Finite Group Databasebeta

← C31×#21004 #21477763

Subgroups — C31×#21004 #21477763

Order 7936.

1686 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#575C211yesmaximal, characteristic
2C2×C31×#568C211yesmaximal, characteristic, complemented
3C2×C31×#417C211yesmaximal, characteristic, complemented
4C2×C31×#417C211yesmaximal, characteristic, complemented
5C2×C31×#413C211yesmaximal, characteristic, complemented
6C31×#1908C214yesmaximal, complemented
7C31×#1907C214yesmaximal, complemented
8C2×C31×#343C211yesmaximal, characteristic, complemented
9C31×#1738C211yesmaximal, characteristic, complemented
10C22×#41×C31C2211yescharacteristic
11C22×#41×C31C2211yescharacteristic
12C31×#575—24no—
13C31×#575C418yescomplemented
14C2×C31×#137—21no—
15C2×C31×#137C2212yes—
16C2×C31×AGL(1,ℤ/8)—21no—
17C2×C31×AGL(1,ℤ/8)C2212yes—
18C2×C31×#135—22no—
19C31×#568—24no—
20C31×#568—24no—
21C2×C31×#131—22no—
22C2×C31×#131C2214yes—
23C22×M16×C31—22no—
24C22×M16×C31C2211yescharacteristic
25C22×M16×C31C2211yescharacteristic
26C22×M16×C31C2211yescharacteristic
27C22×M16×C31C2211yescharacteristic
28C22×C4⋊C4×C31C2211yescharacteristic
29C31×#417—22no—
30C31×#417—22no—
31C31×#417—22no—
32C31×#417C2214yes—
33C2×C31×#103—21no—
34C2×C31×#103C2212yescomplemented
35C2×C31×#102—21no—
36C2×C31×#102C2212yescomplemented
37C31×#413—24no—
38C2×C31×#101C2212yescomplemented
39C2×C31×#100C2212yescomplemented
40C31×#343C2214yescomplemented
41C31×#341C2214yescomplemented
42C2×#41×C31—21no—
43C2×#41×C31—22no—
44C2×#41×C31—22no—
45C2×#41×C31—22no—
46C2×#41×C31—21no—
47C2×#41×C31—21no—
48C2×#41×C31—21no—
49C2×#41×C31—21no—
50C2×#41×C31—21no—
51C2×#41×C31—22no—
52C2×#41×C31—22no—
53C2×#41×C31C2×C414yes—
54C2×#41×C31C2×C414yes—
55C2×#41×C31D414yes—
56C2×#41×C31D412yes—
57C2×#41×C31C2312yes—
58C22×Q8×C31D411yescharacteristic
59C22×Q8×C31C2311yescharacteristic
60C22×D4×C31—21no—
61C22×D4×C31—21no—
62C22×D4×C31D411yescharacteristic
63C22×D4×C31C2311yescharacteristic
64C23×C4×C31—21no—
65C23×C4×C31—21no—
66C23×C4×C31—21no—
67C23×C4×C31C2311yescharacteristic
68C31×#137—24no—
69C31×#137—28no—
70C31×#137C2×C418yescomplemented
71C31×AGL(1,ℤ/8)—24no—
72C31×AGL(1,ℤ/8)—28no—
73C31×AGL(1,ℤ/8)C2×C418yescomplemented
74C31×#135—216no—
75C2×Q16×C31—22no—
76C2×SD16×C31—22no—
77C2×SD16×C31—22no—
78C2×D8×C31—22no—
79C31×#131—216no—
80C31×#131—28no—
81C31×#131—28no—
82C2×M16×C31—216no—
83C2×M16×C31—21no—
84C2×M16×C31—22no—
85C2×M16×C31—22no—
86C2×M16×C31—22no—
87C2×M16×C31—21no—
88C2×M16×C31—22no—
89C2×M16×C31—21no—
90C2×M16×C31—24no—
91C2×M16×C31—22no—
92C2×M16×C31—22no—
