Finite Group Databasebeta

← #6367811

Subgroups — #6367811

Order 512.

1659 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62503C211yesmaximal, characteristic, complemented
2#62463C211yesmaximal, characteristic, complemented
3#62033C211yesmaximal, characteristic, complemented
4#61692C211yesmaximal, characteristic, complemented
5#20313C211yesmaximal, characteristic, complemented
6#20307C211yesmaximal, characteristic, complemented
7#20268C211yesmaximal, characteristic, complemented
8#20195C211yesmaximal, characteristic, complemented
9#20172C211yesmaximal, characteristic, complemented
10#20163C211yesmaximal, characteristic, complemented
11#19999C211yesmaximal, characteristic, complemented
12#19972C211yesmaximal, characteristic, complemented
13#19915C211yesmaximal, characteristic, complemented
14#19892C211yesmaximal, characteristic, complemented
15#19891C211yesmaximal, characteristic, complemented
16#19883C211yesmaximal, characteristic, complemented
17#19852C211yesmaximal, characteristic, complemented
18#19851C211yesmaximal, characteristic, complemented
19#19767C211yesmaximal, characteristic, complemented
20#19763C211yesmaximal, characteristic, complemented
21#19623C211yesmaximal, characteristic, complemented
22#19536C211yesmaximal, characteristic, complemented
23#19504C211yesmaximal, characteristic, complemented
24#19378C211yesmaximal, characteristic, complemented
25#19312C211yesmaximal, characteristic, complemented
26#18705C211yesmaximal, characteristic, complemented
27#18689C211yesmaximal, characteristic, complemented
28#18660C211yesmaximal, characteristic, complemented
29#18640C211yesmaximal, characteristic, complemented
30#17996C211yesmaximal, characteristic, complemented
31#17968C211yesmaximal, characteristic, complemented
32#3546C2211yescharacteristic
33#3543C2211yescharacteristic
34#3515C2211yescharacteristic, complemented
35#3499C2211yescharacteristic, complemented
36#3400C2211yescharacteristic, complemented
37#3399C2211yescharacteristic
38#3397C2211yescharacteristic
39#3394C2211yescharacteristic
40#3392C2211yescharacteristic
41#3391C2211yescharacteristic
42#3386C2211yescharacteristic, complemented
43#3386C2211yescharacteristic, complemented
44#3384C2211yescharacteristic, complemented
45#3384C2211yescharacteristic, complemented
46#3366C2211yescharacteristic
47#3361C2211yescharacteristic, complemented
48#3345—21no—
49#3345—21no—
50#3343—21no—
51#3343—21no—
52#3335C2211yescharacteristic, complemented
53#3335C2211yescharacteristic, complemented
54#3334C2211yescharacteristic, complemented
55#3334C2211yescharacteristic, complemented
56#3333C2211yescharacteristic, complemented
57#3330C2211yescharacteristic, complemented
58#3328C2211yescharacteristic, complemented
59#3323—21no—
60#3320—21no—
61#3310—21no—
62#3307—21no—
63#3302C2211yescharacteristic, complemented
64#3298C2211yescharacteristic, complemented
65#3295C2211yescharacteristic
66#3284C2211yescharacteristic
67#3284C2211yescharacteristic, complemented
68#3284C2211yescharacteristic, complemented
69D4×SD16C2211yescharacteristic, complemented
70D4×D8C2211yescharacteristic
71#3278C2211yescharacteristic, complemented
72#3274—21no—
73#3274C2211yescharacteristic
74#3273—21no—
75#3272—21no—
76#3272C2211yescharacteristic
77#3272C2211yescharacteristic
78#3272C2211yescharacteristic, complemented
79#3268—21no—
80#3267—21no—
81#3267—21no—
82#3266—21no—
83#3264—21no—
84#3260—21no—
85#3252C2211yescharacteristic
86#3239C2211yescharacteristic, complemented
87#3238—21no—
88#3235C2211yescharacteristic, complemented
89#3234—21no—
90#3224—21no—
91#3222—21no—
92#3220—21no—
93#3218C2211yescharacteristic
94#3212C2211yescharacteristic
95#3208C2211yescharacteristic, complemented
96#3206C2211yescharacteristic, complemented
97#3205C2211yescharacteristic
98#3201—21no—
99#3200—21no—
100#3180—21no—
101#3179—21no—
102#3171C2211yescharacteristic
103#3167C2211yescharacteristic, complemented
104#3165C2211yescharacteristic, complemented
