Finite Group Databasebeta

← #10582667

Subgroups — #10582667

Order 512.

5956 conjugacy classes of subgroups.

The subgroup lattice has 2180 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#62610C212yesmaximal, complemented
4#62608C212yesmaximal, complemented
5#62575C212yesmaximal, complemented
6#62573C212yesmaximal, complemented
7#62522C212yesmaximal, complemented
8#62520C212yesmaximal, complemented
9#62501C212yesmaximal, complemented
10#62500C212yesmaximal, complemented
11#62224C214yesmaximal, complemented
12#62223C214yesmaximal, complemented
13#62186C212yesmaximal, complemented
14#62185C212yesmaximal, complemented
15#62180C212yesmaximal, complemented
16#62179C212yesmaximal, complemented
17#61845C212yesmaximal, complemented
18#61840C212yesmaximal, complemented
19#61743C212yesmaximal, complemented
20#61733C212yesmaximal, complemented
21#61725C214yesmaximal, complemented
22#61714C214yesmaximal, complemented
23#60986C214yesmaximal, complemented
24#60965C211yesmaximal, characteristic, complemented
25#60953C211yesmaximal, characteristic, complemented
26#60875C214yesmaximal, complemented
27#60864C211yesmaximal, characteristic, complemented
28#60863C211yesmaximal, 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#3389C2214yescomplemented
82#3388C2214yescomplemented
83#3387C2212yescomplemented
84#3386C2214yescomplemented
85#3386C2212yescomplemented
86#3386C2212yescomplemented
87#3384C2214yescomplemented
88#3384C2212yescomplemented
89#3383C2212yescomplemented
90#3381C2212yescomplemented
91Q8×SD16C2212yescomplemented
92Q8×D8C2212yescomplemented
93#3377C2214yescomplemented
94#3376C2214yescomplemented
95#3375C2212yescomplemented
96#3373C2212yescomplemented
97#3368C2214yescomplemented
98#3368C2212yescomplemented
99#3366C2214yescomplemented
100#3366C2212yescomplemented
101#3365C2212yescomplemented
102#3362C2212yescomplemented
103#3361C2212yescomplemented
104#3358C2212yescomplemented
105#3357C2214yescomplemented
106#3357C2214yescomplemented
107#3356C2214yescomplemented
108#3356C2212yescomplemented
109#3355C2214yescomplemented
110#3355C2214yescomplemented
111#3354C2214yescomplemented
112#3354C2212yescomplemented
113#3353C2212yescomplemented
114#3353C2212yescomplemented
115#3351C2214yescomplemented
116#3351C2214yescomplemented
117#3350C2214yescomplemented
118#3348C2214yescomplemented
119#3348C2214yescomplemented
120#3347C2214yescomplemented
121#3347C2214yescomplemented
122#3347C2214yescomplemented
123#3346C2214yescomplemented
124#3346C2214yescomplemented
125#3345C2214yescomplemented
126#3345C2214yescomplemented
127#3344C2214yescomplemented
128#3343C2214yescomplemented
129#3342C2212yescomplemented
130#3340C2212yescomplemented
131#3335C2212yescomplemented
132#3334C2212yescomplemented
133#3333C2214yescomplemented
134#3333C2212yescomplemented
135#3332C2214yescomplemented
136#3332C2212yescomplemented
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#3315C2214yescomplemented
150#3314C2214yescomplemented
151#3311C2214yescomplemented
152#3310C2214yescomplemented
153#3310C2214yescomplemented
154#3309C2214yescomplemented
155#3307C2214yescomplemented
156#3306C2214yescomplemented
157#3305C2212yescomplemented
158#3304C2212yescomplemented
159#3295C2212yescomplemented
160#3294C2212yescomplemented
161#3263C2214yescomplemented
162#3262C2214yescomplemented
163#3257C2214yescomplemented
164#3257C2214yescomplemented
165#3252C2212yescomplemented
166#3251C2212yescomplemented
167#3251C2212yescomplemented
168#3251C2212yescomplemented
169#3244C2214yescomplemented
170#3244C2214yescomplemented
171#3243C2214yescomplemented
172#3243C2214yescomplemented
173#3242C2214yescomplemented
174#3241C2214yescomplemented
175#3241C2214yescomplemented
176#3241C2214yescomplemented
177#3241C2214yescomplemented
178#3241C2214yescomplemented
179#3240C2214yescomplemented
180#3240C2212yescomplemented
181#3237C2212yescomplemented
182#3237C2211yescharacteristic, complemented
183#3237C2212yescomplemented
184#3235C2212yescomplemented
185#3235C2214yescomplemented
186#3235C2211yescharacteristic, complemented
187#3235C2212yescomplemented
188#3235C2214yescomplemented
189#3234C2212yescomplemented
190#3234C2212yescomplemented
191#3233C2214yescomplemented
192#3233C2212yescomplemented
193#3233C2214yescomplemented
194#3233C2212yescomplemented
195#3229C2211yescharacteristic, complemented
196#3228C2212yes—
197#3228C2214yescomplemented
198#3228C2212yescomplemented
199#3228C2212yescomplemented
200#3227C2211yescharacteristic, complemented
201#3227C2211yescharacteristic, complemented
202#3226C2211yescharacteristic, complemented
