Subgroups — C₁₁×#60595 #14637788

Order 2816.

2014 conjugacy classes of subgroups.

The subgroup lattice has 1154 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×C₁₁×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3125	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3124	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3121	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3121	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3117	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3111	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3108	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3102	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3097	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3096	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3078	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3076	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3040	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₁×#464	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#3011	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#3010	C₂	1	1	yes	maximal, characteristic
19	C₁₁×#2950	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₁×#2949	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₁×#2947	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₁×#2946	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2925	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×#137	C₂²	1	1	yes	characteristic
26	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
27	C₂²×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic
28	C₂²×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
29	C₁₁×#559	—	2	1	no	—
30	C₁₁×#559	—	2	1	no	—
31	C₁₁×#556	—	2	1	no	—
32	C₁₁×#556	—	2	1	no	—
33	C₁₁×#551	—	2	2	no	—
34	C₁₁×#551	—	2	2	no	—
35	C₁₁×#542	C₂²	1	2	yes	—
36	C₁₁×#542	C₂²	1	2	yes	—
37	C₁₁×#536	C₂²	1	1	yes	characteristic
38	C₁₁×#535	C₂²	1	1	yes	characteristic
39	C₁₁×#533	C₂²	1	1	yes	characteristic
40	C₁₁×#529	C₂²	1	2	yes	—
41	C₁₁×#529	C₂²	1	2	yes	—
42	C₂×C₁₁×#124	C₂²	1	1	yes	characteristic
43	C₁₁×#520	—	2	2	no	—
44	C₁₁×#520	—	2	1	no	—
45	C₁₁×#520	C₂²	1	1	yes	characteristic
46	C₁₁×#520	C₂²	1	1	yes	characteristic
47	C₁₁×#520	C₂²	1	2	yes	complemented
48	C₁₁×#519	—	2	1	no	—
49	C₁₁×#519	C₂²	1	1	yes	characteristic
50	C₁₁×#519	C₂²	1	1	yes	characteristic
51	C₁₁×#519	C₂²	1	2	yes	complemented
52	C₁₁×#518	C₂²	1	1	yes	characteristic
53	C₄×C₁₁×#41	—	2	2	no	—
54	C₄×C₁₁×#41	—	2	1	no	—
55	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
56	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
57	C₄×C₁₁×#41	C₂²	1	2	yes	complemented
58	C₂×C₄×Q₈×C₁₁	—	2	1	no	—
59	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
60	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	complemented
61	C₁₁×#485	C₂²	1	2	yes	complemented
62	C₁₁×#485	C₂²	1	2	yes	complemented
63	C₁₁×#484	C₂²	1	2	yes	complemented
64	C₁₁×#483	C₂²	1	2	yes	complemented
65	C₁₁×#482	C₂²	1	2	yes	—
66	C₁₁×#482	C₂²	1	2	yes	—
67	C₁₁×#481	C₂²	1	2	yes	—
68	C₁₁×#480	C₂²	1	2	yes	—
69	C₁₁×#479	C₂²	1	1	yes	characteristic, complemented
70	C₁₁×#479	C₂²	1	1	yes	characteristic, complemented
71	C₁₁×#479	C₂²	1	2	yes	complemented
72	C₁₁×#479	C₂²	1	2	yes	complemented
73	C₁₁×#478	C₂²	1	1	yes	characteristic, complemented
74	C₁₁×#478	C₂²	1	1	yes	characteristic, complemented
75	C₁₁×#477	C₂²	1	1	yes	characteristic, complemented
76	C₁₁×#477	C₂²	1	2	yes	complemented
77	C₁₁×#476	C₂²	1	1	yes	characteristic, complemented
78	C₁₁×#475	C₂²	1	1	yes	characteristic, complemented
79	C₁₁×#475	C₂²	1	2	yes	complemented
80	C₁₁×#474	C₂²	1	1	yes	characteristic, complemented
81	C₁₁×#464	C₂²	1	2	yes	—
82	C₁₁×#464	C₂²	1	2	yes	—
83	C₁₁×#464	C₂²	1	2	yes	—
84	C₁₁×#464	C₂²	1	2	yes	—
85	C₁₁×#464	C₂²	1	2	yes	—
86	C₁₁×#464	C₂²	1	2	yes	—
87	C₁₁×#463	C₂²	1	2	yes	—
88	C₁₁×#463	C₂²	1	2	yes	—
89	C₁₁×#452	C₂²	1	2	yes	complemented
90	C₁₁×#452	C₂²	1	2	yes	complemented
91	C₁₁×#451	C₂²	1	2	yes	complemented
92	C₁₁×#451	C₂²	1	2	yes	complemented
93	C₁₁×#449	C₂²	1	2	yes	—
94	C₁₁×#449	C₂²	1	2	yes	—
95	C₁₁×#448	C₂²	1	2	yes	—
96	C₁₁×#448	C₂²	1	2	yes	—
97	C₁₁×#442	C₂²	1	2	yes	—
98	C₁₁×#441	C₂²	1	2	yes	complemented
99	C₁₁×#441	C₂²	1	2	yes	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	complemented
105	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	complemented
106	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	complemented
107	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	complemented
108	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
109	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
110	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
111	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
112	C₄×C₁₁×D₈	C₂²	1	2	yes	—
113	C₁₁×#433	C₂²	1	2	yes	complemented
114	C₁₁×#433	C₂²	1	2	yes	complemented
115	C₁₁×#432	C₂²	1	2	yes	complemented
116	C₁₁×#431	C₂²	1	2	yes	complemented
117	C₁₁×#428	C₂²	1	1	yes	characteristic
118	C₁₁×#428	C₂²	1	1	yes	characteristic
119	C₁₁×#427	C₂²	1	1	yes	characteristic
120	C₁₁×#427	C₂²	1	1	yes	characteristic
121	C₁₁×#423	C₂²	1	1	yes	characteristic
