Subgroups — C₁₁×#36554 #14613747

Order 2816.

1640 conjugacy classes of subgroups.

The subgroup lattice has 904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2863	C₂	1	2	yes	maximal, complemented
2	C₁₁×#2863	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#2590	C₂	1	2	yes	maximal, complemented
4	C₁₁×#2589	C₂	1	2	yes	maximal
5	C₁₁×#2585	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2574	C₂	1	2	yes	maximal
7	C₁₁×#2522	C₂	1	2	yes	maximal
8	C₁₁×#2520	C₂	1	2	yes	maximal, complemented
9	C₁₁×#2507	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#2492	C₂	1	1	yes	maximal, characteristic
11	C₁₁×#2451	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#2446	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#2429	C₂	1	1	yes	maximal, characteristic
14	C₁₁×#2423	C₂	1	1	yes	maximal, characteristic
15	C₁₁×#2369	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2365	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#2360	C₂	1	1	yes	maximal, characteristic
18	C₁₁×#2360	C₂	1	1	yes	maximal, characteristic
19	C₁₁×#2355	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₁×#2345	C₂	1	1	yes	maximal, characteristic
21	C₄×C₁₁×#126	C₂	1	1	yes	maximal, characteristic
22	C₄×C₁₁×#126	C₂	1	2	yes	maximal
23	C₄²×Q₈×C₁₁	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₁₁×#126	C₂²	1	1	yes	characteristic
27	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
29	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
30	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
31	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
32	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
33	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
34	C₁₁×#400	C₂²	1	2	yes	—
35	C₁₁×#400	C₂²	1	2	yes	—
36	C₁₁×#399	C₂²	1	2	yes	—
37	C₁₁×#398	C₂²	1	2	yes	—
38	C₁₁×#398	C₂²	1	2	yes	—
39	C₁₁×#398	C₂²	1	2	yes	—
40	C₁₁×#398	C₂²	1	2	yes	—
41	C₁₁×#398	C₂²	1	2	yes	—
42	C₁₁×#398	C₂²	1	2	yes	—
43	C₁₁×#396	C₂²	1	2	yes	—
44	C₁₁×#395	C₂²	1	2	yes	—
45	C₁₁×#393	C₂²	1	2	yes	—
46	C₁₁×#391	C₂²	1	1	yes	characteristic
47	C₁₁×#391	C₂²	1	1	yes	characteristic
48	C₁₁×#391	C₂²	1	1	yes	characteristic
49	C₁₁×#391	C₂²	1	1	yes	characteristic
50	C₁₁×#391	C₂²	1	1	yes	characteristic
51	C₁₁×#391	C₂²	1	2	yes	—
52	C₁₁×#391	C₂²	1	2	yes	—
53	C₁₁×#391	C₂²	1	1	yes	characteristic
54	C₁₁×#391	C₂²	1	2	yes	—
55	C₁₁×#391	C₂²	1	2	yes	—
56	C₁₁×#389	C₂²	1	1	yes	characteristic
57	C₁₁×#389	C₂²	1	1	yes	characteristic
58	C₁₁×#389	C₂²	1	2	yes	—
59	C₁₁×#389	C₂²	1	1	yes	characteristic
60	C₁₁×#389	C₂²	1	1	yes	characteristic
61	C₁₁×#389	C₂²	1	1	yes	characteristic
62	C₁₁×#389	C₂²	1	2	yes	—
63	C₁₁×#389	C₂²	1	1	yes	characteristic
64	C₁₁×#389	C₂²	1	2	yes	—
65	C₁₁×#389	C₂²	1	2	yes	—
66	C₁₁×#389	C₂²	1	2	yes	—
67	C₁₁×#389	C₂²	1	2	yes	—
68	C₁₁×#388	C₂²	1	2	yes	—
69	C₁₁×#388	C₂²	1	2	yes	—
70	C₁₁×#388	C₂²	1	2	yes	—
71	C₁₁×#388	C₂²	1	1	yes	characteristic
72	C₁₁×#388	C₂²	1	1	yes	characteristic
73	C₁₁×#388	C₂²	1	1	yes	characteristic
74	C₁₁×#387	C₂²	1	2	yes	—
75	C₁₁×#387	C₂²	1	2	yes	—
76	C₁₁×#387	C₂²	1	2	yes	—
77	C₁₁×#387	C₂²	1	2	yes	—
78	C₁₁×#387	C₂²	1	2	yes	—
79	C₁₁×#387	C₂²	1	1	yes	characteristic
80	C₁₁×#387	C₂²	1	2	yes	—
81	C₁₁×#387	C₂²	1	2	yes	—
82	C₁₁×#387	C₂²	1	2	yes	—
83	C₁₁×#387	C₂²	1	2	yes	—
84	C₁₁×#387	C₂²	1	2	yes	—
85	C₁₁×#387	C₂²	1	2	yes	—
86	C₁₁×#387	C₂²	1	1	yes	characteristic
87	C₁₁×#387	C₂²	1	1	yes	characteristic
88	C₁₁×#387	C₂²	1	2	yes	—
89	C₁₁×#387	C₂²	1	2	yes	—
90	C₁₁×#387	C₂²	1	2	yes	—
91	C₁₁×#387	C₂²	1	2	yes	—
92	C₁₁×#387	C₂²	1	2	yes	—
93	C₁₁×#385	C₂²	1	2	yes	—
94	C₁₁×#385	C₂²	1	2	yes	—
95	C₁₁×#384	C₂²	1	1	yes	characteristic
96	C₁₁×#383	C₂²	1	1	yes	characteristic
97	C₁₁×#383	C₂²	1	2	yes	—
98	C₁₁×#382	C₂²	1	2	yes	—
99	C₁₁×#380	C₂²	1	1	yes	characteristic
100	C₁₁×#380	C₂²	1	2	yes	—
101	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
102	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
103	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
104	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
105	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
106	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
107	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
108	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
