Finite Group Databasebeta

← #10582314

Subgroups — #10582314

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#62408C214yesmaximal, complemented
4#62355C214yesmaximal, complemented
5#62280C214yesmaximal, complemented
6#62269C214yesmaximal, complemented
7#62205C214yesmaximal, complemented
8#62166C214yesmaximal, complemented
9#62128C214yesmaximal, complemented
10#62112C212yesmaximal, complemented
11#62096C212yesmaximal, complemented
12#62057C214yesmaximal, complemented
13#62018C214yesmaximal, complemented
14#61978C214yesmaximal, complemented
15#61961C212yesmaximal, complemented
16#61953C212yesmaximal, complemented
17#60989C214yesmaximal, complemented
18#60968C211yesmaximal, characteristic, complemented
19#60950C211yesmaximal, characteristic, complemented
20#60929C214yesmaximal, complemented
21C2×#3247C211yesmaximal, characteristic, complemented
22C2×#3246C211yesmaximal, characteristic, complemented
23#60265C211yesmaximal, characteristic, complemented
24#3562—22no—
25#3561—21no—
26#3561—22no—
27#3560—22no—
28#3559—22no—
29#3559C2212yes—
30#3558—21no—
31#3558C2212yes—
32#3554—22no—
33#3554C2212yescomplemented
34#3552C2212yescomplemented
35#3550C2212yescomplemented
36#3548C2212yescomplemented
37#3547—22no—
38#3546C2212yescomplemented
39#3543C2212yescomplemented
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#3481C2214yescomplemented
59#3480C2212yes—
60D4×#41—22no—
61D4×#41C2212yes—
62#3460C2214yescomplemented
63#3459—22no—
64#3455—21no—
65#3449—21no—
66#3444C2211yescharacteristic
67C2×#533C2211yescharacteristic, complemented
68C2×#532C2211yescharacteristic
69C2×#532C2211yescharacteristic, complemented
70C2×#529C2211yescharacteristic
71#3401C2218yescomplemented
72#3399C2214yescomplemented
73#3396C2214yescomplemented
74#3387C2214yescomplemented
75#3384C2218yescomplemented
76Q8×SD16C2214yescomplemented
77#3376C2218yescomplemented
78#3375C2214yescomplemented
79#3373C2214yescomplemented
80#3373C2218yescomplemented
81#3365C2214yescomplemented
82#3362C2214yescomplemented
83#3356C2214yescomplemented
84#3346C2218yescomplemented
85#3345C2218yescomplemented
86#3345C2218yescomplemented
87#3335C2218yescomplemented
88#3335C2218yescomplemented
89#3335C2214yescomplemented
90#3333C2214yescomplemented
91#3332C2214yescomplemented
92#3316C2218yescomplemented
93#3316C2218yescomplemented
94#3307C2218yescomplemented
95#3306C2218yescomplemented
96#3306C2218yescomplemented
97#3306C2218yescomplemented
98#3304C2214yescomplemented
99#3301C2218yescomplemented
100#3297C2218yescomplemented
101#3295C2218yescomplemented
102#3295C2214yescomplemented
103#3294C2218yescomplemented
104#3287C2214yescomplemented
105#3282C2218yescomplemented
106#3282C2218yescomplemented
107#3274C2214yescomplemented
108#3267C2218yescomplemented
109#3265C2218yescomplemented
110#3264C2218yescomplemented
111#3263C2218yescomplemented
112#3263C2218yescomplemented
113#3257C2218yescomplemented
114#3257C2218yescomplemented
115#3253C2212yescomplemented
116#3253C2214yescomplemented
117#3253C2212yescomplemented
118#3252C2212yescomplemented
119#3252C2214yescomplemented
120#3252C2212yescomplemented
121#3247C2214yescomplemented
122#3247C2214yescomplemented
123#3247C2214yescomplemented
124#3247C2214yescomplemented
125#3247C2214yescomplemented
126#3246C2214yescomplemented
127#3246C2214yescomplemented
128#3246C2212yescomplemented
129#3246C2212yescomplemented
130#3246C2214yescomplemented
131#3246C2214yescomplemented
132#3244C2218yescomplemented
133#3238C2212yescomplemented
134#3238C2214yescomplemented
135#3236C2212yescomplemented