203#3226C2211yescharacteristic, complemented
204#3226C2211yescharacteristic, complemented
205#3222C2214yescomplemented
206#3220C2214yescomplemented
207#3219C2212yescomplemented
208#3216C2211yescharacteristic, complemented
209#3214C2211yescharacteristic, complemented
210#3208C2211yescharacteristic, complemented
211#3207C2212yescomplemented
212#3205C2211yescharacteristic, complemented
213#3197C2212yescomplemented
214#3197C2212yescomplemented
215#3197C2214yescomplemented
216#3194C2214yescomplemented
217#3194C2214yescomplemented
218#3191C2214yescomplemented
219#3188C2214yescomplemented
220#3184C2212yescomplemented
221#3182C2212yescomplemented
222#3179C2214yescomplemented
223#3178C2214yescomplemented
224#3176C2214yescomplemented
225#3174C2214yescomplemented
226#3172C2212yescomplemented
227#3171C2212yescomplemented
228#3166C2212yescomplemented
229#3165C2212yescomplemented
230#3164C2214yescomplemented
231#3163C2214yescomplemented
232#3142C2212yescomplemented
233#3138C2212yescomplemented
234#3136C2214yescomplemented
235#3136C2214yescomplemented
236#3125C2214yescomplemented
237#3124C2214yescomplemented
238#3118C2214yescomplemented
239#3118C2214yescomplemented
240#3115C2212yes—
241#3115C2214yescomplemented
242#3115C2212yescomplemented
243#3114C2214yescomplemented
244#3111C2214yescomplemented
245#3107C2212yescomplemented
246#3106C2212yescomplemented
247#3106C2214yescomplemented
248#3102C2212yescomplemented
249#3102C2212yescomplemented
250#3102C2214yescomplemented
251#3094C2212yescomplemented
252#3094C2212yescomplemented
253#3094C2214yescomplemented
254#3093C2214yescomplemented
255#3093C2214yescomplemented
256#3091C2214yescomplemented
257C2×#482C2214yescomplemented
258#3084C2214yescomplemented
259#3083C2214yescomplemented
260#3081C2214yescomplemented
261#3081C2214yescomplemented
262#3079C2212yescomplemented
263#3079C2212yescomplemented
264#3077C2214yescomplemented
265#2995C2214yescomplemented
266#2993C2212yescomplemented
267#2993C2212yescomplemented
268#2984C2212yescomplemented
269#2975C2212yescomplemented
270#2974C2212yescomplemented
271#2973C2212yescomplemented
272#2969C2212yescomplemented
273#2969C2212yescomplemented
274#2967C2212yescomplemented
275#2967C2212yescomplemented
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#550C2312yes—
356#550C2314yes—
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#532C2314yes—
501#532C2311yescharacteristic
502#532C2311yescharacteristic
503#532C2311yescharacteristic
504#532C2312yes—
505#532C2311yescharacteristic
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#529C2312yes—
536#529C2314yes—
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#500C2312yes—
610#499C2314yes—
611#499C2314yes—
612#499C2314yes—
613#499C2314yes—
614#498C2312yes—
615#498C2312yes—
616#498C2314yes—
617#498C2312yes—
618#497C2312yes—
619#496C2312yes—
620#493C2312yes—
621#492C2312yes—
622#491C2314yes—
623#491C2312yes—
624#490C2314yes—
625#490C2314yes—
626#490C2314yes—
627#490C2314yes—
628#490C2314yes—
629#490C2312yes—
630#489C2314yes—
631#489C2314yes—
632#489C2312yes—
633#489C2312yes—
634#488C2314yes—
635#488C2314yes—
636#488C2314yes—
637#488C2314yes—
638#487C2312yes—
639#486C2312yes—
640#486C2314yes—
641#486C2314yes—
642#486C2312yes—
643#486C2312yes—
644#486C2312yes—
645#486C2312yes—
646#486C2312yes—
647#486C2312yes—
648#485C2314yes—
649#485C2314yes—
650#485C2314yes—
651#485C2314yes—
652#485C2312yes—
653#485C2314yes—
654#485C2312yes—
655#485C2314yes—
656#485C2314yes—
657#485C2314yes—
658#485C2312yes—
659#485C2312yes—
660#484C2314yes—
661#484C2314yes—
662#483C2314yes—
663#483C2314yes—
664#483C2314yes—
665#482C2314yes—
666#482C2312yes—
667#482C2314yes—
668#482C2314yes—
669#482C2314yes—
670#482C2314yes—
671#482C2314yes—
672#482C2314yes—
673#482C2314yes—
674#482C2312yes—
675#482C2314yes—
676#482C2314yes—
677#482C2314yes—
678#482C2314yes—
679#482C2314yes—
680#482C2314yes—
681#482C2314yes—
682#482C2314yes—
683#482C2314yes—
684#482C2314yes—
685#482C2312yes—
686#482C2312yes—
687#481C2312yes—
688#481C2314yes—
689#481C2314yes—
690#481C2314yes—
691#481C2312yes—
692#481C2314yes—
693#481C2312yes—
694#481C2312yes—
695#480C2312yes—
696#480C2314yes—
697#480C2314yes—
698#480C2314yes—
699#480C2314yes—
700#480C2312yes—
701#480C2314yes—
702#480C2312yes—
703#480C2312yes—
704#479C2312yes—
705#479C2314yes—
706#479C2312yes—
707#479C2314yes—
708#479C2314yes—
709#479C2314yes—
710#478C2314yes—
711#478C2314yes—
712#478C2314yes—
713#478C2314yes—
714#478C2312yes—
715#478C2312yes—
716#478C2314yes—
717#478C2314yes—
718#478C2314yes—
719#478C2314yes—
720#478C2314yes—
721#478C2314yes—
722#478C2314yes—
