Finite Group Databasebeta

← #6369392

Subgroups — #6369392

Order 512.

1611 conjugacy classes of subgroups.

The subgroup lattice has 1534 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62003C211yesmaximal, characteristic
2#61905C211yesmaximal, characteristic, complemented
3#61556C211yesmaximal, characteristic, complemented
4#61165C211yesmaximal, characteristic, complemented
5#20288C211yesmaximal, characteristic, complemented
6#20257C211yesmaximal, characteristic, complemented
7#20250C211yesmaximal, characteristic, complemented
8#20194C211yesmaximal, characteristic, complemented
9#20168C211yesmaximal, characteristic, complemented
10#20144C211yesmaximal, characteristic, complemented
11#20112C211yesmaximal, characteristic, complemented
12#20088C211yesmaximal, characteristic, complemented
13#20036C211yesmaximal, characteristic, complemented
14#19995C211yesmaximal, characteristic, complemented
15#19920C211yesmaximal, characteristic, complemented
16#19914C211yesmaximal, characteristic, complemented
17#19869C211yesmaximal, characteristic, complemented
18#19831C211yesmaximal, characteristic, complemented
19#19801C211yesmaximal, characteristic, complemented
20#19786C211yesmaximal, characteristic, complemented
21#19730C211yesmaximal, characteristic, complemented
22#19497C211yesmaximal, characteristic, complemented
23#19473C211yesmaximal, characteristic, complemented
24#19383C211yesmaximal, characteristic, complemented
25#19304C211yesmaximal, characteristic, complemented
26#18859C211yesmaximal, characteristic, complemented
27#18824C211yesmaximal, characteristic, complemented
28#18806C211yesmaximal, characteristic, complemented
29#18780C211yesmaximal, characteristic, complemented
30#18053C211yesmaximal, characteristic, complemented
31#18006C211yesmaximal, characteristic, complemented
32#3523C2211yescharacteristic, complemented
33#3517C2211yescharacteristic
34C2×#556C2211yescharacteristic
35D4×#41C2211yescharacteristic
36#3402—21no—
37#3402—21no—
38#3398C2211yescharacteristic
39#3398C2211yescharacteristic, complemented
40#3393C2211yescharacteristic
41#3393C2211yescharacteristic, complemented
42#3392C2211yescharacteristic
43#3392C2211yescharacteristic, complemented
44#3391C2211yescharacteristic
45#3383C2211yescharacteristic, complemented
46#3377—21no—
47#3377—21no—
48#3374C2211yescharacteristic, complemented
49#3368C2211yescharacteristic, complemented
50#3367C2211yescharacteristic
51#3367C2211yescharacteristic, complemented
52#3364C2211yescharacteristic
53#3364C2211yescharacteristic, complemented
54#3359C2211yescharacteristic
55#3358C2211yescharacteristic
56#3353C2211yescharacteristic, complemented
57#3351—21no—
58#3332—21no—
59#3332C2211yescharacteristic
60#3330—21no—
61#3330C2211yescharacteristic
62#3328C2211yescharacteristic
63#3328C2211yescharacteristic
64#3324C2211yescharacteristic
65#3324C2211yescharacteristic
66#3320—21no—
67#3317—21no—
68#3313—21no—
69#3313—21no—
70#3311—21no—
71#3311—21no—
72#3304C2211yescharacteristic
73#3304C2211yescharacteristic
74#3304C2211yescharacteristic, complemented
75#3302C2211yescharacteristic
76#3302C2211yescharacteristic
77#3298C2211yescharacteristic, complemented
78#3278—21no—
79#3278C2211yescharacteristic, complemented
80#3274—21no—
81#3274C2211yescharacteristic
82#3272—21no—
83#3272C2211yescharacteristic
84#3251—21no—
85#3251C2211yescharacteristic
86#3228C2211yescharacteristic
87#3226C2211yescharacteristic, complemented
88#3218C2211yescharacteristic, complemented
89#3215—21no—
90#3211—21no—
91#3209C2211yescharacteristic, complemented
92#3207—21no—
93#3207C2211yescharacteristic
94#3182C2211yescharacteristic, complemented
