Subgroups — C₁₁×#61644 #14638837

Order 2816.

2234 conjugacy classes of subgroups.

The subgroup lattice has 1218 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3540	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3484	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3325	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3324	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3319	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3311	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3275	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3273	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3265	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3264	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3224	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3200	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3199	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3197	C₂	1	2	yes	maximal, complemented
15	C₁₁×#3118	C₂	1	2	yes	maximal, complemented
16	C₁₁×#3009	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#3008	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#3003	C₂	1	2	yes	maximal, complemented
19	C₁₁×#2978	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₁×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
21	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
22	C₂×C₁₁×#137	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
24	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
25	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
26	C₂²×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₁₁×D₈	C₂²	1	1	yes	characteristic, complemented
28	C₁₁×H(3,𝔽₄)	—	2	1	no	—
29	C₁₁×#560	—	2	1	no	—
30	C₁₁×#559	—	2	1	no	—
31	C₁₁×#556	C₂²	1	2	yes	complemented
32	C₁₁×#555	C₂²	1	2	yes	complemented
33	C₁₁×#551	—	2	1	no	—
34	C₁₁×#548	C₂²	1	2	yes	complemented
35	C₁₁×#546	—	2	2	no	—
36	C₁₁×#546	C₂²	1	2	yes	—
37	C₁₁×#546	C₂²	1	2	yes	complemented
38	C₁₁×#546	C₂²	1	2	yes	complemented
39	D₄²×C₁₁	—	2	2	no	—
40	D₄²×C₁₁	C₂²	1	2	yes	—
41	D₄²×C₁₁	C₂²	1	2	yes	complemented
42	C₁₁×#542	—	2	2	no	—
43	C₁₁×#542	C₂²	1	2	yes	complemented
44	C₁₁×#538	—	2	2	no	—
45	C₁₁×#536	C₂²	1	1	yes	characteristic, complemented
46	C₁₁×#535	C₂²	1	1	yes	characteristic
47	C₁₁×#535	C₂²	1	1	yes	characteristic, complemented
48	C₁₁×#535	C₂²	1	1	yes	characteristic, complemented
49	C₁₁×#534	—	2	1	no	—
50	C₁₁×#534	—	2	1	no	—
51	C₁₁×#525	C₂²	1	1	yes	characteristic
52	C₁₁×#525	C₂²	1	1	yes	characteristic, complemented
53	C₁₁×#525	C₂²	1	2	yes	complemented
54	C₂×C₁₁×#120	—	2	1	no	—
55	C₂×C₁₁×#120	—	2	1	no	—
56	C₁₁×#518	C₂²	1	1	yes	characteristic, complemented
57	C₁₁×#496	C₂²	1	2	yes	complemented
58	C₁₁×#495	C₂²	1	2	yes	complemented
59	C₁₁×#489	C₂²	1	2	yes	complemented
60	C₁₁×#486	C₂²	1	2	yes	complemented
61	C₁₁×#485	C₂²	1	2	yes	complemented
62	C₁₁×#485	C₂²	1	2	yes	complemented
63	C₁₁×#482	C₂²	1	2	yes	complemented
64	C₁₁×#482	C₂²	1	2	yes	complemented
65	C₁₁×#482	C₂²	1	2	yes	complemented
66	C₁₁×#482	C₂²	1	2	yes	complemented
67	C₁₁×#476	C₂²	1	2	yes	complemented
68	C₁₁×#474	C₂²	1	2	yes	complemented
69	C₁₁×#470	C₂²	1	2	yes	complemented
70	C₁₁×#469	C₂²	1	2	yes	complemented
71	C₁₁×#469	C₂²	1	2	yes	complemented
72	C₁₁×#468	C₂²	1	2	yes	complemented
73	C₁₁×#468	C₂²	1	2	yes	complemented
74	C₁₁×#468	C₂²	1	2	yes	complemented
75	C₁₁×#466	C₂²	1	2	yes	complemented
76	C₁₁×#465	C₂²	1	2	yes	complemented
77	C₁₁×#464	C₂²	1	2	yes	complemented
78	C₁₁×#463	C₂²	1	2	yes	complemented
79	C₁₁×#463	C₂²	1	2	yes	complemented
80	C₁₁×#463	C₂²	1	2	yes	complemented
81	C₁₁×#460	C₂²	1	2	yes	complemented
82	C₁₁×#459	C₂²	1	2	yes	complemented
83	C₁₁×#452	C₂²	1	2	yes	complemented
84	C₁₁×#452	C₂²	1	2	yes	complemented
85	C₁₁×#452	C₂²	1	2	yes	complemented
86	C₁₁×#450	C₂²	1	2	yes	complemented
87	C₁₁×#450	C₂²	1	2	yes	complemented
88	C₁₁×#450	C₂²	1	2	yes	complemented
89	C₁₁×#450	C₂²	1	2	yes	complemented
90	C₁₁×#450	C₂²	1	2	yes	complemented
91	C₁₁×#449	C₂²	1	2	yes	complemented
92	C₁₁×#449	C₂²	1	2	yes	complemented
93	C₁₁×#449	C₂²	1	2	yes	complemented
94	C₁₁×#448	C₂²	1	2	yes	complemented
95	C₁₁×#447	C₂²	1	2	yes	—
96	C₁₁×#447	C₂²	1	2	yes	complemented
97	C₁₁×#447	C₂²	1	2	yes	complemented
98	C₁₁×#447	C₂²	1	2	yes	complemented
99	C₁₁×#447	C₂²	1	2	yes	complemented
100	C₁₁×#447	C₂²	1	2	yes	complemented
101	C₁₁×#442	C₂²	1	2	yes	complemented
102	C₁₁×#440	C₂²	1	2	yes	complemented
103	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
104	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
105	C₁₁×#436	C₂²	1	2	yes	complemented
106	C₁₁×#436	C₂²	1	2	yes	complemented
107	C₁₁×#435	C₂²	1	2	yes	complemented
108	C₁₁×#435	C₂²	1	2	yes	complemented
109	C₁₁×#433	C₂²	1	2	yes	complemented
110	C₁₁×#418	C₂²	1	2	yes	complemented
111	C₁₁×#418	C₂²	1	2	yes	complemented
112	C₁₁×#418	C₂²	1	1	yes	characteristic, complemented
113	C₁₁×#418	C₂²	1	1	yes	characteristic, complemented
114	C₁₁×#416	C₂²	1	1	yes	characteristic, complemented
115	C₁₁×#416	C₂²	1	1	yes	characteristic, complemented
116	C₁₁×#408	C₂²	1	1	yes	characteristic, complemented
117	C₁₁×#408	C₂²	1	1	yes	characteristic, complemented
118	C₁₁×#407	C₂²	1	2	yes	complemented
119	C₂⁵×C₁₁	—	2	1	no	—
120	C₁₁×H(5,𝔽₂)	—	4	2	no	—
121	C₁₁×H(5,𝔽₂)	—	4	2	no	—
122	C₂×C₁₁×#41	—	2	1	no	—
123	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
124	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
125	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
126	C₂×C₁₁×#41	C₂³	1	2	yes	—
127	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
128	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic, complemented
129	C₂²×D₄×C₁₁	—	2	1	no	—
130	C₂²×D₄×C₁₁	—	2	1	no	—
131	C₂²×D₄×C₁₁	—	2	1	no	—
132	C₂²×D₄×C₁₁	—	2	2	no	—
133	C₂²×D₄×C₁₁	—	2	2	no	—
134	C₂²×D₄×C₁₁	—	2	1	no	—
135	C₂²×D₄×C₁₁	—	2	2	no	—
136	C₂²×D₄×C₁₁	—	4	2	no	—
137	C₂²×D₄×C₁₁	—	4	2	no	—
138	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
142	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
143	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
144	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic, complemented
