Finite Group Databasebeta

← #6366143

Subgroups — #6366143

Order 512.

1678 conjugacy classes of subgroups.

The subgroup lattice has 1604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62053C211yesmaximal, characteristic, complemented
2#62037C211yesmaximal, characteristic, complemented
3#62003C211yesmaximal, characteristic, complemented
4#61589C211yesmaximal, characteristic, complemented
5#20303C211yesmaximal, characteristic, complemented
6#20298C211yesmaximal, characteristic, complemented
7#20266C211yesmaximal, characteristic, complemented
8#20198C211yesmaximal, characteristic, complemented
9#20171C211yesmaximal, characteristic, complemented
10#20170C211yesmaximal, characteristic, complemented
11#20170C211yesmaximal, characteristic, complemented
12#20162C211yesmaximal, characteristic, complemented
13#20090C211yesmaximal, characteristic, complemented
14#20066C211yesmaximal, characteristic, complemented
15#20063C211yesmaximal, characteristic, complemented
16#20023C211yesmaximal, characteristic, complemented
17#19922C211yesmaximal, characteristic, complemented
18#19886C211yesmaximal, characteristic, complemented
19#19834C211yesmaximal, characteristic, complemented
20#19762C211yesmaximal, characteristic, complemented
21#19735C211yesmaximal, characteristic, complemented
22#19576C211yesmaximal, characteristic, complemented
23#19541C211yesmaximal, characteristic, complemented
24#19495C211yesmaximal, characteristic, complemented
25#19422C211yesmaximal, characteristic, complemented
26#18930C211yesmaximal, characteristic, complemented
27#18920C211yesmaximal, characteristic, complemented
28#18822C211yesmaximal, characteristic, complemented
29#18786C211yesmaximal, characteristic, complemented
30#18031C211yesmaximal, characteristic, complemented
31#17946C211yesmaximal, characteristic, complemented
32#3543C2211yescharacteristic, complemented
33#3520C2211yescharacteristic
34#3517C2211yescharacteristic
35D4×#41C2211yescharacteristic, complemented
36#3399C2211yescharacteristic, complemented
37#3397C2211yescharacteristic
38#3394C2211yescharacteristic
39#3392C2211yescharacteristic, complemented
40#3391C2211yescharacteristic, complemented
41#3391C2211yescharacteristic, complemented
42#3373C2211yescharacteristic, complemented
43#3368C2211yescharacteristic, complemented
44#3365C2211yescharacteristic, complemented
45#3359C2211yescharacteristic, complemented
46#3358C2211yescharacteristic, complemented
47#3358C2211yescharacteristic, complemented
48#3332—21no—
49#3332C2211yescharacteristic
50#3332C2211yescharacteristic, complemented
51#3332C2211yescharacteristic, complemented
52#3332C2211yescharacteristic, complemented
53#3330—21no—
54#3330C2211yescharacteristic, complemented
55#3330C2211yescharacteristic, complemented
56#3328C2211yescharacteristic, complemented
57#3327—21no—
58#3324C2211yescharacteristic, complemented
59#3323—21no—
60#3322—21no—
61#3318—21no—
62#3314—21no—
63#3295—21no—
64#3294C2211yescharacteristic
65#3294C2211yescharacteristic, complemented
66#3287C2211yescharacteristic, complemented
67#3284C2211yescharacteristic, complemented
68#3280—21no—
69#3278C2211yescharacteristic, complemented
70#3277—21no—
71#3276C2211yescharacteristic, complemented
72#3276C2211yescharacteristic, complemented
73#3275—21no—
74#3274—21no—
75#3274—21no—
76#3274C2211yescharacteristic, complemented
77#3274C2211yescharacteristic, complemented
78#3272—21no—
79#3272C2211yescharacteristic, complemented
80#3272C2211yescharacteristic, complemented
81#3272C2211yescharacteristic, complemented
82#3268—21no—
83#3264—21no—
84#3259—21no—
85#3257—21no—
86#3251—21no—
87#3251C2211yescharacteristic
88#3251C2211yescharacteristic, complemented
89#3248C2211yescharacteristic, complemented
90#3228C2211yescharacteristic, complemented
91#3224—21no—
92#3220—21no—
93#3212C2211yescharacteristic
94#3210C2211yescharacteristic, complemented
95#3208C2211yescharacteristic, complemented
96#3207—21no—
97#3207C2211yescharacteristic, complemented
