Subgroups — C₁₁×#61984 #14639177

Order 2816.

1820 conjugacy classes of subgroups.

The subgroup lattice has 870 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×#3482	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#3398	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3374	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3312	C₂	1	4	yes	maximal, complemented
6	C₁₁×#3298	C₂	1	2	yes	maximal, complemented
7	D₄×C₁₁×Q₁₆	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3270	C₂	1	4	yes	maximal, complemented
9	C₁₁×#3255	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3248	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3218	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3209	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3113	C₂	1	2	yes	maximal, complemented
14	C₁₁×#3107	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3039	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₁×#462	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2990	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×#137	C₂²	1	2	yes	—
19	C₂²×C₁₁×Q₁₆	C₂²	1	4	yes	—
20	Q₈²×C₁₁	—	2	1	no	—
21	C₁₁×#557	C₂²	1	2	yes	—
22	C₁₁×#557	C₂²	1	1	yes	characteristic
23	C₁₁×#556	—	2	1	no	—
24	C₁₁×#556	C₂²	1	1	yes	characteristic
25	C₁₁×#554	—	2	1	no	—
26	C₁₁×#554	—	2	2	no	—
27	C₁₁×#552	—	2	2	no	—
28	C₁₁×#552	C₂²	1	2	yes	—
29	D₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
30	D₄×Q₈×C₁₁	C₂²	1	4	yes	—
31	D₄×Q₈×C₁₁	C₂²	1	2	yes	—
32	C₁₁×#548	C₂²	1	2	yes	—
33	C₁₁×#547	—	2	1	no	—
34	C₁₁×#547	C₂²	1	1	yes	characteristic
35	C₁₁×#544	—	2	2	no	—
36	C₁₁×#544	—	2	1	no	—
37	C₁₁×#533	—	2	1	no	—
38	C₁₁×#533	C₂²	1	1	yes	characteristic
39	C₁₁×#533	C₂²	1	2	yes	—
40	C₁₁×#533	C₂²	1	1	yes	characteristic
41	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₁₁×C₄⋊Q₈	C₂²	1	2	yes	—
43	C₁₁×#529	—	2	2	no	—
44	C₁₁×#529	C₂²	1	2	yes	—
45	C₁₁×#520	—	2	1	no	—
46	C₄×C₁₁×#41	—	2	1	no	—
47	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
48	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
49	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	—
50	C₁₁×#497	C₂²	1	4	yes	—
51	C₁₁×#494	C₂²	1	2	yes	—
52	C₁₁×#491	C₂²	1	4	yes	—
53	C₁₁×#487	C₂²	1	2	yes	—
54	C₁₁×#485	C₂²	1	2	yes	—
55	C₁₁×#483	C₂²	1	4	yes	—
56	C₁₁×#479	C₂²	1	4	yes	—
57	C₁₁×#475	C₂²	1	2	yes	—
58	C₁₁×#475	C₂²	1	2	yes	—
59	C₁₁×#475	C₂²	1	1	yes	characteristic
60	C₁₁×#474	C₂²	1	1	yes	characteristic
61	C₁₁×#470	C₂²	1	4	yes	—
62	C₁₁×#467	C₂²	1	4	yes	—
63	C₁₁×#465	C₂²	1	4	yes	—
64	C₁₁×#464	C₂²	1	4	yes	—
65	C₁₁×#462	C₂²	1	2	yes	—
66	C₁₁×#462	C₂²	1	2	yes	—
67	C₁₁×#462	C₂²	1	2	yes	—
68	C₁₁×#462	C₂²	1	2	yes	—
69	C₁₁×#462	C₂²	1	4	yes	—
70	C₁₁×#462	C₂²	1	2	yes	—
71	C₁₁×#462	C₂²	1	1	yes	characteristic
72	C₁₁×#462	C₂²	1	2	yes	—
73	C₁₁×#462	C₂²	1	4	yes	—
74	C₁₁×#461	C₂²	1	1	yes	characteristic
75	C₁₁×#461	C₂²	1	2	yes	—
76	C₁₁×#461	C₂²	1	2	yes	—
77	C₁₁×#452	C₂²	1	2	yes	—
78	C₁₁×#451	C₂²	1	4	yes	—
79	C₁₁×#451	C₂²	1	4	yes	—
80	C₁₁×#451	C₂²	1	4	yes	—
81	C₁₁×#448	C₂²	1	4	yes	—
82	C₁₁×#446	C₂²	1	2	yes	—
83	C₁₁×#441	C₂²	1	4	yes	—
84	C₁₁×#441	C₂²	1	4	yes	—
85	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	—
86	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
87	C₁₁×#435	C₂²	1	4	yes	—
88	C₈×D₄×C₁₁	C₂²	1	2	yes	—
89	C₁₁×#432	C₂²	1	2	yes	—
90	C₁₁×#431	C₂²	1	1	yes	characteristic
91	C₁₁×#423	C₂²	1	1	yes	characteristic
92	C₂×C₁₁×C₄⋊C₈	C₂²	1	2	yes	—
93	C₁₁×#419	C₂²	1	2	yes	—
94	C₂×C₁₁×#103	C₂²	1	4	yes	—
95	C₂×C₁₁×#41	—	2	1	no	—
96	C₂×C₁₁×#41	D₄	1	1	yes	characteristic
97	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
98	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
99	C₂²×Q₈×C₁₁	C₂³	1	4	yes	—
100	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
101	C₁₁×#137	—	4	4	no	—
