Finite Group Databasebeta

← C2×#78980 #11659496

Subgroups — C2×#78980 #11659496

Order 768.

2674 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5822C211yesmaximal, characteristic
2C2×#5819C211yesmaximal, characteristic, complemented
3C2×#5745C211yesmaximal, characteristic, complemented
4C22×C3×#104C211yesmaximal, characteristic, complemented
5C2×#5124C211yesmaximal, characteristic, complemented
6C22×#805C211yesmaximal, characteristic, complemented
7C2×C4×#208C211yesmaximal, characteristic, complemented
8#78980C2116yesmaximal, direct product factor
9C2×#4823C214yesmaximal, complemented
10C2×#4824C214yesmaximal, complemented
11C2×#2956—31nomaximal, Sylow
12C22×C3×#41C2211yescharacteristic
13C22×#235C2211yescharacteristic
14C22×C3×M16C2211yescharacteristic
15C22×C3×C42C2211yescharacteristic
16C2×#951C412yescomplemented
17#5822C418yescomplemented
18#5822C2218yes—
19C2×#950C2214yes—
20C2×#949C412yescomplemented
21#5819—24no—
22#5819C2218yescomplemented
23C2×#948—22no—
24C2×#948C2214yescomplemented
25C2×#942C412yescomplemented
26C2×#932C412yescomplemented
27C22×#208—22no—
28C22×#208C2211yescharacteristic
29C22×#208C2211yescharacteristic
30C22×#208C2211yescharacteristic
31#5745—24no—
32#5745C2218yescomplemented
33C2×#907C2214yescomplemented
34C2×D3×M16—22no—
35C2×#901—22no—
36C2×C3×#104C2212yescomplemented
37C2×C3×#104C2212yescomplemented
38C2×C3×#104C2218yescomplemented
39#5124C2218yescomplemented
40C2×#822C2214yescomplemented
41C2×#805C2212yescomplemented
42C2×#805C2212yescomplemented
43C2×#805C2218yescomplemented
44C4×#208C2218yescomplemented
45C2×#803C2212yescomplemented
46C2×C4×C3⋊C8C2212yescomplemented
47#4824C22132yescomplemented
48#4823C22132yescomplemented
49C2×#575—31no—
50C2×#568—31no—
51C2×#568—31no—
52#2956—316no—
53C2×#444—34no—
54C2×#443—34no—
55C2×#430—31no—
56C22×#104—31no—
57C22×#104D311yescharacteristic, complemented
58C2×C4×M16—31no—
59C2×C3×#41—21no—
60C2×C3×#41—22no—
61C2×C3×#41—21no—
62C2×C3×#41—22no—
63C2×C3×#41C2×C412yes—
64C2×C3×#41C2×C414yes—
65C2×C3×#41C2312yes—
66C2×C3×#41C2314yes—
67C22×C3×Q8C2×C411yescharacteristic
68C22×C3×D4—21no—
69C22×C3×D4C2×C411yescharacteristic
70C23×C3×C4—21no—
71C23×C3×C4—21no—
72C23×C3×C4C2311yescharacteristic
73C22×#67—21no—
74C2×#235—21no—
75C2×#235—22no—
76C2×#235—21no—
77C2×#235—22no—
78C2×#235C2×C412yes—
79C2×#235C2×C414yes—
80C2×#235C2312yes—
81C2×#235C2314yes—
82C22×D12C2×C411yescharacteristic
83C22×C4×D3—21no—
84C22×Dic6C2×C411yescharacteristic
85C2×C3×M16—21no—
86C2×C3×M16—22no—
87C2×C3×M16C2312yes—
88C2×C3×M16C2314yes—
89C22×C3×C8—21no—
90C2×C3×C42—21no—
91C2×C3×C42—22no—
92C2×C3×C42C2311yescharacteristic
