Subgroups — C₁₁×#61252 #14638445

Order 2816.

2088 conjugacy classes of subgroups.

The subgroup lattice has 918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3475	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₁×#547	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3354	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3353	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3345	C₂	1	4	yes	maximal, complemented
6	C₁₁×#3343	C₂	1	4	yes	maximal, complemented
7	C₁₁×#3335	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3334	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3165	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3094	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3092	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3079	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3077	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3055	C₂	1	2	yes	maximal, complemented
15	C₄×C₁₁×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
16	D₄×C₁₁×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₁₁×#428	C₂	1	2	yes	maximal, complemented
18	C₂²×C₁₁×#41	—	2	1	no	—
19	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
20	C₂²×C₁₁×M₁₆	C₂²	1	2	yes	—
21	C₁₁×#556	C₂²	1	1	yes	characteristic, complemented
22	C₁₁×#555	C₂²	1	1	yes	characteristic, complemented
23	C₁₁×#554	C₂²	1	1	yes	characteristic, complemented
24	C₁₁×#553	C₂²	1	2	yes	complemented
25	C₁₁×#552	—	2	1	no	—
26	C₁₁×#552	C₂²	1	2	yes	complemented
27	C₁₁×#551	—	2	2	no	—
28	C₁₁×#547	—	2	1	no	—
29	C₁₁×#547	—	2	2	no	—
30	C₁₁×#547	—	2	1	no	—
31	C₁₁×#547	C₂²	1	2	yes	—
32	C₁₁×#547	C₂²	1	4	yes	—
33	C₁₁×#547	C₂²	1	2	yes	—
34	C₁₁×#547	C₂²	1	1	yes	characteristic, complemented
35	C₁₁×#546	—	2	1	no	—
36	C₁₁×#533	C₂²	1	1	yes	characteristic
37	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
38	C₁₁×#529	—	2	2	no	—
39	C₁₁×#529	—	2	1	no	—
40	C₁₁×#525	C₂²	1	2	yes	—
41	C₂×C₁₁×#123	—	2	2	no	—
42	C₂×C₁₁×C₂²⋊Q₈	—	2	1	no	—
43	C₂×C₁₁×#121	C₂²	1	2	yes	—
44	C₄×C₁₁×#41	—	2	1	no	—
45	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
48	C₂×C₁₁×#117	C₂²	1	2	yes	—
49	C₂²×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
50	C₁₁×#501	C₂²	1	4	yes	complemented
51	C₁₁×#500	C₂²	1	2	yes	complemented
52	C₁₁×#498	C₂²	1	2	yes	complemented
53	C₁₁×#484	C₂²	1	4	yes	complemented
54	C₁₁×#483	C₂²	1	4	yes	complemented
55	C₁₁×#482	C₂²	1	4	yes	complemented
56	C₁₁×#482	C₂²	1	4	yes	complemented
57	C₁₁×#481	C₂²	1	4	yes	complemented
58	C₁₁×#481	C₂²	1	4	yes	complemented
59	C₁₁×#480	C₂²	1	4	yes	complemented
60	C₁₁×#480	C₂²	1	4	yes	complemented
61	C₁₁×#478	C₂²	1	4	yes	complemented
62	C₁₁×#477	C₂²	1	2	yes	complemented
63	C₁₁×#476	C₂²	1	2	yes	complemented
64	C₁₁×#476	C₂²	1	2	yes	complemented
65	C₁₁×#475	C₂²	1	2	yes	complemented
66	C₁₁×#474	C₂²	1	2	yes	complemented
67	C₁₁×#474	C₂²	1	2	yes	complemented
68	C₁₁×#469	C₂²	1	4	yes	complemented
69	C₁₁×#468	C₂²	1	4	yes	complemented
70	C₁₁×#466	C₂²	1	4	yes	complemented
71	C₁₁×#465	C₂²	1	4	yes	complemented
72	C₁₁×#442	C₂²	1	2	yes	complemented
73	C₁₁×#440	C₂²	1	2	yes	complemented
74	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
75	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
76	C₁₁×#436	C₂²	1	2	yes	complemented
77	C₁₁×#435	C₂²	1	4	yes	complemented
78	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
79	C₁₁×#428	C₂²	1	2	yes	—
80	C₁₁×#428	C₂²	1	2	yes	—
81	C₁₁×#428	C₂²	1	1	yes	characteristic
82	C₁₁×#428	C₂²	1	2	yes	—
83	C₁₁×#428	C₂²	1	2	yes	—
84	C₁₁×#428	C₂²	1	4	yes	complemented
85	C₁₁×#428	C₂²	1	4	yes	complemented
86	C₂×C₁₁×#107	C₂²	1	4	yes	complemented
87	C₂×C₁₁×#106	C₂²	1	4	yes	complemented
88	C₁₁×#423	C₂²	1	1	yes	characteristic
89	C₁₁×#418	C₂²	1	1	yes	characteristic
90	C₁₁×#418	C₂²	1	2	yes	—
91	C₁₁×#417	C₂²	1	1	yes	characteristic
92	C₁₁×#417	C₂²	1	2	yes	—
93	C₁₁×#407	C₂²	1	2	yes	—
94	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
95	C₂×C₁₁×#41	—	2	1	no	—
96	C₂×C₁₁×#41	—	2	4	no	—
97	C₂×C₁₁×#41	—	2	2	no	—
98	C₂×C₁₁×#41	—	2	2	no	—
99	C₂×C₁₁×#41	—	4	8	no	—
100	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
101	C₂²×Q₈×C₁₁	—	2	1	no	—
102	C₂²×D₄×C₁₁	—	2	2	no	—
103	C₂²×D₄×C₁₁	D₄	1	1	yes	characteristic
104	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
105	C₂³×C₄×C₁₁	—	2	2	no	—
106	C₂³×C₄×C₁₁	—	2	1	no	—
107	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
