Finite Group Databasebeta

← #6369297

Subgroups — #6369297

Order 512.

1619 conjugacy classes of subgroups.

The subgroup lattice has 1544 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61998C211yesmaximal, characteristic, complemented
2#61733C211yesmaximal, characteristic, complemented
3#61461C211yesmaximal, characteristic, complemented
4#61199C211yesmaximal, characteristic, complemented
5#20291C211yesmaximal, characteristic, complemented
6#20267C211yesmaximal, characteristic, complemented
7#20242C211yesmaximal, characteristic, complemented
8#20179C211yesmaximal, characteristic, complemented
9#20161C211yesmaximal, characteristic, complemented
10#20140C211yesmaximal, characteristic, complemented
11#20133C211yesmaximal, characteristic, complemented
12#20056C211yesmaximal, characteristic, complemented
13#20025C211yesmaximal, characteristic, complemented
14#19990C211yesmaximal, characteristic, complemented
15#19913C211yesmaximal, characteristic, complemented
16#19899C211yesmaximal, characteristic, complemented
17#19878C211yesmaximal, characteristic, complemented
18#19794C211yesmaximal, characteristic, complemented
19#19777C211yesmaximal, characteristic, complemented
20#19772C211yesmaximal, characteristic, complemented
21#19716C211yesmaximal, characteristic, complemented
22#19498C211yesmaximal, characteristic, complemented
23#19459C211yesmaximal, characteristic, complemented
24#19371C211yesmaximal, characteristic, complemented
25#19319C211yesmaximal, characteristic, complemented
26#18846C211yesmaximal, characteristic, complemented
27#18833C211yesmaximal, characteristic, complemented
28#18804C211yesmaximal, characteristic, complemented
29#18784C211yesmaximal, characteristic, complemented
30#18052C211yesmaximal, characteristic, complemented
31#18007C211yesmaximal, characteristic, complemented
32#3511C2211yescharacteristic
33#3496C2211yescharacteristic
34#3482C2211yescharacteristic, complemented
35#3475C2211yescharacteristic
36#3398C2211yescharacteristic, complemented
37#3393C2211yescharacteristic, complemented
38#3393C2211yescharacteristic, complemented
39#3384C2211yescharacteristic, complemented
40#3372C2211yescharacteristic, complemented
41#3367C2211yescharacteristic, complemented
42#3364C2211yescharacteristic, complemented
43#3364C2211yescharacteristic, complemented
44#3354C2211yescharacteristic
45#3353C2211yescharacteristic
46#3349—21no—
47#3345—21no—
48#3343—21no—
49#3340C2211yescharacteristic, complemented
50#3335C2211yescharacteristic
51#3334C2211yescharacteristic
52#3330C2211yescharacteristic
53#3330C2211yescharacteristic
54#3330C2211yescharacteristic, complemented
55#3330C2211yescharacteristic, complemented
56#3327—21no—
57#3327—21no—
58#3325C2211yescharacteristic
59#3324C2211yescharacteristic
60#3324C2211yescharacteristic
61#3324C2211yescharacteristic
62#3319—21no—
63#3319—21no—
64#3318—21no—
65#3315—21no—
66#3314—21no—
67#3314—21no—
68#3311—21no—
69#3310—21no—
70#3303C2211yescharacteristic, complemented
71#3302C2211yescharacteristic
72#3302C2211yescharacteristic
73#3302C2211yescharacteristic, complemented
74#3295C2211yescharacteristic
75#3294C2211yescharacteristic
76#3294C2211yescharacteristic
77#3294C2211yescharacteristic
78#3283C2211yescharacteristic, complemented
79#3277—21no—
80#3277—21no—
81#3276C2211yescharacteristic, complemented
82#3276C2211yescharacteristic, complemented
83#3267—21no—
84#3254C2211yescharacteristic
85#3252—21no—
86#3235C2211yescharacteristic
87#3229C2211yescharacteristic, complemented