93C2×C3×C42C2311yescharacteristic
94C2×C3×C42C2314yes—
95#951C2×C4116yescomplemented
96#950C2×C4116yescomplemented
97#950C23116yes—
98#949C2×C4116yescomplemented
99#948—216no—
100#948—28no—
101#948C23116yescomplemented
102C2×#216C2×C414yescomplemented
103#942C2×C4116yescomplemented
104C2×#215C2×C414yescomplemented
105C2×#214C2×C414yescomplemented
106#932C2×C4116yescomplemented
107C2×#213C2×C414yescomplemented
108C2×#208—21no—
109C2×#208—22no—
110C2×#208—216no—
111C2×#208—24no—
112C2×#208C2×C412yes—
113C2×#208C2×C412yes—
114C2×#208C2×C414yes—
115C2×#208D412yes—
116C2×#208D412yes—
117C2×#208D414yes—
118C2×#208C2312yes—
119C2×#208C2314yes—
120C2×#208C2314yes—
121C2×#208C2314yes—
122C22×C3⋊C8—21no—
123C22×C3⋊C8—24no—
124C22×C3⋊C8C2312yes—
125C22×C3⋊C8C2312yes—
126#907—28no—
127#907C23116yescomplemented
128D3×M16—216no—
129#901—216no—
130C2×ΓL(1,𝔽25)—24no—
131C2×D3×C8—24no—
132C3×#104C2318yescomplemented
133C3×#104C2318yescomplemented
134#822C23116yescomplemented
135#805C2318yescomplemented
136#805C2318yescomplemented
137#803C2318yescomplemented
138C4×C3⋊C8C2318yescomplemented
139C22×#41—31no—
140C22×#41C2×D311yescharacteristic
141#575—38no—
142#575—38no—
143C2×#137—32no—
144C2×#137—32no—
145C2×AGL(1,ℤ/8)—32no—
146C2×AGL(1,ℤ/8)—32no—
147C2×#135—34no—
148#568—38no—
149#568—38no—
150#568—64no—
151#568—64no—
152C2×#131—34no—
153C2×#131—34no—
154C2×#131—62no—
155C2×#131—62no—
156C22×M16—31no—
157C22×M16—31no—
158C22×M16—31no—
159C22×M16—62no—
160C22×M16—62no—
161C22×M16C2×D311yescharacteristic
162C22×C42C2×D311yescharacteristic
163#444—332no—
164#443—332no—
165#430—38no—
166C2×#108—34no—
167C2×#104—32no—
168C2×#104—32no—
169C2×#104—38no—
170C2×#104C2×D312yescomplemented
171C2×#104C2×D312yescomplemented
172C2×#104C2×D318yescomplemented
173C4×M16—38no—
174C2×#97—32no—
175C2×C4×C8—32no—
176C24×C3—21no—
177C24×C3#4111yescharacteristic
178C23×D3—21no—
179C3×#41—24no—
180C3×#41—24no—
181C3×#41—24no—
182C3×#41—24no—
183C3×#41—22no—
184C3×#41—22no—
185C3×#41—24no—
186C3×#41C22×C418yes—
187C3×#41C22×C414yes—
188C3×#41C2414yes—
189C2×C3×Q8—21no—
190C2×C3×Q8—22no—
191C2×C3×Q8C22×C412yes—
192C2×C3×Q8C22×C414yes—
193C2×C3×D4—22no—
194C2×C3×D4—24no—
195C2×C3×D4—22no—
196C2×C3×D4—24no—
197C2×C3×D4—21no—
198C2×C3×D4—22no—
199C2×C3×D4C22×C412yes—
200C2×C3×D4C22×C414yes—
201C22×C3×C4—21no—
202C22×C3×C4—21no—
203C22×C3×C4—22no—
204C22×C3×C4—24no—
205C22×C3×C4—22no—
206C22×C3×C4—24no—
207C22×C3×C4—24no—
208C22×C3×C4—21no—
209C22×C3×C4—44no—
210C22×C3×C4C22×C411yescharacteristic
211C22×C3×C4C22×C411yescharacteristic
212C22×C3×C4C22×C412yes—
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D412yes—