108	C₁₁×AGL(1,ℤ/8)	—	2	4	no	—
109	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
110	C₂×C₁₁×D₈	C₂³	1	2	yes	—
111	C₂×C₁₁×M₁₆	—	2	8	no	—
112	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
113	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
114	C₂×C₁₁×M₁₆	C₂³	1	4	yes	—
115	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
116	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
117	C₁₁×C₄⋊Q₈	—	2	1	no	—
118	C₁₁×C₄⋊Q₈	—	2	1	no	—
119	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
120	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
121	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
122	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
123	C₁₁×#126	—	2	2	no	—
124	C₁₁×#126	—	2	2	no	—
125	C₁₁×#126	—	2	2	no	—
126	C₁₁×#125	—	2	2	no	—
127	C₁₁×#125	—	2	1	no	—
128	C₁₁×#125	C₂³	1	2	yes	—
129	C₁₁×#124	—	2	1	no	—
130	C₁₁×#124	—	2	2	no	—
131	C₁₁×#123	—	2	2	no	—
132	C₁₁×#123	—	2	2	no	—
133	C₁₁×#123	—	2	4	no	—
134	C₁₁×#123	—	2	4	no	—
135	C₁₁×#123	—	2	4	no	—
136	C₁₁×#123	—	2	4	no	—
137	C₁₁×#123	—	2	2	no	—
138	C₁₁×#123	—	2	2	no	—
139	C₁₁×C₂²⋊Q₈	—	2	1	no	—
140	C₁₁×C₂²⋊Q₈	—	2	1	no	—
141	C₁₁×C₂²⋊Q₈	—	2	2	no	—
142	C₁₁×C₂²⋊Q₈	—	2	2	no	—
143	C₁₁×C₂²⋊Q₈	—	2	4	no	—
144	C₁₁×C₂²⋊Q₈	—	2	1	no	—
145	C₁₁×C₂²⋊Q₈	—	2	2	no	—
146	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
147	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
148	C₁₁×#121	—	2	2	no	—
149	C₁₁×#121	—	2	1	no	—
150	C₁₁×#121	—	2	2	no	—
151	C₁₁×#121	—	2	2	no	—
152	C₁₁×#121	C₂³	1	4	yes	—
153	C₁₁×#121	C₂³	1	4	yes	—
154	C₁₁×#121	C₂³	1	2	yes	—
155	C₁₁×#121	C₂³	1	2	yes	—
156	C₁₁×#120	—	2	2	no	—
157	C₄×Q₈×C₁₁	—	2	1	no	—
158	C₄×Q₈×C₁₁	—	2	1	no	—
159	C₄×Q₈×C₁₁	—	2	1	no	—
160	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
161	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
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	1	no	—
166	C₄×D₄×C₁₁	—	2	2	no	—
167	C₄×D₄×C₁₁	—	2	2	no	—
168	C₄×D₄×C₁₁	—	2	1	no	—
169	C₄×D₄×C₁₁	—	2	1	no	—
170	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
171	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
172	C₄×D₄×C₁₁	D₄	1	2	yes	—
173	C₄×D₄×C₁₁	C₂³	1	2	yes	—
174	C₄×D₄×C₁₁	C₂³	1	2	yes	—
175	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
176	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
177	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
178	C₄×D₄×C₁₁	C₂³	1	2	yes	—
179	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
180	C₁₁×#117	—	2	2	no	—
181	C₁₁×#117	—	2	2	no	—
182	C₁₁×#117	—	2	1	no	—
183	C₁₁×#117	—	2	2	no	—
184	C₁₁×#117	—	2	1	no	—
185	C₁₁×#117	C₂³	1	1	yes	characteristic
186	C₁₁×#117	C₂³	1	2	yes	—
187	C₁₁×#117	C₂³	1	2	yes	—
188	C₁₁×#117	C₂³	1	2	yes	—
189	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
190	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
191	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
192	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
193	C₂×C₁₁×C₄⋊C₄	D₄	1	1	yes	characteristic
194	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
196	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
197	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
198	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
199	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
200	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
201	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
202	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
203	C₂×C₁₁×C₂²⋊C₄	D₄	1	2	yes	—
204	C₂×C₄²×C₁₁	—	2	2	no	—
205	C₂×C₄²×C₁₁	—	2	1	no	—
206	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
207	C₁₁×#107	C₂³	1	4	yes	—
208	C₁₁×#107	C₂³	1	4	yes	—
209	C₁₁×#107	C₂³	1	2	yes	—
210	C₁₁×#107	C₂³	1	4	yes	—
211	C₁₁×#107	C₂³	1	4	yes	—
212	C₁₁×#106	C₂³	1	4	yes	—
213	C₁₁×#106	C₂³	1	4	yes	—
214	C₁₁×#106	C₂³	1	2	yes	—
215	C₁₁×#106	C₂³	1	4	yes	—
216	C₁₁×#106	C₂³	1	4	yes	—
217	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
218	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
219	C₁₁×#103	C₂³	1	2	yes	—
220	C₁₁×#103	C₂³	1	4	yes	—
221	C₁₁×#102	C₂³	1	2	yes	—
222	C₁₁×#102	C₂³	1	4	yes	—
223	C₁₁×#102	C₂³	1	2	yes	—
224	C₁₁×#102	C₂³	1	2	yes	—
225	C₁₁×#102	C₂³	1	4	yes	—
226	C₁₁×#102	C₂³	1	4	yes	—
227	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
228	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
229	C₁₁×#97	C₂³	1	2	yes	—
