Subgroups — C₁₁×#34476 #14611669

Order 2816.

2736 conjugacy classes of subgroups.

The subgroup lattice has 1144 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#546	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2377	C₂	1	2	yes	maximal, complemented
3	C₁₁×#2376	C₂	1	2	yes	maximal, complemented
4	C₁₁×#2367	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#2361	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#2360	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#2358	C₂	1	2	yes	maximal, complemented
8	C₁₁×#2354	C₂	1	1	yes	maximal, characteristic, complemented
9	D₄×C₁₁×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#2342	C₂	1	2	yes	maximal, complemented
11	C₁₁×#2341	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×C₁₁×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#2335	C₂	1	2	yes	maximal, complemented
14	C₁₁×#2326	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2324	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2324	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×#2315	C₂	1	2	yes	maximal, complemented
20	C₁₁×#2311	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₁₁×C₂²⋊Q₈	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	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic
25	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic
26	C₁₁×#546	C₄	1	16	yes	complemented
27	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic
28	C₂×C₁₁×#123	C₂²	1	2	yes	—
29	C₂×C₁₁×C₂²⋊Q₈	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×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
36	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
40	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	complemented
41	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₁×#117	C₂²	1	2	yes	complemented
43	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
44	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
46	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
47	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
48	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
49	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
50	C₁₁×#391	C₂²	1	1	yes	characteristic, complemented
51	C₁₁×#391	C₂²	1	1	yes	characteristic, complemented
52	C₁₁×#390	C₂²	1	1	yes	characteristic
53	C₁₁×#390	C₂²	1	1	yes	characteristic
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	2	yes	—
58	C₁₁×#390	C₂²	1	1	yes	characteristic
59	C₁₁×#390	C₂²	1	1	yes	characteristic
60	C₁₁×#390	C₂²	1	2	yes	complemented
61	C₁₁×#390	C₂²	1	2	yes	complemented
62	C₁₁×#390	C₂²	1	2	yes	complemented
63	C₁₁×#389	C₂²	1	1	yes	characteristic, complemented
64	C₁₁×#389	C₂²	1	1	yes	characteristic, complemented
65	C₁₁×#389	C₂²	1	2	yes	complemented
66	C₁₁×#389	C₂²	1	2	yes	complemented
67	C₁₁×#388	C₂²	1	1	yes	characteristic, complemented
68	C₁₁×#388	C₂²	1	1	yes	characteristic, 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×#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×#387	C₂²	1	2	yes	complemented
83	C₁₁×#386	C₂²	1	1	yes	characteristic
84	C₁₁×#386	C₂²	1	1	yes	characteristic
85	C₁₁×#386	C₂²	1	2	yes	—
86	C₁₁×#386	C₂²	1	2	yes	—
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×#385	C₂²	1	1	yes	characteristic
92	C₁₁×#385	C₂²	1	1	yes	characteristic
93	C₁₁×#385	C₂²	1	2	yes	—
94	C₁₁×#385	C₂²	1	2	yes	—
95	C₁₁×#385	C₂²	1	2	yes	—
96	C₁₁×#385	C₂²	1	2	yes	complemented
97	C₁₁×#385	C₂²	1	2	yes	complemented
98	C₁₁×#385	C₂²	1	2	yes	complemented
99	C₁₁×#385	C₂²	1	2	yes	complemented
100	C₁₁×#385	C₂²	1	2	yes	complemented
101	C₁₁×#385	C₂²	1	2	yes	complemented
102	C₁₁×#384	C₂²	1	1	yes	characteristic, complemented
103	C₁₁×#381	C₂²	1	2	yes	complemented
104	C₁₁×#380	C₂²	1	1	yes	characteristic
105	C₁₁×#380	C₂²	1	2	yes	complemented
106	C₁₁×#380	C₂²	1	2	yes	complemented
107	C₁₁×#380	C₂²	1	2	yes	complemented
108	C₁₁×#380	C₂²	1	2	yes	complemented
109	C₁₁×#380	C₂²	1	2	yes	complemented
110	C₁₁×#380	C₂²	1	1	yes	characteristic, complemented
111	C₁₁×#379	C₂²	1	2	yes	—
112	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
113	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	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
118	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
119	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic, 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	C₂×C₁₁×#41	—	4	2	no	—
126	C₂×C₁₁×#41	—	4	2	no	—
127	C₂×C₁₁×#41	C₂×C₄	1	8	yes	complemented
128	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₁	—	4	2	no	—
130	C₂²×D₄×C₁₁	—	4	2	no	—
131	C₂²×D₄×C₁₁	C₂×C₄	1	8	yes	complemented
132	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
133	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
134	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
136	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
137	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
138	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
143	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
144	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
145	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
146	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
147	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
148	C₁₁×#124	C₂×C₄	1	8	yes	complemented
149	C₁₁×#123	C₂×C₄	1	16	yes	complemented
150	C₁₁×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
