Finite Group Databasebeta

← C3×D12×S4 #13180690

Subgroups — C3×D12×S4 #13180690

Order 1728.

1068 conjugacy classes of subgroups; only the 90 normal subgroups are shown.

normal subgroups only

This group has 1068 conjugacy classes of subgroups — too many to draw. Only its 90 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D3×S4C212yesmaximal, complemented
2C3×A4×D12C211yesmaximal, characteristic, complemented
3C3×C4⋊(C3⋊S4)C211yesmaximal, characteristic, complemented
4C32×C4×S4C211yesmaximal, characteristic, complemented
5C3×#64210C212yesmaximal, complemented
6C3×D4×S4—31nomaximal
7D12×S4C311yesmaximal, characteristic, direct product factor
8C3×D4×D12—31nomaximal
9C2×C3×D3×A4C2212yescomplemented
10C2×C3×C3⋊S4C2212yescomplemented
11C2×C32×S4C2211yescharacteristic
12C3×D3×S4—24no—
13C32×C4×A4C2211yescharacteristic, complemented
14C3×D3×D12—41nomaximal
15C32×SL(2,ℤ/4)C2211yescharacteristic, complemented
16C22×C3×S4—32no—
17C2×D3×S4C2×C312yescomplemented
18C2×C3×D3×D4—32no—
19C22×C3×D12—31no—
20C22×C3×D12D311yescharacteristic, complemented
21C3×D4×A4—31no—
22A4×D12—21no—
23A4×D12C2×C311yescharacteristic, complemented
24C4⋊(C3⋊S4)C2×C311yescharacteristic, complemented
25C3×GL(2,ℤ/4)—32no—
26C3×C4⋊S4—31no—
27C3×C4⋊S4—61no—
28C3×C4×S4—21no—
29C3×C4×S4D311yescharacteristic, complemented
30C3×C4×S4C2×C311yescharacteristic, complemented
31#64210C2×C312yescomplemented
32C32×C4×D4—31no—
33C3×#930—31no—
34C3×#930—31no—
35C3×#895—32no—
36C3×#882—32no—
37C3×#882—32no—
38C3×#874—31no—
39C3×C4×D12—31no—
40C2×C32×A4C2311yescharacteristic
41C2×C3×D32—42no—
42C3×D3×A4—22no—
43C3×C3⋊S4—22no—
44C32×S4D412yescomplemented
45C3×C4⋊(C3⋊D3)—41no—
46C32×D12—41no—
47C32×C4×D3—41no—
48C3×#626—42no—
49D4×S4—31no—
50C3×D42—91no—
51D4×D12—31no—
52C23×C3×D3—32no—
53C23×C3×D3C2×D312yescomplemented
54C22×C3×A4—32no—
55C2×D3×A4—22no—
56C2×D3×A4C22×C312yescomplemented
57C2×C3⋊S4C22×C312yescomplemented
58C2×C3×S4—21no—
59C2×C3×S4—32no—
60C2×C3×S4—64no—
61C2×C3×S4—62no—
62C2×C3×S4C2×D311yescharacteristic
63C2×C3×S4C22×C311yescharacteristic
64D3×S4—24no—
65C2×C32×D4—31no—
66C22×C32×C4—31no—
67C22×C32×C4C2×D311yescharacteristic, complemented
68C2×C3×#67—32no—
69C2×C3×#67—32no—
70C3×D3×D4—64no—
71C3×D3×D4—64no—
72C3×D3×D4—121no—
73C2×C3×D12—31no—
74C2×C3×D12—32no—
75C2×C3×D12—31no—
76C2×C3×D12—32no—
77C2×C3×D12—32no—
78C2×C3×D12—31no—
79C2×C3×D12—32no—
80C2×C3×D12—62no—
81C2×C3×D12—61no—
82C2×C3×D12—61no—
83C2×C3×C4×D3—32no—
84C3×C4×A4—21no—
85C3×C4×A4—21no—
86C3×C4×A4—21no—
87C3×C4×A4—41no—
