Finite Group Databasebeta

← #10582670

Subgroups — #10582670

Order 512.

5956 conjugacy classes of subgroups.

The subgroup lattice has 2192 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62830C211yesmaximal, characteristic, complemented
2#62752C211yesmaximal, characteristic, complemented
3#62618C212yesmaximal, complemented
4#62617C212yesmaximal, complemented
5#62564C214yesmaximal, complemented
6#62521C212yesmaximal, complemented
7#62520C212yesmaximal, complemented
8#62498C214yesmaximal, complemented
9#62242C212yesmaximal, complemented
10#62241C212yesmaximal, complemented
11#62236C212yesmaximal, complemented
12#62235C212yesmaximal, complemented
13#62190C212yesmaximal, complemented
14#62189C212yesmaximal, complemented
15#62188C212yesmaximal, complemented
16#62187C212yesmaximal, complemented
17#61840C212yesmaximal, complemented
18#61839C212yesmaximal, complemented
19#61734C212yesmaximal, complemented
20#61733C212yesmaximal, complemented
21#61725C214yesmaximal, complemented
22#61714C214yesmaximal, complemented
23#60985C214yesmaximal, complemented
24#60967C211yesmaximal, characteristic, complemented
25#60951C211yesmaximal, characteristic, complemented
26#60875C214yesmaximal, complemented
27#60864C211yesmaximal, characteristic, complemented
28#60862C211yesmaximal, characteristic, complemented
29#60289C211yesmaximal, characteristic, complemented
30#3565C2214yescomplemented
31#3564—22no—
32#3563—21no—
33#3563C2212yescomplemented
34#3562—22no—
35#3561—21no—
36#3560—22no—
37#3559C2212yescomplemented
38#3555C2212yescomplemented
39#3552C2212yes—
40#3552C2212yescomplemented
41#3551—22no—
42#3547C2212yes—
43#3547C2212yescomplemented
44#3546C2212yes—
45#3544C2212yescomplemented
46#3543C2212yes—
47#3538—21no—
48#3536—21no—
49#3535—22no—
50#3534—22no—
51#3531—22no—
52#3520C2212yes—
53#3519C2214yes—
54#3519C2212yes—
55#3517C2212yes—
56#3514—22no—
57#3514C2212yes—
58#3512—21no—
59#3507C2211yescharacteristic
60#3506C2211yescharacteristic
61#3505—22no—
62#3500—21no—
63#3497C2211yescharacteristic
64#3496C2211yescharacteristic
65#3494C2214yes—
66#3489—21no—
67#3488—21no—
68#3482—22no—
69Q8×#41C2212yescomplemented
70#3475C2214yescomplemented
71#3475C2212yescomplemented
72#3461—22no—
73#3461—22no—
74#3458C2212yescomplemented
75#3455C2212yescomplemented
76#3444C2211yescharacteristic
77#3444C2211yescharacteristic, complemented
78C2×#533C2211yescharacteristic, complemented
79C2×#532C2211yescharacteristic
80C2×#529C2211yescharacteristic
81#3390C2214yescomplemented
82#3388C2214yescomplemented
83#3386C2214yescomplemented
84#3386C2212yescomplemented
85#3385C2212yescomplemented
86#3384C2214yescomplemented
87#3384C2212yescomplemented
88#3384C2212yescomplemented
89#3381C2212yescomplemented
90#3380C2212yescomplemented
91Q8×SD16C2212yescomplemented
92Q8×D8C2212yescomplemented
93#3371C2214yescomplemented
94#3370C2214yescomplemented
95#3369C2212yescomplemented
96#3368C2214yescomplemented
97#3368C2212yescomplemented
98#3367C2212yescomplemented
99#3366C2214yescomplemented
100#3366C2212yescomplemented
101#3364C2212yescomplemented
102#3362C2212yescomplemented
103#3360C2212yescomplemented
104#3358C2212yescomplemented
105#3357C2214yescomplemented
106#3357C2214yescomplemented
107#3357C2212yescomplemented
108#3356C2214yescomplemented
109#3355C2214yescomplemented
110#3355C2214yescomplemented
111#3354C2214yescomplemented
112#3354C2212yescomplemented
113#3354C2212yescomplemented
114#3353C2212yescomplemented
115#3351C2214yescomplemented
116#3351C2214yescomplemented
117#3350C2214yescomplemented
118#3350C2214yescomplemented
119#3349C2214yescomplemented
120#3348C2214yescomplemented
121#3347C2214yescomplemented
122#3347C2214yescomplemented
123#3346C2214yescomplemented
124#3346C2214yescomplemented
125#3345C2214yescomplemented
126#3345C2214yescomplemented
127#3344C2214yescomplemented
128#3343C2214yescomplemented
129#3341C2212yescomplemented
130#3340C2212yescomplemented
131#3335C2212yescomplemented
132#3334C2212yescomplemented
133#3333C2214yescomplemented
134#3332C2214yescomplemented
135#3331C2212yescomplemented
136#3330C2212yescomplemented
137#3325C2214yescomplemented
138#3325C2212yescomplemented
139#3324C2214yescomplemented
140#3324C2212yescomplemented
141#3323C2214yescomplemented
142#3323C2214yescomplemented
143#3322C2214yescomplemented
144#3322C2214yescomplemented
145#3319C2214yescomplemented
146#3318C2214yescomplemented
147#3318C2214yescomplemented
148#3317C2214yescomplemented
149#3317C2214yescomplemented
150#3314C2214yescomplemented
151#3311C2214yescomplemented
152#3310C2214yescomplemented
153#3310C2214yescomplemented
154#3309C2214yescomplemented
155#3309C2214yescomplemented
156#3306C2214yescomplemented
157#3303C2212yescomplemented
158#3302C2212yescomplemented
159#3295C2212yescomplemented
160#3294C2212yescomplemented
161#3260C2214yescomplemented
162#3259C2214yescomplemented
163#3258C2214yescomplemented
164#3257C2214yescomplemented
165#3255C2211yescharacteristic, complemented
166#3254C2211yescharacteristic, complemented
167#3254C2211yescharacteristic, complemented
168#3254C2211yescharacteristic, complemented
169#3254C2211yescharacteristic, complemented
170#3253C2211yescharacteristic, complemented
171#3253C2211yescharacteristic, complemented
172#3253C2211yescharacteristic, complemented
173#3244C2214yescomplemented
174#3244C2214yescomplemented
175#3244C2214yescomplemented
176#3243C2214yescomplemented
177#3243C2214yescomplemented
178#3243C2214yescomplemented
179#3241C2214yescomplemented
180#3241C2214yescomplemented
181#3241C2214yescomplemented
182#3241C2214yescomplemented
183#3240C2214yescomplemented
184#3240C2214yescomplemented
185#3240C2214yescomplemented
186#3238C2212yescomplemented
187#3235C2212yes—