216C22×C3×C4#4111yescharacteristic
217C22×C3×C4#4112yes—
218C22×C3×C4C2411yescharacteristic
219C22×C3×C4C2412yes—
220C2×#67—22no—
221C2×#67—24no—
222C2×#67—22no—
223C2×#67—24no—
224C22×Dic3—21no—
225#235—24no—
226#235—24no—
227#235—24no—
228#235—24no—
229#235—22no—
230#235—22no—
231#235—24no—
232#235C22×C418yes—
233#235C22×C414yes—
234#235C2414yes—
235C2×D12—21no—
236C2×D12—22no—
237C2×D12C22×C412yes—
238C2×D12C22×C414yes—
239C2×C4×D3—22no—
240C2×C4×D3—24no—
241C2×C4×D3—22no—
242C2×C4×D3—24no—
243C2×Dic6—21no—
244C2×Dic6—22no—
245C2×Dic6C22×C412yes—
246C2×Dic6C22×C414yes—
247C3×M16—24no—
248C3×M16—22no—
249C3×M16C2414yes—
250C2×C3×C8—22no—
251C2×C3×C8—24no—
252C3×C42—21no—
253C3×C42—24no—
254C3×C42—21no—
255C3×C42C2412yes—
256C3×C42C2412yes—
257#216C22×C4116yescomplemented
258#215C22×C4116yescomplemented
259#214C22×C4116yescomplemented
260#213C22×C4116yescomplemented
261#208—24no—
262#208—22no—
263#208—216no—
264#208C22×C418yes—
265#208C22×C418yes—
266#208C2×D418yes—
267#208C2×D418yes—
268#208C2414yes—
269C2×C3⋊C8—22no—
270C2×C3⋊C8—24no—
271C2×C3⋊C8—216no—
272C2×C3⋊C8C22×C414yes—
273C2×C3⋊C8C22×C414yes—
274C2×C3⋊C8C2×D414yes—
275C2×C3⋊C8C2×D414yes—
276C2×C3⋊C8C2414yes—
277C2×C3⋊C8C2414yes—
278ΓL(1,𝔽25)—216no—
279D3×C8—216no—
280C2×#41—21no—
281C2×#41—22no—
282C2×#41—21no—
283C2×#41—22no—
284C2×#41—32no—
285C2×#41—34no—
286C2×#41—32no—
287C2×#41—34no—
288C2×#41—61no—
289C2×#41—62no—
290C2×#41—61no—
291C2×#41—62no—
292C2×#41C4×D312yes—
293C2×#41C4×D314yes—
294C2×#41C22×D312yes—
295C2×#41C22×D314yes—
296C22×Q8—31no—
297C22×Q8C4×D311yescharacteristic
298C22×D4—21no—
299C22×D4—31no—
300C22×D4—61no—
301C22×D4C4×D311yescharacteristic
302C23×C4—21no—
303C23×C4—21no—
304C23×C4—61no—
305C23×C4C22×D311yescharacteristic
306#137—316no—
307#137—316no—
308AGL(1,ℤ/8)—316no—
309AGL(1,ℤ/8)—316no—
310#135—316no—
311#135—316no—
312C2×Q16—34no—
313C2×SD16—34no—
314C2×SD16—34no—
315C2×D8—34no—
316#131—316no—
317#131—316no—
318#131—616no—
319#131—68no—
320#131—68no—
321#131—616no—
322C2×M16—21no—
323C2×M16—22no—
324C2×M16—32no—
325C2×M16—32no—
326C2×M16—34no—
327C2×M16—32no—
328C2×M16—32no—
329C2×M16—34no—
330C2×M16—34no—
331C2×M16—34no—
332C2×M16—32no—
333C2×M16—34no—
334C2×M16—64no—
335C2×M16—64no—
336C2×M16—616no—
337C2×M16—616no—
338C2×M16—61no—
339C2×M16—62no—
340C2×M16C22×D312yes—
341C2×M16C22×D314yes—
342C22×C8—21no—
343C22×C8—32no—
344C22×C8—32no—
345C22×C8—64no—
346C22×C8—64no—
347C22×C8—61no—
348C2×C42—21no—
349C2×C42—22no—
350C2×C42C22×D311yescharacteristic
351C2×C42C22×D311yescharacteristic
352C2×C42C22×D314yes—
353#108—316no—
354#104—38no—
355#104—38no—
356#104C22×D318yescomplemented
357#104C22×D318yescomplemented
