Finite Group Databasebeta

← #6369267

Subgroups — #6369267

Order 512.

1757 conjugacy classes of subgroups.

The subgroup lattice has 1577 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62151C211yesmaximal, characteristic, complemented
2#61901C211yesmaximal, characteristic, complemented
3#61544C211yesmaximal, characteristic, complemented
4#61070C211yesmaximal, characteristic, complemented
5#20288C211yesmaximal, characteristic, complemented
6#20259C211yesmaximal, characteristic, complemented
7#20224C211yesmaximal, characteristic, complemented
8#20169C211yesmaximal, characteristic, complemented
9#20166C211yesmaximal, characteristic, complemented
10#20088C211yesmaximal, characteristic, complemented
11#20087C211yesmaximal, characteristic, complemented
12#20066C211yesmaximal, characteristic, complemented
13#20064C211yesmaximal, characteristic, complemented
14#19973C211yesmaximal, characteristic, complemented
15#19945C211yesmaximal, characteristic, complemented
16#19897C211yesmaximal, characteristic, complemented
17#19876C211yesmaximal, characteristic, complemented
18#19843C211yesmaximal, characteristic, complemented
19#19770C211yesmaximal, characteristic, complemented
20#19761C211yesmaximal, characteristic, complemented
21#19713C211yesmaximal, characteristic, complemented
22#19495C211yesmaximal, characteristic, complemented
23#19479C211yesmaximal, characteristic, complemented
24#19376C211yesmaximal, characteristic, complemented
25#19307C211yesmaximal, characteristic, complemented
26#18852C211yesmaximal, characteristic, complemented
27#18824C211yesmaximal, characteristic, complemented
28#18806C211yesmaximal, characteristic, complemented
29#18771C211yesmaximal, characteristic, complemented
30#18053C211yesmaximal, characteristic, complemented
31#18006C211yesmaximal, characteristic, complemented
32C2×#575—21no—
33#3523C2211yescharacteristic, complemented
34#3518C2211yescharacteristic
35D4×#41C2211yescharacteristic
36C2×#550C2211yescharacteristic
37#3398C2211yescharacteristic, complemented
38#3397—21no—
39#3397—21no—
40#3397C2211yescharacteristic
41#3397C2211yescharacteristic, complemented
42#3392C2211yescharacteristic
43#3392C2211yescharacteristic, complemented
44#3387C2211yescharacteristic, complemented
45Q8×SD16C2211yescharacteristic, complemented
46Q8×D8C2211yescharacteristic, complemented
47#3368—21no—
48#3368—21no—
49#3368C2211yescharacteristic
50#3368C2211yescharacteristic, complemented
51#3364C2211yescharacteristic, complemented
52#3363C2211yescharacteristic, complemented
53#3362C2211yescharacteristic, complemented
54#3358C2211yescharacteristic
55#3358C2211yescharacteristic, complemented
56#3358C2211yescharacteristic, complemented
57#3354—21no—
58#3354C2211yescharacteristic, complemented
59#3353—21no—
60#3353C2211yescharacteristic, complemented
61#3349—21no—
62#3340C2211yescharacteristic, complemented
63#3329C2211yescharacteristic, complemented
64#3328—21no—
65#3328C2211yescharacteristic, complemented
66#3327—21no—
67#3325—21no—
68#3325C2211yescharacteristic, complemented
69#3324—21no—
70#3324C2211yescharacteristic, complemented
71#3287C2211yescharacteristic
72#3287C2211yescharacteristic
73D4×Q16C2211yescharacteristic, complemented
74#3284C2211yescharacteristic
75#3284C2211yescharacteristic
76#3278C2211yescharacteristic
77#3278C2211yescharacteristic
78#3274C2211yescharacteristic
79#3274C2211yescharacteristic
80#3271—21no—
81#3271—21no—
82#3270—21no—
83#3268—21no—
84#3268—21no—
85#3251—21no—
86#3251C2211yescharacteristic
87#3228—21no—
88#3228C2211yescharacteristic
89#3228C2211yescharacteristic
90#3217—21no—
91#3217C2211yescharacteristic, complemented
92#3208—21no—
93#3208C2211yescharacteristic, complemented
94#3208C2211yescharacteristic, complemented
95#3185C2211yescharacteristic, complemented
96#3178—21no—
97#3151C2211yescharacteristic
98#3127—21no—
99#3121—21no—
100#3110—21no—
101#3110C2211yescharacteristic
102#3107C2211yescharacteristic
103#3105—21no—
104#3105—21no—
105#3105C2211yescharacteristic
