Subgroups — C₁₁×#61684 #14638877

Order 2816.

2152 conjugacy classes of subgroups.

The subgroup lattice has 810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3548	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3496	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3330	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3314	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3294	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3283	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3272	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3268	C₂	1	4	yes	maximal, complemented
9	C₁₁×#3214	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3210	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3203	C₂	1	4	yes	maximal, complemented
12	C₁₁×#3110	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3100	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3012	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×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
18	C₂×C₁₁×#135	C₂²	1	4	yes	complemented
19	C₁₁×#562	—	2	2	no	—
20	C₁₁×#554	—	2	1	no	—
21	C₁₁×#554	C₂²	1	2	yes	complemented
22	C₁₁×#550	—	2	1	no	—
23	C₁₁×#550	C₂²	1	2	yes	complemented
24	C₁₁×#547	—	2	1	no	—
25	C₁₁×#547	C₂²	1	2	yes	—
26	C₁₁×#547	C₂²	1	2	yes	complemented
27	C₁₁×#547	C₂²	1	2	yes	complemented
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×#540	—	2	2	no	—
33	C₁₁×#537	—	2	2	no	—
34	C₁₁×#537	C₂²	1	2	yes	—
35	C₁₁×#537	C₂²	1	4	yes	complemented
36	C₁₁×#534	—	2	2	no	—
37	C₁₁×#533	C₂²	1	1	yes	characteristic, complemented
38	C₁₁×#532	C₂²	1	1	yes	characteristic
39	C₁₁×#532	C₂²	1	1	yes	characteristic
40	C₁₁×#532	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₁×#121	—	2	2	no	—
42	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
43	C₁₁×#496	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×#484	C₂²	1	2	yes	complemented
50	C₁₁×#484	C₂²	1	4	yes	complemented
51	C₁₁×#480	C₂²	1	2	yes	complemented
52	C₁₁×#480	C₂²	1	4	yes	complemented
53	C₁₁×#474	C₂²	1	2	yes	complemented
54	C₁₁×#474	C₂²	1	2	yes	complemented
55	C₁₁×#468	C₂²	1	4	yes	complemented
56	C₁₁×#468	C₂²	1	4	yes	complemented
57	C₁₁×#467	C₂²	1	4	yes	complemented
58	C₁₁×#466	C₂²	1	4	yes	complemented
59	C₁₁×#464	C₂²	1	4	yes	complemented
60	C₁₁×#461	C₂²	1	2	yes	complemented
61	C₁₁×#461	C₂²	1	2	yes	complemented
62	C₁₁×#459	C₂²	1	2	yes	complemented
63	C₁₁×#459	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×#450	C₂²	1	2	yes	—
68	C₁₁×#450	C₂²	1	4	yes	complemented
69	C₁₁×#449	C₂²	1	4	yes	complemented
70	C₁₁×#449	C₂²	1	4	yes	complemented
71	C₁₁×#449	C₂²	1	4	yes	complemented
72	C₁₁×#447	C₂²	1	2	yes	—
73	C₁₁×#447	C₂²	1	4	yes	complemented
74	C₁₁×#440	C₂²	1	4	yes	complemented
75	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
76	C₄×C₁₁×D₈	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×#417	C₂²	1	4	yes	complemented
83	C₂×C₁₁×#102	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	—	2	2	no	—
88	C₂×C₁₁×#41	—	2	1	no	—
89	C₂×C₁₁×#41	C₂³	1	4	yes	—
90	C₂×C₁₁×#41	C₂³	1	2	yes	—
91	C₂×C₁₁×#41	C₂³	1	4	yes	—
92	C₂×C₁₁×#41	C₂³	1	2	yes	—
93	C₂²×D₄×C₁₁	—	2	4	no	—
94	C₂²×D₄×C₁₁	—	2	2	no	—
95	C₂²×D₄×C₁₁	—	2	2	no	—
96	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
97	C₂²×D₄×C₁₁	C₂³	1	4	yes	—
98	C₂³×C₄×C₁₁	—	2	1	no	—
99	C₁₁×AGL(1,ℤ/8)	—	4	8	no	—
100	C₁₁×#135	—	4	8	no	—
101	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
102	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
103	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
104	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
