Finite Group Databasebeta

← #10579590

Subgroups — #10579590

Order 512.

6202 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62835C211yesmaximal, characteristic, complemented
2#62781C211yesmaximal, characteristic, complemented
3#62218C214yesmaximal, complemented
4#62215C214yesmaximal, complemented
5#62195C218yesmaximal, complemented
6#62148C212yesmaximal, complemented
7#62143C212yesmaximal, complemented
8#62134C212yesmaximal, complemented
9#62128C212yesmaximal, complemented
10#62115C214yesmaximal, complemented
11#62098C214yesmaximal, complemented
12#61370C212yesmaximal, complemented
13#61326C212yesmaximal, complemented
14#61285C212yesmaximal, complemented
15#61274C214yesmaximal, complemented
16#61211C212yesmaximal, complemented
17#61187C214yesmaximal, complemented
18#60924C212yesmaximal, complemented
19#60916C211yesmaximal, characteristic, complemented
20#60893C212yesmaximal, complemented
21#60846C211yesmaximal, characteristic, complemented
22#60590C212yesmaximal, complemented
23C2×#3106C211yesmaximal, characteristic, complemented
24#60495C212yesmaximal, complemented
25#60484C211yesmaximal, characteristic, complemented
26#60268C211yesmaximal, characteristic, complemented
27#3561—22no—
28#3559C2214yescomplemented
29#3554—22no—
30#3550—21no—
31#3548—21no—
32#3547C2214yescomplemented
33#3536—22no—
34#3522—22no—
35#3521—22no—
36#3521C2214yescomplemented
37#3520—22no—
38#3515—21no—
39#3515C2212yescomplemented
40#3514—21no—
41#3514C2212yescomplemented
42#3511C2214yescomplemented
43#3511C2212yescomplemented
44#3508C2212yescomplemented
45#3507—21no—
46#3507C2211yescharacteristic
47#3507C2211yescharacteristic
48#3506C2212yes—
49#3505—22no—
50#3503C2212yescomplemented
51#3501C2211yescharacteristic
52#3501C2212yescomplemented
53#3499C2212yescomplemented
54#3497—21no—
55#3496C2211yescharacteristic
56#3494C2214yescomplemented
57#3493C2212yes—
58#3491—22no—
59#3489—22no—
60#3485C2212yes—
61#3482—21no—
62#3482C2212yescomplemented
63#3481—21no—
64#3481C2212yescomplemented
65#3475—22no—
66#3475C2214yescomplemented
67#3461C2212yes—
68#3459—22no—
69#3444C2211yescharacteristic
70#3444C2211yescharacteristic
71C2×#533C2211yescharacteristic, complemented
72C2×#532C2211yescharacteristic, complemented
73C2×#529—22no—
74C4×H(5,𝔽2)C2212yes—
75C2×C4×#41C2211yescharacteristic
76#3389C2218yescomplemented
77#3384C2214yescomplemented
78#3384C2214yescomplemented
79#3380C2214yescomplemented
80#3380C2218yescomplemented
81Q8×D8C2214yescomplemented
82#3376C2218yescomplemented
83#3373C2214yescomplemented
84#3372C2214yescomplemented
85#3361C2214yescomplemented
86#3360C2218yescomplemented
87#3359C2214yescomplemented
88#3357C2214yescomplemented
89#3355C2218yescomplemented
90#3353C2214yescomplemented
91#3353C2218yescomplemented
92#3351C2218yescomplemented
93#3350C2218yescomplemented
94#3348C2218yescomplemented
95#3347C2218yescomplemented
96#3345C2218yescomplemented
97#3341C2218yescomplemented
98#3340C2214yescomplemented
99#3337C2218yescomplemented
100#3337C2218yescomplemented
101#3335C2214yescomplemented
102#3330C2218yescomplemented
103#3330C2214yescomplemented
104#3325C2214yescomplemented
105#3322C2218yescomplemented
106#3322C2218yescomplemented
107#3319C2218yescomplemented
108#3307C2218yescomplemented
109#3307C2218yescomplemented
110#3306C2218yescomplemented
111#3303C2218yescomplemented
112#3303C2214yescomplemented
113#3297C2218yescomplemented
114#3297C2218yescomplemented
115#3294C2214yescomplemented
116#3260C2218yescomplemented
117#3257C2218yescomplemented
118#3254C2214yescomplemented
119#3254C2212yescomplemented
120#3253C2212yescomplemented
121#3251C2214yescomplemented
122#3251C2214yescomplemented
123#3247C2214yescomplemented
124#3247C2214yescomplemented
125#3246C2212yescomplemented
126#3246C2214yescomplemented
127#3245C2212yescomplemented
128#3243C2218yescomplemented
129#3242C2218yescomplemented
130#3238C2214yescomplemented
131#3237C2214yescomplemented
132#3233C2212yescomplemented
133#3233C2214yescomplemented
134#3233C2212yescomplemented
135#3232C2214yescomplemented
136#3231C2212yescomplemented
137#3230C2214yescomplemented
138#3230C2211yescharacteristic, complemented
139#3229C2211yescharacteristic, complemented
140#3228C2212yescomplemented
141#3227C2211yescharacteristic, complemented
142#3226C2211yescharacteristic, complemented
143#3164C2214yescomplemented
144#3160C2212yescomplemented
145#3137C2214yescomplemented
146#3131C2212yes—
147#3122C2218yescomplemented
148#3119C2218yescomplemented
149#3115C2214yescomplemented
150#3109C2214yescomplemented
151#3106C2214yescomplemented
152#3106C2212yescomplemented
153#3106C2212yescomplemented
154#3106C2212yescomplemented
155#3106C2212yescomplemented
156#3106C2214yescomplemented
157#3106C2214yescomplemented
158#3100C2214yescomplemented
