Finite Group Databasebeta

← #10582666

Subgroups — #10582666

Order 512.

5772 conjugacy classes of subgroups.

The subgroup lattice has 2125 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#62611C212yesmaximal, complemented
4#62609C212yesmaximal, complemented
5#62574C212yesmaximal, complemented
6#62572C212yesmaximal, complemented
7#62521C212yesmaximal, complemented
8#62519C212yesmaximal, complemented
9#62502C212yesmaximal, complemented
10#62499C212yesmaximal, complemented
11#62226C214yesmaximal, complemented
12#62225C214yesmaximal, complemented
13#62184C212yesmaximal, complemented
14#62183C212yesmaximal, complemented
15#62182C212yesmaximal, complemented
16#62181C212yesmaximal, complemented
17#61846C212yesmaximal, complemented
18#61839C212yesmaximal, complemented
19#61742C212yesmaximal, complemented
20#61734C212yesmaximal, complemented
21#61724C214yesmaximal, complemented
22#61715C214yesmaximal, complemented
23#60987C214yesmaximal, complemented
24#60966C211yesmaximal, characteristic, complemented
25#60953C211yesmaximal, characteristic, complemented
26#60876C214yesmaximal, complemented
27#60865C211yesmaximal, characteristic, complemented
28#60863C211yesmaximal, 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#3390C2214yescomplemented
82#3388C2214yescomplemented
83#3387C2214yescomplemented
84#3387C2212yescomplemented
85#3385C2214yescomplemented
86#3385C2212yescomplemented
87#3385C2212yescomplemented
88#3384C2212yescomplemented
89Q8×Q16C2212yescomplemented
90#3381C2212yescomplemented
91#3380C2212yescomplemented
92Q8×SD16C2212yescomplemented
93#3374C2214yescomplemented
94#3374C2212yescomplemented
95#3372C2214yescomplemented
96#3372C2212yescomplemented
97#3371C2214yescomplemented
98#3370C2214yescomplemented
99#3369C2212yescomplemented
100#3367C2212yescomplemented
101#3364C2212yescomplemented
102#3363C2212yescomplemented
103#3360C2212yescomplemented
104#3359C2212yescomplemented
105#3357C2212yescomplemented
106#3357C2212yescomplemented
107#3356C2214yescomplemented
108#3356C2212yescomplemented
109#3354C2214yescomplemented
110#3354C2212yescomplemented
111#3353C2214yescomplemented
112#3353C2214yescomplemented
113#3352C2214yescomplemented
114#3352C2214yescomplemented
115#3351C2214yescomplemented
116#3351C2214yescomplemented
117#3350C2214yescomplemented
118#3350C2214yescomplemented
119#3349C2214yescomplemented
120#3349C2214yescomplemented
121#3349C2214yescomplemented
122#3348C2214yescomplemented
123#3346C2214yescomplemented
124#3345C2214yescomplemented
125#3344C2214yescomplemented
126#3344C2214yescomplemented
127#3343C2214yescomplemented
128#3343C2214yescomplemented
129#3341C2212yescomplemented
130#3340C2212yescomplemented
131#3338C2212yescomplemented
132#3335C2212yescomplemented
133#3331C2214yescomplemented
134#3331C2212yescomplemented
135#3330C2214yescomplemented
136#3330C2212yescomplemented
137#3329C2214yescomplemented
138#3329C2212yescomplemented
139#3328C2214yescomplemented
140#3328C2212yescomplemented
141#3327C2214yescomplemented
142#3327C2214yescomplemented
143#3326C2214yescomplemented
144#3326C2214yescomplemented
145#3321C2214yescomplemented
146#3320C2214yescomplemented
147#3320C2214yescomplemented
148#3317C2214yescomplemented
149#3316C2214yescomplemented
150#3315C2214yescomplemented
151#3313C2214yescomplemented
152#3312C2214yescomplemented
153#3312C2214yescomplemented
154#3309C2214yescomplemented
155#3308C2214yescomplemented
156#3307C2214yescomplemented
157#3303C2212yescomplemented
158#3302C2212yescomplemented
159#3299C2212yescomplemented
160#3298C2212yescomplemented
161#3263C2214yescomplemented
162#3262C2214yescomplemented
163#3258C2214yescomplemented
164#3258C2214yescomplemented
165#3252C2212yescomplemented
166#3252C2212yescomplemented
167#3252C2212yescomplemented
168#3251C2212yescomplemented
169#3244C2214yescomplemented
170#3244C2214yescomplemented
171#3243C2214yescomplemented
172#3243C2214yescomplemented
173#3242C2214yescomplemented
174#3242C2214yescomplemented
175#3242C2214yescomplemented
176#3242C2214yescomplemented
177#3242C2214yescomplemented
178#3241C2214yescomplemented
179#3240C2214yes—
180#3240C2212yes—
181#3237C2214yes—
182#3237C2212yes—
183#3237C2214yes—
184#3237C2212yescomplemented
185#3237C2211yescharacteristic, complemented
186#3236C2212yescomplemented
187#3236C2212yescomplemented
188#3235C2212yes—
189#3235C2212yescomplemented
190#3235C2211yescharacteristic, complemented
191#3233C2214yes—
192#3233C2214yes—
193#3233C2212yescomplemented