105	C₂×C₁₁×D₈	C₂³	1	2	yes	—
106	C₂×C₁₁×D₈	C₂³	1	2	yes	—
107	C₂×C₁₁×D₈	C₂³	1	4	yes	—
108	C₂×C₁₁×M₁₆	C₂³	1	4	yes	—
109	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
110	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
111	C₁₁×C₄⋊Q₈	C₂³	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×#127	—	2	2	no	—
116	C₁₁×#127	D₄	1	1	yes	characteristic
117	C₁₁×#127	C₂³	1	1	yes	characteristic
118	C₁₁×#127	C₂³	1	1	yes	characteristic
119	C₁₁×#125	—	2	2	no	—
120	C₁₁×#125	—	2	1	no	—
121	C₁₁×#124	—	2	1	no	—
122	C₁₁×#124	D₄	1	2	yes	—
123	C₁₁×#124	C₂³	1	2	yes	—
124	C₁₁×#123	—	2	4	no	—
125	C₁₁×#123	—	2	4	no	—
126	C₁₁×#123	—	2	4	no	—
127	C₁₁×#123	—	2	4	no	—
128	C₁₁×C₂²⋊Q₈	—	2	2	no	—
129	C₁₁×C₂²⋊Q₈	—	2	4	no	—
130	C₁₁×C₂²⋊Q₈	—	2	1	no	—
131	C₁₁×C₂²⋊Q₈	—	2	2	no	—
132	C₁₁×C₂²⋊Q₈	—	2	4	no	—
133	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
134	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
135	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
136	C₁₁×#121	—	2	4	no	—
137	C₁₁×#121	—	2	2	no	—
138	C₁₁×#121	—	2	4	no	—
139	C₁₁×#121	—	2	4	no	—
140	C₁₁×#121	—	2	2	no	—
141	C₁₁×#121	—	2	2	no	—
142	C₁₁×#121	—	2	4	no	—
143	C₁₁×#121	—	2	1	no	—
144	C₁₁×#121	—	2	1	no	—
145	C₁₁×#121	—	2	1	no	—
146	C₁₁×#121	—	2	2	no	—
147	C₁₁×#121	—	2	4	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	2	yes	—
152	C₁₁×#121	C₂³	1	4	yes	—
153	C₁₁×#121	C₂³	1	4	yes	—
154	C₁₁×#120	—	2	4	no	—
155	C₁₁×#120	—	2	4	no	—
156	C₄×Q₈×C₁₁	—	2	1	no	—
157	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
158	C₄×D₄×C₁₁	—	2	2	no	—
159	C₄×D₄×C₁₁	—	2	2	no	—
160	C₄×D₄×C₁₁	—	2	1	no	—
161	C₄×D₄×C₁₁	—	2	1	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	C₂³	1	2	yes	—
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	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
172	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
173	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
174	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
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	2	yes	—
179	C₁₁×#107	C₂³	1	2	yes	—
180	C₁₁×#107	C₂³	1	4	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	4	yes	—
186	C₁₁×#102	C₂³	1	4	yes	—
187	C₁₁×#102	C₂³	1	2	yes	—
188	C₁₁×#102	C₂³	1	4	yes	—
189	C₁₁×#102	C₂³	1	4	yes	—
190	C₁₁×#102	C₂³	1	2	yes	—
191	C₁₁×#102	C₂³	1	2	yes	—
192	C₁₁×#102	C₂³	1	2	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	#61684	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	4	no	—
208	C₁₁×#41	—	4	4	no	—
209	C₁₁×#41	—	4	8	no	—
210	C₁₁×#41	—	8	2	no	—
211	C₁₁×#41	—	8	4	no	—
212	C₂×Q₈×C₁₁	—	2	1	no	—
213	C₂×Q₈×C₁₁	—	2	1	no	—
214	C₂×Q₈×C₁₁	C₂×D₄	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	2	no	—
223	C₂×D₄×C₁₁	—	2	4	no	—
224	C₂×D₄×C₁₁	—	2	4	no	—
225	C₂×D₄×C₁₁	—	2	1	no	—
226	C₂×D₄×C₁₁	—	2	1	no	—
227	C₂×D₄×C₁₁	—	2	1	no	—
228	C₂×D₄×C₁₁	—	2	4	no	—
229	C₂×D₄×C₁₁	—	2	1	no	—
230	C₂×D₄×C₁₁	—	2	1	no	—
231	C₂×D₄×C₁₁	—	4	4	no	—
232	C₂×D₄×C₁₁	—	4	8	no	—
233	C₂×D₄×C₁₁	—	4	16	no	—
234	C₂×D₄×C₁₁	—	8	4	no	—
235	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
236	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
237	C₂×D₄×C₁₁	C₂×D₄	1	4	yes	—
238	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
239	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
240	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
241	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
242	C₂²×C₄×C₁₁	—	2	1	no	—
243	C₂²×C₄×C₁₁	—	2	4	no	—
244	C₂²×C₄×C₁₁	—	2	4	no	—
245	C₂²×C₄×C₁₁	—	2	2	no	—
246	C₂²×C₄×C₁₁	—	2	2	no	—
247	C₂²×C₄×C₁₁	—	2	2	no	—
248	C₂²×C₄×C₁₁	—	2	2	no	—
249	C₂²×C₄×C₁₁	—	2	4	no	—
