Subgroups — C₁₁×#60033 #14637226

Order 2816.

2184 conjugacy classes of subgroups.

The subgroup lattice has 932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2735	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#2678	C₂	1	2	yes	maximal, complemented
3	C₁₁×#2670	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#2602	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2598	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2597	C₂	1	2	yes	maximal, complemented
7	C₁₁×#2587	C₂	1	2	yes	maximal, complemented
8	C₁₁×#2580	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2557	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2543	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2523	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#2518	C₂	1	2	yes	maximal, complemented
13	C₁₁×#2456	C₂	1	2	yes	maximal, complemented
14	C₁₁×#2455	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2367	C₂	1	2	yes	maximal, complemented
16	C₁₁×#2363	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2359	C₂	1	2	yes	maximal, complemented
18	C₄×C₁₁×#120	C₂	1	2	yes	maximal, complemented
19	C₄×C₁₁×#120	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂⁴×C₄×C₁₁	C₂²	1	1	yes	characteristic
21	C₂×C₁₁×#124	C₂²	1	2	yes	—
22	C₂×C₁₁×#123	C₂²	1	2	yes	—
23	C₂×C₁₁×#123	C₂²	1	2	yes	complemented
24	C₂×C₁₁×#121	C₂²	1	2	yes	—
25	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₁₁×#120	C₂²	1	2	yes	—
27	C₂×C₁₁×#120	C₂²	1	1	yes	characteristic
28	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
30	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
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×C₁₁×#117	C₂²	1	2	yes	complemented
35	C₁₁×#400	C₂²	1	2	yes	complemented
36	C₁₁×#399	C₂²	1	1	yes	characteristic
37	C₁₁×#399	C₂²	1	1	yes	characteristic, complemented
38	C₁₁×#398	C₂²	1	1	yes	characteristic, complemented
39	C₁₁×#397	C₂²	1	2	yes	—
40	C₁₁×#397	C₂²	1	2	yes	—
41	C₁₁×#397	C₂²	1	1	yes	characteristic
42	C₁₁×#397	C₂²	1	2	yes	complemented
43	C₁₁×#396	C₂²	1	2	yes	—
44	C₁₁×#396	C₂²	1	2	yes	—
45	C₁₁×#394	C₂²	1	2	yes	—
46	C₁₁×#394	C₂²	1	2	yes	—
47	C₁₁×#394	C₂²	1	2	yes	—
48	C₁₁×#394	C₂²	1	1	yes	characteristic, complemented
49	C₁₁×#393	C₂²	1	1	yes	characteristic
50	C₁₁×#393	C₂²	1	1	yes	characteristic, complemented
51	C₁₁×#392	C₂²	1	1	yes	characteristic
52	C₁₁×#392	C₂²	1	2	yes	—
53	C₁₁×#392	C₂²	1	2	yes	—
54	C₁₁×#392	C₂²	1	2	yes	—
55	C₁₁×#391	C₂²	1	2	yes	complemented
56	C₁₁×#390	C₂²	1	2	yes	—
57	C₁₁×#390	C₂²	1	2	yes	—
58	C₁₁×#390	C₂²	1	2	yes	—
59	C₁₁×#390	C₂²	1	2	yes	complemented
60	C₁₁×#389	C₂²	1	2	yes	complemented
61	C₁₁×#389	C₂²	1	2	yes	complemented
62	C₁₁×#389	C₂²	1	2	yes	complemented
63	C₁₁×#388	C₂²	1	2	yes	—
64	C₁₁×#388	C₂²	1	2	yes	—
65	C₁₁×#388	C₂²	1	2	yes	—
66	C₁₁×#388	C₂²	1	2	yes	—
67	C₁₁×#388	C₂²	1	2	yes	—
68	C₁₁×#388	C₂²	1	2	yes	complemented
69	C₁₁×#388	C₂²	1	2	yes	complemented
70	C₁₁×#388	C₂²	1	2	yes	complemented
71	C₁₁×#388	C₂²	1	2	yes	complemented
72	C₁₁×#388	C₂²	1	2	yes	complemented
73	C₁₁×#388	C₂²	1	2	yes	complemented
74	C₁₁×#387	C₂²	1	2	yes	complemented
75	C₁₁×#387	C₂²	1	2	yes	complemented
76	C₁₁×#387	C₂²	1	2	yes	complemented
77	C₁₁×#387	C₂²	1	2	yes	complemented
78	C₁₁×#386	C₂²	1	2	yes	—
79	C₁₁×#386	C₂²	1	2	yes	—
80	C₁₁×#386	C₂²	1	2	yes	—
81	C₁₁×#386	C₂²	1	2	yes	—
82	C₁₁×#386	C₂²	1	2	yes	—
83	C₁₁×#386	C₂²	1	1	yes	characteristic
84	C₁₁×#386	C₂²	1	2	yes	complemented
85	C₁₁×#386	C₂²	1	2	yes	complemented
86	C₁₁×#385	C₂²	1	1	yes	characteristic
87	C₁₁×#385	C₂²	1	2	yes	—
88	C₁₁×#385	C₂²	1	2	yes	—
89	C₁₁×#385	C₂²	1	2	yes	—
90	C₁₁×#385	C₂²	1	2	yes	—
91	C₁₁×#385	C₂²	1	2	yes	complemented
92	C₁₁×#385	C₂²	1	2	yes	complemented
93	C₁₁×#383	C₂²	1	2	yes	complemented
94	C₁₁×#382	C₂²	1	1	yes	characteristic, complemented
95	C₁₁×#379	C₂²	1	1	yes	characteristic
96	C₁₁×#379	C₂²	1	2	yes	—
97	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	complemented
98	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	complemented
99	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
100	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
101	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
102	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
103	C₄×C₁₁×C₂²⋊C₄	C₂²	1	1	yes	characteristic
104	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
105	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	complemented
106	C₂×C₁₁×#95	C₂²	1	1	yes	characteristic, complemented
107	C₂⁵×C₁₁	C₂³	1	1	yes	characteristic
