Finite Group Databasebeta

← #6365683

Subgroups — #6365683

Order 512.

1606 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62123C211yesmaximal, characteristic, complemented
2#62033C211yesmaximal, characteristic, complemented
3#62031C211yesmaximal, characteristic, complemented
4#61975C211yesmaximal, characteristic, complemented
5#20312C211yesmaximal, characteristic, complemented
6#20303C211yesmaximal, characteristic, complemented
7#20299C211yesmaximal, characteristic, complemented
8#20286C211yesmaximal, characteristic, complemented
9#20284C211yesmaximal, characteristic, complemented
10#20274C211yesmaximal, characteristic, complemented
11#20256C211yesmaximal, characteristic, complemented
12#20230C211yesmaximal, characteristic, complemented
13#20202C211yesmaximal, characteristic, complemented
14#20177C211yesmaximal, characteristic, complemented
15#20173C211yesmaximal, characteristic, complemented
16#20158C211yesmaximal, characteristic, complemented
17#20154C211yesmaximal, characteristic, complemented
18#20064C211yesmaximal, characteristic, complemented
19#20051C211yesmaximal, characteristic, complemented
20#20024C211yesmaximal, characteristic, complemented
21#19719C211yesmaximal, characteristic, complemented
22#19549C211yesmaximal, characteristic, complemented
23#19542C211yesmaximal, characteristic, complemented
24#19446C211yesmaximal, characteristic, complemented
25#19445C211yesmaximal, characteristic, complemented
26#18712C211yesmaximal, characteristic, complemented
27#18596C211yesmaximal, characteristic, complemented
28#18595C211yesmaximal, characteristic, complemented
29#18548C211yesmaximal, characteristic, complemented
30#17955C211yesmaximal, characteristic, complemented
31#17954C211yesmaximal, characteristic, complemented
32#3543C2211yescharacteristic
33#3515C2211yescharacteristic, complemented
34#3514C2211yescharacteristic
35#3483C2211yescharacteristic, complemented
36#3400C2211yescharacteristic, complemented
37#3399C2211yescharacteristic
38#3399C2211yescharacteristic, complemented
39#3397C2211yescharacteristic, complemented
40#3396C2211yescharacteristic
41#3392C2211yescharacteristic
42#3387C2211yescharacteristic, complemented
43#3385C2211yescharacteristic, complemented
44#3375C2211yescharacteristic, complemented
45#3373C2211yescharacteristic
46#3369C2211yescharacteristic, complemented
47#3368C2211yescharacteristic, complemented
48#3366C2211yescharacteristic
49#3366C2211yescharacteristic, complemented
50#3361C2211yescharacteristic, complemented
51#3358C2211yescharacteristic
52#3357C2211yescharacteristic, complemented
53#3354C2211yescharacteristic, complemented
54#3348—21no—
55#3347—21no—
56#3333C2211yescharacteristic, complemented
57#3333C2211yescharacteristic, complemented
58#3332C2211yescharacteristic, complemented
59#3329C2211yescharacteristic, complemented
60#3325—21no—
61#3325C2211yescharacteristic, complemented
62#3324C2211yescharacteristic
63#3323—21no—
64#3321—21no—
65#3319—21no—
66#3319—21no—
67#3317—21no—
68#3310—21no—
69#3309—21no—
70#3304C2211yescharacteristic
71#3295C2211yescharacteristic
72#3284C2211yescharacteristic, complemented
73D4×D8C2211yescharacteristic
74#3278C2211yescharacteristic, complemented
75#3274C2211yescharacteristic
76#3274C2211yescharacteristic, complemented
77#3273—21no—
78#3272—21no—
79#3272C2211yescharacteristic
80#3271—21no—
81#3268—21no—
82#3267—21no—
83#3264—21no—
84#3260—21no—
85#3257—21no—
86#3252C2211yescharacteristic
87#3251—21no—
88#3251—21no—
89#3251C2211yescharacteristic
90#3247C2211yescharacteristic
91#3247C2211yescharacteristic, complemented
92#3234—21no—
93#3228C2211yescharacteristic, complemented
94#3224—21no—
95#3222—21no—
96#3213—21no—
97#3208C2211yescharacteristic, complemented
98#3207C2211yescharacteristic, complemented
