Subgroups — C₁₁×#34253 #14611446

Order 2816.

2426 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#520	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2353	C₂	1	4	yes	maximal, complemented
3	C₁₁×#2352	C₂	1	4	yes	maximal, complemented
4	C₁₁×#2347	C₂	1	2	yes	maximal, complemented
5	C₁₁×#2346	C₂	1	2	yes	maximal, complemented
6	C₁₁×#2345	C₂	1	2	yes	maximal, complemented
7	C₁₁×#2344	C₂	1	2	yes	maximal, complemented
8	C₁₁×#2320	C₂	1	2	yes	maximal, complemented
9	C₁₁×#2319	C₂	1	2	yes	maximal, complemented
10	C₁₁×#2316	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2311	C₂	1	1	yes	maximal, characteristic
12	C₁₁×#2297	C₂	1	1	yes	maximal, characteristic
13	C₁₁×#2295	C₂	1	2	yes	maximal, complemented
14	C₁₁×#2293	C₂	1	2	yes	maximal, complemented
15	C₂×C₁₁×#389	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2274	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×C₁₁×#117	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic
19	C₁₁×#520	C₄	1	16	yes	complemented
20	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	—
21	C₂×C₄×D₄×C₁₁	C₂²	1	4	yes	—
22	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	—
23	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
24	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×#117	C₂²	1	4	yes	—
26	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
27	C₂×C₁₁×#117	C₂²	1	2	yes	—
28	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
29	C₂²×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
30	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
31	C₂²×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
32	C₂²×C₄²×C₁₁	C₂²	1	1	yes	characteristic
33	C₁₁×#391	C₂²	1	1	yes	characteristic
34	C₁₁×#391	C₂²	1	2	yes	—
35	C₁₁×#391	C₂²	1	1	yes	characteristic
36	C₁₁×#390	C₂²	1	1	yes	characteristic
37	C₁₁×#390	C₂²	1	2	yes	—
38	C₁₁×#390	C₂²	1	1	yes	characteristic
39	C₁₁×#389	C₂²	1	2	yes	—
40	C₁₁×#389	C₂²	1	2	yes	—
41	C₁₁×#389	C₂²	1	2	yes	—
42	C₁₁×#389	C₂²	1	2	yes	—
43	C₁₁×#389	C₂²	1	2	yes	—
44	C₁₁×#389	C₂²	1	2	yes	—
45	C₁₁×#389	C₂²	1	2	yes	—
46	C₁₁×#389	C₂²	1	2	yes	—
47	C₁₁×#388	C₂²	1	4	yes	—
48	C₁₁×#388	C₂²	1	4	yes	—
49	C₁₁×#388	C₂²	1	4	yes	—
50	C₁₁×#388	C₂²	1	4	yes	—
51	C₁₁×#387	C₂²	1	4	yes	—
52	C₁₁×#387	C₂²	1	4	yes	—
53	C₁₁×#387	C₂²	1	4	yes	—
54	C₁₁×#387	C₂²	1	4	yes	—
55	C₁₁×#386	C₂²	1	2	yes	—
56	C₁₁×#386	C₂²	1	2	yes	—
57	C₁₁×#386	C₂²	1	4	yes	—
58	C₁₁×#383	C₂²	1	4	yes	—
59	C₁₁×#382	C₂²	1	4	yes	—
60	C₁₁×#381	C₂²	1	4	yes	—
61	C₁₁×#380	C₂²	1	2	yes	—
62	C₁₁×#380	C₂²	1	2	yes	—
63	C₁₁×#380	C₂²	1	4	yes	—
64	C₁₁×#380	C₂²	1	4	yes	—
65	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
66	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
67	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
68	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
69	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
70	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
71	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
72	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
73	C₄×C₁₁×C₄⋊C₄	C₂²	1	4	yes	—
74	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
75	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
76	C₄×C₁₁×C₂²⋊C₄	C₂²	1	4	yes	—
77	C₄×C₁₁×C₂²⋊C₄	C₂²	1	4	yes	—
78	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
79	C₄×C₁₁×C₂²⋊C₄	C₂²	1	2	yes	—
80	C₁₁×#376	C₂²	1	2	yes	—
81	C₁₁×#376	C₂²	1	4	yes	—
82	C₂×C₁₁×#95	C₂²	1	2	yes	—
83	C₄³×C₁₁	C₂²	1	2	yes	—
84	C₂×C₁₁×#41	—	2	4	no	—
85	C₂×C₁₁×#41	—	2	4	no	—
86	C₂×C₁₁×#41	C₂×C₄	1	8	yes	—
87	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
