Finite Group Databasebeta

← #6362546

Subgroups — #6362546

Order 512.

1633 conjugacy classes of subgroups.

The subgroup lattice has 1540 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62152C211yesmaximal, characteristic, complemented
2#61989C211yesmaximal, characteristic, complemented
3#61493C211yesmaximal, characteristic, complemented
4#61124C211yesmaximal, characteristic, complemented
5#20147C211yesmaximal, characteristic, complemented
6#20142C211yesmaximal, characteristic, complemented
7#20115C211yesmaximal, characteristic, complemented
8#20113C211yesmaximal, characteristic, complemented
9#20041C211yesmaximal, characteristic, complemented
10#20038C211yesmaximal, characteristic, complemented
11#20026C211yesmaximal, characteristic, complemented
12#20022C211yesmaximal, characteristic, complemented
13#19998C211yesmaximal, characteristic, complemented
14#19988C211yesmaximal, characteristic, complemented
15#19978C211yesmaximal, characteristic, complemented
16#19976C211yesmaximal, characteristic, complemented
17#19949C211yesmaximal, characteristic, complemented
18#19946C211yesmaximal, characteristic, complemented
19#19916C211yesmaximal, characteristic, complemented
20#19914C211yesmaximal, characteristic, complemented
21#19649C211yesmaximal, characteristic, complemented
22#19492C211yesmaximal, characteristic, complemented
23#19487C211yesmaximal, characteristic, complemented
24#19366C211yesmaximal, characteristic, complemented
25#19254C211yesmaximal, characteristic, complemented
26#18596C211yesmaximal, characteristic, complemented
27#18595C211yesmaximal, characteristic, complemented
28#18560C211yesmaximal, characteristic, complemented
29#18555C211yesmaximal, characteristic, complemented
30#18057C211yesmaximal, characteristic, complemented
31#17910C211yesmaximal, characteristic, complemented
32#3515C2211yescharacteristic, complemented
33#3514C2211yescharacteristic
34#3475C2211yescharacteristic, complemented
35D4×#41C2211yescharacteristic
36#3400C2211yescharacteristic, complemented
37#3399C2211yescharacteristic
38#3397C2211yescharacteristic
39#3384C2211yescharacteristic, complemented
40#3381C2211yescharacteristic, complemented
41#3380C2211yescharacteristic
42#3373C2211yescharacteristic
43#3367C2211yescharacteristic
44#3364C2211yescharacteristic, complemented
45#3361C2211yescharacteristic, complemented
46#3360C2211yescharacteristic, complemented
47#3359C2211yescharacteristic, complemented
48#3357C2211yescharacteristic, complemented
49#3356C2211yescharacteristic, complemented
50#3354C2211yescharacteristic, complemented
51#3352—21no—
52#3351—21no—
53#3348—21no—
54#3331C2211yescharacteristic, complemented
55#3330C2211yescharacteristic
56#3323—21no—
57#3322—21no—
58#3308—21no—
59#3306—21no—
60#3305C2211yescharacteristic, complemented
61#3304C2211yescharacteristic, complemented
62#3303—21no—
63#3303C2211yescharacteristic
64#3302C2211yescharacteristic
65#3302C2211yescharacteristic, complemented
66#3301—21no—
67#3300—21no—
68#3299C2211yescharacteristic, complemented
69#3298C2211yescharacteristic
70#3298C2211yescharacteristic, complemented
71#3297—21no—
72#3296—21no—
73#3296—21no—
74#3295C2211yescharacteristic
75#3295C2211yescharacteristic, complemented
76#3294C2211yescharacteristic
77#3294C2211yescharacteristic
78D4×SD16C2211yescharacteristic
79D4×D8C2211yescharacteristic
80#3272C2211yescharacteristic, complemented
81#3267—21no—
82#3265—21no—
83#3264—21no—
84#3256—21no—
85#3252C2211yescharacteristic, complemented
86#3251C2211yescharacteristic
87#3247—21no—
88#3232—21no—
89#3231C2211yescharacteristic, complemented
90#3213—21no—
91#3207C2211yescharacteristic
92#3182C2211yescharacteristic, complemented