102	C₂×C₁₁×Q₁₆	—	4	8	no	—
103	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
104	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
105	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
106	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
107	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
108	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
109	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
110	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
111	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
112	C₁₁×C₄⋊Q₈	—	2	1	no	—
113	C₁₁×C₄⋊Q₈	—	2	1	no	—
114	C₁₁×C₄⋊Q₈	—	2	4	no	—
115	C₁₁×C₄⋊Q₈	—	2	2	no	—
116	C₁₁×C₄⋊Q₈	—	2	1	no	—
117	C₁₁×C₄⋊Q₈	—	2	2	no	—
118	C₁₁×C₄⋊Q₈	—	2	1	no	—
119	C₁₁×C₄⋊Q₈	—	2	2	no	—
120	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
121	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
122	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
123	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
124	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
125	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
126	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
127	C₁₁×#126	—	2	2	no	—
128	C₁₁×#126	—	2	2	no	—
129	C₁₁×#126	—	2	2	no	—
130	C₁₁×#125	—	2	2	no	—
131	C₁₁×#125	—	2	2	no	—
132	C₁₁×#125	—	2	2	no	—
133	C₁₁×#125	—	2	4	no	—
134	C₁₁×#125	—	2	1	no	—
135	C₁₁×#125	—	2	2	no	—
136	C₁₁×#125	—	2	1	no	—
137	C₁₁×#125	C₂³	1	2	yes	—
138	C₁₁×#124	—	2	2	no	—
139	C₁₁×#124	C₂³	1	2	yes	—
140	C₁₁×#123	—	2	2	no	—
141	C₁₁×#123	—	2	2	no	—
142	C₁₁×#123	—	2	2	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	1	no	—
147	C₁₁×C₂²⋊Q₈	—	2	1	no	—
148	C₁₁×C₂²⋊Q₈	—	2	2	no	—
149	C₁₁×C₂²⋊Q₈	—	2	2	no	—
150	C₁₁×C₂²⋊Q₈	—	2	4	no	—
151	C₁₁×C₂²⋊Q₈	—	2	4	no	—
152	C₁₁×C₂²⋊Q₈	—	2	4	no	—
153	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
154	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
155	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
156	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
157	C₁₁×#121	—	2	2	no	—
158	C₁₁×#121	C₂³	1	2	yes	—
159	C₄×Q₈×C₁₁	—	2	2	no	—
160	C₄×Q₈×C₁₁	—	2	1	no	—
161	C₄×Q₈×C₁₁	—	2	2	no	—
162	C₄×Q₈×C₁₁	—	2	2	no	—
163	C₄×Q₈×C₁₁	—	2	1	no	—
164	C₄×Q₈×C₁₁	—	2	1	no	—
165	C₄×Q₈×C₁₁	—	2	2	no	—
166	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
167	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
168	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
169	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
170	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
171	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
172	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
173	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
174	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
175	C₄×D₄×C₁₁	—	2	1	no	—
176	C₄×D₄×C₁₁	—	2	4	no	—
177	C₄×D₄×C₁₁	—	2	2	no	—
178	C₄×D₄×C₁₁	—	2	2	no	—
179	C₄×D₄×C₁₁	—	2	1	no	—
180	C₄×D₄×C₁₁	—	2	1	no	—
181	C₄×D₄×C₁₁	—	2	2	no	—
182	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
183	C₄×D₄×C₁₁	D₄	1	2	yes	—
184	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
185	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
186	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
187	C₄×D₄×C₁₁	C₂³	1	2	yes	—
188	C₁₁×#117	—	2	2	no	—
189	C₁₁×#117	—	2	1	no	—
190	C₁₁×#117	—	2	1	no	—
191	C₁₁×#117	—	2	1	no	—
192	C₁₁×#117	—	2	2	no	—
193	C₁₁×#117	—	2	1	no	—
194	C₁₁×#117	—	2	2	no	—
195	C₁₁×#117	D₄	1	2	yes	—
196	C₁₁×#117	D₄	1	1	yes	characteristic
197	C₁₁×#117	C₂³	1	1	yes	characteristic
198	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
199	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
200	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
201	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