105C2×#501—21no—
106#3155—21no—
107#3151C2211yescharacteristic
108C2×#486C2211yescharacteristic, complemented
109#3119—21no—
110#3115C2211yescharacteristic, complemented
111#3102C2211yescharacteristic
112#3045—21no—
113#3038C2211yescharacteristic, complemented
114#3013—21no—
115#3010—21no—
116#2993C2211yescharacteristic, complemented
117#2981C2211yescharacteristic, complemented
118#2970C2211yescharacteristic, complemented
119#2969C2211yescharacteristic
120#1715C2211yescharacteristic
121#1715C2211yescharacteristic, complemented
122#1714C2211yescharacteristic, complemented
123#1714C2211yescharacteristic, complemented
124#1708C2211yescharacteristic, complemented
125#1708C2211yescharacteristic, complemented
126#1706C2211yescharacteristic
127#1706C2211yescharacteristic, complemented
128#1700C2211yescharacteristic, complemented
129#1699C2211yescharacteristic, complemented
130#1697C2211yescharacteristic, complemented
131#1697C2211yescharacteristic, complemented
132#1694C2211yescharacteristic, complemented
133#1693C2211yescharacteristic, complemented
134#1692C2211yescharacteristic, complemented
135#1691C2211yescharacteristic, complemented
136#1688C2211yescharacteristic
137#1688C2211yescharacteristic, complemented
138#1686C2211yescharacteristic, complemented
139#1686C2211yescharacteristic, complemented
140#1686C2211yescharacteristic, complemented
141#1685C2211yescharacteristic
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1680C2211yescharacteristic, complemented
145#1679C2211yescharacteristic, complemented
146#1677C2211yescharacteristic
147#1677C2211yescharacteristic, complemented
148#1674C2211yescharacteristic, complemented
149#1673C2211yescharacteristic, complemented
150#1672C2211yescharacteristic, complemented
151#1671C2211yescharacteristic, complemented
152#1667C2211yescharacteristic
153#1667C2211yescharacteristic, complemented
154#1666C2211yescharacteristic, complemented
155#1665C2211yescharacteristic, complemented
156#1665C2211yescharacteristic, complemented
157#1665C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1654C2211yescharacteristic, complemented
162#1653C2211yescharacteristic, complemented
163#1652C2211yescharacteristic, complemented
164#1644C2211yescharacteristic, complemented
165#1643C2211yescharacteristic, complemented
166#1642C2211yescharacteristic
167#1642C2211yescharacteristic
168#1641C2211yescharacteristic, complemented
169#1641C2211yescharacteristic, complemented
170#1641C2211yescharacteristic, complemented
171#1640C2211yescharacteristic, complemented
172#1640C2211yescharacteristic, complemented
173#1639C2211yescharacteristic
174#1639C2211yescharacteristic
175#1639C2211yescharacteristic, complemented
176#1638C2211yescharacteristic, complemented
177#1635C2211yescharacteristic, complemented
178#1631C2211yescharacteristic, complemented
179#1629C2211yescharacteristic, complemented
180#1627C2211yescharacteristic
181#1627C2211yescharacteristic, complemented
182#1627C2211yescharacteristic, complemented
183#1627C2211yescharacteristic, complemented
184#1626C2211yescharacteristic, complemented
185#1625C2211yescharacteristic
186#1625C2211yescharacteristic, complemented
187#1625C2211yescharacteristic, complemented
188#1625C2211yescharacteristic, complemented
189#1625C2211yescharacteristic, complemented
190#1622C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1591C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1590C2211yescharacteristic, complemented
197#1589C2211yescharacteristic, complemented
198#1584C2211yescharacteristic, complemented
199#1582C2211yescharacteristic, complemented
200#1582C2211yescharacteristic, complemented
201#1581C2211yescharacteristic, complemented
202#1580C2211yescharacteristic, complemented
203SD16⋊C8C2211yescharacteristic, complemented
204C8×SD16C2211yescharacteristic, complemented
205C8×SD16C2211yescharacteristic, complemented
206C8×D8C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1572C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1557C2211yescharacteristic, complemented
