Subgroups — C₁₁×#61339 #14638532

Order 2816.

1912 conjugacy classes of subgroups.

The subgroup lattice has 832 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	C₁₁×#3501	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3373	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3370	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3366	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3366	C₂	1	4	yes	maximal, complemented
7	C₁₁×#3361	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3358	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3138	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3136	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3081	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3076	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3041	C₂	1	2	yes	maximal, complemented
14	C₂×C₁₁×#459	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2962	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2948	C₂	1	2	yes	maximal, complemented
17	C₄×C₁₁×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
19	C₂²×C₁₁×D₈	C₂²	1	2	yes	—
20	C₁₁×#559	C₂²	1	2	yes	complemented
21	C₁₁×#559	C₂²	1	2	yes	complemented
22	C₁₁×#554	—	2	1	no	—
23	C₁₁×#554	—	2	2	no	—
24	C₁₁×#554	C₂²	1	2	yes	complemented
25	C₁₁×#554	C₂²	1	4	yes	complemented
26	C₁₁×#550	C₂²	1	2	yes	complemented
27	C₁₁×#550	C₂²	1	2	yes	complemented
28	D₄×Q₈×C₁₁	—	2	1	no	—
29	D₄×Q₈×C₁₁	C₂²	1	2	yes	complemented
30	C₁₁×#546	—	2	2	no	—
31	C₁₁×#546	—	2	2	no	—
32	C₁₁×#544	C₂²	1	2	yes	—
33	C₁₁×#543	—	2	2	no	—
34	C₁₁×#540	—	2	2	no	—
35	C₁₁×#535	C₂²	1	2	yes	—
36	C₁₁×#533	C₂²	1	1	yes	characteristic
37	C₁₁×#533	C₂²	1	1	yes	characteristic
38	C₁₁×#532	—	2	1	no	—
39	C₁₁×#532	—	2	1	no	—
40	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic
41	C₂×C₁₁×C₂²⋊Q₈	—	2	2	no	—
42	C₁₁×#518	C₂²	1	2	yes	—
43	C₁₁×#518	C₂²	1	2	yes	—
44	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
46	C₁₁×#490	C₂²	1	4	yes	complemented
47	C₁₁×#490	C₂²	1	4	yes	complemented
48	C₁₁×#489	C₂²	1	4	yes	complemented
49	C₁₁×#488	C₂²	1	4	yes	complemented
50	C₁₁×#486	C₂²	1	4	yes	complemented
51	C₁₁×#486	C₂²	1	2	yes	complemented
52	C₁₁×#486	C₂²	1	2	yes	complemented
53	C₁₁×#479	C₂²	1	2	yes	complemented
54	C₁₁×#478	C₂²	1	2	yes	complemented
55	C₁₁×#478	C₂²	1	4	yes	complemented
56	C₁₁×#478	C₂²	1	4	yes	complemented
57	C₁₁×#477	C₂²	1	1	yes	characteristic, complemented
58	C₁₁×#476	C₂²	1	1	yes	characteristic, complemented
59	C₁₁×#476	C₂²	1	4	yes	complemented
60	C₁₁×#475	C₂²	1	1	yes	characteristic, complemented
61	C₁₁×#474	C₂²	1	1	yes	characteristic, complemented
62	C₁₁×#474	C₂²	1	4	yes	complemented
63	C₁₁×#463	C₂²	1	4	yes	complemented
64	C₁₁×#463	C₂²	1	4	yes	complemented
65	C₁₁×#459	C₂²	1	2	yes	—
66	C₁₁×#459	C₂²	1	4	yes	—
67	C₁₁×#459	C₂²	1	2	yes	—
68	C₁₁×#459	C₂²	1	4	yes	complemented
69	C₁₁×#459	C₂²	1	4	yes	complemented
70	C₁₁×#446	C₂²	1	4	yes	complemented
71	C₁₁×#446	C₂²	1	2	yes	complemented
72	C₈×Q₈×C₁₁	C₂²	1	2	yes	complemented
73	C₁₁×#442	C₂²	1	2	yes	complemented
74	C₁₁×#442	C₂²	1	4	yes	complemented
75	C₁₁×#442	C₂²	1	4	yes	complemented
76	C₁₁×#440	C₂²	1	2	yes	complemented
77	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
78	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
79	C₄×C₁₁×D₈	C₂²	1	4	yes	complemented
80	C₄×C₁₁×D₈	C₂²	1	4	yes	complemented
81	C₁₁×#428	C₂²	1	1	yes	characteristic
82	C₁₁×#427	C₂²	1	2	yes	—
83	C₁₁×#424	C₂²	1	2	yes	—
84	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
85	C₁₁×#418	C₂²	1	1	yes	characteristic
86	C₁₁×#418	C₂²	1	2	yes	—
87	C₁₁×#418	C₂²	1	2	yes	—
88	C₁₁×#417	C₂²	1	1	yes	characteristic
89	C₁₁×#416	C₂²	1	2	yes	—
90	C₂×C₁₁×#102	C₂²	1	2	yes	—
91	C₁₁×#405	C₂²	1	2	yes	—
92	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
93	C₂×C₁₁×#41	—	2	2	no	—
94	C₂×C₁₁×#41	—	2	2	no	—
95	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
96	C₂²×Q₈×C₁₁	—	2	2	no	—
97	C₂²×D₄×C₁₁	—	2	1	no	—
98	C₂²×D₄×C₁₁	—	2	1	no	—
