Finite Group Databasebeta

← #7718469

Subgroups — #7718469

Order 512.

5036 conjugacy classes of subgroups.

The subgroup lattice has 1481 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51571C214yesmaximal, complemented
2#51570C214yesmaximal, complemented
3#51567C214yesmaximal, complemented
4#51566C214yesmaximal, complemented
5#43578C214yesmaximal, complemented
6#43575C214yesmaximal, complemented
7#43155C214yesmaximal, complemented
8#43151C214yesmaximal, complemented
9#39799C212yesmaximal, complemented
10#39671C212yesmaximal, complemented
11#37950C212yesmaximal, complemented
12#37891C212yesmaximal, complemented
13#37762C212yesmaximal, complemented
14#37703C212yesmaximal, complemented
15#36980C212yesmaximal, complemented
16#36730C212yesmaximal, complemented
17#36168C212yesmaximal, complemented
18#36108C212yesmaximal, complemented
19#35120C211yesmaximal, characteristic, complemented
20#35119C211yesmaximal, characteristic, complemented
21#35077C212yesmaximal, complemented
22#35051C211yesmaximal, characteristic, complemented
23#35012C211yesmaximal, characteristic, complemented
24#35003C211yesmaximal, characteristic, complemented
25C2×#2659C211yesmaximal, characteristic, complemented
26#34360C212yesmaximal, complemented
27C2×#2353C211yesmaximal, characteristic, complemented
28C2×#538C2212yes—
29C2×#529C2212yes—
30C2×#525C2212yes—
31C22×C22⋊Q8C2212yes—
32C22×C4×D4C2211yescharacteristic
33#2855C2212yes—
34#2855C2212yes—
35#2854C2212yes—
36#2854C2212yes—
37#2851C2212yes—
38#2850C2212yes—
39#2848C2212yes—
40#2847C2212yes—
41#2847C2212yes—
42#2847C2212yes—
43#2791C2214yescomplemented
44#2790C2214yescomplemented
45#2789C2214yescomplemented
46#2788C2214yescomplemented
47#2787C2214yescomplemented
48#2786C2214yescomplemented
49#2785C2214yescomplemented
50#2784C2214yescomplemented
51#2781C2214yescomplemented
52#2778C2214yes—
53#2775C2214yescomplemented
54#2775C2214yescomplemented
55#2775C2214yescomplemented
56#2770C2214yescomplemented
57#2766C2214yescomplemented
58#2764C2214yescomplemented
59#2759C2214yescomplemented
60#2758C2214yescomplemented
61#2757C2214yescomplemented
62#2756C2214yes—
63#2756C2214yescomplemented
64#2746C2214yescomplemented
65#2745C2214yescomplemented
66#2741C2214yes—
67#2738C2214yescomplemented
68#2737C2214yescomplemented
69#2737C2214yescomplemented
70#2730C2214yes—
71#2721C2214yescomplemented
72#2718C2214yescomplemented
73#2715C2214yescomplemented
74#2703C2214yes—
75#2702C2214yes—
76#2701C2214yescomplemented
77#2700C2214yescomplemented
78#2696C2214yes—
79#2687C2214yescomplemented
80#2686C2214yescomplemented
81#2686C2214yescomplemented
82#2676C2214yes—
83#2659C2211yescharacteristic
84#2659C2211yescharacteristic
85#2659C2212yes—
86#2659C2212yes—
87#2659C2212yes—
88#2659C2211yescharacteristic
89#2659C2214yescomplemented
90#2659C2214yescomplemented
91#2656C2211yescharacteristic
92#2646C2212yes—
93#2639C2212yes—
94#2639C2212yes—
95#2630C2214yes—
96#2630C2214yes—
97#2626C2212yes—
98#2617C2212yes—
99#2612C2214yescomplemented
100#2612C2214yescomplemented
101#2611C2214yescomplemented
102#2610C2214yescomplemented
103#2610C2214yescomplemented
104#2606C2214yescomplemented
105#2605C2214yescomplemented
106#2604C2214yescomplemented
107#2603C2214yescomplemented
108#2599C2214yescomplemented
109#2594C2214yescomplemented
110#2593C2214yescomplemented
111#2591C2214yes—
112#2588C2214yescomplemented
113#2579C2214yes—
114#2579C2214yescomplemented
