Subgroups — C₁₁×#59927 #14637120

Order 2816.

1496 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#2806	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#2805	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#2734	C₂	1	1	yes	maximal, characteristic
4	C₁₁×#2726	C₂	1	1	yes	maximal, characteristic
5	C₁₁×#2612	C₂	1	2	yes	maximal
6	C₁₁×#2590	C₂	1	2	yes	maximal
7	C₁₁×#2588	C₂	1	2	yes	maximal
8	C₁₁×#2588	C₂	1	2	yes	maximal
9	C₁₁×#2586	C₂	1	2	yes	maximal
10	C₁₁×#2585	C₂	1	2	yes	maximal
11	C₁₁×#2585	C₂	1	2	yes	maximal
12	C₁₁×#2462	C₂	1	2	yes	maximal
13	C₁₁×#2446	C₂	1	2	yes	maximal
14	C₁₁×#2371	C₂	1	2	yes	maximal
15	C₁₁×#2370	C₂	1	2	yes	maximal
16	C₁₁×#2369	C₂	1	2	yes	maximal
17	C₄×C₁₁×#125	C₂	1	1	yes	maximal, characteristic
18	C₁₁×#2295	C₂	1	1	yes	maximal, characteristic
19	C₁₁×#2295	C₂	1	1	yes	maximal, characteristic
20	C₂×C₁₁×C₄⋊Q₈	C₂²	1	2	yes	—
21	C₂×C₁₁×#125	C₂²	1	2	yes	—
22	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic
23	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
24	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
25	C₁₁×#400	C₂²	1	2	yes	—
26	C₁₁×#400	C₂²	1	2	yes	—
27	C₁₁×#400	C₂²	1	2	yes	—
28	C₁₁×#400	C₂²	1	2	yes	—
29	C₁₁×#398	C₂²	1	2	yes	—
30	C₁₁×#398	C₂²	1	2	yes	—
31	C₁₁×#398	C₂²	1	2	yes	—
32	C₁₁×#398	C₂²	1	2	yes	—
33	C₁₁×#398	C₂²	1	2	yes	—
34	C₁₁×#398	C₂²	1	2	yes	—
35	C₁₁×#398	C₂²	1	2	yes	—
36	C₁₁×#398	C₂²	1	2	yes	—
37	C₁₁×#395	C₂²	1	2	yes	—
38	C₁₁×#395	C₂²	1	2	yes	—
39	C₁₁×#395	C₂²	1	2	yes	—
40	C₁₁×#395	C₂²	1	2	yes	—
41	C₁₁×#391	C₂²	1	2	yes	—
42	C₁₁×#391	C₂²	1	2	yes	—
43	C₁₁×#391	C₂²	1	2	yes	—
44	C₁₁×#391	C₂²	1	1	yes	characteristic
45	C₁₁×#391	C₂²	1	1	yes	characteristic
46	C₁₁×#391	C₂²	1	1	yes	characteristic
47	C₁₁×#391	C₂²	1	1	yes	characteristic
48	C₁₁×#391	C₂²	1	2	yes	—
49	C₁₁×#391	C₂²	1	2	yes	—
50	C₁₁×#389	C₂²	1	2	yes	—
51	C₁₁×#389	C₂²	1	2	yes	—
52	C₁₁×#389	C₂²	1	1	yes	characteristic
53	C₁₁×#389	C₂²	1	1	yes	characteristic
54	C₁₁×#389	C₂²	1	1	yes	characteristic
55	C₁₁×#389	C₂²	1	2	yes	—
56	C₁₁×#389	C₂²	1	1	yes	characteristic
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	1	yes	characteristic
61	C₁₁×#389	C₂²	1	2	yes	—
62	C₁₁×#389	C₂²	1	2	yes	—
63	C₁₁×#389	C₂²	1	2	yes	—
64	C₁₁×#389	C₂²	1	2	yes	—
65	C₁₁×#387	C₂²	1	2	yes	—
66	C₁₁×#387	C₂²	1	2	yes	—
67	C₁₁×#387	C₂²	1	2	yes	—
68	C₁₁×#387	C₂²	1	2	yes	—
69	C₁₁×#387	C₂²	1	2	yes	—
70	C₁₁×#387	C₂²	1	2	yes	—
71	C₁₁×#387	C₂²	1	2	yes	—
72	C₁₁×#387	C₂²	1	2	yes	—
73	C₁₁×#387	C₂²	1	2	yes	—
74	C₁₁×#387	C₂²	1	2	yes	—
75	C₁₁×#387	C₂²	1	2	yes	—
76	C₁₁×#387	C₂²	1	2	yes	—
77	C₁₁×#387	C₂²	1	2	yes	—
78	C₁₁×#387	C₂²	1	2	yes	—
79	C₁₁×#387	C₂²	1	2	yes	—
80	C₁₁×#387	C₂²	1	2	yes	—
81	C₁₁×#387	C₂²	1	2	yes	—
82	C₁₁×#387	C₂²	1	2	yes	—
83	C₁₁×#387	C₂²	1	2	yes	—
84	C₁₁×#387	C₂²	1	2	yes	—
85	C₁₁×#387	C₂²	1	2	yes	—
86	C₁₁×#387	C₂²	1	2	yes	—
87	C₁₁×#387	C₂²	1	2	yes	—
88	C₁₁×#387	C₂²	1	2	yes	—
89	C₁₁×#382	C₂²	1	1	yes	characteristic
90	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
91	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
92	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
93	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
