Subgroups — C₁₁×#59920 #14637113

Order 2816.

1646 conjugacy classes of subgroups.

The subgroup lattice has 920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2788	C₂	1	2	yes	maximal
2	C₁₁×#2720	C₂	1	2	yes	maximal
3	C₁₁×#2589	C₂	1	2	yes	maximal
4	C₁₁×#2587	C₂	1	2	yes	maximal
5	C₁₁×#2586	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2585	C₂	1	2	yes	maximal, complemented
7	C₁₁×#2584	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#2581	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2511	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2509	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2506	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#2453	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#2451	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#2441	C₂	1	1	yes	maximal, characteristic
15	C₁₁×#2439	C₂	1	1	yes	maximal, characteristic
16	C₁₁×#2370	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2369	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#2362	C₂	1	1	yes	maximal, characteristic
19	C₁₁×#2362	C₂	1	1	yes	maximal, characteristic
20	Q₈×C₁₁×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₁₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic
22	C₄×C₁₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic
23	C₁₁×#2296	C₂	1	1	yes	maximal, characteristic
24	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×#125	C₂²	1	2	yes	—
26	C₂×C₁₁×#125	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	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
34	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
35	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
36	C₁₁×#400	C₂²	1	2	yes	—
37	C₁₁×#400	C₂²	1	2	yes	—
38	C₁₁×#400	C₂²	1	2	yes	—
39	C₁₁×#400	C₂²	1	2	yes	—
40	C₁₁×#400	C₂²	1	2	yes	—
41	C₁₁×#399	C₂²	1	2	yes	—
42	C₁₁×#398	C₂²	1	2	yes	—
43	C₁₁×#398	C₂²	1	2	yes	—
44	C₁₁×#398	C₂²	1	2	yes	—
45	C₁₁×#398	C₂²	1	2	yes	—
46	C₁₁×#396	C₂²	1	2	yes	—
47	C₁₁×#396	C₂²	1	2	yes	—
48	C₁₁×#395	C₂²	1	2	yes	—
49	C₁₁×#395	C₂²	1	2	yes	—
50	C₁₁×#395	C₂²	1	2	yes	—
51	C₁₁×#393	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	1	yes	characteristic
56	C₁₁×#391	C₂²	1	1	yes	characteristic
57	C₁₁×#391	C₂²	1	2	yes	—
58	C₁₁×#391	C₂²	1	1	yes	characteristic
59	C₁₁×#391	C₂²	1	2	yes	—
60	C₁₁×#389	C₂²	1	1	yes	characteristic
61	C₁₁×#389	C₂²	1	1	yes	characteristic
62	C₁₁×#389	C₂²	1	1	yes	characteristic
63	C₁₁×#389	C₂²	1	1	yes	characteristic
64	C₁₁×#389	C₂²	1	2	yes	—
65	C₁₁×#389	C₂²	1	1	yes	characteristic
66	C₁₁×#389	C₂²	1	1	yes	characteristic
67	C₁₁×#389	C₂²	1	2	yes	—
68	C₁₁×#389	C₂²	1	2	yes	—
69	C₁₁×#389	C₂²	1	1	yes	characteristic
70	C₁₁×#389	C₂²	1	1	yes	characteristic
71	C₁₁×#389	C₂²	1	1	yes	characteristic
72	C₁₁×#389	C₂²	1	1	yes	characteristic
73	C₁₁×#389	C₂²	1	2	yes	—
74	C₁₁×#389	C₂²	1	2	yes	—
75	C₁₁×#389	C₂²	1	2	yes	—
76	C₁₁×#389	C₂²	1	2	yes	—
77	C₁₁×#389	C₂²	1	1	yes	characteristic
78	C₁₁×#389	C₂²	1	1	yes	characteristic
79	C₁₁×#389	C₂²	1	2	yes	—
80	C₁₁×#388	C₂²	1	2	yes	—
81	C₁₁×#388	C₂²	1	2	yes	—
82	C₁₁×#388	C₂²	1	2	yes	—
83	C₁₁×#388	C₂²	1	2	yes	—
84	C₁₁×#387	C₂²	1	2	yes	—
85	C₁₁×#387	C₂²	1	2	yes	—
86	C₁₁×#387	C₂²	1	2	yes	—
87	C₁₁×#387	C₂²	1	2	yes	—
88	C₁₁×#387	C₂²	1	2	yes	—
89	C₁₁×#387	C₂²	1	2	yes	—
90	C₁₁×#387	C₂²	1	1	yes	characteristic
91	C₁₁×#387	C₂²	1	2	yes	—
92	C₁₁×#387	C₂²	1	2	yes	—
93	C₁₁×#387	C₂²	1	2	yes	—
94	C₁₁×#387	C₂²	1	1	yes	characteristic
95	C₁₁×#387	C₂²	1	2	yes	—
96	C₁₁×#387	C₂²	1	2	yes	—
97	C₁₁×#385	C₂²	1	2	yes	—
98	C₁₁×#385	C₂²	1	2	yes	—
99	C₁₁×#385	C₂²	1	2	yes	—
100	C₁₁×#385	C₂²	1	1	yes	characteristic
101	C₁₁×#385	C₂²	1	1	yes	characteristic
102	C₁₁×#384	C₂²	1	1	yes	characteristic
103	C₁₁×#384	C₂²	1	2	yes	—
104	C₁₁×#382	C₂²	1	1	yes	characteristic
105	C₁₁×#380	C₂²	1	1	yes	characteristic
106	C₁₁×#380	C₂²	1	1	yes	characteristic
107	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
108	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
