Subgroups — C₁₁×#59963 #14637156

Order 2816.

1500 conjugacy classes of subgroups.

The subgroup lattice has 848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2767	C₂	1	2	yes	maximal
2	C₁₁×#2719	C₂	1	2	yes	maximal
3	C₁₁×#2585	C₂	1	2	yes	maximal
4	C₁₁×#2533	C₂	1	2	yes	maximal
5	C₁₁×#2533	C₂	1	2	yes	maximal
6	C₁₁×#2528	C₂	1	2	yes	maximal
7	C₁₁×#2528	C₂	1	2	yes	maximal
8	C₁₁×#2514	C₂	1	1	yes	maximal, characteristic
9	C₁₁×#2511	C₂	1	1	yes	maximal, characteristic
10	C₁₁×#2509	C₂	1	1	yes	maximal, characteristic
11	C₁₁×#2506	C₂	1	1	yes	maximal, characteristic
12	C₁₁×#2453	C₂	1	1	yes	maximal, characteristic
13	C₁₁×#2453	C₂	1	1	yes	maximal, characteristic
14	C₁₁×#2446	C₂	1	1	yes	maximal, characteristic
15	C₁₁×#2446	C₂	1	1	yes	maximal, characteristic
16	C₁₁×#2370	C₂	1	1	yes	maximal, characteristic
17	C₁₁×#2370	C₂	1	2	yes	maximal
18	C₁₁×#2365	C₂	1	1	yes	maximal, characteristic
19	C₁₁×#2355	C₂	1	1	yes	maximal, characteristic
20	C₁₁×#2351	C₂	1	1	yes	maximal, characteristic
21	C₄×C₁₁×#125	C₂	1	1	yes	maximal, characteristic
22	C₁₁×#2295	C₂	1	1	yes	maximal, characteristic
23	C₁₁×#2295	C₂	1	1	yes	maximal, characteristic
24	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic
26	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic
27	C₂×C₁₁×#125	C₂²	1	2	yes	—
28	C₂×C₄×Q₈×C₁₁	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	C₁₁×#401	C₂²	1	2	yes	—
33	C₁₁×#400	C₂²	1	2	yes	—
34	C₁₁×#400	C₂²	1	2	yes	—
35	C₁₁×#400	C₂²	1	2	yes	—
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×#400	C₂²	1	2	yes	—
42	C₁₁×#400	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×#398	C₂²	1	2	yes	—
47	C₁₁×#398	C₂²	1	2	yes	—
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	1	yes	characteristic
52	C₁₁×#391	C₂²	1	1	yes	characteristic
53	C₁₁×#391	C₂²	1	1	yes	characteristic
54	C₁₁×#391	C₂²	1	1	yes	characteristic
55	C₁₁×#391	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×#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	2	yes	—
64	C₁₁×#389	C₂²	1	2	yes	—
65	C₁₁×#389	C₂²	1	2	yes	—
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	2	yes	—
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×#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×#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	1	yes	characteristic
92	C₁₁×#387	C₂²	1	2	yes	—
93	C₁₁×#387	C₂²	1	2	yes	—
94	C₁₁×#387	C₂²	1	2	yes	—
95	C₁₁×#387	C₂²	1	1	yes	characteristic
96	C₁₁×#387	C₂²	1	1	yes	characteristic
97	C₁₁×#387	C₂²	1	2	yes	—
98	C₁₁×#384	C₂²	1	1	yes	characteristic
99	C₁₁×#383	C₂²	1	2	yes	—
100	C₁₁×#382	C₂²	1	2	yes	—
101	C₁₁×#382	C₂²	1	1	yes	characteristic
102	C₁₁×#382	C₂²	1	1	yes	characteristic
103	C₁₁×#382	C₂²	1	2	yes	—
104	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
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	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	1	yes	characteristic
113	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
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	2	yes	—
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	C₁₁×#376	C₂²	1	2	yes	—
121	C₁₁×#376	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	C₁₁×C₄⋊Q₈	—	2	4	no	—
126	C₁₁×#125	—	2	4	no	—
127	C₁₁×#125	—	2	4	no	—
128	C₁₁×#125	—	2	8	no	—
129	C₄×Q₈×C₁₁	—	2	4	no	—
130	C₄×Q₈×C₁₁	—	2	4	no	—
131	C₄×Q₈×C₁₁	—	2	4	no	—
132	C₄×Q₈×C₁₁	—	2	4	no	—
133	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
