Finite Group Databasebeta

← #6369298

Subgroups — #6369298

Order 512.

1629 conjugacy classes of subgroups.

The subgroup lattice has 1550 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61983C211yesmaximal, characteristic, complemented
2#61902C211yesmaximal, characteristic, complemented
3#61460C211yesmaximal, characteristic, complemented
4#61206C211yesmaximal, characteristic, complemented
5#20300C211yesmaximal, characteristic, complemented
6#20276C211yesmaximal, characteristic, complemented
7#20274C211yesmaximal, characteristic, complemented
8#20264C211yesmaximal, characteristic, complemented
9#20176C211yesmaximal, characteristic, complemented
10#20141C211yesmaximal, characteristic, complemented
11#20136C211yesmaximal, characteristic, complemented
12#20057C211yesmaximal, characteristic, complemented
13#20039C211yesmaximal, characteristic, complemented
14#19988C211yesmaximal, characteristic, complemented
15#19961C211yesmaximal, characteristic, complemented
16#19912C211yesmaximal, characteristic, complemented
17#19870C211yesmaximal, characteristic, complemented
18#19789C211yesmaximal, characteristic, complemented
19#19788C211yesmaximal, characteristic, complemented
20#19777C211yesmaximal, characteristic, complemented
21#19715C211yesmaximal, characteristic, complemented
22#19481C211yesmaximal, characteristic, complemented
23#19468C211yesmaximal, characteristic, complemented
24#19368C211yesmaximal, characteristic, complemented
25#19316C211yesmaximal, characteristic, complemented
26#18849C211yesmaximal, characteristic, complemented
27#18814C211yesmaximal, characteristic, complemented
28#18790C211yesmaximal, characteristic, complemented
29#18785C211yesmaximal, characteristic, complemented
30#18051C211yesmaximal, characteristic, complemented
31#18007C211yesmaximal, characteristic, complemented
32#3507C2211yescharacteristic
33#3498C2211yescharacteristic
34#3482C2211yescharacteristic
35#3480C2211yescharacteristic, complemented
36#3403—21no—
37#3401—21no—
38#3400C2211yescharacteristic, complemented
39#3398C2211yescharacteristic, complemented
40#3397C2211yescharacteristic
41#3397C2211yescharacteristic
42#3397C2211yescharacteristic, complemented
43#3394C2211yescharacteristic, complemented
44#3393C2211yescharacteristic, complemented
45#3386C2211yescharacteristic, complemented
46#3377—21no—
47#3374C2211yescharacteristic, complemented
48#3373C2211yescharacteristic, complemented
49#3372C2211yescharacteristic, complemented
50#3371—21no—
51#3368C2211yescharacteristic
52#3368C2211yescharacteristic
53#3366C2211yescharacteristic, complemented
54#3361C2211yescharacteristic, complemented
55#3360C2211yescharacteristic, complemented
56#3350—21no—
57#3342C2211yescharacteristic, complemented
58#3333C2211yescharacteristic
59#3333C2211yescharacteristic
60#3324C2211yescharacteristic
61#3324C2211yescharacteristic
62#3317—21no—
63#3317—21no—
64#3313—21no—
65#3310—21no—
66#3310—21no—
67#3310—21no—
68#3310—21no—
69#3307—21no—
70#3304C2211yescharacteristic
71#3304C2211yescharacteristic
72#3304C2211yescharacteristic, complemented
73#3302C2211yescharacteristic, complemented
74#3295C2211yescharacteristic
75#3295C2211yescharacteristic
76#3294C2211yescharacteristic
77#3294C2211yescharacteristic
78#3284C2211yescharacteristic, complemented
79D4×SD16C2211yescharacteristic
80D4×SD16C2211yescharacteristic
81#3269—21no—
82#3265—21no—
83#3265—21no—
84#3254C2211yescharacteristic
85#3247—21no—
86#3231C2211yescharacteristic, complemented
87#3219—21no—
88#3217—21no—
89#3214C2211yescharacteristic
90#3212—21no—
91#3210C2211yescharacteristic, complemented
92#3208C2211yescharacteristic
93#3205C2211yescharacteristic
94#3182C2211yescharacteristic, complemented
95#3181—21no—
96#3138C2211yescharacteristic
97#3116—21no—
98#3116C2211yescharacteristic, complemented
99#3115C2211yescharacteristic
100#3113C2211yescharacteristic, complemented
101#3112—21no—
102#3111—21no—
103#3111—21no—
104#3106C2211yescharacteristic