106#3104C2211yescharacteristic, complemented
107#3077—21no—
108#3077C2211yescharacteristic
109#3055—21no—
110#3038C2211yescharacteristic
111#3037C2211yescharacteristic
112#3006—21no—
113#3005—21no—
114#2991C2211yescharacteristic
115#2984C2211yescharacteristic, complemented
116#2969C2211yescharacteristic, complemented
117#2950—21no—
118C4×#137C2211yescharacteristic
119D4×M16C2211yescharacteristic
120#1722C2211yescharacteristic, complemented
121#1717C2211yescharacteristic, complemented
122#1717C2211yescharacteristic, complemented
123#1715C2211yescharacteristic, complemented
124#1714C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1709C2211yescharacteristic, complemented
127#1705C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1701C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1699C2211yescharacteristic, complemented
133#1698C2211yescharacteristic, complemented
134#1694C2211yescharacteristic, complemented
135#1692C2211yescharacteristic, complemented
136#1691C2211yescharacteristic, complemented
137#1689C2211yescharacteristic, complemented
138#1688C2211yescharacteristic, complemented
139#1687C2211yescharacteristic, complemented
140#1686C2211yescharacteristic, complemented
141#1685C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1682C2211yescharacteristic, complemented
146#1682C2211yescharacteristic, complemented
147#1682C2211yescharacteristic, complemented
148#1679C2211yescharacteristic, complemented
149#1678C2211yescharacteristic, complemented
150#1674C2211yescharacteristic, complemented
151#1672C2211yescharacteristic, complemented
152#1671C2211yescharacteristic, complemented
153#1669C2211yescharacteristic, complemented
154#1668C2211yescharacteristic, complemented
155#1667C2211yescharacteristic, complemented
156#1666C2211yescharacteristic, complemented
157#1666C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1653C2211yescharacteristic, complemented
162#1652C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1649C2211yescharacteristic, complemented
165#1649C2211yescharacteristic, complemented
166#1648C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1642C2211yescharacteristic, complemented
169#1641C2211yescharacteristic
170#1641C2211yescharacteristic
171#1641C2211yescharacteristic, complemented
172#1641C2211yescharacteristic, complemented
173#1641C2211yescharacteristic, complemented
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1631C2211yescharacteristic
177#1631C2211yescharacteristic
178#1631C2211yescharacteristic, complemented
179#1631C2211yescharacteristic, complemented
180#1628C2211yescharacteristic, complemented
181#1628C2211yescharacteristic, complemented
182#1628C2211yescharacteristic, complemented
183#1627C2211yescharacteristic, complemented
184#1627C2211yescharacteristic, complemented
185#1627C2211yescharacteristic, complemented
186#1626C2211yescharacteristic, complemented
187#1626C2211yescharacteristic, complemented
188#1624C2211yescharacteristic, complemented
189#1624C2211yescharacteristic, complemented
190#1623C2211yescharacteristic, complemented
191#1623C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1588C2211yescharacteristic, complemented
198#1587C2211yescharacteristic, complemented
199#1586C2211yescharacteristic, complemented
200#1584C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1582C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1579C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×Q16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1561C2211yescharacteristic, complemented
211#1559C2211yescharacteristic, complemented
212#1553C2211yescharacteristic
213#1545C2211yescharacteristic, complemented
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic
216#1487C2211yescharacteristic, complemented
217#1478C2211yescharacteristic
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C22×#41—21no—
221#575—48no—
222C2×#137—21no—
223C2×#137—21no—
224C2×#137—21no—
225C2×#137D411yescharacteristic
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×AGL(1,ℤ/8)—21no—
