Finite Group Databasebeta

← #6366712

Subgroups — #6366712

Order 512.

1667 conjugacy classes of subgroups.

The subgroup lattice has 1601 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62438C211yesmaximal, characteristic, complemented
2#62259C211yesmaximal, characteristic, complemented
3#61926C211yesmaximal, characteristic, complemented
4#61657C211yesmaximal, characteristic, complemented
5#20267C211yesmaximal, characteristic, complemented
6#20266C211yesmaximal, characteristic, complemented
7#20266C211yesmaximal, characteristic, complemented
8#20257C211yesmaximal, characteristic, complemented
9#20256C211yesmaximal, characteristic, complemented
10#20254C211yesmaximal, characteristic, complemented
11#20202C211yesmaximal, characteristic, complemented
12#20190C211yesmaximal, characteristic, complemented
13#20171C211yesmaximal, characteristic, complemented
14#20170C211yesmaximal, characteristic, complemented
15#20161C211yesmaximal, characteristic, complemented
16#20160C211yesmaximal, characteristic, complemented
17#19879C211yesmaximal, characteristic, complemented
18#19876C211yesmaximal, characteristic, complemented
19#19759C211yesmaximal, characteristic, complemented
20#19756C211yesmaximal, characteristic, complemented
21#19689C211yesmaximal, characteristic, complemented
22#19569C211yesmaximal, characteristic, complemented
23#19557C211yesmaximal, characteristic, complemented
24#19219C211yesmaximal, characteristic, complemented
25#19133C211yesmaximal, characteristic, complemented
26#18742C211yesmaximal, characteristic, complemented
27#18738C211yesmaximal, characteristic, complemented
28#18614C211yesmaximal, characteristic, complemented
29#18598C211yesmaximal, characteristic, complemented
30#18089C211yesmaximal, characteristic, complemented
31#17938C211yesmaximal, characteristic, complemented
32#3554C2211yescharacteristic, complemented
33#3546C2211yescharacteristic
34#3506C2211yescharacteristic, complemented
35#3496C2211yescharacteristic
36#3403—21no—
37#3399C2211yescharacteristic, complemented
38#3399C2211yescharacteristic, complemented
39#3398C2211yescharacteristic, complemented
40#3397C2211yescharacteristic, complemented
41#3396—21no—
42#3394C2211yescharacteristic, complemented
43#3394C2211yescharacteristic, complemented
44#3392C2211yescharacteristic, complemented
45#3391C2211yescharacteristic, complemented
46#3370—21no—
47#3368C2211yescharacteristic, complemented
48#3367C2211yescharacteristic, complemented
49#3364C2211yescharacteristic, complemented
50#3361—21no—
51#3358C2211yescharacteristic, complemented
52#3354—21no—
53#3353C2211yescharacteristic
54#3353C2211yescharacteristic, complemented
55#3332C2211yescharacteristic
56#3332C2211yescharacteristic, complemented
57#3330—21no—
58#3330C2211yescharacteristic
59#3325—21no—
60#3324C2211yescharacteristic
61#3324C2211yescharacteristic
62#3324C2211yescharacteristic, complemented
63#3322—21no—
64#3302C2211yescharacteristic
65#3297—21no—
66#3294C2211yescharacteristic
67#3284—21no—
68#3284C2211yescharacteristic
69#3284C2211yescharacteristic, complemented
70#3282—21no—
71D4×SD16C2211yescharacteristic, complemented
72#3280—21no—
73D4×D8C2211yescharacteristic
74#3276C2211yescharacteristic, complemented
75#3274C2211yescharacteristic
76#3274C2211yescharacteristic
77#3274C2211yescharacteristic, complemented
78#3274C2211yescharacteristic, complemented
79#3273—21no—
80#3272—21no—
81#3272C2211yescharacteristic
82#3271—21no—
83#3267—21no—
84#3246C2211yescharacteristic, complemented
85#3245C2211yescharacteristic
86#3225—21no—
87#3224—21no—
88#3224—21no—
89#3220—21no—
90#3216C2211yescharacteristic, complemented
91#3214C2211yescharacteristic
92#3212C2211yescharacteristic
93#3212C2211yescharacteristic, complemented
94#3207C2211yescharacteristic
95#3207C2211yescharacteristic, complemented
96#3203—21no—
97#3198—21no—
98#3188—21no—
99#3188—21no—
100#3184C2211yescharacteristic, complemented
101#3184C2211yescharacteristic, complemented
102#3173—21no—
103#3169C2211yescharacteristic, complemented
