Finite Group Databasebeta

← #6369281

Subgroups — #6369281

Order 512.

1731 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61996C211yesmaximal, characteristic, complemented
2#61598C211yesmaximal, characteristic, complemented
3#61451C211yesmaximal, characteristic, complemented
4#61199C211yesmaximal, characteristic, complemented
5#20290C211yesmaximal, characteristic, complemented
6#20266C211yesmaximal, characteristic, complemented
7#20178C211yesmaximal, characteristic, complemented
8#20164C211yesmaximal, characteristic, complemented
9#20162C211yesmaximal, characteristic, complemented
10#20139C211yesmaximal, characteristic, complemented
11#20081C211yesmaximal, characteristic, complemented
12#20038C211yesmaximal, characteristic, complemented
13#20022C211yesmaximal, characteristic, complemented
14#19988C211yesmaximal, characteristic, complemented
15#19912C211yesmaximal, characteristic, complemented
16#19884C211yesmaximal, characteristic, complemented
17#19824C211yesmaximal, characteristic, complemented
18#19793C211yesmaximal, characteristic, complemented
19#19773C211yesmaximal, characteristic, complemented
20#19755C211yesmaximal, characteristic, complemented
21#19722C211yesmaximal, characteristic, complemented
22#19492C211yesmaximal, characteristic, complemented
23#19457C211yesmaximal, characteristic, complemented
24#19370C211yesmaximal, characteristic, complemented
25#19319C211yesmaximal, characteristic, complemented
26#18838C211yesmaximal, characteristic, complemented
27#18832C211yesmaximal, characteristic, complemented
28#18798C211yesmaximal, characteristic, complemented
29#18754C211yesmaximal, characteristic, complemented
30#18052C211yesmaximal, characteristic, complemented
31#18007C211yesmaximal, characteristic, complemented
32#3511C2211yescharacteristic, complemented
33#3496C2211yescharacteristic, complemented
34#3481C2211yescharacteristic, complemented
35D4×#41C2211yescharacteristic
36#3399C2211yescharacteristic, complemented
37#3394C2211yescharacteristic, complemented
38#3394C2211yescharacteristic, complemented
39#3384C2211yescharacteristic, complemented
40#3373C2211yescharacteristic, complemented
41#3366C2211yescharacteristic, complemented
42#3360C2211yescharacteristic, complemented
43#3360C2211yescharacteristic, complemented
44#3345—21no—
45#3335C2211yescharacteristic, complemented
46#3332C2211yescharacteristic, complemented
47#3331C2211yescharacteristic, complemented
48#3331C2211yescharacteristic, complemented
49#3330C2211yescharacteristic
50#3330C2211yescharacteristic
51#3330C2211yescharacteristic, complemented
52#3326—21no—
53#3326—21no—
54#3324C2211yescharacteristic, complemented
55#3324C2211yescharacteristic, complemented
56#3319—21no—
57#3319—21no—
58#3318—21no—
59#3314—21no—
60#3314—21no—
61#3308—21no—
62#3306—21no—
63#3306—21no—
64#3302C2211yescharacteristic, complemented
65#3302C2211yescharacteristic, complemented
66#3298C2211yescharacteristic, complemented
67#3295C2211yescharacteristic, complemented
68#3294C2211yescharacteristic
69#3294C2211yescharacteristic
70#3294C2211yescharacteristic, complemented
71#3294C2211yescharacteristic, complemented
72D4×SD16C2211yescharacteristic, complemented
73D4×D8C2211yescharacteristic
74D4×D8C2211yescharacteristic, complemented
75#3275—21no—
76#3275—21no—
77#3274C2211yescharacteristic, complemented
78#3272C2211yescharacteristic
79#3272C2211yescharacteristic, complemented
80#3272C2211yescharacteristic, complemented