136#3227C2212yescomplemented
137#3227C2212yescomplemented
138#3227C2214yescomplemented
139#3224C2218yescomplemented
140#3218C2212yescomplemented
141#3215C2212yescomplemented
142#3214C2214yescomplemented
143#3212C2214yescomplemented
144#3205C2212yescomplemented
145#3205C2212yescomplemented
146#3204C2218yescomplemented
147#3198C2218yescomplemented
148#3195C2212yescomplemented
149#3193C2212yes—
150#3192C2214yescomplemented
151#3184C2214yescomplemented
152#3179C2218yescomplemented
153#3173C2218yescomplemented
154#3172C2214yescomplemented
155#3125C2218yescomplemented
156#3119C2218yescomplemented
157#3116C2214yescomplemented
158#3109C2214yescomplemented
159#3109C2214yescomplemented
160#3109C2214yescomplemented
161#3108C2214yescomplemented
162#3106C2214yescomplemented
163#3104C2212yescomplemented
164#3101C2212yescomplemented
165#3101C2214yescomplemented
166#3084C2218yescomplemented
167#3079C2214yescomplemented
168C2×#477C2211yescharacteristic, complemented
169C2×#475C2212yescomplemented
170C2×#478C2212yescomplemented
171C2×#476C2214yescomplemented
172C2×#476C2211yescharacteristic, complemented
173C2×#476C2212yescomplemented
174#3062C2218yescomplemented
175#3060C2218yescomplemented
176C2×#466C2212yes—
177C2×#465C2212yescomplemented
178C2×#465C2214yescomplemented
179#3045C2218yescomplemented
180#3036C2214yescomplemented
181#3035C2214yescomplemented
182C2×#460C2211yescharacteristic, complemented
183C2×#460C2212yescomplemented
184C2×#463C2212yescomplemented
185C2×#461C2212yescomplemented
186C2×#459C2211yescharacteristic, complemented
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×SD16C2314yes—
206C22×SD16C2312yes—
207C22×D8C2312yes—
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#559C2314yes—
228#559C2312yes—
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#554C2314yes—
246#554C2318yes—
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#550C2314yes—
263#550C2312yes—
264#550C2312yes—
265D4×Q8—22no—
266D4×Q8—22no—
267D4×Q8—22no—
268D4×Q8—24no—
269D4×Q8—22no—
270D4×Q8C2312yes—
271D4×Q8C2314yes—
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#547C2318yes—
290#547C2314yes—
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#533C2312yes—
374#533C2314yes—
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#532C2314yes—
394#532C2312yes—
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⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2314yes—
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×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×D4—21no—
469C2×C4×D4—24no—
470C2×C4×D4—21no—
471C2×C4×D4—21no—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×#117—21no—
477C2×#117—21no—
478C22×C42C2311yescharacteristic
479#501C2314yes—
480#501C2318yes—
481#498C2318yes—
482#498C2314yes—
483#497C2314yes—
484#496C2318yes—
485#495C2318yes—
486#493C2314yes—
487#491C2314yes—
488#489C2314yes—
489#489C2318yes—
490#489C2318yes—
491#488C2318yes—
492#486C2314yes—
493#486C2314yes—
494#486C2318yes—
495#485C2318yes—
496#484C2314yes—
497#483C2314yes—
498#483C2318yes—
499#483C2314yes—
500#483C2318yes—
501#482C2318yes—
502#481C2318yes—
503#481C2318yes—
504#481C2318yes—
505#481C2318yes—
506#481C2318yes—
507#480C2318yes—
508#480C2314yes—
509#479C2314yes—
510#479C2318yes—
511#479C2314yes—
512#478C2318yes—
513#478C2318yes—
514#478C2318yes—
515#477C2314yes—
516#477C2314yes—
517#477C2312yes—
518#477C2312yes—
519#476C2314yes—
520#476C2314yes—
521#476C2318yes—
522#476C2314yes—
523#476C2318yes—
524#476C2314yes—
525#476C2318yes—
526#476C2318yes—
