Finite Group Databasebeta

← #8346328

Subgroups — #8346328

Order 512.

5490 conjugacy classes of subgroups.

The subgroup lattice has 1579 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59654C212yesmaximal, complemented
2#59021C212yesmaximal, complemented
3#59015C212yesmaximal, complemented
4#58987C212yesmaximal, complemented
5#58259C212yesmaximal, complemented
6#57624C214yesmaximal, complemented
7#57290C214yesmaximal, complemented
8#54930C214yesmaximal, complemented
9#53016C212yesmaximal, complemented
10#52673C212yesmaximal, complemented
11#52245C211yesmaximal, characteristic, complemented
12#50064C214yesmaximal, complemented
13#47843C214yesmaximal, complemented
14#46112C212yesmaximal, complemented
15#45422C212yesmaximal, complemented
16#45106C212yesmaximal, complemented
17#42975C211yesmaximal, characteristic, complemented
18#42490C211yesmaximal, characteristic, complemented
19#42477C212yesmaximal, complemented
20#42445C212yesmaximal, complemented
21#40493C214yesmaximal, complemented
22#40154C212yesmaximal, complemented
23#39416C212yesmaximal, complemented
24#39404C212yesmaximal, complemented
25#38965C212yesmaximal, complemented
26#37477C211yesmaximal, characteristic, complemented
27#35739C211yesmaximal, characteristic, complemented
28#35701C211yesmaximal, characteristic, complemented
29#35563C211yesmaximal, characteristic, complemented
30C2×#554C2211yescharacteristic, complemented
31C2×#553C2212yescomplemented
32C2×D4×Q8C2211yescharacteristic, complemented
33C2×#548C2214yescomplemented
34C2×#547C2212yes—
35C2×#546C2214yes—
36C2×#540C2212yescomplemented
37C2×#539C2214yescomplemented
38C2×#535C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C2×#520C2211yescharacteristic
42#2861C2212yescomplemented
43#2859C2212yescomplemented
44#2842C2212yes—
45#2841C2212yes—
46#2841C2212yes—
47#2841C2214yescomplemented
48#2837C2214yescomplemented
49#2837C2214yescomplemented
50#2828C2212yescomplemented
51#2820C2214yescomplemented
52#2814C2214yescomplemented
53#2814C2214yescomplemented
54#2813C2214yescomplemented
55#2790C2214yescomplemented
56#2784C2212yescomplemented
57#2781C2214yescomplemented
58#2781C2214yescomplemented
59#2780C2214yescomplemented
60#2779C2212yescomplemented
61#2772C2214yescomplemented
62#2768C2214yes—
63#2768C2212yescomplemented
64#2768C2214yescomplemented
65#2768C2214yescomplemented
66#2764C2211yescharacteristic
67#2764C2214yescomplemented
68#2761C2212yes—
69#2757C2214yescomplemented
70#2756C2212yescomplemented
71#2752C2211yescharacteristic
72#2736C2212yes—
73#2735C2211yescharacteristic
74#2723C2214yescomplemented
75#2718C2214yescomplemented
76#2715C2212yescomplemented
77#2715C2214yescomplemented
78#2711C2214yescomplemented
79#2708C2214yescomplemented
80#2707C2214yescomplemented
81#2706C2214yes—
82#2706C2214yescomplemented
83#2704C2214yes—
84#2704C2214yescomplemented
85#2704C2214yescomplemented
86#2704C2214yescomplemented
87#2701C2214yescomplemented
88#2701C2214yescomplemented
89#2699C2214yescomplemented
90#2697C2214yes—
91#2695C2214yes—
92#2695C2214yescomplemented
93#2695C2214yescomplemented
94#2694C2214yescomplemented
95#2694C2214yescomplemented
96#2691C2214yescomplemented
97#2685C2212yes—
98#2685C2214yes—
99#2683C2214yescomplemented
100#2683C2212yescomplemented
101#2681C2214yescomplemented
102#2681C2214yescomplemented
103#2681C2214yescomplemented
104#2681C2214yescomplemented