88#3228C2211yescharacteristic
89#3228C2211yescharacteristic
90#3212—21no—
91#3209C2211yescharacteristic, complemented
92#3194—21no—
93#3188—21no—
94#3185C2211yescharacteristic, complemented
95#3181—21no—
96#3141C2211yescharacteristic
97#3116—21no—
98#3116C2211yescharacteristic, complemented
99#3115C2211yescharacteristic
100#3111—21no—
101#3110C2211yescharacteristic
102#3106C2211yescharacteristic
103#3104—21no—
104#3098—21no—
105#3094—21no—
106C2×#482—21no—
107C2×#474C2211yescharacteristic
108#3061—21no—
109#3039C2211yescharacteristic, complemented
110#3037—21no—
111#3035C2211yescharacteristic
112#3012—21no—
113#2991C2211yescharacteristic, complemented
114#2974C2211yescharacteristic
115#2970C2211yescharacteristic, complemented
116C4×AGL(1,ℤ/8)C2211yescharacteristic
117#2943—21no—
118#2935C2211yescharacteristic
119#2897—21no—
120#1723C2211yescharacteristic, complemented
121#1720C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1720C2211yescharacteristic, complemented
124#1718C2211yescharacteristic, complemented
125#1716C2211yescharacteristic, complemented
126#1711C2211yescharacteristic, complemented
127#1707C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1700C2211yescharacteristic, complemented
133#1700C2211yescharacteristic, complemented
134#1699C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1693C2211yescharacteristic, complemented
139#1691C2211yescharacteristic, complemented
140#1691C2211yescharacteristic, complemented
141#1689C2211yescharacteristic, complemented
142#1689C2211yescharacteristic, complemented
143#1689C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1682C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1679C2211yescharacteristic, complemented
149#1679C2211yescharacteristic, complemented
150#1679C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1679C2211yescharacteristic, complemented
153#1678C2211yescharacteristic, complemented
154#1674C2211yescharacteristic, complemented
155#1672C2211yescharacteristic, complemented
156#1671C2211yescharacteristic, complemented
157#1669C2211yescharacteristic, complemented
158#1669C2211yescharacteristic, complemented
159#1669C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic
162#1654C2211yescharacteristic, complemented
163#1654C2211yescharacteristic, complemented
164#1654C2211yescharacteristic, complemented
165#1654C2211yescharacteristic, complemented
166#1652C2211yescharacteristic, complemented
167#1652C2211yescharacteristic, complemented
168#1652C2211yescharacteristic, complemented
169#1652C2211yescharacteristic, complemented
170#1652C2211yescharacteristic, complemented
171#1651C2211yescharacteristic, complemented
172#1648C2211yescharacteristic, complemented
173#1647C2211yescharacteristic
174#1647C2211yescharacteristic
175#1647C2211yescharacteristic, complemented
176#1646C2211yescharacteristic, complemented
177#1646C2211yescharacteristic, complemented
178#1644C2211yescharacteristic, complemented
179#1644C2211yescharacteristic, complemented
180#1639C2211yescharacteristic
181#1639C2211yescharacteristic
182#1639C2211yescharacteristic
183#1639C2211yescharacteristic
184#1638C2211yescharacteristic, complemented
185#1638C2211yescharacteristic, complemented
186#1635C2211yescharacteristic, complemented
187#1635C2211yescharacteristic, complemented
188#1628C2211yescharacteristic, complemented
189#1627C2211yescharacteristic, complemented
190#1626C2211yescharacteristic, complemented
191#1625C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1586C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1557C2211yescharacteristic
