Subgroups — C₁₁×#59947 #14637140

Order 2816.

2334 conjugacy classes of subgroups.

The subgroup lattice has 976 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2803	C₂	1	2	yes	maximal, complemented
2	C₁₁×#2784	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#2699	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#2610	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2593	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#2591	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#2583	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#2555	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2526	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2476	C₂	1	2	yes	maximal, complemented
11	C₁₁×#2472	C₂	1	2	yes	maximal, complemented
12	C₁₁×#2424	C₂	1	2	yes	maximal, complemented
13	C₁₁×#2414	C₂	1	2	yes	maximal, complemented
14	C₁₁×#2410	C₂	1	2	yes	maximal, complemented
15	C₁₁×#2363	C₂	1	2	yes	maximal, complemented
16	C₁₁×#2358	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2342	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₁×#390	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₁×#2290	C₂	1	2	yes	maximal, complemented
20	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic
21	C₂×C₁₁×#124	C₂²	1	2	yes	complemented
22	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
23	C₂×C₁₁×#121	C₂²	1	2	yes	—
24	C₂×C₁₁×#121	C₂²	1	2	yes	—
25	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic
26	C₂×C₁₁×#121	C₂²	1	2	yes	complemented
27	C₂×C₁₁×#120	C₂²	1	2	yes	—
28	C₂×C₁₁×#120	C₂²	1	2	yes	—
29	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
30	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	complemented
31	C₂×C₁₁×#117	C₂²	1	2	yes	complemented
32	C₂×C₁₁×#117	C₂²	1	2	yes	complemented
33	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
34	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
35	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
36	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
37	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
38	C₁₁×#400	C₂²	1	1	yes	characteristic, complemented
39	C₁₁×#400	C₂²	1	1	yes	characteristic, complemented
40	C₁₁×#398	C₂²	1	1	yes	characteristic, complemented
41	C₁₁×#398	C₂²	1	1	yes	characteristic, complemented
42	C₁₁×#397	C₂²	1	2	yes	complemented
43	C₁₁×#396	C₂²	1	2	yes	complemented
44	C₁₁×#395	C₂²	1	1	yes	characteristic, complemented
45	C₁₁×#395	C₂²	1	1	yes	characteristic, complemented
46	C₁₁×#394	C₂²	1	2	yes	—
47	C₁₁×#394	C₂²	1	2	yes	—
48	C₁₁×#394	C₂²	1	1	yes	characteristic, complemented
49	C₁₁×#394	C₂²	1	2	yes	complemented
50	C₁₁×#394	C₂²	1	2	yes	complemented
51	C₁₁×#394	C₂²	1	2	yes	complemented
52	C₁₁×#394	C₂²	1	2	yes	complemented
53	C₁₁×#394	C₂²	1	1	yes	characteristic, complemented
54	C₁₁×#393	C₂²	1	2	yes	complemented
55	C₁₁×#392	C₂²	1	2	yes	—
56	C₁₁×#392	C₂²	1	2	yes	—
57	C₁₁×#392	C₂²	1	2	yes	complemented
58	C₁₁×#390	C₂²	1	2	yes	—
59	C₁₁×#390	C₂²	1	1	yes	characteristic
60	C₁₁×#390	C₂²	1	2	yes	—
61	C₁₁×#390	C₂²	1	1	yes	characteristic
62	C₁₁×#390	C₂²	1	1	yes	characteristic
63	C₁₁×#390	C₂²	1	1	yes	characteristic
64	C₁₁×#390	C₂²	1	2	yes	complemented
65	C₁₁×#390	C₂²	1	2	yes	complemented
66	C₁₁×#390	C₂²	1	2	yes	complemented
67	C₁₁×#389	C₂²	1	2	yes	complemented
68	C₁₁×#389	C₂²	1	2	yes	complemented
69	C₁₁×#388	C₂²	1	2	yes	complemented
70	C₁₁×#388	C₂²	1	2	yes	complemented
71	C₁₁×#388	C₂²	1	2	yes	complemented
72	C₁₁×#388	C₂²	1	2	yes	complemented
73	C₁₁×#388	C₂²	1	2	yes	complemented
74	C₁₁×#388	C₂²	1	2	yes	complemented
75	C₁₁×#388	C₂²	1	2	yes	complemented
76	C₁₁×#388	C₂²	1	2	yes	complemented
77	C₁₁×#388	C₂²	1	2	yes	complemented
78	C₁₁×#388	C₂²	1	2	yes	complemented
79	C₁₁×#388	C₂²	1	2	yes	complemented
80	C₁₁×#388	C₂²	1	2	yes	complemented
81	C₁₁×#388	C₂²	1	2	yes	complemented
82	C₁₁×#387	C₂²	1	2	yes	complemented
83	C₁₁×#387	C₂²	1	2	yes	complemented
84	C₁₁×#386	C₂²	1	2	yes	—
85	C₁₁×#386	C₂²	1	2	yes	—
86	C₁₁×#386	C₂²	1	2	yes	—
87	C₁₁×#386	C₂²	1	2	yes	—
88	C₁₁×#386	C₂²	1	2	yes	—
89	C₁₁×#386	C₂²	1	2	yes	complemented
90	C₁₁×#386	C₂²	1	2	yes	complemented
91	C₁₁×#386	C₂²	1	2	yes	complemented
92	C₁₁×#385	C₂²	1	2	yes	—
93	C₁₁×#385	C₂²	1	2	yes	—
94	C₁₁×#385	C₂²	1	2	yes	—
95	C₁₁×#385	C₂²	1	2	yes	complemented
96	C₁₁×#381	C₂²	1	2	yes	complemented
97	C₁₁×#380	C₂²	1	2	yes	complemented
98	C₁₁×#379	C₂²	1	2	yes	—
99	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	complemented
100	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
101	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
102	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
