Finite Group Databasebeta

← #6365562

Subgroups — #6365562

Order 512.

1652 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62040C211yesmaximal, characteristic, complemented
2#61962C211yesmaximal, characteristic, complemented
3#61811C211yesmaximal, characteristic, complemented
4#61590C211yesmaximal, characteristic, complemented
5#20309C211yesmaximal, characteristic, complemented
6#20309C211yesmaximal, characteristic, complemented
7#20290C211yesmaximal, characteristic, complemented
8#20287C211yesmaximal, characteristic, complemented
9#20275C211yesmaximal, characteristic, complemented
10#20274C211yesmaximal, characteristic, complemented
11#20251C211yesmaximal, characteristic, complemented
12#20241C211yesmaximal, characteristic, complemented
13#20170C211yesmaximal, characteristic, complemented
14#20163C211yesmaximal, characteristic, complemented
15#20160C211yesmaximal, characteristic, complemented
16#20159C211yesmaximal, characteristic, complemented
17#20136C211yesmaximal, characteristic, complemented
18#20036C211yesmaximal, characteristic, complemented
19#20027C211yesmaximal, characteristic, complemented
20#20022C211yesmaximal, characteristic, complemented
21#19722C211yesmaximal, characteristic, complemented
22#19536C211yesmaximal, characteristic, complemented
23#19509C211yesmaximal, characteristic, complemented
24#19448C211yesmaximal, characteristic, complemented
25#19428C211yesmaximal, characteristic, complemented
26#18738C211yesmaximal, characteristic, complemented
27#18585C211yesmaximal, characteristic, complemented
28#18570C211yesmaximal, characteristic, complemented
29#18554C211yesmaximal, characteristic, complemented
30#17955C211yesmaximal, characteristic, complemented
31#17950C211yesmaximal, characteristic, complemented
32#3546C2211yescharacteristic, complemented
33#3519C2211yescharacteristic
34#3511C2211yescharacteristic, complemented
35D4×#41C2211yescharacteristic, complemented
36#3397C2211yescharacteristic
37#3397C2211yescharacteristic
38#3397C2211yescharacteristic, complemented
39#3391C2211yescharacteristic
40#3367C2211yescharacteristic, complemented
41#3367C2211yescharacteristic, complemented
42#3366C2211yescharacteristic, complemented
43#3360C2211yescharacteristic, complemented
44#3353C2211yescharacteristic, complemented
45#3353C2211yescharacteristic, complemented
46#3347—21no—
47#3346—21no—
48#3342C2211yescharacteristic, complemented
49#3334C2211yescharacteristic, complemented
50#3333C2211yescharacteristic, complemented
51#3332C2211yescharacteristic, complemented
52#3331C2211yescharacteristic, complemented
53#3330C2211yescharacteristic
54#3330C2211yescharacteristic, complemented
55#3329C2211yescharacteristic
56#3326—21no—
57#3325C2211yescharacteristic
58#3325C2211yescharacteristic
59#3324C2211yescharacteristic, complemented
60#3322—21no—
61#3322—21no—
62#3319—21no—
63#3314—21no—
64#3309—21no—
65#3308—21no—
66#3308—21no—
67#3304C2211yescharacteristic, complemented
68#3303C2211yescharacteristic
69#3294C2211yescharacteristic, complemented
70D4×D8C2211yescharacteristic, complemented
71#3278C2211yescharacteristic, complemented
72#3275—21no—
73#3274—21no—
74#3274C2211yescharacteristic
75#3274C2211yescharacteristic, complemented
76#3273—21no—
77#3272C2211yescharacteristic
78#3272C2211yescharacteristic, complemented
79#3272C2211yescharacteristic, complemented
80#3272C2211yescharacteristic, complemented
81#3265—21no—
82#3265—21no—
83#3264—21no—
84#3257—21no—
85#3254—21no—
86#3253C2211yescharacteristic, complemented
87#3245C2211yescharacteristic, complemented
88#3239C2211yescharacteristic, complemented