723#478C2314yes—
724#478C2314yes—
725#478C2314yes—
726#477C2312yes—
727#477C2314yes—
728#477C2314yes—
729#477C2312yes—
730#477C2312yes—
731#477C2314yes—
732#476C2314yes—
733#476C2314yes—
734#476C2312yes—
735#476C2314yes—
736#476C2312yes—
737#476C2314yes—
738#476C2314yes—
739#476C2314yes—
740#476C2312yes—
741#476C2314yes—
742#475C2312yes—
743#475C2314yes—
744#475C2314yes—
745#475C2312yes—
746#475C2312yes—
747#475C2312yes—
748#475C2314yes—
749#475C2312yes—
750#474C2314yes—
751#474C2314yes—
752#474C2312yes—
753#474C2312yes—
754#474C2314yes—
755#474C2312yes—
756#474C2314yes—
757#474C2314yes—
758#474C2314yes—
759#474C2312yes—
760#474C2314yes—
761#474C2312yes—
762#470C2312yes—
763#470C2312yes—
764#470C2314yes—
765#469C2314yes—
766#469C2314yes—
767#469C2314yes—
768#469C2314yes—
769#469C2312yes—
770#469C2314yes—
771#469C2312yes—
772#468C2314yes—
773#468C2314yes—
774#468C2314yes—
775#468C2314yes—
776#468C2312yes—
777#468C2314yes—
778#468C2312yes—
779#468C2312yes—
780#468C2314yes—
781#468C2312yes—
782#467C2314yes—
783#466C2314yes—
784#466C2314yes—
785#466C2314yes—
786#465C2314yes—
787#465C2314yes—
788#465C2314yes—
789#465C2314yes—
790#464C2314yes—
791#464C2312yes—
792#464C2312yes—
793#464C2314yes—
794#463C2314yes—
795#463C2312yes—
796#463C2312yes—
797#463C2314yes—
798#463C2314yes—
799#463C2314yes—
800#462C2312yes—
801#461C2312yes—
802#460C2314yes—
803#460C2312yes—
804#460C2312yes—
805#460C2314yes—
806#460C2312yes—
807#459C2312yes—
808#459C2314yes—
809#459C2314yes—
810#459C2312yes—
811#459C2312yes—
812#452C2312yes—
813#452C2314yes—
814#452C2314yes—
815#452C2312yes—
816#452C2312yes—
817#452C2312yes—
818#450C2314yes—
819#450C2314yes—
820#450C2314yes—
821#449C2312yes—
822#449C2314yes—
823#449C2314yes—
824#449C2314yes—
825#449C2312yes—
826#449C2312yes—
827#449C2312yes—
828#449C2314yes—
829#447C2314yes—
830#447C2314yes—
831#447C2314yes—
832#446C2312yes—
833#446C2314yes—
834#446C2312yes—
835#446C2314yes—
836C8×Q8C2312yes—
837C8×Q8C2312yes—
838#442C2314yes—
839#442C2314yes—
840#442C2314yes—
841#442C2314yes—
842#442C2314yes—
843#441C2314yes—
844#440C2314yes—
845#440C2314yes—
846#440C2314yes—
847#440C2314yes—
848#440C2314yes—
849#440C2314yes—
850C4×Q16C2312yes—
851C4×Q16C2314yes—
852C4×Q16C2312yes—
853C4×SD16C2312yes—
854C4×SD16C2314yes—
855C4×SD16C2312yes—
856C4×SD16C2314yes—
857C4×SD16C2314yes—
858C4×SD16C2312yes—
859C4×SD16C2312yes—
860C4×SD16C2314yes—
861C4×D8C2312yes—
862C4×D8C2314yes—
863C4×D8C2312yes—
864C4×D8C2314yes—
865C4×D8C2314yes—
866#436C2314yes—
867#436C2312yes—
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#431C2311yescharacteristic
891#431C2311yescharacteristic
892#431C2314yes—
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#418C2314yes—
914#418C2314yes—
915#418C2314yes—
916#418C2314yes—
917#417C2314yes—
918#417C2314yes—
919#417C2314yes—
920#417C2314yes—
921#416C2314yes—
922#416C2314yes—
923C2×#102C2314yes—
924C2×#102C2314yes—
925#407C2312yes—
926#407C2314yes—
927#407C2311yescharacteristic
928#407C2311yescharacteristic
929C2×C22⋊C8C2314yes—
930#405C2314yes—
931#405C2314yes—
932C4×M16C2312yes—
933C4×M16C2312yes—
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×Q16C2412yes—
981C2×Q16C2412yes—
982C2×SD16C2412yes—
983C2×SD16C2412yes—
984C2×SD16C2412yes—
985C2×SD16C2414yes—
986C2×SD16C2412yes—
987C2×SD16C2414yes—
988C2×D8C2412yes—
989C2×D8C2414yes—
990C2×D8C2412yes—
991C2×D8C2414yes—
992C2×M16C2414yes—
993C2×M16C2412yes—
994C2×M16C2412yes—
995C2×M16C2414yes—
996C2×M16C2414yes—
997C22×C8C2414yes—
998C22×C8C2414yes—
999C4⋊Q8—22no—
1000C4⋊Q8—22no—
1001C4⋊Q8—24no—
1002C4⋊Q8—24no—
1003C4⋊Q8—24no—
1004C4⋊Q8—24no—
1005C4⋊Q8—22no—
1006C4⋊Q8—24no—
1007C4⋊Q8—24no—
1008C4⋊Q8—24no—
1009C4⋊Q8—21no—
1010C4⋊Q8—21no—
1011C4⋊Q8—21no—
1012C4⋊Q8—21no—
1013C4⋊Q8—21no—
1014C4⋊Q8—21no—
1015C4⋊Q8C2411yescharacteristic
1016C4⋊Q8C2411yescharacteristic
1017C4⋊Q8C2412yes—
1018C4⋊Q8C2411yescharacteristic
1019C4⋊Q8C2411yescharacteristic
1020C4⋊Q8C2412yes—
1021C4⋊Q8C2412yes—
1022C4⋊Q8C2412yes—
1023C4⋊Q8C2412yes—
1024C4⋊Q8C2411yescharacteristic
1025C4⋊Q8C2411yescharacteristic
1026C4⋊Q8C2411yescharacteristic
1027C4⋊Q8C2411yescharacteristic
1028C4⋊Q8C2414yes—
1029C4⋊Q8C2414yes—
1030C4⋊Q8C2414yes—
1031#127—22no—
1032#127—24no—
1033#127—21no—
1034#127—21no—
1035#127C2412yes—
1036#127C2411yescharacteristic
1037#127C2411yescharacteristic
1038#127C2411yescharacteristic
1039#127C2411yescharacteristic
1040#127C2414yes—
1041#126—24no—
1042#126—24no—
1043#126—24no—
1044#126—24no—
1045#126—24no—
1046#126—24no—
1047#126—24no—
1048#126—24no—
1049#126—24no—
1050#126—24no—
1051#126—24no—
1052#126—24no—
