Subgroups — #27401687

Order 13568.

704 conjugacy classes of subgroups.

The subgroup lattice has 374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20283373	C₂	1	2	yes	maximal
2	#20275464	C₂	1	2	yes	maximal, complemented
3	#20275316	C₂	1	4	yes	maximal, complemented
4	#20274814	C₂	1	2	yes	maximal
5	#20274753	C₂	1	1	yes	maximal, characteristic
6	#20274596	C₂	1	2	yes	maximal, complemented
7	C₈×C₂²⋊Dic₅₃	C₂	1	1	yes	maximal, characteristic
8	C₂×C₅₃×#427	C₂	1	1	yes	maximal, characteristic
9	#16810684	—	2	4	no	—
10	#16810680	—	2	2	no	—
11	#16810676	—	2	2	no	—
12	C₂×#13133153	C₂²	1	2	yes	—
13	#16810650	C₂²	1	4	yes	—
14	#16810587	C₂²	1	2	yes	—
15	C₂×C₂²⋊#88322	C₂²	1	1	yes	characteristic
16	#16810579	C₂²	1	4	yes	—
17	C₂×C₈×Dic₅₃	C₂²	1	2	yes	—
18	C₄×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic
19	#16810388	C₂²	1	2	yes	—
20	#16810382	C₂²	1	4	yes	—
21	#16810382	C₂²	1	4	yes	—
22	#16810377	C₂²	1	2	yes	—
23	C₂³×C₈×C₅₃	C₂²	1	1	yes	characteristic
24	C₂×#117×C₅₃	C₂²	1	2	yes	—
25	C₅₃×#427	C₄	1	1	yes	characteristic, complemented
26	C₅₃×#427	C₄	1	1	yes	characteristic, complemented
27	C₅₃×#427	C₄	1	2	yes	complemented
28	C₅₃×#427	C₂²	1	1	yes	characteristic
29	C₅₃×#427	C₂²	1	2	yes	—
30	C₅₃×#427	C₂²	1	1	yes	characteristic
31	C₂×#107×C₅₃	C₄	1	1	yes	characteristic, complemented
32	C₂×#107×C₅₃	C₄	1	1	yes	characteristic, complemented
33	C₂×#106×C₅₃	C₄	1	2	yes	complemented
34	C₂×#11719917	C₂³	1	4	yes	—
35	C₂²×#88322	C₂³	1	2	yes	—
36	C₂×C₂²⋊Dic₅₃	—	2	1	no	—
37	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
38	#13133153	—	2	4	no	—
39	C₄⋊#88322	—	2	4	no	—
40	C₄⋊#88322	—	2	4	no	—
41	C₂²⋊#88322	—	2	2	no	—
42	C₂²⋊#88322	—	2	2	no	—
43	C₂²⋊#88322	D₄	1	1	yes	characteristic
44	C₂²⋊#88322	D₄	1	1	yes	characteristic
45	C₂²⋊#88322	D₄	1	2	yes	—
46	#13133128	—	2	4	no	—
47	C₄×#88322	—	2	4	no	—
48	C₈×Dic₅₃	—	2	4	no	—
49	#13133124	—	2	1	no	—
50	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
51	C₂²×C₈×C₅₃	—	2	4	no	—
52	C₂²×C₈×C₅₃	C₂×C₄	1	1	yes	characteristic
53	C₂²×C₈×C₅₃	C₂×C₄	1	1	yes	characteristic
54	C₂²×C₈×C₅₃	C₂×C₄	1	1	yes	characteristic
55	C₂²×C₈×C₅₃	C₂×C₄	1	1	yes	characteristic
56	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
57	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
58	#117×C₅₃	—	2	2	no	—
59	#117×C₅₃	—	2	2	no	—
60	#117×C₅₃	C₂×C₄	1	2	yes	—
61	#117×C₅₃	C₂×C₄	1	2	yes	—
62	#117×C₅₃	C₂³	1	2	yes	—
63	#117×C₅₃	C₂³	1	2	yes	—
64	C₂×C₄⋊C₄×C₅₃	C₂×C₄	1	2	yes	—
65	C₂×C₄⋊C₄×C₅₃	C₂×C₄	1	2	yes	—