99#3205C2211yescharacteristic
100#3182C2211yescharacteristic, complemented
101#3151C2211yescharacteristic, complemented
102#3122—21no—
103#3119—21no—
104#3111—21no—
105#3111—21no—
106#3102C2211yescharacteristic
107#3102C2211yescharacteristic
108#3080—21no—
109#3076C2211yescharacteristic, complemented
110#3045—21no—
111#3041—21no—
112#3040—21no—
113#3038C2211yescharacteristic
114#3038C2211yescharacteristic, complemented
115#3035C2211yescharacteristic, complemented
116#2993C2211yescharacteristic
117#2993C2211yescharacteristic, complemented
118#2989C2211yescharacteristic, complemented
119#2989C2211yescharacteristic, complemented
120#1721C2211yescharacteristic
121#1721C2211yescharacteristic, complemented
122#1719C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1715C2211yescharacteristic
125#1714C2211yescharacteristic, complemented
126#1706C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1698C2211yescharacteristic, complemented
135#1698C2211yescharacteristic, complemented
136#1698C2211yescharacteristic, complemented
137#1697C2211yescharacteristic
138#1697C2211yescharacteristic, complemented
139#1697C2211yescharacteristic, complemented
140#1696C2211yescharacteristic, complemented
141#1695C2211yescharacteristic, complemented
142#1688C2211yescharacteristic
143#1688C2211yescharacteristic, complemented
144#1687C2211yescharacteristic
145#1687C2211yescharacteristic, complemented
146#1686C2211yescharacteristic, complemented
147#1686C2211yescharacteristic, complemented
148#1686C2211yescharacteristic, complemented
149#1685C2211yescharacteristic
150#1685C2211yescharacteristic, complemented
151#1685C2211yescharacteristic, complemented
152#1684C2211yescharacteristic, complemented
153#1683C2211yescharacteristic, complemented
154#1678C2211yescharacteristic, complemented
155#1677C2211yescharacteristic, complemented
156#1672C2211yescharacteristic, complemented
157#1671C2211yescharacteristic, complemented
158#1668C2211yescharacteristic, complemented
159#1667C2211yescharacteristic, complemented
160#1650C2211yescharacteristic, complemented
161#1649C2211yescharacteristic, complemented
162#1648C2211yescharacteristic, complemented
163#1647C2211yescharacteristic, complemented
164#1644C2211yescharacteristic, complemented
165#1643C2211yescharacteristic, complemented
166#1640C2211yescharacteristic, complemented
167#1639C2211yescharacteristic, complemented
168#1638C2211yescharacteristic, complemented
169#1637C2211yescharacteristic, complemented
170#1631C2211yescharacteristic
171#1631C2211yescharacteristic, complemented
172#1630C2211yescharacteristic, complemented
173#1630C2211yescharacteristic, complemented
174#1629C2211yescharacteristic
175#1629C2211yescharacteristic, complemented
176#1626C2211yescharacteristic, complemented
177#1625C2211yescharacteristic, complemented
178#1624C2211yescharacteristic
179#1624C2211yescharacteristic, complemented
180#1623C2211yescharacteristic, complemented
181#1623C2211yescharacteristic, complemented
182#1622C2211yescharacteristic, complemented
183#1622C2211yescharacteristic, complemented
184#1621C2211yescharacteristic
185#1621C2211yescharacteristic
186#1621C2211yescharacteristic, complemented
187#1621C2211yescharacteristic, complemented
188#1621C2211yescharacteristic, complemented
189#1621C2211yescharacteristic, complemented
190#1620C2211yescharacteristic, complemented
191#1619C2211yescharacteristic
192#1594C2211yescharacteristic, complemented
193#1593C2211yescharacteristic, complemented
194#1592C2211yescharacteristic, complemented
195#1592C2211yescharacteristic, complemented
196#1591C2211yescharacteristic, complemented
197#1590C2211yescharacteristic, complemented
198#1590C2211yescharacteristic, complemented
199#1589C2211yescharacteristic, complemented
