Finite Group Databasebeta

← #6367810

Subgroups — #6367810

Order 512.

1607 conjugacy classes of subgroups.

The subgroup lattice has 1552 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62618C211yesmaximal, characteristic, complemented
2#62583C211yesmaximal, characteristic, complemented
3#62032C211yesmaximal, characteristic, complemented
4#61692C211yesmaximal, characteristic, complemented
5#20312C211yesmaximal, characteristic, complemented
6#20306C211yesmaximal, characteristic, complemented
7#20269C211yesmaximal, characteristic, complemented
8#20194C211yesmaximal, characteristic, complemented
9#20168C211yesmaximal, characteristic, complemented
10#20162C211yesmaximal, characteristic, complemented
11#19998C211yesmaximal, characteristic, complemented
12#19970C211yesmaximal, characteristic, complemented
13#19914C211yesmaximal, characteristic, complemented
14#19914C211yesmaximal, characteristic, complemented
15#19912C211yesmaximal, characteristic, complemented
16#19884C211yesmaximal, characteristic, complemented
17#19795C211yesmaximal, characteristic, complemented
18#19793C211yesmaximal, characteristic, complemented
19#19787C211yesmaximal, characteristic, complemented
20#19787C211yesmaximal, characteristic, complemented
21#19638C211yesmaximal, characteristic, complemented
22#19536C211yesmaximal, characteristic, complemented
23#19505C211yesmaximal, characteristic, complemented
24#19383C211yesmaximal, characteristic, complemented
25#19319C211yesmaximal, characteristic, complemented
26#18704C211yesmaximal, characteristic, complemented
27#18699C211yesmaximal, characteristic, complemented
28#18658C211yesmaximal, characteristic, complemented
29#18650C211yesmaximal, characteristic, complemented
30#17996C211yesmaximal, characteristic, complemented
31#17968C211yesmaximal, characteristic, complemented
32#3552C2211yescharacteristic
33#3546C2211yescharacteristic, complemented
34#3514C2211yescharacteristic, complemented
35#3499C2211yescharacteristic
36#3400C2211yescharacteristic, complemented
37#3394C2211yescharacteristic
38#3373C2211yescharacteristic
39#3373C2211yescharacteristic, complemented
40#3368C2211yescharacteristic, complemented
41#3367C2211yescharacteristic
42#3367C2211yescharacteristic
43#3367C2211yescharacteristic
44#3367C2211yescharacteristic, complemented
45#3364C2211yescharacteristic, complemented
46#3359C2211yescharacteristic, complemented
47#3358C2211yescharacteristic
48#3333—21no—
49#3330C2211yescharacteristic
50#3330C2211yescharacteristic
51#3329—21no—
52#3328C2211yescharacteristic, complemented
53#3328C2211yescharacteristic, complemented
54#3324C2211yescharacteristic, complemented
55#3322—21no—
56#3321—21no—
57#3320—21no—
58#3314—21no—
59#3309—21no—
60#3308—21no—
61#3308—21no—
62#3307—21no—
63#3306—21no—
64#3306—21no—
65#3302C2211yescharacteristic
66#3302C2211yescharacteristic
67#3302C2211yescharacteristic, complemented
68#3298C2211yescharacteristic
69#3298C2211yescharacteristic, complemented
70#3298C2211yescharacteristic, complemented
71#3294C2211yescharacteristic
72#3294C2211yescharacteristic
73#3294C2211yescharacteristic, complemented
74#3284C2211yescharacteristic
75D4×SD16C2211yescharacteristic, complemented
76D4×SD16C2211yescharacteristic, complemented
77#3278C2211yescharacteristic, complemented
78#3275—21no—
79#3272C2211yescharacteristic
80#3272C2211yescharacteristic
81#3267—21no—
82#3266—21no—
83#3266—21no—
84#3258—21no—
85#3251C2211yescharacteristic
86#3243—21no—
87#3239C2211yescharacteristic, complemented
88#3238—21no—
89#3226C2211yescharacteristic, complemented
90#3225—21no—
91#3224—21no—
92#3218C2211yescharacteristic, complemented
93#3214C2211yescharacteristic
94#3213—21no—
95#3212C2211yescharacteristic
96#3206C2211yescharacteristic, complemented
