Finite Group Databasebeta

← C2×C3×#64269 #13181392

Subgroups — C2×C3×#64269 #13181392

Order 1728.

1670 conjugacy classes of subgroups; only the 150 normal subgroups are shown.

normal subgroups only

This group has 1670 conjugacy classes of subgroups — too many to draw. Only its 150 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
1C23×C32×A4C211yesmaximal, characteristic, complemented
2C22×C3×C3⋊S4C211yesmaximal, characteristic, complemented
3C3×#64269C214yesmaximal, direct product factor
4C2×C3×C3⋊SL(2,ℤ/4)C211yesmaximal, characteristic, complemented
5C2×#64269C311yesmaximal, characteristic, direct product factor
6C2×C3×GL(2,ℤ/4)—33nomaximal
7C2×C3×#953—31nomaximal
8C22×C32×A4—22no—
9C22×C32×A4C2211yescharacteristic
10C22×C32×A4C2212yescomplemented
11C2×C3×C3⋊S4—22no—
12C2×C3×C3⋊S4C2212yescomplemented
13C2×C3×#638—41nomaximal
14C3×C3⋊SL(2,ℤ/4)C2212yescomplemented
15C25×C32D311yescharacteristic, complemented
16C23×C3×A4—23no—
17C23×C3×A4—21no—
18C23×C3×A4D313yescomplemented
19C23×C3×A4C2×C311yescharacteristic, complemented
20C22×C3⋊S4C2×C311yescharacteristic, complemented
21C22×C3×S4—33no—
22C22×C3×#67—31no—
23C22×C3×#67—31no—
24C22×C3×#67—31no—
25#64269C2×C314yesdirect product factor
26C2×C3⋊SL(2,ℤ/4)C2×C311yescharacteristic, complemented
27C3×GL(2,ℤ/4)—312no—
28C2×C3×SL(2,ℤ/4)—33no—
29C3×#953—34no—
30C3×#953—34no—
31C2×C3×#217—31no—
32C2×C3×#217—31no—
33C2×C3×#217—31no—
34C23×C33—41no—
35C22×C3×C3⋊D3—41no—
36C2×C32×A4—22no—
37C2×C32×A4D412yescomplemented
38C2×C32×A4C2311yescharacteristic
39C3×C3⋊S4—22no—
40C3×#638—44no—
41C2×C3×C3⋊Dic3—41no—
42C2×GL(2,ℤ/4)—33no—
43C2×C3×#120—91no—
44C2×#953—31no—
45C24×C32—22no—
46C24×C32—31no—
47C24×C32—31no—
48C24×C32—32no—
49C24×C32—62no—
50C24×C32C2×D311yescharacteristic
51C24×C32C2×D312yescomplemented
52C23×C3×D3—31no—
53C22×C3×A4—24no—
54C22×C3×A4—212no—
55C22×C3×A4—21no—
56C22×C3×A4—22no—
57C22×C3×A4—23no—
58C22×C3×A4—26no—
59C22×C3×A4—26no—
60C22×C3×A4—22no—
61C22×C3×A4C2×D313yes—
62C22×C3×A4C2×D316yescomplemented
63C22×C3×A4C22×C311yescharacteristic
64C22×C3×A4C22×C312yescomplemented
65C2×C3⋊S4—22no—
66C2×C3⋊S4C22×C312yescomplemented
67C2×C3×S4—36no—
68C2×C3×S4—66no—
69C2×#638—41no—
70C2×C3×#67—32no—
71C2×C3×#67—34no—
72C2×C3×#67—34no—
73C2×C3×#67—32no—
74C2×C3×#67—62no—
75C2×C3×#67—64no—
76C2×C3×#67—62no—
77C2×C3×#67—61no—
78C2×C3×#67—62no—
79C2×C3×#67—61no—
80C2×C3×#67—123no—
81C22×C3×Dic3—31no—
82C22×C3×Dic3—31no—
83C22×C3×Dic3—31no—
84C3⋊SL(2,ℤ/4)C22×C312yescomplemented
85C3×SL(2,ℤ/4)—36no—
86C3×#217—32no—
87C3×#217—34no—
