Finite Group Databasebeta

← #6363976

Subgroups — #6363976

Order 512.

1623 conjugacy classes of subgroups.

The subgroup lattice has 1547 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62042C211yesmaximal, characteristic, complemented
2#61948C211yesmaximal, characteristic, complemented
3#61857C211yesmaximal, characteristic, complemented
4#61589C211yesmaximal, characteristic, complemented
5#20198C211yesmaximal, characteristic, complemented
6#20196C211yesmaximal, characteristic, complemented
7#20186C211yesmaximal, characteristic, complemented
8#20176C211yesmaximal, characteristic, complemented
9#20112C211yesmaximal, characteristic, complemented
10#20090C211yesmaximal, characteristic, complemented
11#20059C211yesmaximal, characteristic, complemented
12#20031C211yesmaximal, characteristic, complemented
13#19922C211yesmaximal, characteristic, complemented
14#19912C211yesmaximal, characteristic, complemented
15#19894C211yesmaximal, characteristic, complemented
16#19894C211yesmaximal, characteristic, complemented
17#19834C211yesmaximal, characteristic, complemented
18#19820C211yesmaximal, characteristic, complemented
19#19810C211yesmaximal, characteristic, complemented
20#19803C211yesmaximal, characteristic, complemented
21#19726C211yesmaximal, characteristic, complemented
22#19536C211yesmaximal, characteristic, complemented
23#19524C211yesmaximal, characteristic, complemented
24#19428C211yesmaximal, characteristic, complemented
25#19413C211yesmaximal, characteristic, complemented
26#18742C211yesmaximal, characteristic, complemented
27#18591C211yesmaximal, characteristic, complemented
28#18586C211yesmaximal, characteristic, complemented
29#18554C211yesmaximal, characteristic, complemented
30#17952C211yesmaximal, characteristic, complemented
31#17927C211yesmaximal, characteristic, complemented
32#3554C2211yescharacteristic, complemented
33#3520C2211yescharacteristic
34#3503C2211yescharacteristic
35D4×#41C2211yescharacteristic
36#3398C2211yescharacteristic
37#3394C2211yescharacteristic
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#3373C2211yescharacteristic, complemented
49#3370—21no—
50#3368C2211yescharacteristic, complemented
51#3365C2211yescharacteristic, complemented
52#3359C2211yescharacteristic
53#3359C2211yescharacteristic
54#3359C2211yescharacteristic, complemented
55#3358C2211yescharacteristic, complemented
56#3332C2211yescharacteristic
57#3332C2211yescharacteristic
58#3331—21no—
59#3330C2211yescharacteristic
60#3328C2211yescharacteristic
61#3327—21no—
62#3324C2211yescharacteristic
63#3323—21no—
64#3316—21no—
65#3298—21no—
66#3298—21no—
67#3298C2211yescharacteristic
68#3298C2211yescharacteristic
69#3298C2211yescharacteristic
70#3284C2211yescharacteristic, complemented
71D4×SD16—21no—
72D4×SD16—21no—
73D4×SD16C2211yescharacteristic
74D4×SD16C2211yescharacteristic
75#3278C2211yescharacteristic
76#3277—21no—
77#3276C2211yescharacteristic
78#3276C2211yescharacteristic
79#3276C2211yescharacteristic, complemented
80#3275—21no—
81#3275—21no—
82#3272C2211yescharacteristic
83#3267—21no—
84#3263—21no—
85#3255C2211yescharacteristic, complemented
86#3246—21no—
87#3246C2211yescharacteristic
88#3243—21no—
89#3241—21no—
90#3239C2211yescharacteristic, complemented
91#3226C2211yescharacteristic, complemented
92#3225—21no—
93#3212C2211yescharacteristic
94#3210C2211yescharacteristic
95#3210C2211yescharacteristic, complemented
96#3206—21no—
97#3206C2211yescharacteristic
98#3197—21no—
99#3196—21no—
100#3184C2211yescharacteristic
101#3165C2211yescharacteristic, complemented
102#3125—21no—
103#3124—21no—
104#3119—21no—
105#3115C2211yescharacteristic
106#3107C2211yescharacteristic
107#3102C2211yescharacteristic
108#3101—21no—
109#3101C2211yescharacteristic
