Finite Group Databasebeta

← C31×#18144 #21474903

Subgroups — C31×#18144 #21474903

Order 7936.

1330 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#538C211yesmaximal, characteristic, complemented
2C31×#3007C211yesmaximal, characteristic, complemented
3C31×#3006C211yesmaximal, characteristic, complemented
4C31×#2404C211yesmaximal, characteristic, complemented
5C31×#1606C214yesmaximal, complemented
6C31×#1600C214yesmaximal, complemented
7C31×#1511C211yesmaximal, characteristic, complemented
8C31×#1510C211yesmaximal, characteristic, complemented
9C31×#1462C211yesmaximal, characteristic, complemented
10C22×#41×C31C2211yescharacteristic
11C2×C31×#137—21no—
12C2×C31×AGL(1,ℤ/8)—21no—
13C31×#538—22no—
14C31×#538—22no—
15C31×#538—22no—
16C31×#538C2214yes—
17C2×C31×#126—21no—
18C2×C31×#124—21no—
19C2×C31×#123—21no—
20C2×C31×C22⋊Q8C2211yescharacteristic
21C2×C31×#121—21no—
22C2×C31×#121C2211yescharacteristic
23C2×C31×#120—21no—
24C2×C31×#120—21no—
25C2×C4×D4×C31—21no—
26C22×C22⋊C4×C31C2211yescharacteristic
27C31×#452—22no—
28C31×#451C2212yescomplemented
29C31×#450C2212yescomplemented
30C31×#449—22no—
31C31×#448C2212yescomplemented
32C31×#447C2212yescomplemented
33C31×#417—21no—
34C31×#417—21no—
35C31×#407C2211yescharacteristic
36C31×#407C2211yescharacteristic
37C31×#393C2212yescomplemented
38C31×#392C2212yescomplemented
39C31×#386—21no—
40C31×#386—22no—
41C31×#381C2211yescharacteristic
42C31×#328C2214yescomplemented
43C31×#327C2214yescomplemented
44C31×#323C2214yescomplemented
45C25×C31D411yescharacteristic
46C2×#41×C31—21no—
47C2×#41×C31—21no—
48C2×#41×C31—21no—
49C2×#41×C31—21no—
50C2×#41×C31—44no—
51C22×Q8×C31D411yescharacteristic, complemented
52C22×Q8×C31C2311yescharacteristic
53C22×D4×C31—21no—
54C22×D4×C31—21no—
55C22×D4×C31—21no—
56C22×D4×C31—21no—
57C22×D4×C31—22no—
58C22×D4×C31D411yescharacteristic, complemented
59C22×D4×C31C2311yescharacteristic
60C23×C4×C31—21no—
61C23×C4×C31—21no—
62C23×C4×C31D411yescharacteristic
63C23×C4×C31C2311yescharacteristic
64C31×#137—44no—
65C31×AGL(1,ℤ/8)—44no—
66C2×Q16×C31—22no—
67C2×SD16×C31—22no—
68C2×SD16×C31—22no—
69C2×D8×C31—22no—
70C2×M16×C31—21no—
71C2×M16×C31—21no—
72C31×#126—24no—
73C31×#126—24no—
74C31×#124—24no—
75C31×#124—24no—
76C31×#123—24no—
77C31×#123—24no—
78C31×C22⋊Q8—21no—
79C31×C22⋊Q8—21no—
80C31×C22⋊Q8D412yescomplemented
81C31×C22⋊Q8C2312yes—
82C31×#121—24no—
83C31×#121—24no—
84C31×#121—21no—
85C31×#121—21no—
86C31×#121D412yescomplemented
87C31×#121C2312yes—
88C31×#120—24no—
89C31×#120—24no—
90C31×#120—44no—
91C4×D4×C31—24no—
92C4×D4×C31—24no—
93C2×C4⋊C4×C31—21no—
94C2×C4⋊C4×C31—21no—
95C2×C4⋊C4×C31D411yescharacteristic, complemented
96C2×C4⋊C4×C31D411yescharacteristic, complemented
97C2×C22⋊C4×C31—21no—
98C2×C22⋊C4×C31—21no—
99C2×C22⋊C4×C31—21no—
100C2×C22⋊C4×C31—21no—
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31—21no—
103C2×C22⋊C4×C31—21no—
104C2×C22⋊C4×C31—21no—
105C2×C22⋊C4×C31—21no—
106C2×C22⋊C4×C31—21no—
107C2×C22⋊C4×C31—22no—
108C2×C22⋊C4×C31—22no—
109C2×C22⋊C4×C31D412yes—
