Subgroups — C₁₁×#61955 #14639148

Order 2816.

1952 conjugacy classes of subgroups.

The subgroup lattice has 1188 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3514	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3481	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3396	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#3394	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₁×#3361	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#3360	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#3301	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3299	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#3297	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3295	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3282	C₂	1	2	yes	maximal, complemented
12	D₄×C₁₁×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3280	C₂	1	2	yes	maximal, complemented
14	D₄×C₁₁×D₈	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3250	C₂	1	2	yes	maximal, complemented
16	C₁₁×#3247	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#3211	C₂	1	2	yes	maximal, complemented
18	C₁₁×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₁×#3105	C₂	1	2	yes	maximal, complemented
20	C₁₁×#3102	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₁×#3035	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₁×#463	C₂	1	2	yes	maximal, complemented
23	C₁₁×#2988	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×#135	C₂²	1	2	yes	complemented
25	C₂²×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
26	C₂²×C₁₁×D₈	C₂²	1	2	yes	—
27	C₁₁×#559	C₂²	1	1	yes	characteristic, complemented
28	C₁₁×#559	C₂²	1	1	yes	characteristic, complemented
29	C₁₁×#556	C₂²	1	1	yes	characteristic, complemented
30	C₁₁×#555	—	2	1	no	—
31	C₁₁×#554	C₂²	1	1	yes	characteristic
32	C₁₁×#554	C₂²	1	1	yes	characteristic, complemented
33	C₁₁×#553	—	2	1	no	—
34	C₁₁×#553	C₂²	1	2	yes	complemented
35	C₁₁×#551	—	2	2	no	—
36	C₁₁×#551	—	2	2	no	—
37	D₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
38	C₁₁×#548	C₂²	1	2	yes	complemented
39	C₁₁×#546	—	2	1	no	—
40	C₁₁×#546	—	2	1	no	—
41	C₁₁×#546	C₂²	1	2	yes	complemented
42	C₁₁×#546	C₂²	1	2	yes	complemented
43	D₄²×C₁₁	C₂²	1	1	yes	characteristic
44	D₄²×C₁₁	C₂²	1	1	yes	characteristic
45	C₁₁×#542	—	2	1	no	—
46	C₁₁×#538	—	2	2	no	—
47	C₁₁×#532	C₂²	1	1	yes	characteristic, complemented
48	C₁₁×#532	C₂²	1	1	yes	characteristic, complemented
49	C₁₁×#529	—	2	1	no	—
50	C₁₁×#529	C₂²	1	2	yes	complemented
51	C₁₁×#529	C₂²	1	1	yes	characteristic, complemented
52	C₁₁×#529	C₂²	1	2	yes	complemented
53	C₂×C₁₁×#124	C₂²	1	2	yes	complemented
54	C₁₁×#525	—	2	2	no	—
55	C₁₁×#518	—	2	1	no	—
56	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
57	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₄×D₄×C₁₁	—	2	1	no	—
59	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	complemented
60	C₁₁×#495	C₂²	1	2	yes	complemented
61	C₁₁×#495	C₂²	1	2	yes	complemented
62	C₁₁×#493	C₂²	1	1	yes	characteristic
63	C₁₁×#492	C₂²	1	1	yes	characteristic, complemented
64	C₁₁×#488	C₂²	1	2	yes	complemented
65	C₁₁×#488	C₂²	1	2	yes	complemented
66	C₁₁×#487	C₂²	1	1	yes	characteristic, complemented
67	C₁₁×#486	C₂²	1	1	yes	characteristic, complemented
68	C₁₁×#485	C₂²	1	1	yes	characteristic, complemented
69	C₁₁×#484	C₂²	1	2	yes	complemented
70	C₁₁×#482	C₂²	1	1	yes	characteristic, complemented
71	C₁₁×#481	C₂²	1	2	yes	complemented
72	C₁₁×#479	C₂²	1	1	yes	characteristic, complemented
73	C₁₁×#479	C₂²	1	2	yes	complemented
74	C₁₁×#478	C₂²	1	2	yes	complemented
75	C₁₁×#478	C₂²	1	2	yes	complemented
76	C₁₁×#478	C₂²	1	1	yes	characteristic, complemented
77	C₁₁×#477	C₂²	1	1	yes	characteristic, complemented
78	C₁₁×#476	C₂²	1	1	yes	characteristic, complemented
79	C₁₁×#467	C₂²	1	2	yes	complemented
80	C₁₁×#466	C₂²	1	2	yes	—
81	C₁₁×#466	C₂²	1	2	yes	complemented
82	C₁₁×#465	C₂²	1	2	yes	complemented
83	C₁₁×#465	C₂²	1	2	yes	complemented
84	C₁₁×#465	C₂²	1	2	yes	complemented
85	C₁₁×#464	C₂²	1	1	yes	characteristic, complemented
86	C₁₁×#464	C₂²	1	2	yes	complemented
87	C₁₁×#464	C₂²	1	2	yes	complemented
88	C₁₁×#463	C₂²	1	2	yes	—
89	C₁₁×#463	C₂²	1	1	yes	characteristic
90	C₁₁×#463	C₂²	1	2	yes	complemented
91	C₁₁×#463	C₂²	1	2	yes	complemented
92	C₁₁×#463	C₂²	1	2	yes	complemented
93	C₁₁×#463	C₂²	1	2	yes	complemented
94	C₁₁×#463	C₂²	1	2	yes	complemented
95	C₁₁×#463	C₂²	1	2	yes	complemented
96	C₁₁×#463	C₂²	1	2	yes	complemented
97	C₁₁×#463	C₂²	1	2	yes	complemented
98	C₁₁×#462	C₂²	1	1	yes	characteristic, complemented
99	C₁₁×#461	C₂²	1	1	yes	characteristic, complemented
100	C₁₁×#460	C₂²	1	1	yes	characteristic, complemented
101	C₁₁×#460	C₂²	1	1	yes	characteristic, complemented
102	C₁₁×#459	C₂²	1	1	yes	characteristic
103	C₁₁×#459	C₂²	1	1	yes	characteristic
104	C₁₁×#452	C₂²	1	1	yes	characteristic, complemented
105	C₁₁×#451	C₂²	1	2	yes	complemented
106	C₁₁×#450	C₂²	1	2	yes	complemented
107	C₁₁×#450	C₂²	1	2	yes	complemented
108	C₁₁×#449	C₂²	1	1	yes	characteristic
109	C₁₁×#449	C₂²	1	2	yes	complemented
110	C₁₁×#449	C₂²	1	2	yes	complemented
111	C₁₁×#448	C₂²	1	2	yes	complemented
112	C₁₁×#447	C₂²	1	2	yes	—
113	C₁₁×#447	C₂²	1	2	yes	—
114	C₈×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
115	C₈×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
116	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic, complemented
117	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
119	C₄×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
121	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
122	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
123	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
124	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic
125	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic
126	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