105#2678C2214yes—
106#2675C2214yescomplemented
107#2672C2214yes—
108#2672C2214yescomplemented
109#2672C2214yescomplemented
110#2671C2214yes—
111#2671C2214yescomplemented
112#2671C2214yescomplemented
113#2670C2211yescharacteristic
114#2670C2212yes—
115#2662C2214yescomplemented
116#2659C2214yescomplemented
117#2646C2214yescomplemented
118#2637C2214yescomplemented
119#2633C2212yes—
120#2633C2214yescomplemented
121#2630C2214yescomplemented
122#2630C2214yescomplemented
123#2629C2212yes—
124#2629C2212yescomplemented
125#2628C2211yescharacteristic
126#2628C2211yescharacteristic
127#2627C2212yescomplemented
128#2626C2214yes—
129#2620C2212yescomplemented
130#2618C2214yescomplemented
131#2616C2214yescomplemented
132#2611C2212yescomplemented
133#2598C2212yescomplemented
134#2593C2212yescomplemented
135#2584C2214yescomplemented
136#2581C2211yescharacteristic, complemented
137#2567C2211yescharacteristic, complemented
138#2566C2212yescomplemented
139#2564C2212yes—
140#2552C2212yescomplemented
141#2552C2212yescomplemented
142#2543C2214yescomplemented
143#2542C2211yescharacteristic, complemented
144#2538C2214yes—
145#2538C2212yescomplemented
146#2537C2212yes—
147#2537C2212yescomplemented
148#2537C2214yescomplemented
149#2536C2214yescomplemented
150#2535C2211yescharacteristic, complemented
151#2534C2212yes—
152#2534C2212yes—
153#2534C2214yes—
154#2529C2214yescomplemented
155#2512C2212yescomplemented
156#2507C2214yescomplemented
157#2502C2212yescomplemented
158#2501C2212yes—
159#2500C2212yescomplemented
160#2491C2212yes—
161#2491C2212yescomplemented
162#2489C2212yescomplemented
163#2468C2214yescomplemented
164#2468C2214yescomplemented
165#2463C2214yes—
166#2461C2214yescomplemented
167#2461C2214yescomplemented
168#2455C2214yescomplemented
169#2455C2214yescomplemented
170#2454C2214yes—
171#2454C2212yescomplemented
172#2452C2212yescomplemented
173#2451C2212yescomplemented
174#2449C2214yes—
175#2449C2214yescomplemented
176#2449C2214yescomplemented
177#2447C2212yescomplemented
178#2445C2212yescomplemented
179#2444C2214yescomplemented
180#2442C2212yescomplemented
181#2442C2212yescomplemented
182#2441C2212yes—
183#2441C2212yescomplemented
184#2440C2212yes—
185#2440C2212yescomplemented
186#2440C2212yescomplemented
187#2440C2212yescomplemented
188#2438C2214yescomplemented
189#2437C2214yes—
190#2437C2212yes—
191#2437C2212yes—
192#2437C2212yes—
193#2430C2214yes—
194#2428C2212yes—
195#2428C2212yes—
196#2428C2212yescomplemented
197#2427C2212yescomplemented
198#2426C2212yes—
199#2426C2212yes—
200#2425C2214yes—
201#2425C2214yescomplemented
202#2425C2214yescomplemented
203#2425C2214yescomplemented
204#2425C2214yescomplemented
205#2424C2214yes—
206#2424C2214yes—
207#2423C2212yescomplemented
208#2422C2212yes—
209#2422C2212yescomplemented
210#2418C2214yes—
211#2418C2214yes—
212#2417C2212yescomplemented
213#2416C2212yes—
214#2416C2214yes—
215#2416C2212yes—
216#2416C2214yescomplemented
217#2415C2212yescomplemented
218#2414C2214yes—
219#2414C2212yescomplemented
220#2409C2212yes—
221#2409C2214yescomplemented
222#2408C2212yes—
223#2408C2212yes—
224#2408C2212yes—
225#2407C2212yes—
226#2407C2214yescomplemented
227#2407C2214yescomplemented
228#2405C2214yes—
229#2397C2212yes—
230#2396C2211yescharacteristic
231#2395C2212yescomplemented
232#2392C2211yescharacteristic
233#2392C2212yescomplemented
234C2×#395C2212yescomplemented
