Subgroups — C₁₁×#61488 #14638681

Order 2816.

1788 conjugacy classes of subgroups.

The subgroup lattice has 1078 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3524	C₂	1	2	yes	maximal, complemented
2	C₁₁×#3396	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3383	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#3371	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3341	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#3339	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₁×#3336	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₁×#3326	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3321	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3317	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3287	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3285	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3285	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3176	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3175	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#3168	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#3126	C₂	1	2	yes	maximal, complemented
18	C₁₁×#3125	C₂	1	2	yes	maximal, complemented
19	C₁₁×#3111	C₂	1	2	yes	maximal, complemented
20	C₁₁×#2966	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₁×#2951	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₁×#2950	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₁₁×#135	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×#135	C₂²	1	1	yes	characteristic
25	C₂×C₁₁×#135	C₂²	1	1	yes	characteristic
26	C₂²×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic
27	C₁₁×#559	—	2	2	no	—
28	C₁₁×#559	C₂²	1	2	yes	—
29	C₁₁×#557	C₂²	1	2	yes	—
30	C₁₁×#555	—	2	2	no	—
31	C₁₁×#555	C₂²	1	2	yes	—
32	C₁₁×#553	—	2	2	no	—
33	C₁₁×#553	C₂²	1	2	yes	—
34	C₁₁×#552	—	2	2	no	—
35	C₁₁×#552	C₂²	1	2	yes	—
36	C₁₁×#550	C₂²	1	2	yes	—
37	C₁₁×#548	C₂²	1	2	yes	—
38	C₁₁×#548	C₂²	1	2	yes	—
39	C₁₁×#542	—	2	2	no	—
40	C₁₁×#542	C₂²	1	2	yes	—
41	C₁₁×#540	—	2	2	no	—
42	C₁₁×#540	C₂²	1	2	yes	—
43	C₁₁×#529	—	2	2	no	—
44	C₁₁×#529	—	2	2	no	—
45	C₁₁×#529	C₂²	1	2	yes	—
46	C₁₁×#529	C₂²	1	1	yes	characteristic
47	C₁₁×#520	C₂²	1	2	yes	—
48	C₁₁×#519	C₂²	1	2	yes	—
49	C₄×C₁₁×#41	C₂²	1	2	yes	—
50	C₁₁×#500	C₂²	1	1	yes	characteristic
51	C₁₁×#499	C₂²	1	1	yes	characteristic
52	C₁₁×#499	C₂²	1	1	yes	characteristic
53	C₁₁×#495	C₂²	1	1	yes	characteristic
54	C₁₁×#495	C₂²	1	1	yes	characteristic
55	C₁₁×#493	C₂²	1	1	yes	characteristic
56	C₁₁×#490	C₂²	1	2	yes	—
57	C₁₁×#489	C₂²	1	2	yes	—
58	C₁₁×#488	C₂²	1	2	yes	—
59	C₁₁×#485	C₂²	1	2	yes	—
60	C₁₁×#483	C₂²	1	2	yes	—
61	C₁₁×#482	C₂²	1	2	yes	—
62	C₁₁×#482	C₂²	1	2	yes	—
63	C₁₁×#482	C₂²	1	2	yes	—
64	C₁₁×#481	C₂²	1	2	yes	—
65	C₁₁×#479	C₂²	1	2	yes	—
66	C₁₁×#479	C₂²	1	2	yes	—
67	C₁₁×#479	C₂²	1	2	yes	—
68	C₁₁×#478	C₂²	1	2	yes	—
69	C₁₁×#476	C₂²	1	2	yes	—
70	C₁₁×#475	C₂²	1	2	yes	—
71	C₁₁×#469	C₂²	1	2	yes	—
72	C₁₁×#468	C₂²	1	2	yes	—
73	C₁₁×#467	C₂²	1	1	yes	characteristic
74	C₁₁×#467	C₂²	1	1	yes	characteristic
75	C₁₁×#466	C₂²	1	1	yes	characteristic
76	C₁₁×#466	C₂²	1	1	yes	characteristic
77	C₁₁×#466	C₂²	1	1	yes	characteristic
78	C₁₁×#466	C₂²	1	1	yes	characteristic
79	C₁₁×#465	C₂²	1	2	yes	—
80	C₁₁×#464	C₂²	1	2	yes	—
81	C₁₁×#464	C₂²	1	2	yes	—
82	C₁₁×#463	C₂²	1	2	yes	—
83	C₁₁×#463	C₂²	1	2	yes	—
84	C₁₁×#460	C₂²	1	2	yes	—
85	C₁₁×#460	C₂²	1	2	yes	—
86	C₁₁×#452	C₂²	1	2	yes	—
87	C₁₁×#452	C₂²	1	2	yes	—
88	C₁₁×#449	C₂²	1	2	yes	—
89	C₁₁×#449	C₂²	1	2	yes	—
90	C₁₁×#448	C₂²	1	2	yes	—
91	C₁₁×#448	C₂²	1	2	yes	—
92	C₁₁×#446	C₂²	1	1	yes	characteristic
93	C₈×Q₈×C₁₁	C₂²	1	1	yes	characteristic
94	C₁₁×#442	C₂²	1	2	yes	—
95	C₁₁×#441	C₂²	1	2	yes	—
96	C₁₁×#441	C₂²	1	2	yes	—
97	C₁₁×#440	C₂²	1	2	yes	—
98	C₁₁×#440	C₂²	1	2	yes	—
99	C₁₁×#440	C₂²	1	2	yes	—
100	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic
101	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic
102	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic
103	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic
104	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic
105	C₄×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic
106	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
107	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
108	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
109	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
110	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
111	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
112	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
113	C₁₁×#436	C₂²	1	1	yes	characteristic
114	C₁₁×#435	C₂²	1	1	yes	characteristic
115	C₁₁×#435	C₂²	1	1	yes	characteristic
116	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic
117	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic
118	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic
119	C₁₁×#433	C₂²	1	1	yes	characteristic
120	C₁₁×#433	C₂²	1	1	yes	characteristic