231C2×#135—21no—
232C2×#135—21no—
233C2×#135—21no—
234C2×#135—21no—
235C22×Q16—21no—
236C22×M16—21no—
237Q82C2311yescharacteristic
238#557—21no—
239#557C2311yescharacteristic
240#557C2311yescharacteristic
241#556—21no—
242#556—21no—
243#556—21no—
244#556—41no—
245#556C2311yescharacteristic
246#556C2311yescharacteristic
247#555—21no—
248#555C2311yescharacteristic
249#552—21no—
250#552—41no—
251#550—21no—
252#550—21no—
253#550—21no—
254#550—21no—
255#550—41no—
256#550C2311yescharacteristic
257#550C2311yescharacteristic
258#550C2311yescharacteristic
259#550C2311yescharacteristic
260#550C2311yescharacteristic
261D4×Q8—21no—
262D4×Q8C2311yescharacteristic
263D4×Q8C2311yescharacteristic
264D4×Q8C2311yescharacteristic
265#548—21no—
266#548—21no—
267#547—21no—
268#547C2311yescharacteristic
269#546—21no—
270#546—41no—
271D42—21no—
272D42C2311yescharacteristic
273#542—21no—
274#542—41no—
275#541—21no—
276#541—41no—
277#533—21no—
278#533—21no—
279#533C2311yescharacteristic
280#533C2311yescharacteristic
281#532—21no—
282#532C2311yescharacteristic
283C2×#127—21no—
284C2×#127C2311yescharacteristic
285#529—21no—
286#529—21no—
287#529C2311yescharacteristic
288#525—21no—
289#525—41no—
290C2×#121—21no—
291C2×#121—41no—
292#519—21no—
293#519—21no—
294C4×#41C2311yescharacteristic
295C2×C4×Q8C2311yescharacteristic
296C2×C4×D4—21no—
297C2×C4×D4—21no—
298C2×C4×D4C2311yescharacteristic
299#501—21no—
300#500—21no—
301#500C2311yescharacteristic
302#500C2311yescharacteristic
303#498—21no—
304#498C2311yescharacteristic
305#498C2311yescharacteristic
306#498C2311yescharacteristic
307#497—21no—
308#496—21no—
309#496—21no—
310#496—21no—
311#496—21no—
312#496—21no—
313#494C2311yescharacteristic
314#493C2311yescharacteristic
315#493C2311yescharacteristic
316#492—21no—
317#492—21no—
318#492C2311yescharacteristic
319#492C2311yescharacteristic
320#492C2311yescharacteristic
321#492C2311yescharacteristic
322#492C2311yescharacteristic
323#492C2311yescharacteristic
324#490—21no—
325#490—21no—
326#490—21no—
327#488—21no—
328#487—21no—
329#487C2311yescharacteristic
330#487C2311yescharacteristic
331#486—21no—
332#486—21no—
333#486—21no—
334#486—21no—
335#486C2311yescharacteristic
336#486C2311yescharacteristic
337#486C2311yescharacteristic
338#486C2311yescharacteristic
339#486C2311yescharacteristic
340#486C2311yescharacteristic
341#486C2311yescharacteristic
342#486C2311yescharacteristic
343#485—21no—
344#485—21no—
345#485—21no—
346#485—21no—
347#484—21no—
348#484—21no—
349#484—21no—
350#484D411yescharacteristic
351#482—21no—
352#482—21no—
353#482—21no—
354#482—21no—
355#482—21no—
356#482—21no—
357#482—21no—
358#482—41no—
359#481—21no—
360#481D411yescharacteristic
361#479—21no—
362#479—21no—
363#478—21no—
364#478—21no—
365#478—21no—
366#478—21no—
367#478—21no—
368#478—21no—
369#478—21no—
370#478—41no—
371#478D411yescharacteristic
372#478D411yescharacteristic
373#477—21no—
374#477C2311yescharacteristic
375#477C2311yescharacteristic
376#476—21no—
377#476—21no—
378#476C2311yescharacteristic
379#476C2311yescharacteristic
380#475—21no—
381#475—21no—
382#475C2311yescharacteristic
383#475C2311yescharacteristic
384#474—21no—
385#474—21no—
386#474—21no—
387#474—21no—
388#474—21no—
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#474C2311yescharacteristic
393#474C2311yescharacteristic
394#474C2311yescharacteristic
395#470—21no—
396#470—21no—
397#470—21no—
398#469—21no—
399#469—21no—
400#469—21no—
401#469—21no—
402#469—21no—
403#468—21no—
404#468—21no—
405#468—21no—
406#468—21no—
407#468—21no—
408#468—21no—
409#467—21no—
410#466—21no—
411#466—21no—
412#465—21no—
413#465—21no—
414#465—21no—
415#464—21no—
416#464—21no—
417#464—21no—
418#464—21no—
419#463—21no—
420#463—21no—
421#463—21no—
422#463D411yescharacteristic
423#463D411yescharacteristic
424#462—21no—
425#462—21no—
426#462C2311yescharacteristic
427#462C2311yescharacteristic
428#462C2311yescharacteristic
429#462C2311yescharacteristic
430#462C2311yescharacteristic
431#461—21no—
432#461—21no—
