Finite Group Databasebeta

← #6362667

Subgroups — #6362667

Order 512.

1686 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61839C211yesmaximal, characteristic, complemented
2#61598C211yesmaximal, characteristic
3SD16×#41C211yesmaximal, characteristic, complemented
4#61212C211yesmaximal, characteristic, complemented
5#20109C211yesmaximal, characteristic, complemented
6#20104C211yesmaximal, characteristic, complemented
7#20088C211yesmaximal, characteristic, complemented
8#20081C211yesmaximal, characteristic, complemented
9#20073C211yesmaximal, characteristic, complemented
10#20054C211yesmaximal, characteristic, complemented
11#20046C211yesmaximal, characteristic, complemented
12#20038C211yesmaximal, characteristic, complemented
13#19998C211yesmaximal, characteristic, complemented
14#19988C211yesmaximal, characteristic, complemented
15#19978C211yesmaximal, characteristic, complemented
16#19976C211yesmaximal, characteristic, complemented
17#19923C211yesmaximal, characteristic, complemented
18#19914C211yesmaximal, characteristic, complemented
19#19893C211yesmaximal, characteristic, complemented
20#19891C211yesmaximal, characteristic, complemented
21#19649C211yesmaximal, characteristic, complemented
22#19473C211yesmaximal, characteristic, complemented
23#19466C211yesmaximal, characteristic, complemented
24#19334C211yesmaximal, characteristic, complemented
25#19278C211yesmaximal, characteristic, complemented
26#18604C211yesmaximal, characteristic, complemented
27#18599C211yesmaximal, characteristic, complemented
28#18556C211yesmaximal, characteristic, complemented
29#18555C211yesmaximal, characteristic, complemented
30#18056C211yesmaximal, characteristic, complemented
31#17912C211yesmaximal, characteristic, complemented
32#3507C2211yescharacteristic, complemented
33#3496C2211yescharacteristic
34Q8×#41C2211yescharacteristic, complemented
35D4×#41C2211yescharacteristic
36#3392C2211yescharacteristic, complemented
37#3390—21no—
38#3388—21no—
39#3385C2211yescharacteristic, complemented
40#3384C2211yescharacteristic, complemented
41#3381C2211yescharacteristic, complemented
42#3380C2211yescharacteristic, complemented
43Q8×SD16C2211yescharacteristic, complemented
44#3371—21no—
45#3370—21no—
46#3369C2211yescharacteristic, complemented
47#3367C2211yescharacteristic, complemented
48#3364C2211yescharacteristic, complemented
49#3362C2211yescharacteristic, complemented
50#3360C2211yescharacteristic, complemented
51#3359C2211yescharacteristic, complemented
52#3335—21no—
53#3335C2211yescharacteristic, complemented
54#3332C2211yescharacteristic
55#3331C2211yescharacteristic
56#3331C2211yescharacteristic, complemented
57#3330C2211yescharacteristic
58#3324C2211yescharacteristic
59#3324C2211yescharacteristic, complemented
60#3323—21no—
61#3323—21no—
62#3308—21no—
63#3306—21no—
64#3302C2211yescharacteristic
65#3302C2211yescharacteristic, complemented
66#3298—21no—
67#3298C2211yescharacteristic
68#3298C2211yescharacteristic, complemented
69#3296—21no—
70#3296—21no—
71#3295—21no—
72#3295C2211yescharacteristic
73#3295C2211yescharacteristic, complemented
74#3295C2211yescharacteristic, complemented
75#3294C2211yescharacteristic
76D4×SD16—21no—
77D4×SD16C2211yescharacteristic
78D4×SD16C2211yescharacteristic, complemented
79D4×D8C2211yescharacteristic
80#3274C2211yescharacteristic
81#3272C2211yescharacteristic
82#3265—21no—
83#3264—21no—
84#3240—21no—
85#3235C2211yescharacteristic, complemented
86#3233—21no—
87#3231C2211yescharacteristic, complemented
88#3214C2211yescharacteristic
89#3207C2211yescharacteristic
90#3194—21no—
91#3188—21no—
92#3182C2211yescharacteristic, complemented
93#3182C2211yescharacteristic, complemented
94#3167—21no—
95#3167C2211yescharacteristic, complemented
96#3131C2211yescharacteristic, complemented
97#3116C2211yescharacteristic, complemented