109	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
110	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
112	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
113	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
116	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
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	2	yes	—
121	C₄³×C₁₁	C₂²	1	2	yes	—
122	C₄³×C₁₁	C₂²	1	1	yes	characteristic
123	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
124	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
125	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
126	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
128	C₁₁×C₄⋊Q₈	—	2	4	no	—
129	C₁₁×C₄⋊Q₈	—	2	4	no	—
130	C₁₁×#126	Q₈	1	8	yes	complemented
131	C₁₁×C₂²⋊Q₈	—	2	4	no	—
132	C₁₁×C₂²⋊Q₈	—	2	4	no	—
133	C₄×Q₈×C₁₁	—	2	4	no	—
134	C₄×Q₈×C₁₁	—	2	4	no	—
135	C₄×Q₈×C₁₁	—	2	4	no	—
136	C₄×Q₈×C₁₁	—	2	4	no	—
137	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
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×C₄⋊C₄	C₂³	1	2	yes	—
144	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
145	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
146	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
147	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
148	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
149	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
150	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
151	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
152	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
153	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
154	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
155	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
156	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
157	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
158	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
159	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
160	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
161	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
162	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
163	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
164	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
165	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
166	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
167	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
168	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
169	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
172	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
173	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
174	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
175	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
176	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
181	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
182	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
183	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
184	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
185	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
186	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
187	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
188	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
189	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
190	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
191	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
193	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
194	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
195	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
196	C₁₁×#95	C₂³	1	1	yes	characteristic
197	C₁₁×#95	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
202	C₁₁×#95	C₂³	1	1	yes	characteristic
203	C₁₁×#95	C₂³	1	1	yes	characteristic
204	C₁₁×#95	C₂³	1	2	yes	—
205	C₁₁×#95	C₂³	1	2	yes	—
206	C₁₁×#95	C₂³	1	1	yes	characteristic
207	C₁₁×#95	C₂³	1	2	yes	—
208	C₁₁×#95	C₂³	1	2	yes	—
209	C₁₁×#95	C₂³	1	2	yes	—
210	C₁₁×#95	C₂³	1	2	yes	—
211	C₁₁×#95	C₂³	1	2	yes	—
212	C₁₁×#95	C₂³	1	2	yes	—
213	C₁₁×#95	C₂³	1	1	yes	characteristic
