Subgroups — #14575298

Order 2432.

482 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10597355	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#10597361	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927212	C₂	1	1	yes	maximal, characteristic
4	#11927207	C₂	1	1	yes	maximal, characteristic, complemented
5	#11926915	C₂	1	1	yes	maximal, characteristic, complemented
6	#11926791	C₂	1	1	yes	maximal, characteristic, complemented
7	#11926753	C₂	1	1	yes	maximal, characteristic, complemented
8	#11926743	C₂	1	1	yes	maximal, characteristic, complemented
9	#11926707	C₂	1	1	yes	maximal, characteristic, complemented
10	#11926704	C₂	1	1	yes	maximal, characteristic, complemented
11	#11926684	C₂	1	1	yes	maximal, characteristic, complemented
12	#11926682	C₂	1	1	yes	maximal, characteristic, complemented
13	#11926638	C₂	1	1	yes	maximal, characteristic, complemented
14	#11926620	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#468	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×Q₈×D₁₉	C₂²	1	1	yes	characteristic
17	C₂×#64543	C₂²	1	1	yes	characteristic
18	C₂×#64541	C₂²	1	1	yes	characteristic
19	C₂²×Dic₃₈	C₂²	1	1	yes	characteristic
20	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
21	C₂×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
22	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
23	C₁₉×#121	C₂²	1	1	yes	characteristic
24	#10597390	C₂²	1	1	yes	characteristic
25	C₂×#64528	C₂²	1	1	yes	characteristic
26	C₂×#64527	C₂²	1	1	yes	characteristic
27	#10597386	—	2	1	no	—
28	#10597386	C₂²	1	1	yes	characteristic
29	#10597385	—	2	1	no	—
30	C₂×#64526	C₂²	1	1	yes	characteristic
31	C₂×#64526	C₂²	1	1	yes	characteristic
32	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
33	#10597361	—	2	4	no	—
34	#10597355	—	2	4	no	—
35	C₂×Dic₇₆	C₂²	1	1	yes	characteristic
36	C₂×Dic₇₆	C₂²	1	1	yes	characteristic
37	C₂×#64516	C₂²	1	1	yes	characteristic
38	C₂×#64516	C₂²	1	1	yes	characteristic
39	C₂×#64515	C₂²	1	1	yes	characteristic
40	#10597343	C₂²	1	1	yes	characteristic
41	#10597342	—	2	1	no	—
42	#10597341	C₂²	1	1	yes	characteristic
43	#10597334	—	2	1	no	—
44	#10597333	C₂²	1	1	yes	characteristic
45	#10597333	C₂²	1	1	yes	characteristic
46	#10597330	—	2	1	no	—
47	(C₂²⋊D₁₉)⋊C₄	—	2	1	no	—
48	(C₂²⋊D₁₉)⋊C₄	—	2	1	no	—
49	#10597324	—	2	1	no	—
50	C₁₉×#107	C₂²	1	1	yes	characteristic
51	C₁₉×#103	C₂²	1	1	yes	characteristic
52	C₁₉×#102	C₂²	1	1	yes	characteristic
53	C₂²⋊(C₁₉⋊C₈)	C₂²	1	1	yes	characteristic
54	(C₂×D₁₉)⋊C₈	C₂²	1	1	yes	characteristic
55	Dic₁₉⋊C₈	C₂²	1	1	yes	characteristic
56	C₈×Dic₁₉	C₂²	1	1	yes	characteristic
57	#10597267	C₂²	1	1	yes	characteristic