108	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
109	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
110	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
111	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
112	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
113	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
114	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
115	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
116	C₂³×C₄×C₁₁	—	4	2	no	—
117	C₂³×C₄×C₁₁	—	4	4	no	—
118	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
119	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
120	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
121	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
122	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
123	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
124	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
125	C₁₁×#124	—	2	8	no	—
126	C₁₁×#123	—	2	8	no	—
127	C₁₁×#123	—	4	4	no	—
128	C₁₁×#121	—	2	8	no	—
129	C₁₁×#121	—	4	2	no	—
130	C₁₁×#120	—	2	4	no	—
131	C₁₁×#120	—	2	8	no	—
132	C₄×Q₈×C₁₁	—	4	2	no	—
133	C₄×D₄×C₁₁	—	4	4	no	—
134	C₄×D₄×C₁₁	—	4	2	no	—
135	C₄×D₄×C₁₁	—	4	4	no	—
136	C₄×D₄×C₁₁	—	4	4	no	—
137	C₄×D₄×C₁₁	—	4	4	no	—
138	C₁₁×#117	—	4	4	no	—
139	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
140	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
141	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
142	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
143	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
144	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
145	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
146	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
147	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
148	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
150	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
151	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
152	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
153	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
157	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
158	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
159	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
160	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
161	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
162	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
163	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
164	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
165	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
167	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
168	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
169	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
173	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
174	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
175	C₂×C₁₁×C₂²⋊C₄	C₂³	1	1	yes	characteristic
176	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
178	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
179	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
181	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
182	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
183	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
184	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
185	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
186	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
187	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
188	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
189	C₁₁×#95	C₂³	1	2	yes	—
190	C₁₁×#95	C₂³	1	1	yes	characteristic
191	C₁₁×#95	C₂³	1	1	yes	characteristic
192	C₁₁×#95	C₂³	1	2	yes	—
193	C₁₁×#95	C₂³	1	2	yes	—
194	C₁₁×#95	C₂³	1	2	yes	—
195	C₁₁×#95	C₂³	1	2	yes	—
196	C₁₁×#95	C₂³	1	2	yes	—
197	C₁₁×#95	C₂³	1	2	yes	—
198	C₁₁×#95	C₂³	1	2	yes	—
199	C₁₁×#95	C₂³	1	2	yes	—
200	C₁₁×#95	C₂³	1	2	yes	—
201	C₁₁×#95	C₂³	1	2	yes	—
202	C₁₁×#95	C₂³	1	2	yes	—
203	C₁₁×#95	C₂³	1	1	yes	characteristic
204	C₁₁×#95	C₂³	1	1	yes	characteristic
205	C₁₁×#95	C₂³	1	2	yes	—
206	C₁₁×#95	C₂³	1	2	yes	—
207	C₁₁×#95	C₂³	1	2	yes	—
208	C₁₁×#95	C₂³	1	2	yes	—
209	C₁₁×#95	C₂³	1	2	yes	—
210	#60033	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
211	C₂⁴×C₁₁	—	2	2	no	—
212	C₂⁴×C₁₁	—	2	4	no	—
213	C₂⁴×C₁₁	—	4	1	no	—
214	C₂⁴×C₁₁	—	4	2	no	—
215	C₂⁴×C₁₁	—	4	1	no	—
216	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
