Subgroups — C₁₁×#36545 #14613738

Order 2816.

2304 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#557	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₄×Q₈×C₁₁	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#2857	C₂	1	1	yes	maximal, characteristic
4	C₁₁×#2851	C₂	1	2	yes	maximal
5	C₁₁×#2584	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2582	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#2581	C₂	1	2	yes	maximal, complemented
8	C₁₁×#2546	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2473	C₂	1	4	yes	maximal
10	C₁₁×#2462	C₂	1	4	yes	maximal, complemented
11	C₁₁×#2446	C₂	1	2	yes	maximal, complemented
12	C₁₁×#2434	C₂	1	2	yes	maximal
13	C₁₁×#2365	C₂	1	2	yes	maximal, complemented
14	C₁₁×#2360	C₂	1	2	yes	maximal
15	C₁₁×#2355	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄×C₁₁×C₂²⋊Q₈	C₂	1	2	yes	maximal
17	C₄×C₁₁×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic
18	C₂³×Q₈×C₁₁	C₂²	1	1	yes	characteristic
19	C₁₁×#557	—	2	8	no	—
20	C₂×C₁₁×C₄⋊Q₈	C₂²	1	2	yes	—
21	C₂×C₁₁×C₄⋊Q₈	C₂²	1	2	yes	—
22	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
23	C₂×C₁₁×#125	C₂²	1	4	yes	—
24	C₂×C₁₁×#125	C₂²	1	2	yes	—
25	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
26	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
27	C₂×C₄×Q₈×C₁₁	—	2	8	no	—
28	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
29	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	—
30	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
31	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	—
32	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
33	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	—
34	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
35	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	—
36	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
37	C₂²×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
38	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
39	C₂²×C₄²×C₁₁	C₂²	1	2	yes	—
40	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
41	C₁₁×#400	C₂²	1	4	yes	—
42	C₁₁×#398	C₂²	1	4	yes	—
43	C₁₁×#398	C₂²	1	4	yes	—
44	C₁₁×#398	C₂²	1	4	yes	—
45	C₁₁×#395	C₂²	1	4	yes	—
46	C₁₁×#395	C₂²	1	4	yes	—
47	C₁₁×#391	C₂²	1	2	yes	—
48	C₁₁×#391	C₂²	1	2	yes	—
49	C₁₁×#391	C₂²	1	2	yes	—
50	C₁₁×#391	C₂²	1	2	yes	—
51	C₁₁×#391	C₂²	1	1	yes	characteristic
52	C₁₁×#391	C₂²	1	2	yes	—
53	C₁₁×#389	C₂²	1	2	yes	—
54	C₁₁×#389	C₂²	1	2	yes	—
55	C₁₁×#389	C₂²	1	4	yes	—
56	C₁₁×#389	C₂²	1	4	yes	—
57	C₁₁×#389	C₂²	1	2	yes	—
58	C₁₁×#389	C₂²	1	2	yes	—
59	C₁₁×#389	C₂²	1	1	yes	characteristic
60	C₁₁×#389	C₂²	1	2	yes	—
61	C₁₁×#389	C₂²	1	2	yes	—
62	C₁₁×#387	C₂²	1	4	yes	—
63	C₁₁×#387	C₂²	1	4	yes	—
64	C₁₁×#387	C₂²	1	2	yes	—
65	C₁₁×#387	C₂²	1	4	yes	—
66	C₁₁×#387	C₂²	1	4	yes	—
67	C₁₁×#387	C₂²	1	4	yes	—
68	C₁₁×#387	C₂²	1	4	yes	—
69	C₁₁×#385	C₂²	1	4	yes	—
70	C₁₁×#385	C₂²	1	4	yes	—
71	C₁₁×#385	C₂²	1	2	yes	—
72	C₁₁×#385	C₂²	1	4	yes	—
73	C₁₁×#384	C₂²	1	1	yes	characteristic
74	C₁₁×#382	C₂²	1	2	yes	—
75	C₁₁×#380	C₂²	1	2	yes	—
76	C₁₁×#380	C₂²	1	1	yes	characteristic
77	C₁₁×#380	C₂²	1	2	yes	—
78	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
79	C₄×C₁₁×C₄⋊C₄	C₂²	1	4	yes	—
80	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
81	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
82	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
83	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
84	C₄×C₁₁×C₂²⋊C₄	C₂²	1	4	yes	—
85	C₂²×Q₈×C₁₁	—	2	4	no	—
86	C₂²×Q₈×C₁₁	—	2	4	no	—
87	C₂²×Q₈×C₁₁	—	2	4	no	—