97#3206C2211yescharacteristic, complemented
98#3201—21no—
99#3200—21no—
100#3180—21no—
101#3175—21no—
102#3171C2211yescharacteristic
103#3169C2211yescharacteristic
104C2×#500C2211yescharacteristic, complemented
105#3141C2211yescharacteristic, complemented
106#3141C2211yescharacteristic, complemented
107#3136—21no—
108C2×#489—21no—
109#3123—21no—
110#3115C2211yescharacteristic
111#3102C2211yescharacteristic
112#3042—21no—
113#3039C2211yescharacteristic, complemented
114#3013—21no—
115#3010—21no—
116#2993C2211yescharacteristic, complemented
117#2981C2211yescharacteristic, complemented
118#2970C2211yescharacteristic, complemented
119#2969C2211yescharacteristic, complemented
120#1719C2211yescharacteristic, complemented
121#1719C2211yescharacteristic, complemented
122#1719C2211yescharacteristic, complemented
123#1719C2211yescharacteristic, complemented
124#1710C2211yescharacteristic, complemented
125#1710C2211yescharacteristic, complemented
126#1706C2211yescharacteristic
127#1706C2211yescharacteristic
128#1702C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1701C2211yescharacteristic
132#1700C2211yescharacteristic, complemented
133#1700C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1700C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1699C2211yescharacteristic, complemented
138#1699C2211yescharacteristic, complemented
139#1699C2211yescharacteristic, complemented
140#1686C2211yescharacteristic, complemented
141#1685C2211yescharacteristic
142#1685C2211yescharacteristic
143#1685C2211yescharacteristic, complemented
144#1682C2211yescharacteristic, complemented
145#1681C2211yescharacteristic
146#1681C2211yescharacteristic
147#1681C2211yescharacteristic
148#1680C2211yescharacteristic, complemented
149#1680C2211yescharacteristic, complemented
150#1679C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1679C2211yescharacteristic, complemented
153#1679C2211yescharacteristic, complemented
154#1679C2211yescharacteristic, complemented
155#1679C2211yescharacteristic, complemented
156#1666C2211yescharacteristic, complemented
157#1665C2211yescharacteristic
158#1665C2211yescharacteristic
159#1665C2211yescharacteristic, complemented
160#1650C2211yescharacteristic, complemented
161#1650C2211yescharacteristic, complemented
162#1650C2211yescharacteristic, complemented
163#1650C2211yescharacteristic, complemented
164#1649C2211yescharacteristic, complemented
165#1649C2211yescharacteristic, complemented
166#1649C2211yescharacteristic, complemented
167#1649C2211yescharacteristic, complemented
168#1649C2211yescharacteristic, complemented
169#1649C2211yescharacteristic, complemented
170#1649C2211yescharacteristic, complemented
171#1648C2211yescharacteristic, complemented
172#1648C2211yescharacteristic, complemented
173#1647C2211yescharacteristic
174#1647C2211yescharacteristic
175#1647C2211yescharacteristic
176#1647C2211yescharacteristic
177#1647C2211yescharacteristic, complemented
178#1647C2211yescharacteristic, complemented
179#1647C2211yescharacteristic, complemented
180#1642C2211yescharacteristic, complemented
181#1640C2211yescharacteristic, complemented
182#1639C2211yescharacteristic, complemented
183#1639C2211yescharacteristic, complemented
184#1628C2211yescharacteristic
185#1628C2211yescharacteristic
186#1627C2211yescharacteristic
187#1625C2211yescharacteristic
188#1621C2211yescharacteristic
189#1620C2211yescharacteristic
190#1619C2211yescharacteristic
191#1619C2211yescharacteristic
192#1594C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1591C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1590C2211yescharacteristic, complemented
197#1589C2211yescharacteristic
198#1584C2211yescharacteristic, complemented
199#1582C2211yescharacteristic, complemented