93C2×M16×C31C2×C414yes—
94C2×M16×C31D414yes—
95C2×M16×C31D412yes—
96C2×M16×C31D412yes—
97C2×M16×C31C2312yes—
98C2×M16×C31C2312yes—
99C2×M16×C31C2312yes—
100C22×C8×C31—21no—
101C22×C8×C31—21no—
102C22×C8×C31—24no—
103C22×C8×C31—21no—
104C22×C8×C31C2312yes—
105C2×C4⋊C4×C31—21no—
106C2×C4⋊C4×C31—21no—
107C2×C4⋊C4×C31—21no—
108C2×C4⋊C4×C31—21no—
109C2×C4⋊C4×C31—21no—
110C2×C4⋊C4×C31C2312yes—
111C31×#103—24no—
112C31×#103—24no—
113C31×#102—24no—
114C31×#102—24no—
115C31×#101—24no—
116C31×#100—24no—
117C24×C31—21no—
118C24×C31—21no—
119C24×C31#4111yescharacteristic
120#41×C31—24no—
121#41×C31—24no—
122#41×C31—24no—
123#41×C31—24no—
124#41×C31—24no—
125#41×C31—22no—
126#41×C31—22no—
127#41×C31—24no—
128#41×C31—24no—
129#41×C31—24no—
130#41×C31—24no—
131#41×C31—42no—
132#41×C31—42no—
133#41×C31—42no—
134#41×C31—42no—
135#41×C31C22⋊C418yes—
136#41×C31C22×C414yes—
137#41×C31C2×D414yes—
138C2×Q8×C31—21no—
139C2×Q8×C31—22no—
140C2×Q8×C31—21no—
141C2×Q8×C31—21no—
142C2×Q8×C31—21no—
143C2×Q8×C31—21no—
144C2×Q8×C31—21no—
145C2×Q8×C31C22⋊C414yes—
146C2×Q8×C31C22×C412yes—
147C2×Q8×C31C2×D412yes—
148C2×D4×C31—24no—
149C2×D4×C31—22no—
150C2×D4×C31—24no—
151C2×D4×C31—22no—
152C2×D4×C31—24no—
153C2×D4×C31—22no—
154C2×D4×C31—21no—
155C2×D4×C31—21no—
156C2×D4×C31—21no—
157C2×D4×C31—21no—
158C2×D4×C31—21no—
159C2×D4×C31—21no—
160C2×D4×C31—41no—
161C2×D4×C31—41no—
162C2×D4×C31—42no—
163C2×D4×C31C22⋊C414yes—
164C2×D4×C31C22×C412yes—
165C2×D4×C31C2×D412yes—
166C22×C4×C31—21no—
167C22×C4×C31—24no—
168C22×C4×C31—24no—
169C22×C4×C31—22no—
170C22×C4×C31—22no—
171C22×C4×C31—21no—
172C22×C4×C31—24no—
173C22×C4×C31—22no—
174C22×C4×C31—41no—
175C22×C4×C31—41no—
176C22×C4×C31—42no—
177C22×C4×C31—41no—
178C22×C4×C31—41no—
179C22×C4×C31—82no—
180C22×C4×C31C22×C412yes—
181C22×C4×C31C2×D412yes—
182C22×C4×C31C2×D411yescharacteristic
183C22×C4×C31C2×D411yescharacteristic
184C22×C4×C31C2×D411yescharacteristic
185C22×C4×C31C2×D411yescharacteristic
186C22×C4×C31C2×D412yes—
187C22×C4×C31#4111yescharacteristic
188C22×C4×C31#4112yes—
189C22×C4×C31C2411yescharacteristic
190Q16×C31—28no—
191SD16×C31—28no—
192SD16×C31—28no—
193D8×C31—28no—
194M16×C31—216no—
195M16×C31—24no—
196M16×C31—24no—
197M16×C31—24no—
198M16×C31—24no—
199M16×C31—22no—
200M16×C31—22no—
201M16×C31—22no—
202M16×C31—22no—
203M16×C31—42no—
204M16×C31C22×C414yes—
205M16×C31C2×D414yes—
206C2×C8×C31—216no—
207C2×C8×C31—24no—
208C2×C8×C31—24no—
209C2×C8×C31—22no—
210C2×C8×C31—22no—
211C2×C8×C31—22no—
212C2×C8×C31—22no—
213C2×C8×C31—22no—
214C2×C8×C31—42no—
215C2×C8×C31C2×D414yes—
216C4⋊C4×C31—22no—
