Subgroups — C₁₁×#34286 #14611479

Order 2816.

2062 conjugacy classes of subgroups.

The subgroup lattice has 922 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#541	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2373	C₂	1	2	yes	maximal
3	C₁₁×#2373	C₂	1	2	yes	maximal
4	C₁₁×#2371	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2370	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#2370	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#2370	C₂	1	2	yes	maximal, complemented
8	C₁₁×#2365	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2365	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#2362	C₂	1	1	yes	maximal, characteristic
11	C₁₁×#2362	C₂	1	1	yes	maximal, characteristic
12	C₁₁×#2360	C₂	1	1	yes	maximal, characteristic
13	C₁₁×#2360	C₂	1	1	yes	maximal, characteristic
14	C₁₁×#2336	C₂	1	2	yes	maximal, complemented
15	C₁₁×#2334	C₂	1	2	yes	maximal
16	C₁₁×#2320	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×C₁₁×#125	C₂	1	2	yes	maximal, complemented
18	C₄×C₁₁×#126	C₂	1	2	yes	maximal
19	C₁₁×#2298	C₂	1	1	yes	maximal, characteristic
20	C₁₁×#2295	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₁×#2276	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₁×#2274	C₂	1	1	yes	maximal, characteristic
23	C₄²×Q₈×C₁₁	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₁×#541	C₄	1	16	yes	complemented
25	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₁₁×#126	C₂²	1	2	yes	—
27	C₂×C₁₁×#126	C₂²	1	2	yes	—
28	C₂×C₁₁×#125	C₂²	1	2	yes	—
29	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic
30	C₂×C₁₁×#125	C₂²	1	2	yes	—
31	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
32	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
33	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
34	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
35	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
36	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
37	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
38	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
39	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
40	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
41	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
42	C₁₁×#391	C₂²	1	1	yes	characteristic
43	C₁₁×#391	C₂²	1	1	yes	characteristic
44	C₁₁×#391	C₂²	1	1	yes	characteristic
45	C₁₁×#391	C₂²	1	1	yes	characteristic
46	C₁₁×#389	C₂²	1	1	yes	characteristic
47	C₁₁×#389	C₂²	1	1	yes	characteristic
48	C₁₁×#389	C₂²	1	2	yes	—
49	C₁₁×#389	C₂²	1	2	yes	—
50	C₁₁×#389	C₂²	1	1	yes	characteristic
51	C₁₁×#389	C₂²	1	1	yes	characteristic
52	C₁₁×#389	C₂²	1	2	yes	—
53	C₁₁×#389	C₂²	1	2	yes	—
54	C₁₁×#389	C₂²	1	2	yes	—
55	C₁₁×#389	C₂²	1	2	yes	—
56	C₁₁×#388	C₂²	1	1	yes	characteristic
57	C₁₁×#388	C₂²	1	1	yes	characteristic
58	C₁₁×#388	C₂²	1	1	yes	characteristic
59	C₁₁×#388	C₂²	1	1	yes	characteristic
60	C₁₁×#388	C₂²	1	2	yes	—
61	C₁₁×#388	C₂²	1	2	yes	—
62	C₁₁×#388	C₂²	1	2	yes	—
63	C₁₁×#388	C₂²	1	2	yes	—
64	C₁₁×#387	C₂²	1	2	yes	—
65	C₁₁×#387	C₂²	1	2	yes	—
66	C₁₁×#387	C₂²	1	1	yes	characteristic
67	C₁₁×#387	C₂²	1	1	yes	characteristic
68	C₁₁×#387	C₂²	1	1	yes	characteristic
69	C₁₁×#387	C₂²	1	1	yes	characteristic
70	C₁₁×#387	C₂²	1	2	yes	—
71	C₁₁×#387	C₂²	1	2	yes	—
72	C₁₁×#387	C₂²	1	2	yes	—
73	C₁₁×#387	C₂²	1	2	yes	—
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	2	yes	—
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×#385	C₂²	1	2	yes	—
85	C₁₁×#385	C₂²	1	2	yes	—
86	C₁₁×#383	C₂²	1	2	yes	—
87	C₁₁×#382	C₂²	1	2	yes	—
88	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
89	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
90	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
91	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
92	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