230	C₄×C₈×C₁₁	C₂³	1	2	yes	—
231	#61252	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
232	C₂⁴×C₁₁	—	2	1	no	—
233	C₂⁴×C₁₁	C₂×D₄	1	2	yes	—
234	C₁₁×#41	—	2	2	no	—
235	C₁₁×#41	—	2	2	no	—
236	C₁₁×#41	—	4	16	no	—
237	C₁₁×#41	—	4	8	no	—
238	C₁₁×#41	—	4	4	no	—
239	C₁₁×#41	—	4	8	no	—
240	C₂×Q₈×C₁₁	—	2	1	no	—
241	C₂×Q₈×C₁₁	—	2	2	no	—
242	C₂×Q₈×C₁₁	—	2	2	no	—
243	C₂×Q₈×C₁₁	—	2	1	no	—
244	C₂×Q₈×C₁₁	—	4	4	no	—
245	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
246	C₂×D₄×C₁₁	—	2	4	no	—
247	C₂×D₄×C₁₁	—	2	1	no	—
248	C₂×D₄×C₁₁	—	2	2	no	—
249	C₂×D₄×C₁₁	—	2	4	no	—
250	C₂×D₄×C₁₁	—	2	4	no	—
251	C₂×D₄×C₁₁	—	2	2	no	—
252	C₂×D₄×C₁₁	—	2	1	no	—
253	C₂×D₄×C₁₁	—	2	2	no	—
254	C₂×D₄×C₁₁	—	2	2	no	—
255	C₂×D₄×C₁₁	—	4	8	no	—
256	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
257	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
258	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
259	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
260	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
261	C₂²×C₄×C₁₁	—	2	4	no	—
262	C₂²×C₄×C₁₁	—	2	4	no	—
263	C₂²×C₄×C₁₁	—	2	2	no	—
264	C₂²×C₄×C₁₁	—	2	1	no	—
265	C₂²×C₄×C₁₁	—	2	2	no	—
266	C₂²×C₄×C₁₁	—	2	4	no	—
267	C₂²×C₄×C₁₁	—	2	4	no	—
268	C₂²×C₄×C₁₁	—	2	2	no	—
269	C₂²×C₄×C₁₁	—	2	1	no	—
270	C₂²×C₄×C₁₁	—	2	1	no	—
271	C₂²×C₄×C₁₁	—	2	2	no	—
272	C₂²×C₄×C₁₁	—	2	2	no	—
273	C₂²×C₄×C₁₁	—	2	1	no	—
274	C₂²×C₄×C₁₁	—	4	4	no	—
275	C₂²×C₄×C₁₁	—	4	8	no	—
276	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
277	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
278	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
279	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
280	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
281	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
282	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
283	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
284	C₁₁×SD₁₆	—	2	4	no	—
285	C₁₁×D₈	—	2	4	no	—
286	C₁₁×M₁₆	—	2	8	no	—
287	C₁₁×M₁₆	—	2	4	no	—
288	C₁₁×M₁₆	—	2	2	no	—
289	C₁₁×M₁₆	#41	1	4	yes	complemented
290	C₂×C₈×C₁₁	—	2	8	no	—
291	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
292	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
293	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
294	C₁₁×C₄⋊C₄	—	2	1	no	—
295	C₁₁×C₄⋊C₄	—	2	2	no	—
296	C₁₁×C₄⋊C₄	—	2	4	no	—
297	C₁₁×C₄⋊C₄	—	2	4	no	—
298	C₁₁×C₄⋊C₄	—	2	2	no	—
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	1	no	—
303	C₁₁×C₄⋊C₄	—	2	2	no	—
304	C₁₁×C₄⋊C₄	—	2	2	no	—
305	C₁₁×C₄⋊C₄	—	2	1	no	—
306	C₁₁×C₄⋊C₄	—	2	1	no	—
307	C₁₁×C₄⋊C₄	—	2	2	no	—
308	C₁₁×C₄⋊C₄	—	2	2	no	—
309	C₁₁×C₄⋊C₄	—	2	1	no	—
310	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
311	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
312	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
313	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
314	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
315	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
316	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
317	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
318	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
319	C₁₁×C₂²⋊C₄	—	2	1	no	—
320	C₁₁×C₂²⋊C₄	—	2	2	no	—
321	C₁₁×C₂²⋊C₄	—	2	2	no	—
322	C₁₁×C₂²⋊C₄	—	2	2	no	—
323	C₁₁×C₂²⋊C₄	—	2	2	no	—
324	C₁₁×C₂²⋊C₄	—	2	2	no	—
325	C₁₁×C₂²⋊C₄	—	2	2	no	—
326	C₁₁×C₂²⋊C₄	—	2	2	no	—
327	C₁₁×C₂²⋊C₄	—	2	4	no	—
328	C₁₁×C₂²⋊C₄	—	2	4	no	—
329	C₁₁×C₂²⋊C₄	—	2	2	no	—
330	C₁₁×C₂²⋊C₄	—	2	1	no	—
331	C₁₁×C₂²⋊C₄	—	2	1	no	—
332	C₁₁×C₂²⋊C₄	—	2	2	no	—
333	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
334	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
335	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
336	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
337	C₄²×C₁₁	—	2	1	no	—
338	C₄²×C₁₁	—	2	2	no	—
339	C₄²×C₁₁	—	2	1	no	—
340	C₄²×C₁₁	—	2	2	no	—
341	C₄²×C₁₁	—	2	2	no	—
342	C₄²×C₁₁	—	2	1	no	—
343	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
344	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
345	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
346	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
347	#3475	C₂×C₁₁	1	1	yes	characteristic, complemented
348	C₂×#547	C₂×C₁₁	1	1	yes	characteristic, complemented
349	#3354	C₂×C₁₁	1	2	yes	complemented
350	#3353	C₂×C₁₁	1	2	yes	complemented
351	#3345	C₂×C₁₁	1	4	yes	complemented