214	C₁₁×#95	C₂³	1	2	yes	—
215	C₁₁×#95	C₂³	1	2	yes	—
216	C₁₁×#95	C₂³	1	1	yes	characteristic
217	C₁₁×#95	C₂³	1	1	yes	characteristic
218	C₁₁×#95	C₂³	1	2	yes	—
219	C₁₁×#95	C₂³	1	1	yes	characteristic
220	C₁₁×#95	C₂³	1	1	yes	characteristic
221	C₁₁×#95	C₂³	1	2	yes	—
222	C₁₁×#95	C₂³	1	2	yes	—
223	C₁₁×#95	C₂³	1	2	yes	—
224	C₁₁×#95	C₂³	1	1	yes	characteristic
225	C₁₁×#95	C₂³	1	2	yes	—
226	C₁₁×#95	C₂³	1	2	yes	—
227	C₁₁×#95	C₂³	1	2	yes	—
228	C₁₁×#95	C₂³	1	2	yes	—
229	C₁₁×#95	C₂³	1	2	yes	—
230	C₁₁×#95	C₂³	1	2	yes	—
231	C₁₁×#95	C₂³	1	2	yes	—
232	#36554	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
233	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
234	C₂×Q₈×C₁₁	—	2	2	no	—
235	C₂×Q₈×C₁₁	—	2	2	no	—
236	C₂×Q₈×C₁₁	—	2	2	no	—
237	C₂×Q₈×C₁₁	—	2	2	no	—
238	C₂×Q₈×C₁₁	—	2	2	no	—
239	C₂×Q₈×C₁₁	—	2	4	no	—
240	C₂×Q₈×C₁₁	—	4	2	no	—
241	C₂×Q₈×C₁₁	—	4	2	no	—
242	C₂×Q₈×C₁₁	#41	1	4	yes	—
243	C₂²×C₄×C₁₁	—	2	2	no	—
244	C₂²×C₄×C₁₁	—	2	2	no	—
245	C₂²×C₄×C₁₁	—	2	2	no	—
246	C₂²×C₄×C₁₁	—	2	4	no	—
247	C₂²×C₄×C₁₁	—	4	2	no	—
248	C₂²×C₄×C₁₁	—	4	2	no	—
249	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
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	2	yes	—
254	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
255	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
256	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
257	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
258	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
259	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
260	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
261	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
262	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
263	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
264	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
265	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
266	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
267	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
268	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
269	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
270	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
271	C₁₁×C₄⋊C₄	—	2	4	no	—
272	C₁₁×C₄⋊C₄	—	2	2	no	—
273	C₁₁×C₄⋊C₄	—	2	4	no	—
274	C₁₁×C₄⋊C₄	—	2	4	no	—
275	C₁₁×C₄⋊C₄	—	2	4	no	—
276	C₁₁×C₄⋊C₄	—	2	2	no	—
277	C₁₁×C₄⋊C₄	—	2	4	no	—
278	C₁₁×C₄⋊C₄	—	2	2	no	—
279	C₁₁×C₄⋊C₄	—	2	4	no	—
280	C₁₁×C₄⋊C₄	—	2	4	no	—
281	C₁₁×C₄⋊C₄	—	2	4	no	—
282	C₁₁×C₄⋊C₄	—	2	4	no	—
283	C₁₁×C₄⋊C₄	—	2	4	no	—
284	C₁₁×C₄⋊C₄	—	2	2	no	—
285	C₁₁×C₄⋊C₄	—	4	1	no	—
286	C₁₁×C₄⋊C₄	—	4	1	no	—
287	C₁₁×C₄⋊C₄	—	4	2	no	—
288	C₁₁×C₄⋊C₄	—	4	2	no	—
289	C₁₁×C₄⋊C₄	—	4	2	no	—
290	C₁₁×C₄⋊C₄	—	4	1	no	—
291	C₁₁×C₄⋊C₄	—	4	2	no	—
292	C₁₁×C₄⋊C₄	—	4	2	no	—
293	C₁₁×C₄⋊C₄	—	4	2	no	—
294	C₁₁×C₄⋊C₄	—	4	2	no	—
295	C₁₁×C₄⋊C₄	—	4	2	no	—
296	C₁₁×C₄⋊C₄	C₂×Q₈	1	4	yes	—
297	C₁₁×C₄⋊C₄	C₂×Q₈	1	4	yes	—
298	C₁₁×C₄⋊C₄	C₂×Q₈	1	4	yes	—
299	C₁₁×C₄⋊C₄	#41	1	4	yes	—
300	C₁₁×C₄⋊C₄	#41	1	4	yes	—
301	C₁₁×C₂²⋊C₄	—	2	4	no	—
302	C₁₁×C₂²⋊C₄	—	2	4	no	—
303	C₁₁×C₂²⋊C₄	—	4	1	no	—
304	C₁₁×C₂²⋊C₄	—	4	1	no	—
305	C₁₁×C₂²⋊C₄	—	4	2	no	—
306	C₁₁×C₂²⋊C₄	—	4	1	no	—
307	C₁₁×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
308	C₁₁×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
309	C₁₁×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
310	C₄²×C₁₁	—	2	4	no	—
311	C₄²×C₁₁	—	2	4	no	—
312	C₄²×C₁₁	—	2	4	no	—
313	C₄²×C₁₁	—	2	2	no	—
314	C₄²×C₁₁	—	2	2	no	—
315	C₄²×C₁₁	—	2	2	no	—
316	C₄²×C₁₁	—	2	2	no	—
317	C₄²×C₁₁	—	2	4	no	—
318	C₄²×C₁₁	—	2	2	no	—
319	C₄²×C₁₁	—	2	2	no	—
320	C₄²×C₁₁	—	4	2	no	—
321	C₄²×C₁₁	—	4	2	no	—
322	C₄²×C₁₁	—	4	2	no	—
323	C₄²×C₁₁	—	4	1	no	—
324	C₄²×C₁₁	—	4	1	no	—
325	C₄²×C₁₁	—	4	1	no	—
326	C₄²×C₁₁	—	4	2	no	—
327	C₄²×C₁₁	—	4	2	no	—
328	C₄²×C₁₁	C₂×Q₈	1	4	yes	—
329	#2863	C₂×C₁₁	1	1	yes	characteristic, complemented
330	#2863	C₂×C₁₁	1	2	yes	complemented
331	#2590	C₂×C₁₁	1	2	yes	complemented
332	#2589	C₂×C₁₁	1	2	yes	—
333	#2585	C₂×C₁₁	1	2	yes	complemented
334	#2574	C₂×C₁₁	1	2	yes	—
335	#2522	C₂×C₁₁	1	2	yes	—
336	#2520	C₂×C₁₁	1	2	yes	complemented
337	#2507	C₂×C₁₁	1	1	yes	characteristic, complemented
338	#2492	C₂×C₁₁	1	1	yes	characteristic
339	#2451	C₂×C₁₁	1	1	yes	characteristic, complemented