194#3233C2212yescomplemented
195#3231C2214yes—
196#3231C2212yes—
197#3231C2212yes—
198#3231C2212yes—
199#3230C2211yescharacteristic, complemented
200#3230C2211yescharacteristic, complemented
201#3230C2211yescharacteristic, complemented
202#3229C2211yescharacteristic, complemented
203#3229C2211yescharacteristic, complemented
204#3227C2211yescharacteristic, complemented
205#3223C2214yescomplemented
206#3221C2214yescomplemented
207#3219C2212yes—
208#3216C2211yescharacteristic, complemented
209#3214C2211yescharacteristic, complemented
210#3210C2212yes—
211#3209C2211yescharacteristic, complemented
212#3206C2211yescharacteristic, complemented
213#3197C2212yes—
214#3197C2212yes—
215#3197C2214yes—
216#3196C2214yes—
217#3196C2214yes—
218#3191C2214yes—
219#3190C2214yes—
220#3185C2212yescomplemented
221#3182C2212yescomplemented
222#3179C2214yescomplemented
223#3178C2214yescomplemented
224#3177C2214yescomplemented
225#3174C2214yescomplemented
226#3172C2212yescomplemented
227#3171C2212yescomplemented
228#3166C2212yescomplemented
229#3165C2212yescomplemented
230#3164C2214yescomplemented
231#3163C2214yescomplemented
232#3142C2212yescomplemented
233#3139C2212yescomplemented
234#3137C2214yescomplemented
235#3137C2214yescomplemented
236#3125C2214yescomplemented
237#3124C2214yescomplemented
238#3121C2214yescomplemented
239#3121C2214yescomplemented
240#3117C2214yescomplemented
241#3116C2214yes—
242#3116C2212yes—
243#3116C2212yes—
244#3111C2214yes—
245#3107C2212yes—
246#3107C2214yes—
247#3106C2212yes—
248#3102C2214yes—
249#3102C2212yescomplemented
250#3102C2212yescomplemented
251#3095C2212yes—
252#3095C2212yes—
253#3095C2214yes—
254#3093C2214yes—
255#3093C2214yes—
256#3091C2214yes—
257C2×#485C2214yes—
258#3084C2214yescomplemented
259#3083C2214yescomplemented
260#3082C2214yescomplemented
261#3082C2214yescomplemented
262#3079C2212yescomplemented
263#3079C2212yescomplemented
264#3078C2214yescomplemented
265#2995C2214yes—
266#2993C2212yes—
267#2993C2212yes—
268#2984C2212yes—
269#2975C2212yes—
270#2974C2212yes—
271#2973C2212yes—
272#2969C2212yes—
273#2969C2212yes—
274#2967C2212yes—
275#2967C2212yes—
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#554C2312yes—
340#554C2314yes—
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#547C2312yes—
392#547C2314yes—
393#547C2312yes—
394#547C2314yes—
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#533C2314yes—
486#533C2311yescharacteristic
487#533C2311yescharacteristic
488#533C2311yescharacteristic
489#533C2312yes—
490#533C2311yescharacteristic
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#500C2312yes—
610#499C2314yes—
611#499C2314yes—
612#499C2314yes—
613#499C2314yes—
614#498C2312yes—
615#498C2312yes—
616#498C2314yes—
617#498C2312yes—
618#497C2312yes—
619#496C2312yes—
620#494C2312yes—
621#492C2312yes—
622#491C2314yes—
623#491C2314yes—
624#491C2314yes—
625#491C2314yes—
626#491C2314yes—
627#491C2312yes—
628#490C2314yes—
629#490C2312yes—
630#489C2314yes—
631#489C2314yes—
632#489C2312yes—
633#489C2312yes—
634#488C2314yes—
635#488C2314yes—
636#488C2314yes—
637#488C2314yes—
638#487C2314yes—
639#487C2312yes—
640#487C2314yes—
641#487C2312yes—
642#487C2312yes—
643#487C2312yes—
644#487C2312yes—
645#487C2312yes—
646#487C2312yes—
647#486C2312yes—
648#485C2314yes—
649#485C2314yes—
650#485C2314yes—
651#485C2314yes—
652#485C2314yes—
653#485C2314yes—
654#485C2314yes—
655#485C2312yes—
656#485C2314yes—
657#485C2314yes—
658#485C2314yes—
659#485C2314yes—
660#485C2314yes—
661#485C2312yes—
662#485C2314yes—
663#485C2314yes—
664#485C2314yes—
665#485C2314yes—
666#485C2314yes—
667#485C2314yes—
668#485C2312yes—
669#485C2312yes—
670#484C2312yes—
671#484C2314yes—
672#484C2314yes—
673#484C2314yes—
674#484C2312yes—
675#484C2314yes—
676#484C2314yes—
677#484C2312yes—
678#484C2312yes—
679#483C2312yes—
680#483C2314yes—
681#483C2314yes—
682#483C2314yes—
683#483C2312yes—
684#483C2314yes—
685#483C2312yes—
686#483C2312yes—
687#482C2314yes—
688#482C2314yes—
689#482C2314yes—
690#482C2312yes—
691#482C2314yes—
692#482C2314yes—
693#482C2312yes—
694#482C2314yes—
695#482C2314yes—
696#482C2314yes—
697#482C2312yes—
698#482C2312yes—
699#481C2314yes—
700#481C2314yes—
701#481C2314yes—
702#480C2314yes—
703#480C2314yes—
704#479C2314yes—
705#479C2314yes—
706#479C2314yes—
707#479C2314yes—
708#479C2312yes—
709#479C2312yes—
710#479C2314yes—
711#479C2314yes—
712#479C2314yes—
713#479C2314yes—
714#479C2314yes—
715#479C2314yes—
716#479C2314yes—
717#479C2314yes—
718#479C2314yes—
