Finite Group Databasebeta

← #10582671

Subgroups — #10582671

Order 512.

5772 conjugacy classes of subgroups.

The subgroup lattice has 2137 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62831C211yesmaximal, characteristic, complemented
2#62752C211yesmaximal, characteristic, complemented
3#62619C212yesmaximal, complemented
4#62616C212yesmaximal, complemented
5#62565C214yesmaximal, complemented
6#62522C212yesmaximal, complemented
7#62519C212yesmaximal, complemented
8#62497C214yesmaximal, complemented
9#62240C212yesmaximal, complemented
10#62239C212yesmaximal, complemented
11#62238C212yesmaximal, complemented
12#62237C212yesmaximal, complemented
13#62194C212yesmaximal, complemented
14#62193C212yesmaximal, complemented
15#62192C212yesmaximal, complemented
16#62191C212yesmaximal, complemented
17#61846C212yesmaximal, complemented
18#61845C212yesmaximal, complemented
19#61743C212yesmaximal, complemented
20#61742C212yesmaximal, complemented
21#61724C214yesmaximal, complemented
22#61715C214yesmaximal, complemented
23#60984C214yesmaximal, complemented
24#60967C211yesmaximal, characteristic, complemented
25#60952C211yesmaximal, characteristic, complemented
26#60876C214yesmaximal, complemented
27#60865C211yesmaximal, characteristic, complemented
28#60862C211yesmaximal, characteristic, complemented
29#60289C211yesmaximal, characteristic, complemented
30#3565—22no—
31#3565C2214yes—
32#3564—22no—
33#3564—22no—
34#3563—21no—
35#3563C2212yes—
36#3561—21no—
37#3559C2212yes—
38#3557—22no—
39#3555C2212yes—
40#3555C2212yes—
41#3554C2212yes—
42#3552C2212yes—
43#3552C2212yes—
44#3547C2212yes—
45#3544C2212yes—
46#3544C2212yes—
47#3538—21no—
48#3536—21no—
49#3535—22no—
50#3535—22no—
51#3531—22no—
52#3523C2212yes—
53#3522C2212yes—
54#3520C2214yes—
55#3518C2212yes—
56#3515—22no—
57#3515C2212yes—
58#3510—21no—
59#3507—22no—
60#3507C2211yescharacteristic
61#3506C2211yescharacteristic
62#3504—21no—
63#3502C2211yescharacteristic
64#3501C2211yescharacteristic
65#3495—21no—
66#3495C2214yes—
67#3494—21no—
68#3482—22no—
69Q8×#41C2212yes—
70#3475C2214yes—
71#3475C2212yes—
72#3461—22no—
73#3461—22no—
74#3458C2212yes—
75#3455C2212yes—
76#3444C2211yescharacteristic
77#3444C2211yescharacteristic
78C2×#533C2211yescharacteristic
79C2×#533C2211yescharacteristic
80C2×#529C2211yescharacteristic
81#3389C2214yescomplemented
82#3388C2214yescomplemented
83#3387C2214yescomplemented
84#3387C2212yescomplemented
85#3387C2212yescomplemented
86#3386C2212yescomplemented
87#3385C2214yescomplemented
88#3385C2212yescomplemented
89#3383C2212yescomplemented
90Q8×Q16C2212yescomplemented
91#3381C2212yescomplemented
92Q8×SD16C2212yescomplemented
93#3377C2214yescomplemented
94#3376C2214yescomplemented
95#3375C2212yescomplemented
96#3374C2214yescomplemented
97#3374C2212yescomplemented
98#3373C2212yescomplemented
99#3372C2214yescomplemented
100#3372C2212yescomplemented
101#3365C2212yescomplemented
102#3363C2212yescomplemented
103#3361C2212yescomplemented
104#3359C2212yescomplemented
105#3357C2212yescomplemented
106#3356C2214yescomplemented
107#3356C2212yescomplemented
108#3356C2212yescomplemented
109#3354C2214yescomplemented
110#3353C2214yescomplemented
111#3353C2214yescomplemented
112#3353C2212yescomplemented
113#3352C2214yescomplemented
114#3352C2214yescomplemented
115#3351C2214yescomplemented
116#3351C2214yescomplemented
117#3350C2214yescomplemented
118#3349C2214yescomplemented
119#3349C2214yescomplemented
120#3348C2214yescomplemented
121#3348C2214yescomplemented
122#3347C2214yescomplemented
123#3346C2214yescomplemented
124#3345C2214yescomplemented
125#3344C2214yescomplemented
126#3344C2214yescomplemented
127#3343C2214yescomplemented
128#3343C2214yescomplemented
129#3342C2212yescomplemented
130#3340C2212yescomplemented
131#3338C2212yescomplemented
132#3335C2212yescomplemented
133#3333C2212yescomplemented
134#3332C2212yescomplemented
135#3331C2214yescomplemented
136#3330C2214yescomplemented
137#3329C2214yescomplemented
138#3329C2212yescomplemented
139#3328C2214yescomplemented
140#3328C2212yescomplemented
141#3327C2214yescomplemented
142#3327C2214yescomplemented
143#3326C2214yescomplemented
144#3326C2214yescomplemented
145#3321C2214yescomplemented
146#3320C2214yescomplemented
147#3320C2214yescomplemented
148#3316C2214yescomplemented
149#3315C2214yescomplemented
150#3315C2214yescomplemented
151#3313C2214yescomplemented
152#3312C2214yescomplemented
153#3312C2214yescomplemented
154#3308C2214yescomplemented
155#3307C2214yescomplemented
156#3307C2214yescomplemented
157#3305C2212yescomplemented
158#3304C2212yescomplemented
159#3299C2212yescomplemented
160#3298C2212yescomplemented
161#3261C2214yescomplemented
162#3260C2214yescomplemented
163#3258C2214yescomplemented
164#3257C2214yescomplemented
165#3255C2211yescharacteristic, complemented
166#3255C2211yescharacteristic, complemented
167#3255C2211yescharacteristic, complemented
168#3254C2211yescharacteristic, complemented
169#3254C2211yescharacteristic, complemented
170#3254C2211yescharacteristic, complemented
171#3254C2211yescharacteristic, complemented
172#3253C2211yescharacteristic, complemented
173#3244C2214yescomplemented
174#3244C2214yescomplemented
175#3244C2214yescomplemented
176#3243C2214yescomplemented
177#3243C2214yescomplemented
178#3243C2214yescomplemented
179#3242C2214yescomplemented
180#3242C2214yescomplemented
181#3242C2214yescomplemented
182#3242C2214yescomplemented
183#3240C2214yes—
184#3240C2214yes—
185#3240C2214yescomplemented
186#3239C2212yescomplemented
187#3237C2214yes—
188#3237C2212yes—
189#3237C2212yes—
190#3237C2212yes—
191#3236C2212yescomplemented
192#3236C2212yescomplemented
