Finite Group Databasebeta

← #6363972

Subgroups — #6363972

Order 512.

1639 conjugacy classes of subgroups.

The subgroup lattice has 1561 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62039C211yesmaximal, characteristic, complemented
2#61948C211yesmaximal, characteristic, complemented
3#61857C211yesmaximal, characteristic, complemented
4#61590C211yesmaximal, characteristic, complemented
5#20202C211yesmaximal, characteristic, complemented
6#20192C211yesmaximal, characteristic, complemented
7#20182C211yesmaximal, characteristic, complemented
8#20180C211yesmaximal, characteristic, complemented
9#20111C211yesmaximal, characteristic, complemented
10#20091C211yesmaximal, characteristic, complemented
11#20060C211yesmaximal, characteristic, complemented
12#20030C211yesmaximal, characteristic, complemented
13#19918C211yesmaximal, characteristic, complemented
14#19916C211yesmaximal, characteristic, complemented
15#19892C211yesmaximal, characteristic, complemented
16#19892C211yesmaximal, characteristic, complemented
17#19833C211yesmaximal, characteristic, complemented
18#19819C211yesmaximal, characteristic, complemented
19#19810C211yesmaximal, characteristic, complemented
20#19803C211yesmaximal, characteristic, complemented
21#19722C211yesmaximal, characteristic, complemented
22#19536C211yesmaximal, characteristic, complemented
23#19525C211yesmaximal, characteristic, complemented
24#19428C211yesmaximal, characteristic, complemented
25#19412C211yesmaximal, characteristic, complemented
26#18742C211yesmaximal, characteristic, complemented
27#18583C211yesmaximal, characteristic, complemented
28#18570C211yesmaximal, characteristic, complemented
29#18554C211yesmaximal, characteristic, complemented
30#17952C211yesmaximal, characteristic, complemented
31#17927C211yesmaximal, characteristic, complemented
32#3554C2211yescharacteristic, complemented
33#3519C2211yescharacteristic
34#3503C2211yescharacteristic, complemented
35D4×#41C2211yescharacteristic
36#3399C2211yescharacteristic
37#3392C2211yescharacteristic
38#3392C2211yescharacteristic
39#3392C2211yescharacteristic
40#3389—21no—
41#3386C2211yescharacteristic, complemented
42#3386C2211yescharacteristic, complemented
43#3385—21no—
44#3383C2211yescharacteristic, complemented
45Q8×D8C2211yescharacteristic, complemented
46#3375—21no—
47#3373C2211yescharacteristic, complemented
48#3372C2211yescharacteristic, complemented
49#3370—21no—
50#3368C2211yescharacteristic, complemented
51#3365C2211yescharacteristic, complemented
52#3361C2211yescharacteristic, complemented
53#3359C2211yescharacteristic, complemented
54#3359C2211yescharacteristic, complemented
55#3358C2211yescharacteristic, complemented
56#3333C2211yescharacteristic
57#3331C2211yescharacteristic
58#3329C2211yescharacteristic
59#3329C2211yescharacteristic
60#3326—21no—
61#3326—21no—
62#3325C2211yescharacteristic
63#3322—21no—
64#3307—21no—
65#3305C2211yescharacteristic
66#3298—21no—
67#3298—21no—
68#3298C2211yescharacteristic
69#3298C2211yescharacteristic
70D4×SD16—21no—
71D4×SD16—21no—
72D4×SD16C2211yescharacteristic, complemented
73D4×SD16C2211yescharacteristic, complemented
74D4×SD16C2211yescharacteristic, complemented
75#3278C2211yescharacteristic
76#3275—21no—
77#3274C2211yescharacteristic
78#3274C2211yescharacteristic
79#3274C2211yescharacteristic, complemented
80#3273—21no—
81#3272—21no—
82#3272C2211yescharacteristic
83#3265—21no—
84#3257—21no—
85#3254C2211yescharacteristic, complemented
86#3246—21no—
87#3246C2211yescharacteristic, complemented
88#3243—21no—
89#3241—21no—
90#3239C2211yescharacteristic, complemented
91#3226C2211yescharacteristic, complemented
