Finite Group Databasebeta

← #6369277

Subgroups — #6369277

Order 512.

1710 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61985C211yesmaximal, characteristic, complemented
2#61598C211yesmaximal, characteristic, complemented
3#61452C211yesmaximal, characteristic, complemented
4#61199C211yesmaximal, characteristic, complemented
5#20288C211yesmaximal, characteristic, complemented
6#20257C211yesmaximal, characteristic, complemented
7#20255C211yesmaximal, characteristic, complemented
8#20194C211yesmaximal, characteristic, complemented
9#20176C211yesmaximal, characteristic, complemented
10#20056C211yesmaximal, characteristic, complemented
11#20054C211yesmaximal, characteristic, complemented
12#20043C211yesmaximal, characteristic, complemented
13#20028C211yesmaximal, characteristic, complemented
14#19968C211yesmaximal, characteristic, complemented
15#19914C211yesmaximal, characteristic, complemented
16#19914C211yesmaximal, characteristic, complemented
17#19787C211yesmaximal, characteristic, complemented
18#19787C211yesmaximal, characteristic, complemented
19#19772C211yesmaximal, characteristic, complemented
20#19758C211yesmaximal, characteristic, complemented
21#19730C211yesmaximal, characteristic, complemented
22#19480C211yesmaximal, characteristic, complemented
23#19459C211yesmaximal, characteristic, complemented
24#19368C211yesmaximal, characteristic, complemented
25#19319C211yesmaximal, characteristic, complemented
26#18846C211yesmaximal, characteristic, complemented
27#18832C211yesmaximal, characteristic, complemented
28#18798C211yesmaximal, characteristic, complemented
29#18764C211yesmaximal, characteristic, complemented
30#18050C211yesmaximal, characteristic, complemented
31#18007C211yesmaximal, characteristic, complemented
32#3511C2211yescharacteristic, complemented
33#3496C2211yescharacteristic
34#3482C2211yescharacteristic, complemented
35D4×#41C2211yescharacteristic
36#3398C2211yescharacteristic, complemented
37#3398C2211yescharacteristic, complemented
38#3397C2211yescharacteristic, complemented
39#3386C2211yescharacteristic, complemented
40#3368C2211yescharacteristic, complemented
41#3367C2211yescharacteristic, complemented
42#3367C2211yescharacteristic, complemented
43#3367C2211yescharacteristic, complemented
44#3343—21no—
45#3334C2211yescharacteristic, complemented
46#3332C2211yescharacteristic
47#3330C2211yescharacteristic
48#3330C2211yescharacteristic
49#3330C2211yescharacteristic, complemented
50#3324C2211yescharacteristic
51#3324C2211yescharacteristic, complemented
52#3319—21no—
53#3319—21no—
54#3314—21no—
55#3314—21no—
56#3313—21no—
57#3313—21no—
58#3310—21no—
59#3308—21no—
60#3308—21no—
61#3306—21no—
62#3302C2211yescharacteristic
63#3302C2211yescharacteristic, complemented
64#3302C2211yescharacteristic, complemented
65#3302C2211yescharacteristic, complemented
66#3298C2211yescharacteristic
67#3298C2211yescharacteristic, complemented
68#3294C2211yescharacteristic
69#3294C2211yescharacteristic
70#3294C2211yescharacteristic, complemented
71#3294C2211yescharacteristic, complemented
72#3283C2211yescharacteristic, complemented
73#3283C2211yescharacteristic, complemented
74D4×SD16C2211yescharacteristic
75D4×SD16C2211yescharacteristic, complemented
76D4×D8C2211yescharacteristic
77#3274C2211yescharacteristic
78#3272C2211yescharacteristic
79#3269—21no—
80#3269—21no—
81#3265—21no—
82#3265—21no—
83#3264—21no—
84#3254C2211yescharacteristic, complemented
85#3249—21no—
86#3228C2211yescharacteristic, complemented
87#3226C2211yescharacteristic, complemented
88#3216—21no—
89#3214C2211yescharacteristic
90#3209C2211yescharacteristic, complemented
91#3207C2211yescharacteristic
92#3194—21no—
93#3188—21no—
94#3182C2211yescharacteristic, complemented
