Subgroups — C₁₁×#60707 #14637900

Order 2816.

1980 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3494	C₂	1	2	yes	maximal, complemented
2	C₁₁×#3180	C₂	1	4	yes	maximal, complemented
3	C₁₁×#3179	C₂	1	4	yes	maximal, complemented
4	C₁₁×#3176	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3175	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3169	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3168	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3164	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#3155	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3136	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3055	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3050	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₁₁×#466	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#2951	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2948	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2946	C₂	1	2	yes	maximal, complemented
17	C₂×C₁₁×#405	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	—
19	C₂×C₁₁×#135	C₂²	1	1	yes	characteristic
20	C₂²×C₁₁×D₈	C₂²	1	1	yes	characteristic
21	C₂²×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
22	C₂³×C₈×C₁₁	C₂²	1	1	yes	characteristic
23	C₁₁×#555	—	2	2	no	—
24	C₁₁×#553	—	2	2	no	—
25	C₁₁×#553	—	2	2	no	—
26	C₁₁×#551	—	2	4	no	—
27	C₁₁×#547	—	2	2	no	—
28	C₁₁×#546	—	2	4	no	—
29	C₁₁×#544	C₂²	1	2	yes	—
30	C₁₁×#542	C₂²	1	4	yes	complemented
31	C₁₁×#540	C₂²	1	4	yes	complemented
32	C₁₁×#535	C₂²	1	2	yes	—
33	C₁₁×#532	C₂²	1	4	yes	complemented
34	C₁₁×#529	C₂²	1	4	yes	complemented
35	C₁₁×#525	C₂²	1	2	yes	—
36	C₂×C₁₁×#121	C₂²	1	2	yes	—
37	C₁₁×#520	C₂²	1	2	yes	—
38	C₁₁×#518	C₂²	1	2	yes	—
39	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
40	C₁₁×#501	C₂²	1	4	yes	complemented
41	C₁₁×#500	C₂²	1	2	yes	complemented
42	C₁₁×#499	C₂²	1	2	yes	complemented
43	C₁₁×#496	C₂²	1	4	yes	complemented
44	C₁₁×#495	C₂²	1	2	yes	complemented
45	C₁₁×#493	C₂²	1	2	yes	complemented
46	C₁₁×#490	C₂²	1	4	yes	complemented
47	C₁₁×#489	C₂²	1	4	yes	complemented
48	C₁₁×#488	C₂²	1	4	yes	complemented
49	C₁₁×#486	C₂²	1	4	yes	complemented
50	C₁₁×#469	C₂²	1	4	yes	complemented
51	C₁₁×#468	C₂²	1	4	yes	complemented
52	C₁₁×#467	C₂²	1	1	yes	characteristic, complemented
53	C₁₁×#467	C₂²	1	1	yes	characteristic, complemented
54	C₁₁×#466	C₂²	1	2	yes	—
55	C₁₁×#466	C₂²	1	2	yes	—
56	C₁₁×#466	C₂²	1	2	yes	—
57	C₁₁×#466	C₂²	1	2	yes	—
58	C₁₁×#466	C₂²	1	1	yes	characteristic, complemented
59	C₁₁×#466	C₂²	1	4	yes	complemented
60	C₁₁×#466	C₂²	1	1	yes	characteristic, complemented
61	C₁₁×#465	C₂²	1	4	yes	complemented
62	C₁₁×#465	C₂²	1	2	yes	complemented
63	C₁₁×#465	C₂²	1	2	yes	complemented
64	C₁₁×#442	C₂²	1	4	yes	complemented
65	C₁₁×#442	C₂²	1	4	yes	complemented
66	C₁₁×#440	C₂²	1	4	yes	complemented
67	C₁₁×#440	C₂²	1	4	yes	complemented
68	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	complemented
69	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
70	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
71	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
72	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
73	C₄×C₁₁×D₈	C₂²	1	4	yes	complemented
74	C₁₁×#428	C₂²	1	2	yes	—
75	C₁₁×#427	C₂²	1	1	yes	characteristic
76	C₂×C₁₁×#107	C₂²	1	1	yes	characteristic
77	C₁₁×#418	C₂²	1	2	yes	—
78	C₁₁×#417	C₂²	1	2	yes	—
79	C₁₁×#416	C₂²	1	2	yes	—
80	C₂×C₁₁×#102	C₂²	1	2	yes	—
81	C₁₁×#405	C₂²	1	1	yes	characteristic
82	C₁₁×#405	C₂²	1	1	yes	characteristic
83	C₁₁×#405	C₂²	1	1	yes	characteristic
84	C₁₁×#405	C₂²	1	1	yes	characteristic
85	C₁₁×#405	C₂²	1	2	yes	complemented
86	C₁₁×#405	C₂²	1	2	yes	complemented
87	C₂×C₁₁×#97	C₂²	1	2	yes	complemented
88	C₂×C₄×C₈×C₁₁	C₂²	1	2	yes	complemented
89	C₂×C₁₁×#41	—	2	4	no	—
90	C₂×C₁₁×#41	C₂³	1	2	yes	—
91	C₂²×D₄×C₁₁	—	2	2	no	—
92	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