88C3×#217—34no—
89C3×#217—32no—
90C22×C33—41no—
91C22×C33—42no—
92C22×C33—82no—
93C2×C3×C3⋊D3—42no—
94C2×C3×C3⋊D3—82no—
95C32×A4C2×D411yescharacteristic, complemented
96C3×C3⋊Dic3—42no—
97C25×C3—21no—
98C25×C3C3×D311yescharacteristic, complemented
99C25×C3C3⋊D311yescharacteristic, complemented
100C23×A4—23no—
101C23×A4C3×D313yescomplemented
102C22×S4—33no—
103C22×C3×D4—91no—
104C22×C3×D4—91no—
105C22×C3×D4—91no—
106C22×#67—31no—
107C22×#67—31no—
108C22×#67—31no—
109GL(2,ℤ/4)—312no—
110C2×SL(2,ℤ/4)—33no—
111C3×#120—94no—
112C3×#120—94no—
113C2×C3×C22⋊C4—91no—
114C2×C3×C22⋊C4—91no—
115C2×C3×C22⋊C4—91no—
116#953—34no—
117#953—34no—
118C2×#217—31no—
119C2×#217—31no—
120C2×#217—31no—
121C23×C32—22no—
122C23×C32—31no—
123C23×C32—31no—
124C23×C32—32no—
125C23×C32—32no—
126C23×C32—34no—
127C23×C32—31no—
128C23×C32—32no—
129C23×C32—32no—
130C23×C32—41no—
131C23×C32—43no—
132C23×C32—62no—
133C23×C32—62no—
134C23×C32—62no—
135C23×C32—61no—
136C23×C32—64no—
137C23×C32—62no—
138C23×C32—64no—
139C23×C32—83no—
140C23×C32—81no—
141C23×C32#6712yescomplemented
142C23×C32S411yescharacteristic, complemented
143C23×C32C22×D311yescharacteristic
144C22×C3⋊D3—41no—
145C22×C3×D3—32no—
146C22×C3×D3—62no—
147C22×C3×D3—62no—
148C22×C3×D3—61no—
149C22×C3×D3—61no—
150C22×C3×D3—123no—
151C2×C3×A4—24no—
152C2×C3×A4—212no—
153C2×C3×A4—26no—
154C2×C3×A4—22no—
155C2×C3×A4—22no—
156C2×C3×A4—21no—
157C2×C3×A4—26no—
158C2×C3×A4—23no—
159C2×C3×A4#6716yescomplemented
160C2×C3×A4C3×D412yescomplemented
161C2×C3×A4C22×D313yes—
162C2×C3×A4C23×C311yescharacteristic
163C3⋊S4—22no—
164C3×S4—66no—
165#638—44no—
166C2×C3⋊Dic3—41no—
167C3×#67—64no—
168C3×#67—62no—
169C3×#67—68no—
170C3×#67—64no—
171C3×#67—62no—
172C3×#67—64no—
173C3×#67—1212no—
174C2×C3×Dic3—32no—
175C2×C3×Dic3—32no—
176C2×C3×Dic3—32no—
177C2×C3×Dic3—62no—
178C2×C3×Dic3—62no—
179C2×C3×Dic3—61no—
180C2×C3×Dic3—61no—
181C2×C3×Dic3—123no—
182C2×#120—91noSylow
183C2×C33—42no—
184C2×C33—41no—
185C2×C33—82no—
186C3×C3⋊D3—82no—
187C24×C3—24no—
188C24×C3—22no—
189C24×C3—22no—
190C24×C3—21no—
191C24×C3—22no—
192C24×C3—31no—
193C24×C3—31no—
194C24×C3—31no—
195C24×C3—31no—
196C24×C3—32no—
197C24×C3—32no—
198C24×C3—61no—
199C24×C3—61no—
200C24×C3—62no—
201C24×C3—62no—
202C24×C3—62no—
203C24×C3—64no—
204C24×C3—91no—
205C24×C3C2×C3×D311yescharacteristic
206C24×C3C2×C3×D312yescomplemented
207C24×C3C2×C3⋊D311yescharacteristic
208C24×C3C2×C3⋊D312yescomplemented
209C23×D3—31no—
210C22×A4—212no—
211C22×A4—26no—
212C22×A4—23no—
213C22×A4—26no—
214C22×A4C2×C3×D313yes—