95#3180—21no—
96#3141C2211yescharacteristic, complemented
97#3116—21no—
98#3115C2211yescharacteristic
99#3115C2211yescharacteristic, complemented
100#3114—21no—
101#3112—21no—
102#3110C2211yescharacteristic
103#3106C2211yescharacteristic
104#3098—21no—
105C2×#474C2211yescharacteristic
106#3061—21no—
107#3039C2211yescharacteristic, complemented
108#3035—21no—
109#3035C2211yescharacteristic, complemented
110#3012—21no—
111#3006—21no—
112C2×#449—21no—
113#2990C2211yescharacteristic, complemented
114#2974C2211yescharacteristic
115#2970C2211yescharacteristic, complemented
116C4×AGL(1,ℤ/8)C2211yescharacteristic
117C2×#440—21no—
118#2935C2211yescharacteristic, complemented
119#2897—21no—
120#1723C2211yescharacteristic, complemented
121#1722C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1719C2211yescharacteristic, complemented
124#1719C2211yescharacteristic, complemented
125#1717C2211yescharacteristic, complemented
126#1710C2211yescharacteristic, complemented
127#1709C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1700C2211yescharacteristic, complemented
133#1700C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1699C2211yescharacteristic, complemented
138#1693C2211yescharacteristic, complemented
139#1689C2211yescharacteristic, complemented
140#1689C2211yescharacteristic, complemented
141#1688C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1681C2211yescharacteristic, complemented
145#1681C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1679C2211yescharacteristic, complemented
149#1679C2211yescharacteristic, complemented
150#1679C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1679C2211yescharacteristic, complemented
153#1679C2211yescharacteristic, complemented
154#1673C2211yescharacteristic, complemented
155#1669C2211yescharacteristic, complemented
156#1669C2211yescharacteristic, complemented
157#1667C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic, complemented
162#1654C2211yescharacteristic, complemented
163#1653C2211yescharacteristic, complemented
164#1650C2211yescharacteristic, complemented
165#1650C2211yescharacteristic, complemented
166#1650C2211yescharacteristic, complemented
167#1649C2211yescharacteristic, complemented
168#1649C2211yescharacteristic, complemented
169#1649C2211yescharacteristic, complemented
170#1647C2211yescharacteristic
171#1647C2211yescharacteristic, complemented
172#1647C2211yescharacteristic, complemented
173#1647C2211yescharacteristic, complemented
174#1647C2211yescharacteristic, complemented
175#1647C2211yescharacteristic, complemented
176#1641C2211yescharacteristic, complemented
177#1641C2211yescharacteristic, complemented
178#1639C2211yescharacteristic
179#1639C2211yescharacteristic
180#1639C2211yescharacteristic, complemented
181#1639C2211yescharacteristic, complemented
182#1639C2211yescharacteristic, complemented
183#1639C2211yescharacteristic, complemented
184#1628C2211yescharacteristic, complemented
185#1628C2211yescharacteristic, complemented
186#1628C2211yescharacteristic, complemented
187#1627C2211yescharacteristic, complemented
188#1626C2211yescharacteristic, complemented
189#1625C2211yescharacteristic, complemented
190#1625C2211yescharacteristic, complemented
191#1625C2211yescharacteristic, complemented
192#1592C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1586C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1585C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1582C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1580C2211yescharacteristic, complemented
206C8×D8C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1557C2211yescharacteristic, complemented
211#1556C2211yescharacteristic, complemented
212#1552C2211yescharacteristic, complemented