121	C₁₁×#432	C₂²	1	1	yes	characteristic
122	C₁₁×#427	C₂²	1	1	yes	characteristic
123	C₁₁×#427	C₂²	1	1	yes	characteristic
124	C₂×C₁₁×#107	C₂²	1	1	yes	characteristic
125	C₁₁×#419	C₂²	1	2	yes	—
126	C₁₁×#417	C₂²	1	2	yes	—
127	C₁₁×#416	C₂²	1	2	yes	—
128	C₁₁×#405	C₂²	1	1	yes	characteristic
129	C₁₁×#405	C₂²	1	1	yes	characteristic
130	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
131	C₂×C₁₁×#41	C₂³	1	2	yes	—
132	C₂×C₁₁×#41	C₂³	1	2	yes	—
133	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
134	C₁₁×#135	—	2	4	no	—
135	C₁₁×#135	—	2	4	no	—
136	C₂×C₁₁×Q₁₆	—	2	4	no	—
137	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
138	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
139	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
140	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
141	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
142	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
143	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
144	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
145	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
146	C₂×C₁₁×D₈	C₂³	1	2	yes	—
147	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
149	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
150	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
151	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
152	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
153	C₁₁×C₄⋊Q₈	—	2	2	no	—
154	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
155	C₁₁×#127	—	2	2	no	—
156	C₁₁×#127	C₂³	1	2	yes	—
157	C₁₁×#126	—	2	2	no	—
158	C₁₁×#126	—	2	2	no	—
159	C₁₁×#126	—	2	2	no	—
160	C₁₁×#126	—	2	2	no	—
161	C₁₁×#126	D₄	1	1	yes	characteristic
162	C₁₁×#126	D₄	1	1	yes	characteristic
163	C₁₁×#125	—	2	2	no	—
164	C₁₁×#125	—	2	2	no	—
165	C₁₁×#125	—	2	2	no	—
166	C₁₁×#125	D₄	1	1	yes	characteristic
167	C₁₁×#125	C₂³	1	2	yes	—
168	C₁₁×#125	C₂³	1	2	yes	—
169	C₁₁×#124	—	2	2	no	—
170	C₁₁×#124	—	2	2	no	—
171	C₁₁×#124	—	2	2	no	—
172	C₁₁×#124	—	2	2	no	—
173	C₁₁×#124	—	2	2	no	—
174	C₁₁×#124	—	2	2	no	—
175	C₁₁×#124	D₄	1	1	yes	characteristic
176	C₁₁×#124	C₂³	1	2	yes	—
177	C₁₁×#124	C₂³	1	2	yes	—
178	C₁₁×#123	—	2	2	no	—
179	C₁₁×#123	—	2	2	no	—
180	C₁₁×#123	—	2	2	no	—
181	C₁₁×#123	—	2	2	no	—
182	C₁₁×#123	—	2	2	no	—
183	C₁₁×#123	—	2	2	no	—
184	C₁₁×#123	—	2	2	no	—
185	C₁₁×#123	—	2	2	no	—
186	C₁₁×#123	D₄	1	1	yes	characteristic
187	C₁₁×#123	D₄	1	1	yes	characteristic
188	C₁₁×C₂²⋊Q₈	—	2	2	no	—
189	C₁₁×C₂²⋊Q₈	—	2	2	no	—
190	C₁₁×C₂²⋊Q₈	—	2	2	no	—
191	C₁₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
192	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
193	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
194	C₁₁×#121	—	2	2	no	—
195	C₁₁×#121	—	2	2	no	—
196	C₁₁×#121	—	2	2	no	—
197	C₁₁×#121	—	2	2	no	—
198	C₁₁×#121	—	2	2	no	—
199	C₁₁×#121	—	2	2	no	—
200	C₁₁×#121	—	2	2	no	—
201	C₁₁×#121	—	2	2	no	—
202	C₁₁×#121	D₄	1	1	yes	characteristic
203	C₁₁×#121	C₂³	1	2	yes	—
204	C₁₁×#121	C₂³	1	2	yes	—
205	C₁₁×#121	C₂³	1	2	yes	—
206	C₁₁×#121	C₂³	1	2	yes	—
207	C₄×Q₈×C₁₁	—	2	2	no	—
208	C₄×Q₈×C₁₁	—	2	2	no	—
209	C₄×Q₈×C₁₁	—	2	2	no	—
210	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
211	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
212	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
213	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
214	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
215	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
216	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
217	C₄×D₄×C₁₁	—	2	2	no	—
218	C₄×D₄×C₁₁	—	2	2	no	—
219	C₄×D₄×C₁₁	—	2	2	no	—
220	C₄×D₄×C₁₁	—	2	2	no	—
221	C₄×D₄×C₁₁	—	2	2	no	—
222	C₄×D₄×C₁₁	—	2	2	no	—
223	C₄×D₄×C₁₁	—	2	2	no	—
224	C₄×D₄×C₁₁	—	2	2	no	—
225	C₄×D₄×C₁₁	—	2	2	no	—
226	C₄×D₄×C₁₁	—	2	2	no	—
227	C₄×D₄×C₁₁	C₂³	1	2	yes	—
228	C₄×D₄×C₁₁	C₂³	1	2	yes	—
229	C₄×D₄×C₁₁	C₂³	1	2	yes	—
230	C₄×D₄×C₁₁	C₂³	1	2	yes	—
231	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
232	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
233	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
234	C₁₁×#117	—	2	2	no	—
235	C₁₁×#117	—	2	2	no	—
236	C₁₁×#117	—	2	2	no	—
237	C₁₁×#117	—	2	2	no	—
238	C₁₁×#117	—	2	2	no	—
239	C₁₁×#117	—	2	2	no	—
240	C₁₁×#117	—	2	2	no	—
241	C₁₁×#117	C₂³	1	2	yes	—
242	C₁₁×#117	C₂³	1	2	yes	—
243	C₁₁×#117	C₂³	1	1	yes	characteristic
244	C₁₁×#117	C₂³	1	1	yes	characteristic
245	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
246	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
247	C₂×C₄²×C₁₁	—	2	2	no	—
248	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
249	C₁₁×#107	C₂³	1	1	yes	characteristic
250	C₁₁×#107	C₂³	1	1	yes	characteristic
251	C₁₁×#107	C₂³	1	1	yes	characteristic
252	C₁₁×#107	C₂³	1	2	yes	—
253	C₁₁×#107	C₂³	1	1	yes	characteristic
254	C₁₁×#107	C₂³	1	2	yes	—
255	C₁₁×#106	C₂³	1	2	yes	—
256	C₁₁×#106	C₂³	1	2	yes	—
257	C₁₁×#106	C₂³	1	2	yes	—
258	C₁₁×#106	C₂³	1	2	yes	—