202	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
203	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
204	C₂×C₄²×C₁₁	—	2	2	no	—
205	C₂×C₄²×C₁₁	—	2	1	no	—
206	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
207	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
208	C₁₁×#107	C₂³	1	2	yes	—
209	C₁₁×#106	C₂³	1	2	yes	—
210	C₁₁×#106	C₂³	1	4	yes	—
211	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
212	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
213	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
214	C₁₁×C₄⋊C₈	C₂³	1	2	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	2	yes	—
221	C₁₁×#103	C₂³	1	4	yes	—
222	C₁₁×#103	C₂³	1	4	yes	—
223	C₁₁×#103	C₂³	1	2	yes	—
224	C₁₁×#103	C₂³	1	4	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	#61984	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
231	C₁₁×#41	—	2	4	no	—
232	C₁₁×#41	—	2	2	no	—
233	C₁₁×#41	—	4	1	no	—
234	C₁₁×#41	—	4	4	no	—
235	C₂×Q₈×C₁₁	—	2	1	no	—
236	C₂×Q₈×C₁₁	—	2	2	no	—
237	C₂×Q₈×C₁₁	—	2	1	no	—
238	C₂×Q₈×C₁₁	—	2	2	no	—
239	C₂×Q₈×C₁₁	—	2	4	no	—
240	C₂×Q₈×C₁₁	—	2	4	no	—
241	C₂×Q₈×C₁₁	—	4	2	no	—
242	C₂×Q₈×C₁₁	—	4	4	no	—
243	C₂×Q₈×C₁₁	—	4	2	no	—
244	C₂×Q₈×C₁₁	—	4	4	no	—
245	C₂×Q₈×C₁₁	—	4	2	no	—
246	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
247	C₂×Q₈×C₁₁	C₂⁴	1	4	yes	—
248	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
249	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
250	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
251	C₂×D₄×C₁₁	—	2	1	no	—
252	C₂×D₄×C₁₁	—	2	2	no	—
253	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
254	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
255	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
256	C₂²×C₄×C₁₁	—	2	2	no	—
257	C₂²×C₄×C₁₁	—	2	2	no	—
258	C₂²×C₄×C₁₁	—	2	2	no	—
259	C₂²×C₄×C₁₁	—	2	4	no	—
260	C₂²×C₄×C₁₁	—	2	1	no	—
261	C₂²×C₄×C₁₁	—	2	1	no	—
262	C₂²×C₄×C₁₁	—	2	1	no	—
263	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
264	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
265	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
266	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
267	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
268	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
269	C₁₁×Q₁₆	—	2	4	no	—
270	C₁₁×Q₁₆	—	2	8	no	—
271	C₁₁×Q₁₆	—	4	4	no	—
272	C₁₁×Q₁₆	—	4	4	no	—
273	C₁₁×Q₁₆	—	4	4	no	—
274	C₁₁×SD₁₆	—	4	2	no	—
275	C₁₁×SD₁₆	—	4	4	no	—
276	C₁₁×M₁₆	—	4	2	no	—
277	C₂×C₈×C₁₁	—	4	4	no	—
278	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
279	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
280	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
281	C₁₁×C₄⋊C₄	—	2	1	no	—
282	C₁₁×C₄⋊C₄	—	2	1	no	—
283	C₁₁×C₄⋊C₄	—	2	2	no	—
284	C₁₁×C₄⋊C₄	—	2	1	no	—
285	C₁₁×C₄⋊C₄	—	2	2	no	—
286	C₁₁×C₄⋊C₄	—	2	4	no	—
287	C₁₁×C₄⋊C₄	—	2	2	no	—
288	C₁₁×C₄⋊C₄	—	2	2	no	—
289	C₁₁×C₄⋊C₄	—	2	2	no	—
290	C₁₁×C₄⋊C₄	—	2	2	no	—
291	C₁₁×C₄⋊C₄	—	2	4	no	—
292	C₁₁×C₄⋊C₄	—	2	2	no	—
293	C₁₁×C₄⋊C₄	—	2	2	no	—
294	C₁₁×C₄⋊C₄	—	2	1	no	—
295	C₁₁×C₄⋊C₄	—	2	1	no	—
296	C₁₁×C₄⋊C₄	—	2	2	no	—
297	C₁₁×C₄⋊C₄	—	2	2	no	—
298	C₁₁×C₄⋊C₄	—	2	1	no	—
299	C₁₁×C₄⋊C₄	—	2	1	no	—
300	C₁₁×C₄⋊C₄	—	2	2	no	—
301	C₁₁×C₄⋊C₄	—	2	1	no	—
302	C₁₁×C₄⋊C₄	—	2	2	no	—
303	C₁₁×C₄⋊C₄	—	2	2	no	—
304	C₁₁×C₄⋊C₄	—	2	4	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	2	yes	—
309	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
310	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
311	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
312	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
313	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
314	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	no	—
320	C₁₁×C₂²⋊C₄	—	2	2	no	—
321	C₁₁×C₂²⋊C₄	—	2	1	no	—
322	C₁₁×C₂²⋊C₄	—	2	1	no	—