93	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
94	C₁₁×AGL(1,ℤ/8)	—	2	8	no	—
95	C₁₁×#135	—	2	4	no	—
96	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
97	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
98	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
99	C₂×C₁₁×D₈	—	2	4	no	—
100	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
101	C₂×C₁₁×D₈	C₂³	1	2	yes	—
102	C₂×C₁₁×D₈	C₂³	1	4	yes	—
103	C₂×C₁₁×D₈	C₂³	1	2	yes	—
104	C₂×C₁₁×M₁₆	—	2	4	no	—
105	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
106	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
107	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
108	C₂²×C₈×C₁₁	—	2	4	no	—
109	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
110	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
111	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
112	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
113	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
114	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
115	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
116	C₁₁×C₄⋊Q₈	—	2	2	no	—
117	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
118	C₁₁×#127	C₂³	1	4	yes	—
119	C₁₁×#126	—	2	4	no	—
120	C₁₁×#126	—	2	4	no	—
121	C₁₁×#125	—	2	2	no	—
122	C₁₁×#125	C₂³	1	4	yes	—
123	C₁₁×#124	—	2	4	no	—
124	C₁₁×#124	—	2	4	no	—
125	C₁₁×#124	C₂³	1	4	yes	—
126	C₁₁×#123	—	2	2	no	—
127	C₁₁×#123	—	2	4	no	—
128	C₁₁×#123	—	2	4	no	—
129	C₁₁×#123	—	2	4	no	—
130	C₁₁×#123	—	2	4	no	—
131	C₁₁×C₂²⋊Q₈	—	2	4	no	—
132	C₁₁×C₂²⋊Q₈	—	2	4	no	—
133	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
134	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
135	C₁₁×#121	—	2	2	no	—
136	C₁₁×#121	—	2	2	no	—
137	C₁₁×#121	—	2	4	no	—
138	C₁₁×#121	—	2	2	no	—
139	C₁₁×#121	—	2	2	no	—
140	C₁₁×#121	—	2	4	no	—
141	C₁₁×#121	—	2	4	no	—
142	C₁₁×#121	C₂³	1	4	yes	—
143	C₁₁×#121	C₂³	1	4	yes	—
144	C₁₁×#121	C₂³	1	2	yes	—
145	C₁₁×#121	C₂³	1	2	yes	—
146	C₁₁×#120	—	2	2	no	—
147	C₁₁×#120	—	2	4	no	—
148	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
149	C₄×D₄×C₁₁	—	2	2	no	—
150	C₄×D₄×C₁₁	—	2	2	no	—
151	C₄×D₄×C₁₁	—	2	4	no	—
152	C₄×D₄×C₁₁	—	2	2	no	—
153	C₄×D₄×C₁₁	—	2	2	no	—
154	C₄×D₄×C₁₁	—	2	4	no	—
155	C₄×D₄×C₁₁	—	2	4	no	—
156	C₄×D₄×C₁₁	C₂³	1	4	yes	—
157	C₄×D₄×C₁₁	C₂³	1	4	yes	—
158	C₄×D₄×C₁₁	C₂³	1	4	yes	—
159	C₁₁×#117	—	2	2	no	—
160	C₁₁×#117	—	2	4	no	—
161	C₁₁×#117	D₄	1	2	yes	—
162	C₁₁×#117	D₄	1	1	yes	characteristic
163	C₁₁×#117	D₄	1	1	yes	characteristic
164	C₁₁×#117	C₂³	1	2	yes	—
165	C₁₁×#117	C₂³	1	1	yes	characteristic
166	C₁₁×#117	C₂³	1	1	yes	characteristic
167	C₁₁×#117	C₂³	1	2	yes	—
168	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
169	C₂×C₁₁×C₄⋊C₄	D₄	1	1	yes	characteristic
170	C₂×C₁₁×C₄⋊C₄	D₄	1	1	yes	characteristic
171	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
173	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
174	C₂×C₁₁×C₂²⋊C₄	D₄	1	2	yes	—
175	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
176	C₁₁×#107	C₂³	1	1	yes	characteristic
177	C₁₁×#107	C₂³	1	2	yes	—
178	C₁₁×#107	C₂³	1	1	yes	characteristic
179	C₁₁×#107	C₂³	1	4	yes	—
180	C₁₁×#107	C₂³	1	2	yes	—
181	C₁₁×#106	C₂³	1	4	yes	—
182	C₁₁×#106	C₂³	1	2	yes	—
183	C₁₁×#103	C₂³	1	2	yes	—
184	C₁₁×#103	C₂³	1	4	yes	—
185	C₁₁×#103	C₂³	1	2	yes	—
186	C₁₁×#102	C₂³	1	4	yes	—
187	C₁₁×#102	C₂³	1	4	yes	—
188	C₁₁×#102	C₂³	1	2	yes	—
189	C₁₁×#102	C₂³	1	4	yes	—
190	C₁₁×#102	C₂³	1	4	yes	—
191	C₁₁×#102	C₂³	1	4	yes	—
192	C₁₁×#102	C₂³	1	2	yes	—
193	C₁₁×#97	C₂³	1	2	yes	—
194	C₁₁×#97	C₂³	1	2	yes	—
195	C₁₁×#97	C₂³	1	2	yes	—
196	C₁₁×#97	C₂³	1	2	yes	—
197	C₄×C₈×C₁₁	C₂³	1	2	yes	—
198	C₄×C₈×C₁₁	C₂³	1	2	yes	—
199	C₄×C₈×C₁₁	C₂³	1	2	yes	—
200	C₄×C₈×C₁₁	C₂³	1	2	yes	—
201	#60707	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
202	C₂⁴×C₁₁	—	2	2	no	—
203	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
204	C₁₁×#41	—	2	4	no	—
205	C₁₁×#41	—	2	4	no	—
206	C₁₁×#41	—	8	8	no	—
