Subgroups — C₁₁×#36546 #14613739

Order 2816.

2910 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×C₁₁×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#2848	C₂	1	2	yes	maximal, complemented
4	C₁₁×#2848	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#2583	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2579	C₂	1	2	yes	maximal, complemented
7	C₁₁×#2502	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#2487	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2473	C₂	1	4	yes	maximal, complemented
10	C₁₁×#2449	C₂	1	4	yes	maximal, complemented
11	C₁₁×#2440	C₂	1	2	yes	maximal, complemented
12	C₁₁×#2417	C₂	1	2	yes	maximal, complemented
13	C₁₁×#2360	C₂	1	2	yes	maximal, complemented
14	D₄×C₁₁×C₄⋊C₄	C₂	1	2	yes	maximal, complemented
15	C₁₁×#2345	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄×C₁₁×#120	C₂	1	1	yes	maximal, characteristic
17	C₄×C₁₁×#120	C₂	1	2	yes	maximal
18	C₂⁴×C₄×C₁₁	C₂²	1	1	yes	characteristic
19	C₂⁴×C₄×C₁₁	C₂²	1	2	yes	—
20	C₁₁×#554	—	2	8	no	—
21	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
22	C₂×C₁₁×#125	C₂²	1	2	yes	complemented
23	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
24	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
26	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	4	yes	—
27	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	complemented
29	C₂×C₁₁×#120	C₂²	1	1	yes	characteristic
30	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
32	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
33	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
34	C₂×C₄×D₄×C₁₁	C₂²	1	4	yes	—
35	C₂²×C₁₁×C₄⋊C₄	—	2	8	no	—
36	C₂²×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
37	C₂²×C₁₁×C₄⋊C₄	C₂²	1	4	yes	—
38	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
39	C₂²×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
40	C₂²×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
41	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
42	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
43	C₁₁×#400	C₂²	1	2	yes	complemented
44	C₁₁×#399	C₂²	1	2	yes	complemented
45	C₁₁×#398	C₂²	1	4	yes	complemented
46	C₁₁×#398	C₂²	1	4	yes	complemented
47	C₁₁×#398	C₂²	1	4	yes	complemented
48	C₁₁×#396	C₂²	1	4	yes	complemented
49	C₁₁×#395	C₂²	1	4	yes	complemented
50	C₁₁×#391	C₂²	1	2	yes	complemented
51	C₁₁×#389	C₂²	1	2	yes	complemented
52	C₁₁×#389	C₂²	1	2	yes	complemented
53	C₁₁×#389	C₂²	1	4	yes	complemented
54	C₁₁×#389	C₂²	1	4	yes	complemented
55	C₁₁×#387	C₂²	1	4	yes	complemented
56	C₁₁×#387	C₂²	1	4	yes	complemented
57	C₁₁×#386	C₂²	1	4	yes	—
58	C₁₁×#386	C₂²	1	2	yes	—
59	C₁₁×#386	C₂²	1	2	yes	—
60	C₁₁×#386	C₂²	1	1	yes	characteristic
61	C₁₁×#385	C₂²	1	4	yes	—
62	C₁₁×#385	C₂²	1	4	yes	—
63	C₁₁×#385	C₂²	1	4	yes	—
64	C₁₁×#385	C₂²	1	2	yes	—
65	C₁₁×#385	C₂²	1	4	yes	—
66	C₁₁×#385	C₂²	1	2	yes	—
67	C₁₁×#385	C₂²	1	2	yes	—
68	C₁₁×#385	C₂²	1	2	yes	—
69	C₁₁×#385	C₂²	1	1	yes	characteristic
70	C₁₁×#385	C₂²	1	2	yes	—
71	C₁₁×#385	C₂²	1	4	yes	complemented
72	C₁₁×#384	C₂²	1	2	yes	complemented
73	C₁₁×#380	C₂²	1	4	yes	—
74	C₁₁×#380	C₂²	1	2	yes	—
75	C₁₁×#380	C₂²	1	1	yes	characteristic
76	C₁₁×#380	C₂²	1	2	yes	—
77	C₁₁×#380	C₂²	1	2	yes	complemented
78	C₁₁×#379	C₂²	1	2	yes	—
79	C₁₁×#379	C₂²	1	1	yes	characteristic
80	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	complemented
81	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
82	C₄×C₁₁×C₂²⋊C₄	C₂²	1	4	yes	—
83	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
84	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
85	C₂⁵×C₁₁	C₂³	1	1	yes	characteristic
86	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
87	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
88	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
89	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
90	C₂³×C₄×C₁₁	—	2	4	no	—
91	C₂³×C₄×C₁₁	—	2	8	no	—