93#3182C2211yescharacteristic, complemented
94#3178—21no—
95#3167C2211yescharacteristic, complemented
96#3131C2211yescharacteristic, complemented
97#3125—21no—
98#3123—21no—
99#3116C2211yescharacteristic
100#3115C2211yescharacteristic, complemented
101#3114—21no—
102#3105C2211yescharacteristic
103#3102—21no—
104#3091—21no—
105#3080—21no—
106#3077C2211yescharacteristic, complemented
107#3076C2211yescharacteristic
108#3050—21no—
109#3036C2211yescharacteristic
110#3035C2211yescharacteristic, complemented
111C2×#463—21no—
112#3002—21no—
113#2991C2211yescharacteristic, complemented
114#2990C2211yescharacteristic
115#2966C2211yescharacteristic, complemented
116#2946—21no—
117C4×#135C2211yescharacteristic
118C2×C8×D4C2211yescharacteristic, complemented
119C2×#416—21no—
120#1718C2211yescharacteristic, complemented
121#1717C2211yescharacteristic, complemented
122#1714C2211yescharacteristic, complemented
123#1714C2211yescharacteristic, complemented
124#1711C2211yescharacteristic, complemented
125#1710C2211yescharacteristic, complemented
126#1708C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1704C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1696C2211yescharacteristic, complemented
137#1692C2211yescharacteristic, complemented
138#1687C2211yescharacteristic, complemented
139#1685C2211yescharacteristic, complemented
140#1683C2211yescharacteristic, complemented
141#1682C2211yescharacteristic, complemented
142#1680C2211yescharacteristic, complemented
143#1680C2211yescharacteristic, complemented
144#1679C2211yescharacteristic, complemented
145#1679C2211yescharacteristic, complemented
146#1679C2211yescharacteristic, complemented
147#1679C2211yescharacteristic, complemented
148#1678C2211yescharacteristic, complemented
149#1677C2211yescharacteristic
150#1677C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1675C2211yescharacteristic, complemented
153#1671C2211yescharacteristic, complemented
154#1671C2211yescharacteristic, complemented
155#1671C2211yescharacteristic, complemented
156#1668C2211yescharacteristic, complemented
157#1666C2211yescharacteristic, complemented
158#1665C2211yescharacteristic
159#1665C2211yescharacteristic, complemented
160#1650C2211yescharacteristic, complemented
161#1650C2211yescharacteristic, complemented
162#1649C2211yescharacteristic, complemented
163#1649C2211yescharacteristic, complemented
164#1648C2211yescharacteristic, complemented
165#1647C2211yescharacteristic
166#1647C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1646C2211yescharacteristic, complemented
169#1644C2211yescharacteristic, complemented
170#1643C2211yescharacteristic, complemented
171#1643C2211yescharacteristic, complemented
172#1641C2211yescharacteristic, complemented
173#1640C2211yescharacteristic, complemented
174#1639C2211yescharacteristic
175#1639C2211yescharacteristic, complemented
176#1638C2211yescharacteristic, complemented
177#1637C2211yescharacteristic, complemented
178#1637C2211yescharacteristic, complemented
179#1635C2211yescharacteristic
180#1631C2211yescharacteristic, complemented
181#1630C2211yescharacteristic, complemented
182#1629C2211yescharacteristic
183#1629C2211yescharacteristic, complemented
184#1628C2211yescharacteristic, complemented
185#1626C2211yescharacteristic, complemented
186#1625C2211yescharacteristic
187#1625C2211yescharacteristic, complemented
188#1624C2211yescharacteristic, complemented
189#1622C2211yescharacteristic
190#1622C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1590C2211yescharacteristic, complemented
193#1590C2211yescharacteristic, complemented
194#1587C2211yescharacteristic, complemented
195#1587C2211yescharacteristic, complemented
196#1586C2211yescharacteristic