323	C₁₁×C₂²⋊C₄	—	2	2	no	—
324	C₁₁×C₂²⋊C₄	—	2	2	no	—
325	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
326	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
327	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
328	C₄²×C₁₁	—	2	1	no	—
329	C₄²×C₁₁	—	2	1	no	—
330	C₄²×C₁₁	—	2	2	no	—
331	C₄²×C₁₁	—	2	2	no	—
332	C₄²×C₁₁	—	2	1	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	1	yes	characteristic
337	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
338	C₄²×C₁₁	C₂×D₄	1	2	yes	—
339	C₄²×C₁₁	C₂×D₄	1	2	yes	—
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	#3482	C₂×C₁₁	1	1	yes	characteristic
345	#3398	C₂×C₁₁	1	2	yes	complemented
346	#3374	C₂×C₁₁	1	2	yes	complemented
347	#3312	C₂×C₁₁	1	4	yes	complemented
348	#3298	C₂×C₁₁	1	2	yes	complemented
349	D₄×Q₁₆	C₂×C₁₁	1	2	yes	complemented
350	#3270	C₂×C₁₁	1	4	yes	complemented
351	#3255	C₂×C₁₁	1	1	yes	characteristic, complemented
352	#3248	C₂×C₁₁	1	2	yes	complemented
353	#3218	C₂×C₁₁	1	2	yes	complemented
354	#3209	C₂×C₁₁	1	1	yes	characteristic, complemented
355	#3113	C₂×C₁₁	1	2	yes	complemented
356	#3107	C₂×C₁₁	1	1	yes	characteristic, complemented
357	#3039	C₂×C₁₁	1	1	yes	characteristic, complemented
358	C₂×#462	C₂×C₁₁	1	2	yes	complemented
359	#2990	C₂×C₁₁	1	1	yes	characteristic, complemented
360	C₂³×C₁₁	—	2	1	no	—
361	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
362	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
363	Q₈×C₁₁	—	2	2	no	—
364	Q₈×C₁₁	—	2	1	no	—
365	Q₈×C₁₁	—	2	4	no	—
366	Q₈×C₁₁	—	2	2	no	—
367	Q₈×C₁₁	—	2	2	no	—
368	Q₈×C₁₁	—	2	2	no	—
369	Q₈×C₁₁	—	2	2	no	—
370	Q₈×C₁₁	—	2	4	no	—
371	Q₈×C₁₁	—	4	4	no	—
372	Q₈×C₁₁	—	4	2	no	—
373	Q₈×C₁₁	—	4	2	no	—
374	Q₈×C₁₁	—	8	2	no	—
375	Q₈×C₁₁	—	8	4	no	—
376	Q₈×C₁₁	H(5,𝔽₂)	1	2	yes	—
377	D₄×C₁₁	—	2	4	no	—
378	D₄×C₁₁	—	2	1	no	—
379	D₄×C₁₁	—	2	1	no	—
380	D₄×C₁₁	—	4	2	no	—
381	D₄×C₁₁	—	4	4	no	—
382	D₄×C₁₁	#137	1	4	yes	complemented
383	C₂×C₄×C₁₁	—	2	4	no	—
384	C₂×C₄×C₁₁	—	2	1	no	—
385	C₂×C₄×C₁₁	—	2	2	no	—
386	C₂×C₄×C₁₁	—	2	4	no	—
387	C₂×C₄×C₁₁	—	2	2	no	—
388	C₂×C₄×C₁₁	—	2	2	no	—
389	C₂×C₄×C₁₁	—	2	1	no	—
390	C₂×C₄×C₁₁	—	2	2	no	—
391	C₂×C₄×C₁₁	—	2	1	no	—
392	C₂×C₄×C₁₁	—	2	1	no	—
393	C₂×C₄×C₁₁	—	2	2	no	—
394	C₂×C₄×C₁₁	—	2	1	no	—
395	C₂×C₄×C₁₁	—	2	2	no	—
396	C₂×C₄×C₁₁	—	2	2	no	—
397	C₂×C₄×C₁₁	—	2	4	no	—
398	C₂×C₄×C₁₁	—	2	2	no	—
399	C₂×C₄×C₁₁	—	4	2	no	—
400	C₂×C₄×C₁₁	—	4	4	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	—	8	4	no	—
405	C₂×C₄×C₁₁	—	8	2	no	—
406	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
407	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
408	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
409	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
410	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
411	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
412	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
413	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
414	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
415	C₈×C₁₁	—	2	2	no	—
416	C₈×C₁₁	—	2	4	no	—
417	C₈×C₁₁	—	2	2	no	—
418	C₂×#137	C₂²×C₁₁	1	2	yes	—
419	C₂²×Q₁₆	C₂²×C₁₁	1	4	yes	—
420	Q₈²	—	2	1	no	—
421	#557	C₂²×C₁₁	1	2	yes	—
422	#557	C₂²×C₁₁	1	1	yes	characteristic
423	#556	—	2	1	no	—
424	#556	C₂²×C₁₁	1	1	yes	characteristic
425	#554	—	2	1	no	—
426	#554	—	2	2	no	—
427	#552	—	2	2	no	—
428	#552	C₂²×C₁₁	1	2	yes	—
429	D₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
430	D₄×Q₈	C₂²×C₁₁	1	4	yes	—
431	D₄×Q₈	C₂²×C₁₁	1	2	yes	—
432	#548	C₂²×C₁₁	1	2	yes	—
433	#547	—	2	1	no	—
434	#547	C₂²×C₁₁	1	1	yes	characteristic
435	#544	—	2	2	no	—
436	#544	—	2	1	no	—
437	#533	—	2	1	no	—
438	#533	C₂²×C₁₁	1	1	yes	characteristic
439	#533	C₂²×C₁₁	1	2	yes	—
440	#533	C₂²×C₁₁	1	1	yes	characteristic