151	C₁₁×#121	C₂×C₄	1	8	yes	complemented
152	C₁₁×#121	C₂×C₄	1	16	yes	complemented
153	C₁₁×#120	C₂×C₄	1	16	yes	complemented
154	C₄×Q₈×C₁₁	—	4	2	no	—
155	C₄×Q₈×C₁₁	—	4	2	no	—
156	C₄×D₄×C₁₁	—	4	4	no	—
157	C₄×D₄×C₁₁	—	4	2	no	—
158	C₄×D₄×C₁₁	—	4	2	no	—
159	C₄×D₄×C₁₁	—	4	4	no	—
160	C₄×D₄×C₁₁	C₂×C₄	1	8	yes	complemented
161	C₄×D₄×C₁₁	C₂×C₄	1	8	yes	complemented
162	C₁₁×#117	—	4	2	no	—
163	C₁₁×#117	—	4	4	no	—
164	C₂×C₁₁×C₄⋊C₄	—	4	2	no	—
165	C₂×C₁₁×C₄⋊C₄	—	4	2	no	—
166	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
170	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
178	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
180	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
181	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
183	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
185	C₂×C₁₁×C₂²⋊C₄	—	4	4	no	—
186	C₂×C₁₁×C₂²⋊C₄	—	4	4	no	—
187	C₂×C₁₁×C₂²⋊C₄	—	4	4	no	—
188	C₂×C₁₁×C₂²⋊C₄	C₂×C₄	1	16	yes	complemented
189	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
194	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
205	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
218	C₂×C₄²×C₁₁	—	4	2	no	—
219	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
224	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
227	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
228	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
229	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
230	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
231	C₁₁×#95	C₂³	1	1	yes	characteristic
232	C₁₁×#95	C₂³	1	1	yes	characteristic
233	C₁₁×#95	C₂³	1	1	yes	characteristic
234	C₁₁×#95	C₂³	1	1	yes	characteristic
235	C₁₁×#95	C₂³	1	2	yes	—
236	C₁₁×#95	C₂³	1	2	yes	—
237	C₁₁×#95	C₂³	1	2	yes	—
238	C₁₁×#95	C₂³	1	2	yes	—
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	1	yes	characteristic
243	C₁₁×#95	C₂³	1	1	yes	characteristic
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	2	yes	—
249	C₁₁×#95	C₂³	1	2	yes	—
250	C₁₁×#95	C₂³	1	2	yes	—
251	C₁₁×#95	C₂³	1	1	yes	characteristic
252	#34476	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
253	C₂⁴×C₁₁	—	2	4	no	—
254	C₂⁴×C₁₁	—	2	4	no	—
255	C₂⁴×C₁₁	—	4	2	no	—
256	C₂⁴×C₁₁	—	4	2	no	—
257	C₂⁴×C₁₁	—	4	2	no	—
258	C₂⁴×C₁₁	—	4	2	no	—
259	C₂⁴×C₁₁	C₂²×C₄	1	8	yes	—
260	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
261	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
262	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
263	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
264	C₁₁×#41	—	4	16	no	—
265	C₂×Q₈×C₁₁	—	2	2	no	—
266	C₂×Q₈×C₁₁	—	2	2	no	—
267	C₂×Q₈×C₁₁	C₂²×C₄	1	4	yes	—
268	C₂×D₄×C₁₁	—	2	2	no	—
269	C₂×D₄×C₁₁	—	2	2	no	—
270	C₂×D₄×C₁₁	—	2	2	no	—
271	C₂×D₄×C₁₁	—	2	2	no	—
272	C₂×D₄×C₁₁	—	2	2	no	—
273	C₂×D₄×C₁₁	—	2	2	no	—
274	C₂×D₄×C₁₁	—	4	16	no	—
275	C₂×D₄×C₁₁	—	4	2	no	—
276	C₂×D₄×C₁₁	—	4	2	no	—
277	C₂×D₄×C₁₁	—	4	2	no	—
278	C₂×D₄×C₁₁	—	4	2	no	—
279	C₂×D₄×C₁₁	—	4	2	no	—
280	C₂×D₄×C₁₁	—	4	2	no	—
281	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
282	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
283	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
284	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
285	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
286	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
287	C₂²×C₄×C₁₁	—	2	2	no	—
288	C₂²×C₄×C₁₁	—	2	2	no	—
289	C₂²×C₄×C₁₁	—	2	2	no	—
290	C₂²×C₄×C₁₁	—	2	2	no	—
291	C₂²×C₄×C₁₁	—	2	2	no	—
292	C₂²×C₄×C₁₁	—	2	2	no	—
293	C₂²×C₄×C₁₁	—	2	4	no	—
294	C₂²×C₄×C₁₁	—	2	2	no	—
295	C₂²×C₄×C₁₁	—	4	1	no	—
296	C₂²×C₄×C₁₁	—	4	1	no	—
297	C₂²×C₄×C₁₁	—	4	2	no	—
298	C₂²×C₄×C₁₁	—	4	2	no	—
299	C₂²×C₄×C₁₁	—	4	1	no	—
300	C₂²×C₄×C₁₁	—	4	2	no	—
301	C₂²×C₄×C₁₁	—	4	2	no	—
302	C₂²×C₄×C₁₁	—	4	2	no	—
303	C₂²×C₄×C₁₁	—	4	2	no	—
304	C₂²×C₄×C₁₁	—	4	2	no	—
305	C₂²×C₄×C₁₁	—	4	2	no	—
306	C₂²×C₄×C₁₁	—	4	2	no	—
307	C₂²×C₄×C₁₁	—	4	2	no	—
308	C₂²×C₄×C₁₁	—	4	2	no	—
309	C₂²×C₄×C₁₁	—	4	2	no	—
310	C₂²×C₄×C₁₁	—	4	2	no	—
311	C₂²×C₄×C₁₁	—	4	2	no	—
312	C₂²×C₄×C₁₁	—	4	2	no	—
313	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
314	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
315	C₂²×C₄×C₁₁	C₂²×C₄	1	8	yes	—
316	C₂²×C₄×C₁₁	C₂²×C₄	1	8	yes	—
317	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
318	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
325	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
327	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
328	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
330	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
331	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
336	C₁₁×C₄⋊C₄	—	2	2	no	—
337	C₁₁×C₄⋊C₄	—	2	2	no	—
338	C₁₁×C₄⋊C₄	—	2	2	no	—
339	C₁₁×C₄⋊C₄	—	2	2	no	—
340	C₁₁×C₄⋊C₄	—	2	2	no	—
341	C₁₁×C₄⋊C₄	—	4	2	no	—
342	C₁₁×C₄⋊C₄	—	4	2	no	—
343	C₁₁×C₄⋊C₄	—	4	1	no	—
344	C₁₁×C₄⋊C₄	—	4	2	no	—
345	C₁₁×C₄⋊C₄	—	4	2	no	—
346	C₁₁×C₄⋊C₄	—	4	1	no	—
347	C₁₁×C₄⋊C₄	—	4	1	no	—
348	C₁₁×C₄⋊C₄	—	4	2	no	—
349	C₁₁×C₄⋊C₄	—	4	2	no	—
350	C₁₁×C₄⋊C₄	—	4	2	no	—
351	C₁₁×C₄⋊C₄	—	4	2	no	—
352	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
353	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
354	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
355	C₁₁×C₂²⋊C₄	—	2	2	no	—
356	C₁₁×C₂²⋊C₄	—	2	4	no	—
357	C₁₁×C₂²⋊C₄	—	2	2	no	—
358	C₁₁×C₂²⋊C₄	—	2	4	no	—
359	C₁₁×C₂²⋊C₄	—	2	4	no	—
360	C₁₁×C₂²⋊C₄	—	2	2	no	—
361	C₁₁×C₂²⋊C₄	—	4	2	no	—