235#2376C2214yescomplemented
236#2361C2212yes—
237#2361C2212yescomplemented
238#2361C2212yescomplemented
239#2356C2211yescharacteristic, complemented
240#2354C2212yes—
241#2349C2214yescomplemented
242#2349C2211yescharacteristic, complemented
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2212yescomplemented
245#2339C2212yes—
246D4×C22⋊C4C2212yes—
247#2326C2214yescomplemented
248#2316C2211yescharacteristic
249#2316C2212yescomplemented
250#2309C2211yescharacteristic
251C4×C4⋊Q8C2212yescomplemented
252C4×#127C2212yescomplemented
253C4×#126C2212yescomplemented
254C4×#124C2212yescomplemented
255C4×#120C2212yes—
256#2293C2212yes—
257#2280C2211yescharacteristic
258C2×#380C2212yes—
259C22×#41C2311yescharacteristic
260C22×#41C2314yes—
261C23×Q8C2312yes—
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C24×C4C2311yescharacteristic
265#554—44no—
266#553—48no—
267D4×Q8—44no—
268#548—416no—
269#547—48no—
270#546—416no—
271#540—48no—
272#539—416no—
273#535—44no—
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2311yescharacteristic
276C2×C4⋊Q8C2311yescharacteristic
277C2×#127C2312yes—
278C2×#126C2312yes—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#125C2314yes—
282C2×#125C2312yes—
283C2×#125C2314yes—
284C2×#125C2312yes—
285C2×#125C2312yes—
286C2×#124C2314yes—
287C2×#124C2312yes—
288C2×#124C2314yes—
289C2×#124C2312yes—
290#525—44no—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2312yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2314yes—
315C2×#121—44no—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#120C2312yes—
335C2×#120C2312yes—
336C2×#120C2314yes—
337C2×#120C2312yes—
338C2×#120C2312yes—
339#520—44no—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2314yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2314yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2312yes—
380#400C2312yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2312yes—
387#400C2311yescharacteristic
388#399C2311yescharacteristic
389#399C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2312yes—
395#399C2312yes—
396#399C2314yes—
397#399C2312yes—
398#399C2312yes—
399#399C2312yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2311yescharacteristic
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2311yescharacteristic
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#395C2312yes—
462#395C2314yes—
463#395C2312yes—
464#395C2312yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2312yes—
470#395C2312yes—
471#395C2311yescharacteristic
472#394C2314yes—
473#394C2314yes—
474#394C2311yescharacteristic
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#393C2312yes—
506#393C2312yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2311yescharacteristic
511#392C2314yes—
512#392C2314yes—
513#392C2312yes—
514#392C2314yes—
515#392C2311yescharacteristic
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#386C2312yes—
627#386C2312yes—
628#386C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2312yes—
656#384C2312yes—
657#384C2312yes—
658#384C2312yes—
659#384C2314yes—
660#384C2312yes—
661#384C2312yes—
662#383C2312yes—
663#383C2312yes—
664#382C2314yes—
665#382C2311yescharacteristic
666#382C2311yescharacteristic
667#382C2314yes—
668#382C2312yes—
669#381C2311yescharacteristic
670#381C2311yescharacteristic
671#381C2314yes—
672#381C2314yes—
673#380C2314yes—
674#380C2312yes—
