Finite Group Databasebeta

← C2×#31654 #7505331

Subgroups — C2×#31654 #7505331

Order 512.

2388 conjugacy classes of subgroups.

The subgroup lattice has 737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2542C211yesmaximal, characteristic, complemented
2C2×#2447C211yesmaximal, characteristic, complemented
3#31654C2116yesmaximal, direct product factor
4C2×#2100C211yesmaximal, characteristic, complemented
5C2×#2072C211yesmaximal, characteristic, complemented
6C2×#2055C211yesmaximal, characteristic, complemented
7C2×#2024C211yesmaximal, characteristic, complemented
8C2×#2023C211yesmaximal, characteristic, complemented
9C2×#2012C211yesmaximal, characteristic
10C2×#1959C211yesmaximal, characteristic, complemented
11C2×#1936C211yesmaximal, characteristic, complemented
12C2×#1917C211yesmaximal, characteristic, complemented
13C2×#1879C211yesmaximal, characteristic
14C2×#1879C211yesmaximal, characteristic
15C2×#1877C211yesmaximal, characteristic, complemented
16C2×#1802C211yesmaximal, characteristic, complemented
17C23×SD16C2211yescharacteristic
18C23×D8C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×#124C2211yescharacteristic
21C22×C22⋊Q8—21no—
22C22×C22⋊Q8—21no—
23C22×C4×D4C2211yescharacteristic
24C22×C4×D4C2211yescharacteristic
25C22×C4⋊C8C2211yescharacteristic
26C22×#103C2211yescharacteristic
27C22×#103C2211yescharacteristic
28C22×#103C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×#102C2211yescharacteristic
34C22×#97C2211yescharacteristic
35#2542—24no—
36#2542C2218yescomplemented
37#2447—24no—
38#2447C2218yescomplemented
39C2×#399—21no—
40C2×#399—21no—
41C2×#397—21no—
42C2×#397—21no—
43C2×#391C2211yescharacteristic
44C2×#391C2211yescharacteristic
45C2×#390C2211yescharacteristic
46C2×#390C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#389C2211yescharacteristic
49C2×#385—21no—
50C2×#384C2211yescharacteristic
51C2×#384C2211yescharacteristic
52C2×#381—21no—
53C2×C4×C4⋊C4C2211yescharacteristic
54#2100C2218yescomplemented
55#2072C2218yescomplemented
56#2055C2218yescomplemented
57#2024C2218yescomplemented
58#2023C2218yescomplemented
59#2012C2218yes—
60#1959C2218yescomplemented
61#1936C2218yescomplemented
62#1917C2218yescomplemented
63#1879C2218yes—
64#1879C2218yes—
65#1877C2218yescomplemented
66#1802C2218yescomplemented
67C2×#340C2211yescharacteristic
68C2×#340C2211yescharacteristic
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#336C2211yescharacteristic
74C2×#336C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×Q8—21no—
78C23×Q8C2311yescharacteristic
79C23×D4C2311yescharacteristic
80C23×D4C2311yescharacteristic
81C24×C4—21no—
82C24×C4—21no—
83C22×SD16—24no—
84C22×SD16—42no—
85C22×SD16—42no—
86C22×SD16C2314yes—
87C22×D8—24no—
88C22×D8—24no—
89C22×D8—42no—
90C22×D8C2314yes—
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C2×C4⋊Q8—22no—
96C2×C4⋊Q8—42no—
97C2×C4⋊Q8—42no—
98C2×C4⋊Q8C2314yes—
99C2×#124—24no—
100C2×#124—22no—
101C2×#124—42no—
102C2×#124C2314yes—
103C2×C22⋊Q8—28no—
104C2×C22⋊Q8—28no—
105C2×C22⋊Q8—48no—
106C2×C22⋊Q8—48no—
107C2×C4×D4—24no—
108C2×C4×D4—22no—
109C2×C4×D4—22no—
110C2×C4×D4—42no—
111C2×C4×D4—42no—
112C2×C4×D4—42no—