88C3×C4×A4C2×D311yescharacteristic, complemented
89C3×C4×A4C22×C311yescharacteristic, complemented
90D3×D12—41no—
91C3×SL(2,ℤ/4)—21no—
92C3×SL(2,ℤ/4)C2×D311yescharacteristic, complemented
93C3×SL(2,ℤ/4)C22×C311yescharacteristic, complemented
94C32×C4⋊C4—31no—
95C32×C22⋊C4—31no—
96C32×C22⋊C4—31no—
97C32×C42—31no—
98C3×(C2×D3)⋊C4—32no—
99C3×(C2×D3)⋊C4—32no—
100C3×(C2×D3)⋊C4—32no—
101C3×C4⋊Dic3—31no—
102C2×C3×C3⋊D3—42no—
103C2×C32×D3—41no—
104C2×C32×D3—42no—
105C32×A4C2×D411yescharacteristic, complemented
106C3×D32—84no—
107C33×C4—41no—
108C32×Dic3—41no—
109C22×S4—32no—
110C22×C3×D4—31no—
111C22×C3×D4—91no—
112C22×C3×D4—92no—
113C2×D3×D4—32no—
114C22×D12—31no—
115C22×D12C3×D311yescharacteristic, complemented
116D4×A4—31no—
117D4×A4—61no—
118GL(2,ℤ/4)—32no—
119C4⋊S4—31no—
120C4⋊S4—61no—
121C4×S4C3×D311yescharacteristic, complemented
122C3×#127—91no—
123C3×#121—92no—
124C3×#121—91no—
125C3×#121—91no—
126C3×#120—92no—
127C3×#120—92no—
128C3×C4×D4—31no—
129C3×C4×D4—31no—
130C3×C4×D4—61no—
131C3×C4×D4—91no—
132#930—31no—
133#930—31no—
134#895—32no—
135#882—32no—
136#882—32no—
137#874—31no—
138C4×D12—31no—
139C23×C32—31no—
140C23×C32C22×D311yescharacteristic
141C22×C3×D3—22no—
142C22×C3×D3—32no—
143C22×C3×D3—32no—
144C22×C3×D3—32no—
145C22×C3×D3—62no—
146C22×C3×D3—62no—
147C22×C3×D3—64no—
148C22×C3×D3—62no—
149C22×C3×D3—122no—
150C22×C3×D3—122no—
151C2×C3×A4—21no—
152C2×C3×A4—21no—
153C2×C3×A4—21no—
154C2×C3×A4—41no—
155C2×C3×A4—62no—
156C2×C3×A4C22×D311yescharacteristic
157C2×C3×A4C23×C311yescharacteristic
158C2×D32—42no—
159D3×A4—22no—
160D3×A4—42no—
161C3⋊S4—22no—
162C3×S4—22no—
163C3×S4—62no—
164C3×S4—122no—
165C3×S4D1212yesdirect product factor
166C3×S4C3×D412yescomplemented
167C32×D4—32no—
168C32×D4—32no—
169C32×D4—121no—
170C2×C32×C4—31no—
171C2×C32×C4—31no—
172C2×C32×C4—31no—
173C2×C32×C4—31no—
174C2×C32×C4—31no—
175C2×C32×C4—61no—
176C2×C32×C4—61no—
177C4⋊(C3⋊D3)—41no—
178C3×#67—64no—
179C3×#67—62no—
180C3×#67—62no—
181C3×#67—122no—
182C2×C3×Dic3—32no—
183C3×D12—32no—
184C3×D12—31no—
185C3×D12—41no—
186C3×D12—61no—
187C3×D12—61no—
188C3×D12—64no—
189C3×D12—62no—
190C3×D12—62no—
191C3×D12—61no—
192C3×D12—81no—
193C3×D12—121no—
194C3×D12—122no—
195C3×D12—241no—
196C3×D12S411yescharacteristic, direct product factor
197C3×C4×D3—41no—
198C3×C4×D3—41no—
199C3×C4×D3—64no—
200C3×C4×D3—81no—
201#626—42no—
202D42—91noSylow
203C2×C33—41no—
204C3×C3⋊D3—82no—
205C32×D3—42no—
206C32×D3—82no—
207C24×C3—32no—
208C24×C3—92no—
209C23×D3—32no—
210C23×D3C2×C3×D312yescomplemented
211C22×A4—32no—
