Subgroups — C₁₁×#60593 #14637786

Order 2816.

2110 conjugacy classes of subgroups.

The subgroup lattice has 916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3508	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×C₁₁×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3126	C₂	1	4	yes	maximal, complemented
4	C₁₁×#3119	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3115	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3112	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3106	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3103	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3096	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3078	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3076	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3038	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₁₁×#460	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3010	C₂	1	2	yes	maximal, complemented
15	C₁₁×#2949	C₂	1	2	yes	maximal, complemented
16	C₁₁×#2946	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2925	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
19	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	—
20	C₂²×C₁₁×SD₁₆	C₂²	1	2	yes	—
21	C₁₁×#559	—	2	1	no	—
22	C₁₁×#559	—	2	1	no	—
23	C₁₁×#550	—	2	1	no	—
24	C₁₁×#550	—	2	1	no	—
25	C₁₁×#546	—	2	2	no	—
26	C₁₁×#546	—	2	2	no	—
27	C₁₁×#540	C₂²	1	4	yes	—
28	C₁₁×#535	C₂²	1	2	yes	—
29	C₁₁×#533	C₂²	1	1	yes	characteristic
30	C₁₁×#532	C₂²	1	2	yes	—
31	C₁₁×#532	C₂²	1	2	yes	—
32	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic
33	C₁₁×#520	—	2	2	no	—
34	C₁₁×#520	—	2	1	no	—
35	C₁₁×#520	C₂²	1	1	yes	characteristic
36	C₁₁×#520	C₂²	1	1	yes	characteristic
37	C₁₁×#520	C₂²	1	2	yes	complemented
38	C₁₁×#519	—	2	1	no	—
39	C₁₁×#519	C₂²	1	1	yes	characteristic
40	C₁₁×#519	C₂²	1	2	yes	complemented
41	C₁₁×#518	C₂²	1	2	yes	—
42	C₄×C₁₁×#41	—	2	2	no	—
43	C₄×C₁₁×#41	—	2	1	no	—
44	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
45	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
46	C₄×C₁₁×#41	C₂²	1	2	yes	complemented
47	C₂×C₄×Q₈×C₁₁	—	2	1	no	—
48	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
49	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	complemented
50	C₁₁×#482	C₂²	1	4	yes	complemented
51	C₁₁×#482	C₂²	1	4	yes	complemented
52	C₁₁×#481	C₂²	1	4	yes	complemented
53	C₁₁×#480	C₂²	1	4	yes	complemented
54	C₁₁×#479	C₂²	1	2	yes	complemented
55	C₁₁×#479	C₂²	1	4	yes	complemented
56	C₁₁×#478	C₂²	1	2	yes	complemented
57	C₁₁×#477	C₂²	1	1	yes	characteristic, complemented
58	C₁₁×#477	C₂²	1	2	yes	complemented
59	C₁₁×#476	C₂²	1	1	yes	characteristic, complemented
60	C₁₁×#475	C₂²	1	1	yes	characteristic, complemented
61	C₁₁×#475	C₂²	1	2	yes	complemented
62	C₁₁×#474	C₂²	1	1	yes	characteristic, complemented
63	C₁₁×#460	C₂²	1	2	yes	—
64	C₁₁×#460	C₂²	1	2	yes	—
65	C₁₁×#460	C₂²	1	4	yes	—
66	C₁₁×#460	C₂²	1	2	yes	—
67	C₁₁×#460	C₂²	1	2	yes	—
68	C₁₁×#459	C₂²	1	2	yes	—
69	C₁₁×#459	C₂²	1	2	yes	—
70	C₁₁×#449	C₂²	1	4	yes	complemented
71	C₁₁×#449	C₂²	1	4	yes	complemented
72	C₁₁×#448	C₂²	1	4	yes	complemented
73	C₁₁×#448	C₂²	1	4	yes	complemented
74	C₁₁×#442	C₂²	1	4	yes	complemented
75	C₁₁×#440	C₂²	1	4	yes	complemented
76	C₁₁×#440	C₂²	1	4	yes	complemented
77	C₁₁×#440	C₂²	1	4	yes	complemented
78	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
79	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
80	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
81	C₄×C₁₁×D₈	C₂²	1	4	yes	complemented
82	C₁₁×#433	C₂²	1	4	yes	complemented
83	C₁₁×#432	C₂²	1	2	yes	complemented
84	C₁₁×#431	C₂²	1	2	yes	complemented
85	C₁₁×#428	C₂²	1	2	yes	—
86	C₁₁×#427	C₂²	1	2	yes	—
87	C₁₁×#423	C₂²	1	1	yes	characteristic
88	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
89	C₁₁×#419	C₂²	1	2	yes	—
90	C₁₁×#418	C₂²	1	2	yes	—
91	C₁₁×#416	C₂²	1	2	yes	—
92	C₂×C₁₁×#102	C₂²	1	2	yes	—
93	C₁₁×#408	C₂²	1	2	yes	—
94	C₁₁×#405	C₂²	1	2	yes	—
95	C₁₁×2₋¹⁺⁴	—	2	4	no	—
96	C₁₁×2₋¹⁺⁴	—	2	4	no	—
97	C₂×C₁₁×#41	—	2	2	no	—
98	C₂×C₁₁×#41	—	2	1	no	—
99	C₂×C₁₁×#41	—	2	2	no	—
100	C₂×C₁₁×#41	—	2	2	no	—
101	C₂×C₁₁×#41	C₂³	1	2	yes	—
102	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
103	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
104	C₂²×Q₈×C₁₁	—	2	1	no	—
105	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
