Finite Group Databasebeta

← #7715858

Subgroups — #7715858

Order 512.

5054 conjugacy classes of subgroups.

The subgroup lattice has 1545 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#50592C214yesmaximal, complemented
2#50528C214yesmaximal, complemented
3#49478C214yesmaximal, complemented
4#49382C214yesmaximal, complemented
5#45406C212yesmaximal, complemented
6#45386C212yesmaximal, complemented
7#45339C212yesmaximal, complemented
8#45314C212yesmaximal, complemented
9#45313C212yesmaximal, complemented
10#45310C212yesmaximal, complemented
11#45285C212yesmaximal, complemented
12#45259C212yesmaximal, complemented
13#39384C211yesmaximal, characteristic, complemented
14#39380C212yesmaximal, complemented
15#39376C211yesmaximal, characteristic, complemented
16#39371C212yesmaximal, complemented
17#39276C214yesmaximal, complemented
18#39133C212yesmaximal, complemented
19#36987C214yesmaximal, complemented
20#36577C211yesmaximal, characteristic, complemented
21#36576C211yesmaximal, characteristic, complemented
22#36438C212yesmaximal, complemented
23#35229C212yesmaximal, complemented
24#35021C212yesmaximal, complemented
25#35006C212yesmaximal, complemented
26#35005C211yesmaximal, characteristic, complemented
27#34570C211yesmaximal, characteristic, complemented
28#34472C212yesmaximal, complemented
29C2×#2362C211yesmaximal, characteristic, complemented
30C2×#557C2211yescharacteristic, complemented
31C2×#553C2212yes—
32C2×#550C2211yescharacteristic, complemented
33C2×#548C2212yes—
34C2×#539C2212yes—
35C2×#539C2212yes—
36C2×#538C2212yes—
37C22×C22⋊Q8C2211yescharacteristic
38C22×C4×Q8C2211yescharacteristic
39C22×#117C2211yescharacteristic
40#2857C2211yescharacteristic
41#2857C2212yes—
42#2856C2211yescharacteristic
43#2856C2212yes—
44#2854C2214yes—
45#2853C2214yes—
46#2852C2214yes—
47#2847C2212yes—
48#2803C2214yes—
49#2803C2214yes—
50#2800C2214yes—
51#2800C2214yes—
52#2779C2214yescomplemented
53#2777C2214yes—
54#2773C2214yes—
55#2772C2214yescomplemented
56#2766C2214yescomplemented
57#2761C2214yes—
58#2761C2214yescomplemented
59#2757C2214yescomplemented
60#2756C2214yes—
61#2753C2214yes—
62#2753C2214yes—
63#2747C2214yescomplemented
64#2741C2214yes—
65#2740C2214yes—
66#2732C2214yes—
67#2732C2214yes—
68#2732C2212yescomplemented
69#2730C2214yes—
70#2730C2214yes—
71#2730C2214yes—
72#2727C2212yescomplemented
73#2726C2212yescomplemented
74#2725C2214yes—
75#2725C2214yescomplemented
76#2724C2212yescomplemented
77#2721C2214yes—
78#2718C2214yes—
79#2711C2214yes—
80#2707C2214yes—
81#2705C2214yes—
82#2703C2214yes—
83#2701C2214yes—
84#2699C2214yes—
85#2694C2214yescomplemented
86#2691C2214yescomplemented
87#2689C2214yescomplemented
88#2674C2214yes—
89#2673C2214yes—
90#2654C2214yescomplemented
91#2653C2212yes—
92#2652C2212yes—
93#2651C2214yescomplemented
94#2649C2212yes—
95#2648C2212yes—
96#2646C2211yescharacteristic
97#2643C2212yes—
98#2639C2211yescharacteristic
99#2639C2212yes—
100#2627C2212yes—
101#2626C2211yescharacteristic
102#2622C2212yes—
103#2618C2214yes—
104#2618C2212yes—
105#2617C2211yescharacteristic
106#2617C2212yes—
107#2608C2214yescomplemented
