Subgroups — #27366330

Order 13568.

802 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	#20284711	C₂	1	2	yes	maximal, complemented
2	C₂×C₈×D₂₁₂	C₂	1	1	yes	maximal, characteristic, complemented
3	#20274077	C₂	1	2	yes	maximal, complemented
4	#20274067	C₂	1	2	yes	maximal, complemented
5	#20274053	C₂	1	4	yes	maximal, complemented
6	#20273463	C₂	1	1	yes	maximal, characteristic, complemented
7	#20273364	C₂	1	2	yes	maximal, complemented
8	C₅₃×#3147	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×C₈×D₅₃	—	2	1	no	—
10	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic
11	#16810934	—	2	2	no	—
12	#16810900	C₂²	1	4	yes	—
13	#16810815	C₂²	1	4	yes	—
14	#16810756	—	2	2	no	—
15	C₄×#11719922	—	2	4	no	—
16	C₈×D₂₁₂	—	2	1	no	—
17	C₈×D₂₁₂	—	2	1	no	—
18	C₈×D₂₁₂	C₂²	1	2	yes	—
19	C₈×D₂₁₂	C₂²	1	2	yes	—
20	#16810676	C₂²	1	2	yes	—
21	C₂×C₄⋊#88322	C₂²	1	1	yes	characteristic
22	C₂×#13133129	—	2	1	no	—
23	#16810376	C₂²	1	2	yes	complemented
24	#16810374	C₂²	1	2	yes	complemented
25	#16810369	C₂²	1	4	yes	complemented
26	#16810367	C₂²	1	4	yes	complemented
27	C₂×#135×C₅₃	—	2	1	no	—
28	C₂×#135×C₅₃	—	2	1	no	—
29	C₅₃×#532	C₂²	1	2	yes	—
30	C₅₃×#495	—	2	1	no	—
31	C₅₃×#495	—	2	1	no	—
32	C₅₃×#494	C₂²	1	1	yes	characteristic, complemented
33	C₅₃×#493	C₂²	1	1	yes	characteristic, complemented
34	C₅₃×#492	C₂²	1	2	yes	complemented
35	C₂×C₄×C₈×C₅₃	C₂²	1	1	yes	characteristic
36	C₂²×D₂₁₂	D₄	1	1	yes	characteristic
37	C₂²×C₄×D₅₃	—	2	1	no	—
38	C₂×#11719922	—	2	4	no	—
39	C₂²×#88322	—	2	1	no	—
40	C₂×C₈×D₅₃	—	2	2	no	—
41	C₂×C₈×D₅₃	—	2	2	no	—
42	C₂×C₈×D₅₃	—	4	4	no	—
43	C₄×D₂₁₂	—	2	1	no	—
44	C₄×D₂₁₂	—	2	1	no	—
45	C₄×D₂₁₂	D₄	1	2	yes	—
46	C₄×D₂₁₂	C₂³	1	2	yes	—
47	C₂×C₄⋊Dic₅₃	D₄	1	1	yes	characteristic
48	C₂×#11719921	—	2	1	no	—
49	#13133150	—	2	4	no	—
50	C₄⋊#88322	—	2	1	no	—
51	C₄⋊#88322	C₂³	1	4	yes	—
52	C₄⋊#88322	C₂³	1	2	yes	—
53	#13133138	—	2	4	no	—
54	#13133137	—	2	4	no	—
55	C₂²⋊#88322	—	2	2	no	—
56	#13133129	—	2	2	no	—
57	#13133129	—	2	2	no	—
58	C₄×#88322	—	2	2	no	—
59	C₂×#41×C₅₃	—	2	2	no	—
60	#135×C₅₃	—	4	4	no	—
61	#135×C₅₃	—	4	4	no	—
62	C₂×Q₁₆×C₅₃	—	2	1	no	—
63	C₂×Q₁₆×C₅₃	—	2	1	no	—
64	C₂×SD₁₆×C₅₃	—	2	2	no	—
65	C₂×SD₁₆×C₅₃	—	2	2	no	—
66	C₂×D₈×C₅₃	—	2	1	no	—
67	C₂×D₈×C₅₃	—	2	1	no	—
68	C₂²×C₈×C₅₃	D₄	1	1	yes	characteristic
69	C₂²×C₈×C₅₃	D₄	1	1	yes	characteristic
70	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
71	#127×C₅₃	C₂³	1	2	yes	—
72	#124×C₅₃	—	2	2	no	—
73	#121×C₅₃	—	2	2	no	—
74	#121×C₅₃	—	2	2	no	—
75	C₄×D₄×C₅₃	—	2	2	no	—
76	C₄×D₄×C₅₃	—	2	2	no	—
