Finite Group Databasebeta

← #6363323

Subgroups — #6363323

Order 512.

1552 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62394C211yesmaximal, characteristic, complemented
2#62296C211yesmaximal, characteristic, complemented
3#61498C211yesmaximal, characteristic
4#61371C211yesmaximal, characteristic, complemented
5#20324C211yesmaximal, characteristic, complemented
6#20313C211yesmaximal, characteristic, complemented
7#20299C211yesmaximal, characteristic, complemented
8#20295C211yesmaximal, characteristic, complemented
9#19930C211yesmaximal, characteristic, complemented
10#19929C211yesmaximal, characteristic, complemented
11#19893C211yesmaximal, characteristic, complemented
12#19892C211yesmaximal, characteristic, complemented
13#19877C211yesmaximal, characteristic, complemented
14#19857C211yesmaximal, characteristic, complemented
15#19829C211yesmaximal, characteristic, complemented
16#19828C211yesmaximal, characteristic, complemented
17#19809C211yesmaximal, characteristic, complemented
18#19798C211yesmaximal, characteristic, complemented
19#19790C211yesmaximal, characteristic, complemented
20#19765C211yesmaximal, characteristic, complemented
21#19646C211yesmaximal, characteristic, complemented
22#19360C211yesmaximal, characteristic, complemented
23#19349C211yesmaximal, characteristic, complemented
24#19309C211yesmaximal, characteristic, complemented
25#19305C211yesmaximal, characteristic, complemented
26#18855C211yesmaximal, characteristic, complemented
27#18839C211yesmaximal, characteristic, complemented
28#18813C211yesmaximal, characteristic, complemented
29#18811C211yesmaximal, characteristic, complemented
30M16×SD16C211yesmaximal, characteristic, complemented
31#17967C211yesmaximal, characteristic, complemented
32#3522C2211yescharacteristic
33#3519C2211yescharacteristic
34#3502C2211yescharacteristic, complemented
35#3501C2211yescharacteristic
36#3400—21no—
37#3400C2211yescharacteristic, complemented
38#3399C2211yescharacteristic
39#3392C2211yescharacteristic, complemented
40#3388—21no—
41#3388—21no—
42#3386C2211yescharacteristic
43#3386C2211yescharacteristic, complemented
44#3385—21no—
45#3385C2211yescharacteristic
46#3385C2211yescharacteristic
47#3385C2211yescharacteristic, complemented
48#3385C2211yescharacteristic, complemented
49Q8×Q16C2211yescharacteristic, complemented
50#3381—21no—
51#3381—21no—
52#3381C2211yescharacteristic
53#3381C2211yescharacteristic, complemented
54Q8×SD16C2211yescharacteristic
55Q8×SD16C2211yescharacteristic, complemented
56#3375—21no—
57#3375C2211yescharacteristic, complemented
58#3372—21no—
59#3372C2211yescharacteristic, complemented
60#3363C2211yescharacteristic, complemented
61#3362C2211yescharacteristic
62#3362C2211yescharacteristic, complemented
63#3361C2211yescharacteristic
64#3357C2211yescharacteristic
65#3357C2211yescharacteristic
66#3346—21no—
67#3345—21no—
68#3338C2211yescharacteristic
69#3333C2211yescharacteristic
70#3329C2211yescharacteristic
71#3320—21no—
72#3314—21no—
73#3305C2211yescharacteristic
74#3301—21no—
75#3299C2211yescharacteristic
76#3295C2211yescharacteristic
77#3295C2211yescharacteristic
78#3294—21no—
79D4×SD16C2211yescharacteristic
80#3278C2211yescharacteristic
81#3274C2211yescharacteristic
82#3266—21no—
83#3265—21no—
84#3254—21no—
85#3254C2211yescharacteristic
86#3254C2211yescharacteristic, complemented
87#3252—21no—
88#3252C2211yescharacteristic
89#3252C2211yescharacteristic
90#3210C2211yescharacteristic
91#3210C2211yescharacteristic, complemented
92#3196—21no—
93#3193—21no—
94#3182—21no—
95#3182C2211yescharacteristic
96#3182C2211yescharacteristic, complemented
97#3179—21no—
98#3172—21no—
99#3172C2211yescharacteristic
100#3169C2211yescharacteristic
101#3163—21no—
102#3160C2211yescharacteristic, complemented
103#3119—21no—
104#3118—21no—