104#3167C2211yescharacteristic
105#3154—21no—
106#3147C2211yescharacteristic, complemented
107#3124—21no—
108#3119—21no—
109#3105C2211yescharacteristic
110#3100C2211yescharacteristic
111#3100C2211yescharacteristic, complemented
112#3055—21no—
113#3055—21no—
114#3012—21no—
115#3008—21no—
116#2986C2211yescharacteristic, complemented
117#2979C2211yescharacteristic
118#2966C2211yescharacteristic, complemented
119C2×#436C2211yescharacteristic, complemented
120#1721C2211yescharacteristic, complemented
121#1721C2211yescharacteristic, complemented
122#1721C2211yescharacteristic, complemented
123#1721C2211yescharacteristic, complemented
124#1720C2211yescharacteristic, complemented
125#1720C2211yescharacteristic, complemented
126#1714C2211yescharacteristic, complemented
127#1714C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1689C2211yescharacteristic, complemented
137#1689C2211yescharacteristic, complemented
138#1688C2211yescharacteristic, complemented
139#1687C2211yescharacteristic, complemented
140#1687C2211yescharacteristic, complemented
141#1687C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1685C2211yescharacteristic, complemented
145#1685C2211yescharacteristic, complemented
146#1685C2211yescharacteristic, complemented
147#1685C2211yescharacteristic, complemented
148#1682C2211yescharacteristic, complemented
149#1681C2211yescharacteristic, complemented
150#1680C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1674C2211yescharacteristic, complemented
153#1673C2211yescharacteristic, complemented
154#1668C2211yescharacteristic, complemented
155#1668C2211yescharacteristic, complemented
156#1667C2211yescharacteristic, complemented
157#1667C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic, complemented
162#1654C2211yescharacteristic, complemented
163#1653C2211yescharacteristic, complemented
164#1652C2211yescharacteristic, complemented
165#1652C2211yescharacteristic, complemented
166#1652C2211yescharacteristic, complemented
167#1651C2211yescharacteristic, complemented
168#1642C2211yescharacteristic, complemented
169#1641C2211yescharacteristic, complemented
170#1641C2211yescharacteristic, complemented
171#1641C2211yescharacteristic, complemented
172#1640C2211yescharacteristic, complemented
173#1639C2211yescharacteristic
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1628C2211yescharacteristic, complemented
177#1628C2211yescharacteristic, complemented
178#1628C2211yescharacteristic, complemented
179#1627C2211yescharacteristic, complemented
180#1626C2211yescharacteristic, complemented
181#1625C2211yescharacteristic
182#1625C2211yescharacteristic, complemented
183#1625C2211yescharacteristic, complemented
184#1621C2211yescharacteristic, complemented
185#1621C2211yescharacteristic, complemented
186#1621C2211yescharacteristic, complemented
187#1621C2211yescharacteristic, complemented
188#1620C2211yescharacteristic, complemented
189#1619C2211yescharacteristic
190#1619C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1594C2211yescharacteristic, complemented
194#1592C2211yescharacteristic, complemented
195#1592C2211yescharacteristic, complemented
196#1592C2211yescharacteristic, complemented
197#1592C2211yescharacteristic, complemented
198#1583C2211yescharacteristic, complemented
199#1583C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1582C2211yescharacteristic, complemented
203#1582C2211yescharacteristic, complemented
204#1581C2211yescharacteristic, complemented
205#1581C2211yescharacteristic, complemented
206SD16⋊C8C2211yescharacteristic, complemented
207SD16⋊C8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1564C2211yescharacteristic, complemented
210#1553C2211yescharacteristic, complemented
211#1553C2211yescharacteristic, complemented
212#1540C2211yescharacteristic, complemented
213#1540C2211yescharacteristic, complemented
214#1490C2211yescharacteristic, complemented
215#1485C2211yescharacteristic, complemented
216#1484C2211yescharacteristic
217#1483C2211yescharacteristic, complemented