115#2578C2214yescomplemented
116#2574C2214yescomplemented
117#2574C2214yescomplemented
118#2564C2214yescomplemented
119#2560C2214yescomplemented
120#2556C2214yescomplemented
121#2555C2214yescomplemented
122#2553C2214yescomplemented
123#2543C2214yes—
124#2543C2214yescomplemented
125#2534C2214yes—
126#2531C2214yescomplemented
127#2529C2214yescomplemented
128#2524C2214yescomplemented
129#2522C2214yescomplemented
130#2521C2214yescomplemented
131#2510C2214yes—
132#2510C2214yes—
133#2510C2214yes—
134#2510C2214yescomplemented
135#2504C2212yescomplemented
136#2498C2214yescomplemented
137#2495C2212yescomplemented
138#2494C2212yescomplemented
139#2490C2212yescomplemented
140#2489C2212yescomplemented
141#2488C2214yes—
142#2485C2212yes—
143#2485C2212yes—
144#2481C2214yes—
145#2481C2214yescomplemented
146#2477C2214yescomplemented
147#2474C2214yescomplemented
148#2474C2214yescomplemented
149#2474C2214yescomplemented
150#2473C2214yescomplemented
151#2472C2214yes—
152#2469C2214yescomplemented
153#2465C2214yescomplemented
154#2464C2214yescomplemented
155#2450C2214yes—
156#2450C2214yes—
157#2443C2214yes—
158#2443C2214yes—
159#2443C2214yescomplemented
160#2442C2212yescomplemented
161#2442C2212yescomplemented
162#2436C2214yes—
163#2436C2212yescomplemented
164#2430C2214yescomplemented
165#2427C2212yescomplemented
166#2426C2212yescomplemented
167#2421C2212yescomplemented
168#2420C2212yescomplemented
169#2419C2214yes—
170#2418C2214yes—
171#2417C2212yes—
172#2417C2212yes—
173#2416C2212yes—
174#2416C2212yes—
175#2416C2214yes—
176#2413C2214yescomplemented
177#2412C2214yes—
178#2410C2214yes—
179#2407C2212yes—
180#2407C2212yes—
181C2×#398C2214yescomplemented
182C2×#395C2214yescomplemented
183#2376C2214yescomplemented
184#2376C2214yescomplemented
185#2361C2212yescomplemented
186#2361C2212yescomplemented
187#2358C2214yes—
188#2358C2214yes—
189#2353C2214yes—
190#2353C2214yes—
191#2353C2214yes—
192#2353C2214yes—
193#2353C2214yescomplemented
194#2352C2214yes—
195#2352C2214yescomplemented
196#2352C2214yescomplemented
197D4×C4⋊C4C2214yes—
198D4×C4⋊C4C2214yescomplemented
199#2345C2212yescomplemented
200Q8×C22⋊C4C2212yescomplemented
201#2329C2212yes—
202#2329C2212yes—
203#2329C2212yes—
204#2329C2214yescomplemented
205#2325C2212yes—
206#2325C2214yes—
207#2325C2214yes—
208#2325C2212yes—
209#2325C2212yes—
210#2325C2212yes—
211#2325C2212yes—
212#2325C2214yescomplemented
213#2314C2214yescomplemented
214#2312C2212yes—
215#2311C2214yescomplemented
216C4×C22⋊Q8C2212yes—
217C4×#121C2212yes—
218C2×#388C2211yescharacteristic
219C2×#388C2211yescharacteristic
220C2×#387C2211yescharacteristic
221C2×#387C2211yescharacteristic
222C2×#386C2211yescharacteristic
223C2×#386C2211yescharacteristic
224#2283C2212yes—
225C2×#383C2211yescharacteristic
226C2×#381C2211yescharacteristic
227C2×#380C2212yes—
228C2×#380C2212yes—
229C2×#380C2211yescharacteristic
230C2×C4×C22⋊C4C2211yescharacteristic
231C2×C4×C22⋊C4C2211yescharacteristic
232C2×C4×C22⋊C4C2211yescharacteristic
233C2×#376C2211yescharacteristic
234C22×#95C2211yescharacteristic
235C22×#41C2312yes—
236C23×Q8C2312yes—
237C23×D4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242#538—48no—
243#529—48no—
244C2×#126C2314yes—
245C2×#126C2314yes—
246C2×#125C2312yes—
247C2×#125C2312yes—
248C2×#124C2312yes—
249C2×#124C2314yes—
250C2×#124C2312yes—
251C2×#124C2314yes—
252#525—216no—
253C2×#123C2314yes—
254C2×#123C2314yes—
255C2×#123C2314yes—
