Subgroups — C₁₁×#60018 #14637211

Order 2816.

1824 conjugacy classes of subgroups.

The subgroup lattice has 858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2750	C₂	1	2	yes	maximal, complemented
2	C₁₁×#2724	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#2697	C₂	1	1	yes	maximal, characteristic
4	C₁₁×#2578	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2573	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2566	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#2534	C₂	1	1	yes	maximal, characteristic
8	C₁₁×#2530	C₂	1	2	yes	maximal, complemented
9	C₁₁×#2515	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2497	C₂	1	2	yes	maximal, complemented
11	C₁₁×#2480	C₂	1	2	yes	maximal, complemented
12	C₁₁×#2475	C₂	1	2	yes	maximal, complemented
13	C₁₁×#2466	C₂	1	2	yes	maximal, complemented
14	C₁₁×#2374	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2373	C₂	1	2	yes	maximal, complemented
16	C₁₁×#2358	C₂	1	1	yes	maximal, characteristic
17	C₁₁×#2342	C₂	1	2	yes	maximal, complemented
18	C₄×C₁₁×#123	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₁×#2290	C₂	1	2	yes	maximal, complemented
20	C₂×C₁₁×#126	C₂²	1	2	yes	—
21	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic, complemented
22	C₂×C₁₁×#123	C₂²	1	1	yes	characteristic
23	C₂×C₁₁×#123	C₂²	1	1	yes	characteristic
24	C₂×C₁₁×#120	C₂²	1	1	yes	characteristic
25	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
26	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
27	C₂×C₁₁×#117	C₂²	1	2	yes	—
28	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
29	C₂²×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
30	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic, complemented
31	C₁₁×#400	C₂²	1	2	yes	complemented
32	C₁₁×#400	C₂²	1	2	yes	complemented
33	C₁₁×#400	C₂²	1	2	yes	complemented
34	C₁₁×#400	C₂²	1	2	yes	complemented
35	C₁₁×#398	C₂²	1	2	yes	complemented
36	C₁₁×#397	C₂²	1	2	yes	—
37	C₁₁×#397	C₂²	1	2	yes	—
38	C₁₁×#397	C₂²	1	2	yes	—
39	C₁₁×#397	C₂²	1	2	yes	—
40	C₁₁×#397	C₂²	1	2	yes	complemented
41	C₁₁×#396	C₂²	1	2	yes	—
42	C₁₁×#396	C₂²	1	2	yes	—
43	C₁₁×#396	C₂²	1	2	yes	—
44	C₁₁×#396	C₂²	1	2	yes	complemented
45	C₁₁×#394	C₂²	1	2	yes	—
46	C₁₁×#394	C₂²	1	2	yes	—
47	C₁₁×#390	C₂²	1	1	yes	characteristic
48	C₁₁×#390	C₂²	1	1	yes	characteristic
49	C₁₁×#389	C₂²	1	2	yes	complemented
50	C₁₁×#389	C₂²	1	2	yes	complemented
51	C₁₁×#389	C₂²	1	2	yes	complemented
52	C₁₁×#388	C₂²	1	2	yes	—
53	C₁₁×#388	C₂²	1	2	yes	—
54	C₁₁×#388	C₂²	1	2	yes	—
55	C₁₁×#388	C₂²	1	2	yes	—
56	C₁₁×#388	C₂²	1	2	yes	—
57	C₁₁×#388	C₂²	1	2	yes	—
58	C₁₁×#388	C₂²	1	2	yes	—
59	C₁₁×#388	C₂²	1	2	yes	—
60	C₁₁×#388	C₂²	1	2	yes	—
61	C₁₁×#388	C₂²	1	2	yes	—
62	C₁₁×#388	C₂²	1	2	yes	complemented
63	C₁₁×#387	C₂²	1	2	yes	complemented
64	C₁₁×#387	C₂²	1	2	yes	complemented
65	C₁₁×#387	C₂²	1	2	yes	complemented
66	C₁₁×#387	C₂²	1	2	yes	complemented
67	C₁₁×#387	C₂²	1	2	yes	complemented
68	C₁₁×#387	C₂²	1	2	yes	complemented
69	C₁₁×#387	C₂²	1	2	yes	complemented
70	C₁₁×#387	C₂²	1	2	yes	complemented
71	C₁₁×#387	C₂²	1	2	yes	complemented
72	C₁₁×#386	C₂²	1	2	yes	—
73	C₁₁×#386	C₂²	1	2	yes	—
74	C₁₁×#386	C₂²	1	2	yes	—
75	C₁₁×#386	C₂²	1	1	yes	characteristic
76	C₁₁×#385	C₂²	1	2	yes	—
77	C₁₁×#385	C₂²	1	2	yes	—
78	C₁₁×#385	C₂²	1	2	yes	—
79	C₁₁×#385	C₂²	1	2	yes	—
80	C₁₁×#385	C₂²	1	2	yes	—
81	C₁₁×#385	C₂²	1	1	yes	characteristic, complemented
82	C₁₁×#385	C₂²	1	2	yes	complemented
83	C₁₁×#385	C₂²	1	2	yes	complemented
84	C₁₁×#384	C₂²	1	1	yes	characteristic, complemented
85	C₁₁×#383	C₂²	1	2	yes	complemented
86	C₁₁×#382	C₂²	1	1	yes	characteristic, complemented
87	C₁₁×#381	C₂²	1	2	yes	—
88	C₁₁×#381	C₂²	1	1	yes	characteristic
89	C₁₁×#381	C₂²	1	1	yes	characteristic, complemented
90	C₁₁×#380	C₂²	1	2	yes	—
91	C₁₁×#380	C₂²	1	2	yes	—
92	C₁₁×#380	C₂²	1	1	yes	characteristic
93	C₁₁×#379	C₂²	1	2	yes	—
94	C₁₁×#379	C₂²	1	1	yes	characteristic
95	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	complemented
96	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	complemented
97	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	complemented
98	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
99	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
100	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
101	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
