Finite Group Databasebeta

← #6364298

Subgroups — #6364298

Order 512.

1705 conjugacy classes of subgroups.

The subgroup lattice has 1593 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61948C211yesmaximal, characteristic, complemented
2#61868C211yesmaximal, characteristic, complemented
3#61685C211yesmaximal, characteristic, complemented
4#61598C211yesmaximal, characteristic, complemented
5#20202C211yesmaximal, characteristic, complemented
6#20178C211yesmaximal, characteristic, complemented
7#20109C211yesmaximal, characteristic, complemented
8#20072C211yesmaximal, characteristic, complemented
9#20038C211yesmaximal, characteristic, complemented
10#20030C211yesmaximal, characteristic, complemented
11#19978C211yesmaximal, characteristic, complemented
12#19970C211yesmaximal, characteristic, complemented
13#19922C211yesmaximal, characteristic, complemented
14#19891C211yesmaximal, characteristic, complemented
15#19822C211yesmaximal, characteristic, complemented
16#19820C211yesmaximal, characteristic, complemented
17#19807C211yesmaximal, characteristic, complemented
18#19795C211yesmaximal, characteristic, complemented
19#19763C211yesmaximal, characteristic, complemented
20#19756C211yesmaximal, characteristic, complemented
21#19742C211yesmaximal, characteristic, complemented
22#19569C211yesmaximal, characteristic, complemented
23#19505C211yesmaximal, characteristic, complemented
24#19462C211yesmaximal, characteristic, complemented
25#19412C211yesmaximal, characteristic, complemented
26#18940C211yesmaximal, characteristic, complemented
27#18902C211yesmaximal, characteristic, complemented
28#18828C211yesmaximal, characteristic, complemented
29#18794C211yesmaximal, characteristic, complemented
30#18028C211yesmaximal, characteristic, complemented
31#17920C211yesmaximal, characteristic, complemented
32#3548C2211yescharacteristic, complemented
33#3503C2211yescharacteristic, complemented
34#3496C2211yescharacteristic
35D4×#41C2211yescharacteristic
36#3392C2211yescharacteristic, complemented
37#3392C2211yescharacteristic, complemented
38#3385—21no—
39#3384C2211yescharacteristic, complemented
40#3384C2211yescharacteristic, complemented
41#3381C2211yescharacteristic, complemented
42#3381C2211yescharacteristic, complemented
43#3380—21no—
44#3368C2211yescharacteristic, complemented
45#3368C2211yescharacteristic, complemented
46#3366—21no—
47#3362—21no—
48#3359C2211yescharacteristic, complemented
49#3359C2211yescharacteristic, complemented
50#3358C2211yescharacteristic, complemented
51#3358C2211yescharacteristic, complemented
52#3332C2211yescharacteristic
53#3331C2211yescharacteristic
54#3331C2211yescharacteristic, complemented
55#3330C2211yescharacteristic
56#3308—21no—
57#3306—21no—
58#3306—21no—
59#3306—21no—
60#3298—21no—
61#3298—21no—
62#3298C2211yescharacteristic
63#3298C2211yescharacteristic, complemented
64#3298C2211yescharacteristic, complemented
65#3295C2211yescharacteristic
66#3295C2211yescharacteristic, complemented
67#3294C2211yescharacteristic
68#3284C2211yescharacteristic
69#3284C2211yescharacteristic, complemented
70D4×SD16—21no—
71D4×SD16—21no—
72D4×SD16C2211yescharacteristic
73D4×SD16C2211yescharacteristic, complemented
74D4×SD16C2211yescharacteristic, complemented
75D4×D8C2211yescharacteristic
76#3274C2211yescharacteristic
77#3274C2211yescharacteristic
78#3274C2211yescharacteristic, complemented
79#3272C2211yescharacteristic
80#3267—21no—
81#3267—21no—
82#3265—21no—
83#3264—21no—
84#3246—21no—
85#3246C2211yescharacteristic, complemented
86#3241—21no—
87#3241—21no—
88#3227C2211yescharacteristic, complemented
89#3226C2211yescharacteristic, complemented
90#3226C2211yescharacteristic, complemented
91#3216C2211yescharacteristic, complemented
92#3214C2211yescharacteristic
93#3207C2211yescharacteristic
94#3207C2211yescharacteristic, complemented