159#3098C2214yes—
160#3097C2214yescomplemented
161#3096C2214yescomplemented
162#3091C2214yescomplemented
163C2×#482C2212yescomplemented
164#3084C2218yescomplemented
165#3084C2214yescomplemented
166#3081C2214yes—
167#3081C2218yescomplemented
168#3081C2214yescomplemented
169#3080C2214yescomplemented
170#3079C2212yescomplemented
171#3079C2212yescomplemented
172#3079C2214yescomplemented
173#3079C2212yescomplemented
174#3078C2212yescomplemented
175#3078C2212yescomplemented
176#3077C2212yes—
177#3077C2212yes—
178#3077C2214yescomplemented
179#3077C2212yescomplemented
180#3076C2214yescomplemented
181#3076C2214yescomplemented
182#3076C2214yescomplemented
183#3076C2212yescomplemented
184#3076C2212yescomplemented
185C2×#477C2211yescharacteristic, complemented
186C2×#476C2211yescharacteristic
187C2×#476C2214yescomplemented
188#3062C2214yes—
189#3057C2214yescomplemented
190#3055C2214yescomplemented
191#3042C2214yescomplemented
192#3038C2212yescomplemented
193#3036C2212yes—
194C2×#460C2211yescharacteristic, complemented
195C2×#459C2211yescharacteristic
196#3008C2214yes—
197C2×#449C2212yes—
198#2994C2214yescomplemented
199#2993C2214yescomplemented
200#2991C2212yescomplemented
201#2990C2212yescomplemented
202#2989C2212yescomplemented
203#2988C2212yescomplemented
204#2960C2212yescomplemented
205#2948C2214yes—
206#2946C2214yescomplemented
207C2×C4×SD16C2212yescomplemented
208C2×C4×D8C2212yes—
209#2933C2214yescomplemented
210#2931C2212yes—
211#2925C2212yescomplemented
212C2×#431C2211yescharacteristic, complemented
213#2912C2214yescomplemented
214#2911C2212yescomplemented
215#2906C2212yescomplemented
216C2×#423C2211yescharacteristic, complemented
217#2897C2214yes—
218#2896C2212yes—
219C2×2−1+4—22no—
220C2×H(5,𝔽2)C2312yes—
221C22×#41—21no—
222C22×#41C2311yescharacteristic
223C2×AGL(1,ℤ/8)C2314yes—
224C22×SD16C2312yes—
225C22×D8C2312yes—
226C2×#131C2314yes—
227C22×M16C2312yes—
228#563—24no—
229#562—24no—
230#562—28no—
231#559—21no—
232#559—24no—
233#559—22no—
234#559—22no—
235#559C2312yes—
236Q82—22no—
237#557—21no—
238#557—22no—
239#557C2312yes—
240#556—21no—
241#556—22no—
242#556—22no—
243#556—22no—
244#556—24no—
245#556—22no—
246#556C2314yes—
247#556C2312yes—
248#556C2314yes—
249#555—22no—
250#555C2314yes—
251#555C2314yes—
252#555C2318yes—
253#554—21no—
254#554—21no—
255#554—22no—
256#554—22no—
257#554—24no—
258#554—24no—
259#554—22no—
260#554C2318yes—
261#554C2314yes—
262#554C2312yes—
263#554C2314yes—
264#554C2312yes—
265#553—24no—
266#553—22no—
267#553—22no—
268#553—24no—
269#553—22no—
270#553C2318yes—
271#553C2318yes—
272#553C2314yes—
273#553C2318yes—
274#552—24no—
275#552—22no—
276#552—24no—
277#552—24no—
278#552—22no—
279#552—22no—
280#552—24no—
281#552—24no—
282#552—22no—
283#552C2314yes—
284#552C2314yes—
285#551—24no—
286#551—24no—
287#551—24no—
288#551—28no—
289#551—24no—
290#551—24no—
291#551—24no—
292#550—22no—
293#550—22no—
294#550—22no—
295D4×Q8—21no—
296D4×Q8—22no—
297D4×Q8—22no—
298D4×Q8—24no—
299D4×Q8—22no—
300D4×Q8C2314yes—
301D4×Q8C2312yes—
302#548—22no—
303#548—24no—
304#548—22no—
305#548—24no—
306#548—24no—
307#548—24no—
308#547—21no—
309#547—28no—
310#547—22no—
311#547—22no—
312#547—24no—
313#547—22no—
314#547—24no—
315#547—22no—
316#547C2314yes—
317#547C2312yes—
318#547C2314yes—
319#547C2314yes—
320#547C2318yes—
321#546—22no—
322#546—22no—
323#546—22no—
324#546—22no—
325#546—22no—
326#546—28no—
327#546—24no—
328#546—24no—
329#546C2314yes—
330#546C2314yes—
331#546C2314yes—
332D42—21no—
333D42C2312yes—
334#544C2314yes—
335#544C2312yes—
336#544C2318yes—
337#543—22no—
338#543—24no—
339#542—28no—
340#542—24no—
341#542—22no—
342#542—24no—
343#542—24no—
344#542—24no—
345#542C2314yes—
346#541—22no—
347#541C2314yes—
348#540—24no—
349#540C2318yes—
350#539—28no—
351#539—24no—
352#539—22no—
353#539—24no—
354#539—24no—
355#539—22no—
356#539—24no—
357#538—24no—
358#538—24no—
359#538—24no—
360#538—24no—
361#537—22no—
362#537—24no—
363#537—24no—
364#537—24no—
365#537C2312yes—
366#536—24no—
367#536—22no—
368#536—24no—
369#536C2312yes—
370#536C2312yes—
371#535C2314yes—
372#534—22no—
373#534—24no—
374#533—22no—
375#533—21no—
376#533—21no—
377#533—21no—
378#533—21no—
379#533D411yescharacteristic
380#533D411yescharacteristic
381#533C2311yescharacteristic
382#533C2311yescharacteristic
383#533C2314yes—
384#533C2312yes—
385#533C2312yes—
386#533C2312yes—
387#533C2314yes—
388#533C2312yes—
389#533C2311yescharacteristic
390#533C2311yescharacteristic
391#532—24no—
392#532—21no—
393#532—21no—
394#532—21no—
395#532—21no—
396#532D411yescharacteristic
397#532D411yescharacteristic
398#532C2311yescharacteristic
399#532C2314yes—
400#532C2312yes—
401#532C2312yes—
402#532C2312yes—
403#532C2312yes—
404#532C2314yes—
405#532C2311yescharacteristic
406#532C2311yescharacteristic