95#3174—21no—
96#3141C2211yescharacteristic
97#3126—21no—
98#3120—21no—
99#3117—21no—
100#3110C2211yescharacteristic
101#3107C2211yescharacteristic
102#3105—21no—
103#3105C2211yescharacteristic
104#3104—21no—
105#3103C2211yescharacteristic, complemented
106#3093—21no—
107#3079C2211yescharacteristic
108#3056—21no—
109#3037C2211yescharacteristic
110#3036—21no—
111#3036C2211yescharacteristic
112#3007—21no—
113#2991C2211yescharacteristic
114#2984C2211yescharacteristic, complemented
115#2969C2211yescharacteristic, complemented
116#2947—21no—
117C4×#137C2211yescharacteristic
118D4×M16C2211yescharacteristic
119#2896—21no—
120#1723C2211yescharacteristic, complemented
121#1722C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1719C2211yescharacteristic, complemented
124#1719C2211yescharacteristic, complemented
125#1717C2211yescharacteristic, complemented
126#1710C2211yescharacteristic, complemented
127#1709C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1701C2211yescharacteristic
131#1701C2211yescharacteristic, complemented
132#1700C2211yescharacteristic, complemented
133#1700C2211yescharacteristic, complemented
134#1699C2211yescharacteristic
135#1699C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1699C2211yescharacteristic, complemented
138#1693C2211yescharacteristic
139#1689C2211yescharacteristic, complemented
140#1689C2211yescharacteristic, complemented
141#1688C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic
144#1682C2211yescharacteristic, complemented
145#1682C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1680C2211yescharacteristic, complemented
149#1680C2211yescharacteristic, complemented
150#1680C2211yescharacteristic, complemented
151#1680C2211yescharacteristic, complemented
152#1679C2211yescharacteristic, complemented
153#1679C2211yescharacteristic, complemented
154#1673C2211yescharacteristic, complemented
155#1670C2211yescharacteristic, complemented
156#1670C2211yescharacteristic, complemented
157#1668C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1653C2211yescharacteristic, complemented
162#1652C2211yescharacteristic, complemented
163#1651C2211yescharacteristic
164#1650C2211yescharacteristic
165#1650C2211yescharacteristic
166#1650C2211yescharacteristic, complemented
167#1650C2211yescharacteristic, complemented
168#1649C2211yescharacteristic
169#1649C2211yescharacteristic, complemented
170#1648C2211yescharacteristic, complemented
171#1648C2211yescharacteristic, complemented
172#1648C2211yescharacteristic, complemented
173#1647C2211yescharacteristic
174#1647C2211yescharacteristic, complemented
175#1647C2211yescharacteristic, complemented
176#1642C2211yescharacteristic
177#1642C2211yescharacteristic, complemented
178#1642C2211yescharacteristic, complemented
179#1641C2211yescharacteristic
180#1641C2211yescharacteristic, complemented
181#1641C2211yescharacteristic, complemented
182#1639C2211yescharacteristic
183#1639C2211yescharacteristic
184#1628C2211yescharacteristic
185#1628C2211yescharacteristic
186#1628C2211yescharacteristic, complemented
187#1628C2211yescharacteristic, complemented
188#1628C2211yescharacteristic, complemented
189#1627C2211yescharacteristic, complemented
190#1626C2211yescharacteristic, complemented
191#1626C2211yescharacteristic, complemented
192#1594C2211yescharacteristic
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic
195#1590C2211yescharacteristic, complemented
196#1588C2211yescharacteristic
197#1588C2211yescharacteristic, complemented
198#1587C2211yescharacteristic, complemented
199#1586C2211yescharacteristic, complemented
200#1584C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1582C2211yescharacteristic, complemented