352	#3343	C₂×C₁₁	1	4	yes	complemented
353	#3335	C₂×C₁₁	1	2	yes	complemented
354	#3334	C₂×C₁₁	1	2	yes	complemented
355	#3165	C₂×C₁₁	1	1	yes	characteristic, complemented
356	#3094	C₂×C₁₁	1	2	yes	complemented
357	#3092	C₂×C₁₁	1	2	yes	complemented
358	#3079	C₂×C₁₁	1	1	yes	characteristic, complemented
359	#3077	C₂×C₁₁	1	1	yes	characteristic, complemented
360	#3055	C₂×C₁₁	1	2	yes	complemented
361	C₄×AGL(1,ℤ/8)	C₂×C₁₁	1	1	yes	characteristic, complemented
362	D₄×M₁₆	C₂×C₁₁	1	1	yes	characteristic, complemented
363	C₂×#428	C₂×C₁₁	1	2	yes	complemented
364	C₂³×C₁₁	—	2	4	no	—
365	C₂³×C₁₁	—	2	4	no	—
366	C₂³×C₁₁	—	2	1	no	—
367	C₂³×C₁₁	—	2	2	no	—
368	C₂³×C₁₁	—	4	2	no	—
369	C₂³×C₁₁	—	4	2	no	—
370	C₂³×C₁₁	—	4	2	no	—
371	C₂³×C₁₁	—	4	2	no	—
372	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
373	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
374	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
375	Q₈×C₁₁	—	2	1	no	—
376	Q₈×C₁₁	—	2	1	no	—
377	Q₈×C₁₁	—	4	4	no	—
378	Q₈×C₁₁	—	4	4	no	—
379	Q₈×C₁₁	—	4	2	no	—
380	Q₈×C₁₁	—	8	1	no	—
381	D₄×C₁₁	—	2	4	no	—
382	D₄×C₁₁	—	2	2	no	—
383	D₄×C₁₁	—	2	1	no	—
384	D₄×C₁₁	—	2	2	no	—
385	D₄×C₁₁	—	2	2	no	—
386	D₄×C₁₁	—	2	1	no	—
387	D₄×C₁₁	—	4	8	no	—
388	D₄×C₁₁	—	4	2	no	—
389	D₄×C₁₁	—	4	8	no	—
390	D₄×C₁₁	—	4	4	no	—
391	D₄×C₁₁	—	4	2	no	—
392	D₄×C₁₁	—	8	2	no	—
393	D₄×C₁₁	AGL(1,ℤ/8)	1	4	yes	complemented
394	C₂×C₄×C₁₁	—	2	4	no	—
395	C₂×C₄×C₁₁	—	2	4	no	—
396	C₂×C₄×C₁₁	—	2	4	no	—
397	C₂×C₄×C₁₁	—	2	2	no	—
398	C₂×C₄×C₁₁	—	2	2	no	—
399	C₂×C₄×C₁₁	—	2	2	no	—
400	C₂×C₄×C₁₁	—	2	2	no	—
401	C₂×C₄×C₁₁	—	2	2	no	—
402	C₂×C₄×C₁₁	—	2	1	no	—
403	C₂×C₄×C₁₁	—	2	1	no	—
404	C₂×C₄×C₁₁	—	2	1	no	—
405	C₂×C₄×C₁₁	—	2	2	no	—
406	C₂×C₄×C₁₁	—	2	2	no	—
407	C₂×C₄×C₁₁	—	2	2	no	—
408	C₂×C₄×C₁₁	—	2	4	no	—
409	C₂×C₄×C₁₁	—	4	1	no	—
410	C₂×C₄×C₁₁	—	4	4	no	—
411	C₂×C₄×C₁₁	—	4	2	no	—
412	C₂×C₄×C₁₁	—	4	4	no	—
413	C₂×C₄×C₁₁	—	4	8	no	—
414	C₂×C₄×C₁₁	—	4	8	no	—
415	C₂×C₄×C₁₁	—	4	4	no	—
416	C₂×C₄×C₁₁	—	4	2	no	—
417	C₂×C₄×C₁₁	—	4	4	no	—
418	C₂×C₄×C₁₁	—	4	2	no	—
419	C₂×C₄×C₁₁	—	8	1	no	—
420	C₂×C₄×C₁₁	—	8	2	no	—
421	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
422	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
423	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
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	1	yes	characteristic
427	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
428	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
429	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
430	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
431	C₈×C₁₁	—	2	4	no	—
432	C₈×C₁₁	—	2	2	no	—
433	C₈×C₁₁	C₂×#41	1	4	yes	complemented
434	C₂²×#41	—	2	1	no	—
435	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	1	yes	characteristic
436	C₂²×M₁₆	C₂²×C₁₁	1	2	yes	—
437	#556	C₂²×C₁₁	1	1	yes	characteristic, complemented
438	#555	C₂²×C₁₁	1	1	yes	characteristic, complemented
439	#554	C₂²×C₁₁	1	1	yes	characteristic, complemented
440	#553	C₂²×C₁₁	1	2	yes	complemented
441	#552	—	2	1	no	—
442	#552	C₂²×C₁₁	1	2	yes	complemented
443	#551	—	2	2	no	—
444	#547	—	2	1	no	—
445	#547	—	2	2	no	—
446	#547	—	2	1	no	—
447	#547	C₂²×C₁₁	1	2	yes	—
448	#547	C₂²×C₁₁	1	4	yes	—
449	#547	C₂²×C₁₁	1	2	yes	—
450	#547	C₂²×C₁₁	1	1	yes	characteristic, complemented
451	#546	—	2	1	no	—
452	#533	C₂²×C₁₁	1	1	yes	characteristic
453	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
454	#529	—	2	2	no	—
455	#529	—	2	1	no	—
456	#525	C₂²×C₁₁	1	2	yes	—
457	C₂×#123	—	2	2	no	—
458	C₂×C₂²⋊Q₈	—	2	1	no	—
459	C₂×#121	C₂²×C₁₁	1	2	yes	—
460	C₄×#41	—	2	1	no	—
461	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
462	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
463	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
464	C₂×#117	C₂²×C₁₁	1	2	yes	—
465	C₂²×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
466	#501	C₂²×C₁₁	1	4	yes	complemented
467	#500	C₂²×C₁₁	1	2	yes	complemented
468	#498	C₂²×C₁₁	1	2	yes	complemented
469	#484	C₂²×C₁₁	1	4	yes	complemented
470	#483	C₂²×C₁₁	1	4	yes	complemented
471	#482	C₂²×C₁₁	1	4	yes	complemented
472	#482	C₂²×C₁₁	1	4	yes	complemented
473	#481	C₂²×C₁₁	1	4	yes	complemented
474	#481	C₂²×C₁₁	1	4	yes	complemented
475	#480	C₂²×C₁₁	1	4	yes	complemented
476	#480	C₂²×C₁₁	1	4	yes	complemented
477	#478	C₂²×C₁₁	1	4	yes	complemented
478	#477	C₂²×C₁₁	1	2	yes	complemented
479	#476	C₂²×C₁₁	1	2	yes	complemented