217C4⋊C4×C31—22no—
218C4⋊C4×C31—41no—
219C4⋊C4×C31—41no—
220#21004C3111yesmaximal, characteristic, direct product factor, Sylow
221C23×C31—22no—
222C23×C31—24no—
223C23×C31—22no—
224C23×C31—41no—
225C23×C31—41no—
226C23×C31—41no—
227C23×C31—41no—
228C23×C31—81no—
229C23×C31—81no—
230C23×C31—81no—
231C23×C31—81no—
232C23×C31C4×D412yes—
233C23×C31#12111yescharacteristic
234C23×C31#12111yescharacteristic
235C23×C31#12312yes—
236C23×C31C2×#4111yescharacteristic
237Q8×C31—22no—
238Q8×C31—24no—
239Q8×C31—22no—
240Q8×C31—22no—
241Q8×C31—41no—
242Q8×C31—41no—
243Q8×C31C2×C22⋊C414yes—
244D4×C31—24no—
245D4×C31—24no—
246D4×C31—28no—
247D4×C31—22no—
248D4×C31—22no—
249D4×C31—22no—
250D4×C31—24no—
251D4×C31—44no—
252D4×C31—44no—
253D4×C31—41no—
254D4×C31—41no—
255D4×C31C2×C22⋊C414yes—
256C2×C4×C31—22no—
257C2×C4×C31—24no—
258C2×C4×C31—24no—
259C2×C4×C31—24no—
260C2×C4×C31—28no—
261C2×C4×C31—22no—
262C2×C4×C31—41no—
263C2×C4×C31—41no—
264C2×C4×C31—44no—
265C2×C4×C31—44no—
266C2×C4×C31—42no—
267C2×C4×C31—82no—
268C2×C4×C31—82no—
269C2×C4×C31—82no—
270C2×C4×C31C2×C22⋊C412yes—
271C2×C4×C31C2×C22⋊C412yes—
272C2×C4×C31C4×D412yes—
273C2×C4×C31C4×D412yes—
274C2×C4×C31C4×D412yes—
275C2×C4×C31#12012yes—
276C2×C4×C31#12012yes—
277C2×C4×C31#12112yes—
278C2×C4×C31#12112yes—
279C2×C4×C31#12111yescharacteristic
280C2×C4×C31#12111yescharacteristic
281C2×C4×C31#12312yes—
282C2×C4×C31C23×C411yescharacteristic
283C2×C4×C31C22×D411yescharacteristic
284C2×C4×C31C22×D411yescharacteristic
285C2×C4×C31C22×D411yescharacteristic
286C2×C4×C31C22×D411yescharacteristic
287C2×C4×C31C2×#4111yescharacteristic
288C8×C31—24no—
289C8×C31—24no—
290C8×C31—24no—
291C8×C31—42no—
292C2×#575C2×C3111yescharacteristic
293C2×#568C2×C3111yescharacteristic, complemented
294C2×#417C2×C3111yescharacteristic, complemented
295C2×#417C2×C3111yescharacteristic, complemented
296C2×#413C2×C3111yescharacteristic, complemented
297#1908C2×C3114yescomplemented
298#1907C2×C3114yescomplemented
299C2×#343C2×C3111yescharacteristic, complemented
300#1738C2×C3111yescharacteristic, complemented
301C22×C31—21no—
302C22×C31—21no—
303C22×C31—21no—
304C22×C31—21no—
305C22×C31—21no—
306C22×C31—21no—
307C22×C31—24no—
308C22×C31—42no—
309C22×C31—42no—
310C22×C31—42no—
311C22×C31—42no—
312C22×C31—42no—
313C22×C31—84no—
314C22×C31—82no—
315C22×C31—82no—
316C22×C31—81no—
317C22×C31—81no—
318C22×C31#38612yes—
319C22×C31#38612yes—
320C22×C31C2×C4×D411yescharacteristic
321C22×C31C2×#12111yescharacteristic
322C22×C31C2×#12311yescharacteristic
323C4×C31—24no—
324C4×C31—42no—
325C4×C31—82no—
