Subgroups — C₁₁×#60697 #14637890

Order 2816.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1168 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3461	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3460	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3183	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3182	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3181	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3180	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3179	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3178	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3175	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3174	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3164	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3154	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3137	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3136	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3063	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#3062	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#3061	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#3057	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×C₁₁×#137	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₁₁×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₁×#2943	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₁×#440	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2875	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×#137	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₂×C₁₁×#135	C₂²	1	1	yes	characteristic
27	C₂²×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
28	C₂×C₁₁×#131	C₂²	1	1	yes	characteristic
29	C₂×C₁₁×#131	C₂²	1	1	yes	characteristic
30	C₁₁×#544	C₂²	1	1	yes	characteristic
31	C₁₁×#544	C₂²	1	1	yes	characteristic
32	C₁₁×#542	—	2	1	no	—
33	C₁₁×#542	—	2	1	no	—
34	C₁₁×#542	C₂²	1	2	yes	—
35	C₁₁×#542	C₂²	1	2	yes	complemented
36	C₁₁×#541	—	2	1	no	—
37	C₁₁×#541	C₂²	1	2	yes	complemented
38	C₁₁×#540	—	2	1	no	—
39	C₁₁×#540	C₂²	1	2	yes	—
40	C₁₁×#539	—	2	2	no	—
41	C₁₁×#538	—	2	2	no	—
42	C₁₁×#537	C₂²	1	1	yes	characteristic
43	C₁₁×#537	C₂²	1	1	yes	characteristic
44	C₁₁×#536	C₂²	1	1	yes	characteristic
45	C₁₁×#536	C₂²	1	1	yes	characteristic
46	C₁₁×#535	C₂²	1	1	yes	characteristic
47	C₁₁×#535	C₂²	1	1	yes	characteristic
48	C₁₁×#533	—	2	1	no	—
49	C₁₁×#533	C₂²	1	2	yes	complemented
50	C₁₁×#532	—	2	1	no	—
51	C₁₁×#532	C₂²	1	2	yes	—
52	C₁₁×#529	—	2	1	no	—
53	C₁₁×#529	—	2	2	no	—
54	C₁₁×#529	—	2	1	no	—
55	C₁₁×#529	C₂²	1	2	yes	—
56	C₁₁×#529	C₂²	1	2	yes	complemented
57	C₁₁×#525	—	2	2	no	—
58	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
59	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
60	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
61	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
62	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
63	C₁₁×#501	C₂²	1	2	yes	complemented
64	C₁₁×#501	C₂²	1	2	yes	complemented
65	C₁₁×#500	C₂²	1	2	yes	complemented
66	C₁₁×#499	C₂²	1	2	yes	complemented
67	C₁₁×#497	C₂²	1	2	yes	—
68	C₁₁×#496	C₂²	1	2	yes	—
69	C₁₁×#495	C₂²	1	2	yes	—
70	C₁₁×#492	C₂²	1	2	yes	—
71	C₁₁×#491	C₂²	1	2	yes	complemented
72	C₁₁×#490	C₂²	1	2	yes	—
73	C₁₁×#489	C₂²	1	2	yes	—
74	C₁₁×#489	C₂²	1	2	yes	complemented
75	C₁₁×#488	C₂²	1	2	yes	—
76	C₁₁×#488	C₂²	1	2	yes	complemented
77	C₁₁×#487	C₂²	1	2	yes	complemented
78	C₁₁×#486	C₂²	1	2	yes	—
79	C₁₁×#470	C₂²	1	2	yes	complemented
80	C₁₁×#469	C₂²	1	2	yes	—
81	C₁₁×#468	C₂²	1	2	yes	—
82	C₁₁×#468	C₂²	1	2	yes	—
83	C₁₁×#468	C₂²	1	2	yes	—
84	C₁₁×#468	C₂²	1	2	yes	complemented
85	C₁₁×#468	C₂²	1	2	yes	complemented
86	C₁₁×#468	C₂²	1	2	yes	complemented
87	C₁₁×#467	C₂²	1	2	yes	complemented
88	C₁₁×#467	C₂²	1	2	yes	complemented
89	C₁₁×#466	C₂²	1	2	yes	—
90	C₁₁×#466	C₂²	1	2	yes	complemented
91	C₁₁×#465	C₂²	1	2	yes	—
92	C₁₁×#465	C₂²	1	2	yes	—
93	C₁₁×#465	C₂²	1	2	yes	—
94	C₁₁×#465	C₂²	1	2	yes	complemented
95	C₁₁×#442	C₂²	1	2	yes	—
96	C₁₁×#442	C₂²	1	1	yes	characteristic, complemented
97	C₁₁×#442	C₂²	1	1	yes	characteristic, complemented
98	C₁₁×#441	C₂²	1	1	yes	characteristic, complemented
99	C₁₁×#441	C₂²	1	1	yes	characteristic, complemented
100	C₁₁×#441	C₂²	1	2	yes	complemented
101	C₁₁×#440	C₂²	1	2	yes	—
102	C₁₁×#440	C₂²	1	2	yes	—
103	C₁₁×#440	C₂²	1	2	yes	—
104	C₁₁×#440	C₂²	1	2	yes	—
105	C₁₁×#440	C₂²	1	2	yes	—
106	C₁₁×#440	C₂²	1	1	yes	characteristic, complemented
107	C₁₁×#440	C₂²	1	1	yes	characteristic, complemented
108	C₁₁×#440	C₂²	1	2	yes	complemented
109	C₁₁×#440	C₂²	1	1	yes	characteristic, complemented
110	C₁₁×#440	C₂²	1	1	yes	characteristic, complemented
111	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	complemented
112	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
113	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
114	C₄×C₁₁×D₈	C₂²	1	2	yes	—
115	C₁₁×#428	C₂²	1	1	yes	characteristic
116	C₁₁×#428	C₂²	1	1	yes	characteristic
117	C₁₁×#427	C₂²	1	1	yes	characteristic
118	C₂×C₁₁×#107	C₂²	1	1	yes	characteristic
119	C₁₁×#419	C₂²	1	1	yes	characteristic
120	C₁₁×#418	C₂²	1	1	yes	characteristic
121	C₁₁×#417	C₂²	1	1	yes	characteristic
122	C₁₁×#417	C₂²	1	1	yes	characteristic
123	C₁₁×#416	C₂²	1	1	yes	characteristic
124	C₁₁×#416	C₂²	1	1	yes	characteristic
125	C₂×C₁₁×#103	C₂²	1	1	yes	characteristic