527#476C2312yes—
528#476C2314yes—
529#476C2314yes—
530#476C2312yes—
531#476C2314yes—
532#476C2314yes—
533#475C2314yes—
534#475C2314yes—
535#475C2318yes—
536#475C2318yes—
537#475C2318yes—
538#474C2318yes—
539#470C2318yes—
540#470C2314yes—
541#470C2314yes—
542#469C2318yes—
543#469C2318yes—
544#469C2318yes—
545#469C2318yes—
546#468C2318yes—
547#468C2314yes—
548#468C2314yes—
549#466C2318yes—
550#466C2318yes—
551#466C2318yes—
552#465C2318yes—
553#465C2318yes—
554#465C2318yes—
555#465C2318yes—
556#465C2318yes—
557#465C2318yes—
558#465C2318yes—
559#465C2318yes—
560#465C2318yes—
561#464C2314yes—
562#464C2314yes—
563#464C2318yes—
564#464C2318yes—
565#463C2318yes—
566#463C2318yes—
567#463C2318yes—
568#463C2318yes—
569#463C2318yes—
570#463C2318yes—
571#462C2312yes—
572#462C2312yes—
573#461C2312yes—
574#461C2314yes—
575#461C2312yes—
576#461C2314yes—
577#461C2318yes—
578#460C2314yes—
579#460C2314yes—
580#460C2314yes—
581#460C2318yes—
582#460C2314yes—
583#460C2318yes—
584#459C2314yes—
585#459C2314yes—
586#459C2314yes—
587#459C2314yes—
588#459C2314yes—
589#459C2314yes—
590#459C2318yes—
591#452C2318yes—
592#452C2318yes—
593#451C2314yes—
594#451C2314yes—
595#450C2314yes—
596#450C2318yes—
597#449C2318yes—
598#449C2318yes—
599#449C2318yes—
600#449C2318yes—
601#448C2314yes—
602#447C2318yes—
603#447C2318yes—
604#447C2318yes—
605#446C2314yes—
606#446C2318yes—
607C8×Q8C2314yes—
608#442C2318yes—
609#442C2318yes—
610#442C2318yes—
611#442C2318yes—
612#441C2318yes—
613#440C2318yes—
614C4×Q16C2314yes—
615C4×Q16C2314yes—
616C4×SD16C2314yes—
617C4×SD16C2314yes—
618C4×SD16C2318yes—
619C4×SD16C2318yes—
620C4×SD16C2318yes—
621C4×D8C2318yes—
622#436C2314yes—
623#435C2318yes—
624#435C2318yes—
625#435C2318yes—
626C8×D4C2318yes—
627C8×D4C2318yes—
628C8×D4C2314yes—
629#433C2318yes—
630#432C2312yes—
631#432C2312yes—
632#432C2314yes—
633#431C2312yes—
634#431C2314yes—
635#431C2312yes—
636#428C2318yes—
637C2×#107C2312yes—
638C2×#106C2312yes—
639C2×#106C2314yes—
640C2×#106C2318yes—
641#424C2318yes—
642#424C2314yes—
643#423C2314yes—
644#423C2311yescharacteristic
645#423C2311yescharacteristic
646C2×C4⋊C8C2312yes—
647C2×C4⋊C8C2312yes—
648C2×C4⋊C8C2311yescharacteristic
649C2×C4⋊C8C2312yes—
650C2×C4⋊C8C2312yes—
651C2×C4⋊C8C2311yescharacteristic
652C2×C4⋊C8C2312yes—
653C2×C4⋊C8C2314yes—
654#417C2318yes—
655#417C2318yes—
656#416C2318yes—
657C2×#103C2314yes—
658C2×#103C2312yes—
659C2×#102C2312yes—
660C2×#102C2312yes—
661C2×#102C2312yes—
662C2×#102C2314yes—
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—88no—
686C2×#41—84no—
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×Q16C2414yes—
724C2×Q16C2414yes—
725C2×SD16—82no—
726C2×SD16—84no—
727C2×SD16C2418yes—
728C2×SD16C2418yes—
729C2×SD16C2418yes—
730C2×SD16C2414yes—
731C2×SD16C2414yes—
732C2×D8—82no—
733C2×D8C2418yes—
734C2×D8C2418yes—
735C2×D8C2418yes—
736#131—84no—
737C2×M16C2412yes—
738C2×M16C2418yes—
739C2×M16C2412yes—
740C22×C8—82no—
741C22×C8C2414yes—
742C22×C8C2412yes—
743C22×C8C2412yes—
744C22×C8C2414yes—
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#107C2414yes—
1169#106C2418yes—
1170#106C2418yes—
1171#106C2414yes—
1172#106C2418yes—
1173#106C2418yes—
1174#106C2418yes—
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#103C2414yes—
1192#103C2414yes—
1193#103C2414yes—
1194#103C2414yes—
1195#103C2414yes—
1196#103C2414yes—
1197#102C2418yes—
1198#102C2414yes—
1199#102C2418yes—
1200#102C2418yes—
1201#102C2418yes—
1202#102C2418yes—
1203#102C2418yes—
1204#102C2418yes—
1205#102C2418yes—
1206#102C2414yes—
1207#102C2418yes—