218#1451C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—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—
226C2×#135—21no—
227C2×#135—21no—
228C2×#135—21no—
229C2×#135—21no—
230C22×SD16—21no—
231C22×D8—21no—
232C22×M16—21no—
233#562—41no—
234#560—41no—
235#559—21no—
236#559—21no—
237#559—21no—
238#559C2311yescharacteristic
239#557C2311yescharacteristic
240#556C2311yescharacteristic
241#556C2311yescharacteristic
242#556C2311yescharacteristic
243#555—21no—
244#554—21no—
245#553—21no—
246#553—41no—
247#550—21no—
248#550C2311yescharacteristic
249#550C2311yescharacteristic
250#550C2311yescharacteristic
251#550C2311yescharacteristic
252D4×Q8C2311yescharacteristic
253#548—21no—
254#547—21no—
255#547—21no—
256#547—21no—
257#547C2311yescharacteristic
258#547C2311yescharacteristic
259#547C2311yescharacteristic
260#546—21no—
261#546—21no—
262#546—21no—
263#546—21no—
264#546—41no—
265D42—21no—
266D42C2311yescharacteristic
267D42C2311yescharacteristic
268D42C2311yescharacteristic
269#542—21no—
270#542—21no—
271#542—21no—
272#540—21no—
273#539—41no—
274#538—41no—
275#538—41no—
276#537—21no—
277#537—21no—
278#536—21no—
279#535—21no—
280#535—21no—
281#535—21no—
282#534—41no—
283#533C2311yescharacteristic
284#532C2311yescharacteristic
285#532C2311yescharacteristic
286#532C2311yescharacteristic
287#532C2311yescharacteristic
288#532C2311yescharacteristic
289#529C2311yescharacteristic
290#525—21no—
291#525—21no—
292C2×#121—21no—
293C2×#121—21no—
294#520—21no—
295C2×C4×D4C2311yescharacteristic
296#500C2311yescharacteristic
297#498D411yescharacteristic
298#498C2311yescharacteristic
299#498C2311yescharacteristic
300#497—21no—
301#497—21no—
302#496—21no—
303#496—21no—
304#496—21no—
305#496—21no—
306#495—21no—
307#495—21no—
308#495—21no—
309#495—21no—
310#495—21no—
311#495—21no—
312#494C2311yescharacteristic
313#493—21no—
314#493C2311yescharacteristic
315#493C2311yescharacteristic
316#493C2311yescharacteristic
317#493C2311yescharacteristic
318#493C2311yescharacteristic
319#493C2311yescharacteristic
320#492—21no—
321#492D411yescharacteristic
322#492C2311yescharacteristic
323#492C2311yescharacteristic
324#492C2311yescharacteristic
325#492C2311yescharacteristic
326#490—21no—
327#489—21no—
328#489—21no—
329#489—21no—
330#488—21no—
331#488—21no—
332#488—21no—
333#487D411yescharacteristic
334#487C2311yescharacteristic
335#487C2311yescharacteristic
336#486—21no—
337#486D411yescharacteristic
338#486C2311yescharacteristic
339#486C2311yescharacteristic
340#486C2311yescharacteristic
341#486C2311yescharacteristic
342#486C2311yescharacteristic
343#486C2311yescharacteristic
344#486C2311yescharacteristic
345#486C2311yescharacteristic
346#485—21no—
347#484—21no—
348#484—21no—
349#484—21no—
350#484D411yescharacteristic
351#482—21no—
352#482—21no—
353#482—21no—
354#482—21no—
355#482—21no—
356#481—21no—
357#481—21no—
358#481D411yescharacteristic
359#480—21no—
360#480—21no—
361#480—21no—
362#479—21no—
363#478—21no—
364#478D411yescharacteristic
365#478D411yescharacteristic
366#477—21no—
367#476—21no—
368#475C2311yescharacteristic
369#475C2311yescharacteristic
370#474—21no—
371#474—21no—
372#474C2311yescharacteristic
373#474C2311yescharacteristic
374#474C2311yescharacteristic
375#474C2311yescharacteristic
376#474C2311yescharacteristic
377#474C2311yescharacteristic
378#470—21no—
379#469—21no—
380#469—21no—
381#469—21no—
382#469—21no—
383#469—21no—
384#469—21no—
385#469—41no—
386#469—41no—
387#468—21no—
388#468—21no—
389#468—21no—
390#468—21no—
391#468—21no—
392#468—21no—
393#468—21no—
394#467—21no—
395#466—21no—
396#466—21no—
397#466—21no—
398#466—21no—
399#466—21no—
400#466—21no—
401#465—21no—
402#465—21no—
403#465—21no—
404#465—21no—
405#465—21no—
406#465D411yescharacteristic
407#465D411yescharacteristic
408#465D411yescharacteristic
409#465D411yescharacteristic
410#464—21no—
411#464—21no—
412#464—21no—
413#464—21no—
414#463—21no—
415#463—21no—
416#463—21no—
417#463—21no—
418#463—21no—
419#463—21no—
420#463—21no—
421#463—21no—
422#463—21no—
