Subgroups — C₁₁×#61960 #14639153

Order 2816.

1834 conjugacy classes of subgroups.

The subgroup lattice has 888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3503	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3475	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#3398	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3372	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3329	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3312	C₂	1	4	yes	maximal, complemented
7	C₁₁×#3276	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3266	C₂	1	4	yes	maximal, complemented
9	C₁₁×#3252	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3249	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3218	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3209	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3116	C₂	1	2	yes	maximal, complemented
14	C₁₁×#3101	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3039	C₂	1	2	yes	maximal, complemented
16	C₂×C₁₁×#461	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#2989	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×#137	C₂²	1	4	yes	—
19	C₂²×C₁₁×SD₁₆	C₂²	1	2	yes	—
20	Q₈²×C₁₁	—	2	1	no	—
21	C₁₁×#557	C₂²	1	2	yes	complemented
22	C₁₁×#556	C₂²	1	1	yes	characteristic
23	C₁₁×#555	C₂²	1	1	yes	characteristic
24	C₁₁×#554	—	2	2	no	—
25	C₁₁×#554	—	2	1	no	—
26	C₁₁×#554	C₂²	1	1	yes	characteristic
27	C₁₁×#553	—	2	1	no	—
28	C₁₁×#552	—	2	1	no	—
29	C₁₁×#552	C₂²	1	2	yes	—
30	C₁₁×#551	—	2	2	no	—
31	D₄×Q₈×C₁₁	C₂²	1	4	yes	—
32	D₄×Q₈×C₁₁	C₂²	1	2	yes	complemented
33	C₁₁×#547	C₂²	1	1	yes	characteristic
34	C₁₁×#546	C₂²	1	2	yes	—
35	C₁₁×#544	—	2	1	no	—
36	C₁₁×#544	—	2	2	no	—
37	C₁₁×#533	C₂²	1	1	yes	characteristic
38	C₁₁×#533	C₂²	1	1	yes	characteristic
39	C₁₁×#533	C₂²	1	2	yes	complemented
40	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×C₁₁×C₄⋊Q₈	C₂²	1	2	yes	complemented
42	C₁₁×#529	—	2	2	no	—
43	C₁₁×#529	C₂²	1	2	yes	—
44	C₁₁×#525	—	2	1	no	—
45	C₁₁×#520	—	2	1	no	—
46	C₄×C₁₁×#41	C₂²	1	2	yes	—
47	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
49	C₂×C₁₁×#117	—	2	1	no	—
50	C₁₁×#497	C₂²	1	4	yes	—
51	C₁₁×#494	C₂²	1	2	yes	complemented
52	C₁₁×#491	C₂²	1	4	yes	complemented
53	C₁₁×#487	C₂²	1	2	yes	complemented
54	C₁₁×#485	C₂²	1	4	yes	complemented
55	C₁₁×#483	C₂²	1	2	yes	—
56	C₁₁×#479	C₂²	1	4	yes	complemented
57	C₁₁×#477	C₂²	1	2	yes	complemented
58	C₁₁×#477	C₂²	1	2	yes	complemented
59	C₁₁×#476	C₂²	1	1	yes	characteristic
60	C₁₁×#476	C₂²	1	1	yes	characteristic
61	C₁₁×#470	C₂²	1	4	yes	complemented
62	C₁₁×#468	C₂²	1	4	yes	—
63	C₁₁×#467	C₂²	1	4	yes	—
64	C₁₁×#464	C₂²	1	4	yes	—
65	C₁₁×#462	C₂²	1	2	yes	complemented
66	C₁₁×#462	C₂²	1	2	yes	complemented
67	C₁₁×#462	C₂²	1	2	yes	complemented
68	C₁₁×#462	C₂²	1	2	yes	complemented
69	C₁₁×#462	C₂²	1	4	yes	complemented
70	C₁₁×#461	C₂²	1	1	yes	characteristic
71	C₁₁×#461	C₂²	1	2	yes	—
72	C₁₁×#461	C₂²	1	4	yes	—
73	C₁₁×#461	C₂²	1	2	yes	—
74	C₁₁×#461	C₂²	1	2	yes	—
75	C₁₁×#461	C₂²	1	2	yes	—
76	C₁₁×#461	C₂²	1	1	yes	characteristic
77	C₁₁×#452	C₂²	1	4	yes	—
78	C₁₁×#451	C₂²	1	4	yes	—
79	C₁₁×#451	C₂²	1	4	yes	complemented
80	C₁₁×#450	C₂²	1	2	yes	—
81	C₁₁×#448	C₂²	1	4	yes	—
82	C₁₁×#446	C₂²	1	2	yes	complemented
83	C₁₁×#441	C₂²	1	4	yes	complemented
84	C₁₁×#440	C₂²	1	4	yes	—
85	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
86	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
87	C₁₁×#436	C₂²	1	2	yes	complemented
88	C₁₁×#435	C₂²	1	4	yes	—
89	C₁₁×#432	C₂²	1	2	yes	complemented
90	C₁₁×#431	C₂²	1	1	yes	characteristic
91	C₁₁×#423	C₂²	1	2	yes	complemented
92	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
93	C₁₁×#419	C₂²	1	4	yes	complemented
94	C₂×C₁₁×#103	C₂²	1	2	yes	—
95	C₂×C₁₁×#41	D₄	1	1	yes	characteristic
96	C₂×C₁₁×#41	C₂³	1	2	yes	—
97	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
98	C₂²×Q₈×C₁₁	C₂³	1	4	yes	—
99	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
100	C₂³×C₄×C₁₁	—	2	1	no	—
101	C₁₁×#137	—	4	8	no	—
102	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
103	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
104	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
105	C₂×C₁₁×SD₁₆	—	4	4	no	—