66	C₂×C₂²⋊C₄×C₅₃	—	2	2	no	—
67	C₂×C₄²×C₅₃	—	2	2	no	—
68	#107×C₅₃	C₂×C₄	1	2	yes	—
69	#107×C₅₃	C₂×C₄	1	2	yes	—
70	#107×C₅₃	C₂×C₄	1	1	yes	characteristic
71	#107×C₅₃	C₂×C₄	1	1	yes	characteristic
72	#107×C₅₃	C₂×C₄	1	1	yes	characteristic
73	#107×C₅₃	C₂×C₄	1	1	yes	characteristic
74	#106×C₅₃	C₂×C₄	1	2	yes	—
75	#106×C₅₃	C₂×C₄	1	2	yes	—
76	#106×C₅₃	C₂×C₄	1	2	yes	—
77	#106×C₅₃	C₂×C₄	1	2	yes	—
78	C₂⁴×C₅₃	#41	1	1	yes	characteristic
79	C₂²×C₄×C₅₃	—	2	2	no	—
80	C₂²×C₄×C₅₃	—	2	2	no	—
81	C₂²×C₄×C₅₃	—	2	2	no	—
82	C₂²×C₄×C₅₃	—	2	2	no	—
83	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
84	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
85	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
86	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₅₃	#41	1	1	yes	characteristic
88	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
89	C₂²×Dic₅₃	—	2	2	no	—
90	C₂×C₈×C₅₃	—	2	2	no	—
91	C₂×C₈×C₅₃	—	2	2	no	—
92	C₂×C₈×C₅₃	—	2	2	no	—
93	C₂×C₈×C₅₃	—	2	2	no	—
94	C₂×C₈×C₅₃	—	2	2	no	—
95	C₂×C₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
96	C₂×C₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
97	C₂×C₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
98	C₂×C₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
99	C₂×C₈×C₅₃	#41	1	4	yes	—
100	C₄⋊C₄×C₅₃	—	2	2	no	—
101	C₄⋊C₄×C₅₃	—	2	2	no	—
102	C₄⋊C₄×C₅₃	C₂²×C₄	1	2	yes	—
103	C₄⋊C₄×C₅₃	C₂²×C₄	1	2	yes	—
104	C₄⋊C₄×C₅₃	C₂²×C₄	1	2	yes	—
105	C₄⋊C₄×C₅₃	C₂²×C₄	1	2	yes	—
106	C₂²⋊C₄×C₅₃	—	2	2	no	—
107	C₂²⋊C₄×C₅₃	—	2	2	no	—
108	C₂²⋊C₄×C₅₃	—	2	2	no	—
109	C₂²⋊C₄×C₅₃	—	2	2	no	—
110	C₄²×C₅₃	—	2	2	no	—
111	C₄²×C₅₃	—	2	2	no	—
112	C₄²×C₅₃	—	2	2	no	—
113	C₄²×C₅₃	—	2	2	no	—
114	C₂²⋊Dic₅₃	—	2	4	no	—
115	C₄×Dic₅₃	—	2	2	no	—
116	C₄×Dic₅₃	—	2	2	no	—
117	#11719917	—	2	4	no	—
118	#11719917	—	2	4	no	—
119	C₂×#88322	—	2	2	no	—
120	C₂×#88322	—	2	2	no	—
121	C₂×#88322	—	2	4	no	—
122	C₂×#88322	C₂×D₄	1	2	yes	—
123	C₂×#88322	C₂×D₄	1	2	yes	—
124	C₂³×C₅₃	—	2	2	no	—
125	C₂³×C₅₃	—	2	2	no	—
126	C₂³×C₅₃	—	4	1	no	—
127	C₂³×C₅₃	C₄×D₄	1	1	yes	characteristic
128	C₂³×C₅₃	C₄×D₄	1	1	yes	characteristic
129	C₂³×C₅₃	C₂×#41	1	1	yes	characteristic
130	C₂×C₄×C₅₃	—	2	2	no	—
131	C₂×C₄×C₅₃	—	2	1	no	—
132	C₂×C₄×C₅₃	—	2	1	no	—
133	C₂×C₄×C₅₃	—	2	1	no	—
134	C₂×C₄×C₅₃	—	2	1	no	—
135	C₂×C₄×C₅₃	—	2	2	no	—
136	C₂×C₄×C₅₃	—	2	2	no	—
137	C₂×C₄×C₅₃	—	2	2	no	—
138	C₂×C₄×C₅₃	—	2	2	no	—
139	C₂×C₄×C₅₃	—	2	2	no	—
140	C₂×C₄×C₅₃	—	2	2	no	—
141	C₂×C₄×C₅₃	—	4	4	no	—
142	C₂×C₄×C₅₃	—	8	2	no	—
143	C₂×C₄×C₅₃	C₄×D₄	1	1	yes	characteristic