480	#476	C₂²×C₁₁	1	2	yes	complemented
481	#475	C₂²×C₁₁	1	2	yes	complemented
482	#474	C₂²×C₁₁	1	2	yes	complemented
483	#474	C₂²×C₁₁	1	2	yes	complemented
484	#469	C₂²×C₁₁	1	4	yes	complemented
485	#468	C₂²×C₁₁	1	4	yes	complemented
486	#466	C₂²×C₁₁	1	4	yes	complemented
487	#465	C₂²×C₁₁	1	4	yes	complemented
488	#442	C₂²×C₁₁	1	2	yes	complemented
489	#440	C₂²×C₁₁	1	2	yes	complemented
490	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
491	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
492	#436	C₂²×C₁₁	1	2	yes	complemented
493	#435	C₂²×C₁₁	1	4	yes	complemented
494	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
495	#428	C₂²×C₁₁	1	2	yes	—
496	#428	C₂²×C₁₁	1	2	yes	—
497	#428	C₂²×C₁₁	1	2	yes	—
498	#428	C₂²×C₁₁	1	2	yes	—
499	#428	C₂²×C₁₁	1	1	yes	characteristic
500	#428	C₂²×C₁₁	1	4	yes	complemented
501	#428	C₂²×C₁₁	1	4	yes	complemented
502	C₂×#107	C₂²×C₁₁	1	4	yes	complemented
503	C₂×#106	C₂²×C₁₁	1	4	yes	complemented
504	#423	C₂²×C₁₁	1	1	yes	characteristic
505	#418	C₂²×C₁₁	1	2	yes	—
506	#418	C₂²×C₁₁	1	1	yes	characteristic
507	#417	C₂²×C₁₁	1	2	yes	—
508	#417	C₂²×C₁₁	1	1	yes	characteristic
509	#407	C₂²×C₁₁	1	2	yes	—
510	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
511	C₂²×C₁₁	—	2	1	no	—
512	C₂²×C₁₁	—	2	2	no	—
513	C₂²×C₁₁	—	2	2	no	—
514	C₂²×C₁₁	—	2	1	no	—
515	C₂²×C₁₁	—	2	2	no	—
516	C₂²×C₁₁	—	2	2	no	—
517	C₂²×C₁₁	—	2	2	no	—
518	C₂²×C₁₁	—	4	8	no	—
519	C₂²×C₁₁	—	4	1	no	—
520	C₂²×C₁₁	—	4	2	no	—
521	C₂²×C₁₁	—	4	1	no	—
522	C₂²×C₁₁	—	4	2	no	—
523	C₂²×C₁₁	—	4	2	no	—
524	C₂²×C₁₁	—	4	1	no	—
525	C₂²×C₁₁	—	8	4	no	—
526	C₂²×C₁₁	#547	1	2	yes	—
527	C₂²×C₁₁	C₂×AGL(1,ℤ/8)	1	4	yes	—
528	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
529	C₄×C₁₁	—	2	1	no	—
530	C₄×C₁₁	—	2	1	no	—
531	C₄×C₁₁	—	2	2	no	—
532	C₄×C₁₁	—	2	2	no	—
533	C₄×C₁₁	—	2	1	no	—
534	C₄×C₁₁	—	4	1	no	—
535	C₄×C₁₁	—	4	2	no	—
536	C₄×C₁₁	—	4	1	no	—
537	C₄×C₁₁	—	4	1	no	—
538	C₄×C₁₁	—	4	2	no	—
539	C₄×C₁₁	—	4	4	no	—
540	C₄×C₁₁	—	4	2	no	—
541	C₄×C₁₁	#547	1	2	yes	—
542	C₄×C₁₁	C₂×AGL(1,ℤ/8)	1	2	yes	—
543	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
544	C₄×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
545	C₂×#41	—	2	1	no	—
546	C₂×#41	—	2	4	no	—
547	C₂×#41	—	2	2	no	—
548	C₂×#41	—	2	2	no	—
549	C₂×#41	—	4	8	no	—
550	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
551	C₂²×Q₈	—	2	1	no	—
552	C₂²×D₄	—	2	2	no	—
553	C₂²×D₄	D₄×C₁₁	1	1	yes	characteristic
554	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
555	C₂³×C₄	—	2	2	no	—
556	C₂³×C₄	—	2	1	no	—
557	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
558	AGL(1,ℤ/8)	—	2	4	no	—
559	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
560	C₂×D₈	C₂³×C₁₁	1	2	yes	—
561	C₂×M₁₆	—	2	8	no	—
562	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
563	C₂×M₁₆	C₂³×C₁₁	1	4	yes	—
564	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
565	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
566	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
567	C₄⋊Q₈	—	2	1	no	—
568	C₄⋊Q₈	—	2	1	no	—
569	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
570	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
571	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
572	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
573	#126	—	2	2	no	—
574	#126	—	2	2	no	—
575	#126	—	2	2	no	—
576	#125	—	2	2	no	—
577	#125	—	2	1	no	—
578	#125	C₂³×C₁₁	1	2	yes	—
579	#124	—	2	1	no	—
580	#124	—	2	2	no	—
581	#123	—	2	2	no	—
582	#123	—	2	2	no	—
583	#123	—	2	4	no	—
584	#123	—	2	4	no	—
585	#123	—	2	4	no	—
586	#123	—	2	4	no	—
587	#123	—	2	2	no	—
588	#123	—	2	2	no	—
589	C₂²⋊Q₈	—	2	1	no	—
590	C₂²⋊Q₈	—	2	1	no	—
591	C₂²⋊Q₈	—	2	2	no	—
592	C₂²⋊Q₈	—	2	2	no	—
593	C₂²⋊Q₈	—	2	4	no	—
594	C₂²⋊Q₈	—	2	1	no	—
595	C₂²⋊Q₈	—	2	2	no	—
596	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
597	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
598	#121	—	2	2	no	—
599	#121	—	2	1	no	—
600	#121	—	2	2	no	—
601	#121	—	2	2	no	—
602	#121	C₂³×C₁₁	1	4	yes	—
603	#121	C₂³×C₁₁	1	4	yes	—
604	#121	C₂³×C₁₁	1	2	yes	—
605	#121	C₂³×C₁₁	1	2	yes	—
606	#120	—	2	2	no	—
607	C₄×Q₈	—	2	1	no	—
608	C₄×Q₈	—	2	1	no	—
609	C₄×Q₈	—	2	1	no	—
610	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
611	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
612	C₄×D₄	—	2	1	no	—
613	C₄×D₄	—	2	2	no	—
614	C₄×D₄	—	2	1	no	—
615	C₄×D₄	—	2	1	no	—
