Finite Group Databasebeta

← #6494493

Subgroups — #6494493

Order 512.

1658 conjugacy classes of subgroups.

The subgroup lattice has 759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35284C211yesmaximal, characteristic, complemented
2#35277C211yesmaximal, characteristic
3#33277C211yesmaximal, characteristic, complemented
4#33225C211yesmaximal, characteristic, complemented
5#33170C211yesmaximal, characteristic
6#33043C211yesmaximal, characteristic, complemented
7#30305C211yesmaximal, characteristic, complemented
8#30263C211yesmaximal, characteristic, complemented
9#29845C211yesmaximal, characteristic, complemented
10#29807C211yesmaximal, characteristic
11#28909C214yesmaximal, complemented
12#28879C214yesmaximal, complemented
13#26958C214yesmaximal, complemented
14#26820C214yesmaximal, complemented
15#22268C211yesmaximal, characteristic, complemented
16#22218C211yesmaximal, characteristic, complemented
17C4×#492C211yesmaximal, characteristic, complemented
18C4×#487C211yesmaximal, characteristic, complemented
19C8×#117C211yesmaximal, characteristic, complemented
20C2×#542—21no—
21C2×#492C2211yescharacteristic
22C2×#492C2211yescharacteristic
23C2×#487C2211yescharacteristic
24C2×#487C2211yescharacteristic
25C2×#487C2214yes—
26C2×#465C2214yes—
27C2×C4×SD16C2214yes—
28C2×#431C2211yescharacteristic
29C22×C4×C8C2211yescharacteristic
30#2868C2211yescharacteristic
31#2868C2211yescharacteristic
32#2859C2211yescharacteristic
33#2858C2211yescharacteristic
34#2857C2211yescharacteristic
35#2857C2211yescharacteristic
36#2857C2211yescharacteristic
37#2856C2211yescharacteristic
38#2647—21no—
39#2640—21no—
40#2629—21no—
41#2620—21no—
42#2512—21no—
43#2512C2212yes—
44#2507—21no—
45#2507—21no—
46#2497—21no—
47#2497—21no—
48#2491—21no—
49#2491C2212yes—
50#2452—21no—
51#2452C2212yes—
52#2446C2212yes—
53#2446C2212yes—
54#2429C2212yes—
55#2429C2212yes—
56#2422—21no—
57#2422C2212yes—
58#2330—21no—
59#2326—21no—
60#2314—21no—
61C4×C4⋊Q8C2211yescharacteristic
62C4×C4⋊Q8C2211yescharacteristic
63C4×C4⋊Q8C2211yescharacteristic
64C4×#127C2211yescharacteristic
65C4×#117C2211yescharacteristic
66#2084C2214yes—
67#2066C2214yes—
68#2058C2214yes—
69#2055C2214yes—
70#2035C2214yes—
71#2013C2214yes—
72#2013C2214yes—
73#2000C2214yes—
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1968C2214yes—
77#1968C2214yes—
78#1957C2211yescharacteristic
79#1957C2211yescharacteristic
80#1956C2211yescharacteristic
81#1956C2214yes—
82#1956C2211yescharacteristic
83#1956C2211yescharacteristic
84#1956C2211yescharacteristic
85#1934C2214yes—
86#1934C2214yes—
87#1933C2214yes—
88#1933C2214yes—
89#1927C2214yes—
90#1892C2214yes—
91#1880C2214yes—
92#1877C2214yes—
93#1865C2214yes—
94#1844C2211yescharacteristic
95#1844C2211yescharacteristic
96#1834C2211yescharacteristic
97#1834C2211yescharacteristic
98C8×C4⋊C4C2212yes—
99C8×C4⋊C4C2212yes—
100C4×#103C2214yes—
101C8×C22⋊C4C2212yes—
102C8×C22⋊C4C2212yes—
103#1744C2211yescharacteristic
104#1744C2211yescharacteristic
105C42×C8C2211yescharacteristic
106C42×C8C2211yescharacteristic
107C22×SD16C2314yes—
108C22×SD16C2314yes—
109C23×C8C2312yes—