193#3233C2214yes—
194#3233C2212yes—
195#3233C2212yescomplemented
196#3231C2214yes—
197#3231C2212yes—
198#3231C2214yes—
199#3231C2212yescomplemented
200#3230C2212yescomplemented
201#3229C2212yescomplemented
202#3228C2212yes—
203#3228C2212yescomplemented
204#3225C2214yescomplemented
205#3225C2214yescomplemented
206#3218C2212yescomplemented
207#3216C2212yes—
208#3212C2212yes—
209#3212C2212yescomplemented
210#3197C2214yes—
211#3197C2214yes—
212#3196C2212yes—
213#3196C2212yes—
214#3196C2214yes—
215#3191C2214yes—
216#3190C2214yes—
217#3183C2214yescomplemented
218#3178C2214yescomplemented
219#3178C2214yescomplemented
220#3175C2214yescomplemented
221#3173C2214yescomplemented
222#3172C2212yescomplemented
223#3172C2212yescomplemented
224#3165C2212yescomplemented
225#3165C2211yescharacteristic, complemented
226#3165C2211yescharacteristic, complemented
227#3164C2214yescomplemented
228#3163C2214yescomplemented
229#3141C2211yescharacteristic, complemented
230#3141C2211yescharacteristic, complemented
231#3139C2212yescomplemented
232#3137C2214yescomplemented
233#3137C2214yescomplemented
234#3127C2214yescomplemented
235#3126C2214yescomplemented
236#3120C2214yescomplemented
237#3119C2214yescomplemented
238#3116C2214yes—
239#3116C2212yes—
240#3116C2212yescomplemented
241#3115C2212yes—
242#3115C2212yescomplemented
243#3111C2214yes—
244#3107C2212yes—
245#3107C2212yes—
246#3107C2214yes—
247#3104C2212yescomplemented
248#3103C2212yescomplemented
249#3102C2214yes—
250#3095C2214yes—
251#3095C2214yes—
252#3093C2212yes—
253#3093C2212yes—
254#3093C2214yes—
255#3091C2214yes—
256C2×#485C2214yes—
257#3084C2214yescomplemented
258#3083C2214yescomplemented
259#3082C2214yescomplemented
260#3082C2214yescomplemented
261#3080C2212yescomplemented
262#3080C2212yescomplemented
263#3078C2212yescomplemented
264#3078C2212yescomplemented
265#2995C2212yes—
266#2995C2212yes—
267#2993C2212yes—
268#2993C2212yes—
269#2984C2212yes—
270#2975C2212yes—
271#2974C2212yes—
272#2973C2212yes—
273#2969C2212yes—
274#2969C2212yes—
275#2967C2214yes—
276#2924C2214yes—
277#2920C2211yescharacteristic
278#2920C2211yescharacteristic
279#564—22no—
280#563—24no—
281#563—24no—
282#563—24no—
283#563—24no—
284#563—22no—
285#563—22no—
286#563—24no—
287#563—24no—
288#563—24no—
289#562—22no—
290#562—24no—
291#562—24no—
292#562—24no—
293#559—22no—
294#559—22no—
295#559—22no—
296#559C2312yes—
297Q82C2312yes—
298Q82C2312yes—
299Q82C2312yes—
300#557—22no—
301#557—22no—
302#557—22no—
303#557—22no—
304#557—22no—
305#557C2312yes—
306#557C2312yes—
307#557C2312yes—
308#557C2314yes—
309#557C2312yes—
310#556—24no—
311#556—24no—
312#556—22no—
313#556—22no—
314#556—22no—
315#556—22no—
316#556—22no—
317#556—24no—
318#556C2312yes—
319#556C2312yes—
320#556C2314yes—
321#556C2312yes—
322#556C2314yes—
323#555—22no—
324#555C2312yes—
325#555C2314yes—
326#555C2312yes—
327#554—22no—
328#554—22no—
329#554—22no—
330#554—22no—
331#554—22no—
332#554—24no—
333#554—22no—
334#554—24no—
335#554—24no—
336#554C2312yes—
337#554C2314yes—
338#554C2312yes—
339#554C2314yes—
340#554C2312yes—
341#554C2312yes—
342#554C2312yes—
343#553—22no—
344#553—22no—
345#553—22no—
346#553C2314yes—
347#553C2314yes—
348#553C2314yes—
349#552—24no—
350#552—24no—
351#552—22no—
352#552—24no—
353#552—24no—
354#552—22no—
355#552—22no—
356#552—22no—
357#552—22no—
358#552—24no—
359#552—24no—
360#552—24no—
361#552—22no—
362#552—24no—
363#552—24no—
364#552C2314yes—
365#552C2314yes—
366#552C2314yes—
367#552C2314yes—
368#552C2314yes—
369#551—24no—
370#551—24no—
371#551—24no—
372#551—24no—
373#551—24no—
374#551—24no—
375#551—24no—
376#550C2312yes—
377D4×Q8—22no—
378D4×Q8—22no—
379D4×Q8C2312yes—
380D4×Q8C2314yes—
381D4×Q8C2312yes—
382D4×Q8C2312yes—
383#548—22no—
384#548—22no—
385#548C2314yes—
386#548C2314yes—
387#547—24no—
388#547—24no—
389#547—22no—
390#547—22no—
391#547C2314yes—
392#547C2312yes—
393#547C2314yes—
394#547C2312yes—
395#547C2314yes—
396#546—24no—
397#546—22no—
398#546—24no—
399#544—22no—
400#544—22no—
401#544—22no—
402#544—22no—
403#544—22no—
404#544—22no—
405#544—21no—
406#544—21no—
407#544—22no—
408#544C2314yes—
409#544C2314yes—
410#544C2314yes—
411#544C2314yes—
412#544C2314yes—
413#543—22no—
414#543—22no—
415#543—22no—
416#542—24no—
417#542—24no—
418#542—22no—
419#542—24no—
420#542—22no—
421#542—22no—
422#542—24no—
423#542—24no—
424#542—22no—
425#542—22no—
426#542—22no—
427#542—24no—
428#542C2314yes—
429#542C2314yes—
430#542C2314yes—
431#542C2314yes—
432#541—24no—
433#541—24no—
434#541—24no—
435#541—24no—
436#541—22no—
437#541—24no—
438#541—22no—
439#541—22no—
440#541C2314yes—
441#541C2314yes—
442#541C2314yes—
443#540—22no—
444#540C2314yes—
445#539—24no—
446#539—24no—
447#539—24no—
448#539—24no—
449#539—24no—
450#539—24no—
451#539—22no—
452#539—22no—
453#539—24no—
454#539—24no—
455#539—22no—
456#539—22no—
457#539—22no—
458#538—22no—
459#538—22no—
460#538—22no—
461#537—22no—
462#537—22no—
463#536—21no—
464#536—22no—
465#536—24no—
466#536—24no—
467#536—22no—
468#536C2314yes—
469#535—21no—
470#533—22no—
471#533—22no—
472#533—22no—
473#533—24no—
474#533—24no—
475#533—24no—
476#533—21no—
477#533—21no—
478#533—21no—
479#533—21no—
480#533—21no—
481#533—21no—
482#533—21no—
483#533—21no—
484#533C2311yescharacteristic
485#533C2311yescharacteristic
486#533C2311yescharacteristic
487#533C2314yes—
488#533C2311yescharacteristic
489#533C2311yescharacteristic
490#533C2312yes—
491#533C2312yes—
492#533C2311yescharacteristic
493#533C2311yescharacteristic
494#533C2311yescharacteristic
495#533C2312yes—
496#533C2312yes—
497#533C2311yescharacteristic
498#533C2312yes—
499#533C2312yes—
500#533C2311yescharacteristic