105#3102—21no—
106#3096—21no—
107#3076C2211yescharacteristic
108#3057—21no—
109#3038C2211yescharacteristic
110C2×#460—21no—
111C2×#460C2211yescharacteristic
112#3009—21no—
113#2990C2211yescharacteristic
114#2984C2211yescharacteristic, complemented
115#2970C2211yescharacteristic, complemented
116C4×#137C2211yescharacteristic
117#2943—21no—
118#2935C2211yescharacteristic
119#2897—21no—
120#1722C2211yescharacteristic, complemented
121#1720C2211yescharacteristic, complemented
122#1719C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1717C2211yescharacteristic, complemented
125#1715C2211yescharacteristic, complemented
126#1711C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1702C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1699C2211yescharacteristic, complemented
135#1698C2211yescharacteristic, complemented
136#1698C2211yescharacteristic, complemented
137#1698C2211yescharacteristic, complemented
138#1693C2211yescharacteristic, complemented
139#1690C2211yescharacteristic, complemented
140#1686C2211yescharacteristic, complemented
141#1686C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1682C2211yescharacteristic, complemented
146#1682C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1681C2211yescharacteristic, complemented
149#1681C2211yescharacteristic, complemented
150#1679C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1677C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1673C2211yescharacteristic, complemented
155#1669C2211yescharacteristic, complemented
156#1666C2211yescharacteristic, complemented
157#1666C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1653C2211yescharacteristic, complemented
162#1652C2211yescharacteristic, complemented
163#1652C2211yescharacteristic, complemented
164#1650C2211yescharacteristic, complemented
165#1650C2211yescharacteristic, complemented
166#1650C2211yescharacteristic, complemented
167#1649C2211yescharacteristic, complemented
168#1644C2211yescharacteristic, complemented
169#1644C2211yescharacteristic, complemented
170#1643C2211yescharacteristic, complemented
171#1643C2211yescharacteristic, complemented
172#1642C2211yescharacteristic
173#1642C2211yescharacteristic
174#1639C2211yescharacteristic
175#1639C2211yescharacteristic
176#1638C2211yescharacteristic, complemented
177#1637C2211yescharacteristic, complemented
178#1636C2211yescharacteristic, complemented
179#1635C2211yescharacteristic, complemented
180#1628C2211yescharacteristic, complemented
181#1628C2211yescharacteristic, complemented
182#1626C2211yescharacteristic, complemented
183#1626C2211yescharacteristic, complemented
184#1621C2211yescharacteristic
185#1621C2211yescharacteristic
186#1621C2211yescharacteristic, complemented
187#1621C2211yescharacteristic, complemented
188#1620C2211yescharacteristic, complemented
189#1620C2211yescharacteristic, complemented
190#1619C2211yescharacteristic
191#1619C2211yescharacteristic
192#1593C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1591C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1587C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1585C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1584C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1582C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1559C2211yescharacteristic, complemented
211#1555C2211yescharacteristic
212#1552C2211yescharacteristic, complemented
213#1547C2211yescharacteristic, complemented
214#1496C2211yescharacteristic
215#1488C2211yescharacteristic
216#1487C2211yescharacteristic, complemented
217#1477C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C2×#137D411yescharacteristic
221C2×AGL(1,ℤ/8)—21no—
222C2×#135—21no—
223C22×SD16—21no—
224C22×SD16—21no—
225C22×SD16—21no—
226C2×#131—21no—
227#559—21no—
228#559—21no—
229#559C2311yescharacteristic
230#557—21no—
231#557C2311yescharacteristic
232#557C2311yescharacteristic
233#556—21no—
234#556—21no—
235#556—41no—