106	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
107	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
108	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
109	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
110	C₂×C₁₁×M₁₆	C₂³	1	4	yes	—
111	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
112	C₁₁×C₄⋊Q₈	—	2	4	no	—
113	C₁₁×C₄⋊Q₈	—	2	2	no	—
114	C₁₁×C₄⋊Q₈	—	2	1	no	—
115	C₁₁×C₄⋊Q₈	—	2	1	no	—
116	C₁₁×C₄⋊Q₈	—	2	2	no	—
117	C₁₁×C₄⋊Q₈	—	2	2	no	—
118	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
119	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
120	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
121	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
122	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
123	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
124	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
125	C₁₁×#126	—	2	2	no	—
126	C₁₁×#126	—	2	2	no	—
127	C₁₁×#126	—	2	2	no	—
128	C₁₁×#125	—	2	2	no	—
129	C₁₁×#125	—	2	2	no	—
130	C₁₁×#125	—	2	4	no	—
131	C₁₁×#125	—	2	1	no	—
132	C₁₁×#125	—	2	1	no	—
133	C₁₁×#125	—	2	2	no	—
134	C₁₁×#125	C₂³	1	2	yes	—
135	C₁₁×#124	—	2	2	no	—
136	C₁₁×#124	C₂³	1	2	yes	—
137	C₁₁×#123	—	2	2	no	—
138	C₁₁×#123	—	2	2	no	—
139	C₁₁×#123	—	2	2	no	—
140	C₁₁×#123	—	2	2	no	—
141	C₁₁×C₂²⋊Q₈	—	2	1	no	—
142	C₁₁×C₂²⋊Q₈	—	2	1	no	—
143	C₁₁×C₂²⋊Q₈	—	2	1	no	—
144	C₁₁×C₂²⋊Q₈	—	2	1	no	—
145	C₁₁×C₂²⋊Q₈	—	2	2	no	—
146	C₁₁×C₂²⋊Q₈	—	2	2	no	—
147	C₁₁×C₂²⋊Q₈	—	2	4	no	—
148	C₁₁×C₂²⋊Q₈	—	2	4	no	—
149	C₁₁×C₂²⋊Q₈	—	2	4	no	—
150	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
151	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
152	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
153	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
154	C₁₁×#121	—	2	1	no	—
155	C₁₁×#121	—	2	1	no	—
156	C₁₁×#121	—	2	2	no	—
157	C₁₁×#121	C₂³	1	2	yes	—
158	C₁₁×#120	—	2	2	no	—
159	C₄×Q₈×C₁₁	—	2	2	no	—
160	C₄×Q₈×C₁₁	—	2	1	no	—
161	C₄×Q₈×C₁₁	—	2	1	no	—
162	C₄×Q₈×C₁₁	—	2	2	no	—
163	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
164	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
165	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
166	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
167	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
168	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
169	C₄×D₄×C₁₁	—	2	4	no	—
170	C₄×D₄×C₁₁	—	2	2	no	—
171	C₄×D₄×C₁₁	—	2	2	no	—
172	C₄×D₄×C₁₁	—	2	2	no	—
173	C₄×D₄×C₁₁	—	2	2	no	—
174	C₄×D₄×C₁₁	—	2	1	no	—
175	C₄×D₄×C₁₁	—	2	1	no	—
176	C₄×D₄×C₁₁	D₄	1	2	yes	—
177	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
178	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
179	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
180	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
181	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
182	C₄×D₄×C₁₁	C₂³	1	2	yes	—
183	C₄×D₄×C₁₁	C₂³	1	2	yes	—
184	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
185	C₁₁×#117	—	2	1	no	—
186	C₁₁×#117	—	2	1	no	—
187	C₁₁×#117	—	2	2	no	—
188	C₁₁×#117	—	2	1	no	—
189	C₁₁×#117	—	2	1	no	—
190	C₁₁×#117	—	2	2	no	—
191	C₁₁×#117	—	2	2	no	—
192	C₁₁×#117	—	2	2	no	—
193	C₁₁×#117	D₄	1	1	yes	characteristic
194	C₁₁×#117	D₄	1	2	yes	—
195	C₁₁×#117	C₂³	1	2	yes	—
196	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
197	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
198	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
199	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
200	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
201	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
202	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
204	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
205	C₂×C₄²×C₁₁	—	2	2	no	—
206	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
208	C₁₁×#107	C₂³	1	4	yes	—
209	C₁₁×#106	C₂³	1	2	yes	—
210	C₁₁×#106	C₂³	1	2	yes	—
211	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
212	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
213	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
214	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
