Subgroups — #27355560

Order 13568.

652 conjugacy classes of subgroups.

The subgroup lattice has 404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20283731	C₂	1	2	yes	maximal, complemented
2	C₄×#13133236	C₂	1	1	yes	maximal, characteristic
3	#20273600	C₂	1	1	yes	maximal, characteristic, complemented
4	#20273561	C₂	1	2	yes	maximal, complemented
5	#20273556	C₂	1	2	yes	maximal, complemented
6	C₈×Dic₂₁₂	C₂	1	1	yes	maximal, characteristic, complemented
7	#20273521	C₂	1	1	yes	maximal, characteristic, complemented
8	#20273477	C₂	1	1	yes	maximal, characteristic, complemented
9	#20273146	C₂	1	2	yes	maximal, complemented
10	C₈×#11719912	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅₃×#1589	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13133236	C₄	1	1	yes	characteristic
13	C₄×#11719947	C₂²	1	2	yes	—
14	C₈×Dic₁₀₆	C₂²	1	2	yes	—
15	#16810747	C₂²	1	2	yes	—
16	C₄×Dic₂₁₂	C₂²	1	1	yes	characteristic
17	#16810717	C₄	1	1	yes	characteristic
18	#16810714	C₄	1	2	yes	—
19	C₄×#11719923	C₂²	1	2	yes	—
20	D₈×Dic₅₃	C₄	1	1	yes	characteristic
21	#16810701	C₂²	1	2	yes	—
22	#16810699	—	2	2	no	—
23	#16810698	—	2	2	no	—
24	#16810679	C₂²	1	2	yes	—
25	#16810677	—	2	2	no	—
26	#16810674	C₂²	1	1	yes	characteristic
27	#16810660	C₄	1	1	yes	characteristic
28	#16810616	C₄	1	2	yes	—
29	M₁₆×Dic₅₃	—	2	2	no	—
30	C₄×#11719912	C₂²	1	1	yes	characteristic
31	C₄×C₈×D₅₃	C₂²	1	1	yes	characteristic
32	#16810376	C₂²	1	1	yes	characteristic
33	#16810373	C₂²	1	2	yes	—
34	#16810355	C₂²	1	2	yes	—
35	#16810353	C₂²	1	2	yes	—
36	D₄⋊#88322	C₂²	1	2	yes	—
37	#16810345	C₂²	1	1	yes	characteristic
38	#16810344	C₂²	1	1	yes	characteristic
39	C₈×#88322	C₂²	1	1	yes	characteristic
40	C₄×D₈×C₅₃	C₂²	1	1	yes	characteristic
41	C₅₃×#436	C₂²	1	2	yes	—
42	C₅₃×#335	C₂²	1	1	yes	characteristic
43	C₅₃×D₄⋊C₈	C₂²	1	2	yes	—
44	C₈²×C₅₃	C₂²	1	1	yes	characteristic
45	C₂×#11719947	C₂×C₄	1	2	yes	—
46	#13133236	—	2	4	no	—
47	C₂×Dic₂₁₂	C₂×C₄	1	1	yes	characteristic
48	C₂×#11719923	C₂×C₄	1	2	yes	—
49	C₂×#11719917	—	2	2	no	—
50	C₂×#11719912	D₄	1	1	yes	characteristic
51	C₂×#11719912	D₄	1	1	yes	characteristic
52	C₂×C₈×D₅₃	C₂×C₄	1	1	yes	characteristic
