Finite Group Databasebeta

← #6489219

Subgroups — #6489219

Order 512.

1752 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36635C211yesmaximal, characteristic, complemented
2#36631C211yesmaximal, characteristic
3#33172C211yesmaximal, characteristic, complemented
4#33170C211yesmaximal, characteristic
5#33043C211yesmaximal, characteristic, complemented
6#33042C211yesmaximal, characteristic
7#30341C214yesmaximal, complemented
8#29207C211yesmaximal, characteristic, complemented
9#29192C211yesmaximal, characteristic, complemented
10#29191C211yesmaximal, characteristic, complemented
11#29144C211yesmaximal, characteristic, complemented
12#28750C211yesmaximal, characteristic, complemented
13#28616C211yesmaximal, characteristic, complemented
14#28613C211yesmaximal, characteristic, complemented
15#28444C211yesmaximal, characteristic, complemented
16#25499C214yesmaximal, complemented
17#24755C214yesmaximal, complemented
18#22150C214yesmaximal, complemented
19C2×C4×C4⋊C8C211yesmaximal, characteristic, complemented
20C2×#529C2212yes—
21C2×#494C2211yescharacteristic
22C2×#492C2211yescharacteristic
23C2×#487C2211yescharacteristic
24C2×#486C2211yescharacteristic
25C2×#467C2214yes—
26C2×#465C2214yes—
27C2×#464C2214yes—
28C22×C4⋊C8C2212yes—
29C22×C4×C8C2211yescharacteristic
30C22×C4×C8C2211yescharacteristic
31#2864—21no—
32#2863—21no—
33#2863C2212yes—
34#2862C2211yescharacteristic
35#2861C2212yes—
36#2860—21no—
37#2860—21no—
38#2859C2211yescharacteristic
39#2859C2211yescharacteristic
40#2858C2211yescharacteristic
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2211yescharacteristic
44#2856C2211yescharacteristic
45#2855—21no—
46#2855C2212yes—
47#2854—21no—
48#2854—21no—
49#2851—21no—
50#2850C2212yes—
51C4×C4⋊Q8C2211yescharacteristic
52C4×C4⋊Q8C2211yescharacteristic
53C4×C4⋊Q8C2211yescharacteristic
54C4×#127C2211yescharacteristic
55C4×#125—21no—
56C4×#124C2212yes—
57C4×C22⋊Q8—21no—
58C4×C22⋊Q8C2212yes—
59C4×#121—21no—
60C4×#121—21no—
61#2295—21no—
62#2295C2212yes—
63#2293—21no—
64#2293—21no—
65#2283—21no—
66C2×C43C2211yescharacteristic
67#2067C2214yes—
68#2066C2214yes—
69#2059C2214yes—
70#2056C2214yes—
71#2055C2214yes—
72#2042C2214yes—
73#2026C2214yes—
74#2015C2214yes—
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1983C2214yes—
78#1969C2214yes—
79#1968C2214yes—
80#1957C2211yescharacteristic
81#1957C2211yescharacteristic
82#1956C2211yescharacteristic
83#1956C2211yescharacteristic
84#1956C2211yescharacteristic
85#1956C2211yescharacteristic
86#1949C2214yes—
87#1934C2214yes—
88#1933C2214yes—
89#1893C2214yes—
90#1892C2214yes—
91#1878C2214yes—
92#1877C2214yes—
93#1865C2214yes—
94#1862C2214yes—
95#1845C2211yescharacteristic
96#1844C2211yescharacteristic
97#1834C2211yescharacteristic
98#1834C2211yescharacteristic
99#1805C2214yes—
100C4×C4⋊C8C2211yescharacteristic
101C4×C4⋊C8C2211yescharacteristic
102C4×C4⋊C8C2211yescharacteristic
103C4×C4⋊C8C2211yescharacteristic
104C4×C4⋊C8C2212yes—
105C4×C4⋊C8C2212yes—
106C2×#336C2212yes—
107C22×Q16C2314yes—
108C22×SD16C2314yes—
109C23×C8C2312yes—
110C23×C8C2312yes—
111C2×C4⋊Q8C2311yescharacteristic
112C2×C4⋊Q8C2311yescharacteristic
113C2×C4⋊Q8C2311yescharacteristic
114C2×#127C2311yescharacteristic
115#529—48no—
116C2×#126—22no—
117C2×#125—21no—
118C2×#125C2312yes—
119C2×#124C2312yes—
120C2×#124C2312yes—
121C2×#123—22no—
122C2×C22⋊Q8—21no—
123C2×C22⋊Q8C2312yes—
124C2×C22⋊Q8C2312yes—
125C2×#121—21no—
126C2×#121—21no—
127C2×#121C2312yes—
128C2×C4×Q8—21no—
129C2×C4×Q8C2312yes—
130C2×C4×Q8C2312yes—
131C2×C4×D4—22no—
132C2×C4×D4—21no—
133C2×C4×D4—21no—
134C2×C4×D4C2312yes—
135C2×#117—22no—
136C22×C42D411yescharacteristic
137C22×C42D411yescharacteristic
138C22×C42D411yescharacteristic
