Finite Group Databasebeta

← #10580356

Subgroups — #10580356

Order 512.

6315 conjugacy classes of subgroups.

The subgroup lattice has 1851 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62793C211yesmaximal, characteristic, complemented
2#412C211yesmaximal, characteristic, complemented
3#62124C213yesmaximal, complemented
4#62122C213yesmaximal, complemented
5#62106C211yesmaximal, characteristic, complemented
6#62105C211yesmaximal, characteristic, complemented
7#61976C213yesmaximal, complemented
8#61974C213yesmaximal, complemented
9#61958C211yesmaximal, characteristic, complemented
10#61957C211yesmaximal, characteristic, complemented
11#61909C211yesmaximal, characteristic, complemented
12#61903C211yesmaximal, characteristic, complemented
13#61846C211yesmaximal, characteristic, complemented
14#61840C211yesmaximal, characteristic, complemented
15#61743C213yesmaximal, complemented
16#61734C213yesmaximal, complemented
17#61608C213yesmaximal, complemented
18#61599C213yesmaximal, complemented
19#61470C211yesmaximal, characteristic, complemented
20#61469C211yesmaximal, characteristic, complemented
21#61466C211yesmaximal, characteristic, complemented
22#61465C211yesmaximal, characteristic, complemented
23#61462C213yesmaximal, complemented
24#61461C213yesmaximal, complemented
25#61460C213yesmaximal, complemented
26#61459C213yesmaximal, complemented
27#60972C213yesmaximal, complemented
28#60961C213yesmaximal, complemented
29#60559C213yesmaximal, complemented
30#60546C213yesmaximal, complemented
31#60283C211yesmaximal, characteristic, complemented
32#3524—21no—
33#3524—23no—
34#3518C2211yescharacteristic, complemented
35#3518C2213yescomplemented
36#3517C2211yescharacteristic, complemented
37#3517C2213yescomplemented
38#3506C2213yescomplemented
39#3506C2213yescomplemented
40#3502C2211yescharacteristic, complemented
41#3497C2211yescharacteristic, complemented
42#3493—23no—
43#3487—21no—
44#3483C2211yescharacteristic
45#3483C2211yescharacteristic
46#3483C2213yescomplemented
47#3482—21no—
48#3482C2211yescharacteristic
49#3482C2211yescharacteristic
50#3482C2213yes—
51#3482C2213yescomplemented
52#3481—23no—
53#3481C2213yes—
54#3480—21no—
55#3480—23no—
56#3480—21no—
57#3480C2211yescharacteristic
58#3480C2213yes—
59Q8×#41C2211yescharacteristic
60Q8×#41C2211yescharacteristic
61#3475—23no—
62#3475—23no—
63#3475C2213yes—
64#3475C2213yes—
65D4×#41—21no—
66D4×#41C2213yes—
67D4×#41C2211yescharacteristic
68#3460—23no—
69#3444—23no—
70#3444C2213yes—
71#3444C2213yescomplemented
72#3444C2213yescomplemented
73C4×2−1+4—21no—
74C2×C4×#41—21no—
75C2×C4×#41C2213yes—
76C2×C4×#41C2211yescharacteristic
77#3400C2213yescomplemented
78#3399C2213yescomplemented
79#3398C2213yescomplemented
80#3397C2213yescomplemented
81#3395C2211yescharacteristic, complemented
82#3392C2211yescharacteristic, complemented
83#3392C2211yescharacteristic, complemented
84#3391C2211yescharacteristic, complemented
85#3387C2213yescomplemented
86#3386C2213yescomplemented
87#3385C2213yescomplemented
88#3384C2213yescomplemented
89Q8×Q16C2211yescharacteristic, complemented
90Q8×SD16C2211yescharacteristic, complemented
91Q8×SD16C2211yescharacteristic, complemented
92Q8×D8C2211yescharacteristic, complemented
93#3375C2213yescomplemented
94#3374C2213yescomplemented
95#3373C2213yescomplemented
96#3372C2213yescomplemented
97#3369C2213yescomplemented
98#3368C2213yescomplemented
99#3367C2213yescomplemented
100#3366C2213yescomplemented
101#3363C2211yescharacteristic, complemented
102#3363C2211yescharacteristic, complemented
103#3362C2211yescharacteristic, complemented
104#3362C2211yescharacteristic, complemented
105#3359C2211yescharacteristic, complemented
106#3359C2211yescharacteristic, complemented
107#3358C2211yescharacteristic, complemented
108#3358C2211yescharacteristic, complemented
109#3357C2213yescomplemented
110#3356C2213yescomplemented
111#3354C2213yescomplemented
112#3353C2213yescomplemented
113#3350C2216yescomplemented
114#3349C2216yescomplemented
115#3348C2216yescomplemented
116#3347C2216yescomplemented
117#3342C2213yescomplemented
118#3341C2213yescomplemented
119#3340C2213yescomplemented
120#3340C2213yescomplemented
121#3333C2213yescomplemented
122#3332C2213yescomplemented
123#3331C2213yescomplemented
124#3330C2213yescomplemented
125#3329C2213yescomplemented
126#3328C2213yescomplemented
127#3325C2213yescomplemented
128#3324C2213yescomplemented
129#3321C2216yescomplemented
130#3319C2216yescomplemented
131#3317C2216yescomplemented
132#3315C2216yescomplemented
133#3313C2216yescomplemented
134#3311C2216yescomplemented
135#3309C2216yescomplemented
136#3307C2216yescomplemented
137#3305C2213yescomplemented
138#3305C2213yescomplemented
139#3304C2213yescomplemented
140#3304C2213yescomplemented
141#3303C2213yescomplemented
142#3303C2213yescomplemented
143#3302C2213yescomplemented
144#3302C2213yescomplemented
145#3287C2213yescomplemented
146#3284C2213yescomplemented
147#3284C2213yescomplemented
148#3283C2213yescomplemented
149#3278C2213yescomplemented
150#3276C2213yescomplemented
151#3274C2213yescomplemented
152#3272C2213yescomplemented
153#3271C2216yescomplemented
154#3269C2216yescomplemented
155#3268C2216yescomplemented
156#3267C2216yescomplemented