188#3235C2214yescomplemented
189#3235C2212yescomplemented
190#3235C2212yescomplemented
191#3234C2212yescomplemented
192#3234C2212yescomplemented
193#3233C2214yescomplemented
194#3233C2212yescomplemented
195#3233C2212yescomplemented
196#3231C2212yescomplemented
197#3231C2212yescomplemented
198#3228C2214yescomplemented
199#3228C2212yescomplemented
200#3228C2214yescomplemented
201#3228C2212yescomplemented
202#3227C2212yescomplemented
203#3226C2212yescomplemented
204#3224C2214yescomplemented
205#3224C2214yescomplemented
206#3217C2212yescomplemented
207#3214C2212yescomplemented
208#3212C2212yescomplemented
209#3212C2212yescomplemented
210#3197C2214yescomplemented
211#3197C2214yescomplemented
212#3194C2212yescomplemented
213#3194C2212yescomplemented
214#3194C2214yescomplemented
215#3191C2214yescomplemented
216#3188C2214yescomplemented
217#3183C2214yescomplemented
218#3179C2214yescomplemented
219#3179C2214yescomplemented
220#3175C2214yescomplemented
221#3173C2214yescomplemented
222#3171C2212yescomplemented
223#3171C2212yescomplemented
224#3165C2212yescomplemented
225#3165C2211yescharacteristic, complemented
226#3165C2211yescharacteristic, complemented
227#3164C2214yescomplemented
228#3163C2214yescomplemented
229#3141C2211yescharacteristic, complemented
230#3141C2211yescharacteristic, complemented
231#3138C2212yescomplemented
232#3136C2214yescomplemented
233#3136C2214yescomplemented
234#3123C2214yescomplemented
235#3122C2214yescomplemented
236#3120C2214yescomplemented
237#3119C2214yescomplemented
238#3116C2212yescomplemented
239#3116C2212yescomplemented
240#3115C2214yescomplemented
241#3115C2212yescomplemented
242#3115C2212yescomplemented
243#3111C2214yescomplemented
244#3106C2212yes—
245#3106C2212yescomplemented
246#3106C2214yescomplemented
247#3102C2214yescomplemented
248#3101C2212yescomplemented
249#3100C2212yescomplemented
250#3094C2214yescomplemented
251#3094C2214yescomplemented
252#3093C2212yescomplemented
253#3093C2212yescomplemented
254#3093C2214yescomplemented
255#3091C2214yescomplemented
256C2×#482C2214yescomplemented
257#3084C2214yescomplemented
258#3083C2214yescomplemented
259#3081C2214yescomplemented
260#3081C2214yescomplemented
261#3080C2212yescomplemented
262#3080C2212yescomplemented
263#3077C2212yescomplemented
264#3077C2212yescomplemented
265#2995C2212yescomplemented
266#2995C2212yescomplemented
267#2993C2212yescomplemented
268#2993C2212yescomplemented
269#2984C2212yescomplemented
270#2975C2212yescomplemented
271#2974C2212yescomplemented
272#2973C2212yescomplemented
273#2969C2212yescomplemented
274#2969C2212yescomplemented
275#2967C2214yescomplemented
276#2924C2214yescomplemented
277#2920C2211yescharacteristic, complemented
278#2920C2211yescharacteristic, complemented
279C2×2−1+4—21no—
280C2×H(5,𝔽2)—21no—
281C22×#41—21no—
282#564—22no—
283#563—24no—
284#563—24no—
285#563—24no—
286#563—22no—
287#563—22no—
288#563—24no—
289#563—24no—
290#562—22no—
291#562—24no—
292#562—24no—
293#562—24no—
294#560—24no—
295#560—24no—
296#559—22no—
297#559C2312yes—
298Q82C2312yes—
299#557—22no—
300#557C2312yes—
301#557C2314yes—
302#557C2312yes—
303#556—24no—
304#556—22no—
305#556—22no—
306#556C2312yes—
307#556C2312yes—
308#556C2312yes—
309#556C2314yes—
310#555—24no—
311#555C2312yes—
312#555C2312yes—
313#555C2314yes—
314#555C2314yes—
315#554—24no—
316#554—22no—
317#554C2312yes—
318#554C2314yes—
319#554C2312yes—
320#554C2312yes—
321#554C2314yes—
322#554C2314yes—
323#553—24no—
324#553—22no—
325#553—22no—
326#553—22no—
327#553—24no—
328#553—24no—
329#553—24no—
330#553C2314yes—
331#553C2314yes—
332#553C2314yes—
333#553C2314yes—
334#553C2314yes—
335#552—24no—
336#552—22no—
337#552—22no—
338#552—22no—
339#552—24no—
340#552—22no—
341#552—22no—
342#552—22no—
343#552—24no—
344#552C2314yes—
345#552C2314yes—
346#552C2314yes—
347#551—24no—
348#551—24no—
349#551—24no—
350#551—24no—
351#551—24no—
352#551—24no—
353#551—24no—
354#550—22no—
355#550C2314yes—
356#550C2312yes—
357#550C2312yes—
358#550C2312yes—
359D4×Q8—22no—
360D4×Q8—22no—
361D4×Q8—22no—
362D4×Q8C2312yes—
363D4×Q8C2312yes—
364D4×Q8C2312yes—
365#548—22no—
366#548—22no—
367#548—22no—
368#548—22no—
369#548—22no—
370#548—22no—
371#548—22no—
372#548—22no—
373#547—24no—
374#547—22no—
375#547—22no—
376#547—24no—
377#547C2312yes—
378#547C2312yes—
379#547C2314yes—
380#547C2312yes—
381#547C2312yes—
382#546—24no—
383#546—22no—
384#546—22no—
385#546—22no—
386#546—24no—
387#546—22no—
388#546—22no—
389#546—22no—
390#546—22no—
391#546—24no—
392#546—24no—
393#546—24no—
394#546—24no—
395#546C2314yes—
396#546C2314yes—
397D42—24no—
398D42—22no—
399D42C2312yes—
400D42C2312yes—
401D42C2314yes—
402#544—22no—
403#544—22no—
404#544—22no—
405#544—22no—
406#544C2314yes—
407#544C2314yes—
408#544C2314yes—
409#544C2314yes—
410#544C2314yes—
411#543—22no—
412#543—22no—
413#542—24no—
414#542—24no—
415#542—22no—
416#542—24no—
417#542—24no—
418#542—22no—
419#542C2314yes—
420#542C2314yes—
421#542C2314yes—
422#542C2314yes—
423#541—24no—
424#541—24no—
425#541—22no—
426#541—24no—
427#541—22no—
428#541—22no—
429#541C2314yes—
430#540—22no—
431#540—24no—
432#540—24no—
433#540C2314yes—
434#540C2314yes—
435#540C2314yes—
436#539—24no—
437#539—24no—
438#539—24no—
439#539—24no—
440#539—24no—
441#539—22no—
442#539—22no—
443#539—22no—
444#539—22no—
445#539—22no—
446#538—24no—
447#538—24no—
448#538—24no—
449#538—24no—
450#538—24no—
451#538—22no—
452#538—22no—
453#538—22no—
454#537—22no—
455#537—22no—
456#537—22no—
457#537—22no—
458#537—21no—
459#537—21no—
460#537—22no—
461#536—21no—
462#536—22no—
463#536—22no—
464#536—24no—
465#536—22no—
466#536—22no—
467#535—21no—
468#535—22no—
469#535—22no—
470#535C2314yes—
471#534—24no—
472#534—22no—
473#533—22no—
474#533—24no—
