Subgroups — C₁₁×#61094 #14638287

Order 2816.

2738 conjugacy classes of subgroups.

The subgroup lattice has 930 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#577	C₂	1	2	yes	maximal, complemented
2	C₁₁×#3499	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3496	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#3283	C₂	1	2	yes	maximal, complemented
5	D₄×C₁₁×SD₁₆	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3276	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3272	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3267	C₂	1	4	yes	maximal, complemented
9	C₁₁×#3266	C₂	1	4	yes	maximal, complemented
10	C₁₁×#3152	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3063	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3035	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₁₁×#461	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3013	C₂	1	2	yes	maximal, complemented
15	C₁₁×#3009	C₂	1	2	yes	maximal, complemented
16	C₄×C₁₁×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#2935	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×2₋¹⁺⁴	C₂²	1	2	yes	complemented
19	C₂×C₁₁×H(5,𝔽₂)	C₂²	1	2	yes	—
20	C₁₁×#577	—	2	16	no	—
21	C₂×C₁₁×#137	C₂²	1	2	yes	complemented
22	C₂×C₁₁×#137	C₂²	1	4	yes	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×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
26	C₂×C₁₁×#135	C₂²	1	4	yes	complemented
27	C₂×C₁₁×#135	C₂²	1	2	yes	complemented
28	C₂²×C₁₁×SD₁₆	C₂²	1	2	yes	—
29	C₂²×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
30	C₂×C₁₁×#131	C₂²	1	2	yes	complemented
31	D₄×Q₈×C₁₁	C₂²	1	2	yes	complemented
32	D₄×Q₈×C₁₁	C₂²	1	2	yes	complemented
33	C₁₁×#547	—	2	1	no	—
34	C₁₁×#547	—	2	2	no	—
35	C₁₁×#547	—	2	2	no	—
36	C₁₁×#547	C₂²	1	2	yes	—
37	C₁₁×#547	C₂²	1	2	yes	complemented
38	C₁₁×#547	C₂²	1	2	yes	complemented
39	C₁₁×#546	—	2	2	no	—
40	C₁₁×#546	C₂²	1	4	yes	—
41	D₄²×C₁₁	—	2	1	no	—
42	D₄²×C₁₁	C₂²	1	2	yes	—
43	C₁₁×#537	C₂²	1	2	yes	—
44	C₁₁×#536	—	2	2	no	—
45	C₁₁×#536	C₂²	1	2	yes	complemented
46	C₁₁×#534	—	2	2	no	—
47	C₁₁×#532	—	2	1	no	—
48	C₁₁×#532	C₂²	1	1	yes	characteristic
49	C₁₁×#532	C₂²	1	1	yes	characteristic
50	C₂×C₁₁×C₄⋊Q₈	—	2	1	no	—
51	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₁₁×#121	—	2	2	no	—
53	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
55	C₁₁×#497	C₂²	1	4	yes	complemented
56	C₁₁×#494	C₂²	1	2	yes	complemented
57	C₁₁×#492	C₂²	1	2	yes	complemented
58	C₁₁×#470	C₂²	1	4	yes	complemented
59	C₁₁×#468	C₂²	1	4	yes	complemented
60	C₁₁×#467	C₂²	1	4	yes	complemented
61	C₁₁×#465	C₂²	1	4	yes	complemented
62	C₁₁×#464	C₂²	1	2	yes	complemented
63	C₁₁×#463	C₂²	1	2	yes	complemented
64	C₁₁×#462	C₂²	1	1	yes	characteristic, complemented
65	C₁₁×#461	C₂²	1	4	yes	complemented
66	C₁₁×#461	C₂²	1	2	yes	complemented
67	C₁₁×#461	C₂²	1	2	yes	complemented
68	C₁₁×#461	C₂²	1	1	yes	characteristic, complemented
69	C₁₁×#460	C₂²	1	1	yes	characteristic, complemented
70	C₁₁×#459	C₂²	1	1	yes	characteristic, complemented
71	C₁₁×#452	C₂²	1	4	yes	complemented
72	C₁₁×#452	C₂²	1	4	yes	complemented
73	C₁₁×#452	C₂²	1	4	yes	complemented
74	C₁₁×#451	C₂²	1	4	yes	complemented
75	C₁₁×#450	C₂²	1	4	yes	complemented
76	C₁₁×#450	C₂²	1	4	yes	complemented
77	C₁₁×#449	C₂²	1	4	yes	complemented
78	C₁₁×#448	C₂²	1	4	yes	complemented
79	C₁₁×#442	C₂²	1	2	yes	complemented
80	C₁₁×#440	C₂²	1	2	yes	complemented
81	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
82	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
83	C₁₁×#436	C₂²	1	2	yes	complemented
84	C₁₁×#435	C₂²	1	4	yes	complemented
85	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
86	C₁₁×#428	C₂²	1	1	yes	characteristic, complemented
87	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
88	C₁₁×#418	C₂²	1	1	yes	characteristic
89	C₁₁×#417	C₂²	1	1	yes	characteristic, complemented
90	C₁₁×#416	C₂²	1	2	yes	complemented
91	C₂×C₁₁×#103	C₂²	1	2	yes	complemented
92	C₁₁×#408	C₂²	1	2	yes	complemented
93	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic, complemented
94	C₁₁×2₋¹⁺⁴	—	2	8	no	—
95	C₁₁×2₋¹⁺⁴	—	4	4	no	—
96	C₁₁×H(5,𝔽₂)	—	2	8	no	—
97	C₁₁×H(5,𝔽₂)	—	4	4	no	—
98	C₂×C₁₁×#41	—	2	2	no	—
99	C₂×C₁₁×#41	—	2	2	no	—
100	C₂×C₁₁×#41	—	2	4	no	—
101	C₂×C₁₁×#41	C₂³	1	2	yes	—
102	C₂×C₁₁×#41	C₂³	1	4	yes	—
103	C₂×C₁₁×#41	C₂³	1	4	yes	—
104	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
105	C₂×C₁₁×#41	C₂³	1	2	yes	—
106	C₂²×Q₈×C₁₁	—	2	2	no	—
107	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
108	C₂²×Q₈×C₁₁	C₂³	1	4	yes	—
109	C₂²×D₄×C₁₁	—	2	4	no	—
110	C₂²×D₄×C₁₁	—	2	2	no	—
111	C₂²×D₄×C₁₁	—	2	2	no	—