126	C₂×C₁₁×#102	C₂²	1	1	yes	characteristic
127	C₁₁×#405	C₂²	1	1	yes	characteristic
128	C₁₁×#405	C₂²	1	1	yes	characteristic
129	C₁₁×#405	C₂²	1	2	yes	complemented
130	C₁₁×#405	C₂²	1	2	yes	complemented
131	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
132	C₄×C₁₁×M₁₆	C₂²	1	2	yes	complemented
133	C₂×C₁₁×#97	C₂²	1	1	yes	characteristic
134	C₂×C₁₁×#97	C₂²	1	2	yes	complemented
135	C₂×C₁₁×#41	—	2	2	no	—
136	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
137	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
138	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₁	—	2	1	no	—
142	C₁₁×#137	—	2	4	no	—
143	C₁₁×AGL(1,ℤ/8)	—	2	4	no	—
144	C₁₁×#135	—	2	4	no	—
145	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₁×SD₁₆	—	2	4	no	—
148	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₁×D₈	C₂³	1	2	yes	—
155	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
156	C₁₁×#131	—	2	4	no	—
157	C₁₁×#131	—	2	4	no	—
158	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
159	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
160	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
161	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
162	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
163	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
164	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
165	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
166	C₁₁×C₄⋊Q₈	—	2	1	no	—
167	C₁₁×C₄⋊Q₈	—	2	1	no	—
168	C₁₁×C₄⋊Q₈	—	2	1	no	—
169	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
170	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
171	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
172	C₁₁×#127	—	2	1	no	—
173	C₁₁×#127	C₂³	1	2	yes	—
174	C₁₁×#126	—	2	2	no	—
175	C₁₁×#126	—	2	2	no	—
176	C₁₁×#126	—	2	2	no	—
177	C₁₁×#126	—	2	2	no	—
178	C₁₁×#126	—	2	2	no	—
179	C₁₁×#126	—	2	2	no	—
180	C₁₁×#125	—	2	1	no	—
181	C₁₁×#125	—	2	2	no	—
182	C₁₁×#125	—	2	1	no	—
183	C₁₁×#125	—	2	2	no	—
184	C₁₁×#125	—	2	2	no	—
185	C₁₁×#125	C₂³	1	2	yes	—
186	C₁₁×#125	C₂³	1	2	yes	—
187	C₁₁×#124	—	2	1	no	—
188	C₁₁×#124	—	2	1	no	—
189	C₁₁×#124	—	2	2	no	—
190	C₁₁×#124	—	2	2	no	—
191	C₁₁×#124	—	2	2	no	—
192	C₁₁×#124	C₂³	1	2	yes	—
193	C₁₁×#124	C₂³	1	2	yes	—
194	C₁₁×#123	—	2	2	no	—
195	C₁₁×#123	—	2	2	no	—
196	C₁₁×#123	—	2	2	no	—
197	C₁₁×#123	—	2	2	no	—
198	C₁₁×#123	—	2	2	no	—
199	C₁₁×#123	—	2	2	no	—
200	C₁₁×#123	—	2	2	no	—
201	C₁₁×#123	—	2	2	no	—
202	C₁₁×C₂²⋊Q₈	—	2	1	no	—
203	C₁₁×C₂²⋊Q₈	—	2	1	no	—
204	C₁₁×C₂²⋊Q₈	—	2	2	no	—
205	C₁₁×C₂²⋊Q₈	—	2	2	no	—
206	C₁₁×C₂²⋊Q₈	—	2	1	no	—
207	C₁₁×C₂²⋊Q₈	—	2	1	no	—
208	C₁₁×C₂²⋊Q₈	—	2	2	no	—
209	C₁₁×C₂²⋊Q₈	—	2	2	no	—
210	C₁₁×C₂²⋊Q₈	—	2	2	no	—
211	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
212	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
214	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
215	C₁₁×#121	—	2	2	no	—
216	C₁₁×#121	—	2	2	no	—
217	C₁₁×#121	—	2	1	no	—
218	C₁₁×#121	—	2	1	no	—
219	C₁₁×#121	—	2	2	no	—
220	C₁₁×#121	—	2	1	no	—
221	C₁₁×#121	—	2	1	no	—
222	C₁₁×#121	—	2	2	no	—
223	C₁₁×#121	—	2	2	no	—
224	C₁₁×#121	C₂³	1	2	yes	—
225	C₁₁×#121	C₂³	1	2	yes	—
226	C₁₁×#121	C₂³	1	2	yes	—
227	C₁₁×#121	C₂³	1	2	yes	—
228	C₁₁×#120	—	2	2	no	—
229	C₁₁×#120	—	2	2	no	—
230	C₄×Q₈×C₁₁	—	2	1	no	—
231	C₄×Q₈×C₁₁	—	2	1	no	—
232	C₄×Q₈×C₁₁	—	2	2	no	—
233	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
234	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
235	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
237	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₁	—	2	1	no	—
242	C₄×D₄×C₁₁	—	2	1	no	—
243	C₄×D₄×C₁₁	—	2	1	no	—
244	C₄×D₄×C₁₁	—	2	1	no	—
245	C₄×D₄×C₁₁	—	2	2	no	—
246	C₄×D₄×C₁₁	—	2	2	no	—
247	C₄×D₄×C₁₁	—	2	1	no	—
248	C₄×D₄×C₁₁	—	2	1	no	—
249	C₄×D₄×C₁₁	—	2	2	no	—
250	C₄×D₄×C₁₁	D₄	1	2	yes	—
251	C₄×D₄×C₁₁	D₄	1	2	yes	—
252	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
253	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
254	C₄×D₄×C₁₁	C₂³	1	2	yes	—
255	C₄×D₄×C₁₁	C₂³	1	2	yes	—
256	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
260	C₁₁×#117	—	2	2	no	—
261	C₁₁×#117	—	2	1	no	—
262	C₁₁×#117	—	2	1	no	—
263	C₁₁×#117	—	2	2	no	—
264	C₁₁×#117	—	2	2	no	—
265	C₁₁×#117	C₂³	1	1	yes	characteristic
266	C₁₁×#117	C₂³	1	1	yes	characteristic
267	C₁₁×#117	C₂³	1	1	yes	characteristic
268	C₁₁×#117	C₂³	1	2	yes	—
269	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
270	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
273	C₂×C₄²×C₁₁	—	2	1	no	—
274	C₂×C₄²×C₁₁	—	2	1	no	—
275	C₂×C₄²×C₁₁	—	2	1	no	—
276	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
277	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
278	C₁₁×#107	C₂³	1	1	yes	characteristic
279	C₁₁×#107	C₂³	1	2	yes	—
280	C₁₁×#107	C₂³	1	1	yes	characteristic
281	C₁₁×#107	C₂³	1	2	yes	—
282	C₁₁×#107	C₂³	1	2	yes	—
283	C₁₁×#107	C₂³	1	2	yes	—
284	C₁₁×#106	C₂³	1	2	yes	—
285	C₁₁×#106	C₂³	1	2	yes	—
286	C₁₁×#106	C₂³	1	1	yes	characteristic
287	C₁₁×#106	C₂³	1	1	yes	characteristic
288	C₁₁×#103	C₂³	1	1	yes	characteristic
289	C₁₁×#103	C₂³	1	2	yes	—
290	C₁₁×#103	C₂³	1	2	yes	—
291	C₁₁×#103	C₂³	1	2	yes	—
292	C₁₁×#103	C₂³	1	1	yes	characteristic
293	C₁₁×#103	C₂³	1	2	yes	—
294	C₁₁×#103	C₂³	1	2	yes	—
295	C₁₁×#103	C₂³	1	2	yes	—
296	C₁₁×#103	C₂³	1	1	yes	characteristic
297	C₁₁×#103	C₂³	1	1	yes	characteristic
298	C₁₁×#102	C₂³	1	2	yes	—