145	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
146	C₁₁×#137	—	4	2	no	—
147	C₁₁×AGL(1,ℤ/8)	—	4	2	no	—
148	C₁₁×AGL(1,ℤ/8)	—	4	4	no	—
149	C₁₁×AGL(1,ℤ/8)	—	4	4	no	—
150	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	complemented
151	C₂×C₁₁×SD₁₆	—	4	2	no	—
152	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	complemented
157	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	complemented
158	C₂×C₁₁×D₈	—	4	2	no	—
159	C₂×C₁₁×D₈	C₂³	1	2	yes	—
160	C₂×C₁₁×D₈	C₂³	1	2	yes	—
161	C₂×C₁₁×D₈	C₂³	1	2	yes	—
162	C₂×C₁₁×D₈	C₂³	1	2	yes	—
163	C₂×C₁₁×D₈	C₂³	1	2	yes	complemented
164	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
165	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
166	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic, complemented
167	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic, complemented
168	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic, complemented
169	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic, complemented
170	C₁₁×C₄⋊Q₈	—	2	1	no	—
171	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	complemented
172	C₁₁×#127	—	2	1	no	—
173	C₁₁×#127	—	2	1	no	—
174	C₁₁×#127	C₂³	1	2	yes	—
175	C₁₁×#126	—	2	2	no	—
176	C₁₁×#126	—	2	2	no	—
177	C₁₁×#126	—	2	2	no	—
178	C₁₁×#124	—	2	1	no	—
179	C₁₁×#124	—	2	1	no	—
180	C₁₁×#124	—	2	1	no	—
181	C₁₁×#124	—	2	2	no	—
182	C₁₁×#124	—	2	2	no	—
183	C₁₁×#124	—	2	2	no	—
184	C₁₁×#124	—	2	2	no	—
185	C₁₁×#124	—	2	2	no	—
186	C₁₁×#124	C₂³	1	2	yes	—
187	C₁₁×#124	C₂³	1	2	yes	complemented
188	C₁₁×#123	—	2	1	no	—
189	C₁₁×#123	—	2	1	no	—
190	C₁₁×#123	—	2	1	no	—
191	C₁₁×#123	—	2	2	no	—
192	C₁₁×#123	—	2	2	no	—
193	C₁₁×#123	—	2	2	no	—
194	C₁₁×#123	—	2	2	no	—
195	C₁₁×#123	—	2	2	no	—
196	C₁₁×#123	D₄	1	1	yes	characteristic
197	C₁₁×#123	D₄	1	1	yes	characteristic
198	C₁₁×C₂²⋊Q₈	—	2	2	no	—
199	C₁₁×C₂²⋊Q₈	—	2	2	no	—
200	C₁₁×C₂²⋊Q₈	D₄	1	2	yes	—
201	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
202	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
203	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
204	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	complemented
205	C₁₁×#121	—	2	2	no	—
206	C₁₁×#121	—	2	2	no	—
207	C₁₁×#121	—	2	2	no	—
208	C₁₁×#121	—	2	2	no	—
209	C₁₁×#121	—	2	2	no	—
210	C₁₁×#121	—	2	2	no	—
211	C₁₁×#121	—	2	2	no	—
212	C₁₁×#121	—	2	2	no	—
213	C₁₁×#121	D₄	1	2	yes	—
214	C₁₁×#121	C₂³	1	2	yes	—
215	C₁₁×#121	C₂³	1	2	yes	—
216	C₁₁×#121	C₂³	1	2	yes	—
217	C₁₁×#121	C₂³	1	2	yes	—
218	C₁₁×#121	C₂³	1	2	yes	—
219	C₁₁×#121	C₂³	1	2	yes	complemented
220	C₁₁×#120	—	2	1	no	—
221	C₁₁×#120	—	2	2	no	—
222	C₁₁×#120	—	2	1	no	—
223	C₁₁×#120	—	2	1	no	—
224	C₁₁×#120	—	2	2	no	—
225	C₁₁×#120	—	2	2	no	—
226	C₁₁×#120	—	2	1	no	—
227	C₁₁×#120	—	2	1	no	—
228	C₁₁×#120	—	2	2	no	—
229	C₁₁×#120	—	2	1	no	—
230	C₁₁×#120	—	2	1	no	—
231	C₁₁×#120	—	2	2	no	—
232	C₁₁×#120	—	2	2	no	—
233	C₁₁×#120	—	2	2	no	—
234	C₁₁×#120	—	2	2	no	—
235	C₁₁×#120	D₄	1	1	yes	characteristic
236	C₁₁×#120	D₄	1	1	yes	characteristic
237	C₄×Q₈×C₁₁	—	2	2	no	—
238	C₄×Q₈×C₁₁	C₂³	1	2	yes	complemented
239	C₄×D₄×C₁₁	—	2	2	no	—
240	C₄×D₄×C₁₁	—	2	2	no	—
241	C₄×D₄×C₁₁	—	2	2	no	—
242	C₄×D₄×C₁₁	—	2	2	no	—
243	C₄×D₄×C₁₁	—	2	2	no	—
244	C₄×D₄×C₁₁	C₂³	1	2	yes	—
245	C₄×D₄×C₁₁	C₂³	1	2	yes	—
246	C₄×D₄×C₁₁	C₂³	1	2	yes	—
247	C₄×D₄×C₁₁	C₂³	1	2	yes	—
248	C₄×D₄×C₁₁	C₂³	1	2	yes	complemented
249	C₁₁×#117	—	2	2	no	—
250	C₁₁×#117	C₂³	1	1	yes	characteristic
251	C₁₁×#117	C₂³	1	2	yes	—
252	C₁₁×#117	C₂³	1	1	yes	characteristic
253	C₁₁×#117	C₂³	1	1	yes	characteristic, complemented
254	C₁₁×#117	C₂³	1	1	yes	characteristic, complemented
255	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
256	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
257	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
258	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
259	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
260	C₁₁×#107	C₂³	1	2	yes	complemented
261	C₁₁×#107	C₂³	1	2	yes	complemented
262	C₁₁×#106	C₂³	1	2	yes	complemented
263	C₁₁×#106	C₂³	1	2	yes	complemented
264	C₁₁×C₄⋊C₈	C₂³	1	2	yes	complemented
265	C₁₁×C₄⋊C₈	C₂³	1	2	yes	complemented
266	C₁₁×#103	C₂³	1	2	yes	complemented
267	C₁₁×#103	C₂³	1	2	yes	complemented
268	C₁₁×#103	C₂³	1	2	yes	complemented
269	C₁₁×#103	C₂³	1	2	yes	complemented
270	C₁₁×#102	C₂³	1	2	yes	—
271	C₁₁×#102	C₂³	1	2	yes	—
272	C₁₁×#102	C₂³	1	2	yes	—
273	C₁₁×#102	C₂³	1	2	yes	—
274	C₁₁×#102	C₂³	1	2	yes	—
275	C₁₁×#102	C₂³	1	2	yes	—
276	C₁₁×#102	C₂³	1	2	yes	—
277	C₁₁×#102	C₂³	1	2	yes	—
278	C₁₁×#102	C₂³	1	2	yes	complemented
279	C₁₁×#102	C₂³	1	2	yes	complemented
280	C₁₁×#102	C₂³	1	2	yes	complemented
281	C₁₁×#102	C₂³	1	2	yes	complemented
282	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
283	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
284	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
285	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
286	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	complemented
287	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	complemented
288	C₁₁×#97	C₂³	1	2	yes	complemented
289	C₄×C₈×C₁₁	C₂³	1	2	yes	complemented
290	#61644	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
291	C₂⁴×C₁₁	—	2	1	no	—
292	C₂⁴×C₁₁	—	2	2	no	—
293	C₂⁴×C₁₁	—	2	2	no	—
294	C₂⁴×C₁₁	—	2	1	no	—
295	C₂⁴×C₁₁	—	2	1	no	—
296	C₂⁴×C₁₁	—	2	1	no	—
297	C₂⁴×C₁₁	—	2	1	no	—
298	C₂⁴×C₁₁	—	4	4	no	—
299	C₂⁴×C₁₁	—	8	4	no	—
300	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
301	C₁₁×#41	—	2	2	no	—
302	C₁₁×#41	—	2	2	no	—
303	C₁₁×#41	—	4	1	no	—
304	C₁₁×#41	—	4	1	no	—
305	C₁₁×#41	—	4	1	no	—
306	C₁₁×#41	—	4	1	no	—
307	C₁₁×#41	—	4	1	no	—
308	C₁₁×#41	—	4	1	no	—
309	C₁₁×#41	—	4	2	no	—
310	C₁₁×#41	—	4	2	no	—
311	C₁₁×#41	—	4	4	no	—
312	C₂×Q₈×C₁₁	—	2	2	no	—
313	C₂×Q₈×C₁₁	—	2	1	no	—
314	C₂×Q₈×C₁₁	—	4	1	no	—
315	C₂×Q₈×C₁₁	—	4	1	no	—
316	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
317	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
318	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
319	C₂×D₄×C₁₁	—	2	2	no	—
320	C₂×D₄×C₁₁	—	2	2	no	—
321	C₂×D₄×C₁₁	—	2	2	no	—
322	C₂×D₄×C₁₁	—	2	2	no	—
323	C₂×D₄×C₁₁	—	2	4	no	—