256C2×#123C2314yes—
257C2×C22⋊Q8—48no—
258C2×C22⋊Q8C2312yes—
259C2×C22⋊Q8C2312yes—
260C2×C22⋊Q8C2312yes—
261C2×C22⋊Q8C2312yes—
262C2×C22⋊Q8C2314yes—
263C2×C22⋊Q8C2314yes—
264C2×C22⋊Q8C2312yes—
265C2×C22⋊Q8C2312yes—
266C2×C22⋊Q8C2312yes—
267C2×C22⋊Q8C2312yes—
268C2×#121C2312yes—
269C2×#121C2312yes—
270C2×#121C2312yes—
271C2×#121C2312yes—
272C2×#121C2314yes—
273C2×#121C2314yes—
274C2×#121C2312yes—
275C2×#121C2312yes—
276C2×#121C2314yes—
277C2×#121C2312yes—
278C2×#121C2312yes—
279C2×#121C2312yes—
280C2×#121C2312yes—
281C2×#120C2314yes—
282C2×#120C2314yes—
283C2×C4×Q8C2312yes—
284C2×C4×Q8C2312yes—
285C2×C4×D4—28no—
286C2×C4×D4C2314yes—
287C2×C4×D4C2314yes—
288C2×C4×D4C2312yes—
289C2×C4×D4C2312yes—
290C2×C4×D4C2312yes—
291C2×C4×D4C2312yes—
292C2×C4×D4C2314yes—
293C2×C4×D4C2314yes—
294C2×C4×D4C2314yes—
295C2×C4×D4C2314yes—
296C2×C4×D4C2312yes—
297C2×C4×D4C2312yes—
298C2×#117C2312yes—
299C2×#117C2314yes—
300C2×#117C2314yes—
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2312yes—
303C22×C4⋊C4C2314yes—
304C22×C4⋊C4C2312yes—
305C22×C4⋊C4C2314yes—
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2312yes—
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2312yes—
310C22×C4⋊C4C2312yes—
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×C42C2311yescharacteristic
321C22×C42C2311yescharacteristic
322C22×C42C2311yescharacteristic
323C22×C42C2311yescharacteristic
324C22×C42C2311yescharacteristic
325#401C2314yes—
326#401C2314yes—
327#400C2314yes—
328#400C2314yes—
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#398C2314yes—
342#398C2314yes—
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#397C2314yes—
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#396C2314yes—
372#396C2314yes—
373#396C2314yes—
374#396C2314yes—
375#396C2314yes—
376#396C2314yes—
377#396C2314yes—
378#396C2314yes—
379#395C2314yes—
380#395C2314yes—
381#395C2314yes—
382#395C2314yes—
383#395C2314yes—
384#395C2314yes—
385#395C2314yes—
386#395C2314yes—
387#395C2314yes—
388#394C2314yes—
389#394C2314yes—
390#394C2314yes—
391#394C2314yes—
392#394C2314yes—
393#394C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#393C2314yes—
403#393C2314yes—
404#393C2314yes—
405#393C2314yes—
406#393C2314yes—
407#393C2314yes—
408#393C2314yes—
409#392C2314yes—
410#392C2314yes—
411#392C2314yes—
412#392C2314yes—
413#391C2314yes—
414#391C2314yes—
415#391C2314yes—
416#391C2312yes—
417#391C2314yes—
418#391C2314yes—
419#391C2314yes—
420#391C2312yes—
421#391C2312yes—
422#391C2312yes—
423#391C2312yes—
424#391C2312yes—
425#390C2314yes—
426#390C2314yes—
427#390C2314yes—
428#390C2312yes—
429#390C2312yes—
430#390C2312yes—
431#390C2312yes—
432#390C2312yes—
433#390C2312yes—
434#389C2314yes—
435#389C2314yes—
436#389C2314yes—
437#389C2314yes—
438#389C2314yes—
439#389C2312yes—
440#389C2312yes—
441#389C2312yes—
442#389C2312yes—
443#389C2312yes—
444#389C2312yes—
445#389C2312yes—
446#389C2312yes—
447#389C2312yes—
448#389C2312yes—
449#389C2312yes—
450#389C2312yes—
451#388C2314yes—
452#388C2314yes—
453#388C2314yes—
454#388C2314yes—
455#388C2314yes—
456#388C2314yes—
457#388C2314yes—
458#388C2314yes—
459#388C2314yes—
460#388C2314yes—
461#388C2314yes—
462#388C2314yes—
463#388C2314yes—
464#388C2314yes—
465#388C2314yes—
466#388C2314yes—
467#388C2314yes—
468#388C2314yes—
469#388C2314yes—
470#388C2314yes—
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#387C2314yes—
490#387C2314yes—
491#387C2314yes—
