Subgroups — C₁₁×#34471 #14611664

Order 2816.

3112 conjugacy classes of subgroups.

The subgroup lattice has 1224 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₄²×C₁₁	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2377	C₂	1	2	yes	maximal, complemented
3	C₁₁×#2375	C₂	1	2	yes	maximal, complemented
4	C₁₁×#2366	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#2363	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#2361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#2358	C₂	1	2	yes	maximal, complemented
8	C₁₁×#2357	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2352	C₂	1	1	yes	maximal, characteristic, complemented
10	D₄×C₁₁×C₂²⋊C₄	C₂	1	2	yes	maximal, complemented
11	D₄×C₁₁×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×C₁₁×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#2333	C₂	1	2	yes	maximal, complemented
14	C₁₁×#2328	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2324	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2321	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2321	C₂	1	2	yes	maximal, complemented
18	C₁₁×#2319	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₁×#2309	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₁×#2308	C₂	1	2	yes	maximal, complemented
21	C₄×C₁₁×#121	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₁×#390	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2290	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic
25	C₂³×D₄×C₁₁	C₂²	1	2	yes	—
26	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic
27	D₄²×C₁₁	C₄	1	16	yes	complemented
28	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic
29	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic
30	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic
31	C₂×C₁₁×#121	C₂²	1	2	yes	—
32	C₂×C₁₁×#120	C₂²	1	2	yes	—
33	C₂×C₁₁×#120	C₂²	1	2	yes	—
34	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
35	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	complemented
37	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	complemented
39	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	complemented
40	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
46	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
47	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
48	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
49	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
50	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic, complemented
51	C₁₁×#390	C₂²	1	1	yes	characteristic
52	C₁₁×#390	C₂²	1	1	yes	characteristic
53	C₁₁×#390	C₂²	1	1	yes	characteristic
54	C₁₁×#390	C₂²	1	1	yes	characteristic
55	C₁₁×#390	C₂²	1	2	yes	complemented
56	C₁₁×#390	C₂²	1	1	yes	characteristic, complemented
57	C₁₁×#390	C₂²	1	1	yes	characteristic, complemented
58	C₁₁×#390	C₂²	1	2	yes	complemented
59	C₁₁×#390	C₂²	1	1	yes	characteristic, complemented
60	C₁₁×#390	C₂²	1	2	yes	complemented
61	C₁₁×#390	C₂²	1	2	yes	complemented
62	C₁₁×#390	C₂²	1	1	yes	characteristic, complemented
63	C₁₁×#390	C₂²	1	2	yes	complemented
64	C₁₁×#390	C₂²	1	2	yes	complemented
65	C₁₁×#390	C₂²	1	2	yes	complemented
66	C₁₁×#389	C₂²	1	1	yes	characteristic, complemented
67	C₁₁×#389	C₂²	1	1	yes	characteristic, complemented
68	C₁₁×#388	C₂²	1	1	yes	characteristic, complemented
69	C₁₁×#388	C₂²	1	1	yes	characteristic, 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×#387	C₂²	1	1	yes	characteristic, complemented
80	C₁₁×#387	C₂²	1	1	yes	characteristic, complemented
81	C₁₁×#387	C₂²	1	2	yes	complemented
82	C₁₁×#386	C₂²	1	1	yes	characteristic
83	C₁₁×#386	C₂²	1	1	yes	characteristic
84	C₁₁×#386	C₂²	1	2	yes	—
85	C₁₁×#386	C₂²	1	2	yes	complemented
86	C₁₁×#386	C₂²	1	2	yes	complemented
87	C₁₁×#386	C₂²	1	2	yes	complemented
88	C₁₁×#386	C₂²	1	2	yes	complemented
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×#386	C₂²	1	2	yes	complemented
93	C₁₁×#386	C₂²	1	2	yes	complemented
94	C₁₁×#386	C₂²	1	2	yes	complemented
95	C₁₁×#386	C₂²	1	2	yes	complemented
96	C₁₁×#386	C₂²	1	2	yes	complemented
97	C₁₁×#386	C₂²	1	2	yes	complemented
98	C₁₁×#386	C₂²	1	2	yes	complemented
99	C₁₁×#385	C₂²	1	1	yes	characteristic, complemented
100	C₁₁×#385	C₂²	1	1	yes	characteristic, complemented
101	C₁₁×#385	C₂²	1	2	yes	complemented
102	C₁₁×#385	C₂²	1	2	yes	complemented
103	C₁₁×#382	C₂²	1	1	yes	characteristic, complemented
104	C₁₁×#381	C₂²	1	2	yes	complemented
105	C₁₁×#381	C₂²	1	2	yes	complemented
106	C₁₁×#380	C₂²	1	1	yes	characteristic, complemented
107	C₁₁×#380	C₂²	1	2	yes	complemented
108	C₁₁×#380	C₂²	1	1	yes	characteristic, complemented
109	C₁₁×#379	C₂²	1	2	yes	complemented
110	C₁₁×#379	C₂²	1	2	yes	complemented
111	C₁₁×#379	C₂²	1	2	yes	complemented
112	C₁₁×#379	C₂²	1	2	yes	complemented
113	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
114	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
116	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
117	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
120	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
121	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
122	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
123	C₁₁×#376	C₂²	1	1	yes	characteristic, complemented
124	C₂⁵×C₁₁	C₂³	1	2	yes	—
125	C₂⁵×C₁₁	C₂³	1	2	yes	—
126	C₂²×D₄×C₁₁	—	4	2	no	—
127	C₂²×D₄×C₁₁	—	4	2	no	—
128	C₂²×D₄×C₁₁	—	4	2	no	—
129	C₂²×D₄×C₁₁	—	4	2	no	—
130	C₂²×D₄×C₁₁	—	4	4	no	—
131	C₂²×D₄×C₁₁	—	4	4	no	—
132	C₂²×D₄×C₁₁	C₂×C₄	1	8	yes	complemented
133	C₂²×D₄×C₁₁	C₂×C₄	1	8	yes	complemented
134	C₂²×D₄×C₁₁	C₂×C₄	1	16	yes	complemented
135	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
136	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
138	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
142	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
143	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
144	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
145	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
146	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
150	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
