Subgroups — C₁₁×#61680 #14638873

Order 2816.

2096 conjugacy classes of subgroups.

The subgroup lattice has 788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3550	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3496	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#3324	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3311	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3302	C₂	1	2	yes	maximal, complemented
6	D₄×C₁₁×SD₁₆	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3276	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3266	C₂	1	4	yes	maximal, complemented
9	C₁₁×#3216	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3210	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3201	C₂	1	4	yes	maximal, complemented
12	C₁₁×#3110	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3101	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3009	C₂	1	4	yes	maximal, complemented
15	C₁₁×#2981	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₁×H(5,𝔽₂)	C₂²	1	2	yes	—
17	C₂×C₁₁×#137	C₂²	1	4	yes	complemented
18	C₂²×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
19	C₁₁×#563	—	2	2	no	—
20	C₁₁×#559	—	2	1	no	—
21	Q₈²×C₁₁	—	2	1	no	—
22	C₁₁×#556	C₂²	1	2	yes	complemented
23	C₁₁×#556	C₂²	1	2	yes	complemented
24	D₄×Q₈×C₁₁	C₂²	1	2	yes	complemented
25	D₄×Q₈×C₁₁	C₂²	1	2	yes	complemented
26	C₁₁×#547	—	2	1	no	—
27	C₁₁×#547	C₂²	1	2	yes	—
28	C₁₁×#546	—	2	2	no	—
29	C₁₁×#546	C₂²	1	4	yes	—
30	D₄²×C₁₁	—	2	1	no	—
31	D₄²×C₁₁	C₂²	1	2	yes	—
32	C₁₁×#542	—	2	2	no	—
33	C₁₁×#542	—	2	2	no	—
34	C₁₁×#537	C₂²	1	2	yes	—
35	C₁₁×#536	C₂²	1	4	yes	complemented
36	C₁₁×#534	—	2	2	no	—
37	C₁₁×#533	C₂²	1	1	yes	characteristic, complemented
38	C₁₁×#533	C₂²	1	1	yes	characteristic, complemented
39	C₁₁×#532	C₂²	1	1	yes	characteristic
40	C₁₁×#532	C₂²	1	1	yes	characteristic
41	C₂×C₁₁×#121	—	2	2	no	—
42	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
43	C₁₁×#497	C₂²	1	2	yes	complemented
44	C₁₁×#494	C₂²	1	1	yes	characteristic, complemented
45	C₁₁×#492	C₂²	1	1	yes	characteristic, complemented
46	C₁₁×#489	C₂²	1	2	yes	complemented
47	C₁₁×#487	C₂²	1	1	yes	characteristic, complemented
48	C₁₁×#486	C₂²	1	1	yes	characteristic, complemented
49	C₁₁×#485	C₂²	1	4	yes	complemented
50	C₁₁×#484	C₂²	1	2	yes	complemented
51	C₁₁×#483	C₂²	1	2	yes	complemented
52	C₁₁×#482	C₂²	1	4	yes	complemented
53	C₁₁×#476	C₂²	1	2	yes	complemented
54	C₁₁×#474	C₂²	1	2	yes	complemented
55	C₁₁×#470	C₂²	1	4	yes	complemented
56	C₁₁×#468	C₂²	1	4	yes	complemented
57	C₁₁×#467	C₂²	1	4	yes	complemented
58	C₁₁×#465	C₂²	1	4	yes	complemented
59	C₁₁×#464	C₂²	1	4	yes	complemented
60	C₁₁×#462	C₂²	1	2	yes	complemented
61	C₁₁×#461	C₂²	1	2	yes	complemented
62	C₁₁×#461	C₂²	1	2	yes	complemented
63	C₁₁×#460	C₂²	1	2	yes	complemented
64	C₁₁×#452	C₂²	1	4	yes	complemented
65	C₁₁×#452	C₂²	1	4	yes	complemented
66	C₁₁×#452	C₂²	1	4	yes	complemented
67	C₁₁×#452	C₂²	1	4	yes	complemented
68	C₁₁×#451	C₂²	1	4	yes	complemented
69	C₁₁×#450	C₂²	1	2	yes	—
70	C₁₁×#450	C₂²	1	2	yes	—
71	C₁₁×#450	C₂²	1	4	yes	complemented
72	C₁₁×#450	C₂²	1	4	yes	complemented
73	C₁₁×#448	C₂²	1	4	yes	complemented
74	C₁₁×#440	C₂²	1	4	yes	complemented
75	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
76	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
77	C₁₁×#436	C₂²	1	2	yes	complemented
78	C₁₁×#435	C₂²	1	4	yes	complemented
79	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
80	C₁₁×#432	C₂²	1	1	yes	characteristic, complemented
81	C₁₁×#431	C₂²	1	1	yes	characteristic, complemented
82	C₁₁×#418	C₂²	1	4	yes	complemented
83	C₁₁×#416	C₂²	1	4	yes	complemented
84	C₁₁×#408	C₂²	1	4	yes	complemented
85	C₁₁×H(5,𝔽₂)	—	4	8	no	—
86	C₂×C₁₁×#41	—	2	2	no	—
87	C₂×C₁₁×#41	C₂³	1	4	yes	—
88	C₂×C₁₁×#41	C₂³	1	2	yes	—
89	C₂×C₁₁×#41	C₂³	1	2	yes	—
90	C₂²×Q₈×C₁₁	C₂³	1	4	yes	—
91	C₂²×D₄×C₁₁	—	2	4	no	—
92	C₂²×D₄×C₁₁	—	2	2	no	—
