Subgroups — C₁₁×#59962 #14637155

Order 2816.

1856 conjugacy classes of subgroups.

The subgroup lattice has 972 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2781	C₂	1	2	yes	maximal, complemented
2	C₁₁×#2694	C₂	1	2	yes	maximal, complemented
3	C₁₁×#2609	C₂	1	2	yes	maximal, complemented
4	C₁₁×#2601	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2553	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2513	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#2512	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#2508	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2507	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#2498	C₂	1	2	yes	maximal, complemented
11	C₁₁×#2485	C₂	1	2	yes	maximal, complemented
12	C₁₁×#2454	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#2454	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#2445	C₂	1	1	yes	maximal, characteristic
15	C₁₁×#2445	C₂	1	1	yes	maximal, characteristic
16	C₁₁×#2370	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#2366	C₂	1	1	yes	maximal, characteristic
18	C₁₁×#2359	C₂	1	2	yes	maximal, complemented
19	C₁₁×#2354	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₁×#2349	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₁₁×#125	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₁×#2293	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2293	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×#126	C₂²	1	2	yes	—
26	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic
27	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic
28	C₂×C₁₁×#123	C₂²	1	2	yes	—
29	C₂×C₁₁×#123	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×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
34	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
35	C₂×C₁₁×#117	C₂²	1	2	yes	—
36	C₂×C₁₁×#117	C₂²	1	2	yes	—
37	C₂×C₁₁×#117	C₂²	1	2	yes	—
38	C₁₁×#400	C₂²	1	2	yes	—
39	C₁₁×#399	C₂²	1	2	yes	—
40	C₁₁×#399	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×#396	C₂²	1	2	yes	—
48	C₁₁×#396	C₂²	1	2	yes	—
49	C₁₁×#396	C₂²	1	2	yes	—
50	C₁₁×#394	C₂²	1	2	yes	—
51	C₁₁×#394	C₂²	1	2	yes	—
52	C₁₁×#394	C₂²	1	2	yes	—
53	C₁₁×#394	C₂²	1	2	yes	—
54	C₁₁×#390	C₂²	1	2	yes	—
55	C₁₁×#390	C₂²	1	1	yes	characteristic
56	C₁₁×#390	C₂²	1	1	yes	characteristic
57	C₁₁×#390	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×#390	C₂²	1	1	yes	characteristic
62	C₁₁×#390	C₂²	1	1	yes	characteristic
63	C₁₁×#389	C₂²	1	2	yes	—
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	1	yes	characteristic
68	C₁₁×#389	C₂²	1	1	yes	characteristic
69	C₁₁×#389	C₂²	1	1	yes	characteristic
70	C₁₁×#389	C₂²	1	2	yes	—
71	C₁₁×#389	C₂²	1	1	yes	characteristic
72	C₁₁×#389	C₂²	1	1	yes	characteristic
73	C₁₁×#389	C₂²	1	1	yes	characteristic
74	C₁₁×#389	C₂²	1	1	yes	characteristic
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×#388	C₂²	1	2	yes	—
80	C₁₁×#388	C₂²	1	2	yes	—
81	C₁₁×#388	C₂²	1	2	yes	—
82	C₁₁×#388	C₂²	1	2	yes	—
83	C₁₁×#388	C₂²	1	2	yes	—
84	C₁₁×#387	C₂²	1	2	yes	—
85	C₁₁×#387	C₂²	1	1	yes	characteristic
86	C₁₁×#387	C₂²	1	2	yes	—
87	C₁₁×#387	C₂²	1	1	yes	characteristic
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×#386	C₂²	1	2	yes	—
93	C₁₁×#386	C₂²	1	2	yes	—
94	C₁₁×#386	C₂²	1	2	yes	—
95	C₁₁×#386	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×#385	C₂²	1	2	yes	—
100	C₁₁×#384	C₂²	1	1	yes	characteristic
101	C₁₁×#382	C₂²	1	1	yes	characteristic
102	C₁₁×#382	C₂²	1	2	yes	—
103	C₁₁×#382	C₂²	1	1	yes	characteristic
104	C₁₁×#380	C₂²	1	2	yes	—
105	C₁₁×#380	C₂²	1	2	yes	—
106	C₁₁×#380	C₂²	1	2	yes	—
107	C₁₁×#380	C₂²	1	2	yes	—
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	1	yes	characteristic
118	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