151	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
152	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
153	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
154	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
155	C₁₁×#127	C₂×C₄	1	8	yes	complemented
156	C₁₁×#121	C₂×C₄	1	8	yes	complemented
157	C₁₁×#121	C₂×C₄	1	8	yes	complemented
158	C₁₁×#121	C₂×C₄	1	16	yes	complemented
159	C₁₁×#120	C₂×C₄	1	16	yes	complemented
160	C₁₁×#120	C₂×C₄	1	16	yes	complemented
161	C₄×D₄×C₁₁	—	4	2	no	—
162	C₄×D₄×C₁₁	—	4	2	no	—
163	C₄×D₄×C₁₁	—	4	2	no	—
164	C₄×D₄×C₁₁	—	4	2	no	—
165	C₄×D₄×C₁₁	—	4	4	no	—
166	C₄×D₄×C₁₁	—	4	4	no	—
167	C₄×D₄×C₁₁	—	4	4	no	—
168	C₄×D₄×C₁₁	C₂×C₄	1	8	yes	complemented
169	C₄×D₄×C₁₁	C₂×C₄	1	8	yes	complemented
170	C₁₁×#117	—	4	2	no	—
171	C₁₁×#117	—	4	2	no	—
172	C₂×C₁₁×C₄⋊C₄	—	4	2	no	—
173	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
174	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
175	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
176	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
177	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
178	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
179	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
185	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
186	C₂×C₁₁×C₂²⋊C₄	—	4	4	no	—
187	C₂×C₁₁×C₂²⋊C₄	—	4	4	no	—
188	C₂×C₁₁×C₂²⋊C₄	—	4	4	no	—
189	C₂×C₁₁×C₂²⋊C₄	—	4	4	no	—
190	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
191	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
197	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
204	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
212	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
213	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
218	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₂×C₄²×C₁₁	—	4	2	no	—
225	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
232	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
233	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
234	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
235	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
236	C₁₁×#95	C₂³	1	1	yes	characteristic
237	C₁₁×#95	C₂³	1	1	yes	characteristic
238	C₁₁×#95	C₂³	1	1	yes	characteristic
239	C₁₁×#95	C₂³	1	1	yes	characteristic
240	C₁₁×#95	C₂³	1	1	yes	characteristic
241	C₁₁×#95	C₂³	1	1	yes	characteristic
242	C₁₁×#95	C₂³	1	2	yes	—
243	C₁₁×#95	C₂³	1	2	yes	—
244	C₁₁×#95	C₂³	1	2	yes	—
245	C₁₁×#95	C₂³	1	2	yes	—
246	C₁₁×#95	C₂³	1	2	yes	—
247	C₁₁×#95	C₂³	1	2	yes	—
248	C₁₁×#95	C₂³	1	1	yes	characteristic
249	C₁₁×#95	C₂³	1	1	yes	characteristic
250	C₁₁×#95	C₂³	1	1	yes	characteristic
251	C₁₁×#95	C₂³	1	2	yes	—
252	C₁₁×#95	C₂³	1	1	yes	characteristic
253	C₁₁×#95	C₂³	1	2	yes	—
254	C₁₁×#95	C₂³	1	2	yes	—
255	#34471	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
256	C₂⁴×C₁₁	—	2	4	no	—
257	C₂⁴×C₁₁	—	2	4	no	—
258	C₂⁴×C₁₁	—	4	2	no	—
259	C₂⁴×C₁₁	—	4	2	no	—
260	C₂⁴×C₁₁	—	4	2	no	—
261	C₂⁴×C₁₁	—	4	2	no	—
262	C₂⁴×C₁₁	—	4	2	no	—
263	C₂⁴×C₁₁	—	4	2	no	—
264	C₂⁴×C₁₁	—	4	2	no	—
265	C₂⁴×C₁₁	—	4	2	no	—
266	C₂⁴×C₁₁	—	4	2	no	—
267	C₂⁴×C₁₁	—	4	2	no	—
268	C₂⁴×C₁₁	C₂²×C₄	1	8	yes	—
269	C₂⁴×C₁₁	C₂²×C₄	1	8	yes	—
270	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
271	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
272	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
273	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
274	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
275	C₂×D₄×C₁₁	—	2	4	no	—
276	C₂×D₄×C₁₁	—	2	4	no	—
277	C₂×D₄×C₁₁	—	2	2	no	—
278	C₂×D₄×C₁₁	—	2	2	no	—
279	C₂×D₄×C₁₁	—	2	2	no	—
280	C₂×D₄×C₁₁	—	2	2	no	—
281	C₂×D₄×C₁₁	—	2	2	no	—
282	C₂×D₄×C₁₁	—	2	2	no	—
283	C₂×D₄×C₁₁	—	2	2	no	—
284	C₂×D₄×C₁₁	—	2	2	no	—
285	C₂×D₄×C₁₁	—	4	16	no	—
286	C₂×D₄×C₁₁	—	4	16	no	—
287	C₂×D₄×C₁₁	—	4	2	no	—
288	C₂×D₄×C₁₁	—	4	2	no	—
289	C₂×D₄×C₁₁	—	4	2	no	—
290	C₂×D₄×C₁₁	—	4	2	no	—
291	C₂×D₄×C₁₁	—	4	2	no	—
292	C₂×D₄×C₁₁	—	4	2	no	—
293	C₂×D₄×C₁₁	—	4	2	no	—
294	C₂×D₄×C₁₁	—	4	2	no	—
295	C₂×D₄×C₁₁	—	4	2	no	—
296	C₂×D₄×C₁₁	—	4	2	no	—
297	C₂×D₄×C₁₁	—	4	32	no	—
298	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
299	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
300	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
301	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
302	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
303	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
304	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
305	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
306	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
307	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
308	C₂²×C₄×C₁₁	—	2	2	no	—
309	C₂²×C₄×C₁₁	—	2	2	no	—
310	C₂²×C₄×C₁₁	—	2	2	no	—
311	C₂²×C₄×C₁₁	—	2	2	no	—
312	C₂²×C₄×C₁₁	—	2	2	no	—
313	C₂²×C₄×C₁₁	—	2	2	no	—
314	C₂²×C₄×C₁₁	—	2	4	no	—
315	C₂²×C₄×C₁₁	—	2	2	no	—
316	C₂²×C₄×C₁₁	—	2	4	no	—
317	C₂²×C₄×C₁₁	—	4	1	no	—
318	C₂²×C₄×C₁₁	—	4	1	no	—
319	C₂²×C₄×C₁₁	—	4	1	no	—
320	C₂²×C₄×C₁₁	—	4	2	no	—
321	C₂²×C₄×C₁₁	—	4	2	no	—
322	C₂²×C₄×C₁₁	—	4	2	no	—
323	C₂²×C₄×C₁₁	—	4	2	no	—
324	C₂²×C₄×C₁₁	—	4	2	no	—
325	C₂²×C₄×C₁₁	—	4	2	no	—
326	C₂²×C₄×C₁₁	—	4	2	no	—
327	C₂²×C₄×C₁₁	—	4	2	no	—
328	C₂²×C₄×C₁₁	—	4	2	no	—
329	C₂²×C₄×C₁₁	—	4	2	no	—
330	C₂²×C₄×C₁₁	—	4	2	no	—
331	C₂²×C₄×C₁₁	—	4	2	no	—
332	C₂²×C₄×C₁₁	—	4	2	no	—
333	C₂²×C₄×C₁₁	—	4	2	no	—
334	C₂²×C₄×C₁₁	—	4	2	no	—
335	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
336	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
337	C₂²×C₄×C₁₁	C₂²×C₄	1	8	yes	—
338	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
339	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
340	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
341	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
342	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
345	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
346	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
349	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
354	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
356	C₁₁×C₄⋊C₄	—	2	2	no	—
357	C₁₁×C₄⋊C₄	—	2	2	no	—
