Subgroups — #14724312

Order 2816.

630 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13079186	C₂	1	1	yes	maximal, characteristic
2	#13077585	C₂	1	2	yes	maximal, complemented
3	#13067512	C₂	1	1	yes	maximal, characteristic, complemented
4	#13067505	C₂	1	2	yes	maximal, complemented
5	#13067500	C₂	1	1	yes	maximal, characteristic, complemented
6	#13067422	C₂	1	1	yes	maximal, characteristic, complemented
7	#13067415	C₂	1	2	yes	maximal, complemented
8	#13067410	C₂	1	1	yes	maximal, characteristic, complemented
9	#13067074	C₂	1	2	yes	maximal, complemented
10	C₂×C₈×C₁₁⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#1568	C₂	1	1	yes	maximal, characteristic, complemented
12	#10623010	C₂²	1	2	yes	—
13	C₁₁×#432	C₂²	1	2	yes	—
14	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
15	#10622729	C₄	1	1	yes	characteristic
16	#10622728	C₄	1	1	yes	characteristic
17	#10622727	C₄	1	2	yes	—
18	C₂×C₄×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
19	C₂×C₄×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
20	#10622451	C₂²	1	2	yes	—
21	#10622447	C₂²	1	2	yes	—
22	#10622444	C₂²	1	2	yes	—
23	#10622443	C₂²	1	2	yes	—
24	#10622343	—	2	2	no	—
25	(C₂²⋊D₁₁)⋊C₈	—	2	2	no	—
26	#10622322	—	2	2	no	—
27	#10622321	—	2	2	no	—
28	C₄×Dic₄₄	C₂²	1	1	yes	characteristic
29	#10622310	C₄	1	2	yes	—
30	#10622309	C₄	1	1	yes	characteristic
31	C₄×D₈₈	C₂²	1	1	yes	characteristic
32	C₄×#4314	C₂²	1	2	yes	—
33	#10622296	C₄	1	1	yes	characteristic
34	C₁₁×#335	C₂²	1	1	yes	characteristic
35	C₁₁×#335	C₂²	1	1	yes	characteristic
36	C₁₁×#334	C₂²	1	2	yes	—
37	#10622122	C₂²	1	2	yes	—
38	#10622122	C₂²	1	2	yes	—
39	#10622121	C₂²	1	2	yes	—
40	#10622121	C₂²	1	2	yes	—
41	C₈×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
42	C₈×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
43	C₈×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
44	C₈×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
45	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
46	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
47	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
48	#66983	C₂×C₄	1	2	yes	—
49	#66982	—	2	2	no	—
50	C₄×C₂²⋊D₁₁	—	2	2	no	—
51	#66977	C₂×C₄	1	2	yes	—
52	C₂²×C₁₁⋊C₈	—	2	1	no	—
53	C₂²×C₁₁⋊C₈	D₄	1	1	yes	characteristic
54	C₂²×C₁₁⋊C₈	D₄	1	1	yes	characteristic
55	C₂×Dic₄₄	C₂×C₄	1	1	yes	characteristic
56	C₂×D₈₈	C₂×C₄	1	1	yes	characteristic
57	C₂×#4314	C₂×C₄	1	2	yes	—
58	C₂×#4313	—	2	2	no	—
59	C₂×C₈×D₁₁	—	2	2	no	—
60	#66929	—	2	2	no	—
61	#66928	C₂×C₄	1	2	yes	—
62	C₄×D₄₄	C₂³	1	2	yes	—
63	#66925	—	2	2	no	—
64	#66923	C₂×C₄	1	2	yes	—
65	C₄×Dic₂₂	C₂³	1	2	yes	—
66	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