139C22×C42D411yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2311yescharacteristic
143#494—42no—
144#492—42no—
145#487—42no—
146#486—42no—
147#467—48no—
148#465—48no—
149#464—216no—
150C2×#107C2314yes—
151C2×#106C2314yes—
152C2×C4⋊C8—28no—
153C2×C4⋊C8C2312yes—
154C2×C4⋊C8C2312yes—
155C2×C4⋊C8C2312yes—
156C2×C4⋊C8C2312yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×C4×C8—42no—
166C2×C4×C8—42no—
167C2×C4×C8C2311yescharacteristic
168C2×C4×C8C2311yescharacteristic
169C2×C4×C8C2311yescharacteristic
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2312yes—
172C2×C4×C8C2312yes—
173#391—21no—
174#391—21no—
175#391—21no—
176#391—21no—
177#391C2312yes—
178#391C2312yes—
179#391C2312yes—
180#391C2312yes—
181#391C2312yes—
182#391C2312yes—
183#390—21no—
184#390—21no—
185#390—21no—
186#390—21no—
187#390—21no—
188#390—21no—
189#390—21no—
190#390—21no—
191#390C2312yes—
192#390C2312yes—
193#389—21no—
194#389—21no—
195#389—21no—
196#389—21no—
197#389—21no—
198#389—21no—
199#389—21no—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—21no—
206#389—21no—
207#389—21no—
208#389—21no—
209#389C2312yes—
210#389C2312yes—
211#389C2312yes—
212#389C2312yes—
213#388—22no—
214#388—22no—
215#388—22no—
216#388—22no—
217#388—22no—
218#388—22no—
219#388—22no—
220#388—22no—
221#387—22no—
222#387—22no—
223#387—22no—
224#387—22no—
225#387—22no—
226#387—22no—
227#387—22no—
228#387—22no—
229#386—22no—
230#386—22no—
231#385—22no—
232#385—22no—
233#384C2311yescharacteristic
234#384C2311yescharacteristic
235#384C2311yescharacteristic
236#384C2311yescharacteristic
237#383—22no—
238#382—21no—
239#382—21no—
240#382—21no—
241#382C2312yes—
242#381—22no—
243#380—21no—
244#380—21no—
245#380—21no—
246#380—21no—
247#380—21no—
248#380C2312yes—
249C4×C4⋊C4—21no—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—22no—
252C4×C4⋊C4—22no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4—21no—
256C4×C4⋊C4C2312yes—
257C4×C22⋊C4—22no—
258C4×C22⋊C4—22no—
259C4×C22⋊C4—22no—
260#376—22no—
261C43D411yescharacteristic
262C43D411yescharacteristic
263C43D411yescharacteristic
264C43D411yescharacteristic
265C43C2311yescharacteristic
266C43C2311yescharacteristic
267C43C2311yescharacteristic
268C43C2311yescharacteristic
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276#336C2312yes—
277C22×Q8—21no—
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×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2411yescharacteristic
292C2×Q16—28no—
293C2×Q16—44no—
294C2×Q16—44no—
295C2×SD16—28no—
296C2×SD16—44no—
297C2×SD16—44no—
298C22×C8—24no—
299C22×C8—24no—
300C22×C8—24no—
301C22×C8—24no—
302C22×C8—42no—
303C22×C8—42no—
304C22×C8C2412yes—
305C22×C8C2412yes—
306C22×C8C2412yes—
307C22×C8C2412yes—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—22no—
312C4⋊Q8—22no—
313C4⋊Q8—22no—
314#127—22no—
315#127—22no—
316#126—48no—
317#125—44no—
318#125—44no—
319#124—28no—
320#124—44no—
321#123—48no—
322C22⋊Q8—28no—
323C22⋊Q8—28no—
324C22⋊Q8—44no—
325#121—28no—
326#121—44no—
327#121—44no—
328C4×Q8—28no—
329C4×Q8—44no—
330C4×Q8—44no—
331C4×D4—44no—
332C4×D4—44no—
333C4×D4—48no—
334C4×D4—44no—
335#117—48no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2412yes—
361C2×C4⋊C4C2412yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2412yes—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C42—24no—
378C2×C42—24no—
379C2×C42—24no—
380C2×C42—24no—
381C2×C42—24no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—42no—
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
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×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416#107—44no—
417#106—44no—
418C4⋊C8—24no—
419C4⋊C8—24no—
420C4⋊C8—24no—
421C4⋊C8#4118yes—
422#103—28no—