88	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
89	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
90	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
91	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
92	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
93	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
94	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
95	C₂³×C₄×C₁₁	C₂³	1	4	yes	—
96	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
97	C₄×Q₈×C₁₁	C₂×C₄	1	16	yes	complemented
98	C₄×D₄×C₁₁	C₂×C₄	1	32	yes	—
99	C₄×D₄×C₁₁	C₂×C₄	1	16	yes	complemented
100	C₁₁×#117	—	2	4	no	—
101	C₁₁×#117	—	2	4	no	—
102	C₁₁×#117	—	4	8	no	—
103	C₁₁×#117	C₂×C₄	1	8	yes	—
104	C₁₁×#117	C₂×C₄	1	16	yes	complemented
105	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
106	C₂×C₁₁×C₄⋊C₄	—	4	4	no	—
107	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	8	yes	—
108	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	16	yes	complemented
109	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
110	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
111	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
112	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
113	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
114	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
115	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
116	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
117	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
118	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
119	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
120	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
121	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
122	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
123	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
124	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
125	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
126	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
127	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
128	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
129	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
130	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
131	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
132	C₂×C₁₁×C₂²⋊C₄	C₂³	1	2	yes	—
133	C₂×C₁₁×C₂²⋊C₄	C₂³	1	4	yes	—
134	C₂×C₄²×C₁₁	—	2	4	no	—
135	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
136	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
137	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
138	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
139	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
140	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
141	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
142	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
143	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
144	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
145	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
146	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
147	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
148	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
149	C₁₁×#95	C₂³	1	4	yes	—
150	C₁₁×#95	C₂³	1	4	yes	—
151	C₁₁×#95	C₂³	1	2	yes	—
152	C₁₁×#95	C₂³	1	2	yes	—
153	C₁₁×#95	C₂³	1	2	yes	—
154	C₁₁×#95	C₂³	1	2	yes	—
155	C₁₁×#95	C₂³	1	2	yes	—
156	C₁₁×#95	C₂³	1	4	yes	—
157	C₁₁×#95	C₂³	1	4	yes	—