616	C₄×D₄	—	2	2	no	—
617	C₄×D₄	—	2	2	no	—
618	C₄×D₄	—	2	1	no	—
619	C₄×D₄	—	2	1	no	—
620	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
621	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
622	C₄×D₄	D₄×C₁₁	1	2	yes	—
623	C₄×D₄	C₂³×C₁₁	1	2	yes	—
624	C₄×D₄	C₂³×C₁₁	1	2	yes	—
625	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
626	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
627	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
628	C₄×D₄	C₂³×C₁₁	1	2	yes	—
629	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
630	#117	—	2	2	no	—
631	#117	—	2	2	no	—
632	#117	—	2	1	no	—
633	#117	—	2	2	no	—
634	#117	—	2	1	no	—
635	#117	C₂³×C₁₁	1	1	yes	characteristic
636	#117	C₂³×C₁₁	1	2	yes	—
637	#117	C₂³×C₁₁	1	2	yes	—
638	#117	C₂³×C₁₁	1	2	yes	—
639	C₂×C₄⋊C₄	—	2	2	no	—
640	C₂×C₄⋊C₄	—	2	2	no	—
641	C₂×C₄⋊C₄	—	2	2	no	—
642	C₂×C₄⋊C₄	—	2	1	no	—
643	C₂×C₄⋊C₄	D₄×C₁₁	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
646	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
647	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
648	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
649	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
650	C₂×C₂²⋊C₄	—	2	2	no	—
651	C₂×C₂²⋊C₄	—	2	1	no	—
652	C₂×C₂²⋊C₄	—	2	2	no	—
653	C₂×C₂²⋊C₄	D₄×C₁₁	1	2	yes	—
654	C₂×C₄²	—	2	2	no	—
655	C₂×C₄²	—	2	1	no	—
656	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
657	#107	C₂³×C₁₁	1	2	yes	—
658	#107	C₂³×C₁₁	1	4	yes	—
659	#107	C₂³×C₁₁	1	4	yes	—
660	#107	C₂³×C₁₁	1	4	yes	—
661	#107	C₂³×C₁₁	1	4	yes	—
662	#106	C₂³×C₁₁	1	2	yes	—
663	#106	C₂³×C₁₁	1	4	yes	—
664	#106	C₂³×C₁₁	1	4	yes	—
665	#106	C₂³×C₁₁	1	4	yes	—
666	#106	C₂³×C₁₁	1	4	yes	—
667	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
668	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
669	#103	C₂³×C₁₁	1	2	yes	—
670	#103	C₂³×C₁₁	1	4	yes	—
671	#102	C₂³×C₁₁	1	2	yes	—
672	#102	C₂³×C₁₁	1	4	yes	—
673	#102	C₂³×C₁₁	1	2	yes	—
674	#102	C₂³×C₁₁	1	2	yes	—
675	#102	C₂³×C₁₁	1	4	yes	—
676	#102	C₂³×C₁₁	1	4	yes	—
677	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
678	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
679	#97	C₂³×C₁₁	1	2	yes	—
680	C₄×C₈	C₂³×C₁₁	1	2	yes	—
681	C₂×C₁₁	—	2	2	no	—
682	C₂×C₁₁	—	2	4	no	—
683	C₂×C₁₁	—	4	2	no	—
684	C₂×C₁₁	—	8	1	no	—
685	C₂×C₁₁	—	8	2	no	—
686	C₂×C₁₁	C₂×#547	1	1	yes	characteristic
687	C₂×C₁₁	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
688	C₂×C₁₁	#3586	1	1	yes	characteristic
689	C₂⁴	—	2	1	no	—
690	C₂⁴	C₂×D₄×C₁₁	1	2	yes	—
691	#41	—	2	2	no	—
692	#41	—	2	2	no	—
693	#41	—	4	16	no	—
694	#41	—	4	8	no	—
695	#41	—	4	8	no	—
696	#41	—	4	4	no	—
697	C₂×Q₈	—	2	1	no	—
698	C₂×Q₈	—	2	2	no	—
699	C₂×Q₈	—	2	2	no	—
700	C₂×Q₈	—	2	1	no	—
701	C₂×Q₈	—	4	4	no	—
702	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
703	C₂×D₄	—	2	4	no	—
704	C₂×D₄	—	2	1	no	—
705	C₂×D₄	—	2	2	no	—
706	C₂×D₄	—	2	4	no	—
707	C₂×D₄	—	2	4	no	—
708	C₂×D₄	—	2	2	no	—
709	C₂×D₄	—	2	1	no	—
710	C₂×D₄	—	2	2	no	—
711	C₂×D₄	—	2	2	no	—
712	C₂×D₄	—	4	8	no	—
713	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
714	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
715	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
716	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
717	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
718	C₂²×C₄	—	2	4	no	—
719	C₂²×C₄	—	2	4	no	—
720	C₂²×C₄	—	2	2	no	—
721	C₂²×C₄	—	2	1	no	—
722	C₂²×C₄	—	2	2	no	—
723	C₂²×C₄	—	2	4	no	—
724	C₂²×C₄	—	2	4	no	—
725	C₂²×C₄	—	2	2	no	—
726	C₂²×C₄	—	2	1	no	—
727	C₂²×C₄	—	2	1	no	—
728	C₂²×C₄	—	2	2	no	—
729	C₂²×C₄	—	2	2	no	—
730	C₂²×C₄	—	2	1	no	—
731	C₂²×C₄	—	4	4	no	—
732	C₂²×C₄	—	4	8	no	—
733	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
734	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
735	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
736	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
737	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
738	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
739	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
740	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
741	SD₁₆	—	2	4	no	—
742	D₈	—	2	4	no	—
743	M₁₆	—	2	4	no	—
744	M₁₆	—	2	2	no	—
745	M₁₆	—	2	8	no	—
746	M₁₆	C₁₁×#41	1	4	yes	complemented
747	C₂×C₈	—	2	8	no	—
748	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
749	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