98#3115C2211yescharacteristic
99#3111—21no—
100#3106C2211yescharacteristic
101#3103—21no—
102#3103C2211yescharacteristic, complemented
103#3102—21no—
104#3101—21no—
105#3101C2211yescharacteristic
106#3099—21no—
107#3077C2211yescharacteristic
108#3063—21no—
109#3037C2211yescharacteristic, complemented
110#3009—21no—
111#3006—21no—
112C2×#449—21no—
113#2984C2211yescharacteristic, complemented
114#2974C2211yescharacteristic
115C8×#41C2211yescharacteristic, complemented
116C2×C4×SD16—21no—
117C2×C4×SD16C2211yescharacteristic
118#2931C2211yescharacteristic, complemented
119#2897—21no—
120#1718C2211yescharacteristic, complemented
121#1717C2211yescharacteristic, complemented
122#1714C2211yescharacteristic, complemented
123#1714C2211yescharacteristic, complemented
124#1711C2211yescharacteristic, complemented
125#1710C2211yescharacteristic, complemented
126#1708C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1700C2211yescharacteristic, complemented
131#1699C2211yescharacteristic, complemented
132#1695C2211yescharacteristic, complemented
133#1691C2211yescharacteristic, complemented
134#1691C2211yescharacteristic, complemented
135#1691C2211yescharacteristic, complemented
136#1688C2211yescharacteristic, complemented
137#1686C2211yescharacteristic, complemented
138#1685C2211yescharacteristic, complemented
139#1685C2211yescharacteristic, complemented
140#1684C2211yescharacteristic, complemented
141#1683C2211yescharacteristic, complemented
142#1683C2211yescharacteristic, complemented
143#1682C2211yescharacteristic, complemented
144#1682C2211yescharacteristic, complemented
145#1681C2211yescharacteristic, complemented
146#1680C2211yescharacteristic, complemented
147#1680C2211yescharacteristic, complemented
148#1679C2211yescharacteristic, complemented
149#1679C2211yescharacteristic, complemented
150#1679C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1678C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1677C2211yescharacteristic, complemented
155#1677C2211yescharacteristic, complemented
156#1675C2211yescharacteristic, complemented
157#1671C2211yescharacteristic, complemented
158#1668C2211yescharacteristic, complemented
159#1666C2211yescharacteristic, complemented
160#1650C2211yescharacteristic, complemented
161#1650C2211yescharacteristic, complemented
162#1649C2211yescharacteristic, complemented
163#1649C2211yescharacteristic, complemented
164#1648C2211yescharacteristic, complemented
165#1647C2211yescharacteristic
166#1647C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1645C2211yescharacteristic, complemented
169#1644C2211yescharacteristic, complemented
170#1643C2211yescharacteristic, complemented
171#1643C2211yescharacteristic, complemented
172#1641C2211yescharacteristic, complemented
173#1639C2211yescharacteristic
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1637C2211yescharacteristic, complemented
177#1635C2211yescharacteristic
178#1635C2211yescharacteristic, complemented
179#1635C2211yescharacteristic, complemented
180#1631C2211yescharacteristic, complemented
181#1629C2211yescharacteristic
182#1629C2211yescharacteristic, complemented
183#1629C2211yescharacteristic, complemented
184#1628C2211yescharacteristic, complemented
185#1628C2211yescharacteristic, complemented
186#1627C2211yescharacteristic, complemented
187#1626C2211yescharacteristic, complemented
188#1623C2211yescharacteristic, complemented
189#1622C2211yescharacteristic, complemented
190#1622C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1590C2211yescharacteristic, complemented
193#1590C2211yescharacteristic, complemented
194#1588C2211yescharacteristic, complemented
195#1588C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1588C2211yescharacteristic, complemented
198#1586C2211yescharacteristic, complemented
199#1586C2211yescharacteristic, complemented
