Finite Group Databasebeta

← #10582316

Subgroups — #10582316

Order 512.

6229 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62835C211yesmaximal, characteristic, complemented
2#62748C211yesmaximal, characteristic, complemented
3#62403C214yesmaximal, complemented
4#62353C214yesmaximal, complemented
5#62280C214yesmaximal, complemented
6#62272C214yesmaximal, complemented
7#62201C214yesmaximal, complemented
8#62170C214yesmaximal, complemented
9#62127C214yesmaximal, complemented
10#62111C212yesmaximal, complemented
11#62095C212yesmaximal, complemented
12#62053C214yesmaximal, complemented
13#62022C214yesmaximal, complemented
14#61977C214yesmaximal, complemented
15#61962C212yesmaximal, complemented
16#61954C212yesmaximal, complemented
17#60988C214yesmaximal, complemented
18#60969C211yesmaximal, characteristic, complemented
19#60949C211yesmaximal, characteristic, complemented
20#60928C214yesmaximal, complemented
21C2×#3248C211yesmaximal, characteristic, complemented
22C2×#3245C211yesmaximal, characteristic, complemented
23#60265C211yesmaximal, characteristic, complemented
24#3562—22no—
25#3561—21no—
26#3561—22no—
27#3560—22no—
28#3559—22no—
29#3559C2212yescomplemented
30#3558—21no—
31#3558C2212yescomplemented
32#3554—22no—
33#3554C2212yescomplemented
34#3552C2212yes—
35#3550C2212yescomplemented
36#3548C2212yescomplemented
37#3547—22no—
38#3546C2212yescomplemented
39#3543C2212yes—
40#3537C2212yes—
41#3536C2212yes—
42#3536C2214yescomplemented
43#3534—22no—
44#3529—22no—
45#3522C2214yescomplemented
46#3520C2214yescomplemented
47#3511C2212yescomplemented
48#3511C2214yescomplemented
49#3508C2212yescomplemented
50#3507—21no—
51#3506—21no—
52#3503C2212yescomplemented
53#3501—21no—
54#3499C2212yescomplemented
55#3497—21no—
56#3494—22no—
57#3489—22no—
58#3481C2214yes—
59#3480C2212yescomplemented
60D4×#41—22no—
61D4×#41C2212yescomplemented
62#3460C2214yescomplemented
63#3459—22no—
64#3455—21no—
65#3449—21no—
66#3444C2211yescharacteristic
67C2×#533C2211yescharacteristic, complemented
68C2×#532C2211yescharacteristic
69C2×#532C2211yescharacteristic, complemented
70C2×#529C2211yescharacteristic
71#3403C2218yescomplemented
72#3397C2214yescomplemented
73#3394C2214yescomplemented
74#3386C2214yescomplemented
75#3385C2218yescomplemented
76Q8×D8C2214yescomplemented
77#3375C2218yescomplemented
78#3373C2214yescomplemented
79#3370C2218yescomplemented
80#3367C2214yescomplemented
81#3364C2214yescomplemented
82#3358C2214yescomplemented
83#3353C2214yescomplemented
84#3346C2218yescomplemented
85#3346C2218yescomplemented
86#3345C2218yescomplemented
87#3338C2218yescomplemented
88#3334C2218yescomplemented
89#3334C2214yescomplemented
90#3332C2214yescomplemented
91#3330C2214yescomplemented
92#3314C2218yescomplemented
93#3314C2218yescomplemented
94#3314C2218yescomplemented
95#3309C2218yescomplemented
96#3308C2218yescomplemented
97#3308C2218yescomplemented
98#3302C2214yescomplemented
99#3301C2218yescomplemented
100#3297C2218yescomplemented
101#3295C2218yescomplemented
102#3294C2218yescomplemented
103#3294C2214yescomplemented
104#3285C2218yescomplemented
105#3284C2214yescomplemented
106#3280C2218yescomplemented
107#3272C2214yescomplemented
108#3268C2218yescomplemented
109#3265C2218yescomplemented
110#3264C2218yescomplemented
111#3262C2218yescomplemented
112#3262C2218yescomplemented
113#3257C2218yescomplemented
114#3257C2218yescomplemented
115#3254C2212yescomplemented
116#3254C2214yescomplemented
117#3254C2212yescomplemented
118#3251C2212yescomplemented
119#3251C2214yescomplemented
120#3251C2212yescomplemented
121#3248C2214yescomplemented
122#3248C2214yescomplemented
123#3248C2214yescomplemented
124#3248C2214yescomplemented
125#3248C2214yescomplemented
126#3245C2214yescomplemented
127#3245C2214yescomplemented
128#3245C2212yescomplemented
129#3245C2212yescomplemented
130#3245C2214yescomplemented
131#3245C2214yescomplemented
132#3243C2218yescomplemented
133#3239C2212yescomplemented
134#3239C2214yescomplemented
135#3234C2212yescomplemented
136#3230C2212yescomplemented
137#3226C2212yescomplemented
138#3226C2214yescomplemented
139#3224C2218yescomplemented
140#3217C2212yescomplemented
141#3214C2214yescomplemented
142#3213C2212yescomplemented
143#3212C2214yescomplemented
144#3208C2212yescomplemented
145#3206C2212yescomplemented
146#3203C2218yescomplemented
147#3198C2218yescomplemented
148#3193C2212yescomplemented