108#2601C2214yes—
109#2598C2214yes—
110#2597C2214yescomplemented
111#2593C2214yescomplemented
112#2587C2214yescomplemented
113#2585C2214yescomplemented
114#2585C2214yescomplemented
115#2582C2211yescharacteristic, complemented
116#2582C2212yescomplemented
117#2576C2214yescomplemented
118#2574C2214yescomplemented
119#2573C2214yescomplemented
120#2569C2214yescomplemented
121#2568C2211yescharacteristic, complemented
122#2568C2212yescomplemented
123#2560C2214yescomplemented
124#2560C2214yescomplemented
125#2559C2214yes—
126#2558C2214yescomplemented
127#2558C2214yescomplemented
128#2557C2214yes—
129#2554C2214yes—
130#2554C2214yes—
131#2552C2212yescomplemented
132#2548C2212yescomplemented
133#2548C2211yescharacteristic, complemented
134#2539C2214yes—
135#2538C2212yes—
136#2538C2212yes—
137#2538C2212yescomplemented
138#2538C2212yescomplemented
139#2538C2211yescharacteristic, complemented
140#2534C2214yes—
141#2525C2214yescomplemented
142#2524C2214yescomplemented
143#2522C2214yescomplemented
144#2521C2214yes—
145#2519C2214yes—
146#2516C2214yescomplemented
147#2513C2212yescomplemented
148#2512C2214yescomplemented
149#2512C2212yescomplemented
150#2507C2212yescomplemented
151#2506C2214yescomplemented
152#2506C2212yescomplemented
153#2501C2212yes—
154#2500C2212yes—
155#2497C2212yescomplemented
156#2496C2212yes—
157#2496C2212yescomplemented
158#2491C2212yes—
159#2490C2214yes—
160#2490C2212yescomplemented
161#2488C2214yes—
162#2486C2212yes—
163#2486C2212yescomplemented
164#2485C2212yes—
165#2476C2214yes—
166#2470C2214yes—
167#2469C2214yescomplemented
168#2468C2214yescomplemented
169#2460C2214yescomplemented
170#2453C2212yescomplemented
171#2453C2214yescomplemented
172#2452C2214yescomplemented
173#2445C2214yescomplemented
174#2445C2212yescomplemented
175#2444C2214yescomplemented
176#2442C2212yes—
177#2442C2214yes—
178#2441C2212yes—
179#2440C2212yescomplemented
180#2428C2212yes—
181#2426C2214yes—
182#2426C2212yes—
183#2426C2212yes—
184#2426C2212yescomplemented
185#2426C2214yescomplemented
186#2425C2214yes—
187#2425C2214yes—
188#2425C2214yes—
189#2424C2214yes—
190#2423C2212yes—
191#2423C2212yes—
192#2422C2212yes—
193#2419C2214yes—
194#2419C2214yes—
195#2418C2214yes—
196#2416C2212yes—
197#2416C2214yes—
198#2414C2212yes—
199#2407C2212yes—
200#2407C2212yes—
201#2401C2212yes—
202#2398C2212yes—
203#2395C2212yes—
204#2392C2212yes—
205#2379C2214yescomplemented
206#2378C2214yescomplemented
207#2367C2212yescomplemented
208#2364C2214yes—
209#2363C2212yes—
210#2362C2212yes—
211#2362C2212yes—
212#2362C2214yes—
213#2362C2212yes—
214#2362C2214yes—
215#2362C2212yes—
216#2361C2212yes—
217#2360C2212yescomplemented
218#2355C2212yescomplemented
219#2352C2212yes—
220#2351C2212yescomplemented
221Q8×C4⋊C4C2211yescharacteristic, complemented
222Q8×C4⋊C4C2211yescharacteristic, complemented
223#2349C2214yes—
224D4×C4⋊C4C2212yes—
225#2347C2212yes—
226#2341C2212yescomplemented
227Q8×C22⋊C4C2212yes—
228#2339C2212yescomplemented
229#2337C2214yescomplemented
230#2330C2212yescomplemented
231#2329C2214yescomplemented
232#2326C2212yescomplemented
233#2325C2212yes—