106	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
107	C₂²×D₄×C₁₁	—	2	1	no	—
108	C₂²×D₄×C₁₁	—	2	1	no	—
109	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
110	C₁₁×AGL(1,ℤ/8)	—	2	8	no	—
111	C₂×C₁₁×SD₁₆	—	2	8	no	—
112	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
113	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
114	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
115	C₂×C₁₁×D₈	C₂³	1	4	yes	—
116	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
117	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
118	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
119	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
120	C₁₁×#127	—	2	2	no	—
121	C₁₁×#127	—	2	1	no	—
122	C₁₁×#127	—	2	1	no	—
123	C₁₁×#127	C₂³	1	2	yes	—
124	C₁₁×#127	C₂³	1	2	yes	—
125	C₁₁×#125	C₂³	1	2	yes	—
126	C₁₁×#124	—	2	2	no	—
127	C₁₁×#124	—	2	2	no	—
128	C₁₁×#124	—	2	2	no	—
129	C₁₁×#123	—	2	4	no	—
130	C₁₁×#123	—	2	4	no	—
131	C₁₁×C₂²⋊Q₈	—	2	1	no	—
132	C₁₁×C₂²⋊Q₈	—	2	1	no	—
133	C₁₁×#121	—	2	2	no	—
134	C₁₁×#121	—	2	2	no	—
135	C₁₁×#121	—	2	4	no	—
136	C₁₁×#121	—	2	4	no	—
137	C₁₁×#121	C₂³	1	4	yes	—
138	C₁₁×#121	C₂³	1	4	yes	—
139	C₁₁×#120	—	2	4	no	—
140	C₄×Q₈×C₁₁	—	2	1	no	—
141	C₄×Q₈×C₁₁	—	2	1	no	—
142	C₄×Q₈×C₁₁	—	2	2	no	—
143	C₄×Q₈×C₁₁	—	2	1	no	—
144	C₄×Q₈×C₁₁	—	2	2	no	—
145	C₄×Q₈×C₁₁	—	2	1	no	—
146	C₄×Q₈×C₁₁	—	2	2	no	—
147	C₄×Q₈×C₁₁	—	2	1	no	—
148	C₄×Q₈×C₁₁	—	2	2	no	—
149	C₄×Q₈×C₁₁	—	2	1	no	—
150	C₄×Q₈×C₁₁	—	2	1	no	—
151	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
152	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
153	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
154	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
155	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
156	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
157	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
158	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
159	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
160	C₄×D₄×C₁₁	—	2	2	no	—
161	C₄×D₄×C₁₁	—	2	1	no	—
162	C₄×D₄×C₁₁	—	2	1	no	—
163	C₄×D₄×C₁₁	—	2	2	no	—
164	C₄×D₄×C₁₁	—	2	1	no	—
165	C₄×D₄×C₁₁	—	2	2	no	—
166	C₄×D₄×C₁₁	—	2	2	no	—
167	C₄×D₄×C₁₁	—	2	2	no	—
168	C₄×D₄×C₁₁	—	2	2	no	—
169	C₄×D₄×C₁₁	—	2	2	no	—
170	C₄×D₄×C₁₁	—	2	2	no	—
171	C₄×D₄×C₁₁	—	2	2	no	—
172	C₄×D₄×C₁₁	—	2	2	no	—
173	C₄×D₄×C₁₁	D₄	1	2	yes	—
174	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
175	C₄×D₄×C₁₁	D₄	1	2	yes	—
176	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
177	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
178	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
179	C₄×D₄×C₁₁	C₂³	1	2	yes	—
180	C₄×D₄×C₁₁	C₂³	1	4	yes	—
181	C₄×D₄×C₁₁	C₂³	1	4	yes	—
182	C₁₁×#117	—	2	1	no	—
183	C₁₁×#117	—	2	2	no	—
184	C₁₁×#117	—	2	2	no	—
185	C₁₁×#117	—	2	2	no	—
186	C₁₁×#117	—	2	2	no	—
187	C₁₁×#117	—	2	1	no	—
188	C₁₁×#117	—	2	2	no	—
189	C₁₁×#117	C₂³	1	1	yes	characteristic
190	C₁₁×#117	C₂³	1	2	yes	—
191	C₁₁×#117	C₂³	1	2	yes	—
192	C₁₁×#117	C₂³	1	1	yes	characteristic
193	C₁₁×#117	C₂³	1	2	yes	—
194	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
195	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
196	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
197	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
198	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
200	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
201	C₂×C₄²×C₁₁	—	2	1	no	—
202	C₂×C₄²×C₁₁	—	2	2	no	—
203	C₂×C₄²×C₁₁	—	2	1	no	—
204	C₂×C₄²×C₁₁	—	2	2	no	—
205	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
207	C₁₁×#107	C₂³	1	2	yes	—
208	C₁₁×#107	C₂³	1	2	yes	—
209	C₁₁×#107	C₂³	1	4	yes	—
210	C₁₁×#106	C₂³	1	2	yes	—
211	C₁₁×#106	C₂³	1	2	yes	—
212	C₁₁×#106	C₂³	1	4	yes	—
213	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
214	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
215	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
216	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
217	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
218	C₁₁×#103	C₂³	1	2	yes	—
219	C₁₁×#103	C₂³	1	2	yes	—
220	C₁₁×#103	C₂³	1	4	yes	—
221	C₁₁×#103	C₂³	1	4	yes	—
222	C₁₁×#102	C₂³	1	4	yes	—
223	C₁₁×#102	C₂³	1	4	yes	—
224	C₁₁×#102	C₂³	1	2	yes	—
225	C₁₁×#102	C₂³	1	2	yes	—
226	C₁₁×#102	C₂³	1	4	yes	—
227	C₁₁×#102	C₂³	1	4	yes	—
