Subgroups — C₁₁×#62006 #14639199

Order 2816.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1166 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3514	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3480	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3396	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#3394	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#3365	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#3364	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#3328	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#3326	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3324	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3322	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3278	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3277	C₂	1	2	yes	maximal, complemented
13	C₁₁×#3275	C₂	1	2	yes	maximal, complemented
14	C₁₁×#3274	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3256	C₂	1	2	yes	maximal, complemented
16	C₁₁×#3251	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#3211	C₂	1	2	yes	maximal, complemented
18	C₁₁×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₁×#3108	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₁×#3102	C₂	1	2	yes	maximal, complemented
21	C₁₁×#3040	C₂	1	2	yes	maximal, complemented
22	C₁₁×#3037	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2991	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×#137	C₂²	1	2	yes	complemented
25	C₂×C₁₁×#137	C₂²	1	2	yes	complemented
26	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	—
27	C₁₁×#559	—	2	1	no	—
28	C₁₁×#559	C₂²	1	1	yes	characteristic
29	C₁₁×#559	C₂²	1	1	yes	characteristic, complemented
30	C₁₁×#557	C₂²	1	1	yes	characteristic, complemented
31	C₁₁×#556	—	2	1	no	—
32	C₁₁×#556	C₂²	1	1	yes	characteristic
33	C₁₁×#556	C₂²	1	1	yes	characteristic
34	C₁₁×#555	—	2	1	no	—
35	C₁₁×#553	—	2	2	no	—
36	C₁₁×#553	C₂²	1	2	yes	complemented
37	C₁₁×#551	—	2	2	no	—
38	C₁₁×#550	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
40	C₁₁×#548	C₂²	1	2	yes	—
41	C₁₁×#548	C₂²	1	2	yes	complemented
42	C₁₁×#546	—	2	1	no	—
43	C₁₁×#546	C₂²	1	2	yes	—
44	D₄²×C₁₁	C₂²	1	1	yes	characteristic
45	C₁₁×#542	—	2	1	no	—
46	C₁₁×#538	—	2	2	no	—
47	C₁₁×#532	—	2	1	no	—
48	C₁₁×#532	C₂²	1	1	yes	characteristic
49	C₁₁×#532	C₂²	1	1	yes	characteristic, complemented
50	C₁₁×#529	—	2	2	no	—
51	C₁₁×#529	C₂²	1	1	yes	characteristic
52	C₁₁×#529	C₂²	1	2	yes	—
53	C₁₁×#529	C₂²	1	2	yes	complemented
54	C₂×C₁₁×#124	C₂²	1	2	yes	—
55	C₁₁×#518	—	2	1	no	—
56	C₄×C₁₁×#41	—	2	1	no	—
57	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
58	C₄×C₁₁×#41	C₂²	1	2	yes	complemented
59	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
60	C₁₁×#495	C₂²	1	2	yes	—
61	C₁₁×#495	C₂²	1	2	yes	complemented
62	C₁₁×#493	C₂²	1	1	yes	characteristic
63	C₁₁×#492	C₂²	1	1	yes	characteristic, complemented
64	C₁₁×#488	C₂²	1	2	yes	—
65	C₁₁×#488	C₂²	1	2	yes	complemented
66	C₁₁×#487	C₂²	1	1	yes	characteristic, complemented
67	C₁₁×#486	C₂²	1	1	yes	characteristic
68	C₁₁×#485	C₂²	1	2	yes	complemented
69	C₁₁×#483	C₂²	1	1	yes	characteristic, complemented
70	C₁₁×#482	C₂²	1	2	yes	—
71	C₁₁×#480	C₂²	1	1	yes	characteristic
72	C₁₁×#479	C₂²	1	1	yes	characteristic, complemented
73	C₁₁×#479	C₂²	1	2	yes	complemented
74	C₁₁×#479	C₂²	1	1	yes	characteristic, complemented
75	C₁₁×#478	C₂²	1	2	yes	complemented
76	C₁₁×#478	C₂²	1	2	yes	complemented
77	C₁₁×#475	C₂²	1	1	yes	characteristic, complemented
78	C₁₁×#474	C₂²	1	1	yes	characteristic
79	C₁₁×#470	C₂²	1	2	yes	complemented
80	C₁₁×#469	C₂²	1	2	yes	—
81	C₁₁×#469	C₂²	1	2	yes	—
82	C₁₁×#468	C₂²	1	2	yes	—
83	C₁₁×#468	C₂²	1	2	yes	complemented
84	C₁₁×#468	C₂²	1	2	yes	complemented
85	C₁₁×#464	C₂²	1	1	yes	characteristic
86	C₁₁×#464	C₂²	1	2	yes	—
87	C₁₁×#464	C₂²	1	1	yes	characteristic
88	C₁₁×#464	C₂²	1	2	yes	complemented
89	C₁₁×#464	C₂²	1	2	yes	complemented
90	C₁₁×#464	C₂²	1	2	yes	complemented
91	C₁₁×#464	C₂²	1	2	yes	complemented
92	C₁₁×#463	C₂²	1	2	yes	—
93	C₁₁×#463	C₂²	1	2	yes	—
94	C₁₁×#463	C₂²	1	2	yes	complemented
95	C₁₁×#463	C₂²	1	2	yes	complemented
96	C₁₁×#463	C₂²	1	2	yes	complemented
97	C₁₁×#463	C₂²	1	2	yes	complemented
98	C₁₁×#462	C₂²	1	1	yes	characteristic, complemented
99	C₁₁×#462	C₂²	1	1	yes	characteristic, complemented
100	C₁₁×#460	C₂²	1	1	yes	characteristic
101	C₁₁×#460	C₂²	1	1	yes	characteristic
102	C₁₁×#460	C₂²	1	1	yes	characteristic, complemented
103	C₁₁×#459	C₂²	1	1	yes	characteristic
104	C₁₁×#452	C₂²	1	2	yes	complemented
105	C₁₁×#451	C₂²	1	2	yes	complemented
106	C₁₁×#451	C₂²	1	1	yes	characteristic, complemented
107	C₁₁×#450	C₂²	1	2	yes	—
108	C₁₁×#449	C₂²	1	2	yes	—
109	C₁₁×#449	C₂²	1	2	yes	complemented
110	C₁₁×#449	C₂²	1	2	yes	complemented
111	C₁₁×#448	C₂²	1	1	yes	characteristic
112	C₁₁×#448	C₂²	1	2	yes	complemented
113	C₁₁×#447	C₂²	1	2	yes	—
114	C₈×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
115	C₈×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
116	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	complemented
117	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
120	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
121	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
122	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
123	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
