Finite Group Databasebeta

← #6369034

Subgroups — #6369034

Order 512.

1707 conjugacy classes of subgroups.

The subgroup lattice has 1633 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62550C211yesmaximal, characteristic, complemented
2#62431C211yesmaximal, characteristic, complemented
3#62431C211yesmaximal, characteristic, complemented
4#62430C211yesmaximal, characteristic, complemented
5#20282C211yesmaximal, characteristic, complemented
6#20272C211yesmaximal, characteristic, complemented
7#20266C211yesmaximal, characteristic, complemented
8#20256C211yesmaximal, characteristic, complemented
9#20202C211yesmaximal, characteristic, complemented
10#20192C211yesmaximal, characteristic, complemented
11#20170C211yesmaximal, characteristic, complemented
12#20160C211yesmaximal, characteristic, complemented
13#19874C211yesmaximal, characteristic, complemented
14#19871C211yesmaximal, characteristic, complemented
15#19868C211yesmaximal, characteristic, complemented
16#19867C211yesmaximal, characteristic, complemented
17#19762C211yesmaximal, characteristic, complemented
18#19759C211yesmaximal, characteristic, complemented
19#19756C211yesmaximal, characteristic, complemented
20#19755C211yesmaximal, characteristic, complemented
21C2×#1721C211yesmaximal, characteristic, complemented
22#19364C211yesmaximal, characteristic, complemented
23#19353C211yesmaximal, characteristic, complemented
24#19353C211yesmaximal, characteristic, complemented
25#19352C211yesmaximal, characteristic, complemented
26#18694C211yesmaximal, characteristic, complemented
27#18689C211yesmaximal, characteristic, complemented
28#18682C211yesmaximal, characteristic, complemented
29#18682C211yesmaximal, characteristic, complemented
30#17978C211yesmaximal, characteristic, complemented
31#17963C211yesmaximal, characteristic, complemented
32#3552C2211yescharacteristic, complemented
33#3543C2211yescharacteristic
34#3543C2211yescharacteristic, complemented
35#3543C2211yescharacteristic, complemented
36#3400C2211yescharacteristic, complemented
37#3399C2211yescharacteristic, complemented
38#3399C2211yescharacteristic, complemented
39#3399C2211yescharacteristic, complemented
40#3399C2211yescharacteristic, complemented
41#3397C2211yescharacteristic, complemented
42#3396C2211yescharacteristic, complemented
43#3396C2211yescharacteristic, complemented
44#3394C2211yescharacteristic, complemented
45#3392C2211yescharacteristic, complemented
46#3391C2211yescharacteristic, complemented
47#3391C2211yescharacteristic, complemented
48#3373C2211yescharacteristic, complemented
49#3368C2211yescharacteristic, complemented
50#3365C2211yescharacteristic, complemented
51#3358C2211yescharacteristic, complemented
52#3332C2211yescharacteristic, complemented
53#3324C2211yescharacteristic, complemented
54#3318—21no—
55#3314—21no—
56#3304C2211yescharacteristic, complemented
57#3297—21no—
58#3295—21no—
59#3294C2211yescharacteristic, complemented
60#3287C2211yescharacteristic, complemented
61#3287C2211yescharacteristic, complemented
62#3284C2211yescharacteristic, complemented
63#3282—21no—
64D4×SD16—21no—
65D4×SD16C2211yescharacteristic, complemented
66#3280—21no—
67#3280—21no—
68D4×D8—21no—
69D4×D8—21no—
70D4×D8C2211yescharacteristic, complemented
71D4×D8C2211yescharacteristic, complemented
72#3278C2211yescharacteristic, complemented
73#3274C2211yescharacteristic, complemented
74#3274C2211yescharacteristic, complemented
75#3274C2211yescharacteristic, complemented
76#3274C2211yescharacteristic, complemented
77#3272C2211yescharacteristic, complemented
78#3266—21no—
79#3265—21no—
80#3264—21no—
81#3264—21no—
82#3264—21no—
83#3264—21no—
84#3241—21no—
85#3239C2211yescharacteristic, complemented
86#3224—21no—
87#3222—21no—
88#3221—21no—
89#3220—21no—
90#3220—21no—
91#3220—21no—
92#3220—21no—
93#3218C2211yescharacteristic, complemented
94#3217C2211yescharacteristic
95#3217C2211yescharacteristic
96#3217C2211yescharacteristic, complemented
97#3217C2211yescharacteristic, complemented
98#3217C2211yescharacteristic, complemented
99#3217C2211yescharacteristic, complemented
100#3179—21no—
101#3176—21no—
102#3176—21no—
103#3174—21no—
104#3168C2211yescharacteristic
105#3168C2211yescharacteristic