423#103—44no—
424#103—44no—
425#103—44no—
426#103—44no—
427#102—28no—
428#102—44no—
429#102—44no—
430C4×C8—22no—
431C4×C8—22no—
432C4×C8—22no—
433C4×C8—22no—
434C4×C8—42no—
435C4×C8—42no—
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#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456C24—22no—
457C24C22×D411yescharacteristic
458C2×Q8—24no—
459C2×Q8—24no—
460C2×Q8—24no—
461C2×Q8—22no—
462C2×Q8—24no—
463C2×Q8—22no—
464C2×Q8—22no—
465C2×Q8—22no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×D4—24no—
470C2×D4—22no—
471C2×D4—24no—
472C2×D4—22no—
473C2×D4—44no—
474C2×D4—44no—
475C2×D4—44no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4—42no—
480C2×D4—42no—
481C2×D4—42no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4#13514yes—
512C22×C4#13714yes—
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4H(5,𝔽2)14yes—
527C22×C4C2511yescharacteristic
528Q16—88no—
529SD16—88no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—48no—
541C2×C8—48no—
542C2×C8C2×#4114yes—
543C2×C8C2×#4114yes—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—21no—
607C42—22no—
608C42—22no—
609C42—21no—
610C42—41no—
611C42—41no—
612C42—44no—
613C42—44no—
614C42—44no—
615C42#13514yes—
616C42C2×#4114yes—
617C42H(5,𝔽2)12yes—
618C422−1+412yes—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23#53512yes—
631C23C2×#13512yes—
632C23C2×#13712yes—
633C23C23×D411yescharacteristic
634Q8—44no—
635Q8—44no—
636Q8—44no—
637Q8—44no—
638Q8—84no—
639D4—44no—
640D4—44no—
641D4—88no—
642D4—84no—
643D4—84no—
644C2×C4—28no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
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—28no—
660C2×C4—28no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—88no—
700C2×C4#53212yes—
701C2×C4#53212yes—
702C2×C4#53512yes—
703C2×C4#53712yes—
704C2×C4#53712yes—
705C2×C4C2×#13512yes—
706C2×C4C2×#13512yes—
707C2×C4C2×#13512yes—
708C2×C4C2×#13512yes—
709C2×C4C2×#13512yes—
710C2×C4C2×#13712yes—
711C2×C4C2×#13712yes—
712C2×C4#57512yes—
713C2×C4C22×#4112yes—
714C2×C4C2×H(5,𝔽2)11yescharacteristic
715C2×C4C2×H(5,𝔽2)12yes—
716C2×C4C2×2−1+411yescharacteristic
717C8—24no—
718C8—24no—
719C8—42no—
720C8—42no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22#321014yes—
735C22C2×#53211yescharacteristic
736C22C2×#53511yescharacteristic
737C22C2×#53711yescharacteristic
738C22C22×#13511yescharacteristic
739C22C22×#13511yescharacteristic
740C22C22×#13711yescharacteristic
741C22C2×#57511yescharacteristic
742C4—22no—
743C4—22no—
744C4—22no—
745C4—22no—
746C4—22no—
747C4—22no—
748C4—22no—
749C4—41no—
750C4—41no—
751C4—41no—
752C4—41no—
753C4—82no—
754C4—82no—
755C4—82no—
756C4—82no—
757C4—82no—
758C4—82no—
759C4—82no—
760C4#324814yes—
761C4#325014yes—
762C4#351912yes—
763C4#352212yes—
764C2—24no—
765C2—162no—
766C2#3523811yescharacteristic
767C2#6067311yescharacteristic
768C2#6070111yescharacteristic
769C2C2×#321011yescharacteristic
770C2#6078211yescharacteristic
771C2C2×#324811yescharacteristic
772C2C2×#325011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#2856C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36635C2semidirect
3. #33172C2semidirect
5. #33043C2semidirect
7. #30341C2semidirect
8. #29207C2semidirect
9. #29192C2semidirect
10. #29191C2semidirect
11. #29144C2semidirect
12. #28750C2semidirect
13. #28616C2semidirect
14. #28613C2semidirect
15. #28444C2semidirect
16. #25499C2semidirect
17. #24755C2semidirect
18. #22150C2semidirect
19. C2×C4×C4⋊C8C2semidirect

Maximal subgroups

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

subgroupindex
#366352
#366312
#331722
#331702
#330432
#330422
#303412
#292072
#291922
#291912
#291442
#287502
#286162
#286132
#284442
#254992
#247552
#221502
C2×C4×C4⋊C82