362	C₁₁×C₂²⋊C₄	—	4	2	no	—
363	C₁₁×C₂²⋊C₄	—	4	2	no	—
364	C₁₁×C₂²⋊C₄	—	4	2	no	—
365	C₁₁×C₂²⋊C₄	—	4	2	no	—
366	C₁₁×C₂²⋊C₄	—	4	2	no	—
367	C₁₁×C₂²⋊C₄	—	4	2	no	—
368	C₁₁×C₂²⋊C₄	—	4	2	no	—
369	C₁₁×C₂²⋊C₄	—	4	2	no	—
370	C₁₁×C₂²⋊C₄	—	4	1	no	—
371	C₁₁×C₂²⋊C₄	—	4	1	no	—
372	C₁₁×C₂²⋊C₄	—	4	1	no	—
373	C₁₁×C₂²⋊C₄	—	4	2	no	—
374	C₁₁×C₂²⋊C₄	—	4	2	no	—
375	C₁₁×C₂²⋊C₄	—	4	2	no	—
376	C₁₁×C₂²⋊C₄	—	4	2	no	—
377	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
378	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
379	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
380	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
381	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
382	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
383	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
384	C₄²×C₁₁	—	2	2	no	—
385	C₄²×C₁₁	—	2	2	no	—
386	C₄²×C₁₁	—	2	4	no	—
387	C₄²×C₁₁	—	2	2	no	—
388	C₄²×C₁₁	—	2	2	no	—
389	C₄²×C₁₁	—	4	1	no	—
390	C₄²×C₁₁	—	4	1	no	—
391	C₄²×C₁₁	—	4	2	no	—
392	C₄²×C₁₁	—	4	2	no	—
393	C₄²×C₁₁	—	4	2	no	—
394	C₄²×C₁₁	—	4	2	no	—
395	C₄²×C₁₁	C₂²×C₄	1	4	yes	—
396	C₂×#546	C₂×C₁₁	1	1	yes	characteristic
397	#2377	C₂×C₁₁	1	2	yes	complemented
398	#2376	C₂×C₁₁	1	2	yes	complemented
399	#2367	C₂×C₁₁	1	1	yes	characteristic, complemented
400	#2361	C₂×C₁₁	1	1	yes	characteristic, complemented
401	#2360	C₂×C₁₁	1	1	yes	characteristic, complemented
402	#2358	C₂×C₁₁	1	2	yes	complemented
403	#2354	C₂×C₁₁	1	1	yes	characteristic, complemented
404	D₄×C₄⋊C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
405	#2342	C₂×C₁₁	1	2	yes	complemented
406	#2341	C₂×C₁₁	1	1	yes	characteristic, complemented
407	D₄×C₂²⋊C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
408	#2335	C₂×C₁₁	1	2	yes	complemented
409	#2326	C₂×C₁₁	1	1	yes	characteristic, complemented
410	#2324	C₂×C₁₁	1	1	yes	characteristic, complemented
411	#2324	C₂×C₁₁	1	2	yes	complemented
412	#2321	C₂×C₁₁	1	2	yes	complemented
413	#2319	C₂×C₁₁	1	1	yes	characteristic, complemented
414	#2315	C₂×C₁₁	1	2	yes	complemented
415	#2311	C₂×C₁₁	1	1	yes	characteristic, complemented
416	C₄×C₂²⋊Q₈	C₂×C₁₁	1	1	yes	characteristic, complemented
417	C₂×#390	C₂×C₁₁	1	1	yes	characteristic, complemented
418	#2290	C₂×C₁₁	1	1	yes	characteristic, complemented
419	C₂³×C₁₁	—	2	1	no	—
420	C₂³×C₁₁	—	2	1	no	—
421	C₂³×C₁₁	—	2	1	no	—
422	C₂³×C₁₁	—	2	1	no	—
423	C₂³×C₁₁	—	2	2	no	—
424	C₂³×C₁₁	—	2	2	no	—
425	C₂³×C₁₁	—	2	1	no	—
426	C₂³×C₁₁	—	2	2	no	—
427	C₂³×C₁₁	—	2	1	no	—
428	C₂³×C₁₁	—	2	1	no	—
429	C₂³×C₁₁	—	2	2	no	—
430	C₂³×C₁₁	—	2	2	no	—
431	C₂³×C₁₁	—	2	2	no	—
432	C₂³×C₁₁	—	2	1	no	—
433	C₂³×C₁₁	—	2	2	no	—
434	C₂³×C₁₁	—	2	2	no	—
435	C₂³×C₁₁	—	2	1	no	—
436	C₂³×C₁₁	—	2	2	no	—
437	C₂³×C₁₁	—	2	2	no	—
438	C₂³×C₁₁	—	2	2	no	—
439	C₂³×C₁₁	—	2	1	no	—
440	C₂³×C₁₁	—	2	2	no	—
441	C₂³×C₁₁	—	2	16	no	—
442	C₂³×C₁₁	—	4	8	no	—
443	C₂³×C₁₁	—	4	8	no	—
444	C₂³×C₁₁	—	8	4	no	—
445	C₂³×C₁₁	—	8	4	no	—
446	C₂³×C₁₁	—	8	4	no	—
447	C₂³×C₁₁	—	8	4	no	—
448	C₂³×C₁₁	C₂³×C₄	1	4	yes	—
449	C₂³×C₁₁	C₂³×C₄	1	4	yes	—
450	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
451	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
452	C₂³×C₁₁	H(5,𝔽₂)	1	2	yes	—
453	C₂³×C₁₁	2₋¹⁺⁴	1	2	yes	—
454	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
455	Q₈×C₁₁	—	2	8	no	—
456	D₄×C₁₁	—	2	8	no	—
457	D₄×C₁₁	—	2	8	no	—
458	D₄×C₁₁	—	2	8	no	—
459	D₄×C₁₁	—	4	8	no	—
460	D₄×C₁₁	—	4	8	no	—
461	D₄×C₁₁	—	4	8	no	—
462	C₂×C₄×C₁₁	—	2	1	no	—
463	C₂×C₄×C₁₁	—	2	2	no	—
464	C₂×C₄×C₁₁	—	2	1	no	—
465	C₂×C₄×C₁₁	—	2	1	no	—
466	C₂×C₄×C₁₁	—	2	2	no	—
467	C₂×C₄×C₁₁	—	2	2	no	—
468	C₂×C₄×C₁₁	—	2	1	no	—
469	C₂×C₄×C₁₁	—	2	1	no	—
470	C₂×C₄×C₁₁	—	2	1	no	—
471	C₂×C₄×C₁₁	—	2	1	no	—
472	C₂×C₄×C₁₁	—	2	1	no	—
473	C₂×C₄×C₁₁	—	2	1	no	—
474	C₂×C₄×C₁₁	—	2	1	no	—
475	C₂×C₄×C₁₁	—	2	2	no	—
476	C₂×C₄×C₁₁	—	2	8	no	—
477	C₂×C₄×C₁₁	—	2	8	no	—
478	C₂×C₄×C₁₁	—	2	1	no	—
479	C₂×C₄×C₁₁	—	2	1	no	—
480	C₂×C₄×C₁₁	—	2	1	no	—
481	C₂×C₄×C₁₁	—	2	1	no	—
482	C₂×C₄×C₁₁	—	2	1	no	—
483	C₂×C₄×C₁₁	—	2	1	no	—
484	C₂×C₄×C₁₁	—	2	2	no	—
485	C₂×C₄×C₁₁	—	2	1	no	—
486	C₂×C₄×C₁₁	—	2	1	no	—
487	C₂×C₄×C₁₁	—	2	2	no	—
488	C₂×C₄×C₁₁	—	2	2	no	—
489	C₂×C₄×C₁₁	—	2	2	no	—
490	C₂×C₄×C₁₁	—	2	2	no	—
491	C₂×C₄×C₁₁	—	2	2	no	—
492	C₂×C₄×C₁₁	—	2	1	no	—
493	C₂×C₄×C₁₁	—	2	1	no	—
494	C₂×C₄×C₁₁	—	2	2	no	—
495	C₂×C₄×C₁₁	—	2	2	no	—
496	C₂×C₄×C₁₁	—	2	1	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	2	no	—
501	C₂×C₄×C₁₁	—	2	2	no	—
502	C₂×C₄×C₁₁	—	2	2	no	—
503	C₂×C₄×C₁₁	—	2	1	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	2	no	—
509	C₂×C₄×C₁₁	—	2	1	no	—
510	C₂×C₄×C₁₁	—	2	1	no	—
511	C₂×C₄×C₁₁	—	4	8	no	—
512	C₂×C₄×C₁₁	—	4	8	no	—
513	C₂×C₄×C₁₁	—	4	4	no	—
514	C₂×C₄×C₁₁	—	4	4	no	—
515	C₂×C₄×C₁₁	—	8	4	no	—
516	C₂×C₄×C₁₁	—	8	4	no	—
517	C₂×C₄×C₁₁	—	8	4	no	—
518	C₂×C₄×C₁₁	—	8	4	no	—
519	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
520	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
521	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
522	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
523	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
524	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
525	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
526	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
527	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
528	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
529	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic
530	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic
531	#546	C₄×C₁₁	1	16	yes	complemented
532	C₂×#124	C₂²×C₁₁	1	1	yes	characteristic
533	C₂×#123	C₂²×C₁₁	1	2	yes	—
534	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
535	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
536	C₂×#121	C₂²×C₁₁	1	2	yes	—
537	C₂×#120	C₂²×C₁₁	1	2	yes	—
538	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
539	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
540	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
541	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
542	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
543	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
544	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
545	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	complemented
546	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic, complemented
547	C₂×#117	C₂²×C₁₁	1	2	yes	complemented
548	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
549	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
550	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
551	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
552	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
553	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
554	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
555	#391	C₂²×C₁₁	1	1	yes	characteristic, complemented
556	#391	C₂²×C₁₁	1	1	yes	characteristic, complemented
557	#390	C₂²×C₁₁	1	1	yes	characteristic
558	#390	C₂²×C₁₁	1	1	yes	characteristic
559	#390	C₂²×C₁₁	1	1	yes	characteristic
560	#390	C₂²×C₁₁	1	1	yes	characteristic
561	#390	C₂²×C₁₁	1	2	yes	—
562	#390	C₂²×C₁₁	1	1	yes	characteristic
563	#390	C₂²×C₁₁	1	1	yes	characteristic
564	#390	C₂²×C₁₁	1	2	yes	—
565	#390	C₂²×C₁₁	1	2	yes	complemented
566	#390	C₂²×C₁₁	1	2	yes	complemented
567	#390	C₂²×C₁₁	1	2	yes	complemented
568	#389	C₂²×C₁₁	1	1	yes	characteristic, complemented
569	#389	C₂²×C₁₁	1	1	yes	characteristic, complemented
570	#389	C₂²×C₁₁	1	2	yes	complemented
571	#389	C₂²×C₁₁	1	2	yes	complemented
572	#388	C₂²×C₁₁	1	2	yes	complemented
573	#388	C₂²×C₁₁	1	2	yes	complemented
574	#388	C₂²×C₁₁	1	2	yes	complemented
575	#388	C₂²×C₁₁	1	2	yes	complemented
576	#388	C₂²×C₁₁	1	2	yes	complemented
577	#388	C₂²×C₁₁	1	1	yes	characteristic, complemented
578	#388	C₂²×C₁₁	1	2	yes	complemented
579	#388	C₂²×C₁₁	1	2	yes	complemented
580	#388	C₂²×C₁₁	1	2	yes	complemented
581	#388	C₂²×C₁₁	1	2	yes	complemented
582	#388	C₂²×C₁₁	1	2	yes	complemented
583	#388	C₂²×C₁₁	1	1	yes	characteristic, complemented
584	#387	C₂²×C₁₁	1	1	yes	characteristic, complemented
585	#387	C₂²×C₁₁	1	2	yes	complemented
586	#387	C₂²×C₁₁	1	1	yes	characteristic, complemented
587	#387	C₂²×C₁₁	1	2	yes	complemented
588	#386	C₂²×C₁₁	1	1	yes	characteristic
589	#386	C₂²×C₁₁	1	2	yes	—
590	#386	C₂²×C₁₁	1	2	yes	—
591	#386	C₂²×C₁₁	1	1	yes	characteristic
592	#386	C₂²×C₁₁	1	2	yes	complemented
593	#386	C₂²×C₁₁	1	2	yes	complemented
594	#386	C₂²×C₁₁	1	2	yes	complemented
595	#386	C₂²×C₁₁	1	2	yes	complemented
596	#385	C₂²×C₁₁	1	1	yes	characteristic
597	#385	C₂²×C₁₁	1	2	yes	—
598	#385	C₂²×C₁₁	1	2	yes	—
599	#385	C₂²×C₁₁	1	2	yes	—
600	#385	C₂²×C₁₁	1	1	yes	characteristic
601	#385	C₂²×C₁₁	1	2	yes	complemented
602	#385	C₂²×C₁₁	1	2	yes	complemented
603	#385	C₂²×C₁₁	1	2	yes	complemented
604	#385	C₂²×C₁₁	1	2	yes	complemented
605	#385	C₂²×C₁₁	1	2	yes	complemented
606	#385	C₂²×C₁₁	1	2	yes	complemented
607	#384	C₂²×C₁₁	1	1	yes	characteristic, complemented
608	#381	C₂²×C₁₁	1	2	yes	complemented
609	#380	C₂²×C₁₁	1	1	yes	characteristic
610	#380	C₂²×C₁₁	1	2	yes	complemented
611	#380	C₂²×C₁₁	1	2	yes	complemented
612	#380	C₂²×C₁₁	1	2	yes	complemented
613	#380	C₂²×C₁₁	1	2	yes	complemented
614	#380	C₂²×C₁₁	1	2	yes	complemented
615	#380	C₂²×C₁₁	1	1	yes	characteristic, complemented
616	#379	C₂²×C₁₁	1	2	yes	—
617	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
618	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	complemented
619	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
620	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
621	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
622	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
623	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
624	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
625	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
626	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
627	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
628	#376	C₂²×C₁₁	1	1	yes	characteristic, complemented
629	C₂²×C₁₁	—	2	2	no	—
630	C₂²×C₁₁	—	2	2	no	—
631	C₂²×C₁₁	—	2	2	no	—
632	C₂²×C₁₁	—	2	2	no	—
633	C₂²×C₁₁	—	2	2	no	—
634	C₂²×C₁₁	—	2	2	no	—
635	C₂²×C₁₁	—	2	2	no	—
636	C₂²×C₁₁	—	2	4	no	—
637	C₂²×C₁₁	—	2	4	no	—
638	C₂²×C₁₁	—	2	2	no	—
639	C₂²×C₁₁	—	2	4	no	—
640	C₂²×C₁₁	—	2	4	no	—
641	C₂²×C₁₁	—	2	4	no	—
642	C₂²×C₁₁	—	2	2	no	—
643	C₂²×C₁₁	—	2	4	no	—
644	C₂²×C₁₁	—	4	1	no	—
645	C₂²×C₁₁	—	4	2	no	—
646	C₂²×C₁₁	—	4	2	no	—
647	C₂²×C₁₁	—	4	2	no	—
648	C₂²×C₁₁	—	4	1	no	—
649	C₂²×C₁₁	—	4	2	no	—
650	C₂²×C₁₁	—	4	1	no	—
651	C₂²×C₁₁	—	4	2	no	—
652	C₂²×C₁₁	—	4	2	no	—
653	C₂²×C₁₁	—	4	1	no	—
654	C₂²×C₁₁	—	4	2	no	—
655	C₂²×C₁₁	—	4	2	no	—
656	C₂²×C₁₁	—	8	16	no	—
657	C₂²×C₁₁	#520	1	4	yes	—
658	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
659	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
