Subgroups — C₁₁×#34435 #14611628

Order 2816.

1974 conjugacy classes of subgroups.

The subgroup lattice has 912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#544	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2382	C₂	1	2	yes	maximal, complemented
3	C₁₁×#2378	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×#2369	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#2365	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2362	C₂	1	2	yes	maximal
10	C₁₁×#2346	C₂	1	1	yes	maximal, characteristic
11	C₁₁×#2346	C₂	1	1	yes	maximal, characteristic
12	C₁₁×#2345	C₂	1	1	yes	maximal, characteristic
13	C₁₁×#2344	C₂	1	1	yes	maximal, characteristic
14	C₁₁×#2332	C₂	1	2	yes	maximal
15	C₁₁×#2331	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2331	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2330	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#2327	C₂	1	2	yes	maximal, complemented
19	C₁₁×#2323	C₂	1	2	yes	maximal
20	C₁₁×#2314	C₂	1	1	yes	maximal, characteristic
21	C₄×C₁₁×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₁×#125	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2298	C₂	1	1	yes	maximal, characteristic
24	C₁₁×#544	C₄	1	16	yes	complemented
25	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₁₁×C₄⋊Q₈	C₂²	1	2	yes	—
27	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₁₁×#125	C₂²	1	2	yes	—
29	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic
30	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic
31	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
32	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
33	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	—
34	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	—
35	C₂×C₁₁×#117	C₂²	1	2	yes	—
36	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
37	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
38	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
39	C₁₁×#391	C₂²	1	2	yes	—
40	C₁₁×#391	C₂²	1	2	yes	—
41	C₁₁×#391	C₂²	1	2	yes	—
42	C₁₁×#391	C₂²	1	2	yes	—
43	C₁₁×#391	C₂²	1	2	yes	—
44	C₁₁×#391	C₂²	1	2	yes	—
45	C₁₁×#389	C₂²	1	2	yes	—
46	C₁₁×#389	C₂²	1	2	yes	—
47	C₁₁×#389	C₂²	1	2	yes	—
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	1	yes	characteristic
53	C₁₁×#389	C₂²	1	1	yes	characteristic
54	C₁₁×#389	C₂²	1	2	yes	—
55	C₁₁×#389	C₂²	1	1	yes	characteristic
56	C₁₁×#389	C₂²	1	1	yes	characteristic
57	C₁₁×#389	C₂²	1	1	yes	characteristic
58	C₁₁×#389	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	1	yes	characteristic
64	C₁₁×#388	C₂²	1	1	yes	characteristic
65	C₁₁×#388	C₂²	1	1	yes	characteristic
66	C₁₁×#388	C₂²	1	2	yes	—
67	C₁₁×#388	C₂²	1	2	yes	—
68	C₁₁×#388	C₂²	1	2	yes	—
69	C₁₁×#387	C₂²	1	2	yes	—
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	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	2	yes	—
80	C₁₁×#387	C₂²	1	1	yes	characteristic
81	C₁₁×#387	C₂²	1	1	yes	characteristic
82	C₁₁×#387	C₂²	1	1	yes	characteristic
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	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	2	yes	—
91	C₁₁×#384	C₂²	1	1	yes	characteristic
92	C₁₁×#382	C₂²	1	2	yes	—
93	C₁₁×#382	C₂²	1	2	yes	—
94	C₁₁×#382	C₂²	1	1	yes	characteristic
95	C₁₁×#381	C₂²	1	2	yes	—
96	C₁₁×#380	C₂²	1	2	yes	—
97	C₁₁×#380	C₂²	1	1	yes	characteristic
98	C₁₁×#380	C₂²	1	1	yes	characteristic
99	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
100	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
101	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
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	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	1	yes	characteristic
109	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
