Finite Group Databasebeta

← #6369296

Subgroups — #6369296

Order 512.

1614 conjugacy classes of subgroups.

The subgroup lattice has 1535 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61989C211yesmaximal, characteristic
2#61905C211yesmaximal, characteristic, complemented
3#61540C211yesmaximal, characteristic, complemented
4#61165C211yesmaximal, characteristic, complemented
5#20306C211yesmaximal, characteristic, complemented
6#20278C211yesmaximal, characteristic, complemented
7#20271C211yesmaximal, characteristic, complemented
8#20269C211yesmaximal, characteristic, complemented
9#20176C211yesmaximal, characteristic, complemented
10#20142C211yesmaximal, characteristic, complemented
11#20135C211yesmaximal, characteristic, complemented
12#20054C211yesmaximal, characteristic, complemented
13#20043C211yesmaximal, characteristic, complemented
14#19998C211yesmaximal, characteristic, complemented
15#19963C211yesmaximal, characteristic, complemented
16#19900C211yesmaximal, characteristic, complemented
17#19870C211yesmaximal, characteristic, complemented
18#19821C211yesmaximal, characteristic, complemented
19#19787C211yesmaximal, characteristic, complemented
20#19777C211yesmaximal, characteristic, complemented
21#19730C211yesmaximal, characteristic, complemented
22#19485C211yesmaximal, characteristic, complemented
23#19473C211yesmaximal, characteristic, complemented
24#19383C211yesmaximal, characteristic, complemented
25#19304C211yesmaximal, characteristic, complemented
26#18843C211yesmaximal, characteristic, complemented
27#18824C211yesmaximal, characteristic, complemented
28#18806C211yesmaximal, characteristic, complemented
29#18780C211yesmaximal, characteristic, complemented
30#18051C211yesmaximal, characteristic, complemented
31#18008C211yesmaximal, characteristic, complemented
32#3523C2211yescharacteristic, complemented
33#3514C2211yescharacteristic
34C2×#556C2211yescharacteristic, complemented
35D4×#41C2211yescharacteristic
36#3402—21no—
37#3402—21no—
38#3400C2211yescharacteristic, complemented
39#3399C2211yescharacteristic
40#3398C2211yescharacteristic, complemented
41#3398C2211yescharacteristic, complemented
42#3397C2211yescharacteristic
43#3393C2211yescharacteristic
44#3393C2211yescharacteristic, complemented
45#3386C2211yescharacteristic, complemented
46#3377—21no—
47#3377—21no—
48#3373C2211yescharacteristic
49#3367C2211yescharacteristic
50#3367C2211yescharacteristic
51#3367C2211yescharacteristic, complemented
52#3365C2211yescharacteristic, complemented
53#3364C2211yescharacteristic, complemented
54#3364C2211yescharacteristic, complemented
55#3359C2211yescharacteristic, complemented
56#3348—21no—
57#3342C2211yescharacteristic, complemented
58#3329—21no—
59#3328C2211yescharacteristic, complemented
60#3328C2211yescharacteristic, complemented
61#3328C2211yescharacteristic, complemented
62#3324C2211yescharacteristic
63#3324C2211yescharacteristic
64#3324C2211yescharacteristic, complemented
65#3323—21no—
66#3313—21no—
67#3313—21no—
68#3311—21no—
69#3311—21no—
70#3308—21no—
71#3306—21no—
72#3304C2211yescharacteristic, complemented
73#3304C2211yescharacteristic, complemented
74#3302C2211yescharacteristic
75#3302C2211yescharacteristic
76#3298C2211yescharacteristic
77#3294C2211yescharacteristic
78D4×SD16C2211yescharacteristic
79D4×SD16C2211yescharacteristic, complemented
80D4×D8C2211yescharacteristic
81#3266—21no—
82#3265—21no—
83#3264—21no—
84#3251C2211yescharacteristic
85#3247—21no—
86#3228C2211yescharacteristic, complemented