99	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
100	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
101	C₂³×C₄×C₁₁	—	2	1	no	—
102	C₁₁×AGL(1,ℤ/8)	—	2	4	no	—
103	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
104	C₂×C₁₁×D₈	—	2	8	no	—
105	C₂×C₁₁×D₈	C₂³	1	4	yes	—
106	C₂×C₁₁×D₈	C₂³	1	4	yes	—
107	C₂×C₁₁×D₈	C₂³	1	2	yes	—
108	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
109	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
110	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
111	C₁₁×C₄⋊Q₈	—	2	2	no	—
112	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
113	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
114	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
115	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
116	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
117	C₁₁×#127	—	2	1	no	—
118	C₁₁×#127	—	2	1	no	—
119	C₁₁×#127	C₂³	1	2	yes	—
120	C₁₁×#127	C₂³	1	4	yes	—
121	C₁₁×#127	C₂³	1	2	yes	—
122	C₁₁×#125	—	2	2	no	—
123	C₁₁×#125	D₄	1	2	yes	—
124	C₁₁×#125	C₂³	1	2	yes	—
125	C₁₁×#125	C₂³	1	4	yes	—
126	C₁₁×#124	—	2	2	no	—
127	C₁₁×#124	—	2	2	no	—
128	C₁₁×#124	C₂³	1	4	yes	—
129	C₁₁×#123	—	2	4	no	—
130	C₁₁×#123	—	2	4	no	—
131	C₁₁×C₂²⋊Q₈	—	2	2	no	—
132	C₁₁×C₂²⋊Q₈	—	2	4	no	—
133	C₁₁×C₂²⋊Q₈	—	2	1	no	—
134	C₁₁×C₂²⋊Q₈	—	2	1	no	—
135	C₁₁×C₂²⋊Q₈	—	2	2	no	—
136	C₁₁×C₂²⋊Q₈	—	2	4	no	—
137	C₁₁×C₂²⋊Q₈	—	2	4	no	—
138	C₁₁×C₂²⋊Q₈	—	2	4	no	—
139	C₁₁×C₂²⋊Q₈	—	2	4	no	—
140	C₁₁×C₂²⋊Q₈	—	2	4	no	—
141	C₁₁×C₂²⋊Q₈	D₄	1	2	yes	—
142	C₁₁×C₂²⋊Q₈	D₄	1	2	yes	—
143	C₁₁×#121	—	2	2	no	—
144	C₁₁×#121	—	2	2	no	—
145	C₁₁×#121	—	2	2	no	—
146	C₁₁×#121	—	2	2	no	—
147	C₁₁×#121	—	2	4	no	—
148	C₁₁×#121	—	2	4	no	—
149	C₁₁×#120	—	2	4	no	—
150	C₄×Q₈×C₁₁	—	2	1	no	—
151	C₄×Q₈×C₁₁	—	2	1	no	—
152	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
153	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
154	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
155	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
156	C₄×D₄×C₁₁	—	2	1	no	—
157	C₄×D₄×C₁₁	—	2	1	no	—
158	C₄×D₄×C₁₁	—	2	2	no	—
159	C₄×D₄×C₁₁	—	2	2	no	—
160	C₄×D₄×C₁₁	—	2	2	no	—
161	C₄×D₄×C₁₁	—	2	2	no	—
162	C₄×D₄×C₁₁	—	2	2	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	C₂³	1	2	yes	—
167	C₄×D₄×C₁₁	C₂³	1	2	yes	—
168	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
169	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
170	C₄×D₄×C₁₁	C₂³	1	4	yes	—
171	C₄×D₄×C₁₁	C₂³	1	4	yes	—
172	C₄×D₄×C₁₁	C₂³	1	4	yes	—
173	C₄×D₄×C₁₁	C₂³	1	4	yes	—
174	C₁₁×#117	—	2	1	no	—
175	C₁₁×#117	C₂³	1	1	yes	characteristic
176	C₁₁×#117	C₂³	1	2	yes	—
177	C₁₁×#117	C₂³	1	2	yes	—
178	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
179	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
180	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
182	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
183	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
184	C₂×C₄²×C₁₁	—	2	1	no	—
185	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
186	C₁₁×#107	C₂³	1	2	yes	—
187	C₁₁×#107	C₂³	1	2	yes	—
188	C₁₁×#107	C₂³	1	2	yes	—
189	C₁₁×#106	C₂³	1	2	yes	—
190	C₁₁×#106	C₂³	1	2	yes	—
191	C₁₁×#106	C₂³	1	2	yes	—
192	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
193	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
194	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
195	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
196	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
197	C₁₁×#103	C₂³	1	2	yes	—
198	C₁₁×#103	C₂³	1	2	yes	—
199	C₁₁×#103	C₂³	1	2	yes	—
200	C₁₁×#102	C₂³	1	4	yes	—
201	C₁₁×#102	C₂³	1	4	yes	—
202	C₁₁×#102	C₂³	1	2	yes	—
203	C₁₁×#102	C₂³	1	2	yes	—
204	C₁₁×#102	C₂³	1	4	yes	—
205	C₁₁×#102	C₂³	1	4	yes	—
206	C₁₁×#102	C₂³	1	4	yes	—
207	C₁₁×#102	C₂³	1	4	yes	—
208	C₁₁×#102	C₂³	1	2	yes	—
209	C₁₁×#102	C₂³	1	2	yes	—
210	C₁₁×#102	C₂³	1	2	yes	—
211	C₁₁×#97	C₂³	1	4	yes	—
212	C₁₁×#97	C₂³	1	2	yes	—
213	C₄×C₈×C₁₁	C₂³	1	2	yes	—
214	C₄×C₈×C₁₁	C₂³	1	4	yes	—