299	C₁₁×#102	C₂³	1	2	yes	—
300	C₁₁×#102	C₂³	1	1	yes	characteristic
301	C₁₁×#102	C₂³	1	2	yes	—
302	C₁₁×#102	C₂³	1	1	yes	characteristic
303	C₁₁×#102	C₂³	1	2	yes	—
304	C₁₁×#102	C₂³	1	2	yes	—
305	C₁₁×#102	C₂³	1	2	yes	—
306	C₁₁×#102	C₂³	1	1	yes	characteristic
307	C₁₁×#102	C₂³	1	1	yes	characteristic
308	C₁₁×#97	C₂³	1	2	yes	—
309	C₁₁×#97	C₂³	1	2	yes	—
310	C₁₁×#97	C₂³	1	1	yes	characteristic
311	C₁₁×#97	C₂³	1	1	yes	characteristic
312	C₁₁×#97	C₂³	1	1	yes	characteristic
313	C₁₁×#97	C₂³	1	1	yes	characteristic
314	C₁₁×#97	C₂³	1	2	yes	—
315	C₄×C₈×C₁₁	C₂³	1	2	yes	—
316	C₄×C₈×C₁₁	C₂³	1	2	yes	—
317	C₄×C₈×C₁₁	C₂³	1	2	yes	—
318	#60697	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
319	C₂⁴×C₁₁	—	2	1	no	—
320	C₁₁×#41	—	2	2	no	—
321	C₁₁×#41	—	2	2	no	—
322	C₁₁×#41	—	2	2	no	—
323	C₁₁×#41	—	2	2	no	—
324	C₁₁×#41	—	2	2	no	—
325	C₁₁×#41	—	2	2	no	—
326	C₁₁×#41	—	8	4	no	—
327	C₂×Q₈×C₁₁	—	2	1	no	—
328	C₂×Q₈×C₁₁	—	2	2	no	—
329	C₂×Q₈×C₁₁	—	2	2	no	—
330	C₂×Q₈×C₁₁	—	2	2	no	—
331	C₂×Q₈×C₁₁	—	2	2	no	—
332	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
333	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
334	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
335	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
336	C₂×D₄×C₁₁	—	2	1	no	—
337	C₂×D₄×C₁₁	—	2	1	no	—
338	C₂×D₄×C₁₁	—	2	2	no	—
339	C₂×D₄×C₁₁	—	2	2	no	—
340	C₂×D₄×C₁₁	—	2	2	no	—
341	C₂×D₄×C₁₁	—	2	2	no	—
342	C₂×D₄×C₁₁	—	2	1	no	—
343	C₂×D₄×C₁₁	—	2	2	no	—
344	C₂×D₄×C₁₁	—	2	2	no	—
345	C₂×D₄×C₁₁	—	2	2	no	—
346	C₂×D₄×C₁₁	—	2	2	no	—
347	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
348	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
349	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
350	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
351	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₁₁	—	2	1	no	—
353	C₂²×C₄×C₁₁	—	2	1	no	—
354	C₂²×C₄×C₁₁	—	2	1	no	—
355	C₂²×C₄×C₁₁	—	2	1	no	—
356	C₂²×C₄×C₁₁	—	2	1	no	—
357	C₂²×C₄×C₁₁	—	2	1	no	—
358	C₂²×C₄×C₁₁	—	2	1	no	—
359	C₂²×C₄×C₁₁	—	2	2	no	—
360	C₂²×C₄×C₁₁	—	2	1	no	—
361	C₂²×C₄×C₁₁	—	2	1	no	—
362	C₂²×C₄×C₁₁	—	2	2	no	—
363	C₂²×C₄×C₁₁	—	8	2	no	—
364	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
365	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
366	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
367	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
368	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
369	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
370	C₁₁×Q₁₆	—	2	2	no	—
371	C₁₁×Q₁₆	—	2	4	no	—
372	C₁₁×SD₁₆	—	2	4	no	—
373	C₁₁×SD₁₆	—	2	4	no	—
374	C₁₁×SD₁₆	—	2	2	no	—
375	C₁₁×SD₁₆	—	2	2	no	—
376	C₁₁×SD₁₆	—	2	4	no	—
377	C₁₁×SD₁₆	—	2	4	no	—
378	C₁₁×D₈	—	2	2	no	—
379	C₁₁×D₈	—	2	4	no	—
380	C₁₁×M₁₆	—	2	4	no	—
381	C₁₁×M₁₆	—	2	4	no	—
382	C₁₁×M₁₆	—	2	2	no	—
383	C₁₁×M₁₆	#41	1	4	yes	complemented
384	C₂×C₈×C₁₁	—	2	4	no	—
385	C₂×C₈×C₁₁	—	2	4	no	—
386	C₂×C₈×C₁₁	—	2	2	no	—
387	C₂×C₈×C₁₁	#41	1	4	yes	complemented
388	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
389	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
390	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
391	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
392	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
393	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
394	C₁₁×C₄⋊C₄	—	2	2	no	—
395	C₁₁×C₄⋊C₄	—	2	2	no	—
396	C₁₁×C₄⋊C₄	—	2	1	no	—
397	C₁₁×C₄⋊C₄	—	2	1	no	—
398	C₁₁×C₄⋊C₄	—	2	1	no	—
399	C₁₁×C₄⋊C₄	—	2	1	no	—
400	C₁₁×C₄⋊C₄	—	2	1	no	—
401	C₁₁×C₄⋊C₄	—	2	1	no	—
402	C₁₁×C₄⋊C₄	—	2	2	no	—
403	C₁₁×C₄⋊C₄	—	2	2	no	—
404	C₁₁×C₄⋊C₄	—	2	2	no	—
405	C₁₁×C₄⋊C₄	—	2	2	no	—
406	C₁₁×C₄⋊C₄	—	2	2	no	—
407	C₁₁×C₄⋊C₄	—	2	2	no	—
408	C₁₁×C₄⋊C₄	—	2	2	no	—
409	C₁₁×C₄⋊C₄	—	2	2	no	—
410	C₁₁×C₄⋊C₄	—	2	2	no	—
411	C₁₁×C₄⋊C₄	—	2	2	no	—
412	C₁₁×C₄⋊C₄	—	2	2	no	—
413	C₁₁×C₄⋊C₄	—	2	2	no	—
414	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
415	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
416	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
417	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
418	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
419	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
420	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
421	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
422	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
423	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
424	C₁₁×C₂²⋊C₄	—	2	2	no	—
425	C₁₁×C₂²⋊C₄	—	2	2	no	—
426	C₁₁×C₂²⋊C₄	—	2	1	no	—
427	C₁₁×C₂²⋊C₄	—	2	1	no	—
428	C₁₁×C₂²⋊C₄	—	2	2	no	—
429	C₁₁×C₂²⋊C₄	—	2	2	no	—
430	C₁₁×C₂²⋊C₄	—	2	2	no	—
431	C₁₁×C₂²⋊C₄	—	2	2	no	—
432	C₁₁×C₂²⋊C₄	—	2	1	no	—
433	C₁₁×C₂²⋊C₄	—	2	1	no	—
434	C₁₁×C₂²⋊C₄	—	2	1	no	—
435	C₁₁×C₂²⋊C₄	—	2	1	no	—
436	C₁₁×C₂²⋊C₄	—	2	2	no	—
437	C₁₁×C₂²⋊C₄	—	2	2	no	—
438	C₁₁×C₂²⋊C₄	—	2	2	no	—
439	C₁₁×C₂²⋊C₄	—	2	2	no	—
440	C₁₁×C₂²⋊C₄	—	2	2	no	—
441	C₁₁×C₂²⋊C₄	—	2	2	no	—
442	C₁₁×C₂²⋊C₄	—	2	2	no	—
443	C₁₁×C₂²⋊C₄	—	2	2	no	—
444	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
445	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
446	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
447	C₄²×C₁₁	—	2	1	no	—
448	C₄²×C₁₁	—	2	2	no	—
449	C₄²×C₁₁	—	2	1	no	—
450	C₄²×C₁₁	—	2	1	no	—
451	C₄²×C₁₁	—	2	1	no	—
452	C₄²×C₁₁	—	2	1	no	—
453	C₄²×C₁₁	—	2	1	no	—
454	C₄²×C₁₁	—	2	2	no	—