200#1582C2211yescharacteristic, complemented
201#1581C2211yescharacteristic
202#1580C2211yescharacteristic
203SD16⋊C8C2211yescharacteristic, complemented
204C8×SD16C2211yescharacteristic, complemented
205C8×SD16C2211yescharacteristic, complemented
206C8×D8C2211yescharacteristic
207C8×D8C2211yescharacteristic, complemented
208#1572C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1557C2211yescharacteristic, complemented
211#1556C2211yescharacteristic, complemented
212#1553C2211yescharacteristic, complemented
213#1546C2211yescharacteristic, complemented
214#1494C2211yescharacteristic, complemented
215#1494C2211yescharacteristic, complemented
216#1492C2211yescharacteristic, complemented
217#1476C2211yescharacteristic, complemented
218C8×M16C2211yescharacteristic, complemented
219C2×2−1+4—21no—
220C2×#137—21no—
221C2×#137—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×#135—21no—
225C22×SD16—21no—
226C22×SD16—21no—
227#563—41no—
228#560—41no—
229#559C2311yescharacteristic
230#557C2311yescharacteristic
231#556C2311yescharacteristic
232#556C2311yescharacteristic
233#556C2311yescharacteristic
234#555—21no—
235#554—21no—
236#553—21no—
237#553—21no—
238#551—41no—
239#550—21no—
240#550C2311yescharacteristic
241D4×Q8—21no—
242D4×Q8—21no—
243D4×Q8C2311yescharacteristic
244D4×Q8C2311yescharacteristic
245D4×Q8C2311yescharacteristic
246D4×Q8C2311yescharacteristic
247#548—21no—
248#548—21no—
249#547—21no—
250#547—21no—
251#547—21no—
252#547—41no—
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#546—21no—
258#546—21no—
259#546—21no—
260#546—21no—
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263#544—21no—
264#542—21no—
265#542—21no—
266#542—21no—
267#541—21no—
268#539—41no—
269#538—41no—
270#538—41no—
271#537—21no—
272#536—21no—
273#536—21no—
274#536—41no—
275#535—21no—
276#535—21no—
277#532—21no—
278#532C2311yescharacteristic
279#532C2311yescharacteristic
280#532C2311yescharacteristic
281C2×C4⋊Q8—21no—
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2311yescharacteristic
284#529—21no—
285#529C2311yescharacteristic
286#529C2311yescharacteristic
287C2×#124—21no—
288#518—21no—
289C4×#41C2311yescharacteristic
290#501—21no—
291#501D411yescharacteristic
292#500—21no—
293#500—41no—
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#500C2311yescharacteristic
298#500C2311yescharacteristic
299#497—21no—
300#497—21no—
301#496—21no—
302#496D411yescharacteristic
303#495—21no—
304#495—21no—
305#493C2311yescharacteristic
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#492C2311yescharacteristic
310#491—21no—
311#490—21no—
312#490D411yescharacteristic
313#489—21no—
314#489—21no—
315#489—21no—
316#489—21no—
317#489—21no—
318#489—21no—
319#489—21no—
320#489—21no—
321#489—21no—
322#489—21no—
323#489—21no—
324#489—21no—
325#489D411yescharacteristic
326#488—21no—
327#488—21no—
328#487—21no—
329#487C2311yescharacteristic
330#487C2311yescharacteristic
331#487C2311yescharacteristic
332#487C2311yescharacteristic
333#487C2311yescharacteristic
334#487C2311yescharacteristic
335#487C2311yescharacteristic
336#487C2311yescharacteristic
337#486—21no—
338#486—21no—
339#486C2311yescharacteristic
340#486C2311yescharacteristic
341#486C2311yescharacteristic
342#486C2311yescharacteristic
343#486C2311yescharacteristic
344#486C2311yescharacteristic
345#485—21no—
346#485—21no—
347#485—21no—
348#485—21no—
349#485—21no—
350#485D411yescharacteristic
351#484—21no—
352#484—21no—
353#484—21no—
354#483—21no—
355#483—21no—
356#483—21no—
357#482—21no—
358#482—21no—
359#482D411yescharacteristic
360#481—21no—
361#480—21no—
362#480—21no—
363#480—21no—
364#480—21no—
365#480—21no—
366#479—21no—
367#479D411yescharacteristic
368#478—21no—
369#478—21no—
370#478D411yescharacteristic
371#477—21no—
372#477—21no—