324	C₂×D₄×C₁₁	—	2	4	no	—
325	C₂×D₄×C₁₁	—	2	2	no	—
326	C₂×D₄×C₁₁	—	2	1	no	—
327	C₂×D₄×C₁₁	—	2	1	no	—
328	C₂×D₄×C₁₁	—	2	1	no	—
329	C₂×D₄×C₁₁	—	2	2	no	—
330	C₂×D₄×C₁₁	—	2	2	no	—
331	C₂×D₄×C₁₁	—	2	2	no	—
332	C₂×D₄×C₁₁	—	2	2	no	—
333	C₂×D₄×C₁₁	—	2	2	no	—
334	C₂×D₄×C₁₁	—	2	2	no	—
335	C₂×D₄×C₁₁	—	2	1	no	—
336	C₂×D₄×C₁₁	—	2	1	no	—
337	C₂×D₄×C₁₁	—	2	1	no	—
338	C₂×D₄×C₁₁	—	2	2	no	—
339	C₂×D₄×C₁₁	—	2	2	no	—
340	C₂×D₄×C₁₁	—	2	1	no	—
341	C₂×D₄×C₁₁	—	2	2	no	—
342	C₂×D₄×C₁₁	—	2	2	no	—
343	C₂×D₄×C₁₁	—	2	1	no	—
344	C₂×D₄×C₁₁	—	4	2	no	—
345	C₂×D₄×C₁₁	—	4	2	no	—
346	C₂×D₄×C₁₁	—	4	1	no	—
347	C₂×D₄×C₁₁	—	4	1	no	—
348	C₂×D₄×C₁₁	—	4	1	no	—
349	C₂×D₄×C₁₁	—	4	1	no	—
350	C₂×D₄×C₁₁	—	4	1	no	—
351	C₂×D₄×C₁₁	—	4	1	no	—
352	C₂×D₄×C₁₁	—	4	8	no	—
353	C₂×D₄×C₁₁	—	4	4	no	—
354	C₂×D₄×C₁₁	—	4	4	no	—
355	C₂×D₄×C₁₁	—	4	4	no	—
356	C₂×D₄×C₁₁	—	4	4	no	—
357	C₂×D₄×C₁₁	—	8	4	no	—
358	C₂×D₄×C₁₁	—	8	4	no	—
359	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
360	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
361	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
362	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
363	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
364	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
365	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
366	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
367	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
368	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₁	—	2	1	no	—
370	C₂²×C₄×C₁₁	—	2	1	no	—
371	C₂²×C₄×C₁₁	—	2	1	no	—
372	C₂²×C₄×C₁₁	—	2	1	no	—
373	C₂²×C₄×C₁₁	—	2	2	no	—
374	C₂²×C₄×C₁₁	—	2	2	no	—
375	C₂²×C₄×C₁₁	—	2	2	no	—
376	C₂²×C₄×C₁₁	—	2	2	no	—
377	C₂²×C₄×C₁₁	—	4	1	no	—
378	C₂²×C₄×C₁₁	—	4	1	no	—
379	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
380	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
381	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
383	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
385	C₁₁×Q₁₆	—	4	2	no	—
386	C₁₁×SD₁₆	—	2	4	no	—
387	C₁₁×SD₁₆	—	2	4	no	—
388	C₁₁×SD₁₆	—	4	2	no	—
389	C₁₁×SD₁₆	—	4	2	no	—
390	C₁₁×SD₁₆	—	4	2	no	—
391	C₁₁×SD₁₆	—	4	2	no	—
392	C₁₁×D₈	—	2	4	no	—
393	C₁₁×D₈	—	2	4	no	—
394	C₁₁×D₈	—	4	2	no	—
395	C₁₁×D₈	—	4	2	no	—
396	C₁₁×D₈	—	4	2	no	—
397	C₁₁×M₁₆	—	4	2	no	—
398	C₁₁×M₁₆	—	4	2	no	—
399	C₁₁×M₁₆	—	4	1	no	—
400	C₁₁×M₁₆	—	4	1	no	—
401	C₂×C₈×C₁₁	—	4	1	no	—
402	C₂×C₈×C₁₁	—	4	1	no	—
403	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
404	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
405	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
406	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
407	C₁₁×C₄⋊C₄	—	2	2	no	—
408	C₁₁×C₄⋊C₄	—	2	2	no	—
409	C₁₁×C₄⋊C₄	—	2	2	no	—
410	C₁₁×C₄⋊C₄	—	2	2	no	—
411	C₁₁×C₄⋊C₄	—	2	2	no	—
412	C₁₁×C₄⋊C₄	—	2	2	no	—
413	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
414	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
415	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
416	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
417	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
418	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
419	C₁₁×C₂²⋊C₄	—	2	1	no	—
420	C₁₁×C₂²⋊C₄	—	2	2	no	—
421	C₁₁×C₂²⋊C₄	—	2	2	no	—
422	C₁₁×C₂²⋊C₄	—	2	2	no	—
423	C₁₁×C₂²⋊C₄	—	2	1	no	—
424	C₁₁×C₂²⋊C₄	—	2	1	no	—
425	C₁₁×C₂²⋊C₄	—	2	2	no	—
426	C₁₁×C₂²⋊C₄	—	2	2	no	—
427	C₁₁×C₂²⋊C₄	—	2	2	no	—
428	C₁₁×C₂²⋊C₄	—	2	2	no	—
429	C₁₁×C₂²⋊C₄	—	2	2	no	—
430	C₁₁×C₂²⋊C₄	—	2	2	no	—
431	C₁₁×C₂²⋊C₄	—	2	2	no	—
432	C₁₁×C₂²⋊C₄	—	2	2	no	—
433	C₁₁×C₂²⋊C₄	—	2	2	no	—
434	C₁₁×C₂²⋊C₄	—	2	2	no	—
435	C₁₁×C₂²⋊C₄	—	2	2	no	—
436	C₁₁×C₂²⋊C₄	—	2	2	no	—
437	C₁₁×C₂²⋊C₄	—	2	2	no	—
438	C₁₁×C₂²⋊C₄	—	2	2	no	—
439	C₁₁×C₂²⋊C₄	—	2	2	no	—
440	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
441	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
442	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
444	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
445	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
446	C₄²×C₁₁	—	2	1	no	—
447	C₄²×C₁₁	—	2	2	no	—
448	C₄²×C₁₁	—	2	1	no	—
449	C₄²×C₁₁	—	2	1	no	—
450	C₄²×C₁₁	—	2	2	no	—
451	C₄²×C₁₁	C₂⁴	1	2	yes	—
452	#3540	C₂×C₁₁	1	1	yes	characteristic, complemented
453	#3484	C₂×C₁₁	1	1	yes	characteristic, complemented
454	#3325	C₂×C₁₁	1	2	yes	complemented
455	#3324	C₂×C₁₁	1	2	yes	complemented
456	#3319	C₂×C₁₁	1	2	yes	complemented
457	#3311	C₂×C₁₁	1	2	yes	complemented
458	#3275	C₂×C₁₁	1	2	yes	complemented
459	#3273	C₂×C₁₁	1	2	yes	complemented
460	#3265	C₂×C₁₁	1	2	yes	complemented
461	#3264	C₂×C₁₁	1	2	yes	complemented
462	#3224	C₂×C₁₁	1	2	yes	complemented
463	#3200	C₂×C₁₁	1	1	yes	characteristic, complemented
464	#3199	C₂×C₁₁	1	1	yes	characteristic, complemented
465	#3197	C₂×C₁₁	1	2	yes	complemented
466	#3118	C₂×C₁₁	1	2	yes	complemented
467	#3009	C₂×C₁₁	1	1	yes	characteristic, complemented
468	#3008	C₂×C₁₁	1	1	yes	characteristic, complemented
469	#3003	C₂×C₁₁	1	2	yes	complemented
470	#2978	C₂×C₁₁	1	1	yes	characteristic, complemented
471	C₂³×C₁₁	—	2	4	no	—
472	C₂³×C₁₁	—	2	1	no	—
473	C₂³×C₁₁	—	2	1	no	—
474	C₂³×C₁₁	—	2	2	no	—
475	C₂³×C₁₁	—	2	2	no	—
476	C₂³×C₁₁	—	2	1	no	—
477	C₂³×C₁₁	—	4	1	no	—
478	C₂³×C₁₁	—	4	2	no	—
479	C₂³×C₁₁	—	4	4	no	—
480	C₂³×C₁₁	—	4	4	no	—
481	C₂³×C₁₁	—	4	2	no	—
482	C₂³×C₁₁	—	4	2	no	—
483	C₂³×C₁₁	—	4	2	no	—
484	C₂³×C₁₁	—	4	4	no	—
485	C₂³×C₁₁	—	4	4	no	—
486	C₂³×C₁₁	—	8	2	no	—
487	C₂³×C₁₁	—	8	2	no	—
488	C₂³×C₁₁	—	8	2	no	—
489	C₂³×C₁₁	—	8	2	no	—
490	C₂³×C₁₁	—	8	1	no	—
491	C₂³×C₁₁	—	8	2	no	—
492	C₂³×C₁₁	—	8	2	no	—
493	C₂³×C₁₁	—	8	2	no	—
494	C₂³×C₁₁	—	8	16	no	—
495	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
496	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
497	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
498	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
499	Q₈×C₁₁	—	2	2	no	—
500	Q₈×C₁₁	—	2	2	no	—
501	Q₈×C₁₁	—	2	1	no	—
502	Q₈×C₁₁	—	2	1	no	—
503	Q₈×C₁₁	—	4	1	no	—
504	Q₈×C₁₁	—	8	2	no	—
505	Q₈×C₁₁	—	8	1	no	—
506	D₄×C₁₁	—	2	4	no	—
507	D₄×C₁₁	—	2	1	no	—
508	D₄×C₁₁	—	2	1	no	—
509	D₄×C₁₁	—	2	2	no	—
510	D₄×C₁₁	—	2	2	no	—
511	D₄×C₁₁	—	2	1	no	—