106#3155—21no—
107#3155—21no—
108#3154—21no—
109C2×#493C2211yescharacteristic, complemented
110C2×#493C2211yescharacteristic, complemented
111C2×#493C2211yescharacteristic, complemented
112C2×#492C2211yescharacteristic, complemented
113#3136—21no—
114C2×#486C2211yescharacteristic, complemented
115C2×#486C2211yescharacteristic, complemented
116#2966C2211yescharacteristic, complemented
117#2966C2211yescharacteristic, complemented
118#2966C2211yescharacteristic, complemented
119#2966C2211yescharacteristic, complemented
120#1721C2211yescharacteristic
121#1721C2211yescharacteristic, complemented
122#1721C2211yescharacteristic, complemented
123#1721C2211yescharacteristic, complemented
124#1721C2211yescharacteristic, complemented
125#1721C2211yescharacteristic, complemented
126#1721C2211yescharacteristic, complemented
127#1721C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1701C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1688C2211yescharacteristic, complemented
133#1688C2211yescharacteristic, complemented
134#1688C2211yescharacteristic, complemented
135#1688C2211yescharacteristic, complemented
136#1687C2211yescharacteristic, complemented
137#1687C2211yescharacteristic, complemented
138#1687C2211yescharacteristic, complemented
139#1687C2211yescharacteristic, complemented
140#1686C2211yescharacteristic, complemented
141#1686C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1682C2211yescharacteristic, complemented
145#1682C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1668C2211yescharacteristic, complemented
149#1668C2211yescharacteristic, complemented
150#1668C2211yescharacteristic, complemented
151#1668C2211yescharacteristic, complemented
152#1667C2211yescharacteristic, complemented
153#1667C2211yescharacteristic, complemented
154#1667C2211yescharacteristic, complemented
155#1667C2211yescharacteristic, complemented
156#1666C2211yescharacteristic, complemented
157#1666C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1642C2211yescharacteristic, complemented
161#1642C2211yescharacteristic, complemented
162#1641C2211yescharacteristic, complemented
163#1641C2211yescharacteristic, complemented
164#1640C2211yescharacteristic, complemented
165#1640C2211yescharacteristic, complemented
166#1639C2211yescharacteristic, complemented
167#1639C2211yescharacteristic, complemented
168#1628C2211yescharacteristic, complemented
169#1628C2211yescharacteristic, complemented
170#1627C2211yescharacteristic, complemented
171#1627C2211yescharacteristic, complemented
172#1626C2211yescharacteristic, complemented
173#1626C2211yescharacteristic, complemented
174#1625C2211yescharacteristic, complemented
175#1625C2211yescharacteristic, complemented
176#1621C2211yescharacteristic, complemented
177#1621C2211yescharacteristic, complemented
178#1621C2211yescharacteristic, complemented
179#1621C2211yescharacteristic, complemented
180#1621C2211yescharacteristic, complemented
181#1621C2211yescharacteristic, complemented
182#1621C2211yescharacteristic, complemented
183#1621C2211yescharacteristic, complemented
184#1620C2211yescharacteristic, complemented
185#1620C2211yescharacteristic, complemented
186#1620C2211yescharacteristic, complemented
187#1620C2211yescharacteristic, complemented
188#1619C2211yescharacteristic, complemented
189#1619C2211yescharacteristic, complemented
190#1619C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1593C2211yescharacteristic, complemented
194#1592C2211yescharacteristic, complemented
195#1592C2211yescharacteristic, complemented
196#1584C2211yescharacteristic, complemented
197#1584C2211yescharacteristic, complemented
198#1583C2211yescharacteristic, complemented
199#1583C2211yescharacteristic, complemented
200#1582C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1579C2211yescharacteristic, complemented
206SD16⋊C8C2211yescharacteristic, complemented
207SD16⋊C8C2211yescharacteristic, complemented
208#1568C2211yescharacteristic, complemented
209#1568C2211yescharacteristic, complemented
210#1556C2211yescharacteristic, complemented
211#1555C2211yescharacteristic, complemented
212#1555C2211yescharacteristic, complemented
213#1555C2211yescharacteristic, complemented
214#1494C2211yescharacteristic, complemented