660	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
661	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
662	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
663	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
664	C₂²×C₁₁	#585	1	1	yes	characteristic
665	C₄×C₁₁	—	2	2	no	—
666	C₄×C₁₁	—	2	2	no	—
667	C₄×C₁₁	—	2	4	no	—
668	C₄×C₁₁	—	2	2	no	—
669	C₄×C₁₁	—	2	2	no	—
670	C₄×C₁₁	—	2	4	no	—
671	C₄×C₁₁	—	2	2	no	—
672	C₄×C₁₁	—	4	1	no	—
673	C₄×C₁₁	—	4	1	no	—
674	C₄×C₁₁	—	4	1	no	—
675	C₄×C₁₁	—	4	1	no	—
676	C₄×C₁₁	—	4	2	no	—
677	C₄×C₁₁	—	4	1	no	—
678	C₄×C₁₁	—	4	2	no	—
679	C₄×C₁₁	—	4	2	no	—
680	C₄×C₁₁	—	4	1	no	—
681	C₄×C₁₁	—	4	2	no	—
682	C₄×C₁₁	—	4	1	no	—
683	C₄×C₁₁	#518	1	4	yes	—
684	C₂⁵	C₂³×C₁₁	1	2	yes	—
685	C₂×#41	—	4	2	no	—
686	C₂×#41	—	4	2	no	—
687	C₂×#41	C₂×C₄×C₁₁	1	8	yes	complemented
688	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
689	C₂²×D₄	—	4	2	no	—
690	C₂²×D₄	—	4	2	no	—
691	C₂²×D₄	C₂×C₄×C₁₁	1	8	yes	complemented
692	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
693	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
694	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
695	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
696	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
697	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
698	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
699	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
700	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
701	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
702	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
703	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
704	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
705	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
706	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
707	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
708	#124	C₂×C₄×C₁₁	1	8	yes	complemented
709	#123	C₂×C₄×C₁₁	1	16	yes	complemented
710	C₂²⋊Q₈	C₂×C₄×C₁₁	1	8	yes	complemented
711	#121	C₂×C₄×C₁₁	1	8	yes	complemented
712	#121	C₂×C₄×C₁₁	1	16	yes	complemented
713	#120	C₂×C₄×C₁₁	1	16	yes	complemented
714	C₄×Q₈	—	4	2	no	—
715	C₄×Q₈	—	4	2	no	—
716	C₄×D₄	—	4	4	no	—
717	C₄×D₄	—	4	2	no	—
718	C₄×D₄	—	4	2	no	—
719	C₄×D₄	—	4	4	no	—
720	C₄×D₄	C₂×C₄×C₁₁	1	8	yes	complemented
721	C₄×D₄	C₂×C₄×C₁₁	1	8	yes	complemented
722	#117	—	4	2	no	—
723	#117	—	4	4	no	—
724	C₂×C₄⋊C₄	—	4	2	no	—
725	C₂×C₄⋊C₄	—	4	2	no	—
726	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
727	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
728	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
729	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
730	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
731	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
732	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
733	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
734	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
735	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
736	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
737	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
738	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
739	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
740	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
741	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
742	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
743	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
744	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
745	C₂×C₂²⋊C₄	—	4	4	no	—
746	C₂×C₂²⋊C₄	—	4	4	no	—
747	C₂×C₂²⋊C₄	—	4	4	no	—
748	C₂×C₂²⋊C₄	C₂×C₄×C₁₁	1	16	yes	complemented
749	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
750	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
751	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
752	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
753	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
754	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
755	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
756	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
757	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
758	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
759	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
760	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
761	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
762	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
763	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
764	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
765	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
766	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
767	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
768	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
769	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
770	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
771	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
772	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
773	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
774	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
775	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
776	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