105#3112C2211yescharacteristic
106#3109C2211yescharacteristic
107#3082—21no—
108#3081—21no—
109#3078C2211yescharacteristic, complemented
110#3077C2211yescharacteristic
111#3056—21no—
112C2×#468—21no—
113#2966C2211yescharacteristic
114Q8×M16C2211yescharacteristic, complemented
115#2960C2211yescharacteristic, complemented
116#2949—21no—
117#2946—21no—
118C2×C4×SD16C2211yescharacteristic
119D4×M16C2211yescharacteristic
120#1720C2211yescharacteristic, complemented
121#1720C2211yescharacteristic, complemented
122#1714C2211yescharacteristic, complemented
123#1714C2211yescharacteristic, complemented
124#1713C2211yescharacteristic, complemented
125#1710C2211yescharacteristic, complemented
126#1706C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1698C2211yescharacteristic, complemented
131#1697C2211yescharacteristic, complemented
132#1696C2211yescharacteristic, complemented
133#1696C2211yescharacteristic, complemented
134#1696C2211yescharacteristic, complemented
135#1696C2211yescharacteristic, complemented
136#1695C2211yescharacteristic, complemented
137#1695C2211yescharacteristic, complemented
138#1694C2211yescharacteristic, complemented
139#1693C2211yescharacteristic, complemented
140#1688C2211yescharacteristic, complemented
141#1688C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1683C2211yescharacteristic
146#1678C2211yescharacteristic, complemented
147#1678C2211yescharacteristic, complemented
148#1678C2211yescharacteristic, complemented
149#1678C2211yescharacteristic, complemented
150#1678C2211yescharacteristic, complemented
151#1677C2211yescharacteristic
152#1676C2211yescharacteristic, complemented
153#1675C2211yescharacteristic
154#1672C2211yescharacteristic, complemented
155#1672C2211yescharacteristic, complemented
156#1671C2211yescharacteristic, complemented
157#1671C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic
160#1646C2211yescharacteristic
161#1645C2211yescharacteristic, complemented
162#1644C2211yescharacteristic
163#1643C2211yescharacteristic, complemented
164#1642C2211yescharacteristic, complemented
165#1641C2211yescharacteristic
166#1640C2211yescharacteristic, complemented
167#1639C2211yescharacteristic
168#1637C2211yescharacteristic
169#1637C2211yescharacteristic, complemented
170#1636C2211yescharacteristic, complemented
171#1636C2211yescharacteristic, complemented
172#1634C2211yescharacteristic
173#1633C2211yescharacteristic, complemented
174#1633C2211yescharacteristic, complemented
175#1633C2211yescharacteristic, complemented
176#1632C2211yescharacteristic
177#1632C2211yescharacteristic
178#1632C2211yescharacteristic, complemented
179#1632C2211yescharacteristic, complemented
180#1631C2211yescharacteristic
181#1631C2211yescharacteristic, complemented
182#1630C2211yescharacteristic, complemented
183#1629C2211yescharacteristic
184#1627C2211yescharacteristic
185#1627C2211yescharacteristic, complemented
186#1626C2211yescharacteristic, complemented
187#1626C2211yescharacteristic, complemented
188#1623C2211yescharacteristic, complemented
189#1623C2211yescharacteristic, complemented
190#1622C2211yescharacteristic
191#1622C2211yescharacteristic, complemented
192#1591C2211yescharacteristic, complemented
193#1591C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1590C2211yescharacteristic, complemented
197#1590C2211yescharacteristic, complemented
198#1583C2211yescharacteristic, complemented
199#1583C2211yescharacteristic, complemented
200#1582C2211yescharacteristic
201#1582C2211yescharacteristic
202#1579C2211yescharacteristic, complemented
203#1579C2211yescharacteristic, complemented
204SD16⋊C8C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic
207C8×SD16C2211yescharacteristic
208#1569C2211yescharacteristic, complemented
209#1566C2211yescharacteristic, complemented
210#1560C2211yescharacteristic