110#3046—21no—
111#3036C2211yescharacteristic
112C2×#461—21no—
113C2×#461C2211yescharacteristic
114#3007—21no—
115#3005—21no—
116#2993C2211yescharacteristic, complemented
117#2988C2211yescharacteristic
118#2985C2211yescharacteristic, complemented
119#2975C2211yescharacteristic
120#1723C2211yescharacteristic, complemented
121#1722C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1719C2211yescharacteristic, complemented
124#1715C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1707C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1701C2211yescharacteristic
131#1701C2211yescharacteristic
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1693C2211yescharacteristic
137#1693C2211yescharacteristic
138#1693C2211yescharacteristic, complemented
139#1693C2211yescharacteristic, complemented
140#1690C2211yescharacteristic, complemented
141#1690C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1682C2211yescharacteristic, complemented
145#1681C2211yescharacteristic, complemented
146#1680C2211yescharacteristic, complemented
147#1680C2211yescharacteristic, complemented
148#1680C2211yescharacteristic, complemented
149#1680C2211yescharacteristic, complemented
150#1679C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1670C2211yescharacteristic, complemented
153#1669C2211yescharacteristic, complemented
154#1666C2211yescharacteristic, complemented
155#1666C2211yescharacteristic, complemented
156#1666C2211yescharacteristic, complemented
157#1666C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic
162#1654C2211yescharacteristic
163#1653C2211yescharacteristic, complemented
164#1653C2211yescharacteristic, complemented
165#1653C2211yescharacteristic, complemented
166#1651C2211yescharacteristic
167#1651C2211yescharacteristic, complemented
168#1651C2211yescharacteristic, complemented
169#1651C2211yescharacteristic, complemented
170#1651C2211yescharacteristic, complemented
171#1651C2211yescharacteristic, complemented
172#1650C2211yescharacteristic
173#1650C2211yescharacteristic
174#1649C2211yescharacteristic, complemented
175#1649C2211yescharacteristic, complemented
176#1648C2211yescharacteristic, complemented
177#1648C2211yescharacteristic, complemented
178#1647C2211yescharacteristic, complemented
179#1647C2211yescharacteristic, complemented
180#1642C2211yescharacteristic
181#1642C2211yescharacteristic, complemented
182#1640C2211yescharacteristic, complemented
183#1639C2211yescharacteristic
184#1627C2211yescharacteristic
185#1627C2211yescharacteristic, complemented
186#1626C2211yescharacteristic, complemented
187#1625C2211yescharacteristic
188#1621C2211yescharacteristic
189#1621C2211yescharacteristic, complemented
190#1620C2211yescharacteristic, complemented
191#1619C2211yescharacteristic
192#1592C2211yescharacteristic
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic
195#1590C2211yescharacteristic, complemented
196#1588C2211yescharacteristic
197#1588C2211yescharacteristic, complemented
198#1587C2211yescharacteristic, complemented
199#1586C2211yescharacteristic, complemented
200#1583C2211yescharacteristic
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
211#1552C2211yescharacteristic, complemented
212#1546C2211yescharacteristic, complemented
213#1540C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1489C2211yescharacteristic
216#1485C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—21no—
221C2×#137—21no—
222C2×#137—21no—
223C2×#137—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×AGL(1,ℤ/8)—21no—
226C2×#135—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#556C2311yescharacteristic
238#554—21no—
239#554—21no—
240#554—21no—
241#554—41no—
242#552—21no—
243#551—41no—
244#550C2311yescharacteristic
245#550C2311yescharacteristic