124	C₁₁×#436	C₂²	1	1	yes	characteristic
125	C₁₁×#436	C₂²	1	1	yes	characteristic
126	C₁₁×#436	C₂²	1	2	yes	complemented
127	C₁₁×#436	C₂²	1	2	yes	complemented
128	C₁₁×#431	C₂²	1	1	yes	characteristic, complemented
129	C₁₁×#431	C₂²	1	2	yes	complemented
130	C₁₁×#423	C₂²	1	1	yes	characteristic, complemented
131	C₁₁×#423	C₂²	1	2	yes	complemented
132	C₁₁×#419	C₂²	1	2	yes	complemented
133	C₁₁×#418	C₂²	1	2	yes	—
134	C₁₁×#417	C₂²	1	2	yes	complemented
135	C₂×C₁₁×#41	—	2	1	no	—
136	C₂×C₁₁×#41	D₄	1	1	yes	characteristic
137	C₂×C₁₁×#41	C₂³	1	2	yes	—
138	C₂×C₁₁×#41	C₂³	1	2	yes	—
139	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
140	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₁	—	2	1	no	—
142	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
143	C₁₁×#137	—	4	4	no	—
144	C₁₁×#137	—	4	4	no	—
145	C₁₁×AGL(1,ℤ/8)	—	4	4	no	—
146	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
155	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₁×D₈	C₂³	1	2	yes	—
158	C₂×C₁₁×D₈	C₂³	1	2	yes	—
159	C₂×C₁₁×D₈	C₂³	1	2	yes	—
160	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
161	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
162	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
163	C₁₁×C₄⋊Q₈	—	2	1	no	—
164	C₁₁×C₄⋊Q₈	—	2	1	no	—
165	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₁×#127	—	2	1	no	—
168	C₁₁×#127	C₂³	1	1	yes	characteristic
169	C₁₁×#127	C₂³	1	1	yes	characteristic
170	C₁₁×#126	—	2	2	no	—
171	C₁₁×#126	—	2	2	no	—
172	C₁₁×#126	—	2	2	no	—
173	C₁₁×#126	—	2	2	no	—
174	C₁₁×#126	—	2	1	no	—
175	C₁₁×#126	—	2	2	no	—
176	C₁₁×#125	—	2	2	no	—
177	C₁₁×#125	C₂³	1	1	yes	characteristic
178	C₁₁×#125	C₂³	1	2	yes	—
179	C₁₁×#124	—	2	1	no	—
180	C₁₁×#124	—	2	1	no	—
181	C₁₁×#124	—	2	1	no	—
182	C₁₁×#124	—	2	2	no	—
183	C₁₁×#124	—	2	2	no	—
184	C₁₁×#124	—	2	2	no	—
185	C₁₁×#124	—	2	2	no	—
186	C₁₁×#124	—	2	1	no	—
187	C₁₁×#124	C₂³	1	2	yes	—
188	C₁₁×#124	C₂³	1	2	yes	—
189	C₁₁×#124	C₂³	1	2	yes	—
190	C₁₁×#124	C₂³	1	1	yes	characteristic
191	C₁₁×#124	C₂³	1	2	yes	—
192	C₁₁×#123	—	2	1	no	—
193	C₁₁×#123	—	2	2	no	—
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×C₂²⋊Q₈	—	2	1	no	—
200	C₁₁×C₂²⋊Q₈	—	2	2	no	—
201	C₁₁×C₂²⋊Q₈	—	2	2	no	—
202	C₁₁×C₂²⋊Q₈	—	2	2	no	—
203	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
204	C₁₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
205	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
206	C₁₁×#121	—	2	2	no	—
207	C₁₁×#121	—	2	2	no	—
208	C₁₁×#121	—	2	2	no	—
209	C₁₁×#121	—	2	1	no	—
210	C₁₁×#121	—	2	1	no	—
211	C₁₁×#121	—	2	1	no	—
212	C₁₁×#121	—	2	1	no	—
213	C₁₁×#121	—	2	2	no	—
214	C₁₁×#121	—	2	2	no	—
215	C₁₁×#121	C₂³	1	2	yes	—
216	C₁₁×#121	C₂³	1	1	yes	characteristic
217	C₁₁×#121	C₂³	1	2	yes	—
218	C₁₁×#121	C₂³	1	2	yes	—
219	C₁₁×#120	—	2	2	no	—
220	C₁₁×#120	—	2	2	no	—
221	C₄×Q₈×C₁₁	—	2	1	no	—
222	C₄×Q₈×C₁₁	—	2	1	no	—
223	C₄×Q₈×C₁₁	—	2	1	no	—
224	C₄×Q₈×C₁₁	—	2	1	no	—
225	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
226	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
231	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
232	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
233	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
234	C₄×D₄×C₁₁	—	2	1	no	—
235	C₄×D₄×C₁₁	—	2	2	no	—
236	C₄×D₄×C₁₁	—	2	2	no	—
237	C₄×D₄×C₁₁	—	2	2	no	—
238	C₄×D₄×C₁₁	—	2	2	no	—
239	C₄×D₄×C₁₁	—	2	1	no	—
240	C₄×D₄×C₁₁	—	2	1	no	—
241	C₄×D₄×C₁₁	—	2	1	no	—
242	C₄×D₄×C₁₁	—	2	1	no	—
243	C₄×D₄×C₁₁	—	2	2	no	—
244	C₄×D₄×C₁₁	—	2	2	no	—
245	C₄×D₄×C₁₁	—	2	2	no	—
246	C₄×D₄×C₁₁	—	2	1	no	—
247	C₄×D₄×C₁₁	—	2	1	no	—
248	C₄×D₄×C₁₁	—	2	1	no	—
249	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
250	C₄×D₄×C₁₁	D₄	1	2	yes	—
251	C₄×D₄×C₁₁	C₂³	1	2	yes	—
252	C₄×D₄×C₁₁	C₂³	1	2	yes	—
253	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
254	C₄×D₄×C₁₁	C₂³	1	2	yes	—
255	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₁₁	C₂³	1	2	yes	—
257	C₁₁×#117	—	2	1	no	—
258	C₁₁×#117	—	2	2	no	—
259	C₁₁×#117	—	2	2	no	—
260	C₁₁×#117	—	2	1	no	—
261	C₁₁×#117	—	2	2	no	—
262	C₁₁×#117	D₄	1	1	yes	characteristic
263	C₁₁×#117	D₄	1	2	yes	—
264	C₁₁×#117	C₂³	1	2	yes	—
265	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
266	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
268	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
269	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
270	C₂×C₄²×C₁₁	—	2	1	no	—
271	C₂×C₄²×C₁₁	—	2	2	no	—
272	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
273	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
274	C₁₁×#107	C₂³	1	1	yes	characteristic
275	C₁₁×#107	C₂³	1	2	yes	—
276	C₁₁×#107	C₂³	1	1	yes	characteristic
277	C₁₁×#106	C₂³	1	1	yes	characteristic
278	C₁₁×#106	C₂³	1	1	yes	characteristic
279	C₁₁×#106	C₂³	1	2	yes	—
280	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₁×#103	C₂³	1	2	yes	—
288	C₁₁×#103	C₂³	1	2	yes	—
289	C₁₁×#103	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
294	C₁₁×#103	C₂³	1	1	yes	characteristic
295	C₁₁×#103	C₂³	1	1	yes	characteristic
296	C₁₁×#103	C₂³	1	1	yes	characteristic
297	C₁₁×#103	C₂³	1	2	yes	—
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	2	yes	—
303	C₁₁×#102	C₂³	1	2	yes	—
304	C₁₁×#102	C₂³	1	1	yes	characteristic
305	C₁₁×#102	C₂³	1	2	yes	—
306	C₁₁×#102	C₂³	1	2	yes	—
307	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
309	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₁	C₂³	1	2	yes	—