777	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
778	C₂×C₄²	—	4	2	no	—
779	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
780	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
781	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
782	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
783	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
784	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
785	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
786	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
787	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
788	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
789	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
790	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
791	#95	C₂³×C₁₁	1	1	yes	characteristic
792	#95	C₂³×C₁₁	1	1	yes	characteristic
793	#95	C₂³×C₁₁	1	1	yes	characteristic
794	#95	C₂³×C₁₁	1	1	yes	characteristic
795	#95	C₂³×C₁₁	1	2	yes	—
796	#95	C₂³×C₁₁	1	2	yes	—
797	#95	C₂³×C₁₁	1	2	yes	—
798	#95	C₂³×C₁₁	1	2	yes	—
799	#95	C₂³×C₁₁	1	1	yes	characteristic
800	#95	C₂³×C₁₁	1	1	yes	characteristic
801	#95	C₂³×C₁₁	1	1	yes	characteristic
802	#95	C₂³×C₁₁	1	1	yes	characteristic
803	#95	C₂³×C₁₁	1	1	yes	characteristic
804	#95	C₂³×C₁₁	1	2	yes	—
805	#95	C₂³×C₁₁	1	2	yes	—
806	#95	C₂³×C₁₁	1	2	yes	—
807	#95	C₂³×C₁₁	1	2	yes	—
808	#95	C₂³×C₁₁	1	2	yes	—
809	#95	C₂³×C₁₁	1	2	yes	—
810	#95	C₂³×C₁₁	1	2	yes	—
811	#95	C₂³×C₁₁	1	1	yes	characteristic
812	C₂×C₁₁	—	2	4	no	—
813	C₂×C₁₁	—	4	2	no	—
814	C₂×C₁₁	—	4	4	no	—
815	C₂×C₁₁	—	4	4	no	—
816	C₂×C₁₁	C₂×#518	1	1	yes	characteristic
817	C₂×C₁₁	C₂×#520	1	1	yes	characteristic
818	C₂×C₁₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
819	C₂×C₁₁	#3536	1	1	yes	characteristic
820	C₂×C₁₁	#3542	1	1	yes	characteristic
821	C₂×C₁₁	#3543	1	1	yes	characteristic
822	C₂×C₁₁	#3561	1	1	yes	characteristic
823	C₂⁴	—	2	4	no	—
824	C₂⁴	—	2	4	no	—
825	C₂⁴	—	4	2	no	—
826	C₂⁴	—	4	2	no	—
827	C₂⁴	—	4	2	no	—
828	C₂⁴	—	4	2	no	—
829	C₂⁴	C₂²×C₄×C₁₁	1	8	yes	—
830	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
831	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
832	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
833	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
834	#41	—	4	16	no	—
835	C₂×Q₈	—	2	2	no	—
836	C₂×Q₈	—	2	2	no	—
837	C₂×Q₈	C₂²×C₄×C₁₁	1	4	yes	—
838	C₂×D₄	—	2	2	no	—
839	C₂×D₄	—	2	2	no	—
840	C₂×D₄	—	2	2	no	—
841	C₂×D₄	—	2	2	no	—
842	C₂×D₄	—	2	2	no	—
843	C₂×D₄	—	2	2	no	—
844	C₂×D₄	—	4	16	no	—
845	C₂×D₄	—	4	2	no	—
846	C₂×D₄	—	4	2	no	—
847	C₂×D₄	—	4	2	no	—
848	C₂×D₄	—	4	2	no	—
849	C₂×D₄	—	4	2	no	—
850	C₂×D₄	—	4	2	no	—
851	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
852	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
853	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
854	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
855	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
856	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
857	C₂²×C₄	—	2	2	no	—
858	C₂²×C₄	—	2	2	no	—
859	C₂²×C₄	—	2	2	no	—
860	C₂²×C₄	—	2	2	no	—
861	C₂²×C₄	—	2	2	no	—
862	C₂²×C₄	—	2	2	no	—
863	C₂²×C₄	—	2	4	no	—
864	C₂²×C₄	—	2	2	no	—
865	C₂²×C₄	—	4	1	no	—
866	C₂²×C₄	—	4	1	no	—
867	C₂²×C₄	—	4	2	no	—
868	C₂²×C₄	—	4	2	no	—
869	C₂²×C₄	—	4	2	no	—
870	C₂²×C₄	—	4	2	no	—
871	C₂²×C₄	—	4	1	no	—
872	C₂²×C₄	—	4	2	no	—
873	C₂²×C₄	—	4	2	no	—
874	C₂²×C₄	—	4	2	no	—
875	C₂²×C₄	—	4	2	no	—
876	C₂²×C₄	—	4	2	no	—
877	C₂²×C₄	—	4	2	no	—
878	C₂²×C₄	—	4	2	no	—
879	C₂²×C₄	—	4	2	no	—
880	C₂²×C₄	—	4	2	no	—
881	C₂²×C₄	—	4	2	no	—
882	C₂²×C₄	—	4	2	no	—
883	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
884	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
885	C₂²×C₄	C₂²×C₄×C₁₁	1	8	yes	—
886	C₂²×C₄	C₂²×C₄×C₁₁	1	8	yes	—
887	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
888	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
889	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
890	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
891	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
892	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
893	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
894	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
895	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
896	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
897	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
898	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
899	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
900	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
901	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
902	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
903	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
904	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
905	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
906	C₄⋊C₄	—	2	2	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	4	2	no	—
912	C₄⋊C₄	—	4	2	no	—
913	C₄⋊C₄	—	4	2	no	—
914	C₄⋊C₄	—	4	1	no	—
915	C₄⋊C₄	—	4	1	no	—
916	C₄⋊C₄	—	4	2	no	—
917	C₄⋊C₄	—	4	2	no	—
918	C₄⋊C₄	—	4	2	no	—
919	C₄⋊C₄	—	4	2	no	—
920	C₄⋊C₄	—	4	1	no	—
921	C₄⋊C₄	—	4	2	no	—
922	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
923	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
924	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
925	C₂²⋊C₄	—	2	2	no	—
