Finite Group Databasebeta

← #6361010

Subgroups — #6361010

Order 512.

1648 conjugacy classes of subgroups.

The subgroup lattice has 1576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62429C211yesmaximal, characteristic, complemented
2#62419C211yesmaximal, characteristic, complemented
3#61494C211yesmaximal, characteristic, complemented
4#61475C211yesmaximal, characteristic, complemented
5#20282C211yesmaximal, characteristic, complemented
6#20266C211yesmaximal, characteristic, complemented
7#20250C211yesmaximal, characteristic, complemented
8#20234C211yesmaximal, characteristic, complemented
9#20208C211yesmaximal, characteristic, complemented
10#20192C211yesmaximal, characteristic, complemented
11#20176C211yesmaximal, characteristic, complemented
12#20160C211yesmaximal, characteristic, complemented
13#19874C211yesmaximal, characteristic, complemented
14#19872C211yesmaximal, characteristic, complemented
15#19871C211yesmaximal, characteristic, complemented
16#19870C211yesmaximal, characteristic, complemented
17#19761C211yesmaximal, characteristic, complemented
18#19757C211yesmaximal, characteristic, complemented
19#19756C211yesmaximal, characteristic, complemented
20#19755C211yesmaximal, characteristic, complemented
21#19616C211yesmaximal, characteristic, complemented
22#19294C211yesmaximal, characteristic, complemented
23#19269C211yesmaximal, characteristic, complemented
24#19225C211yesmaximal, characteristic, complemented
25#19219C211yesmaximal, characteristic, complemented
26#18670C211yesmaximal, characteristic, complemented
27#18658C211yesmaximal, characteristic, complemented
28#18658C211yesmaximal, characteristic, complemented
29#18658C211yesmaximal, characteristic, complemented
30#17963C211yesmaximal, characteristic, complemented
31#17863C211yesmaximal, characteristic, complemented
32#3517C2211yescharacteristic, complemented
33#3514C2211yescharacteristic
34#3514C2211yescharacteristic, complemented
35#3514C2211yescharacteristic, complemented
36#3400C2211yescharacteristic, complemented
37#3399C2211yescharacteristic, complemented
38#3399C2211yescharacteristic, complemented
39#3398C2211yescharacteristic, complemented
40#3397C2211yescharacteristic
41#3396C2211yescharacteristic, complemented
42#3396C2211yescharacteristic, complemented
43#3394C2211yescharacteristic
44#3394C2211yescharacteristic, complemented
45#3393C2211yescharacteristic
46#3386C2211yescharacteristic, complemented
47Q8×D8C2211yescharacteristic
48#3373C2211yescharacteristic
49#3373C2211yescharacteristic, complemented
50#3365C2211yescharacteristic, complemented
51#3358C2211yescharacteristic
52#3353C2211yescharacteristic, complemented
53#3347—21no—
54#3342C2211yescharacteristic, complemented
55#3341—21no—
56#3324C2211yescharacteristic
57#3324C2211yescharacteristic, complemented
58#3319—21no—
59#3319—21no—
60#3305—21no—
61#3304C2211yescharacteristic, complemented
62#3297—21no—
63#3294C2211yescharacteristic
64D4×Q16C2211yescharacteristic, complemented
65#3285—21no—
66#3282—21no—
67#3282—21no—
68D4×SD16C2211yescharacteristic
69D4×SD16C2211yescharacteristic, complemented
70#3280—21no—
71#3280—21no—
72D4×D8C2211yescharacteristic
73D4×D8C2211yescharacteristic
74#3278C2211yescharacteristic, complemented
75#3276C2211yescharacteristic, complemented
76#3274C2211yescharacteristic, complemented
77#3274C2211yescharacteristic, complemented
78#3272C2211yescharacteristic
79#3271—21no—
80#3269—21no—
81#3268—21no—
82#3268—21no—
83#3267—21no—
84#3212—21no—
85#3212C2211yescharacteristic
86#3212C2211yescharacteristic, complemented
87#3212C2211yescharacteristic, complemented
88#3212C2211yescharacteristic, complemented
89#3211—21no—
90#3211—21no—
91#3211—21no—
92#3183—21no—
93#3179—21no—
94#3175—21no—
95#3169C2211yescharacteristic, complemented
96#3169C2211yescharacteristic, complemented
97#3169C2211yescharacteristic, complemented