119	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₂×C₁₁×#95	C₂²	1	2	yes	—
122	C₄³×C₁₁	C₂²	1	1	yes	characteristic
123	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
124	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
125	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
127	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
128	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
129	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
130	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
131	C₁₁×#127	—	2	4	no	—
132	C₁₁×#126	—	4	4	no	—
133	C₁₁×#125	—	2	4	no	—
134	C₁₁×#125	—	2	4	no	—
135	C₁₁×#123	—	2	8	no	—
136	C₁₁×#123	—	4	4	no	—
137	C₄×D₄×C₁₁	—	2	4	no	—
138	C₄×D₄×C₁₁	—	2	4	no	—
139	C₄×D₄×C₁₁	—	2	4	no	—
140	C₄×D₄×C₁₁	—	2	4	no	—
141	C₄×D₄×C₁₁	—	4	4	no	—
142	C₁₁×#117	—	4	4	no	—
143	C₁₁×#117	—	4	4	no	—
144	C₁₁×#117	—	4	4	no	—
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	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
158	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
159	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
160	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
164	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
168	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
169	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
173	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
174	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
195	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
196	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
197	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
198	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
199	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
200	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
201	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
202	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
203	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
204	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
205	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
209	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
210	C₁₁×#95	C₂³	1	1	yes	characteristic
211	C₁₁×#95	C₂³	1	2	yes	—
212	C₁₁×#95	C₂³	1	2	yes	—
213	C₁₁×#95	C₂³	1	2	yes	—
214	C₁₁×#95	C₂³	1	2	yes	—
215	C₁₁×#95	C₂³	1	2	yes	—
216	C₁₁×#95	C₂³	1	2	yes	—
217	C₁₁×#95	C₂³	1	1	yes	characteristic
218	C₁₁×#95	C₂³	1	1	yes	characteristic
219	C₁₁×#95	C₂³	1	1	yes	characteristic
220	C₁₁×#95	C₂³	1	1	yes	characteristic
221	C₁₁×#95	C₂³	1	2	yes	—
222	C₁₁×#95	C₂³	1	2	yes	—
223	C₁₁×#95	C₂³	1	1	yes	characteristic
224	C₁₁×#95	C₂³	1	1	yes	characteristic
225	C₁₁×#95	C₂³	1	1	yes	characteristic
226	C₁₁×#95	C₂³	1	1	yes	characteristic
227	C₁₁×#95	C₂³	1	1	yes	characteristic
228	C₁₁×#95	C₂³	1	2	yes	—
229	C₁₁×#95	C₂³	1	1	yes	characteristic
230	C₁₁×#95	C₂³	1	1	yes	characteristic
231	C₁₁×#95	C₂³	1	2	yes	—
232	C₁₁×#95	C₂³	1	2	yes	—
233	C₁₁×#95	C₂³	1	2	yes	—
234	C₁₁×#95	C₂³	1	2	yes	—
235	C₁₁×#95	C₂³	1	2	yes	—
236	#59962	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
237	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
238	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
239	C₂×D₄×C₁₁	—	2	4	no	—
240	C₂×D₄×C₁₁	—	2	4	no	—
241	C₂×D₄×C₁₁	—	2	2	no	—
242	C₂×D₄×C₁₁	—	2	2	no	—
243	C₂×D₄×C₁₁	—	2	4	no	—
244	C₂×D₄×C₁₁	—	2	2	no	—
245	C₂×D₄×C₁₁	—	2	2	no	—
246	C₂×D₄×C₁₁	—	2	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	#41	1	4	yes	—
251	C₂²×C₄×C₁₁	—	2	4	no	—
252	C₂²×C₄×C₁₁	—	2	4	no	—
253	C₂²×C₄×C₁₁	—	2	4	no	—
254	C₂²×C₄×C₁₁	—	2	4	no	—
255	C₂²×C₄×C₁₁	—	2	4	no	—
256	C₂²×C₄×C₁₁	—	2	4	no	—
257	C₂²×C₄×C₁₁	—	2	4	no	—
258	C₂²×C₄×C₁₁	—	4	2	no	—
259	C₂²×C₄×C₁₁	—	4	2	no	—
260	C₂²×C₄×C₁₁	—	4	2	no	—
261	C₂²×C₄×C₁₁	—	4	2	no	—
