Finite Group Databasebeta

← C2×C31×#2019 #21480195

Subgroups — C2×C31×#2019 #21480195

Order 7936.

2030 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C31×#137C211yesmaximal, characteristic, complemented
2C22×C31×AGL(1,ℤ/8)C211yesmaximal, characteristic
3C23×SD16×C31C211yesmaximal, characteristic, complemented
4C22×C31×#101C211yesmaximal, characteristic, complemented
5C22×C31×#100C211yesmaximal, characteristic, complemented
6C2×C31×#408C211yesmaximal, characteristic, complemented
7C31×#2019C218yesmaximal, direct product factor
8C2×C31×#341C211yesmaximal, characteristic, complemented
9C22×#41×C31C2211yescharacteristic
10C23×Q8×C31C2211yescharacteristic
11C23×D4×C31C2211yescharacteristic
12C2×C31×#137—22no—
13C2×C31×#137—24no—
14C2×C31×#137—24no—
15C2×C31×#137C2214yescomplemented
16C2×C31×AGL(1,ℤ/8)—22no—
17C2×C31×AGL(1,ℤ/8)—24no—
18C2×C31×AGL(1,ℤ/8)—24no—
19C2×C31×AGL(1,ℤ/8)C2214yes—
20C22×Q16×C31—21no—
21C22×SD16×C31—24no—
22C22×SD16×C31—21no—
23C22×SD16×C31—24no—
24C22×SD16×C31—21no—
25C22×SD16×C31—22no—
26C22×SD16×C31—22no—
27C22×SD16×C31C2214yescomplemented
28C22×D8×C31—21no—
29C22×M16×C31C2211yescharacteristic
30C22×M16×C31C2211yescharacteristic
31C22×M16×C31C2211yescharacteristic
32C23×C8×C31C2211yescharacteristic
33C2×C31×#101—24no—
34C2×C31×#101C2214yescomplemented
35C2×C31×#100—24no—
36C2×C31×#100C2214yescomplemented
37C31×#408—22no—
38C31×#408C2214yescomplemented
39C2×C31×C22⋊C8—22no—
40C31×#341C2214yescomplemented
41C25×C31—21no—
42C2×#41×C31—21no—
43C2×#41×C31—21no—
44C2×#41×C31—22no—
45C2×#41×C31—22no—
46C2×#41×C31—22no—
47C2×#41×C31—22no—
48C2×#41×C31D412yes—
49C2×#41×C31C2312yes—
50C22×Q8×C31—22no—
51C22×Q8×C31—21no—
52C22×Q8×C31—22no—
53C22×Q8×C31—21no—
54C22×Q8×C31—21no—
55C22×Q8×C31—21no—
56C22×Q8×C31—21no—
57C22×Q8×C31—22no—
58C22×Q8×C31D411yescharacteristic
59C22×Q8×C31D414yes—
60C22×Q8×C31C2312yes—
61C22×D4×C31—21no—
62C22×D4×C31—21no—
63C22×D4×C31—22no—
64C22×D4×C31—21no—
65C22×D4×C31—21no—
66C22×D4×C31—21no—
67C22×D4×C31—22no—
68C22×D4×C31—22no—
69C22×D4×C31—21no—
70C22×D4×C31D411yescharacteristic
71C22×D4×C31D414yes—
72C22×D4×C31C2312yes—
73C23×C4×C31—21no—
74C23×C4×C31—21no—
75C23×C4×C31C2311yescharacteristic
76C31×#137—216no—
77C31×#137—28no—
78C31×#137—28no—
79C31×AGL(1,ℤ/8)—216no—
80C31×AGL(1,ℤ/8)—28no—
81C31×AGL(1,ℤ/8)—28no—
82C2×Q16×C31—28no—
83C2×Q16×C31—24no—
84C2×SD16×C31—216no—
85C2×SD16×C31—216no—
86C2×SD16×C31—28no—
87C2×SD16×C31—28no—
88C2×SD16×C31—28no—
89C2×SD16×C31—24no—
90C2×SD16×C31—28no—
91C2×SD16×C31—24no—
92C2×SD16×C31—28no—
93C2×D8×C31—28no—
94C2×D8×C31—24no—