95#3207C2211yescharacteristic, complemented
96#3206—21no—
97#3206C2211yescharacteristic, complemented
98#3204—21no—
99#3204—21no—
100#3194—21no—
101#3188—21no—
102#3119—21no—
103#3119—21no—
104#3115C2211yescharacteristic
105#3109C2211yescharacteristic
106#3106C2211yescharacteristic
107#3106C2211yescharacteristic, complemented
108#3101—21no—
109#3101C2211yescharacteristic
110C2×#461—21no—
111C2×#461C2211yescharacteristic
112#3012—21no—
113#3012—21no—
114#3006—21no—
115C2×#449—21no—
116#2988C2211yescharacteristic, complemented
117#2986C2211yescharacteristic, complemented
118#2981C2211yescharacteristic, complemented
119#2974C2211yescharacteristic
120#1721C2211yescharacteristic, complemented
121#1719C2211yescharacteristic, complemented
122#1718C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1715C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1708C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1701C2211yescharacteristic, complemented
130#1701C2211yescharacteristic, complemented
131#1700C2211yescharacteristic, complemented
132#1699C2211yescharacteristic, complemented
133#1699C2211yescharacteristic, 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#1682C2211yescharacteristic, complemented
143#1681C2211yescharacteristic, complemented
144#1681C2211yescharacteristic, complemented
145#1680C2211yescharacteristic, complemented
146#1679C2211yescharacteristic, complemented
147#1679C2211yescharacteristic, complemented
148#1678C2211yescharacteristic, complemented
149#1677C2211yescharacteristic, complemented
150#1671C2211yescharacteristic, complemented
151#1671C2211yescharacteristic, complemented
152#1668C2211yescharacteristic, complemented
153#1668C2211yescharacteristic, complemented
154#1667C2211yescharacteristic, complemented
155#1666C2211yescharacteristic, complemented
156#1666C2211yescharacteristic, complemented
157#1665C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1649C2211yescharacteristic, complemented
161#1649C2211yescharacteristic, complemented
162#1648C2211yescharacteristic, complemented
163#1648C2211yescharacteristic, complemented
164#1647C2211yescharacteristic
165#1647C2211yescharacteristic
166#1647C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1643C2211yescharacteristic, complemented
169#1643C2211yescharacteristic, complemented
170#1642C2211yescharacteristic, complemented
171#1642C2211yescharacteristic, complemented
172#1639C2211yescharacteristic
173#1639C2211yescharacteristic
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1637C2211yescharacteristic, complemented
177#1635C2211yescharacteristic, complemented
178#1631C2211yescharacteristic, complemented
179#1629C2211yescharacteristic, complemented
180#1627C2211yescharacteristic, complemented
181#1627C2211yescharacteristic, complemented
182#1627C2211yescharacteristic, complemented
183#1626C2211yescharacteristic, complemented
184#1626C2211yescharacteristic, complemented
185#1625C2211yescharacteristic, complemented
186#1622C2211yescharacteristic, complemented
187#1622C2211yescharacteristic, complemented
188#1621C2211yescharacteristic, complemented
189#1621C2211yescharacteristic, complemented
190#1621C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1592C2211yescharacteristic, complemented
193#1590C2211yescharacteristic, complemented
194#1588C2211yescharacteristic, complemented
195#1588C2211yescharacteristic, complemented
196#1586C2211yescharacteristic, complemented
197#1585C2211yescharacteristic, complemented
198#1583C2211yescharacteristic, complemented
199#1583C2211yescharacteristic, complemented
200#1582C2211yescharacteristic, complemented
201#1581C2211yescharacteristic, complemented
202#1580C2211yescharacteristic, complemented
203SD16⋊C8C2211yescharacteristic, complemented
204SD16⋊C8C2211yescharacteristic, complemented