719#479C2314yes—
720#478C2312yes—
721#478C2314yes—
722#478C2312yes—
723#478C2314yes—
724#478C2314yes—
725#478C2314yes—
726#477C2312yes—
727#477C2314yes—
728#477C2314yes—
729#477C2314yes—
730#477C2314yes—
731#477C2312yes—
732#477C2314yes—
733#477C2312yes—
734#477C2314yes—
735#477C2312yes—
736#477C2314yes—
737#477C2312yes—
738#476C2312yes—
739#476C2314yes—
740#476C2314yes—
741#476C2312yes—
742#476C2312yes—
743#476C2312yes—
744#476C2314yes—
745#476C2312yes—
746#475C2312yes—
747#475C2314yes—
748#475C2314yes—
749#475C2314yes—
750#475C2314yes—
751#475C2312yes—
752#475C2314yes—
753#475C2314yes—
754#475C2312yes—
755#475C2314yes—
756#474C2312yes—
757#474C2314yes—
758#474C2314yes—
759#474C2312yes—
760#474C2312yes—
761#474C2314yes—
762#470C2312yes—
763#470C2314yes—
764#470C2314yes—
765#470C2314yes—
766#470C2314yes—
767#470C2312yes—
768#470C2314yes—
769#469C2312yes—
770#469C2312yes—
771#469C2314yes—
772#468C2312yes—
773#468C2314yes—
774#468C2314yes—
775#468C2314yes—
776#468C2314yes—
777#468C2312yes—
778#468C2312yes—
779#468C2314yes—
780#468C2312yes—
781#468C2314yes—
782#467C2314yes—
783#467C2314yes—
784#467C2314yes—
785#466C2314yes—
786#465C2314yes—
787#465C2314yes—
788#465C2314yes—
789#465C2314yes—
790#464C2314yes—
791#464C2312yes—
792#464C2312yes—
793#464C2314yes—
794#464C2314yes—
795#464C2314yes—
796#463C2314yes—
797#463C2312yes—
798#463C2312yes—
799#463C2314yes—
800#462C2314yes—
801#462C2312yes—
802#462C2312yes—
803#462C2312yes—
804#462C2314yes—
805#461C2314yes—
806#461C2312yes—
807#461C2312yes—
808#461C2314yes—
809#461C2312yes—
810#460C2312yes—
811#459C2312yes—
812#452C2312yes—
813#452C2314yes—
814#452C2314yes—
815#452C2314yes—
816#452C2312yes—
817#452C2312yes—
818#452C2312yes—
819#452C2314yes—
820#451C2314yes—
821#451C2314yes—
822#451C2314yes—
823#449C2312yes—
824#449C2314yes—
825#449C2314yes—
826#449C2312yes—
827#449C2312yes—
828#449C2312yes—
829#448C2314yes—
830#448C2314yes—
831#448C2314yes—
832#446C2312yes—
833#446C2312yes—
834#446C2314yes—
835#446C2314yes—
836C8×Q8C2312yes—
837C8×Q8C2312yes—
838#442C2314yes—
839#441C2314yes—
840#441C2314yes—
841#441C2314yes—
842#441C2314yes—
843#441C2314yes—
844#440C2314yes—
845#440C2314yes—
846#440C2314yes—
847#440C2314yes—
848#440C2314yes—
849#440C2314yes—
850C4×Q16C2312yes—
851C4×Q16C2314yes—
852C4×Q16C2314yes—
853C4×Q16C2314yes—
854C4×Q16C2312yes—
855C4×SD16C2312yes—
856C4×SD16C2314yes—
857C4×SD16C2312yes—
858C4×SD16C2314yes—
859C4×SD16C2314yes—
860C4×SD16C2314yes—
861C4×SD16C2312yes—
862C4×SD16C2312yes—
863C4×D8C2312yes—
864C4×D8C2314yes—
865C4×D8C2312yes—
866#436C2312yes—
867#436C2314yes—
868#436C2312yes—
869#436C2314yes—
870#436C2314yes—
871#436C2314yes—
872#435C2314yes—
873#435C2314yes—
874#435C2314yes—
875#435C2314yes—
876#435C2314yes—
877#435C2314yes—
878C8×D4C2312yes—
879C8×D4C2312yes—
880#433C2314yes—
881#433C2314yes—
882#433C2314yes—
883#433C2314yes—
884#432C2314yes—
885#432C2312yes—
886#432C2312yes—
887#432C2312yes—
888#432C2311yescharacteristic
889#432C2311yescharacteristic
890#431C2314yes—
891#431C2311yescharacteristic
892#431C2311yescharacteristic
893#431C2312yes—
894#431C2312yes—
895#431C2311yescharacteristic
896#431C2311yescharacteristic
897#428C2314yes—
898#428C2314yes—
899#428C2314yes—
900#428C2314yes—
901#428C2314yes—
902#428C2314yes—
903#428C2314yes—
904#428C2314yes—
905#427C2314yes—
906#427C2314yes—
907C2×#107C2314yes—
908C2×#106C2314yes—
909#424C2314yes—
910#424C2314yes—
911#423C2312yes—
912#423C2312yes—
913#419C2314yes—
914#419C2314yes—
915#419C2314yes—
916#419C2314yes—
917#417C2314yes—
918#417C2314yes—
919#417C2314yes—
920#417C2314yes—
921#416C2314yes—
922#416C2314yes—
923C2×#103C2314yes—
924C2×#103C2314yes—
925#407C2312yes—
926#407C2314yes—
927#407C2311yescharacteristic
928#407C2311yescharacteristic
929C2×C22⋊C8C2314yes—
930#405C2314yes—
931#405C2314yes—
932C4×M16C2312yes—
933C4×M16C2312yes—
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×Q16C2414yes—
959C2×Q16C2412yes—
960C2×Q16C2414yes—
961C2×SD16C2412yes—
962C2×SD16C2412yes—
963C2×SD16C2414yes—
964C2×SD16C2412yes—
965C2×SD16C2414yes—
966C2×SD16C2412yes—
967C2×D8C2412yes—
968C2×D8C2412yes—
969C2×M16C2414yes—
970C2×M16C2412yes—
971C2×M16C2412yes—
972C2×M16C2414yes—
973C2×M16C2414yes—
974C22×C8C2414yes—
975C22×C8C2414yes—
976C4⋊Q8—22no—
977C4⋊Q8—22no—
978C4⋊Q8—24no—
979C4⋊Q8—22no—
980C4⋊Q8—24no—
981C4⋊Q8—24no—
982C4⋊Q8—24no—
983C4⋊Q8—22no—
984C4⋊Q8—22no—
985C4⋊Q8—22no—
986C4⋊Q8—22no—
987C4⋊Q8—24no—
988C4⋊Q8—24no—
989C4⋊Q8—24no—
990C4⋊Q8—24no—
991C4⋊Q8—24no—