207	C₂×Q₈×C₁₁	—	2	4	no	—
208	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
209	C₂×D₄×C₁₁	—	2	2	no	—
210	C₂×D₄×C₁₁	—	2	2	no	—
211	C₂×D₄×C₁₁	—	2	4	no	—
212	C₂×D₄×C₁₁	—	2	2	no	—
213	C₂×D₄×C₁₁	—	2	4	no	—
214	C₂×D₄×C₁₁	—	2	2	no	—
215	C₂×D₄×C₁₁	—	2	4	no	—
216	C₂×D₄×C₁₁	—	2	4	no	—
217	C₂×D₄×C₁₁	—	2	4	no	—
218	C₂×D₄×C₁₁	—	2	4	no	—
219	C₂×D₄×C₁₁	—	8	4	no	—
220	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
221	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
222	C₂²×C₄×C₁₁	—	2	2	no	—
223	C₂²×C₄×C₁₁	—	2	2	no	—
224	C₂²×C₄×C₁₁	—	2	2	no	—
225	C₂²×C₄×C₁₁	—	2	2	no	—
226	C₂²×C₄×C₁₁	—	2	4	no	—
227	C₂²×C₄×C₁₁	—	2	4	no	—
228	C₂²×C₄×C₁₁	—	2	4	no	—
229	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
230	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
231	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
232	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
233	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
234	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
235	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
236	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
237	C₁₁×Q₁₆	—	2	2	no	—
238	C₁₁×SD₁₆	—	2	4	no	—
239	C₁₁×SD₁₆	—	2	8	no	—
240	C₁₁×D₈	—	2	4	no	—
241	C₁₁×D₈	—	2	4	no	—
242	C₁₁×D₈	—	2	2	no	—
243	C₁₁×D₈	—	2	8	no	—
244	C₁₁×M₁₆	—	2	4	no	—
245	C₁₁×M₁₆	—	2	2	no	—
246	C₁₁×M₁₆	#41	1	4	yes	complemented
247	C₂×C₈×C₁₁	—	2	2	no	—
248	C₂×C₈×C₁₁	—	2	2	no	—
249	C₂×C₈×C₁₁	—	2	2	no	—
250	C₂×C₈×C₁₁	—	2	2	no	—
251	C₂×C₈×C₁₁	—	2	4	no	—
252	C₂×C₈×C₁₁	—	2	2	no	—
253	C₂×C₈×C₁₁	#41	1	4	yes	complemented
254	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
255	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
256	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
257	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
258	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
259	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
260	C₁₁×C₄⋊C₄	—	2	2	no	—
261	C₁₁×C₄⋊C₄	—	2	4	no	—
262	C₁₁×C₄⋊C₄	—	2	2	no	—
263	C₁₁×C₄⋊C₄	—	2	4	no	—
264	C₁₁×C₄⋊C₄	—	2	4	no	—
265	C₁₁×C₄⋊C₄	—	2	4	no	—
266	C₁₁×C₄⋊C₄	—	2	2	no	—
267	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
268	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
269	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
270	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
271	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
272	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
273	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
274	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
275	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
276	C₁₁×C₂²⋊C₄	—	2	2	no	—
277	C₁₁×C₂²⋊C₄	—	2	2	no	—
278	C₁₁×C₂²⋊C₄	—	2	2	no	—
279	C₁₁×C₂²⋊C₄	—	2	4	no	—
280	C₁₁×C₂²⋊C₄	—	2	4	no	—
281	C₁₁×C₂²⋊C₄	—	2	4	no	—
282	C₁₁×C₂²⋊C₄	—	2	4	no	—
283	C₁₁×C₂²⋊C₄	—	2	4	no	—
284	C₁₁×C₂²⋊C₄	—	2	4	no	—
285	C₁₁×C₂²⋊C₄	—	2	2	no	—
286	C₁₁×C₂²⋊C₄	—	2	4	no	—
287	C₁₁×C₂²⋊C₄	—	2	2	no	—
288	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
289	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
290	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
291	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
292	C₄²×C₁₁	—	2	4	no	—
293	C₄²×C₁₁	—	2	2	no	—
294	C₄²×C₁₁	C₂×D₄	1	2	yes	—
295	C₄²×C₁₁	C₂×D₄	1	2	yes	—
296	C₄²×C₁₁	C₂⁴	1	2	yes	—
297	C₄²×C₁₁	C₂⁴	1	2	yes	—
298	#3494	C₂×C₁₁	1	2	yes	complemented
299	#3180	C₂×C₁₁	1	4	yes	complemented
300	#3179	C₂×C₁₁	1	4	yes	complemented
301	#3176	C₂×C₁₁	1	2	yes	complemented
302	#3175	C₂×C₁₁	1	2	yes	complemented
303	#3169	C₂×C₁₁	1	2	yes	complemented
304	#3168	C₂×C₁₁	1	2	yes	complemented
305	#3164	C₂×C₁₁	1	1	yes	characteristic, complemented
306	#3155	C₂×C₁₁	1	1	yes	characteristic, complemented
307	#3136	C₂×C₁₁	1	2	yes	complemented
308	#3055	C₂×C₁₁	1	2	yes	complemented
309	#3050	C₂×C₁₁	1	1	yes	characteristic, complemented