205C8×SD16C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1572C2211yescharacteristic, complemented
210#1556C2211yescharacteristic, complemented
211#1553C2211yescharacteristic, complemented
212#1551C2211yescharacteristic, complemented
213#1540C2211yescharacteristic, complemented
214#1497C2211yescharacteristic, complemented
215#1488C2211yescharacteristic, complemented
216#1480C2211yescharacteristic, complemented
217#1478C2211yescharacteristic
218#1454C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C22×#41—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—
227C22×SD16—21no—
228C22×SD16—21no—
229C22×SD16—21no—
230C22×SD16—21no—
231C22×D8—21no—
232#562—41no—
233Q82—21no—
234#557C2311yescharacteristic
235#557C2311yescharacteristic
236#554—21no—
237#554—21no—
238#554—41no—
239#554C2311yescharacteristic
240#554C2311yescharacteristic
241#550—21no—
242#550C2311yescharacteristic
243#550C2311yescharacteristic
244#550C2311yescharacteristic
245D4×Q8—21no—
246D4×Q8—21no—
247D4×Q8C2311yescharacteristic
248D4×Q8C2311yescharacteristic
249D4×Q8C2311yescharacteristic
250#548—21no—
251#547—21no—
252#547—21no—
253#547—21no—
254#547—21no—
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#546—21no—
259#546—21no—
260#546—21no—
261#546—41no—
262#546—41no—
263D42—21no—
264D42—21no—
265D42C2311yescharacteristic
266D42C2311yescharacteristic
267D42C2311yescharacteristic
268#544—21no—
269#544—41no—
270#540—21no—
271#540—21no—
272#537—21no—
273#537—21no—
274#537—21no—
275#537—41no—
276#534—41no—
277#533—21no—
278#533C2311yescharacteristic
279#532—21no—
280#532C2311yescharacteristic
281#532C2311yescharacteristic
282#532C2311yescharacteristic
283#532C2311yescharacteristic
284C2×C4⋊Q8—21no—
285C2×C4⋊Q8C2311yescharacteristic
286#525—21no—
287#525—41no—
288C2×#121—21no—
289C2×#121—21no—
290#520—21no—
291C4×#41C2311yescharacteristic
292C2×C4×D4—21no—
293C2×C4×D4C2311yescharacteristic
294#501—21no—
295#501—21no—
296#500—21no—
297#500C2311yescharacteristic
298#500C2311yescharacteristic
299#499—21no—
300#499—21no—
301#498C2311yescharacteristic
302#498C2311yescharacteristic
303#497—21no—
304#496—21no—
305#493C2311yescharacteristic
306#493C2311yescharacteristic
307#493C2311yescharacteristic
308#492—21no—
309#492—21no—
310#492C2311yescharacteristic
311#492C2311yescharacteristic
312#492C2311yescharacteristic
313#492C2311yescharacteristic
314#492C2311yescharacteristic
315#490—21no—
316#490—21no—
317#489—21no—
318#489—21no—
319#487—21no—
320#487—21no—
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#487C2311yescharacteristic
326#486—21no—
327#486—21no—
328#486—21no—
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#486C2311yescharacteristic
336#484—21no—
337#483—21no—
338#483—21no—
339#483—21no—
340#483—21no—
341#483—21no—
342#483D411yescharacteristic
343#483D411yescharacteristic
344#482—21no—
345#482—21no—
346#482D411yescharacteristic
347#482D411yescharacteristic
348#481—21no—
349#481—21no—
350#481—21no—
351#481—21no—
352#481—21no—
353#481—21no—
354#480—21no—
355#480—21no—
356#480—21no—
357#480—41no—
358#479—21no—
359#479—21no—
360#478—21no—
361#478—21no—
362#478—21no—
363#478—21no—
364#478—21no—
365#478—21no—
366#477D411yescharacteristic
367#477C2311yescharacteristic
368#476—21no—
369#476—21no—
370#476—21no—
371#476—21no—
372#476—21no—
373#476D411yescharacteristic
374#476D411yescharacteristic
375#476D411yescharacteristic
376#476C2311yescharacteristic
377#476C2311yescharacteristic
378#476C2311yescharacteristic
379#475—21no—
380#475—21no—
381#475C2311yescharacteristic
382#475C2311yescharacteristic
383#475C2311yescharacteristic
384#474—21no—
385#474—21no—
386#474—41no—
387#474C2311yescharacteristic
388#474C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#470—21no—
393#470—21no—
394#469—21no—
395#469—21no—
396#469—21no—
397#469—21no—
398#468—21no—
399#468—21no—
400#466—21no—
401#466—21no—