89#3226C2211yescharacteristic, complemented
90#3220—21no—
91#3214—21no—
92#3212C2211yescharacteristic
93#3207C2211yescharacteristic, complemented
94#3207C2211yescharacteristic, complemented
95#3206C2211yescharacteristic, complemented
96#3203—21no—
97#3198—21no—
98#3197—21no—
99#3194—21no—
100#3184C2211yescharacteristic, complemented
101#3141C2211yescharacteristic, complemented
102#3118—21no—
103#3115C2211yescharacteristic, complemented
104#3110—21no—
105#3106C2211yescharacteristic, complemented
106#3102C2211yescharacteristic
107#3100C2211yescharacteristic
108#3098—21no—
109#3096—21no—
110#3041—21no—
111#3036—21no—
112#3036C2211yescharacteristic
113C2×#461C2211yescharacteristic, complemented
114#3006—21no—
115#3005—21no—
116#2993C2211yescharacteristic, complemented
117#2989C2211yescharacteristic, complemented
118#2981C2211yescharacteristic, complemented
119#2975C2211yescharacteristic, complemented
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#1704C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1703C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1701C2211yescharacteristic, complemented
135#1701C2211yescharacteristic, complemented
136#1700C2211yescharacteristic, complemented
137#1699C2211yescharacteristic, complemented
138#1698C2211yescharacteristic, complemented
139#1697C2211yescharacteristic, complemented
140#1693C2211yescharacteristic, complemented
141#1693C2211yescharacteristic, complemented
142#1693C2211yescharacteristic, complemented
143#1693C2211yescharacteristic, complemented
144#1688C2211yescharacteristic, complemented
145#1687C2211yescharacteristic, complemented
146#1687C2211yescharacteristic, complemented
147#1687C2211yescharacteristic, complemented
148#1686C2211yescharacteristic, complemented
149#1686C2211yescharacteristic, complemented
150#1685C2211yescharacteristic, complemented
151#1685C2211yescharacteristic, complemented
152#1680C2211yescharacteristic, complemented
153#1679C2211yescharacteristic, complemented
154#1677C2211yescharacteristic, complemented
155#1677C2211yescharacteristic, complemented
156#1666C2211yescharacteristic, complemented
157#1665C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1654C2211yescharacteristic, complemented
162#1652C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1646C2211yescharacteristic
165#1646C2211yescharacteristic
166#1643C2211yescharacteristic, complemented
167#1643C2211yescharacteristic, 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#1638C2211yescharacteristic, complemented
177#1638C2211yescharacteristic, complemented
178#1635C2211yescharacteristic, complemented
179#1635C2211yescharacteristic, complemented
180#1628C2211yescharacteristic, complemented
181#1628C2211yescharacteristic, complemented
182#1628C2211yescharacteristic, complemented
183#1627C2211yescharacteristic, complemented
184#1625C2211yescharacteristic
185#1625C2211yescharacteristic, complemented
186#1625C2211yescharacteristic, complemented
187#1625C2211yescharacteristic, complemented
188#1621C2211yescharacteristic
189#1621C2211yescharacteristic, complemented
190#1619C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1594C2211yescharacteristic, complemented
194#1594C2211yescharacteristic, complemented
195#1593C2211yescharacteristic, complemented
196#1590C2211yescharacteristic, complemented
197#1590C2211yescharacteristic, complemented
198#1589C2211yescharacteristic, complemented
199#1589C2211yescharacteristic, complemented
200#1587C2211yescharacteristic, complemented
201#1586C2211yescharacteristic, complemented
202#1586C2211yescharacteristic, complemented
203#1586C2211yescharacteristic, complemented