213#1547C2211yescharacteristic, complemented
214#1496C2211yescharacteristic, complemented
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic
217#1477C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C22×#41—21no—
221C2×#137—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)D411yescharacteristic
225C2×#135—21no—
226C2×#135—21no—
227C2×#135—21no—
228C22×SD16—21no—
229C22×SD16—21no—
230C22×D8—21no—
231C2×#131—21no—
232#557C2311yescharacteristic
233#556—21no—
234#556C2311yescharacteristic
235#556C2311yescharacteristic
236#556C2311yescharacteristic
237#555—21no—
238#554—21no—
239#553—41no—
240#552—21no—
241#552—41no—
242#550C2311yescharacteristic
243D4×Q8C2311yescharacteristic
244D4×Q8C2311yescharacteristic
245#548—21no—
246#548—21no—
247#548—21no—
248#548—21no—
249#547—21no—
250#547—21no—
251#547—21no—
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#546—21no—
259#546—21no—
260#546—21no—
261#546—41no—
262#546—41no—
263D42—21no—
264D42—21no—
265D42C2311yescharacteristic
266D42C2311yescharacteristic
267D42C2311yescharacteristic
268#542—41no—
269#537—21no—
270#537—21no—
271#534—41no—
272#533—21no—
273#533—21no—
274#533C2311yescharacteristic
275#532—21no—
276#532—21no—
277#532C2311yescharacteristic
278#532C2311yescharacteristic
279#532C2311yescharacteristic
280C2×C4⋊Q8C2311yescharacteristic
281#529—21no—
282#529—41no—
283#525—21no—
284#525—41no—
285C2×#121—21no—
286C2×#121—21no—
287#520—21no—
288C4×#41—21no—
289C4×#41C2311yescharacteristic
290C4×#41C2311yescharacteristic
291C2×C4×Q8—21no—
292C2×C4×D4—21no—
293C2×C4×D4C2311yescharacteristic
294#501—21no—
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#500C2311yescharacteristic
298#500C2311yescharacteristic
299#498C2311yescharacteristic
300#497—21no—
301#497—21no—
302#496—21no—
303#496—21no—
304#494C2311yescharacteristic
305#494C2311yescharacteristic
306#493C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#490—21no—
310#489—21no—
311#489—21no—
312#489—21no—
313#489—21no—
314#489—21no—
315#489—21no—
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#486C2311yescharacteristic
329#486C2311yescharacteristic
330#485—21no—
331#485—21no—
332#485—21no—
333#485—21no—
334#484—21no—
335#484—21no—
336#484—21no—
337#484—21no—
338#483—21no—
339#483—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—41no—
345#482D411yescharacteristic
346#482D411yescharacteristic
347#481—21no—
348#480—21no—
349#480—21no—
350#480—21no—
351#480—21no—
352#480—21no—
353#480—21no—
354#480—41no—
355#478—21no—
356#478—21no—
357#478—41no—
358#477—21no—
359#477—21no—
360#477—21no—
361#477—21no—
362#477—21no—
363#477D411yescharacteristic
364#476D411yescharacteristic
365#475C2311yescharacteristic
366#475C2311yescharacteristic
367#474—21no—
368#474—21no—
369#474—41no—
370#474C2311yescharacteristic
371#474C2311yescharacteristic
372#474C2311yescharacteristic
373#474C2311yescharacteristic
374#474C2311yescharacteristic
375#474C2311yescharacteristic
376#474C2311yescharacteristic
377#474C2311yescharacteristic
378#474C2311yescharacteristic
379#474C2311yescharacteristic
380#469—21no—
381#469—21no—
382#468—21no—
383#468—21no—
384#468—21no—
385#468—21no—
386#468—21no—
387#468—21no—
388#468—21no—
389#468—21no—
390#468—21no—
391#468—21no—
392#467—21no—
393#467—21no—
394#467—21no—
395#467—21no—
396#467—21no—
397#467—21no—
398#466—21no—
399#466—21no—
400#466—21no—
401#466—21no—
402#466—21no—
403#466—21no—
404#465—21no—
405#465—21no—
406#465—21no—
407#465—21no—
408#464—21no—
409#464—21no—
410#464—21no—
411#463—21no—
412#463—21no—
413#463—21no—
414#463—21no—
415#463—21no—
416#463—21no—
417#463—21no—
418#462—21no—
419#462—21no—
420#462—21no—
421#462—21no—
422#462—21no—
423#462C2311yescharacteristic
424#462C2311yescharacteristic