98#3169C2211yescharacteristic, complemented
99#3168—21no—
100#3168C2211yescharacteristic
101#3153—21no—
102#3147C2211yescharacteristic, complemented
103#3147C2211yescharacteristic, complemented
104C2×#495—21no—
105#3124—21no—
106#3122—21no—
107#3118—21no—
108#3118—21no—
109#3115C2211yescharacteristic
110#3115C2211yescharacteristic, complemented
111#3115C2211yescharacteristic, complemented
112#3115C2211yescharacteristic, complemented
113#2966C2211yescharacteristic, complemented
114#2966C2211yescharacteristic, complemented
115#2965C2211yescharacteristic, complemented
116C8×#41C2211yescharacteristic, complemented
117#2948—21no—
118#2946—21no—
119C4×#135C2211yescharacteristic
120#1722C2211yescharacteristic, complemented
121#1722C2211yescharacteristic, complemented
122#1722C2211yescharacteristic, complemented
123#1722C2211yescharacteristic, complemented
124#1721C2211yescharacteristic
125#1721C2211yescharacteristic, complemented
126#1721C2211yescharacteristic, complemented
127#1721C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1701C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1694C2211yescharacteristic, complemented
133#1693C2211yescharacteristic, complemented
134#1690C2211yescharacteristic, complemented
135#1689C2211yescharacteristic, complemented
136#1688C2211yescharacteristic, complemented
137#1688C2211yescharacteristic, complemented
138#1687C2211yescharacteristic
139#1687C2211yescharacteristic
140#1686C2211yescharacteristic, complemented
141#1686C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1682C2211yescharacteristic, complemented
145#1682C2211yescharacteristic, complemented
146#1681C2211yescharacteristic
147#1681C2211yescharacteristic, complemented
148#1674C2211yescharacteristic, complemented
149#1673C2211yescharacteristic, complemented
150#1670C2211yescharacteristic, complemented
151#1669C2211yescharacteristic, complemented
152#1668C2211yescharacteristic, complemented
153#1668C2211yescharacteristic, complemented
154#1667C2211yescharacteristic
155#1667C2211yescharacteristic
156#1666C2211yescharacteristic, complemented
157#1666C2211yescharacteristic, complemented
158#1665C2211yescharacteristic
159#1665C2211yescharacteristic, complemented
160#1650C2211yescharacteristic, complemented
161#1650C2211yescharacteristic, complemented
162#1650C2211yescharacteristic, complemented
163#1649C2211yescharacteristic, complemented
164#1649C2211yescharacteristic, complemented
165#1649C2211yescharacteristic, complemented
166#1648C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1642C2211yescharacteristic, complemented
169#1641C2211yescharacteristic, complemented
170#1640C2211yescharacteristic, complemented
171#1640C2211yescharacteristic, complemented
172#1640C2211yescharacteristic, complemented
173#1639C2211yescharacteristic
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1628C2211yescharacteristic
177#1628C2211yescharacteristic, complemented
178#1628C2211yescharacteristic, complemented
179#1627C2211yescharacteristic
180#1627C2211yescharacteristic, complemented
181#1627C2211yescharacteristic, complemented
182#1626C2211yescharacteristic, complemented
183#1625C2211yescharacteristic
184#1621C2211yescharacteristic, complemented
185#1621C2211yescharacteristic, complemented
186#1620C2211yescharacteristic, complemented
187#1620C2211yescharacteristic, complemented
188#1620C2211yescharacteristic, complemented
189#1619C2211yescharacteristic
190#1619C2211yescharacteristic
191#1619C2211yescharacteristic
192#1594C2211yescharacteristic
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
203#1581C2211yescharacteristic
204#1580C2211yescharacteristic
205#1579C2211yescharacteristic, complemented
206SD16⋊C8C2211yescharacteristic, complemented
207SD16⋊C8C2211yescharacteristic, complemented
208#1568C2211yescharacteristic, complemented
209#1564C2211yescharacteristic, complemented