149#3193C2214yescomplemented
150#3192C2212yes—
151#3182C2214yescomplemented
152#3179C2218yescomplemented
153#3175C2218yescomplemented
154#3171C2214yescomplemented
155#3124C2218yescomplemented
156#3119C2218yescomplemented
157#3115C2214yescomplemented
158#3112C2214yescomplemented
159#3110C2214yescomplemented
160#3110C2214yescomplemented
161#3107C2214yescomplemented
162#3105C2214yescomplemented
163#3103C2212yescomplemented
164#3100C2212yescomplemented
165#3100C2214yescomplemented
166#3083C2218yescomplemented
167#3079C2214yescomplemented
168C2×#479C2212yescomplemented
169C2×#475C2211yescharacteristic, complemented
170C2×#474C2214yescomplemented
171C2×#474C2211yescharacteristic, complemented
172C2×#474C2212yescomplemented
173C2×#474C2212yescomplemented
174#3062C2218yescomplemented
175#3061C2218yescomplemented
176C2×#467C2212yescomplemented
177C2×#466C2214yescomplemented
178C2×#465C2212yes—
179#3045C2218yescomplemented
180#3036C2214yescomplemented
181#3035C2214yescomplemented
182C2×#464C2212yescomplemented
183C2×#462C2211yescharacteristic, complemented
184C2×#461C2211yescharacteristic, complemented
185C2×#459C2212yescomplemented
186C2×#459C2212yescomplemented
187#2994C2214yescomplemented
188#2992C2214yescomplemented
189#2990C2214yescomplemented
190#2989C2212yescomplemented
191#2988C2212yescomplemented
192#2962C2212yescomplemented
193#2935C2212yescomplemented
194#2929C2214yescomplemented
195#2925C2212yescomplemented
196#2920C2211yescharacteristic, complemented
197#2906C2212yescomplemented
198C22×C4⋊C8C2211yescharacteristic, complemented
199C2×2−1+4—22no—
200C22×#41—22no—
201C22×#41—21no—
202C22×#41—21no—
203C2×AGL(1,ℤ/8)C2318yes—
204C2×#135C2318yes—
205C22×Q16C2312yes—
206C22×SD16C2312yes—
207C22×D8C2314yes—
208C2×#131C2314yes—
209C23×C8C2312yes—
210#563—24no—
211#563—22no—
212#563—24no—
213#562—22no—
214#562—22no—
215#562—24no—
216#562—24no—
217#562—28no—
218#562—24no—
219H(3,𝔽4)—22no—
220#560—24no—
221#560—24no—
222#560—24no—
223#559—24no—
224#559—22no—
225#559—22no—
226#559C2314yes—
227#559C2312yes—
228#559C2314yes—
229Q82C2314yes—
230#557—22no—
231#557C2312yes—
232#556—22no—
233#556—22no—
234#556—24no—
235#556C2314yes—
236#556C2312yes—
237#555—24no—
238#555—22no—
239#554—22no—
240#554—24no—
241#554—22no—
242#554—24no—
243#554C2314yes—
244#554C2314yes—
245#554C2318yes—
246#554C2314yes—
247#553—24no—
248#553—24no—
249#553—24no—
250#553—24no—
251#553—24no—
252#553C2314yes—
253#553C2314yes—
254#553C2314yes—
255#552—24no—
256#551—28no—
257#551—24no—
258#551—24no—
259#550—22no—
260#550—22no—
261#550—22no—
262#550C2312yes—
263#550C2314yes—
264#550C2312yes—
265D4×Q8—22no—
266D4×Q8—22no—
267D4×Q8—22no—
268D4×Q8—24no—
269D4×Q8—22no—
270D4×Q8C2314yes—
271D4×Q8C2312yes—
272#548—24no—
273#548—22no—
274#548—22no—
275#548—22no—
276#548—24no—
277#548—24no—
278#548C2314yes—
279#548C2318yes—
280#547—24no—
281#547—28no—
282#547—22no—
283#547—24no—
284#547—24no—
285#547—22no—
286#547C2314yes—
287#547C2312yes—
288#547C2314yes—
289#547C2314yes—
290#547C2318yes—
291#546—24no—
292#546—24no—
293#546—22no—
294#546—22no—
295#546—24no—
296#546—28no—
297#546—24no—
298#546—22no—
299#546—24no—
300#546C2314yes—
301#546C2314yes—
302#546C2318yes—
303D42—22no—
304D42—24no—
305D42C2314yes—
306D42C2312yes—
307D42C2314yes—
308#544—22no—
309#544—24no—
310#544C2314yes—
311#543—22no—
312#543—24no—
313#542—22no—
314#542—22no—
315#542—28no—
316#542—24no—
317#542—24no—
318#542—24no—
319#542C2314yes—
320#542C2314yes—
321#542C2318yes—
322#542C2318yes—
323#541—22no—
324#540—22no—
325#540—24no—
326#540—24no—
327#540—24no—
328#540C2314yes—
329#540C2314yes—
330#539—24no—
331#539—28no—
332#539—24no—
333#539—24no—
334#539—22no—
335#539—22no—
336#539—24no—
337#538—24no—
338#538—24no—
339#538—22no—
340#538—22no—
341#538—22no—
342#538—22no—
343#538—24no—
344#538—24no—
345#538—24no—
346#537—22no—
347#537—22no—
348#537—22no—
349#537—24no—
350#537—24no—
351#537C2318yes—
352#537C2314yes—
353#536—22no—
354#536—22no—
355#536—24no—
356#536—22no—
357#536—24no—
358#535—22no—
359#535—22no—
360#535—22no—
361#535C2314yes—
362#535C2314yes—
363#534—24no—
364#534—22no—
365#534—22no—
366#534—22no—
367#533—21no—
368#533—21no—
369#533—21no—
370#533—21no—
371#533D411yescharacteristic
372#533D411yescharacteristic
373#533C2314yes—
374#533C2312yes—
375#533C2312yes—
376#533C2312yes—
377#533C2312yes—
378#533C2311yescharacteristic
379#532—22no—
380#532—24no—
381#532—24no—