102	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
103	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
104	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
105	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
106	C₁₁×#376	C₂²	1	2	yes	complemented
107	C₂⁵×C₁₁	C₂³	1	1	yes	characteristic
108	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
109	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
110	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
111	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
112	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
113	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
114	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
115	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
116	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
117	C₁₁×#126	—	2	8	no	—
118	C₁₁×#125	—	4	2	no	—
119	C₁₁×#123	—	2	4	no	—
120	C₁₁×#123	—	2	4	no	—
121	C₁₁×#120	—	2	4	no	—
122	C₄×D₄×C₁₁	—	2	8	no	—
123	C₄×D₄×C₁₁	—	4	2	no	—
124	C₁₁×#117	—	4	4	no	—
125	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
126	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
127	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
128	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
129	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
130	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
131	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
132	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
133	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
134	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
135	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
136	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
137	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
138	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
139	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
140	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
141	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
142	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
143	C₂×C₁₁×C₂²⋊C₄	—	2	8	no	—
144	C₂×C₁₁×C₂²⋊C₄	—	4	2	no	—
145	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
146	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
147	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
148	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
149	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
150	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
151	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
152	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
153	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
154	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
155	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
156	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
157	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
158	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
159	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
160	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
161	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
162	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
163	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
164	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
165	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
166	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
167	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
168	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
169	C₂×C₄²×C₁₁	—	4	2	no	—
170	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
171	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
172	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
173	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
174	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
175	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
176	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
177	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
178	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
179	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
180	C₁₁×#95	C₂³	1	2	yes	—
181	C₁₁×#95	C₂³	1	2	yes	—
182	C₁₁×#95	C₂³	1	2	yes	—