475#533—24no—
476#533—24no—
477#533—21no—
478#533—21no—
479#533—21no—
480#533—21no—
481#533C2311yescharacteristic
482#533C2311yescharacteristic
483#533C2311yescharacteristic
484#533C2311yescharacteristic
485#533C2312yes—
486#533C2312yes—
487#533C2311yescharacteristic
488#533C2312yes—
489#533C2312yes—
490#533C2311yescharacteristic
491#533C2314yes—
492#532—22no—
493#532—21no—
494#532—21no—
495#532—21no—
496#532—21no—
497#532C2311yescharacteristic
498#532C2311yescharacteristic
499#532C2311yescharacteristic
500#532C2311yescharacteristic
501#532C2311yescharacteristic
502#532C2314yes—
503#532C2311yescharacteristic
504#532C2311yescharacteristic
505#532C2312yes—
506#532C2312yes—
507#532C2311yescharacteristic
508#532C2311yescharacteristic
509#532C2311yescharacteristic
510C2×C4⋊Q8C2311yescharacteristic
511C2×C4⋊Q8C2311yescharacteristic
512C2×C4⋊Q8C2311yescharacteristic
513C2×#127C2311yescharacteristic
514#529—22no—
515#529—22no—
516#529—24no—
517#529—22no—
518#529—24no—
519#529—24no—
520#529—24no—
521#529—24no—
522#529—24no—
523#529—21no—
524#529—21no—
525#529—21no—
526#529—21no—
527#529—21no—
528#529—21no—
529#529—21no—
530#529—21no—
531#529D412yes—
532#529D412yes—
533#529D412yes—
534#529D412yes—
535#529C2314yes—
536#529C2312yes—
537#529C2312yes—
538#529C2312yes—
539#529C2312yes—
540#529C2312yes—
541#529C2312yes—
542#529C2312yes—
543#529C2312yes—
544C2×#126D412yes—
545C2×#125D411yescharacteristic
546C2×#125C2312yes—
547C2×#124—22no—
548C2×#124—21no—
549C2×#124D411yescharacteristic
550#525—21no—
551#525—21no—
552#525—21no—
553#525—21no—
554#525—22no—
555#525—22no—
556#525C2314yes—
557#525C2312yes—
558#525C2314yes—
559#525C2312yes—
560C2×#123D412yes—
561C2×C22⋊Q8—21no—
562C2×C22⋊Q8—21no—
563C2×C22⋊Q8—22no—
564C2×C22⋊Q8D411yescharacteristic
565C2×#121—21no—
566C2×#121—22no—
567C2×#121D411yescharacteristic
568C2×#121C2314yes—
569C2×#121C2312yes—
570#520—21no—
571#520—21no—
572#520C2314yes—
573#518—24no—
574#518C2314yes—
575C4×#41—24no—
576C4×#41—22no—
577C4×#41—21no—
578C4×#41—21no—
579C4×#41—21no—
580C4×#41—21no—
581C4×#41C2312yes—
582C4×#41C2314yes—
583C4×#41C2312yes—
584C2×C4×Q8—22no—
585C2×C4×Q8—21no—
586C2×C4×Q8—21no—
587C2×C4×Q8C2311yescharacteristic
588C2×C4×D4—21no—
589C2×C4×D4C2312yes—
590C2×C4×D4C2312yes—
591C2×C4×D4C2311yescharacteristic
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#496C2312yes—
618#496C2312yes—
619#495C2314yes—
620#490C2314yes—
621#490C2314yes—
622#490C2314yes—
623#490C2314yes—
624#490C2312yes—
625#490C2312yes—
626#489C2314yes—
627#489C2314yes—
628#489C2314yes—
629#489C2314yes—
630#489C2312yes—
631#489C2312yes—
632#488C2314yes—
633#488C2314yes—
634#488C2314yes—
635#488C2314yes—
636#487C2312yes—
637#487C2312yes—
638#486C2314yes—
639#486C2314yes—
640#486C2312yes—
641#486C2312yes—
642#486C2314yes—
643#486C2314yes—
644#485C2314yes—
645#485C2314yes—
646#485C2314yes—
647#485C2314yes—
648#485C2314yes—
649#485C2314yes—
650#485C2314yes—
651#485C2314yes—
652#485C2314yes—
653#485C2314yes—
654#484C2314yes—
655#484C2314yes—
656#483C2314yes—
657#483C2314yes—
658#483C2312yes—
659#483C2312yes—
660#482C2314yes—
661#482C2314yes—
662#482C2314yes—
663#482C2312yes—
664#482C2314yes—
665#482C2314yes—
666#482C2314yes—
667#482C2314yes—
668#482C2314yes—
669#482C2314yes—
670#482C2314yes—
671#482C2314yes—
672#482C2312yes—
673#482C2314yes—
674#482C2314yes—
675#482C2314yes—
676#482C2312yes—
677#482C2314yes—
678#482C2314yes—
679#482C2314yes—
680#482C2314yes—
681#482C2312yes—
682#481C2314yes—
683#481C2314yes—
684#481C2314yes—
685#481C2314yes—
686#481C2314yes—
687#481C2314yes—
688#480C2314yes—
689#480C2314yes—
690#480C2314yes—
691#480C2314yes—
692#480C2314yes—
693#480C2312yes—
694#480C2314yes—
695#480C2312yes—
696#479C2314yes—
697#479C2314yes—
698#479C2314yes—
699#479C2314yes—
700#479C2314yes—
701#479C2314yes—
702#479C2314yes—
703#479C2314yes—
704#478C2314yes—
705#478C2314yes—
706#478C2314yes—
707#478C2314yes—
708#478C2314yes—
709#478C2314yes—
710#478C2314yes—
711#478C2314yes—
712#478C2314yes—
713#478C2314yes—
714#478C2314yes—
715#478C2314yes—
716#478C2314yes—
717#478C2314yes—
718#478C2314yes—
719#478C2314yes—
720#477C2314yes—
721#477C2312yes—
722#477C2312yes—
723#477C2312yes—
724#477C2312yes—
725#477C2314yes—
726#476C2312yes—
727#476C2312yes—
728#476C2312yes—
729#476C2312yes—
730#476C2312yes—
731#476C2312yes—
732#476C2314yes—
733#476C2314yes—
734#476C2312yes—
735#476C2314yes—
736#476C2312yes—
737#476C2312yes—
738#476C2312yes—
739#476C2314yes—
740#475C2314yes—
741#475C2312yes—
742#475C2312yes—
743#475C2314yes—
744#474C2312yes—
745#474C2312yes—
746#474C2312yes—
747#474C2312yes—
748#474C2312yes—
749#474C2312yes—
750#474C2312yes—
751#474C2314yes—
752#474C2314yes—
753#474C2312yes—
754#474C2314yes—
755#474C2314yes—
756#470C2314yes—
757#470C2314yes—
758#469C2312yes—
759#469C2314yes—
760#469C2312yes—
761#469C2312yes—
762#469C2314yes—
763#469C2312yes—
764#469C2314yes—
765#469C2314yes—
766#468C2314yes—
767#468C2312yes—
768#468C2314yes—
769#468C2312yes—
770#468C2314yes—
771#468C2312yes—
772#468C2314yes—
773#468C2314yes—
774#468C2314yes—
775#468C2312yes—
776#467C2314yes—
777#466C2314yes—
778#466C2314yes—
779#466C2314yes—
780#465C2314yes—
781#465C2314yes—
782#465C2314yes—
783#465C2314yes—
784#464C2314yes—
785#464C2314yes—
786#463C2314yes—
787#463C2314yes—
788#462C2312yes—
789#462C2312yes—
790#461C2312yes—
791#461C2312yes—
792#461C2312yes—
793#461C2312yes—
794#460C2314yes—
795#460C2312yes—
796#460C2312yes—
797#460C2312yes—
798#460C2314yes—
799#460C2312yes—
800#459C2314yes—
801#459C2312yes—
802#459C2312yes—
803#459C2312yes—
804#459C2314yes—
805#459C2312yes—
806#459C2312yes—
807#459C2312yes—
808#452C2314yes—
809#452C2314yes—
810#452C2314yes—
811#452C2314yes—
812#450C2312yes—