95C2×M16×C31—22no—
96C2×M16×C31—21no—
97C2×M16×C31—22no—
98C2×M16×C31—21no—
99C2×M16×C31—21no—
100C2×M16×C31—22no—
101C2×M16×C31—22no—
102C2×M16×C31D414yes—
103C2×M16×C31D414yes—
104C2×M16×C31C2312yes—
105C2×M16×C31C2312yes—
106C2×M16×C31C2312yes—
107C22×C8×C31—22no—
108C22×C8×C31—22no—
109C22×C8×C31—21no—
110C22×C8×C31—21no—
111C22×C8×C31—21no—
112C22×C8×C31D412yes—
113C22×C8×C31D412yes—
114C22×C8×C31C2312yes—
115C31×#101—28no—
116C31×#100—28no—
117C31×C22⋊C8—28no—
118C24×C31—21no—
119C24×C31—24no—
120C24×C31—22no—
121C24×C31—42no—
122C24×C31—41no—
123C24×C31—41no—
124C24×C31—84no—
125C24×C31#4111yescharacteristic
126#41×C31—24no—
127#41×C31—24no—
128#41×C31—22no—
129#41×C31—22no—
130#41×C31—22no—
131#41×C31—22no—
132#41×C31—42no—
133#41×C31—42no—
134#41×C31—42no—
135#41×C31—42no—
136C2×Q8×C31—24no—
137C2×Q8×C31—21no—
138C2×Q8×C31—22no—
139C2×Q8×C31—24no—
140C2×Q8×C31—24no—
141C2×Q8×C31—22no—
142C2×Q8×C31—24no—
143C2×Q8×C31—22no—
144C2×Q8×C31—24no—
145C2×Q8×C31—22no—
146C2×Q8×C31—22no—
147C2×Q8×C31—22no—
148C2×Q8×C31—22no—
149C2×Q8×C31—42no—
150C2×Q8×C31—42no—
151C2×Q8×C31—41no—
152C2×Q8×C31—42no—
153C2×Q8×C31—41no—
154C2×Q8×C31—42no—
155C2×Q8×C31—42no—
156C2×Q8×C31C2×D412yes—
157C2×Q8×C31C2×D414yes—
158C2×D4×C31—22no—
159C2×D4×C31—22no—
160C2×D4×C31—22no—
161C2×D4×C31—24no—
162C2×D4×C31—24no—
163C2×D4×C31—24no—
164C2×D4×C31—22no—
165C2×D4×C31—24no—
166C2×D4×C31—24no—
167C2×D4×C31—21no—
168C2×D4×C31—22no—
169C2×D4×C31—22no—
170C2×D4×C31—22no—
171C2×D4×C31—22no—
172C2×D4×C31—22no—
173C2×D4×C31—42no—
174C2×D4×C31—42no—
175C2×D4×C31—42no—
176C2×D4×C31—42no—
177C2×D4×C31—41no—
178C2×D4×C31—41no—
179C2×D4×C31—42no—
180C2×D4×C31—42no—
181C2×D4×C31—42no—
182C2×D4×C31C2×D412yes—
183C2×D4×C31C2×D414yes—
184C22×C4×C31—24no—
185C22×C4×C31—21no—
186C22×C4×C31—22no—
187C22×C4×C31—22no—
188C22×C4×C31—22no—
189C22×C4×C31—41no—
190C22×C4×C31—42no—
191C22×C4×C31—41no—
192C22×C4×C31—42no—
193C22×C4×C31—42no—
194C22×C4×C31C2×D412yes—
195C22×C4×C31C2×D412yes—
196C22×C4×C31C2×D411yescharacteristic
197C22×C4×C31C2×D411yescharacteristic
198C22×C4×C31C2×D411yescharacteristic
199C22×C4×C31C2×D412yes—
200C22×C4×C31C2×D412yes—
201C22×C4×C31C2×D411yescharacteristic
202C22×C4×C31#4111yescharacteristic
203C22×C4×C31C2411yescharacteristic
204Q16×C31—216no—
205SD16×C31—232no—
206SD16×C31—216no—
207SD16×C31—216no—
208D8×C31—216no—
209M16×C31—24no—
210M16×C31—24no—
211M16×C31—22no—
212M16×C31—22no—
213M16×C31—22no—
214M16×C31—22no—
215M16×C31—42no—
216M16×C31C2×D414yes—
217M16×C31C2×D414yes—
218C2×C8×C31—24no—
219C2×C8×C31—24no—
220C2×C8×C31—24no—