98#3205C2211yescharacteristic
99#3205C2211yescharacteristic, complemented
100#3197—21no—
101#3196—21no—
102#3119—21no—
103#3119—21no—
104#3107C2211yescharacteristic, complemented
105#3105—21no—
106#3105C2211yescharacteristic
107#3102C2211yescharacteristic
108#3045—21no—
109#3045—21no—
110#3038C2211yescharacteristic
111#3036—21no—
112#3036C2211yescharacteristic, complemented
113C2×#459C2211yescharacteristic
114#3007—21no—
115#3005—21no—
116#2994C2211yescharacteristic, complemented
117#2993C2211yescharacteristic, complemented
118#2991C2211yescharacteristic, complemented
119#2975C2211yescharacteristic, complemented
120#1721C2211yescharacteristic, complemented
121#1721C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1719C2211yescharacteristic, complemented
124#1717C2211yescharacteristic, complemented
125#1715C2211yescharacteristic, complemented
126#1709C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1701C2211yescharacteristic
131#1701C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1701C2211yescharacteristic, complemented
135#1701C2211yescharacteristic, complemented
136#1701C2211yescharacteristic, complemented
137#1699C2211yescharacteristic, complemented
138#1690C2211yescharacteristic, complemented
139#1689C2211yescharacteristic, complemented
140#1687C2211yescharacteristic
141#1687C2211yescharacteristic, complemented
142#1687C2211yescharacteristic, complemented
143#1687C2211yescharacteristic, complemented
144#1687C2211yescharacteristic, complemented
145#1686C2211yescharacteristic, complemented
146#1685C2211yescharacteristic, complemented
147#1685C2211yescharacteristic, complemented
148#1682C2211yescharacteristic, complemented
149#1682C2211yescharacteristic, complemented
150#1681C2211yescharacteristic, complemented
151#1680C2211yescharacteristic, complemented
152#1680C2211yescharacteristic, complemented
153#1679C2211yescharacteristic, complemented
154#1668C2211yescharacteristic, complemented
155#1666C2211yescharacteristic, complemented
156#1666C2211yescharacteristic, complemented
157#1666C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1654C2211yescharacteristic, complemented
162#1653C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1650C2211yescharacteristic, complemented
165#1648C2211yescharacteristic, complemented
166#1647C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1642C2211yescharacteristic, complemented
169#1642C2211yescharacteristic, complemented
170#1642C2211yescharacteristic, complemented
171#1641C2211yescharacteristic, complemented
172#1641C2211yescharacteristic, complemented
173#1641C2211yescharacteristic, complemented
174#1640C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1628C2211yescharacteristic, complemented
177#1627C2211yescharacteristic
178#1627C2211yescharacteristic, complemented
179#1627C2211yescharacteristic, complemented
180#1625C2211yescharacteristic
181#1625C2211yescharacteristic, complemented
182#1625C2211yescharacteristic, complemented
183#1625C2211yescharacteristic, complemented
184#1621C2211yescharacteristic
185#1621C2211yescharacteristic, complemented
186#1621C2211yescharacteristic, complemented
187#1621C2211yescharacteristic, complemented
188#1620C2211yescharacteristic, complemented
189#1619C2211yescharacteristic
190#1619C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1594C2211yescharacteristic, complemented
194#1592C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1590C2211yescharacteristic, complemented
197#1589C2211yescharacteristic, complemented
198#1588C2211yescharacteristic, complemented
199#1587C2211yescharacteristic, complemented
200#1586C2211yescharacteristic, complemented
201#1586C2211yescharacteristic, complemented
202#1583C2211yescharacteristic, complemented
203#1583C2211yescharacteristic, complemented
204#1583C2211yescharacteristic, complemented
205#1581C2211yescharacteristic, complemented
206#1579C2211yescharacteristic, complemented
207C8×SD16C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1570C2211yescharacteristic, complemented