455	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
456	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
457	C₄²×C₁₁	C₂×D₄	1	2	yes	—
458	C₄²×C₁₁	C₂×D₄	1	2	yes	—
459	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
460	C₄²×C₁₁	C₂⁴	1	2	yes	—
461	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
462	#3461	C₂×C₁₁	1	1	yes	characteristic, complemented
463	#3460	C₂×C₁₁	1	1	yes	characteristic, complemented
464	#3183	C₂×C₁₁	1	2	yes	complemented
465	#3182	C₂×C₁₁	1	2	yes	complemented
466	#3181	C₂×C₁₁	1	2	yes	complemented
467	#3180	C₂×C₁₁	1	2	yes	complemented
468	#3179	C₂×C₁₁	1	2	yes	complemented
469	#3178	C₂×C₁₁	1	2	yes	complemented
470	#3175	C₂×C₁₁	1	2	yes	complemented
471	#3174	C₂×C₁₁	1	2	yes	complemented
472	#3164	C₂×C₁₁	1	1	yes	characteristic, complemented
473	#3154	C₂×C₁₁	1	1	yes	characteristic, complemented
474	#3137	C₂×C₁₁	1	1	yes	characteristic, complemented
475	#3136	C₂×C₁₁	1	1	yes	characteristic, complemented
476	#3063	C₂×C₁₁	1	1	yes	characteristic, complemented
477	#3062	C₂×C₁₁	1	1	yes	characteristic, complemented
478	#3061	C₂×C₁₁	1	1	yes	characteristic, complemented
479	#3057	C₂×C₁₁	1	1	yes	characteristic, complemented
480	C₄×#137	C₂×C₁₁	1	1	yes	characteristic, complemented
481	C₄×AGL(1,ℤ/8)	C₂×C₁₁	1	1	yes	characteristic, complemented
482	#2943	C₂×C₁₁	1	1	yes	characteristic, complemented
483	C₂×#440	C₂×C₁₁	1	1	yes	characteristic, complemented
484	#2875	C₂×C₁₁	1	1	yes	characteristic, complemented
485	C₂³×C₁₁	—	2	1	no	—
486	C₂³×C₁₁	—	2	2	no	—
487	C₂³×C₁₁	—	2	1	no	—
488	C₂³×C₁₁	—	4	2	no	—
489	C₂³×C₁₁	—	8	1	no	—
490	C₂³×C₁₁	—	8	1	no	—
491	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
492	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
493	Q₈×C₁₁	—	2	2	no	—
494	Q₈×C₁₁	—	2	2	no	—
495	Q₈×C₁₁	—	2	1	no	—
496	Q₈×C₁₁	—	2	2	no	—
497	Q₈×C₁₁	—	2	1	no	—
498	Q₈×C₁₁	—	2	1	no	—
499	Q₈×C₁₁	—	2	1	no	—
500	Q₈×C₁₁	—	4	2	no	—
501	Q₈×C₁₁	—	8	2	no	—
502	Q₈×C₁₁	—	8	2	no	—
503	D₄×C₁₁	—	2	4	no	—
504	D₄×C₁₁	—	2	2	no	—
505	D₄×C₁₁	—	2	1	no	—
506	D₄×C₁₁	—	2	2	no	—
507	D₄×C₁₁	—	2	1	no	—
508	D₄×C₁₁	—	2	1	no	—
509	D₄×C₁₁	—	2	2	no	—
510	D₄×C₁₁	—	2	1	no	—
511	D₄×C₁₁	—	4	2	no	—
512	D₄×C₁₁	—	4	2	no	—
513	D₄×C₁₁	—	4	2	no	—
514	D₄×C₁₁	—	8	2	no	—
515	D₄×C₁₁	—	8	2	no	—
516	D₄×C₁₁	—	8	2	no	—
517	D₄×C₁₁	—	8	2	no	—
518	D₄×C₁₁	—	8	2	no	—
519	D₄×C₁₁	—	8	2	no	—
520	C₂×C₄×C₁₁	—	2	2	no	—
521	C₂×C₄×C₁₁	—	2	2	no	—
522	C₂×C₄×C₁₁	—	2	1	no	—
523	C₂×C₄×C₁₁	—	2	1	no	—
524	C₂×C₄×C₁₁	—	2	2	no	—
525	C₂×C₄×C₁₁	—	2	1	no	—
526	C₂×C₄×C₁₁	—	2	1	no	—
527	C₂×C₄×C₁₁	—	2	1	no	—
528	C₂×C₄×C₁₁	—	2	1	no	—
529	C₂×C₄×C₁₁	—	2	2	no	—
530	C₂×C₄×C₁₁	—	2	2	no	—
531	C₂×C₄×C₁₁	—	4	1	no	—
532	C₂×C₄×C₁₁	—	4	1	no	—
533	C₂×C₄×C₁₁	—	4	2	no	—
534	C₂×C₄×C₁₁	—	4	2	no	—
535	C₂×C₄×C₁₁	—	4	2	no	—
536	C₂×C₄×C₁₁	—	4	4	no	—
537	C₂×C₄×C₁₁	—	4	2	no	—
538	C₂×C₄×C₁₁	—	4	2	no	—
539	C₂×C₄×C₁₁	—	4	2	no	—
540	C₂×C₄×C₁₁	—	4	2	no	—
541	C₂×C₄×C₁₁	—	8	1	no	—
542	C₂×C₄×C₁₁	—	8	1	no	—
543	C₂×C₄×C₁₁	—	8	2	no	—
544	C₂×C₄×C₁₁	—	8	1	no	—
545	C₂×C₄×C₁₁	—	8	1	no	—
546	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
547	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
548	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
549	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
550	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
551	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
552	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
553	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
554	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
555	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
556	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
557	C₈×C₁₁	—	2	1	no	—
558	C₈×C₁₁	—	2	2	no	—
559	C₈×C₁₁	—	2	1	no	—
560	C₈×C₁₁	C₂×#41	1	2	yes	—
561	C₈×C₁₁	C₂×#41	1	4	yes	—
562	C₈×C₁₁	C₂×#41	1	2	yes	—
563	C₂×#137	C₂²×C₁₁	1	1	yes	characteristic
564	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	1	yes	characteristic
565	C₂×#135	C₂²×C₁₁	1	1	yes	characteristic
566	C₂²×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
567	C₂×#131	C₂²×C₁₁	1	1	yes	characteristic
568	C₂×#131	C₂²×C₁₁	1	1	yes	characteristic
569	#544	C₂²×C₁₁	1	1	yes	characteristic
570	#544	C₂²×C₁₁	1	1	yes	characteristic
571	#542	—	2	1	no	—
572	#542	—	2	1	no	—
573	#542	C₂²×C₁₁	1	2	yes	—
574	#542	C₂²×C₁₁	1	2	yes	complemented
575	#541	—	2	1	no	—
576	#541	C₂²×C₁₁	1	2	yes	complemented
577	#540	—	2	1	no	—
578	#540	C₂²×C₁₁	1	2	yes	—
579	#539	—	2	2	no	—
580	#538	—	2	2	no	—
581	#537	C₂²×C₁₁	1	1	yes	characteristic
582	#537	C₂²×C₁₁	1	1	yes	characteristic
583	#536	C₂²×C₁₁	1	1	yes	characteristic
584	#536	C₂²×C₁₁	1	1	yes	characteristic
585	#535	C₂²×C₁₁	1	1	yes	characteristic
586	#535	C₂²×C₁₁	1	1	yes	characteristic
587	#533	—	2	1	no	—
588	#533	C₂²×C₁₁	1	2	yes	complemented
589	#532	—	2	1	no	—
590	#532	C₂²×C₁₁	1	2	yes	—
591	#529	—	2	1	no	—
592	#529	—	2	2	no	—
593	#529	—	2	1	no	—
594	#529	C₂²×C₁₁	1	2	yes	—
595	#529	C₂²×C₁₁	1	2	yes	complemented
596	#525	—	2	2	no	—
597	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
598	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
599	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
600	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
601	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
602	#501	C₂²×C₁₁	1	2	yes	complemented
603	#501	C₂²×C₁₁	1	2	yes	complemented