217	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
218	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
219	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
220	C₂×Q₈×C₁₁	—	2	4	no	—
221	C₂×Q₈×C₁₁	—	4	1	no	—
222	C₂×D₄×C₁₁	—	2	4	no	—
223	C₂×D₄×C₁₁	—	2	4	no	—
224	C₂×D₄×C₁₁	—	2	4	no	—
225	C₂×D₄×C₁₁	—	2	4	no	—
226	C₂×D₄×C₁₁	—	2	4	no	—
227	C₂×D₄×C₁₁	—	2	4	no	—
228	C₂×D₄×C₁₁	—	2	4	no	—
229	C₂×D₄×C₁₁	—	2	4	no	—
230	C₂×D₄×C₁₁	—	4	1	no	—
231	C₂×D₄×C₁₁	—	4	2	no	—
232	C₂×D₄×C₁₁	—	4	2	no	—
233	C₂×D₄×C₁₁	—	4	2	no	—
234	C₂×D₄×C₁₁	—	4	2	no	—
235	C₂×D₄×C₁₁	—	4	1	no	—
236	C₂×D₄×C₁₁	—	4	2	no	—
237	C₂×D₄×C₁₁	—	4	2	no	—
238	C₂×D₄×C₁₁	—	4	1	no	—
239	C₂×D₄×C₁₁	—	4	2	no	—
240	C₂×D₄×C₁₁	—	4	2	no	—
241	C₂×D₄×C₁₁	#41	1	4	yes	—
242	C₂²×C₄×C₁₁	—	2	4	no	—
243	C₂²×C₄×C₁₁	—	2	4	no	—
244	C₂²×C₄×C₁₁	—	2	4	no	—
245	C₂²×C₄×C₁₁	—	2	4	no	—
246	C₂²×C₄×C₁₁	—	2	4	no	—
247	C₂²×C₄×C₁₁	—	2	2	no	—
248	C₂²×C₄×C₁₁	—	2	4	no	—
249	C₂²×C₄×C₁₁	—	2	2	no	—
250	C₂²×C₄×C₁₁	—	2	4	no	—
251	C₂²×C₄×C₁₁	—	4	2	no	—
252	C₂²×C₄×C₁₁	—	4	1	no	—
253	C₂²×C₄×C₁₁	—	4	2	no	—
254	C₂²×C₄×C₁₁	—	4	2	no	—
255	C₂²×C₄×C₁₁	—	4	2	no	—
256	C₂²×C₄×C₁₁	—	4	2	no	—
257	C₂²×C₄×C₁₁	—	4	2	no	—
258	C₂²×C₄×C₁₁	—	4	2	no	—
259	C₂²×C₄×C₁₁	—	4	2	no	—
260	C₂²×C₄×C₁₁	—	4	16	no	—
261	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
262	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
263	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
264	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
265	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
266	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
267	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
268	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
269	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
270	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
271	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
272	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
273	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
274	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
275	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
276	C₁₁×C₄⋊C₄	—	2	4	no	—
277	C₁₁×C₄⋊C₄	—	2	4	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	—	2	4	no	—
282	C₁₁×C₄⋊C₄	—	4	2	no	—
283	C₁₁×C₄⋊C₄	—	4	2	no	—
284	C₁₁×C₄⋊C₄	—	4	2	no	—
285	C₁₁×C₄⋊C₄	—	4	1	no	—
286	C₁₁×C₄⋊C₄	—	4	2	no	—
287	C₁₁×C₄⋊C₄	—	4	1	no	—
288	C₁₁×C₄⋊C₄	—	4	1	no	—
289	C₁₁×C₄⋊C₄	—	4	2	no	—
290	C₁₁×C₂²⋊C₄	—	2	2	no	—
291	C₁₁×C₂²⋊C₄	—	2	4	no	—
292	C₁₁×C₂²⋊C₄	—	2	4	no	—
293	C₁₁×C₂²⋊C₄	—	2	4	no	—
294	C₁₁×C₂²⋊C₄	—	2	4	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	4	no	—
300	C₁₁×C₂²⋊C₄	—	2	4	no	—
301	C₁₁×C₂²⋊C₄	—	2	4	no	—
302	C₁₁×C₂²⋊C₄	—	2	4	no	—
303	C₁₁×C₂²⋊C₄	—	2	4	no	—
304	C₁₁×C₂²⋊C₄	—	4	1	no	—
305	C₁₁×C₂²⋊C₄	—	4	2	no	—
306	C₁₁×C₂²⋊C₄	—	4	2	no	—
307	C₁₁×C₂²⋊C₄	—	4	2	no	—
308	C₁₁×C₂²⋊C₄	—	4	2	no	—
309	C₁₁×C₂²⋊C₄	—	4	2	no	—
310	C₁₁×C₂²⋊C₄	—	4	1	no	—
311	C₁₁×C₂²⋊C₄	—	4	1	no	—
312	C₁₁×C₂²⋊C₄	—	4	2	no	—
313	C₁₁×C₂²⋊C₄	—	4	2	no	—
314	C₁₁×C₂²⋊C₄	—	4	2	no	—
315	C₁₁×C₂²⋊C₄	—	4	2	no	—
316	C₁₁×C₂²⋊C₄	—	4	2	no	—
317	C₁₁×C₂²⋊C₄	#41	1	8	yes	—
318	C₄²×C₁₁	—	2	4	no	—
319	C₄²×C₁₁	—	2	4	no	—
320	C₄²×C₁₁	—	2	2	no	—
321	C₄²×C₁₁	—	4	2	no	—
322	C₄²×C₁₁	—	4	2	no	—
323	C₄²×C₁₁	—	4	2	no	—
324	C₄²×C₁₁	—	4	2	no	—
325	C₄²×C₁₁	—	4	2	no	—
326	#2735	C₂×C₁₁	1	1	yes	characteristic, complemented
327	#2678	C₂×C₁₁	1	2	yes	complemented
328	#2670	C₂×C₁₁	1	1	yes	characteristic, complemented
329	#2602	C₂×C₁₁	1	2	yes	complemented
330	#2598	C₂×C₁₁	1	2	yes	complemented
331	#2597	C₂×C₁₁	1	2	yes	complemented
332	#2587	C₂×C₁₁	1	2	yes	complemented
333	#2580	C₂×C₁₁	1	1	yes	characteristic, complemented
334	#2557	C₂×C₁₁	1	2	yes	complemented
335	#2543	C₂×C₁₁	1	1	yes	characteristic, complemented
336	#2523	C₂×C₁₁	1	1	yes	characteristic, complemented
337	#2518	C₂×C₁₁	1	2	yes	complemented
338	#2456	C₂×C₁₁	1	2	yes	complemented
339	#2455	C₂×C₁₁	1	1	yes	characteristic, complemented
340	#2367	C₂×C₁₁	1	2	yes	complemented
341	#2363	C₂×C₁₁	1	2	yes	complemented
342	#2359	C₂×C₁₁	1	2	yes	complemented
343	C₄×#120	C₂×C₁₁	1	1	yes	characteristic, complemented
344	C₄×#120	C₂×C₁₁	1	2	yes	complemented
345	C₂³×C₁₁	—	2	2	no	—
346	C₂³×C₁₁	—	2	2	no	—
347	C₂³×C₁₁	—	2	2	no	—
348	C₂³×C₁₁	—	2	2	no	—
349	C₂³×C₁₁	—	2	2	no	—
350	C₂³×C₁₁	—	2	2	no	—
351	C₂³×C₁₁	—	2	2	no	—
352	C₂³×C₁₁	—	2	2	no	—
353	C₂³×C₁₁	—	2	1	no	—
354	C₂³×C₁₁	—	2	2	no	—
355	C₂³×C₁₁	—	2	1	no	—
356	C₂³×C₁₁	—	2	1	no	—