92#3221—21no—
93#3212C2211yescharacteristic
94#3207C2211yescharacteristic
95#3207C2211yescharacteristic, complemented
96#3206—21no—
97#3206C2211yescharacteristic, complemented
98#3197—21no—
99#3194—21no—
100#3184C2211yescharacteristic, complemented
101#3141C2211yescharacteristic, complemented
102#3124—21no—
103#3119—21no—
104#3118—21no—
105#3115C2211yescharacteristic, complemented
106#3106C2211yescharacteristic
107#3102C2211yescharacteristic
108#3101—21no—
109#3101C2211yescharacteristic
110#3042—21no—
111#3036C2211yescharacteristic
112C2×#461—21no—
113C2×#461C2211yescharacteristic
114#3006—21no—
115#3005—21no—
116#2993C2211yescharacteristic, complemented
117#2988C2211yescharacteristic, complemented
118#2985C2211yescharacteristic, complemented
119#2975C2211yescharacteristic
120#1721C2211yescharacteristic, complemented
121#1719C2211yescharacteristic, complemented
122#1718C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1717C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1711C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1704C2211yescharacteristic, complemented
130#1701C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1693C2211yescharacteristic, complemented
137#1693C2211yescharacteristic, complemented
138#1693C2211yescharacteristic, complemented
139#1693C2211yescharacteristic, complemented
140#1688C2211yescharacteristic, complemented
141#1688C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1680C2211yescharacteristic, complemented
147#1679C2211yescharacteristic, complemented
148#1678C2211yescharacteristic, complemented
149#1678C2211yescharacteristic, complemented
150#1678C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1668C2211yescharacteristic, complemented
153#1667C2211yescharacteristic, complemented
154#1666C2211yescharacteristic, complemented
155#1666C2211yescharacteristic, complemented
156#1666C2211yescharacteristic, complemented
157#1666C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1653C2211yescharacteristic, complemented
162#1651C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1646C2211yescharacteristic
165#1646C2211yescharacteristic
166#1643C2211yescharacteristic, complemented
167#1643C2211yescharacteristic, complemented
168#1642C2211yescharacteristic
169#1642C2211yescharacteristic
170#1642C2211yescharacteristic
171#1642C2211yescharacteristic, complemented
172#1640C2211yescharacteristic, complemented
173#1639C2211yescharacteristic, complemented
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1637C2211yescharacteristic, complemented
177#1637C2211yescharacteristic, complemented
178#1636C2211yescharacteristic, complemented
179#1636C2211yescharacteristic, complemented
180#1627C2211yescharacteristic, complemented
181#1627C2211yescharacteristic, complemented
182#1627C2211yescharacteristic, complemented
183#1627C2211yescharacteristic, complemented
184#1626C2211yescharacteristic, complemented
185#1626C2211yescharacteristic, complemented
186#1626C2211yescharacteristic, complemented
187#1625C2211yescharacteristic
188#1621C2211yescharacteristic
189#1621C2211yescharacteristic, complemented
190#1620C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1592C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1588C2211yescharacteristic, complemented
198#1587C2211yescharacteristic, complemented
199#1586C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1583C2211yescharacteristic, complemented
203#1582C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1579C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×SD16C2211yescharacteristic, complemented
208#1572C2211yescharacteristic, complemented