211#1555C2211yescharacteristic, complemented
212#1554C2211yescharacteristic, complemented
213#1546C2211yescharacteristic, complemented
214#1494C2211yescharacteristic
215#1494C2211yescharacteristic, complemented
216#1492C2211yescharacteristic, complemented
217#1476C2211yescharacteristic, complemented
218C8×M16C2211yescharacteristic, complemented
219C2×2−1+4—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—
228C2×#135—21no—
229C2×#135—21no—
230C2×#135—21no—
231C22×SD16—21no—
232C22×D8—21no—
233#560—41no—
234#560—41no—
235#559C2311yescharacteristic
236#557C2311yescharacteristic
237#556C2311yescharacteristic
238#554C2311yescharacteristic
239#554C2311yescharacteristic
240#553—21no—
241#553—21no—
242#552—21no—
243#552—21no—
244#552—41no—
245#550—21no—
246#550C2311yescharacteristic
247#550C2311yescharacteristic
248#550C2311yescharacteristic
249D4×Q8—21no—
250D4×Q8C2311yescharacteristic
251D4×Q8C2311yescharacteristic
252#547—21no—
253#547—21no—
254#547—21no—
255#547—21no—
256#547—41no—
257#547C2311yescharacteristic
258#547C2311yescharacteristic
259#547C2311yescharacteristic
260#547C2311yescharacteristic
261#546—21no—
262#546—21no—
263#546—21no—
264#546—21no—
265D42—21no—
266D42—21no—
267D42C2311yescharacteristic
268D42C2311yescharacteristic
269#542—21no—
270#541—21no—
271#540—21no—
272#540—21no—
273#539—41no—
274#538—41no—
275#537—21no—
276#536—21no—
277#536—41no—
278#535—21no—
279#535—21no—
280#535—21no—
281#535—21no—
282#534—41no—
283#533C2311yescharacteristic
284#532—21no—
285#532C2311yescharacteristic
286#532C2311yescharacteristic
287C2×C4⋊Q8—21no—
288C2×C4⋊Q8C2311yescharacteristic
289C2×#127C2311yescharacteristic
290#529—21no—
291#529C2311yescharacteristic
292#529C2311yescharacteristic
293C2×#125—21no—
294#520—21no—
295C4×#41C2311yescharacteristic
296#501—21no—
297#501—21no—
298#501—21no—
299#501—21no—
300#501—21no—
301#501—21no—
302#501—21no—
303#501—21no—
304#501D411yescharacteristic
305#500C2311yescharacteristic
306#500C2311yescharacteristic
307#498C2311yescharacteristic
308#498C2311yescharacteristic
309#498C2311yescharacteristic
310#497—21no—
311#497—21no—
312#496—21no—
313#496—21no—
314#496—21no—
315#496—21no—
316#496D411yescharacteristic
317#495—21no—
318#495—21no—
319#493—21no—
320#493—21no—
321#493C2311yescharacteristic
322#493C2311yescharacteristic
323#492—21no—
324#492C2311yescharacteristic
325#492C2311yescharacteristic
326#492C2311yescharacteristic
327#492C2311yescharacteristic
328#492C2311yescharacteristic
329#492C2311yescharacteristic
330#492C2311yescharacteristic
331#491—21no—
332#490—21no—
333#490—21no—
334#490D411yescharacteristic
335#489—21no—
336#489D411yescharacteristic
337#488—21no—
338#488—21no—
339#487C2311yescharacteristic
340#487C2311yescharacteristic
341#487C2311yescharacteristic
342#486—21no—
343#486—41no—
344#486C2311yescharacteristic
345#486C2311yescharacteristic
346#486C2311yescharacteristic
347#486C2311yescharacteristic
348#486C2311yescharacteristic
349#486C2311yescharacteristic
350#486C2311yescharacteristic
351#485—21no—
352#485—21no—
353#485D411yescharacteristic
354#484—21no—
355#484—21no—
356#483—21no—
357#483—21no—
358#483—21no—
359#482—21no—
360#482—21no—
361#482—21no—
362#482D411yescharacteristic
363#481—21no—
364#481—21no—
365#481—21no—
366#481—21no—
367#480—21no—
368#480—21no—
369#480—21no—
370#480—21no—
371#480—21no—
372#479—21no—
373#479D411yescharacteristic
374#478—21no—
375#478—21no—
376#478—21no—
377#478—21no—
378#478—21no—
379#478—21no—
380#478D411yescharacteristic
381#477—21no—
382#477—21no—
383#477C2311yescharacteristic
384#476—21no—
385#476—21no—
386#476C2311yescharacteristic
387#476C2311yescharacteristic
388#476C2311yescharacteristic
389#475C2311yescharacteristic
390#475C2311yescharacteristic
391#475C2311yescharacteristic
392#474C2311yescharacteristic
393#474C2311yescharacteristic
394#474C2311yescharacteristic
395#474C2311yescharacteristic