236#556C2311yescharacteristic
237#556C2311yescharacteristic
238#556C2311yescharacteristic
239#556C2311yescharacteristic
240#554C2311yescharacteristic
241#554C2311yescharacteristic
242#553—21no—
243#553—41no—
244#552—21no—
245#552—21no—
246#552—21no—
247#552—41no—
248#550—21no—
249#550C2311yescharacteristic
250#550C2311yescharacteristic
251#550C2311yescharacteristic
252D4×Q8C2311yescharacteristic
253#548—21no—
254#548—21no—
255#547—21no—
256#547C2311yescharacteristic
257D42—21no—
258D42—21no—
259D42—21no—
260D42—41no—
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263#539—41no—
264#536—21no—
265#535—21no—
266#535—41no—
267#533—21no—
268#533C2311yescharacteristic
269#533C2311yescharacteristic
270#532—21no—
271#532—21no—
272#532C2311yescharacteristic
273#532C2311yescharacteristic
274C2×#127—21no—
275C2×#127C2311yescharacteristic
276#529—21no—
277#529—21no—
278#529—21no—
279#529—21no—
280#529—41no—
281#529—41no—
282#520—21no—
283C4×#41—21no—
284C4×#41—21no—
285C4×#41—21no—
286C4×#41C2311yescharacteristic
287C4×#41C2311yescharacteristic
288C2×C4×Q8—21no—
289C2×C4×Q8C2311yescharacteristic
290#501—21no—
291#500C2311yescharacteristic
292#500C2311yescharacteristic
293#498C2311yescharacteristic
294#497—21no—
295#497—21no—
296#496—21no—
297#496—21no—
298#496—21no—
299#496—21no—
300#495—21no—
301#495—21no—
302#494C2311yescharacteristic
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#492C2311yescharacteristic
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#491—21no—
310#491—21no—
311#490—21no—
312#490—21no—
313#490—21no—
314#490—21no—
315#490—21no—
316#489—21no—
317#489—21no—
318#488—21no—
319#488—21no—
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
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—41no—
339#483—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482D411yescharacteristic
347#482D411yescharacteristic
348#481—21no—
349#481—21no—
350#480—21no—
351#480—21no—
352#480—21no—
353#480—21no—
354#479—21no—
355#479—21no—
356#479—21no—
357#479—21no—
358#479—41no—
359#478—21no—
360#478—21no—
361#478—21no—
362#478—21no—
363#478—21no—
364#478—21no—
365#477—21no—
366#477—21no—
367#477D411yescharacteristic
368#477C2311yescharacteristic
369#477C2311yescharacteristic
370#476—21no—
371#476D411yescharacteristic
372#476C2311yescharacteristic
373#476C2311yescharacteristic
374#475C2311yescharacteristic
375#475C2311yescharacteristic
376#475C2311yescharacteristic
377#475C2311yescharacteristic
378#474C2311yescharacteristic
379#474C2311yescharacteristic
380#474C2311yescharacteristic
381#474C2311yescharacteristic
382#468—21no—
383#468—21no—
384#468—21no—
385#468—21no—
386#468—21no—
387#468—21no—
388#468—21no—
389#468—21no—
390#467—21no—
391#467—21no—
392#466—21no—
393#466—21no—
394#465—21no—
395#465—21no—
396#465—21no—
397#465—21no—
398#465—21no—
399#465—21no—
400#465—21no—
401#465—21no—
402#464—21no—
403#464—21no—
404#464—21no—
405#464—21no—
406#464—21no—
407#464—21no—
408#464—21no—
409#463—21no—
410#463—21no—
411#463—21no—
412#463—21no—
413#463—21no—
414#463—21no—
415#463—21no—
416#462—21no—
417#462—21no—
418#462C2311yescharacteristic
419#462C2311yescharacteristic
420#462C2311yescharacteristic
421#461—21no—
422#461—21no—
423#461C2311yescharacteristic
424#461C2311yescharacteristic
425#461C2311yescharacteristic
426#461C2311yescharacteristic
427#461C2311yescharacteristic
428#460—21no—
429#460—21no—
430#460—21no—
431#460—21no—
432#460—21no—
433#460—21no—
434#460—21no—
435#460—21no—
436#460—21no—
437#460—21no—
438#460—21no—
439#460D411yescharacteristic
440#460C2311yescharacteristic
441#460C2311yescharacteristic
442#460C2311yescharacteristic
443#460C2311yescharacteristic
444#460C2311yescharacteristic
445#460C2311yescharacteristic
446#460C2311yescharacteristic
447#459—21no—
448#459—21no—
449#459—41no—
450#459D411yescharacteristic
451#459C2311yescharacteristic
452#459C2311yescharacteristic
453#459C2311yescharacteristic
454#459C2311yescharacteristic