373#477—21no—
374#477—21no—
375#476—21no—
376#476—21no—
377#475—21no—
378#475C2311yescharacteristic
379#475C2311yescharacteristic
380#475C2311yescharacteristic
381#475C2311yescharacteristic
382#474—21no—
383#474C2311yescharacteristic
384#474C2311yescharacteristic
385#474C2311yescharacteristic
386#474C2311yescharacteristic
387#474C2311yescharacteristic
388#474C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#470—21no—
392#470—21no—
393#469—21no—
394#469D411yescharacteristic
395#469D411yescharacteristic
396#468—21no—
397#468—21no—
398#468—21no—
399#468—21no—
400#468—21no—
401#468—21no—
402#468—21no—
403#468D411yescharacteristic
404#468D411yescharacteristic
405#467—21no—
406#467—21no—
407#467—21no—
408#466—21no—
409#466—21no—
410#466—21no—
411#466—41no—
412#465—21no—
413#465—21no—
414#465—21no—
415#465—21no—
416#465—21no—
417#465—21no—
418#464—21no—
419#464—21no—
420#464—21no—
421#464D411yescharacteristic
422#463—21no—
423#463—21no—
424#463—21no—
425#463—21no—
426#463—21no—
427#463—21no—
428#463—21no—
429#463—21no—
430#463D411yescharacteristic
431#462—21no—
432#462C2311yescharacteristic
433#462C2311yescharacteristic
434#462C2311yescharacteristic
435#462C2311yescharacteristic
436#462C2311yescharacteristic
437#461—21no—
438#461—21no—
439#461—21no—
440#461—21no—
441#461—21no—
442#461—21no—
443#461—21no—
444#461C2311yescharacteristic
445#461C2311yescharacteristic
446#461C2311yescharacteristic
447#461C2311yescharacteristic
448#461C2311yescharacteristic
449#461C2311yescharacteristic
450#461C2311yescharacteristic
451#460—21no—
452#460C2311yescharacteristic
453#460C2311yescharacteristic
454#460C2311yescharacteristic
455#459—21no—
456#459C2311yescharacteristic
457#459C2311yescharacteristic
458#459C2311yescharacteristic
459#459C2311yescharacteristic
460#459C2311yescharacteristic
461#452—21no—
462#452—21no—
463#452—21no—
464#452—21no—
465#452—21no—
466#452—21no—
467#452D411yescharacteristic
468#451—21no—
469#451—21no—
470#451—21no—
471#450—21no—
472#450—21no—
473#450—21no—
474#450—21no—
475#450—21no—
476#449—21no—
477#449—21no—
478#449—21no—
479#449—21no—
480#449—21no—
481#449—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#449D411yescharacteristic
486#448—21no—
487#448—21no—
488#448—21no—
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#447—21no—
498#447—21no—
499#447—21no—
500#446C2311yescharacteristic
501#446C2311yescharacteristic
502#446C2311yescharacteristic
503#446C2311yescharacteristic
504C8×Q8C2311yescharacteristic
505C8×Q8C2311yescharacteristic
506#442—21no—
507#442—21no—
508#442—21no—
509#440—21no—
510#440—21no—
511#440—21no—
512#440—21no—
513#440—21no—
514#440—21no—
515#440—21no—
516C4×Q16—21no—
517C4×Q16C2311yescharacteristic
518C4×SD16—21no—
519C4×SD16—21no—
520C4×SD16C2311yescharacteristic
521C4×SD16C2311yescharacteristic
522C4×SD16C2311yescharacteristic
523C4×SD16C2311yescharacteristic
524C4×D8—21no—
525C4×D8—41no—
526C4×D8C2311yescharacteristic
527C4×D8C2311yescharacteristic
528C4×D8C2311yescharacteristic
529#436—21no—
530#436—21no—
531#436C2311yescharacteristic
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#436C2311yescharacteristic
535#435—21no—
536#435—21no—
537#435—21no—
538#435—21no—
539#435—21no—
540#435—21no—
541C8×D4C2311yescharacteristic
542C8×D4C2311yescharacteristic
543C8×D4C2311yescharacteristic
544C8×D4C2311yescharacteristic
545C8×D4C2311yescharacteristic
546C8×D4C2311yescharacteristic
547#433—21no—
548#433—21no—
549#432—21no—
550#432C2311yescharacteristic
551#432C2311yescharacteristic
552#431C2311yescharacteristic
553#431C2311yescharacteristic
554C2×#107—41no—
555#424—21no—
556#423C2311yescharacteristic
557#419—21no—
558#419—21no—
559#419—21no—
560#418—21no—
561#417—21no—
562#417—21no—
563#417—21no—
564#417—21no—
565#417—21no—