604	#500	C₂²×C₁₁	1	2	yes	complemented
605	#499	C₂²×C₁₁	1	2	yes	complemented
606	#497	C₂²×C₁₁	1	2	yes	—
607	#496	C₂²×C₁₁	1	2	yes	—
608	#495	C₂²×C₁₁	1	2	yes	—
609	#492	C₂²×C₁₁	1	2	yes	—
610	#491	C₂²×C₁₁	1	2	yes	complemented
611	#490	C₂²×C₁₁	1	2	yes	—
612	#489	C₂²×C₁₁	1	2	yes	—
613	#489	C₂²×C₁₁	1	2	yes	complemented
614	#488	C₂²×C₁₁	1	2	yes	—
615	#488	C₂²×C₁₁	1	2	yes	complemented
616	#487	C₂²×C₁₁	1	2	yes	complemented
617	#486	C₂²×C₁₁	1	2	yes	—
618	#470	C₂²×C₁₁	1	2	yes	complemented
619	#469	C₂²×C₁₁	1	2	yes	—
620	#468	C₂²×C₁₁	1	2	yes	—
621	#468	C₂²×C₁₁	1	2	yes	—
622	#468	C₂²×C₁₁	1	2	yes	—
623	#468	C₂²×C₁₁	1	2	yes	complemented
624	#468	C₂²×C₁₁	1	2	yes	complemented
625	#468	C₂²×C₁₁	1	2	yes	complemented
626	#467	C₂²×C₁₁	1	2	yes	complemented
627	#467	C₂²×C₁₁	1	2	yes	complemented
628	#466	C₂²×C₁₁	1	2	yes	—
629	#466	C₂²×C₁₁	1	2	yes	complemented
630	#465	C₂²×C₁₁	1	2	yes	—
631	#465	C₂²×C₁₁	1	2	yes	—
632	#465	C₂²×C₁₁	1	2	yes	—
633	#465	C₂²×C₁₁	1	2	yes	complemented
634	#442	C₂²×C₁₁	1	2	yes	—
635	#442	C₂²×C₁₁	1	1	yes	characteristic, complemented
636	#442	C₂²×C₁₁	1	1	yes	characteristic, complemented
637	#441	C₂²×C₁₁	1	1	yes	characteristic, complemented
638	#441	C₂²×C₁₁	1	1	yes	characteristic, complemented
639	#441	C₂²×C₁₁	1	2	yes	complemented
640	#440	C₂²×C₁₁	1	2	yes	—
641	#440	C₂²×C₁₁	1	2	yes	—
642	#440	C₂²×C₁₁	1	2	yes	—
643	#440	C₂²×C₁₁	1	2	yes	—
644	#440	C₂²×C₁₁	1	2	yes	—
645	#440	C₂²×C₁₁	1	1	yes	characteristic, complemented
646	#440	C₂²×C₁₁	1	1	yes	characteristic, complemented
647	#440	C₂²×C₁₁	1	2	yes	complemented
648	#440	C₂²×C₁₁	1	1	yes	characteristic, complemented
649	#440	C₂²×C₁₁	1	1	yes	characteristic, complemented
650	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	complemented
651	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
652	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
653	C₄×D₈	C₂²×C₁₁	1	2	yes	—
654	#428	C₂²×C₁₁	1	1	yes	characteristic
655	#428	C₂²×C₁₁	1	1	yes	characteristic
656	#427	C₂²×C₁₁	1	1	yes	characteristic
657	C₂×#107	C₂²×C₁₁	1	1	yes	characteristic
658	#419	C₂²×C₁₁	1	1	yes	characteristic
659	#418	C₂²×C₁₁	1	1	yes	characteristic
660	#417	C₂²×C₁₁	1	1	yes	characteristic
661	#417	C₂²×C₁₁	1	1	yes	characteristic
662	#416	C₂²×C₁₁	1	1	yes	characteristic
663	#416	C₂²×C₁₁	1	1	yes	characteristic
664	C₂×#103	C₂²×C₁₁	1	1	yes	characteristic
665	C₂×#102	C₂²×C₁₁	1	1	yes	characteristic
666	#405	C₂²×C₁₁	1	1	yes	characteristic
667	#405	C₂²×C₁₁	1	1	yes	characteristic
668	#405	C₂²×C₁₁	1	2	yes	complemented
669	#405	C₂²×C₁₁	1	2	yes	complemented
670	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
671	C₄×M₁₆	C₂²×C₁₁	1	2	yes	complemented
672	C₂×#97	C₂²×C₁₁	1	1	yes	characteristic
673	C₂×#97	C₂²×C₁₁	1	2	yes	complemented
674	C₂²×C₁₁	—	2	1	no	—
675	C₂²×C₁₁	—	2	1	no	—
676	C₂²×C₁₁	—	2	2	no	—
677	C₂²×C₁₁	—	2	2	no	—
678	C₂²×C₁₁	—	2	2	no	—
679	C₂²×C₁₁	—	4	2	no	—
680	C₂²×C₁₁	—	4	1	no	—
681	C₂²×C₁₁	—	4	1	no	—
682	C₂²×C₁₁	—	4	1	no	—
683	C₂²×C₁₁	—	4	1	no	—
684	C₂²×C₁₁	—	4	2	no	—
685	C₂²×C₁₁	—	4	1	no	—
686	C₂²×C₁₁	—	4	1	no	—
687	C₂²×C₁₁	—	4	2	no	—
688	C₂²×C₁₁	—	8	4	no	—
689	C₂²×C₁₁	#532	1	2	yes	—
690	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
691	C₄×C₁₁	—	2	1	no	—
692	C₄×C₁₁	—	2	1	no	—
693	C₄×C₁₁	—	2	2	no	—
694	C₄×C₁₁	—	2	1	no	—
695	C₄×C₁₁	—	2	1	no	—
696	C₄×C₁₁	—	2	2	no	—
697	C₄×C₁₁	—	2	2	no	—
698	C₄×C₁₁	—	4	2	no	—
699	C₄×C₁₁	—	4	1	no	—
700	C₄×C₁₁	—	4	2	no	—
701	C₄×C₁₁	—	4	1	no	—
702	C₄×C₁₁	—	4	1	no	—
703	C₄×C₁₁	—	4	1	no	—
704	C₄×C₁₁	—	4	1	no	—
705	C₄×C₁₁	—	4	1	no	—
706	C₄×C₁₁	—	4	2	no	—
707	C₄×C₁₁	#532	1	2	yes	—
708	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
709	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
710	C₂×#41	—	2	2	no	—
711	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
712	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
713	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
714	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
715	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
716	C₂³×C₄	—	2	1	no	—
717	#137	—	2	4	no	—
718	AGL(1,ℤ/8)	—	2	4	no	—
719	#135	—	2	4	no	—
720	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
721	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
722	C₂×SD₁₆	—	2	4	no	—
723	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
724	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
725	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
726	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
727	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
728	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
729	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
730	C₂×D₈	C₂³×C₁₁	1	2	yes	—
731	#131	—	2	4	no	—
732	#131	—	2	4	no	—
733	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
734	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
735	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
736	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
737	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
738	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
739	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
740	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
741	C₄⋊Q₈	—	2	1	no	—
742	C₄⋊Q₈	—	2	1	no	—
743	C₄⋊Q₈	—	2	1	no	—
744	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