134	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
135	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
136	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
137	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
138	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
139	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
144	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
145	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
149	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
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	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	1	yes	characteristic
168	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
169	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
170	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
171	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
172	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
173	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
174	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
175	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
176	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
177	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
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	2	yes	—
184	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
185	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
186	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
187	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
188	C₁₁×#95	C₂³	1	2	yes	—
189	C₁₁×#95	C₂³	1	2	yes	—
190	C₁₁×#95	C₂³	1	2	yes	—
191	C₁₁×#95	C₂³	1	2	yes	—
192	C₁₁×#95	C₂³	1	2	yes	—
193	C₁₁×#95	C₂³	1	2	yes	—
194	C₁₁×#95	C₂³	1	2	yes	—
195	C₁₁×#95	C₂³	1	2	yes	—
196	C₁₁×#95	C₂³	1	1	yes	characteristic
197	C₁₁×#95	C₂³	1	1	yes	characteristic
198	C₁₁×#95	C₂³	1	2	yes	—
199	C₁₁×#95	C₂³	1	1	yes	characteristic
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	2	yes	—
204	C₁₁×#95	C₂³	1	1	yes	characteristic
205	C₁₁×#95	C₂³	1	2	yes	—
206	C₁₁×#95	C₂³	1	1	yes	characteristic
207	C₁₁×#95	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	1	yes	characteristic
211	C₁₁×#95	C₂³	1	1	yes	characteristic
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	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	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	#59963	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
231	C₂×Q₈×C₁₁	—	2	2	no	—
232	C₂×Q₈×C₁₁	—	2	2	no	—
233	C₂×Q₈×C₁₁	—	2	2	no	—
234	C₂×Q₈×C₁₁	—	2	2	no	—
235	C₂×Q₈×C₁₁	—	2	2	no	—
236	C₂×Q₈×C₁₁	#41	1	4	yes	—
237	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
238	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
239	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
240	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
241	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
242	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
243	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
244	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
245	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
246	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
247	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
248	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
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	2	yes	—