67	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
68	C₁₁×C₂²⋊C₈	—	2	2	no	—
69	C₁₁×#97	—	2	2	no	—
70	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
71	C₄×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
72	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
73	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
74	#66885	C₂×C₄	1	2	yes	—
75	#66885	C₂×C₄	1	2	yes	—
76	(C₂×D₁₁)⋊C₈	—	2	2	no	—
77	(C₂×D₁₁)⋊C₈	—	2	2	no	—
78	#66882	C₂×C₄	1	1	yes	characteristic
79	#66882	C₂×C₄	1	1	yes	characteristic
80	#66881	C₂×C₄	1	2	yes	—
81	#66880	C₂×C₄	1	2	yes	—
82	#66880	C₂×C₄	1	2	yes	—
83	#66879	—	2	2	no	—
84	Dic₁₁⋊C₈	—	2	2	no	—
85	Dic₁₁⋊C₈	—	2	2	no	—
86	C₈×Dic₁₁	—	2	2	no	—
87	C₄×C₁₁⋊C₈	—	2	1	no	—
88	C₄×C₁₁⋊C₈	D₄	1	1	yes	characteristic
89	C₄×C₁₁⋊C₈	D₄	1	1	yes	characteristic
90	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
91	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
92	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
93	C₄×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
94	#17959	—	11	1	no	maximal, Sylow
95	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
96	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₁₁	#41	1	1	yes	characteristic
98	C₂×C₂²⋊D₁₁	—	2	2	no	—
99	C₂×D₄₄	C₂²×C₄	1	2	yes	—
100	C₂×C₄×D₁₁	—	2	2	no	—
101	C₂×Dic₂₂	C₂²×C₄	1	2	yes	—
102	C₂×C₈×C₁₁	—	2	2	no	—
103	C₂×C₈×C₁₁	—	2	2	no	—
104	C₂×C₈×C₁₁	—	2	2	no	—
105	C₂×C₈×C₁₁	—	2	2	no	—
106	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
107	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
108	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
109	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
110	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
111	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
112	C₄²×C₁₁	#41	1	1	yes	characteristic
113	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
114	C₂²⋊Dic₁₁	—	2	2	no	—
115	(C₂×D₁₁)⋊C₄	—	2	2	no	—
116	(C₂×D₁₁)⋊C₄	—	2	2	no	—
117	(C₂×D₁₁)⋊C₄	—	2	2	no	—
118	(C₂×D₁₁)⋊C₄	—	2	2	no	—
119	C₄⋊Dic₁₁	C₂²×C₄	1	2	yes	—
120	C₄⋊Dic₁₁	C₂²×C₄	1	2	yes	—
121	Dic₁₁⋊C₄	—	2	2	no	—
122	Dic₁₁⋊C₄	—	2	2	no	—
123	Dic₁₁⋊C₄	—	2	2	no	—
124	Dic₁₁⋊C₄	—	2	2	no	—
125	C₄×Dic₁₁	—	2	2	no	—
126	C₂×C₁₁⋊C₈	—	2	4	no	—
127	C₂×C₁₁⋊C₈	—	2	2	no	—
128	C₂×C₁₁⋊C₈	—	2	2	no	—
129	C₂×C₁₁⋊C₈	—	2	1	no	—
130	C₂×C₁₁⋊C₈	—	2	1	no	—
131	C₂×C₁₁⋊C₈	C₂×D₄	1	1	yes	characteristic
132	C₂×C₁₁⋊C₈	C₂×D₄	1	1	yes	characteristic
133	C₂×C₁₁⋊C₈	C₂×D₄	1	1	yes	characteristic
134	C₂×C₁₁⋊C₈	C₂×D₄	1	1	yes	characteristic
135	Dic₄₄	—	2	2	no	—
136	D₈₈	—	2	2	no	—
137	#4314	—	2	4	no	—
138	#4313	—	4	4	no	—
139	C₈×D₁₁	—	4	4	no	—