81#3265—21no—
82#3264—21no—
83#3264—21no—
84#3253C2211yescharacteristic, complemented
85#3252—21no—
86#3226C2211yescharacteristic, complemented
87#3214C2211yescharacteristic, complemented
88#3212—21no—
89#3207C2211yescharacteristic, complemented
90#3207C2211yescharacteristic, complemented
91#3206C2211yescharacteristic, complemented
92#3194—21no—
93#3188—21no—
94#3184C2211yescharacteristic, complemented
95#3180—21no—
96#3141C2211yescharacteristic, complemented
97#3115C2211yescharacteristic
98#3115C2211yescharacteristic, complemented
99#3114—21no—
100#3109—21no—
101#3109C2211yescharacteristic
102#3106C2211yescharacteristic
103#3101—21no—
104#3098—21no—
105C2×#474C2211yescharacteristic, complemented
106#3061—21no—
107#3039C2211yescharacteristic, complemented
108#3036—21no—
109#3035C2211yescharacteristic, complemented
110#3012—21no—
111#3006—21no—
112C2×#449—21no—
113#2991C2211yescharacteristic, complemented
114#2974C2211yescharacteristic, complemented
115#2970C2211yescharacteristic, complemented
116C4×AGL(1,ℤ/8)C2211yescharacteristic
117C2×#442—21no—
118#2935C2211yescharacteristic, complemented
119#2897—21no—
120#1721C2211yescharacteristic, complemented
121#1719C2211yescharacteristic, complemented
122#1718C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1717C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1711C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1700C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1691C2211yescharacteristic, complemented
139#1687C2211yescharacteristic, complemented
140#1687C2211yescharacteristic, complemented
141#1685C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1682C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1681C2211yescharacteristic, complemented
149#1681C2211yescharacteristic, complemented
150#1680C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1679C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1671C2211yescharacteristic, complemented
155#1668C2211yescharacteristic, complemented
156#1667C2211yescharacteristic, complemented
157#1666C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1650C2211yescharacteristic, complemented
161#1650C2211yescharacteristic, complemented
162#1649C2211yescharacteristic, complemented
163#1649C2211yescharacteristic, complemented
164#1647C2211yescharacteristic, complemented
165#1647C2211yescharacteristic, complemented
166#1647C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1644C2211yescharacteristic, complemented
169#1643C2211yescharacteristic, complemented
170#1641C2211yescharacteristic, complemented
171#1641C2211yescharacteristic, complemented
172#1640C2211yescharacteristic, complemented
173#1639C2211yescharacteristic, complemented
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1635C2211yescharacteristic, complemented
177#1635C2211yescharacteristic, complemented
178#1629C2211yescharacteristic, complemented
179#1629C2211yescharacteristic, complemented
180#1628C2211yescharacteristic, complemented
181#1628C2211yescharacteristic, complemented
182#1625C2211yescharacteristic
183#1625C2211yescharacteristic, complemented
184#1625C2211yescharacteristic, complemented
185#1625C2211yescharacteristic, complemented
186#1622C2211yescharacteristic, complemented
187#1622C2211yescharacteristic, complemented
188#1620C2211yescharacteristic, complemented
189#1619C2211yescharacteristic