122	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
123	C₁₁×#419	C₂²	1	1	yes	characteristic
124	C₁₁×#419	C₂²	1	1	yes	characteristic
125	C₁₁×#419	C₂²	1	1	yes	characteristic
126	C₁₁×#418	C₂²	1	1	yes	characteristic
127	C₁₁×#416	C₂²	1	1	yes	characteristic
128	C₁₁×#416	C₂²	1	1	yes	characteristic
129	C₂×C₁₁×#103	C₂²	1	1	yes	characteristic
130	C₂×C₁₁×#102	C₂²	1	1	yes	characteristic
131	C₁₁×#408	C₂²	1	1	yes	characteristic
132	C₁₁×#408	C₂²	1	1	yes	characteristic
133	C₁₁×#405	C₂²	1	1	yes	characteristic
134	C₁₁×#405	C₂²	1	1	yes	characteristic
135	C₁₁×2₋¹⁺⁴	—	2	4	no	—
136	C₁₁×2₋¹⁺⁴	—	2	4	no	—
137	C₂×C₁₁×#41	—	2	2	no	—
138	C₂×C₁₁×#41	—	2	1	no	—
139	C₂×C₁₁×#41	C₂³	1	2	yes	—
140	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
141	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
142	C₂²×Q₈×C₁₁	—	2	1	no	—
143	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
144	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
145	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
146	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
147	C₁₁×#137	—	2	4	no	—
148	C₁₁×AGL(1,ℤ/8)	—	2	4	no	—
149	C₂×C₁₁×Q₁₆	—	2	4	no	—
150	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
151	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
152	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
153	C₂×C₁₁×SD₁₆	—	2	4	no	—
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	C₂³	1	2	yes	—
159	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
160	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
161	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
162	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
163	C₁₁×C₄⋊Q₈	—	2	1	no	—
164	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₁×#127	—	2	1	no	—
167	C₁₁×#126	—	2	2	no	—
168	C₁₁×#126	—	2	2	no	—
169	C₁₁×#126	—	2	2	no	—
170	C₁₁×#126	—	2	2	no	—
171	C₁₁×#125	C₂³	1	1	yes	characteristic
172	C₁₁×#125	C₂³	1	1	yes	characteristic
173	C₁₁×#124	—	2	1	no	—
174	C₁₁×#124	—	2	1	no	—
175	C₁₁×#124	—	2	2	no	—
176	C₁₁×#124	—	2	2	no	—
177	C₁₁×#124	—	2	1	no	—
178	C₁₁×#124	—	2	1	no	—
179	C₁₁×#124	C₂³	1	2	yes	—
180	C₁₁×#124	C₂³	1	2	yes	—
181	C₁₁×#123	—	2	2	no	—
182	C₁₁×#123	—	2	2	no	—
183	C₁₁×#123	—	2	2	no	—
184	C₁₁×#123	—	2	2	no	—
185	C₁₁×#123	—	2	2	no	—
186	C₁₁×C₂²⋊Q₈	—	2	1	no	—
187	C₁₁×C₂²⋊Q₈	—	2	1	no	—
188	C₁₁×C₂²⋊Q₈	—	2	2	no	—
189	C₁₁×C₂²⋊Q₈	—	2	2	no	—
190	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
191	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
192	C₁₁×#121	C₂³	1	2	yes	—
193	C₁₁×#121	C₂³	1	2	yes	—
194	C₁₁×#120	—	2	2	no	—
195	C₄×Q₈×C₁₁	—	2	1	no	—
196	C₄×Q₈×C₁₁	—	2	1	no	—
197	C₄×Q₈×C₁₁	—	2	2	no	—
198	C₄×Q₈×C₁₁	—	2	1	no	—
199	C₄×Q₈×C₁₁	—	2	2	no	—
200	C₄×Q₈×C₁₁	—	2	1	no	—
201	C₄×Q₈×C₁₁	—	2	1	no	—
202	C₄×Q₈×C₁₁	—	2	1	no	—
203	C₄×Q₈×C₁₁	—	2	2	no	—
204	C₄×Q₈×C₁₁	—	2	1	no	—
205	C₄×Q₈×C₁₁	—	2	2	no	—
206	C₄×Q₈×C₁₁	—	2	1	no	—
207	C₄×Q₈×C₁₁	—	2	1	no	—
208	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
209	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
210	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
211	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
212	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
213	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
214	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
215	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
216	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
217	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
218	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
219	C₄×D₄×C₁₁	—	2	2	no	—
220	C₄×D₄×C₁₁	—	2	1	no	—
221	C₄×D₄×C₁₁	—	2	1	no	—
222	C₄×D₄×C₁₁	—	2	2	no	—
223	C₄×D₄×C₁₁	—	2	1	no	—
224	C₄×D₄×C₁₁	—	2	2	no	—
225	C₄×D₄×C₁₁	—	2	2	no	—
226	C₄×D₄×C₁₁	—	2	2	no	—
227	C₄×D₄×C₁₁	—	2	1	no	—
228	C₄×D₄×C₁₁	—	2	1	no	—
229	C₄×D₄×C₁₁	—	2	2	no	—
230	C₄×D₄×C₁₁	—	2	2	no	—
231	C₄×D₄×C₁₁	—	2	2	no	—
232	C₄×D₄×C₁₁	D₄	1	2	yes	—
233	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
234	C₄×D₄×C₁₁	D₄	1	2	yes	—
235	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
236	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₁	C₂³	1	2	yes	—
239	C₄×D₄×C₁₁	C₂³	1	2	yes	—
240	C₄×D₄×C₁₁	C₂³	1	2	yes	—
241	C₁₁×#117	—	2	1	no	—
242	C₁₁×#117	—	2	2	no	—
243	C₁₁×#117	—	2	2	no	—
244	C₁₁×#117	—	2	2	no	—
245	C₁₁×#117	—	2	2	no	—
246	C₁₁×#117	—	2	2	no	—
247	C₁₁×#117	—	2	1	no	—
248	C₁₁×#117	—	2	2	no	—
249	C₁₁×#117	—	2	2	no	—
250	C₁₁×#117	—	2	2	no	—
251	C₁₁×#117	C₂³	1	1	yes	characteristic
252	C₁₁×#117	C₂³	1	2	yes	—
253	C₁₁×#117	C₂³	1	1	yes	characteristic
254	C₁₁×#117	C₂³	1	1	yes	characteristic
255	C₁₁×#117	C₂³	1	1	yes	characteristic
256	C₁₁×#117	C₂³	1	2	yes	—
257	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
258	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
259	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
260	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
261	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
263	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
264	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
265	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
266	C₂×C₄²×C₁₁	—	2	1	no	—