53	C₂×C₈×D₅₃	C₂×C₄	1	1	yes	characteristic
54	C₄×Dic₁₀₆	C₂³	1	2	yes	—
55	#13133182	C₂×C₄	1	2	yes	—
56	D₄×Dic₅₃	C₂×C₄	1	2	yes	—
57	C₄×C₂²⋊D₅₃	—	2	2	no	—
58	#13133177	—	2	2	no	—
59	#13133175	C₂×C₄	1	2	yes	—
60	#13133173	—	2	2	no	—
61	C₂×C₄×Dic₅₃	—	2	2	no	—
62	C₄²×D₅₃	C₂³	1	1	yes	characteristic
63	#13133151	C₂×C₄	1	1	yes	characteristic
64	#13133148	C₂×C₄	1	2	yes	—
65	C₄⋊#88322	C₂³	1	2	yes	—
66	#13133146	—	2	2	no	—
67	#13133146	—	2	1	no	—
68	#13133146	—	2	2	no	—
69	#13133142	C₂×C₄	1	2	yes	—
70	#13133140	C₂×C₄	1	2	yes	—
71	#13133138	C₂×C₄	1	2	yes	—
72	C₂²⋊#88322	—	2	2	no	—
73	#13133129	—	2	2	no	—
74	#13133129	—	2	1	no	—
75	#13133127	—	2	2	no	—
76	#13133127	D₄	1	1	yes	characteristic
77	#13133127	D₄	1	1	yes	characteristic
78	C₄×#88322	C₂³	1	1	yes	characteristic
79	C₄×#88322	C₂³	1	1	yes	characteristic
80	C₄×#88322	C₂³	1	1	yes	characteristic
81	C₈×Dic₅₃	—	2	2	no	—
82	C₈×Dic₅₃	—	2	2	no	—
83	C₈×Dic₅₃	C₂×C₄	1	1	yes	characteristic
84	C₈×Dic₅₃	C₂×C₄	1	1	yes	characteristic
85	C₂×D₈×C₅₃	C₂×C₄	1	1	yes	characteristic
86	C₂×M₁₆×C₅₃	—	2	2	no	—
87	C₄×D₄×C₅₃	C₂³	1	2	yes	—
88	#107×C₅₃	C₂×C₄	1	1	yes	characteristic
89	C₄⋊C₈×C₅₃	C₂³	1	2	yes	—
90	#102×C₅₃	C₂×C₄	1	2	yes	—
91	C₂²⋊C₈×C₅₃	—	2	2	no	—
92	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
93	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
94	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
95	C₂×D₄×C₅₃	C₂²×C₄	1	2	yes	—
96	C₂²×C₄×C₅₃	—	2	2	no	—
97	C₂×C₂²⋊D₅₃	—	2	2	no	—
98	C₂²×Dic₅₃	—	2	2	no	—
99	C₂²×Dic₅₃	—	2	2	no	—
100	#11719947	—	2	4	no	—
101	#11719947	—	4	2	no	—
102	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
103	C₂×C₄×D₅₃	C₂×D₄	1	1	yes	characteristic
104	C₂×C₄×D₅₃	#41	1	1	yes	characteristic
105	C₂×Dic₁₀₆	C₂²×C₄	1	2	yes	—
106	D₈×C₅₃	—	2	2	no	—
107	M₁₆×C₅₃	—	4	4	no	—
108	C₂×C₈×C₅₃	—	2	2	no	—
109	C₂×C₈×C₅₃	—	2	1	no	—
110	C₂×C₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
111	C₂×C₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
112	C₂×C₈×C₅₃	C₂×D₄	1	1	yes	characteristic
113	C₂×C₈×C₅₃	C₂×D₄	1	1	yes	characteristic
114	C₄⋊C₄×C₅₃	C₂²×C₄	1	2	yes	—
115	C₂²⋊C₄×C₅₃	—	2	2	no	—
116	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