234#2325C2214yes—
235#2324C2212yescomplemented
236#2323C2212yescomplemented
237#2322C2214yes—
238#2320C2212yescomplemented
239#2319C2212yescomplemented
240#2318C2214yes—
241#2314C2212yescomplemented
242#2311C2212yescomplemented
243C4×C22⋊Q8C2211yescharacteristic
244C4×C22⋊Q8C2212yes—
245C4×#121C2211yescharacteristic
246C4×#121C2214yes—
247C4×#121C2212yes—
248C4×#121C2212yes—
249C4×#120C2212yes—
250C2×#391C2211yescharacteristic
251C2×#389C2211yescharacteristic
252#2290C2212yes—
253C2×#388C2212yes—
254C2×#388C2212yes—
255C2×#387C2212yes—
256C2×C4×C4⋊C4C2211yescharacteristic
257C2×C4×C4⋊C4C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2312yes—
260C23×Q8C2311yescharacteristic
261C24×C4C2311yescharacteristic
262#557—44no—
263#553—48no—
264#550—44no—
265#548—216no—
266#539—48no—
267#539—48no—
268#538—48no—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2311yescharacteristic
271C2×#127C2312yes—
272C2×#127C2311yescharacteristic
273C2×#126C2314yes—
274C2×#126C2314yes—
275C2×#126C2314yes—
276C2×#126C2314yes—
277C2×#125C2312yes—
278C2×#125C2314yes—
279C2×#125C2314yes—
280C2×#125C2314yes—
281C2×#124C2312yes—
282C2×#124C2314yes—
283C2×#124C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×C22⋊Q8—28no—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2311yescharacteristic
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×#121C2312yes—
302C2×#121C2314yes—
303C2×#121C2312yes—
304C2×#121C2311yescharacteristic
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#120C2314yes—
314C2×#120C2312yes—
315C2×C4×Q8—44no—
316C2×C4×Q8C2312yes—
317C2×C4×Q8C2311yescharacteristic
318C2×C4×Q8C2311yescharacteristic
319C2×C4×Q8C2311yescharacteristic
320C2×C4×Q8C2312yes—
321C2×C4×Q8C2312yes—
322C2×C4×Q8C2312yes—
323C2×C4×Q8C2311yescharacteristic
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2312yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2314yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×#117—44no—
340C2×#117C2312yes—
341C2×#117C2312yes—
342C2×#117C2314yes—
343C2×#117C2312yes—
344C22×C4⋊C4C2312yes—
345C22×C4⋊C4C2312yes—
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2312yes—
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2312yes—
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2312yes—
355C22×C42C2312yes—
356C22×C42C2312yes—
357C22×C42C2311yescharacteristic
358C22×C42C2312yes—
359C22×C42C2311yescharacteristic
360#401C2312yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2312yes—
365#400C2314yes—
366#400C2312yes—
367#400C2314yes—
368#400C2312yes—
369#400C2314yes—
370#400C2312yes—
371#400C2312yes—
372#400C2312yes—
373#400C2314yes—
374#399C2314yes—
375#399C2312yes—
376#399C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2312yes—
384#398C2314yes—
385#398C2314yes—
386#398C2312yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#397C2312yes—
396#397C2314yes—
397#397C2314yes—
398#397C2312yes—
399#397C2314yes—
400#397C2312yes—
401#397C2314yes—
402#397C2312yes—
403#397C2312yes—
404#397C2312yes—
405#397C2312yes—
406#397C2312yes—
407#397C2312yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2312yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2312yes—