200#1585C2211yescharacteristic, complemented
201#1585C2211yescharacteristic, complemented
202C8×SD16C2211yescharacteristic, complemented
203C8×SD16C2211yescharacteristic, complemented
204C8×SD16C2211yescharacteristic, complemented
205C8×SD16C2211yescharacteristic, complemented
206C8×D8C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1568C2211yescharacteristic, complemented
210#1559C2211yescharacteristic, complemented
211#1557C2211yescharacteristic, complemented
212#1554C2211yescharacteristic, complemented
213#1553C2211yescharacteristic, complemented
214#1491C2211yescharacteristic, complemented
215#1490C2211yescharacteristic
216#1489C2211yescharacteristic, complemented
217#1484C2211yescharacteristic, complemented
218C8×M16C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C22×#41—21no—
221C2×#137—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C22×SD16—21no—
225C22×SD16—21no—
226C22×SD16D411yescharacteristic
227C22×D8—21no—
228C2×#131—21no—
229#559—21no—
230Q82C2311yescharacteristic
231#557—21no—
232#557—21no—
233#557C2311yescharacteristic
234#556—41no—
235#556C2311yescharacteristic
236#556C2311yescharacteristic
237#554—21no—
238#554—21no—
239#554—41no—
240#554C2311yescharacteristic
241#554C2311yescharacteristic
242#554C2311yescharacteristic
243#552—21no—
244#552—21no—
245#550C2311yescharacteristic
246D4×Q8—21no—
247D4×Q8C2311yescharacteristic
248D4×Q8C2311yescharacteristic
249#548—21no—
250#547—21no—
251#547—21no—
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#546—21no—
256#546—21no—
257#546—21no—
258#546—41no—
259#546—41no—
260D42—21no—
261D42—21no—
262D42C2311yescharacteristic
263D42C2311yescharacteristic
264D42C2311yescharacteristic
265#539—41no—
266#537—21no—
267#536—21no—
268#534—41no—
269#533—21no—
270#533—21no—
271#533—41no—
272#533C2311yescharacteristic
273#533C2311yescharacteristic
274#532—21no—
275#532C2311yescharacteristic
276#532C2311yescharacteristic
277#532C2311yescharacteristic
278#529—21no—
279#529—21no—
280#525—21no—
281#525—41no—
282C2×#121—21no—
283C2×#121—21no—
284#520—21no—
285C4×#41—21no—
286C4×#41C2311yescharacteristic
287C2×C4×Q8—21no—
288C2×C4×Q8C2311yescharacteristic
289C2×C4×D4—21no—
290C2×C4×D4C2311yescharacteristic
291#501—21no—
292#501—21no—
293#501—21no—
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#499—21no—
298#499—21no—
299#498—21no—
300#498C2311yescharacteristic
301#498C2311yescharacteristic
302#496—21no—
303#493C2311yescharacteristic
304#492—21no—
305#492C2311yescharacteristic
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#490—21no—
310#489—21no—
311#489—21no—
312#489—21no—
313#488—21no—
314#488—21no—
315#488—21no—
316#488—21no—
317#487—21no—
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#487C2311yescharacteristic
326#486—21no—
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#485—21no—
334#485—21no—
335#485—21no—
336#485—21no—
337#485—21no—
338#484—21no—
339#483—21no—
340#483—21no—
341#483—21no—
342#483—21no—
343#483—21no—
344#483—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#482—21no—
350#482D411yescharacteristic
351#482D411yescharacteristic
352#481—21no—
353#481—21no—
354#481—21no—
355#481—21no—
356#481—21no—
357#481—21no—
358#480—21no—
359#479—21no—
360#479—21no—
361#479—21no—
362#479—21no—
363#479—21no—
364#479—21no—
365#478—21no—
366#478—21no—
367#478—21no—
368#478—21no—
369#478—21no—
370#478—21no—
371#477—21no—
372#477D411yescharacteristic
373#477C2311yescharacteristic
374#476—21no—
375#476—21no—
376#476—21no—
377#476D411yescharacteristic
378#476C2311yescharacteristic
379#476C2311yescharacteristic
380#476C2311yescharacteristic
381#476C2311yescharacteristic
382#476C2311yescharacteristic
383#476C2311yescharacteristic
384#476C2311yescharacteristic
385#475—21no—
386#475—21no—
387#475—21no—
388#475C2311yescharacteristic