492#387C2314yes—
493#387C2314yes—
494#387C2314yes—
495#387C2314yes—
496#387C2314yes—
497#387C2314yes—
498#387C2314yes—
499#387C2314yes—
500#387C2314yes—
501#387C2314yes—
502#387C2314yes—
503#387C2314yes—
504#387C2314yes—
505#387C2314yes—
506#387C2314yes—
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#386C2314yes—
522#386C2314yes—
523#386C2314yes—
524#386C2314yes—
525#386C2314yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2314yes—
530#386C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yes—
534#386C2314yes—
535#386C2314yes—
536#386C2314yes—
537#386C2314yes—
538#386C2314yes—
539#386C2314yes—
540#386C2314yes—
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#385C2314yes—
554#385C2314yes—
555#385C2314yes—
556#385C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#384C2314yes—
574#383C2314yes—
575#383C2314yes—
576#383C2314yes—
577#383C2314yes—
578#383C2314yes—
579#382C2314yes—
580#382C2312yes—
581#382C2312yes—
582#382C2314yes—
583#382C2312yes—
584#382C2312yes—
585#381C2314yes—
586#381C2314yes—
587#381C2314yes—
588#381C2314yes—
589#380C2312yes—
590#380C2312yes—
591#380C2314yes—
592#380C2314yes—
593#380C2314yes—
594#380C2314yes—
595#380C2312yes—
596#380C2312yes—
597#380C2312yes—
598#380C2314yes—
599#380C2314yes—
600#380C2314yes—
601#380C2312yes—
602#380C2312yes—
603#380C2312yes—
604#380C2314yes—
605#380C2314yes—
606#380C2314yes—
607#380C2312yes—
608#380C2312yes—
609#380C2312yes—
610#380C2312yes—
611#380C2312yes—
612#380C2314yes—
613#380C2312yes—
614#380C2312yes—
615#380C2312yes—
616#380C2314yes—
617#380C2312yes—
618#380C2312yes—
619#379C2314yes—
620C4×C4⋊C4C2314yes—
621C4×C4⋊C4C2314yes—
622C4×C4⋊C4C2314yes—
623C4×C4⋊C4C2312yes—
624C4×C4⋊C4C2312yes—
625C4×C4⋊C4C2312yes—
626C4×C4⋊C4C2312yes—
627C4×C22⋊C4C2312yes—
628C4×C22⋊C4C2314yes—
629C4×C22⋊C4C2314yes—
630C4×C22⋊C4C2314yes—
631C4×C22⋊C4C2312yes—
632C4×C22⋊C4C2314yes—
633C4×C22⋊C4C2314yes—
634C4×C22⋊C4C2314yes—
635C4×C22⋊C4C2312yes—
636C4×C22⋊C4C2312yes—
637C4×C22⋊C4C2312yes—
638C4×C22⋊C4C2312yes—
639C4×C22⋊C4C2312yes—
640C4×C22⋊C4C2312yes—
641C4×C22⋊C4C2314yes—
642#376C2314yes—
643#376C2314yes—
644#376C2314yes—
645C2×#95C2314yes—
646C2×#95C2314yes—
647C2×#95C2311yescharacteristic
648C2×#95C2311yescharacteristic
649C2×#95C2311yescharacteristic
650C2×#95C2311yescharacteristic
651C2×#95C2311yescharacteristic
652C2×#95C2311yescharacteristic
653C2×#95C2314yes—
654C2×#95C2314yes—
655C2×#95C2311yescharacteristic
656C2×#95C2311yescharacteristic
657C2×#95C2311yescharacteristic
658C2×#95C2311yescharacteristic
659C2×#95C2311yescharacteristic
660C2×#95C2311yescharacteristic
661C2×#95C2311yescharacteristic
662C2×#95C2311yescharacteristic
663C25C2411yescharacteristic
664C25C2411yescharacteristic
665C2×#41—28no—
666C2×#41—82no—
667C2×#41—82no—
668C22×Q8—44no—
669C22×Q8—44no—
670C22×Q8—82no—
671C22×Q8C2412yes—
672C22×Q8C2412yes—
673C22×Q8C2412yes—
674C22×Q8C2414yes—
675C22×D4—24no—
676C22×D4—42no—
677C22×D4—42no—
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2412yes—
681C22×D4C2412yes—
682C22×D4C2412yes—
683C22×D4C2412yes—
684C22×D4C2414yes—
685C22×D4C2412yes—
686C22×D4C2414yes—
687C22×D4C2414yes—
688C23×C4—24no—
689C23×C4—24no—
690C23×C4—24no—
691C23×C4—42no—
692C23×C4—42no—
693C23×C4—81no—
694C23×C4—81no—
695C23×C4—81no—
696C23×C4—81no—
697C23×C4—81no—
698C23×C4—81no—
699C23×C4#4118yes—
700C23×C4C2411yescharacteristic
701C23×C4C2412yes—
702C23×C4C2412yes—