110	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
111	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
113	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
116	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
117	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₁₁×#376	C₂²	1	1	yes	characteristic
121	C₁₁×#376	C₂²	1	2	yes	—
122	C₁₁×#376	C₂²	1	2	yes	—
123	C₄³×C₁₁	C₂²	1	1	yes	characteristic
124	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
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	C₂×C₄	1	8	yes	—
129	C₁₁×C₄⋊Q₈	C₂×C₄	1	16	yes	—
130	C₁₁×C₄⋊Q₈	C₂×C₄	1	8	yes	—
131	C₁₁×#125	C₂×C₄	1	16	yes	—
132	C₁₁×#125	C₂×C₄	1	8	yes	—
133	C₁₁×#125	C₂×C₄	1	8	yes	—
134	C₁₁×C₂²⋊Q₈	C₂×C₄	1	16	yes	—
135	C₁₁×C₂²⋊Q₈	C₂×C₄	1	16	yes	—
136	C₄×Q₈×C₁₁	—	4	4	no	—
137	C₄×Q₈×C₁₁	—	4	4	no	—
138	C₁₁×#117	—	4	4	no	—
139	C₁₁×#117	C₂×C₄	1	8	yes	—
140	C₁₁×#117	C₂×C₄	1	8	yes	—
141	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	8	yes	—
142	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	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	2	yes	—
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	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	1	yes	characteristic
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	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	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
174	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
175	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
177	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
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×C₄²×C₁₁	C₂³	1	1	yes	characteristic
183	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
184	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
185	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
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	2	yes	—
198	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
199	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
200	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
201	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
202	C₂×C₄²×C₁₁	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	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	1	yes	characteristic
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	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	1	yes	characteristic
234	C₁₁×#95	C₂³	1	2	yes	—
235	C₁₁×#95	C₂³	1	1	yes	characteristic
236	C₁₁×#95	C₂³	1	2	yes	—
237	#34435	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
238	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
239	C₂×Q₈×C₁₁	—	4	2	no	—
240	C₂×Q₈×C₁₁	—	4	2	no	—
241	C₂×Q₈×C₁₁	—	4	2	no	—
242	C₂×Q₈×C₁₁	—	4	2	no	—
243	C₂×Q₈×C₁₁	C₂²×C₄	1	8	yes	—
244	C₂×Q₈×C₁₁	C₂²×C₄	1	8	yes	—
245	C₂²×C₄×C₁₁	—	2	2	no	—
246	C₂²×C₄×C₁₁	—	2	2	no	—
247	C₂²×C₄×C₁₁	—	4	2	no	—
248	C₂²×C₄×C₁₁	—	4	2	no	—
249	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
250	C₂²×C₄×C₁₁	C₂²×C₄	1	8	yes	—
251	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
252	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
253	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
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	2	yes	—
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	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	1	yes	characteristic
272	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
273	C₁₁×C₄⋊C₄	—	2	4	no	—
274	C₁₁×C₄⋊C₄	—	2	2	no	—
275	C₁₁×C₄⋊C₄	—	2	2	no	—
276	C₁₁×C₄⋊C₄	—	2	2	no	—
277	C₁₁×C₄⋊C₄	—	2	2	no	—
278	C₁₁×C₄⋊C₄	—	2	2	no	—
279	C₁₁×C₄⋊C₄	—	2	2	no	—
280	C₁₁×C₄⋊C₄	—	4	1	no	—
281	C₁₁×C₄⋊C₄	—	4	2	no	—