200#1588C2211yescharacteristic, complemented
201#1587C2211yescharacteristic, complemented
202#1586C2211yescharacteristic, complemented
203#1585C2211yescharacteristic, complemented
204#1584C2211yescharacteristic, complemented
205#1583C2211yescharacteristic, complemented
206#1582C2211yescharacteristic, complemented
207#1581C2211yescharacteristic, complemented
208#1571C2211yescharacteristic, complemented
209#1570C2211yescharacteristic, complemented
210#1560C2211yescharacteristic, complemented
211#1550C2211yescharacteristic, complemented
212#1547C2211yescharacteristic, complemented
213C2×#331C2211yescharacteristic, complemented
214#1489C2211yescharacteristic, complemented
215#1489C2211yescharacteristic, complemented
216#1483C2211yescharacteristic
217#1483C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×AGL(1,ℤ/8)—41no—
226C2×#135—21no—
227C2×#135—21no—
228C22×D8—21no—
229#560—41no—
230#559C2311yescharacteristic
231#559C2311yescharacteristic
232Q82C2311yescharacteristic
233#557C2311yescharacteristic
234#556C2311yescharacteristic
235#555—21no—
236#555—21no—
237#555—21no—
238#555—41no—
239#555C2311yescharacteristic
240#554C2311yescharacteristic
241#554C2311yescharacteristic
242#553—21no—
243#552—21no—
244#552—21no—
245#552—41no—
246#551—41no—
247#550—21no—
248#550—21no—
249#550C2311yescharacteristic
250#550C2311yescharacteristic
251#550C2311yescharacteristic
252#550C2311yescharacteristic
253D4×Q8C2311yescharacteristic
254#548—21no—
255#547—21no—
256#547C2311yescharacteristic
257#546—21no—
258#546—21no—
259#546—21no—
260#546—21no—
261D42—21no—
262D42—21no—
263D42C2311yescharacteristic
264D42C2311yescharacteristic
265#542—21no—
266#541—21no—
267#540—21no—
268#540—21no—
269#539—41no—
270#538—41no—
271#535—21no—
272#535—21no—
273#534—41no—
274#533C2311yescharacteristic
275#532—21no—
276#532—21no—
277#532—41no—
278#532C2311yescharacteristic
279#532C2311yescharacteristic
280C2×#127C2311yescharacteristic
281#529—21no—
282#529—21no—
283#529C2311yescharacteristic
284#529C2311yescharacteristic
285C2×#125—21no—
286C2×#124—21no—
287#520—21no—
288#518—21no—
289C4×#41—21no—
290C4×#41—21no—
291C4×#41C2311yescharacteristic
292C4×#41C2311yescharacteristic
293#501—21no—
294#501—21no—
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#498C2311yescharacteristic
298#497—21no—
299#496—21no—
300#496—21no—
301#496—21no—
302#496—41no—
303#495—21no—
304#493C2311yescharacteristic
305#493C2311yescharacteristic
306#493C2311yescharacteristic
307#493C2311yescharacteristic
308#493C2311yescharacteristic
309#492—21no—
310#492C2311yescharacteristic
311#492C2311yescharacteristic
312#492C2311yescharacteristic
313#492C2311yescharacteristic
314#492C2311yescharacteristic
315#492C2311yescharacteristic
316#490—21no—
317#490—21no—
318#490—21no—
319#489—21no—
320#489—21no—
321#489—21no—
322#488—21no—
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#486—21no—
326#486C2311yescharacteristic
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#485—21no—
335#485—21no—
336#485D411yescharacteristic
337#485D411yescharacteristic
338#482—21no—
339#482—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482D411yescharacteristic
345#482D411yescharacteristic
346#481—21no—
347#481—21no—
348#481—21no—
349#480—21no—
350#480—21no—
351#480—21no—
352#479—21no—
353#479—21no—
354#479—21no—
355#479—21no—
356#479D411yescharacteristic
357#479D411yescharacteristic
358#478—21no—
359#478—21no—
360#478—21no—
361#478—21no—
362#478—21no—
363#478—21no—
364#478—21no—
365#478—21no—
366#478—21no—
367#478—21no—
368#478D411yescharacteristic
369#478D411yescharacteristic
370#477C2311yescharacteristic
371#477C2311yescharacteristic
372#477C2311yescharacteristic
373#477C2311yescharacteristic
374#476—21no—
375#476C2311yescharacteristic
376#476C2311yescharacteristic