88	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
89	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
90	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
91	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
92	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
93	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
94	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
95	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
96	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
97	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
98	C₁₁×C₄⋊Q₈	—	2	8	no	—
99	C₁₁×C₄⋊Q₈	—	2	8	no	—
100	C₁₁×C₄⋊Q₈	—	2	4	no	—
101	C₁₁×#125	—	2	16	no	—
102	C₁₁×#125	—	2	8	no	—
103	C₁₁×C₂²⋊Q₈	—	2	8	no	—
104	C₁₁×C₂²⋊Q₈	Q₈	1	8	yes	complemented
105	C₄×Q₈×C₁₁	—	2	4	no	—
106	C₄×Q₈×C₁₁	—	2	4	no	—
107	C₄×Q₈×C₁₁	—	2	8	no	—
108	C₄×Q₈×C₁₁	—	2	8	no	—
109	C₄×Q₈×C₁₁	—	2	8	no	—
110	C₄×Q₈×C₁₁	—	2	4	no	—
111	C₄×Q₈×C₁₁	—	2	8	no	—
112	C₄×Q₈×C₁₁	—	2	4	no	—
113	C₄×Q₈×C₁₁	D₄	1	8	yes	—
114	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
115	C₂×C₁₁×C₄⋊C₄	—	2	8	no	—
116	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
117	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
118	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
119	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
120	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
121	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
122	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
123	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
124	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
125	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
126	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
127	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
128	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
129	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
130	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
131	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
132	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
133	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
134	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
135	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
136	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
137	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
138	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
139	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
140	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
141	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
142	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
143	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
144	C₂×C₄²×C₁₁	—	2	8	no	—
145	C₂×C₄²×C₁₁	—	2	4	no	—
146	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
147	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
148	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
149	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
150	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
151	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
152	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
153	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
154	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
155	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
156	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
157	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