745	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
746	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
747	#127	—	2	1	no	—
748	#127	C₂³×C₁₁	1	2	yes	—
749	#126	—	2	2	no	—
750	#126	—	2	2	no	—
751	#126	—	2	2	no	—
752	#126	—	2	2	no	—
753	#126	—	2	2	no	—
754	#126	—	2	2	no	—
755	#125	—	2	1	no	—
756	#125	—	2	2	no	—
757	#125	—	2	1	no	—
758	#125	—	2	2	no	—
759	#125	—	2	2	no	—
760	#125	C₂³×C₁₁	1	2	yes	—
761	#125	C₂³×C₁₁	1	2	yes	—
762	#124	—	2	1	no	—
763	#124	—	2	1	no	—
764	#124	—	2	2	no	—
765	#124	—	2	2	no	—
766	#124	—	2	2	no	—
767	#124	C₂³×C₁₁	1	2	yes	—
768	#124	C₂³×C₁₁	1	2	yes	—
769	#123	—	2	2	no	—
770	#123	—	2	2	no	—
771	#123	—	2	2	no	—
772	#123	—	2	2	no	—
773	#123	—	2	2	no	—
774	#123	—	2	2	no	—
775	#123	—	2	2	no	—
776	#123	—	2	2	no	—
777	C₂²⋊Q₈	—	2	1	no	—
778	C₂²⋊Q₈	—	2	1	no	—
779	C₂²⋊Q₈	—	2	2	no	—
780	C₂²⋊Q₈	—	2	2	no	—
781	C₂²⋊Q₈	—	2	1	no	—
782	C₂²⋊Q₈	—	2	1	no	—
783	C₂²⋊Q₈	—	2	2	no	—
784	C₂²⋊Q₈	—	2	2	no	—
785	C₂²⋊Q₈	—	2	2	no	—
786	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
787	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
788	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
789	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
790	#121	—	2	2	no	—
791	#121	—	2	2	no	—
792	#121	—	2	1	no	—
793	#121	—	2	1	no	—
794	#121	—	2	2	no	—
795	#121	—	2	1	no	—
796	#121	—	2	1	no	—
797	#121	—	2	2	no	—
798	#121	—	2	2	no	—
799	#121	C₂³×C₁₁	1	2	yes	—
800	#121	C₂³×C₁₁	1	2	yes	—
801	#121	C₂³×C₁₁	1	2	yes	—
802	#121	C₂³×C₁₁	1	2	yes	—
803	#120	—	2	2	no	—
804	#120	—	2	2	no	—
805	C₄×Q₈	—	2	1	no	—
806	C₄×Q₈	—	2	1	no	—
807	C₄×Q₈	—	2	2	no	—
808	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
809	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
810	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
811	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
812	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
813	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
814	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
815	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	2	2	no	—
821	C₄×D₄	—	2	2	no	—
822	C₄×D₄	—	2	1	no	—
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	2	no	—
825	C₄×D₄	D₄×C₁₁	1	2	yes	—
826	C₄×D₄	D₄×C₁₁	1	2	yes	—
827	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
828	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
829	C₄×D₄	C₂³×C₁₁	1	2	yes	—
830	C₄×D₄	C₂³×C₁₁	1	2	yes	—
831	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
832	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
833	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
834	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
835	#117	—	2	2	no	—
836	#117	—	2	1	no	—
837	#117	—	2	1	no	—
838	#117	—	2	2	no	—
839	#117	—	2	2	no	—
840	#117	C₂³×C₁₁	1	1	yes	characteristic
841	#117	C₂³×C₁₁	1	1	yes	characteristic
842	#117	C₂³×C₁₁	1	1	yes	characteristic
843	#117	C₂³×C₁₁	1	2	yes	—
844	C₂×C₄⋊C₄	—	2	1	no	—
845	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
846	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
847	C₂×C₂²⋊C₄	—	2	1	no	—
848	C₂×C₄²	—	2	1	no	—
849	C₂×C₄²	—	2	1	no	—
850	C₂×C₄²	—	2	1	no	—
851	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
852	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
853	#107	C₂³×C₁₁	1	2	yes	—
854	#107	C₂³×C₁₁	1	2	yes	—
855	#107	C₂³×C₁₁	1	1	yes	characteristic
856	#107	C₂³×C₁₁	1	1	yes	characteristic
857	#107	C₂³×C₁₁	1	2	yes	—
858	#107	C₂³×C₁₁	1	2	yes	—
859	#106	C₂³×C₁₁	1	1	yes	characteristic
860	#106	C₂³×C₁₁	1	1	yes	characteristic
861	#106	C₂³×C₁₁	1	2	yes	—
862	#106	C₂³×C₁₁	1	2	yes	—
863	#103	C₂³×C₁₁	1	2	yes	—
864	#103	C₂³×C₁₁	1	2	yes	—
865	#103	C₂³×C₁₁	1	1	yes	characteristic
866	#103	C₂³×C₁₁	1	1	yes	characteristic
867	#103	C₂³×C₁₁	1	1	yes	characteristic
868	#103	C₂³×C₁₁	1	1	yes	characteristic
869	#103	C₂³×C₁₁	1	2	yes	—
870	#103	C₂³×C₁₁	1	2	yes	—
871	#103	C₂³×C₁₁	1	2	yes	—
872	#103	C₂³×C₁₁	1	2	yes	—
873	#102	C₂³×C₁₁	1	2	yes	—
874	#102	C₂³×C₁₁	1	2	yes	—
875	#102	C₂³×C₁₁	1	1	yes	characteristic
876	#102	C₂³×C₁₁	1	1	yes	characteristic
877	#102	C₂³×C₁₁	1	1	yes	characteristic
878	#102	C₂³×C₁₁	1	1	yes	characteristic
879	#102	C₂³×C₁₁	1	2	yes	—
880	#102	C₂³×C₁₁	1	2	yes	—
881	#102	C₂³×C₁₁	1	2	yes	—
882	#102	C₂³×C₁₁	1	2	yes	—
883	#97	C₂³×C₁₁	1	1	yes	characteristic
884	#97	C₂³×C₁₁	1	1	yes	characteristic
885	#97	C₂³×C₁₁	1	1	yes	characteristic
886	#97	C₂³×C₁₁	1	1	yes	characteristic
887	#97	C₂³×C₁₁	1	2	yes	—
888	#97	C₂³×C₁₁	1	2	yes	—
889	#97	C₂³×C₁₁	1	2	yes	—
890	C₄×C₈	C₂³×C₁₁	1	2	yes	—
891	C₄×C₈	C₂³×C₁₁	1	2	yes	—
892	C₄×C₈	C₂³×C₁₁	1	2	yes	—
893	C₂×C₁₁	—	2	2	no	—
894	C₂×C₁₁	—	4	2	no	—
895	C₂×C₁₁	—	8	1	no	—
896	C₂×C₁₁	—	8	1	no	—
897	C₂×C₁₁	—	8	2	no	—
898	C₂×C₁₁	C₂×#532	1	1	yes	characteristic
899	C₂×C₁₁	#3585	1	1	yes	characteristic
900	C₂×C₁₁	#3586	1	1	yes	characteristic
901	C₂⁴	—	2	1	no	—
902	#41	—	2	2	no	—
903	#41	—	2	2	no	—
904	#41	—	2	2	no	—
905	#41	—	2	2	no	—
906	#41	—	2	2	no	—
907	#41	—	2	2	no	—
908	#41	—	8	4	no	—
909	C₂×Q₈	—	2	1	no	—
910	C₂×Q₈	—	2	2	no	—
911	C₂×Q₈	—	2	2	no	—
912	C₂×Q₈	—	2	2	no	—
913	C₂×Q₈	—	2	2	no	—
914	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
915	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
916	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
917	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