94	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
95	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
96	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
97	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
98	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
99	C₄×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
100	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
101	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
102	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
103	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
104	C₁₁×#376	C₂²	1	2	yes	—
105	C₁₁×#376	C₂²	1	2	yes	—
106	C₄³×C₁₁	C₂²	1	1	yes	characteristic
107	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
108	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
109	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
110	C₁₁×C₄⋊Q₈	—	2	8	no	—
111	C₁₁×#125	—	2	8	no	—
112	C₁₁×#125	Q₈	1	8	yes	complemented
113	C₄×Q₈×C₁₁	—	2	4	no	—
114	C₄×Q₈×C₁₁	—	2	4	no	—
115	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
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	2	yes	—
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	2	yes	—
125	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
126	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
127	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
131	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
132	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
133	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
134	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
135	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
136	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
137	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
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	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	1	yes	characteristic
146	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
147	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
148	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
149	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
150	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
151	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
152	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
153	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
154	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
155	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
156	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
157	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
158	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
159	C₂×C₄²×C₁₁	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	2	yes	—
163	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
164	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
165	C₁₁×#95	C₂³	1	2	yes	—
166	C₁₁×#95	C₂³	1	2	yes	—
167	C₁₁×#95	C₂³	1	2	yes	—
168	C₁₁×#95	C₂³	1	2	yes	—
169	C₁₁×#95	C₂³	1	2	yes	—
170	C₁₁×#95	C₂³	1	2	yes	—
171	C₁₁×#95	C₂³	1	2	yes	—
172	C₁₁×#95	C₂³	1	2	yes	—
173	C₁₁×#95	C₂³	1	2	yes	—
174	C₁₁×#95	C₂³	1	2	yes	—
175	C₁₁×#95	C₂³	1	2	yes	—