197#1586C2211yescharacteristic, complemented
198#1586C2211yescharacteristic, complemented
199#1586C2211yescharacteristic, complemented
200#1585C2211yescharacteristic, complemented
201#1585C2211yescharacteristic, complemented
202C8×SD16C2211yescharacteristic, complemented
203C8×SD16C2211yescharacteristic, complemented
204C8×SD16C2211yescharacteristic, complemented
205C8×SD16C2211yescharacteristic, complemented
206C8×D8C2211yescharacteristic
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1566C2211yescharacteristic, complemented
210#1559C2211yescharacteristic, complemented
211#1557C2211yescharacteristic, complemented
212#1550C2211yescharacteristic, complemented
213#1547C2211yescharacteristic, complemented
214#1490C2211yescharacteristic, complemented
215#1489C2211yescharacteristic
216#1489C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218C8×M16C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×#135—21no—
223C2×#135D411yescharacteristic
224C22×SD16—21no—
225C22×D8—21no—
226C23×C8—21no—
227#559C2311yescharacteristic
228#557C2311yescharacteristic
229#556C2311yescharacteristic
230#556C2311yescharacteristic
231#555—21no—
232#555C2311yescharacteristic
233#554C2311yescharacteristic
234#554C2311yescharacteristic
235#554C2311yescharacteristic
236#553—21no—
237#553—21no—
238#552—21no—
239#552—21no—
240#552—21no—
241#552—21no—
242#552—41no—
243#551—41no—
244#551—41no—
245#550C2311yescharacteristic
246D4×Q8C2311yescharacteristic
247D4×Q8C2311yescharacteristic
248#548—21no—
249#548—21no—
250#547—21no—
251#547—21no—
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#546—21no—
256#546—21no—
257#546—21no—
258#546—21no—
259#546—41no—
260D42—21no—
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263#542—21no—
264#541—21no—
265#539—41no—
266#538—41no—
267#533C2311yescharacteristic
268#533C2311yescharacteristic
269#532—21no—
270#532C2311yescharacteristic
271#532C2311yescharacteristic
272#529—21no—
273#529—21no—
274#529—21no—
275#529—41no—
276#529C2311yescharacteristic
277C2×#125—21no—
278C2×#124—21no—
279#525—21no—
280#525—21no—
281#525—41no—
282#520—21no—
283#518—21no—
284C4×#41—21no—
285C4×#41C2311yescharacteristic
286C4×#41C2311yescharacteristic
287C2×C4×D4—21no—
288C2×C4×D4C2311yescharacteristic
289C2×#117—21no—
290#501—21no—
291#500C2311yescharacteristic
292#500C2311yescharacteristic
293#500C2311yescharacteristic
294#499—21no—
295#499—21no—
296#498C2311yescharacteristic
297#498C2311yescharacteristic
298#497—21no—
299#496—21no—
300#496—21no—
301#493C2311yescharacteristic
302#492C2311yescharacteristic
303#492C2311yescharacteristic
304#492C2311yescharacteristic
305#492C2311yescharacteristic
306#489—21no—
307#489—21no—
308#488—21no—
309#488—21no—
310#488—21no—
311#488—21no—
312#488—21no—
313#487—21no—
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic
327#486C2311yescharacteristic
328#485—21no—
329#485—21no—
330#485—21no—
331#485—21no—
332#485—21no—
333#485—21no—
334#485—21no—
335#485—21no—
336#484—21no—
337#484—21no—
338#484D411yescharacteristic
339#483—21no—
340#483—21no—
341#483—21no—
342#483—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#481—21no—
348#481—21no—
349#481—21no—
350#481D411yescharacteristic
351#480—21no—
352#480—21no—
353#480—21no—
354#479—21no—
355#479—21no—
356#479—21no—
357#479—21no—
358#479—21no—
359#479—21no—
360#479—21no—
361#478—21no—
362#478—21no—
363#478—21no—
364#478—21no—
365#478—21no—
366#478—21no—
367#478—21no—
368#478—21no—
369#478—21no—
370#478D411yescharacteristic
371#478D411yescharacteristic
372#477—21no—
373#477C2311yescharacteristic
374#477C2311yescharacteristic
375#477C2311yescharacteristic
376#476—21no—
377#476—21no—
378#476C2311yescharacteristic
379#476C2311yescharacteristic