77	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
78	C₄×C₈×C₅₃	D₄	1	1	yes	characteristic
79	C₄×C₈×C₅₃	D₄	1	1	yes	characteristic
80	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
81	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
82	C₂³×D₅₃	—	2	1	no	—
83	#41×C₅₃	—	4	4	no	—
84	#41×C₅₃	—	4	4	no	—
85	C₂×Q₈×C₅₃	—	2	2	no	—
86	C₂×D₄×C₅₃	—	2	2	no	—
87	C₂×D₄×C₅₃	—	2	2	no	—
88	C₂×D₄×C₅₃	—	2	2	no	—
89	C₂×D₄×C₅₃	—	4	2	no	—
90	C₂²×C₄×C₅₃	—	4	2	no	—
91	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₅₃	#41	1	1	yes	characteristic
94	C₂²×Dic₅₃	—	2	1	no	—
95	C₂×D₂₁₂	—	2	1	no	—
96	C₂×D₂₁₂	—	2	4	no	—
97	C₂×D₂₁₂	C₂×D₄	1	2	yes	—
98	C₂×C₄×D₅₃	—	2	2	no	—
99	C₂×C₄×D₅₃	—	2	2	no	—
100	C₂×C₄×D₅₃	—	4	2	no	—
101	C₂×C₄×D₅₃	—	4	2	no	—
102	Q₁₆×C₅₃	—	4	2	no	—
103	Q₁₆×C₅₃	—	4	2	no	—
104	SD₁₆×C₅₃	—	4	4	no	—
105	SD₁₆×C₅₃	—	4	4	no	—
106	D₈×C₅₃	—	4	2	no	—
107	D₈×C₅₃	—	4	2	no	—
108	C₂×C₈×C₅₃	—	2	2	no	—
109	C₂×C₈×C₅₃	D₈	1	4	yes	complemented
110	C₂×C₈×C₅₃	C₂×D₄	1	1	yes	characteristic
111	C₂×C₈×C₅₃	C₂×D₄	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	—	2	2	no	—
115	C₄⋊C₄×C₅₃	—	2	2	no	—
116	C₂²⋊C₄×C₅₃	—	4	2	no	—
117	C₂²⋊C₄×C₅₃	—	4	2	no	—
118	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
119	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
120	C₄²×C₅₃	#41	1	1	yes	characteristic
121	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
122	#11719922	—	4	8	no	—
123	#11719921	—	2	2	no	—
124	#11719921	—	2	2	no	—
125	C₄⋊Dic₅₃	—	2	1	no	—
126	C₄⋊Dic₅₃	C₂×D₄	1	2	yes	—
127	C₂×#88322	—	2	4	no	—
128	C₂×#88322	—	2	2	no	—
129	C₂×#88322	—	4	2	no	—
130	C₈×D₅₃	—	4	4	no	—
131	C₈×D₅₃	—	4	4	no	—
132	C₂³×C₅₃	—	4	2	no	—
133	C₂³×C₅₃	#121	1	1	yes	characteristic
134	C₂²×D₅₃	—	2	4	no	—
135	C₂²×D₅₃	—	2	2	no	—
136	C₂²×D₅₃	—	4	2	no	—
137	C₂²×D₅₃	—	4	2	no	—
138	Q₈×C₅₃	—	4	2	no	—
139	Q₈×C₅₃	—	4	2	no	—
140	D₄×C₅₃	—	4	2	no	—
141	D₄×C₅₃	—	4	4	no	—
142	D₄×C₅₃	—	4	2	no	—
143	D₄×C₅₃	—	8	2	no	—
144	D₄×C₅₃	—	8	4	no	—
145	C₂×C₄×C₅₃	—	2	2	no	—
146	C₂×C₄×C₅₃	—	4	1	no	—
147	C₂×C₄×C₅₃	—	4	2	no	—
148	C₂×C₄×C₅₃	—	8	4	no	—
149	C₂×C₄×C₅₃	#121	1	1	yes	characteristic
150	C₂×C₄×C₅₃	#121	1	1	yes	characteristic
151	C₂×C₄×C₅₃	#121	1	1	yes	characteristic
152	C₂×C₄×C₅₃	C₂×D₈	1	2	yes	—
153	C₂×C₄×C₅₃	AGL(1,ℤ/8)	1	2	yes	—
154	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
155	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
156	C₂×C₄×C₅₃	C₂×#41	1	1	yes	characteristic
157	C₂×Dic₅₃	—	2	2	no	—
158	C₂×Dic₅₃	—	4	2	no	—
159	D₂₁₂	—	2	4	no	—
160	D₂₁₂	—	2	2	no	—
161	D₂₁₂	#135	1	4	yes	complemented
162	C₄×D₅₃	—	4	2	no	—
