Subgroups — C₁₁×#61663 #14638856

Order 2816.

2064 conjugacy classes of subgroups.

The subgroup lattice has 1178 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3551	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3500	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3323	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3322	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3301	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3300	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3282	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3280	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3277	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3275	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3211	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3202	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3200	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3198	C₂	1	2	yes	maximal, complemented
15	C₁₁×#3102	C₂	1	2	yes	maximal, complemented
16	C₁₁×#3013	C₂	1	2	yes	maximal, complemented
17	C₁₁×#3009	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#3008	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₁×#2979	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₁×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
21	C₂×C₁₁×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
22	C₂×C₁₁×#137	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₁₁×#137	C₂²	1	2	yes	complemented
24	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×#135	C₂²	1	2	yes	complemented
26	C₂²×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₁₁×D₈	C₂²	1	1	yes	characteristic
28	C₁₁×#563	—	2	1	no	—
29	C₁₁×#560	—	2	1	no	—
30	C₁₁×#555	—	2	1	no	—
31	C₁₁×#553	C₂²	1	2	yes	complemented
32	C₁₁×#552	C₂²	1	2	yes	complemented
33	C₁₁×#551	—	2	1	no	—
34	C₁₁×#548	C₂²	1	2	yes	—
35	C₁₁×#548	C₂²	1	2	yes	complemented
36	C₁₁×#548	C₂²	1	2	yes	complemented
37	C₁₁×#546	—	2	2	no	—
38	C₁₁×#546	—	2	2	no	—
39	C₁₁×#546	C₂²	1	2	yes	—
40	C₁₁×#546	C₂²	1	2	yes	complemented
41	C₁₁×#546	C₂²	1	2	yes	complemented
42	C₁₁×#540	—	2	2	no	—
43	C₁₁×#538	—	2	2	no	—
44	C₁₁×#537	C₂²	1	2	yes	complemented
45	C₁₁×#536	—	2	1	no	—
46	C₁₁×#536	C₂²	1	1	yes	characteristic
47	C₁₁×#536	C₂²	1	1	yes	characteristic
48	C₁₁×#535	—	2	1	no	—
49	C₁₁×#535	C₂²	1	1	yes	characteristic
50	C₁₁×#535	C₂²	1	1	yes	characteristic, complemented
51	C₁₁×#532	—	2	1	no	—
52	C₁₁×#532	C₂²	1	1	yes	characteristic
53	C₁₁×#529	C₂²	1	2	yes	complemented
54	C₂×C₁₁×#124	—	2	1	no	—
55	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic, complemented
56	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic, complemented
57	C₁₁×#495	C₂²	1	2	yes	complemented
58	C₁₁×#495	C₂²	1	2	yes	complemented
59	C₁₁×#488	C₂²	1	2	yes	complemented
60	C₁₁×#488	C₂²	1	2	yes	complemented
61	C₁₁×#485	C₂²	1	2	yes	complemented
62	C₁₁×#485	C₂²	1	2	yes	complemented
63	C₁₁×#485	C₂²	1	2	yes	complemented
64	C₁₁×#482	C₂²	1	2	yes	complemented
65	C₁₁×#481	C₂²	1	2	yes	complemented
66	C₁₁×#480	C₂²	1	2	yes	complemented
67	C₁₁×#479	C₂²	1	2	yes	complemented
68	C₁₁×#478	C₂²	1	2	yes	complemented
69	C₁₁×#470	C₂²	1	2	yes	complemented
70	C₁₁×#469	C₂²	1	2	yes	complemented
71	C₁₁×#468	C₂²	1	2	yes	complemented
72	C₁₁×#468	C₂²	1	2	yes	complemented
73	C₁₁×#467	C₂²	1	2	yes	complemented
74	C₁₁×#466	C₂²	1	2	yes	complemented
75	C₁₁×#465	C₂²	1	2	yes	complemented
76	C₁₁×#465	C₂²	1	2	yes	complemented
77	C₁₁×#464	C₂²	1	2	yes	complemented
78	C₁₁×#464	C₂²	1	2	yes	complemented
79	C₁₁×#464	C₂²	1	2	yes	complemented
80	C₁₁×#463	C₂²	1	2	yes	complemented
81	C₁₁×#463	C₂²	1	2	yes	complemented
82	C₁₁×#463	C₂²	1	2	yes	complemented
83	C₁₁×#452	C₂²	1	2	yes	—
84	C₁₁×#452	C₂²	1	2	yes	complemented
85	C₁₁×#452	C₂²	1	2	yes	complemented
86	C₁₁×#451	C₂²	1	2	yes	complemented
87	C₁₁×#451	C₂²	1	2	yes	complemented
88	C₁₁×#451	C₂²	1	2	yes	complemented
89	C₁₁×#450	C₂²	1	2	yes	—
90	C₁₁×#450	C₂²	1	2	yes	complemented
91	C₁₁×#450	C₂²	1	2	yes	complemented
92	C₁₁×#449	C₂²	1	2	yes	—
93	C₁₁×#449	C₂²	1	2	yes	—
94	C₁₁×#449	C₂²	1	2	yes	complemented
95	C₁₁×#449	C₂²	1	2	yes	complemented
96	C₁₁×#449	C₂²	1	2	yes	complemented
97	C₁₁×#448	C₂²	1	2	yes	complemented
98	C₁₁×#448	C₂²	1	2	yes	complemented
99	C₁₁×#447	C₂²	1	2	yes	—
100	C₁₁×#447	C₂²	1	2	yes	—
101	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	complemented
102	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
103	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
104	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
105	C₁₁×#436	C₂²	1	2	yes	complemented
106	C₁₁×#436	C₂²	1	2	yes	complemented
107	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
108	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
109	C₁₁×#431	C₂²	1	2	yes	complemented
110	C₁₁×#418	C₂²	1	1	yes	characteristic
111	C₁₁×#418	C₂²	1	1	yes	characteristic, complemented
112	C₁₁×#417	C₂²	1	2	yes	complemented
113	C₁₁×#416	C₂²	1	1	yes	characteristic
114	C₁₁×#416	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₁₁×#103	C₂²	1	2	yes	complemented
116	C₁₁×#408	C₂²	1	1	yes	characteristic
117	C₁₁×#408	C₂²	1	1	yes	characteristic
118	C₁₁×#408	C₂²	1	2	yes	complemented
119	C₁₁×2₋¹⁺⁴	—	4	2	no	—
120	C₁₁×2₋¹⁺⁴	—	4	2	no	—
121	C₁₁×H(5,𝔽₂)	—	4	2	no	—
122	C₁₁×H(5,𝔽₂)	—	4	2	no	—
123	C₂×C₁₁×#41	—	2	1	no	—