215C22×A4C2×C3×D316yescomplemented
216C2×S4—36no—
217C2×S4—66no—
218C2×C3×D4—92no—
219C2×C3×D4—94no—
220C2×C3×D4—94no—
221C2×C3×D4—92no—
222C2×C3×D4—182no—
223C2×C3×D4—184no—
224C2×C3×D4—182no—
225C2×C3×D4—181no—
226C2×C3×D4—182no—
227C2×C3×D4—181no—
228C22×C3×C4—91no—
229C22×C3×C4—91no—
230C22×C3×C4—91no—
231C2×#67—32no—
232C2×#67—34no—
233C2×#67—34no—
234C2×#67—32no—
235C2×#67—62no—
236C2×#67—64no—
237C2×#67—62no—
238C2×#67—61no—
239C2×#67—62no—
240C2×#67—61no—
241C2×#67—123no—
242C22×Dic3—31no—
243C22×Dic3—31no—
244C22×Dic3—31no—
245SL(2,ℤ/4)—36no—
246C3×C22⋊C4—92no—
247C3×C22⋊C4—94no—
248C3×C22⋊C4—94no—
249C3×C22⋊C4—92no—
250#217—32no—
251#217—34no—
252#217—34no—
253#217—32no—
254C22×C32—22no—
255C22×C32—32no—
256C22×C32—31no—
257C22×C32—32no—
258C22×C32—32no—
259C22×C32—31no—
260C22×C32—31no—
261C22×C32—34no—
262C22×C32—32no—
263C22×C32—41no—
264C22×C32—42no—
265C22×C32—43no—
266C22×C32—46no—
267C22×C32—62no—
268C22×C32—62no—
269C22×C32—64no—
270C22×C32—61no—
271C22×C32—62no—
272C22×C32—64no—
273C22×C32—62no—
274C22×C32—83no—
275C22×C32—86no—
276C22×C32—82no—
277C22×C32—86no—
278C22×C32—812no—
279C22×C32—84no—
280C22×C32—81no—
281C22×C32—82no—
282C22×C32C2×#6711yescharacteristic, complemented
283C22×C32C2×S411yescharacteristic
284C22×C32C2×S412yescomplemented
285C2×C3⋊D3—42no—
286C2×C3⋊D3—82no—
287C2×C3×D3—62no—
288C2×C3×D3—62no—
289C2×C3×D3—62no—
290C2×C3×D3—126no—
291C2×C3×D3—122no—
292C2×C3×D3—122no—
293C2×C3×D3—246no—
294C3×A4—21no—
295C3×A4—23no—
296C3×A4C2×#6713yescomplemented
297C3×A4C2×C3×D411yescharacteristic, complemented
298C3⋊Dic3—42no—
299C3×Dic3—62no—
300C3×Dic3—62no—
301C3×Dic3—62no—
302C3×Dic3—126no—
303C25C3×C3⋊D311yescharacteristic, complemented
304C22×D4—91no—
305C22×D4—91no—
306C22×D4—91no—
307#120—94no—
308#120—94no—
309C2×C22⋊C4—91no—
310C2×C22⋊C4—91no—
311C2×C22⋊C4—91no—
312C33—41noSylow
313C23×C3—24no—
314C23×C3—22no—
315C23×C3—22no—
316C23×C3—22no—
317C23×C3—21no—
318C23×C3—21no—
319C23×C3—31no—
320C23×C3—31no—
321C23×C3—31no—
322C23×C3—32no—
323C23×C3—31no—
324C23×C3—32no—
325C23×C3—32no—
326C23×C3—32no—
327C23×C3—34no—
328C23×C3—34no—
329C23×C3—31no—
330C23×C3—32no—
331C23×C3—32no—
332C23×C3—31no—
333C23×C3—32no—
334C23×C3—32no—
335C23×C3—43no—
336C23×C3—61no—
337C23×C3—62no—
338C23×C3—61no—
339C23×C3—62no—
340C23×C3—61no—
341C23×C3—62no—
342C23×C3—62no—
343C23×C3—64no—
344C23×C3—62no—
345C23×C3—62no—
346C23×C3—62no—
347C23×C3—62no—
348C23×C3—64no—
349C23×C3—64no—
350C23×C3—62no—
351C23×C3—62no—
352C23×C3—61no—
353C23×C3—61no—
354C23×C3—64no—