262	C₂²×C₄×C₁₁	—	4	2	no	—
263	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
264	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
265	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
266	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
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	1	yes	characteristic
271	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
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	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
276	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
277	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
278	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
279	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
280	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
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	C₁₁×C₄⋊C₄	—	2	2	no	—
285	C₁₁×C₄⋊C₄	—	2	2	no	—
286	C₁₁×C₄⋊C₄	—	2	4	no	—
287	C₁₁×C₄⋊C₄	—	2	2	no	—
288	C₁₁×C₄⋊C₄	—	2	2	no	—
289	C₁₁×C₄⋊C₄	—	2	4	no	—
290	C₁₁×C₄⋊C₄	—	2	4	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	—	2	2	no	—
295	C₁₁×C₄⋊C₄	—	2	2	no	—
296	C₁₁×C₄⋊C₄	—	2	2	no	—
297	C₁₁×C₄⋊C₄	—	2	2	no	—
298	C₁₁×C₄⋊C₄	—	2	2	no	—
299	C₁₁×C₄⋊C₄	—	2	2	no	—
300	C₁₁×C₄⋊C₄	—	2	2	no	—
301	C₁₁×C₄⋊C₄	—	4	1	no	—
302	C₁₁×C₄⋊C₄	—	4	1	no	—
303	C₁₁×C₄⋊C₄	—	4	2	no	—
304	C₁₁×C₄⋊C₄	—	4	2	no	—
305	C₁₁×C₄⋊C₄	—	4	2	no	—
306	C₁₁×C₄⋊C₄	—	4	2	no	—
307	C₁₁×C₄⋊C₄	—	4	2	no	—
308	C₁₁×C₄⋊C₄	—	4	2	no	—
309	C₁₁×C₄⋊C₄	—	4	2	no	—
310	C₁₁×C₄⋊C₄	—	4	2	no	—
311	C₁₁×C₄⋊C₄	—	4	2	no	—
312	C₁₁×C₄⋊C₄	#41	1	4	yes	—
313	C₁₁×C₄⋊C₄	#41	1	4	yes	—
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	—	2	4	no	—
319	C₁₁×C₂²⋊C₄	—	2	4	no	—
320	C₁₁×C₂²⋊C₄	—	2	4	no	—
321	C₁₁×C₂²⋊C₄	—	2	4	no	—
322	C₁₁×C₂²⋊C₄	—	2	4	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	—	4	2	no	—
332	C₁₁×C₂²⋊C₄	—	4	2	no	—
333	C₁₁×C₂²⋊C₄	—	4	2	no	—
334	C₄²×C₁₁	—	2	2	no	—
335	C₄²×C₁₁	—	2	2	no	—
336	C₄²×C₁₁	—	2	2	no	—
337	C₄²×C₁₁	—	2	2	no	—
338	C₄²×C₁₁	—	2	2	no	—
339	C₄²×C₁₁	—	2	2	no	—
340	C₄²×C₁₁	—	2	2	no	—
341	C₄²×C₁₁	—	2	4	no	—
342	C₄²×C₁₁	—	2	2	no	—
343	C₄²×C₁₁	—	2	2	no	—
344	C₄²×C₁₁	—	2	4	no	—
345	C₄²×C₁₁	—	2	2	no	—
346	C₄²×C₁₁	—	4	1	no	—
347	C₄²×C₁₁	—	4	2	no	—
348	C₄²×C₁₁	—	4	2	no	—
349	#2781	C₂×C₁₁	1	2	yes	complemented
350	#2694	C₂×C₁₁	1	2	yes	complemented
351	#2609	C₂×C₁₁	1	2	yes	complemented
352	#2601	C₂×C₁₁	1	2	yes	complemented
353	#2553	C₂×C₁₁	1	2	yes	complemented
354	#2513	C₂×C₁₁	1	1	yes	characteristic, complemented
355	#2512	C₂×C₁₁	1	1	yes	characteristic, complemented
356	#2508	C₂×C₁₁	1	1	yes	characteristic, complemented
357	#2507	C₂×C₁₁	1	1	yes	characteristic, complemented
358	#2498	C₂×C₁₁	1	2	yes	complemented
359	#2485	C₂×C₁₁	1	2	yes	complemented
360	#2454	C₂×C₁₁	1	1	yes	characteristic, complemented
361	#2454	C₂×C₁₁	1	1	yes	characteristic, complemented
362	#2445	C₂×C₁₁	1	1	yes	characteristic
363	#2445	C₂×C₁₁	1	1	yes	characteristic
364	#2370	C₂×C₁₁	1	1	yes	characteristic, complemented
365	#2366	C₂×C₁₁	1	1	yes	characteristic
366	#2359	C₂×C₁₁	1	2	yes	complemented
367	#2354	C₂×C₁₁	1	1	yes	characteristic, complemented
368	#2349	C₂×C₁₁	1	1	yes	characteristic, complemented
369	C₄×#125	C₂×C₁₁	1	1	yes	characteristic, complemented
370	#2293	C₂×C₁₁	1	1	yes	characteristic, complemented
371	#2293	C₂×C₁₁	1	1	yes	characteristic, complemented
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	—	2	2	no	—
383	C₂³×C₁₁	—	2	2	no	—
384	C₂³×C₁₁	—	2	2	no	—
385	C₂³×C₁₁	C₂×#41	1	4	yes	—
386	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
387	D₄×C₁₁	—	2	8	no	—
388	D₄×C₁₁	—	4	8	no	—
389	D₄×C₁₁	—	4	4	no	—
390	D₄×C₁₁	—	8	4	no	—
391	C₂×C₄×C₁₁	—	2	1	no	—
392	C₂×C₄×C₁₁	—	2	1	no	—
393	C₂×C₄×C₁₁	—	2	1	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	1	no	—