250	C₂²×C₄×C₁₁	—	8	2	no	—
251	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
252	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
253	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
254	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
255	C₁₁×Q₁₆	—	4	4	no	—
256	C₁₁×SD₁₆	—	2	8	no	—
257	C₁₁×SD₁₆	—	4	4	no	—
258	C₁₁×SD₁₆	—	4	4	no	—
259	C₁₁×D₈	—	2	4	no	—
260	C₁₁×D₈	—	2	4	no	—
261	C₁₁×D₈	—	4	4	no	—
262	C₁₁×M₁₆	—	4	4	no	—
263	C₂×C₈×C₁₁	—	4	4	no	—
264	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
265	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
266	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
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	1	no	—
272	C₁₁×C₄⋊C₄	—	2	4	no	—
273	C₁₁×C₄⋊C₄	—	2	1	no	—
274	C₁₁×C₄⋊C₄	—	2	1	no	—
275	C₁₁×C₄⋊C₄	—	2	1	no	—
276	C₁₁×C₄⋊C₄	—	2	1	no	—
277	C₁₁×C₄⋊C₄	—	2	2	no	—
278	C₁₁×C₄⋊C₄	—	2	2	no	—
279	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
280	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
281	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
282	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
283	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
284	C₁₁×C₂²⋊C₄	—	2	4	no	—
285	C₁₁×C₂²⋊C₄	—	2	2	no	—
286	C₁₁×C₂²⋊C₄	—	2	4	no	—
287	C₁₁×C₂²⋊C₄	—	2	2	no	—
288	C₁₁×C₂²⋊C₄	—	2	2	no	—
289	C₁₁×C₂²⋊C₄	—	2	2	no	—
290	C₁₁×C₂²⋊C₄	—	2	4	no	—
291	C₁₁×C₂²⋊C₄	—	2	2	no	—
292	C₁₁×C₂²⋊C₄	—	2	4	no	—
293	C₁₁×C₂²⋊C₄	—	2	2	no	—
294	C₁₁×C₂²⋊C₄	—	2	2	no	—
295	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
296	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
297	C₄²×C₁₁	—	2	2	no	—
298	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
299	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
300	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
301	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
302	#3548	C₂×C₁₁	1	1	yes	characteristic, complemented
303	#3496	C₂×C₁₁	1	1	yes	characteristic, complemented
304	#3330	C₂×C₁₁	1	2	yes	complemented
305	#3314	C₂×C₁₁	1	4	yes	complemented
306	#3294	C₂×C₁₁	1	2	yes	complemented
307	#3283	C₂×C₁₁	1	2	yes	complemented
308	#3272	C₂×C₁₁	1	2	yes	complemented
309	#3268	C₂×C₁₁	1	4	yes	complemented
310	#3214	C₂×C₁₁	1	1	yes	characteristic, complemented
311	#3210	C₂×C₁₁	1	1	yes	characteristic, complemented
312	#3203	C₂×C₁₁	1	4	yes	complemented
313	#3110	C₂×C₁₁	1	1	yes	characteristic, complemented
314	#3100	C₂×C₁₁	1	1	yes	characteristic, complemented
315	#3012	C₂×C₁₁	1	4	yes	complemented
316	#2981	C₂×C₁₁	1	1	yes	characteristic, complemented
317	C₂³×C₁₁	—	2	4	no	—
318	C₂³×C₁₁	—	2	2	no	—
319	C₂³×C₁₁	—	2	2	no	—
320	C₂³×C₁₁	—	2	2	no	—
321	C₂³×C₁₁	—	4	8	no	—
322	C₂³×C₁₁	—	8	1	no	—
323	C₂³×C₁₁	—	8	1	no	—
324	C₂³×C₁₁	—	8	4	no	—
325	C₂³×C₁₁	—	8	4	no	—
326	C₂³×C₁₁	C₂²×D₄	1	4	yes	—
327	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
328	Q₈×C₁₁	—	2	4	no	—
329	Q₈×C₁₁	—	2	4	no	—
330	Q₈×C₁₁	—	4	2	no	—
331	Q₈×C₁₁	—	4	2	no	—
332	Q₈×C₁₁	—	8	1	no	—
333	D₄×C₁₁	—	2	4	no	—
334	D₄×C₁₁	—	2	4	no	—
335	D₄×C₁₁	—	2	2	no	—
336	D₄×C₁₁	—	2	2	no	—
337	D₄×C₁₁	—	2	2	no	—
338	D₄×C₁₁	—	2	4	no	—
339	D₄×C₁₁	—	4	2	no	—
340	D₄×C₁₁	—	4	4	no	—
341	D₄×C₁₁	—	4	2	no	—
342	D₄×C₁₁	—	4	8	no	—
343	D₄×C₁₁	—	4	2	no	—
344	D₄×C₁₁	—	4	8	no	—
345	D₄×C₁₁	—	4	4	no	—
346	D₄×C₁₁	—	4	2	no	—
347	D₄×C₁₁	—	8	1	no	—
348	D₄×C₁₁	—	8	1	no	—
349	D₄×C₁₁	—	8	4	no	—
350	D₄×C₁₁	—	8	4	no	—
351	D₄×C₁₁	—	8	2	no	—
352	D₄×C₁₁	—	8	4	no	—
353	D₄×C₁₁	H(5,𝔽₂)	1	4	yes	—
354	C₂×C₄×C₁₁	—	2	2	no	—
355	C₂×C₄×C₁₁	—	2	4	no	—
356	C₂×C₄×C₁₁	—	2	4	no	—
357	C₂×C₄×C₁₁	—	2	2	no	—
358	C₂×C₄×C₁₁	—	2	2	no	—