382#532—21no—
383#532—21no—
384#532—21no—
385#532—21no—
386#532—21no—
387#532—21no—
388#532—21no—
389#532—21no—
390#532D411yescharacteristic
391#532D411yescharacteristic
392#532C2314yes—
393#532C2312yes—
394#532C2314yes—
395#532C2312yes—
396#532C2312yes—
397#532C2312yes—
398#532C2312yes—
399#532C2312yes—
400#532C2312yes—
401#532C2312yes—
402#532C2314yes—
403#532C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2314yes—
407C2×C4⋊Q8C2311yescharacteristic
408C2×C4⋊Q8C2311yescharacteristic
409C2×#127C2311yescharacteristic
410C2×#127C2311yescharacteristic
411#529—24no—
412#529—24no—
413#529—24no—
414#529—24no—
415#529—21no—
416#529—21no—
417#529—21no—
418#529—21no—
419#529D412yes—
420#529D412yes—
421#529D412yes—
422#529D412yes—
423#529C2312yes—
424#529C2312yes—
425#529C2312yes—
426#529C2312yes—
427#529C2314yes—
428#529C2312yes—
429#529C2312yes—
430C2×#126—21no—
431C2×#125—21no—
432C2×#125C2311yescharacteristic
433C2×#124—21no—
434C2×#124—21no—
435C2×#124C2311yescharacteristic
436#525—24no—
437#525—24no—
438#525—24no—
439#525—24no—
440#525—24no—
441#525—22no—
442#525—24no—
443#525D412yes—
444#525D412yes—
445#525C2312yes—
446C2×#123—21no—
447C2×C22⋊Q8—21no—
448C2×C22⋊Q8—24no—
449C2×C22⋊Q8C2311yescharacteristic
450C2×C22⋊Q8C2312yes—
451C2×#121—21no—
452C2×#121—21no—
453C2×#121C2311yescharacteristic
454C2×#121C2312yes—
455C2×#121C2312yes—
456#520—22no—
457#520—22no—
458#520C2318yes—
459#518—22no—
460C4×#41—22no—
461C4×#41C2314yes—
462C4×#41C2312yes—
463C4×#41C2312yes—
464C4×#41C2312yes—
465C2×C4×Q8—21no—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2312yes—
468C2×C4×D4—21no—
469C2×C4×D4—24no—
470C2×C4×D4—21no—
471C2×C4×D4—21no—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×#117—21no—
477C2×#117—21no—
478C22×C42C2311yescharacteristic
479#501C2318yes—
480#501C2314yes—
481#500C2318yes—
482#500C2314yes—
483#496C2318yes—
484#496C2314yes—
485#495C2318yes—
486#492C2314yes—
487#490C2314yes—
488#489C2318yes—
489#489C2318yes—
490#489C2314yes—
491#488C2318yes—
492#487C2314yes—
493#486C2314yes—
494#486C2318yes—
495#485C2318yes—
496#484C2318yes—
497#484C2314yes—
498#484C2318yes—
499#484C2318yes—
500#482C2318yes—
501#481C2318yes—
502#481C2314yes—
503#481C2314yes—
504#480C2314yes—
505#480C2318yes—
506#480C2318yes—
507#480C2318yes—
508#480C2318yes—
509#479C2318yes—
510#479C2318yes—
511#479C2318yes—
512#478C2314yes—
513#478C2318yes—
514#478C2314yes—
515#477C2318yes—
516#477C2318yes—
517#477C2314yes—
518#477C2314yes—
519#476C2318yes—
520#475C2314yes—
521#475C2314yes—
522#475C2312yes—
523#475C2312yes—
524#474C2314yes—
525#474C2318yes—
526#474C2314yes—
527#474C2318yes—
528#474C2314yes—
529#474C2314yes—
530#474C2314yes—
531#474C2318yes—
532#474C2318yes—
533#474C2318yes—
534#474C2312yes—
535#474C2314yes—
536#474C2314yes—
537#474C2312yes—
538#474C2314yes—
539#469C2318yes—
540#469C2314yes—
541#469C2314yes—
542#468C2318yes—
543#468C2318yes—
544#468C2318yes—
545#468C2314yes—
546#468C2314yes—
547#468C2318yes—
548#468C2318yes—
549#467C2318yes—
550#467C2318yes—
551#467C2318yes—
552#466C2318yes—
553#466C2318yes—
554#466C2318yes—
555#466C2318yes—
556#466C2318yes—
557#466C2318yes—
558#465C2318yes—
559#465C2318yes—
560#465C2318yes—
561#464C2318yes—
562#464C2318yes—
563#464C2318yes—
564#464C2318yes—
565#463C2314yes—
566#463C2314yes—
567#463C2318yes—
568#463C2318yes—
569#463C2318yes—
570#463C2318yes—
571#462C2314yes—
572#462C2314yes—
573#461C2314yes—
574#461C2314yes—
575#461C2314yes—
576#461C2314yes—
577#460C2312yes—
578#460C2312yes—
579#460C2314yes—
580#460C2314yes—
581#460C2318yes—
582#459C2314yes—
583#459C2312yes—
584#459C2314yes—
585#459C2312yes—
586#459C2314yes—
587#459C2318yes—
588#459C2318yes—
589#459C2314yes—
590#459C2318yes—
591#452C2318yes—
592#452C2318yes—
593#450C2314yes—
594#450C2318yes—
595#450C2318yes—
596#449C2318yes—
597#449C2318yes—
598#449C2318yes—
599#449C2318yes—
600#448C2314yes—
601#448C2318yes—
602#447C2314yes—
603#447C2318yes—
604#447C2314yes—
605#446C2314yes—
606#446C2318yes—
607C8×Q8C2314yes—
608#442C2318yes—
609#440C2318yes—
610#440C2318yes—
611#440C2318yes—
612#440C2318yes—
613#440C2318yes—
614C4×Q16C2318yes—
615C4×SD16C2314yes—
616C4×SD16C2314yes—
617C4×SD16C2318yes—
618C4×D8C2314yes—
619C4×D8C2314yes—
620C4×D8C2318yes—
621C4×D8C2318yes—
622#436C2314yes—
623#435C2318yes—
624#435C2318yes—
625#435C2318yes—
626C8×D4C2318yes—
627C8×D4C2314yes—
628C8×D4C2318yes—
629#433C2318yes—
630#432C2312yes—