58	#10597267	C₂²	1	1	yes	characteristic
59	#10597267	C₂²	1	1	yes	characteristic
60	#10597266	C₂²	1	1	yes	characteristic
61	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
62	C₂×D₄×C₁₉	—	2	1	no	—
63	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
64	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
65	C₂×C₂²⋊D₁₉	—	2	1	no	—
66	C₂×C₂²⋊D₁₉	—	2	1	no	—
67	C₂×C₂²⋊D₁₉	—	2	1	no	—
68	C₂×C₂²⋊D₁₉	—	2	1	no	—
69	C₂×C₂²⋊D₁₉	D₄	1	1	yes	characteristic
70	C₂²×Dic₁₉	—	2	1	no	—
71	C₂²×Dic₁₉	—	2	1	no	—
72	Q₈×D₁₉	—	2	2	no	—
73	Q₈×D₁₉	—	4	1	no	—
74	#64543	—	2	2	no	—
75	#64543	—	4	1	no	—
76	#64541	—	2	2	no	—
77	#64541	—	4	1	no	—
78	C₂×D₇₆	—	2	1	no	—
79	C₂×D₇₆	C₂³	1	1	yes	characteristic
80	C₂×C₄×D₁₉	—	2	1	no	—
81	C₂×C₄×D₁₉	—	2	1	no	—
82	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
83	C₂×Dic₃₈	—	2	2	no	—
84	C₂×Dic₃₈	—	2	1	no	—
85	C₂×Dic₃₈	—	2	1	no	—
86	C₂×Dic₃₈	—	4	1	no	—
87	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
88	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
89	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
90	SD₁₆×C₁₉	—	2	2	no	—
91	M₁₆×C₁₉	—	2	2	no	—
92	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
93	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
94	C₄⋊C₄×C₁₉	—	2	1	no	—
95	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
96	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
97	C₂²⋊C₄×C₁₉	—	2	1	no	—
98	C₂²⋊C₄×C₁₉	—	2	1	no	—
99	C₂²⋊Dic₁₉	D₄	1	1	yes	characteristic
100	#64528	—	2	2	no	—
101	#64527	—	4	1	no	—
102	#64526	—	2	2	no	—
103	#64526	—	4	1	no	—
104	(C₂×D₁₉)⋊C₄	—	2	1	no	—
105	(C₂×D₁₉)⋊C₄	—	2	1	no	—
106	(C₂×D₁₉)⋊C₄	D₄	1	1	yes	characteristic
107	C₄⋊Dic₁₉	—	2	1	no	—
108	Dic₁₉⋊C₄	—	2	1	no	—
109	Dic₁₉⋊C₄	—	2	1	no	—
110	Dic₁₉⋊C₄	—	2	1	no	—
111	Dic₁₉⋊C₄	—	2	1	no	—
112	Dic₁₉⋊C₄	D₄	1	1	yes	characteristic
113	C₄×Dic₁₉	—	2	1	no	—
114	C₄×Dic₁₉	—	2	1	no	—
115	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
116	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
117	C₂×C₁₉⋊C₈	C₂³	1	1	yes	characteristic
118	Dic₇₆	—	2	2	no	—
119	Dic₇₆	D₄	1	4	yes	complemented
120	#64516	—	2	2	no	—
121	#64516	—	2	2	no	—
122	#64515	—	2	2	no	—
123	C₂³×C₁₉	—	2	1	no	—
124	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
125	C₂²×D₁₉	—	2	1	no	—
126	C₂²×D₁₉	C₂×D₄	1	1	yes	characteristic
127	Q₈×C₁₉	—	2	1	no	—
128	Q₈×C₁₉	—	2	1	no	—
129	D₄×C₁₉	—	2	1	no	—
130	D₄×C₁₉	—	2	1	no	—
131	D₄×C₁₉	—	8	1	no	—
132	C₂×C₄×C₁₉	—	2	1	no	—
133	C₂×C₄×C₁₉	—	2	1	no	—
134	C₂×C₄×C₁₉	—	2	1	no	—
135	C₂×C₄×C₁₉	—	2	1	no	—
136	C₂×C₄×C₁₉	—	2	1	no	—
137	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
138	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