127	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
128	C₁₁×#431	C₂²	1	1	yes	characteristic, complemented
129	C₁₁×#431	C₂²	1	2	yes	complemented
130	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
131	C₂×C₁₁×C₄⋊C₈	C₂²	1	2	yes	complemented
132	C₁₁×#416	C₂²	1	2	yes	complemented
133	C₂×C₁₁×#103	C₂²	1	2	yes	complemented
134	C₂×C₁₁×#102	C₂²	1	2	yes	complemented
135	C₂×C₁₁×#41	—	2	1	no	—
136	C₂×C₁₁×#41	D₄	1	1	yes	characteristic
137	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
138	C₂×C₁₁×#41	C₂³	1	2	yes	—
139	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
140	C₂²×D₄×C₁₁	—	2	1	no	—
141	C₂²×D₄×C₁₁	—	2	1	no	—
142	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
143	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
144	C₂³×C₄×C₁₁	—	2	2	no	—
145	C₁₁×#135	—	4	4	no	—
146	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₁×SD₁₆	—	4	4	no	—
149	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₁×D₈	—	4	4	no	—
157	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
158	C₂×C₁₁×D₈	C₂³	1	2	yes	—
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	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
163	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
164	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
165	C₁₁×C₄⋊Q₈	—	2	1	no	—
166	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₁×#127	C₂³	1	1	yes	characteristic
169	C₁₁×#127	C₂³	1	1	yes	characteristic
170	C₁₁×#126	—	2	2	no	—
171	C₁₁×#126	—	2	2	no	—
172	C₁₁×#126	—	2	2	no	—
173	C₁₁×#126	—	2	1	no	—
174	C₁₁×#126	—	2	2	no	—
175	C₁₁×#125	—	2	1	no	—
176	C₁₁×#125	C₂³	1	1	yes	characteristic
177	C₁₁×#125	C₂³	1	2	yes	—
178	C₁₁×#124	—	2	1	no	—
179	C₁₁×#124	—	2	1	no	—
180	C₁₁×#124	—	2	2	no	—
181	C₁₁×#124	—	2	2	no	—
182	C₁₁×#124	—	2	2	no	—
183	C₁₁×#124	—	2	1	no	—
184	C₁₁×#124	C₂³	1	2	yes	—
185	C₁₁×#124	C₂³	1	2	yes	—
186	C₁₁×#124	C₂³	1	2	yes	—
187	C₁₁×#124	C₂³	1	1	yes	characteristic
188	C₁₁×#124	C₂³	1	2	yes	—
189	C₁₁×#123	—	2	1	no	—
190	C₁₁×#123	—	2	2	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	—	2	2	no	—
197	C₁₁×C₂²⋊Q₈	—	2	1	no	—
198	C₁₁×C₂²⋊Q₈	—	2	1	no	—
199	C₁₁×C₂²⋊Q₈	—	2	2	no	—
200	C₁₁×C₂²⋊Q₈	—	2	2	no	—
201	C₁₁×C₂²⋊Q₈	—	2	2	no	—
202	C₁₁×C₂²⋊Q₈	—	2	2	no	—
203	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
204	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
205	C₁₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
206	C₁₁×#121	—	2	2	no	—
207	C₁₁×#121	—	2	2	no	—
208	C₁₁×#121	—	2	1	no	—
209	C₁₁×#121	—	2	1	no	—
210	C₁₁×#121	—	2	1	no	—
211	C₁₁×#121	—	2	1	no	—
212	C₁₁×#121	—	2	1	no	—
213	C₁₁×#121	—	2	2	no	—
214	C₁₁×#121	—	2	2	no	—
215	C₁₁×#121	C₂³	1	2	yes	—
216	C₁₁×#121	C₂³	1	2	yes	—
217	C₁₁×#121	C₂³	1	1	yes	characteristic
218	C₁₁×#121	C₂³	1	2	yes	—
219	C₁₁×#120	—	2	2	no	—
220	C₁₁×#120	—	2	2	no	—
221	C₁₁×#120	—	2	2	no	—
222	C₁₁×#120	—	2	2	no	—
223	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
224	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
227	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
229	C₄×D₄×C₁₁	—	2	1	no	—
230	C₄×D₄×C₁₁	—	2	1	no	—
231	C₄×D₄×C₁₁	—	2	2	no	—
232	C₄×D₄×C₁₁	—	2	1	no	—
233	C₄×D₄×C₁₁	—	2	1	no	—
234	C₄×D₄×C₁₁	—	2	2	no	—
235	C₄×D₄×C₁₁	—	2	1	no	—
236	C₄×D₄×C₁₁	—	2	1	no	—
237	C₄×D₄×C₁₁	—	2	1	no	—
238	C₄×D₄×C₁₁	—	2	2	no	—
239	C₄×D₄×C₁₁	—	2	2	no	—
240	C₄×D₄×C₁₁	—	2	1	no	—
241	C₄×D₄×C₁₁	—	2	2	no	—
242	C₄×D₄×C₁₁	—	2	2	no	—
243	C₄×D₄×C₁₁	—	2	1	no	—
244	C₄×D₄×C₁₁	—	2	1	no	—
245	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
246	C₄×D₄×C₁₁	D₄	1	2	yes	—
247	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₁	C₂³	1	2	yes	—
249	C₄×D₄×C₁₁	C₂³	1	2	yes	—
250	C₄×D₄×C₁₁	C₂³	1	2	yes	—
251	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₁	C₂³	1	2	yes	—
254	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₁	C₂³	1	2	yes	—
256	C₁₁×#117	—	2	1	no	—
257	C₁₁×#117	—	2	1	no	—
258	C₁₁×#117	—	2	1	no	—
259	C₁₁×#117	—	2	2	no	—
260	C₁₁×#117	—	2	2	no	—
261	C₁₁×#117	D₄	1	2	yes	—
262	C₁₁×#117	D₄	1	1	yes	characteristic
263	C₁₁×#117	C₂³	1	1	yes	characteristic
264	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
265	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
266	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
267	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
268	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
269	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
270	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
271	C₂×C₄²×C₁₁	—	2	1	no	—
272	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
273	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
274	C₁₁×#107	C₂³	1	1	yes	characteristic
275	C₁₁×#107	C₂³	1	1	yes	characteristic
276	C₁₁×#107	C₂³	1	2	yes	—
277	C₁₁×#106	C₂³	1	1	yes	characteristic
278	C₁₁×#106	C₂³	1	2	yes	—
279	C₁₁×#106	C₂³	1	1	yes	characteristic
280	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₁×#103	C₂³	1	1	yes	characteristic
288	C₁₁×#103	C₂³	1	2	yes	—
289	C₁₁×#103	C₂³	1	2	yes	—
290	C₁₁×#103	C₂³	1	2	yes	—
291	C₁₁×#103	C₂³	1	2	yes	—
292	C₁₁×#103	C₂³	1	1	yes	characteristic
293	C₁₁×#103	C₂³	1	2	yes	—
294	C₁₁×#103	C₂³	1	1	yes	characteristic
295	C₁₁×#103	C₂³	1	1	yes	characteristic
296	C₁₁×#102	C₂³	1	1	yes	characteristic
297	C₁₁×#102	C₂³	1	2	yes	—
298	C₁₁×#102	C₂³	1	2	yes	—
299	C₁₁×#102	C₂³	1	2	yes	—
300	C₁₁×#102	C₂³	1	2	yes	—
301	C₁₁×#102	C₂³	1	1	yes	characteristic
302	C₁₁×#102	C₂³	1	1	yes	characteristic
303	C₁₁×#102	C₂³	1	1	yes	characteristic
304	C₁₁×#102	C₂³	1	2	yes	—
305	C₁₁×#102	C₂³	1	2	yes	—
306	C₁₁×#102	C₂³	1	2	yes	—
307	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
309	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₁	C₂³	1	2	yes	—
314	C₄×C₈×C₁₁	C₂³	1	2	yes	—
315	#61955	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₁	—	2	2	no	—
317	C₂⁴×C₁₁	—	2	2	no	—
318	C₁₁×#41	—	2	4	no	—