750	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
751	C₄⋊C₄	—	2	1	no	—
752	C₄⋊C₄	—	2	2	no	—
753	C₄⋊C₄	—	2	4	no	—
754	C₄⋊C₄	—	2	4	no	—
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	2	no	—
762	C₄⋊C₄	—	2	1	no	—
763	C₄⋊C₄	—	2	1	no	—
764	C₄⋊C₄	—	2	2	no	—
765	C₄⋊C₄	—	2	2	no	—
766	C₄⋊C₄	—	2	1	no	—
767	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
768	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
769	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
770	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
771	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
772	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
773	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
774	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
775	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
776	C₂²⋊C₄	—	2	1	no	—
777	C₂²⋊C₄	—	2	2	no	—
778	C₂²⋊C₄	—	2	2	no	—
779	C₂²⋊C₄	—	2	2	no	—
780	C₂²⋊C₄	—	2	2	no	—
781	C₂²⋊C₄	—	2	2	no	—
782	C₂²⋊C₄	—	2	2	no	—
783	C₂²⋊C₄	—	2	2	no	—
784	C₂²⋊C₄	—	2	4	no	—
785	C₂²⋊C₄	—	2	4	no	—
786	C₂²⋊C₄	—	2	2	no	—
787	C₂²⋊C₄	—	2	1	no	—
788	C₂²⋊C₄	—	2	1	no	—
789	C₂²⋊C₄	—	2	2	no	—
790	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
791	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
792	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
793	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
794	C₄²	—	2	1	no	—
795	C₄²	—	2	2	no	—
796	C₄²	—	2	1	no	—
797	C₄²	—	2	2	no	—
798	C₄²	—	2	2	no	—
799	C₄²	—	2	1	no	—
800	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
801	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
802	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
803	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
804	C₁₁	#61252	1	1	yes	characteristic, direct product factor, Sylow
805	C₂³	—	2	4	no	—
806	C₂³	—	2	4	no	—
807	C₂³	—	2	1	no	—
808	C₂³	—	2	2	no	—
809	C₂³	—	4	2	no	—
810	C₂³	—	4	2	no	—
811	C₂³	—	4	2	no	—
812	C₂³	—	4	2	no	—
813	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
814	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
815	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
816	Q₈	—	2	1	no	—
817	Q₈	—	2	1	no	—
818	Q₈	—	4	4	no	—
819	Q₈	—	4	4	no	—
820	Q₈	—	4	2	no	—
821	Q₈	—	8	1	no	—
822	D₄	—	2	4	no	—
823	D₄	—	2	2	no	—
824	D₄	—	2	1	no	—
825	D₄	—	2	2	no	—
826	D₄	—	2	2	no	—
827	D₄	—	2	1	no	—
828	D₄	—	4	8	no	—
829	D₄	—	4	2	no	—
830	D₄	—	4	8	no	—
831	D₄	—	4	4	no	—
832	D₄	—	4	2	no	—
833	D₄	—	8	2	no	—
834	D₄	C₁₁×AGL(1,ℤ/8)	1	4	yes	complemented
835	C₂×C₄	—	2	4	no	—
836	C₂×C₄	—	2	4	no	—
837	C₂×C₄	—	2	4	no	—
838	C₂×C₄	—	2	2	no	—
839	C₂×C₄	—	2	2	no	—
840	C₂×C₄	—	2	2	no	—
841	C₂×C₄	—	2	2	no	—
842	C₂×C₄	—	2	2	no	—
843	C₂×C₄	—	2	1	no	—
844	C₂×C₄	—	2	1	no	—
845	C₂×C₄	—	2	1	no	—
846	C₂×C₄	—	2	2	no	—
847	C₂×C₄	—	2	2	no	—
848	C₂×C₄	—	2	2	no	—
849	C₂×C₄	—	2	4	no	—
850	C₂×C₄	—	4	1	no	—
851	C₂×C₄	—	4	4	no	—
852	C₂×C₄	—	4	2	no	—
853	C₂×C₄	—	4	4	no	—
854	C₂×C₄	—	4	8	no	—
855	C₂×C₄	—	4	8	no	—
856	C₂×C₄	—	4	4	no	—
857	C₂×C₄	—	4	2	no	—
858	C₂×C₄	—	4	4	no	—
859	C₂×C₄	—	4	2	no	—
860	C₂×C₄	—	8	1	no	—
861	C₂×C₄	—	8	2	no	—
862	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
863	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
864	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
865	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
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	C₂×C₁₁×#41	1	2	yes	—
870	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
871	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
872	C₈	—	2	4	no	—
873	C₈	—	2	2	no	—
874	C₈	C₂×C₁₁×#41	1	4	yes	complemented
875	C₂²	—	2	2	no	—
876	C₂²	—	2	1	no	—
877	C₂²	—	2	1	no	—
878	C₂²	—	2	2	no	—
879	C₂²	—	2	2	no	—
880	C₂²	—	2	2	no	—
881	C₂²	—	2	2	no	—
882	C₂²	—	4	8	no	—
883	C₂²	—	4	1	no	—
884	C₂²	—	4	2	no	—
885	C₂²	—	4	2	no	—
886	C₂²	—	4	1	no	—
887	C₂²	—	4	1	no	—
888	C₂²	—	4	2	no	—
889	C₂²	—	8	4	no	—
890	C₂²	C₁₁×#547	1	2	yes	—
891	C₂²	C₂×C₁₁×AGL(1,ℤ/8)	1	4	yes	—
892	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
893	C₄	—	2	2	no	—
894	C₄	—	2	2	no	—
895	C₄	—	2	1	no	—
896	C₄	—	2	1	no	—
897	C₄	—	2	1	no	—
898	C₄	—	4	1	no	—
899	C₄	—	4	2	no	—
900	C₄	—	4	4	no	—
901	C₄	—	4	1	no	—
902	C₄	—	4	2	no	—
903	C₄	—	4	1	no	—
904	C₄	—	4	2	no	—
905	C₄	C₁₁×#547	1	2	yes	—
906	C₄	C₂×C₁₁×AGL(1,ℤ/8)	1	2	yes	—
907	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