211#1556C2211yescharacteristic, complemented
212#1552C2211yescharacteristic, complemented
213#1550C2211yescharacteristic, complemented
214#1496C2211yescharacteristic
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic
217#1477C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C2×#137—21no—
221C2×#137—21no—
222C2×#137—21no—
223C2×AGL(1,ℤ/8)D411yescharacteristic
224C2×#135—21no—
225C2×#135—21no—
226C2×#131—21no—
227#557C2311yescharacteristic
228#556—21no—
229#556C2311yescharacteristic
230#556C2311yescharacteristic
231#556C2311yescharacteristic
232#556C2311yescharacteristic
233#555—21no—
234#555C2311yescharacteristic
235#554—21no—
236#554C2311yescharacteristic
237#553—21no—
238#553—41no—
239#552—21no—
240#552—21no—
241#552—21no—
242#552—41no—
243#551—41no—
244D4×Q8C2311yescharacteristic
245#548—21no—
246#548—21no—
247#548—21no—
248#547—21no—
249#547—21no—
250#547C2311yescharacteristic
251#547C2311yescharacteristic
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#546—21no—
257#546—21no—
258#546—21no—
259#546—41no—
260D42—21no—
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263#542—41no—
264#537—21no—
265#537—21no—
266#534—41no—
267#533—21no—
268#533—21no—
269#533C2311yescharacteristic
270#533C2311yescharacteristic
271#532—21no—
272#532C2311yescharacteristic
273#532C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275#529—21no—
276#529—21no—
277#529—41no—
278#529—41no—
279#525—21no—
280C2×#121—21no—
281C2×#121—21no—
282#520—21no—
283C4×#41—21no—
284C4×#41—21no—
285C4×#41C2311yescharacteristic
286C4×#41C2311yescharacteristic
287C2×C4×Q8—21no—
288C2×C4×D4C2311yescharacteristic
289C2×#117—21no—
290#501—21no—
291#501—21no—
292#500C2311yescharacteristic
293#500C2311yescharacteristic
294#498C2311yescharacteristic
295#498C2311yescharacteristic
296#498C2311yescharacteristic
297#498C2311yescharacteristic
298#498C2311yescharacteristic
299#497—21no—
300#495—21no—
301#495—21no—
302#494C2311yescharacteristic
303#494C2311yescharacteristic
304#494C2311yescharacteristic
305#491—21no—
306#490—21no—
307#489—21no—
308#489—21no—
309#489—21no—
310#488—21no—
311#488—21no—
312#487C2311yescharacteristic
313#487C2311yescharacteristic
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#486C2311yescharacteristic
321#486C2311yescharacteristic
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#485—21no—
327#485—21no—
328#485—21no—
329#485—21no—
330#485—21no—
331#485—21no—
332#484—21no—
333#484—21no—
334#484—21no—
335#484—21no—
336#484—21no—
337#484—21no—
338#483—21no—
339#483—41no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#482—21no—
350#482—21no—
351#482—21no—
352#482—41no—
353#482D411yescharacteristic
354#482D411yescharacteristic
355#481—21no—
356#481—21no—
357#481—21no—
358#480—21no—
359#480—21no—
360#480—21no—
361#480—21no—
362#480—21no—
363#479—21no—
364#479—21no—
365#479—21no—
366#478—21no—
367#478—21no—
368#478—21no—
369#478—41no—
370#477—21no—
371#477—21no—
372#477D411yescharacteristic
373#477C2311yescharacteristic
374#476—21no—
375#476D411yescharacteristic
376#476C2311yescharacteristic
377#476C2311yescharacteristic
378#476C2311yescharacteristic
379#475—41no—
380#475C2311yescharacteristic
381#474—21no—
382#474—21no—
383#474C2311yescharacteristic
384#474C2311yescharacteristic
385#474C2311yescharacteristic
386#474C2311yescharacteristic
387#474C2311yescharacteristic
388#474C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#474C2311yescharacteristic
393#474C2311yescharacteristic