319	C₁₁×#41	—	2	2	no	—
320	C₁₁×#41	—	4	1	no	—
321	C₁₁×#41	—	4	2	no	—
322	C₁₁×#41	—	4	2	no	—
323	C₁₁×#41	—	8	2	no	—
324	C₂×Q₈×C₁₁	—	2	1	no	—
325	C₂×Q₈×C₁₁	—	2	2	no	—
326	C₂×Q₈×C₁₁	—	4	2	no	—
327	C₂×Q₈×C₁₁	—	4	2	no	—
328	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
329	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
330	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
331	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₁₁	—	2	4	no	—
333	C₂×D₄×C₁₁	—	2	1	no	—
334	C₂×D₄×C₁₁	—	2	2	no	—
335	C₂×D₄×C₁₁	—	2	2	no	—
336	C₂×D₄×C₁₁	—	2	1	no	—
337	C₂×D₄×C₁₁	—	2	2	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	1	no	—
342	C₂×D₄×C₁₁	—	2	1	no	—
343	C₂×D₄×C₁₁	—	2	1	no	—
344	C₂×D₄×C₁₁	—	2	2	no	—
345	C₂×D₄×C₁₁	—	4	2	no	—
346	C₂×D₄×C₁₁	—	4	2	no	—
347	C₂×D₄×C₁₁	—	4	2	no	—
348	C₂×D₄×C₁₁	—	4	4	no	—
349	C₂×D₄×C₁₁	—	4	4	no	—
350	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
351	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
352	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
353	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
354	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
355	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₁₁	—	2	2	no	—
357	C₂²×C₄×C₁₁	—	2	2	no	—
358	C₂²×C₄×C₁₁	—	2	1	no	—
359	C₂²×C₄×C₁₁	—	2	1	no	—
360	C₂²×C₄×C₁₁	—	2	1	no	—
361	C₂²×C₄×C₁₁	—	2	1	no	—
362	C₂²×C₄×C₁₁	—	2	2	no	—
363	C₂²×C₄×C₁₁	—	2	2	no	—
364	C₂²×C₄×C₁₁	—	2	2	no	—
365	C₂²×C₄×C₁₁	—	2	2	no	—
366	C₂²×C₄×C₁₁	—	2	2	no	—
367	C₂²×C₄×C₁₁	—	8	4	no	—
368	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
369	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
370	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
371	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
372	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
373	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
374	C₁₁×Q₁₆	—	4	1	no	—
375	C₁₁×Q₁₆	—	4	2	no	—
376	C₁₁×SD₁₆	—	2	2	no	—
377	C₁₁×SD₁₆	—	2	4	no	—
378	C₁₁×SD₁₆	—	4	2	no	—
379	C₁₁×SD₁₆	—	4	2	no	—
380	C₁₁×SD₁₆	—	4	2	no	—
381	C₁₁×SD₁₆	—	4	1	no	—
382	C₁₁×SD₁₆	—	4	2	no	—
383	C₁₁×D₈	—	2	2	no	—
384	C₁₁×D₈	—	2	4	no	—
385	C₁₁×D₈	—	4	2	no	—
386	C₁₁×D₈	—	4	2	no	—
387	C₁₁×D₈	—	4	2	no	—
388	C₂×C₈×C₁₁	—	4	2	no	—
389	C₂×C₈×C₁₁	—	4	2	no	—
390	C₂×C₈×C₁₁	—	4	2	no	—
391	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
392	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
393	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
394	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
395	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
396	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
397	C₁₁×C₄⋊C₄	—	2	1	no	—
398	C₁₁×C₄⋊C₄	—	2	2	no	—
399	C₁₁×C₄⋊C₄	—	2	2	no	—
400	C₁₁×C₄⋊C₄	—	2	1	no	—
401	C₁₁×C₄⋊C₄	—	2	1	no	—
402	C₁₁×C₄⋊C₄	—	2	1	no	—
403	C₁₁×C₄⋊C₄	—	2	1	no	—
404	C₁₁×C₄⋊C₄	—	2	1	no	—
405	C₁₁×C₄⋊C₄	—	2	1	no	—
406	C₁₁×C₄⋊C₄	—	2	2	no	—
407	C₁₁×C₄⋊C₄	—	2	2	no	—
408	C₁₁×C₄⋊C₄	—	2	2	no	—
409	C₁₁×C₄⋊C₄	—	2	1	no	—
410	C₁₁×C₄⋊C₄	—	2	2	no	—
411	C₁₁×C₄⋊C₄	—	2	1	no	—
412	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
413	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
414	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
415	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
416	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
417	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
418	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
419	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
420	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	1	no	—
426	C₁₁×C₂²⋊C₄	—	2	2	no	—
427	C₁₁×C₂²⋊C₄	—	2	1	no	—
428	C₁₁×C₂²⋊C₄	—	2	1	no	—
429	C₁₁×C₂²⋊C₄	—	2	1	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	—	2	1	no	—
441	C₁₁×C₂²⋊C₄	—	2	2	no	—
442	C₁₁×C₂²⋊C₄	—	2	2	no	—
443	C₁₁×C₂²⋊C₄	—	2	2	no	—
444	C₁₁×C₂²⋊C₄	—	2	1	no	—
445	C₁₁×C₂²⋊C₄	—	2	2	no	—
446	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
447	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
448	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
449	C₄²×C₁₁	—	2	1	no	—
450	C₄²×C₁₁	—	2	1	no	—
451	C₄²×C₁₁	—	2	1	no	—
452	C₄²×C₁₁	—	2	2	no	—
453	C₄²×C₁₁	—	2	1	no	—
454	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
455	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
456	C₄²×C₁₁	C₂×D₄	1	2	yes	—
457	C₄²×C₁₁	C₂×D₄	1	2	yes	—
458	C₄²×C₁₁	C₂⁴	1	2	yes	—
459	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
460	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
461	#3514	C₂×C₁₁	1	1	yes	characteristic, complemented
462	#3481	C₂×C₁₁	1	1	yes	characteristic, complemented
463	#3396	C₂×C₁₁	1	1	yes	characteristic, complemented
464	#3394	C₂×C₁₁	1	1	yes	characteristic, complemented
465	#3361	C₂×C₁₁	1	1	yes	characteristic, complemented
466	#3360	C₂×C₁₁	1	1	yes	characteristic, complemented
467	#3301	C₂×C₁₁	1	2	yes	complemented
468	#3299	C₂×C₁₁	1	1	yes	characteristic, complemented
469	#3297	C₂×C₁₁	1	2	yes	complemented
470	#3295	C₂×C₁₁	1	1	yes	characteristic, complemented
471	#3282	C₂×C₁₁	1	2	yes	complemented
472	D₄×SD₁₆	C₂×C₁₁	1	1	yes	characteristic, complemented
473	#3280	C₂×C₁₁	1	2	yes	complemented
474	D₄×D₈	C₂×C₁₁	1	1	yes	characteristic, complemented
475	#3250	C₂×C₁₁	1	2	yes	complemented
476	#3247	C₂×C₁₁	1	1	yes	characteristic, complemented
477	#3211	C₂×C₁₁	1	2	yes	complemented
478	#3207	C₂×C₁₁	1	1	yes	characteristic, complemented
479	#3105	C₂×C₁₁	1	2	yes	complemented
480	#3102	C₂×C₁₁	1	1	yes	characteristic, complemented
481	#3035	C₂×C₁₁	1	1	yes	characteristic, complemented
482	C₂×#463	C₂×C₁₁	1	2	yes	complemented
483	#2988	C₂×C₁₁	1	1	yes	characteristic, complemented
484	C₂³×C₁₁	—	2	1	no	—
485	C₂³×C₁₁	—	2	1	no	—
486	C₂³×C₁₁	—	2	2	no	—
487	C₂³×C₁₁	—	2	2	no	—
488	C₂³×C₁₁	—	4	4	no	—
489	C₂³×C₁₁	—	4	4	no	—
490	C₂³×C₁₁	—	4	4	no	—
491	C₂³×C₁₁	—	8	2	no	—