204#1583C2211yescharacteristic, complemented
205#1582C2211yescharacteristic, complemented
206#1581C2211yescharacteristic, complemented
207#1581C2211yescharacteristic, complemented
208#1572C2211yescharacteristic, complemented
209#1570C2211yescharacteristic, complemented
210#1557C2211yescharacteristic, complemented
211#1551C2211yescharacteristic, complemented
212#1546C2211yescharacteristic, complemented
213#1540C2211yescharacteristic, complemented
214#1490C2211yescharacteristic, complemented
215#1489C2211yescharacteristic, complemented
216#1484C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—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)—21no—
226C2×AGL(1,ℤ/8)—21no—
227C2×AGL(1,ℤ/8)—21no—
228C22×SD16—21no—
229C22×D8—21no—
230#560—41no—
231#556C2311yescharacteristic
232#556C2311yescharacteristic
233#556C2311yescharacteristic
234#555—21no—
235#555C2311yescharacteristic
236#554—21no—
237#554C2311yescharacteristic
238#553—21no—
239#553—21no—
240#553—21no—
241#553—41no—
242#550—21no—
243#550C2311yescharacteristic
244#550C2311yescharacteristic
245#550C2311yescharacteristic
246D4×Q8C2311yescharacteristic
247#548—21no—
248#548—21no—
249#548—21no—
250#547—21no—
251#547C2311yescharacteristic
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#546—21no—
256#546—21no—
257#546—21no—
258#546—21no—
259#546—41no—
260#546—41no—
261D42—21no—
262D42—21no—
263D42C2311yescharacteristic
264D42C2311yescharacteristic
265D42C2311yescharacteristic
266#542—21no—
267#542—41no—
268#540—21no—
269#538—41no—
270#538—41no—
271#537—21no—
272#537—21no—
273#535—21no—
274#535—21no—
275#533—21no—
276#532—21no—
277#532—21no—
278#532C2311yescharacteristic
279#532C2311yescharacteristic
280#532C2311yescharacteristic
281#532C2311yescharacteristic
282C2×C4⋊Q8C2311yescharacteristic
283#529C2311yescharacteristic
284#525—21no—
285#525—21no—
286#525—41no—
287C2×#121—21no—
288#520—21no—
289#518—21no—
290C4×#41C2311yescharacteristic
291C2×C4×D4—21no—
292C2×C4×D4C2311yescharacteristic
293#501—21no—
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#498C2311yescharacteristic
297#496—21no—
298#496—21no—
299#496—21no—
300#495—21no—
301#493—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—41no—
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#485—21no—
333#485—21no—
334#485D411yescharacteristic
335#484—21no—
336#484—21no—
337#484—21no—
338#484—21no—
339#484—21no—
340#483—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#482D411yescharacteristic
350#481—21no—
351#481—21no—
352#480—21no—
353#480—21no—
354#480—21no—
355#480—21no—
356#480—21no—
357#480—21no—
358#480D411yescharacteristic
359#480D411yescharacteristic
360#479—21no—
361#479D411yescharacteristic
362#478—21no—
363#478D411yescharacteristic
364#477—21no—
365#477—21no—
366#477C2311yescharacteristic
367#476—21no—
368#476C2311yescharacteristic
369#476C2311yescharacteristic
370#476C2311yescharacteristic
371#475C2311yescharacteristic
372#475C2311yescharacteristic
373#475C2311yescharacteristic
374#474—21no—
375#474—21no—
376#474—21no—
377#474D411yescharacteristic
378#474D411yescharacteristic
379#474C2311yescharacteristic
380#474C2311yescharacteristic
381#474C2311yescharacteristic
382#474C2311yescharacteristic
383#474C2311yescharacteristic
384#470—21no—
385#469—21no—
386#469—21no—
387#469—21no—
388#469—21no—
389#469—21no—
390#469—21no—
391#469—21no—
392#469—41no—
393#468—21no—
394#468—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—21no—
405#467—21no—
406#466—21no—
407#466—21no—
408#466—21no—
409#466—21no—
410#466—21no—
411#465—21no—
412#465—21no—
413#464D411yescharacteristic