176	C₁₁×#95	C₂³	1	2	yes	—
177	C₁₁×#95	C₂³	1	2	yes	—
178	C₁₁×#95	C₂³	1	2	yes	—
179	C₁₁×#95	C₂³	1	2	yes	—
180	C₁₁×#95	C₂³	1	2	yes	—
181	C₁₁×#95	C₂³	1	2	yes	—
182	C₁₁×#95	C₂³	1	2	yes	—
183	C₁₁×#95	C₂³	1	2	yes	—
184	C₁₁×#95	C₂³	1	2	yes	—
185	C₁₁×#95	C₂³	1	2	yes	—
186	C₁₁×#95	C₂³	1	2	yes	—
187	C₁₁×#95	C₂³	1	2	yes	—
188	C₁₁×#95	C₂³	1	2	yes	—
189	C₁₁×#95	C₂³	1	2	yes	—
190	C₁₁×#95	C₂³	1	2	yes	—
191	C₁₁×#95	C₂³	1	2	yes	—
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	#59927	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
200	C₂×Q₈×C₁₁	—	2	2	no	—
201	C₂×Q₈×C₁₁	—	2	4	no	—
202	C₂×Q₈×C₁₁	—	4	1	no	—
203	C₂×Q₈×C₁₁	—	4	1	no	—
204	C₂×Q₈×C₁₁	—	4	1	no	—
205	C₂×Q₈×C₁₁	—	4	1	no	—
206	C₂×Q₈×C₁₁	—	4	2	no	—
207	C₂×Q₈×C₁₁	—	4	2	no	—
208	C₂×Q₈×C₁₁	#41	1	4	yes	—
209	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
210	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
211	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
212	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
213	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
214	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
215	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
216	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
217	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
218	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
219	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
220	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
221	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
222	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
223	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
224	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
225	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
226	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
227	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
228	C₁₁×C₄⋊C₄	—	2	4	no	—
229	C₁₁×C₄⋊C₄	—	2	2	no	—
230	C₁₁×C₄⋊C₄	—	2	4	no	—
231	C₁₁×C₄⋊C₄	—	2	4	no	—
232	C₁₁×C₄⋊C₄	—	2	4	no	—
233	C₁₁×C₄⋊C₄	—	2	4	no	—
234	C₁₁×C₄⋊C₄	—	2	4	no	—
235	C₁₁×C₄⋊C₄	—	2	4	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	4	no	—
240	C₁₁×C₄⋊C₄	—	2	4	no	—
241	C₁₁×C₄⋊C₄	—	2	4	no	—
242	C₁₁×C₄⋊C₄	—	4	2	no	—
243	C₁₁×C₄⋊C₄	—	4	2	no	—
244	C₁₁×C₄⋊C₄	—	4	1	no	—
245	C₁₁×C₄⋊C₄	—	4	1	no	—
246	C₁₁×C₄⋊C₄	—	4	1	no	—
247	C₁₁×C₄⋊C₄	—	4	1	no	—
248	C₁₁×C₄⋊C₄	—	4	1	no	—
249	C₁₁×C₄⋊C₄	—	4	1	no	—
250	C₁₁×C₄⋊C₄	—	4	2	no	—
251	C₁₁×C₄⋊C₄	—	4	2	no	—
252	C₁₁×C₄⋊C₄	—	4	2	no	—
253	C₁₁×C₄⋊C₄	—	4	2	no	—
254	C₁₁×C₄⋊C₄	—	4	2	no	—
255	C₁₁×C₄⋊C₄	—	4	2	no	—
256	C₁₁×C₄⋊C₄	C₂×Q₈	1	8	yes	—
257	C₁₁×C₄⋊C₄	C₂×Q₈	1	8	yes	—
258	C₁₁×C₄⋊C₄	C₂×Q₈	1	4	yes	—
259	C₁₁×C₄⋊C₄	C₂×Q₈	1	4	yes	—
260	C₁₁×C₄⋊C₄	#41	1	4	yes	—
261	C₄²×C₁₁	—	2	4	no	—
262	C₄²×C₁₁	—	2	2	no	—
263	C₄²×C₁₁	—	2	2	no	—
264	C₄²×C₁₁	—	2	4	no	—
265	C₄²×C₁₁	—	2	4	no	—
266	C₄²×C₁₁	—	2	4	no	—
267	C₄²×C₁₁	—	2	2	no	—
268	C₄²×C₁₁	—	4	1	no	—
269	C₄²×C₁₁	—	4	1	no	—
270	C₄²×C₁₁	—	4	2	no	—
271	C₄²×C₁₁	—	4	2	no	—
272	C₄²×C₁₁	—	4	2	no	—
273	C₄²×C₁₁	—	4	2	no	—
274	C₄²×C₁₁	—	4	2	no	—
275	C₄²×C₁₁	—	4	2	no	—
276	C₄²×C₁₁	—	4	1	no	—
277	C₄²×C₁₁	C₂×Q₈	1	4	yes	—