190#1619C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1586C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1557C2211yescharacteristic, complemented
211#1556C2211yescharacteristic, complemented
212#1551C2211yescharacteristic, complemented
213#1547C2211yescharacteristic, complemented
214#1496C2211yescharacteristic, complemented
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic, complemented
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)—21no—
225C2×AGL(1,ℤ/8)—21no—
226C2×AGL(1,ℤ/8)D411yescharacteristic
227C2×#135—21no—
228C22×SD16—21no—
229C22×D8—21no—
230C22×D8—21no—
231C2×#131—21no—
232#559C2311yescharacteristic
233#556C2311yescharacteristic
234#556C2311yescharacteristic
235#555—21no—
236#554—21no—
237#554C2311yescharacteristic
238#554C2311yescharacteristic
239#553—21no—
240#553—21no—
241#553—41no—
242#551—41no—
243#550C2311yescharacteristic
244D4×Q8C2311yescharacteristic
245#548—21no—
246#548—21no—
247#548—21no—
248#547—21no—
249#547—21no—
250#547C2311yescharacteristic
251#547C2311yescharacteristic
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#546—21no—
256#546—21no—
257#546—21no—
258#546—21no—
259#546—21no—
260#546—41no—
261#546—41no—
262D42—21no—
263D42—21no—
264D42C2311yescharacteristic
265D42C2311yescharacteristic
266D42C2311yescharacteristic
267D42C2311yescharacteristic
268#542—41no—
269#537—21no—
270#537—21no—
271#534—41no—
272#533—21no—
273#532—21no—
274#532—21no—
275#532C2311yescharacteristic
276#532C2311yescharacteristic
277#532C2311yescharacteristic
278#532C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280#529—21no—
281#529—21no—
282#525—21no—
283#525—41no—
284#525—41no—
285C2×#121—21no—
286C2×#121—21no—
287#520—21no—
288C4×#41C2311yescharacteristic
289C4×#41C2311yescharacteristic
290C2×C4×D4—21no—
291C2×C4×D4—21no—
292C2×C4×D4—21no—
293C2×C4×D4C2311yescharacteristic
294#501—21no—
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#498C2311yescharacteristic
298#496—21no—
299#496—21no—
300#495—21no—
301#495—21no—
302#493C2311yescharacteristic
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#492C2311yescharacteristic
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#490—21no—
310#489—21no—
311#489—21no—
312#489—21no—
313#489—21no—
314#488—21no—
315#488—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#484—21no—
333#484—21no—
334#484—21no—
335#483—21no—
336#483—21no—
337#483—21no—
338#483—21no—
339#482—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482D411yescharacteristic
344#482D411yescharacteristic
345#481—21no—
346#481—21no—
347#481—21no—
348#481—21no—
349#480—21no—
350#480—21no—
351#480—21no—
352#480—21no—
353#480—41no—
354#479—21no—
355#479—21no—
356#478—21no—
357#478—21no—
358#477D411yescharacteristic
359#476—21no—
360#476—21no—
361#476—21no—
362#476D411yescharacteristic
363#476C2311yescharacteristic
364#476C2311yescharacteristic
365#476C2311yescharacteristic
366#476C2311yescharacteristic
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#470—21no—
379#470—21no—
380#469—21no—
381#469—21no—
382#469—21no—
383#469—21no—
384#469—21no—
385#469—21no—
386#468—21no—
387#468—21no—
388#468—21no—
389#468—21no—
390#468—21no—
391#468—21no—
392#468—21no—
393#468—21no—
394#467—21no—
395#467—21no—
396#466—21no—
397#466—21no—
398#466—21no—
399#466—21no—
400#466—21no—
401#466—21no—
402#465—21no—
403#465—21no—
404#465—21no—
405#465—21no—
406#464—21no—
407#464—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#463—21no—
418#463—41no—
419#462—21no—