425#462C2311yescharacteristic
426#461—21no—
427#461C2311yescharacteristic
428#461C2311yescharacteristic
429#461C2311yescharacteristic
430#461C2311yescharacteristic
431#461C2311yescharacteristic
432#461C2311yescharacteristic
433#461C2311yescharacteristic
434#461C2311yescharacteristic
435#461C2311yescharacteristic
436#460—21no—
437#460—21no—
438#460—21no—
439#460D411yescharacteristic
440#460C2311yescharacteristic
441#460C2311yescharacteristic
442#460C2311yescharacteristic
443#459D411yescharacteristic
444#459C2311yescharacteristic
445#459C2311yescharacteristic
446#459C2311yescharacteristic
447#459C2311yescharacteristic
448#459C2311yescharacteristic
449#452—21no—
450#452—21no—
451#452—21no—
452#452—21no—
453#452—21no—
454#452—21no—
455#452—21no—
456#452—21no—
457#451—21no—
458#451—21no—
459#450—21no—
460#450—21no—
461#450—21no—
462#450—21no—
463#450—21no—
464#450—21no—
465#449—21no—
466#449—21no—
467#449—21no—
468#449—21no—
469#449—21no—
470#449—21no—
471#449—21no—
472#449—21no—
473#449—21no—
474#449—21no—
475#449—21no—
476#449—21no—
477#449D411yescharacteristic
478#449D411yescharacteristic
479#448—21no—
480#448—21no—
481#448—21no—
482#448—21no—
483#447—21no—
484#447—21no—
485#447—21no—
486#447—21no—
487#447—21no—
488#447—21no—
489#447—21no—
490#446C2311yescharacteristic
491#446C2311yescharacteristic
492#446C2311yescharacteristic
493#446C2311yescharacteristic
494#442—21no—
495#442—21no—
496#442D411yescharacteristic
497#442D411yescharacteristic
498#441—21no—
499#441—21no—
500#440—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#440D411yescharacteristic
513#440D411yescharacteristic
514C4×SD16C2311yescharacteristic
515C4×SD16C2311yescharacteristic
516C4×SD16C2311yescharacteristic
517C4×SD16C2311yescharacteristic
518C4×D8C2311yescharacteristic
519C4×D8C2311yescharacteristic
520C4×D8C2311yescharacteristic
521C4×D8C2311yescharacteristic
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—
532#435—21no—
533#435—21no—
534C8×D4C2311yescharacteristic
535C8×D4C2311yescharacteristic
536C8×D4C2311yescharacteristic
537C8×D4C2311yescharacteristic
538C8×D4C2311yescharacteristic
539C8×D4C2311yescharacteristic
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic
542#432—21no—
543#432—21no—
544#432C2311yescharacteristic
545#432C2311yescharacteristic
546#431C2311yescharacteristic
547#431C2311yescharacteristic
548#428D411yescharacteristic
549C2×#107—21no—
550C2×#107—21no—
551#423C2311yescharacteristic
552C2×C4⋊C8—21no—
553C2×C4⋊C8C2311yescharacteristic
554#419—21no—
555#418—21no—
556#418—21no—
557#418D411yescharacteristic
558#417—21no—
559#417—21no—
560#417—21no—
561#417—21no—
562#417—21no—
563#417—21no—
564#417D411yescharacteristic
565#416—21no—
566#416—21no—
567#416—21no—
568#416—21no—
569#416—21no—
570C2×#103—21no—
571C2×#103—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#332C2311yescharacteristic
591#332C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
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—21no—
637C2×#41—21no—
638C2×#41—41no—
639C2×#41—41no—
640C2×#41—41no—
641C2×#41—82no—
642C2×#41—82no—
643C2×#41C2×D411yescharacteristic
644C2×#41C2×D411yescharacteristic
645C22×Q8—21no—
646C22×Q8—21no—
647C22×Q8—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—41no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4—41no—
658C22×D4C2×D411yescharacteristic
659C23×C4—21no—
660C23×C4—41no—
661#137—82no—
662AGL(1,ℤ/8)—42no—
663AGL(1,ℤ/8)—82no—
664AGL(1,ℤ/8)—82no—
665#135—82no—
666#135—82no—
667#135—82no—
668C2×Q16—21no—
669C2×Q16—21no—
670C2×Q16—21no—
671C2×Q16—21no—
672C2×Q16—21no—
673C2×Q16—21no—
674C2×Q16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—21no—
682C2×SD16—21no—
683C2×SD16—21no—
684C2×SD16—21no—
685C2×SD16—21no—
686C2×SD16—21no—