113C2×C4×D4C2314yes—
114C2×C4×D4C2314yes—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4D411yescharacteristic
122C22×C4⋊C4D411yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C2×C4⋊C8—42no—
142C2×C4⋊C8C2314yes—
143C2×#103—42no—
144C2×#103—42no—
145C2×#103—42no—
146C2×#103C2314yes—
147C2×#103C2314yes—
148C2×#103C2314yes—
149C2×#102—24no—
150C2×#102—42no—
151C2×#102—42no—
152C2×#102—42no—
153C2×#102—42no—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#97—42no—
160C2×#97C2314yes—
161#399—28no—
162#399—28no—
163#397—28no—
164#397—28no—
165#391—22no—
166#391—22no—
167#391C2314yes—
168#391C2314yes—
169#390—22no—
170#390—22no—
171#390—22no—
172#390C2314yes—
173#390C2314yes—
174#390C2314yes—
175#389—22no—
176#389C2314yes—
177#385—28no—
178#384—22no—
179#384—22no—
180#384C2314yes—
181#384C2314yes—
182#381—28no—
183C4×C4⋊C4D414yes—
184C4×C4⋊C4C2314yes—
185C2×#95—21no—
186C2×#95—21no—
187C2×#95—21no—
188C2×#95—21no—
189C2×#95—21no—
190C2×#95D411yescharacteristic
191C2×#95D411yescharacteristic
192#340C2314yes—
193#340C2314yes—
194#340C2314yes—
195#340C2314yes—
196#340C2314yes—
197#340C2314yes—
198#336C2314yes—
199#336C2314yes—
200#336C2314yes—
201#336C2314yes—
202C25—21no—
203C25—21no—
204C22×Q8—24no—
205C22×Q8—21no—
206C22×Q8—22no—
207C22×Q8—22no—
208C22×Q8—22no—
209C22×Q8—22no—
210C22×Q8—22no—
211C22×Q8—22no—
212C22×Q8—44no—
213C22×Q8—44no—
214C22×Q8—44no—
215C22×Q8C2412yes—
216C22×D4—21no—
217C22×D4—21no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4#4114yes—
229C22×D4#4114yes—
230C22×D4C2412yes—
231C22×D4C2412yes—
232C23×C4—21no—
233C23×C4—21no—
234C23×C4—21no—
235C23×C4—21no—
236C23×C4—21no—
237C23×C4—21no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—44no—
241C23×C4—44no—
242C23×C4—44no—
243C23×C4—44no—
244C23×C4—44no—
245C23×C4—82no—
246C23×C4C2×D411yescharacteristic
247C23×C4C2×D411yescharacteristic
248C23×C4C2×D411yescharacteristic
249C23×C4C2×D411yescharacteristic
250C23×C4C2×D411yescharacteristic
251C23×C4C2×D411yescharacteristic
252C23×C4C2411yescharacteristic
253C2×SD16—28no—
254C2×SD16—44no—
255C2×SD16—44no—
256C2×SD16—416no—
257C2×D8—28no—
258C2×D8—28no—
259C2×D8—44no—
260C2×D8—416no—
261C22×C8—22no—
262C22×C8—22no—
263C22×C8—22no—
264C22×C8—22no—
265C22×C8—22no—
266C22×C8—22no—
267C22×C8—22no—
268C22×C8—22no—
269C22×C8—22no—
270C22×C8—22no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8C2412yes—
274C22×C8C2412yes—
275C22×C8C2412yes—
276C22×C8C2412yes—
277C4⋊Q8—44no—
278C4⋊Q8—44no—
279C4⋊Q8—48no—
280#124—28no—
281#124—44no—
282#124—48no—
283C22⋊Q8—432no—
284C22⋊Q8—432no—
285C4×D4—28no—
286C4×D4—44no—
287C4×D4—44no—
288C4×D4—44no—
289C4×D4—48no—
290C4×D4—48no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—22no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—22no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—24no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—44no—
315C2×C4⋊C4—44no—
316C2×C4⋊C4—44no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4—44no—
319C2×C4⋊C4—82no—
320C2×C4⋊C4C2×D414yes—
321C2×C4⋊C4C2×D414yes—
322C2×C4⋊C4C2412yes—
323C2×C4⋊C4C2412yes—
324C2×C4⋊C4C2412yes—
325C2×C4⋊C4C2412yes—