1053#126—24no—
1054#126—24no—
1055#126—24no—
1056#126—24no—
1057#126—24no—
1058#126—24no—
1059#126—24no—
1060#126—22no—
1061#126—22no—
1062#126—22no—
1063#126—22no—
1064#126—24no—
1065#126C2×D414yes—
1066#126C2×D414yes—
1067#126C2×D414yes—
1068#126C2×D414yes—
1069#125—24no—
1070#125—24no—
1071#125—24no—
1072#125—24no—
1073#125—22no—
1074#125—24no—
1075#125—24no—
1076#125—24no—
1077#125—24no—
1078#125—24no—
1079#125—24no—
1080#125—24no—
1081#125—24no—
1082#125—24no—
1083#125—24no—
1084#125—24no—
1085#125—24no—
1086#125—22no—
1087#125—22no—
1088#125—21no—
1089#125—21no—
1090#125—21no—
1091#125—21no—
1092#125C2×D412yes—
1093#125C2×D412yes—
1094#125C2×D412yes—
1095#125C2×D412yes—
1096#125C2414yes—
1097#125C2414yes—
1098#125C2412yes—
1099#125C2412yes—
1100#125C2414yes—
1101#125C2414yes—
1102#125C2414yes—
1103#124—22no—
1104#124—22no—
1105#124—22no—
1106#124—24no—
1107#124—24no—
1108#124—24no—
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—21no—
1118#124—21no—
1119#124—22no—
1120#124—21no—
1121#124—21no—
1122#124—22no—
1123#124—21no—
1124#124—21no—
1125#124—21no—
1126#124—21no—
1127#124—24no—
1128#124C2×D412yes—
1129#124C2×D412yes—
1130#124C2×D412yes—
1131#124C2×D412yes—
1132#124C2412yes—
1133#124C2412yes—
1134#124C2414yes—
1135#123—24no—
1136#123—24no—
1137#123—24no—
1138#123—22no—
1139#123—22no—
1140#123—22no—
1141#123—22no—
1142#123—22no—
1143#123—22no—
1144#123—24no—
1145#123—24no—
1146#123—24no—
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#123C2×D414yes—
1172#123C2×D414yes—
1173#123C2×D414yes—
1174#123C2×D414yes—
1175C22⋊Q8—22no—
1176C22⋊Q8—22no—
1177C22⋊Q8—22no—
1178C22⋊Q8—24no—
1179C22⋊Q8—21no—
1180C22⋊Q8—22no—
1181C22⋊Q8—22no—
1182C22⋊Q8—22no—
1183C22⋊Q8—22no—
1184C22⋊Q8—22no—
1185C22⋊Q8—22no—
1186C22⋊Q8—22no—
1187C22⋊Q8—22no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—24no—
1196C22⋊Q8—24no—
1197C22⋊Q8—22no—
1198C22⋊Q8—24no—
1199C22⋊Q8—22no—
1200C22⋊Q8—24no—
1201C22⋊Q8—22no—
1202C22⋊Q8—22no—
1203C22⋊Q8—22no—
1204C22⋊Q8—24no—
1205C22⋊Q8—24no—
1206C22⋊Q8—24no—
1207C22⋊Q8—22no—
1208C22⋊Q8—24no—
1209C22⋊Q8—24no—
1210C22⋊Q8—24no—
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⋊Q8C2×D412yes—
1231C22⋊Q8C2×D412yes—
1232C22⋊Q8C2×D412yes—
1233C22⋊Q8C2×D412yes—
1234C22⋊Q8C2412yes—
1235C22⋊Q8C2412yes—
1236C22⋊Q8C2412yes—
1237C22⋊Q8C2412yes—
1238C22⋊Q8C2414yes—
1239C22⋊Q8C2414yes—
1240C22⋊Q8C2414yes—
1241#121—22no—
1242#121—24no—
1243#121—22no—
1244#121—24no—
1245#121—24no—
1246#121—22no—
1247#121—24no—
1248#121—24no—
1249#121—24no—
1250#121—24no—
1251#121—21no—
1252#121—21no—
1253#121—21no—
1254#121—21no—
1255#121—21no—
1256#121—22no—
1257#121—22no—
1258#121—22no—
1259#121—22no—
1260#121—24no—
1261#121—24no—
1262#121—21no—
1263#121—21no—
1264#121—21no—
1265#121—21no—
1266#121—21no—
1267#121—21no—
1268#121—21no—
1269#121—24no—
1270#121—22no—
1271#121—22no—
1272#121—22no—
1273#121—22no—
1274#121—24no—
1275#121—24no—
1276#121—24no—
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#121C2×D412yes—
1291#121C2×D412yes—
1292#121C2×D412yes—
1293#121C2×D412yes—
1294#121C2412yes—
1295#121C2412yes—
1296#121C2412yes—
1297#121C2412yes—
1298#121C2412yes—
1299#121C2414yes—
1300#121C2414yes—
1301#121C2412yes—
1302#121C2412yes—
1303#121C2412yes—
1304#121C2414yes—
1305#121C2414yes—
1306#121C2414yes—
1307#120—22no—
1308#120—22no—
1309#120—24no—
1310#120—24no—
1311#120—24no—
1312#120—24no—
1313#120—24no—
1314#120—24no—
1315#120—24no—
1316#120—24no—
1317#120—24no—
1318#120—24no—
1319C4×Q8—22no—
1320C4×Q8—22no—
1321C4×Q8—24no—
1322C4×Q8—22no—
1323C4×Q8—24no—
1324C4×Q8—22no—
1325C4×Q8—22no—
1326C4×Q8—22no—
1327C4×Q8—24no—
1328C4×Q8—22no—
1329C4×Q8—22no—
1330C4×Q8—22no—
1331C4×Q8—22no—
1332C4×Q8—22no—
1333C4×Q8—22no—
1334C4×Q8—22no—
1335C4×Q8—24no—
1336C4×Q8—21no—
1337C4×Q8—21no—
1338C4×Q8—21no—
1339C4×Q8—21no—
1340C4×Q8—21no—
1341C4×Q8—21no—
1342C4×Q8—21no—
1343C4×Q8—21no—
1344C4×Q8C2×D412yes—
1345C4×Q8C2×D412yes—
1346C4×Q8C2412yes—
1347C4×Q8C2412yes—
1348C4×Q8C2412yes—
1349C4×Q8C2412yes—
1350C4×Q8C2414yes—
1351C4×Q8C2414yes—
1352C4×Q8C2414yes—
1353C4×Q8C2412yes—
1354C4×Q8C2412yes—
1355C4×D4—24no—
1356C4×D4—22no—
1357C4×D4—24no—
1358C4×D4—22no—
1359C4×D4—22no—
1360C4×D4—22no—
1361C4×D4—22no—
1362C4×D4—22no—
1363C4×D4—22no—
1364C4×D4—24no—
1365C4×D4—24no—
1366C4×D4—22no—
1367C4×D4—22no—
1368C4×D4—22no—
1369C4×D4—22no—
1370C4×D4—22no—
1371C4×D4—22no—
1372C4×D4—24no—
1373C4×D4—24no—
1374C4×D4—24no—
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—22no—
1391C4×D4—21no—
1392C4×D4—21no—
1393C4×D4—22no—
1394C4×D4—21no—
1395C4×D4—22no—
1396C4×D4—22no—
1397C4×D4—21no—