253	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
254	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
255	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
256	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
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	C₁₁×C₄⋊C₄	—	2	4	no	—
261	C₁₁×C₄⋊C₄	—	2	4	no	—
262	C₁₁×C₄⋊C₄	—	2	4	no	—
263	C₁₁×C₄⋊C₄	—	2	2	no	—
264	C₁₁×C₄⋊C₄	—	2	2	no	—
265	C₁₁×C₄⋊C₄	—	2	4	no	—
266	C₁₁×C₄⋊C₄	—	2	4	no	—
267	C₁₁×C₄⋊C₄	—	2	4	no	—
268	C₁₁×C₄⋊C₄	—	2	2	no	—
269	C₁₁×C₄⋊C₄	—	2	2	no	—
270	C₁₁×C₄⋊C₄	—	2	4	no	—
271	C₁₁×C₄⋊C₄	—	2	4	no	—
272	C₁₁×C₄⋊C₄	—	2	4	no	—
273	C₁₁×C₄⋊C₄	—	2	2	no	—
274	C₁₁×C₄⋊C₄	—	2	4	no	—
275	C₁₁×C₄⋊C₄	—	2	2	no	—
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	2	no	—
282	C₁₁×C₄⋊C₄	—	2	2	no	—
283	C₁₁×C₄⋊C₄	—	2	4	no	—
284	C₁₁×C₄⋊C₄	—	2	2	no	—
285	C₁₁×C₄⋊C₄	—	2	2	no	—
286	C₁₁×C₄⋊C₄	—	2	4	no	—
287	C₁₁×C₄⋊C₄	—	2	2	no	—
288	C₁₁×C₄⋊C₄	—	2	2	no	—
289	C₁₁×C₄⋊C₄	—	4	1	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	#41	1	4	yes	—
295	C₁₁×C₄⋊C₄	#41	1	4	yes	—
296	C₄²×C₁₁	—	2	4	no	—
297	C₄²×C₁₁	—	2	4	no	—
298	C₄²×C₁₁	—	2	2	no	—
299	C₄²×C₁₁	—	2	2	no	—
300	C₄²×C₁₁	—	2	2	no	—
301	C₄²×C₁₁	—	2	4	no	—
302	C₄²×C₁₁	—	2	4	no	—
303	C₄²×C₁₁	—	2	2	no	—
304	C₄²×C₁₁	—	2	4	no	—
305	C₄²×C₁₁	—	2	2	no	—
306	C₄²×C₁₁	—	2	2	no	—
307	C₄²×C₁₁	—	2	2	no	—
308	C₄²×C₁₁	—	2	2	no	—
309	C₄²×C₁₁	—	2	2	no	—
310	C₄²×C₁₁	—	2	2	no	—
311	C₄²×C₁₁	—	4	1	no	—
312	C₄²×C₁₁	—	4	2	no	—
313	C₄²×C₁₁	—	4	2	no	—
314	C₄²×C₁₁	—	4	2	no	—
315	#2767	C₂×C₁₁	1	2	yes	—
316	#2719	C₂×C₁₁	1	2	yes	—
317	#2585	C₂×C₁₁	1	2	yes	—
318	#2533	C₂×C₁₁	1	2	yes	—
319	#2533	C₂×C₁₁	1	2	yes	—
320	#2528	C₂×C₁₁	1	2	yes	—
321	#2528	C₂×C₁₁	1	2	yes	—
322	#2514	C₂×C₁₁	1	1	yes	characteristic
323	#2511	C₂×C₁₁	1	1	yes	characteristic
324	#2509	C₂×C₁₁	1	1	yes	characteristic
325	#2506	C₂×C₁₁	1	1	yes	characteristic
326	#2453	C₂×C₁₁	1	1	yes	characteristic
327	#2453	C₂×C₁₁	1	1	yes	characteristic
328	#2446	C₂×C₁₁	1	1	yes	characteristic
329	#2446	C₂×C₁₁	1	1	yes	characteristic
330	#2370	C₂×C₁₁	1	1	yes	characteristic
331	#2370	C₂×C₁₁	1	2	yes	—
332	#2365	C₂×C₁₁	1	1	yes	characteristic
333	#2355	C₂×C₁₁	1	1	yes	characteristic
334	#2351	C₂×C₁₁	1	1	yes	characteristic
335	C₄×#125	C₂×C₁₁	1	1	yes	characteristic
336	#2295	C₂×C₁₁	1	1	yes	characteristic
337	#2295	C₂×C₁₁	1	1	yes	characteristic
338	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
339	Q₈×C₁₁	—	2	8	no	—
340	Q₈×C₁₁	—	4	4	no	—
341	C₂×C₄×C₁₁	—	2	1	no	—
342	C₂×C₄×C₁₁	—	2	1	no	—
343	C₂×C₄×C₁₁	—	2	1	no	—
344	C₂×C₄×C₁₁	—	2	1	no	—
345	C₂×C₄×C₁₁	—	2	2	no	—
346	C₂×C₄×C₁₁	—	2	2	no	—
347	C₂×C₄×C₁₁	—	2	1	no	—
348	C₂×C₄×C₁₁	—	2	1	no	—
349	C₂×C₄×C₁₁	—	2	2	no	—
350	C₂×C₄×C₁₁	—	2	1	no	—
351	C₂×C₄×C₁₁	—	2	2	no	—
352	C₂×C₄×C₁₁	—	2	1	no	—
353	C₂×C₄×C₁₁	—	2	1	no	—
354	C₂×C₄×C₁₁	—	2	1	no	—
355	C₂×C₄×C₁₁	—	2	1	no	—
356	C₂×C₄×C₁₁	—	2	1	no	—
357	C₂×C₄×C₁₁	—	2	1	no	—
358	C₂×C₄×C₁₁	—	2	2	no	—
359	C₂×C₄×C₁₁	—	2	1	no	—
360	C₂×C₄×C₁₁	—	2	1	no	—
361	C₂×C₄×C₁₁	—	2	1	no	—
362	C₂×C₄×C₁₁	—	2	1	no	—
363	C₂×C₄×C₁₁	—	2	2	no	—
364	C₂×C₄×C₁₁	—	2	2	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	2	no	—
369	C₂×C₄×C₁₁	—	2	2	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	2	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	1	no	—
379	C₂×C₄×C₁₁	—	2	1	no	—
380	C₂×C₄×C₁₁	—	2	2	no	—