228	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
229	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
230	C₁₁×#97	C₂³	1	4	yes	—
231	C₄×C₈×C₁₁	C₂³	1	4	yes	—
232	#60593	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
233	C₂⁴×C₁₁	—	2	2	no	—
234	C₁₁×#41	—	2	16	no	—
235	C₁₁×#41	—	2	8	no	—
236	C₁₁×#41	—	2	4	no	—
237	C₁₁×#41	—	2	4	no	—
238	C₁₁×#41	—	2	2	no	—
239	C₁₁×#41	—	2	2	no	—
240	C₁₁×#41	—	2	2	no	—
241	C₁₁×#41	—	8	4	no	—
242	C₁₁×#41	—	8	4	no	—
243	C₁₁×#41	#41	1	4	yes	complemented
244	C₂×Q₈×C₁₁	—	2	8	no	—
245	C₂×Q₈×C₁₁	—	2	4	no	—
246	C₂×Q₈×C₁₁	—	2	4	no	—
247	C₂×Q₈×C₁₁	—	2	2	no	—
248	C₂×Q₈×C₁₁	—	2	1	no	—
249	C₂×Q₈×C₁₁	—	2	1	no	—
250	C₂×Q₈×C₁₁	—	2	1	no	—
251	C₂×Q₈×C₁₁	—	2	2	no	—
252	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
253	C₂×Q₈×C₁₁	#41	1	4	yes	complemented
254	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
255	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
256	C₂×D₄×C₁₁	—	2	2	no	—
257	C₂×D₄×C₁₁	—	2	1	no	—
258	C₂×D₄×C₁₁	—	2	4	no	—
259	C₂×D₄×C₁₁	—	2	4	no	—
260	C₂×D₄×C₁₁	—	2	2	no	—
261	C₂×D₄×C₁₁	—	2	2	no	—
262	C₂×D₄×C₁₁	—	2	2	no	—
263	C₂×D₄×C₁₁	—	2	2	no	—
264	C₂×D₄×C₁₁	—	2	2	no	—
265	C₂×D₄×C₁₁	—	2	4	no	—
266	C₂×D₄×C₁₁	—	2	4	no	—
267	C₂×D₄×C₁₁	—	8	2	no	—
268	C₂×D₄×C₁₁	—	8	2	no	—
269	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
270	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
271	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
272	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
273	C₂²×C₄×C₁₁	—	2	2	no	—
274	C₂²×C₄×C₁₁	—	2	1	no	—
275	C₂²×C₄×C₁₁	—	2	2	no	—
276	C₂²×C₄×C₁₁	—	2	1	no	—
277	C₂²×C₄×C₁₁	—	2	2	no	—
278	C₂²×C₄×C₁₁	—	2	1	no	—
279	C₂²×C₄×C₁₁	—	2	1	no	—
280	C₂²×C₄×C₁₁	—	2	2	no	—
281	C₂²×C₄×C₁₁	—	2	1	no	—
282	C₂²×C₄×C₁₁	—	2	4	no	—
283	C₂²×C₄×C₁₁	—	2	4	no	—
284	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
285	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
286	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
287	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
288	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
289	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
290	C₁₁×SD₁₆	—	2	8	no	—
291	C₁₁×SD₁₆	—	2	8	no	—
292	C₁₁×SD₁₆	—	2	8	no	—
293	C₁₁×D₈	—	2	8	no	—
294	C₁₁×M₁₆	—	2	4	no	—
295	C₂×C₈×C₁₁	—	2	4	no	—
296	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
297	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
298	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
299	C₁₁×C₄⋊C₄	—	2	2	no	—
300	C₁₁×C₄⋊C₄	—	2	2	no	—
301	C₁₁×C₄⋊C₄	—	2	2	no	—
302	C₁₁×C₄⋊C₄	—	2	2	no	—
303	C₁₁×C₄⋊C₄	—	2	1	no	—
304	C₁₁×C₄⋊C₄	—	2	2	no	—
305	C₁₁×C₄⋊C₄	—	2	1	no	—
306	C₁₁×C₄⋊C₄	—	2	2	no	—
307	C₁₁×C₄⋊C₄	—	2	1	no	—
308	C₁₁×C₄⋊C₄	—	2	1	no	—
309	C₁₁×C₄⋊C₄	—	2	1	no	—
310	C₁₁×C₄⋊C₄	—	2	2	no	—
311	C₁₁×C₄⋊C₄	—	2	2	no	—
312	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
313	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
314	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
315	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
316	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
317	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
318	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
319	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
320	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
321	C₁₁×C₂²⋊C₄	—	2	2	no	—
322	C₁₁×C₂²⋊C₄	—	2	2	no	—
323	C₁₁×C₂²⋊C₄	—	2	1	no	—
324	C₁₁×C₂²⋊C₄	—	2	4	no	—
325	C₁₁×C₂²⋊C₄	—	2	4	no	—
326	C₁₁×C₂²⋊C₄	—	2	1	no	—
327	C₁₁×C₂²⋊C₄	—	2	2	no	—
328	C₁₁×C₂²⋊C₄	—	2	1	no	—
329	C₁₁×C₂²⋊C₄	—	2	4	no	—
330	C₁₁×C₂²⋊C₄	—	2	4	no	—
331	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
332	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
333	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
334	C₄²×C₁₁	—	2	2	no	—
335	C₄²×C₁₁	—	2	1	no	—
336	C₄²×C₁₁	—	2	2	no	—
337	C₄²×C₁₁	—	2	1	no	—
338	C₄²×C₁₁	—	2	2	no	—
339	C₄²×C₁₁	—	2	2	no	—
340	C₄²×C₁₁	—	2	2	no	—
341	C₄²×C₁₁	—	2	2	no	—
342	C₄²×C₁₁	—	2	1	no	—
343	C₄²×C₁₁	—	2	2	no	—
344	C₄²×C₁₁	C₂×D₄	1	2	yes	—
345	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
346	C₄²×C₁₁	C₂×D₄	1	2	yes	—
347	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
348	C₄²×C₁₁	C₂⁴	1	2	yes	—
349	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