813#450C2312yes—
814#450C2314yes—
815#450C2314yes—
816#449C2314yes—
817#449C2314yes—
818#449C2314yes—
819#449C2312yes—
820#449C2312yes—
821#449C2312yes—
822#449C2314yes—
823#449C2312yes—
824#447C2312yes—
825#447C2312yes—
826#447C2314yes—
827#447C2314yes—
828#446C2312yes—
829#446C2314yes—
830#446C2312yes—
831#446C2314yes—
832C8×Q8C2312yes—
833C8×Q8C2312yes—
834#442C2314yes—
835#442C2314yes—
836#442C2314yes—
837#442C2314yes—
838#441C2314yes—
839#441C2314yes—
840#440C2314yes—
841#440C2314yes—
842#440C2314yes—
843#440C2314yes—
844#440C2314yes—
845#440C2314yes—
846C4×Q16C2314yes—
847C4×SD16C2312yes—
848C4×SD16C2314yes—
849C4×SD16C2312yes—
850C4×SD16C2314yes—
851C4×SD16C2314yes—
852C4×SD16C2312yes—
853C4×SD16C2312yes—
854C4×SD16C2314yes—
855C4×D8C2312yes—
856C4×D8C2312yes—
857C4×D8C2312yes—
858C4×D8C2312yes—
859C4×D8C2314yes—
860C4×D8C2314yes—
861C4×D8C2314yes—
862#436C2312yes—
863#436C2312yes—
864#436C2314yes—
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#431C2312yes—
886#431C2314yes—
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#418C2314yes—
911#418C2314yes—
912#418C2314yes—
913#418C2314yes—
914#417C2314yes—
915#417C2314yes—
916#417C2312yes—
917#417C2312yes—
918#417C2312yes—
919#417C2312yes—
920#416C2314yes—
921#416C2314yes—
922C2×#102C2314yes—
923C2×#102C2314yes—
924#407C2311yescharacteristic
925#407C2311yescharacteristic
926#407C2314yes—
927#407C2312yes—
928C2×C22⋊C8C2314yes—
929#405C2314yes—
930#405C2314yes—
931C4×M16C2312yes—
932C4×M16C2311yescharacteristic
933C4×M16C2311yescharacteristic
9342−1+4—84no—
935H(5,𝔽2)—84no—
936C2×#41—22no—
937C2×#41—22no—
938C2×#41—24no—
939C2×#41—22no—
940C2×#41—22no—
941C2×#41—22no—
942C2×#41—21no—
943C2×#41—21no—
944C2×#41—21no—
945C2×#41—21no—
946C2×#41—21no—
947C2×#41—21no—
948C2×#41—22no—
949C2×#41—22no—
950C2×#41—21no—
951C2×#41—21no—
952C2×#41—24no—
953C2×#41—84no—
954C2×#41C2412yes—
955C2×#41C2412yes—
956C2×#41C2414yes—
957C22×Q8—22no—
958C22×Q8—22no—
959C22×Q8—22no—
960C22×Q8—21no—
961C22×Q8—21no—
962C22×Q8—21no—
963C22×Q8C2×D411yescharacteristic
964C22×D4—22no—
965C22×D4—24no—
966C22×D4—24no—
967C22×D4—22no—
968C22×D4—22no—
969C22×D4—21no—
970C22×D4—21no—
971C22×D4C2×D411yescharacteristic
972C22×D4C2×D412yes—
973C22×D4C2412yes—
974C22×D4C2414yes—
975C23×C4—22no—
976C23×C4C2×D411yescharacteristic
977C23×C4C2×D411yescharacteristic
978C23×C4C2412yes—
979C23×C4C2411yescharacteristic
980C2×Q16C2414yes—
981C2×SD16C2412yes—
982C2×SD16C2412yes—
983C2×SD16C2414yes—
984C2×SD16C2412yes—
985C2×SD16C2414yes—
986C2×SD16C2412yes—
987C2×D8C2412yes—
988C2×D8C2412yes—
989C2×D8C2412yes—
990C2×D8C2414yes—
991C2×D8C2412yes—
992C2×M16C2411yescharacteristic
993C2×M16C2411yescharacteristic
994C2×M16C2411yescharacteristic
995C2×M16C2411yescharacteristic
996C2×M16C2412yes—
997C2×M16C2412yes—
998C2×M16C2414yes—
999C2×M16C2414yes—
1000C22×C8C2414yes—
1001C22×C8C2414yes—
1002C4⋊Q8—22no—
1003C4⋊Q8—22no—
1004C4⋊Q8—24no—
1005C4⋊Q8—24no—
1006C4⋊Q8—24no—
1007C4⋊Q8—24no—
1008C4⋊Q8—22no—
1009C4⋊Q8—24no—
1010C4⋊Q8—24no—
1011C4⋊Q8—24no—
1012C4⋊Q8—21no—
1013C4⋊Q8—21no—
1014C4⋊Q8—21no—
1015C4⋊Q8—21no—
1016C4⋊Q8—21no—
1017C4⋊Q8—21no—
1018C4⋊Q8C2411yescharacteristic
1019C4⋊Q8C2411yescharacteristic
1020C4⋊Q8C2412yes—
1021C4⋊Q8C2411yescharacteristic
1022C4⋊Q8C2411yescharacteristic
1023C4⋊Q8C2412yes—
1024C4⋊Q8C2412yes—
1025C4⋊Q8C2412yes—
1026C4⋊Q8C2412yes—
1027C4⋊Q8C2411yescharacteristic
1028C4⋊Q8C2411yescharacteristic
1029C4⋊Q8C2411yescharacteristic
1030C4⋊Q8C2411yescharacteristic
1031C4⋊Q8C2414yes—
1032C4⋊Q8C2414yes—
1033C4⋊Q8C2414yes—
1034#127—22no—
1035#127—24no—
1036#127—21no—
1037#127—21no—
1038#127C2412yes—
1039#127C2411yescharacteristic
1040#127C2411yescharacteristic
1041#127C2411yescharacteristic
1042#127C2411yescharacteristic
1043#127C2414yes—
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—24no—
1053#126—24no—
1054#126—24no—
1055#126—24no—
1056#126—24no—
1057#126—24no—
1058#126—24no—
1059#126—24no—
1060#126—24no—
1061#126—24no—
1062#126—24no—
1063#126—22no—
1064#126—22no—
1065#126—22no—
1066#126—22no—
1067#126—24no—
1068#126C2×D414yes—
1069#126C2×D414yes—
1070#126C2×D414yes—
1071#126C2×D414yes—
1072#125—24no—
1073#125—24no—
1074#125—24no—
1075#125—24no—
1076#125—22no—
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—22no—
1090#125—22no—
1091#125—21no—
1092#125—21no—
1093#125—21no—
1094#125—21no—
1095#125C2×D412yes—
1096#125C2×D412yes—
1097#125C2×D412yes—
1098#125C2×D412yes—
1099#125C2414yes—
1100#125C2414yes—
1101#125C2412yes—
1102#125C2412yes—
1103#125C2414yes—
1104#125C2414yes—
1105#125C2414yes—
1106#124—22no—
1107#124—22no—
1108#124—22no—
1109#124—24no—
1110#124—24no—
1111#124—24no—
1112#124—24no—
1113#124—24no—
1114#124—24no—
1115#124—24no—
1116#124—24no—
1117#124—24no—
1118#124—24no—
1119#124—24no—
1120#124—21no—
1121#124—21no—
1122#124—22no—
1123#124—21no—
1124#124—21no—
1125#124—22no—
1126#124—21no—
1127#124—21no—
1128#124—21no—
1129#124—21no—
1130#124—24no—
1131#124C2×D412yes—
1132#124C2×D412yes—
1133#124C2×D412yes—
1134#124C2×D412yes—
1135#124C2412yes—
1136#124C2412yes—
1137#124C2414yes—
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#123—24no—
1171#123—24no—
1172#123—24no—
1173#123—24no—
1174#123C2×D414yes—
1175#123C2×D414yes—
1176#123C2×D414yes—
1177#123C2×D414yes—
1178C22⋊Q8—22no—
1179C22⋊Q8—22no—
1180C22⋊Q8—22no—
1181C22⋊Q8—24no—
1182C22⋊Q8—21no—
1183C22⋊Q8—22no—
1184C22⋊Q8—22no—
1185C22⋊Q8—22no—
1186C22⋊Q8—22no—
1187C22⋊Q8—22no—
1188C22⋊Q8—22no—
1189C22⋊Q8—22no—
1190C22⋊Q8—22no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—24no—
1199C22⋊Q8—24no—
1200C22⋊Q8—22no—
1201C22⋊Q8—24no—
1202C22⋊Q8—22no—
1203C22⋊Q8—24no—
1204C22⋊Q8—22no—
1205C22⋊Q8—22no—
1206C22⋊Q8—22no—
1207C22⋊Q8—24no—
1208C22⋊Q8—24no—