381	C₂×C₄×C₁₁	—	2	1	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	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	2	no	—
392	C₂×C₄×C₁₁	—	2	2	no	—
393	C₂×C₄×C₁₁	—	2	2	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	1	no	—
398	C₂×C₄×C₁₁	—	2	1	no	—
399	C₂×C₄×C₁₁	—	2	1	no	—
400	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
401	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
402	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
403	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
404	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
405	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
406	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
407	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
408	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
409	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
410	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
411	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
412	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
413	C₂×#125	C₂²×C₁₁	1	2	yes	—
414	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
415	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
416	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
417	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
418	#401	C₂²×C₁₁	1	2	yes	—
419	#400	C₂²×C₁₁	1	2	yes	—
420	#400	C₂²×C₁₁	1	2	yes	—
421	#400	C₂²×C₁₁	1	2	yes	—
422	#400	C₂²×C₁₁	1	2	yes	—
423	#400	C₂²×C₁₁	1	2	yes	—
424	#400	C₂²×C₁₁	1	2	yes	—
425	#400	C₂²×C₁₁	1	2	yes	—
426	#400	C₂²×C₁₁	1	2	yes	—
427	#400	C₂²×C₁₁	1	2	yes	—
428	#400	C₂²×C₁₁	1	2	yes	—
429	#398	C₂²×C₁₁	1	2	yes	—
430	#398	C₂²×C₁₁	1	2	yes	—
431	#398	C₂²×C₁₁	1	2	yes	—
432	#398	C₂²×C₁₁	1	2	yes	—
433	#398	C₂²×C₁₁	1	2	yes	—
434	#391	C₂²×C₁₁	1	1	yes	characteristic
435	#391	C₂²×C₁₁	1	1	yes	characteristic
436	#391	C₂²×C₁₁	1	1	yes	characteristic
437	#391	C₂²×C₁₁	1	1	yes	characteristic
438	#391	C₂²×C₁₁	1	1	yes	characteristic
439	#391	C₂²×C₁₁	1	1	yes	characteristic
440	#391	C₂²×C₁₁	1	1	yes	characteristic
441	#391	C₂²×C₁₁	1	1	yes	characteristic
442	#389	C₂²×C₁₁	1	1	yes	characteristic
443	#389	C₂²×C₁₁	1	1	yes	characteristic
444	#389	C₂²×C₁₁	1	2	yes	—
445	#389	C₂²×C₁₁	1	2	yes	—
446	#389	C₂²×C₁₁	1	1	yes	characteristic
447	#389	C₂²×C₁₁	1	1	yes	characteristic
448	#389	C₂²×C₁₁	1	2	yes	—
449	#389	C₂²×C₁₁	1	2	yes	—
450	#389	C₂²×C₁₁	1	1	yes	characteristic
451	#389	C₂²×C₁₁	1	2	yes	—
452	#389	C₂²×C₁₁	1	2	yes	—
453	#389	C₂²×C₁₁	1	2	yes	—
454	#389	C₂²×C₁₁	1	1	yes	characteristic
455	#389	C₂²×C₁₁	1	1	yes	characteristic
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	#387	C₂²×C₁₁	1	1	yes	characteristic
460	#387	C₂²×C₁₁	1	1	yes	characteristic
461	#387	C₂²×C₁₁	1	1	yes	characteristic
462	#387	C₂²×C₁₁	1	1	yes	characteristic
463	#387	C₂²×C₁₁	1	2	yes	—
464	#387	C₂²×C₁₁	1	2	yes	—
465	#387	C₂²×C₁₁	1	2	yes	—
466	#387	C₂²×C₁₁	1	2	yes	—
467	#387	C₂²×C₁₁	1	2	yes	—
468	#387	C₂²×C₁₁	1	2	yes	—
469	#387	C₂²×C₁₁	1	2	yes	—
470	#387	C₂²×C₁₁	1	2	yes	—
471	#387	C₂²×C₁₁	1	2	yes	—
472	#387	C₂²×C₁₁	1	2	yes	—
473	#387	C₂²×C₁₁	1	2	yes	—
474	#387	C₂²×C₁₁	1	2	yes	—
475	#387	C₂²×C₁₁	1	2	yes	—
476	#387	C₂²×C₁₁	1	2	yes	—
477	#387	C₂²×C₁₁	1	2	yes	—
478	#387	C₂²×C₁₁	1	2	yes	—
479	#387	C₂²×C₁₁	1	2	yes	—
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	#384	C₂²×C₁₁	1	1	yes	characteristic
485	#383	C₂²×C₁₁	1	2	yes	—
486	#382	C₂²×C₁₁	1	1	yes	characteristic
