Finite Group Databasebeta

← C2×#10594464 #11900675

Subgroups — C2×#10594464 #11900675

Order 1152.

2677 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64104C211yesmaximal, characteristic
2C2×C3×#890C211yesmaximal, characteristic, complemented
3C2×C3×#887C211yesmaximal, characteristic, complemented
4C2×#63897C212yesmaximal, complemented
5C2×#63894C211yesmaximal, characteristic, complemented
6C2×#63894C212yesmaximal, complemented
7C2×C4×#624C211yesmaximal, characteristic, complemented
8C2×#63871C211yesmaximal, characteristic, complemented
9C2×#63864C211yesmaximal, characteristic, complemented
10C2×#63848C212yesmaximal, complemented
11C2×#63836C212yesmaximal, complemented
12#10594464C2116yesmaximal, direct product factor
13C2×#5691—31nomaximal
14C2×#5580—31nomaximal
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C4⋊(C3⋊D3)C2212yes—
17C22×C4×C3⋊D3C2211yescharacteristic
18C22×C3×Dic6C2211yescharacteristic
19C22×#624C2211yescharacteristic
20C22×#624C2211yescharacteristic
21C22×#624C2212yes—
22C2×C32×C4⋊C4C2211yescharacteristic
23C2×#3752C2212yes—
24#64104C2218yes—
25C2×C3×C4⋊Dic3C2212yes—
26C2×C3×C4⋊Dic3C2211yescharacteristic
27C2×C3×Dic3⋊C4C2212yes—
28C2×C3×Dic3⋊C4C2212yes—
29C2×C3×C4×Dic3C2211yescharacteristic
30C2×C3×C4×Dic3C2212yes—
31C2×C3×C4×Dic3C2211yescharacteristic
32C3×#890C2218yescomplemented
33C3×#887C2218yescomplemented
34C2×Dic3⋊Dic3C2212yes—
35C2×#3722C2212yes—
36C2×#3722C2212yes—
37C2×#3722C2212yes—
38C2×#3722C2212yes—
39C2×Dic32C2211yescharacteristic
40C2×Dic32C2211yescharacteristic
41#63897C22116yescomplemented
42#63894C22116yescomplemented
43#63894C2218yescomplemented
44C4×#624C2218yescomplemented
45#63871C2218yescomplemented
46#63864C2218yescomplemented
47#63848C22116yescomplemented
48#63836C22116yescomplemented
49C2×C3×#125—31no—
50C2×C3×C4×Q8—31no—
51C2×#947—31no—
52C2×#946—31no—
53#5691—316no—
54#5580—316no—
55C2×#898—32no—
56C2×#898—32no—
57C2×#897—31no—
58C2×#895—31no—
59C2×#895—31no—
60C2×#895—61no—
61C2×#894—32no—
62C2×#894—32no—
63C2×#893—31no—
64C2×#893—32no—
65C2×#892—32no—
66C2×#890D311yescharacteristic, complemented
67C2×#887D311yescharacteristic, complemented
68C2×#875—31no—
69C2×C4×D12—32no—
70C2×C4×D12—31no—
71C2×#872—32no—
72C2×C42×D3—31no—
73C2×C42×D3—31no—
74C23×C3⋊D3C2312yes—
75C23×C3⋊D3C2311yescharacteristic
76C22×C32×C4C2312yes—
77C22×C32×C4C2311yescharacteristic
78C22×C3⋊Dic3C2311yescharacteristic
79C2×C4⋊(C3⋊D3)—28no—
80C2×C4⋊(C3⋊D3)—24no—