355C23×C3—64no—
356C23×C3—62no—
357C23×C3—62no—
358C23×C3—64no—
359C23×C3—64no—
360C23×C3—64no—
361C23×C3—64no—
362C23×C3—68no—
363C23×C3—62no—
364C23×C3—68no—
365C23×C3—83no—
366C23×C3—92no—
367C23×C3—182no—
368C23×C3—182no—
369C23×C3—181no—
370C23×C3—181no—
371C23×C3C3×#6712yescomplemented
372C23×C3#63812yescomplemented
373C23×C3C3×S411yescharacteristic, complemented
374C23×C3C3⋊S411yescharacteristic, complemented
375C23×C3C22×C3×D311yescharacteristic
376C23×C3C22×C3⋊D311yescharacteristic
377C22×D3—32no—
378C22×D3—62no—
379C22×D3—62no—
380C22×D3—61no—
381C22×D3—61no—
382C22×D3—123no—
383C2×A4—212no—
384C2×A4—26no—
385C2×A4—26no—
386C2×A4—23no—
387C2×A4C3×#6716yescomplemented
388C2×A4C22×C3×D313yes—
389S4—66no—
390C3×D4—184no—
391C3×D4—182no—
392C3×D4—188no—
393C3×D4—184no—
394C3×D4—184no—
395C3×D4—182no—
396C2×C3×C4—92no—
397C2×C3×C4—92no—
398C2×C3×C4—92no—
399C2×C3×C4—182no—
400C2×C3×C4—182no—
401C2×C3×C4—181no—
402C2×C3×C4—181no—
403#67—64no—
404#67—62no—
405#67—68no—
406#67—64no—
407#67—64no—
408#67—62no—
409#67—1212no—
410C2×Dic3—32no—
411C2×Dic3—32no—
412C2×Dic3—32no—
413C2×Dic3—62no—
414C2×Dic3—62no—
415C2×Dic3—61no—
416C2×Dic3—61no—
417C2×Dic3—123no—
418C2×C32—22no—
419C2×C32—31no—
420C2×C32—31no—
421C2×C32—32no—
422C2×C32—42no—
423C2×C32—41no—
424C2×C32—46no—
425C2×C32—43no—
426C2×C32—62no—
427C2×C32—86no—
428C2×C32—83no—
429C2×C32—82no—
430C2×C32—86no—
431C2×C32—812no—
432C2×C32—84no—
433C2×C32—82no—
434C2×C32—81no—
435C2×C32GL(2,ℤ/4)12yescomplemented
436C2×C32C22×S411yescharacteristic
437C3⋊D3—82no—
438C3×D3—122no—
439C3×D3—246no—
440C24—22no—
441C24—31no—
442C24—31no—
443C24—32no—
444C24—62no—
445C24—91no—
446C24C2×C3×C3⋊D311yescharacteristic
447C24C2×C3×C3⋊D312yescomplemented
448C2×D4—92no—
449C2×D4—94no—
450C2×D4—94no—
451C2×D4—92no—
452C2×D4—182no—
453C2×D4—184no—
454C2×D4—182no—
455C2×D4—181no—
456C2×D4—182no—
457C2×D4—181no—
458C22×C4—91no—
459C22×C4—91no—
460C22×C4—91no—
461C22⋊C4—92no—
462C22⋊C4—94no—
463C22⋊C4—94no—
464C22⋊C4—92no—
465C22×C3—24no—
466C22×C3—22no—
467C22×C3—22no—
468C22×C3—21no—
469C22×C3—22no—
470C22×C3—21no—
471C22×C3—32no—
472C22×C3—31no—
473C22×C3—32no—
474C22×C3—31no—
475C22×C3—32no—
476C22×C3—32no—
477C22×C3—32no—
478C22×C3—32no—
479C22×C3—31no—
480C22×C3—31no—
481C22×C3—31no—
482C22×C3—31no—
483C22×C3—34no—
484C22×C3—34no—
485C22×C3—32no—
486C22×C3—32no—
487C22×C3—43no—
488C22×C3—46no—
489C22×C3—62no—
490C22×C3—61no—
491C22×C3—62no—
492C22×C3—61no—
493C22×C3—62no—
494C22×C3—62no—
495C22×C3—61no—
496C22×C3—64no—
497C22×C3—62no—
498C22×C3—62no—