501#533C2314yes—
502#532—22no—
503#532C2311yescharacteristic
504#532C2311yescharacteristic
505#532C2311yescharacteristic
506#532C2311yescharacteristic
507#532C2311yescharacteristic
508#532C2311yescharacteristic
509C2×C4⋊Q8C2311yescharacteristic
510C2×C4⋊Q8C2311yescharacteristic
511C2×C4⋊Q8C2311yescharacteristic
512C2×C4⋊Q8C2311yescharacteristic
513#529—22no—
514#529—22no—
515#529—22no—
516#529—22no—
517#529—24no—
518#529—22no—
519#529—24no—
520#529—24no—
521#529—24no—
522#529—24no—
523#529—24no—
524#529—21no—
525#529—21no—
526#529—21no—
527#529—21no—
528#529—21no—
529#529—21no—
530#529—21no—
531#529—21no—
532#529D412yes—
533#529D412yes—
534#529D412yes—
535#529D412yes—
536#529C2314yes—
537#529C2312yes—
538#529C2312yes—
539#529C2312yes—
540#529C2312yes—
541#529C2312yes—
542#529C2312yes—
543#529C2312yes—
544#529C2312yes—
545C2×#126D412yes—
546C2×#125—22no—
547C2×#125—21no—
548C2×#125D411yescharacteristic
549C2×#125C2312yes—
550C2×#124D411yescharacteristic
551#525—21no—
552#525—21no—
553#525—21no—
554#525—21no—
555#525C2314yes—
556#525C2312yes—
557#525C2312yes—
558#525C2314yes—
559C2×#123D412yes—
560C2×C22⋊Q8—21no—
561C2×C22⋊Q8—21no—
562C2×C22⋊Q8—21no—
563C2×C22⋊Q8D411yescharacteristic
564C2×C22⋊Q8C2314yes—
565C2×C22⋊Q8C2312yes—
566C2×#121D411yescharacteristic
567#520—24no—
568#520—21no—
569#520—21no—
570#520C2314yes—
571#519—21no—
572#519C2314yes—
573#518—21no—
574C4×#41—24no—
575C4×#41—22no—
576C4×#41—21no—
577C4×#41—21no—
578C4×#41—21no—
579C4×#41—21no—
580C4×#41C2312yes—
581C4×#41C2314yes—
582C4×#41C2312yes—
583C2×C4×Q8—22no—
584C2×C4×Q8—21no—
585C2×C4×Q8—21no—
586C2×C4×Q8—21no—
587C2×C4×Q8C2312yes—
588C2×C4×Q8C2311yescharacteristic
589C2×C4×D4C2312yes—
590C2×C4×D4C2311yescharacteristic
591C2×#117—21no—
592C2×#117C2314yes—
593C2×#117C2312yes—
594C2×#117C2312yes—
595C22×C42C2311yescharacteristic
596#501C2314yes—
597#501C2314yes—
598#501C2314yes—
599#501C2314yes—
600#501C2314yes—
601#501C2314yes—
602#501C2312yes—
603#501C2314yes—
604#501C2312yes—
605#501C2314yes—
606#500C2312yes—
607#500C2312yes—
608#500C2314yes—
609#500C2314yes—
610#499C2314yes—
611#499C2314yes—
612#499C2314yes—
613#498C2312yes—
614#498C2312yes—
615#498C2314yes—
616#498C2314yes—
617#497C2312yes—
618#497C2312yes—
619#495C2314yes—
620#491C2314yes—
621#491C2314yes—
622#491C2314yes—
623#491C2314yes—
624#491C2312yes—
625#491C2312yes—
626#489C2314yes—
627#489C2314yes—
628#489C2314yes—
629#489C2314yes—
630#489C2312yes—
631#489C2312yes—
632#488C2314yes—
633#488C2314yes—
634#488C2314yes—
635#488C2314yes—
636#487C2314yes—
637#487C2312yes—
638#487C2314yes—
639#487C2312yes—
640#487C2314yes—
641#487C2314yes—
642#486C2312yes—
643#486C2312yes—
644#485C2314yes—
645#485C2314yes—
646#485C2314yes—
647#485C2314yes—
648#485C2314yes—
649#485C2314yes—
650#485C2312yes—
651#485C2314yes—
652#485C2314yes—
653#485C2314yes—
654#485C2314yes—
655#485C2314yes—
656#485C2314yes—
657#485C2312yes—
658#485C2314yes—
659#485C2314yes—
660#485C2314yes—
661#485C2312yes—
662#485C2314yes—
663#485C2314yes—
664#485C2314yes—
665#485C2312yes—
666#484C2314yes—
667#484C2314yes—
668#484C2314yes—
669#484C2314yes—
670#484C2312yes—
671#484C2314yes—
672#484C2314yes—
673#484C2312yes—
674#483C2314yes—
675#483C2314yes—
676#483C2314yes—
677#483C2314yes—
678#483C2314yes—
679#483C2314yes—
680#482C2314yes—
681#482C2314yes—
682#482C2314yes—
683#482C2314yes—
684#482C2314yes—
685#482C2314yes—
686#482C2314yes—
687#482C2314yes—
688#482C2314yes—
689#482C2314yes—
690#481C2314yes—
691#481C2314yes—
692#481C2312yes—
693#481C2312yes—
694#480C2314yes—
695#480C2314yes—
696#479C2314yes—
697#479C2314yes—
698#479C2314yes—
699#479C2314yes—
700#479C2314yes—
701#479C2314yes—
702#479C2314yes—
703#479C2314yes—
704#479C2314yes—
705#479C2314yes—
706#479C2314yes—
707#479C2314yes—
708#479C2314yes—
709#479C2314yes—
710#479C2314yes—
711#479C2314yes—
712#478C2314yes—
713#478C2314yes—
714#478C2314yes—
715#478C2314yes—
716#478C2314yes—
717#478C2314yes—
718#478C2314yes—
719#478C2314yes—
720#477C2312yes—
721#477C2314yes—
722#477C2312yes—
723#477C2312yes—
724#477C2312yes—
725#477C2312yes—
726#477C2312yes—
727#477C2314yes—
728#477C2312yes—
729#477C2312yes—
730#477C2314yes—
731#477C2314yes—
732#476C2314yes—
733#476C2312yes—
734#476C2312yes—
735#476C2314yes—
736#475C2312yes—
737#475C2314yes—
738#475C2312yes—
739#475C2312yes—
740#475C2312yes—
741#475C2312yes—
742#475C2312yes—
743#475C2314yes—
744#475C2312yes—
745#475C2314yes—
746#475C2312yes—
747#475C2312yes—
748#475C2312yes—
749#475C2314yes—
750#474C2314yes—
751#474C2312yes—
752#474C2312yes—
753#474C2312yes—
754#474C2312yes—
755#474C2314yes—
756#470C2314yes—
757#470C2314yes—
758#470C2314yes—
759#470C2312yes—
760#470C2312yes—
761#470C2312yes—
762#470C2312yes—
763#470C2314yes—
764#469C2314yes—
765#469C2314yes—
766#468C2314yes—
767#468C2314yes—
768#468C2314yes—
769#468C2312yes—
770#468C2314yes—
771#468C2312yes—
772#468C2314yes—
773#468C2312yes—
774#468C2312yes—
775#468C2314yes—
776#467C2314yes—
777#467C2314yes—
778#467C2314yes—
779#466C2314yes—
780#465C2314yes—
781#465C2314yes—
782#465C2314yes—
783#465C2314yes—
784#464C2314yes—
785#464C2314yes—
786#463C2314yes—
787#463C2314yes—
788#462C2314yes—
789#462C2312yes—
790#462C2312yes—
791#462C2312yes—
792#462C2312yes—
793#462C2312yes—
794#462C2314yes—
795#462C2312yes—
796#461C2314yes—
797#461C2312yes—
798#461C2314yes—
799#461C2312yes—
800#461C2312yes—
801#461C2312yes—
802#460C2312yes—
803#460C2312yes—
804#460C2312yes—
805#460C2312yes—
806#459C2312yes—
807#459C2312yes—
808#452C2314yes—
809#452C2314yes—
810#452C2314yes—
811#452C2312yes—
812#452C2312yes—
813#452C2312yes—
814#452C2314yes—
815#452C2312yes—
816#451C2312yes—