112	C₂²×D₄×C₁₁	C₂³	1	4	yes	—
113	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
114	C₂³×C₄×C₁₁	—	2	1	no	—
115	C₁₁×#137	—	2	16	no	—
116	C₁₁×#137	—	2	8	no	—
117	C₁₁×#137	—	4	4	no	—
118	C₁₁×AGL(1,ℤ/8)	—	2	16	no	—
119	C₁₁×AGL(1,ℤ/8)	D₄	1	8	yes	complemented
120	C₁₁×#135	—	2	8	no	—
121	C₁₁×#135	—	2	16	no	—
122	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
123	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
124	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
125	C₂×C₁₁×SD₁₆	—	2	8	no	—
126	C₂×C₁₁×SD₁₆	—	2	16	no	—
127	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
128	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
129	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
130	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
131	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
132	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
133	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
134	C₂×C₁₁×D₈	C₂³	1	2	yes	—
135	C₂×C₁₁×D₈	C₂³	1	2	yes	—
136	C₁₁×#131	—	2	8	no	—
137	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
138	C₂×C₁₁×M₁₆	C₂³	1	4	yes	—
139	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
140	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
141	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
142	C₁₁×C₄⋊Q₈	—	2	2	no	—
143	C₁₁×C₄⋊Q₈	—	2	2	no	—
144	C₁₁×C₄⋊Q₈	—	2	2	no	—
145	C₁₁×C₄⋊Q₈	—	2	1	no	—
146	C₁₁×C₄⋊Q₈	—	2	1	no	—
147	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
148	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
149	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
150	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
151	C₁₁×#127	D₄	1	1	yes	characteristic
152	C₁₁×#127	C₂³	1	1	yes	characteristic
153	C₁₁×#124	—	2	2	no	—
154	C₁₁×#124	D₄	1	2	yes	—
155	C₁₁×#124	C₂³	1	2	yes	—
156	C₁₁×#123	—	2	4	no	—
157	C₁₁×#123	—	2	4	no	—
158	C₁₁×#123	—	2	4	no	—
159	C₁₁×#123	—	2	4	no	—
160	C₁₁×#123	—	2	4	no	—
161	C₁₁×C₂²⋊Q₈	—	2	2	no	—
162	C₁₁×C₂²⋊Q₈	—	2	4	no	—
163	C₁₁×C₂²⋊Q₈	—	2	4	no	—
164	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
165	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
166	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
167	C₁₁×#121	—	2	4	no	—
168	C₁₁×#121	—	2	2	no	—
169	C₁₁×#121	—	2	2	no	—
170	C₁₁×#121	—	2	2	no	—
171	C₁₁×#121	—	2	2	no	—
172	C₁₁×#121	—	2	1	no	—
173	C₁₁×#121	—	2	1	no	—
174	C₁₁×#121	—	2	2	no	—
175	C₁₁×#121	—	2	4	no	—
176	C₁₁×#121	D₄	1	2	yes	—
177	C₁₁×#121	D₄	1	2	yes	—
178	C₁₁×#121	C₂³	1	4	yes	—
179	C₁₁×#120	—	2	4	no	—
180	C₁₁×#120	—	2	4	no	—
181	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
182	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
183	C₄×D₄×C₁₁	—	2	2	no	—
184	C₄×D₄×C₁₁	—	2	2	no	—
185	C₄×D₄×C₁₁	—	2	1	no	—
186	C₄×D₄×C₁₁	—	2	1	no	—
187	C₄×D₄×C₁₁	—	2	1	no	—
188	C₄×D₄×C₁₁	—	2	1	no	—
189	C₄×D₄×C₁₁	—	2	1	no	—
190	C₄×D₄×C₁₁	—	2	1	no	—
191	C₄×D₄×C₁₁	C₂³	1	2	yes	—
192	C₄×D₄×C₁₁	C₂³	1	2	yes	—
193	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
194	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
195	C₄×D₄×C₁₁	C₂³	1	2	yes	—
196	C₄×D₄×C₁₁	C₂³	1	2	yes	—
197	C₁₁×#117	—	2	1	no	—
198	C₁₁×#117	C₂³	1	1	yes	characteristic
199	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
200	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
201	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
202	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
203	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
204	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
206	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
207	C₂×C₄²×C₁₁	—	2	1	no	—
208	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
209	C₁₁×#107	C₂³	1	2	yes	—
210	C₁₁×#106	C₂³	1	2	yes	—
211	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
212	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
213	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
214	C₁₁×#103	C₂³	1	4	yes	—
215	C₁₁×#103	C₂³	1	4	yes	—
216	C₁₁×#103	C₂³	1	2	yes	—
217	C₁₁×#103	C₂³	1	2	yes	—
218	C₁₁×#103	C₂³	1	2	yes	—
219	C₁₁×#102	C₂³	1	2	yes	—
220	C₁₁×#102	C₂³	1	2	yes	—
221	C₁₁×#102	C₂³	1	2	yes	—
222	C₁₁×#102	C₂³	1	2	yes	—
223	C₁₁×#102	C₂³	1	2	yes	—
224	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
225	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
226	C₁₁×#97	C₂³	1	2	yes	—
227	C₄×C₈×C₁₁	C₂³	1	2	yes	—
228	#61094	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
229	C₂⁴×C₁₁	—	2	1	no	—
230	C₂⁴×C₁₁	—	2	4	no	—
231	C₁₁×#41	—	2	4	no	—
232	C₁₁×#41	—	2	4	no	—
233	C₁₁×#41	—	2	2	no	—
234	C₁₁×#41	—	2	8	no	—
