Finite Group Databasebeta

← #6369304

Subgroups — #6369304

Order 512.

1709 conjugacy classes of subgroups.

The subgroup lattice has 1589 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62003C211yesmaximal, characteristic, complemented
2#61595C211yesmaximal, characteristic, complemented
3#61545C211yesmaximal, characteristic, complemented
4#61161C211yesmaximal, characteristic, complemented
5#20304C211yesmaximal, characteristic, complemented
6#20255C211yesmaximal, characteristic, complemented
7#20186C211yesmaximal, characteristic, complemented
8#20171C211yesmaximal, characteristic, complemented
9#20162C211yesmaximal, characteristic, complemented
10#20063C211yesmaximal, characteristic, complemented
11#20056C211yesmaximal, characteristic, complemented
12#20045C211yesmaximal, characteristic, complemented
13#20028C211yesmaximal, characteristic, complemented
14#19998C211yesmaximal, characteristic, complemented
15#19908C211yesmaximal, characteristic, complemented
16#19886C211yesmaximal, characteristic, complemented
17#19831C211yesmaximal, characteristic, complemented
18#19820C211yesmaximal, characteristic, complemented
19#19779C211yesmaximal, characteristic, complemented
20#19758C211yesmaximal, characteristic, complemented
21#19730C211yesmaximal, characteristic, complemented
22#19497C211yesmaximal, characteristic, complemented
23#19461C211yesmaximal, characteristic, complemented
24#19383C211yesmaximal, characteristic, complemented
25#19304C211yesmaximal, characteristic, complemented
26#18859C211yesmaximal, characteristic, complemented
27#18822C211yesmaximal, characteristic, complemented
28#18806C211yesmaximal, characteristic, complemented
29#18756C211yesmaximal, characteristic, complemented
30#18052C211yesmaximal, characteristic, complemented
31#18008C211yesmaximal, characteristic, complemented
32#3520C2211yescharacteristic, complemented
33#3517C2211yescharacteristic
34D4×#41C2211yescharacteristic
35C2×#547C2211yescharacteristic
36#3397C2211yescharacteristic, complemented
37#3392C2211yescharacteristic, complemented
38#3391C2211yescharacteristic, complemented
39#3386C2211yescharacteristic, complemented
40#3364C2211yescharacteristic, complemented
41#3359C2211yescharacteristic, complemented
42#3358C2211yescharacteristic, complemented
43#3358C2211yescharacteristic, complemented
44#3346—21no—
45#3334C2211yescharacteristic, complemented
46#3333—21no—
47#3332—21no—
48#3332C2211yescharacteristic
49#3332C2211yescharacteristic
50#3332C2211yescharacteristic, complemented
51#3332C2211yescharacteristic, complemented
52#3330—21no—
53#3330C2211yescharacteristic
54#3330C2211yescharacteristic
55#3330C2211yescharacteristic
56#3330C2211yescharacteristic, complemented
57#3330C2211yescharacteristic, complemented
58#3330C2211yescharacteristic, complemented
59#3322—21no—
60#3315—21no—
61#3315—21no—
62#3308—21no—
63#3308—21no—
64#3306—21no—
65#3306—21no—
66#3302C2211yescharacteristic
67#3302C2211yescharacteristic, complemented
68#3298C2211yescharacteristic
69#3298C2211yescharacteristic
70#3294C2211yescharacteristic
71#3294C2211yescharacteristic
72#3284C2211yescharacteristic, complemented
73#3283C2211yescharacteristic
74#3283C2211yescharacteristic, complemented
75#3276C2211yescharacteristic
76#3276C2211yescharacteristic, complemented
77#3274—21no—
78#3274C2211yescharacteristic, complemented
79#3272—21no—
80#3272C2211yescharacteristic, complemented
81#3269—21no—
82#3269—21no—
83#3268—21no—
84#3251—21no—
85#3251C2211yescharacteristic
86#3228C2211yescharacteristic