817#451C2314yes—
818#451C2314yes—
819#451C2312yes—
820#449C2314yes—
821#449C2314yes—
822#449C2314yes—
823#449C2314yes—
824#448C2312yes—
825#448C2314yes—
826#448C2314yes—
827#448C2312yes—
828#446C2312yes—
829#446C2314yes—
830#446C2312yes—
831#446C2314yes—
832C8×Q8C2312yes—
833C8×Q8C2312yes—
834#442C2314yes—
835#442C2314yes—
836#441C2314yes—
837#441C2314yes—
838#441C2314yes—
839#441C2314yes—
840#440C2314yes—
841#440C2314yes—
842#440C2314yes—
843#440C2314yes—
844#440C2314yes—
845#440C2314yes—
846C4×Q16C2312yes—
847C4×Q16C2314yes—
848C4×Q16C2312yes—
849C4×Q16C2314yes—
850C4×Q16C2314yes—
851C4×Q16C2312yes—
852C4×Q16C2312yes—
853C4×SD16C2312yes—
854C4×SD16C2314yes—
855C4×SD16C2314yes—
856C4×SD16C2312yes—
857C4×SD16C2314yes—
858C4×SD16C2314yes—
859C4×SD16C2312yes—
860C4×SD16C2312yes—
861C4×D8C2314yes—
862#436C2312yes—
863#436C2314yes—
864#436C2312yes—
865#436C2314yes—
866#436C2314yes—
867#436C2314yes—
868#435C2314yes—
869#435C2314yes—
870#435C2314yes—
871#435C2314yes—
872#435C2314yes—
873#435C2314yes—
874C8×D4C2312yes—
875C8×D4C2312yes—
876#433C2314yes—
877#433C2314yes—
878#433C2314yes—
879#433C2314yes—
880#432C2314yes—
881#432C2312yes—
882#432C2312yes—
883#432C2312yes—
884#432C2312yes—
885#431C2314yes—
886#431C2312yes—
887#431C2312yes—
888#431C2312yes—
889#431C2312yes—
890#428C2314yes—
891#428C2314yes—
892#428C2312yes—
893#428C2312yes—
894#428C2312yes—
895#428C2312yes—
896#428C2314yes—
897#428C2314yes—
898#428C2314yes—
899#428C2314yes—
900#427C2314yes—
901#427C2314yes—
902C2×#107C2314yes—
903C2×#106C2314yes—
904#424C2314yes—
905#424C2314yes—
906#423C2311yescharacteristic
907#423C2311yescharacteristic
908#423C2311yescharacteristic
909#423C2311yescharacteristic
910#419C2314yes—
911#419C2314yes—
912#419C2314yes—
913#419C2314yes—
914#417C2312yes—
915#417C2314yes—
916#417C2312yes—
917#417C2314yes—
918#417C2312yes—
919#417C2312yes—
920#416C2314yes—
921#416C2314yes—
922C2×#103C2314yes—
923C2×#103C2314yes—
924#407C2311yescharacteristic
925#407C2311yescharacteristic
926#407C2314yes—
927#407C2312yes—
928C2×C22⋊C8C2314yes—
929#405C2314yes—
930#405C2314yes—
931C4×M16C2312yes—
932C4×M16C2311yescharacteristic
933C4×M16C2311yescharacteristic
934C2×#41—24no—
935C2×#41—22no—
936C2×#41—24no—
937C2×#41—21no—
938C2×#41—21no—
939C2×#41—21no—
940C2×#41—21no—
941C2×#41C2412yes—
942C2×#41C2412yes—
943C2×#41C2414yes—
944C22×Q8—22no—
945C22×Q8—21no—
946C22×Q8—21no—
947C22×Q8—21no—
948C22×Q8C2×D411yescharacteristic
949C22×Q8C2412yes—
950C22×Q8C2414yes—
951C22×D4C2×D411yescharacteristic
952C22×D4C2×D412yes—
953C23×C4C2×D411yescharacteristic
954C23×C4C2×D411yescharacteristic
955C23×C4C2412yes—
956C23×C4C2411yescharacteristic
957C2×Q16C2412yes—
958C2×Q16C2412yes—
959C2×Q16C2412yes—
960C2×Q16C2414yes—
961C2×Q16C2412yes—
962C2×SD16C2412yes—
963C2×SD16C2412yes—
964C2×SD16C2412yes—
965C2×SD16C2414yes—
966C2×SD16C2412yes—
967C2×SD16C2414yes—
968C2×D8C2414yes—
969C2×M16C2411yescharacteristic
970C2×M16C2411yescharacteristic
971C2×M16C2411yescharacteristic
972C2×M16C2411yescharacteristic
973C2×M16C2412yes—
974C2×M16C2412yes—
975C2×M16C2414yes—
976C2×M16C2414yes—
977C22×C8C2414yes—
978C22×C8C2414yes—
979C4⋊Q8—22no—
980C4⋊Q8—22no—
981C4⋊Q8—24no—
982C4⋊Q8—22no—
983C4⋊Q8—24no—
984C4⋊Q8—24no—
985C4⋊Q8—24no—
986C4⋊Q8—22no—
987C4⋊Q8—22no—
988C4⋊Q8—22no—
989C4⋊Q8—22no—
990C4⋊Q8—24no—
991C4⋊Q8—24no—
992C4⋊Q8—24no—
993C4⋊Q8—24no—
994C4⋊Q8—24no—
995C4⋊Q8—24no—
996C4⋊Q8—21no—
997C4⋊Q8—21no—
998C4⋊Q8—21no—
999C4⋊Q8—21no—
1000C4⋊Q8—21no—
1001C4⋊Q8—21no—
1002C4⋊Q8—21no—
1003C4⋊Q8—21no—
1004C4⋊Q8C2412yes—
1005C4⋊Q8C2411yescharacteristic
1006C4⋊Q8C2411yescharacteristic
1007C4⋊Q8C2411yescharacteristic
1008C4⋊Q8C2411yescharacteristic
1009C4⋊Q8C2414yes—
1010C4⋊Q8C2412yes—
1011C4⋊Q8C2412yes—
1012C4⋊Q8C2412yes—
1013C4⋊Q8C2412yes—
1014C4⋊Q8C2411yescharacteristic
1015C4⋊Q8C2412yes—
1016C4⋊Q8C2411yescharacteristic
1017C4⋊Q8C2411yescharacteristic
1018C4⋊Q8C2411yescharacteristic
1019C4⋊Q8C2411yescharacteristic
1020C4⋊Q8C2411yescharacteristic
1021C4⋊Q8C2414yes—
1022C4⋊Q8C2414yes—
1023C4⋊Q8C2414yes—
1024#127—22no—
1025#127C2411yescharacteristic
1026#127C2411yescharacteristic
1027#126—24no—
1028#126—24no—
1029#126—24no—
1030#126—24no—
1031#126—24no—
1032#126—24no—
1033#126—24no—
1034#126—24no—
1035#126—24no—
1036#126—24no—
1037#126—24no—
1038#126—24no—
1039#126—24no—
1040#126—24no—
1041#126—24no—
1042#126—24no—
1043#126—24no—
1044#126—24no—
1045#126—24no—
1046#126—24no—
1047#126—24no—
1048#126—24no—
1049#126—24no—
1050#126—24no—
1051#126—24no—
1052#126—22no—
1053#126—22no—
1054#126—22no—
1055#126—22no—
1056#126—24no—
1057#126C2×D414yes—
1058#126C2×D414yes—
1059#126C2×D414yes—
1060#126C2×D414yes—
1061#125—24no—
1062#125—24no—
1063#125—22no—
1064#125—22no—
1065#125—24no—
1066#125—24no—
1067#125—22no—
1068#125—24no—
1069#125—24no—
1070#125—22no—
1071#125—24no—
1072#125—24no—
1073#125—22no—
1074#125—24no—
1075#125—24no—
1076#125—24no—
1077#125—24no—
1078#125—24no—
1079#125—24no—
1080#125—24no—
1081#125—24no—
1082#125—24no—
1083#125—24no—
1084#125—24no—
1085#125—24no—
1086#125—24no—
1087#125—24no—
1088#125—24no—
1089#125—21no—
1090#125—21no—
1091#125—22no—
1092#125—22no—
1093#125—21no—
1094#125—21no—
1095#125—22no—
1096#125—22no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125—21no—
1101#125—24no—
1102#125C2×D412yes—
1103#125C2×D412yes—
1104#125C2×D412yes—
1105#125C2×D412yes—
1106#125C2414yes—
1107#125C2414yes—
1108#125C2412yes—
1109#125C2412yes—
1110#125C2414yes—
1111#125C2414yes—
1112#125C2414yes—
1113#124—22no—
1114#124—22no—
1115#124—22no—
1116#124—24no—
1117#124—24no—
1118#124—24no—
1119#124—24no—
1120#124—24no—
1121#124—24no—
1122#124—24no—