358	C₁₁×C₄⋊C₄	—	2	2	no	—
359	C₁₁×C₄⋊C₄	—	2	2	no	—
360	C₁₁×C₄⋊C₄	—	2	2	no	—
361	C₁₁×C₄⋊C₄	—	4	2	no	—
362	C₁₁×C₄⋊C₄	—	4	1	no	—
363	C₁₁×C₄⋊C₄	—	4	1	no	—
364	C₁₁×C₄⋊C₄	—	4	1	no	—
365	C₁₁×C₄⋊C₄	—	4	2	no	—
366	C₁₁×C₄⋊C₄	—	4	2	no	—
367	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
368	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
369	C₁₁×C₂²⋊C₄	—	2	2	no	—
370	C₁₁×C₂²⋊C₄	—	2	4	no	—
371	C₁₁×C₂²⋊C₄	—	2	2	no	—
372	C₁₁×C₂²⋊C₄	—	2	2	no	—
373	C₁₁×C₂²⋊C₄	—	2	4	no	—
374	C₁₁×C₂²⋊C₄	—	2	4	no	—
375	C₁₁×C₂²⋊C₄	—	4	2	no	—
376	C₁₁×C₂²⋊C₄	—	4	2	no	—
377	C₁₁×C₂²⋊C₄	—	4	2	no	—
378	C₁₁×C₂²⋊C₄	—	4	2	no	—
379	C₁₁×C₂²⋊C₄	—	4	2	no	—
380	C₁₁×C₂²⋊C₄	—	4	2	no	—
381	C₁₁×C₂²⋊C₄	—	4	2	no	—
382	C₁₁×C₂²⋊C₄	—	4	2	no	—
383	C₁₁×C₂²⋊C₄	—	4	2	no	—
384	C₁₁×C₂²⋊C₄	—	4	2	no	—
385	C₁₁×C₂²⋊C₄	—	4	2	no	—
386	C₁₁×C₂²⋊C₄	—	4	2	no	—
387	C₁₁×C₂²⋊C₄	—	4	1	no	—
388	C₁₁×C₂²⋊C₄	—	4	1	no	—
389	C₁₁×C₂²⋊C₄	—	4	1	no	—
390	C₁₁×C₂²⋊C₄	—	4	2	no	—
391	C₁₁×C₂²⋊C₄	—	4	2	no	—
392	C₁₁×C₂²⋊C₄	—	4	2	no	—
393	C₁₁×C₂²⋊C₄	—	4	2	no	—
394	C₁₁×C₂²⋊C₄	—	4	2	no	—
395	C₁₁×C₂²⋊C₄	—	4	2	no	—
396	C₁₁×C₂²⋊C₄	—	4	2	no	—
397	C₁₁×C₂²⋊C₄	—	4	2	no	—
398	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
399	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
400	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
401	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
402	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
403	C₄²×C₁₁	—	2	2	no	—
404	C₄²×C₁₁	—	2	2	no	—
405	C₄²×C₁₁	—	2	2	no	—
406	C₄²×C₁₁	—	2	2	no	—
407	C₄²×C₁₁	—	4	1	no	—
408	C₄²×C₁₁	—	4	1	no	—
409	C₄²×C₁₁	—	4	2	no	—
410	C₄²×C₁₁	—	4	2	no	—
411	C₄²×C₁₁	—	4	2	no	—
412	C₄²×C₁₁	—	4	2	no	—
413	C₄²×C₁₁	C₂²×C₄	1	4	yes	—
414	C₂×D₄²	C₂×C₁₁	1	1	yes	characteristic
415	#2377	C₂×C₁₁	1	2	yes	complemented
416	#2375	C₂×C₁₁	1	2	yes	complemented
417	#2366	C₂×C₁₁	1	1	yes	characteristic, complemented
418	#2363	C₂×C₁₁	1	1	yes	characteristic, complemented
419	#2361	C₂×C₁₁	1	1	yes	characteristic, complemented
420	#2358	C₂×C₁₁	1	2	yes	complemented
421	#2357	C₂×C₁₁	1	1	yes	characteristic, complemented
422	#2352	C₂×C₁₁	1	1	yes	characteristic, complemented
423	D₄×C₂²⋊C₄	C₂×C₁₁	1	2	yes	complemented
424	D₄×C₂²⋊C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
425	D₄×C₂²⋊C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
426	#2333	C₂×C₁₁	1	2	yes	complemented
427	#2328	C₂×C₁₁	1	1	yes	characteristic, complemented
428	#2324	C₂×C₁₁	1	1	yes	characteristic, complemented
429	#2321	C₂×C₁₁	1	2	yes	complemented
430	#2321	C₂×C₁₁	1	2	yes	complemented
431	#2319	C₂×C₁₁	1	1	yes	characteristic, complemented
432	#2309	C₂×C₁₁	1	1	yes	characteristic, complemented
433	#2308	C₂×C₁₁	1	2	yes	complemented
434	C₄×#121	C₂×C₁₁	1	1	yes	characteristic, complemented
435	C₂×#390	C₂×C₁₁	1	1	yes	characteristic, complemented
436	#2290	C₂×C₁₁	1	1	yes	characteristic, complemented
437	C₂³×C₁₁	—	2	1	no	—
438	C₂³×C₁₁	—	2	1	no	—
439	C₂³×C₁₁	—	2	1	no	—
440	C₂³×C₁₁	—	2	1	no	—
441	C₂³×C₁₁	—	2	1	no	—
442	C₂³×C₁₁	—	2	2	no	—
443	C₂³×C₁₁	—	2	2	no	—
444	C₂³×C₁₁	—	2	1	no	—
445	C₂³×C₁₁	—	2	1	no	—
446	C₂³×C₁₁	—	2	2	no	—
447	C₂³×C₁₁	—	2	2	no	—
448	C₂³×C₁₁	—	2	2	no	—
449	C₂³×C₁₁	—	2	2	no	—
450	C₂³×C₁₁	—	2	2	no	—
451	C₂³×C₁₁	—	2	2	no	—
452	C₂³×C₁₁	—	2	2	no	—
453	C₂³×C₁₁	—	2	2	no	—
454	C₂³×C₁₁	—	2	2	no	—
455	C₂³×C₁₁	—	2	2	no	—
456	C₂³×C₁₁	—	2	2	no	—
457	C₂³×C₁₁	—	2	2	no	—
458	C₂³×C₁₁	—	2	1	no	—
459	C₂³×C₁₁	—	2	1	no	—
460	C₂³×C₁₁	—	2	2	no	—
461	C₂³×C₁₁	—	2	2	no	—
462	C₂³×C₁₁	—	2	1	no	—
463	C₂³×C₁₁	—	2	2	no	—
464	C₂³×C₁₁	—	2	2	no	—
465	C₂³×C₁₁	—	2	16	no	—
466	C₂³×C₁₁	—	4	8	no	—
467	C₂³×C₁₁	—	4	8	no	—
468	C₂³×C₁₁	—	4	8	no	—
469	C₂³×C₁₁	—	4	8	no	—
470	C₂³×C₁₁	—	4	8	no	—
471	C₂³×C₁₁	—	8	4	no	—
472	C₂³×C₁₁	—	8	4	no	—
473	C₂³×C₁₁	—	8	4	no	—
474	C₂³×C₁₁	—	8	4	no	—
475	C₂³×C₁₁	—	8	4	no	—
476	C₂³×C₁₁	—	8	4	no	—
477	C₂³×C₁₁	—	8	4	no	—
478	C₂³×C₁₁	—	8	4	no	—
479	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
480	C₂³×C₁₁	C₂³×C₄	1	4	yes	—
481	C₂³×C₁₁	C₂³×C₄	1	4	yes	—
482	C₂³×C₁₁	C₂³×C₄	1	4	yes	—
483	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
484	C₂³×C₁₁	H(5,𝔽₂)	1	2	yes	—
485	C₂³×C₁₁	H(5,𝔽₂)	1	2	yes	—
486	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
487	D₄×C₁₁	—	2	8	no	—
488	D₄×C₁₁	—	2	16	no	—
489	D₄×C₁₁	—	2	8	no	—
490	D₄×C₁₁	—	2	8	no	—
491	D₄×C₁₁	—	2	8	no	—
492	D₄×C₁₁	—	4	8	no	—
493	D₄×C₁₁	—	4	8	no	—
494	D₄×C₁₁	—	4	8	no	—
495	D₄×C₁₁	—	4	8	no	—
496	D₄×C₁₁	—	4	8	no	—
497	C₂×C₄×C₁₁	—	2	1	no	—
498	C₂×C₄×C₁₁	—	2	1	no	—
499	C₂×C₄×C₁₁	—	2	1	no	—
500	C₂×C₄×C₁₁	—	2	1	no	—
501	C₂×C₄×C₁₁	—	2	1	no	—
502	C₂×C₄×C₁₁	—	2	2	no	—
503	C₂×C₄×C₁₁	—	2	2	no	—
504	C₂×C₄×C₁₁	—	2	1	no	—
505	C₂×C₄×C₁₁	—	2	1	no	—
506	C₂×C₄×C₁₁	—	2	1	no	—
507	C₂×C₄×C₁₁	—	2	1	no	—
508	C₂×C₄×C₁₁	—	2	1	no	—
509	C₂×C₄×C₁₁	—	2	8	no	—
510	C₂×C₄×C₁₁	—	2	8	no	—
511	C₂×C₄×C₁₁	—	2	1	no	—
512	C₂×C₄×C₁₁	—	2	1	no	—
513	C₂×C₄×C₁₁	—	2	1	no	—
514	C₂×C₄×C₁₁	—	2	1	no	—
515	C₂×C₄×C₁₁	—	2	1	no	—
516	C₂×C₄×C₁₁	—	2	1	no	—
517	C₂×C₄×C₁₁	—	2	1	no	—
518	C₂×C₄×C₁₁	—	2	1	no	—
519	C₂×C₄×C₁₁	—	2	2	no	—
520	C₂×C₄×C₁₁	—	2	2	no	—
521	C₂×C₄×C₁₁	—	2	2	no	—
522	C₂×C₄×C₁₁	—	2	2	no	—
523	C₂×C₄×C₁₁	—	2	2	no	—
524	C₂×C₄×C₁₁	—	2	2	no	—
525	C₂×C₄×C₁₁	—	2	1	no	—
526	C₂×C₄×C₁₁	—	2	1	no	—
527	C₂×C₄×C₁₁	—	2	2	no	—
528	C₂×C₄×C₁₁	—	2	1	no	—
529	C₂×C₄×C₁₁	—	2	2	no	—
530	C₂×C₄×C₁₁	—	2	1	no	—
531	C₂×C₄×C₁₁	—	2	1	no	—
532	C₂×C₄×C₁₁	—	2	1	no	—
533	C₂×C₄×C₁₁	—	2	1	no	—
534	C₂×C₄×C₁₁	—	2	2	no	—
535	C₂×C₄×C₁₁	—	2	2	no	—
536	C₂×C₄×C₁₁	—	2	1	no	—
537	C₂×C₄×C₁₁	—	2	1	no	—
538	C₂×C₄×C₁₁	—	2	2	no	—
539	C₂×C₄×C₁₁	—	2	1	no	—
540	C₂×C₄×C₁₁	—	2	1	no	—
541	C₂×C₄×C₁₁	—	2	2	no	—
542	C₂×C₄×C₁₁	—	2	1	no	—
543	C₂×C₄×C₁₁	—	2	1	no	—
544	C₂×C₄×C₁₁	—	4	8	no	—
545	C₂×C₄×C₁₁	—	4	4	no	—
546	C₂×C₄×C₁₁	—	4	4	no	—
547	C₂×C₄×C₁₁	—	8	4	no	—
548	C₂×C₄×C₁₁	—	8	4	no	—
549	C₂×C₄×C₁₁	—	8	4	no	—
550	C₂×C₄×C₁₁	—	8	4	no	—
551	C₂×C₄×C₁₁	—	8	4	no	—
552	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
553	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
554	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
555	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
556	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
557	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