420#462C2311yescharacteristic
421#462C2311yescharacteristic
422#462C2311yescharacteristic
423#461—21no—
424#461—21no—
425#461—21no—
426#461C2311yescharacteristic
427#461C2311yescharacteristic
428#461C2311yescharacteristic
429#461C2311yescharacteristic
430#461C2311yescharacteristic
431#460D411yescharacteristic
432#460C2311yescharacteristic
433#460C2311yescharacteristic
434#460C2311yescharacteristic
435#459—21no—
436#459—21no—
437#459—21no—
438#459D411yescharacteristic
439#459C2311yescharacteristic
440#459C2311yescharacteristic
441#459C2311yescharacteristic
442#459C2311yescharacteristic
443#459C2311yescharacteristic
444#459C2311yescharacteristic
445#459C2311yescharacteristic
446#459C2311yescharacteristic
447#459C2311yescharacteristic
448#452—21no—
449#452—21no—
450#452—21no—
451#452—21no—
452#450—21no—
453#450—21no—
454#450—21no—
455#450—21no—
456#450—21no—
457#450—21no—
458#450—21no—
459#449—21no—
460#449—21no—
461#449—21no—
462#449—21no—
463#449—21no—
464#449—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—41no—
474#449D411yescharacteristic
475#449D411yescharacteristic
476#448—21no—
477#448—21no—
478#448—21no—
479#448—21no—
480#447—21no—
481#447—21no—
482#447—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
492C8×Q8C2311yescharacteristic
493C8×Q8C2311yescharacteristic
494#442—21no—
495#442—21no—
496#442—21no—
497#442—21no—
498#442—21no—
499#442—21no—
500#442—21no—
501#442—21no—
502#442—21no—
503#442—21no—
504#442D411yescharacteristic
505#442D411yescharacteristic
506#440—21no—
507#440—21no—
508#440D411yescharacteristic
509#440D411yescharacteristic
510C4×SD16—21no—
511C4×SD16—21no—
512C4×SD16—21no—
513C4×SD16—21no—
514C4×SD16C2311yescharacteristic
515C4×SD16C2311yescharacteristic
516C4×SD16C2311yescharacteristic
517C4×SD16C2311yescharacteristic
518C4×D8C2311yescharacteristic
519C4×D8C2311yescharacteristic
520C4×D8C2311yescharacteristic
521C4×D8C2311yescharacteristic
522#436—21no—
523#436—21no—
524#436C2311yescharacteristic
525#436C2311yescharacteristic
526#436C2311yescharacteristic
527#436C2311yescharacteristic
528#436C2311yescharacteristic
529#436C2311yescharacteristic
530#435—21no—
531#435—21no—
532#435—21no—
533#435—21no—
534#435—21no—
535#435—21no—
536C8×D4C2311yescharacteristic
537C8×D4C2311yescharacteristic
538C8×D4C2311yescharacteristic
539C8×D4C2311yescharacteristic
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic
542#432—21no—
543#432C2311yescharacteristic
544#432C2311yescharacteristic
545#431—21no—
546#431C2311yescharacteristic
547#431C2311yescharacteristic
548#428D411yescharacteristic
549C2×#107—21no—
550C2×#106—21no—
551#423—21no—
552#423C2311yescharacteristic
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#417—21no—
565#417—21no—
566#417D411yescharacteristic
567#416—21no—
568#416—21no—
569#416—21no—
570C2×#103—21no—
571C2×#102—21no—
572C2×#102—21no—
573C2×#102—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577#408—21no—
578#407—21no—
579C2×C22⋊C8—21no—
580C4×M16C2311yescharacteristic
581C2×#97—21no—
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
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×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×D4C2×D411yescharacteristic
660C23×C4—21no—
661C23×C4—41no—
662C23×C4—41no—
663#137—82no—
664AGL(1,ℤ/8)—42no—
665AGL(1,ℤ/8)—82no—
666AGL(1,ℤ/8)—82no—
667AGL(1,ℤ/8)—82no—
668AGL(1,ℤ/8)—82no—
669#135—82no—
670C2×Q16—21no—
671C2×Q16—21no—
672C2×Q16—21no—
