Finite Group Databasebeta

← #10579598

Subgroups — #10579598

Order 512.

6334 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62833C211yesmaximal, characteristic, complemented
2#62800C211yesmaximal, characteristic, complemented
3#62206C214yesmaximal, complemented
4#62200C214yesmaximal, complemented
5#62186C214yesmaximal, complemented
6#62180C214yesmaximal, complemented
7#62149C212yesmaximal, complemented
8#62143C212yesmaximal, complemented
9#62136C212yesmaximal, complemented
10#62127C212yesmaximal, complemented
11#62111C212yesmaximal, complemented
12#62109C212yesmaximal, complemented
13#62101C212yesmaximal, complemented
14#62095C212yesmaximal, complemented
15#61373C212yesmaximal, complemented
16#61329C212yesmaximal, complemented
17#61287C212yesmaximal, complemented
18#61270C214yesmaximal, complemented
19#61215C212yesmaximal, complemented
20#61191C214yesmaximal, complemented
21#60928C212yesmaximal, complemented
22#60916C211yesmaximal, characteristic, complemented
23#60888C212yesmaximal, complemented
24C2×#3226C211yesmaximal, characteristic, complemented
25#60596C212yesmaximal, complemented
26#60536C211yesmaximal, characteristic, complemented
27#60494C212yesmaximal, complemented
28C2×#3079C211yesmaximal, characteristic, complemented
29#60268C211yesmaximal, characteristic, complemented
30#3552—22no—
31#3552—22no—
32#3552—22no—
33#3552C2214yescomplemented
34#3544—22no—
35#3544C2214yescomplemented
36#3522C2212yes—
37#3519—22no—
38#3519C2212yes—
39#3517C2212yes—
40#3514—22no—
41#3514C2212yes—
42#3511—21no—
43#3511—21no—
44#3511C2211yescharacteristic
45#3511C2212yescomplemented
46#3511C2212yescomplemented
47#3511C2212yescomplemented
48#3509—21no—
49#3509C2212yescomplemented
50#3508—21no—
51#3508C2211yescharacteristic
52#3503—21no—
53#3503C2211yescharacteristic
54#3503C2212yescomplemented
55#3503C2212yescomplemented
56#3503C2212yescomplemented
57#3499—21no—
58#3499C2212yescomplemented
59#3498C2211yescharacteristic
60#3494—22no—
61#3494C2212yes—
62#3492—22no—
63#3492C2214yescomplemented
64#3488C2212yes—
65#3486—22no—
66#3483C2212yes—
67#3481—22no—
68#3481C2212yes—
69#3480C2212yes—
70D4×#41—22no—
71D4×#41C2212yes—
72#3460—22no—
73#3460C2212yes—
74#3444—21no—
75#3444C2211yescharacteristic
76#3444C2211yescharacteristic, complemented
77C2×#532—21no—
78C2×#532C2211yescharacteristic
79C22×C4⋊Q8C2211yescharacteristic, complemented
80C4×H(5,𝔽2)C2212yes—
81C2×C4×#41C2211yescharacteristic
82#3386C2214yescomplemented
83#3386C2214yescomplemented
84#3385C2214yescomplemented
85#3385C2214yescomplemented
86#3383C2214yescomplemented
87Q8×Q16C2214yescomplemented
88#3380C2214yescomplemented
89Q8×D8C2214yescomplemented
90#3375C2214yescomplemented
91#3373C2214yescomplemented
92#3368C2214yescomplemented
93#3366C2214yescomplemented
94#3365C2214yescomplemented
95#3362C2214yescomplemented
96#3361C2214yescomplemented
97#3358C2214yescomplemented
98#3357C2218yescomplemented
99#3357C2214yescomplemented
100#3357C2214yescomplemented
101#3355C2218yescomplemented
102#3353C2214yescomplemented
103#3353C2214yescomplemented
104#3347C2218yescomplemented
105#3346C2218yescomplemented
106#3345C2218yescomplemented
107#3343C2218yescomplemented
108#3342C2214yescomplemented
109#3341C2214yescomplemented
110#3338C2214yescomplemented
111#3337C2218yescomplemented
112#3334C2218yescomplemented
113#3334C2214yescomplemented
114#3333C2218yescomplemented
115#3333C2214yescomplemented
116#3332C2214yescomplemented
117#3325C2214yescomplemented
118#3324C2214yescomplemented
119#3322C2218yescomplemented
120#3314C2218yescomplemented
121#3310C2218yescomplemented
122#3309C2218yescomplemented
123#3308C2218yescomplemented
124#3305C2214yescomplemented
125#3304C2214yescomplemented
126#3300C2218yescomplemented
127#3295C2214yescomplemented
128#3294C2218yescomplemented
129#3294C2214yescomplemented
130#3262C2218yescomplemented
131#3257C2218yescomplemented
132#3254C2214yescomplemented
133#3254C2212yescomplemented
134#3253C2212yescomplemented
135#3251C2214yescomplemented
136#3251C2214yescomplemented
137#3248C2214yescomplemented
138#3247C2214yescomplemented
139#3246C2212yescomplemented
140#3245C2214yescomplemented
141#3245C2212yescomplemented
142#3243C2218yescomplemented
143#3241C2218yescomplemented
144#3239C2214yescomplemented
145#3235C2214yescomplemented
146#3233C2214yescomplemented
147#3226C2212yescomplemented
148#3226C2214yescomplemented
149#3226C2212yescomplemented
150#3226C2212yescomplemented
151#3226C2212yescomplemented
152#3226C2214yescomplemented
153#3226C2214yescomplemented
154#3164C2214yescomplemented
155C2×#500C2212yescomplemented
156#3136C2214yescomplemented
157C2×#486C2212yescomplemented
158#3124C2218yescomplemented
159#3118C2218yescomplemented
160#3115C2214yescomplemented
161#3110C2214yescomplemented
162#3108C2212yescomplemented
163#3107C2211yescharacteristic, complemented
164#3107C2211yescharacteristic, complemented
165#3107C2214yescomplemented
166#3106C2211yescharacteristic, complemented
167#3106C2211yescharacteristic, complemented
168#3105C2212yescomplemented
169#3104C2211yescharacteristic, complemented
170#3103C2211yescharacteristic, complemented
171#3102C2212yescomplemented
172#3102C2212yescomplemented
173#3101C2211yescharacteristic, complemented
174#3100C2211yescharacteristic, complemented
175#3100C2214yescomplemented
176#3098C2214yescomplemented
177#3098C2214yescomplemented
178#3096C2214yescomplemented
179#3091C2212yescomplemented
180C2×#480C2214yescomplemented
