Finite Group Databasebeta

← C3×C4×#4088 #14416827

Subgroups — C3×C4×#4088 #14416827

Order 1920.

968 conjugacy classes of subgroups.

The subgroup lattice has 576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×C5×Q8C211yesmaximal, characteristic, complemented
2C2×C3×#4088C211yesmaximal, characteristic
3C3×C4×#709C211yesmaximal, characteristic
4C3×#65514C211yesmaximal, characteristic, complemented
5C3×#65319C212yesmaximal, complemented
6C3×C4×#689C212yesmaximal, complemented
7C3×#65315C212yesmaximal, complemented
8C3×C4×#688C212yesmaximal, complemented
9C3×#65255C211yesmaximal, characteristic
10C3×#65253C211yesmaximal, characteristic, complemented
11C3×C4×#681C211yesmaximal, characteristic, complemented
12C4×#4088C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×Q8C2211yescharacteristic
14C2×C3×#709C2211yescharacteristic
15C3×C4×C5×Q8—21no—
16C3×C4×C5×Q8—21no—
17C3×C4×C5×Q8C2212yes—
18C3×C4×C5×Q8C2212yes—
19C2×C3×C5×C4⋊C4—21no—
20C2×C3×C5×C4⋊C4C2211yescharacteristic
21C2×C3×C42×C5—21no—
22C2×C3×C42×C5C2211yescharacteristic
23C2×C3×#689C2212yes—
24C3×#4088C418yesdirect product factor
25C2×C3×#688C2212yes—
26C3×C4×C22⋊D5—21no—
27C3×C4×C22⋊D5—21no—
28C3×#4072C2211yescharacteristic
29C2×C3×#681C2211yescharacteristic
30C2×C3×#681C2211yescharacteristic
31C3×C4×D20C2211yescharacteristic
32C3×C4×D20C2211yescharacteristic
33C3×#4018—21no—
34C3×C42×D5—21no—
35C3×C4×Dic10C2211yescharacteristic
36C3×C4×Dic10C2211yescharacteristic
37C3×#3967C2212yes—
38C3×#3967C2212yes—
39C3×#3942C2212yes—
40C3×#3941C2212yes—
41C3×#3940C2212yes—
42C3×#3939C2212yes—
43C3×#3935C2212yes—
44C3×C4×#168C2212yes—
45C3×C4×#137—51nomaximal, Hall
46C2×C4×C5×Q8C2×C311yescharacteristic, complemented
47C2×#4088C2×C311yescharacteristic
48C4×#709C2×C311yescharacteristic
49#65514C2×C311yescharacteristic, complemented
50#65319C2×C312yescomplemented
51C4×#689C2×C312yescomplemented
52#65315C2×C312yescomplemented
53C4×#688C2×C312yescomplemented
54#65255C2×C311yescharacteristic
55#65253C2×C311yescharacteristic, complemented
56C4×#681C2×C311yescharacteristic, complemented
57C2×C3×C5×Q8—21no—
58C2×C3×C5×Q8—22no—
59C2×C3×C5×Q8C2×C414yescomplemented
60C2×C3×C5×Q8C2312yes—
61C22×C3×C4×C5—21no—
62C22×C3×C4×C5—21no—
63C22×C3×C4×C5D411yescharacteristic
64C22×C3×C4×C5D411yescharacteristic
65C22×C3×C4×C5C2311yescharacteristic
66C2×C3×C22⋊D5—21no—
67C3×#709—22no—
68C3×#709C2×C414yes—
69C2×C3×D20C2311yescharacteristic
70C2×C3×C4×D5—21no—
71C2×C3×C4×D5—21no—
72C2×C3×C4×D5—21no—
73C2×C3×Dic10C2311yescharacteristic
74C3×C5×C4⋊C4—22no—
75C3×C5×C4⋊C4—22no—