992C4⋊Q8—24no—
993C4⋊Q8—21no—
994C4⋊Q8—21no—
995C4⋊Q8—21no—
996C4⋊Q8—21no—
997C4⋊Q8—21no—
998C4⋊Q8—21no—
999C4⋊Q8—21no—
1000C4⋊Q8—21no—
1001C4⋊Q8C2412yes—
1002C4⋊Q8C2411yescharacteristic
1003C4⋊Q8C2411yescharacteristic
1004C4⋊Q8C2411yescharacteristic
1005C4⋊Q8C2411yescharacteristic
1006C4⋊Q8C2414yes—
1007C4⋊Q8C2412yes—
1008C4⋊Q8C2412yes—
1009C4⋊Q8C2412yes—
1010C4⋊Q8C2412yes—
1011C4⋊Q8C2411yescharacteristic
1012C4⋊Q8C2412yes—
1013C4⋊Q8C2411yescharacteristic
1014C4⋊Q8C2411yescharacteristic
1015C4⋊Q8C2411yescharacteristic
1016C4⋊Q8C2411yescharacteristic
1017C4⋊Q8C2411yescharacteristic
1018C4⋊Q8C2414yes—
1019C4⋊Q8C2414yes—
1020C4⋊Q8C2414yes—
1021#127—22no—
1022#127C2411yescharacteristic
1023#127C2411yescharacteristic
1024#126—24no—
1025#126—24no—
1026#126—24no—
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—22no—
1050#126—22no—
1051#126—22no—
1052#126—22no—
1053#126—24no—
1054#126C2×D414yes—
1055#126C2×D414yes—
1056#126C2×D414yes—
1057#126C2×D414yes—
1058#125—24no—
1059#125—24no—
1060#125—22no—
1061#125—22no—
1062#125—24no—
1063#125—24no—
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—24no—
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—21no—
1087#125—21no—
1088#125—22no—
1089#125—22no—
1090#125—21no—
1091#125—21no—
1092#125—22no—
1093#125—22no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125—21no—
1098#125—24no—
1099#125C2×D412yes—
1100#125C2×D412yes—
1101#125C2×D412yes—
1102#125C2×D412yes—
1103#125C2414yes—
1104#125C2414yes—
1105#125C2412yes—
1106#125C2412yes—
1107#125C2414yes—
1108#125C2414yes—
1109#125C2414yes—
1110#124—22no—
1111#124—22no—
1112#124—22no—
1113#124—24no—
1114#124—24no—
1115#124—24no—
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—21no—
1126#124—21no—
1127#124—21no—
1128#124—21no—
1129#124C2×D412yes—
1130#124C2×D412yes—
1131#124C2×D412yes—
1132#124C2×D412yes—
1133#124C2412yes—
1134#124C2412yes—
1135#124C2414yes—
1136#123—24no—
1137#123—24no—
1138#123—24no—
1139#123—24no—
1140#123—24no—
1141#123—22no—
1142#123—22no—
1143#123—22no—
1144#123—22no—
1145#123—22no—
1146#123—22no—
1147#123—24no—
1148#123—24no—
1149#123—24no—
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#123C2×D414yes—
1171#123C2×D414yes—
1172#123C2×D414yes—
1173#123C2×D414yes—
1174C22⋊Q8—22no—
1175C22⋊Q8—22no—
1176C22⋊Q8—22no—
1177C22⋊Q8—24no—
1178C22⋊Q8—22no—
1179C22⋊Q8—21no—
1180C22⋊Q8—22no—
1181C22⋊Q8—22no—
1182C22⋊Q8—21no—
1183C22⋊Q8—22no—
1184C22⋊Q8—21no—
1185C22⋊Q8—21no—
1186C22⋊Q8—22no—
1187C22⋊Q8—22no—
1188C22⋊Q8—22no—
1189C22⋊Q8—22no—
1190C22⋊Q8—22no—
1191C22⋊Q8—22no—
1192C22⋊Q8—22no—
1193C22⋊Q8—22no—
1194C22⋊Q8—24no—
1195C22⋊Q8—24no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—24no—
1205C22⋊Q8—24no—
1206C22⋊Q8—24no—
1207C22⋊Q8—24no—
1208C22⋊Q8—22no—
1209C22⋊Q8—24no—
1210C22⋊Q8—24no—
1211C22⋊Q8—24no—
1212C22⋊Q8—22no—
1213C22⋊Q8—24no—
1214C22⋊Q8—24no—
1215C22⋊Q8—24no—
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⋊Q8C2×D412yes—
1244C22⋊Q8C2×D412yes—
1245C22⋊Q8C2×D412yes—
1246C22⋊Q8C2×D412yes—
1247C22⋊Q8C2412yes—
1248C22⋊Q8C2412yes—
1249C22⋊Q8C2412yes—
1250C22⋊Q8C2412yes—
1251C22⋊Q8C2412yes—
1252C22⋊Q8C2414yes—
1253C22⋊Q8C2414yes—
1254C22⋊Q8C2412yes—
1255C22⋊Q8C2412yes—
1256C22⋊Q8C2412yes—
1257C22⋊Q8C2414yes—
1258C22⋊Q8C2414yes—
1259C22⋊Q8C2414yes—
1260#121—22no—
1261#121—22no—
1262#121—24no—
1263#121—24no—
1264#121—22no—
1265#121—24no—
1266#121—24no—
1267#121—24no—
1268#121—24no—
1269#121—24no—
1270#121—21no—
1271#121—21no—
1272#121—21no—
1273#121—21no—
1274#121—21no—
1275#121—21no—
1276#121—21no—
1277#121—21no—
1278#121—24no—
1279#121—24no—
1280#121—24no—
1281#121C2×D412yes—
1282#121C2×D412yes—
1283#121C2×D412yes—
1284#121C2×D412yes—
1285#121C2412yes—
1286#121C2412yes—
1287#121C2412yes—
1288#121C2412yes—
1289#121C2414yes—
1290#121C2414yes—
1291#121C2414yes—
1292#120—22no—
1293#120—22no—
1294#120—24no—
1295#120—24no—
1296C4×Q8—22no—
1297C4×Q8—22no—
1298C4×Q8—22no—
1299C4×Q8—22no—
1300C4×Q8—22no—
1301C4×Q8—22no—
1302C4×Q8—24no—
1303C4×Q8—22no—
1304C4×Q8—24no—
1305C4×Q8—24no—
1306C4×Q8—24no—
1307C4×Q8—22no—
1308C4×Q8—24no—
1309C4×Q8—22no—
1310C4×Q8—22no—
1311C4×Q8—24no—
1312C4×Q8—22no—
1313C4×Q8—22no—
1314C4×Q8—22no—
1315C4×Q8—22no—
1316C4×Q8—22no—
1317C4×Q8—22no—
1318C4×Q8—21no—
1319C4×Q8—22no—
1320C4×Q8—22no—
1321C4×Q8—21no—
1322C4×Q8—22no—
1323C4×Q8—21no—
1324C4×Q8—21no—
1325C4×Q8—22no—
1326C4×Q8—22no—
1327C4×Q8—24no—
1328C4×Q8—21no—
1329C4×Q8—21no—
1330C4×Q8—21no—
1331C4×Q8—21no—
1332C4×Q8—21no—
1333C4×Q8—21no—