139	C₂²⋊D₁₉	—	2	2	no	—
140	C₂²⋊D₁₉	—	4	2	no	—
141	C₂²⋊D₁₉	—	4	2	no	—
142	C₂²⋊D₁₉	—	4	2	no	—
143	C₂²⋊D₁₉	—	8	1	no	—
144	C₂×Dic₁₉	—	2	1	no	—
145	C₂×Dic₁₉	—	2	1	no	—
146	C₂×Dic₁₉	—	2	1	no	—
147	C₂×Dic₁₉	—	4	2	no	—
148	C₂×Dic₁₉	—	4	2	no	—
149	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
150	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
151	C₂×Dic₁₉	C₂×D₄	1	1	yes	characteristic
152	D₇₆	—	2	1	no	—
153	D₇₆	—	2	1	no	—
154	D₇₆	—	8	1	no	—
155	C₄×D₁₉	—	2	1	no	—
156	C₄×D₁₉	—	2	1	no	—
157	C₄×D₁₉	—	4	2	no	—
158	C₄×D₁₉	—	4	2	no	—
159	Dic₃₈	—	2	1	no	—
160	Dic₃₈	—	2	1	no	—
161	Dic₃₈	—	2	1	no	—
162	Dic₃₈	—	2	1	no	—
163	Dic₃₈	—	4	2	no	—
164	Dic₃₈	—	4	2	no	—
165	Dic₃₈	C₂×D₄	1	2	yes	—
166	Dic₃₈	C₂×D₄	1	2	yes	—
167	C₈×C₁₉	—	2	1	no	—
168	C₈×C₁₉	C₂×D₄	1	2	yes	—
169	C₁₉⋊C₈	—	2	1	no	—
170	C₁₉⋊C₈	—	2	1	no	—
171	#3278	—	19	1	no	maximal, Sylow
172	C₂²×C₁₉	—	2	1	no	—
173	C₂²×C₁₉	—	2	1	no	—
174	C₂²×C₁₉	—	2	1	no	—
175	C₂²×C₁₉	—	4	1	no	—
176	C₂²×C₁₉	—	4	1	no	—
177	C₂²×C₁₉	—	4	1	no	—
178	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
179	C₂×D₁₉	—	2	1	no	—
180	C₂×D₁₉	—	2	1	no	—
181	C₂×D₁₉	—	2	1	no	—
182	C₂×D₁₉	—	4	1	no	—
183	C₂×D₁₉	—	4	1	no	—
184	C₂×D₁₉	—	4	1	no	—
185	C₄×C₁₉	—	2	1	no	—
186	C₄×C₁₉	—	4	1	no	—
187	C₄×C₁₉	—	4	1	no	—
188	C₄×C₁₉	—	4	1	no	—
189	C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
190	C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
191	Dic₁₉	—	2	2	no	—
192	Dic₁₉	—	2	2	no	—
193	Dic₁₉	—	2	1	no	—
194	Dic₁₉	—	2	1	no	—
195	Dic₁₉	—	4	1	no	—
196	Dic₁₉	#137	1	2	yes	complemented
197	C₂×#137	—	19	1	no	—
198	C₂×#137	—	19	1	no	—
199	#550	—	19	1	no	—
200	D₄×Q₈	—	19	1	no	—
201	#492	—	19	1	no	—
202	#468	—	19	1	no	—
203	#468	D₁₉	1	1	yes	characteristic, complemented
204	#462	—	19	1	no	—
205	#460	—	19	1	no	—
206	#452	—	19	1	no	—
207	#452	—	19	1	no	—
208	#448	—	19	1	no	—
209	#448	—	19	1	no	—
210	C₄×Q₁₆	—	19	1	no	—
211	#436	—	19	1	no	—
212	C₂×C₁₉	—	4	1	no	—
213	C₂×C₁₉	—	8	1	no	—
214	C₂×C₁₉	D₄²	1	1	yes	characteristic
215	C₂×C₁₉	C₂×#137	1	1	yes	characteristic
216	C₂×C₁₉	#577	1	1	yes	characteristic
217	D₁₉	—	4	1	no	—
218	D₁₉	—	8	1	no	—
219	C₂×#41	—	19	1	no	—
220	C₂×#41	—	19	1	no	—
221	C₂²×Q₈	—	19	1	no	—
222	C₂²×Q₈	—	19	1	no	—
223	#137	—	38	4	no	—
224	#137	—	38	4	no	—
225	C₂×Q₁₆	—	19	1	no	—
226	C₂×Q₁₆	—	19	1	no	—
227	C₂×Q₁₆	—	19	1	no	—
228	C₂×SD₁₆	—	19	1	no	—
229	C₂×SD₁₆	—	19	1	no	—
230	C₂×SD₁₆	—	19	1	no	—
231	C₂×SD₁₆	—	19	1	no	—
232	C₂×SD₁₆	—	19	1	no	—
233	C₂×SD₁₆	C₂×D₁₉	1	1	yes	characteristic
234	C₂×M₁₆	—	19	1	no	—
235	C₂×M₁₆	C₂×D₁₉	1	1	yes	characteristic
236	C₄⋊Q₈	—	19	1	no	—
237	C₄⋊Q₈	—	38	1	no	—
238	#127	—	19	1	no	—
239	#127	—	38	1	no	—