210#1553C2211yescharacteristic, complemented
211#1553C2211yescharacteristic, complemented
212#1553C2211yescharacteristic, complemented
213#1553C2211yescharacteristic, complemented
214#1494C2211yescharacteristic, complemented
215#1494C2211yescharacteristic, complemented
216#1476C2211yescharacteristic, complemented
217#1476C2211yescharacteristic, complemented
218C2×#322C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×#137—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×#135—21no—
225C2×#135—21no—
226C2×#135—21no—
227C2×#135—21no—
228C2×#135D411yescharacteristic
229C22×Q16—21no—
230C22×SD16—21no—
231C22×SD16—21no—
232C22×D8—21no—
233C22×D8—21no—
234#559C2311yescharacteristic
235#559C2311yescharacteristic
236#559C2311yescharacteristic
237#557C2311yescharacteristic
238#556C2311yescharacteristic
239#556C2311yescharacteristic
240#556C2311yescharacteristic
241#555—21no—
242#555—21no—
243#555—21no—
244#553—21no—
245#553—41no—
246#551—41no—
247#551—41no—
248#551—41no—
249#550—21no—
250#550—21no—
251#550C2311yescharacteristic
252#550C2311yescharacteristic
253D4×Q8C2311yescharacteristic
254D4×Q8C2311yescharacteristic
255D4×Q8C2311yescharacteristic
256#548—21no—
257#548—21no—
258#548—21no—
259#547—21no—
260#547C2311yescharacteristic
261#546—21no—
262#546—21no—
263#546—21no—
264#546—21no—
265#546—21no—
266#546—21no—
267D42C2311yescharacteristic
268D42C2311yescharacteristic
269D42C2311yescharacteristic
270#542—21no—
271#542—21no—
272#542—21no—
273#540—21no—
274#540—41no—
275#538—41no—
276#538—41no—
277#538—41no—
278#532—21no—
279#532C2311yescharacteristic
280#532C2311yescharacteristic
281#532C2311yescharacteristic
282#532C2311yescharacteristic
283#529—21no—
284#529—21no—
285#529—21no—
286#529—21no—
287#529C2311yescharacteristic
288#529C2311yescharacteristic
289C2×#124—21no—
290C2×#124—21no—
291C2×#124—21no—
292#520—21no—
293#518—21no—
294#518—21no—
295#518—21no—
296C4×#41C2311yescharacteristic
297C4×#41C2311yescharacteristic
298#501—21no—
299#500—21no—
300#500C2311yescharacteristic
301#500C2311yescharacteristic
302#500C2311yescharacteristic
303#500C2311yescharacteristic
304#499D411yescharacteristic
305#497—21no—
306#497—21no—
307#496—21no—
308#496—21no—
309#496—21no—
310#495—21no—
311#495—21no—
312#495—21no—
313#495—21no—
314#495—21no—
315#495—21no—
316#495—21no—
317#495—21no—
318#495—21no—
319#495—21no—
320#495—21no—
321#495—21no—
322#495—21no—
323#495D411yescharacteristic
324#494C2311yescharacteristic
325#494C2311yescharacteristic
326#493C2311yescharacteristic
327#493C2311yescharacteristic
328#493C2311yescharacteristic
329#493C2311yescharacteristic
330#493C2311yescharacteristic
331#493C2311yescharacteristic
332#492C2311yescharacteristic
333#492C2311yescharacteristic
334#492C2311yescharacteristic
335#492C2311yescharacteristic
336#489—21no—
337#489—21no—
338#488—21no—
339#488—21no—
340#488—21no—
341#488—21no—
342#488—21no—
343#488D411yescharacteristic
344#488D411yescharacteristic
345#486—21no—
346#486C2311yescharacteristic
347#486C2311yescharacteristic
348#486C2311yescharacteristic
349#486C2311yescharacteristic
350#486C2311yescharacteristic
351#486C2311yescharacteristic
352#486C2311yescharacteristic
353#486C2311yescharacteristic
354#485—21no—
355#485—21no—
356#484—21no—
357#482—21no—
358#482—21no—
359#482—21no—
360#482—21no—
361#482—21no—
362#482—21no—
363#482—21no—
364#482—21no—
365#480—21no—
366#478—21no—
367#478—21no—
368#477—21no—
369#476—21no—
370#476—21no—
371#475C2311yescharacteristic
372#475C2311yescharacteristic
373#475C2311yescharacteristic
374#475C2311yescharacteristic
375#474—21no—
376#474—21no—
377#474—21no—
378#474C2311yescharacteristic
379#474C2311yescharacteristic
380#474C2311yescharacteristic
381#474C2311yescharacteristic
382#470—21no—
383#469—21no—
384#469—21no—
385#468—21no—
386#468—21no—
387#468—21no—
388#468—21no—
389#468—21no—
390#467—21no—
391#467—21no—