144	C₂×C₄×C₅₃	C₄×D₄	1	1	yes	characteristic
145	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
146	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
147	C₂×C₄×C₅₃	C₂×#41	1	2	yes	—
148	C₂×C₄×C₅₃	2₋¹⁺⁴	1	2	yes	—
149	C₂×Dic₅₃	—	2	4	no	—
150	C₂×Dic₅₃	—	4	2	no	—
151	C₂×Dic₅₃	—	4	2	no	—
152	C₈×C₅₃	—	2	1	no	—
153	C₈×C₅₃	—	2	1	no	—
154	C₈×C₅₃	#117	1	2	yes	—
155	C₈×C₅₃	#117	1	2	yes	—
156	#88322	—	2	2	no	—
157	#88322	—	2	2	no	—
158	#88322	—	4	4	no	—
159	#22606	—	53	1	no	maximal, Sylow
160	C₂²×C₅₃	—	2	1	no	—
161	C₂²×C₅₃	—	2	1	no	—
162	C₂²×C₅₃	—	2	1	no	—
163	C₂²×C₅₃	—	2	1	no	—
164	C₂²×C₅₃	—	2	1	no	—
165	C₂²×C₅₃	—	2	1	no	—
166	C₂²×C₅₃	—	2	1	no	—
167	C₂²×C₅₃	—	4	4	no	—
168	C₂²×C₅₃	#443	1	2	yes	—
169	C₂²×C₅₃	C₂×C₄×D₄	1	1	yes	characteristic
170	C₂²×C₅₃	#552	1	2	yes	—
171	C₄×C₅₃	—	2	1	no	—
172	C₄×C₅₃	—	2	1	no	—
173	C₄×C₅₃	—	4	2	no	—
174	C₄×C₅₃	—	4	2	no	—
175	C₄×C₅₃	—	4	2	no	—
176	C₄×C₅₃	—	4	2	no	—
177	C₄×C₅₃	C₂×#117	1	1	yes	characteristic
178	C₄×C₅₃	#519	1	1	yes	characteristic
179	C₄×C₅₃	#547	1	2	yes	—
180	Dic₅₃	—	4	4	no	—
181	#2924	—	53	2	no	—
182	C₂×#427	D₅₃	1	1	yes	characteristic
183	#1945	—	53	2	no	—
184	#1922	—	53	4	no	—
185	#1826	—	53	2	no	—
186	#1810	—	53	1	no	—
187	#1772	—	53	2	no	—
188	C₈×C₂²⋊C₄	—	53	1	no	—
189	C₂×C₅₃	—	2	2	no	—
190	C₂×C₅₃	—	2	2	no	—
191	C₂×C₅₃	—	4	1	no	—
192	C₂×C₅₃	#2344	1	1	yes	characteristic
193	C₂×C₅₃	C₂×#443	1	1	yes	characteristic
194	C₂×C₅₃	#2957	1	1	yes	characteristic
195	C₂³×C₈	C₂×D₅₃	1	1	yes	characteristic
196	C₂×#117	C₂×D₅₃	1	2	yes	—
197	#433	—	106	4	no	—
198	#432	—	106	2	no	—
199	#431	—	106	2	no	—
200	C₂×#108	—	53	2	no	—
201	#427	Dic₅₃	1	1	yes	characteristic, complemented
202	#427	Dic₅₃	1	1	yes	characteristic, complemented
203	#427	Dic₅₃	1	2	yes	complemented
204	#427	C₂×D₅₃	1	2	yes	—
205	#427	C₂×D₅₃	1	1	yes	characteristic
206	#427	C₂×D₅₃	1	1	yes	characteristic
207	C₂×#107	Dic₅₃	1	1	yes	characteristic, complemented
208	C₂×#107	Dic₅₃	1	1	yes	characteristic, complemented
209	C₂×#106	Dic₅₃	1	2	yes	complemented
210	#424	—	53	4	no	—
211	#407	—	53	2	no	—
212	C₂×C₂²⋊C₈	—	53	1	no	—
213	#405	—	53	4	no	—
214	C₂×C₄×C₈	—	53	2	no	—
215	C₄×C₂²⋊C₄	—	53	1	no	—
216	#341	—	53	2	no	—
217	#339	—	53	4	no	—
218	#339	—	53	4	no	—
219	#336	—	53	2	no	—
220	C₅₃	#22606	1	1	yes	characteristic, complemented, Sylow
221	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
222	C₂×M₁₆	—	53	4	no	—
223	C₂²×C₈	—	2	4	no	—
224	C₂²×C₈	—	53	2	no	—
225	C₂²×C₈	C₂×Dic₅₃	1	1	yes	characteristic