377#476C2311yescharacteristic
378#476C2311yescharacteristic
379#475—21no—
380#475—21no—
381#475C2311yescharacteristic
382#475C2311yescharacteristic
383#474—21no—
384#474—21no—
385#474—21no—
386#474C2311yescharacteristic
387#474C2311yescharacteristic
388#470—21no—
389#469—21no—
390#469—21no—
391#469—21no—
392#469—21no—
393#469—21no—
394#469—21no—
395#468—21no—
396#468—21no—
397#468—21no—
398#468—21no—
399#468—21no—
400#468—21no—
401#468—21no—
402#468—21no—
403#468—21no—
404#468—41no—
405#466—21no—
406#466—21no—
407#466—21no—
408#465—21no—
409#465—21no—
410#465—21no—
411#465—21no—
412#465—21no—
413#464—21no—
414#464—21no—
415#464—21no—
416#464—21no—
417#464—21no—
418#464D411yescharacteristic
419#464D411yescharacteristic
420#463—21no—
421#463—21no—
422#463—21no—
423#463—21no—
424#463—21no—
425#463—21no—
426#463—21no—
427#463—21no—
428#463—21no—
429#463—21no—
430#463—21no—
431#463—21no—
432#463—21no—
433#463D411yescharacteristic
434#463D411yescharacteristic
435#462C2311yescharacteristic
436#462C2311yescharacteristic
437#461—21no—
438#461—21no—
439#461C2311yescharacteristic
440#461C2311yescharacteristic
441#460—21no—
442#460—21no—
443#460—21no—
444#460—21no—
445#460—21no—
446#460—21no—
447#460—21no—
448#460C2311yescharacteristic
449#460C2311yescharacteristic
450#460C2311yescharacteristic
451#460C2311yescharacteristic
452#460C2311yescharacteristic
453#460C2311yescharacteristic
454#460C2311yescharacteristic
455#460C2311yescharacteristic
456#459—21no—
457#459—21no—
458#459—21no—
459#459—21no—
460#459—21no—
461#459—21no—
462#459—21no—
463#459—21no—
464#459—21no—
465#459C2311yescharacteristic
466#459C2311yescharacteristic
467#459C2311yescharacteristic
468#459C2311yescharacteristic
469#459C2311yescharacteristic
470#459C2311yescharacteristic
471#459C2311yescharacteristic
472#459C2311yescharacteristic
473#452—21no—
474#452—21no—
475#452—21no—
476#452—21no—
477#452—21no—
478#452D411yescharacteristic
479#452D411yescharacteristic
480#450—21no—
481#450—21no—
482#450—21no—
483#450—21no—
484#450—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#449D411yescharacteristic
493#449D411yescharacteristic
494#448—21no—
495#448—21no—
496#447—21no—
497#447—21no—
498#447—21no—
499#447—21no—
500#447—21no—
501#447—21no—
502#447—21no—
503#446C2311yescharacteristic
504#446C2311yescharacteristic
505#446C2311yescharacteristic
506#446C2311yescharacteristic
507#446C2311yescharacteristic
508#446C2311yescharacteristic
509C8×Q8C2311yescharacteristic
510C8×Q8C2311yescharacteristic
511#442—21no—
512#442—21no—
513#442—21no—
514#442—21no—
515#442—21no—
516#441—21no—
517#441—21no—
518#440—21no—
519#440—21no—
520#440—21no—
521#440—21no—
522#440—21no—
523#440—41no—
524C4×Q16C2311yescharacteristic
525C4×Q16C2311yescharacteristic
526C4×SD16—21no—
527C4×SD16C2311yescharacteristic
528C4×SD16C2311yescharacteristic
529C4×SD16C2311yescharacteristic
530C4×SD16C2311yescharacteristic
531C4×D8—21no—
532C4×D8—21no—
533C4×D8—21no—
534C4×D8C2311yescharacteristic
535C4×D8C2311yescharacteristic
536#436—21no—
537#436—21no—
538#436C2311yescharacteristic
539#436C2311yescharacteristic
540#436C2311yescharacteristic
541#436C2311yescharacteristic
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#435—21no—
545#435—21no—
546#435—21no—
547#435—21no—
548#435—21no—
549#435—21no—
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552#433—21no—
553#433—21no—
554#432—21no—
555#432—21no—
556#431C2311yescharacteristic
557#431C2311yescharacteristic
558#428—21no—
559#428—21no—
560#427—21no—
561#424—21no—
562#424—21no—
563#423—21no—
564#423—21no—
565#423C2311yescharacteristic
566#423C2311yescharacteristic
567C2×C4⋊C8C2311yescharacteristic
568C2×C4⋊C8C2311yescharacteristic
569#419—21no—
570#418—21no—
571#418—21no—
572#418—21no—
573#418—21no—