487	#382	C₂²×C₁₁	1	1	yes	characteristic
488	#382	C₂²×C₁₁	1	2	yes	—
489	#382	C₂²×C₁₁	1	2	yes	—
490	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
491	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
492	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
493	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
494	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
495	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
496	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
497	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
498	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
499	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
500	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
501	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
502	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
503	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
504	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
505	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
506	#376	C₂²×C₁₁	1	2	yes	—
507	#376	C₂²×C₁₁	1	2	yes	—
508	C₄³	C₂²×C₁₁	1	1	yes	characteristic
509	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
510	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
511	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
512	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
513	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
514	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
515	C₂²×C₁₁	#585	1	1	yes	characteristic
516	C₄×C₁₁	—	2	4	no	—
517	C₄×C₁₁	—	2	2	no	—
518	C₄×C₁₁	—	2	2	no	—
519	C₄×C₁₁	—	2	4	no	—
520	C₄×C₁₁	—	2	2	no	—
521	C₄×C₁₁	—	2	2	no	—
522	C₄×C₁₁	—	2	2	no	—
523	C₄×C₁₁	—	4	2	no	—
524	C₄×C₁₁	—	4	1	no	—
525	C₄×C₁₁	—	4	1	no	—
526	C₄×C₁₁	—	4	2	no	—
527	C₄×C₁₁	—	4	1	no	—
528	C₄×C₁₁	—	4	1	no	—
529	C₄×C₁₁	—	4	2	no	—
530	C₄×C₁₁	—	4	2	no	—
531	C₄×C₁₁	—	4	1	no	—
532	C₄×C₁₁	—	4	2	no	—
533	C₄×C₁₁	—	4	1	no	—
534	C₄×C₁₁	—	4	1	no	—
535	C₄×C₁₁	—	4	1	no	—
536	C₄×C₁₁	—	4	2	no	—
537	C₄×C₁₁	—	4	1	no	—
538	C₄×C₁₁	#552	1	4	yes	—
539	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
540	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
541	C₄⋊Q₈	—	2	4	no	—
542	#125	—	2	4	no	—
543	#125	—	2	4	no	—
544	#125	—	2	8	no	—
545	C₄×Q₈	—	2	4	no	—
546	C₄×Q₈	—	2	4	no	—
547	C₄×Q₈	—	2	4	no	—
548	C₄×Q₈	—	2	4	no	—
549	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
550	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
551	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
552	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
553	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
554	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
555	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
556	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
557	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
558	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
559	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
560	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
561	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
562	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
563	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
564	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
565	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