235	C₁₁×#41	—	2	8	no	—
236	C₁₁×#41	—	2	4	no	—
237	C₁₁×#41	—	2	4	no	—
238	C₁₁×#41	—	4	4	no	—
239	C₁₁×#41	—	4	4	no	—
240	C₁₁×#41	—	4	8	no	—
241	C₁₁×#41	—	4	16	no	—
242	C₁₁×#41	—	4	8	no	—
243	C₁₁×#41	C₂×D₄	1	4	yes	complemented
244	C₂×Q₈×C₁₁	—	2	4	no	—
245	C₂×Q₈×C₁₁	—	2	2	no	—
246	C₂×Q₈×C₁₁	—	2	8	no	—
247	C₂×Q₈×C₁₁	—	2	4	no	—
248	C₂×Q₈×C₁₁	—	2	4	no	—
249	C₂×Q₈×C₁₁	—	4	4	no	—
250	C₂×Q₈×C₁₁	—	4	8	no	—
251	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
252	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
253	C₂×Q₈×C₁₁	C₂⁴	1	4	yes	—
254	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
255	C₂×D₄×C₁₁	—	2	1	no	—
256	C₂×D₄×C₁₁	—	2	8	no	—
257	C₂×D₄×C₁₁	—	2	4	no	—
258	C₂×D₄×C₁₁	—	2	2	no	—
259	C₂×D₄×C₁₁	—	2	4	no	—
260	C₂×D₄×C₁₁	—	2	4	no	—
261	C₂×D₄×C₁₁	—	2	1	no	—
262	C₂×D₄×C₁₁	—	2	1	no	—
263	C₂×D₄×C₁₁	—	2	4	no	—
264	C₂×D₄×C₁₁	—	2	1	no	—
265	C₂×D₄×C₁₁	—	2	2	no	—
266	C₂×D₄×C₁₁	—	4	4	no	—
267	C₂×D₄×C₁₁	—	4	8	no	—
268	C₂×D₄×C₁₁	—	4	16	no	—
269	C₂×D₄×C₁₁	—	8	4	no	—
270	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
271	C₂×D₄×C₁₁	C₂×D₄	1	4	yes	—
272	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
273	C₂×D₄×C₁₁	C₂×D₄	1	4	yes	—
274	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
275	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
276	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
277	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
278	C₂²×C₄×C₁₁	—	2	1	no	—
279	C₂²×C₄×C₁₁	—	2	2	no	—
280	C₂²×C₄×C₁₁	—	2	4	no	—
281	C₂²×C₄×C₁₁	—	2	1	no	—
282	C₂²×C₄×C₁₁	—	2	1	no	—
283	C₂²×C₄×C₁₁	—	2	1	no	—
284	C₂²×C₄×C₁₁	—	2	4	no	—
285	C₂²×C₄×C₁₁	—	2	4	no	—
286	C₂²×C₄×C₁₁	—	2	2	no	—
287	C₂²×C₄×C₁₁	—	2	2	no	—
288	C₂²×C₄×C₁₁	—	2	2	no	—
289	C₂²×C₄×C₁₁	—	8	2	no	—
290	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
291	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
292	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
293	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
294	C₁₁×Q₁₆	—	2	8	no	—
295	C₁₁×Q₁₆	—	2	4	no	—
296	C₁₁×Q₁₆	—	4	4	no	—
297	C₁₁×SD₁₆	—	2	8	no	—
298	C₁₁×SD₁₆	—	2	4	no	—
299	C₁₁×SD₁₆	—	2	8	no	—
300	C₁₁×SD₁₆	—	2	8	no	—
301	C₁₁×SD₁₆	—	2	4	no	—
302	C₁₁×SD₁₆	—	4	4	no	—
303	C₁₁×SD₁₆	C₂×D₄	1	8	yes	complemented
304	C₁₁×D₈	—	2	4	no	—
305	C₁₁×D₈	C₂×D₄	1	8	yes	complemented
306	C₁₁×M₁₆	—	2	8	no	—
307	C₁₁×M₁₆	—	2	2	no	—
308	C₁₁×M₁₆	C₂×D₄	1	4	yes	complemented
309	C₂×C₈×C₁₁	—	2	8	no	—
310	C₂×C₈×C₁₁	—	2	4	no	—
311	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
312	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
313	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
314	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
315	C₁₁×C₄⋊C₄	—	2	1	no	—
316	C₁₁×C₄⋊C₄	—	2	2	no	—
317	C₁₁×C₄⋊C₄	—	2	2	no	—
318	C₁₁×C₄⋊C₄	—	2	4	no	—
319	C₁₁×C₄⋊C₄	—	2	2	no	—
320	C₁₁×C₄⋊C₄	—	2	2	no	—
321	C₁₁×C₄⋊C₄	—	2	4	no	—
322	C₁₁×C₄⋊C₄	—	2	4	no	—
323	C₁₁×C₄⋊C₄	—	2	1	no	—
324	C₁₁×C₄⋊C₄	—	2	1	no	—
325	C₁₁×C₄⋊C₄	—	2	1	no	—
326	C₁₁×C₄⋊C₄	—	2	1	no	—
327	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
328	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
329	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
330	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
331	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
332	C₁₁×C₂²⋊C₄	—	2	4	no	—
333	C₁₁×C₂²⋊C₄	—	2	1	no	—
334	C₁₁×C₂²⋊C₄	—	2	4	no	—
335	C₁₁×C₂²⋊C₄	—	2	4	no	—
336	C₁₁×C₂²⋊C₄	—	2	2	no	—
337	C₁₁×C₂²⋊C₄	—	2	2	no	—
338	C₁₁×C₂²⋊C₄	—	2	2	no	—
339	C₁₁×C₂²⋊C₄	—	2	4	no	—
340	C₁₁×C₂²⋊C₄	—	2	1	no	—
341	C₁₁×C₂²⋊C₄	—	2	1	no	—
342	C₁₁×C₂²⋊C₄	—	2	2	no	—
343	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
344	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
345	C₄²×C₁₁	—	2	1	no	—
346	C₄²×C₁₁	—	2	1	no	—
347	C₄²×C₁₁	—	2	1	no	—
348	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
349	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
350	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
351	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
352	C₂×#577	C₂×C₁₁	1	2	yes	complemented
353	#3499	C₂×C₁₁	1	1	yes	characteristic, complemented
354	#3496	C₂×C₁₁	1	1	yes	characteristic, complemented
355	#3283	C₂×C₁₁	1	2	yes	complemented
356	D₄×SD₁₆	C₂×C₁₁	1	2	yes	complemented
357	#3276	C₂×C₁₁	1	2	yes	complemented
358	#3272	C₂×C₁₁	1	2	yes	complemented
359	#3267	C₂×C₁₁	1	4	yes	complemented
360	#3266	C₂×C₁₁	1	4	yes	complemented
361	#3152	C₂×C₁₁	1	1	yes	characteristic, complemented
362	#3063	C₂×C₁₁	1	2	yes	complemented
363	#3035	C₂×C₁₁	1	1	yes	characteristic, complemented
364	C₂×#461	C₂×C₁₁	1	1	yes	characteristic, complemented