282	C₁₁×C₄⋊C₄	—	4	2	no	—
283	C₁₁×C₄⋊C₄	—	4	2	no	—
284	C₁₁×C₄⋊C₄	—	4	2	no	—
285	C₁₁×C₄⋊C₄	—	4	1	no	—
286	C₁₁×C₄⋊C₄	—	4	2	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	2	no	—
291	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	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	4	yes	—
296	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
297	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	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	C₂²×C₄	1	8	yes	—
304	C₁₁×C₂²⋊C₄	—	2	2	no	—
305	C₁₁×C₂²⋊C₄	—	2	2	no	—
306	C₁₁×C₂²⋊C₄	—	4	1	no	—
307	C₁₁×C₂²⋊C₄	—	4	1	no	—
308	C₁₁×C₂²⋊C₄	—	4	2	no	—
309	C₁₁×C₂²⋊C₄	—	4	2	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	C₄²×C₁₁	—	2	4	no	—
314	C₄²×C₁₁	—	2	4	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	—	2	2	no	—
321	C₄²×C₁₁	—	2	2	no	—
322	C₄²×C₁₁	—	4	2	no	—
323	C₄²×C₁₁	—	4	1	no	—
324	C₄²×C₁₁	—	4	2	no	—
325	C₄²×C₁₁	—	4	2	no	—
326	C₄²×C₁₁	—	4	1	no	—
327	C₄²×C₁₁	—	4	2	no	—
328	C₄²×C₁₁	—	4	2	no	—
329	C₄²×C₁₁	—	4	2	no	—
330	C₄²×C₁₁	—	4	2	no	—
331	C₄²×C₁₁	C₂²×C₄	1	8	yes	—
332	C₄²×C₁₁	C₂²×C₄	1	4	yes	—
333	C₄²×C₁₁	C₂²×C₄	1	4	yes	—
334	C₂×#544	C₂×C₁₁	1	1	yes	characteristic
335	#2382	C₂×C₁₁	1	2	yes	complemented
336	#2378	C₂×C₁₁	1	2	yes	—
337	#2371	C₂×C₁₁	1	2	yes	complemented
338	#2370	C₂×C₁₁	1	1	yes	characteristic, complemented
339	#2370	C₂×C₁₁	1	1	yes	characteristic, complemented
340	#2369	C₂×C₁₁	1	1	yes	characteristic, complemented
341	#2365	C₂×C₁₁	1	1	yes	characteristic, complemented
342	#2362	C₂×C₁₁	1	2	yes	—
343	#2346	C₂×C₁₁	1	1	yes	characteristic
344	#2346	C₂×C₁₁	1	1	yes	characteristic
345	#2345	C₂×C₁₁	1	1	yes	characteristic
346	#2344	C₂×C₁₁	1	1	yes	characteristic
347	#2332	C₂×C₁₁	1	2	yes	—
348	#2331	C₂×C₁₁	1	1	yes	characteristic, complemented
349	#2331	C₂×C₁₁	1	2	yes	complemented
350	#2330	C₂×C₁₁	1	1	yes	characteristic, complemented
351	#2327	C₂×C₁₁	1	2	yes	complemented
352	#2323	C₂×C₁₁	1	2	yes	—
353	#2314	C₂×C₁₁	1	1	yes	characteristic
354	C₄×C₄⋊Q₈	C₂×C₁₁	1	1	yes	characteristic, complemented
355	C₄×#125	C₂×C₁₁	1	1	yes	characteristic, complemented
356	#2298	C₂×C₁₁	1	1	yes	characteristic
357	C₂³×C₁₁	—	2	1	no	—
358	C₂³×C₁₁	—	2	1	no	—
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	C₂³×C₄	1	2	yes	—
364	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
365	Q₈×C₁₁	—	4	8	no	—
366	Q₈×C₁₁	—	4	8	no	—
367	C₂×C₄×C₁₁	—	2	2	no	—
368	C₂×C₄×C₁₁	—	2	2	no	—
369	C₂×C₄×C₁₁	—	2	1	no	—
370	C₂×C₄×C₁₁	—	2	1	no	—
371	C₂×C₄×C₁₁	—	2	2	no	—
372	C₂×C₄×C₁₁	—	2	1	no	—
373	C₂×C₄×C₁₁	—	2	2	no	—
374	C₂×C₄×C₁₁	—	2	1	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	1	no	—
379	C₂×C₄×C₁₁	—	2	1	no	—
380	C₂×C₄×C₁₁	—	2	1	no	—
381	C₂×C₄×C₁₁	—	2	1	no	—
382	C₂×C₄×C₁₁	—	2	2	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	2	no	—
387	C₂×C₄×C₁₁	—	2	2	no	—
388	C₂×C₄×C₁₁	—	2	1	no	—
389	C₂×C₄×C₁₁	—	2	8	no	—
390	C₂×C₄×C₁₁	—	2	2	no	—
391	C₂×C₄×C₁₁	—	2	2	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	1	no	—
396	C₂×C₄×C₁₁	—	2	1	no	—
397	C₂×C₄×C₁₁	—	2	2	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	1	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	2	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	2	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	2	no	—
418	C₂×C₄×C₁₁	—	2	1	no	—
419	C₂×C₄×C₁₁	—	2	1	no	—
420	C₂×C₄×C₁₁	—	4	8	no	—
421	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
422	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
423	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
424	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
425	C₂×C₄×C₁₁	C₂³×C₄	1	4	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	2	yes	—
431	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