326C2×C4⋊C4C2412yes—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—82no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—22no—
350C2×C42—22no—
351C2×C42—22no—
352C2×C42—22no—
353C2×C42C2×D412yes—
354C2×C42C2×D412yes—
355C2×C42C2×D412yes—
356C2×C42C2412yes—
357C2×C42C2412yes—
358C2×C42C2412yes—
359C4⋊C8—44no—
360#103—44no—
361#103—44no—
362#103—44no—
363#102—28no—
364#102—44no—
365#102—44no—
366#102—44no—
367#102—44no—
368#97—44no—
369#95—24no—
370#95—24no—
371#95—24no—
372#95—24no—
373#95—24no—
374#95C2×D414yes—
375#95C2×D414yes—
376C24—24no—
377C24—24no—
378C24—22no—
379C24—22no—
380C24—42no—
381C24—42no—
382C24—42no—
383C24—42no—
384C24—42no—
385C24—42no—
386C24—42no—
387C24—42no—
388C24—42no—
389C24—42no—
390C24—42no—
391C24—42no—
392C24C22×D411yescharacteristic
393C2×Q8—22no—
394C2×Q8—22no—
395C2×Q8—22no—
396C2×Q8—22no—
397C2×Q8—22no—
398C2×Q8—22no—
399C2×Q8—48no—
400C2×Q8—48no—
401C2×Q8—42no—
402C2×Q8—42no—
403C2×Q8—42no—
404C2×Q8—48no—
405C2×Q8—44no—
406C2×Q8—44no—
407C2×Q8—44no—
408C2×Q8—44no—
409C2×Q8—816no—
410C2×D4—28no—
411C2×D4—28no—
412C2×D4—24no—
413C2×D4—24no—
414C2×D4—28no—
415C2×D4—28no—
416C2×D4—22no—
417C2×D4—22no—
418C2×D4—22no—
419C2×D4—22no—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—22no—
426C2×D4—42no—
427C2×D4—42no—
428C2×D4—44no—
429C2×D4—44no—
430C2×D4—42no—
431C2×D4—42no—
432C2×D4—44no—
433C2×D4—44no—
434C2×D4C2×#4114yes—
435C2×D4C2×#4114yes—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—48no—
459C22×C4—48no—
460C22×C4—48no—
461C22×C4—42no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—42no—
469C22×C4—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—48no—
480C22×C4—48no—
481C22×C4—84no—
482C22×C4—816no—
483C22×C4—816no—
484C22×C4AGL(1,ℤ/8)14yes—
485C22×C4AGL(1,ℤ/8)14yes—
486C22×C4C22×D412yes—
487C22×C4C22×D412yes—
488C22×C4C22×D412yes—
489C22×C4C22×D412yes—
490C22×C4C22×D412yes—
491C22×C4C22×D412yes—
492C22×C4C22×D411yescharacteristic
493C22×C4C2×#4112yes—
494C22×C4C2×#4112yes—
495C22×C4H(5,𝔽2)12yes—
496C22×C4H(5,𝔽2)12yes—
497C22×C4H(5,𝔽2)12yes—
498C22×C42−1+412yes—
499C22×C4C2511yescharacteristic
500SD16—416no—
501D8—416no—
502C2×C8—22no—
503C2×C8—22no—
504C2×C8—22no—
505C2×C8—22no—
506C2×C8—22no—
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—44no—
515C2×C8—44no—
516C2×C8—44no—
517C2×C8—44no—
518C4⋊C4—28no—
519C4⋊C4—28no—
520C4⋊C4—22no—
521C4⋊C4—22no—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—48no—
531C4⋊C4—48no—
532C4⋊C4—48no—
533C4⋊C4—48no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—48no—
540C4⋊C4—84no—
541C22⋊C4—48no—
542C22⋊C4—48no—
543C22⋊C4—48no—
544C22⋊C4—48no—
545C22⋊C4—48no—
546C22⋊C4—48no—
547C22⋊C4—48no—
548C22⋊C4—48no—
549C22⋊C4—48no—
550C22⋊C4—84no—
551C42—24no—
552C42—24no—
553C42—24no—
554C42—22no—
555C42—22no—
556C42—22no—
557C42—22no—
558C42—22no—
559C42—22no—
560C23—24no—
561C23—24no—
562C23—48no—
563C23—48no—
564C23—48no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—48no—
569C23—48no—
570C23—42no—
571C23—48no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—84no—
581C23—84no—
582C23—84no—
583C23—84no—
584C23—84no—
585C23—84no—
586C23—84no—
587C23—84no—
588C23#53512yes—
589C23#54612yes—
