Finite Group Databasebeta

← #7713191

Subgroups — #7713191

Order 512.

4862 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48902C214yesmaximal, complemented
2#48901C214yesmaximal, complemented
3#48035C214yesmaximal, complemented
4#48034C214yesmaximal, complemented
5#47220C214yesmaximal, complemented
6#47030C214yesmaximal, complemented
7#46853C214yesmaximal, complemented
8#46449C214yesmaximal, complemented
9#39799C212yesmaximal, complemented
10#39669C212yesmaximal, complemented
11#39550C212yesmaximal, complemented
12#39420C212yesmaximal, complemented
13#37948C212yesmaximal, complemented
14#37940C212yesmaximal, complemented
15#37762C212yesmaximal, complemented
16#37754C212yesmaximal, complemented
17#37452C212yesmaximal, complemented
18#36766C212yesmaximal, complemented
19#36764C212yesmaximal, complemented
20#35103C211yesmaximal, characteristic, complemented
21#35033C211yesmaximal, characteristic, complemented
22#35032C211yesmaximal, characteristic, complemented
23#35015C211yesmaximal, characteristic, complemented
24#35005C211yesmaximal, characteristic, complemented
25#35002C211yesmaximal, characteristic, complemented
26#34360C212yesmaximal, complemented
27C2×#2335C211yesmaximal, characteristic, complemented
28C2×#543C2212yes—
29C2×#538C2212yes—
30C2×#529C2212yes—
31C2×#525C2212yes—
32C22×#123C2211yescharacteristic
33#2857C2211yescharacteristic
34#2857C2212yes—
35#2857C2211yescharacteristic
36#2857C2211yescharacteristic
37#2856C2211yescharacteristic
38#2855C2212yes—
39#2851C2212yes—
40#2850C2212yes—
41#2850C2212yes—
42#2847C2212yes—
43#2814C2214yes—
44#2813C2214yes—
45#2801C2214yescomplemented
46#2797C2214yescomplemented
47#2796C2214yescomplemented
48#2795C2214yescomplemented
49#2793C2214yescomplemented
50#2792C2214yescomplemented
51#2789C2214yescomplemented
52#2787C2214yescomplemented
53#2787C2214yescomplemented
54#2786C2214yescomplemented
55#2784C2214yescomplemented
56#2781C2214yescomplemented
57#2780C2214yescomplemented
58#2779C2214yescomplemented
59#2778C2214yes—
60#2777C2214yescomplemented
61#2775C2214yescomplemented
62#2773C2214yescomplemented
63#2768C2214yescomplemented
64#2765C2214yescomplemented
65#2762C2214yescomplemented
66#2759C2214yescomplemented
67#2757C2214yescomplemented
68#2757C2214yescomplemented
69#2755C2214yescomplemented
70#2746C2214yes—
71#2744C2214yescomplemented
72#2730C2214yes—
73#2730C2214yescomplemented
74#2730C2214yescomplemented
75#2729C2214yescomplemented
76#2723C2214yes—
77#2723C2214yescomplemented
78#2721C2214yescomplemented
79#2720C2214yescomplemented
80#2718C2214yescomplemented
81#2715C2214yescomplemented
82#2710C2214yescomplemented
83#2708C2214yes—
84#2702C2214yescomplemented
85#2700C2214yescomplemented
86#2690C2214yescomplemented
87#2688C2214yes—
88#2686C2214yescomplemented
89#2686C2214yescomplemented
90#2681C2214yes—
91#2676C2214yes—
92#2674C2214yescomplemented
93#2659C2212yes—
94#2659C2212yes—
95#2646C2212yes—
96#2639C2212yes—
97#2630C2214yes—
98#2630C2214yes—
99#2627C2212yes—
100#2626C2212yes—
101#2626C2212yes—
102#2618C2214yes—
103#2618C2212yes—
104#2618C2212yes—
105#2618C2214yes—
106#2617C2212yes—
107#2617C2212yes—
108#2617C2212yes—
109#2609C2214yescomplemented
110#2608C2214yescomplemented
111#2607C2214yescomplemented
112#2602C2214yescomplemented
113#2602C2214yescomplemented
114#2601C2214yescomplemented
115#2601C2214yescomplemented