1123#124—24no—
1124#124—24no—
1125#124—24no—
1126#124—24no—
1127#124—24no—
1128#124—21no—
1129#124—21no—
1130#124—21no—
1131#124—21no—
1132#124C2×D412yes—
1133#124C2×D412yes—
1134#124C2×D412yes—
1135#124C2×D412yes—
1136#124C2412yes—
1137#124C2412yes—
1138#124C2414yes—
1139#123—24no—
1140#123—24no—
1141#123—24no—
1142#123—24no—
1143#123—24no—
1144#123—22no—
1145#123—22no—
1146#123—22no—
1147#123—22no—
1148#123—22no—
1149#123—22no—
1150#123—24no—
1151#123—24no—
1152#123—24no—
1153#123—24no—
1154#123—24no—
1155#123—24no—
1156#123—24no—
1157#123—24no—
1158#123—24no—
1159#123—24no—
1160#123—24no—
1161#123—24no—
1162#123—24no—
1163#123—24no—
1164#123—24no—
1165#123—24no—
1166#123—24no—
1167#123—24no—
1168#123—24no—
1169#123—24no—
1170#123—24no—
1171#123—24no—
1172#123—24no—
1173#123C2×D414yes—
1174#123C2×D414yes—
1175#123C2×D414yes—
1176#123C2×D414yes—
1177C22⋊Q8—22no—
1178C22⋊Q8—22no—
1179C22⋊Q8—22no—
1180C22⋊Q8—24no—
1181C22⋊Q8—22no—
1182C22⋊Q8—21no—
1183C22⋊Q8—22no—
1184C22⋊Q8—22no—
1185C22⋊Q8—21no—
1186C22⋊Q8—22no—
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—22no—
1190C22⋊Q8—22no—
1191C22⋊Q8—22no—
1192C22⋊Q8—22no—
1193C22⋊Q8—22no—
1194C22⋊Q8—22no—
1195C22⋊Q8—22no—
1196C22⋊Q8—22no—
1197C22⋊Q8—24no—
1198C22⋊Q8—24no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—24no—
1208C22⋊Q8—24no—
1209C22⋊Q8—24no—
1210C22⋊Q8—24no—
1211C22⋊Q8—22no—
1212C22⋊Q8—24no—
1213C22⋊Q8—24no—
1214C22⋊Q8—24no—
1215C22⋊Q8—22no—
1216C22⋊Q8—24no—
1217C22⋊Q8—24no—
1218C22⋊Q8—24no—
1219C22⋊Q8—24no—
1220C22⋊Q8—24no—
1221C22⋊Q8—24no—
1222C22⋊Q8—24no—
1223C22⋊Q8—24no—
1224C22⋊Q8—24no—
1225C22⋊Q8—24no—
1226C22⋊Q8—24no—
1227C22⋊Q8—24no—
1228C22⋊Q8—24no—
1229C22⋊Q8—24no—
1230C22⋊Q8—24no—
1231C22⋊Q8—24no—
1232C22⋊Q8—24no—
1233C22⋊Q8—24no—
1234C22⋊Q8—24no—
1235C22⋊Q8—24no—
1236C22⋊Q8—24no—
1237C22⋊Q8—24no—
1238C22⋊Q8—24no—
1239C22⋊Q8—24no—
1240C22⋊Q8—24no—
1241C22⋊Q8—24no—
1242C22⋊Q8—24no—
1243C22⋊Q8—24no—
1244C22⋊Q8—24no—
1245C22⋊Q8—24no—
1246C22⋊Q8C2×D412yes—
1247C22⋊Q8C2×D412yes—
1248C22⋊Q8C2×D412yes—
1249C22⋊Q8C2×D412yes—
1250C22⋊Q8C2412yes—
1251C22⋊Q8C2412yes—
1252C22⋊Q8C2412yes—
1253C22⋊Q8C2412yes—
1254C22⋊Q8C2412yes—
1255C22⋊Q8C2414yes—
1256C22⋊Q8C2414yes—
1257C22⋊Q8C2412yes—
1258C22⋊Q8C2412yes—
1259C22⋊Q8C2412yes—
1260C22⋊Q8C2414yes—
1261C22⋊Q8C2414yes—
1262C22⋊Q8C2414yes—
1263#121—22no—
1264#121—22no—
1265#121—24no—
1266#121—24no—
1267#121—22no—
1268#121—24no—
1269#121—24no—
1270#121—24no—
1271#121—24no—
1272#121—24no—
1273#121—21no—
1274#121—21no—
1275#121—21no—
1276#121—21no—
1277#121—21no—
1278#121—21no—
1279#121—21no—
1280#121—21no—
1281#121—24no—
1282#121—24no—
1283#121—24no—
1284#121C2×D412yes—
1285#121C2×D412yes—
1286#121C2×D412yes—
1287#121C2×D412yes—
1288#121C2412yes—
1289#121C2412yes—
1290#121C2412yes—
1291#121C2412yes—
1292#121C2414yes—
1293#121C2414yes—
1294#121C2414yes—
1295#120—22no—
1296#120—22no—
1297#120—24no—
1298#120—24no—
1299C4×Q8—22no—
1300C4×Q8—22no—
1301C4×Q8—22no—
1302C4×Q8—22no—
1303C4×Q8—22no—
1304C4×Q8—22no—
1305C4×Q8—24no—
1306C4×Q8—22no—
1307C4×Q8—24no—
1308C4×Q8—24no—
1309C4×Q8—24no—
1310C4×Q8—22no—
1311C4×Q8—24no—
1312C4×Q8—22no—
1313C4×Q8—22no—
1314C4×Q8—24no—
1315C4×Q8—22no—
1316C4×Q8—22no—
1317C4×Q8—22no—
1318C4×Q8—22no—
1319C4×Q8—22no—
1320C4×Q8—22no—
1321C4×Q8—21no—
1322C4×Q8—22no—
1323C4×Q8—22no—
1324C4×Q8—21no—
1325C4×Q8—22no—
1326C4×Q8—21no—
1327C4×Q8—21no—
1328C4×Q8—22no—
1329C4×Q8—22no—
1330C4×Q8—24no—
1331C4×Q8—21no—
1332C4×Q8—21no—
1333C4×Q8—21no—
1334C4×Q8—21no—
1335C4×Q8—21no—
1336C4×Q8—21no—
1337C4×Q8—21no—
1338C4×Q8—21no—
1339C4×Q8—24no—
1340C4×Q8C2×D412yes—
1341C4×Q8C2×D412yes—
1342C4×Q8C2412yes—
1343C4×Q8C2412yes—
1344C4×Q8C2412yes—
1345C4×Q8C2412yes—
1346C4×Q8C2412yes—
1347C4×Q8C2412yes—
1348C4×Q8C2412yes—
1349C4×Q8C2412yes—
1350C4×Q8C2414yes—
1351C4×Q8C2414yes—
1352C4×Q8C2414yes—
1353C4×Q8C2414yes—
1354C4×Q8C2414yes—
1355C4×Q8C2412yes—
1356C4×Q8C2412yes—
1357C4×D4—24no—
1358C4×D4—22no—
1359C4×D4—22no—
1360C4×D4—22no—
1361C4×D4—22no—
1362C4×D4—22no—
1363C4×D4—24no—
1364C4×D4—22no—
1365C4×D4—22no—
1366C4×D4—22no—
1367C4×D4—22no—
1368C4×D4—22no—
1369C4×D4—22no—
1370C4×D4—24no—
1371C4×D4—24no—
1372C4×D4—22no—
1373C4×D4—22no—
1374C4×D4—22no—
1375C4×D4—22no—
1376C4×D4—22no—
1377C4×D4—22no—
1378C4×D4—24no—
1379C4×D4—24no—
1380C4×D4—24no—
1381C4×D4—24no—
1382C4×D4—24no—
1383C4×D4—22no—
1384C4×D4—22no—
1385C4×D4—24no—
1386C4×D4—24no—
1387C4×D4—24no—
1388C4×D4—24no—
1389C4×D4—24no—
1390C4×D4—24no—
1391C4×D4—24no—
1392C4×D4—21no—
1393C4×D4—21no—
1394C4×D4—21no—
1395C4×D4—21no—
1396C4×D4—21no—
1397C4×D4—21no—
1398C4×D4—21no—
1399C4×D4—21no—
1400C4×D4C2×D414yes—
1401C4×D4C2×D412yes—
1402C4×D4C2×D414yes—
1403C4×D4C2×D412yes—
1404C4×D4C2412yes—
1405C4×D4C2412yes—
1406C4×D4C2412yes—
1407C4×D4C2412yes—
1408C4×D4C2414yes—
1409C4×D4C2414yes—
1410C4×D4C2414yes—
1411C4×D4C2414yes—
1412C4×D4C2414yes—
1413C4×D4C2412yes—
1414C4×D4C2412yes—
1415#117—21no—
1416#117—21no—
1417#117—22no—
1418#117—22no—
1419#117—21no—
1420#117—21no—
1421#117—24no—
1422#117—22no—
1423#117—22no—
1424#117—24no—
1425#117—21no—
1426#117—21no—
1427#117—21no—
1428#117—21no—
1429#117—24no—
1430#117—22no—
1431#117—24no—
1432#117—22no—
1433#117—22no—
1434#117—24no—
1435#117—24no—
1436#117—24no—
1437#117—24no—
1438#117—24no—
1439#117—24no—
1440#117—24no—
1441#117—24no—
1442#117—22no—
1443#117—22no—
1444#117—22no—
1445#117—22no—
1446#117—24no—
1447#117—22no—
1448#117—22no—
1449#117—24no—
1450#117C2×D414yes—
1451#117C2×D414yes—
1452#117C2412yes—
1453#117C2414yes—
1454#117C2414yes—
1455#117C2414yes—
1456#117C2414yes—
1457#117C2412yes—
1458#117C2414yes—
1459#117C2414yes—
1460#117C2414yes—
1461C2×C4⋊C4—21no—