392#467D411yescharacteristic
393#466—21no—
394#466—21no—
395#466—21no—
396#466—21no—
397#466—21no—
398#466—21no—
399#466—21no—
400#466—41no—
401#466—41no—
402#466D411yescharacteristic
403#465—21no—
404#465—21no—
405#465—21no—
406#465D411yescharacteristic
407#465D411yescharacteristic
408#464—21no—
409#464—21no—
410#464—21no—
411#464—21no—
412#464—21no—
413#464—21no—
414#464—21no—
415#463—21no—
416#463—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#462—21no—
427#462C2311yescharacteristic
428#462C2311yescharacteristic
429#462C2311yescharacteristic
430#462C2311yescharacteristic
431#461—21no—
432#461C2311yescharacteristic
433#461C2311yescharacteristic
434#461C2311yescharacteristic
435#461C2311yescharacteristic
436#460—21no—
437#460C2311yescharacteristic
438#460C2311yescharacteristic
439#460C2311yescharacteristic
440#460C2311yescharacteristic
441#460C2311yescharacteristic
442#460C2311yescharacteristic
443#460C2311yescharacteristic
444#460C2311yescharacteristic
445#459—21no—
446#459—21no—
447#459—21no—
448#459C2311yescharacteristic
449#459C2311yescharacteristic
450#459C2311yescharacteristic
451#459C2311yescharacteristic
452#459C2311yescharacteristic
453#459C2311yescharacteristic
454#459C2311yescharacteristic
455#459C2311yescharacteristic
456#452—21no—
457#452—21no—
458#452—21no—
459#452—21no—
460#452—21no—
461#452—21no—
462#452—21no—
463#451—21no—
464#451—21no—
465#451—21no—
466#450—21no—
467#450—21no—
468#450—21no—
469#450—21no—
470#450—21no—
471#449—21no—
472#449—21no—
473#449—21no—
474#449—21no—
475#449—21no—
476#449—21no—
477#449—21no—
478#449—21no—
479#449—21no—
480#449—21no—
481#449—21no—
482#448—21no—
483#448—21no—
484#448—21no—
485#447—21no—
486#447—21no—
487#447—21no—
488#447—21no—
489#447—21no—
490#447—21no—
491#447—21no—
492#446C2311yescharacteristic
493#446C2311yescharacteristic
494#446C2311yescharacteristic
495#446C2311yescharacteristic
496C8×Q8C2311yescharacteristic
497C8×Q8C2311yescharacteristic
498C8×Q8C2311yescharacteristic
499C8×Q8C2311yescharacteristic
500#442—21no—
501#442—21no—
502#442—21no—
503#442—21no—
504#442—21no—
505#442—21no—
506#442—21no—
507#442—21no—
508#441—21no—
509#440—21no—
510#440—21no—
511#440—21no—
512#440—21no—
513#440—21no—
514#440—21no—
515#440—21no—
516C4×Q16—21no—
517C4×Q16D411yescharacteristic
518C4×Q16C2311yescharacteristic
519C4×Q16C2311yescharacteristic
520C4×SD16—21no—
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16D411yescharacteristic
524C4×SD16D411yescharacteristic
525C4×SD16C2311yescharacteristic
526C4×SD16C2311yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×SD16C2311yescharacteristic
529C4×D8—21no—
530C4×D8—21no—
531C4×D8—21no—
532C4×D8—21no—
533C4×D8—21no—
534C4×D8—21no—
535C4×D8—21no—
536C4×D8—21no—
537C4×D8—41no—
538C4×D8—41no—
539C4×D8D411yescharacteristic
540C4×D8C2311yescharacteristic
541C4×D8C2311yescharacteristic
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#435—21no—
547#435—21no—
548#435—21no—
549#435—21no—
550C8×D4—21no—
551C8×D4—21no—
552C8×D4—21no—
553C8×D4—21no—
554C8×D4C2311yescharacteristic
555C8×D4C2311yescharacteristic
556C8×D4C2311yescharacteristic
557C8×D4C2311yescharacteristic
558#433—21no—
559#433—21no—
560#432C2311yescharacteristic
561#432C2311yescharacteristic
562#431—21no—
563#431—21no—
564#431C2311yescharacteristic
565#431C2311yescharacteristic
566#428—21no—
567#427—21no—
568#427D411yescharacteristic
569#418—21no—
570#418—21no—
571#416—21no—
572#416D411yescharacteristic
573#416D411yescharacteristic
574C2×#102—21no—
575#405—21no—
576#405—21no—
577C4×M16—21no—
578C2×C4×C8—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#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
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—
633C2×#41C2×D411yescharacteristic
634C2×#41C2×D411yescharacteristic
635C22×Q8—21no—
636C22×Q8—21no—
637C22×Q8—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644#137—82no—