512	D₄×C₁₁	—	2	2	no	—
513	D₄×C₁₁	—	2	2	no	—
514	D₄×C₁₁	—	2	1	no	—
515	D₄×C₁₁	—	4	1	no	—
516	D₄×C₁₁	—	4	1	no	—
517	D₄×C₁₁	—	4	1	no	—
518	D₄×C₁₁	—	4	2	no	—
519	D₄×C₁₁	—	4	2	no	—
520	D₄×C₁₁	—	4	4	no	—
521	D₄×C₁₁	—	4	4	no	—
522	D₄×C₁₁	—	4	2	no	—
523	D₄×C₁₁	—	4	2	no	—
524	D₄×C₁₁	—	4	2	no	—
525	D₄×C₁₁	—	4	2	no	—
526	D₄×C₁₁	—	4	2	no	—
527	D₄×C₁₁	—	4	2	no	—
528	D₄×C₁₁	—	4	4	no	—
529	D₄×C₁₁	—	8	1	no	—
530	D₄×C₁₁	—	8	2	no	—
531	D₄×C₁₁	—	8	2	no	—
532	D₄×C₁₁	—	8	2	no	—
533	D₄×C₁₁	—	8	2	no	—
534	D₄×C₁₁	—	8	2	no	—
535	D₄×C₁₁	—	8	2	no	—
536	D₄×C₁₁	—	8	2	no	—
537	D₄×C₁₁	—	8	2	no	—
538	D₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
539	D₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
540	C₂×C₄×C₁₁	—	2	1	no	—
541	C₂×C₄×C₁₁	—	2	1	no	—
542	C₂×C₄×C₁₁	—	2	2	no	—
543	C₂×C₄×C₁₁	—	2	2	no	—
544	C₂×C₄×C₁₁	—	2	1	no	—
545	C₂×C₄×C₁₁	—	2	1	no	—
546	C₂×C₄×C₁₁	—	2	1	no	—
547	C₂×C₄×C₁₁	—	2	1	no	—
548	C₂×C₄×C₁₁	—	2	2	no	—
549	C₂×C₄×C₁₁	—	2	2	no	—
550	C₂×C₄×C₁₁	—	2	2	no	—
551	C₂×C₄×C₁₁	—	2	2	no	—
552	C₂×C₄×C₁₁	—	2	1	no	—
553	C₂×C₄×C₁₁	—	4	2	no	—
554	C₂×C₄×C₁₁	—	4	1	no	—
555	C₂×C₄×C₁₁	—	4	2	no	—
556	C₂×C₄×C₁₁	—	4	2	no	—
557	C₂×C₄×C₁₁	—	4	2	no	—
558	C₂×C₄×C₁₁	—	8	2	no	—
559	C₂×C₄×C₁₁	—	8	2	no	—
560	C₂×C₄×C₁₁	—	8	2	no	—
561	C₂×C₄×C₁₁	—	8	2	no	—
562	C₂×C₄×C₁₁	—	8	1	no	—
563	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
564	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
565	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
566	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
567	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
568	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
569	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
570	C₈×C₁₁	—	2	2	no	—
571	C₈×C₁₁	—	2	2	no	—
572	C₈×C₁₁	—	2	2	no	—
573	C₈×C₁₁	—	2	2	no	—
574	C₂×H(5,𝔽₂)	C₂²×C₁₁	1	1	yes	characteristic
575	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
576	C₂×#137	C₂²×C₁₁	1	1	yes	characteristic, complemented
577	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	complemented
578	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	complemented
579	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	1	yes	characteristic, complemented
580	C₂²×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
581	C₂²×D₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
582	H(3,𝔽₄)	—	2	1	no	—
583	#560	—	2	1	no	—
584	#559	—	2	1	no	—
585	#556	C₂²×C₁₁	1	2	yes	complemented
586	#555	C₂²×C₁₁	1	2	yes	complemented
587	#551	—	2	1	no	—
588	#548	C₂²×C₁₁	1	2	yes	complemented
589	#546	—	2	2	no	—
590	#546	C₂²×C₁₁	1	2	yes	—
591	#546	C₂²×C₁₁	1	2	yes	complemented
592	#546	C₂²×C₁₁	1	2	yes	complemented
593	D₄²	—	2	2	no	—
594	D₄²	C₂²×C₁₁	1	2	yes	—
595	D₄²	C₂²×C₁₁	1	2	yes	complemented
596	#542	—	2	2	no	—
597	#542	C₂²×C₁₁	1	2	yes	complemented
598	#538	—	2	2	no	—
599	#536	C₂²×C₁₁	1	1	yes	characteristic, complemented
600	#535	C₂²×C₁₁	1	1	yes	characteristic
601	#535	C₂²×C₁₁	1	1	yes	characteristic, complemented
602	#535	C₂²×C₁₁	1	1	yes	characteristic, complemented
603	#534	—	2	1	no	—
604	#534	—	2	1	no	—
605	#525	C₂²×C₁₁	1	1	yes	characteristic
606	#525	C₂²×C₁₁	1	1	yes	characteristic, complemented
607	#525	C₂²×C₁₁	1	2	yes	complemented
608	C₂×#120	—	2	1	no	—
609	C₂×#120	—	2	1	no	—
610	#518	C₂²×C₁₁	1	1	yes	characteristic, complemented
611	#496	C₂²×C₁₁	1	2	yes	complemented
612	#495	C₂²×C₁₁	1	2	yes	complemented
613	#489	C₂²×C₁₁	1	2	yes	complemented
614	#486	C₂²×C₁₁	1	2	yes	complemented
615	#485	C₂²×C₁₁	1	2	yes	complemented
616	#485	C₂²×C₁₁	1	2	yes	complemented
617	#482	C₂²×C₁₁	1	2	yes	complemented
618	#482	C₂²×C₁₁	1	2	yes	complemented
619	#482	C₂²×C₁₁	1	2	yes	complemented
620	#482	C₂²×C₁₁	1	2	yes	complemented
621	#476	C₂²×C₁₁	1	2	yes	complemented
622	#474	C₂²×C₁₁	1	2	yes	complemented
623	#470	C₂²×C₁₁	1	2	yes	complemented
624	#469	C₂²×C₁₁	1	2	yes	complemented
625	#469	C₂²×C₁₁	1	2	yes	complemented
626	#468	C₂²×C₁₁	1	2	yes	complemented
627	#468	C₂²×C₁₁	1	2	yes	complemented
628	#468	C₂²×C₁₁	1	2	yes	complemented
629	#466	C₂²×C₁₁	1	2	yes	complemented
630	#465	C₂²×C₁₁	1	2	yes	complemented
631	#464	C₂²×C₁₁	1	2	yes	complemented
632	#463	C₂²×C₁₁	1	2	yes	complemented
633	#463	C₂²×C₁₁	1	2	yes	complemented
634	#463	C₂²×C₁₁	1	2	yes	complemented
635	#460	C₂²×C₁₁	1	2	yes	complemented
636	#459	C₂²×C₁₁	1	2	yes	complemented
637	#452	C₂²×C₁₁	1	2	yes	complemented
638	#452	C₂²×C₁₁	1	2	yes	complemented
639	#452	C₂²×C₁₁	1	2	yes	complemented
640	#450	C₂²×C₁₁	1	2	yes	complemented
641	#450	C₂²×C₁₁	1	2	yes	complemented
642	#450	C₂²×C₁₁	1	2	yes	complemented
643	#450	C₂²×C₁₁	1	2	yes	complemented
644	#450	C₂²×C₁₁	1	2	yes	complemented
645	#449	C₂²×C₁₁	1	2	yes	complemented
646	#449	C₂²×C₁₁	1	2	yes	complemented
647	#449	C₂²×C₁₁	1	2	yes	complemented
648	#448	C₂²×C₁₁	1	2	yes	complemented
649	#447	C₂²×C₁₁	1	2	yes	—
650	#447	C₂²×C₁₁	1	2	yes	complemented
651	#447	C₂²×C₁₁	1	2	yes	complemented
652	#447	C₂²×C₁₁	1	2	yes	complemented
653	#447	C₂²×C₁₁	1	2	yes	complemented
654	#447	C₂²×C₁₁	1	2	yes	complemented
655	#442	C₂²×C₁₁	1	2	yes	complemented
656	#440	C₂²×C₁₁	1	2	yes	complemented
657	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
658	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
659	#436	C₂²×C₁₁	1	2	yes	complemented
660	#436	C₂²×C₁₁	1	2	yes	complemented
661	#435	C₂²×C₁₁	1	2	yes	complemented
662	#435	C₂²×C₁₁	1	2	yes	complemented
663	#433	C₂²×C₁₁	1	2	yes	complemented
664	#418	C₂²×C₁₁	1	2	yes	complemented
665	#418	C₂²×C₁₁	1	2	yes	complemented
666	#418	C₂²×C₁₁	1	1	yes	characteristic, complemented
667	#418	C₂²×C₁₁	1	1	yes	characteristic, complemented
668	#416	C₂²×C₁₁	1	1	yes	characteristic, complemented
669	#416	C₂²×C₁₁	1	1	yes	characteristic, complemented
670	#408	C₂²×C₁₁	1	1	yes	characteristic, complemented
671	#408	C₂²×C₁₁	1	1	yes	characteristic, complemented
672	#407	C₂²×C₁₁	1	2	yes	complemented
673	C₂²×C₁₁	—	2	2	no	—
674	C₂²×C₁₁	—	2	2	no	—
675	C₂²×C₁₁	—	2	2	no	—
676	C₂²×C₁₁	—	2	2	no	—
677	C₂²×C₁₁	—	2	2	no	—
678	C₂²×C₁₁	—	2	1	no	—
679	C₂²×C₁₁	—	2	2	no	—
680	C₂²×C₁₁	—	2	1	no	—
681	C₂²×C₁₁	—	2	1	no	—
682	C₂²×C₁₁	—	2	2	no	—