389#475C2311yescharacteristic
390#475C2311yescharacteristic
391#474—21no—
392#474C2311yescharacteristic
393#474C2311yescharacteristic
394#474C2311yescharacteristic
395#474C2311yescharacteristic
396#474C2311yescharacteristic
397#470—21no—
398#470—21no—
399#469—21no—
400#469—21no—
401#468—21no—
402#468—21no—
403#468—21no—
404#468—21no—
405#468—41no—
406#468—41no—
407#467—21no—
408#467—21no—
409#466—21no—
410#466—21no—
411#465—21no—
412#465—21no—
413#465—21no—
414#465—21no—
415#465—21no—
416#465—21no—
417#465—21no—
418#465—21no—
419#465—21no—
420#465—21no—
421#464—21no—
422#464—21no—
423#464—21no—
424#464—21no—
425#463—21no—
426#463—21no—
427#463—21no—
428#463—21no—
429#462C2311yescharacteristic
430#462C2311yescharacteristic
431#462C2311yescharacteristic
432#461—21no—
433#461—21no—
434#461C2311yescharacteristic
435#461C2311yescharacteristic
436#461C2311yescharacteristic
437#461C2311yescharacteristic
438#461C2311yescharacteristic
439#460—21no—
440#460—21no—
441#460D411yescharacteristic
442#460C2311yescharacteristic
443#460C2311yescharacteristic
444#460C2311yescharacteristic
445#460C2311yescharacteristic
446#460C2311yescharacteristic
447#459D411yescharacteristic
448#459C2311yescharacteristic
449#459C2311yescharacteristic
450#459C2311yescharacteristic
451#452—21no—
452#452—21no—
453#452—21no—
454#452—21no—
455#452—21no—
456#450—21no—
457#450—21no—
458#450—21no—
459#450—21no—
460#450—21no—
461#450—21no—
462#450—21no—
463#450—21no—
464#450—21no—
465#449—21no—
466#449—21no—
467#449—21no—
468#449—21no—
469#449—21no—
470#449—21no—
471#449—21no—
472#449—21no—
473#449—21no—
474#449D411yescharacteristic
475#449D411yescharacteristic
476#448—21no—
477#448—21no—
478#448—21no—
479#448—21no—
480#448—21no—
481#447—21no—
482#447—21no—
483#447—21no—
484#447—21no—
485#446—21no—
486#446—21no—
487#446C2311yescharacteristic
488#446C2311yescharacteristic
489C8×Q8C2311yescharacteristic
490C8×Q8C2311yescharacteristic
491C8×Q8C2311yescharacteristic
492C8×Q8C2311yescharacteristic
493#442—21no—
494#442—21no—
495#441—21no—
496#441—21no—
497#440—21no—
498#440—21no—
499#440—21no—
500#440—21no—
501#440—41no—
502#440—41no—
503C4×Q16—21no—
504C4×SD16—21no—
505C4×SD16—21no—
506C4×SD16—21no—
507C4×SD16—21no—
508C4×SD16—21no—
509C4×SD16—21no—
510C4×SD16—21no—
511C4×SD16—21no—
512C4×SD16—21no—
513C4×SD16—21no—
514C4×SD16—21no—
515C4×SD16—21no—
516C4×SD16D411yescharacteristic
517C4×SD16D411yescharacteristic
518C4×SD16D411yescharacteristic
519C4×SD16D411yescharacteristic
520C4×SD16C2311yescharacteristic
521C4×SD16C2311yescharacteristic
522C4×SD16C2311yescharacteristic
523C4×SD16C2311yescharacteristic
524C4×SD16C2311yescharacteristic
525C4×SD16C2311yescharacteristic
526C4×D8—21no—
527C4×D8C2311yescharacteristic
528C4×D8C2311yescharacteristic
529#436—21no—
530#436C2311yescharacteristic
531#436C2311yescharacteristic
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#435—21no—
535#435—21no—
536C8×D4—21no—
537C8×D4—21no—
538C8×D4—21no—
539C8×D4C2311yescharacteristic
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic
542C8×D4C2311yescharacteristic
543C8×D4C2311yescharacteristic
544C8×D4C2311yescharacteristic
545#432—21no—
546#432C2311yescharacteristic
547#432C2311yescharacteristic
548#431—21no—
549#431—21no—
550#431C2311yescharacteristic
551#431C2311yescharacteristic
552#428—21no—
553C2×#106—21no—
554C2×#106D411yescharacteristic
555#423C2311yescharacteristic
556#418—21no—
557#418—21no—
558#418—21no—
559#417—21no—
560#417—21no—
561#417—21no—
562#417—21no—
563#417—21no—
564#416—21no—
565#416—21no—
566#416—21no—
567#416—21no—
568C2×#103—21no—
569C2×#103—21no—
570C2×#103D411yescharacteristic
571C2×#102—21no—
572C2×#102—21no—
573C2×#102—21no—
574C2×#102—21no—
575C2×#102D411yescharacteristic
576#408—21no—
577#407—21no—
578C2×C22⋊C8—21no—
579C4×M16C2311yescharacteristic
580C2×C4×C8—21no—