215#1494C2211yescharacteristic, complemented
216#1494C2211yescharacteristic, complemented
217#1494C2211yescharacteristic, complemented
218C2×#322C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×#135—21no—
226C2×#135—21no—
227C2×#135—21no—
228C22×SD16—21no—
229C22×SD16—21no—
230C22×SD16—21no—
231C22×D8—21no—
232C22×D8—21no—
233C22×D8—21no—
234C22×D8—21no—
235C22×D8—21no—
236C22×D8—21no—
237C22×D8—41no—
238#563—41no—
239#560—41no—
240#560—41no—
241#560—41no—
242#559C2311yescharacteristic
243#559C2311yescharacteristic
244#559C2311yescharacteristic
245#557C2311yescharacteristic
246#556C2311yescharacteristic
247#554—21no—
248#553—21no—
249#550C2311yescharacteristic
250#550C2311yescharacteristic
251#550C2311yescharacteristic
252#550C2311yescharacteristic
253#550C2311yescharacteristic
254#550C2311yescharacteristic
255D4×Q8—21no—
256D4×Q8C2311yescharacteristic
257#548—21no—
258#547C2311yescharacteristic
259#546—21no—
260#546—21no—
261#546—21no—
262#546—21no—
263#546—21no—
264#546—21no—
265D42—21no—
266D42—21no—
267D42—21no—
268D42—21no—
269D42—21no—
270D42—21no—
271D42C2311yescharacteristic
272D42C2311yescharacteristic
273D42C2311yescharacteristic
274#544—21no—
275#542—21no—
276#541—21no—
277#540—21no—
278#540—21no—
279#540—21no—
280#540—21no—
281#540—21no—
282#540—21no—
283#539—41no—
284#536—21no—
285#535—21no—
286#535—21no—
287#535—21no—
288#535—21no—
289#535—21no—
290#535—21no—
291#534—41no—
292#534—41no—
293#534—41no—
294C2×C4⋊Q8C2311yescharacteristic
295C2×#127C2311yescharacteristic
296C2×#127C2311yescharacteristic
297C2×#127C2311yescharacteristic
298#529C2311yescharacteristic
299#529C2311yescharacteristic
300#529C2311yescharacteristic
301#529C2311yescharacteristic
302#501—21no—
303#499D411yescharacteristic
304#499D411yescharacteristic
305#497—21no—
306#497—21no—
307#496—21no—
308#496—21no—
309#496—21no—
310#496—21no—
311#496—21no—
312#496—21no—
313#496—21no—
314#496—21no—
315#496—21no—
316#496—21no—
317#496—21no—
318#495—21no—
319#495—21no—
320#495—21no—
321#495D411yescharacteristic
322#495D411yescharacteristic
323#493—21no—
324#493—21no—
325#493—21no—
326#493—21no—
327#493—21no—
328#493—21no—
329#493—41no—
330#493C2311yescharacteristic
331#493C2311yescharacteristic
332#493C2311yescharacteristic
333#493C2311yescharacteristic
334#493C2311yescharacteristic
335#493C2311yescharacteristic
336#493C2311yescharacteristic
337#493C2311yescharacteristic
338#493C2311yescharacteristic
339#493C2311yescharacteristic
340#493C2311yescharacteristic
341#493C2311yescharacteristic
342#492—21no—
343#492—21no—
344#492—21no—
345#492C2311yescharacteristic
346#492C2311yescharacteristic
347#492C2311yescharacteristic
348#492C2311yescharacteristic
349#491—21no—
350#490—21no—
351#490—21no—
352#490—21no—
353#490—21no—
354#490—21no—
355#490—21no—
356#490—21no—
357#489—21no—
358#489—21no—
359#488—21no—
360#488D411yescharacteristic
361#488D411yescharacteristic
362#488D411yescharacteristic
363#488D411yescharacteristic
364#486—21no—
365#486—21no—
366#486—21no—
367#486—41no—
368#486C2311yescharacteristic
369#486C2311yescharacteristic
370#486C2311yescharacteristic
371#486C2311yescharacteristic
372#486C2311yescharacteristic
373#486C2311yescharacteristic
374#486C2311yescharacteristic
375#486C2311yescharacteristic
376#484—21no—
377#482—21no—
378#482—21no—
379#481—21no—
380#481—21no—
381#480—21no—
382#478—21no—
383#478—21no—
384#476—21no—
385#475C2311yescharacteristic
386#475C2311yescharacteristic
387#474—21no—
388#474C2311yescharacteristic
389#474C2311yescharacteristic
390#469—21no—
391#469—21no—
392#469—21no—
393#469—21no—
394#469—21no—
395#468—21no—
396#468—21no—
397#468—21no—
398#467D411yescharacteristic
399#467D411yescharacteristic
400#466—21no—
401#466—21no—
402#466—21no—
403#466—21no—
404#466—21no—
405#466D411yescharacteristic
406#466D411yescharacteristic
407#465—21no—
408#465—21no—
409#465—21no—
410#465D411yescharacteristic
411#465D411yescharacteristic
412#465D411yescharacteristic
413#465D411yescharacteristic
414#464—21no—
415#464—21no—
416#464—21no—
417#463—21no—
418#463—21no—
419#463—21no—
420#463—21no—
421#463—21no—
422#463—21no—
423#463—21no—
424#463—21no—
425#463—21no—
426#463—21no—
427#463—21no—
428#462C2311yescharacteristic