116#2600C2214yescomplemented
117#2599C2214yescomplemented
118#2598C2214yes—
119#2594C2214yescomplemented
120#2590C2214yescomplemented
121#2588C2214yescomplemented
122#2587C2214yescomplemented
123#2585C2214yescomplemented
124#2583C2214yescomplemented
125#2579C2214yes—
126#2578C2214yes—
127#2577C2214yescomplemented
128#2576C2214yescomplemented
129#2574C2214yescomplemented
130#2566C2212yescomplemented
131#2565C2212yescomplemented
132#2560C2214yes—
133#2559C2214yescomplemented
134#2557C2214yescomplemented
135#2549C2214yescomplemented
136#2549C2214yescomplemented
137#2545C2212yescomplemented
138#2544C2212yescomplemented
139#2540C2214yes—
140#2534C2214yes—
141#2524C2214yescomplemented
142#2511C2212yescomplemented
143#2510C2214yes—
144#2510C2214yes—
145#2507C2212yescomplemented
146#2500C2212yescomplemented
147#2499C2212yescomplemented
148#2498C2214yes—
149#2496C2212yescomplemented
150#2491C2212yescomplemented
151#2488C2214yes—
152#2477C2214yescomplemented
153#2476C2214yes—
154#2476C2214yescomplemented
155#2474C2214yescomplemented
156#2474C2214yescomplemented
157#2474C2214yescomplemented
158#2472C2214yes—
159#2469C2214yescomplemented
160#2464C2214yes—
161#2463C2214yescomplemented
162#2461C2214yes—
163#2460C2214yescomplemented
164#2451C2212yescomplemented
165#2449C2214yes—
166#2449C2214yes—
167#2449C2214yescomplemented
168#2446C2212yescomplemented
169#2443C2214yescomplemented
170#2441C2212yescomplemented
171#2441C2212yescomplemented
172#2440C2212yescomplemented
173#2440C2212yescomplemented
174#2440C2212yescomplemented
175#2440C2212yescomplemented
176#2439C2212yescomplemented
177#2439C2212yescomplemented
178#2432C2212yescomplemented
179#2431C2212yescomplemented
180#2430C2214yes—
181#2428C2212yescomplemented
182#2426C2214yes—
183#2422C2212yescomplemented
184#2421C2214yescomplemented
185#2419C2214yes—
186#2418C2214yes—
187#2415C2214yescomplemented
188#2413C2214yescomplemented
189#2412C2214yes—
190#2410C2214yes—
191#2376C2214yescomplemented
192#2376C2214yescomplemented
193#2358C2214yes—
194#2358C2214yes—
195#2352C2214yes—
196#2352C2214yescomplemented
197D4×C4⋊C4C2214yes—
198D4×C4⋊C4C2214yescomplemented
199#2335C2214yes—
200#2335C2214yes—
201#2335C2214yes—
202#2335C2214yes—
203#2329C2212yes—
204#2329C2212yes—
205#2329C2212yes—
206#2329C2214yescomplemented
207#2325C2212yes—
208#2325C2212yes—
209#2325C2212yes—
210#2325C2212yes—
211#2325C2212yes—
212#2325C2214yescomplemented
213#2315C2212yes—
214#2314C2214yescomplemented
215#2313C2212yes—
216#2311C2214yescomplemented
217C4×C22⋊Q8C2212yes—
218C4×#121C2212yes—
219C2×#390C2211yescharacteristic
220C2×#389C2211yescharacteristic
221C2×#388C2211yescharacteristic
222C2×#388C2211yescharacteristic
223C2×#388C2211yescharacteristic
224C2×#388C2211yescharacteristic
225C2×#387C2211yescharacteristic
226C2×#387C2211yescharacteristic
227C2×#386C2211yescharacteristic
228C2×#385C2211yescharacteristic
229#2280C2212yes—
230C2×#380C2211yescharacteristic
231C2×#380C2212yes—
232C2×C4×C4⋊C4C2211yescharacteristic
233C2×C4×C22⋊C4C2211yescharacteristic
234C2×C4×C22⋊C4C2211yescharacteristic
235C22×#41C2312yes—
236C23×D4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239#543—48no—
240#538—48no—
241C2×C4⋊Q8C2312yes—
242C2×C4⋊Q8C2311yescharacteristic
243C2×C4⋊Q8C2311yescharacteristic
244C2×C4⋊Q8C2311yescharacteristic
245C2×#127C2311yescharacteristic