687C2×SD16—21no—
688C2×SD16—21no—
689C2×SD16—21no—
690C2×SD16—21no—
691C2×SD16—44no—
692C2×SD16—82no—
693C2×SD16C2×D411yescharacteristic
694C2×SD16C2×D411yescharacteristic
695C2×SD16C2×D411yescharacteristic
696C2×SD16C2×D411yescharacteristic
697C2×D8—21no—
698C2×D8—21no—
699C2×D8—21no—
700C2×D8—21no—
701C2×D8—21no—
702C2×D8—21no—
703C2×D8—21no—
704C2×D8—82no—
705C2×D8C2×D411yescharacteristic
706C2×D8C2×D411yescharacteristic
707C2×D8C2×D411yescharacteristic
708C2×D8C2×D411yescharacteristic
709#131—82no—
710C2×M16—21no—
711C2×M16—21no—
712C2×M16—21no—
713C2×M16—21no—
714C2×M16—21no—
715C2×M16C2×D411yescharacteristic
716C2×M16C2×D411yescharacteristic
717C22×C8—21no—
718C22×C8—21no—
719C22×C8—21no—
720C22×C8—21no—
721C22×C8—21no—
722C22×C8—21no—
723C22×C8—21no—
724C22×C8—21no—
725C22×C8—21no—
726C4⋊Q8—21no—
727C4⋊Q8—21no—
728C4⋊Q8—21no—
729C4⋊Q8—21no—
730C4⋊Q8—21no—
731C4⋊Q8—21no—
732C4⋊Q8C2×D411yescharacteristic
733C4⋊Q8C2411yescharacteristic
734C4⋊Q8C2411yescharacteristic
735C4⋊Q8C2411yescharacteristic
736C4⋊Q8C2411yescharacteristic
737C4⋊Q8C2411yescharacteristic
738C4⋊Q8C2411yescharacteristic
739#127—21no—
740#127C2×D411yescharacteristic
741#127C2411yescharacteristic
742#127C2411yescharacteristic
743#126—41no—
744#126—41no—
745#126—41no—
746#126—41no—
747#126—41no—
748#125—21no—
749#125—21no—
750#125—41no—
751#125—41no—
752#125—41no—
753#124—21no—
754#124—21no—
755#124—21no—
756#124—21no—
757#124—21no—
758#124—21no—
759#124—41no—
760#124—41no—
761#124—41no—
762#124—41no—
763#123—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773#123—41no—
774#123—41no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796#121—21no—
797#121—21no—
798#121—21no—
799#121—21no—
800#121—21no—
801#121—21no—
802#121—21no—
803#121—21no—
804#121—21no—
805#121—21no—
806#121—21no—
807#121—21no—
808#121—21no—
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—41no—
815#121—41no—
816#121—41no—
817#121—41no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121C2×D411yescharacteristic
828#121C2×D411yescharacteristic
829#120—41no—
830#120—41no—
831#120—41no—
832#120—41no—
833#120—41no—
834#120—41no—
835#120—41no—
836C4×Q8—21no—
837C4×Q8—21no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8—21no—
843C4×Q8—41no—
844C4×Q8—41no—
845C4×Q8—41no—
846C4×Q8C2×D411yescharacteristic
847C4×Q8C2×D411yescharacteristic
848C4×Q8C2411yescharacteristic
849C4×Q8C2411yescharacteristic
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
864C4×D4—41no—
865C4×D4—41no—
866C4×D4—41no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4—41no—
871C4×D4—41no—
872C4×D4—41no—
873C4×D4C2×D411yescharacteristic
874C4×D4C2×D411yescharacteristic
875C4×D4C2×D411yescharacteristic
876C4×D4C2×D411yescharacteristic
877C4×D4C2411yescharacteristic
878C4×D4C2411yescharacteristic
879C4×D4C2411yescharacteristic
880C4×D4C2411yescharacteristic
881C4×D4C2411yescharacteristic
882C4×D4C2411yescharacteristic
883#117—21no—
884#117—21no—
885#117—21no—
886#117—21no—
887#117—21no—
888#117—21no—
889#117—41no—
890#117—41no—
891#117—41no—
892#117C2×D411yescharacteristic
893#117C2×D411yescharacteristic
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4—41no—
903C2×C4⋊C4C2×D411yescharacteristic
904C2×C22⋊C4—21no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C42—21no—
909C2×C42—21no—
910C2×C42—41no—
911C2×C42C2411yescharacteristic
912#107—21no—
913#107—21no—
914#107—21no—
915#107—21no—
916#107—21no—
917#107—21no—
918#107—21no—
919#107—21no—
920#107—21no—
921#107—21no—
922#107—21no—
923#107—21no—
924#107—41no—
925#107—41no—
926#107—41no—
927#107C2×D411yescharacteristic
928#107C2×D411yescharacteristic
929#107C2×D411yescharacteristic
930#107C2×D411yescharacteristic
931#106—21no—
932#106—21no—
933#106—41no—