359	C₂×C₄×C₁₁	—	2	2	no	—
360	C₂×C₄×C₁₁	—	2	2	no	—
361	C₂×C₄×C₁₁	—	2	2	no	—
362	C₂×C₄×C₁₁	—	2	2	no	—
363	C₂×C₄×C₁₁	—	4	1	no	—
364	C₂×C₄×C₁₁	—	4	8	no	—
365	C₂×C₄×C₁₁	—	4	4	no	—
366	C₂×C₄×C₁₁	—	4	4	no	—
367	C₂×C₄×C₁₁	—	4	4	no	—
368	C₂×C₄×C₁₁	—	8	2	no	—
369	C₂×C₄×C₁₁	—	8	4	no	—
370	C₂×C₄×C₁₁	—	8	1	no	—
371	C₂×C₄×C₁₁	—	8	4	no	—
372	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
373	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
374	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
375	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
376	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
377	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
378	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
379	C₈×C₁₁	—	2	2	no	—
380	C₈×C₁₁	—	2	4	no	—
381	C₈×C₁₁	—	2	2	no	—
382	C₂×H(5,𝔽₂)	C₂²×C₁₁	1	2	yes	—
383	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	4	yes	complemented
384	C₂×#135	C₂²×C₁₁	1	4	yes	complemented
385	#562	—	2	2	no	—
386	#554	—	2	1	no	—
387	#554	C₂²×C₁₁	1	2	yes	complemented
388	#550	—	2	1	no	—
389	#550	C₂²×C₁₁	1	2	yes	complemented
390	#547	—	2	1	no	—
391	#547	C₂²×C₁₁	1	2	yes	—
392	#547	C₂²×C₁₁	1	2	yes	complemented
393	#547	C₂²×C₁₁	1	2	yes	complemented
394	#546	—	2	2	no	—
395	#546	C₂²×C₁₁	1	4	yes	—
396	D₄²	—	2	1	no	—
397	D₄²	C₂²×C₁₁	1	2	yes	—
398	#540	—	2	2	no	—
399	#537	—	2	2	no	—
400	#537	C₂²×C₁₁	1	2	yes	—
401	#537	C₂²×C₁₁	1	4	yes	complemented
402	#534	—	2	2	no	—
403	#533	C₂²×C₁₁	1	1	yes	characteristic, complemented
404	#532	C₂²×C₁₁	1	1	yes	characteristic
405	#532	C₂²×C₁₁	1	1	yes	characteristic
406	#532	C₂²×C₁₁	1	1	yes	characteristic, complemented
407	C₂×#121	—	2	2	no	—
408	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
409	#496	C₂²×C₁₁	1	2	yes	complemented
410	#494	C₂²×C₁₁	1	1	yes	characteristic, complemented
411	#492	C₂²×C₁₁	1	1	yes	characteristic, complemented
412	#489	C₂²×C₁₁	1	2	yes	complemented
413	#487	C₂²×C₁₁	1	1	yes	characteristic, complemented
414	#486	C₂²×C₁₁	1	1	yes	characteristic, complemented
415	#484	C₂²×C₁₁	1	4	yes	complemented
416	#484	C₂²×C₁₁	1	2	yes	complemented
417	#480	C₂²×C₁₁	1	2	yes	complemented
418	#480	C₂²×C₁₁	1	4	yes	complemented
419	#474	C₂²×C₁₁	1	2	yes	complemented
420	#474	C₂²×C₁₁	1	2	yes	complemented
421	#468	C₂²×C₁₁	1	4	yes	complemented
422	#468	C₂²×C₁₁	1	4	yes	complemented
423	#467	C₂²×C₁₁	1	4	yes	complemented
424	#466	C₂²×C₁₁	1	4	yes	complemented
425	#464	C₂²×C₁₁	1	4	yes	complemented
426	#461	C₂²×C₁₁	1	2	yes	complemented
427	#461	C₂²×C₁₁	1	2	yes	complemented
428	#459	C₂²×C₁₁	1	2	yes	complemented
429	#459	C₂²×C₁₁	1	2	yes	complemented
430	#452	C₂²×C₁₁	1	4	yes	complemented
431	#452	C₂²×C₁₁	1	4	yes	complemented
432	#452	C₂²×C₁₁	1	4	yes	complemented
433	#450	C₂²×C₁₁	1	2	yes	—
434	#450	C₂²×C₁₁	1	4	yes	complemented
435	#449	C₂²×C₁₁	1	4	yes	complemented
436	#449	C₂²×C₁₁	1	4	yes	complemented
437	#449	C₂²×C₁₁	1	4	yes	complemented
438	#447	C₂²×C₁₁	1	2	yes	—
439	#447	C₂²×C₁₁	1	4	yes	complemented
440	#440	C₂²×C₁₁	1	4	yes	complemented
441	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
442	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
443	#436	C₂²×C₁₁	1	2	yes	complemented
444	#435	C₂²×C₁₁	1	4	yes	complemented
445	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
446	#432	C₂²×C₁₁	1	1	yes	characteristic, complemented
447	#431	C₂²×C₁₁	1	1	yes	characteristic, complemented
448	#417	C₂²×C₁₁	1	4	yes	complemented
449	C₂×#102	C₂²×C₁₁	1	4	yes	complemented
450	#408	C₂²×C₁₁	1	4	yes	complemented
451	C₂²×C₁₁	—	2	1	no	—
452	C₂²×C₁₁	—	2	4	no	—
453	C₂²×C₁₁	—	2	1	no	—
454	C₂²×C₁₁	—	2	4	no	—