683	C₂²×C₁₁	—	2	2	no	—
684	C₂²×C₁₁	—	4	4	no	—
685	C₂²×C₁₁	—	4	2	no	—
686	C₂²×C₁₁	—	4	2	no	—
687	C₂²×C₁₁	—	4	2	no	—
688	C₂²×C₁₁	—	4	2	no	—
689	C₂²×C₁₁	—	4	2	no	—
690	C₂²×C₁₁	—	4	2	no	—
691	C₂²×C₁₁	—	4	2	no	—
692	C₂²×C₁₁	—	4	1	no	—
693	C₂²×C₁₁	—	4	2	no	—
694	C₂²×C₁₁	—	4	2	no	—
695	C₂²×C₁₁	—	8	4	no	—
696	C₂²×C₁₁	—	8	8	no	—
697	C₂²×C₁₁	—	8	8	no	—
698	C₂²×C₁₁	—	8	4	no	—
699	C₂²×C₁₁	—	16	2	no	—
700	C₂²×C₁₁	—	16	2	no	—
701	C₂²×C₁₁	—	16	2	no	—
702	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
703	C₄×C₁₁	—	2	2	no	—
704	C₄×C₁₁	—	2	2	no	—
705	C₄×C₁₁	—	2	1	no	—
706	C₄×C₁₁	—	2	2	no	—
707	C₄×C₁₁	—	2	1	no	—
708	C₄×C₁₁	—	2	1	no	—
709	C₄×C₁₁	—	4	2	no	—
710	C₄×C₁₁	—	4	2	no	—
711	C₄×C₁₁	—	4	2	no	—
712	C₄×C₁₁	—	4	1	no	—
713	C₄×C₁₁	—	4	2	no	—
714	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
715	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
716	C₂⁵	—	2	1	no	—
717	H(5,𝔽₂)	—	4	2	no	—
718	H(5,𝔽₂)	—	4	2	no	—
719	C₂×#41	—	2	1	no	—
720	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
721	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
722	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
723	C₂×#41	C₂³×C₁₁	1	2	yes	—
724	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
725	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic, complemented
726	C₂²×D₄	—	2	1	no	—
727	C₂²×D₄	—	2	1	no	—
728	C₂²×D₄	—	2	1	no	—
729	C₂²×D₄	—	2	2	no	—
730	C₂²×D₄	—	2	2	no	—
731	C₂²×D₄	—	2	1	no	—
732	C₂²×D₄	—	2	2	no	—
733	C₂²×D₄	—	4	2	no	—
734	C₂²×D₄	—	4	2	no	—
735	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
736	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
737	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
738	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
739	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
740	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
741	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic, complemented
742	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
743	#137	—	4	2	no	—
744	AGL(1,ℤ/8)	—	4	2	no	—
745	AGL(1,ℤ/8)	—	4	4	no	—
746	AGL(1,ℤ/8)	—	4	4	no	—
747	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	complemented
748	C₂×SD₁₆	—	4	2	no	—
749	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
750	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
751	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
752	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
753	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	complemented
754	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	complemented
755	C₂×D₈	—	4	2	no	—
756	C₂×D₈	C₂³×C₁₁	1	2	yes	—
757	C₂×D₈	C₂³×C₁₁	1	2	yes	—
758	C₂×D₈	C₂³×C₁₁	1	2	yes	—
759	C₂×D₈	C₂³×C₁₁	1	2	yes	—
760	C₂×D₈	C₂³×C₁₁	1	2	yes	complemented
761	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
762	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
763	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic, complemented
764	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic, complemented
765	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic, complemented
766	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic, complemented
767	C₄⋊Q₈	—	2	1	no	—
768	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	complemented
769	#127	—	2	1	no	—
770	#127	—	2	1	no	—
771	#127	C₂³×C₁₁	1	2	yes	—
772	#126	—	2	2	no	—
773	#126	—	2	2	no	—
774	#126	—	2	2	no	—
775	#124	—	2	1	no	—
776	#124	—	2	1	no	—
777	#124	—	2	1	no	—
778	#124	—	2	2	no	—
779	#124	—	2	2	no	—
780	#124	—	2	2	no	—
781	#124	—	2	2	no	—
782	#124	—	2	2	no	—
783	#124	C₂³×C₁₁	1	2	yes	—
784	#124	C₂³×C₁₁	1	2	yes	complemented
785	#123	—	2	1	no	—
786	#123	—	2	1	no	—
787	#123	—	2	1	no	—
788	#123	—	2	2	no	—
789	#123	—	2	2	no	—
790	#123	—	2	2	no	—
791	#123	—	2	2	no	—
792	#123	—	2	2	no	—
793	#123	D₄×C₁₁	1	1	yes	characteristic
794	#123	D₄×C₁₁	1	1	yes	characteristic
795	C₂²⋊Q₈	—	2	2	no	—
796	C₂²⋊Q₈	—	2	2	no	—
797	C₂²⋊Q₈	D₄×C₁₁	1	2	yes	—
798	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
799	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
800	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
801	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	complemented
802	#121	—	2	2	no	—
803	#121	—	2	2	no	—
804	#121	—	2	2	no	—
805	#121	—	2	2	no	—
806	#121	—	2	2	no	—
807	#121	—	2	2	no	—
808	#121	—	2	2	no	—
809	#121	—	2	2	no	—
810	#121	D₄×C₁₁	1	2	yes	—
811	#121	C₂³×C₁₁	1	2	yes	—
812	#121	C₂³×C₁₁	1	2	yes	—
813	#121	C₂³×C₁₁	1	2	yes	—
814	#121	C₂³×C₁₁	1	2	yes	—
815	#121	C₂³×C₁₁	1	2	yes	—
816	#121	C₂³×C₁₁	1	2	yes	complemented
817	#120	—	2	1	no	—
818	#120	—	2	2	no	—
819	#120	—	2	1	no	—
820	#120	—	2	1	no	—
821	#120	—	2	2	no	—
822	#120	—	2	2	no	—
823	#120	—	2	1	no	—
824	#120	—	2	1	no	—
825	#120	—	2	2	no	—
826	#120	—	2	1	no	—
827	#120	—	2	1	no	—
828	#120	—	2	2	no	—
829	#120	—	2	2	no	—
830	#120	—	2	2	no	—
831	#120	—	2	2	no	—
832	#120	D₄×C₁₁	1	1	yes	characteristic
833	#120	D₄×C₁₁	1	1	yes	characteristic
834	C₄×Q₈	—	2	2	no	—
835	C₄×Q₈	C₂³×C₁₁	1	2	yes	complemented
836	C₄×D₄	—	2	2	no	—
837	C₄×D₄	—	2	2	no	—
838	C₄×D₄	—	2	2	no	—
839	C₄×D₄	—	2	2	no	—
840	C₄×D₄	—	2	2	no	—
841	C₄×D₄	C₂³×C₁₁	1	2	yes	—
842	C₄×D₄	C₂³×C₁₁	1	2	yes	—
843	C₄×D₄	C₂³×C₁₁	1	2	yes	—
844	C₄×D₄	C₂³×C₁₁	1	2	yes	—
845	C₄×D₄	C₂³×C₁₁	1	2	yes	complemented
846	#117	—	2	2	no	—
847	#117	C₂³×C₁₁	1	1	yes	characteristic
848	#117	C₂³×C₁₁	1	2	yes	—
849	#117	C₂³×C₁₁	1	1	yes	characteristic
850	#117	C₂³×C₁₁	1	1	yes	characteristic, complemented
851	#117	C₂³×C₁₁	1	1	yes	characteristic, complemented
852	C₂×C₂²⋊C₄	—	2	1	no	—
853	C₂×C₂²⋊C₄	—	2	1	no	—
854	C₂×C₂²⋊C₄	—	2	2	no	—
855	C₂×C₂²⋊C₄	—	2	2	no	—
856	C₂×C₂²⋊C₄	—	2	2	no	—
857	#107	C₂³×C₁₁	1	2	yes	complemented
858	#107	C₂³×C₁₁	1	2	yes	complemented
859	#106	C₂³×C₁₁	1	2	yes	complemented
860	#106	C₂³×C₁₁	1	2	yes	complemented
861	C₄⋊C₈	C₂³×C₁₁	1	2	yes	complemented
862	C₄⋊C₈	C₂³×C₁₁	1	2	yes	complemented
863	#103	C₂³×C₁₁	1	2	yes	complemented
864	#103	C₂³×C₁₁	1	2	yes	complemented
865	#103	C₂³×C₁₁	1	2	yes	complemented
866	#103	C₂³×C₁₁	1	2	yes	complemented
867	#102	C₂³×C₁₁	1	2	yes	—
868	#102	C₂³×C₁₁	1	2	yes	—
869	#102	C₂³×C₁₁	1	2	yes	—