181#3083C2214yes—
182#3083C2214yescomplemented
183#3083C2218yescomplemented
184#3081C2214yescomplemented
185#3081C2218yescomplemented
186#3079C2212yes—
187#3079C2212yes—
188#3079C2212yescomplemented
189#3079C2212yescomplemented
190#3079C2212yescomplemented
191#3079C2212yescomplemented
192#3079C2212yescomplemented
193#3079C2212yescomplemented
194#3079C2214yescomplemented
195#3079C2212yescomplemented
196#3077C2214yescomplemented
197#3077C2212yescomplemented
198#3076C2211yescharacteristic
199#3076C2214yescomplemented
200#3076C2211yescharacteristic, complemented
201C2×#477C2212yescomplemented
202C2×#475C2212yescomplemented
203C2×#476C2212yescomplemented
204C2×#474C2212yescomplemented
205C2×#474C2212yescomplemented
206C2×#474C2214yescomplemented
207C2×#474C2212yescomplemented
208#3062C2214yescomplemented
209#3061C2214yescomplemented
210#3055C2214yescomplemented
211#3045C2214yescomplemented
212#3038C2212yescomplemented
213#3036C2212yescomplemented
214#3035C2211yescharacteristic
215#3035C2211yescharacteristic, complemented
216#3012C2214yes—
217#3002C2212yes—
218#2994C2214yescomplemented
219#2993C2214yescomplemented
220#2991C2212yescomplemented
221#2990C2212yescomplemented
222#2989C2212yescomplemented
223#2988C2212yescomplemented
224#2960C2212yescomplemented
225#2951C2214yes—
226#2946C2214yescomplemented
227C4×#135C2212yes—
228C4×#135C2212yescomplemented
229#2933C2214yescomplemented
230#2931C2212yescomplemented
231#2925C2212yescomplemented
232C2×#431C2211yescharacteristic, complemented
233#2913C2214yescomplemented
234C2×#428C2212yescomplemented
235#2906C2212yescomplemented
236C2×#423C2211yescharacteristic, complemented
237#2897C2214yes—
238C2×#417C2212yes—
239C2×2−1+4—22no—
240C2×H(5,𝔽2)C2312yes—
241C22×#41—22no—
242C22×#41—21no—
243C22×#41C2311yescharacteristic
244C23×Q8—21no—
245C2×AGL(1,ℤ/8)C2314yes—
246C2×#135C2312yes—
247C2×#135C2312yes—
248C2×#131C2314yes—
249C22×M16C2312yes—
250#563—28no—
251#563—28no—
252#559—22no—
253#559—22no—
254#559C2312yes—
255#559C2312yes—
256Q82—22no—
257Q82C2314yes—
258Q82C2312yes—
259#557—22no—
260#557—22no—
261#557—22no—
262#557C2314yes—
263#557C2312yes—
264#556—22no—
265#556—22no—
266#556—22no—
267#556—22no—
268#556C2312yes—
269#556C2314yes—
270#555—22no—
271#555—24no—
272#555—22no—
273#555C2312yes—
274#555C2314yes—
275#555C2314yes—
276#554—22no—
277#554—22no—
278#554—24no—
279#554—24no—
280#554—22no—
281#554—24no—
282#554—22no—
283#554C2314yes—
284#554C2312yes—
285#554C2314yes—
286#554C2318yes—
287#554C2312yes—
288#553—24no—
289#553—22no—
290#553—22no—
291#553—24no—
292#553—24no—
293#553—24no—
294#553—24no—
295#553—22no—
296#553C2314yes—
297#553C2314yes—
298#553C2318yes—
299#552—24no—
300#552—24no—
301#552—24no—
302#552C2318yes—
303#551—24no—
304#551—24no—
305#551—24no—
306#550—22no—
307#550—22no—
308#550C2312yes—
309#550C2314yes—
310#550C2312yes—
311#550C2312yes—
312#550C2312yes—
313D4×Q8—22no—
314D4×Q8—24no—
315D4×Q8—24no—
316D4×Q8—22no—
317D4×Q8—24no—
318D4×Q8—24no—
319D4×Q8—22no—
320D4×Q8—22no—
321D4×Q8C2314yes—
322D4×Q8C2312yes—
323#548—22no—
324#548—22no—
325#548—24no—
326#548—24no—
327#548—22no—
328#548—24no—
329#548—24no—
330#548C2314yes—
331#547—24no—
332#547—22no—
333#547—24no—
334#547—24no—
335#547—24no—
336#547—22no—
337#547—22no—
338#547—22no—
339#547C2314yes—
340#547C2314yes—
341#547C2312yes—
342#547C2318yes—
343#546—22no—
344#546—22no—
345#546—24no—
346#546—24no—
347#546—22no—
348#546—22no—
349#546—22no—
350#546—24no—
351#546—24no—
352#546—22no—
353#546C2314yes—
354D42—22no—
355D42—22no—
356D42—24no—
357D42C2314yes—
358D42C2312yes—
359D42C2312yes—
360#544—22no—
361#544—24no—
362#544—24no—
363#544—22no—
364#544—24no—
365#544C2314yes—
366#544C2318yes—
367#544C2312yes—
368#542—24no—
369#542—22no—
370#542—24no—
371#542—24no—
372#542—22no—
373#542—22no—
374#542—24no—
375#542C2318yes—
376#542C2314yes—
377#541—24no—
378#541—24no—
379#540—22no—
380#540—24no—
381#540—22no—
382#540—22no—
383#540C2314yes—
384#539—28no—
385#539—28no—
386#538—24no—
387#538—24no—
388#538—24no—
389#537—22no—
390#537—22no—
391#537C2312yes—
392#537C2314yes—
393#536—22no—
394#536—24no—
395#536—28no—
396#536—22no—
397#536—24no—
398#535—22no—
399#535—22no—
400#535C2312yes—
401#535C2312yes—
402#533—21no—
403#533—21no—
404#533—22no—
405#533—22no—
406#533D411yescharacteristic
407#533D411yescharacteristic
408#533C2311yescharacteristic
409#533C2311yescharacteristic
410#533C2314yes—
411#533C2311yescharacteristic
412#533C2314yes—
413#533C2311yescharacteristic
414#532—22no—
415#532—21no—
416#532—21no—
417#532—21no—
418#532—21no—
419#532—22no—
420#532—22no—
421#532—22no—
422#532—22no—
423#532—22no—
424#532—22no—
425#532—24no—
426#532—21no—
427#532—21no—
428#532—21no—
429#532—21no—
430#532D411yescharacteristic
431#532D411yescharacteristic
432#532C2311yescharacteristic
433#532C2311yescharacteristic
434#532C2314yes—
435#532C2311yescharacteristic
436#532C2312yes—
437#532C2312yes—
438#532C2312yes—
439#532C2312yes—
440#532C2314yes—
441#532C2311yescharacteristic
442C2×C4⋊Q8—21no—
443C2×C4⋊Q8—22no—
444C2×C4⋊Q8—21no—
445C2×C4⋊Q8—21no—
446C2×C4⋊Q8—21no—
447C2×C4⋊Q8—21no—
448C2×C4⋊Q8—21no—
449C2×C4⋊Q8—21no—
450C2×C4⋊Q8C2312yes—
451C2×C4⋊Q8C2312yes—
452C2×C4⋊Q8C2312yes—
453C2×C4⋊Q8C2312yes—
454C2×C4⋊Q8C2311yescharacteristic
455C2×C4⋊Q8C2312yes—
456C2×C4⋊Q8C2312yes—
457C2×C4⋊Q8C2314yes—
458C2×#127—21no—
459C2×#127C2311yescharacteristic
460#529—22no—
461#529—22no—
462#529—22no—
463#529—22no—