92	C₂³×C₄×C₁₁	—	2	8	no	—
93	C₂³×C₄×C₁₁	—	4	8	no	—
94	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
95	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
96	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
97	C₂³×C₄×C₁₁	C₂³	1	4	yes	—
98	C₂³×C₄×C₁₁	C₂³	1	4	yes	—
99	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
100	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
101	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
102	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
103	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
104	C₁₁×C₄⋊Q₈	—	2	4	no	—
105	C₁₁×#125	—	2	8	no	—
106	C₁₁×C₂²⋊Q₈	—	2	8	no	—
107	C₁₁×C₂²⋊Q₈	—	2	4	no	—
108	C₁₁×C₂²⋊Q₈	—	2	8	no	—
109	C₁₁×C₂²⋊Q₈	—	2	8	no	—
110	C₁₁×C₂²⋊Q₈	—	2	4	no	—
111	C₁₁×C₂²⋊Q₈	—	4	8	no	—
112	C₁₁×#120	Q₈	1	8	yes	complemented
113	C₄×Q₈×C₁₁	—	2	4	no	—
114	C₄×D₄×C₁₁	—	2	8	no	—
115	C₄×D₄×C₁₁	—	2	4	no	—
116	C₄×D₄×C₁₁	—	2	8	no	—
117	C₄×D₄×C₁₁	—	4	8	no	—
118	C₂×C₁₁×C₄⋊C₄	—	2	8	no	—
119	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
120	C₂×C₁₁×C₄⋊C₄	—	2	8	no	—
121	C₂×C₁₁×C₄⋊C₄	—	2	16	no	—
122	C₂×C₁₁×C₄⋊C₄	—	2	8	no	—
123	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
124	C₂×C₁₁×C₄⋊C₄	D₄	1	8	yes	complemented
125	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
126	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	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	1	yes	characteristic
130	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
131	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
132	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
133	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	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	2	yes	—
137	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
138	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
139	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
140	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
141	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
142	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
143	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
144	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
145	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
146	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
147	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
148	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
149	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
150	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
151	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
152	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
153	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
154	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
155	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
156	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
157	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
158	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
159	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
160	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
161	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
162	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
163	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
164	C₁₁×#95	C₂³	1	2	yes	—
165	C₁₁×#95	C₂³	1	2	yes	—
166	C₁₁×#95	C₂³	1	4	yes	—
167	C₁₁×#95	C₂³	1	4	yes	—
168	C₁₁×#95	C₂³	1	2	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	C₁₁×#95	C₂³	1	2	yes	—
174	C₁₁×#95	C₂³	1	4	yes	—
175	#36546	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
176	C₂⁴×C₁₁	—	2	2	no	—
177	C₂⁴×C₁₁	—	2	4	no	—
178	C₂⁴×C₁₁	—	2	4	no	—
179	C₂⁴×C₁₁	—	2	2	no	—
180	C₂⁴×C₁₁	C₂×Q₈	1	4	yes	—
181	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
182	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