87#3226C2211yescharacteristic, complemented
88#3218C2211yescharacteristic, complemented
89#3215—21no—
90#3213—21no—
91#3211—21no—
92#3209C2211yescharacteristic, complemented
93#3207C2211yescharacteristic
94#3182C2211yescharacteristic, complemented
95#3178—21no—
96#3141C2211yescharacteristic, complemented
97#3123—21no—
98#3121—21no—
99#3117—21no—
100#3114—21no—
101#3110C2211yescharacteristic, complemented
102#3107C2211yescharacteristic
103#3105C2211yescharacteristic
104#3104—21no—
105#3103C2211yescharacteristic, complemented
106#3093—21no—
107#3079C2211yescharacteristic
108#3056—21no—
109#3037C2211yescharacteristic, complemented
110#3036C2211yescharacteristic
111C2×#463—21no—
112#3007—21no—
113#2990C2211yescharacteristic
114#2984C2211yescharacteristic, complemented
115#2969C2211yescharacteristic, complemented
116#2949—21no—
117C4×#137C2211yescharacteristic
118D4×M16C2211yescharacteristic, complemented
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#1700C2211yescharacteristic, complemented
135#1700C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1699C2211yescharacteristic, complemented
138#1693C2211yescharacteristic, complemented
139#1690C2211yescharacteristic, complemented
140#1690C2211yescharacteristic, 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#1679C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1679C2211yescharacteristic, complemented
153#1679C2211yescharacteristic, complemented
154#1673C2211yescharacteristic, complemented
155#1669C2211yescharacteristic, complemented
156#1669C2211yescharacteristic, complemented
157#1668C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1653C2211yescharacteristic, complemented
162#1652C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1650C2211yescharacteristic, complemented
165#1650C2211yescharacteristic, complemented
166#1650C2211yescharacteristic, complemented
167#1650C2211yescharacteristic, complemented
168#1650C2211yescharacteristic, complemented
169#1650C2211yescharacteristic, complemented
170#1649C2211yescharacteristic, complemented
171#1649C2211yescharacteristic, complemented
172#1649C2211yescharacteristic, complemented
173#1649C2211yescharacteristic, complemented
174#1648C2211yescharacteristic, complemented
175#1647C2211yescharacteristic
176#1642C2211yescharacteristic, complemented
177#1641C2211yescharacteristic, complemented
178#1640C2211yescharacteristic, complemented
179#1640C2211yescharacteristic, complemented
180#1639C2211yescharacteristic
181#1639C2211yescharacteristic
182#1639C2211yescharacteristic, complemented
183#1639C2211yescharacteristic, complemented
184#1628C2211yescharacteristic
185#1628C2211yescharacteristic
186#1628C2211yescharacteristic, complemented
187#1628C2211yescharacteristic, complemented
188#1628C2211yescharacteristic, complemented
189#1627C2211yescharacteristic, complemented
190#1626C2211yescharacteristic, complemented
191#1626C2211yescharacteristic, complemented
192#1593C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1591C2211yescharacteristic, complemented
195#1589C2211yescharacteristic
196#1587C2211yescharacteristic, complemented
197#1586C2211yescharacteristic
198#1585C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1584C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1582C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×SD16C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1561C2211yescharacteristic, complemented
211#1557C2211yescharacteristic, complemented