246D4×Q8—21no—
247D4×Q8—21no—
248D4×Q8C2311yescharacteristic
249D4×Q8C2311yescharacteristic
250D4×Q8C2311yescharacteristic
251D4×Q8C2311yescharacteristic
252D4×Q8C2311yescharacteristic
253#548—21no—
254#548—21no—
255#548—21no—
256#547—21no—
257#547—21no—
258#547C2311yescharacteristic
259#547C2311yescharacteristic
260#547C2311yescharacteristic
261#546—21no—
262#546—21no—
263#546—41no—
264D42—21no—
265D42C2311yescharacteristic
266#544—21no—
267#544—41no—
268#542—21no—
269#542—21no—
270#542—21no—
271#540—21no—
272#539—41no—
273#539—41no—
274#536—21no—
275#533—21no—
276#533C2311yescharacteristic
277#533C2311yescharacteristic
278#532—21no—
279#532C2311yescharacteristic
280#532C2311yescharacteristic
281C2×C4⋊Q8—21no—
282C2×C4⋊Q8C2311yescharacteristic
283#529C2311yescharacteristic
284#525—21no—
285#525—21no—
286#525—41no—
287C2×C22⋊Q8—21no—
288#520—21no—
289#520—21no—
290C4×#41C2311yescharacteristic
291C2×C4×D4—21no—
292C2×C4×D4C2311yescharacteristic
293#501—21no—
294#501—21no—
295#501—21no—
296#501—41no—
297#500—21no—
298#500C2311yescharacteristic
299#500C2311yescharacteristic
300#500C2311yescharacteristic
301#500C2311yescharacteristic
302#499—21no—
303#498C2311yescharacteristic
304#498C2311yescharacteristic
305#498C2311yescharacteristic
306#497—21no—
307#495—21no—
308#495—21no—
309#494C2311yescharacteristic
310#494C2311yescharacteristic
311#493C2311yescharacteristic
312#492—21no—
313#492—21no—
314#492C2311yescharacteristic
315#492C2311yescharacteristic
316#492C2311yescharacteristic
317#492C2311yescharacteristic
318#490—21no—
319#489—21no—
320#489—21no—
321#489—21no—
322#488—21no—
323#488—21no—
324#487—21no—
325#487—21no—
326#487—21no—
327#487C2311yescharacteristic
328#487C2311yescharacteristic
329#487C2311yescharacteristic
330#487C2311yescharacteristic
331#486—21no—
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#486C2311yescharacteristic
336#486C2311yescharacteristic
337#486C2311yescharacteristic
338#485—21no—
339#485—21no—
340#485D411yescharacteristic
341#484—21no—
342#484—21no—
343#483—21no—
344#483—21no—
345#483—21no—
346#483D411yescharacteristic
347#483D411yescharacteristic
348#482—21no—
349#482—21no—
350#482D411yescharacteristic
351#481—21no—
352#481—21no—
353#481—21no—
354#480—21no—
355#480—21no—
356#479—21no—
357#479—21no—
358#479D411yescharacteristic
359#478—21no—
360#478—21no—
361#478—21no—
362#478—21no—
363#478D411yescharacteristic
364#477—21no—
365#477—21no—
366#476—21no—
367#476—21no—
368#476—21no—
369#476D411yescharacteristic
370#476D411yescharacteristic
371#475—21no—
372#475—21no—
373#475—21no—
374#475—21no—
375#475C2311yescharacteristic
376#475C2311yescharacteristic
377#475C2311yescharacteristic
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#474C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#470—21no—
393#470—21no—
394#470—21no—
395#470—21no—
396#470—21no—
397#470—21no—
398#469—21no—
399#469—21no—
400#469—41no—
401#468—21no—
402#468—21no—
403#468—21no—
404#468—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#464—21no—
414#464—21no—
415#464—21no—
416#464—21no—
417#464—21no—
418#464—21no—
419#464—21no—
420#464D411yescharacteristic
421#463—21no—
422#463—21no—
423#463—21no—
424#463—21no—
425#463—21no—
426#463D411yescharacteristic
427#462—21no—
428#462—21no—
429#462C2311yescharacteristic
430#462C2311yescharacteristic
431#462C2311yescharacteristic
432#462C2311yescharacteristic
433#461—21no—
434#461—21no—
435#461—21no—
436#461—21no—
437#461—21no—
438#461—21no—
439#461—21no—
440#461—21no—
441#461—21no—
442#461—21no—
443#461D411yescharacteristic
444#461D411yescharacteristic
445#461C2311yescharacteristic
446#461C2311yescharacteristic
447#461C2311yescharacteristic
448#461C2311yescharacteristic
449#461C2311yescharacteristic
