Subgroups — C₁₁×#61346 #14638539

Order 2816.

1782 conjugacy classes of subgroups.

The subgroup lattice has 800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3507	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3503	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3376	C₂	1	4	yes	maximal, complemented
4	C₁₁×#3374	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3373	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3369	C₂	1	4	yes	maximal, complemented
7	C₁₁×#3365	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3359	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3141	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3137	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3084	C₂	1	2	yes	maximal, complemented
12	C₂×C₁₁×#475	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3046	C₂	1	2	yes	maximal, complemented
14	C₁₁×#3035	C₂	1	1	yes	maximal, characteristic
15	C₁₁×#2962	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2952	C₂	1	2	yes	maximal, complemented
17	C₄×C₁₁×#137	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×#137	C₂²	1	1	yes	characteristic
19	C₂×C₁₁×#135	C₂²	1	2	yes	—
20	C₁₁×#559	C₂²	1	2	yes	—
21	Q₈²×C₁₁	C₂²	1	2	yes	—
22	C₁₁×#557	C₂²	1	2	yes	—
23	C₁₁×#557	C₂²	1	2	yes	—
24	C₁₁×#556	—	2	1	no	—
25	C₁₁×#556	C₂²	1	4	yes	—
26	C₁₁×#554	—	2	1	no	—
27	C₁₁×#554	—	2	2	no	—
28	C₁₁×#554	C₂²	1	2	yes	—
29	C₁₁×#552	—	2	2	no	—
30	D₄×Q₈×C₁₁	—	2	2	no	—
31	D₄×Q₈×C₁₁	C₂²	1	2	yes	—
32	C₁₁×#544	—	2	2	no	—
33	C₁₁×#544	C₂²	1	2	yes	—
34	C₁₁×#539	—	2	2	no	—
35	C₁₁×#536	C₂²	1	2	yes	—
36	C₁₁×#533	—	2	1	no	—
37	C₁₁×#533	C₂²	1	1	yes	characteristic
38	C₁₁×#532	C₂²	1	1	yes	characteristic
39	C₂×C₁₁×C₄⋊Q₈	—	2	1	no	—
40	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
41	C₁₁×#529	—	2	2	no	—
42	C₁₁×#520	C₂²	1	2	yes	—
43	C₁₁×#520	C₂²	1	2	yes	—
44	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
45	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
46	C₁₁×#491	C₂²	1	4	yes	—
47	C₁₁×#489	C₂²	1	4	yes	—
48	C₁₁×#489	C₂²	1	4	yes	—
49	C₁₁×#488	C₂²	1	4	yes	—
50	C₁₁×#487	C₂²	1	4	yes	—
51	C₁₁×#487	C₂²	1	2	yes	—
52	C₁₁×#486	C₂²	1	2	yes	—
53	C₁₁×#479	C₂²	1	4	yes	—
54	C₁₁×#478	C₂²	1	4	yes	—
55	C₁₁×#476	C₂²	1	4	yes	—
56	C₁₁×#475	C₂²	1	2	yes	—
57	C₁₁×#475	C₂²	1	4	yes	—
58	C₁₁×#475	C₂²	1	2	yes	—
59	C₁₁×#475	C₂²	1	4	yes	—
60	C₁₁×#464	C₂²	1	2	yes	—
61	C₁₁×#464	C₂²	1	4	yes	—
62	C₁₁×#463	C₂²	1	2	yes	—
63	C₁₁×#463	C₂²	1	4	yes	—
64	C₁₁×#462	C₂²	1	1	yes	characteristic
65	C₁₁×#462	C₂²	1	4	yes	—
66	C₁₁×#461	C₂²	1	1	yes	characteristic
67	C₁₁×#461	C₂²	1	4	yes	—
68	C₁₁×#460	C₂²	1	1	yes	characteristic
69	C₁₁×#459	C₂²	1	1	yes	characteristic
70	C₁₁×#446	C₂²	1	4	yes	—
71	C₁₁×#446	C₂²	1	2	yes	—
72	C₈×Q₈×C₁₁	C₂²	1	2	yes	—
73	C₁₁×#442	C₂²	1	4	yes	—
74	C₁₁×#441	C₂²	1	2	yes	—
75	C₁₁×#441	C₂²	1	4	yes	—
76	C₁₁×#440	C₂²	1	2	yes	—
77	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	—
78	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
79	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	—
80	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	—
81	C₁₁×#428	C₂²	1	1	yes	characteristic
82	C₂×C₁₁×#106	C₂²	1	2	yes	—
83	C₁₁×#424	C₂²	1	2	yes	—
84	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
85	C₁₁×#419	C₂²	1	1	yes	characteristic
86	C₁₁×#417	C₂²	1	1	yes	characteristic
87	C₁₁×#417	C₂²	1	2	yes	—
88	C₁₁×#417	C₂²	1	2	yes	—
89	C₁₁×#416	C₂²	1	2	yes	—
90	C₂×C₁₁×#103	C₂²	1	2	yes	—
91	C₁₁×#405	C₂²	1	2	yes	—
92	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