326C4×C31#38612yes—
327C4×C31#38612yes—
328C4×C31C22×C22⋊C411yescharacteristic
329C4×C31C2×C4×D411yescharacteristic
330C4×C31C2×#12011yescharacteristic
331C4×C31C2×#12111yescharacteristic
332C22×#41C22×C3111yescharacteristic
333C22×#41C22×C3111yescharacteristic
334#575—24no—
335#575C4×C3118yescomplemented
336C2×#137—21no—
337C2×#137C22×C3112yes—
338C2×AGL(1,ℤ/8)—21no—
339C2×AGL(1,ℤ/8)C22×C3112yes—
340C2×#135—22no—
341#568—24no—
342#568—24no—
343C2×#131—22no—
344C2×#131C22×C3114yes—
345C22×M16—22no—
346C22×M16C22×C3111yescharacteristic
347C22×M16C22×C3111yescharacteristic
348C22×M16C22×C3111yescharacteristic
349C22×M16C22×C3111yescharacteristic
350C22×C4⋊C4C22×C3111yescharacteristic
351#417—22no—
352#417—22no—
353#417—22no—
354#417C22×C3114yes—
355C2×#103—21no—
356C2×#103C22×C3112yescomplemented
357C2×#102—21no—
358C2×#102C22×C3112yescomplemented
359#413—24no—
360C2×#101C22×C3112yescomplemented
361C2×#100C22×C3112yescomplemented
362#343C22×C3114yescomplemented
363#341C22×C3114yescomplemented
364C2×C31—21no—
365C2×C31—21no—
366C2×C31—22no—
367C2×C31—22no—
368C2×C31—44no—
369C2×C31—82no—
370C2×C31C2×#38611yescharacteristic
371C2×C31#306811yescharacteristic
372C2×C31#306911yescharacteristic
373C2×#41—21no—
374C2×#41—22no—
375C2×#41—22no—
376C2×#41—22no—
377C2×#41—21no—
378C2×#41—21no—
379C2×#41—21no—
380C2×#41—22no—
381C2×#41—21no—
382C2×#41—21no—
383C2×#41—22no—
384C2×#41C2×C4×C3114yes—
385C2×#41C2×C4×C3114yes—
386C2×#41D4×C3114yes—
387C2×#41D4×C3112yes—
388C2×#41C23×C3112yes—
389C22×Q8D4×C3111yescharacteristic
390C22×Q8C23×C3111yescharacteristic
391C22×D4—21no—
392C22×D4—21no—
393C22×D4D4×C3111yescharacteristic
394C22×D4C23×C3111yescharacteristic
395C23×C4—21no—
396C23×C4—21no—
397C23×C4—21no—
398C23×C4C23×C3111yescharacteristic
399#137—24no—
400#137—28no—
401#137C2×C4×C3118yescomplemented
402AGL(1,ℤ/8)—24no—
403AGL(1,ℤ/8)—28no—
404AGL(1,ℤ/8)C2×C4×C3118yescomplemented
405#135—216no—
406C2×Q16—22no—
407C2×SD16—22no—
408C2×SD16—22no—
409C2×D8—22no—
410#131—216no—
411#131—28no—
412#131—28no—
413C2×M16—216no—
414C2×M16—21no—
415C2×M16—22no—
416C2×M16—22no—
417C2×M16—22no—
418C2×M16—21no—
419C2×M16—22no—
420C2×M16—21no—
421C2×M16—24no—
422C2×M16—22no—
423C2×M16—22no—
424C2×M16C2×C4×C3114yes—
425C2×M16D4×C3114yes—
426C2×M16D4×C3112yes—
427C2×M16D4×C3112yes—
428C2×M16C23×C3112yes—
429C2×M16C23×C3112yes—
430C2×M16C23×C3112yes—
431C22×C8—21no—
432C22×C8—21no—
433C22×C8—24no—
434C22×C8—21no—
435C22×C8C23×C3112yes—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4C23×C3112yes—
442#103—24no—
443#103—24no—
444#102—24no—