103	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
104	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
105	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
106	C₁₁×#376	C₂²	1	2	yes	complemented
107	C₂⁵×C₁₁	C₂³	1	2	yes	—
108	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
109	C₂²×D₄×C₁₁	—	2	4	no	—
110	C₂²×D₄×C₁₁	—	4	2	no	—
111	C₂²×D₄×C₁₁	—	4	2	no	—
112	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
113	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
114	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
115	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
116	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
117	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
118	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
119	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
120	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
121	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
122	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
123	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
124	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
125	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
128	C₁₁×#124	—	4	4	no	—
129	C₁₁×C₂²⋊Q₈	—	4	2	no	—
130	C₁₁×#121	—	2	8	no	—
131	C₁₁×#121	—	4	4	no	—
132	C₁₁×#121	—	4	4	no	—
133	C₁₁×#121	—	4	2	no	—
134	C₁₁×#120	—	2	8	no	—
135	C₁₁×#120	—	4	4	no	—
136	C₄×D₄×C₁₁	—	2	8	no	—
137	C₄×D₄×C₁₁	—	4	4	no	—
138	C₁₁×#117	—	4	4	no	—
139	C₁₁×#117	—	4	4	no	—
140	C₂×C₁₁×C₄⋊C₄	—	4	2	no	—
141	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
142	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
143	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
144	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
151	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
155	C₂×C₁₁×C₂²⋊C₄	—	2	8	no	—
156	C₂×C₁₁×C₂²⋊C₄	—	4	4	no	—
157	C₂×C₁₁×C₂²⋊C₄	—	4	4	no	—
158	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
159	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
160	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
161	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
162	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
163	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
164	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
165	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
167	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
168	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
169	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
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×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₂×C₄²×C₁₁	—	4	2	no	—
188	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
189	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
190	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
191	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
193	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
194	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
195	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
196	C₁₁×#95	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	1	yes	characteristic
201	C₁₁×#95	C₂³	1	2	yes	—
202	C₁₁×#95	C₂³	1	1	yes	characteristic
203	C₁₁×#95	C₂³	1	2	yes	—
204	C₁₁×#95	C₂³	1	1	yes	characteristic
205	C₁₁×#95	C₂³	1	1	yes	characteristic
206	C₁₁×#95	C₂³	1	2	yes	—
207	C₁₁×#95	C₂³	1	2	yes	—
208	C₁₁×#95	C₂³	1	2	yes	—
209	C₁₁×#95	C₂³	1	2	yes	—
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	2	yes	—
214	#59947	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
215	C₂⁴×C₁₁	—	2	4	no	—
216	C₂⁴×C₁₁	—	2	4	no	—
217	C₂⁴×C₁₁	—	2	4	no	—
218	C₂⁴×C₁₁	—	2	4	no	—
219	C₂⁴×C₁₁	—	4	2	no	—
220	C₂⁴×C₁₁	—	4	2	no	—
221	C₂⁴×C₁₁	—	4	2	no	—
222	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
223	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
224	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
225	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
226	C₂×Q₈×C₁₁	—	4	1	no	—
227	C₂×Q₈×C₁₁	—	4	2	no	—
228	C₂×D₄×C₁₁	—	2	4	no	—
229	C₂×D₄×C₁₁	—	2	4	no	—
230	C₂×D₄×C₁₁	—	2	4	no	—
231	C₂×D₄×C₁₁	—	2	4	no	—
232	C₂×D₄×C₁₁	—	2	4	no	—
233	C₂×D₄×C₁₁	—	2	4	no	—
234	C₂×D₄×C₁₁	—	2	4	no	—
235	C₂×D₄×C₁₁	—	2	2	no	—
236	C₂×D₄×C₁₁	—	2	4	no	—
237	C₂×D₄×C₁₁	—	2	4	no	—
238	C₂×D₄×C₁₁	—	4	2	no	—
239	C₂×D₄×C₁₁	—	4	1	no	—
240	C₂×D₄×C₁₁	—	4	1	no	—
241	C₂×D₄×C₁₁	—	4	1	no	—
242	C₂×D₄×C₁₁	—	4	2	no	—
243	C₂×D₄×C₁₁	—	4	1	no	—
244	C₂×D₄×C₁₁	—	4	16	no	—
245	C₂×D₄×C₁₁	—	4	2	no	—
246	C₂×D₄×C₁₁	—	4	2	no	—
247	C₂×D₄×C₁₁	—	4	2	no	—
248	C₂×D₄×C₁₁	—	4	2	no	—
249	C₂×D₄×C₁₁	—	4	2	no	—
250	C₂×D₄×C₁₁	—	4	2	no	—