870	#102	C₂³×C₁₁	1	2	yes	—
871	#102	C₂³×C₁₁	1	2	yes	—
872	#102	C₂³×C₁₁	1	2	yes	—
873	#102	C₂³×C₁₁	1	2	yes	—
874	#102	C₂³×C₁₁	1	2	yes	—
875	#102	C₂³×C₁₁	1	2	yes	complemented
876	#102	C₂³×C₁₁	1	2	yes	complemented
877	#102	C₂³×C₁₁	1	2	yes	complemented
878	#102	C₂³×C₁₁	1	2	yes	complemented
879	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
880	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
881	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
882	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
883	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	complemented
884	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	complemented
885	#97	C₂³×C₁₁	1	2	yes	complemented
886	C₄×C₈	C₂³×C₁₁	1	2	yes	complemented
887	C₂×C₁₁	—	4	2	no	—
888	C₂×C₁₁	—	4	1	no	—
889	C₂×C₁₁	—	4	1	no	—
890	C₂×C₁₁	—	4	1	no	—
891	C₂×C₁₁	—	4	2	no	—
892	C₂×C₁₁	—	4	2	no	—
893	C₂×C₁₁	—	8	2	no	—
894	C₂×C₁₁	—	8	2	no	—
895	C₂×C₁₁	—	8	1	no	—
896	C₂×C₁₁	#3484	1	1	yes	characteristic
897	C₂×C₁₁	#3585	1	2	yes	—
898	C₂⁴	—	2	1	no	—
899	C₂⁴	—	2	2	no	—
900	C₂⁴	—	2	2	no	—
901	C₂⁴	—	2	1	no	—
902	C₂⁴	—	2	1	no	—
903	C₂⁴	—	2	1	no	—
904	C₂⁴	—	2	1	no	—
905	C₂⁴	—	4	4	no	—
906	C₂⁴	—	8	4	no	—
907	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
908	#41	—	2	2	no	—
909	#41	—	2	2	no	—
910	#41	—	4	1	no	—
911	#41	—	4	1	no	—
912	#41	—	4	1	no	—
913	#41	—	4	1	no	—
914	#41	—	4	1	no	—
915	#41	—	4	1	no	—
916	#41	—	4	2	no	—
917	#41	—	4	2	no	—
918	#41	—	4	4	no	—
919	C₂×Q₈	—	2	2	no	—
920	C₂×Q₈	—	2	1	no	—
921	C₂×Q₈	—	4	1	no	—
922	C₂×Q₈	—	4	1	no	—
923	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
924	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
925	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	2	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	4	no	—
931	C₂×D₄	—	2	4	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	1	no	—
934	C₂×D₄	—	2	1	no	—
935	C₂×D₄	—	2	1	no	—
936	C₂×D₄	—	2	2	no	—
937	C₂×D₄	—	2	2	no	—
938	C₂×D₄	—	2	2	no	—
939	C₂×D₄	—	2	2	no	—
940	C₂×D₄	—	2	2	no	—
941	C₂×D₄	—	2	2	no	—
942	C₂×D₄	—	2	1	no	—
943	C₂×D₄	—	2	1	no	—
944	C₂×D₄	—	2	1	no	—
945	C₂×D₄	—	2	2	no	—
946	C₂×D₄	—	2	2	no	—
947	C₂×D₄	—	2	1	no	—
948	C₂×D₄	—	2	2	no	—
949	C₂×D₄	—	2	2	no	—
950	C₂×D₄	—	2	1	no	—
951	C₂×D₄	—	4	2	no	—
952	C₂×D₄	—	4	2	no	—
953	C₂×D₄	—	4	1	no	—
954	C₂×D₄	—	4	1	no	—
955	C₂×D₄	—	4	1	no	—
956	C₂×D₄	—	4	1	no	—
957	C₂×D₄	—	4	1	no	—
958	C₂×D₄	—	4	1	no	—
959	C₂×D₄	—	4	8	no	—
960	C₂×D₄	—	4	4	no	—
961	C₂×D₄	—	4	4	no	—
962	C₂×D₄	—	4	4	no	—
963	C₂×D₄	—	4	4	no	—
964	C₂×D₄	—	8	4	no	—
965	C₂×D₄	—	8	4	no	—
966	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
967	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
968	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
969	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
970	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
971	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
972	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
973	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
974	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
975	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
976	C₂²×C₄	—	2	1	no	—
977	C₂²×C₄	—	2	1	no	—
978	C₂²×C₄	—	2	1	no	—
979	C₂²×C₄	—	2	1	no	—
980	C₂²×C₄	—	2	2	no	—
981	C₂²×C₄	—	2	2	no	—
982	C₂²×C₄	—	2	2	no	—
983	C₂²×C₄	—	2	2	no	—
984	C₂²×C₄	—	4	1	no	—
985	C₂²×C₄	—	4	1	no	—
986	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
987	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
988	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
989	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
990	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
991	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
992	Q₁₆	—	4	2	no	—
993	SD₁₆	—	2	4	no	—
994	SD₁₆	—	2	4	no	—
995	SD₁₆	—	4	2	no	—
996	SD₁₆	—	4	2	no	—
997	SD₁₆	—	4	2	no	—
998	SD₁₆	—	4	2	no	—
999	D₈	—	2	4	no	—
1000	D₈	—	2	4	no	—
1001	D₈	—	4	2	no	—
1002	D₈	—	4	2	no	—
1003	D₈	—	4	2	no	—
1004	M₁₆	—	4	2	no	—
1005	M₁₆	—	4	2	no	—
1006	M₁₆	—	4	1	no	—
1007	M₁₆	—	4	1	no	—
1008	C₂×C₈	—	4	1	no	—
1009	C₂×C₈	—	4	1	no	—
1010	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
1011	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
1012	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
1013	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
1014	C₄⋊C₄	—	2	2	no	—
1015	C₄⋊C₄	—	2	2	no	—
1016	C₄⋊C₄	—	2	2	no	—
1017	C₄⋊C₄	—	2	2	no	—
1018	C₄⋊C₄	—	2	2	no	—
1019	C₄⋊C₄	—	2	2	no	—
1020	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1021	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1022	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1023	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
1024	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
1025	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
1026	C₂²⋊C₄	—	2	1	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	1	no	—
1031	C₂²⋊C₄	—	2	1	no	—
1032	C₂²⋊C₄	—	2	2	no	—
1033	C₂²⋊C₄	—	2	2	no	—
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	2	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	2	no	—
1039	C₂²⋊C₄	—	2	2	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	—	2	2	no	—
1042	C₂²⋊C₄	—	2	2	no	—
1043	C₂²⋊C₄	—	2	2	no	—
1044	C₂²⋊C₄	—	2	2	no	—
1045	C₂²⋊C₄	—	2	2	no	—
1046	C₂²⋊C₄	—	2	2	no	—
1047	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1048	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1049	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1050	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1051	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1052	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1053	C₄²	—	2	1	no	—
1054	C₄²	—	2	2	no	—
1055	C₄²	—	2	1	no	—
1056	C₄²	—	2	1	no	—
1057	C₄²	—	2	2	no	—
1058	C₄²	C₂⁴×C₁₁	1	2	yes	—
1059	C₁₁	#61644	1	1	yes	characteristic, direct product factor, Sylow
1060	C₂³	—	2	4	no	—
1061	C₂³	—	2	1	no	—
1062	C₂³	—	2	1	no	—
1063	C₂³	—	2	2	no	—
1064	C₂³	—	2	2	no	—
1065	C₂³	—	2	1	no	—
1066	C₂³	—	4	1	no	—
1067	C₂³	—	4	2	no	—
1068	C₂³	—	4	4	no	—
1069	C₂³	—	4	4	no	—
1070	C₂³	—	4	2	no	—