396#474C2311yescharacteristic
397#470—21no—
398#470—21no—
399#469—21no—
400#469D411yescharacteristic
401#469D411yescharacteristic
402#468—21no—
403#468—21no—
404#468—21no—
405#468—21no—
406#468—21no—
407#468—21no—
408#468—21no—
409#468D411yescharacteristic
410#468D411yescharacteristic
411#467—21no—
412#466—21no—
413#466—21no—
414#466—21no—
415#465—21no—
416#465—21no—
417#465—21no—
418#465—21no—
419#465—21no—
420#465—21no—
421#465—21no—
422#465—21no—
423#465—41no—
424#464—21no—
425#464—21no—
426#464—21no—
427#464D411yescharacteristic
428#463—21no—
429#463—21no—
430#463—21no—
431#463—21no—
432#463D411yescharacteristic
433#462C2311yescharacteristic
434#462C2311yescharacteristic
435#462C2311yescharacteristic
436#462C2311yescharacteristic
437#461—21no—
438#461—21no—
439#461—21no—
440#461—21no—
441#461C2311yescharacteristic
442#461C2311yescharacteristic
443#461C2311yescharacteristic
444#461C2311yescharacteristic
445#460—21no—
446#460—21no—
447#460—21no—
448#460—21no—
449#460—21no—
450#460C2311yescharacteristic
451#460C2311yescharacteristic
452#460C2311yescharacteristic
453#460C2311yescharacteristic
454#459—21no—
455#459—21no—
456#459—21no—
457#459—21no—
458#459—21no—
459#459C2311yescharacteristic
460#459C2311yescharacteristic
461#459C2311yescharacteristic
462#459C2311yescharacteristic
463#459C2311yescharacteristic
464#459C2311yescharacteristic
465#459C2311yescharacteristic
466#459C2311yescharacteristic
467#452—21no—
468#452—21no—
469#452—21no—
470#452—21no—
471#452—21no—
472#452—21no—
473#452—21no—
474#452D411yescharacteristic
475#451—21no—
476#451—21no—
477#450—21no—
478#450—21no—
479#450—21no—
480#450—21no—
481#450—21no—
482#450—21no—
483#450—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#449—21no—
493#449—21no—
494#449D411yescharacteristic
495#448—21no—
496#448—21no—
497#448—21no—
498#448—21no—
499#448—21no—
500#448—21no—
501#447—21no—
502#447—21no—
503#447—21no—
504#447—21no—
505#447—21no—
506#446C2311yescharacteristic
507#446C2311yescharacteristic
508#446C2311yescharacteristic
509#446C2311yescharacteristic
510C8×Q8C2311yescharacteristic
511C8×Q8C2311yescharacteristic
512#442—21no—
513#442—21no—
514#442—21no—
515#442—21no—
516#442—21no—
517#440—21no—
518#440—21no—
519#440—21no—
520#440—21no—
521#440—21no—
522C4×Q16C2311yescharacteristic
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16—41no—
526C4×SD16C2311yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×SD16C2311yescharacteristic
529C4×SD16C2311yescharacteristic
530C4×D8—21no—
531C4×D8—21no—
532C4×D8C2311yescharacteristic
533C4×D8C2311yescharacteristic
534C4×D8C2311yescharacteristic
535#436—21no—
536#436—21no—
537#436C2311yescharacteristic
538#436C2311yescharacteristic
539#436C2311yescharacteristic
540#436C2311yescharacteristic
541#435—21no—
542#435—21no—
543#435—21no—
544#435—21no—
545#435—21no—
546#435—21no—
547C8×D4C2311yescharacteristic
548C8×D4C2311yescharacteristic
549C8×D4C2311yescharacteristic
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552C8×D4C2311yescharacteristic
553#433—21no—
554#433—21no—
555#432—21no—
556#432C2311yescharacteristic
557#432C2311yescharacteristic
558#431C2311yescharacteristic
559#431C2311yescharacteristic
560#428—21no—
561#428—21no—
562C2×#107—21no—
563C2×#107—21no—
564C2×#106—21no—
565C2×#106—21no—
566#424—21no—
567#423C2311yescharacteristic
568#419—21no—
569#418—21no—
570#417—21no—
571#417—21no—
572#416—21no—
573C2×#103—21no—
574C2×#102—21no—
575C2×#102—41no—
576#408—21no—
577#408—21no—
578#405—21no—
579C4×M16C2311yescharacteristic
580C2×#97—21no—
581C2×C4×C8C2311yescharacteristic
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
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624C82C2311yescharacteristic
625C82C2311yescharacteristic
6262−1+4—82no—
6272−1+4—82no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—21no—
636C2×#41—21no—
637C2×#41—41no—
638C2×#41—41no—
639C2×#41—41no—
640C2×#41C2×D411yescharacteristic
641C22×Q8—21no—
642C22×Q8—21no—