394#470—21no—
395#470—21no—
396#470—21no—
397#470—21no—
398#469—21no—
399#469—21no—
400#468—21no—
401#468—21no—
402#468—21no—
403#468—21no—
404#468—21no—
405#468—21no—
406#468—21no—
407#468—21no—
408#468—21no—
409#468—21no—
410#467—21no—
411#467—21no—
412#467—21no—
413#467—21no—
414#466—21no—
415#466—21no—
416#466—21no—
417#466—21no—
418#465—21no—
419#465—21no—
420#465—21no—
421#465—21no—
422#464—21no—
423#464—21no—
424#464—21no—
425#464—21no—
426#464—21no—
427#464—21no—
428#464—21no—
429#464—21no—
430#463—21no—
431#463—21no—
432#462—21no—
433#462—21no—
434#462—21no—
435#462—21no—
436#462C2311yescharacteristic
437#462C2311yescharacteristic
438#462C2311yescharacteristic
439#462C2311yescharacteristic
440#461—21no—
441#461—21no—
442#461C2311yescharacteristic
443#461C2311yescharacteristic
444#461C2311yescharacteristic
445#461C2311yescharacteristic
446#461C2311yescharacteristic
447#461C2311yescharacteristic
448#461C2311yescharacteristic
449#461C2311yescharacteristic
450#460—21no—
451#460D411yescharacteristic
452#460C2311yescharacteristic
453#460C2311yescharacteristic
454#459D411yescharacteristic
455#459C2311yescharacteristic
456#459C2311yescharacteristic
457#452—21no—
458#452—21no—
459#452—21no—
460#452—21no—
461#452—21no—
462#452—21no—
463#452—21no—
464#452—21no—
465#451—21no—
466#451—21no—
467#451—21no—
468#451—21no—
469#450—21no—
470#450—21no—
471#450—21no—
472#450—21no—
473#450—21no—
474#449—21no—
475#449—21no—
476#449—21no—
477#449—21no—
478#449—21no—
479#449—21no—
480#449D411yescharacteristic
481#449D411yescharacteristic
482#447—21no—
483#447—21no—
484#447—21no—
485#447—21no—
486#446C2311yescharacteristic
487#446C2311yescharacteristic
488C8×Q8C2311yescharacteristic
489C8×Q8C2311yescharacteristic
490#442—21no—
491#442—21no—
492#442D411yescharacteristic
493#442D411yescharacteristic
494#441—21no—
495#441—21no—
496#441—21no—
497#441—21no—
498#440—21no—
499#440—21no—
500#440—21no—
501#440—21no—
502#440—21no—
503#440—21no—
504#440D411yescharacteristic
505#440D411yescharacteristic
506C4×Q16—21no—
507C4×Q16—21no—
508C4×Q16—21no—
509C4×Q16—21no—
510C4×SD16C2311yescharacteristic
511C4×SD16C2311yescharacteristic
512C4×SD16C2311yescharacteristic
513C4×SD16C2311yescharacteristic
514C4×D8C2311yescharacteristic
515C4×D8C2311yescharacteristic
516C4×D8C2311yescharacteristic
517C4×D8C2311yescharacteristic
518#436—21no—
519#436—21no—
520#436C2311yescharacteristic
521#436C2311yescharacteristic
522#436C2311yescharacteristic
523#436C2311yescharacteristic
524#436C2311yescharacteristic
525#436C2311yescharacteristic
526#435—21no—
527#435—21no—
528#435—21no—
529#435—21no—
530#435—21no—
531#435—21no—
532C8×D4C2311yescharacteristic
533C8×D4C2311yescharacteristic
534C8×D4C2311yescharacteristic
535C8×D4C2311yescharacteristic
536C8×D4C2311yescharacteristic
537C8×D4C2311yescharacteristic
538#432—21no—
539#432C2311yescharacteristic
540#432C2311yescharacteristic
541#431—21no—
542#431C2311yescharacteristic
543#431C2311yescharacteristic
544#428—21no—
545#428—21no—
546#428D411yescharacteristic
547#427—21no—
548C2×#107—21no—
549C2×#107—21no—
550C2×#106—21no—
551#423—21no—
552#423C2311yescharacteristic
553C2×C4⋊C8C2311yescharacteristic
554#419—21no—
555#418—21no—
556#418—21no—
557#418—21no—
558#418—21no—
559#418D411yescharacteristic
560#417—21no—
561#417—21no—
562#417—21no—
563#417—21no—
564#417—21no—
565#417—21no—
566#417D411yescharacteristic
567#416—21no—
568#416—21no—
569#416—21no—
570#416—21no—
571#416—21no—
572C2×#102—21no—