432	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
433	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
434	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
435	#544	C₄×C₁₁	1	16	yes	complemented
436	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
437	C₂×C₄⋊Q₈	C₂²×C₁₁	1	2	yes	—
438	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
439	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
440	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
441	C₂×#125	C₂²×C₁₁	1	2	yes	—
442	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
443	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
444	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	—
445	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	—
446	C₂×#117	C₂²×C₁₁	1	2	yes	—
447	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
448	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
449	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
450	#391	C₂²×C₁₁	1	2	yes	—
451	#391	C₂²×C₁₁	1	2	yes	—
452	#391	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	#389	C₂²×C₁₁	1	1	yes	characteristic
457	#389	C₂²×C₁₁	1	1	yes	characteristic
458	#389	C₂²×C₁₁	1	1	yes	characteristic
459	#389	C₂²×C₁₁	1	1	yes	characteristic
460	#389	C₂²×C₁₁	1	2	yes	—
461	#389	C₂²×C₁₁	1	2	yes	—
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	1	yes	characteristic
468	#389	C₂²×C₁₁	1	1	yes	characteristic
469	#389	C₂²×C₁₁	1	2	yes	—
470	#388	C₂²×C₁₁	1	2	yes	—
471	#388	C₂²×C₁₁	1	2	yes	—
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	2	yes	—
484	#387	C₂²×C₁₁	1	2	yes	—
485	#387	C₂²×C₁₁	1	1	yes	characteristic
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	2	yes	—
492	#387	C₂²×C₁₁	1	1	yes	characteristic
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	#387	C₂²×C₁₁	1	1	yes	characteristic
501	#387	C₂²×C₁₁	1	1	yes	characteristic
502	#384	C₂²×C₁₁	1	1	yes	characteristic
503	#382	C₂²×C₁₁	1	1	yes	characteristic
504	#382	C₂²×C₁₁	1	2	yes	—
505	#382	C₂²×C₁₁	1	2	yes	—
506	#381	C₂²×C₁₁	1	2	yes	—
507	#380	C₂²×C₁₁	1	1	yes	characteristic
508	#380	C₂²×C₁₁	1	1	yes	characteristic
509	#380	C₂²×C₁₁	1	2	yes	—
510	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
511	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
512	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
513	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
514	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
515	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
516	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
527	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
528	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
529	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
530	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
531	#376	C₂²×C₁₁	1	2	yes	—
532	#376	C₂²×C₁₁	1	1	yes	characteristic
533	#376	C₂²×C₁₁	1	2	yes	—
534	C₄³	C₂²×C₁₁	1	1	yes	characteristic
535	C₂²×C₁₁	—	2	2	no	—
536	C₂²×C₁₁	—	2	2	no	—
537	C₂²×C₁₁	—	2	2	no	—
538	C₂²×C₁₁	—	4	1	no	—
539	C₂²×C₁₁	—	4	1	no	—
540	C₂²×C₁₁	—	4	1	no	—
541	C₂²×C₁₁	—	4	1	no	—
542	C₂²×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
543	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
544	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
545	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
546	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
547	C₂²×C₁₁	#585	1	1	yes	characteristic
548	C₂²×C₁₁	#585	1	1	yes	characteristic
549	C₄×C₁₁	—	2	2	no	—
550	C₄×C₁₁	—	2	4	no	—
551	C₄×C₁₁	—	2	4	no	—
552	C₄×C₁₁	—	2	4	no	—
553	C₄×C₁₁	—	2	2	no	—
554	C₄×C₁₁	—	2	2	no	—
555	C₄×C₁₁	—	2	2	no	—
556	C₄×C₁₁	—	2	4	no	—