643C22×Q8—21no—
644C22×Q8—41no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—41no—
653#137—82no—
654AGL(1,ℤ/8)—82no—
655AGL(1,ℤ/8)—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—
661#135—82no—
662#135—82no—
663#135—82no—
664C2×Q16—21no—
665C2×Q16—21no—
666C2×Q16—21no—
667C2×Q16—21no—
668C2×Q16C2×D411yescharacteristic
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—21no—
684C2×SD16—21no—
685C2×SD16—21no—
686C2×SD16—21no—
687C2×SD16—21no—
688C2×SD16—21no—
689C2×SD16—41no—
690C2×SD16—82no—
691C2×SD16C2×D411yescharacteristic
692C2×SD16C2×D411yescharacteristic
693C2×SD16C2×D411yescharacteristic
694C2×SD16C2×D411yescharacteristic
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—21no—
707C2×D8—82no—
708C2×D8C2×D411yescharacteristic
709C2×D8C2×D411yescharacteristic
710C2×D8C2×D411yescharacteristic
711C2×M16—21no—
712C2×M16—21no—
713C2×M16—21no—
714C2×M16—21no—
715C2×M16—21no—
716C2×M16C2×D411yescharacteristic
717C2×M16C2×D411yescharacteristic
718C22×C8—21no—
719C22×C8—21no—
720C22×C8—21no—
721C22×C8—21no—
722C22×C8—21no—
723C22×C8—21no—
724C22×C8—21no—
725C4⋊Q8—21no—
726C4⋊Q8—21no—
727C4⋊Q8—21no—
728C4⋊Q8—21no—
729C4⋊Q8—21no—
730C4⋊Q8—21no—
731C4⋊Q8—41no—
732C4⋊Q8—41no—
733C4⋊Q8C2×D411yescharacteristic
734C4⋊Q8C2411yescharacteristic
735C4⋊Q8C2411yescharacteristic
736C4⋊Q8C2411yescharacteristic
737C4⋊Q8C2411yescharacteristic
738C4⋊Q8C2411yescharacteristic
739#127—21no—
740#127—21no—
741#127—21no—
742#127—21no—
743#127—21no—
744#127—21no—
745#127—41no—
746#127C2×D411yescharacteristic
747#127C2411yescharacteristic
748#127C2411yescharacteristic
749#127C2411yescharacteristic
750#126—21no—
751#126—21no—
752#126—41no—
753#126—41no—
754#126—41no—
755#126—41no—
756#126—41no—
757#125—21no—
758#125—21no—
759#125—21no—
760#125—21no—
761#125—41no—
762#125—41no—
763#125—41no—
764#125—41no—
765#125C2×D411yescharacteristic
766#125C2×D411yescharacteristic
767#124—21no—
768#124—21no—
769#124—21no—
770#124—21no—
771#124—21no—
772#124—41no—
773#124—41no—
774#124C2×D411yescharacteristic
775#124C2×D411yescharacteristic
776#123—21no—
777#123—21no—
778#123—41no—
779#123—41no—
780#123—41no—
781#123—41no—
782#123—41no—
783#123—41no—
784#123—41no—
785#123—41no—
786#123—41no—
787#123—41no—
788#123—41no—
789#123—41no—
790#123—41no—
791#123—41no—
792#123—41no—
793#123—41no—
794#123—41no—
795C22⋊Q8—21no—
796C22⋊Q8—21no—
797C22⋊Q8—21no—
798C22⋊Q8—21no—
799C22⋊Q8—21no—
800C22⋊Q8—21no—
801C22⋊Q8—21no—
802C22⋊Q8—21no—
803C22⋊Q8—21no—
804C22⋊Q8—21no—
805C22⋊Q8—21no—
806C22⋊Q8—41no—
807C22⋊Q8—41no—
808C22⋊Q8—41no—
809C22⋊Q8—41no—
810C22⋊Q8—41no—
811C22⋊Q8—41no—
812C22⋊Q8—41no—
813C22⋊Q8C2×D411yescharacteristic
814C22⋊Q8C2×D411yescharacteristic
815#121—21no—
816#121—21no—
817#121—21no—
818#121—21no—
819#121—21no—
820#121—21no—
821#121—21no—
822#121—21no—
823#121—21no—
824#121—21no—
825#121—21no—
826#121—21no—
827#121—21no—
828#121—21no—
829#121—41no—
830#121—41no—
831#121—41no—
832#121—41no—
833#121—41no—
834#121—41no—
835#121—41no—
836#121—41no—
837#121—41no—
838#121—41no—
839#121—41no—
840#121—41no—
841#121—41no—
842#121—41no—
843#121—41no—
844#121—41no—
845#121C2×D411yescharacteristic
846#121C2×D411yescharacteristic
847#121C2×D411yescharacteristic
848#121C2×D411yescharacteristic
849#120—41no—
850#120—41no—
851#120—41no—
852#120—41no—
853#120—41no—
854#120—41no—
855#120—41no—
856#120—41no—
857#120—41no—
858#120—41no—
859C4×Q8—21no—
860C4×Q8—21no—
861C4×Q8—21no—
862C4×Q8—21no—
863C4×Q8—21no—
864C4×Q8C2×D411yescharacteristic
865C4×Q8C2411yescharacteristic
866C4×Q8C2411yescharacteristic
867C4×Q8C2411yescharacteristic
868C4×D4—21no—
869C4×D4—21no—
870C4×D4—21no—
871C4×D4—21no—
872C4×D4—21no—
873C4×D4—21no—
874C4×D4—21no—
875C4×D4—21no—
876C4×D4—21no—
877C4×D4—21no—
878C4×D4—21no—
879C4×D4—21no—
880C4×D4—21no—
881C4×D4—21no—
882C4×D4—21no—
883C4×D4—21no—
884C4×D4—41no—
885C4×D4—41no—
886C4×D4—41no—
887C4×D4—41no—
888C4×D4C2×D411yescharacteristic
889C4×D4C2411yescharacteristic