429#462C2311yescharacteristic
430#461—21no—
431#461—21no—
432#461C2311yescharacteristic
433#461C2311yescharacteristic
434#460—21no—
435#460—21no—
436#460—21no—
437#460C2311yescharacteristic
438#460C2311yescharacteristic
439#460C2311yescharacteristic
440#460C2311yescharacteristic
441#460C2311yescharacteristic
442#460C2311yescharacteristic
443#460C2311yescharacteristic
444#460C2311yescharacteristic
445#460C2311yescharacteristic
446#460C2311yescharacteristic
447#460C2311yescharacteristic
448#460C2311yescharacteristic
449#459—21no—
450#459—21no—
451#459—21no—
452#459—21no—
453#459—21no—
454#459—21no—
455#459—21no—
456#459—21no—
457#459—21no—
458#459C2311yescharacteristic
459#459C2311yescharacteristic
460#459C2311yescharacteristic
461#459C2311yescharacteristic
462#459C2311yescharacteristic
463#459C2311yescharacteristic
464#459C2311yescharacteristic
465#459C2311yescharacteristic
466#459C2311yescharacteristic
467#459C2311yescharacteristic
468#459C2311yescharacteristic
469#459C2311yescharacteristic
470#452—21no—
471#452—21no—
472#452—21no—
473#451—21no—
474#450—21no—
475#450—21no—
476#450—21no—
477#450—21no—
478#450—21no—
479#450—21no—
480#450—21no—
481#450—21no—
482#450—21no—
483#449—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#449—21no—
493#449—21no—
494#448—21no—
495#448—21no—
496#448—21no—
497#447—21no—
498#447—21no—
499#447—21no—
500#447—21no—
501#447—21no—
502#447—21no—
503#447—21no—
504#447—21no—
505#447—21no—
506#447—21no—
507#447—21no—
508#447—21no—
509#447—21no—
510#447—21no—
511#447—21no—
512#446C2311yescharacteristic
513#446C2311yescharacteristic
514#446C2311yescharacteristic
515#446C2311yescharacteristic
516C8×Q8C2311yescharacteristic
517C8×Q8C2311yescharacteristic
518C8×Q8C2311yescharacteristic
519C8×Q8C2311yescharacteristic
520#442—21no—
521#442—21no—
522#442—21no—
523#442—21no—
524#442—21no—
525#440—21no—
526#440—21no—
527#440—21no—
528C4×Q16C2311yescharacteristic
529C4×Q16C2311yescharacteristic
530C4×SD16—21no—
531C4×SD16—21no—
532C4×SD16—21no—
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×SD16C2311yescharacteristic
536C4×SD16C2311yescharacteristic
537C4×D8—21no—
538C4×D8—21no—
539C4×D8—21no—
540C4×D8—21no—
541C4×D8—21no—
542C4×D8C2311yescharacteristic
543C4×D8C2311yescharacteristic
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#436C2311yescharacteristic
547#436C2311yescharacteristic
548#435—21no—
549#435—21no—
550#435—21no—
551#435—21no—
552C8×D4—21no—
553C8×D4—21no—
554C8×D4—21no—
555C8×D4—21no—
556C8×D4C2311yescharacteristic
557C8×D4C2311yescharacteristic
558C8×D4C2311yescharacteristic
559C8×D4C2311yescharacteristic
560#433—21no—
561#433—21no—
562#433—21no—
563#433—21no—
564#432C2311yescharacteristic
565#432C2311yescharacteristic
566#432C2311yescharacteristic
567#432C2311yescharacteristic
568#418—21no—
569#417—21no—
570#416—21no—
571C2×#102—21no—
572C2×#102—21no—
573C2×#102—21no—
574C2×#102—41no—
575#405—21no—
576#405—21no—
577#405—21no—
578#405—21no—
579C2×C4×C8C2311yescharacteristic
580C2×C4×C8C2311yescharacteristic
581C2×C4×C8C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#332C2311yescharacteristic
591#332C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
594#331C2311yescharacteristic
595#331C2311yescharacteristic
596#331C2311yescharacteristic
597#331C2311yescharacteristic
598#331C2311yescharacteristic
599#331C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612Q8⋊C8C2311yescharacteristic
613Q8⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625#322C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C22×Q8—21no—
634C22×Q8—21no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—41no—
651C22×D4—41no—
652C22×D4—41no—
653#137—82no—
654AGL(1,ℤ/8)—82no—
655AGL(1,ℤ/8)—82no—
656AGL(1,ℤ/8)—82no—
657AGL(1,ℤ/8)—82no—
658AGL(1,ℤ/8)—82no—
659#135—82no—
660#135—82no—
661#135—82no—
662C2×Q16—21no—
663C2×Q16—21no—
664C2×Q16C2×D411yescharacteristic
665C2×Q16C2×D411yescharacteristic
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—21no—
682C2×SD16—21no—
683C2×SD16—21no—
684C2×SD16—21no—
685C2×SD16—21no—
686C2×SD16—21no—
687C2×SD16—21no—
688C2×SD16—82no—
689C2×SD16—82no—
690C2×SD16—82no—
691C2×SD16C2×D411yescharacteristic
692C2×SD16C2×D411yescharacteristic