455#459C2311yescharacteristic
456#452—21no—
457#452—21no—
458#452—21no—
459#452—21no—
460#452—21no—
461#452—21no—
462#452—21no—
463#452—21no—
464#452—21no—
465#452—21no—
466#451—21no—
467#450—21no—
468#450—21no—
469#450—21no—
470#450—21no—
471#450—21no—
472#450—21no—
473#450—21no—
474#450—21no—
475#449—21no—
476#449—21no—
477#449—21no—
478#449—21no—
479#449D411yescharacteristic
480#449D411yescharacteristic
481#448—21no—
482#448—21no—
483#447—21no—
484#447—21no—
485#447—41no—
486#446—21no—
487#446—21no—
488#446C2311yescharacteristic
489#446C2311yescharacteristic
490#446C2311yescharacteristic
491#446C2311yescharacteristic
492#446C2311yescharacteristic
493#446C2311yescharacteristic
494C8×Q8C2311yescharacteristic
495C8×Q8C2311yescharacteristic
496#442—21no—
497#442—21no—
498#442—21no—
499#441—21no—
500#441—21no—
501#441—21no—
502#441—21no—
503#441—21no—
504#441D411yescharacteristic
505#441D411yescharacteristic
506#440—21no—
507#440—21no—
508#440—21no—
509#440—21no—
510#440—21no—
511#440—21no—
512#440—21no—
513#440—21no—
514#440—21no—
515#440—21no—
516#440—21no—
517#440—21no—
518#440D411yescharacteristic
519#440D411yescharacteristic
520C4×Q16—21no—
521C4×Q16C2311yescharacteristic
522C4×Q16C2311yescharacteristic
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16C2311yescharacteristic
526C4×SD16C2311yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×SD16C2311yescharacteristic
529C4×D8—21no—
530C4×D8C2311yescharacteristic
531C4×D8C2311yescharacteristic
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#435—21no—
535#435—21no—
536#435—21no—
537#435—21no—
538#435—21no—
539#435—21no—
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic
542C8×D4C2311yescharacteristic
543C8×D4C2311yescharacteristic
544C8×D4C2311yescharacteristic
545C8×D4C2311yescharacteristic
546#432—21no—
547#432—21no—
548#432—21no—
549#432C2311yescharacteristic
550#432C2311yescharacteristic
551#431—21no—
552#431C2311yescharacteristic
553#431C2311yescharacteristic
554#428D411yescharacteristic
555#427—21no—
556#427—21no—
557#423C2311yescharacteristic
558C2×C4⋊C8—21no—
559C2×C4⋊C8C2311yescharacteristic
560#419D411yescharacteristic
561#418—21no—
562#418—21no—
563#418—21no—
564#418—21no—
565#418—21no—
566#417—21no—
567#417—21no—
568#417D411yescharacteristic
569#416—21no—
570#416—21no—
571#416—21no—
572#416—21no—
573#416—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577C2×#102—21no—
578C2×#102—21no—
579#408—21no—
580C4×M16C2311yescharacteristic
581C2×#97—21no—
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
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
626H(5,𝔽2)—44no—
627H(5,𝔽2)—82no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—41no—
635C2×#41C2×D411yescharacteristic
636C2×#41C2×D411yescharacteristic
637C22×Q8—21no—
638C22×Q8C2×D411yescharacteristic
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4—41no—
649C22×D4—41no—
650#137—42no—
651AGL(1,ℤ/8)—82no—
652#135—44no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16—21no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16C2×D411yescharacteristic
659C2×Q16C2×D411yescharacteristic
660C2×SD16—21no—
661C2×SD16—21no—
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×SD16—82no—
683C2×SD16C2×D411yescharacteristic
684C2×SD16C2×D411yescharacteristic
685C2×SD16C2×D411yescharacteristic
686C2×SD16C2×D411yescharacteristic
687C2×D8—21no—
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—41no—
693C2×D8—41no—
694C2×D8C2×D411yescharacteristic
695C2×D8C2×D411yescharacteristic
696#131—82no—
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—41no—
713C4⋊Q8C2×D411yescharacteristic
714C4⋊Q8C2411yescharacteristic
715C4⋊Q8C2411yescharacteristic
716C4⋊Q8C2411yescharacteristic
717C4⋊Q8C2411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719#127—21no—
720#127—21no—
721#127—21no—
722#127—21no—
723#127—21no—
724#127—21no—
725#127—41no—
726#127—41no—
727#127C2×D411yescharacteristic
728#127C2411yescharacteristic