110C2×C22⋊C4×C31C2312yes—
111C2×C42×C31—21no—
112C31×#103—22no—
113C31×#103—22no—
114C31×#102—22no—
115C31×#102—22no—
116C31×C22⋊C8—21no—
117C31×C22⋊C8—21no—
118C31×C22⋊C8C2312yes—
119C31×C22⋊C8C2312yes—
120C31×#95—21no—
121C31×#95—22no—
122C31×#95C2312yes—
123C24×C31—21no—
124C24×C31—21no—
125C24×C31—21no—
126C24×C31—21no—
127C24×C31—42no—
128C24×C31—42no—
129C24×C31—81no—
130C24×C31C2×D411yescharacteristic
131C24×C31C2×D412yes—
132#41×C31—24no—
133#41×C31—24no—
134#41×C31—42no—
135#41×C31—42no—
136#41×C31—42no—
137#41×C31—42no—
138#41×C31—42no—
139#41×C31—42no—
140C2×Q8×C31—21no—
141C2×Q8×C31—21no—
142C2×Q8×C31—21no—
143C2×Q8×C31—42no—
144C2×Q8×C31—42no—
145C2×Q8×C31C2×D412yes—
146C2×D4×C31—24no—
147C2×D4×C31—22no—
148C2×D4×C31—22no—
149C2×D4×C31—24no—
150C2×D4×C31—24no—
151C2×D4×C31—21no—
152C2×D4×C31—21no—
153C2×D4×C31—21no—
154C2×D4×C31—42no—
155C2×D4×C31—42no—
156C2×D4×C31—44no—
157C2×D4×C31—42no—
158C2×D4×C31—41no—
159C2×D4×C31—41no—
160C2×D4×C31—44no—
161C2×D4×C31—44no—
162C2×D4×C31—82no—
163C2×D4×C31—82no—
164C2×D4×C31—82no—
165C2×D4×C31C2×D412yes—
166C22×C4×C31—21no—
167C22×C4×C31—21no—
168C22×C4×C31—21no—
169C22×C4×C31—21no—
170C22×C4×C31—21no—
171C22×C4×C31—24no—
172C22×C4×C31—21no—
173C22×C4×C31—22no—
174C22×C4×C31—42no—
175C22×C4×C31—42no—
176C22×C4×C31—42no—
177C22×C4×C31—41no—
178C22×C4×C31—41no—
179C22×C4×C31—81no—
180C22×C4×C31—82no—
181C22×C4×C31C2×D411yescharacteristic
182C22×C4×C31C2×D411yescharacteristic
183C22×C4×C31C2×D412yes—
184C22×C4×C31C2×D411yescharacteristic
185C22×C4×C31C2×D411yescharacteristic
186C22×C4×C31C2×D411yescharacteristic
187C22×C4×C31C2411yescharacteristic
188Q16×C31—44no—
189SD16×C31—44no—
190SD16×C31—44no—
191D8×C31—44no—
192M16×C31—42no—
193M16×C31—42no—
194C2×C8×C31—22no—
195C2×C8×C31—22no—
196C4⋊C4×C31—24no—
197C4⋊C4×C31—22no—
198C4⋊C4×C31—21no—
199C4⋊C4×C31—21no—
200C4⋊C4×C31—22no—
201C4⋊C4×C31C2×D412yes—
202C4⋊C4×C31C2×D412yes—
203C22⋊C4×C31—24no—
204C22⋊C4×C31—24no—
205C22⋊C4×C31—24no—
206C22⋊C4×C31—22no—
207C22⋊C4×C31—22no—
208C22⋊C4×C31—22no—
209C22⋊C4×C31—22no—
210C22⋊C4×C31—22no—
211C22⋊C4×C31—22no—
212C22⋊C4×C31—22no—
213C22⋊C4×C31—22no—
214C22⋊C4×C31—44no—
215C22⋊C4×C31—42no—
216C22⋊C4×C31—82no—
217C42×C31—24no—
218#18144C3111yesmaximal, characteristic, direct product factor, Sylow
219C23×C31—22no—
220C23×C31—22no—
221C23×C31—22no—
222C23×C31—22no—
223C23×C31—22no—
224C23×C31—22no—
225C23×C31—22no—
226C23×C31—41no—
227C23×C31—42no—
228C23×C31—42no—
229C23×C31—42no—
230C23×C31—41no—
231C23×C31—42no—
232C23×C31—42no—
233C23×C31—42no—
234C23×C31—42no—
235C23×C31—42no—
236C23×C31—41no—
237C23×C31—42no—
238C23×C31—42no—
239C23×C31—42no—
240C23×C31—81no—
241C23×C31—81no—
242C23×C31—88no—
243C23×C31#12011yescharacteristic
244C23×C31#12011yescharacteristic
245C23×C31C22×D411yescharacteristic
246Q8×C31—22no—
247Q8×C31—22no—
248Q8×C31—42no—
249Q8×C31—41no—
250Q8×C31—41no—
251Q8×C31—81no—
252D4×C31—22no—
253D4×C31—22no—
254D4×C31—42no—
255D4×C31—41no—
256D4×C31—41no—
257D4×C31—44no—
258D4×C31—44no—
259D4×C31—44no—