693C2×SD16C2×D411yescharacteristic
694C2×SD16C2×D411yescharacteristic
695C2×D8—21no—
696C2×D8—21no—
697C2×D8—21no—
698C2×D8—21no—
699C2×D8—21no—
700C2×D8—21no—
701C2×D8—21no—
702C2×D8—21no—
703C2×D8—21no—
704C2×D8—21no—
705C2×D8—21no—
706C2×D8—21no—
707C2×D8—21no—
708C2×D8—21no—
709C2×D8—21no—
710C2×D8—21no—
711C2×D8—21no—
712C2×D8—21no—
713C2×D8—21no—
714C2×D8—21no—
715C2×D8—21no—
716C2×D8—21no—
717C2×D8—21no—
718C2×D8—21no—
719C2×D8—21no—
720C2×D8—21no—
721C2×D8—21no—
722C2×D8—21no—
723C2×D8—41no—
724C2×D8—41no—
725C2×D8—41no—
726C2×D8—41no—
727C2×D8—82no—
728C2×D8—82no—
729C2×D8—82no—
730C2×D8—82no—
731C2×D8—82no—
732C2×D8—82no—
733C2×D8—84no—
734C2×D8C2×D411yescharacteristic
735C2×D8C2×D411yescharacteristic
736C2×M16—21no—
737C2×M16—21no—
738C2×M16—21no—
739C2×M16—21no—
740C22×C8—21no—
741C22×C8—21no—
742C22×C8—21no—
743C22×C8—21no—
744C22×C8—21no—
745C22×C8C2×D411yescharacteristic
746C22×C8C2×D411yescharacteristic
747C22×C8C2×D411yescharacteristic
748C22×C8C2×D411yescharacteristic
749C4⋊Q8—21no—
750C4⋊Q8—21no—
751C4⋊Q8—21no—
752C4⋊Q8—21no—
753C4⋊Q8—21no—
754C4⋊Q8—41no—
755C4⋊Q8C2411yescharacteristic
756C4⋊Q8C2411yescharacteristic
757#127—21no—
758#127—21no—
759#127—21no—
760#127—21no—
761#127—21no—
762#127—21no—
763#127—21no—
764#127—21no—
765#127—21no—
766#127—21no—
767#127—21no—
768#127—21no—
769#127—21no—
770#127—21no—
771#127—21no—
772#127C2411yescharacteristic
773#127C2411yescharacteristic
774#127C2411yescharacteristic
775#127C2411yescharacteristic
776#127C2411yescharacteristic
777#127C2411yescharacteristic
778#126—21no—
779#126—21no—
780#126—21no—
781#126—21no—
782#126—41no—
783#126—41no—
784#126—41no—
785#125—21no—
786#125—41no—
787#125—41no—
788#125—41no—
789#125C2×D411yescharacteristic
790#125C2×D411yescharacteristic
791#125C2×D411yescharacteristic
792#125C2×D411yescharacteristic
793#124—21no—
794#124—21no—
795#124—21no—
796#124—21no—
797#124—21no—
798#124—21no—
799#124—21no—
800#124—41no—
801#124C2×D411yescharacteristic
802#124C2×D411yescharacteristic
803#124C2×D411yescharacteristic
804#124C2×D411yescharacteristic
805#123—21no—
806#123—21no—
807#123—21no—
808#123—21no—
809#123—41no—
810#123—41no—
811#123—41no—
812#123—41no—
813#123—41no—
814#123—41no—
815#123—41no—
816#123—41no—
817#123—41no—
818#123—41no—
819#123—41no—
820#123—41no—
821#123—41no—
822#123—41no—
823#123—41no—
824C22⋊Q8—21no—
825C22⋊Q8—21no—
826C22⋊Q8—21no—
827C22⋊Q8—41no—
828C22⋊Q8—41no—
829C22⋊Q8—41no—
830C22⋊Q8—41no—
831C22⋊Q8—41no—
832C22⋊Q8—41no—
833C22⋊Q8C2×D411yescharacteristic
834C22⋊Q8C2×D411yescharacteristic
835C22⋊Q8C2×D411yescharacteristic
836C22⋊Q8C2×D411yescharacteristic
837#121—21no—
838#121—21no—
839#121—21no—
840#121—21no—
841#121—21no—
842#121—21no—
843#121—21no—
844#121—21no—
845#121—21no—
846#121—21no—
847#121—21no—
848#121—21no—
849#121—21no—
850#121—41no—
851#121—41no—
852#121—41no—
853#121—41no—
854#121—41no—
855#121—41no—
856#121—41no—
857#121—41no—
858#121—41no—
859#121—41no—
860#121—41no—
861#121—41no—
862#121—41no—
863#121—41no—
864#121—41no—
865#121—41no—
866#121—41no—
867#121—41no—
868#121—41no—
869#121—41no—
870#121—41no—
871#121—41no—
872#121—41no—
873#121—41no—
874#121—41no—
875#121C2×D411yescharacteristic
876#121C2×D411yescharacteristic
877#121C2×D411yescharacteristic
878#121C2×D411yescharacteristic
879#120—41no—
880#120—41no—
881#120—41no—
882#120—41no—
883#120—41no—
884#120—41no—
885#120—41no—
886#120—41no—
887#120—41no—
888#120—41no—
889#120—41no—
890#120—41no—
891#120—41no—
892#120—41no—
893#120—41no—
894#120—41no—
895#120—41no—
896#120—41no—
897C4×Q8—21no—
898C4×Q8—21no—
899C4×Q8—21no—
900C4×Q8C2411yescharacteristic
901C4×Q8C2411yescharacteristic
902C4×Q8C2411yescharacteristic
903C4×Q8C2411yescharacteristic
904C4×D4—21no—
905C4×D4—21no—
906C4×D4—21no—
907C4×D4—21no—
908C4×D4—21no—
909C4×D4—21no—
910C4×D4—21no—
911C4×D4—21no—
912C4×D4—21no—
913C4×D4—21no—
914C4×D4—21no—
915C4×D4—21no—
916C4×D4—21no—
917C4×D4—21no—
918C4×D4—21no—
919C4×D4—21no—
920C4×D4—21no—
921C4×D4—41no—
922C4×D4—41no—
923C4×D4C2411yescharacteristic
924C4×D4C2411yescharacteristic
925C4×D4C2411yescharacteristic
926C4×D4C2411yescharacteristic
927#117—21no—
928#117—21no—
929#117—21no—
930#117—21no—
931#117—21no—
932C2×C4⋊C4—21no—
933C2×C4⋊C4—21no—