407#532C2311yescharacteristic
408C2×C4⋊Q8C2311yescharacteristic
409C2×C4⋊Q8C2311yescharacteristic
410C2×C4⋊Q8C2311yescharacteristic
411C2×C4⋊Q8C2314yes—
412C2×#127C2311yescharacteristic
413#529—24no—
414#529—22no—
415#529—22no—
416#529—24no—
417#529—22no—
418#529—24no—
419#529—22no—
420#529—22no—
421#529—24no—
422#529—22no—
423#529—24no—
424#529—22no—
425#529—24no—
426#529—24no—
427#529—21no—
428#529—21no—
429#529—21no—
430#529—21no—
431#529D412yes—
432#529D412yes—
433#529D412yes—
434#529D412yes—
435#529C2312yes—
436#529C2312yes—
437#529C2314yes—
438#529C2312yes—
439#529C2312yes—
440C2×#126—24no—
441C2×#125—22no—
442C2×#125C2312yes—
443C2×#124—22no—
444C2×#124—21no—
445#525—24no—
446#525—21no—
447#525—21no—
448#525—24no—
449#525—24no—
450#525D412yes—
451#525D412yes—
452#525C2312yes—
453#525C2312yes—
454C2×#123—24no—
455C2×C22⋊Q8—21no—
456C2×C22⋊Q8—21no—
457C2×C22⋊Q8—22no—
458C2×C22⋊Q8—24no—
459C2×#121—21no—
460C2×#121—22no—
461C2×#121C2312yes—
462#520—22no—
463#520—22no—
464#520—24no—
465#520C2314yes—
466#520C2312yes—
467#520C2312yes—
468#520C2314yes—
469#518—24no—
470#518—22no—
471#518C2312yes—
472#518C2314yes—
473#518C2314yes—
474C4×#41—22no—
475C4×#41—21no—
476C4×#41—21no—
477C4×#41—21no—
478C4×#41—21no—
479C4×#41—21no—
480C4×#41—21no—
481C4×#41C2312yes—
482C4×#41C2312yes—
483C4×#41C2312yes—
484C4×#41C2314yes—
485C4×#41C2312yes—
486C4×#41C2312yes—
487C4×#41C2312yes—
488C4×#41C2312yes—
489C4×#41C2312yes—
490C2×C4×Q8—22no—
491C2×C4×Q8—21no—
492C2×C4×Q8—21no—
493C2×C4×Q8C2311yescharacteristic
494C2×C4×Q8C2311yescharacteristic
495C2×C4×D4—21no—
496C2×C4×D4—21no—
497C2×C4×D4—24no—
498C2×C4×D4—22no—
499C2×C4×D4—22no—
500C2×C4×D4—21no—
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2314yes—
504C2×C4×D4C2312yes—
505C2×#117—24no—
506C2×#117—21no—
507C2×#117C2311yescharacteristic
508C2×#117C2312yes—
509C22×C42—21no—
510C22×C42C2311yescharacteristic
511#501C2318yes—
512#501C2318yes—
513#500C2318yes—
514#500C2312yes—
515#500C2312yes—
516#499C2314yes—
517#499C2318yes—
518#499C2314yes—
519#498C2312yes—
520#498C2312yes—
521#491C2318yes—
522#489C2318yes—
523#488C2314yes—
524#488C2318yes—
525#488C2314yes—
526#487C2312yes—
527#487C2318yes—
528#487C2312yes—
529#486C2312yes—
530#486C2312yes—
531#485C2314yes—
532#485C2318yes—
533#485C2318yes—
534#485C2314yes—
535#485C2318yes—
536#484C2314yes—
537#484C2318yes—
538#484C2318yes—
539#483C2318yes—
540#483C2314yes—
541#482C2314yes—
542#482C2318yes—
543#482C2318yes—
544#482C2314yes—
545#482C2318yes—
546#482C2314yes—
547#482C2314yes—
548#482C2314yes—
549#482C2314yes—
550#481C2318yes—
551#481C2314yes—
552#480C2318yes—
553#480C2318yes—
554#480C2314yes—
555#479C2318yes—
556#479C2318yes—
557#479C2318yes—
558#479C2314yes—
559#479C2314yes—
560#478C2318yes—
561#478C2318yes—
562#478C2318yes—
563#478C2314yes—
564#478C2314yes—
565#478C2318yes—
566#478C2318yes—
567#478C2318yes—
568#478C2318yes—
569#478C2318yes—
570#477C2312yes—
571#477C2312yes—
572#477C2314yes—
573#477C2314yes—
574#477C2314yes—
575#477C2312yes—
576#477C2314yes—
577#477C2312yes—
578#476C2312yes—
579#476C2314yes—
580#476C2314yes—
581#476C2312yes—
582#476C2312yes—
583#476C2312yes—
584#476C2314yes—
585#476C2314yes—
586#476C2318yes—
587#476C2314yes—
588#476C2318yes—
589#476C2318yes—
590#475C2312yes—
591#475C2314yes—
592#475C2314yes—
593#475C2312yes—
594#475C2318yes—
595#475C2314yes—
596#474C2314yes—
597#474C2318yes—
598#474C2314yes—
599#474C2312yes—
600#474C2312yes—
601#474C2314yes—
602#474C2314yes—
603#474C2318yes—
604#469C2318yes—
605#469C2318yes—
606#468C2318yes—
607#468C2318yes—
608#468C2318yes—
609#468C2318yes—
610#466C2318yes—
611#466C2318yes—
612#465C2318yes—
613#465C2318yes—
614#465C2318yes—
615#465C2318yes—
616#463C2318yes—
617#463C2318yes—
618#463C2318yes—
619#461C2314yes—
620#461C2318yes—
621#461C2318yes—
622#460C2312yes—
623#460C2312yes—
624#460C2314yes—
625#460C2314yes—
626#460C2314yes—
627#459C2312yes—
628#459C2314yes—
629#459C2314yes—
630#459C2312yes—
631#459C2314yes—
632#459C2314yes—
633#449C2314yes—
634#449C2318yes—
635#449C2314yes—
636#449C2314yes—
637#449C2314yes—
638#449C2318yes—
639#447C2318yes—
640#447C2318yes—
641#446C2314yes—
642#446C2314yes—
643C8×Q8C2314yes—
644C8×Q8C2314yes—
645#442C2318yes—
646#442C2318yes—
647#442C2318yes—
648#440C2318yes—
649C4×SD16C2314yes—
650C4×SD16C2314yes—
651C4×SD16C2318yes—
652C4×SD16C2314yes—
653C4×SD16C2314yes—
654C4×D8C2314yes—
655C4×D8C2318yes—
656C4×D8C2318yes—
657C4×D8C2318yes—
658C4×D8C2314yes—
659C4×D8C2314yes—
660C4×D8C2314yes—
661#436C2318yes—
662#436C2314yes—
663#436C2314yes—
664#435C2318yes—
665#435C2318yes—
666C8×D4C2314yes—
667C8×D4C2314yes—
668C8×D4C2318yes—
669#433C2318yes—
670#432C2314yes—
671#431C2314yes—
672#431C2311yescharacteristic
673#431C2311yescharacteristic
674#431C2312yes—
675#431C2312yes—