423#463—21no—
424#463D411yescharacteristic
425#463D411yescharacteristic
426#462—21no—
427#462C2311yescharacteristic
428#462C2311yescharacteristic
429#462C2311yescharacteristic
430#462C2311yescharacteristic
431#461—21no—
432#461—21no—
433#461C2311yescharacteristic
434#461C2311yescharacteristic
435#461C2311yescharacteristic
436#461C2311yescharacteristic
437#460—21no—
438#460—21no—
439#460—21no—
440#460C2311yescharacteristic
441#460C2311yescharacteristic
442#460C2311yescharacteristic
443#460C2311yescharacteristic
444#460C2311yescharacteristic
445#460C2311yescharacteristic
446#459—21no—
447#459—21no—
448#459—21no—
449#459—21no—
450#459—21no—
451#459—21no—
452#459C2311yescharacteristic
453#459C2311yescharacteristic
454#459C2311yescharacteristic
455#459C2311yescharacteristic
456#459C2311yescharacteristic
457#459C2311yescharacteristic
458#459C2311yescharacteristic
459#459C2311yescharacteristic
460#459C2311yescharacteristic
461#459C2311yescharacteristic
462#452—21no—
463#452—21no—
464#452—21no—
465#452—21no—
466#452—21no—
467#452—21no—
468#452—21no—
469#452—21no—
470#451—21no—
471#450—21no—
472#450—21no—
473#450—21no—
474#450—21no—
475#450—21no—
476#450D411yescharacteristic
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—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#449—21no—
493#449—21no—
494#449—21no—
495#448—21no—
496#447—21no—
497#447—21no—
498#447—21no—
499#447—21no—
500#447—21no—
501#447—21no—
502#447—21no—
503#447—21no—
504#447—21no—
505#447D411yescharacteristic
506#446—21no—
507#446C2311yescharacteristic
508#446C2311yescharacteristic
509#446C2311yescharacteristic
510C8×Q8—21no—
511C8×Q8C2311yescharacteristic
512C8×Q8C2311yescharacteristic
513C8×Q8C2311yescharacteristic
514#442—21no—
515#442—21no—
516#442—41no—
517#442—41no—
518#441—21no—
519#440—21no—
520#440—21no—
521#440—21no—
522C4×Q16—21no—
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16—21no—
526C4×SD16C2311yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×SD16C2311yescharacteristic
529C4×SD16C2311yescharacteristic
530C4×SD16C2311yescharacteristic
531C4×SD16C2311yescharacteristic
532C4×D8—21no—
533C4×D8—21no—
534C4×D8—21no—
535C4×D8—21no—
536C4×D8—21no—
537C4×D8—21no—
538C4×D8—21no—
539C4×D8—21no—
540C4×D8C2311yescharacteristic
541C4×D8C2311yescharacteristic
542#436—21no—
543#436—21no—
544#436—21no—
545#436C2311yescharacteristic
546#436C2311yescharacteristic
547#436C2311yescharacteristic
548#436C2311yescharacteristic
549#436C2311yescharacteristic
550#436C2311yescharacteristic
551#436C2311yescharacteristic
552#435—21no—
553C8×D4—21no—
554C8×D4—21no—
555C8×D4C2311yescharacteristic
556C8×D4C2311yescharacteristic
557C8×D4C2311yescharacteristic
558#433—21no—
559#433—21no—
560#433—21no—
561#432C2311yescharacteristic
562#431C2311yescharacteristic
563#431C2311yescharacteristic
564#431C2311yescharacteristic
565#428—21no—
566#428—21no—
567C2×C4⋊C8C2311yescharacteristic
568#418—21no—
569#418—21no—
570#418—21no—
571#417—21no—
572#417—21no—
573#417—21no—
574#416—21no—
575C2×#102—21no—
576#408—21no—
577#408—21no—
578C2×C22⋊C8—21no—
579#405—21no—
580C4×M16C2311yescharacteristic
581C2×C4×C8C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#332C2311yescharacteristic
591#332C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#331C2311yescharacteristic
599#331C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
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
625#322C2311yescharacteristic
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—21no—
639C2×#41—21no—
640C2×#41—41no—
641C22×Q8—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—41no—
649C22×D4—41no—
650C22×D4—41no—
651C22×D4C2×D411yescharacteristic
652C23×C4—21no—
653#137—82no—
654AGL(1,ℤ/8)—82no—
655AGL(1,ℤ/8)—82no—
656AGL(1,ℤ/8)—82no—
657AGL(1,ℤ/8)—82no—
658AGL(1,ℤ/8)—82no—
659#135—82no—
660#135—82no—
661#135—82no—
662#135—82no—
663C2×Q16—21no—
664C2×Q16—21no—
665C2×Q16—21no—
666C2×Q16—21no—
667C2×Q16—21no—
668C2×Q16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—21no—