427#396C2312yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#395C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2312yes—
440#394C2312yes—
441#394C2314yes—
442#394C2314yes—
443#394C2312yes—
444#394C2312yes—
445#394C2312yes—
446#394C2312yes—
447#394C2312yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#393C2312yes—
457#393C2314yes—
458#393C2312yes—
459#392C2314yes—
460#392C2312yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#390C2314yes—
477#390C2312yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2314yes—
482#390C2312yes—
483#390C2312yes—
484#390C2314yes—
485#390C2312yes—
486#390C2314yes—
487#390C2314yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2314yes—
493#390C2311yescharacteristic
494#390C2314yes—
495#390C2314yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2312yes—
508#389C2311yescharacteristic
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2312yes—
617#386C2314yes—
618#386C2314yes—
619#386C2312yes—
620#386C2312yes—
621#386C2312yes—
622#386C2312yes—
623#386C2314yes—
624#386C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2312yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2312yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2312yes—
642#385C2312yes—
643#385C2312yes—
644#384C2312yes—
645#384C2312yes—
646#384C2311yescharacteristic
647#384C2312yes—
648#384C2312yes—
649#384C2312yes—
650#384C2311yescharacteristic
651#383C2314yes—
652#383C2314yes—
653#382C2312yes—
654#382C2314yes—
655#382C2314yes—
656#382C2314yes—
657#381C2314yes—
658#381C2314yes—
659#381C2314yes—
660#381C2314yes—
661#380C2314yes—
662#380C2314yes—
663#380C2314yes—
664#380C2314yes—
665#380C2314yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2314yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2314yes—
676#380C2311yescharacteristic
677#380C2311yescharacteristic
678#379C2312yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2311yescharacteristic
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714#376C2312yes—
715C2×#95C2314yes—
716C2×#95C2312yes—
717C2×#95C2311yescharacteristic
718C2×#95C2312yes—
719C2×#95C2311yescharacteristic
720C2×#95C2312yes—
721C2×#95C2312yes—
722C25C2411yescharacteristic
723C2×#41—28no—
724C2×#41—44no—
725C2×#41—44no—
726C22×Q8—42no—
727C22×Q8—42no—
728C22×Q8#4118yes—
729C22×Q8C2411yescharacteristic
730C22×Q8C2411yescharacteristic
731C22×Q8C2411yescharacteristic
732C22×Q8C2412yes—
733C22×Q8C2412yes—
734C22×D4C2414yes—
735C22×D4C2412yes—
736C22×D4C2412yes—
737C22×D4C2414yes—
738C22×D4C2412yes—
739C22×D4C2411yescharacteristic
740C22×D4C2414yes—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2412yes—
746C23×C4—24no—
747C23×C4—42no—
748C23×C4—42no—
749C23×C4C2412yes—
750C23×C4C2412yes—
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2411yescharacteristic
754C23×C4C2412yes—
755C23×C4C2411yescharacteristic
756C23×C4C2411yescharacteristic
757C23×C4C2411yescharacteristic
758C23×C4C2411yescharacteristic
759C23×C4C2412yes—
760C23×C4C2414yes—
761C23×C4C2414yes—
762C23×C4C2414yes—
763C23×C4C2414yes—
764C23×C4C2412yes—