414#463—21no—
415#463—21no—
416#463—21no—
417#463—21no—
418#463—21no—
419#463—21no—
420#463—21no—
421#463—21no—
422#463—21no—
423#463—21no—
424#463—21no—
425#463—21no—
426#463D411yescharacteristic
427#462C2311yescharacteristic
428#461—21no—
429#461—21no—
430#461—21no—
431#461—21no—
432#461C2311yescharacteristic
433#461C2311yescharacteristic
434#461C2311yescharacteristic
435#461C2311yescharacteristic
436#461C2311yescharacteristic
437#461C2311yescharacteristic
438#461C2311yescharacteristic
439#460—21no—
440#460—21no—
441#460—21no—
442#460C2311yescharacteristic
443#460C2311yescharacteristic
444#460C2311yescharacteristic
445#459—21no—
446#459—21no—
447#459—21no—
448#459—21no—
449#459—21no—
450#459D411yescharacteristic
451#459D411yescharacteristic
452#459C2311yescharacteristic
453#459C2311yescharacteristic
454#459C2311yescharacteristic
455#459C2311yescharacteristic
456#459C2311yescharacteristic
457#459C2311yescharacteristic
458#459C2311yescharacteristic
459#459C2311yescharacteristic
460#459C2311yescharacteristic
461#452—21no—
462#452—21no—
463#452—21no—
464#452—21no—
465#452—21no—
466#452D411yescharacteristic
467#450—21no—
468#450—21no—
469#450—21no—
470#450—21no—
471#450—21no—
472#449—21no—
473#449—21no—
474#449—21no—
475#449—21no—
476#449—21no—
477#449—21no—
478#449—21no—
479#449—21no—
480#449—21no—
481#449—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449—21no—
489#449D411yescharacteristic
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#447D411yescharacteristic
502#447D411yescharacteristic
503#446C2311yescharacteristic
504#446C2311yescharacteristic
505#446C2311yescharacteristic
506C8×Q8C2311yescharacteristic
507#442—21no—
508#442—21no—
509#442—41no—
510#440—21no—
511#440—21no—
512#440—21no—
513#440—21no—
514#440—21no—
515#440—21no—
516C4×Q16C2311yescharacteristic
517C4×SD16—21no—
518C4×SD16—21no—
519C4×SD16C2311yescharacteristic
520C4×SD16C2311yescharacteristic
521C4×D8—21no—
522C4×D8—21no—
523C4×D8C2311yescharacteristic
524C4×D8C2311yescharacteristic
525C4×D8C2311yescharacteristic
526C4×D8C2311yescharacteristic
527C4×D8C2311yescharacteristic
528#436—21no—
529#436—21no—
530#436—21no—
531#436C2311yescharacteristic
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#436C2311yescharacteristic
535#436C2311yescharacteristic
536#436C2311yescharacteristic
537#436C2311yescharacteristic
538#436C2311yescharacteristic
539#436C2311yescharacteristic
540#435—21no—
541#435—21no—
542#435—21no—
543#435—21no—
544#435—21no—
545C8×D4C2311yescharacteristic
546C8×D4C2311yescharacteristic
547C8×D4C2311yescharacteristic
548#433—21no—
549#432—21no—
550#432C2311yescharacteristic
551#431C2311yescharacteristic
552#431C2311yescharacteristic
553#431C2311yescharacteristic
554#428—21no—
555#428—21no—
556#427—21no—
557C2×#107—21no—
558#424—21no—
559#423—21no—
560#423C2311yescharacteristic
561C2×C4⋊C8C2311yescharacteristic
562#419—21no—
563#418—21no—
564#418—21no—
565#418—21no—
566#417—21no—
567#417—21no—
568#417—21no—
569#417—21no—
570#417—21no—
571#417—21no—
572#417—41no—
573#416—21no—
574#416—21no—
575C2×#103—21no—
576C2×#102—21no—
577#408—21no—
578#408—21no—
579#407—21no—
580#407—21no—
581C4×M16C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#334C2311yescharacteristic
585#334C2311yescharacteristic
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
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—21no—
636C2×#41—21no—
637C2×#41—41no—
638C2×#41—41no—
639C2×#41—82no—
640C2×#41—82no—
641C2×#41C2×D411yescharacteristic
642C22×Q8—21no—
643C22×Q8—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—41no—
651C22×D4—41no—