918	C₂×D₄	—	2	1	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	1	no	—
925	C₂×D₄	—	2	2	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	2	no	—
929	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
930	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
931	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
932	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
933	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
934	C₂²×C₄	—	2	1	no	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	1	no	—
937	C₂²×C₄	—	2	1	no	—
938	C₂²×C₄	—	2	1	no	—
939	C₂²×C₄	—	2	1	no	—
940	C₂²×C₄	—	2	1	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	1	no	—
943	C₂²×C₄	—	2	1	no	—
944	C₂²×C₄	—	2	2	no	—
945	C₂²×C₄	—	8	2	no	—
946	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
947	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
948	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
949	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
950	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
951	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
952	Q₁₆	—	2	2	no	—
953	Q₁₆	—	2	4	no	—
954	SD₁₆	—	2	4	no	—
955	SD₁₆	—	2	4	no	—
956	SD₁₆	—	2	2	no	—
957	SD₁₆	—	2	2	no	—
958	SD₁₆	—	2	4	no	—
959	SD₁₆	—	2	4	no	—
960	D₈	—	2	2	no	—
961	D₈	—	2	4	no	—
962	M₁₆	—	2	2	no	—
963	M₁₆	—	2	4	no	—
964	M₁₆	—	2	4	no	—
965	M₁₆	C₁₁×#41	1	4	yes	complemented
966	C₂×C₈	—	2	2	no	—
967	C₂×C₈	—	2	4	no	—
968	C₂×C₈	—	2	4	no	—
969	C₂×C₈	C₁₁×#41	1	4	yes	complemented
970	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
971	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
972	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
973	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
974	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
975	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	2	no	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	2	no	—
993	C₄⋊C₄	—	2	2	no	—
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
997	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
998	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
999	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1000	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1001	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
1002	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1003	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1004	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
1005	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	1	no	—
1009	C₂²⋊C₄	—	2	1	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	1	no	—
1015	C₂²⋊C₄	—	2	1	no	—
1016	C₂²⋊C₄	—	2	1	no	—
1017	C₂²⋊C₄	—	2	1	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1027	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1028	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1029	C₄²	—	2	1	no	—
1030	C₄²	—	2	2	no	—
1031	C₄²	—	2	1	no	—
1032	C₄²	—	2	1	no	—
1033	C₄²	—	2	1	no	—
1034	C₄²	—	2	1	no	—
1035	C₄²	—	2	1	no	—
1036	C₄²	—	2	2	no	—
1037	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1038	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1039	C₄²	C₂×D₄×C₁₁	1	2	yes	—
1040	C₄²	C₂×D₄×C₁₁	1	2	yes	—
1041	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1042	C₄²	C₂⁴×C₁₁	1	2	yes	—
1043	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1044	C₁₁	#60697	1	1	yes	characteristic, direct product factor, Sylow
1045	C₂³	—	2	1	no	—
1046	C₂³	—	2	2	no	—
1047	C₂³	—	2	1	no	—
1048	C₂³	—	4	2	no	—
1049	C₂³	—	8	1	no	—
1050	C₂³	—	8	1	no	—
1051	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
1052	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1053	Q₈	—	2	2	no	—
1054	Q₈	—	2	2	no	—
1055	Q₈	—	2	1	no	—
1056	Q₈	—	2	2	no	—
1057	Q₈	—	2	1	no	—
1058	Q₈	—	2	1	no	—
1059	Q₈	—	2	1	no	—
1060	Q₈	—	4	2	no	—
1061	Q₈	—	8	2	no	—
1062	Q₈	—	8	2	no	—
1063	D₄	—	2	4	no	—
1064	D₄	—	2	2	no	—
1065	D₄	—	2	1	no	—
1066	D₄	—	2	2	no	—
1067	D₄	—	2	1	no	—
1068	D₄	—	2	1	no	—
1069	D₄	—	2	2	no	—
1070	D₄	—	2	1	no	—
1071	D₄	—	4	2	no	—
1072	D₄	—	4	2	no	—
1073	D₄	—	4	2	no	—
1074	D₄	—	8	2	no	—
1075	D₄	—	8	2	no	—
1076	D₄	—	8	2	no	—
1077	D₄	—	8	2	no	—
1078	D₄	—	8	2	no	—
1079	D₄	—	8	2	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	2	no	—
1091	C₂×C₄	—	4	1	no	—
1092	C₂×C₄	—	4	1	no	—
1093	C₂×C₄	—	4	2	no	—
1094	C₂×C₄	—	4	2	no	—
1095	C₂×C₄	—	4	2	no	—
1096	C₂×C₄	—	4	4	no	—
1097	C₂×C₄	—	4	2	no	—
1098	C₂×C₄	—	4	2	no	—
1099	C₂×C₄	—	4	2	no	—
1100	C₂×C₄	—	4	2	no	—
1101	C₂×C₄	—	8	1	no	—
1102	C₂×C₄	—	8	1	no	—
1103	C₂×C₄	—	8	2	no	—
1104	C₂×C₄	—	8	1	no	—
1105	C₂×C₄	—	8	1	no	—
1106	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1107	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1108	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1109	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1110	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1111	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1112	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1113	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1114	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
1115	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
1116	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
1117	C₈	—	2	1	no	—
1118	C₈	—	2	1	no	—
1119	C₈	—	2	2	no	—
1120	C₈	C₂×C₁₁×#41	1	2	yes	—