221C2×C8×C31—24no—
222C2×C8×C31—22no—
223C2×C8×C31—22no—
224C2×C8×C31—22no—
225C2×C8×C31—22no—
226C2×C8×C31—22no—
227C2×C8×C31—42no—
228C2×C8×C31C2×D414yes—
229C2×#2019C3111yesmaximal, characteristic, direct product factor, Sylow
230C23×C31—24no—
231C23×C31—22no—
232C23×C31—24no—
233C23×C31—42no—
234C23×C31—42no—
235C23×C31—42no—
236C23×C31—44no—
237C23×C31—44no—
238C23×C31—44no—
239C23×C31—88no—
240C23×C31—84no—
241C23×C31—88no—
242C23×C31—84no—
243C23×C31—84no—
244C23×C31#12112yes—
245C23×C31#12111yescharacteristic
246C23×C31#12112yes—
247C23×C31#12111yescharacteristic
248C23×C31C2×#4111yescharacteristic
249Q8×C31—24no—
250Q8×C31—22no—
251Q8×C31—24no—
252Q8×C31—22no—
253Q8×C31—42no—
254Q8×C31—42no—
255Q8×C31—44no—
256Q8×C31—44no—
257Q8×C31—42no—
258D4×C31—22no—
259D4×C31—24no—
260D4×C31—24no—
261D4×C31—22no—
262D4×C31—42no—
263D4×C31—42no—
264D4×C31—44no—
265D4×C31—42no—
266D4×C31—42no—
267D4×C31—44no—
268D4×C31—44no—
269D4×C31—42no—
270C2×C4×C31—22no—
271C2×C4×C31—24no—
272C2×C4×C31—42no—
273C2×C4×C31—42no—
274C2×C4×C31—42no—
275C2×C4×C31—44no—
276C2×C4×C31—44no—
277C2×C4×C31—42no—
278C2×C4×C31—42no—
279C2×C4×C31—44no—
280C2×C4×C31#12012yes—
281C2×C4×C31#12012yes—
282C2×C4×C31#12012yes—
283C2×C4×C31#12012yes—
284C2×C4×C31#12012yes—
285C2×C4×C31#12012yes—
286C2×C4×C31#12111yescharacteristic
287C2×C4×C31#12112yes—
288C2×C4×C31#12111yescharacteristic
289C2×C4×C31#12112yes—
290C2×C4×C31#12712yes—
291C2×C4×C31#12712yes—
292C2×C4×C31C22×D411yescharacteristic
293C2×C4×C31C22×D411yescharacteristic
294C2×C4×C31C22×D411yescharacteristic
295C2×C4×C31C22×D411yescharacteristic
296C2×C4×C31C22×D411yescharacteristic
297C2×C4×C31C22×D411yescharacteristic
298C8×C31—24no—
299C8×C31—24no—
300C8×C31—24no—
301C8×C31—42no—
302C22×#137C2×C3111yescharacteristic, complemented
303C22×AGL(1,ℤ/8)C2×C3111yescharacteristic
304C23×SD16C2×C3111yescharacteristic, complemented
305C22×#101C2×C3111yescharacteristic, complemented
306C22×#100C2×C3111yescharacteristic, complemented
307C2×#408C2×C3111yescharacteristic, complemented
308#2019C2×C3118yesdirect product factor
309C2×#341C2×C3111yescharacteristic, complemented
310C22×C31—24no—
311C22×C31—24no—
312C22×C31—22no—
313C22×C31—22no—
314C22×C31—42no—
315C22×C31—44no—
316C22×C31—44no—
317C22×C31—84no—
318C22×C31—84no—
319C22×C31—88no—
320C22×C31—84no—
321C22×C31—88no—
322C22×C31—84no—
323C22×C31#39212yes—
324C22×C31#39212yes—
325C22×C31#47114yes—
326C22×C31C2×#12111yescharacteristic
327C22×C31C2×#12111yescharacteristic
328C22×C31C2×#12111yescharacteristic
329C4×C31—42no—
330C4×C31—44no—
331C4×C31#39212yes—