212#1553C2211yescharacteristic, complemented
213#1546C2211yescharacteristic, complemented
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic
216#1487C2211yescharacteristic, complemented
217#1478C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—21no—
221C2×#137D411yescharacteristic
222C2×AGL(1,ℤ/8)—21no—
223C22×SD16—21no—
224C22×SD16—21no—
225C22×D8—21no—
226C22×M16—21no—
227#559C2311yescharacteristic
228#557—21no—
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#556C2311yescharacteristic
243#555—21no—
244#552—21no—
245#552—41no—
246#551—41no—
247#550C2311yescharacteristic
248D4×Q8—21no—
249D4×Q8C2311yescharacteristic
250D4×Q8C2311yescharacteristic
251D4×Q8C2311yescharacteristic
252#548—21no—
253#548—21no—
254#547—21no—
255#547C2311yescharacteristic
256#546—21no—
257#546—21no—
258#546—21no—
259#546—41no—
260D42—21no—
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263#542—21no—
264#541—21no—
265#541—41no—
266#538—41no—
267#533—21no—
268#533C2311yescharacteristic
269#532—21no—
270#532C2311yescharacteristic
271#532C2311yescharacteristic
272C2×C4⋊Q8C2311yescharacteristic
273#529—21no—
274#529—21no—
275#529C2311yescharacteristic
276C2×#126—41no—
277C2×#124—21no—
278C2×#124—21no—
279#525—21no—
280#525—41no—
281C2×C22⋊Q8—21no—
282#519—21no—
283#518—21no—
284C4×#41C2311yescharacteristic
285C2×C4×Q8—21no—
286C2×C4×Q8C2311yescharacteristic
287C2×C4×D4—21no—
288C2×C4×D4C2311yescharacteristic
289C2×#117—21no—
290#501—21no—
291#500C2311yescharacteristic
292#500C2311yescharacteristic
293#500C2311yescharacteristic
294#500C2311yescharacteristic
295#498C2311yescharacteristic
296#497—21no—
297#497—21no—
298#497—21no—
299#497—21no—
300#496—21no—
301#496—21no—
302#495—21no—
303#495—21no—
304#494C2311yescharacteristic
305#494C2311yescharacteristic
306#493C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#491—21no—
310#489—21no—
311#489—21no—
312#489—21no—
313#489—21no—
314#489—21no—
315#489—21no—
316#488—21no—
317#488—21no—
318#488—21no—
319#487—21no—
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#487C2311yescharacteristic
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#485—21no—
340#485—21no—
341#485—21no—
342#484—21no—
343#484D411yescharacteristic
344#483—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#482—21no—
350#482—41no—
351#481—21no—
352#481D411yescharacteristic
353#480—21no—
354#480—41no—
355#479—21no—
356#479—21no—
357#478—21no—
358#478—21no—
359#478—21no—
360#478—41no—
361#478D411yescharacteristic
362#478D411yescharacteristic
363#477—21no—
364#477—21no—
365#477—21no—
366#477—21no—
367#477—21no—
368#476—21no—
369#476—21no—
370#475—21no—
371#475C2311yescharacteristic
372#475C2311yescharacteristic
373#475C2311yescharacteristic
374#475C2311yescharacteristic
375#475C2311yescharacteristic
376#475C2311yescharacteristic
377#474—41no—
378#474C2311yescharacteristic
379#474C2311yescharacteristic
380#474C2311yescharacteristic
381#474C2311yescharacteristic
382#474C2311yescharacteristic
383#474C2311yescharacteristic
384#470—21no—
385#470—21no—
386#470—21no—
387#469—21no—
388#468—21no—
389#468—21no—
390#468—21no—
391#468—21no—
392#468—21no—
393#468—21no—
394#467—21no—
395#467—21no—
396#467—21no—
397#466—21no—
398#466—21no—
399#465—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#464—21no—
415#464—21no—
416#463—21no—
417#463—21no—
418#463—21no—
419#463—21no—
420#463—21no—
421#463—21no—
422#463—21no—
423#463—21no—
424#463—21no—
425#463—21no—
426#463—21no—
427#463D411yescharacteristic
428#463D411yescharacteristic
429#462—21no—