1334C4×Q8—21no—
1335C4×Q8—21no—
1336C4×Q8—24no—
1337C4×Q8C2×D412yes—
1338C4×Q8C2×D412yes—
1339C4×Q8C2412yes—
1340C4×Q8C2412yes—
1341C4×Q8C2412yes—
1342C4×Q8C2412yes—
1343C4×Q8C2412yes—
1344C4×Q8C2412yes—
1345C4×Q8C2412yes—
1346C4×Q8C2412yes—
1347C4×Q8C2414yes—
1348C4×Q8C2414yes—
1349C4×Q8C2414yes—
1350C4×Q8C2414yes—
1351C4×Q8C2414yes—
1352C4×Q8C2412yes—
1353C4×Q8C2412yes—
1354C4×D4—24no—
1355C4×D4—22no—
1356C4×D4—22no—
1357C4×D4—22no—
1358C4×D4—22no—
1359C4×D4—22no—
1360C4×D4—24no—
1361C4×D4—22no—
1362C4×D4—22no—
1363C4×D4—22no—
1364C4×D4—22no—
1365C4×D4—22no—
1366C4×D4—22no—
1367C4×D4—24no—
1368C4×D4—24no—
1369C4×D4—22no—
1370C4×D4—22no—
1371C4×D4—22no—
1372C4×D4—22no—
1373C4×D4—22no—
1374C4×D4—22no—
1375C4×D4—24no—
1376C4×D4—24no—
1377C4×D4—24no—
1378C4×D4—24no—
1379C4×D4—24no—
1380C4×D4—22no—
1381C4×D4—22no—
1382C4×D4—24no—
1383C4×D4—24no—
1384C4×D4—24no—
1385C4×D4—24no—
1386C4×D4—24no—
1387C4×D4—24no—
1388C4×D4—24no—
1389C4×D4—21no—
1390C4×D4—21no—
1391C4×D4—21no—
1392C4×D4—21no—
1393C4×D4—21no—
1394C4×D4—21no—
1395C4×D4—21no—
1396C4×D4—21no—
1397C4×D4C2×D414yes—
1398C4×D4C2×D412yes—
1399C4×D4C2×D414yes—
1400C4×D4C2×D412yes—
1401C4×D4C2412yes—
1402C4×D4C2412yes—
1403C4×D4C2412yes—
1404C4×D4C2412yes—
1405C4×D4C2414yes—
1406C4×D4C2414yes—
1407C4×D4C2414yes—
1408C4×D4C2414yes—
1409C4×D4C2412yes—
1410C4×D4C2414yes—
1411C4×D4C2412yes—
1412#117—21no—
1413#117—21no—
1414#117—22no—
1415#117—22no—
1416#117—21no—
1417#117—21no—
1418#117—24no—
1419#117—22no—
1420#117—22no—
1421#117—24no—
1422#117—21no—
1423#117—21no—
1424#117—21no—
1425#117—21no—
1426#117—24no—
1427#117—22no—
1428#117—24no—
1429#117—22no—
1430#117—22no—
1431#117—24no—
1432#117—24no—
1433#117—24no—
1434#117—24no—
1435#117—24no—
1436#117—24no—
1437#117—24no—
1438#117—24no—
1439#117—22no—
1440#117—22no—
1441#117—22no—
1442#117—22no—
1443#117—24no—
1444#117—22no—
1445#117—22no—
1446#117—24no—
1447#117C2×D414yes—
1448#117C2×D414yes—
1449#117C2412yes—
1450#117C2414yes—
1451#117C2414yes—
1452#117C2414yes—
1453#117C2414yes—
1454#117C2412yes—
1455#117C2414yes—
1456#117C2414yes—
1457#117C2414yes—
1458C2×C4⋊C4—21no—
1459C2×C4⋊C4—21no—
1460C2×C4⋊C4—22no—
1461C2×C4⋊C4—22no—
1462C2×C4⋊C4—22no—
1463C2×C4⋊C4—21no—
1464C2×C4⋊C4—21no—
1465C2×C4⋊C4—21no—
1466C2×C4⋊C4—22no—
1467C2×C4⋊C4—24no—
1468C2×C4⋊C4—22no—
1469C2×C4⋊C4—24no—
1470C2×C4⋊C4—24no—
1471C2×C4⋊C4—22no—
1472C2×C4⋊C4—22no—
1473C2×C4⋊C4—24no—
1474C2×C4⋊C4C2×D412yes—
1475C2×C4⋊C4C2×D412yes—
1476C2×C4⋊C4C2×D411yescharacteristic
1477C2×C4⋊C4C2×D412yes—
1478C2×C4⋊C4C2×D411yescharacteristic
1479C2×C4⋊C4C2×D412yes—
1480C2×C4⋊C4C2412yes—
1481C2×C4⋊C4C2412yes—
1482C2×C4⋊C4C2414yes—
1483C2×C4⋊C4C2414yes—
1484C2×C4⋊C4C2412yes—
1485C2×C4⋊C4C2414yes—
1486C2×C22⋊C4—22no—
1487C2×C22⋊C4—22no—
1488C2×C22⋊C4—24no—
1489C2×C22⋊C4—24no—
1490C2×C22⋊C4C2×D412yes—
1491C2×C22⋊C4C2×D412yes—
1492C2×C22⋊C4C2×D412yes—
1493C2×C22⋊C4C2×D412yes—
1494C2×C22⋊C4C2×D412yes—
1495C2×C42—22no—
1496C2×C42—22no—
1497C2×C42—24no—
1498C2×C42—22no—
1499C2×C42—24no—
1500C2×C42—22no—
1501C2×C42C2×D411yescharacteristic
1502C2×C42C2×D411yescharacteristic
1503C2×C42C2×D411yescharacteristic
1504C2×C42C2×D411yescharacteristic
1505C2×C42C2×D411yescharacteristic
1506C2×C42C2×D411yescharacteristic
1507C2×C42C2411yescharacteristic
1508C2×C42C2412yes—
1509C2×C42C2411yescharacteristic
1510C2×C42C2411yescharacteristic
1511C2×C42C2411yescharacteristic
1512C2×C42C2411yescharacteristic
1513C2×C42C2411yescharacteristic
1514#107C2412yes—
1515#107C2414yes—
1516#107C2414yes—
1517#107C2414yes—
1518#107C2412yes—
1519#107C2414yes—
1520#107C2414yes—
1521#107C2414yes—
1522#107C2414yes—
1523#107C2412yes—
1524#107C2414yes—
1525#107C2414yes—
1526#107C2414yes—
1527#107C2412yes—
1528#106C2412yes—
1529#106C2414yes—
1530#106C2414yes—
1531#106C2414yes—
1532#106C2412yes—
1533#106C2414yes—
1534#106C2414yes—
1535#106C2414yes—
1536#106C2414yes—
1537#106C2414yes—
1538#106C2414yes—
1539#106C2412yes—
1540#106C2412yes—
1541#106C2414yes—
1542C4⋊C8C2412yes—
1543C4⋊C8C2412yes—
1544C4⋊C8C2414yes—
1545C4⋊C8C2412yes—
1546C4⋊C8C2412yes—
1547C4⋊C8C2412yes—
1548C4⋊C8C2412yes—
1549C4⋊C8C2414yes—
1550C4⋊C8C2414yes—
1551C4⋊C8C2414yes—
1552C4⋊C8C2414yes—
1553#103C2412yes—
1554#103C2412yes—
1555#103C2414yes—
1556#103C2414yes—
1557#103C2414yes—
1558#103C2414yes—
1559#103C2414yes—
1560#103C2414yes—
1561#103C2414yes—
1562#103C2414yes—
1563#103C2414yes—
1564#103C2414yes—
1565#103C2414yes—
1566#103C2414yes—
1567#103C2414yes—
1568#103C2414yes—
1569#103C2414yes—