682C2×SD16—21no—
683C2×SD16—21no—
684C2×SD16—21no—
685C2×SD16—21no—
686C2×SD16—21no—
687C2×SD16—82no—
688C2×SD16C2×D411yescharacteristic
689C2×SD16C2×D411yescharacteristic
690C2×SD16C2×D411yescharacteristic
691C2×SD16C2×D411yescharacteristic
692C2×SD16C2×D411yescharacteristic
693C2×SD16C2×D411yescharacteristic
694C2×D8—21no—
695C2×D8—21no—
696C2×D8—21no—
697C2×D8—21no—
698C2×D8—21no—
699C2×D8—21no—
700C2×D8—21no—
701C2×D8—21no—
702C2×D8—21no—
703C2×D8—21no—
704C2×D8—21no—
705C2×D8—21no—
706C2×D8—21no—
707C2×D8—21no—
708C2×D8—21no—
709C2×D8—21no—
710C2×D8—21no—
711C2×D8—21no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8—82no—
715C2×D8C2×D411yescharacteristic
716C2×D8C2×D411yescharacteristic
717C2×M16—21no—
718C2×M16—21no—
719C2×M16—21no—
720C2×M16—21no—
721C2×M16—21no—
722C2×M16—21no—
723C2×M16—21no—
724C2×M16—21no—
725C2×M16—82no—
726C22×C8—21no—
727C22×C8—21no—
728C22×C8—21no—
729C22×C8—21no—
730C22×C8C2×D411yescharacteristic
731C22×C8C2×D411yescharacteristic
732C4⋊Q8—21no—
733C4⋊Q8—21no—
734C4⋊Q8C2×D411yescharacteristic
735C4⋊Q8C2×D411yescharacteristic
736C4⋊Q8C2×D411yescharacteristic
737C4⋊Q8C2411yescharacteristic
738C4⋊Q8C2411yescharacteristic
739C4⋊Q8C2411yescharacteristic
740C4⋊Q8C2411yescharacteristic
741#127—21no—
742#127—21no—
743#127—21no—
744#127—21no—
745#127—41no—
746#127C2×D411yescharacteristic
747#127C2411yescharacteristic
748#127C2411yescharacteristic
749#127C2411yescharacteristic
750#127C2411yescharacteristic
751#126—21no—
752#126—41no—
753#126—41no—
754#126—41no—
755#126—41no—
756#126—41no—
757#125—21no—
758#125—21no—
759#125—41no—
760#125C2×D411yescharacteristic
761#124—21no—
762#124—21no—
763#124—21no—
764#124—21no—
765#124—21no—
766#124—21no—
767#124—21no—
768#124—21no—
769#124—21no—
770#124—21no—
771#124—41no—
772#124—41no—
773#124—41no—
774#124—41no—
775#124—41no—
776#124C2×D411yescharacteristic
777#123—21no—
778#123—41no—
779#123—41no—
780#123—41no—
781#123—41no—
782#123—41no—
783#123—41no—
784#123—41no—
785#123—41no—
786#123—41no—
787#123—41no—
788#123—41no—
789#123—41no—
790#123—41no—
791#123—41no—
792#123—41no—
793#123—41no—
794#123—41no—
795C22⋊Q8—21no—
796C22⋊Q8—21no—
797C22⋊Q8—21no—
798C22⋊Q8—21no—
799C22⋊Q8—21no—
800C22⋊Q8—21no—
801C22⋊Q8—21no—
802C22⋊Q8—21no—
803C22⋊Q8—41no—
804C22⋊Q8—41no—
805C22⋊Q8—41no—
806C22⋊Q8—41no—
807C22⋊Q8—41no—
808C22⋊Q8—41no—
809C22⋊Q8—41no—
810C22⋊Q8C2×D411yescharacteristic
811C22⋊Q8C2×D411yescharacteristic
812C22⋊Q8C2×D411yescharacteristic
813#121—21no—
814#121—21no—
815#121—21no—
816#121—21no—
817#121—21no—
818#121—21no—
819#121—21no—
820#121—21no—
821#121—21no—
822#121—21no—
823#121—21no—
824#121—21no—
825#121—21no—
826#121—21no—
827#121—21no—
828#121—21no—
829#121—21no—
830#121—21no—
831#121—21no—
832#121—21no—
833#121—21no—
834#121—21no—
835#121—41no—
836#121—41no—
837#121—41no—
838#121—41no—
839#121—41no—
840#121—41no—
841#121—41no—
842#121—41no—
843#121—41no—
844#121—41no—
845#121—41no—
846#121—41no—
847#121—41no—
848#121—41no—
849#121—41no—
850#121—41no—
851#121—41no—
852#121—41no—
853#121C2×D411yescharacteristic
854#121C2×D411yescharacteristic
855#121C2×D411yescharacteristic
856#120—41no—
857#120—41no—
858#120—41no—
859#120—41no—
860#120—41no—
861#120—41no—
862#120—41no—
863#120—41no—
864#120—41no—
865#120—41no—
866C4×Q8—21no—
867C4×Q8—21no—
868C4×Q8—21no—
869C4×Q8—21no—
870C4×Q8—21no—
871C4×Q8—21no—
872C4×Q8C2411yescharacteristic
873C4×Q8C2411yescharacteristic
874C4×Q8C2411yescharacteristic
875C4×D4—21no—
876C4×D4—21no—
877C4×D4—21no—
878C4×D4—21no—
879C4×D4—21no—
880C4×D4—21no—
881C4×D4—21no—
882C4×D4—21no—
883C4×D4—21no—
884C4×D4—21no—
885C4×D4—21no—
886C4×D4—21no—
887C4×D4—21no—
888C4×D4—21no—
889C4×D4—21no—
890C4×D4—21no—
891C4×D4—21no—
892C4×D4—21no—
893C4×D4—21no—
894C4×D4—41no—
895C4×D4—41no—
896C4×D4—41no—
897C4×D4—41no—
898C4×D4—41no—
899C4×D4—41no—
900C4×D4C2×D411yescharacteristic
901C4×D4C2×D411yescharacteristic
902C4×D4C2411yescharacteristic
903C4×D4C2411yescharacteristic
904C4×D4C2411yescharacteristic