140	#3168	—	11	1	no	—
141	#2966	—	11	2	no	—
142	#1591	—	11	1	no	—
143	#1590	—	11	2	no	—
144	#1589	—	11	1	no	—
145	C₈×Q₁₆	—	11	1	no	—
146	C₈×SD₁₆	—	11	2	no	—
147	C₈×D₈	—	11	1	no	—
148	#1568	D₁₁	1	1	yes	characteristic, complemented
149	#1494	—	11	2	no	—
150	C₂×C₈²	—	11	1	no	—
151	C₂³×C₁₁	C₄×D₄	1	1	yes	characteristic
152	C₂²×D₁₁	—	2	2	no	—
153	C₂×C₄×C₁₁	—	2	2	no	—
154	C₂×C₄×C₁₁	—	2	1	no	—
155	C₂×C₄×C₁₁	—	2	1	no	—
156	C₂×C₄×C₁₁	—	2	1	no	—
157	C₂×C₄×C₁₁	—	2	1	no	—
158	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
159	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
160	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
161	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
162	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
164	C₂²⋊D₁₁	—	4	4	no	—
165	C₂×Dic₁₁	—	2	2	no	—
166	C₂×Dic₁₁	—	2	2	no	—
167	C₂×Dic₁₁	—	2	2	no	—
168	D₄₄	—	2	2	no	—
169	D₄₄	—	2	2	no	—
170	C₄×D₁₁	—	4	2	no	—
171	C₄×D₁₁	—	4	2	no	—
172	Dic₂₂	—	2	2	no	—
173	Dic₂₂	—	2	2	no	—
174	C₈×C₁₁	—	2	1	no	—
175	C₈×C₁₁	—	2	1	no	—
176	C₈×C₁₁	—	4	2	no	—
177	C₈×C₁₁	—	4	2	no	—
178	C₈×C₁₁	#131	1	2	yes	—
179	C₈×C₁₁	#131	1	2	yes	—
180	C₁₁⋊C₈	—	2	2	no	—
181	C₁₁⋊C₈	—	2	2	no	—
182	C₁₁⋊C₈	—	2	1	no	—
183	C₁₁⋊C₈	—	2	1	no	—
184	C₁₁⋊C₈	#135	1	2	yes	—
185	C₁₁⋊C₈	#135	1	2	yes	—
186	#529	—	11	2	no	—
187	#499	—	11	1	no	—
188	#495	—	11	1	no	—
189	#488	—	11	2	no	—
190	#467	—	11	1	no	—
191	#466	—	11	1	no	—
192	#465	—	11	2	no	—
193	#446	—	11	2	no	—
194	C₈×Q₈	—	11	2	no	—
195	C₄×Q₁₆	—	11	1	no	—
196	C₄×SD₁₆	—	11	2	no	—
197	C₄×D₈	—	11	1	no	—
198	#436	—	11	2	no	—
199	#435	—	22	2	no	—
200	C₈×D₄	—	11	2	no	—
201	C₈×D₄	—	22	2	no	—
202	#433	—	22	2	no	—
203	#432	C₂×D₁₁	1	2	yes	—
204	#405	—	22	2	no	—
205	C₂×C₄×C₈	—	11	1	no	—
206	C₂×C₄×C₈	—	11	1	no	—
207	C₂×C₄×C₈	C₂×D₁₁	1	1	yes	characteristic
208	#335	C₂×D₁₁	1	1	yes	characteristic
209	#335	C₂×D₁₁	1	1	yes	characteristic
210	#334	C₂×D₁₁	1	2	yes	—
211	Q₈⋊C₈	—	11	2	no	—
212	Q₈⋊C₈	—	11	2	no	—
213	D₄⋊C₈	—	11	2	no	—
214	D₄⋊C₈	—	11	2	no	—
215	C₈²	—	11	1	no	—
216	C₈²	—	11	1	no	—
217	C₈²	—	11	1	no	—
218	C₈²	—	11	1	no	—
219	C₂²×C₁₁	—	2	1	no	—
220	C₂²×C₁₁	—	2	1	no	—
221	C₂²×C₁₁	#443	1	2	yes	—
222	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
223	C₂×D₁₁	—	4	2	no	—
224	C₂×D₁₁	—	4	2	no	—
225	C₂×D₁₁	—	4	2	no	—
226	C₄×C₁₁	—	2	1	no	—
227	C₄×C₁₁	—	2	1	no	—
228	C₄×C₁₁	—	2	1	no	—
229	C₄×C₁₁	—	2	1	no	—
230	C₄×C₁₁	C₂×#131	1	1	yes	characteristic
231	C₄×C₁₁	C₂×#131	1	1	yes	characteristic
232	C₄×C₁₁	C₂×#135	1	1	yes	characteristic
233	C₄×C₁₁	C₂×#135	1	1	yes	characteristic
234	Dic₁₁	—	4	2	no	—
235	Dic₁₁	—	4	2	no	—
236	Dic₁₁	—	4	2	no	—
237	C₂×Q₁₆	—	11	1	no	—
238	C₂×SD₁₆	—	11	2	no	—