158	C₁₁×#95	C₂³	1	2	yes	—
159	C₁₁×#95	C₂³	1	4	yes	—
160	C₁₁×#95	C₂³	1	2	yes	—
161	C₁₁×#95	C₂³	1	4	yes	—
162	C₁₁×#95	C₂³	1	2	yes	—
163	C₁₁×#95	C₂³	1	4	yes	—
164	C₁₁×#95	C₂³	1	4	yes	—
165	C₁₁×#95	C₂³	1	2	yes	—
166	C₁₁×#95	C₂³	1	4	yes	—
167	C₁₁×#95	C₂³	1	2	yes	—
168	C₁₁×#95	C₂³	1	4	yes	—
169	C₁₁×#95	C₂³	1	4	yes	—
170	C₁₁×#95	C₂³	1	4	yes	—
171	C₁₁×#95	C₂³	1	4	yes	—
172	C₁₁×#95	C₂³	1	4	yes	—
173	#36545	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
174	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
175	C₂×Q₈×C₁₁	—	2	32	no	—
176	C₂×Q₈×C₁₁	—	2	2	no	—
177	C₂×Q₈×C₁₁	—	2	4	no	—
178	C₂×Q₈×C₁₁	—	2	2	no	—
179	C₂×Q₈×C₁₁	—	2	4	no	—
180	C₂×Q₈×C₁₁	—	2	4	no	—
181	C₂×Q₈×C₁₁	—	2	4	no	—
182	C₂×Q₈×C₁₁	—	2	2	no	—
183	C₂×Q₈×C₁₁	—	2	2	no	—
184	C₂×Q₈×C₁₁	—	2	2	no	—
185	C₂×Q₈×C₁₁	—	2	4	no	—
186	C₂×Q₈×C₁₁	—	2	4	no	—
187	C₂×Q₈×C₁₁	—	2	2	no	—
188	C₂×Q₈×C₁₁	C₂×D₄	1	4	yes	—
189	C₂×Q₈×C₁₁	C₂×Q₈	1	4	yes	complemented
190	C₂×Q₈×C₁₁	#41	1	4	yes	—
191	C₂²×C₄×C₁₁	—	2	4	no	—
192	C₂²×C₄×C₁₁	—	2	2	no	—
193	C₂²×C₄×C₁₁	—	2	4	no	—
194	C₂²×C₄×C₁₁	—	2	2	no	—
195	C₂²×C₄×C₁₁	—	2	4	no	—
196	C₂²×C₄×C₁₁	—	2	2	no	—
197	C₂²×C₄×C₁₁	—	2	2	no	—
198	C₂²×C₄×C₁₁	—	2	4	no	—
199	C₂²×C₄×C₁₁	—	2	2	no	—
200	C₂²×C₄×C₁₁	—	2	4	no	—
201	C₂²×C₄×C₁₁	—	2	2	no	—
202	C₂²×C₄×C₁₁	—	4	2	no	—
203	C₂²×C₄×C₁₁	—	4	1	no	—
204	C₂²×C₄×C₁₁	C₂×Q₈	1	4	yes	—
205	C₂²×C₄×C₁₁	#41	1	4	yes	—
206	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
207	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
208	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
209	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
210	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
211	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
212	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
213	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
214	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
215	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
216	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
217	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
218	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
219	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
220	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
221	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
222	C₁₁×C₄⋊C₄	—	2	4	no	—
223	C₁₁×C₄⋊C₄	—	2	4	no	—
224	C₁₁×C₄⋊C₄	—	2	4	no	—
225	C₁₁×C₄⋊C₄	—	2	4	no	—
226	C₁₁×C₄⋊C₄	—	2	2	no	—
227	C₁₁×C₄⋊C₄	—	2	4	no	—
228	C₁₁×C₄⋊C₄	—	2	2	no	—
229	C₁₁×C₄⋊C₄	—	2	8	no	—
230	C₁₁×C₄⋊C₄	—	2	8	no	—
231	C₁₁×C₄⋊C₄	—	2	4	no	—
232	C₁₁×C₄⋊C₄	—	2	8	no	—
233	C₁₁×C₄⋊C₄	—	2	4	no	—
234	C₁₁×C₄⋊C₄	—	2	4	no	—
235	C₁₁×C₄⋊C₄	—	2	8	no	—
236	C₁₁×C₄⋊C₄	—	2	8	no	—
237	C₁₁×C₄⋊C₄	—	2	8	no	—
238	C₁₁×C₄⋊C₄	—	2	2	no	—
239	C₁₁×C₄⋊C₄	—	2	4	no	—
240	C₁₁×C₄⋊C₄	—	4	2	no	—
241	C₁₁×C₄⋊C₄	—	4	2	no	—
242	C₁₁×C₄⋊C₄	—	4	4	no	—
243	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
244	C₁₁×C₄⋊C₄	C₂×D₄	1	8	yes	—
245	C₁₁×C₄⋊C₄	C₂×Q₈	1	4	yes	complemented
246	C₁₁×C₄⋊C₄	C₂×Q₈	1	8	yes	complemented
247	C₁₁×C₂²⋊C₄	—	2	8	no	—
248	C₁₁×C₂²⋊C₄	—	2	4	no	—
249	C₁₁×C₂²⋊C₄	C₂×Q₈	1	8	yes	—
250	C₄²×C₁₁	—	2	4	no	—
251	C₄²×C₁₁	—	2	2	no	—
252	C₄²×C₁₁	—	2	4	no	—
253	C₄²×C₁₁	—	2	2	no	—
254	C₄²×C₁₁	—	2	4	no	—
255	C₄²×C₁₁	—	2	2	no	—
256	C₄²×C₁₁	—	2	8	no	—
257	C₄²×C₁₁	—	2	4	no	—
258	C₄²×C₁₁	—	2	4	no	—
259	C₄²×C₁₁	—	4	4	no	—
260	C₄²×C₁₁	C₂×D₄	1	8	yes	—
261	C₄²×C₁₁	C₂×D₄	1	4	yes	—
262	C₂×#557	C₂×C₁₁	1	1	yes	characteristic, complemented
263	C₂²×C₄×Q₈	C₂×C₁₁	1	1	yes	characteristic
264	#2857	C₂×C₁₁	1	1	yes	characteristic