76C3×C5×C4⋊C4—21no—
77C3×C5×C4⋊C4C2312yes—
78C3×C42×C5—22no—
79C3×C42×C5—22no—
80C3×C42×C5D411yescharacteristic
81C3×C42×C5D411yescharacteristic
82C3×C42×C5C2311yescharacteristic
83C3×C42×C5C2311yescharacteristic
84C3×C22⋊Dic5—21no—
85C3×#689C2×C418yescomplemented
86C3×#688C2×C418yescomplemented
87C3×#685—21no—
88C3×#685—21no—
89C3×C4⋊Dic5C2311yescharacteristic
90C3×C4⋊Dic5C2311yescharacteristic
91C3×#683—21no—
92C3×#683—21no—
93C3×C4×Dic5—21no—
94C3×C4×Dic5—21no—
95C3×C4×Dic5—21no—
96C3×#681—22no—
97C3×#681C2×C414yescomplemented
98C2×C3×#168C2312yes—
99C2×C3×#168C2312yes—
100C2×C3×#137—51no—
101C3×C4×#41—51no—
102C2×C3×C4×Q8D511yescharacteristic, complemented
103C3×#441—52no—
104C3×#440—52no—
105C3×C4×Q16—52no—
106C3×C4×SD16—52no—
107C3×#428—51no—
108C3×#419—51no—
109C3×#417—51no—
110C3×C4×M16—51no—
111C22×C5×Q8C22×C311yescharacteristic
112C2×#709C22×C311yescharacteristic
113C4×C5×Q8—21no—
114C4×C5×Q8—21no—
115C4×C5×Q8C22×C312yes—
116C4×C5×Q8C22×C312yes—
117C2×C5×C4⋊C4—21no—
118C2×C5×C4⋊C4C22×C311yescharacteristic
119C2×C42×C5—21no—
120C2×C42×C5C22×C311yescharacteristic
121C2×#689C22×C312yes—
122#4088C3×C418yesdirect product factor
123C2×#688C22×C312yes—
124C4×C22⋊D5—21no—
125C4×C22⋊D5—21no—
126#4072C22×C311yescharacteristic
127C2×#681C22×C311yescharacteristic
128C2×#681C22×C311yescharacteristic
129C4×D20C22×C311yescharacteristic
130C4×D20C22×C311yescharacteristic
131#4018—21no—
132C42×D5—21no—
133C4×Dic10C22×C311yescharacteristic
134C4×Dic10C22×C311yescharacteristic
135#3967C22×C312yes—
136#3967C22×C312yes—
137#3942C22×C312yes—
138#3941C22×C312yes—
139#3940C22×C312yes—
140#3939C22×C312yes—
141#3935C22×C312yes—
142C4×#168C22×C312yes—
143C4×#137—51noSylow
144C23×C3×C5C2×D411yescharacteristic
145C22×C3×D5—21no—
146C3×C5×Q8—24no—
147C3×C5×Q8—22no—
148C3×C5×Q8C22×C414yes—
149C2×C3×C4×C5—24no—
150C2×C3×C4×C5—22no—
151C2×C3×C4×C5—22no—
152C2×C3×C4×C5—22no—
153C2×C3×C4×C5—41no—
154C2×C3×C4×C5—42no—
155C2×C3×C4×C5C22×C412yes—
156C2×C3×C4×C5C2×D411yescharacteristic
157C2×C3×C4×C5C2×D411yescharacteristic
158C2×C3×C4×C5C2×D411yescharacteristic
159C2×C3×C4×C5C2×D411yescharacteristic
160C2×C3×C4×C5C2×D411yescharacteristic
161C2×C3×C4×C5#4112yes—
162C2×C3×C4×C5C2411yescharacteristic
163C3×C22⋊D5—24no—
164C2×C3×Dic5—21no—
165C2×C3×Dic5—21no—
166C2×C3×Dic5—21no—
167C3×D20—21no—
168C3×D20C22×C412yes—
169C3×C4×D5—24no—
170C3×C4×D5—42no—
171C3×C4×D5—42no—
172C3×Dic10—21no—
173C3×Dic10C22×C412yes—
174C3×#168—22no—
175C3×#168C22×C414yes—
176C2×C3×#41—51no—
177C22×C3×Q8C2×D511yescharacteristic
178C3×#137—58no—
179C2×C3×Q16—52no—