267	C₂×C₄²×C₁₁	—	2	2	no	—
268	C₂×C₄²×C₁₁	—	2	1	no	—
269	C₂×C₄²×C₁₁	—	2	2	no	—
270	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
271	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
272	C₁₁×#107	C₂³	1	1	yes	characteristic
273	C₁₁×#107	C₂³	1	1	yes	characteristic
274	C₁₁×#107	C₂³	1	1	yes	characteristic
275	C₁₁×#107	C₂³	1	1	yes	characteristic
276	C₁₁×#107	C₂³	1	2	yes	—
277	C₁₁×#107	C₂³	1	2	yes	—
278	C₁₁×#106	C₂³	1	1	yes	characteristic
279	C₁₁×#106	C₂³	1	1	yes	characteristic
280	C₁₁×#106	C₂³	1	1	yes	characteristic
281	C₁₁×#106	C₂³	1	1	yes	characteristic
282	C₁₁×#106	C₂³	1	2	yes	—
283	C₁₁×#106	C₂³	1	2	yes	—
284	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
288	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
289	C₁₁×C₄⋊C₈	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	1	yes	characteristic
294	C₁₁×#103	C₂³	1	1	yes	characteristic
295	C₁₁×#103	C₂³	1	1	yes	characteristic
296	C₁₁×#103	C₂³	1	2	yes	—
297	C₁₁×#103	C₂³	1	2	yes	—
298	C₁₁×#103	C₂³	1	2	yes	—
299	C₁₁×#103	C₂³	1	2	yes	—
300	C₁₁×#103	C₂³	1	2	yes	—
301	C₁₁×#103	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	1	yes	characteristic
306	C₁₁×#102	C₂³	1	1	yes	characteristic
307	C₁₁×#102	C₂³	1	1	yes	characteristic
308	C₁₁×#102	C₂³	1	2	yes	—
309	C₁₁×#102	C₂³	1	2	yes	—
310	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
313	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
314	C₁₁×#97	C₂³	1	2	yes	—
315	C₁₁×#97	C₂³	1	2	yes	—
316	C₄×C₈×C₁₁	C₂³	1	2	yes	—
317	C₄×C₈×C₁₁	C₂³	1	2	yes	—
318	#60595	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
319	C₂⁴×C₁₁	—	2	1	no	—
320	C₁₁×#41	—	2	16	no	—
321	C₁₁×#41	—	2	8	no	—
322	C₁₁×#41	—	2	4	no	—
323	C₁₁×#41	—	2	4	no	—
324	C₁₁×#41	—	2	2	no	—
325	C₁₁×#41	—	2	2	no	—
326	C₁₁×#41	—	2	2	no	—
327	C₁₁×#41	#41	1	4	yes	—
328	C₂×Q₈×C₁₁	—	2	8	no	—
329	C₂×Q₈×C₁₁	—	2	4	no	—
330	C₂×Q₈×C₁₁	—	2	4	no	—
331	C₂×Q₈×C₁₁	—	2	2	no	—
332	C₂×Q₈×C₁₁	—	2	1	no	—
333	C₂×Q₈×C₁₁	—	2	1	no	—
334	C₂×Q₈×C₁₁	—	2	1	no	—
335	C₂×Q₈×C₁₁	—	2	1	no	—
336	C₂×Q₈×C₁₁	—	2	2	no	—
337	C₂×Q₈×C₁₁	—	2	2	no	—
338	C₂×Q₈×C₁₁	—	2	2	no	—
339	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
340	C₂×Q₈×C₁₁	#41	1	4	yes	—
341	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
342	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
343	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
344	C₂×D₄×C₁₁	—	2	2	no	—
345	C₂×D₄×C₁₁	—	2	1	no	—
346	C₂×D₄×C₁₁	—	2	2	no	—
347	C₂×D₄×C₁₁	—	2	2	no	—
348	C₂×D₄×C₁₁	—	2	1	no	—
349	C₂×D₄×C₁₁	—	2	2	no	—
350	C₂×D₄×C₁₁	—	2	2	no	—
351	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
352	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
353	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
354	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₁₁	—	2	2	no	—
356	C₂²×C₄×C₁₁	—	2	1	no	—
357	C₂²×C₄×C₁₁	—	2	2	no	—
358	C₂²×C₄×C₁₁	—	2	1	no	—
359	C₂²×C₄×C₁₁	—	2	1	no	—
360	C₂²×C₄×C₁₁	—	2	2	no	—
361	C₂²×C₄×C₁₁	—	2	1	no	—
362	C₂²×C₄×C₁₁	—	2	1	no	—
363	C₂²×C₄×C₁₁	—	2	2	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	C₂×D₄	1	1	yes	characteristic
368	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
369	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
370	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
371	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
372	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
373	C₁₁×Q₁₆	—	2	4	no	—
374	C₁₁×Q₁₆	—	2	4	no	—
375	C₁₁×Q₁₆	—	2	4	no	—
376	C₁₁×SD₁₆	—	2	4	no	—
377	C₁₁×SD₁₆	—	2	4	no	—
378	C₁₁×SD₁₆	—	2	4	no	—
379	C₁₁×SD₁₆	—	2	4	no	—
380	C₁₁×D₈	—	2	4	no	—
381	C₁₁×M₁₆	—	2	2	no	—
382	C₁₁×M₁₆	—	2	2	no	—
383	C₂×C₈×C₁₁	—	2	2	no	—
384	C₂×C₈×C₁₁	—	2	2	no	—
385	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
386	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
387	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
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	C₁₁×C₄⋊C₄	—	2	2	no	—
392	C₁₁×C₄⋊C₄	—	2	2	no	—
393	C₁₁×C₄⋊C₄	—	2	2	no	—
394	C₁₁×C₄⋊C₄	—	2	2	no	—
395	C₁₁×C₄⋊C₄	—	2	1	no	—
396	C₁₁×C₄⋊C₄	—	2	2	no	—
397	C₁₁×C₄⋊C₄	—	2	1	no	—
398	C₁₁×C₄⋊C₄	—	2	2	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	1	no	—
407	C₁₁×C₄⋊C₄	—	2	1	no	—
408	C₁₁×C₄⋊C₄	—	2	1	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	2	yes	—
412	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
413	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
414	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
415	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
416	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
417	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
419	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
420	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
421	C₁₁×C₂²⋊C₄	—	2	1	no	—
422	C₁₁×C₂²⋊C₄	—	2	2	no	—
423	C₁₁×C₂²⋊C₄	—	2	1	no	—
424	C₁₁×C₂²⋊C₄	—	2	1	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	1	no	—
434	C₁₁×C₂²⋊C₄	—	2	2	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	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	2	no	—
442	C₄²×C₁₁	—	2	1	no	—
443	C₄²×C₁₁	—	2	2	no	—
444	C₄²×C₁₁	—	2	1	no	—
445	C₄²×C₁₁	—	2	2	no	—
446	C₄²×C₁₁	—	2	2	no	—
447	C₄²×C₁₁	—	2	2	no	—