398	C₂×C₄×C₁₁	—	2	1	no	—
399	C₂×C₄×C₁₁	—	2	1	no	—
400	C₂×C₄×C₁₁	—	2	1	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	1	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	1	no	—
409	C₂×C₄×C₁₁	—	2	1	no	—
410	C₂×C₄×C₁₁	—	2	1	no	—
411	C₂×C₄×C₁₁	—	2	1	no	—
412	C₂×C₄×C₁₁	—	2	1	no	—
413	C₂×C₄×C₁₁	—	2	2	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	2	no	—
421	C₂×C₄×C₁₁	—	2	1	no	—
422	C₂×C₄×C₁₁	—	2	1	no	—
423	C₂×C₄×C₁₁	—	2	2	no	—
424	C₂×C₄×C₁₁	—	2	1	no	—
425	C₂×C₄×C₁₁	—	2	2	no	—
426	C₂×C₄×C₁₁	—	2	1	no	—
427	C₂×C₄×C₁₁	—	2	2	no	—
428	C₂×C₄×C₁₁	—	2	2	no	—
429	C₂×C₄×C₁₁	—	2	1	no	—
430	C₂×C₄×C₁₁	—	2	2	no	—
431	C₂×C₄×C₁₁	—	2	1	no	—
432	C₂×C₄×C₁₁	—	2	1	no	—
433	C₂×C₄×C₁₁	—	2	1	no	—
434	C₂×C₄×C₁₁	—	2	1	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	2	no	—
439	C₂×C₄×C₁₁	—	2	2	no	—
440	C₂×C₄×C₁₁	—	2	1	no	—
441	C₂×C₄×C₁₁	—	2	2	no	—
442	C₂×C₄×C₁₁	—	2	1	no	—
443	C₂×C₄×C₁₁	—	2	1	no	—
444	C₂×C₄×C₁₁	—	2	1	no	—
445	C₂×C₄×C₁₁	—	4	8	no	—
446	C₂×C₄×C₁₁	—	4	8	no	—
447	C₂×C₄×C₁₁	—	4	8	no	—
448	C₂×C₄×C₁₁	—	8	4	no	—
449	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
450	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
451	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
452	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
453	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
454	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
455	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
456	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
457	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
458	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
459	C₂×#126	C₂²×C₁₁	1	2	yes	—
460	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
461	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
462	C₂×#123	C₂²×C₁₁	1	2	yes	—
463	C₂×#123	C₂²×C₁₁	1	2	yes	—
464	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
465	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
466	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
467	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
468	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
469	C₂×#117	C₂²×C₁₁	1	2	yes	—
470	C₂×#117	C₂²×C₁₁	1	2	yes	—
471	C₂×#117	C₂²×C₁₁	1	2	yes	—
472	#400	C₂²×C₁₁	1	2	yes	—
473	#399	C₂²×C₁₁	1	2	yes	—
474	#399	C₂²×C₁₁	1	2	yes	—
475	#398	C₂²×C₁₁	1	2	yes	—
476	#398	C₂²×C₁₁	1	2	yes	—
477	#398	C₂²×C₁₁	1	2	yes	—
478	#397	C₂²×C₁₁	1	2	yes	—
479	#397	C₂²×C₁₁	1	2	yes	—
480	#397	C₂²×C₁₁	1	2	yes	—
481	#396	C₂²×C₁₁	1	2	yes	—
482	#396	C₂²×C₁₁	1	2	yes	—
483	#396	C₂²×C₁₁	1	2	yes	—
484	#394	C₂²×C₁₁	1	2	yes	—
485	#394	C₂²×C₁₁	1	2	yes	—
486	#394	C₂²×C₁₁	1	2	yes	—
487	#394	C₂²×C₁₁	1	2	yes	—
488	#390	C₂²×C₁₁	1	2	yes	—
489	#390	C₂²×C₁₁	1	1	yes	characteristic
490	#390	C₂²×C₁₁	1	1	yes	characteristic
491	#390	C₂²×C₁₁	1	1	yes	characteristic
492	#390	C₂²×C₁₁	1	1	yes	characteristic
493	#390	C₂²×C₁₁	1	1	yes	characteristic
494	#390	C₂²×C₁₁	1	1	yes	characteristic
495	#390	C₂²×C₁₁	1	1	yes	characteristic
496	#390	C₂²×C₁₁	1	1	yes	characteristic
497	#389	C₂²×C₁₁	1	1	yes	characteristic
498	#389	C₂²×C₁₁	1	1	yes	characteristic
499	#389	C₂²×C₁₁	1	2	yes	—
500	#389	C₂²×C₁₁	1	1	yes	characteristic
501	#389	C₂²×C₁₁	1	1	yes	characteristic
502	#389	C₂²×C₁₁	1	2	yes	—
503	#389	C₂²×C₁₁	1	1	yes	characteristic
504	#389	C₂²×C₁₁	1	1	yes	characteristic
505	#389	C₂²×C₁₁	1	1	yes	characteristic
506	#389	C₂²×C₁₁	1	1	yes	characteristic
507	#389	C₂²×C₁₁	1	1	yes	characteristic
508	#389	C₂²×C₁₁	1	1	yes	characteristic
509	#388	C₂²×C₁₁	1	2	yes	—
510	#388	C₂²×C₁₁	1	2	yes	—
511	#388	C₂²×C₁₁	1	2	yes	—
512	#388	C₂²×C₁₁	1	2	yes	—
513	#388	C₂²×C₁₁	1	2	yes	—
514	#388	C₂²×C₁₁	1	2	yes	—
515	#388	C₂²×C₁₁	1	2	yes	—
516	#388	C₂²×C₁₁	1	2	yes	—
517	#388	C₂²×C₁₁	1	2	yes	—
518	#387	C₂²×C₁₁	1	1	yes	characteristic