450#461C2311yescharacteristic
451#461C2311yescharacteristic
452#461C2311yescharacteristic
453#460—21no—
454#460—21no—
455#460—21no—
456#460C2311yescharacteristic
457#460C2311yescharacteristic
458#460C2311yescharacteristic
459#460C2311yescharacteristic
460#459—21no—
461#459C2311yescharacteristic
462#459C2311yescharacteristic
463#459C2311yescharacteristic
464#459C2311yescharacteristic
465#452—21no—
466#452—21no—
467#452—21no—
468#452—21no—
469#452—21no—
470#452—21no—
471#452—21no—
472#452—21no—
473#452—21no—
474#452—21no—
475#452—21no—
476#452D411yescharacteristic
477#451—21no—
478#451—21no—
479#451—21no—
480#451—21no—
481#450—21no—
482#450—21no—
483#450—21no—
484#450—21no—
485#450D411yescharacteristic
486#450D411yescharacteristic
487#449—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#449—21no—
493#449—21no—
494#449D411yescharacteristic
495#448—21no—
496#448—21no—
497#448—21no—
498#448—21no—
499#448—21no—
500#448—21no—
501#448—21no—
502#448—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#441—21no—
518#440—21no—
519#440—21no—
520#440—21no—
521#440—21no—
522C4×Q16—21no—
523C4×Q16—21no—
524C4×Q16C2311yescharacteristic
525C4×SD16—21no—
526C4×SD16—21no—
527C4×SD16—21no—
528C4×SD16—21no—
529C4×SD16—21no—
530C4×SD16—21no—
531C4×SD16—21no—
532C4×SD16—21no—
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×SD16C2311yescharacteristic
536C4×SD16C2311yescharacteristic
537C4×SD16C2311yescharacteristic
538C4×SD16C2311yescharacteristic
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#428—41no—
565#424—21no—
566#423C2311yescharacteristic
567C2×C4⋊C8—21no—
568C2×C4⋊C8C2311yescharacteristic
569#419—21no—
570#418—21no—
571#417—21no—
572#417—21no—
573#417—21no—
574#417—21no—
575C2×#103—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#332C2311yescharacteristic
591#332C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
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×Q8—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—41no—
647C22×D4C2×D411yescharacteristic
648C23×C4—21no—
649C23×C4—41no—
650#137—82no—
651#137—82no—
652#137—82no—
653#137—82no—
654AGL(1,ℤ/8)—82no—
655AGL(1,ℤ/8)—82no—
656#135—82no—
657C2×Q16—21no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16—21no—
661C2×Q16—21no—
662C2×Q16—21no—
663C2×Q16—21no—
664C2×Q16—21no—
665C2×Q16C2×D411yescharacteristic
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—21no—
682C2×SD16—21no—
683C2×SD16—21no—
684C2×SD16—21no—
685C2×SD16—21no—
686C2×SD16—82no—
687C2×SD16—82no—
688C2×SD16—82no—
689C2×SD16C2×D411yescharacteristic
690C2×SD16C2×D411yescharacteristic
691C2×SD16C2×D411yescharacteristic
692C2×SD16C2×D411yescharacteristic
693C2×SD16C2×D411yescharacteristic
694C2×SD16C2×D411yescharacteristic
695C2×D8—21no—
696C2×D8—21no—
697C2×D8—21no—
698C2×D8—21no—
699C2×D8—41no—
700C2×D8C2×D411yescharacteristic
701C2×M16—21no—
702C2×M16—21no—
703C2×M16—21no—
704C2×M16—21no—
705C2×M16—21no—
706C2×M16—21no—
707C2×M16—21no—
708C22×C8—21no—
709C22×C8—21no—
710C22×C8—21no—
711C22×C8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—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—41no—
724C4⋊Q8—41no—
725C4⋊Q8—41no—
726C4⋊Q8—41no—
727C4⋊Q8C2×D411yescharacteristic
728C4⋊Q8C2×D411yescharacteristic
729C4⋊Q8C2411yescharacteristic
730C4⋊Q8C2411yescharacteristic
731C4⋊Q8C2411yescharacteristic
732C4⋊Q8C2411yescharacteristic
733C4⋊Q8C2411yescharacteristic
734C4⋊Q8C2411yescharacteristic
735#127—21no—
736#127—21no—
737#127C2411yescharacteristic
738#127C2411yescharacteristic
739#126—21no—
740#126—41no—
741#126—41no—
742#126—41no—
743#125—21no—
744#125—21no—
745#125—21no—
746#125—21no—
747#125—21no—
748#125—41no—
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—
777#123—41no—