358#97—38no—
359C4×C8—38no—
360C23×C3—22no—
361C23×C3—24no—
362C23×C3—42no—
363C23×C3—82no—
364C23×C3C4×D411yescharacteristic
365C23×C3C4×D411yescharacteristic
366C23×C3C4×D412yes—
367C23×C3C2×#4111yescharacteristic
368C23×C3C2×#4112yes—
369C22×D3—22no—
370C22×D3—24no—
371C22×D3—82no—
372C3×Q8—22no—
373C3×Q8—24no—
374C3×Q8C23×C414yes—
375C3×D4—28no—
376C3×D4—24no—
377C3×D4—24no—
378C3×D4—22no—
379C3×D4—24no—
380C3×D4C23×C414yes—
381C2×C3×C4—24no—
382C2×C3×C4—24no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—28no—
386C2×C3×C4—24no—
387C2×C3×C4—24no—
388C2×C3×C4—22no—
389C2×C3×C4—48no—
390C2×C3×C4—42no—
391C2×C3×C4C4×D411yescharacteristic
392C2×C3×C4C4×D412yes—
393C2×C3×C4C4×D411yescharacteristic
394C2×C3×C4C4×D412yes—
395C2×C3×C4C4×D412yes—
396C2×C3×C4C4×D412yes—
397C2×C3×C4C4×D412yes—
398C2×C3×C4C23×C411yescharacteristic
399C2×C3×C4C23×C411yescharacteristic
400C2×C3×C4C23×C412yes—
401C2×C3×C4C23×C412yes—
402C2×C3×C4C22×D412yes—
403C2×C3×C4C22×D411yescharacteristic
404C2×C3×C4C22×D412yes—
405C2×C3×C4C22×D411yescharacteristic
406C2×C3×C4C2×#4112yes—
407C2×C3×C4C2×#4111yescharacteristic
408C2×C3×C4C2511yescharacteristic
409#67—28no—
410#67—24no—
411#67—24no—
412C2×Dic3—24no—
413C2×Dic3—22no—
414D12—24no—
415D12—22no—
416D12C23×C414yes—
417C4×D3—24no—
418C4×D3—28no—
419C4×D3—24no—
420Dic6—24no—
421Dic6—22no—
422Dic6C23×C414yes—
423C3×C8—24no—
424C3⋊C8—24no—
425C3⋊C8C23×C418yes—
426C3⋊C8C22×D418yes—
427C24—21no—
428C24—61no—
429C24#23711yescharacteristic
430#41—24no—
431#41—24no—
432#41—24no—
433#41—22no—
434#41—24no—
435#41—22no—
436#41—24no—
437#41—34no—
438#41—38no—
439#41—34no—
440#41—64no—
441#41—64no—
442#41—64no—
443#41—64no—
444#41—62no—
445#41—62no—
446#41—64no—
447#41C2×C4×D314yes—
448#41C2×C4×D318yes—
449#41C23×D314yes—
450C2×Q8—21no—
451C2×Q8—22no—
452C2×Q8—32no—
453C2×Q8—34no—
454C2×Q8—61no—
455C2×Q8—62no—
456C2×Q8C2×C4×D312yes—
457C2×Q8C2×C4×D314yes—
458C2×D4—22no—
459C2×D4—24no—
460C2×D4—22no—
461C2×D4—24no—
462C2×D4—21no—
463C2×D4—22no—
464C2×D4—32no—
465C2×D4—34no—
466C2×D4—62no—
467C2×D4—64no—
468C2×D4—62no—
469C2×D4—64no—
470C2×D4—61no—
471C2×D4—62no—
472C2×D4C2×C4×D312yes—
473C2×D4C2×C4×D314yes—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—21no—
482C22×C4—44no—
483C22×C4—61no—
484C22×C4—62no—
485C22×C4—64no—
486C22×C4—64no—
487C22×C4—62no—
488C22×C4C2×C4×D311yescharacteristic
489C22×C4C2×C4×D311yescharacteristic
490C22×C4C2×C4×D312yes—
491C22×C4D3×D412yes—
492C22×C4D3×D411yescharacteristic
493C22×C4D3×D411yescharacteristic
494C22×C4#23711yescharacteristic
495C22×C4#23712yes—
496C22×C4C23×D312yes—
497C22×C4C23×D311yescharacteristic