1071	C₂³	—	4	2	no	—
1072	C₂³	—	4	2	no	—
1073	C₂³	—	4	4	no	—
1074	C₂³	—	4	4	no	—
1075	C₂³	—	8	2	no	—
1076	C₂³	—	8	2	no	—
1077	C₂³	—	8	2	no	—
1078	C₂³	—	8	2	no	—
1079	C₂³	—	8	1	no	—
1080	C₂³	—	8	2	no	—
1081	C₂³	—	8	2	no	—
1082	C₂³	—	8	2	no	—
1083	C₂³	—	8	16	no	—
1084	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1085	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
1086	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1087	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1088	Q₈	—	2	2	no	—
1089	Q₈	—	2	2	no	—
1090	Q₈	—	2	1	no	—
1091	Q₈	—	2	1	no	—
1092	Q₈	—	4	1	no	—
1093	Q₈	—	8	2	no	—
1094	Q₈	—	8	1	no	—
1095	D₄	—	2	4	no	—
1096	D₄	—	2	1	no	—
1097	D₄	—	2	1	no	—
1098	D₄	—	2	2	no	—
1099	D₄	—	2	2	no	—
1100	D₄	—	2	1	no	—
1101	D₄	—	2	2	no	—
1102	D₄	—	2	2	no	—
1103	D₄	—	2	1	no	—
1104	D₄	—	4	1	no	—
1105	D₄	—	4	1	no	—
1106	D₄	—	4	1	no	—
1107	D₄	—	4	2	no	—
1108	D₄	—	4	2	no	—
1109	D₄	—	4	4	no	—
1110	D₄	—	4	4	no	—
1111	D₄	—	4	2	no	—
1112	D₄	—	4	2	no	—
1113	D₄	—	4	2	no	—
1114	D₄	—	4	2	no	—
1115	D₄	—	4	2	no	—
1116	D₄	—	4	2	no	—
1117	D₄	—	4	4	no	—
1118	D₄	—	8	1	no	—
1119	D₄	—	8	2	no	—
1120	D₄	—	8	2	no	—
1121	D₄	—	8	2	no	—
1122	D₄	—	8	2	no	—
1123	D₄	—	8	2	no	—
1124	D₄	—	8	2	no	—
1125	D₄	—	8	2	no	—
1126	D₄	—	8	2	no	—
1127	D₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
1128	D₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	2	no	—
1132	C₂×C₄	—	2	2	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	2	no	—
1138	C₂×C₄	—	2	2	no	—
1139	C₂×C₄	—	2	2	no	—
1140	C₂×C₄	—	2	2	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	4	2	no	—
1143	C₂×C₄	—	4	1	no	—
1144	C₂×C₄	—	4	2	no	—
1145	C₂×C₄	—	4	2	no	—
1146	C₂×C₄	—	4	2	no	—
1147	C₂×C₄	—	8	2	no	—
1148	C₂×C₄	—	8	2	no	—
1149	C₂×C₄	—	8	2	no	—
1150	C₂×C₄	—	8	2	no	—
1151	C₂×C₄	—	8	1	no	—
1152	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1153	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1154	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1155	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1156	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1157	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1158	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
1159	C₈	—	2	2	no	—
1160	C₈	—	2	2	no	—
1161	C₈	—	2	2	no	—
1162	C₈	—	2	2	no	—
1163	C₂²	—	2	1	no	—
1164	C₂²	—	2	2	no	—
1165	C₂²	—	2	1	no	—
1166	C₂²	—	2	1	no	—
1167	C₂²	—	2	2	no	—
1168	C₂²	—	2	2	no	—
1169	C₂²	—	2	2	no	—
1170	C₂²	—	2	2	no	—
1171	C₂²	—	2	2	no	—
1172	C₂²	—	2	2	no	—
1173	C₂²	—	2	2	no	—
1174	C₂²	—	4	4	no	—
1175	C₂²	—	4	2	no	—
1176	C₂²	—	4	2	no	—
1177	C₂²	—	4	1	no	—
1178	C₂²	—	4	2	no	—
1179	C₂²	—	4	2	no	—
1180	C₂²	—	4	2	no	—
1181	C₂²	—	4	2	no	—
1182	C₂²	—	4	2	no	—
1183	C₂²	—	4	2	no	—
1184	C₂²	—	4	2	no	—
1185	C₂²	—	8	4	no	—
1186	C₂²	—	8	8	no	—
1187	C₂²	—	8	8	no	—
1188	C₂²	—	8	4	no	—
1189	C₂²	—	16	2	no	—
1190	C₂²	—	16	2	no	—
1191	C₂²	—	16	2	no	—
1192	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
1193	C₄	—	2	1	no	—
1194	C₄	—	2	2	no	—
1195	C₄	—	2	1	no	—
1196	C₄	—	2	1	no	—
1197	C₄	—	2	2	no	—
1198	C₄	—	2	2	no	—
1199	C₄	—	4	1	no	—
1200	C₄	—	4	2	no	—
1201	C₄	—	4	2	no	—
1202	C₄	—	4	2	no	—
1203	C₄	—	4	2	no	—
1204	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1205	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1206	C₂	—	4	1	no	—
1207	C₂	—	4	2	no	—
1208	C₂	—	4	1	no	—
1209	C₂	—	4	1	no	—
1210	C₂	—	4	2	no	—
1211	C₂	—	4	2	no	—
1212	C₂	—	8	2	no	—
1213	C₂	—	8	1	no	—
1214	C₂	—	8	2	no	—
1215	C₂	C₁₁×#3484	1	1	yes	characteristic
1216	C₂	C₁₁×#3585	1	2	yes	—

	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×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3540	C₂	semidirect
2. C₁₁×#3484	C₂	semidirect
3. C₁₁×#3325	C₂	semidirect
4. C₁₁×#3324	C₂	semidirect
5. C₁₁×#3319	C₂	semidirect
6. C₁₁×#3311	C₂	semidirect
7. C₁₁×#3275	C₂	semidirect
8. C₁₁×#3273	C₂	semidirect
9. C₁₁×#3265	C₂	semidirect
10. C₁₁×#3264	C₂	semidirect
11. C₁₁×#3224	C₂	semidirect
12. C₁₁×#3200	C₂	semidirect
13. C₁₁×#3199	C₂	semidirect
14. C₁₁×#3197	C₂	semidirect
15. C₁₁×#3118	C₂	semidirect
16. C₁₁×#3009	C₂	semidirect
17. C₁₁×#3008	C₂	semidirect
18. C₁₁×#3003	C₂	semidirect
19. C₁₁×#2978	C₂	semidirect
21. C₂³×D₄×C₁₁	C₂²	semidirect
22. C₂×C₁₁×#137	C₂²	semidirect
23. C₂×C₁₁×AGL(1,ℤ/8)	C₂²	semidirect
24. C₂×C₁₁×AGL(1,ℤ/8)	C₂²	semidirect
25. C₂×C₁₁×AGL(1,ℤ/8)	C₂²	semidirect
26. C₂²×C₁₁×SD₁₆	C₂²	semidirect
27. C₂²×C₁₁×D₈	C₂²	semidirect
31. C₁₁×#556	C₂²	semidirect
32. C₁₁×#555	C₂²	semidirect
34. C₁₁×#548	C₂²	semidirect
37. C₁₁×#546	C₂²	semidirect
38. C₁₁×#546	C₂²	semidirect
41. D₄²×C₁₁	C₂²	semidirect
43. C₁₁×#542	C₂²	semidirect
45. C₁₁×#536	C₂²	semidirect
47. C₁₁×#535	C₂²	semidirect
48. C₁₁×#535	C₂²	semidirect
52. C₁₁×#525	C₂²	semidirect
53. C₁₁×#525	C₂²	semidirect
56. C₁₁×#518	C₂²	semidirect
57. C₁₁×#496	C₂²	semidirect
58. C₁₁×#495	C₂²	semidirect
59. C₁₁×#489	C₂²	semidirect
60. C₁₁×#486	C₂²	semidirect
61. C₁₁×#485	C₂²	semidirect
62. C₁₁×#485	C₂²	semidirect
63. C₁₁×#482	C₂²	semidirect
64. C₁₁×#482	C₂²	semidirect
65. C₁₁×#482	C₂²	semidirect
66. C₁₁×#482	C₂²	semidirect
67. C₁₁×#476	C₂²	semidirect
68. C₁₁×#474	C₂²	semidirect
69. C₁₁×#470	C₂²	semidirect
70. C₁₁×#469	C₂²	semidirect
71. C₁₁×#469	C₂²	semidirect
72. C₁₁×#468	C₂²	semidirect
73. C₁₁×#468	C₂²	semidirect
74. C₁₁×#468	C₂²	semidirect
75. C₁₁×#466	C₂²	semidirect
76. C₁₁×#465	C₂²	semidirect
77. C₁₁×#464	C₂²	semidirect
78. C₁₁×#463	C₂²	semidirect
79. C₁₁×#463	C₂²	semidirect
80. C₁₁×#463	C₂²	semidirect
81. C₁₁×#460	C₂²	semidirect
82. C₁₁×#459	C₂²	semidirect
83. C₁₁×#452	C₂²	semidirect
84. C₁₁×#452	C₂²	semidirect
85. C₁₁×#452	C₂²	semidirect
86. C₁₁×#450	C₂²	semidirect
87. C₁₁×#450	C₂²	semidirect
88. C₁₁×#450	C₂²	semidirect
89. C₁₁×#450	C₂²	semidirect
90. C₁₁×#450	C₂²	semidirect
91. C₁₁×#449	C₂²	semidirect
92. C₁₁×#449	C₂²	semidirect
93. C₁₁×#449	C₂²	semidirect
94. C₁₁×#448	C₂²	semidirect
96. C₁₁×#447	C₂²	semidirect
97. C₁₁×#447	C₂²	semidirect
98. C₁₁×#447	C₂²	semidirect
99. C₁₁×#447	C₂²	semidirect
100. C₁₁×#447	C₂²	semidirect
101. C₁₁×#442	C₂²	semidirect
102. C₁₁×#440	C₂²	semidirect
103. C₄×C₁₁×SD₁₆	C₂²	semidirect