350	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
351	#3508	C₂×C₁₁	1	1	yes	characteristic, complemented
352	C₄×2₋¹⁺⁴	C₂×C₁₁	1	1	yes	characteristic, complemented
353	#3126	C₂×C₁₁	1	4	yes	complemented
354	#3119	C₂×C₁₁	1	4	yes	complemented
355	#3115	C₂×C₁₁	1	2	yes	complemented
356	#3112	C₂×C₁₁	1	2	yes	complemented
357	#3106	C₂×C₁₁	1	2	yes	complemented
358	#3103	C₂×C₁₁	1	2	yes	complemented
359	#3096	C₂×C₁₁	1	2	yes	complemented
360	#3078	C₂×C₁₁	1	1	yes	characteristic, complemented
361	#3076	C₂×C₁₁	1	1	yes	characteristic, complemented
362	#3038	C₂×C₁₁	1	1	yes	characteristic, complemented
363	C₂×#460	C₂×C₁₁	1	1	yes	characteristic, complemented
364	#3010	C₂×C₁₁	1	2	yes	complemented
365	#2949	C₂×C₁₁	1	2	yes	complemented
366	#2946	C₂×C₁₁	1	2	yes	complemented
367	#2925	C₂×C₁₁	1	1	yes	characteristic, complemented
368	C₂³×C₁₁	—	2	1	no	—
369	C₂³×C₁₁	—	2	4	no	—
370	C₂³×C₁₁	—	4	4	no	—
371	C₂³×C₁₁	—	8	2	no	—
372	C₂³×C₁₁	—	8	2	no	—
373	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
374	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
375	Q₈×C₁₁	—	2	8	no	—
376	Q₈×C₁₁	—	2	2	no	—
377	Q₈×C₁₁	—	2	4	no	—
378	Q₈×C₁₁	—	2	1	no	—
379	Q₈×C₁₁	—	2	2	no	—
380	Q₈×C₁₁	—	4	2	no	—
381	Q₈×C₁₁	—	4	2	no	—
382	Q₈×C₁₁	C₂×#41	1	2	yes	—
383	Q₈×C₁₁	C₂×#41	1	4	yes	—
384	D₄×C₁₁	—	2	8	no	—
385	D₄×C₁₁	—	2	4	no	—
386	D₄×C₁₁	—	2	4	no	—
387	D₄×C₁₁	—	2	2	no	—
388	D₄×C₁₁	—	2	1	no	—
389	D₄×C₁₁	—	2	4	no	—
390	D₄×C₁₁	—	2	4	no	—
391	D₄×C₁₁	—	4	4	no	—
392	D₄×C₁₁	—	4	4	no	—
393	D₄×C₁₁	—	4	4	no	—
394	D₄×C₁₁	—	8	2	no	—
395	D₄×C₁₁	—	8	2	no	—
396	D₄×C₁₁	—	8	4	no	—
397	D₄×C₁₁	—	8	4	no	—
398	D₄×C₁₁	C₂×#41	1	2	yes	—
399	C₂×C₄×C₁₁	—	2	8	no	—
400	C₂×C₄×C₁₁	—	2	8	no	—
401	C₂×C₄×C₁₁	—	2	4	no	—
402	C₂×C₄×C₁₁	—	2	2	no	—
403	C₂×C₄×C₁₁	—	2	1	no	—
404	C₂×C₄×C₁₁	—	2	4	no	—
405	C₂×C₄×C₁₁	—	2	2	no	—
406	C₂×C₄×C₁₁	—	2	4	no	—
407	C₂×C₄×C₁₁	—	2	2	no	—
408	C₂×C₄×C₁₁	—	2	2	no	—
409	C₂×C₄×C₁₁	—	2	1	no	—
410	C₂×C₄×C₁₁	—	2	2	no	—
411	C₂×C₄×C₁₁	—	2	1	no	—
412	C₂×C₄×C₁₁	—	2	2	no	—
413	C₂×C₄×C₁₁	—	2	2	no	—
414	C₂×C₄×C₁₁	—	4	1	no	—
415	C₂×C₄×C₁₁	—	4	2	no	—
416	C₂×C₄×C₁₁	—	4	2	no	—
417	C₂×C₄×C₁₁	—	8	2	no	—
418	C₂×C₄×C₁₁	—	8	1	no	—
419	C₂×C₄×C₁₁	—	8	4	no	—
420	C₂×C₄×C₁₁	—	8	4	no	—
421	C₂×C₄×C₁₁	—	8	1	no	—
422	C₂×C₄×C₁₁	—	8	2	no	—
423	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
424	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
425	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
426	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
427	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
428	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
429	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
430	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
431	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
432	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
433	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
434	C₈×C₁₁	—	2	2	no	—
435	C₈×C₁₁	—	2	2	no	—
436	C₈×C₁₁	—	2	4	no	—
437	C₂×2₋¹⁺⁴	C₂²×C₁₁	1	1	yes	characteristic
438	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	—
439	C₂²×SD₁₆	C₂²×C₁₁	1	2	yes	—
440	#559	—	2	1	no	—
441	#559	—	2	1	no	—
442	#550	—	2	1	no	—
443	#550	—	2	1	no	—
444	#546	—	2	2	no	—
445	#546	—	2	2	no	—
446	#540	C₂²×C₁₁	1	4	yes	—
447	#535	C₂²×C₁₁	1	2	yes	—
448	#533	C₂²×C₁₁	1	1	yes	characteristic
449	#532	C₂²×C₁₁	1	2	yes	—
450	#532	C₂²×C₁₁	1	2	yes	—
451	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
452	#520	—	2	2	no	—
453	#520	—	2	1	no	—
454	#520	C₂²×C₁₁	1	1	yes	characteristic
455	#520	C₂²×C₁₁	1	1	yes	characteristic
456	#520	C₂²×C₁₁	1	2	yes	complemented
457	#519	—	2	1	no	—
458	#519	C₂²×C₁₁	1	1	yes	characteristic
459	#519	C₂²×C₁₁	1	2	yes	complemented
460	#518	C₂²×C₁₁	1	2	yes	—
461	C₄×#41	—	2	2	no	—
462	C₄×#41	—	2	1	no	—
463	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
464	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
465	C₄×#41	C₂²×C₁₁	1	2	yes	complemented
466	C₂×C₄×Q₈	—	2	1	no	—
467	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
468	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	complemented
469	#482	C₂²×C₁₁	1	4	yes	complemented
470	#482	C₂²×C₁₁	1	4	yes	complemented
471	#481	C₂²×C₁₁	1	4	yes	complemented
472	#480	C₂²×C₁₁	1	4	yes	complemented
473	#479	C₂²×C₁₁	1	2	yes	complemented
474	#479	C₂²×C₁₁	1	4	yes	complemented