499C22×C3—62no—
500C22×C3—64no—
501C22×C3—62no—
502C22×C3—64no—
503C22×C3—64no—
504C22×C3—64no—
505C22×C3—68no—
506C22×C3—64no—
507C22×C3—61no—
508C22×C3—61no—
509C22×C3—62no—
510C22×C3—62no—
511C22×C3—64no—
512C22×C3—64no—
513C22×C3—64no—
514C22×C3—62no—
515C22×C3—68no—
516C22×C3—62no—
517C22×C3—62no—
518C22×C3—86no—
519C22×C3—812no—
520C22×C3—83no—
521C22×C3—86no—
522C22×C3—182no—
523C22×C3—182no—
524C22×C3—182no—
525C22×C3—362no—
526C22×C3—362no—
527C22×C3C2×C3×#6711yescharacteristic, complemented
528C22×C3C2×#63811yescharacteristic, complemented
529C22×C3C2×C3×S411yescharacteristic
530C22×C3C2×C3×S412yescomplemented
531C22×C3C2×C3⋊S411yescharacteristic
532C22×C3C2×C3⋊S412yescomplemented
533C2×D3—62no—
534C2×D3—62no—
535C2×D3—62no—
536C2×D3—126no—
537C2×D3—122no—
538C2×D3—122no—
539C2×D3—246no—
540A4—23no—
541A4C2×C3×#6713yescomplemented
542C3×C4—182no—
543C3×C4—182no—
544C3×C4—182no—
545Dic3—62no—
546Dic3—62no—
547Dic3—62no—
548Dic3—126no—
549C32—41no—
550C32—43no—
551C32—83no—
552C32—81no—
553C32C2×GL(2,ℤ/4)11yescharacteristic, complemented
554C23—22no—
555C23—31no—
556C23—31no—
557C23—32no—
558C23—32no—
559C23—34no—
560C23—31no—
561C23—32no—
562C23—32no—
563C23—62no—
564C23—62no—
565C23—62no—
566C23—61no—
567C23—64no—
568C23—62no—
569C23—64no—
570C23—92no—
571C23—182no—
572C23—182no—
573C23—181no—
574C23—181no—
575C23C3×#63812yescomplemented
576C23C3×C3⋊S411yescharacteristic, complemented
577C23C22×C3×C3⋊D311yescharacteristic
578D4—184no—
579D4—182no—
580D4—188no—
581D4—184no—
582D4—184no—
583D4—182no—
584C2×C4—92no—
585C2×C4—92no—
586C2×C4—92no—
587C2×C4—182no—
588C2×C4—182no—
589C2×C4—181no—
590C2×C4—181no—
591C2×C3—24no—
592C2×C3—22no—
593C2×C3—22no—
594C2×C3—22no—
595C2×C3—21no—
596C2×C3—31no—
597C2×C3—31no—
598C2×C3—32no—
599C2×C3—31no—
600C2×C3—31no—
601C2×C3—32no—
602C2×C3—46no—
603C2×C3—43no—
604C2×C3—61no—
605C2×C3—61no—
606C2×C3—62no—
607C2×C3—64no—
608C2×C3—62no—
609C2×C3—62no—
610C2×C3—86no—
611C2×C3—812no—
612C2×C3—86no—
613C2×C3—83no—
614C2×C3—362no—
615C2×C3C3×GL(2,ℤ/4)12yescomplemented
616C2×C3#6426912yesdirect product factor
617C2×C3C22×C3×S411yescharacteristic
618C2×C3C22×C3⋊S411yescharacteristic
619D3—122no—
620D3—246no—
621C22—22no—
622C22—32no—
623C22—31no—
624C22—32no—
625C22—32no—
626C22—31no—
627C22—31no—
628C22—34no—
629C22—32no—
630C22—62no—
631C22—62no—
632C22—64no—
633C22—61no—
634C22—62no—
635C22—64no—
636C22—62no—
637C22—182no—
638C22—182no—
639C22—182no—
640C22—362no—
641C22—362no—
642C22C2×C3×#63811yescharacteristic, complemented