340	#2446	C₂×C₁₁	1	1	yes	characteristic, complemented
341	#2429	C₂×C₁₁	1	1	yes	characteristic
342	#2423	C₂×C₁₁	1	1	yes	characteristic
343	#2369	C₂×C₁₁	1	1	yes	characteristic, complemented
344	#2365	C₂×C₁₁	1	1	yes	characteristic, complemented
345	#2360	C₂×C₁₁	1	1	yes	characteristic
346	#2360	C₂×C₁₁	1	1	yes	characteristic
347	#2355	C₂×C₁₁	1	1	yes	characteristic, complemented
348	#2345	C₂×C₁₁	1	1	yes	characteristic
349	C₄×#126	C₂×C₁₁	1	2	yes	—
350	C₄×#126	C₂×C₁₁	1	1	yes	characteristic
351	C₄²×Q₈	C₂×C₁₁	1	1	yes	characteristic, complemented
352	C₂³×C₁₁	—	2	1	no	—
353	C₂³×C₁₁	—	2	1	no	—
354	C₂³×C₁₁	—	2	1	no	—
355	C₂³×C₁₁	—	2	1	no	—
356	C₂³×C₁₁	—	2	1	no	—
357	C₂³×C₁₁	—	2	1	no	—
358	C₂³×C₁₁	C₂²×Q₈	1	2	yes	—
359	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
360	Q₈×C₁₁	—	2	8	no	—
361	Q₈×C₁₁	—	4	4	no	—
362	Q₈×C₁₁	—	8	4	no	—
363	C₂×C₄×C₁₁	—	2	1	no	—
364	C₂×C₄×C₁₁	—	2	1	no	—
365	C₂×C₄×C₁₁	—	2	1	no	—
366	C₂×C₄×C₁₁	—	2	1	no	—
367	C₂×C₄×C₁₁	—	2	1	no	—
368	C₂×C₄×C₁₁	—	2	1	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	1	no	—
374	C₂×C₄×C₁₁	—	2	1	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	1	no	—
381	C₂×C₄×C₁₁	—	2	1	no	—
382	C₂×C₄×C₁₁	—	2	1	no	—
383	C₂×C₄×C₁₁	—	2	1	no	—
384	C₂×C₄×C₁₁	—	2	2	no	—
385	C₂×C₄×C₁₁	—	2	1	no	—
386	C₂×C₄×C₁₁	—	2	1	no	—
387	C₂×C₄×C₁₁	—	2	2	no	—
388	C₂×C₄×C₁₁	—	2	1	no	—
389	C₂×C₄×C₁₁	—	2	2	no	—
390	C₂×C₄×C₁₁	—	2	2	no	—
391	C₂×C₄×C₁₁	—	2	1	no	—
392	C₂×C₄×C₁₁	—	2	1	no	—
393	C₂×C₄×C₁₁	—	2	1	no	—
394	C₂×C₄×C₁₁	—	2	2	no	—
395	C₂×C₄×C₁₁	—	2	2	no	—
396	C₂×C₄×C₁₁	—	2	2	no	—
397	C₂×C₄×C₁₁	—	2	1	no	—
398	C₂×C₄×C₁₁	—	2	1	no	—
399	C₂×C₄×C₁₁	—	2	1	no	—
400	C₂×C₄×C₁₁	—	2	2	no	—
401	C₂×C₄×C₁₁	—	2	1	no	—
402	C₂×C₄×C₁₁	—	2	1	no	—
403	C₂×C₄×C₁₁	—	2	2	no	—
404	C₂×C₄×C₁₁	—	2	1	no	—
405	C₂×C₄×C₁₁	—	2	2	no	—
406	C₂×C₄×C₁₁	—	2	2	no	—
407	C₂×C₄×C₁₁	—	2	1	no	—
408	C₂×C₄×C₁₁	—	2	1	no	—
409	C₂×C₄×C₁₁	—	2	2	no	—
410	C₂×C₄×C₁₁	—	2	1	no	—
411	C₂×C₄×C₁₁	—	2	1	no	—
412	C₂×C₄×C₁₁	—	2	1	no	—
413	C₂×C₄×C₁₁	—	2	2	no	—
414	C₂×C₄×C₁₁	—	2	2	no	—
415	C₂×C₄×C₁₁	—	2	2	no	—
416	C₂×C₄×C₁₁	—	2	1	no	—
417	C₂×C₄×C₁₁	—	4	4	no	—
418	C₂×C₄×C₁₁	—	8	4	no	—
419	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
420	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
421	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
422	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
423	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
424	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
425	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
426	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
427	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
428	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
429	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
430	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
431	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
432	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
433	C₂×#126	C₂²×C₁₁	1	1	yes	characteristic
434	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
435	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
436	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
437	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
438	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
439	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
440	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
441	#400	C₂²×C₁₁	1	2	yes	—
442	#400	C₂²×C₁₁	1	2	yes	—
443	#399	C₂²×C₁₁	1	2	yes	—
444	#398	C₂²×C₁₁	1	2	yes	—
445	#398	C₂²×C₁₁	1	2	yes	—
446	#398	C₂²×C₁₁	1	2	yes	—
447	#398	C₂²×C₁₁	1	2	yes	—
448	#398	C₂²×C₁₁	1	2	yes	—
449	#398	C₂²×C₁₁	1	2	yes	—
450	#396	C₂²×C₁₁	1	2	yes	—
451	#395	C₂²×C₁₁	1	2	yes	—
452	#393	C₂²×C₁₁	1	2	yes	—
453	#391	C₂²×C₁₁	1	2	yes	—
454	#391	C₂²×C₁₁	1	2	yes	—
455	#391	C₂²×C₁₁	1	2	yes	—
456	#391	C₂²×C₁₁	1	1	yes	characteristic
457	#391	C₂²×C₁₁	1	1	yes	characteristic
458	#391	C₂²×C₁₁	1	1	yes	characteristic
459	#391	C₂²×C₁₁	1	2	yes	—
460	#391	C₂²×C₁₁	1	1	yes	characteristic
461	#391	C₂²×C₁₁	1	1	yes	characteristic
462	#391	C₂²×C₁₁	1	1	yes	characteristic
463	#389	C₂²×C₁₁	1	2	yes	—
464	#389	C₂²×C₁₁	1	2	yes	—
465	#389	C₂²×C₁₁	1	2	yes	—
466	#389	C₂²×C₁₁	1	2	yes	—
467	#389	C₂²×C₁₁	1	2	yes	—