566	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
567	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
568	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
569	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
570	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
571	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
572	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
573	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
574	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
575	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
576	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
577	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
578	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
579	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
580	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
581	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
582	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
583	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
584	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
585	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
586	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
587	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
588	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
589	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
590	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
591	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
592	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
593	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
594	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
595	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
596	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
597	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
598	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
599	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
600	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
601	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
602	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
603	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
604	#95	C₂³×C₁₁	1	2	yes	—
605	#95	C₂³×C₁₁	1	2	yes	—
606	#95	C₂³×C₁₁	1	2	yes	—
607	#95	C₂³×C₁₁	1	2	yes	—
608	#95	C₂³×C₁₁	1	2	yes	—
609	#95	C₂³×C₁₁	1	2	yes	—
610	#95	C₂³×C₁₁	1	2	yes	—
611	#95	C₂³×C₁₁	1	2	yes	—
612	#95	C₂³×C₁₁	1	1	yes	characteristic
613	#95	C₂³×C₁₁	1	1	yes	characteristic
614	#95	C₂³×C₁₁	1	2	yes	—
615	#95	C₂³×C₁₁	1	1	yes	characteristic
616	#95	C₂³×C₁₁	1	2	yes	—
617	#95	C₂³×C₁₁	1	1	yes	characteristic
618	#95	C₂³×C₁₁	1	1	yes	characteristic
619	#95	C₂³×C₁₁	1	1	yes	characteristic
620	#95	C₂³×C₁₁	1	2	yes	—
621	#95	C₂³×C₁₁	1	2	yes	—
622	#95	C₂³×C₁₁	1	1	yes	characteristic
623	#95	C₂³×C₁₁	1	1	yes	characteristic
624	#95	C₂³×C₁₁	1	1	yes	characteristic
625	#95	C₂³×C₁₁	1	2	yes	—
626	#95	C₂³×C₁₁	1	1	yes	characteristic
627	#95	C₂³×C₁₁	1	1	yes	characteristic
628	#95	C₂³×C₁₁	1	2	yes	—
629	#95	C₂³×C₁₁	1	1	yes	characteristic
630	#95	C₂³×C₁₁	1	2	yes	—
631	#95	C₂³×C₁₁	1	2	yes	—
632	#95	C₂³×C₁₁	1	2	yes	—
633	#95	C₂³×C₁₁	1	2	yes	—
634	#95	C₂³×C₁₁	1	2	yes	—
635	#95	C₂³×C₁₁	1	2	yes	—
636	#95	C₂³×C₁₁	1	2	yes	—
637	#95	C₂³×C₁₁	1	2	yes	—
638	#95	C₂³×C₁₁	1	2	yes	—
639	#95	C₂³×C₁₁	1	2	yes	—
640	#95	C₂³×C₁₁	1	2	yes	—