259	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
260	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
261	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
264	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
265	C₁₁×#103	C₂³	1	2	yes	—
266	C₁₁×#103	C₂³	1	2	yes	—
267	C₁₁×#103	C₂³	1	2	yes	—
268	C₁₁×#103	C₂³	1	2	yes	—
269	C₁₁×#103	C₂³	1	2	yes	—
270	C₁₁×#103	C₂³	1	2	yes	—
271	C₁₁×#103	C₂³	1	2	yes	—
272	C₁₁×#103	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	—
279	C₁₁×#102	C₂³	1	2	yes	—
280	C₁₁×#102	C₂³	1	2	yes	—
281	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
286	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₁×#97	C₂³	1	1	yes	characteristic
288	C₁₁×#97	C₂³	1	1	yes	characteristic
289	C₁₁×#97	C₂³	1	1	yes	characteristic
290	C₁₁×#97	C₂³	1	1	yes	characteristic
291	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
292	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
293	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
294	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
295	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
296	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
297	#61488	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
298	C₁₁×#41	—	2	4	no	—
299	C₁₁×#41	—	2	4	no	—
300	C₁₁×#41	—	4	2	no	—
301	C₁₁×#41	—	4	2	no	—
302	C₂×Q₈×C₁₁	—	2	2	no	—
303	C₂×Q₈×C₁₁	—	2	2	no	—
304	C₂×Q₈×C₁₁	—	2	4	no	—
305	C₂×Q₈×C₁₁	—	4	2	no	—
306	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
307	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
308	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
309	C₂×D₄×C₁₁	—	2	2	no	—
310	C₂×D₄×C₁₁	—	2	2	no	—
311	C₂×D₄×C₁₁	—	2	2	no	—
312	C₂×D₄×C₁₁	—	2	2	no	—
313	C₂×D₄×C₁₁	—	2	2	no	—
314	C₂×D₄×C₁₁	—	2	2	no	—
315	C₂×D₄×C₁₁	—	2	2	no	—
316	C₂×D₄×C₁₁	—	2	2	no	—
317	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
318	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
319	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
320	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
321	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
322	C₂²×C₄×C₁₁	—	2	2	no	—
323	C₂²×C₄×C₁₁	—	2	2	no	—
324	C₂²×C₄×C₁₁	—	2	2	no	—
325	C₂²×C₄×C₁₁	—	2	2	no	—
326	C₂²×C₄×C₁₁	—	2	2	no	—
327	C₂²×C₄×C₁₁	—	2	2	no	—
328	C₂²×C₄×C₁₁	—	2	2	no	—
329	C₂²×C₄×C₁₁	—	2	2	no	—
330	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
331	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
332	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
335	C₁₁×Q₁₆	—	2	2	no	—
336	C₁₁×Q₁₆	—	2	4	no	—
337	C₁₁×Q₁₆	#41	1	4	yes	—
338	C₁₁×SD₁₆	—	2	4	no	—
339	C₁₁×SD₁₆	—	2	4	no	—
340	C₁₁×SD₁₆	—	4	2	no	—
341	C₁₁×SD₁₆	—	4	2	no	—
342	C₁₁×D₈	—	2	2	no	—
343	C₁₁×D₈	—	2	2	no	—
344	C₁₁×D₈	—	4	2	no	—
345	C₁₁×M₁₆	—	4	1	no	—
346	C₁₁×M₁₆	—	4	1	no	—
347	C₂×C₈×C₁₁	—	2	2	no	—
348	C₂×C₈×C₁₁	—	2	2	no	—
349	C₂×C₈×C₁₁	—	2	2	no	—
350	C₂×C₈×C₁₁	—	4	1	no	—
351	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
352	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
353	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
354	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
355	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
356	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
357	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
358	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
359	C₁₁×C₄⋊C₄	—	2	2	no	—
360	C₁₁×C₄⋊C₄	—	2	2	no	—
361	C₁₁×C₄⋊C₄	—	2	2	no	—
362	C₁₁×C₄⋊C₄	—	2	2	no	—
363	C₁₁×C₄⋊C₄	—	2	2	no	—
364	C₁₁×C₄⋊C₄	—	2	2	no	—
365	C₁₁×C₄⋊C₄	—	2	2	no	—
366	C₁₁×C₄⋊C₄	—	2	2	no	—
367	C₁₁×C₄⋊C₄	—	2	2	no	—
368	C₁₁×C₄⋊C₄	—	2	2	no	—
369	C₁₁×C₄⋊C₄	—	2	2	no	—
370	C₁₁×C₄⋊C₄	—	2	2	no	—
371	C₁₁×C₄⋊C₄	—	2	2	no	—
372	C₁₁×C₄⋊C₄	—	2	2	no	—
373	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
374	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
375	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
376	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
377	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
378	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
379	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
380	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
381	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
382	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
383	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
384	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
385	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
386	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
387	C₁₁×C₂²⋊C₄	—	2	2	no	—
388	C₁₁×C₂²⋊C₄	—	2	2	no	—
389	C₁₁×C₂²⋊C₄	—	2	2	no	—
390	C₁₁×C₂²⋊C₄	—	2	2	no	—
391	C₁₁×C₂²⋊C₄	—	2	2	no	—
392	C₁₁×C₂²⋊C₄	—	2	2	no	—
393	C₁₁×C₂²⋊C₄	—	2	2	no	—
394	C₁₁×C₂²⋊C₄	—	2	2	no	—
395	C₁₁×C₂²⋊C₄	—	2	2	no	—
396	C₁₁×C₂²⋊C₄	—	2	2	no	—
397	C₁₁×C₂²⋊C₄	—	2	2	no	—
398	C₁₁×C₂²⋊C₄	—	2	2	no	—
399	C₁₁×C₂²⋊C₄	—	2	2	no	—
400	C₁₁×C₂²⋊C₄	—	2	2	no	—
401	C₁₁×C₂²⋊C₄	—	2	2	no	—