314	C₄×C₈×C₁₁	C₂³	1	2	yes	—
315	#62006	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₁	—	2	2	no	—
317	C₁₁×#41	—	2	4	no	—
318	C₁₁×#41	—	4	2	no	—
319	C₁₁×#41	—	4	2	no	—
320	C₁₁×#41	—	4	4	no	—
321	C₁₁×#41	—	4	2	no	—
322	C₁₁×#41	—	4	2	no	—
323	C₂×Q₈×C₁₁	—	2	1	no	—
324	C₂×Q₈×C₁₁	—	2	1	no	—
325	C₂×Q₈×C₁₁	—	2	2	no	—
326	C₂×Q₈×C₁₁	—	2	2	no	—
327	C₂×Q₈×C₁₁	—	4	1	no	—
328	C₂×Q₈×C₁₁	—	4	2	no	—
329	C₂×Q₈×C₁₁	—	4	2	no	—
330	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
331	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
332	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
333	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
334	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
335	C₂×D₄×C₁₁	—	2	2	no	—
336	C₂×D₄×C₁₁	—	2	2	no	—
337	C₂×D₄×C₁₁	—	2	2	no	—
338	C₂×D₄×C₁₁	—	2	1	no	—
339	C₂×D₄×C₁₁	—	2	2	no	—
340	C₂×D₄×C₁₁	—	2	2	no	—
341	C₂×D₄×C₁₁	—	2	1	no	—
342	C₂×D₄×C₁₁	—	2	1	no	—
343	C₂×D₄×C₁₁	—	2	1	no	—
344	C₂×D₄×C₁₁	—	2	1	no	—
345	C₂×D₄×C₁₁	—	2	2	no	—
346	C₂×D₄×C₁₁	—	4	2	no	—
347	C₂×D₄×C₁₁	—	4	2	no	—
348	C₂×D₄×C₁₁	—	4	4	no	—
349	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
350	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
351	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
352	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
353	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
354	C₂²×C₄×C₁₁	—	2	1	no	—
355	C₂²×C₄×C₁₁	—	2	1	no	—
356	C₂²×C₄×C₁₁	—	2	2	no	—
357	C₂²×C₄×C₁₁	—	2	2	no	—
358	C₂²×C₄×C₁₁	—	2	2	no	—
359	C₂²×C₄×C₁₁	—	2	1	no	—
360	C₂²×C₄×C₁₁	—	2	2	no	—
361	C₂²×C₄×C₁₁	—	2	2	no	—
362	C₂²×C₄×C₁₁	—	2	2	no	—
363	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
364	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
365	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
366	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
367	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
369	C₁₁×Q₁₆	—	2	2	no	—
370	C₁₁×Q₁₆	—	2	4	no	—
371	C₁₁×Q₁₆	—	4	1	no	—
372	C₁₁×Q₁₆	—	4	2	no	—
373	C₁₁×SD₁₆	—	2	2	no	—
374	C₁₁×SD₁₆	—	2	4	no	—
375	C₁₁×SD₁₆	—	4	2	no	—
376	C₁₁×SD₁₆	—	4	1	no	—
377	C₁₁×SD₁₆	—	4	2	no	—
378	C₁₁×SD₁₆	—	4	2	no	—
379	C₁₁×SD₁₆	—	4	2	no	—
380	C₁₁×D₈	—	4	2	no	—
381	C₁₁×D₈	—	4	2	no	—
382	C₁₁×D₈	—	4	2	no	—
383	C₁₁×M₁₆	—	4	2	no	—
384	C₁₁×M₁₆	—	4	2	no	—
385	C₁₁×M₁₆	—	4	2	no	—
386	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
387	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
388	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
389	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
390	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
391	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
392	C₁₁×C₄⋊C₄	—	2	1	no	—
393	C₁₁×C₄⋊C₄	—	2	1	no	—
394	C₁₁×C₄⋊C₄	—	2	1	no	—
395	C₁₁×C₄⋊C₄	—	2	1	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	2	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	1	no	—
406	C₁₁×C₄⋊C₄	—	2	1	no	—
407	C₁₁×C₄⋊C₄	—	2	2	no	—
408	C₁₁×C₄⋊C₄	—	2	2	no	—
409	C₁₁×C₄⋊C₄	—	2	1	no	—
410	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
411	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
412	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
413	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
414	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
415	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
416	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
417	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
419	C₁₁×C₂²⋊C₄	—	2	2	no	—
420	C₁₁×C₂²⋊C₄	—	2	2	no	—
421	C₁₁×C₂²⋊C₄	—	2	1	no	—
422	C₁₁×C₂²⋊C₄	—	2	2	no	—
423	C₁₁×C₂²⋊C₄	—	2	2	no	—
424	C₁₁×C₂²⋊C₄	—	2	1	no	—
425	C₁₁×C₂²⋊C₄	—	2	1	no	—
426	C₁₁×C₂²⋊C₄	—	2	1	no	—
427	C₁₁×C₂²⋊C₄	—	2	2	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	2	no	—
433	C₁₁×C₂²⋊C₄	—	2	2	no	—
434	C₁₁×C₂²⋊C₄	—	2	2	no	—
435	C₁₁×C₂²⋊C₄	—	2	2	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	1	no	—
440	C₁₁×C₂²⋊C₄	—	2	2	no	—
441	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
444	C₄²×C₁₁	—	2	1	no	—
445	C₄²×C₁₁	—	2	1	no	—
446	C₄²×C₁₁	—	2	2	no	—
447	C₄²×C₁₁	—	2	2	no	—
448	C₄²×C₁₁	—	2	1	no	—
449	C₄²×C₁₁	—	2	1	no	—
450	C₄²×C₁₁	—	2	2	no	—
451	C₄²×C₁₁	—	2	1	no	—
452	C₄²×C₁₁	C₂×D₄	1	2	yes	—
453	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
454	C₄²×C₁₁	C₂×D₄	1	2	yes	—
455	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
456	C₄²×C₁₁	C₂⁴	1	2	yes	—
457	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
458	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
459	#3514	C₂×C₁₁	1	1	yes	characteristic, complemented
460	#3480	C₂×C₁₁	1	1	yes	characteristic, complemented
461	#3396	C₂×C₁₁	1	1	yes	characteristic, complemented
462	#3394	C₂×C₁₁	1	1	yes	characteristic, complemented
463	#3365	C₂×C₁₁	1	1	yes	characteristic, complemented
464	#3364	C₂×C₁₁	1	1	yes	characteristic, complemented
465	#3328	C₂×C₁₁	1	1	yes	characteristic, complemented
466	#3326	C₂×C₁₁	1	2	yes	complemented
467	#3324	C₂×C₁₁	1	1	yes	characteristic, complemented
468	#3322	C₂×C₁₁	1	2	yes	complemented
469	#3278	C₂×C₁₁	1	1	yes	characteristic, complemented
470	#3277	C₂×C₁₁	1	2	yes	complemented
471	#3275	C₂×C₁₁	1	2	yes	complemented
472	#3274	C₂×C₁₁	1	1	yes	characteristic, complemented
473	#3256	C₂×C₁₁	1	2	yes	complemented
474	#3251	C₂×C₁₁	1	1	yes	characteristic, complemented