210#1561C2211yescharacteristic, complemented
211#1547C2211yescharacteristic, complemented
212#1545C2211yescharacteristic, complemented
213#1540C2211yescharacteristic, complemented
214#1495C2211yescharacteristic, complemented
215#1486C2211yescharacteristic, complemented
216#1482C2211yescharacteristic, complemented
217#1477C2211yescharacteristic, complemented
218#1454C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—21no—
221C2×#137—21no—
222C2×#137—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×AGL(1,ℤ/8)—21no—
229C2×AGL(1,ℤ/8)—21no—
230C2×#135—21no—
231C2×#135—21no—
232C22×D8—21no—
233#560—41no—
234#559C2311yescharacteristic
235#557C2311yescharacteristic
236#556C2311yescharacteristic
237#554—21no—
238#553—21no—
239#553—41no—
240#552—21no—
241#551—41no—
242#550—21no—
243#550—21no—
244#550C2311yescharacteristic
245#550C2311yescharacteristic
246#550C2311yescharacteristic
247#550C2311yescharacteristic
248#550C2311yescharacteristic
249D4×Q8C2311yescharacteristic
250D4×Q8C2311yescharacteristic
251#548—21no—
252#548—21no—
253#547—21no—
254#547—21no—
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#547C2311yescharacteristic
259#546—21no—
260#546—21no—
261#546—21no—
262#546—21no—
263#546—41no—
264D42—21no—
265D42—21no—
266D42—21no—
267D42C2311yescharacteristic
268D42C2311yescharacteristic
269#542—21no—
270#540—21no—
271#540—21no—
272#540—21no—
273#540—41no—
274#539—41no—
275#535—21no—
276#535—21no—
277#534—41no—
278#533C2311yescharacteristic
279#532—21no—
280#532—21no—
281#532C2311yescharacteristic
282#532C2311yescharacteristic
283C2×#127C2311yescharacteristic
284#529—21no—
285#529C2311yescharacteristic
286#529C2311yescharacteristic
287#525—21no—
288#525—21no—
289#525—41no—
290C2×C22⋊Q8—21no—
291#520—21no—
292#520—21no—
293C4×#41C2311yescharacteristic
294C2×C4×D4—21no—
295C2×C4×D4C2311yescharacteristic
296#500C2311yescharacteristic
297#498C2311yescharacteristic
298#496—21no—
299#496—21no—
300#495—21no—
301#495—21no—
302#494C2311yescharacteristic
303#493—21no—
304#493—21no—
305#493C2311yescharacteristic
306#493C2311yescharacteristic
307#493C2311yescharacteristic
308#493C2311yescharacteristic
309#493C2311yescharacteristic
310#492—21no—
311#492C2311yescharacteristic
312#492C2311yescharacteristic
313#492C2311yescharacteristic
314#492C2311yescharacteristic
315#490—21no—
316#489—21no—
317#488—21no—
318#488—21no—
319#487—21no—
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#486—21no—
323#486—21no—
324#486C2311yescharacteristic
325#486C2311yescharacteristic
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#484—21no—
338#484—21no—
339#484D411yescharacteristic
340#482—21no—
341#482—41no—
342#482D411yescharacteristic
343#481—21no—
344#481—21no—
345#481—21no—
346#481—21no—
347#481D411yescharacteristic
348#480—21no—
349#480—21no—
350#479—21no—
351#479D411yescharacteristic
352#478—21no—
353#478—21no—
354#478—21no—
355#478—21no—
356#478—41no—
357#478D411yescharacteristic
358#478D411yescharacteristic
359#478D411yescharacteristic
360#476—21no—
361#475—21no—
362#475C2311yescharacteristic
363#475C2311yescharacteristic
364#475C2311yescharacteristic
365#475C2311yescharacteristic
366#474—21no—
367#474—21no—
368#474C2311yescharacteristic
369#474C2311yescharacteristic
370#474C2311yescharacteristic
371#474C2311yescharacteristic
372#470—21no—
373#470—21no—
374#470—21no—
375#469—21no—
376#469—21no—
377#469—21no—
378#469—21no—
379#469—21no—
380#469—21no—
381#469—21no—
382#469—21no—
383#468—21no—
384#468—21no—
385#468—21no—
386#468—21no—
387#468—21no—
388#468—21no—
389#468—21no—
390#468—21no—
391#468—21no—
392#467—21no—
393#466—21no—
394#466—21no—
395#466—21no—
396#465—21no—
397#465—21no—
398#464—21no—
399#464—21no—
400#464—21no—
401#464—21no—
402#464—21no—
403#464D411yescharacteristic
404#463—21no—
405#463—21no—
406#463—21no—
407#463—21no—
408#463—21no—
409#463—21no—
410#463—21no—
411#463—21no—
412#463—21no—
413#463—21no—
414#463D411yescharacteristic