402	C₁₁×C₂²⋊C₄	—	2	2	no	—
403	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
404	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
405	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
406	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
407	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
408	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
409	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
410	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
411	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
412	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
413	C₄²×C₁₁	—	2	2	no	—
414	C₄²×C₁₁	—	2	2	no	—
415	C₄²×C₁₁	—	2	2	no	—
416	C₄²×C₁₁	—	2	2	no	—
417	C₄²×C₁₁	—	2	2	no	—
418	C₄²×C₁₁	—	2	2	no	—
419	C₄²×C₁₁	—	2	2	no	—
420	C₄²×C₁₁	—	2	2	no	—
421	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
422	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
423	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
424	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
425	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
426	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
427	#3524	C₂×C₁₁	1	2	yes	complemented
428	#3396	C₂×C₁₁	1	1	yes	characteristic, complemented
429	#3383	C₂×C₁₁	1	1	yes	characteristic, complemented
430	#3371	C₂×C₁₁	1	2	yes	complemented
431	#3341	C₂×C₁₁	1	1	yes	characteristic, complemented
432	#3339	C₂×C₁₁	1	1	yes	characteristic, complemented
433	#3336	C₂×C₁₁	1	1	yes	characteristic, complemented
434	#3326	C₂×C₁₁	1	2	yes	complemented
435	#3321	C₂×C₁₁	1	2	yes	complemented
436	#3317	C₂×C₁₁	1	2	yes	complemented
437	#3287	C₂×C₁₁	1	1	yes	characteristic, complemented
438	#3285	C₂×C₁₁	1	1	yes	characteristic, complemented
439	#3285	C₂×C₁₁	1	1	yes	characteristic, complemented
440	#3176	C₂×C₁₁	1	1	yes	characteristic, complemented
441	#3175	C₂×C₁₁	1	1	yes	characteristic, complemented
442	#3168	C₂×C₁₁	1	1	yes	characteristic, complemented
443	#3126	C₂×C₁₁	1	2	yes	complemented
444	#3125	C₂×C₁₁	1	2	yes	complemented
445	#3111	C₂×C₁₁	1	2	yes	complemented
446	#2966	C₂×C₁₁	1	1	yes	characteristic, complemented
447	#2951	C₂×C₁₁	1	1	yes	characteristic, complemented
448	#2950	C₂×C₁₁	1	1	yes	characteristic, complemented
449	C₄×#135	C₂×C₁₁	1	1	yes	characteristic, complemented
450	C₂³×C₁₁	—	2	2	no	—
451	C₂³×C₁₁	—	2	2	no	—
452	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
453	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
454	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
455	Q₈×C₁₁	—	2	2	no	—
456	Q₈×C₁₁	—	2	2	no	—
457	Q₈×C₁₁	—	2	2	no	—
458	Q₈×C₁₁	—	4	1	no	—
459	Q₈×C₁₁	—	4	4	no	—
460	Q₈×C₁₁	—	8	2	no	—
461	Q₈×C₁₁	C₂×#41	1	4	yes	—
462	D₄×C₁₁	—	2	2	no	—
463	D₄×C₁₁	—	2	2	no	—
464	D₄×C₁₁	—	2	2	no	—
465	D₄×C₁₁	—	2	2	no	—
466	D₄×C₁₁	—	4	1	no	—
467	D₄×C₁₁	—	4	1	no	—
468	D₄×C₁₁	—	4	1	no	—
469	D₄×C₁₁	—	4	4	no	—
470	D₄×C₁₁	—	4	4	no	—
471	D₄×C₁₁	—	8	2	no	—
472	D₄×C₁₁	—	8	2	no	—
473	D₄×C₁₁	—	8	2	no	—
474	D₄×C₁₁	—	8	2	no	—
475	D₄×C₁₁	—	8	2	no	—
476	D₄×C₁₁	—	8	2	no	—
477	C₂×C₄×C₁₁	—	2	2	no	—
478	C₂×C₄×C₁₁	—	2	1	no	—
479	C₂×C₄×C₁₁	—	2	1	no	—
480	C₂×C₄×C₁₁	—	2	1	no	—
481	C₂×C₄×C₁₁	—	2	1	no	—
482	C₂×C₄×C₁₁	—	2	1	no	—
483	C₂×C₄×C₁₁	—	2	1	no	—
484	C₂×C₄×C₁₁	—	2	2	no	—
485	C₂×C₄×C₁₁	—	2	2	no	—
486	C₂×C₄×C₁₁	—	2	2	no	—
487	C₂×C₄×C₁₁	—	2	2	no	—
488	C₂×C₄×C₁₁	—	2	2	no	—
489	C₂×C₄×C₁₁	—	4	1	no	—
490	C₂×C₄×C₁₁	—	4	1	no	—
491	C₂×C₄×C₁₁	—	4	4	no	—
492	C₂×C₄×C₁₁	—	4	4	no	—
493	C₂×C₄×C₁₁	—	4	4	no	—
494	C₂×C₄×C₁₁	—	8	2	no	—
495	C₂×C₄×C₁₁	—	8	2	no	—
496	C₂×C₄×C₁₁	—	8	2	no	—
497	C₂×C₄×C₁₁	—	8	2	no	—
498	C₂×C₄×C₁₁	—	8	2	no	—
499	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
500	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
501	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
502	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
503	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
504	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
505	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
511	C₈×C₁₁	—	2	1	no	—
512	C₈×C₁₁	—	2	1	no	—
513	C₈×C₁₁	—	2	1	no	—
514	C₈×C₁₁	—	2	1	no	—
515	C₈×C₁₁	—	2	1	no	—
516	C₈×C₁₁	—	2	1	no	—
517	C₈×C₁₁	—	2	1	no	—
518	C₈×C₁₁	C₂×#41	1	2	yes	—
519	C₂×#135	C₂²×C₁₁	1	1	yes	characteristic
520	C₂×#135	C₂²×C₁₁	1	1	yes	characteristic
521	C₂²×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic
522	#559	—	2	2	no	—
523	#559	C₂²×C₁₁	1	2	yes	—
524	#557	C₂²×C₁₁	1	2	yes	—
525	#555	—	2	2	no	—
526	#555	C₂²×C₁₁	1	2	yes	—
527	#553	—	2	2	no	—
528	#553	C₂²×C₁₁	1	2	yes	—
529	#552	—	2	2	no	—
530	#552	C₂²×C₁₁	1	2	yes	—
531	#550	C₂²×C₁₁	1	2	yes	—
532	#548	C₂²×C₁₁	1	2	yes	—
533	#548	C₂²×C₁₁	1	2	yes	—
534	#542	—	2	2	no	—
535	#542	C₂²×C₁₁	1	2	yes	—
536	#540	—	2	2	no	—
537	#540	C₂²×C₁₁	1	2	yes	—
538	#529	—	2	2	no	—
539	#529	—	2	2	no	—
540	#529	C₂²×C₁₁	1	2	yes	—
541	#529	C₂²×C₁₁	1	1	yes	characteristic
542	#520	C₂²×C₁₁	1	2	yes	—
543	#519	C₂²×C₁₁	1	2	yes	—
544	C₄×#41	C₂²×C₁₁	1	2	yes	—