675#380C2312yes—
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2314yes—
685#380C2314yes—
686#380C2312yes—
687#380C2312yes—
688#380C2314yes—
689#380C2314yes—
690#380C2312yes—
691#380C2314yes—
692#380C2312yes—
693#380C2314yes—
694#380C2314yes—
695#380C2312yes—
696#380C2312yes—
697#379C2312yes—
698#379C2312yes—
699#379C2314yes—
700#379C2312yes—
701#379C2314yes—
702#379C2311yescharacteristic
703#379C2311yescharacteristic
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719#376C2312yes—
720C2×#95C2312yes—
721C2×#95C2314yes—
722C2×#95C2314yes—
723C43C2312yes—
724C25C2411yescharacteristic
725C25C2412yes—
726C2×#41—24no—
727C2×#41—24no—
728C2×#41—48no—
729C2×#41—42no—
730C2×#41—48no—
731C2×#41—48no—
732C22×Q8—48no—
733C22×Q8—44no—
734C22×Q8C2411yescharacteristic
735C22×Q8C2411yescharacteristic
736C22×Q8C2414yes—
737C22×Q8C2412yes—
738C22×Q8C2412yes—
739C22×D4—24no—
740C22×D4—42no—
741C22×D4—44no—
742C22×D4—42no—
743C22×D4—48no—
744C22×D4C2412yes—
745C22×D4C2412yes—
746C22×D4C2414yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2414yes—
750C22×D4C2411yescharacteristic
751C22×D4C2412yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2411yescharacteristic
758C22×D4C2414yes—
759C22×D4C2414yes—
760C23×C4—24no—
761C23×C4—42no—
762C23×C4—42no—
763C23×C4C2412yes—
764C23×C4C2412yes—
765C23×C4C2412yes—
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2412yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2412yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2412yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2412yes—
779C4⋊Q8—28no—
780C4⋊Q8—42no—
781C4⋊Q8—42no—
782#127—28no—
783#126—28no—
784#126—48no—
785#126—48no—
786#125—48no—
787#125—48no—
788#125—44no—
789#125—44no—
790#125—44no—
791#124—216no—
792#124—28no—
793#124—48no—
794#124—44no—
795#123—216no—
796#123—48no—
797#123—48no—
798#123—44no—
799#123—48no—
800#123—48no—
801#123—48no—
802#123—48no—
803#123—48no—
804#123—48no—
805#123—48no—
806C22⋊Q8—48no—
807C22⋊Q8—48no—
808C22⋊Q8—48no—
809C22⋊Q8—48no—
810C22⋊Q8—48no—
811C22⋊Q8—48no—
812C22⋊Q8—48no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—44no—
816C22⋊Q8—48no—
817C22⋊Q8—44no—
818C22⋊Q8—44no—
819#121—28no—
820#121—28no—
821#121—28no—
822#121—48no—
823#121—48no—
824#121—48no—
825#121—48no—
826#121—48no—
827#121—48no—
828#121—48no—
829#121—48no—
830#121—48no—
831#121—48no—
832#121—44no—
833#121—44no—
834#121—44no—
835#121—48no—
836#121—48no—
837#120—28no—
838#120—48no—
839#120—44no—
840#120—44no—
841#120—44no—
842C4×Q8—24no—
843C4×Q8—48no—
844C4×Q8—42no—
845C4×Q8—42no—
846C4×D4—28no—
847C4×D4—28no—
848C4×D4—24no—
849C4×D4—216no—
850C4×D4—48no—
851C4×D4—48no—
852C4×D4—48no—
853C4×D4—42no—
854C4×D4—44no—
855C4×D4—48no—
856C4×D4—44no—
857C4×D4—44no—
858C4×D4—44no—
859C4×D4—48no—
860C4×D4—44no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—42no—
864C4×D4—44no—
865C4×D4—48no—
866C4×D4—48no—
867#117—42no—
868#117—42no—
869#117—44no—
870#117—44no—
871#117—42no—
872#117—44no—
873C2×C4⋊C4—24no—
874C2×C4⋊C4—28no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4—48no—
877C2×C4⋊C4—44no—
878C2×C4⋊C4—44no—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C22⋊C4—44no—
939C2×C22⋊C4—48no—
940C2×C22⋊C4—48no—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2411yescharacteristic
966C2×C22⋊C4C2411yescharacteristic