93	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
94	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
95	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
96	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
97	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
98	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
99	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
100	C₄×C₁₁×C₄⋊C₄	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	2	yes	—
104	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
105	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
106	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
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	2	yes	—
110	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
111	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
112	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
113	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
114	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
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	2	yes	—
118	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
119	C₁₁×#376	C₂²	1	1	yes	characteristic
120	C₁₁×#376	C₂²	1	2	yes	—
121	C₁₁×#376	C₂²	1	2	yes	—
122	C₄³×C₁₁	C₂²	1	1	yes	characteristic
123	C₄³×C₁₁	C₂²	1	2	yes	—
124	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
125	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
128	C₁₁×C₄⋊Q₈	C₂×C₄	1	8	yes	complemented
129	C₁₁×#126	C₂×C₄	1	16	yes	—
130	C₁₁×#126	C₂×C₄	1	16	yes	—
131	C₁₁×#125	C₂×C₄	1	8	yes	complemented
132	C₁₁×#125	C₂×C₄	1	16	yes	complemented
133	C₁₁×#125	C₂×C₄	1	16	yes	complemented
134	C₁₁×C₂²⋊Q₈	C₂×C₄	1	8	yes	—
135	C₁₁×C₂²⋊Q₈	C₂×C₄	1	8	yes	—
136	C₄×Q₈×C₁₁	—	2	4	no	—
137	C₄×Q₈×C₁₁	—	2	4	no	—
138	C₄×Q₈×C₁₁	—	2	4	no	—
139	C₄×Q₈×C₁₁	—	2	4	no	—
140	C₄×Q₈×C₁₁	C₂×C₄	1	8	yes	complemented
141	C₄×Q₈×C₁₁	C₂×C₄	1	8	yes	complemented
142	C₁₁×#117	—	2	4	no	—
143	C₁₁×#117	C₂×C₄	1	8	yes	—
144	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
145	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
146	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
147	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
148	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
150	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
151	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
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	2	yes	—
158	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
159	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
160	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
161	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
162	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
163	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
164	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
165	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
173	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
174	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
175	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
176	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
180	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₁×C₂²⋊C₄	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	1	yes	characteristic
188	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
189	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
190	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
191	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
193	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
194	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
195	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
196	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
197	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
198	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