211#1560C2211yescharacteristic, complemented
212#1559C2211yescharacteristic, complemented
213#1559C2211yescharacteristic, complemented
214#1497C2211yescharacteristic, complemented
215#1495C2211yescharacteristic
216#1487C2211yescharacteristic, complemented
217#1486C2211yescharacteristic
218C8×M16C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×AGL(1,ℤ/8)—21no—
221C22×SD16—21no—
222C22×SD16D411yescharacteristic
223C22×M16—21no—
224#559—21no—
225#559C2311yescharacteristic
226Q82—21no—
227Q82C2311yescharacteristic
228Q82C2311yescharacteristic
229Q82C2311yescharacteristic
230#557—21no—
231#557—21no—
232#557—21no—
233#557—41no—
234#557C2311yescharacteristic
235#557C2311yescharacteristic
236#555C2311yescharacteristic
237#554—21no—
238#554—21no—
239#554—21no—
240#554—21no—
241#554—41no—
242#554C2311yescharacteristic
243#554C2311yescharacteristic
244#554C2311yescharacteristic
245#554C2311yescharacteristic
246#553—21no—
247#553—21no—
248#550C2311yescharacteristic
249#550C2311yescharacteristic
250D4×Q8—21no—
251D4×Q8C2311yescharacteristic
252D4×Q8C2311yescharacteristic
253#548—21no—
254#547—21no—
255#547—41no—
256#546—21no—
257#546—41no—
258D42—21no—
259D42C2311yescharacteristic
260#544—21no—
261#544—21no—
262#544—41no—
263#543—41no—
264#542—21no—
265#542—41no—
266#540—21no—
267#538—41no—
268#533—21no—
269#533—21no—
270#533C2311yescharacteristic
271#533C2311yescharacteristic
272#533C2311yescharacteristic
273#532—21no—
274#532C2311yescharacteristic
275#532C2311yescharacteristic
276#529—21no—
277#529C2311yescharacteristic
278#525—21no—
279C2×C22⋊Q8—21no—
280C2×C22⋊Q8—21no—
281C2×#121—21no—
282#520—21no—
283#519—21no—
284#518—21no—
285#518—21no—
286C2×C4×Q8C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288#501—21no—
289#501—21no—
290#501—21no—
291#501—21no—
292#501—21no—
293#501—21no—
294#501D411yescharacteristic
295#500—21no—
296#500C2311yescharacteristic
297#500C2311yescharacteristic
298#500C2311yescharacteristic
299#500C2311yescharacteristic
300#500C2311yescharacteristic
301#499—21no—
302#499—21no—
303#499—21no—
304#499—21no—
305#498—21no—
306#498—21no—
307#498C2311yescharacteristic
308#498C2311yescharacteristic
309#497—21no—
310#497D411yescharacteristic
311#496—21no—
312#494C2311yescharacteristic
313#494C2311yescharacteristic
314#493C2311yescharacteristic
315#492—21no—
316#492C2311yescharacteristic
317#492C2311yescharacteristic
318#492C2311yescharacteristic
319#492C2311yescharacteristic
320#491—21no—
321#491D411yescharacteristic
322#489—21no—
323#489D411yescharacteristic
324#488—21no—
325#487—21no—
326#487C2311yescharacteristic
327#487C2311yescharacteristic
328#487C2311yescharacteristic
329#487C2311yescharacteristic
330#486—21no—
331#486—21no—
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#486C2311yescharacteristic
336#486C2311yescharacteristic
337#486C2311yescharacteristic
338#485—21no—
339#485—21no—
340#485—21no—
341#484—21no—
342#484—21no—
343#484—21no—
344#482—21no—
345#481—21no—
346#481—21no—
347#481—21no—
348#480—21no—
349#480—21no—
350#480—21no—
351#480—21no—
352#479—21no—
353#479—21no—
354#479—21no—
355#479—21no—
356#479—21no—
357#479—21no—
358#479—21no—
359#479—21no—
360#479—21no—
361#479—21no—
362#479—21no—
363#478—21no—
364#478—21no—
365#478—21no—
366#478—21no—
367#478—21no—
368#478—21no—
369#478—21no—
370#477—21no—
371#477—21no—
372#477—21no—
373#477—21no—
374#477—21no—
375#477C2311yescharacteristic
376#477C2311yescharacteristic
377#477C2311yescharacteristic
378#477C2311yescharacteristic
379#477C2311yescharacteristic
380#477C2311yescharacteristic
381#477C2311yescharacteristic
382#477C2311yescharacteristic
383#477C2311yescharacteristic
384#477C2311yescharacteristic
385#476—21no—
386#476—21no—
387#476—21no—
388#476—21no—
389#476C2311yescharacteristic
390#476C2311yescharacteristic