468	#389	C₂²×C₁₁	1	1	yes	characteristic
469	#389	C₂²×C₁₁	1	1	yes	characteristic
470	#389	C₂²×C₁₁	1	1	yes	characteristic
471	#389	C₂²×C₁₁	1	1	yes	characteristic
472	#389	C₂²×C₁₁	1	2	yes	—
473	#389	C₂²×C₁₁	1	1	yes	characteristic
474	#389	C₂²×C₁₁	1	1	yes	characteristic
475	#388	C₂²×C₁₁	1	1	yes	characteristic
476	#388	C₂²×C₁₁	1	2	yes	—
477	#388	C₂²×C₁₁	1	1	yes	characteristic
478	#388	C₂²×C₁₁	1	2	yes	—
479	#388	C₂²×C₁₁	1	2	yes	—
480	#388	C₂²×C₁₁	1	1	yes	characteristic
481	#387	C₂²×C₁₁	1	1	yes	characteristic
482	#387	C₂²×C₁₁	1	2	yes	—
483	#387	C₂²×C₁₁	1	1	yes	characteristic
484	#387	C₂²×C₁₁	1	2	yes	—
485	#387	C₂²×C₁₁	1	2	yes	—
486	#387	C₂²×C₁₁	1	1	yes	characteristic
487	#387	C₂²×C₁₁	1	2	yes	—
488	#387	C₂²×C₁₁	1	2	yes	—
489	#387	C₂²×C₁₁	1	2	yes	—
490	#387	C₂²×C₁₁	1	2	yes	—
491	#387	C₂²×C₁₁	1	2	yes	—
492	#387	C₂²×C₁₁	1	2	yes	—
493	#387	C₂²×C₁₁	1	2	yes	—
494	#387	C₂²×C₁₁	1	2	yes	—
495	#387	C₂²×C₁₁	1	2	yes	—
496	#387	C₂²×C₁₁	1	2	yes	—
497	#387	C₂²×C₁₁	1	2	yes	—
498	#387	C₂²×C₁₁	1	2	yes	—
499	#387	C₂²×C₁₁	1	2	yes	—
500	#385	C₂²×C₁₁	1	2	yes	—
501	#385	C₂²×C₁₁	1	2	yes	—
502	#384	C₂²×C₁₁	1	1	yes	characteristic
503	#383	C₂²×C₁₁	1	1	yes	characteristic
504	#383	C₂²×C₁₁	1	2	yes	—
505	#382	C₂²×C₁₁	1	2	yes	—
506	#380	C₂²×C₁₁	1	2	yes	—
507	#380	C₂²×C₁₁	1	1	yes	characteristic
508	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
509	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
510	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
511	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
512	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
513	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
514	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
515	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
516	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
517	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
518	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
519	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
520	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
521	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
522	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
523	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
524	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
525	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
526	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
527	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
528	C₄³	C₂²×C₁₁	1	2	yes	—
529	C₄³	C₂²×C₁₁	1	1	yes	characteristic
530	C₂²×C₁₁	—	2	2	no	—
531	C₂²×C₁₁	—	2	2	no	—
532	C₂²×C₁₁	—	2	2	no	—
533	C₂²×C₁₁	—	4	1	no	—
534	C₂²×C₁₁	—	4	1	no	—
535	C₂²×C₁₁	—	4	1	no	—
536	C₂²×C₁₁	—	4	1	no	—
537	C₂²×C₁₁	C₂³×Q₈	1	1	yes	characteristic
538	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
539	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
540	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
541	C₂²×C₁₁	#585	1	1	yes	characteristic
542	C₂²×C₁₁	#585	1	1	yes	characteristic
543	C₂²×C₁₁	#585	1	1	yes	characteristic
544	C₄×C₁₁	—	2	4	no	—
545	C₄×C₁₁	—	2	2	no	—
546	C₄×C₁₁	—	2	2	no	—
547	C₄×C₁₁	—	2	2	no	—
548	C₄×C₁₁	—	2	2	no	—
549	C₄×C₁₁	—	2	2	no	—
550	C₄×C₁₁	—	2	2	no	—
551	C₄×C₁₁	—	2	4	no	—
552	C₄×C₁₁	—	2	4	no	—
553	C₄×C₁₁	—	4	1	no	—
554	C₄×C₁₁	—	4	2	no	—
555	C₄×C₁₁	—	4	1	no	—
556	C₄×C₁₁	—	4	1	no	—
557	C₄×C₁₁	—	4	1	no	—
558	C₄×C₁₁	—	4	2	no	—
559	C₄×C₁₁	—	4	2	no	—
560	C₄×C₁₁	—	4	1	no	—
561	C₄×C₁₁	—	4	2	no	—
562	C₄×C₁₁	—	4	1	no	—
563	C₄×C₁₁	—	4	1	no	—
564	C₄×C₁₁	—	4	2	no	—
565	C₄×C₁₁	#529	1	4	yes	—
566	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
567	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
568	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
569	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
570	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
571	C₄⋊Q₈	—	2	4	no	—
572	C₄⋊Q₈	—	2	4	no	—
573	#126	Q₈×C₁₁	1	8	yes	complemented
574	C₂²⋊Q₈	—	2	4	no	—
575	C₂²⋊Q₈	—	2	4	no	—
576	C₄×Q₈	—	2	4	no	—
577	C₄×Q₈	—	2	4	no	—
578	C₄×Q₈	—	2	4	no	—
579	C₄×Q₈	—	2	4	no	—
580	C₂×C₄⋊C₄	—	2	4	no	—
581	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
582	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