93	C₂²×D₄×C₁₁	—	2	2	no	—
94	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
95	C₂²×D₄×C₁₁	C₂³	1	4	yes	—
96	C₂³×C₄×C₁₁	—	2	1	no	—
97	C₁₁×#137	—	4	8	no	—
98	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
99	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
100	C₂×C₁₁×SD₁₆	—	4	8	no	—
101	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
102	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
103	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
104	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
105	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
106	C₂×C₁₁×M₁₆	C₂³	1	4	yes	—
107	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
108	C₁₁×C₄⋊Q₈	—	2	4	no	—
109	C₁₁×C₄⋊Q₈	—	2	2	no	—
110	C₁₁×C₄⋊Q₈	—	2	2	no	—
111	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
112	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
113	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
114	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
115	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
116	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
117	C₁₁×#127	D₄	1	1	yes	characteristic
118	C₁₁×#127	C₂³	1	1	yes	characteristic
119	C₁₁×#126	—	2	4	no	—
120	C₁₁×#126	—	2	4	no	—
121	C₁₁×#125	—	2	1	no	—
122	C₁₁×#125	—	2	1	no	—
123	C₁₁×#124	—	2	4	no	—
124	C₁₁×#124	—	2	2	no	—
125	C₁₁×#124	—	2	2	no	—
126	C₁₁×#124	D₄	1	2	yes	—
127	C₁₁×#124	C₂³	1	2	yes	—
128	C₁₁×#123	—	2	4	no	—
129	C₁₁×#123	—	2	4	no	—
130	C₁₁×#123	—	2	4	no	—
131	C₁₁×#123	—	2	4	no	—
132	C₁₁×C₂²⋊Q₈	—	2	2	no	—
133	C₁₁×C₂²⋊Q₈	—	2	1	no	—
134	C₁₁×C₂²⋊Q₈	—	2	1	no	—
135	C₁₁×C₂²⋊Q₈	—	2	4	no	—
136	C₁₁×C₂²⋊Q₈	—	2	4	no	—
137	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
138	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
139	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
140	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
141	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
142	C₁₁×#121	—	2	4	no	—
143	C₁₁×#121	—	2	2	no	—
144	C₁₁×#121	—	2	2	no	—
145	C₁₁×#121	—	2	1	no	—
146	C₁₁×#121	—	2	1	no	—
147	C₁₁×#121	—	2	2	no	—
148	C₁₁×#121	—	2	4	no	—
149	C₁₁×#121	D₄	1	2	yes	—
150	C₁₁×#121	D₄	1	2	yes	—
151	C₁₁×#121	C₂³	1	4	yes	—
152	C₁₁×#120	—	2	4	no	—
153	C₁₁×#120	—	2	4	no	—
154	C₄×Q₈×C₁₁	—	2	2	no	—
155	C₄×Q₈×C₁₁	—	2	2	no	—
156	C₄×Q₈×C₁₁	—	2	1	no	—
157	C₄×Q₈×C₁₁	—	2	1	no	—
158	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
159	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
160	C₄×D₄×C₁₁	—	2	2	no	—
161	C₄×D₄×C₁₁	—	2	2	no	—
162	C₄×D₄×C₁₁	—	2	1	no	—
163	C₄×D₄×C₁₁	—	2	1	no	—
164	C₄×D₄×C₁₁	—	2	1	no	—
165	C₄×D₄×C₁₁	—	2	1	no	—
166	C₄×D₄×C₁₁	C₂³	1	2	yes	—
167	C₄×D₄×C₁₁	C₂³	1	2	yes	—
168	C₄×D₄×C₁₁	C₂³	1	2	yes	—
169	C₄×D₄×C₁₁	C₂³	1	2	yes	—
170	C₁₁×#117	—	2	1	no	—
171	C₁₁×#117	—	2	1	no	—
172	C₁₁×#117	C₂³	1	4	yes	—
173	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
174	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
175	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
176	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
177	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
178	C₁₁×#107	C₂³	1	4	yes	—
179	C₁₁×#106	C₂³	1	2	yes	—
180	C₁₁×#106	C₂³	1	2	yes	—
181	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
182	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
183	C₁₁×#103	C₂³	1	4	yes	—
184	C₁₁×#103	C₂³	1	4	yes	—
185	C₁₁×#103	C₂³	1	2	yes	—
186	C₁₁×#103	C₂³	1	2	yes	—
187	C₁₁×#103	C₂³	1	4	yes	—
188	C₁₁×#102	C₂³	1	4	yes	—
189	C₁₁×#102	C₂³	1	2	yes	—
190	C₁₁×#102	C₂³	1	4	yes	—
191	C₁₁×#102	C₂³	1	2	yes	—
192	C₁₁×#102	C₂³	1	4	yes	—
193	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
194	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
195	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
196	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
197	C₁₁×#97	C₂³	1	2	yes	—