645#137—82no—
646AGL(1,ℤ/8)—44no—
647AGL(1,ℤ/8)—82no—
648AGL(1,ℤ/8)—82no—
649#135—42no—
650#135—82no—
651#135—82no—
652#135—82no—
653#135—82no—
654C2×Q16—21no—
655C2×Q16—21no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16—21no—
661C2×Q16—21no—
662C2×Q16—82no—
663C2×Q16C2×D411yescharacteristic
664C2×Q16C2×D411yescharacteristic
665C2×SD16—21no—
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—82no—
686C2×SD16—82no—
687C2×SD16C2×D411yescharacteristic
688C2×SD16C2×D411yescharacteristic
689C2×SD16C2×D411yescharacteristic
690C2×SD16C2×D411yescharacteristic
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—21no—
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—41no—
708C2×D8—41no—
709C2×D8—44no—
710C2×D8—82no—
711C2×D8C2×D411yescharacteristic
712C2×D8C2×D411yescharacteristic
713C2×M16—21no—
714C2×M16—21no—
715C2×M16—21no—
716C2×M16—21no—
717C22×C8—21no—
718C22×C8—21no—
719C22×C8—21no—
720C22×C8—21no—
721C22×C8—21no—
722C22×C8C2×D411yescharacteristic
723C22×C8C2×D411yescharacteristic
724C22×C8C2×D411yescharacteristic
725C22×C8C2×D411yescharacteristic
726C4⋊Q8—21no—
727C4⋊Q8—21no—
728C4⋊Q8—21no—
729C4⋊Q8—21no—
730C4⋊Q8C2411yescharacteristic
731C4⋊Q8C2411yescharacteristic
732C4⋊Q8C2411yescharacteristic
733C4⋊Q8C2411yescharacteristic
734#127—21no—
735#127—21no—
736#127—41no—
737#127C2411yescharacteristic
738#127C2411yescharacteristic
739#127C2411yescharacteristic
740#127C2411yescharacteristic
741#126—21no—
742#126—21no—
743#126—41no—
744#126—41no—
745#126—41no—
746#126—41no—
747#126—41no—
748#126—41no—
749#126—41no—
750#125—21no—
751#125—41no—
752#125C2×D411yescharacteristic
753#125C2×D411yescharacteristic
754#124—21no—
755#124—21no—
756#124—21no—
757#124—21no—
758#124—21no—
759#124—21no—
760#124—21no—
761#124—21no—
762#124—21no—
763#124—21no—
764#124—21no—
765#124—21no—
766#124—21no—
767#124—41no—
768#124—41no—
769#124—41no—
770#124—41no—
771#124—41no—
772#124—41no—
773#124—41no—
774#124—41no—
775#124—41no—
776#124C2×D411yescharacteristic
777#124C2×D411yescharacteristic
778#123—21no—
779#123—21no—
780#123—41no—
781#123—41no—
782#123—41no—
783#123—41no—
784#123—41no—
785#123—41no—
786#123—41no—
787#123—41no—
788#123—41no—
789#123—41no—
790#123—41no—
791#123—41no—
792#123—41no—
793C22⋊Q8—21no—
794C22⋊Q8—21no—
795C22⋊Q8—21no—
796C22⋊Q8—21no—
797C22⋊Q8—21no—
798C22⋊Q8—21no—
799C22⋊Q8—21no—
800C22⋊Q8—41no—
801C22⋊Q8—41no—
802C22⋊Q8—41no—
803C22⋊Q8—41no—
804C22⋊Q8—41no—
805C22⋊Q8—41no—
806C22⋊Q8C2×D411yescharacteristic
807C22⋊Q8C2×D411yescharacteristic
808#121—21no—
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—21no—
817#121—21no—
818#121—21no—
819#121—21no—
820#121—21no—
821#121—21no—
822#121—21no—
823#121—21no—
824#121—21no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121—41no—
830#121—41no—
831#121—41no—
832#121—41no—
833#121—41no—
834#121—41no—
835#121—41no—
836#121—41no—
837#121—41no—
838#121C2×D411yescharacteristic
839#121C2×D411yescharacteristic
840#120—41no—
841#120—41no—
842#120—41no—
843#120—41no—
844#120—41no—
845#120—41no—
846C4×Q8—21no—
847C4×Q8—21no—
848C4×Q8—21no—
849C4×Q8—21no—
850C4×Q8—21no—
851C4×Q8C2×D411yescharacteristic
852C4×Q8C2×D411yescharacteristic
853C4×Q8C2411yescharacteristic
854C4×Q8C2411yescharacteristic
855C4×Q8C2411yescharacteristic
856C4×Q8C2411yescharacteristic
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—21no—
866C4×D4—21no—
867C4×D4—21no—
868C4×D4—21no—
869C4×D4—21no—
870C4×D4—21no—
871C4×D4—21no—
872C4×D4—21no—
873C4×D4—21no—
874C4×D4—21no—
875C4×D4—21no—
876C4×D4—21no—
877C4×D4—21no—
878C4×D4—21no—
879C4×D4—21no—
880C4×D4—21no—
881C4×D4—21no—
882C4×D4—41no—
883C4×D4—41no—
884C4×D4—41no—
885C4×D4—41no—
886C4×D4—41no—
887C4×D4—41no—
888C4×D4—41no—
889C4×D4—41no—
890C4×D4—41no—
891C4×D4—41no—
892C4×D4C2×D411yescharacteristic
893C4×D4C2×D411yescharacteristic
894C4×D4C2411yescharacteristic