246#529—48no—
247C2×#126C2314yes—
248C2×#126C2314yes—
249C2×#125C2312yes—
250C2×#125C2312yes—
251C2×#124C2312yes—
252C2×#124C2314yes—
253C2×#124C2312yes—
254C2×#124C2312yes—
255C2×#124C2314yes—
256#525—216no—
257C2×#123—28no—
258C2×#123C2314yes—
259C2×#123C2314yes—
260C2×#123C2314yes—
261C2×#123C2314yes—
262C2×#123C2314yes—
263C2×#123C2314yes—
264C2×C22⋊Q8C2312yes—
265C2×C22⋊Q8C2312yes—
266C2×C22⋊Q8C2312yes—
267C2×C22⋊Q8C2312yes—
268C2×C22⋊Q8C2314yes—
269C2×C22⋊Q8C2314yes—
270C2×C22⋊Q8C2314yes—
271C2×C22⋊Q8C2314yes—
272C2×C22⋊Q8C2314yes—
273C2×C22⋊Q8C2314yes—
274C2×C22⋊Q8C2314yes—
275C2×#121C2312yes—
276C2×#121C2312yes—
277C2×#121C2312yes—
278C2×#121C2312yes—
279C2×#121C2314yes—
280C2×#121C2312yes—
281C2×#121C2312yes—
282C2×#121C2314yes—
283C2×#121C2314yes—
284C2×#120C2314yes—
285C2×#120C2314yes—
286C2×C4×Q8C2312yes—
287C2×C4×Q8C2312yes—
288C2×C4×D4C2314yes—
289C2×C4×D4C2314yes—
290C2×C4×D4C2312yes—
291C2×C4×D4C2314yes—
292C2×C4×D4C2314yes—
293C2×C4×D4C2314yes—
294C2×C4×D4C2314yes—
295C2×C4×D4C2312yes—
296C2×#117C2312yes—
297C2×#117C2314yes—
298C2×#117C2314yes—
299C2×#117C2312yes—
300C2×#117C2312yes—
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2314yes—
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2312yes—
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2312yes—
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2314yes—
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C42C2311yescharacteristic
323C22×C42C2311yescharacteristic
324C22×C42C2311yescharacteristic
325C22×C42C2311yescharacteristic
326C22×C42C2311yescharacteristic
327#401C2314yes—
328#401C2314yes—
329#400C2314yes—
330#400C2314yes—
331#400C2314yes—
332#400C2314yes—
333#400C2314yes—
334#400C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2314yes—
338#399C2314yes—
339#399C2314yes—
340#399C2314yes—
341#399C2314yes—
342#399C2314yes—
343#398C2314yes—
344#398C2314yes—
345#398C2314yes—
346#398C2314yes—
347#398C2314yes—
348#398C2314yes—
349#398C2314yes—
350#398C2314yes—
351#398C2314yes—
352#398C2314yes—
353#398C2314yes—
354#398C2314yes—
355#398C2314yes—
356#398C2314yes—
357#398C2314yes—
358#397C2314yes—
359#397C2314yes—
360#397C2314yes—
361#397C2314yes—
362#397C2314yes—
363#397C2314yes—
364#397C2314yes—
365#397C2314yes—
366#397C2314yes—
367#397C2314yes—
368#397C2314yes—
369#397C2314yes—
370#397C2314yes—
371#397C2314yes—
372#397C2314yes—
373#396C2314yes—
374#396C2314yes—
375#396C2314yes—
376#396C2314yes—
377#396C2314yes—
378#396C2314yes—
379#396C2314yes—
380#396C2314yes—
381#396C2314yes—
382#396C2314yes—
383#396C2314yes—
384#396C2314yes—
385#396C2314yes—
386#396C2314yes—
387#395C2314yes—
388#395C2314yes—
389#395C2314yes—
390#395C2314yes—
391#395C2314yes—
392#395C2314yes—
393#395C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#393C2314yes—
414#393C2314yes—
415#393C2314yes—
416#393C2314yes—
417#393C2314yes—
418#392C2314yes—
419#392C2314yes—
420#392C2314yes—
421#392C2314yes—
422#392C2314yes—
423#391C2312yes—
424#391C2312yes—
425#391C2314yes—
426#391C2314yes—
427#391C2314yes—
428#391C2314yes—
429#391C2312yes—
430#391C2312yes—
431#391C2312yes—
432#391C2312yes—
433#391C2314yes—
434#391C2312yes—
435#391C2312yes—
436#390C2314yes—
437#390C2312yes—
438#390C2312yes—
439#390C2314yes—
440#390C2314yes—
441#390C2314yes—
442#390C2312yes—
443#390C2312yes—
444#390C2312yes—
445#390C2314yes—
446#390C2312yes—