380#476C2311yescharacteristic
381#476C2311yescharacteristic
382#476C2311yescharacteristic
383#475—21no—
384#475C2311yescharacteristic
385#475C2311yescharacteristic
386#475C2311yescharacteristic
387#474C2311yescharacteristic
388#474C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#470—21no—
393#470—21no—
394#470—21no—
395#469—21no—
396#469—21no—
397#468—21no—
398#468—21no—
399#468—21no—
400#468—21no—
401#468—21no—
402#468—41no—
403#468—41no—
404#467—21no—
405#467—21no—
406#467—21no—
407#466—21no—
408#466—21no—
409#466—21no—
410#466—21no—
411#465—21no—
412#465—21no—
413#465—21no—
414#465—21no—
415#465—21no—
416#465—21no—
417#465—21no—
418#465—21no—
419#465—21no—
420#464—21no—
421#464—21no—
422#464—21no—
423#464—21no—
424#463—21no—
425#463—21no—
426#463—21no—
427#463—21no—
428#463—21no—
429#463—21no—
430#463—21no—
431#463—21no—
432#463—21no—
433#463—21no—
434#463—21no—
435#463—21no—
436#463D411yescharacteristic
437#463D411yescharacteristic
438#462C2311yescharacteristic
439#462C2311yescharacteristic
440#462C2311yescharacteristic
441#461—21no—
442#461—21no—
443#461C2311yescharacteristic
444#461C2311yescharacteristic
445#461C2311yescharacteristic
446#461C2311yescharacteristic
447#461C2311yescharacteristic
448#460—21no—
449#460C2311yescharacteristic
450#460C2311yescharacteristic
451#460C2311yescharacteristic
452#459—21no—
453#459C2311yescharacteristic
454#459C2311yescharacteristic
455#459C2311yescharacteristic
456#459C2311yescharacteristic
457#459C2311yescharacteristic
458#452—21no—
459#452—21no—
460#452—21no—
461#452—21no—
462#452—21no—
463#451—21no—
464#450—21no—
465#450—21no—
466#450—21no—
467#450—21no—
468#450D411yescharacteristic
469#449—21no—
470#449—21no—
471#449—21no—
472#449—21no—
473#449—21no—
474#449—21no—
475#449—21no—
476#448—21no—
477#448—21no—
478#448—21no—
479#447—21no—
480#447—21no—
481#447—21no—
482#447—21no—
483#447D411yescharacteristic
484#446C2311yescharacteristic
485#446C2311yescharacteristic
486#446C2311yescharacteristic
487C8×Q8C2311yescharacteristic
488C8×Q8C2311yescharacteristic
489C8×Q8C2311yescharacteristic
490#442—21no—
491#442—21no—
492#442—21no—
493#442—21no—
494#441—21no—
495#440—21no—
496#440—21no—
497#440—21no—
498#440—21no—
499#440—21no—
500#440—41no—
501#440—41no—
502C4×Q16—21no—
503C4×Q16D411yescharacteristic
504C4×Q16C2311yescharacteristic
505C4×SD16—21no—
506C4×SD16—21no—
507C4×SD16—21no—
508C4×SD16—21no—
509C4×SD16—21no—
510C4×SD16D411yescharacteristic
511C4×SD16D411yescharacteristic
512C4×SD16C2311yescharacteristic
513C4×SD16C2311yescharacteristic
514C4×SD16C2311yescharacteristic
515C4×SD16C2311yescharacteristic
516C4×D8—21no—
517C4×D8—21no—
518C4×D8D411yescharacteristic
519C4×D8C2311yescharacteristic
520C4×D8C2311yescharacteristic
521C4×D8C2311yescharacteristic
522#436—21no—
523#436—21no—
524#436C2311yescharacteristic
525#436C2311yescharacteristic
526#436C2311yescharacteristic
527#435—21no—
528#435—21no—
529#435—21no—
530C8×D4—21no—
531C8×D4—21no—
532C8×D4—21no—
533C8×D4C2311yescharacteristic
534C8×D4C2311yescharacteristic
535C8×D4C2311yescharacteristic
536C8×D4C2311yescharacteristic
537C8×D4C2311yescharacteristic
538C8×D4C2311yescharacteristic
539C8×D4C2311yescharacteristic
540#433—21no—
541#432—21no—
542#432C2311yescharacteristic
543#431—21no—
544#431C2311yescharacteristic
545#428—21no—
546#428—21no—
547#428—21no—
548#428—21no—
549#427—21no—
550#427D411yescharacteristic
551#423—21no—
552#423C2311yescharacteristic
553#423C2311yescharacteristic
554C2×C4⋊C8—21no—
555C2×C4⋊C8C2311yescharacteristic
556#418—21no—
557#417—21no—
558#417—21no—
559#417—21no—
560#416—21no—
561#416—21no—
562#416—21no—
563#416—21no—
564#416—21no—
565#416—21no—
566#416—21no—
567#416—21no—
568#416—21no—