676#431C2311yescharacteristic
677#431C2311yescharacteristic
678#428C2314yes—
679#428C2314yes—
680#428C2314yes—
681#428C2318yes—
682#428C2314yes—
683#428C2314yes—
684#428C2318yes—
685#427C2318yes—
686#427C2314yes—
687#427C2318yes—
688#427C2314yes—
689C2×#107C2312yes—
690C2×#106C2318yes—
691C2×#106C2312yes—
692#424C2314yes—
693#424C2318yes—
694#423C2312yes—
695#423C2312yes—
696#423C2314yes—
697#423C2312yes—
698#423C2312yes—
699C2×C4⋊C8C2311yescharacteristic
700C2×C4⋊C8C2312yes—
701C2×C4⋊C8C2312yes—
702C2×C4⋊C8C2311yescharacteristic
703C2×C4⋊C8C2314yes—
704#419C2314yes—
705#418C2314yes—
706#418C2314yes—
707#418C2318yes—
708#417C2314yes—
709#417C2318yes—
710#417C2314yes—
711#417C2314yes—
712#416C2318yes—
713#416C2314yes—
714#416C2318yes—
715#416C2314yes—
716C2×#103C2312yes—
717C2×#102C2312yes—
718C2×#102C2312yes—
719C2×#102C2318yes—
720C2×#102C2312yes—
721#408C2314yes—
722C2×C22⋊C8C2312yes—
723#405C2314yes—
724C2×C4×C8C2312yes—
7252−1+4—88no—
726H(5,𝔽2)—28no—
727H(5,𝔽2)—44no—
728C2×#41—22no—
729C2×#41—24no—
730C2×#41—28no—
731C2×#41—21no—
732C2×#41—21no—
733C2×#41—22no—
734C2×#41—21no—
735C2×#41—21no—
736C2×#41—24no—
737C2×#41—22no—
738C2×#41—22no—
739C2×#41—22no—
740C2×#41—24no—
741C2×#41—24no—
742C2×#41—42no—
743C2×#41—84no—
744C2×#41C2×D412yes—
745C2×#41C2×D412yes—
746C2×#41C2412yes—
747C2×#41C2412yes—
748C2×#41C2412yes—
749C2×#41C2414yes—
750C2×#41C2412yes—
751C22×Q8—22no—
752C22×Q8—24no—
753C22×Q8—21no—
754C22×Q8—21no—
755C22×Q8—21no—
756C22×Q8—24no—
757C22×Q8C2411yescharacteristic
758C22×D4—21no—
759C22×D4—22no—
760C22×D4—24no—
761C22×D4—22no—
762C22×D4—22no—
763C22×D4—21no—
764C22×D4—21no—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2411yescharacteristic
768C23×C4—21no—
769C23×C4—24no—
770C23×C4—21no—
771C23×C4—21no—
772C23×C4—22no—
773C23×C4C2×D411yescharacteristic
774C23×C4C2×D411yescharacteristic
775C23×C4C2411yescharacteristic
776AGL(1,ℤ/8)—48no—
777C2×SD16—44no—
778C2×SD16C2414yes—
779C2×SD16C2414yes—
780C2×SD16C2418yes—
781C2×D8—28no—
782C2×D8C2414yes—
783C2×D8C2414yes—
784C2×D8C2418yes—
785#131—48no—
786C2×M16—44no—
787C2×M16C2414yes—
788C2×M16C2414yes—
789C2×M16C2418yes—
790C22×C8C2412yes—
791C22×C8C2412yes—
792C22×C8C2414yes—
793C22×C8C2418yes—
794C4⋊Q8—22no—
795C4⋊Q8—24no—
796C4⋊Q8—22no—
797C4⋊Q8—28no—
798C4⋊Q8—21no—
799C4⋊Q8—21no—
800C4⋊Q8—21no—
801C4⋊Q8—21no—
802C4⋊Q8—21no—
803C4⋊Q8—21no—
804C4⋊Q8—24no—
805C4⋊Q8—24no—
806C4⋊Q8C2×D411yescharacteristic
807C4⋊Q8C2×D411yescharacteristic
808C4⋊Q8C2×D411yescharacteristic
809C4⋊Q8C2411yescharacteristic
810C4⋊Q8C2414yes—
811C4⋊Q8C2412yes—
812C4⋊Q8C2412yes—
813C4⋊Q8C2412yes—
814C4⋊Q8C2412yes—
815C4⋊Q8C2412yes—
816C4⋊Q8C2412yes—
817C4⋊Q8C2418yes—
818C4⋊Q8C2411yescharacteristic
819C4⋊Q8C2411yescharacteristic
820C4⋊Q8C2414yes—
821#127—24no—
822#127—21no—
823#127—21no—
824#127C2×D411yescharacteristic
825#127C2412yes—
826#127C2412yes—
827#127C2411yescharacteristic
828#126—24no—
829#126—24no—
830#126—24no—
831#126—24no—
832#126—28no—
833#126—28no—
834#126—28no—
835#126—24no—
836#126—24no—
837#126—24no—
838#126—24no—
839#126—24no—
840#126—24no—
841#126—24no—
842#126—22no—
843#126—22no—
844#126—24no—
845#126C2×D414yes—
846#126C2×D414yes—
847#125—24no—
848#125—24no—
849#125—22no—
850#125—22no—
851#125—24no—
852#125—24no—
853#125—24no—
854#125—22no—
855#125—24no—
856#125—28no—
857#125—21no—
858#125—22no—
859#125—22no—
860#125—21no—
861#125—24no—
862#125C2×D412yes—
863#125C2×D412yes—
864#125C2×D412yes—
865#125C2414yes—
866#125C2414yes—
867#125C2412yes—
868#125C2414yes—
869#125C2418yes—
870#124—22no—
871#124—24no—
872#124—22no—
873#124—22no—
874#124—24no—
875#124—24no—
876#124—24no—
877#124—24no—
878#124—28no—
879#124—28no—
880#124—28no—
881#124—21no—
882#124—22no—
883#124—22no—
884#124—22no—
885#124—22no—
886#124—21no—
887#124—24no—
888#124—24no—
889#124C2×D412yes—
890#124C2×D412yes—
891#124C2×D412yes—
892#124C2412yes—
893#124C2414yes—
894#123—24no—
895#123—24no—
896#123—24no—
897#123—22no—
898#123—22no—
899#123—22no—
900#123—24no—
901#123—24no—
902#123—24no—
903#123—24no—
904#123—24no—
905#123—28no—
906#123—28no—
907#123—24no—
908#123—24no—
909#123—24no—
910#123—24no—
911#123—28no—
912#123—24no—
913#123—24no—
914#123—24no—
915#123—28no—
916#123—24no—
917#123—28no—
918#123—28no—
919#123—28no—
920#123—28no—
921#123C2×D414yes—
922#123C2×D414yes—
923#123C2×D414yes—
924C22⋊Q8—22no—
925C22⋊Q8—24no—
926C22⋊Q8—24no—
927C22⋊Q8—24no—
928C22⋊Q8—22no—
929C22⋊Q8—28no—
930C22⋊Q8—22no—
931C22⋊Q8—21no—
932C22⋊Q8—22no—
933C22⋊Q8—22no—
934C22⋊Q8—22no—
935C22⋊Q8—22no—
936C22⋊Q8—22no—
937C22⋊Q8—22no—
938C22⋊Q8—22no—
939C22⋊Q8—21no—
940C22⋊Q8—21no—
941C22⋊Q8—21no—
942C22⋊Q8—24no—
943C22⋊Q8—24no—
944C22⋊Q8—24no—
945C22⋊Q8—22no—
946C22⋊Q8—24no—
947C22⋊Q8—24no—
948C22⋊Q8—28no—
949C22⋊Q8—24no—
950C22⋊Q8—24no—
951C22⋊Q8—22no—