475	#478	C₂²×C₁₁	1	2	yes	complemented
476	#477	C₂²×C₁₁	1	1	yes	characteristic, complemented
477	#477	C₂²×C₁₁	1	2	yes	complemented
478	#476	C₂²×C₁₁	1	1	yes	characteristic, complemented
479	#475	C₂²×C₁₁	1	1	yes	characteristic, complemented
480	#475	C₂²×C₁₁	1	2	yes	complemented
481	#474	C₂²×C₁₁	1	1	yes	characteristic, complemented
482	#460	C₂²×C₁₁	1	2	yes	—
483	#460	C₂²×C₁₁	1	2	yes	—
484	#460	C₂²×C₁₁	1	2	yes	—
485	#460	C₂²×C₁₁	1	4	yes	—
486	#460	C₂²×C₁₁	1	2	yes	—
487	#459	C₂²×C₁₁	1	2	yes	—
488	#459	C₂²×C₁₁	1	2	yes	—
489	#449	C₂²×C₁₁	1	4	yes	complemented
490	#449	C₂²×C₁₁	1	4	yes	complemented
491	#448	C₂²×C₁₁	1	4	yes	complemented
492	#448	C₂²×C₁₁	1	4	yes	complemented
493	#442	C₂²×C₁₁	1	4	yes	complemented
494	#440	C₂²×C₁₁	1	4	yes	complemented
495	#440	C₂²×C₁₁	1	4	yes	complemented
496	#440	C₂²×C₁₁	1	4	yes	complemented
497	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
498	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
499	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
500	C₄×D₈	C₂²×C₁₁	1	4	yes	complemented
501	#433	C₂²×C₁₁	1	4	yes	complemented
502	#432	C₂²×C₁₁	1	2	yes	complemented
503	#431	C₂²×C₁₁	1	2	yes	complemented
504	#428	C₂²×C₁₁	1	2	yes	—
505	#427	C₂²×C₁₁	1	2	yes	—
506	#423	C₂²×C₁₁	1	1	yes	characteristic
507	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
508	#419	C₂²×C₁₁	1	2	yes	—
509	#418	C₂²×C₁₁	1	2	yes	—
510	#416	C₂²×C₁₁	1	2	yes	—
511	C₂×#102	C₂²×C₁₁	1	2	yes	—
512	#408	C₂²×C₁₁	1	2	yes	—
513	#405	C₂²×C₁₁	1	2	yes	—
514	C₂²×C₁₁	—	2	1	no	—
515	C₂²×C₁₁	—	2	1	no	—
516	C₂²×C₁₁	—	2	2	no	—
517	C₂²×C₁₁	—	2	2	no	—
518	C₂²×C₁₁	—	2	2	no	—
519	C₂²×C₁₁	—	2	2	no	—
520	C₂²×C₁₁	—	4	1	no	—
521	C₂²×C₁₁	—	4	1	no	—
522	C₂²×C₁₁	—	4	4	no	—
523	C₂²×C₁₁	—	4	4	no	—
524	C₂²×C₁₁	—	4	4	no	—
525	C₂²×C₁₁	—	16	4	no	—
526	C₂²×C₁₁	#525	1	2	yes	—
527	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
528	C₄×C₁₁	—	2	1	no	—
529	C₄×C₁₁	—	2	2	no	—
530	C₄×C₁₁	—	2	1	no	—
531	C₄×C₁₁	—	2	4	no	—
532	C₄×C₁₁	—	2	2	no	—
533	C₄×C₁₁	—	2	2	no	—
534	C₄×C₁₁	—	2	2	no	—
535	C₄×C₁₁	—	2	1	no	—
536	C₄×C₁₁	—	4	2	no	—
537	C₄×C₁₁	—	4	1	no	—
538	C₄×C₁₁	—	4	2	no	—
539	C₄×C₁₁	—	4	1	no	—
540	C₄×C₁₁	—	4	2	no	—
541	C₄×C₁₁	#525	1	2	yes	—
542	C₄×C₁₁	#577	1	2	yes	—
543	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
544	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
545	2₋¹⁺⁴	—	2	4	no	—
546	2₋¹⁺⁴	—	2	4	no	—
547	C₂×#41	—	2	2	no	—
548	C₂×#41	—	2	1	no	—
549	C₂×#41	—	2	2	no	—
550	C₂×#41	—	2	2	no	—
551	C₂×#41	C₂³×C₁₁	1	2	yes	—
552	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
553	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
554	C₂²×Q₈	—	2	1	no	—
555	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
556	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
557	C₂²×D₄	—	2	1	no	—
558	C₂²×D₄	—	2	1	no	—
559	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
560	AGL(1,ℤ/8)	—	2	8	no	—
561	C₂×SD₁₆	—	2	8	no	—
562	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
563	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
564	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
565	C₂×D₈	C₂³×C₁₁	1	4	yes	—
566	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
567	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
568	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
569	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
570	#127	—	2	2	no	—
571	#127	—	2	1	no	—
572	#127	—	2	1	no	—
573	#127	C₂³×C₁₁	1	2	yes	—
574	#127	C₂³×C₁₁	1	2	yes	—
575	#125	C₂³×C₁₁	1	2	yes	—
576	#124	—	2	2	no	—
577	#124	—	2	2	no	—
578	#124	—	2	2	no	—
579	#123	—	2	4	no	—
580	#123	—	2	4	no	—
581	C₂²⋊Q₈	—	2	1	no	—
582	C₂²⋊Q₈	—	2	1	no	—
583	#121	—	2	2	no	—
584	#121	—	2	2	no	—
585	#121	—	2	4	no	—
586	#121	—	2	4	no	—
587	#121	C₂³×C₁₁	1	4	yes	—
588	#121	C₂³×C₁₁	1	4	yes	—
589	#120	—	2	4	no	—
590	C₄×Q₈	—	2	1	no	—
591	C₄×Q₈	—	2	1	no	—
592	C₄×Q₈	—	2	2	no	—
593	C₄×Q₈	—	2	1	no	—
594	C₄×Q₈	—	2	2	no	—
595	C₄×Q₈	—	2	1	no	—
596	C₄×Q₈	—	2	2	no	—
597	C₄×Q₈	—	2	1	no	—
598	C₄×Q₈	—	2	2	no	—
599	C₄×Q₈	—	2	1	no	—
600	C₄×Q₈	—	2	1	no	—
601	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
602	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
603	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
604	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
605	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