157#3256C2216yescomplemented
158#3256C2216yescomplemented
159#3248C2213yescomplemented
160#3248C2213yescomplemented
161#3247C2213yescomplemented
162#3247C2213yescomplemented
163#3240C2216yescomplemented
164#3237C2213yescomplemented
165#3235C2213yescomplemented
166#3231C2213yescomplemented
167#3231C2213yescomplemented
168#3228C2213yescomplemented
169#3228C2213yescomplemented
170#3219C2216yescomplemented
171#3216C2213yescomplemented
172#3214C2213yescomplemented
173#3210C2213yescomplemented
174#3210C2213yescomplemented
175#3207C2213yescomplemented
176#3207C2213yescomplemented
177#3197C2216yescomplemented
178#3197C2216yescomplemented
179#3191C2216yescomplemented
180#3191C2216yescomplemented
181#3185C2213yescomplemented
182#3184C2213yescomplemented
183#3182C2213yescomplemented
184#3182C2213yescomplemented
185#3181C2216yescomplemented
186#3180C2216yescomplemented
187#3117C2216yescomplemented
188#3116C2213yes—
189#3116C2213yescomplemented
190#3116C2213yescomplemented
191#3116C2213yescomplemented
192#3116C2213yescomplemented
193#3116C2213yescomplemented
194#3115C2213yes—
195#3115C2213yescomplemented
196#3115C2213yescomplemented
197#3115C2213yescomplemented
198#3115C2213yescomplemented
199#3115C2213yescomplemented
200#3114C2216yescomplemented
201#3113C2213yescomplemented
202#3112C2213yescomplemented
203#3111C2213yes—
204#3111C2211yescharacteristic
205#3111C2216yescomplemented
206#3111C2216yescomplemented
207#3111C2213yescomplemented
208#3111C2216yescomplemented
209#3111C2213yescomplemented
210#3110C2213yescomplemented
211#3109C2213yescomplemented
212#3107C2213yes—
213#3107C2213yescomplemented
214#3106C2213yes—
215#3106C2213yescomplemented
216#3102C2213yescomplemented
217#3102C2213yescomplemented
218#3102C2213yescomplemented
219#3102C2213yescomplemented
220#3093C2213yescomplemented
221#3093C2213yescomplemented
222#3091C2216yescomplemented
223#3078C2213yescomplemented
224#3077C2213yescomplemented
225#3076C2213yescomplemented
226#3076C2213yescomplemented
227#3037C2213yescomplemented
228#3036C2213yescomplemented
229#3035C2213yescomplemented
230#3035C2213yescomplemented
231#3005C2213yes—
232#3005C2213yes—
233#3002C2216yes—
234#2989C2213yescomplemented
235#2989C2213yescomplemented
236#2988C2211yescharacteristic, complemented
237#2988C2211yescharacteristic, complemented
238#2984C2211yescharacteristic, complemented
239#2984C2211yescharacteristic, complemented
240#2974C2213yescomplemented
241#2974C2213yescomplemented
242#2971C2211yescharacteristic
243#2971C2211yescharacteristic
244#2970C2213yescomplemented
245#2970C2213yescomplemented
246C4×#137C2213yescomplemented
247C4×#137C2213yescomplemented
248C4×AGL(1,ℤ/8)C2213yescomplemented
249C4×AGL(1,ℤ/8)C2213yescomplemented
250#2943C2216yescomplemented
251#2943C2216yescomplemented
252#2920C2213yescomplemented
253C2×#432C2213yescomplemented
254C2×2−1+4—21no—
255C22×#41—21no—
256C22×#41D411yescharacteristic
257C22×#41C2313yes—
258C2×#137C2313yes—
259C2×#137C2313yes—
260C2×AGL(1,ℤ/8)C2313yes—
261C2×AGL(1,ℤ/8)C2313yes—
262C2×#135C2316yes—
263C2×#135C2316yes—
264#559—23no—
265#559—23no—
266#559—26no—
267#559—23no—
268#559C2313yes—
269Q82C2311yescharacteristic
270Q82C2311yescharacteristic
271Q82C2313yes—
272#557—21no—
273#557—21no—
274#557—23no—
275#557C2311yescharacteristic
276#557C2311yescharacteristic
277#557C2313yes—
278#557C2313yes—
279#556—23no—
280#556—23no—
281#556—26no—
282#556—23no—
283#556—23no—
284#556C2313yes—
285#556C2313yes—
286#556C2313yes—
287#556C2313yes—
288#556C2316yes—
289#555—23no—
290#555—23no—
291#555—23no—
292#555—26no—
293#555C2313yes—
294#555C2313yes—
295#555C2313yes—
296#555C2316yes—
297#554—23no—
298#554—23no—
299#554C2313yes—
300#554C2313yes—
301#553—26no—
302#553—23no—
303#553—23no—
304#553—26no—
305#553—23no—
306#553—23no—
307#553—26no—
308#553—23no—
309#553—23no—
310#553—23no—
311#553C2316yes—
312#552—23no—
313#552—26no—
314#552—23no—
315#552—23no—
316#552—23no—
317#552—26no—
318#552—23no—
319#552C2316yes—
320#551—26no—
321#551—26no—
322#551—26no—
323#550—21no—
324#550—21no—
325#550—23no—
326#550—21no—
327#550—23no—
328#550C2313yes—
329#550C2313yes—
330#550C2316yes—
331#550C2313yes—
332#550C2311yescharacteristic
333#550C2311yescharacteristic
334#550C2313yes—
335D4×Q8—21no—
336D4×Q8C2313yes—
337D4×Q8C2311yescharacteristic
338D4×Q8C2311yescharacteristic
339D4×Q8C2313yes—
340#548—21no—
341#548—21no—
342#548—23no—
343#548—21no—
344#548—23no—
345#548—21no—
346#548—21no—
347#548—21no—
348#548—23no—
349#548C2316yes—
350#547—23no—
351#547—23no—
352#547C2313yes—
353#547C2313yes—
354#547C2316yes—
355#547C2313yes—
356#547C2313yes—
357#546—23no—
358#546—23no—
359#546—23no—
360#546—26no—
361#546C2316yes—
362D42—23no—
363D42C2313yes—
364#544—23no—
365#542—23no—
366#542—26no—
367#542—23no—
368#540—23no—
369#540—26no—
370#540—23no—
371#538—26no—
372#538—26no—
373#537—23no—
374#535—23no—
375#535—23no—
376#533—23no—
377#533—23no—
378#533—23no—
379#533C2313yes—
380#533C2313yes—
381#533C2313yes—
382#533C2313yes—
383#533C2313yes—
384#533C2313yes—
385#533C2313yes—
386#533C2313yes—
387#533C2313yes—
388#532—23no—
389#532—23no—
390#532—23no—
391#532—23no—
392#532—26no—
393#532—23no—
394#532C2313yes—
395#532C2313yes—
396#532C2313yes—