203#1581C2211yescharacteristic
204#1579C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×Q16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1561C2211yescharacteristic, complemented
211#1557C2211yescharacteristic, complemented
212#1553C2211yescharacteristic
213#1546C2211yescharacteristic, complemented
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic
216#1487C2211yescharacteristic, complemented
217#1478C2211yescharacteristic
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—21no—
221C2×#137—21no—
222C2×#137D411yescharacteristic
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×AGL(1,ℤ/8)—21no—
226C22×M16—21no—
227#557—21no—
228#557C2311yescharacteristic
229#557C2311yescharacteristic
230#557C2311yescharacteristic
231#556—21no—
232#556—21no—
233#556—21no—
234#556—21no—
235#556—21no—
236#556—41no—
237#556C2311yescharacteristic
238#556C2311yescharacteristic
239#556C2311yescharacteristic
240#556C2311yescharacteristic
241#556C2311yescharacteristic
242#553—21no—
243#553—41no—
244#552—21no—
245#552—41no—
246#550—21no—
247#550—21no—
248#550C2311yescharacteristic
249#550C2311yescharacteristic
250#550C2311yescharacteristic
251D4×Q8—21no—
252D4×Q8C2311yescharacteristic
253D4×Q8C2311yescharacteristic
254#548—21no—
255#547—21no—
256#547—21no—
257#547C2311yescharacteristic
258#547C2311yescharacteristic
259#546—21no—
260#546—41no—
261D42—21no—
262D42C2311yescharacteristic
263#541—21no—
264#541—41no—
265#540—21no—
266#540—41no—
267#533—21no—
268#533C2311yescharacteristic
269#532—21no—
270#532—21no—
271#532C2311yescharacteristic
272#532C2311yescharacteristic
273C2×C4⋊Q8C2311yescharacteristic
274#529—21no—
275#529—21no—
276#529C2311yescharacteristic
277C2×#126—41no—
278C2×#124—21no—
279#525—21no—
280#525—41no—
281C2×C22⋊Q8—21no—
282#520—21no—
283#519—21no—
284C4×#41C2311yescharacteristic
285C2×C4×Q8—21no—
286C2×C4×Q8C2311yescharacteristic
287C2×C4×D4—21no—
288C2×C4×D4C2311yescharacteristic
289C2×#117—21no—
290#500C2311yescharacteristic
291#500C2311yescharacteristic
292#500C2311yescharacteristic
293#500C2311yescharacteristic
294#499—21no—
295#498C2311yescharacteristic
296#497—21no—
297#497—21no—
298#497—21no—
299#495—21no—
300#495—21no—
301#494C2311yescharacteristic
302#494C2311yescharacteristic
303#493—21no—
304#493C2311yescharacteristic
305#492—21no—
306#492—21no—
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#491—21no—
310#491—21no—
311#490—21no—
312#489—21no—
313#489—21no—
314#489—21no—
315#489—21no—
316#488—21no—
317#488—21no—
318#487—21no—
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#486—21no—
326#486C2311yescharacteristic
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#485—21no—
335#485—21no—
336#485—21no—
337#485—21no—
338#485—21no—
339#484—21no—
340#484—21no—
341#484—21no—
342#484D411yescharacteristic
343#483—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#482—21no—
350#482—41no—
351#481—21no—
352#481—21no—
353#481D411yescharacteristic
354#480—41no—
355#479—21no—
356#479—21no—
357#479—21no—
358#479—21no—
359#479—21no—
360#478—21no—
361#478—21no—
362#478—41no—
363#478D411yescharacteristic
364#478D411yescharacteristic
365#477—21no—
366#477—21no—
367#477—21no—
368#476—21no—
369#475—21no—
370#475C2311yescharacteristic
371#475C2311yescharacteristic
372#475C2311yescharacteristic
373#475C2311yescharacteristic
374#475C2311yescharacteristic
375#475C2311yescharacteristic
376#474—21no—
377#474—41no—
378#474C2311yescharacteristic
379#474C2311yescharacteristic
380#474C2311yescharacteristic
381#474C2311yescharacteristic
382#474C2311yescharacteristic
383#474C2311yescharacteristic
384#470—21no—
385#470—21no—
386#469—21no—