212C22×A4—62no—
213C2×S4—32no—
214C2×S4—62no—
215C2×S4—64no—
216C2×S4C2×C3×D311yescharacteristic
217C2×C3×D4—31no—
218C2×C3×D4—31no—
219C2×C3×D4—61no—
220C2×C3×D4—91no—
221C2×C3×D4—92no—
222C2×C3×D4—91no—
223C2×C3×D4—92no—
224C2×C3×D4—92no—
225C2×C3×D4—91no—
226C2×C3×D4—92no—
227C2×C3×D4—92no—
228C2×C3×D4—92no—
229C2×C3×D4—181no—
230C2×C3×D4—182no—
231C2×C3×D4—181no—
232C2×C3×D4—184no—
233C2×C3×D4—184no—
234C22×C3×C4—21no—
235C22×C3×C4—31no—
236C22×C3×C4—31no—
237C22×C3×C4—61no—
238C22×C3×C4—92no—
239C22×C3×C4D3211yescharacteristic, complemented
240C22×C3×C4C2×C3×D311yescharacteristic, complemented
241C2×#67—32no—
242C2×#67—32no—
243D3×D4—64no—
244D3×D4—64no—
245D3×D4—121no—
246C2×D12—31no—
247C2×D12—31no—
248C2×D12—32no—
249C2×D12—32no—
250C2×D12—31no—
251C2×D12—32no—
252C2×D12—32no—
253C2×D12—62no—
254C2×D12—61no—
255C2×D12—61no—
256C2×C4×D3—32no—
257C4×A4—21no—
258C4×A4—21no—
259C4×A4—41no—
260C4×A4C2×C3×D311yescharacteristic, complemented
261SL(2,ℤ/4)C2×C3×D311yescharacteristic, complemented
262C3×C4⋊C4—31no—
263C3×C4⋊C4—31no—
264C3×C4⋊C4—61no—
265C3×C4⋊C4—91no—
266C3×C22⋊C4—31no—
267C3×C22⋊C4—31no—
268C3×C22⋊C4—31no—
269C3×C22⋊C4—31no—
270C3×C22⋊C4—61no—
271C3×C22⋊C4—61no—
272C3×C22⋊C4—92no—
273C3×C22⋊C4—92no—
274C3×C22⋊C4—92no—
275C3×C42—31no—
276C3×C42—31no—
277C3×C42—61no—
278(C2×D3)⋊C4—32no—
279(C2×D3)⋊C4—32no—
280(C2×D3)⋊C4—32no—
281C4⋊Dic3—31no—
282C22×C32—31no—
283C22×C32—31no—
284C22×C32—32no—
285C22×C32—61no—
286C22×C32—61no—
287C22×C32—122no—
288C22×C32D3×D411yescharacteristic, complemented
289C2×C3⋊D3—42no—
290C2×C3×D3—32no—
291C2×C3×D3—41no—
292C2×C3×D3—41no—
293C2×C3×D3—42no—
294C2×C3×D3—62no—
295C2×C3×D3—62no—
296C2×C3×D3—62no—
297C2×C3×D3—62no—
298C2×C3×D3—62no—
299C2×C3×D3—62no—
300C2×C3×D3—62no—
301C2×C3×D3—81no—
302C2×C3×D3—82no—
303C2×C3×D3—122no—
304C2×C3×D3—124no—
305C2×C3×D3—124no—
306C2×C3×D3—242no—
307C2×C3×D3—244no—
308C2×C3×D3C2×S412yescomplemented
309C3×A4—21no—
310C3×A4—21no—
311C3×A4—21no—
312C3×A4—41no—
313C3×A4C2×D1211yescharacteristic, complemented
314C3×A4C2×C3×D411yescharacteristic, complemented
315D32—84no—
316C32×C4—32no—
317C32×C4—31no—
318C32×C4—41no—
319C32×C4—41no—
320C32×C4—61no—
321C32×C4—61no—
322C32×C4—81no—
323C32×C4—81no—
324C32×C4—81no—
325C32×C4—161no—
326C32×C4C2×S411yescharacteristic, complemented
327C3×Dic3—41no—
328C3×Dic3—41no—
329C3×Dic3—62no—
330C3×Dic3—81no—
331C22×D4—31no—
332C22×D4—91no—
333C22×D4—92no—
334#127—91no—
335#121—92no—
336#121—91no—
337#121—91no—
338#120—92no—
339#120—92no—
340C4×D4—31no—
341C4×D4—91no—