226	C₂²×C₈	C₂×Dic₅₃	1	1	yes	characteristic
227	C₂²×C₈	C₂×Dic₅₃	1	1	yes	characteristic
228	C₂²×C₈	C₂×Dic₅₃	1	1	yes	characteristic
229	C₂²×C₈	C₂²×D₅₃	1	1	yes	characteristic
230	C₂²×C₈	C₂²×D₅₃	1	1	yes	characteristic
231	#117	—	2	2	no	—
232	#117	—	2	2	no	—
233	#117	C₂×Dic₅₃	1	2	yes	—
234	#117	C₂×Dic₅₃	1	2	yes	—
235	#117	C₂²×D₅₃	1	2	yes	—
236	#117	C₂²×D₅₃	1	2	yes	—
237	C₂×C₄⋊C₄	C₂×Dic₅₃	1	2	yes	—
238	C₂×C₄⋊C₄	C₂×Dic₅₃	1	2	yes	—
239	C₂×C₂²⋊C₄	—	2	2	no	—
240	C₂×C₂²⋊C₄	—	106	1	no	—
241	C₂×C₄²	—	2	2	no	—
242	C₂×C₄²	—	53	2	no	—
243	#108	—	106	4	no	—
244	#107	C₂×Dic₅₃	1	2	yes	—
245	#107	C₂×Dic₅₃	1	2	yes	—
246	#107	C₂×Dic₅₃	1	1	yes	characteristic
247	#107	C₂×Dic₅₃	1	1	yes	characteristic
248	#107	C₂×Dic₅₃	1	1	yes	characteristic
249	#107	C₂×Dic₅₃	1	1	yes	characteristic
250	#106	C₂×Dic₅₃	1	2	yes	—
251	#106	C₂×Dic₅₃	1	2	yes	—
252	#106	C₂×Dic₅₃	1	2	yes	—
253	#106	C₂×Dic₅₃	1	2	yes	—
254	C₄⋊C₈	—	106	4	no	—
255	C₄⋊C₈	—	106	4	no	—
256	C₂²⋊C₈	—	53	1	no	—
257	C₂²⋊C₈	—	53	1	no	—
258	C₂²⋊C₈	—	53	2	no	—
259	C₂²⋊C₈	—	106	2	no	—
260	C₂²⋊C₈	—	106	2	no	—
261	#97	—	106	4	no	—
262	C₄×C₈	—	106	4	no	—
263	C₄×C₈	—	106	4	no	—
264	#95	—	106	1	no	—
265	C₂⁴	#11719947	1	1	yes	characteristic
266	C₂²×C₄	—	2	2	no	—
267	C₂²×C₄	—	2	2	no	—
268	C₂²×C₄	—	2	2	no	—
269	C₂²×C₄	—	2	2	no	—
270	C₂²×C₄	—	106	2	no	—
271	C₂²×C₄	D₄×D₅₃	1	1	yes	characteristic
272	C₂²×C₄	D₄×D₅₃	1	1	yes	characteristic
273	C₂²×C₄	#11719947	1	1	yes	characteristic
274	C₂²×C₄	C₂²×Dic₅₃	1	1	yes	characteristic
275	C₂²×C₄	C₂²×Dic₅₃	1	1	yes	characteristic
276	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
277	M₁₆	—	106	4	no	—
278	M₁₆	—	106	4	no	—
279	C₂×C₈	—	2	2	no	—
280	C₂×C₈	—	2	2	no	—
281	C₂×C₈	—	2	2	no	—
282	C₂×C₈	—	2	2	no	—
283	C₂×C₈	—	2	2	no	—
284	C₂×C₈	—	53	2	no	—
285	C₂×C₈	—	53	2	no	—
286	C₂×C₈	—	106	2	no	—
287	C₂×C₈	—	106	2	no	—
288	C₂×C₈	—	106	4	no	—
289	C₂×C₈	#11719945	1	4	yes	—
290	C₂×C₈	C₂²×Dic₅₃	1	1	yes	characteristic
291	C₂×C₈	C₂²×Dic₅₃	1	1	yes	characteristic
292	C₂×C₈	C₂²×Dic₅₃	1	1	yes	characteristic
293	C₂×C₈	C₂²×Dic₅₃	1	1	yes	characteristic
294	C₄⋊C₄	—	2	2	no	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	C₂²×Dic₅₃	1	2	yes	—
297	C₄⋊C₄	C₂²×Dic₅₃	1	2	yes	—
298	C₄⋊C₄	C₂²×Dic₅₃	1	2	yes	—
299	C₄⋊C₄	C₂²×Dic₅₃	1	2	yes	—
300	C₂²⋊C₄	—	2	2	no	—
301	C₂²⋊C₄	—	2	2	no	—
302	C₂²⋊C₄	—	2	2	no	—
303	C₂²⋊C₄	—	2	2	no	—
304	C₂²⋊C₄	—	106	4	no	—
305	C₄²	—	2	2	no	—
306	C₄²	—	2	2	no	—
307	C₄²	—	2	2	no	—
308	C₄²	—	2	2	no	—
309	C₄²	—	106	2	no	—
310	C₄²	—	106	2	no	—
311	C₂³	—	2	2	no	—