492	C₂³×C₁₁	—	8	2	no	—
493	C₂³×C₁₁	—	8	2	no	—
494	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
495	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
496	Q₈×C₁₁	—	2	2	no	—
497	Q₈×C₁₁	—	2	1	no	—
498	Q₈×C₁₁	—	2	2	no	—
499	Q₈×C₁₁	—	2	1	no	—
500	Q₈×C₁₁	—	2	1	no	—
501	Q₈×C₁₁	—	2	2	no	—
502	Q₈×C₁₁	—	2	1	no	—
503	Q₈×C₁₁	—	8	2	no	—
504	Q₈×C₁₁	—	8	1	no	—
505	D₄×C₁₁	—	2	4	no	—
506	D₄×C₁₁	—	2	1	no	—
507	D₄×C₁₁	—	2	2	no	—
508	D₄×C₁₁	—	2	2	no	—
509	D₄×C₁₁	—	2	1	no	—
510	D₄×C₁₁	—	2	2	no	—
511	D₄×C₁₁	—	2	2	no	—
512	D₄×C₁₁	—	2	1	no	—
513	D₄×C₁₁	—	4	4	no	—
514	D₄×C₁₁	—	4	2	no	—
515	D₄×C₁₁	—	4	4	no	—
516	D₄×C₁₁	—	4	4	no	—
517	D₄×C₁₁	—	4	2	no	—
518	D₄×C₁₁	—	4	2	no	—
519	D₄×C₁₁	—	8	1	no	—
520	D₄×C₁₁	—	8	2	no	—
521	D₄×C₁₁	—	8	1	no	—
522	D₄×C₁₁	—	8	1	no	—
523	D₄×C₁₁	—	8	2	no	—
524	D₄×C₁₁	—	8	2	no	—
525	D₄×C₁₁	#135	1	4	yes	complemented
526	D₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
527	C₂×C₄×C₁₁	—	2	4	no	—
528	C₂×C₄×C₁₁	—	2	2	no	—
529	C₂×C₄×C₁₁	—	2	2	no	—
530	C₂×C₄×C₁₁	—	2	1	no	—
531	C₂×C₄×C₁₁	—	2	2	no	—
532	C₂×C₄×C₁₁	—	2	1	no	—
533	C₂×C₄×C₁₁	—	2	1	no	—
534	C₂×C₄×C₁₁	—	2	1	no	—
535	C₂×C₄×C₁₁	—	2	1	no	—
536	C₂×C₄×C₁₁	—	2	1	no	—
537	C₂×C₄×C₁₁	—	2	1	no	—
538	C₂×C₄×C₁₁	—	2	1	no	—
539	C₂×C₄×C₁₁	—	2	2	no	—
540	C₂×C₄×C₁₁	—	2	2	no	—
541	C₂×C₄×C₁₁	—	4	2	no	—
542	C₂×C₄×C₁₁	—	4	1	no	—
543	C₂×C₄×C₁₁	—	4	2	no	—
544	C₂×C₄×C₁₁	—	4	2	no	—
545	C₂×C₄×C₁₁	—	4	4	no	—
546	C₂×C₄×C₁₁	—	4	2	no	—
547	C₂×C₄×C₁₁	—	4	2	no	—
548	C₂×C₄×C₁₁	—	8	2	no	—
549	C₂×C₄×C₁₁	—	8	2	no	—
550	C₂×C₄×C₁₁	—	8	2	no	—
551	C₂×C₄×C₁₁	—	8	2	no	—
552	C₂×C₄×C₁₁	—	8	2	no	—
553	C₂×C₄×C₁₁	—	8	2	no	—
554	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
555	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
556	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
557	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
558	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
559	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
560	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
561	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
562	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
563	C₈×C₁₁	—	2	1	no	—
564	C₈×C₁₁	—	2	2	no	—
565	C₈×C₁₁	—	2	1	no	—
566	C₈×C₁₁	—	2	2	no	—
567	C₈×C₁₁	—	2	1	no	—
568	C₈×C₁₁	—	2	1	no	—
569	C₂×#135	C₂²×C₁₁	1	2	yes	complemented
570	C₂²×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
571	C₂²×D₈	C₂²×C₁₁	1	2	yes	—
572	#559	C₂²×C₁₁	1	1	yes	characteristic, complemented
573	#559	C₂²×C₁₁	1	1	yes	characteristic, complemented
574	#556	C₂²×C₁₁	1	1	yes	characteristic, complemented
575	#555	—	2	1	no	—
576	#554	C₂²×C₁₁	1	1	yes	characteristic
577	#554	C₂²×C₁₁	1	1	yes	characteristic, complemented
578	#553	—	2	1	no	—
579	#553	C₂²×C₁₁	1	2	yes	complemented
580	#551	—	2	2	no	—
581	#551	—	2	2	no	—
582	D₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
583	#548	C₂²×C₁₁	1	2	yes	complemented
584	#546	—	2	1	no	—
585	#546	—	2	1	no	—
586	#546	C₂²×C₁₁	1	2	yes	complemented
587	#546	C₂²×C₁₁	1	2	yes	complemented
588	D₄²	C₂²×C₁₁	1	1	yes	characteristic
589	D₄²	C₂²×C₁₁	1	1	yes	characteristic
590	#542	—	2	1	no	—
591	#538	—	2	2	no	—
592	#532	C₂²×C₁₁	1	1	yes	characteristic, complemented
593	#532	C₂²×C₁₁	1	1	yes	characteristic, complemented
594	#529	—	2	1	no	—
595	#529	C₂²×C₁₁	1	1	yes	characteristic, complemented
596	#529	C₂²×C₁₁	1	2	yes	complemented
597	#529	C₂²×C₁₁	1	2	yes	complemented
598	C₂×#124	C₂²×C₁₁	1	2	yes	complemented
599	#525	—	2	2	no	—
600	#518	—	2	1	no	—
601	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
602	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic, complemented
603	C₂×C₄×D₄	—	2	1	no	—
604	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	complemented
605	#495	C₂²×C₁₁	1	2	yes	complemented
606	#495	C₂²×C₁₁	1	2	yes	complemented
607	#493	C₂²×C₁₁	1	1	yes	characteristic
608	#492	C₂²×C₁₁	1	1	yes	characteristic, complemented
609	#488	C₂²×C₁₁	1	2	yes	complemented
610	#488	C₂²×C₁₁	1	2	yes	complemented
611	#487	C₂²×C₁₁	1	1	yes	characteristic, complemented
612	#486	C₂²×C₁₁	1	1	yes	characteristic, complemented
613	#485	C₂²×C₁₁	1	1	yes	characteristic, complemented
614	#484	C₂²×C₁₁	1	2	yes	complemented
615	#482	C₂²×C₁₁	1	1	yes	characteristic, complemented
616	#481	C₂²×C₁₁	1	2	yes	complemented
617	#479	C₂²×C₁₁	1	1	yes	characteristic, complemented
618	#479	C₂²×C₁₁	1	2	yes	complemented
619	#478	C₂²×C₁₁	1	1	yes	characteristic, complemented
620	#478	C₂²×C₁₁	1	2	yes	complemented
621	#478	C₂²×C₁₁	1	2	yes	complemented
622	#477	C₂²×C₁₁	1	1	yes	characteristic, complemented
623	#476	C₂²×C₁₁	1	1	yes	characteristic, complemented
624	#467	C₂²×C₁₁	1	2	yes	complemented
625	#466	C₂²×C₁₁	1	2	yes	—
626	#466	C₂²×C₁₁	1	2	yes	complemented
627	#465	C₂²×C₁₁	1	2	yes	complemented
628	#465	C₂²×C₁₁	1	2	yes	complemented
629	#465	C₂²×C₁₁	1	2	yes	complemented
630	#464	C₂²×C₁₁	1	1	yes	characteristic, complemented
631	#464	C₂²×C₁₁	1	2	yes	complemented
632	#464	C₂²×C₁₁	1	2	yes	complemented
633	#463	C₂²×C₁₁	1	1	yes	characteristic
634	#463	C₂²×C₁₁	1	2	yes	—
635	#463	C₂²×C₁₁	1	2	yes	complemented
636	#463	C₂²×C₁₁	1	2	yes	complemented
637	#463	C₂²×C₁₁	1	2	yes	complemented
638	#463	C₂²×C₁₁	1	2	yes	complemented
639	#463	C₂²×C₁₁	1	2	yes	complemented
640	#463	C₂²×C₁₁	1	2	yes	complemented
641	#463	C₂²×C₁₁	1	2	yes	complemented
642	#463	C₂²×C₁₁	1	2	yes	complemented
643	#462	C₂²×C₁₁	1	1	yes	characteristic, complemented
644	#461	C₂²×C₁₁	1	1	yes	characteristic, complemented
645	#460	C₂²×C₁₁	1	1	yes	characteristic, complemented
646	#460	C₂²×C₁₁	1	1	yes	characteristic, complemented
647	#459	C₂²×C₁₁	1	1	yes	characteristic
648	#459	C₂²×C₁₁	1	1	yes	characteristic
649	#452	C₂²×C₁₁	1	1	yes	characteristic, complemented
650	#451	C₂²×C₁₁	1	2	yes	complemented
651	#450	C₂²×C₁₁	1	2	yes	complemented
652	#450	C₂²×C₁₁	1	2	yes	complemented