365	#3013	C₂×C₁₁	1	2	yes	complemented
366	#3009	C₂×C₁₁	1	2	yes	complemented
367	C₄×AGL(1,ℤ/8)	C₂×C₁₁	1	1	yes	characteristic, complemented
368	#2935	C₂×C₁₁	1	1	yes	characteristic, complemented
369	C₂³×C₁₁	—	2	1	no	—
370	C₂³×C₁₁	—	2	2	no	—
371	C₂³×C₁₁	—	2	4	no	—
372	C₂³×C₁₁	—	2	2	no	—
373	C₂³×C₁₁	—	4	8	no	—
374	C₂³×C₁₁	—	8	1	no	—
375	C₂³×C₁₁	—	8	1	no	—
376	C₂³×C₁₁	—	8	4	no	—
377	C₂³×C₁₁	—	8	4	no	—
378	C₂³×C₁₁	C₂²×D₄	1	4	yes	—
379	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
380	Q₈×C₁₁	—	2	4	no	—
381	Q₈×C₁₁	—	2	1	no	—
382	Q₈×C₁₁	—	2	4	no	—
383	Q₈×C₁₁	—	2	2	no	—
384	Q₈×C₁₁	—	2	4	no	—
385	Q₈×C₁₁	—	2	2	no	—
386	Q₈×C₁₁	—	4	8	no	—
387	Q₈×C₁₁	—	4	4	no	—
388	Q₈×C₁₁	C₂²×D₄	1	2	yes	—
389	D₄×C₁₁	—	2	4	no	—
390	D₄×C₁₁	—	2	8	no	—
391	D₄×C₁₁	—	2	4	no	—
392	D₄×C₁₁	—	2	4	no	—
393	D₄×C₁₁	—	2	4	no	—
394	D₄×C₁₁	—	2	2	no	—
395	D₄×C₁₁	—	2	2	no	—
396	D₄×C₁₁	—	2	1	no	—
397	D₄×C₁₁	—	2	2	no	—
398	D₄×C₁₁	—	4	2	no	—
399	D₄×C₁₁	—	4	8	no	—
400	D₄×C₁₁	—	4	8	no	—
401	D₄×C₁₁	—	4	8	no	—
402	D₄×C₁₁	—	4	4	no	—
403	D₄×C₁₁	—	4	2	no	—
404	D₄×C₁₁	—	8	1	no	—
405	D₄×C₁₁	—	8	4	no	—
406	D₄×C₁₁	C₂²×D₄	1	2	yes	—
407	D₄×C₁₁	C₂²×D₄	1	4	yes	—
408	C₂×C₄×C₁₁	—	2	1	no	—
409	C₂×C₄×C₁₁	—	2	4	no	—
410	C₂×C₄×C₁₁	—	2	2	no	—
411	C₂×C₄×C₁₁	—	2	4	no	—
412	C₂×C₄×C₁₁	—	2	4	no	—
413	C₂×C₄×C₁₁	—	2	1	no	—
414	C₂×C₄×C₁₁	—	2	1	no	—
415	C₂×C₄×C₁₁	—	2	2	no	—
416	C₂×C₄×C₁₁	—	2	2	no	—
417	C₂×C₄×C₁₁	—	2	4	no	—
418	C₂×C₄×C₁₁	—	4	1	no	—
419	C₂×C₄×C₁₁	—	4	8	no	—
420	C₂×C₄×C₁₁	—	4	8	no	—
421	C₂×C₄×C₁₁	—	4	8	no	—
422	C₂×C₄×C₁₁	—	4	2	no	—
423	C₂×C₄×C₁₁	—	4	4	no	—
424	C₂×C₄×C₁₁	—	4	4	no	—
425	C₂×C₄×C₁₁	—	4	2	no	—
426	C₂×C₄×C₁₁	—	4	4	no	—
427	C₂×C₄×C₁₁	—	8	2	no	—
428	C₂×C₄×C₁₁	—	8	1	no	—
429	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
430	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
431	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
432	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
433	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
434	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
435	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
436	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
437	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
438	C₈×C₁₁	—	2	2	no	—
439	C₈×C₁₁	—	2	2	no	—
440	C₈×C₁₁	—	2	2	no	—
441	C₈×C₁₁	C₂²×D₄	1	4	yes	—
442	C₂×2₋¹⁺⁴	C₂²×C₁₁	1	2	yes	complemented
443	C₂×H(5,𝔽₂)	C₂²×C₁₁	1	2	yes	—
444	#577	—	2	16	no	—
445	C₂×#137	C₂²×C₁₁	1	2	yes	complemented
446	C₂×#137	C₂²×C₁₁	1	4	yes	complemented
447	C₂×#137	C₂²×C₁₁	1	2	yes	complemented
448	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	1	yes	characteristic
449	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	4	yes	complemented
450	C₂×#135	C₂²×C₁₁	1	4	yes	complemented
451	C₂×#135	C₂²×C₁₁	1	2	yes	complemented
452	C₂²×SD₁₆	C₂²×C₁₁	1	2	yes	—
453	C₂²×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
454	C₂×#131	C₂²×C₁₁	1	2	yes	complemented
455	D₄×Q₈	C₂²×C₁₁	1	2	yes	complemented
456	D₄×Q₈	C₂²×C₁₁	1	2	yes	complemented
457	#547	—	2	1	no	—
458	#547	—	2	2	no	—
459	#547	—	2	2	no	—
460	#547	C₂²×C₁₁	1	2	yes	—
461	#547	C₂²×C₁₁	1	2	yes	complemented
462	#547	C₂²×C₁₁	1	2	yes	complemented
463	#546	—	2	2	no	—
464	#546	C₂²×C₁₁	1	4	yes	—
465	D₄²	—	2	1	no	—
466	D₄²	C₂²×C₁₁	1	2	yes	—
467	#537	C₂²×C₁₁	1	2	yes	—
468	#536	—	2	2	no	—
469	#536	C₂²×C₁₁	1	2	yes	complemented
470	#534	—	2	2	no	—
471	#532	—	2	1	no	—
472	#532	C₂²×C₁₁	1	1	yes	characteristic
473	#532	C₂²×C₁₁	1	1	yes	characteristic
474	C₂×C₄⋊Q₈	—	2	1	no	—
475	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
476	C₂×#121	—	2	2	no	—
477	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic, complemented
478	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
479	#497	C₂²×C₁₁	1	4	yes	complemented
480	#494	C₂²×C₁₁	1	2	yes	complemented
481	#492	C₂²×C₁₁	1	2	yes	complemented
482	#470	C₂²×C₁₁	1	4	yes	complemented
483	#468	C₂²×C₁₁	1	4	yes	complemented
484	#467	C₂²×C₁₁	1	4	yes	complemented
485	#465	C₂²×C₁₁	1	4	yes	complemented
486	#464	C₂²×C₁₁	1	2	yes	complemented
487	#463	C₂²×C₁₁	1	2	yes	complemented
488	#462	C₂²×C₁₁	1	1	yes	characteristic, complemented
489	#461	C₂²×C₁₁	1	4	yes	complemented
490	#461	C₂²×C₁₁	1	2	yes	complemented
491	#461	C₂²×C₁₁	1	2	yes	complemented
492	#461	C₂²×C₁₁	1	1	yes	characteristic, complemented
493	#460	C₂²×C₁₁	1	1	yes	characteristic, complemented
494	#459	C₂²×C₁₁	1	1	yes	characteristic, complemented
495	#452	C₂²×C₁₁	1	4	yes	complemented
496	#452	C₂²×C₁₁	1	4	yes	complemented
497	#452	C₂²×C₁₁	1	4	yes	complemented
498	#451	C₂²×C₁₁	1	4	yes	complemented
499	#450	C₂²×C₁₁	1	4	yes	complemented