387#469—21no—
388#469—21no—
389#468—21no—
390#468—21no—
391#468—21no—
392#468—21no—
393#468—21no—
394#468—21no—
395#468—21no—
396#468—21no—
397#468—21no—
398#467—21no—
399#467—21no—
400#465—21no—
401#465—21no—
402#465—21no—
403#465—21no—
404#464—21no—
405#464—21no—
406#464—21no—
407#464—21no—
408#464—21no—
409#464—21no—
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#463D411yescharacteristic
422#463D411yescharacteristic
423#462—21no—
424#462—21no—
425#462—21no—
426#462—21no—
427#462—21no—
428#462C2311yescharacteristic
429#462C2311yescharacteristic
430#462C2311yescharacteristic
431#462C2311yescharacteristic
432#462C2311yescharacteristic
433#461—21no—
434#461—21no—
435#461—21no—
436#461C2311yescharacteristic
437#461C2311yescharacteristic
438#461C2311yescharacteristic
439#461C2311yescharacteristic
440#461C2311yescharacteristic
441#461C2311yescharacteristic
442#461C2311yescharacteristic
443#460—21no—
444#460—21no—
445#460—21no—
446#460C2311yescharacteristic
447#460C2311yescharacteristic
448#460C2311yescharacteristic
449#460C2311yescharacteristic
450#460C2311yescharacteristic
451#459—21no—
452#459—21no—
453#459—21no—
454#459C2311yescharacteristic
455#459C2311yescharacteristic
456#459C2311yescharacteristic
457#452—21no—
458#452—21no—
459#452—21no—
460#452—21no—
461#452—21no—
462#452—21no—
463#452—21no—
464#451—21no—
465#451—21no—
466#451—21no—
467#451—21no—
468#451—21no—
469#450—21no—
470#450—21no—
471#450—21no—
472#450—21no—
473#450D411yescharacteristic
474#449—21no—
475#449—21no—
476#449—21no—
477#449—21no—
478#449—21no—
479#449—21no—
480#448—21no—
481#448—21no—
482#448—21no—
483#448—21no—
484#447—21no—
485#447D411yescharacteristic
486#446—21no—
487#446—21no—
488#446C2311yescharacteristic
489#446C2311yescharacteristic
490#446C2311yescharacteristic
491C8×Q8C2311yescharacteristic
492C8×Q8C2311yescharacteristic
493C8×Q8C2311yescharacteristic
494C8×Q8C2311yescharacteristic
495C8×Q8C2311yescharacteristic
496#441—21no—
497#441—21no—
498#441—21no—
499#441D411yescharacteristic
500#441D411yescharacteristic
501#440—21no—
502#440—21no—
503#440—21no—
504#440—21no—
505#440—21no—
506#440—21no—
507#440—21no—
508#440D411yescharacteristic
509#440D411yescharacteristic
510C4×Q16—21no—
511C4×Q16—21no—
512C4×Q16—21no—
513C4×Q16—21no—
514C4×Q16—21no—
515C4×Q16—21no—
516C4×Q16C2311yescharacteristic
517C4×Q16C2311yescharacteristic
518C4×SD16—21no—
519C4×SD16—21no—
520C4×SD16—21no—
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16—21no—
524C4×SD16C2311yescharacteristic
525C4×SD16C2311yescharacteristic
526C4×SD16C2311yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×D8—21no—
529C4×D8—21no—
530C4×D8C2311yescharacteristic
531C4×D8C2311yescharacteristic
532#436—21no—
533#436—21no—
534#436—21no—
535#436C2311yescharacteristic
536#436C2311yescharacteristic
537#436C2311yescharacteristic
538#436C2311yescharacteristic
539#436C2311yescharacteristic
540#435—21no—
541#435—21no—
542#435—21no—
543C8×D4C2311yescharacteristic
544C8×D4C2311yescharacteristic
545C8×D4C2311yescharacteristic
546#433—21no—
547#432—21no—
548#432C2311yescharacteristic
549#431—21no—
550#431—21no—
551#431C2311yescharacteristic
552#431C2311yescharacteristic
553#431C2311yescharacteristic
554#428—21no—
555#428—21no—
556#428D411yescharacteristic
557#423—21no—
558#423C2311yescharacteristic
559#423C2311yescharacteristic
560#419—21no—
561#419—21no—
562#419D411yescharacteristic
563#418—21no—
564#418—21no—
565#417—21no—
566#417—21no—
567#417—21no—
568#417—21no—
569#417—21no—
570#417—21no—
571#417—21no—
572#417D411yescharacteristic
573#416—21no—
574#416—21no—
575#416—21no—
576#416—21no—
577#416—21no—
578C2×#103—21no—
579#407—21no—