653	#449	C₂²×C₁₁	1	1	yes	characteristic
654	#449	C₂²×C₁₁	1	2	yes	complemented
655	#449	C₂²×C₁₁	1	2	yes	complemented
656	#448	C₂²×C₁₁	1	2	yes	complemented
657	#447	C₂²×C₁₁	1	2	yes	—
658	#447	C₂²×C₁₁	1	2	yes	—
659	C₈×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
660	C₈×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
661	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
662	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
663	C₄×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
664	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
665	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
666	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
667	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
668	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
669	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic
670	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic
671	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
672	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
673	#431	C₂²×C₁₁	1	1	yes	characteristic, complemented
674	#431	C₂²×C₁₁	1	2	yes	complemented
675	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
676	C₂×C₄⋊C₈	C₂²×C₁₁	1	2	yes	complemented
677	#416	C₂²×C₁₁	1	2	yes	complemented
678	C₂×#103	C₂²×C₁₁	1	2	yes	complemented
679	C₂×#102	C₂²×C₁₁	1	2	yes	complemented
680	C₂²×C₁₁	—	2	2	no	—
681	C₂²×C₁₁	—	2	2	no	—
682	C₂²×C₁₁	—	2	1	no	—
683	C₂²×C₁₁	—	2	1	no	—
684	C₂²×C₁₁	—	2	2	no	—
685	C₂²×C₁₁	—	2	1	no	—
686	C₂²×C₁₁	—	4	1	no	—
687	C₂²×C₁₁	—	4	1	no	—
688	C₂²×C₁₁	—	4	2	no	—
689	C₂²×C₁₁	—	4	2	no	—
690	C₂²×C₁₁	—	4	1	no	—
691	C₂²×C₁₁	—	4	2	no	—
692	C₂²×C₁₁	—	4	2	no	—
693	C₂²×C₁₁	—	4	1	no	—
694	C₂²×C₁₁	—	4	1	no	—
695	C₂²×C₁₁	—	4	2	no	—
696	C₂²×C₁₁	—	4	2	no	—
697	C₂²×C₁₁	—	8	8	no	—
698	C₂²×C₁₁	—	16	4	no	—
699	C₂²×C₁₁	C₂×#135	1	4	yes	—
700	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
701	C₄×C₁₁	—	2	1	no	—
702	C₄×C₁₁	—	2	2	no	—
703	C₄×C₁₁	—	2	1	no	—
704	C₄×C₁₁	—	2	1	no	—
705	C₄×C₁₁	—	2	2	no	—
706	C₄×C₁₁	—	2	1	no	—
707	C₄×C₁₁	—	2	2	no	—
708	C₄×C₁₁	—	4	1	no	—
709	C₄×C₁₁	—	4	2	no	—
710	C₄×C₁₁	—	4	1	no	—
711	C₄×C₁₁	—	4	1	no	—
712	C₄×C₁₁	—	4	2	no	—
713	C₄×C₁₁	—	4	1	no	—
714	C₄×C₁₁	—	4	1	no	—
715	C₄×C₁₁	—	4	1	no	—
716	C₄×C₁₁	C₂×#135	1	2	yes	—
717	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
718	C₄×C₁₁	#585	1	1	yes	characteristic
719	C₂×#41	—	2	1	no	—
720	C₂×#41	D₄×C₁₁	1	1	yes	characteristic
721	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
722	C₂×#41	C₂³×C₁₁	1	2	yes	—
723	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
724	C₂²×D₄	—	2	1	no	—
725	C₂²×D₄	—	2	1	no	—
726	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
727	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
728	C₂³×C₄	—	2	2	no	—
729	#135	—	4	4	no	—
730	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
731	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
732	C₂×SD₁₆	—	4	4	no	—
733	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
734	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
735	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
736	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
737	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
738	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
739	C₂×SD₁₆	C₂³×C₁₁	1	1	yes	characteristic
740	C₂×D₈	—	4	4	no	—
741	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
742	C₂×D₈	C₂³×C₁₁	1	2	yes	—
743	C₂×D₈	C₂³×C₁₁	1	2	yes	—
744	C₂×D₈	C₂³×C₁₁	1	2	yes	—
745	C₂×D₈	C₂³×C₁₁	1	2	yes	—
746	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
747	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
748	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
749	C₄⋊Q₈	—	2	1	no	—
750	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
751	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
752	#127	C₂³×C₁₁	1	1	yes	characteristic
753	#127	C₂³×C₁₁	1	1	yes	characteristic
754	#126	—	2	2	no	—
755	#126	—	2	2	no	—
756	#126	—	2	2	no	—
757	#126	—	2	1	no	—
758	#126	—	2	2	no	—
759	#125	—	2	1	no	—
760	#125	C₂³×C₁₁	1	1	yes	characteristic
761	#125	C₂³×C₁₁	1	2	yes	—
762	#124	—	2	1	no	—
763	#124	—	2	1	no	—
764	#124	—	2	2	no	—
765	#124	—	2	2	no	—
766	#124	—	2	2	no	—
767	#124	—	2	1	no	—
768	#124	C₂³×C₁₁	1	1	yes	characteristic
769	#124	C₂³×C₁₁	1	2	yes	—
770	#124	C₂³×C₁₁	1	2	yes	—
771	#124	C₂³×C₁₁	1	2	yes	—
772	#124	C₂³×C₁₁	1	2	yes	—
773	#123	—	2	1	no	—
774	#123	—	2	2	no	—
775	#123	—	2	2	no	—
776	#123	—	2	2	no	—
777	#123	—	2	2	no	—
778	#123	—	2	2	no	—
779	#123	—	2	2	no	—
780	#123	—	2	2	no	—
781	C₂²⋊Q₈	—	2	1	no	—
782	C₂²⋊Q₈	—	2	1	no	—
783	C₂²⋊Q₈	—	2	2	no	—
784	C₂²⋊Q₈	—	2	2	no	—
785	C₂²⋊Q₈	—	2	2	no	—
786	C₂²⋊Q₈	—	2	2	no	—
787	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
788	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
789	C₂²⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
790	#121	—	2	2	no	—
791	#121	—	2	2	no	—
792	#121	—	2	1	no	—
793	#121	—	2	1	no	—
794	#121	—	2	1	no	—
795	#121	—	2	1	no	—
796	#121	—	2	1	no	—
797	#121	—	2	2	no	—
798	#121	—	2	2	no	—
799	#121	C₂³×C₁₁	1	2	yes	—
800	#121	C₂³×C₁₁	1	2	yes	—
801	#121	C₂³×C₁₁	1	1	yes	characteristic
802	#121	C₂³×C₁₁	1	2	yes	—
803	#120	—	2	2	no	—
804	#120	—	2	2	no	—
805	#120	—	2	2	no	—
806	#120	—	2	2	no	—
807	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
808	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
809	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
810	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
811	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
812	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	2	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	2	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	—	2	1	no	—
822	C₄×D₄	—	2	2	no	—
823	C₄×D₄	—	2	2	no	—
824	C₄×D₄	—	2	1	no	—
825	C₄×D₄	—	2	2	no	—