631#432C2314yes—
632#432C2312yes—
633#431C2312yes—
634#431C2314yes—
635#431C2312yes—
636#428C2318yes—
637C2×#107C2312yes—
638C2×#107C2318yes—
639C2×#107C2314yes—
640C2×#106C2312yes—
641#424C2318yes—
642#424C2314yes—
643#423C2314yes—
644#423C2311yescharacteristic
645#423C2311yescharacteristic
646C2×C4⋊C8C2311yescharacteristic
647C2×C4⋊C8C2312yes—
648C2×C4⋊C8C2312yes—
649C2×C4⋊C8C2312yes—
650C2×C4⋊C8C2311yescharacteristic
651C2×C4⋊C8C2312yes—
652C2×C4⋊C8C2312yes—
653C2×C4⋊C8C2314yes—
654#417C2318yes—
655#417C2318yes—
656#416C2318yes—
657C2×#103C2312yes—
658C2×#103C2312yes—
659C2×#103C2312yes—
660C2×#102C2314yes—
661C2×#102C2314yes—
662C2×#102C2312yes—
663C2×#102C2318yes—
664#408C2314yes—
665#407C2312yes—
666#405C2314yes—
667C4×M16C2312yes—
6682−1+4—88no—
669C2×#41—22no—
670C2×#41—24no—
671C2×#41—28no—
672C2×#41—22no—
673C2×#41—24no—
674C2×#41—22no—
675C2×#41—22no—
676C2×#41—24no—
677C2×#41—22no—
678C2×#41—22no—
679C2×#41—22no—
680C2×#41—22no—
681C2×#41—22no—
682C2×#41—22no—
683C2×#41—24no—
684C2×#41—84no—
685C2×#41—84no—
686C2×#41—88no—
687C2×#41C2×D412yes—
688C2×#41C2×D412yes—
689C2×#41C2414yes—
690C2×#41C2418yes—
691C2×#41C2412yes—
692C22×Q8—24no—
693C22×Q8—22no—
694C22×Q8—21no—
695C22×Q8—21no—
696C22×Q8—21no—
697C22×Q8—24no—
698C22×Q8C2411yescharacteristic
699C22×Q8C2412yes—
700C22×D4—21no—
701C22×D4—22no—
702C22×D4—22no—
703C22×D4—24no—
704C22×D4—24no—
705C22×D4—22no—
706C22×D4—21no—
707C22×D4—21no—
708C22×D4—21no—
709C22×D4—21no—
710C22×D4C2411yescharacteristic
711C22×D4C2412yes—
712C22×D4C2412yes—
713C22×D4C2414yes—
714C23×C4—21no—
715C23×C4—22no—
716C23×C4—22no—
717C23×C4—24no—
718C23×C4C2×D411yescharacteristic
719C23×C4C2×D411yescharacteristic
720C23×C4C2411yescharacteristic
721AGL(1,ℤ/8)—88no—
722#135—88no—
723C2×Q16—82no—
724C2×Q16C2418yes—
725C2×SD16—82no—
726C2×SD16C2418yes—
727C2×SD16C2414yes—
728C2×SD16C2418yes—
729C2×SD16C2418yes—
730C2×SD16C2414yes—
731C2×D8—84no—
732C2×D8C2418yes—
733C2×D8C2418yes—
734C2×D8C2414yes—
735C2×D8C2414yes—
736#131—84no—
737C2×M16C2412yes—
738C2×M16C2418yes—
739C2×M16C2412yes—
740C22×C8—82no—
741C22×C8C2414yes—
742C22×C8C2414yes—
743C22×C8C2412yes—
744C22×C8C2412yes—
745C22×C8C2418yes—
746C4⋊Q8—22no—
747C4⋊Q8—24no—
748C4⋊Q8—24no—
749C4⋊Q8—28no—
750C4⋊Q8—21no—
751C4⋊Q8—21no—
752C4⋊Q8—21no—
753C4⋊Q8—21no—
754C4⋊Q8—21no—
755C4⋊Q8—21no—
756C4⋊Q8—21no—
757C4⋊Q8—21no—
758C4⋊Q8—24no—
759C4⋊Q8—24no—
760C4⋊Q8C2×D411yescharacteristic
761C4⋊Q8C2×D411yescharacteristic
762C4⋊Q8C2×D411yescharacteristic
763C4⋊Q8C2412yes—
764C4⋊Q8C2412yes—
765C4⋊Q8C2412yes—
766C4⋊Q8C2412yes—
767C4⋊Q8C2412yes—
768C4⋊Q8C2412yes—
769C4⋊Q8C2412yes—
770C4⋊Q8C2412yes—
771C4⋊Q8C2418yes—
772C4⋊Q8C2414yes—
773#127—22no—
774#127—24no—
775#127—24no—
776#127—21no—
777#127—21no—
778#127—21no—
779#127—21no—
780#127C2×D411yescharacteristic
781#127C2412yes—
782#127C2412yes—
783#127C2412yes—
784#127C2412yes—
785#127C2414yes—
786#126—24no—
787#126—24no—
788#126—24no—
789#126—24no—
790#126—24no—
791#126—28no—
792#126—28no—
793#126—28no—
794#126—24no—
795#126—22no—
796#126—22no—
797#126—22no—
798#126—22no—
799#126—24no—
800#126C2×D414yes—
801#126C2×D414yes—
802#125—24no—
803#125—24no—
804#125—24no—
805#125—24no—
806#125—28no—
807#125—22no—
808#125—22no—
809#125—22no—
810#125—22no—
811#125—21no—
812#125—21no—
813#125—24no—
814#125C2×D412yes—
815#125C2×D412yes—
816#125C2×D412yes—
817#125C2412yes—
818#125C2412yes—
819#125C2414yes—
820#124—24no—
821#124—24no—
822#124—24no—
823#124—22no—
824#124—22no—
825#124—24no—
826#124—24no—
827#124—24no—
828#124—28no—
829#124—28no—
830#124—28no—
831#124—22no—
832#124—22no—
833#124—22no—
834#124—22no—
835#124—22no—
836#124—22no—
837#124—22no—
838#124—22no—
839#124—21no—
840#124—21no—
841#124—24no—
842#124—24no—
843#124C2×D412yes—
844#124C2×D412yes—
845#124C2×D412yes—
846#124C2412yes—
847#124C2412yes—
848#124C2414yes—
849#124C2418yes—
850#123—22no—
851#123—22no—
852#123—22no—
853#123—22no—
854#123—24no—
855#123—24no—
856#123—24no—
857#123—24no—
858#123—24no—
859#123—24no—
860#123—24no—
861#123—24no—
862#123—24no—
863#123—24no—
864#123—28no—
865#123—28no—
866#123—24no—
867#123—24no—
868#123—24no—
869#123—24no—
870#123—24no—
871#123—24no—
872#123—28no—
873#123—24no—
874#123—24no—
875#123—28no—
876#123—28no—
877#123—28no—
878#123—28no—
879#123—28no—
880#123C2×D414yes—
881#123C2×D414yes—
882#123C2×D414yes—
883C22⋊Q8—24no—
884C22⋊Q8—24no—
885C22⋊Q8—24no—
886C22⋊Q8—28no—