441	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
442	C₂×C₄⋊Q₈	C₂²×C₁₁	1	2	yes	—
443	#529	—	2	2	no	—
444	#529	C₂²×C₁₁	1	2	yes	—
445	#520	—	2	1	no	—
446	C₄×#41	—	2	1	no	—
447	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
448	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
449	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	—
450	#497	C₂²×C₁₁	1	4	yes	—
451	#494	C₂²×C₁₁	1	2	yes	—
452	#491	C₂²×C₁₁	1	4	yes	—
453	#487	C₂²×C₁₁	1	2	yes	—
454	#485	C₂²×C₁₁	1	2	yes	—
455	#483	C₂²×C₁₁	1	4	yes	—
456	#479	C₂²×C₁₁	1	4	yes	—
457	#475	C₂²×C₁₁	1	1	yes	characteristic
458	#475	C₂²×C₁₁	1	2	yes	—
459	#475	C₂²×C₁₁	1	2	yes	—
460	#474	C₂²×C₁₁	1	1	yes	characteristic
461	#470	C₂²×C₁₁	1	4	yes	—
462	#467	C₂²×C₁₁	1	4	yes	—
463	#465	C₂²×C₁₁	1	4	yes	—
464	#464	C₂²×C₁₁	1	4	yes	—
465	#462	C₂²×C₁₁	1	1	yes	characteristic
466	#462	C₂²×C₁₁	1	2	yes	—
467	#462	C₂²×C₁₁	1	2	yes	—
468	#462	C₂²×C₁₁	1	4	yes	—
469	#462	C₂²×C₁₁	1	2	yes	—
470	#462	C₂²×C₁₁	1	2	yes	—
471	#462	C₂²×C₁₁	1	4	yes	—
472	#462	C₂²×C₁₁	1	2	yes	—
473	#462	C₂²×C₁₁	1	2	yes	—
474	#461	C₂²×C₁₁	1	1	yes	characteristic
475	#461	C₂²×C₁₁	1	2	yes	—
476	#461	C₂²×C₁₁	1	2	yes	—
477	#452	C₂²×C₁₁	1	2	yes	—
478	#451	C₂²×C₁₁	1	4	yes	—
479	#451	C₂²×C₁₁	1	4	yes	—
480	#451	C₂²×C₁₁	1	4	yes	—
481	#448	C₂²×C₁₁	1	4	yes	—
482	#446	C₂²×C₁₁	1	2	yes	—
483	#441	C₂²×C₁₁	1	4	yes	—
484	#441	C₂²×C₁₁	1	4	yes	—
485	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	—
486	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
487	#435	C₂²×C₁₁	1	4	yes	—
488	C₈×D₄	C₂²×C₁₁	1	2	yes	—
489	#432	C₂²×C₁₁	1	2	yes	—
490	#431	C₂²×C₁₁	1	1	yes	characteristic
491	#423	C₂²×C₁₁	1	1	yes	characteristic
492	C₂×C₄⋊C₈	C₂²×C₁₁	1	2	yes	—
493	#419	C₂²×C₁₁	1	2	yes	—
494	C₂×#103	C₂²×C₁₁	1	4	yes	—
495	C₂²×C₁₁	—	2	2	no	—
496	C₂²×C₁₁	—	2	2	no	—
497	C₂²×C₁₁	—	2	1	no	—
498	C₂²×C₁₁	—	2	1	no	—
499	C₂²×C₁₁	—	2	1	no	—
500	C₂²×C₁₁	—	4	1	no	—
501	C₂²×C₁₁	—	4	1	no	—
502	C₂²×C₁₁	—	4	1	no	—
503	C₂²×C₁₁	C₂×#137	1	4	yes	—
504	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
505	C₄×C₁₁	—	2	1	no	—
506	C₄×C₁₁	—	2	2	no	—
507	C₄×C₁₁	—	2	2	no	—
508	C₄×C₁₁	—	2	1	no	—
509	C₄×C₁₁	—	2	2	no	—
510	C₄×C₁₁	—	2	2	no	—
511	C₄×C₁₁	—	2	1	no	—
512	C₄×C₁₁	—	4	2	no	—
513	C₄×C₁₁	—	4	4	no	—
514	C₄×C₁₁	—	4	2	no	—
515	C₄×C₁₁	—	4	1	no	—
516	C₄×C₁₁	—	4	2	no	—
517	C₄×C₁₁	—	4	1	no	—
518	C₄×C₁₁	—	4	2	no	—
519	C₄×C₁₁	C₂×#137	1	2	yes	—
520	C₄×C₁₁	#578	1	2	yes	—
521	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
522	C₄×C₁₁	#585	1	1	yes	characteristic
523	C₂×#41	—	2	1	no	—
524	C₂×#41	D₄×C₁₁	1	1	yes	characteristic
525	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
526	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
527	C₂²×Q₈	C₂³×C₁₁	1	4	yes	—
528	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
529	#137	—	4	4	no	—
530	C₂×Q₁₆	—	4	8	no	—
531	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
532	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
533	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
534	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
535	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
536	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
537	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
538	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
539	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
540	C₄⋊Q₈	—	2	1	no	—
541	C₄⋊Q₈	—	2	1	no	—
542	C₄⋊Q₈	—	2	4	no	—
543	C₄⋊Q₈	—	2	2	no	—
544	C₄⋊Q₈	—	2	1	no	—
545	C₄⋊Q₈	—	2	2	no	—
546	C₄⋊Q₈	—	2	1	no	—
547	C₄⋊Q₈	—	2	2	no	—
548	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
549	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
550	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
551	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