934C2×C4⋊C4—21no—
935C2×C22⋊C4—41no—
936C2×C22⋊C4—41no—
937C2×C22⋊C4—41no—
938C2×C42C2411yescharacteristic
939#107—21no—
940#107—21no—
941#107C2×D411yescharacteristic
942#107C2×D411yescharacteristic
943#107C2×D411yescharacteristic
944#107C2×D411yescharacteristic
945#106—21no—
946#106—21no—
947#106C2×D411yescharacteristic
948#106C2×D411yescharacteristic
949#106C2×D411yescharacteristic
950#106C2×D411yescharacteristic
951C4⋊C8—21no—
952C4⋊C8—21no—
953C4⋊C8—21no—
954C4⋊C8—21no—
955C4⋊C8—21no—
956C4⋊C8—21no—
957C4⋊C8—21no—
958C4⋊C8—21no—
959C4⋊C8C2411yescharacteristic
960C4⋊C8C2411yescharacteristic
961C4⋊C8C2411yescharacteristic
962C4⋊C8C2411yescharacteristic
963C4⋊C8C2411yescharacteristic
964C4⋊C8C2411yescharacteristic
965C4⋊C8C2411yescharacteristic
966C4⋊C8C2411yescharacteristic
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#102—21no—
982#102—21no—
983#102—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—21no—
1012#102—21no—
1013#102—21no—
1014#102—21no—
1015#102—41no—
1016#102—41no—
1017#102—41no—
1018#102—41no—
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023#102C2×D411yescharacteristic
1024#102C2×D411yescharacteristic
1025#102C2×D411yescharacteristic
1026#102C2×D411yescharacteristic
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039#97—21no—
1040#97—21no—
1041#97—21no—
1042#97—21no—
1043#97—21no—
1044#97—21no—
1045#97—21no—
1046#97—21no—
1047C4×C8—21no—
1048C4×C8—21no—
1049C4×C8—21no—
1050C4×C8—21no—
1051C4×C8—21no—
1052C4×C8C2×D411yescharacteristic
1053C4×C8C2×D411yescharacteristic
1054C4×C8C2×D411yescharacteristic
1055C4×C8C2×D411yescharacteristic
1056C4×C8C2411yescharacteristic
1057C4×C8C2411yescharacteristic
1058C4×C8C2411yescharacteristic
1059C4×C8C2411yescharacteristic
1060C4×C8C2411yescharacteristic
1061C4×C8C2411yescharacteristic
1062C24—41no—
1063C24—41no—
1064C24—41no—
1065C24—41no—
1066C24—41no—
1067C24—41no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075#41—81no—
1076#41—81no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—81no—
1081#41—81no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—41no—
1085C2×Q8—41no—
1086C2×Q8—81no—
1087C2×Q8—81no—
1088C2×Q8—81no—
1089C2×Q8—81no—
1090C2×Q8C22×D411yescharacteristic
1091C2×Q8C22×D411yescharacteristic
1092C2×Q8C22×D411yescharacteristic
1093C2×Q8C22×D411yescharacteristic
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—82no—
1157C2×D4—82no—
1158C2×D4—82no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—162no—
1172C2×D4—162no—
1173C2×D4—162no—
1174C2×D4C22×D411yescharacteristic
1175C2×D4C22×D411yescharacteristic
1176C2×D4C22×D411yescharacteristic
1177C2×D4C22×D411yescharacteristic
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4C22×D411yescharacteristic
1195C22×C4C22×D411yescharacteristic
1196C22×C4H(5,𝔽2)11yescharacteristic
1197Q16—22no—
1198Q16—41no—
1199Q16—81no—
1200Q16—81no—
1201SD16—22no—
1202SD16—22no—
1203SD16—41no—
1204SD16—41no—
1205SD16—42no—
1206SD16—42no—
1207SD16—42no—
1208SD16—42no—
1209SD16—81no—
1210SD16—81no—
1211SD16—81no—
1212SD16—81no—
1213SD16—81no—
1214SD16—81no—
1215SD16—81no—
1216SD16—81no—
1217SD16—81no—
1218SD16—81no—
1219SD16—81no—
1220SD16—81no—
1221SD16—81no—
1222SD16—81no—
1223SD16—81no—
1224SD16—81no—
1225SD16—81no—
1226SD16—81no—
1227D8—22no—
1228D8—41no—
1229D8—42no—
1230D8—42no—
1231D8—42no—
1232D8—42no—
1233D8—42no—
1234D8—42no—
1235D8—42no—
1236D8—42no—
1237D8—81no—
1238D8—81no—
1239D8—81no—
1240D8—81no—
1241D8—81no—
1242D8—81no—
1243D8—81no—
1244D8—81no—
1245D8—81no—
1246D8—81no—
1247D8—81no—
1248D8—81no—
1249D8—81no—
1250D8—81no—
1251D8—81no—
1252D8—81no—
1253D8—81no—
1254D8—81no—
1255D8—81no—
1256D8—81no—
1257D8—82no—
1258D8—82no—
1259D8—82no—
1260D8—82no—
1261M16—42no—
1262M16—42no—
1263M16—42no—
1264M16—81no—
1265C2×C8—22no—
1266C2×C8—22no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—41no—
1278C2×C8—41no—
1279C2×C8—42no—
1280C2×C8—42no—
1281C2×C8—42no—
1282C2×C8—42no—
1283C2×C8—81no—
1284C2×C8C22×D411yescharacteristic
1285C2×C8C22×D411yescharacteristic
1286C2×C8C22×D411yescharacteristic
1287C2×C8C22×D411yescharacteristic
1288C2×C8C22×D411yescharacteristic
1289C2×C8C22×D411yescharacteristic
1290C2×C8C22×D411yescharacteristic
1291C2×C8C22×D411yescharacteristic