545	#500	C₂²×C₁₁	1	1	yes	characteristic
546	#499	C₂²×C₁₁	1	1	yes	characteristic
547	#499	C₂²×C₁₁	1	1	yes	characteristic
548	#495	C₂²×C₁₁	1	1	yes	characteristic
549	#495	C₂²×C₁₁	1	1	yes	characteristic
550	#493	C₂²×C₁₁	1	1	yes	characteristic
551	#490	C₂²×C₁₁	1	2	yes	—
552	#489	C₂²×C₁₁	1	2	yes	—
553	#488	C₂²×C₁₁	1	2	yes	—
554	#485	C₂²×C₁₁	1	2	yes	—
555	#483	C₂²×C₁₁	1	2	yes	—
556	#482	C₂²×C₁₁	1	2	yes	—
557	#482	C₂²×C₁₁	1	2	yes	—
558	#482	C₂²×C₁₁	1	2	yes	—
559	#481	C₂²×C₁₁	1	2	yes	—
560	#479	C₂²×C₁₁	1	2	yes	—
561	#479	C₂²×C₁₁	1	2	yes	—
562	#479	C₂²×C₁₁	1	2	yes	—
563	#478	C₂²×C₁₁	1	2	yes	—
564	#476	C₂²×C₁₁	1	2	yes	—
565	#475	C₂²×C₁₁	1	2	yes	—
566	#469	C₂²×C₁₁	1	2	yes	—
567	#468	C₂²×C₁₁	1	2	yes	—
568	#467	C₂²×C₁₁	1	1	yes	characteristic
569	#467	C₂²×C₁₁	1	1	yes	characteristic
570	#466	C₂²×C₁₁	1	1	yes	characteristic
571	#466	C₂²×C₁₁	1	1	yes	characteristic
572	#466	C₂²×C₁₁	1	1	yes	characteristic
573	#466	C₂²×C₁₁	1	1	yes	characteristic
574	#465	C₂²×C₁₁	1	2	yes	—
575	#464	C₂²×C₁₁	1	2	yes	—
576	#464	C₂²×C₁₁	1	2	yes	—
577	#463	C₂²×C₁₁	1	2	yes	—
578	#463	C₂²×C₁₁	1	2	yes	—
579	#460	C₂²×C₁₁	1	2	yes	—
580	#460	C₂²×C₁₁	1	2	yes	—
581	#452	C₂²×C₁₁	1	2	yes	—
582	#452	C₂²×C₁₁	1	2	yes	—
583	#449	C₂²×C₁₁	1	2	yes	—
584	#449	C₂²×C₁₁	1	2	yes	—
585	#448	C₂²×C₁₁	1	2	yes	—
586	#448	C₂²×C₁₁	1	2	yes	—
587	#446	C₂²×C₁₁	1	1	yes	characteristic
588	C₈×Q₈	C₂²×C₁₁	1	1	yes	characteristic
589	#442	C₂²×C₁₁	1	2	yes	—
590	#441	C₂²×C₁₁	1	2	yes	—
591	#441	C₂²×C₁₁	1	2	yes	—
592	#440	C₂²×C₁₁	1	2	yes	—
593	#440	C₂²×C₁₁	1	2	yes	—
594	#440	C₂²×C₁₁	1	2	yes	—
595	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic
596	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic
597	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic
598	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic
599	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic
600	C₄×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic
601	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
602	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
603	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
604	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
605	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
606	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
607	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
608	#436	C₂²×C₁₁	1	1	yes	characteristic
609	#435	C₂²×C₁₁	1	1	yes	characteristic
610	#435	C₂²×C₁₁	1	1	yes	characteristic
611	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic
612	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic
613	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic
614	#433	C₂²×C₁₁	1	1	yes	characteristic
615	#433	C₂²×C₁₁	1	1	yes	characteristic
616	#432	C₂²×C₁₁	1	1	yes	characteristic
617	#427	C₂²×C₁₁	1	1	yes	characteristic
618	#427	C₂²×C₁₁	1	1	yes	characteristic
619	C₂×#107	C₂²×C₁₁	1	1	yes	characteristic
620	#419	C₂²×C₁₁	1	2	yes	—
621	#417	C₂²×C₁₁	1	2	yes	—
622	#416	C₂²×C₁₁	1	2	yes	—
623	#405	C₂²×C₁₁	1	1	yes	characteristic
624	#405	C₂²×C₁₁	1	1	yes	characteristic
625	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
626	C₂²×C₁₁	—	2	1	no	—
627	C₂²×C₁₁	—	2	1	no	—
628	C₂²×C₁₁	—	2	1	no	—
629	C₂²×C₁₁	—	2	1	no	—
630	C₂²×C₁₁	—	2	1	no	—
631	C₂²×C₁₁	—	2	1	no	—
632	C₂²×C₁₁	—	2	1	no	—
633	C₂²×C₁₁	—	2	1	no	—
634	C₂²×C₁₁	—	2	1	no	—
635	C₂²×C₁₁	—	4	2	no	—
636	C₂²×C₁₁	—	4	2	no	—
637	C₂²×C₁₁	—	4	2	no	—
638	C₂²×C₁₁	—	4	2	no	—
639	C₂²×C₁₁	—	4	2	no	—
640	C₂²×C₁₁	—	4	2	no	—
641	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
642	C₄×C₁₁	—	2	1	no	—
643	C₄×C₁₁	—	2	1	no	—
644	C₄×C₁₁	—	2	1	no	—
645	C₄×C₁₁	—	2	1	no	—
646	C₄×C₁₁	—	2	1	no	—
647	C₄×C₁₁	—	2	1	no	—
648	C₄×C₁₁	—	2	1	no	—
649	C₄×C₁₁	—	2	1	no	—
650	C₄×C₁₁	—	2	1	no	—
651	C₄×C₁₁	—	2	1	no	—
652	C₄×C₁₁	—	2	1	no	—
653	C₄×C₁₁	—	2	4	no	—
654	C₄×C₁₁	—	4	2	no	—
655	C₄×C₁₁	—	4	2	no	—
656	C₄×C₁₁	—	4	2	no	—
657	C₄×C₁₁	—	4	2	no	—
658	C₄×C₁₁	—	4	2	no	—
659	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
660	C₄×C₁₁	#585	1	1	yes	characteristic
661	C₂×#41	C₂³×C₁₁	1	2	yes	—
662	C₂×#41	C₂³×C₁₁	1	2	yes	—
663	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
664	#135	—	2	4	no	—
665	#135	—	2	4	no	—
666	C₂×Q₁₆	—	2	4	no	—
667	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
668	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
669	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
670	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
671	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
672	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
673	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
674	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
675	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
676	C₂×D₈	C₂³×C₁₁	1	2	yes	—
677	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
678	C₂×M₁₆	C₂³×C₁₁	1	1	yes	characteristic
679	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