826	C₄×D₄	—	2	2	no	—
827	C₄×D₄	—	2	1	no	—
828	C₄×D₄	—	2	1	no	—
829	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
830	C₄×D₄	D₄×C₁₁	1	2	yes	—
831	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
832	C₄×D₄	C₂³×C₁₁	1	2	yes	—
833	C₄×D₄	C₂³×C₁₁	1	2	yes	—
834	C₄×D₄	C₂³×C₁₁	1	2	yes	—
835	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
836	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
837	C₄×D₄	C₂³×C₁₁	1	2	yes	—
838	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
839	C₄×D₄	C₂³×C₁₁	1	2	yes	—
840	#117	—	2	1	no	—
841	#117	—	2	1	no	—
842	#117	—	2	1	no	—
843	#117	—	2	2	no	—
844	#117	—	2	2	no	—
845	#117	D₄×C₁₁	1	2	yes	—
846	#117	D₄×C₁₁	1	1	yes	characteristic
847	#117	C₂³×C₁₁	1	1	yes	characteristic
848	C₂×C₄⋊C₄	—	2	1	no	—
849	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
850	C₂×C₂²⋊C₄	—	2	2	no	—
851	C₂×C₂²⋊C₄	—	2	2	no	—
852	C₂×C₂²⋊C₄	—	2	2	no	—
853	C₂×C₂²⋊C₄	—	2	2	no	—
854	C₂×C₂²⋊C₄	—	2	2	no	—
855	C₂×C₄²	—	2	1	no	—
856	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
857	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
858	#107	C₂³×C₁₁	1	1	yes	characteristic
859	#107	C₂³×C₁₁	1	1	yes	characteristic
860	#107	C₂³×C₁₁	1	2	yes	—
861	#106	C₂³×C₁₁	1	1	yes	characteristic
862	#106	C₂³×C₁₁	1	2	yes	—
863	#106	C₂³×C₁₁	1	1	yes	characteristic
864	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
865	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
866	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
867	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
868	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
869	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
870	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
871	#103	C₂³×C₁₁	1	1	yes	characteristic
872	#103	C₂³×C₁₁	1	2	yes	—
873	#103	C₂³×C₁₁	1	2	yes	—
874	#103	C₂³×C₁₁	1	2	yes	—
875	#103	C₂³×C₁₁	1	2	yes	—
876	#103	C₂³×C₁₁	1	1	yes	characteristic
877	#103	C₂³×C₁₁	1	2	yes	—
878	#103	C₂³×C₁₁	1	1	yes	characteristic
879	#103	C₂³×C₁₁	1	1	yes	characteristic
880	#102	C₂³×C₁₁	1	1	yes	characteristic
881	#102	C₂³×C₁₁	1	2	yes	—
882	#102	C₂³×C₁₁	1	2	yes	—
883	#102	C₂³×C₁₁	1	2	yes	—
884	#102	C₂³×C₁₁	1	2	yes	—
885	#102	C₂³×C₁₁	1	1	yes	characteristic
886	#102	C₂³×C₁₁	1	1	yes	characteristic
887	#102	C₂³×C₁₁	1	1	yes	characteristic
888	#102	C₂³×C₁₁	1	2	yes	—
889	#102	C₂³×C₁₁	1	2	yes	—
890	#102	C₂³×C₁₁	1	2	yes	—
891	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
892	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
893	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
894	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
895	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
896	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
897	C₄×C₈	C₂³×C₁₁	1	2	yes	—
898	C₄×C₈	C₂³×C₁₁	1	2	yes	—
899	C₂×C₁₁	—	2	4	no	—
900	C₂×C₁₁	—	4	1	no	—
901	C₂×C₁₁	—	4	2	no	—
902	C₂×C₁₁	—	8	2	no	—
903	C₂×C₁₁	—	8	2	no	—
904	C₂×C₁₁	—	8	1	no	—
905	C₂×C₁₁	#3488	1	1	yes	characteristic
906	C₂×C₁₁	C₂²×#135	1	1	yes	characteristic
907	C₂×C₁₁	#3585	1	1	yes	characteristic
908	C₂⁴	—	2	2	no	—
909	C₂⁴	—	2	2	no	—
910	#41	—	2	4	no	—
911	#41	—	2	2	no	—
912	#41	—	4	1	no	—
913	#41	—	4	2	no	—
914	#41	—	4	2	no	—
915	#41	—	8	2	no	—
916	C₂×Q₈	—	2	1	no	—
917	C₂×Q₈	—	2	2	no	—
918	C₂×Q₈	—	4	2	no	—
919	C₂×Q₈	—	4	2	no	—
920	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
921	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
922	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
923	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
924	C₂×D₄	—	2	4	no	—
925	C₂×D₄	—	2	1	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	1	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	1	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	—	4	2	no	—
938	C₂×D₄	—	4	2	no	—
939	C₂×D₄	—	4	2	no	—
940	C₂×D₄	—	4	4	no	—
941	C₂×D₄	—	4	4	no	—
942	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
943	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
944	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
945	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
946	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
947	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	—	2	1	no	—
951	C₂²×C₄	—	2	1	no	—
952	C₂²×C₄	—	2	1	no	—
953	C₂²×C₄	—	2	1	no	—
954	C₂²×C₄	—	2	2	no	—
955	C₂²×C₄	—	2	2	no	—
956	C₂²×C₄	—	2	2	no	—
957	C₂²×C₄	—	2	2	no	—
958	C₂²×C₄	—	2	2	no	—
959	C₂²×C₄	—	8	4	no	—
960	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
961	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
962	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
963	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
964	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
965	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
966	Q₁₆	—	4	2	no	—
967	Q₁₆	—	4	1	no	—
968	SD₁₆	—	2	2	no	—
969	SD₁₆	—	2	4	no	—
970	SD₁₆	—	4	2	no	—
971	SD₁₆	—	4	2	no	—
972	SD₁₆	—	4	2	no	—
973	SD₁₆	—	4	2	no	—
974	SD₁₆	—	4	1	no	—
975	D₈	—	2	2	no	—
976	D₈	—	2	4	no	—
977	D₈	—	4	2	no	—
978	D₈	—	4	2	no	—
979	D₈	—	4	2	no	—
980	C₂×C₈	—	4	2	no	—
981	C₂×C₈	—	4	2	no	—
982	C₂×C₈	—	4	2	no	—
983	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
984	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
985	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
986	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
987	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
988	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
989	C₄⋊C₄	—	2	1	no	—
990	C₄⋊C₄	—	2	2	no	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	1	no	—
993	C₄⋊C₄	—	2	1	no	—
994	C₄⋊C₄	—	2	1	no	—
995	C₄⋊C₄	—	2	1	no	—
996	C₄⋊C₄	—	2	1	no	—
997	C₄⋊C₄	—	2	1	no	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	2	no	—
1000	C₄⋊C₄	—	2	2	no	—
1001	C₄⋊C₄	—	2	1	no	—
1002	C₄⋊C₄	—	2	2	no	—
1003	C₄⋊C₄	—	2	1	no	—