87#3226C2211yescharacteristic, complemented
88#3218C2211yescharacteristic, complemented
89#3209C2211yescharacteristic, complemented
90#3207—21no—
91#3207C2211yescharacteristic
92#3196—21no—
93#3189—21no—
94#3182C2211yescharacteristic, complemented
95#3179—21no—
96#3141C2211yescharacteristic
97#3124—21no—
98#3119—21no—
99#3110C2211yescharacteristic
100#3107C2211yescharacteristic
101#3105—21no—
102#3105C2211yescharacteristic
103#3100C2211yescharacteristic, complemented
104#3092—21no—
105#3079C2211yescharacteristic
106#3055—21no—
107#3036—21no—
108#3036C2211yescharacteristic
109#3036C2211yescharacteristic
110#3007—21no—
111#3006—21no—
112#3002—21no—
113#2991C2211yescharacteristic
114#2974C2211yescharacteristic, complemented
115#2969C2211yescharacteristic, complemented
116#2951—21no—
117C4×AGL(1,ℤ/8)C2211yescharacteristic
118D4×M16C2211yescharacteristic
119C2×#417—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#1701C2211yescharacteristic, complemented
130#1701C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1700C2211yescharacteristic, complemented
133#1699C2211yescharacteristic, complemented
134#1699C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1699C2211yescharacteristic, complemented
138#1693C2211yescharacteristic, complemented
139#1689C2211yescharacteristic, complemented
140#1689C2211yescharacteristic, complemented
141#1687C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1682C2211yescharacteristic, complemented
145#1681C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1680C2211yescharacteristic, complemented
149#1680C2211yescharacteristic, complemented
150#1680C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1679C2211yescharacteristic, complemented
153#1679C2211yescharacteristic, complemented
154#1673C2211yescharacteristic, complemented
155#1670C2211yescharacteristic, complemented
156#1670C2211yescharacteristic, complemented
157#1667C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1654C2211yescharacteristic, complemented
162#1651C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1650C2211yescharacteristic, complemented
165#1649C2211yescharacteristic, complemented
166#1648C2211yescharacteristic, complemented
167#1648C2211yescharacteristic, complemented
168#1647C2211yescharacteristic
169#1647C2211yescharacteristic
170#1647C2211yescharacteristic, complemented
171#1647C2211yescharacteristic, complemented
172#1647C2211yescharacteristic, complemented
173#1647C2211yescharacteristic, complemented
174#1647C2211yescharacteristic, complemented
175#1647C2211yescharacteristic, complemented
176#1642C2211yescharacteristic, complemented
177#1642C2211yescharacteristic, complemented
178#1642C2211yescharacteristic, complemented
179#1641C2211yescharacteristic, complemented
180#1641C2211yescharacteristic, complemented
181#1641C2211yescharacteristic, complemented
182#1639C2211yescharacteristic, complemented
183#1639C2211yescharacteristic, complemented
184#1628C2211yescharacteristic, complemented
185#1627C2211yescharacteristic, complemented
186#1625C2211yescharacteristic
187#1625C2211yescharacteristic
188#1625C2211yescharacteristic, complemented
189#1625C2211yescharacteristic, complemented
190#1625C2211yescharacteristic, complemented
191#1625C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1589C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1586C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×SD16C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1561C2211yescharacteristic, complemented