342C33—41noSylow
343C23×C3—21no—
344C23×C3—31no—
345C23×C3—31no—
346C23×C3—61no—
347C23×C3—62no—
348C23×C3—92no—
349C23×C3—92no—
350C23×C3—92no—
351C23×C3—182no—
352C23×C3—182no—
353C23×C3—184no—
354C23×C3—182no—
355C23×C3—362no—
356C23×C3C2×D3211yescharacteristic
357C23×C3C22×C3×D311yescharacteristic
358C22×D3—22no—
359C22×D3—32no—
360C22×D3—32no—
361C22×D3—32no—
362C22×D3—62no—
363C22×D3—62no—
364C22×D3—64no—
365C22×D3—62no—
366C22×D3—122no—
367C22×D3—122no—
368C2×A4—21no—
369C2×A4—21no—
370C2×A4—41no—
371C2×A4—62no—
372C2×A4—122no—
373C2×A4C22×C3×D311yescharacteristic
374S4—62no—
375S4—122no—
376S4C3×D1212yesdirect product factor
377C3×D4—32no—
378C3×D4—32no—
379C3×D4—32no—
380C3×D4—32no—
381C3×D4—31no—
382C3×D4—62no—
383C3×D4—62no—
384C3×D4—92no—
385C3×D4—91no—
386C3×D4—121no—
387C3×D4—181no—
388C3×D4—184no—
389C3×D4—181no—
390C3×D4—182no—
391C3×D4—182no—
392C3×D4—182no—
393C3×D4—184no—
394C3×D4—182no—
395C3×D4—181no—
396C3×D4—241no—
397C3×D4—362no—
398C2×C3×C4—31no—
399C2×C3×C4—31no—
400C2×C3×C4—31no—
401C2×C3×C4—31no—
402C2×C3×C4—31no—
403C2×C3×C4—31no—
404C2×C3×C4—31no—
405C2×C3×C4—31no—
406C2×C3×C4—31no—
407C2×C3×C4—31no—
408C2×C3×C4—61no—
409C2×C3×C4—61no—
410C2×C3×C4—61no—
411C2×C3×C4—61no—
412C2×C3×C4—61no—
413C2×C3×C4—61no—
414C2×C3×C4—61no—
415C2×C3×C4—61no—
416C2×C3×C4—61no—
417C2×C3×C4—92no—
418C2×C3×C4—121no—
419C2×C3×C4—121no—
420C2×C3×C4—184no—
421#67—64no—
422#67—62no—
423#67—62no—
424#67—122no—
425C2×Dic3—32no—
426D12—32no—
427D12—31no—
428D12—61no—
429D12—61no—
430D12—64no—
431D12—62no—
432D12—62no—
433D12—61no—
434D12—121no—
435D12—122no—
436D12—241no—
437D12C3×S411yescharacteristic, direct product factor
438C4×D3—41no—
439C4×D3—64no—
440C2×C32—31no—
441C2×C32—31no—
442C2×C32—41no—
443C2×C32—41no—
444C2×C32—62no—
445C2×C32—81no—
446C2×C32—81no—
447C2×C32—81no—
448C2×C32—161no—
449C2×C32—242no—
450C2×C32C22×S411yescharacteristic
451C3⋊D3—82no—
452C3×D3—22no—
453C3×D3—42no—
454C3×D3—42no—
455C3×D3—62no—
456C3×D3—82no—
457C3×D3—82no—
458C3×D3—122no—
459C3×D3—162no—
460C3×D3—242no—
461C3×D3—482no—
462C24—32no—
463C24—92no—
464C2×D4—31no—
465C2×D4—91no—
466C2×D4—92no—
467C2×D4—91no—
468C2×D4—92no—
469C2×D4—92no—
470C2×D4—91no—
471C2×D4—92no—
472C2×D4—92no—
473C2×D4—92no—
474C2×D4—181no—
475C2×D4—182no—
476C2×D4—181no—
477C2×D4—184no—
478C2×D4—184no—
479C22×C4—31no—
480C22×C4—92no—
481C22×C4C3×D3211yescharacteristic, complemented
482C4⋊C4—31no—
483C4⋊C4—91no—
484C22⋊C4—31no—
485C22⋊C4—31no—
486C22⋊C4—92no—
487C22⋊C4—92no—
488C22⋊C4—92no—
489C42—31no—