199	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
200	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
201	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
202	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
203	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
204	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
205	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
206	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
207	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
208	C₁₁×#95	C₂³	1	1	yes	characteristic
209	C₁₁×#95	C₂³	1	2	yes	—
210	C₁₁×#95	C₂³	1	2	yes	—
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	2	yes	—
215	C₁₁×#95	C₂³	1	1	yes	characteristic
216	C₁₁×#95	C₂³	1	2	yes	—
217	C₁₁×#95	C₂³	1	2	yes	—
218	C₁₁×#95	C₂³	1	2	yes	—
219	C₁₁×#95	C₂³	1	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
228	C₁₁×#95	C₂³	1	1	yes	characteristic
229	C₁₁×#95	C₂³	1	2	yes	—
230	C₁₁×#95	C₂³	1	1	yes	characteristic
231	C₁₁×#95	C₂³	1	1	yes	characteristic
232	C₁₁×#95	C₂³	1	2	yes	—
233	C₁₁×#95	C₂³	1	2	yes	—
234	C₁₁×#95	C₂³	1	2	yes	—
235	C₁₁×#95	C₂³	1	2	yes	—
236	C₁₁×#95	C₂³	1	2	yes	—
237	C₁₁×#95	C₂³	1	1	yes	characteristic
238	C₁₁×#95	C₂³	1	1	yes	characteristic
239	C₁₁×#95	C₂³	1	2	yes	—
240	#34286	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
241	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
242	C₂×Q₈×C₁₁	—	2	2	no	—
243	C₂×Q₈×C₁₁	—	2	2	no	—
244	C₂×Q₈×C₁₁	—	2	2	no	—
245	C₂×Q₈×C₁₁	—	2	2	no	—
246	C₂×Q₈×C₁₁	C₂²×C₄	1	4	yes	—
247	C₂×Q₈×C₁₁	C₂²×C₄	1	4	yes	—
248	C₂²×C₄×C₁₁	—	2	2	no	—
249	C₂²×C₄×C₁₁	—	2	2	no	—
250	C₂²×C₄×C₁₁	—	2	4	no	—
251	C₂²×C₄×C₁₁	—	4	2	no	—
252	C₂²×C₄×C₁₁	—	4	2	no	—
253	C₂²×C₄×C₁₁	C₂²×C₄	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	1	yes	characteristic
258	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
259	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
260	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
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	2	yes	—
265	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
266	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
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	2	yes	—
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	4	no	—
277	C₁₁×C₄⋊C₄	—	2	2	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	2	no	—
284	C₁₁×C₄⋊C₄	—	2	4	no	—
285	C₁₁×C₄⋊C₄	—	2	2	no	—
286	C₁₁×C₄⋊C₄	—	4	1	no	—
287	C₁₁×C₄⋊C₄	—	4	1	no	—
288	C₁₁×C₄⋊C₄	—	4	2	no	—
289	C₁₁×C₄⋊C₄	—	4	2	no	—
290	C₁₁×C₄⋊C₄	—	4	2	no	—
291	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
292	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
293	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
294	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
295	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
296	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
297	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
298	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
299	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
300	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
301	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
302	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
303	C₁₁×C₄⋊C₄	#41	1	4	yes	—
304	C₁₁×C₄⋊C₄	#41	1	4	yes	—
305	C₁₁×C₂²⋊C₄	—	2	4	no	—
306	C₁₁×C₂²⋊C₄	—	2	2	no	—
307	C₁₁×C₂²⋊C₄	—	2	2	no	—
308	C₁₁×C₂²⋊C₄	—	4	1	no	—
309	C₁₁×C₂²⋊C₄	—	4	1	no	—
310	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
311	C₁₁×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
312	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
313	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
314	C₄²×C₁₁	—	2	4	no	—
315	C₄²×C₁₁	—	2	4	no	—
316	C₄²×C₁₁	—	2	4	no	—
317	C₄²×C₁₁	—	2	2	no	—
318	C₄²×C₁₁	—	2	2	no	—
319	C₄²×C₁₁	—	2	4	no	—