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2414yes—
708C23×C4C2414yes—
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2414yes—
713C23×C4C2411yescharacteristic
714C23×C4C2412yes—
715C23×C4C2412yes—
716C23×C4C2412yes—
717C23×C4C2412yes—
718C23×C4C2414yes—
719C23×C4C2414yes—
720C23×C4C2411yescharacteristic
721C23×C4C2412yes—
722C23×C4C2412yes—
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726#126—48no—
727#126—48no—
728#125—44no—
729#125—82no—
730#124—44no—
731#124—48no—
732#124—82no—
733#124—84no—
734#123—216no—
735#123—48no—
736#123—48no—
737#123—84no—
738C22⋊Q8—28no—
739C22⋊Q8—28no—
740C22⋊Q8—28no—
741C22⋊Q8—28no—
742C22⋊Q8—48no—
743C22⋊Q8—48no—
744C22⋊Q8—44no—
745C22⋊Q8—44no—
746C22⋊Q8—82no—
747C22⋊Q8—82no—
748#121—28no—
749#121—28no—
750#121—28no—
751#121—28no—
752#121—48no—
753#121—44no—
754#121—44no—
755#121—48no—
756#121—48no—
757#121—82no—
758#121—82no—
759#121—82no—
760#121—82no—
761#120—216no—
762#120—48no—
763C4×Q8—44no—
764C4×Q8—82no—
765C4×D4—28no—
766C4×D4—28no—
767C4×D4—28no—
768C4×D4—28no—
769C4×D4—216no—
770C4×D4—216no—
771C4×D4—44no—
772C4×D4—48no—
773C4×D4—48no—
774C4×D4—48no—
775C4×D4—48no—
776C4×D4—82no—
777#117—28no—
778#117—48no—
779#117—84no—
780C2×C4⋊C4—24no—
781C2×C4⋊C4—48no—
782C2×C4⋊C4—44no—
783C2×C4⋊C4—44no—
784C2×C4⋊C4—81no—
785C2×C4⋊C4—82no—
786C2×C4⋊C4—84no—
787C2×C4⋊C4—81no—
788C2×C4⋊C4—82no—
789C2×C4⋊C4—82no—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2412yes—
792C2×C4⋊C4C2412yes—
793C2×C4⋊C4C2412yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2412yes—
796C2×C4⋊C4C2412yes—
797C2×C4⋊C4C2412yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2412yes—
801C2×C4⋊C4C2412yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2412yes—
807C2×C4⋊C4C2412yes—
808C2×C4⋊C4C2412yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2412yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2412yes—
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2414yes—
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×C4⋊C4C2412yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2414yes—
835C2×C22⋊C4—24no—
836C2×C22⋊C4—24no—
837C2×C22⋊C4—24no—
838C2×C22⋊C4—24no—
839C2×C22⋊C4—42no—
840C2×C22⋊C4—42no—
841C2×C22⋊C4—48no—
842C2×C22⋊C4—81no—
843C2×C22⋊C4—81no—
844C2×C22⋊C4C2411yescharacteristic
845C2×C22⋊C4C2411yescharacteristic
846C2×C22⋊C4C2412yes—
847C2×C22⋊C4C2412yes—
848C2×C22⋊C4C2411yescharacteristic
849C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
868C2×C22⋊C4C2412yes—
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×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C42—24no—
892C2×C42—24no—
893C2×C42—24no—
894C2×C42—81no—
895C2×C42—81no—
896C2×C42C2412yes—
897C2×C42C2414yes—
898C2×C42C2412yes—
899C2×C42C2412yes—
900C2×C42C2412yes—
901C2×C42C2412yes—
902C2×C42C2412yes—
903C2×C42C2414yes—
904C2×C42C2414yes—
905C2×C42C2414yes—
906C2×C42C2414yes—
907C2×C42C2414yes—
908C2×C42C2412yes—
909C2×C42C2414yes—
910C2×C42C2412yes—
911C2×C42C2412yes—
912C2×C42C2412yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2412yes—
922#95C2414yes—
923#95C2412yes—
924#95C2412yes—
925#95C2412yes—
926#95C2412yes—
927#95C2412yes—
928#95C2412yes—
929#95C2412yes—
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—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969C24—22no—
970C24—22no—
971C24—22no—
972C24—22no—
973C24—22no—
974C24—22no—
975C24—22no—
976C24—41no—
977C24—41no—
978C24—41no—