673C2×SD16—21no—
674C2×SD16—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—41no—
688C2×SD16—82no—
689C2×SD16C2×D411yescharacteristic
690C2×SD16C2×D411yescharacteristic
691C2×SD16C2×D411yescharacteristic
692C2×SD16C2×D411yescharacteristic
693C2×D8—21no—
694C2×D8—21no—
695C2×D8—21no—
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×D8—21no—
706C2×D8—41no—
707C2×D8—44no—
708C2×D8—82no—
709C2×D8C2×D411yescharacteristic
710C2×D8C2×D411yescharacteristic
711C2×D8C2×D411yescharacteristic
712C2×D8C2×D411yescharacteristic
713#131—82no—
714C2×M16—21no—
715C2×M16—21no—
716C2×M16—21no—
717C2×M16—21no—
718C2×M16—21no—
719C2×M16—21no—
720C2×M16—21no—
721C2×M16C2×D411yescharacteristic
722C2×M16C2×D411yescharacteristic
723C22×C8—21no—
724C22×C8—21no—
725C22×C8—21no—
726C22×C8—21no—
727C22×C8—21no—
728C22×C8—21no—
729C22×C8—21no—
730C4⋊Q8—21no—
731C4⋊Q8—21no—
732C4⋊Q8—21no—
733C4⋊Q8—21no—
734C4⋊Q8C2×D411yescharacteristic
735C4⋊Q8C2411yescharacteristic
736C4⋊Q8C2411yescharacteristic
737C4⋊Q8C2411yescharacteristic
738C4⋊Q8C2411yescharacteristic
739C4⋊Q8C2411yescharacteristic
740#127—21no—
741#127C2×D411yescharacteristic
742#127C2411yescharacteristic
743#127C2411yescharacteristic
744#127C2411yescharacteristic
745#126—41no—
746#126—41no—
747#126—41no—
748#126—41no—
749#125—21no—
750#125—21no—
751#125—41no—
752#124—21no—
753#124—21no—
754#124—21no—
755#124—21no—
756#124—21no—
757#124—21no—
758#124—21no—
759#124—21no—
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—
775#123—41no—
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—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794#121—21no—
795#121—21no—
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—21no—
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#121—41no—
828#121—41no—
829#121C2×D411yescharacteristic
830#121C2×D411yescharacteristic
831#120—41no—
832#120—41no—
833#120—41no—
834#120—41no—
835#120—41no—
836#120—41no—
837#120—41no—
838#120—41no—
839#120—41no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8—41no—
843C4×Q8C2×D411yescharacteristic
844C4×Q8C2×D411yescharacteristic
845C4×Q8C2411yescharacteristic
846C4×Q8C2411yescharacteristic
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—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—21no—
866C4×D4—41no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4—41no—
871C4×D4—41no—
872C4×D4—41no—
873C4×D4—41no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4C2×D411yescharacteristic
878C4×D4C2×D411yescharacteristic
879C4×D4C2×D411yescharacteristic
880C4×D4C2×D411yescharacteristic
881C4×D4C2411yescharacteristic
882C4×D4C2411yescharacteristic
883C4×D4C2411yescharacteristic
884C4×D4C2411yescharacteristic
885C4×D4C2411yescharacteristic
886C4×D4C2411yescharacteristic
887#117—21no—
888#117—21no—
889#117—21no—
890#117—21no—
891#117—41no—
892#117—41no—
893#117C2×D411yescharacteristic
894#117C2×D411yescharacteristic
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—21no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4C2×D411yescharacteristic
905C2×C22⋊C4—21no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C42—21no—
912C2×C42—21no—
913C2×C42C2411yescharacteristic
914#107—21no—
915#107—21no—
916#107—21no—
917#107—21no—
918#107—21no—
919#107—21no—
920#107—41no—
921#107—41no—
922#107C2×D411yescharacteristic
923#107C2×D411yescharacteristic
924#107C2×D411yescharacteristic
925#107C2×D411yescharacteristic