490C22×C3—21no—
491C22×C3—31no—
492C22×C3—31no—
493C22×C3—31no—
494C22×C3—31no—
495C22×C3—32no—
496C22×C3—32no—
497C22×C3—32no—
498C22×C3—61no—
499C22×C3—61no—
500C22×C3—62no—
501C22×C3—61no—
502C22×C3—61no—
503C22×C3—61no—
504C22×C3—61no—
505C22×C3—92no—
506C22×C3—122no—
507C22×C3—121no—
508C22×C3—121no—
509C22×C3—182no—
510C22×C3—182no—
511C22×C3—182no—
512C22×C3—182no—
513C22×C3—182no—
514C22×C3—182no—
515C22×C3—182no—
516C22×C3—242no—
517C22×C3—364no—
518C22×C3—364no—
519C22×C3D3×D1211yescharacteristic, complemented
520C22×C3C3×D3×D411yescharacteristic, complemented
521C2×D3—32no—
522C2×D3—41no—
523C2×D3—62no—
524C2×D3—62no—
525C2×D3—62no—
526C2×D3—62no—
527C2×D3—62no—
528C2×D3—62no—
529C2×D3—62no—
530C2×D3—122no—
531C2×D3—124no—
532C2×D3—124no—
533C2×D3—242no—
534C2×D3—244no—
535C2×D3C2×C3×S412yescomplemented
536A4—21no—
537A4—21no—
538A4—41no—
539A4C2×C3×D1211yescharacteristic, complemented
540C3×C4—21no—
541C3×C4—32no—
542C3×C4—32no—
543C3×C4—31no—
544C3×C4—31no—
545C3×C4—41no—
546C3×C4—61no—
547C3×C4—62no—
548C3×C4—61no—
549C3×C4—61no—
550C3×C4—61no—
551C3×C4—61no—
552C3×C4—81no—
553C3×C4—81no—
554C3×C4—121no—
555C3×C4—121no—
556C3×C4—161no—
557C3×C4—182no—
558C3×C4D3×S411yescharacteristic, complemented
559C3×C4C2×C3×S411yescharacteristic, complemented
560Dic3—41no—
561Dic3—62no—
562C32—41no—
563C32—41no—
564C32—81no—
565C32—81no—
566C32—81no—
567C32—161no—
568C32D4×S411yescharacteristic, complemented
569C23—31no—
570C23—62no—
571C23—92no—
572C23—92no—
573C23—92no—
574C23—182no—
575C23—182no—
576C23—184no—
577C23—182no—
578C23—362no—
579C23C2×C3×D3211yescharacteristic
580D4—32no—
581D4—32no—
582D4—31no—
583D4—92no—
584D4—91no—
585D4—181no—
586D4—184no—
587D4—181no—
588D4—182no—
589D4—182no—
590D4—182no—
591D4—184no—
592D4—182no—
593D4—181no—
594D4—362no—
595C2×C4—31no—
596C2×C4—31no—
597C2×C4—31no—
598C2×C4—31no—
599C2×C4—31no—
600C2×C4—61no—
601C2×C4—61no—
602C2×C4—92no—
603C2×C4—184no—
604C2×C3—21no—
605C2×C3—31no—
606C2×C3—31no—
607C2×C3—31no—
608C2×C3—31no—
609C2×C3—41no—
610C2×C3—61no—
611C2×C3—61no—
612C2×C3—62no—
613C2×C3—62no—
614C2×C3—62no—
615C2×C3—81no—
616C2×C3—81no—
617C2×C3—122no—
618C2×C3—161no—
619C2×C3—182no—
620C2×C3—242no—
621C2×C3—362no—
622C2×C3—482no—
623C2×C3C2×D3×S411yescharacteristic
624C2×C3C22×C3×S411yescharacteristic
625D3—22no—
626D3—42no—
627D3—62no—
628D3—122no—
629D3—242no—
630D3—482no—
631C22—31no—
632C22—31no—
633C22—32no—
634C22—32no—
635C22—61no—
636C22—61no—
637C22—92no—
638C22—182no—
639C22—182no—
640C22—182no—
641C22—182no—