402#465—21no—
403#465—21no—
404#465—21no—
405#465—21no—
406#465—21no—
407#465—21no—
408#465—21no—
409#465—21no—
410#465—21no—
411#465—21no—
412#465—21no—
413#465—21no—
414#463—21no—
415#463—21no—
416#463—21no—
417#463—21no—
418#463—41no—
419#462C2311yescharacteristic
420#462C2311yescharacteristic
421#461—21no—
422#461—21no—
423#461—21no—
424#461—21no—
425#461—21no—
426#461—21no—
427#461—21no—
428#461—21no—
429#461—21no—
430#461D411yescharacteristic
431#461D411yescharacteristic
432#461C2311yescharacteristic
433#461C2311yescharacteristic
434#461C2311yescharacteristic
435#461C2311yescharacteristic
436#461C2311yescharacteristic
437#461C2311yescharacteristic
438#460—21no—
439#460—21no—
440#460—21no—
441#460—21no—
442#460D411yescharacteristic
443#460C2311yescharacteristic
444#460C2311yescharacteristic
445#460C2311yescharacteristic
446#460C2311yescharacteristic
447#460C2311yescharacteristic
448#460C2311yescharacteristic
449#459—21no—
450#459—21no—
451#459D411yescharacteristic
452#459C2311yescharacteristic
453#459C2311yescharacteristic
454#459C2311yescharacteristic
455#459C2311yescharacteristic
456#459C2311yescharacteristic
457#459C2311yescharacteristic
458#452—21no—
459#452—21no—
460#452—21no—
461#452—21no—
462#452—21no—
463#452—21no—
464#450—21no—
465#450—21no—
466#450—21no—
467#450—21no—
468#450—21no—
469#450—21no—
470#450D411yescharacteristic
471#450D411yescharacteristic
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#449—21no—
483#449—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449—41no—
489#449D411yescharacteristic
490#449D411yescharacteristic
491#448—21no—
492#448—21no—
493#448—21no—
494#448—21no—
495#448—21no—
496#448—21no—
497#448—21no—
498#448—21no—
499#447—21no—
500#447—21no—
501#447—21no—
502#447—21no—
503#447—21no—
504#447—21no—
505#447—21no—
506#446—21no—
507#446C2311yescharacteristic
508#446C2311yescharacteristic
509C8×Q8—21no—
510C8×Q8C2311yescharacteristic
511C8×Q8C2311yescharacteristic
512C8×Q8C2311yescharacteristic
513C8×Q8C2311yescharacteristic
514#442—21no—
515#442—21no—
516#442—21no—
517#442—21no—
518#442—21no—
519#440—21no—
520#440—21no—
521#440—21no—
522C4×SD16—21no—
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16—21no—
526C4×SD16—21no—
527C4×SD16—21no—
528C4×SD16—21no—
529C4×SD16C2311yescharacteristic
530C4×SD16C2311yescharacteristic
531C4×SD16C2311yescharacteristic
532C4×SD16C2311yescharacteristic
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×D8—21no—
536C4×D8—21no—
537C4×D8—21no—
538C4×D8C2311yescharacteristic
539C4×D8C2311yescharacteristic
540#436C2311yescharacteristic
541#436C2311yescharacteristic
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#435—21no—
545#435—21no—
546#435—21no—
547#435—21no—
548C8×D4—21no—
549C8×D4—21no—
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552C8×D4C2311yescharacteristic
553C8×D4C2311yescharacteristic
554C8×D4C2311yescharacteristic
555C8×D4C2311yescharacteristic
556#433—21no—
557#433—21no—
558#432C2311yescharacteristic
559#432C2311yescharacteristic
560#431—21no—
561#431C2311yescharacteristic
562#431C2311yescharacteristic
563#431C2311yescharacteristic
564#431C2311yescharacteristic
565C2×C4⋊C8—21no—
566C2×C4⋊C8C2311yescharacteristic
567#417—21no—
568#417—21no—
569#417—21no—
570#417—21no—
571C2×#103—21no—
572C2×#103—21no—
573C2×#103—21no—
574C2×#103—21no—
575C2×#102—21no—
576C2×#102—21no—
577C2×#102—21no—
578#408—21no—
579#408—21no—
580#407—21no—
581C2×C22⋊C8—21no—
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
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
624#322C2311yescharacteristic
625C82C2311yescharacteristic
626H(5,𝔽2)—82no—
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—21no—
636C2×#41—21no—
637C2×#41—21no—
638C2×#41—41no—
639C2×#41—41no—
640C2×#41—41no—
641C2×#41—41no—
642C2×#41—82no—
643C2×#41—82no—
644C2×#41C2×D411yescharacteristic