680	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
681	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
682	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
683	C₄⋊Q₈	—	2	2	no	—
684	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
685	#127	—	2	2	no	—
686	#127	C₂³×C₁₁	1	2	yes	—
687	#126	—	2	2	no	—
688	#126	—	2	2	no	—
689	#126	—	2	2	no	—
690	#126	—	2	2	no	—
691	#126	D₄×C₁₁	1	1	yes	characteristic
692	#126	D₄×C₁₁	1	1	yes	characteristic
693	#125	—	2	2	no	—
694	#125	—	2	2	no	—
695	#125	—	2	2	no	—
696	#125	D₄×C₁₁	1	1	yes	characteristic
697	#125	C₂³×C₁₁	1	2	yes	—
698	#125	C₂³×C₁₁	1	2	yes	—
699	#124	—	2	2	no	—
700	#124	—	2	2	no	—
701	#124	—	2	2	no	—
702	#124	—	2	2	no	—
703	#124	—	2	2	no	—
704	#124	—	2	2	no	—
705	#124	D₄×C₁₁	1	1	yes	characteristic
706	#124	C₂³×C₁₁	1	2	yes	—
707	#124	C₂³×C₁₁	1	2	yes	—
708	#123	—	2	2	no	—
709	#123	—	2	2	no	—
710	#123	—	2	2	no	—
711	#123	—	2	2	no	—
712	#123	—	2	2	no	—
713	#123	—	2	2	no	—
714	#123	—	2	2	no	—
715	#123	—	2	2	no	—
716	#123	D₄×C₁₁	1	1	yes	characteristic
717	#123	D₄×C₁₁	1	1	yes	characteristic
718	C₂²⋊Q₈	—	2	2	no	—
719	C₂²⋊Q₈	—	2	2	no	—
720	C₂²⋊Q₈	—	2	2	no	—
721	C₂²⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
722	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
723	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
724	#121	—	2	2	no	—
725	#121	—	2	2	no	—
726	#121	—	2	2	no	—
727	#121	—	2	2	no	—
728	#121	—	2	2	no	—
729	#121	—	2	2	no	—
730	#121	—	2	2	no	—
731	#121	—	2	2	no	—
732	#121	D₄×C₁₁	1	1	yes	characteristic
733	#121	C₂³×C₁₁	1	2	yes	—
734	#121	C₂³×C₁₁	1	2	yes	—
735	#121	C₂³×C₁₁	1	2	yes	—
736	#121	C₂³×C₁₁	1	2	yes	—
737	C₄×Q₈	—	2	2	no	—
738	C₄×Q₈	—	2	2	no	—
739	C₄×Q₈	—	2	2	no	—
740	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
741	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
742	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
743	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
744	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
745	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
746	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
747	C₄×D₄	—	2	2	no	—
748	C₄×D₄	—	2	2	no	—
749	C₄×D₄	—	2	2	no	—
750	C₄×D₄	—	2	2	no	—
751	C₄×D₄	—	2	2	no	—
752	C₄×D₄	—	2	2	no	—
753	C₄×D₄	—	2	2	no	—
754	C₄×D₄	—	2	2	no	—
755	C₄×D₄	—	2	2	no	—
756	C₄×D₄	—	2	2	no	—
757	C₄×D₄	C₂³×C₁₁	1	2	yes	—
758	C₄×D₄	C₂³×C₁₁	1	2	yes	—
759	C₄×D₄	C₂³×C₁₁	1	2	yes	—
760	C₄×D₄	C₂³×C₁₁	1	2	yes	—
761	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
762	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
763	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
764	#117	—	2	2	no	—
765	#117	—	2	2	no	—
766	#117	—	2	2	no	—
767	#117	—	2	2	no	—
768	#117	—	2	2	no	—
769	#117	—	2	2	no	—
770	#117	—	2	2	no	—
771	#117	C₂³×C₁₁	1	2	yes	—
772	#117	C₂³×C₁₁	1	2	yes	—
773	#117	C₂³×C₁₁	1	1	yes	characteristic
774	#117	C₂³×C₁₁	1	1	yes	characteristic
775	C₂×C₄⋊C₄	—	2	2	no	—
776	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
777	C₂×C₄²	—	2	2	no	—
778	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
779	#107	C₂³×C₁₁	1	1	yes	characteristic
780	#107	C₂³×C₁₁	1	1	yes	characteristic
781	#107	C₂³×C₁₁	1	2	yes	—
782	#107	C₂³×C₁₁	1	1	yes	characteristic
783	#107	C₂³×C₁₁	1	1	yes	characteristic
784	#107	C₂³×C₁₁	1	2	yes	—
785	#106	C₂³×C₁₁	1	2	yes	—
786	#106	C₂³×C₁₁	1	2	yes	—
787	#106	C₂³×C₁₁	1	2	yes	—
788	#106	C₂³×C₁₁	1	2	yes	—
789	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
790	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
791	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
792	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
793	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
794	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
795	#103	C₂³×C₁₁	1	2	yes	—
796	#103	C₂³×C₁₁	1	2	yes	—
797	#103	C₂³×C₁₁	1	2	yes	—
798	#103	C₂³×C₁₁	1	2	yes	—
799	#103	C₂³×C₁₁	1	2	yes	—
800	#103	C₂³×C₁₁	1	2	yes	—
801	#103	C₂³×C₁₁	1	2	yes	—
802	#103	C₂³×C₁₁	1	2	yes	—
803	#102	C₂³×C₁₁	1	2	yes	—
804	#102	C₂³×C₁₁	1	2	yes	—
805	#102	C₂³×C₁₁	1	2	yes	—
806	#102	C₂³×C₁₁	1	2	yes	—
807	#102	C₂³×C₁₁	1	2	yes	—
808	#102	C₂³×C₁₁	1	2	yes	—
809	#102	C₂³×C₁₁	1	2	yes	—
810	#102	C₂³×C₁₁	1	2	yes	—
811	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
812	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
813	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
814	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
815	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
816	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
817	#97	C₂³×C₁₁	1	1	yes	characteristic
818	#97	C₂³×C₁₁	1	1	yes	characteristic
819	#97	C₂³×C₁₁	1	1	yes	characteristic
820	#97	C₂³×C₁₁	1	1	yes	characteristic
821	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
822	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
823	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
824	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