215	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
216	C₁₁×#103	C₂³	1	2	yes	—
217	C₁₁×#103	C₂³	1	4	yes	—
218	C₁₁×#103	C₂³	1	4	yes	—
219	C₁₁×#103	C₂³	1	4	yes	—
220	C₁₁×#103	C₂³	1	4	yes	—
221	C₁₁×#103	C₂³	1	2	yes	—
222	C₁₁×#103	C₂³	1	4	yes	—
223	C₁₁×#103	C₂³	1	4	yes	—
224	C₁₁×#102	C₂³	1	2	yes	—
225	C₁₁×#102	C₂³	1	2	yes	—
226	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
227	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
228	C₁₁×#97	C₂³	1	4	yes	—
229	C₄×C₈×C₁₁	C₂³	1	2	yes	—
230	#61960	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
231	C₂⁴×C₁₁	—	2	1	no	—
232	C₁₁×#41	—	2	4	no	—
233	C₁₁×#41	—	2	4	no	—
234	C₁₁×#41	—	4	2	no	—
235	C₂×Q₈×C₁₁	—	2	1	no	—
236	C₂×Q₈×C₁₁	—	2	1	no	—
237	C₂×Q₈×C₁₁	—	2	4	no	—
238	C₂×Q₈×C₁₁	—	2	2	no	—
239	C₂×Q₈×C₁₁	—	4	2	no	—
240	C₂×Q₈×C₁₁	—	4	4	no	—
241	C₂×Q₈×C₁₁	—	4	2	no	—
242	C₂×Q₈×C₁₁	—	4	4	no	—
243	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
244	C₂×Q₈×C₁₁	C₂⁴	1	4	yes	—
245	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
246	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
247	C₂×D₄×C₁₁	—	2	2	no	—
248	C₂×D₄×C₁₁	—	2	2	no	—
249	C₂×D₄×C₁₁	—	2	2	no	—
250	C₂×D₄×C₁₁	—	2	1	no	—
251	C₂×D₄×C₁₁	—	4	1	no	—
252	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
253	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
254	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
255	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
256	C₂²×C₄×C₁₁	—	2	1	no	—
257	C₂²×C₄×C₁₁	—	2	4	no	—
258	C₂²×C₄×C₁₁	—	2	2	no	—
259	C₂²×C₄×C₁₁	—	2	1	no	—
260	C₂²×C₄×C₁₁	—	2	2	no	—
261	C₂²×C₄×C₁₁	—	2	1	no	—
262	C₂²×C₄×C₁₁	—	2	1	no	—
263	C₂²×C₄×C₁₁	—	2	1	no	—
264	C₂²×C₄×C₁₁	—	2	2	no	—
265	C₂²×C₄×C₁₁	—	4	4	no	—
266	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
267	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
268	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
269	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
270	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
271	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
272	C₁₁×Q₁₆	—	4	4	no	—
273	C₁₁×Q₁₆	—	4	4	no	—
274	C₁₁×Q₁₆	—	4	4	no	—
275	C₁₁×SD₁₆	—	2	8	no	—
276	C₁₁×SD₁₆	—	2	4	no	—
277	C₁₁×SD₁₆	—	4	4	no	—
278	C₁₁×SD₁₆	—	4	2	no	—
279	C₁₁×M₁₆	—	4	4	no	—
280	C₂×C₈×C₁₁	—	4	2	no	—
281	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
282	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
283	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
284	C₁₁×C₄⋊C₄	—	2	2	no	—
285	C₁₁×C₄⋊C₄	—	2	1	no	—
286	C₁₁×C₄⋊C₄	—	2	2	no	—
287	C₁₁×C₄⋊C₄	—	2	1	no	—
288	C₁₁×C₄⋊C₄	—	2	1	no	—
289	C₁₁×C₄⋊C₄	—	2	1	no	—
290	C₁₁×C₄⋊C₄	—	2	2	no	—
291	C₁₁×C₄⋊C₄	—	2	2	no	—
292	C₁₁×C₄⋊C₄	—	2	4	no	—
293	C₁₁×C₄⋊C₄	—	2	2	no	—
294	C₁₁×C₄⋊C₄	—	2	4	no	—
295	C₁₁×C₄⋊C₄	—	2	2	no	—
296	C₁₁×C₄⋊C₄	—	2	1	no	—
297	C₁₁×C₄⋊C₄	—	2	1	no	—
298	C₁₁×C₄⋊C₄	—	2	2	no	—
299	C₁₁×C₄⋊C₄	—	2	2	no	—
300	C₁₁×C₄⋊C₄	—	2	2	no	—
301	C₁₁×C₄⋊C₄	—	2	2	no	—
302	C₁₁×C₄⋊C₄	—	2	4	no	—
303	C₁₁×C₄⋊C₄	—	2	2	no	—
304	C₁₁×C₄⋊C₄	—	2	1	no	—
305	C₁₁×C₄⋊C₄	—	2	4	no	—
306	C₁₁×C₄⋊C₄	—	2	2	no	—
307	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
308	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
309	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
310	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
311	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
312	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
313	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
314	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
315	C₁₁×C₂²⋊C₄	—	2	2	no	—
316	C₁₁×C₂²⋊C₄	—	2	4	no	—
317	C₁₁×C₂²⋊C₄	—	2	2	no	—
318	C₁₁×C₂²⋊C₄	—	2	2	no	—
319	C₁₁×C₂²⋊C₄	—	2	2	no	—
320	C₁₁×C₂²⋊C₄	—	2	1	no	—
321	C₁₁×C₂²⋊C₄	—	2	2	no	—
322	C₁₁×C₂²⋊C₄	—	2	2	no	—
323	C₁₁×C₂²⋊C₄	—	2	1	no	—
324	C₁₁×C₂²⋊C₄	—	2	1	no	—
325	C₁₁×C₂²⋊C₄	—	2	1	no	—
326	C₁₁×C₂²⋊C₄	—	2	2	no	—
327	C₁₁×C₂²⋊C₄	—	2	2	no	—
328	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
329	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
330	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
331	C₄²×C₁₁	—	2	2	no	—
332	C₄²×C₁₁	—	2	2	no	—
333	C₄²×C₁₁	—	2	2	no	—
334	C₄²×C₁₁	—	2	4	no	—
335	C₄²×C₁₁	—	2	2	no	—
336	C₄²×C₁₁	C₂×D₄	1	2	yes	—