124	C₂×C₁₁×#41	—	2	1	no	—
125	C₂×C₁₁×#41	—	2	2	no	—
126	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
127	C₂×C₁₁×#41	C₂³	1	2	yes	—
128	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
129	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
130	C₂×C₁₁×#41	C₂³	1	2	yes	—
131	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
132	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
133	C₂²×Q₈×C₁₁	—	2	1	no	—
134	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
135	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
136	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₁₁	—	2	1	no	—
138	C₂²×D₄×C₁₁	—	2	1	no	—
139	C₂²×D₄×C₁₁	—	2	1	no	—
140	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
141	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
142	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
144	C₁₁×#137	—	4	4	no	—
145	C₁₁×#137	—	4	2	no	—
146	C₁₁×AGL(1,ℤ/8)	—	4	2	no	—
147	C₁₁×#135	—	4	4	no	—
148	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
151	C₂×C₁₁×SD₁₆	—	4	2	no	—
152	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₁₁×D₈	—	4	2	no	—
159	C₂×C₁₁×D₈	C₂³	1	2	yes	—
160	C₂×C₁₁×D₈	C₂³	1	2	yes	—
161	C₂×C₁₁×D₈	C₂³	1	2	yes	—
162	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
163	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
164	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
165	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
166	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
167	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
168	C₁₁×C₄⋊Q₈	—	2	1	no	—
169	C₁₁×C₄⋊Q₈	—	2	1	no	—
170	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
171	C₁₁×#127	—	2	1	no	—
172	C₁₁×#127	—	2	1	no	—
173	C₁₁×#127	D₄	1	1	yes	characteristic
174	C₁₁×#126	—	2	2	no	—
175	C₁₁×#126	—	2	2	no	—
176	C₁₁×#126	—	2	2	no	—
177	C₁₁×#125	—	2	2	no	—
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	1	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	—	2	1	no	—
188	C₁₁×#124	D₄	1	1	yes	characteristic
189	C₁₁×#124	D₄	1	1	yes	characteristic
190	C₁₁×#124	C₂³	1	2	yes	—
191	C₁₁×#124	C₂³	1	2	yes	—
192	C₁₁×#124	C₂³	1	2	yes	—
193	C₁₁×#123	—	2	1	no	—
194	C₁₁×#123	—	2	1	no	—
195	C₁₁×#123	—	2	1	no	—
196	C₁₁×#123	—	2	1	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×#123	—	2	2	no	—
203	C₁₁×C₂²⋊Q₈	—	2	2	no	—
204	C₁₁×C₂²⋊Q₈	—	2	2	no	—
205	C₁₁×C₂²⋊Q₈	—	2	2	no	—
206	C₁₁×C₂²⋊Q₈	—	2	2	no	—
207	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
208	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
209	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
210	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
211	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
212	C₁₁×#121	—	2	2	no	—
213	C₁₁×#121	—	2	2	no	—
214	C₁₁×#121	—	2	2	no	—
215	C₁₁×#121	—	2	2	no	—
216	C₁₁×#121	—	2	2	no	—
217	C₁₁×#121	—	2	2	no	—
218	C₁₁×#121	—	2	2	no	—
219	C₁₁×#121	—	2	2	no	—
220	C₁₁×#121	—	2	2	no	—
221	C₁₁×#121	—	2	2	no	—
222	C₁₁×#121	D₄	1	2	yes	—
223	C₁₁×#121	D₄	1	2	yes	—
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×#121	C₂³	1	2	yes	—
229	C₁₁×#120	—	2	2	no	—
230	C₁₁×#120	—	2	2	no	—
231	C₁₁×#120	—	2	1	no	—
232	C₁₁×#120	—	2	1	no	—
233	C₁₁×#120	—	2	2	no	—
234	C₁₁×#120	—	2	2	no	—
235	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
237	C₄×D₄×C₁₁	—	2	2	no	—
238	C₄×D₄×C₁₁	—	2	2	no	—
239	C₄×D₄×C₁₁	—	2	2	no	—
240	C₄×D₄×C₁₁	—	2	2	no	—
241	C₄×D₄×C₁₁	—	2	2	no	—
242	C₄×D₄×C₁₁	—	2	2	no	—
243	C₄×D₄×C₁₁	C₂³	1	2	yes	—
244	C₄×D₄×C₁₁	C₂³	1	2	yes	—
245	C₄×D₄×C₁₁	C₂³	1	2	yes	—
246	C₄×D₄×C₁₁	C₂³	1	2	yes	—
247	C₁₁×#117	—	2	2	no	—
248	C₁₁×#117	—	2	1	no	—
249	C₁₁×#117	—	2	2	no	—
250	C₁₁×#117	C₂³	1	1	yes	characteristic
251	C₁₁×#117	C₂³	1	1	yes	characteristic
252	C₁₁×#117	C₂³	1	1	yes	characteristic
253	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
254	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
255	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
256	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
257	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
258	C₂×C₄²×C₁₁	—	2	1	no	—
259	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
260	C₁₁×#107	C₂³	1	2	yes	—
261	C₁₁×#107	C₂³	1	2	yes	—
262	C₁₁×#106	C₂³	1	2	yes	—
263	C₁₁×#106	C₂³	1	2	yes	—
264	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
265	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
266	C₁₁×#103	C₂³	1	2	yes	—
267	C₁₁×#103	C₂³	1	2	yes	—
268	C₁₁×#103	C₂³	1	2	yes	—
269	C₁₁×#103	C₂³	1	2	yes	—
270	C₁₁×#103	C₂³	1	2	yes	—
271	C₁₁×#103	C₂³	1	2	yes	—
272	C₁₁×#103	C₂³	1	2	yes	—
273	C₁₁×#103	C₂³	1	2	yes	—
274	C₁₁×#102	C₂³	1	2	yes	—
275	C₁₁×#102	C₂³	1	2	yes	—
276	C₁₁×#102	C₂³	1	2	yes	—
277	C₁₁×#102	C₂³	1	2	yes	—
278	C₁₁×#102	C₂³	1	2	yes	—
279	C₁₁×#102	C₂³	1	2	yes	—
280	C₁₁×#102	C₂³	1	2	yes	—
281	C₁₁×#102	C₂³	1	2	yes	—
282	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
283	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
284	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
285	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
286	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
287	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
288	C₄×C₈×C₁₁	C₂³	1	2	yes	—
289	C₄×C₈×C₁₁	C₂³	1	2	yes	—
290	#61663	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