1570#103C2412yes—
1571#103C2414yes—
1572#103C2412yes—
1573#103C2412yes—
1574#103C2414yes—
1575#103C2412yes—
1576#103C2412yes—
1577#103C2412yes—
1578#103C2414yes—
1579#102C2412yes—
1580#102C2412yes—
1581#102C2414yes—
1582#102C2414yes—
1583#102C2412yes—
1584#102C2414yes—
1585#102C2412yes—
1586#102C2414yes—
1587#102C2412yes—
1588#102C2412yes—
1589#102C2414yes—
1590#102C2412yes—
1591#102C2412yes—
1592#102C2414yes—
1593C22⋊C8C2412yes—
1594C22⋊C8C2414yes—
1595C22⋊C8C2414yes—
1596C22⋊C8C2414yes—
1597C22⋊C8C2412yes—
1598C22⋊C8C2411yescharacteristic
1599C22⋊C8C2411yescharacteristic
1600C22⋊C8C2412yes—
1601C22⋊C8C2412yes—
1602C22⋊C8C2411yescharacteristic
1603C22⋊C8C2411yescharacteristic
1604C22⋊C8C2414yes—
1605C22⋊C8C2414yes—
1606#97C2412yes—
1607#97C2412yes—
1608#97C2414yes—
1609#97C2414yes—
1610#97C2414yes—
1611C4×C8C2412yes—
1612C4×C8C2412yes—
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—22no—
1639C2×Q8—24no—
1640C2×Q8—22no—
1641C2×Q8—22no—
1642C2×Q8—21no—
1643C2×Q8—24no—
1644C2×Q8—21no—
1645C2×Q8—21no—
1646C2×Q8—24no—
1647C2×Q8—21no—
1648C2×Q8—42no—
1649C2×Q8—44no—
1650C2×Q8—44no—
1651C2×Q8—44no—
1652C2×Q8—82no—
1653C2×Q8—82no—
1654C2×Q8—82no—
1655C2×Q8—84no—
1656C2×Q8C22×D412yes—
1657C2×Q8C22×D412yes—
1658C2×Q8C2512yes—
1659C2×Q8C2512yes—
1660C2×Q8C2512yes—
1661C2×Q8C2512yes—
1662C2×D4—22no—
1663C2×D4—22no—
1664C2×D4—22no—
1665C2×D4—22no—
1666C2×D4—22no—
1667C2×D4—24no—
1668C2×D4—24no—
1669C2×D4—22no—
1670C2×D4—24no—
1671C2×D4—24no—
1672C2×D4—21no—
1673C2×D4—21no—
1674C2×D4—21no—
1675C2×D4—21no—
1676C2×D4—42no—
1677C2×D4—82no—
1678C2×D4C22×D412yes—
1679C2×D4C22×D412yes—
1680C2×D4C22×D414yes—
1681C2×D4C22×D414yes—
1682C2×D4C2512yes—
1683C2×D4C2512yes—
1684C22×C4—22no—
1685C22×C4—22no—
1686C22×C4—22no—
1687C22×C4—22no—
1688C22×C4—24no—
1689C22×C4—24no—
1690C22×C4—24no—
1691C22×C4—24no—
1692C22×C4—22no—
1693C22×C4—22no—
1694C22×C4—22no—
1695C22×C4—22no—
1696C22×C4—22no—
1697C22×C4—22no—
1698C22×C4—24no—
1699C22×C4—24no—
1700C22×C4—24no—
1701C22×C4—24no—
1702C22×C4—42no—
1703C22×C4—44no—
1704C22×C4—42no—
1705C22×C4—81no—
1706C22×C4C22×D411yescharacteristic
1707C22×C4C22×D411yescharacteristic
1708C22×C4C22×D411yescharacteristic
1709C22×C4C22×D411yescharacteristic
1710C22×C4C22×D411yescharacteristic
1711C22×C4C22×D414yes—
1712C22×C4C22×D411yescharacteristic
1713C22×C4C22×D411yescharacteristic
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×D412yes—
1723C22×C4C22×D412yes—
1724C22×C4C22×D412yes—
1725C22×C4C2511yescharacteristic
1726C22×C4C2511yescharacteristic
1727C22×C4C2511yescharacteristic
1728C22×C4C2514yes—
1729Q16—42no—
1730Q16—44no—
1731Q16—44no—
1732Q16—42no—
1733SD16—42no—
1734SD16—42no—
1735SD16—44no—
1736SD16—44no—
1737SD16—42no—
1738SD16—42no—
1739D8—42no—
1740D8—42no—
1741M16—42no—
1742M16—44no—
1743M16—44no—
1744M16—44no—
1745M16—42no—
1746C2×C8—44no—
1747C2×C8—44no—
1748C2×C8C2512yes—
1749C2×C8C2512yes—
1750C2×C8C2514yes—
1751C2×C8C2514yes—
1752C2×C8C2512yes—
1753C2×C8C2512yes—
1754C4⋊C4—21no—
1755C4⋊C4—21no—
1756C4⋊C4—22no—
1757C4⋊C4—22no—
1758C4⋊C4—22no—
1759C4⋊C4—22no—
1760C4⋊C4—24no—
1761C4⋊C4—22no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—21no—
1765C4⋊C4—21no—
1766C4⋊C4—22no—
1767C4⋊C4—22no—
1768C4⋊C4—22no—
1769C4⋊C4—22no—
1770C4⋊C4—22no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—21no—
1782C4⋊C4—22no—
1783C4⋊C4—22no—
1784C4⋊C4—24no—
1785C4⋊C4—22no—
1786C4⋊C4—22no—
1787C4⋊C4—21no—
1788C4⋊C4—22no—
1789C4⋊C4—22no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—22no—
1793C4⋊C4—22no—
1794C4⋊C4—22no—
1795C4⋊C4—22no—
1796C4⋊C4—22no—
1797C4⋊C4—24no—
1798C4⋊C4—21no—
1799C4⋊C4—21no—
1800C4⋊C4—21no—
1801C4⋊C4—24no—
1802C4⋊C4—21no—
1803C4⋊C4—21no—
1804C4⋊C4—21no—
1805C4⋊C4—21no—
1806C4⋊C4—21no—
1807C4⋊C4—22no—
1808C4⋊C4—24no—
1809C4⋊C4—24no—
1810C4⋊C4—22no—
1811C4⋊C4—22no—
1812C4⋊C4—22no—
1813C4⋊C4—24no—
1814C4⋊C4—24no—
1815C4⋊C4—22no—
1816C4⋊C4—22no—
1817C4⋊C4—22no—
1818C4⋊C4—24no—
1819C4⋊C4—22no—
1820C4⋊C4—22no—
1821C4⋊C4—24no—
1822C4⋊C4—24no—
1823C4⋊C4—24no—
1824C4⋊C4—24no—
1825C4⋊C4—24no—
1826C4⋊C4C22×D412yes—
1827C4⋊C4C22×D412yes—
1828C4⋊C4C22×D414yes—
1829C4⋊C4C22×D414yes—
1830C4⋊C4C22×D414yes—
1831C4⋊C4C22×D414yes—
1832C4⋊C4C22×D414yes—
1833C4⋊C4C22×D414yes—
1834C4⋊C4C22×D414yes—
1835C4⋊C4C22×D412yes—
1836C4⋊C4C22×D412yes—
1837C4⋊C4C22×D414yes—
1838C4⋊C4C2512yes—
1839C4⋊C4C2514yes—
1840C4⋊C4C2512yes—
1841C4⋊C4C2514yes—
1842C4⋊C4C2512yes—
1843C4⋊C4C2512yes—
1844C4⋊C4C2512yes—
1845C4⋊C4C2512yes—
1846C22⋊C4—22no—