158	C₁₁×#95	C₂³	1	4	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	2	yes	—
164	C₁₁×#95	C₂³	1	4	yes	—
165	#34253	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
166	C₂⁴×C₁₁	C₂⁴	1	2	yes	—
167	C₂⁴×C₁₁	C₂⁴	1	1	yes	characteristic
168	C₁₁×#41	—	2	32	no	—
169	C₂×Q₈×C₁₁	—	2	2	no	—
170	C₂×Q₈×C₁₁	—	2	2	no	—
171	C₂×Q₈×C₁₁	C₂²×C₄	1	4	yes	—
172	C₂×D₄×C₁₁	—	2	4	no	—
173	C₂×D₄×C₁₁	—	2	4	no	—
174	C₂×D₄×C₁₁	—	2	2	no	—
175	C₂×D₄×C₁₁	—	2	2	no	—
176	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
177	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	—
178	C₂²×C₄×C₁₁	—	2	4	no	—
179	C₂²×C₄×C₁₁	—	2	4	no	—
180	C₂²×C₄×C₁₁	—	2	2	no	—
181	C₂²×C₄×C₁₁	—	2	2	no	—
182	C₂²×C₄×C₁₁	—	2	4	no	—
183	C₂²×C₄×C₁₁	—	2	2	no	—
184	C₂²×C₄×C₁₁	—	2	2	no	—
185	C₂²×C₄×C₁₁	—	4	2	no	—
186	C₂²×C₄×C₁₁	—	4	4	no	—
187	C₂²×C₄×C₁₁	—	4	1	no	—
188	C₂²×C₄×C₁₁	—	4	1	no	—
189	C₂²×C₄×C₁₁	—	4	4	no	—
190	C₂²×C₄×C₁₁	—	4	2	no	—
191	C₂²×C₄×C₁₁	—	4	2	no	—
192	C₂²×C₄×C₁₁	—	4	2	no	—
193	C₂²×C₄×C₁₁	C₂²×C₄	1	8	yes	—
194	C₂²×C₄×C₁₁	C₂²×C₄	1	8	yes	—
195	C₂²×C₄×C₁₁	C₂²×C₄	1	16	yes	—
196	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
197	C₂²×C₄×C₁₁	#41	1	4	yes	—
198	C₂²×C₄×C₁₁	#41	1	4	yes	—
199	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
200	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
201	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
202	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
203	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
204	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
205	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
206	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
207	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
208	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
209	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
210	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
211	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
212	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
213	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
214	C₁₁×C₄⋊C₄	—	2	4	no	—
215	C₁₁×C₄⋊C₄	—	2	4	no	—
216	C₁₁×C₄⋊C₄	—	2	2	no	—
217	C₁₁×C₄⋊C₄	—	2	2	no	—
218	C₁₁×C₄⋊C₄	—	2	2	no	—
219	C₁₁×C₄⋊C₄	—	2	2	no	—
220	C₁₁×C₄⋊C₄	—	2	8	no	—
221	C₁₁×C₄⋊C₄	—	4	4	no	—
222	C₁₁×C₄⋊C₄	—	4	4	no	—
223	C₁₁×C₄⋊C₄	—	4	4	no	—
224	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
225	C₁₁×C₄⋊C₄	C₂²×C₄	1	8	yes	—
226	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
227	C₁₁×C₄⋊C₄	C₂²×C₄	1	16	yes	—
228	C₁₁×C₄⋊C₄	C₂²×C₄	1	4	yes	—
229	C₁₁×C₂²⋊C₄	—	2	4	no	—
230	C₁₁×C₂²⋊C₄	—	2	4	no	—
231	C₁₁×C₂²⋊C₄	—	2	4	no	—
232	C₁₁×C₂²⋊C₄	—	2	4	no	—
233	C₁₁×C₂²⋊C₄	—	4	2	no	—
234	C₁₁×C₂²⋊C₄	—	4	4	no	—
235	C₁₁×C₂²⋊C₄	—	4	2	no	—
236	C₁₁×C₂²⋊C₄	—	4	4	no	—
237	C₁₁×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
238	C₁₁×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
239	C₄²×C₁₁	—	2	2	no	—
240	C₄²×C₁₁	—	2	2	no	—
241	C₄²×C₁₁	—	2	2	no	—
242	C₄²×C₁₁	—	2	2	no	—
243	C₄²×C₁₁	—	2	4	no	—
244	C₄²×C₁₁	—	2	4	no	—
245	C₄²×C₁₁	—	2	4	no	—
246	C₄²×C₁₁	—	2	4	no	—
247	C₄²×C₁₁	—	4	2	no	—
248	C₄²×C₁₁	—	4	4	no	—
249	C₄²×C₁₁	—	4	2	no	—
250	C₄²×C₁₁	—	4	4	no	—
251	C₄²×C₁₁	C₂²×C₄	1	8	yes	—
252	C₄²×C₁₁	C₂²×C₄	1	16	yes	—
253	C₂×#520	C₂×C₁₁	1	1	yes	characteristic
254	#2353	C₂×C₁₁	1	4	yes	complemented
255	#2352	C₂×C₁₁	1	4	yes	complemented
256	#2347	C₂×C₁₁	1	2	yes	complemented
257	#2346	C₂×C₁₁	1	2	yes	complemented
258	#2345	C₂×C₁₁	1	2	yes	complemented
259	#2344	C₂×C₁₁	1	2	yes	complemented
260	#2320	C₂×C₁₁	1	2	yes	complemented
261	#2319	C₂×C₁₁	1	2	yes	complemented
262	#2316	C₂×C₁₁	1	1	yes	characteristic, complemented