887C22⋊Q8—22no—
888C22⋊Q8—22no—
889C22⋊Q8—22no—
890C22⋊Q8—22no—
891C22⋊Q8—21no—
892C22⋊Q8—21no—
893C22⋊Q8—22no—
894C22⋊Q8—22no—
895C22⋊Q8—24no—
896C22⋊Q8—24no—
897C22⋊Q8—28no—
898C22⋊Q8—24no—
899C22⋊Q8—24no—
900C22⋊Q8—24no—
901C22⋊Q8—24no—
902C22⋊Q8—24no—
903C22⋊Q8—24no—
904C22⋊Q8—22no—
905C22⋊Q8—22no—
906C22⋊Q8—24no—
907C22⋊Q8—24no—
908C22⋊Q8—28no—
909C22⋊Q8—28no—
910C22⋊Q8—28no—
911C22⋊Q8—28no—
912C22⋊Q8—28no—
913C22⋊Q8—24no—
914C22⋊Q8—24no—
915C22⋊Q8—24no—
916C22⋊Q8—24no—
917C22⋊Q8—28no—
918C22⋊Q8—28no—
919C22⋊Q8C2×D412yes—
920C22⋊Q8C2×D412yes—
921C22⋊Q8C2×D412yes—
922C22⋊Q8C2×D412yes—
923C22⋊Q8C2×D412yes—
924C22⋊Q8C2×D412yes—
925C22⋊Q8C2412yes—
926C22⋊Q8C2412yes—
927C22⋊Q8C2414yes—
928C22⋊Q8C2414yes—
929C22⋊Q8C2414yes—
930C22⋊Q8C2418yes—
931#121—24no—
932#121—24no—
933#121—24no—
934#121—24no—
935#121—24no—
936#121—24no—
937#121—24no—
938#121—28no—
939#121—24no—
940#121—28no—
941#121—28no—
942#121—28no—
943#121—22no—
944#121—22no—
945#121—22no—
946#121—22no—
947#121—22no—
948#121—22no—
949#121—22no—
950#121—22no—
951#121—21no—
952#121—21no—
953#121—22no—
954#121—22no—
955#121—22no—
956#121—22no—
957#121—24no—
958#121—24no—
959#121—24no—
960#121—24no—
961#121—24no—
962#121—24no—
963#121—22no—
964#121—22no—
965#121—24no—
966#121—24no—
967#121—24no—
968#121—24no—
969#121—24no—
970#121—24no—
971#121—24no—
972#121—24no—
973#121—24no—
974#121—24no—
975#121—28no—
976#121—28no—
977#121C2×D412yes—
978#121C2×D412yes—
979#121C2×D412yes—
980#121C2×D412yes—
981#121C2×D412yes—
982#121C2×D412yes—
983#121C2412yes—
984#121C2412yes—
985#121C2414yes—
986#121C2414yes—
987#121C2414yes—
988#121C2414yes—
989#121C2414yes—
990#121C2414yes—
991#121C2414yes—
992#121C2418yes—
993#120—24no—
994#120—24no—
995#120—24no—
996#120—28no—
997#120—24no—
998#120—24no—
999#120—24no—
1000#120—24no—
1001#120—24no—
1002#120—24no—
1003#120—24no—
1004#120—24no—
1005#120C2×D414yes—
1006C4×Q8—24no—
1007C4×Q8—22no—
1008C4×Q8—22no—
1009C4×Q8—22no—
1010C4×Q8—22no—
1011C4×Q8—22no—
1012C4×Q8—22no—
1013C4×Q8—21no—
1014C4×Q8—21no—
1015C4×Q8—22no—
1016C4×Q8—22no—
1017C4×Q8—24no—
1018C4×Q8C2×D412yes—
1019C4×Q8C2×D412yes—
1020C4×Q8C2×D412yes—
1021C4×Q8C2×D412yes—
1022C4×Q8C2412yes—
1023C4×Q8C2414yes—
1024C4×Q8C2412yes—
1025C4×Q8C2414yes—
1026C4×Q8C2414yes—
1027C4×Q8C2418yes—
1028C4×Q8C2412yes—
1029C4×Q8C2412yes—
1030C4×D4—24no—
1031C4×D4—28no—
1032C4×D4—24no—
1033C4×D4—22no—
1034C4×D4—24no—
1035C4×D4—22no—
1036C4×D4—22no—
1037C4×D4—22no—
1038C4×D4—24no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—22no—
1042C4×D4—22no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—24no—
1053C4×D4—22no—
1054C4×D4—22no—
1055C4×D4—22no—
1056C4×D4—22no—
1057C4×D4—22no—
1058C4×D4—22no—
1059C4×D4—22no—
1060C4×D4—22no—
1061C4×D4—21no—
1062C4×D4—24no—
1063C4×D4—22no—
1064C4×D4—21no—
1065C4×D4—22no—
1066C4×D4—22no—
1067C4×D4—22no—
1068C4×D4—24no—
1069C4×D4—24no—
1070C4×D4—24no—
1071C4×D4—24no—
1072C4×D4C2×D414yes—
1073C4×D4C2×D412yes—
1074C4×D4C2×D412yes—
1075C4×D4C2×D414yes—
1076C4×D4C2×D414yes—
1077C4×D4C2×D414yes—
1078C4×D4C2×D412yes—
1079C4×D4C2×D412yes—
1080C4×D4C2412yes—
1081C4×D4C2414yes—
1082C4×D4C2414yes—
1083C4×D4C2412yes—
1084C4×D4C2414yes—
1085C4×D4C2414yes—
1086C4×D4C2414yes—
1087C4×D4C2414yes—
1088C4×D4C2414yes—
1089C4×D4C2418yes—
1090C4×D4C2414yes—
1091C4×D4C2414yes—
1092C4×D4C2412yes—
1093C4×D4C2412yes—
1094#117—22no—
1095#117—22no—
1096#117—22no—
1097#117—22no—
1098#117—24no—
1099#117—24no—
1100#117—28no—
1101#117—22no—
1102#117—22no—
1103#117—22no—
1104#117—22no—
1105#117—24no—
1106#117—24no—
1107#117C2×D412yes—
1108#117C2×D412yes—
1109#117C2×D414yes—
1110#117C2×D414yes—
1111#117C2414yes—
1112#117C2414yes—
1113#117C2412yes—
1114C2×C4⋊C4—21no—
1115C2×C4⋊C4—21no—
1116C2×C4⋊C4—21no—
1117C2×C4⋊C4—21no—
1118C2×C4⋊C4—21no—
1119C2×C4⋊C4—21no—
1120C2×C4⋊C4—21no—
1121C2×C4⋊C4—21no—
1122C2×C4⋊C4—22no—
1123C2×C4⋊C4—22no—
1124C2×C4⋊C4—21no—
1125C2×C4⋊C4—24no—
1126C2×C4⋊C4—24no—
1127C2×C4⋊C4—24no—
1128C2×C4⋊C4—28no—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2418yes—
1136C2×C22⋊C4—22no—
1137C2×C22⋊C4—21no—
1138C2×C22⋊C4—21no—
1139C2×C22⋊C4—21no—
1140C2×C22⋊C4—22no—
1141C2×C22⋊C4—22no—
1142C2×C22⋊C4—21no—
1143C2×C22⋊C4—22no—
1144C2×C22⋊C4—22no—
1145C2×C22⋊C4—21no—
1146C2×C22⋊C4—24no—
1147C2×C22⋊C4—24no—
1148C2×C22⋊C4—24no—
1149C2×C22⋊C4—28no—
1150C2×C42—21no—
1151C2×C42—22no—
1152C2×C42—24no—
1153C2×C42C2×D411yescharacteristic