1209C22⋊Q8—24no—
1210C22⋊Q8—22no—
1211C22⋊Q8—24no—
1212C22⋊Q8—24no—
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⋊Q8C2×D412yes—
1234C22⋊Q8C2×D412yes—
1235C22⋊Q8C2×D412yes—
1236C22⋊Q8C2×D412yes—
1237C22⋊Q8C2412yes—
1238C22⋊Q8C2412yes—
1239C22⋊Q8C2412yes—
1240C22⋊Q8C2412yes—
1241C22⋊Q8C2414yes—
1242C22⋊Q8C2414yes—
1243C22⋊Q8C2414yes—
1244#121—22no—
1245#121—24no—
1246#121—22no—
1247#121—24no—
1248#121—24no—
1249#121—22no—
1250#121—24no—
1251#121—24no—
1252#121—24no—
1253#121—24no—
1254#121—21no—
1255#121—21no—
1256#121—21no—
1257#121—21no—
1258#121—21no—
1259#121—22no—
1260#121—22no—
1261#121—22no—
1262#121—22no—
1263#121—24no—
1264#121—24no—
1265#121—21no—
1266#121—21no—
1267#121—21no—
1268#121—21no—
1269#121—21no—
1270#121—21no—
1271#121—21no—
1272#121—24no—
1273#121—22no—
1274#121—22no—
1275#121—22no—
1276#121—22no—
1277#121—24no—
1278#121—24no—
1279#121—24no—
1280#121—24no—
1281#121—24no—
1282#121—24no—
1283#121—24no—
1284#121—24no—
1285#121—24no—
1286#121—24no—
1287#121—24no—
1288#121—24no—
1289#121—24no—
1290#121—24no—
1291#121—24no—
1292#121—24no—
1293#121C2×D412yes—
1294#121C2×D412yes—
1295#121C2×D412yes—
1296#121C2×D412yes—
1297#121C2412yes—
1298#121C2412yes—
1299#121C2412yes—
1300#121C2412yes—
1301#121C2412yes—
1302#121C2414yes—
1303#121C2414yes—
1304#121C2412yes—
1305#121C2412yes—
1306#121C2412yes—
1307#121C2414yes—
1308#121C2414yes—
1309#121C2414yes—
1310#120—22no—
1311#120—22no—
1312#120—24no—
1313#120—24no—
1314#120—24no—
1315#120—24no—
1316#120—24no—
1317#120—24no—
1318#120—24no—
1319#120—24no—
1320#120—24no—
1321#120—24no—
1322C4×Q8—22no—
1323C4×Q8—22no—
1324C4×Q8—24no—
1325C4×Q8—22no—
1326C4×Q8—24no—
1327C4×Q8—22no—
1328C4×Q8—22no—
1329C4×Q8—22no—
1330C4×Q8—24no—
1331C4×Q8—22no—
1332C4×Q8—22no—
1333C4×Q8—22no—
1334C4×Q8—22no—
1335C4×Q8—22no—
1336C4×Q8—22no—
1337C4×Q8—22no—
1338C4×Q8—24no—
1339C4×Q8—21no—
1340C4×Q8—21no—
1341C4×Q8—21no—
1342C4×Q8—21no—
1343C4×Q8—21no—
1344C4×Q8—21no—
1345C4×Q8—21no—
1346C4×Q8—21no—
1347C4×Q8C2×D412yes—
1348C4×Q8C2×D412yes—
1349C4×Q8C2412yes—
1350C4×Q8C2412yes—
1351C4×Q8C2412yes—
1352C4×Q8C2412yes—
1353C4×Q8C2414yes—
1354C4×Q8C2414yes—
1355C4×Q8C2414yes—
1356C4×Q8C2412yes—
1357C4×Q8C2412yes—
1358C4×D4—24no—
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—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—22no—
1394C4×D4—21no—
1395C4×D4—21no—
1396C4×D4—22no—
1397C4×D4—21no—
1398C4×D4—22no—
1399C4×D4—22no—
1400C4×D4—21no—
1401C4×D4—21no—
1402C4×D4—21no—
1403C4×D4—21no—
1404C4×D4—21no—
1405C4×D4—21no—
1406C4×D4—21no—
1407C4×D4—21no—
1408C4×D4—24no—
1409C4×D4C2×D414yes—
1410C4×D4C2×D412yes—
1411C4×D4C2×D414yes—
1412C4×D4C2×D412yes—
1413C4×D4C2412yes—
1414C4×D4C2412yes—
1415C4×D4C2412yes—
1416C4×D4C2412yes—
1417C4×D4C2412yes—
1418C4×D4C2412yes—
1419C4×D4C2412yes—
1420C4×D4C2412yes—
1421C4×D4C2414yes—
1422C4×D4C2414yes—
1423C4×D4C2414yes—
1424C4×D4C2414yes—
1425C4×D4C2414yes—
1426C4×D4C2414yes—
1427C4×D4C2412yes—
1428C4×D4C2412yes—
1429C4×D4C2414yes—
1430#117—24no—
1431#117—22no—
1432#117—22no—
1433#117—24no—
1434#117—21no—
1435#117—21no—
1436#117—21no—
1437#117—21no—
1438#117—22no—
1439#117—24no—
1440#117—24no—
1441#117—22no—
1442#117—22no—
1443#117—24no—
1444#117—24no—
1445#117—24no—
1446#117—24no—
1447#117—22no—
1448#117—22no—
1449#117—22no—
1450#117—22no—
1451#117—24no—
1452#117—22no—
1453#117—22no—
1454#117—24no—
1455#117C2×D414yes—
1456#117C2×D414yes—
1457#117C2412yes—
1458#117C2414yes—
1459#117C2414yes—
1460#117C2414yes—
1461#117C2414yes—
1462#117C2412yes—
1463#117C2414yes—
1464#117C2414yes—
1465#117C2414yes—
1466C2×C4⋊C4—21no—
1467C2×C4⋊C4—22no—
1468C2×C4⋊C4—22no—
1469C2×C4⋊C4—21no—
1470C2×C4⋊C4—21no—
1471C2×C4⋊C4—22no—
1472C2×C4⋊C4—24no—
1473C2×C4⋊C4—22no—
1474C2×C4⋊C4—22no—
1475C2×C4⋊C4—24no—
1476C2×C4⋊C4C2×D412yes—
1477C2×C4⋊C4C2×D412yes—
1478C2×C4⋊C4C2×D411yescharacteristic
1479C2×C4⋊C4C2×D412yes—
1480C2×C4⋊C4C2×D411yescharacteristic
1481C2×C4⋊C4C2×D412yes—
1482C2×C4⋊C4C2412yes—
1483C2×C4⋊C4C2412yes—
1484C2×C4⋊C4C2414yes—
1485C2×C4⋊C4C2414yes—
1486C2×C4⋊C4C2412yes—
1487C2×C4⋊C4C2414yes—
1488C2×C22⋊C4—22no—
1489C2×C22⋊C4—24no—
1490C2×C22⋊C4—22no—
1491C2×C22⋊C4—22no—
1492C2×C22⋊C4—24no—
1493C2×C22⋊C4—24no—
1494C2×C22⋊C4—24no—
1495C2×C22⋊C4—24no—
1496C2×C22⋊C4—24no—
1497C2×C22⋊C4C2×D412yes—
1498C2×C22⋊C4C2×D412yes—
1499C2×C22⋊C4C2×D412yes—
1500C2×C22⋊C4C2×D412yes—
1501C2×C22⋊C4C2×D412yes—
1502C2×C42—22no—
1503C2×C42—24no—
1504C2×C42—22no—
1505C2×C42—24no—
1506C2×C42—22no—
1507C2×C42C2×D411yescharacteristic
1508C2×C42C2×D411yescharacteristic
1509C2×C42C2×D411yescharacteristic
1510C2×C42C2×D411yescharacteristic
1511C2×C42C2×D411yescharacteristic
1512C2×C42C2×D411yescharacteristic
1513C2×C42C2411yescharacteristic
1514C2×C42C2412yes—
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517C2×C42C2411yescharacteristic
1518C2×C42C2411yescharacteristic
1519C2×C42C2411yescharacteristic
1520#107C2412yes—
1521#107C2414yes—
1522#107C2414yes—
1523#107C2414yes—
1524#107C2412yes—
1525#107C2414yes—
1526#107C2414yes—
1527#107C2414yes—
1528#107C2414yes—
1529#107C2412yes—
1530#107C2412yes—
1531#107C2414yes—
1532#107C2414yes—
1533#107C2414yes—
1534#106C2412yes—
1535#106C2414yes—
1536#106C2414yes—
1537#106C2414yes—
1538#106C2412yes—
1539#106C2414yes—
1540#106C2414yes—
1541#106C2414yes—
1542#106C2414yes—
1543#106C2414yes—
1544#106C2412yes—
1545#106C2412yes—
1546#106C2414yes—
1547#106C2414yes—
1548C4⋊C8C2412yes—
1549C4⋊C8C2412yes—
1550C4⋊C8C2412yes—
1551C4⋊C8C2412yes—
1552C4⋊C8C2412yes—
1553C4⋊C8C2412yes—
1554C4⋊C8C2412yes—
1555C4⋊C8C2412yes—
1556C4⋊C8C2414yes—
1557C4⋊C8C2414yes—
1558C4⋊C8C2414yes—
1559C4⋊C8C2414yes—
1560#103C2414yes—
1561#103C2414yes—
1562#103C2414yes—
1563#103C2414yes—
1564#103C2414yes—