652C22×D4C2×D411yescharacteristic
653C23×C4—21no—
654C23×C4—41no—
655#137—82no—
656AGL(1,ℤ/8)—82no—
657AGL(1,ℤ/8)—82no—
658AGL(1,ℤ/8)—82no—
659AGL(1,ℤ/8)—82no—
660AGL(1,ℤ/8)—82no—
661AGL(1,ℤ/8)—82no—
662AGL(1,ℤ/8)—82no—
663C2×Q16—21no—
664C2×Q16C2×D411yescharacteristic
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—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—82no—
684C2×SD16C2×D411yescharacteristic
685C2×SD16C2×D411yescharacteristic
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—21no—
696C2×D8—21no—
697C2×D8—21no—
698C2×D8—21no—
699C2×D8—41no—
700C2×D8—82no—
701C2×D8C2×D411yescharacteristic
702C2×D8C2×D411yescharacteristic
703C2×D8C2×D411yescharacteristic
704C2×D8C2×D411yescharacteristic
705C2×D8C2×D411yescharacteristic
706C2×M16—21no—
707C2×M16—21no—
708C2×M16—21no—
709C2×M16—21no—
710C2×M16—21no—
711C2×M16—21no—
712C2×M16—21no—
713C2×M16—21no—
714C2×M16—21no—
715C2×M16—21no—
716C2×M16—21no—
717C22×C8—21no—
718C22×C8—21no—
719C22×C8—21no—
720C22×C8—21no—
721C4⋊Q8—21no—
722C4⋊Q8—21no—
723C4⋊Q8—21no—
724C4⋊Q8—21no—
725C4⋊Q8C2×D411yescharacteristic
726C4⋊Q8C2411yescharacteristic
727C4⋊Q8C2411yescharacteristic
728C4⋊Q8C2411yescharacteristic
729C4⋊Q8C2411yescharacteristic
730C4⋊Q8C2411yescharacteristic
731#127—21no—
732#127—21no—
733#127—21no—
734#127—41no—
735#127C2×D411yescharacteristic
736#127C2411yescharacteristic
737#127C2411yescharacteristic
738#127C2411yescharacteristic
739#126—21no—
740#126—41no—
741#126—41no—
742#126—41no—
743#126—41no—
744#126—41no—
745#125—21no—
746#125—41no—
747#125C2×D411yescharacteristic
748#124—21no—
749#124—21no—
750#124—21no—
751#124—21no—
752#124—21no—
753#124—21no—
754#124—21no—
755#124—41no—
756#124—41no—
757#124—41no—
758#124—41no—
759#124—41no—
760#124C2×D411yescharacteristic
761#123—21no—
762#123—41no—
763#123—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8C2×D411yescharacteristic
790#121—21no—
791#121—21no—
792#121—21no—
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—21no—
809#121—21no—
810#121—21no—
811#121—21no—
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#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121—41no—
830#121C2×D411yescharacteristic
831#121C2×D411yescharacteristic
832#121C2×D411yescharacteristic
833#120—41no—
834#120—41no—
835#120—41no—
836#120—41no—
837#120—41no—
838#120—41no—
839#120—41no—
840#120—41no—
841#120—41no—
842#120—41no—
843C4×Q8—21no—
844C4×Q8—21no—
845C4×Q8—21no—
846C4×Q8—41no—
847C4×Q8C2×D411yescharacteristic
848C4×Q8C2411yescharacteristic
849C4×Q8C2411yescharacteristic
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—21no—
866C4×D4—21no—
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×D4—41no—
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—21no—
892#117—21no—
893#117—21no—
894#117—41no—
895#117C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
904C2×C22⋊C4—21no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C42—21no—
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—21no—
920#107—21no—
921#107C2×D411yescharacteristic
922#107C2×D411yescharacteristic
923#107C2×D411yescharacteristic
924#107C2×D411yescharacteristic
925#107C2×D411yescharacteristic
926#107C2×D411yescharacteristic
927#106—21no—
928#106—21no—
929#106—21no—
930#106—21no—
931#106—21no—
932#106—21no—
933#106—41no—
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⋊C8C2×D411yescharacteristic
943C4⋊C8C2×D411yescharacteristic
944C4⋊C8C2×D411yescharacteristic
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954#103—21no—
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—41no—
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—41no—