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—21no—
931#106—21no—
932#106—21no—
933#106—21no—
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—41no—
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
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—21no—
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#97C2×D411yescharacteristic
1049#97C2×D411yescharacteristic
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—41no—
1065#41—42no—
1066#41—42no—
1067#41—41no—
1068#41—41no—
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—84no—
1082#41—81no—
1083#41—81no—
1084#41—81no—
1085#41—81no—
1086#41—84no—
1087#41—84no—
1088#41—161no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—21no—
1094C2×Q8—21no—
1095C2×Q8—41no—
1096C2×Q8—41no—
1097C2×Q8—42no—
1098C2×Q8—81no—
1099C2×Q8—81no—
1100C2×Q8—81no—
1101C2×Q8C22×D411yescharacteristic
1102C2×Q8C22×D411yescharacteristic
1103C2×D4—22no—
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—41no—
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—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—84no—
1156C2×D4—84no—
1157C2×D4—84no—
1158C2×D4—84no—
1159C2×D4C22×D411yescharacteristic
1160C2×D4C22×D411yescharacteristic
1161C2×D4C22×D411yescharacteristic
1162C2×D4C22×D411yescharacteristic
1163C2×D4C22×D411yescharacteristic
1164C2×D4C22×D411yescharacteristic
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—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
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—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—81no—
1193C22×C4—81no—
1194C22×C4—84no—
1195C22×C4—162no—
1196C22×C4C22×D411yescharacteristic
1197C22×C4C22×D411yescharacteristic
1198C22×C4H(5,𝔽2)11yescharacteristic
1199Q16—81no—
1200Q16—81no—
1201Q16—81no—
1202SD16—22no—
1203SD16—41no—
1204SD16—41no—
1205SD16—41no—
1206SD16—42no—
1207SD16—42no—
1208SD16—42no—
1209SD16—81no—
1210SD16—81no—
1211SD16—81no—
1212SD16—81no—
1213SD16—81no—
1214SD16—81no—
1215SD16—81no—
1216SD16—81no—
1217SD16—81no—
1218SD16—81no—
1219SD16—81no—
1220SD16—161no—
1221D8—22no—
1222D8—22no—
1223D8—22no—
1224D8—41no—
1225D8—42no—
1226D8—42no—
1227D8—42no—
1228D8—42no—
1229D8—81no—
1230D8—81no—
1231D8—81no—
1232D8—81no—
1233D8—81no—
1234D8—81no—
1235D8—81no—
1236D8—81no—
1237D8—81no—
1238D8—161no—
1239M16—41no—
1240M16—41no—
1241M16—81no—
1242M16—81no—
1243M16—81no—
1244M16—81no—
1245M16—81no—
1246M16—81no—
1247M16—81no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—42no—
1259C2×C8—42no—
1260C2×C8—81no—
1261C2×C8—81no—
1262C2×C8—81no—
1263C2×C8—81no—
1264C2×C8—81no—
1265C2×C8C22×D411yescharacteristic
1266C2×C8C22×D411yescharacteristic
1267C2×C8C22×D411yescharacteristic
1268C2×C8C22×D411yescharacteristic
1269C2×C8C22×D411yescharacteristic
1270C2×C8C22×D411yescharacteristic
1271C2×C8C22×D411yescharacteristic
1272C2×C8C22×D411yescharacteristic
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—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
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—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—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C42—21no—
1352C42—21no—
1353C42—21no—
1354C42—21no—
1355C42—21no—
1356C42—21no—
1357C42—41no—
1358C42—41no—
1359C42C22×D411yescharacteristic
1360C42C22×D411yescharacteristic
1361C42H(5,𝔽2)11yescharacteristic
1362C42C2511yescharacteristic
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—42no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—81no—