215	#61339	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
216	C₂⁴×C₁₁	—	2	1	no	—
217	C₂⁴×C₁₁	—	2	2	no	—
218	C₁₁×#41	—	2	2	no	—
219	C₁₁×#41	—	2	2	no	—
220	C₁₁×#41	—	8	4	no	—
221	C₁₁×#41	—	8	4	no	—
222	C₂×Q₈×C₁₁	—	2	1	no	—
223	C₂×Q₈×C₁₁	—	2	1	no	—
224	C₂×Q₈×C₁₁	—	2	4	no	—
225	C₂×Q₈×C₁₁	—	8	4	no	—
226	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
227	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
228	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
229	C₂×D₄×C₁₁	—	2	1	no	—
230	C₂×D₄×C₁₁	—	2	1	no	—
231	C₂×D₄×C₁₁	—	2	2	no	—
232	C₂×D₄×C₁₁	—	2	2	no	—
233	C₂×D₄×C₁₁	—	2	2	no	—
234	C₂×D₄×C₁₁	—	2	4	no	—
235	C₂×D₄×C₁₁	—	2	4	no	—
236	C₂×D₄×C₁₁	—	2	2	no	—
237	C₂×D₄×C₁₁	—	2	2	no	—
238	C₂×D₄×C₁₁	—	2	4	no	—
239	C₂×D₄×C₁₁	—	2	2	no	—
240	C₂×D₄×C₁₁	—	2	4	no	—
241	C₂×D₄×C₁₁	—	8	2	no	—
242	C₂×D₄×C₁₁	—	8	2	no	—
243	C₂×D₄×C₁₁	#41	1	4	yes	complemented
244	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
245	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
246	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
247	C₂²×C₄×C₁₁	—	2	1	no	—
248	C₂²×C₄×C₁₁	—	2	1	no	—
249	C₂²×C₄×C₁₁	—	2	1	no	—
250	C₂²×C₄×C₁₁	—	2	1	no	—
251	C₂²×C₄×C₁₁	—	2	2	no	—
252	C₂²×C₄×C₁₁	—	2	4	no	—
253	C₂²×C₄×C₁₁	—	2	4	no	—
254	C₂²×C₄×C₁₁	—	2	4	no	—
255	C₂²×C₄×C₁₁	—	2	4	no	—
256	C₂²×C₄×C₁₁	—	2	2	no	—
257	C₂²×C₄×C₁₁	—	8	2	no	—
258	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
259	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
260	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
261	C₁₁×SD₁₆	—	2	4	no	—
262	C₁₁×D₈	—	2	8	no	—
263	C₁₁×D₈	—	2	8	no	—
264	C₁₁×D₈	—	2	4	no	—
265	C₁₁×M₁₆	—	2	2	no	—
266	C₁₁×M₁₆	—	2	2	no	—
267	C₂×C₈×C₁₁	—	2	4	no	—
268	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
269	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
270	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
271	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
272	C₁₁×C₄⋊C₄	—	2	2	no	—
273	C₁₁×C₄⋊C₄	—	2	1	no	—
274	C₁₁×C₄⋊C₄	—	2	4	no	—
275	C₁₁×C₄⋊C₄	—	2	4	no	—
276	C₁₁×C₄⋊C₄	—	2	4	no	—
277	C₁₁×C₄⋊C₄	—	2	1	no	—
278	C₁₁×C₄⋊C₄	—	2	1	no	—
279	C₁₁×C₄⋊C₄	—	2	1	no	—
280	C₁₁×C₄⋊C₄	—	2	2	no	—
281	C₁₁×C₄⋊C₄	—	2	1	no	—
282	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
283	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
284	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
285	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
286	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
287	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
288	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
289	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
290	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
291	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
292	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
293	C₁₁×C₂²⋊C₄	—	2	1	no	—
294	C₁₁×C₂²⋊C₄	—	2	2	no	—
295	C₁₁×C₂²⋊C₄	—	2	4	no	—
296	C₁₁×C₂²⋊C₄	—	2	4	no	—
297	C₁₁×C₂²⋊C₄	—	2	4	no	—
298	C₁₁×C₂²⋊C₄	—	2	4	no	—
299	C₁₁×C₂²⋊C₄	—	2	2	no	—
300	C₁₁×C₂²⋊C₄	—	2	2	no	—
301	C₁₁×C₂²⋊C₄	—	2	1	no	—
302	C₁₁×C₂²⋊C₄	—	2	1	no	—
303	C₁₁×C₂²⋊C₄	—	2	4	no	—
304	C₁₁×C₂²⋊C₄	—	2	4	no	—
305	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
306	C₄²×C₁₁	—	2	1	no	—
307	C₄²×C₁₁	—	2	1	no	—
308	C₄²×C₁₁	—	2	1	no	—
309	C₄²×C₁₁	—	2	2	no	—
310	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
311	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
312	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
313	C₄²×C₁₁	C₂⁴	1	4	yes	—
314	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
315	#3508	C₂×C₁₁	1	1	yes	characteristic, complemented
316	#3501	C₂×C₁₁	1	1	yes	characteristic, complemented
317	#3373	C₂×C₁₁	1	2	yes	complemented
318	#3370	C₂×C₁₁	1	4	yes	complemented
319	#3366	C₂×C₁₁	1	2	yes	complemented
320	#3366	C₂×C₁₁	1	4	yes	complemented
321	#3361	C₂×C₁₁	1	2	yes	complemented
322	#3358	C₂×C₁₁	1	2	yes	complemented
323	#3138	C₂×C₁₁	1	1	yes	characteristic, complemented