569#416D411yescharacteristic
570#416D411yescharacteristic
571C2×#103—21no—
572C2×#103—21no—
573C2×#103—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577C2×#102—21no—
578C2×C22⋊C8—21no—
579#405—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#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624C82C2311yescharacteristic
625C82C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—41no—
633C2×#41—41no—
634C2×#41—44no—
635C2×#41—82no—
636C2×#41C2×D411yescharacteristic
637C2×#41C2×D411yescharacteristic
638C22×Q8—21no—
639C22×Q8—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—41no—
645C22×D4C2×D411yescharacteristic
646C23×C4—21no—
647C23×C4—41no—
648AGL(1,ℤ/8)—44no—
649AGL(1,ℤ/8)—82no—
650#135—42no—
651#135—82no—
652C2×Q16—21no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16C2×D411yescharacteristic
656C2×SD16—21no—
657C2×SD16—21no—
658C2×SD16—21no—
659C2×SD16—21no—
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—41no—
669C2×SD16—41no—
670C2×SD16—82no—
671C2×SD16C2×D411yescharacteristic
672C2×SD16C2×D411yescharacteristic
673C2×SD16C2×D411yescharacteristic
674C2×SD16C2×D411yescharacteristic
675C2×D8—21no—
676C2×D8—21no—
677C2×D8—21no—
678C2×D8—21no—
679C2×D8—21no—
680C2×D8—21no—
681C2×D8—21no—
682C2×D8—82no—
683C2×D8C2×D411yescharacteristic
684C2×D8C2×D411yescharacteristic
685C2×D8C2×D411yescharacteristic
686C2×M16—21no—
687C2×M16—21no—
688C2×M16—21no—
689C2×M16—21no—
690C2×M16—21no—
691C2×M16—21no—
692C22×C8—21no—
693C22×C8—21no—
694C22×C8—21no—
695C22×C8—21no—
696C22×C8—21no—
697C22×C8—21no—
698C22×C8—21no—
699C22×C8—21no—
700C22×C8—82no—
701C22×C8C2×D411yescharacteristic
702C22×C8C2×D411yescharacteristic
703C4⋊Q8—21no—
704C4⋊Q8—21no—
705C4⋊Q8—21no—
706C4⋊Q8C2411yescharacteristic
707C4⋊Q8C2411yescharacteristic
708C4⋊Q8C2411yescharacteristic
709C4⋊Q8C2411yescharacteristic
710C4⋊Q8C2411yescharacteristic
711C4⋊Q8C2411yescharacteristic
712#127—21no—
713#127C2411yescharacteristic
714#127C2411yescharacteristic
715#126—21no—
716#126—41no—
717#126—41no—
718#126—41no—
719#126—41no—
720#126—41no—
721#126—41no—
722#126—41no—
723#126—41no—
724#125—21no—
725#125—21no—
726#125—21no—
727#125—21no—
728#125—21no—
729#125—21no—
730#125—41no—
731#125—41no—
732#125—41no—
733#125—41no—
734#125—41no—
735#125C2×D411yescharacteristic
736#124—21no—
737#124—21no—
738#124—21no—
739#124—21no—
740#124—21no—
741#124—21no—
742#124—41no—
743#124—41no—
744#124—41no—
745#124—41no—
746#124—41no—
747#124C2×D411yescharacteristic
748#123—21no—
749#123—41no—
750#123—41no—
751#123—41no—
752#123—41no—
753#123—41no—
754#123—41no—
755#123—41no—
756#123—41no—
757#123—41no—
758#123—41no—
759#123—41no—
760#123—41no—
761#123—41no—
762#123—41no—
763C22⋊Q8—21no—
764C22⋊Q8—21no—
765C22⋊Q8—21no—
766C22⋊Q8—21no—
767C22⋊Q8—21no—
768C22⋊Q8—21no—
769C22⋊Q8—21no—
770C22⋊Q8—21no—
771C22⋊Q8—21no—
772C22⋊Q8—21no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8C2×D411yescharacteristic
785#121—21no—
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—21no—
797#121—21no—
798#121—21no—
799#121—41no—
800#121—41no—
801#121—41no—
802#121—41no—
803#121—41no—
804#121—41no—
805#121—41no—
806#121C2×D411yescharacteristic
807#120—41no—
808#120—41no—
809#120—41no—
810#120—41no—
811#120—41no—
812#120—41no—
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×Q8C2×D411yescharacteristic
822C4×Q8C2×D411yescharacteristic
823C4×Q8C2411yescharacteristic
824C4×Q8C2411yescharacteristic
825C4×Q8C2411yescharacteristic
826C4×D4—21no—
827C4×D4—21no—
828C4×D4—21no—
829C4×D4—21no—
830C4×D4—21no—
831C4×D4—21no—
832C4×D4—21no—
833C4×D4—21no—
834C4×D4—21no—
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—41no—
846C4×D4—41no—
847C4×D4—41no—
848C4×D4—41no—