109	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
110	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
113	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
114	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
115	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
116	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
118	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
119	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
120	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
121	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
122	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
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	1	yes	characteristic
128	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
129	C₁₁×C₄⋊Q₈	—	2	4	no	—
130	C₁₁×#125	—	2	8	no	—
131	C₁₁×#125	—	4	2	no	—
132	C₁₁×C₂²⋊Q₈	—	2	4	no	—
133	C₁₁×C₂²⋊Q₈	Q₈	1	8	yes	complemented
134	C₄×Q₈×C₁₁	—	2	4	no	—
135	C₄×Q₈×C₁₁	—	4	2	no	—
136	C₄×Q₈×C₁₁	—	4	2	no	—
137	C₄×Q₈×C₁₁	—	4	2	no	—
138	C₁₁×#117	—	2	4	no	—
139	C₁₁×#117	—	4	2	no	—
140	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
141	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
142	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
143	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
152	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
156	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
157	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
158	C₂×C₁₁×C₄⋊C₄	C₂³	1	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	1	yes	characteristic
162	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
163	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
164	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
165	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
166	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
167	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
168	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
169	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
173	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
174	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
175	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
176	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
178	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
182	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₂×C₄²×C₁₁	—	4	2	no	—
185	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
186	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
187	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
188	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
195	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
196	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
197	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
198	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
199	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
200	C₂×C₄²×C₁₁	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	1	yes	characteristic
205	C₁₁×#95	C₂³	1	2	yes	—
206	C₁₁×#95	C₂³	1	2	yes	—
207	C₁₁×#95	C₂³	1	2	yes	—
208	C₁₁×#95	C₂³	1	2	yes	—
209	C₁₁×#95	C₂³	1	1	yes	characteristic
210	C₁₁×#95	C₂³	1	1	yes	characteristic
211	C₁₁×#95	C₂³	1	1	yes	characteristic
212	C₁₁×#95	C₂³	1	1	yes	characteristic
213	C₁₁×#95	C₂³	1	2	yes	—
214	C₁₁×#95	C₂³	1	1	yes	characteristic
215	C₁₁×#95	C₂³	1	2	yes	—
216	C₁₁×#95	C₂³	1	2	yes	—
217	C₁₁×#95	C₂³	1	2	yes	—
218	C₁₁×#95	C₂³	1	1	yes	characteristic
219	C₁₁×#95	C₂³	1	2	yes	—
220	C₁₁×#95	C₂³	1	2	yes	—
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	2	yes	—
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	C₁₁×#95	C₂³	1	2	yes	—
233	C₁₁×#95	C₂³	1	2	yes	—
234	#59920	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
235	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
236	C₂×Q₈×C₁₁	—	2	2	no	—
237	C₂×Q₈×C₁₁	—	2	2	no	—
238	C₂×Q₈×C₁₁	—	2	4	no	—
239	C₂×Q₈×C₁₁	—	2	2	no	—
240	C₂×Q₈×C₁₁	—	4	1	no	—