448	C₄²×C₁₁	—	2	2	no	—
449	C₄²×C₁₁	—	2	1	no	—
450	C₄²×C₁₁	—	2	2	no	—
451	C₄²×C₁₁	—	2	2	no	—
452	C₄²×C₁₁	—	2	1	no	—
453	C₄²×C₁₁	—	2	1	no	—
454	C₄²×C₁₁	C₂×D₄	1	2	yes	—
455	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
456	C₄²×C₁₁	C₂×D₄	1	2	yes	—
457	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
458	C₄²×C₁₁	C₂⁴	1	2	yes	—
459	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
460	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
461	#3510	C₂×C₁₁	1	1	yes	characteristic, complemented
462	C₄×2₋¹⁺⁴	C₂×C₁₁	1	1	yes	characteristic, complemented
463	#3125	C₂×C₁₁	1	2	yes	complemented
464	#3124	C₂×C₁₁	1	2	yes	complemented
465	#3121	C₂×C₁₁	1	2	yes	complemented
466	#3121	C₂×C₁₁	1	2	yes	complemented
467	#3117	C₂×C₁₁	1	2	yes	complemented
468	#3111	C₂×C₁₁	1	2	yes	complemented
469	#3108	C₂×C₁₁	1	2	yes	complemented
470	#3102	C₂×C₁₁	1	2	yes	complemented
471	#3097	C₂×C₁₁	1	1	yes	characteristic, complemented
472	#3096	C₂×C₁₁	1	1	yes	characteristic, complemented
473	#3078	C₂×C₁₁	1	1	yes	characteristic, complemented
474	#3076	C₂×C₁₁	1	1	yes	characteristic, complemented
475	#3040	C₂×C₁₁	1	1	yes	characteristic, complemented
476	C₂×#464	C₂×C₁₁	1	1	yes	characteristic, complemented
477	#3011	C₂×C₁₁	1	1	yes	characteristic, complemented
478	#3010	C₂×C₁₁	1	1	yes	characteristic
479	#2950	C₂×C₁₁	1	1	yes	characteristic, complemented
480	#2949	C₂×C₁₁	1	1	yes	characteristic, complemented
481	#2947	C₂×C₁₁	1	1	yes	characteristic, complemented
482	#2946	C₂×C₁₁	1	1	yes	characteristic, complemented
483	#2925	C₂×C₁₁	1	1	yes	characteristic, complemented
484	C₂³×C₁₁	—	2	1	no	—
485	C₂³×C₁₁	—	2	2	no	—
486	C₂³×C₁₁	—	4	2	no	—
487	C₂³×C₁₁	—	8	1	no	—
488	C₂³×C₁₁	—	8	1	no	—
489	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
490	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
491	Q₈×C₁₁	—	2	8	no	—
492	Q₈×C₁₁	—	2	2	no	—
493	Q₈×C₁₁	—	2	4	no	—
494	Q₈×C₁₁	—	2	1	no	—
495	Q₈×C₁₁	—	2	2	no	—
496	Q₈×C₁₁	—	2	2	no	—
497	Q₈×C₁₁	—	2	2	no	—
498	Q₈×C₁₁	—	4	2	no	—
499	Q₈×C₁₁	—	8	1	no	—
500	Q₈×C₁₁	—	8	1	no	—
501	Q₈×C₁₁	C₂×#41	1	2	yes	—
502	Q₈×C₁₁	C₂×#41	1	4	yes	—
503	D₄×C₁₁	—	2	8	no	—
504	D₄×C₁₁	—	2	4	no	—
505	D₄×C₁₁	—	2	4	no	—
506	D₄×C₁₁	—	2	2	no	—
507	D₄×C₁₁	—	2	1	no	—
508	D₄×C₁₁	—	2	2	no	—
509	D₄×C₁₁	—	2	2	no	—
510	D₄×C₁₁	—	4	2	no	—
511	D₄×C₁₁	—	8	2	no	—
512	D₄×C₁₁	—	8	2	no	—
513	D₄×C₁₁	C₂×#41	1	2	yes	—
514	C₂×C₄×C₁₁	—	2	8	no	—
515	C₂×C₄×C₁₁	—	2	8	no	—
516	C₂×C₄×C₁₁	—	2	4	no	—
517	C₂×C₄×C₁₁	—	2	2	no	—
518	C₂×C₄×C₁₁	—	2	1	no	—
519	C₂×C₄×C₁₁	—	2	4	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	2	no	—
524	C₂×C₄×C₁₁	—	2	1	no	—
525	C₂×C₄×C₁₁	—	2	1	no	—
526	C₂×C₄×C₁₁	—	2	1	no	—
527	C₂×C₄×C₁₁	—	2	2	no	—
528	C₂×C₄×C₁₁	—	2	1	no	—
529	C₂×C₄×C₁₁	—	2	1	no	—
530	C₂×C₄×C₁₁	—	4	2	no	—
531	C₂×C₄×C₁₁	—	4	1	no	—
532	C₂×C₄×C₁₁	—	4	2	no	—
533	C₂×C₄×C₁₁	—	4	1	no	—
534	C₂×C₄×C₁₁	—	4	2	no	—
535	C₂×C₄×C₁₁	—	4	2	no	—
536	C₂×C₄×C₁₁	—	8	2	no	—
537	C₂×C₄×C₁₁	—	8	2	no	—
538	C₂×C₄×C₁₁	—	8	1	no	—
539	C₂×C₄×C₁₁	—	8	2	no	—
540	C₂×C₄×C₁₁	—	8	1	no	—
541	C₂×C₄×C₁₁	—	8	2	no	—
542	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
543	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
544	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
546	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
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	C₂×#41	1	2	yes	—
551	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
552	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
553	C₈×C₁₁	—	2	1	no	—
554	C₈×C₁₁	—	2	1	no	—
555	C₈×C₁₁	—	2	1	no	—
556	C₈×C₁₁	—	2	1	no	—
557	C₈×C₁₁	—	2	2	no	—
558	C₈×C₁₁	—	2	2	no	—
559	C₂×2₋¹⁺⁴	C₂²×C₁₁	1	1	yes	characteristic
560	C₂×#137	C₂²×C₁₁	1	1	yes	characteristic
561	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	1	yes	characteristic
562	C₂²×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic
563	C₂²×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
564	#559	—	2	1	no	—
565	#559	—	2	1	no	—
566	#556	—	2	1	no	—
567	#556	—	2	1	no	—
568	#551	—	2	2	no	—
569	#551	—	2	2	no	—
570	#542	C₂²×C₁₁	1	2	yes	—
571	#542	C₂²×C₁₁	1	2	yes	—
572	#536	C₂²×C₁₁	1	1	yes	characteristic
573	#535	C₂²×C₁₁	1	1	yes	characteristic
574	#533	C₂²×C₁₁	1	1	yes	characteristic
575	#529	C₂²×C₁₁	1	2	yes	—
576	#529	C₂²×C₁₁	1	2	yes	—
577	C₂×#124	C₂²×C₁₁	1	1	yes	characteristic
578	#520	—	2	2	no	—
579	#520	—	2	1	no	—
580	#520	C₂²×C₁₁	1	1	yes	characteristic
581	#520	C₂²×C₁₁	1	1	yes	characteristic
582	#520	C₂²×C₁₁	1	2	yes	complemented
583	#519	—	2	1	no	—
584	#519	C₂²×C₁₁	1	1	yes	characteristic
585	#519	C₂²×C₁₁	1	1	yes	characteristic
586	#519	C₂²×C₁₁	1	2	yes	complemented
587	#518	C₂²×C₁₁	1	1	yes	characteristic
588	C₄×#41	—	2	2	no	—
589	C₄×#41	—	2	1	no	—
590	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
591	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
592	C₄×#41	C₂²×C₁₁	1	2	yes	complemented
593	C₂×C₄×Q₈	—	2	1	no	—
594	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
595	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	complemented
596	#485	C₂²×C₁₁	1	2	yes	complemented
597	#485	C₂²×C₁₁	1	2	yes	complemented
598	#484	C₂²×C₁₁	1	2	yes	complemented
599	#483	C₂²×C₁₁	1	2	yes	complemented