209#1570C2211yescharacteristic, complemented
210#1557C2211yescharacteristic, complemented
211#1551C2211yescharacteristic, complemented
212#1546C2211yescharacteristic, complemented
213#1540C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1489C2211yescharacteristic, complemented
216#1485C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—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×AGL(1,ℤ/8)—21no—
226C22×SD16—21no—
227C22×SD16—21no—
228C22×SD16—21no—
229C22×SD16—21no—
230#562—41no—
231#559—21no—
232#559C2311yescharacteristic
233Q82—21no—
234#557C2311yescharacteristic
235#557C2311yescharacteristic
236#557C2311yescharacteristic
237#555C2311yescharacteristic
238#554—21no—
239#554—21no—
240#554—41no—
241#554C2311yescharacteristic
242#553—21no—
243#553—21no—
244#550C2311yescharacteristic
245#550C2311yescharacteristic
246#550C2311yescharacteristic
247D4×Q8—21no—
248D4×Q8—21no—
249D4×Q8C2311yescharacteristic
250D4×Q8C2311yescharacteristic
251D4×Q8C2311yescharacteristic
252D4×Q8C2311yescharacteristic
253#548—21no—
254#548—21no—
255#547—21no—
256#547—21no—
257#547C2311yescharacteristic
258#546—21no—
259#546—21no—
260#546—41no—
261#546—41no—
262D42—21no—
263D42—21no—
264D42C2311yescharacteristic
265D42C2311yescharacteristic
266#544—21no—
267#544—41no—
268#542—21no—
269#542—21no—
270#540—21no—
271#540—21no—
272#539—41no—
273#538—41no—
274#536—21no—
275#533—21no—
276#533C2311yescharacteristic
277#532—21no—
278#532C2311yescharacteristic
279#532C2311yescharacteristic
280#532C2311yescharacteristic
281C2×C4⋊Q8—21no—
282C2×C4⋊Q8C2311yescharacteristic
283#529C2311yescharacteristic
284#525—21no—
285#525—21no—
286#525—41no—
287C2×#121—21no—
288#520—21no—
289#518—21no—
290C4×#41C2311yescharacteristic
291C2×C4×D4—21no—
292C2×C4×D4C2311yescharacteristic
293#501—21no—
294#501—21no—
295#501—21no—
296#500—21no—
297#500C2311yescharacteristic
298#500C2311yescharacteristic
299#499—21no—
300#498C2311yescharacteristic
301#496—21no—
302#495—21no—
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#493C2311yescharacteristic
306#492—21no—
307#492—21no—
308#492—21no—
309#492C2311yescharacteristic
310#492C2311yescharacteristic
311#492C2311yescharacteristic
312#492C2311yescharacteristic
313#491—21no—
314#490—21no—
315#489—21no—
316#489—21no—
317#489—41no—
318#488—21no—
319#488—21no—
320#488—21no—
321#487—21no—
322#487—21no—
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#487C2311yescharacteristic
326#487C2311yescharacteristic
327#487C2311yescharacteristic
328#487C2311yescharacteristic
329#486—21no—
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#486C2311yescharacteristic
336#486C2311yescharacteristic
337#486C2311yescharacteristic
338#485—21no—
339#485—21no—
340#485D411yescharacteristic
341#484—21no—
342#483—21no—
343#483—21no—
344#483—21no—
345#483D411yescharacteristic
346#483D411yescharacteristic
347#482—21no—
348#482—21no—
349#482—21no—
350#482—21no—
351#482D411yescharacteristic
352#481—21no—
353#480—21no—
354#480—21no—
355#480—21no—
356#479—21no—
357#479—21no—
358#479—21no—
359#479D411yescharacteristic
360#478—21no—
361#478—21no—
362#478—21no—
363#478—21no—
364#478—21no—
365#478D411yescharacteristic
366#477—21no—
367#477—21no—
368#477C2311yescharacteristic
369#477C2311yescharacteristic
370#477C2311yescharacteristic
371#476—21no—
372#476—21no—
373#476D411yescharacteristic
374#476D411yescharacteristic
375#476C2311yescharacteristic
376#475—21no—
377#475—21no—
378#475C2311yescharacteristic
379#475C2311yescharacteristic
380#475C2311yescharacteristic
381#475C2311yescharacteristic
382#475C2311yescharacteristic
383#474—21no—
384#474—21no—
385#474—21no—