265	#2851	C₂×C₁₁	1	2	yes	—
266	#2584	C₂×C₁₁	1	2	yes	complemented
267	#2582	C₂×C₁₁	1	1	yes	characteristic, complemented
268	#2581	C₂×C₁₁	1	2	yes	complemented
269	#2546	C₂×C₁₁	1	1	yes	characteristic, complemented
270	#2473	C₂×C₁₁	1	4	yes	—
271	#2462	C₂×C₁₁	1	4	yes	complemented
272	#2446	C₂×C₁₁	1	2	yes	complemented
273	#2434	C₂×C₁₁	1	2	yes	—
274	#2365	C₂×C₁₁	1	2	yes	complemented
275	#2360	C₂×C₁₁	1	2	yes	—
276	#2355	C₂×C₁₁	1	1	yes	characteristic, complemented
277	C₄×C₂²⋊Q₈	C₂×C₁₁	1	2	yes	—
278	C₄×C₂²⋊Q₈	C₂×C₁₁	1	1	yes	characteristic
279	C₂³×C₁₁	—	2	1	no	—
280	C₂³×C₁₁	—	2	1	no	—
281	C₂³×C₁₁	—	2	1	no	—
282	C₂³×C₁₁	—	2	1	no	—
283	C₂³×C₁₁	C₂²×Q₈	1	2	yes	—
284	C₂³×C₁₁	C₂×#41	1	2	yes	—
285	C₂³×C₁₁	2₋¹⁺⁴	1	2	yes	—
286	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
287	Q₈×C₁₁	—	2	16	no	—
288	Q₈×C₁₁	—	2	8	no	—
289	Q₈×C₁₁	—	2	8	no	—
290	Q₈×C₁₁	—	2	8	no	—
291	Q₈×C₁₁	—	4	8	no	—
292	C₂×C₄×C₁₁	—	2	16	no	—
293	C₂×C₄×C₁₁	—	2	1	no	—
294	C₂×C₄×C₁₁	—	2	2	no	—
295	C₂×C₄×C₁₁	—	2	2	no	—
296	C₂×C₄×C₁₁	—	2	1	no	—
297	C₂×C₄×C₁₁	—	2	2	no	—
298	C₂×C₄×C₁₁	—	2	2	no	—
299	C₂×C₄×C₁₁	—	2	2	no	—
300	C₂×C₄×C₁₁	—	2	2	no	—
301	C₂×C₄×C₁₁	—	2	1	no	—
302	C₂×C₄×C₁₁	—	2	1	no	—
303	C₂×C₄×C₁₁	—	2	2	no	—
304	C₂×C₄×C₁₁	—	2	1	no	—
305	C₂×C₄×C₁₁	—	2	2	no	—
306	C₂×C₄×C₁₁	—	2	2	no	—
307	C₂×C₄×C₁₁	—	2	2	no	—
308	C₂×C₄×C₁₁	—	2	1	no	—
309	C₂×C₄×C₁₁	—	2	8	no	—
310	C₂×C₄×C₁₁	—	2	8	no	—
311	C₂×C₄×C₁₁	—	2	2	no	—
312	C₂×C₄×C₁₁	—	2	1	no	—
313	C₂×C₄×C₁₁	—	2	2	no	—
314	C₂×C₄×C₁₁	—	2	4	no	—
315	C₂×C₄×C₁₁	—	2	2	no	—
316	C₂×C₄×C₁₁	—	2	4	no	—
317	C₂×C₄×C₁₁	—	2	4	no	—
318	C₂×C₄×C₁₁	—	2	4	no	—
319	C₂×C₄×C₁₁	—	2	2	no	—
320	C₂×C₄×C₁₁	—	2	2	no	—
321	C₂×C₄×C₁₁	—	2	4	no	—
322	C₂×C₄×C₁₁	—	2	2	no	—
323	C₂×C₄×C₁₁	—	2	2	no	—
324	C₂×C₄×C₁₁	—	2	1	no	—
325	C₂×C₄×C₁₁	—	2	4	no	—
326	C₂×C₄×C₁₁	—	2	2	no	—
327	C₂×C₄×C₁₁	—	2	1	no	—
328	C₂×C₄×C₁₁	—	2	2	no	—
329	C₂×C₄×C₁₁	—	4	8	no	—
330	C₂×C₄×C₁₁	—	4	4	no	—
331	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
332	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
333	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
334	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
335	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
336	C₂×C₄×C₁₁	C₂²×Q₈	1	4	yes	—
337	C₂×C₄×C₁₁	C₂²×Q₈	1	4	yes	—
338	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
339	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
340	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
341	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
342	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
343	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
344	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
345	C₂³×Q₈	C₂²×C₁₁	1	1	yes	characteristic
346	#557	—	2	8	no	—
347	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
348	C₂×C₄⋊Q₈	C₂²×C₁₁	1	2	yes	—
349	C₂×C₄⋊Q₈	C₂²×C₁₁	1	2	yes	—
350	C₂×#125	C₂²×C₁₁	1	2	yes	—
351	C₂×#125	C₂²×C₁₁	1	4	yes	—
352	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
353	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
354	C₂×C₄×Q₈	—	2	8	no	—
355	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	—
356	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	—
357	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
358	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
359	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	—
360	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
361	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
362	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	—