278	#2806	C₂×C₁₁	1	1	yes	characteristic
279	#2805	C₂×C₁₁	1	1	yes	characteristic
280	#2734	C₂×C₁₁	1	1	yes	characteristic
281	#2726	C₂×C₁₁	1	1	yes	characteristic
282	#2612	C₂×C₁₁	1	2	yes	—
283	#2590	C₂×C₁₁	1	2	yes	—
284	#2588	C₂×C₁₁	1	2	yes	—
285	#2588	C₂×C₁₁	1	2	yes	—
286	#2586	C₂×C₁₁	1	2	yes	—
287	#2585	C₂×C₁₁	1	2	yes	—
288	#2585	C₂×C₁₁	1	2	yes	—
289	#2462	C₂×C₁₁	1	2	yes	—
290	#2446	C₂×C₁₁	1	2	yes	—
291	#2371	C₂×C₁₁	1	2	yes	—
292	#2370	C₂×C₁₁	1	2	yes	—
293	#2369	C₂×C₁₁	1	2	yes	—
294	C₄×#125	C₂×C₁₁	1	1	yes	characteristic
295	#2295	C₂×C₁₁	1	1	yes	characteristic
296	#2295	C₂×C₁₁	1	1	yes	characteristic
297	C₂³×C₁₁	C₂⁵	1	1	yes	characteristic
298	Q₈×C₁₁	—	4	4	no	—
299	Q₈×C₁₁	—	4	4	no	—
300	Q₈×C₁₁	—	8	4	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	1	no	—
307	C₂×C₄×C₁₁	—	2	2	no	—
308	C₂×C₄×C₁₁	—	2	1	no	—
309	C₂×C₄×C₁₁	—	2	1	no	—
310	C₂×C₄×C₁₁	—	2	1	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	1	no	—
316	C₂×C₄×C₁₁	—	2	1	no	—
317	C₂×C₄×C₁₁	—	2	1	no	—
318	C₂×C₄×C₁₁	—	2	1	no	—
319	C₂×C₄×C₁₁	—	2	2	no	—
320	C₂×C₄×C₁₁	—	2	2	no	—
321	C₂×C₄×C₁₁	—	2	1	no	—
322	C₂×C₄×C₁₁	—	2	2	no	—
323	C₂×C₄×C₁₁	—	2	1	no	—
324	C₂×C₄×C₁₁	—	2	2	no	—
325	C₂×C₄×C₁₁	—	2	2	no	—
326	C₂×C₄×C₁₁	—	2	2	no	—
327	C₂×C₄×C₁₁	—	2	2	no	—
328	C₂×C₄×C₁₁	—	2	2	no	—
329	C₂×C₄×C₁₁	—	2	2	no	—
330	C₂×C₄×C₁₁	—	2	1	no	—
331	C₂×C₄×C₁₁	—	2	2	no	—
332	C₂×C₄×C₁₁	—	2	2	no	—
333	C₂×C₄×C₁₁	—	2	2	no	—
334	C₂×C₄×C₁₁	—	2	2	no	—
335	C₂×C₄×C₁₁	—	2	2	no	—
336	C₂×C₄×C₁₁	—	2	2	no	—
337	C₂×C₄×C₁₁	—	2	2	no	—
338	C₂×C₄×C₁₁	—	2	2	no	—
339	C₂×C₄×C₁₁	—	2	2	no	—
340	C₂×C₄×C₁₁	—	2	2	no	—
341	C₂×C₄×C₁₁	—	2	2	no	—
342	C₂×C₄×C₁₁	—	2	2	no	—
343	C₂×C₄×C₁₁	—	2	2	no	—
344	C₂×C₄×C₁₁	—	2	2	no	—
345	C₂×C₄×C₁₁	—	2	2	no	—
346	C₂×C₄×C₁₁	—	2	2	no	—
347	C₂×C₄×C₁₁	—	2	2	no	—
348	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
349	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
350	C₂×C₄×C₁₁	C₂²×Q₈	1	2	yes	—
351	C₂×C₄×C₁₁	C₂²×Q₈	1	4	yes	—
352	C₂×C₄×C₁₁	C₂²×Q₈	1	4	yes	—
353	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
354	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
355	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
356	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
357	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
358	C₂×C₄⋊Q₈	C₂²×C₁₁	1	2	yes	—
359	C₂×#125	C₂²×C₁₁	1	2	yes	—
360	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic
361	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
362	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
363	#400	C₂²×C₁₁	1	2	yes	—
364	#400	C₂²×C₁₁	1	2	yes	—
365	#400	C₂²×C₁₁	1	2	yes	—
366	#400	C₂²×C₁₁	1	2	yes	—
367	#398	C₂²×C₁₁	1	2	yes	—
368	#398	C₂²×C₁₁	1	2	yes	—
369	#398	C₂²×C₁₁	1	2	yes	—
370	#398	C₂²×C₁₁	1	2	yes	—
371	#398	C₂²×C₁₁	1	2	yes	—
372	#398	C₂²×C₁₁	1	2	yes	—
373	#398	C₂²×C₁₁	1	2	yes	—
374	#398	C₂²×C₁₁	1	2	yes	—
375	#395	C₂²×C₁₁	1	2	yes	—
376	#395	C₂²×C₁₁	1	2	yes	—
377	#395	C₂²×C₁₁	1	2	yes	—
378	#395	C₂²×C₁₁	1	2	yes	—
379	#391	C₂²×C₁₁	1	1	yes	characteristic
380	#391	C₂²×C₁₁	1	2	yes	—
381	#391	C₂²×C₁₁	1	2	yes	—
382	#391	C₂²×C₁₁	1	2	yes	—
383	#391	C₂²×C₁₁	1	2	yes	—
384	#391	C₂²×C₁₁	1	1	yes	characteristic
385	#391	C₂²×C₁₁	1	2	yes	—