386#474—21no—
387#474—21no—
388#474—21no—
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#470—21no—
393#469—21no—
394#469—21no—
395#469—21no—
396#469—21no—
397#469—41no—
398#468—21no—
399#468—21no—
400#468—21no—
401#468—21no—
402#468—21no—
403#468—21no—
404#468—21no—
405#466—21no—
406#465—21no—
407#465—21no—
408#465—21no—
409#465—21no—
410#465—21no—
411#465—21no—
412#465—21no—
413#464—21no—
414#464D411yescharacteristic
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#463D411yescharacteristic
425#462C2311yescharacteristic
426#461—21no—
427#461—21no—
428#461—21no—
429#461—21no—
430#461—21no—
431#461—21no—
432#461—21no—
433#461—21no—
434#461—21no—
435#461—21no—
436#461—21no—
437#461—21no—
438#461D411yescharacteristic
439#461D411yescharacteristic
440#461C2311yescharacteristic
441#461C2311yescharacteristic
442#461C2311yescharacteristic
443#461C2311yescharacteristic
444#461C2311yescharacteristic
445#461C2311yescharacteristic
446#461C2311yescharacteristic
447#460—21no—
448#460—21no—
449#460—21no—
450#460—21no—
451#460C2311yescharacteristic
452#460C2311yescharacteristic
453#460C2311yescharacteristic
454#460C2311yescharacteristic
455#460C2311yescharacteristic
456#460C2311yescharacteristic
457#460C2311yescharacteristic
458#459—21no—
459#459—21no—
460#459C2311yescharacteristic
461#459C2311yescharacteristic
462#459C2311yescharacteristic
463#459C2311yescharacteristic
464#459C2311yescharacteristic
465#452—21no—
466#452—21no—
467#452—21no—
468#452—21no—
469#452D411yescharacteristic
470#450—21no—
471#450—21no—
472#450—21no—
473#450—21no—
474#450D411yescharacteristic
475#450D411yescharacteristic
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#449D411yescharacteristic
489#448—21no—
490#448—21no—
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#446—21no—
504#446—21no—
505#446C2311yescharacteristic
506#446C2311yescharacteristic
507#446C2311yescharacteristic
508C8×Q8C2311yescharacteristic
509C8×Q8C2311yescharacteristic
510C8×Q8C2311yescharacteristic
511C8×Q8C2311yescharacteristic
512C8×Q8C2311yescharacteristic
513#442—21no—
514#442—21no—
515#442—21no—
516#442—41no—
517#440—21no—
518#440—21no—
519#440—21no—
520#440—21no—
521#440—21no—
522C4×Q16—21no—
523C4×Q16C2311yescharacteristic
524C4×SD16—21no—
525C4×SD16—21no—
526C4×SD16—21no—
527C4×SD16—21no—
528C4×SD16—21no—
529C4×SD16—21no—
530C4×SD16—21no—
531C4×SD16C2311yescharacteristic
532C4×SD16C2311yescharacteristic
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×SD16C2311yescharacteristic
536C4×SD16C2311yescharacteristic
537C4×D8—21no—
538C4×D8—21no—
539C4×D8—21no—
540C4×D8—21no—
541C4×D8C2311yescharacteristic
542#436—21no—
543#436—21no—
544#436—21no—
545#436C2311yescharacteristic
546#436C2311yescharacteristic
547#436C2311yescharacteristic
548#436C2311yescharacteristic
549#436C2311yescharacteristic
550#435—21no—
551C8×D4—21no—
552C8×D4—21no—
553C8×D4C2311yescharacteristic
554C8×D4C2311yescharacteristic
555C8×D4C2311yescharacteristic
556#433—21no—
557#433—21no—
558#433—21no—
559#432C2311yescharacteristic
560#431—21no—
561#431C2311yescharacteristic
562#431C2311yescharacteristic
563#431C2311yescharacteristic
564#424—21no—
565#423C2311yescharacteristic
566C2×C4⋊C8—21no—
567C2×C4⋊C8C2311yescharacteristic
568#419—21no—
569#419—21no—
570#418—21no—
571#417—21no—
572#417—21no—
573#417—21no—
574#417—41no—
575#416—21no—
576C2×#103—21no—
577C2×#103—21no—
578C2×#103—21no—
579#407—21no—
580#407—21no—
581C4×M16C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#334C2311yescharacteristic
585#334C2311yescharacteristic
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
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