163	C₄×D₅₃	—	4	2	no	—
164	C₄×D₅₃	—	4	4	no	—
165	C₈×C₅₃	—	2	1	no	—
166	C₈×C₅₃	—	2	1	no	—
167	C₈×C₅₃	C₂×D₈	1	2	yes	—
168	C₈×C₅₃	C₂×D₈	1	2	yes	—
169	#88322	—	4	2	no	—
170	#88322	—	4	4	no	—
171	#19101	—	53	1	no	maximal, Sylow
172	C₂²×C₅₃	—	2	1	no	—
173	C₂²×C₅₃	—	2	1	no	—
174	C₂²×C₅₃	—	8	2	no	—
175	C₂²×C₅₃	—	8	2	no	—
176	C₂²×C₅₃	—	8	2	no	—
177	C₂²×C₅₃	#459	1	2	yes	—
178	C₂²×C₅₃	C₂×#121	1	1	yes	characteristic
179	C₂×D₅₃	—	2	4	no	—
180	C₂×D₅₃	—	4	8	no	—
181	C₂×D₅₃	—	4	2	no	—
182	C₂×D₅₃	—	4	2	no	—
183	C₄×C₅₃	—	2	1	no	—
184	C₄×C₅₃	—	2	1	no	—
185	C₄×C₅₃	—	2	1	no	—
186	C₄×C₅₃	—	8	2	no	—
187	C₄×C₅₃	#459	1	2	yes	—
188	C₄×C₅₃	C₂²×D₈	1	1	yes	characteristic
189	C₄×C₅₃	C₂×#135	1	2	yes	—
190	C₄×C₅₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
191	Dic₅₃	—	4	2	no	—
192	#3147	D₅₃	1	1	yes	characteristic, complemented
193	#3100	—	53	2	no	—
194	C₂×C₈×D₄	—	53	1	no	—
195	#1669	—	53	2	no	—
196	#1667	—	53	2	no	—
197	#1665	—	53	4	no	—
198	#1564	—	53	1	no	—
199	#1540	—	53	2	no	—
200	C₂×C₅₃	—	2	2	no	—
201	C₂×C₅₃	—	16	2	no	—
202	C₂×C₅₃	C₂×#459	1	1	yes	characteristic
203	C₂×C₅₃	#3050	1	1	yes	characteristic
204	C₂×C₅₃	#3067	1	1	yes	characteristic
205	D₅₃	—	4	4	no	—
206	C₂×#135	—	2	1	no	—
207	C₂×#135	—	2	1	no	—
208	C₂³×C₈	—	106	1	no	—
209	#532	C₂×D₅₃	1	2	yes	—
210	C₂×C₄×D₄	—	53	1	no	—
211	#495	—	2	1	no	—
212	#495	—	2	1	no	—
213	#494	C₂×D₅₃	1	1	yes	characteristic, complemented
214	#493	C₂×D₅₃	1	1	yes	characteristic, complemented
215	#492	C₂×D₅₃	1	2	yes	complemented
216	#480	—	106	2	no	—
217	#474	—	53	4	no	—
218	#459	—	53	4	no	—
219	#447	—	106	2	no	—
220	C₄×D₈	—	106	4	no	—
221	C₈×D₄	—	53	2	no	—
222	C₈×D₄	—	53	2	no	—
223	C₈×D₄	—	106	1	no	—
224	C₈×D₄	—	106	1	no	—
225	#431	—	53	2	no	—
226	C₂×C₄⋊C₈	—	53	1	no	—
227	C₂×C₂²⋊C₈	—	106	1	no	—
228	C₂×C₄×C₈	C₂×D₅₃	1	1	yes	characteristic
229	#335	—	53	2	no	—
230	#334	—	53	2	no	—
231	#332	—	53	4	no	—
232	#331	—	53	4	no	—
233	C₅₃	#19101	1	1	yes	characteristic, complemented, Sylow
234	C₂×#41	—	2	2	no	—
235	C₂²×D₄	—	53	1	no	—
236	C₂³×C₄	—	106	1	no	—
237	#135	—	4	4	no	—
238	#135	—	4	4	no	—
239	C₂×Q₁₆	—	2	1	no	—
240	C₂×Q₁₆	—	2	1	no	—
241	C₂×SD₁₆	—	2	2	no	—
242	C₂×SD₁₆	—	2	2	no	—
243	C₂×D₈	—	2	1	no	—
244	C₂×D₈	—	2	1	no	—
245	C₂×D₈	—	106	4	no	—
246	C₂²×C₈	—	106	1	no	—
247	C₂²×C₈	—	106	2	no	—
248	C₂²×C₈	—	106	2	no	—
249	C₂²×C₈	—	212	4	no	—
250	C₂²×C₈	C₂²⋊D₅₃	1	1	yes	characteristic
251	C₂²×C₈	C₂²⋊D₅₃	1	1	yes	characteristic
252	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	—
253	#127	C₂²×D₅₃	1	2	yes	—
254	#124	—	2	2	no	—
255	#121	—	2	2	no	—