765C23×C4C2411yescharacteristic
766C4⋊Q8—42no—
767C4⋊Q8—44no—
768#127—42no—
769#127—44no—
770#126—48no—
771#126—48no—
772#126—48no—
773#126—48no—
774#125—28no—
775#125—48no—
776#125—48no—
777#125—48no—
778#124—28no—
779#124—216no—
780#124—48no—
781#123—48no—
782#123—48no—
783#123—48no—
784#123—48no—
785#123—48no—
786#123—48no—
787#123—48no—
788C22⋊Q8—28no—
789C22⋊Q8—28no—
790C22⋊Q8—216no—
791C22⋊Q8—28no—
792C22⋊Q8—216no—
793C22⋊Q8—28no—
794C22⋊Q8—24no—
795C22⋊Q8—48no—
796C22⋊Q8—48no—
797#121—28no—
798#121—216no—
799#121—28no—
800#121—24no—
801#121—28no—
802#121—48no—
803#121—48no—
804#121—48no—
805#121—44no—
806#121—44no—
807#121—48no—
808#121—44no—
809#120—44no—
810#120—48no—
811C4×Q8—28no—
812C4×Q8—24no—
813C4×Q8—24no—
814C4×Q8—42no—
815C4×Q8—44no—
816C4×Q8—44no—
817C4×Q8—44no—
818C4×Q8—42no—
819C4×Q8—42no—
820C4×Q8—44no—
821C4×Q8—44no—
822C4×D4—28no—
823C4×D4—216no—
824C4×D4—44no—
825C4×D4—44no—
826C4×D4—48no—
827C4×D4—44no—
828C4×D4—44no—
829C4×D4—42no—
830C4×D4—44no—
831C4×D4—48no—
832C4×D4—48no—
833C4×D4—48no—
834#117—28no—
835#117—44no—
836#117—48no—
837#117—44no—
838C2×C4⋊C4—24no—
839C2×C4⋊C4—28no—
840C2×C4⋊C4—28no—
841C2×C4⋊C4—24no—
842C2×C4⋊C4—42no—
843C2×C4⋊C4—44no—
844C2×C4⋊C4—44no—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C22⋊C4—28no—
906C2×C22⋊C4—24no—
907C2×C22⋊C4—44no—
908C2×C22⋊C4—42no—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C42—44no—
965C2×C42—42no—
966C2×C42—44no—
967C2×C42—42no—
968C2×C42—44no—
969C2×C42C2414yes—
970C2×C42C2412yes—
971C2×C42C2412yes—
972C2×C42C2412yes—
973C2×C42C2411yescharacteristic
974C2×C42C2412yes—
975C2×C42C2412yes—
976C2×C42C2414yes—
977C2×C42C2411yescharacteristic
978C2×C42C2412yes—
979C2×C42C2414yes—
980C2×C42C2414yes—
981C2×C42C2414yes—
982C2×C42C2414yes—
983C2×C42C2414yes—
984C2×C42C2412yes—
985C2×C42C2411yescharacteristic
986C2×C42C2411yescharacteristic
987C2×C42C2412yes—
988C2×C42C2414yes—
989C2×C42C2412yes—
990C2×C42C2414yes—
991C2×C42C2414yes—
992#95C2412yes—
993#95C2414yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2414yes—
998#95C2412yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2412yes—
1024#95C2414yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048C24—22no—
1049C24—22no—
1050C24—22no—
1051C24—41no—
1052C24—41no—
1053C24—41no—
1054C24—41no—
1055C24C2512yes—
1056C24C2512yes—
1057C24C2514yes—
1058C24C2511yescharacteristic
1059#41—816no—
1060C2×Q8—22no—
1061C2×Q8—22no—
1062C2×Q8—22no—
1063C2×Q8—24no—
1064C2×Q8—22no—
1065C2×Q8—22no—
1066C2×Q8—42no—
1067C2×Q8—42no—
1068C2×Q8—41no—
1069C2×Q8—42no—
1070C2×Q8—41no—
1071C2×Q8—42no—
1072C2×Q8—416no—
1073C2×Q8C2×#4114yes—
1074C2×Q8C2×#4114yes—
1075C2×Q8C2×#4118yes—
1076C2×D4—28no—
1077C2×D4—24no—
1078C2×D4—28no—
1079C2×D4—24no—
1080C2×D4—24no—
1081C2×D4—28no—
1082C2×D4—24no—
1083C2×D4—28no—
1084C2×D4—24no—
1085C2×D4—28no—
1086C2×D4—24no—
1087C2×D4—22no—
1088C2×D4—24no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—41no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—42no—
1099C2×D4—41no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—42no—
1107C2×D4—44no—