251	C₂×D₄×C₁₁	—	4	2	no	—
252	C₂×D₄×C₁₁	—	4	1	no	—
253	C₂×D₄×C₁₁	—	4	2	no	—
254	C₂×D₄×C₁₁	#41	1	4	yes	—
255	C₂²×C₄×C₁₁	—	2	2	no	—
256	C₂²×C₄×C₁₁	—	2	2	no	—
257	C₂²×C₄×C₁₁	—	2	2	no	—
258	C₂²×C₄×C₁₁	—	2	4	no	—
259	C₂²×C₄×C₁₁	—	2	4	no	—
260	C₂²×C₄×C₁₁	—	2	2	no	—
261	C₂²×C₄×C₁₁	—	2	2	no	—
262	C₂²×C₄×C₁₁	—	2	4	no	—
263	C₂²×C₄×C₁₁	—	2	4	no	—
264	C₂²×C₄×C₁₁	—	2	4	no	—
265	C₂²×C₄×C₁₁	—	2	4	no	—
266	C₂²×C₄×C₁₁	—	2	4	no	—
267	C₂²×C₄×C₁₁	—	4	2	no	—
268	C₂²×C₄×C₁₁	—	4	2	no	—
269	C₂²×C₄×C₁₁	—	4	2	no	—
270	C₂²×C₄×C₁₁	—	4	2	no	—
271	C₂²×C₄×C₁₁	—	4	2	no	—
272	C₂²×C₄×C₁₁	—	4	2	no	—
273	C₂²×C₄×C₁₁	—	4	2	no	—
274	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
275	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
276	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
277	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
278	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
279	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
280	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
281	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
282	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
283	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
284	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
285	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
286	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
287	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
288	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
289	C₁₁×C₄⋊C₄	—	2	4	no	—
290	C₁₁×C₄⋊C₄	—	2	4	no	—
291	C₁₁×C₄⋊C₄	—	2	4	no	—
292	C₁₁×C₄⋊C₄	—	2	4	no	—
293	C₁₁×C₄⋊C₄	—	4	1	no	—
294	C₁₁×C₄⋊C₄	—	4	1	no	—
295	C₁₁×C₄⋊C₄	—	4	1	no	—
296	C₁₁×C₄⋊C₄	—	4	1	no	—
297	C₁₁×C₄⋊C₄	—	4	2	no	—
298	C₁₁×C₄⋊C₄	—	4	2	no	—
299	C₁₁×C₄⋊C₄	—	4	2	no	—
300	C₁₁×C₄⋊C₄	—	4	1	no	—
301	C₁₁×C₄⋊C₄	—	4	1	no	—
302	C₁₁×C₄⋊C₄	—	4	2	no	—
303	C₁₁×C₂²⋊C₄	—	2	4	no	—
304	C₁₁×C₂²⋊C₄	—	2	4	no	—
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	—	2	4	no	—
314	C₁₁×C₂²⋊C₄	—	2	4	no	—
315	C₁₁×C₂²⋊C₄	—	2	4	no	—
316	C₁₁×C₂²⋊C₄	—	2	4	no	—
317	C₁₁×C₂²⋊C₄	—	2	4	no	—
318	C₁₁×C₂²⋊C₄	—	4	2	no	—
319	C₁₁×C₂²⋊C₄	—	4	2	no	—
320	C₁₁×C₂²⋊C₄	—	4	2	no	—
321	C₁₁×C₂²⋊C₄	—	4	2	no	—
322	C₁₁×C₂²⋊C₄	—	4	2	no	—
323	C₁₁×C₂²⋊C₄	—	4	2	no	—
324	C₁₁×C₂²⋊C₄	—	4	2	no	—
325	C₁₁×C₂²⋊C₄	—	4	2	no	—
326	C₁₁×C₂²⋊C₄	—	4	2	no	—
327	C₁₁×C₂²⋊C₄	—	4	2	no	—
328	C₁₁×C₂²⋊C₄	—	4	2	no	—
329	C₁₁×C₂²⋊C₄	—	4	2	no	—
330	C₁₁×C₂²⋊C₄	—	4	2	no	—
331	C₁₁×C₂²⋊C₄	#41	1	8	yes	—
332	C₄²×C₁₁	—	2	4	no	—
333	C₄²×C₁₁	—	2	4	no	—
334	C₄²×C₁₁	—	2	4	no	—
335	C₄²×C₁₁	—	4	1	no	—
336	C₄²×C₁₁	—	4	1	no	—
337	C₄²×C₁₁	—	4	2	no	—
338	C₄²×C₁₁	—	4	2	no	—
339	C₄²×C₁₁	—	4	2	no	—
340	#2803	C₂×C₁₁	1	2	yes	complemented
341	#2784	C₂×C₁₁	1	1	yes	characteristic, complemented
342	#2699	C₂×C₁₁	1	1	yes	characteristic, complemented
343	#2610	C₂×C₁₁	1	2	yes	complemented
344	#2593	C₂×C₁₁	1	1	yes	characteristic, complemented
345	#2591	C₂×C₁₁	1	1	yes	characteristic, complemented
346	#2583	C₂×C₁₁	1	1	yes	characteristic, complemented
347	#2555	C₂×C₁₁	1	1	yes	characteristic, complemented
348	#2526	C₂×C₁₁	1	2	yes	complemented
349	#2476	C₂×C₁₁	1	2	yes	complemented
350	#2472	C₂×C₁₁	1	2	yes	complemented
351	#2424	C₂×C₁₁	1	2	yes	complemented
352	#2414	C₂×C₁₁	1	2	yes	complemented
353	#2410	C₂×C₁₁	1	2	yes	complemented
354	#2363	C₂×C₁₁	1	2	yes	complemented
355	#2358	C₂×C₁₁	1	2	yes	complemented
356	#2342	C₂×C₁₁	1	2	yes	complemented
357	C₂×#390	C₂×C₁₁	1	1	yes	characteristic, complemented
358	#2290	C₂×C₁₁	1	2	yes	complemented
359	C₂³×C₁₁	—	2	1	no	—
360	C₂³×C₁₁	—	2	2	no	—
361	C₂³×C₁₁	—	2	1	no	—
362	C₂³×C₁₁	—	2	2	no	—
363	C₂³×C₁₁	—	2	2	no	—
364	C₂³×C₁₁	—	2	2	no	—
365	C₂³×C₁₁	—	2	2	no	—
366	C₂³×C₁₁	—	2	2	no	—
367	C₂³×C₁₁	—	2	2	no	—
368	C₂³×C₁₁	—	2	2	no	—
369	C₂³×C₁₁	—	2	2	no	—
370	C₂³×C₁₁	—	2	2	no	—
371	C₂³×C₁₁	—	2	2	no	—
372	C₂³×C₁₁	—	2	2	no	—
373	C₂³×C₁₁	—	2	2	no	—
374	C₂³×C₁₁	—	2	2	no	—
375	C₂³×C₁₁	—	2	2	no	—
376	C₂³×C₁₁	—	2	2	no	—
377	C₂³×C₁₁	—	2	2	no	—
378	C₂³×C₁₁	—	2	2	no	—
379	C₂³×C₁₁	—	2	2	no	—
380	C₂³×C₁₁	—	2	2	no	—
381	C₂³×C₁₁	—	2	2	no	—
382	C₂³×C₁₁	—	4	8	no	—
383	C₂³×C₁₁	—	4	8	no	—
384	C₂³×C₁₁	—	4	8	no	—
385	C₂³×C₁₁	—	4	8	no	—
386	C₂³×C₁₁	—	8	4	no	—
387	C₂³×C₁₁	—	8	4	no	—
388	C₂³×C₁₁	—	8	4	no	—
389	C₂³×C₁₁	C₂×#41	1	4	yes	—
390	C₂³×C₁₁	C₂×#41	1	4	yes	—
391	C₂³×C₁₁	H(5,𝔽₂)	1	2	yes	—
392	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
393	Q₈×C₁₁	—	8	2	no	—
394	D₄×C₁₁	—	4	4	no	—
395	D₄×C₁₁	—	4	8	no	—
396	D₄×C₁₁	—	4	8	no	—
397	D₄×C₁₁	—	4	4	no	—
398	D₄×C₁₁	—	4	8	no	—
399	D₄×C₁₁	—	8	4	no	—
400	D₄×C₁₁	—	8	4	no	—
401	D₄×C₁₁	—	8	2	no	—
402	D₄×C₁₁	—	8	4	no	—
403	C₂×C₄×C₁₁	—	2	8	no	—
404	C₂×C₄×C₁₁	—	2	2	no	—