464#529—22no—
465#529—22no—
466#529—24no—
467#529—21no—
468#529—21no—
469#529—21no—
470#529—21no—
471#529D412yes—
472#529D412yes—
473#529D412yes—
474#529D412yes—
475#529C2312yes—
476#529C2312yes—
477#529C2314yes—
478#529C2312yes—
479#529C2312yes—
480C2×#124—22no—
481C2×#124—21no—
482#525—21no—
483#525—21no—
484#525—22no—
485#525—22no—
486#525—28no—
487#525—24no—
488#525—24no—
489#525—22no—
490#525—24no—
491#525D412yes—
492#525D412yes—
493#525C2312yes—
494#525C2312yes—
495C2×#121—21no—
496C2×#121—22no—
497C2×#121—22no—
498C2×#121C2312yes—
499#520—22no—
500#520—22no—
501#520—22no—
502#520C2312yes—
503#520C2314yes—
504#520C2314yes—
505#520C2314yes—
506#520C2312yes—
507#519—22no—
508#518—22no—
509#518—24no—
510#518C2314yes—
511#518C2312yes—
512C4×#41—22no—
513C4×#41—22no—
514C4×#41—22no—
515C4×#41—21no—
516C4×#41—21no—
517C4×#41—21no—
518C4×#41—21no—
519C4×#41—21no—
520C4×#41—21no—
521C4×#41C2311yescharacteristic
522C4×#41C2311yescharacteristic
523C4×#41C2314yes—
524C4×#41C2311yescharacteristic
525C4×#41C2311yescharacteristic
526C4×#41C2311yescharacteristic
527C4×#41C2311yescharacteristic
528C4×#41C2311yescharacteristic
529C4×#41C2311yescharacteristic
530C4×#41C2312yes—
531C4×#41C2312yes—
532C4×#41C2312yes—
533C4×#41C2312yes—
534C2×C4×Q8C2311yescharacteristic
535C2×C4×Q8C2311yescharacteristic
536C2×C4×D4—21no—
537C2×C4×D4—21no—
538C2×C4×D4—22no—
539C2×C4×D4—24no—
540C2×C4×D4—22no—
541C2×C4×D4—21no—
542C2×C4×D4C2314yes—
543C2×C4×D4C2312yes—
544C2×C4×D4C2311yescharacteristic
545C2×C4×D4C2311yescharacteristic
546C2×#117—21no—
547C2×#117C2311yescharacteristic
548C22×C4⋊C4—21no—
549C22×C4⋊C4C2312yes—
550C22×C42—21no—
551C22×C42C2311yescharacteristic
552#501C2318yes—
553#501C2318yes—
554#500C2314yes—
555#500C2318yes—
556#500C2314yes—
557#500C2314yes—
558#500C2314yes—
559#499C2318yes—
560#490C2318yes—
561#489C2318yes—
562#488C2318yes—
563#486C2314yes—
564#486C2318yes—
565#486C2314yes—
566#486C2314yes—
567#486C2314yes—
568#485C2318yes—
569#485C2318yes—
570#485C2312yes—
571#485C2312yes—
572#484C2312yes—
573#484C2318yes—
574#484C2318yes—
575#483C2312yes—
576#482C2318yes—
577#482C2318yes—
578#482C2318yes—
579#482C2318yes—
580#482C2312yes—
581#482C2312yes—
582#481C2318yes—
583#481C2312yes—
584#480C2318yes—
585#480C2318yes—
586#480C2318yes—
587#480C2312yes—
588#480C2318yes—
589#480C2318yes—
590#480C2318yes—
591#480C2318yes—
592#479C2312yes—
593#479C2318yes—
594#479C2312yes—
595#479C2318yes—
596#478C2312yes—
597#478C2318yes—
598#478C2312yes—
599#478C2318yes—
600#478C2318yes—
601#478C2318yes—
602#478C2318yes—
603#477C2314yes—
604#477C2314yes—
605#477C2314yes—
606#477C2314yes—
607#477C2311yescharacteristic
608#477C2311yescharacteristic
609#477C2318yes—
610#477C2314yes—
611#477C2318yes—
612#476C2311yescharacteristic
613#476C2314yes—
614#476C2311yescharacteristic
615#476C2314yes—
616#476C2314yes—
617#476C2314yes—
618#476C2314yes—
619#476C2318yes—
620#476C2314yes—
621#475C2314yes—
622#475C2314yes—
623#475C2314yes—
624#475C2314yes—
625#475C2311yescharacteristic
626#475C2311yescharacteristic
627#475C2314yes—
628#474C2311yescharacteristic
629#474C2311yescharacteristic
630#474C2314yes—
631#474C2314yes—
632#474C2314yes—
633#474C2314yes—
634#474C2314yes—
635#474C2314yes—
636#474C2318yes—
637#474C2318yes—
638#474C2314yes—
639#474C2314yes—
640#474C2318yes—
641#474C2318yes—
642#474C2314yes—
643#474C2314yes—
644#474C2318yes—
645#469C2318yes—
646#469C2318yes—
647#468C2318yes—
648#468C2318yes—
649#468C2318yes—
650#468C2318yes—
651#467C2318yes—
652#466C2318yes—
653#466C2318yes—
654#466C2318yes—
655#465C2318yes—
656#465C2318yes—
657#464C2312yes—
658#464C2312yes—
659#464C2318yes—
660#463C2312yes—
661#463C2312yes—
662#463C2318yes—
663#463C2318yes—
664#462C2311yescharacteristic
665#462C2311yescharacteristic
666#461C2311yescharacteristic
667#461C2311yescharacteristic
668#461C2314yes—
669#460C2318yes—
670#460C2314yes—
671#460C2311yescharacteristic
672#460C2311yescharacteristic
673#460C2314yes—
674#459C2314yes—
675#459C2311yescharacteristic
676#459C2311yescharacteristic
677#459C2314yes—
678#459C2318yes—
679#459C2314yes—
680#452C2312yes—
681#452C2318yes—
682#452C2312yes—
683#451C2312yes—
684#450C2312yes—
685#450C2318yes—
686#449C2318yes—
687#449C2312yes—
688#449C2312yes—
689#448C2312yes—
690#447C2312yes—
691#447C2318yes—
692#446C2314yes—
693#446C2314yes—
694C8×Q8C2314yes—
695C8×Q8C2314yes—
696#442C2318yes—
697#440C2318yes—
698#440C2318yes—
699#440C2318yes—
700C4×Q16C2312yes—
701C4×Q16C2318yes—
702C4×Q16C2312yes—
703C4×Q16C2312yes—
704C4×Q16C2312yes—
705C4×SD16C2312yes—
706C4×SD16C2318yes—
707C4×SD16C2312yes—
708C4×SD16C2312yes—
709C4×SD16C2312yes—
710C4×SD16C2312yes—
711C4×SD16C2312yes—
712C4×SD16C2312yes—
713C4×SD16C2312yes—
714C4×D8C2312yes—
715C4×D8C2318yes—
716C4×D8C2312yes—
717C4×D8C2312yes—
718C4×D8C2318yes—
719C4×D8C2312yes—
720#436C2314yes—
721#436C2318yes—
722#436C2314yes—
723#435C2318yes—
724#435C2318yes—
725C8×D4C2318yes—
726C8×D4C2314yes—
727C8×D4C2314yes—
728#433C2318yes—
729#432C2314yes—
730#431C2311yescharacteristic
731#431C2314yes—
732#431C2311yescharacteristic
733#431C2312yes—
734#431C2312yes—
735#431C2311yescharacteristic
736#431C2311yescharacteristic
737#428C2314yes—
738#428C2318yes—
739#428C2314yes—
740#428C2314yes—
741#428C2314yes—
742#428C2314yes—
743#428C2318yes—
744#427C2312yes—
745#427C2318yes—
746#427C2312yes—
747C2×#107C2314yes—
748C2×#107C2318yes—
749C2×#107C2314yes—
750C2×#107C2314yes—
751C2×#106C2314yes—