552	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
553	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
554	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
555	#126	—	2	2	no	—
556	#126	—	2	2	no	—
557	#126	—	2	2	no	—
558	#125	—	2	2	no	—
559	#125	—	2	2	no	—
560	#125	—	2	2	no	—
561	#125	—	2	4	no	—
562	#125	—	2	1	no	—
563	#125	—	2	2	no	—
564	#125	—	2	1	no	—
565	#125	C₂³×C₁₁	1	2	yes	—
566	#124	—	2	2	no	—
567	#124	C₂³×C₁₁	1	2	yes	—
568	#123	—	2	2	no	—
569	#123	—	2	2	no	—
570	#123	—	2	2	no	—
571	C₂²⋊Q₈	—	2	1	no	—
572	C₂²⋊Q₈	—	2	1	no	—
573	C₂²⋊Q₈	—	2	2	no	—
574	C₂²⋊Q₈	—	2	1	no	—
575	C₂²⋊Q₈	—	2	1	no	—
576	C₂²⋊Q₈	—	2	2	no	—
577	C₂²⋊Q₈	—	2	2	no	—
578	C₂²⋊Q₈	—	2	4	no	—
579	C₂²⋊Q₈	—	2	4	no	—
580	C₂²⋊Q₈	—	2	4	no	—
581	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
582	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
583	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
584	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
585	#121	—	2	2	no	—
586	#121	C₂³×C₁₁	1	2	yes	—
587	C₄×Q₈	—	2	2	no	—
588	C₄×Q₈	—	2	1	no	—
589	C₄×Q₈	—	2	2	no	—
590	C₄×Q₈	—	2	2	no	—
591	C₄×Q₈	—	2	1	no	—
592	C₄×Q₈	—	2	1	no	—
593	C₄×Q₈	—	2	2	no	—
594	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
595	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
596	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
597	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
598	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
599	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
600	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
601	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
602	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
603	C₄×D₄	—	2	1	no	—
604	C₄×D₄	—	2	4	no	—
605	C₄×D₄	—	2	2	no	—
606	C₄×D₄	—	2	2	no	—
607	C₄×D₄	—	2	1	no	—
608	C₄×D₄	—	2	1	no	—
609	C₄×D₄	—	2	2	no	—
610	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
611	C₄×D₄	D₄×C₁₁	1	2	yes	—
612	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
613	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
614	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
615	C₄×D₄	C₂³×C₁₁	1	2	yes	—
616	#117	—	2	2	no	—
617	#117	—	2	1	no	—
618	#117	—	2	1	no	—
619	#117	—	2	1	no	—
620	#117	—	2	2	no	—
621	#117	—	2	1	no	—
622	#117	—	2	2	no	—
623	#117	D₄×C₁₁	1	2	yes	—
624	#117	D₄×C₁₁	1	1	yes	characteristic
625	#117	C₂³×C₁₁	1	1	yes	characteristic
626	C₂×C₄⋊C₄	—	2	2	no	—
627	C₂×C₄⋊C₄	—	2	2	no	—
628	C₂×C₄⋊C₄	—	2	1	no	—
629	C₂×C₄⋊C₄	—	2	2	no	—
630	C₂×C₄⋊C₄	—	2	1	no	—
631	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
632	C₂×C₄²	—	2	2	no	—
633	C₂×C₄²	—	2	1	no	—
634	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
635	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
636	#107	C₂³×C₁₁	1	2	yes	—
637	#106	C₂³×C₁₁	1	2	yes	—
638	#106	C₂³×C₁₁	1	4	yes	—
639	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
640	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
641	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
642	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
643	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
644	#103	C₂³×C₁₁	1	2	yes	—
645	#103	C₂³×C₁₁	1	4	yes	—
646	#103	C₂³×C₁₁	1	4	yes	—
647	#103	C₂³×C₁₁	1	4	yes	—
648	#103	C₂³×C₁₁	1	4	yes	—
649	#103	C₂³×C₁₁	1	2	yes	—
650	#103	C₂³×C₁₁	1	2	yes	—
651	#103	C₂³×C₁₁	1	4	yes	—
652	#103	C₂³×C₁₁	1	4	yes	—
653	#102	C₂³×C₁₁	1	2	yes	—
654	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
655	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
656	#97	C₂³×C₁₁	1	4	yes	—
657	C₄×C₈	C₂³×C₁₁	1	2	yes	—
658	C₂×C₁₁	—	2	4	no	—
659	C₂×C₁₁	—	4	1	no	—
660	C₂×C₁₁	—	8	1	no	—
661	C₂×C₁₁	#3488	1	1	yes	characteristic
662	C₂×C₁₁	C₂²×#137	1	1	yes	characteristic
663	C₂×C₁₁	C₂×#578	1	1	yes	characteristic
664	#41	—	2	4	no	—