430#462—21no—
431#462—21no—
432#462—21no—
433#462C2311yescharacteristic
434#462C2311yescharacteristic
435#462C2311yescharacteristic
436#462C2311yescharacteristic
437#462C2311yescharacteristic
438#461—21no—
439#461—21no—
440#461C2311yescharacteristic
441#461C2311yescharacteristic
442#461C2311yescharacteristic
443#461C2311yescharacteristic
444#461C2311yescharacteristic
445#461C2311yescharacteristic
446#461C2311yescharacteristic
447#460—21no—
448#460C2311yescharacteristic
449#460C2311yescharacteristic
450#460C2311yescharacteristic
451#460C2311yescharacteristic
452#460C2311yescharacteristic
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#451—21no—
463#451—21no—
464#451—21no—
465#451—21no—
466#451—21no—
467#451—21no—
468#450—21no—
469#450—21no—
470#450—21no—
471#450—21no—
472#450—21no—
473#450—21no—
474#450D411yescharacteristic
475#449—21no—
476#449—21no—
477#448—21no—
478#448—21no—
479#448—21no—
480#448—21no—
481#448—21no—
482#447—21no—
483#447—21no—
484#447—21no—
485#447D411yescharacteristic
486#446—21no—
487#446—21no—
488#446C2311yescharacteristic
489#446C2311yescharacteristic
490#446C2311yescharacteristic
491#446C2311yescharacteristic
492#446C2311yescharacteristic
493C8×Q8C2311yescharacteristic
494C8×Q8C2311yescharacteristic
495C8×Q8C2311yescharacteristic
496#442—21no—
497#442—21no—
498#441—21no—
499#441—21no—
500#441D411yescharacteristic
501#441D411yescharacteristic
502#440—21no—
503#440—21no—
504#440—21no—
505#440—21no—
506#440—21no—
507#440—21no—
508#440—21no—
509#440—21no—
510#440—21no—
511#440—21no—
512#440D411yescharacteristic
513#440D411yescharacteristic
514C4×Q16—21no—
515C4×Q16—21no—
516C4×Q16—21no—
517C4×Q16—21no—
518C4×Q16—21no—
519C4×Q16C2311yescharacteristic
520C4×Q16C2311yescharacteristic
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16—21no—
526C4×SD16C2311yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×SD16C2311yescharacteristic
529C4×SD16C2311yescharacteristic
530C4×D8C2311yescharacteristic
531C4×D8C2311yescharacteristic
532#436—21no—
533#436C2311yescharacteristic
534#436C2311yescharacteristic
535#436C2311yescharacteristic
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
546#433—21no—
547#432—21no—
548#432—21no—
549#432C2311yescharacteristic
550#431—21no—
551#431C2311yescharacteristic
552#431C2311yescharacteristic
553#431C2311yescharacteristic
554#428—21no—
555#428D411yescharacteristic
556#427—21no—
557#423C2311yescharacteristic
558#423C2311yescharacteristic
559C2×C4⋊C8—21no—
560#419—21no—
561#419—21no—
562#419—21no—
563#419D411yescharacteristic
564#418—21no—
565#418—21no—
566#418—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—
577C2×#103—21no—
578C2×#102—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—41no—
631C2×#41—41no—
632C2×#41—44no—
633C2×#41—82no—
634C2×#41C2×D411yescharacteristic
635C22×Q8—21no—
636C22×Q8—21no—
637C22×Q8—21no—
638C22×Q8—21no—
639C22×Q8C2×D411yescharacteristic
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—41no—
645C22×D4C2×D411yescharacteristic
646C23×C4—21no—
647C23×C4—41no—
648#137—42no—
649#137—82no—
650AGL(1,ℤ/8)—82no—
651C2×Q16—21no—
652C2×Q16—21no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16—21no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16C2×D411yescharacteristic
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—44no—
679C2×SD16—82no—
680C2×SD16C2×D411yescharacteristic
681C2×SD16C2×D411yescharacteristic
682C2×SD16C2×D411yescharacteristic
683C2×SD16C2×D411yescharacteristic
684C2×D8—21no—
685C2×D8—21no—