895C4×D4C2411yescharacteristic
896C4×D4C2411yescharacteristic
897C4×D4C2411yescharacteristic
898#117—21no—
899#117—21no—
900#117—21no—
901#117—21no—
902#117—21no—
903#117—21no—
904#117—21no—
905#117—41no—
906#117—41no—
907#117—41no—
908#117—41no—
909#117C2×D411yescharacteristic
910#117C2×D411yescharacteristic
911C2×C4⋊C4—21no—
912C2×C4⋊C4—41no—
913C2×C22⋊C4—41no—
914C2×C22⋊C4—41no—
915C2×C22⋊C4—41no—
916C2×C22⋊C4—41no—
917C2×C22⋊C4—41no—
918C2×C22⋊C4—41no—
919C2×C22⋊C4—41no—
920C2×C22⋊C4—41no—
921C2×C22⋊C4—41no—
922C2×C42—21no—
923C2×C42—21no—
924C2×C42C2411yescharacteristic
925#107—21no—
926#107—21no—
927#107—21no—
928#107—21no—
929#107—21no—
930#107—21no—
931#107—21no—
932#107—21no—
933#107—41no—
934#107—41no—
935#107C2×D411yescharacteristic
936#107C2×D411yescharacteristic
937#107C2×D411yescharacteristic
938#107C2×D411yescharacteristic
939#106—21no—
940#106—21no—
941#106—21no—
942#106—21no—
943#106C2×D411yescharacteristic
944#106C2×D411yescharacteristic
945#106C2×D411yescharacteristic
946#106C2×D411yescharacteristic
947C4⋊C8—21no—
948C4⋊C8—21no—
949C4⋊C8—21no—
950C4⋊C8—21no—
951C4⋊C8—21no—
952C4⋊C8—21no—
953C4⋊C8—21no—
954C4⋊C8—21no—
955C4⋊C8C2411yescharacteristic
956C4⋊C8C2411yescharacteristic
957C4⋊C8C2411yescharacteristic
958C4⋊C8C2411yescharacteristic
959C4⋊C8C2411yescharacteristic
960C4⋊C8C2411yescharacteristic
961C4⋊C8C2411yescharacteristic
962C4⋊C8C2411yescharacteristic
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—21no—
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
982#103C2×D411yescharacteristic
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—41no—
1012#102—41no—
1013#102—41no—
1014#102—41no—
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040#97—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8—21no—
1047C4×C8—21no—
1048C4×C8C2×D411yescharacteristic
1049C4×C8C2×D411yescharacteristic
1050C4×C8C2×D411yescharacteristic
1051C4×C8C2×D411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C4×C8C2411yescharacteristic
1056C4×C8C2411yescharacteristic
1057C4×C8C2411yescharacteristic
1058C24—41no—
1059C24—41no—
1060C24—41no—
1061#41—22no—
1062#41—41no—
1063#41—41no—
1064#41—41no—
1065#41—42no—
1066#41—81no—
1067#41—81no—
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—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—41no—
1084C2×Q8—41no—
1085C2×Q8—41no—
1086C2×Q8—81no—
1087C2×Q8—81no—
1088C2×Q8—81no—
1089C2×Q8—81no—
1090C2×Q8—81no—
1091C2×Q8—81no—
1092C2×Q8C22×D411yescharacteristic
1093C2×Q8C22×D411yescharacteristic
1094C2×Q8C22×D411yescharacteristic
1095C2×Q8C22×D411yescharacteristic
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—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4C22×D411yescharacteristic
1140C2×D4C22×D411yescharacteristic
1141C2×D4C22×D411yescharacteristic
1142C2×D4C22×D411yescharacteristic
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4C22×D411yescharacteristic
1165C22×C4C22×D411yescharacteristic
1166C22×C4H(5,𝔽2)11yescharacteristic
1167Q16—22no—
1168Q16—41no—
1169Q16—42no—
1170Q16—42no—
1171Q16—81no—
1172Q16—81no—
1173Q16—81no—
1174Q16—81no—
1175Q16—81no—
1176Q16—81no—
1177SD16—22no—
1178SD16—22no—
1179SD16—22no—
1180SD16—41no—
1181SD16—42no—
1182SD16—42no—
1183SD16—42no—
1184SD16—42no—
1185SD16—42no—
1186SD16—81no—
1187SD16—81no—
1188SD16—81no—
1189SD16—81no—
1190SD16—81no—
1191SD16—81no—
1192SD16—81no—
1193SD16—81no—
1194SD16—81no—
1195SD16—81no—
1196SD16—81no—
1197SD16—81no—
1198SD16—81no—
1199SD16—81no—
1200SD16—81no—
1201D8—22no—
1202D8—22no—
1203D8—42no—
1204D8—42no—
1205D8—42no—
1206D8—42no—
1207D8—42no—
1208D8—42no—
1209D8—42no—
1210D8—81no—
1211D8—81no—
1212D8—81no—
1213D8—81no—
1214D8—81no—
1215D8—81no—
1216D8—81no—
1217D8—81no—
1218D8—81no—
1219D8—82no—
1220D8—82no—
1221M16—42no—
1222M16—42no—
1223M16—42no—
1224M16—81no—
1225C2×C8—22no—
1226C2×C8—22no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—41no—