952C22⋊Q8—24no—
953C22⋊Q8—24no—
954C22⋊Q8—22no—
955C22⋊Q8—24no—
956C22⋊Q8—28no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—24no—
961C22⋊Q8—28no—
962C22⋊Q8—24no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8C2×D412yes—
966C22⋊Q8C2×D412yes—
967C22⋊Q8C2×D412yes—
968C22⋊Q8C2×D412yes—
969C22⋊Q8C2×D412yes—
970C22⋊Q8C2×D412yes—
971C22⋊Q8C2412yes—
972C22⋊Q8C2412yes—
973C22⋊Q8C2414yes—
974C22⋊Q8C2414yes—
975C22⋊Q8C2414yes—
976#121—24no—
977#121—22no—
978#121—24no—
979#121—24no—
980#121—24no—
981#121—24no—
982#121—24no—
983#121—22no—
984#121—28no—
985#121—28no—
986#121—28no—
987#121—28no—
988#121—21no—
989#121—22no—
990#121—22no—
991#121—22no—
992#121—22no—
993#121—22no—
994#121—22no—
995#121—21no—
996#121—21no—
997#121—21no—
998#121—24no—
999#121—24no—
1000#121—22no—
1001#121—24no—
1002#121—24no—
1003#121—24no—
1004#121—28no—
1005#121—28no—
1006#121C2×D412yes—
1007#121C2×D412yes—
1008#121C2×D412yes—
1009#121C2×D412yes—
1010#121C2×D412yes—
1011#121C2×D412yes—
1012#121C2414yes—
1013#121C2414yes—
1014#121C2412yes—
1015#121C2412yes—
1016#121C2414yes—
1017#121C2418yes—
1018#121C2418yes—
1019#120—22no—
1020#120—24no—
1021#120—24no—
1022#120—24no—
1023#120—28no—
1024#120—24no—
1025#120C2×D414yes—
1026C4×Q8—22no—
1027C4×Q8—22no—
1028C4×Q8—24no—
1029C4×Q8—22no—
1030C4×Q8—24no—
1031C4×Q8—21no—
1032C4×Q8—22no—
1033C4×Q8—24no—
1034C4×Q8—22no—
1035C4×Q8—22no—
1036C4×Q8—22no—
1037C4×Q8—22no—
1038C4×Q8—22no—
1039C4×Q8—22no—
1040C4×Q8—22no—
1041C4×Q8—21no—
1042C4×Q8—21no—
1043C4×Q8—21no—
1044C4×Q8—21no—
1045C4×Q8—21no—
1046C4×Q8—21no—
1047C4×Q8—21no—
1048C4×Q8—24no—
1049C4×Q8—24no—
1050C4×Q8C2×D412yes—
1051C4×Q8C2×D412yes—
1052C4×Q8C2×D412yes—
1053C4×Q8C2×D412yes—
1054C4×Q8C2412yes—
1055C4×Q8C2412yes—
1056C4×Q8C2412yes—
1057C4×Q8C2412yes—
1058C4×Q8C2412yes—
1059C4×Q8C2412yes—
1060C4×Q8C2414yes—
1061C4×Q8C2412yes—
1062C4×Q8C2412yes—
1063C4×D4—24no—
1064C4×D4—22no—
1065C4×D4—22no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—22no—
1069C4×D4—24no—
1070C4×D4—22no—
1071C4×D4—22no—
1072C4×D4—22no—
1073C4×D4—22no—
1074C4×D4—22no—
1075C4×D4—22no—
1076C4×D4—22no—
1077C4×D4—22no—
1078C4×D4—24no—
1079C4×D4—22no—
1080C4×D4—22no—
1081C4×D4—22no—
1082C4×D4—22no—
1083C4×D4—22no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—22no—
1087C4×D4—22no—
1088C4×D4—22no—
1089C4×D4—24no—
1090C4×D4—24no—
1091C4×D4—24no—
1092C4×D4—24no—
1093C4×D4—24no—
1094C4×D4—24no—
1095C4×D4—24no—
1096C4×D4—28no—
1097C4×D4—28no—
1098C4×D4—28no—
1099C4×D4—21no—
1100C4×D4—21no—
1101C4×D4—24no—
1102C4×D4—22no—
1103C4×D4—22no—
1104C4×D4—22no—
1105C4×D4—22no—
1106C4×D4—21no—
1107C4×D4—21no—
1108C4×D4—21no—
1109C4×D4—24no—
1110C4×D4—22no—
1111C4×D4—22no—
1112C4×D4—21no—
1113C4×D4—21no—
1114C4×D4—21no—
1115C4×D4—24no—
1116C4×D4—24no—
1117C4×D4C2×D414yes—
1118C4×D4C2×D412yes—
1119C4×D4C2×D412yes—
1120C4×D4C2×D414yes—
1121C4×D4C2×D412yes—
1122C4×D4C2×D414yes—
1123C4×D4C2×D414yes—
1124C4×D4C2×D412yes—
1125C4×D4C2412yes—
1126C4×D4C2412yes—
1127C4×D4C2412yes—
1128C4×D4C2412yes—
1129C4×D4C2412yes—
1130C4×D4C2414yes—
1131C4×D4C2414yes—
1132C4×D4C2414yes—
1133C4×D4C2414yes—
1134C4×D4C2412yes—
1135C4×D4C2414yes—
1136C4×D4C2418yes—
1137C4×D4C2418yes—
1138C4×D4C2414yes—
1139C4×D4C2414yes—
1140C4×D4C2412yes—
1141C4×D4C2412yes—
1142#117—24no—
1143#117—21no—
1144#117—21no—
1145#117—22no—
1146#117—22no—
1147#117—21no—
1148#117—21no—
1149#117—24no—
1150#117—24no—
1151#117—24no—
1152#117—22no—
1153#117—24no—
1154#117—28no—
1155#117—24no—
1156#117—24no—
1157#117—22no—
1158#117—22no—
1159#117—22no—
1160#117—22no—
1161#117—22no—
1162#117—24no—
1163#117—22no—
1164#117—22no—
1165#117—24no—
1166#117C2×D414yes—
1167#117C2×D412yes—
1168#117C2×D412yes—
1169#117C2×D414yes—
1170#117C2412yes—
1171#117C2412yes—
1172#117C2414yes—
1173#117C2414yes—
1174#117C2412yes—
1175#117C2414yes—
1176#117C2418yes—
1177#117C2412yes—
1178#117C2414yes—
1179C2×C4⋊C4—21no—
1180C2×C4⋊C4—21no—
1181C2×C4⋊C4—21no—
1182C2×C4⋊C4—21no—
1183C2×C4⋊C4—22no—
1184C2×C4⋊C4—22no—
1185C2×C4⋊C4—21no—
1186C2×C4⋊C4—24no—
1187C2×C4⋊C4—24no—
1188C2×C4⋊C4—24no—
1189C2×C4⋊C4—24no—
1190C2×C4⋊C4—22no—
1191C2×C4⋊C4—22no—
1192C2×C4⋊C4—22no—
1193C2×C4⋊C4—24no—
1194C2×C4⋊C4—24no—
1195C2×C4⋊C4—28no—
1196C2×C4⋊C4C2411yescharacteristic
1197C2×C4⋊C4C2411yescharacteristic
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2414yes—
1202C2×C4⋊C4C2418yes—
1203C2×C22⋊C4—21no—
1204C2×C22⋊C4—22no—
1205C2×C22⋊C4—21no—
1206C2×C22⋊C4—21no—
1207C2×C22⋊C4—22no—
1208C2×C22⋊C4—24no—
1209C2×C22⋊C4—22no—
1210C2×C22⋊C4—24no—
1211C2×C22⋊C4—24no—
1212C2×C22⋊C4—24no—
1213C2×C22⋊C4—24no—
1214C2×C22⋊C4—24no—
1215C2×C22⋊C4—24no—
1216C2×C22⋊C4—28no—
1217C2×C42—21no—
1218C2×C42—22no—
1219C2×C42—21no—
1220C2×C42—21no—
1221C2×C42—22no—
1222C2×C42—24no—
1223C2×C42—22no—
1224C2×C42—22no—
1225C2×C42—22no—