291	C₂⁴×C₁₁	—	2	1	no	—
292	C₂⁴×C₁₁	—	2	1	no	—
293	C₂⁴×C₁₁	—	2	1	no	—
294	C₂⁴×C₁₁	—	2	1	no	—
295	C₁₁×#41	—	2	2	no	—
296	C₁₁×#41	—	2	2	no	—
297	C₁₁×#41	—	2	2	no	—
298	C₁₁×#41	—	2	2	no	—
299	C₁₁×#41	—	2	4	no	—
300	C₁₁×#41	—	4	1	no	—
301	C₁₁×#41	—	4	1	no	—
302	C₁₁×#41	—	4	1	no	—
303	C₁₁×#41	—	4	1	no	—
304	C₁₁×#41	—	4	1	no	—
305	C₁₁×#41	—	4	1	no	—
306	C₁₁×#41	—	4	2	no	—
307	C₁₁×#41	—	4	4	no	—
308	C₁₁×#41	—	4	4	no	—
309	C₁₁×#41	—	4	2	no	—
310	C₁₁×#41	—	4	2	no	—
311	C₁₁×#41	—	4	8	no	—
312	C₂×Q₈×C₁₁	—	2	2	no	—
313	C₂×Q₈×C₁₁	—	2	1	no	—
314	C₂×Q₈×C₁₁	—	2	1	no	—
315	C₂×Q₈×C₁₁	—	2	4	no	—
316	C₂×Q₈×C₁₁	—	4	2	no	—
317	C₂×Q₈×C₁₁	—	4	1	no	—
318	C₂×Q₈×C₁₁	—	4	1	no	—
319	C₂×Q₈×C₁₁	—	4	4	no	—
320	C₂×Q₈×C₁₁	—	4	1	no	—
321	C₂×Q₈×C₁₁	—	4	1	no	—
322	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
323	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
324	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
325	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
326	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
327	C₂×D₄×C₁₁	—	2	1	no	—
328	C₂×D₄×C₁₁	—	2	2	no	—
329	C₂×D₄×C₁₁	—	2	2	no	—
330	C₂×D₄×C₁₁	—	2	2	no	—
331	C₂×D₄×C₁₁	—	2	1	no	—
332	C₂×D₄×C₁₁	—	2	1	no	—
333	C₂×D₄×C₁₁	—	2	2	no	—
334	C₂×D₄×C₁₁	—	2	2	no	—
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	2	no	—
339	C₂×D₄×C₁₁	—	2	1	no	—
340	C₂×D₄×C₁₁	—	2	1	no	—
341	C₂×D₄×C₁₁	—	2	1	no	—
342	C₂×D₄×C₁₁	—	2	1	no	—
343	C₂×D₄×C₁₁	—	4	1	no	—
344	C₂×D₄×C₁₁	—	4	1	no	—
345	C₂×D₄×C₁₁	—	4	1	no	—
346	C₂×D₄×C₁₁	—	4	1	no	—
347	C₂×D₄×C₁₁	—	4	1	no	—
348	C₂×D₄×C₁₁	—	4	1	no	—
349	C₂×D₄×C₁₁	—	4	4	no	—
350	C₂×D₄×C₁₁	—	4	4	no	—
351	C₂×D₄×C₁₁	—	4	4	no	—
352	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
353	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
354	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
355	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
356	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
357	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
358	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
359	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
360	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
361	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
362	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₁₁	—	2	1	no	—
364	C₂²×C₄×C₁₁	—	2	1	no	—
365	C₂²×C₄×C₁₁	—	2	2	no	—
366	C₂²×C₄×C₁₁	—	2	2	no	—
367	C₂²×C₄×C₁₁	—	2	1	no	—
368	C₂²×C₄×C₁₁	—	2	2	no	—
369	C₂²×C₄×C₁₁	—	2	1	no	—
370	C₂²×C₄×C₁₁	—	2	1	no	—
371	C₂²×C₄×C₁₁	—	2	2	no	—
372	C₂²×C₄×C₁₁	—	2	2	no	—
373	C₂²×C₄×C₁₁	—	2	2	no	—
374	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
375	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
377	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
379	C₁₁×Q₁₆	—	2	4	no	—
380	C₁₁×Q₁₆	—	4	2	no	—
381	C₁₁×Q₁₆	—	4	2	no	—
382	C₁₁×SD₁₆	—	2	4	no	—
383	C₁₁×SD₁₆	—	2	4	no	—
384	C₁₁×SD₁₆	—	4	2	no	—
385	C₁₁×SD₁₆	—	4	2	no	—
386	C₁₁×SD₁₆	—	4	2	no	—
387	C₁₁×SD₁₆	—	4	2	no	—
388	C₁₁×D₈	—	2	4	no	—
389	C₁₁×D₈	—	4	2	no	—
390	C₁₁×D₈	—	4	2	no	—
391	C₁₁×M₁₆	—	4	1	no	—
392	C₁₁×M₁₆	—	4	1	no	—
393	C₁₁×M₁₆	—	4	2	no	—
394	C₂×C₈×C₁₁	—	4	1	no	—
395	C₂×C₈×C₁₁	—	4	1	no	—
396	C₂×C₈×C₁₁	—	4	2	no	—
397	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
398	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
399	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
400	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
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	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	C₂×D₄	1	2	yes	—
412	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
413	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
414	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
415	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
416	C₁₁×C₂²⋊C₄	—	2	2	no	—
417	C₁₁×C₂²⋊C₄	—	2	2	no	—
418	C₁₁×C₂²⋊C₄	—	2	2	no	—
419	C₁₁×C₂²⋊C₄	—	2	2	no	—
420	C₁₁×C₂²⋊C₄	—	2	1	no	—
421	C₁₁×C₂²⋊C₄	—	2	1	no	—
422	C₁₁×C₂²⋊C₄	—	2	1	no	—
423	C₁₁×C₂²⋊C₄	—	2	2	no	—
424	C₁₁×C₂²⋊C₄	—	2	2	no	—
425	C₁₁×C₂²⋊C₄	—	2	2	no	—
426	C₁₁×C₂²⋊C₄	—	2	2	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	C₂×D₄	1	2	yes	—
438	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
439	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
440	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₄²×C₁₁	—	2	1	no	—
442	C₄²×C₁₁	—	2	2	no	—
443	C₄²×C₁₁	—	2	1	no	—
444	C₄²×C₁₁	—	2	2	no	—
445	C₄²×C₁₁	—	2	1	no	—
446	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
447	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
448	C₄²×C₁₁	C₂⁴	1	2	yes	—
449	#3551	C₂×C₁₁	1	1	yes	characteristic, complemented
450	#3500	C₂×C₁₁	1	1	yes	characteristic, complemented
451	#3323	C₂×C₁₁	1	2	yes	complemented
452	#3322	C₂×C₁₁	1	2	yes	complemented
453	#3301	C₂×C₁₁	1	2	yes	complemented
454	#3300	C₂×C₁₁	1	2	yes	complemented
455	#3282	C₂×C₁₁	1	2	yes	complemented
456	#3280	C₂×C₁₁	1	2	yes	complemented
457	#3277	C₂×C₁₁	1	2	yes	complemented
458	#3275	C₂×C₁₁	1	2	yes	complemented
459	#3211	C₂×C₁₁	1	2	yes	complemented
460	#3202	C₂×C₁₁	1	1	yes	characteristic, complemented
461	#3200	C₂×C₁₁	1	1	yes	characteristic, complemented
462	#3198	C₂×C₁₁	1	2	yes	complemented
463	#3102	C₂×C₁₁	1	2	yes	complemented
464	#3013	C₂×C₁₁	1	2	yes	complemented