263	#2311	C₂×C₁₁	1	1	yes	characteristic
264	#2297	C₂×C₁₁	1	1	yes	characteristic
265	#2295	C₂×C₁₁	1	2	yes	complemented
266	#2293	C₂×C₁₁	1	2	yes	complemented
267	C₂×#389	C₂×C₁₁	1	1	yes	characteristic, complemented
268	#2274	C₂×C₁₁	1	1	yes	characteristic, complemented
269	C₄×#117	C₂×C₁₁	1	1	yes	characteristic, complemented
270	C₂³×C₁₁	—	2	1	no	—
271	C₂³×C₁₁	—	2	1	no	—
272	C₂³×C₁₁	—	2	1	no	—
273	C₂³×C₁₁	—	2	1	no	—
274	C₂³×C₁₁	—	2	2	no	—
275	C₂³×C₁₁	—	2	2	no	—
276	C₂³×C₁₁	—	2	2	no	—
277	C₂³×C₁₁	—	2	2	no	—
278	C₂³×C₁₁	—	2	2	no	—
279	C₂³×C₁₁	—	2	2	no	—
280	C₂³×C₁₁	C₂³×C₄	1	4	yes	—
281	C₂³×C₁₁	C₂³×C₄	1	2	yes	—
282	C₂³×C₁₁	C₂×#41	1	2	yes	—
283	C₂³×C₁₁	C₂×#41	1	2	yes	—
284	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
285	Q₈×C₁₁	—	2	8	no	—
286	D₄×C₁₁	—	2	16	no	—
287	D₄×C₁₁	—	2	8	no	—
288	C₂×C₄×C₁₁	—	2	1	no	—
289	C₂×C₄×C₁₁	—	2	1	no	—
290	C₂×C₄×C₁₁	—	2	2	no	—
291	C₂×C₄×C₁₁	—	2	2	no	—
292	C₂×C₄×C₁₁	—	2	2	no	—
293	C₂×C₄×C₁₁	—	2	4	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	1	no	—
298	C₂×C₄×C₁₁	—	2	2	no	—
299	C₂×C₄×C₁₁	—	2	4	no	—
300	C₂×C₄×C₁₁	—	2	16	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	2	no	—
305	C₂×C₄×C₁₁	—	2	2	no	—
306	C₂×C₄×C₁₁	—	2	2	no	—
307	C₂×C₄×C₁₁	—	2	4	no	—
308	C₂×C₄×C₁₁	—	2	2	no	—
309	C₂×C₄×C₁₁	—	2	2	no	—
310	C₂×C₄×C₁₁	—	2	4	no	—
311	C₂×C₄×C₁₁	—	2	1	no	—
312	C₂×C₄×C₁₁	—	2	2	no	—
313	C₂×C₄×C₁₁	—	2	2	no	—
314	C₂×C₄×C₁₁	—	2	1	no	—
315	C₂×C₄×C₁₁	—	2	2	no	—
316	C₂×C₄×C₁₁	—	2	2	no	—
317	C₂×C₄×C₁₁	—	2	4	no	—
318	C₂×C₄×C₁₁	—	2	2	no	—
319	C₂×C₄×C₁₁	—	2	1	no	—
320	C₂×C₄×C₁₁	—	2	1	no	—
321	C₂×C₄×C₁₁	—	2	2	no	—
322	C₂×C₄×C₁₁	—	4	8	no	—
323	C₂×C₄×C₁₁	—	4	16	no	—
324	C₂×C₄×C₁₁	—	4	4	no	—
325	C₂×C₄×C₁₁	—	4	4	no	—
326	C₂×C₄×C₁₁	—	8	4	no	—
327	C₂×C₄×C₁₁	#117	1	16	yes	complemented
328	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
329	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
330	C₂×C₄×C₁₁	C₂³×C₄	1	4	yes	—
331	C₂×C₄×C₁₁	C₂³×C₄	1	8	yes	—
332	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
333	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
334	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
335	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
336	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
337	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
338	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
339	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
340	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic
341	#520	C₄×C₁₁	1	16	yes	complemented
342	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	—
343	C₂×C₄×D₄	C₂²×C₁₁	1	4	yes	—
344	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	—
345	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
346	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
347	C₂×#117	C₂²×C₁₁	1	4	yes	—
348	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
349	C₂×#117	C₂²×C₁₁	1	2	yes	—
350	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
351	C₂²×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
352	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
353	C₂²×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
354	C₂²×C₄²	C₂²×C₁₁	1	1	yes	characteristic
355	#391	C₂²×C₁₁	1	2	yes	—
356	#391	C₂²×C₁₁	1	1	yes	characteristic
357	#391	C₂²×C₁₁	1	1	yes	characteristic
358	#390	C₂²×C₁₁	1	2	yes	—
359	#390	C₂²×C₁₁	1	1	yes	characteristic
360	#390	C₂²×C₁₁	1	1	yes	characteristic
361	#389	C₂²×C₁₁	1	2	yes	—
362	#389	C₂²×C₁₁	1	2	yes	—
363	#389	C₂²×C₁₁	1	2	yes	—
364	#389	C₂²×C₁₁	1	2	yes	—
365	#389	C₂²×C₁₁	1	2	yes	—