979C24—41no—
980C24—41no—
981C24—41no—
982C24C2×#4114yes—
983C24C2512yes—
984C24C2514yes—
985C24C2511yescharacteristic
986C24C2511yescharacteristic
987C24C2511yescharacteristic
988#41—816no—
989C2×Q8—24no—
990C2×Q8—24no—
991C2×Q8—24no—
992C2×Q8—42no—
993C2×Q8—42no—
994C2×Q8—44no—
995C2×Q8—42no—
996C2×Q8—42no—
997C2×Q8—42no—
998C2×Q8—44no—
999C2×Q8—42no—
1000C2×Q8—44no—
1001C2×Q8—816no—
1002C2×D4—24no—
1003C2×D4—24no—
1004C2×D4—28no—
1005C2×D4—28no—
1006C2×D4—28no—
1007C2×D4—28no—
1008C2×D4—28no—
1009C2×D4—28no—
1010C2×D4—24no—
1011C2×D4—24no—
1012C2×D4—28no—
1013C2×D4—24no—
1014C2×D4—24no—
1015C2×D4—24no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—416no—
1033C22×C4—22no—
1034C22×C4—22no—
1035C22×C4—22no—
1036C22×C4—22no—
1037C22×C4—22no—
1038C22×C4—24no—
1039C22×C4—24no—
1040C22×C4—22no—
1041C22×C4—22no—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—28no—
1047C22×C4—28no—
1048C22×C4—28no—
1049C22×C4—24no—
1050C22×C4—24no—
1051C22×C4—24no—
1052C22×C4—24no—
1053C22×C4—24no—
1054C22×C4—24no—
1055C22×C4—41no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4—41no—
1059C22×C4—42no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4—42no—
1063C22×C4—42no—
1064C22×C4—44no—
1065C22×C4—44no—
1066C22×C4—41no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—42no—
1071C22×C4—42no—
1072C22×C4—42no—
1073C22×C4—41no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—44no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—44no—
1103C22×C4—44no—
1104C22×C4—44no—
1105C22×C4—88no—
1106C22×C4—88no—
1107C22×C4—88no—
1108C22×C4—88no—
1109C22×C4C2×#4114yes—
1110C22×C4C2×#4114yes—
1111C22×C4C2×#4118yes—
1112C22×C4C2×#4118yes—
1113C22×C4H(5,𝔽2)14yes—
1114C22×C42−1+414yes—
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2512yes—
1120C22×C4C2511yescharacteristic
1121C22×C4C2511yescharacteristic
1122C22×C4C2511yescharacteristic
1123C22×C4C2511yescharacteristic
1124C22×C4C2514yes—
1125C22×C4C2514yes—
1126C22×C4C2514yes—
1127C22×C4C2514yes—
1128C22×C4C2512yes—
1129C22×C4C2512yes—
1130C22×C4C2514yes—
1131C22×C4C2514yes—
1132C22×C4C2514yes—
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C22×C4C2512yes—
1136C22×C4C2512yes—
1137C4⋊C4—24no—
1138C4⋊C4—24no—
1139C4⋊C4—24no—
1140C4⋊C4—24no—
1141C4⋊C4—28no—
1142C4⋊C4—28no—
1143C4⋊C4—28no—
1144C4⋊C4—24no—
1145C4⋊C4—28no—
1146C4⋊C4—24no—
1147C4⋊C4—24no—
1148C4⋊C4—24no—
1149C4⋊C4—42no—
1150C4⋊C4—42no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—42no—
1160C4⋊C4—42no—
1161C4⋊C4—42no—
1162C4⋊C4—42no—
1163C4⋊C4—42no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—42no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—42no—
1175C4⋊C4—44no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—42no—
1181C4⋊C4—44no—
1182C22⋊C4—22no—
1183C22⋊C4—22no—
1184C22⋊C4—22no—
1185C22⋊C4—22no—
1186C22⋊C4—28no—
1187C22⋊C4—28no—
1188C22⋊C4—28no—
1189C22⋊C4—28no—
1190C22⋊C4—28no—
1191C22⋊C4—24no—
1192C22⋊C4—24no—
1193C22⋊C4—24no—
1194C22⋊C4—24no—
1195C22⋊C4—28no—
1196C22⋊C4—28no—
1197C22⋊C4—28no—
1198C22⋊C4—28no—
1199C22⋊C4—28no—
1200C22⋊C4—28no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
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—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C42—24no—
1230C42—24no—
1231C42—28no—
1232C42—24no—
1233C42—24no—
1234C42—24no—
1235C42—24no—
1236C42—42no—
1237C42—42no—
1238C42—42no—
1239C42—42no—
1240C42—44no—
1241C42—44no—
1242C42—44no—