405	C₂×C₄×C₁₁	—	2	2	no	—
406	C₂×C₄×C₁₁	—	2	1	no	—
407	C₂×C₄×C₁₁	—	2	2	no	—
408	C₂×C₄×C₁₁	—	2	1	no	—
409	C₂×C₄×C₁₁	—	2	2	no	—
410	C₂×C₄×C₁₁	—	2	2	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	2	no	—
419	C₂×C₄×C₁₁	—	2	2	no	—
420	C₂×C₄×C₁₁	—	2	2	no	—
421	C₂×C₄×C₁₁	—	2	2	no	—
422	C₂×C₄×C₁₁	—	2	2	no	—
423	C₂×C₄×C₁₁	—	2	2	no	—
424	C₂×C₄×C₁₁	—	2	2	no	—
425	C₂×C₄×C₁₁	—	2	2	no	—
426	C₂×C₄×C₁₁	—	2	2	no	—
427	C₂×C₄×C₁₁	—	2	2	no	—
428	C₂×C₄×C₁₁	—	2	2	no	—
429	C₂×C₄×C₁₁	—	2	2	no	—
430	C₂×C₄×C₁₁	—	2	2	no	—
431	C₂×C₄×C₁₁	—	2	2	no	—
432	C₂×C₄×C₁₁	—	2	2	no	—
433	C₂×C₄×C₁₁	—	2	2	no	—
434	C₂×C₄×C₁₁	—	2	2	no	—
435	C₂×C₄×C₁₁	—	2	2	no	—
436	C₂×C₄×C₁₁	—	2	1	no	—
437	C₂×C₄×C₁₁	—	2	1	no	—
438	C₂×C₄×C₁₁	—	2	1	no	—
439	C₂×C₄×C₁₁	—	2	1	no	—
440	C₂×C₄×C₁₁	—	4	8	no	—
441	C₂×C₄×C₁₁	—	4	8	no	—
442	C₂×C₄×C₁₁	—	4	8	no	—
443	C₂×C₄×C₁₁	—	8	4	no	—
444	C₂×C₄×C₁₁	—	8	2	no	—
445	C₂×C₄×C₁₁	—	8	2	no	—
446	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
447	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
448	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
449	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
450	C₂×C₄×C₁₁	H(5,𝔽₂)	1	4	yes	—
451	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic
452	C₂×#124	C₂²×C₁₁	1	2	yes	complemented
453	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
454	C₂×#121	C₂²×C₁₁	1	2	yes	—
455	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
456	C₂×#121	C₂²×C₁₁	1	2	yes	—
457	C₂×#121	C₂²×C₁₁	1	2	yes	complemented
458	C₂×#120	C₂²×C₁₁	1	2	yes	—
459	C₂×#120	C₂²×C₁₁	1	2	yes	—
460	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
461	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	complemented
462	C₂×#117	C₂²×C₁₁	1	2	yes	complemented
463	C₂×#117	C₂²×C₁₁	1	2	yes	complemented
464	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
465	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
466	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
467	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
468	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
469	#400	C₂²×C₁₁	1	1	yes	characteristic, complemented
470	#400	C₂²×C₁₁	1	1	yes	characteristic, complemented
471	#398	C₂²×C₁₁	1	1	yes	characteristic, complemented
472	#398	C₂²×C₁₁	1	1	yes	characteristic, complemented
473	#397	C₂²×C₁₁	1	2	yes	complemented
474	#396	C₂²×C₁₁	1	2	yes	complemented
475	#395	C₂²×C₁₁	1	1	yes	characteristic, complemented
476	#395	C₂²×C₁₁	1	1	yes	characteristic, complemented
477	#394	C₂²×C₁₁	1	2	yes	—
478	#394	C₂²×C₁₁	1	2	yes	—
479	#394	C₂²×C₁₁	1	1	yes	characteristic, complemented
480	#394	C₂²×C₁₁	1	1	yes	characteristic, complemented
481	#394	C₂²×C₁₁	1	2	yes	complemented
482	#394	C₂²×C₁₁	1	2	yes	complemented
483	#394	C₂²×C₁₁	1	2	yes	complemented
484	#394	C₂²×C₁₁	1	2	yes	complemented
485	#393	C₂²×C₁₁	1	2	yes	complemented
486	#392	C₂²×C₁₁	1	2	yes	—
487	#392	C₂²×C₁₁	1	2	yes	—
488	#392	C₂²×C₁₁	1	2	yes	complemented
489	#390	C₂²×C₁₁	1	1	yes	characteristic
490	#390	C₂²×C₁₁	1	2	yes	—
491	#390	C₂²×C₁₁	1	1	yes	characteristic
492	#390	C₂²×C₁₁	1	2	yes	—
493	#390	C₂²×C₁₁	1	1	yes	characteristic
494	#390	C₂²×C₁₁	1	1	yes	characteristic
495	#390	C₂²×C₁₁	1	2	yes	complemented
496	#390	C₂²×C₁₁	1	2	yes	complemented
497	#390	C₂²×C₁₁	1	2	yes	complemented
498	#389	C₂²×C₁₁	1	2	yes	complemented
499	#389	C₂²×C₁₁	1	2	yes	complemented
500	#388	C₂²×C₁₁	1	2	yes	complemented
501	#388	C₂²×C₁₁	1	2	yes	complemented
502	#388	C₂²×C₁₁	1	2	yes	complemented
503	#388	C₂²×C₁₁	1	2	yes	complemented
504	#388	C₂²×C₁₁	1	2	yes	complemented
505	#388	C₂²×C₁₁	1	2	yes	complemented
506	#388	C₂²×C₁₁	1	2	yes	complemented
507	#388	C₂²×C₁₁	1	2	yes	complemented
508	#388	C₂²×C₁₁	1	2	yes	complemented
509	#388	C₂²×C₁₁	1	2	yes	complemented
510	#388	C₂²×C₁₁	1	2	yes	complemented
511	#388	C₂²×C₁₁	1	2	yes	complemented
512	#388	C₂²×C₁₁	1	2	yes	complemented
513	#387	C₂²×C₁₁	1	2	yes	complemented
514	#387	C₂²×C₁₁	1	2	yes	complemented
515	#386	C₂²×C₁₁	1	2	yes	—
516	#386	C₂²×C₁₁	1	2	yes	—
517	#386	C₂²×C₁₁	1	2	yes	—
518	#386	C₂²×C₁₁	1	2	yes	—
519	#386	C₂²×C₁₁	1	2	yes	—
520	#386	C₂²×C₁₁	1	2	yes	complemented
521	#386	C₂²×C₁₁	1	2	yes	complemented
522	#386	C₂²×C₁₁	1	2	yes	complemented
523	#385	C₂²×C₁₁	1	2	yes	—
524	#385	C₂²×C₁₁	1	2	yes	—
525	#385	C₂²×C₁₁	1	2	yes	—
526	#385	C₂²×C₁₁	1	2	yes	complemented
527	#381	C₂²×C₁₁	1	2	yes	complemented
528	#380	C₂²×C₁₁	1	2	yes	complemented
529	#379	C₂²×C₁₁	1	2	yes	—
530	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	complemented
531	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
532	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
533	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
