	C₂³×C₁₁	1	2	yes	—
680	C₂×C₁₁	—	4	4	no	—
681	C₂×C₁₁	C₂×#552	1	1	yes	characteristic
682	C₂×C₁₁	#3481	1	1	yes	characteristic
683	C₂×C₁₁	#3482	1	1	yes	characteristic
684	C₂×C₁₁	#3507	1	1	yes	characteristic
685	C₂×C₁₁	#3513	1	1	yes	characteristic
686	C₂×C₁₁	#3516	1	1	yes	characteristic
687	C₂×C₁₁	#3550	1	1	yes	characteristic
688	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
689	C₂×Q₈	—	2	2	no	—
690	C₂×Q₈	—	2	4	no	—
691	C₂×Q₈	—	2	2	no	—
692	C₂×Q₈	—	2	4	no	—
693	C₂×Q₈	—	2	2	no	—
694	C₂×Q₈	—	4	2	no	—
695	C₂×D₄	—	2	2	no	—
696	C₂×D₄	—	2	2	no	—
697	C₂×D₄	C₁₁×#41	1	4	yes	—
698	C₂²×C₄	—	2	4	no	—
699	C₂²×C₄	—	2	4	no	—
700	C₂²×C₄	—	2	4	no	—
701	C₂²×C₄	—	2	4	no	—
702	C₂²×C₄	—	2	4	no	—
703	C₂²×C₄	—	4	2	no	—
704	C₂²×C₄	—	4	2	no	—
705	C₂²×C₄	—	4	2	no	—
706	C₂²×C₄	—	4	2	no	—
707	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
708	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
709	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
710	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
711	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
712	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
713	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
714	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
715	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
716	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
717	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
718	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
719	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
720	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
721	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
722	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
723	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
724	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
725	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
726	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
727	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
728	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
729	C₄⋊C₄	—	2	2	no	—
730	C₄⋊C₄	—	2	2	no	—
731	C₄⋊C₄	—	2	4	no	—
732	C₄⋊C₄	—	2	4	no	—
733	C₄⋊C₄	—	2	4	no	—
734	C₄⋊C₄	—	2	2	no	—
735	C₄⋊C₄	—	2	2	no	—
736	C₄⋊C₄	—	2	2	no	—
737	C₄⋊C₄	—	2	2	no	—
738	C₄⋊C₄	—	2	2	no	—
739	C₄⋊C₄	—	2	4	no	—
740	C₄⋊C₄	—	2	2	no	—
741	C₄⋊C₄	—	2	2	no	—
742	C₄⋊C₄	—	2	4	no	—
743	C₄⋊C₄	—	2	2	no	—
744	C₄⋊C₄	—	2	2	no	—
745	C₄⋊C₄	—	2	2	no	—
746	C₄⋊C₄	—	2	2	no	—
747	C₄⋊C₄	—	2	2	no	—
748	C₄⋊C₄	—	4	2	no	—
749	C₄⋊C₄	—	4	2	no	—
750	C₄⋊C₄	—	4	2	no	—
751	C₄⋊C₄	—	4	2	no	—
752	C₄⋊C₄	—	4	2	no	—
753	C₄⋊C₄	—	4	1	no	—
754	C₄⋊C₄	—	4	1	no	—
755	C₄⋊C₄	—	4	2	no	—
756	C₄⋊C₄	—	4	2	no	—
757	C₄⋊C₄	C₁₁×#41	1	4	yes	—