211#1557C2211yescharacteristic, complemented
212#1553C2211yescharacteristic
213#1546C2211yescharacteristic, complemented
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic
216#1486C2211yescharacteristic, complemented
217#1478C2211yescharacteristic
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C22×#41—21no—
221C2×#137—21no—
222C2×#137—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×AGL(1,ℤ/8)—21no—
226C2×AGL(1,ℤ/8)—21no—
227C2×AGL(1,ℤ/8)D411yescharacteristic
228C2×#135—21no—
229C2×#135—21no—
230C2×#135—21no—
231C22×M16—21no—
232#557C2311yescharacteristic
233#556C2311yescharacteristic
234#554—21no—
235#553—21no—
236#553—41no—
237#552—21no—
238#551—41no—
239#550—21no—
240#550—21no—
241#550C2311yescharacteristic
242#550C2311yescharacteristic
243#550C2311yescharacteristic
244D4×Q8C2311yescharacteristic
245D4×Q8C2311yescharacteristic
246#548—21no—
247#548—21no—
248#547—21no—
249#547—21no—
250#547—21no—
251#547—21no—
252#547—21no—
253#547—21no—
254#547—41no—
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#547C2311yescharacteristic
259#547C2311yescharacteristic
260#547C2311yescharacteristic
261#547C2311yescharacteristic
262#547C2311yescharacteristic
263#546—21no—
264#546—21no—
265#546—41no—
266D42—21no—
267D42C2311yescharacteristic
268#542—21no—
269#540—21no—
270#540—41no—
271#539—41no—
272#533C2311yescharacteristic
273#532—21no—
274#532—21no—
275#532C2311yescharacteristic
276#532C2311yescharacteristic
277C2×C4⋊Q8C2311yescharacteristic
278#529—21no—
279#529C2311yescharacteristic
280#525—21no—
281#525—21no—
282#525—41no—
283C2×#123—41no—
284C2×C22⋊Q8—21no—
285C2×C22⋊Q8—21no—
286C2×#121—21no—
287#520—21no—
288#520—21no—
289C4×#41C2311yescharacteristic
290C2×C4×D4—21no—
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C22×C4⋊C4—21no—
294#501—21no—
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#500C2311yescharacteristic
298#500C2311yescharacteristic
299#498C2311yescharacteristic
300#497—21no—
301#496—21no—
302#494C2311yescharacteristic
303#494C2311yescharacteristic
304#493—21no—
305#493C2311yescharacteristic
306#492—21no—
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#491—21no—
310#489—21no—
311#489—21no—
312#488—21no—
313#487—21no—
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#486—21no—
321#486—21no—
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#484—21no—
334#484—21no—
335#484—21no—
336#484—21no—
337#484—21no—
338#484—21no—
339#484—21no—
340#484D411yescharacteristic
341#483—21no—
342#483—21no—
343#482—41no—
344#481—21no—
345#481—21no—
346#481—21no—
347#481—21no—
348#481D411yescharacteristic
349#480—21no—
350#480—21no—
351#480—21no—
352#480—21no—
353#480—21no—
354#480—41no—
355#479—21no—
356#478—21no—
357#478—21no—
358#478—41no—
359#478D411yescharacteristic
360#478D411yescharacteristic
361#477—21no—
362#477—21no—
363#476—21no—
364#475—21no—
365#475C2311yescharacteristic
366#475C2311yescharacteristic
367#475C2311yescharacteristic
368#475C2311yescharacteristic
369#474—21no—
370#474—21no—
371#474—41no—
372#474C2311yescharacteristic
373#474C2311yescharacteristic
374#474C2311yescharacteristic
375#474C2311yescharacteristic
376#474C2311yescharacteristic
377#474C2311yescharacteristic
378#474C2311yescharacteristic
379#474C2311yescharacteristic
380#470—21no—
381#470—21no—
382#469—21no—
383#469—21no—
384#469—21no—
385#469—21no—
386#469—21no—
387#469—21no—
388#468—21no—
389#468—21no—
390#468—21no—
391#468—21no—
392#468—21no—
393#468—21no—
394#468—21no—
395#468—21no—
396#468—21no—
397#468—21no—