625C82C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—41no—
634C2×#41—41no—
635C2×#41—82no—
636C2×#41—82no—
637C2×#41C2×D411yescharacteristic
638C22×Q8—21no—
639C22×Q8—21no—
640C22×Q8—21no—
641C22×Q8—21no—
642C22×Q8—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—41no—
648C22×D4—41no—
649C22×D4C2×D411yescharacteristic
650C23×C4—21no—
651C23×C4—41no—
652#137—82no—
653AGL(1,ℤ/8)—82no—
654AGL(1,ℤ/8)—82no—
655AGL(1,ℤ/8)—82no—
656AGL(1,ℤ/8)—82no—
657AGL(1,ℤ/8)—82no—
658C2×Q16—21no—
659C2×Q16C2×D411yescharacteristic
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—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—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—21no—
682C2×SD16—82no—
683C2×SD16—82no—
684C2×SD16—82no—
685C2×SD16—82no—
686C2×SD16C2×D411yescharacteristic
687C2×SD16C2×D411yescharacteristic
688C2×SD16C2×D411yescharacteristic
689C2×SD16C2×D411yescharacteristic
690C2×SD16C2×D411yescharacteristic
691C2×SD16C2×D411yescharacteristic
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—41no—
702C2×D8C2×D411yescharacteristic
703C2×M16—21no—
704C2×M16—21no—
705C2×M16—21no—
706C2×M16—21no—
707C2×M16—21no—
708C2×M16—21no—
709C2×M16—21no—
710C22×C8—21no—
711C22×C8—21no—
712C22×C8—21no—
713C22×C8—21no—
714C4⋊Q8—21no—
715C4⋊Q8—21no—
716C4⋊Q8—21no—
717C4⋊Q8—21no—
718C4⋊Q8—21no—
719C4⋊Q8—21no—
720C4⋊Q8—21no—
721C4⋊Q8—21no—
722C4⋊Q8—21no—
723C4⋊Q8—21no—
724C4⋊Q8—41no—
725C4⋊Q8—41no—
726C4⋊Q8—41no—
727C4⋊Q8—41no—
728C4⋊Q8C2×D411yescharacteristic
729C4⋊Q8C2×D411yescharacteristic
730C4⋊Q8C2411yescharacteristic
731C4⋊Q8C2411yescharacteristic
732C4⋊Q8C2411yescharacteristic
733C4⋊Q8C2411yescharacteristic
734C4⋊Q8C2411yescharacteristic
735#127—21no—
736#127—21no—
737#127—21no—
738#127C2411yescharacteristic
739#127C2411yescharacteristic
740#127C2411yescharacteristic
741#126—21no—
742#126—41no—
743#126—41no—
744#125—21no—
745#125—21no—
746#125—21no—
747#125—21no—
748#125—21no—
749#125—41no—
750#125—41no—
751#125—41no—
752#125—41no—
753#125C2×D411yescharacteristic
754#124—21no—
755#124—21no—
756#124—21no—
757#124—21no—
758#124—21no—
759#124—41no—
760#124—41no—
761#124—41no—
762#124—41no—
763#124C2×D411yescharacteristic
764#123—21no—
765#123—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—41no—
785C22⋊Q8—41no—
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⋊Q8C2×D411yescharacteristic
800C22⋊Q8C2×D411yescharacteristic
801C22⋊Q8C2×D411yescharacteristic
802#121—21no—
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—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121C2×D411yescharacteristic
830#120—41no—
831#120—41no—
832#120—41no—
833#120—41no—
834#120—41no—
835#120—41no—
836C4×Q8—21no—
837C4×Q8—21no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8—21no—
843C4×Q8—41no—
844C4×Q8C2×D411yescharacteristic
845C4×Q8C2411yescharacteristic
846C4×Q8C2411yescharacteristic
847C4×Q8C2411yescharacteristic
848C4×Q8C2411yescharacteristic
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—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—41no—
871C4×D4—41no—
872C4×D4—41no—
873C4×D4—41no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4—41no—
878C4×D4—41no—
879C4×D4C2×D411yescharacteristic
880C4×D4C2×D411yescharacteristic
881C4×D4C2×D411yescharacteristic
882C4×D4C2411yescharacteristic
883C4×D4C2411yescharacteristic
884C4×D4C2411yescharacteristic
885C4×D4C2411yescharacteristic
886#117—21no—
887#117—21no—
888#117—21no—
889#117—21no—
890#117—21no—
891#117—41no—
892#117C2×D411yescharacteristic
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—41no—
898C2×C4⋊C4—41no—
899C2×C4⋊C4—41no—
900C2×C4⋊C4C2×D411yescharacteristic