758	C₄⋊C₄	C₁₁×#41	1	4	yes	—
759	C₂²⋊C₄	—	2	4	no	—
760	C₂²⋊C₄	—	2	4	no	—
761	C₂²⋊C₄	—	2	4	no	—
762	C₂²⋊C₄	—	2	4	no	—
763	C₂²⋊C₄	—	2	4	no	—
764	C₂²⋊C₄	—	2	4	no	—
765	C₂²⋊C₄	—	2	4	no	—
766	C₂²⋊C₄	—	2	4	no	—
767	C₂²⋊C₄	—	4	2	no	—
768	C₂²⋊C₄	—	4	2	no	—
769	C₂²⋊C₄	—	4	2	no	—
770	C₄²	—	2	2	no	—
771	C₄²	—	2	2	no	—
772	C₄²	—	2	2	no	—
773	C₄²	—	2	2	no	—
774	C₄²	—	2	4	no	—
775	C₄²	—	2	2	no	—
776	C₄²	—	2	2	no	—
777	C₄²	—	2	2	no	—
778	C₄²	—	2	2	no	—
779	C₄²	—	2	4	no	—
780	C₄²	—	2	2	no	—
781	C₄²	—	2	2	no	—
782	C₄²	—	4	2	no	—
783	C₄²	—	4	2	no	—
784	C₄²	—	4	1	no	—
785	C₄²	—	4	2	no	—
786	C₁₁	#59960	1	1	yes	characteristic, direct product factor, Sylow
787	C₂³	—	2	2	no	—
788	C₂³	—	2	2	no	—
789	C₂³	—	2	2	no	—
790	C₂³	—	2	2	no	—
791	C₂³	—	2	2	no	—
792	C₂³	—	2	2	no	—
793	C₂³	C₂×C₁₁×#41	1	4	yes	—
794	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
795	Q₈	—	4	8	no	—
796	Q₈	—	4	4	no	—
797	D₄	—	2	8	no	—
798	C₂×C₄	—	2	1	no	—
799	C₂×C₄	—	2	1	no	—
800	C₂×C₄	—	2	1	no	—
801	C₂×C₄	—	2	1	no	—
802	C₂×C₄	—	2	2	no	—
803	C₂×C₄	—	2	1	no	—
804	C₂×C₄	—	2	2	no	—
805	C₂×C₄	—	2	1	no	—
806	C₂×C₄	—	2	1	no	—
807	C₂×C₄	—	2	1	no	—
808	C₂×C₄	—	2	1	no	—
809	C₂×C₄	—	2	1	no	—
810	C₂×C₄	—	2	1	no	—
811	C₂×C₄	—	2	1	no	—
812	C₂×C₄	—	2	1	no	—
813	C₂×C₄	—	2	1	no	—
814	C₂×C₄	—	2	1	no	—
815	C₂×C₄	—	2	1	no	—
816	C₂×C₄	—	2	1	no	—
817	C₂×C₄	—	2	1	no	—
818	C₂×C₄	—	2	1	no	—
819	C₂×C₄	—	2	2	no	—
820	C₂×C₄	—	2	1	no	—
821	C₂×C₄	—	2	2	no	—
822	C₂×C₄	—	2	2	no	—
823	C₂×C₄	—	2	2	no	—
824	C₂×C₄	—	2	2	no	—
825	C₂×C₄	—	2	2	no	—
826	C₂×C₄	—	2	1	no	—
827	C₂×C₄	—	2	1	no	—
828	C₂×C₄	—	2	2	no	—
829	C₂×C₄	—	2	2	no	—
830	C₂×C₄	—	2	1	no	—
831	C₂×C₄	—	2	1	no	—
832	C₂×C₄	—	2	2	no	—
833	C₂×C₄	—	2	1	no	—
834	C₂×C₄	—	2	2	no	—
835	C₂×C₄	—	2	1	no	—
836	C₂×C₄	—	2	2	no	—
837	C₂×C₄	—	2	1	no	—
838	C₂×C₄	—	2	1	no	—
839	C₂×C₄	—	2	1	no	—
840	C₂×C₄	—	2	2	no	—
841	C₂×C₄	—	2	1	no	—
842	C₂×C₄	—	2	1	no	—
843	C₂×C₄	—	2	2	no	—
844	C₂×C₄	—	2	1	no	—
845	C₂×C₄	—	2	1	no	—
846	C₂×C₄	—	2	2	no	—
847	C₂×C₄	—	2	2	no	—
848	C₂×C₄	—	2	2	no	—
849	C₂×C₄	—	2	2	no	—
850	C₂×C₄	—	2	1	no	—
851	C₂×C₄	—	2	1	no	—
852	C₂×C₄	—	2	1	no	—
853	C₂×C₄	—	2	2	no	—
854	C₂×C₄	—	2	1	no	—
855	C₂×C₄	—	4	8	no	—
856	C₂×C₄	—	4	8	no	—
857	C₂×C₄	—	8	4	no	—
858	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
859	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
860	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
861	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
862	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
863	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
864	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
865	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
866	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