581C2×C4×C8C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624C82C2311yescharacteristic
625C82C2311yescharacteristic
626H(5,𝔽2)—44no—
627H(5,𝔽2)—82no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—41no—
636C2×#41—41no—
637C2×#41—41no—
638C2×#41—82no—
639C2×#41—82no—
640C2×#41C2×D411yescharacteristic
641C22×Q8—21no—
642C22×Q8—21no—
643C22×Q8C2×D411yescharacteristic
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—
653C22×D4—41no—
654C22×D4C2×D411yescharacteristic
655C23×C4—21no—
656C23×C4—41no—
657#137—82no—
658AGL(1,ℤ/8)—82no—
659AGL(1,ℤ/8)—82no—
660C2×Q16—21no—
661C2×Q16—21no—
662C2×Q16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
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—41no—
678C2×SD16—41no—
679C2×SD16—42no—
680C2×SD16—44no—
681C2×SD16—82no—
682C2×SD16C2×D411yescharacteristic
683C2×SD16C2×D411yescharacteristic
684C2×SD16C2×D411yescharacteristic
685C2×SD16C2×D411yescharacteristic
686C2×SD16C2×D411yescharacteristic
687C2×SD16C2×D411yescharacteristic
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—82no—
694C2×D8C2×D411yescharacteristic
695C2×D8C2×D411yescharacteristic
696#131—82no—
697C2×M16—21no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—21no—
703C22×C8—21no—
704C22×C8—21no—
705C22×C8—21no—
706C22×C8—21no—
707C22×C8—21no—
708C22×C8—21no—
709C22×C8C2×D411yescharacteristic
710C22×C8C2×D411yescharacteristic
711C4⋊Q8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—21no—
714C4⋊Q8—21no—
715C4⋊Q8—21no—
716C4⋊Q8—41no—
717C4⋊Q8—41no—
718C4⋊Q8—41no—
719C4⋊Q8C2×D411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722C4⋊Q8C2411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725C4⋊Q8C2411yescharacteristic
726#127—21no—
727#127C2×D411yescharacteristic
728#127C2411yescharacteristic
729#127C2411yescharacteristic
730#126—41no—
731#126—41no—
732#126—41no—
733#126—41no—
734#125—21no—
735#125—21no—
736#125—21no—
737#125—21no—
738#125—21no—
739#125—21no—
740#125—41no—
741#125—41no—
742#125—41no—
743#125—41no—
744#125—41no—
745#124—21no—
746#124—21no—
747#124—21no—
748#124—21no—
749#124—21no—
750#124—41no—
751#124—41no—
752#123—41no—
753#123—41no—
754#123—41no—
755#123—41no—
756#123—41no—
757#123—41no—
758#123—41no—
759#123—41no—
760#123—41no—
761#123—41no—
762#123—41no—
763C22⋊Q8—21no—
764C22⋊Q8—21no—
765C22⋊Q8—21no—
766C22⋊Q8—21no—
767C22⋊Q8—21no—
768C22⋊Q8—21no—
769C22⋊Q8—21no—
770C22⋊Q8—21no—
771C22⋊Q8—21no—
772C22⋊Q8—21no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789#121—21no—
790#121—21no—
791#121—21no—
792#121—21no—
793#121—21no—
794#121—21no—
795#121—21no—
796#121—21no—
797#121—21no—
798#121—21no—
799#121—21no—
800#121—21no—
801#121—21no—
802#121—21no—
803#121—21no—
804#121—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#121—41no—
809#121—41no—
810#121—41no—
811#121—41no—
812#121C2×D411yescharacteristic
813#121C2×D411yescharacteristic
814#120—41no—
815#120—41no—
816#120—41no—
817#120—41no—
818#120—41no—
819#120—41no—
820#120—41no—
821C4×Q8—21no—
822C4×Q8—21no—
823C4×Q8—21no—
824C4×Q8—21no—
825C4×Q8—21no—
826C4×Q8—21no—
827C4×Q8—21no—
828C4×Q8—21no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8—41no—
834C4×Q8—41no—
835C4×Q8—41no—
836C4×Q8—41no—
837C4×Q8C2×D411yescharacteristic
838C4×Q8C2×D411yescharacteristic
839C4×Q8C2×D411yescharacteristic
840C4×Q8C2411yescharacteristic
841C4×Q8C2411yescharacteristic
842C4×Q8C2411yescharacteristic
843C4×D4—21no—
844C4×D4—21no—
845C4×D4—21no—
846C4×D4—21no—
847C4×D4—21no—
848C4×D4—21no—
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—41no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4—41no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4—41no—
866C4×D4C2×D411yescharacteristic
867C4×D4C2×D411yescharacteristic
868C4×D4C2×D411yescharacteristic
869C4×D4C2411yescharacteristic
870C4×D4C2411yescharacteristic