1565#103C2414yes—
1566#103C2412yes—
1567#103C2412yes—
1568#103C2412yes—
1569#103C2414yes—
1570#103C2414yes—
1571#103C2412yes—
1572#102C2412yes—
1573#102C2412yes—
1574#102C2414yes—
1575#102C2414yes—
1576#102C2414yes—
1577#102C2414yes—
1578#102C2414yes—
1579#102C2414yes—
1580#102C2412yes—
1581#102C2412yes—
1582#102C2414yes—
1583#102C2414yes—
1584#102C2412yes—
1585#102C2412yes—
1586#102C2414yes—
1587#102C2414yes—
1588#102C2414yes—
1589#102C2414yes—
1590#102C2412yes—
1591#102C2414yes—
1592#102C2412yes—
1593#102C2414yes—
1594#102C2412yes—
1595#102C2412yes—
1596#102C2412yes—
1597#102C2414yes—
1598#102C2412yes—
1599#102C2414yes—
1600C22⋊C8C2412yes—
1601C22⋊C8C2414yes—
1602C22⋊C8C2414yes—
1603C22⋊C8C2414yes—
1604C22⋊C8C2412yes—
1605C22⋊C8C2412yes—
1606C22⋊C8C2414yes—
1607C22⋊C8C2412yes—
1608C22⋊C8C2414yes—
1609C22⋊C8C2414yes—
1610#97C2412yes—
1611#97C2412yes—
1612#97C2414yes—
1613#97C2414yes—
1614#97C2414yes—
1615C4×C8C2414yes—
1616C4×C8C2412yes—
1617C4×C8C2412yes—
1618C4×C8C2414yes—
1619C4×C8C2414yes—
1620C24—22no—
1621C24—24no—
1622C24C22×D412yes—
1623C24C22×D411yescharacteristic
1624#41—42no—
1625#41—42no—
1626#41—44no—
1627#41—44no—
1628#41—44no—
1629#41—44no—
1630#41—44no—
1631#41—42no—
1632#41—42no—
1633#41—82no—
1634#41—84no—
1635#41—84no—
1636#41—84no—
1637#41—82no—
1638#41—82no—
1639#41—88no—
1640#41—84no—
1641#41—88no—
1642#41—84no—
1643#41—82no—
1644#41—82no—
1645#41—84no—
1646#41—84no—
1647C2×Q8—22no—
1648C2×Q8—21no—
1649C2×Q8—21no—
1650C2×Q8—21no—
1651C2×Q8—21no—
1652C2×Q8—24no—
1653C2×Q8—22no—
1654C2×Q8—22no—
1655C2×Q8—22no—
1656C2×Q8—21no—
1657C2×Q8—24no—
1658C2×Q8—21no—
1659C2×Q8—24no—
1660C2×Q8—22no—
1661C2×Q8—42no—
1662C2×Q8—82no—
1663C2×Q8—82no—
1664C2×Q8—84no—
1665C2×Q8—84no—
1666C2×Q8—82no—
1667C2×Q8—84no—
1668C2×Q8C22×D412yes—
1669C2×Q8C22×D412yes—
1670C2×Q8C2512yes—
1671C2×Q8C2512yes—
1672C2×D4—22no—
1673C2×D4—22no—
1674C2×D4—22no—
1675C2×D4—22no—
1676C2×D4—22no—
1677C2×D4—22no—
1678C2×D4—24no—
1679C2×D4—22no—
1680C2×D4—24no—
1681C2×D4—22no—
1682C2×D4—24no—
1683C2×D4—24no—
1684C2×D4—22no—
1685C2×D4—24no—
1686C2×D4—24no—
1687C2×D4—22no—
1688C2×D4—21no—
1689C2×D4—21no—
1690C2×D4—21no—
1691C2×D4—21no—
1692C2×D4—21no—
1693C2×D4—24no—
1694C2×D4—22no—
1695C2×D4—22no—
1696C2×D4—24no—
1697C2×D4—21no—
1698C2×D4—21no—
1699C2×D4—21no—
1700C2×D4—24no—
1701C2×D4—22no—
1702C2×D4—42no—
1703C2×D4—44no—
1704C2×D4—44no—
1705C2×D4—42no—
1706C2×D4—42no—
1707C2×D4—84no—
1708C2×D4—82no—
1709C2×D4—82no—
1710C2×D4—84no—
1711C2×D4—82no—
1712C2×D4—88no—
1713C2×D4—84no—
1714C2×D4—88no—
1715C2×D4C22×D412yes—
1716C2×D4C22×D414yes—
1717C2×D4C22×D414yes—
1718C2×D4C22×D412yes—
1719C2×D4C2512yes—
1720C2×D4C2512yes—
1721C2×D4C2512yes—
1722C2×D4C2512yes—
1723C22×C4—22no—
1724C22×C4—22no—
1725C22×C4—24no—
1726C22×C4—24no—
1727C22×C4—22no—
1728C22×C4—24no—
1729C22×C4—22no—
1730C22×C4—22no—
1731C22×C4—22no—
1732C22×C4—22no—
1733C22×C4—22no—
1734C22×C4—22no—
1735C22×C4—22no—
1736C22×C4—22no—
1737C22×C4—24no—
1738C22×C4—24no—
1739C22×C4—22no—
1740C22×C4—24no—
1741C22×C4—24no—
1742C22×C4—24no—
1743C22×C4—24no—
1744C22×C4—22no—
1745C22×C4—42no—
1746C22×C4—42no—
1747C22×C4—42no—
1748C22×C4—41no—
1749C22×C4—41no—
1750C22×C4—84no—
1751C22×C4—81no—
1752C22×C4C22×D411yescharacteristic
1753C22×C4C22×D411yescharacteristic
1754C22×C4C22×D411yescharacteristic
1755C22×C4C22×D411yescharacteristic
1756C22×C4C22×D414yes—
1757C22×C4C22×D411yescharacteristic
1758C22×C4C22×D411yescharacteristic
1759C22×C4C22×D411yescharacteristic
1760C22×C4C22×D411yescharacteristic
1761C22×C4C22×D411yescharacteristic
1762C22×C4C22×D411yescharacteristic
1763C22×C4C22×D411yescharacteristic
1764C22×C4C22×D411yescharacteristic
1765C22×C4C22×D411yescharacteristic
1766C22×C4C22×D411yescharacteristic
1767C22×C4C22×D411yescharacteristic
1768C22×C4C22×D412yes—
1769C22×C4C22×D412yes—
1770C22×C4C22×D412yes—
1771C22×C4C2511yescharacteristic
1772C22×C4C2511yescharacteristic
1773C22×C4C2511yescharacteristic
1774C22×C4C2514yes—
1775Q16—44no—
1776SD16—42no—
1777SD16—42no—
1778SD16—44no—
1779SD16—44no—
1780SD16—42no—
1781SD16—42no—
1782D8—42no—
1783D8—42no—
1784D8—44no—
1785D8—42no—
1786D8—42no—
1787M16—41no—
1788M16—41no—
1789M16—42no—
1790M16—44no—
1791M16—42no—
1792M16—44no—
1793M16—41no—
1794M16—41no—
1795C2×C8—44no—
1796C2×C8—44no—
1797C2×C8C2512yes—
1798C2×C8C2512yes—
1799C2×C8C2514yes—
1800C2×C8C2514yes—
1801C2×C8C2512yes—
1802C2×C8C2512yes—
1803C4⋊C4—21no—
1804C4⋊C4—21no—
1805C4⋊C4—22no—
1806C4⋊C4—22no—
1807C4⋊C4—24no—
1808C4⋊C4—24no—
1809C4⋊C4—21no—
1810C4⋊C4—22no—
1811C4⋊C4—21no—
1812C4⋊C4—24no—
1813C4⋊C4—24no—
1814C4⋊C4—24no—
1815C4⋊C4—24no—
1816C4⋊C4—24no—
1817C4⋊C4—24no—
1818C4⋊C4—24no—
1819C4⋊C4—24no—
1820C4⋊C4—24no—
1821C4⋊C4—22no—
1822C4⋊C4—22no—
1823C4⋊C4—22no—
1824C4⋊C4—24no—
1825C4⋊C4—24no—
1826C4⋊C4—22no—
1827C4⋊C4—22no—
1828C4⋊C4—22no—
1829C4⋊C4—22no—
1830C4⋊C4—22no—
1831C4⋊C4—24no—
1832C4⋊C4—24no—
1833C4⋊C4—22no—
1834C4⋊C4—22no—
1835C4⋊C4—22no—
1836C4⋊C4—21no—
1837C4⋊C4—21no—
1838C4⋊C4—24no—
1839C4⋊C4—21no—
1840C4⋊C4—21no—
1841C4⋊C4—21no—
1842C4⋊C4—21no—
1843C4⋊C4—24no—
1844C4⋊C4—24no—
1845C4⋊C4—22no—
1846C4⋊C4—22no—
1847C4⋊C4—24no—
1848C4⋊C4—24no—
1849C4⋊C4—22no—
1850C4⋊C4—22no—
1851C4⋊C4—24no—
1852C4⋊C4—22no—
1853C4⋊C4—22no—
1854C4⋊C4—24no—
1855C4⋊C4C22×D412yes—
1856C4⋊C4C22×D412yes—
1857C4⋊C4C22×D414yes—
1858C4⋊C4C22×D414yes—
1859C4⋊C4C22×D414yes—
1860C4⋊C4C22×D414yes—
1861C4⋊C4C22×D414yes—
1862C4⋊C4C22×D414yes—
1863C4⋊C4C22×D414yes—
1864C4⋊C4C22×D412yes—
1865C4⋊C4C22×D412yes—
1866C4⋊C4C22×D414yes—
1867C4⋊C4C2512yes—
1868C4⋊C4C2514yes—
1869C4⋊C4C2512yes—
1870C4⋊C4C2514yes—
1871C4⋊C4C2512yes—
1872C4⋊C4C2512yes—
1873C4⋊C4C2512yes—
1874C4⋊C4C2512yes—
1875C22⋊C4—24no—
1876C22⋊C4—22no—
1877C22⋊C4—22no—