455	C₂²×C₁₁	—	2	4	no	—
456	C₂²×C₁₁	—	2	1	no	—
457	C₂²×C₁₁	—	2	4	no	—
458	C₂²×C₁₁	—	4	2	no	—
459	C₂²×C₁₁	—	4	2	no	—
460	C₂²×C₁₁	—	4	2	no	—
461	C₂²×C₁₁	—	4	2	no	—
462	C₂²×C₁₁	—	4	2	no	—
463	C₂²×C₁₁	—	4	2	no	—
464	C₂²×C₁₁	—	4	2	no	—
465	C₂²×C₁₁	—	4	2	no	—
466	C₂²×C₁₁	—	8	4	no	—
467	C₂²×C₁₁	—	16	8	no	—
468	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
469	C₄×C₁₁	—	2	1	no	—
470	C₄×C₁₁	—	2	1	no	—
471	C₄×C₁₁	—	2	1	no	—
472	C₄×C₁₁	—	2	4	no	—
473	C₄×C₁₁	—	2	1	no	—
474	C₄×C₁₁	—	4	2	no	—
475	C₄×C₁₁	—	4	2	no	—
476	C₄×C₁₁	—	4	2	no	—
477	C₄×C₁₁	—	4	2	no	—
478	C₄×C₁₁	—	4	2	no	—
479	C₄×C₁₁	#576	1	2	yes	—
480	C₄×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
481	H(5,𝔽₂)	—	4	8	no	—
482	C₂×#41	—	2	2	no	—
483	C₂×#41	—	2	2	no	—
484	C₂×#41	—	2	1	no	—
485	C₂×#41	C₂³×C₁₁	1	4	yes	—
486	C₂×#41	C₂³×C₁₁	1	2	yes	—
487	C₂×#41	C₂³×C₁₁	1	4	yes	—
488	C₂×#41	C₂³×C₁₁	1	2	yes	—
489	C₂²×D₄	—	2	4	no	—
490	C₂²×D₄	—	2	2	no	—
491	C₂²×D₄	—	2	2	no	—
492	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
493	C₂²×D₄	C₂³×C₁₁	1	4	yes	—
494	C₂³×C₄	—	2	1	no	—
495	AGL(1,ℤ/8)	—	4	8	no	—
496	#135	—	4	8	no	—
497	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
498	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
499	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
500	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
501	C₂×D₈	C₂³×C₁₁	1	2	yes	—
502	C₂×D₈	C₂³×C₁₁	1	2	yes	—
503	C₂×D₈	C₂³×C₁₁	1	4	yes	—
504	C₂×M₁₆	C₂³×C₁₁	1	4	yes	—
505	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
506	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
507	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
508	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
509	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
510	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
511	#127	—	2	2	no	—
512	#127	D₄×C₁₁	1	1	yes	characteristic
513	#127	C₂³×C₁₁	1	1	yes	characteristic
514	#127	C₂³×C₁₁	1	1	yes	characteristic
515	#125	—	2	2	no	—
516	#125	—	2	1	no	—
517	#124	—	2	1	no	—
518	#124	D₄×C₁₁	1	2	yes	—
519	#124	C₂³×C₁₁	1	2	yes	—
520	#123	—	2	4	no	—
521	#123	—	2	4	no	—
522	#123	—	2	4	no	—
523	#123	—	2	4	no	—
524	C₂²⋊Q₈	—	2	2	no	—
525	C₂²⋊Q₈	—	2	4	no	—
526	C₂²⋊Q₈	—	2	1	no	—
527	C₂²⋊Q₈	—	2	2	no	—
528	C₂²⋊Q₈	—	2	4	no	—
529	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
530	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
531	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
532	#121	—	2	4	no	—
533	#121	—	2	2	no	—
534	#121	—	2	4	no	—
535	#121	—	2	4	no	—
536	#121	—	2	2	no	—
537	#121	—	2	2	no	—
538	#121	—	2	4	no	—
539	#121	—	2	1	no	—
540	#121	—	2	1	no	—
541	#121	—	2	1	no	—
542	#121	—	2	2	no	—
543	#121	—	2	4	no	—
544	#121	—	2	4	no	—
545	#121	D₄×C₁₁	1	2	yes	—
546	#121	D₄×C₁₁	1	2	yes	—
547	#121	C₂³×C₁₁	1	2	yes	—
548	#121	C₂³×C₁₁	1	4	yes	—
549	#121	C₂³×C₁₁	1	4	yes	—
550	#120	—	2	4	no	—
551	#120	—	2	4	no	—
552	C₄×Q₈	—	2	1	no	—
553	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
554	C₄×D₄	—	2	2	no	—
555	C₄×D₄	—	2	2	no	—
556	C₄×D₄	—	2	1	no	—
557	C₄×D₄	—	2	1	no	—
558	C₄×D₄	—	2	1	no	—
559	C₄×D₄	—	2	1	no	—
560	C₄×D₄	—	2	1	no	—
561	C₄×D₄	C₂³×C₁₁	1	2	yes	—
562	C₄×D₄	C₂³×C₁₁	1	2	yes	—
563	C₄×D₄	C₂³×C₁₁	1	2	yes	—
564	C₄×D₄	C₂³×C₁₁	1	2	yes	—
565	C₄×D₄	C₂³×C₁₁	1	2	yes	—
566	#117	—	2	1	no	—
567	C₂×C₄⋊C₄	—	2	2	no	—
568	C₂×C₄⋊C₄	—	2	2	no	—
569	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
570	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
571	C₂×C₂²⋊C₄	—	2	1	no	—
572	C₂×C₂²⋊C₄	—	2	4	no	—
573	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
574	#107	C₂³×C₁₁	1	2	yes	—