871C4×D4C2411yescharacteristic
872C4×D4C2411yescharacteristic
873C4×D4C2411yescharacteristic
874#117—21no—
875#117—21no—
876#117—21no—
877#117—21no—
878#117—21no—
879#117—41no—
880#117—41no—
881#117—41no—
882#117C2×D411yescharacteristic
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—41no—
891C2×C4⋊C4C2×D411yescharacteristic
892C2×C4⋊C4C2×D411yescharacteristic
893C2×C22⋊C4—21no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C42—21no—
898C2×C42—21no—
899C2×C42—41no—
900C2×C42C2411yescharacteristic
901#107—21no—
902#107—21no—
903#107—21no—
904#107—21no—
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107—41no—
910#107—41no—
911#107C2×D411yescharacteristic
912#107C2×D411yescharacteristic
913#106—21no—
914#106—21no—
915#106—21no—
916#106—21no—
917#106—21no—
918#106—21no—
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—21no—
924#106—21no—
925#106—21no—
926#106—21no—
927#106C2×D411yescharacteristic
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930#106C2×D411yescharacteristic
931#106C2×D411yescharacteristic
932#106C2×D411yescharacteristic
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8C2×D411yescharacteristic
941C4⋊C8C2×D411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950#103—21no—
951#103—21no—
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
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—41no—
975#103—41no—
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
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—41no—
1011#102—41no—
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022C22⋊C8—21no—
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—
1035C22⋊C8C2×D411yescharacteristic
1036C22⋊C8C2×D411yescharacteristic
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040#97—21no—
1041#97—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8—21no—
1047C4×C8C2×D411yescharacteristic
1048C4×C8C2×D411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C24—21no—
1056C24—41no—
1057C24—41no—
1058C24—41no—
1059#41—22no—
1060#41—22no—
1061#41—42no—
1062#41—42no—
1063#41—42no—
1064#41—42no—
1065#41—42no—
1066#41—42no—
1067#41—42no—
1068#41—42no—
1069#41—81no—
1070#41—81no—
1071#41—84no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075#41—81no—
1076#41—84no—
1077#41—84no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—41no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—42no—
1092C2×Q8—42no—
1093C2×Q8—81no—
1094C2×Q8—81no—
1095C2×Q8C22×D411yescharacteristic
1096C2×Q8C22×D411yescharacteristic
1097C2×Q8C22×D411yescharacteristic
1098C2×D4—21no—
1099C2×D4—22no—
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—41no—
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—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—84no—
1138C2×D4—84no—
1139C2×D4—84no—
1140C2×D4—84no—
1141C2×D4C22×D411yescharacteristic
1142C2×D4C22×D411yescharacteristic
1143C2×D4C22×D411yescharacteristic
1144C2×D4C22×D411yescharacteristic
1145C2×D4C22×D411yescharacteristic
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—81no—
1170C22×C4—81no—
1171C22×C4—84no—
1172C22×C4C22×D411yescharacteristic
1173C22×C4C22×D411yescharacteristic
1174C22×C4H(5,𝔽2)11yescharacteristic
1175Q16—42no—
1176Q16—81no—
1177Q16—81no—
1178SD16—22no—
1179SD16—22no—
1180SD16—22no—
1181SD16—22no—
1182SD16—41no—
1183SD16—41no—
1184SD16—42no—
1185SD16—42no—
1186SD16—42no—
1187SD16—42no—
1188SD16—42no—
1189SD16—81no—
1190SD16—81no—
1191SD16—81no—
1192SD16—82no—
1193SD16—82no—
1194SD16—81no—
1195SD16—81no—
1196SD16—81no—
1197SD16—81no—
1198SD16—81no—
1199SD16—81no—
1200D8—22no—
1201D8—22no—
1202D8—42no—
1203D8—81no—
1204D8—81no—
1205D8—81no—
1206D8—81no—
1207M16—42no—
1208M16—42no—
1209M16—81no—
1210M16—81no—
1211M16—81no—
1212M16—81no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—41no—
1224C2×C8—41no—
1225C2×C8—42no—