500	#450	C₂²×C₁₁	1	4	yes	complemented
501	#449	C₂²×C₁₁	1	4	yes	complemented
502	#448	C₂²×C₁₁	1	4	yes	complemented
503	#442	C₂²×C₁₁	1	2	yes	complemented
504	#440	C₂²×C₁₁	1	2	yes	complemented
505	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
506	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
507	#436	C₂²×C₁₁	1	2	yes	complemented
508	#435	C₂²×C₁₁	1	4	yes	complemented
509	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
510	#428	C₂²×C₁₁	1	1	yes	characteristic, complemented
511	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
512	#418	C₂²×C₁₁	1	1	yes	characteristic
513	#417	C₂²×C₁₁	1	1	yes	characteristic, complemented
514	#416	C₂²×C₁₁	1	2	yes	complemented
515	C₂×#103	C₂²×C₁₁	1	2	yes	complemented
516	#408	C₂²×C₁₁	1	2	yes	complemented
517	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
518	C₂²×C₁₁	—	2	1	no	—
519	C₂²×C₁₁	—	2	1	no	—
520	C₂²×C₁₁	—	2	4	no	—
521	C₂²×C₁₁	—	2	2	no	—
522	C₂²×C₁₁	—	2	4	no	—
523	C₂²×C₁₁	—	2	4	no	—
524	C₂²×C₁₁	—	2	4	no	—
525	C₂²×C₁₁	—	4	1	no	—
526	C₂²×C₁₁	—	4	2	no	—
527	C₂²×C₁₁	—	4	2	no	—
528	C₂²×C₁₁	—	4	1	no	—
529	C₂²×C₁₁	—	4	2	no	—
530	C₂²×C₁₁	—	4	2	no	—
531	C₂²×C₁₁	—	4	2	no	—
532	C₂²×C₁₁	—	8	4	no	—
533	C₂²×C₁₁	—	16	8	no	—
534	C₂²×C₁₁	D₄²	1	2	yes	—
535	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
536	C₄×C₁₁	—	2	1	no	—
537	C₄×C₁₁	—	2	1	no	—
538	C₄×C₁₁	—	2	2	no	—
539	C₄×C₁₁	—	2	4	no	—
540	C₄×C₁₁	—	2	1	no	—
541	C₄×C₁₁	—	4	1	no	—
542	C₄×C₁₁	—	4	2	no	—
543	C₄×C₁₁	—	4	4	no	—
544	C₄×C₁₁	—	4	1	no	—
545	C₄×C₁₁	—	4	2	no	—
546	C₄×C₁₁	D₄²	1	2	yes	—
547	C₄×C₁₁	#577	1	2	yes	complemented
548	C₄×C₁₁	C₂³×D₄	1	1	yes	characteristic
549	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
550	2₋¹⁺⁴	—	2	8	no	—
551	2₋¹⁺⁴	—	4	4	no	—
552	H(5,𝔽₂)	—	2	8	no	—
553	H(5,𝔽₂)	—	4	4	no	—
554	C₂×#41	—	2	2	no	—
555	C₂×#41	—	2	2	no	—
556	C₂×#41	—	2	4	no	—
557	C₂×#41	C₂³×C₁₁	1	2	yes	—
558	C₂×#41	C₂³×C₁₁	1	4	yes	—
559	C₂×#41	C₂³×C₁₁	1	4	yes	—
560	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
561	C₂×#41	C₂³×C₁₁	1	2	yes	—
562	C₂²×Q₈	—	2	2	no	—
563	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
564	C₂²×Q₈	C₂³×C₁₁	1	4	yes	—
565	C₂²×D₄	—	2	4	no	—
566	C₂²×D₄	—	2	2	no	—
567	C₂²×D₄	—	2	2	no	—
568	C₂²×D₄	C₂³×C₁₁	1	4	yes	—
569	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
570	C₂³×C₄	—	2	1	no	—
571	#137	—	2	16	no	—
572	#137	—	2	8	no	—
573	#137	—	4	4	no	—
574	AGL(1,ℤ/8)	—	2	16	no	—
575	AGL(1,ℤ/8)	D₄×C₁₁	1	8	yes	complemented
576	#135	—	2	8	no	—
577	#135	—	2	16	no	—
578	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
579	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
580	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
581	C₂×SD₁₆	—	2	8	no	—
582	C₂×SD₁₆	—	2	16	no	—
583	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
584	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
585	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
586	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
587	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
588	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
589	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
590	C₂×D₈	C₂³×C₁₁	1	2	yes	—
591	C₂×D₈	C₂³×C₁₁	1	2	yes	—
592	#131	—	2	8	no	—
593	C₂×M₁₆	C₂³×C₁₁	1	4	yes	—
594	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
595	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
596	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
597	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
598	C₄⋊Q₈	—	2	2	no	—
599	C₄⋊Q₈	—	2	2	no	—
600	C₄⋊Q₈	—	2	2	no	—
601	C₄⋊Q₈	—	2	1	no	—
602	C₄⋊Q₈	—	2	1	no	—
603	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
604	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
605	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
606	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
607	#127	D₄×C₁₁	1	1	yes	characteristic
608	#127	C₂³×C₁₁	1	1	yes	characteristic
609	#124	—	2	2	no	—
610	#124	D₄×C₁₁	1	2	yes	—
611	#124	C₂³×C₁₁	1	2	yes	—
612	#123	—	2	4	no	—
613	#123	—	2	4	no	—
614	#123	—	2	4	no	—
615	#123	—	2	4	no	—
616	#123	—	2	4	no	—
617	C₂²⋊Q₈	—	2	2	no	—
618	C₂²⋊Q₈	—	2	4	no	—
619	C₂²⋊Q₈	—	2	4	no	—
620	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
621	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
622	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
623	#121	—	2	4	no	—
624	#121	—	2	2	no	—
625	#121	—	2	2	no	—
626	#121	—	2	2	no	—
627	#121	—	2	2	no	—
628	#121	—	2	1	no	—
629	#121	—	2	1	no	—
630	#121	—	2	2	no	—
631	#121	—	2	4	no	—
632	#121	D₄×C₁₁	1	2	yes	—
633	#121	D₄×C₁₁	1	2	yes	—