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2414yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2411yescharacteristic
1025#95C2414yes—
1026#95C2412yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2411yescharacteristic
1033#95C2412yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2411yescharacteristic
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2411yescharacteristic
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072C24—24no—
1073C24—22no—
1074C24—24no—
1075C24—41no—
1076C24—42no—
1077C24—42no—
1078C24—41no—
1079C24—44no—
1080C24—44no—
1081C24—42no—
1082C24C2514yes—
1083C24C2512yes—
1084C24C2512yes—
1085C24C2512yes—
1086C24C2511yescharacteristic
1087#41—416no—
1088#41—832no—
1089C2×Q8—22no—
1090C2×Q8—24no—
1091C2×Q8—28no—
1092C2×Q8—22no—
1093C2×Q8—28no—
1094C2×Q8—22no—
1095C2×Q8—41no—
1096C2×Q8—44no—
1097C2×Q8—44no—
1098C2×Q8—42no—
1099C2×Q8—44no—
1100C2×Q8—42no—
1101C2×Q8—816no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—24no—
1105C2×D4—28no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—22no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—28no—
1120C2×D4—22no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—41no—
1124C2×D4—42no—
1125C2×D4—44no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—88no—
1149C2×D4—816no—
1150C2×D4H(5,𝔽2)14yes—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—24no—
1154C22×C4—28no—
1155C22×C4—28no—
1156C22×C4—22no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—28no—
1166C22×C4—28no—
1167C22×C4—28no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—42no—
1171C22×C4—41no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—42no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—42no—
1185C22×C4—41no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—42no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—88no—
1196C22×C42−1+414yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2514yes—
1212C22×C4C2514yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—22no—
1224C4⋊C4—28no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—41no—
1239C4⋊C4—42no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—42no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—42no—
1249C4⋊C4—41no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—41no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—41no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4H(5,𝔽2)14yes—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—24no—
1286C22⋊C4—24no—
1287C22⋊C4—24no—
1288C22⋊C4—24no—
1289C22⋊C4—24no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—24no—
1293C22⋊C4—28no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—24no—
1299C22⋊C4—24no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—41no—
1315C22⋊C4—42no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4H(5,𝔽2)18yes—
1345C42—24no—
1346C42—24no—
1347C42—22no—
1348C42—24no—
1349C42—22no—
1350C42—28no—
1351C42—28no—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—42no—
1357C42—42no—
1358C42—42no—
1359C42—42no—
1360C42—44no—
1361C23—22no—
1362C23—22no—
1363C23—24no—
1364C23—22no—
1365C23—21no—
1366C23—22no—
1367C23—21no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—24no—
1375C23—22no—
1376C23—24no—
1377C23—24no—
1378C23—24no—
1379C23—22no—
1380C23—22no—
1381C23—24no—
1382C23—22no—
1383C23—22no—
1384C23—24no—
1385C23—24no—
1386C23—24no—
1387C23—22no—
1388C23—22no—
1389C23—44no—