415#463D411yescharacteristic
416#463D411yescharacteristic
417#462C2311yescharacteristic
418#462C2311yescharacteristic
419#462C2311yescharacteristic
420#461—21no—
421#461—21no—
422#461C2311yescharacteristic
423#461C2311yescharacteristic
424#461C2311yescharacteristic
425#461C2311yescharacteristic
426#461C2311yescharacteristic
427#460—21no—
428#460—21no—
429#460—21no—
430#460—21no—
431#460—21no—
432#460—21no—
433#460C2311yescharacteristic
434#460C2311yescharacteristic
435#460C2311yescharacteristic
436#460C2311yescharacteristic
437#460C2311yescharacteristic
438#459—21no—
439#459—21no—
440#459—21no—
441#459—21no—
442#459—21no—
443#459—21no—
444#459—21no—
445#459—21no—
446#459—21no—
447#459—21no—
448#459—21no—
449#459—21no—
450#459—41no—
451#459C2311yescharacteristic
452#459C2311yescharacteristic
453#459C2311yescharacteristic
454#459C2311yescharacteristic
455#459C2311yescharacteristic
456#459C2311yescharacteristic
457#459C2311yescharacteristic
458#459C2311yescharacteristic
459#459C2311yescharacteristic
460#459C2311yescharacteristic
461#459C2311yescharacteristic
462#452—21no—
463#452—21no—
464#452—21no—
465#452—21no—
466#452—21no—
467#452—21no—
468#452—21no—
469#452—21no—
470#452D411yescharacteristic
471#451—21no—
472#451—21no—
473#451—21no—
474#450—21no—
475#450—21no—
476#450—21no—
477#450—21no—
478#450—21no—
479#450—21no—
480#450D411yescharacteristic
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#449—21no—
490#449—21no—
491#449—21no—
492#449—21no—
493#449—21no—
494#449—21no—
495#449—21no—
496#449—21no—
497#449—21no—
498#449D411yescharacteristic
499#448—21no—
500#447—21no—
501#447—21no—
502#447—21no—
503#447—21no—
504#447—21no—
505#447—21no—
506#447—41no—
507#447D411yescharacteristic
508#446C2311yescharacteristic
509#446C2311yescharacteristic
510C8×Q8C2311yescharacteristic
511C8×Q8C2311yescharacteristic
512C8×Q8C2311yescharacteristic
513C8×Q8C2311yescharacteristic
514#442—21no—
515#442—21no—
516#440—21no—
517#440—21no—
518C4×Q16—21no—
519C4×Q16C2311yescharacteristic
520C4×SD16—21no—
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16C2311yescharacteristic
526C4×SD16C2311yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×SD16C2311yescharacteristic
529C4×D8—21no—
530C4×D8—21no—
531C4×D8—21no—
532C4×D8—21no—
533C4×D8C2311yescharacteristic
534C4×D8C2311yescharacteristic
535C4×D8C2311yescharacteristic
536#436—21no—
537#436—21no—
538#436—21no—
539#436—21no—
540#436—21no—
541#436C2311yescharacteristic
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#436C2311yescharacteristic
547#436C2311yescharacteristic
548#436C2311yescharacteristic
549#435—21no—
550#435—21no—
551C8×D4—21no—
552C8×D4C2311yescharacteristic
553C8×D4C2311yescharacteristic
554#433—21no—
555#433—21no—
556#431—21no—
557#431C2311yescharacteristic
558#431C2311yescharacteristic
559#431C2311yescharacteristic
560#431C2311yescharacteristic
561#424—21no—
562#424—21no—
563#423—21no—
564#423C2311yescharacteristic
565#423C2311yescharacteristic
566C2×C4⋊C8C2311yescharacteristic
567#419—21no—
568#418—21no—
569#418—21no—
570#417—21no—
571#417—21no—
572#417—21no—
573#417—21no—
574#417—21no—
575#417—21no—
576#417—21no—
577C2×#102—21no—
578C2×#102—21no—
579C2×#102—21no—
580#407—21no—
581#407—21no—
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#334C2311yescharacteristic
585#334C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#332C2311yescharacteristic
591#332C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#331C2311yescharacteristic
599#331C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625C82C2311yescharacteristic
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—21no—
651C22×D4—41no—
652C22×D4—41no—
653C22×D4C2×D411yescharacteristic
654C23×C4—21no—
655C23×C4—41no—
656#137—82no—
657#137—82no—
658#137—82no—
659AGL(1,ℤ/8)—82no—
660AGL(1,ℤ/8)—82no—
661AGL(1,ℤ/8)—82no—
662AGL(1,ℤ/8)—82no—
663AGL(1,ℤ/8)—82no—
664AGL(1,ℤ/8)—82no—
665AGL(1,ℤ/8)—82no—
666#135—82no—
667#135—82no—
668C2×Q16—21no—
669C2×Q16—21no—