498Q16—316no—
499SD16—316no—
500SD16—316no—
501D8—316no—
502M16—24no—
503M16—22no—
504M16—38no—
505M16—38no—
506M16—38no—
507M16—38no—
508M16—34no—
509M16—616no—
510M16—616no—
511M16—64no—
512M16—62no—
513M16C23×D314yes—
514C2×C8—24no—
515C2×C8—22no—
516C2×C8—34no—
517C2×C8—34no—
518C2×C8—34no—
519C2×C8—34no—
520C2×C8—34no—
521C2×C8—34no—
522C2×C8—616no—
523C2×C8—616no—
524C2×C8—64no—
525C2×C8—62no—
526C42—21no—
527C42—24no—
528C42—21no—
529C42C23×D312yes—
530C42C23×D312yes—
531C22×C3—22no—
532C22×C3—22no—
533C22×C3—22no—
534C22×C3—24no—
535C22×C3—42no—
536C22×C3—42no—
537C22×C3—44no—
538C22×C3—84no—
539C22×C3C2×C4×D412yes—
540C22×C3C2×C4×D412yes—
541C22×C3C2×C4×D411yescharacteristic
542C22×C3C2×C4×D411yescharacteristic
543C22×C3C22×#4111yescharacteristic
544C2×D3—24no—
545C2×D3—44no—
546C2×D3—84no—
547C3×C4—24no—
548C3×C4—24no—
549C3×C4—42no—
550C3×C4C2×C4×D412yes—
551C3×C4C2×C4×D411yescharacteristic
552C3×C4C2×C4×D411yescharacteristic
553C3×C4C2×C4×D412yes—
554C3×C4C24×C411yescharacteristic
555C3×C4C23×D411yescharacteristic
556Dic3—24no—
557C23—22no—
558C23—24no—
559C23—42no—
560C23—62no—
561C23—64no—
562C23—82no—
563C23—242no—
564C23#67⋊C411yescharacteristic
565C23#67⋊C411yescharacteristic
566C23#67⋊C412yes—
567C23C2×#23711yescharacteristic
568C23C2×#23712yes—
569Q8—24no—
570Q8—22no—
571Q8—34no—
572Q8—64no—
573Q8—62no—
574Q8C22×C4×D314yes—
575D4—24no—
576D4—28no—
577D4—24no—
578D4—24no—
579D4—22no—
580D4—34no—
581D4—64no—
582D4—68no—
583D4—64no—
584D4—64no—
585D4—62no—
586D4C22×C4×D314yes—
587C2×C4—24no—
588C2×C4—22no—
589C2×C4—24no—
590C2×C4—22no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—28no—
594C2×C4—22no—
595C2×C4—48no—
596C2×C4—42no—
597C2×C4—64no—
598C2×C4—62no—
599C2×C4—64no—
600C2×C4—64no—
601C2×C4—68no—
602C2×C4#67⋊C411yescharacteristic
603C2×C4#67⋊C412yes—
604C2×C4#67⋊C411yescharacteristic
605C2×C4#67⋊C412yes—
606C2×C4#67⋊C412yes—
607C2×C4#67⋊C412yes—
608C2×C4#67⋊C412yes—
609C2×C4C22×C4×D311yescharacteristic
610C2×C4C22×C4×D311yescharacteristic
611C2×C4C22×C4×D312yes—
612C2×C4C22×C4×D312yes—
613C2×C4C2×D3×D412yes—
614C2×C4C2×D3×D411yescharacteristic
615C2×C4C2×D3×D412yes—
616C2×C4C2×D3×D411yescharacteristic
617C2×C4C2×#23711yescharacteristic
618C2×C4C2×#23712yes—
619C2×C4C24×D311yescharacteristic
620C8—24no—
621C8—38no—
622C8—38no—
623C8—64no—
624C2×C3—21no—
625C2×C3—22no—
626C2×C3—22no—
627C2×C3—21no—
628C2×C3—44no—
629C2×C3#295612yescomplemented
630C2×C3C22×C4×D411yescharacteristic
631D3—44no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—24no—
636C22—42no—
637C22—42no—
638C22—44no—
639C22—64no—
640C22—84no—
641C22—124no—
642C22—244no—
643C22C2×#67⋊C412yes—