573C2×#102—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577#408—21no—
578#407—21no—
579C2×C22⋊C8—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#332C2311yescharacteristic
601#332C2311yescharacteristic
602#332C2311yescharacteristic
603#332C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610D4⋊C8C2311yescharacteristic
611D4⋊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
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—21no—
635C2×#41—21no—
636C2×#41—41no—
637C2×#41C2×D411yescharacteristic
638C2×#41C2×D411yescharacteristic
639C22×Q8—21no—
640C22×Q8—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—41no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4C2×D411yescharacteristic
649C23×C4—21no—
650#137—82no—
651#137—82no—
652#137—82no—
653AGL(1,ℤ/8)—42no—
654#135—44no—
655#135—82no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16—21no—
661C2×Q16—21no—
662C2×Q16—21no—
663C2×Q16—21no—
664C2×Q16—21no—
665C2×Q16—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×SD16C2×D411yescharacteristic
677C2×SD16C2×D411yescharacteristic
678C2×SD16C2×D411yescharacteristic
679C2×SD16C2×D411yescharacteristic
680C2×D8—21no—
681C2×D8—21no—
682C2×D8C2×D411yescharacteristic
683C2×D8C2×D411yescharacteristic
684C2×D8C2×D411yescharacteristic
685C2×D8C2×D411yescharacteristic
686#131—82no—
687C2×M16—21no—
688C2×M16—21no—
689C2×M16—21no—
690C2×M16—21no—
691C2×M16—21no—
692C2×M16—21no—
693C2×M16—21no—
694C2×M16C2×D411yescharacteristic
695C2×M16C2×D411yescharacteristic
696C22×C8—21no—
697C22×C8—21no—
698C22×C8—21no—
699C22×C8—21no—
700C22×C8—21no—
701C22×C8—21no—
702C22×C8—21no—
703C4⋊Q8—21no—
704C4⋊Q8—21no—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—21no—
708C4⋊Q8C2×D411yescharacteristic
709C4⋊Q8C2411yescharacteristic
710C4⋊Q8C2411yescharacteristic
711C4⋊Q8C2411yescharacteristic
712C4⋊Q8C2411yescharacteristic
713C4⋊Q8C2411yescharacteristic
714C4⋊Q8C2411yescharacteristic
715C4⋊Q8C2411yescharacteristic
716#127C2×D411yescharacteristic
717#127C2411yescharacteristic
718#126—41no—
719#126—41no—
720#126—41no—
721#126—41no—
722#126—41no—
723#126—41no—
724#126—41no—
725#126—41no—
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#124—21no—
735#124—21no—
736#124—21no—
737#124—21no—
738#124—21no—
739#124—21no—
740#124—41no—
741#124—41no—
742#124—41no—
743#124—41no—
744#123—41no—
745#123—41no—
746#123—41no—
747#123—41no—
748#123—41no—
749#123—41no—
750#123—41no—
751#123—41no—
752#123—41no—
753#123—41no—
754#123—41no—
755#123—41no—
756#123—41no—
757C22⋊Q8—21no—
758C22⋊Q8—21no—
759C22⋊Q8—21no—
760C22⋊Q8—21no—
761C22⋊Q8—21no—
762C22⋊Q8—21no—
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—41no—
774C22⋊Q8—41no—
775C22⋊Q8—41no—
776C22⋊Q8—41no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780#121—21no—
781#121—21no—
782#121—21no—
783#121—21no—
784#121—21no—
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—41no—
796#121—41no—
797#121—41no—
798#121—41no—
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#121C2×D411yescharacteristic
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×Q8—21no—
822C4×Q8—21no—
823C4×Q8—41no—
824C4×Q8—41no—
825C4×Q8—41no—
826C4×Q8C2×D411yescharacteristic
827C4×Q8C2×D411yescharacteristic
828C4×Q8C2411yescharacteristic
829C4×Q8C2411yescharacteristic
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—41no—
842C4×D4—41no—
843C4×D4—41no—
844C4×D4—41no—
845C4×D4—41no—
846C4×D4—41no—
847C4×D4—41no—
848C4×D4—41no—
849C4×D4—41no—
850C4×D4C2×D411yescharacteristic
851C4×D4C2×D411yescharacteristic
852C4×D4C2×D411yescharacteristic