386	#391	C₂²×C₁₁	1	1	yes	characteristic
387	#391	C₂²×C₁₁	1	1	yes	characteristic
388	#389	C₂²×C₁₁	1	1	yes	characteristic
389	#389	C₂²×C₁₁	1	1	yes	characteristic
390	#389	C₂²×C₁₁	1	1	yes	characteristic
391	#389	C₂²×C₁₁	1	2	yes	—
392	#389	C₂²×C₁₁	1	2	yes	—
393	#389	C₂²×C₁₁	1	2	yes	—
394	#389	C₂²×C₁₁	1	2	yes	—
395	#389	C₂²×C₁₁	1	2	yes	—
396	#389	C₂²×C₁₁	1	2	yes	—
397	#389	C₂²×C₁₁	1	2	yes	—
398	#389	C₂²×C₁₁	1	2	yes	—
399	#389	C₂²×C₁₁	1	2	yes	—
400	#389	C₂²×C₁₁	1	1	yes	characteristic
401	#389	C₂²×C₁₁	1	1	yes	characteristic
402	#389	C₂²×C₁₁	1	1	yes	characteristic
403	#387	C₂²×C₁₁	1	2	yes	—
404	#387	C₂²×C₁₁	1	2	yes	—
405	#387	C₂²×C₁₁	1	2	yes	—
406	#387	C₂²×C₁₁	1	2	yes	—
407	#387	C₂²×C₁₁	1	2	yes	—
408	#387	C₂²×C₁₁	1	2	yes	—
409	#387	C₂²×C₁₁	1	2	yes	—
410	#387	C₂²×C₁₁	1	2	yes	—
411	#387	C₂²×C₁₁	1	2	yes	—
412	#387	C₂²×C₁₁	1	2	yes	—
413	#387	C₂²×C₁₁	1	2	yes	—
414	#387	C₂²×C₁₁	1	2	yes	—
415	#387	C₂²×C₁₁	1	2	yes	—
416	#387	C₂²×C₁₁	1	2	yes	—
417	#387	C₂²×C₁₁	1	2	yes	—
418	#387	C₂²×C₁₁	1	2	yes	—
419	#387	C₂²×C₁₁	1	2	yes	—
420	#387	C₂²×C₁₁	1	2	yes	—
421	#387	C₂²×C₁₁	1	2	yes	—
422	#387	C₂²×C₁₁	1	2	yes	—
423	#387	C₂²×C₁₁	1	2	yes	—
424	#387	C₂²×C₁₁	1	2	yes	—
425	#387	C₂²×C₁₁	1	2	yes	—
426	#387	C₂²×C₁₁	1	2	yes	—
427	#382	C₂²×C₁₁	1	1	yes	characteristic
428	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
429	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
430	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
431	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
432	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
433	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
434	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
435	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
436	C₄×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
437	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
438	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
439	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
440	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
441	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
442	#376	C₂²×C₁₁	1	2	yes	—
443	#376	C₂²×C₁₁	1	2	yes	—
444	C₄³	C₂²×C₁₁	1	1	yes	characteristic
445	C₂²×C₁₁	C₂³×Q₈	1	1	yes	characteristic
446	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
447	C₂²×C₁₁	C₂²×#41	1	1	yes	characteristic
448	C₂²×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
449	C₂²×C₁₁	#585	1	1	yes	characteristic
450	C₂²×C₁₁	#585	1	1	yes	characteristic
451	C₂²×C₁₁	#585	1	1	yes	characteristic
452	C₄×C₁₁	—	2	2	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	—	2	2	no	—
458	C₄×C₁₁	—	2	4	no	—
459	C₄×C₁₁	—	2	2	no	—
460	C₄×C₁₁	—	2	2	no	—
461	C₄×C₁₁	—	2	2	no	—
462	C₄×C₁₁	—	4	1	no	—
463	C₄×C₁₁	—	4	2	no	—
464	C₄×C₁₁	—	4	2	no	—
465	C₄×C₁₁	—	4	2	no	—
466	C₄×C₁₁	—	4	2	no	—
467	C₄×C₁₁	—	4	2	no	—
468	C₄×C₁₁	—	4	2	no	—
469	C₄×C₁₁	—	4	2	no	—
470	C₄×C₁₁	—	4	2	no	—
471	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
472	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
473	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
474	C₄⋊Q₈	—	2	8	no	—
475	#125	—	2	8	no	—