475	#3211	C₂×C₁₁	1	2	yes	complemented
476	#3207	C₂×C₁₁	1	1	yes	characteristic, complemented
477	#3108	C₂×C₁₁	1	1	yes	characteristic, complemented
478	#3102	C₂×C₁₁	1	2	yes	complemented
479	#3040	C₂×C₁₁	1	2	yes	complemented
480	#3037	C₂×C₁₁	1	1	yes	characteristic, complemented
481	#2991	C₂×C₁₁	1	1	yes	characteristic, complemented
482	C₂³×C₁₁	—	2	1	no	—
483	C₂³×C₁₁	—	2	2	no	—
484	C₂³×C₁₁	—	2	2	no	—
485	C₂³×C₁₁	—	4	4	no	—
486	C₂³×C₁₁	—	8	2	no	—
487	C₂³×C₁₁	—	8	2	no	—
488	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
489	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
490	Q₈×C₁₁	—	2	2	no	—
491	Q₈×C₁₁	—	2	1	no	—
492	Q₈×C₁₁	—	2	1	no	—
493	Q₈×C₁₁	—	2	1	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	—	4	2	no	—
499	Q₈×C₁₁	—	4	2	no	—
500	Q₈×C₁₁	—	8	2	no	—
501	Q₈×C₁₁	H(5,𝔽₂)	1	2	yes	—
502	D₄×C₁₁	—	2	2	no	—
503	D₄×C₁₁	—	2	1	no	—
504	D₄×C₁₁	—	2	2	no	—
505	D₄×C₁₁	—	2	2	no	—
506	D₄×C₁₁	—	2	2	no	—
507	D₄×C₁₁	—	2	2	no	—
508	D₄×C₁₁	—	2	1	no	—
509	D₄×C₁₁	—	4	2	no	—
510	D₄×C₁₁	—	4	4	no	—
511	D₄×C₁₁	—	4	4	no	—
512	D₄×C₁₁	—	4	4	no	—
513	D₄×C₁₁	—	4	2	no	—
514	D₄×C₁₁	—	4	2	no	—
515	D₄×C₁₁	—	8	1	no	—
516	D₄×C₁₁	—	8	1	no	—
517	D₄×C₁₁	—	8	2	no	—
518	D₄×C₁₁	—	8	1	no	—
519	D₄×C₁₁	—	8	2	no	—
520	D₄×C₁₁	—	8	2	no	—
521	C₂×C₄×C₁₁	—	2	1	no	—
522	C₂×C₄×C₁₁	—	2	2	no	—
523	C₂×C₄×C₁₁	—	2	2	no	—
524	C₂×C₄×C₁₁	—	2	1	no	—
525	C₂×C₄×C₁₁	—	2	2	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	1	no	—
530	C₂×C₄×C₁₁	—	2	2	no	—
531	C₂×C₄×C₁₁	—	2	1	no	—
532	C₂×C₄×C₁₁	—	2	1	no	—
533	C₂×C₄×C₁₁	—	2	1	no	—
534	C₂×C₄×C₁₁	—	2	2	no	—
535	C₂×C₄×C₁₁	—	4	2	no	—
536	C₂×C₄×C₁₁	—	4	1	no	—
537	C₂×C₄×C₁₁	—	4	2	no	—
538	C₂×C₄×C₁₁	—	4	4	no	—
539	C₂×C₄×C₁₁	—	4	2	no	—
540	C₂×C₄×C₁₁	—	4	4	no	—
541	C₂×C₄×C₁₁	—	4	2	no	—
542	C₂×C₄×C₁₁	—	8	2	no	—
543	C₂×C₄×C₁₁	—	8	2	no	—
544	C₂×C₄×C₁₁	—	8	2	no	—
545	C₂×C₄×C₁₁	—	8	1	no	—
546	C₂×C₄×C₁₁	—	8	2	no	—
547	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
548	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
549	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
550	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
551	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
553	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
554	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
555	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
556	C₈×C₁₁	—	2	1	no	—
557	C₈×C₁₁	—	2	2	no	—
558	C₈×C₁₁	—	2	1	no	—
559	C₈×C₁₁	—	2	2	no	—
560	C₈×C₁₁	—	2	1	no	—
561	C₈×C₁₁	—	2	1	no	—
562	C₂×#137	C₂²×C₁₁	1	2	yes	complemented
563	C₂×#137	C₂²×C₁₁	1	2	yes	complemented
564	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	—
565	#559	—	2	1	no	—
566	#559	C₂²×C₁₁	1	1	yes	characteristic
567	#559	C₂²×C₁₁	1	1	yes	characteristic, complemented
568	#557	C₂²×C₁₁	1	1	yes	characteristic, complemented
569	#556	—	2	1	no	—
570	#556	C₂²×C₁₁	1	1	yes	characteristic
571	#556	C₂²×C₁₁	1	1	yes	characteristic
572	#555	—	2	1	no	—
573	#553	—	2	2	no	—
574	#553	C₂²×C₁₁	1	2	yes	complemented
575	#551	—	2	2	no	—
576	#550	C₂²×C₁₁	1	1	yes	characteristic
577	D₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
578	#548	C₂²×C₁₁	1	2	yes	—
579	#548	C₂²×C₁₁	1	2	yes	complemented
580	#546	—	2	1	no	—
581	#546	C₂²×C₁₁	1	2	yes	—
582	D₄²	C₂²×C₁₁	1	1	yes	characteristic
583	#542	—	2	1	no	—
584	#538	—	2	2	no	—
585	#532	—	2	1	no	—
586	#532	C₂²×C₁₁	1	1	yes	characteristic
587	#532	C₂²×C₁₁	1	1	yes	characteristic, complemented
588	#529	—	2	2	no	—
589	#529	C₂²×C₁₁	1	2	yes	—
590	#529	C₂²×C₁₁	1	1	yes	characteristic
591	#529	C₂²×C₁₁	1	2	yes	complemented
592	C₂×#124	C₂²×C₁₁	1	2	yes	—
593	#518	—	2	1	no	—
594	C₄×#41	—	2	1	no	—
595	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
596	C₄×#41	C₂²×C₁₁	1	2	yes	complemented
597	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
598	#495	C₂²×C₁₁	1	2	yes	—
599	#495	C₂²×C₁₁	1	2	yes	complemented
600	#493	C₂²×C₁₁	1	1	yes	characteristic
601	#492	C₂²×C₁₁	1	1	yes	characteristic, complemented
602	#488	C₂²×C₁₁	1	2	yes	—
603	#488	C₂²×C₁₁	1	2	yes	complemented
604	#487	C₂²×C₁₁	1	1	yes	characteristic, complemented
605	#486	C₂²×C₁₁	1	1	yes	characteristic
606	#485	C₂²×C₁₁	1	2	yes	complemented
607	#483	C₂²×C₁₁	1	1	yes	characteristic, complemented
608	#482	C₂²×C₁₁	1	2	yes	—
609	#480	C₂²×C₁₁	1	1	yes	characteristic
610	#479	C₂²×C₁₁	1	1	yes	characteristic, complemented
611	#479	C₂²×C₁₁	1	1	yes	characteristic, complemented
612	#479	C₂²×C₁₁	1	2	yes	complemented
613	#478	C₂²×C₁₁	1	2	yes	complemented
614	#478	C₂²×C₁₁	1	2	yes	complemented
615	#475	C₂²×C₁₁	1	1	yes	characteristic, complemented
616	#474	C₂²×C₁₁	1	1	yes	characteristic
617	#470	C₂²×C₁₁	1	2	yes	complemented
618	#469	C₂²×C₁₁	1	2	yes	—
619	#469	C₂²×C₁₁	1	2	yes	—
620	#468	C₂²×C₁₁	1	2	yes	—
621	#468	C₂²×C₁₁	1	2	yes	complemented
622	#468	C₂²×C₁₁	1	2	yes	complemented
623	#464	C₂²×C₁₁	1	1	yes	characteristic
624	#464	C₂²×C₁₁	1	1	yes	characteristic
625	#464	C₂²×C₁₁	1	2	yes	—
626	#464	C₂²×C₁₁	1	2	yes	complemented
627	#464	C₂²×C₁₁	1	2	yes	complemented
628	#464	C₂²×C₁₁	1	2	yes	complemented
629	#464	C₂²×C₁₁	1	2	yes	complemented
630	#463	C₂²×C₁₁	1	2	yes	—
631	#463	C₂²×C₁₁	1	2	yes	—
632	#463	C₂²×C₁₁	1	2	yes	complemented
633	#463	C₂²×C₁₁	1	2	yes	complemented
634	#463	C₂²×C₁₁	1	2	yes	complemented
635	#463	C₂²×C₁₁	1	2	yes	complemented
636	#462	C₂²×C₁₁	1	1	yes	characteristic, complemented
637	#462	C₂²×C₁₁	1	1	yes	characteristic, complemented