310	C₂×#466	C₂×C₁₁	1	1	yes	characteristic, complemented
311	#2951	C₂×C₁₁	1	1	yes	characteristic, complemented
312	#2948	C₂×C₁₁	1	1	yes	characteristic, complemented
313	#2946	C₂×C₁₁	1	2	yes	complemented
314	C₂×#405	C₂×C₁₁	1	1	yes	characteristic, complemented
315	C₂³×C₁₁	—	2	2	no	—
316	C₂³×C₁₁	—	2	2	no	—
317	C₂³×C₁₁	—	2	4	no	—
318	C₂³×C₁₁	—	2	2	no	—
319	C₂³×C₁₁	—	4	1	no	—
320	C₂³×C₁₁	—	4	4	no	—
321	C₂³×C₁₁	—	8	2	no	—
322	C₂³×C₁₁	—	8	2	no	—
323	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
324	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
325	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
326	Q₈×C₁₁	—	2	2	no	—
327	Q₈×C₁₁	—	2	2	no	—
328	Q₈×C₁₁	—	8	4	no	—
329	D₄×C₁₁	—	2	4	no	—
330	D₄×C₁₁	—	2	2	no	—
331	D₄×C₁₁	—	2	4	no	—
332	D₄×C₁₁	—	2	2	no	—
333	D₄×C₁₁	—	4	4	no	—
334	D₄×C₁₁	—	4	8	no	—
335	D₄×C₁₁	—	4	4	no	—
336	D₄×C₁₁	—	4	4	no	—
337	D₄×C₁₁	—	8	4	no	—
338	D₄×C₁₁	—	8	4	no	—
339	D₄×C₁₁	—	8	2	no	—
340	D₄×C₁₁	—	8	4	no	—
341	C₂×C₄×C₁₁	—	2	2	no	—
342	C₂×C₄×C₁₁	—	2	4	no	—
343	C₂×C₄×C₁₁	—	2	2	no	—
344	C₂×C₄×C₁₁	—	2	2	no	—
345	C₂×C₄×C₁₁	—	2	1	no	—
346	C₂×C₄×C₁₁	—	2	1	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	2	no	—
351	C₂×C₄×C₁₁	—	2	2	no	—
352	C₂×C₄×C₁₁	—	2	4	no	—
353	C₂×C₄×C₁₁	—	4	2	no	—
354	C₂×C₄×C₁₁	—	4	4	no	—
355	C₂×C₄×C₁₁	—	8	4	no	—
356	C₂×C₄×C₁₁	—	8	4	no	—
357	C₂×C₄×C₁₁	—	8	4	no	—
358	C₂×C₄×C₁₁	—	8	2	no	—
359	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
360	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
361	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
362	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
363	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
364	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
365	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
366	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
367	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
368	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
369	C₈×C₁₁	—	2	1	no	—
370	C₈×C₁₁	—	2	1	no	—
371	C₈×C₁₁	—	2	2	no	—
372	C₈×C₁₁	C₂×#41	1	2	yes	—
373	C₈×C₁₁	C₂×#41	1	2	yes	—
374	C₈×C₁₁	C₂×#41	1	4	yes	—
375	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	—
376	C₂×#135	C₂²×C₁₁	1	1	yes	characteristic
377	C₂²×D₈	C₂²×C₁₁	1	1	yes	characteristic
378	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
379	C₂³×C₈	C₂²×C₁₁	1	1	yes	characteristic
380	#555	—	2	2	no	—
381	#553	—	2	2	no	—
382	#553	—	2	2	no	—
383	#551	—	2	4	no	—
384	#547	—	2	2	no	—
385	#546	—	2	4	no	—
386	#544	C₂²×C₁₁	1	2	yes	—
387	#542	C₂²×C₁₁	1	4	yes	complemented
388	#540	C₂²×C₁₁	1	4	yes	complemented
389	#535	C₂²×C₁₁	1	2	yes	—
390	#532	C₂²×C₁₁	1	4	yes	complemented
391	#529	C₂²×C₁₁	1	4	yes	complemented
392	#525	C₂²×C₁₁	1	2	yes	—
393	C₂×#121	C₂²×C₁₁	1	2	yes	—
394	#520	C₂²×C₁₁	1	2	yes	—
395	#518	C₂²×C₁₁	1	2	yes	—
396	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
397	#501	C₂²×C₁₁	1	4	yes	complemented
398	#500	C₂²×C₁₁	1	2	yes	complemented
399	#499	C₂²×C₁₁	1	2	yes	complemented
400	#496	C₂²×C₁₁	1	4	yes	complemented
401	#495	C₂²×C₁₁	1	2	yes	complemented
402	#493	C₂²×C₁₁	1	2	yes	complemented
403	#490	C₂²×C₁₁	1	4	yes	complemented
404	#489	C₂²×C₁₁	1	4	yes	complemented
405	#488	C₂²×C₁₁	1	4	yes	complemented
406	#486	C₂²×C₁₁	1	4	yes	complemented
407	#469	C₂²×C₁₁	1	4	yes	complemented
408	#468	C₂²×C₁₁	1	4	yes	complemented
409	#467	C₂²×C₁₁	1	1	yes	characteristic, complemented
410	#467	C₂²×C₁₁	1	1	yes	characteristic, complemented
411	#466	C₂²×C₁₁	1	2	yes	—
412	#466	C₂²×C₁₁	1	2	yes	—
413	#466	C₂²×C₁₁	1	2	yes	—
414	#466	C₂²×C₁₁	1	2	yes	—
415	#466	C₂²×C₁₁	1	1	yes	characteristic, complemented
416	#466	C₂²×C₁₁	1	4	yes	complemented
417	#466	C₂²×C₁₁	1	1	yes	characteristic, complemented
418	#465	C₂²×C₁₁	1	4	yes	complemented
419	#465	C₂²×C₁₁	1	2	yes	complemented
420	#465	C₂²×C₁₁	1	2	yes	complemented
421	#442	C₂²×C₁₁	1	4	yes	complemented
422	#442	C₂²×C₁₁	1	4	yes	complemented