926	C₂²⋊C₄	—	2	4	no	—
927	C₂²⋊C₄	—	2	2	no	—
928	C₂²⋊C₄	—	2	4	no	—
929	C₂²⋊C₄	—	2	4	no	—
930	C₂²⋊C₄	—	2	2	no	—
931	C₂²⋊C₄	—	4	2	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	1	no	—
940	C₂²⋊C₄	—	4	1	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	—	4	2	no	—
946	C₂²⋊C₄	—	4	1	no	—
947	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
948	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
949	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
950	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
951	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
952	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
953	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
954	C₄²	—	2	2	no	—
955	C₄²	—	2	2	no	—
956	C₄²	—	2	4	no	—
957	C₄²	—	2	2	no	—
958	C₄²	—	2	2	no	—
959	C₄²	—	4	1	no	—
960	C₄²	—	4	1	no	—
961	C₄²	—	4	2	no	—
962	C₄²	—	4	2	no	—
963	C₄²	—	4	2	no	—
964	C₄²	—	4	2	no	—
965	C₄²	C₂²×C₄×C₁₁	1	4	yes	—
966	C₁₁	#34476	1	1	yes	characteristic, direct product factor, Sylow
967	C₂³	—	2	1	no	—
968	C₂³	—	2	1	no	—
969	C₂³	—	2	1	no	—
970	C₂³	—	2	1	no	—
971	C₂³	—	2	2	no	—
972	C₂³	—	2	2	no	—
973	C₂³	—	2	1	no	—
974	C₂³	—	2	2	no	—
975	C₂³	—	2	1	no	—
976	C₂³	—	2	1	no	—
977	C₂³	—	2	2	no	—
978	C₂³	—	2	2	no	—
979	C₂³	—	2	2	no	—
980	C₂³	—	2	1	no	—
981	C₂³	—	2	2	no	—
982	C₂³	—	2	2	no	—
983	C₂³	—	2	1	no	—
984	C₂³	—	2	2	no	—
985	C₂³	—	2	2	no	—
986	C₂³	—	2	2	no	—
987	C₂³	—	2	1	no	—
988	C₂³	—	2	2	no	—
989	C₂³	—	2	16	no	—
990	C₂³	—	4	8	no	—
991	C₂³	—	4	8	no	—
992	C₂³	—	8	4	no	—
993	C₂³	—	8	4	no	—
994	C₂³	—	8	4	no	—
995	C₂³	—	8	4	no	—
996	C₂³	C₂³×C₄×C₁₁	1	4	yes	—
997	C₂³	C₂³×C₄×C₁₁	1	4	yes	—
998	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
999	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
1000	C₂³	C₁₁×H(5,𝔽₂)	1	2	yes	—
1001	C₂³	C₁₁×2₋¹⁺⁴	1	2	yes	—
1002	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
1003	Q₈	—	2	8	no	—
1004	D₄	—	2	8	no	—
1005	D₄	—	2	8	no	—
1006	D₄	—	2	8	no	—
1007	D₄	—	4	8	no	—
1008	D₄	—	4	8	no	—
1009	D₄	—	4	8	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	2	1	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	8	no	—
1025	C₂×C₄	—	2	8	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	2	no	—
1036	C₂×C₄	—	2	2	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	4	8	no	—
1060	C₂×C₄	—	4	8	no	—
1061	C₂×C₄	—	4	4	no	—
1062	C₂×C₄	—	4	4	no	—
1063	C₂×C₄	—	8	4	no	—
1064	C₂×C₄	—	8	4	no	—
1065	C₂×C₄	—	8	4	no	—
1066	C₂×C₄	—	8	4	no	—
1067	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1068	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1069	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
1070	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1071	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
1072	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1073	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
1074	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
1075	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
1076	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
1077	C₂²	—	2	2	no	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	2	2	no	—
1080	C₂²	—	2	2	no	—
1081	C₂²	—	2	2	no	—
1082	C₂²	—	2	2	no	—
1083	C₂²	—	2	2	no	—
1084	C₂²	—	2	4	no	—
1085	C₂²	—	2	4	no	—
1086	C₂²	—	2	2	no	—
1087	C₂²	—	2	4	no	—
1088	C₂²	—	2	4	no	—
1089	C₂²	—	2	4	no	—
1090	C₂²	—	2	2	no	—
1091	C₂²	—	2	4	no	—
1092	C₂²	—	4	2	no	—
1093	C₂²	—	4	2	no	—
1094	C₂²	—	4	1	no	—
1095	C₂²	—	4	2	no	—
1096	C₂²	—	4	2	no	—
1097	C₂²	—	4	1	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	—	4	2	no	—
1100	C₂²	—	4	2	no	—
1101	C₂²	—	4	2	no	—
1102	C₂²	—	4	2	no	—
1103	C₂²	—	4	1	no	—
1104	C₂²	—	8	16	no	—
1105	C₂²	C₁₁×#520	1	4	yes	—
1106	C₂²	C₂⁴×C₄×C₁₁	1	1	yes	characteristic
1107	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1108	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1109	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1110	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1111	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
1112	C₂²	C₁₁×#585	1	1	yes	characteristic
1113	C₄	—	2	2	no	—
1114	C₄	—	2	2	no	—
1115	C₄	—	2	4	no	—
1116	C₄	—	2	2	no	—
1117	C₄	—	2	2	no	—
1118	C₄	—	2	4	no	—
1119	C₄	—	2	2	no	—
1120	C₄	—	4	1	no	—
1121	C₄	—	4	1	no	—
1122	C₄	—	4	1	no	—
1123	C₄	—	4	1	no	—
1124	C₄	—	4	1	no	—
1125	C₄	—	4	2	no	—
1126	C₄	—	4	2	no	—
1127	C₄	—	4	1	no	—
1128	C₄	—	4	2	no	—
1129	C₄	—	4	2	no	—
1130	C₄	—	4	1	no	—
1131	C₄	C₁₁×#518	1	4	yes	—
1132	C₂	—	2	4	no	—
1133	C₂	—	4	4	no	—
1134	C₂	—	4	4	no	—
1135	C₂	—	4	2	no	—
1136	C₂	C₂×C₁₁×#518	1	1	yes	characteristic
1137	C₂	C₂×C₁₁×#520	1	1	yes	characteristic
1138	C₂	C₄×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1139	C₂	C₁₁×#3536	1	1	yes	characteristic
1140	C₂	C₁₁×#3542	1	1	yes	characteristic
1141	C₂	C₁₁×#3543	1	1	yes	characteristic
1142	C₂	C₁₁×#3561	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×C₁₁×#546	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×#2376	C₂	semidirect
4. C₁₁×#2367	C₂	semidirect
5. C₁₁×#2361	C₂	semidirect
6. C₁₁×#2360	C₂	semidirect
7. C₁₁×#2358	C₂	semidirect
8. C₁₁×#2354	C₂	semidirect
9. D₄×C₁₁×C₄⋊C₄	C₂	semidirect
10. C₁₁×#2342	C₂	semidirect
11. C₁₁×#2341	C₂	semidirect
12. D₄×C₁₁×C₂²⋊C₄	C₂	semidirect
13. C₁₁×#2335	C₂	semidirect
14. C₁₁×#2326	C₂	semidirect
15. C₁₁×#2324	C₂	semidirect
16. C₁₁×#2324	C₂	semidirect
17. C₁₁×#2321	C₂	semidirect
18. C₁₁×#2319	C₂	semidirect