934#106C2×D411yescharacteristic
935#106C2×D411yescharacteristic
936#106C2×D411yescharacteristic
937#106C2×D411yescharacteristic
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8—21no—
943C4⋊C8—21no—
944C4⋊C8—21no—
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2×D411yescharacteristic
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—21no—
976#103—21no—
977#103—21no—
978#103—21no—
979#103—21no—
980#103—21no—
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#102—41no—
1014#102—41no—
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023#102C2×D411yescharacteristic
1024#102C2×D411yescharacteristic
1025#102C2×D411yescharacteristic
1026#102C2×D411yescharacteristic
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⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8—21no—
1040C22⋊C8—21no—
1041C22⋊C8—21no—
1042C22⋊C8C2×D411yescharacteristic
1043C22⋊C8C2×D411yescharacteristic
1044#97—21no—
1045#97—21no—
1046#97—21no—
1047#97—21no—
1048#97—21no—
1049#97—21no—
1050#97C2×D411yescharacteristic
1051#97C2×D411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C4×C8C2411yescharacteristic
1056C4×C8C2411yescharacteristic
1057C4×C8C2411yescharacteristic
1058C24—21no—
1059C24—41no—
1060C24—41no—
1061C24—41no—
1062#41—22no—
1063#41—41no—
1064#41—42no—
1065#41—42no—
1066#41—41no—
1067#41—41no—
1068#41—42no—
1069#41—42no—
1070#41—42no—
1071#41—42no—
1072#41—42no—
1073#41—42no—
1074#41—42no—
1075#41—81no—
1076#41—81no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—81no—
1081#41—81no—
1082#41—84no—
1083#41—81no—
1084#41—81no—
1085#41—81no—
1086#41—81no—
1087#41—84no—
1088#41—84no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—21no—
1094C2×Q8—21no—
1095C2×Q8—21no—
1096C2×Q8—41no—
1097C2×Q8—41no—
1098C2×Q8—41no—
1099C2×Q8—42no—
1100C2×Q8—42no—
1101C2×Q8—81no—
1102C2×Q8—81no—
1103C2×Q8—81no—
1104C2×Q8—81no—
1105C2×Q8C22×D411yescharacteristic
1106C2×Q8C22×D411yescharacteristic
1107C2×D4—22no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—21no—
1120C2×D4—21no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—84no—
1151C2×D4—84no—
1152C2×D4—84no—
1153C2×D4—84no—
1154C2×D4C22×D411yescharacteristic
1155C2×D4C22×D411yescharacteristic
1156C2×D4C22×D411yescharacteristic
1157C2×D4C22×D411yescharacteristic
1158C2×D4C22×D411yescharacteristic
1159C2×D4C22×D411yescharacteristic
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—81no—
1186C22×C4—81no—
1187C22×C4—84no—
1188C22×C4C22×D411yescharacteristic
1189C22×C4C22×D411yescharacteristic
1190C22×C4H(5,𝔽2)11yescharacteristic
1191Q16—81no—
1192Q16—81no—
1193Q16—81no—
1194Q16—81no—
1195Q16—81no—
1196Q16—81no—
1197Q16—81no—
1198SD16—22no—
1199SD16—41no—
1200SD16—41no—
1201SD16—41no—
1202SD16—42no—
1203SD16—42no—
1204SD16—42no—
1205SD16—42no—
1206SD16—42no—
1207SD16—42no—
1208SD16—81no—
1209SD16—81no—
1210SD16—81no—
1211SD16—81no—
1212SD16—81no—
1213SD16—81no—
1214SD16—81no—
1215SD16—81no—
1216SD16—81no—
1217SD16—81no—
1218D8—22no—
1219D8—22no—
1220D8—22no—
1221D8—41no—
1222D8—42no—
1223D8—81no—
1224D8—81no—
1225D8—81no—
1226D8—81no—
1227D8—81no—
1228D8—81no—
1229M16—41no—
1230M16—41no—
1231M16—81no—
1232M16—81no—
1233M16—81no—
1234M16—81no—
1235M16—81no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—42no—
1247C2×C8—42no—
1248C2×C8—81no—
1249C2×C8—81no—
1250C2×C8—81no—
1251C2×C8—81no—
1252C2×C8—81no—
1253C2×C8—81no—
1254C2×C8—81no—
1255C2×C8C22×D411yescharacteristic
1256C2×C8C22×D411yescharacteristic
1257C2×C8C22×D411yescharacteristic
1258C2×C8C22×D411yescharacteristic
1259C2×C8C22×D411yescharacteristic
1260C2×C8C22×D411yescharacteristic
1261C2×C8C22×D411yescharacteristic
1262C2×C8C22×D411yescharacteristic
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4C22×D411yescharacteristic