117	C₂²⋊Dic₅₃	—	2	2	no	—
118	#11719923	—	2	4	no	—
119	#11719921	—	2	2	no	—
120	C₄⋊Dic₅₃	C₂²×C₄	1	2	yes	—
121	#11719919	—	2	2	no	—
122	#11719919	—	2	2	no	—
123	C₄×Dic₅₃	—	2	2	no	—
124	C₄×Dic₅₃	—	2	2	no	—
125	C₄×Dic₅₃	—	2	2	no	—
126	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
127	C₄×Dic₅₃	C₂×D₄	1	1	yes	characteristic
128	C₄×Dic₅₃	#41	1	1	yes	characteristic
129	#11719917	—	4	4	no	—
130	C₂×#88322	—	2	2	no	—
131	C₂×#88322	—	2	1	no	—
132	C₂×#88322	C₂²×C₄	1	1	yes	characteristic
133	C₂×#88322	C₂²×C₄	1	1	yes	characteristic
134	C₂×#88322	C₂×D₄	1	1	yes	characteristic
135	C₂×#88322	C₂×D₄	1	1	yes	characteristic
136	Dic₂₁₂	M₁₆	1	4	yes	complemented
137	#11719912	—	2	2	no	—
138	#11719912	—	2	2	no	—
139	C₈×D₅₃	—	2	2	no	—
140	C₈×D₅₃	—	4	1	no	—
141	C₂³×C₅₃	—	2	2	no	—
142	C₂²×D₅₃	C₄×D₄	1	1	yes	characteristic
143	D₄×C₅₃	—	2	2	no	—
144	D₄×C₅₃	—	2	2	no	—
145	C₂×C₄×C₅₃	—	2	2	no	—
146	C₂×C₄×C₅₃	—	4	2	no	—
147	C₂×C₄×C₅₃	—	4	2	no	—
148	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
149	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
150	C₂×C₄×C₅₃	C₂×#41	1	1	yes	characteristic
151	C₂²⋊D₅₃	—	4	4	no	—
152	C₂×Dic₅₃	—	2	2	no	—
153	C₂×Dic₅₃	—	2	2	no	—
154	C₂×Dic₅₃	—	4	4	no	—
155	C₂×Dic₅₃	—	8	2	no	—
156	C₂×Dic₅₃	C₄×D₄	1	1	yes	characteristic
157	C₂×Dic₅₃	C₄×D₄	1	1	yes	characteristic
158	C₂×Dic₅₃	C₄×D₄	1	1	yes	characteristic
159	C₄×D₅₃	—	2	1	no	—
160	C₄×D₅₃	—	2	1	no	—
161	C₄×D₅₃	—	2	1	no	—
162	C₄×D₅₃	—	2	1	no	—
163	C₄×D₅₃	—	4	1	no	—
164	Dic₁₀₆	—	2	2	no	—
165	Dic₁₀₆	C₂×M₁₆	1	4	yes	—
166	C₈×C₅₃	—	2	1	no	—
167	C₈×C₅₃	—	2	1	no	—
168	C₈×C₅₃	—	4	1	no	—
169	C₈×C₅₃	—	4	2	no	—
170	C₈×C₅₃	C₂×M₁₆	1	2	yes	—
171	C₈×C₅₃	#135	1	2	yes	complemented
172	#88322	—	2	1	no	—
173	#88322	—	2	1	no	—
174	#88322	—	2	1	no	—
175	#88322	—	4	1	no	—
176	#88322	—	4	2	no	—
177	#88322	#135	1	2	yes	complemented
178	#18039	—	53	1	no	maximal, Sylow
179	C₂²×C₅₃	—	4	2	no	—
180	C₂²×C₅₃	—	4	2	no	—
181	C₂²×C₅₃	—	4	2	no	—
182	C₂²×C₅₃	C₂×C₄×D₄	1	1	yes	characteristic
183	C₂×D₅₃	—	2	1	no	—
184	C₂×D₅₃	—	2	1	no	—
185	C₂×D₅₃	—	2	1	no	—
186	C₄×C₅₃	—	2	1	no	—
187	C₄×C₅₃	—	4	2	no	—
188	C₄×C₅₃	C₂²×M₁₆	1	1	yes	characteristic
189	C₄×C₅₃	#568	1	1	yes	characteristic