580#405—21no—
581C4×M16C2311yescharacteristic
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
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—44no—
636C2×#41—82no—
637C2×#41C2×D411yescharacteristic
638C22×Q8—21no—
639C22×Q8—21no—
640C22×Q8—21no—
641C22×Q8C2×D411yescharacteristic
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—41no—
645C22×D4C2×D411yescharacteristic
646C23×C4—21no—
647C23×C4—41no—
648#137—42no—
649#137—44no—
650#137—82no—
651AGL(1,ℤ/8)—82no—
652AGL(1,ℤ/8)—82no—
653AGL(1,ℤ/8)—82no—
654C2×Q16—21no—
655C2×Q16—21no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16—21no—
661C2×Q16—21no—
662C2×Q16—21no—
663C2×Q16C2×D411yescharacteristic
664C2×Q16C2×D411yescharacteristic
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16C2×D411yescharacteristic
682C2×SD16C2×D411yescharacteristic
683C2×SD16C2×D411yescharacteristic
684C2×SD16C2×D411yescharacteristic
685C2×D8—21no—
686C2×D8—21no—
687C2×D8—21no—
688C2×D8—21no—
689C2×D8—21no—
690C2×D8C2×D411yescharacteristic
691C2×D8C2×D411yescharacteristic
692C2×M16—21no—
693C2×M16—21no—
694C2×M16—21no—
695C2×M16—21no—
696C2×M16—21no—
697C2×M16—21no—
698C2×M16—21no—
699C2×M16—82no—
700C2×M16C2×D411yescharacteristic
701C2×M16C2×D411yescharacteristic
702C22×C8—21no—
703C22×C8—21no—
704C22×C8—21no—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—21no—
709C4⋊Q8—21no—
710C4⋊Q8—21no—
711C4⋊Q8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—41no—
714C4⋊Q8C2411yescharacteristic
715C4⋊Q8C2411yescharacteristic
716C4⋊Q8C2411yescharacteristic
717C4⋊Q8C2411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720#127—21no—
721#127—21no—
722#127—21no—
723#127—41no—
724#127C2411yescharacteristic
725#127C2411yescharacteristic
726#126—21no—
727#126—41no—
728#126—41no—
729#126—41no—
730#126—41no—
731#126—41no—
732#126—41no—
733#126—41no—
734#126—41no—
735#126—41no—
736#126—41no—
737#126—41no—
738#126—41no—
739#126—41no—
740#125—21no—
741#125—21no—
742#125—21no—
743#125—21no—
744#125—41no—
745#125—41no—
746#125—41no—
747#125—41no—
748#125—41no—
749#125—41no—
750#125C2×D411yescharacteristic
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#124C2×D411yescharacteristic
762#123—21no—
763#123—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770#123—41no—
771C22⋊Q8—21no—
772C22⋊Q8—21no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8C2×D411yescharacteristic
790#121—21no—
791#121—21no—
792#121—21no—
793#121—21no—
794#121—21no—
795#121—21no—
796#121—21no—
797#121—21no—
798#121—21no—
799#121—21no—
800#121—21no—
801#121—41no—
802#121—41no—
803#121—41no—
804#121—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#121—41no—
809#121—41no—
810#121—41no—
811#121C2×D411yescharacteristic
812#120—41no—
813#120—41no—
814#120—41no—
815C4×Q8—21no—
816C4×Q8—21no—
817C4×Q8—21no—
818C4×Q8—21no—
819C4×Q8—21no—
820C4×Q8—21no—
821C4×Q8—21no—
822C4×Q8—21no—
823C4×Q8—21no—
824C4×Q8—21no—
825C4×Q8—21no—
826C4×Q8—21no—
827C4×Q8—21no—
828C4×Q8—21no—
829C4×Q8—21no—
830C4×Q8—41no—
831C4×Q8—41no—
832C4×Q8—41no—
833C4×Q8—41no—
834C4×Q8C2×D411yescharacteristic
835C4×Q8C2×D411yescharacteristic
836C4×Q8C2×D411yescharacteristic
837C4×Q8C2411yescharacteristic
838C4×Q8C2411yescharacteristic
839C4×Q8C2411yescharacteristic
840C4×Q8C2411yescharacteristic
841C4×D4—21no—
842C4×D4—21no—
843C4×D4—21no—
844C4×D4—21no—
845C4×D4—21no—
846C4×D4—21no—
847C4×D4—21no—
848C4×D4—21no—
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4—41no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4—41no—
863C4×D4C2×D411yescharacteristic
864C4×D4C2×D411yescharacteristic
865C4×D4C2×D411yescharacteristic
866C4×D4C2411yescharacteristic