686C2×D8—21no—
687C2×D8—21no—
688C2×D8—21no—
689C2×D8—82no—
690C2×D8C2×D411yescharacteristic
691C2×D8C2×D411yescharacteristic
692C2×M16—21no—
693C2×M16—21no—
694C2×M16—21no—
695C2×M16—21no—
696C2×M16—21no—
697C2×M16—82no—
698C2×M16C2×D411yescharacteristic
699C2×M16C2×D411yescharacteristic
700C22×C8—21no—
701C22×C8—21no—
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#127C2411yescharacteristic
722#127C2411yescharacteristic
723#126—21no—
724#126—41no—
725#126—41no—
726#126—41no—
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#125—21no—
739#125—21no—
740#125—21no—
741#125—41no—
742#125—41no—
743#125—41no—
744#125—41no—
745#125—41no—
746#125C2×D411yescharacteristic
747#124—21no—
748#124—21no—
749#124—21no—
750#124—21no—
751#124—21no—
752#124—21no—
753#124—21no—
754#124—21no—
755#124—21no—
756#124—21no—
757#124—41no—
758#124—41no—
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—
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—21no—
783C22⋊Q8—21no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8C2×D411yescharacteristic
794#121—21no—
795#121—21no—
796#121—21no—
797#121—21no—
798#121—21no—
799#121—21no—
800#121—21no—
801#121—21no—
802#121—21no—
803#121—21no—
804#121—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#121—41no—
809#121C2×D411yescharacteristic
810#120—41no—
811#120—41no—
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—41no—
830C4×Q8—41no—
831C4×Q8—41no—
832C4×Q8—41no—
833C4×Q8C2×D411yescharacteristic
834C4×Q8C2×D411yescharacteristic
835C4×Q8C2×D411yescharacteristic
836C4×Q8C2411yescharacteristic
837C4×Q8C2411yescharacteristic
838C4×Q8C2411yescharacteristic
839C4×Q8C2411yescharacteristic
840C4×D4—21no—
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×D4C2×D411yescharacteristic
862C4×D4C2×D411yescharacteristic
863C4×D4C2×D411yescharacteristic
864C4×D4C2411yescharacteristic
865C4×D4C2411yescharacteristic
866C4×D4C2411yescharacteristic
867C4×D4C2411yescharacteristic
868#117—21no—
869#117—21no—
870#117—21no—
871#117—21no—
872#117—21no—
873#117—21no—
874#117—21no—
875#117—21no—
876#117—21no—
877#117—41no—
878#117—41no—
879#117—41no—
880#117—41no—
881#117—41no—
882#117—41no—
883#117C2×D411yescharacteristic
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—41no—
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C4⋊C4C2×D411yescharacteristic
891C2×C22⋊C4—21no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
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#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—21no—
1053C24—41no—
1054C24—41no—
1055#41—22no—
1056#41—41no—
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—84no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—41no—
1075C2×Q8—41no—
1076C2×Q8—41no—
1077C2×Q8—41no—
1078C2×Q8—41no—
1079C2×Q8—41no—
1080C2×Q8—42no—
1081C2×Q8—42no—
1082C2×Q8—81no—
1083C2×Q8—81no—
1084C2×Q8—81no—
1085C2×Q8—81no—
1086C2×Q8—81no—
1087C2×Q8—81no—
1088C2×Q8C22×D411yescharacteristic
1089C2×Q8C22×D411yescharacteristic
1090C2×Q8C22×D411yescharacteristic
1091C2×Q8C22×D411yescharacteristic
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—84no—
1121C2×D4C22×D411yescharacteristic
1122C2×D4C22×D411yescharacteristic
1123C2×D4C22×D411yescharacteristic
1124C2×D4C22×D411yescharacteristic
1125C22×C4—21no—
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—41no—
1137C22×C4—41no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—84no—
1148C22×C4C22×D411yescharacteristic
1149C22×C4C22×D411yescharacteristic