1154C2×C42C2×D411yescharacteristic
1155C2×C42C2×D411yescharacteristic
1156C2×C42C2×D411yescharacteristic
1157C2×C42C2×D411yescharacteristic
1158C2×C42C2×D411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2414yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166#107C2418yes—
1167#107C2414yes—
1168#107C2418yes—
1169#107C2418yes—
1170#107C2418yes—
1171#107C2418yes—
1172#107C2414yes—
1173#106C2418yes—
1174#106C2414yes—
1175#106C2414yes—
1176C4⋊C8C2412yes—
1177C4⋊C8C2412yes—
1178C4⋊C8C2414yes—
1179C4⋊C8C2412yes—
1180C4⋊C8C2414yes—
1181C4⋊C8C2412yes—
1182C4⋊C8C2412yes—
1183C4⋊C8C2418yes—
1184C4⋊C8C2412yes—
1185C4⋊C8C2418yes—
1186C4⋊C8C2412yes—
1187C4⋊C8C2412yes—
1188#103C2418yes—
1189#103C2418yes—
1190#103C2418yes—
1191#103C2418yes—
1192#103C2414yes—
1193#103C2414yes—
1194#103C2418yes—
1195#102C2418yes—
1196#102C2414yes—
1197#102C2418yes—
1198#102C2418yes—
1199#102C2418yes—
1200#102C2418yes—
1201#102C2418yes—
1202#102C2414yes—
1203#102C2414yes—
1204#102C2414yes—
1205#102C2414yes—
1206#102C2418yes—
1207#102C2414yes—
1208C22⋊C8C2414yes—
1209C22⋊C8C2414yes—
1210C22⋊C8C2418yes—
1211C22⋊C8C2418yes—
1212#97C2414yes—
1213#97C2418yes—
1214C4×C8C2414yes—
1215C4×C8C2418yes—
1216C24—22no—
1217C24—21no—
1218C24—22no—
1219C24—24no—
1220C24C22×D411yescharacteristic
1221#41—28no—
1222#41—42no—
1223#41—42no—
1224#41—44no—
1225#41—44no—
1226#41—48no—
1227#41—48no—
1228#41—44no—
1229#41—48no—
1230#41—48no—
1231#41—84no—
1232#41—84no—
1233#41—88no—
1234#41—84no—
1235#41—84no—
1236#41—84no—
1237#41—84no—
1238#41—88no—
1239#41—88no—
1240#41—816no—
1241#41—84no—
1242#41—88no—
1243#41—84no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—21no—
1249C2×Q8—22no—
1250C2×Q8—24no—
1251C2×Q8—28no—
1252C2×Q8—22no—
1253C2×Q8—22no—
1254C2×Q8—42no—
1255C2×Q8—41no—
1256C2×Q8—41no—
1257C2×Q8—42no—
1258C2×Q8—44no—
1259C2×Q8—82no—
1260C2×Q8—82no—
1261C2×Q8—88no—
1262C2×Q8—84no—
1263C2×Q8—88no—
1264C2×Q8C22×D412yes—
1265C2×Q8C22×D412yes—
1266C2×Q8C22×D412yes—
1267C2×Q8C2512yes—
1268C2×Q8C2514yes—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—21no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—24no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—41no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—41no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—82no—
1305C2×D4—82no—
1306C2×D4—82no—
1307C2×D4—84no—
1308C2×D4—88no—
1309C2×D4—88no—
1310C2×D4—82no—
1311C2×D4—84no—
1312C2×D4—84no—
1313C2×D4C22×D414yes—
1314C2×D4C22×D414yes—
1315C2×D4C22×D412yes—
1316C2×D4C22×D412yes—
1317C2×D4C22×D412yes—
1318C2×D4C22×D414yes—
1319C2×D4C2514yes—
1320C2×D4C2512yes—
1321C2×D4C2514yes—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—22no—
1327C22×C4—21no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—28no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—28no—
1339C22×C4—24no—
1340C22×C4—28no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—42no—
1347C22×C4—44no—
1348C22×C4—84no—
1349C22×C4—84no—
1350C22×C4—88no—
1351C22×C4C22×D411yescharacteristic
1352C22×C4C22×D411yescharacteristic
1353C22×C4C22×D411yescharacteristic
1354C22×C4C22×D411yescharacteristic
1355C22×C4C22×D411yescharacteristic
1356C22×C4C22×D411yescharacteristic
1357C22×C4C22×D411yescharacteristic
1358C22×C4C22×D414yes—
1359C22×C4C22×D411yescharacteristic
1360C22×C4C22×D411yescharacteristic
1361C22×C4C22×D411yescharacteristic
1362C22×C4C22×D411yescharacteristic
1363C22×C4C22×D411yescharacteristic
1364C22×C4C22×D411yescharacteristic
1365C22×C4C22×D411yescharacteristic
1366C22×C4C22×D414yes—
1367C22×C4C22×D411yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2514yes—
1371C22×C4C2511yescharacteristic
1372Q16—48no—
1373SD16—48no—
1374SD16—44no—
1375SD16—48no—
1376SD16—44no—
1377SD16—48no—
1378D8—48no—
1379D8—48no—
1380D8—44no—
1381D8—44no—
1382M16—42no—
1383M16—42no—
1384M16—48no—
1385C2×C8—44no—
1386C2×C8—44no—
1387C2×C8—42no—
1388C2×C8—42no—
1389C2×C8—48no—
1390C2×C8C2514yes—
1391C2×C8C2514yes—
1392C2×C8C2514yes—
1393C2×C8C2514yes—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—28no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—28no—
1416C4⋊C4—28no—
1417C4⋊C4—28no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4C22×D412yes—
1432C4⋊C4C22×D414yes—
1433C4⋊C4C22×D414yes—
1434C4⋊C4C22×D412yes—
1435C4⋊C4C22×D414yes—
1436C4⋊C4C22×D412yes—
1437C4⋊C4C22×D412yes—
1438C4⋊C4C22×D414yes—
1439C4⋊C4C22×D414yes—
1440C4⋊C4C22×D414yes—