366	#389	C₂²×C₁₁	1	2	yes	—
367	#389	C₂²×C₁₁	1	2	yes	—
368	#389	C₂²×C₁₁	1	2	yes	—
369	#388	C₂²×C₁₁	1	4	yes	—
370	#388	C₂²×C₁₁	1	4	yes	—
371	#388	C₂²×C₁₁	1	4	yes	—
372	#388	C₂²×C₁₁	1	4	yes	—
373	#387	C₂²×C₁₁	1	4	yes	—
374	#387	C₂²×C₁₁	1	4	yes	—
375	#387	C₂²×C₁₁	1	4	yes	—
376	#387	C₂²×C₁₁	1	4	yes	—
377	#386	C₂²×C₁₁	1	4	yes	—
378	#386	C₂²×C₁₁	1	2	yes	—
379	#386	C₂²×C₁₁	1	2	yes	—
380	#383	C₂²×C₁₁	1	4	yes	—
381	#382	C₂²×C₁₁	1	4	yes	—
382	#381	C₂²×C₁₁	1	4	yes	—
383	#380	C₂²×C₁₁	1	2	yes	—
384	#380	C₂²×C₁₁	1	2	yes	—
385	#380	C₂²×C₁₁	1	4	yes	—
386	#380	C₂²×C₁₁	1	4	yes	—
387	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
388	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
389	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
390	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
391	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
392	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
393	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
394	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
395	C₄×C₄⋊C₄	C₂²×C₁₁	1	4	yes	—
396	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
397	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
398	C₄×C₂²⋊C₄	C₂²×C₁₁	1	4	yes	—
399	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
400	C₄×C₂²⋊C₄	C₂²×C₁₁	1	4	yes	—
401	C₄×C₂²⋊C₄	C₂²×C₁₁	1	2	yes	—
402	#376	C₂²×C₁₁	1	2	yes	—
403	#376	C₂²×C₁₁	1	4	yes	—
404	C₂×#95	C₂²×C₁₁	1	2	yes	—
405	C₄³	C₂²×C₁₁	1	2	yes	—
406	C₂²×C₁₁	—	2	2	no	—
407	C₂²×C₁₁	—	2	2	no	—
408	C₂²×C₁₁	—	2	2	no	—
409	C₂²×C₁₁	—	2	2	no	—
410	C₂²×C₁₁	—	2	2	no	—
411	C₂²×C₁₁	—	2	2	no	—
412	C₂²×C₁₁	—	2	4	no	—
413	C₂²×C₁₁	—	2	4	no	—
414	C₂²×C₁₁	—	2	4	no	—
415	C₂²×C₁₁	—	4	2	no	—
416	C₂²×C₁₁	—	4	2	no	—
417	C₂²×C₁₁	—	4	2	no	—
418	C₂²×C₁₁	—	4	2	no	—
419	C₂²×C₁₁	C₂×#117	1	4	yes	—
420	C₂²×C₁₁	C₂⁴×C₄	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×H(5,𝔽₂)	1	1	yes	characteristic
424	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
425	C₂²×C₁₁	#585	1	1	yes	characteristic
426	C₂²×C₁₁	#585	1	1	yes	characteristic
427	C₄×C₁₁	—	2	4	no	—
428	C₄×C₁₁	—	2	4	no	—
429	C₄×C₁₁	—	2	8	no	—
430	C₄×C₁₁	—	2	4	no	—
431	C₄×C₁₁	—	2	2	no	—
432	C₄×C₁₁	—	2	2	no	—
433	C₄×C₁₁	—	4	1	no	—
434	C₄×C₁₁	—	4	4	no	—
435	C₄×C₁₁	—	4	1	no	—
436	C₄×C₁₁	—	4	2	no	—
437	C₄×C₁₁	—	4	2	no	—
438	C₄×C₁₁	—	4	2	no	—
439	C₄×C₁₁	—	4	2	no	—
440	C₄×C₁₁	C₂×#117	1	4	yes	—
441	C₄×C₁₁	C₂×#117	1	4	yes	—
442	C₂×#41	—	2	4	no	—
443	C₂×#41	—	2	4	no	—
444	C₂×#41	C₂×C₄×C₁₁	1	8	yes	—
445	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
446	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
447	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
448	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
449	C₂³×C₄	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	2	yes	—
453	C₂³×C₄	C₂³×C₁₁	1	4	yes	—
454	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
455	C₄×Q₈	C₂×C₄×C₁₁	1	16	yes	complemented
456	C₄×D₄	C₂×C₄×C₁₁	1	32	yes	—
457	C₄×D₄	C₂×C₄×C₁₁	1	16	yes	complemented
458	#117	—	2	4	no	—
459	#117	—	2	4	no	—
460	#117	—	4	8	no	—
461	#117	C₂×C₄×C₁₁	1	8	yes	—
462	#117	C₂×C₄×C₁₁	1	16	yes	complemented
463	C₂×C₄⋊C₄	—	2	4	no	—
464	C₂×C₄⋊C₄	—	4	4	no	—
465	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	8	yes	—
466	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	16	yes	complemented
467	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
468	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
469	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
470	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
