Finite Group Databasebeta

← #6364280

Subgroups — #6364280

Order 512.

1718 conjugacy classes of subgroups.

The subgroup lattice has 1613 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61947C211yesmaximal, characteristic, complemented
2#61912C211yesmaximal, characteristic, complemented
3#61662C211yesmaximal, characteristic, complemented
4#61608C211yesmaximal, characteristic, complemented
5#20168C211yesmaximal, characteristic, complemented
6#20160C211yesmaximal, characteristic, complemented
7#20057C211yesmaximal, characteristic, complemented
8#20054C211yesmaximal, characteristic, complemented
9#20037C211yesmaximal, characteristic, complemented
10#20036C211yesmaximal, characteristic, complemented
11#19995C211yesmaximal, characteristic, complemented
12#19970C211yesmaximal, characteristic, complemented
13#19900C211yesmaximal, characteristic, complemented
14#19888C211yesmaximal, characteristic, complemented
15#19867C211yesmaximal, characteristic, complemented
16#19787C211yesmaximal, characteristic, complemented
17#19786C211yesmaximal, characteristic, complemented
18#19777C211yesmaximal, characteristic, complemented
19#19762C211yesmaximal, characteristic, complemented
20#19756C211yesmaximal, characteristic, complemented
21#19735C211yesmaximal, characteristic, complemented
22#19557C211yesmaximal, characteristic, complemented
23#19522C211yesmaximal, characteristic, complemented
24#19456C211yesmaximal, characteristic, complemented
25#19413C211yesmaximal, characteristic, complemented
26#18948C211yesmaximal, characteristic, complemented
27#18916C211yesmaximal, characteristic, complemented
28#18814C211yesmaximal, characteristic, complemented
29#18806C211yesmaximal, characteristic, complemented
30#18026C211yesmaximal, characteristic, complemented
31#17921C211yesmaximal, characteristic, complemented
32#3550C2211yescharacteristic, complemented
33#3506C2211yescharacteristic, complemented
34#3498C2211yescharacteristic
35D4×#41C2211yescharacteristic
36#3403—21no—
37#3403—21no—
38#3397C2211yescharacteristic, complemented
39#3397C2211yescharacteristic, complemented
40#3393C2211yescharacteristic, complemented
41#3393C2211yescharacteristic, complemented
42#3391C2211yescharacteristic
43#3391C2211yescharacteristic
44#3375—21no—
45#3375—21no—
46#3367C2211yescharacteristic, complemented
47#3367C2211yescharacteristic, complemented
48#3358C2211yescharacteristic
49#3358C2211yescharacteristic
50#3358C2211yescharacteristic, complemented
51#3358C2211yescharacteristic, complemented
52#3328C2211yescharacteristic, complemented
53#3324—21no—
54#3324C2211yescharacteristic, complemented
55#3324C2211yescharacteristic, complemented
56#3324C2211yescharacteristic, complemented
57#3321—21no—
58#3319—21no—
59#3304—21no—
60#3304C2211yescharacteristic, complemented
61#3304C2211yescharacteristic, complemented
62#3304C2211yescharacteristic, complemented
63#3302C2211yescharacteristic, complemented
64#3294—21no—
65#3294—21no—
66#3294C2211yescharacteristic
67#3294C2211yescharacteristic
68#3287C2211yescharacteristic, complemented
69#3284C2211yescharacteristic, complemented
70D4×SD16—21no—
71D4×SD16C2211yescharacteristic, complemented
72D4×SD16C2211yescharacteristic, complemented
73D4×D8—21no—
74D4×D8—21no—
75D4×D8C2211yescharacteristic
76D4×D8C2211yescharacteristic
77#3278—21no—
78#3278C2211yescharacteristic, complemented
79#3278C2211yescharacteristic, complemented
80#3278C2211yescharacteristic, complemented
81#3274C2211yescharacteristic, complemented
82#3269—21no—
83#3267—21no—
84#3245—21no—
85#3245C2211yescharacteristic
86#3228C2211yescharacteristic, complemented
87#3224—21no—
88#3224—21no—
89#3216C2211yescharacteristic, complemented
90#3214C2211yescharacteristic, complemented
91#3210C2211yescharacteristic, complemented
92#3208C2211yescharacteristic, complemented
93#3208C2211yescharacteristic, complemented
94#3207C2211yescharacteristic, complemented
95#3205—21no—
96#3205C2211yescharacteristic
97#3205C2211yescharacteristic, complemented