337	C₄²×C₁₁	C₂×D₄	1	2	yes	—
338	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
339	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
340	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
341	C₄²×C₁₁	C₂⁴	1	2	yes	—
342	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
343	#3503	C₂×C₁₁	1	1	yes	characteristic, complemented
344	#3475	C₂×C₁₁	1	1	yes	characteristic
345	#3398	C₂×C₁₁	1	2	yes	complemented
346	#3372	C₂×C₁₁	1	2	yes	complemented
347	#3329	C₂×C₁₁	1	2	yes	complemented
348	#3312	C₂×C₁₁	1	4	yes	complemented
349	#3276	C₂×C₁₁	1	2	yes	complemented
350	#3266	C₂×C₁₁	1	4	yes	complemented
351	#3252	C₂×C₁₁	1	2	yes	complemented
352	#3249	C₂×C₁₁	1	1	yes	characteristic, complemented
353	#3218	C₂×C₁₁	1	2	yes	complemented
354	#3209	C₂×C₁₁	1	1	yes	characteristic, complemented
355	#3116	C₂×C₁₁	1	2	yes	complemented
356	#3101	C₂×C₁₁	1	1	yes	characteristic, complemented
357	#3039	C₂×C₁₁	1	2	yes	complemented
358	C₂×#461	C₂×C₁₁	1	1	yes	characteristic, complemented
359	#2989	C₂×C₁₁	1	1	yes	characteristic, complemented
360	C₂³×C₁₁	—	2	1	no	—
361	C₂³×C₁₁	—	2	1	no	—
362	C₂³×C₁₁	—	4	2	no	—
363	C₂³×C₁₁	—	4	2	no	—
364	C₂³×C₁₁	—	8	1	no	—
365	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
366	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
367	Q₈×C₁₁	—	2	2	no	—
368	Q₈×C₁₁	—	2	4	no	—
369	Q₈×C₁₁	—	2	2	no	—
370	Q₈×C₁₁	—	2	2	no	—
371	Q₈×C₁₁	—	2	2	no	—
372	Q₈×C₁₁	—	2	2	no	—
373	Q₈×C₁₁	—	2	4	no	—
374	Q₈×C₁₁	—	4	2	no	—
375	Q₈×C₁₁	—	8	1	no	—
376	Q₈×C₁₁	—	8	4	no	—
377	Q₈×C₁₁	—	8	2	no	—
378	D₄×C₁₁	—	2	4	no	—
379	D₄×C₁₁	—	2	2	no	—
380	D₄×C₁₁	—	2	1	no	—
381	D₄×C₁₁	—	2	1	no	—
382	D₄×C₁₁	—	2	1	no	—
383	D₄×C₁₁	—	4	2	no	—
384	D₄×C₁₁	—	4	4	no	—
385	D₄×C₁₁	—	8	2	no	—
386	D₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
387	C₂×C₄×C₁₁	—	2	4	no	—
388	C₂×C₄×C₁₁	—	2	1	no	—
389	C₂×C₄×C₁₁	—	2	2	no	—
390	C₂×C₄×C₁₁	—	2	1	no	—
391	C₂×C₄×C₁₁	—	2	2	no	—
392	C₂×C₄×C₁₁	—	2	1	no	—
393	C₂×C₄×C₁₁	—	2	2	no	—
394	C₂×C₄×C₁₁	—	2	2	no	—
395	C₂×C₄×C₁₁	—	2	2	no	—
396	C₂×C₄×C₁₁	—	2	4	no	—
397	C₂×C₄×C₁₁	—	2	2	no	—
398	C₂×C₄×C₁₁	—	2	1	no	—
399	C₂×C₄×C₁₁	—	4	2	no	—
400	C₂×C₄×C₁₁	—	4	1	no	—
401	C₂×C₄×C₁₁	—	4	4	no	—
402	C₂×C₄×C₁₁	—	4	2	no	—
403	C₂×C₄×C₁₁	—	4	2	no	—
404	C₂×C₄×C₁₁	—	4	2	no	—
405	C₂×C₄×C₁₁	—	4	2	no	—
406	C₂×C₄×C₁₁	—	4	2	no	—
407	C₂×C₄×C₁₁	—	8	2	no	—
408	C₂×C₄×C₁₁	—	8	2	no	—
409	C₂×C₄×C₁₁	—	8	4	no	—
410	C₂×C₄×C₁₁	#137	1	4	yes	complemented
411	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
412	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
413	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
414	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
415	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
416	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
417	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
418	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
419	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
420	C₈×C₁₁	—	2	4	no	—
421	C₈×C₁₁	—	2	2	no	—
422	C₈×C₁₁	—	2	2	no	—
423	C₂×#137	C₂²×C₁₁	1	4	yes	—
424	C₂²×SD₁₆	C₂²×C₁₁	1	2	yes	—
425	Q₈²	—	2	1	no	—
426	#557	C₂²×C₁₁	1	2	yes	complemented
427	#556	C₂²×C₁₁	1	1	yes	characteristic
428	#555	C₂²×C₁₁	1	1	yes	characteristic
429	#554	—	2	2	no	—
430	#554	—	2	1	no	—
431	#554	C₂²×C₁₁	1	1	yes	characteristic
432	#553	—	2	1	no	—
433	#552	—	2	1	no	—
434	#552	C₂²×C₁₁	1	2	yes	—
435	#551	—	2	2	no	—
436	D₄×Q₈	C₂²×C₁₁	1	4	yes	—
437	D₄×Q₈	C₂²×C₁₁	1	2	yes	complemented
438	#547	C₂²×C₁₁	1	1	yes	characteristic
439	#546	C₂²×C₁₁	1	2	yes	—
440	#544	—	2	1	no	—
441	#544	—	2	2	no	—
442	#533	C₂²×C₁₁	1	1	yes	characteristic
443	#533	C₂²×C₁₁	1	1	yes	characteristic
444	#533	C₂²×C₁₁	1	2	yes	complemented
445	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
446	C₂×C₄⋊Q₈	C₂²×C₁₁	1	2	yes	complemented
447	#529	—	2	2	no	—
448	#529	C₂²×C₁₁	1	2	yes	—
449	#525	—	2	1	no	—
450	#520	—	2	1	no	—
451	C₄×#41	C₂²×C₁₁	1	2	yes	—
452	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
453	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
454	C₂×#117	—	2	1	no	—
455	#497	C₂²×C₁₁	1	4	yes	—
456	#494	C₂²×C₁₁	1	2	yes	complemented
457	#491	C₂²×C₁₁	1	4	yes	complemented