81C2×C4⋊(C3⋊D3)C2314yes—
82C2×C4⋊(C3⋊D3)C2318yes—
83C2×C4×C3⋊D3—24no—
84C2×C4×C3⋊D3C2314yes—
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2312yes—
88C22×C3×Dic3C2311yescharacteristic
89C22×C3×Dic3C2312yes—
90C22×C3×Dic3C2311yescharacteristic
91C2×C3×Dic6—24no—
92C2×C3×Dic6C2314yes—
93C2×#624—24no—
94C2×#624—24no—
95C2×#624—28no—
96C2×#624C2318yes—
97C2×#624C2314yes—
98C2×#624C2314yes—
99C32×C4⋊C4C2314yes—
100#3752C2318yes—
101C3×C4⋊Dic3C2318yes—
102C3×C4⋊Dic3C2314yes—
103C3×Dic3⋊C4C2318yes—
104C3×Dic3⋊C4C2318yes—
105C3×C4×Dic3C2318yes—
106C3×C4×Dic3C2314yes—
107C3×C4×Dic3C2314yes—
108Dic3⋊Dic3C2318yes—
109#3722C2318yes—
110#3722C2318yes—
111#3722C2318yes—
112#3722C2318yes—
113Dic32C2314yes—
114Dic32C2314yes—
115C2×#529—91noSylow
116C22×C3×Q8—31no—
117C22×D12—32no—
118C22×D12—31no—
119C22×D12—31no—
120C22×D12—32no—
121C22×D12—62no—
122C22×D12—61no—
123C22×C4×D3—31no—
124C22×C4×D3—31no—
125C22×C4×D3—31no—
126C22×C4×D3—31no—
127C22×C4×D3—31no—
128C22×C4×D3—31no—
129C22×C4×D3—32no—
130C22×C4×D3—32no—
131C22×C4×D3—61no—
132C22×Dic6C2×D311yescharacteristic
133C3×#125—38no—
134C3×C4×Q8—38no—
135C2×C3×C4⋊C4—21no—
136C2×C3×C4⋊C4—32no—
137C2×C3×C4⋊C4—32no—
138C2×C3×C4⋊C4—31no—
139C2×C3×C4⋊C4—32no—
140C2×C3×C4⋊C4C2×D311yescharacteristic
141C2×C3×C4⋊C4C2×D311yescharacteristic
142C2×C3×C42—31no—
143C2×C3×C42—31no—
144C2×C3×C42—32no—
145#947—38no—
146#946—38no—
147C2×(C2×D3)⋊C4—32no—
148C2×(C2×D3)⋊C4—32no—
149C2×(C2×D3)⋊C4—32no—
150C2×(C2×D3)⋊C4—32no—
151C2×(C2×D3)⋊C4—32no—
152C2×(C2×D3)⋊C4—32no—
153C2×(C2×D3)⋊C4—32no—
154C2×(C2×D3)⋊C4—32no—
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4—62no—
158C2×C4⋊Dic3—32no—
159C2×C4⋊Dic3C2×D312yes—
160C2×C4⋊Dic3C2×D311yescharacteristic
161C2×Dic3⋊C4—32no—
162C2×Dic3⋊C4C2×D312yes—
163C2×Dic3⋊C4C2×D312yes—
164C2×C4×Dic3—31no—
165C2×C4×Dic3—31no—
166C2×C4×Dic3—31no—
167C2×C4×Dic3—31no—
168C2×C4×Dic3C2×D311yescharacteristic
169C2×C4×Dic3C2×D311yescharacteristic
170C2×C4×Dic3C2×D312yes—
171#898—316no—
172#898—316no—
173#897—38no—
174#895—38no—
175#895—38no—
176#895—68no—
177#894—316no—
178#894—316no—
179#893—38no—
180#893—316no—
181#892—316no—
182#890C2×D318yescomplemented
183#887C2×D318yescomplemented
184#875—38no—
185C4×D12—316no—
186C4×D12—38no—
187#872—316no—
188C42×D3—38no—
189C42×D3—38no—
190C23×C32C2411yescharacteristic
191C22×C3⋊D3—22no—
192C22×C3⋊D3—22no—
193C22×C3⋊D3—24no—
194C22×C3⋊D3—24no—
195C22×C3⋊D3—24no—
196C22×C3⋊D3#4114yes—
197C22×C3⋊D3C2414yes—