98#3200—21no—
99#3200—21no—
100#3197—21no—
101#3191—21no—
102#3124—21no—
103#3124—21no—
104#3115C2211yescharacteristic
105#3110C2211yescharacteristic, complemented
106#3107C2211yescharacteristic
107#3107C2211yescharacteristic
108#3100—21no—
109#3100C2211yescharacteristic
110C2×#459—21no—
111C2×#459C2211yescharacteristic
112#3009—21no—
113#3009—21no—
114#3005—21no—
115#3002—21no—
116#2988C2211yescharacteristic
117#2985C2211yescharacteristic, complemented
118#2979C2211yescharacteristic, complemented
119#2974C2211yescharacteristic, complemented
120#1721C2211yescharacteristic, complemented
121#1721C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1719C2211yescharacteristic, complemented
124#1717C2211yescharacteristic, complemented
125#1715C2211yescharacteristic, complemented
126#1709C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1701C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1699C2211yescharacteristic, complemented
134#1688C2211yescharacteristic, complemented
135#1688C2211yescharacteristic, complemented
136#1687C2211yescharacteristic, complemented
137#1685C2211yescharacteristic, complemented
138#1685C2211yescharacteristic, complemented
139#1685C2211yescharacteristic, complemented
140#1682C2211yescharacteristic, complemented
141#1682C2211yescharacteristic, complemented
142#1682C2211yescharacteristic, complemented
143#1681C2211yescharacteristic, complemented
144#1681C2211yescharacteristic, complemented
145#1681C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1680C2211yescharacteristic, complemented
148#1679C2211yescharacteristic, complemented
149#1679C2211yescharacteristic, complemented
150#1670C2211yescharacteristic, complemented
151#1669C2211yescharacteristic, complemented
152#1668C2211yescharacteristic, complemented
153#1668C2211yescharacteristic, complemented
154#1667C2211yescharacteristic, complemented
155#1666C2211yescharacteristic, complemented
156#1665C2211yescharacteristic, complemented
157#1665C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1652C2211yescharacteristic, complemented
162#1652C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1649C2211yescharacteristic, complemented
165#1649C2211yescharacteristic, complemented
166#1649C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1642C2211yescharacteristic, complemented
169#1642C2211yescharacteristic, complemented
170#1642C2211yescharacteristic, complemented
171#1641C2211yescharacteristic, complemented
172#1639C2211yescharacteristic, complemented
173#1639C2211yescharacteristic, complemented
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1628C2211yescharacteristic, complemented
177#1628C2211yescharacteristic, complemented
178#1628C2211yescharacteristic, complemented
179#1628C2211yescharacteristic, complemented
180#1628C2211yescharacteristic, complemented
181#1628C2211yescharacteristic, complemented
182#1627C2211yescharacteristic, complemented
183#1627C2211yescharacteristic, complemented
184#1621C2211yescharacteristic, complemented
185#1621C2211yescharacteristic, complemented
186#1621C2211yescharacteristic, complemented
187#1621C2211yescharacteristic, complemented
188#1621C2211yescharacteristic, complemented
189#1621C2211yescharacteristic, complemented
190#1619C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1589C2211yescharacteristic, complemented
194#1587C2211yescharacteristic, complemented
195#1586C2211yescharacteristic, complemented
196#1586C2211yescharacteristic, complemented
197#1585C2211yescharacteristic, complemented
198#1584C2211yescharacteristic, complemented
199#1582C2211yescharacteristic, complemented
200#1581C2211yescharacteristic, complemented
201#1581C2211yescharacteristic, complemented
202#1580C2211yescharacteristic, complemented
203#1579C2211yescharacteristic, complemented
204SD16⋊C8C2211yescharacteristic, complemented
205C8×Q16C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1572C2211yescharacteristic, complemented
210#1555C2211yescharacteristic, complemented