324	#3136	C₂×C₁₁	1	2	yes	complemented
325	#3081	C₂×C₁₁	1	2	yes	complemented
326	#3076	C₂×C₁₁	1	1	yes	characteristic, complemented
327	#3041	C₂×C₁₁	1	2	yes	complemented
328	C₂×#459	C₂×C₁₁	1	1	yes	characteristic, complemented
329	#2962	C₂×C₁₁	1	1	yes	characteristic, complemented
330	#2948	C₂×C₁₁	1	2	yes	complemented
331	C₄×AGL(1,ℤ/8)	C₂×C₁₁	1	1	yes	characteristic, complemented
332	C₂³×C₁₁	—	2	2	no	—
333	C₂³×C₁₁	—	2	4	no	—
334	C₂³×C₁₁	—	2	4	no	—
335	C₂³×C₁₁	—	2	1	no	—
336	C₂³×C₁₁	—	4	4	no	—
337	C₂³×C₁₁	—	8	1	no	—
338	C₂³×C₁₁	—	8	1	no	—
339	C₂³×C₁₁	—	8	2	no	—
340	C₂³×C₁₁	—	8	2	no	—
341	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
342	Q₈×C₁₁	—	2	4	no	—
343	Q₈×C₁₁	—	2	1	no	—
344	Q₈×C₁₁	—	2	1	no	—
345	Q₈×C₁₁	—	4	2	no	—
346	Q₈×C₁₁	—	4	2	no	—
347	Q₈×C₁₁	—	8	1	no	—
348	Q₈×C₁₁	—	8	4	no	—
349	D₄×C₁₁	—	2	4	no	—
350	D₄×C₁₁	—	2	4	no	—
351	D₄×C₁₁	—	2	1	no	—
352	D₄×C₁₁	—	2	2	no	—
353	D₄×C₁₁	—	2	4	no	—
354	D₄×C₁₁	—	2	1	no	—
355	D₄×C₁₁	—	4	4	no	—
356	D₄×C₁₁	—	4	2	no	—
357	D₄×C₁₁	—	4	4	no	—
358	D₄×C₁₁	—	4	4	no	—
359	D₄×C₁₁	—	8	2	no	—
360	D₄×C₁₁	—	8	2	no	—
361	D₄×C₁₁	—	8	4	no	—
362	D₄×C₁₁	—	8	4	no	—
363	D₄×C₁₁	C₂×#41	1	4	yes	—
364	C₂×C₄×C₁₁	—	2	2	no	—
365	C₂×C₄×C₁₁	—	2	1	no	—
366	C₂×C₄×C₁₁	—	2	1	no	—
367	C₂×C₄×C₁₁	—	2	1	no	—
368	C₂×C₄×C₁₁	—	2	2	no	—
369	C₂×C₄×C₁₁	—	2	2	no	—
370	C₂×C₄×C₁₁	—	2	2	no	—
371	C₂×C₄×C₁₁	—	4	1	no	—
372	C₂×C₄×C₁₁	—	4	2	no	—
373	C₂×C₄×C₁₁	—	4	2	no	—
374	C₂×C₄×C₁₁	—	4	4	no	—
375	C₂×C₄×C₁₁	—	4	2	no	—
376	C₂×C₄×C₁₁	—	8	4	no	—
377	C₂×C₄×C₁₁	—	8	2	no	—
378	C₂×C₄×C₁₁	—	8	4	no	—
379	C₂×C₄×C₁₁	—	8	4	no	—
380	C₂×C₄×C₁₁	—	8	4	no	—
381	C₂×C₄×C₁₁	—	8	1	no	—
382	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
383	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
384	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
385	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
386	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
387	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
388	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
389	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
390	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
391	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
392	C₈×C₁₁	—	2	2	no	—
393	C₈×C₁₁	—	2	2	no	—
394	C₈×C₁₁	—	2	2	no	—
395	C₈×C₁₁	—	2	2	no	—
396	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	1	yes	characteristic
397	C₂²×D₈	C₂²×C₁₁	1	2	yes	—
398	#559	C₂²×C₁₁	1	2	yes	complemented
399	#559	C₂²×C₁₁	1	2	yes	complemented
400	#554	—	2	1	no	—
401	#554	—	2	2	no	—
402	#554	C₂²×C₁₁	1	2	yes	complemented
403	#554	C₂²×C₁₁	1	4	yes	complemented
404	#550	C₂²×C₁₁	1	2	yes	complemented
405	#550	C₂²×C₁₁	1	2	yes	complemented
406	D₄×Q₈	—	2	1	no	—
407	D₄×Q₈	C₂²×C₁₁	1	2	yes	complemented
408	#546	—	2	2	no	—
409	#546	—	2	2	no	—
410	#544	C₂²×C₁₁	1	2	yes	—
411	#543	—	2	2	no	—
412	#540	—	2	2	no	—
413	#535	C₂²×C₁₁	1	2	yes	—
414	#533	C₂²×C₁₁	1	1	yes	characteristic
415	#533	C₂²×C₁₁	1	1	yes	characteristic
416	#532	—	2	1	no	—
417	#532	—	2	1	no	—
418	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
419	C₂×C₂²⋊Q₈	—	2	2	no	—
420	#518	C₂²×C₁₁	1	2	yes	—
421	#518	C₂²×C₁₁	1	2	yes	—
422	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
423	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
424	#490	C₂²×C₁₁	1	4	yes	complemented
425	#490	C₂²×C₁₁	1	4	yes	complemented
426	#489	C₂²×C₁₁	1	4	yes	complemented
427	#488	C₂²×C₁₁	1	4	yes	complemented
428	#486	C₂²×C₁₁	1	4	yes	complemented
429	#486	C₂²×C₁₁	1	2	yes	complemented
430	#486	C₂²×C₁₁	1	2	yes	complemented
431	#479	C₂²×C₁₁	1	2	yes	complemented
432	#478	C₂²×C₁₁	1	2	yes	complemented
433	#478	C₂²×C₁₁	1	4	yes	complemented
434	#478	C₂²×C₁₁	1	4	yes	complemented
435	#477	C₂²×C₁₁	1	1	yes	characteristic, complemented
436	#476	C₂²×C₁₁	1	1	yes	characteristic, complemented
437	#476	C₂²×C₁₁	1	4	yes	complemented
438	#475	C₂²×C₁₁	1	1	yes	characteristic, complemented
439	#474	C₂²×C₁₁	1	1	yes	characteristic, complemented
440	#474	C₂²×C₁₁	1	4	yes	complemented