752#424C2314yes—
753#424C2318yes—
754#423C2312yes—
755#423C2314yes—
756#423C2312yes—
757#423C2312yes—
758#423C2312yes—
759C2×C4⋊C8C2312yes—
760C2×C4⋊C8C2312yes—
761C2×C4⋊C8C2311yescharacteristic
762C2×C4⋊C8C2314yes—
763C2×C4⋊C8C2311yescharacteristic
764#418C2314yes—
765#418C2318yes—
766#417C2318yes—
767#417C2314yes—
768#417C2314yes—
769#417C2314yes—
770#417C2314yes—
771#417C2314yes—
772#416C2312yes—
773#416C2318yes—
774#416C2312yes—
775#416C2312yes—
776#416C2312yes—
777C2×#103C2314yes—
778C2×#102C2314yes—
779C2×#102C2318yes—
780C2×#102C2314yes—
781C2×#102C2314yes—
782#408C2314yes—
783C2×C22⋊C8C2312yes—
784#405C2314yes—
785C2×C4×C8C2312yes—
7862−1+4—88no—
787H(5,𝔽2)—28no—
788H(5,𝔽2)—44no—
789C2×#41—22no—
790C2×#41—22no—
791C2×#41—22no—
792C2×#41—28no—
793C2×#41—24no—
794C2×#41—22no—
795C2×#41—24no—
796C2×#41—21no—
797C2×#41—21no—
798C2×#41—21no—
799C2×#41—22no—
800C2×#41—21no—
801C2×#41—24no—
802C2×#41—22no—
803C2×#41—22no—
804C2×#41—22no—
805C2×#41—24no—
806C2×#41—24no—
807C2×#41—42no—
808C2×#41—84no—
809C2×#41—88no—
810C2×#41C2×D412yes—
811C2×#41C2×D412yes—
812C2×#41C2411yescharacteristic
813C2×#41C2412yes—
814C2×#41C2411yescharacteristic
815C2×#41C2411yescharacteristic
816C2×#41C2414yes—
817C2×#41C2411yescharacteristic
818C2×#41C2412yes—
819C22×Q8—22no—
820C22×Q8—24no—
821C22×Q8—22no—
822C22×Q8—21no—
823C22×Q8—22no—
824C22×Q8—22no—
825C22×Q8—22no—
826C22×Q8—22no—
827C22×Q8—22no—
828C22×Q8—24no—
829C22×Q8—84no—
830C22×Q8C2411yescharacteristic
831C22×D4—21no—
832C22×D4—22no—
833C22×D4—22no—
834C22×D4—24no—
835C22×D4—22no—
836C22×D4—24no—
837C22×D4—22no—
838C22×D4—21no—
839C22×D4—21no—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2414yes—
843C23×C4—22no—
844C23×C4—21no—
845C23×C4—21no—
846C23×C4—22no—
847C23×C4—24no—
848C23×C4—21no—
849C23×C4C2×D411yescharacteristic
850C23×C4C2×D411yescharacteristic
851C23×C4C2411yescharacteristic
852AGL(1,ℤ/8)—48no—
853#135—28no—
854#135—44no—
855C2×Q16C2412yes—
856C2×Q16C2412yes—
857C2×SD16C2412yes—
858C2×SD16C2412yes—
859C2×SD16C2412yes—
860C2×SD16C2412yes—
861C2×SD16C2418yes—
862C2×D8C2412yes—
863C2×D8C2412yes—
864C2×D8C2418yes—
865#131—48no—
866C2×M16—44no—
867C2×M16C2414yes—
868C2×M16C2414yes—
869C2×M16C2418yes—
870C22×C8C2412yes—
871C22×C8C2412yes—
872C22×C8C2414yes—
873C22×C8C2418yes—
874C4⋊Q8—22no—
875C4⋊Q8—24no—
876C4⋊Q8—22no—
877C4⋊Q8—22no—
878C4⋊Q8—24no—
879C4⋊Q8—24no—
880C4⋊Q8—24no—
881C4⋊Q8—28no—
882C4⋊Q8—28no—
883C4⋊Q8—22no—
884C4⋊Q8—22no—
885C4⋊Q8—22no—
886C4⋊Q8—22no—
887C4⋊Q8—22no—
888C4⋊Q8—22no—
889C4⋊Q8—22no—
890C4⋊Q8—22no—
891C4⋊Q8—22no—
892C4⋊Q8—22no—
893C4⋊Q8—22no—
894C4⋊Q8—22no—
895C4⋊Q8—21no—
896C4⋊Q8—21no—
897C4⋊Q8—24no—
898C4⋊Q8—24no—
899C4⋊Q8C2×D411yescharacteristic
900C4⋊Q8C2×D411yescharacteristic
901C4⋊Q8C2×D411yescharacteristic
902C4⋊Q8C2411yescharacteristic
903C4⋊Q8C2414yes—
904C4⋊Q8C2411yescharacteristic
905C4⋊Q8C2414yes—
906C4⋊Q8C2414yes—
907C4⋊Q8C2414yes—
908C4⋊Q8C2412yes—
909C4⋊Q8C2412yes—
910C4⋊Q8C2418yes—
911C4⋊Q8C2411yescharacteristic
912C4⋊Q8C2414yes—
913#127—22no—
914#127—22no—
915#127—22no—
916#127—24no—
917#127—21no—
918#127—21no—
919#127C2×D411yescharacteristic
920#127C2412yes—
921#127C2412yes—
922#127C2411yescharacteristic
923#127C2414yes—
924#126—24no—
925#126—24no—
926#126—24no—
927#126—28no—
928#126—28no—
929#126—24no—
930#126—28no—
931#126—28no—
932#126—22no—
933#126—22no—
934#126—24no—
935#126C2×D414yes—
936#126C2×D414yes—
937#125—22no—
938#125—22no—
939#125—24no—
940#125—24no—
941#125—24no—
942#125—28no—
943#125—28no—
944#125—28no—
945#125—28no—
946#125—21no—
947#125—21no—
948#125—24no—
949#125C2×D412yes—
950#125C2×D412yes—
951#125C2×D412yes—
952#125C2412yes—
953#125C2414yes—
954#125C2418yes—
955#124—22no—
956#124—22no—
957#124—22no—
958#124—22no—
959#124—24no—
960#124—24no—
961#124—24no—
962#124—24no—
963#124—24no—
964#124—24no—
965#124—28no—
966#124—28no—
967#124—22no—
968#124—22no—
969#124—22no—
970#124—22no—
971#124—21no—
972#124—21no—
973#124—24no—
974#124—24no—
975#124C2×D412yes—
976#124C2×D412yes—
977#124C2×D412yes—
978#124C2412yes—
979#124C2414yes—
980#123—28no—
981#123—22no—
982#123—22no—
983#123—22no—
984#123—24no—
985#123—24no—
986#123—24no—
987#123—24no—
988#123—24no—
989#123—24no—
990#123—24no—
991#123—28no—
992#123—24no—
993#123—24no—
994#123—24no—
995#123—24no—
996#123—24no—
997#123—28no—
998#123—28no—
999#123—28no—
1000#123—28no—
1001#123C2×D414yes—
1002#123C2×D414yes—
1003#123C2×D414yes—
1004C22⋊Q8—22no—
1005C22⋊Q8—22no—
1006C22⋊Q8—24no—
1007C22⋊Q8—24no—
1008C22⋊Q8—21no—
1009C22⋊Q8—21no—
1010C22⋊Q8—21no—
1011C22⋊Q8—21no—
1012C22⋊Q8—24no—
1013C22⋊Q8—24no—
1014C22⋊Q8—24no—
1015C22⋊Q8—22no—
1016C22⋊Q8—22no—
1017C22⋊Q8—24no—
1018C22⋊Q8—24no—
1019C22⋊Q8—24no—
1020C22⋊Q8—24no—
1021C22⋊Q8—24no—
1022C22⋊Q8—24no—
1023C22⋊Q8—24no—
1024C22⋊Q8—28no—
1025C22⋊Q8—28no—
1026C22⋊Q8—28no—
1027C22⋊Q8—28no—
1028C22⋊Q8—24no—
1029C22⋊Q8—28no—
1030C22⋊Q8—28no—
1031C22⋊Q8—24no—
1032C22⋊Q8—28no—
1033C22⋊Q8—28no—
1034C22⋊Q8—28no—
1035C22⋊Q8—28no—
1036C22⋊Q8C2×D412yes—
1037C22⋊Q8C2×D412yes—
1038C22⋊Q8C2×D412yes—
1039C22⋊Q8C2×D412yes—
1040C22⋊Q8C2×D412yes—
1041C22⋊Q8C2×D412yes—
1042C22⋊Q8C2412yes—
1043C22⋊Q8C2412yes—
1044C22⋊Q8C2414yes—
1045C22⋊Q8C2418yes—
1046#121—22no—
1047#121—24no—
1048#121—24no—
1049#121—22no—
1050#121—28no—
1051#121—24no—
1052#121—28no—
1053#121—24no—
1054#121—24no—
1055#121—24no—
1056#121—24no—
1057#121—22no—
1058#121—22no—
1059#121—22no—
1060#121—22no—
1061#121—22no—
1062#121—22no—
1063#121—21no—