93	C₂×C₁₁×#41	C₂³	1	2	yes	—
94	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
95	C₂²×Q₈×C₁₁	—	2	2	no	—
96	C₂²×Q₈×C₁₁	—	2	1	no	—
97	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
98	C₁₁×#137	—	2	4	no	—
99	C₁₁×#135	—	2	8	no	—
100	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
101	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
102	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
103	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
104	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
105	C₂×C₁₁×D₈	C₂³	1	2	yes	—
106	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
107	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
108	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
109	C₁₁×C₄⋊Q₈	—	2	2	no	—
110	C₁₁×C₄⋊Q₈	—	2	2	no	—
111	C₁₁×C₄⋊Q₈	—	2	2	no	—
112	C₁₁×C₄⋊Q₈	—	2	4	no	—
113	C₁₁×C₄⋊Q₈	—	2	1	no	—
114	C₁₁×C₄⋊Q₈	—	2	1	no	—
115	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
116	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
117	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
118	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
119	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
120	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
121	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
122	C₁₁×#127	C₂³	1	1	yes	characteristic
123	C₁₁×#126	—	2	4	no	—
124	C₁₁×#126	—	2	4	no	—
125	C₁₁×#125	—	2	2	no	—
126	C₁₁×#125	—	2	2	no	—
127	C₁₁×#125	—	2	4	no	—
128	C₁₁×#125	—	2	4	no	—
129	C₁₁×#125	D₄	1	2	yes	—
130	C₁₁×#125	C₂³	1	4	yes	—
131	C₁₁×#124	—	2	2	no	—
132	C₁₁×#124	C₂³	1	2	yes	—
133	C₁₁×#124	C₂³	1	4	yes	—
134	C₁₁×#123	—	2	4	no	—
135	C₁₁×#123	—	2	4	no	—
136	C₁₁×C₂²⋊Q₈	—	2	2	no	—
137	C₁₁×C₂²⋊Q₈	—	2	4	no	—
138	C₁₁×C₂²⋊Q₈	—	2	2	no	—
139	C₁₁×C₂²⋊Q₈	—	2	2	no	—
140	C₁₁×C₂²⋊Q₈	—	2	2	no	—
141	C₁₁×C₂²⋊Q₈	—	2	4	no	—
142	C₁₁×C₂²⋊Q₈	—	2	4	no	—
143	C₁₁×C₂²⋊Q₈	—	2	4	no	—
144	C₁₁×C₂²⋊Q₈	D₄	1	2	yes	—
145	C₁₁×C₂²⋊Q₈	D₄	1	2	yes	—
146	C₁₁×#121	—	2	1	no	—
147	C₁₁×#121	—	2	1	no	—
148	C₄×Q₈×C₁₁	—	2	2	no	—
149	C₄×Q₈×C₁₁	—	2	2	no	—
150	C₄×Q₈×C₁₁	—	2	2	no	—
151	C₄×Q₈×C₁₁	—	2	1	no	—
152	C₄×Q₈×C₁₁	—	2	1	no	—
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	1	yes	characteristic
157	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
158	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
159	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
160	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
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	4	no	—
165	C₄×D₄×C₁₁	—	2	4	no	—
166	C₄×D₄×C₁₁	—	2	1	no	—
167	C₄×D₄×C₁₁	—	2	1	no	—
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	C₁₁×#117	—	2	2	no	—
173	C₁₁×#117	—	2	2	no	—
174	C₁₁×#117	—	2	4	no	—
175	C₁₁×#117	—	2	1	no	—
176	C₁₁×#117	C₂³	1	1	yes	characteristic
177	C₁₁×#117	C₂³	1	2	yes	—
178	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
179	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
180	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
181	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
182	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
183	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
185	C₂×C₄²×C₁₁	—	2	1	no	—
186	C₂×C₄²×C₁₁	—	2	1	no	—
187	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
188	C₁₁×#107	C₂³	1	2	yes	—
189	C₁₁×#106	C₂³	1	4	yes	—
190	C₁₁×#106	C₂³	1	4	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	4	yes	—
199	C₁₁×#103	C₂³	1	4	yes	—
200	C₁₁×#103	C₂³	1	4	yes	—