1226C2×C42—22no—
1227C2×C42C2×D411yescharacteristic
1228C2×C42C2×D411yescharacteristic
1229C2×C42C2×D411yescharacteristic
1230C2×C42C2×D411yescharacteristic
1231C2×C42C2×D411yescharacteristic
1232C2×C42C2×D411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2414yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240#107C2414yes—
1241#107C2414yes—
1242#107C2418yes—
1243#107C2418yes—
1244#107C2418yes—
1245#107C2414yes—
1246#107C2414yes—
1247#107C2414yes—
1248#107C2414yes—
1249#106C2414yes—
1250#106C2414yes—
1251#106C2418yes—
1252#106C2414yes—
1253#106C2418yes—
1254#106C2414yes—
1255#106C2418yes—
1256#106C2414yes—
1257#106C2414yes—
1258C4⋊C8C2411yescharacteristic
1259C4⋊C8C2414yes—
1260C4⋊C8C2411yescharacteristic
1261C4⋊C8C2414yes—
1262C4⋊C8C2414yes—
1263C4⋊C8C2414yes—
1264C4⋊C8C2412yes—
1265C4⋊C8C2418yes—
1266C4⋊C8C2411yescharacteristic
1267C4⋊C8C2411yescharacteristic
1268C4⋊C8C2412yes—
1269C4⋊C8C2418yes—
1270#103C2414yes—
1271#103C2414yes—
1272#103C2414yes—
1273#103C2414yes—
1274#103C2418yes—
1275#103C2418yes—
1276#103C2418yes—
1277#103C2414yes—
1278#103C2414yes—
1279#102C2414yes—
1280#102C2414yes—
1281#102C2418yes—
1282#102C2414yes—
1283#102C2418yes—
1284#102C2414yes—
1285#102C2414yes—
1286#102C2414yes—
1287#102C2414yes—
1288#102C2418yes—
1289#102C2414yes—
1290#102C2414yes—
1291#102C2414yes—
1292#102C2418yes—
1293#102C2418yes—
1294C22⋊C8C2412yes—
1295C22⋊C8C2412yes—
1296C22⋊C8C2412yes—
1297C22⋊C8C2412yes—
1298C22⋊C8C2418yes—
1299C22⋊C8C2418yes—
1300#97C2418yes—
1301C4×C8C2412yes—
1302C4×C8C2412yes—
1303C4×C8C2412yes—
1304C4×C8C2412yes—
1305C4×C8C2418yes—
1306C24—21no—
1307C24—24no—
1308C24—22no—
1309C24C22×D411yescharacteristic
1310#41—24no—
1311#41—24no—
1312#41—24no—
1313#41—24no—
1314#41—28no—
1315#41—24no—
1316#41—24no—
1317#41—44no—
1318#41—42no—
1319#41—42no—
1320#41—44no—
1321#41—44no—
1322#41—44no—
1323#41—44no—
1324#41—48no—
1325#41—48no—
1326#41—82no—
1327#41—84no—
1328#41—88no—
1329#41—82no—
1330#41—88no—
1331#41—84no—
1332#41—816no—
1333#41—84no—
1334#41—88no—
1335C2×Q8—21no—
1336C2×Q8—21no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—21no—
1342C2×Q8—24no—
1343C2×Q8—22no—
1344C2×Q8—28no—
1345C2×Q8—22no—
1346C2×Q8—22no—
1347C2×Q8—22no—
1348C2×Q8—44no—
1349C2×Q8—82no—
1350C2×Q8—84no—
1351C2×Q8—88no—
1352C2×Q8—82no—
1353C2×Q8—88no—
1354C2×Q8C22×D412yes—
1355C2×Q8C22×D412yes—
1356C2×Q8C22×D412yes—
1357C2×Q8C2512yes—
1358C2×Q8C2512yes—
1359C2×D4—28no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—28no—
1369C2×D4—28no—
1370C2×D4—24no—
1371C2×D4—21no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—21no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—21no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—44no—
1384C2×D4—48no—
1385C2×D4—416no—
1386C2×D4—44no—
1387C2×D4—82no—
1388C2×D4—84no—
1389C2×D4—82no—
1390C2×D4—84no—
1391C2×D4C22×D414yes—
1392C2×D4C22×D412yes—
1393C2×D4C22×D412yes—
1394C2×D4C22×D412yes—
1395C2×D4C22×D414yes—
1396C2×D4C22×D414yes—
1397C2×D42−1+414yescomplemented
1398C2×D4C2512yes—
1399C2×D4C2514yes—
1400C2×D4C2512yes—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—21no—
1404C22×C4—22no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—28no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—24no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—24no—
1424C22×C4—28no—
1425C22×C4—24no—
1426C22×C4—28no—
1427C22×C4—24no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—44no—
1431C22×C4—82no—
1432C22×C4—88no—
1433C22×C4—82no—
1434C22×C4—84no—
1435C22×C4C22×D411yescharacteristic
1436C22×C4C22×D411yescharacteristic
1437C22×C4C22×D411yescharacteristic
1438C22×C4C22×D411yescharacteristic
1439C22×C4C22×D411yescharacteristic
1440C22×C4C22×D411yescharacteristic
1441C22×C4C22×D411yescharacteristic
1442C22×C4C22×D411yescharacteristic
1443C22×C4C22×D411yescharacteristic
1444C22×C4C22×D414yes—
1445C22×C4C22×D411yescharacteristic
1446C22×C4C22×D411yescharacteristic
1447C22×C4C22×D411yescharacteristic
1448C22×C4C22×D411yescharacteristic
1449C22×C4C22×D411yescharacteristic
1450C22×C4C22×D411yescharacteristic
1451C22×C4C22×D414yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2514yes—
1455C22×C4C2511yescharacteristic
1456SD16—44no—
1457SD16—44no—
1458SD16—48no—
1459D8—28no—
1460D8—28no—
1461D8—48no—
1462M16—28no—
1463M16—44no—
1464M16—48no—
1465C2×C8—24no—
1466C2×C8—24no—
1467C2×C8—44no—
1468C2×C8—48no—
1469C2×C8C2512yes—
1470C2×C8C2512yes—
1471C2×C8C2512yes—
1472C2×C8C2512yes—
1473C2×C8C2518yes—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—21no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—21no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—21no—
1485C4⋊C4—22no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—28no—