583	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
584	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
585	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
586	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
587	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
588	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
589	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
590	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
591	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
592	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
593	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
594	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
595	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
596	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
597	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
598	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
599	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
600	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
601	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
602	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
603	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
604	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
605	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
606	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
607	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
608	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
609	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
610	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
611	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
612	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
613	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
614	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
615	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
616	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
617	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
618	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
619	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
620	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
621	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
622	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
623	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
624	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
625	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
626	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
627	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
628	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
629	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
630	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
631	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
632	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
633	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
634	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
635	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
636	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
637	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
638	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
639	#95	C₂³×C₁₁	1	1	yes	characteristic
640	#95	C₂³×C₁₁	1	1	yes	characteristic
641	#95	C₂³×C₁₁	1	2	yes	—
642	#95	C₂³×C₁₁	1	2	yes	—
643	#95	C₂³×C₁₁	1	2	yes	—
644	#95	C₂³×C₁₁	1	1	yes	characteristic
645	#95	C₂³×C₁₁	1	1	yes	characteristic
646	#95	C₂³×C₁₁	1	1	yes	characteristic
647	#95	C₂³×C₁₁	1	2	yes	—
648	#95	C₂³×C₁₁	1	2	yes	—
649	#95	C₂³×C₁₁	1	1	yes	characteristic
650	#95	C₂³×C₁₁	1	2	yes	—
651	#95	C₂³×C₁₁	1	2	yes	—
652	#95	C₂³×C₁₁	1	2	yes	—
653	#95	C₂³×C₁₁	1	2	yes	—
654	#95	C₂³×C₁₁	1	2	yes	—
655	#95	C₂³×C₁₁	1	2	yes	—
656	#95	C₂³×C₁₁	1	1	yes	characteristic
657	#95	C₂³×C₁₁	1	2	yes	—
658	#95	C₂³×C₁₁	1	2	yes	—
659	#95	C₂³×C₁₁	1	1	yes	characteristic
660	#95	C₂³×C₁₁	1	1	yes	characteristic
661	#95	C₂³×C₁₁	1	2	yes	—
662	#95	C₂³×C₁₁	1	1	yes	characteristic
663	#95	C₂³×C₁₁	1	1	yes	characteristic
664	#95	C₂³×C₁₁	1	2	yes	—
665	#95	C₂³×C₁₁	1	2	yes	—
666	#95	C₂³×C₁₁	1	2	yes	—
667	#95	C₂³×C₁₁	1	1	yes	characteristic