519	#387	C₂²×C₁₁	1	1	yes	characteristic
520	#387	C₂²×C₁₁	1	1	yes	characteristic
521	#387	C₂²×C₁₁	1	1	yes	characteristic
522	#387	C₂²×C₁₁	1	2	yes	—
523	#387	C₂²×C₁₁	1	2	yes	—
524	#387	C₂²×C₁₁	1	2	yes	—
525	#387	C₂²×C₁₁	1	2	yes	—
526	#386	C₂²×C₁₁	1	2	yes	—
527	#386	C₂²×C₁₁	1	2	yes	—
528	#386	C₂²×C₁₁	1	2	yes	—
529	#386	C₂²×C₁₁	1	2	yes	—
530	#385	C₂²×C₁₁	1	2	yes	—
531	#385	C₂²×C₁₁	1	2	yes	—
532	#385	C₂²×C₁₁	1	2	yes	—
533	#385	C₂²×C₁₁	1	2	yes	—
534	#384	C₂²×C₁₁	1	1	yes	characteristic
535	#382	C₂²×C₁₁	1	1	yes	characteristic
536	#382	C₂²×C₁₁	1	1	yes	characteristic
537	#382	C₂²×C₁₁	1	2	yes	—
538	#380	C₂²×C₁₁	1	2	yes	—
539	#380	C₂²×C₁₁	1	2	yes	—
540	#380	C₂²×C₁₁	1	2	yes	—
541	#380	C₂²×C₁₁	1	2	yes	—
542	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
543	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
544	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
545	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
546	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
547	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
548	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
549	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
550	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
551	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
552	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
553	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
554	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
555	C₂×#95	C₂²×C₁₁	1	2	yes	—
556	C₄³	C₂²×C₁₁	1	1	yes	characteristic
557	C₂²×C₁₁	—	2	4	no	—
558	C₂²×C₁₁	—	2	4	no	—
559	C₂²×C₁₁	—	2	4	no	—
560	C₂²×C₁₁	—	4	2	no	—
561	C₂²×C₁₁	—	4	2	no	—
562	C₂²×C₁₁	—	4	2	no	—
563	C₂²×C₁₁	—	4	2	no	—
564	C₂²×C₁₁	—	4	2	no	—
565	C₂²×C₁₁	—	4	2	no	—
566	C₂²×C₁₁	—	4	2	no	—
567	C₂²×C₁₁	—	4	2	no	—
568	C₂²×C₁₁	—	4	2	no	—
569	C₂²×C₁₁	—	4	2	no	—
570	C₂²×C₁₁	—	4	2	no	—
571	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
572	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
573	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
574	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
575	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
576	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
577	C₂²×C₁₁	#585	1	1	yes	characteristic
578	C₄×C₁₁	—	2	2	no	—
579	C₄×C₁₁	—	2	2	no	—
580	C₄×C₁₁	—	2	2	no	—
581	C₄×C₁₁	—	2	2	no	—
582	C₄×C₁₁	—	2	2	no	—
583	C₄×C₁₁	—	2	4	no	—
584	C₄×C₁₁	—	4	1	no	—
585	C₄×C₁₁	—	4	2	no	—
586	C₄×C₁₁	—	4	1	no	—
587	C₄×C₁₁	—	4	1	no	—
588	C₄×C₁₁	—	4	1	no	—
589	C₄×C₁₁	—	4	2	no	—
590	C₄×C₁₁	—	4	1	no	—
591	C₄×C₁₁	—	4	1	no	—
592	C₄×C₁₁	—	4	2	no	—
593	C₄×C₁₁	—	4	1	no	—
594	C₄×C₁₁	—	4	1	no	—
595	C₄×C₁₁	—	4	1	no	—
596	C₄×C₁₁	—	4	2	no	—
597	C₄×C₁₁	—	4	2	no	—
598	C₄×C₁₁	#552	1	4	yes	—
599	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
600	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
601	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
602	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
603	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
604	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
605	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
606	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
607	#127	—	2	4	no	—
608	#126	—	4	4	no	—
609	#125	—	2	4	no	—
610	#125	—	2	4	no	—
611	#123	—	2	8	no	—
612	#123	—	4	4	no	—
613	C₄×D₄	—	2	4	no	—
614	C₄×D₄	—	2	4	no	—
615	C₄×D₄	—	2	4	no	—
616	C₄×D₄	—	2	4	no	—
617	C₄×D₄	—	4	4	no	—
618	#117	—	4	4	no	—
619	#117	—	4	4	no	—
620	#117	—	4	4	no	—
621	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
622	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
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	2	yes	—
627	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