180C2×C3×SD16—52no—
181C2×C3×M16—51no—
182C2×C3×M16—51no—
183C3×C4×Q8—21no—
184C3×C4×Q8—21no—
185C3×C4×Q8—51no—
186C3×C4×Q8—51no—
187C3×C4×Q8C2×D512yes—
188C3×C4×Q8C2×D512yes—
189C3×C4×D4—51no—
190C3×C4×D4—51no—
191C3×C4×D4—101no—
192C3×C4×D4—101no—
193C3×#117—51no—
194C3×#117—101no—
195C2×C3×C4⋊C4—21no—
196C2×C3×C4⋊C4C2×D511yescharacteristic
197C2×C3×C42—21no—
198C2×C3×C42—101no—
199C2×C3×C42C2×D511yescharacteristic
200C3×#107—52no—
201C3×#106—52no—
202C3×#103—52no—
203C3×#103—52no—
204C3×#103—52no—
205C3×#102—52no—
206C3×#97—52no—
207C3×C4×C8—52no—
208C2×C5×Q8—21no—
209C2×C5×Q8—22no—
210C2×C5×Q8C2×C3×C414yescomplemented
211C2×C5×Q8C23×C312yes—
212C22×C4×C5—21no—
213C22×C4×C5—21no—
214C22×C4×C5C3×D411yescharacteristic
215C22×C4×C5C3×D411yescharacteristic
216C22×C4×C5C23×C311yescharacteristic
217C2×C22⋊D5—21no—
218#709—22no—
219#709C2×C3×C414yes—
220C2×D20C23×C311yescharacteristic
221C2×C4×D5—21no—
222C2×C4×D5—21no—
223C2×C4×D5—21no—
224C2×Dic10C23×C311yescharacteristic
225C5×C4⋊C4—22no—
226C5×C4⋊C4—22no—
227C5×C4⋊C4—21no—
228C5×C4⋊C4C23×C312yes—
229C42×C5—22no—
230C42×C5—22no—
231C42×C5C3×D411yescharacteristic
232C42×C5C3×D411yescharacteristic
233C42×C5C23×C311yescharacteristic
234C42×C5C23×C311yescharacteristic
235C22⋊Dic5—21no—
236#689C2×C3×C418yescomplemented
237#688C2×C3×C418yescomplemented
238#685—21no—
239#685—21no—
240C4⋊Dic5C23×C311yescharacteristic
241C4⋊Dic5C23×C311yescharacteristic
242#683—21no—
243#683—21no—
244C4×Dic5—21no—
245C4×Dic5—21no—
246C4×Dic5—21no—
247#681—22no—
248#681C2×C3×C414yescomplemented
249C2×#168C23×C312yes—
250C2×#168C23×C312yes—
251C2×#137—51no—
252C4×#41—51no—
253C2×C4×Q8C3×D511yescharacteristic, complemented
254#441—52no—
255#440—52no—
256C4×Q16—52no—
257C4×SD16—52no—
258#428—51no—
259#419—51no—
260#417—51no—
261C4×M16—51no—
262C22×C3×C5—21no—
263C22×C3×C5—21no—
264C22×C3×C5C4×D412yes—
265C22×C3×C5C22×D411yescharacteristic
266C2×C3×D5—22no—
267C2×C3×D5—41no—
268C2×C3×D5—41no—
269C3×C4×C5—24no—
270C3×C4×C5—21no—
271C3×C4×C5—21no—
272C3×C4×C5—21no—
273C3×C4×C5—42no—
274C3×C4×C5C4×D412yes—
275C3×C4×C5#13712yescomplemented
276C3×C4×C5C23×C411yescharacteristic
277C3×C4×C5C2×#4111yescharacteristic
278C3×Dic5—22no—
279C3×Dic5—41no—
280C3×Dic5—41no—
281C3×#41—54no—
282C3×#41—102no—
283C2×C3×Q8—22no—
284C2×C3×Q8—21no—
285C2×C3×Q8—51no—
286C2×C3×Q8C4×D514yescomplemented
287C2×C3×Q8C22×D512yes—
288C2×C3×D4—51no—
289C2×C3×D4—101no—
290C22×C3×C4—21no—
291C22×C3×C4—21no—
292C22×C3×C4—101no—
293C22×C3×C4—101no—
294C22×C3×C4—101no—
295C22×C3×C4C22⋊D511yescharacteristic
296C22×C3×C4C22⋊D511yescharacteristic