670C2×Q16—21no—
671C2×Q16—21no—
672C2×Q16—21no—
673C2×Q16C2×D411yescharacteristic
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—21no—
690C2×SD16—21no—
691C2×SD16—21no—
692C2×SD16C2×D411yescharacteristic
693C2×SD16C2×D411yescharacteristic
694C2×SD16C2×D411yescharacteristic
695C2×SD16C2×D411yescharacteristic
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—21no—
708C2×D8—21no—
709C2×D8—21no—
710C2×D8—21no—
711C2×D8—21no—
712C2×D8—21no—
713C2×D8—41no—
714C2×D8—41no—
715C2×D8—82no—
716C2×D8C2×D411yescharacteristic
717C2×D8C2×D411yescharacteristic
718C2×D8C2×D411yescharacteristic
719C2×M16—21no—
720C2×M16—21no—
721C2×M16—21no—
722C2×M16—21no—
723C2×M16—21no—
724C2×M16—21no—
725C2×M16—21no—
726C2×M16—21no—
727C2×M16—21no—
728C2×M16—21no—
729C22×C8—21no—
730C22×C8—21no—
731C22×C8—21no—
732C4⋊Q8—21no—
733C4⋊Q8—21no—
734C4⋊Q8—21no—
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—21no—
746#127—21no—
747#127—41no—
748#127C2411yescharacteristic
749#127C2411yescharacteristic
750#127C2411yescharacteristic
751#127C2411yescharacteristic
752#126—21no—
753#126—21no—
754#126—41no—
755#126—41no—
756#126—41no—
757#125—21no—
758#125—21no—
759#125—41no—
760#125—41no—
761#125C2×D411yescharacteristic
762#125C2×D411yescharacteristic
763#124—21no—
764#124—21no—
765#124—21no—
766#124—21no—
767#124—21no—
768#124—41no—
769#124—41no—
770#124C2×D411yescharacteristic
771#124C2×D411yescharacteristic
772#123—21no—
773#123—21no—
774#123—41no—
775#123—41no—
776#123—41no—
777#123—41no—
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—
789C22⋊Q8—21no—
790C22⋊Q8—21no—
791C22⋊Q8—21no—
792C22⋊Q8—21no—
793C22⋊Q8—21no—
794C22⋊Q8—21no—
795C22⋊Q8—21no—
796C22⋊Q8—21no—
797C22⋊Q8—21no—
798C22⋊Q8—41no—
799C22⋊Q8—41no—
800C22⋊Q8—41no—
801C22⋊Q8—41no—
802C22⋊Q8—41no—
803C22⋊Q8—41no—
804C22⋊Q8C2×D411yescharacteristic
805C22⋊Q8C2×D411yescharacteristic
806#121—21no—
807#121—21no—
808#121—21no—
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—21no—
817#121—21no—
818#121—21no—
819#121—21no—
820#121—21no—
821#121—21no—
822#121—21no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
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#121C2×D411yescharacteristic
843#121C2×D411yescharacteristic
844#120—41no—
845#120—41no—
846#120—41no—
847#120—41no—
848#120—41no—
849#120—41no—
850#120—41no—
851#120—41no—
852#120—41no—
853#120—41no—
854C4×Q8—21no—
855C4×Q8—21no—
856C4×Q8—21no—
857C4×Q8—21no—
858C4×Q8—21no—
859C4×Q8C2×D411yescharacteristic
860C4×Q8C2411yescharacteristic
861C4×Q8C2411yescharacteristic
862C4×Q8C2411yescharacteristic
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—21no—
866C4×D4—21no—
867C4×D4—21no—
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—41no—
883C4×D4—41no—
884C4×D4—41no—
885C4×D4—41no—
886C4×D4—41no—
887C4×D4—41no—
888C4×D4—41no—
889C4×D4—41no—
890C4×D4—41no—
891C4×D4—41no—
892C4×D4C2×D411yescharacteristic
893C4×D4C2×D411yescharacteristic
894C4×D4C2×D411yescharacteristic
895C4×D4C2411yescharacteristic
896C4×D4C2411yescharacteristic
897C4×D4C2411yescharacteristic
898C4×D4C2411yescharacteristic
899C4×D4C2411yescharacteristic
900#117—21no—
901#117—21no—
902#117—21no—
903#117—21no—
904#117—21no—
905#117—41no—
906#117—41no—
907#117C2×D411yescharacteristic
908C2×C4⋊C4—21no—
909C2×C4⋊C4—21no—
910C2×C4⋊C4—21no—
911C2×C4⋊C4—21no—
912C2×C4⋊C4—41no—
913C2×C4⋊C4—41no—
914C2×C4⋊C4C2×D411yescharacteristic
915C2×C22⋊C4—21no—
916C2×C22⋊C4—41no—
917C2×C22⋊C4—41no—
918C2×C22⋊C4—41no—
919C2×C42—21no—
920C2×C42C2411yescharacteristic
921#107—21no—
922#107—21no—
923#107—21no—
924#107—21no—
925#107—41no—
926#107C2×D411yescharacteristic
927#107C2×D411yescharacteristic
928#107C2×D411yescharacteristic
929#107C2×D411yescharacteristic
930#106—21no—
931#106—21no—
932#106—21no—
933#106—21no—
934#106—41no—
935#106C2×D411yescharacteristic
936#106C2×D411yescharacteristic
937#106C2×D411yescharacteristic
938#106C2×D411yescharacteristic
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⋊C8—21no—