574#417—21no—
575#417—21no—
576#417—21no—
577#416—21no—
578#416—21no—
579#416—21no—
580C2×#102—21no—
581C4×M16C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
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
612Q8⋊C8C2311yescharacteristic
613Q8⋊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—41no—
634C2×#41C2×D411yescharacteristic
635C2×#41C2×D411yescharacteristic
636C22×Q8—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—41no—
645#137—82no—
646AGL(1,ℤ/8)—84no—
647AGL(1,ℤ/8)—82no—
648AGL(1,ℤ/8)—82no—
649AGL(1,ℤ/8)—82no—
650AGL(1,ℤ/8)—82no—
651AGL(1,ℤ/8)—82no—
652#135—82no—
653#135—82no—
654C2×Q16—21no—
655C2×Q16—21no—
656C2×Q16C2×D411yescharacteristic
657C2×Q16C2×D411yescharacteristic
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—41no—
675C2×SD16—41no—
676C2×SD16—41no—
677C2×SD16C2×D411yescharacteristic
678C2×SD16C2×D411yescharacteristic
679C2×SD16C2×D411yescharacteristic
680C2×SD16C2×D411yescharacteristic
681C2×D8—21no—
682C2×D8—21no—
683C2×D8—21no—
684C2×D8—21no—
685C2×D8—21no—
686C2×D8—21no—
687C2×D8—21no—
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—21no—
695C2×D8—41no—
696C2×D8—41no—
697C2×D8—82no—
698C2×D8C2×D411yescharacteristic
699C2×D8C2×D411yescharacteristic
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—21no—
703C2×M16—21no—
704C2×M16—21no—
705C2×M16—21no—
706C2×M16—21no—
707C2×M16—21no—
708C2×M16—21no—
709C22×C8—21no—
710C22×C8—21no—
711C22×C8—21no—
712C22×C8—21no—
713C4⋊Q8—21no—
714C4⋊Q8—21no—
715C4⋊Q8—21no—
716C4⋊Q8—21no—
717C4⋊Q8—41no—
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722#127—21no—
723#127—21no—
724#127—21no—
725#127—21no—
726#127—21no—
727#127—21no—
728#127—21no—
729#127—41no—
730#127C2411yescharacteristic
731#127C2411yescharacteristic
732#127C2411yescharacteristic
733#127C2411yescharacteristic
734#126—21no—
735#126—21no—
736#126—41no—
737#126—41no—
738#126—41no—
739#126—41no—
740#126—41no—
741#125—21no—
742#125—21no—
743#125—21no—
744#125—21no—
745#125—41no—
746#125—41no—
747#125—41no—
748#125—41no—
749#125C2×D411yescharacteristic
750#125C2×D411yescharacteristic
751#124—21no—
752#124—21no—
753#124—21no—
754#124—21no—
755#124—21no—
756#124—21no—
757#124—21no—
758#124—41no—
759#124—41no—
760#124—41no—
761#124—41no—
762#124—41no—
763#124—41no—
764#124—41no—
765#124C2×D411yescharacteristic
766#124C2×D411yescharacteristic
767#123—21no—
768#123—21no—
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—
779#123—41no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8C2×D411yescharacteristic
792C22⋊Q8C2×D411yescharacteristic
793#121—21no—
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—41no—
809#121—41no—
810#121—41no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121—41no—
815#121—41no—
816#121—41no—
817#121—41no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121C2×D411yescharacteristic
826#121C2×D411yescharacteristic
827#120—41no—
828#120—41no—
829#120—41no—
830#120—41no—
831#120—41no—
832#120—41no—
833#120—41no—
834#120—41no—
835C4×Q8—21no—
836C4×Q8—21no—
837C4×Q8—21no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8C2×D411yescharacteristic
843C4×Q8C2×D411yescharacteristic
844C4×Q8C2411yescharacteristic
845C4×Q8C2411yescharacteristic
846C4×Q8C2411yescharacteristic
847C4×Q8C2411yescharacteristic
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—21no—
867C4×D4—21no—
868C4×D4—21no—
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×D4C2411yescharacteristic
880C4×D4C2411yescharacteristic
881C4×D4C2411yescharacteristic
882C4×D4C2411yescharacteristic
883#117—21no—
884#117—21no—
885#117—21no—
886#117—21no—
887#117—21no—
888#117—21no—
889#117—21no—
890#117—21no—
891#117—41no—
892#117—41no—
893#117—41no—
894#117—41no—
895#117—41no—
896#117C2×D411yescharacteristic
897#117C2×D411yescharacteristic