465	#3009	C₂×C₁₁	1	1	yes	characteristic, complemented
466	#3008	C₂×C₁₁	1	1	yes	characteristic, complemented
467	#2979	C₂×C₁₁	1	1	yes	characteristic, complemented
468	C₂³×C₁₁	—	2	1	no	—
469	C₂³×C₁₁	—	2	2	no	—
470	C₂³×C₁₁	—	2	1	no	—
471	C₂³×C₁₁	—	2	1	no	—
472	C₂³×C₁₁	—	4	2	no	—
473	C₂³×C₁₁	—	4	2	no	—
474	C₂³×C₁₁	—	4	2	no	—
475	C₂³×C₁₁	—	8	1	no	—
476	C₂³×C₁₁	—	8	2	no	—
477	C₂³×C₁₁	—	8	2	no	—
478	C₂³×C₁₁	—	8	2	no	—
479	C₂³×C₁₁	—	8	2	no	—
480	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
481	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
482	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
483	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
484	Q₈×C₁₁	—	2	1	no	—
485	Q₈×C₁₁	—	2	2	no	—
486	Q₈×C₁₁	—	2	2	no	—
487	Q₈×C₁₁	—	2	2	no	—
488	Q₈×C₁₁	—	2	2	no	—
489	Q₈×C₁₁	—	4	1	no	—
490	Q₈×C₁₁	—	4	1	no	—
491	Q₈×C₁₁	—	4	4	no	—
492	Q₈×C₁₁	—	4	2	no	—
493	Q₈×C₁₁	—	8	1	no	—
494	Q₈×C₁₁	H(5,𝔽₂)	1	2	yes	—
495	D₄×C₁₁	—	2	4	no	—
496	D₄×C₁₁	—	2	1	no	—
497	D₄×C₁₁	—	2	2	no	—
498	D₄×C₁₁	—	2	1	no	—
499	D₄×C₁₁	—	2	1	no	—
500	D₄×C₁₁	—	2	2	no	—
501	D₄×C₁₁	—	2	1	no	—
502	D₄×C₁₁	—	2	1	no	—
503	D₄×C₁₁	—	4	1	no	—
504	D₄×C₁₁	—	4	1	no	—
505	D₄×C₁₁	—	4	1	no	—
506	D₄×C₁₁	—	4	2	no	—
507	D₄×C₁₁	—	4	2	no	—
508	D₄×C₁₁	—	4	1	no	—
509	D₄×C₁₁	—	4	2	no	—
510	D₄×C₁₁	—	4	2	no	—
511	D₄×C₁₁	—	4	2	no	—
512	D₄×C₁₁	—	4	2	no	—
513	D₄×C₁₁	—	4	2	no	—
514	D₄×C₁₁	—	4	2	no	—
515	D₄×C₁₁	—	4	4	no	—
516	D₄×C₁₁	—	8	1	no	—
517	D₄×C₁₁	—	8	2	no	—
518	D₄×C₁₁	—	8	2	no	—
519	D₄×C₁₁	—	8	2	no	—
520	D₄×C₁₁	—	8	2	no	—
521	D₄×C₁₁	—	8	2	no	—
522	D₄×C₁₁	—	8	2	no	—
523	D₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
524	C₂×C₄×C₁₁	—	2	4	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	2	no	—
529	C₂×C₄×C₁₁	—	2	1	no	—
530	C₂×C₄×C₁₁	—	2	1	no	—
531	C₂×C₄×C₁₁	—	2	2	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	—	2	2	no	—
536	C₂×C₄×C₁₁	—	2	2	no	—
537	C₂×C₄×C₁₁	—	2	2	no	—
538	C₂×C₄×C₁₁	—	2	2	no	—
539	C₂×C₄×C₁₁	—	4	2	no	—
540	C₂×C₄×C₁₁	—	4	2	no	—
541	C₂×C₄×C₁₁	—	4	2	no	—
542	C₂×C₄×C₁₁	—	4	4	no	—
543	C₂×C₄×C₁₁	—	4	4	no	—
544	C₂×C₄×C₁₁	—	4	2	no	—
545	C₂×C₄×C₁₁	—	8	2	no	—
546	C₂×C₄×C₁₁	—	8	2	no	—
547	C₂×C₄×C₁₁	—	8	2	no	—
548	C₂×C₄×C₁₁	—	8	2	no	—
549	C₂×C₄×C₁₁	—	8	1	no	—
550	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
551	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
553	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
554	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
555	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
556	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
557	C₈×C₁₁	—	2	2	no	—
558	C₈×C₁₁	—	2	2	no	—
559	C₈×C₁₁	—	2	2	no	—
560	C₈×C₁₁	—	2	2	no	—
561	C₂×2₋¹⁺⁴	C₂²×C₁₁	1	1	yes	characteristic, complemented
562	C₂×H(5,𝔽₂)	C₂²×C₁₁	1	1	yes	characteristic
563	C₂×#137	C₂²×C₁₁	1	1	yes	characteristic, complemented
564	C₂×#137	C₂²×C₁₁	1	2	yes	complemented
565	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	1	yes	characteristic
566	C₂×#135	C₂²×C₁₁	1	2	yes	complemented
567	C₂²×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
568	C₂²×D₈	C₂²×C₁₁	1	1	yes	characteristic
569	#563	—	2	1	no	—
570	#560	—	2	1	no	—
571	#555	—	2	1	no	—
572	#553	C₂²×C₁₁	1	2	yes	complemented
573	#552	C₂²×C₁₁	1	2	yes	complemented
574	#551	—	2	1	no	—
575	#548	C₂²×C₁₁	1	2	yes	—
576	#548	C₂²×C₁₁	1	2	yes	complemented
577	#548	C₂²×C₁₁	1	2	yes	complemented
578	#546	—	2	2	no	—
579	#546	—	2	2	no	—
580	#546	C₂²×C₁₁	1	2	yes	—
581	#546	C₂²×C₁₁	1	2	yes	complemented
582	#546	C₂²×C₁₁	1	2	yes	complemented
583	#540	—	2	2	no	—
584	#538	—	2	2	no	—
585	#537	C₂²×C₁₁	1	2	yes	complemented
586	#536	—	2	1	no	—
587	#536	C₂²×C₁₁	1	1	yes	characteristic
588	#536	C₂²×C₁₁	1	1	yes	characteristic
589	#535	—	2	1	no	—
590	#535	C₂²×C₁₁	1	1	yes	characteristic
591	#535	C₂²×C₁₁	1	1	yes	characteristic, complemented
592	#532	—	2	1	no	—
593	#532	C₂²×C₁₁	1	1	yes	characteristic
594	#529	C₂²×C₁₁	1	2	yes	complemented
595	C₂×#124	—	2	1	no	—
596	C₂×#124	C₂²×C₁₁	1	1	yes	characteristic, complemented
597	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic, complemented
598	#495	C₂²×C₁₁	1	2	yes	complemented
599	#495	C₂²×C₁₁	1	2	yes	complemented
600	#488	C₂²×C₁₁	1	2	yes	complemented
601	#488	C₂²×C₁₁	1	2	yes	complemented
602	#485	C₂²×C₁₁	1	2	yes	complemented
603	#485	C₂²×C₁₁	1	2	yes	complemented
604	#485	C₂²×C₁₁	1	2	yes	complemented
605	#482	C₂²×C₁₁	1	2	yes	complemented
606	#481	C₂²×C₁₁	1	2	yes	complemented
607	#480	C₂²×C₁₁	1	2	yes	complemented
608	#479	C₂²×C₁₁	1	2	yes	complemented
609	#478	C₂²×C₁₁	1	2	yes	complemented
610	#470	C₂²×C₁₁	1	2	yes	complemented
611	#469	C₂²×C₁₁	1	2	yes	complemented
612	#468	C₂²×C₁₁	1	2	yes	complemented
613	#468	C₂²×C₁₁	1	2	yes	complemented
614	#467	C₂²×C₁₁	1	2	yes	complemented
615	#466	C₂²×C₁₁	1	2	yes	complemented
616	#465	C₂²×C₁₁	1	2	yes	complemented
617	#465	C₂²×C₁₁	1	2	yes	complemented
618	#464	C₂²×C₁₁	1	2	yes	complemented
619	#464	C₂²×C₁₁	1	2	yes	complemented
620	#464	C₂²×C₁₁	1	2	yes	complemented
621	#463	C₂²×C₁₁	1	2	yes	complemented
622	#463	C₂²×C₁₁	1	2	yes	complemented
623	#463	C₂²×C₁₁	1	2	yes	complemented
624	#452	C₂²×C₁₁	1	2	yes	—
625	#452	C₂²×C₁₁	1	2	yes	complemented
626	#452	C₂²×C₁₁	1	2	yes	complemented
627	#451	C₂²×C₁₁	1	2	yes	complemented
628	#451	C₂²×C₁₁	1	2	yes	complemented