1238C2×C8—41no—
1239C2×C8—42no—
1240C2×C8—42no—
1241C2×C8—42no—
1242C2×C8—81no—
1243C2×C8—81no—
1244C2×C8C22×D411yescharacteristic
1245C2×C8C22×D411yescharacteristic
1246C2×C8C22×D411yescharacteristic
1247C2×C8C22×D411yescharacteristic
1248C2×C8C22×D411yescharacteristic
1249C2×C8C22×D411yescharacteristic
1250C2×C8C22×D411yescharacteristic
1251C2×C8C22×D411yescharacteristic
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4C22×D411yescharacteristic
1283C4⋊C4C22×D411yescharacteristic
1284C4⋊C4C22×D411yescharacteristic
1285C4⋊C4C22×D411yescharacteristic
1286C4⋊C4C22×D411yescharacteristic
1287C4⋊C4C22×D411yescharacteristic
1288C4⋊C4C22×D411yescharacteristic
1289C4⋊C4C22×D411yescharacteristic
1290C22⋊C4—21no—
1291C22⋊C4—21no—
1292C22⋊C4—21no—
1293C22⋊C4—21no—
1294C22⋊C4—21no—
1295C22⋊C4—21no—
1296C22⋊C4—21no—
1297C22⋊C4—21no—
1298C22⋊C4—21no—
1299C22⋊C4—21no—
1300C22⋊C4—21no—
1301C22⋊C4—21no—
1302C22⋊C4—21no—
1303C22⋊C4—21no—
1304C22⋊C4—21no—
1305C22⋊C4—21no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C42—21no—
1339C42—21no—
1340C42—21no—
1341C42—21no—
1342C42—21no—
1343C42—21no—
1344C42—21no—
1345C42—21no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42C22×D411yescharacteristic
1351C42C22×D411yescharacteristic
1352C42H(5,𝔽2)11yescharacteristic
1353C42C2511yescharacteristic
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—82no—
1363C23—82no—
1364C23—82no—
1365C23—161no—
1366C23—161no—
1367C23—161no—
1368C23—161no—
1369C23—161no—
1370C23—161no—
1371C23D4211yescharacteristic
1372Q8—21no—
1373Q8—21no—
1374Q8—21no—
1375Q8—21no—
1376Q8—21no—
1377Q8—21no—
1378Q8—21no—
1379Q8—21no—
1380Q8—41no—
1381Q8—41no—
1382Q8—41no—
1383Q8—41no—
1384Q8—41no—
1385Q8—41no—
1386Q8—41no—
1387Q8—41no—
1388Q8—161no—
1389Q8—161no—
1390Q8—161no—
1391D4—21no—
1392D4—21no—
1393D4—21no—
1394D4—21no—
1395D4—21no—
1396D4—21no—
1397D4—21no—
1398D4—42no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—81no—
1416D4—81no—
1417D4—81no—
1418D4—81no—
1419D4—81no—
1420D4—81no—
1421D4—81no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
1425D4—82no—
1426D4—161no—
1427D4—161no—
1428D4—161no—
1429D4—161no—
1430D4—161no—
1431D4—161no—
1432D4—161no—
1433D4—161no—
1434D4—161no—
1435D4—161no—
1436D4—161no—
1437D4#57512yes—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—41no—
1455C2×C4—42no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—81no—
1469C2×C4—81no—
1470C2×C4—81no—
1471C2×C4—82no—
1472C2×C4—161no—
1473C2×C4—161no—
1474C2×C4—161no—
1475C2×C4—161no—
1476C2×C4—161no—
1477C2×C4—161no—
1478C2×C4—161no—
1479C2×C4—161no—
1480C2×C4—161no—
1481C2×C4—161no—
1482C2×C4—161no—
1483C2×C4—161no—
1484C2×C4D4211yescharacteristic
1485C2×C4D4211yescharacteristic
1486C2×C4D4211yescharacteristic
1487C2×C4C23×D411yescharacteristic
1488C2×C4C23×D411yescharacteristic
1489C2×C4C2×H(5,𝔽2)11yescharacteristic
1490C8—21no—
1491C8—21no—
1492C8—21no—
1493C8—21no—
1494C8—21no—
1495C8—21no—
1496C8—41no—
1497C8—41no—
1498C8—41no—
1499C8—41no—
1500C8—41no—
1501C8—41no—
1502C8—41no—
1503C8—41no—
1504C8—41no—
1505C8—41no—
1506C8#57612yes—
1507C8#57612yes—
1508C22—21no—
1509C22—22no—
1510C22—21no—
1511C22—21no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—322no—
1536C22—322no—
1537C22—322no—
1538C22C2×D4211yescharacteristic
1539C4—21no—
1540C4—21no—
1541C4—21no—
1542C4—21no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—81no—
1556C4—81no—
1557C4—81no—
1558C4—81no—
1559C4C2×#57511yescharacteristic
1560C4C2×#57611yescharacteristic
1561C4C2×#57611yescharacteristic
1562C4#358411yescharacteristic
1563C2—41no—
1564C2—42no—
1565C2—81no—
1566C2—81no—
1567C2—81no—
1568C2—161no—
1569C2—161no—
1570C2—161no—
1571C2—161no—
1572C2#6103011yescharacteristic
1573C2#6108911yescharacteristic
1574C2#6110011yescharacteristic
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. #62429C2semidirect