867C4×D4C2411yescharacteristic
868C4×D4C2411yescharacteristic
869C4×D4C2411yescharacteristic
870#117—21no—
871#117—21no—
872#117—21no—
873#117—21no—
874#117—21no—
875#117—21no—
876#117—21no—
877#117—21no—
878#117—41no—
879#117—41no—
880#117—41no—
881#117—41no—
882#117—41no—
883#117—41no—
884#117C2×D411yescharacteristic
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—41no—
891C2×C4⋊C4—41no—
892C2×C4⋊C4C2×D411yescharacteristic
893C2×C4⋊C4C2×D411yescharacteristic
894C2×C22⋊C4—21no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C42—21no—
899C2×C42—21no—
900C2×C42—41no—
901C2×C42C2411yescharacteristic
902#107—21no—
903#107—21no—
904#107—21no—
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107—21no—
910#107—41no—
911#107—41no—
912#107—41no—
913#107C2×D411yescharacteristic
914#107C2×D411yescharacteristic
915#107C2×D411yescharacteristic
916#107C2×D411yescharacteristic
917#106—21no—
918#106—21no—
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—41no—
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⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8C2×D411yescharacteristic
940C4⋊C8C2×D411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
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#103—21no—
978#103—21no—
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
982#103C2×D411yescharacteristic
983#103C2×D411yescharacteristic
984#103C2×D411yescharacteristic
985#103C2×D411yescharacteristic
986#103C2×D411yescharacteristic
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—41no—
1010#102—41no—
1011#102—41no—
1012#102—41no—
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
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#97C2×D411yescharacteristic
1039#97C2×D411yescharacteristic
1040C4×C8—21no—
1041C4×C8—21no—
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—21no—
1053C24—41no—
1054#41—22no—
1055#41—41no—
1056#41—42no—
1057#41—42no—
1058#41—42no—
1059#41—42no—
1060#41—42no—
1061#41—81no—
1062#41—81no—
1063#41—84no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—84no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—41no—
1080C2×Q8—41no—
1081C2×Q8—41no—
1082C2×Q8—41no—
1083C2×Q8—41no—
1084C2×Q8—42no—
1085C2×Q8—42no—
1086C2×Q8—81no—
1087C2×Q8—81no—
1088C2×Q8—81no—
1089C2×Q8—81no—
1090C2×Q8C22×D411yescharacteristic
1091C2×Q8C22×D411yescharacteristic
1092C2×Q8C22×D411yescharacteristic
1093C2×Q8C22×D411yescharacteristic
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—84no—
1122C2×D4C22×D411yescharacteristic
1123C2×D4C22×D411yescharacteristic
1124C2×D4C22×D411yescharacteristic
1125C2×D4C22×D411yescharacteristic
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—42no—
1141C22×C4—42no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—84no—
1150C22×C4C22×D411yescharacteristic
1151C22×C4C22×D411yescharacteristic
1152C22×C4H(5,𝔽2)11yescharacteristic
1153Q16—22no—
1154Q16—22no—
1155Q16—42no—
1156Q16—81no—
1157Q16—81no—
1158Q16—81no—
1159Q16—81no—
1160Q16—81no—
1161Q16—81no—
1162Q16—81no—
1163Q16—81no—
1164SD16—41no—
1165SD16—41no—
1166SD16—41no—
1167SD16—41no—
1168SD16—42no—
1169SD16—42no—
1170SD16—42no—
1171SD16—81no—
1172SD16—81no—
1173SD16—81no—
1174SD16—81no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178SD16—81no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182SD16—81no—
1183SD16—81no—
1184D8—41no—
1185D8—41no—
1186D8—42no—
1187D8—81no—
1188D8—81no—
1189D8—81no—
1190D8—81no—
1191M16—41no—
1192M16—41no—
1193M16—42no—
1194M16—42no—
1195M16—81no—
1196M16—81no—
1197M16—81no—
1198M16—81no—
1199M16—81no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—81no—
1211C2×C8—81no—
1212C2×C8—81no—
1213C2×C8C22×D411yescharacteristic