391#476C2311yescharacteristic
392#476C2311yescharacteristic
393#476C2311yescharacteristic
394#476C2311yescharacteristic
395#475—21no—
396#475—21no—
397#475C2311yescharacteristic
398#475C2311yescharacteristic
399#474—21no—
400#474—21no—
401#474—21no—
402#474—21no—
403#474—21no—
404#474—21no—
405#474—21no—
406#474C2311yescharacteristic
407#474C2311yescharacteristic
408#470—21no—
409#470—21no—
410#470D411yescharacteristic
411#470D411yescharacteristic
412#469—21no—
413#468—21no—
414#468—21no—
415#468—21no—
416#468—21no—
417#468—21no—
418#468—21no—
419#468—21no—
420#468—21no—
421#468—21no—
422#468—21no—
423#468—21no—
424#468—21no—
425#468—21no—
426#468—21no—
427#468—21no—
428#468D411yescharacteristic
429#468D411yescharacteristic
430#467—21no—
431#467—21no—
432#466—21no—
433#466—21no—
434#466—21no—
435#465—21no—
436#465—21no—
437#465—21no—
438#464—21no—
439#464—21no—
440#464—21no—
441#464—21no—
442#464—41no—
443#464—41no—
444#463—21no—
445#463—21no—
446#462—21no—
447#462C2311yescharacteristic
448#462C2311yescharacteristic
449#461—21no—
450#461—21no—
451#461—21no—
452#461—21no—
453#461—21no—
454#461C2311yescharacteristic
455#461C2311yescharacteristic
456#460—21no—
457#460—21no—
458#460—21no—
459#460C2311yescharacteristic
460#460C2311yescharacteristic
461#460C2311yescharacteristic
462#460C2311yescharacteristic
463#460C2311yescharacteristic
464#460C2311yescharacteristic
465#459—21no—
466#459C2311yescharacteristic
467#459C2311yescharacteristic
468#452—21no—
469#452—21no—
470#452—41no—
471#452—41no—
472#451—21no—
473#450—21no—
474#450—21no—
475#450—21no—
476#449—21no—
477#449—21no—
478#448—21no—
479#448—21no—
480#448—21no—
481#448—21no—
482#447—21no—
483#447—21no—
484#446—21no—
485#446—21no—
486#446—21no—
487#446C2311yescharacteristic
488#446C2311yescharacteristic
489#446C2311yescharacteristic
490#446C2311yescharacteristic
491#446C2311yescharacteristic
492C8×Q8—21no—
493C8×Q8C2311yescharacteristic
494C8×Q8C2311yescharacteristic
495C8×Q8C2311yescharacteristic
496C8×Q8C2311yescharacteristic
497C8×Q8C2311yescharacteristic
498#442—21no—
499#442—21no—
500#442—21no—
501#440—21no—
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#440—21no—
513#440—21no—
514#440—21no—
515#440—21no—
516C4×Q16—21no—
517C4×Q16—21no—
518C4×Q16C2311yescharacteristic
519C4×Q16C2311yescharacteristic
520C4×SD16—21no—
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16—21no—
526C4×SD16—21no—
527C4×SD16D411yescharacteristic
528C4×SD16D411yescharacteristic
529C4×SD16D411yescharacteristic
530C4×SD16D411yescharacteristic
531C4×SD16C2311yescharacteristic
532C4×SD16C2311yescharacteristic
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×SD16C2311yescharacteristic
536C4×SD16C2311yescharacteristic
537C4×D8—21no—
538C4×D8—21no—
539C4×D8—21no—
540#436C2311yescharacteristic
541#436C2311yescharacteristic
542#436C2311yescharacteristic
543#435—21no—
544#435—21no—
545#435—21no—
546C8×D4—21no—
547C8×D4C2311yescharacteristic
548C8×D4C2311yescharacteristic
549C8×D4C2311yescharacteristic
550#433—21no—
551#432C2311yescharacteristic
552#431C2311yescharacteristic
553#428—21no—
554#428—21no—
555#428—21no—
556#428—21no—
557#427—21no—
558#427—21no—
559C2×#107—21no—
560C2×#106D411yescharacteristic
561#424—21no—
562#423—21no—
563#423C2311yescharacteristic
564#423C2311yescharacteristic
565#423C2311yescharacteristic
566#419—21no—
567#419—21no—
568#418—21no—
569#417—21no—
570#416—21no—
571C2×#103—21no—
572C2×#103D411yescharacteristic
573C2×#102—21no—
574C2×#102—21no—
575C2×#102D411yescharacteristic
576#407—21no—
577#405—21no—
578#405—21no—
579C4×M16—21no—
580C4×M16C2311yescharacteristic
581C2×C4×C8C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#334C2311yescharacteristic
585#334C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
594#333C2311yescharacteristic
595#333C2311yescharacteristic