397#532C2313yes—
398#532C2313yes—
399#532C2313yes—
400#532C2313yes—
401#532C2313yes—
402#532C2313yes—
403#529—23no—
404#529—23no—
405#529—26no—
406#529—23no—
407#529—26no—
408#529—23no—
409#529—23no—
410#529—26no—
411#529—23no—
412#529—26no—
413#529—26no—
414#529—23no—
415#529—23no—
416#529—23no—
417#529—23no—
418#529—23no—
419#529—23no—
420#529—23no—
421#529—23no—
422#529—23no—
423#529—23no—
424#529—23no—
425#529—23no—
426#529C2313yes—
427#529C2313yes—
428#529C2313yes—
429#529C2311yescharacteristic
430#529C2316yes—
431#529C2316yes—
432#529C2316yes—
433#525—23no—
434#525—23no—
435#525—23no—
436#525—23no—
437#525—23no—
438#525—23no—
439#525—23no—
440#525—26no—
441#525—26no—
442#525—23no—
443#525C2316yes—
444#525C2313yes—
445#525C2313yes—
446#525C2316yes—
447#520—21no—
448#520—23no—
449#520—23no—
450#520—23no—
451#519—21no—
452#519—21no—
453#519—23no—
454C4×#41—21no—
455C4×#41—21no—
456C4×#41—21no—
457C4×#41—21no—
458C4×#41—23no—
459C4×#41—23no—
460C4×#41—23no—
461C4×#41—23no—
462C4×#41—23no—
463C4×#41—23no—
464C4×#41—23no—
465C4×#41—23no—
466C4×#41—23no—
467C4×#41—23no—
468C4×#41—23no—
469C4×#41—23no—
470C4×#41—23no—
471C4×#41—23no—
472C4×#41D411yescharacteristic
473C4×#41D413yes—
474C4×#41D413yes—
475C4×#41D411yescharacteristic
476C4×#41C2313yes—
477C4×#41C2313yes—
478C4×#41C2313yes—
479C4×#41C2313yes—
480C4×#41C2311yescharacteristic
481C4×#41C2313yes—
482C4×#41C2316yes—
483C4×#41C2313yes—
484C4×#41C2313yes—
485C4×#41C2313yes—
486C4×#41C2313yes—
487C4×#41C2311yescharacteristic
488C4×#41C2313yes—
489C4×#41C2313yes—
490C4×#41C2311yescharacteristic
491C2×C4×Q8—21no—
492C2×C4×Q8—21no—
493C2×C4×Q8—21no—
494C2×C4×Q8—23no—
495C2×C4×Q8D411yescharacteristic
496C2×C4×Q8C2313yes—
497C2×C4×Q8C2313yes—
498C2×C4×Q8C2311yescharacteristic
499C2×C4×D4—23no—
500C2×C4×D4—23no—
501C2×C4×D4—23no—
502C2×C4×D4—23no—
503C2×C4×D4D413yes—
504C2×C4×D4C2313yes—
505C2×C4×D4C2313yes—
506C2×C4×D4C2313yes—
507C2×#117—23no—
508C2×#117—23no—
509C2×#117D413yes—
510C2×#117C2313yes—
511C22×C42—23no—
512C22×C42C2313yes—
513#501C2316yes—
514#501C2316yes—
515#500C2313yes—
516#500C2313yes—
517#498C2313yes—
518#498C2313yes—
519#497C2316yes—
520#496C2316yes—
521#494C2313yes—
522#493C2313yes—
523#492C2313yes—
524#492C2313yes—
525#491C2316yes—
526#490C2316yes—
527#489C2316yes—
528#489C2316yes—
529#487C2313yes—
530#487C2313yes—
531#487C2313yes—
532#487C2313yes—
533#486C2313yes—
534#486C2313yes—
535#486C2313yes—
536#486C2313yes—
537#485C2316yes—
538#485C2316yes—
539#485C2313yes—
540#485C2316yes—
541#485C2313yes—
542#485C2316yes—
543#485C2313yes—
544#485C2316yes—
545#485C2311yescharacteristic
546#485C2313yes—
547#485C2313yes—
548#485C2313yes—
549#485C2313yes—
550#484C2316yes—
551#483C2316yes—
552#482C2313yes—
553#482C2316yes—
554#482C2313yes—
555#482C2316yes—
556#482C2313yes—
557#482C2316yes—
558#482C2313yes—
559#482C2316yes—
560#482C2313yes—
561#482C2311yescharacteristic
562#482C2313yes—
563#482C2313yes—
564#482C2316yes—
565#481C2316yes—
566#480C2316yes—
567#479C2313yes—
568#479C2316yes—
569#479C2311yescharacteristic
570#479C2313yes—
571#479C2313yes—
572#479C2316yes—
573#479C2316yes—
574#478C2313yes—
575#478C2316yes—
576#478C2311yescharacteristic
577#478C2313yes—
578#478C2313yes—
579#478C2316yes—
580#478C2316yes—
581#477C2313yes—
582#477C2313yes—
583#477C2313yes—
584#477C2313yes—
585#477C2313yes—
586#477C2313yes—
587#476C2313yes—
588#476C2313yes—
589#476C2313yes—
590#476C2313yes—
591#476C2313yes—
592#476C2313yes—
593#475C2313yes—
594#475C2313yes—
595#475C2313yes—
596#475C2313yes—
597#475C2313yes—
598#475C2313yes—
599#474C2313yes—
600#474C2313yes—
601#474C2313yes—
602#474C2313yes—
603#474C2313yes—
604#474C2313yes—
605#470C2316yes—
606#470C2316yes—
607#469C2316yes—
608#469C2316yes—
609#468C2316yes—
610#468C2316yes—
611#468C2316yes—
612#468C2316yes—
613#467C2316yes—
614#467C2316yes—
615#466C2316yes—
616#466C2316yes—
617#465C2316yes—
618#465C2316yes—
619#465C2316yes—
620#465C2316yes—
621#464C2311yescharacteristic
622#464C2313yes—
623#464C2313yes—
624#464C2313yes—
625#464C2316yes—
626#464C2316yes—
627#464C2316yes—
628#463C2311yescharacteristic
629#463C2313yes—
630#463C2313yes—
631#463C2313yes—
632#463C2316yes—
633#463C2316yes—
634#463C2316yes—
635#462C2313yes—
636#462C2313yes—
637#462C2313yes—
638#462C2313yes—
639#462C2313yes—
640#462C2313yes—
641#461C2313yes—
642#461C2313yes—
643#461C2313yes—
644#461C2313yes—
645#461C2313yes—
646#461C2313yes—
647#460C2313yes—
648#460C2313yes—
649#460C2313yes—
650#460C2313yes—
651#460C2313yes—
652#460C2313yes—
653#459C2313yes—
654#459C2313yes—
655#459C2313yes—
656#459C2313yes—
657#459C2313yes—
658#459C2313yes—
659#452C2316yes—
660#452C2316yes—
661#452C2313yes—
662#452C2313yes—
663#452C2313yes—
664#452C2313yes—
665#452C2311yescharacteristic
666#452C2313yes—
667#452C2313yes—
668#452C2313yes—
669#452C2316yes—
670#452C2316yes—
671#452C2316yes—
672#451C2316yes—
673#450C2316yes—
674#449C2316yes—
675#449C2316yes—
676#449C2313yes—
677#449C2313yes—
678#449C2313yes—
679#449C2313yes—
680#449C2311yescharacteristic
681#449C2313yes—
682#449C2313yes—
683#449C2313yes—
684#449C2316yes—
685#449C2316yes—
686#449C2316yes—
687#448C2316yes—
688#447C2316yes—
689#446C2313yes—
690#446C2313yes—
691#446C2313yes—
692#446C2313yes—