1441C4⋊C4C22×D412yes—
1442C4⋊C4C22×D412yes—
1443C4⋊C4C2514yes—
1444C4⋊C4C2514yes—
1445C4⋊C4C2512yes—
1446C4⋊C4C2512yes—
1447C4⋊C4C2514yes—
1448C22⋊C4—24no—
1449C22⋊C4—22no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—22no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—28no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—22no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—28no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4C22×D414yes—
1484C22⋊C4C22×D414yes—
1485C22⋊C4C22×D414yes—
1486C22⋊C4C22×D414yes—
1487C22⋊C4C22×D414yes—
1488C22⋊C4C22×D414yes—
1489C22⋊C4C22×D414yes—
1490C22⋊C4C22×D414yes—
1491C22⋊C4C22×D414yes—
1492C42—22no—
1493C42—24no—
1494C42—22no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—28no—
1499C42C22×D414yes—
1500C42C22×D411yescharacteristic
1501C42C22×D411yescharacteristic
1502C42C22×D411yescharacteristic
1503C42C22×D411yescharacteristic
1504C42C22×D411yescharacteristic
1505C42C22×D411yescharacteristic
1506C42C22×D411yescharacteristic
1507C42C22×D411yescharacteristic
1508C42C22×D411yescharacteristic
1509C42C22×D411yescharacteristic
1510C42C22×D411yescharacteristic
1511C42C22×D411yescharacteristic
1512C42C22×D414yes—
1513C42C2511yescharacteristic
1514C42C2514yes—
1515C42C2511yescharacteristic
1516C42C2511yescharacteristic
1517C42C2511yescharacteristic
1518C23—22no—
1519C23—22no—
1520C23—24no—
1521C23—22no—
1522C23—24no—
1523C23—41no—
1524C23—44no—
1525C23—44no—
1526C23—42no—
1527C23—82no—
1528C23—82no—
1529C23—84no—
1530C23—81no—
1531C23—82no—
1532C23—82no—
1533C23—84no—
1534C23—81no—
1535C23—84no—
1536C23C23×D411yescharacteristic
1537C23C23×D414yes—
1538C23C23×D411yescharacteristic
1539C23C23×D411yescharacteristic
1540Q8—24no—
1541Q8—24no—
1542Q8—22no—
1543Q8—22no—
1544Q8—24no—
1545Q8—42no—
1546Q8—42no—
1547Q8—44no—
1548Q8—44no—
1549Q8—44no—
1550Q8—44no—
1551Q8—81no—
1552Q8—82no—
1553Q8—88no—
1554Q8—82no—
1555Q8—82no—
1556Q8—84no—
1557D4—28no—
1558D4—28no—
1559D4—24no—
1560D4—24no—
1561D4—22no—
1562D4—22no—
1563D4—24no—
1564D4—24no—
1565D4—24no—
1566D4—42no—
1567D4—42no—
1568D4—44no—
1569D4—44no—
1570D4—44no—
1571D4—44no—
1572D4—48no—
1573D4—48no—
1574D4—44no—
1575D4—44no—
1576D4—82no—
1577D4—82no—
1578D4—81no—
1579D4—84no—
1580D4—82no—
1581D4—82no—
1582D4—84no—
1583D4—82no—
1584D4—82no—
1585D4—84no—
1586D4—82no—
1587D4—84no—
1588D4—84no—
1589D4—84no—
1590D4—84no—
1591D4—84no—
1592D4—88no—
1593D4—84no—
1594D4—88no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—24no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—28no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—44no—
1626C2×C4—42no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—48no—
1631C2×C4—48no—
1632C2×C4—84no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—84no—
1636C2×C4—84no—
1637C2×C4—88no—
1638C2×C4—88no—
1639C2×C4—84no—
1640C2×C4—82no—
1641C2×C4—82no—
1642C2×C4—84no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—82no—
1646C2×C4—88no—
1647C2×C4#57614yes—
1648C2×C4C23×D411yescharacteristic
1649C2×C4C23×D411yescharacteristic
1650C2×C4C23×D414yes—
1651C2×C4C23×D414yes—
1652C2×C4C23×D411yescharacteristic
1653C2×C4C23×D411yescharacteristic
1654C2×C4C23×D411yescharacteristic
1655C2×C4C23×D411yescharacteristic
1656C2×C4C23×D411yescharacteristic
1657C2×C4C23×D411yescharacteristic
1658C2×C4C23×D411yescharacteristic
1659C2×C4C23×D414yes—
1660C2×C4C23×D411yescharacteristic
1661C2×C4C23×D411yescharacteristic
1662C2×C4C2611yescharacteristic
1663C8—24no—
1664C8—24no—
1665C8—24no—
1666C8—24no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—24no—
1673C22—21no—
1674C22—24no—
1675C22—21no—
1676C22—24no—
1677C22—44no—
1678C22—42no—
1679C22—44no—
1680C22—44no—
1681C22—44no—
1682C22—44no—
1683C22—42no—
1684C22—44no—
1685C22—44no—
1686C22—42no—
1687C22—164no—
1688C22—164no—
1689C22—162no—
1690C22—168no—
1691C22C2×#57612yes—
1692C22#358612yes—
1693C22C24×D411yescharacteristic
1694C4—21no—
1695C4—21no—
1696C4—24no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—21no—
1701C4—24no—
1702C4—21no—
1703C4—21no—
1704C4—21no—
1705C4—24no—
1706C4—42no—
1707C4—44no—
1708C4—44no—
1709C4—44no—
1710C4—42no—
1711C4—42no—
1712C4—44no—
1713C4C2×#57612yes—
1714C4C2×#57612yes—
1715C4H(7,𝔽2)11yescharacteristic
1716C42−1+611yescharacteristic
1717C2—22no—
1718C2—22no—
1719C2—41no—
1720C2—44no—
1721C2—84no—
1722C2—84no—
1723C2—82no—
1724C2#6285311yescharacteristic