949C4⋊C8C2×D411yescharacteristic
950C4⋊C8C2×D411yescharacteristic
951C4⋊C8C2×D411yescharacteristic
952C4⋊C8C2×D411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955C4⋊C8C2411yescharacteristic
956C4⋊C8C2411yescharacteristic
957C4⋊C8C2411yescharacteristic
958C4⋊C8C2411yescharacteristic
959C4⋊C8C2411yescharacteristic
960C4⋊C8C2411yescharacteristic
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—21no—
975#103—21no—
976#103—21no—
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
982#103C2×D411yescharacteristic
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—41no—
1016#102—41no—
1017#102—41no—
1018#102—41no—
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023#102C2×D411yescharacteristic
1024#102C2×D411yescharacteristic
1025#102C2×D411yescharacteristic
1026#102C2×D411yescharacteristic
1027#102C2×D411yescharacteristic
1028#102C2×D411yescharacteristic
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8—21no—
1040C22⋊C8—21no—
1041C22⋊C8C2×D411yescharacteristic
1042C22⋊C8C2×D411yescharacteristic
1043C22⋊C8C2×D411yescharacteristic
1044C22⋊C8C2×D411yescharacteristic
1045#97—21no—
1046#97—21no—
1047C4×C8—21no—
1048C4×C8—21no—
1049C4×C8—21no—
1050C4×C8—21no—
1051C4×C8—21no—
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C4×C8C2411yescharacteristic
1056C4×C8C2411yescharacteristic
1057C4×C8C2411yescharacteristic
1058C24—21no—
1059C24—41no—
1060C24—41no—
1061C24—41no—
1062#41—22no—
1063#41—41no—
1064#41—42no—
1065#41—42no—
1066#41—42no—
1067#41—42no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075#41—81no—
1076#41—84no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—81no—
1081#41—81no—
1082#41—81no—
1083#41—81no—
1084#41—81no—
1085#41—81no—
1086#41—81no—
1087#41—84no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—41no—
1093C2×Q8—41no—
1094C2×Q8—42no—
1095C2×Q8—81no—
1096C2×Q8—81no—
1097C2×Q8—81no—
1098C2×Q8C22×D411yescharacteristic
1099C2×Q8C22×D411yescharacteristic
1100C2×Q8C22×D411yescharacteristic
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—21no—
1115C2×D4—21no—
1116C2×D4—21no—
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—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—84no—
1155C2×D4—161no—
1156C2×D4—162no—
1157C2×D4C22×D411yescharacteristic
1158C2×D4C22×D411yescharacteristic
1159C2×D4C22×D411yescharacteristic
1160C2×D4C22×D411yescharacteristic
1161C2×D4C22×D411yescharacteristic
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
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—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—81no—
1187C22×C4—81no—
1188C22×C4—84no—
1189C22×C4C22×D411yescharacteristic
1190C22×C4C22×D411yescharacteristic
1191C22×C4H(5,𝔽2)11yescharacteristic
1192Q16—22no—
1193Q16—42no—
1194Q16—81no—
1195Q16—81no—
1196Q16—81no—
1197Q16—81no—
1198SD16—22no—
1199SD16—41no—
1200SD16—41no—
1201SD16—41no—
1202SD16—42no—
1203SD16—42no—
1204SD16—42no—
1205SD16—42no—
1206SD16—81no—
1207SD16—81no—
1208SD16—81no—
1209SD16—81no—
1210SD16—81no—
1211SD16—81no—
1212SD16—81no—
1213SD16—81no—
1214SD16—81no—
1215SD16—81no—
1216SD16—81no—
1217SD16—81no—
1218SD16—81no—
1219SD16—81no—
1220D8—41no—
1221D8—41no—
1222D8—41no—
1223D8—42no—
1224D8—42no—
1225D8—42no—
1226D8—81no—
1227D8—81no—
1228D8—81no—
1229D8—81no—
1230D8—81no—
1231D8—81no—
1232D8—81no—
1233D8—81no—
1234D8—81no—
1235D8—81no—
1236D8—81no—
1237D8—81no—
1238D8—81no—
1239D8—81no—
1240D8—161no—
1241D8—161no—
1242M16—81no—
1243M16—81no—
1244M16—81no—
1245M16—81no—
1246M16—81no—
1247M16—81no—
1248M16—81no—
1249M16—81no—
1250M16—81no—
1251M16—81no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—81no—
1263C2×C8—81no—
1264C2×C8—81no—
1265C2×C8C22×D411yescharacteristic
1266C2×C8C22×D411yescharacteristic
1267C2×C8C22×D411yescharacteristic
1268C2×C8C22×D411yescharacteristic
1269C2×C8C22×D411yescharacteristic
1270C2×C8C22×D411yescharacteristic
1271C2×C8C22×D411yescharacteristic
1272C2×C8C22×D411yescharacteristic
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4C22×D411yescharacteristic