693C8×Q8C2311yescharacteristic
694C8×Q8C2311yescharacteristic
695C8×Q8C2311yescharacteristic
696C8×Q8C2311yescharacteristic
697#442C2316yes—
698#442C2313yes—
699#442C2316yes—
700#442C2316yes—
701#442C2311yescharacteristic
702#442C2313yes—
703#442C2313yes—
704#441C2316yes—
705#441C2313yes—
706#441C2311yescharacteristic
707#441C2313yes—
708#441C2316yes—
709#441C2313yes—
710#441C2316yes—
711#440C2316yes—
712#440C2316yes—
713#440C2313yes—
714#440C2316yes—
715#440C2313yes—
716#440C2311yescharacteristic
717#440C2311yescharacteristic
718#440C2313yes—
719#440C2313yes—
720#440C2316yes—
721#440C2313yes—
722#440C2313yes—
723#440C2316yes—
724#440C2316yes—
725C4×Q16C2313yes—
726C4×Q16C2313yes—
727C4×Q16C2313yes—
728C4×Q16C2313yes—
729C4×SD16C2313yes—
730C4×SD16C2313yes—
731C4×SD16C2313yes—
732C4×SD16C2313yes—
733C4×SD16C2313yes—
734C4×SD16C2313yes—
735C4×SD16C2313yes—
736C4×SD16C2313yes—
737C4×D8C2313yes—
738C4×D8C2313yes—
739C4×D8C2313yes—
740C4×D8C2313yes—
741#436C2313yes—
742#436C2313yes—
743#436C2313yes—
744#436C2313yes—
745#435C2316yes—
746#435C2316yes—
747#435C2316yes—
748#435C2316yes—
749C8×D4C2313yes—
750C8×D4C2313yes—
751C8×D4C2313yes—
752C8×D4C2313yes—
753#432C2313yes—
754#432C2313yes—
755#432C2313yes—
756#432C2311yescharacteristic
757#432C2313yes—
758#432C2313yes—
759#432C2316yes—
760#432C2313yes—
761#432C2313yes—
762#431C2313yes—
763#431C2313yes—
764#431C2313yes—
765#431C2313yes—
766#428C2313yes—
767#428C2313yes—
768#428C2313yes—
769#428C2313yes—
770#427C2316yes—
771#427C2316yes—
772#423C2313yes—
773#423C2313yes—
774C2×C4⋊C8C2313yes—
775C2×C4⋊C8C2313yes—
776#419C2313yes—
777#419C2313yes—
778#418C2313yes—
779#418C2313yes—
780#417C2313yes—
781#417C2313yes—
782#417C2313yes—
783#417C2313yes—
784#416C2316yes—
785#416C2316yes—
786#416C2316yes—
787#416C2316yes—
788#407C2313yes—
789#407C2313yes—
790C2×C22⋊C8C2316yes—
791C4×M16C2313yes—
792C4×M16C2313yes—
793C2×#97C2316yes—
7942−1+4—48no—
795C2×#41—21no—
796C2×#41—23no—
797C2×#41—21no—
798C2×#41—23no—
799C2×#41—23no—
800C2×#41—23no—
801C2×#41—23no—
802C2×#41—23no—
803C2×#41—23no—
804C2×#41—23no—
805C2×#41—23no—
806C2×#41—23no—
807C2×#41—46no—
808C2×#41—44no—
809C2×#41—46no—
810C2×#41—48no—
811C2×#41C2×D411yescharacteristic
812C2×#41C2×D411yescharacteristic
813C2×#41C2×D413yes—
814C2×#41C2×D413yes—
815C2×#41C2411yescharacteristic
816C2×#41C2413yes—
817C2×#41C2413yes—
818C2×#41C2413yes—
819C2×#41C2416yes—
820C2×#41C2413yes—
821C2×#41C2413yes—
822C22×Q8—21no—
823C22×Q8—23no—
824C22×Q8—21no—
825C22×Q8C2×D411yescharacteristic
826C22×Q8C2413yes—
827C22×D4—23no—
828C22×D4—23no—
829C22×D4C2×D413yes—
830C22×D4C2413yes—
831C23×C4—23no—
832C23×C4—23no—
833C23×C4—23no—
834C23×C4C2×D413yes—
835C23×C4C2×D413yes—
836C23×C4C2413yes—
837#137—46no—
838#137—46no—
839AGL(1,ℤ/8)—46no—
840AGL(1,ℤ/8)—46no—
841#135—412no—
842#135—412no—
843C2×Q16C2413yes—
844C2×Q16C2411yescharacteristic
845C2×Q16C2416yes—
846C2×Q16C2413yes—
847C2×Q16C2413yes—
848C2×SD16C2413yes—
849C2×SD16C2413yes—
850C2×SD16C2411yescharacteristic
851C2×SD16C2411yescharacteristic
852C2×SD16C2416yes—
853C2×SD16C2416yes—
854C2×SD16C2413yes—
855C2×SD16C2413yes—
856C2×SD16C2413yes—
857C2×SD16C2413yes—
858C2×D8C2413yes—
859C2×D8C2411yescharacteristic
860C2×D8C2416yes—
861C2×D8C2413yes—
862C2×D8C2413yes—
863C2×M16C2413yes—
864C2×M16C2413yes—
865C2×M16C2413yes—
866C2×M16C2413yes—
867C22×C8C2416yes—
868C22×C8C2416yes—
869C4⋊Q8—23no—
870C4⋊Q8—23no—
871C4⋊Q8—23no—
872C4⋊Q8—23no—
873C4⋊Q8—23no—
874C4⋊Q8—26no—
875C4⋊Q8C2413yes—
876C4⋊Q8C2413yes—
877C4⋊Q8C2413yes—
878C4⋊Q8C2413yes—
879C4⋊Q8C2413yes—
880C4⋊Q8C2413yes—
881C4⋊Q8C2413yes—
882C4⋊Q8C2413yes—
883C4⋊Q8C2413yes—
884#127—23no—
885#127—23no—
886#127—23no—
887#127—26no—
888#127C2413yes—
889#127C2413yes—
890#127C2413yes—
891#126—26no—
892#126—26no—
893#126—26no—
894#126—26no—
895#126—26no—
896#126—26no—
897#126—26no—
898#126—26no—
899#126—23no—
900#126—21no—
901#126—26no—
902#126—26no—
903#126—23no—
904#126—23no—
905#126—26no—
906#125—26no—
907#125—23no—
908#125—26no—
909#125—23no—
910#125—23no—
911#125—23no—
912#125—26no—
913#125—23no—
914#125—23no—
915#125—23no—
916#125—23no—
917#125—23no—
918#125—23no—
919#125C2411yescharacteristic
920#125C2413yes—
921#125C2416yes—
922#124—23no—
923#124—23no—
924#124—23no—
925#124—23no—
926#124—26no—
927#124—26no—
928#124—26no—
929#124—26no—
930#124—26no—
931#124—26no—
932#124—26no—
933#124—23no—
934#124—23no—
935#124—23no—
936#124—23no—
937#124—23no—
938#124—23no—
939#124C2411yescharacteristic
940#124C2413yes—
941#124C2416yes—
942#123—26no—
943#123—21no—
944#123—23no—
945#123—26no—
946#123—23no—
947#123—23no—
948#123—26no—
949#123—26no—
950#123—26no—
951#123—23no—
952#123—23no—
953#123—26no—
954#123—26no—
955#123—26no—
956#123—26no—
957#123—26no—
958#123—26no—
959#123—26no—
960#123—26no—
961#123—26no—
962#123—26no—
963C22⋊Q8—23no—
964C22⋊Q8—23no—
965C22⋊Q8—23no—
966C22⋊Q8—23no—
967C22⋊Q8—23no—
968C22⋊Q8—23no—
969C22⋊Q8—23no—
970C22⋊Q8—23no—
971C22⋊Q8—23no—
972C22⋊Q8—23no—
973C22⋊Q8—23no—
974C22⋊Q8—23no—
975C22⋊Q8—23no—
976C22⋊Q8—23no—
977C22⋊Q8—23no—
978C22⋊Q8—26no—
979C22⋊Q8—23no—
980C22⋊Q8—26no—
981C22⋊Q8—23no—
982C22⋊Q8—23no—
983C22⋊Q8—26no—
984C22⋊Q8—26no—
985C22⋊Q8—26no—
986C22⋊Q8C2413yes—