1009#102—41no—
1010#102—41no—
1011#102—41no—
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
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
1024C22⋊C8—21no—
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⋊C8C2×D411yescharacteristic
1039C22⋊C8C2×D411yescharacteristic
1040C22⋊C8C2×D411yescharacteristic
1041C22⋊C8C2×D411yescharacteristic
1042#97—21no—
1043#97—21no—
1044#97—21no—
1045#97—21no—
1046#97—21no—
1047C4×C8—21no—
1048C4×C8—21no—
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C24—21no—
1056C24—41no—
1057C24—41no—
1058C24—41no—
1059#41—41no—
1060#41—41no—
1061#41—42no—
1062#41—42no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—84no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075#41—81no—
1076#41—81no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—81no—
1081#41—81no—
1082#41—82no—
1083#41—84no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—41no—
1091C2×Q8—41no—
1092C2×Q8—42no—
1093C2×Q8—81no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8C22×D411yescharacteristic
1097C2×Q8C22×D411yescharacteristic
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
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—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
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—42no—
1129C2×D4—42no—
1130C2×D4—42no—
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—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—84no—
1149C2×D4—162no—
1150C2×D4C22×D411yescharacteristic
1151C2×D4C22×D411yescharacteristic
1152C2×D4C22×D411yescharacteristic
1153C2×D4C22×D411yescharacteristic
1154C2×D4C22×D411yescharacteristic
1155C2×D4C22×D411yescharacteristic
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—81no—
1181C22×C4—81no—
1182C22×C4—84no—
1183C22×C4C22×D411yescharacteristic
1184C22×C4C22×D411yescharacteristic
1185C22×C4H(5,𝔽2)11yescharacteristic
1186Q16—41no—
1187Q16—81no—
1188SD16—41no—
1189SD16—41no—
1190SD16—42no—
1191SD16—42no—
1192SD16—42no—
1193SD16—42no—
1194SD16—81no—
1195SD16—81no—
1196SD16—81no—
1197SD16—81no—
1198SD16—81no—
1199SD16—81no—
1200SD16—81no—
1201SD16—81no—
1202SD16—81no—
1203SD16—81no—
1204SD16—81no—
1205SD16—81no—
1206SD16—81no—
1207SD16—81no—
1208D8—41no—
1209D8—41no—
1210D8—41no—
1211D8—41no—
1212D8—41no—
1213D8—42no—
1214D8—42no—
1215D8—81no—
1216D8—81no—
1217D8—81no—
1218D8—81no—
1219D8—81no—
1220D8—81no—
1221D8—81no—
1222D8—81no—
1223D8—81no—
1224D8—81no—
1225D8—81no—
1226D8—82no—
1227M16—81no—
1228M16—81no—
1229M16—81no—
1230M16—81no—
1231M16—81no—
1232M16—81no—
1233M16—81no—
1234M16—81no—
1235M16—81no—
1236M16—81no—
1237M16—81no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—81no—
1249C2×C8—81no—
1250C2×C8—81no—
1251C2×C8—81no—
1252C2×C8C22×D411yescharacteristic
1253C2×C8C22×D411yescharacteristic
1254C2×C8C22×D411yescharacteristic
1255C2×C8C22×D411yescharacteristic
1256C2×C8C22×D411yescharacteristic
1257C2×C8C22×D411yescharacteristic
1258C2×C8C22×D411yescharacteristic
1259C2×C8C22×D411yescharacteristic
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4C22×D411yescharacteristic
1291C4⋊C4C22×D411yescharacteristic
1292C4⋊C4C22×D411yescharacteristic
1293C4⋊C4C22×D411yescharacteristic
1294C4⋊C4C22×D411yescharacteristic
1295C4⋊C4C22×D411yescharacteristic
1296C4⋊C4C22×D411yescharacteristic
1297C4⋊C4C22×D411yescharacteristic
1298C22⋊C4—21no—
1299C22⋊C4—21no—
1300C22⋊C4—21no—
1301C22⋊C4—21no—
1302C22⋊C4—21no—
1303C22⋊C4—21no—
1304C22⋊C4—21no—
1305C22⋊C4—21no—
1306C22⋊C4—21no—
1307C22⋊C4—21no—
1308C22⋊C4—21no—
1309C22⋊C4—21no—
1310C22⋊C4—21no—
1311C22⋊C4—21no—
1312C22⋊C4—21no—