596#333C2311yescharacteristic
597#333C2311yescharacteristic
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
614Q8⋊C8C2311yescharacteristic
615Q8⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624C82C2311yescharacteristic
625C82C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—41no—
631C22×Q8—21no—
632C22×Q8—21no—
633C22×Q8C2×D411yescharacteristic
634C22×D4—21no—
635C22×D4—21no—
636C22×D4—41no—
637C22×D4C2×D411yescharacteristic
638C23×C4—21no—
639#137—82no—
640AGL(1,ℤ/8)—44no—
641C2×Q16—21no—
642C2×Q16—21no—
643C2×Q16—41no—
644C2×Q16—41no—
645C2×Q16C2×D411yescharacteristic
646C2×Q16C2×D411yescharacteristic
647C2×SD16—24no—
648C2×SD16—21no—
649C2×SD16—21no—
650C2×SD16—21no—
651C2×SD16—21no—
652C2×SD16—21no—
653C2×SD16—21no—
654C2×SD16—21no—
655C2×SD16—21no—
656C2×SD16—21no—
657C2×SD16—21no—
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—82no—
663C2×SD16C2×D411yescharacteristic
664C2×SD16C2×D411yescharacteristic
665C2×SD16C2×D411yescharacteristic
666C2×SD16C2×D411yescharacteristic
667C2×SD16C2×D411yescharacteristic
668C2×SD16C2×D411yescharacteristic
669C2×D8—21no—
670C2×D8—21no—
671C2×D8—21no—
672C2×D8—21no—
673C2×M16—21no—
674C2×M16—21no—
675C2×M16—21no—
676C2×M16—21no—
677C2×M16—21no—
678C2×M16—21no—
679C2×M16—82no—
680C2×M16C2×D411yescharacteristic
681C2×M16C2×D411yescharacteristic
682C22×C8—21no—
683C22×C8—21no—
684C22×C8—21no—
685C22×C8C2×D411yescharacteristic
686C22×C8C2×D411yescharacteristic
687C4⋊Q8—21no—
688C4⋊Q8—21no—
689C4⋊Q8—21no—
690C4⋊Q8—21no—
691C4⋊Q8—21no—
692C4⋊Q8—21no—
693C4⋊Q8—21no—
694C4⋊Q8—21no—
695C4⋊Q8—21no—
696C4⋊Q8—21no—
697C4⋊Q8—41no—
698C4⋊Q8—41no—
699C4⋊Q8—41no—
700C4⋊Q8—41no—
701C4⋊Q8—41no—
702C4⋊Q8—41no—
703C4⋊Q8—41no—
704C4⋊Q8C2×D411yescharacteristic
705C4⋊Q8C2×D411yescharacteristic
706C4⋊Q8C2411yescharacteristic
707C4⋊Q8C2411yescharacteristic
708C4⋊Q8C2411yescharacteristic
709C4⋊Q8C2411yescharacteristic
710C4⋊Q8C2411yescharacteristic
711C4⋊Q8C2411yescharacteristic
712#127—21no—
713#127—21no—
714#127C2411yescharacteristic
715#127C2411yescharacteristic
716#126—21no—
717#126—41no—
718#126—41no—
719#125—21no—
720#125—21no—
721#125—21no—
722#125—21no—
723#125—21no—
724#125—21no—
725#125—21no—
726#125—21no—
727#125—21no—
728#125—41no—
729#125—41no—
730#125—41no—
731#125—41no—
732#125—41no—
733#125—41no—
734#125—41no—
735#125—41no—
736#125C2×D411yescharacteristic
737#124—21no—
738#124—21no—
739#124—21no—
740#124—21no—
741#124—41no—
742#124—41no—
743#124—41no—
744#124C2×D411yescharacteristic
745#123—21no—
746#123—41no—
747#123—41no—
748#123—41no—
749#123—41no—
750#123—41no—
751#123—41no—
752#123—41no—
753C22⋊Q8—21no—
754C22⋊Q8—21no—
755C22⋊Q8—21no—
756C22⋊Q8—21no—
757C22⋊Q8—21no—
758C22⋊Q8—21no—
759C22⋊Q8—21no—
760C22⋊Q8—21no—
761C22⋊Q8—21no—
762C22⋊Q8—21no—
763C22⋊Q8—21no—
764C22⋊Q8—41no—
765C22⋊Q8—41no—
766C22⋊Q8—41no—
767C22⋊Q8—41no—
768C22⋊Q8—41no—
769C22⋊Q8—41no—
770C22⋊Q8—41no—
771C22⋊Q8—41no—
772C22⋊Q8—41no—
773C22⋊Q8—41no—
774C22⋊Q8—41no—
775C22⋊Q8—41no—
776C22⋊Q8—41no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8C2×D411yescharacteristic
784C22⋊Q8C2×D411yescharacteristic
785C22⋊Q8C2×D411yescharacteristic
786#121—21no—
787#121—21no—
788#121—21no—
789#121—21no—
790#121—21no—
791#121—21no—
792#121—21no—
793#121—21no—
794#121—21no—
795#121—21no—
796#121—41no—
797#121—41no—
798#121—41no—
799#121—41no—
800#121—41no—
801#121—41no—
802#121—41no—
803#121C2×D411yescharacteristic
804#120—41no—
805#120—41no—
806#120—41no—
807C4×Q8—21no—
808C4×Q8—21no—
809C4×Q8—21no—
810C4×Q8—21no—
811C4×Q8—21no—
812C4×Q8—21no—
813C4×Q8—21no—
814C4×Q8—21no—
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—41no—
825C4×Q8—41no—
826C4×Q8—41no—
827C4×Q8—41no—
828C4×Q8C2×D411yescharacteristic
829C4×Q8C2×D411yescharacteristic
830C4×Q8C2411yescharacteristic