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—21no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
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⋊Q8—41no—
802C22⋊Q8—41no—
803C22⋊Q8—41no—
804C22⋊Q8—41no—
805C22⋊Q8—41no—
806C22⋊Q8—41no—
807C22⋊Q8—41no—
808C22⋊Q8C2×D411yescharacteristic
809C22⋊Q8C2×D411yescharacteristic
810C22⋊Q8C2×D411yescharacteristic
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#121C2×D411yescharacteristic
830#120—41no—
831#120—41no—
832#120—41no—
833#120—41no—
834C4×Q8—21no—
835C4×Q8—21no—
836C4×Q8—21no—
837C4×Q8—21no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8—21no—
843C4×Q8—21no—
844C4×Q8—41no—
845C4×Q8C2×D411yescharacteristic
846C4×Q8C2411yescharacteristic
847C4×Q8C2411yescharacteristic
848C4×Q8C2411yescharacteristic
849C4×Q8C2411yescharacteristic
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—41no—
869C4×D4—41no—
870C4×D4—41no—
871C4×D4—41no—
872C4×D4—41no—
873C4×D4—41no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4C2×D411yescharacteristic
878C4×D4C2×D411yescharacteristic
879C4×D4C2×D411yescharacteristic
880C4×D4C2411yescharacteristic
881C4×D4C2411yescharacteristic
882C4×D4C2411yescharacteristic
883C4×D4C2411yescharacteristic
884#117—21no—
885#117—21no—
886#117—21no—
887#117—21no—
888#117—21no—
889#117—41no—
890#117—41no—
891#117C2×D411yescharacteristic
892C2×C4⋊C4—21no—
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⋊C4—41no—
901C2×C4⋊C4C2×D411yescharacteristic
902C2×C22⋊C4—21no—
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—41no—
916#107—41no—
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—21no—
926#106—21no—
927#106—41no—
928#106—41no—
929#106—41no—
930#106C2×D411yescharacteristic
931#106C2×D411yescharacteristic
932#106C2×D411yescharacteristic
933#106C2×D411yescharacteristic
934#106C2×D411yescharacteristic
935#106C2×D411yescharacteristic
936C4⋊C8—21no—
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⋊C8—21no—
946C4⋊C8C2×D411yescharacteristic
947C4⋊C8C2×D411yescharacteristic
948C4⋊C8C2×D411yescharacteristic
949C4⋊C8C2×D411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955C4⋊C8C2411yescharacteristic
956C4⋊C8C2411yescharacteristic
957C4⋊C8C2411yescharacteristic
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—21no—
979#103—21no—
980#103—21no—
981#103—21no—
982#103—21no—
983#103—21no—
984#103—21no—
985#103—21no—
986#103C2×D411yescharacteristic
987#103C2×D411yescharacteristic
988#103C2×D411yescharacteristic
989#103C2×D411yescharacteristic
990#103C2×D411yescharacteristic
991#103C2×D411yescharacteristic
992#103C2×D411yescharacteristic
993#103C2×D411yescharacteristic
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—21no—
1013#102—21no—
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—
1057#41—22no—
1058#41—22no—
1059#41—42no—
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—81no—
1074#41—84no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—41no—
1083C2×Q8—41no—
1084C2×Q8—41no—
1085C2×Q8—41no—
1086C2×Q8—41no—
1087C2×Q8—41no—
1088C2×Q8—42no—
1089C2×Q8—81no—
1090C2×Q8—81no—
1091C2×Q8—81no—
1092C2×Q8—81no—
1093C2×Q8—81no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8—81no—
1097C2×Q8—81no—
1098C2×Q8—81no—
1099C2×Q8—81no—
1100C2×Q8C22×D411yescharacteristic
1101C2×Q8C22×D411yescharacteristic
1102C2×Q8C22×D411yescharacteristic
1103C2×Q8C22×D411yescharacteristic
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—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—84no—
1131C2×D4C22×D411yescharacteristic
1132C2×D4C22×D411yescharacteristic
1133C2×D4C22×D411yescharacteristic
1134C2×D4C22×D411yescharacteristic
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—81no—
1159C22×C4—81no—
1160C22×C4—84no—
1161C22×C4C22×D411yescharacteristic