398#467—21no—
399#467—21no—
400#467—21no—
401#467—21no—
402#466—21no—
403#466—21no—
404#466—21no—
405#465—21no—
406#465—21no—
407#465—21no—
408#464—21no—
409#463—21no—
410#463—21no—
411#463—21no—
412#463—21no—
413#463—21no—
414#463—21no—
415#463—21no—
416#463—21no—
417#463D411yescharacteristic
418#463D411yescharacteristic
419#462—21no—
420#462—21no—
421#462C2311yescharacteristic
422#462C2311yescharacteristic
423#462C2311yescharacteristic
424#461—21no—
425#461—21no—
426#461C2311yescharacteristic
427#461C2311yescharacteristic
428#461C2311yescharacteristic
429#461C2311yescharacteristic
430#461C2311yescharacteristic
431#461C2311yescharacteristic
432#461C2311yescharacteristic
433#461C2311yescharacteristic
434#461C2311yescharacteristic
435#460—21no—
436#460—21no—
437#460C2311yescharacteristic
438#459—21no—
439#459—21no—
440#459—21no—
441#459—21no—
442#459C2311yescharacteristic
443#459C2311yescharacteristic
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#452—21no—
458#452—21no—
459#451—21no—
460#451—21no—
461#451—21no—
462#451—21no—
463#451—21no—
464#450—21no—
465#450—21no—
466#450D411yescharacteristic
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#449—21no—
478#449—21no—
479#449—21no—
480#449—21no—
481#449—21no—
482#448—21no—
483#448—21no—
484#448—21no—
485#447—21no—
486#447—21no—
487#447—21no—
488#447—21no—
489#447D411yescharacteristic
490#446C2311yescharacteristic
491C8×Q8C2311yescharacteristic
492C8×Q8C2311yescharacteristic
493C8×Q8C2311yescharacteristic
494#442D411yescharacteristic
495#442D411yescharacteristic
496#440—21no—
497#440—21no—
498#440—21no—
499#440—21no—
500#440—21no—
501#440—21no—
502#440D411yescharacteristic
503#440D411yescharacteristic
504C4×Q16—21no—
505C4×Q16—21no—
506C4×SD16—21no—
507C4×SD16—21no—
508C4×SD16—21no—
509C4×SD16C2311yescharacteristic
510C4×SD16C2311yescharacteristic
511C4×SD16C2311yescharacteristic
512C4×SD16C2311yescharacteristic
513C4×D8—21no—
514C4×D8—21no—
515C4×D8—21no—
516C4×D8—21no—
517C4×D8—21no—
518C4×D8C2311yescharacteristic
519C4×D8C2311yescharacteristic
520C4×D8C2311yescharacteristic
521C4×D8C2311yescharacteristic
522#436—21no—
523#436—21no—
524#436—21no—
525#436C2311yescharacteristic
526#436C2311yescharacteristic
527#436C2311yescharacteristic
528#436C2311yescharacteristic
529#436C2311yescharacteristic
530#436C2311yescharacteristic
531#436C2311yescharacteristic
532#435—21no—
533#435—21no—
534#435—21no—
535#435—21no—
536#435—21no—
537C8×D4C2311yescharacteristic
538C8×D4C2311yescharacteristic
539C8×D4C2311yescharacteristic
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic
542#433—21no—
543#432C2311yescharacteristic
544#431—21no—
545#431C2311yescharacteristic
546#431C2311yescharacteristic
547#431C2311yescharacteristic
548#428—21no—
549#428D411yescharacteristic
550C2×#107—21no—
551#423—21no—
552#423C2311yescharacteristic
553#423C2311yescharacteristic
554#418D411yescharacteristic
555#417—21no—
556#417—21no—
557#417—21no—
558#417—21no—
559#417—21no—
560#417—21no—
561#417—21no—
562#417—21no—
563#417—21no—
564#417—21no—
565#417—21no—
566#417—21no—
567#417—21no—
568#417—21no—
569#417—21no—
570#417D411yescharacteristic
571#416—21no—
572#416—21no—
573C2×#103—21no—
574C2×#103—21no—
575C2×#102—21no—
576C2×#102—21no—
577#407—21no—
578#407—21no—
579C2×C22⋊C8—21no—
580#405—21no—
581C4×M16C2311yescharacteristic
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
626C2×#41—21no—
627C2×#41—21no—
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—21no—
639C2×#41—41no—
640C2×#41—41no—
641C2×#41—41no—