476	#125	Q₈×C₁₁	1	8	yes	complemented
477	C₄×Q₈	—	2	4	no	—
478	C₄×Q₈	—	2	4	no	—
479	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
480	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
481	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
482	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
483	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
484	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
485	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
486	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
487	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
488	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
489	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
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	1	yes	characteristic
494	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
495	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
496	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
497	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
498	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
499	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
500	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
501	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
502	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
503	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
504	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
505	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
506	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
507	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
508	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
509	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
510	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
511	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
512	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
513	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
514	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
515	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
516	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
517	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
518	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
519	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
520	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
521	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
522	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
523	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
524	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
525	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
526	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
527	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
528	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
529	#95	C₂³×C₁₁	1	2	yes	—
530	#95	C₂³×C₁₁	1	2	yes	—
531	#95	C₂³×C₁₁	1	2	yes	—
532	#95	C₂³×C₁₁	1	2	yes	—
533	#95	C₂³×C₁₁	1	2	yes	—
534	#95	C₂³×C₁₁	1	2	yes	—
535	#95	C₂³×C₁₁	1	2	yes	—
536	#95	C₂³×C₁₁	1	2	yes	—
537	#95	C₂³×C₁₁	1	2	yes	—
538	#95	C₂³×C₁₁	1	2	yes	—
539	#95	C₂³×C₁₁	1	2	yes	—