566#417—21no—
567#416—21no—
568#416—21no—
569#416—21no—
570C2×#103—21no—
571C2×#103—21no—
572C2×#103—21no—
573C2×#102—21no—
574C2×#102—21no—
575C2×#102—21no—
576#408—21no—
577#408—21no—
578#405—21no—
579C4×M16C2311yescharacteristic
580C2×#97—21no—
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#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624C82C2311yescharacteristic
625C82C2311yescharacteristic
6262−1+4—82no—
6272−1+4—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—41no—
637C2×#41—41no—
638C2×#41—41no—
639C2×#41C2×D411yescharacteristic
640C22×Q8—21no—
641C22×Q8—21no—
642C22×Q8—21no—
643C22×Q8—21no—
644C22×Q8—21no—
645C22×Q8—21no—
646C22×Q8—41no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651#137—82no—
652#137—82no—
653AGL(1,ℤ/8)—82no—
654AGL(1,ℤ/8)—82no—
655#135—82no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16—21no—
661C2×Q16C2×D411yescharacteristic
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—82no—
681C2×SD16—82no—
682C2×SD16C2×D411yescharacteristic
683C2×SD16C2×D411yescharacteristic
684C2×SD16C2×D411yescharacteristic
685C2×SD16C2×D411yescharacteristic
686C2×D8—21no—
687C2×D8—21no—
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—41no—
692C2×D8C2×D411yescharacteristic
693C2×D8C2×D411yescharacteristic
694C2×D8C2×D411yescharacteristic
695C2×M16—21no—
696C2×M16—21no—
697C2×M16—21no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16C2×D411yescharacteristic
701C2×M16C2×D411yescharacteristic
702C22×C8—21no—
703C22×C8—21no—
704C22×C8—21no—
705C22×C8—21no—
706C22×C8—21no—
707C22×C8—21no—
708C22×C8—21no—
709C4⋊Q8—21no—
710C4⋊Q8—21no—
711C4⋊Q8—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—41no—
721C4⋊Q8—41no—
722C4⋊Q8—41no—
723C4⋊Q8C2×D411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725C4⋊Q8C2411yescharacteristic
726C4⋊Q8C2411yescharacteristic
727C4⋊Q8C2411yescharacteristic
728C4⋊Q8C2411yescharacteristic
729C4⋊Q8C2411yescharacteristic
730#127—21no—
731#127—41no—
732#127C2×D411yescharacteristic
733#127C2411yescharacteristic
734#127C2411yescharacteristic
735#126—21no—
736#126—21no—
737#126—41no—
738#126—41no—
739#126—41no—
740#126—41no—
741#126—41no—
742#126—41no—
743#126—41no—
744#125—21no—
745#125—41no—
746#125—41no—
747#125—41no—
748#125C2×D411yescharacteristic
749#125C2×D411yescharacteristic
750#124—21no—
751#124—21no—
752#124—21no—
753#124—21no—
754#124—21no—
755#124—21no—
756#124—21no—
757#124—21no—
758#124—41no—
759#124—41no—
760#124—41no—
761#124—41no—
762#124—41no—
763#124—41no—
764#124C2×D411yescharacteristic
765#124C2×D411yescharacteristic
766#123—21no—
767#123—21no—
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—
778#123—41no—
779#123—41no—
780#123—41no—
781#123—41no—
782#123—41no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
790C22⋊Q8—21no—
791C22⋊Q8—21no—
792C22⋊Q8—21no—
793C22⋊Q8—21no—
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⋊Q8C2×D411yescharacteristic
808C22⋊Q8C2×D411yescharacteristic
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—21no—
817#121—21no—
818#121—21no—
819#121—21no—
820#121—21no—
821#121—21no—
822#121—21no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121—41no—
830#121—41no—
831#121—41no—
832#121—41no—
833#121C2×D411yescharacteristic
834#121C2×D411yescharacteristic
835#121C2×D411yescharacteristic
836#121C2×D411yescharacteristic
837#120—41no—
838#120—41no—
839#120—41no—
840#120—41no—
841#120—41no—
842#120—41no—
843C4×Q8—21no—
844C4×Q8—21no—
845C4×Q8—21no—
846C4×Q8—21no—
847C4×Q8—21no—
848C4×Q8C2×D411yescharacteristic
849C4×Q8C2411yescharacteristic
850C4×Q8C2411yescharacteristic
851C4×Q8C2411yescharacteristic
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×D4C2×D411yescharacteristic
875C4×D4C2411yescharacteristic
876C4×D4C2411yescharacteristic