211#1553C2211yescharacteristic, complemented
212#1552C2211yescharacteristic, complemented
213#1540C2211yescharacteristic, complemented
214#1496C2211yescharacteristic, complemented
215#1488C2211yescharacteristic
216#1481C2211yescharacteristic, complemented
217#1478C2211yescharacteristic, complemented
218#1454C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C22×#41—21no—
221C2×#137—21no—
222C2×#137—21no—
223C2×#137—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×#135—21no—
226C2×#135—21no—
227C22×SD16—21no—
228C22×SD16—21no—
229C22×D8—21no—
230C22×D8—21no—
231C22×D8—21no—
232#563—41no—
233#559—21no—
234#559—21no—
235#559—21no—
236Q82—21no—
237#556—21no—
238#556C2311yescharacteristic
239#556C2311yescharacteristic
240#556C2311yescharacteristic
241#556C2311yescharacteristic
242#555—21no—
243#553—41no—
244#550—21no—
245#550C2311yescharacteristic
246#550C2311yescharacteristic
247#550C2311yescharacteristic
248#550C2311yescharacteristic
249#550C2311yescharacteristic
250D4×Q8—21no—
251D4×Q8C2311yescharacteristic
252D4×Q8C2311yescharacteristic
253D4×Q8C2311yescharacteristic
254#548—21no—
255#547—21no—
256#547—21no—
257#547C2311yescharacteristic
258#546—21no—
259#546—41no—
260D42—21no—
261D42—21no—
262D42—21no—
263D42—21no—
264D42—41no—
265D42C2311yescharacteristic
266D42C2311yescharacteristic
267D42C2311yescharacteristic
268#542—21no—
269#542—21no—
270#542—41no—
271#538—41no—
272#536—21no—
273#536—21no—
274#535—21no—
275#535—21no—
276#535—41no—
277#533C2311yescharacteristic
278#533C2311yescharacteristic
279#532—21no—
280#532—21no—
281#532C2311yescharacteristic
282#532C2311yescharacteristic
283#532C2311yescharacteristic
284C2×#127—21no—
285C2×#127C2311yescharacteristic
286#525—21no—
287#525—21no—
288#525—21no—
289#525—41no—
290#520—21no—
291C4×#41C2311yescharacteristic
292C2×C4×D4—21no—
293C2×C4×D4C2311yescharacteristic
294#500C2311yescharacteristic
295#498C2311yescharacteristic
296#497—21no—
297#496—21no—
298#496—21no—
299#496—21no—
300#495—21no—
301#495—21no—
302#494C2311yescharacteristic
303#493—21no—
304#493—21no—
305#493C2311yescharacteristic
306#493C2311yescharacteristic
307#493C2311yescharacteristic
308#493C2311yescharacteristic
309#493C2311yescharacteristic
310#492—21no—
311#492C2311yescharacteristic
312#492C2311yescharacteristic
313#492C2311yescharacteristic
314#492C2311yescharacteristic
315#489—21no—
316#489—21no—
317#489—21no—
318#489—21no—
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#486—21no—
322#486—21no—
323#486—21no—
324#486—21no—
325#486—21no—
326#486C2311yescharacteristic
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#486C2311yescharacteristic
336#485—21no—
337#485—21no—
338#485—21no—
339#485D411yescharacteristic
340#485D411yescharacteristic
341#484—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#482—41no—
350#480—21no—
351#480—21no—
352#480D411yescharacteristic
353#480D411yescharacteristic
354#478—41no—
355#477—21no—
356#477—21no—
357#475D411yescharacteristic
358#475C2311yescharacteristic
359#475C2311yescharacteristic
360#474—21no—
361#474—21no—
362#474—21no—
363#474—21no—
364#474—21no—
365#474D411yescharacteristic
366#474D411yescharacteristic
367#474D411yescharacteristic
368#474C2311yescharacteristic
369#474C2311yescharacteristic
370#474C2311yescharacteristic
371#474C2311yescharacteristic
372#474C2311yescharacteristic
373#474C2311yescharacteristic
374#470—21no—
375#469—21no—
376#468—21no—
377#468—21no—
378#468—21no—
379#468—21no—
380#468—21no—
381#468—21no—
382#467—21no—
383#466—21no—
384#466—21no—
385#466—21no—
386#466—21no—
387#466—21no—
388#466—21no—
389#466—21no—
390#465—21no—
391#465—21no—
392#465—21no—
393#465—21no—
394#465—21no—
395#465—21no—
396#464—21no—
397#464—21no—
398#464—21no—
399#464—21no—
400#464—21no—
401#464—21no—
402#463—21no—
403#463—21no—
404#463—21no—
405#463—21no—
406#463—21no—
407#463—21no—
408#462D411yescharacteristic
409#462C2311yescharacteristic
410#462C2311yescharacteristic
411#462C2311yescharacteristic
412#461D411yescharacteristic