606	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
607	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
608	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
609	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
610	C₄×D₄	—	2	2	no	—
611	C₄×D₄	—	2	1	no	—
612	C₄×D₄	—	2	1	no	—
613	C₄×D₄	—	2	2	no	—
614	C₄×D₄	—	2	1	no	—
615	C₄×D₄	—	2	2	no	—
616	C₄×D₄	—	2	2	no	—
617	C₄×D₄	—	2	2	no	—
618	C₄×D₄	—	2	2	no	—
619	C₄×D₄	—	2	2	no	—
620	C₄×D₄	—	2	2	no	—
621	C₄×D₄	—	2	2	no	—
622	C₄×D₄	—	2	2	no	—
623	C₄×D₄	D₄×C₁₁	1	2	yes	—
624	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
625	C₄×D₄	D₄×C₁₁	1	2	yes	—
626	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
627	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
628	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
629	C₄×D₄	C₂³×C₁₁	1	2	yes	—
630	C₄×D₄	C₂³×C₁₁	1	4	yes	—
631	C₄×D₄	C₂³×C₁₁	1	4	yes	—
632	#117	—	2	1	no	—
633	#117	—	2	2	no	—
634	#117	—	2	2	no	—
635	#117	—	2	2	no	—
636	#117	—	2	2	no	—
637	#117	—	2	1	no	—
638	#117	—	2	2	no	—
639	#117	C₂³×C₁₁	1	1	yes	characteristic
640	#117	C₂³×C₁₁	1	2	yes	—
641	#117	C₂³×C₁₁	1	2	yes	—
642	#117	C₂³×C₁₁	1	1	yes	characteristic
643	#117	C₂³×C₁₁	1	2	yes	—
644	C₂×C₄⋊C₄	—	2	1	no	—
645	C₂×C₄⋊C₄	—	2	2	no	—
646	C₂×C₄⋊C₄	—	2	1	no	—
647	C₂×C₄⋊C₄	—	2	2	no	—
648	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
650	C₂×C₂²⋊C₄	—	2	4	no	—
651	C₂×C₄²	—	2	1	no	—
652	C₂×C₄²	—	2	2	no	—
653	C₂×C₄²	—	2	1	no	—
654	C₂×C₄²	—	2	2	no	—
655	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
656	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
657	#107	C₂³×C₁₁	1	2	yes	—
658	#107	C₂³×C₁₁	1	2	yes	—
659	#107	C₂³×C₁₁	1	4	yes	—
660	#106	C₂³×C₁₁	1	2	yes	—
661	#106	C₂³×C₁₁	1	2	yes	—
662	#106	C₂³×C₁₁	1	4	yes	—
663	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
664	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
665	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
666	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
667	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
668	#103	C₂³×C₁₁	1	2	yes	—
669	#103	C₂³×C₁₁	1	2	yes	—
670	#103	C₂³×C₁₁	1	4	yes	—
671	#103	C₂³×C₁₁	1	4	yes	—
672	#102	C₂³×C₁₁	1	4	yes	—
673	#102	C₂³×C₁₁	1	4	yes	—
674	#102	C₂³×C₁₁	1	2	yes	—
675	#102	C₂³×C₁₁	1	2	yes	—
676	#102	C₂³×C₁₁	1	4	yes	—
677	#102	C₂³×C₁₁	1	4	yes	—
678	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
679	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
680	#97	C₂³×C₁₁	1	4	yes	—
681	C₄×C₈	C₂³×C₁₁	1	4	yes	—
682	C₂×C₁₁	—	2	2	no	—
683	C₂×C₁₁	—	4	2	no	—
684	C₂×C₁₁	—	4	2	no	—
685	C₂×C₁₁	—	8	4	no	—
686	C₂×C₁₁	C₂×#525	1	1	yes	characteristic
687	C₂×C₁₁	C₂×#577	1	1	yes	characteristic
688	C₂×C₁₁	#3585	1	1	yes	characteristic
689	C₂⁴	—	2	2	no	—
690	#41	—	2	16	no	—
691	#41	—	2	8	no	—
692	#41	—	2	4	no	—
693	#41	—	2	4	no	—
694	#41	—	2	2	no	—
695	#41	—	2	2	no	—
696	#41	—	2	2	no	—
697	#41	—	8	4	no	—
698	#41	—	8	4	no	—
699	#41	C₁₁×#41	1	4	yes	complemented
700	C₂×Q₈	—	2	8	no	—
701	C₂×Q₈	—	2	4	no	—
702	C₂×Q₈	—	2	4	no	—
703	C₂×Q₈	—	2	2	no	—
704	C₂×Q₈	—	2	1	no	—
705	C₂×Q₈	—	2	1	no	—
706	C₂×Q₈	—	2	1	no	—
707	C₂×Q₈	—	2	2	no	—
708	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
709	C₂×Q₈	C₁₁×#41	1	4	yes	complemented
710	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
711	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
712	C₂×D₄	—	2	2	no	—
713	C₂×D₄	—	2	1	no	—
714	C₂×D₄	—	2	4	no	—
715	C₂×D₄	—	2	4	no	—
716	C₂×D₄	—	2	2	no	—
717	C₂×D₄	—	2	2	no	—
718	C₂×D₄	—	2	2	no	—
719	C₂×D₄	—	2	2	no	—
720	C₂×D₄	—	2	2	no	—
721	C₂×D₄	—	2	4	no	—
722	C₂×D₄	—	2	4	no	—
723	C₂×D₄	—	8	2	no	—
724	C₂×D₄	—	8	2	no	—
725	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
726	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
727	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
728	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
729	C₂²×C₄	—	2	2	no	—
730	C₂²×C₄	—	2	1	no	—
731	C₂²×C₄	—	2	2	no	—
732	C₂²×C₄	—	2	1	no	—
733	C₂²×C₄	—	2	2	no	—
734	C₂²×C₄	—	2	1	no	—
735	C₂²×C₄	—	2	1	no	—
736	C₂²×C₄	—	2	2	no	—
737	C₂²×C₄	—	2	1	no	—
738	C₂²×C₄	—	2	4	no	—
739	C₂²×C₄	—	2	4	no	—
740	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
741	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
742	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