183	C₁₁×#95	C₂³	1	2	yes	—
184	C₁₁×#95	C₂³	1	2	yes	—
185	C₁₁×#95	C₂³	1	2	yes	—
186	C₁₁×#95	C₂³	1	2	yes	—
187	C₁₁×#95	C₂³	1	2	yes	—
188	C₁₁×#95	C₂³	1	2	yes	—
189	C₁₁×#95	C₂³	1	2	yes	—
190	C₁₁×#95	C₂³	1	2	yes	—
191	C₁₁×#95	C₂³	1	2	yes	—
192	C₁₁×#95	C₂³	1	2	yes	—
193	C₁₁×#95	C₂³	1	2	yes	—
194	C₁₁×#95	C₂³	1	2	yes	—
195	C₁₁×#95	C₂³	1	2	yes	—
196	C₁₁×#95	C₂³	1	2	yes	—
197	C₁₁×#95	C₂³	1	2	yes	—
198	C₁₁×#95	C₂³	1	2	yes	—
199	C₁₁×#95	C₂³	1	2	yes	—
200	C₁₁×#95	C₂³	1	2	yes	—
201	C₁₁×#95	C₂³	1	2	yes	—
202	C₁₁×#95	C₂³	1	2	yes	—
203	C₁₁×#95	C₂³	1	2	yes	—
204	C₁₁×#95	C₂³	1	2	yes	—
205	#60018	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
206	C₂⁴×C₁₁	—	2	4	no	—
207	C₂⁴×C₁₁	—	2	2	no	—
208	C₂⁴×C₁₁	—	4	1	no	—
209	C₂⁴×C₁₁	—	4	2	no	—
210	C₂⁴×C₁₁	—	4	1	no	—
211	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
212	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
213	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
214	C₂×D₄×C₁₁	—	2	4	no	—
215	C₂×D₄×C₁₁	—	2	4	no	—
216	C₂×D₄×C₁₁	—	4	1	no	—
217	C₂×D₄×C₁₁	—	4	1	no	—
218	C₂×D₄×C₁₁	—	4	2	no	—
219	C₂×D₄×C₁₁	#41	1	4	yes	—
220	C₂²×C₄×C₁₁	—	2	4	no	—
221	C₂²×C₄×C₁₁	—	2	2	no	—
222	C₂²×C₄×C₁₁	—	2	2	no	—
223	C₂²×C₄×C₁₁	—	2	4	no	—
224	C₂²×C₄×C₁₁	—	2	4	no	—
225	C₂²×C₄×C₁₁	—	2	2	no	—
226	C₂²×C₄×C₁₁	—	2	4	no	—
227	C₂²×C₄×C₁₁	—	2	2	no	—
228	C₂²×C₄×C₁₁	—	4	1	no	—
229	C₂²×C₄×C₁₁	—	4	1	no	—
230	C₂²×C₄×C₁₁	—	4	2	no	—
231	C₂²×C₄×C₁₁	—	4	2	no	—
232	C₂²×C₄×C₁₁	—	4	1	no	—
233	C₂²×C₄×C₁₁	—	4	1	no	—
234	C₂²×C₄×C₁₁	—	4	2	no	—
235	C₂²×C₄×C₁₁	—	4	2	no	—
236	C₂²×C₄×C₁₁	—	4	2	no	—
237	C₂²×C₄×C₁₁	—	4	1	no	—
238	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
239	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
240	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
241	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
242	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
243	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
244	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
245	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
246	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
247	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
248	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
249	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
250	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
251	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
252	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
253	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
254	C₁₁×C₄⋊C₄	—	2	4	no	—
255	C₁₁×C₄⋊C₄	—	2	4	no	—
256	C₁₁×C₄⋊C₄	—	2	4	no	—
257	C₁₁×C₄⋊C₄	—	2	4	no	—
258	C₁₁×C₄⋊C₄	—	2	4	no	—
259	C₁₁×C₄⋊C₄	—	2	4	no	—
260	C₁₁×C₄⋊C₄	—	2	4	no	—
261	C₁₁×C₄⋊C₄	—	4	2	no	—
262	C₁₁×C₄⋊C₄	—	4	2	no	—
263	C₁₁×C₄⋊C₄	—	4	2	no	—
264	C₁₁×C₄⋊C₄	—	4	2	no	—
265	C₁₁×C₄⋊C₄	—	4	2	no	—
266	C₁₁×C₄⋊C₄	—	4	2	no	—
267	C₁₁×C₄⋊C₄	—	4	2	no	—
268	C₁₁×C₄⋊C₄	—	4	1	no	—
269	C₁₁×C₄⋊C₄	—	4	1	no	—
270	C₁₁×C₄⋊C₄	—	4	1	no	—
271	C₁₁×C₄⋊C₄	—	4	2	no	—
272	C₁₁×C₂²⋊C₄	—	2	4	no	—
273	C₁₁×C₂²⋊C₄	—	2	2	no	—
274	C₁₁×C₂²⋊C₄	—	2	2	no	—
275	C₁₁×C₂²⋊C₄	—	2	2	no	—
276	C₁₁×C₂²⋊C₄	—	2	4	no	—
277	C₁₁×C₂²⋊C₄	—	2	4	no	—
278	C₁₁×C₂²⋊C₄	—	2	4	no	—
279	C₁₁×C₂²⋊C₄	—	2	4	no	—
280	C₁₁×C₂²⋊C₄	—	2	4	no	—
281	C₁₁×C₂²⋊C₄	—	2	4	no	—
282	C₁₁×C₂²⋊C₄	—	2	4	no	—
283	C₁₁×C₂²⋊C₄	—	2	4	no	—
284	C₁₁×C₂²⋊C₄	—	2	4	no	—
285	C₁₁×C₂²⋊C₄	—	4	2	no	—
286	C₁₁×C₂²⋊C₄	—	4	2	no	—
287	C₁₁×C₂²⋊C₄	—	4	2	no	—
288	C₁₁×C₂²⋊C₄	—	4	1	no	—
289	C₁₁×C₂²⋊C₄	—	4	2	no	—
290	C₁₁×C₂²⋊C₄	—	4	2	no	—
291	C₁₁×C₂²⋊C₄	—	4	2	no	—
292	C₁₁×C₂²⋊C₄	—	4	2	no	—
293	C₁₁×C₂²⋊C₄	—	4	1	no	—
294	C₁₁×C₂²⋊C₄	—	4	1	no	—
295	C₁₁×C₂²⋊C₄	#41	1	8	yes	—
296	C₄²×C₁₁	—	2	4	no	—
297	C₄²×C₁₁	—	2	4	no	—
298	C₄²×C₁₁	—	2	4	no	—
299	C₄²×C₁₁	—	2	2	no	—
300	C₄²×C₁₁	—	4	2	no	—
301	C₄²×C₁₁	—	4	1	no	—
302	C₄²×C₁₁	—	4	1	no	—
303	C₄²×C₁₁	—	4	2	no	—
304	C₄²×C₁₁	—	4	2	no	—
305	C₄²×C₁₁	—	4	2	no	—
306	#2750	C₂×C₁₁	1	2	yes	complemented
307	#2724	C₂×C₁₁	1	1	yes	characteristic, complemented
308	#2697	C₂×C₁₁	1	1	yes	characteristic
309	#2578	C₂×C₁₁	1	2	yes	complemented
310	#2573	C₂×C₁₁	1	2	yes	complemented
311	#2566	C₂×C₁₁	1	1	yes	characteristic, complemented
312	#2534	C₂×C₁₁	1	1	yes	characteristic
313	#2530	C₂×C₁₁	1	2	yes	complemented
314	#2515	C₂×C₁₁	1	2	yes	complemented
315	#2497	C₂×C₁₁	1	2	yes	complemented
316	#2480	C₂×C₁₁	1	2	yes	complemented