332C4×C31#39212yes—
333C4×C31C2×#12011yescharacteristic
334C4×C31C2×#12011yescharacteristic
335C4×C31C2×#12011yescharacteristic
336C4×C31C2×#12711yescharacteristic
337C22×#41C22×C3111yescharacteristic
338C23×Q8C22×C3111yescharacteristic
339C23×D4C22×C3111yescharacteristic
340C2×#137—22no—
341C2×#137—24no—
342C2×#137—24no—
343C2×#137C22×C3114yescomplemented
344C2×AGL(1,ℤ/8)—22no—
345C2×AGL(1,ℤ/8)—24no—
346C2×AGL(1,ℤ/8)—24no—
347C2×AGL(1,ℤ/8)C22×C3114yes—
348C22×Q16—21no—
349C22×SD16—24no—
350C22×SD16—21no—
351C22×SD16—24no—
352C22×SD16—21no—
353C22×SD16—22no—
354C22×SD16—22no—
355C22×SD16C22×C3114yescomplemented
356C22×D8—21no—
357C22×M16C22×C3111yescharacteristic
358C22×M16C22×C3111yescharacteristic
359C22×M16C22×C3111yescharacteristic
360C23×C8C22×C3111yescharacteristic
361C2×#101—24no—
362C2×#101C22×C3114yescomplemented
363C2×#100—24no—
364C2×#100C22×C3114yescomplemented
365#408—22no—
366#408C22×C3114yescomplemented
367C2×C22⋊C8—22no—
368#341C22×C3114yescomplemented
369C2×C31—21no—
370C2×C31—21no—
371C2×C31—22no—
372C2×C31—82no—
373C2×C31—84no—
374C2×C31#201914yesdirect product factor
375C2×C31C2×#39211yescharacteristic
376C2×C31C2×#47112yes—
377C25—21no—
378C2×#41—21no—
379C2×#41—21no—
380C2×#41—22no—
381C2×#41—22no—
382C2×#41—22no—
383C2×#41—22no—
384C2×#41D4×C3112yes—
385C2×#41C23×C3112yes—
386C22×Q8—22no—
387C22×Q8—21no—
388C22×Q8—22no—
389C22×Q8—21no—
390C22×Q8—21no—
391C22×Q8—21no—
392C22×Q8—21no—
393C22×Q8—22no—
394C22×Q8D4×C3111yescharacteristic
395C22×Q8D4×C3114yes—
396C22×Q8C23×C3112yes—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—22no—
400C22×D4—21no—
401C22×D4—21no—
402C22×D4—21no—
403C22×D4—22no—
404C22×D4—22no—
405C22×D4—21no—
406C22×D4D4×C3111yescharacteristic
407C22×D4D4×C3114yes—
408C22×D4C23×C3112yes—
409C23×C4—21no—
410C23×C4—21no—
411C23×C4C23×C3111yescharacteristic
412#137—216no—
413#137—28no—
414#137—28no—
415AGL(1,ℤ/8)—216no—
416AGL(1,ℤ/8)—28no—
417AGL(1,ℤ/8)—28no—
418C2×Q16—28no—
419C2×Q16—24no—
420C2×SD16—216no—
421C2×SD16—216no—
422C2×SD16—28no—
423C2×SD16—28no—
424C2×SD16—28no—
425C2×SD16—24no—
426C2×SD16—28no—
427C2×SD16—24no—
428C2×SD16—28no—
429C2×D8—28no—
430C2×D8—24no—
431C2×M16—22no—
432C2×M16—21no—
433C2×M16—22no—
434C2×M16—21no—
435C2×M16—21no—
436C2×M16—22no—
437C2×M16—22no—
438C2×M16D4×C3114yes—
439C2×M16D4×C3114yes—
440C2×M16C23×C3112yes—
441C2×M16C23×C3112yes—
442C2×M16C23×C3112yes—
443C22×C8—22no—
444C22×C8—22no—
445C22×C8—21no—
446C22×C8—21no—
447C22×C8—21no—
448C22×C8D4×C3112yes—
449C22×C8D4×C3112yes—
450C22×C8C23×C3112yes—
451#101—28no—
452#100—28no—
453C22⋊C8—28no—