600	#482	C₂²×C₁₁	1	2	yes	—
601	#482	C₂²×C₁₁	1	2	yes	—
602	#481	C₂²×C₁₁	1	2	yes	—
603	#480	C₂²×C₁₁	1	2	yes	—
604	#479	C₂²×C₁₁	1	1	yes	characteristic, complemented
605	#479	C₂²×C₁₁	1	1	yes	characteristic, complemented
606	#479	C₂²×C₁₁	1	2	yes	complemented
607	#479	C₂²×C₁₁	1	2	yes	complemented
608	#478	C₂²×C₁₁	1	1	yes	characteristic, complemented
609	#478	C₂²×C₁₁	1	1	yes	characteristic, complemented
610	#477	C₂²×C₁₁	1	1	yes	characteristic, complemented
611	#477	C₂²×C₁₁	1	2	yes	complemented
612	#476	C₂²×C₁₁	1	1	yes	characteristic, complemented
613	#475	C₂²×C₁₁	1	1	yes	characteristic, complemented
614	#475	C₂²×C₁₁	1	2	yes	complemented
615	#474	C₂²×C₁₁	1	1	yes	characteristic, complemented
616	#464	C₂²×C₁₁	1	2	yes	—
617	#464	C₂²×C₁₁	1	2	yes	—
618	#464	C₂²×C₁₁	1	2	yes	—
619	#464	C₂²×C₁₁	1	2	yes	—
620	#464	C₂²×C₁₁	1	2	yes	—
621	#464	C₂²×C₁₁	1	2	yes	—
622	#463	C₂²×C₁₁	1	2	yes	—
623	#463	C₂²×C₁₁	1	2	yes	—
624	#452	C₂²×C₁₁	1	2	yes	complemented
625	#452	C₂²×C₁₁	1	2	yes	complemented
626	#451	C₂²×C₁₁	1	2	yes	complemented
627	#451	C₂²×C₁₁	1	2	yes	complemented
628	#449	C₂²×C₁₁	1	2	yes	—
629	#449	C₂²×C₁₁	1	2	yes	—
630	#448	C₂²×C₁₁	1	2	yes	—
631	#448	C₂²×C₁₁	1	2	yes	—
632	#442	C₂²×C₁₁	1	2	yes	—
633	#441	C₂²×C₁₁	1	2	yes	complemented
634	#441	C₂²×C₁₁	1	2	yes	complemented
635	#441	C₂²×C₁₁	1	2	yes	complemented
636	#440	C₂²×C₁₁	1	2	yes	—
637	#440	C₂²×C₁₁	1	2	yes	—
638	#440	C₂²×C₁₁	1	2	yes	—
639	#440	C₂²×C₁₁	1	2	yes	complemented
640	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	complemented
641	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	complemented
642	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	complemented
643	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
644	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
645	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
646	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
647	C₄×D₈	C₂²×C₁₁	1	2	yes	—
648	#433	C₂²×C₁₁	1	2	yes	complemented
649	#433	C₂²×C₁₁	1	2	yes	complemented
650	#432	C₂²×C₁₁	1	2	yes	complemented
651	#431	C₂²×C₁₁	1	2	yes	complemented
652	#428	C₂²×C₁₁	1	1	yes	characteristic
653	#428	C₂²×C₁₁	1	1	yes	characteristic
654	#427	C₂²×C₁₁	1	1	yes	characteristic
655	#427	C₂²×C₁₁	1	1	yes	characteristic
656	#423	C₂²×C₁₁	1	1	yes	characteristic
657	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
658	#419	C₂²×C₁₁	1	1	yes	characteristic
659	#419	C₂²×C₁₁	1	1	yes	characteristic
660	#419	C₂²×C₁₁	1	1	yes	characteristic
661	#418	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	#408	C₂²×C₁₁	1	1	yes	characteristic
667	#408	C₂²×C₁₁	1	1	yes	characteristic
668	#405	C₂²×C₁₁	1	1	yes	characteristic
669	#405	C₂²×C₁₁	1	1	yes	characteristic
670	C₂²×C₁₁	—	2	1	no	—
671	C₂²×C₁₁	—	2	1	no	—
672	C₂²×C₁₁	—	2	2	no	—
673	C₂²×C₁₁	—	2	2	no	—
674	C₂²×C₁₁	—	2	2	no	—
675	C₂²×C₁₁	—	2	2	no	—
676	C₂²×C₁₁	—	4	1	no	—
677	C₂²×C₁₁	—	4	1	no	—
678	C₂²×C₁₁	—	4	2	no	—
679	C₂²×C₁₁	—	4	2	no	—
680	C₂²×C₁₁	—	4	2	no	—
681	C₂²×C₁₁	—	16	2	no	—
682	C₂²×C₁₁	#525	1	2	yes	—
683	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
684	C₄×C₁₁	—	2	1	no	—
685	C₄×C₁₁	—	2	2	no	—
686	C₄×C₁₁	—	2	1	no	—
687	C₄×C₁₁	—	2	1	no	—
688	C₄×C₁₁	—	2	2	no	—
689	C₄×C₁₁	—	2	1	no	—
690	C₄×C₁₁	—	2	4	no	—
691	C₄×C₁₁	—	2	2	no	—
692	C₄×C₁₁	—	2	2	no	—
693	C₄×C₁₁	—	4	2	no	—
694	C₄×C₁₁	—	4	1	no	—
695	C₄×C₁₁	—	4	1	no	—
696	C₄×C₁₁	—	4	1	no	—
697	C₄×C₁₁	—	4	1	no	—
698	C₄×C₁₁	—	4	1	no	—
699	C₄×C₁₁	—	4	1	no	—
700	C₄×C₁₁	—	4	2	no	—
701	C₄×C₁₁	#525	1	2	yes	—
702	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
703	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
704	2₋¹⁺⁴	—	2	4	no	—
705	2₋¹⁺⁴	—	2	4	no	—
706	C₂×#41	—	2	2	no	—
707	C₂×#41	—	2	1	no	—
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	C₂³×C₁₁	1	1	yes	characteristic
716	#137	—	2	4	no	—
717	AGL(1,ℤ/8)	—	2	4	no	—
718	C₂×Q₁₆	—	2	4	no	—
719	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
720	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
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	2	yes	—
726	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
727	C₂×D₈	C₂³×C₁₁	1	2	yes	—
728	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
729	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
730	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
731	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
732	C₄⋊Q₈	—	2	1	no	—
733	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
734	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
735	#127	—	2	1	no	—
736	#126	—	2	2	no	—
737	#126	—	2	2	no	—
738	#126	—	2	2	no	—
739	#126	—	2	2	no	—
740	#125	C₂³×C₁₁	1	1	yes	characteristic
741	#125	C₂³×C₁₁	1	1	yes	characteristic
742	#124	—	2	1	no	—
743	#124	—	2	1	no	—
744	#124	—	2	2	no	—
745	#124	—	2	2	no	—
746	#124	—	2	1	no	—
747	#124	—	2	1	no	—
748	#124	C₂³×C₁₁	1	2	yes	—
749	#124	C₂³×C₁₁	1	2	yes	—
750	#123	—	2	2	no	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	#123	—	2	2	no	—
754	#123	—	2	2	no	—
755	C₂²⋊Q₈	—	2	1	no	—
756	C₂²⋊Q₈	—	2	1	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
760	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
761	#121	C₂³×C₁₁	1	2	yes	—