317	#2475	C₂×C₁₁	1	2	yes	complemented
318	#2466	C₂×C₁₁	1	2	yes	complemented
319	#2374	C₂×C₁₁	1	1	yes	characteristic, complemented
320	#2373	C₂×C₁₁	1	2	yes	complemented
321	#2358	C₂×C₁₁	1	1	yes	characteristic
322	#2342	C₂×C₁₁	1	2	yes	complemented
323	C₄×#123	C₂×C₁₁	1	1	yes	characteristic, complemented
324	#2290	C₂×C₁₁	1	2	yes	complemented
325	C₂³×C₁₁	—	2	2	no	—
326	C₂³×C₁₁	—	2	2	no	—
327	C₂³×C₁₁	—	2	2	no	—
328	C₂³×C₁₁	—	2	2	no	—
329	C₂³×C₁₁	—	2	2	no	—
330	C₂³×C₁₁	—	2	1	no	—
331	C₂³×C₁₁	—	2	1	no	—
332	C₂³×C₁₁	—	2	2	no	—
333	C₂³×C₁₁	—	2	2	no	—
334	C₂³×C₁₁	—	2	1	no	—
335	C₂³×C₁₁	—	2	2	no	—
336	C₂³×C₁₁	—	2	2	no	—
337	C₂³×C₁₁	—	2	2	no	—
338	C₂³×C₁₁	—	2	1	no	—
339	C₂³×C₁₁	—	4	8	no	—
340	C₂³×C₁₁	—	4	4	no	—
341	C₂³×C₁₁	—	8	2	no	—
342	C₂³×C₁₁	—	8	4	no	—
343	C₂³×C₁₁	—	8	2	no	—
344	C₂³×C₁₁	C₂×#41	1	2	yes	—
345	C₂³×C₁₁	C₂×#41	1	4	yes	—
346	C₂³×C₁₁	C₂×#41	1	2	yes	—
347	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
348	D₄×C₁₁	—	4	4	no	—
349	D₄×C₁₁	—	4	8	no	—
350	C₂×C₄×C₁₁	—	2	2	no	—
351	C₂×C₄×C₁₁	—	2	2	no	—
352	C₂×C₄×C₁₁	—	2	1	no	—
353	C₂×C₄×C₁₁	—	2	1	no	—
354	C₂×C₄×C₁₁	—	2	2	no	—
355	C₂×C₄×C₁₁	—	2	2	no	—
356	C₂×C₄×C₁₁	—	2	2	no	—
357	C₂×C₄×C₁₁	—	2	2	no	—
358	C₂×C₄×C₁₁	—	2	2	no	—
359	C₂×C₄×C₁₁	—	2	2	no	—
360	C₂×C₄×C₁₁	—	2	2	no	—
361	C₂×C₄×C₁₁	—	2	2	no	—
362	C₂×C₄×C₁₁	—	2	2	no	—
363	C₂×C₄×C₁₁	—	2	2	no	—
364	C₂×C₄×C₁₁	—	2	2	no	—
365	C₂×C₄×C₁₁	—	2	2	no	—
366	C₂×C₄×C₁₁	—	2	2	no	—
367	C₂×C₄×C₁₁	—	2	2	no	—
368	C₂×C₄×C₁₁	—	2	2	no	—
369	C₂×C₄×C₁₁	—	2	2	no	—
370	C₂×C₄×C₁₁	—	2	2	no	—
371	C₂×C₄×C₁₁	—	2	1	no	—
372	C₂×C₄×C₁₁	—	2	1	no	—
373	C₂×C₄×C₁₁	—	2	2	no	—
374	C₂×C₄×C₁₁	—	2	2	no	—
375	C₂×C₄×C₁₁	—	2	1	no	—
376	C₂×C₄×C₁₁	—	2	2	no	—
377	C₂×C₄×C₁₁	—	2	2	no	—
378	C₂×C₄×C₁₁	—	2	2	no	—
379	C₂×C₄×C₁₁	—	2	2	no	—
380	C₂×C₄×C₁₁	—	2	2	no	—
381	C₂×C₄×C₁₁	—	2	2	no	—
382	C₂×C₄×C₁₁	—	2	2	no	—
383	C₂×C₄×C₁₁	—	2	2	no	—
384	C₂×C₄×C₁₁	—	2	2	no	—
385	C₂×C₄×C₁₁	—	2	2	no	—
386	C₂×C₄×C₁₁	—	2	2	no	—
387	C₂×C₄×C₁₁	—	2	2	no	—
388	C₂×C₄×C₁₁	—	2	2	no	—
389	C₂×C₄×C₁₁	—	2	2	no	—
390	C₂×C₄×C₁₁	—	4	4	no	—
391	C₂×C₄×C₁₁	—	4	8	no	—
392	C₂×C₄×C₁₁	—	4	4	no	—
393	C₂×C₄×C₁₁	—	4	4	no	—
394	C₂×C₄×C₁₁	—	8	4	no	—
395	C₂×C₄×C₁₁	—	8	2	no	—
396	C₂×C₄×C₁₁	—	8	2	no	—
397	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
398	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
399	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
400	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
401	C₂×#126	C₂²×C₁₁	1	2	yes	—
402	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic, complemented
403	C₂×#123	C₂²×C₁₁	1	1	yes	characteristic
404	C₂×#123	C₂²×C₁₁	1	1	yes	characteristic
405	C₂×#120	C₂²×C₁₁	1	1	yes	characteristic
406	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
407	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
408	C₂×#117	C₂²×C₁₁	1	2	yes	—
409	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
410	C₂²×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
411	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic, complemented
412	#400	C₂²×C₁₁	1	2	yes	complemented
413	#400	C₂²×C₁₁	1	2	yes	complemented
414	#400	C₂²×C₁₁	1	2	yes	complemented
415	#400	C₂²×C₁₁	1	2	yes	complemented
416	#398	C₂²×C₁₁	1	2	yes	complemented
417	#397	C₂²×C₁₁	1	2	yes	—
418	#397	C₂²×C₁₁	1	2	yes	—
419	#397	C₂²×C₁₁	1	2	yes	—
420	#397	C₂²×C₁₁	1	2	yes	—
421	#397	C₂²×C₁₁	1	2	yes	complemented
422	#396	C₂²×C₁₁	1	2	yes	—
423	#396	C₂²×C₁₁	1	2	yes	—
424	#396	C₂²×C₁₁	1	2	yes	—
425	#396	C₂²×C₁₁	1	2	yes	complemented
426	#394	C₂²×C₁₁	1	2	yes	—
427	#394	C₂²×C₁₁	1	2	yes	—
428	#390	C₂²×C₁₁	1	1	yes	characteristic
429	#390	C₂²×C₁₁	1	1	yes	characteristic
430	#389	C₂²×C₁₁	1	2	yes	complemented
431	#389	C₂²×C₁₁	1	2	yes	complemented
432	#389	C₂²×C₁₁	1	2	yes	complemented
433	#388	C₂²×C₁₁	1	2	yes	—
434	#388	C₂²×C₁₁	1	2	yes	—
435	#388	C₂²×C₁₁	1	2	yes	—
436	#388	C₂²×C₁₁	1	2	yes	—
437	#388	C₂²×C₁₁	1	2	yes	—
438	#388	C₂²×C₁₁	1	2	yes	—
439	#388	C₂²×C₁₁	1	2	yes	—
440	#388	C₂²×C₁₁	1	2	yes	—
441	#388	C₂²×C₁₁	1	2	yes	—
442	#388	C₂²×C₁₁	1	2	yes	—
443	#388	C₂²×C₁₁	1	2	yes	complemented
444	#387	C₂²×C₁₁	1	2	yes	complemented
445	#387	C₂²×C₁₁	1	2	yes	complemented
446	#387	C₂²×C₁₁	1	2	yes	complemented
447	#387	C₂²×C₁₁	1	2	yes	complemented
448	#387	C₂²×C₁₁	1	2	yes	complemented
449	#387	C₂²×C₁₁	1	2	yes	complemented
450	#387	C₂²×C₁₁	1	2	yes	complemented