201	C₁₁×#103	C₂³	1	2	yes	—
202	C₁₁×#103	C₂³	1	2	yes	—
203	C₁₁×#103	C₂³	1	4	yes	—
204	C₁₁×#103	C₂³	1	2	yes	—
205	C₁₁×#103	C₂³	1	2	yes	—
206	C₁₁×#102	C₂³	1	2	yes	—
207	C₁₁×#102	C₂³	1	4	yes	—
208	C₁₁×#102	C₂³	1	4	yes	—
209	C₁₁×#102	C₂³	1	2	yes	—
210	C₁₁×#102	C₂³	1	2	yes	—
211	C₁₁×#97	C₂³	1	2	yes	—
212	C₁₁×#97	C₂³	1	4	yes	—
213	C₄×C₈×C₁₁	C₂³	1	2	yes	—
214	C₄×C₈×C₁₁	C₂³	1	4	yes	—
215	#61346	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
216	C₁₁×#41	—	2	2	no	—
217	C₁₁×#41	—	2	4	no	—
218	C₁₁×#41	—	2	4	no	—
219	C₁₁×#41	#41	1	4	yes	—
220	C₂×Q₈×C₁₁	—	2	1	no	—
221	C₂×Q₈×C₁₁	—	2	2	no	—
222	C₂×Q₈×C₁₁	—	2	4	no	—
223	C₂×Q₈×C₁₁	—	2	2	no	—
224	C₂×Q₈×C₁₁	—	2	2	no	—
225	C₂×Q₈×C₁₁	—	2	2	no	—
226	C₂×Q₈×C₁₁	—	8	2	no	—
227	C₂×Q₈×C₁₁	—	8	4	no	—
228	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
229	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
230	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
231	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
232	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
233	C₂×D₄×C₁₁	—	2	1	no	—
234	C₂×D₄×C₁₁	—	2	2	no	—
235	C₂×D₄×C₁₁	—	2	1	no	—
236	C₂×D₄×C₁₁	—	2	1	no	—
237	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
238	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
239	C₂²×C₄×C₁₁	—	2	1	no	—
240	C₂²×C₄×C₁₁	—	2	1	no	—
241	C₂²×C₄×C₁₁	—	2	1	no	—
242	C₂²×C₄×C₁₁	—	2	2	no	—
243	C₂²×C₄×C₁₁	—	2	1	no	—
244	C₂²×C₄×C₁₁	—	2	1	no	—
245	C₂²×C₄×C₁₁	—	2	2	no	—
246	C₂²×C₄×C₁₁	—	2	4	no	—
247	C₂²×C₄×C₁₁	—	2	4	no	—
248	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
249	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
250	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
251	C₁₁×Q₁₆	—	2	4	no	—
252	C₁₁×Q₁₆	—	2	4	no	—
253	C₁₁×SD₁₆	—	2	4	no	—
254	C₁₁×SD₁₆	—	2	4	no	—
255	C₁₁×SD₁₆	—	2	4	no	—
256	C₁₁×D₈	—	2	4	no	—
257	C₁₁×M₁₆	—	2	2	no	—
258	C₁₁×M₁₆	—	2	2	no	—
259	C₂×C₈×C₁₁	—	2	4	no	—
260	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
261	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
262	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
263	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
264	C₁₁×C₄⋊C₄	—	2	1	no	—
265	C₁₁×C₄⋊C₄	—	2	2	no	—
266	C₁₁×C₄⋊C₄	—	2	2	no	—
267	C₁₁×C₄⋊C₄	—	2	4	no	—
268	C₁₁×C₄⋊C₄	—	2	4	no	—
269	C₁₁×C₄⋊C₄	—	2	2	no	—
270	C₁₁×C₄⋊C₄	—	2	2	no	—
271	C₁₁×C₄⋊C₄	—	2	2	no	—
272	C₁₁×C₄⋊C₄	—	2	4	no	—
273	C₁₁×C₄⋊C₄	—	2	1	no	—
274	C₁₁×C₄⋊C₄	—	2	1	no	—
275	C₁₁×C₄⋊C₄	—	2	4	no	—
276	C₁₁×C₄⋊C₄	—	2	1	no	—
277	C₁₁×C₄⋊C₄	—	2	1	no	—
278	C₁₁×C₄⋊C₄	—	2	4	no	—
279	C₁₁×C₄⋊C₄	—	2	4	no	—
280	C₁₁×C₄⋊C₄	—	2	4	no	—
281	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
282	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
283	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
284	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
285	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
286	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
287	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
288	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
289	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
290	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
291	C₁₁×C₂²⋊C₄	—	2	1	no	—
292	C₁₁×C₂²⋊C₄	—	2	2	no	—
293	C₁₁×C₂²⋊C₄	—	2	1	no	—
294	C₁₁×C₂²⋊C₄	—	2	1	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	2	no	—
299	C₁₁×C₂²⋊C₄	—	2	4	no	—
300	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
301	C₄²×C₁₁	—	2	2	no	—
302	C₄²×C₁₁	—	2	1	no	—
303	C₄²×C₁₁	—	2	2	no	—