644C22C2×#67⋊C412yes—
645C22C2×#67⋊C411yescharacteristic
646C22C2×#67⋊C411yescharacteristic
647C22C22×#23711yescharacteristic
648C4—24no—
649C4—24no—
650C4—42no—
651C4—64no—
652C4C2×#67⋊C411yescharacteristic
653C4C2×#67⋊C412yes—
654C4C2×#67⋊C412yes—
655C4C2×#67⋊C411yescharacteristic
656C4C23×C4×D311yescharacteristic
657C4C22×D3×D411yescharacteristic
658C3C2×#295611yescharacteristic, complemented, Sylow
659C2—21no—
660C2—22no—
661C2—22no—
662C2—21no—
663C2—44no—
664C2—124no—
665C2#7898012yesdirect product factor
666C2C22×#67⋊C411yescharacteristic
subgroupG/H
centerC2×C4C2×D3×D4
commutatorC3×C4C24×C4
FrattiniC2×C4C24×D3
FittingC22×C3×#104C2
socleC22×C3C2×C4×D4
prime radicalC2×#5822C2
cosocleC2×C3×C4C25
hypercenterC22×#104D3
hypocenterC3C2×#2956
LCSG ▷ C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C22×#104

Complements

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

NH ≅ G/Ntype
2. C2×#5819C2semidirect
3. C2×#5745C2semidirect
4. C22×C3×#104C2semidirect
5. C2×#5124C2semidirect
6. C22×#805C2semidirect
7. C2×C4×#208C2semidirect
8. #78980C2direct (N × H)
9. C2×#4823C2semidirect
10. C2×#4824C2semidirect
16. C2×#951C4semidirect
17. #5822C4semidirect
20. C2×#949C4semidirect
22. #5819C22semidirect
24. C2×#948C22semidirect
25. C2×#942C4semidirect
26. C2×#932C4semidirect
32. #5745C22semidirect
33. C2×#907C22semidirect
36. C2×C3×#104C22semidirect
37. C2×C3×#104C22semidirect
38. C2×C3×#104C22semidirect
39. #5124C22semidirect
40. C2×#822C22semidirect
41. C2×#805C22semidirect
42. C2×#805C22semidirect
43. C2×#805C22semidirect
44. C4×#208C22semidirect
45. C2×#803C22semidirect
46. C2×C4×C3⋊C8C22semidirect
47. #4824C22semidirect
48. #4823C22semidirect
57. C22×#104D3semidirect
95. #951C2×C4semidirect
96. #950C2×C4semidirect
98. #949C2×C4semidirect
101. #948C23semidirect
102. C2×#216C2×C4semidirect
103. #942C2×C4semidirect
104. C2×#215C2×C4semidirect
105. C2×#214C2×C4semidirect
106. #932C2×C4semidirect
107. C2×#213C2×C4semidirect
127. #907C23semidirect
132. C3×#104C23semidirect
133. C3×#104C23semidirect
134. #822C23semidirect
135. #805C23semidirect
136. #805C23semidirect
137. #803C23semidirect
138. C4×C3⋊C8C23semidirect
170. C2×#104C2×D3semidirect
171. C2×#104C2×D3semidirect
172. C2×#104C2×D3semidirect
257. #216C22×C4semidirect
258. #215C22×C4semidirect
259. #214C22×C4semidirect
260. #213C22×C4semidirect
356. #104C22×D3semidirect
357. #104C22×D3semidirect
629. C2×C3#2956semidirect
658. C3C2×#2956semidirect
665. C2#78980direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#58222
C2×#58192
C2×#57452
C22×C3×#1042
C2×#51242
C22×#8052
C2×C4×#2082
#789802
C2×#48232
C2×#48242
C2×#29563