1878C22⋊C4—24no—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—22no—
1884C22⋊C4—22no—
1885C22⋊C4—22no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—22no—
1889C22⋊C4—22no—
1890C22⋊C4—22no—
1891C22⋊C4—22no—
1892C22⋊C4—22no—
1893C22⋊C4—22no—
1894C22⋊C4—24no—
1895C22⋊C4—24no—
1896C22⋊C4—22no—
1897C22⋊C4—22no—
1898C22⋊C4—22no—
1899C22⋊C4—24no—
1900C22⋊C4—22no—
1901C22⋊C4—24no—
1902C22⋊C4—24no—
1903C22⋊C4—22no—
1904C22⋊C4—22no—
1905C22⋊C4—24no—
1906C22⋊C4—22no—
1907C22⋊C4—22no—
1908C22⋊C4—22no—
1909C22⋊C4—24no—
1910C22⋊C4—22no—
1911C22⋊C4—22no—
1912C22⋊C4—24no—
1913C22⋊C4—24no—
1914C22⋊C4—22no—
1915C22⋊C4—22no—
1916C22⋊C4—24no—
1917C22⋊C4—22no—
1918C22⋊C4—24no—
1919C22⋊C4—24no—
1920C22⋊C4—22no—
1921C22⋊C4C22×D414yes—
1922C22⋊C4C22×D414yes—
1923C22⋊C4C22×D414yes—
1924C22⋊C4C22×D414yes—
1925C22⋊C4C22×D414yes—
1926C22⋊C4C22×D414yes—
1927C22⋊C4C22×D414yes—
1928C22⋊C4C22×D414yes—
1929C22⋊C4C22×D414yes—
1930C22⋊C4C22×D414yes—
1931C42—24no—
1932C42—22no—
1933C42—24no—
1934C42—22no—
1935C42—22no—
1936C42—22no—
1937C42—24no—
1938C42—22no—
1939C42—22no—
1940C42—24no—
1941C42—24no—
1942C42—24no—
1943C42—24no—
1944C42—24no—
1945C42C22×D411yescharacteristic
1946C42C22×D411yescharacteristic
1947C42C22×D414yes—
1948C42C22×D411yescharacteristic
1949C42C22×D411yescharacteristic
1950C42C22×D411yescharacteristic
1951C42C22×D411yescharacteristic
1952C42C22×D411yescharacteristic
1953C42C22×D411yescharacteristic
1954C42C22×D411yescharacteristic
1955C42C22×D411yescharacteristic
1956C42C22×D411yescharacteristic
1957C42C22×D411yescharacteristic
1958C42C2511yescharacteristic
1959C42C2511yescharacteristic
1960C42C2514yes—
1961C42C2511yescharacteristic
1962C42C2511yescharacteristic
1963C23—22no—
1964C23—22no—
1965C23—22no—
1966C23—22no—
1967C23—41no—
1968C23—41no—
1969C23—41no—
1970C23—42no—
1971C23—42no—
1972C23—42no—
1973C23—44no—
1974C23—82no—
1975C23—82no—
1976C23—84no—
1977C23—84no—
1978C23—84no—
1979C23C23×D411yescharacteristic
1980C23C23×D411yescharacteristic
1981C23C23×D414yes—
1982C23C23×D411yescharacteristic
1983Q8—24no—
1984Q8—22no—
1985Q8—22no—
1986Q8—22no—
1987Q8—22no—
1988Q8—42no—
1989Q8—42no—
1990Q8—42no—
1991Q8—42no—
1992Q8—44no—
1993Q8—82no—
1994Q8—84no—
1995Q8—82no—
1996Q8—82no—
1997Q8—84no—
1998Q8—82no—
1999Q8—81no—
2000Q8—81no—
2001Q8—81no—
2002Q8—84no—
2003D4—24no—
2004D4—22no—
2005D4—22no—
2006D4—22no—
2007D4—22no—
2008D4—22no—
2009D4—22no—
2010D4—22no—
2011D4—22no—
2012D4—42no—
2013D4—44no—
2014D4—44no—
2015D4—42no—
2016D4—42no—
2017D4—44no—
2018D4—44no—
2019D4—44no—
2020D4—44no—
2021D4—44no—
2022D4—44no—
2023D4—42no—
2024D4—84no—
2025D4—82no—
2026D4—81no—
2027D4—81no—
2028D4—82no—
2029D4—84no—
2030D4—82no—
2031D4—81no—
2032D4—81no—
2033D4—81no—
2034D4—84no—
2035D4—84no—
2036D4—84no—
2037D4—84no—
2038D4—82no—
2039D4—82no—
2040D4—82no—
2041D4—84no—
2042D4—82no—
2043D4—84no—
2044D4—84no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—24no—
2049C2×C4—24no—
2050C2×C4—21no—
2051C2×C4—21no—
2052C2×C4—21no—
2053C2×C4—21no—
2054C2×C4—21no—
2055C2×C4—21no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—24no—
2061C2×C4—24no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—41no—
2067C2×C4—44no—
2068C2×C4—41no—
2069C2×C4—41no—
2070C2×C4—42no—
2071C2×C4—41no—
2072C2×C4—41no—
2073C2×C4—41no—
2074C2×C4—41no—
2075C2×C4—41no—
2076C2×C4—41no—
2077C2×C4—41no—
2078C2×C4—41no—
2079C2×C4—41no—
2080C2×C4—42no—
2081C2×C4—42no—
2082C2×C4—44no—
2083C2×C4—44no—
2084C2×C4—44no—
2085C2×C4—44no—
2086C2×C4—44no—
2087C2×C4—44no—
2088C2×C4—82no—
2089C2×C4—82no—
2090C2×C4—84no—
2091C2×C4—84no—
2092C2×C4—84no—
2093C2×C4—84no—
2094C2×C4—82no—
2095C2×C4—84no—
2096C2×C4—82no—
2097C2×C4—82no—
2098C2×C4—84no—
2099C2×C4—82no—
2100C2×C4—84no—
2101C2×C4—82no—
2102C2×C4—84no—
2103C2×C4—84no—
2104C2×C4C23×D411yescharacteristic
2105C2×C4C23×D411yescharacteristic
2106C2×C4C23×D414yes—
2107C2×C4C23×D411yescharacteristic
2108C2×C4C23×D411yescharacteristic
2109C2×C4C23×D411yescharacteristic
2110C2×C4C23×D411yescharacteristic
2111C2×C4C23×D414yes—
2112C2×C4C23×D414yes—
2113C2×C4C23×D411yescharacteristic
2114C2×C4C23×D411yescharacteristic
2115C2×C4C23×D411yescharacteristic
2116C2×C4C23×D411yescharacteristic
2117C2×C4C23×D411yescharacteristic
2118C2×C4C2611yescharacteristic
2119C8—22no—
2120C8—22no—
2121C8—24no—
2122C8—24no—
2123C8—22no—
2124C8—22no—
2125C22—21no—
2126C22—21no—
2127C22—21no—
2128C22—24no—
2129C22—21no—
2130C22—21no—
2131C22—21no—
2132C22—24no—
2133C22—21no—
2134C22—21no—
2135C22—24no—
2136C22—21no—
2137C22—42no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—42no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—42no—
2147C22—42no—
2148C22—42no—
2149C22—82no—
2150C22—162no—
2151C22—164no—
2152C22—324no—
2153C22C24×D411yescharacteristic
2154C4—21no—
2155C4—21no—
2156C4—21no—
2157C4—24no—
2158C4—21no—
2159C4—21no—
2160C4—21no—
2161C4—21no—
2162C4—24no—
2163C4—21no—
2164C4—21no—
2165C4—24no—
2166C4—21no—
2167C4—42no—
2168C4—42no—
2169C4—42no—
2170C4—42no—
2171C4—44no—
2172C4—44no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—42no—
2177C4#358512yes—
2178C42−1+611yescharacteristic
2179C42−1+611yescharacteristic
2180C2—41no—
2181C2—41no—
2182C2—41no—
2183C2—44no—
2184C2—82no—
2185C2—82no—
2186C2—82no—
2187C2—82no—
2188C2#6285911yescharacteristic
2189C2C2×#358511yescharacteristic
2190C2#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. #62830C2semidirect
2. #62752C2semidirect
3. #62618C2semidirect
4. #62617C2semidirect
5. #62564C2semidirect
6. #62521C2semidirect
7. #62520C2semidirect
8. #62498C2semidirect
9. #62242C2semidirect
10. #62241C2semidirect
11. #62236C2semidirect
12. #62235C2semidirect
13. #62190C2semidirect
14. #62189C2semidirect
15. #62188C2semidirect