1725C2C22×#57611yescharacteristic
1726C2C2×#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. #62835C2semidirect
2. #62748C2semidirect
3. #62403C2semidirect
4. #62353C2semidirect
5. #62280C2semidirect
6. #62272C2semidirect
7. #62201C2semidirect
8. #62170C2semidirect
9. #62127C2semidirect
10. #62111C2semidirect
11. #62095C2semidirect
12. #62053C2semidirect
13. #62022C2semidirect
14. #61977C2semidirect
15. #61962C2semidirect
16. #61954C2semidirect
17. #60988C2semidirect
18. #60969C2semidirect
19. #60949C2semidirect
20. #60928C2semidirect
21. C2×#3248C2semidirect
22. C2×#3245C2semidirect
23. #60265C2semidirect
29. #3559C22semidirect
31. #3558C22semidirect
33. #3554C22semidirect
35. #3550C22semidirect
36. #3548C22semidirect
38. #3546C22semidirect
42. #3536C22semidirect
45. #3522C22semidirect
46. #3520C22semidirect
47. #3511C22semidirect
48. #3511C22semidirect
49. #3508C22semidirect
52. #3503C22semidirect
54. #3499C22semidirect
59. #3480C22semidirect
61. D4×#41C22semidirect
62. #3460C22semidirect
67. C2×#533C22semidirect
69. C2×#532C22semidirect
71. #3403C22semidirect
72. #3397C22semidirect
73. #3394C22semidirect
74. #3386C22semidirect
75. #3385C22semidirect
76. Q8×D8C22semidirect
77. #3375C22semidirect
78. #3373C22semidirect
79. #3370C22semidirect
80. #3367C22semidirect
81. #3364C22semidirect
82. #3358C22semidirect
83. #3353C22semidirect
84. #3346C22semidirect
85. #3346C22semidirect
86. #3345C22semidirect
87. #3338C22semidirect
88. #3334C22semidirect
89. #3334C22semidirect
90. #3332C22semidirect
91. #3330C22semidirect
92. #3314C22semidirect
93. #3314C22semidirect
94. #3314C22semidirect
95. #3309C22semidirect
96. #3308C22semidirect
97. #3308C22semidirect
98. #3302C22semidirect
99. #3301C22semidirect
100. #3297C22semidirect
101. #3295C22semidirect
102. #3294C22semidirect
103. #3294C22semidirect
104. #3285C22semidirect
105. #3284C22semidirect
106. #3280C22semidirect
107. #3272C22semidirect
108. #3268C22semidirect
109. #3265C22semidirect
110. #3264C22semidirect
111. #3262C22semidirect
112. #3262C22semidirect
113. #3257C22semidirect
114. #3257C22semidirect
115. #3254C22semidirect
116. #3254C22semidirect
117. #3254C22semidirect
118. #3251C22semidirect
119. #3251C22semidirect
120. #3251C22semidirect
121. #3248C22semidirect
122. #3248C22semidirect
123. #3248C22semidirect
124. #3248C22semidirect
125. #3248C22semidirect
126. #3245C22semidirect
127. #3245C22semidirect
128. #3245C22semidirect
129. #3245C22semidirect
130. #3245C22semidirect
131. #3245C22semidirect
132. #3243C22semidirect
133. #3239C22semidirect
134. #3239C22semidirect
135. #3234C22semidirect
136. #3230C22semidirect
137. #3226C22semidirect
138. #3226C22semidirect
139. #3224C22semidirect
140. #3217C22semidirect
141. #3214C22semidirect
142. #3213C22semidirect
143. #3212C22semidirect
144. #3208C22semidirect
145. #3206C22semidirect
146. #3203C22semidirect
147. #3198C22semidirect
148. #3193C22semidirect
149. #3193C22semidirect
151. #3182C22semidirect
152. #3179C22semidirect
153. #3175C22semidirect
154. #3171C22semidirect
155. #3124C22semidirect
156. #3119C22semidirect
157. #3115C22semidirect
158. #3112C22semidirect
159. #3110C22semidirect
160. #3110C22semidirect
161. #3107C22semidirect
162. #3105C22semidirect
163. #3103C22semidirect
164. #3100C22semidirect
165. #3100C22semidirect
166. #3083C22semidirect
167. #3079C22semidirect
168. C2×#479C22semidirect
169. C2×#475C22semidirect
170. C2×#474C22semidirect
171. C2×#474C22semidirect
172. C2×#474C22semidirect
173. C2×#474C22semidirect
174. #3062C22semidirect
175. #3061C22semidirect
176. C2×#467C22semidirect
177. C2×#466C22semidirect
179. #3045C22semidirect
180. #3036C22semidirect
181. #3035C22semidirect
182. C2×#464C22semidirect
183. C2×#462C22semidirect
184. C2×#461C22semidirect
185. C2×#459C22semidirect
186. C2×#459C22semidirect
187. #2994C22semidirect
188. #2992C22semidirect
189. #2990C22semidirect
190. #2989C22semidirect
191. #2988C22semidirect
192. #2962C22semidirect
193. #2935C22semidirect
194. #2929C22semidirect
195. #2925C22semidirect
196. #2920C22semidirect
197. #2906C22semidirect
198. C22×C4⋊C8C22semidirect

Maximal subgroups

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

subgroupindex
#628352
#627482
#624032
#623532
#622802
#622722
#622012
#621702
#621272
#621112
#620952
#620532
#620222
#619772
#619622
#619542
#609882
#609692
#609492
#609282
C2×#32482
C2×#32452
#602652