558	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
559	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
560	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
561	C₂³×D₄	C₂²×C₁₁	1	2	yes	—
562	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic
563	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic
564	D₄²	C₄×C₁₁	1	16	yes	complemented
565	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
566	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
567	C₂×#121	C₂²×C₁₁	1	2	yes	—
568	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
569	C₂×#120	C₂²×C₁₁	1	2	yes	—
570	C₂×#120	C₂²×C₁₁	1	2	yes	—
571	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
572	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
573	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	complemented
574	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	complemented
575	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
576	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
577	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
578	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	complemented
579	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
580	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic, complemented
581	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic, complemented
582	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
583	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
584	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
585	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
586	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
587	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic, complemented
588	#390	C₂²×C₁₁	1	1	yes	characteristic
589	#390	C₂²×C₁₁	1	1	yes	characteristic
590	#390	C₂²×C₁₁	1	1	yes	characteristic
591	#390	C₂²×C₁₁	1	1	yes	characteristic
592	#390	C₂²×C₁₁	1	2	yes	complemented
593	#390	C₂²×C₁₁	1	1	yes	characteristic, complemented
594	#390	C₂²×C₁₁	1	2	yes	complemented
595	#390	C₂²×C₁₁	1	1	yes	characteristic, complemented
596	#390	C₂²×C₁₁	1	2	yes	complemented
597	#390	C₂²×C₁₁	1	2	yes	complemented
598	#390	C₂²×C₁₁	1	2	yes	complemented
599	#390	C₂²×C₁₁	1	1	yes	characteristic, complemented
600	#390	C₂²×C₁₁	1	2	yes	complemented
601	#390	C₂²×C₁₁	1	1	yes	characteristic, complemented
602	#390	C₂²×C₁₁	1	2	yes	complemented
603	#389	C₂²×C₁₁	1	1	yes	characteristic, complemented
604	#389	C₂²×C₁₁	1	1	yes	characteristic, complemented
605	#388	C₂²×C₁₁	1	2	yes	complemented
606	#388	C₂²×C₁₁	1	2	yes	complemented
607	#388	C₂²×C₁₁	1	1	yes	characteristic, complemented
608	#388	C₂²×C₁₁	1	2	yes	complemented
609	#388	C₂²×C₁₁	1	2	yes	complemented
610	#388	C₂²×C₁₁	1	2	yes	complemented
611	#388	C₂²×C₁₁	1	2	yes	complemented
612	#388	C₂²×C₁₁	1	2	yes	complemented
613	#388	C₂²×C₁₁	1	2	yes	complemented
614	#388	C₂²×C₁₁	1	1	yes	characteristic, complemented
615	#388	C₂²×C₁₁	1	2	yes	complemented
616	#387	C₂²×C₁₁	1	1	yes	characteristic, complemented
617	#387	C₂²×C₁₁	1	2	yes	complemented
618	#387	C₂²×C₁₁	1	1	yes	characteristic, complemented
619	#386	C₂²×C₁₁	1	1	yes	characteristic
620	#386	C₂²×C₁₁	1	2	yes	—
621	#386	C₂²×C₁₁	1	1	yes	characteristic
622	#386	C₂²×C₁₁	1	2	yes	complemented
623	#386	C₂²×C₁₁	1	2	yes	complemented
624	#386	C₂²×C₁₁	1	2	yes	complemented
625	#386	C₂²×C₁₁	1	2	yes	complemented
626	#386	C₂²×C₁₁	1	2	yes	complemented
627	#386	C₂²×C₁₁	1	2	yes	complemented
628	#386	C₂²×C₁₁	1	2	yes	complemented
629	#386	C₂²×C₁₁	1	2	yes	complemented
630	#386	C₂²×C₁₁	1	2	yes	complemented
631	#386	C₂²×C₁₁	1	2	yes	complemented
632	#386	C₂²×C₁₁	1	2	yes	complemented
633	#386	C₂²×C₁₁	1	2	yes	complemented
634	#386	C₂²×C₁₁	1	2	yes	complemented
635	#386	C₂²×C₁₁	1	2	yes	complemented
636	#385	C₂²×C₁₁	1	1	yes	characteristic, complemented
637	#385	C₂²×C₁₁	1	2	yes	complemented
638	#385	C₂²×C₁₁	1	2	yes	complemented
639	#385	C₂²×C₁₁	1	1	yes	characteristic, complemented
640	#382	C₂²×C₁₁	1	1	yes	characteristic, complemented
641	#381	C₂²×C₁₁	1	2	yes	complemented
642	#381	C₂²×C₁₁	1	2	yes	complemented
643	#380	C₂²×C₁₁	1	2	yes	complemented
644	#380	C₂²×C₁₁	1	1	yes	characteristic, complemented
645	#380	C₂²×C₁₁	1	1	yes	characteristic, complemented
646	#379	C₂²×C₁₁	1	2	yes	complemented
647	#379	C₂²×C₁₁	1	2	yes	complemented
648	#379	C₂²×C₁₁	1	2	yes	complemented
649	#379	C₂²×C₁₁	1	2	yes	complemented
650	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
651	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
652	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
653	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
654	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
655	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
656	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
657	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
658	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
659	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
660	#376	C₂²×C₁₁	1	1	yes	characteristic, complemented
661	C₂²×C₁₁	—	2	2	no	—
662	C₂²×C₁₁	—	2	2	no	—
663	C₂²×C₁₁	—	2	2	no	—
664	C₂²×C₁₁	—	2	2	no	—
665	C₂²×C₁₁	—	2	2	no	—
666	C₂²×C₁₁	—	2	2	no	—
667	C₂²×C₁₁	—	2	2	no	—
668	C₂²×C₁₁	—	2	4	no	—
669	C₂²×C₁₁	—	2	2	no	—
670	C₂²×C₁₁	—	2	4	no	—
671	C₂²×C₁₁	—	2	4	no	—
672	C₂²×C₁₁	—	2	4	no	—
673	C₂²×C₁₁	—	2	4	no	—
674	C₂²×C₁₁	—	2	4	no	—
675	C₂²×C₁₁	—	2	4	no	—
676	C₂²×C₁₁	—	2	4	no	—
677	C₂²×C₁₁	—	2	2	no	—
678	C₂²×C₁₁	—	2	4	no	—
679	C₂²×C₁₁	—	4	2	no	—
680	C₂²×C₁₁	—	4	2	no	—
681	C₂²×C₁₁	—	4	1	no	—
682	C₂²×C₁₁	—	4	2	no	—
683	C₂²×C₁₁	—	4	2	no	—
684	C₂²×C₁₁	—	4	2	no	—
685	C₂²×C₁₁	—	4	1	no	—
686	C₂²×C₁₁	—	4	2	no	—
687	C₂²×C₁₁	—	4	2	no	—
688	C₂²×C₁₁	—	4	2	no	—
689	C₂²×C₁₁	—	4	1	no	—
690	C₂²×C₁₁	—	4	2	no	—
691	C₂²×C₁₁	—	4	2	no	—
692	C₂²×C₁₁	—	4	2	no	—
693	C₂²×C₁₁	—	4	1	no	—
694	C₂²×C₁₁	—	4	2	no	—
695	C₂²×C₁₁	—	8	16	no	—
696	C₂²×C₁₁	—	8	16	no	—
697	C₂²×C₁₁	#518	1	4	yes	—
698	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
699	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
700	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