183	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
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	—	4	4	no	—
188	C₂×D₄×C₁₁	—	2	2	no	—
189	C₂×D₄×C₁₁	—	2	4	no	—
190	C₂×D₄×C₁₁	—	2	4	no	—
191	C₂×D₄×C₁₁	—	2	2	no	—
192	C₂×D₄×C₁₁	C₂×Q₈	1	4	yes	—
193	C₂×D₄×C₁₁	C₂×Q₈	1	8	yes	—
194	C₂²×C₄×C₁₁	—	2	32	no	—
195	C₂²×C₄×C₁₁	—	2	2	no	—
196	C₂²×C₄×C₁₁	—	2	4	no	—
197	C₂²×C₄×C₁₁	—	2	4	no	—
198	C₂²×C₄×C₁₁	—	2	4	no	—
199	C₂²×C₄×C₁₁	—	2	4	no	—
200	C₂²×C₄×C₁₁	—	2	4	no	—
201	C₂²×C₄×C₁₁	—	2	4	no	—
202	C₂²×C₄×C₁₁	—	2	4	no	—
203	C₂²×C₄×C₁₁	—	2	4	no	—
204	C₂²×C₄×C₁₁	—	2	8	no	—
205	C₂²×C₄×C₁₁	—	2	8	no	—
206	C₂²×C₄×C₁₁	—	2	8	no	—
207	C₂²×C₄×C₁₁	—	2	8	no	—
208	C₂²×C₄×C₁₁	—	2	2	no	—
209	C₂²×C₄×C₁₁	—	2	4	no	—
210	C₂²×C₄×C₁₁	—	2	4	no	—
211	C₂²×C₄×C₁₁	—	4	4	no	—
212	C₂²×C₄×C₁₁	—	4	4	no	—
213	C₂²×C₄×C₁₁	—	4	4	no	—
214	C₂²×C₄×C₁₁	—	4	4	no	—
215	C₂²×C₄×C₁₁	—	4	4	no	—
216	C₂²×C₄×C₁₁	—	4	32	no	—
217	C₂²×C₄×C₁₁	C₂×D₄	1	4	yes	—
218	C₂²×C₄×C₁₁	C₂×D₄	1	8	yes	—
219	C₂²×C₄×C₁₁	#41	1	8	yes	—
220	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
221	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
222	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
223	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
224	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
225	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
226	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
227	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
228	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
229	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
230	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
231	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
232	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
233	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
234	C₁₁×C₄⋊C₄	—	2	8	no	—
235	C₁₁×C₄⋊C₄	—	2	8	no	—
236	C₁₁×C₄⋊C₄	—	2	4	no	—
237	C₁₁×C₄⋊C₄	—	2	4	no	—
238	C₁₁×C₄⋊C₄	—	2	4	no	—
239	C₁₁×C₄⋊C₄	—	2	2	no	—
240	C₁₁×C₄⋊C₄	—	2	2	no	—
241	C₁₁×C₄⋊C₄	—	2	4	no	—
242	C₁₁×C₄⋊C₄	—	2	4	no	—
243	C₁₁×C₄⋊C₄	—	2	4	no	—
244	C₁₁×C₄⋊C₄	—	2	4	no	—
245	C₁₁×C₄⋊C₄	—	2	4	no	—
246	C₁₁×C₄⋊C₄	—	2	4	no	—
247	C₁₁×C₄⋊C₄	—	2	8	no	—
248	C₁₁×C₄⋊C₄	—	4	4	no	—
249	C₁₁×C₄⋊C₄	—	4	4	no	—
250	C₁₁×C₄⋊C₄	—	4	4	no	—
251	C₁₁×C₄⋊C₄	—	4	4	no	—
252	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
253	C₁₁×C₄⋊C₄	C₂×D₄	1	8	yes	—
254	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
255	C₁₁×C₂²⋊C₄	—	2	4	no	—
256	C₁₁×C₂²⋊C₄	—	2	2	no	—
257	C₁₁×C₂²⋊C₄	—	2	4	no	—
258	C₁₁×C₂²⋊C₄	—	2	8	no	—
259	C₁₁×C₂²⋊C₄	—	2	8	no	—
260	C₁₁×C₂²⋊C₄	—	2	4	no	—
261	C₁₁×C₂²⋊C₄	—	2	2	no	—
262	C₁₁×C₂²⋊C₄	—	2	4	no	—
263	C₁₁×C₂²⋊C₄	—	2	4	no	—
264	C₁₁×C₂²⋊C₄	—	2	2	no	—
265	C₁₁×C₂²⋊C₄	—	2	4	no	—
266	C₁₁×C₂²⋊C₄	—	4	4	no	—
267	C₁₁×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
268	C₁₁×C₂²⋊C₄	C₂×Q₈	1	8	yes	—
269	C₄²×C₁₁	—	2	4	no	—
270	C₄²×C₁₁	—	2	2	no	—
271	C₄²×C₁₁	—	2	4	no	—
272	C₄²×C₁₁	—	4	4	no	—
273	C₂×#554	C₂×C₁₁	1	1	yes	characteristic, complemented
274	C₂³×C₄⋊C₄	C₂×C₁₁	1	1	yes	characteristic, complemented
275	#2848	C₂×C₁₁	1	2	yes	complemented
276	#2848	C₂×C₁₁	1	1	yes	characteristic, complemented
277	#2583	C₂×C₁₁	1	2	yes	complemented
278	#2579	C₂×C₁₁	1	2	yes	complemented
279	#2502	C₂×C₁₁	1	1	yes	characteristic, complemented
280	#2487	C₂×C₁₁	1	1	yes	characteristic, complemented
281	#2473	C₂×C₁₁	1	4	yes	complemented
282	#2449	C₂×C₁₁	1	4	yes	complemented
283	#2440	C₂×C₁₁	1	2	yes	complemented
284	#2417	C₂×C₁₁	1	2	yes	complemented
285	#2360	C₂×C₁₁	1	2	yes	complemented
286	D₄×C₄⋊C₄	C₂×C₁₁	1	2	yes	complemented
287	#2345	C₂×C₁₁	1	1	yes	characteristic, complemented
288	C₄×#120	C₂×C₁₁	1	2	yes	—
289	C₄×#120	C₂×C₁₁	1	1	yes	characteristic
290	C₂³×C₁₁	—	2	8	no	—
291	C₂³×C₁₁	—	2	8	no	—
292	C₂³×C₁₁	—	2	16	no	—
293	C₂³×C₁₁	—	2	8	no	—
294	C₂³×C₁₁	—	2	16	no	—
295	C₂³×C₁₁	—	2	2	no	—