1847C22⋊C4—22no—
1848C22⋊C4—24no—
1849C22⋊C4—22no—
1850C22⋊C4—22no—
1851C22⋊C4—22no—
1852C22⋊C4—22no—
1853C22⋊C4—24no—
1854C22⋊C4—24no—
1855C22⋊C4—24no—
1856C22⋊C4—24no—
1857C22⋊C4—24no—
1858C22⋊C4—22no—
1859C22⋊C4—22no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—24no—
1864C22⋊C4—22no—
1865C22⋊C4—22no—
1866C22⋊C4—22no—
1867C22⋊C4—22no—
1868C22⋊C4—22no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—22no—
1872C22⋊C4—22no—
1873C22⋊C4—22no—
1874C22⋊C4—22no—
1875C22⋊C4—22no—
1876C22⋊C4—24no—
1877C22⋊C4—24no—
1878C22⋊C4—22no—
1879C22⋊C4—24no—
1880C22⋊C4—22no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—22no—
1884C22⋊C4—22no—
1885C22⋊C4—24no—
1886C22⋊C4C22×D414yes—
1887C22⋊C4C22×D414yes—
1888C22⋊C4C22×D414yes—
1889C22⋊C4C22×D414yes—
1890C22⋊C4C22×D414yes—
1891C22⋊C4C22×D414yes—
1892C22⋊C4C22×D414yes—
1893C22⋊C4C22×D414yes—
1894C22⋊C4C22×D414yes—
1895C22⋊C4C22×D414yes—
1896C42—24no—
1897C42—22no—
1898C42—24no—
1899C42—22no—
1900C42—22no—
1901C42—22no—
1902C42—22no—
1903C42—22no—
1904C42—24no—
1905C42—22no—
1906C42—22no—
1907C42—22no—
1908C42—22no—
1909C42—24no—
1910C42—24no—
1911C42—24no—
1912C42—24no—
1913C42—24no—
1914C42—24no—
1915C42—24no—
1916C42C22×D411yescharacteristic
1917C42C22×D411yescharacteristic
1918C42C22×D414yes—
1919C42C22×D411yescharacteristic
1920C42C22×D411yescharacteristic
1921C42C22×D411yescharacteristic
1922C42C22×D411yescharacteristic
1923C42C22×D411yescharacteristic
1924C42C22×D411yescharacteristic
1925C42C22×D411yescharacteristic
1926C42C22×D411yescharacteristic
1927C42C22×D411yescharacteristic
1928C42C22×D411yescharacteristic
1929C42C2511yescharacteristic
1930C42C2511yescharacteristic
1931C42C2514yes—
1932C42C2511yescharacteristic
1933C42C2511yescharacteristic
1934C23—22no—
1935C23—22no—
1936C23—41no—
1937C23—41no—
1938C23—41no—
1939C23—42no—
1940C23—42no—
1941C23—42no—
1942C23C23×D411yescharacteristic
1943C23C23×D414yes—
1944C23C23×D411yescharacteristic
1945C23C23×D411yescharacteristic
1946Q8—24no—
1947Q8—22no—
1948Q8—24no—
1949Q8—22no—
1950Q8—22no—
1951Q8—24no—
1952Q8—22no—
1953Q8—42no—
1954Q8—42no—
1955Q8—44no—
1956Q8—84no—
1957Q8—82no—
1958Q8—82no—
1959Q8—84no—
1960Q8—82no—
1961Q8—82no—
1962Q8—81no—
1963Q8—82no—
1964Q8—81no—
1965Q8—81no—
1966Q8—81no—
1967Q8—81no—
1968Q8—84no—
1969Q8—84no—
1970D4—24no—
1971D4—22no—
1972D4—22no—
1973D4—22no—
1974D4—22no—
1975D4—42no—
1976D4—44no—
1977D4—44no—
1978D4—42no—
1979D4—44no—
1980D4—44no—
1981D4—44no—
1982D4—44no—
1983D4—81no—
1984D4—81no—
1985D4—81no—
1986D4—84no—
1987D4—82no—
1988D4—82no—
1989D4—84no—
1990D4—84no—
1991D4—84no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—24no—
1996C2×C4—24no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—24no—
2007C2×C4—24no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—41no—
2013C2×C4—41no—
2014C2×C4—41no—
2015C2×C4—41no—
2016C2×C4—44no—
2017C2×C4—41no—
2018C2×C4—41no—
2019C2×C4—42no—
2020C2×C4—41no—
2021C2×C4—41no—
2022C2×C4—41no—
2023C2×C4—41no—
2024C2×C4—41no—
2025C2×C4—41no—
2026C2×C4—42no—
2027C2×C4—42no—
2028C2×C4—44no—
2029C2×C4—44no—
2030C2×C4—44no—
2031C2×C4—44no—
2032C2×C4—44no—
2033C2×C4—84no—
2034C2×C4—82no—
2035C2×C4—84no—
2036C2×C4—82no—
2037C2×C4—82no—
2038C2×C4—84no—
2039C2×C4—84no—
2040C2×C4—82no—
2041C2×C4—84no—
2042C2×C4—82no—
2043C2×C4—84no—
2044C2×C4—84no—
2045C2×C4—84no—
2046C2×C4C23×D411yescharacteristic
2047C2×C4C23×D411yescharacteristic
2048C2×C4C23×D411yescharacteristic
2049C2×C4C23×D411yescharacteristic
2050C2×C4C23×D414yes—
2051C2×C4C23×D414yes—
2052C2×C4C23×D411yescharacteristic
2053C2×C4C23×D411yescharacteristic
2054C2×C4C23×D411yescharacteristic
2055C2×C4C23×D414yes—
2056C2×C4C23×D411yescharacteristic
2057C2×C4C23×D411yescharacteristic
2058C2×C4C23×D411yescharacteristic
2059C2×C4C23×D411yescharacteristic
2060C2×C4C2611yescharacteristic
2061C8—22no—
2062C8—22no—
2063C8—24no—
2064C8—24no—
2065C8—22no—
2066C8—22no—
2067C22—21no—
2068C22—21no—
2069C22—21no—
2070C22—24no—
2071C22—21no—
2072C22—21no—
2073C22—21no—
2074C22—24no—
2075C22—21no—
2076C22—21no—
2077C22—24no—
2078C22—21no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—82no—
2086C22—162no—
2087C22C24×D411yescharacteristic
2088C4—21no—
2089C4—21no—
2090C4—21no—
2091C4—24no—
2092C4—21no—
2093C4—21no—
2094C4—21no—
2095C4—21no—
2096C4—24no—
2097C4—21no—
2098C4—21no—
2099C4—24no—
2100C4—21no—
2101C4—42no—
2102C4—42no—
2103C4—44no—
2104C4—42no—
2105C4—44no—
2106C4—42no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4#358612yes—
2114C42−1+612yes—