441	#463	C₂²×C₁₁	1	4	yes	complemented
442	#463	C₂²×C₁₁	1	4	yes	complemented
443	#459	C₂²×C₁₁	1	2	yes	—
444	#459	C₂²×C₁₁	1	4	yes	—
445	#459	C₂²×C₁₁	1	2	yes	—
446	#459	C₂²×C₁₁	1	4	yes	complemented
447	#459	C₂²×C₁₁	1	4	yes	complemented
448	#446	C₂²×C₁₁	1	4	yes	complemented
449	#446	C₂²×C₁₁	1	2	yes	complemented
450	C₈×Q₈	C₂²×C₁₁	1	2	yes	complemented
451	#442	C₂²×C₁₁	1	2	yes	complemented
452	#442	C₂²×C₁₁	1	4	yes	complemented
453	#442	C₂²×C₁₁	1	4	yes	complemented
454	#440	C₂²×C₁₁	1	2	yes	complemented
455	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
456	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
457	C₄×D₈	C₂²×C₁₁	1	4	yes	complemented
458	C₄×D₈	C₂²×C₁₁	1	4	yes	complemented
459	#428	C₂²×C₁₁	1	1	yes	characteristic
460	#427	C₂²×C₁₁	1	2	yes	—
461	#424	C₂²×C₁₁	1	2	yes	—
462	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
463	#418	C₂²×C₁₁	1	2	yes	—
464	#418	C₂²×C₁₁	1	2	yes	—
465	#418	C₂²×C₁₁	1	1	yes	characteristic
466	#417	C₂²×C₁₁	1	1	yes	characteristic
467	#416	C₂²×C₁₁	1	2	yes	—
468	C₂×#102	C₂²×C₁₁	1	2	yes	—
469	#405	C₂²×C₁₁	1	2	yes	—
470	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
471	C₂²×C₁₁	—	2	1	no	—
472	C₂²×C₁₁	—	2	1	no	—
473	C₂²×C₁₁	—	2	4	no	—
474	C₂²×C₁₁	—	4	2	no	—
475	C₂²×C₁₁	—	4	2	no	—
476	C₂²×C₁₁	—	4	1	no	—
477	C₂²×C₁₁	—	4	4	no	—
478	C₂²×C₁₁	—	4	1	no	—
479	C₂²×C₁₁	—	4	4	no	—
480	C₂²×C₁₁	—	4	1	no	—
481	C₂²×C₁₁	—	4	4	no	—
482	C₂²×C₁₁	—	8	4	no	—
483	C₂²×C₁₁	—	16	4	no	—
484	C₂²×C₁₁	#548	1	2	yes	—
485	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
486	C₄×C₁₁	—	2	1	no	—
487	C₄×C₁₁	—	2	1	no	—
488	C₄×C₁₁	—	2	4	no	—
489	C₄×C₁₁	—	2	1	no	—
490	C₄×C₁₁	—	2	4	no	—
491	C₄×C₁₁	—	4	1	no	—
492	C₄×C₁₁	—	4	2	no	—
493	C₄×C₁₁	—	4	1	no	—
494	C₄×C₁₁	—	4	1	no	—
495	C₄×C₁₁	—	4	2	no	—
496	C₄×C₁₁	—	4	2	no	—
497	C₄×C₁₁	#548	1	2	yes	—
498	C₄×C₁₁	#576	1	2	yes	—
499	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
500	C₄×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
501	C₂×#41	—	2	2	no	—
502	C₂×#41	—	2	2	no	—
503	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
504	C₂²×Q₈	—	2	2	no	—
505	C₂²×D₄	—	2	1	no	—
506	C₂²×D₄	—	2	1	no	—
507	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
508	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
509	C₂³×C₄	—	2	1	no	—
510	AGL(1,ℤ/8)	—	2	4	no	—
511	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
512	C₂×D₈	—	2	8	no	—
513	C₂×D₈	C₂³×C₁₁	1	4	yes	—
514	C₂×D₈	C₂³×C₁₁	1	4	yes	—
515	C₂×D₈	C₂³×C₁₁	1	2	yes	—
516	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
517	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
518	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
519	C₄⋊Q₈	—	2	2	no	—
520	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
521	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
522	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
523	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
524	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
525	#127	—	2	1	no	—
526	#127	—	2	1	no	—
527	#127	C₂³×C₁₁	1	2	yes	—
528	#127	C₂³×C₁₁	1	2	yes	—
529	#127	C₂³×C₁₁	1	4	yes	—
530	#125	—	2	2	no	—
531	#125	D₄×C₁₁	1	2	yes	—
532	#125	C₂³×C₁₁	1	2	yes	—
533	#125	C₂³×C₁₁	1	4	yes	—
534	#124	—	2	2	no	—
535	#124	—	2	2	no	—
536	#124	C₂³×C₁₁	1	4	yes	—
537	#123	—	2	4	no	—
538	#123	—	2	4	no	—
539	C₂²⋊Q₈	—	2	2	no	—
540	C₂²⋊Q₈	—	2	4	no	—
541	C₂²⋊Q₈	—	2	1	no	—
542	C₂²⋊Q₈	—	2	1	no	—
543	C₂²⋊Q₈	—	2	2	no	—
544	C₂²⋊Q₈	—	2	4	no	—
545	C₂²⋊Q₈	—	2	4	no	—
546	C₂²⋊Q₈	—	2	4	no	—
547	C₂²⋊Q₈	—	2	4	no	—
548	C₂²⋊Q₈	—	2	4	no	—
549	C₂²⋊Q₈	D₄×C₁₁	1	2	yes	—
550	C₂²⋊Q₈	D₄×C₁₁	1	2	yes	—
551	#121	—	2	2	no	—
552	#121	—	2	2	no	—
553	#121	—	2	2	no	—
554	#121	—	2	2	no	—
555	#121	—	2	4	no	—
556	#121	—	2	4	no	—
557	#120	—	2	4	no	—
558	C₄×Q₈	—	2	1	no	—
559	C₄×Q₈	—	2	1	no	—
560	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
561	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
562	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