1398C4×D4—21no—
1399C4×D4—21no—
1400C4×D4—21no—
1401C4×D4—21no—
1402C4×D4—21no—
1403C4×D4—21no—
1404C4×D4—21no—
1405C4×D4—24no—
1406C4×D4C2×D414yes—
1407C4×D4C2×D412yes—
1408C4×D4C2×D414yes—
1409C4×D4C2×D412yes—
1410C4×D4C2412yes—
1411C4×D4C2412yes—
1412C4×D4C2412yes—
1413C4×D4C2412yes—
1414C4×D4C2412yes—
1415C4×D4C2412yes—
1416C4×D4C2412yes—
1417C4×D4C2412yes—
1418C4×D4C2414yes—
1419C4×D4C2414yes—
1420C4×D4C2414yes—
1421C4×D4C2414yes—
1422C4×D4C2414yes—
1423C4×D4C2414yes—
1424C4×D4C2412yes—
1425C4×D4C2412yes—
1426C4×D4C2414yes—
1427#117—24no—
1428#117—22no—
1429#117—22no—
1430#117—24no—
1431#117—21no—
1432#117—21no—
1433#117—21no—
1434#117—21no—
1435#117—22no—
1436#117—24no—
1437#117—24no—
1438#117—22no—
1439#117—22no—
1440#117—24no—
1441#117—24no—
1442#117—24no—
1443#117—24no—
1444#117—22no—
1445#117—22no—
1446#117—22no—
1447#117—22no—
1448#117—24no—
1449#117—22no—
1450#117—22no—
1451#117—24no—
1452#117C2×D414yes—
1453#117C2×D414yes—
1454#117C2412yes—
1455#117C2414yes—
1456#117C2414yes—
1457#117C2414yes—
1458#117C2414yes—
1459#117C2412yes—
1460#117C2414yes—
1461#117C2414yes—
1462#117C2414yes—
1463C2×C4⋊C4—21no—
1464C2×C4⋊C4—22no—
1465C2×C4⋊C4—22no—
1466C2×C4⋊C4—21no—
1467C2×C4⋊C4—21no—
1468C2×C4⋊C4—22no—
1469C2×C4⋊C4—24no—
1470C2×C4⋊C4—22no—
1471C2×C4⋊C4—22no—
1472C2×C4⋊C4—24no—
1473C2×C4⋊C4C2×D412yes—
1474C2×C4⋊C4C2×D412yes—
1475C2×C4⋊C4C2×D411yescharacteristic
1476C2×C4⋊C4C2×D412yes—
1477C2×C4⋊C4C2×D411yescharacteristic
1478C2×C4⋊C4C2×D412yes—
1479C2×C4⋊C4C2412yes—
1480C2×C4⋊C4C2412yes—
1481C2×C4⋊C4C2414yes—
1482C2×C4⋊C4C2414yes—
1483C2×C4⋊C4C2412yes—
1484C2×C4⋊C4C2414yes—
1485C2×C22⋊C4—22no—
1486C2×C22⋊C4—24no—
1487C2×C22⋊C4—22no—
1488C2×C22⋊C4—22no—
1489C2×C22⋊C4—24no—
1490C2×C22⋊C4—24no—
1491C2×C22⋊C4—24no—
1492C2×C22⋊C4—24no—
1493C2×C22⋊C4—24no—
1494C2×C22⋊C4C2×D412yes—
1495C2×C22⋊C4C2×D412yes—
1496C2×C22⋊C4C2×D412yes—
1497C2×C22⋊C4C2×D412yes—
1498C2×C22⋊C4C2×D412yes—
1499C2×C42—22no—
1500C2×C42—24no—
1501C2×C42—22no—
1502C2×C42—24no—
1503C2×C42—22no—
1504C2×C42C2×D411yescharacteristic
1505C2×C42C2×D411yescharacteristic
1506C2×C42C2×D411yescharacteristic
1507C2×C42C2×D411yescharacteristic
1508C2×C42C2×D411yescharacteristic
1509C2×C42C2×D411yescharacteristic
1510C2×C42C2411yescharacteristic
1511C2×C42C2412yes—
1512C2×C42C2411yescharacteristic
1513C2×C42C2411yescharacteristic
1514C2×C42C2411yescharacteristic
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517#107C2412yes—
1518#107C2414yes—
1519#107C2414yes—
1520#107C2414yes—
1521#107C2412yes—
1522#107C2414yes—
1523#107C2414yes—
1524#107C2414yes—
1525#107C2414yes—
1526#107C2414yes—
1527#107C2414yes—
1528#107C2412yes—
1529#107C2412yes—
1530#107C2414yes—
1531#106C2412yes—
1532#106C2414yes—
1533#106C2414yes—
1534#106C2414yes—
1535#106C2412yes—
1536#106C2414yes—
1537#106C2414yes—
1538#106C2414yes—
1539#106C2414yes—
1540#106C2414yes—
1541#106C2412yes—
1542#106C2414yes—
1543#106C2414yes—
1544#106C2412yes—
1545C4⋊C8C2414yes—
1546C4⋊C8C2412yes—
1547C4⋊C8C2412yes—
1548C4⋊C8C2412yes—
1549C4⋊C8C2412yes—
1550C4⋊C8C2412yes—
1551C4⋊C8C2412yes—
1552C4⋊C8C2414yes—
1553C4⋊C8C2414yes—
1554C4⋊C8C2414yes—
1555C4⋊C8C2414yes—
1556#103C2412yes—
1557#103C2412yes—
1558#103C2414yes—
1559#103C2414yes—
1560#103C2412yes—
1561#103C2414yes—
1562#103C2412yes—
1563#103C2414yes—
1564#103C2412yes—
1565#103C2412yes—
1566#103C2414yes—
1567#103C2412yes—
1568#103C2412yes—
1569#103C2414yes—
1570#102C2412yes—
1571#102C2412yes—
1572#102C2414yes—
1573#102C2414yes—
1574#102C2414yes—
1575#102C2414yes—
1576#102C2414yes—
1577#102C2414yes—
1578#102C2414yes—
1579#102C2414yes—
1580#102C2414yes—
1581#102C2414yes—
1582#102C2414yes—
1583#102C2414yes—
1584#102C2414yes—
1585#102C2414yes—
1586#102C2414yes—
1587#102C2412yes—
1588#102C2414yes—
1589#102C2412yes—
1590#102C2412yes—
1591#102C2412yes—
1592#102C2414yes—
1593#102C2412yes—
1594#102C2414yes—
1595#102C2412yes—
1596C22⋊C8C2412yes—
1597C22⋊C8C2414yes—
1598C22⋊C8C2414yes—
1599C22⋊C8C2414yes—
1600C22⋊C8C2412yes—
1601C22⋊C8C2411yescharacteristic
1602C22⋊C8C2411yescharacteristic
1603C22⋊C8C2412yes—
1604C22⋊C8C2412yes—
1605C22⋊C8C2411yescharacteristic
1606C22⋊C8C2411yescharacteristic
1607C22⋊C8C2414yes—
1608C22⋊C8C2414yes—
1609#97C2412yes—
1610#97C2412yes—
1611#97C2414yes—
1612#97C2414yes—
1613#97C2414yes—
1614C4×C8C2412yes—
1615C4×C8C2412yes—
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—82no—
1635#41—82no—
1636#41—84no—
1637#41—84no—
1638#41—84no—
1639#41—82no—
1640#41—82no—
1641#41—88no—
1642#41—84no—
1643#41—88no—
1644#41—84no—
1645#41—84no—
1646#41—84no—
1647C2×Q8—22no—
1648C2×Q8—21no—
1649C2×Q8—21no—