645C22×Q8—21no—
646C22×Q8—21no—
647C22×Q8—21no—
648C22×Q8—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4—41no—
658C22×D4—41no—
659C22×D4C2×D411yescharacteristic
660C23×C4—21no—
661C23×C4—41no—
662AGL(1,ℤ/8)—82no—
663AGL(1,ℤ/8)—82no—
664AGL(1,ℤ/8)—82no—
665AGL(1,ℤ/8)—82no—
666#135—82no—
667#135—82no—
668C2×Q16—21no—
669C2×Q16—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—21no—
689C2×SD16—21no—
690C2×SD16—41no—
691C2×SD16—82no—
692C2×SD16—82no—
693C2×SD16—82no—
694C2×SD16—82no—
695C2×SD16C2×D411yescharacteristic
696C2×SD16C2×D411yescharacteristic
697C2×SD16C2×D411yescharacteristic
698C2×SD16C2×D411yescharacteristic
699C2×SD16C2×D411yescharacteristic
700C2×SD16C2×D411yescharacteristic
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—41no—
712C2×D8—82no—
713C2×D8C2×D411yescharacteristic
714C2×D8C2×D411yescharacteristic
715C2×M16—21no—
716C2×M16—21no—
717C2×M16—21no—
718C2×M16—21no—
719C22×C8—21no—
720C22×C8—21no—
721C22×C8—21no—
722C22×C8—21no—
723C22×C8—21no—
724C22×C8—21no—
725C22×C8—21no—
726C4⋊Q8—21no—
727C4⋊Q8—21no—
728C4⋊Q8—21no—
729C4⋊Q8—21no—
730C4⋊Q8—21no—
731C4⋊Q8—21no—
732C4⋊Q8—21no—
733C4⋊Q8—21no—
734C4⋊Q8—41no—
735C4⋊Q8—41no—
736C4⋊Q8—41no—
737C4⋊Q8—41no—
738C4⋊Q8C2×D411yescharacteristic
739C4⋊Q8C2×D411yescharacteristic
740C4⋊Q8C2×D411yescharacteristic
741C4⋊Q8C2411yescharacteristic
742C4⋊Q8C2411yescharacteristic
743C4⋊Q8C2411yescharacteristic
744C4⋊Q8C2411yescharacteristic
745C4⋊Q8C2411yescharacteristic
746#127—21no—
747#127—21no—
748#127—21no—
749#127C2×D411yescharacteristic
750#127C2411yescharacteristic
751#127C2411yescharacteristic
752#127C2411yescharacteristic
753#125—21no—
754#125—21no—
755#125—21no—
756#125—21no—
757#125—21no—
758#125—41no—
759#125—41no—
760#125—41no—
761#124—21no—
762#124—21no—
763#124—21no—
764#124—21no—
765#124—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773#123—41no—
774#123—41no—
775#123—41no—
776#123—41no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796C22⋊Q8—41no—
797C22⋊Q8—41no—
798C22⋊Q8—41no—
799C22⋊Q8—41no—
800C22⋊Q8—41no—
801C22⋊Q8C2×D411yescharacteristic
802C22⋊Q8C2×D411yescharacteristic
803#121—21no—
804#121—21no—
805#121—21no—
806#121—21no—
807#121—21no—
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—41no—
823#121—41no—
824#121—41no—
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#121—41no—
839#121C2×D411yescharacteristic
840#121C2×D411yescharacteristic
841#120—41no—
842#120—41no—
843#120—41no—
844#120—41no—
845#120—41no—
846#120—41no—
847#120—41no—
848C4×Q8—21no—
849C4×Q8—21no—
850C4×Q8—21no—
851C4×Q8—21no—
852C4×Q8—21no—
853C4×Q8—41no—
854C4×Q8C2×D411yescharacteristic
855C4×Q8C2411yescharacteristic
856C4×Q8C2411yescharacteristic
857C4×Q8C2411yescharacteristic
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—41no—
878C4×D4—41no—
879C4×D4—41no—
880C4×D4—41no—
881C4×D4—41no—
882C4×D4C2×D411yescharacteristic
883C4×D4C2×D411yescharacteristic
884C4×D4C2×D411yescharacteristic
885C4×D4C2411yescharacteristic
886C4×D4C2411yescharacteristic
887C4×D4C2411yescharacteristic
888C4×D4C2411yescharacteristic
889C4×D4C2411yescharacteristic
890#117—21no—
891#117—21no—
892#117—41no—
893#117C2×D411yescharacteristic
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—41no—
902C2×C4⋊C4—41no—
903C2×C4⋊C4—41no—
904C2×C4⋊C4C2×D411yescharacteristic
905C2×C22⋊C4—21no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C42—21no—
910C2×C42C2411yescharacteristic
911#107—21no—
912#107—21no—
913#107—21no—
914#107—21no—
915#107—21no—
916#107—21no—
917#107—41no—
918#107—41no—
919#107C2×D411yescharacteristic
920#107C2×D411yescharacteristic
921#106—21no—
922#106—21no—
923#106—21no—
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—21no—
931#106C2×D411yescharacteristic
932#106C2×D411yescharacteristic
933#106C2×D411yescharacteristic
934#106C2×D411yescharacteristic