1162C22×C4C22×D411yescharacteristic
1163C22×C4H(5,𝔽2)11yescharacteristic
1164Q16—22no—
1165Q16—42no—
1166Q16—81no—
1167Q16—81no—
1168Q16—81no—
1169Q16—81no—
1170Q16—81no—
1171Q16—81no—
1172Q16—81no—
1173SD16—22no—
1174SD16—22no—
1175SD16—41no—
1176SD16—41no—
1177SD16—41no—
1178SD16—41no—
1179SD16—42no—
1180SD16—42no—
1181SD16—42no—
1182SD16—42no—
1183SD16—42no—
1184SD16—81no—
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—
1199D8—22no—
1200D8—42no—
1201D8—42no—
1202D8—82no—
1203D8—81no—
1204D8—81no—
1205M16—42no—
1206M16—81no—
1207M16—81no—
1208M16—81no—
1209M16—81no—
1210M16—81no—
1211M16—81no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—81no—
1223C2×C8—81no—
1224C2×C8—81no—
1225C2×C8—81no—
1226C2×C8C22×D411yescharacteristic
1227C2×C8C22×D411yescharacteristic
1228C2×C8C22×D411yescharacteristic
1229C2×C8C22×D411yescharacteristic
1230C2×C8C22×D411yescharacteristic
1231C2×C8C22×D411yescharacteristic
1232C2×C8C22×D411yescharacteristic
1233C2×C8C22×D411yescharacteristic
1234C4⋊C4—21no—
1235C4⋊C4—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4C22×D411yescharacteristic
1283C4⋊C4C22×D411yescharacteristic
1284C4⋊C4C22×D411yescharacteristic
1285C4⋊C4C22×D411yescharacteristic
1286C4⋊C4C22×D411yescharacteristic
1287C4⋊C4C22×D411yescharacteristic
1288C4⋊C4C22×D411yescharacteristic
1289C4⋊C4C22×D411yescharacteristic
1290C22⋊C4—21no—
1291C22⋊C4—21no—
1292C22⋊C4—21no—
1293C22⋊C4—21no—
1294C22⋊C4—21no—
1295C22⋊C4—21no—
1296C22⋊C4—21no—
1297C22⋊C4—21no—
1298C22⋊C4—21no—
1299C22⋊C4—21no—
1300C22⋊C4—21no—
1301C22⋊C4—21no—
1302C22⋊C4—21no—
1303C22⋊C4—21no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C42—21no—
1326C42—21no—
1327C42—21no—
1328C42—21no—
1329C42—21no—
1330C42—21no—
1331C42—41no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42—41no—
1336C42C22×D411yescharacteristic
1337C42C22×D411yescharacteristic
1338C42H(5,𝔽2)11yescharacteristic
1339C42C2511yescharacteristic
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—41no—
1345C23—41no—
1346C23—81no—
1347C23—81no—
1348C23—81no—
1349C23—82no—
1350C23—82no—
1351C23—161no—
1352C23D4211yescharacteristic
1353Q8—21no—
1354Q8—21no—
1355Q8—21no—
1356Q8—21no—
1357Q8—21no—
1358Q8—21no—
1359Q8—21no—
1360Q8—41no—
1361Q8—41no—
1362Q8—41no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—81no—
1373Q8—82no—
1374Q8—161no—
1375Q8—161no—
1376Q8—161no—
1377Q8—161no—
1378Q8—161no—
1379Q8#57712yes—
1380D4—24no—
1381D4—21no—
1382D4—21no—
1383D4—21no—
1384D4—21no—
1385D4—21no—
1386D4—21no—
1387D4—21no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—41no—
1396D4—81no—
1397D4—82no—
1398D4—81no—
1399D4—81no—
1400D4—81no—
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—161no—
1407D4—161no—
1408D4—161no—
1409D4—161no—
1410D4—161no—
1411D4#57712yes—
1412C2×C4—24no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—81no—
1445C2×C4—81no—
1446C2×C4—81no—
1447C2×C4—82no—
1448C2×C4—82no—
1449C2×C4—82no—
1450C2×C4—81no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4—161no—
1454C2×C4—161no—
1455C2×C4—161no—
1456C2×C4—161no—
1457C2×C4—161no—
1458C2×C4—161no—
1459C2×C4—161no—
1460C2×C4—161no—
1461C2×C4—161no—
1462C2×C4D4211yescharacteristic
1463C2×C4D4211yescharacteristic
1464C2×C4D4211yescharacteristic
1465C2×C4C23×D411yescharacteristic
1466C2×C4C23×D411yescharacteristic
1467C2×C4C2×H(5,𝔽2)11yescharacteristic
1468C8—22no—
1469C8—21no—
1470C8—21no—
1471C8—21no—
1472C8—21no—
1473C8—21no—
1474C8—21no—
1475C8—21no—
1476C8—21no—
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C8—41no—
1486C22—21no—
1487C22—22no—
1488C22—21no—
1489C22—21no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—81no—
1507C22—162no—
1508C22—164no—
1509C22C2×D4211yescharacteristic
1510C4—21no—
1511C4—22no—