1462C2×C4⋊C4—21no—
1463C2×C4⋊C4—22no—
1464C2×C4⋊C4—22no—
1465C2×C4⋊C4—22no—
1466C2×C4⋊C4—21no—
1467C2×C4⋊C4—21no—
1468C2×C4⋊C4—21no—
1469C2×C4⋊C4—22no—
1470C2×C4⋊C4—24no—
1471C2×C4⋊C4—22no—
1472C2×C4⋊C4—24no—
1473C2×C4⋊C4—24no—
1474C2×C4⋊C4—22no—
1475C2×C4⋊C4—22no—
1476C2×C4⋊C4—24no—
1477C2×C4⋊C4C2×D412yes—
1478C2×C4⋊C4C2×D412yes—
1479C2×C4⋊C4C2×D411yescharacteristic
1480C2×C4⋊C4C2×D412yes—
1481C2×C4⋊C4C2×D411yescharacteristic
1482C2×C4⋊C4C2×D412yes—
1483C2×C4⋊C4C2412yes—
1484C2×C4⋊C4C2412yes—
1485C2×C4⋊C4C2414yes—
1486C2×C4⋊C4C2414yes—
1487C2×C4⋊C4C2412yes—
1488C2×C4⋊C4C2414yes—
1489C2×C22⋊C4—22no—
1490C2×C22⋊C4—22no—
1491C2×C22⋊C4—24no—
1492C2×C22⋊C4—24no—
1493C2×C22⋊C4C2×D412yes—
1494C2×C22⋊C4C2×D412yes—
1495C2×C22⋊C4C2×D412yes—
1496C2×C22⋊C4C2×D412yes—
1497C2×C22⋊C4C2×D412yes—
1498C2×C42—22no—
1499C2×C42—22no—
1500C2×C42—24no—
1501C2×C42—22no—
1502C2×C42—24no—
1503C2×C42—22no—
1504C2×C42C2×D411yescharacteristic
1505C2×C42C2×D411yescharacteristic
1506C2×C42C2×D411yescharacteristic
1507C2×C42C2×D411yescharacteristic
1508C2×C42C2×D411yescharacteristic
1509C2×C42C2×D411yescharacteristic
1510C2×C42C2411yescharacteristic
1511C2×C42C2412yes—
1512C2×C42C2411yescharacteristic
1513C2×C42C2411yescharacteristic
1514C2×C42C2411yescharacteristic
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517#107C2412yes—
1518#107C2414yes—
1519#107C2414yes—
1520#107C2414yes—
1521#107C2412yes—
1522#107C2414yes—
1523#107C2414yes—
1524#107C2414yes—
1525#107C2414yes—
1526#107C2414yes—
1527#107C2412yes—
1528#107C2412yes—
1529#107C2414yes—
1530#107C2414yes—
1531#106C2412yes—
1532#106C2414yes—
1533#106C2414yes—
1534#106C2414yes—
1535#106C2412yes—
1536#106C2414yes—
1537#106C2414yes—
1538#106C2414yes—
1539#106C2414yes—
1540#106C2414yes—
1541#106C2412yes—
1542#106C2412yes—
1543#106C2414yes—
1544#106C2414yes—
1545C4⋊C8C2412yes—
1546C4⋊C8C2412yes—
1547C4⋊C8C2412yes—
1548C4⋊C8C2412yes—
1549C4⋊C8C2412yes—
1550C4⋊C8C2412yes—
1551C4⋊C8C2412yes—
1552C4⋊C8C2412yes—
1553C4⋊C8C2414yes—
1554C4⋊C8C2414yes—
1555C4⋊C8C2414yes—
1556C4⋊C8C2414yes—
1557#103C2412yes—
1558#103C2412yes—
1559#103C2414yes—
1560#103C2414yes—
1561#103C2414yes—
1562#103C2414yes—
1563#103C2414yes—
1564#103C2414yes—
1565#103C2412yes—
1566#103C2412yes—
1567#103C2414yes—
1568#103C2414yes—
1569#103C2412yes—
1570#103C2412yes—
1571#103C2414yes—
1572#103C2414yes—
1573#103C2414yes—
1574#103C2414yes—
1575#103C2412yes—
1576#103C2414yes—
1577#103C2412yes—
1578#103C2414yes—
1579#103C2412yes—
1580#103C2412yes—
1581#103C2412yes—
1582#103C2414yes—
1583#103C2414yes—
1584#103C2412yes—
1585#102C2414yes—
1586#102C2414yes—
1587#102C2414yes—
1588#102C2414yes—
1589#102C2414yes—
1590#102C2414yes—
1591#102C2412yes—
1592#102C2412yes—
1593#102C2414yes—
1594#102C2412yes—
1595#102C2414yes—
1596#102C2412yes—
1597C22⋊C8C2412yes—
1598C22⋊C8C2414yes—
1599C22⋊C8C2414yes—
1600C22⋊C8C2414yes—
1601C22⋊C8C2412yes—
1602C22⋊C8C2412yes—
1603C22⋊C8C2414yes—
1604C22⋊C8C2412yes—
1605C22⋊C8C2414yes—
1606C22⋊C8C2414yes—
1607#97C2412yes—
1608#97C2412yes—
1609#97C2414yes—
1610#97C2414yes—
1611#97C2414yes—
1612C4×C8C2414yes—
1613C4×C8C2412yes—
1614C4×C8C2412yes—
1615C4×C8C2414yes—
1616C4×C8C2414yes—
1617C24C22×D412yes—
1618C24C22×D411yescharacteristic
1619#41—42no—
1620#41—42no—
1621#41—44no—
1622#41—44no—
1623#41—44no—
1624#41—42no—
1625#41—42no—
1626#41—82no—
1627#41—84no—
1628#41—82no—
1629#41—82no—
1630#41—88no—
1631#41—88no—
1632C2×Q8—21no—
1633C2×Q8—22no—
1634C2×Q8—21no—
1635C2×Q8—24no—
1636C2×Q8—22no—
1637C2×Q8—22no—
1638C2×Q8—24no—
1639C2×Q8—22no—
1640C2×Q8—22no—
1641C2×Q8—22no—
1642C2×Q8—21no—
1643C2×Q8—21no—
1644C2×Q8—24no—
1645C2×Q8—21no—
1646C2×Q8—24no—
1647C2×Q8—21no—
1648C2×Q8—42no—
1649C2×Q8—44no—
1650C2×Q8—44no—
1651C2×Q8—42no—
1652C2×Q8—42no—
1653C2×Q8—82no—
1654C2×Q8—82no—
1655C2×Q8—82no—
1656C2×Q8—84no—
1657C2×Q8C22×D412yes—
1658C2×Q8C22×D412yes—
1659C2×Q8C2512yes—
1660C2×Q8C2512yes—
1661C2×Q8C2512yes—
1662C2×Q8C2512yes—
1663C2×D4—22no—
1664C2×D4—22no—
1665C2×D4—22no—
1666C2×D4—22no—
1667C2×D4—22no—
1668C2×D4—24no—
1669C2×D4—24no—
1670C2×D4—22no—
1671C2×D4—24no—
1672C2×D4—24no—
1673C2×D4—21no—
1674C2×D4—21no—
1675C2×D4—21no—
1676C2×D4—21no—
1677C2×D4—42no—
1678C2×D4—82no—
1679C2×D4C22×D412yes—
1680C2×D4C22×D412yes—
1681C2×D4C22×D414yes—
1682C2×D4C22×D414yes—
1683C2×D4C2512yes—
1684C2×D4C2512yes—
1685C22×C4—22no—
1686C22×C4—22no—
1687C22×C4—22no—
1688C22×C4—22no—
1689C22×C4—24no—
1690C22×C4—24no—
1691C22×C4—24no—
1692C22×C4—24no—
1693C22×C4—22no—
1694C22×C4—22no—
1695C22×C4—22no—
1696C22×C4—22no—
1697C22×C4—22no—
1698C22×C4—22no—
1699C22×C4—24no—
1700C22×C4—24no—
1701C22×C4—24no—
1702C22×C4—24no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—41no—
1707C22×C4—41no—
1708C22×C4—81no—
1709C22×C4C22×D411yescharacteristic
1710C22×C4C22×D411yescharacteristic
1711C22×C4C22×D411yescharacteristic
1712C22×C4C22×D411yescharacteristic
1713C22×C4C22×D414yes—
1714C22×C4C22×D411yescharacteristic
1715C22×C4C22×D411yescharacteristic
1716C22×C4C22×D411yescharacteristic
1717C22×C4C22×D411yescharacteristic
1718C22×C4C22×D411yescharacteristic
1719C22×C4C22×D411yescharacteristic
1720C22×C4C22×D411yescharacteristic
1721C22×C4C22×D411yescharacteristic
1722C22×C4C22×D411yescharacteristic
1723C22×C4C22×D411yescharacteristic
1724C22×C4C22×D411yescharacteristic
1725C22×C4C22×D412yes—
1726C22×C4C22×D412yes—
1727C22×C4C22×D412yes—
1728C22×C4C2511yescharacteristic
1729C22×C4C2511yescharacteristic
1730C22×C4C2511yescharacteristic
1731C22×C4C2514yes—
1732Q16—42no—
1733Q16—42no—
1734Q16—44no—
1735Q16—42no—
1736Q16—42no—
1737SD16—42no—
1738SD16—42no—
1739SD16—44no—
1740SD16—44no—
1741SD16—42no—