241	C₂×Q₈×C₁₁	—	4	1	no	—
242	C₂×Q₈×C₁₁	—	4	2	no	—
243	C₂×Q₈×C₁₁	—	4	2	no	—
244	C₂×Q₈×C₁₁	C₂×Q₈	1	4	yes	—
245	C₂²×C₄×C₁₁	—	2	2	no	—
246	C₂²×C₄×C₁₁	—	2	2	no	—
247	C₂²×C₄×C₁₁	—	2	2	no	—
248	C₂²×C₄×C₁₁	—	2	2	no	—
249	C₂²×C₄×C₁₁	—	4	1	no	—
250	C₂²×C₄×C₁₁	—	4	1	no	—
251	C₂²×C₄×C₁₁	—	4	1	no	—
252	C₂²×C₄×C₁₁	—	4	1	no	—
253	C₂²×C₄×C₁₁	C₂×Q₈	1	4	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	2	yes	—
258	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
259	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
260	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
261	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
262	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
263	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
264	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
265	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
266	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
267	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
268	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
269	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
270	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
271	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
272	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
273	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
274	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
275	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
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	2	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	4	no	—
285	C₁₁×C₄⋊C₄	—	2	4	no	—
286	C₁₁×C₄⋊C₄	—	2	2	no	—
287	C₁₁×C₄⋊C₄	—	2	2	no	—
288	C₁₁×C₄⋊C₄	—	2	2	no	—
289	C₁₁×C₄⋊C₄	—	2	2	no	—
290	C₁₁×C₄⋊C₄	—	2	2	no	—
291	C₁₁×C₄⋊C₄	—	2	2	no	—
292	C₁₁×C₄⋊C₄	—	2	4	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	—	4	2	no	—
297	C₁₁×C₄⋊C₄	—	4	1	no	—
298	C₁₁×C₄⋊C₄	—	4	2	no	—
299	C₁₁×C₄⋊C₄	—	4	2	no	—
300	C₁₁×C₄⋊C₄	—	4	2	no	—
301	C₁₁×C₄⋊C₄	—	4	1	no	—
302	C₁₁×C₄⋊C₄	—	4	2	no	—
303	C₁₁×C₄⋊C₄	—	4	2	no	—
304	C₁₁×C₄⋊C₄	—	4	1	no	—
305	C₁₁×C₄⋊C₄	—	4	1	no	—
306	C₁₁×C₄⋊C₄	—	4	2	no	—
307	C₁₁×C₄⋊C₄	—	4	2	no	—
308	C₁₁×C₄⋊C₄	C₂×Q₈	1	4	yes	—
309	C₁₁×C₄⋊C₄	C₂×Q₈	1	8	yes	—
310	C₁₁×C₄⋊C₄	#41	1	4	yes	—
311	C₁₁×C₄⋊C₄	#41	1	4	yes	—
312	C₁₁×C₂²⋊C₄	—	2	4	no	—
313	C₁₁×C₂²⋊C₄	—	2	2	no	—
314	C₁₁×C₂²⋊C₄	—	2	2	no	—
315	C₁₁×C₂²⋊C₄	—	4	1	no	—
316	C₁₁×C₂²⋊C₄	—	4	2	no	—
317	C₁₁×C₂²⋊C₄	—	4	1	no	—
318	C₁₁×C₂²⋊C₄	—	4	2	no	—
319	C₁₁×C₂²⋊C₄	C₂×Q₈	1	8	yes	—
320	C₄²×C₁₁	—	2	4	no	—
321	C₄²×C₁₁	—	2	4	no	—
322	C₄²×C₁₁	—	2	2	no	—
323	C₄²×C₁₁	—	2	4	no	—
324	C₄²×C₁₁	—	2	2	no	—
325	C₄²×C₁₁	—	2	2	no	—
326	C₄²×C₁₁	—	2	2	no	—
327	C₄²×C₁₁	—	2	2	no	—
328	C₄²×C₁₁	—	2	2	no	—
329	C₄²×C₁₁	—	4	1	no	—
330	C₄²×C₁₁	—	4	1	no	—
331	C₄²×C₁₁	—	4	2	no	—
332	C₄²×C₁₁	—	4	2	no	—
333	C₄²×C₁₁	—	4	2	no	—
334	C₄²×C₁₁	—	4	2	no	—
335	C₄²×C₁₁	—	4	2	no	—
336	#2788	C₂×C₁₁	1	2	yes	—
337	#2720	C₂×C₁₁	1	2	yes	—
338	#2589	C₂×C₁₁	1	2	yes	—
339	#2587	C₂×C₁₁	1	2	yes	—
340	#2586	C₂×C₁₁	1	2	yes	complemented
341	#2585	C₂×C₁₁	1	2	yes	complemented
342	#2584	C₂×C₁₁	1	1	yes	characteristic, complemented
343	#2581	C₂×C₁₁	1	1	yes	characteristic, complemented
344	#2511	C₂×C₁₁	1	2	yes	complemented
345	#2509	C₂×C₁₁	1	1	yes	characteristic, complemented
346	#2506	C₂×C₁₁	1	1	yes	characteristic, complemented
347	#2453	C₂×C₁₁	1	1	yes	characteristic, complemented
348	#2451	C₂×C₁₁	1	1	yes	characteristic, complemented
349	#2441	C₂×C₁₁	1	1	yes	characteristic
350	#2439	C₂×C₁₁	1	1	yes	characteristic
351	#2370	C₂×C₁₁	1	2	yes	complemented
352	#2369	C₂×C₁₁	1	1	yes	characteristic, complemented
353	#2362	C₂×C₁₁	1	1	yes	characteristic
354	#2362	C₂×C₁₁	1	1	yes	characteristic
355	Q₈×C₄⋊C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
356	C₄×C₂²⋊Q₈	C₂×C₁₁	1	1	yes	characteristic
357	C₄×C₂²⋊Q₈	C₂×C₁₁	1	1	yes	characteristic
358	#2296	C₂×C₁₁	1	1	yes	characteristic
359	C₂³×C₁₁	—	2	1	no	—
360	C₂³×C₁₁	—	2	1	no	—
361	C₂³×C₁₁	—	2	1	no	—
362	C₂³×C₁₁	—	2	1	no	—