901C2×C22⋊C4—21no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C42—21no—
906C2×C42C2411yescharacteristic
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107—21no—
913#107—21no—
914#107—21no—
915#107—21no—
916#107—21no—
917#107C2×D411yescharacteristic
918#107C2×D411yescharacteristic
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—21no—
924#106—21no—
925#106—41no—
926#106C2×D411yescharacteristic
927#106C2×D411yescharacteristic
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930#106C2×D411yescharacteristic
931#106C2×D411yescharacteristic
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8C2×D411yescharacteristic
943C4⋊C8C2×D411yescharacteristic
944C4⋊C8C2×D411yescharacteristic
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
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—21no—
975#103—21no—
976#103—21no—
977#103—21no—
978#103—41no—
979#103—41no—
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
982#103C2×D411yescharacteristic
983#103C2×D411yescharacteristic
984#103C2×D411yescharacteristic
985#103C2×D411yescharacteristic
986#103C2×D411yescharacteristic
987#103C2×D411yescharacteristic
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#102—41no—
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023#102C2×D411yescharacteristic
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⋊C8C2×D411yescharacteristic
1035C22⋊C8C2×D411yescharacteristic
1036C22⋊C8C2×D411yescharacteristic
1037C22⋊C8C2×D411yescharacteristic
1038#97—21no—
1039#97—21no—
1040#97—21no—
1041#97—21no—
1042#97—21no—
1043C4×C8—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8—21no—
1047C4×C8—21no—
1048C4×C8—21no—
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C24—21no—
1056C24—41no—
1057C24—41no—
1058#41—22no—
1059#41—22no—
1060#41—42no—
1061#41—42no—
1062#41—81no—
1063#41—81no—
1064#41—84no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—82no—
1074#41—84no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—41no—
1082C2×Q8—41no—
1083C2×Q8—41no—
1084C2×Q8—41no—
1085C2×Q8—41no—
1086C2×Q8—42no—
1087C2×Q8—81no—
1088C2×Q8—81no—
1089C2×Q8—81no—
1090C2×Q8—81no—
1091C2×Q8—81no—
1092C2×Q8—81no—
1093C2×Q8—81no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8C22×D411yescharacteristic
1097C2×Q8C22×D411yescharacteristic
1098C2×Q8C22×D411yescharacteristic
1099C2×Q8C22×D411yescharacteristic
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—41no—
1123C2×D4—41no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—84no—
1138C2×D4—162no—
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—21no—
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×C4—41no—
1165C22×C4—41no—
1166C22×C4—81no—
1167C22×C4—81no—
1168C22×C4—84no—
1169C22×C4C22×D411yescharacteristic
1170C22×C4C22×D411yescharacteristic
1171C22×C4H(5,𝔽2)11yescharacteristic
1172Q16—22no—
1173Q16—81no—
1174SD16—22no—
1175SD16—22no—
1176SD16—41no—
1177SD16—41no—
1178SD16—41no—
1179SD16—41no—
1180SD16—42no—
1181SD16—42no—
1182SD16—42no—
1183SD16—42no—
1184SD16—42no—
1185SD16—81no—
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—
1201SD16—81no—
1202D8—22no—
1203D8—42no—
1204D8—42no—
1205D8—42no—
1206D8—81no—
1207D8—81no—
1208D8—81no—
1209D8—81no—
1210D8—81no—
1211D8—81no—
1212D8—82no—
1213M16—81no—
1214M16—81no—
1215M16—81no—
1216M16—81no—
1217M16—81no—
1218M16—81no—
1219M16—81no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—81no—
1231C2×C8—81no—
1232C2×C8—81no—
1233C2×C8—81no—
1234C2×C8C22×D411yescharacteristic
1235C2×C8C22×D411yescharacteristic
1236C2×C8C22×D411yescharacteristic
1237C2×C8C22×D411yescharacteristic
1238C2×C8C22×D411yescharacteristic