1650C2×Q8—21no—
1651C2×Q8—21no—
1652C2×Q8—22no—
1653C2×Q8—24no—
1654C2×Q8—22no—
1655C2×Q8—22no—
1656C2×Q8—24no—
1657C2×Q8—21no—
1658C2×Q8—21no—
1659C2×Q8—24no—
1660C2×Q8—22no—
1661C2×Q8—42no—
1662C2×Q8—82no—
1663C2×Q8—82no—
1664C2×Q8—82no—
1665C2×Q8—84no—
1666C2×Q8—84no—
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—44no—
1706C2×D4—82no—
1707C2×D4—84no—
1708C2×D4—82no—
1709C2×D4—84no—
1710C2×D4—82no—
1711C2×D4—88no—
1712C2×D4—84no—
1713C2×D4—88no—
1714C2×D4C22×D412yes—
1715C2×D4C22×D414yes—
1716C2×D4C22×D414yes—
1717C2×D4C22×D412yes—
1718C2×D4C2512yes—
1719C2×D4C2512yes—
1720C2×D4C2512yes—
1721C2×D4C2512yes—
1722C22×C4—22no—
1723C22×C4—22no—
1724C22×C4—24no—
1725C22×C4—24no—
1726C22×C4—22no—
1727C22×C4—24no—
1728C22×C4—22no—
1729C22×C4—22no—
1730C22×C4—22no—
1731C22×C4—22no—
1732C22×C4—22no—
1733C22×C4—22no—
1734C22×C4—22no—
1735C22×C4—22no—
1736C22×C4—24no—
1737C22×C4—24no—
1738C22×C4—22no—
1739C22×C4—24no—
1740C22×C4—24no—
1741C22×C4—24no—
1742C22×C4—24no—
1743C22×C4—22no—
1744C22×C4—42no—
1745C22×C4—44no—
1746C22×C4—42no—
1747C22×C4—81no—
1748C22×C4—84no—
1749C22×C4C22×D411yescharacteristic
1750C22×C4C22×D411yescharacteristic
1751C22×C4C22×D411yescharacteristic
1752C22×C4C22×D411yescharacteristic
1753C22×C4C22×D414yes—
1754C22×C4C22×D411yescharacteristic
1755C22×C4C22×D411yescharacteristic
1756C22×C4C22×D411yescharacteristic
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×D412yes—
1766C22×C4C22×D412yes—
1767C22×C4C22×D412yes—
1768C22×C4C2511yescharacteristic
1769C22×C4C2511yescharacteristic
1770C22×C4C2511yescharacteristic
1771C22×C4C2514yes—
1772Q16—42no—
1773Q16—42no—
1774SD16—42no—
1775SD16—42no—
1776SD16—44no—
1777SD16—44no—
1778SD16—42no—
1779SD16—42no—
1780D8—42no—
1781D8—44no—
1782D8—44no—
1783D8—42no—
1784M16—42no—
1785M16—44no—
1786M16—44no—
1787M16—44no—
1788M16—42no—
1789C2×C8—44no—
1790C2×C8—44no—
1791C2×C8C2512yes—
1792C2×C8C2512yes—
1793C2×C8C2514yes—
1794C2×C8C2514yes—
1795C2×C8C2512yes—
1796C2×C8C2512yes—
1797C4⋊C4—21no—
1798C4⋊C4—21no—
1799C4⋊C4—22no—
1800C4⋊C4—22no—
1801C4⋊C4—24no—
1802C4⋊C4—24no—
1803C4⋊C4—21no—
1804C4⋊C4—22no—
1805C4⋊C4—21no—
1806C4⋊C4—24no—
1807C4⋊C4—24no—
1808C4⋊C4—24no—
1809C4⋊C4—24no—
1810C4⋊C4—24no—
1811C4⋊C4—24no—
1812C4⋊C4—24no—
1813C4⋊C4—24no—
1814C4⋊C4—22no—
1815C4⋊C4—24no—
1816C4⋊C4—22no—
1817C4⋊C4—22no—
1818C4⋊C4—24no—
1819C4⋊C4—24no—
1820C4⋊C4—22no—
1821C4⋊C4—22no—
1822C4⋊C4—22no—
1823C4⋊C4—22no—
1824C4⋊C4—22no—
1825C4⋊C4—24no—
1826C4⋊C4—24no—
1827C4⋊C4—22no—
1828C4⋊C4—22no—
1829C4⋊C4—22no—
1830C4⋊C4—21no—
1831C4⋊C4—24no—
1832C4⋊C4—21no—
1833C4⋊C4—21no—
1834C4⋊C4—21no—
1835C4⋊C4—21no—
1836C4⋊C4—21no—
1837C4⋊C4—22no—
1838C4⋊C4—24no—
1839C4⋊C4—24no—
1840C4⋊C4—22no—
1841C4⋊C4—24no—
1842C4⋊C4—24no—
1843C4⋊C4—22no—
1844C4⋊C4—22no—
1845C4⋊C4—24no—
1846C4⋊C4—22no—
1847C4⋊C4—24no—
1848C4⋊C4—22no—
1849C4⋊C4C22×D412yes—
1850C4⋊C4C22×D412yes—
1851C4⋊C4C22×D414yes—
1852C4⋊C4C22×D412yes—
1853C4⋊C4C22×D414yes—
1854C4⋊C4C22×D414yes—
1855C4⋊C4C22×D412yes—
1856C4⋊C4C22×D414yes—
1857C4⋊C4C22×D414yes—
1858C4⋊C4C22×D414yes—
1859C4⋊C4C22×D414yes—
1860C4⋊C4C22×D414yes—
1861C4⋊C4C2512yes—
1862C4⋊C4C2514yes—
1863C4⋊C4C2512yes—
1864C4⋊C4C2514yes—
1865C4⋊C4C2512yes—
1866C4⋊C4C2512yes—
1867C4⋊C4C2512yes—
1868C4⋊C4C2512yes—
1869C22⋊C4—24no—
1870C22⋊C4—22no—
1871C22⋊C4—22no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—22no—
1878C22⋊C4—22no—
1879C22⋊C4—22no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—22no—
1883C22⋊C4—22no—
1884C22⋊C4—22no—
1885C22⋊C4—22no—
1886C22⋊C4—22no—
1887C22⋊C4—22no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
1890C22⋊C4—22no—
1891C22⋊C4—22no—
1892C22⋊C4—22no—
1893C22⋊C4—24no—
1894C22⋊C4—22no—
1895C22⋊C4—24no—
1896C22⋊C4—24no—
1897C22⋊C4—22no—
1898C22⋊C4—22no—
1899C22⋊C4—24no—
1900C22⋊C4—22no—
1901C22⋊C4—22no—
1902C22⋊C4—22no—
1903C22⋊C4—24no—
1904C22⋊C4—22no—
1905C22⋊C4—22no—
1906C22⋊C4—24no—
1907C22⋊C4—24no—
1908C22⋊C4—22no—
1909C22⋊C4—22no—
1910C22⋊C4—24no—
1911C22⋊C4—24no—
1912C22⋊C4—22no—
1913C22⋊C4—24no—
1914C22⋊C4—22no—
1915C22⋊C4C22×D414yes—
1916C22⋊C4C22×D414yes—
1917C22⋊C4C22×D414yes—
1918C22⋊C4C22×D414yes—
1919C22⋊C4C22×D414yes—
1920C22⋊C4C22×D414yes—
1921C22⋊C4C22×D414yes—
1922C22⋊C4C22×D414yes—
1923C22⋊C4C22×D414yes—
1924C22⋊C4C22×D414yes—
1925C42—24no—
1926C42—22no—
1927C42—24no—
1928C42—22no—
1929C42—22no—
1930C42—22no—
1931C42—24no—
1932C42—22no—
1933C42—22no—
1934C42—24no—
1935C42—24no—
1936C42—24no—
1937C42—24no—
1938C42—24no—
1939C42C22×D411yescharacteristic
1940C42C22×D411yescharacteristic
1941C42C22×D414yes—
1942C42C22×D411yescharacteristic
1943C42C22×D411yescharacteristic