575	#107	C₂³×C₁₁	1	2	yes	—
576	#107	C₂³×C₁₁	1	4	yes	—
577	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
578	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
579	#103	C₂³×C₁₁	1	4	yes	—
580	#103	C₂³×C₁₁	1	4	yes	—
581	#103	C₂³×C₁₁	1	4	yes	—
582	#102	C₂³×C₁₁	1	2	yes	—
583	#102	C₂³×C₁₁	1	4	yes	—
584	#102	C₂³×C₁₁	1	4	yes	—
585	#102	C₂³×C₁₁	1	4	yes	—
586	#102	C₂³×C₁₁	1	2	yes	—
587	#102	C₂³×C₁₁	1	2	yes	—
588	#102	C₂³×C₁₁	1	2	yes	—
589	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
590	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
591	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
592	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
593	#97	C₂³×C₁₁	1	2	yes	—
594	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
595	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
596	C₂×C₁₁	—	4	1	no	—
597	C₂×C₁₁	—	4	4	no	—
598	C₂×C₁₁	—	4	4	no	—
599	C₂×C₁₁	—	8	2	no	—
600	C₂×C₁₁	—	8	2	no	—
601	C₂×C₁₁	#3484	1	1	yes	characteristic
602	C₂×C₁₁	C₂×#576	1	1	yes	characteristic
603	C₂×C₁₁	#3586	1	1	yes	characteristic
604	C₂⁴	—	2	1	no	—
605	C₂⁴	—	2	4	no	—
606	#41	—	2	8	no	—
607	#41	—	4	4	no	—
608	#41	—	4	4	no	—
609	#41	—	4	4	no	—
610	#41	—	4	4	no	—
611	#41	—	4	4	no	—
612	#41	—	4	8	no	—
613	#41	—	8	2	no	—
614	#41	—	8	4	no	—
615	C₂×Q₈	—	2	1	no	—
616	C₂×Q₈	—	2	1	no	—
617	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
618	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
619	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
620	C₂×D₄	—	2	4	no	—
621	C₂×D₄	—	2	8	no	—
622	C₂×D₄	—	2	4	no	—
623	C₂×D₄	—	2	2	no	—
624	C₂×D₄	—	2	4	no	—
625	C₂×D₄	—	2	2	no	—
626	C₂×D₄	—	2	4	no	—
627	C₂×D₄	—	2	4	no	—
628	C₂×D₄	—	2	1	no	—
629	C₂×D₄	—	2	1	no	—
630	C₂×D₄	—	2	1	no	—
631	C₂×D₄	—	2	4	no	—
632	C₂×D₄	—	2	1	no	—
633	C₂×D₄	—	2	1	no	—
634	C₂×D₄	—	4	4	no	—
635	C₂×D₄	—	4	8	no	—
636	C₂×D₄	—	4	16	no	—
637	C₂×D₄	—	8	4	no	—
638	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
639	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
640	C₂×D₄	C₂×D₄×C₁₁	1	4	yes	—
641	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
642	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
643	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
644	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
645	C₂²×C₄	—	2	1	no	—
646	C₂²×C₄	—	2	4	no	—
647	C₂²×C₄	—	2	4	no	—
648	C₂²×C₄	—	2	2	no	—
649	C₂²×C₄	—	2	2	no	—
650	C₂²×C₄	—	2	2	no	—
651	C₂²×C₄	—	2	2	no	—
652	C₂²×C₄	—	2	4	no	—
653	C₂²×C₄	—	8	2	no	—
654	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
655	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
656	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
657	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
658	Q₁₆	—	4	4	no	—
659	SD₁₆	—	2	8	no	—
660	SD₁₆	—	4	4	no	—
661	SD₁₆	—	4	4	no	—
662	D₈	—	2	4	no	—
663	D₈	—	2	4	no	—
664	D₈	—	4	4	no	—
665	M₁₆	—	4	4	no	—
666	C₂×C₈	—	4	4	no	—
667	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
668	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
669	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
670	C₄⋊C₄	—	2	1	no	—
671	C₄⋊C₄	—	2	1	no	—
672	C₄⋊C₄	—	2	4	no	—
673	C₄⋊C₄	—	2	4	no	—
674	C₄⋊C₄	—	2	1	no	—
675	C₄⋊C₄	—	2	4	no	—
676	C₄⋊C₄	—	2	1	no	—
677	C₄⋊C₄	—	2	1	no	—
678	C₄⋊C₄	—	2	1	no	—
679	C₄⋊C₄	—	2	1	no	—
680	C₄⋊C₄	—	2	2	no	—
681	C₄⋊C₄	—	2	2	no	—
682	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
683	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
684	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
685	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