260D4×C31—44no—
261D4×C31—81no—
262D4×C31—84no—
263D4×C31—84no—
264D4×C31—88no—
265C2×C4×C31—22no—
266C2×C4×C31—22no—
267C2×C4×C31—22no—
268C2×C4×C31—22no—
269C2×C4×C31—22no—
270C2×C4×C31—22no—
271C2×C4×C31—22no—
272C2×C4×C31—41no—
273C2×C4×C31—41no—
274C2×C4×C31—41no—
275C2×C4×C31—41no—
276C2×C4×C31—44no—
277C2×C4×C31—44no—
278C2×C4×C31—41no—
279C2×C4×C31—42no—
280C2×C4×C31—42no—
281C2×C4×C31—42no—
282C2×C4×C31—41no—
283C2×C4×C31—42no—
284C2×C4×C31—42no—
285C2×C4×C31—42no—
286C2×C4×C31—42no—
287C2×C4×C31—42no—
288C2×C4×C31—81no—
289C2×C4×C31—84no—
290C2×C4×C31#12011yescharacteristic
291C2×C4×C31#12011yescharacteristic
292C2×C4×C31C22×D411yescharacteristic
293C2×C4×C31C22×D411yescharacteristic
294C8×C31—42no—
295C8×C31—42no—
296C2×#538C2×C3111yescharacteristic, complemented
297#3007C2×C3111yescharacteristic, complemented
298#3006C2×C3111yescharacteristic, complemented
299#2404C2×C3111yescharacteristic, complemented
300#1606C2×C3114yescomplemented
301#1600C2×C3114yescomplemented
302#1511C2×C3111yescharacteristic, complemented
303#1510C2×C3111yescharacteristic, complemented
304#1462C2×C3111yescharacteristic, complemented
305C22×C31—21no—
306C22×C31—21no—
307C22×C31—21no—
308C22×C31—21no—
309C22×C31—21no—
310C22×C31—21no—
311C22×C31—21no—
312C22×C31—44no—
313C22×C31—44no—
314C22×C31—44no—
315C22×C31—42no—
316C22×C31—42no—
317C22×C31—42no—
318C22×C31—42no—
319C22×C31—42no—
320C22×C31—42no—
321C22×C31—42no—
322C22×C31—82no—
323C22×C31—82no—
324C22×C31—84no—
325C22×C31—84no—
326C22×C31—84no—
327C22×C31—81no—
328C22×C31—81no—
329C22×C31B(4,𝔽2)12yes—
330C22×C31C2×#12011yescharacteristic
331C22×C31#57512yes—
332C4×C31—21no—
333C4×C31—21no—
334C4×C31—21no—
335C4×C31—21no—
336C4×C31—42no—
337C4×C31—42no—
338C4×C31—42no—
339C4×C31—42no—
340C4×C31—42no—
341C4×C31—82no—
342C22×#41C22×C3111yescharacteristic
343C2×#137—21no—
344C2×AGL(1,ℤ/8)—21no—
345#538—22no—
346#538—22no—
347#538—22no—
348#538C22×C3114yes—
349C2×#126—21no—
350C2×#124—21no—
351C2×#123—21no—
352C2×C22⋊Q8C22×C3111yescharacteristic
353C2×#121—21no—
354C2×#121C22×C3111yescharacteristic
355C2×#120—21no—
356C2×#120—21no—
357C2×C4×D4—21no—
358C22×C22⋊C4C22×C3111yescharacteristic
359#452—22no—
360#451C22×C3112yescomplemented
361#450C22×C3112yescomplemented
362#449—22no—
363#448C22×C3112yescomplemented
364#447C22×C3112yescomplemented
365#417—21no—
366#417—21no—
367#407C22×C3111yescharacteristic
368#407C22×C3111yescharacteristic
369#393C22×C3112yescomplemented
370#392C22×C3112yescomplemented
371#386—21no—
372#386—22no—
373#381C22×C3111yescharacteristic
374#328C22×C3114yescomplemented
375#327C22×C3114yescomplemented
376#323C22×C3114yescomplemented
377C2×C31—22no—
378C2×C31—22no—
379C2×C31—41no—
380C2×C31—82no—
381C2×C31—82no—
382C2×C31—82no—
383C2×C31#300511yescharacteristic
384C2×C31#301911yescharacteristic
385C2×C31C2×B(4,𝔽2)11yescharacteristic
386C25D4×C3111yescharacteristic
387C2×#41—21no—
388C2×#41—21no—
389C2×#41—21no—
390C2×#41—21no—
391C2×#41—44no—
392C22×Q8D4×C3111yescharacteristic, complemented