413#461C2311yescharacteristic
414#461C2311yescharacteristic
415#461C2311yescharacteristic
416#461C2311yescharacteristic
417#461C2311yescharacteristic
418#460—21no—
419#460—21no—
420#460—21no—
421#460—21no—
422#460C2311yescharacteristic
423#460C2311yescharacteristic
424#460C2311yescharacteristic
425#460C2311yescharacteristic
426#460C2311yescharacteristic
427#460C2311yescharacteristic
428#460C2311yescharacteristic
429#459—21no—
430#459—21no—
431#459—21no—
432#459—21no—
433#459—21no—
434#459—21no—
435#459—21no—
436#459—21no—
437#459—21no—
438#459—21no—
439#459—21no—
440#459—21no—
441#459—21no—
442#459—41no—
443#459D411yescharacteristic
444#459D411yescharacteristic
445#459C2311yescharacteristic
446#459C2311yescharacteristic
447#459C2311yescharacteristic
448#459C2311yescharacteristic
449#459C2311yescharacteristic
450#459C2311yescharacteristic
451#459C2311yescharacteristic
452#459C2311yescharacteristic
453#459C2311yescharacteristic
454#452—21no—
455#452—21no—
456#452—21no—
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#452—21no—
466#452—21no—
467#452D411yescharacteristic
468#452D411yescharacteristic
469#451—21no—
470#450—21no—
471#450—21no—
472#450—21no—
473#450—21no—
474#450—21no—
475#450—21no—
476#450—21no—
477#450—21no—
478#450—21no—
479#450—21no—
480#449—21no—
481#449—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449—21no—
489#448—21no—
490#448—21no—
491#448—21no—
492#448—21no—
493#448—21no—
494#447—21no—
495#447—21no—
496#447—21no—
497#447—21no—
498#447—21no—
499#447—21no—
500#447—21no—
501#447—21no—
502#447—21no—
503#447—41no—
504#447D411yescharacteristic
505#447D411yescharacteristic
506#446—21no—
507#446—21no—
508#446C2311yescharacteristic
509#446C2311yescharacteristic
510C8×Q8C2311yescharacteristic
511C8×Q8C2311yescharacteristic
512C8×Q8C2311yescharacteristic
513C8×Q8C2311yescharacteristic
514#442—21no—
515#440—21no—
516#440—21no—
517#440—21no—
518#440—21no—
519#440—21no—
520#440—21no—
521#440—21no—
522C4×Q16—21no—
523C4×Q16—21no—
524C4×Q16—21no—
525C4×Q16C2311yescharacteristic
526C4×Q16C2311yescharacteristic
527C4×SD16—21no—
528C4×SD16C2311yescharacteristic
529C4×SD16C2311yescharacteristic
530C4×D8—21no—
531C4×D8—21no—
532C4×D8—21no—
533C4×D8—21no—
534C4×D8—21no—
535C4×D8—21no—
536C4×D8C2311yescharacteristic
537C4×D8C2311yescharacteristic
538C4×D8C2311yescharacteristic
539C4×D8C2311yescharacteristic
540#436—21no—
541#436C2311yescharacteristic
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#436C2311yescharacteristic
545#435—21no—
546#435—21no—
547C8×D4—21no—
548C8×D4—21no—
549C8×D4—21no—
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552C8×D4C2311yescharacteristic
553C8×D4C2311yescharacteristic
554C8×D4C2311yescharacteristic
555C8×D4C2311yescharacteristic
556#433—21no—
557#433—21no—
558#432C2311yescharacteristic
559#432C2311yescharacteristic
560#431—21no—
561#431C2311yescharacteristic
562#431C2311yescharacteristic
563#431C2311yescharacteristic
564#431C2311yescharacteristic
565C2×C4⋊C8—21no—
566C2×C4⋊C8C2311yescharacteristic
567#419—21no—
568#418—21no—
569#418—21no—
570#418—21no—
571#416—21no—
572#416—21no—
573#416—21no—
574#416—21no—
575C2×#102—21no—
576C2×#102—21no—
577C2×#102—21no—
578#408—21no—
579#408—21no—
580#407—21no—
581C2×C22⋊C8—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#331C2311yescharacteristic
599#331C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625C82C2311yescharacteristic
626H(5,𝔽2)—82no—
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—41no—
638C2×#41—41no—
639C2×#41—41no—
640C2×#41—82no—
641C2×#41—82no—
642C2×#41C2×D411yescharacteristic
643C22×Q8—21no—
644C22×Q8—21no—
645C22×Q8—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4—41no—
658C22×D4—41no—
659C22×D4—41no—
660C22×D4C2×D411yescharacteristic
661C23×C4—21no—
662C23×C4—41no—
663#137—82no—
664#137—82no—
665#137—82no—
666AGL(1,ℤ/8)—82no—
667#135—82no—
668#135—82no—
669C2×Q16—21no—
670C2×Q16—21no—
671C2×Q16—21no—
672C2×Q16—21no—
673C2×Q16—21no—
674C2×Q16C2×D411yescharacteristic