304	C₄²×C₁₁	—	2	1	no	—
305	C₄²×C₁₁	—	2	1	no	—
306	C₄²×C₁₁	—	2	4	no	—
307	C₄²×C₁₁	—	2	4	no	—
308	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
309	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
310	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
311	C₄²×C₁₁	C₂⁴	1	4	yes	—
312	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
313	#3507	C₂×C₁₁	1	1	yes	characteristic, complemented
314	#3503	C₂×C₁₁	1	1	yes	characteristic, complemented
315	#3376	C₂×C₁₁	1	4	yes	complemented
316	#3374	C₂×C₁₁	1	2	yes	complemented
317	#3373	C₂×C₁₁	1	2	yes	complemented
318	#3369	C₂×C₁₁	1	4	yes	complemented
319	#3365	C₂×C₁₁	1	2	yes	complemented
320	#3359	C₂×C₁₁	1	2	yes	complemented
321	#3141	C₂×C₁₁	1	1	yes	characteristic, complemented
322	#3137	C₂×C₁₁	1	2	yes	complemented
323	#3084	C₂×C₁₁	1	2	yes	complemented
324	C₂×#475	C₂×C₁₁	1	1	yes	characteristic, complemented
325	#3046	C₂×C₁₁	1	2	yes	complemented
326	#3035	C₂×C₁₁	1	1	yes	characteristic
327	#2962	C₂×C₁₁	1	1	yes	characteristic, complemented
328	#2952	C₂×C₁₁	1	2	yes	complemented
329	C₄×#137	C₂×C₁₁	1	1	yes	characteristic, complemented
330	C₂³×C₁₁	—	2	1	no	—
331	C₂³×C₁₁	—	2	2	no	—
332	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
333	Q₈×C₁₁	—	2	4	no	—
334	Q₈×C₁₁	—	2	1	no	—
335	Q₈×C₁₁	—	2	2	no	—
336	Q₈×C₁₁	—	2	2	no	—
337	Q₈×C₁₁	—	2	2	no	—
338	Q₈×C₁₁	—	2	2	no	—
339	Q₈×C₁₁	—	4	2	no	—
340	Q₈×C₁₁	—	4	2	no	—
341	Q₈×C₁₁	—	4	4	no	—
342	Q₈×C₁₁	—	8	2	no	—
343	Q₈×C₁₁	—	8	4	no	—
344	Q₈×C₁₁	C₂×#41	1	2	yes	—
345	D₄×C₁₁	—	2	4	no	—
346	D₄×C₁₁	—	2	2	no	—
347	D₄×C₁₁	—	2	1	no	—
348	D₄×C₁₁	—	2	2	no	—
349	D₄×C₁₁	—	4	4	no	—
350	D₄×C₁₁	—	4	2	no	—
351	D₄×C₁₁	—	8	1	no	—
352	D₄×C₁₁	C₂×#41	1	2	yes	—
353	C₂×C₄×C₁₁	—	2	1	no	—
354	C₂×C₄×C₁₁	—	2	4	no	—
355	C₂×C₄×C₁₁	—	2	2	no	—
356	C₂×C₄×C₁₁	—	2	2	no	—
357	C₂×C₄×C₁₁	—	2	2	no	—
358	C₂×C₄×C₁₁	—	2	1	no	—
359	C₂×C₄×C₁₁	—	2	2	no	—
360	C₂×C₄×C₁₁	—	2	1	no	—
361	C₂×C₄×C₁₁	—	2	4	no	—
362	C₂×C₄×C₁₁	—	4	1	no	—
363	C₂×C₄×C₁₁	—	4	2	no	—
364	C₂×C₄×C₁₁	—	4	2	no	—
365	C₂×C₄×C₁₁	—	4	4	no	—
366	C₂×C₄×C₁₁	—	4	2	no	—
367	C₂×C₄×C₁₁	—	8	4	no	—
368	C₂×C₄×C₁₁	—	8	4	no	—
369	C₂×C₄×C₁₁	—	8	1	no	—
370	C₂×C₄×C₁₁	—	8	2	no	—
371	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
372	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
373	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
374	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
375	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
376	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
377	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
378	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
379	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
380	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
381	C₈×C₁₁	—	2	2	no	—
382	C₈×C₁₁	—	2	2	no	—
383	C₈×C₁₁	—	2	2	no	—
384	C₈×C₁₁	—	2	2	no	—
385	C₂×#137	C₂²×C₁₁	1	1	yes	characteristic
386	C₂×#135	C₂²×C₁₁	1	2	yes	—
387	#559	C₂²×C₁₁	1	2	yes	—
388	Q₈²	C₂²×C₁₁	1	2	yes	—
389	#557	C₂²×C₁₁	1	2	yes	—
390	#557	C₂²×C₁₁	1	2	yes	—
391	#556	—	2	1	no	—
392	#556	C₂²×C₁₁	1	4	yes	—
393	#554	—	2	1	no	—
394	#554	—	2	2	no	—
395	#554	C₂²×C₁₁	1	2	yes	—
396	#552	—	2	2	no	—
397	D₄×Q₈	—	2	2	no	—
398	D₄×Q₈	C₂²×C₁₁	1	2	yes	—
399	#544	—	2	2	no	—
400	#544	C₂²×C₁₁	1	2	yes	—
401	#539	—	2	2	no	—
402	#536	C₂²×C₁₁	1	2	yes	—
403	#533	—	2	1	no	—
404	#533	C₂²×C₁₁	1	1	yes	characteristic
405	#532	C₂²×C₁₁	1	1	yes	characteristic
406	C₂×C₄⋊Q₈	—	2	1	no	—
407	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