471	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
472	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
473	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
474	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
475	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
476	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
477	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
478	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
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	1	yes	characteristic
482	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
483	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
484	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
485	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
486	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
487	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
488	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
489	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
490	C₂×C₂²⋊C₄	C₂³×C₁₁	1	2	yes	—
491	C₂×C₂²⋊C₄	C₂³×C₁₁	1	4	yes	—
492	C₂×C₄²	—	2	4	no	—
493	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
494	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
495	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
496	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
497	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
498	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
499	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
500	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
501	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
502	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
503	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
504	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
505	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
506	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
507	#95	C₂³×C₁₁	1	4	yes	—
508	#95	C₂³×C₁₁	1	4	yes	—
509	#95	C₂³×C₁₁	1	2	yes	—
510	#95	C₂³×C₁₁	1	2	yes	—
511	#95	C₂³×C₁₁	1	2	yes	—
512	#95	C₂³×C₁₁	1	2	yes	—
513	#95	C₂³×C₁₁	1	2	yes	—
514	#95	C₂³×C₁₁	1	4	yes	—
515	#95	C₂³×C₁₁	1	4	yes	—
516	#95	C₂³×C₁₁	1	4	yes	—
517	#95	C₂³×C₁₁	1	4	yes	—
518	#95	C₂³×C₁₁	1	2	yes	—
519	#95	C₂³×C₁₁	1	4	yes	—
520	#95	C₂³×C₁₁	1	2	yes	—
521	#95	C₂³×C₁₁	1	2	yes	—
522	#95	C₂³×C₁₁	1	4	yes	—
523	C₂×C₁₁	—	2	4	no	—
524	C₂×C₁₁	—	4	4	no	—
525	C₂×C₁₁	C₂²×#117	1	1	yes	characteristic
526	C₂×C₁₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
527	C₂×C₁₁	C₄×2₋¹⁺⁴	1	1	yes	characteristic
528	C₂×C₁₁	#3494	1	1	yes	characteristic
529	C₂×C₁₁	#3495	1	1	yes	characteristic
530	C₂×C₁₁	#3511	1	1	yes	characteristic
531	C₂×C₁₁	#3512	1	1	yes	characteristic
532	C₂⁴	C₂⁴×C₁₁	1	2	yes	—
533	C₂⁴	C₂⁴×C₁₁	1	1	yes	characteristic
534	#41	—	2	32	no	—
535	C₂×Q₈	—	2	2	no	—
536	C₂×Q₈	—	2	2	no	—
537	C₂×Q₈	C₂²×C₄×C₁₁	1	4	yes	—
538	C₂×D₄	—	2	4	no	—
539	C₂×D₄	—	2	4	no	—
540	C₂×D₄	—	2	2	no	—
541	C₂×D₄	—	2	2	no	—
542	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
543	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	—
544	C₂²×C₄	—	2	4	no	—
545	C₂²×C₄	—	2	4	no	—
546	C₂²×C₄	—	2	2	no	—
547	C₂²×C₄	—	2	2	no	—
548	C₂²×C₄	—	2	4	no	—
549	C₂²×C₄	—	2	2	no	—
550	C₂²×C₄	—	2	2	no	—
551	C₂²×C₄	—	4	2	no	—
552	C₂²×C₄	—	4	4	no	—
553	C₂²×C₄	—	4	1	no	—
554	C₂²×C₄	—	4	1	no	—
555	C₂²×C₄	—	4	4	no	—
556	C₂²×C₄	—	4	2	no	—
557	C₂²×C₄	—	4	2	no	—
558	C₂²×C₄	—	4	2	no	—
559	C₂²×C₄	C₂²×C₄×C₁₁	1	8	yes	—
560	C₂²×C₄	C₂²×C₄×C₁₁	1	8	yes	—
561	C₂²×C₄	C₂²×C₄×C₁₁	1	16	yes	—
562	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