729#127C2411yescharacteristic
730#127C2411yescharacteristic
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#126—41no—
741#125—21no—
742#125—21no—
743#125—21no—
744#125—21no—
745#125—21no—
746#125—21no—
747#125—41no—
748#125—41no—
749#125—41no—
750#125—41no—
751#125—41no—
752#124—21no—
753#124—21no—
754#124—21no—
755#124—21no—
756#124—21no—
757#124—21no—
758#124—21no—
759#124—21no—
760#124—41no—
761#124—41no—
762#124—41no—
763#124—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773#123—41no—
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—21no—
785C22⋊Q8—21no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
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—21no—
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#121C2×D411yescharacteristic
813#120—41no—
814#120—41no—
815#120—41no—
816#120—41no—
817#120—41no—
818#120—41no—
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—21no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8—41no—
834C4×Q8—41no—
835C4×Q8—41no—
836C4×Q8C2×D411yescharacteristic
837C4×Q8C2×D411yescharacteristic
838C4×Q8C2×D411yescharacteristic
839C4×Q8C2×D411yescharacteristic
840C4×Q8C2411yescharacteristic
841C4×Q8C2411yescharacteristic
842C4×Q8C2411yescharacteristic
843C4×Q8C2411yescharacteristic
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—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4—41no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4—41no—
866C4×D4—41no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4C2×D411yescharacteristic
871C4×D4C2×D411yescharacteristic
872C4×D4C2411yescharacteristic
873C4×D4C2411yescharacteristic
874C4×D4C2411yescharacteristic
875C4×D4C2411yescharacteristic
876#117—21no—
877#117—21no—
878#117—21no—
879#117—21no—
880#117—21no—
881#117—21no—
882#117—21no—
883#117—21no—
884#117—41no—
885#117—41no—
886#117—41no—
887#117—41no—
888#117—41no—
889#117—41no—
890#117C2×D411yescharacteristic
891#117C2×D411yescharacteristic
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—41no—
897C2×C4⋊C4C2×D411yescharacteristic
898C2×C42—21no—
899C2×C42—21no—
900C2×C42—21no—
901C2×C42—41no—
902C2×C42—41no—
903C2×C42C2411yescharacteristic
904#107—21no—
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
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—41no—
968#103—41no—
969#103C2×D411yescharacteristic
970#103C2×D411yescharacteristic
971#103C2×D411yescharacteristic
972#103C2×D411yescharacteristic
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#102—21no—
978#102—21no—
979#102—21no—
980#102—21no—
981#102—21no—
982#102—21no—
983#102—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—41no—
1012#102—41no—
1013#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#97—21no—
1041#97—21no—
1042#97C2×D411yescharacteristic
1043#97C2×D411yescharacteristic
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C24—41no—
1053C24—41no—
1054C24—41no—
1055#41—22no—
1056#41—41no—
1057#41—42no—
1058#41—42no—
1059#41—41no—
1060#41—41no—
1061#41—42no—
1062#41—42no—
1063#41—42no—
1064#41—42no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—84no—
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—42no—
1083C2×Q8—81no—
1084C2×Q8C22×D411yescharacteristic
1085C2×Q8C22×D411yescharacteristic
1086C2×Q8C22×D411yescharacteristic
1087C2×Q8C22×D411yescharacteristic
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
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—21no—
1102C2×D4—21no—
1103C2×D4—42no—
1104C2×D4—42no—
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—41no—
1114C2×D4—41no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—84no—
1131C2×D4—84no—
1132C2×D4—84no—
1133C2×D4—161no—
1134C2×D4—162no—
1135C2×D4C22×D411yescharacteristic
1136C2×D4C22×D411yescharacteristic
1137C2×D4C22×D411yescharacteristic
1138C2×D4C22×D411yescharacteristic
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
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×C4C22×D411yescharacteristic