534	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
535	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
536	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
537	#376	C₂²×C₁₁	1	2	yes	complemented
538	C₂²×C₁₁	—	2	4	no	—
539	C₂²×C₁₁	—	2	2	no	—
540	C₂²×C₁₁	—	2	4	no	—
541	C₂²×C₁₁	—	2	2	no	—
542	C₂²×C₁₁	—	2	4	no	—
543	C₂²×C₁₁	—	2	4	no	—
544	C₂²×C₁₁	—	2	4	no	—
545	C₂²×C₁₁	—	4	2	no	—
546	C₂²×C₁₁	—	4	2	no	—
547	C₂²×C₁₁	—	4	2	no	—
548	C₂²×C₁₁	—	4	2	no	—
549	C₂²×C₁₁	—	4	2	no	—
550	C₂²×C₁₁	—	4	2	no	—
551	C₂²×C₁₁	—	4	2	no	—
552	C₂²×C₁₁	—	4	2	no	—
553	C₂²×C₁₁	—	4	2	no	—
554	C₂²×C₁₁	—	4	2	no	—
555	C₂²×C₁₁	—	4	2	no	—
556	C₂²×C₁₁	—	4	2	no	—
557	C₂²×C₁₁	—	4	2	no	—
558	C₂²×C₁₁	—	4	2	no	—
559	C₂²×C₁₁	—	4	2	no	—
560	C₂²×C₁₁	—	4	2	no	—
561	C₂²×C₁₁	—	4	2	no	—
562	C₂²×C₁₁	—	4	2	no	—
563	C₂²×C₁₁	—	8	16	no	—
564	C₂²×C₁₁	#555	1	4	yes	—
565	C₂²×C₁₁	C₂²×#41	1	2	yes	—
566	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
567	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
568	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
569	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
570	C₄×C₁₁	—	2	4	no	—
571	C₄×C₁₁	—	2	2	no	—
572	C₄×C₁₁	—	2	2	no	—
573	C₄×C₁₁	—	2	4	no	—
574	C₄×C₁₁	—	2	4	no	—
575	C₄×C₁₁	—	4	2	no	—
576	C₄×C₁₁	—	4	2	no	—
577	C₄×C₁₁	—	4	2	no	—
578	C₄×C₁₁	—	4	2	no	—
579	C₄×C₁₁	—	4	2	no	—
580	C₄×C₁₁	—	4	1	no	—
581	C₄×C₁₁	—	4	1	no	—
582	C₄×C₁₁	—	4	1	no	—
583	C₄×C₁₁	—	4	1	no	—
584	C₄×C₁₁	—	4	2	no	—
585	C₂⁵	C₂³×C₁₁	1	2	yes	—
586	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
587	C₂²×D₄	—	2	4	no	—
588	C₂²×D₄	—	4	2	no	—
589	C₂²×D₄	—	4	2	no	—
590	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
591	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
592	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
593	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
594	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
595	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
596	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
597	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
598	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
599	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
600	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
601	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
602	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
603	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
604	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
605	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
606	#124	—	4	4	no	—
607	C₂²⋊Q₈	—	4	2	no	—
608	#121	—	2	8	no	—
609	#121	—	4	4	no	—
610	#121	—	4	4	no	—
611	#121	—	4	2	no	—
612	#120	—	2	8	no	—
613	#120	—	4	4	no	—
614	C₄×D₄	—	2	8	no	—
615	C₄×D₄	—	4	4	no	—
616	#117	—	4	4	no	—
617	#117	—	4	4	no	—
618	C₂×C₄⋊C₄	—	4	2	no	—
619	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
620	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
621	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
622	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
623	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
624	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
625	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
626	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
627	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
628	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
629	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
630	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
631	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
632	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
633	C₂×C₂²⋊C₄	—	2	8	no	—
634	C₂×C₂²⋊C₄	—	4	4	no	—
635	C₂×C₂²⋊C₄	—	4	4	no	—
636	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
637	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
638	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
639	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
640	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
641	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
642	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
643	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
644	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
645	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
646	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
647	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
648	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
649	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
650	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