825	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
826	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
827	C₂×C₁₁	—	4	1	no	—
828	C₂×C₁₁	—	4	1	no	—
829	C₂×C₁₁	—	4	1	no	—
830	C₂×C₁₁	—	8	2	no	—
831	C₂×C₁₁	—	8	2	no	—
832	C₂×C₁₁	D₄×#41	1	1	yes	characteristic
833	C₂×C₁₁	#3584	1	1	yes	characteristic
834	C₂×C₁₁	#3584	1	1	yes	characteristic
835	#41	—	2	4	no	—
836	#41	—	2	4	no	—
837	#41	—	4	2	no	—
838	#41	—	4	2	no	—
839	C₂×Q₈	—	2	2	no	—
840	C₂×Q₈	—	2	2	no	—
841	C₂×Q₈	—	2	4	no	—
842	C₂×Q₈	—	4	2	no	—
843	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
844	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
845	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
846	C₂×D₄	—	2	2	no	—
847	C₂×D₄	—	2	2	no	—
848	C₂×D₄	—	2	2	no	—
849	C₂×D₄	—	2	2	no	—
850	C₂×D₄	—	2	2	no	—
851	C₂×D₄	—	2	2	no	—
852	C₂×D₄	—	2	2	no	—
853	C₂×D₄	—	2	2	no	—
854	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
855	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
856	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
857	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
858	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
859	C₂²×C₄	—	2	2	no	—
860	C₂²×C₄	—	2	2	no	—
861	C₂²×C₄	—	2	2	no	—
862	C₂²×C₄	—	2	2	no	—
863	C₂²×C₄	—	2	2	no	—
864	C₂²×C₄	—	2	2	no	—
865	C₂²×C₄	—	2	2	no	—
866	C₂²×C₄	—	2	2	no	—
867	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
868	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
869	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
870	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
871	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
872	Q₁₆	—	2	4	no	—
873	Q₁₆	—	2	2	no	—
874	Q₁₆	C₁₁×#41	1	4	yes	—
875	SD₁₆	—	2	4	no	—
876	SD₁₆	—	2	4	no	—
877	SD₁₆	—	4	2	no	—
878	SD₁₆	—	4	2	no	—
879	D₈	—	2	2	no	—
880	D₈	—	2	2	no	—
881	D₈	—	4	2	no	—
882	M₁₆	—	4	1	no	—
883	M₁₆	—	4	1	no	—
884	C₂×C₈	—	2	2	no	—
885	C₂×C₈	—	2	2	no	—
886	C₂×C₈	—	2	2	no	—
887	C₂×C₈	—	4	1	no	—
888	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
889	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
890	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
891	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
892	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
893	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
894	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
895	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
896	C₄⋊C₄	—	2	2	no	—
897	C₄⋊C₄	—	2	2	no	—
898	C₄⋊C₄	—	2	2	no	—
899	C₄⋊C₄	—	2	2	no	—
900	C₄⋊C₄	—	2	2	no	—
901	C₄⋊C₄	—	2	2	no	—
902	C₄⋊C₄	—	2	2	no	—
903	C₄⋊C₄	—	2	2	no	—
904	C₄⋊C₄	—	2	2	no	—
905	C₄⋊C₄	—	2	2	no	—
906	C₄⋊C₄	—	2	2	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
911	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
912	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
913	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
914	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
915	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
916	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
917	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
918	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
919	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
920	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
921	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
922	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
923	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
924	C₂²⋊C₄	—	2	2	no	—
925	C₂²⋊C₄	—	2	2	no	—
926	C₂²⋊C₄	—	2	2	no	—
927	C₂²⋊C₄	—	2	2	no	—
928	C₂²⋊C₄	—	2	2	no	—
929	C₂²⋊C₄	—	2	2	no	—
930	C₂²⋊C₄	—	2	2	no	—
931	C₂²⋊C₄	—	2	2	no	—
932	C₂²⋊C₄	—	2	2	no	—
933	C₂²⋊C₄	—	2	2	no	—
934	C₂²⋊C₄	—	2	2	no	—
935	C₂²⋊C₄	—	2	2	no	—
936	C₂²⋊C₄	—	2	2	no	—
937	C₂²⋊C₄	—	2	2	no	—
938	C₂²⋊C₄	—	2	2	no	—
939	C₂²⋊C₄	—	2	2	no	—
940	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
941	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
942	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
943	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
944	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
945	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
946	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
947	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
948	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
949	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
950	C₄²	—	2	2	no	—
951	C₄²	—	2	2	no	—
952	C₄²	—	2	2	no	—
953	C₄²	—	2	2	no	—
954	C₄²	—	2	2	no	—
955	C₄²	—	2	2	no	—
956	C₄²	—	2	2	no	—
957	C₄²	—	2	2	no	—
958	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
959	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
960	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
961	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
962	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
963	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