853C4×D4C2×D411yescharacteristic
854C4×D4C2411yescharacteristic
855C4×D4C2411yescharacteristic
856C4×D4C2411yescharacteristic
857C4×D4C2411yescharacteristic
858C4×D4C2411yescharacteristic
859C4×D4C2411yescharacteristic
860#117—21no—
861#117—21no—
862#117—21no—
863#117—21no—
864#117—21no—
865#117—21no—
866#117—21no—
867#117—21no—
868#117—21no—
869#117—21no—
870#117—41no—
871#117—41no—
872#117—41no—
873#117—41no—
874#117—41no—
875#117—41no—
876#117C2×D411yescharacteristic
877#117C2×D411yescharacteristic
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
889C2×C22⋊C4—21no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C42—21no—
894C2×C42—21no—
895C2×C42—41no—
896C2×C42—41no—
897C2×C42C2411yescharacteristic
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—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—21no—
924#106—21no—
925#106—41no—
926#106—41no—
927#106—41no—
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⋊C8C2×D411yescharacteristic
940C4⋊C8C2×D411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949#103—21no—
950#103—21no—
951#103—21no—
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—21no—
975#103—41no—
976#103—41no—
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
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—41no—
1008#102—41no—
1009#102C2×D411yescharacteristic
1010#102C2×D411yescharacteristic
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
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⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8C2×D411yescharacteristic
1037C22⋊C8C2×D411yescharacteristic
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—21no—
1053C24—41no—
1054C24—41no—
1055#41—42no—
1056#41—42no—
1057#41—41no—
1058#41—41no—
1059#41—41no—
1060#41—41no—
1061#41—42no—
1062#41—42no—
1063#41—42no—
1064#41—42no—
1065#41—42no—
1066#41—42no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075#41—84no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—41no—
1085C2×Q8—41no—
1086C2×Q8—42no—
1087C2×Q8—81no—
1088C2×Q8—81no—
1089C2×Q8—81no—
1090C2×Q8C22×D411yescharacteristic
1091C2×Q8C22×D411yescharacteristic
1092C2×D4—22no—
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—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—84no—
1125C2×D4—84no—
1126C2×D4—84no—
1127C2×D4C22×D411yescharacteristic
1128C2×D4C22×D411yescharacteristic
1129C2×D4C22×D411yescharacteristic
1130C2×D4C22×D411yescharacteristic
1131C2×D4C22×D411yescharacteristic
1132C2×D4C22×D411yescharacteristic
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—81no—
1157C22×C4—81no—
1158C22×C4C22×D411yescharacteristic
1159C22×C4C22×D411yescharacteristic
1160C22×C4H(5,𝔽2)11yescharacteristic
1161Q16—42no—
1162Q16—42no—
1163Q16—42no—
1164Q16—81no—
1165Q16—81no—
1166Q16—81no—
1167Q16—81no—
1168Q16—81no—
1169Q16—81no—
1170Q16—81no—
1171SD16—22no—
1172SD16—41no—
1173SD16—41no—
1174SD16—41no—
1175SD16—42no—
1176SD16—42no—
1177SD16—81no—
1178SD16—81no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182SD16—81no—
1183SD16—81no—
1184SD16—81no—
1185D8—22no—
1186D8—41no—
1187D8—41no—
1188D8—41no—
1189D8—81no—
1190D8—81no—
1191M16—41no—
1192M16—41no—
1193M16—81no—
1194M16—81no—
1195M16—81no—
1196M16—81no—
1197M16—81no—
1198M16—81no—
1199M16—81no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—42no—
1211C2×C8—42no—
1212C2×C8—81no—
1213C2×C8—81no—
1214C2×C8—81no—
1215C2×C8—81no—
1216C2×C8—81no—
1217C2×C8C22×D411yescharacteristic
1218C2×C8C22×D411yescharacteristic
1219C2×C8C22×D411yescharacteristic