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	2	yes	—
645	#95	C₂³×C₁₁	1	2	yes	—
646	C₂×C₁₁	C₂×#552	1	1	yes	characteristic
647	C₂×C₁₁	#3482	1	1	yes	characteristic
648	C₂×C₁₁	#3482	1	1	yes	characteristic
649	C₂×C₁₁	#3507	1	1	yes	characteristic
650	C₂×C₁₁	#3516	1	1	yes	characteristic
651	C₂×C₁₁	#3516	1	1	yes	characteristic
652	C₂×C₁₁	#3556	1	1	yes	characteristic
653	C₂×Q₈	—	2	2	no	—
654	C₂×Q₈	—	2	2	no	—
655	C₂×Q₈	—	2	2	no	—
656	C₂×Q₈	—	2	2	no	—
657	C₂×Q₈	—	2	2	no	—
658	C₂×Q₈	C₁₁×#41	1	4	yes	—
659	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
660	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
661	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
662	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
663	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
664	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
665	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
666	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
667	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
668	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
669	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
670	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
671	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
672	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
673	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
674	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
675	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
676	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
677	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
678	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
679	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
680	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
681	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
682	C₄⋊C₄	—	2	4	no	—
683	C₄⋊C₄	—	2	4	no	—
684	C₄⋊C₄	—	2	4	no	—
685	C₄⋊C₄	—	2	2	no	—
686	C₄⋊C₄	—	2	2	no	—
687	C₄⋊C₄	—	2	4	no	—
688	C₄⋊C₄	—	2	4	no	—
689	C₄⋊C₄	—	2	4	no	—
690	C₄⋊C₄	—	2	2	no	—
691	C₄⋊C₄	—	2	2	no	—
692	C₄⋊C₄	—	2	4	no	—
693	C₄⋊C₄	—	2	4	no	—
694	C₄⋊C₄	—	2	4	no	—
695	C₄⋊C₄	—	2	2	no	—
696	C₄⋊C₄	—	2	4	no	—
697	C₄⋊C₄	—	2	2	no	—
698	C₄⋊C₄	—	2	4	no	—
699	C₄⋊C₄	—	2	2	no	—
700	C₄⋊C₄	—	2	2	no	—
701	C₄⋊C₄	—	2	4	no	—
702	C₄⋊C₄	—	2	4	no	—
703	C₄⋊C₄	—	2	2	no	—
704	C₄⋊C₄	—	2	2	no	—
705	C₄⋊C₄	—	2	4	no	—
706	C₄⋊C₄	—	2	2	no	—
707	C₄⋊C₄	—	2	2	no	—
708	C₄⋊C₄	—	2	4	no	—
709	C₄⋊C₄	—	2	2	no	—
710	C₄⋊C₄	—	2	2	no	—
711	C₄⋊C₄	—	4	1	no	—
712	C₄⋊C₄	—	4	1	no	—
713	C₄⋊C₄	—	4	2	no	—
714	C₄⋊C₄	—	4	2	no	—
715	C₄⋊C₄	—	4	2	no	—
716	C₄⋊C₄	C₁₁×#41	1	4	yes	—
717	C₄⋊C₄	C₁₁×#41	1	4	yes	—
718	C₄²	—	2	4	no	—
719	C₄²	—	2	4	no	—
720	C₄²	—	2	2	no	—
721	C₄²	—	2	2	no	—
722	C₄²	—	2	2	no	—
723	C₄²	—	2	4	no	—
724	C₄²	—	2	4	no	—
725	C₄²	—	2	2	no	—
726	C₄²	—	2	4	no	—
727	C₄²	—	2	2	no	—
728	C₄²	—	2	2	no	—
729	C₄²	—	2	2	no	—
730	C₄²	—	2	2	no	—
731	C₄²	—	2	2	no	—
732	C₄²	—	2	2	no	—
733	C₄²	—	4	1	no	—
734	C₄²	—	4	2	no	—
735	C₄²	—	4	2	no	—
736	C₄²	—	4	2	no	—
737	C₁₁	#59963	1	1	yes	characteristic, direct product factor, Sylow
738	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
739	Q₈	—	2	8	no	—
740	Q₈	—	4	4	no	—
741	C₂×C₄	—	2	1	no	—
742	C₂×C₄	—	2	1	no	—
743	C₂×C₄	—	2	1	no	—
744	C₂×C₄	—	2	1	no	—
745	C₂×C₄	—	2	2	no	—
746	C₂×C₄	—	2	2	no	—
747	C₂×C₄	—	2	1	no	—
748	C₂×C₄	—	2	1	no	—