110#542—48no—
111C2×C4⋊Q8—21no—
112C2×C4⋊Q8—21no—
113C2×C4⋊Q8C2311yescharacteristic
114C2×C4⋊Q8C2311yescharacteristic
115C2×C4⋊Q8C2312yes—
116C2×C4⋊Q8C2312yes—
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2312yes—
119C2×#127C2311yescharacteristic
120C2×#126—22no—
121C2×#125—21no—
122C2×#124—22no—
123C2×#124—21no—
124C2×#124—21no—
125C2×#123—22no—
126C2×C22⋊Q8—21no—
127C2×C22⋊Q8—22no—
128C2×C22⋊Q8C2312yes—
129C2×C22⋊Q8C2312yes—
130C2×#121—21no—
131C2×#121—21no—
132C2×#121C2312yes—
133C2×C4×Q8—21no—
134C2×C4×Q8C2312yes—
135C2×C4×Q8C2312yes—
136C2×C4×D4—21no—
137C2×C4×D4—21no—
138C2×C4×D4C2312yes—
139C2×#117D411yescharacteristic
140C2×#117D411yescharacteristic
141C22×C42C2311yescharacteristic
142#492—24no—
143#492—24no—
144#487—24no—
145#487—24no—
146#487—48no—
147#465—48no—
148C4×SD16—48no—
149#431—24no—
150C2×#106C2314yes—
151C2×#106C2314yes—
152C2×C4⋊C8C2312yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×C22⋊C8C2312yes—
162C2×C4×C8—24no—
163C2×C4×C8C2312yes—
164C2×C4×C8C2311yescharacteristic
165C2×C4×C8C2312yes—
166C2×C4×C8C2311yescharacteristic
167C2×C4×C8C2312yes—
168C2×C4×C8C2312yes—
169C2×C4×C8C2312yes—
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2311yescharacteristic
172#400—22no—
173#400—22no—
174#398—22no—
175#398—22no—
176#398—22no—
177#398—22no—
178#397—22no—
179#397—22no—
180#396—22no—
181#396—22no—
182#396—22no—
183#396—22no—
184#394—22no—
185#394—22no—
186#393—22no—
187#393—22no—
188#391—21no—
189#391—21no—
190#391C2312yes—
191#391C2312yes—
192#391C2312yes—
193#391C2312yes—
194#390—21no—
195#390—21no—
196#390—21no—
197#390—21no—
198#390—21no—
199#390—21no—
200#390C2312yes—
201#390C2312yes—
202#390C2312yes—
203#390C2312yes—
204#389—21no—
205#389—21no—
206#389—21no—
207#389—21no—
208#389—21no—
209#389—21no—
210#389—21no—
211#389—21no—
212#389—21no—
213#389—21no—
214#389—21no—
215#389—21no—
216#389—22no—
217#389—22no—
218#389C2312yes—
219#389C2312yes—
220#389C2312yes—
221#389C2312yes—
222#388—22no—
223#388—22no—
224#388—22no—
225#388—22no—
226#387—22no—
227#387—22no—
228#387—22no—
229#387—22no—
230#385—22no—
231#385—22no—
232#384—21no—
233#384—21no—
234#384—21no—
235#384—21no—
236#384—21no—
237#384—21no—
238#384C2311yescharacteristic
239#384C2311yescharacteristic
240#384C2311yescharacteristic
241#384C2311yescharacteristic
242#384C2312yes—
243#382—21no—
244#380—21no—
245#380—21no—
246#380—21no—
247#380—21no—
248#380—21no—
249#380C2312yes—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4D411yescharacteristic
256C4×C4⋊C4D411yescharacteristic
257C4×C4⋊C4C2312yes—
258C4×C4⋊C4C2311yescharacteristic
259C4×C4⋊C4C2311yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4C2311yescharacteristic
263C4×C22⋊C4C2311yescharacteristic
264#376D411yescharacteristic
265#376D411yescharacteristic
266C43C2311yescharacteristic
267C43C2311yescharacteristic
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C22×Q8—21no—
277C22×Q8—22no—
278C22×Q8C2412yes—
279C22×Q8C2412yes—
280C22×D4—22no—
281C22×D4—21no—
282C22×D4—21no—
283C22×D4C2412yes—
284C23×C4—22no—
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2411yescharacteristic