320	C₄²×C₁₁	—	2	4	no	—
321	C₄²×C₁₁	—	2	2	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	—	4	2	no	—
327	C₄²×C₁₁	—	4	1	no	—
328	C₄²×C₁₁	—	4	2	no	—
329	C₄²×C₁₁	—	4	2	no	—
330	C₄²×C₁₁	—	4	2	no	—
331	C₄²×C₁₁	—	4	2	no	—
332	C₄²×C₁₁	—	4	1	no	—
333	C₄²×C₁₁	—	4	2	no	—
334	C₄²×C₁₁	—	4	2	no	—
335	C₄²×C₁₁	C₂²×C₄	1	4	yes	—
336	C₄²×C₁₁	C₂²×C₄	1	4	yes	—
337	C₄²×C₁₁	C₂²×C₄	1	8	yes	—
338	C₄²×C₁₁	C₂²×C₄	1	8	yes	—
339	C₂×#541	C₂×C₁₁	1	1	yes	characteristic
340	#2373	C₂×C₁₁	1	2	yes	—
341	#2373	C₂×C₁₁	1	2	yes	—
342	#2371	C₂×C₁₁	1	2	yes	complemented
343	#2370	C₂×C₁₁	1	1	yes	characteristic, complemented
344	#2370	C₂×C₁₁	1	1	yes	characteristic, complemented
345	#2370	C₂×C₁₁	1	2	yes	complemented
346	#2365	C₂×C₁₁	1	1	yes	characteristic, complemented
347	#2365	C₂×C₁₁	1	1	yes	characteristic, complemented
348	#2362	C₂×C₁₁	1	1	yes	characteristic
349	#2362	C₂×C₁₁	1	1	yes	characteristic
350	#2360	C₂×C₁₁	1	1	yes	characteristic
351	#2360	C₂×C₁₁	1	1	yes	characteristic
352	#2336	C₂×C₁₁	1	2	yes	complemented
353	#2334	C₂×C₁₁	1	2	yes	—
354	#2320	C₂×C₁₁	1	1	yes	characteristic, complemented
355	C₄×#125	C₂×C₁₁	1	2	yes	complemented
356	C₄×#126	C₂×C₁₁	1	2	yes	—
357	#2298	C₂×C₁₁	1	1	yes	characteristic
358	#2295	C₂×C₁₁	1	1	yes	characteristic, complemented
359	#2276	C₂×C₁₁	1	1	yes	characteristic, complemented
360	#2274	C₂×C₁₁	1	1	yes	characteristic
361	C₄²×Q₈	C₂×C₁₁	1	1	yes	characteristic, complemented
362	C₂³×C₁₁	—	2	1	no	—
363	C₂³×C₁₁	—	2	1	no	—
364	C₂³×C₁₁	—	2	1	no	—
365	C₂³×C₁₁	—	2	1	no	—
366	C₂³×C₁₁	—	2	1	no	—
367	C₂³×C₁₁	—	2	1	no	—
368	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
369	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
370	Q₈×C₁₁	—	2	8	no	—
371	Q₈×C₁₁	—	2	8	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	2	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	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	1	no	—
385	C₂×C₄×C₁₁	—	2	1	no	—
386	C₂×C₄×C₁₁	—	2	2	no	—
387	C₂×C₄×C₁₁	—	2	1	no	—
388	C₂×C₄×C₁₁	—	2	1	no	—
389	C₂×C₄×C₁₁	—	2	1	no	—
390	C₂×C₄×C₁₁	—	2	2	no	—
391	C₂×C₄×C₁₁	—	2	1	no	—
392	C₂×C₄×C₁₁	—	2	2	no	—
393	C₂×C₄×C₁₁	—	2	1	no	—
394	C₂×C₄×C₁₁	—	2	1	no	—
395	C₂×C₄×C₁₁	—	2	2	no	—
396	C₂×C₄×C₁₁	—	2	2	no	—
397	C₂×C₄×C₁₁	—	2	2	no	—
398	C₂×C₄×C₁₁	—	2	8	no	—
399	C₂×C₄×C₁₁	—	2	1	no	—
400	C₂×C₄×C₁₁	—	2	1	no	—
401	C₂×C₄×C₁₁	—	2	2	no	—
402	C₂×C₄×C₁₁	—	2	1	no	—
403	C₂×C₄×C₁₁	—	2	1	no	—
404	C₂×C₄×C₁₁	—	2	1	no	—
405	C₂×C₄×C₁₁	—	2	1	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	1	no	—
410	C₂×C₄×C₁₁	—	2	1	no	—
411	C₂×C₄×C₁₁	—	2	2	no	—
412	C₂×C₄×C₁₁	—	2	1	no	—
413	C₂×C₄×C₁₁	—	2	1	no	—
414	C₂×C₄×C₁₁	—	2	1	no	—
415	C₂×C₄×C₁₁	—	2	2	no	—
416	C₂×C₄×C₁₁	—	2	1	no	—
417	C₂×C₄×C₁₁	—	2	1	no	—
418	C₂×C₄×C₁₁	—	2	1	no	—
419	C₂×C₄×C₁₁	—	2	2	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	—	8	4	no	—
424	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
425	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
426	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
427	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
428	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
429	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
430	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
431	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
432	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
433	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
434	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
435	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
436	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
437	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
438	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
439	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
440	#541	C₄×C₁₁	1	16	yes	complemented
441	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