363	C₂³×C₁₁	—	2	1	no	—
364	C₂³×C₁₁	—	2	1	no	—
365	C₂³×C₁₁	C₂²×Q₈	1	2	yes	—
366	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
367	Q₈×C₁₁	—	2	8	no	—
368	Q₈×C₁₁	—	4	4	no	—
369	Q₈×C₁₁	—	8	4	no	—
370	C₂×C₄×C₁₁	—	2	1	no	—
371	C₂×C₄×C₁₁	—	2	1	no	—
372	C₂×C₄×C₁₁	—	2	2	no	—
373	C₂×C₄×C₁₁	—	2	1	no	—
374	C₂×C₄×C₁₁	—	2	2	no	—
375	C₂×C₄×C₁₁	—	2	1	no	—
376	C₂×C₄×C₁₁	—	2	1	no	—
377	C₂×C₄×C₁₁	—	2	1	no	—
378	C₂×C₄×C₁₁	—	2	2	no	—
379	C₂×C₄×C₁₁	—	2	1	no	—
380	C₂×C₄×C₁₁	—	2	1	no	—
381	C₂×C₄×C₁₁	—	2	2	no	—
382	C₂×C₄×C₁₁	—	2	1	no	—
383	C₂×C₄×C₁₁	—	2	2	no	—
384	C₂×C₄×C₁₁	—	2	2	no	—
385	C₂×C₄×C₁₁	—	2	1	no	—
386	C₂×C₄×C₁₁	—	2	8	no	—
387	C₂×C₄×C₁₁	—	2	2	no	—
388	C₂×C₄×C₁₁	—	2	2	no	—
389	C₂×C₄×C₁₁	—	2	1	no	—
390	C₂×C₄×C₁₁	—	2	1	no	—
391	C₂×C₄×C₁₁	—	2	1	no	—
392	C₂×C₄×C₁₁	—	2	1	no	—
393	C₂×C₄×C₁₁	—	2	2	no	—
394	C₂×C₄×C₁₁	—	2	2	no	—
395	C₂×C₄×C₁₁	—	2	1	no	—
396	C₂×C₄×C₁₁	—	2	2	no	—
397	C₂×C₄×C₁₁	—	2	1	no	—
398	C₂×C₄×C₁₁	—	2	1	no	—
399	C₂×C₄×C₁₁	—	2	1	no	—
400	C₂×C₄×C₁₁	—	2	1	no	—
401	C₂×C₄×C₁₁	—	2	1	no	—
402	C₂×C₄×C₁₁	—	2	1	no	—
403	C₂×C₄×C₁₁	—	2	2	no	—
404	C₂×C₄×C₁₁	—	2	2	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	2	no	—
413	C₂×C₄×C₁₁	—	2	2	no	—
414	C₂×C₄×C₁₁	—	2	1	no	—
415	C₂×C₄×C₁₁	—	2	1	no	—
416	C₂×C₄×C₁₁	—	2	2	no	—
417	C₂×C₄×C₁₁	—	2	1	no	—
418	C₂×C₄×C₁₁	—	2	2	no	—
419	C₂×C₄×C₁₁	—	2	1	no	—
420	C₂×C₄×C₁₁	—	2	2	no	—
421	C₂×C₄×C₁₁	—	2	1	no	—
422	C₂×C₄×C₁₁	—	2	1	no	—
423	C₂×C₄×C₁₁	—	2	1	no	—
424	C₂×C₄×C₁₁	—	2	1	no	—
425	C₂×C₄×C₁₁	—	2	1	no	—
426	C₂×C₄×C₁₁	—	4	4	no	—
427	C₂×C₄×C₁₁	—	4	4	no	—
428	C₂×C₄×C₁₁	C₂²×Q₈	1	4	yes	—
429	C₂×C₄×C₁₁	C₂²×Q₈	1	4	yes	—
430	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
431	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
432	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
433	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
434	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
435	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
436	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
437	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
438	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
439	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
440	C₂×#125	C₂²×C₁₁	1	2	yes	—
441	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
442	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
443	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
444	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
445	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
446	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
447	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
448	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
449	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
450	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
451	#400	C₂²×C₁₁	1	2	yes	—
452	#400	C₂²×C₁₁	1	2	yes	—
453	#400	C₂²×C₁₁	1	2	yes	—
454	#400	C₂²×C₁₁	1	2	yes	—
455	#400	C₂²×C₁₁	1	2	yes	—
456	#399	C₂²×C₁₁	1	2	yes	—
457	#398	C₂²×C₁₁	1	2	yes	—
458	#398	C₂²×C₁₁	1	2	yes	—
459	#398	C₂²×C₁₁	1	2	yes	—
460	#398	C₂²×C₁₁	1	2	yes	—
461	#396	C₂²×C₁₁	1	2	yes	—
462	#396	C₂²×C₁₁	1	2	yes	—
463	#395	C₂²×C₁₁	1	2	yes	—
464	#395	C₂²×C₁₁	1	2	yes	—
465	#395	C₂²×C₁₁	1	2	yes	—
466	#393	C₂²×C₁₁	1	2	yes	—
467	#391	C₂²×C₁₁	1	1	yes	characteristic
468	#391	C₂²×C₁₁	1	1	yes	characteristic
469	#391	C₂²×C₁₁	1	1	yes	characteristic
470	#391	C₂²×C₁₁	1	2	yes	—
471	#391	C₂²×C₁₁	1	2	yes	—
472	#391	C₂²×C₁₁	1	2	yes	—
473	#391	C₂²×C₁₁	1	1	yes	characteristic
474	#391	C₂²×C₁₁	1	2	yes	—
475	#389	C₂²×C₁₁	1	1	yes	characteristic
476	#389	C₂²×C₁₁	1	1	yes	characteristic
477	#389	C₂²×C₁₁	1	2	yes	—
478	#389	C₂²×C₁₁	1	1	yes	characteristic
479	#389	C₂²×C₁₁	1	1	yes	characteristic
480	#389	C₂²×C₁₁	1	2	yes	—
481	#389	C₂²×C₁₁	1	1	yes	characteristic
482	#389	C₂²×C₁₁	1	1	yes	characteristic
483	#389	C₂²×C₁₁	1	2	yes	—
484	#389	C₂²×C₁₁	1	2	yes	—
485	#389	C₂²×C₁₁	1	2	yes	—
486	#389	C₂²×C₁₁	1	2	yes	—
487	#389	C₂²×C₁₁	1	2	yes	—