643C22C2×C3×C3⋊S411yescharacteristic
644C22C2×C3×C3⋊S412yescomplemented
645C4—182no—
646C4—182no—
647C4—182no—
648C3—21no—
649C3—43no—
650C3—83no—
651C3C2×C3×GL(2,ℤ/4)11yescharacteristic, complemented
652C3C2×#6426911yescharacteristic, direct product factor
653C2—22no—
654C2—31no—
655C2—31no—
656C2—32no—
657C2—62no—
658C2—362no—
659C2C3×#6426912yesdirect product factor
660C2C22×C3×C3⋊S411yescharacteristic
subgroupG/H
centerC22×C3C2×C3⋊S4
commutator, cosocleC2×C3×A4C23×C3
FrattiniC2C22×C3×C3⋊S4
FittingC25×C32D3
socleC24×C32C2×D3
hypercenterC23×C3C3⋊S4
hypocenterC3×A4C2×C3×D4
LCSG ▷ C2×C3×A4 ▷ C3×A4
UCSC1 ◁ C22×C3 ◁ C23×C3

Complements

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

NH ≅ G/Ntype
1. C23×C32×A4C2semidirect
2. C22×C3×C3⋊S4C2semidirect
3. C3×#64269C2direct (N × H)
4. C2×C3×C3⋊SL(2,ℤ/4)C2semidirect
5. C2×#64269C3direct (N × H)
10. C22×C32×A4C22semidirect
12. C2×C3×C3⋊S4C22semidirect
14. C3×C3⋊SL(2,ℤ/4)C22semidirect
15. C25×C32D3semidirect
18. C23×C3×A4D3semidirect
19. C23×C3×A4C2×C3semidirect
20. C22×C3⋊S4C2×C3semidirect
25. #64269C2×C3direct (N × H)
26. C2×C3⋊SL(2,ℤ/4)C2×C3semidirect
37. C2×C32×A4D4semidirect
51. C24×C32C2×D3semidirect
62. C22×C3×A4C2×D3semidirect
64. C22×C3×A4C22×C3semidirect
66. C2×C3⋊S4C22×C3semidirect
84. C3⋊SL(2,ℤ/4)C22×C3semidirect
95. C32×A4C2×D4semidirect
98. C25×C3C3×D3semidirect
99. C25×C3C3⋊D3semidirect
101. C23×A4C3×D3semidirect
141. C23×C32#67semidirect
142. C23×C32S4semidirect
159. C2×C3×A4#67semidirect
160. C2×C3×A4C3×D4semidirect
206. C24×C3C2×C3×D3semidirect
208. C24×C3C2×C3⋊D3semidirect
215. C22×A4C2×C3×D3semidirect
282. C22×C32C2×#67semidirect
284. C22×C32C2×S4semidirect
296. C3×A4C2×#67semidirect
297. C3×A4C2×C3×D4semidirect
303. C25C3×C3⋊D3semidirect
371. C23×C3C3×#67semidirect
372. C23×C3#638semidirect
373. C23×C3C3×S4semidirect
374. C23×C3C3⋊S4semidirect
387. C2×A4C3×#67semidirect
435. C2×C32GL(2,ℤ/4)semidirect
447. C24C2×C3×C3⋊D3semidirect
527. C22×C3C2×C3×#67semidirect
528. C22×C3C2×#638semidirect
530. C22×C3C2×C3×S4semidirect
532. C22×C3C2×C3⋊S4semidirect
541. A4C2×C3×#67semidirect
553. C32C2×GL(2,ℤ/4)semidirect
575. C23C3×#638semidirect
576. C23C3×C3⋊S4semidirect
615. C2×C3C3×GL(2,ℤ/4)semidirect
616. C2×C3#64269direct (N × H)
642. C22C2×C3×#638semidirect
644. C22C2×C3×C3⋊S4semidirect
651. C3C2×C3×GL(2,ℤ/4)semidirect
652. C3C2×#64269direct (N × H)
659. C2C3×#64269direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C32×A42
C22×C3×C3⋊S42
C3×#642692
C2×C3×C3⋊SL(2,ℤ/4)2
C2×#642693
C2×C3×GL(2,ℤ/4)3
C2×C3×#9533
C2×C3×#6384