665	#41	—	2	2	no	—
666	#41	—	4	1	no	—
667	#41	—	4	4	no	—
668	C₂×Q₈	—	2	1	no	—
669	C₂×Q₈	—	2	2	no	—
670	C₂×Q₈	—	2	1	no	—
671	C₂×Q₈	—	2	2	no	—
672	C₂×Q₈	—	2	4	no	—
673	C₂×Q₈	—	2	4	no	—
674	C₂×Q₈	—	4	2	no	—
675	C₂×Q₈	—	4	4	no	—
676	C₂×Q₈	—	4	2	no	—
677	C₂×Q₈	—	4	4	no	—
678	C₂×Q₈	—	4	2	no	—
679	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
680	C₂×Q₈	C₂⁴×C₁₁	1	4	yes	—
681	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
682	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
683	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
684	C₂×D₄	—	2	1	no	—
685	C₂×D₄	—	2	2	no	—
686	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
687	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
688	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
689	C₂²×C₄	—	2	2	no	—
690	C₂²×C₄	—	2	2	no	—
691	C₂²×C₄	—	2	2	no	—
692	C₂²×C₄	—	2	4	no	—
693	C₂²×C₄	—	2	1	no	—
694	C₂²×C₄	—	2	1	no	—
695	C₂²×C₄	—	2	1	no	—
696	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
697	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
698	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
699	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
700	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
701	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
702	Q₁₆	—	2	4	no	—
703	Q₁₆	—	2	8	no	—
704	Q₁₆	—	4	4	no	—
705	Q₁₆	—	4	4	no	—
706	Q₁₆	—	4	4	no	—
707	SD₁₆	—	4	4	no	—
708	SD₁₆	—	4	2	no	—
709	M₁₆	—	4	2	no	—
710	C₂×C₈	—	4	4	no	—
711	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
712	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
713	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
714	C₄⋊C₄	—	2	1	no	—
715	C₄⋊C₄	—	2	1	no	—
716	C₄⋊C₄	—	2	2	no	—
717	C₄⋊C₄	—	2	1	no	—
718	C₄⋊C₄	—	2	2	no	—
719	C₄⋊C₄	—	2	4	no	—
720	C₄⋊C₄	—	2	2	no	—
721	C₄⋊C₄	—	2	2	no	—
722	C₄⋊C₄	—	2	2	no	—
723	C₄⋊C₄	—	2	2	no	—
724	C₄⋊C₄	—	2	4	no	—
725	C₄⋊C₄	—	2	2	no	—
726	C₄⋊C₄	—	2	2	no	—
727	C₄⋊C₄	—	2	1	no	—
728	C₄⋊C₄	—	2	1	no	—
729	C₄⋊C₄	—	2	2	no	—
730	C₄⋊C₄	—	2	2	no	—
731	C₄⋊C₄	—	2	1	no	—
732	C₄⋊C₄	—	2	1	no	—
733	C₄⋊C₄	—	2	2	no	—
734	C₄⋊C₄	—	2	1	no	—
735	C₄⋊C₄	—	2	2	no	—
736	C₄⋊C₄	—	2	2	no	—
737	C₄⋊C₄	—	2	4	no	—
738	C₄⋊C₄	—	2	4	no	—
739	C₄⋊C₄	—	2	2	no	—
740	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
741	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
742	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
743	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
744	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
745	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
746	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
747	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
748	C₂²⋊C₄	—	2	2	no	—
749	C₂²⋊C₄	—	2	4	no	—
750	C₂²⋊C₄	—	2	2	no	—
751	C₂²⋊C₄	—	2	2	no	—
752	C₂²⋊C₄	—	2	1	no	—
753	C₂²⋊C₄	—	2	2	no	—
754	C₂²⋊C₄	—	2	1	no	—
755	C₂²⋊C₄	—	2	1	no	—
756	C₂²⋊C₄	—	2	2	no	—
757	C₂²⋊C₄	—	2	2	no	—
758	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
759	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
760	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
761	C₄²	—	2	1	no	—
762	C₄²	—	2	1	no	—
763	C₄²	—	2	2	no	—
764	C₄²	—	2	2	no	—
765	C₄²	—	2	1	no	—
766	C₄²	—	2	2	no	—
767	C₄²	—	2	4	no	—
768	C₄²	—	2	2	no	—
769	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
770	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
771	C₄²	C₂×D₄×C₁₁	1	2	yes	—
772	C₄²	C₂×D₄×C₁₁	1	2	yes	—
773	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
774	C₄²	C₂⁴×C₁₁	1	2	yes	—
775	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
776	C₁₁	#61984	1	1	yes	characteristic, direct product factor, Sylow
777	C₂³	—	2	1	no	—
778	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
779	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