451	#387	C₂²×C₁₁	1	2	yes	complemented
452	#387	C₂²×C₁₁	1	2	yes	complemented
453	#386	C₂²×C₁₁	1	2	yes	—
454	#386	C₂²×C₁₁	1	2	yes	—
455	#386	C₂²×C₁₁	1	1	yes	characteristic
456	#386	C₂²×C₁₁	1	2	yes	—
457	#385	C₂²×C₁₁	1	2	yes	—
458	#385	C₂²×C₁₁	1	2	yes	—
459	#385	C₂²×C₁₁	1	2	yes	—
460	#385	C₂²×C₁₁	1	2	yes	—
461	#385	C₂²×C₁₁	1	2	yes	—
462	#385	C₂²×C₁₁	1	2	yes	complemented
463	#385	C₂²×C₁₁	1	1	yes	characteristic, complemented
464	#385	C₂²×C₁₁	1	2	yes	complemented
465	#384	C₂²×C₁₁	1	1	yes	characteristic, complemented
466	#383	C₂²×C₁₁	1	2	yes	complemented
467	#382	C₂²×C₁₁	1	1	yes	characteristic, complemented
468	#381	C₂²×C₁₁	1	1	yes	characteristic
469	#381	C₂²×C₁₁	1	2	yes	—
470	#381	C₂²×C₁₁	1	1	yes	characteristic, complemented
471	#380	C₂²×C₁₁	1	2	yes	—
472	#380	C₂²×C₁₁	1	2	yes	—
473	#380	C₂²×C₁₁	1	1	yes	characteristic
474	#379	C₂²×C₁₁	1	2	yes	—
475	#379	C₂²×C₁₁	1	1	yes	characteristic
476	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
477	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	complemented
478	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	complemented
479	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	complemented
480	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
481	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
482	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
483	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
484	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
485	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
486	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
487	#376	C₂²×C₁₁	1	2	yes	complemented
488	C₂²×C₁₁	—	2	4	no	—
489	C₂²×C₁₁	—	2	4	no	—
490	C₂²×C₁₁	—	2	4	no	—
491	C₂²×C₁₁	—	2	4	no	—
492	C₂²×C₁₁	—	2	2	no	—
493	C₂²×C₁₁	—	2	2	no	—
494	C₂²×C₁₁	—	2	4	no	—
495	C₂²×C₁₁	—	4	2	no	—
496	C₂²×C₁₁	—	4	1	no	—
497	C₂²×C₁₁	—	4	1	no	—
498	C₂²×C₁₁	—	4	2	no	—
499	C₂²×C₁₁	—	4	2	no	—
500	C₂²×C₁₁	—	4	2	no	—
501	C₂²×C₁₁	—	4	2	no	—
502	C₂²×C₁₁	—	4	1	no	—
503	C₂²×C₁₁	—	4	1	no	—
504	C₂²×C₁₁	—	4	2	no	—
505	C₂²×C₁₁	—	8	8	no	—
506	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
507	C₂²×C₁₁	C₂²×#41	1	2	yes	—
508	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
509	C₂²×C₁₁	#585	1	2	yes	—
510	C₂²×C₁₁	#585	1	1	yes	characteristic
511	C₄×C₁₁	—	2	4	no	—
512	C₄×C₁₁	—	2	2	no	—
513	C₄×C₁₁	—	2	4	no	—
514	C₄×C₁₁	—	2	2	no	—
515	C₄×C₁₁	—	4	2	no	—
516	C₄×C₁₁	—	4	2	no	—
517	C₄×C₁₁	—	4	2	no	—
518	C₄×C₁₁	—	4	1	no	—
519	C₄×C₁₁	—	4	2	no	—
520	C₄×C₁₁	—	4	2	no	—
521	C₄×C₁₁	—	4	2	no	—
522	C₄×C₁₁	—	4	2	no	—
523	C₄×C₁₁	—	4	2	no	—
524	C₄×C₁₁	—	4	2	no	—
525	C₄×C₁₁	—	4	1	no	—
526	C₄×C₁₁	—	4	1	no	—
527	C₂⁵	C₂³×C₁₁	1	1	yes	characteristic
528	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
529	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
530	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
531	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
532	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
533	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
534	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
535	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
536	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
537	#126	—	2	8	no	—
538	#125	—	4	2	no	—
539	#123	—	2	4	no	—
540	#123	—	2	4	no	—
541	#120	—	2	4	no	—
542	C₄×D₄	—	2	8	no	—
543	C₄×D₄	—	4	2	no	—
544	#117	—	4	4	no	—
545	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
546	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
547	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
548	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
549	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
550	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
551	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
552	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
553	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
554	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
555	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
556	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
557	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
558	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
559	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
560	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