1220C2×C8C22×D411yescharacteristic
1221C2×C8C22×D411yescharacteristic
1222C2×C8C22×D411yescharacteristic
1223C2×C8C22×D411yescharacteristic
1224C2×C8C22×D411yescharacteristic
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
1234C4⋊C4—21no—
1235C4⋊C4—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4C22×D411yescharacteristic
1268C4⋊C4C22×D411yescharacteristic
1269C4⋊C4C22×D411yescharacteristic
1270C4⋊C4C22×D411yescharacteristic
1271C4⋊C4C22×D411yescharacteristic
1272C4⋊C4C22×D411yescharacteristic
1273C4⋊C4C22×D411yescharacteristic
1274C4⋊C4C22×D411yescharacteristic
1275C22⋊C4—21no—
1276C22⋊C4—21no—
1277C22⋊C4—21no—
1278C22⋊C4—21no—
1279C22⋊C4—21no—
1280C22⋊C4—21no—
1281C22⋊C4—21no—
1282C22⋊C4—21no—
1283C22⋊C4—21no—
1284C22⋊C4—21no—
1285C22⋊C4—21no—
1286C22⋊C4—21no—
1287C22⋊C4—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—41no—
1320C42—41no—
1321C42—41no—
1322C42—41no—
1323C42—41no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42C22×D411yescharacteristic
1328C42C22×D411yescharacteristic
1329C42H(5,𝔽2)11yescharacteristic
1330C42C2511yescharacteristic
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—42no—
1338C23—41no—
1339C23—81no—
1340C23—81no—
1341C23—82no—
1342C23—82no—
1343C23—161no—
1344C23—161no—
1345C23—161no—
1346C23—161no—
1347C23D4211yescharacteristic
1348Q8—21no—
1349Q8—21no—
1350Q8—21no—
1351Q8—21no—
1352Q8—42no—
1353Q8—41no—
1354Q8—41no—
1355Q8—41no—
1356Q8—41no—
1357Q8—41no—
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361Q8—41no—
1362Q8—41no—
1363Q8—41no—
1364Q8—41no—
1365Q8—81no—
1366Q8—82no—
1367Q8—161no—
1368D4—21no—
1369D4—21no—
1370D4—21no—
1371D4—21no—
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—81no—
1388D4—81no—
1389D4—81no—
1390D4—81no—
1391D4—82no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—161no—
1399D4—161no—
1400D4—161no—
1401D4—161no—
1402D4—161no—
1403D4#57512yes—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—41no—
1419C2×C4—42no—
1420C2×C4—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—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—81no—
1440C2×C4—81no—
1441C2×C4—81no—
1442C2×C4—81no—
1443C2×C4—81no—
1444C2×C4—82no—
1445C2×C4—81no—
1446C2×C4—82no—
1447C2×C4—82no—
1448C2×C4—82no—
1449C2×C4—82no—
1450C2×C4—82no—
1451C2×C4—161no—
1452C2×C4—161no—
1453C2×C4—161no—
1454C2×C4—161no—
1455C2×C4D4211yescharacteristic
1456C2×C4D4211yescharacteristic
1457C2×C4D4211yescharacteristic
1458C2×C4C23×D411yescharacteristic
1459C2×C4C23×D411yescharacteristic
1460C2×C4C2×H(5,𝔽2)11yescharacteristic
1461C8—21no—
1462C8—21no—
1463C8—21no—
1464C8—21no—
1465C8—21no—
1466C8—21no—
1467C8—21no—
1468C8—21no—
1469C8—41no—
1470C8—41no—
1471C8—41no—
1472C8—41no—
1473C8—41no—
1474C8—41no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C22—21no—
1480C22—22no—
1481C22—21no—
1482C22—21no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
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—162no—
1504C22—322no—
1505C22—322no—
1506C22C2×D4211yescharacteristic
1507C4—21no—
1508C4—21no—
1509C4—21no—
1510C4—21no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—81no—
1522C4—81no—
1523C4—81no—
1524C4—81no—
1525C4—81no—
1526C4—81no—
1527C4—81no—
1528C4C2×#57511yescharacteristic
1529C4#358411yescharacteristic
1530C4#358511yescharacteristic
1531C4#358511yescharacteristic
1532C2—41no—
1533C2—42no—
1534C2—81no—
1535C2—81no—
1536C2—81no—
1537C2—81no—
1538C2—81no—
1539C2—161no—
1540C2#6106611yescharacteristic
1541C2#6107411yescharacteristic
1542C2#6110811yescharacteristic