1742SD16—42no—
1743D8—44no—
1744M16—41no—
1745M16—41no—
1746M16—42no—
1747M16—44no—
1748M16—42no—
1749M16—44no—
1750M16—41no—
1751M16—41no—
1752C2×C8—44no—
1753C2×C8—44no—
1754C2×C8C2512yes—
1755C2×C8C2512yes—
1756C2×C8C2514yes—
1757C2×C8C2514yes—
1758C2×C8C2512yes—
1759C2×C8C2512yes—
1760C4⋊C4—21no—
1761C4⋊C4—21no—
1762C4⋊C4—22no—
1763C4⋊C4—22no—
1764C4⋊C4—22no—
1765C4⋊C4—22no—
1766C4⋊C4—24no—
1767C4⋊C4—22no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—21no—
1771C4⋊C4—21no—
1772C4⋊C4—22no—
1773C4⋊C4—22no—
1774C4⋊C4—22no—
1775C4⋊C4—22no—
1776C4⋊C4—22no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—24no—
1787C4⋊C4—21no—
1788C4⋊C4—22no—
1789C4⋊C4—24no—
1790C4⋊C4—22no—
1791C4⋊C4—22no—
1792C4⋊C4—22no—
1793C4⋊C4—21no—
1794C4⋊C4—22no—
1795C4⋊C4—22no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—22no—
1799C4⋊C4—22no—
1800C4⋊C4—22no—
1801C4⋊C4—22no—
1802C4⋊C4—22no—
1803C4⋊C4—24no—
1804C4⋊C4—21no—
1805C4⋊C4—21no—
1806C4⋊C4—21no—
1807C4⋊C4—21no—
1808C4⋊C4—21no—
1809C4⋊C4—24no—
1810C4⋊C4—21no—
1811C4⋊C4—21no—
1812C4⋊C4—21no—
1813C4⋊C4—24no—
1814C4⋊C4—24no—
1815C4⋊C4—22no—
1816C4⋊C4—22no—
1817C4⋊C4—22no—
1818C4⋊C4—22no—
1819C4⋊C4—24no—
1820C4⋊C4—24no—
1821C4⋊C4—22no—
1822C4⋊C4—22no—
1823C4⋊C4—22no—
1824C4⋊C4—24no—
1825C4⋊C4—22no—
1826C4⋊C4—22no—
1827C4⋊C4—24no—
1828C4⋊C4—24no—
1829C4⋊C4—24no—
1830C4⋊C4—24no—
1831C4⋊C4—24no—
1832C4⋊C4C22×D412yes—
1833C4⋊C4C22×D412yes—
1834C4⋊C4C22×D414yes—
1835C4⋊C4C22×D412yes—
1836C4⋊C4C22×D414yes—
1837C4⋊C4C22×D414yes—
1838C4⋊C4C22×D414yes—
1839C4⋊C4C22×D412yes—
1840C4⋊C4C22×D414yes—
1841C4⋊C4C22×D414yes—
1842C4⋊C4C22×D414yes—
1843C4⋊C4C22×D414yes—
1844C4⋊C4C2512yes—
1845C4⋊C4C2514yes—
1846C4⋊C4C2514yes—
1847C4⋊C4C2512yes—
1848C4⋊C4C2512yes—
1849C4⋊C4C2512yes—
1850C4⋊C4C2512yes—
1851C4⋊C4C2512yes—
1852C22⋊C4—22no—
1853C22⋊C4—22no—
1854C22⋊C4—24no—
1855C22⋊C4—22no—
1856C22⋊C4—22no—
1857C22⋊C4—22no—
1858C22⋊C4—22no—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—24no—
1864C22⋊C4—22no—
1865C22⋊C4—22no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—22no—
1871C22⋊C4—22no—
1872C22⋊C4—22no—
1873C22⋊C4—22no—
1874C22⋊C4—22no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—22no—
1878C22⋊C4—22no—
1879C22⋊C4—22no—
1880C22⋊C4—22no—
1881C22⋊C4—22no—
1882C22⋊C4—24no—
1883C22⋊C4—24no—
1884C22⋊C4—22no—
1885C22⋊C4—24no—
1886C22⋊C4—22no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—22no—
1890C22⋊C4—22no—
1891C22⋊C4—24no—
1892C22⋊C4C22×D414yes—
1893C22⋊C4C22×D414yes—
1894C22⋊C4C22×D414yes—
1895C22⋊C4C22×D414yes—
1896C22⋊C4C22×D414yes—
1897C22⋊C4C22×D414yes—
1898C22⋊C4C22×D414yes—
1899C22⋊C4C22×D414yes—
1900C22⋊C4C22×D414yes—
1901C22⋊C4C22×D414yes—
1902C42—24no—
1903C42—22no—
1904C42—24no—
1905C42—22no—
1906C42—22no—
1907C42—22no—
1908C42—22no—
1909C42—22no—
1910C42—24no—
1911C42—22no—
1912C42—22no—
1913C42—22no—
1914C42—22no—
1915C42—24no—
1916C42—24no—
1917C42—24no—
1918C42—24no—
1919C42—24no—
1920C42—24no—
1921C42—24no—
1922C42C22×D411yescharacteristic
1923C42C22×D411yescharacteristic
1924C42C22×D414yes—
1925C42C22×D411yescharacteristic
1926C42C22×D411yescharacteristic
1927C42C22×D411yescharacteristic
1928C42C22×D411yescharacteristic
1929C42C22×D411yescharacteristic
1930C42C22×D411yescharacteristic
1931C42C22×D411yescharacteristic
1932C42C22×D411yescharacteristic
1933C42C22×D411yescharacteristic
1934C42C22×D411yescharacteristic
1935C42C2511yescharacteristic
1936C42C2511yescharacteristic
1937C42C2514yes—
1938C42C2511yescharacteristic
1939C42C2511yescharacteristic
1940C23—22no—
1941C23—22no—
1942C23—41no—
1943C23—41no—
1944C23—41no—
1945C23—42no—
1946C23—42no—
1947C23—42no—
1948C23C23×D411yescharacteristic
1949C23C23×D414yes—
1950C23C23×D411yescharacteristic
1951C23C23×D411yescharacteristic
1952Q8—24no—
1953Q8—22no—
1954Q8—22no—
1955Q8—22no—
1956Q8—22no—
1957Q8—22no—
1958Q8—22no—
1959Q8—22no—
1960Q8—22no—
1961Q8—42no—
1962Q8—44no—
1963Q8—42no—
1964Q8—84no—
1965Q8—82no—
1966Q8—82no—
1967Q8—84no—
1968Q8—81no—
1969Q8—81no—
1970Q8—82no—
1971Q8—82no—
1972Q8—82no—
1973Q8—81no—
1974Q8—81no—
1975Q8—81no—
1976Q8—84no—
1977Q8—84no—
1978D4—24no—
1979D4—22no—
1980D4—22no—
1981D4—22no—
1982D4—22no—
1983D4—42no—
1984D4—44no—
1985D4—44no—
1986D4—44no—
1987D4—44no—
1988D4—44no—
1989D4—44no—
1990D4—42no—
1991D4—81no—
1992D4—81no—
1993D4—81no—
1994D4—84no—
1995D4—82no—
1996D4—82no—
1997D4—84no—
1998D4—84no—
1999D4—84no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—24no—
2004C2×C4—24no—
2005C2×C4—21no—
2006C2×C4—21no—
2007C2×C4—21no—
2008C2×C4—21no—
2009C2×C4—21no—
2010C2×C4—21no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—24no—
2018C2×C4—24no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—41no—
2024C2×C4—41no—
2025C2×C4—41no—
2026C2×C4—41no—
2027C2×C4—44no—
2028C2×C4—41no—
2029C2×C4—41no—
2030C2×C4—42no—
2031C2×C4—41no—
2032C2×C4—41no—
2033C2×C4—41no—
2034C2×C4—41no—
2035C2×C4—41no—
2036C2×C4—41no—
2037C2×C4—42no—
2038C2×C4—42no—
2039C2×C4—44no—
2040C2×C4—44no—
2041C2×C4—44no—
2042C2×C4—44no—
2043C2×C4—44no—
2044C2×C4—84no—
2045C2×C4—82no—
2046C2×C4—84no—
2047C2×C4—82no—
2048C2×C4—82no—
2049C2×C4—84no—
2050C2×C4—84no—
2051C2×C4—82no—
2052C2×C4—84no—
2053C2×C4—82no—
2054C2×C4—84no—
2055C2×C4—84no—
2056C2×C4—84no—
2057C2×C4C23×D411yescharacteristic
2058C2×C4C23×D411yescharacteristic
2059C2×C4C23×D411yescharacteristic
2060C2×C4C23×D414yes—
2061C2×C4C23×D414yes—
2062C2×C4C23×D411yescharacteristic
2063C2×C4C23×D411yescharacteristic
2064C2×C4C23×D411yescharacteristic
2065C2×C4C23×D411yescharacteristic
2066C2×C4C23×D414yes—
2067C2×C4C23×D411yescharacteristic
2068C2×C4C23×D411yescharacteristic
2069C2×C4C23×D411yescharacteristic