628	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
629	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
630	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
631	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
632	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
633	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
634	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
635	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
636	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
637	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
638	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
639	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
640	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
641	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
642	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
643	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
644	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
645	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
646	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
649	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
666	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
667	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
668	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
669	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
670	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
671	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
672	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
673	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
674	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
675	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
676	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
677	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
678	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
679	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
680	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
681	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
682	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
683	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
684	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
685	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
686	#95	C₂³×C₁₁	1	1	yes	characteristic
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	#95	C₂³×C₁₁	1	2	yes	—
693	#95	C₂³×C₁₁	1	1	yes	characteristic
694	#95	C₂³×C₁₁	1	1	yes	characteristic
695	#95	C₂³×C₁₁	1	1	yes	characteristic
696	#95	C₂³×C₁₁	1	1	yes	characteristic
697	#95	C₂³×C₁₁	1	2	yes	—
698	#95	C₂³×C₁₁	1	2	yes	—
699	#95	C₂³×C₁₁	1	1	yes	characteristic
700	#95	C₂³×C₁₁	1	1	yes	characteristic
701	#95	C₂³×C₁₁	1	1	yes	characteristic
702	#95	C₂³×C₁₁	1	1	yes	characteristic
703	#95	C₂³×C₁₁	1	1	yes	characteristic
704	#95	C₂³×C₁₁	1	2	yes	—
705	#95	C₂³×C₁₁	1	1	yes	characteristic
706	#95	C₂³×C₁₁	1	1	yes	characteristic
707	#95	C₂³×C₁₁	1	2	yes	—
708	#95	C₂³×C₁₁	1	2	yes	—
709	#95	C₂³×C₁₁	1	2	yes	—
710	#95	C₂³×C₁₁	1	2	yes	—
711	#95	C₂³×C₁₁	1	2	yes	—
712	C₂×C₁₁	—	4	4	no	—
713	C₂×C₁₁	—	8	2	no	—
714	C₂×C₁₁	C₂×#552	1	1	yes	characteristic
715	C₂×C₁₁	#3481	1	1	yes	characteristic
716	C₂×C₁₁	#3483	1	1	yes	characteristic
717	C₂×C₁₁	#3507	1	1	yes	characteristic
718	C₂×C₁₁	#3513	1	1	yes	characteristic
719	C₂×C₁₁	#3513	1	1	yes	characteristic
720	C₂×C₁₁	#3548	1	1	yes	characteristic
721	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
722	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
723	C₂×D₄	—	2	4	no	—
724	C₂×D₄	—	2	4	no	—
725	C₂×D₄	—	2	2	no	—
726	C₂×D₄	—	2	2	no	—
727	C₂×D₄	—	2	4	no	—
728	C₂×D₄	—	2	2	no	—