634	#121	C₂³×C₁₁	1	4	yes	—
635	#120	—	2	4	no	—
636	#120	—	2	4	no	—
637	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
638	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
639	C₄×D₄	—	2	2	no	—
640	C₄×D₄	—	2	2	no	—
641	C₄×D₄	—	2	1	no	—
642	C₄×D₄	—	2	1	no	—
643	C₄×D₄	—	2	1	no	—
644	C₄×D₄	—	2	1	no	—
645	C₄×D₄	—	2	1	no	—
646	C₄×D₄	—	2	1	no	—
647	C₄×D₄	C₂³×C₁₁	1	2	yes	—
648	C₄×D₄	C₂³×C₁₁	1	2	yes	—
649	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
650	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
651	C₄×D₄	C₂³×C₁₁	1	2	yes	—
652	C₄×D₄	C₂³×C₁₁	1	2	yes	—
653	#117	—	2	1	no	—
654	#117	C₂³×C₁₁	1	1	yes	characteristic
655	C₂×C₄⋊C₄	—	2	1	no	—
656	C₂×C₄⋊C₄	—	2	1	no	—
657	C₂×C₄⋊C₄	—	2	2	no	—
658	C₂×C₄⋊C₄	—	2	2	no	—
659	C₂×C₄⋊C₄	—	2	2	no	—
660	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
661	C₂×C₂²⋊C₄	—	2	1	no	—
662	C₂×C₂²⋊C₄	—	2	4	no	—
663	C₂×C₄²	—	2	1	no	—
664	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
665	#107	C₂³×C₁₁	1	2	yes	—
666	#106	C₂³×C₁₁	1	2	yes	—
667	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
668	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
669	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
670	#103	C₂³×C₁₁	1	4	yes	—
671	#103	C₂³×C₁₁	1	4	yes	—
672	#103	C₂³×C₁₁	1	2	yes	—
673	#103	C₂³×C₁₁	1	2	yes	—
674	#103	C₂³×C₁₁	1	2	yes	—
675	#102	C₂³×C₁₁	1	2	yes	—
676	#102	C₂³×C₁₁	1	2	yes	—
677	#102	C₂³×C₁₁	1	2	yes	—
678	#102	C₂³×C₁₁	1	2	yes	—
679	#102	C₂³×C₁₁	1	2	yes	—
680	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
681	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
682	#97	C₂³×C₁₁	1	2	yes	—
683	C₄×C₈	C₂³×C₁₁	1	2	yes	—
684	C₂×C₁₁	—	2	2	no	—
685	C₂×C₁₁	—	4	4	no	—
686	C₂×C₁₁	—	4	2	no	—
687	C₂×C₁₁	—	4	4	no	—
688	C₂×C₁₁	—	8	2	no	—
689	C₂×C₁₁	C₂×D₄²	1	1	yes	characteristic
690	C₂×C₁₁	C₂×#577	1	1	yes	characteristic
691	C₂×C₁₁	#3586	1	1	yes	characteristic
692	C₂⁴	—	2	1	no	—
693	C₂⁴	—	2	4	no	—
694	#41	—	2	4	no	—
695	#41	—	2	4	no	—
696	#41	—	2	2	no	—
697	#41	—	2	8	no	—
698	#41	—	2	8	no	—
699	#41	—	2	4	no	—
700	#41	—	2	4	no	—
701	#41	—	4	4	no	—
702	#41	—	4	4	no	—
703	#41	—	4	8	no	—
704	#41	—	4	16	no	—
705	#41	—	4	8	no	—
706	#41	C₂×D₄×C₁₁	1	4	yes	complemented
707	C₂×Q₈	—	2	4	no	—
708	C₂×Q₈	—	2	2	no	—
709	C₂×Q₈	—	2	8	no	—
710	C₂×Q₈	—	2	4	no	—
711	C₂×Q₈	—	2	4	no	—
712	C₂×Q₈	—	4	4	no	—
713	C₂×Q₈	—	4	8	no	—
714	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
715	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
716	C₂×Q₈	C₂⁴×C₁₁	1	4	yes	—
717	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
718	C₂×D₄	—	2	1	no	—
719	C₂×D₄	—	2	8	no	—
720	C₂×D₄	—	2	4	no	—
721	C₂×D₄	—	2	2	no	—
722	C₂×D₄	—	2	4	no	—
723	C₂×D₄	—	2	4	no	—
724	C₂×D₄	—	2	1	no	—
725	C₂×D₄	—	2	1	no	—
726	C₂×D₄	—	2	4	no	—
727	C₂×D₄	—	2	1	no	—
728	C₂×D₄	—	2	2	no	—
729	C₂×D₄	—	4	4	no	—
730	C₂×D₄	—	4	8	no	—
731	C₂×D₄	—	4	16	no	—
732	C₂×D₄	—	8	4	no	—
733	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
734	C₂×D₄	C₂×D₄×C₁₁	1	4	yes	—
735	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
736	C₂×D₄	C₂×D₄×C₁₁	1	4	yes	—
737	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
738	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
739	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
740	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
741	C₂²×C₄	—	2	1	no	—
742	C₂²×C₄	—	2	2	no	—
743	C₂²×C₄	—	2	4	no	—
744	C₂²×C₄	—	2	1	no	—
745	C₂²×C₄	—	2	1	no	—
746	C₂²×C₄	—	2	1	no	—
747	C₂²×C₄	—	2	4	no	—
748	C₂²×C₄	—	2	4	no	—
749	C₂²×C₄	—	2	2	no	—
750	C₂²×C₄	—	2	2	no	—
751	C₂²×C₄	—	2	2	no	—
752	C₂²×C₄	—	8	2	no	—
753	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
754	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
755	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
756	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
757	Q₁₆	—	2	4	no	—
758	Q₁₆	—	2	8	no	—
759	Q₁₆	—	4	4	no	—
760	SD₁₆	—	2	4	no	—
761	SD₁₆	—	2	8	no	—
762	SD₁₆	—	2	8	no	—
763	SD₁₆	—	2	4	no	—
764	SD₁₆	—	2	8	no	—
765	SD₁₆	—	4	4	no	—
766	SD₁₆	C₂×D₄×C₁₁	1	8	yes	complemented
767	D₈	—	2	4	no	—
768	D₈	C₂×D₄×C₁₁	1	8	yes	complemented
769	M₁₆	—	2	2	no	—
770	M₁₆	—	2	8	no	—
771	M₁₆	C₂×D₄×C₁₁	1	4	yes	complemented
772	C₂×C₈	—	2	4	no	—
773	C₂×C₈	—	2	8	no	—
774	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
775	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
776	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
777	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
778	C₄⋊C₄	—	2	1	no	—
779	C₄⋊C₄	—	2	2	no	—
780	C₄⋊C₄	—	2	2	no	—
781	C₄⋊C₄	—	2	4	no	—
782	C₄⋊C₄	—	2	2	no	—
783	C₄⋊C₄	—	2	2	no	—