296	C₂³×C₁₁	—	2	2	no	—
297	C₂³×C₁₁	—	2	2	no	—
298	C₂³×C₁₁	—	2	2	no	—
299	C₂³×C₁₁	—	2	2	no	—
300	C₂³×C₁₁	—	2	2	no	—
301	C₂³×C₁₁	—	2	1	no	—
302	C₂³×C₁₁	—	2	2	no	—
303	C₂³×C₁₁	—	2	2	no	—
304	C₂³×C₁₁	—	2	1	no	—
305	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
306	C₂³×C₁₁	C₂²×Q₈	1	2	yes	—
307	C₂³×C₁₁	C₂²×Q₈	1	2	yes	—
308	C₂³×C₁₁	C₂²×Q₈	1	4	yes	—
309	C₂³×C₁₁	C₂×#41	1	4	yes	—
310	C₂³×C₁₁	H(5,𝔽₂)	1	4	yes	—
311	C₂³×C₁₁	2₋¹⁺⁴	1	2	yes	—
312	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
313	Q₈×C₁₁	—	4	4	no	—
314	Q₈×C₁₁	—	8	4	no	—
315	D₄×C₁₁	—	2	8	no	—
316	D₄×C₁₁	—	2	16	no	—
317	C₂×C₄×C₁₁	—	2	16	no	—
318	C₂×C₄×C₁₁	—	2	8	no	—
319	C₂×C₄×C₁₁	—	2	1	no	—
320	C₂×C₄×C₁₁	—	2	2	no	—
321	C₂×C₄×C₁₁	—	2	2	no	—
322	C₂×C₄×C₁₁	—	2	2	no	—
323	C₂×C₄×C₁₁	—	2	2	no	—
324	C₂×C₄×C₁₁	—	2	2	no	—
325	C₂×C₄×C₁₁	—	2	4	no	—
326	C₂×C₄×C₁₁	—	2	4	no	—
327	C₂×C₄×C₁₁	—	2	1	no	—
328	C₂×C₄×C₁₁	—	2	8	no	—
329	C₂×C₄×C₁₁	—	2	16	no	—
330	C₂×C₄×C₁₁	—	2	2	no	—
331	C₂×C₄×C₁₁	—	2	1	no	—
332	C₂×C₄×C₁₁	—	2	1	no	—
333	C₂×C₄×C₁₁	—	2	2	no	—
334	C₂×C₄×C₁₁	—	2	4	no	—
335	C₂×C₄×C₁₁	—	2	2	no	—
336	C₂×C₄×C₁₁	—	2	4	no	—
337	C₂×C₄×C₁₁	—	2	2	no	—
338	C₂×C₄×C₁₁	—	2	4	no	—
339	C₂×C₄×C₁₁	—	2	4	no	—
340	C₂×C₄×C₁₁	—	2	2	no	—
341	C₂×C₄×C₁₁	—	2	4	no	—
342	C₂×C₄×C₁₁	—	2	2	no	—
343	C₂×C₄×C₁₁	—	2	4	no	—
344	C₂×C₄×C₁₁	—	2	4	no	—
345	C₂×C₄×C₁₁	—	2	2	no	—
346	C₂×C₄×C₁₁	—	2	4	no	—
347	C₂×C₄×C₁₁	—	4	8	no	—
348	C₂×C₄×C₁₁	—	4	16	no	—
349	C₂×C₄×C₁₁	—	4	16	no	—
350	C₂×C₄×C₁₁	—	4	8	no	—
351	C₂×C₄×C₁₁	—	4	4	no	—
352	C₂×C₄×C₁₁	—	8	4	no	—
353	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
354	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
355	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
356	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
357	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
358	C₂×C₄×C₁₁	C₂²×Q₈	1	4	yes	—
359	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
360	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
361	C₂⁴×C₄	C₂²×C₁₁	1	1	yes	characteristic
362	C₂⁴×C₄	C₂²×C₁₁	1	2	yes	—
363	#554	—	2	8	no	—
364	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
365	C₂×#125	C₂²×C₁₁	1	2	yes	complemented
366	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
367	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
368	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
369	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	4	yes	—
370	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
371	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	complemented
372	C₂×#120	C₂²×C₁₁	1	1	yes	characteristic
373	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
374	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
375	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
376	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
377	C₂×C₄×D₄	C₂²×C₁₁	1	4	yes	—
378	C₂²×C₄⋊C₄	—	2	8	no	—
379	C₂²×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
380	C₂²×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
381	C₂²×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
382	C₂²×C₄⋊C₄	C₂²×C₁₁	1	4	yes	—
383	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
384	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
385	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
386	#400	C₂²×C₁₁	1	2	yes	complemented
387	#399	C₂²×C₁₁	1	2	yes	complemented
388	#398	C₂²×C₁₁	1	4	yes	complemented
389	#398	C₂²×C₁₁	1	4	yes	complemented
390	#398	C₂²×C₁₁	1	4	yes	complemented
391	#396	C₂²×C₁₁	1	4	yes	complemented
392	#395	C₂²×C₁₁	1	4	yes	complemented
393	#391	C₂²×C₁₁	1	2	yes	complemented
394	#389	C₂²×C₁₁	1	4	yes	complemented
395	#389	C₂²×C₁₁	1	4	yes	complemented
396	#389	C₂²×C₁₁	1	2	yes	complemented
397	#389	C₂²×C₁₁	1	2	yes	complemented
398	#387	C₂²×C₁₁	1	4	yes	complemented
399	#387	C₂²×C₁₁	1	4	yes	complemented
400	#386	C₂²×C₁₁	1	1	yes	characteristic