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4C22×D411yescharacteristic
1321C4⋊C4C22×D411yescharacteristic
1322C4⋊C4C22×D411yescharacteristic
1323C4⋊C4C22×D411yescharacteristic
1324C4⋊C4C22×D411yescharacteristic
1325C4⋊C4C22×D411yescharacteristic
1326C4⋊C4C22×D411yescharacteristic
1327C4⋊C4C22×D411yescharacteristic
1328C22⋊C4—21no—
1329C22⋊C4—21no—
1330C22⋊C4—21no—
1331C22⋊C4—21no—
1332C22⋊C4—21no—
1333C22⋊C4—21no—
1334C22⋊C4—21no—
1335C22⋊C4—21no—
1336C22⋊C4—21no—
1337C22⋊C4—21no—
1338C22⋊C4—21no—
1339C22⋊C4—21no—
1340C22⋊C4—21no—
1341C22⋊C4—21no—
1342C22⋊C4—21no—
1343C22⋊C4—21no—
1344C22⋊C4—21no—
1345C22⋊C4—21no—
1346C22⋊C4—21no—
1347C22⋊C4—21no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—41no—
1375C42—41no—
1376C42C22×D411yescharacteristic
1377C42C22×D411yescharacteristic
1378C42H(5,𝔽2)11yescharacteristic
1379C42C2511yescharacteristic
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—82no—
1391C23—82no—
1392C23—82no—
1393C23—161no—
1394C23—161no—
1395C23—161no—
1396C23—161no—
1397C23—161no—
1398C23—161no—
1399C23—161no—
1400C23—161no—
1401C23—161no—
1402C23—161no—
1403C23—161no—
1404C23—161no—
1405C23—161no—
1406C23—161no—
1407C23—161no—
1408C23D4211yescharacteristic
1409Q8—21no—
1410Q8—21no—
1411Q8—21no—
1412Q8—21no—
1413Q8—21no—
1414Q8—21no—
1415Q8—21no—
1416Q8—21no—
1417Q8—41no—
1418Q8—41no—
1419Q8—41no—
1420Q8—41no—
1421Q8—161no—
1422Q8—161no—
1423D4—21no—
1424D4—21no—
1425D4—21no—
1426D4—21no—
1427D4—21no—
1428D4—21no—
1429D4—21no—
1430D4—21no—
1431D4—42no—
1432D4—42no—
1433D4—42no—
1434D4—42no—
1435D4—41no—
1436D4—41no—
1437D4—41no—
1438D4—41no—
1439D4—41no—
1440D4—41no—
1441D4—41no—
1442D4—41no—
1443D4—41no—
1444D4—41no—
1445D4—41no—
1446D4—41no—
1447D4—41no—
1448D4—41no—
1449D4—41no—
1450D4—41no—
1451D4—41no—
1452D4—41no—
1453D4—41no—
1454D4—41no—
1455D4—41no—
1456D4—41no—
1457D4—41no—
1458D4—41no—
1459D4—81no—
1460D4—81no—
1461D4—81no—
1462D4—81no—
1463D4—81no—
1464D4—81no—
1465D4—161no—
1466D4—161no—
1467D4—161no—
1468D4—161no—
1469D4—161no—
1470D4—161no—
1471D4—161no—
1472D4—161no—
1473D4—161no—
1474D4—161no—
1475D4—161no—
1476D4—161no—
1477D4—161no—
1478D4—161no—
1479D4—161no—
1480D4—161no—
1481D4—161no—
1482D4—161no—
1483D4—161no—
1484D4—161no—
1485D4—161no—
1486D4—161no—
1487D4—161no—
1488D4—161no—
1489D4—161no—
1490D4—161no—
1491D4—161no—
1492D4—161no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—161no—
1521C2×C4—161no—
1522C2×C4—161no—
1523C2×C4—161no—
1524C2×C4—161no—
1525C2×C4—161no—
1526C2×C4—161no—
1527C2×C4—161no—
1528C2×C4—161no—
1529C2×C4—161no—
1530C2×C4—161no—
1531C2×C4—161no—
1532C2×C4D4211yescharacteristic
1533C2×C4D4211yescharacteristic
1534C2×C4D4211yescharacteristic
1535C2×C4C23×D411yescharacteristic
1536C2×C4C23×D411yescharacteristic
1537C2×C4C2×H(5,𝔽2)11yescharacteristic
1538C8—21no—
1539C8—21no—
1540C8—21no—
1541C8—21no—
1542C8—21no—
1543C8—21no—
1544C8—41no—
1545C8—41no—
1546C8—41no—
1547C8—41no—
1548C8—41no—
1549C8—41no—
1550C8—41no—
1551C8—41no—
1552C8—41no—
1553C8—41no—
1554C8#57612yes—
1555C8#57612yes—
1556C22—21no—
1557C22—21no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22—81no—
1579C22—81no—
1580C22—81no—
1581C22—81no—
1582C22—81no—
1583C22—81no—
1584C22—81no—
1585C22—81no—
1586C22—81no—
1587C22—81no—
1588C22—322no—
1589C22—322no—
1590C22—322no—
1591C22—322no—
1592C22—322no—
1593C22—322no—
1594C22#328812yes—
1595C22C2×D4211yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—81no—
1613C4—81no—
1614C4C2×#57611yescharacteristic
1615C4C2×#57611yescharacteristic
1616C4#358511yescharacteristic
1617C4#358511yescharacteristic
1618C2—22no—
1619C2—81no—
1620C2—81no—
1621C2—81no—
1622C2—81no—
1623C2—161no—
1624C2—161no—
1625C2—161no—
1626C2—161no—
1627C2—161no—
1628C2—161no—
1629C2#6108211yescharacteristic
1630C2#6108911yescharacteristic
1631C2C2×#328811yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C2×C42 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62550C2semidirect
2. #62431C2semidirect
3. #62431C2semidirect
4. #62430C2semidirect
5. #20282C2semidirect
6. #20272C2semidirect
7. #20266C2semidirect
8. #20256C2semidirect
9. #20202C2semidirect
10. #20192C2semidirect
11. #20170C2semidirect
12. #20160C2semidirect
13. #19874C2semidirect