563	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
564	C₄×D₄	—	2	1	no	—
565	C₄×D₄	—	2	1	no	—
566	C₄×D₄	—	2	2	no	—
567	C₄×D₄	—	2	2	no	—
568	C₄×D₄	—	2	2	no	—
569	C₄×D₄	—	2	2	no	—
570	C₄×D₄	—	2	2	no	—
571	C₄×D₄	—	2	2	no	—
572	C₄×D₄	—	2	1	no	—
573	C₄×D₄	—	2	1	no	—
574	C₄×D₄	C₂³×C₁₁	1	2	yes	—
575	C₄×D₄	C₂³×C₁₁	1	2	yes	—
576	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
577	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
578	C₄×D₄	C₂³×C₁₁	1	4	yes	—
579	C₄×D₄	C₂³×C₁₁	1	4	yes	—
580	C₄×D₄	C₂³×C₁₁	1	4	yes	—
581	C₄×D₄	C₂³×C₁₁	1	4	yes	—
582	#117	—	2	1	no	—
583	#117	C₂³×C₁₁	1	1	yes	characteristic
584	#117	C₂³×C₁₁	1	2	yes	—
585	#117	C₂³×C₁₁	1	2	yes	—
586	C₂×C₄⋊C₄	—	2	4	no	—
587	C₂×C₄⋊C₄	—	2	2	no	—
588	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
589	C₂×C₂²⋊C₄	—	2	1	no	—
590	C₂×C₂²⋊C₄	—	2	4	no	—
591	C₂×C₂²⋊C₄	—	2	4	no	—
592	C₂×C₄²	—	2	1	no	—
593	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
594	#107	C₂³×C₁₁	1	2	yes	—
595	#107	C₂³×C₁₁	1	2	yes	—
596	#107	C₂³×C₁₁	1	2	yes	—
597	#106	C₂³×C₁₁	1	2	yes	—
598	#106	C₂³×C₁₁	1	2	yes	—
599	#106	C₂³×C₁₁	1	2	yes	—
600	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
601	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
602	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
603	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
604	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
605	#103	C₂³×C₁₁	1	2	yes	—
606	#103	C₂³×C₁₁	1	2	yes	—
607	#103	C₂³×C₁₁	1	2	yes	—
608	#102	C₂³×C₁₁	1	4	yes	—
609	#102	C₂³×C₁₁	1	4	yes	—
610	#102	C₂³×C₁₁	1	2	yes	—
611	#102	C₂³×C₁₁	1	2	yes	—
612	#102	C₂³×C₁₁	1	2	yes	—
613	#102	C₂³×C₁₁	1	2	yes	—
614	#102	C₂³×C₁₁	1	2	yes	—
615	#102	C₂³×C₁₁	1	4	yes	—
616	#102	C₂³×C₁₁	1	4	yes	—
617	#102	C₂³×C₁₁	1	4	yes	—
618	#102	C₂³×C₁₁	1	4	yes	—
619	#97	C₂³×C₁₁	1	2	yes	—
620	#97	C₂³×C₁₁	1	4	yes	—
621	C₄×C₈	C₂³×C₁₁	1	2	yes	—
622	C₄×C₈	C₂³×C₁₁	1	4	yes	—
623	C₂×C₁₁	—	2	2	no	—
624	C₂×C₁₁	—	4	4	no	—
625	C₂×C₁₁	—	8	1	no	—
626	C₂×C₁₁	—	8	4	no	—
627	C₂×C₁₁	C₂×#548	1	1	yes	characteristic
628	C₂×C₁₁	C₂×#576	1	1	yes	characteristic
629	C₂×C₁₁	#3585	1	1	yes	characteristic
630	C₂⁴	—	2	1	no	—
631	C₂⁴	—	2	2	no	—
632	#41	—	2	2	no	—
633	#41	—	2	2	no	—
634	#41	—	8	4	no	—
635	#41	—	8	4	no	—
636	C₂×Q₈	—	2	1	no	—
637	C₂×Q₈	—	2	1	no	—
638	C₂×Q₈	—	2	4	no	—
639	C₂×Q₈	—	8	4	no	—
640	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
641	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
642	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
643	C₂×D₄	—	2	1	no	—
644	C₂×D₄	—	2	1	no	—
645	C₂×D₄	—	2	2	no	—
646	C₂×D₄	—	2	2	no	—
647	C₂×D₄	—	2	2	no	—
648	C₂×D₄	—	2	4	no	—
649	C₂×D₄	—	2	4	no	—
650	C₂×D₄	—	2	2	no	—
651	C₂×D₄	—	2	2	no	—
652	C₂×D₄	—	2	4	no	—
653	C₂×D₄	—	2	2	no	—
654	C₂×D₄	—	2	4	no	—
655	C₂×D₄	—	8	2	no	—
656	C₂×D₄	—	8	2	no	—
657	C₂×D₄	C₁₁×#41	1	4	yes	complemented
658	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
659	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
660	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
661	C₂²×C₄	—	2	1	no	—
662	C₂²×C₄	—	2	1	no	—
663	C₂²×C₄	—	2	1	no	—
664	C₂²×C₄	—	2	1	no	—
665	C₂²×C₄	—	2	2	no	—
666	C₂²×C₄	—	2	4	no	—
667	C₂²×C₄	—	2	4	no	—
668	C₂²×C₄	—	2	4	no	—
669	C₂²×C₄	—	2	4	no	—
670	C₂²×C₄	—	2	2	no	—
671	C₂²×C₄	—	8	2	no	—
672	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
673	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
674	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
675	SD₁₆	—	2	4	no	—
676	D₈	—	2	8	no	—
677	D₈	—	2	8	no	—
678	D₈	—	2	4	no	—
679	M₁₆	—	2	2	no	—
680	M₁₆	—	2	2	no	—
681	C₂×C₈	—	2	4	no	—
682	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
683	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
684	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
685	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
686	C₄⋊C₄	—	2	2	no	—
687	C₄⋊C₄	—	2	1	no	—
688	C₄⋊C₄	—	2	4	no	—
689	C₄⋊C₄	—	2	4	no	—
690	C₄⋊C₄	—	2	4	no	—
691	C₄⋊C₄	—	2	1	no	—