357	C₂³×C₁₁	—	2	2	no	—
358	C₂³×C₁₁	—	2	1	no	—
359	C₂³×C₁₁	—	2	2	no	—
360	C₂³×C₁₁	—	2	2	no	—
361	C₂³×C₁₁	—	2	2	no	—
362	C₂³×C₁₁	—	2	2	no	—
363	C₂³×C₁₁	—	2	2	no	—
364	C₂³×C₁₁	—	2	2	no	—
365	C₂³×C₁₁	—	2	2	no	—
366	C₂³×C₁₁	—	4	4	no	—
367	C₂³×C₁₁	—	4	8	no	—
368	C₂³×C₁₁	—	4	4	no	—
369	C₂³×C₁₁	—	4	8	no	—
370	C₂³×C₁₁	—	4	4	no	—
371	C₂³×C₁₁	C₂×#41	1	2	yes	—
372	C₂³×C₁₁	C₂×#41	1	4	yes	—
373	C₂³×C₁₁	C₂×#41	1	2	yes	—
374	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
375	Q₈×C₁₁	—	4	4	no	—
376	D₄×C₁₁	—	4	4	no	—
377	D₄×C₁₁	—	4	8	no	—
378	D₄×C₁₁	—	4	8	no	—
379	D₄×C₁₁	—	4	8	no	—
380	D₄×C₁₁	—	4	8	no	—
381	D₄×C₁₁	—	8	4	no	—
382	D₄×C₁₁	—	8	2	no	—
383	C₂×C₄×C₁₁	—	2	2	no	—
384	C₂×C₄×C₁₁	—	2	2	no	—
385	C₂×C₄×C₁₁	—	2	1	no	—
386	C₂×C₄×C₁₁	—	2	2	no	—
387	C₂×C₄×C₁₁	—	2	2	no	—
388	C₂×C₄×C₁₁	—	2	2	no	—
389	C₂×C₄×C₁₁	—	2	2	no	—
390	C₂×C₄×C₁₁	—	2	2	no	—
391	C₂×C₄×C₁₁	—	2	1	no	—
392	C₂×C₄×C₁₁	—	2	2	no	—
393	C₂×C₄×C₁₁	—	2	2	no	—
394	C₂×C₄×C₁₁	—	2	2	no	—
395	C₂×C₄×C₁₁	—	2	2	no	—
396	C₂×C₄×C₁₁	—	2	2	no	—
397	C₂×C₄×C₁₁	—	2	2	no	—
398	C₂×C₄×C₁₁	—	2	2	no	—
399	C₂×C₄×C₁₁	—	2	2	no	—
400	C₂×C₄×C₁₁	—	2	2	no	—
401	C₂×C₄×C₁₁	—	2	2	no	—
402	C₂×C₄×C₁₁	—	2	1	no	—
403	C₂×C₄×C₁₁	—	2	2	no	—
404	C₂×C₄×C₁₁	—	2	2	no	—
405	C₂×C₄×C₁₁	—	2	2	no	—
406	C₂×C₄×C₁₁	—	2	2	no	—
407	C₂×C₄×C₁₁	—	2	2	no	—
408	C₂×C₄×C₁₁	—	2	2	no	—
409	C₂×C₄×C₁₁	—	2	2	no	—
410	C₂×C₄×C₁₁	—	2	2	no	—
411	C₂×C₄×C₁₁	—	2	2	no	—
412	C₂×C₄×C₁₁	—	2	1	no	—
413	C₂×C₄×C₁₁	—	2	1	no	—
414	C₂×C₄×C₁₁	—	2	2	no	—
415	C₂×C₄×C₁₁	—	2	2	no	—
416	C₂×C₄×C₁₁	—	2	2	no	—
417	C₂×C₄×C₁₁	—	2	2	no	—
418	C₂×C₄×C₁₁	—	2	2	no	—
419	C₂×C₄×C₁₁	—	4	4	no	—
420	C₂×C₄×C₁₁	—	4	8	no	—
421	C₂×C₄×C₁₁	—	4	8	no	—
422	C₂×C₄×C₁₁	—	4	8	no	—
423	C₂×C₄×C₁₁	—	4	4	no	—
424	C₂×C₄×C₁₁	—	8	4	no	—
425	C₂×C₄×C₁₁	—	8	2	no	—
426	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
427	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
428	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
429	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
430	C₂×C₄×C₁₁	H(5,𝔽₂)	1	4	yes	—
431	C₂⁴×C₄	C₂²×C₁₁	1	1	yes	characteristic
432	C₂×#124	C₂²×C₁₁	1	2	yes	—
433	C₂×#123	C₂²×C₁₁	1	2	yes	—
434	C₂×#123	C₂²×C₁₁	1	2	yes	complemented
435	C₂×#121	C₂²×C₁₁	1	2	yes	—
436	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic, complemented
437	C₂×#120	C₂²×C₁₁	1	2	yes	—
438	C₂×#120	C₂²×C₁₁	1	1	yes	characteristic
439	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
440	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
441	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
442	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
443	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
444	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
445	C₂×#117	C₂²×C₁₁	1	2	yes	complemented
446	#400	C₂²×C₁₁	1	2	yes	complemented
447	#399	C₂²×C₁₁	1	1	yes	characteristic
448	#399	C₂²×C₁₁	1	1	yes	characteristic, complemented
449	#398	C₂²×C₁₁	1	1	yes	characteristic, complemented
450	#397	C₂²×C₁₁	1	2	yes	—
451	#397	C₂²×C₁₁	1	2	yes	—
452	#397	C₂²×C₁₁	1	1	yes	characteristic
453	#397	C₂²×C₁₁	1	2	yes	complemented
454	#396	C₂²×C₁₁	1	2	yes	—
455	#396	C₂²×C₁₁	1	2	yes	—
456	#394	C₂²×C₁₁	1	2	yes	—
457	#394	C₂²×C₁₁	1	2	yes	—
458	#394	C₂²×C₁₁	1	2	yes	—
459	#394	C₂²×C₁₁	1	1	yes	characteristic, complemented
460	#393	C₂²×C₁₁	1	1	yes	characteristic
461	#393	C₂²×C₁₁	1	1	yes	characteristic, complemented
462	#392	C₂²×C₁₁	1	2	yes	—
463	#392	C₂²×C₁₁	1	2	yes	—
464	#392	C₂²×C₁₁	1	1	yes	characteristic
465	#392	C₂²×C₁₁	1	2	yes	—
466	#391	C₂²×C₁₁	1	2	yes	complemented
467	#390	C₂²×C₁₁	1	2	yes	—
468	#390	C₂²×C₁₁	1	2	yes	—
469	#390	C₂²×C₁₁	1	2	yes	—
470	#390	C₂²×C₁₁	1	2	yes	complemented
471	#389	C₂²×C₁₁	1	2	yes	complemented
472	#389	C₂²×C₁₁	1	2	yes	complemented
473	#389	C₂²×C₁₁	1	2	yes	complemented
474	#388	C₂²×C₁₁	1	2	yes	—
475	#388	C₂²×C₁₁	1	2	yes	—
476	#388	C₂²×C₁₁	1	2	yes	—
477	#388	C₂²×C₁₁	1	2	yes	—
478	#388	C₂²×C₁₁	1	2	yes	—
479	#388	C₂²×C₁₁	1	2	yes	complemented
480	#388	C₂²×C₁₁	1	2	yes	complemented
481	#388	C₂²×C₁₁	1	2	yes	complemented
482	#388	C₂²×C₁₁	1	2	yes	complemented
483	#388	C₂²×C₁₁	1	2	yes	complemented
484	#388	C₂²×C₁₁	1	2	yes	complemented
485	#387	C₂²×C₁₁	1	2	yes	complemented
486	#387	C₂²×C₁₁	1	2	yes	complemented
487	#387	C₂²×C₁₁	1	2	yes	complemented
488	#387	C₂²×C₁₁	1	2	yes	complemented
489	#386	C₂²×C₁₁	1	2	yes	—
490	#386	C₂²×C₁₁	1	2	yes	—
491	#386	C₂²×C₁₁	1	2	yes	—
492	#386	C₂²×C₁₁	1	2	yes	—
493	#386	C₂²×C₁₁	1	1	yes	characteristic
494	#386	C₂²×C₁₁	1	2	yes	—