2. #62419C2semidirect
3. #61494C2semidirect
4. #61475C2semidirect
5. #20282C2semidirect
6. #20266C2semidirect
7. #20250C2semidirect
8. #20234C2semidirect
9. #20208C2semidirect
10. #20192C2semidirect
11. #20176C2semidirect
12. #20160C2semidirect
13. #19874C2semidirect
14. #19872C2semidirect
15. #19871C2semidirect
16. #19870C2semidirect
17. #19761C2semidirect
18. #19757C2semidirect
19. #19756C2semidirect
20. #19755C2semidirect
21. #19616C2semidirect
22. #19294C2semidirect
23. #19269C2semidirect
24. #19225C2semidirect
25. #19219C2semidirect
26. #18670C2semidirect
27. #18658C2semidirect
28. #18658C2semidirect
29. #18658C2semidirect
30. #17963C2semidirect
31. #17863C2semidirect
32. #3517C22semidirect
34. #3514C22semidirect
35. #3514C22semidirect
36. #3400C22semidirect
37. #3399C22semidirect
38. #3399C22semidirect
39. #3398C22semidirect
41. #3396C22semidirect
42. #3396C22semidirect
44. #3394C22semidirect
46. #3386C22semidirect
49. #3373C22semidirect
50. #3365C22semidirect
52. #3353C22semidirect
54. #3342C22semidirect
57. #3324C22semidirect
61. #3304C22semidirect
64. D4×Q16C22semidirect
69. D4×SD16C22semidirect
74. #3278C22semidirect
75. #3276C22semidirect
76. #3274C22semidirect
77. #3274C22semidirect
86. #3212C22semidirect
87. #3212C22semidirect
88. #3212C22semidirect
95. #3169C22semidirect
96. #3169C22semidirect
97. #3169C22semidirect
98. #3169C22semidirect
102. #3147C22semidirect
103. #3147C22semidirect
110. #3115C22semidirect
111. #3115C22semidirect
112. #3115C22semidirect
113. #2966C22semidirect
114. #2966C22semidirect
115. #2965C22semidirect
116. C8×#41C22semidirect
120. #1722C22semidirect
121. #1722C22semidirect
122. #1722C22semidirect
123. #1722C22semidirect
125. #1721C22semidirect
126. #1721C22semidirect
127. #1721C22semidirect
128. #1702C22semidirect
129. #1702C22semidirect
130. #1701C22semidirect
131. #1701C22semidirect
132. #1694C22semidirect
133. #1693C22semidirect
134. #1690C22semidirect
135. #1689C22semidirect
136. #1688C22semidirect
137. #1688C22semidirect
140. #1686C22semidirect
141. #1686C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1682C22semidirect
145. #1682C22semidirect
147. #1681C22semidirect
148. #1674C22semidirect
149. #1673C22semidirect
150. #1670C22semidirect
151. #1669C22semidirect
152. #1668C22semidirect
153. #1668C22semidirect
156. #1666C22semidirect
157. #1666C22semidirect
159. #1665C22semidirect
160. #1650C22semidirect
161. #1650C22semidirect
162. #1650C22semidirect
163. #1649C22semidirect
164. #1649C22semidirect
165. #1649C22semidirect
166. #1648C22semidirect
167. #1647C22semidirect
168. #1642C22semidirect
169. #1641C22semidirect
170. #1640C22semidirect
171. #1640C22semidirect
172. #1640C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
177. #1628C22semidirect
178. #1628C22semidirect
180. #1627C22semidirect
181. #1627C22semidirect
182. #1626C22semidirect
184. #1621C22semidirect
185. #1621C22semidirect
186. #1620C22semidirect
187. #1620C22semidirect
188. #1620C22semidirect
193. #1593C22semidirect
194. #1592C22semidirect
195. #1592C22semidirect
196. #1584C22semidirect
197. #1584C22semidirect
198. #1583C22semidirect
199. #1583C22semidirect
200. #1582C22semidirect
201. #1582C22semidirect
205. #1579C22semidirect
206. SD16⋊C8C22semidirect
207. SD16⋊C8C22semidirect
208. #1568C22semidirect
209. #1564C22semidirect
210. #1553C22semidirect
211. #1553C22semidirect
212. #1553C22semidirect
213. #1553C22semidirect
214. #1494C22semidirect
215. #1494C22semidirect
216. #1476C22semidirect
217. #1476C22semidirect
218. C2×#322C22semidirect

Maximal subgroups

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

subgroupindex
#624292
#624192
#614942
#614752
#202822
#202662
#202502
#202342
#202082
#201922
#201762
#201602
#198742
#198722
#198712
#198702
#197612
#197572
#197562
#197552
#196162
#192942
#192692
#192252
#192192
#186702
#186582
#179632
#178632