190	C₄×C₅₃	C₂×#135	1	1	yes	characteristic
191	C₄×C₅₃	C₂×#135	1	1	yes	characteristic
192	Dic₅₃	—	2	4	no	—
193	Dic₅₃	—	2	1	no	—
194	Dic₅₃	—	2	1	no	—
195	Dic₅₃	—	2	1	no	—
196	Dic₅₃	—	4	2	no	—
197	#2971	—	53	2	no	—
198	C₄×#135	—	53	1	no	—
199	#1589	—	53	1	no	—
200	#1589	D₅₃	1	1	yes	characteristic, complemented
201	#1583	—	53	2	no	—
202	#1583	—	53	2	no	—
203	C₈×Q₁₆	—	53	1	no	—
204	C₈×Q₁₆	—	53	1	no	—
205	#1568	—	53	1	no	—
206	#1488	—	53	2	no	—
207	C₈×M₁₆	—	53	1	no	—
208	C₂×C₅₃	—	8	2	no	—
209	C₂×C₅₃	D₄×M₁₆	1	1	yes	characteristic
210	C₂×C₅₃	C₄×#135	1	1	yes	characteristic
211	C₂×C₅₃	#2957	1	1	yes	characteristic
212	D₅₃	—	4	1	no	—
213	C₂×#135	—	53	1	no	—
214	C₄×#41	—	53	2	no	—
215	C₈×Q₈	—	53	2	no	—
216	C₈×Q₈	—	53	2	no	—
217	C₄×Q₁₆	—	53	1	no	—
218	C₄×Q₁₆	—	53	1	no	—
219	C₄×SD₁₆	—	53	2	no	—
220	C₄×SD₁₆	—	53	2	no	—
221	C₄×D₈	—	53	1	no	—
222	C₄×D₈	C₂×D₅₃	1	1	yes	characteristic
223	#436	—	53	2	no	—
224	#436	—	106	2	no	—
225	#436	—	106	2	no	—
226	#436	C₂×D₅₃	1	2	yes	—
227	#432	—	53	2	no	—
228	#432	—	106	2	no	—
229	#431	—	53	1	no	—
230	#427	—	53	1	no	—
231	#416	—	53	2	no	—
232	C₄×M₁₆	—	53	1	no	—
233	C₄×M₁₆	—	106	2	no	—
234	C₂×C₄×C₈	—	53	1	no	—
235	#335	—	53	1	no	—
236	#335	C₂×D₅₃	1	1	yes	characteristic
237	#334	—	53	2	no	—
238	Q₈⋊C₈	—	53	2	no	—
239	Q₈⋊C₈	—	53	2	no	—
240	D₄⋊C₈	—	53	2	no	—
241	D₄⋊C₈	C₂×D₅₃	1	2	yes	—
242	#322	—	53	1	no	—
243	#322	—	53	1	no	—
244	C₈²	—	53	1	no	—
245	C₈²	C₂×D₅₃	1	1	yes	characteristic
246	C₅₃	#18039	1	1	yes	characteristic, complemented, Sylow
247	C₂×#41	—	53	2	no	—
248	#135	—	106	4	no	—
249	C₂×Q₁₆	—	53	1	no	—
250	C₂×SD₁₆	—	53	2	no	—
251	C₂×D₈	C₄×D₅₃	1	1	yes	characteristic
252	C₂×M₁₆	—	2	2	no	—
253	C₂×M₁₆	—	53	1	no	—
254	C₂×M₁₆	—	53	1	no	—
255	C₂×M₁₆	—	106	2	no	—
256	C₂²×C₈	—	53	1	no	—
257	C₂²×C₈	—	53	1	no	—
258	C₄×Q₈	—	53	2	no	—
259	C₄×Q₈	—	53	2	no	—
260	C₄×D₄	—	53	2	no	—
261	C₄×D₄	—	106	2	no	—
262	C₄×D₄	—	106	2	no	—
263	C₄×D₄	C₂²×D₅₃	1	2	yes	—
264	#117	—	53	2	no	—
265	#117	—	106	2	no	—
266	C₂×C₄²	—	53	1	no	—
267	C₂×C₄²	—	106	2	no	—
268	#107	—	53	1	no	—
269	#107	C₄×D₅₃	1	1	yes	characteristic
270	#106	—	53	2	no	—
271	C₄⋊C₈	—	53	2	no	—
272	C₄⋊C₈	—	106	1	no	—
273	C₄⋊C₈	—	106	2	no	—