849C4×D4—41no—
850C4×D4—41no—
851C4×D4—41no—
852C4×D4—41no—
853C4×D4—41no—
854C4×D4—41no—
855C4×D4C2×D411yescharacteristic
856C4×D4C2×D411yescharacteristic
857C4×D4C2×D411yescharacteristic
858C4×D4C2×D411yescharacteristic
859C4×D4C2411yescharacteristic
860C4×D4C2411yescharacteristic
861C4×D4C2411yescharacteristic
862C4×D4C2411yescharacteristic
863C4×D4C2411yescharacteristic
864#117—21no—
865#117—21no—
866#117—21no—
867#117—21no—
868#117—21no—
869#117—21no—
870#117—21no—
871#117—21no—
872#117—21no—
873#117—41no—
874#117—41no—
875#117—41no—
876#117—41no—
877#117—41no—
878#117—41no—
879#117C2×D411yescharacteristic
880#117C2×D411yescharacteristic
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—41no—
888C2×C4⋊C4—41no—
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C22⋊C4—21no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C42—21no—
897C2×C42—21no—
898C2×C42—41no—
899C2×C42C2411yescharacteristic
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—41no—
911#107—41no—
912#107C2×D411yescharacteristic
913#107C2×D411yescharacteristic
914#107C2×D411yescharacteristic
915#107C2×D411yescharacteristic
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#106—21no—
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930#106C2×D411yescharacteristic
931#106C2×D411yescharacteristic
932C4⋊C8—21no—
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⋊C8C2×D411yescharacteristic
942C4⋊C8C2×D411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
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—41no—
978#103—41no—
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
982#103C2×D411yescharacteristic
983#103C2×D411yescharacteristic
984#103C2×D411yescharacteristic
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
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
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⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8C2×D411yescharacteristic
1035C22⋊C8C2×D411yescharacteristic
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040#97—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8C2×D411yescharacteristic
1045C4×C8C2×D411yescharacteristic
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—41no—
1058#41—41no—
1059#41—42no—
1060#41—42no—
1061#41—42no—
1062#41—42no—
1063#41—42no—
1064#41—42no—
1065#41—81no—
1066#41—81no—
1067#41—84no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—84no—
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—42no—
1082C2×Q8—81no—
1083C2×Q8—81no—
1084C2×Q8—81no—
1085C2×Q8C22×D411yescharacteristic
1086C2×Q8C22×D411yescharacteristic
1087C2×Q8C22×D411yescharacteristic
1088C2×D4—22no—
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—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
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
1125C2×D4C22×D411yescharacteristic
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—42no—
1141C22×C4—42no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—84no—
1153C22×C4C22×D411yescharacteristic
1154C22×C4C22×D411yescharacteristic
1155C22×C4H(5,𝔽2)11yescharacteristic
1156Q16—41no—
1157Q16—81no—
1158Q16—81no—
1159Q16—81no—
1160SD16—22no—
1161SD16—22no—
1162SD16—41no—
1163SD16—41no—
1164SD16—42no—
1165SD16—42no—
1166SD16—42no—
1167SD16—81no—
1168SD16—81no—
1169SD16—81no—
1170SD16—82no—
1171SD16—82no—
1172SD16—81no—
1173SD16—81no—
1174SD16—81no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178D8—22no—
1179D8—22no—
1180D8—41no—
1181D8—42no—
1182D8—42no—
1183D8—81no—
1184D8—81no—
1185D8—81no—
1186D8—81no—
1187D8—81no—
1188M16—42no—
1189M16—42no—
1190M16—81no—
1191M16—81no—
1192M16—81no—
1193M16—81no—
1194C2×C8—21no—
1195C2×C8—21no—
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—41no—