240	C₂²⋊Q₈	—	19	1	no	—
241	C₂²⋊Q₈	—	38	1	no	—
242	C₂²⋊Q₈	—	38	1	no	—
243	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic
244	#121	—	19	1	no	—
245	#121	—	38	1	no	—
246	#121	—	38	1	no	—
247	#121	C₂×D₁₉	1	1	yes	characteristic
248	C₄×Q₈	—	19	1	no	—
249	C₄×Q₈	—	19	1	no	—
250	C₄×D₄	—	19	1	no	—
251	C₄×D₄	—	38	1	no	—
252	C₄×D₄	—	38	1	no	—
253	#107	C₂×D₁₉	1	1	yes	characteristic
254	C₄⋊C₈	—	19	1	no	—
255	#103	—	19	1	no	—
256	#103	—	19	1	no	—
257	#103	—	19	1	no	—
258	#103	C₂×D₁₉	1	1	yes	characteristic
259	#102	—	19	1	no	—
260	#102	C₂×D₁₉	1	1	yes	characteristic
261	C₂²⋊C₈	—	19	1	no	—
262	C₂²⋊C₈	—	19	1	no	—
263	C₄×C₈	—	19	1	no	—
264	C₁₉	#3278	1	1	yes	characteristic, complemented, Sylow
265	#41	—	38	2	no	—
266	#41	—	38	2	no	—
267	#41	—	76	1	no	—
268	#41	—	76	1	no	—
269	C₂×Q₈	—	19	1	no	—
270	C₂×Q₈	—	19	1	no	—
271	C₂×Q₈	—	19	1	no	—
272	C₂×Q₈	—	38	1	no	—
273	C₂×Q₈	—	38	2	no	—
274	C₂×Q₈	—	38	1	no	—
275	C₂×Q₈	—	38	2	no	—
276	C₂×Q₈	—	76	1	no	—
277	C₂×Q₈	—	76	1	no	—
278	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
279	C₂×D₄	—	2	1	no	—
280	C₂×D₄	—	19	1	no	—
281	C₂×D₄	—	19	1	no	—
282	C₂×D₄	—	38	1	no	—
283	C₂×D₄	—	38	1	no	—
284	C₂×D₄	—	38	1	no	—
285	C₂×D₄	—	38	1	no	—
286	C₂×D₄	—	38	1	no	—
287	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
288	C₂²×C₄	—	19	1	no	—
289	C₂²×C₄	—	38	1	no	—
290	C₂²×C₄	—	38	1	no	—
291	C₂²×C₄	—	38	1	no	—
292	C₂²×C₄	—	38	1	no	—
293	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
294	Q₁₆	—	19	4	no	—
295	Q₁₆	—	38	2	no	—
296	Q₁₆	—	38	2	no	—
297	SD₁₆	—	2	2	no	—
298	SD₁₆	—	38	2	no	—
299	SD₁₆	—	38	2	no	—
300	SD₁₆	—	38	2	no	—
301	SD₁₆	—	76	1	no	—
302	SD₁₆	—	76	1	no	—
303	M₁₆	—	2	2	no	—
304	M₁₆	—	38	2	no	—
305	C₂×C₈	—	19	1	no	—
306	C₂×C₈	—	19	1	no	—
307	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
308	C₂×C₈	C₂²×D₁₉	1	1	yes	characteristic
309	C₄⋊C₄	—	2	1	no	—
310	C₄⋊C₄	—	19	1	no	—
311	C₄⋊C₄	—	38	1	no	—
312	C₄⋊C₄	—	38	1	no	—
313	C₄⋊C₄	—	38	1	no	—
314	C₄⋊C₄	—	38	1	no	—
315	C₄⋊C₄	—	38	1	no	—
316	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
317	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
318	C₂²⋊C₄	—	2	1	no	—
319	C₂²⋊C₄	—	2	1	no	—
320	C₂²⋊C₄	—	19	1	no	—
321	C₂²⋊C₄	—	19	1	no	—
322	C₂²⋊C₄	—	38	1	no	—
323	C₂²⋊C₄	—	38	1	no	—
324	C₄²	—	19	1	no	—
325	C₄²	—	38	1	no	—
326	C₄²	—	38	1	no	—
327	C₂³	—	2	1	no	—
328	C₂³	—	19	1	no	—
329	C₂³	—	38	1	no	—
330	C₂³	D₄×D₁₉	1	1	yes	characteristic
331	Q₈	—	2	1	no	—
332	Q₈	—	2	1	no	—
333	Q₈	—	19	2	no	—
334	Q₈	—	19	2	no	—
335	Q₈	—	38	1	no	—
336	Q₈	—	38	1	no	—
337	Q₈	—	38	1	no	—
338	Q₈	—	38	1	no	—
339	Q₈	—	76	2	no	—
340	Q₈	—	76	2	no	—
341	D₄	—	2	1	no	—
342	D₄	—	2	1	no	—
343	D₄	—	8	1	no	—