1121	C₈	C₂×C₁₁×#41	1	4	yes	—
1122	C₈	C₂×C₁₁×#41	1	2	yes	—
1123	C₂²	—	2	1	no	—
1124	C₂²	—	2	1	no	—
1125	C₂²	—	2	2	no	—
1126	C₂²	—	2	2	no	—
1127	C₂²	—	2	2	no	—
1128	C₂²	—	4	1	no	—
1129	C₂²	—	4	1	no	—
1130	C₂²	—	4	2	no	—
1131	C₂²	—	4	2	no	—
1132	C₂²	—	4	1	no	—
1133	C₂²	—	4	1	no	—
1134	C₂²	—	4	1	no	—
1135	C₂²	—	4	1	no	—
1136	C₂²	—	4	2	no	—
1137	C₂²	—	8	4	no	—
1138	C₂²	C₁₁×#532	1	2	yes	—
1139	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
1140	C₄	—	2	2	no	—
1141	C₄	—	2	1	no	—
1142	C₄	—	2	1	no	—
1143	C₄	—	2	2	no	—
1144	C₄	—	2	1	no	—
1145	C₄	—	2	1	no	—
1146	C₄	—	2	2	no	—
1147	C₄	—	4	1	no	—
1148	C₄	—	4	1	no	—
1149	C₄	—	4	2	no	—
1150	C₄	—	4	2	no	—
1151	C₄	—	4	1	no	—
1152	C₄	—	4	2	no	—
1153	C₄	—	4	1	no	—
1154	C₄	—	4	1	no	—
1155	C₄	—	4	1	no	—
1156	C₄	C₁₁×#532	1	2	yes	—
1157	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
1158	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
1159	C₂	—	2	2	no	—
1160	C₂	—	4	2	no	—
1161	C₂	—	8	2	no	—
1162	C₂	—	8	1	no	—
1163	C₂	—	8	1	no	—
1164	C₂	C₂×C₁₁×#532	1	1	yes	characteristic
1165	C₂	C₁₁×#3585	1	1	yes	characteristic
1166	C₂	C₁₁×#3586	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 ◁ C₄×C₁₁×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3461	C₂	semidirect
2. C₁₁×#3460	C₂	semidirect
3. C₁₁×#3183	C₂	semidirect
4. C₁₁×#3182	C₂	semidirect
5. C₁₁×#3181	C₂	semidirect
6. C₁₁×#3180	C₂	semidirect
7. C₁₁×#3179	C₂	semidirect
8. C₁₁×#3178	C₂	semidirect
9. C₁₁×#3175	C₂	semidirect
10. C₁₁×#3174	C₂	semidirect
11. C₁₁×#3164	C₂	semidirect
12. C₁₁×#3154	C₂	semidirect
13. C₁₁×#3137	C₂	semidirect
14. C₁₁×#3136	C₂	semidirect
15. C₁₁×#3063	C₂	semidirect
16. C₁₁×#3062	C₂	semidirect
17. C₁₁×#3061	C₂	semidirect
18. C₁₁×#3057	C₂	semidirect
19. C₄×C₁₁×#137	C₂	semidirect
20. C₄×C₁₁×AGL(1,ℤ/8)	C₂	semidirect
21. C₁₁×#2943	C₂	semidirect
22. C₂×C₁₁×#440	C₂	semidirect
23. C₁₁×#2875	C₂	semidirect
35. C₁₁×#542	C₂²	semidirect
37. C₁₁×#541	C₂²	semidirect
49. C₁₁×#533	C₂²	semidirect
56. C₁₁×#529	C₂²	semidirect
63. C₁₁×#501	C₂²	semidirect
64. C₁₁×#501	C₂²	semidirect
65. C₁₁×#500	C₂²	semidirect
66. C₁₁×#499	C₂²	semidirect
71. C₁₁×#491	C₂²	semidirect
74. C₁₁×#489	C₂²	semidirect
76. C₁₁×#488	C₂²	semidirect
77. C₁₁×#487	C₂²	semidirect
79. C₁₁×#470	C₂²	semidirect
84. C₁₁×#468	C₂²	semidirect
85. C₁₁×#468	C₂²	semidirect
86. C₁₁×#468	C₂²	semidirect
87. C₁₁×#467	C₂²	semidirect
88. C₁₁×#467	C₂²	semidirect
90. C₁₁×#466	C₂²	semidirect
94. C₁₁×#465	C₂²	semidirect
96. C₁₁×#442	C₂²	semidirect
97. C₁₁×#442	C₂²	semidirect
98. C₁₁×#441	C₂²	semidirect
99. C₁₁×#441	C₂²	semidirect
100. C₁₁×#441	C₂²	semidirect
106. C₁₁×#440	C₂²	semidirect
107. C₁₁×#440	C₂²	semidirect
108. C₁₁×#440	C₂²	semidirect
109. C₁₁×#440	C₂²	semidirect
110. C₁₁×#440	C₂²	semidirect
111. C₄×C₁₁×Q₁₆	C₂²	semidirect
113. C₄×C₁₁×SD₁₆	C₂²	semidirect
129. C₁₁×#405	C₂²	semidirect
130. C₁₁×#405	C₂²	semidirect
132. C₄×C₁₁×M₁₆	C₂²	semidirect
134. C₂×C₁₁×#97	C₂²	semidirect
318. #60697	C₁₁	direct (N × H)
383. C₁₁×M₁₆	#41	semidirect
387. C₂×C₈×C₁₁	#41	semidirect
462. #3461	C₂×C₁₁	semidirect
463. #3460	C₂×C₁₁	semidirect
464. #3183	C₂×C₁₁	semidirect
465. #3182	C₂×C₁₁	semidirect
466. #3181	C₂×C₁₁	semidirect
467. #3180	C₂×C₁₁	semidirect
468. #3179	C₂×C₁₁	semidirect
469. #3178	C₂×C₁₁	semidirect
470. #3175	C₂×C₁₁	semidirect
471. #3174	C₂×C₁₁	semidirect
472. #3164	C₂×C₁₁	semidirect
473. #3154	C₂×C₁₁	semidirect
474. #3137	C₂×C₁₁	semidirect
475. #3136	C₂×C₁₁	semidirect
476. #3063	C₂×C₁₁	semidirect
477. #3062	C₂×C₁₁	semidirect
478. #3061	C₂×C₁₁	semidirect
479. #3057	C₂×C₁₁	semidirect
480. C₄×#137	C₂×C₁₁	semidirect
481. C₄×AGL(1,ℤ/8)	C₂×C₁₁	semidirect
482. #2943	C₂×C₁₁	semidirect
483. C₂×#440	C₂×C₁₁	semidirect
484. #2875	C₂×C₁₁	semidirect
574. #542	C₂²×C₁₁	semidirect
576. #541	C₂²×C₁₁	semidirect
588. #533	C₂²×C₁₁	semidirect
595. #529	C₂²×C₁₁	semidirect
602. #501	C₂²×C₁₁	semidirect
603. #501	C₂²×C₁₁	semidirect
604. #500	C₂²×C₁₁	semidirect
605. #499	C₂²×C₁₁	semidirect
610. #491	C₂²×C₁₁	semidirect
613. #489	C₂²×C₁₁	semidirect
615. #488	C₂²×C₁₁	semidirect
616. #487	C₂²×C₁₁	semidirect
618. #470	C₂²×C₁₁	semidirect
623. #468	C₂²×C₁₁	semidirect
624. #468	C₂²×C₁₁	semidirect
625. #468	C₂²×C₁₁	semidirect
626. #467	C₂²×C₁₁	semidirect
627. #467	C₂²×C₁₁	semidirect
629. #466	C₂²×C₁₁	semidirect
633. #465	C₂²×C₁₁	semidirect
635. #442	C₂²×C₁₁	semidirect
636. #442	C₂²×C₁₁	semidirect
637. #441	C₂²×C₁₁	semidirect
638. #441	C₂²×C₁₁	semidirect
639. #441	C₂²×C₁₁	semidirect
645. #440	C₂²×C₁₁	semidirect
646. #440	C₂²×C₁₁	semidirect
647. #440	C₂²×C₁₁	semidirect
648. #440	C₂²×C₁₁	semidirect
649. #440	C₂²×C₁₁	semidirect
650. C₄×Q₁₆	C₂²×C₁₁	semidirect
652. C₄×SD₁₆	C₂²×C₁₁	semidirect
668. #405	C₂²×C₁₁	semidirect
669. #405	C₂²×C₁₁	semidirect
671. C₄×M₁₆	C₂²×C₁₁	semidirect
673. C₂×#97	C₂²×C₁₁	semidirect
965. M₁₆	C₁₁×#41	semidirect
969. C₂×C₈	C₁₁×#41	semidirect
1044. C₁₁	#60697	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×#3461	2
C₁₁×#3460	2
C₁₁×#3183	2
C₁₁×#3182	2
C₁₁×#3181	2
C₁₁×#3180	2
C₁₁×#3179	2
C₁₁×#3178	2
C₁₁×#3175	2
C₁₁×#3174	2
C₁₁×#3164	2
C₁₁×#3154	2
C₁₁×#3137	2
C₁₁×#3136	2
C₁₁×#3063	2
C₁₁×#3062	2
C₁₁×#3061	2
C₁₁×#3057	2
C₄×C₁₁×#137	2
C₄×C₁₁×AGL(1,ℤ/8)	2
C₁₁×#2943	2
C₂×C₁₁×#440	2
C₁₁×#2875	2
#60697	11

Subgroups — C11×#60697 #14637890

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60697 #14637890