495	#386	C₂²×C₁₁	1	2	yes	complemented
496	#386	C₂²×C₁₁	1	2	yes	complemented
497	#385	C₂²×C₁₁	1	2	yes	—
498	#385	C₂²×C₁₁	1	2	yes	—
499	#385	C₂²×C₁₁	1	2	yes	—
500	#385	C₂²×C₁₁	1	2	yes	—
501	#385	C₂²×C₁₁	1	1	yes	characteristic
502	#385	C₂²×C₁₁	1	2	yes	complemented
503	#385	C₂²×C₁₁	1	2	yes	complemented
504	#383	C₂²×C₁₁	1	2	yes	complemented
505	#382	C₂²×C₁₁	1	1	yes	characteristic, complemented
506	#379	C₂²×C₁₁	1	1	yes	characteristic
507	#379	C₂²×C₁₁	1	2	yes	—
508	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	complemented
509	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	complemented
510	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
511	C₄×C₂²⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
512	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
513	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
514	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
515	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
516	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	complemented
517	C₂×#95	C₂²×C₁₁	1	1	yes	characteristic, complemented
518	C₂²×C₁₁	—	2	4	no	—
519	C₂²×C₁₁	—	2	4	no	—
520	C₂²×C₁₁	—	2	4	no	—
521	C₂²×C₁₁	—	2	4	no	—
522	C₂²×C₁₁	—	2	2	no	—
523	C₂²×C₁₁	—	2	2	no	—
524	C₂²×C₁₁	—	2	4	no	—
525	C₂²×C₁₁	—	4	16	no	—
526	C₂²×C₁₁	—	4	1	no	—
527	C₂²×C₁₁	—	4	1	no	—
528	C₂²×C₁₁	—	4	2	no	—
529	C₂²×C₁₁	—	4	2	no	—
530	C₂²×C₁₁	—	4	2	no	—
531	C₂²×C₁₁	—	4	2	no	—
532	C₂²×C₁₁	—	4	2	no	—
533	C₂²×C₁₁	—	4	1	no	—
534	C₂²×C₁₁	—	4	2	no	—
535	C₂²×C₁₁	—	4	1	no	—
536	C₂²×C₁₁	—	4	2	no	—
537	C₂²×C₁₁	—	4	2	no	—
538	C₂²×C₁₁	—	4	2	no	—
539	C₂²×C₁₁	—	4	2	no	—
540	C₂²×C₁₁	—	4	2	no	—
541	C₂²×C₁₁	—	4	2	no	—
542	C₂²×C₁₁	—	4	2	no	—
543	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
544	C₂²×C₁₁	C₂²×#41	1	2	yes	—
545	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
546	C₂²×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
547	C₂²×C₁₁	#585	1	1	yes	characteristic
548	C₄×C₁₁	—	2	4	no	—
549	C₄×C₁₁	—	2	4	no	—
550	C₄×C₁₁	—	2	2	no	—
551	C₄×C₁₁	—	2	4	no	—
552	C₄×C₁₁	—	2	2	no	—
553	C₄×C₁₁	—	4	2	no	—
554	C₄×C₁₁	—	4	2	no	—
555	C₄×C₁₁	—	4	1	no	—
556	C₄×C₁₁	—	4	2	no	—
557	C₄×C₁₁	—	4	2	no	—
558	C₄×C₁₁	—	4	2	no	—
559	C₄×C₁₁	—	4	2	no	—
560	C₄×C₁₁	—	4	1	no	—
561	C₄×C₁₁	—	4	2	no	—
562	C₄×C₁₁	—	4	1	no	—
563	C₂⁵	C₂³×C₁₁	1	1	yes	characteristic
564	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
565	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
566	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
567	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
568	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
569	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
570	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
571	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
572	C₂³×C₄	—	4	2	no	—
573	C₂³×C₄	—	4	4	no	—
574	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
575	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
576	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
577	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
578	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
579	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
580	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
581	#124	—	2	8	no	—
582	#123	—	2	8	no	—
583	#123	—	4	4	no	—
584	#121	—	2	8	no	—
585	#121	—	4	2	no	—
586	#120	—	2	4	no	—
587	#120	—	2	8	no	—
588	C₄×Q₈	—	4	2	no	—
589	C₄×D₄	—	4	4	no	—
590	C₄×D₄	—	4	2	no	—
591	C₄×D₄	—	4	4	no	—
592	C₄×D₄	—	4	4	no	—
593	C₄×D₄	—	4	4	no	—
594	#117	—	4	4	no	—
595	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
596	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
597	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
598	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
599	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
600	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
601	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
602	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
603	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
604	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
605	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
606	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
607	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
608	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
609	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
610	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