540	#95	C₂³×C₁₁	1	2	yes	—
541	#95	C₂³×C₁₁	1	2	yes	—
542	#95	C₂³×C₁₁	1	2	yes	—
543	#95	C₂³×C₁₁	1	2	yes	—
544	#95	C₂³×C₁₁	1	2	yes	—
545	#95	C₂³×C₁₁	1	2	yes	—
546	#95	C₂³×C₁₁	1	2	yes	—
547	#95	C₂³×C₁₁	1	2	yes	—
548	#95	C₂³×C₁₁	1	2	yes	—
549	#95	C₂³×C₁₁	1	2	yes	—
550	#95	C₂³×C₁₁	1	2	yes	—
551	#95	C₂³×C₁₁	1	2	yes	—
552	#95	C₂³×C₁₁	1	2	yes	—
553	#95	C₂³×C₁₁	1	2	yes	—
554	#95	C₂³×C₁₁	1	2	yes	—
555	#95	C₂³×C₁₁	1	2	yes	—
556	#95	C₂³×C₁₁	1	2	yes	—
557	#95	C₂³×C₁₁	1	2	yes	—
558	#95	C₂³×C₁₁	1	2	yes	—
559	#95	C₂³×C₁₁	1	2	yes	—
560	#95	C₂³×C₁₁	1	2	yes	—
561	#95	C₂³×C₁₁	1	2	yes	—
562	#95	C₂³×C₁₁	1	2	yes	—
563	C₂×C₁₁	Q₈×#41	1	1	yes	characteristic
564	C₂×C₁₁	Q₈×#41	1	1	yes	characteristic
565	C₂×C₁₁	#3482	1	1	yes	characteristic
566	C₂×C₁₁	#3491	1	1	yes	characteristic
567	C₂×C₁₁	#3493	1	1	yes	characteristic
568	C₂×C₁₁	#3502	1	1	yes	characteristic
569	C₂×C₁₁	#3553	1	1	yes	characteristic
570	C₂×Q₈	—	2	2	no	—
571	C₂×Q₈	—	2	4	no	—
572	C₂×Q₈	—	4	1	no	—
573	C₂×Q₈	—	4	1	no	—
574	C₂×Q₈	—	4	1	no	—
575	C₂×Q₈	—	4	1	no	—
576	C₂×Q₈	—	4	2	no	—
577	C₂×Q₈	—	4	2	no	—
578	C₂×Q₈	C₁₁×#41	1	4	yes	—
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	2	yes	—
584	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
585	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
586	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
587	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
588	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
589	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
590	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
591	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
592	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
593	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
594	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
595	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
596	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
597	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
598	C₄⋊C₄	—	2	4	no	—
599	C₄⋊C₄	—	2	2	no	—
600	C₄⋊C₄	—	2	4	no	—
601	C₄⋊C₄	—	2	4	no	—
602	C₄⋊C₄	—	2	4	no	—
603	C₄⋊C₄	—	2	4	no	—
604	C₄⋊C₄	—	2	4	no	—
605	C₄⋊C₄	—	2	4	no	—
606	C₄⋊C₄	—	2	4	no	—
607	C₄⋊C₄	—	2	4	no	—
608	C₄⋊C₄	—	2	4	no	—
609	C₄⋊C₄	—	2	4	no	—
610	C₄⋊C₄	—	2	4	no	—
611	C₄⋊C₄	—	2	4	no	—
612	C₄⋊C₄	—	4	2	no	—
613	C₄⋊C₄	—	4	2	no	—
614	C₄⋊C₄	—	4	1	no	—
615	C₄⋊C₄	—	4	1	no	—
616	C₄⋊C₄	—	4	1	no	—
617	C₄⋊C₄	—	4	1	no	—
618	C₄⋊C₄	—	4	1	no	—
619	C₄⋊C₄	—	4	1	no	—
620	C₄⋊C₄	—	4	2	no	—
621	C₄⋊C₄	—	4	2	no	—
622	C₄⋊C₄	—	4	2	no	—
623	C₄⋊C₄	—	4	2	no	—
624	C₄⋊C₄	—	4	2	no	—
625	C₄⋊C₄	—	4	2	no	—
626	C₄⋊C₄	C₂×Q₈×C₁₁	1	8	yes	—
627	C₄⋊C₄	C₂×Q₈×C₁₁	1	8	yes	—
628	C₄⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
629	C₄⋊C₄	C₂×Q₈×C₁₁	1	4	yes	—
630	C₄⋊C₄	C₁₁×#41	1	4	yes	—
631	C₄²	—	2	4	no	—
632	C₄²	—	2	2	no	—
633	C₄²	—	2	2	no	—
634	C₄²	—	2	4	no	—
635	C₄²	—	2	4	no	—
636	C₄²	—	2	4	no	—
637	C₄²	—	2	2	no	—
638	C₄²	—	4	1	no	—
639	C₄²	—	4	1	no	—
640	C₄²	—	4	2	no	—
641	C₄²	—	4	2	no	—
642	C₄²	—	4	2	no	—
643	C₄²	—	4	2	no	—
644	C₄²	—	4	2	no	—
645	C₄²	—	4	2	no	—
646	C₄²	—	4	1	no	—
647	C₄²	C₂×Q₈×C₁₁	1	4	yes	—