1108C2×D4—42no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—42no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—24no—
1115C22×C4—22no—
1116C22×C4—24no—
1117C22×C4—22no—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—22no—
1121C22×C4—24no—
1122C22×C4—22no—
1123C22×C4—24no—
1124C22×C4—24no—
1125C22×C4—24no—
1126C22×C4—24no—
1127C22×C4—24no—
1128C22×C4—24no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—28no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—42no—
1135C22×C4—41no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—41no—
1139C22×C4—42no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—42no—
1143C22×C4—42no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—44no—
1147C22×C4—41no—
1148C22×C4—42no—
1149C22×C4—41no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—416no—
1161C22×C4C2×#4114yes—
1162C22×C4C2×#4118yes—
1163C22×C4H(5,𝔽2)14yes—
1164C22×C4C2512yes—
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2511yescharacteristic
1169C22×C4C2512yes—
1170C22×C4C2514yes—
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2514yes—
1174C22×C4C2512yes—
1175C22×C4C2511yescharacteristic
1176C22×C4C2514yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2514yes—
1180C22×C4C2512yes—
1181C22×C4C2514yes—
1182C22×C4C2512yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C4⋊C4—24no—
1190C4⋊C4—24no—
1191C4⋊C4—28no—
1192C4⋊C4—28no—
1193C4⋊C4—28no—
1194C4⋊C4—24no—
1195C4⋊C4—28no—
1196C4⋊C4—24no—
1197C4⋊C4—24no—
1198C4⋊C4—22no—
1199C4⋊C4—28no—
1200C4⋊C4—28no—
1201C4⋊C4—24no—
1202C4⋊C4—24no—
1203C4⋊C4—24no—
1204C4⋊C4—24no—
1205C4⋊C4—28no—
1206C4⋊C4—28no—
1207C4⋊C4—22no—
1208C4⋊C4—24no—
1209C4⋊C4—28no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—22no—
1213C4⋊C4—24no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—42no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—44no—
1224C4⋊C4—42no—
1225C4⋊C4—42no—
1226C4⋊C4—44no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—41no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—42no—
1235C4⋊C4—44no—
1236C4⋊C4—41no—
1237C4⋊C4—42no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—42no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—42no—
1248C4⋊C4H(5,𝔽2)14yes—
1249C22⋊C4—24no—
1250C22⋊C4—28no—
1251C22⋊C4—24no—
1252C22⋊C4—24no—
1253C22⋊C4—28no—
1254C22⋊C4—28no—
1255C22⋊C4—28no—
1256C22⋊C4—24no—
1257C22⋊C4—28no—
1258C22⋊C4—28no—
1259C22⋊C4—28no—
1260C22⋊C4—24no—
1261C22⋊C4—24no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—24no—
1265C22⋊C4—28no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—44no—
1269C22⋊C4—42no—
1270C22⋊C4—44no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—44no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—42no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C42—28no—
1305C42—24no—
1306C42—28no—
1307C42—24no—
1308C42—22no—
1309C42—24no—
1310C42—22no—
1311C42—24no—
1312C42—24no—
1313C42—24no—
1314C42—44no—
1315C42—42no—
1316C42—44no—
1317C42—44no—
1318C42—42no—
1319C42—41no—
1320C42—42no—
1321C42—41no—
1322C42—44no—
1323C42—44no—
1324C42—44no—
1325C42—44no—