408	#529	—	2	2	no	—
409	#520	C₂²×C₁₁	1	2	yes	—
410	#520	C₂²×C₁₁	1	2	yes	—
411	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
412	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
413	#491	C₂²×C₁₁	1	4	yes	—
414	#489	C₂²×C₁₁	1	4	yes	—
415	#489	C₂²×C₁₁	1	4	yes	—
416	#488	C₂²×C₁₁	1	4	yes	—
417	#487	C₂²×C₁₁	1	4	yes	—
418	#487	C₂²×C₁₁	1	2	yes	—
419	#486	C₂²×C₁₁	1	2	yes	—
420	#479	C₂²×C₁₁	1	4	yes	—
421	#478	C₂²×C₁₁	1	4	yes	—
422	#476	C₂²×C₁₁	1	4	yes	—
423	#475	C₂²×C₁₁	1	2	yes	—
424	#475	C₂²×C₁₁	1	4	yes	—
425	#475	C₂²×C₁₁	1	2	yes	—
426	#475	C₂²×C₁₁	1	4	yes	—
427	#464	C₂²×C₁₁	1	4	yes	—
428	#464	C₂²×C₁₁	1	2	yes	—
429	#463	C₂²×C₁₁	1	4	yes	—
430	#463	C₂²×C₁₁	1	2	yes	—
431	#462	C₂²×C₁₁	1	4	yes	—
432	#462	C₂²×C₁₁	1	1	yes	characteristic
433	#461	C₂²×C₁₁	1	1	yes	characteristic
434	#461	C₂²×C₁₁	1	4	yes	—
435	#460	C₂²×C₁₁	1	1	yes	characteristic
436	#459	C₂²×C₁₁	1	1	yes	characteristic
437	#446	C₂²×C₁₁	1	4	yes	—
438	#446	C₂²×C₁₁	1	2	yes	—
439	C₈×Q₈	C₂²×C₁₁	1	2	yes	—
440	#442	C₂²×C₁₁	1	4	yes	—
441	#441	C₂²×C₁₁	1	2	yes	—
442	#441	C₂²×C₁₁	1	4	yes	—
443	#440	C₂²×C₁₁	1	2	yes	—
444	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	—
445	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
446	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	—
447	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	—
448	#428	C₂²×C₁₁	1	1	yes	characteristic
449	C₂×#106	C₂²×C₁₁	1	2	yes	—
450	#424	C₂²×C₁₁	1	2	yes	—
451	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
452	#419	C₂²×C₁₁	1	1	yes	characteristic
453	#417	C₂²×C₁₁	1	2	yes	—
454	#417	C₂²×C₁₁	1	2	yes	—
455	#417	C₂²×C₁₁	1	1	yes	characteristic
456	#416	C₂²×C₁₁	1	2	yes	—
457	C₂×#103	C₂²×C₁₁	1	2	yes	—
458	#405	C₂²×C₁₁	1	2	yes	—
459	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
460	C₂²×C₁₁	—	2	1	no	—
461	C₂²×C₁₁	—	2	1	no	—
462	C₂²×C₁₁	—	2	2	no	—
463	C₂²×C₁₁	—	4	1	no	—
464	C₂²×C₁₁	—	4	1	no	—
465	C₂²×C₁₁	—	4	2	no	—
466	C₂²×C₁₁	—	4	2	no	—
467	C₂²×C₁₁	—	4	2	no	—
468	C₂²×C₁₁	#548	1	2	yes	—
469	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
470	C₄×C₁₁	—	2	1	no	—
471	C₄×C₁₁	—	2	1	no	—
472	C₄×C₁₁	—	2	4	no	—
473	C₄×C₁₁	—	2	2	no	—
474	C₄×C₁₁	—	2	1	no	—
475	C₄×C₁₁	—	2	4	no	—
476	C₄×C₁₁	—	4	1	no	—
477	C₄×C₁₁	—	4	2	no	—
478	C₄×C₁₁	—	4	2	no	—
479	C₄×C₁₁	—	4	2	no	—
480	C₄×C₁₁	—	4	1	no	—
481	C₄×C₁₁	—	4	4	no	—
482	C₄×C₁₁	#548	1	2	yes	—
483	C₄×C₁₁	#577	1	2	yes	—
484	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
485	C₄×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
486	C₂×#41	C₂³×C₁₁	1	2	yes	—
487	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
488	C₂²×Q₈	—	2	2	no	—
489	C₂²×Q₈	—	2	1	no	—
490	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
491	#137	—	2	4	no	—
492	#135	—	2	8	no	—
493	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
494	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
495	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
496	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
497	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
498	C₂×D₈	C₂³×C₁₁	1	2	yes	—
499	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
500	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
501	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
502	C₄⋊Q₈	—	2	2	no	—
503	C₄⋊Q₈	—	2	2	no	—
504	C₄⋊Q₈	—	2	2	no	—
505	C₄⋊Q₈	—	2	4	no	—
506	C₄⋊Q₈	—	2	1	no	—
507	C₄⋊Q₈	—	2	1	no	—
508	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
509	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