344	D₄	—	38	2	no	—
345	D₄	—	38	1	no	—
346	D₄	—	38	1	no	—
347	D₄	—	76	2	no	—
348	D₄	—	76	2	no	—
349	D₄	—	76	2	no	—
350	D₄	—	152	1	no	—
351	D₄	—	152	1	no	—
352	C₂×C₄	—	2	1	no	—
353	C₂×C₄	—	2	1	no	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	2	1	no	—
356	C₂×C₄	—	2	1	no	—
357	C₂×C₄	—	19	1	no	—
358	C₂×C₄	—	19	1	no	—
359	C₂×C₄	—	19	1	no	—
360	C₂×C₄	—	38	1	no	—
361	C₂×C₄	—	38	1	no	—
362	C₂×C₄	—	38	1	no	—
363	C₂×C₄	—	38	1	no	—
364	C₂×C₄	—	38	1	no	—
365	C₂×C₄	—	76	2	no	—
366	C₂×C₄	—	76	2	no	—
367	C₂×C₄	—	76	2	no	—
368	C₂×C₄	—	76	2	no	—
369	C₂×C₄	D₄×D₁₉	1	1	yes	characteristic
370	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
371	C₈	—	2	1	no	—
372	C₈	—	38	1	no	—
373	C₈	—	38	1	no	—
374	C₈	D₄×D₁₉	1	2	yes	—
375	C₂²	—	2	1	no	—
376	C₂²	—	2	1	no	—
377	C₂²	—	2	1	no	—
378	C₂²	—	4	1	no	—
379	C₂²	—	4	1	no	—
380	C₂²	—	4	1	no	—
381	C₂²	—	38	1	no	—
382	C₂²	—	38	1	no	—
383	C₂²	—	38	1	no	—
384	C₂²	—	76	1	no	—
385	C₂²	—	76	1	no	—
386	C₂²	—	76	1	no	—
387	C₂²	C₂×D₄×D₁₉	1	1	yes	characteristic
388	C₄	—	2	1	no	—
389	C₄	—	4	1	no	—
390	C₄	—	4	1	no	—
391	C₄	—	4	1	no	—
392	C₄	—	19	2	no	—
393	C₄	—	38	1	no	—
394	C₄	—	38	1	no	—
395	C₄	—	38	2	no	—
396	C₄	—	38	2	no	—
397	C₄	—	76	1	no	—
398	C₄	C₂×D₄×D₁₉	1	1	yes	characteristic
399	C₄	#10597435	1	1	yes	characteristic
400	C₂	—	4	1	no	—
401	C₂	—	8	1	no	—
402	C₂	—	76	1	no	—
403	C₂	—	152	1	no	—
404	C₂	#11927178	1	1	yes	characteristic
405	C₂	#137×D₁₉	1	1	yes	characteristic
406	C₂	#11927354	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₉
commutator, cosocle	C₂×C₄×C₁₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉
Fitting	C₁₉×#468	C₂
socle	C₂²×C₁₉	C₂²×D₄
prime radical	#11927212	C₂
hypercenter	#468	D₁₉
hypocenter	C₁₉	#3278
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #468

Complements

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

N	H ≅ G/N	type
1. C₂×#10597355	C₂	semidirect
2. C₂×#10597361	C₂	semidirect
4. #11927207	C₂	semidirect
5. #11926915	C₂	semidirect
6. #11926791	C₂	semidirect
7. #11926753	C₂	semidirect
8. #11926743	C₂	semidirect
9. #11926707	C₂	semidirect
10. #11926704	C₂	semidirect
11. #11926684	C₂	semidirect
12. #11926682	C₂	semidirect
13. #11926638	C₂	semidirect
14. #11926620	C₂	semidirect
15. C₁₉×#468	C₂	semidirect
119. Dic₇₆	D₄	semidirect
196. Dic₁₉	#137	semidirect
203. #468	D₁₉	semidirect
264. C₁₉	#3278	semidirect

Maximal subgroups

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

subgroup	index
C₂×#10597355	2
C₂×#10597361	2
#11927212	2
#11927207	2
#11926915	2
#11926791	2
#11926753	2
#11926743	2
#11926707	2
#11926704	2
#11926684	2
#11926682	2
#11926638	2
#11926620	2
C₁₉×#468	2
#3278	19