447#389C2312yes—
448#389C2314yes—
449#389C2314yes—
450#389C2314yes—
451#389C2314yes—
452#389C2314yes—
453#389C2314yes—
454#389C2314yes—
455#389C2314yes—
456#389C2312yes—
457#389C2314yes—
458#389C2312yes—
459#389C2312yes—
460#389C2312yes—
461#389C2312yes—
462#389C2312yes—
463#389C2312yes—
464#389C2312yes—
465#389C2312yes—
466#389C2312yes—
467#389C2312yes—
468#389C2314yes—
469#389C2312yes—
470#389C2312yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#387C2314yes—
508#387C2314yes—
509#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#387C2314yes—
520#387C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#386C2314yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yes—
545#386C2314yes—
546#386C2314yes—
547#386C2314yes—
548#386C2314yes—
549#386C2314yes—
550#386C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#386C2314yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
574#385C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#384C2311yescharacteristic
592#384C2311yescharacteristic
593#384C2314yes—
594#384C2311yescharacteristic
595#384C2312yes—
596#384C2311yescharacteristic
597#383C2314yes—
598#383C2314yes—
599#382C2312yes—
600#382C2314yes—
601#382C2314yes—
602#382C2312yes—
603#382C2312yes—
604#381C2314yes—
605#381C2314yes—
606#381C2314yes—
607#380C2314yes—
608#380C2314yes—
609#380C2314yes—
610#380C2314yes—
611#380C2312yes—
612#380C2312yes—
613#380C2312yes—
614#380C2314yes—
615#380C2312yes—
616#380C2314yes—
617#380C2312yes—
618#380C2314yes—
619#380C2312yes—
620#380C2312yes—
621#380C2312yes—
622#380C2314yes—
623#380C2314yes—
624#380C2312yes—
625#380C2312yes—
626#380C2312yes—
627#380C2312yes—
628#379C2314yes—
629C4×C4⋊C4C2314yes—
630C4×C4⋊C4C2312yes—
631C4×C4⋊C4C2312yes—
632C4×C4⋊C4C2314yes—
633C4×C4⋊C4C2314yes—
634C4×C4⋊C4C2312yes—
635C4×C4⋊C4C2312yes—
636C4×C4⋊C4C2312yes—
637C4×C4⋊C4C2312yes—
638C4×C22⋊C4C2314yes—
639C4×C22⋊C4C2314yes—
640C4×C22⋊C4C2314yes—
641C4×C22⋊C4C2314yes—
642C4×C22⋊C4C2314yes—
643C4×C22⋊C4C2314yes—
644C4×C22⋊C4C2312yes—
645C4×C22⋊C4C2312yes—
646C4×C22⋊C4C2312yes—
647C4×C22⋊C4C2312yes—
648C4×C22⋊C4C2312yes—
649C4×C22⋊C4C2312yes—
650C4×C22⋊C4C2312yes—
651C4×C22⋊C4C2312yes—
652C2×#95C2311yescharacteristic
653C2×#95C2311yescharacteristic
654C2×#95C2311yescharacteristic
655C2×#95C2311yescharacteristic
656C2×#95C2311yescharacteristic
657C2×#95C2314yes—
658C2×#95C2311yescharacteristic
659C2×#95C2311yescharacteristic
660C2×#95C2311yescharacteristic
661C2×#95C2311yescharacteristic
662C2×#95C2311yescharacteristic
663C25C2411yescharacteristic
664C25C2411yescharacteristic
665C2×#41—28no—
666C2×#41—82no—
667C2×#41—82no—
668C22×Q8C2412yes—
669C22×Q8C2412yes—
670C22×Q8C2412yes—
671C22×Q8C2414yes—
672C22×D4—24no—
673C22×D4—81no—
674C22×D4—81no—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2412yes—
678C22×D4C2412yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C22×D4C2412yes—
682C22×D4C2414yes—
683C22×D4C2414yes—
684C23×C4—24no—
685C23×C4—81no—
686C23×C4—81no—
687C23×C4—81no—
688C23×C4—81no—
689C23×C4#4118yes—
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2414yes—
700C23×C4C2412yes—
701C23×C4C2412yes—
702C23×C4C2414yes—
703C23×C4C2414yes—
704C23×C4C2414yes—
705C23×C4C2414yes—
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2412yes—
709C23×C4C2412yes—
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C4⋊Q8—81no—