675C2×Q16C2×D411yescharacteristic
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—21no—
692C2×SD16—21no—
693C2×SD16—21no—
694C2×SD16—21no—
695C2×SD16—21no—
696C2×SD16—82no—
697C2×SD16—82no—
698C2×SD16C2×D411yescharacteristic
699C2×SD16C2×D411yescharacteristic
700C2×D8—21no—
701C2×D8—21no—
702C2×D8—21no—
703C2×D8—21no—
704C2×D8—21no—
705C2×D8—21no—
706C2×D8—21no—
707C2×D8—21no—
708C2×D8—21no—
709C2×D8—21no—
710C2×D8—21no—
711C2×D8—21no—
712C2×D8—21no—
713C2×D8—21no—
714C2×D8—21no—
715C2×D8—41no—
716C2×D8—41no—
717C2×D8—82no—
718C2×D8—82no—
719C2×D8—82no—
720C2×D8C2×D411yescharacteristic
721C2×D8C2×D411yescharacteristic
722C2×D8C2×D411yescharacteristic
723C2×D8C2×D411yescharacteristic
724C2×M16—21no—
725C2×M16—21no—
726C2×M16—21no—
727C2×M16—21no—
728C22×C8—21no—
729C22×C8—21no—
730C22×C8—21no—
731C22×C8—21no—
732C22×C8—21no—
733C22×C8—21no—
734C22×C8—21no—
735C4⋊Q8—21no—
736C4⋊Q8—21no—
737C4⋊Q8—21no—
738C4⋊Q8—41no—
739C4⋊Q8—41no—
740C4⋊Q8—41no—
741C4⋊Q8C2×D411yescharacteristic
742C4⋊Q8C2×D411yescharacteristic
743C4⋊Q8C2×D411yescharacteristic
744C4⋊Q8C2411yescharacteristic
745C4⋊Q8C2411yescharacteristic
746C4⋊Q8C2411yescharacteristic
747C4⋊Q8C2411yescharacteristic
748#127—21no—
749#127—21no—
750#127—21no—
751#127—21no—
752#127—21no—
753#127—21no—
754#127—21no—
755#127—21no—
756#127—41no—
757#127—41no—
758#127C2×D411yescharacteristic
759#127C2411yescharacteristic
760#127C2411yescharacteristic
761#127C2411yescharacteristic
762#127C2411yescharacteristic
763#126—41no—
764#126—41no—
765#126—41no—
766#126—41no—
767#126—41no—
768#126—41no—
769#125—21no—
770#125—21no—
771#124—21no—
772#124—21no—
773#124—21no—
774#124—21no—
775#124—21no—
776#124—21no—
777#124—21no—
778#124—41no—
779#124—41no—
780#124—41no—
781#124—41no—
782#124—41no—
783#124—41no—
784#124—41no—
785#123—41no—
786#123—41no—
787#123—41no—
788#123—41no—
789#123—41no—
790#123—41no—
791#123—41no—
792#123—41no—
793#123—41no—
794#123—41no—
795#123—41no—
796C22⋊Q8—21no—
797C22⋊Q8—21no—
798C22⋊Q8—21no—
799C22⋊Q8—21no—
800C22⋊Q8—21no—
801C22⋊Q8—21no—
802C22⋊Q8—21no—
803C22⋊Q8—21no—
804C22⋊Q8—21no—
805C22⋊Q8—21no—
806C22⋊Q8—21no—
807C22⋊Q8—41no—
808C22⋊Q8—41no—
809C22⋊Q8—41no—
810C22⋊Q8—41no—
811C22⋊Q8—41no—
812C22⋊Q8—41no—
813C22⋊Q8C2×D411yescharacteristic
814C22⋊Q8C2×D411yescharacteristic
815#121—21no—
816#121—21no—
817#121—21no—
818#121—21no—
819#121—21no—
820#121—21no—
821#121—21no—
822#121—21no—
823#121—21no—
824#121—21no—
825#121—21no—
826#121—21no—
827#121—21no—
828#121—21no—
829#121—21no—
830#121—21no—
831#121—21no—
832#121—41no—
833#121—41no—
834#121—41no—
835#121—41no—
836#121—41no—
837#121—41no—
838#121—41no—
839#121—41no—
840#121—41no—
841#121—41no—
842#121—41no—
843#121—41no—
844#121C2×D411yescharacteristic
845#121C2×D411yescharacteristic
846#120—41no—
847#120—41no—
848#120—41no—
849#120—41no—
850#120—41no—
851#120—41no—
852#120—41no—
853#120—41no—
854#120—41no—
855#120—41no—
856#120—41no—
857C4×Q8—21no—
858C4×Q8—21no—
859C4×Q8—21no—
860C4×Q8—21no—
861C4×Q8—21no—
862C4×Q8—21no—
863C4×Q8—21no—
864C4×Q8—41no—
865C4×Q8C2×D411yescharacteristic
866C4×Q8C2411yescharacteristic
867C4×Q8C2411yescharacteristic
868C4×Q8C2411yescharacteristic
869C4×D4—21no—
870C4×D4—21no—
871C4×D4—21no—
872C4×D4—21no—
873C4×D4—21no—
874C4×D4—21no—
875C4×D4—21no—
876C4×D4—21no—
877C4×D4—21no—
878C4×D4—21no—
879C4×D4—21no—
880C4×D4—21no—
881C4×D4—21no—
882C4×D4—21no—
883C4×D4—21no—
884C4×D4—21no—
885C4×D4—21no—
886C4×D4—41no—
887C4×D4—41no—
888C4×D4—41no—
889C4×D4—41no—
890C4×D4—41no—
891C4×D4—41no—
892C4×D4—41no—
893C4×D4—41no—
894C4×D4—41no—
895C4×D4C2×D411yescharacteristic
896C4×D4C2×D411yescharacteristic
897C4×D4C2×D411yescharacteristic
898C4×D4C2411yescharacteristic
899C4×D4C2411yescharacteristic
900C4×D4C2411yescharacteristic
901C4×D4C2411yescharacteristic
902C4×D4C2411yescharacteristic
903#117—21no—
904#117—21no—
905#117—21no—
906#117—21no—
907#117—21no—
908#117—21no—
909#117—21no—
910#117—41no—
911#117C2×D411yescharacteristic
912C2×C4⋊C4—21no—