1064#121—21no—
1065#121—21no—
1066#121—21no—
1067#121—24no—
1068#121—24no—
1069#121—22no—
1070#121—22no—
1071#121—22no—
1072#121—22no—
1073#121—22no—
1074#121—22no—
1075#121—24no—
1076#121—24no—
1077#121—24no—
1078#121—24no—
1079#121—24no—
1080#121—24no—
1081#121—24no—
1082#121—24no—
1083#121—24no—
1084#121—24no—
1085#121C2×D412yes—
1086#121C2×D412yes—
1087#121C2×D412yes—
1088#121C2×D412yes—
1089#121C2×D412yes—
1090#121C2×D412yes—
1091#121C2414yes—
1092#121C2414yes—
1093#121C2412yes—
1094#121C2412yes—
1095#121C2414yes—
1096#121C2414yes—
1097#121C2414yes—
1098#121C2418yes—
1099#120—22no—
1100#120—24no—
1101#120—24no—
1102#120—24no—
1103#120—24no—
1104#120—24no—
1105#120—24no—
1106#120—24no—
1107#120C2×D414yes—
1108C4×Q8—22no—
1109C4×Q8—22no—
1110C4×Q8—24no—
1111C4×Q8—24no—
1112C4×Q8—22no—
1113C4×Q8—22no—
1114C4×Q8—24no—
1115C4×Q8—24no—
1116C4×Q8—21no—
1117C4×Q8—21no—
1118C4×Q8—21no—
1119C4×Q8—21no—
1120C4×Q8—21no—
1121C4×Q8—21no—
1122C4×Q8—21no—
1123C4×Q8—21no—
1124C4×Q8—24no—
1125C4×Q8—24no—
1126C4×Q8—24no—
1127C4×Q8C2×D412yes—
1128C4×Q8C2×D412yes—
1129C4×Q8C2×D412yes—
1130C4×Q8C2×D412yes—
1131C4×Q8C2411yescharacteristic
1132C4×Q8C2411yescharacteristic
1133C4×Q8C2411yescharacteristic
1134C4×Q8C2411yescharacteristic
1135C4×Q8C2411yescharacteristic
1136C4×Q8C2411yescharacteristic
1137C4×Q8C2411yescharacteristic
1138C4×Q8C2411yescharacteristic
1139C4×Q8C2414yes—
1140C4×Q8C2412yes—
1141C4×Q8C2412yes—
1142C4×Q8C2418yes—
1143C4×Q8C2412yes—
1144C4×Q8C2412yes—
1145C4×D4—22no—
1146C4×D4—24no—
1147C4×D4—22no—
1148C4×D4—28no—
1149C4×D4—24no—
1150C4×D4—28no—
1151C4×D4—24no—
1152C4×D4—21no—
1153C4×D4—24no—
1154C4×D4—21no—
1155C4×D4—21no—
1156C4×D4—21no—
1157C4×D4—21no—
1158C4×D4—21no—
1159C4×D4—21no—
1160C4×D4—21no—
1161C4×D4—21no—
1162C4×D4—21no—
1163C4×D4—21no—
1164C4×D4—21no—
1165C4×D4—21no—
1166C4×D4—21no—
1167C4×D4—21no—
1168C4×D4—21no—
1169C4×D4—24no—
1170C4×D4—22no—
1171C4×D4—22no—
1172C4×D4—22no—
1173C4×D4—22no—
1174C4×D4—24no—
1175C4×D4—22no—
1176C4×D4—22no—
1177C4×D4—22no—
1178C4×D4—24no—
1179C4×D4—22no—
1180C4×D4—24no—
1181C4×D4—22no—
1182C4×D4—24no—
1183C4×D4—22no—
1184C4×D4—22no—
1185C4×D4—22no—
1186C4×D4—24no—
1187C4×D4—24no—
1188C4×D4—24no—
1189C4×D4—24no—
1190C4×D4—24no—
1191C4×D4—24no—
1192C4×D4—28no—
1193C4×D4—28no—
1194C4×D4—22no—
1195C4×D4—24no—
1196C4×D4—22no—
1197C4×D4—22no—
1198C4×D4—22no—
1199C4×D4—22no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—22no—
1205C4×D4—24no—
1206C4×D4—24no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—24no—
1212C4×D4C2×D414yes—
1213C4×D4C2×D412yes—
1214C4×D4C2×D412yes—
1215C4×D4C2×D414yes—
1216C4×D4C2×D412yes—
1217C4×D4C2×D414yes—
1218C4×D4C2×D414yes—
1219C4×D4C2×D412yes—
1220C4×D4C2411yescharacteristic
1221C4×D4C2414yes—
1222C4×D4C2411yescharacteristic
1223C4×D4C2411yescharacteristic
1224C4×D4C2411yescharacteristic
1225C4×D4C2411yescharacteristic
1226C4×D4C2411yescharacteristic
1227C4×D4C2411yescharacteristic
1228C4×D4C2411yescharacteristic
1229C4×D4C2414yes—
1230C4×D4C2414yes—
1231C4×D4C2414yes—
1232C4×D4C2414yes—
1233C4×D4C2412yes—
1234C4×D4C2412yes—
1235C4×D4C2418yes—
1236C4×D4C2414yes—
1237C4×D4C2414yes—
1238C4×D4C2412yes—
1239C4×D4C2412yes—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—24no—
1245#117—22no—
1246#117—24no—
1247#117—22no—
1248#117—24no—
1249#117—24no—
1250#117—24no—
1251#117—28no—
1252#117—21no—
1253#117—21no—
1254#117—21no—
1255#117—21no—
1256#117—21no—
1257#117—21no—
1258#117—21no—
1259#117—21no—
1260#117—24no—
1261#117—22no—
1262#117—22no—
1263#117—24no—
1264#117—22no—
1265#117C2×D412yes—
1266#117C2×D412yes—
1267#117C2×D414yes—
1268#117C2×D414yes—
1269#117C2411yescharacteristic
1270#117C2411yescharacteristic
1271#117C2411yescharacteristic
1272#117C2411yescharacteristic
1273#117C2414yes—
1274#117C2412yes—
1275#117C2418yes—
1276#117C2412yes—
1277#117C2414yes—
1278C2×C4⋊C4—22no—
1279C2×C4⋊C4—22no—
1280C2×C4⋊C4—22no—
1281C2×C4⋊C4—22no—
1282C2×C4⋊C4—22no—
1283C2×C4⋊C4—22no—
1284C2×C4⋊C4—22no—
1285C2×C4⋊C4—22no—
1286C2×C4⋊C4—22no—
1287C2×C4⋊C4—21no—
1288C2×C4⋊C4—21no—
1289C2×C4⋊C4—21no—
1290C2×C4⋊C4—24no—
1291C2×C4⋊C4—22no—
1292C2×C4⋊C4—24no—
1293C2×C4⋊C4—22no—
1294C2×C4⋊C4—24no—
1295C2×C4⋊C4—24no—
1296C2×C4⋊C4C2414yes—
1297C2×C4⋊C4C2414yes—
1298C2×C4⋊C4C2414yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2414yes—
1303C2×C4⋊C4C2418yes—
1304C2×C22⋊C4—21no—
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—21no—
1307C2×C22⋊C4—22no—
1308C2×C22⋊C4—22no—
1309C2×C22⋊C4—24no—
1310C2×C22⋊C4—24no—
1311C2×C22⋊C4—24no—
1312C2×C22⋊C4—24no—
1313C2×C22⋊C4—24no—
1314C2×C42—21no—
1315C2×C42—21no—
1316C2×C42—21no—
1317C2×C42—21no—
1318C2×C42—21no—
1319C2×C42—24no—
1320C2×C42—21no—
1321C2×C42—22no—
1322C2×C42—21no—
1323C2×C42—21no—
1324C2×C42—21no—
1325C2×C42—21no—
1326C2×C42—21no—
1327C2×C42C2×D411yescharacteristic
1328C2×C42C2×D411yescharacteristic
1329C2×C42C2×D411yescharacteristic
1330C2×C42C2×D411yescharacteristic
1331C2×C42C2×D411yescharacteristic
1332C2×C42C2×D411yescharacteristic
1333C2×C42C2411yescharacteristic
1334C2×C42C2411yescharacteristic
1335C2×C42C2411yescharacteristic
1336C2×C42C2414yes—
1337C2×C42C2411yescharacteristic
1338C2×C42C2411yescharacteristic
1339C2×C42C2411yescharacteristic
1340#107C2412yes—
1341#107C2418yes—
1342#107C2418yes—
1343#107C2418yes—
1344#107C2418yes—
1345#107C2418yes—
1346#107C2418yes—
1347#107C2418yes—
1348#107C2412yes—
1349#107C2412yes—
1350#107C2412yes—
1351#106C2418yes—
1352#106C2418yes—