1150C22×C4H(5,𝔽2)11yescharacteristic
1151Q16—41no—
1152Q16—41no—
1153Q16—81no—
1154Q16—81no—
1155Q16—81no—
1156Q16—81no—
1157Q16—81no—
1158Q16—81no—
1159Q16—81no—
1160Q16—81no—
1161Q16—81no—
1162SD16—22no—
1163SD16—22no—
1164SD16—41no—
1165SD16—41no—
1166SD16—42no—
1167SD16—42no—
1168SD16—42no—
1169SD16—42no—
1170SD16—81no—
1171SD16—81no—
1172SD16—81no—
1173SD16—81no—
1174SD16—81no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178SD16—81no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182D8—41no—
1183D8—41no—
1184D8—42no—
1185D8—81no—
1186D8—81no—
1187D8—81no—
1188D8—81no—
1189M16—41no—
1190M16—41no—
1191M16—42no—
1192M16—81no—
1193M16—81no—
1194M16—81no—
1195M16—81no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—42no—
1207C2×C8—81no—
1208C2×C8—81no—
1209C2×C8—81no—
1210C2×C8—81no—
1211C2×C8C22×D411yescharacteristic
1212C2×C8C22×D411yescharacteristic
1213C2×C8C22×D411yescharacteristic
1214C2×C8C22×D411yescharacteristic
1215C2×C8C22×D411yescharacteristic
1216C2×C8C22×D411yescharacteristic
1217C2×C8C22×D411yescharacteristic
1218C2×C8C22×D411yescharacteristic
1219C4⋊C4—21no—
1220C4⋊C4—21no—
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—41no—
1244C4⋊C4—41no—
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⋊C4C22×D411yescharacteristic
1264C4⋊C4C22×D411yescharacteristic
1265C4⋊C4C22×D411yescharacteristic
1266C4⋊C4C22×D411yescharacteristic
1267C4⋊C4C22×D411yescharacteristic
1268C4⋊C4C22×D411yescharacteristic
1269C4⋊C4C22×D411yescharacteristic
1270C4⋊C4C22×D411yescharacteristic
1271C22⋊C4—21no—
1272C22⋊C4—21no—
1273C22⋊C4—21no—
1274C22⋊C4—21no—
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—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
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—82no—
1343C23—161no—
1344C23—161no—
1345C23—161no—
1346C23D4211yescharacteristic
1347Q8—21no—
1348Q8—21no—
1349Q8—21no—
1350Q8—21no—
1351Q8—21no—
1352Q8—21no—
1353Q8—21no—
1354Q8—21no—
1355Q8—41no—
1356Q8—41no—
1357Q8—41no—
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361Q8—41no—
1362Q8—41no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—81no—
1368Q8—82no—
1369Q8—82no—
1370Q8—82no—
1371Q8—161no—
1372D4—21no—
1373D4—21no—
1374D4—21no—
1375D4—21no—
1376D4—21no—
1377D4—21no—
1378D4—21no—
1379D4—42no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—81no—
1389D4—81no—
1390D4—81no—
1391D4—81no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—161no—
1399D4—161no—
1400D4—161no—
1401D4#57512yes—
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—21no—
1418C2×C4—41no—
1419C2×C4—42no—
1420C2×C4—42no—
1421C2×C4—42no—
1422C2×C4—42no—
1423C2×C4—42no—
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—41no—
1438C2×C4—81no—
1439C2×C4—82no—
1440C2×C4—81no—
1441C2×C4—82no—
1442C2×C4—82no—
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—22no—
1475C22—21no—
1476C22—21no—
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—
1496C22—322no—
1497C22C2×D4211yescharacteristic
1498C4—21no—
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—41no—
1514C4—81no—
1515C4—81no—
1516C4—81no—
1517C4—81no—
1518C4—81no—
1519C4—81no—
1520C4C2×#57511yescharacteristic
1521C4#358411yescharacteristic
1522C4#358511yescharacteristic
1523C4#358511yescharacteristic
1524C2—41no—
1525C2—42no—
1526C2—81no—
1527C2—81no—
1528C2—81no—
1529C2—161no—
1530C2—161no—
1531C2#6106611yescharacteristic
1532C2#6107711yescharacteristic
1533C2#6110811yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
prime radical#61989C2