905C4×D4C2411yescharacteristic
906C4×D4C2411yescharacteristic
907#117—21no—
908#117—21no—
909#117—21no—
910#117—21no—
911#117—21no—
912#117—41no—
913C2×C4⋊C4—21no—
914C2×C4⋊C4—21no—
915C2×C4⋊C4—21no—
916C2×C4⋊C4—41no—
917C2×C4⋊C4—41no—
918C2×C4⋊C4C2×D411yescharacteristic
919C2×C22⋊C4—21no—
920C2×C22⋊C4—41no—
921C2×C22⋊C4—41no—
922C2×C22⋊C4—41no—
923C2×C42C2411yescharacteristic
924#107—21no—
925#107—21no—
926#107—21no—
927#107—21no—
928#107—21no—
929#107—21no—
930#107—21no—
931#107—21no—
932#107C2×D411yescharacteristic
933#107C2×D411yescharacteristic
934#106—21no—
935#106—21no—
936#106—41no—
937#106—41no—
938#106C2×D411yescharacteristic
939#106C2×D411yescharacteristic
940#106C2×D411yescharacteristic
941#106C2×D411yescharacteristic
942#106C2×D411yescharacteristic
943#106C2×D411yescharacteristic
944C4⋊C8—21no—
945C4⋊C8—21no—
946C4⋊C8—21no—
947C4⋊C8—21no—
948C4⋊C8—21no—
949C4⋊C8—21no—
950C4⋊C8—21no—
951C4⋊C8C2×D411yescharacteristic
952C4⋊C8C2×D411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955C4⋊C8C2411yescharacteristic
956C4⋊C8C2411yescharacteristic
957C4⋊C8C2411yescharacteristic
958C4⋊C8C2411yescharacteristic
959C4⋊C8C2411yescharacteristic
960C4⋊C8C2411yescharacteristic
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#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#102—21no—
982#102—21no—
983#102—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—41no—
1012#102—41no—
1013#102—41no—
1014#102—41no—
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
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⋊C8C2×D411yescharacteristic
1039C22⋊C8C2×D411yescharacteristic
1040#97—21no—
1041#97—21no—
1042#97—21no—
1043#97—21no—
1044#97—21no—
1045C4×C8—21no—
1046C4×C8—21no—
1047C4×C8—21no—
1048C4×C8—21no—
1049C4×C8—21no—
1050C4×C8C2×D411yescharacteristic
1051C4×C8C2×D411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C4×C8C2411yescharacteristic
1056C4×C8C2411yescharacteristic
1057C4×C8C2411yescharacteristic
1058C24—21no—
1059C24—41no—
1060C24—41no—
1061C24—41no—
1062#41—42no—
1063#41—42no—
1064#41—81no—
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—81no—
1074#41—81no—
1075#41—81no—
1076#41—81no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—81no—
1081#41—81no—
1082#41—81no—
1083#41—81no—
1084#41—81no—
1085#41—81no—
1086#41—84no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—41no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8C22×D411yescharacteristic
1097C2×Q8C22×D411yescharacteristic
1098C2×Q8C22×D411yescharacteristic
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—84no—
1153C2×D4—84no—
1154C2×D4—84no—
1155C2×D4C22×D411yescharacteristic
1156C2×D4C22×D411yescharacteristic
1157C2×D4C22×D411yescharacteristic
1158C2×D4C22×D411yescharacteristic
1159C2×D4C22×D411yescharacteristic
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—81no—
1182C22×C4—81no—
1183C22×C4C22×D411yescharacteristic
1184C22×C4C22×D411yescharacteristic
1185C22×C4H(5,𝔽2)11yescharacteristic
1186Q16—42no—
1187Q16—81no—
1188Q16—81no—
1189Q16—81no—
1190Q16—81no—
1191Q16—81no—
1192SD16—22no—
1193SD16—22no—
1194SD16—41no—
1195SD16—41no—
1196SD16—41no—
1197SD16—41no—
1198SD16—42no—
1199SD16—42no—
1200SD16—81no—
1201SD16—81no—
1202SD16—81no—
1203SD16—81no—
1204SD16—81no—
1205SD16—81no—
1206SD16—81no—
1207SD16—81no—
1208SD16—81no—
1209SD16—81no—
1210SD16—81no—
1211SD16—81no—
1212SD16—81no—
1213SD16—81no—
1214SD16—81no—
1215SD16—81no—
1216D8—41no—
1217D8—41no—
1218D8—42no—
1219D8—42no—
1220D8—42no—
1221D8—42no—
1222D8—81no—
1223D8—81no—
1224D8—81no—
1225D8—81no—
1226D8—81no—
1227D8—81no—
1228D8—81no—
1229D8—81no—
1230D8—81no—
1231D8—81no—
1232D8—81no—
1233D8—81no—
1234D8—81no—
1235D8—81no—
1236D8—82no—
1237D8—82no—
1238M16—42no—
1239M16—42no—
1240M16—42no—
1241M16—81no—
1242M16—81no—
1243M16—81no—
1244M16—81no—
1245M16—81no—
1246C2×C8—22no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—41no—
1258C2×C8—42no—
1259C2×C8—81no—
1260C2×C8—81no—
1261C2×C8—81no—
1262C2×C8C22×D411yescharacteristic
1263C2×C8C22×D411yescharacteristic