629	#451	C₂²×C₁₁	1	2	yes	complemented
630	#450	C₂²×C₁₁	1	2	yes	—
631	#450	C₂²×C₁₁	1	2	yes	complemented
632	#450	C₂²×C₁₁	1	2	yes	complemented
633	#449	C₂²×C₁₁	1	2	yes	—
634	#449	C₂²×C₁₁	1	2	yes	—
635	#449	C₂²×C₁₁	1	2	yes	complemented
636	#449	C₂²×C₁₁	1	2	yes	complemented
637	#449	C₂²×C₁₁	1	2	yes	complemented
638	#448	C₂²×C₁₁	1	2	yes	complemented
639	#448	C₂²×C₁₁	1	2	yes	complemented
640	#447	C₂²×C₁₁	1	2	yes	—
641	#447	C₂²×C₁₁	1	2	yes	—
642	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	complemented
643	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
644	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
645	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
646	#436	C₂²×C₁₁	1	2	yes	complemented
647	#436	C₂²×C₁₁	1	2	yes	complemented
648	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
649	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
650	#431	C₂²×C₁₁	1	2	yes	complemented
651	#418	C₂²×C₁₁	1	1	yes	characteristic
652	#418	C₂²×C₁₁	1	1	yes	characteristic, complemented
653	#417	C₂²×C₁₁	1	2	yes	complemented
654	#416	C₂²×C₁₁	1	1	yes	characteristic
655	#416	C₂²×C₁₁	1	1	yes	characteristic, complemented
656	C₂×#103	C₂²×C₁₁	1	2	yes	complemented
657	#408	C₂²×C₁₁	1	1	yes	characteristic
658	#408	C₂²×C₁₁	1	1	yes	characteristic
659	#408	C₂²×C₁₁	1	2	yes	complemented
660	C₂²×C₁₁	—	2	2	no	—
661	C₂²×C₁₁	—	2	2	no	—
662	C₂²×C₁₁	—	2	2	no	—
663	C₂²×C₁₁	—	2	2	no	—
664	C₂²×C₁₁	—	2	2	no	—
665	C₂²×C₁₁	—	2	1	no	—
666	C₂²×C₁₁	—	2	2	no	—
667	C₂²×C₁₁	—	2	2	no	—
668	C₂²×C₁₁	—	2	1	no	—
669	C₂²×C₁₁	—	2	1	no	—
670	C₂²×C₁₁	—	4	2	no	—
671	C₂²×C₁₁	—	4	2	no	—
672	C₂²×C₁₁	—	4	2	no	—
673	C₂²×C₁₁	—	4	2	no	—
674	C₂²×C₁₁	—	4	2	no	—
675	C₂²×C₁₁	—	4	1	no	—
676	C₂²×C₁₁	—	4	1	no	—
677	C₂²×C₁₁	—	4	2	no	—
678	C₂²×C₁₁	—	16	2	no	—
679	C₂²×C₁₁	—	16	2	no	—
680	C₂²×C₁₁	—	16	2	no	—
681	C₂²×C₁₁	—	16	2	no	—
682	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
683	C₄×C₁₁	—	2	2	no	—
684	C₄×C₁₁	—	2	2	no	—
685	C₄×C₁₁	—	2	1	no	—
686	C₄×C₁₁	—	2	2	no	—
687	C₄×C₁₁	—	2	2	no	—
688	C₄×C₁₁	—	2	1	no	—
689	C₄×C₁₁	—	2	1	no	—
690	C₄×C₁₁	—	4	2	no	—
691	C₄×C₁₁	—	4	2	no	—
692	C₄×C₁₁	—	4	2	no	—
693	C₄×C₁₁	—	4	2	no	—
694	C₄×C₁₁	—	4	2	no	—
695	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
696	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
697	2₋¹⁺⁴	—	4	2	no	—
698	2₋¹⁺⁴	—	4	2	no	—
699	H(5,𝔽₂)	—	4	2	no	—
700	H(5,𝔽₂)	—	4	2	no	—
701	C₂×#41	—	2	1	no	—
702	C₂×#41	—	2	1	no	—
703	C₂×#41	—	2	2	no	—
704	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
705	C₂×#41	C₂³×C₁₁	1	2	yes	—
706	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
707	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
708	C₂×#41	C₂³×C₁₁	1	2	yes	—
709	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
710	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
711	C₂²×Q₈	—	2	1	no	—
712	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
713	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
714	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
715	C₂²×D₄	—	2	1	no	—
716	C₂²×D₄	—	2	1	no	—
717	C₂²×D₄	—	2	1	no	—
718	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
719	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
720	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
721	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
722	#137	—	4	4	no	—
723	#137	—	4	2	no	—
724	AGL(1,ℤ/8)	—	4	2	no	—
725	#135	—	4	4	no	—
726	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
727	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
728	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
729	C₂×SD₁₆	—	4	2	no	—
730	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
731	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
732	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
733	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
734	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
735	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
736	C₂×D₈	—	4	2	no	—
737	C₂×D₈	C₂³×C₁₁	1	2	yes	—
738	C₂×D₈	C₂³×C₁₁	1	2	yes	—
739	C₂×D₈	C₂³×C₁₁	1	2	yes	—
740	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
741	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
742	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
743	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
744	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
745	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
746	C₄⋊Q₈	—	2	1	no	—
747	C₄⋊Q₈	—	2	1	no	—
748	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
749	#127	—	2	1	no	—
750	#127	—	2	1	no	—
751	#127	D₄×C₁₁	1	1	yes	characteristic
752	#126	—	2	2	no	—
753	#126	—	2	2	no	—
754	#126	—	2	2	no	—
755	#125	—	2	2	no	—
756	#125	C₂³×C₁₁	1	2	yes	—
757	#124	—	2	1	no	—
758	#124	—	2	1	no	—
759	#124	—	2	1	no	—
760	#124	—	2	1	no	—
761	#124	—	2	2	no	—
762	#124	—	2	2	no	—
763	#124	—	2	2	no	—
764	#124	—	2	1	no	—
765	#124	—	2	1	no	—
766	#124	D₄×C₁₁	1	1	yes	characteristic
767	#124	D₄×C₁₁	1	1	yes	characteristic
768	#124	C₂³×C₁₁	1	2	yes	—
769	#124	C₂³×C₁₁	1	2	yes	—
770	#124	C₂³×C₁₁	1	2	yes	—
771	#123	—	2	1	no	—
772	#123	—	2	1	no	—
773	#123	—	2	1	no	—
774	#123	—	2	1	no	—
775	#123	—	2	2	no	—
776	#123	—	2	2	no	—
777	#123	—	2	2	no	—
778	#123	—	2	2	no	—
779	#123	—	2	2	no	—
780	#123	—	2	2	no	—
781	C₂²⋊Q₈	—	2	2	no	—