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. #61540C2semidirect
4. #61165C2semidirect
5. #20306C2semidirect
6. #20278C2semidirect
7. #20271C2semidirect
8. #20269C2semidirect
9. #20176C2semidirect
10. #20142C2semidirect
11. #20135C2semidirect
12. #20054C2semidirect
13. #20043C2semidirect
14. #19998C2semidirect
15. #19963C2semidirect
16. #19900C2semidirect
17. #19870C2semidirect
18. #19821C2semidirect
19. #19787C2semidirect
20. #19777C2semidirect
21. #19730C2semidirect
22. #19485C2semidirect
23. #19473C2semidirect
24. #19383C2semidirect
25. #19304C2semidirect
26. #18843C2semidirect
27. #18824C2semidirect
28. #18806C2semidirect
29. #18780C2semidirect
30. #18051C2semidirect
31. #18008C2semidirect
32. #3523C22semidirect
34. C2×#556C22semidirect
38. #3400C22semidirect
40. #3398C22semidirect
41. #3398C22semidirect
44. #3393C22semidirect
45. #3386C22semidirect
51. #3367C22semidirect
52. #3365C22semidirect
53. #3364C22semidirect
54. #3364C22semidirect
55. #3359C22semidirect
57. #3342C22semidirect
59. #3328C22semidirect
60. #3328C22semidirect
61. #3328C22semidirect
64. #3324C22semidirect
72. #3304C22semidirect
73. #3304C22semidirect
79. D4×SD16C22semidirect
86. #3228C22semidirect
87. #3226C22semidirect
88. #3218C22semidirect
92. #3209C22semidirect
94. #3182C22semidirect
96. #3141C22semidirect
101. #3110C22semidirect
105. #3103C22semidirect
109. #3037C22semidirect
114. #2984C22semidirect
115. #2969C22semidirect
118. D4×M16C22semidirect
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
134. #1700C22semidirect
135. #1700C22semidirect
136. #1699C22semidirect
137. #1699C22semidirect
138. #1693C22semidirect
139. #1690C22semidirect
140. #1690C22semidirect
141. #1688C22semidirect
142. #1686C22semidirect
144. #1682C22semidirect
145. #1682C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1680C22semidirect
149. #1680C22semidirect
150. #1679C22semidirect
151. #1679C22semidirect
152. #1679C22semidirect
153. #1679C22semidirect
154. #1673C22semidirect
155. #1669C22semidirect
156. #1669C22semidirect
157. #1668C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
161. #1653C22semidirect
162. #1652C22semidirect
163. #1651C22semidirect
164. #1650C22semidirect
165. #1650C22semidirect
166. #1650C22semidirect
167. #1650C22semidirect
168. #1650C22semidirect
169. #1650C22semidirect
170. #1649C22semidirect
171. #1649C22semidirect
172. #1649C22semidirect
173. #1649C22semidirect
174. #1648C22semidirect
176. #1642C22semidirect
177. #1641C22semidirect
178. #1640C22semidirect
179. #1640C22semidirect
182. #1639C22semidirect
183. #1639C22semidirect
186. #1628C22semidirect
187. #1628C22semidirect
188. #1628C22semidirect
189. #1627C22semidirect
190. #1626C22semidirect
191. #1626C22semidirect
192. #1593C22semidirect
193. #1592C22semidirect
194. #1591C22semidirect
196. #1587C22semidirect
198. #1585C22semidirect
199. #1585C22semidirect
200. #1584C22semidirect
201. #1583C22semidirect
202. #1582C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×SD16C22semidirect
208. #1574C22semidirect
209. #1569C22semidirect
210. #1561C22semidirect
211. #1557C22semidirect
212. #1553C22semidirect
213. #1546C22semidirect
214. #1495C22semidirect
216. #1487C22semidirect
217. #1478C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#619892
#619052
#615402
#611652
#203062
#202782
#202712
#202692
#201762
#201422
#201352
#200542
#200432
#199982
#199632
#199002
#198702
#198212
#197872
#197772
#197302
#194852
#194732
#193832
#193042
#188432
#188242
#188062
#187802
#180512
#180082