1214C2×C8C22×D411yescharacteristic
1215C2×C8C22×D411yescharacteristic
1216C2×C8C22×D411yescharacteristic
1217C2×C8C22×D411yescharacteristic
1218C2×C8C22×D411yescharacteristic
1219C2×C8C22×D411yescharacteristic
1220C2×C8C22×D411yescharacteristic
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
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—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
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⋊C4C22×D411yescharacteristic
1268C4⋊C4C22×D411yescharacteristic
1269C4⋊C4C22×D411yescharacteristic
1270C4⋊C4C22×D411yescharacteristic
1271C4⋊C4C22×D411yescharacteristic
1272C4⋊C4C22×D411yescharacteristic
1273C4⋊C4C22×D411yescharacteristic
1274C4⋊C4C22×D411yescharacteristic
1275C22⋊C4—21no—
1276C22⋊C4—21no—
1277C22⋊C4—21no—
1278C22⋊C4—21no—
1279C22⋊C4—21no—
1280C22⋊C4—21no—
1281C22⋊C4—21no—
1282C22⋊C4—21no—
1283C22⋊C4—21no—
1284C22⋊C4—21no—
1285C22⋊C4—21no—
1286C22⋊C4—21no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
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—
1310C42—21no—
1311C42—21no—
1312C42—21no—
1313C42—21no—
1314C42—21no—
1315C42—21no—
1316C42—21no—
1317C42—21no—
1318C42—41no—
1319C42—41no—
1320C42—41no—
1321C42—41no—
1322C42—41no—
1323C42—41no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42C22×D411yescharacteristic
1328C42C22×D411yescharacteristic
1329C42H(5,𝔽2)11yescharacteristic
1330C42C2511yescharacteristic
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—42no—
1336C23—41no—
1337C23—41no—
1338C23—81no—
1339C23—81no—
1340C23—82no—
1341C23—82no—
1342C23—161no—
1343C23D4211yescharacteristic
1344Q8—21no—
1345Q8—21no—
1346Q8—21no—
1347Q8—21no—
1348Q8—21no—
1349Q8—21no—
1350Q8—21no—
1351Q8—41no—
1352Q8—41no—
1353Q8—41no—
1354Q8—41no—
1355Q8—41no—
1356Q8—41no—
1357Q8—41no—
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361Q8—41no—
1362Q8—41no—
1363Q8—81no—
1364Q8—82no—
1365Q8—82no—
1366Q8—82no—
1367Q8#57512yes—
1368D4—21no—
1369D4—21no—
1370D4—21no—
1371D4—21no—
1372D4—21no—
1373D4—21no—
1374D4—21no—
1375D4—21no—
1376D4—42no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—81no—
1386D4—82no—
1387D4—82no—
1388D4—81no—
1389D4—81no—
1390D4—81no—
1391D4—82no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—161no—
1396D4—161no—
1397D4—161no—
1398D4—161no—
1399D4—161no—
1400D4—161no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—41no—
1418C2×C4—42no—
1419C2×C4—42no—
1420C2×C4—42no—
1421C2×C4—42no—
1422C2×C4—42no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
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—81no—
1438C2×C4—82no—
1439C2×C4—82no—
1440C2×C4—82no—
1441C2×C4—82no—
1442C2×C4—81no—
1443C2×C4—82no—
1444C2×C4—82no—
1445C2×C4—82no—
1446C2×C4—161no—
1447C2×C4—161no—
1448C2×C4—161no—
1449C2×C4D4211yescharacteristic
1450C2×C4D4211yescharacteristic
1451C2×C4D4211yescharacteristic
1452C2×C4C23×D411yescharacteristic
1453C2×C4C23×D411yescharacteristic
1454C2×C4C2×H(5,𝔽2)11yescharacteristic
1455C8—21no—
1456C8—21no—
1457C8—21no—
1458C8—21no—
1459C8—21no—
1460C8—21no—
1461C8—21no—
1462C8—21no—
1463C8—41no—
1464C8—41no—
1465C8—41no—
1466C8—41no—
1467C8—41no—
1468C8—41no—
1469C8—41no—
1470C8—41no—
1471C8—41no—
1472C8—41no—
1473C22—21no—
1474C22—21no—
1475C22—21no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—81no—
1489C22—81no—
1490C22—81no—
1491C22—81no—
1492C22—81no—
1493C22—81no—
1494C22—162no—
1495C22—164no—
1496C22C2×D4211yescharacteristic
1497C4—21no—
1498C4—22no—
1499C4—21no—
1500C4—21no—
1501C4—21no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—81no—
1514C4—81no—
1515C4—81no—
1516C4—81no—
1517C4—81no—
1518C4—81no—