701	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
702	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
703	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
704	C₂²×C₁₁	#585	1	1	yes	characteristic
705	C₄×C₁₁	—	2	2	no	—
706	C₄×C₁₁	—	2	2	no	—
707	C₄×C₁₁	—	2	2	no	—
708	C₄×C₁₁	—	2	4	no	—
709	C₄×C₁₁	—	2	2	no	—
710	C₄×C₁₁	—	2	2	no	—
711	C₄×C₁₁	—	4	1	no	—
712	C₄×C₁₁	—	4	1	no	—
713	C₄×C₁₁	—	4	2	no	—
714	C₄×C₁₁	—	4	1	no	—
715	C₄×C₁₁	—	4	1	no	—
716	C₄×C₁₁	—	4	1	no	—
717	C₄×C₁₁	—	4	2	no	—
718	C₄×C₁₁	—	4	1	no	—
719	C₄×C₁₁	—	4	2	no	—
720	C₄×C₁₁	—	4	2	no	—
721	C₄×C₁₁	—	4	1	no	—
722	C₄×C₁₁	#518	1	4	yes	—
723	C₂⁵	C₂³×C₁₁	1	2	yes	—
724	C₂⁵	C₂³×C₁₁	1	2	yes	—
725	C₂²×D₄	—	4	2	no	—
726	C₂²×D₄	—	4	2	no	—
727	C₂²×D₄	—	4	2	no	—
728	C₂²×D₄	—	4	2	no	—
729	C₂²×D₄	—	4	4	no	—
730	C₂²×D₄	—	4	4	no	—
731	C₂²×D₄	C₂×C₄×C₁₁	1	8	yes	complemented
732	C₂²×D₄	C₂×C₄×C₁₁	1	8	yes	complemented
733	C₂²×D₄	C₂×C₄×C₁₁	1	16	yes	complemented
734	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
735	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
736	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
737	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
738	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
739	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
740	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
741	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
742	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
743	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
744	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
745	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
746	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
747	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
748	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
749	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
750	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
751	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
752	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
753	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
754	#127	C₂×C₄×C₁₁	1	8	yes	complemented
755	#121	C₂×C₄×C₁₁	1	8	yes	complemented
756	#121	C₂×C₄×C₁₁	1	8	yes	complemented
757	#121	C₂×C₄×C₁₁	1	16	yes	complemented
758	#120	C₂×C₄×C₁₁	1	16	yes	complemented
759	#120	C₂×C₄×C₁₁	1	16	yes	complemented
760	C₄×D₄	—	4	2	no	—
761	C₄×D₄	—	4	2	no	—
762	C₄×D₄	—	4	2	no	—
763	C₄×D₄	—	4	2	no	—
764	C₄×D₄	—	4	4	no	—
765	C₄×D₄	—	4	4	no	—
766	C₄×D₄	—	4	4	no	—
767	C₄×D₄	C₂×C₄×C₁₁	1	8	yes	complemented
768	C₄×D₄	C₂×C₄×C₁₁	1	8	yes	complemented
769	#117	—	4	2	no	—
770	#117	—	4	2	no	—
771	C₂×C₄⋊C₄	—	4	2	no	—
772	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
773	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
774	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
775	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
776	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
778	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
779	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
780	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
781	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
782	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
783	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
785	C₂×C₂²⋊C₄	—	4	4	no	—
786	C₂×C₂²⋊C₄	—	4	4	no	—
787	C₂×C₂²⋊C₄	—	4	4	no	—
788	C₂×C₂²⋊C₄	—	4	4	no	—
789	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
790	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
791	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
792	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
793	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
794	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
795	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
797	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
798	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
799	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
800	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
801	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
802	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
803	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
804	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
805	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
806	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
807	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
808	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
809	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
810	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
811	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
812	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
813	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
814	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
815	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
817	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
818	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
819	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
820	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
821	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
822	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
823	C₂×C₄²	—	4	2	no	—
824	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
825	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
826	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
827	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
828	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
829	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
830	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
831	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
832	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
833	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
834	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
835	#95	C₂³×C₁₁	1	1	yes	characteristic
836	#95	C₂³×C₁₁	1	1	yes	characteristic