1159C22×C4C22×D411yescharacteristic
1160C22×C4H(5,𝔽2)11yescharacteristic
1161Q16—41no—
1162Q16—41no—
1163Q16—42no—
1164Q16—81no—
1165Q16—81no—
1166Q16—81no—
1167Q16—81no—
1168SD16—22no—
1169SD16—22no—
1170SD16—41no—
1171SD16—41no—
1172SD16—42no—
1173SD16—42no—
1174SD16—42no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178SD16—81no—
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—
1192D8—41no—
1193D8—41no—
1194D8—42no—
1195D8—81no—
1196D8—81no—
1197D8—81no—
1198D8—81no—
1199D8—161no—
1200D8—161no—
1201M16—41no—
1202M16—41no—
1203M16—81no—
1204M16—81no—
1205M16—81no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—42no—
1217C2×C8—42no—
1218C2×C8—81no—
1219C2×C8—81no—
1220C2×C8—81no—
1221C2×C8—81no—
1222C2×C8—81no—
1223C2×C8C22×D411yescharacteristic
1224C2×C8C22×D411yescharacteristic
1225C2×C8C22×D411yescharacteristic
1226C2×C8C22×D411yescharacteristic
1227C2×C8C22×D411yescharacteristic
1228C2×C8C22×D411yescharacteristic
1229C2×C8C22×D411yescharacteristic
1230C2×C8C22×D411yescharacteristic
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—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
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⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4C22×D411yescharacteristic
1272C4⋊C4C22×D411yescharacteristic
1273C4⋊C4C22×D411yescharacteristic
1274C4⋊C4C22×D411yescharacteristic
1275C4⋊C4C22×D411yescharacteristic
1276C4⋊C4C22×D411yescharacteristic
1277C4⋊C4C22×D411yescharacteristic
1278C4⋊C4C22×D411yescharacteristic
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—21no—
1288C22⋊C4—21no—
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—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C42—21no—
1314C42—21no—
1315C42—21no—
1316C42—21no—
1317C42—21no—
1318C42—21no—
1319C42—21no—
1320C42—21no—
1321C42—21no—
1322C42—21no—
1323C42—41no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42—41no—
1330C42—41no—
1331C42C22×D411yescharacteristic
1332C42C22×D411yescharacteristic
1333C42H(5,𝔽2)11yescharacteristic
1334C42C2511yescharacteristic
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—82no—
1343C23—82no—
1344C23—82no—
1345C23—161no—
1346C23—161no—
1347C23—161no—
1348C23—161no—
1349C23—161no—
1350C23—161no—
1351C23D4211yescharacteristic
1352Q8—21no—
1353Q8—21no—
1354Q8—21no—
1355Q8—21no—
1356Q8—21no—
1357Q8—21no—
1358Q8—21no—
1359Q8—21no—
1360Q8—42no—
1361Q8—41no—
1362Q8—41no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—81no—
1370Q8—81no—
1371Q8—82no—
1372D4—21no—
1373D4—21no—
1374D4—21no—
1375D4—21no—
1376D4—21no—
1377D4—21no—
1378D4—21no—
1379D4—42no—
1380D4—42no—
1381D4—42no—
1382D4—42no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
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—82no—
1400D4—82no—
1401D4—81no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—161no—
1410D4—161no—
1411D4—161no—
1412D4—161no—
1413D4—161no—
1414D4—161no—
1415D4#57512yes—
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—21no—
1432C2×C4—41no—
1433C2×C4—42no—
1434C2×C4—42no—
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—81no—
1449C2×C4—81no—
1450C2×C4—82no—
1451C2×C4—81no—
1452C2×C4—81no—
1453C2×C4—82no—
1454C2×C4—82no—
1455C2×C4—82no—
1456C2×C4—82no—
1457C2×C4—82no—
1458C2×C4—161no—
1459C2×C4—161no—
1460C2×C4—161no—
1461C2×C4D4211yescharacteristic
1462C2×C4D4211yescharacteristic
1463C2×C4D4211yescharacteristic
1464C2×C4C23×D411yescharacteristic
1465C2×C4C23×D411yescharacteristic
1466C2×C4C2×H(5,𝔽2)11yescharacteristic
1467C8—21no—
1468C8—21no—
1469C8—21no—
1470C8—21no—
1471C8—21no—
1472C8—21no—
1473C8—21no—
1474C8—21no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C22—21no—
1486C22—22no—
1487C22—21no—
1488C22—21no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—81no—
1507C22—81no—
1508C22—81no—
1509C22—322no—
1510C22—322no—
1511C22—322no—
1512C22C2×D4211yescharacteristic
1513C4—21no—
1514C4—21no—
1515C4—21no—