668	#95	C₂³×C₁₁	1	2	yes	—
669	#95	C₂³×C₁₁	1	2	yes	—
670	#95	C₂³×C₁₁	1	2	yes	—
671	#95	C₂³×C₁₁	1	2	yes	—
672	#95	C₂³×C₁₁	1	2	yes	—
673	#95	C₂³×C₁₁	1	2	yes	—
674	#95	C₂³×C₁₁	1	2	yes	—
675	C₂×C₁₁	—	4	2	no	—
676	C₂×C₁₁	C₂×#529	1	1	yes	characteristic
677	C₂×C₁₁	Q₈×#41	1	1	yes	characteristic
678	C₂×C₁₁	Q₈×#41	1	1	yes	characteristic
679	C₂×C₁₁	Q₈×#41	1	1	yes	characteristic
680	C₂×C₁₁	#3521	1	1	yes	characteristic
681	C₂×C₁₁	#3521	1	1	yes	characteristic
682	C₂×C₁₁	#3524	1	1	yes	characteristic
683	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
684	C₂×Q₈	—	2	2	no	—
685	C₂×Q₈	—	2	2	no	—
686	C₂×Q₈	—	2	2	no	—
687	C₂×Q₈	—	2	2	no	—
688	C₂×Q₈	—	2	2	no	—
689	C₂×Q₈	—	2	4	no	—
690	C₂×Q₈	—	4	2	no	—
691	C₂×Q₈	—	4	2	no	—
692	C₂×Q₈	C₁₁×#41	1	4	yes	—
693	C₂²×C₄	—	2	2	no	—
694	C₂²×C₄	—	2	2	no	—
695	C₂²×C₄	—	2	2	no	—
696	C₂²×C₄	—	2	4	no	—
697	C₂²×C₄	—	4	2	no	—
698	C₂²×C₄	—	4	2	no	—
699	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
700	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
701	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
702	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
703	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
704	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
705	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
706	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
707	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
708	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
709	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
710	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
711	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
712	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
713	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
714	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
715	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
716	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
717	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
718	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
719	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
720	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
721	C₄⋊C₄	—	2	4	no	—
722	C₄⋊C₄	—	2	2	no	—
723	C₄⋊C₄	—	2	4	no	—
724	C₄⋊C₄	—	2	4	no	—
725	C₄⋊C₄	—	2	4	no	—
726	C₄⋊C₄	—	2	2	no	—
727	C₄⋊C₄	—	2	4	no	—
728	C₄⋊C₄	—	2	2	no	—
729	C₄⋊C₄	—	2	4	no	—
730	C₄⋊C₄	—	2	4	no	—
731	C₄⋊C₄	—	2	4	no	—
732	C₄⋊C₄	—	2	4	no	—
733	C₄⋊C₄	—	2	4	no	—
734	C₄⋊C₄	—	2	2	no	—
735	C₄⋊C₄	—	4	1	no	—
736	C₄⋊C₄	—	4	1	no	—
737	C₄⋊C₄	—	4	2	no	—
738	C₄⋊C₄	—	4	2	no	—
739	C₄⋊C₄	—	4	2	no	—
740	C₄⋊C₄	—	4	1	no	—
741	C₄⋊C₄	—	4	2	no	—
742	C₄⋊C₄	—	4	2	no	—
743	C₄⋊C₄	—	4	2	no	—
744	C₄⋊C₄	—	4	2	no	—
745	C₄⋊C₄	—	4	2	no	—
746	C₄⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
747	C₄⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
748	C₄⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
749	C₄⋊C₄	C₁₁×#41	1	4	yes	—
750	C₄⋊C₄	C₁₁×#41	1	4	yes	—
751	C₂²⋊C₄	—	2	4	no	—
752	C₂²⋊C₄	—	2	4	no	—
753	C₂²⋊C₄	—	4	1	no	—
754	C₂²⋊C₄	—	4	1	no	—
755	C₂²⋊C₄	—	4	2	no	—
756	C₂²⋊C₄	—	4	1	no	—
757	C₂²⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
758	C₂²⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
759	C₂²⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
760	C₄²	—	2	4	no	—
761	C₄²	—	2	4	no	—
762	C₄²	—	2	4	no	—
763	C₄²	—	2	2	no	—
764	C₄²	—	2	2	no	—
765	C₄²	—	2	2	no	—
766	C₄²	—	2	2	no	—
767	C₄²	—	2	4	no	—
768	C₄²	—	2	2	no	—
769	C₄²	—	2	2	no	—
770	C₄²	—	4	2	no	—
771	C₄²	—	4	2	no	—
772	C₄²	—	4	2	no	—
773	C₄²	—	4	1	no	—
774	C₄²	—	4	1	no	—
775	C₄²	—	4	1	no	—
776	C₄²	—	4	2	no	—
777	C₄²	—	4	2	no	—
778	C₄²	C₂×Q₈×C₁₁	1	4	yes	—
779	C₁₁	#36554	1	1	yes	characteristic, direct product factor, Sylow
780	C₂³	—	2	1	no	—
781	C₂³	—	2	1	no	—
782	C₂³	—	2	1	no	—
783	C₂³	—	2	1	no	—
784	C₂³	—	2	1	no	—
785	C₂³	—	2	1	no	—
786	C₂³	C₂²×Q₈×C₁₁	1	2	yes	—
787	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
788	Q₈	—	2	8	no	—
789	Q₈	—	4	4	no	—
790	Q₈	—	8	4	no	—
791	C₂×C₄	—	2	1	no	—
792	C₂×C₄	—	2	1	no	—
793	C₂×C₄	—	2	1	no	—
794	C₂×C₄	—	2	1	no	—
795	C₂×C₄	—	2	1	no	—
796	C₂×C₄	—	2	1	no	—
797	C₂×C₄	—	2	2	no	—
798	C₂×C₄	—	2	2	no	—
799	C₂×C₄	—	2	1	no	—