1004	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1005	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1006	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1007	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1008	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1009	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
1010	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1011	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1012	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	1	no	—
1016	C₂²⋊C₄	—	2	1	no	—
1017	C₂²⋊C₄	—	2	1	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	1	no	—
1020	C₂²⋊C₄	—	2	1	no	—
1021	C₂²⋊C₄	—	2	1	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	—	2	1	no	—
1033	C₂²⋊C₄	—	2	2	no	—
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	1	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1039	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1040	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
1041	C₄²	—	2	1	no	—
1042	C₄²	—	2	1	no	—
1043	C₄²	—	2	1	no	—
1044	C₄²	—	2	2	no	—
1045	C₄²	—	2	1	no	—
1046	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1047	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1048	C₄²	C₂×D₄×C₁₁	1	2	yes	—
1049	C₄²	C₂×D₄×C₁₁	1	2	yes	—
1050	C₄²	C₂⁴×C₁₁	1	2	yes	—
1051	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1052	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1053	C₁₁	#61955	1	1	yes	characteristic, direct product factor, Sylow
1054	C₂³	—	2	1	no	—
1055	C₂³	—	2	1	no	—
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	2	no	—
1058	C₂³	—	4	4	no	—
1059	C₂³	—	4	4	no	—
1060	C₂³	—	4	4	no	—
1061	C₂³	—	8	2	no	—
1062	C₂³	—	8	2	no	—
1063	C₂³	—	8	2	no	—
1064	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1065	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
1066	Q₈	—	2	2	no	—
1067	Q₈	—	2	1	no	—
1068	Q₈	—	2	2	no	—
1069	Q₈	—	2	1	no	—
1070	Q₈	—	2	1	no	—
1071	Q₈	—	2	2	no	—
1072	Q₈	—	2	1	no	—
1073	Q₈	—	8	2	no	—
1074	Q₈	—	8	1	no	—
1075	D₄	—	2	4	no	—
1076	D₄	—	2	1	no	—
1077	D₄	—	2	2	no	—
1078	D₄	—	2	2	no	—
1079	D₄	—	2	1	no	—
1080	D₄	—	2	2	no	—
1081	D₄	—	2	2	no	—
1082	D₄	—	2	1	no	—
1083	D₄	—	4	4	no	—
1084	D₄	—	4	2	no	—
1085	D₄	—	4	4	no	—
1086	D₄	—	4	4	no	—
1087	D₄	—	4	2	no	—
1088	D₄	—	4	2	no	—
1089	D₄	—	8	1	no	—
1090	D₄	—	8	2	no	—
1091	D₄	—	8	1	no	—
1092	D₄	—	8	1	no	—
1093	D₄	—	8	2	no	—
1094	D₄	—	8	2	no	—
1095	D₄	C₁₁×#135	1	4	yes	complemented
1096	D₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
1097	C₂×C₄	—	2	4	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	2	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	4	2	no	—
1112	C₂×C₄	—	4	1	no	—
1113	C₂×C₄	—	4	2	no	—
1114	C₂×C₄	—	4	2	no	—
1115	C₂×C₄	—	4	4	no	—
1116	C₂×C₄	—	4	2	no	—
1117	C₂×C₄	—	4	2	no	—
1118	C₂×C₄	—	8	2	no	—
1119	C₂×C₄	—	8	2	no	—
1120	C₂×C₄	—	8	2	no	—
1121	C₂×C₄	—	8	2	no	—
1122	C₂×C₄	—	8	2	no	—
1123	C₂×C₄	—	8	2	no	—
1124	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1125	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1126	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1127	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1128	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1129	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
1130	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1131	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1132	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
1133	C₈	—	2	1	no	—
1134	C₈	—	2	2	no	—
1135	C₈	—	2	1	no	—
1136	C₈	—	2	2	no	—
1137	C₈	—	2	1	no	—
1138	C₈	—	2	1	no	—
1139	C₂²	—	2	2	no	—
1140	C₂²	—	2	2	no	—
1141	C₂²	—	2	1	no	—
1142	C₂²	—	2	2	no	—
1143	C₂²	—	2	1	no	—
1144	C₂²	—	2	1	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	1	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	4	2	no	—
1149	C₂²	—	4	1	no	—
1150	C₂²	—	4	1	no	—
1151	C₂²	—	4	2	no	—
1152	C₂²	—	4	2	no	—
1153	C₂²	—	4	2	no	—
1154	C₂²	—	4	2	no	—
1155	C₂²	—	4	1	no	—
1156	C₂²	—	8	8	no	—
1157	C₂²	—	16	4	no	—
1158	C₂²	C₂×C₁₁×#135	1	4	yes	—
1159	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
1160	C₄	—	2	1	no	—
1161	C₄	—	2	2	no	—
1162	C₄	—	2	1	no	—
1163	C₄	—	2	2	no	—
1164	C₄	—	2	1	no	—
1165	C₄	—	2	2	no	—
1166	C₄	—	2	1	no	—
1167	C₄	—	4	1	no	—
1168	C₄	—	4	2	no	—
1169	C₄	—	4	1	no	—
1170	C₄	—	4	1	no	—
1171	C₄	—	4	1	no	—
1172	C₄	—	4	1	no	—
1173	C₄	—	4	2	no	—
1174	C₄	—	4	1	no	—
1175	C₄	C₂×C₁₁×#135	1	2	yes	—
1176	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1177	C₄	C₁₁×#585	1	1	yes	characteristic
1178	C₂	—	2	4	no	—
1179	C₂	—	4	1	no	—
1180	C₂	—	4	2	no	—
1181	C₂	—	8	2	no	—
1182	C₂	—	8	1	no	—
1183	C₂	—	8	2	no	—
1184	C₂	C₁₁×#3488	1	1	yes	characteristic
1185	C₂	C₂²×C₁₁×#135	1	1	yes	characteristic
1186	C₂	C₁₁×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₄×C₁₁×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3514	C₂	semidirect
2. C₁₁×#3481	C₂	semidirect
3. C₁₁×#3396	C₂	semidirect
4. C₁₁×#3394	C₂	semidirect
5. C₁₁×#3361	C₂	semidirect
6. C₁₁×#3360	C₂	semidirect
7. C₁₁×#3301	C₂	semidirect
8. C₁₁×#3299	C₂	semidirect
9. C₁₁×#3297	C₂	semidirect
10. C₁₁×#3295	C₂	semidirect
11. C₁₁×#3282	C₂	semidirect
12. D₄×C₁₁×SD₁₆	C₂	semidirect
13. C₁₁×#3280	C₂	semidirect
14. D₄×C₁₁×D₈	C₂	semidirect
15. C₁₁×#3250	C₂	semidirect
16. C₁₁×#3247	C₂	semidirect
17. C₁₁×#3211	C₂	semidirect
18. C₁₁×#3207	C₂	semidirect
19. C₁₁×#3105	C₂	semidirect
20. C₁₁×#3102	C₂	semidirect
21. C₁₁×#3035	C₂	semidirect
22. C₂×C₁₁×#463	C₂	semidirect
23. C₁₁×#2988	C₂	semidirect
24. C₂×C₁₁×#135	C₂²	semidirect
25. C₂²×C₁₁×SD₁₆	C₂²	semidirect
27. C₁₁×#559	C₂²	semidirect
28. C₁₁×#559	C₂²	semidirect
29. C₁₁×#556	C₂²	semidirect
32. C₁₁×#554	C₂²	semidirect
34. C₁₁×#553	C₂²	semidirect
38. C₁₁×#548	C₂²	semidirect
41. C₁₁×#546	C₂²	semidirect
42. C₁₁×#546	C₂²	semidirect
47. C₁₁×#532	C₂²	semidirect