651	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
652	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
653	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
654	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
655	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
656	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
657	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
658	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
659	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
660	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
661	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
662	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
663	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
664	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
665	C₂×C₄²	—	4	2	no	—
666	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
667	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
668	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
669	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
670	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
671	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
672	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
673	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
679	#95	C₂³×C₁₁	1	2	yes	—
680	#95	C₂³×C₁₁	1	1	yes	characteristic
681	#95	C₂³×C₁₁	1	2	yes	—
682	#95	C₂³×C₁₁	1	1	yes	characteristic
683	#95	C₂³×C₁₁	1	1	yes	characteristic
684	#95	C₂³×C₁₁	1	2	yes	—
685	#95	C₂³×C₁₁	1	2	yes	—
686	#95	C₂³×C₁₁	1	2	yes	—
687	#95	C₂³×C₁₁	1	2	yes	—
688	#95	C₂³×C₁₁	1	2	yes	—
689	#95	C₂³×C₁₁	1	2	yes	—
690	#95	C₂³×C₁₁	1	2	yes	—
691	#95	C₂³×C₁₁	1	2	yes	—
692	C₂×C₁₁	—	2	4	no	—
693	C₂×C₁₁	—	4	4	no	—
694	C₂×C₁₁	—	8	2	no	—
695	C₂×C₁₁	—	8	2	no	—
696	C₂×C₁₁	C₂×#555	1	1	yes	characteristic
697	C₂×C₁₁	#3481	1	2	yes	—
698	C₂×C₁₁	#3490	1	1	yes	characteristic
699	C₂×C₁₁	#3519	1	2	yes	—
700	C₂×C₁₁	#3543	1	1	yes	characteristic
701	C₂⁴	—	2	4	no	—
702	C₂⁴	—	2	4	no	—
703	C₂⁴	—	2	4	no	—
704	C₂⁴	—	2	4	no	—
705	C₂⁴	—	4	2	no	—
706	C₂⁴	—	4	2	no	—
707	C₂⁴	—	4	2	no	—
708	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
709	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
710	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
711	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
712	C₂×Q₈	—	4	1	no	—
713	C₂×Q₈	—	4	2	no	—
714	C₂×D₄	—	2	4	no	—
715	C₂×D₄	—	2	4	no	—
716	C₂×D₄	—	2	4	no	—
717	C₂×D₄	—	2	4	no	—
718	C₂×D₄	—	2	4	no	—
719	C₂×D₄	—	2	4	no	—
720	C₂×D₄	—	2	4	no	—
721	C₂×D₄	—	2	2	no	—
722	C₂×D₄	—	2	4	no	—
723	C₂×D₄	—	2	4	no	—
724	C₂×D₄	—	4	2	no	—
725	C₂×D₄	—	4	1	no	—
726	C₂×D₄	—	4	1	no	—
727	C₂×D₄	—	4	1	no	—
728	C₂×D₄	—	4	2	no	—
729	C₂×D₄	—	4	1	no	—
730	C₂×D₄	—	4	16	no	—
731	C₂×D₄	—	4	2	no	—
732	C₂×D₄	—	4	2	no	—
733	C₂×D₄	—	4	2	no	—
734	C₂×D₄	—	4	2	no	—
735	C₂×D₄	—	4	2	no	—
736	C₂×D₄	—	4	2	no	—
737	C₂×D₄	—	4	2	no	—
738	C₂×D₄	—	4	1	no	—
739	C₂×D₄	—	4	2	no	—
740	C₂×D₄	C₁₁×#41	1	4	yes	—
741	C₂²×C₄	—	2	2	no	—
742	C₂²×C₄	—	2	2	no	—
743	C₂²×C₄	—	2	2	no	—
744	C₂²×C₄	—	2	4	no	—
745	C₂²×C₄	—	2	4	no	—
746	C₂²×C₄	—	2	2	no	—
747	C₂²×C₄	—	2	2	no	—
748	C₂²×C₄	—	2	4	no	—
749	C₂²×C₄	—	2	4	no	—
750	C₂²×C₄	—	2	4	no	—
751	C₂²×C₄	—	2	4	no	—
752	C₂²×C₄	—	2	4	no	—
753	C₂²×C₄	—	4	2	no	—
754	C₂²×C₄	—	4	2	no	—
755	C₂²×C₄	—	4	2	no	—
756	C₂²×C₄	—	4	2	no	—
757	C₂²×C₄	—	4	2	no	—
758	C₂²×C₄	—	4	2	no	—
759	C₂²×C₄	—	4	2	no	—
760	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
761	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
762	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
763	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
764	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
765	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
766	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
767	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
768	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
769	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
770	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
771	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
772	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
773	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
774	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
775	C₄⋊C₄	—	2	4	no	—
776	C₄⋊C₄	—	2	4	no	—
777	C₄⋊C₄	—	2	4	no	—
778	C₄⋊C₄	—	2	4	no	—
779	C₄⋊C₄	—	4	1	no	—
780	C₄⋊C₄	—	4	1	no	—
781	C₄⋊C₄	—	4	1	no	—
782	C₄⋊C₄	—	4	1	no	—
783	C₄⋊C₄	—	4	2	no	—
784	C₄⋊C₄	—	4	2	no	—
785	C₄⋊C₄	—	4	2	no	—
786	C₄⋊C₄	—	4	1	no	—
787	C₄⋊C₄	—	4	1	no	—
788	C₄⋊C₄	—	4	2	no	—