831C4×Q8C2411yescharacteristic
832C4×Q8C2411yescharacteristic
833C4×Q8C2411yescharacteristic
834C4×Q8C2411yescharacteristic
835C4×D4—21no—
836C4×D4—21no—
837C4×D4—21no—
838C4×D4—21no—
839C4×D4—21no—
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—41no—
853C4×D4—41no—
854C4×D4—41no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4—41no—
859C4×D4—41no—
860C4×D4C2×D411yescharacteristic
861C4×D4C2×D411yescharacteristic
862C4×D4C2411yescharacteristic
863C4×D4C2411yescharacteristic
864C4×D4C2411yescharacteristic
865#117—21no—
866#117—21no—
867#117—21no—
868#117—21no—
869#117—21no—
870#117—21no—
871#117—41no—
872#117—41no—
873#117—41no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—41no—
880C2×C4⋊C4—41no—
881C2×C4⋊C4—41no—
882C2×C4⋊C4C2×D411yescharacteristic
883C2×C4⋊C4C2×D411yescharacteristic
884C2×C22⋊C4—21no—
885C2×C22⋊C4—41no—
886C2×C22⋊C4—41no—
887C2×C22⋊C4—41no—
888C2×C22⋊C4—41no—
889C2×C42—21no—
890C2×C42C2411yescharacteristic
891#107—21no—
892#107—21no—
893#107—21no—
894#107—21no—
895#107—21no—
896#107—21no—
897#107—21no—
898#107—21no—
899#107—21no—
900#107—21no—
901#107—21no—
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—21no—
911#107—21no—
912#107—21no—
913#107C2×D411yescharacteristic
914#107C2×D411yescharacteristic
915#106—21no—
916#106—21no—
917#106—21no—
918#106—21no—
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—21no—
924#106—21no—
925#106—21no—
926#106—21no—
927#106C2×D411yescharacteristic
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930#106C2×D411yescharacteristic
931#106C2×D411yescharacteristic
932#106C2×D411yescharacteristic
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8—21no—
943C4⋊C8—21no—
944C4⋊C8—21no—
945C4⋊C8—21no—
946C4⋊C8—21no—
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
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—41no—
976#103—41no—
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
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—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
1019C22⋊C8—21no—
1020C22⋊C8—21no—
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027#97—21no—
1028#97—21no—
1029#97—21no—
1030#97—21no—
1031#97—21no—
1032#97—21no—
1033#97C2×D411yescharacteristic
1034#97C2×D411yescharacteristic
1035C4×C8—21no—
1036C4×C8—21no—
1037C4×C8—21no—
1038C4×C8—21no—
1039C4×C8—21no—
1040C4×C8C2×D411yescharacteristic
1041C4×C8C2×D411yescharacteristic
1042C4×C8C2411yescharacteristic
1043C4×C8C2411yescharacteristic
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C24—21no—
1049C24—41no—
1050#41—42no—
1051#41—81no—
1052#41—81no—
1053#41—81no—
1054#41—161no—
1055#41—161no—
1056#41—162no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—22no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—41no—
1067C2×Q8—41no—
1068C2×Q8—41no—
1069C2×Q8—41no—
1070C2×Q8—41no—
1071C2×Q8—41no—
1072C2×Q8—81no—
1073C2×Q8—81no—
1074C2×Q8—81no—
1075C2×Q8—81no—
1076C2×Q8C22×D411yescharacteristic
1077C2×Q8C22×D411yescharacteristic
1078C2×Q8C22×D411yescharacteristic
1079C2×Q8C22×D411yescharacteristic
1080C2×Q8C22×D411yescharacteristic
1081C2×D4—22no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—42no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
1104C2×D4—162no—
1105C2×D4C22×D411yescharacteristic
1106C2×D4C22×D411yescharacteristic
1107C2×D4C22×D411yescharacteristic
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—81no—
1128C22×C4—81no—
1129C22×C4C22×D411yescharacteristic
1130C22×C4C22×D411yescharacteristic
1131C22×C4H(5,𝔽2)11yescharacteristic
1132Q16—22no—
1133Q16—41no—
1134Q16—81no—
1135Q16—81no—
1136Q16—161no—
1137Q16—161no—
1138SD16—22no—
1139SD16—22no—
1140SD16—22no—
1141SD16—22no—
1142SD16—41no—
1143SD16—42no—
1144SD16—42no—
1145SD16—42no—
1146SD16—81no—
1147SD16—81no—
1148SD16—81no—
1149SD16—81no—
1150SD16—81no—
1151SD16—81no—