782	C₂²⋊Q₈	—	2	2	no	—
783	C₂²⋊Q₈	—	2	2	no	—
784	C₂²⋊Q₈	—	2	2	no	—
785	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
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	2	no	—
793	#121	—	2	2	no	—
794	#121	—	2	2	no	—
795	#121	—	2	2	no	—
796	#121	—	2	2	no	—
797	#121	—	2	2	no	—
798	#121	—	2	2	no	—
799	#121	—	2	2	no	—
800	#121	D₄×C₁₁	1	2	yes	—
801	#121	D₄×C₁₁	1	2	yes	—
802	#121	C₂³×C₁₁	1	2	yes	—
803	#121	C₂³×C₁₁	1	2	yes	—
804	#121	C₂³×C₁₁	1	2	yes	—
805	#121	C₂³×C₁₁	1	2	yes	—
806	#121	C₂³×C₁₁	1	2	yes	—
807	#120	—	2	2	no	—
808	#120	—	2	2	no	—
809	#120	—	2	1	no	—
810	#120	—	2	1	no	—
811	#120	—	2	2	no	—
812	#120	—	2	2	no	—
813	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
814	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
815	C₄×D₄	—	2	2	no	—
816	C₄×D₄	—	2	2	no	—
817	C₄×D₄	—	2	2	no	—
818	C₄×D₄	—	2	2	no	—
819	C₄×D₄	—	2	2	no	—
820	C₄×D₄	—	2	2	no	—
821	C₄×D₄	C₂³×C₁₁	1	2	yes	—
822	C₄×D₄	C₂³×C₁₁	1	2	yes	—
823	C₄×D₄	C₂³×C₁₁	1	2	yes	—
824	C₄×D₄	C₂³×C₁₁	1	2	yes	—
825	#117	—	2	2	no	—
826	#117	—	2	1	no	—
827	#117	—	2	2	no	—
828	#117	C₂³×C₁₁	1	1	yes	characteristic
829	#117	C₂³×C₁₁	1	1	yes	characteristic
830	#117	C₂³×C₁₁	1	1	yes	characteristic
831	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
832	C₂×C₂²⋊C₄	—	2	2	no	—
833	C₂×C₂²⋊C₄	—	2	2	no	—
834	C₂×C₂²⋊C₄	—	2	2	no	—
835	C₂×C₂²⋊C₄	—	2	2	no	—
836	C₂×C₄²	—	2	1	no	—
837	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
838	#107	C₂³×C₁₁	1	2	yes	—
839	#107	C₂³×C₁₁	1	2	yes	—
840	#106	C₂³×C₁₁	1	2	yes	—
841	#106	C₂³×C₁₁	1	2	yes	—
842	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
843	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
844	#103	C₂³×C₁₁	1	2	yes	—
845	#103	C₂³×C₁₁	1	2	yes	—
846	#103	C₂³×C₁₁	1	2	yes	—
847	#103	C₂³×C₁₁	1	2	yes	—
848	#103	C₂³×C₁₁	1	2	yes	—
849	#103	C₂³×C₁₁	1	2	yes	—
850	#103	C₂³×C₁₁	1	2	yes	—
851	#103	C₂³×C₁₁	1	2	yes	—
852	#102	C₂³×C₁₁	1	2	yes	—
853	#102	C₂³×C₁₁	1	2	yes	—
854	#102	C₂³×C₁₁	1	2	yes	—
855	#102	C₂³×C₁₁	1	2	yes	—
856	#102	C₂³×C₁₁	1	2	yes	—
857	#102	C₂³×C₁₁	1	2	yes	—
858	#102	C₂³×C₁₁	1	2	yes	—
859	#102	C₂³×C₁₁	1	2	yes	—
860	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
861	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
862	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
863	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
864	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
865	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
866	C₄×C₈	C₂³×C₁₁	1	2	yes	—
867	C₄×C₈	C₂³×C₁₁	1	2	yes	—
868	C₂×C₁₁	—	4	2	no	—
869	C₂×C₁₁	—	4	1	no	—
870	C₂×C₁₁	—	4	1	no	—
871	C₂×C₁₁	—	4	1	no	—
872	C₂×C₁₁	—	4	2	no	—
873	C₂×C₁₁	—	8	2	no	—
874	C₂×C₁₁	—	8	1	no	—
875	C₂×C₁₁	—	8	1	no	—
876	C₂×C₁₁	#3484	1	1	yes	characteristic
877	C₂×C₁₁	#3584	1	2	yes	—
878	C₂⁴	—	2	1	no	—
879	C₂⁴	—	2	1	no	—
880	C₂⁴	—	2	1	no	—
881	C₂⁴	—	2	1	no	—
882	#41	—	2	2	no	—
883	#41	—	2	2	no	—
884	#41	—	2	2	no	—
885	#41	—	2	2	no	—
886	#41	—	2	4	no	—
887	#41	—	4	1	no	—
888	#41	—	4	1	no	—
889	#41	—	4	1	no	—
890	#41	—	4	1	no	—
891	#41	—	4	1	no	—
892	#41	—	4	1	no	—
893	#41	—	4	2	no	—
894	#41	—	4	4	no	—
895	#41	—	4	4	no	—
896	#41	—	4	2	no	—
897	#41	—	4	2	no	—
898	#41	—	4	8	no	—
899	C₂×Q₈	—	2	2	no	—
900	C₂×Q₈	—	2	1	no	—
901	C₂×Q₈	—	2	1	no	—
902	C₂×Q₈	—	2	4	no	—
903	C₂×Q₈	—	4	2	no	—
904	C₂×Q₈	—	4	1	no	—
905	C₂×Q₈	—	4	1	no	—
906	C₂×Q₈	—	4	4	no	—
907	C₂×Q₈	—	4	1	no	—
908	C₂×Q₈	—	4	1	no	—
909	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
910	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
911	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
912	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
913	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
914	C₂×D₄	—	2	1	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	2	no	—
917	C₂×D₄	—	2	2	no	—
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	2	no	—
925	C₂×D₄	—	2	2	no	—
926	C₂×D₄	—	2	1	no	—
927	C₂×D₄	—	2	1	no	—
928	C₂×D₄	—	2	1	no	—
929	C₂×D₄	—	2	1	no	—
930	C₂×D₄	—	4	1	no	—
931	C₂×D₄	—	4	1	no	—
932	C₂×D₄	—	4	1	no	—
933	C₂×D₄	—	4	1	no	—
934	C₂×D₄	—	4	1	no	—
935	C₂×D₄	—	4	1	no	—
936	C₂×D₄	—	4	4	no	—
937	C₂×D₄	—	4	4	no	—
938	C₂×D₄	—	4	4	no	—
939	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
940	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
941	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
942	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
943	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
944	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
945	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
946	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
947	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
948	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
949	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
950	C₂²×C₄	—	2	1	no	—
951	C₂²×C₄	—	2	1	no	—
952	C₂²×C₄	—	2	2	no	—
953	C₂²×C₄	—	2	2	no	—
954	C₂²×C₄	—	2	1	no	—
955	C₂²×C₄	—	2	2	no	—
956	C₂²×C₄	—	2	1	no	—
957	C₂²×C₄	—	2	1	no	—
958	C₂²×C₄	—	2	2	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	2	no	—
961	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
962	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
963	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
964	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