642C2×#41—41no—
643C2×#41—44no—
644C2×#41—82no—
645C2×#41—82no—
646C2×#41—82no—
647C2×#41C2×D411yescharacteristic
648C22×Q8—21no—
649C22×Q8—21no—
650C22×Q8—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—41no—
654C22×D4—41no—
655C22×D4C2×D411yescharacteristic
656C22×D4C2×D411yescharacteristic
657C23×C4—21no—
658C23×C4—21no—
659C23×C4—41no—
660C23×C4—41no—
661#137—82no—
662#137—82no—
663AGL(1,ℤ/8)—42no—
664AGL(1,ℤ/8)—82no—
665AGL(1,ℤ/8)—82no—
666AGL(1,ℤ/8)—82no—
667AGL(1,ℤ/8)—82no—
668#135—44no—
669#135—82no—
670#135—82no—
671C2×Q16—21no—
672C2×Q16—21no—
673C2×Q16—21no—
674C2×Q16—21no—
675C2×Q16—21no—
676C2×Q16—21no—
677C2×Q16—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—21no—
692C2×SD16C2×D411yescharacteristic
693C2×SD16C2×D411yescharacteristic
694C2×SD16C2×D411yescharacteristic
695C2×SD16C2×D411yescharacteristic
696C2×D8—21no—
697C2×D8—21no—
698C2×D8—21no—
699C2×D8—21no—
700C2×D8—21no—
701C2×D8—21no—
702C2×D8—21no—
703C2×D8—21no—
704C2×D8—21no—
705C2×D8C2×D411yescharacteristic
706C2×D8C2×D411yescharacteristic
707C2×D8C2×D411yescharacteristic
708C2×D8C2×D411yescharacteristic
709C2×M16—21no—
710C2×M16—21no—
711C2×M16—21no—
712C2×M16—21no—
713C2×M16—21no—
714C2×M16—21no—
715C2×M16—21no—
716C2×M16—21no—
717C2×M16—21no—
718C2×M16—82no—
719C2×M16C2×D411yescharacteristic
720C2×M16C2×D411yescharacteristic
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⋊Q8C2411yescharacteristic
733C4⋊Q8C2411yescharacteristic
734C4⋊Q8C2411yescharacteristic
735C4⋊Q8C2411yescharacteristic
736C4⋊Q8C2411yescharacteristic
737C4⋊Q8C2411yescharacteristic
738#127—21no—
739#127—21no—
740#127—21no—
741#127—41no—
742#127C2411yescharacteristic
743#127C2411yescharacteristic
744#126—21no—
745#126—41no—
746#126—41no—
747#126—41no—
748#125—21no—
749#125—21no—
750#125—41no—
751#125—41no—
752#125C2×D411yescharacteristic
753#124—21no—
754#124—21no—
755#124—21no—
756#124—41no—
757#124—41no—
758#124C2×D411yescharacteristic
759#123—21no—
760#123—41no—
761#123—41no—
762#123—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—
775#123—41no—
776#123—41no—
777#123—41no—
778#123—41no—
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—21no—
789C22⋊Q8—21no—
790C22⋊Q8—21no—
791C22⋊Q8—21no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796C22⋊Q8—41no—
797C22⋊Q8—41no—
798C22⋊Q8—41no—
799C22⋊Q8—41no—
800C22⋊Q8C2×D411yescharacteristic
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—21no—
815#121—21no—
816#121—21no—
817#121—21no—
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#121—41no—
828#121—41no—
829#121—41no—
830#121—41no—
831#121C2×D411yescharacteristic
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×Q8C2×D411yescharacteristic
842C4×Q8C2411yescharacteristic
843C4×Q8C2411yescharacteristic
844C4×D4—21no—
845C4×D4—21no—
846C4×D4—21no—
847C4×D4—21no—
848C4×D4—21no—
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4—41no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4—41no—
866C4×D4—41no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4C2×D411yescharacteristic
871C4×D4C2×D411yescharacteristic
872C4×D4C2×D411yescharacteristic
873C4×D4C2×D411yescharacteristic
874C4×D4C2×D411yescharacteristic
875C4×D4C2411yescharacteristic
876C4×D4C2411yescharacteristic
877C4×D4C2411yescharacteristic
878C4×D4C2411yescharacteristic
879C4×D4C2411yescharacteristic
880C4×D4C2411yescharacteristic
881#117—21no—
882#117—21no—
883#117—21no—
884#117—21no—
885#117—41no—
886#117—41no—
887#117C2×D411yescharacteristic
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—41no—