1305C4⋊C4C22×D411yescharacteristic
1306C4⋊C4C22×D411yescharacteristic
1307C4⋊C4C22×D411yescharacteristic
1308C4⋊C4C22×D411yescharacteristic
1309C4⋊C4C22×D411yescharacteristic
1310C4⋊C4C22×D411yescharacteristic
1311C4⋊C4C22×D411yescharacteristic
1312C22⋊C4—21no—
1313C22⋊C4—21no—
1314C22⋊C4—21no—
1315C22⋊C4—21no—
1316C22⋊C4—21no—
1317C22⋊C4—21no—
1318C22⋊C4—21no—
1319C22⋊C4—21no—
1320C22⋊C4—21no—
1321C22⋊C4—21no—
1322C22⋊C4—21no—
1323C22⋊C4—21no—
1324C22⋊C4—21no—
1325C22⋊C4—21no—
1326C22⋊C4—21no—
1327C22⋊C4—21no—
1328C22⋊C4—21no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C42—21no—
1353C42—21no—
1354C42—21no—
1355C42—21no—
1356C42—21no—
1357C42—41no—
1358C42—41no—
1359C42—41no—
1360C42C22×D411yescharacteristic
1361C42C22×D411yescharacteristic
1362C42H(5,𝔽2)11yescharacteristic
1363C42C2511yescharacteristic
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—81no—
1374C23—81no—
1375C23—81no—
1376C23—82no—
1377C23—82no—
1378C23—82no—
1379C23—161no—
1380C23—161no—
1381C23—161no—
1382C23—161no—
1383C23—161no—
1384C23—161no—
1385C23D4211yescharacteristic
1386Q8—21no—
1387Q8—21no—
1388Q8—21no—
1389Q8—21no—
1390Q8—21no—
1391Q8—41no—
1392Q8—41no—
1393Q8—41no—
1394Q8—41no—
1395Q8—41no—
1396Q8—41no—
1397Q8—41no—
1398Q8—41no—
1399Q8—82no—
1400Q8—161no—
1401Q8#57612yes—
1402D4—21no—
1403D4—21no—
1404D4—21no—
1405D4—21no—
1406D4—21no—
1407D4—21no—
1408D4—21no—
1409D4—21no—
1410D4—21no—
1411D4—21no—
1412D4—42no—
1413D4—42no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—41no—
1418D4—41no—
1419D4—41no—
1420D4—41no—
1421D4—41no—
1422D4—41no—
1423D4—41no—
1424D4—41no—
1425D4—41no—
1426D4—41no—
1427D4—41no—
1428D4—41no—
1429D4—41no—
1430D4—81no—
1431D4—82no—
1432D4—82no—
1433D4—81no—
1434D4—81no—
1435D4—81no—
1436D4—81no—
1437D4—81no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—161no—
1444D4—161no—
1445D4—161no—
1446D4—161no—
1447D4—161no—
1448D4—161no—
1449D4—161no—
1450D4—161no—
1451D4—161no—
1452D4—161no—
1453D4—161no—
1454D4—161no—
1455D4—161no—
1456D4—161no—
1457D4—161no—
1458D4—161no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—41no—
1475C2×C4—42no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—81no—
1491C2×C4—81no—
1492C2×C4—81no—
1493C2×C4—82no—
1494C2×C4—82no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—81no—
1498C2×C4—82no—
1499C2×C4—82no—
1500C2×C4—161no—
1501C2×C4—161no—
1502C2×C4—161no—
1503C2×C4—161no—
1504C2×C4—161no—
1505C2×C4—161no—
1506C2×C4—161no—
1507C2×C4—161no—
1508C2×C4D4211yescharacteristic
1509C2×C4D4211yescharacteristic
1510C2×C4D4211yescharacteristic
1511C2×C4C23×D411yescharacteristic
1512C2×C4C23×D411yescharacteristic
1513C2×C4C2×H(5,𝔽2)11yescharacteristic
1514C8—21no—
1515C8—21no—
1516C8—21no—
1517C8—21no—
1518C8—21no—
1519C8—21no—
1520C8—21no—
1521C8—21no—
1522C8—41no—
1523C8—41no—
1524C8—41no—
1525C8—41no—
1526C8—41no—
1527C8—41no—
1528C8—41no—
1529C8—41no—
1530C8—41no—
1531C8—41no—
1532C22—21no—
1533C22—21no—
1534C22—21no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—162no—
1563C22—164no—
1564C22—322no—
1565C22—322no—
1566C22C2×D4211yescharacteristic
1567C4—21no—
1568C4—21no—
1569C4—22no—
1570C4—21no—
1571C4—21no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—81no—
1583C4—81no—
1584C4—81no—
1585C4—81no—
1586C4C2×#57611yescharacteristic
1587C4#358511yescharacteristic
1588C4#358511yescharacteristic
1589C4#358511yescharacteristic
1590C2—41no—
1591C2—81no—
1592C2—81no—
1593C2—81no—
1594C2—81no—
1595C2—81no—
1596C2—161no—
1597C2—161no—
1598C2—161no—
1599C2—161no—
1600C2#6106311yescharacteristic
1601C2#6107211yescharacteristic
1602C2#6110711yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C2×C42 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #62053C2semidirect
2. #62037C2semidirect
3. #62003C2semidirect
4. #61589C2semidirect
5. #20303C2semidirect
6. #20298C2semidirect
7. #20266C2semidirect
8. #20198C2semidirect
9. #20171C2semidirect
10. #20170C2semidirect
11. #20170C2semidirect