1390C23—48no—
1391C23—82no—
1392C23—84no—
1393C23—84no—
1394C23—88no—
1395C23—82no—
1396C23—84no—
1397C23—84no—
1398C23—164no—
1399C23C2×H(5,𝔽2)14yes—
1400C23C2×H(5,𝔽2)14yes—
1401C23C2×2−1+412yes—
1402C23C2611yescharacteristic
1403Q8—44no—
1404Q8—416no—
1405Q8—44no—
1406Q8—84no—
1407Q8—162no—
1408D4—28no—
1409D4—48no—
1410D4—416no—
1411D4—48no—
1412D4—416no—
1413D4—48no—
1414D4—44no—
1415D4—48no—
1416D4—84no—
1417D4—88no—
1418D4—84no—
1419D4—88no—
1420D4—88no—
1421D4—88no—
1422D4—88no—
1423D4—164no—
1424C2×C4—24no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—28no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—48no—
1485C2×C4—48no—
1486C2×C4—48no—
1487C2×C4—84no—
1488C2×C4—84no—
1489C2×C4—84no—
1490C2×C4—88no—
1491C2×C4—88no—
1492C2×C4—88no—
1493C2×C4—88no—
1494C2×C4—82no—
1495C2×C4—88no—
1496C2×C4—162no—
1497C2×C4—164no—
1498C2×C4—164no—
1499C2×C4C2×H(5,𝔽2)14yes—
1500C2×C4C2×H(5,𝔽2)14yes—
1501C2×C4C2×H(5,𝔽2)14yes—
1502C2×C4C2×H(5,𝔽2)12yes—
1503C2×C4C2×H(5,𝔽2)12yes—
1504C2×C4C2×2−1+412yes—
1505C2×C4C2×2−1+412yes—
1506C22—22no—
1507C22—24no—
1508C22—24no—
1509C22—28no—
1510C22—24no—
1511C22—24no—
1512C22—24no—
1513C22—42no—
1514C22—42no—
1515C22—41no—
1516C22—42no—
1517C22—42no—
1518C22—41no—
1519C22—42no—
1520C22—42no—
1521C22—44no—
1522C22—42no—
1523C22—42no—
1524C22—44no—
1525C22—42no—
1526C22—44no—
1527C22—42no—
1528C22—44no—
1529C22—44no—
1530C22—42no—
1531C22—42no—
1532C22—44no—
1533C22—42no—
1534C22—42no—
1535C22—44no—
1536C22—44no—
1537C22—88no—
1538C22—168no—
1539C22C22×H(5,𝔽2)11yescharacteristic
1540C22C22×H(5,𝔽2)11yescharacteristic
1541C22C22×H(5,𝔽2)12yes—
1542C22C22×2−1+411yescharacteristic
1543C222−1+612yes—
1544C4—22no—
1545C4—24no—
1546C4—24no—
1547C4—24no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—44no—
1552C4—44no—
1553C4—41no—
1554C4—42no—
1555C4—41no—
1556C4—41no—
1557C4—42no—
1558C4—41no—
1559C4—42no—
1560C4—44no—
1561C4—44no—
1562C4—42no—
1563C4—44no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4#353614yes—
1568C2—44no—
1569C2—44no—
1570C2—42no—
1571C2—82no—
1572C2—84no—
1573C2C2×#353611yescharacteristic
1574C2#6291412yes—
1575C2#6291512yes—
1576C2#6301111yescharacteristic
1577C2#6304411yescharacteristic
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. #59654C2semidirect
2. #59021C2semidirect
3. #59015C2semidirect
4. #58987C2semidirect
5. #58259C2semidirect
6. #57624C2semidirect
7. #57290C2semidirect
8. #54930C2semidirect
9. #53016C2semidirect
10. #52673C2semidirect
11. #52245C2semidirect
12. #50064C2semidirect
13. #47843C2semidirect
14. #46112C2semidirect
15. #45422C2semidirect
16. #45106C2semidirect
17. #42975C2semidirect
18. #42490C2semidirect
19. #42477C2semidirect
20. #42445C2semidirect
21. #40493C2semidirect
22. #40154C2semidirect
23. #39416C2semidirect
24. #39404C2semidirect
25. #38965C2semidirect
26. #37477C2semidirect
27. #35739C2semidirect
28. #35701C2semidirect
29. #35563C2semidirect
30. C2×#554C22semidirect
31. C2×#553C22semidirect
32. C2×D4×Q8C22semidirect
33. C2×#548C22semidirect
36. C2×#540C22semidirect
37. C2×#539C22semidirect
42. #2861C22semidirect
43. #2859C22semidirect
47. #2841C22semidirect
48. #2837C22semidirect
49. #2837C22semidirect
50. #2828C22semidirect
51. #2820C22semidirect
52. #2814C22semidirect
53. #2814C22semidirect
54. #2813C22semidirect
55. #2790C22semidirect
56. #2784C22semidirect
57. #2781C22semidirect