899C2×C4⋊C4—41no—
900C2×C4⋊C4—41no—
901C2×C4⋊C4—41no—
902C2×C4⋊C4—41no—
903C2×C4⋊C4C2×D411yescharacteristic
904C2×C4⋊C4C2×D411yescharacteristic
905C2×C22⋊C4—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C42—21no—
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—41no—
923#107—41no—
924#107—41no—
925#107C2×D411yescharacteristic
926#107C2×D411yescharacteristic
927#107C2×D411yescharacteristic
928#107C2×D411yescharacteristic
929#106—21no—
930#106—21no—
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#103—21no—
982#103—21no—
983#103C2×D411yescharacteristic
984#103C2×D411yescharacteristic
985#103C2×D411yescharacteristic
986#103C2×D411yescharacteristic
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—41no—
1012#102—41no—
1013#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#97C2×D411yescharacteristic
1047#97C2×D411yescharacteristic
1048C4×C8—21no—
1049C4×C8—21no—
1050C4×C8—21no—
1051C4×C8—21no—
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C4×C8C2411yescharacteristic
1056C4×C8C2411yescharacteristic
1057C4×C8C2411yescharacteristic
1058C24—21no—
1059C24—21no—
1060C24—41no—
1061#41—22no—
1062#41—41no—
1063#41—42no—
1064#41—42no—
1065#41—42no—
1066#41—42no—
1067#41—42no—
1068#41—42no—
1069#41—42no—
1070#41—42no—
1071#41—42no—
1072#41—42no—
1073#41—81no—
1074#41—81no—
1075#41—84no—
1076#41—81no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—81no—
1081#41—81no—
1082#41—81no—
1083#41—81no—
1084#41—84no—
1085#41—81no—
1086#41—81no—
1087#41—81no—
1088#41—81no—
1089#41—81no—
1090#41—81no—
1091#41—84no—
1092#41—84no—
1093C2×Q8—21no—
1094C2×Q8—21no—
1095C2×Q8—21no—
1096C2×Q8—21no—
1097C2×Q8—21no—
1098C2×Q8—21no—
1099C2×Q8—41no—
1100C2×Q8—41no—
1101C2×Q8—41no—
1102C2×Q8—42no—
1103C2×Q8—81no—
1104C2×Q8—81no—
1105C2×Q8—81no—
1106C2×Q8—81no—
1107C2×Q8—81no—
1108C2×Q8C22×D411yescharacteristic
1109C2×Q8C22×D411yescharacteristic
1110C2×D4—22no—
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—41no—
1131C2×D4—41no—
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—41no—
1143C2×D4—41no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—84no—
1147C2×D4—84no—
1148C2×D4C22×D411yescharacteristic
1149C2×D4C22×D411yescharacteristic
1150C2×D4C22×D411yescharacteristic
1151C2×D4C22×D411yescharacteristic
1152C2×D4C22×D411yescharacteristic
1153C2×D4C22×D411yescharacteristic
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
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—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—42no—
1172C22×C4—42no—
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—41no—
1186C22×C4—81no—
1187C22×C4—81no—
1188C22×C4—84no—
1189C22×C4—84no—
1190C22×C4C22×D411yescharacteristic
1191C22×C4C22×D411yescharacteristic
1192C22×C4H(5,𝔽2)11yescharacteristic
1193Q16—42no—
1194Q16—81no—
1195Q16—81no—
1196Q16—81no—
1197Q16—81no—
1198Q16—81no—
1199Q16—81no—
1200SD16—22no—
1201SD16—22no—
1202SD16—22no—
1203SD16—41no—
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—41no—
1220D8—41no—
1221D8—41no—
1222D8—42no—
1223D8—42no—
1224D8—81no—
1225D8—81no—
1226D8—81no—
1227D8—81no—
1228D8—81no—
1229D8—81no—
1230D8—81no—
1231M16—41no—
1232M16—41no—
1233M16—42no—
1234M16—81no—
1235M16—81no—
1236M16—81no—
1237M16—81no—
1238M16—81no—
1239M16—81no—
1240M16—81no—
1241M16—81no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—42no—
1253C2×C8—81no—
1254C2×C8—81no—
1255C2×C8—81no—
1256C2×C8—81no—
1257C2×C8C22×D411yescharacteristic
1258C2×C8C22×D411yescharacteristic