890C4×D4C2411yescharacteristic
891C4×D4C2411yescharacteristic
892C4×D4C2411yescharacteristic
893C4×D4C2411yescharacteristic
894#117—21no—
895#117—21no—
896#117—21no—
897#117—21no—
898#117—21no—
899#117—41no—
900#117—41no—
901#117C2×D411yescharacteristic
902C2×C4⋊C4—21no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—21no—
909C2×C4⋊C4—21no—
910C2×C4⋊C4—41no—
911C2×C4⋊C4—41no—
912C2×C4⋊C4—41no—
913C2×C22⋊C4—41no—
914C2×C22⋊C4—41no—
915C2×C42—21no—
916C2×C42C2411yescharacteristic
917#107—21no—
918#107—21no—
919#107—21no—
920#107—21no—
921#107—21no—
922#107—21no—
923#107—21no—
924#107—21no—
925#107—21no—
926#107—21no—
927#107C2×D411yescharacteristic
928#107C2×D411yescharacteristic
929#107C2×D411yescharacteristic
930#107C2×D411yescharacteristic
931#106—21no—
932#106—21no—
933#106—21no—
934#106—21no—
935#106—21no—
936#106—21no—
937#106—21no—
938#106—21no—
939#106—21no—
940#106—21no—
941#106—41no—
942#106C2×D411yescharacteristic
943#106C2×D411yescharacteristic
944#106C2×D411yescharacteristic
945#106C2×D411yescharacteristic
946C4⋊C8—21no—
947C4⋊C8—21no—
948C4⋊C8—21no—
949C4⋊C8—21no—
950C4⋊C8—21no—
951C4⋊C8—21no—
952C4⋊C8—21no—
953C4⋊C8C2×D411yescharacteristic
954C4⋊C8C2×D411yescharacteristic
955C4⋊C8C2411yescharacteristic
956C4⋊C8C2411yescharacteristic
957C4⋊C8C2411yescharacteristic
958C4⋊C8C2411yescharacteristic
959C4⋊C8C2411yescharacteristic
960C4⋊C8C2411yescharacteristic
961C4⋊C8C2411yescharacteristic
962C4⋊C8C2411yescharacteristic
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—21no—
975#103—21no—
976#103—21no—
977#103—21no—
978#103—21no—
979#103—41no—
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
982#103C2×D411yescharacteristic
983#103C2×D411yescharacteristic
984#103C2×D411yescharacteristic
985#103C2×D411yescharacteristic
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—41no—
1011#102—41no—
1012#102—41no—
1013#102—41no—
1014#102—41no—
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023#102C2×D411yescharacteristic
1024#102C2×D411yescharacteristic
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8C2×D411yescharacteristic
1039C22⋊C8C2×D411yescharacteristic
1040#97—21no—
1041#97—21no—
1042#97—21no—
1043#97—21no—
1044#97—21no—
1045#97—21no—
1046#97C2×D411yescharacteristic
1047#97C2×D411yescharacteristic
1048C4×C8—21no—
1049C4×C8—21no—
1050C4×C8—21no—
1051C4×C8—21no—
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C4×C8C2411yescharacteristic
1056C4×C8C2411yescharacteristic
1057C4×C8C2411yescharacteristic
1058C24—41no—
1059C24—41no—
1060C24—41no—
1061#41—22no—
1062#41—41no—
1063#41—42no—
1064#41—42no—
1065#41—42no—
1066#41—81no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—84no—
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—84no—
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—41no—
1093C2×Q8—42no—
1094C2×Q8—42no—
1095C2×Q8—81no—
1096C2×Q8—81no—
1097C2×Q8—81no—
1098C2×Q8—81no—
1099C2×Q8—84no—
1100C2×Q8C22×D411yescharacteristic
1101C2×Q8C22×D411yescharacteristic
1102C2×Q8C22×D411yescharacteristic
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—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
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—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—81no—
1138C2×D4—81no—
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—81no—
1149C2×D4—82no—
1150C2×D4—162no—
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—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
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×C4C22×D411yescharacteristic
1178C22×C4C22×D411yescharacteristic
1179C22×C4H(5,𝔽2)11yescharacteristic
1180Q16—41no—
1181Q16—81no—
1182Q16—81no—
1183Q16—81no—
1184Q16—81no—
1185SD16—22no—
1186SD16—22no—
1187SD16—22no—
1188SD16—41no—
1189SD16—42no—
1190SD16—42no—
1191SD16—42no—
1192SD16—81no—
1193SD16—81no—
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—
1208SD16—81no—
1209SD16—82no—
1210D8—22no—
1211D8—22no—
1212D8—22no—
1213D8—42no—
1214D8—42no—