1243C42—44no—
1244C42—44no—
1245C42—44no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—28no—
1261C23—28no—
1262C23—22no—
1263C23—24no—
1264C23—22no—
1265C23—24no—
1266C23—22no—
1267C23—24no—
1268C23—24no—
1269C23—24no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—24no—
1275C23—24no—
1276C23—44no—
1277C23—44no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23—44no—
1283C23—44no—
1284C23—82no—
1285C23—82no—
1286C23—82no—
1287C23—82no—
1288C23C22×#4112yes—
1289C23C22×#4112yes—
1290C23C22×#4112yes—
1291C23C2×H(5,𝔽2)12yes—
1292C23C2×2−1+412yes—
1293C23#58512yes—
1294C23#58512yes—
1295C23C2611yescharacteristic
1296Q8—48no—
1297Q8—84no—
1298Q8—84no—
1299Q8—88no—
1300D4—48no—
1301D4—416no—
1302D4—48no—
1303D4—416no—
1304D4—84no—
1305D4—84no—
1306D4—84no—
1307D4—88no—
1308D4—164no—
1309D4—164no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—22no—
1321C2×C4—24no—
1322C2×C4—24no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—24no—
1326C2×C4—22no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—22no—
1330C2×C4—24no—
1331C2×C4—24no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—24no—
1335C2×C4—22no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—24no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—24no—
1345C2×C4—24no—
1346C2×C4—24no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—24no—
1350C2×C4—22no—
1351C2×C4—24no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—24no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—24no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—22no—
1364C2×C4—24no—
1365C2×C4—24no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—24no—
1372C2×C4—44no—
1373C2×C4—44no—
1374C2×C4—48no—
1375C2×C4—48no—
1376C2×C4—44no—
1377C2×C4—44no—
1378C2×C4—48no—
1379C2×C4—48no—
1380C2×C4—416no—
1381C2×C4—44no—
1382C2×C4—44no—
1383C2×C4—44no—
1384C2×C4—84no—
1385C2×C4—84no—
1386C2×C4—84no—
1387C2×C4—84no—
1388C2×C4—88no—
1389C2×C4—82no—
1390C2×C4—82no—
1391C2×C4—82no—
1392C2×C4—82no—
1393C2×C4—82no—
1394C2×C4—82no—
1395C2×C4—88no—
1396C2×C4—88no—
1397C2×C4—164no—
1398C2×C4C22×#4114yes—
1399C2×C4C22×#4114yes—
1400C2×C4C2×H(5,𝔽2)14yes—
1401C2×C4C2×2−1+414yes—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—416no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—42no—
1423C22—44no—
1424C22—44no—
1425C22—42no—
1426C22—44no—
1427C22—42no—
1428C22—44no—
1429C22—42no—
1430C22—44no—
1431C22—42no—
1432C22—44no—
1433C22—42no—
1434C22—44no—
1435C22—42no—
1436C22—88no—
1437C22#349314yes—
1438C22#351114yes—
1439C22C23×#4111yescharacteristic
1440C22C22×H(5,𝔽2)11yescharacteristic
1441C22C22×2−1+411yescharacteristic
1442C22C2×#58511yescharacteristic
1443C22C2×#58511yescharacteristic
1444C22H(7,𝔽2)11yescharacteristic
1445C22H(7,𝔽2)11yescharacteristic
1446C4—24no—
1447C4—24no—
1448C4—24no—
1449C4—24no—
1450C4—42no—
1451C4—44no—
1452C4—41no—
1453C4—41no—
1454C4—44no—
1455C4—41no—
1456C4—41no—
1457C4—44no—
1458C4—42no—
1459C4—44no—
1460C4—44no—
1461C4—42no—
1462C4—44no—
1463C4—42no—
1464C4—42no—
1465C4—44no—
1466C4—42no—
1467C4—42no—
1468C2—24no—
1469C2—24no—
1470C2—42no—
1471C2—84no—
1472C2—82no—
1473C2C2×#349311yescharacteristic
1474C2C2×#351111yescharacteristic
1475C2#6284411yescharacteristic
1476C2#6290011yescharacteristic
1477C2#6290311yescharacteristic
1478C2#6295711yescharacteristic
1479C2#6295811yescharacteristic
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. #51571C2semidirect