611	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
612	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
613	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
614	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
615	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
616	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
617	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
618	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
619	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
620	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
621	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
622	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
623	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
624	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
625	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
626	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
627	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
628	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
629	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
630	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
631	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
632	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
633	C₂×C₂²⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
634	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
635	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
636	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
637	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
638	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
639	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
640	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
641	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
642	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
643	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
644	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
645	#95	C₂³×C₁₁	1	2	yes	—
646	#95	C₂³×C₁₁	1	1	yes	characteristic
647	#95	C₂³×C₁₁	1	1	yes	characteristic
648	#95	C₂³×C₁₁	1	2	yes	—
649	#95	C₂³×C₁₁	1	2	yes	—
650	#95	C₂³×C₁₁	1	2	yes	—
651	#95	C₂³×C₁₁	1	2	yes	—
652	#95	C₂³×C₁₁	1	2	yes	—
653	#95	C₂³×C₁₁	1	2	yes	—
654	#95	C₂³×C₁₁	1	2	yes	—
655	#95	C₂³×C₁₁	1	2	yes	—
656	#95	C₂³×C₁₁	1	2	yes	—
657	#95	C₂³×C₁₁	1	2	yes	—
658	#95	C₂³×C₁₁	1	2	yes	—
659	#95	C₂³×C₁₁	1	1	yes	characteristic
660	#95	C₂³×C₁₁	1	1	yes	characteristic
661	#95	C₂³×C₁₁	1	2	yes	—
662	#95	C₂³×C₁₁	1	2	yes	—
663	#95	C₂³×C₁₁	1	2	yes	—
664	#95	C₂³×C₁₁	1	2	yes	—
665	#95	C₂³×C₁₁	1	2	yes	—
666	C₂×C₁₁	—	4	2	no	—
667	C₂×C₁₁	—	4	2	no	—
668	C₂×C₁₁	—	4	4	no	—
669	C₂×C₁₁	—	8	2	no	—
670	C₂×C₁₁	#3481	1	1	yes	characteristic
671	C₂×C₁₁	#3481	1	2	yes	—
672	C₂×C₁₁	#3505	1	1	yes	characteristic
673	C₂×C₁₁	#3506	1	2	yes	—
674	C₂×C₁₁	#3532	1	1	yes	characteristic
675	C₂⁴	—	2	2	no	—
676	C₂⁴	—	2	4	no	—
677	C₂⁴	—	4	1	no	—
678	C₂⁴	—	4	2	no	—
679	C₂⁴	—	4	1	no	—
680	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
681	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
682	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
683	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
684	C₂×Q₈	—	2	4	no	—
685	C₂×Q₈	—	4	1	no	—
686	C₂×D₄	—	2	4	no	—
687	C₂×D₄	—	2	4	no	—
688	C₂×D₄	—	2	4	no	—
689	C₂×D₄	—	2	4	no	—
690	C₂×D₄	—	2	4	no	—
691	C₂×D₄	—	2	4	no	—
692	C₂×D₄	—	2	4	no	—
693	C₂×D₄	—	2	4	no	—
694	C₂×D₄	—	4	1	no	—
695	C₂×D₄	—	4	2	no	—
696	C₂×D₄	—	4	2	no	—
697	C₂×D₄	—	4	2	no	—
698	C₂×D₄	—	4	2	no	—
699	C₂×D₄	—	4	1	no	—
700	C₂×D₄	—	4	2	no	—
701	C₂×D₄	—	4	2	no	—
702	C₂×D₄	—	4	1	no	—
703	C₂×D₄	—	4	2	no	—
704	C₂×D₄	—	4	2	no	—
705	C₂×D₄	C₁₁×#41	1	4	yes	—
706	C₂²×C₄	—	2	4	no	—
707	C₂²×C₄	—	2	4	no	—
708	C₂²×C₄	—	2	4	no	—
709	C₂²×C₄	—	2	4	no	—
710	C₂²×C₄	—	2	4	no	—
711	C₂²×C₄	—	2	2	no	—
712	C₂²×C₄	—	2	4	no	—
713	C₂²×C₄	—	2	2	no	—
714	C₂²×C₄	—	2	4	no	—
715	C₂²×C₄	—	4	2	no	—
716	C₂²×C₄	—	4	1	no	—
717	C₂²×C₄	—	4	2	no	—
718	C₂²×C₄	—	4	2	no	—
719	C₂²×C₄	—	4	2	no	—
720	C₂²×C₄	—	4	2	no	—
721	C₂²×C₄	—	4	2	no	—
722	C₂²×C₄	—	4	2	no	—
723	C₂²×C₄	—	4	2	no	—
724	C₂²×C₄	—	4	16	no	—
725	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
726	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
727	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
728	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
729	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