58. #2781C22semidirect
59. #2780C22semidirect
60. #2779C22semidirect
61. #2772C22semidirect
63. #2768C22semidirect
64. #2768C22semidirect
65. #2768C22semidirect
67. #2764C22semidirect
69. #2757C22semidirect
70. #2756C22semidirect
74. #2723C22semidirect
75. #2718C22semidirect
76. #2715C22semidirect
77. #2715C22semidirect
78. #2711C22semidirect
79. #2708C22semidirect
80. #2707C22semidirect
82. #2706C22semidirect
84. #2704C22semidirect
85. #2704C22semidirect
86. #2704C22semidirect
87. #2701C22semidirect
88. #2701C22semidirect
89. #2699C22semidirect
92. #2695C22semidirect
93. #2695C22semidirect
94. #2694C22semidirect
95. #2694C22semidirect
96. #2691C22semidirect
99. #2683C22semidirect
100. #2683C22semidirect
101. #2681C22semidirect
102. #2681C22semidirect
103. #2681C22semidirect
104. #2681C22semidirect
106. #2675C22semidirect
108. #2672C22semidirect
109. #2672C22semidirect
111. #2671C22semidirect
112. #2671C22semidirect
115. #2662C22semidirect
116. #2659C22semidirect
117. #2646C22semidirect
118. #2637C22semidirect
120. #2633C22semidirect
121. #2630C22semidirect
122. #2630C22semidirect
124. #2629C22semidirect
127. #2627C22semidirect
129. #2620C22semidirect
130. #2618C22semidirect
131. #2616C22semidirect
132. #2611C22semidirect
133. #2598C22semidirect
134. #2593C22semidirect
135. #2584C22semidirect
136. #2581C22semidirect
137. #2567C22semidirect
138. #2566C22semidirect
140. #2552C22semidirect
141. #2552C22semidirect
142. #2543C22semidirect
143. #2542C22semidirect
145. #2538C22semidirect
147. #2537C22semidirect
148. #2537C22semidirect
149. #2536C22semidirect
150. #2535C22semidirect
154. #2529C22semidirect
155. #2512C22semidirect
156. #2507C22semidirect
157. #2502C22semidirect
159. #2500C22semidirect
161. #2491C22semidirect
162. #2489C22semidirect
163. #2468C22semidirect
164. #2468C22semidirect
166. #2461C22semidirect
167. #2461C22semidirect
168. #2455C22semidirect
169. #2455C22semidirect
171. #2454C22semidirect
172. #2452C22semidirect
173. #2451C22semidirect
175. #2449C22semidirect
176. #2449C22semidirect
177. #2447C22semidirect
178. #2445C22semidirect
179. #2444C22semidirect
180. #2442C22semidirect
181. #2442C22semidirect
183. #2441C22semidirect
185. #2440C22semidirect
186. #2440C22semidirect
187. #2440C22semidirect
188. #2438C22semidirect
196. #2428C22semidirect
197. #2427C22semidirect
201. #2425C22semidirect
202. #2425C22semidirect
203. #2425C22semidirect
204. #2425C22semidirect
207. #2423C22semidirect
209. #2422C22semidirect
212. #2417C22semidirect
216. #2416C22semidirect
217. #2415C22semidirect
219. #2414C22semidirect
221. #2409C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
231. #2395C22semidirect
233. #2392C22semidirect
234. C2×#395C22semidirect
235. #2376C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
239. #2356C22semidirect
241. #2349C22semidirect
242. #2349C22semidirect
244. D4×C4⋊C4C22semidirect
247. #2326C22semidirect
249. #2316C22semidirect
251. C4×C4⋊Q8C22semidirect
252. C4×#127C22semidirect
253. C4×#126C22semidirect
254. C4×#124C22semidirect

Maximal subgroups

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

subgroupindex
#596542
#590212
#590152
#589872
#582592
#576242
#572902
#549302
#530162
#526732
#522452
#500642
#478432
#461122
#454222
#451062
#429752
#424902
#424772
#424452
#404932
#401542
#394162
#394042
#389652
#374772
#357392
#357012
#355632