312	C₂³	—	2	2	no	—
313	C₂³	—	4	1	no	—
314	C₂³	D₄×Dic₅₃	1	1	yes	characteristic
315	C₂³	D₄×Dic₅₃	1	1	yes	characteristic
316	C₂³	C₂×#11719947	1	1	yes	characteristic
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	4	4	no	—
329	C₂×C₄	—	8	2	no	—
330	C₂×C₄	—	106	4	no	—
331	C₂×C₄	—	212	2	no	—
332	C₂×C₄	—	212	2	no	—
333	C₂×C₄	D₄×Dic₅₃	1	1	yes	characteristic
334	C₂×C₄	D₄×Dic₅₃	1	1	yes	characteristic
335	C₂×C₄	C₂³×Dic₅₃	1	1	yes	characteristic
336	C₂×C₄	C₂×D₄×D₅₃	1	1	yes	characteristic
337	C₂×C₄	C₂×#11719945	1	2	yes	—
338	C₂×C₄	#13133265	1	2	yes	—
339	C₈	—	2	1	no	—
340	C₈	—	2	1	no	—
341	C₈	—	106	2	no	—
342	C₈	—	106	2	no	—
343	C₈	—	212	4	no	—
344	C₈	#13133176	1	2	yes	—
345	C₈	#13133176	1	2	yes	—
346	C₂²	—	2	1	no	—
347	C₂²	—	2	1	no	—
348	C₂²	—	2	1	no	—
349	C₂²	—	2	1	no	—
350	C₂²	—	2	1	no	—
351	C₂²	—	2	1	no	—
352	C₂²	—	2	1	no	—
353	C₂²	—	4	4	no	—
354	C₂²	#16810740	1	2	yes	—
355	C₂²	C₂×D₄×Dic₅₃	1	1	yes	characteristic
356	C₂²	#16811308	1	2	yes	—
357	C₄	—	2	1	no	—
358	C₄	—	2	1	no	—
359	C₄	—	4	2	no	—
360	C₄	—	4	2	no	—
361	C₄	—	4	2	no	—
362	C₄	—	4	2	no	—
363	C₄	—	212	4	no	—
364	C₄	C₂×#13133176	1	1	yes	characteristic
365	C₄	#16811101	1	1	yes	characteristic
366	C₄	#16811274	1	2	yes	—
367	C₂	—	2	2	no	—
368	C₂	—	2	2	no	—
369	C₂	—	4	1	no	—
370	C₂	#20277584	1	1	yes	characteristic
371	C₂	C₂×#16810740	1	1	yes	characteristic
372	C₂	#20283632	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₅₃
commutator	C₂×C₄×C₅₃	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₅₃
Fitting	C₂×C₅₃×#427	C₂
socle	C₂²×C₅₃	C₂×C₄×D₄
prime radical	C₂⁴×C₅₃	#41
cosocle	C₂²×C₄×C₅₃	C₂⁴
hypercenter	C₂×#427	D₅₃
hypocenter	C₅₃	#22606
LCS	G ▷ C₂×C₄×C₅₃ ▷ C₂×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂³×C₄ ◁ C₂×#427

Complements

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

N	H ≅ G/N	type
2. #20275464	C₂	semidirect
3. #20275316	C₂	semidirect
6. #20274596	C₂	semidirect
25. C₅₃×#427	C₄	semidirect
26. C₅₃×#427	C₄	semidirect
27. C₅₃×#427	C₄	semidirect
31. C₂×#107×C₅₃	C₄	semidirect
32. C₂×#107×C₅₃	C₄	semidirect
33. C₂×#106×C₅₃	C₄	semidirect
201. #427	Dic₅₃	semidirect
202. #427	Dic₅₃	semidirect
203. #427	Dic₅₃	semidirect
207. C₂×#107	Dic₅₃	semidirect
208. C₂×#107	Dic₅₃	semidirect
209. C₂×#106	Dic₅₃	semidirect
220. C₅₃	#22606	semidirect

Maximal subgroups

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

subgroup	index
#20283373	2
#20275464	2
#20275316	2
#20274814	2
#20274753	2
#20274596	2
C₈×C₂²⋊Dic₅₃	2
C₂×C₅₃×#427	2
#22606	53