274	C₄⋊C₈	—	106	2	no	—
275	C₄⋊C₈	C₂²×D₅₃	1	2	yes	—
276	#103	—	53	2	no	—
277	#103	—	53	2	no	—
278	#102	—	53	2	no	—
279	#102	C₄×D₅₃	1	2	yes	—
280	C₂²⋊C₈	—	2	2	no	—
281	C₂²⋊C₈	—	106	1	no	—
282	C₂²⋊C₈	—	106	2	no	—
283	C₂²⋊C₈	—	106	2	no	—
284	#97	—	53	1	no	—
285	#97	—	53	1	no	—
286	#97	—	106	2	no	—
287	C₄×C₈	—	53	1	no	—
288	C₄×C₈	—	53	1	no	—
289	C₄×C₈	—	53	1	no	—
290	C₄×C₈	—	53	1	no	—
291	C₄×C₈	—	53	1	no	—
292	C₄×C₈	—	106	2	no	—
293	C₄×C₈	—	106	2	no	—
294	C₄×C₈	C₂²×D₅₃	1	1	yes	characteristic
295	C₄×C₈	C₂²×D₅₃	1	1	yes	characteristic
296	C₄×C₈	C₂²×D₅₃	1	1	yes	characteristic
297	#41	—	106	4	no	—
298	#41	—	212	2	no	—
299	C₂×Q₈	—	53	2	no	—
300	C₂×D₄	—	106	2	no	—
301	C₂×D₄	C₂×C₄×D₅₃	1	2	yes	—
302	C₂²×C₄	—	2	2	no	—
303	C₂²×C₄	—	53	1	no	—
304	C₂²×C₄	—	53	1	no	—
305	C₂²×C₄	—	53	1	no	—
306	C₂²×C₄	—	106	2	no	—
307	C₂²×C₄	—	106	2	no	—
308	Q₁₆	—	53	4	no	—
309	SD₁₆	—	106	4	no	—
310	D₈	—	2	2	no	—
311	M₁₆	—	4	4	no	—
312	M₁₆	—	106	2	no	—
313	M₁₆	—	106	2	no	—
314	M₁₆	—	212	4	no	—
315	C₂×C₈	—	2	2	no	—
316	C₂×C₈	—	2	1	no	—
317	C₂×C₈	—	53	1	no	—
318	C₂×C₈	—	53	1	no	—
319	C₂×C₈	—	53	1	no	—
320	C₂×C₈	—	53	1	no	—
321	C₂×C₈	—	106	2	no	—
322	C₂×C₈	—	106	2	no	—
323	C₂×C₈	—	106	1	no	—
324	C₂×C₈	—	212	1	no	—
325	C₂×C₈	C₂×C₄×D₅₃	1	1	yes	characteristic
326	C₂×C₈	C₂×C₄×D₅₃	1	1	yes	characteristic
327	C₂×C₈	D₄×D₅₃	1	1	yes	characteristic
328	C₂×C₈	D₄×D₅₃	1	1	yes	characteristic
329	C₄⋊C₄	—	53	2	no	—
330	C₄⋊C₄	—	106	2	no	—
331	C₄⋊C₄	—	106	2	no	—
332	C₄⋊C₄	C₂×C₄×D₅₃	1	2	yes	—
333	C₂²⋊C₄	—	2	2	no	—
334	C₂²⋊C₄	—	106	2	no	—
335	C₂²⋊C₄	—	106	2	no	—
336	C₄²	—	53	1	no	—
337	C₄²	—	53	1	no	—
338	C₄²	—	53	1	no	—
339	C₄²	—	106	2	no	—
340	C₄²	—	106	2	no	—
341	C₄²	—	106	2	no	—
342	C₄²	C₂³×D₅₃	1	1	yes	characteristic
343	C₂³	—	2	2	no	—
344	C₂³	—	53	1	no	—
345	Q₈	—	53	4	no	—
346	Q₈	—	106	2	no	—
347	D₄	—	2	2	no	—
348	D₄	—	2	2	no	—
349	D₄	—	212	4	no	—
350	C₂×C₄	—	2	2	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	53	1	no	—
354	C₂×C₄	—	53	1	no	—
355	C₂×C₄	—	53	1	no	—
356	C₂×C₄	—	106	2	no	—
357	C₂×C₄	—	106	1	no	—
358	C₂×C₄	—	106	1	no	—
359	C₂×C₄	—	106	1	no	—
360	C₂×C₄	—	106	1	no	—
361	C₂×C₄	—	106	2	no	—
362	C₂×C₄	—	424	2	no	—