730	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
731	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
732	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
733	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
734	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
735	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
736	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
737	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
738	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
739	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
740	C₄⋊C₄	—	2	4	no	—
741	C₄⋊C₄	—	2	4	no	—
742	C₄⋊C₄	—	2	4	no	—
743	C₄⋊C₄	—	2	4	no	—
744	C₄⋊C₄	—	2	4	no	—
745	C₄⋊C₄	—	2	4	no	—
746	C₄⋊C₄	—	4	2	no	—
747	C₄⋊C₄	—	4	1	no	—
748	C₄⋊C₄	—	4	2	no	—
749	C₄⋊C₄	—	4	1	no	—
750	C₄⋊C₄	—	4	1	no	—
751	C₄⋊C₄	—	4	2	no	—
752	C₄⋊C₄	—	4	2	no	—
753	C₄⋊C₄	—	4	2	no	—
754	C₂²⋊C₄	—	2	2	no	—
755	C₂²⋊C₄	—	2	4	no	—
756	C₂²⋊C₄	—	2	4	no	—
757	C₂²⋊C₄	—	2	4	no	—
758	C₂²⋊C₄	—	2	4	no	—
759	C₂²⋊C₄	—	2	4	no	—
760	C₂²⋊C₄	—	2	4	no	—
761	C₂²⋊C₄	—	2	4	no	—
762	C₂²⋊C₄	—	2	4	no	—
763	C₂²⋊C₄	—	2	4	no	—
764	C₂²⋊C₄	—	2	4	no	—
765	C₂²⋊C₄	—	2	4	no	—
766	C₂²⋊C₄	—	2	4	no	—
767	C₂²⋊C₄	—	2	4	no	—
768	C₂²⋊C₄	—	4	2	no	—
769	C₂²⋊C₄	—	4	2	no	—
770	C₂²⋊C₄	—	4	2	no	—
771	C₂²⋊C₄	—	4	1	no	—
772	C₂²⋊C₄	—	4	1	no	—
773	C₂²⋊C₄	—	4	2	no	—
774	C₂²⋊C₄	—	4	2	no	—
775	C₂²⋊C₄	—	4	2	no	—
776	C₂²⋊C₄	—	4	2	no	—
777	C₂²⋊C₄	—	4	2	no	—
778	C₂²⋊C₄	—	4	1	no	—
779	C₂²⋊C₄	—	4	2	no	—
780	C₂²⋊C₄	—	4	2	no	—
781	C₂²⋊C₄	C₁₁×#41	1	8	yes	—
782	C₄²	—	2	4	no	—
783	C₄²	—	2	4	no	—
784	C₄²	—	2	2	no	—
785	C₄²	—	4	2	no	—
786	C₄²	—	4	2	no	—
787	C₄²	—	4	2	no	—
788	C₄²	—	4	2	no	—
789	C₄²	—	4	2	no	—
790	C₁₁	#60033	1	1	yes	characteristic, direct product factor, Sylow
791	C₂³	—	2	2	no	—
792	C₂³	—	2	2	no	—
793	C₂³	—	2	2	no	—
794	C₂³	—	2	2	no	—
795	C₂³	—	2	2	no	—
796	C₂³	—	2	2	no	—
797	C₂³	—	2	2	no	—
798	C₂³	—	2	2	no	—
799	C₂³	—	2	1	no	—
800	C₂³	—	2	2	no	—
801	C₂³	—	2	1	no	—
802	C₂³	—	2	1	no	—
803	C₂³	—	2	2	no	—
804	C₂³	—	2	1	no	—
805	C₂³	—	2	2	no	—
806	C₂³	—	2	2	no	—
807	C₂³	—	2	2	no	—
808	C₂³	—	2	2	no	—
809	C₂³	—	2	2	no	—
810	C₂³	—	2	2	no	—
811	C₂³	—	2	2	no	—
812	C₂³	—	4	4	no	—
813	C₂³	—	4	8	no	—
814	C₂³	—	4	4	no	—
815	C₂³	—	4	8	no	—
816	C₂³	—	4	4	no	—
817	C₂³	C₂×C₁₁×#41	1	2	yes	—
818	C₂³	C₂×C₁₁×#41	1	4	yes	—
819	C₂³	C₂×C₁₁×#41	1	2	yes	—
820	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
821	Q₈	—	4	4	no	—
822	D₄	—	4	4	no	—
823	D₄	—	4	8	no	—
824	D₄	—	4	8	no	—
825	D₄	—	4	8	no	—
826	D₄	—	4	8	no	—
827	D₄	—	8	4	no	—
828	D₄	—	8	2	no	—
829	C₂×C₄	—	2	2	no	—
830	C₂×C₄	—	2	2	no	—
831	C₂×C₄	—	2	1	no	—
832	C₂×C₄	—	2	2	no	—
833	C₂×C₄	—	2	2	no	—
834	C₂×C₄	—	2	2	no	—
835	C₂×C₄	—	2	2	no	—
836	C₂×C₄	—	2	2	no	—
837	C₂×C₄	—	2	1	no	—
838	C₂×C₄	—	2	2	no	—
839	C₂×C₄	—	2	2	no	—
840	C₂×C₄	—	2	2	no	—
841	C₂×C₄	—	2	2	no	—
842	C₂×C₄	—	2	2	no	—
843	C₂×C₄	—	2	2	no	—
844	C₂×C₄	—	2	2	no	—
845	C₂×C₄	—	2	2	no	—
846	C₂×C₄	—	2	2	no	—
847	C₂×C₄	—	2	2	no	—
848	C₂×C₄	—	2	1	no	—
849	C₂×C₄	—	2	2	no	—
850	C₂×C₄	—	2	2	no	—
851	C₂×C₄	—	2	2	no	—
852	C₂×C₄	—	2	2	no	—
853	C₂×C₄	—	2	2	no	—
854	C₂×C₄	—	2	2	no	—
855	C₂×C₄	—	2	2	no	—
856	C₂×C₄	—	2	2	no	—
857	C₂×C₄	—	2	2	no	—
858	C₂×C₄	—	2	1	no	—
859	C₂×C₄	—	2	1	no	—
860	C₂×C₄	—	2	2	no	—
861	C₂×C₄	—	2	2	no	—
862	C₂×C₄	—	2	2	no	—
863	C₂×C₄	—	2	2	no	—
864	C₂×C₄	—	2	2	no	—
865	C₂×C₄	—	4	4	no	—
866	C₂×C₄	—	4	8	no	—
867	C₂×C₄	—	4	8	no	—
868	C₂×C₄	—	4	8	no	—
869	C₂×C₄	—	4	4	no	—
870	C₂×C₄	—	8	2	no	—
871	C₂×C₄	—	8	4	no	—
872	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
873	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
874	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
875	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
876	C₂×C₄	C₁₁×H(5,𝔽₂)	1	4	yes	—
877	C₂²	—	2	4	no	—
878	C₂²	—	2	4	no	—
879	C₂²	—	2	4	no	—
880	C₂²	—	2	4	no	—
881	C₂²	—	2	2	no	—
882	C₂²	—	2	2	no	—
883	C₂²	—	2	4	no	—
884	C₂²	—	4	16	no	—
885	C₂²	—	4	1	no	—
886	C₂²	—	4	2	no	—
887	C₂²	—	4	1	no	—
888	C₂²	—	4	2	no	—
889	C₂²	—	4	2	no	—
890	C₂²	—	4	2	no	—
891	C₂²	—	4	2	no	—
892	C₂²	—	4	1	no	—
893	C₂²	—	4	2	no	—
894	C₂²	—	4	1	no	—
895	C₂²	—	4	2	no	—
896	C₂²	—	4	2	no	—
897	C₂²	—	4	2	no	—
898	C₂²	—	4	2	no	—
899	C₂²	—	4	2	no	—
900	C₂²	—	4	2	no	—
901	C₂²	—	4	2	no	—
902	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
903	C₂²	C₂²×C₁₁×#41	1	2	yes	—
904	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
905	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	2	yes	—
906	C₂²	C₁₁×#585	1	1	yes	characteristic