488	#389	C₂²×C₁₁	1	2	yes	—
489	#389	C₂²×C₁₁	1	1	yes	characteristic
490	#389	C₂²×C₁₁	1	1	yes	characteristic
491	#389	C₂²×C₁₁	1	1	yes	characteristic
492	#389	C₂²×C₁₁	1	1	yes	characteristic
493	#389	C₂²×C₁₁	1	1	yes	characteristic
494	#389	C₂²×C₁₁	1	1	yes	characteristic
495	#388	C₂²×C₁₁	1	2	yes	—
496	#388	C₂²×C₁₁	1	2	yes	—
497	#388	C₂²×C₁₁	1	2	yes	—
498	#388	C₂²×C₁₁	1	2	yes	—
499	#387	C₂²×C₁₁	1	2	yes	—
500	#387	C₂²×C₁₁	1	2	yes	—
501	#387	C₂²×C₁₁	1	1	yes	characteristic
502	#387	C₂²×C₁₁	1	2	yes	—
503	#387	C₂²×C₁₁	1	2	yes	—
504	#387	C₂²×C₁₁	1	2	yes	—
505	#387	C₂²×C₁₁	1	2	yes	—
506	#387	C₂²×C₁₁	1	2	yes	—
507	#387	C₂²×C₁₁	1	2	yes	—
508	#387	C₂²×C₁₁	1	2	yes	—
509	#387	C₂²×C₁₁	1	2	yes	—
510	#387	C₂²×C₁₁	1	2	yes	—
511	#387	C₂²×C₁₁	1	1	yes	characteristic
512	#385	C₂²×C₁₁	1	1	yes	characteristic
513	#385	C₂²×C₁₁	1	2	yes	—
514	#385	C₂²×C₁₁	1	1	yes	characteristic
515	#385	C₂²×C₁₁	1	2	yes	—
516	#385	C₂²×C₁₁	1	2	yes	—
517	#384	C₂²×C₁₁	1	1	yes	characteristic
518	#384	C₂²×C₁₁	1	2	yes	—
519	#382	C₂²×C₁₁	1	1	yes	characteristic
520	#380	C₂²×C₁₁	1	1	yes	characteristic
521	#380	C₂²×C₁₁	1	1	yes	characteristic
522	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
523	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
524	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
525	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
526	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
527	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
528	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
529	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
530	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
531	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
532	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
533	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
534	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
535	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
536	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
537	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
538	C₂²×C₁₁	—	2	2	no	—
539	C₂²×C₁₁	—	2	2	no	—
540	C₂²×C₁₁	—	2	2	no	—
541	C₂²×C₁₁	—	4	1	no	—
542	C₂²×C₁₁	—	4	1	no	—
543	C₂²×C₁₁	—	4	1	no	—
544	C₂²×C₁₁	—	4	1	no	—
545	C₂²×C₁₁	C₂³×Q₈	1	1	yes	characteristic
546	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
547	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
548	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
549	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
550	C₂²×C₁₁	#585	1	1	yes	characteristic
551	C₂²×C₁₁	#585	1	1	yes	characteristic
552	C₄×C₁₁	—	2	2	no	—
553	C₄×C₁₁	—	2	4	no	—
554	C₄×C₁₁	—	2	4	no	—
555	C₄×C₁₁	—	2	2	no	—
556	C₄×C₁₁	—	2	2	no	—
557	C₄×C₁₁	—	2	2	no	—
558	C₄×C₁₁	—	2	4	no	—
559	C₄×C₁₁	—	2	2	no	—
560	C₄×C₁₁	—	4	2	no	—
561	C₄×C₁₁	—	4	2	no	—
562	C₄×C₁₁	—	4	2	no	—
563	C₄×C₁₁	—	4	1	no	—
564	C₄×C₁₁	—	4	1	no	—
565	C₄×C₁₁	—	4	1	no	—
566	C₄×C₁₁	—	4	1	no	—
567	C₄×C₁₁	—	4	2	no	—
568	C₄×C₁₁	—	4	1	no	—
569	C₄×C₁₁	—	4	1	no	—
570	C₄×C₁₁	—	4	1	no	—
571	C₄×C₁₁	—	4	2	no	—
572	C₄×C₁₁	—	4	1	no	—
573	C₄×C₁₁	#554	1	4	yes	—
574	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
575	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
576	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
577	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
578	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
579	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
580	C₄⋊Q₈	—	2	4	no	—
581	#125	—	2	8	no	—
582	#125	—	4	2	no	—
583	C₂²⋊Q₈	—	2	4	no	—
584	C₂²⋊Q₈	Q₈×C₁₁	1	8	yes	complemented
585	C₄×Q₈	—	2	4	no	—
586	C₄×Q₈	—	4	2	no	—
587	C₄×Q₈	—	4	2	no	—
588	C₄×Q₈	—	4	2	no	—
589	#117	—	2	4	no	—
590	#117	—	4	2	no	—
591	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
592	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
593	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
594	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
595	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