256	#121	—	2	2	no	—
257	C₄×D₄	—	2	2	no	—
258	C₄×D₄	—	2	2	no	—
259	C₄×D₄	—	53	2	no	—
260	C₄×D₄	—	53	2	no	—
261	C₄×D₄	—	106	1	no	—
262	C₄×D₄	—	106	1	no	—
263	C₂×C₄⋊C₄	—	53	1	no	—
264	C₂×C₂²⋊C₄	—	106	1	no	—
265	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
266	#107	—	106	4	no	—
267	C₄⋊C₈	—	53	2	no	—
268	C₄⋊C₈	—	53	4	no	—
269	C₄⋊C₈	—	106	1	no	—
270	#102	—	106	4	no	—
271	#102	—	106	4	no	—
272	C₂²⋊C₈	—	106	2	no	—
273	C₂²⋊C₈	—	106	2	no	—
274	C₂²⋊C₈	—	106	2	no	—
275	C₄×C₈	—	106	2	no	—
276	C₄×C₈	C₂²⋊D₅₃	1	1	yes	characteristic
277	C₄×C₈	C₂²⋊D₅₃	1	1	yes	characteristic
278	C₄×C₈	C₂²×D₅₃	1	1	yes	characteristic
279	C₄×C₈	C₂²×D₅₃	1	1	yes	characteristic
280	C₂⁴	—	106	1	no	—
281	#41	—	4	4	no	—
282	#41	—	4	4	no	—
283	C₂×Q₈	—	2	2	no	—
284	C₂×D₄	—	2	2	no	—
285	C₂×D₄	—	2	2	no	—
286	C₂×D₄	—	2	2	no	—
287	C₂×D₄	—	4	2	no	—
288	C₂×D₄	—	53	2	no	—
289	C₂×D₄	—	106	4	no	—
290	C₂×D₄	—	106	1	no	—
291	C₂²×C₄	—	4	2	no	—
292	C₂²×C₄	—	106	1	no	—
293	C₂²×C₄	—	106	2	no	—
294	C₂²×C₄	—	106	2	no	—
295	C₂²×C₄	—	212	2	no	—
296	C₂²×C₄	—	212	2	no	—
297	C₂²×C₄	D₄×D₅₃	1	1	yes	characteristic
298	C₂²×C₄	#11719947	1	1	yes	characteristic
299	C₂²×C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
300	Q₁₆	—	4	2	no	—
301	Q₁₆	—	4	2	no	—
302	SD₁₆	—	4	4	no	—
303	SD₁₆	—	4	4	no	—
304	D₈	—	4	2	no	—
305	D₈	—	4	2	no	—
306	D₈	—	212	8	no	—
307	C₂×C₈	—	2	2	no	—
308	C₂×C₈	—	106	4	no	—
309	C₂×C₈	—	106	2	no	—
310	C₂×C₈	—	212	2	no	—
311	C₂×C₈	—	212	4	no	—
312	C₂×C₈	—	212	4	no	—
313	C₂×C₈	#11719922	1	4	yes	complemented
314	C₂×C₈	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
315	C₂×C₈	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
316	C₂×C₈	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
317	C₂×C₈	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
318	C₄⋊C₄	—	2	2	no	—
319	C₄⋊C₄	—	2	2	no	—
320	C₄⋊C₄	—	53	2	no	—
321	C₄⋊C₄	—	106	1	no	—
322	C₂²⋊C₄	—	4	2	no	—
323	C₂²⋊C₄	—	4	2	no	—
324	C₂²⋊C₄	—	106	2	no	—
325	C₂²⋊C₄	—	106	2	no	—
326	C₄²	D₄×D₅₃	1	1	yes	characteristic
327	C₄²	#11719947	1	1	yes	characteristic
328	C₄²	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
329	C₄²	C₂³×D₅₃	1	1	yes	characteristic
330	C₂³	—	4	2	no	—
331	C₂³	—	106	4	no	—
332	C₂³	—	106	2	no	—
333	C₂³	—	212	2	no	—
334	C₂³	—	212	2	no	—
335	C₂³	#13133188	1	1	yes	characteristic
336	Q₈	—	4	2	no	—
337	Q₈	—	4	2	no	—
338	D₄	—	4	2	no	—
339	D₄	—	4	4	no	—
340	D₄	—	4	2	no	—
341	D₄	—	8	2	no	—
342	D₄	—	8	4	no	—
343	D₄	—	53	4	no	—
344	D₄	—	106	4	no	—
345	D₄	—	106	2	no	—
346	C₂×C₄	—	2	2	no	—