964	C₁₁	#61488	1	1	yes	characteristic, direct product factor, Sylow
965	C₂³	—	2	2	no	—
966	C₂³	—	2	2	no	—
967	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
968	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
969	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
970	Q₈	—	2	2	no	—
971	Q₈	—	2	2	no	—
972	Q₈	—	2	2	no	—
973	Q₈	—	4	1	no	—
974	Q₈	—	4	4	no	—
975	Q₈	—	8	2	no	—
976	Q₈	C₂×C₁₁×#41	1	4	yes	—
977	D₄	—	2	2	no	—
978	D₄	—	2	2	no	—
979	D₄	—	2	2	no	—
980	D₄	—	2	2	no	—
981	D₄	—	4	1	no	—
982	D₄	—	4	1	no	—
983	D₄	—	4	1	no	—
984	D₄	—	4	4	no	—
985	D₄	—	4	4	no	—
986	D₄	—	8	2	no	—
987	D₄	—	8	2	no	—
988	D₄	—	8	2	no	—
989	D₄	—	8	2	no	—
990	D₄	—	8	2	no	—
991	D₄	—	8	2	no	—
992	C₂×C₄	—	2	2	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	1	no	—
996	C₂×C₄	—	2	1	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	2	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	4	1	no	—
1005	C₂×C₄	—	4	1	no	—
1006	C₂×C₄	—	4	4	no	—
1007	C₂×C₄	—	4	4	no	—
1008	C₂×C₄	—	4	4	no	—
1009	C₂×C₄	—	8	2	no	—
1010	C₂×C₄	—	8	2	no	—
1011	C₂×C₄	—	8	2	no	—
1012	C₂×C₄	—	8	2	no	—
1013	C₂×C₄	—	8	2	no	—
1014	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1015	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1016	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1017	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1018	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1019	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1020	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1021	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1022	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1023	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1024	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1025	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
1026	C₈	—	2	1	no	—
1027	C₈	—	2	1	no	—
1028	C₈	—	2	1	no	—
1029	C₈	—	2	1	no	—
1030	C₈	—	2	1	no	—
1031	C₈	—	2	1	no	—
1032	C₈	—	2	1	no	—
1033	C₈	C₂×C₁₁×#41	1	2	yes	—
1034	C₂²	—	2	1	no	—
1035	C₂²	—	2	1	no	—
1036	C₂²	—	2	1	no	—
1037	C₂²	—	2	1	no	—
1038	C₂²	—	2	1	no	—
1039	C₂²	—	2	1	no	—
1040	C₂²	—	2	1	no	—
1041	C₂²	—	2	1	no	—
1042	C₂²	—	2	1	no	—
1043	C₂²	—	4	2	no	—
1044	C₂²	—	4	2	no	—
1045	C₂²	—	4	2	no	—
1046	C₂²	—	4	2	no	—
1047	C₂²	—	4	2	no	—
1048	C₂²	—	4	2	no	—
1049	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
1050	C₄	—	2	1	no	—
1051	C₄	—	2	1	no	—
1052	C₄	—	2	1	no	—
1053	C₄	—	2	4	no	—
1054	C₄	—	2	1	no	—
1055	C₄	—	2	1	no	—
1056	C₄	—	2	1	no	—
1057	C₄	—	2	1	no	—
1058	C₄	—	2	1	no	—
1059	C₄	—	2	1	no	—
1060	C₄	—	2	1	no	—
1061	C₄	—	2	1	no	—
1062	C₄	—	4	2	no	—
1063	C₄	—	4	2	no	—
1064	C₄	—	4	2	no	—
1065	C₄	—	4	2	no	—
1066	C₄	—	4	2	no	—
1067	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
1068	C₄	C₁₁×#585	1	1	yes	characteristic
1069	C₂	—	4	1	no	—
1070	C₂	—	4	1	no	—
1071	C₂	—	4	1	no	—
1072	C₂	—	8	2	no	—
1073	C₂	—	8	2	no	—
1074	C₂	D₄×C₁₁×#41	1	1	yes	characteristic
1075	C₂	C₁₁×#3584	1	1	yes	characteristic
1076	C₂	C₁₁×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₁₁×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3524	C₂	semidirect
2. C₁₁×#3396	C₂	semidirect
3. C₁₁×#3383	C₂	semidirect
4. C₁₁×#3371	C₂	semidirect
5. C₁₁×#3341	C₂	semidirect
6. C₁₁×#3339	C₂	semidirect
7. C₁₁×#3336	C₂	semidirect
8. C₁₁×#3326	C₂	semidirect
9. C₁₁×#3321	C₂	semidirect
10. C₁₁×#3317	C₂	semidirect
11. C₁₁×#3287	C₂	semidirect
12. C₁₁×#3285	C₂	semidirect
13. C₁₁×#3285	C₂	semidirect
14. C₁₁×#3176	C₂	semidirect
15. C₁₁×#3175	C₂	semidirect
16. C₁₁×#3168	C₂	semidirect
17. C₁₁×#3126	C₂	semidirect
18. C₁₁×#3125	C₂	semidirect
19. C₁₁×#3111	C₂	semidirect
20. C₁₁×#2966	C₂	semidirect
21. C₁₁×#2951	C₂	semidirect
22. C₁₁×#2950	C₂	semidirect
23. C₄×C₁₁×#135	C₂	semidirect
297. #61488	C₁₁	direct (N × H)
427. #3524	C₂×C₁₁	semidirect
428. #3396	C₂×C₁₁	semidirect
429. #3383	C₂×C₁₁	semidirect
430. #3371	C₂×C₁₁	semidirect
431. #3341	C₂×C₁₁	semidirect
432. #3339	C₂×C₁₁	semidirect
433. #3336	C₂×C₁₁	semidirect
434. #3326	C₂×C₁₁	semidirect
435. #3321	C₂×C₁₁	semidirect
436. #3317	C₂×C₁₁	semidirect
437. #3287	C₂×C₁₁	semidirect
438. #3285	C₂×C₁₁	semidirect
439. #3285	C₂×C₁₁	semidirect
440. #3176	C₂×C₁₁	semidirect
441. #3175	C₂×C₁₁	semidirect
442. #3168	C₂×C₁₁	semidirect
443. #3126	C₂×C₁₁	semidirect
444. #3125	C₂×C₁₁	semidirect
445. #3111	C₂×C₁₁	semidirect
446. #2966	C₂×C₁₁	semidirect
447. #2951	C₂×C₁₁	semidirect
448. #2950	C₂×C₁₁	semidirect
449. C₄×#135	C₂×C₁₁	semidirect
964. C₁₁	#61488	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×#3524	2
C₁₁×#3396	2
C₁₁×#3383	2
C₁₁×#3371	2
C₁₁×#3341	2
C₁₁×#3339	2
C₁₁×#3336	2
C₁₁×#3326	2
C₁₁×#3321	2
C₁₁×#3317	2
C₁₁×#3287	2
C₁₁×#3285	2
C₁₁×#3176	2
C₁₁×#3175	2
C₁₁×#3168	2
C₁₁×#3126	2
C₁₁×#3125	2
C₁₁×#3111	2
C₁₁×#2966	2
C₁₁×#2951	2
C₁₁×#2950	2
C₄×C₁₁×#135	2
#61488	11

Subgroups — C11×#61488 #14638681

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61488 #14638681