692	C₄⋊C₄	—	2	1	no	—
693	C₄⋊C₄	—	2	1	no	—
694	C₄⋊C₄	—	2	2	no	—
695	C₄⋊C₄	—	2	1	no	—
696	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
697	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
698	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
699	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
700	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
701	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
702	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
703	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
704	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
705	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
706	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
707	C₂²⋊C₄	—	2	1	no	—
708	C₂²⋊C₄	—	2	2	no	—
709	C₂²⋊C₄	—	2	4	no	—
710	C₂²⋊C₄	—	2	4	no	—
711	C₂²⋊C₄	—	2	4	no	—
712	C₂²⋊C₄	—	2	4	no	—
713	C₂²⋊C₄	—	2	2	no	—
714	C₂²⋊C₄	—	2	2	no	—
715	C₂²⋊C₄	—	2	1	no	—
716	C₂²⋊C₄	—	2	1	no	—
717	C₂²⋊C₄	—	2	4	no	—
718	C₂²⋊C₄	—	2	4	no	—
719	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
720	C₄²	—	2	1	no	—
721	C₄²	—	2	1	no	—
722	C₄²	—	2	1	no	—
723	C₄²	—	2	2	no	—
724	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
725	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
726	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
727	C₄²	C₂⁴×C₁₁	1	4	yes	—
728	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
729	C₁₁	#61339	1	1	yes	characteristic, direct product factor, Sylow
730	C₂³	—	2	2	no	—
731	C₂³	—	2	4	no	—
732	C₂³	—	2	4	no	—
733	C₂³	—	2	1	no	—
734	C₂³	—	4	4	no	—
735	C₂³	—	8	1	no	—
736	C₂³	—	8	1	no	—
737	C₂³	—	8	2	no	—
738	C₂³	—	8	2	no	—
739	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
740	Q₈	—	2	4	no	—
741	Q₈	—	2	1	no	—
742	Q₈	—	2	1	no	—
743	Q₈	—	4	2	no	—
744	Q₈	—	4	2	no	—
745	Q₈	—	8	1	no	—
746	Q₈	—	8	4	no	—
747	D₄	—	2	4	no	—
748	D₄	—	2	4	no	—
749	D₄	—	2	1	no	—
750	D₄	—	2	2	no	—
751	D₄	—	2	4	no	—
752	D₄	—	2	1	no	—
753	D₄	—	4	4	no	—
754	D₄	—	4	2	no	—
755	D₄	—	4	4	no	—
756	D₄	—	4	4	no	—
757	D₄	—	8	2	no	—
758	D₄	—	8	2	no	—
759	D₄	—	8	4	no	—
760	D₄	—	8	4	no	—
761	D₄	C₂×C₁₁×#41	1	4	yes	—
762	C₂×C₄	—	2	2	no	—
763	C₂×C₄	—	2	1	no	—
764	C₂×C₄	—	2	1	no	—
765	C₂×C₄	—	2	1	no	—
766	C₂×C₄	—	2	2	no	—
767	C₂×C₄	—	2	2	no	—
768	C₂×C₄	—	2	2	no	—
769	C₂×C₄	—	4	1	no	—
770	C₂×C₄	—	4	2	no	—
771	C₂×C₄	—	4	2	no	—
772	C₂×C₄	—	4	4	no	—
773	C₂×C₄	—	4	2	no	—
774	C₂×C₄	—	8	4	no	—
775	C₂×C₄	—	8	2	no	—
776	C₂×C₄	—	8	4	no	—
777	C₂×C₄	—	8	4	no	—
778	C₂×C₄	—	8	4	no	—
779	C₂×C₄	—	8	1	no	—
780	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
781	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
782	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
783	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
784	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
785	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
786	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
787	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
788	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
789	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
790	C₈	—	2	2	no	—
791	C₈	—	2	2	no	—
792	C₈	—	2	2	no	—
793	C₈	—	2	2	no	—
794	C₂²	—	2	1	no	—
795	C₂²	—	2	1	no	—
796	C₂²	—	2	4	no	—
797	C₂²	—	4	2	no	—
798	C₂²	—	4	2	no	—
799	C₂²	—	4	1	no	—
800	C₂²	—	4	4	no	—
801	C₂²	—	4	1	no	—
802	C₂²	—	4	4	no	—
803	C₂²	—	4	1	no	—
804	C₂²	—	4	4	no	—
805	C₂²	—	8	4	no	—
806	C₂²	—	16	4	no	—
807	C₂²	C₁₁×#548	1	2	yes	—
808	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
809	C₄	—	2	1	no	—
810	C₄	—	2	4	no	—
811	C₄	—	2	1	no	—
812	C₄	—	2	1	no	—
813	C₄	—	2	4	no	—
814	C₄	—	4	1	no	—
815	C₄	—	4	1	no	—
816	C₄	—	4	2	no	—
817	C₄	—	4	2	no	—
818	C₄	—	4	1	no	—
819	C₄	—	4	2	no	—
820	C₄	C₁₁×#548	1	2	yes	—
821	C₄	C₁₁×#576	1	2	yes	—
822	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
823	C₄	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
824	C₂	—	2	2	no	—
825	C₂	—	4	4	no	—
826	C₂	—	8	4	no	—
827	C₂	—	8	1	no	—