1300C4⋊C4C22×D411yescharacteristic
1301C4⋊C4C22×D411yescharacteristic
1302C4⋊C4C22×D411yescharacteristic
1303C4⋊C4C22×D411yescharacteristic
1304C4⋊C4C22×D411yescharacteristic
1305C4⋊C4C22×D411yescharacteristic
1306C4⋊C4C22×D411yescharacteristic
1307C22⋊C4—21no—
1308C22⋊C4—21no—
1309C22⋊C4—21no—
1310C22⋊C4—21no—
1311C22⋊C4—21no—
1312C22⋊C4—21no—
1313C22⋊C4—21no—
1314C22⋊C4—21no—
1315C22⋊C4—21no—
1316C22⋊C4—21no—
1317C22⋊C4—21no—
1318C22⋊C4—21no—
1319C22⋊C4—21no—
1320C22⋊C4—21no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C42—21no—
1345C42—21no—
1346C42—21no—
1347C42—21no—
1348C42—21no—
1349C42—21no—
1350C42—41no—
1351C42—41no—
1352C42—41no—
1353C42—41no—
1354C42—41no—
1355C42C22×D411yescharacteristic
1356C42C22×D411yescharacteristic
1357C42H(5,𝔽2)11yescharacteristic
1358C42C2511yescharacteristic
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—42no—
1366C23—41no—
1367C23—41no—
1368C23—81no—
1369C23—81no—
1370C23—82no—
1371C23—82no—
1372C23—82no—
1373C23—82no—
1374C23—161no—
1375C23—161no—
1376C23—161no—
1377C23—161no—
1378C23—161no—
1379C23D4211yescharacteristic
1380Q8—21no—
1381Q8—21no—
1382Q8—21no—
1383Q8—21no—
1384Q8—42no—
1385Q8—41no—
1386Q8—41no—
1387Q8—41no—
1388Q8—41no—
1389Q8—41no—
1390Q8—41no—
1391Q8—41no—
1392Q8—41no—
1393Q8—41no—
1394Q8—41no—
1395Q8—41no—
1396Q8—41no—
1397Q8—82no—
1398Q8—82no—
1399Q8—161no—
1400D4—21no—
1401D4—21no—
1402D4—21no—
1403D4—21no—
1404D4—21no—
1405D4—21no—
1406D4—21no—
1407D4—21no—
1408D4—21no—
1409D4—21no—
1410D4—42no—
1411D4—42no—
1412D4—42no—
1413D4—42no—
1414D4—42no—
1415D4—41no—
1416D4—41no—
1417D4—41no—
1418D4—41no—
1419D4—41no—
1420D4—41no—
1421D4—41no—
1422D4—41no—
1423D4—81no—
1424D4—81no—
1425D4—81no—
1426D4—81no—
1427D4—82no—
1428D4—82no—
1429D4—82no—
1430D4—82no—
1431D4—82no—
1432D4—82no—
1433D4—82no—
1434D4—82no—
1435D4—82no—
1436D4—82no—
1437D4—82no—
1438D4—161no—
1439D4—161no—
1440D4—161no—
1441D4—161no—
1442D4—161no—
1443D4#57512yes—
1444D4#57612yes—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—41no—
1460C2×C4—42no—
1461C2×C4—42no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—81no—
1481C2×C4—81no—
1482C2×C4—81no—
1483C2×C4—81no—
1484C2×C4—82no—
1485C2×C4—82no—
1486C2×C4—81no—
1487C2×C4—82no—
1488C2×C4—82no—
1489C2×C4—82no—
1490C2×C4—82no—
1491C2×C4—82no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4—161no—
1495C2×C4—161no—
1496C2×C4—161no—
1497C2×C4D4211yescharacteristic
1498C2×C4D4211yescharacteristic
1499C2×C4D4211yescharacteristic
1500C2×C4C23×D411yescharacteristic
1501C2×C4C23×D411yescharacteristic
1502C2×C4C2×H(5,𝔽2)11yescharacteristic
1503C8—21no—
1504C8—21no—
1505C8—21no—
1506C8—21no—
1507C8—21no—
1508C8—21no—
1509C8—21no—
1510C8—21no—
1511C8—41no—
1512C8—41no—
1513C8—41no—
1514C8—41no—
1515C8—41no—
1516C8—41no—
1517C8—41no—
1518C8—41no—
1519C8—41no—
1520C8—41no—
1521C22—21no—
1522C22—22no—
1523C22—21no—
1524C22—22no—
1525C22—21no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—162no—
1549C22—164no—
1550C22—322no—
1551C22—322no—
1552C22C2×D4211yescharacteristic
1553C4—21no—
1554C4—21no—
1555C4—21no—
1556C4—21no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—81no—
1568C4—81no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4—81no—
1573C4C2×#57511yescharacteristic
1574C4C2×#57611yescharacteristic
1575C4#358511yescharacteristic
1576C4#358511yescharacteristic
1577C2—41no—
1578C2—42no—
1579C2—42no—
1580C2—81no—
1581C2—81no—
1582C2—81no—
1583C2—81no—
1584C2—161no—
1585C2—161no—
1586C2#6106611yescharacteristic
1587C2#6107211yescharacteristic
1588C2#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. #61985C2semidirect
2. #61598C2semidirect
3. #61452C2semidirect
4. #61199C2semidirect
5. #20288C2semidirect
6. #20257C2semidirect