458	#487	C₂²×C₁₁	1	2	yes	complemented
459	#485	C₂²×C₁₁	1	4	yes	complemented
460	#483	C₂²×C₁₁	1	2	yes	—
461	#479	C₂²×C₁₁	1	4	yes	complemented
462	#477	C₂²×C₁₁	1	2	yes	complemented
463	#477	C₂²×C₁₁	1	2	yes	complemented
464	#476	C₂²×C₁₁	1	1	yes	characteristic
465	#476	C₂²×C₁₁	1	1	yes	characteristic
466	#470	C₂²×C₁₁	1	4	yes	complemented
467	#468	C₂²×C₁₁	1	4	yes	—
468	#467	C₂²×C₁₁	1	4	yes	—
469	#464	C₂²×C₁₁	1	4	yes	—
470	#462	C₂²×C₁₁	1	2	yes	complemented
471	#462	C₂²×C₁₁	1	2	yes	complemented
472	#462	C₂²×C₁₁	1	4	yes	complemented
473	#462	C₂²×C₁₁	1	2	yes	complemented
474	#462	C₂²×C₁₁	1	2	yes	complemented
475	#461	C₂²×C₁₁	1	2	yes	—
476	#461	C₂²×C₁₁	1	1	yes	characteristic
477	#461	C₂²×C₁₁	1	1	yes	characteristic
478	#461	C₂²×C₁₁	1	2	yes	—
479	#461	C₂²×C₁₁	1	4	yes	—
480	#461	C₂²×C₁₁	1	2	yes	—
481	#461	C₂²×C₁₁	1	2	yes	—
482	#452	C₂²×C₁₁	1	4	yes	—
483	#451	C₂²×C₁₁	1	4	yes	—
484	#451	C₂²×C₁₁	1	4	yes	complemented
485	#450	C₂²×C₁₁	1	2	yes	—
486	#448	C₂²×C₁₁	1	4	yes	—
487	#446	C₂²×C₁₁	1	2	yes	complemented
488	#441	C₂²×C₁₁	1	4	yes	complemented
489	#440	C₂²×C₁₁	1	4	yes	—
490	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
491	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
492	#436	C₂²×C₁₁	1	2	yes	complemented
493	#435	C₂²×C₁₁	1	4	yes	—
494	#432	C₂²×C₁₁	1	2	yes	complemented
495	#431	C₂²×C₁₁	1	1	yes	characteristic
496	#423	C₂²×C₁₁	1	2	yes	complemented
497	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
498	#419	C₂²×C₁₁	1	4	yes	complemented
499	C₂×#103	C₂²×C₁₁	1	2	yes	—
500	C₂²×C₁₁	—	2	1	no	—
501	C₂²×C₁₁	—	2	1	no	—
502	C₂²×C₁₁	—	2	2	no	—
503	C₂²×C₁₁	—	2	2	no	—
504	C₂²×C₁₁	—	2	2	no	—
505	C₂²×C₁₁	—	2	2	no	—
506	C₂²×C₁₁	—	4	1	no	—
507	C₂²×C₁₁	—	4	1	no	—
508	C₂²×C₁₁	—	4	1	no	—
509	C₂²×C₁₁	—	4	1	no	—
510	C₂²×C₁₁	—	4	1	no	—
511	C₂²×C₁₁	—	8	4	no	—
512	C₂²×C₁₁	C₂×#137	1	2	yes	—
513	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
514	C₄×C₁₁	—	2	1	no	—
515	C₄×C₁₁	—	2	2	no	—
516	C₄×C₁₁	—	2	1	no	—
517	C₄×C₁₁	—	2	2	no	—
518	C₄×C₁₁	—	2	1	no	—
519	C₄×C₁₁	—	2	2	no	—
520	C₄×C₁₁	—	4	2	no	—
521	C₄×C₁₁	—	4	2	no	—
522	C₄×C₁₁	—	4	2	no	—
523	C₄×C₁₁	—	4	4	no	—
524	C₄×C₁₁	—	4	2	no	—
525	C₄×C₁₁	—	4	1	no	—
526	C₄×C₁₁	—	4	1	no	—
527	C₄×C₁₁	C₂×#137	1	2	yes	—
528	C₄×C₁₁	C₂×#137	1	2	yes	—
529	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
530	C₄×C₁₁	#585	1	1	yes	characteristic
531	C₂×#41	D₄×C₁₁	1	1	yes	characteristic
532	C₂×#41	C₂³×C₁₁	1	2	yes	—
533	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
534	C₂²×Q₈	C₂³×C₁₁	1	4	yes	—
535	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
536	C₂³×C₄	—	2	1	no	—
537	#137	—	4	8	no	—
538	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
539	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
540	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
541	C₂×SD₁₆	—	4	4	no	—
542	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
543	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
544	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
545	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
546	C₂×M₁₆	C₂³×C₁₁	1	4	yes	—
547	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
548	C₄⋊Q₈	—	2	4	no	—
549	C₄⋊Q₈	—	2	2	no	—
550	C₄⋊Q₈	—	2	1	no	—
551	C₄⋊Q₈	—	2	1	no	—
552	C₄⋊Q₈	—	2	2	no	—
553	C₄⋊Q₈	—	2	2	no	—
554	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
555	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
556	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
557	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
558	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
559	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
560	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
561	#126	—	2	2	no	—
562	#126	—	2	2	no	—
563	#126	—	2	2	no	—
564	#125	—	2	2	no	—
565	#125	—	2	2	no	—
566	#125	—	2	4	no	—
567	#125	—	2	1	no	—
568	#125	—	2	1	no	—
569	#125	—	2	2	no	—
570	#125	C₂³×C₁₁	1	2	yes	—
571	#124	—	2	2	no	—
572	#124	C₂³×C₁₁	1	2	yes	—
573	#123	—	2	2	no	—
574	#123	—	2	2	no	—
575	#123	—	2	2	no	—
576	#123	—	2	2	no	—
577	C₂²⋊Q₈	—	2	1	no	—
578	C₂²⋊Q₈	—	2	1	no	—
579	C₂²⋊Q₈	—	2	1	no	—
580	C₂²⋊Q₈	—	2	1	no	—
581	C₂²⋊Q₈	—	2	2	no	—
582	C₂²⋊Q₈	—	2	2	no	—