198	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
199	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
200	#61680	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
201	C₂⁴×C₁₁	—	2	1	no	—
202	C₂⁴×C₁₁	—	2	4	no	—
203	C₁₁×#41	—	2	8	no	—
204	C₁₁×#41	—	4	4	no	—
205	C₁₁×#41	—	4	4	no	—
206	C₁₁×#41	—	4	4	no	—
207	C₁₁×#41	—	4	8	no	—
208	C₂×Q₈×C₁₁	—	2	1	no	—
209	C₂×Q₈×C₁₁	—	2	1	no	—
210	C₂×Q₈×C₁₁	—	2	4	no	—
211	C₂×Q₈×C₁₁	—	4	4	no	—
212	C₂×Q₈×C₁₁	—	4	4	no	—
213	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
214	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
215	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
216	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
217	C₂×D₄×C₁₁	—	2	4	no	—
218	C₂×D₄×C₁₁	—	2	8	no	—
219	C₂×D₄×C₁₁	—	2	4	no	—
220	C₂×D₄×C₁₁	—	2	2	no	—
221	C₂×D₄×C₁₁	—	2	4	no	—
222	C₂×D₄×C₁₁	—	2	1	no	—
223	C₂×D₄×C₁₁	—	2	1	no	—
224	C₂×D₄×C₁₁	—	2	4	no	—
225	C₂×D₄×C₁₁	—	2	1	no	—
226	C₂×D₄×C₁₁	—	4	4	no	—
227	C₂×D₄×C₁₁	—	4	8	no	—
228	C₂×D₄×C₁₁	—	4	16	no	—
229	C₂×D₄×C₁₁	—	8	4	no	—
230	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
231	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
232	C₂×D₄×C₁₁	C₂×D₄	1	4	yes	—
233	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
234	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
235	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
236	C₂²×C₄×C₁₁	—	2	1	no	—
237	C₂²×C₄×C₁₁	—	2	4	no	—
238	C₂²×C₄×C₁₁	—	2	4	no	—
239	C₂²×C₄×C₁₁	—	2	2	no	—
240	C₂²×C₄×C₁₁	—	2	2	no	—
241	C₂²×C₄×C₁₁	—	2	2	no	—
242	C₂²×C₄×C₁₁	—	8	2	no	—
243	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
244	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
245	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
246	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
247	C₁₁×Q₁₆	—	4	4	no	—
248	C₁₁×Q₁₆	—	4	4	no	—
249	C₁₁×SD₁₆	—	2	4	no	—
250	C₁₁×SD₁₆	—	2	8	no	—
251	C₁₁×SD₁₆	—	2	4	no	—
252	C₁₁×SD₁₆	—	4	4	no	—
253	C₁₁×SD₁₆	—	4	4	no	—
254	C₁₁×M₁₆	—	4	4	no	—
255	C₂×C₈×C₁₁	—	4	4	no	—
256	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
257	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
258	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
259	C₁₁×C₄⋊C₄	—	2	1	no	—
260	C₁₁×C₄⋊C₄	—	2	4	no	—
261	C₁₁×C₄⋊C₄	—	2	1	no	—
262	C₁₁×C₄⋊C₄	—	2	1	no	—
263	C₁₁×C₄⋊C₄	—	2	1	no	—
264	C₁₁×C₄⋊C₄	—	2	1	no	—
265	C₁₁×C₄⋊C₄	—	2	1	no	—
266	C₁₁×C₄⋊C₄	—	2	1	no	—
267	C₁₁×C₄⋊C₄	—	2	1	no	—
268	C₁₁×C₄⋊C₄	—	2	1	no	—
269	C₁₁×C₄⋊C₄	—	2	4	no	—
270	C₁₁×C₄⋊C₄	—	2	4	no	—
271	C₁₁×C₄⋊C₄	—	2	2	no	—
272	C₁₁×C₄⋊C₄	—	2	2	no	—
273	C₁₁×C₄⋊C₄	—	2	2	no	—
274	C₁₁×C₄⋊C₄	—	2	2	no	—
275	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
276	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
277	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
278	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
279	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
280	C₁₁×C₂²⋊C₄	—	2	4	no	—
281	C₁₁×C₂²⋊C₄	—	2	2	no	—
282	C₁₁×C₂²⋊C₄	—	2	2	no	—
283	C₁₁×C₂²⋊C₄	—	2	4	no	—
284	C₁₁×C₂²⋊C₄	—	2	4	no	—
285	C₁₁×C₂²⋊C₄	—	2	4	no	—
286	C₁₁×C₂²⋊C₄	—	2	2	no	—
287	C₁₁×C₂²⋊C₄	—	2	2	no	—
288	C₁₁×C₂²⋊C₄	—	2	2	no	—
289	C₁₁×C₂²⋊C₄	—	2	4	no	—
290	C₁₁×C₂²⋊C₄	—	2	2	no	—
291	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
292	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
293	C₄²×C₁₁	—	2	2	no	—
294	C₄²×C₁₁	—	2	2	no	—
295	C₄²×C₁₁	—	2	4	no	—
296	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
297	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
298	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
299	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
300	#3550	C₂×C₁₁	1	1	yes	characteristic, complemented
301	#3496	C₂×C₁₁	1	1	yes	characteristic
302	#3324	C₂×C₁₁	1	2	yes	complemented
303	#3311	C₂×C₁₁	1	4	yes	complemented
304	#3302	C₂×C₁₁	1	2	yes	complemented
305	D₄×SD₁₆	C₂×C₁₁	1	2	yes	complemented