729	C₂×D₄	—	2	2	no	—
730	C₂×D₄	—	2	2	no	—
731	C₂×D₄	—	4	2	no	—
732	C₂×D₄	—	4	2	no	—
733	C₂×D₄	—	4	2	no	—
734	C₂×D₄	C₁₁×#41	1	4	yes	—
735	C₂²×C₄	—	2	4	no	—
736	C₂²×C₄	—	2	4	no	—
737	C₂²×C₄	—	2	4	no	—
738	C₂²×C₄	—	2	4	no	—
739	C₂²×C₄	—	2	4	no	—
740	C₂²×C₄	—	2	4	no	—
741	C₂²×C₄	—	2	4	no	—
742	C₂²×C₄	—	4	2	no	—
743	C₂²×C₄	—	4	2	no	—
744	C₂²×C₄	—	4	2	no	—
745	C₂²×C₄	—	4	2	no	—
746	C₂²×C₄	—	4	2	no	—
747	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
748	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
749	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
750	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
751	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
752	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
753	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
754	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
755	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
756	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
757	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
758	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
759	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
760	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
761	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
762	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
763	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
764	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
765	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
766	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
767	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
768	C₄⋊C₄	—	2	2	no	—
769	C₄⋊C₄	—	2	2	no	—
770	C₄⋊C₄	—	2	4	no	—
771	C₄⋊C₄	—	2	2	no	—
772	C₄⋊C₄	—	2	2	no	—
773	C₄⋊C₄	—	2	4	no	—
774	C₄⋊C₄	—	2	4	no	—
775	C₄⋊C₄	—	2	2	no	—
776	C₄⋊C₄	—	2	2	no	—
777	C₄⋊C₄	—	2	2	no	—
778	C₄⋊C₄	—	2	2	no	—
779	C₄⋊C₄	—	2	2	no	—
780	C₄⋊C₄	—	2	2	no	—
781	C₄⋊C₄	—	2	2	no	—
782	C₄⋊C₄	—	2	2	no	—
783	C₄⋊C₄	—	2	2	no	—
784	C₄⋊C₄	—	2	2	no	—
785	C₄⋊C₄	—	4	2	no	—
786	C₄⋊C₄	—	4	2	no	—
787	C₄⋊C₄	—	4	2	no	—
788	C₄⋊C₄	—	4	2	no	—
789	C₄⋊C₄	—	4	2	no	—
790	C₄⋊C₄	—	4	2	no	—
791	C₄⋊C₄	—	4	2	no	—
792	C₄⋊C₄	—	4	2	no	—
793	C₄⋊C₄	—	4	1	no	—
794	C₄⋊C₄	—	4	1	no	—
795	C₄⋊C₄	—	4	2	no	—
796	C₄⋊C₄	C₁₁×#41	1	4	yes	—
797	C₄⋊C₄	C₁₁×#41	1	4	yes	—
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	—	2	4	no	—
805	C₂²⋊C₄	—	2	4	no	—
806	C₂²⋊C₄	—	2	4	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	—	4	2	no	—
818	C₄²	—	2	2	no	—
819	C₄²	—	2	2	no	—
820	C₄²	—	2	2	no	—
821	C₄²	—	2	2	no	—
822	C₄²	—	2	2	no	—
823	C₄²	—	2	2	no	—
824	C₄²	—	2	2	no	—
825	C₄²	—	2	4	no	—
826	C₄²	—	2	2	no	—
827	C₄²	—	2	2	no	—
828	C₄²	—	2	4	no	—
829	C₄²	—	2	2	no	—
830	C₄²	—	4	2	no	—
831	C₄²	—	4	2	no	—
832	C₄²	—	4	1	no	—
833	C₁₁	#59962	1	1	yes	characteristic, direct product factor, Sylow
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	C₂×C₁₁×#41	1	4	yes	—
848	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
849	D₄	—	2	8	no	—
850	D₄	—	4	8	no	—
851	D₄	—	4	4	no	—
852	D₄	—	8	4	no	—
853	C₂×C₄	—	2	1	no	—
854	C₂×C₄	—	2	1	no	—
855	C₂×C₄	—	2	1	no	—
856	C₂×C₄	—	2	1	no	—
857	C₂×C₄	—	2	1	no	—
858	C₂×C₄	—	2	2	no	—
859	C₂×C₄	—	2	1	no	—
860	C₂×C₄	—	2	1	no	—
861	C₂×C₄	—	2	1	no	—
862	C₂×C₄	—	2	1	no	—
863	C₂×C₄	—	2	1	no	—
864	C₂×C₄	—	2	2	no	—
865	C₂×C₄	—	2	1	no	—
866	C₂×C₄	—	2	1	no	—
867	C₂×C₄	—	2	1	no	—
868	C₂×C₄	—	2	1	no	—
869	C₂×C₄	—	2	1	no	—
870	C₂×C₄	—	2	1	no	—
871	C₂×C₄	—	2	1	no	—
872	C₂×C₄	—	2	1	no	—
873	C₂×C₄	—	2	1	no	—
874	C₂×C₄	—	2	1	no	—
875	C₂×C₄	—	2	2	no	—
876	C₂×C₄	—	2	2	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	1	no	—
884	C₂×C₄	—	2	1	no	—
885	C₂×C₄	—	2	2	no	—
886	C₂×C₄	—	2	1	no	—
887	C₂×C₄	—	2	2	no	—
888	C₂×C₄	—	2	1	no	—
889	C₂×C₄	—	2	2	no	—