987C22⋊Q8C2411yescharacteristic
988C22⋊Q8C2416yes—
989C22⋊Q8C2416yes—
990C22⋊Q8C2413yes—
991C22⋊Q8C2413yes—
992C22⋊Q8C2416yes—
993#121—26no—
994#121—23no—
995#121—26no—
996#121—23no—
997#121—23no—
998#121—23no—
999#121—26no—
1000#121—23no—
1001#121—23no—
1002#121—26no—
1003#121—23no—
1004#121—23no—
1005#121—23no—
1006#121—23no—
1007#121—23no—
1008#121—23no—
1009#121—23no—
1010#121—23no—
1011#121—23no—
1012#121—23no—
1013#121—23no—
1014#121—23no—
1015#121—23no—
1016#121—23no—
1017#121—23no—
1018#121—23no—
1019#121—26no—
1020#121—26no—
1021#121—26no—
1022#121—26no—
1023#121—26no—
1024#121—26no—
1025#121—26no—
1026#121C2413yes—
1027#121C2411yescharacteristic
1028#121C2416yes—
1029#121C2416yes—
1030#121C2416yes—
1031#121C2413yes—
1032#121C2413yes—
1033#120—26no—
1034#120—23no—
1035#120—23no—
1036#120—26no—
1037#120—26no—
1038#120—26no—
1039C4×Q8—21no—
1040C4×Q8—21no—
1041C4×Q8—23no—
1042C4×Q8—21no—
1043C4×Q8—23no—
1044C4×Q8—21no—
1045C4×Q8—23no—
1046C4×Q8—23no—
1047C4×Q8—23no—
1048C4×Q8—23no—
1049C4×Q8—26no—
1050C4×Q8—23no—
1051C4×Q8—23no—
1052C4×Q8—23no—
1053C4×Q8—23no—
1054C4×Q8—23no—
1055C4×Q8—23no—
1056C4×Q8—23no—
1057C4×Q8—23no—
1058C4×Q8—23no—
1059C4×Q8—23no—
1060C4×Q8—23no—
1061C4×Q8—23no—
1062C4×Q8—23no—
1063C4×Q8—23no—
1064C4×Q8—23no—
1065C4×Q8—23no—
1066C4×Q8C2×D411yescharacteristic
1067C4×Q8C2×D411yescharacteristic
1068C4×Q8C2×D413yes—
1069C4×Q8C2×D411yescharacteristic
1070C4×Q8C2×D413yes—
1071C4×Q8C2×D413yes—
1072C4×Q8C2411yescharacteristic
1073C4×Q8C2411yescharacteristic
1074C4×Q8C2413yes—
1075C4×Q8C2413yes—
1076C4×Q8C2413yes—
1077C4×Q8C2413yes—
1078C4×Q8C2413yes—
1079C4×Q8C2413yes—
1080C4×Q8C2413yes—
1081C4×Q8C2411yescharacteristic
1082C4×Q8C2413yes—
1083C4×Q8C2413yes—
1084C4×Q8C2416yes—
1085C4×Q8C2411yescharacteristic
1086C4×Q8C2413yes—
1087C4×D4—23no—
1088C4×D4—23no—
1089C4×D4—21no—
1090C4×D4—21no—
1091C4×D4—26no—
1092C4×D4—26no—
1093C4×D4—23no—
1094C4×D4—23no—
1095C4×D4—23no—
1096C4×D4—23no—
1097C4×D4—23no—
1098C4×D4—23no—
1099C4×D4—23no—
1100C4×D4—23no—
1101C4×D4—23no—
1102C4×D4—23no—
1103C4×D4—23no—
1104C4×D4—23no—
1105C4×D4—23no—
1106C4×D4—23no—
1107C4×D4—21no—
1108C4×D4—23no—
1109C4×D4—26no—
1110C4×D4—23no—
1111C4×D4—23no—
1112C4×D4—26no—
1113C4×D4—26no—
1114C4×D4—23no—
1115C4×D4—23no—
1116C4×D4—26no—
1117C4×D4—26no—
1118C4×D4—23no—
1119C4×D4—23no—
1120C4×D4—23no—
1121C4×D4—23no—
1122C4×D4—26no—
1123C4×D4—23no—
1124C4×D4—23no—
1125C4×D4—26no—
1126C4×D4—23no—
1127C4×D4—23no—
1128C4×D4—23no—
1129C4×D4—23no—
1130C4×D4—26no—
1131C4×D4—26no—
1132C4×D4—26no—
1133C4×D4—23no—
1134C4×D4—23no—
1135C4×D4—23no—
1136C4×D4—23no—
1137C4×D4—23no—
1138C4×D4—23no—
1139C4×D4—23no—
1140C4×D4—23no—
1141C4×D4—23no—
1142C4×D4—23no—
1143C4×D4—23no—
1144C4×D4—23no—
1145C4×D4—23no—
1146C4×D4—23no—
1147C4×D4—23no—
1148C4×D4—23no—
1149C4×D4C2×D413yes—
1150C4×D4C2×D413yes—
1151C4×D4C2×D416yes—
1152C4×D4C2×D413yes—
1153C4×D4C2×D413yes—
1154C4×D4C2×D416yes—
1155C4×D4C2×D413yes—
1156C4×D4C2×D416yes—
1157C4×D4C2×D413yes—
1158C4×D4C2411yescharacteristic
1159C4×D4C2411yescharacteristic
1160C4×D4C2413yes—
1161C4×D4C2413yes—
1162C4×D4C2413yes—
1163C4×D4C2413yes—
1164C4×D4C2413yes—
1165C4×D4C2413yes—
1166C4×D4C2413yes—
1167C4×D4C2411yescharacteristic
1168C4×D4C2413yes—
1169C4×D4C2413yes—
1170C4×D4C2416yes—
1171C4×D4C2413yes—
1172C4×D4C2416yes—
1173C4×D4C2413yes—
1174#117—23no—
1175#117—23no—
1176#117—23no—
1177#117—23no—
1178#117—23no—
1179#117—23no—
1180#117—23no—
1181#117—23no—
1182#117—23no—
1183#117—23no—
1184#117—23no—
1185#117—23no—
1186#117—26no—
1187#117—26no—
1188#117—21no—
1189#117—26no—
1190#117—23no—
1191#117—23no—
1192#117—23no—
1193#117—23no—
1194#117—23no—
1195#117—23no—
1196#117—23no—
1197#117—23no—
1198#117—21no—
1199#117—23no—
1200#117—23no—
1201#117—26no—
1202#117—26no—
1203#117—26no—
1204#117—23no—
1205#117—23no—
1206#117C2×D413yes—
1207#117C2×D413yes—
1208#117C2×D416yes—
1209#117C2×D416yes—
1210#117C2×D413yes—
1211#117C2×D413yes—
1212#117C2411yescharacteristic
1213#117C2413yes—
1214#117C2413yes—
1215#117C2413yes—
1216#117C2416yes—
1217#117C2413yes—
1218#117C2413yes—
1219C2×C4⋊C4—23no—
1220C2×C4⋊C4—23no—
1221C2×C4⋊C4—23no—
1222C2×C4⋊C4—23no—
1223C2×C4⋊C4—23no—
1224C2×C4⋊C4—23no—
1225C2×C4⋊C4—26no—
1226C2×C4⋊C4C2×D413yes—
1227C2×C4⋊C4C2×D413yes—
1228C2×C4⋊C4C2413yes—
1229C2×C4⋊C4C2413yes—
1230C2×C22⋊C4—23no—
1231C2×C22⋊C4—23no—
1232C2×C22⋊C4—23no—
1233C2×C22⋊C4—26no—
1234C2×C22⋊C4C2×D416yes—
1235C2×C42—23no—
1236C2×C42—23no—
1237C2×C42—23no—
1238C2×C42—23no—
1239C2×C42—23no—
1240C2×C42—23no—
1241C2×C42—26no—
1242C2×C42—23no—
1243C2×C42—23no—
1244C2×C42—23no—
1245C2×C42—23no—
1246C2×C42—23no—
1247C2×C42—23no—
1248C2×C42—21no—
1249C2×C42C2×D413yes—
1250C2×C42C2×D413yes—
1251C2×C42C2×D413yes—
1252C2×C42C2×D413yes—
1253C2×C42C2×D413yes—
1254C2×C42C2×D413yes—
1255C2×C42C2413yes—
1256C2×C42C2413yes—
1257C2×C42C2413yes—
1258C2×C42C2413yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2413yes—
1261#107C2413yes—
1262#107C2413yes—
1263#107C2416yes—
1264#107C2416yes—
1265#107C2411yescharacteristic
1266#107C2411yescharacteristic
1267#107C2413yes—
1268#107C2413yes—
1269#107C2413yes—
1270#107C2413yes—
1271#106C2413yes—
1272#106C2413yes—
1273#106C2416yes—
1274#106C2416yes—
1275#106C2411yescharacteristic