563	C₂²×C₄	C₁₁×#41	1	4	yes	—
564	C₂²×C₄	C₁₁×#41	1	4	yes	—
565	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
566	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
567	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
568	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
569	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
570	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
571	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
572	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
573	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
574	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
575	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
576	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
577	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
578	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
579	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
580	C₄⋊C₄	—	2	4	no	—
581	C₄⋊C₄	—	2	4	no	—
582	C₄⋊C₄	—	2	2	no	—
583	C₄⋊C₄	—	2	2	no	—
584	C₄⋊C₄	—	2	2	no	—
585	C₄⋊C₄	—	2	2	no	—
586	C₄⋊C₄	—	2	8	no	—
587	C₄⋊C₄	—	4	4	no	—
588	C₄⋊C₄	—	4	4	no	—
589	C₄⋊C₄	—	4	4	no	—
590	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
591	C₄⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
592	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
593	C₄⋊C₄	C₂²×C₄×C₁₁	1	16	yes	—
594	C₄⋊C₄	C₂²×C₄×C₁₁	1	4	yes	—
595	C₂²⋊C₄	—	2	4	no	—
596	C₂²⋊C₄	—	2	4	no	—
597	C₂²⋊C₄	—	2	4	no	—
598	C₂²⋊C₄	—	2	4	no	—
599	C₂²⋊C₄	—	4	4	no	—
600	C₂²⋊C₄	—	4	2	no	—
601	C₂²⋊C₄	—	4	4	no	—
602	C₂²⋊C₄	—	4	2	no	—
603	C₂²⋊C₄	C₂²×C₄×C₁₁	1	8	yes	—
604	C₂²⋊C₄	C₂²×C₄×C₁₁	1	16	yes	—
605	C₄²	—	2	2	no	—
606	C₄²	—	2	2	no	—
607	C₄²	—	2	2	no	—
608	C₄²	—	2	2	no	—
609	C₄²	—	2	4	no	—
610	C₄²	—	2	4	no	—
611	C₄²	—	2	4	no	—
612	C₄²	—	2	4	no	—
613	C₄²	—	4	4	no	—
614	C₄²	—	4	2	no	—
615	C₄²	—	4	4	no	—
616	C₄²	—	4	2	no	—
617	C₄²	C₂²×C₄×C₁₁	1	8	yes	—
618	C₄²	C₂²×C₄×C₁₁	1	16	yes	—
619	C₁₁	#34253	1	1	yes	characteristic, direct product factor, Sylow
620	C₂³	—	2	1	no	—
621	C₂³	—	2	1	no	—
622	C₂³	—	2	1	no	—
623	C₂³	—	2	1	no	—
624	C₂³	—	2	2	no	—
625	C₂³	—	2	2	no	—
626	C₂³	—	2	2	no	—
627	C₂³	—	2	2	no	—
628	C₂³	—	2	2	no	—
629	C₂³	—	2	2	no	—
630	C₂³	C₂³×C₄×C₁₁	1	4	yes	—
631	C₂³	C₂³×C₄×C₁₁	1	2	yes	—
632	C₂³	C₂×C₁₁×#41	1	2	yes	—
633	C₂³	C₂×C₁₁×#41	1	2	yes	—
634	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
635	Q₈	—	2	8	no	—
636	D₄	—	2	16	no	—
637	D₄	—	2	8	no	—
638	C₂×C₄	—	2	1	no	—
639	C₂×C₄	—	2	1	no	—
640	C₂×C₄	—	2	2	no	—
641	C₂×C₄	—	2	2	no	—
642	C₂×C₄	—	2	2	no	—
643	C₂×C₄	—	2	4	no	—
644	C₂×C₄	—	2	2	no	—
645	C₂×C₄	—	2	2	no	—
646	C₂×C₄	—	2	1	no	—
647	C₂×C₄	—	2	1	no	—
648	C₂×C₄	—	2	2	no	—
649	C₂×C₄	—	2	4	no	—
650	C₂×C₄	—	2	16	no	—
651	C₂×C₄	—	2	1	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	2	no	—
657	C₂×C₄	—	2	4	no	—
658	C₂×C₄	—	2	2	no	—
659	C₂×C₄	—	2	2	no	—
660	C₂×C₄	—	2	4	no	—
661	C₂×C₄	—	2	1	no	—
662	C₂×C₄	—	2	2	no	—
663	C₂×C₄	—	2	2	no	—
664	C₂×C₄	—	2	1	no	—
665	C₂×C₄	—	2	2	no	—
666	C₂×C₄	—	2	2	no	—
667	C₂×C₄	—	2	4	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	1	no	—
670	C₂×C₄	—	2	1	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	4	8	no	—
673	C₂×C₄	—	4	16	no	—
674	C₂×C₄	—	4	4	no	—
675	C₂×C₄	—	4	4	no	—
676	C₂×C₄	—	8	4	no	—
677	C₂×C₄	C₁₁×#117	1	16	yes	complemented
678	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
679	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
680	C₂×C₄	C₂³×C₄×C₁₁	1	4	yes	—
681	C₂×C₄	C₂³×C₄×C₁₁	1	8	yes	—
682	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