907	C₄	—	2	4	no	—
908	C₄	—	2	4	no	—
909	C₄	—	2	2	no	—
910	C₄	—	2	4	no	—
911	C₄	—	2	2	no	—
912	C₄	—	4	2	no	—
913	C₄	—	4	2	no	—
914	C₄	—	4	1	no	—
915	C₄	—	4	2	no	—
916	C₄	—	4	2	no	—
917	C₄	—	4	2	no	—
918	C₄	—	4	2	no	—
919	C₄	—	4	1	no	—
920	C₄	—	4	1	no	—
921	C₄	—	4	2	no	—
922	C₂	—	4	2	no	—
923	C₂	—	4	4	no	—
924	C₂	—	4	2	no	—
925	C₂	—	8	2	no	—
926	C₂	C₁₁×#3481	1	1	yes	characteristic
927	C₂	C₁₁×#3481	1	2	yes	—
928	C₂	C₁₁×#3505	1	1	yes	characteristic
929	C₂	C₁₁×#3506	1	2	yes	—
930	C₂	C₁₁×#3532	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₁
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. C₁₁×#2735	C₂	semidirect
2. C₁₁×#2678	C₂	semidirect
3. C₁₁×#2670	C₂	semidirect
4. C₁₁×#2602	C₂	semidirect
5. C₁₁×#2598	C₂	semidirect
6. C₁₁×#2597	C₂	semidirect
7. C₁₁×#2587	C₂	semidirect
8. C₁₁×#2580	C₂	semidirect
9. C₁₁×#2557	C₂	semidirect
10. C₁₁×#2543	C₂	semidirect
11. C₁₁×#2523	C₂	semidirect
12. C₁₁×#2518	C₂	semidirect
13. C₁₁×#2456	C₂	semidirect
14. C₁₁×#2455	C₂	semidirect
15. C₁₁×#2367	C₂	semidirect
16. C₁₁×#2363	C₂	semidirect
17. C₁₁×#2359	C₂	semidirect
18. C₄×C₁₁×#120	C₂	semidirect
19. C₄×C₁₁×#120	C₂	semidirect
23. C₂×C₁₁×#123	C₂²	semidirect
25. C₂×C₁₁×#121	C₂²	semidirect
28. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
34. C₂×C₁₁×#117	C₂²	semidirect
35. C₁₁×#400	C₂²	semidirect
37. C₁₁×#399	C₂²	semidirect
38. C₁₁×#398	C₂²	semidirect
42. C₁₁×#397	C₂²	semidirect
48. C₁₁×#394	C₂²	semidirect
50. C₁₁×#393	C₂²	semidirect
55. C₁₁×#391	C₂²	semidirect
59. C₁₁×#390	C₂²	semidirect
60. C₁₁×#389	C₂²	semidirect
61. C₁₁×#389	C₂²	semidirect
62. C₁₁×#389	C₂²	semidirect
68. C₁₁×#388	C₂²	semidirect
69. C₁₁×#388	C₂²	semidirect
70. C₁₁×#388	C₂²	semidirect
71. C₁₁×#388	C₂²	semidirect
72. C₁₁×#388	C₂²	semidirect
73. C₁₁×#388	C₂²	semidirect
74. C₁₁×#387	C₂²	semidirect
75. C₁₁×#387	C₂²	semidirect
76. C₁₁×#387	C₂²	semidirect
77. C₁₁×#387	C₂²	semidirect
84. C₁₁×#386	C₂²	semidirect
85. C₁₁×#386	C₂²	semidirect
91. C₁₁×#385	C₂²	semidirect
92. C₁₁×#385	C₂²	semidirect
93. C₁₁×#383	C₂²	semidirect
94. C₁₁×#382	C₂²	semidirect
97. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
98. C₄×C₁₁×C₄⋊C₄	C₂²	semidirect
104. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
105. C₄×C₁₁×C₂²⋊C₄	C₂²	semidirect
106. C₂×C₁₁×#95	C₂²	semidirect
210. #60033	C₁₁	direct (N × H)
326. #2735	C₂×C₁₁	semidirect
327. #2678	C₂×C₁₁	semidirect
328. #2670	C₂×C₁₁	semidirect
329. #2602	C₂×C₁₁	semidirect
330. #2598	C₂×C₁₁	semidirect
331. #2597	C₂×C₁₁	semidirect
332. #2587	C₂×C₁₁	semidirect
333. #2580	C₂×C₁₁	semidirect
334. #2557	C₂×C₁₁	semidirect
335. #2543	C₂×C₁₁	semidirect
336. #2523	C₂×C₁₁	semidirect
337. #2518	C₂×C₁₁	semidirect
338. #2456	C₂×C₁₁	semidirect
339. #2455	C₂×C₁₁	semidirect
340. #2367	C₂×C₁₁	semidirect
341. #2363	C₂×C₁₁	semidirect
342. #2359	C₂×C₁₁	semidirect
343. C₄×#120	C₂×C₁₁	semidirect
344. C₄×#120	C₂×C₁₁	semidirect
434. C₂×#123	C₂²×C₁₁	semidirect
436. C₂×#121	C₂²×C₁₁	semidirect
439. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
445. C₂×#117	C₂²×C₁₁	semidirect
446. #400	C₂²×C₁₁	semidirect
448. #399	C₂²×C₁₁	semidirect
449. #398	C₂²×C₁₁	semidirect
453. #397	C₂²×C₁₁	semidirect
459. #394	C₂²×C₁₁	semidirect
461. #393	C₂²×C₁₁	semidirect
466. #391	C₂²×C₁₁	semidirect
470. #390	C₂²×C₁₁	semidirect
471. #389	C₂²×C₁₁	semidirect
472. #389	C₂²×C₁₁	semidirect
473. #389	C₂²×C₁₁	semidirect
479. #388	C₂²×C₁₁	semidirect
480. #388	C₂²×C₁₁	semidirect
481. #388	C₂²×C₁₁	semidirect
482. #388	C₂²×C₁₁	semidirect
483. #388	C₂²×C₁₁	semidirect
484. #388	C₂²×C₁₁	semidirect
485. #387	C₂²×C₁₁	semidirect
486. #387	C₂²×C₁₁	semidirect
487. #387	C₂²×C₁₁	semidirect
488. #387	C₂²×C₁₁	semidirect
495. #386	C₂²×C₁₁	semidirect
496. #386	C₂²×C₁₁	semidirect
502. #385	C₂²×C₁₁	semidirect
503. #385	C₂²×C₁₁	semidirect
504. #383	C₂²×C₁₁	semidirect
505. #382	C₂²×C₁₁	semidirect
508. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
509. C₄×C₄⋊C₄	C₂²×C₁₁	semidirect
515. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
516. C₄×C₂²⋊C₄	C₂²×C₁₁	semidirect
517. C₂×#95	C₂²×C₁₁	semidirect
790. C₁₁	#60033	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×#2735	2
C₁₁×#2678	2
C₁₁×#2670	2
C₁₁×#2602	2
C₁₁×#2598	2
C₁₁×#2597	2
C₁₁×#2587	2
C₁₁×#2580	2
C₁₁×#2557	2
C₁₁×#2543	2
C₁₁×#2523	2
C₁₁×#2518	2
C₁₁×#2456	2
C₁₁×#2455	2
C₁₁×#2367	2
C₁₁×#2363	2
C₁₁×#2359	2
C₄×C₁₁×#120	2
#60033	11

Subgroups — C11×#60033 #14637226

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60033 #14637226