510	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
511	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
512	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
513	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
514	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
515	#127	C₂³×C₁₁	1	1	yes	characteristic
516	#126	—	2	4	no	—
517	#126	—	2	4	no	—
518	#125	—	2	2	no	—
519	#125	—	2	2	no	—
520	#125	—	2	4	no	—
521	#125	—	2	4	no	—
522	#125	D₄×C₁₁	1	2	yes	—
523	#125	C₂³×C₁₁	1	4	yes	—
524	#124	—	2	2	no	—
525	#124	C₂³×C₁₁	1	2	yes	—
526	#124	C₂³×C₁₁	1	4	yes	—
527	#123	—	2	4	no	—
528	#123	—	2	4	no	—
529	C₂²⋊Q₈	—	2	2	no	—
530	C₂²⋊Q₈	—	2	4	no	—
531	C₂²⋊Q₈	—	2	2	no	—
532	C₂²⋊Q₈	—	2	2	no	—
533	C₂²⋊Q₈	—	2	2	no	—
534	C₂²⋊Q₈	—	2	4	no	—
535	C₂²⋊Q₈	—	2	4	no	—
536	C₂²⋊Q₈	—	2	4	no	—
537	C₂²⋊Q₈	D₄×C₁₁	1	2	yes	—
538	C₂²⋊Q₈	D₄×C₁₁	1	2	yes	—
539	#121	—	2	1	no	—
540	#121	—	2	1	no	—
541	C₄×Q₈	—	2	2	no	—
542	C₄×Q₈	—	2	2	no	—
543	C₄×Q₈	—	2	2	no	—
544	C₄×Q₈	—	2	1	no	—
545	C₄×Q₈	—	2	1	no	—
546	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
547	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
548	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
549	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
550	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
551	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
552	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
553	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
554	C₄×D₄	—	2	1	no	—
555	C₄×D₄	—	2	1	no	—
556	C₄×D₄	—	2	2	no	—
557	C₄×D₄	—	2	4	no	—
558	C₄×D₄	—	2	4	no	—
559	C₄×D₄	—	2	1	no	—
560	C₄×D₄	—	2	1	no	—
561	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
562	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
563	C₄×D₄	C₂³×C₁₁	1	4	yes	—
564	C₄×D₄	C₂³×C₁₁	1	4	yes	—
565	#117	—	2	2	no	—
566	#117	—	2	2	no	—
567	#117	—	2	4	no	—
568	#117	—	2	1	no	—
569	#117	C₂³×C₁₁	1	1	yes	characteristic
570	#117	C₂³×C₁₁	1	2	yes	—
571	C₂×C₄⋊C₄	—	2	1	no	—
572	C₂×C₄⋊C₄	—	2	1	no	—
573	C₂×C₄⋊C₄	—	2	2	no	—
574	C₂×C₄⋊C₄	—	2	2	no	—
575	C₂×C₄⋊C₄	—	2	2	no	—
576	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
577	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
578	C₂×C₄²	—	2	1	no	—
579	C₂×C₄²	—	2	1	no	—
580	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
581	#107	C₂³×C₁₁	1	2	yes	—
582	#106	C₂³×C₁₁	1	4	yes	—
583	#106	C₂³×C₁₁	1	4	yes	—
584	#106	C₂³×C₁₁	1	2	yes	—
585	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
586	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
587	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
588	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
589	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
590	#103	C₂³×C₁₁	1	4	yes	—
591	#103	C₂³×C₁₁	1	4	yes	—
592	#103	C₂³×C₁₁	1	2	yes	—
593	#103	C₂³×C₁₁	1	2	yes	—
594	#103	C₂³×C₁₁	1	2	yes	—
595	#103	C₂³×C₁₁	1	4	yes	—
596	#103	C₂³×C₁₁	1	4	yes	—
597	#103	C₂³×C₁₁	1	2	yes	—
598	#103	C₂³×C₁₁	1	2	yes	—
599	#102	C₂³×C₁₁	1	2	yes	—
600	#102	C₂³×C₁₁	1	2	yes	—
601	#102	C₂³×C₁₁	1	2	yes	—
602	#102	C₂³×C₁₁	1	4	yes	—
603	#102	C₂³×C₁₁	1	4	yes	—
604	#97	C₂³×C₁₁	1	2	yes	—
605	#97	C₂³×C₁₁	1	4	yes	—
606	C₄×C₈	C₂³×C₁₁	1	2	yes	—
607	C₄×C₈	C₂³×C₁₁	1	4	yes	—
608	C₂×C₁₁	—	2	2	no	—
609	C₂×C₁₁	—	4	2	no	—
610	C₂×C₁₁	—	8	2	no	—
611	C₂×C₁₁	C₂×#548	1	1	yes	characteristic
612	C₂×C₁₁	C₂×#577	1	1	yes	characteristic
613	C₂×C₁₁	#3586	1	1	yes	characteristic
614	#41	—	2	2	no	—
615	#41	—	2	4	no	—
616	#41	—	2	4	no	—
617	#41	C₁₁×#41	1	4	yes	—