1264C2×C8C22×D411yescharacteristic
1265C2×C8C22×D411yescharacteristic
1266C2×C8C22×D411yescharacteristic
1267C2×C8C22×D411yescharacteristic
1268C2×C8C22×D411yescharacteristic
1269C2×C8C22×D411yescharacteristic
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—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
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⋊C4C22×D411yescharacteristic
1302C4⋊C4C22×D411yescharacteristic
1303C4⋊C4C22×D411yescharacteristic
1304C4⋊C4C22×D411yescharacteristic
1305C4⋊C4C22×D411yescharacteristic
1306C4⋊C4C22×D411yescharacteristic
1307C4⋊C4C22×D411yescharacteristic
1308C4⋊C4C22×D411yescharacteristic
1309C22⋊C4—21no—
1310C22⋊C4—21no—
1311C22⋊C4—21no—
1312C22⋊C4—21no—
1313C22⋊C4—21no—
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—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
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—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C42—21no—
1353C42—21no—
1354C42—21no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
1358C42—41no—
1359C42C22×D411yescharacteristic
1360C42C22×D411yescharacteristic
1361C42H(5,𝔽2)11yescharacteristic
1362C42C2511yescharacteristic
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—42no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—81no—
1374C23—81no—
1375C23—82no—
1376C23—82no—
1377C23—161no—
1378C23—161no—
1379C23—161no—
1380C23—161no—
1381C23—161no—
1382C23—161no—
1383C23—161no—
1384C23D4211yescharacteristic
1385Q8—21no—
1386Q8—21no—
1387Q8—21no—
1388Q8—21no—
1389Q8—21no—
1390Q8—21no—
1391Q8—41no—
1392Q8—41no—
1393Q8—41no—
1394Q8—41no—
1395Q8—41no—
1396Q8—41no—
1397Q8—41no—
1398Q8—41no—
1399Q8—81no—
1400Q8—81no—
1401Q8—161no—
1402D4—21no—
1403D4—21no—
1404D4—21no—
1405D4—21no—
1406D4—21no—
1407D4—21no—
1408D4—21no—
1409D4—21no—
1410D4—21no—
1411D4—21no—
1412D4—42no—
1413D4—41no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—41no—
1418D4—41no—
1419D4—41no—
1420D4—41no—
1421D4—41no—
1422D4—41no—
1423D4—41no—
1424D4—41no—
1425D4—41no—
1426D4—41no—
1427D4—41no—
1428D4—41no—
1429D4—81no—
1430D4—81no—
1431D4—81no—
1432D4—81no—
1433D4—81no—
1434D4—81no—
1435D4—81no—
1436D4—81no—
1437D4—81no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—161no—
1445D4—161no—
1446D4—161no—
1447D4—161no—
1448D4—161no—
1449D4—161no—
1450D4—161no—
1451D4—161no—
1452D4—161no—
1453D4—161no—
1454D4—161no—
1455D4—161no—
1456D4—161no—
1457D4—161no—
1458D4—161no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—81no—
1490C2×C4—81no—
1491C2×C4—82no—
1492C2×C4—82no—
1493C2×C4—81no—
1494C2×C4—82no—
1495C2×C4—82no—
1496C2×C4—161no—
1497C2×C4—161no—
1498C2×C4—161no—
1499C2×C4—161no—
1500C2×C4—161no—
1501C2×C4—161no—
1502C2×C4—161no—
1503C2×C4—161no—
1504C2×C4—161no—
1505C2×C4D4211yescharacteristic
1506C2×C4D4211yescharacteristic
1507C2×C4D4211yescharacteristic
1508C2×C4C23×D411yescharacteristic
1509C2×C4C23×D411yescharacteristic
1510C2×C4C2×H(5,𝔽2)11yescharacteristic
1511C8—21no—
1512C8—21no—
1513C8—21no—
1514C8—21no—
1515C8—21no—
1516C8—21no—
1517C8—21no—
1518C8—41no—
1519C8—41no—
1520C8—41no—
1521C8—41no—
1522C8—41no—
1523C8—41no—
1524C8—41no—
1525C8—41no—
1526C8—41no—
1527C8—41no—
1528C8#57612yes—
1529C22—21no—
1530C22—21no—
1531C22—21no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—162no—
1560C22—322no—
1561C22—322no—
1562C22—322no—
1563C22C2×D4211yescharacteristic
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—81no—
1580C4—81no—
1581C4—81no—
1582C4—81no—
1583C4C2×#57611yescharacteristic
1584C4#358511yescharacteristic
1585C4#358511yescharacteristic
1586C4#358511yescharacteristic
1587C2—41no—
1588C2—81no—
1589C2—81no—
1590C2—81no—
1591C2—81no—
1592C2—81no—
1593C2—161no—
1594C2—161no—
1595C2—161no—
1596C2—161no—
1597C2#6105911yescharacteristic
1598C2#6109311yescharacteristic
1599C2#6110011yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C2×C42 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62438C2semidirect
2. #62259C2semidirect
3. #61926C2semidirect