638	#460	C₂²×C₁₁	1	1	yes	characteristic
639	#460	C₂²×C₁₁	1	1	yes	characteristic
640	#460	C₂²×C₁₁	1	1	yes	characteristic, complemented
641	#459	C₂²×C₁₁	1	1	yes	characteristic
642	#452	C₂²×C₁₁	1	2	yes	complemented
643	#451	C₂²×C₁₁	1	2	yes	complemented
644	#451	C₂²×C₁₁	1	1	yes	characteristic, complemented
645	#450	C₂²×C₁₁	1	2	yes	—
646	#449	C₂²×C₁₁	1	2	yes	—
647	#449	C₂²×C₁₁	1	2	yes	complemented
648	#449	C₂²×C₁₁	1	2	yes	complemented
649	#448	C₂²×C₁₁	1	1	yes	characteristic
650	#448	C₂²×C₁₁	1	2	yes	complemented
651	#447	C₂²×C₁₁	1	2	yes	—
652	C₈×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
653	C₈×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
654	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
655	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	complemented
656	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
657	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
658	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
659	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
660	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
661	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
662	#436	C₂²×C₁₁	1	1	yes	characteristic
663	#436	C₂²×C₁₁	1	1	yes	characteristic
664	#436	C₂²×C₁₁	1	2	yes	complemented
665	#436	C₂²×C₁₁	1	2	yes	complemented
666	#431	C₂²×C₁₁	1	2	yes	complemented
667	#431	C₂²×C₁₁	1	1	yes	characteristic, complemented
668	#423	C₂²×C₁₁	1	1	yes	characteristic, complemented
669	#423	C₂²×C₁₁	1	2	yes	complemented
670	#419	C₂²×C₁₁	1	2	yes	complemented
671	#418	C₂²×C₁₁	1	2	yes	—
672	#417	C₂²×C₁₁	1	2	yes	complemented
673	C₂²×C₁₁	—	2	1	no	—
674	C₂²×C₁₁	—	2	2	no	—
675	C₂²×C₁₁	—	2	1	no	—
676	C₂²×C₁₁	—	2	2	no	—
677	C₂²×C₁₁	—	2	1	no	—
678	C₂²×C₁₁	—	2	2	no	—
679	C₂²×C₁₁	—	4	2	no	—
680	C₂²×C₁₁	—	4	2	no	—
681	C₂²×C₁₁	—	4	1	no	—
682	C₂²×C₁₁	—	4	2	no	—
683	C₂²×C₁₁	—	4	2	no	—
684	C₂²×C₁₁	—	4	1	no	—
685	C₂²×C₁₁	—	4	2	no	—
686	C₂²×C₁₁	—	4	1	no	—
687	C₂²×C₁₁	—	4	2	no	—
688	C₂²×C₁₁	—	16	4	no	—
689	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
690	C₄×C₁₁	—	2	1	no	—
691	C₄×C₁₁	—	2	2	no	—
692	C₄×C₁₁	—	2	1	no	—
693	C₄×C₁₁	—	2	2	no	—
694	C₄×C₁₁	—	2	1	no	—
695	C₄×C₁₁	—	2	2	no	—
696	C₄×C₁₁	—	2	1	no	—
697	C₄×C₁₁	—	2	2	no	—
698	C₄×C₁₁	—	4	1	no	—
699	C₄×C₁₁	—	4	1	no	—
700	C₄×C₁₁	—	4	1	no	—
701	C₄×C₁₁	—	4	1	no	—
702	C₄×C₁₁	—	4	2	no	—
703	C₄×C₁₁	—	4	1	no	—
704	C₄×C₁₁	—	4	1	no	—
705	C₄×C₁₁	—	4	2	no	—
706	C₄×C₁₁	#575	1	2	yes	—
707	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
708	C₄×C₁₁	#585	1	1	yes	characteristic
709	C₂×#41	—	2	1	no	—
710	C₂×#41	D₄×C₁₁	1	1	yes	characteristic
711	C₂×#41	C₂³×C₁₁	1	2	yes	—
712	C₂×#41	C₂³×C₁₁	1	2	yes	—
713	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
714	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
715	C₂²×D₄	—	2	1	no	—
716	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
717	#137	—	4	4	no	—
718	#137	—	4	4	no	—
719	AGL(1,ℤ/8)	—	4	4	no	—
720	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
721	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
722	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
723	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
724	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
725	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
726	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
727	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
728	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
729	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
730	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
731	C₂×D₈	C₂³×C₁₁	1	2	yes	—
732	C₂×D₈	C₂³×C₁₁	1	2	yes	—
733	C₂×D₈	C₂³×C₁₁	1	2	yes	—
734	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
735	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
736	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
737	C₄⋊Q₈	—	2	1	no	—
738	C₄⋊Q₈	—	2	1	no	—
739	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
740	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
741	#127	—	2	1	no	—
742	#127	C₂³×C₁₁	1	1	yes	characteristic
743	#127	C₂³×C₁₁	1	1	yes	characteristic
744	#126	—	2	2	no	—
745	#126	—	2	2	no	—
746	#126	—	2	2	no	—
747	#126	—	2	2	no	—
748	#126	—	2	1	no	—
749	#126	—	2	2	no	—
750	#125	—	2	2	no	—
751	#125	C₂³×C₁₁	1	1	yes	characteristic
752	#125	C₂³×C₁₁	1	2	yes	—
753	#124	—	2	1	no	—
754	#124	—	2	1	no	—
755	#124	—	2	1	no	—
756	#124	—	2	2	no	—
757	#124	—	2	2	no	—
758	#124	—	2	2	no	—
759	#124	—	2	2	no	—
760	#124	—	2	1	no	—
761	#124	C₂³×C₁₁	1	1	yes	characteristic
762	#124	C₂³×C₁₁	1	2	yes	—
763	#124	C₂³×C₁₁	1	2	yes	—
764	#124	C₂³×C₁₁	1	2	yes	—
765	#124	C₂³×C₁₁	1	2	yes	—
766	#123	—	2	1	no	—
767	#123	—	2	2	no	—
768	#123	—	2	2	no	—
769	#123	—	2	2	no	—
770	#123	—	2	2	no	—
771	#123	—	2	2	no	—
772	#123	—	2	2	no	—
773	C₂²⋊Q₈	—	2	1	no	—
774	C₂²⋊Q₈	—	2	2	no	—
775	C₂²⋊Q₈	—	2	2	no	—
776	C₂²⋊Q₈	—	2	2	no	—
777	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
778	C₂²⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
779	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
780	#121	—	2	2	no	—
781	#121	—	2	2	no	—
782	#121	—	2	2	no	—
783	#121	—	2	1	no	—
784	#121	—	2	1	no	—
785	#121	—	2	1	no	—
786	#121	—	2	1	no	—
787	#121	—	2	2	no	—
788	#121	—	2	2	no	—
789	#121	C₂³×C₁₁	1	2	yes	—
790	#121	C₂³×C₁₁	1	1	yes	characteristic