683	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
684	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
685	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
686	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
687	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
688	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
689	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
690	C₂²	—	2	2	no	—
691	C₂²	—	2	2	no	—
692	C₂²	—	2	2	no	—
693	C₂²	—	2	2	no	—
694	C₂²	—	2	2	no	—
695	C₂²	—	2	2	no	—
696	C₂²	—	2	4	no	—
697	C₂²	—	2	4	no	—
698	C₂²	—	2	4	no	—
699	C₂²	—	4	2	no	—
700	C₂²	—	4	2	no	—
701	C₂²	—	4	2	no	—
702	C₂²	—	4	2	no	—
703	C₂²	C₂×C₁₁×#117	1	4	yes	—
704	C₂²	C₂⁴×C₄×C₁₁	1	1	yes	characteristic
705	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
706	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
707	C₂²	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
708	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
709	C₂²	C₁₁×#585	1	1	yes	characteristic
710	C₂²	C₁₁×#585	1	1	yes	characteristic
711	C₄	—	2	4	no	—
712	C₄	—	2	4	no	—
713	C₄	—	2	8	no	—
714	C₄	—	2	4	no	—
715	C₄	—	2	2	no	—
716	C₄	—	2	2	no	—
717	C₄	—	4	1	no	—
718	C₄	—	4	4	no	—
719	C₄	—	4	1	no	—
720	C₄	—	4	2	no	—
721	C₄	—	4	2	no	—
722	C₄	—	4	2	no	—
723	C₄	—	4	2	no	—
724	C₄	C₂×C₁₁×#117	1	4	yes	—
725	C₄	C₂×C₁₁×#117	1	4	yes	—
726	C₂	—	2	4	no	—
727	C₂	—	4	4	no	—
728	C₂	C₂²×C₁₁×#117	1	1	yes	characteristic
729	C₂	C₄×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
730	C₂	C₄×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
731	C₂	C₁₁×#3494	1	1	yes	characteristic
732	C₂	C₁₁×#3495	1	1	yes	characteristic
733	C₂	C₁₁×#3511	1	1	yes	characteristic
734	C₂	C₁₁×#3512	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₁	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₁
Frattini, cosocle	C₂³	C₂⁵×C₁₁
prime radical	C₂²×C₁₁×#41	C₂²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₁×#2353	C₂	semidirect
3. C₁₁×#2352	C₂	semidirect
4. C₁₁×#2347	C₂	semidirect
5. C₁₁×#2346	C₂	semidirect
6. C₁₁×#2345	C₂	semidirect
7. C₁₁×#2344	C₂	semidirect
8. C₁₁×#2320	C₂	semidirect
9. C₁₁×#2319	C₂	semidirect
10. C₁₁×#2316	C₂	semidirect
13. C₁₁×#2295	C₂	semidirect
14. C₁₁×#2293	C₂	semidirect
15. C₂×C₁₁×#389	C₂	semidirect
16. C₁₁×#2274	C₂	semidirect
17. C₄×C₁₁×#117	C₂	semidirect
19. C₁₁×#520	C₄	semidirect
97. C₄×Q₈×C₁₁	C₂×C₄	semidirect
99. C₄×D₄×C₁₁	C₂×C₄	semidirect
104. C₁₁×#117	C₂×C₄	semidirect
108. C₂×C₁₁×C₄⋊C₄	C₂×C₄	semidirect
165. #34253	C₁₁	direct (N × H)
254. #2353	C₂×C₁₁	semidirect
255. #2352	C₂×C₁₁	semidirect
256. #2347	C₂×C₁₁	semidirect
257. #2346	C₂×C₁₁	semidirect
258. #2345	C₂×C₁₁	semidirect
259. #2344	C₂×C₁₁	semidirect
260. #2320	C₂×C₁₁	semidirect
261. #2319	C₂×C₁₁	semidirect
262. #2316	C₂×C₁₁	semidirect
265. #2295	C₂×C₁₁	semidirect
266. #2293	C₂×C₁₁	semidirect
267. C₂×#389	C₂×C₁₁	semidirect
268. #2274	C₂×C₁₁	semidirect
269. C₄×#117	C₂×C₁₁	semidirect
327. C₂×C₄×C₁₁	#117	semidirect
341. #520	C₄×C₁₁	semidirect
455. C₄×Q₈	C₂×C₄×C₁₁	semidirect
457. C₄×D₄	C₂×C₄×C₁₁	semidirect
462. #117	C₂×C₄×C₁₁	semidirect
466. C₂×C₄⋊C₄	C₂×C₄×C₁₁	semidirect
619. C₁₁	#34253	direct (N × H)
677. C₂×C₄	C₁₁×#117	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₁×#520	2
C₁₁×#2353	2
C₁₁×#2352	2
C₁₁×#2347	2
C₁₁×#2346	2
C₁₁×#2345	2
C₁₁×#2344	2
C₁₁×#2320	2
C₁₁×#2319	2
C₁₁×#2316	2
C₁₁×#2311	2
C₁₁×#2297	2
C₁₁×#2295	2
C₁₁×#2293	2
C₂×C₁₁×#389	2
C₁₁×#2274	2
C₄×C₁₁×#117	2
#34253	11

Subgroups — C11×#34253 #14611446

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#34253 #14611446