363	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
364	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
365	C₂²×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
366	C₂²×C₄²	C₂²×C₁₁	1	2	yes	—
367	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
368	#400	C₂²×C₁₁	1	4	yes	—
369	#398	C₂²×C₁₁	1	4	yes	—
370	#398	C₂²×C₁₁	1	4	yes	—
371	#398	C₂²×C₁₁	1	4	yes	—
372	#395	C₂²×C₁₁	1	4	yes	—
373	#395	C₂²×C₁₁	1	4	yes	—
374	#391	C₂²×C₁₁	1	1	yes	characteristic
375	#391	C₂²×C₁₁	1	2	yes	—
376	#391	C₂²×C₁₁	1	2	yes	—
377	#391	C₂²×C₁₁	1	2	yes	—
378	#391	C₂²×C₁₁	1	2	yes	—
379	#391	C₂²×C₁₁	1	2	yes	—
380	#389	C₂²×C₁₁	1	2	yes	—
381	#389	C₂²×C₁₁	1	2	yes	—
382	#389	C₂²×C₁₁	1	2	yes	—
383	#389	C₂²×C₁₁	1	2	yes	—
384	#389	C₂²×C₁₁	1	1	yes	characteristic
385	#389	C₂²×C₁₁	1	4	yes	—
386	#389	C₂²×C₁₁	1	4	yes	—
387	#389	C₂²×C₁₁	1	2	yes	—
388	#389	C₂²×C₁₁	1	2	yes	—
389	#387	C₂²×C₁₁	1	4	yes	—
390	#387	C₂²×C₁₁	1	4	yes	—
391	#387	C₂²×C₁₁	1	4	yes	—
392	#387	C₂²×C₁₁	1	4	yes	—
393	#387	C₂²×C₁₁	1	4	yes	—
394	#387	C₂²×C₁₁	1	4	yes	—
395	#387	C₂²×C₁₁	1	2	yes	—
396	#385	C₂²×C₁₁	1	4	yes	—
397	#385	C₂²×C₁₁	1	4	yes	—
398	#385	C₂²×C₁₁	1	4	yes	—
399	#385	C₂²×C₁₁	1	2	yes	—
400	#384	C₂²×C₁₁	1	1	yes	characteristic
401	#382	C₂²×C₁₁	1	2	yes	—
402	#380	C₂²×C₁₁	1	1	yes	characteristic
403	#380	C₂²×C₁₁	1	2	yes	—
404	#380	C₂²×C₁₁	1	2	yes	—
405	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
406	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
407	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
408	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
409	C₄×C₄⋊C₄	C₂²×C₁₁	1	4	yes	—
410	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
411	C₄×C₂²⋊C₄	C₂²×C₁₁	1	4	yes	—
412	C₂²×C₁₁	—	2	2	no	—
413	C₂²×C₁₁	—	2	2	no	—
414	C₂²×C₁₁	—	2	2	no	—
415	C₂²×C₁₁	—	2	2	no	—
416	C₂²×C₁₁	—	2	2	no	—
417	C₂²×C₁₁	—	2	2	no	—
418	C₂²×C₁₁	#557	1	4	yes	complemented
419	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
420	C₂²×C₁₁	C₂³×Q₈	1	1	yes	characteristic
421	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
422	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
423	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
424	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
425	C₂²×C₁₁	#585	1	1	yes	characteristic
426	C₄×C₁₁	—	2	4	no	—
427	C₄×C₁₁	—	2	4	no	—
428	C₄×C₁₁	—	2	2	no	—
429	C₄×C₁₁	—	2	2	no	—
430	C₄×C₁₁	—	2	4	no	—
431	C₄×C₁₁	—	2	4	no	—
432	C₄×C₁₁	—	2	4	no	—
433	C₄×C₁₁	—	2	2	no	—
434	C₄×C₁₁	—	4	4	no	—
435	C₄×C₁₁	—	4	2	no	—
436	C₄×C₁₁	—	4	2	no	—
437	C₄×C₁₁	—	4	1	no	—
438	C₄×C₁₁	—	4	4	no	—
439	C₄×C₁₁	—	4	2	no	—
440	C₄×C₁₁	#525	1	4	yes	—
441	C₄×C₁₁	D₄×Q₈	1	4	yes	—
442	C₂²×Q₈	—	2	4	no	—
443	C₂²×Q₈	—	2	4	no	—
444	C₂²×Q₈	—	2	4	no	—
445	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
446	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
447	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
448	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
449	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
450	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
451	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
452	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
453	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
454	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
455	C₄⋊Q₈	—	2	8	no	—
456	C₄⋊Q₈	—	2	8	no	—
457	C₄⋊Q₈	—	2	4	no	—
458	#125	—	2	16	no	—
459	#125	—	2	8	no	—
460	C₂²⋊Q₈	—	2	8	no	—
461	C₂²⋊Q₈	Q₈×C₁₁	1	8	yes	complemented
462	C₄×Q₈	—	2	4	no	—
463	C₄×Q₈	—	2	4	no	—