442	C₂×#126	C₂²×C₁₁	1	2	yes	—
443	C₂×#126	C₂²×C₁₁	1	2	yes	—
444	C₂×#125	C₂²×C₁₁	1	2	yes	—
445	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
446	C₂×#125	C₂²×C₁₁	1	2	yes	—
447	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
448	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
449	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
450	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
451	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
452	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
453	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
454	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
455	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
456	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
457	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
458	#391	C₂²×C₁₁	1	1	yes	characteristic
459	#391	C₂²×C₁₁	1	1	yes	characteristic
460	#391	C₂²×C₁₁	1	1	yes	characteristic
461	#391	C₂²×C₁₁	1	1	yes	characteristic
462	#389	C₂²×C₁₁	1	2	yes	—
463	#389	C₂²×C₁₁	1	2	yes	—
464	#389	C₂²×C₁₁	1	1	yes	characteristic
465	#389	C₂²×C₁₁	1	1	yes	characteristic
466	#389	C₂²×C₁₁	1	2	yes	—
467	#389	C₂²×C₁₁	1	2	yes	—
468	#389	C₂²×C₁₁	1	2	yes	—
469	#389	C₂²×C₁₁	1	2	yes	—
470	#389	C₂²×C₁₁	1	1	yes	characteristic
471	#389	C₂²×C₁₁	1	1	yes	characteristic
472	#388	C₂²×C₁₁	1	1	yes	characteristic
473	#388	C₂²×C₁₁	1	2	yes	—
474	#388	C₂²×C₁₁	1	2	yes	—
475	#388	C₂²×C₁₁	1	1	yes	characteristic
476	#388	C₂²×C₁₁	1	2	yes	—
477	#388	C₂²×C₁₁	1	2	yes	—
478	#388	C₂²×C₁₁	1	1	yes	characteristic
479	#388	C₂²×C₁₁	1	1	yes	characteristic
480	#387	C₂²×C₁₁	1	2	yes	—
481	#387	C₂²×C₁₁	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
499	#387	C₂²×C₁₁	1	1	yes	characteristic
500	#385	C₂²×C₁₁	1	2	yes	—
501	#385	C₂²×C₁₁	1	2	yes	—
502	#383	C₂²×C₁₁	1	2	yes	—
503	#382	C₂²×C₁₁	1	2	yes	—
504	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
505	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
506	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
507	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
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	2	yes	—
511	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
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	1	yes	characteristic
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	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	1	yes	characteristic
529	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
530	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
531	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
532	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
533	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
534	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
535	#376	C₂²×C₁₁	1	1	yes	characteristic
536	#376	C₂²×C₁₁	1	2	yes	—
537	#376	C₂²×C₁₁	1	2	yes	—
538	C₄³	C₂²×C₁₁	1	2	yes	—
539	C₄³	C₂²×C₁₁	1	1	yes	characteristic
540	C₂²×C₁₁	—	2	2	no	—
541	C₂²×C₁₁	—	2	2	no	—
542	C₂²×C₁₁	—	2	2	no	—
543	C₂²×C₁₁	—	4	1	no	—
544	C₂²×C₁₁	—	4	1	no	—
545	C₂²×C₁₁	—	4	1	no	—
546	C₂²×C₁₁	—	4	1	no	—
547	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
548	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
549	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
550	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
551	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
552	C₂²×C₁₁	#585	1	1	yes	characteristic
553	C₂²×C₁₁	#585	1	1	yes	characteristic
554	C₄×C₁₁	—	2	2	no	—
555	C₄×C₁₁	—	2	4	no	—
556	C₄×C₁₁	—	2	4	no	—
557	C₄×C₁₁	—	2	2	no	—
558	C₄×C₁₁	—	2	2	no	—
559	C₄×C₁₁	—	2	4	no	—
560	C₄×C₁₁	—	2	2	no	—
561	C₄×C₁₁	—	2	2	no	—
562	C₄×C₁₁	—	2	4	no	—
563	C₄×C₁₁	—	2	4	no	—
564	C₄×C₁₁	—	2	2	no	—
565	C₄×C₁₁	—	2	4	no	—
566	C₄×C₁₁	—	2	2	no	—
567	C₄×C₁₁	—	4	1	no	—
568	C₄×C₁₁	—	4	1	no	—