935#106C2×D411yescharacteristic
936#106C2×D411yescharacteristic
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8—21no—
943C4⋊C8—21no—
944C4⋊C8—21no—
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2×D411yescharacteristic
947C4⋊C8C2×D411yescharacteristic
948C4⋊C8C2×D411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955C4⋊C8C2411yescharacteristic
956C4⋊C8C2411yescharacteristic
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—21no—
975#103—21no—
976#103—21no—
977#103—41no—
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
982#103C2×D411yescharacteristic
983#103C2×D411yescharacteristic
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—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
1023#102C2×D411yescharacteristic
1024#102C2×D411yescharacteristic
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⋊C8—21no—
1036C22⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8C2×D411yescharacteristic
1040C22⋊C8C2×D411yescharacteristic
1041C22⋊C8C2×D411yescharacteristic
1042C22⋊C8C2×D411yescharacteristic
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×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C4×C8C2411yescharacteristic
1056C4×C8C2411yescharacteristic
1057C4×C8C2411yescharacteristic
1058C24—21no—
1059C24—41no—
1060C24—41no—
1061C24—41no—
1062#41—22no—
1063#41—22no—
1064#41—42no—
1065#41—42no—
1066#41—42no—
1067#41—42no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—81no—
1074#41—84no—
1075#41—81no—
1076#41—81no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—81no—
1081#41—81no—
1082#41—81no—
1083#41—84no—
1084#41—84no—
1085#41—161no—
1086#41—162no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—21no—
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×Q8—41no—
1097C2×Q8—41no—
1098C2×Q8—42no—
1099C2×Q8—81no—
1100C2×Q8—81no—
1101C2×Q8—81no—
1102C2×Q8—81no—
1103C2×Q8—81no—
1104C2×Q8—81no—
1105C2×Q8—81no—
1106C2×Q8C22×D411yescharacteristic
1107C2×Q8C22×D411yescharacteristic
1108C2×Q8C22×D411yescharacteristic
1109C2×D4—21no—
1110C2×D4—22no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—21no—
1120C2×D4—21no—
1121C2×D4—21no—
1122C2×D4—21no—
1123C2×D4—21no—
1124C2×D4—21no—
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—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
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—84no—
1157C2×D4—84no—
1158C2×D4—84no—
1159C2×D4—84no—
1160C2×D4C22×D411yescharacteristic
1161C2×D4C22×D411yescharacteristic
1162C2×D4C22×D411yescharacteristic
1163C2×D4C22×D411yescharacteristic
1164C2×D4C22×D411yescharacteristic
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
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—81no—
1191C22×C4—81no—
1192C22×C4—84no—
1193C22×C4C22×D411yescharacteristic
1194C22×C4C22×D411yescharacteristic
1195C22×C4H(5,𝔽2)11yescharacteristic
1196Q16—81no—
1197Q16—81no—
1198SD16—22no—
1199SD16—22no—
1200SD16—22no—
1201SD16—22no—
1202SD16—41no—
1203SD16—41no—
1204SD16—42no—
1205SD16—42no—
1206SD16—42no—
1207SD16—42no—
1208SD16—81no—
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—161no—
1225D8—22no—
1226D8—22no—
1227D8—42no—
1228D8—42no—
1229D8—42no—
1230D8—42no—
1231D8—81no—
1232D8—81no—
1233D8—81no—
1234D8—81no—
1235D8—81no—
1236D8—81no—
1237D8—161no—
1238M16—81no—
1239M16—81no—
1240M16—81no—
1241M16—81no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—81no—
1253C2×C8—81no—
1254C2×C8—81no—
1255C2×C8—81no—
1256C2×C8—81no—
1257C2×C8—81no—
1258C2×C8—81no—
1259C2×C8C22×D411yescharacteristic
1260C2×C8C22×D411yescharacteristic
1261C2×C8C22×D411yescharacteristic
1262C2×C8C22×D411yescharacteristic
1263C2×C8C22×D411yescharacteristic
1264C2×C8C22×D411yescharacteristic
1265C2×C8C22×D411yescharacteristic
1266C2×C8C22×D411yescharacteristic
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4C22×D411yescharacteristic