791	#121	C₂³×C₁₁	1	2	yes	—
792	#121	C₂³×C₁₁	1	2	yes	—
793	#120	—	2	2	no	—
794	#120	—	2	2	no	—
795	C₄×Q₈	—	2	1	no	—
796	C₄×Q₈	—	2	1	no	—
797	C₄×Q₈	—	2	1	no	—
798	C₄×Q₈	—	2	1	no	—
799	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
800	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
801	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
802	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
803	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
804	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
805	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
806	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
807	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	2	no	—
810	C₄×D₄	—	2	2	no	—
811	C₄×D₄	—	2	2	no	—
812	C₄×D₄	—	2	2	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	2	no	—
818	C₄×D₄	—	2	2	no	—
819	C₄×D₄	—	2	2	no	—
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	—	2	1	no	—
822	C₄×D₄	—	2	1	no	—
823	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
824	C₄×D₄	D₄×C₁₁	1	2	yes	—
825	C₄×D₄	C₂³×C₁₁	1	2	yes	—
826	C₄×D₄	C₂³×C₁₁	1	2	yes	—
827	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
828	C₄×D₄	C₂³×C₁₁	1	2	yes	—
829	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
830	C₄×D₄	C₂³×C₁₁	1	2	yes	—
831	#117	—	2	1	no	—
832	#117	—	2	2	no	—
833	#117	—	2	2	no	—
834	#117	—	2	1	no	—
835	#117	—	2	2	no	—
836	#117	D₄×C₁₁	1	1	yes	characteristic
837	#117	D₄×C₁₁	1	2	yes	—
838	#117	C₂³×C₁₁	1	2	yes	—
839	C₂×C₄⋊C₄	—	2	1	no	—
840	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
841	C₂×C₂²⋊C₄	—	2	2	no	—
842	C₂×C₂²⋊C₄	—	2	2	no	—
843	C₂×C₂²⋊C₄	—	2	2	no	—
844	C₂×C₄²	—	2	1	no	—
845	C₂×C₄²	—	2	2	no	—
846	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
847	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
848	#107	C₂³×C₁₁	1	1	yes	characteristic
849	#107	C₂³×C₁₁	1	2	yes	—
850	#107	C₂³×C₁₁	1	1	yes	characteristic
851	#106	C₂³×C₁₁	1	1	yes	characteristic
852	#106	C₂³×C₁₁	1	1	yes	characteristic
853	#106	C₂³×C₁₁	1	2	yes	—
854	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
855	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
856	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
857	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
858	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
859	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
860	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
861	#103	C₂³×C₁₁	1	2	yes	—
862	#103	C₂³×C₁₁	1	2	yes	—
863	#103	C₂³×C₁₁	1	1	yes	characteristic
864	#103	C₂³×C₁₁	1	2	yes	—
865	#103	C₂³×C₁₁	1	2	yes	—
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	1	yes	characteristic
870	#103	C₂³×C₁₁	1	1	yes	characteristic
871	#103	C₂³×C₁₁	1	2	yes	—
872	#102	C₂³×C₁₁	1	2	yes	—
873	#102	C₂³×C₁₁	1	2	yes	—
874	#102	C₂³×C₁₁	1	1	yes	characteristic
875	#102	C₂³×C₁₁	1	2	yes	—
876	#102	C₂³×C₁₁	1	2	yes	—
877	#102	C₂³×C₁₁	1	2	yes	—
878	#102	C₂³×C₁₁	1	1	yes	characteristic
879	#102	C₂³×C₁₁	1	2	yes	—
880	#102	C₂³×C₁₁	1	2	yes	—
881	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
882	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
883	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
884	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
885	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
886	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
887	C₄×C₈	C₂³×C₁₁	1	2	yes	—
888	C₄×C₈	C₂³×C₁₁	1	2	yes	—
889	C₂×C₁₁	—	4	1	no	—
890	C₂×C₁₁	—	4	2	no	—
891	C₂×C₁₁	—	8	2	no	—
892	C₂×C₁₁	—	8	2	no	—
893	C₂×C₁₁	—	8	1	no	—
894	C₂×C₁₁	#3488	1	1	yes	characteristic
895	C₂×C₁₁	C₂×#575	1	1	yes	characteristic
896	C₂×C₁₁	#3584	1	1	yes	characteristic
897	C₂⁴	—	2	2	no	—
898	#41	—	2	4	no	—
899	#41	—	4	2	no	—
900	#41	—	4	2	no	—
901	#41	—	4	4	no	—
902	#41	—	4	2	no	—
903	#41	—	4	2	no	—
904	C₂×Q₈	—	2	1	no	—
905	C₂×Q₈	—	2	1	no	—
906	C₂×Q₈	—	2	2	no	—
907	C₂×Q₈	—	2	2	no	—
908	C₂×Q₈	—	4	1	no	—
909	C₂×Q₈	—	4	2	no	—
910	C₂×Q₈	—	4	2	no	—
911	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
912	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
913	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
914	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
915	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
916	C₂×D₄	—	2	2	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	1	no	—
923	C₂×D₄	—	2	1	no	—
924	C₂×D₄	—	2	1	no	—
925	C₂×D₄	—	2	1	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	4	2	no	—
928	C₂×D₄	—	4	2	no	—
929	C₂×D₄	—	4	4	no	—
930	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
931	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
932	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
933	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
934	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	1	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	—	2	1	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	2	no	—
944	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
945	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
946	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
947	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
948	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
949	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
950	Q₁₆	—	2	2	no	—
951	Q₁₆	—	2	4	no	—
952	Q₁₆	—	4	2	no	—
953	Q₁₆	—	4	1	no	—