908	C₄	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
909	C₂	—	2	2	no	—
910	C₂	—	2	4	no	—
911	C₂	—	4	2	no	—
912	C₂	—	8	2	no	—
913	C₂	—	8	1	no	—
914	C₂	C₂×C₁₁×#547	1	1	yes	characteristic
915	C₂	C₂²×C₁₁×AGL(1,ℤ/8)	1	1	yes	characteristic
916	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 ◁ C₂×C₄×D₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3475	C₂	semidirect
2. C₂×C₁₁×#547	C₂	semidirect
3. C₁₁×#3354	C₂	semidirect
4. C₁₁×#3353	C₂	semidirect
5. C₁₁×#3345	C₂	semidirect
6. C₁₁×#3343	C₂	semidirect
7. C₁₁×#3335	C₂	semidirect
8. C₁₁×#3334	C₂	semidirect
9. C₁₁×#3165	C₂	semidirect
10. C₁₁×#3094	C₂	semidirect
11. C₁₁×#3092	C₂	semidirect
12. C₁₁×#3079	C₂	semidirect
13. C₁₁×#3077	C₂	semidirect
14. C₁₁×#3055	C₂	semidirect
15. C₄×C₁₁×AGL(1,ℤ/8)	C₂	semidirect
16. D₄×C₁₁×M₁₆	C₂	semidirect
17. C₂×C₁₁×#428	C₂	semidirect
21. C₁₁×#556	C₂²	semidirect
22. C₁₁×#555	C₂²	semidirect
23. C₁₁×#554	C₂²	semidirect
24. C₁₁×#553	C₂²	semidirect
26. C₁₁×#552	C₂²	semidirect
34. C₁₁×#547	C₂²	semidirect
50. C₁₁×#501	C₂²	semidirect
51. C₁₁×#500	C₂²	semidirect
52. C₁₁×#498	C₂²	semidirect
53. C₁₁×#484	C₂²	semidirect
54. C₁₁×#483	C₂²	semidirect
55. C₁₁×#482	C₂²	semidirect
56. C₁₁×#482	C₂²	semidirect
57. C₁₁×#481	C₂²	semidirect
58. C₁₁×#481	C₂²	semidirect
59. C₁₁×#480	C₂²	semidirect
60. C₁₁×#480	C₂²	semidirect
61. C₁₁×#478	C₂²	semidirect
62. C₁₁×#477	C₂²	semidirect
63. C₁₁×#476	C₂²	semidirect
64. C₁₁×#476	C₂²	semidirect
65. C₁₁×#475	C₂²	semidirect
66. C₁₁×#474	C₂²	semidirect
67. C₁₁×#474	C₂²	semidirect
68. C₁₁×#469	C₂²	semidirect
69. C₁₁×#468	C₂²	semidirect
70. C₁₁×#466	C₂²	semidirect
71. C₁₁×#465	C₂²	semidirect
72. C₁₁×#442	C₂²	semidirect
73. C₁₁×#440	C₂²	semidirect
74. C₄×C₁₁×SD₁₆	C₂²	semidirect
75. C₄×C₁₁×D₈	C₂²	semidirect
76. C₁₁×#436	C₂²	semidirect
77. C₁₁×#435	C₂²	semidirect
78. C₈×D₄×C₁₁	C₂²	semidirect
84. C₁₁×#428	C₂²	semidirect
85. C₁₁×#428	C₂²	semidirect
86. C₂×C₁₁×#107	C₂²	semidirect
87. C₂×C₁₁×#106	C₂²	semidirect
231. #61252	C₁₁	direct (N × H)
289. C₁₁×M₁₆	#41	semidirect
347. #3475	C₂×C₁₁	semidirect
348. C₂×#547	C₂×C₁₁	semidirect
349. #3354	C₂×C₁₁	semidirect
350. #3353	C₂×C₁₁	semidirect
351. #3345	C₂×C₁₁	semidirect
352. #3343	C₂×C₁₁	semidirect
353. #3335	C₂×C₁₁	semidirect
354. #3334	C₂×C₁₁	semidirect
355. #3165	C₂×C₁₁	semidirect
356. #3094	C₂×C₁₁	semidirect
357. #3092	C₂×C₁₁	semidirect
358. #3079	C₂×C₁₁	semidirect
359. #3077	C₂×C₁₁	semidirect
360. #3055	C₂×C₁₁	semidirect
361. C₄×AGL(1,ℤ/8)	C₂×C₁₁	semidirect
362. D₄×M₁₆	C₂×C₁₁	semidirect
363. C₂×#428	C₂×C₁₁	semidirect
393. D₄×C₁₁	AGL(1,ℤ/8)	semidirect
433. C₈×C₁₁	C₂×#41	semidirect
437. #556	C₂²×C₁₁	semidirect
438. #555	C₂²×C₁₁	semidirect
439. #554	C₂²×C₁₁	semidirect
440. #553	C₂²×C₁₁	semidirect
442. #552	C₂²×C₁₁	semidirect
450. #547	C₂²×C₁₁	semidirect
466. #501	C₂²×C₁₁	semidirect
467. #500	C₂²×C₁₁	semidirect
468. #498	C₂²×C₁₁	semidirect
469. #484	C₂²×C₁₁	semidirect
470. #483	C₂²×C₁₁	semidirect
471. #482	C₂²×C₁₁	semidirect
472. #482	C₂²×C₁₁	semidirect
473. #481	C₂²×C₁₁	semidirect
474. #481	C₂²×C₁₁	semidirect
475. #480	C₂²×C₁₁	semidirect
476. #480	C₂²×C₁₁	semidirect
477. #478	C₂²×C₁₁	semidirect
478. #477	C₂²×C₁₁	semidirect
479. #476	C₂²×C₁₁	semidirect
480. #476	C₂²×C₁₁	semidirect
481. #475	C₂²×C₁₁	semidirect
482. #474	C₂²×C₁₁	semidirect
483. #474	C₂²×C₁₁	semidirect
484. #469	C₂²×C₁₁	semidirect
485. #468	C₂²×C₁₁	semidirect
486. #466	C₂²×C₁₁	semidirect
487. #465	C₂²×C₁₁	semidirect
488. #442	C₂²×C₁₁	semidirect
489. #440	C₂²×C₁₁	semidirect
490. C₄×SD₁₆	C₂²×C₁₁	semidirect
491. C₄×D₈	C₂²×C₁₁	semidirect
492. #436	C₂²×C₁₁	semidirect
493. #435	C₂²×C₁₁	semidirect
494. C₈×D₄	C₂²×C₁₁	semidirect
500. #428	C₂²×C₁₁	semidirect
501. #428	C₂²×C₁₁	semidirect
502. C₂×#107	C₂²×C₁₁	semidirect
503. C₂×#106	C₂²×C₁₁	semidirect
746. M₁₆	C₁₁×#41	semidirect
804. C₁₁	#61252	direct (N × H)
834. D₄	C₁₁×AGL(1,ℤ/8)	semidirect
874. C₈	C₂×C₁₁×#41	semidirect

Maximal subgroups

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

subgroup	index
C₁₁×#3475	2
C₂×C₁₁×#547	2
C₁₁×#3354	2
C₁₁×#3353	2
C₁₁×#3345	2
C₁₁×#3343	2
C₁₁×#3335	2
C₁₁×#3334	2
C₁₁×#3165	2
C₁₁×#3094	2
C₁₁×#3092	2
C₁₁×#3079	2
C₁₁×#3077	2
C₁₁×#3055	2
C₄×C₁₁×AGL(1,ℤ/8)	2
D₄×C₁₁×M₁₆	2
C₂×C₁₁×#428	2
#61252	11

Subgroups — C11×#61252 #14638445

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61252 #14638445