713C4⋊Q8—81no—
714C4⋊Q8—82no—
715C4⋊Q8—81no—
716#127—81no—
717#126—48no—
718#126—48no—
719#125—44no—
720#125—82no—
721#124—44no—
722#124—48no—
723#124—82no—
724#124—82no—
725#124—84no—
726#123—216no—
727#123—216no—
728#123—216no—
729#123—48no—
730#123—48no—
731#123—84no—
732C22⋊Q8—28no—
733C22⋊Q8—28no—
734C22⋊Q8—28no—
735C22⋊Q8—28no—
736C22⋊Q8—48no—
737C22⋊Q8—48no—
738C22⋊Q8—48no—
739C22⋊Q8—48no—
740C22⋊Q8—48no—
741C22⋊Q8—84no—
742C22⋊Q8—84no—
743#121—28no—
744#121—28no—
745#121—28no—
746#121—28no—
747#121—48no—
748#121—82no—
749#121—84no—
750#121—82no—
751#121—84no—
752#120—216no—
753#120—48no—
754C4×Q8—44no—
755C4×Q8—82no—
756C4×D4—216no—
757C4×D4—216no—
758C4×D4—44no—
759C4×D4—48no—
760C4×D4—48no—
761C4×D4—82no—
762C4×D4—84no—
763C4×D4—84no—
764#117—28no—
765#117—48no—
766#117—82no—
767#117—84no—
768#117—82no—
769C2×C4⋊C4—24no—
770C2×C4⋊C4—24no—
771C2×C4⋊C4—24no—
772C2×C4⋊C4—81no—
773C2×C4⋊C4—84no—
774C2×C4⋊C4—82no—
775C2×C4⋊C4—81no—
776C2×C4⋊C4—82no—
777C2×C4⋊C4—81no—
778C2×C4⋊C4—81no—
779C2×C4⋊C4C2412yes—
780C2×C4⋊C4C2412yes—
781C2×C4⋊C4C2414yes—
782C2×C4⋊C4C2412yes—
783C2×C4⋊C4C2412yes—
784C2×C4⋊C4C2412yes—
785C2×C4⋊C4C2412yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2412yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2412yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2412yes—
793C2×C4⋊C4C2412yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2412yes—
803C2×C4⋊C4C2412yes—
804C2×C4⋊C4C2412yes—
805C2×C4⋊C4C2412yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2412yes—
808C2×C4⋊C4C2412yes—
809C2×C4⋊C4C2412yes—
810C2×C4⋊C4C2412yes—
811C2×C4⋊C4C2412yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2412yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C22⋊C4—24no—
830C2×C22⋊C4—24no—
831C2×C22⋊C4—24no—
832C2×C22⋊C4—24no—
833C2×C22⋊C4—24no—
834C2×C22⋊C4—24no—
835C2×C22⋊C4—48no—
836C2×C22⋊C4—81no—
837C2×C22⋊C4—81no—
838C2×C22⋊C4—81no—
839C2×C22⋊C4—81no—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2412yes—
843C2×C22⋊C4C2412yes—
844C2×C22⋊C4C2412yes—
845C2×C22⋊C4C2412yes—
846C2×C22⋊C4C2412yes—
847C2×C22⋊C4C2412yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2412yes—
851C2×C22⋊C4C2412yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C42—24no—
888C2×C42—81no—
889C2×C42—81no—
890C2×C42—81no—
891C2×C42—81no—
892C2×C42C2412yes—
893C2×C42C2414yes—
894C2×C42C2412yes—
895C2×C42C2414yes—
896C2×C42C2414yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899C2×C42C2414yes—
900C2×C42C2414yes—
901C2×C42C2412yes—
902C2×C42C2412yes—
903C2×C42C2412yes—
904C2×C42C2412yes—
905C2×C42C2412yes—
906C2×C42C2411yescharacteristic
907C2×C42C2411yescharacteristic
908C2×C42C2411yescharacteristic
909C2×C42C2411yescharacteristic
910C2×C42C2412yes—
911#95C2412yes—
912#95C2412yes—
913#95C2412yes—
914#95C2412yes—
915#95C2412yes—
916#95C2412yes—
917#95C2412yes—
918#95C2412yes—
919#95C2412yes—
920#95C2412yes—
921#95C2412yes—
922#95C2412yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965C24—22no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—41no—
971C24—41no—
972C24—41no—
973C24—41no—
974C24—41no—
975C24—41no—
976C24—41no—
977C24—41no—
978C24C2×#4114yes—
979C24C2512yes—
980C24C2514yes—
981C24C2512yes—
982C24C2511yescharacteristic
983#41—816no—
984C2×Q8—24no—
985C2×Q8—24no—
986C2×Q8—24no—
987C2×Q8—42no—
988C2×Q8—42no—
989C2×Q8—42no—
990C2×Q8—42no—