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—41no—
902C2×C4⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C42—21no—
908C2×C42—21no—
909C2×C42—41no—
910C2×C42C2411yescharacteristic
911#107—21no—
912#107—21no—
913#107—21no—
914#107—21no—
915#107—21no—
916#107—21no—
917#107—21no—
918#107—21no—
919#107—41no—
920#107C2×D411yescharacteristic
921#107C2×D411yescharacteristic
922#107C2×D411yescharacteristic
923#107C2×D411yescharacteristic
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—21no—
931#106—21no—
932#106C2×D411yescharacteristic
933#106C2×D411yescharacteristic
934#106C2×D411yescharacteristic
935#106C2×D411yescharacteristic
936C4⋊C8—21no—
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⋊C8—21no—
946C4⋊C8—21no—
947C4⋊C8—21no—
948C4⋊C8C2×D411yescharacteristic
949C4⋊C8C2×D411yescharacteristic
950C4⋊C8C2×D411yescharacteristic
951C4⋊C8C2×D411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955C4⋊C8C2411yescharacteristic
956C4⋊C8C2411yescharacteristic
957C4⋊C8C2411yescharacteristic
958C4⋊C8C2411yescharacteristic
959C4⋊C8C2411yescharacteristic
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—41no—
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#102—21no—
982#102—21no—
983#102—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—21no—
1012#102—21no—
1013#102—21no—
1014#102—21no—
1015#102—21no—
1016#102—21no—
1017#102—41no—
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023#102C2×D411yescharacteristic
1024#102C2×D411yescharacteristic
1025#102C2×D411yescharacteristic
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⋊C8C2×D411yescharacteristic
1035C22⋊C8C2×D411yescharacteristic
1036C22⋊C8C2×D411yescharacteristic
1037C22⋊C8C2×D411yescharacteristic
1038#97—21no—
1039#97—21no—
1040#97—21no—
1041#97—21no—
1042#97—21no—
1043#97—21no—
1044#97—21no—
1045C4×C8—21no—
1046C4×C8—21no—
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C24—41no—
1054C24—41no—
1055C24—41no—
1056#41—41no—
1057#41—41no—
1058#41—41no—
1059#41—41no—
1060#41—42no—
1061#41—42no—
1062#41—42no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—82no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—162no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—41no—
1079C2×Q8—41no—
1080C2×Q8—81no—
1081C2×Q8—81no—
1082C2×Q8C22×D411yescharacteristic
1083C2×Q8C22×D411yescharacteristic
1084C2×Q8C22×D411yescharacteristic
1085C2×Q8C22×D411yescharacteristic
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—42no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—82no—
1134C2×D4—162no—
1135C2×D4C22×D411yescharacteristic
1136C2×D4C22×D411yescharacteristic
1137C2×D4C22×D411yescharacteristic
1138C2×D4C22×D411yescharacteristic
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4C22×D411yescharacteristic
1160C22×C4C22×D411yescharacteristic
1161C22×C4H(5,𝔽2)11yescharacteristic
1162Q16—41no—
1163Q16—41no—
1164Q16—42no—
1165Q16—81no—
1166SD16—41no—
1167SD16—41no—
1168SD16—41no—
1169SD16—41no—
1170SD16—42no—
1171SD16—81no—
1172SD16—81no—
1173SD16—81no—
1174SD16—81no—
1175SD16—81no—
1176SD16—81no—
1177SD16—82no—
1178SD16—82no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182SD16—81no—
1183SD16—81no—
1184SD16—81no—
1185SD16—81no—
1186SD16—81no—
1187SD16—81no—
1188SD16—82no—
1189D8—41no—
1190D8—41no—
1191D8—42no—
1192D8—42no—
1193D8—42no—
1194D8—42no—
1195D8—81no—
1196D8—81no—
1197D8—81no—
1198D8—81no—
1199D8—81no—
1200D8—81no—
1201D8—82no—
1202D8—81no—
1203D8—81no—
1204D8—81no—
1205D8—81no—
1206D8—82no—
1207M16—42no—
1208M16—81no—
1209M16—81no—
1210M16—81no—
1211M16—81no—
1212M16—81no—
1213M16—81no—
1214M16—81no—
1215M16—81no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—81no—
1227C2×C8—81no—
1228C2×C8—81no—
1229C2×C8—81no—
1230C2×C8C22×D411yescharacteristic