464	C₄×Q₈	—	2	8	no	—
465	C₄×Q₈	—	2	8	no	—
466	C₄×Q₈	—	2	8	no	—
467	C₄×Q₈	—	2	4	no	—
468	C₄×Q₈	—	2	8	no	—
469	C₄×Q₈	—	2	4	no	—
470	C₄×Q₈	D₄×C₁₁	1	8	yes	—
471	C₂×C₄⋊C₄	—	2	4	no	—
472	C₂×C₄⋊C₄	—	2	8	no	—
473	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
474	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
475	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
476	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
477	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
478	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
479	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
480	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
481	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
482	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
483	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
484	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
485	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
486	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
487	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
488	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
489	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
490	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
491	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
492	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
493	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
494	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
495	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
496	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
497	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
498	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
499	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
500	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
501	C₂×C₄²	—	2	8	no	—
502	C₂×C₄²	—	2	4	no	—
503	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
504	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
505	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
506	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
507	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
508	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
509	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
510	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
511	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
512	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
513	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
514	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
515	#95	C₂³×C₁₁	1	2	yes	—
516	#95	C₂³×C₁₁	1	4	yes	—
517	#95	C₂³×C₁₁	1	2	yes	—
518	#95	C₂³×C₁₁	1	4	yes	—
519	#95	C₂³×C₁₁	1	2	yes	—
520	#95	C₂³×C₁₁	1	4	yes	—
521	#95	C₂³×C₁₁	1	4	yes	—
522	#95	C₂³×C₁₁	1	2	yes	—
523	#95	C₂³×C₁₁	1	4	yes	—
524	#95	C₂³×C₁₁	1	2	yes	—
525	#95	C₂³×C₁₁	1	4	yes	—
526	#95	C₂³×C₁₁	1	4	yes	—
527	#95	C₂³×C₁₁	1	4	yes	—
528	#95	C₂³×C₁₁	1	4	yes	—
529	#95	C₂³×C₁₁	1	4	yes	—
530	C₂×C₁₁	—	2	4	no	—
531	C₂×C₁₁	C₂×#525	1	1	yes	characteristic
532	C₂×C₁₁	C₂×D₄×Q₈	1	1	yes	characteristic
533	C₂×C₁₁	C₂×#557	1	1	yes	characteristic
534	C₂×C₁₁	Q₈×#41	1	1	yes	characteristic
535	C₂×C₁₁	#3489	1	1	yes	characteristic
536	C₂×C₁₁	#3507	1	1	yes	characteristic
537	C₂×C₁₁	#3523	1	1	yes	characteristic
538	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
539	C₂×Q₈	—	2	32	no	—
540	C₂×Q₈	—	2	2	no	—
541	C₂×Q₈	—	2	4	no	—
542	C₂×Q₈	—	2	2	no	—
543	C₂×Q₈	—	2	4	no	—
544	C₂×Q₈	—	2	4	no	—