1259C2×C8C22×D411yescharacteristic
1260C2×C8C22×D411yescharacteristic
1261C2×C8C22×D411yescharacteristic
1262C2×C8C22×D411yescharacteristic
1263C2×C8C22×D411yescharacteristic
1264C2×C8C22×D411yescharacteristic
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—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
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⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4C22×D411yescharacteristic
1304C4⋊C4C22×D411yescharacteristic
1305C4⋊C4C22×D411yescharacteristic
1306C4⋊C4C22×D411yescharacteristic
1307C4⋊C4C22×D411yescharacteristic
1308C4⋊C4C22×D411yescharacteristic
1309C4⋊C4C22×D411yescharacteristic
1310C4⋊C4C22×D411yescharacteristic
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—21no—
1322C22⋊C4—21no—
1323C22⋊C4—21no—
1324C22⋊C4—21no—
1325C22⋊C4—21no—
1326C22⋊C4—21no—
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—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C42—21no—
1349C42—21no—
1350C42—21no—
1351C42—21no—
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—42no—
1367C23—42no—
1368C23—41no—
1369C23—41no—
1370C23—81no—
1371C23—81no—
1372C23—81no—
1373C23—82no—
1374C23—82no—
1375C23—161no—
1376C23D4211yescharacteristic
1377Q8—21no—
1378Q8—21no—
1379Q8—21no—
1380Q8—41no—
1381Q8—41no—
1382Q8—41no—
1383Q8—41no—
1384Q8—41no—
1385Q8—41no—
1386Q8—41no—
1387Q8—41no—
1388Q8—41no—
1389Q8—41no—
1390Q8—41no—
1391Q8—41no—
1392Q8—82no—
1393Q8—82no—
1394Q8—161no—
1395Q8#57512yes—
1396D4—21no—
1397D4—21no—
1398D4—21no—
1399D4—21no—
1400D4—21no—
1401D4—21no—
1402D4—21no—
1403D4—21no—
1404D4—21no—
1405D4—21no—
1406D4—21no—
1407D4—42no—
1408D4—42no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—81no—
1418D4—82no—
1419D4—82no—
1420D4—81no—
1421D4—81no—
1422D4—81no—
1423D4—82no—
1424D4—82no—
1425D4—82no—
1426D4—82no—
1427D4—82no—
1428D4—82no—
1429D4—82no—
1430D4—82no—
1431D4—82no—
1432D4—161no—
1433D4—161no—
1434D4—161no—
1435D4—161no—
1436D4—161no—
1437D4—161no—
1438D4—161no—
1439D4#57612yes—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
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—41no—
1455C2×C4—42no—
1456C2×C4—42no—
1457C2×C4—42no—
1458C2×C4—42no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
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—81no—
1478C2×C4—81no—
1479C2×C4—81no—
1480C2×C4—82no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4—81no—
1485C2×C4—82no—
1486C2×C4—82no—
1487C2×C4—82no—
1488C2×C4—82no—
1489C2×C4—82no—
1490C2×C4—82no—
1491C2×C4—82no—
1492C2×C4—161no—
1493C2×C4—161no—
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—21no—
1523C22—22no—
1524C22—21no—
1525C22—41no—
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—84no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—162no—
1550C22—164no—
1551C22C2×D4211yescharacteristic
1552C4—21no—
1553C4—22no—
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—81no—
1567C4—81no—
1568C4—81no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4C2×#57511yescharacteristic
1573C4C2×#57611yescharacteristic
1574C4#358511yescharacteristic
1575C4#358511yescharacteristic
1576C2—41no—
1577C2—42no—
1578C2—81no—
1579C2—81no—
1580C2—81no—
1581C2—81no—
1582C2—81no—
1583C2—161no—
1584C2—161no—
1585C2#6106611yescharacteristic
1586C2#6107211yescharacteristic
1587C2#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. #62003C2semidirect
2. #61595C2semidirect
3. #61545C2semidirect
4. #61161C2semidirect
5. #20304C2semidirect
6. #20255C2semidirect
7. #20186C2semidirect
8. #20171C2semidirect