239	C₂×D₈	—	11	1	no	—
240	C₂×M₁₆	—	22	2	no	—
241	C₂²×C₈	—	11	1	no	—
242	C₂²×C₈	—	11	1	no	—
243	C₂²×C₈	—	22	2	no	—
244	C₂²×C₈	—	22	1	no	—
245	C₂²×C₈	C₄×D₁₁	1	1	yes	characteristic
246	C₂²×C₈	C₄×D₁₁	1	1	yes	characteristic
247	#126	—	22	2	no	—
248	#125	—	11	2	no	—
249	#124	—	11	2	no	—
250	#123	—	22	2	no	—
251	C₂²⋊Q₈	—	11	2	no	—
252	#121	—	11	2	no	—
253	C₄×Q₈	—	11	2	no	—
254	C₄×D₄	—	11	2	no	—
255	C₄×D₄	—	22	2	no	—
256	#117	—	22	2	no	—
257	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
258	#107	—	11	1	no	—
259	#107	—	11	1	no	—
260	#106	—	11	2	no	—
261	C₄⋊C₈	—	22	2	no	—
262	C₄⋊C₈	—	22	2	no	—
263	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
264	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
265	#103	—	11	2	no	—
266	#103	—	11	2	no	—
267	#102	—	11	2	no	—
268	#102	—	11	2	no	—
269	C₂²⋊C₈	—	2	2	no	—
270	C₂²⋊C₈	—	22	2	no	—
271	C₂²⋊C₈	—	22	2	no	—
272	#97	—	2	2	no	—
273	#97	—	22	2	no	—
274	C₄×C₈	—	11	1	no	—
275	C₄×C₈	—	11	1	no	—
276	C₄×C₈	—	11	1	no	—
277	C₄×C₈	—	11	1	no	—
278	C₄×C₈	—	11	1	no	—
279	C₄×C₈	—	11	1	no	—
280	C₄×C₈	—	22	2	no	—
281	C₄×C₈	—	22	1	no	—
282	C₄×C₈	C₄×D₁₁	1	1	yes	characteristic
283	C₄×C₈	C₄×D₁₁	1	1	yes	characteristic
284	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
285	C₄×C₈	C₂²×D₁₁	1	1	yes	characteristic
286	C₂×C₁₁	—	2	2	no	—
287	C₂×C₁₁	#2931	1	1	yes	characteristic
288	C₂×C₁₁	C₄×#135	1	1	yes	characteristic
289	C₂×C₁₁	C₂×#443	1	1	yes	characteristic
290	D₁₁	—	8	2	no	—
291	C₂×Q₈	—	11	2	no	—
292	C₂×D₄	—	11	2	no	—
293	C₂×D₄	—	22	2	no	—
294	C₂²×C₄	—	22	2	no	—
295	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
296	C₂²×C₄	D₄×D₁₁	1	1	yes	characteristic
297	C₂²×C₄	#4343	1	1	yes	characteristic
298	Q₁₆	—	22	2	no	—
299	SD₁₆	—	22	4	no	—
300	D₈	—	22	2	no	—
301	M₁₆	—	44	4	no	—
302	C₂×C₈	—	2	2	no	—
303	C₂×C₈	—	2	2	no	—
304	C₂×C₈	—	2	2	no	—
305	C₂×C₈	—	2	2	no	—
306	C₂×C₈	—	11	1	no	—
307	C₂×C₈	—	11	1	no	—
308	C₂×C₈	—	11	1	no	—
309	C₂×C₈	—	11	1	no	—
310	C₂×C₈	—	22	2	no	—
311	C₂×C₈	—	22	2	no	—
312	C₂×C₈	—	22	4	no	—
313	C₂×C₈	—	22	1	no	—
314	C₂×C₈	—	22	1	no	—
315	C₂×C₈	—	44	4	no	—
316	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
317	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
318	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
319	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
320	C₄⋊C₄	—	11	2	no	—
321	C₄⋊C₄	—	11	2	no	—
322	C₄⋊C₄	—	22	2	no	—
323	C₄⋊C₄	—	22	2	no	—
324	C₄⋊C₄	—	22	2	no	—
325	C₄⋊C₄	—	22	2	no	—
326	C₂²⋊C₄	—	22	2	no	—
327	C₂²⋊C₄	—	22	2	no	—
328	C₂²⋊C₄	—	22	2	no	—
329	C₂²⋊C₄	—	22	2	no	—
330	C₂²⋊C₄	—	22	2	no	—
331	C₄²	—	22	2	no	—
332	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