545	C₂×Q₈	—	2	4	no	—
546	C₂×Q₈	—	2	2	no	—
547	C₂×Q₈	—	2	2	no	—
548	C₂×Q₈	—	2	2	no	—
549	C₂×Q₈	—	2	4	no	—
550	C₂×Q₈	—	2	4	no	—
551	C₂×Q₈	—	2	2	no	—
552	C₂×Q₈	C₂×D₄×C₁₁	1	4	yes	—
553	C₂×Q₈	C₂×Q₈×C₁₁	1	4	yes	complemented
554	C₂×Q₈	C₁₁×#41	1	4	yes	—
555	C₂²×C₄	—	2	4	no	—
556	C₂²×C₄	—	2	2	no	—
557	C₂²×C₄	—	2	4	no	—
558	C₂²×C₄	—	2	2	no	—
559	C₂²×C₄	—	2	4	no	—
560	C₂²×C₄	—	2	2	no	—
561	C₂²×C₄	—	2	2	no	—
562	C₂²×C₄	—	2	4	no	—
563	C₂²×C₄	—	2	2	no	—
564	C₂²×C₄	—	2	4	no	—
565	C₂²×C₄	—	2	2	no	—
566	C₂²×C₄	—	4	2	no	—
567	C₂²×C₄	—	4	1	no	—
568	C₂²×C₄	C₂×Q₈×C₁₁	1	4	yes	—
569	C₂²×C₄	C₁₁×#41	1	4	yes	—
570	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
571	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
572	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
573	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
574	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
575	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
576	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
577	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
578	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
579	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
580	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
581	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
582	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
583	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
584	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
585	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
586	C₄⋊C₄	—	2	4	no	—
587	C₄⋊C₄	—	2	4	no	—
588	C₄⋊C₄	—	2	4	no	—
589	C₄⋊C₄	—	2	4	no	—
590	C₄⋊C₄	—	2	2	no	—
591	C₄⋊C₄	—	2	4	no	—
592	C₄⋊C₄	—	2	2	no	—
593	C₄⋊C₄	—	2	8	no	—
594	C₄⋊C₄	—	2	8	no	—
595	C₄⋊C₄	—	2	4	no	—
596	C₄⋊C₄	—	2	8	no	—
597	C₄⋊C₄	—	2	4	no	—
598	C₄⋊C₄	—	2	4	no	—
599	C₄⋊C₄	—	2	8	no	—
600	C₄⋊C₄	—	2	8	no	—
601	C₄⋊C₄	—	2	8	no	—
602	C₄⋊C₄	—	2	2	no	—
603	C₄⋊C₄	—	2	4	no	—
604	C₄⋊C₄	—	4	2	no	—
605	C₄⋊C₄	—	4	2	no	—
606	C₄⋊C₄	—	4	4	no	—
607	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
608	C₄⋊C₄	C₂×D₄×C₁₁	1	8	yes	—
609	C₄⋊C₄	C₂×Q₈×C₁₁	1	4	yes	complemented
610	C₄⋊C₄	C₂×Q₈×C₁₁	1	8	yes	complemented
611	C₂²⋊C₄	—	2	8	no	—
612	C₂²⋊C₄	—	2	4	no	—
613	C₂²⋊C₄	C₂×Q₈×C₁₁	1	8	yes	—
614	C₄²	—	2	4	no	—
615	C₄²	—	2	2	no	—
616	C₄²	—	2	4	no	—
617	C₄²	—	2	2	no	—
618	C₄²	—	2	4	no	—
619	C₄²	—	2	2	no	—
620	C₄²	—	2	8	no	—
621	C₄²	—	2	4	no	—
622	C₄²	—	2	4	no	—
623	C₄²	—	4	4	no	—
624	C₄²	C₂×D₄×C₁₁	1	8	yes	—
625	C₄²	C₂×D₄×C₁₁	1	4	yes	—
626	C₁₁	#36545	1	1	yes	characteristic, direct product factor, Sylow
627	C₂³	—	2	1	no	—
628	C₂³	—	2	1	no	—
629	C₂³	—	2	1	no	—
630	C₂³	—	2	1	no	—
631	C₂³	C₂²×Q₈×C₁₁	1	2	yes	—
632	C₂³	C₂×C₁₁×#41	1	2	yes	—
633	C₂³	C₁₁×2₋¹⁺⁴	1	2	yes	—
634	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
635	Q₈	—	2	16	no	—
636	Q₈	—	2	8	no	—
637	Q₈	—	2	8	no	—
638	Q₈	—	2	8	no	—
639	Q₈	—	4	8	no	—
640	C₂×C₄	—	2	16	no	—
641	C₂×C₄	—	2	1	no	—
642	C₂×C₄	—	2	2	no	—
643	C₂×C₄	—	2	2	no	—
644	C₂×C₄	—	2	1	no	—
645	C₂×C₄	—	2	2	no	—
646	C₂×C₄	—	2	2	no	—
647	C₂×C₄	—	2	2	no	—
648	C₂×C₄	—	2	2	no	—
649	C₂×C₄	—	2	1	no	—
650	C₂×C₄	—	2	1	no	—
651	C₂×C₄	—	2	2	no	—
652	C₂×C₄	—	2	1	no	—
653	C₂×C₄	—	2	2	no	—
654	C₂×C₄	—	2	2	no	—
655	C₂×C₄	—	2	2	no	—
656	C₂×C₄	—	2	1	no	—
657	C₂×C₄	—	2	8	no	—
658	C₂×C₄	—	2	8	no	—
659	C₂×C₄	—	2	2	no	—
660	C₂×C₄	—	2	1	no	—
661	C₂×C₄	—	2	2	no	—
662	C₂×C₄	—	2	4	no	—
663	C₂×C₄	—	2	2	no	—
664	C₂×C₄	—	2	4	no	—
665	C₂×C₄	—	2	4	no	—
666	C₂×C₄	—	2	4	no	—
667	C₂×C₄	—	2	2	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	4	no	—