306	#3276	C₂×C₁₁	1	2	yes	complemented
307	#3266	C₂×C₁₁	1	4	yes	complemented
308	#3216	C₂×C₁₁	1	1	yes	characteristic, complemented
309	#3210	C₂×C₁₁	1	1	yes	characteristic, complemented
310	#3201	C₂×C₁₁	1	4	yes	complemented
311	#3110	C₂×C₁₁	1	1	yes	characteristic, complemented
312	#3101	C₂×C₁₁	1	1	yes	characteristic, complemented
313	#3009	C₂×C₁₁	1	4	yes	complemented
314	#2981	C₂×C₁₁	1	1	yes	characteristic, complemented
315	C₂³×C₁₁	—	2	4	no	—
316	C₂³×C₁₁	—	2	2	no	—
317	C₂³×C₁₁	—	2	2	no	—
318	C₂³×C₁₁	—	4	8	no	—
319	C₂³×C₁₁	—	8	1	no	—
320	C₂³×C₁₁	—	8	1	no	—
321	C₂³×C₁₁	—	8	4	no	—
322	C₂³×C₁₁	—	8	4	no	—
323	C₂³×C₁₁	C₂²×D₄	1	4	yes	—
324	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
325	Q₈×C₁₁	—	2	2	no	—
326	Q₈×C₁₁	—	2	4	no	—
327	Q₈×C₁₁	—	2	2	no	—
328	Q₈×C₁₁	—	2	4	no	—
329	Q₈×C₁₁	—	4	2	no	—
330	Q₈×C₁₁	—	4	2	no	—
331	Q₈×C₁₁	—	4	2	no	—
332	Q₈×C₁₁	—	8	4	no	—
333	D₄×C₁₁	—	2	4	no	—
334	D₄×C₁₁	—	2	4	no	—
335	D₄×C₁₁	—	2	2	no	—
336	D₄×C₁₁	—	2	4	no	—
337	D₄×C₁₁	—	4	2	no	—
338	D₄×C₁₁	—	4	4	no	—
339	D₄×C₁₁	—	4	2	no	—
340	D₄×C₁₁	—	4	8	no	—
341	D₄×C₁₁	—	4	8	no	—
342	D₄×C₁₁	—	4	4	no	—
343	D₄×C₁₁	—	4	2	no	—
344	D₄×C₁₁	—	8	1	no	—
345	D₄×C₁₁	—	8	4	no	—
346	D₄×C₁₁	H(5,𝔽₂)	1	4	yes	—
347	C₂×C₄×C₁₁	—	2	2	no	—
348	C₂×C₄×C₁₁	—	2	4	no	—
349	C₂×C₄×C₁₁	—	2	4	no	—
350	C₂×C₄×C₁₁	—	2	2	no	—
351	C₂×C₄×C₁₁	—	2	2	no	—
352	C₂×C₄×C₁₁	—	2	2	no	—
353	C₂×C₄×C₁₁	—	2	2	no	—
354	C₂×C₄×C₁₁	—	2	2	no	—
355	C₂×C₄×C₁₁	—	2	2	no	—
356	C₂×C₄×C₁₁	—	2	2	no	—
357	C₂×C₄×C₁₁	—	4	1	no	—
358	C₂×C₄×C₁₁	—	4	8	no	—
359	C₂×C₄×C₁₁	—	4	4	no	—
360	C₂×C₄×C₁₁	—	4	4	no	—
361	C₂×C₄×C₁₁	—	8	2	no	—
362	C₂×C₄×C₁₁	—	8	1	no	—
363	C₂×C₄×C₁₁	—	8	4	no	—
364	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
365	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
366	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
367	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
368	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
369	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
370	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
371	C₈×C₁₁	—	2	2	no	—
372	C₈×C₁₁	—	2	4	no	—
373	C₈×C₁₁	—	2	2	no	—
374	C₂×H(5,𝔽₂)	C₂²×C₁₁	1	2	yes	—
375	C₂×#137	C₂²×C₁₁	1	4	yes	complemented
376	C₂²×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
377	#563	—	2	2	no	—
378	#559	—	2	1	no	—
379	Q₈²	—	2	1	no	—
380	#556	C₂²×C₁₁	1	2	yes	complemented
381	#556	C₂²×C₁₁	1	2	yes	complemented
382	D₄×Q₈	C₂²×C₁₁	1	2	yes	complemented
383	D₄×Q₈	C₂²×C₁₁	1	2	yes	complemented
384	#547	—	2	1	no	—
385	#547	C₂²×C₁₁	1	2	yes	—
386	#546	—	2	2	no	—
387	#546	C₂²×C₁₁	1	4	yes	—
388	D₄²	—	2	1	no	—
389	D₄²	C₂²×C₁₁	1	2	yes	—
390	#542	—	2	2	no	—
391	#542	—	2	2	no	—
392	#537	C₂²×C₁₁	1	2	yes	—
393	#536	C₂²×C₁₁	1	4	yes	complemented
394	#534	—	2	2	no	—
395	#533	C₂²×C₁₁	1	1	yes	characteristic, complemented
396	#533	C₂²×C₁₁	1	1	yes	characteristic, complemented
397	#532	C₂²×C₁₁	1	1	yes	characteristic
398	#532	C₂²×C₁₁	1	1	yes	characteristic
399	C₂×#121	—	2	2	no	—
400	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
401	#497	C₂²×C₁₁	1	2	yes	complemented
402	#494	C₂²×C₁₁	1	1	yes	characteristic, complemented
403	#492	C₂²×C₁₁	1	1	yes	characteristic, complemented
404	#489	C₂²×C₁₁	1	2	yes	complemented
405	#487	C₂²×C₁₁	1	1	yes	characteristic, complemented
406	#486	C₂²×C₁₁	1	1	yes	characteristic, complemented
407	#485	C₂²×C₁₁	1	4	yes	complemented
408	#484	C₂²×C₁₁	1	2	yes	complemented
409	#483	C₂²×C₁₁	1	2	yes	complemented
410	#482	C₂²×C₁₁	1	4	yes	complemented
411	#476	C₂²×C₁₁	1	2	yes	complemented
412	#474	C₂²×C₁₁	1	2	yes	complemented
413	#470	C₂²×C₁₁	1	4	yes	complemented
414	#468	C₂²×C₁₁	1	4	yes	complemented
415	#467	C₂²×C₁₁	1	4	yes	complemented
416	#465	C₂²×C₁₁	1	4	yes	complemented
417	#464	C₂²×C₁₁	1	4	yes	complemented
418	#462	C₂²×C₁₁	1	2	yes	complemented
419	#461	C₂²×C₁₁	1	2	yes	complemented
420	#461	C₂²×C₁₁	1	2	yes	complemented