890	C₂×C₄	—	2	2	no	—
891	C₂×C₄	—	2	1	no	—
892	C₂×C₄	—	2	2	no	—
893	C₂×C₄	—	2	1	no	—
894	C₂×C₄	—	2	1	no	—
895	C₂×C₄	—	2	1	no	—
896	C₂×C₄	—	2	1	no	—
897	C₂×C₄	—	2	2	no	—
898	C₂×C₄	—	2	1	no	—
899	C₂×C₄	—	2	1	no	—
900	C₂×C₄	—	2	2	no	—
901	C₂×C₄	—	2	2	no	—
902	C₂×C₄	—	2	1	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	—	4	8	no	—
908	C₂×C₄	—	4	8	no	—
909	C₂×C₄	—	4	8	no	—
910	C₂×C₄	—	8	4	no	—
911	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
912	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
913	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
914	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
915	C₂×C₄	C₂×C₁₁×#41	1	2	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	2	yes	—
919	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
920	C₂²	—	2	4	no	—
921	C₂²	—	2	4	no	—
922	C₂²	—	2	4	no	—
923	C₂²	—	4	2	no	—
924	C₂²	—	4	2	no	—
925	C₂²	—	4	2	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	C₂²×C₁₁×#41	1	1	yes	characteristic
935	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
936	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
937	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
938	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
939	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
940	C₂²	C₁₁×#585	1	1	yes	characteristic
941	C₄	—	2	2	no	—
942	C₄	—	2	2	no	—
943	C₄	—	2	2	no	—
944	C₄	—	2	2	no	—
945	C₄	—	2	2	no	—
946	C₄	—	2	4	no	—
947	C₄	—	4	2	no	—
948	C₄	—	4	1	no	—
949	C₄	—	4	1	no	—
950	C₄	—	4	1	no	—
951	C₄	—	4	1	no	—
952	C₄	—	4	2	no	—
953	C₄	—	4	2	no	—
954	C₄	—	4	1	no	—
955	C₄	—	4	1	no	—
956	C₄	—	4	1	no	—
957	C₄	—	4	1	no	—
958	C₄	—	4	1	no	—
959	C₄	—	4	2	no	—
960	C₄	—	4	2	no	—
961	C₄	C₁₁×#552	1	4	yes	—
962	C₂	—	4	4	no	—
963	C₂	—	8	2	no	—
964	C₂	C₂×C₁₁×#552	1	1	yes	characteristic
965	C₂	C₁₁×#3481	1	1	yes	characteristic
966	C₂	C₁₁×#3483	1	1	yes	characteristic
967	C₂	C₁₁×#3507	1	1	yes	characteristic
968	C₂	C₁₁×#3513	1	1	yes	characteristic
969	C₂	C₁₁×#3513	1	1	yes	characteristic
970	C₂	C₁₁×#3548	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂×C₁₁×#127	C₂²
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×#2781	C₂	semidirect
2. C₁₁×#2694	C₂	semidirect
3. C₁₁×#2609	C₂	semidirect
4. C₁₁×#2601	C₂	semidirect
5. C₁₁×#2553	C₂	semidirect
6. C₁₁×#2513	C₂	semidirect
7. C₁₁×#2512	C₂	semidirect
8. C₁₁×#2508	C₂	semidirect
9. C₁₁×#2507	C₂	semidirect
10. C₁₁×#2498	C₂	semidirect
11. C₁₁×#2485	C₂	semidirect
12. C₁₁×#2454	C₂	semidirect
13. C₁₁×#2454	C₂	semidirect
16. C₁₁×#2370	C₂	semidirect
18. C₁₁×#2359	C₂	semidirect
19. C₁₁×#2354	C₂	semidirect
20. C₁₁×#2349	C₂	semidirect
21. C₄×C₁₁×#125	C₂	semidirect
22. C₁₁×#2293	C₂	semidirect
23. C₁₁×#2293	C₂	semidirect
236. #59962	C₁₁	direct (N × H)
349. #2781	C₂×C₁₁	semidirect
350. #2694	C₂×C₁₁	semidirect
351. #2609	C₂×C₁₁	semidirect
352. #2601	C₂×C₁₁	semidirect
353. #2553	C₂×C₁₁	semidirect
354. #2513	C₂×C₁₁	semidirect
355. #2512	C₂×C₁₁	semidirect
356. #2508	C₂×C₁₁	semidirect
357. #2507	C₂×C₁₁	semidirect
358. #2498	C₂×C₁₁	semidirect
359. #2485	C₂×C₁₁	semidirect
360. #2454	C₂×C₁₁	semidirect
361. #2454	C₂×C₁₁	semidirect
364. #2370	C₂×C₁₁	semidirect
366. #2359	C₂×C₁₁	semidirect
367. #2354	C₂×C₁₁	semidirect
368. #2349	C₂×C₁₁	semidirect
369. C₄×#125	C₂×C₁₁	semidirect
370. #2293	C₂×C₁₁	semidirect
371. #2293	C₂×C₁₁	semidirect
833. C₁₁	#59962	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×#2781	2
C₁₁×#2694	2
C₁₁×#2609	2
C₁₁×#2601	2
C₁₁×#2553	2
C₁₁×#2513	2
C₁₁×#2512	2
C₁₁×#2508	2
C₁₁×#2507	2
C₁₁×#2498	2
C₁₁×#2485	2
C₁₁×#2454	2
C₁₁×#2445	2
C₁₁×#2370	2
C₁₁×#2366	2
C₁₁×#2359	2
C₁₁×#2354	2
C₁₁×#2349	2
C₄×C₁₁×#125	2
C₁₁×#2293	2
#59962	11

Subgroups — C11×#59962 #14637155

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#59962 #14637155