48. C₁₁×#532	C₂²	semidirect
50. C₁₁×#529	C₂²	semidirect
51. C₁₁×#529	C₂²	semidirect
52. C₁₁×#529	C₂²	semidirect
53. C₂×C₁₁×#124	C₂²	semidirect
57. C₄×C₁₁×#41	C₂²	semidirect
59. C₂×C₄×D₄×C₁₁	C₂²	semidirect
60. C₁₁×#495	C₂²	semidirect
61. C₁₁×#495	C₂²	semidirect
63. C₁₁×#492	C₂²	semidirect
64. C₁₁×#488	C₂²	semidirect
65. C₁₁×#488	C₂²	semidirect
66. C₁₁×#487	C₂²	semidirect
67. C₁₁×#486	C₂²	semidirect
68. C₁₁×#485	C₂²	semidirect
69. C₁₁×#484	C₂²	semidirect
70. C₁₁×#482	C₂²	semidirect
71. C₁₁×#481	C₂²	semidirect
72. C₁₁×#479	C₂²	semidirect
73. C₁₁×#479	C₂²	semidirect
74. C₁₁×#478	C₂²	semidirect
75. C₁₁×#478	C₂²	semidirect
76. C₁₁×#478	C₂²	semidirect
77. C₁₁×#477	C₂²	semidirect
78. C₁₁×#476	C₂²	semidirect
79. C₁₁×#467	C₂²	semidirect
81. C₁₁×#466	C₂²	semidirect
82. C₁₁×#465	C₂²	semidirect
83. C₁₁×#465	C₂²	semidirect
84. C₁₁×#465	C₂²	semidirect
85. C₁₁×#464	C₂²	semidirect
86. C₁₁×#464	C₂²	semidirect
87. C₁₁×#464	C₂²	semidirect
90. C₁₁×#463	C₂²	semidirect
91. C₁₁×#463	C₂²	semidirect
92. C₁₁×#463	C₂²	semidirect
93. C₁₁×#463	C₂²	semidirect
94. C₁₁×#463	C₂²	semidirect
95. C₁₁×#463	C₂²	semidirect
96. C₁₁×#463	C₂²	semidirect
97. C₁₁×#463	C₂²	semidirect
98. C₁₁×#462	C₂²	semidirect
99. C₁₁×#461	C₂²	semidirect
100. C₁₁×#460	C₂²	semidirect
101. C₁₁×#460	C₂²	semidirect
104. C₁₁×#452	C₂²	semidirect
105. C₁₁×#451	C₂²	semidirect
106. C₁₁×#450	C₂²	semidirect
107. C₁₁×#450	C₂²	semidirect
109. C₁₁×#449	C₂²	semidirect
110. C₁₁×#449	C₂²	semidirect
111. C₁₁×#448	C₂²	semidirect
114. C₈×Q₈×C₁₁	C₂²	semidirect
115. C₈×Q₈×C₁₁	C₂²	semidirect
116. C₄×C₁₁×Q₁₆	C₂²	semidirect
117. C₄×C₁₁×SD₁₆	C₂²	semidirect
118. C₄×C₁₁×SD₁₆	C₂²	semidirect
119. C₄×C₁₁×SD₁₆	C₂²	semidirect
120. C₄×C₁₁×SD₁₆	C₂²	semidirect
122. C₄×C₁₁×D₈	C₂²	semidirect
123. C₄×C₁₁×D₈	C₂²	semidirect
126. C₈×D₄×C₁₁	C₂²	semidirect
127. C₈×D₄×C₁₁	C₂²	semidirect
128. C₁₁×#431	C₂²	semidirect
129. C₁₁×#431	C₂²	semidirect
130. C₂×C₁₁×C₄⋊C₈	C₂²	semidirect
131. C₂×C₁₁×C₄⋊C₈	C₂²	semidirect
132. C₁₁×#416	C₂²	semidirect
133. C₂×C₁₁×#103	C₂²	semidirect
134. C₂×C₁₁×#102	C₂²	semidirect
315. #61955	C₁₁	direct (N × H)
461. #3514	C₂×C₁₁	semidirect
462. #3481	C₂×C₁₁	semidirect
463. #3396	C₂×C₁₁	semidirect
464. #3394	C₂×C₁₁	semidirect
465. #3361	C₂×C₁₁	semidirect
466. #3360	C₂×C₁₁	semidirect
467. #3301	C₂×C₁₁	semidirect
468. #3299	C₂×C₁₁	semidirect
469. #3297	C₂×C₁₁	semidirect
470. #3295	C₂×C₁₁	semidirect
471. #3282	C₂×C₁₁	semidirect
472. D₄×SD₁₆	C₂×C₁₁	semidirect
473. #3280	C₂×C₁₁	semidirect
474. D₄×D₈	C₂×C₁₁	semidirect
475. #3250	C₂×C₁₁	semidirect
476. #3247	C₂×C₁₁	semidirect
477. #3211	C₂×C₁₁	semidirect
478. #3207	C₂×C₁₁	semidirect
479. #3105	C₂×C₁₁	semidirect
480. #3102	C₂×C₁₁	semidirect
481. #3035	C₂×C₁₁	semidirect
482. C₂×#463	C₂×C₁₁	semidirect
483. #2988	C₂×C₁₁	semidirect
525. D₄×C₁₁	#135	semidirect
569. C₂×#135	C₂²×C₁₁	semidirect
570. C₂²×SD₁₆	C₂²×C₁₁	semidirect
572. #559	C₂²×C₁₁	semidirect
573. #559	C₂²×C₁₁	semidirect
574. #556	C₂²×C₁₁	semidirect
577. #554	C₂²×C₁₁	semidirect
579. #553	C₂²×C₁₁	semidirect
583. #548	C₂²×C₁₁	semidirect
586. #546	C₂²×C₁₁	semidirect
587. #546	C₂²×C₁₁	semidirect
592. #532	C₂²×C₁₁	semidirect
593. #532	C₂²×C₁₁	semidirect
595. #529	C₂²×C₁₁	semidirect
596. #529	C₂²×C₁₁	semidirect
597. #529	C₂²×C₁₁	semidirect
598. C₂×#124	C₂²×C₁₁	semidirect
602. C₄×#41	C₂²×C₁₁	semidirect
604. C₂×C₄×D₄	C₂²×C₁₁	semidirect
605. #495	C₂²×C₁₁	semidirect
606. #495	C₂²×C₁₁	semidirect
608. #492	C₂²×C₁₁	semidirect
609. #488	C₂²×C₁₁	semidirect
610. #488	C₂²×C₁₁	semidirect
611. #487	C₂²×C₁₁	semidirect
612. #486	C₂²×C₁₁	semidirect
613. #485	C₂²×C₁₁	semidirect
614. #484	C₂²×C₁₁	semidirect
615. #482	C₂²×C₁₁	semidirect
616. #481	C₂²×C₁₁	semidirect
617. #479	C₂²×C₁₁	semidirect
618. #479	C₂²×C₁₁	semidirect
619. #478	C₂²×C₁₁	semidirect
620. #478	C₂²×C₁₁	semidirect
621. #478	C₂²×C₁₁	semidirect
622. #477	C₂²×C₁₁	semidirect
623. #476	C₂²×C₁₁	semidirect
624. #467	C₂²×C₁₁	semidirect
626. #466	C₂²×C₁₁	semidirect
627. #465	C₂²×C₁₁	semidirect
628. #465	C₂²×C₁₁	semidirect
629. #465	C₂²×C₁₁	semidirect
630. #464	C₂²×C₁₁	semidirect
631. #464	C₂²×C₁₁	semidirect
632. #464	C₂²×C₁₁	semidirect
635. #463	C₂²×C₁₁	semidirect
636. #463	C₂²×C₁₁	semidirect
637. #463	C₂²×C₁₁	semidirect
638. #463	C₂²×C₁₁	semidirect
639. #463	C₂²×C₁₁	semidirect
640. #463	C₂²×C₁₁	semidirect
641. #463	C₂²×C₁₁	semidirect
642. #463	C₂²×C₁₁	semidirect
643. #462	C₂²×C₁₁	semidirect
644. #461	C₂²×C₁₁	semidirect
645. #460	C₂²×C₁₁	semidirect
646. #460	C₂²×C₁₁	semidirect
649. #452	C₂²×C₁₁	semidirect
650. #451	C₂²×C₁₁	semidirect
651. #450	C₂²×C₁₁	semidirect
652. #450	C₂²×C₁₁	semidirect
654. #449	C₂²×C₁₁	semidirect
655. #449	C₂²×C₁₁	semidirect
656. #448	C₂²×C₁₁	semidirect
659. C₈×Q₈	C₂²×C₁₁	semidirect
660. C₈×Q₈	C₂²×C₁₁	semidirect
661. C₄×Q₁₆	C₂²×C₁₁	semidirect
662. C₄×SD₁₆	C₂²×C₁₁	semidirect
663. C₄×SD₁₆	C₂²×C₁₁	semidirect
664. C₄×SD₁₆	C₂²×C₁₁	semidirect
665. C₄×SD₁₆	C₂²×C₁₁	semidirect
667. C₄×D₈	C₂²×C₁₁	semidirect
668. C₄×D₈	C₂²×C₁₁	semidirect
671. C₈×D₄	C₂²×C₁₁	semidirect
672. C₈×D₄	C₂²×C₁₁	semidirect
673. #431	C₂²×C₁₁	semidirect
674. #431	C₂²×C₁₁	semidirect
675. C₂×C₄⋊C₈	C₂²×C₁₁	semidirect
676. C₂×C₄⋊C₈	C₂²×C₁₁	semidirect
677. #416	C₂²×C₁₁	semidirect
678. C₂×#103	C₂²×C₁₁	semidirect
679. C₂×#102	C₂²×C₁₁	semidirect
1053. C₁₁	#61955	direct (N × H)
1095. D₄	C₁₁×#135	semidirect

Maximal subgroups

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

subgroup	index
C₁₁×#3514	2
C₁₁×#3481	2
C₁₁×#3396	2
C₁₁×#3394	2
C₁₁×#3361	2
C₁₁×#3360	2
C₁₁×#3301	2
C₁₁×#3299	2
C₁₁×#3297	2
C₁₁×#3295	2
C₁₁×#3282	2
D₄×C₁₁×SD₁₆	2
C₁₁×#3280	2
D₄×C₁₁×D₈	2
C₁₁×#3250	2
C₁₁×#3247	2
C₁₁×#3211	2
C₁₁×#3207	2
C₁₁×#3105	2
C₁₁×#3102	2
C₁₁×#3035	2
C₂×C₁₁×#463	2
C₁₁×#2988	2
#61955	11

Subgroups — C11×#61955 #14639148

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61955 #14639148