837	#95	C₂³×C₁₁	1	1	yes	characteristic
838	#95	C₂³×C₁₁	1	1	yes	characteristic
839	#95	C₂³×C₁₁	1	1	yes	characteristic
840	#95	C₂³×C₁₁	1	1	yes	characteristic
841	#95	C₂³×C₁₁	1	2	yes	—
842	#95	C₂³×C₁₁	1	2	yes	—
843	#95	C₂³×C₁₁	1	2	yes	—
844	#95	C₂³×C₁₁	1	2	yes	—
845	#95	C₂³×C₁₁	1	2	yes	—
846	#95	C₂³×C₁₁	1	2	yes	—
847	#95	C₂³×C₁₁	1	1	yes	characteristic
848	#95	C₂³×C₁₁	1	1	yes	characteristic
849	#95	C₂³×C₁₁	1	1	yes	characteristic
850	#95	C₂³×C₁₁	1	2	yes	—
851	#95	C₂³×C₁₁	1	1	yes	characteristic
852	#95	C₂³×C₁₁	1	2	yes	—
853	#95	C₂³×C₁₁	1	2	yes	—
854	C₂×C₁₁	—	2	4	no	—
855	C₂×C₁₁	—	4	4	no	—
856	C₂×C₁₁	—	4	4	no	—
857	C₂×C₁₁	—	4	2	no	—
858	C₂×C₁₁	—	4	4	no	—
859	C₂×C₁₁	C₂×#518	1	1	yes	characteristic
860	C₂×C₁₁	C₂×#518	1	1	yes	characteristic
861	C₂×C₁₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
862	C₂×C₁₁	#3537	1	1	yes	characteristic
863	C₂×C₁₁	#3542	1	1	yes	characteristic
864	C₂×C₁₁	#3543	1	1	yes	characteristic
865	C₂×C₁₁	#3558	1	1	yes	characteristic
866	C₂⁴	—	2	4	no	—
867	C₂⁴	—	2	4	no	—
868	C₂⁴	—	4	2	no	—
869	C₂⁴	—	4	2	no	—
870	C₂⁴	—	4	2	no	—
871	C₂⁴	—	4	2	no	—
872	C₂⁴	—	4	2	no	—
873	C₂⁴	—	4	2	no	—
874	C₂⁴	—	4	2	no	—
875	C₂⁴	—	4	2	no	—
876	C₂⁴	—	4	2	no	—
877	C₂⁴	—	4	2	no	—
878	C₂⁴	C₂²×C₄×C₁₁	1	8	yes	—
879	C₂⁴	C₂²×C₄×C₁₁	1	8	yes	—
880	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
881	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
882	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
883	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
884	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
885	C₂×D₄	—	2	4	no	—
886	C₂×D₄	—	2	4	no	—
887	C₂×D₄	—	2	2	no	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	2	no	—
892	C₂×D₄	—	2	2	no	—
893	C₂×D₄	—	2	2	no	—
894	C₂×D₄	—	2	2	no	—
895	C₂×D₄	—	4	16	no	—
896	C₂×D₄	—	4	16	no	—
897	C₂×D₄	—	4	2	no	—
898	C₂×D₄	—	4	2	no	—
899	C₂×D₄	—	4	2	no	—
900	C₂×D₄	—	4	2	no	—
901	C₂×D₄	—	4	2	no	—
902	C₂×D₄	—	4	2	no	—
903	C₂×D₄	—	4	2	no	—
904	C₂×D₄	—	4	2	no	—
905	C₂×D₄	—	4	2	no	—
906	C₂×D₄	—	4	2	no	—
907	C₂×D₄	—	4	32	no	—
908	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
909	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
910	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
911	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
912	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
913	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
914	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
915	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
916	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
917	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	4	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	4	no	—
927	C₂²×C₄	—	4	1	no	—
928	C₂²×C₄	—	4	1	no	—
929	C₂²×C₄	—	4	2	no	—
930	C₂²×C₄	—	4	2	no	—
931	C₂²×C₄	—	4	1	no	—
932	C₂²×C₄	—	4	2	no	—
933	C₂²×C₄	—	4	2	no	—
934	C₂²×C₄	—	4	2	no	—
935	C₂²×C₄	—	4	2	no	—
936	C₂²×C₄	—	4	2	no	—
937	C₂²×C₄	—	4	2	no	—
938	C₂²×C₄	—	4	2	no	—
939	C₂²×C₄	—	4	2	no	—
940	C₂²×C₄	—	4	2	no	—
941	C₂²×C₄	—	4	2	no	—
942	C₂²×C₄	—	4	2	no	—
943	C₂²×C₄	—	4	2	no	—
944	C₂²×C₄	—	4	2	no	—
945	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
946	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
947	C₂²×C₄	C₂²×C₄×C₁₁	1	8	yes	—
948	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
949	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
950	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
951	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
952	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
953	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
954	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
955	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
956	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
957	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
958	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
959	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
960	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
961	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
962	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
963	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
964	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
965	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	4	2	no	—
972	C₄⋊C₄	—	4	1	no	—
973	C₄⋊C₄	—	4	1	no	—
974	C₄⋊C₄	—	4	2	no	—
975	C₄⋊C₄	—	4	2	no	—
976	C₄⋊C₄	—	4	1	no	—
977	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
978	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	4	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	4	no	—
984	C₂²⋊C₄	—	2	4	no	—
985	C₂²⋊C₄	—	4	2	no	—
986	C₂²⋊C₄	—	4	2	no	—
987	C₂²⋊C₄	—	4	2	no	—
988	C₂²⋊C₄	—	4	2	no	—
989	C₂²⋊C₄	—	4	2	no	—
990	C₂²⋊C₄	—	4	2	no	—
991	C₂²⋊C₄	—	4	2	no	—
992	C₂²⋊C₄	—	4	2	no	—
993	C₂²⋊C₄	—	4	2	no	—
994	C₂²⋊C₄	—	4	2	no	—
995	C₂²⋊C₄	—	4	1	no	—
996	C₂²⋊C₄	—	4	1	no	—
997	C₂²⋊C₄	—	4	2	no	—
998	C₂²⋊C₄	—	4	2	no	—
999	C₂²⋊C₄	—	4	2	no	—
1000	C₂²⋊C₄	—	4	2	no	—
1001	C₂²⋊C₄	—	4	2	no	—
1002	C₂²⋊C₄	—	4	2	no	—
1003	C₂²⋊C₄	—	4	2	no	—
1004	C₂²⋊C₄	—	4	2	no	—
1005	C₂²⋊C₄	—	4	2	no	—
1006	C₂²⋊C₄	—	4	2	no	—
1007	C₂²⋊C₄	—	4	1	no	—
1008	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
1009	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
1010	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
1011	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
1012	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
1013	C₄²	—	2	2	no	—
1014	C₄²	—	2	2	no	—
1015	C₄²	—	2	2	no	—
1016	C₄²	—	2	2	no	—
1017	C₄²	—	4	1	no	—
1018	C₄²	—	4	1	no	—
1019	C₄²	—	4	2	no	—
1020	C₄²	—	4	2	no	—
1021	C₄²	—	4	2	no	—
1022	C₄²	—	4	2	no	—
1023	C₄²	C₂²×C₄×C₁₁	1	4	yes	—
1024	C₁₁	#34471	1	1	yes	characteristic, direct product factor, Sylow
1025	C₂³	—	2	1	no	—
1026	C₂³	—	2	1	no	—
1027	C₂³	—	2	1	no	—
1028	C₂³	—	2	1	no	—
1029	C₂³	—	2	1	no	—
1030	C₂³	—	2	2	no	—
1031	C₂³	—	2	2	no	—
1032	C₂³	—	2	1	no	—
1033	C₂³	—	2	1	no	—
1034	C₂³	—	2	2	no	—
1035	C₂³	—	2	2	no	—
1036	C₂³	—	2	2	no	—
1037	C₂³	—	2	2	no	—
1038	C₂³	—	2	2	no	—
1039	C₂³	—	2	2	no	—
1040	C₂³	—	2	2	no	—
1041	C₂³	—	2	2	no	—