1205C2×C8—41no—
1206C2×C8—42no—
1207C2×C8—81no—
1208C2×C8—81no—
1209C2×C8—81no—
1210C2×C8—81no—
1211C2×C8—81no—
1212C2×C8—81no—
1213C2×C8—81no—
1214C2×C8C22×D411yescharacteristic
1215C2×C8C22×D411yescharacteristic
1216C2×C8C22×D411yescharacteristic
1217C2×C8C22×D411yescharacteristic
1218C2×C8C22×D411yescharacteristic
1219C2×C8C22×D411yescharacteristic
1220C2×C8C22×D411yescharacteristic
1221C2×C8C22×D411yescharacteristic
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—21no—
1284C22⋊C4—21no—
1285C22⋊C4—21no—
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—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C42—21no—
1313C42—21no—
1314C42—21no—
1315C42—21no—
1316C42—21no—
1317C42—21no—
1318C42—21no—
1319C42—41no—
1320C42—41no—
1321C42—41no—
1322C42—41no—
1323C42—41no—
1324C42—41no—
1325C42C22×D411yescharacteristic
1326C42C22×D411yescharacteristic
1327C42H(5,𝔽2)11yescharacteristic
1328C42C2511yescharacteristic
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—42no—
1335C23—42no—
1336C23—41no—
1337C23—41no—
1338C23—81no—
1339C23—82no—
1340C23—82no—
1341C23—82no—
1342C23—161no—
1343C23—161no—
1344C23—161no—
1345C23D4211yescharacteristic
1346Q8—21no—
1347Q8—21no—
1348Q8—21no—
1349Q8—21no—
1350Q8—21no—
1351Q8—21no—
1352Q8—41no—
1353Q8—41no—
1354Q8—41no—
1355Q8—41no—
1356Q8—41no—
1357Q8—41no—
1358Q8—41no—
1359Q8—41no—
1360Q8—81no—
1361Q8—81no—
1362Q8—82no—
1363Q8—161no—
1364D4—21no—
1365D4—21no—
1366D4—21no—
1367D4—21no—
1368D4—21no—
1369D4—21no—
1370D4—21no—
1371D4—21no—
1372D4—42no—
1373D4—42no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—81no—
1383D4—81no—
1384D4—81no—
1385D4—81no—
1386D4—82no—
1387D4—82no—
1388D4—82no—
1389D4—82no—
1390D4—82no—
1391D4—82no—
1392D4—82no—
1393D4—82no—
1394D4—161no—
1395D4—161no—
1396D4—161no—
1397D4—161no—
1398D4#57512yes—
1399D4#57712yes—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—41no—
1416C2×C4—42no—
1417C2×C4—42no—
1418C2×C4—42no—
1419C2×C4—42no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—81no—
1437C2×C4—81no—
1438C2×C4—81no—
1439C2×C4—82no—
1440C2×C4—82no—
1441C2×C4—82no—
1442C2×C4—82no—
1443C2×C4—82no—
1444C2×C4—82no—
1445C2×C4—161no—
1446C2×C4—161no—
1447C2×C4—161no—
1448C2×C4—161no—
1449C2×C4—161no—
1450C2×C4—161no—
1451C2×C4D4211yescharacteristic
1452C2×C4D4211yescharacteristic
1453C2×C4D4211yescharacteristic
1454C2×C4C23×D411yescharacteristic
1455C2×C4C23×D411yescharacteristic
1456C2×C4C2×H(5,𝔽2)11yescharacteristic
1457C8—22no—
1458C8—21no—
1459C8—21no—
1460C8—21no—
1461C8—21no—
1462C8—21no—
1463C8—21no—
1464C8—21no—
1465C8—21no—
1466C8—41no—
1467C8—41no—
1468C8—41no—
1469C8—41no—
1470C8—41no—
1471C8—41no—
1472C8—41no—
1473C8—41no—
1474C8—41no—
1475C22—21no—
1476C22—22no—
1477C22—21no—
1478C22—22no—
1479C22—21no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—84no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—164no—
1501C22—322no—
1502C22C2×D4211yescharacteristic
1503C4—21no—
1504C4—21no—
1505C4—21no—
1506C4—21no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—81no—
1519C4—81no—
1520C4—81no—
1521C4—81no—
1522C4—81no—
1523C4—81no—
1524C4C2×#57511yescharacteristic
1525C4C2×#57711yescharacteristic
1526C4#358411yescharacteristic
1527C4#358511yescharacteristic
1528C2—41no—
1529C2—42no—
1530C2—42no—
1531C2—81no—
1532C2—81no—
1533C2—81no—
1534C2—161no—
1535C2—161no—
1536C2#6105511yescharacteristic
1537C2#6106611yescharacteristic
1538C2#6110511yescharacteristic
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. #62152C2semidirect
2. #61989C2semidirect
3. #61493C2semidirect
4. #61124C2semidirect
5. #20147C2semidirect
6. #20142C2semidirect
7. #20115C2semidirect
8. #20113C2semidirect
9. #20041C2semidirect