569	C₄×C₁₁	—	4	1	no	—
570	C₄×C₁₁	—	4	2	no	—
571	C₄×C₁₁	—	4	1	no	—
572	C₄×C₁₁	—	4	1	no	—
573	C₄×C₁₁	—	4	2	no	—
574	C₄×C₁₁	—	4	1	no	—
575	C₄×C₁₁	C₄×#41	1	4	yes	—
576	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
577	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
578	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
579	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
580	C₄⋊Q₈	C₂×C₄×C₁₁	1	8	yes	complemented
581	#126	C₂×C₄×C₁₁	1	16	yes	—
582	#126	C₂×C₄×C₁₁	1	16	yes	—
583	#125	C₂×C₄×C₁₁	1	8	yes	complemented
584	#125	C₂×C₄×C₁₁	1	16	yes	complemented
585	#125	C₂×C₄×C₁₁	1	16	yes	complemented
586	C₂²⋊Q₈	C₂×C₄×C₁₁	1	8	yes	—
587	C₂²⋊Q₈	C₂×C₄×C₁₁	1	8	yes	—
588	C₄×Q₈	—	2	4	no	—
589	C₄×Q₈	—	2	4	no	—
590	C₄×Q₈	—	2	4	no	—
591	C₄×Q₈	—	2	4	no	—
592	C₄×Q₈	C₂×C₄×C₁₁	1	8	yes	complemented
593	C₄×Q₈	C₂×C₄×C₁₁	1	8	yes	complemented
594	#117	—	2	4	no	—
595	#117	C₂×C₄×C₁₁	1	8	yes	—
596	C₂×C₄⋊C₄	—	2	4	no	—
597	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
598	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
599	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
608	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
609	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
610	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
614	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
627	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
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	C₂³×C₁₁	1	2	yes	—
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	2	yes	—
640	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
641	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
651	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
652	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
653	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
654	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
655	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
656	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
657	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
658	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
659	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
660	#95	C₂³×C₁₁	1	1	yes	characteristic
661	#95	C₂³×C₁₁	1	2	yes	—
662	#95	C₂³×C₁₁	1	2	yes	—
663	#95	C₂³×C₁₁	1	1	yes	characteristic
664	#95	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
673	#95	C₂³×C₁₁	1	2	yes	—
674	#95	C₂³×C₁₁	1	2	yes	—
675	#95	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
680	#95	C₂³×C₁₁	1	1	yes	characteristic
681	#95	C₂³×C₁₁	1	2	yes	—
682	#95	C₂³×C₁₁	1	1	yes	characteristic
683	#95	C₂³×C₁₁	1	1	yes	characteristic
684	#95	C₂³×C₁₁	1	2	yes	—
685	#95	C₂³×C₁₁	1	2	yes	—
686	#95	C₂³×C₁₁	1	2	yes	—
687	#95	C₂³×C₁₁	1	2	yes	—
688	#95	C₂³×C₁₁	1	2	yes	—
689	#95	C₂³×C₁₁	1	1	yes	characteristic
690	#95	C₂³×C₁₁	1	1	yes	characteristic
691	#95	C₂³×C₁₁	1	2	yes	—
692	C₂×C₁₁	—	4	2	no	—
693	C₂×C₁₁	C₂×C₄×#41	1	1	yes	characteristic
694	C₂×C₁₁	C₄×2₋¹⁺⁴	1	1	yes	characteristic
695	C₂×C₁₁	C₄×2₋¹⁺⁴	1	1	yes	characteristic
696	C₂×C₁₁	#3515	1	1	yes	characteristic
697	C₂×C₁₁	#3516	1	1	yes	characteristic
698	C₂×C₁₁	#3521	1	1	yes	characteristic
699	C₂×C₁₁	#3523	1	1	yes	characteristic
700	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
701	C₂×Q₈	—	2	2	no	—
702	C₂×Q₈	—	2	2	no	—
703	C₂×Q₈	—	2	2	no	—
704	C₂×Q₈	—	2	2	no	—
705	C₂×Q₈	C₂²×C₄×C₁₁	1	4	yes	—
706	C₂×Q₈	C₂²×C₄×C₁₁	1	4	yes	—
707	C₂²×C₄	—	2	2	no	—
708	C₂²×C₄	—	2	2	no	—
709	C₂²×C₄	—	2	4	no	—
710	C₂²×C₄	—	4	2	no	—
711	C₂²×C₄	—	4	2	no	—
712	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
713	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
714	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
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	2	yes	—
719	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