1042	C₂³	—	2	2	no	—
1043	C₂³	—	2	2	no	—
1044	C₂³	—	2	2	no	—
1045	C₂³	—	2	2	no	—
1046	C₂³	—	2	1	no	—
1047	C₂³	—	2	1	no	—
1048	C₂³	—	2	2	no	—
1049	C₂³	—	2	2	no	—
1050	C₂³	—	2	1	no	—
1051	C₂³	—	2	2	no	—
1052	C₂³	—	2	2	no	—
1053	C₂³	—	2	16	no	—
1054	C₂³	—	4	8	no	—
1055	C₂³	—	4	8	no	—
1056	C₂³	—	4	8	no	—
1057	C₂³	—	4	8	no	—
1058	C₂³	—	4	8	no	—
1059	C₂³	—	8	4	no	—
1060	C₂³	—	8	4	no	—
1061	C₂³	—	8	4	no	—
1062	C₂³	—	8	4	no	—
1063	C₂³	—	8	4	no	—
1064	C₂³	—	8	4	no	—
1065	C₂³	—	8	4	no	—
1066	C₂³	—	8	4	no	—
1067	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
1068	C₂³	C₂³×C₄×C₁₁	1	4	yes	—
1069	C₂³	C₂³×C₄×C₁₁	1	4	yes	—
1070	C₂³	C₂³×C₄×C₁₁	1	4	yes	—
1071	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
1072	C₂³	C₁₁×H(5,𝔽₂)	1	2	yes	—
1073	C₂³	C₁₁×H(5,𝔽₂)	1	2	yes	—
1074	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
1075	D₄	—	2	8	no	—
1076	D₄	—	2	16	no	—
1077	D₄	—	2	8	no	—
1078	D₄	—	2	8	no	—
1079	D₄	—	2	8	no	—
1080	D₄	—	4	8	no	—
1081	D₄	—	4	8	no	—
1082	D₄	—	4	8	no	—
1083	D₄	—	4	8	no	—
1084	D₄	—	4	8	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	2	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	2	1	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	8	no	—
1098	C₂×C₄	—	2	8	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	2	2	no	—
1112	C₂×C₄	—	2	2	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	2	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	2	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	2	no	—
1123	C₂×C₄	—	2	2	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	2	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	2	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	4	8	no	—
1133	C₂×C₄	—	4	4	no	—
1134	C₂×C₄	—	4	4	no	—
1135	C₂×C₄	—	8	4	no	—
1136	C₂×C₄	—	8	4	no	—
1137	C₂×C₄	—	8	4	no	—
1138	C₂×C₄	—	8	4	no	—
1139	C₂×C₄	—	8	4	no	—
1140	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1141	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1142	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1143	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1144	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
1145	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1146	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
1147	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
1148	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
1149	C₂²	—	2	2	no	—
1150	C₂²	—	2	2	no	—
1151	C₂²	—	2	2	no	—
1152	C₂²	—	2	2	no	—
1153	C₂²	—	2	2	no	—
1154	C₂²	—	2	2	no	—
1155	C₂²	—	2	2	no	—
1156	C₂²	—	2	4	no	—
1157	C₂²	—	2	2	no	—
1158	C₂²	—	2	4	no	—
1159	C₂²	—	2	4	no	—
1160	C₂²	—	2	4	no	—
1161	C₂²	—	2	4	no	—
1162	C₂²	—	2	4	no	—
1163	C₂²	—	2	4	no	—
1164	C₂²	—	2	4	no	—
1165	C₂²	—	2	2	no	—
1166	C₂²	—	2	4	no	—
1167	C₂²	—	4	2	no	—
1168	C₂²	—	4	2	no	—
1169	C₂²	—	4	1	no	—
1170	C₂²	—	4	2	no	—
1171	C₂²	—	4	1	no	—
1172	C₂²	—	4	2	no	—
1173	C₂²	—	4	2	no	—
1174	C₂²	—	4	2	no	—
1175	C₂²	—	4	2	no	—
1176	C₂²	—	4	1	no	—
1177	C₂²	—	4	2	no	—
1178	C₂²	—	4	2	no	—
1179	C₂²	—	4	2	no	—
1180	C₂²	—	4	1	no	—
1181	C₂²	—	4	2	no	—
1182	C₂²	—	4	2	no	—
1183	C₂²	—	8	16	no	—
1184	C₂²	—	8	16	no	—
1185	C₂²	C₁₁×#518	1	4	yes	—
1186	C₂²	C₂⁴×C₄×C₁₁	1	1	yes	characteristic
1187	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1188	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1189	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1190	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1191	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1192	C₂²	C₁₁×#585	1	1	yes	characteristic
1193	C₄	—	2	2	no	—
1194	C₄	—	2	2	no	—
1195	C₄	—	2	2	no	—
1196	C₄	—	2	4	no	—
1197	C₄	—	2	2	no	—
1198	C₄	—	2	2	no	—
1199	C₄	—	4	1	no	—
1200	C₄	—	4	1	no	—
1201	C₄	—	4	2	no	—
1202	C₄	—	4	1	no	—
1203	C₄	—	4	1	no	—
1204	C₄	—	4	1	no	—
1205	C₄	—	4	1	no	—
1206	C₄	—	4	2	no	—
1207	C₄	—	4	2	no	—
1208	C₄	—	4	1	no	—
1209	C₄	—	4	2	no	—
1210	C₄	C₁₁×#518	1	4	yes	—
1211	C₂	—	2	4	no	—
1212	C₂	—	4	2	no	—
1213	C₂	—	4	4	no	—
1214	C₂	—	4	4	no	—
1215	C₂	—	4	4	no	—
1216	C₂	C₂×C₁₁×#518	1	1	yes	characteristic
1217	C₂	C₂×C₁₁×#518	1	1	yes	characteristic
1218	C₂	C₄×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1219	C₂	C₁₁×#3537	1	1	yes	characteristic
1220	C₂	C₁₁×#3542	1	1	yes	characteristic
1221	C₂	C₁₁×#3543	1	1	yes	characteristic
1222	C₂	C₁₁×#3558	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₁
Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂×D₄²×C₁₁	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₁×#2377	C₂	semidirect
3. C₁₁×#2375	C₂	semidirect
4. C₁₁×#2366	C₂	semidirect
5. C₁₁×#2363	C₂	semidirect
6. C₁₁×#2361	C₂	semidirect
7. C₁₁×#2358	C₂	semidirect
8. C₁₁×#2357	C₂	semidirect
9. C₁₁×#2352	C₂	semidirect
10. D₄×C₁₁×C₂²⋊C₄	C₂	semidirect
11. D₄×C₁₁×C₂²⋊C₄	C₂	semidirect
12. D₄×C₁₁×C₂²⋊C₄	C₂	semidirect
13. C₁₁×#2333	C₂	semidirect
14. C₁₁×#2328	C₂	semidirect
15. C₁₁×#2324	C₂	semidirect
16. C₁₁×#2321	C₂	semidirect
17. C₁₁×#2321	C₂	semidirect
18. C₁₁×#2319	C₂	semidirect
19. C₁₁×#2309	C₂	semidirect
20. C₁₁×#2308	C₂	semidirect
21. C₄×C₁₁×#121	C₂	semidirect
22. C₂×C₁₁×#390	C₂	semidirect
23. C₁₁×#2290	C₂	semidirect
27. D₄²×C₁₁	C₄	semidirect
36. C₂×C₄×D₄×C₁₁	C₂²	semidirect
37. C₂×C₄×D₄×C₁₁	C₂²	semidirect
38. C₂×C₄×D₄×C₁₁	C₂²	semidirect
39. C₂×C₄×D₄×C₁₁	C₂²	semidirect
40. C₂×C₄×D₄×C₁₁	C₂²	semidirect
41. C₂×C₄×D₄×C₁₁	C₂²	semidirect
42. C₂×C₄×D₄×C₁₁	C₂²	semidirect
43. C₂×C₁₁×#117	C₂²	semidirect
44. C₂×C₁₁×#117	C₂²	semidirect
45. C₂²×C₁₁×C₄⋊C₄	C₂²	semidirect
46. C₂²×C₁₁×C₂²⋊C₄	C₂²	semidirect
47. C₂²×C₁₁×C₂²⋊C₄	C₂²	semidirect
48. C₂²×C₁₁×C₂²⋊C₄	C₂²	semidirect
49. C₂²×C₁₁×C₂²⋊C₄	C₂²	semidirect
50. C₂²×C₄²×C₁₁	C₂²	semidirect
55. C₁₁×#390	C₂²	semidirect
56. C₁₁×#390	C₂²	semidirect
57. C₁₁×#390	C₂²	semidirect
58. C₁₁×#390	C₂²	semidirect
59. C₁₁×#390	C₂²	semidirect
60. C₁₁×#390	C₂²	semidirect
61. C₁₁×#390	C₂²	semidirect
62. C₁₁×#390	C₂²	semidirect
63. C₁₁×#390	C₂²	semidirect
64. C₁₁×#390	C₂²	semidirect
65. C₁₁×#390	C₂²	semidirect
66. C₁₁×#389	C₂²	semidirect
67. C₁₁×#389	C₂²	semidirect
68. C₁₁×#388	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×#387	C₂²	semidirect
80. C₁₁×#387	C₂²	semidirect