401	#386	C₂²×C₁₁	1	2	yes	—
402	#386	C₂²×C₁₁	1	4	yes	—
403	#386	C₂²×C₁₁	1	2	yes	—
404	#385	C₂²×C₁₁	1	2	yes	—
405	#385	C₂²×C₁₁	1	2	yes	—
406	#385	C₂²×C₁₁	1	1	yes	characteristic
407	#385	C₂²×C₁₁	1	2	yes	—
408	#385	C₂²×C₁₁	1	2	yes	—
409	#385	C₂²×C₁₁	1	4	yes	—
410	#385	C₂²×C₁₁	1	4	yes	—
411	#385	C₂²×C₁₁	1	4	yes	—
412	#385	C₂²×C₁₁	1	4	yes	—
413	#385	C₂²×C₁₁	1	2	yes	—
414	#385	C₂²×C₁₁	1	4	yes	complemented
415	#384	C₂²×C₁₁	1	2	yes	complemented
416	#380	C₂²×C₁₁	1	2	yes	—
417	#380	C₂²×C₁₁	1	1	yes	characteristic
418	#380	C₂²×C₁₁	1	2	yes	—
419	#380	C₂²×C₁₁	1	4	yes	—
420	#380	C₂²×C₁₁	1	2	yes	complemented
421	#379	C₂²×C₁₁	1	2	yes	—
422	#379	C₂²×C₁₁	1	1	yes	characteristic
423	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	complemented
424	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
425	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
426	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
427	C₄×C₂²⋊C₄	C₂²×C₁₁	1	4	yes	—
428	C₂²×C₁₁	—	2	32	no	—
429	C₂²×C₁₁	—	2	2	no	—
430	C₂²×C₁₁	—	2	4	no	—
431	C₂²×C₁₁	—	2	4	no	—
432	C₂²×C₁₁	—	2	4	no	—
433	C₂²×C₁₁	—	2	4	no	—
434	C₂²×C₁₁	—	2	2	no	—
435	C₂²×C₁₁	—	2	4	no	—
436	C₂²×C₁₁	—	2	4	no	—
437	C₂²×C₁₁	—	2	4	no	—
438	C₂²×C₁₁	—	2	4	no	—
439	C₂²×C₁₁	—	2	2	no	—
440	C₂²×C₁₁	—	2	4	no	—
441	C₂²×C₁₁	—	4	1	no	—
442	C₂²×C₁₁	—	4	1	no	—
443	C₂²×C₁₁	—	4	2	no	—
444	C₂²×C₁₁	D₄×Q₈	1	4	yes	—
445	C₂²×C₁₁	#554	1	8	yes	complemented
446	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
447	C₂²×C₁₁	C₂³×Q₈	1	1	yes	characteristic
448	C₂²×C₁₁	C₂²×#41	1	2	yes	—
449	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
450	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
451	C₄×C₁₁	—	2	2	no	—
452	C₄×C₁₁	—	2	4	no	—
453	C₄×C₁₁	—	2	2	no	—
454	C₄×C₁₁	—	2	4	no	—
455	C₄×C₁₁	—	2	4	no	—
456	C₄×C₁₁	—	2	4	no	—
457	C₄×C₁₁	—	4	1	no	—
458	C₄×C₁₁	—	4	2	no	—
459	C₄×C₁₁	—	4	4	no	—
460	C₄×C₁₁	—	4	2	no	—
461	C₄×C₁₁	—	4	1	no	—
462	C₄×C₁₁	—	4	2	no	—
463	C₄×C₁₁	—	4	4	no	—
464	C₄×C₁₁	#525	1	4	yes	—
465	C₂⁵	C₂³×C₁₁	1	1	yes	characteristic
466	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
467	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
468	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
469	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
470	C₂³×C₄	—	2	4	no	—
471	C₂³×C₄	—	2	8	no	—
472	C₂³×C₄	—	2	8	no	—
473	C₂³×C₄	—	4	8	no	—
474	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
475	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
476	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
477	C₂³×C₄	C₂³×C₁₁	1	4	yes	—
478	C₂³×C₄	C₂³×C₁₁	1	4	yes	—
479	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
480	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
481	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
482	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
483	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
484	C₄⋊Q₈	—	2	4	no	—
485	#125	—	2	8	no	—
486	C₂²⋊Q₈	—	2	8	no	—
487	C₂²⋊Q₈	—	2	4	no	—
488	C₂²⋊Q₈	—	2	8	no	—
489	C₂²⋊Q₈	—	2	8	no	—
490	C₂²⋊Q₈	—	2	4	no	—
491	C₂²⋊Q₈	—	4	8	no	—
492	#120	Q₈×C₁₁	1	8	yes	complemented
493	C₄×Q₈	—	2	4	no	—
494	C₄×D₄	—	2	8	no	—
495	C₄×D₄	—	2	4	no	—
496	C₄×D₄	—	2	8	no	—
497	C₄×D₄	—	4	8	no	—
498	C₂×C₄⋊C₄	—	2	8	no	—
499	C₂×C₄⋊C₄	—	2	4	no	—
500	C₂×C₄⋊C₄	—	2	8	no	—
501	C₂×C₄⋊C₄	—	2	16	no	—
502	C₂×C₄⋊C₄	—	2	8	no	—
503	C₂×C₄⋊C₄	—	2	4	no	—
504	C₂×C₄⋊C₄	D₄×C₁₁	1	8	yes	complemented
505	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
506	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
507	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
508	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
509	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
510	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
511	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
512	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