297C22×C3×C4C22×D511yescharacteristic
298C3×Q16—58no—
299C3×SD16—58no—
300C3×M16—54no—
301C3×M16—102no—
302C2×C3×C8—52no—
303C2×C3×C8—52no—
304C3×C4⋊C4—22no—
305C3×C4⋊C4—22no—
306C3×C4⋊C4—21no—
307C3×C4⋊C4—51no—
308C3×C4⋊C4—51no—
309C3×C4⋊C4—101no—
310C3×C4⋊C4—101no—
311C3×C4⋊C4C22×D512yes—
312C3×C22⋊C4—101no—
313C3×C22⋊C4—101no—
314C3×C22⋊C4—101no—
315C3×C42—22no—
316C3×C42—22no—
317C3×C42—101no—
318C3×C42—101no—
319C3×C42—101no—
320C3×C42C22⋊D511yescharacteristic
321C3×C42C22⋊D511yescharacteristic
322C3×C42C22×D511yescharacteristic
323C3×C42C22×D511yescharacteristic
324C23×C5C2×C3×D411yescharacteristic
325C22×D5—21no—
326C5×Q8—24no—
327C5×Q8—22no—
328C5×Q8C22×C3×C414yes—
329C2×C4×C5—24no—
330C2×C4×C5—22no—
331C2×C4×C5—22no—
332C2×C4×C5—22no—
333C2×C4×C5—41no—
334C2×C4×C5—42no—
335C2×C4×C5C22×C3×C412yes—
336C2×C4×C5C2×C3×D411yescharacteristic
337C2×C4×C5C2×C3×D411yescharacteristic
338C2×C4×C5C2×C3×D411yescharacteristic
339C2×C4×C5C2×C3×D411yescharacteristic
340C2×C4×C5C2×C3×D411yescharacteristic
341C2×C4×C5C3×#4112yes—
342C2×C4×C5C24×C311yescharacteristic
343C22⋊D5—24no—
344C2×Dic5—21no—
345C2×Dic5—21no—
346C2×Dic5—21no—
347D20—21no—
348D20C22×C3×C412yes—
349C4×D5—24no—
350C4×D5—42no—
351C4×D5—42no—
352Dic10—21no—
353Dic10C22×C3×C412yes—
354#168—22no—
355#168C22×C3×C414yes—
356C2×#41—51no—
357C22×Q8C2×C3×D511yescharacteristic
358#137—58no—
359C2×Q16—52no—
360C2×SD16—52no—
361C2×M16—51no—
362C2×M16—51no—
363C4×Q8—21no—
364C4×Q8—21no—
365C4×Q8—51no—
366C4×Q8—51no—
367C4×Q8C2×C3×D512yes—
368C4×Q8C2×C3×D512yes—
369C4×D4—51no—
370C4×D4—51no—
371C4×D4—101no—
372C4×D4—101no—
373#117—51no—
374#117—101no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4C2×C3×D511yescharacteristic
377C2×C42—21no—
378C2×C42—101no—
379C2×C42C2×C3×D511yescharacteristic
380#107—52no—
381#106—52no—
382#103—52no—
383#103—52no—
384#103—52no—
385#102—52no—
386#97—52no—
387C4×C8—52no—
388C2×C3×C5—22no—
389C2×C3×C5C2×C4×D411yescharacteristic
390C2×C3×C5C2×#13711yescharacteristic
391C2×C3×C5#57511yescharacteristic
392C3×D5—42no—
393C23×C3—101no—
394C23×C3C2×C22⋊D511yescharacteristic
395C3×Q8—22no—
396C3×Q8—24no—
397C3×Q8—52no—
398C3×Q8—101no—
399C3×Q8C2×C4×D514yes—
400C3×D4—52no—
401C3×D4—104no—
402C3×D4—101no—
403C2×C3×C4—22no—
404C2×C3×C4—24no—
405C2×C3×C4—22no—
406C2×C3×C4—22no—
407C2×C3×C4—41no—
408C2×C3×C4—42no—
409C2×C3×C4—101no—
410C2×C3×C4—104no—
411C2×C3×C4—101no—
412C2×C3×C4—101no—
413C2×C3×C4—202no—
414C2×C3×C4—202no—
415C2×C3×C4C2×C4×D512yes—
416C2×C3×C4#70912yes—
417C2×C3×C4C2×C22⋊D511yescharacteristic