1231C2×C8C22×D411yescharacteristic
1232C2×C8C22×D411yescharacteristic
1233C2×C8C22×D411yescharacteristic
1234C2×C8C22×D411yescharacteristic
1235C2×C8C22×D411yescharacteristic
1236C2×C8C22×D411yescharacteristic
1237C2×C8C22×D411yescharacteristic
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4C22×D411yescharacteristic
1273C4⋊C4C22×D411yescharacteristic
1274C4⋊C4C22×D411yescharacteristic
1275C4⋊C4C22×D411yescharacteristic
1276C4⋊C4C22×D411yescharacteristic
1277C4⋊C4C22×D411yescharacteristic
1278C4⋊C4C22×D411yescharacteristic
1279C4⋊C4C22×D411yescharacteristic
1280C22⋊C4—21no—
1281C22⋊C4—21no—
1282C22⋊C4—21no—
1283C22⋊C4—21no—
1284C22⋊C4—21no—
1285C22⋊C4—21no—
1286C22⋊C4—21no—
1287C22⋊C4—21no—
1288C22⋊C4—21no—
1289C22⋊C4—21no—
1290C22⋊C4—21no—
1291C22⋊C4—21no—
1292C22⋊C4—21no—
1293C22⋊C4—21no—
1294C22⋊C4—21no—
1295C22⋊C4—21no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C42—21no—
1322C42—21no—
1323C42—21no—
1324C42—21no—
1325C42—21no—
1326C42—21no—
1327C42—21no—
1328C42—21no—
1329C42—41no—
1330C42—41no—
1331C42—41no—
1332C42—41no—
1333C42—41no—
1334C42C22×D411yescharacteristic
1335C42C22×D411yescharacteristic
1336C42H(5,𝔽2)11yescharacteristic
1337C42C2511yescharacteristic
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—82no—
1347C23—82no—
1348C23—161no—
1349C23—161no—
1350C23—161no—
1351C23—161no—
1352C23—161no—
1353C23—161no—
1354C23—161no—
1355C23D4211yescharacteristic
1356Q8—21no—
1357Q8—21no—
1358Q8—21no—
1359Q8—21no—
1360Q8—21no—
1361Q8—21no—
1362Q8—21no—
1363Q8—21no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—81no—
1369Q8—81no—
1370Q8—161no—
1371Q8—161no—
1372D4—21no—
1373D4—21no—
1374D4—21no—
1375D4—21no—
1376D4—21no—
1377D4—21no—
1378D4—21no—
1379D4—21no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—41no—
1396D4—81no—
1397D4—81no—
1398D4—81no—
1399D4—81no—
1400D4—81no—
1401D4—81no—
1402D4—81no—
1403D4—81no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—161no—
1409D4—161no—
1410D4—161no—
1411D4—161no—
1412D4—161no—
1413D4—161no—
1414D4—161no—
1415D4—161no—
1416D4—161no—
1417D4—161no—
1418D4—161no—
1419D4—161no—
1420D4—161no—
1421D4—161no—
1422D4—161no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—81no—
1453C2×C4—81no—
1454C2×C4—81no—
1455C2×C4—81no—
1456C2×C4—82no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—82no—
1460C2×C4—161no—
1461C2×C4—161no—
1462C2×C4—161no—
1463C2×C4—161no—
1464C2×C4—161no—
1465C2×C4—161no—
1466C2×C4—161no—
1467C2×C4—161no—
1468C2×C4D4211yescharacteristic
1469C2×C4D4211yescharacteristic
1470C2×C4D4211yescharacteristic
1471C2×C4C23×D411yescharacteristic
1472C2×C4C23×D411yescharacteristic
1473C2×C4C2×H(5,𝔽2)11yescharacteristic
1474C8—22no—
1475C8—21no—
1476C8—21no—
1477C8—21no—
1478C8—21no—
1479C8—21no—
1480C8—21no—
1481C8—21no—
1482C8—21no—
1483C8—41no—
1484C8—41no—
1485C8—41no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C22—21no—
1493C22—21no—
1494C22—21no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—81no—
1508C22—81no—
1509C22—81no—
1510C22—81no—
1511C22—81no—
1512C22—81no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—322no—
1520C22—322no—
1521C22—322no—
1522C22C2×D4211yescharacteristic
1523C4—21no—
1524C4—21no—
1525C4—21no—
1526C4—21no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—81no—
1540C4—81no—
1541C4—81no—
1542C4—81no—
1543C4#358511yescharacteristic
1544C4#358511yescharacteristic
1545C4#358511yescharacteristic
1546C4#358611yescharacteristic
1547C2—41no—
1548C2—81no—
1549C2—81no—
1550C2—81no—
1551C2—81no—
1552C2—161no—
1553C2—161no—
1554C2—161no—
1555C2—161no—
1556C2#6106211yescharacteristic
1557C2#6106311yescharacteristic
1558C2#6111011yescharacteristic
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. #62123C2semidirect
2. #62033C2semidirect
3. #62031C2semidirect