421	#460	C₂²×C₁₁	1	2	yes	complemented
422	#452	C₂²×C₁₁	1	4	yes	complemented
423	#452	C₂²×C₁₁	1	4	yes	complemented
424	#452	C₂²×C₁₁	1	4	yes	complemented
425	#452	C₂²×C₁₁	1	4	yes	complemented
426	#451	C₂²×C₁₁	1	4	yes	complemented
427	#450	C₂²×C₁₁	1	2	yes	—
428	#450	C₂²×C₁₁	1	2	yes	—
429	#450	C₂²×C₁₁	1	4	yes	complemented
430	#450	C₂²×C₁₁	1	4	yes	complemented
431	#448	C₂²×C₁₁	1	4	yes	complemented
432	#440	C₂²×C₁₁	1	4	yes	complemented
433	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
434	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
435	#436	C₂²×C₁₁	1	2	yes	complemented
436	#435	C₂²×C₁₁	1	4	yes	complemented
437	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
438	#432	C₂²×C₁₁	1	1	yes	characteristic, complemented
439	#431	C₂²×C₁₁	1	1	yes	characteristic, complemented
440	#418	C₂²×C₁₁	1	4	yes	complemented
441	#416	C₂²×C₁₁	1	4	yes	complemented
442	#408	C₂²×C₁₁	1	4	yes	complemented
443	C₂²×C₁₁	—	2	1	no	—
444	C₂²×C₁₁	—	2	4	no	—
445	C₂²×C₁₁	—	2	4	no	—
446	C₂²×C₁₁	—	2	1	no	—
447	C₂²×C₁₁	—	2	4	no	—
448	C₂²×C₁₁	—	2	1	no	—
449	C₂²×C₁₁	—	2	4	no	—
450	C₂²×C₁₁	—	4	2	no	—
451	C₂²×C₁₁	—	4	2	no	—
452	C₂²×C₁₁	—	4	2	no	—
453	C₂²×C₁₁	—	4	2	no	—
454	C₂²×C₁₁	—	4	2	no	—
455	C₂²×C₁₁	—	8	4	no	—
456	C₂²×C₁₁	—	16	8	no	—
457	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
458	C₄×C₁₁	—	2	1	no	—
459	C₄×C₁₁	—	2	1	no	—
460	C₄×C₁₁	—	2	1	no	—
461	C₄×C₁₁	—	2	4	no	—
462	C₄×C₁₁	—	2	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	#577	1	2	yes	—
470	C₄×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
471	H(5,𝔽₂)	—	4	8	no	—
472	C₂×#41	—	2	2	no	—
473	C₂×#41	C₂³×C₁₁	1	4	yes	—
474	C₂×#41	C₂³×C₁₁	1	2	yes	—
475	C₂×#41	C₂³×C₁₁	1	2	yes	—
476	C₂²×Q₈	C₂³×C₁₁	1	4	yes	—
477	C₂²×D₄	—	2	4	no	—
478	C₂²×D₄	—	2	2	no	—
479	C₂²×D₄	—	2	2	no	—
480	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
481	C₂²×D₄	C₂³×C₁₁	1	4	yes	—
482	C₂³×C₄	—	2	1	no	—
483	#137	—	4	8	no	—
484	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
485	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
486	C₂×SD₁₆	—	4	8	no	—
487	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
488	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
489	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
490	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
491	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
492	C₂×M₁₆	C₂³×C₁₁	1	4	yes	—
493	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
494	C₄⋊Q₈	—	2	4	no	—
495	C₄⋊Q₈	—	2	2	no	—
496	C₄⋊Q₈	—	2	2	no	—
497	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
498	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
499	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
500	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
501	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
502	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
503	#127	D₄×C₁₁	1	1	yes	characteristic
504	#127	C₂³×C₁₁	1	1	yes	characteristic
505	#126	—	2	4	no	—
506	#126	—	2	4	no	—
507	#125	—	2	1	no	—
508	#125	—	2	1	no	—
509	#124	—	2	4	no	—
510	#124	—	2	2	no	—
511	#124	—	2	2	no	—
512	#124	D₄×C₁₁	1	2	yes	—
513	#124	C₂³×C₁₁	1	2	yes	—
514	#123	—	2	4	no	—
515	#123	—	2	4	no	—
516	#123	—	2	4	no	—
517	#123	—	2	4	no	—
518	C₂²⋊Q₈	—	2	2	no	—
519	C₂²⋊Q₈	—	2	1	no	—
520	C₂²⋊Q₈	—	2	1	no	—
521	C₂²⋊Q₈	—	2	4	no	—
522	C₂²⋊Q₈	—	2	4	no	—
523	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
524	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
525	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
526	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
527	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
528	#121	—	2	4	no	—
529	#121	—	2	2	no	—
530	#121	—	2	2	no	—
531	#121	—	2	1	no	—
532	#121	—	2	1	no	—
533	#121	—	2	2	no	—
534	#121	—	2	4	no	—
535	#121	D₄×C₁₁	1	2	yes	—
536	#121	D₄×C₁₁	1	2	yes	—
537	#121	C₂³×C₁₁	1	4	yes	—