648	C₁₁	#59927	1	1	yes	characteristic, direct product factor, Sylow
649	C₂³	C₂⁵×C₁₁	1	1	yes	characteristic
650	Q₈	—	4	4	no	—
651	Q₈	—	4	4	no	—
652	Q₈	—	8	4	no	—
653	C₂×C₄	—	2	1	no	—
654	C₂×C₄	—	2	1	no	—
655	C₂×C₄	—	2	2	no	—
656	C₂×C₄	—	2	2	no	—
657	C₂×C₄	—	2	2	no	—
658	C₂×C₄	—	2	1	no	—
659	C₂×C₄	—	2	2	no	—
660	C₂×C₄	—	2	1	no	—
661	C₂×C₄	—	2	1	no	—
662	C₂×C₄	—	2	1	no	—
663	C₂×C₄	—	2	1	no	—
664	C₂×C₄	—	2	2	no	—
665	C₂×C₄	—	2	2	no	—
666	C₂×C₄	—	2	1	no	—
667	C₂×C₄	—	2	1	no	—
668	C₂×C₄	—	2	1	no	—
669	C₂×C₄	—	2	1	no	—
670	C₂×C₄	—	2	1	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	2	no	—
673	C₂×C₄	—	2	1	no	—
674	C₂×C₄	—	2	2	no	—
675	C₂×C₄	—	2	1	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	2	2	no	—
678	C₂×C₄	—	2	2	no	—
679	C₂×C₄	—	2	2	no	—
680	C₂×C₄	—	2	2	no	—
681	C₂×C₄	—	2	2	no	—
682	C₂×C₄	—	2	1	no	—
683	C₂×C₄	—	2	2	no	—
684	C₂×C₄	—	2	2	no	—
685	C₂×C₄	—	2	2	no	—
686	C₂×C₄	—	2	2	no	—
687	C₂×C₄	—	2	2	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	2	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	2	no	—
697	C₂×C₄	—	2	2	no	—
698	C₂×C₄	—	2	2	no	—
699	C₂×C₄	—	2	2	no	—
700	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
701	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
702	C₂×C₄	C₂²×Q₈×C₁₁	1	2	yes	—
703	C₂×C₄	C₂²×Q₈×C₁₁	1	4	yes	—
704	C₂×C₄	C₂²×Q₈×C₁₁	1	4	yes	—
705	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
706	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
707	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
708	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
709	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
710	C₂²	C₂³×Q₈×C₁₁	1	1	yes	characteristic
711	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
712	C₂²	C₂²×C₁₁×#41	1	1	yes	characteristic
713	C₂²	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
714	C₂²	C₁₁×#585	1	1	yes	characteristic
715	C₂²	C₁₁×#585	1	1	yes	characteristic
716	C₂²	C₁₁×#585	1	1	yes	characteristic
717	C₄	—	2	2	no	—
718	C₄	—	2	2	no	—
719	C₄	—	2	4	no	—
720	C₄	—	2	4	no	—
721	C₄	—	2	4	no	—
722	C₄	—	2	4	no	—
723	C₄	—	2	2	no	—
724	C₄	—	2	2	no	—
725	C₄	—	2	2	no	—
726	C₄	—	2	2	no	—
727	C₄	—	4	1	no	—
728	C₄	—	4	2	no	—
729	C₄	—	4	2	no	—
730	C₄	—	4	2	no	—
731	C₄	—	4	2	no	—
732	C₄	—	4	2	no	—
733	C₄	—	4	2	no	—
734	C₄	—	4	2	no	—
735	C₄	—	4	2	no	—
736	C₂	Q₈×C₁₁×#41	1	1	yes	characteristic
737	C₂	Q₈×C₁₁×#41	1	1	yes	characteristic
738	C₂	C₁₁×#3482	1	1	yes	characteristic
739	C₂	C₁₁×#3491	1	1	yes	characteristic
740	C₂	C₁₁×#3493	1	1	yes	characteristic
741	C₂	C₁₁×#3502	1	1	yes	characteristic
742	C₂	C₁₁×#3553	1	1	yes	characteristic

	subgroup	G/H
center, socle, prime radical	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
112. C₁₁×#125	Q₈	semidirect
199. #59927	C₁₁	direct (N × H)
476. #125	Q₈×C₁₁	semidirect
648. C₁₁	#59927	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×#2806	2
C₁₁×#2805	2
C₁₁×#2734	2
C₁₁×#2726	2
C₁₁×#2612	2
C₁₁×#2590	2
C₁₁×#2588	2
C₁₁×#2586	2
C₁₁×#2585	2
C₁₁×#2462	2
C₁₁×#2446	2
C₁₁×#2371	2
C₁₁×#2370	2
C₁₁×#2369	2
C₄×C₁₁×#125	2
C₁₁×#2295	2
#59927	11

Subgroups — C11×#59927 #14637120

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#59927 #14637120