762	#121	C₂³×C₁₁	1	2	yes	—
763	#120	—	2	2	no	—
764	C₄×Q₈	—	2	1	no	—
765	C₄×Q₈	—	2	1	no	—
766	C₄×Q₈	—	2	2	no	—
767	C₄×Q₈	—	2	1	no	—
768	C₄×Q₈	—	2	2	no	—
769	C₄×Q₈	—	2	1	no	—
770	C₄×Q₈	—	2	1	no	—
771	C₄×Q₈	—	2	1	no	—
772	C₄×Q₈	—	2	2	no	—
773	C₄×Q₈	—	2	1	no	—
774	C₄×Q₈	—	2	2	no	—
775	C₄×Q₈	—	2	1	no	—
776	C₄×Q₈	—	2	1	no	—
777	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
778	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
779	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
780	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
781	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
782	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
783	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
784	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
785	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
786	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
787	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
788	C₄×D₄	—	2	2	no	—
789	C₄×D₄	—	2	1	no	—
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	2	no	—
792	C₄×D₄	—	2	1	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	—	2	2	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	2	no	—
799	C₄×D₄	—	2	2	no	—
800	C₄×D₄	—	2	2	no	—
801	C₄×D₄	D₄×C₁₁	1	2	yes	—
802	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
803	C₄×D₄	D₄×C₁₁	1	2	yes	—
804	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
805	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
806	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
807	C₄×D₄	C₂³×C₁₁	1	2	yes	—
808	C₄×D₄	C₂³×C₁₁	1	2	yes	—
809	C₄×D₄	C₂³×C₁₁	1	2	yes	—
810	#117	—	2	1	no	—
811	#117	—	2	2	no	—
812	#117	—	2	2	no	—
813	#117	—	2	2	no	—
814	#117	—	2	2	no	—
815	#117	—	2	2	no	—
816	#117	—	2	1	no	—
817	#117	—	2	2	no	—
818	#117	—	2	2	no	—
819	#117	—	2	2	no	—
820	#117	C₂³×C₁₁	1	1	yes	characteristic
821	#117	C₂³×C₁₁	1	2	yes	—
822	#117	C₂³×C₁₁	1	1	yes	characteristic
823	#117	C₂³×C₁₁	1	1	yes	characteristic
824	#117	C₂³×C₁₁	1	1	yes	characteristic
825	#117	C₂³×C₁₁	1	2	yes	—
826	C₂×C₄⋊C₄	—	2	1	no	—
827	C₂×C₄⋊C₄	—	2	2	no	—
828	C₂×C₄⋊C₄	—	2	1	no	—
829	C₂×C₄⋊C₄	—	2	2	no	—
830	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
831	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
832	C₂×C₂²⋊C₄	—	2	1	no	—
833	C₂×C₂²⋊C₄	—	2	1	no	—
834	C₂×C₂²⋊C₄	—	2	2	no	—
835	C₂×C₄²	—	2	1	no	—
836	C₂×C₄²	—	2	2	no	—
837	C₂×C₄²	—	2	1	no	—
838	C₂×C₄²	—	2	2	no	—
839	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
840	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
841	#107	C₂³×C₁₁	1	1	yes	characteristic
842	#107	C₂³×C₁₁	1	1	yes	characteristic
843	#107	C₂³×C₁₁	1	1	yes	characteristic
844	#107	C₂³×C₁₁	1	1	yes	characteristic
845	#107	C₂³×C₁₁	1	2	yes	—
846	#107	C₂³×C₁₁	1	2	yes	—
847	#106	C₂³×C₁₁	1	1	yes	characteristic
848	#106	C₂³×C₁₁	1	1	yes	characteristic
849	#106	C₂³×C₁₁	1	1	yes	characteristic
850	#106	C₂³×C₁₁	1	1	yes	characteristic
851	#106	C₂³×C₁₁	1	2	yes	—
852	#106	C₂³×C₁₁	1	2	yes	—
853	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
854	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
855	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
856	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
857	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
858	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
859	#103	C₂³×C₁₁	1	2	yes	—
860	#103	C₂³×C₁₁	1	2	yes	—
861	#103	C₂³×C₁₁	1	1	yes	characteristic
862	#103	C₂³×C₁₁	1	1	yes	characteristic
863	#103	C₂³×C₁₁	1	1	yes	characteristic
864	#103	C₂³×C₁₁	1	1	yes	characteristic
865	#103	C₂³×C₁₁	1	2	yes	—
866	#103	C₂³×C₁₁	1	2	yes	—
867	#103	C₂³×C₁₁	1	2	yes	—
868	#103	C₂³×C₁₁	1	2	yes	—
869	#103	C₂³×C₁₁	1	2	yes	—
870	#103	C₂³×C₁₁	1	2	yes	—
871	#102	C₂³×C₁₁	1	2	yes	—
872	#102	C₂³×C₁₁	1	2	yes	—
873	#102	C₂³×C₁₁	1	1	yes	characteristic
874	#102	C₂³×C₁₁	1	1	yes	characteristic
875	#102	C₂³×C₁₁	1	1	yes	characteristic
876	#102	C₂³×C₁₁	1	1	yes	characteristic
877	#102	C₂³×C₁₁	1	2	yes	—
878	#102	C₂³×C₁₁	1	2	yes	—
879	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
880	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
881	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
882	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
883	#97	C₂³×C₁₁	1	2	yes	—
884	#97	C₂³×C₁₁	1	2	yes	—
885	C₄×C₈	C₂³×C₁₁	1	2	yes	—
886	C₄×C₈	C₂³×C₁₁	1	2	yes	—
887	C₂×C₁₁	—	2	2	no	—
888	C₂×C₁₁	—	4	2	no	—
889	C₂×C₁₁	—	4	2	no	—
890	C₂×C₁₁	—	8	2	no	—
891	C₂×C₁₁	C₂×#525	1	1	yes	characteristic
892	C₂×C₁₁	#3584	1	1	yes	characteristic
893	C₂×C₁₁	#3586	1	1	yes	characteristic
894	C₂⁴	—	2	1	no	—
895	#41	—	2	16	no	—
896	#41	—	2	8	no	—
897	#41	—	2	4	no	—
898	#41	—	2	4	no	—
899	#41	—	2	2	no	—
900	#41	—	2	2	no	—
901	#41	—	2	2	no	—
902	#41	C₁₁×#41	1	4	yes	—
903	C₂×Q₈	—	2	8	no	—
904	C₂×Q₈	—	2	4	no	—
905	C₂×Q₈	—	2	4	no	—
906	C₂×Q₈	—	2	2	no	—
907	C₂×Q₈	—	2	1	no	—
908	C₂×Q₈	—	2	1	no	—
909	C₂×Q₈	—	2	1	no	—
910	C₂×Q₈	—	2	1	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	C₁₁×#41	1	4	yes	—
916	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
917	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