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. #61998C2semidirect
2. #61733C2semidirect
3. #61461C2semidirect
4. #61199C2semidirect
5. #20291C2semidirect
6. #20267C2semidirect
7. #20242C2semidirect
8. #20179C2semidirect
9. #20161C2semidirect
10. #20140C2semidirect
11. #20133C2semidirect
12. #20056C2semidirect
13. #20025C2semidirect
14. #19990C2semidirect
15. #19913C2semidirect
16. #19899C2semidirect
17. #19878C2semidirect
18. #19794C2semidirect
19. #19777C2semidirect
20. #19772C2semidirect
21. #19716C2semidirect
22. #19498C2semidirect
23. #19459C2semidirect
24. #19371C2semidirect
25. #19319C2semidirect
26. #18846C2semidirect
27. #18833C2semidirect
28. #18804C2semidirect
29. #18784C2semidirect
30. #18052C2semidirect
31. #18007C2semidirect
34. #3482C22semidirect
36. #3398C22semidirect
37. #3393C22semidirect
38. #3393C22semidirect
39. #3384C22semidirect
40. #3372C22semidirect
41. #3367C22semidirect
42. #3364C22semidirect
43. #3364C22semidirect
49. #3340C22semidirect
54. #3330C22semidirect
55. #3330C22semidirect
70. #3303C22semidirect
73. #3302C22semidirect
78. #3283C22semidirect
81. #3276C22semidirect
82. #3276C22semidirect
87. #3229C22semidirect
91. #3209C22semidirect
94. #3185C22semidirect
98. #3116C22semidirect
109. #3039C22semidirect
113. #2991C22semidirect
115. #2970C22semidirect
120. #1723C22semidirect
121. #1720C22semidirect
122. #1720C22semidirect
123. #1720C22semidirect
124. #1718C22semidirect
125. #1716C22semidirect
126. #1711C22semidirect
127. #1707C22semidirect
128. #1703C22semidirect
129. #1702C22semidirect
130. #1702C22semidirect
131. #1701C22semidirect
132. #1700C22semidirect
133. #1700C22semidirect
134. #1699C22semidirect
135. #1699C22semidirect
136. #1699C22semidirect
137. #1697C22semidirect
138. #1693C22semidirect
139. #1691C22semidirect
140. #1691C22semidirect
141. #1689C22semidirect
142. #1689C22semidirect
143. #1689C22semidirect
144. #1683C22semidirect
145. #1682C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1679C22semidirect
149. #1679C22semidirect
150. #1679C22semidirect
151. #1679C22semidirect
152. #1679C22semidirect
153. #1678C22semidirect
154. #1674C22semidirect
155. #1672C22semidirect
156. #1671C22semidirect
157. #1669C22semidirect
158. #1669C22semidirect
159. #1669C22semidirect
162. #1654C22semidirect
163. #1654C22semidirect
164. #1654C22semidirect
165. #1654C22semidirect
166. #1652C22semidirect
167. #1652C22semidirect
168. #1652C22semidirect
169. #1652C22semidirect
170. #1652C22semidirect
171. #1651C22semidirect
172. #1648C22semidirect
175. #1647C22semidirect
176. #1646C22semidirect
177. #1646C22semidirect
178. #1644C22semidirect
179. #1644C22semidirect
184. #1638C22semidirect
185. #1638C22semidirect
186. #1635C22semidirect
187. #1635C22semidirect
188. #1628C22semidirect
189. #1627C22semidirect
190. #1626C22semidirect
191. #1625C22semidirect
192. #1594C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1589C22semidirect
196. #1588C22semidirect
197. #1586C22semidirect
198. #1586C22semidirect
199. #1585C22semidirect
200. #1583C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1569C22semidirect
211. #1556C22semidirect
212. #1552C22semidirect
213. #1550C22semidirect
215. #1488C22semidirect
217. #1477C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#619982
#617332
#614612
#611992
#202912
#202672
#202422
#201792
#201612
#201402
#201332
#200562
#200252
#199902
#199132
#198992
#198782
#197942
#197772
#197722
#197162
#194982
#194592
#193712
#193192
#188462
#188332
#188042
#187842
#180522
#180072