198C22×C3⋊D3C2412yes—
199C2×C32×C4—24no—
200C2×C32×C4#4114yes—
201C2×C32×C4C2414yes—
202C2×C32×C4C2412yes—
203C2×C3⋊Dic3—22no—
204C2×C3⋊Dic3C2412yes—
205C4⋊(C3⋊D3)—216no—
206C4⋊(C3⋊D3)—28no—
207C4×C3⋊D3—28no—
208C2×C3×Dic3—22no—
209C2×C3×Dic3—24no—
210C2×C3×Dic3—22no—
211C2×C3×Dic3—22no—
212C2×C3×Dic3—24no—
213C2×C3×Dic3#4114yes—
214C2×C3×Dic3C2412yes—
215C2×C3×Dic3C2412yes—
216C2×C3×Dic3C2412yes—
217C2×C3×Dic3C2414yes—
218C2×C3×Dic3C2414yes—
219C2×C3×Dic3C2412yes—
220C3×Dic6—28no—
221#624—28no—
222#624—28no—
223#624—216no—
224#529—916no—
225C2×#126—92no—
226C2×#125—31no—
227C2×#124—91no—
228C2×#123—92no—
229C2×C22⋊Q8—91no—
230C2×#121—91no—
231C2×C4×Q8—31no—
232C2×C4×D4—92no—
233C2×C4×D4—91no—
234C2×#117—92no—
235C22×C42—91no—
236C23×D3—31no—
237C23×D3—31no—
238C23×D3—32no—
239C23×D3—32no—
240C23×D3—61no—
241C23×D3—62no—
242C2×C3×Q8—34no—
243C2×C3×Q8—64no—
244C22×C3×C4—21no—
245C22×C3×C4—22no—
246C22×C3×C4—31no—
247C22×C3×C4—31no—
248C22×C3×C4—31no—
249C22×C3×C4—31no—
250C22×C3×C4—32no—
251C22×C3×C4—32no—
252C22×C3×C4C22×D312yes—
253C22×C3×C4C22×D312yes—
254C22×C3×C4C22×D311yescharacteristic
255C22×C3×C4C22×D311yescharacteristic
256C22×Dic3—31no—
257C22×Dic3—31no—
258C22×Dic3—61no—
259C22×Dic3C22×D311yescharacteristic
260C22×Dic3C22×D311yescharacteristic
261C22×Dic3C22×D311yescharacteristic
262C22×Dic3C22×D312yes—
263C22×Dic3C22×D312yes—
264C22×Dic3C22×D311yescharacteristic
265C2×D12—38no—
266C2×D12—34no—
267C2×D12—34no—
268C2×D12—38no—
269C2×D12—68no—
270C2×D12—64no—
271C2×D12—68no—
272C2×D12—68no—
273C2×D12—64no—
274C2×D12—64no—
275C2×D12—124no—
276C2×D12—128no—
277C2×C4×D3—34no—
278C2×C4×D3—34no—
279C2×C4×D3—34no—
280C2×C4×D3—34no—
281C2×C4×D3—34no—
282C2×C4×D3—34no—
283C2×C4×D3—38no—
284C2×C4×D3—38no—
285C2×C4×D3—64no—
286C2×C4×D3—64no—
287C2×C4×D3—68no—
288C2×C4×D3—64no—
289C2×C4×D3—64no—
290C2×C4×D3—64no—
291C2×C4×D3—64no—
292C2×C4×D3—64no—
293C2×C4×D3—68no—
294C2×C4×D3—124no—
295C2×Dic6—24no—
296C2×Dic6C22×D314yes—
297C3×C4⋊C4—24no—
298C3×C4⋊C4—38no—
299C3×C4⋊C4—34no—
300C3×C4⋊C4—38no—
301C3×C4⋊C4—38no—
302C3×C4⋊C4C22×D314yes—
303C3×C4⋊C4C22×D314yes—
304C3×C42—34no—
305C3×C42—34no—
306C3×C42—38no—
307(C2×D3)⋊C4—38no—
308(C2×D3)⋊C4—38no—
309(C2×D3)⋊C4—38no—
310(C2×D3)⋊C4—38no—
311(C2×D3)⋊C4—38no—
312(C2×D3)⋊C4—38no—
313(C2×D3)⋊C4—38no—
314(C2×D3)⋊C4—38no—
315(C2×D3)⋊C4—38no—
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4—68no—
318C4⋊Dic3—38no—
319C4⋊Dic3C22×D318yes—