720	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
727	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
728	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
729	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
730	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
731	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
732	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
733	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
734	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
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	2	no	—
743	C₄⋊C₄	—	2	4	no	—
744	C₄⋊C₄	—	2	2	no	—
745	C₄⋊C₄	—	4	1	no	—
746	C₄⋊C₄	—	4	1	no	—
747	C₄⋊C₄	—	4	2	no	—
748	C₄⋊C₄	—	4	2	no	—
749	C₄⋊C₄	—	4	2	no	—
750	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
751	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
752	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
753	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
754	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
755	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
756	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
757	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
758	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
759	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
760	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
761	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
762	C₄⋊C₄	C₁₁×#41	1	4	yes	—
763	C₄⋊C₄	C₁₁×#41	1	4	yes	—
764	C₂²⋊C₄	—	2	4	no	—
765	C₂²⋊C₄	—	2	2	no	—
766	C₂²⋊C₄	—	2	2	no	—
767	C₂²⋊C₄	—	4	1	no	—
768	C₂²⋊C₄	—	4	1	no	—
769	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
770	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
771	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
772	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
773	C₄²	—	2	4	no	—
774	C₄²	—	2	4	no	—
775	C₄²	—	2	4	no	—
776	C₄²	—	2	2	no	—
777	C₄²	—	2	2	no	—
778	C₄²	—	2	4	no	—
779	C₄²	—	2	4	no	—
780	C₄²	—	2	2	no	—
781	C₄²	—	2	2	no	—
782	C₄²	—	2	4	no	—
783	C₄²	—	2	2	no	—
784	C₄²	—	2	2	no	—
785	C₄²	—	4	2	no	—
786	C₄²	—	4	1	no	—
787	C₄²	—	4	2	no	—
788	C₄²	—	4	2	no	—
789	C₄²	—	4	2	no	—
790	C₄²	—	4	2	no	—
791	C₄²	—	4	1	no	—
792	C₄²	—	4	2	no	—
793	C₄²	—	4	2	no	—
794	C₄²	C₂²×C₄×C₁₁	1	4	yes	—
795	C₄²	C₂²×C₄×C₁₁	1	4	yes	—
796	C₄²	C₂²×C₄×C₁₁	1	8	yes	—
797	C₄²	C₂²×C₄×C₁₁	1	8	yes	—
798	C₁₁	#34286	1	1	yes	characteristic, direct product factor, Sylow
799	C₂³	—	2	1	no	—
800	C₂³	—	2	1	no	—
801	C₂³	—	2	1	no	—
802	C₂³	—	2	1	no	—
803	C₂³	—	2	1	no	—
804	C₂³	—	2	1	no	—
805	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
806	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
807	Q₈	—	2	8	no	—
808	Q₈	—	2	8	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	2	no	—
814	C₂×C₄	—	2	2	no	—
815	C₂×C₄	—	2	2	no	—
816	C₂×C₄	—	2	1	no	—
817	C₂×C₄	—	2	1	no	—
818	C₂×C₄	—	2	2	no	—
819	C₂×C₄	—	2	1	no	—
820	C₂×C₄	—	2	2	no	—
821	C₂×C₄	—	2	1	no	—
822	C₂×C₄	—	2	1	no	—
823	C₂×C₄	—	2	2	no	—
824	C₂×C₄	—	2	1	no	—
825	C₂×C₄	—	2	1	no	—
826	C₂×C₄	—	2	1	no	—
827	C₂×C₄	—	2	2	no	—
828	C₂×C₄	—	2	1	no	—
829	C₂×C₄	—	2	2	no	—
830	C₂×C₄	—	2	1	no	—
831	C₂×C₄	—	2	1	no	—
832	C₂×C₄	—	2	2	no	—
833	C₂×C₄	—	2	2	no	—
834	C₂×C₄	—	2	2	no	—
835	C₂×C₄	—	2	8	no	—
836	C₂×C₄	—	2	1	no	—
837	C₂×C₄	—	2	1	no	—
838	C₂×C₄	—	2	2	no	—
839	C₂×C₄	—	2	1	no	—
840	C₂×C₄	—	2	1	no	—
841	C₂×C₄	—	2	1	no	—
842	C₂×C₄	—	2	1	no	—
843	C₂×C₄	—	2	2	no	—
844	C₂×C₄	—	2	1	no	—
845	C₂×C₄	—	2	1	no	—
846	C₂×C₄	—	2	1	no	—
847	C₂×C₄	—	2	1	no	—
848	C₂×C₄	—	2	2	no	—
849	C₂×C₄	—	2	1	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	1	no	—
855	C₂×C₄	—	2	1	no	—
856	C₂×C₄	—	2	2	no	—
857	C₂×C₄	—	2	2	no	—
858	C₂×C₄	—	2	1	no	—
859	C₂×C₄	—	2	1	no	—
860	C₂×C₄	—	8	4	no	—
861	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
862	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