288C2×SD16—28no—
289C2×SD16—28no—
290C2×SD16—44no—
291C2×SD16—44no—
292C2×SD16—44no—
293C2×SD16—44no—
294C22×C8—24no—
295C22×C8—24no—
296C22×C8—42no—
297C22×C8C2412yes—
298C22×C8C2412yes—
299C22×C8C2412yes—
300C22×C8C2412yes—
301C4⋊Q8—22no—
302C4⋊Q8—22no—
303C4⋊Q8—22no—
304C4⋊Q8—22no—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8—44no—
308C4⋊Q8—44no—
309C4⋊Q8—44no—
310C4⋊Q8—44no—
311C4⋊Q8—82no—
312#127—22no—
313#127—22no—
314#126—48no—
315#125—44no—
316#124—48no—
317#124—44no—
318#124—44no—
319#123—48no—
320C22⋊Q8—44no—
321C22⋊Q8—48no—
322C22⋊Q8—44no—
323C22⋊Q8—44no—
324#121—44no—
325#121—44no—
326#121—82no—
327C4×Q8—44no—
328C4×Q8—44no—
329C4×Q8—44no—
330C4×D4—44no—
331C4×D4—44no—
332C4×D4—82no—
333#117—24no—
334#117SD1618yescomplemented
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4C2×D411yescharacteristic
364C2×C4⋊C4C2×D411yescharacteristic
365C2×C4⋊C4C2×D411yescharacteristic
366C2×C4⋊C4C2×D411yescharacteristic
367C2×C4⋊C4C2412yes—
368C2×C4⋊C4C2412yes—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2412yes—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4C2×D411yescharacteristic
386C2×C22⋊C4C2×D411yescharacteristic
387C2×C22⋊C4C2×D411yescharacteristic
388C2×C22⋊C4C2×D411yescharacteristic
389C2×C42—22no—
390C2×C42—22no—
391C2×C42—22no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2411yescharacteristic
405C2×C42C2411yescharacteristic
406C2×C42C2411yescharacteristic
407C2×C42C2411yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410#106—44no—
411#106—44no—
412C4⋊C8—24no—
413#103—28no—
414#103—28no—
415#103—28no—
416#103—28no—
417#103—44no—
418#103—44no—
419#102—28no—
420#102—44no—
421C22⋊C8—24no—
422C4×C8—24no—
423C4×C8—24no—
424C4×C8—24no—
425C4×C8—22no—
426C4×C8—22no—
427C4×C8—42no—
428C4×C8—42no—
429C4×C8#4114yes—
430C4×C8#4114yes—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95C2×D411yescharacteristic
446#95C2×D411yescharacteristic
447#95C2×D411yescharacteristic
448#95C2×D411yescharacteristic
449#95C2×D411yescharacteristic
450#95C2×D411yescharacteristic
451#95C2×D411yescharacteristic
452#95C2×D411yescharacteristic
453C24—22no—
454C24C22×D411yescharacteristic
455C2×Q8—22no—
456C2×Q8—22no—
457C2×Q8—22no—
458C2×Q8—22no—
459C2×Q8—24no—
460C2×Q8—24no—
461C2×Q8—24no—
462C2×Q8—24no—
463C2×Q8—42no—
464C2×Q8—42no—
465C2×Q8—44no—
466C2×Q8—42no—
467C2×Q8—82no—
468C2×Q8—82no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—24no—
472C2×D4—24no—
473C2×D4—44no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4—42no—
480C2×D4—82no—
481C2×D4—82no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—44no—
499C22×C4—82no—
500C22×C4—82no—
501C22×C4C2×SD1614yes—
502C22×C4C22×D411yescharacteristic
503C22×C4C22×D411yescharacteristic
504C22×C4C22×D411yescharacteristic
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D411yescharacteristic
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C2511yescharacteristic
516SD16—416no—
517SD16—88no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—48no—
528C2×C8C2×#4114yes—
529C2×C8C2×#4114yes—
530C2×C8H(5,𝔽2)14yes—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—82no—