418C2×C3×C4C2×C22⋊D511yescharacteristic
419C2×C3×C4C2×C22⋊D511yescharacteristic
420C2×C3×C4C2×C22⋊D511yescharacteristic
421C2×C3×C4C2×C22⋊D511yescharacteristic
422C2×C3×C4C23×D511yescharacteristic
423C3×C8—54no—
424C3×C8—102no—
425C22×C5—21no—
426C22×C5—21no—
427C22×C5C3×C4×D412yes—
428C22×C5C22×C3×D411yescharacteristic
429C2×D5—22no—
430C2×D5—41no—
431C2×D5—41no—
432C4×C5—21no—
433C4×C5—21no—
434C4×C5—21no—
435C4×C5—24no—
436C4×C5—42no—
437C4×C5C3×C4×D412yes—
438C4×C5C3×#13712yescomplemented
439C4×C5C23×C3×C411yescharacteristic
440C4×C5C2×C3×#4111yescharacteristic
441Dic5—22no—
442Dic5—41no—
443Dic5—41no—
444#41—54no—
445#41—102no—
446C2×Q8—22no—
447C2×Q8—21no—
448C2×Q8—51no—
449C2×Q8C3×C4×D514yescomplemented
450C2×Q8C22×C3×D512yes—
451C2×D4—51no—
452C2×D4—101no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—101no—
456C22×C4—101no—
457C22×C4—101no—
458C22×C4C3×C22⋊D511yescharacteristic
459C22×C4C3×C22⋊D511yescharacteristic
460C22×C4C22×C3×D511yescharacteristic
461Q16—58no—
462SD16—58no—
463M16—54no—
464M16—102no—
465C2×C8—52no—
466C2×C8—52no—
467C4⋊C4—22no—
468C4⋊C4—22no—
469C4⋊C4—21no—
470C4⋊C4—51no—
471C4⋊C4—51no—
472C4⋊C4—101no—
473C4⋊C4—101no—
474C4⋊C4C22×C3×D512yes—
475C22⋊C4—101no—
476C22⋊C4—101no—
477C22⋊C4—101no—
478C42—22no—
479C42—22no—
480C42—101no—
481C42—101no—
482C42—101no—
483C42C3×C22⋊D511yescharacteristic
484C42C3×C22⋊D511yescharacteristic
485C42C22×C3×D511yescharacteristic
486C42C22×C3×D511yescharacteristic
487C3×C5C4×#13711yescharacteristic, complemented, Hall
488C22×C3—21no—
489C22×C3—21no—
490C22×C3—102no—
491C22×C3—201no—
492C22×C3—201no—
493C22×C3C4×C22⋊D512yes—
494C22×C3C22×C22⋊D511yescharacteristic
495C3×C4—24no—
496C3×C4—21no—
497C3×C4—21no—
498C3×C4—21no—
499C3×C4—42no—
500C3×C4—102no—
501C3×C4—201no—
502C3×C4—201no—
503C3×C4C4×C22⋊D512yes—
504C3×C4#408812yesdirect product factor
505C3×C4C22×C4×D511yescharacteristic
506C3×C4C2×#70911yescharacteristic
507C2×C5—22no—
508C2×C5C2×C3×C4×D411yescharacteristic
509C2×C5C2×C3×#13711yescharacteristic
510C2×C5C3×#57511yescharacteristic
511D5—42no—
512C23—101no—
513C23C2×C3×C22⋊D511yescharacteristic
514Q8—22no—
515Q8—24no—
516Q8—52no—
517Q8—101no—
518Q8C2×C3×C4×D514yes—
519D4—52no—
520D4—104no—
521D4—101no—
522C2×C4—22no—
523C2×C4—24no—
524C2×C4—22no—
525C2×C4—22no—
526C2×C4—41no—
527C2×C4—42no—
528C2×C4—101no—
529C2×C4—104no—
530C2×C4—101no—
531C2×C4—101no—
532C2×C4—202no—
533C2×C4—202no—
534C2×C4C2×C3×C4×D512yes—
535C2×C4C3×#70912yes—
536C2×C4C2×C3×C22⋊D511yescharacteristic
537C2×C4C2×C3×C22⋊D511yescharacteristic
538C2×C4C2×C3×C22⋊D511yescharacteristic