583	C₂²⋊Q₈	—	2	4	no	—
584	C₂²⋊Q₈	—	2	4	no	—
585	C₂²⋊Q₈	—	2	4	no	—
586	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
587	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
588	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
589	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
590	#121	—	2	1	no	—
591	#121	—	2	1	no	—
592	#121	—	2	2	no	—
593	#121	C₂³×C₁₁	1	2	yes	—
594	#120	—	2	2	no	—
595	C₄×Q₈	—	2	2	no	—
596	C₄×Q₈	—	2	1	no	—
597	C₄×Q₈	—	2	1	no	—
598	C₄×Q₈	—	2	2	no	—
599	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
600	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
601	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
602	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
603	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
604	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
605	C₄×D₄	—	2	4	no	—
606	C₄×D₄	—	2	2	no	—
607	C₄×D₄	—	2	2	no	—
608	C₄×D₄	—	2	2	no	—
609	C₄×D₄	—	2	2	no	—
610	C₄×D₄	—	2	1	no	—
611	C₄×D₄	—	2	1	no	—
612	C₄×D₄	D₄×C₁₁	1	2	yes	—
613	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
614	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
615	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
616	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
617	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
618	C₄×D₄	C₂³×C₁₁	1	2	yes	—
619	C₄×D₄	C₂³×C₁₁	1	2	yes	—
620	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
621	#117	—	2	1	no	—
622	#117	—	2	1	no	—
623	#117	—	2	2	no	—
624	#117	—	2	1	no	—
625	#117	—	2	1	no	—
626	#117	—	2	2	no	—
627	#117	—	2	2	no	—
628	#117	—	2	2	no	—
629	#117	D₄×C₁₁	1	1	yes	characteristic
630	#117	D₄×C₁₁	1	2	yes	—
631	#117	C₂³×C₁₁	1	2	yes	—
632	C₂×C₄⋊C₄	—	2	1	no	—
633	C₂×C₄⋊C₄	—	2	2	no	—
634	C₂×C₄⋊C₄	—	2	1	no	—
635	C₂×C₄⋊C₄	—	2	2	no	—
636	C₂×C₄⋊C₄	—	2	1	no	—
637	C₂×C₄⋊C₄	—	2	1	no	—
638	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
639	C₂×C₂²⋊C₄	—	2	1	no	—
640	C₂×C₂²⋊C₄	—	2	2	no	—
641	C₂×C₄²	—	2	2	no	—
642	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
643	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
644	#107	C₂³×C₁₁	1	4	yes	—
645	#106	C₂³×C₁₁	1	2	yes	—
646	#106	C₂³×C₁₁	1	2	yes	—
647	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
648	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
649	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
650	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
651	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
652	#103	C₂³×C₁₁	1	4	yes	—
653	#103	C₂³×C₁₁	1	4	yes	—
654	#103	C₂³×C₁₁	1	2	yes	—
655	#103	C₂³×C₁₁	1	4	yes	—
656	#103	C₂³×C₁₁	1	4	yes	—
657	#103	C₂³×C₁₁	1	2	yes	—
658	#103	C₂³×C₁₁	1	4	yes	—
659	#103	C₂³×C₁₁	1	4	yes	—
660	#102	C₂³×C₁₁	1	2	yes	—
661	#102	C₂³×C₁₁	1	2	yes	—
662	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
663	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
664	#97	C₂³×C₁₁	1	4	yes	—
665	C₄×C₈	C₂³×C₁₁	1	2	yes	—
666	C₂×C₁₁	—	2	2	no	—
667	C₂×C₁₁	—	4	2	no	—
668	C₂×C₁₁	—	4	2	no	—
669	C₂×C₁₁	—	8	1	no	—
670	C₂×C₁₁	#3488	1	1	yes	characteristic
671	C₂×C₁₁	C₂²×#137	1	1	yes	characteristic
672	C₂×C₁₁	#3586	1	1	yes	characteristic
673	C₂⁴	—	2	1	no	—
674	#41	—	2	4	no	—
675	#41	—	2	4	no	—
676	#41	—	4	2	no	—
677	C₂×Q₈	—	2	1	no	—
678	C₂×Q₈	—	2	1	no	—
679	C₂×Q₈	—	2	4	no	—
680	C₂×Q₈	—	2	2	no	—
681	C₂×Q₈	—	4	2	no	—
682	C₂×Q₈	—	4	4	no	—
683	C₂×Q₈	—	4	2	no	—
684	C₂×Q₈	—	4	4	no	—
685	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
686	C₂×Q₈	C₂⁴×C₁₁	1	4	yes	—
687	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
688	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
689	C₂×D₄	—	2	2	no	—
690	C₂×D₄	—	2	2	no	—
691	C₂×D₄	—	2	2	no	—
692	C₂×D₄	—	2	1	no	—
693	C₂×D₄	—	4	1	no	—
694	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
695	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
696	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
697	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
698	C₂²×C₄	—	2	1	no	—
699	C₂²×C₄	—	2	4	no	—
700	C₂²×C₄	—	2	2	no	—
701	C₂²×C₄	—	2	1	no	—
702	C₂²×C₄	—	2	2	no	—
703	C₂²×C₄	—	2	1	no	—
704	C₂²×C₄	—	2	1	no	—
705	C₂²×C₄	—	2	1	no	—
706	C₂²×C₄	—	2	2	no	—
707	C₂²×C₄	—	4	4	no	—