454C31C2×#201911yescharacteristic, direct product factor, Sylow
455C24—21no—
456C24—24no—
457C24—22no—
458C24—42no—
459C24—41no—
460C24—41no—
461C24—84no—
462C24#41×C3111yescharacteristic
463#41—24no—
464#41—24no—
465#41—22no—
466#41—22no—
467#41—22no—
468#41—22no—
469#41—42no—
470#41—42no—
471#41—42no—
472#41—42no—
473C2×Q8—24no—
474C2×Q8—21no—
475C2×Q8—22no—
476C2×Q8—24no—
477C2×Q8—24no—
478C2×Q8—22no—
479C2×Q8—24no—
480C2×Q8—22no—
481C2×Q8—24no—
482C2×Q8—22no—
483C2×Q8—22no—
484C2×Q8—22no—
485C2×Q8—22no—
486C2×Q8—42no—
487C2×Q8—42no—
488C2×Q8—41no—
489C2×Q8—42no—
490C2×Q8—41no—
491C2×Q8—42no—
492C2×Q8—42no—
493C2×Q8C2×D4×C3112yes—
494C2×Q8C2×D4×C3114yes—
495C2×D4—22no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—24no—
499C2×D4—24no—
500C2×D4—24no—
501C2×D4—22no—
502C2×D4—24no—
503C2×D4—24no—
504C2×D4—21no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—42no—
511C2×D4—42no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4—41no—
515C2×D4—41no—
516C2×D4—42no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4C2×D4×C3112yes—
520C2×D4C2×D4×C3114yes—
521C22×C4—21no—
522C22×C4—24no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—41no—
527C22×C4—42no—
528C22×C4—41no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4C2×D4×C3111yescharacteristic
532C22×C4C2×D4×C3112yes—
533C22×C4C2×D4×C3112yes—
534C22×C4C2×D4×C3111yescharacteristic
535C22×C4C2×D4×C3111yescharacteristic
536C22×C4C2×D4×C3111yescharacteristic
537C22×C4C2×D4×C3112yes—
538C22×C4C2×D4×C3112yes—
539C22×C4#41×C3111yescharacteristic
540C22×C4C24×C3111yescharacteristic
541Q16—216no—
542SD16—232no—
543SD16—216no—
544SD16—216no—
545D8—216no—
546M16—24no—
547M16—24no—
548M16—22no—
549M16—22no—
550M16—22no—
551M16—22no—
552M16—42no—
553M16C2×D4×C3114yes—
554M16C2×D4×C3114yes—
555C2×C8—24no—
556C2×C8—24no—
557C2×C8—24no—
558C2×C8—24no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—22no—
564C2×C8—42no—
565C2×C8C2×D4×C3114yes—
566C23—24no—
567C23—22no—
568C23—24no—
569C23—44no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—44no—
574C23—44no—
575C23—88no—
576C23—84no—
577C23—88no—
578C23—84no—
579C23—84no—
580C23C31×#12112yes—
581C23C31×#12111yescharacteristic
582C23C31×#12112yes—
583C23C31×#12111yescharacteristic
584C23C2×#41×C3111yescharacteristic
585Q8—24no—
586Q8—22no—
587Q8—24no—
588Q8—22no—
589Q8—42no—
590Q8—42no—
591Q8—44no—
592Q8—44no—
593Q8—42no—
594D4—22no—
595D4—24no—
596D4—24no—
597D4—22no—
598D4—42no—
599D4—42no—
600D4—44no—
601D4—42no—
602D4—42no—
603D4—44no—
604D4—44no—
605D4—42no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—44no—