12. #20162C2semidirect
13. #20090C2semidirect
14. #20066C2semidirect
15. #20063C2semidirect
16. #20023C2semidirect
17. #19922C2semidirect
18. #19886C2semidirect
19. #19834C2semidirect
20. #19762C2semidirect
21. #19735C2semidirect
22. #19576C2semidirect
23. #19541C2semidirect
24. #19495C2semidirect
25. #19422C2semidirect
26. #18930C2semidirect
27. #18920C2semidirect
28. #18822C2semidirect
29. #18786C2semidirect
30. #18031C2semidirect
31. #17946C2semidirect
32. #3543C22semidirect
35. D4×#41C22semidirect
36. #3399C22semidirect
39. #3392C22semidirect
40. #3391C22semidirect
41. #3391C22semidirect
42. #3373C22semidirect
43. #3368C22semidirect
44. #3365C22semidirect
45. #3359C22semidirect
46. #3358C22semidirect
47. #3358C22semidirect
50. #3332C22semidirect
51. #3332C22semidirect
52. #3332C22semidirect
54. #3330C22semidirect
55. #3330C22semidirect
56. #3328C22semidirect
58. #3324C22semidirect
65. #3294C22semidirect
66. #3287C22semidirect
67. #3284C22semidirect
69. #3278C22semidirect
71. #3276C22semidirect
72. #3276C22semidirect
76. #3274C22semidirect
77. #3274C22semidirect
79. #3272C22semidirect
80. #3272C22semidirect
81. #3272C22semidirect
88. #3251C22semidirect
89. #3248C22semidirect
90. #3228C22semidirect
94. #3210C22semidirect
95. #3208C22semidirect
97. #3207C22semidirect
99. #3205C22semidirect
104. #3107C22semidirect
112. #3036C22semidirect
116. #2994C22semidirect
117. #2993C22semidirect
118. #2991C22semidirect
119. #2975C22semidirect
120. #1721C22semidirect
121. #1721C22semidirect
122. #1720C22semidirect
123. #1719C22semidirect
124. #1717C22semidirect
125. #1715C22semidirect
126. #1709C22semidirect
127. #1706C22semidirect
128. #1702C22semidirect
129. #1702C22semidirect
131. #1701C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1701C22semidirect
135. #1701C22semidirect
136. #1701C22semidirect
137. #1699C22semidirect
138. #1690C22semidirect
139. #1689C22semidirect
141. #1687C22semidirect
142. #1687C22semidirect
143. #1687C22semidirect
144. #1687C22semidirect
145. #1686C22semidirect
146. #1685C22semidirect
147. #1685C22semidirect
148. #1682C22semidirect
149. #1682C22semidirect
150. #1681C22semidirect
151. #1680C22semidirect
152. #1680C22semidirect
153. #1679C22semidirect
154. #1668C22semidirect
155. #1666C22semidirect
156. #1666C22semidirect
157. #1666C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1654C22semidirect
162. #1653C22semidirect
163. #1651C22semidirect
164. #1650C22semidirect
165. #1648C22semidirect
166. #1647C22semidirect
167. #1647C22semidirect
168. #1642C22semidirect
169. #1642C22semidirect
170. #1642C22semidirect
171. #1641C22semidirect
172. #1641C22semidirect
173. #1641C22semidirect
174. #1640C22semidirect
175. #1639C22semidirect
176. #1628C22semidirect
178. #1627C22semidirect
179. #1627C22semidirect
181. #1625C22semidirect
182. #1625C22semidirect
183. #1625C22semidirect
185. #1621C22semidirect
186. #1621C22semidirect
187. #1621C22semidirect
188. #1620C22semidirect
190. #1619C22semidirect
191. #1619C22semidirect
192. #1594C22semidirect
193. #1594C22semidirect
194. #1592C22semidirect
195. #1590C22semidirect
196. #1590C22semidirect
197. #1589C22semidirect
198. #1588C22semidirect
199. #1587C22semidirect
200. #1586C22semidirect
201. #1586C22semidirect
202. #1583C22semidirect
203. #1583C22semidirect
204. #1583C22semidirect
205. #1581C22semidirect
206. #1579C22semidirect
207. C8×SD16C22semidirect
208. #1574C22semidirect
209. #1570C22semidirect
210. #1561C22semidirect
211. #1547C22semidirect
212. #1545C22semidirect
213. #1540C22semidirect
214. #1495C22semidirect
215. #1486C22semidirect
216. #1482C22semidirect
217. #1477C22semidirect
218. #1454C22semidirect

Maximal subgroups

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

subgroupindex
#620532
#620372
#620032
#615892
#203032
#202982
#202662
#201982
#201712
#201702
#201622
#200902
#200662
#200632
#200232
#199222
#198862
#198342
#197622
#197352
#195762
#195412
#194952
#194222
#189302
#189202
#188222
#187862
#180312
#179462