877C4×D4C2411yescharacteristic
878C4×D4C2411yescharacteristic
879C4×D4C2411yescharacteristic
880#117—21no—
881#117—21no—
882#117—21no—
883#117—21no—
884#117—21no—
885#117—21no—
886#117—41no—
887#117C2×D411yescharacteristic
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C42—21no—
902C2×C42C2411yescharacteristic
903#107—21no—
904#107—21no—
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—41no—
912#107—41no—
913#107—41no—
914#107—41no—
915#107—41no—
916#107C2×D411yescharacteristic
917#107C2×D411yescharacteristic
918#107C2×D411yescharacteristic
919#107C2×D411yescharacteristic
920#106—21no—
921#106—21no—
922#106—21no—
923#106—21no—
924#106C2×D411yescharacteristic
925#106C2×D411yescharacteristic
926#106C2×D411yescharacteristic
927#106C2×D411yescharacteristic
928C4⋊C8—21no—
929C4⋊C8—21no—
930C4⋊C8—21no—
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8C2×D411yescharacteristic
936C4⋊C8C2×D411yescharacteristic
937C4⋊C8C2411yescharacteristic
938C4⋊C8C2411yescharacteristic
939C4⋊C8C2411yescharacteristic
940C4⋊C8C2411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945#103—21no—
946#103—21no—
947#103—21no—
948#103—21no—
949#103—21no—
950#103—21no—
951#103—21no—
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—21no—
975#103—21no—
976#103—21no—
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
982#103C2×D411yescharacteristic
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—41no—
1008#102—41no—
1009#102C2×D411yescharacteristic
1010#102C2×D411yescharacteristic
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019C22⋊C8—21no—
1020C22⋊C8—21no—
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8C2×D411yescharacteristic
1033C22⋊C8C2×D411yescharacteristic
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040#97C2×D411yescharacteristic
1041#97C2×D411yescharacteristic
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C24—41no—
1053C24—41no—
1054#41—22no—
1055#41—41no—
1056#41—42no—
1057#41—42no—
1058#41—81no—
1059#41—81no—
1060#41—81no—
1061#41—81no—
1062#41—81no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—84no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—84no—
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—42no—
1090C2×Q8—81no—
1091C2×Q8—81no—
1092C2×Q8—81no—
1093C2×Q8—81no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8—84no—
1097C2×Q8—81no—
1098C2×Q8—81no—
1099C2×Q8—81no—
1100C2×Q8—81no—
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—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—42no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4C22×D411yescharacteristic
1138C2×D4C22×D411yescharacteristic
1139C2×D4C22×D411yescharacteristic
1140C2×D4C22×D411yescharacteristic
1141C2×D4C22×D411yescharacteristic
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
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—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4C22×D411yescharacteristic
1164C22×C4C22×D411yescharacteristic
1165C22×C4H(5,𝔽2)11yescharacteristic
1166Q16—41no—
1167Q16—81no—
1168Q16—81no—
1169Q16—81no—
1170Q16—81no—
1171Q16—81no—
1172SD16—22no—
1173SD16—41no—
1174SD16—41no—
1175SD16—41no—
1176SD16—42no—
1177SD16—42no—
1178SD16—42no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182SD16—81no—
1183SD16—81no—
1184SD16—81no—
1185SD16—81no—
1186SD16—81no—
1187SD16—81no—
1188SD16—81no—
1189SD16—81no—
1190SD16—81no—
1191SD16—81no—
1192SD16—81no—
1193SD16—81no—
1194D8—22no—
1195D8—41no—
1196D8—41no—
1197D8—42no—
1198D8—82no—
1199D8—81no—
1200D8—81no—
1201D8—81no—
1202D8—81no—
1203M16—41no—
1204M16—41no—
1205M16—81no—
1206M16—81no—
1207M16—81no—
1208M16—81no—
1209M16—81no—
1210C2×C8—21no—
1211C2×C8—21no—
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—42no—
1221C2×C8—81no—