784	C₄⋊C₄	—	2	4	no	—
785	C₄⋊C₄	—	2	4	no	—
786	C₄⋊C₄	—	2	1	no	—
787	C₄⋊C₄	—	2	1	no	—
788	C₄⋊C₄	—	2	1	no	—
789	C₄⋊C₄	—	2	1	no	—
790	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
791	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
792	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
793	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
794	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
795	C₂²⋊C₄	—	2	4	no	—
796	C₂²⋊C₄	—	2	1	no	—
797	C₂²⋊C₄	—	2	4	no	—
798	C₂²⋊C₄	—	2	4	no	—
799	C₂²⋊C₄	—	2	2	no	—
800	C₂²⋊C₄	—	2	2	no	—
801	C₂²⋊C₄	—	2	2	no	—
802	C₂²⋊C₄	—	2	4	no	—
803	C₂²⋊C₄	—	2	1	no	—
804	C₂²⋊C₄	—	2	1	no	—
805	C₂²⋊C₄	—	2	2	no	—
806	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
807	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
808	C₄²	—	2	1	no	—
809	C₄²	—	2	1	no	—
810	C₄²	—	2	1	no	—
811	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
812	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
813	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
814	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
815	C₁₁	#61094	1	1	yes	characteristic, direct product factor, Sylow
816	C₂³	—	2	1	no	—
817	C₂³	—	2	2	no	—
818	C₂³	—	2	4	no	—
819	C₂³	—	2	2	no	—
820	C₂³	—	4	8	no	—
821	C₂³	—	8	1	no	—
822	C₂³	—	8	1	no	—
823	C₂³	—	8	4	no	—
824	C₂³	—	8	4	no	—
825	C₂³	C₂²×D₄×C₁₁	1	4	yes	—
826	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
827	Q₈	—	2	4	no	—
828	Q₈	—	2	1	no	—
829	Q₈	—	2	4	no	—
830	Q₈	—	2	2	no	—
831	Q₈	—	2	4	no	—
832	Q₈	—	2	2	no	—
833	Q₈	—	4	8	no	—
834	Q₈	—	4	4	no	—
835	Q₈	C₂²×D₄×C₁₁	1	2	yes	—
836	D₄	—	2	4	no	—
837	D₄	—	2	8	no	—
838	D₄	—	2	4	no	—
839	D₄	—	2	4	no	—
840	D₄	—	2	4	no	—
841	D₄	—	2	2	no	—
842	D₄	—	2	2	no	—
843	D₄	—	2	1	no	—
844	D₄	—	2	2	no	—
845	D₄	—	4	2	no	—
846	D₄	—	4	8	no	—
847	D₄	—	4	8	no	—
848	D₄	—	4	8	no	—
849	D₄	—	4	4	no	—
850	D₄	—	4	2	no	—
851	D₄	—	8	1	no	—
852	D₄	—	8	4	no	—
853	D₄	C₂²×D₄×C₁₁	1	2	yes	—
854	D₄	C₂²×D₄×C₁₁	1	4	yes	—
855	C₂×C₄	—	2	1	no	—
856	C₂×C₄	—	2	4	no	—
857	C₂×C₄	—	2	2	no	—
858	C₂×C₄	—	2	4	no	—
859	C₂×C₄	—	2	4	no	—
860	C₂×C₄	—	2	1	no	—
861	C₂×C₄	—	2	1	no	—
862	C₂×C₄	—	2	2	no	—
863	C₂×C₄	—	2	2	no	—
864	C₂×C₄	—	2	4	no	—
865	C₂×C₄	—	4	1	no	—
866	C₂×C₄	—	4	8	no	—
867	C₂×C₄	—	4	8	no	—
868	C₂×C₄	—	4	8	no	—
869	C₂×C₄	—	4	2	no	—
870	C₂×C₄	—	4	4	no	—
871	C₂×C₄	—	4	4	no	—
872	C₂×C₄	—	4	2	no	—
873	C₂×C₄	—	4	4	no	—
874	C₂×C₄	—	8	2	no	—
875	C₂×C₄	—	8	1	no	—
876	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
877	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
878	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
879	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
880	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
881	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
882	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
883	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
884	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
885	C₈	—	2	2	no	—
886	C₈	—	2	2	no	—
887	C₈	—	2	2	no	—
888	C₈	C₂²×D₄×C₁₁	1	4	yes	—
889	C₂²	—	2	1	no	—
890	C₂²	—	2	1	no	—
891	C₂²	—	2	2	no	—
892	C₂²	—	2	4	no	—
893	C₂²	—	2	4	no	—
894	C₂²	—	2	4	no	—
895	C₂²	—	2	4	no	—
896	C₂²	—	4	2	no	—
897	C₂²	—	4	1	no	—
898	C₂²	—	4	1	no	—
899	C₂²	—	4	2	no	—
900	C₂²	—	4	2	no	—
901	C₂²	—	4	2	no	—
902	C₂²	—	4	2	no	—
903	C₂²	—	8	4	no	—
904	C₂²	—	16	8	no	—
905	C₂²	D₄²×C₁₁	1	2	yes	—
906	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
907	C₄	—	2	2	no	—
908	C₄	—	2	4	no	—
909	C₄	—	2	1	no	—
910	C₄	—	2	1	no	—
911	C₄	—	2	1	no	—
912	C₄	—	4	2	no	—
913	C₄	—	4	4	no	—
914	C₄	—	4	2	no	—
915	C₄	—	4	1	no	—
916	C₄	—	4	1	no	—
917	C₄	D₄²×C₁₁	1	2	yes	—
918	C₄	C₁₁×#577	1	2	yes	complemented
919	C₄	C₂³×D₄×C₁₁	1	1	yes	characteristic
920	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
921	C₂	—	2	2	no	—
922	C₂	—	4	4	no	—
923	C₂	—	4	4	no	—
924	C₂	—	4	2	no	—
925	C₂	—	8	2	no	—
926	C₂	C₂×D₄²×C₁₁	1	1	yes	characteristic
927	C₂	C₂×C₁₁×#577	1	1	yes	characteristic
928	C₂	C₁₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₁₁×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₁×#577	C₂	semidirect
2. C₁₁×#3499	C₂	semidirect
3. C₁₁×#3496	C₂	semidirect
4. C₁₁×#3283	C₂	semidirect
5. D₄×C₁₁×SD₁₆	C₂	semidirect
6. C₁₁×#3276	C₂	semidirect
7. C₁₁×#3272	C₂	semidirect
8. C₁₁×#3267	C₂	semidirect
9. C₁₁×#3266	C₂	semidirect
10. C₁₁×#3152	C₂	semidirect
11. C₁₁×#3063	C₂	semidirect
12. C₁₁×#3035	C₂	semidirect
13. C₂×C₁₁×#461	C₂	semidirect
14. C₁₁×#3013	C₂	semidirect
15. C₁₁×#3009	C₂	semidirect
16. C₄×C₁₁×AGL(1,ℤ/8)	C₂	semidirect
17. C₁₁×#2935	C₂	semidirect
18. C₂×C₁₁×2₋¹⁺⁴	C₂²	semidirect