596	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
597	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
598	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
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	1	yes	characteristic
604	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
605	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
606	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
607	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
608	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
609	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
610	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
611	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
612	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
613	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
614	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
615	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
616	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
617	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
618	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
619	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
620	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
621	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
622	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
623	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
624	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
625	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
626	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
627	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
628	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
629	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
630	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
631	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
632	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
633	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
634	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
635	C₂×C₄²	—	4	2	no	—
636	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
637	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
638	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
639	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
640	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
641	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
642	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
643	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
644	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
645	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
646	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
647	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
648	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
649	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
650	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
651	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
652	#95	C₂³×C₁₁	1	1	yes	characteristic
653	#95	C₂³×C₁₁	1	1	yes	characteristic
654	#95	C₂³×C₁₁	1	1	yes	characteristic
655	#95	C₂³×C₁₁	1	1	yes	characteristic
656	#95	C₂³×C₁₁	1	2	yes	—
657	#95	C₂³×C₁₁	1	2	yes	—
658	#95	C₂³×C₁₁	1	2	yes	—
659	#95	C₂³×C₁₁	1	2	yes	—
660	#95	C₂³×C₁₁	1	1	yes	characteristic
661	#95	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
666	#95	C₂³×C₁₁	1	2	yes	—
667	#95	C₂³×C₁₁	1	2	yes	—
668	#95	C₂³×C₁₁	1	2	yes	—
669	#95	C₂³×C₁₁	1	1	yes	characteristic
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	#95	C₂³×C₁₁	1	2	yes	—
676	#95	C₂³×C₁₁	1	2	yes	—
677	#95	C₂³×C₁₁	1	2	yes	—
678	#95	C₂³×C₁₁	1	2	yes	—
679	#95	C₂³×C₁₁	1	2	yes	—
680	#95	C₂³×C₁₁	1	2	yes	—
681	#95	C₂³×C₁₁	1	2	yes	—
682	#95	C₂³×C₁₁	1	2	yes	—
683	#95	C₂³×C₁₁	1	2	yes	—
684	#95	C₂³×C₁₁	1	2	yes	—
685	C₂×C₁₁	—	4	2	no	—
686	C₂×C₁₁	C₂×#554	1	1	yes	characteristic