1326C42—44no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—22no—
1332C23—22no—
1333C23—24no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—24no—
1338C23—24no—
1339C23—22no—
1340C23—24no—
1341C23—22no—
1342C23—22no—
1343C23—24no—
1344C23—22no—
1345C23—22no—
1346C23—24no—
1347C23—22no—
1348C23—22no—
1349C23—24no—
1350C23—22no—
1351C23—22no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—82no—
1356C23—82no—
1357C23—82no—
1358C23—82no—
1359C23C22×#4112yes—
1360C23C2×H(5,𝔽2)12yes—
1361C23#58512yes—
1362C23C2611yescharacteristic
1363Q8—28no—
1364Q8—28no—
1365Q8—48no—
1366Q8—82no—
1367Q8—84no—
1368D4—416no—
1369D4—48no—
1370D4—48no—
1371D4—82no—
1372D4—84no—
1373D4—88no—
1374D4—88no—
1375D4—84no—
1376D4—84no—
1377D4—164no—
1378D4—162no—
1379D4—164no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—21no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—21no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—28no—
1393C2×C4—22no—
1394C2×C4—24no—
1395C2×C4—22no—
1396C2×C4—24no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—24no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—24no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—24no—
1412C2×C4—24no—
1413C2×C4—24no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—24no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—21no—
1447C2×C4—48no—
1448C2×C4—44no—
1449C2×C4—48no—
1450C2×C4—48no—
1451C2×C4—44no—
1452C2×C4—44no—
1453C2×C4—48no—
1454C2×C4—48no—
1455C2×C4—48no—
1456C2×C4—88no—
1457C2×C4—84no—
1458C2×C4—82no—
1459C2×C4—82no—
1460C2×C4—164no—
1461C2×C4—164no—
1462C2×C4—164no—
1463C2×C4C22×#4114yes—
1464C2×C4C22×#4114yes—
1465C2×C4C22×#4112yes—
1466C2×C4C22×#4112yes—
1467C2×C4C2×H(5,𝔽2)14yes—
1468C2×C4C2×H(5,𝔽2)12yes—
1469C2×C4C2×H(5,𝔽2)12yes—
1470C2×C4C2×H(5,𝔽2)12yes—
1471C2×C4#58512yes—
1472C22—22no—
1473C22—22no—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—42no—
1479C22—42no—
1480C22—44no—
1481C22—42no—
1482C22—44no—
1483C22—42no—
1484C22—44no—
1485C22—42no—
1486C22—42no—
1487C22—42no—
1488C22—44no—
1489C22—42no—
1490C22—42no—
1491C22—44no—
1492C22—42no—
1493C22—42no—
1494C22—42no—
1495C22—44no—
1496C22—44no—
1497C22—42no—
1498C22—42no—
1499C22—88no—
1500C22#351714yes—
1501C22C23×#4111yescharacteristic
1502C22C22×H(5,𝔽2)11yescharacteristic
1503C22C22×H(5,𝔽2)11yescharacteristic
1504C22C2×#58511yescharacteristic
1505C22C2×#58511yescharacteristic
1506C222−1+611yescharacteristic
1507C222−1+611yescharacteristic
1508C4—22no—
1509C4—24no—
1510C4—24no—
1511C4—22no—
1512C4—22no—
1513C4—24no—
1514C4—42no—
1515C4—42no—
1516C4—44no—
1517C4—44no—
1518C4—42no—
1519C4—42no—
1520C4—44no—
1521C4—42no—
1522C4—44no—
1523C4—42no—
1524C4—41no—
1525C4—41no—
1526C4—42no—
1527C4—42no—
1528C4—42no—
1529C4—42no—
1530C4—42no—
1531C4—44no—
1532C4#350514yes—
1533C2—24no—
1534C2—82no—
1535C2—84no—
1536C2—82no—
1537C2C2×#350511yescharacteristic
1538C2C2×#351711yescharacteristic
1539C2#6285011yescharacteristic
1540C2#6289511yescharacteristic
1541C2#6289811yescharacteristic
1542C2#6290711yescharacteristic
1543C2#6293111yescharacteristic
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. #50592C2semidirect