612C2×C4—44no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—44no—
616C2×C4C31×#12012yes—
617C2×C4C31×#12012yes—
618C2×C4C31×#12012yes—
619C2×C4C31×#12012yes—
620C2×C4C31×#12012yes—
621C2×C4C31×#12012yes—
622C2×C4C31×#12111yescharacteristic
623C2×C4C31×#12112yes—
624C2×C4C31×#12111yescharacteristic
625C2×C4C31×#12112yes—
626C2×C4C31×#12712yes—
627C2×C4C31×#12712yes—
628C2×C4C22×D4×C3111yescharacteristic
629C2×C4C22×D4×C3111yescharacteristic
630C2×C4C22×D4×C3111yescharacteristic
631C2×C4C22×D4×C3111yescharacteristic
632C2×C4C22×D4×C3111yescharacteristic
633C2×C4C22×D4×C3111yescharacteristic
634C8—24no—
635C8—24no—
636C8—24no—
637C8—42no—
638C22—24no—
639C22—24no—
640C22—22no—
641C22—22no—
642C22—42no—
643C22—44no—
644C22—44no—
645C22—84no—
646C22—84no—
647C22—88no—
648C22—84no—
649C22—88no—
650C22—84no—
651C22C31×#39212yes—
652C22C31×#39212yes—
653C22C31×#47114yes—
654C22C2×C31×#12111yescharacteristic
655C22C2×C31×#12111yescharacteristic
656C22C2×C31×#12111yescharacteristic
657C4—42no—
658C4—44no—
659C4C31×#39212yes—
660C4C31×#39212yes—
661C4C2×C31×#12011yescharacteristic
662C4C2×C31×#12011yescharacteristic
663C4C2×C31×#12011yescharacteristic
664C4C2×C31×#12711yescharacteristic
665C2—21no—
666C2—21no—
667C2—22no—
668C2—82no—
669C2—84no—
670C2C31×#201914yesdirect product factor
671C2C2×C31×#39211yescharacteristic
672C2C2×C31×#47112yes—
subgroupG/H
center, socleC23×C31#121
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC22×C31×AGL(1,ℤ/8)C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C31×#137C2semidirect
3. C23×SD16×C31C2semidirect
4. C22×C31×#101C2semidirect
5. C22×C31×#100C2semidirect
6. C2×C31×#408C2semidirect
7. C31×#2019C2direct (N × H)
8. C2×C31×#341C2semidirect
15. C2×C31×#137C22semidirect
27. C22×SD16×C31C22semidirect
34. C2×C31×#101C22semidirect
36. C2×C31×#100C22semidirect
38. C31×#408C22semidirect
40. C31×#341C22semidirect
229. C2×#2019C31direct (N × H)
302. C22×#137C2×C31semidirect
304. C23×SD16C2×C31semidirect
305. C22×#101C2×C31semidirect
306. C22×#100C2×C31semidirect
307. C2×#408C2×C31semidirect
308. #2019C2×C31direct (N × H)
309. C2×#341C2×C31semidirect
343. C2×#137C22×C31semidirect
355. C22×SD16C22×C31semidirect
362. C2×#101C22×C31semidirect
364. C2×#100C22×C31semidirect
366. #408C22×C31semidirect
368. #341C22×C31semidirect
374. C2×C31#2019direct (N × H)
454. C31C2×#2019direct (N × H)
670. C2C31×#2019direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C31×#1372
C22×C31×AGL(1,ℤ/8)2
C23×SD16×C312
C22×C31×#1012
C22×C31×#1002
C2×C31×#4082
C31×#20192
C2×C31×#3412
C2×#201931