539C2×C4C2×C3×C22⋊D511yescharacteristic
540C2×C4C2×C3×C22⋊D511yescharacteristic
541C2×C4C23×C3×D511yescharacteristic
542C8—54no—
543C8—102no—
544C2×C3—22no—
545C2×C3—202no—
546C2×C3C2×C4×C22⋊D511yescharacteristic
547C2×C3C2×#408811yescharacteristic
548C2×C3#6615611yescharacteristic
549C5C3×C4×#13711yescharacteristic, complemented, Sylow
550C22—21no—
551C22—21no—
552C22—102no—
553C22—201no—
554C22—201no—
555C22C3×C4×C22⋊D512yes—
556C22C22×C3×C22⋊D511yescharacteristic
557C4—24no—
558C4—21no—
559C4—21no—
560C4—21no—
561C4—42no—
562C4—102no—
563C4—201no—
564C4—201no—
565C4C3×C4×C22⋊D512yes—
566C4C3×#408812yesdirect product factor
567C4C22×C3×C4×D511yescharacteristic
568C4C2×C3×#70911yescharacteristic
569C3C4×#408811yescharacteristic, direct product factor, Sylow
570C2—22no—
571C2—202no—
572C2C2×C3×C4×C22⋊D511yescharacteristic
573C2C2×C3×#408811yescharacteristic
574C2C3×#6615611yescharacteristic
subgroupG/H
centerC2×C3×C4C2×C22⋊D5
commutatorC4×C5C23×C3×C4
FrattiniC2×C4C23×C3×D5
FittingC2×C3×C4×C5×Q8C2
socleC22×C3×C5C22×D4
prime radicalC2×C3×#709C22
cosocleC2×C4×C5C24×C3
hypercenterC2×C3×C4×Q8D5
hypocenterC5C3×C4×#137
LCSG ▷ C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C2×C3×C4 ◁ C2×C3×C42 ◁ C2×C3×C4×Q8

Complements

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

NH ≅ G/Ntype
1. C2×C3×C4×C5×Q8C2semidirect
4. C3×#65514C2semidirect
5. C3×#65319C2semidirect
6. C3×C4×#689C2semidirect
7. C3×#65315C2semidirect
8. C3×C4×#688C2semidirect
10. C3×#65253C2semidirect
11. C3×C4×#681C2semidirect
12. C4×#4088C3direct (N × H)
24. C3×#4088C4direct (N × H)
46. C2×C4×C5×Q8C2×C3semidirect
49. #65514C2×C3semidirect
50. #65319C2×C3semidirect
51. C4×#689C2×C3semidirect
52. #65315C2×C3semidirect
53. C4×#688C2×C3semidirect
55. #65253C2×C3semidirect
56. C4×#681C2×C3semidirect
59. C2×C3×C5×Q8C2×C4semidirect
85. C3×#689C2×C4semidirect
86. C3×#688C2×C4semidirect
97. C3×#681C2×C4semidirect
102. C2×C3×C4×Q8D5semidirect
122. #4088C3×C4direct (N × H)
210. C2×C5×Q8C2×C3×C4semidirect
236. #689C2×C3×C4semidirect
237. #688C2×C3×C4semidirect
248. #681C2×C3×C4semidirect
253. C2×C4×Q8C3×D5semidirect
275. C3×C4×C5#137semidirect
286. C2×C3×Q8C4×D5semidirect
438. C4×C5C3×#137semidirect
449. C2×Q8C3×C4×D5semidirect
487. C3×C5C4×#137semidirect
504. C3×C4#4088direct (N × H)
549. C5C3×C4×#137semidirect
566. C4C3×#4088direct (N × H)
569. C3C4×#4088direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×C4×C5×Q82
C2×C3×#40882
C3×C4×#7092
C3×#655142
C3×#653192
C3×C4×#6892
C3×#653152
C3×C4×#6882
C3×#652552
C3×#652532
C3×C4×#6812
C4×#40883
C3×C4×#1375