1222C2×C8—81no—
1223C2×C8—81no—
1224C2×C8—81no—
1225C2×C8—81no—
1226C2×C8—81no—
1227C2×C8C22×D411yescharacteristic
1228C2×C8C22×D411yescharacteristic
1229C2×C8C22×D411yescharacteristic
1230C2×C8C22×D411yescharacteristic
1231C2×C8C22×D411yescharacteristic
1232C2×C8C22×D411yescharacteristic
1233C2×C8C22×D411yescharacteristic
1234C2×C8C22×D411yescharacteristic
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—41no—
1259C4⋊C4—41no—
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⋊C4C22×D411yescharacteristic
1277C4⋊C4C22×D411yescharacteristic
1278C4⋊C4C22×D411yescharacteristic
1279C4⋊C4C22×D411yescharacteristic
1280C4⋊C4C22×D411yescharacteristic
1281C4⋊C4C22×D411yescharacteristic
1282C4⋊C4C22×D411yescharacteristic
1283C4⋊C4C22×D411yescharacteristic
1284C22⋊C4—21no—
1285C22⋊C4—21no—
1286C22⋊C4—21no—
1287C22⋊C4—21no—
1288C22⋊C4—21no—
1289C22⋊C4—21no—
1290C22⋊C4—21no—
1291C22⋊C4—21no—
1292C22⋊C4—21no—
1293C22⋊C4—21no—
1294C22⋊C4—21no—
1295C22⋊C4—21no—
1296C22⋊C4—21no—
1297C22⋊C4—21no—
1298C22⋊C4—21no—
1299C22⋊C4—21no—
1300C22⋊C4—21no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C42—21no—
1326C42—21no—
1327C42—21no—
1328C42—21no—
1329C42—21no—
1330C42—41no—
1331C42—41no—
1332C42—41no—
1333C42—41no—
1334C42C22×D411yescharacteristic
1335C42C22×D411yescharacteristic
1336C42H(5,𝔽2)11yescharacteristic
1337C42C2511yescharacteristic
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—41no—
1344C23—41no—
1345C23—82no—
1346C23—161no—
1347C23—161no—
1348C23—161no—
1349C23—161no—
1350C23—161no—
1351C23D4211yescharacteristic
1352Q8—21no—
1353Q8—21no—
1354Q8—21no—
1355Q8—21no—
1356Q8—21no—
1357Q8—21no—
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361Q8—41no—
1362Q8—41no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—81no—
1371Q8—82no—
1372Q8—82no—
1373Q8—82no—
1374Q8—161no—
1375Q8—161no—
1376Q8—161no—
1377D4—21no—
1378D4—21no—
1379D4—21no—
1380D4—21no—
1381D4—21no—
1382D4—21no—
1383D4—21no—
1384D4—21no—
1385D4—21no—
1386D4—42no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—81no—
1396D4—81no—
1397D4—81no—
1398D4—81no—
1399D4—81no—
1400D4—81no—
1401D4—81no—
1402D4—81no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—161no—
1407D4—161no—
1408D4—161no—
1409D4—161no—
1410D4—161no—
1411D4—161no—
1412D4—161no—
1413D4—161no—
1414D4—161no—
1415D4#57612yes—
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—21no—
1430C2×C4—21no—
1431C2×C4—41no—
1432C2×C4—42no—
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—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—81no—
1450C2×C4—82no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4—82no—
1454C2×C4—82no—
1455C2×C4—161no—
1456C2×C4—161no—
1457C2×C4—161no—
1458C2×C4—161no—
1459C2×C4—161no—
1460C2×C4—161no—
1461C2×C4—161no—
1462C2×C4—161no—
1463C2×C4—161no—
1464C2×C4D4211yescharacteristic
1465C2×C4D4211yescharacteristic
1466C2×C4D4211yescharacteristic
1467C2×C4C23×D411yescharacteristic
1468C2×C4C23×D411yescharacteristic
1469C2×C4C2×H(5,𝔽2)11yescharacteristic
1470C8—22no—
1471C8—21no—
1472C8—21no—
1473C8—21no—
1474C8—21no—
1475C8—21no—
1476C8—21no—
1477C8—21no—
1478C8—21no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C8—41no—
1486C8—41no—
1487C8—41no—
1488C22—21no—
1489C22—22no—
1490C22—21no—
1491C22—21no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—81no—
1507C22—81no—
1508C22—81no—
1509C22—81no—
1510C22—81no—
1511C22—81no—
1512C22—322no—
1513C22—322no—
1514C22C2×D4211yescharacteristic
1515C4—21no—
1516C4—21no—
1517C4—21no—
1518C4—21no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—81no—
1531C4—81no—
1532C4—81no—
1533C4—81no—
1534C4—81no—
1535C4—81no—
1536C4C2×#57611yescharacteristic
1537C4#358411yescharacteristic
1538C4#358411yescharacteristic
1539C4#358511yescharacteristic