965	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
966	Q₁₆	—	2	4	no	—
967	Q₁₆	—	4	2	no	—
968	Q₁₆	—	4	2	no	—
969	SD₁₆	—	2	4	no	—
970	SD₁₆	—	2	4	no	—
971	SD₁₆	—	4	2	no	—
972	SD₁₆	—	4	2	no	—
973	SD₁₆	—	4	2	no	—
974	SD₁₆	—	4	2	no	—
975	D₈	—	2	4	no	—
976	D₈	—	4	2	no	—
977	D₈	—	4	2	no	—
978	M₁₆	—	4	1	no	—
979	M₁₆	—	4	2	no	—
980	M₁₆	—	4	1	no	—
981	C₂×C₈	—	4	1	no	—
982	C₂×C₈	—	4	1	no	—
983	C₂×C₈	—	4	2	no	—
984	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
985	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
986	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
987	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
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	—	2	2	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
999	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1000	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
1001	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
1002	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	1	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	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	2	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1025	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1026	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1027	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1028	C₄²	—	2	1	no	—
1029	C₄²	—	2	2	no	—
1030	C₄²	—	2	1	no	—
1031	C₄²	—	2	2	no	—
1032	C₄²	—	2	1	no	—
1033	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1034	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1035	C₄²	C₂⁴×C₁₁	1	2	yes	—
1036	C₁₁	#61663	1	1	yes	characteristic, direct product factor, Sylow
1037	C₂³	—	2	1	no	—
1038	C₂³	—	2	2	no	—
1039	C₂³	—	2	1	no	—
1040	C₂³	—	2	1	no	—
1041	C₂³	—	4	2	no	—
1042	C₂³	—	4	2	no	—
1043	C₂³	—	4	2	no	—
1044	C₂³	—	8	1	no	—
1045	C₂³	—	8	2	no	—
1046	C₂³	—	8	2	no	—
1047	C₂³	—	8	2	no	—
1048	C₂³	—	8	2	no	—
1049	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1050	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1051	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1052	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
1053	Q₈	—	2	1	no	—
1054	Q₈	—	2	2	no	—
1055	Q₈	—	2	2	no	—
1056	Q₈	—	2	2	no	—
1057	Q₈	—	2	2	no	—
1058	Q₈	—	4	1	no	—
1059	Q₈	—	4	1	no	—
1060	Q₈	—	4	4	no	—
1061	Q₈	—	4	2	no	—
1062	Q₈	—	8	1	no	—
1063	Q₈	C₁₁×H(5,𝔽₂)	1	2	yes	—
1064	D₄	—	2	4	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	—	2	1	no	—
1072	D₄	—	4	1	no	—
1073	D₄	—	4	1	no	—
1074	D₄	—	4	1	no	—
1075	D₄	—	4	2	no	—
1076	D₄	—	4	2	no	—
1077	D₄	—	4	1	no	—
1078	D₄	—	4	2	no	—
1079	D₄	—	4	2	no	—
1080	D₄	—	4	2	no	—
1081	D₄	—	4	2	no	—
1082	D₄	—	4	2	no	—
1083	D₄	—	4	2	no	—
1084	D₄	—	4	4	no	—
1085	D₄	—	8	1	no	—
1086	D₄	—	8	2	no	—
1087	D₄	—	8	2	no	—
1088	D₄	—	8	2	no	—
1089	D₄	—	8	2	no	—
1090	D₄	—	8	2	no	—
1091	D₄	—	8	2	no	—
1092	D₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
1093	C₂×C₄	—	2	4	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	4	2	no	—
1109	C₂×C₄	—	4	2	no	—
1110	C₂×C₄	—	4	2	no	—
1111	C₂×C₄	—	4	4	no	—
1112	C₂×C₄	—	4	4	no	—
1113	C₂×C₄	—	4	2	no	—
1114	C₂×C₄	—	8	2	no	—
1115	C₂×C₄	—	8	2	no	—
1116	C₂×C₄	—	8	2	no	—
1117	C₂×C₄	—	8	2	no	—
1118	C₂×C₄	—	8	1	no	—
1119	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1120	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1121	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1122	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1123	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1124	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1125	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
1126	C₈	—	2	2	no	—
1127	C₈	—	2	2	no	—
1128	C₈	—	2	2	no	—
1129	C₈	—	2	2	no	—
1130	C₂²	—	2	1	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	2	no	—
1133	C₂²	—	2	1	no	—
1134	C₂²	—	2	1	no	—
1135	C₂²	—	2	2	no	—
1136	C₂²	—	2	2	no	—
1137	C₂²	—	2	2	no	—
1138	C₂²	—	2	2	no	—
1139	C₂²	—	2	2	no	—
1140	C₂²	—	4	2	no	—
1141	C₂²	—	4	1	no	—
1142	C₂²	—	4	1	no	—
1143	C₂²	—	4	2	no	—
1144	C₂²	—	4	2	no	—
1145	C₂²	—	4	2	no	—
1146	C₂²	—	4	2	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	16	2	no	—
1149	C₂²	—	16	2	no	—
1150	C₂²	—	16	2	no	—
1151	C₂²	—	16	2	no	—
1152	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
1153	C₄	—	2	1	no	—
1154	C₄	—	2	2	no	—
1155	C₄	—	2	2	no	—
1156	C₄	—	2	1	no	—
1157	C₄	—	2	1	no	—
1158	C₄	—	2	2	no	—
1159	C₄	—	2	2	no	—
1160	C₄	—	4	2	no	—
1161	C₄	—	4	2	no	—
1162	C₄	—	4	2	no	—
1163	C₄	—	4	2	no	—
1164	C₄	—	4	2	no	—
1165	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1166	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1167	C₂	—	4	1	no	—
1168	C₂	—	4	1	no	—
1169	C₂	—	4	1	no	—
1170	C₂	—	4	2	no	—
1171	C₂	—	4	2	no	—
1172	C₂	—	8	1	no	—
1173	C₂	—	8	1	no	—
1174	C₂	—	8	2	no	—
1175	C₂	C₁₁×#3484	1	1	yes	characteristic
1176	C₂	C₁₁×#3584	1	2	yes	—

	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 ◁ C₁₁×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3551	C₂	semidirect
2. C₁₁×#3500	C₂	semidirect
3. C₁₁×#3323	C₂	semidirect
4. C₁₁×#3322	C₂	semidirect
5. C₁₁×#3301	C₂	semidirect
6. C₁₁×#3300	C₂	semidirect
7. C₁₁×#3282	C₂	semidirect
8. C₁₁×#3280	C₂	semidirect
9. C₁₁×#3277	C₂	semidirect
10. C₁₁×#3275	C₂	semidirect
11. C₁₁×#3211	C₂	semidirect