1512C4—21no—
1513C4—21no—
1514C4—21no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—81no—
1527C4—81no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C4C2×#57711yescharacteristic
1533C4C2×#57711yescharacteristic
1534C4#358511yescharacteristic
1535C4#358511yescharacteristic
1536C2—41no—
1537C2—42no—
1538C2—81no—
1539C2—81no—
1540C2—81no—
1541C2—161no—
1542C2—161no—
1543C2#6105011yescharacteristic
1544C2#6106311yescharacteristic
1545C2#6111111yescharacteristic
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. #62042C2semidirect
2. #61948C2semidirect
3. #61857C2semidirect
4. #61589C2semidirect
5. #20198C2semidirect
6. #20196C2semidirect
7. #20186C2semidirect
8. #20176C2semidirect
9. #20112C2semidirect
10. #20090C2semidirect
11. #20059C2semidirect
12. #20031C2semidirect
13. #19922C2semidirect
14. #19912C2semidirect
15. #19894C2semidirect
16. #19894C2semidirect
17. #19834C2semidirect
18. #19820C2semidirect
19. #19810C2semidirect
20. #19803C2semidirect
21. #19726C2semidirect
22. #19536C2semidirect
23. #19524C2semidirect
24. #19428C2semidirect
25. #19413C2semidirect
26. #18742C2semidirect
27. #18591C2semidirect
28. #18586C2semidirect
29. #18554C2semidirect
30. #17952C2semidirect
31. #17927C2semidirect
32. #3554C22semidirect
41. #3386C22semidirect
42. #3386C22semidirect
44. #3383C22semidirect
45. Q8×D8C22semidirect
47. #3373C22semidirect
48. #3373C22semidirect
50. #3368C22semidirect
51. #3365C22semidirect
54. #3359C22semidirect
55. #3358C22semidirect
70. #3284C22semidirect
79. #3276C22semidirect
85. #3255C22semidirect
90. #3239C22semidirect
91. #3226C22semidirect
95. #3210C22semidirect
101. #3165C22semidirect
116. #2993C22semidirect
118. #2985C22semidirect
120. #1723C22semidirect
121. #1722C22semidirect
122. #1720C22semidirect
123. #1719C22semidirect
124. #1715C22semidirect
125. #1714C22semidirect
126. #1707C22semidirect
127. #1706C22semidirect
128. #1702C22semidirect
129. #1702C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1700C22semidirect
135. #1699C22semidirect
138. #1693C22semidirect
139. #1693C22semidirect
140. #1690C22semidirect
141. #1690C22semidirect
142. #1686C22semidirect
143. #1685C22semidirect
144. #1682C22semidirect
145. #1681C22semidirect
146. #1680C22semidirect
147. #1680C22semidirect
148. #1680C22semidirect
149. #1680C22semidirect
150. #1679C22semidirect
151. #1679C22semidirect
152. #1670C22semidirect
153. #1669C22semidirect
154. #1666C22semidirect
155. #1666C22semidirect
156. #1666C22semidirect
157. #1666C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
163. #1653C22semidirect
164. #1653C22semidirect
165. #1653C22semidirect
167. #1651C22semidirect
168. #1651C22semidirect
169. #1651C22semidirect
170. #1651C22semidirect
171. #1651C22semidirect
174. #1649C22semidirect
175. #1649C22semidirect
176. #1648C22semidirect
177. #1648C22semidirect
178. #1647C22semidirect
179. #1647C22semidirect
181. #1642C22semidirect
182. #1640C22semidirect
185. #1627C22semidirect
186. #1626C22semidirect
189. #1621C22semidirect
190. #1620C22semidirect
193. #1592C22semidirect
195. #1590C22semidirect
197. #1588C22semidirect
198. #1587C22semidirect
199. #1586C22semidirect
201. #1583C22semidirect
202. #1583C22semidirect
203. #1582C22semidirect
204. #1580C22semidirect
205. #1579C22semidirect
206. C8×SD16C22semidirect
207. C8×SD16C22semidirect
208. #1572C22semidirect
209. #1570C22semidirect
211. #1552C22semidirect
212. #1546C22semidirect
213. #1540C22semidirect
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
#620422
#619482
#618572
#615892
#201982
#201962
#201862
#201762
#201122
#200902
#200592
#200312
#199222
#199122
#198942
#198342
#198202
#198102
#198032
#197262
#195362
#195242
#194282
#194132
#187422
#185912
#185862
#185542
#179522
#179272