557	C₄×C₁₁	—	2	2	no	—
558	C₄×C₁₁	—	2	2	no	—
559	C₄×C₁₁	—	2	2	no	—
560	C₄×C₁₁	—	4	2	no	—
561	C₄×C₁₁	—	4	1	no	—
562	C₄×C₁₁	—	4	2	no	—
563	C₄×C₁₁	—	4	2	no	—
564	C₄×C₁₁	—	4	1	no	—
565	C₄×C₁₁	—	4	1	no	—
566	C₄×C₁₁	—	4	1	no	—
567	C₄×C₁₁	—	4	1	no	—
568	C₄×C₁₁	—	4	1	no	—
569	C₄×C₁₁	—	4	2	no	—
570	C₄×C₁₁	#519	1	4	yes	—
571	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
572	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
573	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
574	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
575	C₄⋊Q₈	C₂×C₄×C₁₁	1	8	yes	—
576	C₄⋊Q₈	C₂×C₄×C₁₁	1	16	yes	—
577	C₄⋊Q₈	C₂×C₄×C₁₁	1	8	yes	—
578	#125	C₂×C₄×C₁₁	1	8	yes	—
579	#125	C₂×C₄×C₁₁	1	8	yes	—
580	#125	C₂×C₄×C₁₁	1	16	yes	—
581	C₂²⋊Q₈	C₂×C₄×C₁₁	1	16	yes	—
582	C₂²⋊Q₈	C₂×C₄×C₁₁	1	16	yes	—
583	C₄×Q₈	—	4	4	no	—
584	C₄×Q₈	—	4	4	no	—
585	#117	—	4	4	no	—
586	#117	C₂×C₄×C₁₁	1	8	yes	—
587	#117	C₂×C₄×C₁₁	1	8	yes	—
588	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	8	yes	—
589	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
590	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
596	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
597	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
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	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	2	yes	—
615	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
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×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
621	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
622	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
623	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
624	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
625	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
626	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
627	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
628	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
629	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
630	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
636	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
637	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
638	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
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	2	yes	—
645	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
646	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
647	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
648	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
649	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
650	#95	C₂³×C₁₁	1	1	yes	characteristic
651	#95	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
659	#95	C₂³×C₁₁	1	1	yes	characteristic
660	#95	C₂³×C₁₁	1	2	yes	—
661	#95	C₂³×C₁₁	1	1	yes	characteristic
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	1	yes	characteristic
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	#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	1	yes	characteristic
681	#95	C₂³×C₁₁	1	2	yes	—
682	#95	C₂³×C₁₁	1	1	yes	characteristic
683	#95	C₂³×C₁₁	1	2	yes	—
684	C₂×C₁₁	—	4	2	no	—
685	C₂×C₁₁	C₂×#519	1	1	yes	characteristic
686	C₂×C₁₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
687	C₂×C₁₁	C₄×2₋¹⁺⁴	1	1	yes	characteristic
688	C₂×C₁₁	#3544	1	1	yes	characteristic
689	C₂×C₁₁	#3547	1	1	yes	characteristic
690	C₂×C₁₁	#3563	1	1	yes	characteristic
691	C₂×C₁₁	#3565	1	1	yes	characteristic
692	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
693	C₂×Q₈	—	4	2	no	—
694	C₂×Q₈	—	4	2	no	—
695	C₂×Q₈	—	4	2	no	—
696	C₂×Q₈	—	4	2	no	—
697	C₂×Q₈	C₂²×C₄×C₁₁	1	8	yes	—
698	C₂×Q₈	C₂²×C₄×C₁₁	1	8	yes	—