423	#440	C₂²×C₁₁	1	4	yes	complemented
424	#440	C₂²×C₁₁	1	4	yes	complemented
425	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	complemented
426	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
427	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
428	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
429	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
430	C₄×D₈	C₂²×C₁₁	1	4	yes	complemented
431	#428	C₂²×C₁₁	1	2	yes	—
432	#427	C₂²×C₁₁	1	1	yes	characteristic
433	C₂×#107	C₂²×C₁₁	1	1	yes	characteristic
434	#418	C₂²×C₁₁	1	2	yes	—
435	#417	C₂²×C₁₁	1	2	yes	—
436	#416	C₂²×C₁₁	1	2	yes	—
437	C₂×#102	C₂²×C₁₁	1	2	yes	—
438	#405	C₂²×C₁₁	1	1	yes	characteristic
439	#405	C₂²×C₁₁	1	1	yes	characteristic
440	#405	C₂²×C₁₁	1	1	yes	characteristic
441	#405	C₂²×C₁₁	1	1	yes	characteristic
442	#405	C₂²×C₁₁	1	2	yes	complemented
443	#405	C₂²×C₁₁	1	2	yes	complemented
444	C₂×#97	C₂²×C₁₁	1	2	yes	complemented
445	C₂×C₄×C₈	C₂²×C₁₁	1	2	yes	complemented
446	C₂²×C₁₁	—	2	1	no	—
447	C₂²×C₁₁	—	2	1	no	—
448	C₂²×C₁₁	—	2	1	no	—
449	C₂²×C₁₁	—	2	1	no	—
450	C₂²×C₁₁	—	2	1	no	—
451	C₂²×C₁₁	—	2	1	no	—
452	C₂²×C₁₁	—	2	1	no	—
453	C₂²×C₁₁	—	4	4	no	—
454	C₂²×C₁₁	—	4	4	no	—
455	C₂²×C₁₁	—	4	2	no	—
456	C₂²×C₁₁	—	4	2	no	—
457	C₂²×C₁₁	—	4	4	no	—
458	C₂²×C₁₁	—	4	2	no	—
459	C₂²×C₁₁	—	4	4	no	—
460	C₂²×C₁₁	—	16	4	no	—
461	C₂²×C₁₁	#532	1	2	yes	—
462	C₂²×C₁₁	#576	1	2	yes	—
463	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
464	C₄×C₁₁	—	2	2	no	—
465	C₄×C₁₁	—	2	2	no	—
466	C₄×C₁₁	—	2	1	no	—
467	C₄×C₁₁	—	2	1	no	—
468	C₄×C₁₁	—	2	2	no	—
469	C₄×C₁₁	—	2	2	no	—
470	C₄×C₁₁	—	4	2	no	—
471	C₄×C₁₁	—	4	2	no	—
472	C₄×C₁₁	—	4	4	no	—
473	C₄×C₁₁	—	4	2	no	—
474	C₄×C₁₁	#532	1	2	yes	—
475	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
476	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
477	C₂×#41	—	2	4	no	—
478	C₂×#41	C₂³×C₁₁	1	2	yes	—
479	C₂²×D₄	—	2	2	no	—
480	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
481	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
482	AGL(1,ℤ/8)	—	2	8	no	—
483	#135	—	2	4	no	—
484	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
485	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
486	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
487	C₂×D₈	—	2	4	no	—
488	C₂×D₈	C₂³×C₁₁	1	2	yes	—
489	C₂×D₈	C₂³×C₁₁	1	2	yes	—
490	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
491	C₂×D₈	C₂³×C₁₁	1	4	yes	—
492	C₂×M₁₆	—	2	4	no	—
493	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
494	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
495	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
496	C₂²×C₈	—	2	4	no	—
497	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
498	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
499	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
500	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
501	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
502	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
503	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
504	C₄⋊Q₈	—	2	2	no	—
505	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
506	#127	C₂³×C₁₁	1	4	yes	—
507	#126	—	2	4	no	—
508	#126	—	2	4	no	—
509	#125	—	2	2	no	—
510	#125	C₂³×C₁₁	1	4	yes	—
511	#124	—	2	4	no	—
512	#124	—	2	4	no	—
513	#124	C₂³×C₁₁	1	4	yes	—
514	#123	—	2	2	no	—
515	#123	—	2	4	no	—
516	#123	—	2	4	no	—
517	#123	—	2	4	no	—
518	#123	—	2	4	no	—
519	C₂²⋊Q₈	—	2	4	no	—
520	C₂²⋊Q₈	—	2	4	no	—
521	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
522	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
523	#121	—	2	2	no	—
524	#121	—	2	2	no	—
525	#121	—	2	4	no	—
526	#121	—	2	2	no	—
527	#121	—	2	2	no	—
528	#121	—	2	4	no	—
529	#121	—	2	4	no	—
530	#121	C₂³×C₁₁	1	4	yes	—
531	#121	C₂³×C₁₁	1	4	yes	—
532	#121	C₂³×C₁₁	1	2	yes	—
533	#121	C₂³×C₁₁	1	2	yes	—
534	#120	—	2	2	no	—
535	#120	—	2	4	no	—
536	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