1944C42C22×D411yescharacteristic
1945C42C22×D411yescharacteristic
1946C42C22×D411yescharacteristic
1947C42C22×D411yescharacteristic
1948C42C22×D411yescharacteristic
1949C42C22×D411yescharacteristic
1950C42C22×D411yescharacteristic
1951C42C22×D411yescharacteristic
1952C42C2511yescharacteristic
1953C42C2511yescharacteristic
1954C42C2514yes—
1955C42C2511yescharacteristic
1956C42C2511yescharacteristic
1957C23—22no—
1958C23—22no—
1959C23—22no—
1960C23—22no—
1961C23—41no—
1962C23—41no—
1963C23—41no—
1964C23—42no—
1965C23—42no—
1966C23—42no—
1967C23—44no—
1968C23—82no—
1969C23—82no—
1970C23—84no—
1971C23—84no—
1972C23—84no—
1973C23C23×D411yescharacteristic
1974C23C23×D411yescharacteristic
1975C23C23×D414yes—
1976C23C23×D411yescharacteristic
1977Q8—24no—
1978Q8—22no—
1979Q8—22no—
1980Q8—22no—
1981Q8—22no—
1982Q8—42no—
1983Q8—42no—
1984Q8—42no—
1985Q8—44no—
1986Q8—42no—
1987Q8—82no—
1988Q8—84no—
1989Q8—82no—
1990Q8—82no—
1991Q8—84no—
1992Q8—82no—
1993Q8—81no—
1994Q8—81no—
1995Q8—81no—
1996Q8—84no—
1997D4—24no—
1998D4—22no—
1999D4—22no—
2000D4—24no—
2001D4—22no—
2002D4—22no—
2003D4—24no—
2004D4—42no—
2005D4—44no—
2006D4—44no—
2007D4—42no—
2008D4—44no—
2009D4—44no—
2010D4—44no—
2011D4—44no—
2012D4—44no—
2013D4—44no—
2014D4—42no—
2015D4—42no—
2016D4—84no—
2017D4—82no—
2018D4—82no—
2019D4—81no—
2020D4—81no—
2021D4—84no—
2022D4—82no—
2023D4—81no—
2024D4—81no—
2025D4—81no—
2026D4—84no—
2027D4—84no—
2028D4—84no—
2029D4—84no—
2030D4—82no—
2031D4—82no—
2032D4—82no—
2033D4—84no—
2034D4—82no—
2035D4—84no—
2036D4—84no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—24no—
2041C2×C4—24no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—24no—
2050C2×C4—24no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—41no—
2056C2×C4—41no—
2057C2×C4—44no—
2058C2×C4—41no—
2059C2×C4—41no—
2060C2×C4—42no—
2061C2×C4—41no—
2062C2×C4—41no—
2063C2×C4—41no—
2064C2×C4—41no—
2065C2×C4—41no—
2066C2×C4—41no—
2067C2×C4—41no—
2068C2×C4—41no—
2069C2×C4—42no—
2070C2×C4—42no—
2071C2×C4—44no—
2072C2×C4—44no—
2073C2×C4—44no—
2074C2×C4—44no—
2075C2×C4—44no—
2076C2×C4—44no—
2077C2×C4—82no—
2078C2×C4—82no—
2079C2×C4—84no—
2080C2×C4—84no—
2081C2×C4—84no—
2082C2×C4—84no—
2083C2×C4—82no—
2084C2×C4—84no—
2085C2×C4—82no—
2086C2×C4—82no—
2087C2×C4—84no—
2088C2×C4—82no—
2089C2×C4—84no—
2090C2×C4—82no—
2091C2×C4—84no—
2092C2×C4—84no—
2093C2×C4C23×D411yescharacteristic
2094C2×C4C23×D411yescharacteristic
2095C2×C4C23×D414yes—
2096C2×C4C23×D411yescharacteristic
2097C2×C4C23×D411yescharacteristic
2098C2×C4C23×D411yescharacteristic
2099C2×C4C23×D414yes—
2100C2×C4C23×D414yes—
2101C2×C4C23×D411yescharacteristic
2102C2×C4C23×D411yescharacteristic
2103C2×C4C23×D411yescharacteristic
2104C2×C4C23×D411yescharacteristic
2105C2×C4C23×D411yescharacteristic
2106C2×C4C23×D411yescharacteristic
2107C2×C4C2611yescharacteristic
2108C8—22no—
2109C8—22no—
2110C8—24no—
2111C8—24no—
2112C8—22no—
2113C8—22no—
2114C22—21no—
2115C22—21no—
2116C22—21no—
2117C22—24no—
2118C22—21no—
2119C22—21no—
2120C22—21no—
2121C22—24no—
2122C22—21no—
2123C22—21no—
2124C22—24no—
2125C22—21no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—42no—
2133C22—42no—
2134C22—42no—
2135C22—42no—
2136C22—42no—
2137C22—42no—
2138C22—82no—
2139C22—162no—
2140C22—164no—
2141C22—324no—
2142C22C24×D411yescharacteristic
2143C4—21no—
2144C4—21no—
2145C4—21no—
2146C4—24no—
2147C4—21no—
2148C4—21no—
2149C4—21no—
2150C4—21no—
2151C4—24no—
2152C4—21no—
2153C4—21no—
2154C4—24no—
2155C4—21no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—44no—
2161C4—44no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C4—42no—
2166C4#358512yes—
2167C42−1+612yes—
2168C2—41no—
2169C2—41no—
2170C2—41no—
2171C2—44no—
2172C2—82no—
2173C2—82no—
2174C2—82no—
2175C2—82no—
2176C2#6285911yescharacteristic
2177C2C2×#358511yescharacteristic
2178C2#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. #62610C2semidirect
4. #62608C2semidirect
5. #62575C2semidirect
6. #62573C2semidirect
7. #62522C2semidirect
8. #62520C2semidirect
9. #62501C2semidirect
10. #62500C2semidirect
11. #62224C2semidirect
12. #62223C2semidirect
13. #62186C2semidirect
14. #62185C2semidirect
15. #62180C2semidirect
16. #62179C2semidirect
17. #61845C2semidirect
18. #61840C2semidirect
19. #61743C2semidirect
20. #61733C2semidirect
21. #61725C2semidirect
22. #61714C2semidirect
23. #60986C2semidirect
24. #60965C2semidirect
25. #60953C2semidirect
26. #60875C2semidirect
27. #60864C2semidirect
28. #60863C2semidirect
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. #3389C22semidirect
82. #3388C22semidirect
83. #3387C22semidirect