363	C₂×C₄	—	212	1	no	—
364	C₂×C₄	—	212	4	no	—
365	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
366	C₂×C₄	C₂×D₄×D₅₃	1	1	yes	characteristic
367	C₂×C₄	#41×D₅₃	1	1	yes	characteristic
368	C₈	—	2	1	no	—
369	C₈	—	2	1	no	—
370	C₈	—	4	1	no	—
371	C₈	—	4	2	no	—
372	C₈	—	53	2	no	—
373	C₈	—	106	1	no	—
374	C₈	—	106	1	no	—
375	C₈	—	106	1	no	—
376	C₈	—	212	1	no	—
377	C₈	—	212	2	no	—
378	C₈	M₁₆×D₅₃	1	2	yes	—
379	C₈	#13133236	1	2	yes	complemented
380	C₂²	—	4	2	no	—
381	C₂²	—	4	2	no	—
382	C₂²	—	4	2	no	—
383	C₂²	—	106	1	no	—
384	C₂²	—	106	1	no	—
385	C₂²	—	106	1	no	—
386	C₂²	C₄×D₄×D₅₃	1	1	yes	characteristic
387	C₄	—	2	1	no	—
388	C₄	—	4	2	no	—
389	C₄	—	106	1	no	—
390	C₄	—	106	4	no	—
391	C₄	—	106	1	no	—
392	C₄	—	106	1	no	—
393	C₄	—	212	2	no	—
394	C₄	C₂×M₁₆×D₅₃	1	1	yes	characteristic
395	C₄	#16811388	1	1	yes	characteristic
396	C₄	#135×D₅₃	1	1	yes	characteristic
397	C₄	C₂×#13133236	1	1	yes	characteristic
398	C₂	—	8	2	no	—
399	C₂	—	212	1	no	—
400	C₂	#20283451	1	1	yes	characteristic
401	C₂	C₄×#13133236	1	1	yes	characteristic
402	C₂	#20283627	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₅₃
commutator	C₂×C₄×C₅₃	C₂³×C₄
Frattini	C₄²	C₂³×D₅₃
Fitting	C₅₃×#1589	C₂
socle	C₂²×C₅₃	C₂×C₄×D₄
prime radical	C₂×#13133236	C₄
cosocle	C₄²×C₅₃	C₂⁴
hypercenter	#1589	D₅₃
hypocenter	C₅₃	#18039
LCS	G ▷ C₂×C₄×C₅₃ ▷ C₂×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄×C₈ ◁ #1589

Complements

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

N	H ≅ G/N	type
1. #20283731	C₂	semidirect
3. #20273600	C₂	semidirect
4. #20273561	C₂	semidirect
5. #20273556	C₂	semidirect
6. C₈×Dic₂₁₂	C₂	semidirect
7. #20273521	C₂	semidirect
8. #20273477	C₂	semidirect
9. #20273146	C₂	semidirect
10. C₈×#11719912	C₂	semidirect
11. C₅₃×#1589	C₂	semidirect
136. Dic₂₁₂	M₁₆	semidirect
171. C₈×C₅₃	#135	semidirect
177. #88322	#135	semidirect
200. #1589	D₅₃	semidirect
246. C₅₃	#18039	semidirect
379. C₈	#13133236	semidirect

Maximal subgroups

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

subgroup	index
#20283731	2
C₄×#13133236	2
#20273600	2
#20273561	2
#20273556	2
C₈×Dic₂₁₂	2
#20273521	2
#20273477	2
#20273146	2
C₈×#11719912	2
C₅₃×#1589	2
#18039	53