1353#106C2412yes—
1354#106C2412yes—
1355#106C2418yes—
1356#106C2412yes—
1357#106C2412yes—
1358C4⋊C8C2411yescharacteristic
1359C4⋊C8C2414yes—
1360C4⋊C8C2411yescharacteristic
1361C4⋊C8C2414yes—
1362C4⋊C8C2414yes—
1363C4⋊C8C2414yes—
1364C4⋊C8C2412yes—
1365C4⋊C8C2418yes—
1366C4⋊C8C2411yescharacteristic
1367C4⋊C8C2411yescharacteristic
1368C4⋊C8C2412yes—
1369C4⋊C8C2418yes—
1370#103C2418yes—
1371#103C2418yes—
1372#103C2412yes—
1373#103C2412yes—
1374#103C2412yes—
1375#103C2412yes—
1376#103C2412yes—
1377#103C2412yes—
1378#103C2412yes—
1379#103C2412yes—
1380#103C2418yes—
1381#102C2412yes—
1382#102C2418yes—
1383#102C2418yes—
1384#102C2418yes—
1385#102C2418yes—
1386#102C2418yes—
1387#102C2418yes—
1388#102C2418yes—
1389#102C2412yes—
1390#102C2418yes—
1391#102C2412yes—
1392#102C2412yes—
1393#102C2412yes—
1394#102C2412yes—
1395#102C2412yes—
1396#102C2412yes—
1397#102C2418yes—
1398C22⋊C8C2412yes—
1399C22⋊C8C2412yes—
1400C22⋊C8C2412yes—
1401C22⋊C8C2412yes—
1402C22⋊C8C2418yes—
1403C22⋊C8C2418yes—
1404#97C2418yes—
1405C4×C8C2412yes—
1406C4×C8C2412yes—
1407C4×C8C2412yes—
1408C4×C8C2412yes—
1409C4×C8C2418yes—
1410C24—21no—
1411C24—24no—
1412C24—22no—
1413C24C22×D411yescharacteristic
1414#41—28no—
1415#41—24no—
1416#41—24no—
1417#41—22no—
1418#41—22no—
1419#41—28no—
1420#41—22no—
1421#41—24no—
1422#41—22no—
1423#41—22no—
1424#41—24no—
1425#41—44no—
1426#41—41no—
1427#41—41no—
1428#41—44no—
1429#41—44no—
1430#41—44no—
1431#41—48no—
1432#41—44no—
1433#41—48no—
1434#41—44no—
1435#41—84no—
1436#41—88no—
1437#41—84no—
1438#41—84no—
1439#41—88no—
1440#41—88no—
1441#41—816no—
1442#41—84no—
1443#41—88no—
1444#41—84no—
1445#41—84no—
1446#412−1+414yescomplemented
1447C2×Q8—21no—
1448C2×Q8—21no—
1449C2×Q8—22no—
1450C2×Q8—24no—
1451C2×Q8—24no—
1452C2×Q8—21no—
1453C2×Q8—28no—
1454C2×Q8—24no—
1455C2×Q8—22no—
1456C2×Q8—24no—
1457C2×Q8—24no—
1458C2×Q8—22no—
1459C2×Q8—41no—
1460C2×Q8—48no—
1461C2×Q8—84no—
1462C2×Q8—84no—
1463C2×Q8—84no—
1464C2×Q8—84no—
1465C2×Q8—84no—
1466C2×Q8—82no—
1467C2×Q8—88no—
1468C2×Q8—84no—
1469C2×Q8—88no—
1470C2×Q8C22×D412yes—
1471C2×Q8C22×D412yes—
1472C2×Q8C22×D412yes—
1473C2×Q8C2511yescharacteristic
1474C2×Q8C2512yes—
1475C2×Q8C2511yescharacteristic
1476C2×D4—21no—
1477C2×D4—22no—
1478C2×D4—28no—
1479C2×D4—22no—
1480C2×D4—22no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—24no—
1484C2×D4—21no—
1485C2×D4—24no—
1486C2×D4—22no—
1487C2×D4—24no—
1488C2×D4—24no—
1489C2×D4—24no—
1490C2×D4—24no—
1491C2×D4—28no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—24no—
1495C2×D4—22no—
1496C2×D4—22no—
1497C2×D4—21no—
1498C2×D4—22no—
1499C2×D4—24no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—24no—
1503C2×D4—24no—
1504C2×D4—24no—
1505C2×D4—41no—
1506C2×D4—44no—
1507C2×D4—48no—
1508C2×D4—416no—
1509C2×D4—44no—
1510C2×D4—82no—
1511C2×D4—82no—
1512C2×D4—84no—
1513C2×D4—84no—
1514C2×D4—88no—
1515C2×D4—84no—
1516C2×D4C22×D414yes—
1517C2×D4C22×D412yes—
1518C2×D4C22×D412yes—
1519C2×D4C22×D414yes—
1520C2×D4C22×D412yes—
1521C2×D4C22×D414yes—
1522C2×D4C2514yes—
1523C2×D4C2511yescharacteristic
1524C2×D4C2512yes—
1525C2×D4C2511yescharacteristic
1526C22×C4—24no—
1527C22×C4—21no—
1528C22×C4—22no—
1529C22×C4—22no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—24no—
1533C22×C4—21no—
1534C22×C4—22no—
1535C22×C4—24no—
1536C22×C4—24no—
1537C22×C4—24no—
1538C22×C4—28no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—21no—
1543C22×C4—21no—
1544C22×C4—21no—
1545C22×C4—21no—
1546C22×C4—21no—
1547C22×C4—21no—
1548C22×C4—22no—
1549C22×C4—22no—
1550C22×C4—24no—
1551C22×C4—24no—
1552C22×C4—22no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—24no—
1556C22×C4—24no—
1557C22×C4—24no—
1558C22×C4—24no—
1559C22×C4—28no—
1560C22×C4—42no—
1561C22×C4—44no—
1562C22×C4—44no—
1563C22×C4—82no—
1564C22×C4—84no—
1565C22×C4—88no—
1566C22×C4—84no—
1567C22×C4C22×D411yescharacteristic
1568C22×C4C22×D411yescharacteristic
1569C22×C4C22×D411yescharacteristic
1570C22×C4C22×D411yescharacteristic
1571C22×C4C22×D411yescharacteristic
1572C22×C4C22×D411yescharacteristic
1573C22×C4C22×D411yescharacteristic
1574C22×C4C22×D411yescharacteristic
1575C22×C4C22×D411yescharacteristic
1576C22×C4C22×D411yescharacteristic
1577C22×C4C22×D411yescharacteristic
1578C22×C4C22×D414yes—
1579C22×C4C22×D411yescharacteristic
1580C22×C4C22×D411yescharacteristic
1581C22×C4C22×D411yescharacteristic
1582C22×C4C22×D414yes—
1583C22×C4C22×D411yescharacteristic
1584C22×C4C2511yescharacteristic
1585C22×C4C2511yescharacteristic
1586C22×C4C2514yes—
1587C22×C4C2511yescharacteristic
1588Q16—24no—
1589Q16—42no—
1590SD16—24no—
1591SD16—24no—
1592SD16—42no—
1593SD16—42no—
1594SD16—48no—
1595D8—24no—
1596D8—42no—
1597D8—48no—
1598M16—28no—
1599M16—44no—
1600M16—48no—
1601C2×C8—24no—
1602C2×C8—24no—
1603C2×C8—44no—
1604C2×C8—48no—
1605C2×C8C2512yes—
1606C2×C8C2512yes—
1607C2×C8C2512yes—
1608C2×C8C2512yes—
1609C2×C8C2518yes—
1610C4⋊C4—21no—
1611C4⋊C4—24no—
1612C4⋊C4—21no—
1613C4⋊C4—24no—
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—24no—
1619C4⋊C4—22no—
1620C4⋊C4—24no—
1621C4⋊C4—22no—
1622C4⋊C4—24no—
1623C4⋊C4—21no—
1624C4⋊C4—21no—
1625C4⋊C4—21no—
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—22no—
1631C4⋊C4—24no—
1632C4⋊C4—28no—
1633C4⋊C4—28no—
1634C4⋊C4—28no—
1635C4⋊C4—21no—
1636C4⋊C4—21no—
1637C4⋊C4—28no—
1638C4⋊C4—21no—
1639C4⋊C4—21no—
1640C4⋊C4—21no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—22no—
1645C4⋊C4—22no—
1646C4⋊C4—22no—
1647C4⋊C4—22no—