913C2×C4⋊C4—41no—
914C2×C4⋊C4C2×D411yescharacteristic
915C2×C22⋊C4—21no—
916C2×C22⋊C4—41no—
917C2×C42—21no—
918C2×C42C2411yescharacteristic
919#107—21no—
920#107—21no—
921#107—21no—
922#107—21no—
923#107—21no—
924#107—21no—
925#107—41no—
926#107C2×D411yescharacteristic
927#107C2×D411yescharacteristic
928#107C2×D411yescharacteristic
929#107C2×D411yescharacteristic
930#107C2×D411yescharacteristic
931#107C2×D411yescharacteristic
932#106—21no—
933#106—21no—
934#106—41no—
935#106C2×D411yescharacteristic
936#106C2×D411yescharacteristic
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8—21no—
943C4⋊C8—21no—
944C4⋊C8—21no—
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2×D411yescharacteristic
947C4⋊C8C2×D411yescharacteristic
948C4⋊C8C2×D411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955C4⋊C8C2411yescharacteristic
956C4⋊C8C2411yescharacteristic
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#103C2×D411yescharacteristic
972#103C2×D411yescharacteristic
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#102—21no—
978#102—21no—
979#102—21no—
980#102—21no—
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—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
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⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8C2×D411yescharacteristic
1040C22⋊C8C2×D411yescharacteristic
1041C22⋊C8C2×D411yescharacteristic
1042C22⋊C8C2×D411yescharacteristic
1043#97—21no—
1044#97—21no—
1045#97—21no—
1046#97—21no—
1047C4×C8—21no—
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—41no—
1060C24—41no—
1061C24—41no—
1062C24—41no—
1063#41—22no—
1064#41—22no—
1065#41—42no—
1066#41—42no—
1067#41—42no—
1068#41—42no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075#41—84no—
1076#41—84no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—81no—
1081#41—81no—
1082#41—81no—
1083#41—81no—
1084#41—81no—
1085#41—84no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—41no—
1093C2×Q8—41no—
1094C2×Q8—41no—
1095C2×Q8—42no—
1096C2×Q8—81no—
1097C2×Q8—81no—
1098C2×Q8—81no—
1099C2×Q8—81no—
1100C2×Q8—81no—
1101C2×Q8C22×D411yescharacteristic
1102C2×Q8C22×D411yescharacteristic
1103C2×Q8C22×D411yescharacteristic
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
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—21no—
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—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—84no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—84no—
1164C2×D4—84no—
1165C2×D4—84no—
1166C2×D4—161no—
1167C2×D4—162no—
1168C2×D4C22×D411yescharacteristic
1169C2×D4C22×D411yescharacteristic
1170C2×D4C22×D411yescharacteristic
1171C2×D4C22×D411yescharacteristic
1172C2×D4C22×D411yescharacteristic
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—81no—
1195C22×C4—81no—
1196C22×C4—84no—
1197C22×C4C22×D411yescharacteristic
1198C22×C4C22×D411yescharacteristic
1199C22×C4H(5,𝔽2)11yescharacteristic
1200Q16—22no—
1201Q16—22no—
1202Q16—42no—
1203Q16—81no—
1204Q16—81no—
1205Q16—81no—
1206Q16—81no—
1207SD16—22no—
1208SD16—22no—
1209SD16—42no—
1210SD16—42no—
1211SD16—81no—
1212SD16—81no—
1213SD16—81no—
1214SD16—81no—
1215SD16—81no—
1216SD16—81no—
1217SD16—81no—
1218SD16—81no—
1219SD16—81no—
1220SD16—81no—
1221SD16—81no—
1222SD16—81no—
1223SD16—81no—
1224SD16—81no—
1225SD16—81no—
1226SD16—81no—
1227SD16—81no—
1228SD16—81no—
1229D8—41no—
1230D8—41no—
1231D8—41no—
1232D8—41no—
1233D8—42no—
1234D8—42no—
1235D8—42no—
1236D8—81no—
1237D8—81no—
1238D8—81no—
1239D8—81no—
1240D8—81no—
1241D8—81no—
1242D8—81no—
1243D8—81no—
1244D8—81no—
1245D8—81no—
1246D8—81no—
1247D8—81no—
1248D8—161no—
1249D8—161no—
1250M16—81no—
1251M16—81no—
1252M16—81no—
1253M16—81no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—81no—
1265C2×C8—81no—
1266C2×C8—81no—
1267C2×C8—81no—
1268C2×C8—81no—
1269C2×C8—81no—
1270C2×C8—81no—
1271C2×C8C22×D411yescharacteristic
1272C2×C8C22×D411yescharacteristic
1273C2×C8C22×D411yescharacteristic
1274C2×C8C22×D411yescharacteristic