918	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	2	1	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	1	no	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	2	2	no	—
926	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
927	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
928	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
929	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	1	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	1	no	—
934	C₂²×C₄	—	2	1	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	—	2	1	no	—
937	C₂²×C₄	—	2	1	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	2	1	no	—
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
943	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
944	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
945	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
946	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
947	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
948	Q₁₆	—	2	4	no	—
949	Q₁₆	—	2	4	no	—
950	Q₁₆	—	2	4	no	—
951	SD₁₆	—	2	4	no	—
952	SD₁₆	—	2	4	no	—
953	SD₁₆	—	2	4	no	—
954	SD₁₆	—	2	4	no	—
955	D₈	—	2	4	no	—
956	M₁₆	—	2	2	no	—
957	M₁₆	—	2	2	no	—
958	C₂×C₈	—	2	2	no	—
959	C₂×C₈	—	2	2	no	—
960	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
961	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
962	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
963	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
964	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
965	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
986	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
987	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
988	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
989	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
990	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
991	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
992	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
993	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
994	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
995	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
996	C₂²⋊C₄	—	2	1	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	1	no	—
999	C₂²⋊C₄	—	2	1	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	2	no	—
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	2	no	—
1008	C₂²⋊C₄	—	2	1	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	1	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1014	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1015	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1016	C₄²	—	2	2	no	—
1017	C₄²	—	2	1	no	—
1018	C₄²	—	2	2	no	—
1019	C₄²	—	2	1	no	—
1020	C₄²	—	2	2	no	—
1021	C₄²	—	2	2	no	—
1022	C₄²	—	2	2	no	—
1023	C₄²	—	2	2	no	—
1024	C₄²	—	2	1	no	—
1025	C₄²	—	2	2	no	—
1026	C₄²	—	2	2	no	—
1027	C₄²	—	2	1	no	—
1028	C₄²	—	2	1	no	—
1029	C₄²	C₂×D₄×C₁₁	1	2	yes	—
1030	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1031	C₄²	C₂×D₄×C₁₁	1	2	yes	—
1032	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1033	C₄²	C₂⁴×C₁₁	1	2	yes	—
1034	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1035	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1036	C₁₁	#60595	1	1	yes	characteristic, direct product factor, Sylow
1037	C₂³	—	2	1	no	—
1038	C₂³	—	2	2	no	—
1039	C₂³	—	4	2	no	—
1040	C₂³	—	8	1	no	—
1041	C₂³	—	8	1	no	—
1042	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
1043	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1044	Q₈	—	2	8	no	—
1045	Q₈	—	2	2	no	—
1046	Q₈	—	2	4	no	—
1047	Q₈	—	2	1	no	—
1048	Q₈	—	2	2	no	—
1049	Q₈	—	2	2	no	—
1050	Q₈	—	2	2	no	—
1051	Q₈	—	4	2	no	—
1052	Q₈	—	8	1	no	—
1053	Q₈	—	8	1	no	—
1054	Q₈	C₂×C₁₁×#41	1	2	yes	—
1055	Q₈	C₂×C₁₁×#41	1	4	yes	—
1056	D₄	—	2	8	no	—
1057	D₄	—	2	4	no	—
1058	D₄	—	2	4	no	—
1059	D₄	—	2	2	no	—
1060	D₄	—	2	1	no	—
1061	D₄	—	2	2	no	—
1062	D₄	—	2	2	no	—
1063	D₄	—	4	2	no	—
1064	D₄	—	8	2	no	—
1065	D₄	—	8	2	no	—
1066	D₄	C₂×C₁₁×#41	1	2	yes	—
1067	C₂×C₄	—	2	8	no	—
1068	C₂×C₄	—	2	8	no	—
1069	C₂×C₄	—	2	4	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	4	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	4	2	no	—
1084	C₂×C₄	—	4	1	no	—
1085	C₂×C₄	—	4	2	no	—
1086	C₂×C₄	—	4	1	no	—
1087	C₂×C₄	—	4	2	no	—
1088	C₂×C₄	—	4	2	no	—
1089	C₂×C₄	—	8	2	no	—
1090	C₂×C₄	—	8	2	no	—
1091	C₂×C₄	—	8	1	no	—
1092	C₂×C₄	—	8	2	no	—
1093	C₂×C₄	—	8	1	no	—
1094	C₂×C₄	—	8	2	no	—
1095	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1096	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1097	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1098	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1099	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1100	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1101	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1102	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1103	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
1104	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
1105	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
1106	C₈	—	2	1	no	—
1107	C₈	—	2	1	no	—
1108	C₈	—	2	1	no	—