1307C4⋊C4C22×D411yescharacteristic
1308C4⋊C4C22×D411yescharacteristic
1309C4⋊C4C22×D411yescharacteristic
1310C4⋊C4C22×D411yescharacteristic
1311C4⋊C4C22×D411yescharacteristic
1312C4⋊C4C22×D411yescharacteristic
1313C4⋊C4C22×D411yescharacteristic
1314C22⋊C4—21no—
1315C22⋊C4—21no—
1316C22⋊C4—21no—
1317C22⋊C4—21no—
1318C22⋊C4—21no—
1319C22⋊C4—21no—
1320C22⋊C4—21no—
1321C22⋊C4—21no—
1322C22⋊C4—21no—
1323C22⋊C4—21no—
1324C22⋊C4—21no—
1325C22⋊C4—21no—
1326C22⋊C4—21no—
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—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C42—21no—
1348C42—21no—
1349C42—21no—
1350C42—21no—
1351C42—21no—
1352C42—41no—
1353C42—41no—
1354C42C22×D411yescharacteristic
1355C42C22×D411yescharacteristic
1356C42H(5,𝔽2)11yescharacteristic
1357C42C2511yescharacteristic
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—42no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—81no—
1368C23—81no—
1369C23—82no—
1370C23—82no—
1371C23—82no—
1372C23—82no—
1373C23—161no—
1374C23—161no—
1375C23—161no—
1376C23—161no—
1377C23—161no—
1378C23D4211yescharacteristic
1379Q8—21no—
1380Q8—21no—
1381Q8—21no—
1382Q8—21no—
1383Q8—21no—
1384Q8—42no—
1385Q8—41no—
1386Q8—41no—
1387Q8—41no—
1388Q8—41no—
1389Q8—41no—
1390Q8—41no—
1391Q8—41no—
1392Q8—41no—
1393Q8—81no—
1394Q8—82no—
1395Q8—81no—
1396Q8—161no—
1397Q8—161no—
1398Q8—161no—
1399Q8#57712yes—
1400D4—24no—
1401D4—21no—
1402D4—21no—
1403D4—21no—
1404D4—21no—
1405D4—21no—
1406D4—21no—
1407D4—21no—
1408D4—21no—
1409D4—42no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—41no—
1418D4—41no—
1419D4—41no—
1420D4—41no—
1421D4—41no—
1422D4—81no—
1423D4—81no—
1424D4—82no—
1425D4—81no—
1426D4—81no—
1427D4—81no—
1428D4—81no—
1429D4—81no—
1430D4—82no—
1431D4—82no—
1432D4—82no—
1433D4—82no—
1434D4—82no—
1435D4—82no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—161no—
1440D4—161no—
1441D4—161no—
1442D4—161no—
1443D4—161no—
1444D4—161no—
1445D4—161no—
1446D4—161no—
1447D4#57612yes—
1448D4#57712yes—
1449C2×C4—24no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—81no—
1482C2×C4—81no—
1483C2×C4—81no—
1484C2×C4—82no—
1485C2×C4—82no—
1486C2×C4—82no—
1487C2×C4—82no—
1488C2×C4—82no—
1489C2×C4—81no—
1490C2×C4—82no—
1491C2×C4—82no—
1492C2×C4—82no—
1493C2×C4—161no—
1494C2×C4—161no—
1495C2×C4—161no—
1496C2×C4—161no—
1497C2×C4—161no—
1498C2×C4—161no—
1499C2×C4—161no—
1500C2×C4D4211yescharacteristic
1501C2×C4D4211yescharacteristic
1502C2×C4D4211yescharacteristic
1503C2×C4C23×D411yescharacteristic
1504C2×C4C23×D411yescharacteristic
1505C2×C4C2×H(5,𝔽2)11yescharacteristic
1506C8—21no—
1507C8—21no—
1508C8—21no—
1509C8—21no—
1510C8—21no—
1511C8—21no—
1512C8—21no—
1513C8—21no—
1514C8—41no—
1515C8—41no—
1516C8—41no—
1517C8—41no—
1518C8—41no—
1519C8—41no—
1520C8—41no—
1521C8—41no—
1522C8—41no—
1523C8—41no—
1524C22—21no—
1525C22—22no—
1526C22—21no—
1527C22—22no—
1528C22—21no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—162no—
1552C22—164no—
1553C22—322no—
1554C22—322no—
1555C22C2×D4211yescharacteristic
1556C4—21no—
1557C4—22no—
1558C4—21no—
1559C4—21no—
1560C4—21no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—81no—
1572C4—81no—
1573C4—81no—
1574C4—81no—
1575C4—81no—
1576C4C2×#57611yescharacteristic
1577C4C2×#57711yescharacteristic
1578C4C2×#57711yescharacteristic
1579C4#358511yescharacteristic
1580C2—41no—
1581C2—42no—
1582C2—42no—
1583C2—81no—
1584C2—81no—
1585C2—81no—
1586C2—161no—
1587C2—161no—
1588C2—161no—
1589C2#6105011yescharacteristic
1590C2#6107211yescharacteristic
1591C2#6110711yescharacteristic
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. #61948C2semidirect
2. #61868C2semidirect
3. #61685C2semidirect
4. #61598C2semidirect
5. #20202C2semidirect
6. #20178C2semidirect
7. #20109C2semidirect
8. #20072C2semidirect
9. #20038C2semidirect
10. #20030C2semidirect
11. #19978C2semidirect