538	#120	—	2	4	no	—
539	#120	—	2	4	no	—
540	C₄×Q₈	—	2	2	no	—
541	C₄×Q₈	—	2	2	no	—
542	C₄×Q₈	—	2	1	no	—
543	C₄×Q₈	—	2	1	no	—
544	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
545	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
546	C₄×D₄	—	2	2	no	—
547	C₄×D₄	—	2	2	no	—
548	C₄×D₄	—	2	1	no	—
549	C₄×D₄	—	2	1	no	—
550	C₄×D₄	—	2	1	no	—
551	C₄×D₄	—	2	1	no	—
552	C₄×D₄	C₂³×C₁₁	1	2	yes	—
553	C₄×D₄	C₂³×C₁₁	1	2	yes	—
554	C₄×D₄	C₂³×C₁₁	1	2	yes	—
555	C₄×D₄	C₂³×C₁₁	1	2	yes	—
556	#117	—	2	1	no	—
557	#117	—	2	1	no	—
558	#117	C₂³×C₁₁	1	4	yes	—
559	C₂×C₄⋊C₄	—	2	2	no	—
560	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
561	C₂×C₂²⋊C₄	—	2	1	no	—
562	C₂×C₂²⋊C₄	—	2	4	no	—
563	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
564	#107	C₂³×C₁₁	1	4	yes	—
565	#106	C₂³×C₁₁	1	2	yes	—
566	#106	C₂³×C₁₁	1	2	yes	—
567	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
568	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
569	#103	C₂³×C₁₁	1	4	yes	—
570	#103	C₂³×C₁₁	1	4	yes	—
571	#103	C₂³×C₁₁	1	2	yes	—
572	#103	C₂³×C₁₁	1	2	yes	—
573	#103	C₂³×C₁₁	1	4	yes	—
574	#102	C₂³×C₁₁	1	2	yes	—
575	#102	C₂³×C₁₁	1	4	yes	—
576	#102	C₂³×C₁₁	1	2	yes	—
577	#102	C₂³×C₁₁	1	4	yes	—
578	#102	C₂³×C₁₁	1	4	yes	—
579	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
580	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
581	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
582	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
583	#97	C₂³×C₁₁	1	2	yes	—
584	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
585	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
586	C₂×C₁₁	—	4	1	no	—
587	C₂×C₁₁	—	4	4	no	—
588	C₂×C₁₁	—	4	4	no	—
589	C₂×C₁₁	—	8	2	no	—
590	C₂×C₁₁	#3484	1	1	yes	characteristic
591	C₂×C₁₁	C₂×#577	1	1	yes	characteristic
592	C₂×C₁₁	#3586	1	1	yes	characteristic
593	C₂⁴	—	2	1	no	—
594	C₂⁴	—	2	4	no	—
595	#41	—	2	8	no	—
596	#41	—	4	4	no	—
597	#41	—	4	4	no	—
598	#41	—	4	4	no	—
599	#41	—	4	8	no	—
600	C₂×Q₈	—	2	1	no	—
601	C₂×Q₈	—	2	1	no	—
602	C₂×Q₈	—	2	4	no	—
603	C₂×Q₈	—	4	4	no	—
604	C₂×Q₈	—	4	4	no	—
605	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
606	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
607	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
608	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
609	C₂×D₄	—	2	4	no	—
610	C₂×D₄	—	2	8	no	—
611	C₂×D₄	—	2	4	no	—
612	C₂×D₄	—	2	2	no	—
613	C₂×D₄	—	2	4	no	—
614	C₂×D₄	—	2	1	no	—
615	C₂×D₄	—	2	1	no	—
616	C₂×D₄	—	2	4	no	—
617	C₂×D₄	—	2	1	no	—
618	C₂×D₄	—	4	4	no	—
619	C₂×D₄	—	4	8	no	—
620	C₂×D₄	—	4	16	no	—
621	C₂×D₄	—	8	4	no	—
622	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
623	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
624	C₂×D₄	C₂×D₄×C₁₁	1	4	yes	—
625	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
626	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
627	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
628	C₂²×C₄	—	2	1	no	—
629	C₂²×C₄	—	2	4	no	—
630	C₂²×C₄	—	2	4	no	—
631	C₂²×C₄	—	2	2	no	—
632	C₂²×C₄	—	2	2	no	—
633	C₂²×C₄	—	2	2	no	—
634	C₂²×C₄	—	8	2	no	—
635	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
636	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
637	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
638	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
639	Q₁₆	—	4	4	no	—
640	Q₁₆	—	4	4	no	—
641	SD₁₆	—	2	4	no	—
642	SD₁₆	—	2	8	no	—
643	SD₁₆	—	2	4	no	—
644	SD₁₆	—	4	4	no	—
645	SD₁₆	—	4	4	no	—
646	M₁₆	—	4	4	no	—
647	C₂×C₈	—	4	4	no	—
648	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
649	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
650	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
651	C₄⋊C₄	—	2	1	no	—
652	C₄⋊C₄	—	2	4	no	—
653	C₄⋊C₄	—	2	1	no	—
654	C₄⋊C₄	—	2	1	no	—
655	C₄⋊C₄	—	2	1	no	—
656	C₄⋊C₄	—	2	1	no	—
657	C₄⋊C₄	—	2	1	no	—
658	C₄⋊C₄	—	2	1	no	—
659	C₄⋊C₄	—	2	1	no	—