537	C₄×D₄	—	2	2	no	—
538	C₄×D₄	—	2	2	no	—
539	C₄×D₄	—	2	4	no	—
540	C₄×D₄	—	2	2	no	—
541	C₄×D₄	—	2	2	no	—
542	C₄×D₄	—	2	4	no	—
543	C₄×D₄	—	2	4	no	—
544	C₄×D₄	C₂³×C₁₁	1	4	yes	—
545	C₄×D₄	C₂³×C₁₁	1	4	yes	—
546	C₄×D₄	C₂³×C₁₁	1	4	yes	—
547	#117	—	2	2	no	—
548	#117	—	2	4	no	—
549	#117	D₄×C₁₁	1	2	yes	—
550	#117	D₄×C₁₁	1	1	yes	characteristic
551	#117	D₄×C₁₁	1	1	yes	characteristic
552	#117	C₂³×C₁₁	1	2	yes	—
553	#117	C₂³×C₁₁	1	1	yes	characteristic
554	#117	C₂³×C₁₁	1	1	yes	characteristic
555	#117	C₂³×C₁₁	1	2	yes	—
556	C₂×C₄⋊C₄	—	2	2	no	—
557	C₂×C₄⋊C₄	D₄×C₁₁	1	1	yes	characteristic
558	C₂×C₄⋊C₄	D₄×C₁₁	1	1	yes	characteristic
559	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
560	C₂×C₂²⋊C₄	—	2	2	no	—
561	C₂×C₂²⋊C₄	—	2	4	no	—
562	C₂×C₂²⋊C₄	D₄×C₁₁	1	2	yes	—
563	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
564	#107	C₂³×C₁₁	1	2	yes	—
565	#107	C₂³×C₁₁	1	2	yes	—
566	#107	C₂³×C₁₁	1	1	yes	characteristic
567	#107	C₂³×C₁₁	1	1	yes	characteristic
568	#107	C₂³×C₁₁	1	4	yes	—
569	#106	C₂³×C₁₁	1	2	yes	—
570	#106	C₂³×C₁₁	1	4	yes	—
571	#103	C₂³×C₁₁	1	2	yes	—
572	#103	C₂³×C₁₁	1	2	yes	—
573	#103	C₂³×C₁₁	1	4	yes	—
574	#102	C₂³×C₁₁	1	4	yes	—
575	#102	C₂³×C₁₁	1	4	yes	—
576	#102	C₂³×C₁₁	1	2	yes	—
577	#102	C₂³×C₁₁	1	2	yes	—
578	#102	C₂³×C₁₁	1	4	yes	—
579	#102	C₂³×C₁₁	1	4	yes	—
580	#102	C₂³×C₁₁	1	4	yes	—
581	#97	C₂³×C₁₁	1	2	yes	—
582	#97	C₂³×C₁₁	1	2	yes	—
583	#97	C₂³×C₁₁	1	2	yes	—
584	#97	C₂³×C₁₁	1	2	yes	—
585	C₄×C₈	C₂³×C₁₁	1	2	yes	—
586	C₄×C₈	C₂³×C₁₁	1	2	yes	—
587	C₄×C₈	C₂³×C₁₁	1	2	yes	—
588	C₄×C₈	C₂³×C₁₁	1	2	yes	—
589	C₂×C₁₁	—	2	2	no	—
590	C₂×C₁₁	—	2	2	no	—
591	C₂×C₁₁	—	4	1	no	—
592	C₂×C₁₁	—	8	2	no	—
593	C₂×C₁₁	—	8	4	no	—
594	C₂×C₁₁	C₂×#532	1	1	yes	characteristic
595	C₂×C₁₁	C₂×#576	1	1	yes	characteristic
596	C₂×C₁₁	#3584	1	1	yes	characteristic
597	C₂⁴	—	2	2	no	—
598	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
599	#41	—	2	4	no	—
600	#41	—	2	4	no	—
601	#41	—	8	8	no	—
602	C₂×Q₈	—	2	4	no	—
603	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
604	C₂×D₄	—	2	2	no	—
605	C₂×D₄	—	2	2	no	—
606	C₂×D₄	—	2	4	no	—
607	C₂×D₄	—	2	2	no	—
608	C₂×D₄	—	2	4	no	—
609	C₂×D₄	—	2	2	no	—
610	C₂×D₄	—	2	4	no	—
611	C₂×D₄	—	2	4	no	—
612	C₂×D₄	—	2	4	no	—
613	C₂×D₄	—	2	4	no	—
614	C₂×D₄	—	8	4	no	—
615	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
616	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
617	C₂²×C₄	—	2	2	no	—
618	C₂²×C₄	—	2	2	no	—
619	C₂²×C₄	—	2	2	no	—
620	C₂²×C₄	—	2	2	no	—
621	C₂²×C₄	—	2	4	no	—
622	C₂²×C₄	—	2	4	no	—
623	C₂²×C₄	—	2	4	no	—
624	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
625	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
626	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
627	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
628	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
629	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
630	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
631	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
632	Q₁₆	—	2	2	no	—
633	SD₁₆	—	2	4	no	—
634	SD₁₆	—	2	8	no	—
635	D₈	—	2	4	no	—
636	D₈	—	2	4	no	—
637	D₈	—	2	2	no	—
638	D₈	—	2	8	no	—
639	M₁₆	—	2	2	no	—
640	M₁₆	—	2	4	no	—
641	M₁₆	C₁₁×#41	1	4	yes	complemented
642	C₂×C₈	—	2	2	no	—
643	C₂×C₈	—	2	2	no	—
644	C₂×C₈	—	2	2	no	—
645	C₂×C₈	—	2	2	no	—
646	C₂×C₈	—	2	2	no	—
647	C₂×C₈	—	2	4	no	—
648	C₂×C₈	C₁₁×#41	1	4	yes	complemented
649	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
650	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
651	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
652	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
653	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
654	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
655	C₄⋊C₄	—	2	2	no	—
656	C₄⋊C₄	—	2	4	no	—
657	C₄⋊C₄	—	2	2	no	—
658	C₄⋊C₄	—	2	4	no	—
659	C₄⋊C₄	—	2	4	no	—
660	C₄⋊C₄	—	2	4	no	—
661	C₄⋊C₄	—	2	2	no	—