789	C₂²⋊C₄	—	2	4	no	—
790	C₂²⋊C₄	—	2	4	no	—
791	C₂²⋊C₄	—	2	4	no	—
792	C₂²⋊C₄	—	2	4	no	—
793	C₂²⋊C₄	—	2	4	no	—
794	C₂²⋊C₄	—	2	4	no	—
795	C₂²⋊C₄	—	2	4	no	—
796	C₂²⋊C₄	—	2	4	no	—
797	C₂²⋊C₄	—	2	4	no	—
798	C₂²⋊C₄	—	2	4	no	—
799	C₂²⋊C₄	—	2	4	no	—
800	C₂²⋊C₄	—	2	4	no	—
801	C₂²⋊C₄	—	2	4	no	—
802	C₂²⋊C₄	—	2	4	no	—
803	C₂²⋊C₄	—	2	4	no	—
804	C₂²⋊C₄	—	4	2	no	—
805	C₂²⋊C₄	—	4	2	no	—
806	C₂²⋊C₄	—	4	2	no	—
807	C₂²⋊C₄	—	4	2	no	—
808	C₂²⋊C₄	—	4	2	no	—
809	C₂²⋊C₄	—	4	2	no	—
810	C₂²⋊C₄	—	4	2	no	—
811	C₂²⋊C₄	—	4	2	no	—
812	C₂²⋊C₄	—	4	2	no	—
813	C₂²⋊C₄	—	4	2	no	—
814	C₂²⋊C₄	—	4	2	no	—
815	C₂²⋊C₄	—	4	2	no	—
816	C₂²⋊C₄	—	4	2	no	—
817	C₂²⋊C₄	C₁₁×#41	1	8	yes	—
818	C₄²	—	2	4	no	—
819	C₄²	—	2	4	no	—
820	C₄²	—	2	4	no	—
821	C₄²	—	4	1	no	—
822	C₄²	—	4	1	no	—
823	C₄²	—	4	2	no	—
824	C₄²	—	4	2	no	—
825	C₄²	—	4	2	no	—
826	C₁₁	#59947	1	1	yes	characteristic, direct product factor, Sylow
827	C₂³	—	2	1	no	—
828	C₂³	—	2	2	no	—
829	C₂³	—	2	1	no	—
830	C₂³	—	2	2	no	—
831	C₂³	—	2	2	no	—
832	C₂³	—	2	2	no	—
833	C₂³	—	2	2	no	—
834	C₂³	—	2	2	no	—
835	C₂³	—	2	2	no	—
836	C₂³	—	2	2	no	—
837	C₂³	—	2	2	no	—
838	C₂³	—	2	2	no	—
839	C₂³	—	2	2	no	—
840	C₂³	—	2	2	no	—
841	C₂³	—	2	2	no	—
842	C₂³	—	2	2	no	—
843	C₂³	—	2	2	no	—
844	C₂³	—	2	2	no	—
845	C₂³	—	2	2	no	—
846	C₂³	—	2	2	no	—
847	C₂³	—	2	2	no	—
848	C₂³	—	2	2	no	—
849	C₂³	—	2	2	no	—
850	C₂³	—	4	8	no	—
851	C₂³	—	4	8	no	—
852	C₂³	—	4	8	no	—
853	C₂³	—	4	8	no	—
854	C₂³	—	8	4	no	—
855	C₂³	—	8	4	no	—
856	C₂³	—	8	4	no	—
857	C₂³	C₂×C₁₁×#41	1	4	yes	—
858	C₂³	C₂×C₁₁×#41	1	4	yes	—
859	C₂³	C₁₁×H(5,𝔽₂)	1	2	yes	—
860	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
861	Q₈	—	8	2	no	—
862	D₄	—	4	4	no	—
863	D₄	—	4	8	no	—
864	D₄	—	4	8	no	—
865	D₄	—	4	4	no	—
866	D₄	—	4	8	no	—
867	D₄	—	8	4	no	—
868	D₄	—	8	4	no	—
869	D₄	—	8	2	no	—
870	D₄	—	8	4	no	—
871	C₂×C₄	—	2	8	no	—
872	C₂×C₄	—	2	2	no	—
873	C₂×C₄	—	2	2	no	—
874	C₂×C₄	—	2	1	no	—
875	C₂×C₄	—	2	2	no	—
876	C₂×C₄	—	2	1	no	—
877	C₂×C₄	—	2	2	no	—
878	C₂×C₄	—	2	2	no	—
879	C₂×C₄	—	2	2	no	—
880	C₂×C₄	—	2	1	no	—
881	C₂×C₄	—	2	1	no	—
882	C₂×C₄	—	2	2	no	—
883	C₂×C₄	—	2	2	no	—
884	C₂×C₄	—	2	2	no	—
885	C₂×C₄	—	2	2	no	—
886	C₂×C₄	—	2	2	no	—
887	C₂×C₄	—	2	2	no	—
888	C₂×C₄	—	2	2	no	—
889	C₂×C₄	—	2	2	no	—
890	C₂×C₄	—	2	2	no	—
891	C₂×C₄	—	2	2	no	—
892	C₂×C₄	—	2	2	no	—
893	C₂×C₄	—	2	2	no	—
894	C₂×C₄	—	2	2	no	—
895	C₂×C₄	—	2	2	no	—
896	C₂×C₄	—	2	2	no	—
897	C₂×C₄	—	2	2	no	—
898	C₂×C₄	—	2	2	no	—
899	C₂×C₄	—	2	2	no	—
900	C₂×C₄	—	2	2	no	—
901	C₂×C₄	—	2	2	no	—
902	C₂×C₄	—	2	2	no	—
903	C₂×C₄	—	2	2	no	—
904	C₂×C₄	—	2	1	no	—
905	C₂×C₄	—	2	1	no	—
906	C₂×C₄	—	2	1	no	—
907	C₂×C₄	—	2	1	no	—
908	C₂×C₄	—	4	8	no	—
909	C₂×C₄	—	4	8	no	—
910	C₂×C₄	—	4	8	no	—
911	C₂×C₄	—	8	4	no	—
912	C₂×C₄	—	8	2	no	—
913	C₂×C₄	—	8	2	no	—
914	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
915	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
916	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
917	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
918	C₂×C₄	C₁₁×H(5,𝔽₂)	1	4	yes	—
919	C₂²	—	2	4	no	—
920	C₂²	—	2	2	no	—
921	C₂²	—	2	4	no	—
922	C₂²	—	2	2	no	—
923	C₂²	—	2	4	no	—
924	C₂²	—	2	4	no	—
925	C₂²	—	2	4	no	—
926	C₂²	—	4	2	no	—
927	C₂²	—	4	2	no	—
928	C₂²	—	4	2	no	—
929	C₂²	—	4	2	no	—
930	C₂²	—	4	2	no	—
931	C₂²	—	4	2	no	—
932	C₂²	—	4	2	no	—
933	C₂²	—	4	2	no	—
934	C₂²	—	4	2	no	—
935	C₂²	—	4	2	no	—
936	C₂²	—	4	2	no	—
937	C₂²	—	4	2	no	—
938	C₂²	—	4	2	no	—
939	C₂²	—	4	2	no	—
940	C₂²	—	4	2	no	—
941	C₂²	—	4	2	no	—
942	C₂²	—	4	2	no	—
943	C₂²	—	4	2	no	—
944	C₂²	—	8	16	no	—
945	C₂²	C₁₁×#555	1	4	yes	—
946	C₂²	C₂²×C₁₁×#41	1	2	yes	—
947	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
948	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
949	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	2	yes	—
950	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
951	C₄	—	2	4	no	—
952	C₄	—	2	2	no	—
953	C₄	—	2	2	no	—
954	C₄	—	2	4	no	—
955	C₄	—	2	4	no	—
956	C₄	—	4	2	no	—
957	C₄	—	4	2	no	—
958	C₄	—	4	2	no	—
959	C₄	—	4	2	no	—
960	C₄	—	4	2	no	—
961	C₄	—	4	1	no	—
962	C₄	—	4	1	no	—
963	C₄	—	4	1	no	—
964	C₄	—	4	1	no	—
965	C₄	—	4	2	no	—
966	C₂	—	2	4	no	—
967	C₂	—	4	4	no	—
968	C₂	—	8	2	no	—
969	C₂	—	8	2	no	—
970	C₂	C₂×C₁₁×#555	1	1	yes	characteristic
971	C₂	C₁₁×#3481	1	2	yes	—
972	C₂	C₁₁×#3490	1	1	yes	characteristic
973	C₂	C₁₁×#3519	1	2	yes	—
974	C₂	C₁₁×#3543	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
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×#2803	C₂	semidirect
2. C₁₁×#2784	C₂	semidirect
3. C₁₁×#2699	C₂	semidirect
4. C₁₁×#2610	C₂	semidirect
5. C₁₁×#2593	C₂	semidirect
6. C₁₁×#2591	C₂	semidirect
7. C₁₁×#2583	C₂	semidirect
8. C₁₁×#2555	C₂	semidirect