19. C₁₁×#2315	C₂	semidirect
20. C₁₁×#2311	C₂	semidirect
21. C₄×C₁₁×C₂²⋊Q₈	C₂	semidirect
22. C₂×C₁₁×#390	C₂	semidirect
23. C₁₁×#2290	C₂	semidirect
26. C₁₁×#546	C₄	semidirect
33. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
34. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
40. C₂×C₄×D₄×C₁₁	C₂²	semidirect
41. C₂×C₁₁×#117	C₂²	semidirect
42. C₂×C₁₁×#117	C₂²	semidirect
44. C₂²×C₁₁×C₄⋊C₄	C₂²	semidirect
50. C₁₁×#391	C₂²	semidirect
51. C₁₁×#391	C₂²	semidirect
60. C₁₁×#390	C₂²	semidirect
61. C₁₁×#390	C₂²	semidirect
62. C₁₁×#390	C₂²	semidirect
63. C₁₁×#389	C₂²	semidirect
64. C₁₁×#389	C₂²	semidirect
65. C₁₁×#389	C₂²	semidirect
66. C₁₁×#389	C₂²	semidirect
67. C₁₁×#388	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
82. C₁₁×#387	C₂²	semidirect
87. C₁₁×#386	C₂²	semidirect
88. C₁₁×#386	C₂²	semidirect
89. C₁₁×#386	C₂²	semidirect
90. C₁₁×#386	C₂²	semidirect
96. C₁₁×#385	C₂²	semidirect
97. C₁₁×#385	C₂²	semidirect
98. C₁₁×#385	C₂²	semidirect
99. C₁₁×#385	C₂²	semidirect
100. C₁₁×#385	C₂²	semidirect
101. C₁₁×#385	C₂²	semidirect
102. C₁₁×#384	C₂²	semidirect
103. C₁₁×#381	C₂²	semidirect
105. C₁₁×#380	C₂²	semidirect
106. C₁₁×#380	C₂²	semidirect
107. C₁₁×#380	C₂²	semidirect
108. C₁₁×#380	C₂²	semidirect
109. C₁₁×#380	C₂²	semidirect
110. C₁₁×#380	C₂²	semidirect
112. C₄×C₁₁×C₄⋊C₄	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
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
127. C₂×C₁₁×#41	C₂×C₄	semidirect
131. C₂²×D₄×C₁₁	C₂×C₄	semidirect
148. C₁₁×#124	C₂×C₄	semidirect
149. C₁₁×#123	C₂×C₄	semidirect
150. C₁₁×C₂²⋊Q₈	C₂×C₄	semidirect
151. C₁₁×#121	C₂×C₄	semidirect
152. C₁₁×#121	C₂×C₄	semidirect
153. C₁₁×#120	C₂×C₄	semidirect
160. C₄×D₄×C₁₁	C₂×C₄	semidirect
161. C₄×D₄×C₁₁	C₂×C₄	semidirect
188. C₂×C₁₁×C₂²⋊C₄	C₂×C₄	semidirect
252. #34476	C₁₁	direct (N × H)
397. #2377	C₂×C₁₁	semidirect
398. #2376	C₂×C₁₁	semidirect
399. #2367	C₂×C₁₁	semidirect
400. #2361	C₂×C₁₁	semidirect
401. #2360	C₂×C₁₁	semidirect
402. #2358	C₂×C₁₁	semidirect
403. #2354	C₂×C₁₁	semidirect
404. D₄×C₄⋊C₄	C₂×C₁₁	semidirect
405. #2342	C₂×C₁₁	semidirect
406. #2341	C₂×C₁₁	semidirect
407. D₄×C₂²⋊C₄	C₂×C₁₁	semidirect
408. #2335	C₂×C₁₁	semidirect
409. #2326	C₂×C₁₁	semidirect
410. #2324	C₂×C₁₁	semidirect
411. #2324	C₂×C₁₁	semidirect
412. #2321	C₂×C₁₁	semidirect
413. #2319	C₂×C₁₁	semidirect
414. #2315	C₂×C₁₁	semidirect
415. #2311	C₂×C₁₁	semidirect
416. C₄×C₂²⋊Q₈	C₂×C₁₁	semidirect
417. C₂×#390	C₂×C₁₁	semidirect
418. #2290	C₂×C₁₁	semidirect
531. #546	C₄×C₁₁	semidirect
538. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
539. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
545. C₂×C₄×D₄	C₂²×C₁₁	semidirect
546. C₂×#117	C₂²×C₁₁	semidirect
547. C₂×#117	C₂²×C₁₁	semidirect
549. C₂²×C₄⋊C₄	C₂²×C₁₁	semidirect
555. #391	C₂²×C₁₁	semidirect
556. #391	C₂²×C₁₁	semidirect
565. #390	C₂²×C₁₁	semidirect
566. #390	C₂²×C₁₁	semidirect
567. #390	C₂²×C₁₁	semidirect
568. #389	C₂²×C₁₁	semidirect
569. #389	C₂²×C₁₁	semidirect
570. #389	C₂²×C₁₁	semidirect
571. #389	C₂²×C₁₁	semidirect
572. #388	C₂²×C₁₁	semidirect
573. #388	C₂²×C₁₁	semidirect
574. #388	C₂²×C₁₁	semidirect
575. #388	C₂²×C₁₁	semidirect
576. #388	C₂²×C₁₁	semidirect
577. #388	C₂²×C₁₁	semidirect
578. #388	C₂²×C₁₁	semidirect
579. #388	C₂²×C₁₁	semidirect
580. #388	C₂²×C₁₁	semidirect
581. #388	C₂²×C₁₁	semidirect
582. #388	C₂²×C₁₁	semidirect
583. #388	C₂²×C₁₁	semidirect
584. #387	C₂²×C₁₁	semidirect
585. #387	C₂²×C₁₁	semidirect
586. #387	C₂²×C₁₁	semidirect
587. #387	C₂²×C₁₁	semidirect
592. #386	C₂²×C₁₁	semidirect
593. #386	C₂²×C₁₁	semidirect
594. #386	C₂²×C₁₁	semidirect
595. #386	C₂²×C₁₁	semidirect
601. #385	C₂²×C₁₁	semidirect
602. #385	C₂²×C₁₁	semidirect
603. #385	C₂²×C₁₁	semidirect
604. #385	C₂²×C₁₁	semidirect
605. #385	C₂²×C₁₁	semidirect
606. #385	C₂²×C₁₁	semidirect
607. #384	C₂²×C₁₁	semidirect
608. #381	C₂²×C₁₁	semidirect
610. #380	C₂²×C₁₁	semidirect
611. #380	C₂²×C₁₁	semidirect
612. #380	C₂²×C₁₁	semidirect
613. #380	C₂²×C₁₁	semidirect
614. #380	C₂²×C₁₁	semidirect
615. #380	C₂²×C₁₁	semidirect
617. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
618. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
619. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
620. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
621. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
625. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
626. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
627. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
628. #376	C₂²×C₁₁	semidirect
687. C₂×#41	C₂×C₄×C₁₁	semidirect
691. C₂²×D₄	C₂×C₄×C₁₁	semidirect
708. #124	C₂×C₄×C₁₁	semidirect
709. #123	C₂×C₄×C₁₁	semidirect
710. C₂²⋊Q₈	C₂×C₄×C₁₁	semidirect
711. #121	C₂×C₄×C₁₁	semidirect
712. #121	C₂×C₄×C₁₁	semidirect
713. #120	C₂×C₄×C₁₁	semidirect
720. C₄×D₄	C₂×C₄×C₁₁	semidirect
721. C₄×D₄	C₂×C₄×C₁₁	semidirect
748. C₂×C₂²⋊C₄	C₂×C₄×C₁₁	semidirect
966. C₁₁	#34476	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×C₁₁×#546	2
C₁₁×#2377	2
C₁₁×#2376	2
C₁₁×#2367	2
C₁₁×#2361	2
C₁₁×#2360	2
C₁₁×#2358	2
C₁₁×#2354	2
D₄×C₁₁×C₄⋊C₄	2
C₁₁×#2342	2
C₁₁×#2341	2
D₄×C₁₁×C₂²⋊C₄	2
C₁₁×#2335	2
C₁₁×#2326	2
C₁₁×#2324	2
C₁₁×#2321	2
C₁₁×#2319	2
C₁₁×#2315	2
C₁₁×#2311	2
C₄×C₁₁×C₂²⋊Q₈	2
C₂×C₁₁×#390	2
C₁₁×#2290	2
#34476	11

Subgroups — C11×#34476 #14611669

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#34476 #14611669