686	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
687	C₂²⋊C₄	—	2	4	no	—
688	C₂²⋊C₄	—	2	2	no	—
689	C₂²⋊C₄	—	2	4	no	—
690	C₂²⋊C₄	—	2	2	no	—
691	C₂²⋊C₄	—	2	2	no	—
692	C₂²⋊C₄	—	2	2	no	—
693	C₂²⋊C₄	—	2	4	no	—
694	C₂²⋊C₄	—	2	2	no	—
695	C₂²⋊C₄	—	2	4	no	—
696	C₂²⋊C₄	—	2	2	no	—
697	C₂²⋊C₄	—	2	2	no	—
698	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
699	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
700	C₄²	—	2	2	no	—
701	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
702	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
703	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
704	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
705	C₁₁	#61684	1	1	yes	characteristic, direct product factor, Sylow
706	C₂³	—	2	4	no	—
707	C₂³	—	2	2	no	—
708	C₂³	—	2	2	no	—
709	C₂³	—	2	2	no	—
710	C₂³	—	4	8	no	—
711	C₂³	—	8	1	no	—
712	C₂³	—	8	1	no	—
713	C₂³	—	8	4	no	—
714	C₂³	—	8	4	no	—
715	C₂³	C₂²×D₄×C₁₁	1	4	yes	—
716	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
717	Q₈	—	2	4	no	—
718	Q₈	—	2	4	no	—
719	Q₈	—	4	2	no	—
720	Q₈	—	4	2	no	—
721	Q₈	—	8	1	no	—
722	D₄	—	2	4	no	—
723	D₄	—	2	4	no	—
724	D₄	—	2	2	no	—
725	D₄	—	2	2	no	—
726	D₄	—	2	2	no	—
727	D₄	—	2	4	no	—
728	D₄	—	4	2	no	—
729	D₄	—	4	4	no	—
730	D₄	—	4	2	no	—
731	D₄	—	4	8	no	—
732	D₄	—	4	2	no	—
733	D₄	—	4	8	no	—
734	D₄	—	4	4	no	—
735	D₄	—	4	2	no	—
736	D₄	—	8	1	no	—
737	D₄	—	8	1	no	—
738	D₄	—	8	4	no	—
739	D₄	—	8	4	no	—
740	D₄	—	8	2	no	—
741	D₄	—	8	4	no	—
742	D₄	C₁₁×H(5,𝔽₂)	1	4	yes	—
743	C₂×C₄	—	2	2	no	—
744	C₂×C₄	—	2	4	no	—
745	C₂×C₄	—	2	4	no	—
746	C₂×C₄	—	2	2	no	—
747	C₂×C₄	—	2	2	no	—
748	C₂×C₄	—	2	2	no	—
749	C₂×C₄	—	2	2	no	—
750	C₂×C₄	—	2	2	no	—
751	C₂×C₄	—	2	2	no	—
752	C₂×C₄	—	4	1	no	—
753	C₂×C₄	—	4	8	no	—
754	C₂×C₄	—	4	4	no	—
755	C₂×C₄	—	4	4	no	—
756	C₂×C₄	—	4	4	no	—
757	C₂×C₄	—	8	2	no	—
758	C₂×C₄	—	8	4	no	—
759	C₂×C₄	—	8	1	no	—
760	C₂×C₄	—	8	4	no	—
761	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
762	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
763	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
764	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
765	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
766	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
767	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
768	C₈	—	2	2	no	—
769	C₈	—	2	4	no	—
770	C₈	—	2	2	no	—
771	C₂²	—	2	1	no	—
772	C₂²	—	2	4	no	—
773	C₂²	—	2	4	no	—
774	C₂²	—	2	1	no	—
775	C₂²	—	2	4	no	—
776	C₂²	—	2	1	no	—
777	C₂²	—	2	4	no	—
778	C₂²	—	4	2	no	—
779	C₂²	—	4	2	no	—
780	C₂²	—	4	2	no	—
781	C₂²	—	4	2	no	—
782	C₂²	—	4	2	no	—
783	C₂²	—	4	2	no	—
784	C₂²	—	4	2	no	—
785	C₂²	—	4	2	no	—
786	C₂²	—	8	4	no	—
787	C₂²	—	16	8	no	—
788	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
789	C₄	—	2	1	no	—
790	C₄	—	2	4	no	—
791	C₄	—	2	1	no	—
792	C₄	—	2	1	no	—
793	C₄	—	2	1	no	—
794	C₄	—	4	2	no	—
795	C₄	—	4	2	no	—
796	C₄	—	4	2	no	—
797	C₄	—	4	2	no	—
798	C₄	—	4	2	no	—
799	C₄	C₁₁×#576	1	2	yes	—
800	C₄	C₂×C₁₁×H(5,𝔽₂)	1	2	yes	—
801	C₂	—	4	1	no	—
802	C₂	—	4	4	no	—
803	C₂	—	4	4	no	—
804	C₂	—	8	2	no	—
805	C₂	—	8	2	no	—
806	C₂	C₁₁×#3484	1	1	yes	characteristic
807	C₂	C₂×C₁₁×#576	1	1	yes	characteristic
808	C₂	C₁₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
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×#3548	C₂	semidirect
2. C₁₁×#3496	C₂	semidirect
3. C₁₁×#3330	C₂	semidirect
4. C₁₁×#3314	C₂	semidirect
5. C₁₁×#3294	C₂	semidirect
6. C₁₁×#3283	C₂	semidirect
7. C₁₁×#3272	C₂	semidirect
8. C₁₁×#3268	C₂	semidirect
9. C₁₁×#3214	C₂	semidirect
10. C₁₁×#3210	C₂	semidirect
11. C₁₁×#3203	C₂	semidirect
12. C₁₁×#3110	C₂	semidirect