954	SD₁₆	—	2	2	no	—
955	SD₁₆	—	2	4	no	—
956	SD₁₆	—	4	2	no	—
957	SD₁₆	—	4	2	no	—
958	SD₁₆	—	4	2	no	—
959	SD₁₆	—	4	2	no	—
960	SD₁₆	—	4	1	no	—
961	D₈	—	4	2	no	—
962	D₈	—	4	2	no	—
963	D₈	—	4	2	no	—
964	M₁₆	—	4	2	no	—
965	M₁₆	—	4	2	no	—
966	M₁₆	—	4	2	no	—
967	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
968	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
969	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
970	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
971	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
972	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	1	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	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	1	no	—
987	C₄⋊C₄	—	2	1	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	1	no	—
991	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
992	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
993	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
994	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
995	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
996	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
997	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
998	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
999	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	—	2	1	no	—
1007	C₂²⋊C₄	—	2	1	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	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	2	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	1	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1023	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1024	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1025	C₄²	—	2	1	no	—
1026	C₄²	—	2	1	no	—
1027	C₄²	—	2	2	no	—
1028	C₄²	—	2	2	no	—
1029	C₄²	—	2	1	no	—
1030	C₄²	—	2	1	no	—
1031	C₄²	—	2	2	no	—
1032	C₄²	—	2	1	no	—
1033	C₄²	C₂×D₄×C₁₁	1	2	yes	—
1034	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1035	C₄²	C₂×D₄×C₁₁	1	2	yes	—
1036	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1037	C₄²	C₂⁴×C₁₁	1	2	yes	—
1038	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1039	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1040	C₁₁	#62006	1	1	yes	characteristic, direct product factor, Sylow
1041	C₂³	—	2	1	no	—
1042	C₂³	—	2	2	no	—
1043	C₂³	—	2	2	no	—
1044	C₂³	—	4	4	no	—
1045	C₂³	—	8	2	no	—
1046	C₂³	—	8	2	no	—
1047	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
1048	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1049	Q₈	—	2	2	no	—
1050	Q₈	—	2	1	no	—
1051	Q₈	—	2	1	no	—
1052	Q₈	—	2	1	no	—
1053	Q₈	—	2	2	no	—
1054	Q₈	—	2	1	no	—
1055	Q₈	—	2	2	no	—
1056	Q₈	—	2	1	no	—
1057	Q₈	—	4	2	no	—
1058	Q₈	—	4	2	no	—
1059	Q₈	—	8	2	no	—
1060	Q₈	C₁₁×H(5,𝔽₂)	1	2	yes	—
1061	D₄	—	2	2	no	—
1062	D₄	—	2	1	no	—
1063	D₄	—	2	2	no	—
1064	D₄	—	2	2	no	—
1065	D₄	—	2	2	no	—
1066	D₄	—	2	2	no	—
1067	D₄	—	2	1	no	—
1068	D₄	—	4	2	no	—
1069	D₄	—	4	4	no	—
1070	D₄	—	4	4	no	—
1071	D₄	—	4	4	no	—
1072	D₄	—	4	2	no	—
1073	D₄	—	4	2	no	—
1074	D₄	—	8	1	no	—
1075	D₄	—	8	1	no	—
1076	D₄	—	8	2	no	—
1077	D₄	—	8	1	no	—
1078	D₄	—	8	2	no	—
1079	D₄	—	8	2	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	2	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	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	4	2	no	—
1095	C₂×C₄	—	4	1	no	—
1096	C₂×C₄	—	4	2	no	—
1097	C₂×C₄	—	4	4	no	—
1098	C₂×C₄	—	4	2	no	—
1099	C₂×C₄	—	4	4	no	—
1100	C₂×C₄	—	4	2	no	—
1101	C₂×C₄	—	8	2	no	—
1102	C₂×C₄	—	8	2	no	—
1103	C₂×C₄	—	8	2	no	—
1104	C₂×C₄	—	8	1	no	—
1105	C₂×C₄	—	8	2	no	—
1106	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1107	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1108	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1109	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1110	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1111	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1112	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1113	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1114	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
1115	C₈	—	2	1	no	—
1116	C₈	—	2	2	no	—
1117	C₈	—	2	1	no	—
1118	C₈	—	2	2	no	—
1119	C₈	—	2	1	no	—
1120	C₈	—	2	1	no	—
1121	C₂²	—	2	1	no	—
1122	C₂²	—	2	2	no	—
1123	C₂²	—	2	1	no	—
1124	C₂²	—	2	2	no	—
1125	C₂²	—	2	1	no	—
1126	C₂²	—	2	2	no	—
1127	C₂²	—	4	2	no	—
1128	C₂²	—	4	2	no	—
1129	C₂²	—	4	1	no	—
1130	C₂²	—	4	2	no	—
1131	C₂²	—	4	1	no	—
1132	C₂²	—	4	2	no	—
1133	C₂²	—	4	2	no	—
1134	C₂²	—	4	2	no	—
1135	C₂²	—	4	1	no	—
1136	C₂²	—	16	4	no	—
1137	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
1138	C₄	—	2	2	no	—
1139	C₄	—	2	1	no	—
1140	C₄	—	2	2	no	—
1141	C₄	—	2	1	no	—
1142	C₄	—	2	2	no	—
1143	C₄	—	2	1	no	—
1144	C₄	—	2	2	no	—
1145	C₄	—	2	1	no	—
1146	C₄	—	4	1	no	—
1147	C₄	—	4	2	no	—
1148	C₄	—	4	1	no	—
1149	C₄	—	4	1	no	—
1150	C₄	—	4	2	no	—
1151	C₄	—	4	1	no	—
1152	C₄	—	4	1	no	—
1153	C₄	—	4	1	no	—
1154	C₄	C₁₁×#575	1	2	yes	—
1155	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1156	C₄	C₁₁×#585	1	1	yes	characteristic
1157	C₂	—	4	2	no	—
1158	C₂	—	4	1	no	—
1159	C₂	—	8	1	no	—
1160	C₂	—	8	2	no	—
1161	C₂	—	8	2	no	—
1162	C₂	C₁₁×#3488	1	1	yes	characteristic
1163	C₂	C₂×C₁₁×#575	1	1	yes	characteristic
1164	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 ◁ C₄×C₁₁×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3514	C₂	semidirect