800	C₂×C₄	—	2	1	no	—
801	C₂×C₄	—	2	1	no	—
802	C₂×C₄	—	2	1	no	—
803	C₂×C₄	—	2	1	no	—
804	C₂×C₄	—	2	2	no	—
805	C₂×C₄	—	2	2	no	—
806	C₂×C₄	—	2	2	no	—
807	C₂×C₄	—	2	2	no	—
808	C₂×C₄	—	2	1	no	—
809	C₂×C₄	—	2	1	no	—
810	C₂×C₄	—	2	1	no	—
811	C₂×C₄	—	2	1	no	—
812	C₂×C₄	—	2	2	no	—
813	C₂×C₄	—	2	1	no	—
814	C₂×C₄	—	2	1	no	—
815	C₂×C₄	—	2	2	no	—
816	C₂×C₄	—	2	1	no	—
817	C₂×C₄	—	2	2	no	—
818	C₂×C₄	—	2	2	no	—
819	C₂×C₄	—	2	1	no	—
820	C₂×C₄	—	2	1	no	—
821	C₂×C₄	—	2	1	no	—
822	C₂×C₄	—	2	2	no	—
823	C₂×C₄	—	2	2	no	—
824	C₂×C₄	—	2	2	no	—
825	C₂×C₄	—	2	1	no	—
826	C₂×C₄	—	2	1	no	—
827	C₂×C₄	—	2	1	no	—
828	C₂×C₄	—	2	2	no	—
829	C₂×C₄	—	2	1	no	—
830	C₂×C₄	—	2	1	no	—
831	C₂×C₄	—	2	2	no	—
832	C₂×C₄	—	2	1	no	—
833	C₂×C₄	—	2	2	no	—
834	C₂×C₄	—	2	2	no	—
835	C₂×C₄	—	2	1	no	—
836	C₂×C₄	—	2	1	no	—
837	C₂×C₄	—	2	2	no	—
838	C₂×C₄	—	2	1	no	—
839	C₂×C₄	—	2	1	no	—
840	C₂×C₄	—	2	1	no	—
841	C₂×C₄	—	2	2	no	—
842	C₂×C₄	—	2	2	no	—
843	C₂×C₄	—	2	2	no	—
844	C₂×C₄	—	2	1	no	—
845	C₂×C₄	—	4	4	no	—
846	C₂×C₄	—	8	4	no	—
847	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
848	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
849	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
850	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
851	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
852	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
853	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
854	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
855	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
856	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
857	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
858	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
859	C₂²	—	2	2	no	—
860	C₂²	—	2	2	no	—
861	C₂²	—	2	2	no	—
862	C₂²	—	4	1	no	—
863	C₂²	—	4	1	no	—
864	C₂²	—	4	1	no	—
865	C₂²	—	4	1	no	—
866	C₂²	C₂³×Q₈×C₁₁	1	1	yes	characteristic
867	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
868	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
869	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
870	C₂²	C₁₁×#585	1	1	yes	characteristic
871	C₂²	C₁₁×#585	1	1	yes	characteristic
872	C₂²	C₁₁×#585	1	1	yes	characteristic
873	C₄	—	2	4	no	—
874	C₄	—	2	2	no	—
875	C₄	—	2	2	no	—
876	C₄	—	2	2	no	—
877	C₄	—	2	2	no	—
878	C₄	—	2	2	no	—
879	C₄	—	2	2	no	—
880	C₄	—	2	4	no	—
881	C₄	—	2	4	no	—
882	C₄	—	4	1	no	—
883	C₄	—	4	2	no	—
884	C₄	—	4	2	no	—
885	C₄	—	4	1	no	—
886	C₄	—	4	2	no	—
887	C₄	—	4	1	no	—
888	C₄	—	4	1	no	—
889	C₄	—	4	1	no	—
890	C₄	—	4	2	no	—
891	C₄	—	4	1	no	—
892	C₄	—	4	1	no	—
893	C₄	—	4	2	no	—
894	C₄	C₁₁×#529	1	4	yes	—
895	C₂	—	4	2	no	—
896	C₂	C₂×C₁₁×#529	1	1	yes	characteristic
897	C₂	Q₈×C₁₁×#41	1	1	yes	characteristic
898	C₂	Q₈×C₁₁×#41	1	1	yes	characteristic
899	C₂	Q₈×C₁₁×#41	1	1	yes	characteristic
900	C₂	C₁₁×#3521	1	1	yes	characteristic
901	C₂	C₁₁×#3521	1	1	yes	characteristic
902	C₂	C₁₁×#3524	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂⁴×C₁₁	C₂⁴
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×#2863	C₂	semidirect
2. C₁₁×#2863	C₂	semidirect
3. C₁₁×#2590	C₂	semidirect
5. C₁₁×#2585	C₂	semidirect
8. C₁₁×#2520	C₂	semidirect
9. C₁₁×#2507	C₂	semidirect
11. C₁₁×#2451	C₂	semidirect
12. C₁₁×#2446	C₂	semidirect
15. C₁₁×#2369	C₂	semidirect
16. C₁₁×#2365	C₂	semidirect
19. C₁₁×#2355	C₂	semidirect
23. C₄²×Q₈×C₁₁	C₂	semidirect
130. C₁₁×#126	Q₈	semidirect
232. #36554	C₁₁	direct (N × H)
329. #2863	C₂×C₁₁	semidirect
330. #2863	C₂×C₁₁	semidirect
331. #2590	C₂×C₁₁	semidirect
333. #2585	C₂×C₁₁	semidirect
336. #2520	C₂×C₁₁	semidirect
337. #2507	C₂×C₁₁	semidirect
339. #2451	C₂×C₁₁	semidirect
340. #2446	C₂×C₁₁	semidirect
343. #2369	C₂×C₁₁	semidirect
344. #2365	C₂×C₁₁	semidirect
347. #2355	C₂×C₁₁	semidirect
351. C₄²×Q₈	C₂×C₁₁	semidirect
573. #126	Q₈×C₁₁	semidirect
779. C₁₁	#36554	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×#2863	2
C₁₁×#2590	2
C₁₁×#2589	2
C₁₁×#2585	2
C₁₁×#2574	2
C₁₁×#2522	2
C₁₁×#2520	2
C₁₁×#2507	2
C₁₁×#2492	2
C₁₁×#2451	2
C₁₁×#2446	2
C₁₁×#2429	2
C₁₁×#2423	2
C₁₁×#2369	2
C₁₁×#2365	2
C₁₁×#2360	2
C₁₁×#2355	2
C₁₁×#2345	2
C₄×C₁₁×#126	2
C₄²×Q₈×C₁₁	2
#36554	11

Subgroups — C11×#36554 #14613747

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#36554 #14613747