863	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
864	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
865	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
866	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
867	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
868	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
869	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
870	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
871	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
872	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
873	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
874	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
875	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
876	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
877	C₂²	—	2	2	no	—
878	C₂²	—	2	2	no	—
879	C₂²	—	2	2	no	—
880	C₂²	—	4	1	no	—
881	C₂²	—	4	1	no	—
882	C₂²	—	4	1	no	—
883	C₂²	—	4	1	no	—
884	C₂²	C₂⁴×C₄×C₁₁	1	1	yes	characteristic
885	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
886	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
887	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
888	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
889	C₂²	C₁₁×#585	1	1	yes	characteristic
890	C₂²	C₁₁×#585	1	1	yes	characteristic
891	C₄	—	2	2	no	—
892	C₄	—	2	4	no	—
893	C₄	—	2	4	no	—
894	C₄	—	2	2	no	—
895	C₄	—	2	2	no	—
896	C₄	—	2	4	no	—
897	C₄	—	2	2	no	—
898	C₄	—	2	2	no	—
899	C₄	—	2	4	no	—
900	C₄	—	2	4	no	—
901	C₄	—	2	2	no	—
902	C₄	—	2	4	no	—
903	C₄	—	2	2	no	—
904	C₄	—	4	1	no	—
905	C₄	—	4	1	no	—
906	C₄	—	4	1	no	—
907	C₄	—	4	2	no	—
908	C₄	—	4	2	no	—
909	C₄	—	4	1	no	—
910	C₄	—	4	1	no	—
911	C₄	—	4	1	no	—
912	C₄	C₄×C₁₁×#41	1	4	yes	—
913	C₂	—	4	2	no	—
914	C₂	C₂×C₄×C₁₁×#41	1	1	yes	characteristic
915	C₂	C₄×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
916	C₂	C₄×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
917	C₂	C₁₁×#3515	1	1	yes	characteristic
918	C₂	C₁₁×#3516	1	1	yes	characteristic
919	C₂	C₁₁×#3521	1	1	yes	characteristic
920	C₂	C₁₁×#3523	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₁
Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂⁴×C₁₁	C₂⁴
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
4. C₁₁×#2371	C₂	semidirect
5. C₁₁×#2370	C₂	semidirect
6. C₁₁×#2370	C₂	semidirect
7. C₁₁×#2370	C₂	semidirect
8. C₁₁×#2365	C₂	semidirect
9. C₁₁×#2365	C₂	semidirect
14. C₁₁×#2336	C₂	semidirect
16. C₁₁×#2320	C₂	semidirect
17. C₄×C₁₁×#125	C₂	semidirect
20. C₁₁×#2295	C₂	semidirect
21. C₁₁×#2276	C₂	semidirect
23. C₄²×Q₈×C₁₁	C₂	semidirect
24. C₁₁×#541	C₄	semidirect
128. C₁₁×C₄⋊Q₈	C₂×C₄	semidirect
131. C₁₁×#125	C₂×C₄	semidirect
132. C₁₁×#125	C₂×C₄	semidirect
133. C₁₁×#125	C₂×C₄	semidirect
140. C₄×Q₈×C₁₁	C₂×C₄	semidirect
141. C₄×Q₈×C₁₁	C₂×C₄	semidirect
240. #34286	C₁₁	direct (N × H)
342. #2371	C₂×C₁₁	semidirect
343. #2370	C₂×C₁₁	semidirect
344. #2370	C₂×C₁₁	semidirect
345. #2370	C₂×C₁₁	semidirect
346. #2365	C₂×C₁₁	semidirect
347. #2365	C₂×C₁₁	semidirect
352. #2336	C₂×C₁₁	semidirect
354. #2320	C₂×C₁₁	semidirect
355. C₄×#125	C₂×C₁₁	semidirect
358. #2295	C₂×C₁₁	semidirect
359. #2276	C₂×C₁₁	semidirect
361. C₄²×Q₈	C₂×C₁₁	semidirect
440. #541	C₄×C₁₁	semidirect
580. C₄⋊Q₈	C₂×C₄×C₁₁	semidirect
583. #125	C₂×C₄×C₁₁	semidirect
584. #125	C₂×C₄×C₁₁	semidirect
585. #125	C₂×C₄×C₁₁	semidirect
592. C₄×Q₈	C₂×C₄×C₁₁	semidirect
593. C₄×Q₈	C₂×C₄×C₁₁	semidirect
798. C₁₁	#34286	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×#541	2
C₁₁×#2373	2
C₁₁×#2371	2
C₁₁×#2370	2
C₁₁×#2365	2
C₁₁×#2362	2
C₁₁×#2360	2
C₁₁×#2336	2
C₁₁×#2334	2
C₁₁×#2320	2
C₄×C₁₁×#125	2
C₄×C₁₁×#126	2
C₁₁×#2298	2
C₁₁×#2295	2
C₁₁×#2276	2
C₁₁×#2274	2
C₄²×Q₈×C₁₁	2
#34286	11

Subgroups — C11×#34286 #14611479

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#34286 #14611479