320C4⋊Dic3C22×D314yes—
321Dic3⋊C4—38no—
322Dic3⋊C4C22×D318yes—
323Dic3⋊C4C22×D318yes—
324C4×Dic3—34no—
325C4×Dic3—34no—
326C4×Dic3—34no—
327C4×Dic3—34no—
328C4×Dic3C22×D314yes—
329C4×Dic3C22×D314yes—
330C4×Dic3C22×D318yes—
331C22×C32C2×#4112yes—
332C22×C32C2×#4112yes—
333C22×C32C2×#4112yes—
334C22×C32C2511yescharacteristic
335C2×C3⋊D3—28no—
336C2×C3⋊D3—22no—
337C2×C3⋊D3—22no—
338C2×C3⋊D3—24no—
339C2×C3⋊D3—24no—
340C2×C3⋊D3—24no—
341C2×C3⋊D3—48no—
342C2×C3⋊D3C2×#4114yes—
343C32×C4—24no—
344C32×C4C2×#4114yes—
345C3⋊Dic3—22no—
346C3×Dic3—22no—
347C3×Dic3—24no—
348C3×Dic3—22no—
349C3×Dic3—22no—
350C3×Dic3—24no—
351C3×Dic3C2×#4114yes—
352C22×Q8—31no—
353C22×D4—92no—
354C22×D4—91no—
355C23×C4—92no—
356C23×C4—91no—
357C23×C4—91no—
358C23×C4—91no—
359#126—916no—
360#125—38no—
361#124—98no—
362#123—916no—
363C22⋊Q8—98no—
364#121—98no—
365C4×Q8—38no—
366C4×D4—98no—
367C4×D4—916no—
368#117—916no—
369C2×C4⋊C4—32no—
370C2×C4⋊C4—31no—
371C2×C4⋊C4—32no—
372C2×C4⋊C4—32no—
373C2×C4⋊C4—92no—
374C2×C4⋊C4D3211yescharacteristic
375C2×C22⋊C4—92no—
376C2×C22⋊C4—92no—
377C2×C22⋊C4—92no—
378C2×C22⋊C4—92no—
379C2×C22⋊C4—92no—
380C2×C42—32no—
381C2×C42—31no—
382C2×C42—31no—
383C2×C42—98no—
384C2×C42—91no—
385C2×C42—91no—
386C23×C3—21no—
387C23×C3C23×D311yescharacteristic
388C23×C3C23×D311yescharacteristic
389C22×D3—34no—
390C22×D3—34no—
391C22×D3—32no—
392C22×D3—32no—
393C22×D3—34no—
394C22×D3—34no—
395C22×D3—64no—
396C22×D3—62no—
397C22×D3—64no—
398C22×D3—62no—
399C22×D3—62no—
400C22×D3—62no—
401C22×D3—62no—
402C22×D3—64no—
403C22×D3—64no—
404C22×D3—64no—
405C22×D3—64no—
406C22×D3—64no—
407C22×D3—64no—
408C22×D3—122no—
409C22×D3—122no—
410C22×D3—124no—
411C22×D3—124no—
412C22×D3—124no—
413C3×Q8—68no—
414C2×C3×C4—24no—
415C2×C3×C4—24no—
416C2×C3×C4—22no—
417C2×C3×C4—24no—
418C2×C3×C4—24no—
419C2×C3×C4—34no—
420C2×C3×C4—32no—
421C2×C3×C4—32no—
422C2×C3×C4—32no—
423C2×C3×C4—32no—
424C2×C3×C4—34no—
425C2×C3×C4—34no—
426C2×C3×C4—44no—
427C2×C3×C4—62no—
428C2×C3×C4—64no—
429C2×C3×C4—64no—
430C2×C3×C4—62no—
431C2×C3×C4—62no—
432C2×C3×C4#23514yes—
433C2×C3×C4#23914yes—
434C2×C3×C4C23×D314yes—
435C2×C3×C4C23×D314yes—
436C2×C3×C4C23×D312yes—
437C2×C3×C4C23×D312yes—
438C2×Dic3—24no—
439C2×Dic3—22no—
440C2×Dic3—22no—
441C2×Dic3—22no—
442C2×Dic3—24no—
443C2×Dic3—32no—
444C2×Dic3—32no—
445C2×Dic3—62no—
446C2×Dic3—62no—
447C2×Dic3—62no—
448C2×Dic3—122no—
449C2×Dic3#23914yes—
450C2×Dic3C23×D312yes—
451C2×Dic3C23×D312yes—
452C2×Dic3C23×D312yes—