561	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
562	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
563	C₂×C₂²⋊C₄	—	2	8	no	—
564	C₂×C₂²⋊C₄	—	4	2	no	—
565	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
566	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
567	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
568	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
569	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
570	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
571	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
572	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
573	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
574	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
575	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
576	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
577	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
578	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
579	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
580	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
581	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
582	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
583	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
584	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
585	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
586	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
587	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
588	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
589	C₂×C₄²	—	4	2	no	—
590	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
591	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
592	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
593	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
594	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
595	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
596	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
597	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
598	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
599	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
600	#95	C₂³×C₁₁	1	2	yes	—
601	#95	C₂³×C₁₁	1	2	yes	—
602	#95	C₂³×C₁₁	1	2	yes	—
603	#95	C₂³×C₁₁	1	2	yes	—
604	#95	C₂³×C₁₁	1	2	yes	—
605	#95	C₂³×C₁₁	1	2	yes	—
606	#95	C₂³×C₁₁	1	2	yes	—
607	#95	C₂³×C₁₁	1	2	yes	—
608	#95	C₂³×C₁₁	1	2	yes	—
609	#95	C₂³×C₁₁	1	2	yes	—
610	#95	C₂³×C₁₁	1	2	yes	—
611	#95	C₂³×C₁₁	1	2	yes	—
612	#95	C₂³×C₁₁	1	2	yes	—
613	#95	C₂³×C₁₁	1	2	yes	—
614	#95	C₂³×C₁₁	1	2	yes	—
615	#95	C₂³×C₁₁	1	2	yes	—
616	#95	C₂³×C₁₁	1	2	yes	—
617	#95	C₂³×C₁₁	1	2	yes	—
618	#95	C₂³×C₁₁	1	2	yes	—
619	#95	C₂³×C₁₁	1	2	yes	—
620	#95	C₂³×C₁₁	1	2	yes	—
621	#95	C₂³×C₁₁	1	2	yes	—
622	#95	C₂³×C₁₁	1	2	yes	—
623	#95	C₂³×C₁₁	1	2	yes	—
624	#95	C₂³×C₁₁	1	2	yes	—
625	C₂×C₁₁	—	4	2	no	—
626	C₂×C₁₁	—	4	4	no	—
627	C₂×C₁₁	—	4	2	no	—
628	C₂×C₁₁	#3475	1	2	yes	—
629	C₂×C₁₁	#3481	1	1	yes	characteristic
630	C₂×C₁₁	#3505	1	1	yes	characteristic
631	C₂×C₁₁	#3521	1	2	yes	—
632	C₂×C₁₁	#3533	1	1	yes	characteristic
633	C₂⁴	—	2	4	no	—
634	C₂⁴	—	2	2	no	—
635	C₂⁴	—	4	1	no	—
636	C₂⁴	—	4	2	no	—
637	C₂⁴	—	4	1	no	—
638	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
639	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
640	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
641	C₂×D₄	—	2	4	no	—
642	C₂×D₄	—	2	4	no	—
643	C₂×D₄	—	4	1	no	—
644	C₂×D₄	—	4	1	no	—
645	C₂×D₄	—	4	2	no	—
646	C₂×D₄	C₁₁×#41	1	4	yes	—
647	C₂²×C₄	—	2	4	no	—
648	C₂²×C₄	—	2	2	no	—
649	C₂²×C₄	—	2	2	no	—
650	C₂²×C₄	—	2	4	no	—
651	C₂²×C₄	—	2	4	no	—
652	C₂²×C₄	—	2	2	no	—
653	C₂²×C₄	—	2	4	no	—
654	C₂²×C₄	—	2	2	no	—
655	C₂²×C₄	—	4	1	no	—
656	C₂²×C₄	—	4	1	no	—
657	C₂²×C₄	—	4	2	no	—
658	C₂²×C₄	—	4	2	no	—
659	C₂²×C₄	—	4	1	no	—
660	C₂²×C₄	—	4	1	no	—
661	C₂²×C₄	—	4	2	no	—
662	C₂²×C₄	—	4	2	no	—
663	C₂²×C₄	—	4	2	no	—
664	C₂²×C₄	—	4	1	no	—
665	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
666	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
667	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
668	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
669	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
670	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