16. #62187C2semidirect
17. #61840C2semidirect
18. #61839C2semidirect
19. #61734C2semidirect
20. #61733C2semidirect
21. #61725C2semidirect
22. #61714C2semidirect
23. #60985C2semidirect
24. #60967C2semidirect
25. #60951C2semidirect
26. #60875C2semidirect
27. #60864C2semidirect
28. #60862C2semidirect
29. #60289C2semidirect
30. #3565C22semidirect
33. #3563C22semidirect
37. #3559C22semidirect
38. #3555C22semidirect
40. #3552C22semidirect
43. #3547C22semidirect
45. #3544C22semidirect
69. Q8×#41C22semidirect
70. #3475C22semidirect
71. #3475C22semidirect
74. #3458C22semidirect
75. #3455C22semidirect
77. #3444C22semidirect
78. C2×#533C22semidirect
81. #3390C22semidirect
82. #3388C22semidirect
83. #3386C22semidirect
84. #3386C22semidirect
85. #3385C22semidirect
86. #3384C22semidirect
87. #3384C22semidirect
88. #3384C22semidirect
89. #3381C22semidirect
90. #3380C22semidirect
91. Q8×SD16C22semidirect
92. Q8×D8C22semidirect
93. #3371C22semidirect
94. #3370C22semidirect
95. #3369C22semidirect
96. #3368C22semidirect
97. #3368C22semidirect
98. #3367C22semidirect
99. #3366C22semidirect
100. #3366C22semidirect
101. #3364C22semidirect
102. #3362C22semidirect
103. #3360C22semidirect
104. #3358C22semidirect
105. #3357C22semidirect
106. #3357C22semidirect
107. #3357C22semidirect
108. #3356C22semidirect
109. #3355C22semidirect
110. #3355C22semidirect
111. #3354C22semidirect
112. #3354C22semidirect
113. #3354C22semidirect
114. #3353C22semidirect
115. #3351C22semidirect
116. #3351C22semidirect
117. #3350C22semidirect
118. #3350C22semidirect
119. #3349C22semidirect
120. #3348C22semidirect
121. #3347C22semidirect
122. #3347C22semidirect
123. #3346C22semidirect
124. #3346C22semidirect
125. #3345C22semidirect
126. #3345C22semidirect
127. #3344C22semidirect
128. #3343C22semidirect
129. #3341C22semidirect
130. #3340C22semidirect
131. #3335C22semidirect
132. #3334C22semidirect
133. #3333C22semidirect
134. #3332C22semidirect
135. #3331C22semidirect
136. #3330C22semidirect
137. #3325C22semidirect
138. #3325C22semidirect
139. #3324C22semidirect
140. #3324C22semidirect
141. #3323C22semidirect
142. #3323C22semidirect
143. #3322C22semidirect
144. #3322C22semidirect
145. #3319C22semidirect
146. #3318C22semidirect
147. #3318C22semidirect
148. #3317C22semidirect
149. #3317C22semidirect
150. #3314C22semidirect
151. #3311C22semidirect
152. #3310C22semidirect
153. #3310C22semidirect
154. #3309C22semidirect
155. #3309C22semidirect
156. #3306C22semidirect
157. #3303C22semidirect
158. #3302C22semidirect
159. #3295C22semidirect
160. #3294C22semidirect
161. #3260C22semidirect
162. #3259C22semidirect
163. #3258C22semidirect
164. #3257C22semidirect
165. #3255C22semidirect
166. #3254C22semidirect
167. #3254C22semidirect
168. #3254C22semidirect
169. #3254C22semidirect
170. #3253C22semidirect
171. #3253C22semidirect
172. #3253C22semidirect
173. #3244C22semidirect
174. #3244C22semidirect
175. #3244C22semidirect
176. #3243C22semidirect
177. #3243C22semidirect
178. #3243C22semidirect
179. #3241C22semidirect
180. #3241C22semidirect
181. #3241C22semidirect
182. #3241C22semidirect
183. #3240C22semidirect
184. #3240C22semidirect
185. #3240C22semidirect
186. #3238C22semidirect
188. #3235C22semidirect
189. #3235C22semidirect
190. #3235C22semidirect
191. #3234C22semidirect
192. #3234C22semidirect
193. #3233C22semidirect
194. #3233C22semidirect
195. #3233C22semidirect
196. #3231C22semidirect
197. #3231C22semidirect
198. #3228C22semidirect
199. #3228C22semidirect
200. #3228C22semidirect
201. #3228C22semidirect
202. #3227C22semidirect
203. #3226C22semidirect
204. #3224C22semidirect
205. #3224C22semidirect
206. #3217C22semidirect
207. #3214C22semidirect
208. #3212C22semidirect
209. #3212C22semidirect
210. #3197C22semidirect
211. #3197C22semidirect
212. #3194C22semidirect
213. #3194C22semidirect
214. #3194C22semidirect
215. #3191C22semidirect
216. #3188C22semidirect
217. #3183C22semidirect
218. #3179C22semidirect
219. #3179C22semidirect
220. #3175C22semidirect
221. #3173C22semidirect
222. #3171C22semidirect
223. #3171C22semidirect
224. #3165C22semidirect
225. #3165C22semidirect
226. #3165C22semidirect
227. #3164C22semidirect
228. #3163C22semidirect
229. #3141C22semidirect
230. #3141C22semidirect
231. #3138C22semidirect
232. #3136C22semidirect
233. #3136C22semidirect
234. #3123C22semidirect
235. #3122C22semidirect
236. #3120C22semidirect
237. #3119C22semidirect
238. #3116C22semidirect
239. #3116C22semidirect
240. #3115C22semidirect
241. #3115C22semidirect
242. #3115C22semidirect
243. #3111C22semidirect
245. #3106C22semidirect
246. #3106C22semidirect
247. #3102C22semidirect
248. #3101C22semidirect
249. #3100C22semidirect
250. #3094C22semidirect
251. #3094C22semidirect
252. #3093C22semidirect
253. #3093C22semidirect
254. #3093C22semidirect
255. #3091C22semidirect
256. C2×#482C22semidirect
257. #3084C22semidirect
258. #3083C22semidirect
259. #3081C22semidirect
260. #3081C22semidirect
261. #3080C22semidirect
262. #3080C22semidirect
263. #3077C22semidirect
264. #3077C22semidirect
265. #2995C22semidirect
266. #2995C22semidirect
267. #2993C22semidirect
268. #2993C22semidirect
269. #2984C22semidirect
270. #2975C22semidirect
271. #2974C22semidirect
272. #2973C22semidirect
273. #2969C22semidirect
274. #2969C22semidirect
275. #2967C22semidirect
276. #2924C22semidirect
277. #2920C22semidirect
278. #2920C22semidirect

Maximal subgroups

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

subgroupindex
#628302
#627522
#626182
#626172
#625642
#625212
#625202
#624982
#622422
#622412
#622362
#622352
#621902
#621892
#621882
#621872
#618402
#618392
#617342
#617332
#617252
#617142
#609852
#609672
#609512
#608752
#608642
#608622
#602892