590C23#54812yes—
591C23C2×AGL(1,ℤ/8)12yes—
592C23C2×AGL(1,ℤ/8)12yes—
593C23#57712yes—
594C23#57812yes—
595C23C23×D411yescharacteristic
596Q8—42no—
597Q8—42no—
598Q8—42no—
599Q8—42no—
600Q8—816no—
601Q8—84no—
602D4—24no—
603D4—24no—
604D4—24no—
605D4—24no—
606D4—42no—
607D4—42no—
608D4—48no—
609D4—48no—
610D4—42no—
611D4—42no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—28no—
615C2×C4—28no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—44no—
631C2×C4—44no—
632C2×C4—44no—
633C2×C4—44no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—816no—
653C2×C4—816no—
654C2×C4—84no—
655C2×C4—84no—
656C2×C4—84no—
657C2×C4—84no—
658C2×C4—84no—
659C2×C4—84no—
660C2×C4#53512yes—
661C2×C4#53814yes—
662C2×C4#53914yes—
663C2×C4#54612yes—
664C2×C4#54812yes—
665C2×C4#55114yes—
666C2×C4#56214yes—
667C2×C4C2×AGL(1,ℤ/8)14yes—
668C2×C4C2×AGL(1,ℤ/8)14yes—
669C2×C4C22×#4111yescharacteristic
670C2×C4C22×#4111yescharacteristic
671C2×C4C2×H(5,𝔽2)11yescharacteristic
672C2×C4C2×H(5,𝔽2)11yescharacteristic
673C2×C4C2×H(5,𝔽2)11yescharacteristic
674C2×C4C2×2−1+411yescharacteristic
675C8—42no—
676C8—42no—
677C8—42no—
678C8—42no—
679C22—44no—
680C22—44no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22—44no—
685C22—82no—
686C22—82no—
687C22—82no—
688C22—82no—
689C22—82no—
690C22—82no—
691C22—816no—
692C22—816no—
693C22—82no—
694C22—82no—
695C22#269614yes—
696C22#321714yes—
697C22#322514yes—
698C22#330614yes—
699C22#333014yes—
700C22#336714yes—
701C22#337314yes—
702C22C2×#53511yescharacteristic
703C22C2×#54611yescharacteristic
704C22C2×#54811yescharacteristic
705C22C22×AGL(1,ℤ/8)11yescharacteristic
706C22C22×AGL(1,ℤ/8)11yescharacteristic
707C22C2×#57711yescharacteristic
708C22C2×#57811yescharacteristic
709C4—24no—
710C4—24no—
711C4—42no—
712C4—42no—
713C4—42no—
714C4—42no—
715C4—82no—
716C4—82no—
717C4—82no—
718C4—82no—
719C4—82no—
720C4—82no—
721C4#269614yes—
722C4C2×#53811yescharacteristic
723C4C2×#53911yescharacteristic
724C4C2×#55111yescharacteristic
725C4C2×#56211yescharacteristic
726C2—84no—
727C2—84no—
728C2#3165418yesdirect product factor
729C2C2×#269611yescharacteristic
730C2C2×#321711yescharacteristic
731C2C2×#322511yescharacteristic
732C2C2×#330611yescharacteristic
733C2C2×#333011yescharacteristic
734C2C2×#336711yescharacteristic
735C2C2×#337311yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2542C2semidirect
2. C2×#2447C2semidirect
3. #31654C2direct (N × H)
4. C2×#2100C2semidirect
5. C2×#2072C2semidirect
6. C2×#2055C2semidirect
7. C2×#2024C2semidirect
8. C2×#2023C2semidirect
10. C2×#1959C2semidirect
11. C2×#1936C2semidirect
12. C2×#1917C2semidirect
15. C2×#1877C2semidirect
16. C2×#1802C2semidirect
36. #2542C22semidirect
38. #2447C22semidirect
54. #2100C22semidirect
55. #2072C22semidirect
56. #2055C22semidirect
57. #2024C22semidirect
58. #2023C22semidirect
60. #1959C22semidirect
61. #1936C22semidirect
62. #1917C22semidirect
65. #1877C22semidirect
66. #1802C22semidirect
728. C2#31654direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#25422
C2×#24472
#316542
C2×#21002
C2×#20722
C2×#20552
C2×#20242
C2×#20232
C2×#20122
C2×#19592
C2×#19362
C2×#19172
C2×#18792
C2×#18772
C2×#18022