1540C2—41no—
1541C2—42no—
1542C2—81no—
1543C2—81no—
1544C2—81no—
1545C2—81no—
1546C2—161no—
1547C2—161no—
1548C2#6107211yescharacteristic
1549C2#6108811yescharacteristic
1550C2#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. #62618C2semidirect
2. #62583C2semidirect
3. #62032C2semidirect
4. #61692C2semidirect
5. #20312C2semidirect
6. #20306C2semidirect
7. #20269C2semidirect
8. #20194C2semidirect
9. #20168C2semidirect
10. #20162C2semidirect
11. #19998C2semidirect
12. #19970C2semidirect
13. #19914C2semidirect
14. #19914C2semidirect
15. #19912C2semidirect
16. #19884C2semidirect
17. #19795C2semidirect
18. #19793C2semidirect
19. #19787C2semidirect
20. #19787C2semidirect
21. #19638C2semidirect
22. #19536C2semidirect
23. #19505C2semidirect
24. #19383C2semidirect
25. #19319C2semidirect
26. #18704C2semidirect
27. #18699C2semidirect
28. #18658C2semidirect
29. #18650C2semidirect
30. #17996C2semidirect
31. #17968C2semidirect
33. #3546C22semidirect
34. #3514C22semidirect
36. #3400C22semidirect
39. #3373C22semidirect
40. #3368C22semidirect
44. #3367C22semidirect
45. #3364C22semidirect
46. #3359C22semidirect
52. #3328C22semidirect
53. #3328C22semidirect
54. #3324C22semidirect
67. #3302C22semidirect
69. #3298C22semidirect
70. #3298C22semidirect
73. #3294C22semidirect
75. D4×SD16C22semidirect
76. D4×SD16C22semidirect
77. #3278C22semidirect
87. #3239C22semidirect
89. #3226C22semidirect
92. #3218C22semidirect
96. #3206C22semidirect
97. #3206C22semidirect
104. C2×#500C22semidirect
105. #3141C22semidirect
106. #3141C22semidirect
113. #3039C22semidirect
116. #2993C22semidirect
117. #2981C22semidirect
118. #2970C22semidirect
119. #2969C22semidirect
120. #1719C22semidirect
121. #1719C22semidirect
122. #1719C22semidirect
123. #1719C22semidirect
124. #1710C22semidirect
125. #1710C22semidirect
128. #1702C22semidirect
129. #1702C22semidirect
130. #1702C22semidirect
132. #1700C22semidirect
133. #1700C22semidirect
134. #1700C22semidirect
135. #1700C22semidirect
136. #1699C22semidirect
137. #1699C22semidirect
138. #1699C22semidirect
139. #1699C22semidirect
140. #1686C22semidirect
143. #1685C22semidirect
144. #1682C22semidirect
148. #1680C22semidirect
149. #1680C22semidirect
150. #1679C22semidirect
151. #1679C22semidirect
152. #1679C22semidirect
153. #1679C22semidirect
154. #1679C22semidirect
155. #1679C22semidirect
156. #1666C22semidirect
159. #1665C22semidirect
160. #1650C22semidirect
161. #1650C22semidirect
162. #1650C22semidirect
163. #1650C22semidirect
164. #1649C22semidirect
165. #1649C22semidirect
166. #1649C22semidirect
167. #1649C22semidirect
168. #1649C22semidirect
169. #1649C22semidirect
170. #1649C22semidirect
171. #1648C22semidirect
172. #1648C22semidirect
177. #1647C22semidirect
178. #1647C22semidirect
179. #1647C22semidirect
180. #1642C22semidirect
181. #1640C22semidirect
182. #1639C22semidirect
183. #1639C22semidirect
192. #1594C22semidirect
193. #1592C22semidirect
194. #1591C22semidirect
195. #1590C22semidirect
196. #1590C22semidirect
198. #1584C22semidirect
199. #1582C22semidirect
200. #1582C22semidirect
203. SD16⋊C8C22semidirect
204. C8×SD16C22semidirect
205. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1572C22semidirect
209. #1569C22semidirect
210. #1557C22semidirect
211. #1556C22semidirect
212. #1553C22semidirect
213. #1546C22semidirect
214. #1494C22semidirect
215. #1494C22semidirect
216. #1492C22semidirect
217. #1476C22semidirect
218. C8×M16C22semidirect

Maximal subgroups

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

subgroupindex
#626182
#625832
#620322
#616922
#203122
#203062
#202692
#201942
#201682
#201622
#199982
#199702
#199142
#199122
#198842
#197952
#197932
#197872
#196382
#195362
#195052
#193832
#193192
#187042
#186992
#186582
#186502
#179962
#179682