12. #19970C2semidirect
13. #19922C2semidirect
14. #19891C2semidirect
15. #19822C2semidirect
16. #19820C2semidirect
17. #19807C2semidirect
18. #19795C2semidirect
19. #19763C2semidirect
20. #19756C2semidirect
21. #19742C2semidirect
22. #19569C2semidirect
23. #19505C2semidirect
24. #19462C2semidirect
25. #19412C2semidirect
26. #18940C2semidirect
27. #18902C2semidirect
28. #18828C2semidirect
29. #18794C2semidirect
30. #18028C2semidirect
31. #17920C2semidirect
32. #3548C22semidirect
33. #3503C22semidirect
36. #3392C22semidirect
37. #3392C22semidirect
39. #3384C22semidirect
40. #3384C22semidirect
41. #3381C22semidirect
42. #3381C22semidirect
44. #3368C22semidirect
45. #3368C22semidirect
48. #3359C22semidirect
49. #3359C22semidirect
50. #3358C22semidirect
51. #3358C22semidirect
54. #3331C22semidirect
63. #3298C22semidirect
64. #3298C22semidirect
66. #3295C22semidirect
69. #3284C22semidirect
73. D4×SD16C22semidirect
74. D4×SD16C22semidirect
78. #3274C22semidirect
85. #3246C22semidirect
88. #3227C22semidirect
89. #3226C22semidirect
90. #3226C22semidirect
91. #3216C22semidirect
94. #3207C22semidirect
95. #3207C22semidirect
97. #3206C22semidirect
107. #3106C22semidirect
116. #2988C22semidirect
117. #2986C22semidirect
118. #2981C22semidirect
120. #1721C22semidirect
121. #1719C22semidirect
122. #1718C22semidirect
123. #1717C22semidirect
124. #1715C22semidirect
125. #1714C22semidirect
126. #1708C22semidirect
127. #1706C22semidirect
128. #1702C22semidirect
129. #1701C22semidirect
130. #1701C22semidirect
131. #1700C22semidirect
132. #1699C22semidirect
133. #1699C22semidirect
134. #1691C22semidirect
135. #1691C22semidirect
136. #1688C22semidirect
137. #1686C22semidirect
138. #1685C22semidirect
139. #1685C22semidirect
140. #1684C22semidirect
141. #1683C22semidirect
142. #1682C22semidirect
143. #1681C22semidirect
144. #1681C22semidirect
145. #1680C22semidirect
146. #1679C22semidirect
147. #1679C22semidirect
148. #1678C22semidirect
149. #1677C22semidirect
150. #1671C22semidirect
151. #1671C22semidirect
152. #1668C22semidirect
153. #1668C22semidirect
154. #1667C22semidirect
155. #1666C22semidirect
156. #1666C22semidirect
157. #1665C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1649C22semidirect
161. #1649C22semidirect
162. #1648C22semidirect
163. #1648C22semidirect
166. #1647C22semidirect
167. #1647C22semidirect
168. #1643C22semidirect
169. #1643C22semidirect
170. #1642C22semidirect
171. #1642C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
176. #1637C22semidirect
177. #1635C22semidirect
178. #1631C22semidirect
179. #1629C22semidirect
180. #1627C22semidirect
181. #1627C22semidirect
182. #1627C22semidirect
183. #1626C22semidirect
184. #1626C22semidirect
185. #1625C22semidirect
186. #1622C22semidirect
187. #1622C22semidirect
188. #1621C22semidirect
189. #1621C22semidirect
190. #1621C22semidirect
191. #1619C22semidirect
192. #1592C22semidirect
193. #1590C22semidirect
194. #1588C22semidirect
195. #1588C22semidirect
196. #1586C22semidirect
197. #1585C22semidirect
198. #1583C22semidirect
199. #1583C22semidirect
200. #1582C22semidirect
201. #1581C22semidirect
202. #1580C22semidirect
203. SD16⋊C8C22semidirect
204. SD16⋊C8C22semidirect
205. C8×SD16C22semidirect
206. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1572C22semidirect
210. #1556C22semidirect
211. #1553C22semidirect
212. #1551C22semidirect
213. #1540C22semidirect
214. #1497C22semidirect
215. #1488C22semidirect
216. #1480C22semidirect
218. #1454C22semidirect

Maximal subgroups

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

subgroupindex
#619482
#618682
#616852
#615982
#202022
#201782
#201092
#200722
#200382
#200302
#199782
#199702
#199222
#198912
#198222
#198202
#198072
#197952
#197632
#197562
#197422
#195692
#195052
#194622
#194122
#189402
#189022
#188282
#187942
#180282
#179202