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—48no—
1226#41—44no—
1227#41—48no—
1228#41—44no—
1229#41—48no—
1230#41—48no—
1231#41—84no—
1232#41—88no—
1233#41—84no—
1234#41—84no—
1235#41—84no—
1236#41—84no—
1237#41—88no—
1238#41—816no—
1239#41—84no—
1240#41—84no—
1241#41—84no—
1242#41—88no—
1243#41—88no—
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—44no—
1255C2×Q8—41no—
1256C2×Q8—42no—
1257C2×Q8—41no—
1258C2×Q8—42no—
1259C2×Q8—82no—
1260C2×Q8—84no—
1261C2×Q8—82no—
1262C2×Q8—88no—
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—41no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—41no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—82no—
1305C2×D4—82no—
1306C2×D4—84no—
1307C2×D4—82no—
1308C2×D4—88no—
1309C2×D4—88no—
1310C2×D4—82no—
1311C2×D4—84no—
1312C2×D4—84no—
1313C2×D4C22×D414yes—
1314C2×D4C22×D412yes—
1315C2×D4C22×D414yes—
1316C2×D4C22×D412yes—
1317C2×D4C22×D414yes—
1318C2×D4C22×D412yes—
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—88no—
1350C22×C4—84no—
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—44no—
1373Q16—44no—
1374SD16—48no—
1375SD16—48no—
1376SD16—48no—
1377SD16—44no—
1378SD16—44no—
1379D8—48no—
1380D8—48no—
1381D8—48no—
1382M16—42no—
1383M16—42no—
1384M16—48no—
1385C2×C8—44no—
1386C2×C8—42no—
1387C2×C8—42no—
1388C2×C8—44no—
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⋊C4C2514yes—
1447C4⋊C4C2512yes—
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—42no—
1526C23—44no—
1527C23—82no—
1528C23—82no—
1529C23—84no—
1530C23—82no—
1531C23—82no—
1532C23—81no—
1533C23—84no—
1534C23—81no—
1535C23—84no—
1536C23C23×D411yescharacteristic
1537C23C23×D414yes—
1538C23C23×D411yescharacteristic
1539C23C23×D411yescharacteristic
1540Q8—24no—
1541Q8—24no—
1542Q8—22no—
1543Q8—24no—
1544Q8—22no—
1545Q8—42no—
1546Q8—42no—
1547Q8—44no—
1548Q8—44no—
1549Q8—44no—
1550Q8—44no—
1551Q8—81no—
1552Q8—82no—
1553Q8—88no—
1554Q8—82no—
1555Q8—84no—
1556Q8—82no—
1557D4—28no—
1558D4—28no—
1559D4—22no—
1560D4—24no—
1561D4—24no—
1562D4—24no—
1563D4—24no—
1564D4—22no—
1565D4—24no—
1566D4—42no—
1567D4—44no—
1568D4—42no—
1569D4—44no—
1570D4—44no—
1571D4—48no—
1572D4—48no—
1573D4—44no—
1574D4—44no—
1575D4—44no—
1576D4—82no—
1577D4—81no—
1578D4—82no—
1579D4—84no—
1580D4—82no—
1581D4—82no—
1582D4—84no—
1583D4—82no—
1584D4—84no—
1585D4—82no—
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—48no—
1627C2×C4—44no—
1628C2×C4—42no—
1629C2×C4—44no—
1630C2×C4—44no—
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—82no—
1645C2×C4—81no—
1646C2×C4—88no—
1647C2×C4#57714yes—
1648C2×C4C23×D411yescharacteristic
1649C2×C4C23×D414yes—
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×D411yescharacteristic
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—162no—
1689C22—164no—
1690C22—168no—
1691C22C2×#57712yes—
1692C22#358512yes—
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×#57712yes—
1714C4C2×#57712yes—
1715C4H(7,𝔽2)11yescharacteristic
1716C42−1+611yescharacteristic
1717C2—22no—
1718C2—22no—
1719C2—41no—
1720C2—44no—
1721C2—84no—
1722C2—84no—
1723C2—82no—
1724C2#6285311yescharacteristic
1725C2C22×#57711yescharacteristic
1726C2C2×#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. #62748C2semidirect
3. #62408C2semidirect
4. #62355C2semidirect
5. #62280C2semidirect
6. #62269C2semidirect
7. #62205C2semidirect
8. #62166C2semidirect
9. #62128C2semidirect
10. #62112C2semidirect
11. #62096C2semidirect
12. #62057C2semidirect
13. #62018C2semidirect
14. #61978C2semidirect
15. #61961C2semidirect
16. #61953C2semidirect