749	C₂×C₄	—	2	2	no	—
750	C₂×C₄	—	2	1	no	—
751	C₂×C₄	—	2	2	no	—
752	C₂×C₄	—	2	1	no	—
753	C₂×C₄	—	2	1	no	—
754	C₂×C₄	—	2	1	no	—
755	C₂×C₄	—	2	1	no	—
756	C₂×C₄	—	2	1	no	—
757	C₂×C₄	—	2	1	no	—
758	C₂×C₄	—	2	2	no	—
759	C₂×C₄	—	2	1	no	—
760	C₂×C₄	—	2	1	no	—
761	C₂×C₄	—	2	1	no	—
762	C₂×C₄	—	2	1	no	—
763	C₂×C₄	—	2	2	no	—
764	C₂×C₄	—	2	2	no	—
765	C₂×C₄	—	2	1	no	—
766	C₂×C₄	—	2	1	no	—
767	C₂×C₄	—	2	1	no	—
768	C₂×C₄	—	2	2	no	—
769	C₂×C₄	—	2	2	no	—
770	C₂×C₄	—	2	1	no	—
771	C₂×C₄	—	2	1	no	—
772	C₂×C₄	—	2	2	no	—
773	C₂×C₄	—	2	2	no	—
774	C₂×C₄	—	2	2	no	—
775	C₂×C₄	—	2	1	no	—
776	C₂×C₄	—	2	1	no	—
777	C₂×C₄	—	2	1	no	—
778	C₂×C₄	—	2	1	no	—
779	C₂×C₄	—	2	1	no	—
780	C₂×C₄	—	2	2	no	—
781	C₂×C₄	—	2	1	no	—
782	C₂×C₄	—	2	1	no	—
783	C₂×C₄	—	2	2	no	—
784	C₂×C₄	—	2	2	no	—
785	C₂×C₄	—	2	1	no	—
786	C₂×C₄	—	2	2	no	—
787	C₂×C₄	—	2	1	no	—
788	C₂×C₄	—	2	1	no	—
789	C₂×C₄	—	2	1	no	—
790	C₂×C₄	—	2	2	no	—
791	C₂×C₄	—	2	2	no	—
792	C₂×C₄	—	2	2	no	—
793	C₂×C₄	—	2	2	no	—
794	C₂×C₄	—	2	1	no	—
795	C₂×C₄	—	2	2	no	—
796	C₂×C₄	—	2	2	no	—
797	C₂×C₄	—	2	1	no	—
798	C₂×C₄	—	2	1	no	—
799	C₂×C₄	—	2	1	no	—
800	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
801	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
802	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
803	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
804	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
805	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
806	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
807	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
808	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
809	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
810	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
811	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
812	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
813	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
814	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
815	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
816	C₂²	C₁₁×#585	1	1	yes	characteristic
817	C₄	—	2	4	no	—
818	C₄	—	2	2	no	—
819	C₄	—	2	2	no	—
820	C₄	—	2	4	no	—
821	C₄	—	2	2	no	—
822	C₄	—	2	2	no	—
823	C₄	—	2	2	no	—
824	C₄	—	4	2	no	—
825	C₄	—	4	1	no	—
826	C₄	—	4	1	no	—
827	C₄	—	4	2	no	—
828	C₄	—	4	1	no	—
829	C₄	—	4	1	no	—
830	C₄	—	4	2	no	—
831	C₄	—	4	2	no	—
832	C₄	—	4	1	no	—
833	C₄	—	4	2	no	—
834	C₄	—	4	1	no	—
835	C₄	—	4	1	no	—
836	C₄	—	4	1	no	—
837	C₄	—	4	2	no	—
838	C₄	—	4	1	no	—
839	C₄	C₁₁×#552	1	4	yes	—
840	C₂	C₂×C₁₁×#552	1	1	yes	characteristic
841	C₂	C₁₁×#3482	1	1	yes	characteristic
842	C₂	C₁₁×#3482	1	1	yes	characteristic
843	C₂	C₁₁×#3507	1	1	yes	characteristic
844	C₂	C₁₁×#3516	1	1	yes	characteristic
845	C₂	C₁₁×#3516	1	1	yes	characteristic
846	C₂	C₁₁×#3556	1	1	yes	characteristic

	subgroup	G/H
center, socle, prime radical	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
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
230. #59963	C₁₁	direct (N × H)
737. C₁₁	#59963	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×#2767	2
C₁₁×#2719	2
C₁₁×#2585	2
C₁₁×#2533	2
C₁₁×#2528	2
C₁₁×#2514	2
C₁₁×#2511	2
C₁₁×#2509	2
C₁₁×#2506	2
C₁₁×#2453	2
C₁₁×#2446	2
C₁₁×#2370	2
C₁₁×#2365	2
C₁₁×#2355	2
C₁₁×#2351	2
C₄×C₁₁×#125	2
C₁₁×#2295	2
#59963	11

Subgroups — C11×#59963 #14637156

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#59963 #14637156