1313C22⋊C4—21no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C42—21no—
1341C42—21no—
1342C42—21no—
1343C42—21no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42C22×D411yescharacteristic
1349C42C22×D411yescharacteristic
1350C42H(5,𝔽2)11yescharacteristic
1351C42C2511yescharacteristic
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—81no—
1362C23—81no—
1363C23—81no—
1364C23—82no—
1365C23—82no—
1366C23—82no—
1367C23—161no—
1368C23—161no—
1369C23—161no—
1370C23—161no—
1371C23—161no—
1372C23—161no—
1373C23D4211yescharacteristic
1374Q8—21no—
1375Q8—21no—
1376Q8—21no—
1377Q8—21no—
1378Q8—41no—
1379Q8—41no—
1380Q8—41no—
1381Q8—41no—
1382Q8—41no—
1383Q8—41no—
1384Q8—41no—
1385Q8—41no—
1386Q8—81no—
1387Q8—81no—
1388Q8—82no—
1389Q8—161no—
1390D4—21no—
1391D4—21no—
1392D4—21no—
1393D4—21no—
1394D4—21no—
1395D4—21no—
1396D4—21no—
1397D4—21no—
1398D4—21no—
1399D4—21no—
1400D4—21no—
1401D4—21no—
1402D4—42no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—81no—
1416D4—81no—
1417D4—81no—
1418D4—81no—
1419D4—81no—
1420D4—81no—
1421D4—81no—
1422D4—81no—
1423D4—81no—
1424D4—82no—
1425D4—82no—
1426D4—82no—
1427D4—82no—
1428D4—82no—
1429D4—82no—
1430D4—82no—
1431D4—161no—
1432D4—161no—
1433D4—161no—
1434D4—161no—
1435D4—161no—
1436D4—161no—
1437D4—161no—
1438D4—161no—
1439D4—161no—
1440D4—161no—
1441D4—161no—
1442D4—161no—
1443D4—161no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—41no—
1459C2×C4—42no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—81no—
1478C2×C4—81no—
1479C2×C4—81no—
1480C2×C4—82no—
1481C2×C4—81no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4—82no—
1485C2×C4—161no—
1486C2×C4—161no—
1487C2×C4—161no—
1488C2×C4—161no—
1489C2×C4—161no—
1490C2×C4—161no—
1491C2×C4—161no—
1492C2×C4—161no—
1493C2×C4—161no—
1494C2×C4D4211yescharacteristic
1495C2×C4D4211yescharacteristic
1496C2×C4D4211yescharacteristic
1497C2×C4C23×D411yescharacteristic
1498C2×C4C23×D411yescharacteristic
1499C2×C4C2×H(5,𝔽2)11yescharacteristic
1500C8—21no—
1501C8—21no—
1502C8—21no—
1503C8—21no—
1504C8—21no—
1505C8—21no—
1506C8—21no—
1507C8—21no—
1508C8—41no—
1509C8—41no—
1510C8—41no—
1511C8—41no—
1512C8—41no—
1513C8—41no—
1514C8—41no—
1515C8—41no—
1516C8—41no—
1517C8—41no—
1518C22—21no—
1519C22—21no—
1520C22—21no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—81no—
1540C22—81no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—162no—
1549C22—164no—
1550C22—322no—
1551C22—322no—
1552C22C2×D4211yescharacteristic
1553C4—21no—
1554C4—21no—
1555C4—21no—
1556C4—21no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—81no—
1568C4—81no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4#358511yescharacteristic
1573C4#358511yescharacteristic
1574C4#358511yescharacteristic
1575C4#358511yescharacteristic
1576C2—41no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—81no—
1581C2—81no—
1582C2—81no—
1583C2—161no—
1584C2—161no—
1585C2—161no—
1586C2#6105811yescharacteristic
1587C2#6106311yescharacteristic
1588C2#6110911yescharacteristic
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. #62040C2semidirect
2. #61962C2semidirect
3. #61811C2semidirect
4. #61590C2semidirect
5. #20309C2semidirect
6. #20309C2semidirect
7. #20290C2semidirect
8. #20287C2semidirect
9. #20275C2semidirect
10. #20274C2semidirect
11. #20251C2semidirect
12. #20241C2semidirect
13. #20170C2semidirect
14. #20163C2semidirect
15. #20160C2semidirect
16. #20159C2semidirect
17. #20136C2semidirect
18. #20036C2semidirect
19. #20027C2semidirect
20. #20022C2semidirect
21. #19722C2semidirect
22. #19536C2semidirect
23. #19509C2semidirect
24. #19448C2semidirect