1648C4⋊C4—22no—
1649C4⋊C4—22no—
1650C4⋊C4—28no—
1651C4⋊C4—28no—
1652C4⋊C4C22×D412yes—
1653C4⋊C4C22×D412yes—
1654C4⋊C4C22×D414yes—
1655C4⋊C4C22×D412yes—
1656C4⋊C4C22×D412yes—
1657C4⋊C4C22×D414yes—
1658C4⋊C4C22×D414yes—
1659C4⋊C4C22×D412yes—
1660C4⋊C4C22×D412yes—
1661C4⋊C4C22×D414yes—
1662C4⋊C4C22×D414yes—
1663C4⋊C4C22×D414yes—
1664C4⋊C4C2512yes—
1665C4⋊C4C2512yes—
1666C4⋊C4C2518yes—
1667C4⋊C4C2511yescharacteristic
1668C4⋊C4C2511yescharacteristic
1669C4⋊C4C2511yescharacteristic
1670C4⋊C4C2514yes—
1671C4⋊C4C2511yescharacteristic
1672C22⋊C4—21no—
1673C22⋊C4—24no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—24no—
1678C22⋊C4—22no—
1679C22⋊C4—22no—
1680C22⋊C4—28no—
1681C22⋊C4—22no—
1682C22⋊C4—28no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—24no—
1686C22⋊C4—24no—
1687C22⋊C4—24no—
1688C22⋊C4—24no—
1689C22⋊C4—24no—
1690C22⋊C4—24no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—24no—
1698C22⋊C4—24no—
1699C22⋊C4—24no—
1700C22⋊C4—24no—
1701C22⋊C4—24no—
1702C22⋊C4—24no—
1703C22⋊C4—28no—
1704C22⋊C4—22no—
1705C22⋊C4—22no—
1706C22⋊C4—22no—
1707C22⋊C4—22no—
1708C22⋊C4—28no—
1709C22⋊C4—22no—
1710C22⋊C4—22no—
1711C22⋊C4C22×D414yes—
1712C22⋊C4C22×D414yes—
1713C22⋊C4C22×D414yes—
1714C22⋊C4C22×D414yes—
1715C22⋊C4C22×D414yes—
1716C22⋊C4C22×D414yes—
1717C22⋊C4C22×D414yes—
1718C22⋊C4C22×D414yes—
1719C22⋊C4C22×D414yes—
1720C42—21no—
1721C42—21no—
1722C42—21no—
1723C42—21no—
1724C42—21no—
1725C42—21no—
1726C42—21no—
1727C42—21no—
1728C42—21no—
1729C42—21no—
1730C42—21no—
1731C42—21no—
1732C42—24no—
1733C42—24no—
1734C42—22no—
1735C42—22no—
1736C42—22no—
1737C42—28no—
1738C42—28no—
1739C42C22×D411yescharacteristic
1740C42C22×D411yescharacteristic
1741C42C22×D411yescharacteristic
1742C42C22×D411yescharacteristic
1743C42C22×D414yes—
1744C42C22×D411yescharacteristic
1745C42C22×D411yescharacteristic
1746C42C22×D411yescharacteristic
1747C42C22×D411yescharacteristic
1748C42C22×D411yescharacteristic
1749C42C22×D411yescharacteristic
1750C42C22×D411yescharacteristic
1751C42C22×D411yescharacteristic
1752C42C22×D414yes—
1753C42C2511yescharacteristic
1754C42C2511yescharacteristic
1755C42C2514yes—
1756C42C2511yescharacteristic
1757C42C2511yescharacteristic
1758C23—21no—
1759C23—22no—
1760C23—22no—
1761C23—22no—
1762C23—24no—
1763C23—21no—
1764C23—41no—
1765C23—42no—
1766C23—48no—
1767C23—42no—
1768C23—44no—
1769C23—81no—
1770C23—82no—
1771C23—84no—
1772C23—82no—
1773C23—84no—
1774C23C23×D414yes—
1775C23C23×D411yescharacteristic
1776C23C23×D411yescharacteristic
1777C23C23×D411yescharacteristic
1778Q8—24no—
1779Q8—21no—
1780Q8—24no—
1781Q8—24no—
1782Q8—22no—
1783Q8—21no—
1784Q8—22no—
1785Q8—21no—
1786Q8—42no—
1787Q8—42no—
1788Q8—48no—
1789Q8—48no—
1790Q8—42no—
1791Q8—44no—
1792Q8—84no—
1793Q8—84no—
1794Q8—88no—
1795Q8—82no—
1796Q8—84no—
1797Q8C2×2−1+412yes—
1798D4—24no—
1799D4—28no—
1800D4—28no—
1801D4—24no—
1802D4—22no—
1803D4—24no—
1804D4—21no—
1805D4—21no—
1806D4—22no—
1807D4—24no—
1808D4—21no—
1809D4—24no—
1810D4—24no—
1811D4—44no—
1812D4—48no—
1813D4—42no—
1814D4—48no—
1815D4—42no—
1816D4—42no—
1817D4—42no—
1818D4—44no—
1819D4—42no—
1820D4—44no—
1821D4—48no—
1822D4—44no—
1823D4—44no—
1824D4—44no—
1825D4—44no—
1826D4—42no—
1827D4—82no—
1828D4—82no—
1829D4—84no—
1830D4—84no—
1831D4—84no—
1832D4—84no—
1833D4—84no—
1834D4—84no—
1835D4—88no—
1836D4C2×2−1+412yes—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—21no—
1844C2×C4—21no—
1845C2×C4—24no—
1846C2×C4—21no—
1847C2×C4—24no—
1848C2×C4—21no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—24no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—28no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—24no—
1865C2×C4—22no—
1866C2×C4—28no—
1867C2×C4—41no—
1868C2×C4—41no—
1869C2×C4—41no—
1870C2×C4—44no—
1871C2×C4—42no—
1872C2×C4—48no—
1873C2×C4—42no—
1874C2×C4—42no—
1875C2×C4—42no—
1876C2×C4—48no—
1877C2×C4—42no—
1878C2×C4—42no—
1879C2×C4—44no—
1880C2×C4—42no—
1881C2×C4—44no—
1882C2×C4—42no—
1883C2×C4—42no—
1884C2×C4—42no—
1885C2×C4—42no—
1886C2×C4—48no—
1887C2×C4—44no—
1888C2×C4—81no—
1889C2×C4—81no—
1890C2×C4—84no—
1891C2×C4—84no—
1892C2×C4—84no—
1893C2×C4—88no—
1894C2×C4—84no—
1895C2×C4—81no—
1896C2×C4—82no—
1897C2×C4—84no—
1898C2×C4—84no—
1899C2×C4—84no—
1900C2×C4—88no—
1901C2×C4#57614yes—
1902C2×C4C23×D414yes—
1903C2×C4C23×D414yes—
1904C2×C4C23×D411yescharacteristic
1905C2×C4C23×D411yescharacteristic
1906C2×C4C23×D411yescharacteristic
1907C2×C4C23×D411yescharacteristic
1908C2×C4C23×D411yescharacteristic
1909C2×C4C23×D411yescharacteristic
1910C2×C4C23×D411yescharacteristic
1911C2×C4C23×D414yes—
1912C2×C4C23×D411yescharacteristic
1913C2×C4C23×D411yescharacteristic
1914C2×C4C23×D411yescharacteristic
1915C2×C4C23×D411yescharacteristic
1916C2×C4C2×2−1+412yes—
1917C2×C4#58512yes—
1918C2×C4C2611yescharacteristic
1919C8—22no—
1920C8—22no—
1921C8—22no—
1922C8—22no—
1923C8—28no—
1924C22—21no—
1925C22—21no—
1926C22—21no—
1927C22—21no—
1928C22—21no—
1929C22—22no—
1930C22—24no—
1931C22—21no—
1932C22—24no—
1933C22—21no—
1934C22—24no—
1935C22—44no—
1936C22—41no—
1937C22—41no—
1938C22—41no—
1939C22—44no—
1940C22—42no—
1941C22—41no—
1942C22—42no—
1943C22—44no—
1944C22—41no—
1945C22—42no—
1946C22—44no—
1947C22—84no—
1948C22—164no—
1949C22—168no—
1950C22#348912yes—
1951C22C2×#57612yes—
1952C22C24×D411yescharacteristic
1953C4—21no—
1954C4—21no—
1955C4—22no—
1956C4—24no—
1957C4—21no—
1958C4—21no—
1959C4—24no—
1960C4—21no—
1961C4—21no—
1962C4—21no—
1963C4—24no—