670	C₂×C₄	—	2	2	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	1	no	—
673	C₂×C₄	—	2	4	no	—
674	C₂×C₄	—	2	2	no	—
675	C₂×C₄	—	2	1	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	4	8	no	—
678	C₂×C₄	—	4	4	no	—
679	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
680	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
681	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
682	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
683	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
684	C₂×C₄	C₂²×Q₈×C₁₁	1	4	yes	—
685	C₂×C₄	C₂²×Q₈×C₁₁	1	4	yes	—
686	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
687	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
688	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
689	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
690	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
691	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
692	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
693	C₂²	—	2	2	no	—
694	C₂²	—	2	2	no	—
695	C₂²	—	2	2	no	—
696	C₂²	—	2	2	no	—
697	C₂²	—	2	2	no	—
698	C₂²	—	2	2	no	—
699	C₂²	C₁₁×#557	1	4	yes	complemented
700	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
701	C₂²	C₂³×Q₈×C₁₁	1	1	yes	characteristic
702	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
703	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
704	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
705	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
706	C₂²	C₁₁×#585	1	1	yes	characteristic
707	C₄	—	2	4	no	—
708	C₄	—	2	4	no	—
709	C₄	—	2	2	no	—
710	C₄	—	2	2	no	—
711	C₄	—	2	4	no	—
712	C₄	—	2	4	no	—
713	C₄	—	2	4	no	—
714	C₄	—	2	2	no	—
715	C₄	—	4	4	no	—
716	C₄	—	4	2	no	—
717	C₄	—	4	1	no	—
718	C₄	—	4	2	no	—
719	C₄	—	4	4	no	—
720	C₄	—	4	2	no	—
721	C₄	C₁₁×#525	1	4	yes	—
722	C₄	D₄×Q₈×C₁₁	1	4	yes	—
723	C₂	—	2	4	no	—
724	C₂	C₂×C₁₁×#525	1	1	yes	characteristic
725	C₂	C₂×D₄×Q₈×C₁₁	1	1	yes	characteristic
726	C₂	C₂×C₁₁×#557	1	1	yes	characteristic
727	C₂	Q₈×C₁₁×#41	1	1	yes	characteristic
728	C₂	C₁₁×#3489	1	1	yes	characteristic
729	C₂	C₁₁×#3507	1	1	yes	characteristic
730	C₂	C₁₁×#3523	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂⁴×C₁₁	C₂⁴
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₁×#557	C₂	semidirect
5. C₁₁×#2584	C₂	semidirect
6. C₁₁×#2582	C₂	semidirect
7. C₁₁×#2581	C₂	semidirect
8. C₁₁×#2546	C₂	semidirect
10. C₁₁×#2462	C₂	semidirect
11. C₁₁×#2446	C₂	semidirect
13. C₁₁×#2365	C₂	semidirect
15. C₁₁×#2355	C₂	semidirect
104. C₁₁×C₂²⋊Q₈	Q₈	semidirect
173. #36545	C₁₁	direct (N × H)
189. C₂×Q₈×C₁₁	C₂×Q₈	semidirect
245. C₁₁×C₄⋊C₄	C₂×Q₈	semidirect
246. C₁₁×C₄⋊C₄	C₂×Q₈	semidirect
262. C₂×#557	C₂×C₁₁	semidirect
266. #2584	C₂×C₁₁	semidirect
267. #2582	C₂×C₁₁	semidirect
268. #2581	C₂×C₁₁	semidirect
269. #2546	C₂×C₁₁	semidirect
271. #2462	C₂×C₁₁	semidirect
272. #2446	C₂×C₁₁	semidirect
274. #2365	C₂×C₁₁	semidirect
276. #2355	C₂×C₁₁	semidirect
418. C₂²×C₁₁	#557	semidirect
461. C₂²⋊Q₈	Q₈×C₁₁	semidirect
553. C₂×Q₈	C₂×Q₈×C₁₁	semidirect
609. C₄⋊C₄	C₂×Q₈×C₁₁	semidirect
610. C₄⋊C₄	C₂×Q₈×C₁₁	semidirect
626. C₁₁	#36545	direct (N × H)
699. C₂²	C₁₁×#557	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₁×#557	2
C₂²×C₄×Q₈×C₁₁	2
C₁₁×#2857	2
C₁₁×#2851	2
C₁₁×#2584	2
C₁₁×#2582	2
C₁₁×#2581	2
C₁₁×#2546	2
C₁₁×#2473	2
C₁₁×#2462	2
C₁₁×#2446	2
C₁₁×#2434	2
C₁₁×#2365	2
C₁₁×#2360	2
C₁₁×#2355	2
C₄×C₁₁×C₂²⋊Q₈	2
#36545	11

Subgroups — C11×#36545 #14613738

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#36545 #14613738