1374C23—81no—
1375C23—82no—
1376C23—82no—
1377C23—82no—
1378C23—82no—
1379C23—82no—
1380C23—82no—
1381C23—161no—
1382C23—161no—
1383C23—161no—
1384C23—161no—
1385C23—161no—
1386C23—161no—
1387C23D4211yescharacteristic
1388Q8—21no—
1389Q8—21no—
1390Q8—21no—
1391Q8—21no—
1392Q8—42no—
1393Q8—41no—
1394Q8—41no—
1395Q8—41no—
1396Q8—41no—
1397Q8—41no—
1398Q8—41no—
1399Q8—41no—
1400Q8—41no—
1401Q8—81no—
1402Q8—82no—
1403Q8—161no—
1404D4—21no—
1405D4—21no—
1406D4—21no—
1407D4—21no—
1408D4—21no—
1409D4—21no—
1410D4—21no—
1411D4—21no—
1412D4—21no—
1413D4—21no—
1414D4—42no—
1415D4—42no—
1416D4—42no—
1417D4—42no—
1418D4—42no—
1419D4—41no—
1420D4—41no—
1421D4—41no—
1422D4—41no—
1423D4—41no—
1424D4—41no—
1425D4—41no—
1426D4—41no—
1427D4—41no—
1428D4—41no—
1429D4—41no—
1430D4—41no—
1431D4—81no—
1432D4—81no—
1433D4—81no—
1434D4—81no—
1435D4—81no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—161no—
1449D4—161no—
1450D4—161no—
1451D4—161no—
1452D4—161no—
1453D4—161no—
1454D4#57512yes—
1455D4#57612yes—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—41no—
1471C2×C4—42no—
1472C2×C4—42no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—81no—
1491C2×C4—81no—
1492C2×C4—81no—
1493C2×C4—81no—
1494C2×C4—82no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—81no—
1498C2×C4—82no—
1499C2×C4—82no—
1500C2×C4—82no—
1501C2×C4—82no—
1502C2×C4—82no—
1503C2×C4—161no—
1504C2×C4—161no—
1505C2×C4—161no—
1506C2×C4—161no—
1507C2×C4—161no—
1508C2×C4—161no—
1509C2×C4D4211yescharacteristic
1510C2×C4D4211yescharacteristic
1511C2×C4D4211yescharacteristic
1512C2×C4C23×D411yescharacteristic
1513C2×C4C23×D411yescharacteristic
1514C2×C4C2×H(5,𝔽2)11yescharacteristic
1515C8—21no—
1516C8—21no—
1517C8—21no—
1518C8—21no—
1519C8—21no—
1520C8—21no—
1521C8—21no—
1522C8—21no—
1523C8—41no—
1524C8—41no—
1525C8—41no—
1526C8—41no—
1527C8—41no—
1528C8—41no—
1529C8—41no—
1530C8—41no—
1531C8—41no—
1532C8—41no—
1533C22—21no—
1534C22—22no—
1535C22—21no—
1536C22—22no—
1537C22—21no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—162no—
1564C22—164no—
1565C22—164no—
1566C22—322no—
1567C22—322no—
1568C22C2×D4211yescharacteristic
1569C4—21no—
1570C4—21no—
1571C4—21no—
1572C4—21no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—81no—
1584C4—81no—
1585C4—81no—
1586C4—81no—
1587C4—81no—
1588C4C2×#57511yescharacteristic
1589C4C2×#57611yescharacteristic
1590C4#358511yescharacteristic
1591C4#358511yescharacteristic
1592C2—41no—
1593C2—42no—
1594C2—42no—
1595C2—81no—
1596C2—81no—
1597C2—81no—
1598C2—81no—
1599C2—161no—
1600C2—161no—
1601C2—161no—
1602C2#6106611yescharacteristic
1603C2#6107211yescharacteristic
1604C2#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. #61996C2semidirect
2. #61598C2semidirect
3. #61451C2semidirect
4. #61199C2semidirect
5. #20290C2semidirect
6. #20266C2semidirect
7. #20178C2semidirect
8. #20164C2semidirect
9. #20162C2semidirect
10. #20139C2semidirect
11. #20081C2semidirect
12. #20038C2semidirect
13. #20022C2semidirect
14. #19988C2semidirect
15. #19912C2semidirect
16. #19884C2semidirect
17. #19824C2semidirect
18. #19793C2semidirect
19. #19773C2semidirect
20. #19755C2semidirect
21. #19722C2semidirect
22. #19492C2semidirect
23. #19457C2semidirect
24. #19370C2semidirect
25. #19319C2semidirect
26. #18838C2semidirect
27. #18832C2semidirect
28. #18798C2semidirect
29. #18754C2semidirect
30. #18052C2semidirect
31. #18007C2semidirect