393C22×Q8C23×C3111yescharacteristic
394C22×D4—21no—
395C22×D4—21no—
396C22×D4—21no—
397C22×D4—21no—
398C22×D4—22no—
399C22×D4D4×C3111yescharacteristic, complemented
400C22×D4C23×C3111yescharacteristic
401C23×C4—21no—
402C23×C4—21no—
403C23×C4D4×C3111yescharacteristic
404C23×C4C23×C3111yescharacteristic
405#137—44no—
406AGL(1,ℤ/8)—44no—
407C2×Q16—22no—
408C2×SD16—22no—
409C2×SD16—22no—
410C2×D8—22no—
411C2×M16—21no—
412C2×M16—21no—
413#126—24no—
414#126—24no—
415#124—24no—
416#124—24no—
417#123—24no—
418#123—24no—
419C22⋊Q8—21no—
420C22⋊Q8—21no—
421C22⋊Q8D4×C3112yescomplemented
422C22⋊Q8C23×C3112yes—
423#121—24no—
424#121—24no—
425#121—21no—
426#121—21no—
427#121D4×C3112yescomplemented
428#121C23×C3112yes—
429#120—24no—
430#120—24no—
431#120—44no—
432C4×D4—24no—
433C4×D4—24no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4D4×C3111yescharacteristic, complemented
437C2×C4⋊C4D4×C3111yescharacteristic, complemented
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—22no—
449C2×C22⋊C4—22no—
450C2×C22⋊C4D4×C3112yes—
451C2×C22⋊C4C23×C3112yes—
452C2×C42—21no—
453#103—22no—
454#103—22no—
455#102—22no—
456#102—22no—
457C22⋊C8—21no—
458C22⋊C8—21no—
459C22⋊C8C23×C3112yes—
460C22⋊C8C23×C3112yes—
461#95—21no—
462#95—22no—
463#95C23×C3112yes—
464C31#1814411yescharacteristic, direct product factor, Sylow
465C24—21no—
466C24—21no—
467C24—21no—
468C24—21no—
469C24—42no—
470C24—42no—
471C24—81no—
472C24C2×D4×C3111yescharacteristic
473C24C2×D4×C3112yes—
474#41—24no—
475#41—24no—
476#41—42no—
477#41—42no—
478#41—42no—
479#41—42no—
480#41—42no—
481#41—42no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—42no—
486C2×Q8—42no—
487C2×Q8C2×D4×C3112yes—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—24no—
492C2×D4—24no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—44no—
499C2×D4—42no—
500C2×D4—41no—
501C2×D4—41no—
502C2×D4—44no—
503C2×D4—44no—
504C2×D4—82no—
505C2×D4—82no—
506C2×D4—82no—
507C2×D4C2×D4×C3112yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—24no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—41no—
520C22×C4—41no—
521C22×C4—81no—
522C22×C4—82no—
523C22×C4C2×D4×C3111yescharacteristic
524C22×C4C2×D4×C3111yescharacteristic
525C22×C4C2×D4×C3112yes—
526C22×C4C2×D4×C3111yescharacteristic
527C22×C4C2×D4×C3111yescharacteristic
528C22×C4C2×D4×C3111yescharacteristic
529C22×C4C24×C3111yescharacteristic
530Q16—44no—
531SD16—44no—
532SD16—44no—
533D8—44no—
534M16—42no—
535M16—42no—
536C2×C8—22no—
537C2×C8—22no—
538C4⋊C4—24no—
539C4⋊C4—22no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—22no—
543C4⋊C4C2×D4×C3112yes—
544C4⋊C4C2×D4×C3112yes—
545C22⋊C4—24no—
546C22⋊C4—24no—
547C22⋊C4—24no—
548C22⋊C4—22no—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—22no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—22no—
556C22⋊C4—44no—
557C22⋊C4—42no—
558C22⋊C4—82no—
559C42—24no—
560C23—22no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—41no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—41no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—41no—