708	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
709	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
710	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
711	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
712	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
713	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
714	Q₁₆	—	4	4	no	—
715	Q₁₆	—	4	4	no	—
716	Q₁₆	—	4	4	no	—
717	SD₁₆	—	2	8	no	—
718	SD₁₆	—	2	4	no	—
719	SD₁₆	—	4	4	no	—
720	SD₁₆	—	4	2	no	—
721	M₁₆	—	4	4	no	—
722	C₂×C₈	—	4	2	no	—
723	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
724	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
725	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
726	C₄⋊C₄	—	2	2	no	—
727	C₄⋊C₄	—	2	1	no	—
728	C₄⋊C₄	—	2	2	no	—
729	C₄⋊C₄	—	2	1	no	—
730	C₄⋊C₄	—	2	1	no	—
731	C₄⋊C₄	—	2	1	no	—
732	C₄⋊C₄	—	2	2	no	—
733	C₄⋊C₄	—	2	2	no	—
734	C₄⋊C₄	—	2	4	no	—
735	C₄⋊C₄	—	2	2	no	—
736	C₄⋊C₄	—	2	4	no	—
737	C₄⋊C₄	—	2	2	no	—
738	C₄⋊C₄	—	2	1	no	—
739	C₄⋊C₄	—	2	1	no	—
740	C₄⋊C₄	—	2	2	no	—
741	C₄⋊C₄	—	2	2	no	—
742	C₄⋊C₄	—	2	2	no	—
743	C₄⋊C₄	—	2	2	no	—
744	C₄⋊C₄	—	2	4	no	—
745	C₄⋊C₄	—	2	2	no	—
746	C₄⋊C₄	—	2	1	no	—
747	C₄⋊C₄	—	2	4	no	—
748	C₄⋊C₄	—	2	2	no	—
749	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
750	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
751	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
752	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
753	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
754	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
755	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
756	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
757	C₂²⋊C₄	—	2	2	no	—
758	C₂²⋊C₄	—	2	4	no	—
759	C₂²⋊C₄	—	2	2	no	—
760	C₂²⋊C₄	—	2	2	no	—
761	C₂²⋊C₄	—	2	2	no	—
762	C₂²⋊C₄	—	2	1	no	—
763	C₂²⋊C₄	—	2	2	no	—
764	C₂²⋊C₄	—	2	2	no	—
765	C₂²⋊C₄	—	2	1	no	—
766	C₂²⋊C₄	—	2	1	no	—
767	C₂²⋊C₄	—	2	1	no	—
768	C₂²⋊C₄	—	2	2	no	—
769	C₂²⋊C₄	—	2	2	no	—
770	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
771	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
772	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
773	C₄²	—	2	2	no	—
774	C₄²	—	2	2	no	—
775	C₄²	—	2	2	no	—
776	C₄²	—	2	4	no	—
777	C₄²	—	2	2	no	—
778	C₄²	C₂×D₄×C₁₁	1	2	yes	—
779	C₄²	C₂×D₄×C₁₁	1	2	yes	—
780	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
781	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
782	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
783	C₄²	C₂⁴×C₁₁	1	2	yes	—
784	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
785	C₁₁	#61960	1	1	yes	characteristic, direct product factor, Sylow
786	C₂³	—	2	1	no	—
787	C₂³	—	2	1	no	—
788	C₂³	—	4	2	no	—
789	C₂³	—	4	2	no	—
790	C₂³	—	8	1	no	—
791	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
792	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
793	Q₈	—	2	2	no	—
794	Q₈	—	2	4	no	—
795	Q₈	—	2	2	no	—
796	Q₈	—	2	2	no	—
797	Q₈	—	2	2	no	—
798	Q₈	—	2	2	no	—
799	Q₈	—	2	4	no	—
800	Q₈	—	4	2	no	—
801	Q₈	—	8	1	no	—
802	Q₈	—	8	4	no	—
803	Q₈	—	8	2	no	—
804	D₄	—	2	4	no	—
805	D₄	—	2	2	no	—
806	D₄	—	2	1	no	—
807	D₄	—	2	1	no	—
808	D₄	—	2	1	no	—
809	D₄	—	4	2	no	—
810	D₄	—	4	4	no	—
811	D₄	—	8	2	no	—
812	D₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
813	C₂×C₄	—	2	4	no	—
814	C₂×C₄	—	2	1	no	—
815	C₂×C₄	—	2	2	no	—
816	C₂×C₄	—	2	1	no	—
817	C₂×C₄	—	2	2	no	—
818	C₂×C₄	—	2	1	no	—
819	C₂×C₄	—	2	2	no	—
820	C₂×C₄	—	2	2	no	—
821	C₂×C₄	—	2	2	no	—
822	C₂×C₄	—	2	4	no	—
823	C₂×C₄	—	2	2	no	—
824	C₂×C₄	—	2	1	no	—
825	C₂×C₄	—	4	2	no	—
826	C₂×C₄	—	4	1	no	—
827	C₂×C₄	—	4	4	no	—
828	C₂×C₄	—	4	2	no	—
829	C₂×C₄	—	4	2	no	—
830	C₂×C₄	—	4	2	no	—
831	C₂×C₄	—	4	2	no	—
832	C₂×C₄	—	4	2	no	—
833	C₂×C₄	—	8	2	no	—
834	C₂×C₄	—	8	2	no	—
835	C₂×C₄	—	8	4	no	—
836	C₂×C₄	C₁₁×#137	1	4	yes	complemented
837	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
838	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
839	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
840	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
841	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
842	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