32. #3511C22semidirect
33. #3496C22semidirect
34. #3481C22semidirect
36. #3399C22semidirect
37. #3394C22semidirect
38. #3394C22semidirect
39. #3384C22semidirect
40. #3373C22semidirect
41. #3366C22semidirect
42. #3360C22semidirect
43. #3360C22semidirect
45. #3335C22semidirect
46. #3332C22semidirect
47. #3331C22semidirect
48. #3331C22semidirect
51. #3330C22semidirect
54. #3324C22semidirect
55. #3324C22semidirect
64. #3302C22semidirect
65. #3302C22semidirect
66. #3298C22semidirect
67. #3295C22semidirect
70. #3294C22semidirect
71. #3294C22semidirect
72. D4×SD16C22semidirect
74. D4×D8C22semidirect
77. #3274C22semidirect
79. #3272C22semidirect
80. #3272C22semidirect
84. #3253C22semidirect
86. #3226C22semidirect
87. #3214C22semidirect
89. #3207C22semidirect
90. #3207C22semidirect
91. #3206C22semidirect
94. #3184C22semidirect
96. #3141C22semidirect
98. #3115C22semidirect
105. C2×#474C22semidirect
107. #3039C22semidirect
109. #3035C22semidirect
113. #2991C22semidirect
114. #2974C22semidirect
115. #2970C22semidirect
118. #2935C22semidirect
120. #1721C22semidirect
121. #1719C22semidirect
122. #1718C22semidirect
123. #1717C22semidirect
124. #1717C22semidirect
125. #1714C22semidirect
126. #1711C22semidirect
127. #1706C22semidirect
128. #1703C22semidirect
129. #1703C22semidirect
130. #1702C22semidirect
131. #1702C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1700C22semidirect
135. #1700C22semidirect
136. #1699C22semidirect
137. #1697C22semidirect
138. #1691C22semidirect
139. #1687C22semidirect
140. #1687C22semidirect
141. #1685C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1683C22semidirect
145. #1683C22semidirect
146. #1682C22semidirect
147. #1681C22semidirect
148. #1681C22semidirect
149. #1681C22semidirect
150. #1680C22semidirect
151. #1679C22semidirect
152. #1679C22semidirect
153. #1677C22semidirect
154. #1671C22semidirect
155. #1668C22semidirect
156. #1667C22semidirect
157. #1666C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1650C22semidirect
161. #1650C22semidirect
162. #1649C22semidirect
163. #1649C22semidirect
164. #1647C22semidirect
165. #1647C22semidirect
166. #1647C22semidirect
167. #1647C22semidirect
168. #1644C22semidirect
169. #1643C22semidirect
170. #1641C22semidirect
171. #1641C22semidirect
172. #1640C22semidirect
173. #1639C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
176. #1635C22semidirect
177. #1635C22semidirect
178. #1629C22semidirect
179. #1629C22semidirect
180. #1628C22semidirect
181. #1628C22semidirect
183. #1625C22semidirect
184. #1625C22semidirect
185. #1625C22semidirect
186. #1622C22semidirect
187. #1622C22semidirect
188. #1620C22semidirect
190. #1619C22semidirect
191. #1619C22semidirect
192. #1594C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1589C22semidirect
196. #1588C22semidirect
197. #1586C22semidirect
198. #1586C22semidirect
199. #1585C22semidirect
200. #1583C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1569C22semidirect
210. #1557C22semidirect
211. #1556C22semidirect
212. #1551C22semidirect
213. #1547C22semidirect
214. #1496C22semidirect
215. #1488C22semidirect
216. #1486C22semidirect
217. #1477C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#619962
#615982
#614512
#611992
#202902
#202662
#201782
#201642
#201622
#201392
#200812
#200382
#200222
#199882
#199122
#198842
#198242
#197932
#197732
#197552
#197222
#194922
#194572
#193702
#193192
#188382
#188322
#187982
#187542
#180522
#180072