1964C4—41no—
1965C4—42no—
1966C4—41no—
1967C4—41no—
1968C4—44no—
1969C4—42no—
1970C4—48no—
1971C4—41no—
1972C4—41no—
1973C4—42no—
1974C4#348912yes—
1975C4C2×#57612yes—
1976C4C2×#57612yes—
1977C4#358612yes—
1978C4C22×2−1+411yescharacteristic
1979C4C2×#58511yescharacteristic
1980C2—22no—
1981C2—22no—
1982C2—41no—
1983C2—44no—
1984C2—42no—
1985C2—82no—
1986C2—81no—
1987C2—84no—
1988C2C2×#348911yescharacteristic
1989C2C22×#57611yescharacteristic
1990C2C2×#358611yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ #3444 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62833C2semidirect
2. #62800C2semidirect
3. #62206C2semidirect
4. #62200C2semidirect
5. #62186C2semidirect
6. #62180C2semidirect
7. #62149C2semidirect
8. #62143C2semidirect
9. #62136C2semidirect
10. #62127C2semidirect
11. #62111C2semidirect
12. #62109C2semidirect
13. #62101C2semidirect
14. #62095C2semidirect
15. #61373C2semidirect
16. #61329C2semidirect
17. #61287C2semidirect
18. #61270C2semidirect
19. #61215C2semidirect
20. #61191C2semidirect
21. #60928C2semidirect
22. #60916C2semidirect
23. #60888C2semidirect
24. C2×#3226C2semidirect
25. #60596C2semidirect
26. #60536C2semidirect
27. #60494C2semidirect
28. C2×#3079C2semidirect
29. #60268C2semidirect
33. #3552C22semidirect
35. #3544C22semidirect
45. #3511C22semidirect
46. #3511C22semidirect
47. #3511C22semidirect
49. #3509C22semidirect
54. #3503C22semidirect
55. #3503C22semidirect
56. #3503C22semidirect
58. #3499C22semidirect
63. #3492C22semidirect
76. #3444C22semidirect
79. C22×C4⋊Q8C22semidirect
82. #3386C22semidirect
83. #3386C22semidirect
84. #3385C22semidirect
85. #3385C22semidirect
86. #3383C22semidirect
87. Q8×Q16C22semidirect
88. #3380C22semidirect
89. Q8×D8C22semidirect
90. #3375C22semidirect
91. #3373C22semidirect
92. #3368C22semidirect
93. #3366C22semidirect
94. #3365C22semidirect
95. #3362C22semidirect
96. #3361C22semidirect
97. #3358C22semidirect
98. #3357C22semidirect
99. #3357C22semidirect
100. #3357C22semidirect
101. #3355C22semidirect
102. #3353C22semidirect
103. #3353C22semidirect
104. #3347C22semidirect
105. #3346C22semidirect
106. #3345C22semidirect
107. #3343C22semidirect
108. #3342C22semidirect
109. #3341C22semidirect
110. #3338C22semidirect
111. #3337C22semidirect
112. #3334C22semidirect
113. #3334C22semidirect
114. #3333C22semidirect
115. #3333C22semidirect
116. #3332C22semidirect
117. #3325C22semidirect
118. #3324C22semidirect
119. #3322C22semidirect
120. #3314C22semidirect
121. #3310C22semidirect
122. #3309C22semidirect
123. #3308C22semidirect
124. #3305C22semidirect
125. #3304C22semidirect
126. #3300C22semidirect
127. #3295C22semidirect
128. #3294C22semidirect
129. #3294C22semidirect
130. #3262C22semidirect
131. #3257C22semidirect
132. #3254C22semidirect
133. #3254C22semidirect
134. #3253C22semidirect
135. #3251C22semidirect
136. #3251C22semidirect
137. #3248C22semidirect
138. #3247C22semidirect
139. #3246C22semidirect
140. #3245C22semidirect
141. #3245C22semidirect
142. #3243C22semidirect
143. #3241C22semidirect
144. #3239C22semidirect
145. #3235C22semidirect
146. #3233C22semidirect
147. #3226C22semidirect
148. #3226C22semidirect
149. #3226C22semidirect
150. #3226C22semidirect
151. #3226C22semidirect
152. #3226C22semidirect
153. #3226C22semidirect
154. #3164C22semidirect
155. C2×#500C22semidirect
156. #3136C22semidirect
157. C2×#486C22semidirect
158. #3124C22semidirect
159. #3118C22semidirect
160. #3115C22semidirect
161. #3110C22semidirect
162. #3108C22semidirect
163. #3107C22semidirect
164. #3107C22semidirect
165. #3107C22semidirect
166. #3106C22semidirect
167. #3106C22semidirect
168. #3105C22semidirect
169. #3104C22semidirect
170. #3103C22semidirect
171. #3102C22semidirect
172. #3102C22semidirect
173. #3101C22semidirect
174. #3100C22semidirect
175. #3100C22semidirect
176. #3098C22semidirect
177. #3098C22semidirect
178. #3096C22semidirect
179. #3091C22semidirect
180. C2×#480C22semidirect
182. #3083C22semidirect
183. #3083C22semidirect
184. #3081C22semidirect
185. #3081C22semidirect
188. #3079C22semidirect
189. #3079C22semidirect
190. #3079C22semidirect
191. #3079C22semidirect
192. #3079C22semidirect
193. #3079C22semidirect
194. #3079C22semidirect
195. #3079C22semidirect
196. #3077C22semidirect
197. #3077C22semidirect
199. #3076C22semidirect
200. #3076C22semidirect
201. C2×#477C22semidirect
202. C2×#475C22semidirect
203. C2×#476C22semidirect
204. C2×#474C22semidirect
205. C2×#474C22semidirect
206. C2×#474C22semidirect
207. C2×#474C22semidirect
208. #3062C22semidirect
209. #3061C22semidirect
210. #3055C22semidirect
211. #3045C22semidirect
212. #3038C22semidirect
213. #3036C22semidirect
215. #3035C22semidirect
218. #2994C22semidirect
219. #2993C22semidirect
220. #2991C22semidirect
221. #2990C22semidirect
222. #2989C22semidirect
223. #2988C22semidirect
224. #2960C22semidirect
226. #2946C22semidirect
228. C4×#135C22semidirect
229. #2933C22semidirect
230. #2931C22semidirect
231. #2925C22semidirect
232. C2×#431C22semidirect
233. #2913C22semidirect
234. C2×#428C22semidirect
235. #2906C22semidirect
236. C2×#423C22semidirect
1446. #412−1+4semidirect

Maximal subgroups

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

subgroupindex
#628332
#628002
#622062
#622002
#621862
#621802
#621492
#621432
#621362
#621272
#621112
#621092
#621012
#620952
#613732
#613292
#612872
#612702
#612152
#611912
#609282
#609162
#608882
C2×#32262
#605962
#605362
#604942
C2×#30792
#602682