580C23—42no—
581C23—81no—
582C23—81no—
583C23—88no—
584C23C31×#12011yescharacteristic
585C23C31×#12011yescharacteristic
586C23C22×D4×C3111yescharacteristic
587Q8—22no—
588Q8—22no—
589Q8—42no—
590Q8—41no—
591Q8—41no—
592Q8—81no—
593D4—22no—
594D4—22no—
595D4—42no—
596D4—41no—
597D4—41no—
598D4—44no—
599D4—44no—
600D4—44no—
601D4—44no—
602D4—81no—
603D4—84no—
604D4—84no—
605D4—88no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—41no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—41no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—81no—
630C2×C4—84no—
631C2×C4C31×#12011yescharacteristic
632C2×C4C31×#12011yescharacteristic
633C2×C4C22×D4×C3111yescharacteristic
634C2×C4C22×D4×C3111yescharacteristic
635C8—42no—
636C8—42no—
637C22—21no—
638C22—21no—
639C22—21no—
640C22—21no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—44no—
645C22—44no—
646C22—44no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—82no—
655C22—84no—
656C22—82no—
657C22—84no—
658C22—84no—
659C22—81no—
660C22—81no—
661C22C31×B(4,𝔽2)12yes—
662C22C2×C31×#12011yescharacteristic
663C22C31×#57512yes—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—21no—
668C4—42no—
669C4—42no—
670C4—42no—
671C4—42no—
672C4—42no—
673C4—82no—
674C2—22no—
675C2—22no—
676C2—41no—
677C2—82no—
678C2—82no—
679C2—82no—
680C2C31×#300511yescharacteristic
681C2C31×#301911yescharacteristic
682C2C2×C31×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC22×C4C24×C31
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×#538C2semidirect
2. C31×#3007C2semidirect
3. C31×#3006C2semidirect
4. C31×#2404C2semidirect
5. C31×#1606C2semidirect
6. C31×#1600C2semidirect
7. C31×#1511C2semidirect
8. C31×#1510C2semidirect
9. C31×#1462C2semidirect
28. C31×#451C22semidirect
29. C31×#450C22semidirect
31. C31×#448C22semidirect
32. C31×#447C22semidirect
37. C31×#393C22semidirect
38. C31×#392C22semidirect
42. C31×#328C22semidirect
43. C31×#327C22semidirect
44. C31×#323C22semidirect
51. C22×Q8×C31D4semidirect
58. C22×D4×C31D4semidirect
80. C31×C22⋊Q8D4semidirect
86. C31×#121D4semidirect
95. C2×C4⋊C4×C31D4semidirect
96. C2×C4⋊C4×C31D4semidirect
218. #18144C31direct (N × H)
296. C2×#538C2×C31semidirect
297. #3007C2×C31semidirect
298. #3006C2×C31semidirect
299. #2404C2×C31semidirect
300. #1606C2×C31semidirect
301. #1600C2×C31semidirect
302. #1511C2×C31semidirect
303. #1510C2×C31semidirect
304. #1462C2×C31semidirect
360. #451C22×C31semidirect
361. #450C22×C31semidirect
363. #448C22×C31semidirect
364. #447C22×C31semidirect
369. #393C22×C31semidirect
370. #392C22×C31semidirect
374. #328C22×C31semidirect
375. #327C22×C31semidirect
376. #323C22×C31semidirect
392. C22×Q8D4×C31semidirect
399. C22×D4D4×C31semidirect
421. C22⋊Q8D4×C31semidirect
427. #121D4×C31semidirect
436. C2×C4⋊C4D4×C31semidirect
437. C2×C4⋊C4D4×C31semidirect
464. C31#18144direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#5382
C31×#30072
C31×#30062
C31×#24042
C31×#16062
C31×#16002
C31×#15112
C31×#15102
C31×#14622
#1814431