780	Q₈	—	2	2	no	—
781	Q₈	—	2	1	no	—
782	Q₈	—	2	4	no	—
783	Q₈	—	2	2	no	—
784	Q₈	—	2	2	no	—
785	Q₈	—	2	2	no	—
786	Q₈	—	2	2	no	—
787	Q₈	—	2	4	no	—
788	Q₈	—	4	4	no	—
789	Q₈	—	4	2	no	—
790	Q₈	—	4	2	no	—
791	Q₈	—	8	2	no	—
792	Q₈	—	8	4	no	—
793	Q₈	C₁₁×H(5,𝔽₂)	1	2	yes	—
794	D₄	—	2	4	no	—
795	D₄	—	2	1	no	—
796	D₄	—	2	1	no	—
797	D₄	—	4	2	no	—
798	D₄	—	4	4	no	—
799	D₄	C₁₁×#137	1	4	yes	complemented
800	C₂×C₄	—	2	4	no	—
801	C₂×C₄	—	2	1	no	—
802	C₂×C₄	—	2	2	no	—
803	C₂×C₄	—	2	4	no	—
804	C₂×C₄	—	2	2	no	—
805	C₂×C₄	—	2	2	no	—
806	C₂×C₄	—	2	1	no	—
807	C₂×C₄	—	2	2	no	—
808	C₂×C₄	—	2	1	no	—
809	C₂×C₄	—	2	1	no	—
810	C₂×C₄	—	2	2	no	—
811	C₂×C₄	—	2	1	no	—
812	C₂×C₄	—	2	2	no	—
813	C₂×C₄	—	2	2	no	—
814	C₂×C₄	—	2	4	no	—
815	C₂×C₄	—	2	2	no	—
816	C₂×C₄	—	4	2	no	—
817	C₂×C₄	—	4	4	no	—
818	C₂×C₄	—	4	4	no	—
819	C₂×C₄	—	4	2	no	—
820	C₂×C₄	—	4	2	no	—
821	C₂×C₄	—	8	4	no	—
822	C₂×C₄	—	8	2	no	—
823	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
824	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
825	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
826	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
827	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
828	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
829	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
830	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
831	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
832	C₈	—	2	2	no	—
833	C₈	—	2	4	no	—
834	C₈	—	2	2	no	—
835	C₂²	—	2	2	no	—
836	C₂²	—	2	2	no	—
837	C₂²	—	2	1	no	—
838	C₂²	—	2	1	no	—
839	C₂²	—	2	1	no	—
840	C₂²	—	4	1	no	—
841	C₂²	—	4	1	no	—
842	C₂²	—	4	1	no	—
843	C₂²	C₂×C₁₁×#137	1	4	yes	—
844	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
845	C₄	—	2	1	no	—
846	C₄	—	2	2	no	—
847	C₄	—	2	2	no	—
848	C₄	—	2	1	no	—
849	C₄	—	2	2	no	—
850	C₄	—	2	2	no	—
851	C₄	—	2	1	no	—
852	C₄	—	4	2	no	—
853	C₄	—	4	4	no	—
854	C₄	—	4	2	no	—
855	C₄	—	4	1	no	—
856	C₄	—	4	2	no	—
857	C₄	—	4	1	no	—
858	C₄	—	4	2	no	—
859	C₄	C₂×C₁₁×#137	1	2	yes	—
860	C₄	C₁₁×#578	1	2	yes	—
861	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
862	C₄	C₁₁×#585	1	1	yes	characteristic
863	C₂	—	2	4	no	—
864	C₂	—	4	1	no	—
865	C₂	—	8	1	no	—
866	C₂	C₁₁×#3488	1	1	yes	characteristic
867	C₂	C₂²×C₁₁×#137	1	1	yes	characteristic
868	C₂	C₂×C₁₁×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
prime radical	C₁₁×#3482	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×#3374	C₂	semidirect
5. C₁₁×#3312	C₂	semidirect
6. C₁₁×#3298	C₂	semidirect
7. D₄×C₁₁×Q₁₆	C₂	semidirect
8. C₁₁×#3270	C₂	semidirect
9. C₁₁×#3255	C₂	semidirect
10. C₁₁×#3248	C₂	semidirect
11. C₁₁×#3218	C₂	semidirect
12. C₁₁×#3209	C₂	semidirect
13. C₁₁×#3113	C₂	semidirect
14. C₁₁×#3107	C₂	semidirect
15. C₁₁×#3039	C₂	semidirect
16. C₂×C₁₁×#462	C₂	semidirect
17. C₁₁×#2990	C₂	semidirect
230. #61984	C₁₁	direct (N × H)
343. #3503	C₂×C₁₁	semidirect
345. #3398	C₂×C₁₁	semidirect
346. #3374	C₂×C₁₁	semidirect
347. #3312	C₂×C₁₁	semidirect
348. #3298	C₂×C₁₁	semidirect
349. D₄×Q₁₆	C₂×C₁₁	semidirect
350. #3270	C₂×C₁₁	semidirect
351. #3255	C₂×C₁₁	semidirect
352. #3248	C₂×C₁₁	semidirect
353. #3218	C₂×C₁₁	semidirect
354. #3209	C₂×C₁₁	semidirect
355. #3113	C₂×C₁₁	semidirect
356. #3107	C₂×C₁₁	semidirect
357. #3039	C₂×C₁₁	semidirect
358. C₂×#462	C₂×C₁₁	semidirect
359. #2990	C₂×C₁₁	semidirect
382. D₄×C₁₁	#137	semidirect
776. C₁₁	#61984	direct (N × H)
799. D₄	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×#3482	2
C₁₁×#3398	2
C₁₁×#3374	2
C₁₁×#3312	2
C₁₁×#3298	2
D₄×C₁₁×Q₁₆	2
C₁₁×#3270	2
C₁₁×#3255	2
C₁₁×#3248	2
C₁₁×#3218	2
C₁₁×#3209	2
C₁₁×#3113	2
C₁₁×#3107	2
C₁₁×#3039	2
C₂×C₁₁×#462	2
C₁₁×#2990	2
#61984	11

Subgroups — C11×#61984 #14639177

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61984 #14639177