445#102—24no—
446#101—24no—
447#100—24no—
448C31#2100411yescharacteristic, direct product factor, Sylow
449C24—21no—
450C24—21no—
451C24#41×C3111yescharacteristic
452#41—24no—
453#41—24no—
454#41—24no—
455#41—24no—
456#41—24no—
457#41—22no—
458#41—22no—
459#41—24no—
460#41—24no—
461#41—24no—
462#41—24no—
463#41—42no—
464#41—42no—
465#41—42no—
466#41—42no—
467#41C22⋊C4×C3118yes—
468#41C22×C4×C3114yes—
469#41C2×D4×C3114yes—
470C2×Q8—21no—
471C2×Q8—22no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8C22⋊C4×C3114yes—
478C2×Q8C22×C4×C3112yes—
479C2×Q8C2×D4×C3112yes—
480C2×D4—24no—
481C2×D4—22no—
482C2×D4—24no—
483C2×D4—22no—
484C2×D4—24no—
485C2×D4—22no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—41no—
493C2×D4—41no—
494C2×D4—42no—
495C2×D4C22⋊C4×C3114yes—
496C2×D4C22×C4×C3112yes—
497C2×D4C2×D4×C3112yes—
498C22×C4—21no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—42no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—82no—
512C22×C4C22×C4×C3112yes—
513C22×C4C2×D4×C3112yes—
514C22×C4C2×D4×C3111yescharacteristic
515C22×C4C2×D4×C3111yescharacteristic
516C22×C4C2×D4×C3111yescharacteristic
517C22×C4C2×D4×C3111yescharacteristic
518C22×C4C2×D4×C3112yes—
519C22×C4#41×C3111yescharacteristic
520C22×C4#41×C3112yes—
521C22×C4C24×C3111yescharacteristic
522Q16—28no—
523SD16—28no—
524SD16—28no—
525D8—28no—
526M16—216no—
527M16—24no—
528M16—24no—
529M16—24no—
530M16—24no—
531M16—22no—
532M16—22no—
533M16—22no—
534M16—22no—
535M16—42no—
536M16C22×C4×C3114yes—
537M16C2×D4×C3114yes—
538C2×C8—216no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—42no—
547C2×C8C2×D4×C3114yes—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—41no—
551C4⋊C4—41no—
552C23—22no—
553C23—24no—
554C23—22no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—81no—
560C23—81no—
561C23—81no—
562C23—81no—
563C23C4×D4×C3112yes—
564C23C31×#12111yescharacteristic
565C23C31×#12111yescharacteristic
566C23C31×#12312yes—
567C23C2×#41×C3111yescharacteristic
568Q8—22no—
569Q8—24no—
570Q8—22no—
571Q8—22no—
572Q8—41no—
573Q8—41no—
574Q8C2×C22⋊C4×C3114yes—
575D4—24no—
576D4—24no—
577D4—28no—
578D4—22no—
579D4—22no—
580D4—22no—
581D4—24no—
582D4—44no—
583D4—44no—
584D4—41no—
585D4—41no—
586D4C2×C22⋊C4×C3114yes—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—28no—
592C2×C4—22no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—44no—
596C2×C4—44no—
597C2×C4—42no—
598C2×C4—82no—
599C2×C4—82no—
600C2×C4—82no—
601C2×C4C2×C22⋊C4×C3112yes—
602C2×C4C2×C22⋊C4×C3112yes—
603C2×C4C4×D4×C3112yes—
604C2×C4C4×D4×C3112yes—
605C2×C4C4×D4×C3112yes—