1276#106C2411yescharacteristic
1277#106C2413yes—
1278#106C2413yes—
1279#106C2413yes—
1280#106C2413yes—
1281C4⋊C8C2413yes—
1282C4⋊C8C2413yes—
1283C4⋊C8C2413yes—
1284C4⋊C8C2413yes—
1285C4⋊C8C2413yes—
1286C4⋊C8C2413yes—
1287C4⋊C8C2411yescharacteristic
1288C4⋊C8C2411yescharacteristic
1289C4⋊C8C2413yes—
1290C4⋊C8C2413yes—
1291C4⋊C8C2413yes—
1292C4⋊C8C2413yes—
1293#103C2413yes—
1294#103C2413yes—
1295#103C2413yes—
1296#103C2413yes—
1297#103C2416yes—
1298#103C2416yes—
1299#103C2416yes—
1300#103C2416yes—
1301#103C2411yescharacteristic
1302#103C2411yescharacteristic
1303#103C2413yes—
1304#103C2413yes—
1305#103C2413yes—
1306#103C2413yes—
1307#103C2411yescharacteristic
1308#103C2411yescharacteristic
1309#103C2413yes—
1310#103C2413yes—
1311#103C2413yes—
1312#103C2413yes—
1313#102C2413yes—
1314#102C2413yes—
1315#102C2413yes—
1316#102C2413yes—
1317#102C2416yes—
1318#102C2416yes—
1319#102C2416yes—
1320#102C2416yes—
1321#102C2411yescharacteristic
1322#102C2411yescharacteristic
1323#102C2413yes—
1324#102C2413yes—
1325#102C2413yes—
1326#102C2413yes—
1327#102C2411yescharacteristic
1328#102C2411yescharacteristic
1329#102C2413yes—
1330#102C2413yes—
1331#102C2413yes—
1332#102C2413yes—
1333C22⋊C8C2413yes—
1334C22⋊C8C2413yes—
1335C22⋊C8C2416yes—
1336C22⋊C8C2416yes—
1337C22⋊C8C2411yescharacteristic
1338C22⋊C8C2411yescharacteristic
1339C22⋊C8C2413yes—
1340C22⋊C8C2413yes—
1341C22⋊C8C2413yes—
1342C22⋊C8C2413yes—
1343#97C2413yes—
1344#97C2413yes—
1345#97C2416yes—
1346#97C2416yes—
1347#97C2411yescharacteristic
1348#97C2411yescharacteristic
1349C4×C8C2413yes—
1350C4×C8C2413yes—
1351C4×C8C2413yes—
1352C4×C8C2413yes—
1353C24—23no—
1354C24C22×D413yes—
1355#41—24no—
1356#41—24no—
1357#41—22no—
1358#41—22no—
1359#41—26no—
1360#41—26no—
1361#41—46no—
1362#41—46no—
1363#41—43no—
1364#41—43no—
1365#41—43no—
1366#41—43no—
1367#41—412no—
1368#41—412no—
1369#41—412no—
1370#41—412no—
1371#41—46no—
1372#41—46no—
1373#41—43no—
1374#41—43no—
1375#41—43no—
1376#41—43no—
1377#41—412no—
1378#41—412no—
1379#41—412no—
1380#41—44no—
1381#41—44no—
1382#41—86no—
1383#41—86no—
1384#41—86no—
1385C2×Q8—24no—
1386C2×Q8—23no—
1387C2×Q8—23no—
1388C2×Q8—23no—
1389C2×Q8—23no—
1390C2×Q8—23no—
1391C2×Q8—23no—
1392C2×Q8—23no—
1393C2×Q8—26no—
1394C2×Q8—43no—
1395C2×Q8—412no—
1396C2×Q8—44no—
1397C2×Q8—44no—
1398C2×Q8C22×D413yes—
1399C2×Q8C22×D411yescharacteristic
1400C2×Q8C2513yes—
1401C2×Q8C2511yescharacteristic
1402C2×Q8C2513yes—
1403C2×Q8C2511yescharacteristic
1404C2×D4—21no—
1405C2×D4—26no—
1406C2×D4—23no—
1407C2×D4—21no—
1408C2×D4—23no—
1409C2×D4—23no—
1410C2×D4—26no—
1411C2×D4—23no—
1412C2×D4—26no—
1413C2×D4—26no—
1414C2×D4—23no—
1415C2×D4—23no—
1416C2×D4—23no—
1417C2×D4—23no—
1418C2×D4—26no—
1419C2×D4—23no—
1420C2×D4—23no—
1421C2×D4—23no—
1422C2×D4—23no—
1423C2×D4—23no—
1424C2×D4—23no—
1425C2×D4—23no—
1426C2×D4—46no—
1427C2×D4—43no—
1428C2×D4—412no—
1429C2×D4—412no—
1430C2×D4C22×D413yes—
1431C2×D4C22×D413yes—
1432C2×D4C22×D416yes—
1433C2×D4C2513yes—
1434C2×D4C2511yescharacteristic
1435C2×D4C2513yes—
1436C2×D4C2511yescharacteristic
1437C22×C4—21no—
1438C22×C4—23no—
1439C22×C4—23no—
1440C22×C4—23no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—23no—
1444C22×C4—21no—
1445C22×C4—23no—
1446C22×C4—23no—
1447C22×C4—23no—
1448C22×C4—23no—
1449C22×C4—23no—
1450C22×C4—23no—
1451C22×C4—23no—
1452C22×C4—26no—
1453C22×C4—23no—
1454C22×C4—23no—
1455C22×C4—23no—
1456C22×C4—23no—
1457C22×C4—26no—
1458C22×C4—23no—
1459C22×C4—23no—
1460C22×C4—46no—
1461C22×C4—43no—
1462C22×C4—43no—
1463C22×C4—412no—
1464C22×C4—412no—
1465C22×C4—83no—
1466C22×C4—86no—
1467C22×C4C22×D413yes—
1468C22×C4C22×D413yes—
1469C22×C4C22×D413yes—
1470C22×C4C22×D413yes—
1471C22×C4C22×D413yes—
1472C22×C4C22×D411yescharacteristic
1473C22×C4C22×D411yescharacteristic
1474C22×C4C22×D413yes—
1475C22×C4C22×D413yes—
1476C22×C4C22×D413yes—
1477C22×C4C22×D413yes—
1478C22×C4C22×D413yes—
1479C22×C4C22×D413yes—
1480C22×C4C22×D413yes—
1481C22×C4C22×D413yes—
1482C22×C4C2511yescharacteristic
1483C22×C4C2513yes—
1484C22×C4C2513yes—
1485Q16—26no—
1486Q16—22no—
1487Q16—46no—
1488Q16—43no—
1489Q16—43no—
1490SD16—26no—
1491SD16—22no—
1492SD16—26no—
1493SD16—22no—
1494SD16—46no—
1495SD16—46no—
1496SD16—43no—
1497SD16—43no—
1498SD16—43no—
1499SD16—43no—
1500D8—26no—
1501D8—22no—
1502D8—46no—
1503D8—43no—
1504D8—43no—
1505M16—43no—
1506M16—43no—
1507M16—43no—
1508M16—43no—
1509C2×C8—46no—
1510C2×C8—46no—
1511C2×C8C2511yescharacteristic
1512C2×C8C2511yescharacteristic
1513C2×C8C2511yescharacteristic
1514C2×C8C2511yescharacteristic
1515C2×C8C2513yes—
1516C2×C8C2513yes—
1517C2×C8C2513yes—
1518C2×C8C2513yes—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—23no—
1522C4⋊C4—23no—
1523C4⋊C4—23no—
1524C4⋊C4—23no—
1525C4⋊C4—26no—
1526C4⋊C4—23no—
1527C4⋊C4—23no—
1528C4⋊C4—26no—
1529C4⋊C4—26no—
1530C4⋊C4—23no—
1531C4⋊C4—23no—
1532C4⋊C4—23no—
1533C4⋊C4—23no—
1534C4⋊C4—23no—
1535C4⋊C4—23no—
1536C4⋊C4—23no—
1537C4⋊C4—23no—
1538C4⋊C4—23no—
1539C4⋊C4—21no—
1540C4⋊C4—23no—
1541C4⋊C4—23no—
1542C4⋊C4—21no—
1543C4⋊C4—23no—
1544C4⋊C4—21no—
1545C4⋊C4—23no—
1546C4⋊C4—23no—
1547C4⋊C4—21no—
1548C4⋊C4—23no—
1549C4⋊C4—23no—
1550C4⋊C4—23no—
1551C4⋊C4—23no—
1552C4⋊C4—26no—
1553C4⋊C4—26no—
1554C4⋊C4—23no—
1555C4⋊C4—23no—