662	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
663	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
664	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
665	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
666	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
667	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
668	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
669	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
670	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
671	C₂²⋊C₄	—	2	2	no	—
672	C₂²⋊C₄	—	2	2	no	—
673	C₂²⋊C₄	—	2	2	no	—
674	C₂²⋊C₄	—	2	4	no	—
675	C₂²⋊C₄	—	2	4	no	—
676	C₂²⋊C₄	—	2	4	no	—
677	C₂²⋊C₄	—	2	4	no	—
678	C₂²⋊C₄	—	2	4	no	—
679	C₂²⋊C₄	—	2	4	no	—
680	C₂²⋊C₄	—	2	2	no	—
681	C₂²⋊C₄	—	2	4	no	—
682	C₂²⋊C₄	—	2	2	no	—
683	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
684	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
685	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
686	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
687	C₄²	—	2	4	no	—
688	C₄²	—	2	2	no	—
689	C₄²	C₂×D₄×C₁₁	1	2	yes	—
690	C₄²	C₂×D₄×C₁₁	1	2	yes	—
691	C₄²	C₂⁴×C₁₁	1	2	yes	—
692	C₄²	C₂⁴×C₁₁	1	2	yes	—
693	C₁₁	#60707	1	1	yes	characteristic, direct product factor, Sylow
694	C₂³	—	2	2	no	—
695	C₂³	—	2	2	no	—
696	C₂³	—	2	4	no	—
697	C₂³	—	2	2	no	—
698	C₂³	—	4	1	no	—
699	C₂³	—	4	4	no	—
700	C₂³	—	8	2	no	—
701	C₂³	—	8	2	no	—
702	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
703	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
704	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
705	Q₈	—	2	2	no	—
706	Q₈	—	2	2	no	—
707	Q₈	—	8	4	no	—
708	D₄	—	2	4	no	—
709	D₄	—	2	2	no	—
710	D₄	—	2	4	no	—
711	D₄	—	2	2	no	—
712	D₄	—	4	4	no	—
713	D₄	—	4	8	no	—
714	D₄	—	4	4	no	—
715	D₄	—	4	4	no	—
716	D₄	—	8	4	no	—
717	D₄	—	8	4	no	—
718	D₄	—	8	2	no	—
719	D₄	—	8	4	no	—
720	C₂×C₄	—	2	2	no	—
721	C₂×C₄	—	2	4	no	—
722	C₂×C₄	—	2	2	no	—
723	C₂×C₄	—	2	2	no	—
724	C₂×C₄	—	2	1	no	—
725	C₂×C₄	—	2	1	no	—
726	C₂×C₄	—	2	1	no	—
727	C₂×C₄	—	2	1	no	—
728	C₂×C₄	—	2	2	no	—
729	C₂×C₄	—	2	2	no	—
730	C₂×C₄	—	2	2	no	—
731	C₂×C₄	—	2	4	no	—
732	C₂×C₄	—	4	2	no	—
733	C₂×C₄	—	4	4	no	—
734	C₂×C₄	—	8	4	no	—
735	C₂×C₄	—	8	4	no	—
736	C₂×C₄	—	8	4	no	—
737	C₂×C₄	—	8	2	no	—
738	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
739	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
740	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
741	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
742	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
743	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
744	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
745	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
746	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
747	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
748	C₈	—	2	1	no	—
749	C₈	—	2	1	no	—
750	C₈	—	2	2	no	—
751	C₈	C₂×C₁₁×#41	1	2	yes	—
752	C₈	C₂×C₁₁×#41	1	2	yes	—
753	C₈	C₂×C₁₁×#41	1	4	yes	—
754	C₂²	—	2	1	no	—
755	C₂²	—	2	1	no	—
756	C₂²	—	2	1	no	—
757	C₂²	—	2	1	no	—
758	C₂²	—	2	1	no	—
759	C₂²	—	2	1	no	—
760	C₂²	—	2	1	no	—
761	C₂²	—	4	4	no	—
762	C₂²	—	4	2	no	—
763	C₂²	—	4	4	no	—
764	C₂²	—	4	2	no	—
765	C₂²	—	4	4	no	—
766	C₂²	—	4	4	no	—
767	C₂²	—	4	2	no	—
768	C₂²	—	16	4	no	—
769	C₂²	C₁₁×#532	1	2	yes	—
770	C₂²	C₁₁×#576	1	2	yes	—
771	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
772	C₄	—	2	1	no	—
773	C₄	—	2	1	no	—
774	C₄	—	2	2	no	—
775	C₄	—	2	2	no	—
776	C₄	—	2	2	no	—
777	C₄	—	2	2	no	—
778	C₄	—	4	2	no	—
779	C₄	—	4	4	no	—
780	C₄	—	4	2	no	—
781	C₄	—	4	2	no	—
782	C₄	C₁₁×#532	1	2	yes	—
783	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
784	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
785	C₂	—	2	2	no	—
786	C₂	—	2	2	no	—
787	C₂	—	4	1	no	—
788	C₂	—	8	4	no	—
789	C₂	—	8	2	no	—
790	C₂	C₂×C₁₁×#532	1	1	yes	characteristic
791	C₂	C₂×C₁₁×#576	1	1	yes	characteristic