843	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
844	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
845	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
846	C₈	—	2	4	no	—
847	C₈	—	2	2	no	—
848	C₈	—	2	2	no	—
849	C₂²	—	2	1	no	—
850	C₂²	—	2	1	no	—
851	C₂²	—	2	2	no	—
852	C₂²	—	2	2	no	—
853	C₂²	—	2	2	no	—
854	C₂²	—	2	2	no	—
855	C₂²	—	4	1	no	—
856	C₂²	—	4	1	no	—
857	C₂²	—	4	1	no	—
858	C₂²	—	4	1	no	—
859	C₂²	—	4	1	no	—
860	C₂²	—	8	4	no	—
861	C₂²	C₂×C₁₁×#137	1	2	yes	—
862	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
863	C₄	—	2	2	no	—
864	C₄	—	2	1	no	—
865	C₄	—	2	2	no	—
866	C₄	—	2	1	no	—
867	C₄	—	2	2	no	—
868	C₄	—	2	1	no	—
869	C₄	—	4	2	no	—
870	C₄	—	4	4	no	—
871	C₄	—	4	2	no	—
872	C₄	—	4	1	no	—
873	C₄	—	4	1	no	—
874	C₄	—	4	2	no	—
875	C₄	—	4	2	no	—
876	C₄	C₂×C₁₁×#137	1	2	yes	—
877	C₄	C₂×C₁₁×#137	1	2	yes	—
878	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
879	C₄	C₁₁×#585	1	1	yes	characteristic
880	C₂	—	2	2	no	—
881	C₂	—	4	2	no	—
882	C₂	—	4	2	no	—
883	C₂	—	8	1	no	—
884	C₂	C₁₁×#3488	1	1	yes	characteristic
885	C₂	C₂²×C₁₁×#137	1	1	yes	characteristic
886	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×#3475	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₄×C₁₁×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3503	C₂	semidirect
3. C₁₁×#3398	C₂	semidirect
4. C₁₁×#3372	C₂	semidirect
5. C₁₁×#3329	C₂	semidirect
6. C₁₁×#3312	C₂	semidirect
7. C₁₁×#3276	C₂	semidirect
8. C₁₁×#3266	C₂	semidirect
9. C₁₁×#3252	C₂	semidirect
10. C₁₁×#3249	C₂	semidirect
11. C₁₁×#3218	C₂	semidirect
12. C₁₁×#3209	C₂	semidirect
13. C₁₁×#3116	C₂	semidirect
14. C₁₁×#3101	C₂	semidirect
15. C₁₁×#3039	C₂	semidirect
16. C₂×C₁₁×#461	C₂	semidirect
17. C₁₁×#2989	C₂	semidirect
21. C₁₁×#557	C₂²	semidirect
32. D₄×Q₈×C₁₁	C₂²	semidirect
39. C₁₁×#533	C₂²	semidirect
41. C₂×C₁₁×C₄⋊Q₈	C₂²	semidirect
51. C₁₁×#494	C₂²	semidirect
52. C₁₁×#491	C₂²	semidirect
53. C₁₁×#487	C₂²	semidirect
54. C₁₁×#485	C₂²	semidirect
56. C₁₁×#479	C₂²	semidirect
57. C₁₁×#477	C₂²	semidirect
58. C₁₁×#477	C₂²	semidirect
61. C₁₁×#470	C₂²	semidirect
65. C₁₁×#462	C₂²	semidirect
66. C₁₁×#462	C₂²	semidirect
67. C₁₁×#462	C₂²	semidirect
68. C₁₁×#462	C₂²	semidirect
69. C₁₁×#462	C₂²	semidirect
79. C₁₁×#451	C₂²	semidirect
82. C₁₁×#446	C₂²	semidirect
83. C₁₁×#441	C₂²	semidirect
87. C₁₁×#436	C₂²	semidirect
89. C₁₁×#432	C₂²	semidirect
91. C₁₁×#423	C₂²	semidirect
93. C₁₁×#419	C₂²	semidirect
230. #61960	C₁₁	direct (N × H)
343. #3503	C₂×C₁₁	semidirect
345. #3398	C₂×C₁₁	semidirect
346. #3372	C₂×C₁₁	semidirect
347. #3329	C₂×C₁₁	semidirect
348. #3312	C₂×C₁₁	semidirect
349. #3276	C₂×C₁₁	semidirect
350. #3266	C₂×C₁₁	semidirect
351. #3252	C₂×C₁₁	semidirect
352. #3249	C₂×C₁₁	semidirect
353. #3218	C₂×C₁₁	semidirect
354. #3209	C₂×C₁₁	semidirect
355. #3116	C₂×C₁₁	semidirect
356. #3101	C₂×C₁₁	semidirect
357. #3039	C₂×C₁₁	semidirect
358. C₂×#461	C₂×C₁₁	semidirect
359. #2989	C₂×C₁₁	semidirect
410. C₂×C₄×C₁₁	#137	semidirect
426. #557	C₂²×C₁₁	semidirect
437. D₄×Q₈	C₂²×C₁₁	semidirect
444. #533	C₂²×C₁₁	semidirect
446. C₂×C₄⋊Q₈	C₂²×C₁₁	semidirect
456. #494	C₂²×C₁₁	semidirect
457. #491	C₂²×C₁₁	semidirect
458. #487	C₂²×C₁₁	semidirect
459. #485	C₂²×C₁₁	semidirect
461. #479	C₂²×C₁₁	semidirect
462. #477	C₂²×C₁₁	semidirect
463. #477	C₂²×C₁₁	semidirect
466. #470	C₂²×C₁₁	semidirect
470. #462	C₂²×C₁₁	semidirect
471. #462	C₂²×C₁₁	semidirect
472. #462	C₂²×C₁₁	semidirect
473. #462	C₂²×C₁₁	semidirect
474. #462	C₂²×C₁₁	semidirect
484. #451	C₂²×C₁₁	semidirect
487. #446	C₂²×C₁₁	semidirect
488. #441	C₂²×C₁₁	semidirect
492. #436	C₂²×C₁₁	semidirect
494. #432	C₂²×C₁₁	semidirect
496. #423	C₂²×C₁₁	semidirect
498. #419	C₂²×C₁₁	semidirect
785. C₁₁	#61960	direct (N × H)
836. C₂×C₄	C₁₁×#137	semidirect

Maximal subgroups

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

subgroup	index
C₁₁×#3503	2
C₁₁×#3475	2
C₁₁×#3398	2
C₁₁×#3372	2
C₁₁×#3329	2
C₁₁×#3312	2
C₁₁×#3276	2
C₁₁×#3266	2
C₁₁×#3252	2
C₁₁×#3249	2
C₁₁×#3218	2
C₁₁×#3209	2
C₁₁×#3116	2
C₁₁×#3101	2
C₁₁×#3039	2
C₂×C₁₁×#461	2
C₁₁×#2989	2
#61960	11

Subgroups — C11×#61960 #14639153

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61960 #14639153