671	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
672	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
673	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
674	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
675	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
676	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
677	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
678	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
679	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
680	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
681	C₄⋊C₄	—	2	4	no	—
682	C₄⋊C₄	—	2	4	no	—
683	C₄⋊C₄	—	2	4	no	—
684	C₄⋊C₄	—	2	4	no	—
685	C₄⋊C₄	—	2	4	no	—
686	C₄⋊C₄	—	2	4	no	—
687	C₄⋊C₄	—	2	4	no	—
688	C₄⋊C₄	—	4	2	no	—
689	C₄⋊C₄	—	4	1	no	—
690	C₄⋊C₄	—	4	1	no	—
691	C₄⋊C₄	—	4	1	no	—
692	C₄⋊C₄	—	4	2	no	—
693	C₄⋊C₄	—	4	2	no	—
694	C₄⋊C₄	—	4	2	no	—
695	C₄⋊C₄	—	4	2	no	—
696	C₄⋊C₄	—	4	2	no	—
697	C₄⋊C₄	—	4	2	no	—
698	C₄⋊C₄	—	4	2	no	—
699	C₂²⋊C₄	—	2	4	no	—
700	C₂²⋊C₄	—	2	2	no	—
701	C₂²⋊C₄	—	2	2	no	—
702	C₂²⋊C₄	—	2	2	no	—
703	C₂²⋊C₄	—	2	4	no	—
704	C₂²⋊C₄	—	2	4	no	—
705	C₂²⋊C₄	—	2	4	no	—
706	C₂²⋊C₄	—	2	4	no	—
707	C₂²⋊C₄	—	2	4	no	—
708	C₂²⋊C₄	—	2	4	no	—
709	C₂²⋊C₄	—	2	4	no	—
710	C₂²⋊C₄	—	2	4	no	—
711	C₂²⋊C₄	—	2	4	no	—
712	C₂²⋊C₄	—	4	2	no	—
713	C₂²⋊C₄	—	4	2	no	—
714	C₂²⋊C₄	—	4	1	no	—
715	C₂²⋊C₄	—	4	1	no	—
716	C₂²⋊C₄	—	4	2	no	—
717	C₂²⋊C₄	—	4	2	no	—
718	C₂²⋊C₄	—	4	1	no	—
719	C₂²⋊C₄	—	4	2	no	—
720	C₂²⋊C₄	—	4	2	no	—
721	C₂²⋊C₄	—	4	2	no	—
722	C₂²⋊C₄	C₁₁×#41	1	8	yes	—
723	C₄²	—	2	4	no	—
724	C₄²	—	2	4	no	—
725	C₄²	—	2	4	no	—
726	C₄²	—	2	2	no	—
727	C₄²	—	4	2	no	—
728	C₄²	—	4	2	no	—
729	C₄²	—	4	1	no	—
730	C₄²	—	4	1	no	—
731	C₄²	—	4	2	no	—
732	C₄²	—	4	2	no	—
733	C₁₁	#60018	1	1	yes	characteristic, direct product factor, Sylow
734	C₂³	—	2	2	no	—
735	C₂³	—	2	2	no	—
736	C₂³	—	2	2	no	—
737	C₂³	—	2	2	no	—
738	C₂³	—	2	2	no	—
739	C₂³	—	2	1	no	—
740	C₂³	—	2	1	no	—
741	C₂³	—	2	2	no	—
742	C₂³	—	2	2	no	—
743	C₂³	—	2	1	no	—
744	C₂³	—	2	2	no	—
745	C₂³	—	2	2	no	—
746	C₂³	—	2	2	no	—
747	C₂³	—	2	1	no	—
748	C₂³	—	4	8	no	—
749	C₂³	—	4	4	no	—
750	C₂³	—	8	2	no	—
751	C₂³	—	8	4	no	—
752	C₂³	—	8	2	no	—
753	C₂³	C₂×C₁₁×#41	1	2	yes	—
754	C₂³	C₂×C₁₁×#41	1	4	yes	—
755	C₂³	C₂×C₁₁×#41	1	2	yes	—
756	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
757	D₄	—	4	4	no	—
758	D₄	—	4	8	no	—
759	C₂×C₄	—	2	2	no	—
760	C₂×C₄	—	2	2	no	—
761	C₂×C₄	—	2	1	no	—
762	C₂×C₄	—	2	1	no	—
763	C₂×C₄	—	2	2	no	—
764	C₂×C₄	—	2	2	no	—
765	C₂×C₄	—	2	2	no	—
766	C₂×C₄	—	2	2	no	—
767	C₂×C₄	—	2	2	no	—
768	C₂×C₄	—	2	2	no	—
769	C₂×C₄	—	2	2	no	—
770	C₂×C₄	—	2	2	no	—
771	C₂×C₄	—	2	2	no	—
772	C₂×C₄	—	2	2	no	—
773	C₂×C₄	—	2	2	no	—
774	C₂×C₄	—	2	2	no	—
775	C₂×C₄	—	2	2	no	—
776	C₂×C₄	—	2	2	no	—
777	C₂×C₄	—	2	2	no	—
778	C₂×C₄	—	2	2	no	—
779	C₂×C₄	—	2	2	no	—
780	C₂×C₄	—	2	1	no	—
781	C₂×C₄	—	2	1	no	—
782	C₂×C₄	—	2	2	no	—
783	C₂×C₄	—	2	2	no	—
784	C₂×C₄	—	2	1	no	—
785	C₂×C₄	—	2	2	no	—
786	C₂×C₄	—	2	2	no	—
787	C₂×C₄	—	2	2	no	—
788	C₂×C₄	—	2	2	no	—
789	C₂×C₄	—	2	2	no	—
790	C₂×C₄	—	2	2	no	—
791	C₂×C₄	—	2	2	no	—
792	C₂×C₄	—	2	2	no	—
793	C₂×C₄	—	2	2	no	—
794	C₂×C₄	—	2	2	no	—
795	C₂×C₄	—	2	2	no	—
796	C₂×C₄	—	2	2	no	—
797	C₂×C₄	—	2	2	no	—
798	C₂×C₄	—	2	2	no	—
799	C₂×C₄	—	4	4	no	—
800	C₂×C₄	—	4	8	no	—
801	C₂×C₄	—	4	4	no	—
802	C₂×C₄	—	4	4	no	—
803	C₂×C₄	—	8	4	no	—
804	C₂×C₄	—	8	2	no	—
805	C₂×C₄	—	8	2	no	—
806	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
807	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
808	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
809	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
810	C₂²	—	2	4	no	—
811	C₂²	—	2	4	no	—
812	C₂²	—	2	4	no	—
813	C₂²	—	2	4	no	—
814	C₂²	—	2	2	no	—
815	C₂²	—	2	2	no	—
816	C₂²	—	2	4	no	—
817	C₂²	—	4	2	no	—
818	C₂²	—	4	1	no	—
819	C₂²	—	4	1	no	—
820	C₂²	—	4	2	no	—
821	C₂²	—	4	2	no	—
822	C₂²	—	4	2	no	—
823	C₂²	—	4	2	no	—
824	C₂²	—	4	1	no	—
825	C₂²	—	4	1	no	—
826	C₂²	—	4	2	no	—
827	C₂²	—	8	8	no	—
828	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
829	C₂²	C₂²×C₁₁×#41	1	2	yes	—
830	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
831	C₂²	C₁₁×#585	1	2	yes	—
832	C₂²	C₁₁×#585	1	1	yes	characteristic
833	C₄	—	2	4	no	—
834	C₄	—	2	2	no	—
835	C₄	—	2	4	no	—
836	C₄	—	2	2	no	—
837	C₄	—	4	2	no	—
838	C₄	—	4	2	no	—
839	C₄	—	4	2	no	—
840	C₄	—	4	2	no	—