81. C₁₁×#387	C₂²	semidirect
85. C₁₁×#386	C₂²	semidirect
86. C₁₁×#386	C₂²	semidirect
87. C₁₁×#386	C₂²	semidirect
88. C₁₁×#386	C₂²	semidirect
89. C₁₁×#386	C₂²	semidirect
90. C₁₁×#386	C₂²	semidirect
91. C₁₁×#386	C₂²	semidirect
92. C₁₁×#386	C₂²	semidirect
93. C₁₁×#386	C₂²	semidirect
94. C₁₁×#386	C₂²	semidirect
95. C₁₁×#386	C₂²	semidirect
96. C₁₁×#386	C₂²	semidirect
97. C₁₁×#386	C₂²	semidirect
98. C₁₁×#386	C₂²	semidirect
99. C₁₁×#385	C₂²	semidirect
100. C₁₁×#385	C₂²	semidirect
101. C₁₁×#385	C₂²	semidirect
102. C₁₁×#385	C₂²	semidirect
103. C₁₁×#382	C₂²	semidirect
104. C₁₁×#381	C₂²	semidirect
105. C₁₁×#381	C₂²	semidirect
106. C₁₁×#380	C₂²	semidirect
107. C₁₁×#380	C₂²	semidirect
108. C₁₁×#380	C₂²	semidirect
109. C₁₁×#379	C₂²	semidirect
110. C₁₁×#379	C₂²	semidirect
111. C₁₁×#379	C₂²	semidirect
112. C₁₁×#379	C₂²	semidirect
113. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
114. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
115. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
116. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
117. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
118. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
119. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
120. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
121. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
122. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
123. C₁₁×#376	C₂²	semidirect
132. C₂²×D₄×C₁₁	C₂×C₄	semidirect
133. C₂²×D₄×C₁₁	C₂×C₄	semidirect
134. C₂²×D₄×C₁₁	C₂×C₄	semidirect
155. C₁₁×#127	C₂×C₄	semidirect
156. C₁₁×#121	C₂×C₄	semidirect
157. C₁₁×#121	C₂×C₄	semidirect
158. C₁₁×#121	C₂×C₄	semidirect
159. C₁₁×#120	C₂×C₄	semidirect
160. C₁₁×#120	C₂×C₄	semidirect
168. C₄×D₄×C₁₁	C₂×C₄	semidirect
169. C₄×D₄×C₁₁	C₂×C₄	semidirect
255. #34471	C₁₁	direct (N × H)
415. #2377	C₂×C₁₁	semidirect
416. #2375	C₂×C₁₁	semidirect
417. #2366	C₂×C₁₁	semidirect
418. #2363	C₂×C₁₁	semidirect
419. #2361	C₂×C₁₁	semidirect
420. #2358	C₂×C₁₁	semidirect
421. #2357	C₂×C₁₁	semidirect
422. #2352	C₂×C₁₁	semidirect
423. D₄×C₂²⋊C₄	C₂×C₁₁	semidirect
424. D₄×C₂²⋊C₄	C₂×C₁₁	semidirect
425. D₄×C₂²⋊C₄	C₂×C₁₁	semidirect
426. #2333	C₂×C₁₁	semidirect
427. #2328	C₂×C₁₁	semidirect
428. #2324	C₂×C₁₁	semidirect
429. #2321	C₂×C₁₁	semidirect
430. #2321	C₂×C₁₁	semidirect
431. #2319	C₂×C₁₁	semidirect
432. #2309	C₂×C₁₁	semidirect
433. #2308	C₂×C₁₁	semidirect
434. C₄×#121	C₂×C₁₁	semidirect
435. C₂×#390	C₂×C₁₁	semidirect
436. #2290	C₂×C₁₁	semidirect
564. D₄²	C₄×C₁₁	semidirect
573. C₂×C₄×D₄	C₂²×C₁₁	semidirect
574. C₂×C₄×D₄	C₂²×C₁₁	semidirect
575. C₂×C₄×D₄	C₂²×C₁₁	semidirect
576. C₂×C₄×D₄	C₂²×C₁₁	semidirect
577. C₂×C₄×D₄	C₂²×C₁₁	semidirect
578. C₂×C₄×D₄	C₂²×C₁₁	semidirect
579. C₂×C₄×D₄	C₂²×C₁₁	semidirect
580. C₂×#117	C₂²×C₁₁	semidirect
581. C₂×#117	C₂²×C₁₁	semidirect
582. C₂²×C₄⋊C₄	C₂²×C₁₁	semidirect
583. C₂²×C₂²⋊C₄	C₂²×C₁₁	semidirect
584. C₂²×C₂²⋊C₄	C₂²×C₁₁	semidirect
585. C₂²×C₂²⋊C₄	C₂²×C₁₁	semidirect
586. C₂²×C₂²⋊C₄	C₂²×C₁₁	semidirect
587. C₂²×C₄²	C₂²×C₁₁	semidirect
592. #390	C₂²×C₁₁	semidirect
593. #390	C₂²×C₁₁	semidirect
594. #390	C₂²×C₁₁	semidirect
595. #390	C₂²×C₁₁	semidirect
596. #390	C₂²×C₁₁	semidirect
597. #390	C₂²×C₁₁	semidirect
598. #390	C₂²×C₁₁	semidirect
599. #390	C₂²×C₁₁	semidirect
600. #390	C₂²×C₁₁	semidirect
601. #390	C₂²×C₁₁	semidirect
602. #390	C₂²×C₁₁	semidirect
603. #389	C₂²×C₁₁	semidirect
604. #389	C₂²×C₁₁	semidirect
605. #388	C₂²×C₁₁	semidirect
606. #388	C₂²×C₁₁	semidirect
607. #388	C₂²×C₁₁	semidirect
608. #388	C₂²×C₁₁	semidirect
609. #388	C₂²×C₁₁	semidirect
610. #388	C₂²×C₁₁	semidirect
611. #388	C₂²×C₁₁	semidirect
612. #388	C₂²×C₁₁	semidirect
613. #388	C₂²×C₁₁	semidirect
614. #388	C₂²×C₁₁	semidirect
615. #388	C₂²×C₁₁	semidirect
616. #387	C₂²×C₁₁	semidirect
617. #387	C₂²×C₁₁	semidirect
618. #387	C₂²×C₁₁	semidirect
622. #386	C₂²×C₁₁	semidirect
623. #386	C₂²×C₁₁	semidirect
624. #386	C₂²×C₁₁	semidirect
625. #386	C₂²×C₁₁	semidirect
626. #386	C₂²×C₁₁	semidirect
627. #386	C₂²×C₁₁	semidirect
628. #386	C₂²×C₁₁	semidirect
629. #386	C₂²×C₁₁	semidirect
630. #386	C₂²×C₁₁	semidirect
631. #386	C₂²×C₁₁	semidirect
632. #386	C₂²×C₁₁	semidirect
633. #386	C₂²×C₁₁	semidirect
634. #386	C₂²×C₁₁	semidirect
635. #386	C₂²×C₁₁	semidirect
636. #385	C₂²×C₁₁	semidirect
637. #385	C₂²×C₁₁	semidirect
638. #385	C₂²×C₁₁	semidirect
639. #385	C₂²×C₁₁	semidirect
640. #382	C₂²×C₁₁	semidirect
641. #381	C₂²×C₁₁	semidirect
642. #381	C₂²×C₁₁	semidirect
643. #380	C₂²×C₁₁	semidirect
644. #380	C₂²×C₁₁	semidirect
645. #380	C₂²×C₁₁	semidirect
646. #379	C₂²×C₁₁	semidirect
647. #379	C₂²×C₁₁	semidirect
648. #379	C₂²×C₁₁	semidirect
649. #379	C₂²×C₁₁	semidirect
650. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
651. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
652. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
653. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
654. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
655. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
656. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
657. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
658. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
659. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
660. #376	C₂²×C₁₁	semidirect
731. C₂²×D₄	C₂×C₄×C₁₁	semidirect
732. C₂²×D₄	C₂×C₄×C₁₁	semidirect
733. C₂²×D₄	C₂×C₄×C₁₁	semidirect
754. #127	C₂×C₄×C₁₁	semidirect
755. #121	C₂×C₄×C₁₁	semidirect
756. #121	C₂×C₄×C₁₁	semidirect
757. #121	C₂×C₄×C₁₁	semidirect
758. #120	C₂×C₄×C₁₁	semidirect
759. #120	C₂×C₄×C₁₁	semidirect
767. C₄×D₄	C₂×C₄×C₁₁	semidirect
768. C₄×D₄	C₂×C₄×C₁₁	semidirect
1024. C₁₁	#34471	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×D₄²×C₁₁	2
C₁₁×#2377	2
C₁₁×#2375	2
C₁₁×#2366	2
C₁₁×#2363	2
C₁₁×#2361	2
C₁₁×#2358	2
C₁₁×#2357	2
C₁₁×#2352	2
D₄×C₁₁×C₂²⋊C₄	2
C₁₁×#2333	2
C₁₁×#2328	2
C₁₁×#2324	2
C₁₁×#2321	2
C₁₁×#2319	2
C₁₁×#2309	2
C₁₁×#2308	2
C₄×C₁₁×#121	2
C₂×C₁₁×#390	2
C₁₁×#2290	2
#34471	11

Subgroups — C11×#34471 #14611664

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#34471 #14611664