1500C4⋊C4—28no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—21no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—28no—
1513C4⋊C4—22no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—22no—
1517C4⋊C4C22×D414yes—
1518C4⋊C4C22×D412yes—
1519C4⋊C4C22×D414yes—
1520C4⋊C4C22×D412yes—
1521C4⋊C4C22×D414yes—
1522C4⋊C4C22×D412yes—
1523C4⋊C4C22×D414yes—
1524C4⋊C4C22×D412yes—
1525C4⋊C4C22×D414yes—
1526C4⋊C4C22×D412yes—
1527C4⋊C4C22×D414yes—
1528C4⋊C4C22×D412yes—
1529C4⋊C4C2514yes—
1530C4⋊C4C2514yes—
1531C4⋊C4C2514yes—
1532C4⋊C4C2512yes—
1533C4⋊C4C2512yes—
1534C4⋊C4C2512yes—
1535C4⋊C4C2512yes—
1536C22⋊C4—24no—
1537C22⋊C4—22no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—22no—
1542C22⋊C4—22no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—28no—
1548C22⋊C4—22no—
1549C22⋊C4—22no—
1550C22⋊C4—22no—
1551C22⋊C4—22no—
1552C22⋊C4—22no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—22no—
1556C22⋊C4—24no—
1557C22⋊C4—22no—
1558C22⋊C4—24no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—28no—
1567C22⋊C4—28no—
1568C22⋊C4—24no—
1569C22⋊C4—22no—
1570C22⋊C4—28no—
1571C22⋊C4—28no—
1572C22⋊C4C22×D414yes—
1573C22⋊C4C22×D414yes—
1574C22⋊C4C22×D414yes—
1575C22⋊C4C22×D414yes—
1576C22⋊C4C22×D414yes—
1577C22⋊C4C22×D414yes—
1578C22⋊C4C22×D414yes—
1579C22⋊C4C22×D414yes—
1580C22⋊C4C22×D414yes—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—24no—
1590C42—24no—
1591C42—24no—
1592C42—22no—
1593C42—24no—
1594C42—28no—
1595C42C22×D411yescharacteristic
1596C42C22×D411yescharacteristic
1597C42C22×D411yescharacteristic
1598C42C22×D411yescharacteristic
1599C42C22×D411yescharacteristic
1600C42C22×D414yes—
1601C42C22×D411yescharacteristic
1602C42C22×D411yescharacteristic
1603C42C22×D411yescharacteristic
1604C42C22×D411yescharacteristic
1605C42C22×D411yescharacteristic
1606C42C22×D411yescharacteristic
1607C42C22×D411yescharacteristic
1608C42C22×D414yes—
1609C42C2511yescharacteristic
1610C42C2511yescharacteristic
1611C42C2514yes—
1612C42C2511yescharacteristic
1613C42C2511yescharacteristic
1614C23—22no—
1615C23—22no—
1616C23—24no—
1617C23—22no—
1618C23—24no—
1619C23—41no—
1620C23—41no—
1621C23—48no—
1622C23—44no—
1623C23—81no—
1624C23—81no—
1625C23—82no—
1626C23—84no—
1627C23—82no—
1628C23—84no—
1629C23C23×D411yescharacteristic
1630C23C23×D414yes—
1631C23C23×D411yescharacteristic
1632C23C23×D411yescharacteristic
1633Q8—24no—
1634Q8—24no—
1635Q8—22no—
1636Q8—22no—
1637Q8—22no—
1638Q8—22no—
1639Q8—42no—
1640Q8—44no—
1641Q8—44no—
1642Q8—44no—
1643Q8—44no—
1644Q8—42no—
1645Q8—42no—
1646Q8—82no—
1647Q8—84no—
1648Q8—88no—
1649Q8—82no—
1650Q8—81no—
1651D4—28no—
1652D4—24no—
1653D4—24no—
1654D4—22no—
1655D4—22no—
1656D4—22no—
1657D4—24no—
1658D4—24no—
1659D4—24no—
1660D4—42no—
1661D4—44no—
1662D4—44no—
1663D4—48no—
1664D4—44no—
1665D4—48no—
1666D4—44no—
1667D4—44no—
1668D4—48no—
1669D4—44no—
1670D4—44no—
1671D4—42no—
1672D4—44no—
1673D4—82no—
1674D4—82no—
1675D4—81no—
1676D4—84no—
1677D4—84no—
1678D4—82no—
1679D4—88no—
1680D4—82no—
1681D4—88no—
1682D4C2×2−1+414yes—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—28no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—24no—
1694C2×C4—21no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—48no—
1718C2×C4—44no—
1719C2×C4—42no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—48no—
1724C2×C4—44no—
1725C2×C4—82no—
1726C2×C4—84no—
1727C2×C4—84no—
1728C2×C4—82no—
1729C2×C4—84no—
1730C2×C4—84no—
1731C2×C4—88no—
1732C2×C4—88no—
1733C2×C4—82no—
1734C2×C4—81no—
1735C2×C4—84no—
1736C2×C4—81no—
1737C2×C4—82no—
1738C2×C4—82no—
1739C2×C4—88no—
1740C2×C4C23×D411yescharacteristic
1741C2×C4C23×D414yes—
1742C2×C4C23×D411yescharacteristic
1743C2×C4C23×D411yescharacteristic
1744C2×C4C23×D411yescharacteristic
1745C2×C4C23×D411yescharacteristic
1746C2×C4C23×D414yes—
1747C2×C4C23×D411yescharacteristic
1748C2×C4C23×D411yescharacteristic
1749C2×C4C23×D411yescharacteristic
1750C2×C4C23×D414yes—
1751C2×C4C23×D411yescharacteristic
1752C2×C4C23×D411yescharacteristic
1753C2×C4C23×D411yescharacteristic
1754C2×C4C2×2−1+412yes—
1755C2×C4#58512yes—
1756C2×C4C2611yescharacteristic
1757C8—22no—
1758C8—22no—
1759C8—22no—
1760C8—22no—
1761C8—28no—
1762C22—21no—
1763C22—21no—
1764C22—21no—
1765C22—21no—
1766C22—24no—
1767C22—24no—
1768C22—21no—
1769C22—21no—
1770C22—24no—
1771C22—21no—
1772C22—21no—
1773C22—24no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—44no—
1778C22—42no—
1779C22—44no—
1780C22—44no—
1781C22—42no—
1782C22—82no—
1783C22—84no—
1784C22—164no—
1785C22—168no—
1786C22#348912yes—
1787C22C24×D411yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—24no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—24no—
1795C4—21no—
1796C4—21no—
1797C4—21no—
1798C4—24no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—42no—
1803C4—44no—
1804C4—44no—
1805C4—44no—
1806C4—42no—