2070C2×C4C23×D411yescharacteristic
2071C2×C4C2611yescharacteristic
2072C8—22no—
2073C8—22no—
2074C8—24no—
2075C8—24no—
2076C8—22no—
2077C8—22no—
2078C22—21no—
2079C22—21no—
2080C22—21no—
2081C22—24no—
2082C22—21no—
2083C22—21no—
2084C22—21no—
2085C22—24no—
2086C22—21no—
2087C22—21no—
2088C22—24no—
2089C22—21no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22—82no—
2097C22—162no—
2098C22C24×D411yescharacteristic
2099C4—21no—
2100C4—21no—
2101C4—21no—
2102C4—24no—
2103C4—21no—
2104C4—21no—
2105C4—21no—
2106C4—21no—
2107C4—24no—
2108C4—21no—
2109C4—21no—
2110C4—24no—
2111C4—21no—
2112C4—42no—
2113C4—42no—
2114C4—44no—
2115C4—42no—
2116C4—44no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—42no—
2123C4—42no—
2124C4#358612yes—
2125C42−1+611yescharacteristic
2126C42−1+611yescharacteristic
2127C2—41no—
2128C2—41no—
2129C2—41no—
2130C2—44no—
2131C2—82no—
2132C2—82no—
2133C2#6285911yescharacteristic
2134C2C2×#358611yescharacteristic
2135C2#6309011yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×#529 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62831C2semidirect
2. #62752C2semidirect
3. #62619C2semidirect
4. #62616C2semidirect
5. #62565C2semidirect
6. #62522C2semidirect
7. #62519C2semidirect
8. #62497C2semidirect
9. #62240C2semidirect
10. #62239C2semidirect
11. #62238C2semidirect
12. #62237C2semidirect
13. #62194C2semidirect
14. #62193C2semidirect
15. #62192C2semidirect
16. #62191C2semidirect
17. #61846C2semidirect
18. #61845C2semidirect
19. #61743C2semidirect
20. #61742C2semidirect
21. #61724C2semidirect
22. #61715C2semidirect
23. #60984C2semidirect
24. #60967C2semidirect
25. #60952C2semidirect
26. #60876C2semidirect
27. #60865C2semidirect
28. #60862C2semidirect
29. #60289C2semidirect
81. #3389C22semidirect
82. #3388C22semidirect
83. #3387C22semidirect
84. #3387C22semidirect
85. #3387C22semidirect
86. #3386C22semidirect
87. #3385C22semidirect
88. #3385C22semidirect
89. #3383C22semidirect
90. Q8×Q16C22semidirect
91. #3381C22semidirect
92. Q8×SD16C22semidirect
93. #3377C22semidirect
94. #3376C22semidirect
95. #3375C22semidirect
96. #3374C22semidirect
97. #3374C22semidirect
98. #3373C22semidirect
99. #3372C22semidirect
100. #3372C22semidirect
101. #3365C22semidirect
102. #3363C22semidirect
103. #3361C22semidirect
104. #3359C22semidirect
105. #3357C22semidirect
106. #3356C22semidirect
107. #3356C22semidirect
108. #3356C22semidirect
109. #3354C22semidirect
110. #3353C22semidirect
111. #3353C22semidirect
112. #3353C22semidirect
113. #3352C22semidirect
114. #3352C22semidirect
115. #3351C22semidirect
116. #3351C22semidirect
117. #3350C22semidirect
118. #3349C22semidirect
119. #3349C22semidirect
120. #3348C22semidirect
121. #3348C22semidirect
122. #3347C22semidirect
123. #3346C22semidirect
124. #3345C22semidirect
125. #3344C22semidirect
126. #3344C22semidirect
127. #3343C22semidirect
128. #3343C22semidirect
129. #3342C22semidirect
130. #3340C22semidirect
131. #3338C22semidirect
132. #3335C22semidirect
133. #3333C22semidirect
134. #3332C22semidirect
135. #3331C22semidirect
136. #3330C22semidirect
137. #3329C22semidirect
138. #3329C22semidirect
139. #3328C22semidirect
140. #3328C22semidirect
141. #3327C22semidirect
142. #3327C22semidirect
143. #3326C22semidirect
144. #3326C22semidirect
145. #3321C22semidirect
146. #3320C22semidirect
147. #3320C22semidirect
148. #3316C22semidirect
149. #3315C22semidirect
150. #3315C22semidirect
151. #3313C22semidirect
152. #3312C22semidirect
153. #3312C22semidirect
154. #3308C22semidirect
155. #3307C22semidirect
156. #3307C22semidirect
157. #3305C22semidirect
158. #3304C22semidirect
159. #3299C22semidirect
160. #3298C22semidirect
161. #3261C22semidirect
162. #3260C22semidirect
163. #3258C22semidirect
164. #3257C22semidirect
165. #3255C22semidirect
166. #3255C22semidirect
167. #3255C22semidirect
168. #3254C22semidirect
169. #3254C22semidirect
170. #3254C22semidirect
171. #3254C22semidirect
172. #3253C22semidirect
173. #3244C22semidirect
174. #3244C22semidirect
175. #3244C22semidirect
176. #3243C22semidirect
177. #3243C22semidirect
178. #3243C22semidirect
179. #3242C22semidirect
180. #3242C22semidirect
181. #3242C22semidirect
182. #3242C22semidirect
185. #3240C22semidirect
186. #3239C22semidirect
191. #3236C22semidirect
192. #3236C22semidirect
195. #3233C22semidirect
199. #3231C22semidirect
200. #3230C22semidirect
201. #3229C22semidirect
203. #3228C22semidirect
204. #3225C22semidirect
205. #3225C22semidirect
206. #3218C22semidirect
209. #3212C22semidirect
217. #3183C22semidirect
218. #3178C22semidirect
219. #3178C22semidirect
220. #3175C22semidirect
221. #3173C22semidirect
222. #3172C22semidirect
223. #3172C22semidirect
224. #3165C22semidirect
225. #3165C22semidirect
226. #3165C22semidirect
227. #3164C22semidirect
228. #3163C22semidirect
229. #3141C22semidirect
230. #3141C22semidirect
231. #3139C22semidirect
232. #3137C22semidirect
233. #3137C22semidirect
234. #3127C22semidirect
235. #3126C22semidirect
236. #3120C22semidirect
237. #3119C22semidirect
240. #3116C22semidirect
242. #3115C22semidirect
247. #3104C22semidirect
248. #3103C22semidirect
257. #3084C22semidirect
258. #3083C22semidirect
259. #3082C22semidirect
260. #3082C22semidirect
261. #3080C22semidirect
262. #3080C22semidirect
263. #3078C22semidirect
264. #3078C22semidirect

Maximal subgroups

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

subgroupindex
#628312
#627522
#626192
#626162
#625652
#625222
#625192
#624972
#622402
#622392
#622382
#622372
#621942
#621932
#621922
#621912
#618462
#618452
#617432
#617422
#617242
#617152
#609842
#609672
#609522
#608762
#608652
#608622
#602892