2. C₁₁×#3480	C₂	semidirect
3. C₁₁×#3396	C₂	semidirect
4. C₁₁×#3394	C₂	semidirect
5. C₁₁×#3365	C₂	semidirect
6. C₁₁×#3364	C₂	semidirect
7. C₁₁×#3328	C₂	semidirect
8. C₁₁×#3326	C₂	semidirect
9. C₁₁×#3324	C₂	semidirect
10. C₁₁×#3322	C₂	semidirect
11. C₁₁×#3278	C₂	semidirect
12. C₁₁×#3277	C₂	semidirect
13. C₁₁×#3275	C₂	semidirect
14. C₁₁×#3274	C₂	semidirect
15. C₁₁×#3256	C₂	semidirect
16. C₁₁×#3251	C₂	semidirect
17. C₁₁×#3211	C₂	semidirect
18. C₁₁×#3207	C₂	semidirect
19. C₁₁×#3108	C₂	semidirect
20. C₁₁×#3102	C₂	semidirect
21. C₁₁×#3040	C₂	semidirect
22. C₁₁×#3037	C₂	semidirect
23. C₁₁×#2991	C₂	semidirect
24. C₂×C₁₁×#137	C₂²	semidirect
25. C₂×C₁₁×#137	C₂²	semidirect
29. C₁₁×#559	C₂²	semidirect
30. C₁₁×#557	C₂²	semidirect
36. C₁₁×#553	C₂²	semidirect
41. C₁₁×#548	C₂²	semidirect
49. C₁₁×#532	C₂²	semidirect
53. C₁₁×#529	C₂²	semidirect
58. C₄×C₁₁×#41	C₂²	semidirect
59. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
61. C₁₁×#495	C₂²	semidirect
63. C₁₁×#492	C₂²	semidirect
65. C₁₁×#488	C₂²	semidirect
66. C₁₁×#487	C₂²	semidirect
68. C₁₁×#485	C₂²	semidirect
69. C₁₁×#483	C₂²	semidirect
72. C₁₁×#479	C₂²	semidirect
73. C₁₁×#479	C₂²	semidirect
74. C₁₁×#479	C₂²	semidirect
75. C₁₁×#478	C₂²	semidirect
76. C₁₁×#478	C₂²	semidirect
77. C₁₁×#475	C₂²	semidirect
79. C₁₁×#470	C₂²	semidirect
83. C₁₁×#468	C₂²	semidirect
84. C₁₁×#468	C₂²	semidirect
88. C₁₁×#464	C₂²	semidirect
89. C₁₁×#464	C₂²	semidirect
90. C₁₁×#464	C₂²	semidirect
91. C₁₁×#464	C₂²	semidirect
94. C₁₁×#463	C₂²	semidirect
95. C₁₁×#463	C₂²	semidirect
96. C₁₁×#463	C₂²	semidirect
97. C₁₁×#463	C₂²	semidirect
98. C₁₁×#462	C₂²	semidirect
99. C₁₁×#462	C₂²	semidirect
102. C₁₁×#460	C₂²	semidirect
104. C₁₁×#452	C₂²	semidirect
105. C₁₁×#451	C₂²	semidirect
106. C₁₁×#451	C₂²	semidirect
109. C₁₁×#449	C₂²	semidirect
110. C₁₁×#449	C₂²	semidirect
112. C₁₁×#448	C₂²	semidirect
114. C₈×Q₈×C₁₁	C₂²	semidirect
115. C₈×Q₈×C₁₁	C₂²	semidirect
116. C₄×C₁₁×Q₁₆	C₂²	semidirect
117. C₄×C₁₁×Q₁₆	C₂²	semidirect
118. C₄×C₁₁×Q₁₆	C₂²	semidirect
121. C₄×C₁₁×SD₁₆	C₂²	semidirect
122. C₄×C₁₁×SD₁₆	C₂²	semidirect
123. C₄×C₁₁×D₈	C₂²	semidirect
126. C₁₁×#436	C₂²	semidirect
127. C₁₁×#436	C₂²	semidirect
128. C₁₁×#431	C₂²	semidirect
129. C₁₁×#431	C₂²	semidirect
130. C₁₁×#423	C₂²	semidirect
131. C₁₁×#423	C₂²	semidirect
132. C₁₁×#419	C₂²	semidirect
134. C₁₁×#417	C₂²	semidirect
315. #62006	C₁₁	direct (N × H)
459. #3514	C₂×C₁₁	semidirect
460. #3480	C₂×C₁₁	semidirect
461. #3396	C₂×C₁₁	semidirect
462. #3394	C₂×C₁₁	semidirect
463. #3365	C₂×C₁₁	semidirect
464. #3364	C₂×C₁₁	semidirect
465. #3328	C₂×C₁₁	semidirect
466. #3326	C₂×C₁₁	semidirect
467. #3324	C₂×C₁₁	semidirect
468. #3322	C₂×C₁₁	semidirect
469. #3278	C₂×C₁₁	semidirect
470. #3277	C₂×C₁₁	semidirect
471. #3275	C₂×C₁₁	semidirect
472. #3274	C₂×C₁₁	semidirect
473. #3256	C₂×C₁₁	semidirect
474. #3251	C₂×C₁₁	semidirect
475. #3211	C₂×C₁₁	semidirect
476. #3207	C₂×C₁₁	semidirect
477. #3108	C₂×C₁₁	semidirect
478. #3102	C₂×C₁₁	semidirect
479. #3040	C₂×C₁₁	semidirect
480. #3037	C₂×C₁₁	semidirect
481. #2991	C₂×C₁₁	semidirect
562. C₂×#137	C₂²×C₁₁	semidirect
563. C₂×#137	C₂²×C₁₁	semidirect
567. #559	C₂²×C₁₁	semidirect
568. #557	C₂²×C₁₁	semidirect
574. #553	C₂²×C₁₁	semidirect
579. #548	C₂²×C₁₁	semidirect
587. #532	C₂²×C₁₁	semidirect
591. #529	C₂²×C₁₁	semidirect
596. C₄×#41	C₂²×C₁₁	semidirect
597. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
599. #495	C₂²×C₁₁	semidirect
601. #492	C₂²×C₁₁	semidirect
603. #488	C₂²×C₁₁	semidirect
604. #487	C₂²×C₁₁	semidirect
606. #485	C₂²×C₁₁	semidirect
607. #483	C₂²×C₁₁	semidirect
610. #479	C₂²×C₁₁	semidirect
611. #479	C₂²×C₁₁	semidirect
612. #479	C₂²×C₁₁	semidirect
613. #478	C₂²×C₁₁	semidirect
614. #478	C₂²×C₁₁	semidirect
615. #475	C₂²×C₁₁	semidirect
617. #470	C₂²×C₁₁	semidirect
621. #468	C₂²×C₁₁	semidirect
622. #468	C₂²×C₁₁	semidirect
626. #464	C₂²×C₁₁	semidirect
627. #464	C₂²×C₁₁	semidirect
628. #464	C₂²×C₁₁	semidirect
629. #464	C₂²×C₁₁	semidirect
632. #463	C₂²×C₁₁	semidirect
633. #463	C₂²×C₁₁	semidirect
634. #463	C₂²×C₁₁	semidirect
635. #463	C₂²×C₁₁	semidirect
636. #462	C₂²×C₁₁	semidirect
637. #462	C₂²×C₁₁	semidirect
640. #460	C₂²×C₁₁	semidirect
642. #452	C₂²×C₁₁	semidirect
643. #451	C₂²×C₁₁	semidirect
644. #451	C₂²×C₁₁	semidirect
647. #449	C₂²×C₁₁	semidirect
648. #449	C₂²×C₁₁	semidirect
650. #448	C₂²×C₁₁	semidirect
652. C₈×Q₈	C₂²×C₁₁	semidirect
653. C₈×Q₈	C₂²×C₁₁	semidirect
654. C₄×Q₁₆	C₂²×C₁₁	semidirect
655. C₄×Q₁₆	C₂²×C₁₁	semidirect
656. C₄×Q₁₆	C₂²×C₁₁	semidirect
659. C₄×SD₁₆	C₂²×C₁₁	semidirect
660. C₄×SD₁₆	C₂²×C₁₁	semidirect
661. C₄×D₈	C₂²×C₁₁	semidirect
664. #436	C₂²×C₁₁	semidirect
665. #436	C₂²×C₁₁	semidirect
666. #431	C₂²×C₁₁	semidirect
667. #431	C₂²×C₁₁	semidirect
668. #423	C₂²×C₁₁	semidirect
669. #423	C₂²×C₁₁	semidirect
670. #419	C₂²×C₁₁	semidirect
672. #417	C₂²×C₁₁	semidirect
1040. C₁₁	#62006	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×#3514	2
C₁₁×#3480	2
C₁₁×#3396	2
C₁₁×#3394	2
C₁₁×#3365	2
C₁₁×#3364	2
C₁₁×#3328	2
C₁₁×#3326	2
C₁₁×#3324	2
C₁₁×#3322	2
C₁₁×#3278	2
C₁₁×#3277	2
C₁₁×#3275	2
C₁₁×#3274	2
C₁₁×#3256	2
C₁₁×#3251	2
C₁₁×#3211	2
C₁₁×#3207	2
C₁₁×#3108	2
C₁₁×#3102	2
C₁₁×#3040	2
C₁₁×#3037	2
C₁₁×#2991	2
#62006	11

Subgroups — C11×#62006 #14639199

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#62006 #14639199