84. #3386C22semidirect
85. #3386C22semidirect
86. #3386C22semidirect
87. #3384C22semidirect
88. #3384C22semidirect
89. #3383C22semidirect
90. #3381C22semidirect
91. Q8×SD16C22semidirect
92. Q8×D8C22semidirect
93. #3377C22semidirect
94. #3376C22semidirect
95. #3375C22semidirect
96. #3373C22semidirect
97. #3368C22semidirect
98. #3368C22semidirect
99. #3366C22semidirect
100. #3366C22semidirect
101. #3365C22semidirect
102. #3362C22semidirect
103. #3361C22semidirect
104. #3358C22semidirect
105. #3357C22semidirect
106. #3357C22semidirect
107. #3356C22semidirect
108. #3356C22semidirect
109. #3355C22semidirect
110. #3355C22semidirect
111. #3354C22semidirect
112. #3354C22semidirect
113. #3353C22semidirect
114. #3353C22semidirect
115. #3351C22semidirect
116. #3351C22semidirect
117. #3350C22semidirect
118. #3348C22semidirect
119. #3348C22semidirect
120. #3347C22semidirect
121. #3347C22semidirect
122. #3347C22semidirect
123. #3346C22semidirect
124. #3346C22semidirect
125. #3345C22semidirect
126. #3345C22semidirect
127. #3344C22semidirect
128. #3343C22semidirect
129. #3342C22semidirect
130. #3340C22semidirect
131. #3335C22semidirect
132. #3334C22semidirect
133. #3333C22semidirect
134. #3333C22semidirect
135. #3332C22semidirect
136. #3332C22semidirect
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. #3315C22semidirect
150. #3314C22semidirect
151. #3311C22semidirect
152. #3310C22semidirect
153. #3310C22semidirect
154. #3309C22semidirect
155. #3307C22semidirect
156. #3306C22semidirect
157. #3305C22semidirect
158. #3304C22semidirect
159. #3295C22semidirect
160. #3294C22semidirect
161. #3263C22semidirect
162. #3262C22semidirect
163. #3257C22semidirect
164. #3257C22semidirect
165. #3252C22semidirect
166. #3251C22semidirect
167. #3251C22semidirect
168. #3251C22semidirect
169. #3244C22semidirect
170. #3244C22semidirect
171. #3243C22semidirect
172. #3243C22semidirect
173. #3242C22semidirect
174. #3241C22semidirect
175. #3241C22semidirect
176. #3241C22semidirect
177. #3241C22semidirect
178. #3241C22semidirect
179. #3240C22semidirect
180. #3240C22semidirect
181. #3237C22semidirect
182. #3237C22semidirect
183. #3237C22semidirect
184. #3235C22semidirect
185. #3235C22semidirect
186. #3235C22semidirect
187. #3235C22semidirect
188. #3235C22semidirect
189. #3234C22semidirect
190. #3234C22semidirect
191. #3233C22semidirect
192. #3233C22semidirect
193. #3233C22semidirect
194. #3233C22semidirect
195. #3229C22semidirect
197. #3228C22semidirect
198. #3228C22semidirect
199. #3228C22semidirect
200. #3227C22semidirect
201. #3227C22semidirect
202. #3226C22semidirect
203. #3226C22semidirect
204. #3226C22semidirect
205. #3222C22semidirect
206. #3220C22semidirect
207. #3219C22semidirect
208. #3216C22semidirect
209. #3214C22semidirect
210. #3208C22semidirect
211. #3207C22semidirect
212. #3205C22semidirect
213. #3197C22semidirect
214. #3197C22semidirect
215. #3197C22semidirect
216. #3194C22semidirect
217. #3194C22semidirect
218. #3191C22semidirect
219. #3188C22semidirect
220. #3184C22semidirect
221. #3182C22semidirect
222. #3179C22semidirect
223. #3178C22semidirect
224. #3176C22semidirect
225. #3174C22semidirect
226. #3172C22semidirect
227. #3171C22semidirect
228. #3166C22semidirect
229. #3165C22semidirect
230. #3164C22semidirect
231. #3163C22semidirect
232. #3142C22semidirect
233. #3138C22semidirect
234. #3136C22semidirect
235. #3136C22semidirect
236. #3125C22semidirect
237. #3124C22semidirect
238. #3118C22semidirect
239. #3118C22semidirect
241. #3115C22semidirect
242. #3115C22semidirect
243. #3114C22semidirect
244. #3111C22semidirect
245. #3107C22semidirect
246. #3106C22semidirect
247. #3106C22semidirect
248. #3102C22semidirect
249. #3102C22semidirect
250. #3102C22semidirect
251. #3094C22semidirect
252. #3094C22semidirect
253. #3094C22semidirect
254. #3093C22semidirect
255. #3093C22semidirect
256. #3091C22semidirect
257. C2×#482C22semidirect
258. #3084C22semidirect
259. #3083C22semidirect
260. #3081C22semidirect
261. #3081C22semidirect
262. #3079C22semidirect
263. #3079C22semidirect
264. #3077C22semidirect
265. #2995C22semidirect
266. #2993C22semidirect
267. #2993C22semidirect
268. #2984C22semidirect
269. #2975C22semidirect
270. #2974C22semidirect
271. #2973C22semidirect
272. #2969C22semidirect
273. #2969C22semidirect
274. #2967C22semidirect
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
#626102
#626082
#625752
#625732
#625222
#625202
#625012
#625002
#622242
#622232
#621862
#621852
#621802
#621792
#618452
#618402
#617432
#617332
#617252
#617142
#609862
#609652
#609532
#608752
#608642
#608632
#602892