618	C₂×Q₈	—	2	1	no	—
619	C₂×Q₈	—	2	2	no	—
620	C₂×Q₈	—	2	4	no	—
621	C₂×Q₈	—	2	2	no	—
622	C₂×Q₈	—	2	2	no	—
623	C₂×Q₈	—	2	2	no	—
624	C₂×Q₈	—	8	2	no	—
625	C₂×Q₈	—	8	4	no	—
626	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
627	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
628	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
629	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
630	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
631	C₂×D₄	—	2	1	no	—
632	C₂×D₄	—	2	2	no	—
633	C₂×D₄	—	2	1	no	—
634	C₂×D₄	—	2	1	no	—
635	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
636	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
637	C₂²×C₄	—	2	1	no	—
638	C₂²×C₄	—	2	1	no	—
639	C₂²×C₄	—	2	1	no	—
640	C₂²×C₄	—	2	2	no	—
641	C₂²×C₄	—	2	1	no	—
642	C₂²×C₄	—	2	1	no	—
643	C₂²×C₄	—	2	2	no	—
644	C₂²×C₄	—	2	4	no	—
645	C₂²×C₄	—	2	4	no	—
646	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
647	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
648	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
649	Q₁₆	—	2	4	no	—
650	Q₁₆	—	2	4	no	—
651	SD₁₆	—	2	4	no	—
652	SD₁₆	—	2	4	no	—
653	SD₁₆	—	2	4	no	—
654	D₈	—	2	4	no	—
655	M₁₆	—	2	2	no	—
656	M₁₆	—	2	2	no	—
657	C₂×C₈	—	2	4	no	—
658	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
659	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
660	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
661	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
662	C₄⋊C₄	—	2	1	no	—
663	C₄⋊C₄	—	2	2	no	—
664	C₄⋊C₄	—	2	2	no	—
665	C₄⋊C₄	—	2	4	no	—
666	C₄⋊C₄	—	2	4	no	—
667	C₄⋊C₄	—	2	2	no	—
668	C₄⋊C₄	—	2	2	no	—
669	C₄⋊C₄	—	2	2	no	—
670	C₄⋊C₄	—	2	4	no	—
671	C₄⋊C₄	—	2	1	no	—
672	C₄⋊C₄	—	2	1	no	—
673	C₄⋊C₄	—	2	4	no	—
674	C₄⋊C₄	—	2	1	no	—
675	C₄⋊C₄	—	2	1	no	—
676	C₄⋊C₄	—	2	4	no	—
677	C₄⋊C₄	—	2	4	no	—
678	C₄⋊C₄	—	2	4	no	—
679	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
680	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
681	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
682	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
683	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
684	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
685	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
686	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
687	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
688	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
689	C₂²⋊C₄	—	2	1	no	—
690	C₂²⋊C₄	—	2	2	no	—
691	C₂²⋊C₄	—	2	1	no	—
692	C₂²⋊C₄	—	2	1	no	—
693	C₂²⋊C₄	—	2	4	no	—
694	C₂²⋊C₄	—	2	4	no	—
695	C₂²⋊C₄	—	2	4	no	—
696	C₂²⋊C₄	—	2	2	no	—
697	C₂²⋊C₄	—	2	4	no	—
698	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
699	C₄²	—	2	2	no	—
700	C₄²	—	2	1	no	—
701	C₄²	—	2	2	no	—
702	C₄²	—	2	1	no	—
703	C₄²	—	2	1	no	—
704	C₄²	—	2	4	no	—
705	C₄²	—	2	4	no	—
706	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
707	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
708	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
709	C₄²	C₂⁴×C₁₁	1	4	yes	—
710	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
711	C₁₁	#61346	1	1	yes	characteristic, direct product factor, Sylow
712	C₂³	—	2	1	no	—
713	C₂³	—	2	2	no	—
714	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
715	Q₈	—	2	4	no	—
716	Q₈	—	2	1	no	—
717	Q₈	—	2	2	no	—
718	Q₈	—	2	2	no	—
719	Q₈	—	2	2	no	—
720	Q₈	—	2	2	no	—
721	Q₈	—	4	2	no	—
722	Q₈	—	4	2	no	—
723	Q₈	—	4	4	no	—
724	Q₈	—	8	2	no	—
725	Q₈	—	8	4	no	—
726	Q₈	C₂×C₁₁×#41	1	2	yes	—