867	C₂²	—	2	4	no	—
868	C₂²	—	2	4	no	—
869	C₂²	—	2	4	no	—
870	C₂²	—	4	2	no	—
871	C₂²	—	4	2	no	—
872	C₂²	—	4	2	no	—
873	C₂²	—	4	2	no	—
874	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
875	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
876	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
877	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
878	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
879	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
880	C₂²	C₁₁×#585	1	1	yes	characteristic
881	C₄	—	2	2	no	—
882	C₄	—	2	4	no	—
883	C₄	—	2	2	no	—
884	C₄	—	2	2	no	—
885	C₄	—	2	2	no	—
886	C₄	—	2	2	no	—
887	C₄	—	4	2	no	—
888	C₄	—	4	2	no	—
889	C₄	—	4	1	no	—
890	C₄	—	4	1	no	—
891	C₄	—	4	1	no	—
892	C₄	—	4	1	no	—
893	C₄	—	4	2	no	—
894	C₄	—	4	2	no	—
895	C₄	—	4	1	no	—
896	C₄	—	4	2	no	—
897	C₄	—	4	1	no	—
898	C₄	—	4	1	no	—
899	C₄	—	4	1	no	—
900	C₄	—	4	2	no	—
901	C₄	—	4	1	no	—
902	C₄	C₁₁×#552	1	4	yes	—
903	C₂	—	4	4	no	—
904	C₂	C₂×C₁₁×#552	1	1	yes	characteristic
905	C₂	C₁₁×#3481	1	1	yes	characteristic
906	C₂	C₁₁×#3482	1	1	yes	characteristic
907	C₂	C₁₁×#3507	1	1	yes	characteristic
908	C₂	C₁₁×#3513	1	1	yes	characteristic
909	C₂	C₁₁×#3516	1	1	yes	characteristic
910	C₂	C₁₁×#3550	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₁×#2765	C₂	semidirect
2. C₁₁×#2690	C₂	semidirect
3. C₁₁×#2599	C₂	semidirect
4. C₁₁×#2573	C₂	semidirect
5. C₁₁×#2530	C₂	semidirect
6. C₁₁×#2527	C₂	semidirect
7. C₁₁×#2514	C₂	semidirect
8. C₁₁×#2511	C₂	semidirect
9. C₁₁×#2509	C₂	semidirect
10. C₁₁×#2507	C₂	semidirect
11. C₁₁×#2484	C₂	semidirect
13. C₁₁×#2451	C₂	semidirect
17. C₁₁×#2365	C₂	semidirect
18. C₁₁×#2360	C₂	semidirect
21. C₄×C₁₁×#125	C₂	semidirect
22. C₁₁×#2295	C₂	semidirect
233. #59960	C₁₁	direct (N × H)
332. #2765	C₂×C₁₁	semidirect
333. #2690	C₂×C₁₁	semidirect
334. #2599	C₂×C₁₁	semidirect
335. #2573	C₂×C₁₁	semidirect
336. #2530	C₂×C₁₁	semidirect
337. #2527	C₂×C₁₁	semidirect
338. #2514	C₂×C₁₁	semidirect
339. #2511	C₂×C₁₁	semidirect
340. #2509	C₂×C₁₁	semidirect
341. #2507	C₂×C₁₁	semidirect
342. #2484	C₂×C₁₁	semidirect
344. #2451	C₂×C₁₁	semidirect
348. #2365	C₂×C₁₁	semidirect
349. #2360	C₂×C₁₁	semidirect
352. C₄×#125	C₂×C₁₁	semidirect
353. #2295	C₂×C₁₁	semidirect
786. C₁₁	#59960	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×#2765	2
C₁₁×#2690	2
C₁₁×#2599	2
C₁₁×#2573	2
C₁₁×#2530	2
C₁₁×#2527	2
C₁₁×#2514	2
C₁₁×#2511	2
C₁₁×#2509	2
C₁₁×#2507	2
C₁₁×#2484	2
C₁₁×#2452	2
C₁₁×#2451	2
C₁₁×#2447	2
C₁₁×#2367	2
C₁₁×#2365	2
C₁₁×#2360	2
C₁₁×#2357	2
D₄×C₁₁×C₄⋊C₄	2
C₄×C₁₁×#125	2
C₁₁×#2295	2
C₁₁×#2293	2
#59960	11

Subgroups — C11×#59960 #14637153

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#59960 #14637153