1516C4—21no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C4—81no—
1533C4—81no—
1534C4C2×#57511yescharacteristic
1535C4#358411yescharacteristic
1536C4#358511yescharacteristic
1537C4#358511yescharacteristic
1538C2—41no—
1539C2—42no—
1540C2—81no—
1541C2—81no—
1542C2—81no—
1543C2—161no—
1544C2—161no—
1545C2—161no—
1546C2#6106611yescharacteristic
1547C2#6107711yescharacteristic
1548C2#6110711yescharacteristic
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. #61983C2semidirect
2. #61902C2semidirect
3. #61460C2semidirect
4. #61206C2semidirect
5. #20300C2semidirect
6. #20276C2semidirect
7. #20274C2semidirect
8. #20264C2semidirect
9. #20176C2semidirect
10. #20141C2semidirect
11. #20136C2semidirect
12. #20057C2semidirect
13. #20039C2semidirect
14. #19988C2semidirect
15. #19961C2semidirect
16. #19912C2semidirect
17. #19870C2semidirect
18. #19789C2semidirect
19. #19788C2semidirect
20. #19777C2semidirect
21. #19715C2semidirect
22. #19481C2semidirect
23. #19468C2semidirect
24. #19368C2semidirect
25. #19316C2semidirect
26. #18849C2semidirect
27. #18814C2semidirect
28. #18790C2semidirect
29. #18785C2semidirect
30. #18051C2semidirect
31. #18007C2semidirect
35. #3480C22semidirect
38. #3400C22semidirect
39. #3398C22semidirect
42. #3397C22semidirect
43. #3394C22semidirect
44. #3393C22semidirect
45. #3386C22semidirect
47. #3374C22semidirect
48. #3373C22semidirect
49. #3372C22semidirect
53. #3366C22semidirect
54. #3361C22semidirect
55. #3360C22semidirect
57. #3342C22semidirect
72. #3304C22semidirect
73. #3302C22semidirect
78. #3284C22semidirect
86. #3231C22semidirect
91. #3210C22semidirect
94. #3182C22semidirect
98. #3116C22semidirect
100. #3113C22semidirect
114. #2984C22semidirect
115. #2970C22semidirect
120. #1722C22semidirect
121. #1720C22semidirect
122. #1719C22semidirect
123. #1717C22semidirect
124. #1717C22semidirect
125. #1715C22semidirect
126. #1711C22semidirect
127. #1706C22semidirect
128. #1704C22semidirect
129. #1702C22semidirect
130. #1702C22semidirect
131. #1702C22semidirect
132. #1702C22semidirect
133. #1701C22semidirect
134. #1699C22semidirect
135. #1698C22semidirect
136. #1698C22semidirect
137. #1698C22semidirect
138. #1693C22semidirect
139. #1690C22semidirect
140. #1686C22semidirect
141. #1686C22semidirect
142. #1686C22semidirect
143. #1685C22semidirect
144. #1683C22semidirect
145. #1682C22semidirect
146. #1682C22semidirect
147. #1681C22semidirect
148. #1681C22semidirect
149. #1681C22semidirect
150. #1679C22semidirect
151. #1677C22semidirect
152. #1677C22semidirect
153. #1677C22semidirect
154. #1673C22semidirect
155. #1669C22semidirect
156. #1666C22semidirect
157. #1666C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1653C22semidirect
162. #1652C22semidirect
163. #1652C22semidirect
164. #1650C22semidirect
165. #1650C22semidirect
166. #1650C22semidirect
167. #1649C22semidirect
168. #1644C22semidirect
169. #1644C22semidirect
170. #1643C22semidirect
171. #1643C22semidirect
176. #1638C22semidirect
177. #1637C22semidirect
178. #1636C22semidirect
179. #1635C22semidirect
180. #1628C22semidirect
181. #1628C22semidirect
182. #1626C22semidirect
183. #1626C22semidirect
186. #1621C22semidirect
187. #1621C22semidirect
188. #1620C22semidirect
189. #1620C22semidirect
192. #1593C22semidirect
193. #1592C22semidirect
194. #1591C22semidirect
195. #1590C22semidirect
196. #1587C22semidirect
197. #1586C22semidirect
198. #1585C22semidirect
199. #1585C22semidirect
200. #1584C22semidirect
201. #1582C22semidirect
202. #1582C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1569C22semidirect
210. #1559C22semidirect
212. #1552C22semidirect
213. #1547C22semidirect
216. #1487C22semidirect
217. #1477C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#619832
#619022
#614602
#612062
#203002
#202762
#202742
#202642
#201762
#201412
#201362
#200572
#200392
#199882
#199612
#199122
#198702
#197892
#197882
#197772
#197152
#194812
#194682
#193682
#193162
#188492
#188142
#187902
#187852
#180512
#180072