25. #19428C2semidirect
26. #18738C2semidirect
27. #18585C2semidirect
28. #18570C2semidirect
29. #18554C2semidirect
30. #17955C2semidirect
31. #17950C2semidirect
32. #3546C22semidirect
34. #3511C22semidirect
35. D4×#41C22semidirect
38. #3397C22semidirect
40. #3367C22semidirect
41. #3367C22semidirect
42. #3366C22semidirect
43. #3360C22semidirect
44. #3353C22semidirect
45. #3353C22semidirect
48. #3342C22semidirect
49. #3334C22semidirect
50. #3333C22semidirect
51. #3332C22semidirect
52. #3331C22semidirect
54. #3330C22semidirect
59. #3324C22semidirect
67. #3304C22semidirect
69. #3294C22semidirect
70. D4×D8C22semidirect
71. #3278C22semidirect
75. #3274C22semidirect
78. #3272C22semidirect
79. #3272C22semidirect
80. #3272C22semidirect
86. #3253C22semidirect
87. #3245C22semidirect
88. #3239C22semidirect
89. #3226C22semidirect
93. #3207C22semidirect
94. #3207C22semidirect
95. #3206C22semidirect
100. #3184C22semidirect
101. #3141C22semidirect
103. #3115C22semidirect
105. #3106C22semidirect
113. C2×#461C22semidirect
116. #2993C22semidirect
117. #2989C22semidirect
118. #2981C22semidirect
119. #2975C22semidirect
120. #1721C22semidirect
121. #1719C22semidirect
122. #1718C22semidirect
123. #1717C22semidirect
124. #1717C22semidirect
125. #1714C22semidirect
126. #1711C22semidirect
127. #1706C22semidirect
128. #1704C22semidirect
129. #1703C22semidirect
130. #1703C22semidirect
131. #1703C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1701C22semidirect
135. #1701C22semidirect
136. #1700C22semidirect
137. #1699C22semidirect
138. #1698C22semidirect
139. #1697C22semidirect
140. #1693C22semidirect
141. #1693C22semidirect
142. #1693C22semidirect
143. #1693C22semidirect
144. #1688C22semidirect
145. #1687C22semidirect
146. #1687C22semidirect
147. #1687C22semidirect
148. #1686C22semidirect
149. #1686C22semidirect
150. #1685C22semidirect
151. #1685C22semidirect
152. #1680C22semidirect
153. #1679C22semidirect
154. #1677C22semidirect
155. #1677C22semidirect
156. #1666C22semidirect
157. #1665C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1654C22semidirect
162. #1652C22semidirect
163. #1651C22semidirect
166. #1643C22semidirect
167. #1643C22semidirect
168. #1642C22semidirect
169. #1642C22semidirect
170. #1642C22semidirect
171. #1641C22semidirect
172. #1639C22semidirect
173. #1639C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
176. #1638C22semidirect
177. #1638C22semidirect
178. #1635C22semidirect
179. #1635C22semidirect
180. #1628C22semidirect
181. #1628C22semidirect
182. #1628C22semidirect
183. #1627C22semidirect
185. #1625C22semidirect
186. #1625C22semidirect
187. #1625C22semidirect
189. #1621C22semidirect
190. #1619C22semidirect
191. #1619C22semidirect
192. #1594C22semidirect
193. #1594C22semidirect
194. #1594C22semidirect
195. #1593C22semidirect
196. #1590C22semidirect
197. #1590C22semidirect
198. #1589C22semidirect
199. #1589C22semidirect
200. #1587C22semidirect
201. #1586C22semidirect
202. #1586C22semidirect
203. #1586C22semidirect
204. #1583C22semidirect
205. #1582C22semidirect
206. #1581C22semidirect
207. #1581C22semidirect
208. #1572C22semidirect
209. #1570C22semidirect
210. #1557C22semidirect
211. #1551C22semidirect
212. #1546C22semidirect
213. #1540C22semidirect
214. #1490C22semidirect
215. #1489C22semidirect
216. #1484C22semidirect
217. #1483C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#620402
#619622
#618112
#615902
#203092
#202902
#202872
#202752
#202742
#202512
#202412
#201702
#201632
#201602
#201592
#201362
#200362
#200272
#200222
#197222
#195362
#195092
#194482
#194282
#187382
#185852
#185702
#185542
#179552
#179502