513	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
514	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
515	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
516	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
517	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
518	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
519	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
520	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
521	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
522	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
523	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
524	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
525	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
526	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
527	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
528	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
529	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
530	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
531	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
532	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
533	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
534	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
535	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
536	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
537	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
538	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
539	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
540	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
541	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
542	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
543	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
544	#95	C₂³×C₁₁	1	2	yes	—
545	#95	C₂³×C₁₁	1	2	yes	—
546	#95	C₂³×C₁₁	1	4	yes	—
547	#95	C₂³×C₁₁	1	4	yes	—
548	#95	C₂³×C₁₁	1	2	yes	—
549	#95	C₂³×C₁₁	1	4	yes	—
550	#95	C₂³×C₁₁	1	4	yes	—
551	#95	C₂³×C₁₁	1	4	yes	—
552	#95	C₂³×C₁₁	1	4	yes	—
553	#95	C₂³×C₁₁	1	2	yes	—
554	#95	C₂³×C₁₁	1	4	yes	—
555	C₂×C₁₁	—	2	4	no	—
556	C₂×C₁₁	—	2	8	no	—
557	C₂×C₁₁	—	4	2	no	—
558	C₂×C₁₁	C₂×#525	1	1	yes	characteristic
559	C₂×C₁₁	C₂×D₄×Q₈	1	1	yes	characteristic
560	C₂×C₁₁	C₂×#554	1	2	yes	—
561	C₂×C₁₁	#3484	1	1	yes	characteristic
562	C₂×C₁₁	#3492	1	2	yes	—
563	C₂⁴	—	2	2	no	—
564	C₂⁴	—	2	4	no	—
565	C₂⁴	—	2	4	no	—
566	C₂⁴	—	2	2	no	—
567	C₂⁴	C₂×Q₈×C₁₁	1	4	yes	—
568	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
569	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
570	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
571	C₂×Q₈	—	2	2	no	—
572	C₂×Q₈	—	2	4	no	—
573	C₂×Q₈	—	2	4	no	—
574	C₂×Q₈	—	4	4	no	—
575	C₂×D₄	—	2	2	no	—
576	C₂×D₄	—	2	4	no	—
577	C₂×D₄	—	2	4	no	—
578	C₂×D₄	—	2	2	no	—
579	C₂×D₄	C₂×Q₈×C₁₁	1	4	yes	—
580	C₂×D₄	C₂×Q₈×C₁₁	1	8	yes	—
581	C₂²×C₄	—	2	32	no	—
582	C₂²×C₄	—	2	2	no	—
583	C₂²×C₄	—	2	4	no	—
584	C₂²×C₄	—	2	4	no	—
585	C₂²×C₄	—	2	4	no	—
586	C₂²×C₄	—	2	4	no	—
587	C₂²×C₄	—	2	4	no	—
588	C₂²×C₄	—	2	4	no	—
589	C₂²×C₄	—	2	4	no	—
590	C₂²×C₄	—	2	4	no	—
591	C₂²×C₄	—	2	8	no	—
592	C₂²×C₄	—	2	8	no	—
593	C₂²×C₄	—	2	8	no	—
594	C₂²×C₄	—	2	8	no	—
595	C₂²×C₄	—	2	2	no	—
596	C₂²×C₄	—	2	4	no	—
597	C₂²×C₄	—	2	4	no	—
598	C₂²×C₄	—	4	4	no	—
599	C₂²×C₄	—	4	4	no	—
600	C₂²×C₄	—	4	4	no	—
601	C₂²×C₄	—	4	4	no	—
602	C₂²×C₄	—	4	4	no	—
603	C₂²×C₄	—	4	32	no	—
604	C₂²×C₄	C₂×D₄×C₁₁	1	4	yes	—
605	C₂²×C₄	C₂×D₄×C₁₁	1	8	yes	—
606	C₂²×C₄	C₁₁×#41	1	8	yes	—
607	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
608	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
609	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
610	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
611	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
612	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