1152SD16—81no—
1153SD16—81no—
1154SD16—81no—
1155SD16—161no—
1156SD16—161no—
1157SD16#13714yescomplemented
1158D8—42no—
1159D8—42no—
1160D8—81no—
1161D8—81no—
1162M16—22no—
1163M16—41no—
1164M16—42no—
1165M16—42no—
1166M16—42no—
1167M16—81no—
1168M16—81no—
1169M16—81no—
1170C2×C8—22no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—41no—
1182C2×C8—42no—
1183C2×C8—81no—
1184C2×C8—81no—
1185C2×C8C22×D411yescharacteristic
1186C2×C8C22×D411yescharacteristic
1187C2×C8C22×D411yescharacteristic
1188C2×C8C22×D411yescharacteristic
1189C2×C8C22×D411yescharacteristic
1190C2×C8C22×D411yescharacteristic
1191C2×C8C22×D411yescharacteristic
1192C2×C8C22×D411yescharacteristic
1193C4⋊C4—21no—
1194C4⋊C4—21no—
1195C4⋊C4—21no—
1196C4⋊C4—21no—
1197C4⋊C4—21no—
1198C4⋊C4—21no—
1199C4⋊C4—21no—
1200C4⋊C4—21no—
1201C4⋊C4—21no—
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—21no—
1205C4⋊C4—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4C22×D411yescharacteristic
1249C4⋊C4C22×D411yescharacteristic
1250C4⋊C4C22×D411yescharacteristic
1251C4⋊C4C22×D411yescharacteristic
1252C4⋊C4C22×D411yescharacteristic
1253C4⋊C4C22×D411yescharacteristic
1254C4⋊C4C22×D411yescharacteristic
1255C4⋊C4C22×D411yescharacteristic
1256C22⋊C4—21no—
1257C22⋊C4—21no—
1258C22⋊C4—21no—
1259C22⋊C4—21no—
1260C22⋊C4—21no—
1261C22⋊C4—21no—
1262C22⋊C4—21no—
1263C22⋊C4—21no—
1264C22⋊C4—21no—
1265C22⋊C4—21no—
1266C22⋊C4—21no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C42—21no—
1288C42—21no—
1289C42—21no—
1290C42—21no—
1291C42—21no—
1292C42—21no—
1293C42—21no—
1294C42—41no—
1295C42—41no—
1296C42—41no—
1297C42—41no—
1298C42—41no—
1299C42—41no—
1300C42—41no—
1301C42—41no—
1302C42C22×D411yescharacteristic
1303C42C22×D411yescharacteristic
1304C42H(5,𝔽2)11yescharacteristic
1305C42C2511yescharacteristic
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—42no—
1310C23—41no—
1311C23—41no—
1312C23—81no—
1313C23—81no—
1314C23—82no—
1315C23—161no—
1316C23—161no—
1317C23D4211yescharacteristic
1318Q8—21no—
1319Q8—21no—
1320Q8—21no—
1321Q8—21no—
1322Q8—21no—
1323Q8—21no—
1324Q8—21no—
1325Q8—21no—
1326Q8—21no—
1327Q8—42no—
1328Q8—41no—
1329Q8—41no—
1330Q8—41no—
1331Q8—41no—
1332Q8—81no—
1333Q8—81no—
1334Q8—81no—
1335Q8—81no—
1336Q8—81no—
1337Q8—161no—
1338Q8—161no—
1339Q8—161no—
1340Q8—161no—
1341Q8—161no—
1342Q8C2×#13712yes—
1343D4—21no—
1344D4—21no—
1345D4—21no—
1346D4—21no—
1347D4—21no—
1348D4—42no—
1349D4—42no—
1350D4—41no—
1351D4—41no—
1352D4—41no—
1353D4—41no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—41no—
1358D4—82no—
1359D4—81no—
1360D4—81no—
1361D4—82no—
1362D4—82no—
1363D4—82no—
1364D4—161no—
1365D4—161no—
1366D4—161no—
1367D4—161no—
1368D4—161no—
1369D4C2×#13712yes—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—41no—
1388C2×C4—42no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—81no—
1402C2×C4—81no—
1403C2×C4—82no—
1404C2×C4—81no—
1405C2×C4—81no—
1406C2×C4—161no—
1407C2×C4—161no—
1408C2×C4—161no—
1409C2×C4—161no—
1410C2×C4—161no—
1411C2×C4—161no—
1412C2×C4—161no—
1413C2×C4—161no—
1414C2×C4—161no—
1415C2×C4—161no—
1416C2×C4D4211yescharacteristic
1417C2×C4D4211yescharacteristic
1418C2×C4D4211yescharacteristic
1419C2×C4C23×D411yescharacteristic
1420C2×C4C23×D411yescharacteristic
1421C2×C4C2×H(5,𝔽2)11yescharacteristic
1422C8—21no—
1423C8—21no—
1424C8—21no—
1425C8—21no—
1426C8—21no—
1427C8—21no—
1428C8—41no—
1429C8—41no—
1430C8—41no—
1431C8—41no—
1432C8—41no—
1433C8—41no—
1434C8—41no—
1435C8—41no—
1436C8—41no—
1437C8—41no—
1438C8C2×#13712yes—
1439C8#57712yes—
1440C22—21no—
1441C22—22no—
1442C22—21no—
1443C22—21no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—162no—
1459C22—322no—
1460C22C2×D4211yescharacteristic
1461C4—21no—
1462C4—22no—
1463C4—21no—
1464C4—21no—
1465C4—21no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4—81no—