347	C₂×C₄	—	4	1	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	—	8	4	no	—
350	C₂×C₄	—	106	2	no	—
351	C₂×C₄	—	212	2	no	—
352	C₂×C₄	—	212	4	no	—
353	C₂×C₄	—	212	2	no	—
354	C₂×C₄	—	212	2	no	—
355	C₂×C₄	#13133188	1	1	yes	characteristic
356	C₂×C₄	#13133188	1	1	yes	characteristic
357	C₂×C₄	#13133188	1	1	yes	characteristic
358	C₂×C₄	C₂×#11719922	1	2	yes	—
359	C₂×C₄	#13133243	1	2	yes	—
360	C₂×C₄	C₂×D₄×D₅₃	1	1	yes	characteristic
361	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
362	C₂×C₄	C₂×#11719947	1	1	yes	characteristic
363	C₈	—	2	1	no	—
364	C₈	—	2	1	no	—
365	C₈	—	212	2	no	—
366	C₈	—	212	4	no	—
367	C₈	C₂×#11719922	1	2	yes	—
368	C₈	C₂×#11719922	1	2	yes	—
369	C₂²	—	2	1	no	—
370	C₂²	—	2	1	no	—
371	C₂²	—	8	2	no	—
372	C₂²	—	8	2	no	—
373	C₂²	—	8	2	no	—
374	C₂²	—	106	4	no	—
375	C₂²	—	212	8	no	—
376	C₂²	—	212	2	no	—
377	C₂²	—	212	2	no	—
378	C₂²	#16810815	1	2	yes	—
379	C₂²	C₂×#13133188	1	1	yes	characteristic
380	C₄	—	2	1	no	—
381	C₄	—	2	1	no	—
382	C₄	—	2	1	no	—
383	C₄	—	8	2	no	—
384	C₄	—	212	2	no	—
385	C₄	#16810815	1	2	yes	—
386	C₄	C₂²×#11719922	1	1	yes	characteristic
387	C₄	#135×D₅₃	1	2	yes	—
388	C₄	C₂×#13133243	1	1	yes	characteristic
389	C₂	—	2	2	no	—
390	C₂	—	16	2	no	—
391	C₂	—	212	4	no	—
392	C₂	C₂×#16810815	1	1	yes	characteristic
393	C₂	#20284292	1	1	yes	characteristic
394	C₂	#20284431	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	#13133188
commutator, cosocle	C₄²×C₅₃	C₂⁴
Frattini	C₄²	C₂³×D₅₃
Fitting	C₅₃×#3147	C₂
socle	C₂²×C₅₃	C₂×#121
hypercenter	#3147	D₅₃
hypocenter	C₅₃	#19101
LCS	G ▷ C₄²×C₅₃ ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3147

Complements

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

N	H ≅ G/N	type
1. #20284711	C₂	semidirect
2. C₂×C₈×D₂₁₂	C₂	semidirect
3. #20274077	C₂	semidirect
4. #20274067	C₂	semidirect
5. #20274053	C₂	semidirect
6. #20273463	C₂	semidirect
7. #20273364	C₂	semidirect
8. C₅₃×#3147	C₂	semidirect
23. #16810376	C₂²	semidirect
24. #16810374	C₂²	semidirect
25. #16810369	C₂²	semidirect
26. #16810367	C₂²	semidirect
32. C₅₃×#494	C₂²	semidirect
33. C₅₃×#493	C₂²	semidirect
34. C₅₃×#492	C₂²	semidirect
109. C₂×C₈×C₅₃	D₈	semidirect
161. D₂₁₂	#135	semidirect
192. #3147	D₅₃	semidirect
213. #494	C₂×D₅₃	semidirect
214. #493	C₂×D₅₃	semidirect
215. #492	C₂×D₅₃	semidirect
233. C₅₃	#19101	semidirect
313. C₂×C₈	#11719922	semidirect

Maximal subgroups

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

subgroup	index
#20284711	2
C₂×C₈×D₂₁₂	2
#20274077	2
#20274067	2
#20274053	2
#20273463	2
#20273364	2
C₅₃×#3147	2
#19101	53