21. C₂×C₁₁×#137	C₂²	semidirect
22. C₂×C₁₁×#137	C₂²	semidirect
23. C₂×C₁₁×#137	C₂²	semidirect
25. C₂×C₁₁×AGL(1,ℤ/8)	C₂²	semidirect
26. C₂×C₁₁×#135	C₂²	semidirect
27. C₂×C₁₁×#135	C₂²	semidirect
29. C₂²×C₁₁×SD₁₆	C₂²	semidirect
30. C₂×C₁₁×#131	C₂²	semidirect
31. D₄×Q₈×C₁₁	C₂²	semidirect
32. D₄×Q₈×C₁₁	C₂²	semidirect
37. C₁₁×#547	C₂²	semidirect
38. C₁₁×#547	C₂²	semidirect
45. C₁₁×#536	C₂²	semidirect
51. C₂×C₁₁×C₄⋊Q₈	C₂²	semidirect
53. C₄×C₁₁×#41	C₂²	semidirect
55. C₁₁×#497	C₂²	semidirect
56. C₁₁×#494	C₂²	semidirect
57. C₁₁×#492	C₂²	semidirect
58. C₁₁×#470	C₂²	semidirect
59. C₁₁×#468	C₂²	semidirect
60. C₁₁×#467	C₂²	semidirect
61. C₁₁×#465	C₂²	semidirect
62. C₁₁×#464	C₂²	semidirect
63. C₁₁×#463	C₂²	semidirect
64. C₁₁×#462	C₂²	semidirect
65. C₁₁×#461	C₂²	semidirect
66. C₁₁×#461	C₂²	semidirect
67. C₁₁×#461	C₂²	semidirect
68. C₁₁×#461	C₂²	semidirect
69. C₁₁×#460	C₂²	semidirect
70. C₁₁×#459	C₂²	semidirect
71. C₁₁×#452	C₂²	semidirect
72. C₁₁×#452	C₂²	semidirect
73. C₁₁×#452	C₂²	semidirect
74. C₁₁×#451	C₂²	semidirect
75. C₁₁×#450	C₂²	semidirect
76. C₁₁×#450	C₂²	semidirect
77. C₁₁×#449	C₂²	semidirect
78. C₁₁×#448	C₂²	semidirect
79. C₁₁×#442	C₂²	semidirect
80. C₁₁×#440	C₂²	semidirect
81. C₄×C₁₁×SD₁₆	C₂²	semidirect
82. C₄×C₁₁×D₈	C₂²	semidirect
83. C₁₁×#436	C₂²	semidirect
84. C₁₁×#435	C₂²	semidirect
85. C₈×D₄×C₁₁	C₂²	semidirect
86. C₁₁×#428	C₂²	semidirect
87. C₂×C₁₁×C₄⋊C₈	C₂²	semidirect
89. C₁₁×#417	C₂²	semidirect
90. C₁₁×#416	C₂²	semidirect
91. C₂×C₁₁×#103	C₂²	semidirect
92. C₁₁×#408	C₂²	semidirect
93. C₄×C₁₁×M₁₆	C₂²	semidirect
119. C₁₁×AGL(1,ℤ/8)	D₄	semidirect
228. #61094	C₁₁	direct (N × H)
243. C₁₁×#41	C₂×D₄	semidirect
303. C₁₁×SD₁₆	C₂×D₄	semidirect
305. C₁₁×D₈	C₂×D₄	semidirect
308. C₁₁×M₁₆	C₂×D₄	semidirect
352. C₂×#577	C₂×C₁₁	semidirect
353. #3499	C₂×C₁₁	semidirect
354. #3496	C₂×C₁₁	semidirect
355. #3283	C₂×C₁₁	semidirect
356. D₄×SD₁₆	C₂×C₁₁	semidirect
357. #3276	C₂×C₁₁	semidirect
358. #3272	C₂×C₁₁	semidirect
359. #3267	C₂×C₁₁	semidirect
360. #3266	C₂×C₁₁	semidirect
361. #3152	C₂×C₁₁	semidirect
362. #3063	C₂×C₁₁	semidirect
363. #3035	C₂×C₁₁	semidirect
364. C₂×#461	C₂×C₁₁	semidirect
365. #3013	C₂×C₁₁	semidirect
366. #3009	C₂×C₁₁	semidirect
367. C₄×AGL(1,ℤ/8)	C₂×C₁₁	semidirect
368. #2935	C₂×C₁₁	semidirect
442. C₂×2₋¹⁺⁴	C₂²×C₁₁	semidirect
445. C₂×#137	C₂²×C₁₁	semidirect
446. C₂×#137	C₂²×C₁₁	semidirect
447. C₂×#137	C₂²×C₁₁	semidirect
449. C₂×AGL(1,ℤ/8)	C₂²×C₁₁	semidirect
450. C₂×#135	C₂²×C₁₁	semidirect
451. C₂×#135	C₂²×C₁₁	semidirect
453. C₂²×SD₁₆	C₂²×C₁₁	semidirect
454. C₂×#131	C₂²×C₁₁	semidirect
455. D₄×Q₈	C₂²×C₁₁	semidirect
456. D₄×Q₈	C₂²×C₁₁	semidirect
461. #547	C₂²×C₁₁	semidirect
462. #547	C₂²×C₁₁	semidirect
469. #536	C₂²×C₁₁	semidirect
475. C₂×C₄⋊Q₈	C₂²×C₁₁	semidirect
477. C₄×#41	C₂²×C₁₁	semidirect
479. #497	C₂²×C₁₁	semidirect
480. #494	C₂²×C₁₁	semidirect
481. #492	C₂²×C₁₁	semidirect
482. #470	C₂²×C₁₁	semidirect
483. #468	C₂²×C₁₁	semidirect
484. #467	C₂²×C₁₁	semidirect
485. #465	C₂²×C₁₁	semidirect
486. #464	C₂²×C₁₁	semidirect
487. #463	C₂²×C₁₁	semidirect
488. #462	C₂²×C₁₁	semidirect
489. #461	C₂²×C₁₁	semidirect
490. #461	C₂²×C₁₁	semidirect
491. #461	C₂²×C₁₁	semidirect
492. #461	C₂²×C₁₁	semidirect
493. #460	C₂²×C₁₁	semidirect
494. #459	C₂²×C₁₁	semidirect
495. #452	C₂²×C₁₁	semidirect
496. #452	C₂²×C₁₁	semidirect
497. #452	C₂²×C₁₁	semidirect
498. #451	C₂²×C₁₁	semidirect
499. #450	C₂²×C₁₁	semidirect
500. #450	C₂²×C₁₁	semidirect
501. #449	C₂²×C₁₁	semidirect
502. #448	C₂²×C₁₁	semidirect
503. #442	C₂²×C₁₁	semidirect
504. #440	C₂²×C₁₁	semidirect
505. C₄×SD₁₆	C₂²×C₁₁	semidirect
506. C₄×D₈	C₂²×C₁₁	semidirect
507. #436	C₂²×C₁₁	semidirect
508. #435	C₂²×C₁₁	semidirect
509. C₈×D₄	C₂²×C₁₁	semidirect
510. #428	C₂²×C₁₁	semidirect
511. C₂×C₄⋊C₈	C₂²×C₁₁	semidirect
513. #417	C₂²×C₁₁	semidirect
514. #416	C₂²×C₁₁	semidirect
515. C₂×#103	C₂²×C₁₁	semidirect
516. #408	C₂²×C₁₁	semidirect
517. C₄×M₁₆	C₂²×C₁₁	semidirect
547. C₄×C₁₁	#577	semidirect
575. AGL(1,ℤ/8)	D₄×C₁₁	semidirect
706. #41	C₂×D₄×C₁₁	semidirect
766. SD₁₆	C₂×D₄×C₁₁	semidirect
768. D₈	C₂×D₄×C₁₁	semidirect
771. M₁₆	C₂×D₄×C₁₁	semidirect
815. C₁₁	#61094	direct (N × H)
918. C₄	C₁₁×#577	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₁₁×#577	2
C₁₁×#3499	2
C₁₁×#3496	2
C₁₁×#3283	2
D₄×C₁₁×SD₁₆	2
C₁₁×#3276	2
C₁₁×#3272	2
C₁₁×#3267	2
C₁₁×#3266	2
C₁₁×#3152	2
C₁₁×#3063	2
C₁₁×#3035	2
C₂×C₁₁×#461	2
C₁₁×#3013	2
C₁₁×#3009	2
C₄×C₁₁×AGL(1,ℤ/8)	2
C₁₁×#2935	2
#61094	11

Subgroups — C11×#61094 #14638287

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61094 #14638287