13. C₁₁×#3100	C₂	semidirect
14. C₁₁×#3012	C₂	semidirect
15. C₁₁×#2981	C₂	semidirect
17. C₂×C₁₁×AGL(1,ℤ/8)	C₂²	semidirect
18. C₂×C₁₁×#135	C₂²	semidirect
21. C₁₁×#554	C₂²	semidirect
23. C₁₁×#550	C₂²	semidirect
26. C₁₁×#547	C₂²	semidirect
27. C₁₁×#547	C₂²	semidirect
35. C₁₁×#537	C₂²	semidirect
37. C₁₁×#533	C₂²	semidirect
40. C₁₁×#532	C₂²	semidirect
43. C₁₁×#496	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×#484	C₂²	semidirect
50. C₁₁×#484	C₂²	semidirect
51. C₁₁×#480	C₂²	semidirect
52. C₁₁×#480	C₂²	semidirect
53. C₁₁×#474	C₂²	semidirect
54. C₁₁×#474	C₂²	semidirect
55. C₁₁×#468	C₂²	semidirect
56. C₁₁×#468	C₂²	semidirect
57. C₁₁×#467	C₂²	semidirect
58. C₁₁×#466	C₂²	semidirect
59. C₁₁×#464	C₂²	semidirect
60. C₁₁×#461	C₂²	semidirect
61. C₁₁×#461	C₂²	semidirect
62. C₁₁×#459	C₂²	semidirect
63. C₁₁×#459	C₂²	semidirect
64. C₁₁×#452	C₂²	semidirect
65. C₁₁×#452	C₂²	semidirect
66. C₁₁×#452	C₂²	semidirect
68. C₁₁×#450	C₂²	semidirect
69. C₁₁×#449	C₂²	semidirect
70. C₁₁×#449	C₂²	semidirect
71. C₁₁×#449	C₂²	semidirect
73. C₁₁×#447	C₂²	semidirect
74. C₁₁×#440	C₂²	semidirect
75. C₄×C₁₁×D₈	C₂²	semidirect
76. C₄×C₁₁×D₈	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×#417	C₂²	semidirect
83. C₂×C₁₁×#102	C₂²	semidirect
84. C₁₁×#408	C₂²	semidirect
200. #61684	C₁₁	direct (N × H)
302. #3548	C₂×C₁₁	semidirect
303. #3496	C₂×C₁₁	semidirect
304. #3330	C₂×C₁₁	semidirect
305. #3314	C₂×C₁₁	semidirect
306. #3294	C₂×C₁₁	semidirect
307. #3283	C₂×C₁₁	semidirect
308. #3272	C₂×C₁₁	semidirect
309. #3268	C₂×C₁₁	semidirect
310. #3214	C₂×C₁₁	semidirect
311. #3210	C₂×C₁₁	semidirect
312. #3203	C₂×C₁₁	semidirect
313. #3110	C₂×C₁₁	semidirect
314. #3100	C₂×C₁₁	semidirect
315. #3012	C₂×C₁₁	semidirect
316. #2981	C₂×C₁₁	semidirect
383. C₂×AGL(1,ℤ/8)	C₂²×C₁₁	semidirect
384. C₂×#135	C₂²×C₁₁	semidirect
387. #554	C₂²×C₁₁	semidirect
389. #550	C₂²×C₁₁	semidirect
392. #547	C₂²×C₁₁	semidirect
393. #547	C₂²×C₁₁	semidirect
401. #537	C₂²×C₁₁	semidirect
403. #533	C₂²×C₁₁	semidirect
406. #532	C₂²×C₁₁	semidirect
409. #496	C₂²×C₁₁	semidirect
410. #494	C₂²×C₁₁	semidirect
411. #492	C₂²×C₁₁	semidirect
412. #489	C₂²×C₁₁	semidirect
413. #487	C₂²×C₁₁	semidirect
414. #486	C₂²×C₁₁	semidirect
415. #484	C₂²×C₁₁	semidirect
416. #484	C₂²×C₁₁	semidirect
417. #480	C₂²×C₁₁	semidirect
418. #480	C₂²×C₁₁	semidirect
419. #474	C₂²×C₁₁	semidirect
420. #474	C₂²×C₁₁	semidirect
421. #468	C₂²×C₁₁	semidirect
422. #468	C₂²×C₁₁	semidirect
423. #467	C₂²×C₁₁	semidirect
424. #466	C₂²×C₁₁	semidirect
425. #464	C₂²×C₁₁	semidirect
426. #461	C₂²×C₁₁	semidirect
427. #461	C₂²×C₁₁	semidirect
428. #459	C₂²×C₁₁	semidirect
429. #459	C₂²×C₁₁	semidirect
430. #452	C₂²×C₁₁	semidirect
431. #452	C₂²×C₁₁	semidirect
432. #452	C₂²×C₁₁	semidirect
434. #450	C₂²×C₁₁	semidirect
435. #449	C₂²×C₁₁	semidirect
436. #449	C₂²×C₁₁	semidirect
437. #449	C₂²×C₁₁	semidirect
439. #447	C₂²×C₁₁	semidirect
440. #440	C₂²×C₁₁	semidirect
441. C₄×D₈	C₂²×C₁₁	semidirect
442. C₄×D₈	C₂²×C₁₁	semidirect
443. #436	C₂²×C₁₁	semidirect
444. #435	C₂²×C₁₁	semidirect
445. C₈×D₄	C₂²×C₁₁	semidirect
446. #432	C₂²×C₁₁	semidirect
447. #431	C₂²×C₁₁	semidirect
448. #417	C₂²×C₁₁	semidirect
449. C₂×#102	C₂²×C₁₁	semidirect
450. #408	C₂²×C₁₁	semidirect
705. C₁₁	#61684	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×#3548	2
C₁₁×#3496	2
C₁₁×#3330	2
C₁₁×#3314	2
C₁₁×#3294	2
C₁₁×#3283	2
C₁₁×#3272	2
C₁₁×#3268	2
C₁₁×#3214	2
C₁₁×#3210	2
C₁₁×#3203	2
C₁₁×#3110	2
C₁₁×#3100	2
C₁₁×#3012	2
C₁₁×#2981	2
#61684	11

Subgroups — C11×#61684 #14638877

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61684 #14638877