687	C₂×C₁₁	Q₈×#41	1	1	yes	characteristic
688	C₂×C₁₁	#3482	1	1	yes	characteristic
689	C₂×C₁₁	#3502	1	1	yes	characteristic
690	C₂×C₁₁	#3506	1	1	yes	characteristic
691	C₂×C₁₁	#3521	1	1	yes	characteristic
692	C₂×C₁₁	#3541	1	1	yes	characteristic
693	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
694	C₂×Q₈	—	2	2	no	—
695	C₂×Q₈	—	2	2	no	—
696	C₂×Q₈	—	2	4	no	—
697	C₂×Q₈	—	2	2	no	—
698	C₂×Q₈	—	4	1	no	—
699	C₂×Q₈	—	4	1	no	—
700	C₂×Q₈	—	4	2	no	—
701	C₂×Q₈	—	4	2	no	—
702	C₂×Q₈	C₂×Q₈×C₁₁	1	4	yes	—
703	C₂²×C₄	—	2	2	no	—
704	C₂²×C₄	—	2	2	no	—
705	C₂²×C₄	—	2	2	no	—
706	C₂²×C₄	—	2	2	no	—
707	C₂²×C₄	—	4	1	no	—
708	C₂²×C₄	—	4	1	no	—
709	C₂²×C₄	—	4	1	no	—
710	C₂²×C₄	—	4	1	no	—
711	C₂²×C₄	C₂×Q₈×C₁₁	1	4	yes	—
712	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
713	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
714	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
715	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
716	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
717	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
718	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
719	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
720	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
721	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
722	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
723	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
724	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
725	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
726	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
727	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
728	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
729	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
730	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
731	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
732	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
733	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
734	C₄⋊C₄	—	2	2	no	—
735	C₄⋊C₄	—	2	4	no	—
736	C₄⋊C₄	—	2	2	no	—
737	C₄⋊C₄	—	2	2	no	—
738	C₄⋊C₄	—	2	4	no	—
739	C₄⋊C₄	—	2	4	no	—
740	C₄⋊C₄	—	2	4	no	—
741	C₄⋊C₄	—	2	4	no	—
742	C₄⋊C₄	—	2	4	no	—
743	C₄⋊C₄	—	2	4	no	—
744	C₄⋊C₄	—	2	2	no	—
745	C₄⋊C₄	—	2	2	no	—
746	C₄⋊C₄	—	2	2	no	—
747	C₄⋊C₄	—	2	2	no	—
748	C₄⋊C₄	—	2	2	no	—
749	C₄⋊C₄	—	2	2	no	—
750	C₄⋊C₄	—	2	4	no	—
751	C₄⋊C₄	—	4	1	no	—
752	C₄⋊C₄	—	4	2	no	—
753	C₄⋊C₄	—	4	2	no	—
754	C₄⋊C₄	—	4	1	no	—
755	C₄⋊C₄	—	4	1	no	—
756	C₄⋊C₄	—	4	2	no	—
757	C₄⋊C₄	—	4	2	no	—
758	C₄⋊C₄	—	4	2	no	—
759	C₄⋊C₄	—	4	2	no	—
760	C₄⋊C₄	—	4	2	no	—
761	C₄⋊C₄	—	4	2	no	—
762	C₄⋊C₄	—	4	1	no	—
763	C₄⋊C₄	—	4	2	no	—
764	C₄⋊C₄	—	4	2	no	—
765	C₄⋊C₄	—	4	2	no	—
766	C₄⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
767	C₄⋊C₄	C₂×Q₈×C₁₁	1	8	yes	—
768	C₄⋊C₄	C₁₁×#41	1	4	yes	—
769	C₄⋊C₄	C₁₁×#41	1	4	yes	—
770	C₂²⋊C₄	—	2	4	no	—
771	C₂²⋊C₄	—	2	2	no	—
772	C₂²⋊C₄	—	2	2	no	—
773	C₂²⋊C₄	—	4	2	no	—
774	C₂²⋊C₄	—	4	1	no	—
775	C₂²⋊C₄	—	4	2	no	—
776	C₂²⋊C₄	—	4	1	no	—
777	C₂²⋊C₄	C₂×Q₈×C₁₁	1	8	yes	—
778	C₄²	—	2	4	no	—
779	C₄²	—	2	4	no	—
780	C₄²	—	2	2	no	—
781	C₄²	—	2	4	no	—
782	C₄²	—	2	2	no	—
783	C₄²	—	2	2	no	—
784	C₄²	—	2	2	no	—
785	C₄²	—	2	2	no	—
786	C₄²	—	2	2	no	—
787	C₄²	—	4	1	no	—
788	C₄²	—	4	1	no	—
789	C₄²	—	4	2	no	—
790	C₄²	—	4	2	no	—
791	C₄²	—	4	2	no	—
792	C₄²	—	4	2	no	—
793	C₄²	—	4	2	no	—
794	C₁₁	#59920	1	1	yes	characteristic, direct product factor, Sylow
795	C₂³	—	2	1	no	—
796	C₂³	—	2	1	no	—
797	C₂³	—	2	1	no	—
798	C₂³	—	2	1	no	—
799	C₂³	—	2	1	no	—
800	C₂³	—	2	1	no	—
801	C₂³	C₂²×Q₈×C₁₁	1	2	yes	—
802	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
803	Q₈	—	2	8	no	—
804	Q₈	—	4	4	no	—
805	Q₈	—	8	4	no	—
806	C₂×C₄	—	2	1	no	—
807	C₂×C₄	—	2	1	no	—
808	C₂×C₄	—	2	2	no	—
809	C₂×C₄	—	2	1	no	—
810	C₂×C₄	—	2	2	no	—
811	C₂×C₄	—	2	1	no	—
812	C₂×C₄	—	2	1	no	—
813	C₂×C₄	—	2	1	no	—
814	C₂×C₄	—	2	2	no	—
815	C₂×C₄	—	2	1	no	—
816	C₂×C₄	—	2	1	no	—
817	C₂×C₄	—	2	2	no	—
818	C₂×C₄	—	2	1	no	—
819	C₂×C₄	—	2	2	no	—