841	C₄	—	4	1	no	—
842	C₄	—	4	2	no	—
843	C₄	—	4	2	no	—
844	C₄	—	4	2	no	—
845	C₄	—	4	2	no	—
846	C₄	—	4	1	no	—
847	C₄	—	4	1	no	—
848	C₄	—	4	2	no	—
849	C₂	—	4	4	no	—
850	C₂	—	4	2	no	—
851	C₂	—	4	2	no	—
852	C₂	C₁₁×#3475	1	2	yes	—
853	C₂	C₁₁×#3481	1	1	yes	characteristic
854	C₂	C₁₁×#3505	1	1	yes	characteristic
855	C₂	C₁₁×#3521	1	2	yes	—
856	C₂	C₁₁×#3533	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂×C₁₁×#120	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×#2750	C₂	semidirect
2. C₁₁×#2724	C₂	semidirect
4. C₁₁×#2578	C₂	semidirect
5. C₁₁×#2573	C₂	semidirect
6. C₁₁×#2566	C₂	semidirect
8. C₁₁×#2530	C₂	semidirect
9. C₁₁×#2515	C₂	semidirect
10. C₁₁×#2497	C₂	semidirect
11. C₁₁×#2480	C₂	semidirect
12. C₁₁×#2475	C₂	semidirect
13. C₁₁×#2466	C₂	semidirect
14. C₁₁×#2374	C₂	semidirect
15. C₁₁×#2373	C₂	semidirect
17. C₁₁×#2342	C₂	semidirect
18. C₄×C₁₁×#123	C₂	semidirect
19. C₁₁×#2290	C₂	semidirect
21. C₂×C₁₁×#125	C₂²	semidirect
30. C₂²×C₄²×C₁₁	C₂²	semidirect
31. C₁₁×#400	C₂²	semidirect
32. C₁₁×#400	C₂²	semidirect
33. C₁₁×#400	C₂²	semidirect
34. C₁₁×#400	C₂²	semidirect
35. C₁₁×#398	C₂²	semidirect
40. C₁₁×#397	C₂²	semidirect
44. C₁₁×#396	C₂²	semidirect
49. C₁₁×#389	C₂²	semidirect
50. C₁₁×#389	C₂²	semidirect
51. C₁₁×#389	C₂²	semidirect
62. C₁₁×#388	C₂²	semidirect
63. C₁₁×#387	C₂²	semidirect
64. C₁₁×#387	C₂²	semidirect
65. C₁₁×#387	C₂²	semidirect
66. C₁₁×#387	C₂²	semidirect
67. C₁₁×#387	C₂²	semidirect
68. C₁₁×#387	C₂²	semidirect
69. C₁₁×#387	C₂²	semidirect
70. C₁₁×#387	C₂²	semidirect
71. C₁₁×#387	C₂²	semidirect
81. C₁₁×#385	C₂²	semidirect
82. C₁₁×#385	C₂²	semidirect
83. C₁₁×#385	C₂²	semidirect
84. C₁₁×#384	C₂²	semidirect
85. C₁₁×#383	C₂²	semidirect
86. C₁₁×#382	C₂²	semidirect
89. C₁₁×#381	C₂²	semidirect
95. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
96. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
97. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
98. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
104. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
105. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
106. C₁₁×#376	C₂²	semidirect
205. #60018	C₁₁	direct (N × H)
306. #2750	C₂×C₁₁	semidirect
307. #2724	C₂×C₁₁	semidirect
309. #2578	C₂×C₁₁	semidirect
310. #2573	C₂×C₁₁	semidirect
311. #2566	C₂×C₁₁	semidirect
313. #2530	C₂×C₁₁	semidirect
314. #2515	C₂×C₁₁	semidirect
315. #2497	C₂×C₁₁	semidirect
316. #2480	C₂×C₁₁	semidirect
317. #2475	C₂×C₁₁	semidirect
318. #2466	C₂×C₁₁	semidirect
319. #2374	C₂×C₁₁	semidirect
320. #2373	C₂×C₁₁	semidirect
322. #2342	C₂×C₁₁	semidirect
323. C₄×#123	C₂×C₁₁	semidirect
324. #2290	C₂×C₁₁	semidirect
402. C₂×#125	C₂²×C₁₁	semidirect
411. C₂²×C₄²	C₂²×C₁₁	semidirect
412. #400	C₂²×C₁₁	semidirect
413. #400	C₂²×C₁₁	semidirect
414. #400	C₂²×C₁₁	semidirect
415. #400	C₂²×C₁₁	semidirect
416. #398	C₂²×C₁₁	semidirect
421. #397	C₂²×C₁₁	semidirect
425. #396	C₂²×C₁₁	semidirect
430. #389	C₂²×C₁₁	semidirect
431. #389	C₂²×C₁₁	semidirect
432. #389	C₂²×C₁₁	semidirect
443. #388	C₂²×C₁₁	semidirect
444. #387	C₂²×C₁₁	semidirect
445. #387	C₂²×C₁₁	semidirect
446. #387	C₂²×C₁₁	semidirect
447. #387	C₂²×C₁₁	semidirect
448. #387	C₂²×C₁₁	semidirect
449. #387	C₂²×C₁₁	semidirect
450. #387	C₂²×C₁₁	semidirect
451. #387	C₂²×C₁₁	semidirect
452. #387	C₂²×C₁₁	semidirect
462. #385	C₂²×C₁₁	semidirect
463. #385	C₂²×C₁₁	semidirect
464. #385	C₂²×C₁₁	semidirect
465. #384	C₂²×C₁₁	semidirect
466. #383	C₂²×C₁₁	semidirect
467. #382	C₂²×C₁₁	semidirect
470. #381	C₂²×C₁₁	semidirect
476. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
477. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
478. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
479. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
485. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
486. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
487. #376	C₂²×C₁₁	semidirect
733. C₁₁	#60018	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×#2750	2
C₁₁×#2724	2
C₁₁×#2697	2
C₁₁×#2578	2
C₁₁×#2573	2
C₁₁×#2566	2
C₁₁×#2534	2
C₁₁×#2530	2
C₁₁×#2515	2
C₁₁×#2497	2
C₁₁×#2480	2
C₁₁×#2475	2
C₁₁×#2466	2
C₁₁×#2374	2
C₁₁×#2373	2
C₁₁×#2358	2
C₁₁×#2342	2
C₄×C₁₁×#123	2
C₁₁×#2290	2
#60018	11

Subgroups — C11×#60018 #14637211

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60018 #14637211