743	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
744	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
745	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
746	SD₁₆	—	2	8	no	—
747	SD₁₆	—	2	8	no	—
748	SD₁₆	—	2	8	no	—
749	D₈	—	2	8	no	—
750	M₁₆	—	2	4	no	—
751	C₂×C₈	—	2	4	no	—
752	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
753	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
754	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
755	C₄⋊C₄	—	2	2	no	—
756	C₄⋊C₄	—	2	2	no	—
757	C₄⋊C₄	—	2	2	no	—
758	C₄⋊C₄	—	2	2	no	—
759	C₄⋊C₄	—	2	1	no	—
760	C₄⋊C₄	—	2	2	no	—
761	C₄⋊C₄	—	2	1	no	—
762	C₄⋊C₄	—	2	2	no	—
763	C₄⋊C₄	—	2	1	no	—
764	C₄⋊C₄	—	2	1	no	—
765	C₄⋊C₄	—	2	1	no	—
766	C₄⋊C₄	—	2	2	no	—
767	C₄⋊C₄	—	2	2	no	—
768	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
769	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
770	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
771	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
772	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
773	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
774	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
775	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
776	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
777	C₂²⋊C₄	—	2	2	no	—
778	C₂²⋊C₄	—	2	2	no	—
779	C₂²⋊C₄	—	2	1	no	—
780	C₂²⋊C₄	—	2	4	no	—
781	C₂²⋊C₄	—	2	4	no	—
782	C₂²⋊C₄	—	2	1	no	—
783	C₂²⋊C₄	—	2	2	no	—
784	C₂²⋊C₄	—	2	1	no	—
785	C₂²⋊C₄	—	2	4	no	—
786	C₂²⋊C₄	—	2	4	no	—
787	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
788	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
789	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
790	C₄²	—	2	2	no	—
791	C₄²	—	2	1	no	—
792	C₄²	—	2	2	no	—
793	C₄²	—	2	1	no	—
794	C₄²	—	2	2	no	—
795	C₄²	—	2	2	no	—
796	C₄²	—	2	2	no	—
797	C₄²	—	2	2	no	—
798	C₄²	—	2	1	no	—
799	C₄²	—	2	2	no	—
800	C₄²	C₂×D₄×C₁₁	1	2	yes	—
801	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
802	C₄²	C₂×D₄×C₁₁	1	2	yes	—
803	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
804	C₄²	C₂⁴×C₁₁	1	2	yes	—
805	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
806	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
807	C₁₁	#60593	1	1	yes	characteristic, direct product factor, Sylow
808	C₂³	—	2	1	no	—
809	C₂³	—	2	4	no	—
810	C₂³	—	4	4	no	—
811	C₂³	—	8	2	no	—
812	C₂³	—	8	2	no	—
813	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
814	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
815	Q₈	—	2	8	no	—
816	Q₈	—	2	2	no	—
817	Q₈	—	2	4	no	—
818	Q₈	—	2	1	no	—
819	Q₈	—	2	2	no	—
820	Q₈	—	4	2	no	—
821	Q₈	—	4	2	no	—
822	Q₈	C₂×C₁₁×#41	1	2	yes	—
823	Q₈	C₂×C₁₁×#41	1	4	yes	—
824	D₄	—	2	8	no	—
825	D₄	—	2	4	no	—
826	D₄	—	2	4	no	—
827	D₄	—	2	2	no	—
828	D₄	—	2	1	no	—
829	D₄	—	2	4	no	—
830	D₄	—	2	4	no	—
831	D₄	—	4	4	no	—
832	D₄	—	4	4	no	—
833	D₄	—	4	4	no	—
834	D₄	—	8	2	no	—
835	D₄	—	8	2	no	—
836	D₄	—	8	4	no	—
837	D₄	—	8	4	no	—
838	D₄	C₂×C₁₁×#41	1	2	yes	—
839	C₂×C₄	—	2	8	no	—
840	C₂×C₄	—	2	8	no	—
841	C₂×C₄	—	2	4	no	—
842	C₂×C₄	—	2	2	no	—
843	C₂×C₄	—	2	1	no	—
844	C₂×C₄	—	2	4	no	—
845	C₂×C₄	—	2	2	no	—
846	C₂×C₄	—	2	4	no	—
847	C₂×C₄	—	2	2	no	—
848	C₂×C₄	—	2	2	no	—
849	C₂×C₄	—	2	1	no	—
850	C₂×C₄	—	2	2	no	—
851	C₂×C₄	—	2	1	no	—
852	C₂×C₄	—	2	2	no	—
853	C₂×C₄	—	2	2	no	—
854	C₂×C₄	—	4	1	no	—
855	C₂×C₄	—	4	2	no	—
856	C₂×C₄	—	4	2	no	—
857	C₂×C₄	—	8	2	no	—
858	C₂×C₄	—	8	1	no	—
859	C₂×C₄	—	8	4	no	—
860	C₂×C₄	—	8	4	no	—
861	C₂×C₄	—	8	1	no	—
862	C₂×C₄	—	8	2	no	—
863	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
864	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
865	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
866	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
867	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
868	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
869	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
870	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
871	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
872	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
873	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
874	C₈	—	2	2	no	—
875	C₈	—	2	2	no	—
876	C₈	—	2	4	no	—
877	C₂²	—	2	1	no	—
878	C₂²	—	2	1	no	—
879	C₂²	—	2	2	no	—
880	C₂²	—	2	2	no	—
881	C₂²	—	2	2	no	—
882	C₂²	—	2	2	no	—
883	C₂²	—	4	1	no	—