642C22—182no—
643C22—182no—
644C22—182no—
645C22—364no—
646C22—364no—
647C22C3×D3×D1211yescharacteristic, complemented
648C4—32no—
649C4—31no—
650C4—61no—
651C4—61no—
652C4—182no—
653C4C3×D3×S411yescharacteristic, complemented
654C3—21no—
655C3—41no—
656C3—81no—
657C3—81no—
658C3—161no—
659C3D12×S411yescharacteristic, direct product factor
660C3C3×D4×S411yescharacteristic, complemented
661C2—31no—
662C2—31no—
663C2—62no—
664C2—62no—
665C2—182no—
666C2—362no—
667C2C2×C3×D3×S411yescharacteristic
subgroupG/H
centerC2×C3C2×D3×S4
commutator, cosocleC2×C3×A4C23×C3
FrattiniC2C2×C3×D3×S4
FittingC22×C32×C4C2×D3
socleC23×C32C22×D3
hypercenterC3×C4D3×S4
hypocenterC3×A4C2×C3×D4
LCSG ▷ C2×C3×A4 ▷ C3×A4
UCSC1 ◁ C2×C3 ◁ C3×C4

Complements

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

NH ≅ G/Ntype
1. C2×C3×D3×S4C2semidirect
2. C3×A4×D12C2semidirect
3. C3×C4⋊(C3⋊S4)C2semidirect
4. C32×C4×S4C2semidirect
5. C3×#64210C2semidirect
7. D12×S4C3direct (N × H)
9. C2×C3×D3×A4C22semidirect
10. C2×C3×C3⋊S4C22semidirect
13. C32×C4×A4C22semidirect
15. C32×SL(2,ℤ/4)C22semidirect
17. C2×D3×S4C2×C3semidirect
20. C22×C3×D12D3semidirect
23. A4×D12C2×C3semidirect
24. C4⋊(C3⋊S4)C2×C3semidirect
29. C3×C4×S4D3semidirect
30. C3×C4×S4C2×C3semidirect
31. #64210C2×C3semidirect
44. C32×S4D4semidirect
53. C23×C3×D3C2×D3semidirect
56. C2×D3×A4C22×C3semidirect
57. C2×C3⋊S4C22×C3semidirect
67. C22×C32×C4C2×D3semidirect
88. C3×C4×A4C2×D3semidirect
89. C3×C4×A4C22×C3semidirect
92. C3×SL(2,ℤ/4)C2×D3semidirect
93. C3×SL(2,ℤ/4)C22×C3semidirect
105. C32×A4C2×D4semidirect
115. C22×D12C3×D3semidirect
121. C4×S4C3×D3semidirect
165. C3×S4D12direct (N × H)
166. C3×S4C3×D4semidirect
196. C3×D12S4direct (N × H)
210. C23×D3C2×C3×D3semidirect
239. C22×C3×C4D32semidirect
240. C22×C3×C4C2×C3×D3semidirect
260. C4×A4C2×C3×D3semidirect
261. SL(2,ℤ/4)C2×C3×D3semidirect
288. C22×C32D3×D4semidirect
308. C2×C3×D3C2×S4semidirect
313. C3×A4C2×D12semidirect
314. C3×A4C2×C3×D4semidirect
326. C32×C4C2×S4semidirect
376. S4C3×D12direct (N × H)
437. D12C3×S4direct (N × H)
481. C22×C4C3×D32semidirect
519. C22×C3D3×D12semidirect
520. C22×C3C3×D3×D4semidirect
535. C2×D3C2×C3×S4semidirect
539. A4C2×C3×D12semidirect
558. C3×C4D3×S4semidirect
559. C3×C4C2×C3×S4semidirect
568. C32D4×S4semidirect
647. C22C3×D3×D12semidirect
653. C4C3×D3×S4semidirect
659. C3D12×S4direct (N × H)
660. C3C3×D4×S4semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D3×S42
C3×A4×D122
C3×C4⋊(C3⋊S4)2
C32×C4×S42
C3×#642102
C3×D4×S43
D12×S43
C3×D4×D123
C3×D3×D124