1807C4—42no—
1808C4#348912yes—
1809C4#358412yes—
1810C4#358512yes—
1811C4C22×2−1+411yescharacteristic
1812C4C2×#58511yescharacteristic
1813C2—22no—
1814C2—41no—
1815C2—41no—
1816C2—44no—
1817C2—44no—
1818C2—84no—
1819C2—82no—
1820C2C2×#348911yescharacteristic
1821C2C2×#358411yescharacteristic
1822C2C2×#358511yescharacteristic
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. #62835C2semidirect
2. #62781C2semidirect
3. #62218C2semidirect
4. #62215C2semidirect
5. #62195C2semidirect
6. #62148C2semidirect
7. #62143C2semidirect
8. #62134C2semidirect
9. #62128C2semidirect
10. #62115C2semidirect
11. #62098C2semidirect
12. #61370C2semidirect
13. #61326C2semidirect
14. #61285C2semidirect
15. #61274C2semidirect
16. #61211C2semidirect
17. #61187C2semidirect
18. #60924C2semidirect
19. #60916C2semidirect
20. #60893C2semidirect
21. #60846C2semidirect
22. #60590C2semidirect
23. C2×#3106C2semidirect
24. #60495C2semidirect
25. #60484C2semidirect
26. #60268C2semidirect
28. #3559C22semidirect
32. #3547C22semidirect
36. #3521C22semidirect
39. #3515C22semidirect
41. #3514C22semidirect
42. #3511C22semidirect
43. #3511C22semidirect
44. #3508C22semidirect
50. #3503C22semidirect
52. #3501C22semidirect
53. #3499C22semidirect
56. #3494C22semidirect
62. #3482C22semidirect
64. #3481C22semidirect
66. #3475C22semidirect
71. C2×#533C22semidirect
72. C2×#532C22semidirect
76. #3389C22semidirect
77. #3384C22semidirect
78. #3384C22semidirect
79. #3380C22semidirect
80. #3380C22semidirect
81. Q8×D8C22semidirect
82. #3376C22semidirect
83. #3373C22semidirect
84. #3372C22semidirect
85. #3361C22semidirect
86. #3360C22semidirect
87. #3359C22semidirect
88. #3357C22semidirect
89. #3355C22semidirect
90. #3353C22semidirect
91. #3353C22semidirect
92. #3351C22semidirect
93. #3350C22semidirect
94. #3348C22semidirect
95. #3347C22semidirect
96. #3345C22semidirect
97. #3341C22semidirect
98. #3340C22semidirect
99. #3337C22semidirect
100. #3337C22semidirect
101. #3335C22semidirect
102. #3330C22semidirect
103. #3330C22semidirect
104. #3325C22semidirect
105. #3322C22semidirect
106. #3322C22semidirect
107. #3319C22semidirect
108. #3307C22semidirect
109. #3307C22semidirect
110. #3306C22semidirect
111. #3303C22semidirect
112. #3303C22semidirect
113. #3297C22semidirect
114. #3297C22semidirect
115. #3294C22semidirect
116. #3260C22semidirect
117. #3257C22semidirect
118. #3254C22semidirect
119. #3254C22semidirect
120. #3253C22semidirect
121. #3251C22semidirect
122. #3251C22semidirect
123. #3247C22semidirect
124. #3247C22semidirect
125. #3246C22semidirect
126. #3246C22semidirect
127. #3245C22semidirect
128. #3243C22semidirect
129. #3242C22semidirect
130. #3238C22semidirect
131. #3237C22semidirect
132. #3233C22semidirect
133. #3233C22semidirect
134. #3233C22semidirect
135. #3232C22semidirect
136. #3231C22semidirect
137. #3230C22semidirect
138. #3230C22semidirect
139. #3229C22semidirect
140. #3228C22semidirect
141. #3227C22semidirect
142. #3226C22semidirect
143. #3164C22semidirect
144. #3160C22semidirect
145. #3137C22semidirect
147. #3122C22semidirect
148. #3119C22semidirect
149. #3115C22semidirect
150. #3109C22semidirect
151. #3106C22semidirect
152. #3106C22semidirect
153. #3106C22semidirect
154. #3106C22semidirect
155. #3106C22semidirect
156. #3106C22semidirect
157. #3106C22semidirect
158. #3100C22semidirect
160. #3097C22semidirect
161. #3096C22semidirect
162. #3091C22semidirect
163. C2×#482C22semidirect
164. #3084C22semidirect
165. #3084C22semidirect
167. #3081C22semidirect
168. #3081C22semidirect
169. #3080C22semidirect
170. #3079C22semidirect
171. #3079C22semidirect
172. #3079C22semidirect
173. #3079C22semidirect
174. #3078C22semidirect
175. #3078C22semidirect
178. #3077C22semidirect
179. #3077C22semidirect
180. #3076C22semidirect
181. #3076C22semidirect
182. #3076C22semidirect
183. #3076C22semidirect
184. #3076C22semidirect
185. C2×#477C22semidirect
187. C2×#476C22semidirect
189. #3057C22semidirect
190. #3055C22semidirect
191. #3042C22semidirect
192. #3038C22semidirect
194. C2×#460C22semidirect
198. #2994C22semidirect
199. #2993C22semidirect
200. #2991C22semidirect
201. #2990C22semidirect
202. #2989C22semidirect
203. #2988C22semidirect
204. #2960C22semidirect
206. #2946C22semidirect
207. C2×C4×SD16C22semidirect
209. #2933C22semidirect
211. #2925C22semidirect
212. C2×#431C22semidirect
213. #2912C22semidirect
214. #2911C22semidirect
215. #2906C22semidirect
216. C2×#423C22semidirect
1397. C2×D42−1+4semidirect

Maximal subgroups

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

subgroupindex
#628352
#627812
#622182
#622152
#621952
#621482
#621432
#621342
#621282
#621152
#620982
#613702
#613262
#612852
#612742
#612112
#611872
#609242
#609162
#608932
#608462
#605902
C2×#31062
#604952
#604842
#602682