1215D8—42no—
1216D8—42no—
1217D8—42no—
1218D8—81no—
1219D8—81no—
1220D8—81no—
1221D8—81no—
1222D8—81no—
1223D8—81no—
1224D8—81no—
1225M16—22no—
1226M16—22no—
1227M16—42no—
1228M16—81no—
1229M16—81no—
1230M16—81no—
1231M16—81no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—42no—
1243C2×C8—42no—
1244C2×C8—42no—
1245C2×C8—81no—
1246C2×C8—81no—
1247C2×C8—81no—
1248C2×C8—81no—
1249C2×C8C22×D411yescharacteristic
1250C2×C8C22×D411yescharacteristic
1251C2×C8C22×D411yescharacteristic
1252C2×C8C22×D411yescharacteristic
1253C2×C8C22×D411yescharacteristic
1254C2×C8C22×D411yescharacteristic
1255C2×C8C22×D411yescharacteristic
1256C2×C8C22×D411yescharacteristic
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
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⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4C22×D411yescharacteristic
1297C4⋊C4C22×D411yescharacteristic
1298C4⋊C4C22×D411yescharacteristic
1299C4⋊C4C22×D411yescharacteristic
1300C4⋊C4C22×D411yescharacteristic
1301C4⋊C4C22×D411yescharacteristic
1302C4⋊C4C22×D411yescharacteristic
1303C4⋊C4C22×D411yescharacteristic
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—21no—
1315C22⋊C4—21no—
1316C22⋊C4—21no—
1317C22⋊C4—21no—
1318C22⋊C4—21no—
1319C22⋊C4—21no—
1320C22⋊C4—21no—
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—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C42—21no—
1343C42—21no—
1344C42—21no—
1345C42—21no—
1346C42—21no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42C22×D411yescharacteristic
1351C42C22×D411yescharacteristic
1352C42H(5,𝔽2)11yescharacteristic
1353C42C2511yescharacteristic
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—82no—
1363C23—161no—
1364C23—161no—
1365C23—161no—
1366C23—161no—
1367C23—161no—
1368C23—161no—
1369C23—161no—
1370C23—161no—
1371C23D4211yescharacteristic
1372Q8—21no—
1373Q8—21no—
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—82no—
1390Q8—82no—
1391D4—21no—
1392D4—21no—
1393D4—21no—
1394D4—21no—
1395D4—21no—
1396D4—21no—
1397D4—21no—
1398D4—21no—
1399D4—21no—
1400D4—42no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—81no—
1414D4—81no—
1415D4—81no—
1416D4—81no—
1417D4—81no—
1418D4—81no—
1419D4—81no—
1420D4—81no—
1421D4—81no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
1425D4—161no—
1426D4—161no—
1427D4—161no—
1428D4—161no—
1429D4—161no—
1430D4—161no—
1431D4—161no—
1432D4—161no—
1433D4—161no—
1434D4—161no—
1435D4—161no—
1436D4—161no—
1437D4—161no—
1438D4—161no—
1439D4—161no—
1440D4#57612yes—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—41no—
1457C2×C4—42no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—81no—
1474C2×C4—82no—
1475C2×C4—82no—
1476C2×C4—82no—
1477C2×C4—82no—
1478C2×C4—82no—
1479C2×C4—82no—
1480C2×C4—161no—
1481C2×C4—161no—
1482C2×C4—161no—
1483C2×C4—161no—
1484C2×C4—161no—
1485C2×C4—161no—
1486C2×C4—161no—
1487C2×C4—161no—
1488C2×C4D4211yescharacteristic
1489C2×C4D4211yescharacteristic
1490C2×C4D4211yescharacteristic
1491C2×C4C23×D411yescharacteristic
1492C2×C4C23×D411yescharacteristic
1493C2×C4C2×H(5,𝔽2)11yescharacteristic
1494C8—21no—
1495C8—21no—
1496C8—21no—
1497C8—21no—
1498C8—21no—
1499C8—21no—
1500C8—41no—
1501C8—41no—
1502C8—41no—
1503C8—41no—
1504C8—41no—
1505C8—41no—
1506C8—41no—
1507C8—41no—
1508C8—41no—
1509C8—41no—
1510C8#57712yes—
1511C8#57712yes—
1512C22—21no—
1513C22—22no—
1514C22—21no—
1515C22—21no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—322no—
1540C22—322no—
1541C22—322no—
1542C22C2×D4211yescharacteristic
1543C4—21no—
1544C4—21no—
1545C4—21no—
1546C4—21no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—81no—
1559C4—81no—
1560C4—81no—
1561C4—81no—
1562C4—81no—
1563C4C2×#57611yescharacteristic
1564C4C2×#57711yescharacteristic
1565C4C2×#57711yescharacteristic
1566C4#358511yescharacteristic
1567C2—41no—
1568C2—42no—
1569C2—81no—
1570C2—81no—
1571C2—81no—
1572C2—81no—
1573C2—161no—
1574C2—161no—
1575C2—161no—
1576C2#6107211yescharacteristic