9. C₁₁×#2526	C₂	semidirect
10. C₁₁×#2476	C₂	semidirect
11. C₁₁×#2472	C₂	semidirect
12. C₁₁×#2424	C₂	semidirect
13. C₁₁×#2414	C₂	semidirect
14. C₁₁×#2410	C₂	semidirect
15. C₁₁×#2363	C₂	semidirect
16. C₁₁×#2358	C₂	semidirect
17. C₁₁×#2342	C₂	semidirect
18. C₂×C₁₁×#390	C₂	semidirect
19. C₁₁×#2290	C₂	semidirect
21. C₂×C₁₁×#124	C₂²	semidirect
26. C₂×C₁₁×#121	C₂²	semidirect
30. C₂×C₄×D₄×C₁₁	C₂²	semidirect
31. C₂×C₁₁×#117	C₂²	semidirect
32. C₂×C₁₁×#117	C₂²	semidirect
38. C₁₁×#400	C₂²	semidirect
39. C₁₁×#400	C₂²	semidirect
40. C₁₁×#398	C₂²	semidirect
41. C₁₁×#398	C₂²	semidirect
42. C₁₁×#397	C₂²	semidirect
43. C₁₁×#396	C₂²	semidirect
44. C₁₁×#395	C₂²	semidirect
45. C₁₁×#395	C₂²	semidirect
48. C₁₁×#394	C₂²	semidirect
49. C₁₁×#394	C₂²	semidirect
50. C₁₁×#394	C₂²	semidirect
51. C₁₁×#394	C₂²	semidirect
52. C₁₁×#394	C₂²	semidirect
53. C₁₁×#394	C₂²	semidirect
54. C₁₁×#393	C₂²	semidirect
57. C₁₁×#392	C₂²	semidirect
64. C₁₁×#390	C₂²	semidirect
65. C₁₁×#390	C₂²	semidirect
66. C₁₁×#390	C₂²	semidirect
67. C₁₁×#389	C₂²	semidirect
68. C₁₁×#389	C₂²	semidirect
69. C₁₁×#388	C₂²	semidirect
70. C₁₁×#388	C₂²	semidirect
71. C₁₁×#388	C₂²	semidirect
72. C₁₁×#388	C₂²	semidirect
73. C₁₁×#388	C₂²	semidirect
74. C₁₁×#388	C₂²	semidirect
75. C₁₁×#388	C₂²	semidirect
76. C₁₁×#388	C₂²	semidirect
77. C₁₁×#388	C₂²	semidirect
78. C₁₁×#388	C₂²	semidirect
79. C₁₁×#388	C₂²	semidirect
80. C₁₁×#388	C₂²	semidirect
81. C₁₁×#388	C₂²	semidirect
82. C₁₁×#387	C₂²	semidirect
83. C₁₁×#387	C₂²	semidirect
89. C₁₁×#386	C₂²	semidirect
90. C₁₁×#386	C₂²	semidirect
91. C₁₁×#386	C₂²	semidirect
95. C₁₁×#385	C₂²	semidirect
96. C₁₁×#381	C₂²	semidirect
97. C₁₁×#380	C₂²	semidirect
99. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
103. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
104. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
105. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
106. C₁₁×#376	C₂²	semidirect
214. #59947	C₁₁	direct (N × H)
340. #2803	C₂×C₁₁	semidirect
341. #2784	C₂×C₁₁	semidirect
342. #2699	C₂×C₁₁	semidirect
343. #2610	C₂×C₁₁	semidirect
344. #2593	C₂×C₁₁	semidirect
345. #2591	C₂×C₁₁	semidirect
346. #2583	C₂×C₁₁	semidirect
347. #2555	C₂×C₁₁	semidirect
348. #2526	C₂×C₁₁	semidirect
349. #2476	C₂×C₁₁	semidirect
350. #2472	C₂×C₁₁	semidirect
351. #2424	C₂×C₁₁	semidirect
352. #2414	C₂×C₁₁	semidirect
353. #2410	C₂×C₁₁	semidirect
354. #2363	C₂×C₁₁	semidirect
355. #2358	C₂×C₁₁	semidirect
356. #2342	C₂×C₁₁	semidirect
357. C₂×#390	C₂×C₁₁	semidirect
358. #2290	C₂×C₁₁	semidirect
452. C₂×#124	C₂²×C₁₁	semidirect
457. C₂×#121	C₂²×C₁₁	semidirect
461. C₂×C₄×D₄	C₂²×C₁₁	semidirect
462. C₂×#117	C₂²×C₁₁	semidirect
463. C₂×#117	C₂²×C₁₁	semidirect
469. #400	C₂²×C₁₁	semidirect
470. #400	C₂²×C₁₁	semidirect
471. #398	C₂²×C₁₁	semidirect
472. #398	C₂²×C₁₁	semidirect
473. #397	C₂²×C₁₁	semidirect
474. #396	C₂²×C₁₁	semidirect
475. #395	C₂²×C₁₁	semidirect
476. #395	C₂²×C₁₁	semidirect
479. #394	C₂²×C₁₁	semidirect
480. #394	C₂²×C₁₁	semidirect
481. #394	C₂²×C₁₁	semidirect
482. #394	C₂²×C₁₁	semidirect
483. #394	C₂²×C₁₁	semidirect
484. #394	C₂²×C₁₁	semidirect
485. #393	C₂²×C₁₁	semidirect
488. #392	C₂²×C₁₁	semidirect
495. #390	C₂²×C₁₁	semidirect
496. #390	C₂²×C₁₁	semidirect
497. #390	C₂²×C₁₁	semidirect
498. #389	C₂²×C₁₁	semidirect
499. #389	C₂²×C₁₁	semidirect
500. #388	C₂²×C₁₁	semidirect
501. #388	C₂²×C₁₁	semidirect
502. #388	C₂²×C₁₁	semidirect
503. #388	C₂²×C₁₁	semidirect
504. #388	C₂²×C₁₁	semidirect
505. #388	C₂²×C₁₁	semidirect
506. #388	C₂²×C₁₁	semidirect
507. #388	C₂²×C₁₁	semidirect
508. #388	C₂²×C₁₁	semidirect
509. #388	C₂²×C₁₁	semidirect
510. #388	C₂²×C₁₁	semidirect
511. #388	C₂²×C₁₁	semidirect
512. #388	C₂²×C₁₁	semidirect
513. #387	C₂²×C₁₁	semidirect
514. #387	C₂²×C₁₁	semidirect
520. #386	C₂²×C₁₁	semidirect
521. #386	C₂²×C₁₁	semidirect
522. #386	C₂²×C₁₁	semidirect
526. #385	C₂²×C₁₁	semidirect
527. #381	C₂²×C₁₁	semidirect
528. #380	C₂²×C₁₁	semidirect
530. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
534. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
535. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
536. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
537. #376	C₂²×C₁₁	semidirect
826. C₁₁	#59947	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×#2803	2
C₁₁×#2784	2
C₁₁×#2699	2
C₁₁×#2610	2
C₁₁×#2593	2
C₁₁×#2591	2
C₁₁×#2583	2
C₁₁×#2555	2
C₁₁×#2526	2
C₁₁×#2476	2
C₁₁×#2472	2
C₁₁×#2424	2
C₁₁×#2414	2
C₁₁×#2410	2
C₁₁×#2363	2
C₁₁×#2358	2
C₁₁×#2342	2
C₂×C₁₁×#390	2
C₁₁×#2290	2
#59947	11

Subgroups — C11×#59947 #14637140

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#59947 #14637140