2. #51570C2semidirect
3. #51567C2semidirect
4. #51566C2semidirect
5. #43578C2semidirect
6. #43575C2semidirect
7. #43155C2semidirect
8. #43151C2semidirect
9. #39799C2semidirect
10. #39671C2semidirect
11. #37950C2semidirect
12. #37891C2semidirect
13. #37762C2semidirect
14. #37703C2semidirect
15. #36980C2semidirect
16. #36730C2semidirect
17. #36168C2semidirect
18. #36108C2semidirect
19. #35120C2semidirect
20. #35119C2semidirect
21. #35077C2semidirect
22. #35051C2semidirect
23. #35012C2semidirect
24. #35003C2semidirect
25. C2×#2659C2semidirect
26. #34360C2semidirect
27. C2×#2353C2semidirect
43. #2791C22semidirect
44. #2790C22semidirect
45. #2789C22semidirect
46. #2788C22semidirect
47. #2787C22semidirect
48. #2786C22semidirect
49. #2785C22semidirect
50. #2784C22semidirect
51. #2781C22semidirect
53. #2775C22semidirect
54. #2775C22semidirect
55. #2775C22semidirect
56. #2770C22semidirect
57. #2766C22semidirect
58. #2764C22semidirect
59. #2759C22semidirect
60. #2758C22semidirect
61. #2757C22semidirect
63. #2756C22semidirect
64. #2746C22semidirect
65. #2745C22semidirect
67. #2738C22semidirect
68. #2737C22semidirect
69. #2737C22semidirect
71. #2721C22semidirect
72. #2718C22semidirect
73. #2715C22semidirect
76. #2701C22semidirect
77. #2700C22semidirect
79. #2687C22semidirect
80. #2686C22semidirect
81. #2686C22semidirect
89. #2659C22semidirect
90. #2659C22semidirect
99. #2612C22semidirect
100. #2612C22semidirect
101. #2611C22semidirect
102. #2610C22semidirect
103. #2610C22semidirect
104. #2606C22semidirect
105. #2605C22semidirect
106. #2604C22semidirect
107. #2603C22semidirect
108. #2599C22semidirect
109. #2594C22semidirect
110. #2593C22semidirect
112. #2588C22semidirect
114. #2579C22semidirect
115. #2578C22semidirect
116. #2574C22semidirect
117. #2574C22semidirect
118. #2564C22semidirect
119. #2560C22semidirect
120. #2556C22semidirect
121. #2555C22semidirect
122. #2553C22semidirect
124. #2543C22semidirect
126. #2531C22semidirect
127. #2529C22semidirect
128. #2524C22semidirect
129. #2522C22semidirect
130. #2521C22semidirect
134. #2510C22semidirect
135. #2504C22semidirect
136. #2498C22semidirect
137. #2495C22semidirect
138. #2494C22semidirect
139. #2490C22semidirect
140. #2489C22semidirect
145. #2481C22semidirect
146. #2477C22semidirect
147. #2474C22semidirect
148. #2474C22semidirect
149. #2474C22semidirect
150. #2473C22semidirect
152. #2469C22semidirect
153. #2465C22semidirect
154. #2464C22semidirect
159. #2443C22semidirect
160. #2442C22semidirect
161. #2442C22semidirect
163. #2436C22semidirect
164. #2430C22semidirect
165. #2427C22semidirect
166. #2426C22semidirect
167. #2421C22semidirect
168. #2420C22semidirect
176. #2413C22semidirect
181. C2×#398C22semidirect
182. C2×#395C22semidirect
183. #2376C22semidirect
184. #2376C22semidirect
185. #2361C22semidirect
186. #2361C22semidirect
193. #2353C22semidirect
195. #2352C22semidirect
196. #2352C22semidirect
198. D4×C4⋊C4C22semidirect
199. #2345C22semidirect
200. Q8×C22⋊C4C22semidirect
204. #2329C22semidirect
212. #2325C22semidirect
213. #2314C22semidirect
215. #2311C22semidirect

Maximal subgroups

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

subgroupindex
#515712
#515702
#515672
#515662
#435782
#435752
#431552
#431512
#397992
#396712
#379502
#378912
#377622
#377032
#369802
#367302
#361682
#361082
#351202
#351192
#350772
#350512
#350122
#350032
C2×#26592
#343602
C2×#23532