991C2×Q8—42no—
992C2×Q8—42no—
993C2×Q8—44no—
994C2×Q8—44no—
995C2×Q8—44no—
996C2×D4—28no—
997C2×D4—28no—
998C2×D4—28no—
999C2×D4—28no—
1000C2×D4—28no—
1001C2×D4—28no—
1002C2×D4—24no—
1003C2×D4—24no—
1004C2×D4—24no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—44no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—88no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—22no—
1029C22×C4—22no—
1030C22×C4—22no—
1031C22×C4—22no—
1032C22×C4—22no—
1033C22×C4—22no—
1034C22×C4—22no—
1035C22×C4—28no—
1036C22×C4—24no—
1037C22×C4—24no—
1038C22×C4—41no—
1039C22×C4—41no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—41no—
1045C22×C4—42no—
1046C22×C4—42no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—44no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—44no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4—41no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—41no—
1066C22×C4—41no—
1067C22×C4—41no—
1068C22×C4—44no—
1069C22×C4—41no—
1070C22×C4—44no—
1071C22×C4—44no—
1072C22×C4—42no—
1073C22×C4—42no—
1074C22×C4—41no—
1075C22×C4—44no—
1076C22×C4—44no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—44no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—88no—
1085C22×C4—88no—
1086C22×C4C2×#4114yes—
1087C22×C4C2×#4114yes—
1088C22×C4C2×#4118yes—
1089C22×C4C2×#4118yes—
1090C22×C4H(5,𝔽2)14yes—
1091C22×C42−1+414yes—
1092C22×C4C2512yes—
1093C22×C4C2512yes—
1094C22×C4C2512yes—
1095C22×C4C2514yes—
1096C22×C4C2514yes—
1097C22×C4C2512yes—
1098C22×C4C2512yes—
1099C22×C4C2514yes—
1100C22×C4C2514yes—
1101C22×C4C2512yes—
1102C22×C4C2514yes—
1103C22×C4C2514yes—
1104C22×C4C2512yes—
1105C22×C4C2512yes—
1106C22×C4C2512yes—
1107C22×C4C2514yes—
1108C22×C4C2511yescharacteristic
1109C22×C4C2512yes—
1110C22×C4C2511yescharacteristic
1111C22×C4C2511yescharacteristic
1112C22×C4C2511yescharacteristic
1113C22×C4C2511yescharacteristic
1114C22×C4C2511yescharacteristic
1115C4⋊C4—28no—
1116C4⋊C4—24no—
1117C4⋊C4—24no—
1118C4⋊C4—24no—
1119C4⋊C4—24no—
1120C4⋊C4—28no—
1121C4⋊C4—28no—
1122C4⋊C4—28no—
1123C4⋊C4—24no—
1124C4⋊C4—24no—
1125C4⋊C4—28no—
1126C4⋊C4—24no—
1127C4⋊C4—24no—
1128C4⋊C4—24no—
1129C4⋊C4—24no—
1130C4⋊C4—44no—
1131C4⋊C4—44no—
1132C4⋊C4—44no—
1133C4⋊C4—44no—
1134C4⋊C4—44no—
1135C4⋊C4—44no—
1136C4⋊C4—44no—
1137C4⋊C4—44no—
1138C4⋊C4—42no—
1139C4⋊C4—42no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—42no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—42no—
1147C4⋊C4—42no—
1148C4⋊C4—42no—
1149C4⋊C4—42no—
1150C4⋊C4—44no—
1151C4⋊C4—44no—
1152C4⋊C4—42no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—42no—
1158C4⋊C4—44no—
1159C4⋊C4—42no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C22⋊C4—28no—
1166C22⋊C4—28no—
1167C22⋊C4—28no—
1168C22⋊C4—28no—
1169C22⋊C4—28no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—24no—
1173C22⋊C4—24no—
1174C22⋊C4—28no—
1175C22⋊C4—28no—
1176C22⋊C4—24no—
1177C22⋊C4—24no—
1178C22⋊C4—24no—
1179C22⋊C4—24no—
1180C22⋊C4—28no—
1181C22⋊C4—24no—
1182C22⋊C4—24no—
1183C22⋊C4—28no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C42—28no—
1213C42—24no—
1214C42—24no—
1215C42—42no—
1216C42—42no—
1217C42—42no—
1218C42—42no—
1219C42—42no—
1220C42—41no—
1221C42—41no—
1222C42—41no—
1223C42—41no—
1224C42—42no—
1225C42—44no—
1226C42—44no—
1227C42—44no—
1228C42—44no—
1229C42—44no—
1230C42—44no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—28no—