10. #20038C2semidirect
11. #20026C2semidirect
12. #20022C2semidirect
13. #19998C2semidirect
14. #19988C2semidirect
15. #19978C2semidirect
16. #19976C2semidirect
17. #19949C2semidirect
18. #19946C2semidirect
19. #19916C2semidirect
20. #19914C2semidirect
21. #19649C2semidirect
22. #19492C2semidirect
23. #19487C2semidirect
24. #19366C2semidirect
25. #19254C2semidirect
26. #18596C2semidirect
27. #18595C2semidirect
28. #18560C2semidirect
29. #18555C2semidirect
30. #18057C2semidirect
31. #17910C2semidirect
32. #3515C22semidirect
34. #3475C22semidirect
36. #3400C22semidirect
39. #3384C22semidirect
40. #3381C22semidirect
44. #3364C22semidirect
45. #3361C22semidirect
46. #3360C22semidirect
47. #3359C22semidirect
48. #3357C22semidirect
49. #3356C22semidirect
50. #3354C22semidirect
54. #3331C22semidirect
60. #3305C22semidirect
61. #3304C22semidirect
65. #3302C22semidirect
68. #3299C22semidirect
70. #3298C22semidirect
75. #3295C22semidirect
80. #3272C22semidirect
85. #3252C22semidirect
89. #3231C22semidirect
92. #3182C22semidirect
93. #3182C22semidirect
95. #3167C22semidirect
96. #3131C22semidirect
100. #3115C22semidirect
106. #3077C22semidirect
110. #3035C22semidirect
113. #2991C22semidirect
115. #2966C22semidirect
118. C2×C8×D4C22semidirect
120. #1718C22semidirect
121. #1717C22semidirect
122. #1714C22semidirect
123. #1714C22semidirect
124. #1711C22semidirect
125. #1710C22semidirect
126. #1708C22semidirect
127. #1706C22semidirect
128. #1704C22semidirect
129. #1704C22semidirect
130. #1703C22semidirect
131. #1702C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1700C22semidirect
135. #1699C22semidirect
136. #1696C22semidirect
137. #1692C22semidirect
138. #1687C22semidirect
139. #1685C22semidirect
140. #1683C22semidirect
141. #1682C22semidirect
142. #1680C22semidirect
143. #1680C22semidirect
144. #1679C22semidirect
145. #1679C22semidirect
146. #1679C22semidirect
147. #1679C22semidirect
148. #1678C22semidirect
150. #1677C22semidirect
151. #1677C22semidirect
152. #1675C22semidirect
153. #1671C22semidirect
154. #1671C22semidirect
155. #1671C22semidirect
156. #1668C22semidirect
157. #1666C22semidirect
159. #1665C22semidirect
160. #1650C22semidirect
161. #1650C22semidirect
162. #1649C22semidirect
163. #1649C22semidirect
164. #1648C22semidirect
166. #1647C22semidirect
167. #1647C22semidirect
168. #1646C22semidirect
169. #1644C22semidirect
170. #1643C22semidirect
171. #1643C22semidirect
172. #1641C22semidirect
173. #1640C22semidirect
175. #1639C22semidirect
176. #1638C22semidirect
177. #1637C22semidirect
178. #1637C22semidirect
180. #1631C22semidirect
181. #1630C22semidirect
183. #1629C22semidirect
184. #1628C22semidirect
185. #1626C22semidirect
187. #1625C22semidirect
188. #1624C22semidirect
190. #1622C22semidirect
191. #1622C22semidirect
192. #1590C22semidirect
193. #1590C22semidirect
194. #1587C22semidirect
195. #1587C22semidirect
197. #1586C22semidirect
198. #1586C22semidirect
199. #1586C22semidirect
200. #1585C22semidirect
201. #1585C22semidirect
202. C8×SD16C22semidirect
203. C8×SD16C22semidirect
204. C8×SD16C22semidirect
205. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1566C22semidirect
210. #1559C22semidirect
211. #1557C22semidirect
212. #1550C22semidirect
213. #1547C22semidirect
214. #1490C22semidirect
216. #1489C22semidirect
217. #1483C22semidirect
218. C8×M16C22semidirect

Maximal subgroups

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

subgroupindex
#621522
#619892
#614932
#611242
#201472
#201422
#201152
#201132
#200412
#200382
#200262
#200222
#199982
#199882
#199782
#199762
#199492
#199462
#199162
#199142
#196492
#194922
#194872
#193662
#192542
#185962
#185952
#185602
#185552
#180572
#179102