660	C₄⋊C₄	—	2	1	no	—
661	C₄⋊C₄	—	2	4	no	—
662	C₄⋊C₄	—	2	4	no	—
663	C₄⋊C₄	—	2	2	no	—
664	C₄⋊C₄	—	2	2	no	—
665	C₄⋊C₄	—	2	2	no	—
666	C₄⋊C₄	—	2	2	no	—
667	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
668	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
669	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
670	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
671	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
672	C₂²⋊C₄	—	2	4	no	—
673	C₂²⋊C₄	—	2	2	no	—
674	C₂²⋊C₄	—	2	2	no	—
675	C₂²⋊C₄	—	2	4	no	—
676	C₂²⋊C₄	—	2	4	no	—
677	C₂²⋊C₄	—	2	4	no	—
678	C₂²⋊C₄	—	2	2	no	—
679	C₂²⋊C₄	—	2	2	no	—
680	C₂²⋊C₄	—	2	2	no	—
681	C₂²⋊C₄	—	2	4	no	—
682	C₂²⋊C₄	—	2	2	no	—
683	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
684	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
685	C₄²	—	2	2	no	—
686	C₄²	—	2	2	no	—
687	C₄²	—	2	4	no	—
688	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
689	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
690	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
691	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
692	C₁₁	#61680	1	1	yes	characteristic, direct product factor, Sylow
693	C₂³	—	2	4	no	—
694	C₂³	—	2	2	no	—
695	C₂³	—	2	2	no	—
696	C₂³	—	4	8	no	—
697	C₂³	—	8	1	no	—
698	C₂³	—	8	1	no	—
699	C₂³	—	8	4	no	—
700	C₂³	—	8	4	no	—
701	C₂³	C₂²×D₄×C₁₁	1	4	yes	—
702	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
703	Q₈	—	2	2	no	—
704	Q₈	—	2	4	no	—
705	Q₈	—	2	2	no	—
706	Q₈	—	2	4	no	—
707	Q₈	—	4	2	no	—
708	Q₈	—	4	2	no	—
709	Q₈	—	4	2	no	—
710	Q₈	—	8	4	no	—
711	D₄	—	2	4	no	—
712	D₄	—	2	4	no	—
713	D₄	—	2	2	no	—
714	D₄	—	2	4	no	—
715	D₄	—	4	2	no	—
716	D₄	—	4	4	no	—
717	D₄	—	4	2	no	—
718	D₄	—	4	8	no	—
719	D₄	—	4	8	no	—
720	D₄	—	4	4	no	—
721	D₄	—	4	2	no	—
722	D₄	—	8	1	no	—
723	D₄	—	8	4	no	—
724	D₄	C₁₁×H(5,𝔽₂)	1	4	yes	—
725	C₂×C₄	—	2	2	no	—
726	C₂×C₄	—	2	4	no	—
727	C₂×C₄	—	2	4	no	—
728	C₂×C₄	—	2	2	no	—
729	C₂×C₄	—	2	2	no	—
730	C₂×C₄	—	2	2	no	—
731	C₂×C₄	—	2	2	no	—
732	C₂×C₄	—	2	2	no	—
733	C₂×C₄	—	2	2	no	—
734	C₂×C₄	—	2	2	no	—
735	C₂×C₄	—	4	1	no	—
736	C₂×C₄	—	4	8	no	—
737	C₂×C₄	—	4	4	no	—
738	C₂×C₄	—	4	4	no	—
739	C₂×C₄	—	8	2	no	—
740	C₂×C₄	—	8	1	no	—
741	C₂×C₄	—	8	4	no	—
742	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
743	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
744	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
745	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
746	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
747	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
748	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
749	C₈	—	2	2	no	—
750	C₈	—	2	4	no	—
751	C₈	—	2	2	no	—
752	C₂²	—	2	4	no	—
753	C₂²	—	2	1	no	—
754	C₂²	—	2	4	no	—
755	C₂²	—	2	1	no	—
756	C₂²	—	2	4	no	—
757	C₂²	—	2	1	no	—
758	C₂²	—	2	4	no	—
759	C₂²	—	4	2	no	—
760	C₂²	—	4	2	no	—
761	C₂²	—	4	2	no	—
762	C₂²	—	4	2	no	—
763	C₂²	—	4	2	no	—
764	C₂²	—	8	4	no	—
765	C₂²	—	16	8	no	—
766	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
767	C₄	—	2	1	no	—
768	C₄	—	2	4	no	—
769	C₄	—	2	1	no	—
770	C₄	—	2	1	no	—
771	C₄	—	2	1	no	—
772	C₄	—	4	2	no	—
773	C₄	—	4	2	no	—
774	C₄	—	4	2	no	—
775	C₄	—	4	2	no	—
776	C₄	—	4	2	no	—
777	C₄	—	4	2	no	—
778	C₄	C₁₁×#577	1	2	yes	—
779	C₄	C₂×C₁₁×H(5,𝔽₂)	1	2	yes	—
780	C₂	—	4	1	no	—
781	C₂	—	4	4	no	—
782	C₂	—	4	4	no	—
783	C₂	—	8	2	no	—
784	C₂	C₁₁×#3484	1	1	yes	characteristic
785	C₂	C₂×C₁₁×#577	1	1	yes	characteristic
786	C₂	C₁₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
prime radical	C₁₁×#3496	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₁₁×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3550	C₂	semidirect
3. C₁₁×#3324	C₂	semidirect
4. C₁₁×#3311	C₂	semidirect
5. C₁₁×#3302	C₂	semidirect
6. D₄×C₁₁×SD₁₆	C₂	semidirect
7. C₁₁×#3276	C₂	semidirect
8. C₁₁×#3266	C₂	semidirect
9. C₁₁×#3216	C₂	semidirect
10. C₁₁×#3210	C₂	semidirect