2. #50528C2semidirect
3. #49478C2semidirect
4. #49382C2semidirect
5. #45406C2semidirect
6. #45386C2semidirect
7. #45339C2semidirect
8. #45314C2semidirect
9. #45313C2semidirect
10. #45310C2semidirect
11. #45285C2semidirect
12. #45259C2semidirect
13. #39384C2semidirect
14. #39380C2semidirect
15. #39376C2semidirect
16. #39371C2semidirect
17. #39276C2semidirect
18. #39133C2semidirect
19. #36987C2semidirect
20. #36577C2semidirect
21. #36576C2semidirect
22. #36438C2semidirect
23. #35229C2semidirect
24. #35021C2semidirect
25. #35006C2semidirect
26. #35005C2semidirect
27. #34570C2semidirect
28. #34472C2semidirect
29. C2×#2362C2semidirect
30. C2×#557C22semidirect
32. C2×#550C22semidirect
52. #2779C22semidirect
55. #2772C22semidirect
56. #2766C22semidirect
58. #2761C22semidirect
59. #2757C22semidirect
63. #2747C22semidirect
68. #2732C22semidirect
72. #2727C22semidirect
73. #2726C22semidirect
75. #2725C22semidirect
76. #2724C22semidirect
85. #2694C22semidirect
86. #2691C22semidirect
87. #2689C22semidirect
90. #2654C22semidirect
93. #2651C22semidirect
107. #2608C22semidirect
110. #2597C22semidirect
111. #2593C22semidirect
112. #2587C22semidirect
113. #2585C22semidirect
114. #2585C22semidirect
115. #2582C22semidirect
116. #2582C22semidirect
117. #2576C22semidirect
118. #2574C22semidirect
119. #2573C22semidirect
120. #2569C22semidirect
121. #2568C22semidirect
122. #2568C22semidirect
123. #2560C22semidirect
124. #2560C22semidirect
126. #2558C22semidirect
127. #2558C22semidirect
131. #2552C22semidirect
132. #2548C22semidirect
133. #2548C22semidirect
137. #2538C22semidirect
138. #2538C22semidirect
139. #2538C22semidirect
141. #2525C22semidirect
142. #2524C22semidirect
143. #2522C22semidirect
146. #2516C22semidirect
147. #2513C22semidirect
148. #2512C22semidirect
149. #2512C22semidirect
150. #2507C22semidirect
151. #2506C22semidirect
152. #2506C22semidirect
155. #2497C22semidirect
157. #2496C22semidirect
160. #2490C22semidirect
163. #2486C22semidirect
167. #2469C22semidirect
168. #2468C22semidirect
169. #2460C22semidirect
170. #2453C22semidirect
171. #2453C22semidirect
172. #2452C22semidirect
173. #2445C22semidirect
174. #2445C22semidirect
175. #2444C22semidirect
179. #2440C22semidirect
184. #2426C22semidirect
185. #2426C22semidirect
205. #2379C22semidirect
206. #2378C22semidirect
207. #2367C22semidirect
217. #2360C22semidirect
218. #2355C22semidirect
220. #2351C22semidirect
221. Q8×C4⋊C4C22semidirect
222. Q8×C4⋊C4C22semidirect
226. #2341C22semidirect
228. #2339C22semidirect
229. #2337C22semidirect
230. #2330C22semidirect
231. #2329C22semidirect
232. #2326C22semidirect
235. #2324C22semidirect
236. #2323C22semidirect
238. #2320C22semidirect
239. #2319C22semidirect
241. #2314C22semidirect
242. #2311C22semidirect

Maximal subgroups

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

subgroupindex
#505922
#505282
#494782
#493822
#454062
#453862
#453392
#453142
#453132
#453102
#452852
#452592
#393842
#393802
#393762
#393712
#392762
#391332
#369872
#365772
#365762
#364382
#352292
#350212
#350062
#350052
#345702
#344722
C2×#23622