4. #61657C2semidirect
5. #20267C2semidirect
6. #20266C2semidirect
7. #20266C2semidirect
8. #20257C2semidirect
9. #20256C2semidirect
10. #20254C2semidirect
11. #20202C2semidirect
12. #20190C2semidirect
13. #20171C2semidirect
14. #20170C2semidirect
15. #20161C2semidirect
16. #20160C2semidirect
17. #19879C2semidirect
18. #19876C2semidirect
19. #19759C2semidirect
20. #19756C2semidirect
21. #19689C2semidirect
22. #19569C2semidirect
23. #19557C2semidirect
24. #19219C2semidirect
25. #19133C2semidirect
26. #18742C2semidirect
27. #18738C2semidirect
28. #18614C2semidirect
29. #18598C2semidirect
30. #18089C2semidirect
31. #17938C2semidirect
32. #3554C22semidirect
34. #3506C22semidirect
37. #3399C22semidirect
38. #3399C22semidirect
39. #3398C22semidirect
40. #3397C22semidirect
42. #3394C22semidirect
43. #3394C22semidirect
44. #3392C22semidirect
45. #3391C22semidirect
47. #3368C22semidirect
48. #3367C22semidirect
49. #3364C22semidirect
51. #3358C22semidirect
54. #3353C22semidirect
56. #3332C22semidirect
62. #3324C22semidirect
69. #3284C22semidirect
71. D4×SD16C22semidirect
74. #3276C22semidirect
77. #3274C22semidirect
78. #3274C22semidirect
84. #3246C22semidirect
90. #3216C22semidirect
93. #3212C22semidirect
95. #3207C22semidirect
100. #3184C22semidirect
101. #3184C22semidirect
103. #3169C22semidirect
106. #3147C22semidirect
111. #3100C22semidirect
116. #2986C22semidirect
118. #2966C22semidirect
119. C2×#436C22semidirect
120. #1721C22semidirect
121. #1721C22semidirect
122. #1721C22semidirect
123. #1721C22semidirect
124. #1720C22semidirect
125. #1720C22semidirect
126. #1714C22semidirect
127. #1714C22semidirect
128. #1702C22semidirect
129. #1702C22semidirect
130. #1702C22semidirect
131. #1701C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1700C22semidirect
135. #1699C22semidirect
136. #1689C22semidirect
137. #1689C22semidirect
138. #1688C22semidirect
139. #1687C22semidirect
140. #1687C22semidirect
141. #1687C22semidirect
142. #1686C22semidirect
143. #1685C22semidirect
144. #1685C22semidirect
145. #1685C22semidirect
146. #1685C22semidirect
147. #1685C22semidirect
148. #1682C22semidirect
149. #1681C22semidirect
150. #1680C22semidirect
151. #1679C22semidirect
152. #1674C22semidirect
153. #1673C22semidirect
154. #1668C22semidirect
155. #1668C22semidirect
156. #1667C22semidirect
157. #1667C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
161. #1654C22semidirect
162. #1654C22semidirect
163. #1653C22semidirect
164. #1652C22semidirect
165. #1652C22semidirect
166. #1652C22semidirect
167. #1651C22semidirect
168. #1642C22semidirect
169. #1641C22semidirect
170. #1641C22semidirect
171. #1641C22semidirect
172. #1640C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
176. #1628C22semidirect
177. #1628C22semidirect
178. #1628C22semidirect
179. #1627C22semidirect
180. #1626C22semidirect
182. #1625C22semidirect
183. #1625C22semidirect
184. #1621C22semidirect
185. #1621C22semidirect
186. #1621C22semidirect
187. #1621C22semidirect
188. #1620C22semidirect
190. #1619C22semidirect
191. #1619C22semidirect
192. #1594C22semidirect
193. #1594C22semidirect
194. #1592C22semidirect
195. #1592C22semidirect
196. #1592C22semidirect
197. #1592C22semidirect
198. #1583C22semidirect
199. #1583C22semidirect
200. #1583C22semidirect
201. #1583C22semidirect
202. #1582C22semidirect
203. #1582C22semidirect
204. #1581C22semidirect
205. #1581C22semidirect
206. SD16⋊C8C22semidirect
207. SD16⋊C8C22semidirect
208. #1573C22semidirect
209. #1564C22semidirect
210. #1553C22semidirect
211. #1553C22semidirect
212. #1540C22semidirect
213. #1540C22semidirect
214. #1490C22semidirect
215. #1485C22semidirect
217. #1483C22semidirect
218. #1451C22semidirect

Maximal subgroups

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

subgroupindex
#624382
#622592
#619262
#616572
#202672
#202662
#202572
#202562
#202542
#202022
#201902
#201712
#201702
#201612
#201602
#198792
#198762
#197592
#197562
#196892
#195692
#195572
#192192
#191332
#187422
#187382
#186142
#185982
#180892
#179382