606C2×C4C31×#12012yes—
607C2×C4C31×#12012yes—
608C2×C4C31×#12112yes—
609C2×C4C31×#12112yes—
610C2×C4C31×#12111yescharacteristic
611C2×C4C31×#12111yescharacteristic
612C2×C4C31×#12312yes—
613C2×C4C23×C4×C3111yescharacteristic
614C2×C4C22×D4×C3111yescharacteristic
615C2×C4C22×D4×C3111yescharacteristic
616C2×C4C22×D4×C3111yescharacteristic
617C2×C4C22×D4×C3111yescharacteristic
618C2×C4C2×#41×C3111yescharacteristic
619C8—24no—
620C8—24no—
621C8—24no—
622C8—42no—
623C22—21no—
624C22—21no—
625C22—21no—
626C22—21no—
627C22—21no—
628C22—21no—
629C22—24no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—84no—
636C22—82no—
637C22—82no—
638C22—81no—
639C22—81no—
640C22C31×#38612yes—
641C22C31×#38612yes—
642C22C2×C4×D4×C3111yescharacteristic
643C22C2×C31×#12111yescharacteristic
644C22C2×C31×#12311yescharacteristic
645C4—24no—
646C4—42no—
647C4—82no—
648C4C31×#38612yes—
649C4C31×#38612yes—
650C4C22×C22⋊C4×C3111yescharacteristic
651C4C2×C4×D4×C3111yescharacteristic
652C4C2×C31×#12011yescharacteristic
653C4C2×C31×#12111yescharacteristic
654C2—21no—
655C2—21no—
656C2—22no—
657C2—22no—
658C2—44no—
659C2—82no—
660C2C2×C31×#38611yescharacteristic
661C2C31×#306811yescharacteristic
662C2C31×#306911yescharacteristic
subgroupG/H
center, socleC22×C31C2×#121
commutatorC2×C4C23×C4×C31
Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#575C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C31×#568C2semidirect
3. C2×C31×#417C2semidirect
4. C2×C31×#417C2semidirect
5. C2×C31×#413C2semidirect
6. C31×#1908C2semidirect
7. C31×#1907C2semidirect
8. C2×C31×#343C2semidirect
9. C31×#1738C2semidirect
13. C31×#575C4semidirect
34. C2×C31×#103C22semidirect
36. C2×C31×#102C22semidirect
38. C2×C31×#101C22semidirect
39. C2×C31×#100C22semidirect
40. C31×#343C22semidirect
41. C31×#341C22semidirect
70. C31×#137C2×C4semidirect
73. C31×AGL(1,ℤ/8)C2×C4semidirect
220. #21004C31direct (N × H)
293. C2×#568C2×C31semidirect
294. C2×#417C2×C31semidirect
295. C2×#417C2×C31semidirect
296. C2×#413C2×C31semidirect
297. #1908C2×C31semidirect
298. #1907C2×C31semidirect
299. C2×#343C2×C31semidirect
300. #1738C2×C31semidirect
335. #575C4×C31semidirect
356. C2×#103C22×C31semidirect
358. C2×#102C22×C31semidirect
360. C2×#101C22×C31semidirect
361. C2×#100C22×C31semidirect
362. #343C22×C31semidirect
363. #341C22×C31semidirect
401. #137C2×C4×C31semidirect
404. AGL(1,ℤ/8)C2×C4×C31semidirect
448. C31#21004direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#5752
C2×C31×#5682
C2×C31×#4172
C2×C31×#4132
C31×#19082
C31×#19072
C2×C31×#3432
C31×#17382
#2100431