9. #20162C2semidirect
10. #20063C2semidirect
11. #20056C2semidirect
12. #20045C2semidirect
13. #20028C2semidirect
14. #19998C2semidirect
15. #19908C2semidirect
16. #19886C2semidirect
17. #19831C2semidirect
18. #19820C2semidirect
19. #19779C2semidirect
20. #19758C2semidirect
21. #19730C2semidirect
22. #19497C2semidirect
23. #19461C2semidirect
24. #19383C2semidirect
25. #19304C2semidirect
26. #18859C2semidirect
27. #18822C2semidirect
28. #18806C2semidirect
29. #18756C2semidirect
30. #18052C2semidirect
31. #18008C2semidirect
32. #3520C22semidirect
36. #3397C22semidirect
37. #3392C22semidirect
38. #3391C22semidirect
39. #3386C22semidirect
40. #3364C22semidirect
41. #3359C22semidirect
42. #3358C22semidirect
43. #3358C22semidirect
45. #3334C22semidirect
50. #3332C22semidirect
51. #3332C22semidirect
56. #3330C22semidirect
57. #3330C22semidirect
58. #3330C22semidirect
67. #3302C22semidirect
72. #3284C22semidirect
74. #3283C22semidirect
76. #3276C22semidirect
78. #3274C22semidirect
80. #3272C22semidirect
87. #3226C22semidirect
88. #3218C22semidirect
89. #3209C22semidirect
94. #3182C22semidirect
103. #3100C22semidirect
114. #2974C22semidirect
115. #2969C22semidirect
120. #1723C22semidirect
121. #1722C22semidirect
122. #1720C22semidirect
123. #1719C22semidirect
124. #1719C22semidirect
125. #1717C22semidirect
126. #1710C22semidirect
127. #1709C22semidirect
128. #1702C22semidirect
129. #1701C22semidirect
130. #1701C22semidirect
131. #1701C22semidirect
132. #1700C22semidirect
133. #1699C22semidirect
134. #1699C22semidirect
135. #1699C22semidirect
136. #1699C22semidirect
137. #1699C22semidirect
138. #1693C22semidirect
139. #1689C22semidirect
140. #1689C22semidirect
141. #1687C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1682C22semidirect
145. #1681C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1680C22semidirect
149. #1680C22semidirect
150. #1680C22semidirect
151. #1679C22semidirect
152. #1679C22semidirect
153. #1679C22semidirect
154. #1673C22semidirect
155. #1670C22semidirect
156. #1670C22semidirect
157. #1667C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1654C22semidirect
162. #1651C22semidirect
163. #1651C22semidirect
164. #1650C22semidirect
165. #1649C22semidirect
166. #1648C22semidirect
167. #1648C22semidirect
170. #1647C22semidirect
171. #1647C22semidirect
172. #1647C22semidirect
173. #1647C22semidirect
174. #1647C22semidirect
175. #1647C22semidirect
176. #1642C22semidirect
177. #1642C22semidirect
178. #1642C22semidirect
179. #1641C22semidirect
180. #1641C22semidirect
181. #1641C22semidirect
182. #1639C22semidirect
183. #1639C22semidirect
184. #1628C22semidirect
185. #1627C22semidirect
188. #1625C22semidirect
189. #1625C22semidirect
190. #1625C22semidirect
191. #1625C22semidirect
192. #1594C22semidirect
193. #1592C22semidirect
194. #1589C22semidirect
195. #1589C22semidirect
196. #1588C22semidirect
197. #1586C22semidirect
198. #1586C22semidirect
199. #1585C22semidirect
200. #1583C22semidirect
201. #1583C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×SD16C22semidirect
208. #1574C22semidirect
209. #1569C22semidirect
210. #1561C22semidirect
211. #1557C22semidirect
213. #1546C22semidirect
214. #1495C22semidirect
216. #1486C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#620032
#615952
#615452
#611612
#203042
#202552
#201862
#201712
#201622
#200632
#200562
#200452
#200282
#199982
#199082
#198862
#198312
#198202
#197792
#197582
#197302
#194972
#194612
#193832
#193042
#188592
#188222
#188062
#187562
#180522
#180082