727	D₄	—	2	4	no	—
728	D₄	—	2	2	no	—
729	D₄	—	2	1	no	—
730	D₄	—	2	2	no	—
731	D₄	—	4	4	no	—
732	D₄	—	4	2	no	—
733	D₄	—	8	1	no	—
734	D₄	C₂×C₁₁×#41	1	2	yes	—
735	C₂×C₄	—	2	1	no	—
736	C₂×C₄	—	2	4	no	—
737	C₂×C₄	—	2	2	no	—
738	C₂×C₄	—	2	2	no	—
739	C₂×C₄	—	2	2	no	—
740	C₂×C₄	—	2	1	no	—
741	C₂×C₄	—	2	2	no	—
742	C₂×C₄	—	2	1	no	—
743	C₂×C₄	—	2	4	no	—
744	C₂×C₄	—	4	1	no	—
745	C₂×C₄	—	4	2	no	—
746	C₂×C₄	—	4	2	no	—
747	C₂×C₄	—	4	4	no	—
748	C₂×C₄	—	4	2	no	—
749	C₂×C₄	—	8	4	no	—
750	C₂×C₄	—	8	4	no	—
751	C₂×C₄	—	8	1	no	—
752	C₂×C₄	—	8	2	no	—
753	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
754	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
755	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
756	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
757	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
758	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
759	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
760	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
761	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
762	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
763	C₈	—	2	2	no	—
764	C₈	—	2	2	no	—
765	C₈	—	2	2	no	—
766	C₈	—	2	2	no	—
767	C₂²	—	2	1	no	—
768	C₂²	—	2	1	no	—
769	C₂²	—	2	2	no	—
770	C₂²	—	4	1	no	—
771	C₂²	—	4	1	no	—
772	C₂²	—	4	2	no	—
773	C₂²	—	4	2	no	—
774	C₂²	—	4	2	no	—
775	C₂²	C₁₁×#548	1	2	yes	—
776	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
777	C₄	—	2	2	no	—
778	C₄	—	2	1	no	—
779	C₄	—	2	4	no	—
780	C₄	—	2	1	no	—
781	C₄	—	2	1	no	—
782	C₄	—	2	4	no	—
783	C₄	—	4	2	no	—
784	C₄	—	4	2	no	—
785	C₄	—	4	1	no	—
786	C₄	—	4	4	no	—
787	C₄	—	4	1	no	—
788	C₄	—	4	2	no	—
789	C₄	C₁₁×#548	1	2	yes	—
790	C₄	C₁₁×#577	1	2	yes	—
791	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
792	C₄	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
793	C₂	—	2	2	no	—
794	C₂	—	4	2	no	—
795	C₂	—	8	2	no	—
796	C₂	C₂×C₁₁×#548	1	1	yes	characteristic
797	C₂	C₂×C₁₁×#577	1	1	yes	characteristic
798	C₂	C₁₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
prime radical	C₁₁×#3035	C₂
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×#3507	C₂	semidirect
2. C₁₁×#3503	C₂	semidirect
3. C₁₁×#3376	C₂	semidirect
4. C₁₁×#3374	C₂	semidirect
5. C₁₁×#3373	C₂	semidirect
6. C₁₁×#3369	C₂	semidirect
7. C₁₁×#3365	C₂	semidirect
8. C₁₁×#3359	C₂	semidirect
9. C₁₁×#3141	C₂	semidirect
10. C₁₁×#3137	C₂	semidirect
11. C₁₁×#3084	C₂	semidirect
12. C₂×C₁₁×#475	C₂	semidirect
13. C₁₁×#3046	C₂	semidirect
15. C₁₁×#2962	C₂	semidirect
16. C₁₁×#2952	C₂	semidirect
17. C₄×C₁₁×#137	C₂	semidirect
215. #61346	C₁₁	direct (N × H)
313. #3507	C₂×C₁₁	semidirect
314. #3503	C₂×C₁₁	semidirect
315. #3376	C₂×C₁₁	semidirect
316. #3374	C₂×C₁₁	semidirect
317. #3373	C₂×C₁₁	semidirect
318. #3369	C₂×C₁₁	semidirect
319. #3365	C₂×C₁₁	semidirect
320. #3359	C₂×C₁₁	semidirect
321. #3141	C₂×C₁₁	semidirect
322. #3137	C₂×C₁₁	semidirect
323. #3084	C₂×C₁₁	semidirect
324. C₂×#475	C₂×C₁₁	semidirect
325. #3046	C₂×C₁₁	semidirect
327. #2962	C₂×C₁₁	semidirect
328. #2952	C₂×C₁₁	semidirect
329. C₄×#137	C₂×C₁₁	semidirect
711. C₁₁	#61346	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×#3507	2
C₁₁×#3503	2
C₁₁×#3376	2
C₁₁×#3374	2
C₁₁×#3373	2
C₁₁×#3369	2
C₁₁×#3365	2
C₁₁×#3359	2
C₁₁×#3141	2
C₁₁×#3137	2
C₁₁×#3084	2
C₂×C₁₁×#475	2
C₁₁×#3046	2
C₁₁×#3035	2
C₁₁×#2962	2
C₁₁×#2952	2
C₄×C₁₁×#137	2
#61346	11

Subgroups — C11×#61346 #14638539

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61346 #14638539