17. #60989C2semidirect
18. #60968C2semidirect
19. #60950C2semidirect
20. #60929C2semidirect
21. C2×#3247C2semidirect
22. C2×#3246C2semidirect
23. #60265C2semidirect
33. #3554C22semidirect
34. #3552C22semidirect
35. #3550C22semidirect
36. #3548C22semidirect
38. #3546C22semidirect
39. #3543C22semidirect
42. #3536C22semidirect
45. #3522C22semidirect
46. #3520C22semidirect
47. #3511C22semidirect
48. #3511C22semidirect
49. #3508C22semidirect
52. #3503C22semidirect
54. #3499C22semidirect
58. #3481C22semidirect
62. #3460C22semidirect
67. C2×#533C22semidirect
69. C2×#532C22semidirect
71. #3401C22semidirect
72. #3399C22semidirect
73. #3396C22semidirect
74. #3387C22semidirect
75. #3384C22semidirect
76. Q8×SD16C22semidirect
77. #3376C22semidirect
78. #3375C22semidirect
79. #3373C22semidirect
80. #3373C22semidirect
81. #3365C22semidirect
82. #3362C22semidirect
83. #3356C22semidirect
84. #3346C22semidirect
85. #3345C22semidirect
86. #3345C22semidirect
87. #3335C22semidirect
88. #3335C22semidirect
89. #3335C22semidirect
90. #3333C22semidirect
91. #3332C22semidirect
92. #3316C22semidirect
93. #3316C22semidirect
94. #3307C22semidirect
95. #3306C22semidirect
96. #3306C22semidirect
97. #3306C22semidirect
98. #3304C22semidirect
99. #3301C22semidirect
100. #3297C22semidirect
101. #3295C22semidirect
102. #3295C22semidirect
103. #3294C22semidirect
104. #3287C22semidirect
105. #3282C22semidirect
106. #3282C22semidirect
107. #3274C22semidirect
108. #3267C22semidirect
109. #3265C22semidirect
110. #3264C22semidirect
111. #3263C22semidirect
112. #3263C22semidirect
113. #3257C22semidirect
114. #3257C22semidirect
115. #3253C22semidirect
116. #3253C22semidirect
117. #3253C22semidirect
118. #3252C22semidirect
119. #3252C22semidirect
120. #3252C22semidirect
121. #3247C22semidirect
122. #3247C22semidirect
123. #3247C22semidirect
124. #3247C22semidirect
125. #3247C22semidirect
126. #3246C22semidirect
127. #3246C22semidirect
128. #3246C22semidirect
129. #3246C22semidirect
130. #3246C22semidirect
131. #3246C22semidirect
132. #3244C22semidirect
133. #3238C22semidirect
134. #3238C22semidirect
135. #3236C22semidirect
136. #3227C22semidirect
137. #3227C22semidirect
138. #3227C22semidirect
139. #3224C22semidirect
140. #3218C22semidirect
141. #3215C22semidirect
142. #3214C22semidirect
143. #3212C22semidirect
144. #3205C22semidirect
145. #3205C22semidirect
146. #3204C22semidirect
147. #3198C22semidirect
148. #3195C22semidirect
150. #3192C22semidirect
151. #3184C22semidirect
152. #3179C22semidirect
153. #3173C22semidirect
154. #3172C22semidirect
155. #3125C22semidirect
156. #3119C22semidirect
157. #3116C22semidirect
158. #3109C22semidirect
159. #3109C22semidirect
160. #3109C22semidirect
161. #3108C22semidirect
162. #3106C22semidirect
163. #3104C22semidirect
164. #3101C22semidirect
165. #3101C22semidirect
166. #3084C22semidirect
167. #3079C22semidirect
168. C2×#477C22semidirect
169. C2×#475C22semidirect
170. C2×#478C22semidirect
171. C2×#476C22semidirect
172. C2×#476C22semidirect
173. C2×#476C22semidirect
174. #3062C22semidirect
175. #3060C22semidirect
177. C2×#465C22semidirect
178. C2×#465C22semidirect
179. #3045C22semidirect
180. #3036C22semidirect
181. #3035C22semidirect
182. C2×#460C22semidirect
183. C2×#460C22semidirect
184. C2×#463C22semidirect
185. C2×#461C22semidirect
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
#624082
#623552
#622802
#622692
#622052
#621662
#621282
#621122
#620962
#620572
#620182
#619782
#619612
#619532
#609892
#609682
#609502
#609292
C2×#32472
C2×#32462
#602652