4. #61975C2semidirect
5. #20312C2semidirect
6. #20303C2semidirect
7. #20299C2semidirect
8. #20286C2semidirect
9. #20284C2semidirect
10. #20274C2semidirect
11. #20256C2semidirect
12. #20230C2semidirect
13. #20202C2semidirect
14. #20177C2semidirect
15. #20173C2semidirect
16. #20158C2semidirect
17. #20154C2semidirect
18. #20064C2semidirect
19. #20051C2semidirect
20. #20024C2semidirect
21. #19719C2semidirect
22. #19549C2semidirect
23. #19542C2semidirect
24. #19446C2semidirect
25. #19445C2semidirect
26. #18712C2semidirect
27. #18596C2semidirect
28. #18595C2semidirect
29. #18548C2semidirect
30. #17955C2semidirect
31. #17954C2semidirect
33. #3515C22semidirect
35. #3483C22semidirect
36. #3400C22semidirect
38. #3399C22semidirect
39. #3397C22semidirect
42. #3387C22semidirect
43. #3385C22semidirect
44. #3375C22semidirect
46. #3369C22semidirect
47. #3368C22semidirect
49. #3366C22semidirect
50. #3361C22semidirect
52. #3357C22semidirect
53. #3354C22semidirect
56. #3333C22semidirect
57. #3333C22semidirect
58. #3332C22semidirect
59. #3329C22semidirect
61. #3325C22semidirect
72. #3284C22semidirect
74. #3278C22semidirect
76. #3274C22semidirect
91. #3247C22semidirect
93. #3228C22semidirect
97. #3208C22semidirect
98. #3207C22semidirect
100. #3182C22semidirect
101. #3151C22semidirect
109. #3076C22semidirect
114. #3038C22semidirect
115. #3035C22semidirect
117. #2993C22semidirect
118. #2989C22semidirect
119. #2989C22semidirect
121. #1721C22semidirect
122. #1719C22semidirect
123. #1717C22semidirect
125. #1714C22semidirect
126. #1706C22semidirect
127. #1706C22semidirect
128. #1702C22semidirect
129. #1702C22semidirect
130. #1702C22semidirect
131. #1701C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1698C22semidirect
135. #1698C22semidirect
136. #1698C22semidirect
138. #1697C22semidirect
139. #1697C22semidirect
140. #1696C22semidirect
141. #1695C22semidirect
143. #1688C22semidirect
145. #1687C22semidirect
146. #1686C22semidirect
147. #1686C22semidirect
148. #1686C22semidirect
150. #1685C22semidirect
151. #1685C22semidirect
152. #1684C22semidirect
153. #1683C22semidirect
154. #1678C22semidirect
155. #1677C22semidirect
156. #1672C22semidirect
157. #1671C22semidirect
158. #1668C22semidirect
159. #1667C22semidirect
160. #1650C22semidirect
161. #1649C22semidirect
162. #1648C22semidirect
163. #1647C22semidirect
164. #1644C22semidirect
165. #1643C22semidirect
166. #1640C22semidirect
167. #1639C22semidirect
168. #1638C22semidirect
169. #1637C22semidirect
171. #1631C22semidirect
172. #1630C22semidirect
173. #1630C22semidirect
175. #1629C22semidirect
176. #1626C22semidirect
177. #1625C22semidirect
179. #1624C22semidirect
180. #1623C22semidirect
181. #1623C22semidirect
182. #1622C22semidirect
183. #1622C22semidirect
186. #1621C22semidirect
187. #1621C22semidirect
188. #1621C22semidirect
189. #1621C22semidirect
190. #1620C22semidirect
192. #1594C22semidirect
193. #1593C22semidirect
194. #1592C22semidirect
195. #1592C22semidirect
196. #1591C22semidirect
197. #1590C22semidirect
198. #1590C22semidirect
199. #1589C22semidirect
200. #1588C22semidirect
201. #1587C22semidirect
202. #1586C22semidirect
203. #1585C22semidirect
204. #1584C22semidirect
205. #1583C22semidirect
206. #1582C22semidirect
207. #1581C22semidirect
208. #1571C22semidirect
209. #1570C22semidirect
210. #1560C22semidirect
211. #1550C22semidirect
212. #1547C22semidirect
213. C2×#331C22semidirect
214. #1489C22semidirect
215. #1489C22semidirect
217. #1483C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621232
#620332
#620312
#619752
#203122
#203032
#202992
#202862
#202842
#202742
#202562
#202302
#202022
#201772
#201732
#201582
#201542
#200642
#200512
#200242
#197192
#195492
#195422
#194462
#194452
#187122
#185962
#185952
#185482
#179552
#179542