104. C₄×C₁₁×D₈	C₂²	semidirect
105. C₁₁×#436	C₂²	semidirect
106. C₁₁×#436	C₂²	semidirect
107. C₁₁×#435	C₂²	semidirect
108. C₁₁×#435	C₂²	semidirect
109. C₁₁×#433	C₂²	semidirect
110. C₁₁×#418	C₂²	semidirect
111. C₁₁×#418	C₂²	semidirect
112. C₁₁×#418	C₂²	semidirect
113. C₁₁×#418	C₂²	semidirect
114. C₁₁×#416	C₂²	semidirect
115. C₁₁×#416	C₂²	semidirect
116. C₁₁×#408	C₂²	semidirect
117. C₁₁×#408	C₂²	semidirect
118. C₁₁×#407	C₂²	semidirect
128. C₂²×Q₈×C₁₁	C₂³	semidirect
144. C₂²×D₄×C₁₁	C₂³	semidirect
150. C₂×C₁₁×Q₁₆	C₂³	semidirect
156. C₂×C₁₁×SD₁₆	C₂³	semidirect
157. C₂×C₁₁×SD₁₆	C₂³	semidirect
163. C₂×C₁₁×D₈	C₂³	semidirect
166. C₂×C₁₁×M₁₆	C₂³	semidirect
167. C₂×C₁₁×M₁₆	C₂³	semidirect
168. C₂²×C₈×C₁₁	C₂³	semidirect
169. C₂²×C₈×C₁₁	C₂³	semidirect
171. C₁₁×C₄⋊Q₈	C₂³	semidirect
187. C₁₁×#124	C₂³	semidirect
204. C₁₁×C₂²⋊Q₈	C₂³	semidirect
219. C₁₁×#121	C₂³	semidirect
238. C₄×Q₈×C₁₁	C₂³	semidirect
248. C₄×D₄×C₁₁	C₂³	semidirect
253. C₁₁×#117	C₂³	semidirect
254. C₁₁×#117	C₂³	semidirect
260. C₁₁×#107	C₂³	semidirect
261. C₁₁×#107	C₂³	semidirect
262. C₁₁×#106	C₂³	semidirect
263. C₁₁×#106	C₂³	semidirect
264. C₁₁×C₄⋊C₈	C₂³	semidirect
265. C₁₁×C₄⋊C₈	C₂³	semidirect
266. C₁₁×#103	C₂³	semidirect
267. C₁₁×#103	C₂³	semidirect
268. C₁₁×#103	C₂³	semidirect
269. C₁₁×#103	C₂³	semidirect
278. C₁₁×#102	C₂³	semidirect
279. C₁₁×#102	C₂³	semidirect
280. C₁₁×#102	C₂³	semidirect
281. C₁₁×#102	C₂³	semidirect
286. C₁₁×C₂²⋊C₈	C₂³	semidirect
287. C₁₁×C₂²⋊C₈	C₂³	semidirect
288. C₁₁×#97	C₂³	semidirect
289. C₄×C₈×C₁₁	C₂³	semidirect
290. #61644	C₁₁	direct (N × H)
452. #3540	C₂×C₁₁	semidirect
453. #3484	C₂×C₁₁	semidirect
454. #3325	C₂×C₁₁	semidirect
455. #3324	C₂×C₁₁	semidirect
456. #3319	C₂×C₁₁	semidirect
457. #3311	C₂×C₁₁	semidirect
458. #3275	C₂×C₁₁	semidirect
459. #3273	C₂×C₁₁	semidirect
460. #3265	C₂×C₁₁	semidirect
461. #3264	C₂×C₁₁	semidirect
462. #3224	C₂×C₁₁	semidirect
463. #3200	C₂×C₁₁	semidirect
464. #3199	C₂×C₁₁	semidirect
465. #3197	C₂×C₁₁	semidirect
466. #3118	C₂×C₁₁	semidirect
467. #3009	C₂×C₁₁	semidirect
468. #3008	C₂×C₁₁	semidirect
469. #3003	C₂×C₁₁	semidirect
470. #2978	C₂×C₁₁	semidirect
575. C₂³×D₄	C₂²×C₁₁	semidirect
576. C₂×#137	C₂²×C₁₁	semidirect
577. C₂×AGL(1,ℤ/8)	C₂²×C₁₁	semidirect
578. C₂×AGL(1,ℤ/8)	C₂²×C₁₁	semidirect
579. C₂×AGL(1,ℤ/8)	C₂²×C₁₁	semidirect
580. C₂²×SD₁₆	C₂²×C₁₁	semidirect
581. C₂²×D₈	C₂²×C₁₁	semidirect
585. #556	C₂²×C₁₁	semidirect
586. #555	C₂²×C₁₁	semidirect
588. #548	C₂²×C₁₁	semidirect
591. #546	C₂²×C₁₁	semidirect
592. #546	C₂²×C₁₁	semidirect
595. D₄²	C₂²×C₁₁	semidirect
597. #542	C₂²×C₁₁	semidirect
599. #536	C₂²×C₁₁	semidirect
601. #535	C₂²×C₁₁	semidirect
602. #535	C₂²×C₁₁	semidirect
606. #525	C₂²×C₁₁	semidirect
607. #525	C₂²×C₁₁	semidirect
610. #518	C₂²×C₁₁	semidirect
611. #496	C₂²×C₁₁	semidirect
612. #495	C₂²×C₁₁	semidirect
613. #489	C₂²×C₁₁	semidirect
614. #486	C₂²×C₁₁	semidirect
615. #485	C₂²×C₁₁	semidirect
616. #485	C₂²×C₁₁	semidirect
617. #482	C₂²×C₁₁	semidirect
618. #482	C₂²×C₁₁	semidirect
619. #482	C₂²×C₁₁	semidirect
620. #482	C₂²×C₁₁	semidirect
621. #476	C₂²×C₁₁	semidirect
622. #474	C₂²×C₁₁	semidirect
623. #470	C₂²×C₁₁	semidirect
624. #469	C₂²×C₁₁	semidirect
625. #469	C₂²×C₁₁	semidirect
626. #468	C₂²×C₁₁	semidirect
627. #468	C₂²×C₁₁	semidirect
628. #468	C₂²×C₁₁	semidirect
629. #466	C₂²×C₁₁	semidirect
630. #465	C₂²×C₁₁	semidirect
631. #464	C₂²×C₁₁	semidirect
632. #463	C₂²×C₁₁	semidirect
633. #463	C₂²×C₁₁	semidirect
634. #463	C₂²×C₁₁	semidirect
635. #460	C₂²×C₁₁	semidirect
636. #459	C₂²×C₁₁	semidirect
637. #452	C₂²×C₁₁	semidirect
638. #452	C₂²×C₁₁	semidirect
639. #452	C₂²×C₁₁	semidirect
640. #450	C₂²×C₁₁	semidirect
641. #450	C₂²×C₁₁	semidirect
642. #450	C₂²×C₁₁	semidirect
643. #450	C₂²×C₁₁	semidirect
644. #450	C₂²×C₁₁	semidirect
645. #449	C₂²×C₁₁	semidirect
646. #449	C₂²×C₁₁	semidirect
647. #449	C₂²×C₁₁	semidirect
648. #448	C₂²×C₁₁	semidirect
650. #447	C₂²×C₁₁	semidirect
651. #447	C₂²×C₁₁	semidirect
652. #447	C₂²×C₁₁	semidirect
653. #447	C₂²×C₁₁	semidirect
654. #447	C₂²×C₁₁	semidirect
655. #442	C₂²×C₁₁	semidirect
656. #440	C₂²×C₁₁	semidirect
657. C₄×SD₁₆	C₂²×C₁₁	semidirect
658. C₄×D₈	C₂²×C₁₁	semidirect
659. #436	C₂²×C₁₁	semidirect
660. #436	C₂²×C₁₁	semidirect
661. #435	C₂²×C₁₁	semidirect
662. #435	C₂²×C₁₁	semidirect
663. #433	C₂²×C₁₁	semidirect
664. #418	C₂²×C₁₁	semidirect
665. #418	C₂²×C₁₁	semidirect
666. #418	C₂²×C₁₁	semidirect
667. #418	C₂²×C₁₁	semidirect
668. #416	C₂²×C₁₁	semidirect
669. #416	C₂²×C₁₁	semidirect
670. #408	C₂²×C₁₁	semidirect
671. #408	C₂²×C₁₁	semidirect
672. #407	C₂²×C₁₁	semidirect
725. C₂²×Q₈	C₂³×C₁₁	semidirect
741. C₂²×D₄	C₂³×C₁₁	semidirect
747. C₂×Q₁₆	C₂³×C₁₁	semidirect
753. C₂×SD₁₆	C₂³×C₁₁	semidirect
754. C₂×SD₁₆	C₂³×C₁₁	semidirect
760. C₂×D₈	C₂³×C₁₁	semidirect
763. C₂×M₁₆	C₂³×C₁₁	semidirect
764. C₂×M₁₆	C₂³×C₁₁	semidirect
765. C₂²×C₈	C₂³×C₁₁	semidirect
766. C₂²×C₈	C₂³×C₁₁	semidirect
768. C₄⋊Q₈	C₂³×C₁₁	semidirect
784. #124	C₂³×C₁₁	semidirect
801. C₂²⋊Q₈	C₂³×C₁₁	semidirect
816. #121	C₂³×C₁₁	semidirect
835. C₄×Q₈	C₂³×C₁₁	semidirect
845. C₄×D₄	C₂³×C₁₁	semidirect
850. #117	C₂³×C₁₁	semidirect
851. #117	C₂³×C₁₁	semidirect
857. #107	C₂³×C₁₁	semidirect
858. #107	C₂³×C₁₁	semidirect
859. #106	C₂³×C₁₁	semidirect
860. #106	C₂³×C₁₁	semidirect
861. C₄⋊C₈	C₂³×C₁₁	semidirect
862. C₄⋊C₈	C₂³×C₁₁	semidirect
863. #103	C₂³×C₁₁	semidirect
864. #103	C₂³×C₁₁	semidirect
865. #103	C₂³×C₁₁	semidirect
866. #103	C₂³×C₁₁	semidirect
875. #102	C₂³×C₁₁	semidirect
876. #102	C₂³×C₁₁	semidirect
877. #102	C₂³×C₁₁	semidirect
878. #102	C₂³×C₁₁	semidirect
883. C₂²⋊C₈	C₂³×C₁₁	semidirect
884. C₂²⋊C₈	C₂³×C₁₁	semidirect
885. #97	C₂³×C₁₁	semidirect
886. C₄×C₈	C₂³×C₁₁	semidirect
1059. C₁₁	#61644	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×#3540	2
C₁₁×#3484	2
C₁₁×#3325	2
C₁₁×#3324	2
C₁₁×#3319	2
C₁₁×#3311	2
C₁₁×#3275	2
C₁₁×#3273	2
C₁₁×#3265	2
C₁₁×#3264	2
C₁₁×#3224	2
C₁₁×#3200	2
C₁₁×#3199	2
C₁₁×#3197	2
C₁₁×#3118	2
C₁₁×#3009	2
C₁₁×#3008	2
C₁₁×#3003	2
C₁₁×#2978	2
#61644	11

Subgroups — C11×#61644 #14638837

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61644 #14638837