333	C₄²	D₄×D₁₁	1	1	yes	characteristic
334	C₄²	#4343	1	1	yes	characteristic
335	C₄²	C₂³×D₁₁	1	1	yes	characteristic
336	C₁₁	#17959	1	1	yes	characteristic, complemented, Sylow
337	C₂³	—	22	2	no	—
338	C₂³	#66946	1	1	yes	characteristic
339	Q₈	—	22	2	no	—
340	Q₈	—	22	2	no	—
341	D₄	—	22	2	no	—
342	D₄	—	22	2	no	—
343	D₄	—	44	4	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	1	no	—
347	C₂×C₄	—	2	1	no	—
348	C₂×C₄	—	2	1	no	—
349	C₂×C₄	—	22	2	no	—
350	C₂×C₄	—	22	2	no	—
351	C₂×C₄	—	22	2	no	—
352	C₂×C₄	—	44	2	no	—
353	C₂×C₄	—	44	2	no	—
354	C₂×C₄	#66946	1	1	yes	characteristic
355	C₂×C₄	#66946	1	1	yes	characteristic
356	C₂×C₄	#66946	1	1	yes	characteristic
357	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
358	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
359	C₂×C₄	C₂×#4343	1	1	yes	characteristic
360	C₈	—	2	1	no	—
361	C₈	—	2	1	no	—
362	C₈	—	4	2	no	—
363	C₈	—	4	2	no	—
364	C₈	—	11	2	no	—
365	C₈	—	11	2	no	—
366	C₈	—	22	2	no	—
367	C₈	—	22	2	no	—
368	C₈	—	22	1	no	—
369	C₈	—	22	1	no	—
370	C₈	#66960	1	2	yes	—
371	C₈	#66960	1	2	yes	—
372	C₂²	—	2	1	no	—
373	C₂²	—	2	1	no	—
374	C₂²	—	44	2	no	—
375	C₂²	—	44	2	no	—
376	C₂²	—	44	2	no	—
377	C₂²	#10622508	1	2	yes	—
378	C₂²	C₂×#66946	1	1	yes	characteristic
379	C₄	—	2	1	no	—
380	C₄	—	2	1	no	—
381	C₄	—	2	1	no	—
382	C₄	—	2	1	no	—
383	C₄	—	44	2	no	—
384	C₄	—	44	2	no	—
385	C₄	—	44	2	no	—
386	C₄	C₂×#66960	1	1	yes	characteristic
387	C₄	C₂×#66960	1	1	yes	characteristic
388	C₄	D₁₁×#135	1	1	yes	characteristic
389	C₄	D₁₁×#135	1	1	yes	characteristic
390	C₂	—	2	2	no	—
391	C₂	—	88	2	no	—
392	C₂	#13077327	1	1	yes	characteristic
393	C₂	#13077387	1	1	yes	characteristic
394	C₂	C₂×#10622508	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₁
commutator	C₂×C₄×C₁₁	C₂³×C₄
Frattini	C₄²	C₂³×D₁₁
Fitting	C₁₁×#1568	C₂
socle	C₂²×C₁₁	C₂×C₄×D₄
prime radical	#10622728	C₄
cosocle	C₄²×C₁₁	C₂⁴
hypercenter	#1568	D₁₁
hypocenter	C₁₁	#17959
LCS	G ▷ C₂×C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1568

Complements

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

N	H ≅ G/N	type
2. #13077585	C₂	semidirect
3. #13067512	C₂	semidirect
4. #13067505	C₂	semidirect
5. #13067500	C₂	semidirect
6. #13067422	C₂	semidirect
7. #13067415	C₂	semidirect
8. #13067410	C₂	semidirect
9. #13067074	C₂	semidirect
10. C₂×C₈×C₁₁⋊C₈	C₂	semidirect
11. C₁₁×#1568	C₂	semidirect
148. #1568	D₁₁	semidirect
336. C₁₁	#17959	semidirect

Maximal subgroups

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

subgroup	index
#13079186	2
#13077585	2
#13067512	2
#13067505	2
#13067500	2
#13067422	2
#13067415	2
#13067410	2
#13067074	2
C₂×C₈×C₁₁⋊C₈	2
C₁₁×#1568	2
#17959	11