1242C23—22no—
1243C23—24no—
1244C23—22no—
1245C23—24no—
1246C23—24no—
1247C23—22no—
1248C23—24no—
1249C23—22no—
1250C23—22no—
1251C23—24no—
1252C23—24no—
1253C23—22no—
1254C23—24no—
1255C23—22no—
1256C23—44no—
1257C23—44no—
1258C23—44no—
1259C23—44no—
1260C23—44no—
1261C23—82no—
1262C23—82no—
1263C23—82no—
1264C23—82no—
1265C23—82no—
1266C23—82no—
1267C23—82no—
1268C23—82no—
1269C23C22×#4114yes—
1270C23C22×#4112yes—
1271C23C2×H(5,𝔽2)12yes—
1272C23C2×2−1+412yes—
1273C23C2611yescharacteristic
1274Q8—84no—
1275Q8—84no—
1276Q8—84no—
1277Q8—164no—
1278D4—416no—
1279D4—416no—
1280D4—84no—
1281D4—84no—
1282D4—84no—
1283D4—88no—
1284D4—88no—
1285D4—164no—
1286D4—164no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—24no—
1302C2×C4—24no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—24no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—24no—
1311C2×C4—24no—
1312C2×C4—24no—
1313C2×C4—22no—
1314C2×C4—24no—
1315C2×C4—24no—
1316C2×C4—22no—
1317C2×C4—24no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—24no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—24no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—24no—
1335C2×C4—24no—
1336C2×C4—22no—
1337C2×C4—24no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—24no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—24no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—24no—
1347C2×C4—24no—
1348C2×C4—24no—
1349C2×C4—44no—
1350C2×C4—48no—
1351C2×C4—44no—
1352C2×C4—48no—
1353C2×C4—44no—
1354C2×C4—44no—
1355C2×C4—48no—
1356C2×C4—416no—
1357C2×C4—44no—
1358C2×C4—44no—
1359C2×C4—44no—
1360C2×C4—84no—
1361C2×C4—82no—
1362C2×C4—82no—
1363C2×C4—82no—
1364C2×C4—82no—
1365C2×C4—82no—
1366C2×C4—82no—
1367C2×C4—88no—
1368C2×C4—164no—
1369C2×C4—164no—
1370C2×C4—164no—
1371C2×C4C22×#4114yes—
1372C2×C4C22×#4112yes—
1373C2×C4C22×#4112yes—
1374C2×C4C2×H(5,𝔽2)12yes—
1375C2×C4C2×H(5,𝔽2)12yes—
1376C2×C4C2×2−1+412yes—
1377C2×C4C2×2−1+412yes—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—24no—
1385C22—24no—
1386C22—24no—
1387C22—42no—
1388C22—42no—
1389C22—42no—
1390C22—42no—
1391C22—44no—
1392C22—42no—
1393C22—44no—
1394C22—42no—
1395C22—44no—
1396C22—42no—
1397C22—42no—
1398C22—44no—
1399C22—44no—
1400C22—42no—
1401C22—44no—
1402C22—42no—
1403C22—44no—
1404C22—42no—
1405C22—88no—
1406C22—88no—
1407C22#351114yes—
1408C22C23×#4111yescharacteristic
1409C22C22×H(5,𝔽2)11yescharacteristic
1410C22C22×2−1+411yescharacteristic
1411C22H(7,𝔽2)11yescharacteristic
1412C22H(7,𝔽2)11yescharacteristic
1413C22H(7,𝔽2)11yescharacteristic
1414C222−1+611yescharacteristic
1415C4—24no—
1416C4—22no—
1417C4—22no—
1418C4—22no—
1419C4—22no—
1420C4—22no—
1421C4—22no—
1422C4—42no—
1423C4—44no—
1424C4—42no—
1425C4—44no—
1426C4—42no—
1427C4—44no—
1428C4—42no—
1429C4—42no—
1430C4—44no—
1431C4—44no—
1432C4—42no—
1433C4—42no—
1434C4—42no—
1435C4—44no—
1436C4—42no—
1437C4—44no—
1438C2—24no—
1439C2—44no—
1440C2—84no—
1441C2—82no—
1442C2C2×#351111yescharacteristic
1443C2#6284411yescharacteristic
1444C2#6284511yescharacteristic
1445C2#6286411yescharacteristic
1446C2#6286611yescharacteristic
1447C2#6287911yescharacteristic
1448C2#6288011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #48902C2semidirect
2. #48901C2semidirect
3. #48035C2semidirect
4. #48034C2semidirect
5. #47220C2semidirect
6. #47030C2semidirect
7. #46853C2semidirect