699	C₂²×C₄	—	2	2	no	—
700	C₂²×C₄	—	2	2	no	—
701	C₂²×C₄	—	4	2	no	—
702	C₂²×C₄	—	4	2	no	—
703	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
704	C₂²×C₄	C₂²×C₄×C₁₁	1	8	yes	—
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	2	yes	—
712	C₂²×C₄	C₂⁴×C₁₁	1	2	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	1	yes	characteristic
716	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
717	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
718	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
719	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
720	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
721	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
722	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
723	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
724	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
725	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
726	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
727	C₄⋊C₄	—	2	4	no	—
728	C₄⋊C₄	—	2	2	no	—
729	C₄⋊C₄	—	2	2	no	—
730	C₄⋊C₄	—	2	2	no	—
731	C₄⋊C₄	—	2	2	no	—
732	C₄⋊C₄	—	2	2	no	—
733	C₄⋊C₄	—	2	2	no	—
734	C₄⋊C₄	—	4	2	no	—
735	C₄⋊C₄	—	4	2	no	—
736	C₄⋊C₄	—	4	2	no	—
737	C₄⋊C₄	—	4	2	no	—
738	C₄⋊C₄	—	4	2	no	—
739	C₄⋊C₄	—	4	1	no	—
740	C₄⋊C₄	—	4	2	no	—
741	C₄⋊C₄	—	4	2	no	—
742	C₄⋊C₄	—	4	2	no	—
743	C₄⋊C₄	—	4	2	no	—
744	C₄⋊C₄	—	4	1	no	—
745	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
746	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
747	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
748	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
749	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
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	8	yes	—
753	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	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	C₂²⋊C₄	—	2	2	no	—
759	C₂²⋊C₄	—	2	2	no	—
760	C₂²⋊C₄	—	4	2	no	—
761	C₂²⋊C₄	—	4	1	no	—
762	C₂²⋊C₄	—	4	1	no	—
763	C₂²⋊C₄	—	4	2	no	—
764	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
765	C₂²⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
766	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
767	C₄²	—	2	4	no	—
768	C₄²	—	2	4	no	—
769	C₄²	—	2	2	no	—
770	C₄²	—	2	2	no	—
771	C₄²	—	2	4	no	—
772	C₄²	—	2	2	no	—
773	C₄²	—	2	2	no	—
774	C₄²	—	2	2	no	—
775	C₄²	—	2	2	no	—
776	C₄²	—	4	2	no	—
777	C₄²	—	4	2	no	—
778	C₄²	—	4	2	no	—
779	C₄²	—	4	2	no	—
780	C₄²	—	4	1	no	—
781	C₄²	—	4	2	no	—
782	C₄²	—	4	2	no	—
783	C₄²	—	4	1	no	—
784	C₄²	—	4	2	no	—
785	C₄²	C₂²×C₄×C₁₁	1	8	yes	—
786	C₄²	C₂²×C₄×C₁₁	1	4	yes	—
787	C₄²	C₂²×C₄×C₁₁	1	4	yes	—
788	C₁₁	#34435	1	1	yes	characteristic, direct product factor, Sylow
789	C₂³	—	2	1	no	—
790	C₂³	—	2	1	no	—
791	C₂³	—	2	1	no	—
792	C₂³	—	2	1	no	—
793	C₂³	—	2	1	no	—
794	C₂³	—	2	1	no	—
795	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
796	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
797	Q₈	—	4	8	no	—
798	Q₈	—	4	8	no	—
799	C₂×C₄	—	2	2	no	—
800	C₂×C₄	—	2	2	no	—
801	C₂×C₄	—	2	1	no	—
802	C₂×C₄	—	2	1	no	—
803	C₂×C₄	—	2	2	no	—
804	C₂×C₄	—	2	1	no	—
805	C₂×C₄	—	2	2	no	—
806	C₂×C₄	—	2	1	no	—
807	C₂×C₄	—	2	1	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	1	no	—
813	C₂×C₄	—	2	1	no	—
814	C₂×C₄	—	2	2	no	—
815	C₂×C₄	—	2	1	no	—
816	C₂×C₄	—	2	2	no	—
817	C₂×C₄	—	2	1	no	—
818	C₂×C₄	—	2	2	no	—
819	C₂×C₄	—	2	2	no	—
820	C₂×C₄	—	2	1	no	—
821	C₂×C₄	—	2	8	no	—
822	C₂×C₄	—	2	2	no	—
823	C₂×C₄	—	2	2	no	—
824	C₂×C₄	—	2	1	no	—
825	C₂×C₄	—	2	1	no	—
826	C₂×C₄	—	2	2	no	—
827	C₂×C₄	—	2	1	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	1	no	—
833	C₂×C₄	—	2	1	no	—
834	C₂×C₄	—	2	1	no	—
835	C₂×C₄	—	2	1	no	—
836	C₂×C₄	—	2	2	no	—