1275C2×C8C22×D411yescharacteristic
1276C2×C8C22×D411yescharacteristic
1277C2×C8C22×D411yescharacteristic
1278C2×C8C22×D411yescharacteristic
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4C22×D411yescharacteristic
1309C4⋊C4C22×D411yescharacteristic
1310C4⋊C4C22×D411yescharacteristic
1311C4⋊C4C22×D411yescharacteristic
1312C4⋊C4C22×D411yescharacteristic
1313C4⋊C4C22×D411yescharacteristic
1314C4⋊C4C22×D411yescharacteristic
1315C4⋊C4C22×D411yescharacteristic
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—21no—
1328C22⋊C4—21no—
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—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C42—21no—
1355C42—21no—
1356C42—21no—
1357C42—21no—
1358C42—21no—
1359C42—41no—
1360C42—41no—
1361C42—41no—
1362C42—41no—
1363C42—41no—
1364C42C22×D411yescharacteristic
1365C42C22×D411yescharacteristic
1366C42H(5,𝔽2)11yescharacteristic
1367C42C2511yescharacteristic
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—81no—
1378C23—81no—
1379C23—81no—
1380C23—82no—
1381C23—82no—
1382C23—82no—
1383C23—82no—
1384C23—82no—
1385C23—161no—
1386C23—161no—
1387C23—161no—
1388C23—161no—
1389C23—161no—
1390C23—161no—
1391C23—161no—
1392C23D4211yescharacteristic
1393Q8—21no—
1394Q8—21no—
1395Q8—21no—
1396Q8—21no—
1397Q8—21no—
1398Q8—41no—
1399Q8—41no—
1400Q8—41no—
1401Q8—41no—
1402Q8—41no—
1403Q8—41no—
1404Q8—41no—
1405Q8—41no—
1406Q8—81no—
1407Q8—81no—
1408Q8—82no—
1409Q8—161no—
1410Q8—161no—
1411Q8#57612yes—
1412D4—24no—
1413D4—21no—
1414D4—21no—
1415D4—21no—
1416D4—21no—
1417D4—21no—
1418D4—21no—
1419D4—21no—
1420D4—21no—
1421D4—21no—
1422D4—42no—
1423D4—41no—
1424D4—41no—
1425D4—41no—
1426D4—41no—
1427D4—41no—
1428D4—41no—
1429D4—41no—
1430D4—41no—
1431D4—41no—
1432D4—41no—
1433D4—41no—
1434D4—41no—
1435D4—41no—
1436D4—41no—
1437D4—41no—
1438D4—41no—
1439D4—81no—
1440D4—81no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—81no—
1445D4—81no—
1446D4—81no—
1447D4—81no—
1448D4—82no—
1449D4—82no—
1450D4—81no—
1451D4—81no—
1452D4—82no—
1453D4—82no—
1454D4—82no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—161no—
1460D4—161no—
1461D4—161no—
1462D4—161no—
1463D4—161no—
1464D4—161no—
1465D4—161no—
1466D4—161no—
1467D4—161no—
1468D4—161no—
1469D4#57612yes—
1470C2×C4—24no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—81no—
1502C2×C4—81no—
1503C2×C4—81no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4—82no—
1509C2×C4—82no—
1510C2×C4—81no—
1511C2×C4—82no—
1512C2×C4—161no—
1513C2×C4—161no—
1514C2×C4—161no—
1515C2×C4—161no—
1516C2×C4D4211yescharacteristic
1517C2×C4D4211yescharacteristic
1518C2×C4D4211yescharacteristic
1519C2×C4C23×D411yescharacteristic
1520C2×C4C23×D411yescharacteristic
1521C2×C4C2×H(5,𝔽2)11yescharacteristic
1522C8—21no—
1523C8—21no—
1524C8—21no—
1525C8—21no—
1526C8—21no—
1527C8—21no—
1528C8—21no—
1529C8—21no—
1530C8—41no—
1531C8—41no—
1532C8—41no—
1533C8—41no—
1534C8—41no—
1535C8—41no—
1536C8—41no—
1537C8—41no—
1538C8—41no—
1539C8—41no—
1540C22—21no—
1541C22—22no—
1542C22—21no—
1543C22—21no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—162no—
1571C22—164no—
1572C22—322no—
1573C22—322no—
1574C22—322no—
1575C22C2×D4211yescharacteristic
1576C4—21no—
1577C4—22no—
1578C4—21no—
1579C4—21no—
1580C4—21no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—81no—
1592C4—81no—
1593C4—81no—
1594C4—81no—
1595C4C2×#57611yescharacteristic
1596C4C2×#57611yescharacteristic
1597C4#358411yescharacteristic
1598C4#358511yescharacteristic
1599C2—41no—
1600C2—42no—
1601C2—81no—
1602C2—81no—
1603C2—81no—
1604C2—81no—
1605C2—161no—
1606C2—161no—
1607C2—161no—
1608C2—161no—
1609C2#6104911yescharacteristic
1610C2#6107711yescharacteristic
1611C2#6110711yescharacteristic
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. #61947C2semidirect
2. #61912C2semidirect
3. #61662C2semidirect
4. #61608C2semidirect
5. #20168C2semidirect
6. #20160C2semidirect
7. #20057C2semidirect
8. #20054C2semidirect
9. #20037C2semidirect
10. #20036C2semidirect
11. #19995C2semidirect