1109	C₈	—	2	1	no	—
1110	C₈	—	2	2	no	—
1111	C₈	—	2	2	no	—
1112	C₂²	—	2	1	no	—
1113	C₂²	—	2	1	no	—
1114	C₂²	—	2	2	no	—
1115	C₂²	—	2	2	no	—
1116	C₂²	—	2	2	no	—
1117	C₂²	—	2	2	no	—
1118	C₂²	—	4	1	no	—
1119	C₂²	—	4	1	no	—
1120	C₂²	—	4	2	no	—
1121	C₂²	—	4	2	no	—
1122	C₂²	—	4	2	no	—
1123	C₂²	—	16	2	no	—
1124	C₂²	C₁₁×#525	1	2	yes	—
1125	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
1126	C₄	—	2	4	no	—
1127	C₄	—	2	2	no	—
1128	C₄	—	2	2	no	—
1129	C₄	—	2	1	no	—
1130	C₄	—	2	2	no	—
1131	C₄	—	2	1	no	—
1132	C₄	—	2	1	no	—
1133	C₄	—	2	2	no	—
1134	C₄	—	2	1	no	—
1135	C₄	—	4	2	no	—
1136	C₄	—	4	2	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	1	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	1	no	—
1142	C₄	—	4	1	no	—
1143	C₄	C₁₁×#525	1	2	yes	—
1144	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
1145	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
1146	C₂	—	2	2	no	—
1147	C₂	—	4	2	no	—
1148	C₂	—	4	2	no	—
1149	C₂	—	8	2	no	—
1150	C₂	C₂×C₁₁×#525	1	1	yes	characteristic
1151	C₂	C₁₁×#3584	1	1	yes	characteristic
1152	C₂	C₁₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
prime radical	C₁₁×#3010	C₂
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×#3510	C₂	semidirect
2. C₄×C₁₁×2₋¹⁺⁴	C₂	semidirect
3. C₁₁×#3125	C₂	semidirect
4. C₁₁×#3124	C₂	semidirect
5. C₁₁×#3121	C₂	semidirect
6. C₁₁×#3121	C₂	semidirect
7. C₁₁×#3117	C₂	semidirect
8. C₁₁×#3111	C₂	semidirect
9. C₁₁×#3108	C₂	semidirect
10. C₁₁×#3102	C₂	semidirect
11. C₁₁×#3097	C₂	semidirect
12. C₁₁×#3096	C₂	semidirect
13. C₁₁×#3078	C₂	semidirect
14. C₁₁×#3076	C₂	semidirect
15. C₁₁×#3040	C₂	semidirect
16. C₂×C₁₁×#464	C₂	semidirect
17. C₁₁×#3011	C₂	semidirect
19. C₁₁×#2950	C₂	semidirect
20. C₁₁×#2949	C₂	semidirect
21. C₁₁×#2947	C₂	semidirect
22. C₁₁×#2946	C₂	semidirect
23. C₁₁×#2925	C₂	semidirect
47. C₁₁×#520	C₂²	semidirect
51. C₁₁×#519	C₂²	semidirect
57. C₄×C₁₁×#41	C₂²	semidirect
60. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
61. C₁₁×#485	C₂²	semidirect
62. C₁₁×#485	C₂²	semidirect
63. C₁₁×#484	C₂²	semidirect
64. C₁₁×#483	C₂²	semidirect
69. C₁₁×#479	C₂²	semidirect
70. C₁₁×#479	C₂²	semidirect
71. C₁₁×#479	C₂²	semidirect
72. C₁₁×#479	C₂²	semidirect
73. C₁₁×#478	C₂²	semidirect
74. C₁₁×#478	C₂²	semidirect
75. C₁₁×#477	C₂²	semidirect
76. C₁₁×#477	C₂²	semidirect
77. C₁₁×#476	C₂²	semidirect
78. C₁₁×#475	C₂²	semidirect
79. C₁₁×#475	C₂²	semidirect
80. C₁₁×#474	C₂²	semidirect
89. C₁₁×#452	C₂²	semidirect
90. C₁₁×#452	C₂²	semidirect
91. C₁₁×#451	C₂²	semidirect
92. C₁₁×#451	C₂²	semidirect
98. C₁₁×#441	C₂²	semidirect
99. C₁₁×#441	C₂²	semidirect
100. C₁₁×#441	C₂²	semidirect
104. C₁₁×#440	C₂²	semidirect
105. C₄×C₁₁×Q₁₆	C₂²	semidirect
106. C₄×C₁₁×Q₁₆	C₂²	semidirect
107. C₄×C₁₁×Q₁₆	C₂²	semidirect
111. C₄×C₁₁×SD₁₆	C₂²	semidirect
113. C₁₁×#433	C₂²	semidirect
114. C₁₁×#433	C₂²	semidirect
115. C₁₁×#432	C₂²	semidirect
116. C₁₁×#431	C₂²	semidirect
318. #60595	C₁₁	direct (N × H)
461. #3510	C₂×C₁₁	semidirect
462. C₄×2₋¹⁺⁴	C₂×C₁₁	semidirect
463. #3125	C₂×C₁₁	semidirect
464. #3124	C₂×C₁₁	semidirect
465. #3121	C₂×C₁₁	semidirect
466. #3121	C₂×C₁₁	semidirect
467. #3117	C₂×C₁₁	semidirect
468. #3111	C₂×C₁₁	semidirect
469. #3108	C₂×C₁₁	semidirect
470. #3102	C₂×C₁₁	semidirect
471. #3097	C₂×C₁₁	semidirect
472. #3096	C₂×C₁₁	semidirect
473. #3078	C₂×C₁₁	semidirect
474. #3076	C₂×C₁₁	semidirect
475. #3040	C₂×C₁₁	semidirect
476. C₂×#464	C₂×C₁₁	semidirect
477. #3011	C₂×C₁₁	semidirect
479. #2950	C₂×C₁₁	semidirect
480. #2949	C₂×C₁₁	semidirect
481. #2947	C₂×C₁₁	semidirect
482. #2946	C₂×C₁₁	semidirect
483. #2925	C₂×C₁₁	semidirect
582. #520	C₂²×C₁₁	semidirect
586. #519	C₂²×C₁₁	semidirect
592. C₄×#41	C₂²×C₁₁	semidirect
595. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
596. #485	C₂²×C₁₁	semidirect
597. #485	C₂²×C₁₁	semidirect
598. #484	C₂²×C₁₁	semidirect
599. #483	C₂²×C₁₁	semidirect
604. #479	C₂²×C₁₁	semidirect
605. #479	C₂²×C₁₁	semidirect
606. #479	C₂²×C₁₁	semidirect
607. #479	C₂²×C₁₁	semidirect
608. #478	C₂²×C₁₁	semidirect
609. #478	C₂²×C₁₁	semidirect
610. #477	C₂²×C₁₁	semidirect
611. #477	C₂²×C₁₁	semidirect
612. #476	C₂²×C₁₁	semidirect
613. #475	C₂²×C₁₁	semidirect
614. #475	C₂²×C₁₁	semidirect
615. #474	C₂²×C₁₁	semidirect
624. #452	C₂²×C₁₁	semidirect
625. #452	C₂²×C₁₁	semidirect
626. #451	C₂²×C₁₁	semidirect
627. #451	C₂²×C₁₁	semidirect
633. #441	C₂²×C₁₁	semidirect
634. #441	C₂²×C₁₁	semidirect
635. #441	C₂²×C₁₁	semidirect
639. #440	C₂²×C₁₁	semidirect
640. C₄×Q₁₆	C₂²×C₁₁	semidirect
641. C₄×Q₁₆	C₂²×C₁₁	semidirect
642. C₄×Q₁₆	C₂²×C₁₁	semidirect
646. C₄×SD₁₆	C₂²×C₁₁	semidirect
648. #433	C₂²×C₁₁	semidirect
649. #433	C₂²×C₁₁	semidirect
650. #432	C₂²×C₁₁	semidirect
651. #431	C₂²×C₁₁	semidirect
1036. C₁₁	#60595	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×#3510	2
C₄×C₁₁×2₋¹⁺⁴	2
C₁₁×#3125	2
C₁₁×#3124	2
C₁₁×#3121	2
C₁₁×#3117	2
C₁₁×#3111	2
C₁₁×#3108	2
C₁₁×#3102	2
C₁₁×#3097	2
C₁₁×#3096	2
C₁₁×#3078	2
C₁₁×#3076	2
C₁₁×#3040	2
C₂×C₁₁×#464	2
C₁₁×#3011	2
C₁₁×#3010	2
C₁₁×#2950	2
C₁₁×#2949	2
C₁₁×#2947	2
C₁₁×#2946	2
C₁₁×#2925	2
#60595	11

Subgroups — C11×#60595 #14637788

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60595 #14637788