1226C2×C8—81no—
1227C2×C8—81no—
1228C2×C8—81no—
1229C2×C8—81no—
1230C2×C8—81no—
1231C2×C8C22×D411yescharacteristic
1232C2×C8C22×D411yescharacteristic
1233C2×C8C22×D411yescharacteristic
1234C2×C8C22×D411yescharacteristic
1235C2×C8C22×D411yescharacteristic
1236C2×C8C22×D411yescharacteristic
1237C2×C8C22×D411yescharacteristic
1238C2×C8C22×D411yescharacteristic
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
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—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
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—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
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—
1323C42—21no—
1324C42—21no—
1325C42—21no—
1326C42—21no—
1327C42—21no—
1328C42—21no—
1329C42—21no—
1330C42—41no—
1331C42—41no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42—41no—
1336C42C22×D411yescharacteristic
1337C42C22×D411yescharacteristic
1338C42H(5,𝔽2)11yescharacteristic
1339C42C2511yescharacteristic
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—42no—
1346C23—41no—
1347C23—41no—
1348C23—81no—
1349C23—81no—
1350C23—82no—
1351C23—82no—
1352C23—82no—
1353C23—82no—
1354C23—161no—
1355C23—161no—
1356C23—161no—
1357C23—161no—
1358C23—161no—
1359C23D4211yescharacteristic
1360Q8—21no—
1361Q8—21no—
1362Q8—21no—
1363Q8—21no—
1364Q8—21no—
1365Q8—42no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—41no—
1373Q8—41no—
1374Q8—81no—
1375Q8—82no—
1376Q8—81no—
1377Q8—81no—
1378Q8—82no—
1379Q8—161no—
1380Q8#57712yes—
1381D4—24no—
1382D4—21no—
1383D4—21no—
1384D4—21no—
1385D4—21no—
1386D4—21no—
1387D4—21no—
1388D4—21no—
1389D4—21no—
1390D4—42no—
1391D4—42no—
1392D4—42no—
1393D4—42no—
1394D4—41no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—81no—
1403D4—82no—
1404D4—81no—
1405D4—81no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—82no—
1415D4—161no—
1416D4—161no—
1417D4—161no—
1418D4#57512yes—
1419D4#57712yes—
1420C2×C4—24no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—81no—
1454C2×C4—81no—
1455C2×C4—81no—
1456C2×C4—82no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—82no—
1460C2×C4—81no—
1461C2×C4—81no—
1462C2×C4—81no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—161no—
1468C2×C4—161no—
1469C2×C4—161no—
1470C2×C4D4211yescharacteristic
1471C2×C4D4211yescharacteristic
1472C2×C4D4211yescharacteristic
1473C2×C4C23×D411yescharacteristic
1474C2×C4C23×D411yescharacteristic
1475C2×C4C2×H(5,𝔽2)11yescharacteristic
1476C8—22no—
1477C8—21no—
1478C8—21no—
1479C8—21no—
1480C8—21no—
1481C8—21no—
1482C8—21no—
1483C8—21no—
1484C8—21no—
1485C8—41no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C22—21no—
1495C22—22no—
1496C22—21no—
1497C22—22no—
1498C22—21no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—81no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—162no—
1519C22—164no—
1520C22—322no—
1521C22—322no—
1522C22C2×D4211yescharacteristic
1523C4—21no—
1524C4—22no—
1525C4—21no—
1526C4—21no—
1527C4—21no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—81no—
1539C4—81no—
1540C4—81no—
1541C4—81no—
1542C4—81no—
1543C4—81no—
1544C4C2×#57511yescharacteristic
1545C4C2×#57711yescharacteristic
1546C4C2×#57711yescharacteristic
1547C4#358511yescharacteristic
1548C2—41no—
1549C2—42no—
1550C2—42no—
1551C2—81no—
1552C2—81no—
1553C2—81no—
1554C2—161no—
1555C2—161no—
1556C2#6105011yescharacteristic
1557C2#6106611yescharacteristic
1558C2#6110511yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
prime radical#61598C2
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. #61839C2semidirect
3. SD16×#41C2semidirect
4. #61212C2semidirect
5. #20109C2semidirect
6. #20104C2semidirect
7. #20088C2semidirect
8. #20081C2semidirect
9. #20073C2semidirect
10. #20054C2semidirect
11. #20046C2semidirect
12. #20038C2semidirect
13. #19998C2semidirect