613	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
614	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
615	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
616	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
617	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
618	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
619	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
620	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
621	C₄⋊C₄	—	2	8	no	—
622	C₄⋊C₄	—	2	8	no	—
623	C₄⋊C₄	—	2	4	no	—
624	C₄⋊C₄	—	2	4	no	—
625	C₄⋊C₄	—	2	4	no	—
626	C₄⋊C₄	—	2	2	no	—
627	C₄⋊C₄	—	2	2	no	—
628	C₄⋊C₄	—	2	4	no	—
629	C₄⋊C₄	—	2	4	no	—
630	C₄⋊C₄	—	2	4	no	—
631	C₄⋊C₄	—	2	4	no	—
632	C₄⋊C₄	—	2	4	no	—
633	C₄⋊C₄	—	2	4	no	—
634	C₄⋊C₄	—	2	8	no	—
635	C₄⋊C₄	—	4	4	no	—
636	C₄⋊C₄	—	4	4	no	—
637	C₄⋊C₄	—	4	4	no	—
638	C₄⋊C₄	—	4	4	no	—
639	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
640	C₄⋊C₄	C₂×D₄×C₁₁	1	8	yes	—
641	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
642	C₂²⋊C₄	—	2	4	no	—
643	C₂²⋊C₄	—	2	2	no	—
644	C₂²⋊C₄	—	2	4	no	—
645	C₂²⋊C₄	—	2	8	no	—
646	C₂²⋊C₄	—	2	8	no	—
647	C₂²⋊C₄	—	2	4	no	—
648	C₂²⋊C₄	—	2	4	no	—
649	C₂²⋊C₄	—	2	2	no	—
650	C₂²⋊C₄	—	2	4	no	—
651	C₂²⋊C₄	—	2	2	no	—
652	C₂²⋊C₄	—	2	4	no	—
653	C₂²⋊C₄	—	4	4	no	—
654	C₂²⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
655	C₂²⋊C₄	C₂×Q₈×C₁₁	1	8	yes	—
656	C₄²	—	2	4	no	—
657	C₄²	—	2	2	no	—
658	C₄²	—	2	4	no	—
659	C₄²	—	4	4	no	—
660	C₁₁	#36546	1	1	yes	characteristic, direct product factor, Sylow
661	C₂³	—	2	8	no	—
662	C₂³	—	2	8	no	—
663	C₂³	—	2	16	no	—
664	C₂³	—	2	8	no	—
665	C₂³	—	2	16	no	—
666	C₂³	—	2	2	no	—
667	C₂³	—	2	2	no	—
668	C₂³	—	2	2	no	—
669	C₂³	—	2	2	no	—
670	C₂³	—	2	2	no	—
671	C₂³	—	2	2	no	—
672	C₂³	—	2	1	no	—
673	C₂³	—	2	2	no	—
674	C₂³	—	2	2	no	—
675	C₂³	—	2	1	no	—
676	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
677	C₂³	C₂²×Q₈×C₁₁	1	2	yes	—
678	C₂³	C₂²×Q₈×C₁₁	1	2	yes	—
679	C₂³	C₂²×Q₈×C₁₁	1	4	yes	—
680	C₂³	C₂×C₁₁×#41	1	4	yes	—
681	C₂³	C₁₁×H(5,𝔽₂)	1	4	yes	—
682	C₂³	C₁₁×2₋¹⁺⁴	1	2	yes	—
683	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
684	Q₈	—	4	4	no	—
685	Q₈	—	8	4	no	—
686	D₄	—	2	8	no	—
687	D₄	—	2	16	no	—
688	C₂×C₄	—	2	16	no	—
689	C₂×C₄	—	2	8	no	—
690	C₂×C₄	—	2	1	no	—
691	C₂×C₄	—	2	2	no	—
692	C₂×C₄	—	2	2	no	—
693	C₂×C₄	—	2	2	no	—
694	C₂×C₄	—	2	2	no	—
695	C₂×C₄	—	2	2	no	—
696	C₂×C₄	—	2	4	no	—
697	C₂×C₄	—	2	4	no	—
698	C₂×C₄	—	2	1	no	—
699	C₂×C₄	—	2	8	no	—
700	C₂×C₄	—	2	16	no	—
701	C₂×C₄	—	2	2	no	—
702	C₂×C₄	—	2	1	no	—
703	C₂×C₄	—	2	1	no	—
704	C₂×C₄	—	2	2	no	—
705	C₂×C₄	—	2	4	no	—
706	C₂×C₄	—	2	2	no	—
707	C₂×C₄	—	2	4	no	—
708	C₂×C₄	—	2	2	no	—
709	C₂×C₄	—	2	4	no	—
710	C₂×C₄	—	2	4	no	—
711	C₂×C₄	—	2	2	no	—
712	C₂×C₄	—	2	4	no	—
713	C₂×C₄	—	2	2	no	—
714	C₂×C₄	—	2	4	no	—
715	C₂×C₄	—	2	4	no	—
716	C₂×C₄	—	2	2	no	—
717	C₂×C₄	—	2	4	no	—
718	C₂×C₄	—	4	8	no	—
719	C₂×C₄	—	4	16	no	—
720	C₂×C₄	—	4	16	no	—
721	C₂×C₄	—	4	8	no	—
722	C₂×C₄	—	4	4	no	—
723	C₂×C₄	—	8	4	no	—
724	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
725	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
726	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
727	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
728	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
729	C₂×C₄	C₂²×Q₈×C₁₁	1	4	yes	—
730	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
731	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
732	C₂²	—	2	32	no	—
733	C₂²	—	2	2	no	—
734	C₂²	—	2	4	no	—
735	C₂²	—	2	4	no	—
736	C₂²	—	2	4	no	—
737	C₂²	—	2	4	no	—
738	C₂²	—	2	2	no	—
739	C₂²	—	2	4	no	—
740	C₂²	—	2	4	no	—
741	C₂²	—	2	4	no	—
742	C₂²	—	2	4	no	—
743	C₂²	—	2	2	no	—
744	C₂²	—	2	4	no	—
745	C₂²	—	4	1	no	—
746	C₂²	—	4	1	no	—
747	C₂²	—	4	2	no	—
748	C₂²	D₄×Q₈×C₁₁	1	4	yes	—
749	C₂²	C₁₁×#554	1	8	yes	complemented
750	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