558C4⋊C4—82no—
559C4⋊C4—82no—
560C4⋊C4—82no—
561C4⋊C4—82no—
562C4⋊C4—82no—
563C4⋊C4—82no—
564C4⋊C4—82no—
565C4⋊C4—82no—
566C4⋊C4—82no—
567C4⋊C4C2×SD1614yes—
568C4⋊C4C2×SD1614yes—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—82no—
579C22⋊C4—82no—
580C22⋊C4—82no—
581C22⋊C4—82no—
582C22⋊C4—82no—
583C22⋊C4—82no—
584C22⋊C4C2×SD1614yes—
585C22⋊C4C2×SD1614yes—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—21no—
594C42—21no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—44no—
600C42—82no—
601C42—82no—
602C42C2×SD1614yes—
603C42C2×SD1614yes—
604C42#13514yes—
605C42C2×#4112yes—
606C42C2×#4112yes—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23C22×SD1612yes—
621C23C23×D411yescharacteristic
622Q8—44no—
623Q8—44no—
624Q8—44no—
625Q8—44no—
626Q8—84no—
627Q8—164no—
628D4—44no—
629D4—44no—
630D4—84no—
631D4—84no—
632D4—164no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—28no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—44no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—164no—
685C2×C4#53212yes—
686C2×C4#53212yes—
687C2×C4C22×SD1612yes—
688C2×C4C22×SD1612yes—
689C2×C4C22×SD1612yes—
690C2×C4C22×SD1612yes—
691C2×C4C22×SD1612yes—
692C2×C4C22×SD1612yes—
693C2×C4C2×#13512yes—
694C2×C4C2×#13512yes—
695C2×C4C2×#13512yes—
696C2×C4#57712yes—
697C2×C4#57812yes—
698C2×C4C22×#4111yescharacteristic
699C2×C4C22×#4111yescharacteristic
700C2×C4C2×H(5,𝔽2)12yes—
701C2×C4#58512yes—
702C8—24no—
703C8—24no—
704C8—24no—
705C8—42no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—82no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22C2×#53211yescharacteristic
721C22#349811yescharacteristic
722C22#350011yescharacteristic
723C22C23×SD1611yescharacteristic
724C22C22×#13511yescharacteristic
725C22C2×#57711yescharacteristic
726C22C2×#57811yescharacteristic
727C4—22no—
728C4—22no—
729C4—22no—
730C4—22no—
731C4—22no—
732C4—22no—
733C4—22no—
734C4—41no—
735C4—41no—
736C4—41no—
737C4—41no—
738C4—82no—
739C4—82no—
740C4—82no—
741C4—82no—
742C4—82no—
743C4—82no—
744C4—82no—
745C4#316714yes—
746C4#317814yes—
747C4#346012yes—
748C4#349412yes—
749C2—42no—
750C2—162no—
751C2#3527611yescharacteristic
752C2C2×#316711yescharacteristic
753C2C2×#317811yescharacteristic
754C2#6241311yescharacteristic
755C2#6241811yescharacteristic
756C2#6252611yescharacteristic
757C2#6253211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#2856C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35284C2semidirect
3. #33277C2semidirect
4. #33225C2semidirect
6. #33043C2semidirect
7. #30305C2semidirect
8. #30263C2semidirect
9. #29845C2semidirect
11. #28909C2semidirect
12. #28879C2semidirect
13. #26958C2semidirect
14. #26820C2semidirect
15. #22268C2semidirect
16. #22218C2semidirect
17. C4×#492C2semidirect
18. C4×#487C2semidirect
19. C8×#117C2semidirect
334. #117SD16semidirect

Maximal subgroups

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

subgroupindex
#352842
#352772
#332772
#332252
#331702
#330432
#303052
#302632
#298452
#298072
#289092
#288792
#269582
#268202
#222682
#222182
C4×#4922
C4×#4872
C8×#1172