8. #46449C2semidirect
9. #39799C2semidirect
10. #39669C2semidirect
11. #39550C2semidirect
12. #39420C2semidirect
13. #37948C2semidirect
14. #37940C2semidirect
15. #37762C2semidirect
16. #37754C2semidirect
17. #37452C2semidirect
18. #36766C2semidirect
19. #36764C2semidirect
20. #35103C2semidirect
21. #35033C2semidirect
22. #35032C2semidirect
23. #35015C2semidirect
24. #35005C2semidirect
25. #35002C2semidirect
26. #34360C2semidirect
27. C2×#2335C2semidirect
45. #2801C22semidirect
46. #2797C22semidirect
47. #2796C22semidirect
48. #2795C22semidirect
49. #2793C22semidirect
50. #2792C22semidirect
51. #2789C22semidirect
52. #2787C22semidirect
53. #2787C22semidirect
54. #2786C22semidirect
55. #2784C22semidirect
56. #2781C22semidirect
57. #2780C22semidirect
58. #2779C22semidirect
60. #2777C22semidirect
61. #2775C22semidirect
62. #2773C22semidirect
63. #2768C22semidirect
64. #2765C22semidirect
65. #2762C22semidirect
66. #2759C22semidirect
67. #2757C22semidirect
68. #2757C22semidirect
69. #2755C22semidirect
71. #2744C22semidirect
73. #2730C22semidirect
74. #2730C22semidirect
75. #2729C22semidirect
77. #2723C22semidirect
78. #2721C22semidirect
79. #2720C22semidirect
80. #2718C22semidirect
81. #2715C22semidirect
82. #2710C22semidirect
84. #2702C22semidirect
85. #2700C22semidirect
86. #2690C22semidirect
88. #2686C22semidirect
89. #2686C22semidirect
92. #2674C22semidirect
109. #2609C22semidirect
110. #2608C22semidirect
111. #2607C22semidirect
112. #2602C22semidirect
113. #2602C22semidirect
114. #2601C22semidirect
115. #2601C22semidirect
116. #2600C22semidirect
117. #2599C22semidirect
119. #2594C22semidirect
120. #2590C22semidirect
121. #2588C22semidirect
122. #2587C22semidirect
123. #2585C22semidirect
124. #2583C22semidirect
127. #2577C22semidirect
128. #2576C22semidirect
129. #2574C22semidirect
130. #2566C22semidirect
131. #2565C22semidirect
133. #2559C22semidirect
134. #2557C22semidirect
135. #2549C22semidirect
136. #2549C22semidirect
137. #2545C22semidirect
138. #2544C22semidirect
141. #2524C22semidirect
142. #2511C22semidirect
145. #2507C22semidirect
146. #2500C22semidirect
147. #2499C22semidirect
149. #2496C22semidirect
150. #2491C22semidirect
152. #2477C22semidirect
154. #2476C22semidirect
155. #2474C22semidirect
156. #2474C22semidirect
157. #2474C22semidirect
159. #2469C22semidirect
161. #2463C22semidirect
163. #2460C22semidirect
164. #2451C22semidirect
167. #2449C22semidirect
168. #2446C22semidirect
169. #2443C22semidirect
170. #2441C22semidirect
171. #2441C22semidirect
172. #2440C22semidirect
173. #2440C22semidirect
174. #2440C22semidirect
175. #2440C22semidirect
176. #2439C22semidirect
177. #2439C22semidirect
178. #2432C22semidirect
179. #2431C22semidirect
181. #2428C22semidirect
183. #2422C22semidirect
184. #2421C22semidirect
187. #2415C22semidirect
188. #2413C22semidirect
191. #2376C22semidirect
192. #2376C22semidirect
196. #2352C22semidirect
198. D4×C4⋊C4C22semidirect
206. #2329C22semidirect
212. #2325C22semidirect
214. #2314C22semidirect
216. #2311C22semidirect

Maximal subgroups

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

subgroupindex
#489022
#489012
#480352
#480342
#472202
#470302
#468532
#464492
#397992
#396692
#395502
#394202
#379482
#379402
#377622
#377542
#374522
#367662
#367642
#351032
#350332
#350322
#350152
#350052
#350022
#343602
C2×#23352