1239C2×C8C22×D411yescharacteristic
1240C2×C8C22×D411yescharacteristic
1241C2×C8C22×D411yescharacteristic
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—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
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⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4C22×D411yescharacteristic
1285C4⋊C4C22×D411yescharacteristic
1286C4⋊C4C22×D411yescharacteristic
1287C4⋊C4C22×D411yescharacteristic
1288C4⋊C4C22×D411yescharacteristic
1289C4⋊C4C22×D411yescharacteristic
1290C4⋊C4C22×D411yescharacteristic
1291C4⋊C4C22×D411yescharacteristic
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—
1328C42—21no—
1329C42—21no—
1330C42—21no—
1331C42—21no—
1332C42—21no—
1333C42—21no—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42C22×D411yescharacteristic
1339C42C22×D411yescharacteristic
1340C42H(5,𝔽2)11yescharacteristic
1341C42C2511yescharacteristic
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—81no—
1350C23—81no—
1351C23—81no—
1352C23—82no—
1353C23—82no—
1354C23—82no—
1355C23—161no—
1356C23—161no—
1357C23—161no—
1358C23D4211yescharacteristic
1359Q8—21no—
1360Q8—21no—
1361Q8—21no—
1362Q8—21no—
1363Q8—21no—
1364Q8—21no—
1365Q8—21no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—41no—
1373Q8—41no—
1374Q8—81no—
1375Q8—82no—
1376Q8—81no—
1377Q8—161no—
1378Q8—161no—
1379Q8—161no—
1380Q8—161no—
1381Q8#57712yes—
1382D4—24no—
1383D4—21no—
1384D4—21no—
1385D4—21no—
1386D4—21no—
1387D4—21no—
1388D4—21no—
1389D4—21no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
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—81no—
1407D4—81no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—161no—
1415D4—161no—
1416D4—161no—
1417D4—161no—
1418D4—161no—
1419D4—161no—
1420D4—161no—
1421D4—161no—
1422D4#57712yes—
1423C2×C4—24no—
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—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
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—41no—
1454C2×C4—81no—
1455C2×C4—81no—
1456C2×C4—81no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—82no—
1460C2×C4—81no—
1461C2×C4—82no—
1462C2×C4—161no—
1463C2×C4—161no—
1464C2×C4—161no—
1465C2×C4—161no—
1466C2×C4—161no—
1467C2×C4—161no—
1468C2×C4—161no—
1469C2×C4—161no—
1470C2×C4—161no—
1471C2×C4—161no—
1472C2×C4D4211yescharacteristic
1473C2×C4D4211yescharacteristic
1474C2×C4D4211yescharacteristic
1475C2×C4C23×D411yescharacteristic
1476C2×C4C23×D411yescharacteristic
1477C2×C4C2×H(5,𝔽2)11yescharacteristic
1478C8—21no—
1479C8—21no—
1480C8—21no—
1481C8—21no—
1482C8—21no—
1483C8—21no—
1484C8—21no—
1485C8—21no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C22—21no—
1497C22—22no—
1498C22—21no—
1499C22—21no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—81no—
1512C22—81no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—162no—
1521C22—164no—
1522C22—322no—
1523C22C2×D4211yescharacteristic
1524C4—21no—
1525C4—22no—
1526C4—21no—
1527C4—21no—
1528C4—21no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—81no—
1541C4—81no—
1542C4—81no—
1543C4—81no—
1544C4—81no—
1545C4C2×#57711yescharacteristic
1546C4C2×#57711yescharacteristic
1547C4#358511yescharacteristic
1548C4#358511yescharacteristic
1549C2—41no—
1550C2—42no—
1551C2—81no—
1552C2—81no—
1553C2—81no—
1554C2—161no—
1555C2—161no—
1556C2—161no—
1557C2#6105011yescharacteristic
1558C2#6106311yescharacteristic
1559C2#6110911yescharacteristic
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. #62039C2semidirect
2. #61948C2semidirect
3. #61857C2semidirect
4. #61590C2semidirect
5. #20202C2semidirect
6. #20192C2semidirect
7. #20182C2semidirect
8. #20180C2semidirect