884	C₂²	—	4	1	no	—
885	C₂²	—	4	4	no	—
886	C₂²	—	4	4	no	—
887	C₂²	—	4	4	no	—
888	C₂²	—	16	4	no	—
889	C₂²	C₁₁×#525	1	2	yes	—
890	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
891	C₄	—	2	4	no	—
892	C₄	—	2	2	no	—
893	C₄	—	2	2	no	—
894	C₄	—	2	2	no	—
895	C₄	—	2	1	no	—
896	C₄	—	2	1	no	—
897	C₄	—	2	2	no	—
898	C₄	—	2	1	no	—
899	C₄	—	4	1	no	—
900	C₄	—	4	2	no	—
901	C₄	—	4	2	no	—
902	C₄	—	4	1	no	—
903	C₄	—	4	2	no	—
904	C₄	C₁₁×#525	1	2	yes	—
905	C₄	C₁₁×#577	1	2	yes	—
906	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
907	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
908	C₂	—	2	2	no	—
909	C₂	—	4	2	no	—
910	C₂	—	4	2	no	—
911	C₂	—	8	4	no	—
912	C₂	C₂×C₁₁×#525	1	1	yes	characteristic
913	C₂	C₂×C₁₁×#577	1	1	yes	characteristic
914	C₂	C₁₁×#3585	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×#3508	C₂	semidirect
2. C₄×C₁₁×2₋¹⁺⁴	C₂	semidirect
3. C₁₁×#3126	C₂	semidirect
4. C₁₁×#3119	C₂	semidirect
5. C₁₁×#3115	C₂	semidirect
6. C₁₁×#3112	C₂	semidirect
7. C₁₁×#3106	C₂	semidirect
8. C₁₁×#3103	C₂	semidirect
9. C₁₁×#3096	C₂	semidirect
10. C₁₁×#3078	C₂	semidirect
11. C₁₁×#3076	C₂	semidirect
12. C₁₁×#3038	C₂	semidirect
13. C₂×C₁₁×#460	C₂	semidirect
14. C₁₁×#3010	C₂	semidirect
15. C₁₁×#2949	C₂	semidirect
16. C₁₁×#2946	C₂	semidirect
17. C₁₁×#2925	C₂	semidirect
37. C₁₁×#520	C₂²	semidirect
40. C₁₁×#519	C₂²	semidirect
46. C₄×C₁₁×#41	C₂²	semidirect
49. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
50. C₁₁×#482	C₂²	semidirect
51. C₁₁×#482	C₂²	semidirect
52. C₁₁×#481	C₂²	semidirect
53. C₁₁×#480	C₂²	semidirect
54. C₁₁×#479	C₂²	semidirect
55. C₁₁×#479	C₂²	semidirect
56. C₁₁×#478	C₂²	semidirect
57. C₁₁×#477	C₂²	semidirect
58. C₁₁×#477	C₂²	semidirect
59. C₁₁×#476	C₂²	semidirect
60. C₁₁×#475	C₂²	semidirect
61. C₁₁×#475	C₂²	semidirect
62. C₁₁×#474	C₂²	semidirect
70. C₁₁×#449	C₂²	semidirect
71. C₁₁×#449	C₂²	semidirect
72. C₁₁×#448	C₂²	semidirect
73. C₁₁×#448	C₂²	semidirect
74. C₁₁×#442	C₂²	semidirect
75. C₁₁×#440	C₂²	semidirect
76. C₁₁×#440	C₂²	semidirect
77. C₁₁×#440	C₂²	semidirect
78. C₄×C₁₁×SD₁₆	C₂²	semidirect
79. C₄×C₁₁×SD₁₆	C₂²	semidirect
80. C₄×C₁₁×SD₁₆	C₂²	semidirect
81. C₄×C₁₁×D₈	C₂²	semidirect
82. C₁₁×#433	C₂²	semidirect
83. C₁₁×#432	C₂²	semidirect
84. C₁₁×#431	C₂²	semidirect
232. #60593	C₁₁	direct (N × H)
243. C₁₁×#41	#41	semidirect
253. C₂×Q₈×C₁₁	#41	semidirect
351. #3508	C₂×C₁₁	semidirect
352. C₄×2₋¹⁺⁴	C₂×C₁₁	semidirect
353. #3126	C₂×C₁₁	semidirect
354. #3119	C₂×C₁₁	semidirect
355. #3115	C₂×C₁₁	semidirect
356. #3112	C₂×C₁₁	semidirect
357. #3106	C₂×C₁₁	semidirect
358. #3103	C₂×C₁₁	semidirect
359. #3096	C₂×C₁₁	semidirect
360. #3078	C₂×C₁₁	semidirect
361. #3076	C₂×C₁₁	semidirect
362. #3038	C₂×C₁₁	semidirect
363. C₂×#460	C₂×C₁₁	semidirect
364. #3010	C₂×C₁₁	semidirect
365. #2949	C₂×C₁₁	semidirect
366. #2946	C₂×C₁₁	semidirect
367. #2925	C₂×C₁₁	semidirect
456. #520	C₂²×C₁₁	semidirect
459. #519	C₂²×C₁₁	semidirect
465. C₄×#41	C₂²×C₁₁	semidirect
468. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
469. #482	C₂²×C₁₁	semidirect
470. #482	C₂²×C₁₁	semidirect
471. #481	C₂²×C₁₁	semidirect
472. #480	C₂²×C₁₁	semidirect
473. #479	C₂²×C₁₁	semidirect
474. #479	C₂²×C₁₁	semidirect
475. #478	C₂²×C₁₁	semidirect
476. #477	C₂²×C₁₁	semidirect
477. #477	C₂²×C₁₁	semidirect
478. #476	C₂²×C₁₁	semidirect
479. #475	C₂²×C₁₁	semidirect
480. #475	C₂²×C₁₁	semidirect
481. #474	C₂²×C₁₁	semidirect
489. #449	C₂²×C₁₁	semidirect
490. #449	C₂²×C₁₁	semidirect
491. #448	C₂²×C₁₁	semidirect
492. #448	C₂²×C₁₁	semidirect
493. #442	C₂²×C₁₁	semidirect
494. #440	C₂²×C₁₁	semidirect
495. #440	C₂²×C₁₁	semidirect
496. #440	C₂²×C₁₁	semidirect
497. C₄×SD₁₆	C₂²×C₁₁	semidirect
498. C₄×SD₁₆	C₂²×C₁₁	semidirect
499. C₄×SD₁₆	C₂²×C₁₁	semidirect
500. C₄×D₈	C₂²×C₁₁	semidirect
501. #433	C₂²×C₁₁	semidirect
502. #432	C₂²×C₁₁	semidirect
503. #431	C₂²×C₁₁	semidirect
699. #41	C₁₁×#41	semidirect
709. C₂×Q₈	C₁₁×#41	semidirect
807. C₁₁	#60593	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×#3508	2
C₄×C₁₁×2₋¹⁺⁴	2
C₁₁×#3126	2
C₁₁×#3119	2
C₁₁×#3115	2
C₁₁×#3112	2
C₁₁×#3106	2
C₁₁×#3103	2
C₁₁×#3096	2
C₁₁×#3078	2
C₁₁×#3076	2
C₁₁×#3038	2
C₂×C₁₁×#460	2
C₁₁×#3010	2
C₁₁×#2949	2
C₁₁×#2946	2
C₁₁×#2925	2
#60593	11

Subgroups — C11×#60593 #14637786

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60593 #14637786