14. #19988C2semidirect
15. #19978C2semidirect
16. #19976C2semidirect
17. #19923C2semidirect
18. #19914C2semidirect
19. #19893C2semidirect
20. #19891C2semidirect
21. #19649C2semidirect
22. #19473C2semidirect
23. #19466C2semidirect
24. #19334C2semidirect
25. #19278C2semidirect
26. #18604C2semidirect
27. #18599C2semidirect
28. #18556C2semidirect
29. #18555C2semidirect
30. #18056C2semidirect
31. #17912C2semidirect
32. #3507C22semidirect
34. Q8×#41C22semidirect
36. #3392C22semidirect
39. #3385C22semidirect
40. #3384C22semidirect
41. #3381C22semidirect
42. #3380C22semidirect
43. Q8×SD16C22semidirect
46. #3369C22semidirect
47. #3367C22semidirect
48. #3364C22semidirect
49. #3362C22semidirect
50. #3360C22semidirect
51. #3359C22semidirect
53. #3335C22semidirect
56. #3331C22semidirect
59. #3324C22semidirect
65. #3302C22semidirect
68. #3298C22semidirect
73. #3295C22semidirect
74. #3295C22semidirect
78. D4×SD16C22semidirect
85. #3235C22semidirect
87. #3231C22semidirect
92. #3182C22semidirect
93. #3182C22semidirect
95. #3167C22semidirect
96. #3131C22semidirect
97. #3116C22semidirect
102. #3103C22semidirect
109. #3037C22semidirect
113. #2984C22semidirect
115. C8×#41C22semidirect
118. #2931C22semidirect
120. #1718C22semidirect
121. #1717C22semidirect
122. #1714C22semidirect
123. #1714C22semidirect
124. #1711C22semidirect
125. #1710C22semidirect
126. #1708C22semidirect
127. #1706C22semidirect
128. #1703C22semidirect
129. #1702C22semidirect
130. #1700C22semidirect
131. #1699C22semidirect
132. #1695C22semidirect
133. #1691C22semidirect
134. #1691C22semidirect
135. #1691C22semidirect
136. #1688C22semidirect
137. #1686C22semidirect
138. #1685C22semidirect
139. #1685C22semidirect
140. #1684C22semidirect
141. #1683C22semidirect
142. #1683C22semidirect
143. #1682C22semidirect
144. #1682C22semidirect
145. #1681C22semidirect
146. #1680C22semidirect
147. #1680C22semidirect
148. #1679C22semidirect
149. #1679C22semidirect
150. #1679C22semidirect
151. #1679C22semidirect
152. #1678C22semidirect
153. #1677C22semidirect
154. #1677C22semidirect
155. #1677C22semidirect
156. #1675C22semidirect
157. #1671C22semidirect
158. #1668C22semidirect
159. #1666C22semidirect
160. #1650C22semidirect
161. #1650C22semidirect
162. #1649C22semidirect
163. #1649C22semidirect
164. #1648C22semidirect
166. #1647C22semidirect
167. #1647C22semidirect
168. #1645C22semidirect
169. #1644C22semidirect
170. #1643C22semidirect
171. #1643C22semidirect
172. #1641C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
176. #1637C22semidirect
178. #1635C22semidirect
179. #1635C22semidirect
180. #1631C22semidirect
182. #1629C22semidirect
183. #1629C22semidirect
184. #1628C22semidirect
185. #1628C22semidirect
186. #1627C22semidirect
187. #1626C22semidirect
188. #1623C22semidirect
189. #1622C22semidirect
190. #1622C22semidirect
191. #1622C22semidirect
192. #1590C22semidirect
193. #1590C22semidirect
194. #1588C22semidirect
195. #1588C22semidirect
196. #1588C22semidirect
197. #1588C22semidirect
198. #1586C22semidirect
199. #1586C22semidirect
200. #1585C22semidirect
201. #1585C22semidirect
202. C8×SD16C22semidirect
203. C8×SD16C22semidirect
204. C8×SD16C22semidirect
205. C8×SD16C22semidirect
206. C8×D8C22semidirect
207. C8×D8C22semidirect
208. #1574C22semidirect
209. #1568C22semidirect
210. #1559C22semidirect
211. #1557C22semidirect
212. #1554C22semidirect
213. #1553C22semidirect
214. #1491C22semidirect
216. #1489C22semidirect
217. #1484C22semidirect
218. C8×M16C22semidirect

Maximal subgroups

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

subgroupindex
#618392
#615982
SD16×#412
#612122
#201092
#201042
#200882
#200812
#200732
#200542
#200462
#200382
#199982
#199882
#199782
#199762
#199232
#199142
#198932
#198912
#196492
#194732
#194662
#193342
#192782
#186042
#185992
#185562
#185552
#180562
#179122