453C2×Dic3C23×D314yes—
454C2×Dic3C23×D314yes—
455C2×Dic3C23×D312yes—
456D12—616no—
457D12—616no—
458D12—68no—
459D12—68no—
460D12—128no—
461D12—1216no—
462C4×D3—68no—
463C4×D3—616no—
464C4×D3—68no—
465C4×D3—68no—
466C4×D3—68no—
467C4×D3—68no—
468C4×D3—68no—
469C4×D3—616no—
470C4×D3—128no—
471Dic6—28no—
472C2×C32#52914yescomplemented
473C2×C32C22×#4111yescharacteristic
474C2×C32C22×#4111yescharacteristic
475C2×C32C22×#4111yescharacteristic
476C3⋊D3—24no—
477C3⋊D3—44no—
478C24—91no—
479C24—92no—
480C2×Q8—34no—
481C2×Q8—64no—
482C2×D4—98no—
483C2×D4—94no—
484C2×D4—188no—
485C2×D4—184no—
486C22×C4—31no—
487C22×C4—31no—
488C22×C4—31no—
489C22×C4—31no—
490C22×C4—32no—
491C22×C4—32no—
492C22×C4—94no—
493C22×C4—94no—
494C22×C4—98no—
495C22×C4—91no—
496C22×C4—94no—
497C22×C4—184no—
498C22×C4—188no—
499C22×C4—184no—
500C22×C4—184no—
501C22×C4C2×D3212yes—
502C22×C4C2×D3211yescharacteristic
503C4⋊C4—38no—
504C4⋊C4—34no—
505C4⋊C4—38no—
506C4⋊C4—38no—
507C4⋊C4—98no—
508C4⋊C4C2×D3214yes—
509C22⋊C4—98no—
510C22⋊C4—98no—
511C22⋊C4—98no—
512C22⋊C4—98no—
513C22⋊C4—98no—
514C42—34no—
515C42—34no—
516C42—38no—
517C42—94no—
518C42—94no—
519C22×C3—22no—
520C22×C3—22no—
521C22×C3—22no—
522C22×C3—21no—
523C22×C3C2×#23512yes—
524C22×C3C2×#23912yes—
525C22×C3C2×#23912yes—
526C22×C3D3×#4112yes—
527C22×C3D3×#4112yes—
528C22×C3D3×#4112yes—
529C22×C3C24×D311yescharacteristic
530C22×C3C24×D311yescharacteristic
531C2×D3—34no—
532C2×D3—34no—
533C2×D3—64no—
534C2×D3—68no—
535C2×D3—62no—
536C2×D3—62no—
537C2×D3—62no—
538C2×D3—62no—
539C2×D3—68no—
540C2×D3—64no—
541C2×D3—64no—
542C2×D3—64no—
543C2×D3—64no—
544C2×D3—64no—
545C2×D3—64no—
546C2×D3—122no—
547C2×D3—122no—
548C2×D3—128no—
549C2×D3—124no—
550C2×D3—124no—
551C2×D3—124no—
552C2×D3—128no—
553C2×D3—128no—
554C2×D3—248no—
555C3×C4—24no—
556C3×C4—24no—
557C3×C4—24no—
558C3×C4—34no—
559C3×C4—44no—
560C3×C4—62no—
561C3×C4—64no—
562C3×C4—64no—
563C3×C4—62no—
564C3×C4—62no—
565C3×C4C2×#23514yes—
566C3×C4C2×#23914yes—
567Dic3—24no—
568Dic3—22no—
569Dic3—22no—
570Dic3—22no—
571Dic3—24no—
572Dic3—62no—
573Dic3—62no—
574Dic3—122no—
575Dic3C2×#23914yes—
576C32C2×#52911yescharacteristic, complemented, Sylow
577C23—94no—
578C23—92no—
579C23—94no—
580C23—182no—
581C23—182no—
582C23—184no—
583C23—184no—
584C23—184no—
585C23C22×D3211yescharacteristic
586Q8—68no—
587D4—1816no—
588D4—188no—
589C2×C4—24no—
590C2×C4—34no—
591C2×C4—32no—
592C2×C4—32no—
593C2×C4—32no—
594C2×C4—32no—