2115C2—41no—
2116C2—41no—
2117C2—41no—
2118C2—44no—
2119C2—82no—
2120C2—82no—
2121C2#6285911yescharacteristic
2122C2C2×#358611yescharacteristic
2123C2#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. #62611C2semidirect
4. #62609C2semidirect
5. #62574C2semidirect
6. #62572C2semidirect
7. #62521C2semidirect
8. #62519C2semidirect
9. #62502C2semidirect
10. #62499C2semidirect
11. #62226C2semidirect
12. #62225C2semidirect
13. #62184C2semidirect
14. #62183C2semidirect
15. #62182C2semidirect
16. #62181C2semidirect
17. #61846C2semidirect
18. #61839C2semidirect
19. #61742C2semidirect
20. #61734C2semidirect
21. #61724C2semidirect
22. #61715C2semidirect
23. #60987C2semidirect
24. #60966C2semidirect
25. #60953C2semidirect
26. #60876C2semidirect
27. #60865C2semidirect
28. #60863C2semidirect
29. #60289C2semidirect
81. #3390C22semidirect
82. #3388C22semidirect
83. #3387C22semidirect
84. #3387C22semidirect
85. #3385C22semidirect
86. #3385C22semidirect
87. #3385C22semidirect
88. #3384C22semidirect
89. Q8×Q16C22semidirect
90. #3381C22semidirect
91. #3380C22semidirect
92. Q8×SD16C22semidirect
93. #3374C22semidirect
94. #3374C22semidirect
95. #3372C22semidirect
96. #3372C22semidirect
97. #3371C22semidirect
98. #3370C22semidirect
99. #3369C22semidirect
100. #3367C22semidirect
101. #3364C22semidirect
102. #3363C22semidirect
103. #3360C22semidirect
104. #3359C22semidirect
105. #3357C22semidirect
106. #3357C22semidirect
107. #3356C22semidirect
108. #3356C22semidirect
109. #3354C22semidirect
110. #3354C22semidirect
111. #3353C22semidirect
112. #3353C22semidirect
113. #3352C22semidirect
114. #3352C22semidirect
115. #3351C22semidirect
116. #3351C22semidirect
117. #3350C22semidirect
118. #3350C22semidirect
119. #3349C22semidirect
120. #3349C22semidirect
121. #3349C22semidirect
122. #3348C22semidirect
123. #3346C22semidirect
124. #3345C22semidirect
125. #3344C22semidirect
126. #3344C22semidirect
127. #3343C22semidirect
128. #3343C22semidirect
129. #3341C22semidirect
130. #3340C22semidirect
131. #3338C22semidirect
132. #3335C22semidirect
133. #3331C22semidirect
134. #3331C22semidirect
135. #3330C22semidirect
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. #3317C22semidirect
149. #3316C22semidirect
150. #3315C22semidirect
151. #3313C22semidirect
152. #3312C22semidirect
153. #3312C22semidirect
154. #3309C22semidirect
155. #3308C22semidirect
156. #3307C22semidirect
157. #3303C22semidirect
158. #3302C22semidirect
159. #3299C22semidirect
160. #3298C22semidirect
161. #3263C22semidirect
162. #3262C22semidirect
163. #3258C22semidirect
164. #3258C22semidirect
165. #3252C22semidirect
166. #3252C22semidirect
167. #3252C22semidirect
168. #3251C22semidirect
169. #3244C22semidirect
170. #3244C22semidirect
171. #3243C22semidirect
172. #3243C22semidirect
173. #3242C22semidirect
174. #3242C22semidirect
175. #3242C22semidirect
176. #3242C22semidirect
177. #3242C22semidirect
178. #3241C22semidirect
184. #3237C22semidirect
185. #3237C22semidirect
186. #3236C22semidirect
187. #3236C22semidirect
189. #3235C22semidirect
190. #3235C22semidirect
193. #3233C22semidirect
194. #3233C22semidirect
199. #3230C22semidirect
200. #3230C22semidirect
201. #3230C22semidirect
202. #3229C22semidirect
203. #3229C22semidirect
204. #3227C22semidirect
205. #3223C22semidirect
206. #3221C22semidirect
208. #3216C22semidirect
209. #3214C22semidirect
211. #3209C22semidirect
212. #3206C22semidirect
220. #3185C22semidirect
221. #3182C22semidirect
222. #3179C22semidirect
223. #3178C22semidirect
224. #3177C22semidirect
225. #3174C22semidirect
226. #3172C22semidirect
227. #3171C22semidirect
228. #3166C22semidirect
229. #3165C22semidirect
230. #3164C22semidirect
231. #3163C22semidirect
232. #3142C22semidirect
233. #3139C22semidirect
234. #3137C22semidirect
235. #3137C22semidirect
236. #3125C22semidirect
237. #3124C22semidirect
238. #3121C22semidirect
239. #3121C22semidirect
240. #3117C22semidirect
249. #3102C22semidirect
250. #3102C22semidirect
258. #3084C22semidirect
259. #3083C22semidirect
260. #3082C22semidirect
261. #3082C22semidirect
262. #3079C22semidirect
263. #3079C22semidirect
264. #3078C22semidirect

Maximal subgroups

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

subgroupindex
#628312
#627522
#626112
#626092
#625742
#625722
#625212
#625192
#625022
#624992
#622262
#622252
#621842
#621832
#621822
#621812
#618462
#618392
#617422
#617342
#617242
#617152
#609872
#609662
#609532
#608762
#608652
#608632
#602892