751	C₂²	C₂³×Q₈×C₁₁	1	1	yes	characteristic
752	C₂²	C₂²×C₁₁×#41	1	2	yes	—
753	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	2	yes	—
754	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
755	C₄	—	2	2	no	—
756	C₄	—	2	4	no	—
757	C₄	—	2	2	no	—
758	C₄	—	2	4	no	—
759	C₄	—	2	4	no	—
760	C₄	—	2	4	no	—
761	C₄	—	4	1	no	—
762	C₄	—	4	2	no	—
763	C₄	—	4	4	no	—
764	C₄	—	4	2	no	—
765	C₄	—	4	1	no	—
766	C₄	—	4	2	no	—
767	C₄	—	4	4	no	—
768	C₄	C₁₁×#525	1	4	yes	—
769	C₂	—	2	4	no	—
770	C₂	—	2	8	no	—
771	C₂	—	4	2	no	—
772	C₂	C₂×C₁₁×#525	1	1	yes	characteristic
773	C₂	C₂×D₄×Q₈×C₁₁	1	1	yes	characteristic
774	C₂	C₂×C₁₁×#554	1	2	yes	—
775	C₂	C₁₁×#3484	1	1	yes	characteristic
776	C₂	C₁₁×#3492	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂×C₁₁×#120	C₂²
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×#554	C₂	semidirect
2. C₂³×C₁₁×C₄⋊C₄	C₂	semidirect
3. C₁₁×#2848	C₂	semidirect
4. C₁₁×#2848	C₂	semidirect
5. C₁₁×#2583	C₂	semidirect
6. C₁₁×#2579	C₂	semidirect
7. C₁₁×#2502	C₂	semidirect
8. C₁₁×#2487	C₂	semidirect
9. C₁₁×#2473	C₂	semidirect
10. C₁₁×#2449	C₂	semidirect
11. C₁₁×#2440	C₂	semidirect
12. C₁₁×#2417	C₂	semidirect
13. C₁₁×#2360	C₂	semidirect
14. D₄×C₁₁×C₄⋊C₄	C₂	semidirect
15. C₁₁×#2345	C₂	semidirect
21. C₂×C₁₁×C₄⋊Q₈	C₂²	semidirect
22. C₂×C₁₁×#125	C₂²	semidirect
27. C₂×C₁₁×C₂²⋊Q₈	C₂²	semidirect
28. C₂×C₁₁×C₂²⋊Q₈	C₂²	semidirect
30. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
42. C₂²×C₁₁×C₄⋊C₄	C₂²	semidirect
43. C₁₁×#400	C₂²	semidirect
44. C₁₁×#399	C₂²	semidirect
45. C₁₁×#398	C₂²	semidirect
46. C₁₁×#398	C₂²	semidirect
47. C₁₁×#398	C₂²	semidirect
48. C₁₁×#396	C₂²	semidirect
49. C₁₁×#395	C₂²	semidirect
50. C₁₁×#391	C₂²	semidirect
51. C₁₁×#389	C₂²	semidirect
52. C₁₁×#389	C₂²	semidirect
53. C₁₁×#389	C₂²	semidirect
54. C₁₁×#389	C₂²	semidirect
55. C₁₁×#387	C₂²	semidirect
56. C₁₁×#387	C₂²	semidirect
71. C₁₁×#385	C₂²	semidirect
72. C₁₁×#384	C₂²	semidirect
77. C₁₁×#380	C₂²	semidirect
80. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
112. C₁₁×#120	Q₈	semidirect
124. C₂×C₁₁×C₄⋊C₄	D₄	semidirect
175. #36546	C₁₁	direct (N × H)
273. C₂×#554	C₂×C₁₁	semidirect
274. C₂³×C₄⋊C₄	C₂×C₁₁	semidirect
275. #2848	C₂×C₁₁	semidirect
276. #2848	C₂×C₁₁	semidirect
277. #2583	C₂×C₁₁	semidirect
278. #2579	C₂×C₁₁	semidirect
279. #2502	C₂×C₁₁	semidirect
280. #2487	C₂×C₁₁	semidirect
281. #2473	C₂×C₁₁	semidirect
282. #2449	C₂×C₁₁	semidirect
283. #2440	C₂×C₁₁	semidirect
284. #2417	C₂×C₁₁	semidirect
285. #2360	C₂×C₁₁	semidirect
286. D₄×C₄⋊C₄	C₂×C₁₁	semidirect
287. #2345	C₂×C₁₁	semidirect
364. C₂×C₄⋊Q₈	C₂²×C₁₁	semidirect
365. C₂×#125	C₂²×C₁₁	semidirect
370. C₂×C₂²⋊Q₈	C₂²×C₁₁	semidirect
371. C₂×C₂²⋊Q₈	C₂²×C₁₁	semidirect
373. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
385. C₂²×C₄⋊C₄	C₂²×C₁₁	semidirect
386. #400	C₂²×C₁₁	semidirect
387. #399	C₂²×C₁₁	semidirect
388. #398	C₂²×C₁₁	semidirect
389. #398	C₂²×C₁₁	semidirect
390. #398	C₂²×C₁₁	semidirect
391. #396	C₂²×C₁₁	semidirect
392. #395	C₂²×C₁₁	semidirect
393. #391	C₂²×C₁₁	semidirect
394. #389	C₂²×C₁₁	semidirect
395. #389	C₂²×C₁₁	semidirect
396. #389	C₂²×C₁₁	semidirect
397. #389	C₂²×C₁₁	semidirect
398. #387	C₂²×C₁₁	semidirect
399. #387	C₂²×C₁₁	semidirect
414. #385	C₂²×C₁₁	semidirect
415. #384	C₂²×C₁₁	semidirect
420. #380	C₂²×C₁₁	semidirect
423. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
445. C₂²×C₁₁	#554	semidirect
492. #120	Q₈×C₁₁	semidirect
504. C₂×C₄⋊C₄	D₄×C₁₁	semidirect
660. C₁₁	#36546	direct (N × H)
749. C₂²	C₁₁×#554	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₁×#554	2
C₂³×C₁₁×C₄⋊C₄	2
C₁₁×#2848	2
C₁₁×#2583	2
C₁₁×#2579	2
C₁₁×#2502	2
C₁₁×#2487	2
C₁₁×#2473	2
C₁₁×#2449	2
C₁₁×#2440	2
C₁₁×#2417	2
C₁₁×#2360	2
D₄×C₁₁×C₄⋊C₄	2
C₁₁×#2345	2
C₄×C₁₁×#120	2
#36546	11

Subgroups — C11×#36546 #14613739

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#36546 #14613739