11. C₁₁×#3201	C₂	semidirect
12. C₁₁×#3110	C₂	semidirect
13. C₁₁×#3101	C₂	semidirect
14. C₁₁×#3009	C₂	semidirect
15. C₁₁×#2981	C₂	semidirect
17. C₂×C₁₁×#137	C₂²	semidirect
18. C₂²×C₁₁×SD₁₆	C₂²	semidirect
22. C₁₁×#556	C₂²	semidirect
23. C₁₁×#556	C₂²	semidirect
24. D₄×Q₈×C₁₁	C₂²	semidirect
25. D₄×Q₈×C₁₁	C₂²	semidirect
35. C₁₁×#536	C₂²	semidirect
37. C₁₁×#533	C₂²	semidirect
38. C₁₁×#533	C₂²	semidirect
43. C₁₁×#497	C₂²	semidirect
44. C₁₁×#494	C₂²	semidirect
45. C₁₁×#492	C₂²	semidirect
46. C₁₁×#489	C₂²	semidirect
47. C₁₁×#487	C₂²	semidirect
48. C₁₁×#486	C₂²	semidirect
49. C₁₁×#485	C₂²	semidirect
50. C₁₁×#484	C₂²	semidirect
51. C₁₁×#483	C₂²	semidirect
52. C₁₁×#482	C₂²	semidirect
53. C₁₁×#476	C₂²	semidirect
54. C₁₁×#474	C₂²	semidirect
55. C₁₁×#470	C₂²	semidirect
56. C₁₁×#468	C₂²	semidirect
57. C₁₁×#467	C₂²	semidirect
58. C₁₁×#465	C₂²	semidirect
59. C₁₁×#464	C₂²	semidirect
60. C₁₁×#462	C₂²	semidirect
61. C₁₁×#461	C₂²	semidirect
62. C₁₁×#461	C₂²	semidirect
63. C₁₁×#460	C₂²	semidirect
64. C₁₁×#452	C₂²	semidirect
65. C₁₁×#452	C₂²	semidirect
66. C₁₁×#452	C₂²	semidirect
67. C₁₁×#452	C₂²	semidirect
68. C₁₁×#451	C₂²	semidirect
71. C₁₁×#450	C₂²	semidirect
72. C₁₁×#450	C₂²	semidirect
73. C₁₁×#448	C₂²	semidirect
74. C₁₁×#440	C₂²	semidirect
75. C₄×C₁₁×SD₁₆	C₂²	semidirect
76. C₄×C₁₁×SD₁₆	C₂²	semidirect
77. C₁₁×#436	C₂²	semidirect
78. C₁₁×#435	C₂²	semidirect
79. C₈×D₄×C₁₁	C₂²	semidirect
80. C₁₁×#432	C₂²	semidirect
81. C₁₁×#431	C₂²	semidirect
82. C₁₁×#418	C₂²	semidirect
83. C₁₁×#416	C₂²	semidirect
84. C₁₁×#408	C₂²	semidirect
200. #61680	C₁₁	direct (N × H)
300. #3550	C₂×C₁₁	semidirect
302. #3324	C₂×C₁₁	semidirect
303. #3311	C₂×C₁₁	semidirect
304. #3302	C₂×C₁₁	semidirect
305. D₄×SD₁₆	C₂×C₁₁	semidirect
306. #3276	C₂×C₁₁	semidirect
307. #3266	C₂×C₁₁	semidirect
308. #3216	C₂×C₁₁	semidirect
309. #3210	C₂×C₁₁	semidirect
310. #3201	C₂×C₁₁	semidirect
311. #3110	C₂×C₁₁	semidirect
312. #3101	C₂×C₁₁	semidirect
313. #3009	C₂×C₁₁	semidirect
314. #2981	C₂×C₁₁	semidirect
375. C₂×#137	C₂²×C₁₁	semidirect
376. C₂²×SD₁₆	C₂²×C₁₁	semidirect
380. #556	C₂²×C₁₁	semidirect
381. #556	C₂²×C₁₁	semidirect
382. D₄×Q₈	C₂²×C₁₁	semidirect
383. D₄×Q₈	C₂²×C₁₁	semidirect
393. #536	C₂²×C₁₁	semidirect
395. #533	C₂²×C₁₁	semidirect
396. #533	C₂²×C₁₁	semidirect
401. #497	C₂²×C₁₁	semidirect
402. #494	C₂²×C₁₁	semidirect
403. #492	C₂²×C₁₁	semidirect
404. #489	C₂²×C₁₁	semidirect
405. #487	C₂²×C₁₁	semidirect
406. #486	C₂²×C₁₁	semidirect
407. #485	C₂²×C₁₁	semidirect
408. #484	C₂²×C₁₁	semidirect
409. #483	C₂²×C₁₁	semidirect
410. #482	C₂²×C₁₁	semidirect
411. #476	C₂²×C₁₁	semidirect
412. #474	C₂²×C₁₁	semidirect
413. #470	C₂²×C₁₁	semidirect
414. #468	C₂²×C₁₁	semidirect
415. #467	C₂²×C₁₁	semidirect
416. #465	C₂²×C₁₁	semidirect
417. #464	C₂²×C₁₁	semidirect
418. #462	C₂²×C₁₁	semidirect
419. #461	C₂²×C₁₁	semidirect
420. #461	C₂²×C₁₁	semidirect
421. #460	C₂²×C₁₁	semidirect
422. #452	C₂²×C₁₁	semidirect
423. #452	C₂²×C₁₁	semidirect
424. #452	C₂²×C₁₁	semidirect
425. #452	C₂²×C₁₁	semidirect
426. #451	C₂²×C₁₁	semidirect
429. #450	C₂²×C₁₁	semidirect
430. #450	C₂²×C₁₁	semidirect
431. #448	C₂²×C₁₁	semidirect
432. #440	C₂²×C₁₁	semidirect
433. C₄×SD₁₆	C₂²×C₁₁	semidirect
434. C₄×SD₁₆	C₂²×C₁₁	semidirect
435. #436	C₂²×C₁₁	semidirect
436. #435	C₂²×C₁₁	semidirect
437. C₈×D₄	C₂²×C₁₁	semidirect
438. #432	C₂²×C₁₁	semidirect
439. #431	C₂²×C₁₁	semidirect
440. #418	C₂²×C₁₁	semidirect
441. #416	C₂²×C₁₁	semidirect
442. #408	C₂²×C₁₁	semidirect
692. C₁₁	#61680	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×#3550	2
C₁₁×#3496	2
C₁₁×#3324	2
C₁₁×#3311	2
C₁₁×#3302	2
D₄×C₁₁×SD₁₆	2
C₁₁×#3276	2
C₁₁×#3266	2
C₁₁×#3216	2
C₁₁×#3210	2
C₁₁×#3201	2
C₁₁×#3110	2
C₁₁×#3101	2
C₁₁×#3009	2
C₁₁×#2981	2
#61680	11

Subgroups — C11×#61680 #14638873

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61680 #14638873