792	C₂	C₁₁×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₂×C₁₁×#117 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₁₁×#3494	C₂	semidirect
2. C₁₁×#3180	C₂	semidirect
3. C₁₁×#3179	C₂	semidirect
4. C₁₁×#3176	C₂	semidirect
5. C₁₁×#3175	C₂	semidirect
6. C₁₁×#3169	C₂	semidirect
7. C₁₁×#3168	C₂	semidirect
8. C₁₁×#3164	C₂	semidirect
9. C₁₁×#3155	C₂	semidirect
10. C₁₁×#3136	C₂	semidirect
11. C₁₁×#3055	C₂	semidirect
12. C₁₁×#3050	C₂	semidirect
13. C₂×C₁₁×#466	C₂	semidirect
14. C₁₁×#2951	C₂	semidirect
15. C₁₁×#2948	C₂	semidirect
16. C₁₁×#2946	C₂	semidirect
17. C₂×C₁₁×#405	C₂	semidirect
30. C₁₁×#542	C₂²	semidirect
31. C₁₁×#540	C₂²	semidirect
33. C₁₁×#532	C₂²	semidirect
34. C₁₁×#529	C₂²	semidirect
40. C₁₁×#501	C₂²	semidirect
41. C₁₁×#500	C₂²	semidirect
42. C₁₁×#499	C₂²	semidirect
43. C₁₁×#496	C₂²	semidirect
44. C₁₁×#495	C₂²	semidirect
45. C₁₁×#493	C₂²	semidirect
46. C₁₁×#490	C₂²	semidirect
47. C₁₁×#489	C₂²	semidirect
48. C₁₁×#488	C₂²	semidirect
49. C₁₁×#486	C₂²	semidirect
50. C₁₁×#469	C₂²	semidirect
51. C₁₁×#468	C₂²	semidirect
52. C₁₁×#467	C₂²	semidirect
53. C₁₁×#467	C₂²	semidirect
58. C₁₁×#466	C₂²	semidirect
59. C₁₁×#466	C₂²	semidirect
60. C₁₁×#466	C₂²	semidirect
61. C₁₁×#465	C₂²	semidirect
62. C₁₁×#465	C₂²	semidirect
63. C₁₁×#465	C₂²	semidirect
64. C₁₁×#442	C₂²	semidirect
65. C₁₁×#442	C₂²	semidirect
66. C₁₁×#440	C₂²	semidirect
67. C₁₁×#440	C₂²	semidirect
68. C₄×C₁₁×Q₁₆	C₂²	semidirect
69. C₄×C₁₁×SD₁₆	C₂²	semidirect
70. C₄×C₁₁×D₈	C₂²	semidirect
71. C₄×C₁₁×D₈	C₂²	semidirect
72. C₄×C₁₁×D₈	C₂²	semidirect
73. C₄×C₁₁×D₈	C₂²	semidirect
85. C₁₁×#405	C₂²	semidirect
86. C₁₁×#405	C₂²	semidirect
87. C₂×C₁₁×#97	C₂²	semidirect
88. C₂×C₄×C₈×C₁₁	C₂²	semidirect
201. #60707	C₁₁	direct (N × H)
246. C₁₁×M₁₆	#41	semidirect
253. C₂×C₈×C₁₁	#41	semidirect
298. #3494	C₂×C₁₁	semidirect
299. #3180	C₂×C₁₁	semidirect
300. #3179	C₂×C₁₁	semidirect
301. #3176	C₂×C₁₁	semidirect
302. #3175	C₂×C₁₁	semidirect
303. #3169	C₂×C₁₁	semidirect
304. #3168	C₂×C₁₁	semidirect
305. #3164	C₂×C₁₁	semidirect
306. #3155	C₂×C₁₁	semidirect
307. #3136	C₂×C₁₁	semidirect
308. #3055	C₂×C₁₁	semidirect
309. #3050	C₂×C₁₁	semidirect
310. C₂×#466	C₂×C₁₁	semidirect
311. #2951	C₂×C₁₁	semidirect
312. #2948	C₂×C₁₁	semidirect
313. #2946	C₂×C₁₁	semidirect
314. C₂×#405	C₂×C₁₁	semidirect
387. #542	C₂²×C₁₁	semidirect
388. #540	C₂²×C₁₁	semidirect
390. #532	C₂²×C₁₁	semidirect
391. #529	C₂²×C₁₁	semidirect
397. #501	C₂²×C₁₁	semidirect
398. #500	C₂²×C₁₁	semidirect
399. #499	C₂²×C₁₁	semidirect
400. #496	C₂²×C₁₁	semidirect
401. #495	C₂²×C₁₁	semidirect
402. #493	C₂²×C₁₁	semidirect
403. #490	C₂²×C₁₁	semidirect
404. #489	C₂²×C₁₁	semidirect
405. #488	C₂²×C₁₁	semidirect
406. #486	C₂²×C₁₁	semidirect
407. #469	C₂²×C₁₁	semidirect
408. #468	C₂²×C₁₁	semidirect
409. #467	C₂²×C₁₁	semidirect
410. #467	C₂²×C₁₁	semidirect
415. #466	C₂²×C₁₁	semidirect
416. #466	C₂²×C₁₁	semidirect
417. #466	C₂²×C₁₁	semidirect
418. #465	C₂²×C₁₁	semidirect
419. #465	C₂²×C₁₁	semidirect
420. #465	C₂²×C₁₁	semidirect
421. #442	C₂²×C₁₁	semidirect
422. #442	C₂²×C₁₁	semidirect
423. #440	C₂²×C₁₁	semidirect
424. #440	C₂²×C₁₁	semidirect
425. C₄×Q₁₆	C₂²×C₁₁	semidirect
426. C₄×SD₁₆	C₂²×C₁₁	semidirect
427. C₄×D₈	C₂²×C₁₁	semidirect
428. C₄×D₈	C₂²×C₁₁	semidirect
429. C₄×D₈	C₂²×C₁₁	semidirect
430. C₄×D₈	C₂²×C₁₁	semidirect
442. #405	C₂²×C₁₁	semidirect
443. #405	C₂²×C₁₁	semidirect
444. C₂×#97	C₂²×C₁₁	semidirect
445. C₂×C₄×C₈	C₂²×C₁₁	semidirect
641. M₁₆	C₁₁×#41	semidirect
648. C₂×C₈	C₁₁×#41	semidirect
693. C₁₁	#60707	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×#3494	2
C₁₁×#3180	2
C₁₁×#3179	2
C₁₁×#3176	2
C₁₁×#3175	2
C₁₁×#3169	2
C₁₁×#3168	2
C₁₁×#3164	2
C₁₁×#3155	2
C₁₁×#3136	2
C₁₁×#3055	2
C₁₁×#3050	2
C₂×C₁₁×#466	2
C₁₁×#2951	2
C₁₁×#2948	2
C₁₁×#2946	2
C₂×C₁₁×#405	2
#60707	11

Subgroups — C11×#60707 #14637900

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60707 #14637900