1519C4C2×#57511yescharacteristic
1520C4#358411yescharacteristic
1521C4#358511yescharacteristic
1522C4#358511yescharacteristic
1523C2—41no—
1524C2—81no—
1525C2—81no—
1526C2—81no—
1527C2—81no—
1528C2—161no—
1529C2—161no—
1530C2#6106611yescharacteristic
1531C2#6107711yescharacteristic
1532C2#6110811yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
prime radical#62003C2
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
2. #61905C2semidirect
3. #61556C2semidirect
4. #61165C2semidirect
5. #20288C2semidirect
6. #20257C2semidirect
7. #20250C2semidirect
8. #20194C2semidirect
9. #20168C2semidirect
10. #20144C2semidirect
11. #20112C2semidirect
12. #20088C2semidirect
13. #20036C2semidirect
14. #19995C2semidirect
15. #19920C2semidirect
16. #19914C2semidirect
17. #19869C2semidirect
18. #19831C2semidirect
19. #19801C2semidirect
20. #19786C2semidirect
21. #19730C2semidirect
22. #19497C2semidirect
23. #19473C2semidirect
24. #19383C2semidirect
25. #19304C2semidirect
26. #18859C2semidirect
27. #18824C2semidirect
28. #18806C2semidirect
29. #18780C2semidirect
30. #18053C2semidirect
31. #18006C2semidirect
32. #3523C22semidirect
39. #3398C22semidirect
41. #3393C22semidirect
43. #3392C22semidirect
45. #3383C22semidirect
48. #3374C22semidirect
49. #3368C22semidirect
51. #3367C22semidirect
53. #3364C22semidirect
56. #3353C22semidirect
74. #3304C22semidirect
77. #3298C22semidirect
79. #3278C22semidirect
87. #3226C22semidirect
88. #3218C22semidirect
91. #3209C22semidirect
94. #3182C22semidirect
105. #3103C22semidirect
114. #2984C22semidirect
115. #2969C22semidirect
120. #1723C22semidirect
121. #1722C22semidirect
122. #1720C22semidirect
123. #1719C22semidirect
124. #1719C22semidirect
125. #1717C22semidirect
126. #1710C22semidirect
127. #1709C22semidirect
128. #1702C22semidirect
129. #1702C22semidirect
131. #1701C22semidirect
132. #1700C22semidirect
133. #1700C22semidirect
135. #1699C22semidirect
136. #1699C22semidirect
137. #1699C22semidirect
139. #1689C22semidirect
140. #1689C22semidirect
141. #1688C22semidirect
142. #1686C22semidirect
144. #1682C22semidirect
145. #1682C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1680C22semidirect
149. #1680C22semidirect
150. #1680C22semidirect
151. #1680C22semidirect
152. #1679C22semidirect
153. #1679C22semidirect
154. #1673C22semidirect
155. #1670C22semidirect
156. #1670C22semidirect
157. #1668C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
161. #1653C22semidirect
162. #1652C22semidirect
166. #1650C22semidirect
167. #1650C22semidirect
169. #1649C22semidirect
170. #1648C22semidirect
171. #1648C22semidirect
172. #1648C22semidirect
174. #1647C22semidirect
175. #1647C22semidirect
177. #1642C22semidirect
178. #1642C22semidirect
180. #1641C22semidirect
181. #1641C22semidirect
186. #1628C22semidirect
187. #1628C22semidirect
188. #1628C22semidirect
189. #1627C22semidirect
190. #1626C22semidirect
191. #1626C22semidirect
193. #1592C22semidirect
195. #1590C22semidirect
197. #1588C22semidirect
198. #1587C22semidirect
199. #1586C22semidirect
200. #1584C22semidirect
201. #1583C22semidirect
202. #1582C22semidirect
204. #1579C22semidirect
205. SD16⋊C8C22semidirect
206. C8×Q16C22semidirect
207. C8×D8C22semidirect
208. #1574C22semidirect
209. #1569C22semidirect
210. #1561C22semidirect
211. #1557C22semidirect
213. #1546C22semidirect
214. #1495C22semidirect
216. #1487C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#620032
#619052
#615562
#611652
#202882
#202572
#202502
#201942
#201682
#201442
#201122
#200882
#200362
#199952
#199202
#199142
#198692
#198312
#198012
#197862
#197302
#194972
#194732
#193832
#193042
#188592
#188242
#188062
#187802
#180532
#180062