1556C4⋊C4—26no—
1557C4⋊C4—23no—
1558C4⋊C4—23no—
1559C4⋊C4C22×D413yes—
1560C4⋊C4C22×D413yes—
1561C4⋊C4C22×D413yes—
1562C4⋊C4C22×D416yes—
1563C4⋊C4C22×D413yes—
1564C4⋊C4C22×D416yes—
1565C4⋊C4C2511yescharacteristic
1566C4⋊C4C2511yescharacteristic
1567C4⋊C4C2513yes—
1568C4⋊C4C2513yes—
1569C4⋊C4C2513yes—
1570C4⋊C4C2511yescharacteristic
1571C4⋊C4C2513yes—
1572C4⋊C4C2511yescharacteristic
1573C22⋊C4—21no—
1574C22⋊C4—26no—
1575C22⋊C4—23no—
1576C22⋊C4—23no—
1577C22⋊C4—23no—
1578C22⋊C4—21no—
1579C22⋊C4—23no—
1580C22⋊C4—23no—
1581C22⋊C4—23no—
1582C22⋊C4—26no—
1583C22⋊C4—26no—
1584C22⋊C4—26no—
1585C22⋊C4—23no—
1586C22⋊C4—23no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—26no—
1590C22⋊C4—26no—
1591C22⋊C4—23no—
1592C22⋊C4—23no—
1593C22⋊C4—23no—
1594C22⋊C4—23no—
1595C22⋊C4—23no—
1596C22⋊C4—23no—
1597C22⋊C4—21no—
1598C22⋊C4—23no—
1599C22⋊C4—23no—
1600C22⋊C4—23no—
1601C22⋊C4—26no—
1602C22⋊C4—23no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—23no—
1606C22⋊C4—23no—
1607C22⋊C4—21no—
1608C22⋊C4—26no—
1609C22⋊C4—26no—
1610C22⋊C4—26no—
1611C22⋊C4—23no—
1612C22⋊C4—23no—
1613C22⋊C4C22×D416yes—
1614C22⋊C4C22×D416yes—
1615C22⋊C4C22×D416yes—
1616C22⋊C4C22×D416yes—
1617C42—21no—
1618C42—21no—
1619C42—21no—
1620C42—23no—
1621C42—23no—
1622C42—21no—
1623C42—23no—
1624C42—23no—
1625C42—23no—
1626C42—23no—
1627C42—23no—
1628C42—23no—
1629C42—23no—
1630C42—23no—
1631C42—26no—
1632C42—23no—
1633C42—23no—
1634C42—26no—
1635C42—23no—
1636C42—23no—
1637C42C22×D411yescharacteristic
1638C42C22×D413yes—
1639C42C22×D413yes—
1640C42C22×D413yes—
1641C42C22×D413yes—
1642C42C22×D413yes—
1643C42C22×D411yescharacteristic
1644C42C22×D413yes—
1645C42C22×D413yes—
1646C42C22×D413yes—
1647C42C22×D413yes—
1648C42C22×D413yes—
1649C42C2513yes—
1650C42C2511yescharacteristic
1651C42C2513yes—
1652C42C2511yescharacteristic
1653C23—21no—
1654C23—23no—
1655C23—21no—
1656C23—23no—
1657C23—43no—
1658C23—43no—
1659C23—43no—
1660C23—46no—
1661C23—46no—
1662C23—83no—
1663C23C23×D413yes—
1664C23C23×D411yescharacteristic
1665C23C23×D413yes—
1666Q8—21no—
1667Q8—26no—
1668Q8—21no—
1669Q8—23no—
1670Q8—23no—
1671Q8—23no—
1672Q8—23no—
1673Q8—21no—
1674Q8—46no—
1675Q8—46no—
1676Q8—46no—
1677Q8—46no—
1678Q8—83no—
1679Q8—83no—
1680Q8—83no—
1681Q8#57514yes—
1682Q8#58512yes—
1683D4—24no—
1684D4—21no—
1685D4—21no—
1686D4—23no—
1687D4—23no—
1688D4—23no—
1689D4—23no—
1690D4—21no—
1691D4—26no—
1692D4—26no—
1693D4—46no—
1694D4—46no—
1695D4—46no—
1696D4—46no—
1697D4—46no—
1698D4—46no—
1699D4—412no—
1700D4—46no—
1701D4—42no—
1702D4—46no—
1703D4—46no—
1704D4—83no—
1705D4—83no—
1706D4—83no—
1707D4—83no—
1708D4—83no—
1709D4—86no—
1710D4—86no—
1711D4—86no—
1712D4—83no—
1713D4—83no—
1714D4#58512yes—
1715C2×C4—24no—
1716C2×C4—21no—
1717C2×C4—23no—
1718C2×C4—23no—
1719C2×C4—23no—
1720C2×C4—23no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—26no—
1724C2×C4—26no—
1725C2×C4—26no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—23no—
1729C2×C4—21no—
1730C2×C4—23no—
1731C2×C4—21no—
1732C2×C4—23no—
1733C2×C4—23no—
1734C2×C4—23no—
1735C2×C4—21no—
1736C2×C4—23no—
1737C2×C4—43no—
1738C2×C4—41no—
1739C2×C4—43no—
1740C2×C4—43no—
1741C2×C4—43no—
1742C2×C4—43no—
1743C2×C4—41no—
1744C2×C4—43no—
1745C2×C4—43no—
1746C2×C4—43no—
1747C2×C4—43no—
1748C2×C4—43no—
1749C2×C4—46no—
1750C2×C4—46no—
1751C2×C4—46no—
1752C2×C4—42no—
1753C2×C4—46no—
1754C2×C4—46no—
1755C2×C4—42no—
1756C2×C4—46no—
1757C2×C4—412no—
1758C2×C4—46no—
1759C2×C4—42no—
1760C2×C4—46no—
1761C2×C4—46no—
1762C2×C4—46no—
1763C2×C4—46no—
1764C2×C4—46no—
1765C2×C4—83no—
1766C2×C4—83no—
1767C2×C4—86no—
1768C2×C4—83no—
1769C2×C4—83no—
1770C2×C4—83no—
1771C2×C4C23×D411yescharacteristic
1772C2×C4C23×D411yescharacteristic
1773C2×C4C23×D411yescharacteristic
1774C2×C4C23×D411yescharacteristic
1775C2×C4C23×D413yes—
1776C2×C4C23×D413yes—
1777C2×C4C23×D413yes—
1778C2×C4C23×D413yes—
1779C2×C4C23×D411yescharacteristic
1780C2×C4C23×D413yes—
1781C2×C4C23×D413yes—
1782C2×C4C2611yescharacteristic
1783C8—23no—
1784C8—23no—
1785C8—23no—
1786C8—23no—
1787C8—21no—
1788C8—21no—
1789C8—21no—
1790C8—21no—
1791C22—21no—
1792C22—22no—
1793C22—23no—
1794C22—23no—
1795C22—21no—
1796C22—23no—
1797C22—23no—
1798C22—21no—
1799C22—23no—
1800C22—23no—
1801C22—41no—
1802C22—41no—
1803C22—43no—
1804C22—41no—
1805C22—43no—
1806C22—43no—
1807C22—41no—
1808C22—43no—
1809C22—43no—
1810C22—41no—
1811C22—43no—
1812C22—86no—
1813C22—812no—
1814C22C24×D411yescharacteristic
1815C4—21no—
1816C4—22no—
1817C4—23no—
1818C4—23no—
1819C4—21no—
1820C4—21no—
1821C4—23no—
1822C4—21no—
1823C4—21no—
1824C4—23no—
1825C4—23no—
1826C4—43no—
1827C4—41no—
1828C4—43no—
1829C4—41no—
1830C4—43no—
1831C4—43no—
1832C4—41no—
1833C4—41no—
1834C4—43no—
1835C4—43no—
1836C4—41no—
1837C4C2×#57516yes—
1838C4C2×#58511yescharacteristic
1839C4C2×#58511yescharacteristic
1840C2—43no—
1841C2—41no—
1842C2—43no—
1843C2—42no—
1844C2—81no—
1845C2—83no—
1846C2—83no—
1847C2#6281111yescharacteristic
1848C2C22×#57511yescharacteristic
1849C2#6309011yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×C4×#41 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62793C2semidirect
2. #412C2semidirect
3. #62124C2semidirect
4. #62122C2semidirect
5. #62106C2semidirect
6. #62105C2semidirect