820	C₂×C₄	—	2	2	no	—
821	C₂×C₄	—	2	1	no	—
822	C₂×C₄	—	2	8	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	1	no	—
829	C₂×C₄	—	2	2	no	—
830	C₂×C₄	—	2	2	no	—
831	C₂×C₄	—	2	1	no	—
832	C₂×C₄	—	2	2	no	—
833	C₂×C₄	—	2	1	no	—
834	C₂×C₄	—	2	1	no	—
835	C₂×C₄	—	2	1	no	—
836	C₂×C₄	—	2	1	no	—
837	C₂×C₄	—	2	1	no	—
838	C₂×C₄	—	2	1	no	—
839	C₂×C₄	—	2	2	no	—
840	C₂×C₄	—	2	2	no	—
841	C₂×C₄	—	2	2	no	—
842	C₂×C₄	—	2	2	no	—
843	C₂×C₄	—	2	1	no	—
844	C₂×C₄	—	2	1	no	—
845	C₂×C₄	—	2	2	no	—
846	C₂×C₄	—	2	1	no	—
847	C₂×C₄	—	2	1	no	—
848	C₂×C₄	—	2	2	no	—
849	C₂×C₄	—	2	2	no	—
850	C₂×C₄	—	2	1	no	—
851	C₂×C₄	—	2	1	no	—
852	C₂×C₄	—	2	2	no	—
853	C₂×C₄	—	2	1	no	—
854	C₂×C₄	—	2	2	no	—
855	C₂×C₄	—	2	1	no	—
856	C₂×C₄	—	2	2	no	—
857	C₂×C₄	—	2	1	no	—
858	C₂×C₄	—	2	1	no	—
859	C₂×C₄	—	2	1	no	—
860	C₂×C₄	—	2	1	no	—
861	C₂×C₄	—	2	1	no	—
862	C₂×C₄	—	4	4	no	—
863	C₂×C₄	—	4	4	no	—
864	C₂×C₄	C₂²×Q₈×C₁₁	1	4	yes	—
865	C₂×C₄	C₂²×Q₈×C₁₁	1	4	yes	—
866	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
867	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
868	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
869	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
870	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
871	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
872	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
873	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
874	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
875	C₂²	—	2	2	no	—
876	C₂²	—	2	2	no	—
877	C₂²	—	2	2	no	—
878	C₂²	—	4	1	no	—
879	C₂²	—	4	1	no	—
880	C₂²	—	4	1	no	—
881	C₂²	—	4	1	no	—
882	C₂²	C₂³×Q₈×C₁₁	1	1	yes	characteristic
883	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
884	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
885	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
886	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
887	C₂²	C₁₁×#585	1	1	yes	characteristic
888	C₂²	C₁₁×#585	1	1	yes	characteristic
889	C₄	—	2	2	no	—
890	C₄	—	2	4	no	—
891	C₄	—	2	4	no	—
892	C₄	—	2	2	no	—
893	C₄	—	2	2	no	—
894	C₄	—	2	2	no	—
895	C₄	—	2	4	no	—
896	C₄	—	2	2	no	—
897	C₄	—	4	2	no	—
898	C₄	—	4	1	no	—
899	C₄	—	4	1	no	—
900	C₄	—	4	1	no	—
901	C₄	—	4	2	no	—
902	C₄	—	4	2	no	—
903	C₄	—	4	1	no	—
904	C₄	—	4	2	no	—
905	C₄	—	4	1	no	—
906	C₄	—	4	1	no	—
907	C₄	—	4	1	no	—
908	C₄	—	4	1	no	—
909	C₄	—	4	2	no	—
910	C₄	C₁₁×#554	1	4	yes	—
911	C₂	—	4	2	no	—
912	C₂	C₂×C₁₁×#554	1	1	yes	characteristic
913	C₂	Q₈×C₁₁×#41	1	1	yes	characteristic
914	C₂	C₁₁×#3482	1	1	yes	characteristic
915	C₂	C₁₁×#3502	1	1	yes	characteristic
916	C₂	C₁₁×#3506	1	1	yes	characteristic
917	C₂	C₁₁×#3521	1	1	yes	characteristic
918	C₂	C₁₁×#3541	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
5. C₁₁×#2586	C₂	semidirect
6. C₁₁×#2585	C₂	semidirect
7. C₁₁×#2584	C₂	semidirect
8. C₁₁×#2581	C₂	semidirect
9. C₁₁×#2511	C₂	semidirect
10. C₁₁×#2509	C₂	semidirect
11. C₁₁×#2506	C₂	semidirect
12. C₁₁×#2453	C₂	semidirect
13. C₁₁×#2451	C₂	semidirect
16. C₁₁×#2370	C₂	semidirect
17. C₁₁×#2369	C₂	semidirect
20. Q₈×C₁₁×C₄⋊C₄	C₂	semidirect
133. C₁₁×C₂²⋊Q₈	Q₈	semidirect
234. #59920	C₁₁	direct (N × H)
340. #2586	C₂×C₁₁	semidirect
341. #2585	C₂×C₁₁	semidirect
342. #2584	C₂×C₁₁	semidirect
343. #2581	C₂×C₁₁	semidirect
344. #2511	C₂×C₁₁	semidirect
345. #2509	C₂×C₁₁	semidirect
346. #2506	C₂×C₁₁	semidirect
347. #2453	C₂×C₁₁	semidirect
348. #2451	C₂×C₁₁	semidirect
351. #2370	C₂×C₁₁	semidirect
352. #2369	C₂×C₁₁	semidirect
355. Q₈×C₄⋊C₄	C₂×C₁₁	semidirect
584. C₂²⋊Q₈	Q₈×C₁₁	semidirect
794. C₁₁	#59920	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×#2788	2
C₁₁×#2720	2
C₁₁×#2589	2
C₁₁×#2587	2
C₁₁×#2586	2
C₁₁×#2585	2
C₁₁×#2584	2
C₁₁×#2581	2
C₁₁×#2511	2
C₁₁×#2509	2
C₁₁×#2506	2
C₁₁×#2453	2
C₁₁×#2451	2
C₁₁×#2441	2
C₁₁×#2439	2
C₁₁×#2370	2
C₁₁×#2369	2
C₁₁×#2362	2
Q₈×C₁₁×C₄⋊C₄	2
C₄×C₁₁×C₂²⋊Q₈	2
C₁₁×#2296	2
#59920	11

Subgroups — C11×#59920 #14637113

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#59920 #14637113