12. #19970C2semidirect
13. #19900C2semidirect
14. #19888C2semidirect
15. #19867C2semidirect
16. #19787C2semidirect
17. #19786C2semidirect
18. #19777C2semidirect
19. #19762C2semidirect
20. #19756C2semidirect
21. #19735C2semidirect
22. #19557C2semidirect
23. #19522C2semidirect
24. #19456C2semidirect
25. #19413C2semidirect
26. #18948C2semidirect
27. #18916C2semidirect
28. #18814C2semidirect
29. #18806C2semidirect
30. #18026C2semidirect
31. #17921C2semidirect
32. #3550C22semidirect
33. #3506C22semidirect
38. #3397C22semidirect
39. #3397C22semidirect
40. #3393C22semidirect
41. #3393C22semidirect
46. #3367C22semidirect
47. #3367C22semidirect
50. #3358C22semidirect
51. #3358C22semidirect
52. #3328C22semidirect
54. #3324C22semidirect
55. #3324C22semidirect
56. #3324C22semidirect
60. #3304C22semidirect
61. #3304C22semidirect
62. #3304C22semidirect
63. #3302C22semidirect
68. #3287C22semidirect
69. #3284C22semidirect
71. D4×SD16C22semidirect
72. D4×SD16C22semidirect
78. #3278C22semidirect
79. #3278C22semidirect
80. #3278C22semidirect
81. #3274C22semidirect
86. #3228C22semidirect
89. #3216C22semidirect
90. #3214C22semidirect
91. #3210C22semidirect
92. #3208C22semidirect
93. #3208C22semidirect
94. #3207C22semidirect
97. #3205C22semidirect
105. #3110C22semidirect
117. #2985C22semidirect
118. #2979C22semidirect
119. #2974C22semidirect
120. #1721C22semidirect
121. #1721C22semidirect
122. #1720C22semidirect
123. #1719C22semidirect
124. #1717C22semidirect
125. #1715C22semidirect
126. #1709C22semidirect
127. #1706C22semidirect
128. #1702C22semidirect
129. #1702C22semidirect
130. #1701C22semidirect
131. #1701C22semidirect
132. #1701C22semidirect
133. #1699C22semidirect
134. #1688C22semidirect
135. #1688C22semidirect
136. #1687C22semidirect
137. #1685C22semidirect
138. #1685C22semidirect
139. #1685C22semidirect
140. #1682C22semidirect
141. #1682C22semidirect
142. #1682C22semidirect
143. #1681C22semidirect
144. #1681C22semidirect
145. #1681C22semidirect
146. #1681C22semidirect
147. #1680C22semidirect
148. #1679C22semidirect
149. #1679C22semidirect
150. #1670C22semidirect
151. #1669C22semidirect
152. #1668C22semidirect
153. #1668C22semidirect
154. #1667C22semidirect
155. #1666C22semidirect
156. #1665C22semidirect
157. #1665C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1652C22semidirect
162. #1652C22semidirect
163. #1651C22semidirect
164. #1649C22semidirect
165. #1649C22semidirect
166. #1649C22semidirect
167. #1647C22semidirect
168. #1642C22semidirect
169. #1642C22semidirect
170. #1642C22semidirect
171. #1641C22semidirect
172. #1639C22semidirect
173. #1639C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
176. #1628C22semidirect
177. #1628C22semidirect
178. #1628C22semidirect
179. #1628C22semidirect
180. #1628C22semidirect
181. #1628C22semidirect
182. #1627C22semidirect
183. #1627C22semidirect
184. #1621C22semidirect
185. #1621C22semidirect
186. #1621C22semidirect
187. #1621C22semidirect
188. #1621C22semidirect
189. #1621C22semidirect
190. #1619C22semidirect
191. #1619C22semidirect
192. #1594C22semidirect
193. #1589C22semidirect
194. #1587C22semidirect
195. #1586C22semidirect
196. #1586C22semidirect
197. #1585C22semidirect
198. #1584C22semidirect
199. #1582C22semidirect
200. #1581C22semidirect
201. #1581C22semidirect
202. #1580C22semidirect
203. #1579C22semidirect
204. SD16⋊C8C22semidirect
205. C8×Q16C22semidirect
206. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1572C22semidirect
210. #1555C22semidirect
211. #1553C22semidirect
212. #1552C22semidirect
213. #1540C22semidirect
214. #1496C22semidirect
216. #1481C22semidirect
217. #1478C22semidirect
218. #1454C22semidirect

Maximal subgroups

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

subgroupindex
#619472
#619122
#616622
#616082
#201682
#201602
#200572
#200542
#200372
#200362
#199952
#199702
#199002
#198882
#198672
#197872
#197862
#197772
#197622
#197562
#197352
#195572
#195222
#194562
#194132
#189482
#189162
#188142
#188062
#180262
#179212