828	C₂	C₂×C₁₁×#548	1	1	yes	characteristic
829	C₂	C₂×C₁₁×#576	1	1	yes	characteristic
830	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 ◁ C₁₁×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3508	C₂	semidirect
2. C₁₁×#3501	C₂	semidirect
3. C₁₁×#3373	C₂	semidirect
4. C₁₁×#3370	C₂	semidirect
5. C₁₁×#3366	C₂	semidirect
6. C₁₁×#3366	C₂	semidirect
7. C₁₁×#3361	C₂	semidirect
8. C₁₁×#3358	C₂	semidirect
9. C₁₁×#3138	C₂	semidirect
10. C₁₁×#3136	C₂	semidirect
11. C₁₁×#3081	C₂	semidirect
12. C₁₁×#3076	C₂	semidirect
13. C₁₁×#3041	C₂	semidirect
14. C₂×C₁₁×#459	C₂	semidirect
15. C₁₁×#2962	C₂	semidirect
16. C₁₁×#2948	C₂	semidirect
17. C₄×C₁₁×AGL(1,ℤ/8)	C₂	semidirect
20. C₁₁×#559	C₂²	semidirect
21. C₁₁×#559	C₂²	semidirect
24. C₁₁×#554	C₂²	semidirect
25. C₁₁×#554	C₂²	semidirect
26. C₁₁×#550	C₂²	semidirect
27. C₁₁×#550	C₂²	semidirect
29. D₄×Q₈×C₁₁	C₂²	semidirect
46. C₁₁×#490	C₂²	semidirect
47. C₁₁×#490	C₂²	semidirect
48. C₁₁×#489	C₂²	semidirect
49. C₁₁×#488	C₂²	semidirect
50. C₁₁×#486	C₂²	semidirect
51. C₁₁×#486	C₂²	semidirect
52. C₁₁×#486	C₂²	semidirect
53. C₁₁×#479	C₂²	semidirect
54. C₁₁×#478	C₂²	semidirect
55. C₁₁×#478	C₂²	semidirect
56. C₁₁×#478	C₂²	semidirect
57. C₁₁×#477	C₂²	semidirect
58. C₁₁×#476	C₂²	semidirect
59. C₁₁×#476	C₂²	semidirect
60. C₁₁×#475	C₂²	semidirect
61. C₁₁×#474	C₂²	semidirect
62. C₁₁×#474	C₂²	semidirect
63. C₁₁×#463	C₂²	semidirect
64. C₁₁×#463	C₂²	semidirect
68. C₁₁×#459	C₂²	semidirect
69. C₁₁×#459	C₂²	semidirect
70. C₁₁×#446	C₂²	semidirect
71. C₁₁×#446	C₂²	semidirect
72. C₈×Q₈×C₁₁	C₂²	semidirect
73. C₁₁×#442	C₂²	semidirect
74. C₁₁×#442	C₂²	semidirect
75. C₁₁×#442	C₂²	semidirect
76. C₁₁×#440	C₂²	semidirect
77. C₄×C₁₁×SD₁₆	C₂²	semidirect
78. C₄×C₁₁×D₈	C₂²	semidirect
79. C₄×C₁₁×D₈	C₂²	semidirect
80. C₄×C₁₁×D₈	C₂²	semidirect
215. #61339	C₁₁	direct (N × H)
243. C₂×D₄×C₁₁	#41	semidirect
315. #3508	C₂×C₁₁	semidirect
316. #3501	C₂×C₁₁	semidirect
317. #3373	C₂×C₁₁	semidirect
318. #3370	C₂×C₁₁	semidirect
319. #3366	C₂×C₁₁	semidirect
320. #3366	C₂×C₁₁	semidirect
321. #3361	C₂×C₁₁	semidirect
322. #3358	C₂×C₁₁	semidirect
323. #3138	C₂×C₁₁	semidirect
324. #3136	C₂×C₁₁	semidirect
325. #3081	C₂×C₁₁	semidirect
326. #3076	C₂×C₁₁	semidirect
327. #3041	C₂×C₁₁	semidirect
328. C₂×#459	C₂×C₁₁	semidirect
329. #2962	C₂×C₁₁	semidirect
330. #2948	C₂×C₁₁	semidirect
331. C₄×AGL(1,ℤ/8)	C₂×C₁₁	semidirect
398. #559	C₂²×C₁₁	semidirect
399. #559	C₂²×C₁₁	semidirect
402. #554	C₂²×C₁₁	semidirect
403. #554	C₂²×C₁₁	semidirect
404. #550	C₂²×C₁₁	semidirect
405. #550	C₂²×C₁₁	semidirect
407. D₄×Q₈	C₂²×C₁₁	semidirect
424. #490	C₂²×C₁₁	semidirect
425. #490	C₂²×C₁₁	semidirect
426. #489	C₂²×C₁₁	semidirect
427. #488	C₂²×C₁₁	semidirect
428. #486	C₂²×C₁₁	semidirect
429. #486	C₂²×C₁₁	semidirect
430. #486	C₂²×C₁₁	semidirect
431. #479	C₂²×C₁₁	semidirect
432. #478	C₂²×C₁₁	semidirect
433. #478	C₂²×C₁₁	semidirect
434. #478	C₂²×C₁₁	semidirect
435. #477	C₂²×C₁₁	semidirect
436. #476	C₂²×C₁₁	semidirect
437. #476	C₂²×C₁₁	semidirect
438. #475	C₂²×C₁₁	semidirect
439. #474	C₂²×C₁₁	semidirect
440. #474	C₂²×C₁₁	semidirect
441. #463	C₂²×C₁₁	semidirect
442. #463	C₂²×C₁₁	semidirect
446. #459	C₂²×C₁₁	semidirect
447. #459	C₂²×C₁₁	semidirect
448. #446	C₂²×C₁₁	semidirect
449. #446	C₂²×C₁₁	semidirect
450. C₈×Q₈	C₂²×C₁₁	semidirect
451. #442	C₂²×C₁₁	semidirect
452. #442	C₂²×C₁₁	semidirect
453. #442	C₂²×C₁₁	semidirect
454. #440	C₂²×C₁₁	semidirect
455. C₄×SD₁₆	C₂²×C₁₁	semidirect
456. C₄×D₈	C₂²×C₁₁	semidirect
457. C₄×D₈	C₂²×C₁₁	semidirect
458. C₄×D₈	C₂²×C₁₁	semidirect
657. C₂×D₄	C₁₁×#41	semidirect
729. C₁₁	#61339	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
C₁₁×#3501	2
C₁₁×#3373	2
C₁₁×#3370	2
C₁₁×#3366	2
C₁₁×#3361	2
C₁₁×#3358	2
C₁₁×#3138	2
C₁₁×#3136	2
C₁₁×#3081	2
C₁₁×#3076	2
C₁₁×#3041	2
C₂×C₁₁×#459	2
C₁₁×#2962	2
C₁₁×#2948	2
C₄×C₁₁×AGL(1,ℤ/8)	2
#61339	11

Subgroups — C11×#61339 #14638532

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61339 #14638532