7. #20255C2semidirect
8. #20194C2semidirect
9. #20176C2semidirect
10. #20056C2semidirect
11. #20054C2semidirect
12. #20043C2semidirect
13. #20028C2semidirect
14. #19968C2semidirect
15. #19914C2semidirect
16. #19914C2semidirect
17. #19787C2semidirect
18. #19787C2semidirect
19. #19772C2semidirect
20. #19758C2semidirect
21. #19730C2semidirect
22. #19480C2semidirect
23. #19459C2semidirect
24. #19368C2semidirect
25. #19319C2semidirect
26. #18846C2semidirect
27. #18832C2semidirect
28. #18798C2semidirect
29. #18764C2semidirect
30. #18050C2semidirect
31. #18007C2semidirect
32. #3511C22semidirect
34. #3482C22semidirect
36. #3398C22semidirect
37. #3398C22semidirect
38. #3397C22semidirect
39. #3386C22semidirect
40. #3368C22semidirect
41. #3367C22semidirect
42. #3367C22semidirect
43. #3367C22semidirect
45. #3334C22semidirect
49. #3330C22semidirect
51. #3324C22semidirect
63. #3302C22semidirect
64. #3302C22semidirect
65. #3302C22semidirect
67. #3298C22semidirect
70. #3294C22semidirect
71. #3294C22semidirect
72. #3283C22semidirect
73. #3283C22semidirect
75. D4×SD16C22semidirect
84. #3254C22semidirect
86. #3228C22semidirect
87. #3226C22semidirect
90. #3209C22semidirect
94. #3182C22semidirect
96. #3141C22semidirect
99. #3115C22semidirect
107. #3039C22semidirect
109. #3035C22semidirect
113. #2990C22semidirect
115. #2970C22semidirect
118. #2935C22semidirect
120. #1723C22semidirect
121. #1722C22semidirect
122. #1720C22semidirect
123. #1719C22semidirect
124. #1719C22semidirect
125. #1717C22semidirect
126. #1710C22semidirect
127. #1709C22semidirect
128. #1702C22semidirect
129. #1702C22semidirect
130. #1702C22semidirect
131. #1701C22semidirect
132. #1700C22semidirect
133. #1700C22semidirect
134. #1700C22semidirect
135. #1699C22semidirect
136. #1699C22semidirect
137. #1699C22semidirect
138. #1693C22semidirect
139. #1689C22semidirect
140. #1689C22semidirect
141. #1688C22semidirect
142. #1686C22semidirect
143. #1685C22semidirect
144. #1681C22semidirect
145. #1681C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1679C22semidirect
149. #1679C22semidirect
150. #1679C22semidirect
151. #1679C22semidirect
152. #1679C22semidirect
153. #1679C22semidirect
154. #1673C22semidirect
155. #1669C22semidirect
156. #1669C22semidirect
157. #1667C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
161. #1654C22semidirect
162. #1654C22semidirect
163. #1653C22semidirect
164. #1650C22semidirect
165. #1650C22semidirect
166. #1650C22semidirect
167. #1649C22semidirect
168. #1649C22semidirect
169. #1649C22semidirect
171. #1647C22semidirect
172. #1647C22semidirect
173. #1647C22semidirect
174. #1647C22semidirect
175. #1647C22semidirect
176. #1641C22semidirect
177. #1641C22semidirect
180. #1639C22semidirect
181. #1639C22semidirect
182. #1639C22semidirect
183. #1639C22semidirect
184. #1628C22semidirect
185. #1628C22semidirect
186. #1628C22semidirect
187. #1627C22semidirect
188. #1626C22semidirect
189. #1625C22semidirect
190. #1625C22semidirect
191. #1625C22semidirect
192. #1592C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1590C22semidirect
196. #1586C22semidirect
197. #1586C22semidirect
198. #1585C22semidirect
199. #1585C22semidirect
200. #1582C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. #1580C22semidirect
206. C8×D8C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1569C22semidirect
210. #1557C22semidirect
211. #1556C22semidirect
212. #1552C22semidirect
213. #1547C22semidirect
214. #1496C22semidirect
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
#619852
#615982
#614522
#611992
#202882
#202572
#202552
#201942
#201762
#200562
#200542
#200432
#200282
#199682
#199142
#197872
#197722
#197582
#197302
#194802
#194592
#193682
#193192
#188462
#188322
#187982
#187642
#180502
#180072