1483C4—81no—
1484C4C22×#13711yescharacteristic
1485C4C2×#57711yescharacteristic
1486C4#358411yescharacteristic
1487C4#358611yescharacteristic
1488C2—41no—
1489C2—42no—
1490C2—81no—
1491C2—81no—
1492C2—161no—
1493C2—161no—
1494C2D4×#13711yescharacteristic
1495C2#6108511yescharacteristic
1496C2#6110611yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
prime radical#61498C2
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. #62394C2semidirect
2. #62296C2semidirect
4. #61371C2semidirect
5. #20324C2semidirect
6. #20313C2semidirect
7. #20299C2semidirect
8. #20295C2semidirect
9. #19930C2semidirect
10. #19929C2semidirect
11. #19893C2semidirect
12. #19892C2semidirect
13. #19877C2semidirect
14. #19857C2semidirect
15. #19829C2semidirect
16. #19828C2semidirect
17. #19809C2semidirect
18. #19798C2semidirect
19. #19790C2semidirect
20. #19765C2semidirect
21. #19646C2semidirect
22. #19360C2semidirect
23. #19349C2semidirect
24. #19309C2semidirect
25. #19305C2semidirect
26. #18855C2semidirect
27. #18839C2semidirect
28. #18813C2semidirect
29. #18811C2semidirect
30. M16×SD16C2semidirect
31. #17967C2semidirect
34. #3502C22semidirect
37. #3400C22semidirect
39. #3392C22semidirect
43. #3386C22semidirect
47. #3385C22semidirect
48. #3385C22semidirect
49. Q8×Q16C22semidirect
53. #3381C22semidirect
55. Q8×SD16C22semidirect
57. #3375C22semidirect
59. #3372C22semidirect
60. #3363C22semidirect
62. #3362C22semidirect
86. #3254C22semidirect
91. #3210C22semidirect
96. #3182C22semidirect
102. #3160C22semidirect
109. #3078C22semidirect
114. Q8×M16C22semidirect
115. #2960C22semidirect
120. #1720C22semidirect
121. #1720C22semidirect
122. #1714C22semidirect
123. #1714C22semidirect
124. #1713C22semidirect
125. #1710C22semidirect
126. #1706C22semidirect
127. #1706C22semidirect
128. #1704C22semidirect
129. #1703C22semidirect
130. #1698C22semidirect
131. #1697C22semidirect
132. #1696C22semidirect
133. #1696C22semidirect
134. #1696C22semidirect
135. #1696C22semidirect
136. #1695C22semidirect
137. #1695C22semidirect
138. #1694C22semidirect
139. #1693C22semidirect
140. #1688C22semidirect
141. #1688C22semidirect
142. #1686C22semidirect
143. #1685C22semidirect
144. #1684C22semidirect
146. #1678C22semidirect
147. #1678C22semidirect
148. #1678C22semidirect
149. #1678C22semidirect
150. #1678C22semidirect
152. #1676C22semidirect
154. #1672C22semidirect
155. #1672C22semidirect
156. #1671C22semidirect
157. #1671C22semidirect
158. #1666C22semidirect
161. #1645C22semidirect
163. #1643C22semidirect
164. #1642C22semidirect
166. #1640C22semidirect
169. #1637C22semidirect
170. #1636C22semidirect
171. #1636C22semidirect
173. #1633C22semidirect
174. #1633C22semidirect
175. #1633C22semidirect
178. #1632C22semidirect
179. #1632C22semidirect
181. #1631C22semidirect
182. #1630C22semidirect
185. #1627C22semidirect
186. #1626C22semidirect
187. #1626C22semidirect
188. #1623C22semidirect
189. #1623C22semidirect
191. #1622C22semidirect
192. #1591C22semidirect
193. #1591C22semidirect
194. #1590C22semidirect
195. #1590C22semidirect
196. #1590C22semidirect
197. #1590C22semidirect
198. #1583C22semidirect
199. #1583C22semidirect
202. #1579C22semidirect
203. #1579C22semidirect
204. SD16⋊C8C22semidirect
205. SD16⋊C8C22semidirect
208. #1569C22semidirect
209. #1566C22semidirect
211. #1560C22semidirect
212. #1559C22semidirect
213. #1559C22semidirect
214. #1497C22semidirect
216. #1487C22semidirect
218. C8×M16C22semidirect
1157. SD16#137semidirect

Maximal subgroups

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

subgroupindex
#623942
#622962
#614982
#613712
#203242
#203132
#202992
#202952
#199302
#199292
#198932
#198922
#198772
#198572
#198292
#198282
#198092
#197982
#197902
#197652
#196462
#193602
#193492
#193092
#193052
#188552
#188392
#188132
#188112
M16×SD162
#179672