595C2×C4—34no—
596C2×C4—34no—
597C2×C4—64no—
598C2×C4—62no—
599C2×C4—62no—
600C2×C4—62no—
601C2×C4—64no—
602C2×C4—92no—
603C2×C4—188no—
604C2×C4—1816no—
605C2×C4—188no—
606C2×C4—182no—
607C2×C4—188no—
608C2×C4#379914yes—
609C2×C4C22×D3214yes—
610C2×C4C22×D3212yes—
611C2×C3—21no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—24no—
615C2×C3#558014yescomplemented
616C2×C3#569114yescomplemented
617C2×C3C22×#23511yescharacteristic
618C2×C3C22×#23911yescharacteristic
619C2×C3C22×#23911yescharacteristic
620C2×C3C2×D3×#4111yescharacteristic
621C2×C3C2×D3×#4111yescharacteristic
622C2×C3C2×D3×#4111yescharacteristic
623D3—64no—
624D3—64no—
625D3—124no—
626D3—124no—
627D3—124no—
628D3—244no—
629C22—94no—
630C22—182no—
631C22—182no—
632C22—188no—
633C22—184no—
634C22—184no—
635C22—184no—
636C22—368no—
637C22C2×#379912yes—
638C22#6431212yes—
639C22D3×#23912yes—
640C22C23×D3211yescharacteristic
641C4—24no—
642C4—34no—
643C4—64no—
644C4—62no—
645C4—62no—
646C4—62no—
647C4—64no—
648C4—182no—
649C4C2×#379914yes—
650C3—21no—
651C3C2×#558011yescharacteristic, complemented
652C3C2×#569111yescharacteristic, complemented
653C2—184no—
654C2—364no—
655C2#1059446414yesdirect product factor
656C2C22×#379911yescharacteristic
657C2C2×#6431211yescharacteristic
658C2C2×D3×#23911yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C24
prime radicalC2×#64104C2
hypercenterC2×C4⋊C4D32
hypocenterC32C2×#529
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C3×#890C2semidirect
3. C2×C3×#887C2semidirect
4. C2×#63897C2semidirect
5. C2×#63894C2semidirect
6. C2×#63894C2semidirect
7. C2×C4×#624C2semidirect
8. C2×#63871C2semidirect
9. C2×#63864C2semidirect
10. C2×#63848C2semidirect
11. C2×#63836C2semidirect
12. #10594464C2direct (N × H)
32. C3×#890C22semidirect
33. C3×#887C22semidirect
41. #63897C22semidirect
42. #63894C22semidirect
43. #63894C22semidirect
44. C4×#624C22semidirect
45. #63871C22semidirect
46. #63864C22semidirect
47. #63848C22semidirect
48. #63836C22semidirect
66. C2×#890D3semidirect
67. C2×#887D3semidirect
182. #890C2×D3semidirect
183. #887C2×D3semidirect
472. C2×C32#529semidirect
576. C32C2×#529semidirect
615. C2×C3#5580semidirect
616. C2×C3#5691semidirect
651. C3C2×#5580semidirect
652. C3C2×#5691semidirect
655. C2#10594464direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641042
C2×C3×#8902
C2×C3×#8872
C2×#638972
C2×#638942
C2×C4×#6242
C2×#638712
C2×#638642
C2×#638482
C2×#638362
#105944642
C2×#56913
C2×#55803