7. #61976C2semidirect
8. #61974C2semidirect
9. #61958C2semidirect
10. #61957C2semidirect
11. #61909C2semidirect
12. #61903C2semidirect
13. #61846C2semidirect
14. #61840C2semidirect
15. #61743C2semidirect
16. #61734C2semidirect
17. #61608C2semidirect
18. #61599C2semidirect
19. #61470C2semidirect
20. #61469C2semidirect
21. #61466C2semidirect
22. #61465C2semidirect
23. #61462C2semidirect
24. #61461C2semidirect
25. #61460C2semidirect
26. #61459C2semidirect
27. #60972C2semidirect
28. #60961C2semidirect
29. #60559C2semidirect
30. #60546C2semidirect
31. #60283C2semidirect
34. #3518C22semidirect
35. #3518C22semidirect
36. #3517C22semidirect
37. #3517C22semidirect
38. #3506C22semidirect
39. #3506C22semidirect
40. #3502C22semidirect
41. #3497C22semidirect
46. #3483C22semidirect
51. #3482C22semidirect
71. #3444C22semidirect
72. #3444C22semidirect
77. #3400C22semidirect
78. #3399C22semidirect
79. #3398C22semidirect
80. #3397C22semidirect
81. #3395C22semidirect
82. #3392C22semidirect
83. #3392C22semidirect
84. #3391C22semidirect
85. #3387C22semidirect
86. #3386C22semidirect
87. #3385C22semidirect
88. #3384C22semidirect
89. Q8×Q16C22semidirect
90. Q8×SD16C22semidirect
91. Q8×SD16C22semidirect
92. Q8×D8C22semidirect
93. #3375C22semidirect
94. #3374C22semidirect
95. #3373C22semidirect
96. #3372C22semidirect
97. #3369C22semidirect
98. #3368C22semidirect
99. #3367C22semidirect
100. #3366C22semidirect
101. #3363C22semidirect
102. #3363C22semidirect
103. #3362C22semidirect
104. #3362C22semidirect
105. #3359C22semidirect
106. #3359C22semidirect
107. #3358C22semidirect
108. #3358C22semidirect
109. #3357C22semidirect
110. #3356C22semidirect
111. #3354C22semidirect
112. #3353C22semidirect
113. #3350C22semidirect
114. #3349C22semidirect
115. #3348C22semidirect
116. #3347C22semidirect
117. #3342C22semidirect
118. #3341C22semidirect
119. #3340C22semidirect
120. #3340C22semidirect
121. #3333C22semidirect
122. #3332C22semidirect
123. #3331C22semidirect
124. #3330C22semidirect
125. #3329C22semidirect
126. #3328C22semidirect
127. #3325C22semidirect
128. #3324C22semidirect
129. #3321C22semidirect
130. #3319C22semidirect
131. #3317C22semidirect
132. #3315C22semidirect
133. #3313C22semidirect
134. #3311C22semidirect
135. #3309C22semidirect
136. #3307C22semidirect
137. #3305C22semidirect
138. #3305C22semidirect
139. #3304C22semidirect
140. #3304C22semidirect
141. #3303C22semidirect
142. #3303C22semidirect
143. #3302C22semidirect
144. #3302C22semidirect
145. #3287C22semidirect
146. #3284C22semidirect
147. #3284C22semidirect
148. #3283C22semidirect
149. #3278C22semidirect
150. #3276C22semidirect
151. #3274C22semidirect
152. #3272C22semidirect
153. #3271C22semidirect
154. #3269C22semidirect
155. #3268C22semidirect
156. #3267C22semidirect
157. #3256C22semidirect
158. #3256C22semidirect
159. #3248C22semidirect
160. #3248C22semidirect
161. #3247C22semidirect
162. #3247C22semidirect
163. #3240C22semidirect
164. #3237C22semidirect
165. #3235C22semidirect
166. #3231C22semidirect
167. #3231C22semidirect
168. #3228C22semidirect
169. #3228C22semidirect
170. #3219C22semidirect
171. #3216C22semidirect
172. #3214C22semidirect
173. #3210C22semidirect
174. #3210C22semidirect
175. #3207C22semidirect
176. #3207C22semidirect
177. #3197C22semidirect
178. #3197C22semidirect
179. #3191C22semidirect
180. #3191C22semidirect
181. #3185C22semidirect
182. #3184C22semidirect
183. #3182C22semidirect
184. #3182C22semidirect
185. #3181C22semidirect
186. #3180C22semidirect
187. #3117C22semidirect
189. #3116C22semidirect
190. #3116C22semidirect
191. #3116C22semidirect
192. #3116C22semidirect
193. #3116C22semidirect
195. #3115C22semidirect
196. #3115C22semidirect
197. #3115C22semidirect
198. #3115C22semidirect
199. #3115C22semidirect
200. #3114C22semidirect
201. #3113C22semidirect
202. #3112C22semidirect
205. #3111C22semidirect
206. #3111C22semidirect
207. #3111C22semidirect
208. #3111C22semidirect
209. #3111C22semidirect
210. #3110C22semidirect
211. #3109C22semidirect
213. #3107C22semidirect
215. #3106C22semidirect
216. #3102C22semidirect
217. #3102C22semidirect
218. #3102C22semidirect
219. #3102C22semidirect
220. #3093C22semidirect
221. #3093C22semidirect
222. #3091C22semidirect
223. #3078C22semidirect
224. #3077C22semidirect
225. #3076C22semidirect
226. #3076C22semidirect
227. #3037C22semidirect
228. #3036C22semidirect
229. #3035C22semidirect
230. #3035C22semidirect
234. #2989C22semidirect
235. #2989C22semidirect
236. #2988C22semidirect
237. #2988C22semidirect
238. #2984C22semidirect
239. #2984C22semidirect
240. #2974C22semidirect
241. #2974C22semidirect
244. #2970C22semidirect
245. #2970C22semidirect
246. C4×#137C22semidirect
247. C4×#137C22semidirect
248. C4×AGL(1,ℤ/8)C22semidirect
249. C4×AGL(1,ℤ/8)C22semidirect
250. #2943C22semidirect
251. #2943C22semidirect
252. #2920C22semidirect
253. C2×#432C22semidirect

Maximal subgroups

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

subgroupindex
#627932
#4122
#621242
#621222
#621062
#621052
#619762
#619742
#619582
#619572
#619092
#619032
#618462
#618402
#617432
#617342
#616082
#615992
#614702
#614692
#614662
#614652
#614622
#614612
#614602
#614592
#609722
#609612
#605592
#605462
#602832