14. #19871C2semidirect
15. #19868C2semidirect
16. #19867C2semidirect
17. #19762C2semidirect
18. #19759C2semidirect
19. #19756C2semidirect
20. #19755C2semidirect
21. C2×#1721C2semidirect
22. #19364C2semidirect
23. #19353C2semidirect
24. #19353C2semidirect
25. #19352C2semidirect
26. #18694C2semidirect
27. #18689C2semidirect
28. #18682C2semidirect
29. #18682C2semidirect
30. #17978C2semidirect
31. #17963C2semidirect
32. #3552C22semidirect
34. #3543C22semidirect
35. #3543C22semidirect
36. #3400C22semidirect
37. #3399C22semidirect
38. #3399C22semidirect
39. #3399C22semidirect
40. #3399C22semidirect
41. #3397C22semidirect
42. #3396C22semidirect
43. #3396C22semidirect
44. #3394C22semidirect
45. #3392C22semidirect
46. #3391C22semidirect
47. #3391C22semidirect
48. #3373C22semidirect
49. #3368C22semidirect
50. #3365C22semidirect
51. #3358C22semidirect
52. #3332C22semidirect
53. #3324C22semidirect
56. #3304C22semidirect
59. #3294C22semidirect
60. #3287C22semidirect
61. #3287C22semidirect
62. #3284C22semidirect
65. D4×SD16C22semidirect
70. D4×D8C22semidirect
71. D4×D8C22semidirect
72. #3278C22semidirect
73. #3274C22semidirect
74. #3274C22semidirect
75. #3274C22semidirect
76. #3274C22semidirect
77. #3272C22semidirect
85. #3239C22semidirect
93. #3218C22semidirect
96. #3217C22semidirect
97. #3217C22semidirect
98. #3217C22semidirect
99. #3217C22semidirect
109. C2×#493C22semidirect
110. C2×#493C22semidirect
111. C2×#493C22semidirect
112. C2×#492C22semidirect
114. C2×#486C22semidirect
115. C2×#486C22semidirect
116. #2966C22semidirect
117. #2966C22semidirect
118. #2966C22semidirect
119. #2966C22semidirect
121. #1721C22semidirect
122. #1721C22semidirect
123. #1721C22semidirect
124. #1721C22semidirect
125. #1721C22semidirect
126. #1721C22semidirect
127. #1721C22semidirect
128. #1702C22semidirect
129. #1702C22semidirect
130. #1701C22semidirect
131. #1701C22semidirect
132. #1688C22semidirect
133. #1688C22semidirect
134. #1688C22semidirect
135. #1688C22semidirect
136. #1687C22semidirect
137. #1687C22semidirect
138. #1687C22semidirect
139. #1687C22semidirect
140. #1686C22semidirect
141. #1686C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1682C22semidirect
145. #1682C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1668C22semidirect
149. #1668C22semidirect
150. #1668C22semidirect
151. #1668C22semidirect
152. #1667C22semidirect
153. #1667C22semidirect
154. #1667C22semidirect
155. #1667C22semidirect
156. #1666C22semidirect
157. #1666C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1642C22semidirect
161. #1642C22semidirect
162. #1641C22semidirect
163. #1641C22semidirect
164. #1640C22semidirect
165. #1640C22semidirect
166. #1639C22semidirect
167. #1639C22semidirect
168. #1628C22semidirect
169. #1628C22semidirect
170. #1627C22semidirect
171. #1627C22semidirect
172. #1626C22semidirect
173. #1626C22semidirect
174. #1625C22semidirect
175. #1625C22semidirect
176. #1621C22semidirect
177. #1621C22semidirect
178. #1621C22semidirect
179. #1621C22semidirect
180. #1621C22semidirect
181. #1621C22semidirect
182. #1621C22semidirect
183. #1621C22semidirect
184. #1620C22semidirect
185. #1620C22semidirect
186. #1620C22semidirect
187. #1620C22semidirect
188. #1619C22semidirect
189. #1619C22semidirect
190. #1619C22semidirect
191. #1619C22semidirect
192. #1594C22semidirect
193. #1593C22semidirect
194. #1592C22semidirect
195. #1592C22semidirect
196. #1584C22semidirect
197. #1584C22semidirect
198. #1583C22semidirect
199. #1583C22semidirect
200. #1582C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. #1579C22semidirect
206. SD16⋊C8C22semidirect
207. SD16⋊C8C22semidirect
208. #1568C22semidirect
209. #1568C22semidirect
210. #1556C22semidirect
211. #1555C22semidirect
212. #1555C22semidirect
213. #1555C22semidirect
214. #1494C22semidirect
215. #1494C22semidirect
216. #1494C22semidirect
217. #1494C22semidirect
218. C2×#322C22semidirect

Maximal subgroups

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

subgroupindex
#625502
#624312
#624302
#202822
#202722
#202662
#202562
#202022
#201922
#201702
#201602
#198742
#198712
#198682
#198672
#197622
#197592
#197562
#197552
C2×#17212
#193642
#193532
#193522
#186942
#186892
#186822
#179782
#179632