1577C2#6108711yescharacteristic
1578C2#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. #62503C2semidirect
2. #62463C2semidirect
3. #62033C2semidirect
4. #61692C2semidirect
5. #20313C2semidirect
6. #20307C2semidirect
7. #20268C2semidirect
8. #20195C2semidirect
9. #20172C2semidirect
10. #20163C2semidirect
11. #19999C2semidirect
12. #19972C2semidirect
13. #19915C2semidirect
14. #19892C2semidirect
15. #19891C2semidirect
16. #19883C2semidirect
17. #19852C2semidirect
18. #19851C2semidirect
19. #19767C2semidirect
20. #19763C2semidirect
21. #19623C2semidirect
22. #19536C2semidirect
23. #19504C2semidirect
24. #19378C2semidirect
25. #19312C2semidirect
26. #18705C2semidirect
27. #18689C2semidirect
28. #18660C2semidirect
29. #18640C2semidirect
30. #17996C2semidirect
31. #17968C2semidirect
34. #3515C22semidirect
35. #3499C22semidirect
36. #3400C22semidirect
42. #3386C22semidirect
43. #3386C22semidirect
44. #3384C22semidirect
45. #3384C22semidirect
47. #3361C22semidirect
52. #3335C22semidirect
53. #3335C22semidirect
54. #3334C22semidirect
55. #3334C22semidirect
56. #3333C22semidirect
57. #3330C22semidirect
58. #3328C22semidirect
63. #3302C22semidirect
64. #3298C22semidirect
67. #3284C22semidirect
68. #3284C22semidirect
69. D4×SD16C22semidirect
71. #3278C22semidirect
78. #3272C22semidirect
86. #3239C22semidirect
88. #3235C22semidirect
95. #3208C22semidirect
96. #3206C22semidirect
103. #3167C22semidirect
104. #3165C22semidirect
108. C2×#486C22semidirect
110. #3115C22semidirect
113. #3038C22semidirect
116. #2993C22semidirect
117. #2981C22semidirect
118. #2970C22semidirect
121. #1715C22semidirect
122. #1714C22semidirect
123. #1714C22semidirect
124. #1708C22semidirect
125. #1708C22semidirect
127. #1706C22semidirect
128. #1700C22semidirect
129. #1699C22semidirect
130. #1697C22semidirect
131. #1697C22semidirect
132. #1694C22semidirect
133. #1693C22semidirect
134. #1692C22semidirect
135. #1691C22semidirect
137. #1688C22semidirect
138. #1686C22semidirect
139. #1686C22semidirect
140. #1686C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1680C22semidirect
145. #1679C22semidirect
147. #1677C22semidirect
148. #1674C22semidirect
149. #1673C22semidirect
150. #1672C22semidirect
151. #1671C22semidirect
153. #1667C22semidirect
154. #1666C22semidirect
155. #1665C22semidirect
156. #1665C22semidirect
157. #1665C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1654C22semidirect
162. #1653C22semidirect
163. #1652C22semidirect
164. #1644C22semidirect
165. #1643C22semidirect
168. #1641C22semidirect
169. #1641C22semidirect
170. #1641C22semidirect
171. #1640C22semidirect
172. #1640C22semidirect
175. #1639C22semidirect
176. #1638C22semidirect
177. #1635C22semidirect
178. #1631C22semidirect
179. #1629C22semidirect
181. #1627C22semidirect
182. #1627C22semidirect
183. #1627C22semidirect
184. #1626C22semidirect
186. #1625C22semidirect
187. #1625C22semidirect
188. #1625C22semidirect
189. #1625C22semidirect
190. #1622C22semidirect
191. #1622C22semidirect
192. #1594C22semidirect
193. #1592C22semidirect
194. #1591C22semidirect
195. #1590C22semidirect
196. #1590C22semidirect
197. #1589C22semidirect
198. #1584C22semidirect
199. #1582C22semidirect
200. #1582C22semidirect
201. #1581C22semidirect
202. #1580C22semidirect
203. SD16⋊C8C22semidirect
204. C8×SD16C22semidirect
205. C8×SD16C22semidirect
206. C8×D8C22semidirect
207. C8×D8C22semidirect
208. #1572C22semidirect
209. #1569C22semidirect
210. #1557C22semidirect
211. #1555C22semidirect
212. #1554C22semidirect
213. #1546C22semidirect
215. #1494C22semidirect
216. #1492C22semidirect
217. #1476C22semidirect
218. C8×M16C22semidirect

Maximal subgroups

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

subgroupindex
#625032
#624632
#620332
#616922
#203132
#203072
#202682
#201952
#201722
#201632
#199992
#199722
#199152
#198922
#198912
#198832
#198522
#198512
#197672
#197632
#196232
#195362
#195042
#193782
#193122
#187052
#186892
#186602
#186402
#179962
#179682