12. C₁₁×#3202	C₂	semidirect
13. C₁₁×#3200	C₂	semidirect
14. C₁₁×#3198	C₂	semidirect
15. C₁₁×#3102	C₂	semidirect
16. C₁₁×#3013	C₂	semidirect
17. C₁₁×#3009	C₂	semidirect
18. C₁₁×#3008	C₂	semidirect
19. C₁₁×#2979	C₂	semidirect
20. C₂×C₁₁×2₋¹⁺⁴	C₂²	semidirect
22. C₂×C₁₁×#137	C₂²	semidirect
23. C₂×C₁₁×#137	C₂²	semidirect
25. C₂×C₁₁×#135	C₂²	semidirect
26. C₂²×C₁₁×SD₁₆	C₂²	semidirect
31. C₁₁×#553	C₂²	semidirect
32. C₁₁×#552	C₂²	semidirect
35. C₁₁×#548	C₂²	semidirect
36. C₁₁×#548	C₂²	semidirect
40. C₁₁×#546	C₂²	semidirect
41. C₁₁×#546	C₂²	semidirect
44. C₁₁×#537	C₂²	semidirect
50. C₁₁×#535	C₂²	semidirect
53. C₁₁×#529	C₂²	semidirect
55. C₂×C₁₁×#124	C₂²	semidirect
56. C₄×C₁₁×#41	C₂²	semidirect
57. C₁₁×#495	C₂²	semidirect
58. C₁₁×#495	C₂²	semidirect
59. C₁₁×#488	C₂²	semidirect
60. C₁₁×#488	C₂²	semidirect
61. C₁₁×#485	C₂²	semidirect
62. C₁₁×#485	C₂²	semidirect
63. C₁₁×#485	C₂²	semidirect
64. C₁₁×#482	C₂²	semidirect
65. C₁₁×#481	C₂²	semidirect
66. C₁₁×#480	C₂²	semidirect
67. C₁₁×#479	C₂²	semidirect
68. C₁₁×#478	C₂²	semidirect
69. C₁₁×#470	C₂²	semidirect
70. C₁₁×#469	C₂²	semidirect
71. C₁₁×#468	C₂²	semidirect
72. C₁₁×#468	C₂²	semidirect
73. C₁₁×#467	C₂²	semidirect
74. C₁₁×#466	C₂²	semidirect
75. C₁₁×#465	C₂²	semidirect
76. C₁₁×#465	C₂²	semidirect
77. C₁₁×#464	C₂²	semidirect
78. C₁₁×#464	C₂²	semidirect
79. C₁₁×#464	C₂²	semidirect
80. C₁₁×#463	C₂²	semidirect
81. C₁₁×#463	C₂²	semidirect
82. C₁₁×#463	C₂²	semidirect
84. C₁₁×#452	C₂²	semidirect
85. C₁₁×#452	C₂²	semidirect
86. C₁₁×#451	C₂²	semidirect
87. C₁₁×#451	C₂²	semidirect
88. C₁₁×#451	C₂²	semidirect
90. C₁₁×#450	C₂²	semidirect
91. C₁₁×#450	C₂²	semidirect
94. C₁₁×#449	C₂²	semidirect
95. C₁₁×#449	C₂²	semidirect
96. C₁₁×#449	C₂²	semidirect
97. C₁₁×#448	C₂²	semidirect
98. C₁₁×#448	C₂²	semidirect
101. C₄×C₁₁×Q₁₆	C₂²	semidirect
102. C₄×C₁₁×SD₁₆	C₂²	semidirect
103. C₄×C₁₁×SD₁₆	C₂²	semidirect
104. C₄×C₁₁×D₈	C₂²	semidirect
105. C₁₁×#436	C₂²	semidirect
106. C₁₁×#436	C₂²	semidirect
107. C₈×D₄×C₁₁	C₂²	semidirect
108. C₈×D₄×C₁₁	C₂²	semidirect
109. C₁₁×#431	C₂²	semidirect
111. C₁₁×#418	C₂²	semidirect
112. C₁₁×#417	C₂²	semidirect
114. C₁₁×#416	C₂²	semidirect
115. C₂×C₁₁×#103	C₂²	semidirect
118. C₁₁×#408	C₂²	semidirect
290. #61663	C₁₁	direct (N × H)
449. #3551	C₂×C₁₁	semidirect
450. #3500	C₂×C₁₁	semidirect
451. #3323	C₂×C₁₁	semidirect
452. #3322	C₂×C₁₁	semidirect
453. #3301	C₂×C₁₁	semidirect
454. #3300	C₂×C₁₁	semidirect
455. #3282	C₂×C₁₁	semidirect
456. #3280	C₂×C₁₁	semidirect
457. #3277	C₂×C₁₁	semidirect
458. #3275	C₂×C₁₁	semidirect
459. #3211	C₂×C₁₁	semidirect
460. #3202	C₂×C₁₁	semidirect
461. #3200	C₂×C₁₁	semidirect
462. #3198	C₂×C₁₁	semidirect
463. #3102	C₂×C₁₁	semidirect
464. #3013	C₂×C₁₁	semidirect
465. #3009	C₂×C₁₁	semidirect
466. #3008	C₂×C₁₁	semidirect
467. #2979	C₂×C₁₁	semidirect
561. C₂×2₋¹⁺⁴	C₂²×C₁₁	semidirect
563. C₂×#137	C₂²×C₁₁	semidirect
564. C₂×#137	C₂²×C₁₁	semidirect
566. C₂×#135	C₂²×C₁₁	semidirect
567. C₂²×SD₁₆	C₂²×C₁₁	semidirect
572. #553	C₂²×C₁₁	semidirect
573. #552	C₂²×C₁₁	semidirect
576. #548	C₂²×C₁₁	semidirect
577. #548	C₂²×C₁₁	semidirect
581. #546	C₂²×C₁₁	semidirect
582. #546	C₂²×C₁₁	semidirect
585. #537	C₂²×C₁₁	semidirect
591. #535	C₂²×C₁₁	semidirect
594. #529	C₂²×C₁₁	semidirect
596. C₂×#124	C₂²×C₁₁	semidirect
597. C₄×#41	C₂²×C₁₁	semidirect
598. #495	C₂²×C₁₁	semidirect
599. #495	C₂²×C₁₁	semidirect
600. #488	C₂²×C₁₁	semidirect
601. #488	C₂²×C₁₁	semidirect
602. #485	C₂²×C₁₁	semidirect
603. #485	C₂²×C₁₁	semidirect
604. #485	C₂²×C₁₁	semidirect
605. #482	C₂²×C₁₁	semidirect
606. #481	C₂²×C₁₁	semidirect
607. #480	C₂²×C₁₁	semidirect
608. #479	C₂²×C₁₁	semidirect
609. #478	C₂²×C₁₁	semidirect
610. #470	C₂²×C₁₁	semidirect
611. #469	C₂²×C₁₁	semidirect
612. #468	C₂²×C₁₁	semidirect
613. #468	C₂²×C₁₁	semidirect
614. #467	C₂²×C₁₁	semidirect
615. #466	C₂²×C₁₁	semidirect
616. #465	C₂²×C₁₁	semidirect
617. #465	C₂²×C₁₁	semidirect
618. #464	C₂²×C₁₁	semidirect
619. #464	C₂²×C₁₁	semidirect
620. #464	C₂²×C₁₁	semidirect
621. #463	C₂²×C₁₁	semidirect
622. #463	C₂²×C₁₁	semidirect
623. #463	C₂²×C₁₁	semidirect
625. #452	C₂²×C₁₁	semidirect
626. #452	C₂²×C₁₁	semidirect
627. #451	C₂²×C₁₁	semidirect
628. #451	C₂²×C₁₁	semidirect
629. #451	C₂²×C₁₁	semidirect
631. #450	C₂²×C₁₁	semidirect
632. #450	C₂²×C₁₁	semidirect
635. #449	C₂²×C₁₁	semidirect
636. #449	C₂²×C₁₁	semidirect
637. #449	C₂²×C₁₁	semidirect
638. #448	C₂²×C₁₁	semidirect
639. #448	C₂²×C₁₁	semidirect
642. C₄×Q₁₆	C₂²×C₁₁	semidirect
643. C₄×SD₁₆	C₂²×C₁₁	semidirect
644. C₄×SD₁₆	C₂²×C₁₁	semidirect
645. C₄×D₈	C₂²×C₁₁	semidirect
646. #436	C₂²×C₁₁	semidirect
647. #436	C₂²×C₁₁	semidirect
648. C₈×D₄	C₂²×C₁₁	semidirect
649. C₈×D₄	C₂²×C₁₁	semidirect
650. #431	C₂²×C₁₁	semidirect
652. #418	C₂²×C₁₁	semidirect
653. #417	C₂²×C₁₁	semidirect
655. #416	C₂²×C₁₁	semidirect
656. C₂×#103	C₂²×C₁₁	semidirect
659. #408	C₂²×C₁₁	semidirect
1036. C₁₁	#61663	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×#3551	2
C₁₁×#3500	2
C₁₁×#3323	2
C₁₁×#3322	2
C₁₁×#3301	2
C₁₁×#3300	2
C₁₁×#3282	2
C₁₁×#3280	2
C₁₁×#3277	2
C₁₁×#3275	2
C₁₁×#3211	2
C₁₁×#3202	2
C₁₁×#3200	2
C₁₁×#3198	2
C₁₁×#3102	2
C₁₁×#3013	2
C₁₁×#3009	2
C₁₁×#3008	2
C₁₁×#2979	2
#61663	11

Subgroups — C11×#61663 #14638856

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61663 #14638856