9. #20111C2semidirect
10. #20091C2semidirect
11. #20060C2semidirect
12. #20030C2semidirect
13. #19918C2semidirect
14. #19916C2semidirect
15. #19892C2semidirect
16. #19892C2semidirect
17. #19833C2semidirect
18. #19819C2semidirect
19. #19810C2semidirect
20. #19803C2semidirect
21. #19722C2semidirect
22. #19536C2semidirect
23. #19525C2semidirect
24. #19428C2semidirect
25. #19412C2semidirect
26. #18742C2semidirect
27. #18583C2semidirect
28. #18570C2semidirect
29. #18554C2semidirect
30. #17952C2semidirect
31. #17927C2semidirect
32. #3554C22semidirect
34. #3503C22semidirect
41. #3386C22semidirect
42. #3386C22semidirect
44. #3383C22semidirect
45. Q8×D8C22semidirect
47. #3373C22semidirect
48. #3372C22semidirect
50. #3368C22semidirect
51. #3365C22semidirect
52. #3361C22semidirect
53. #3359C22semidirect
54. #3359C22semidirect
55. #3358C22semidirect
72. D4×SD16C22semidirect
73. D4×SD16C22semidirect
74. D4×SD16C22semidirect
79. #3274C22semidirect
85. #3254C22semidirect
87. #3246C22semidirect
90. #3239C22semidirect
91. #3226C22semidirect
95. #3207C22semidirect
97. #3206C22semidirect
100. #3184C22semidirect
101. #3141C22semidirect
105. #3115C22semidirect
116. #2993C22semidirect
117. #2988C22semidirect
118. #2985C22semidirect
120. #1721C22semidirect
121. #1719C22semidirect
122. #1718C22semidirect
123. #1717C22semidirect
124. #1717C22semidirect
125. #1714C22semidirect
126. #1711C22semidirect
127. #1706C22semidirect
128. #1704C22semidirect
129. #1704C22semidirect
130. #1701C22semidirect
131. #1701C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1700C22semidirect
135. #1699C22semidirect
136. #1693C22semidirect
137. #1693C22semidirect
138. #1693C22semidirect
139. #1693C22semidirect
140. #1688C22semidirect
141. #1688C22semidirect
142. #1686C22semidirect
143. #1685C22semidirect
144. #1684C22semidirect
145. #1683C22semidirect
146. #1680C22semidirect
147. #1679C22semidirect
148. #1678C22semidirect
149. #1678C22semidirect
150. #1678C22semidirect
151. #1677C22semidirect
152. #1668C22semidirect
153. #1667C22semidirect
154. #1666C22semidirect
155. #1666C22semidirect
156. #1666C22semidirect
157. #1666C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
161. #1653C22semidirect
162. #1651C22semidirect
163. #1651C22semidirect
166. #1643C22semidirect
167. #1643C22semidirect
171. #1642C22semidirect
172. #1640C22semidirect
173. #1639C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
176. #1637C22semidirect
177. #1637C22semidirect
178. #1636C22semidirect
179. #1636C22semidirect
180. #1627C22semidirect
181. #1627C22semidirect
182. #1627C22semidirect
183. #1627C22semidirect
184. #1626C22semidirect
185. #1626C22semidirect
186. #1626C22semidirect
189. #1621C22semidirect
190. #1620C22semidirect
191. #1619C22semidirect
192. #1592C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1590C22semidirect
196. #1588C22semidirect
197. #1588C22semidirect
198. #1587C22semidirect
199. #1586C22semidirect
200. #1583C22semidirect
201. #1583C22semidirect
202. #1583C22semidirect
203. #1582C22semidirect
204. #1580C22semidirect
205. #1579C22semidirect
206. C8×SD16C22semidirect
207. C8×SD16C22semidirect
208. #1572C22semidirect
209. #1570C22semidirect
210. #1557C22semidirect
211. #1551C22semidirect
212. #1546C22semidirect
213. #1540C22semidirect
215. #1489C22semidirect
216. #1485C22semidirect
217. #1483C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#620392
#619482
#618572
#615902
#202022
#201922
#201822
#201802
#201112
#200912
#200602
#200302
#199182
#199162
#198922
#198332
#198192
#198102
#198032
#197222
#195362
#195252
#194282
#194122
#187422
#185832
#185702
#185542
#179522
#179272