837	C₂×C₄	—	2	2	no	—
838	C₂×C₄	—	2	2	no	—
839	C₂×C₄	—	2	1	no	—
840	C₂×C₄	—	2	2	no	—
841	C₂×C₄	—	2	1	no	—
842	C₂×C₄	—	2	1	no	—
843	C₂×C₄	—	2	2	no	—
844	C₂×C₄	—	2	2	no	—
845	C₂×C₄	—	2	1	no	—
846	C₂×C₄	—	2	1	no	—
847	C₂×C₄	—	2	2	no	—
848	C₂×C₄	—	2	1	no	—
849	C₂×C₄	—	2	2	no	—
850	C₂×C₄	—	2	1	no	—
851	C₂×C₄	—	2	1	no	—
852	C₂×C₄	—	4	8	no	—
853	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
854	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
855	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
856	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
857	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
858	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
859	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
860	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
861	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
862	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
863	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
864	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
865	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
866	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
867	C₂²	—	2	2	no	—
868	C₂²	—	2	2	no	—
869	C₂²	—	2	2	no	—
870	C₂²	—	4	1	no	—
871	C₂²	—	4	1	no	—
872	C₂²	—	4	1	no	—
873	C₂²	—	4	1	no	—
874	C₂²	C₂⁴×C₄×C₁₁	1	1	yes	characteristic
875	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
876	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
877	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
878	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
879	C₂²	C₁₁×#585	1	1	yes	characteristic
880	C₂²	C₁₁×#585	1	1	yes	characteristic
881	C₄	—	2	2	no	—
882	C₄	—	2	4	no	—
883	C₄	—	2	4	no	—
884	C₄	—	2	4	no	—
885	C₄	—	2	2	no	—
886	C₄	—	2	2	no	—
887	C₄	—	2	2	no	—
888	C₄	—	2	4	no	—
889	C₄	—	2	2	no	—
890	C₄	—	2	2	no	—
891	C₄	—	2	2	no	—
892	C₄	—	4	2	no	—
893	C₄	—	4	1	no	—
894	C₄	—	4	2	no	—
895	C₄	—	4	2	no	—
896	C₄	—	4	1	no	—
897	C₄	—	4	1	no	—
898	C₄	—	4	1	no	—
899	C₄	—	4	1	no	—
900	C₄	—	4	1	no	—
901	C₄	—	4	2	no	—
902	C₄	C₁₁×#519	1	4	yes	—
903	C₂	—	4	2	no	—
904	C₂	C₂×C₁₁×#519	1	1	yes	characteristic
905	C₂	C₄×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
906	C₂	C₄×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
907	C₂	C₁₁×#3544	1	1	yes	characteristic
908	C₂	C₁₁×#3547	1	1	yes	characteristic
909	C₂	C₁₁×#3563	1	1	yes	characteristic
910	C₂	C₁₁×#3565	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
2. C₁₁×#2382	C₂	semidirect
4. C₁₁×#2371	C₂	semidirect
5. C₁₁×#2370	C₂	semidirect
6. C₁₁×#2370	C₂	semidirect
7. C₁₁×#2369	C₂	semidirect
8. C₁₁×#2365	C₂	semidirect
15. C₁₁×#2331	C₂	semidirect
16. C₁₁×#2331	C₂	semidirect
17. C₁₁×#2330	C₂	semidirect
18. C₁₁×#2327	C₂	semidirect
21. C₄×C₁₁×C₄⋊Q₈	C₂	semidirect
22. C₄×C₁₁×#125	C₂	semidirect
24. C₁₁×#544	C₄	semidirect
237. #34435	C₁₁	direct (N × H)
335. #2382	C₂×C₁₁	semidirect
337. #2371	C₂×C₁₁	semidirect
338. #2370	C₂×C₁₁	semidirect
339. #2370	C₂×C₁₁	semidirect
340. #2369	C₂×C₁₁	semidirect
341. #2365	C₂×C₁₁	semidirect
348. #2331	C₂×C₁₁	semidirect
349. #2331	C₂×C₁₁	semidirect
350. #2330	C₂×C₁₁	semidirect
351. #2327	C₂×C₁₁	semidirect
354. C₄×C₄⋊Q₈	C₂×C₁₁	semidirect
355. C₄×#125	C₂×C₁₁	semidirect
435. #544	C₄×C₁₁	semidirect
788. C₁₁	#34435	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×#544	2
C₁₁×#2382	2
C₁₁×#2378	2
C₁₁×#2371	2
C₁₁×#2370	2
C₁₁×#2369	2
C₁₁×#2365	2
C₁₁×#2362	2
C₁₁×#2346	2
C₁₁×#2345	2
C₁₁×#2344	2
C₁₁×#2332	2
C₁₁×#2331	2
C₁₁×#2330	2
C₁₁×#2327	2
C₁₁×#2323	2
C₁₁×#2314	2
C₄×C₁₁×C₄⋊Q₈	2
C₄×C₁₁×#125	2
C₁₁×#2298	2
#34435	11

Subgroups — C11×#34435 #14611628

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#34435 #14611628