433#461C2311yescharacteristic
434#461C2311yescharacteristic
435#461C2311yescharacteristic
436#460—21no—
437#460—21no—
438#460—21no—
439#460—21no—
440#460—21no—
441#460—21no—
442#460—21no—
443#460—21no—
444#460—21no—
445#460—21no—
446#460—41no—
447#460C2311yescharacteristic
448#460C2311yescharacteristic
449#460C2311yescharacteristic
450#460C2311yescharacteristic
451#460C2311yescharacteristic
452#460C2311yescharacteristic
453#460C2311yescharacteristic
454#459—21no—
455#459—21no—
456#459—21no—
457#459—21no—
458#459C2311yescharacteristic
459#459C2311yescharacteristic
460#459C2311yescharacteristic
461#459C2311yescharacteristic
462#459C2311yescharacteristic
463#452—21no—
464#452—21no—
465#452—21no—
466#452—21no—
467#452—21no—
468#451—21no—
469#451—21no—
470#451—21no—
471#451—21no—
472#450—21no—
473#450—21no—
474#450—21no—
475#450—21no—
476#450—21no—
477#450—41no—
478#450D411yescharacteristic
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#448—21no—
488#448—21no—
489#448—21no—
490#447—21no—
491#447—21no—
492#447—21no—
493#447—21no—
494#447D411yescharacteristic
495#446—21no—
496#446—21no—
497#446C2311yescharacteristic
498#446C2311yescharacteristic
499#446C2311yescharacteristic
500C8×Q8C2311yescharacteristic
501C8×Q8C2311yescharacteristic
502C8×Q8C2311yescharacteristic
503C8×Q8C2311yescharacteristic
504C8×Q8C2311yescharacteristic
505#441—21no—
506#441—21no—
507#441—21no—
508#441—21no—
509#441D411yescharacteristic
510#441D411yescharacteristic
511#440—21no—
512#440—21no—
513#440—21no—
514#440—21no—
515#440—21no—
516#440—21no—
517#440D411yescharacteristic
518#440D411yescharacteristic
519C4×Q16—21no—
520C4×Q16—21no—
521C4×Q16—21no—
522C4×Q16—21no—
523C4×Q16—21no—
524C4×Q16C2311yescharacteristic
525C4×Q16C2311yescharacteristic
526C4×SD16—21no—
527C4×SD16—21no—
528C4×SD16—21no—
529C4×SD16—21no—
530C4×SD16—21no—
531C4×SD16C2311yescharacteristic
532C4×SD16C2311yescharacteristic
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×D8—21no—
536C4×D8—21no—
537C4×D8—21no—
538C4×D8—21no—
539C4×D8C2311yescharacteristic
540C4×D8C2311yescharacteristic
541#436—21no—
542#436—21no—
543#436—21no—
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#436C2311yescharacteristic
547#436C2311yescharacteristic
548#436C2311yescharacteristic
549#435—21no—
550#435—21no—
551#435—21no—
552C8×D4C2311yescharacteristic
553C8×D4C2311yescharacteristic
554C8×D4C2311yescharacteristic
555#433—21no—
556#432—21no—
557#432C2311yescharacteristic
558#431—21no—
559#431—21no—
560#431C2311yescharacteristic
561#431C2311yescharacteristic
562#431C2311yescharacteristic
563#428—21no—
564#428—21no—
565#428—21no—
566#428D411yescharacteristic
567#427—21no—
568#423—21no—
569#423C2311yescharacteristic
570#423C2311yescharacteristic
571#419—21no—
572#419—21no—
573#419D411yescharacteristic
574#418—21no—
575#418—21no—
576#418—21no—
577#418—21no—
578#417—21no—
579#417D411yescharacteristic
580#407—21no—
581#405—21no—
582C4×M16C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#335C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#334C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606#331C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612Q8⋊C8C2311yescharacteristic
613Q8⋊C8C2311yescharacteristic
614Q8⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622D4⋊C8C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625#322C2311yescharacteristic
626C82C2311yescharacteristic
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—41no—
635C2×#41—41no—
636C2×#41—41no—
637C2×#41—41no—
638C2×#41—44no—
639C2×#41—44no—
640C2×#41—82no—
641C2×#41—82no—
642C2×#41C2×D411yescharacteristic
643C22×Q8—21no—
644C22×Q8—21no—
645C22×Q8—21no—
646C22×Q8C2×D411yescharacteristic
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—41no—
653C22×D4—41no—
654C22×D4—41no—
655C22×D4C2×D411yescharacteristic
656C23×C4—21no—
657C23×C4—41no—
658C23×C4—41no—
659#137—24no—
660#137—44no—
661#137—44no—
662#137—44no—
663AGL(1,ℤ/8)—44no—
664AGL(1,ℤ/8)—44no—
665AGL(1,ℤ/8)—44no—
666AGL(1,ℤ/8)—44no—
667AGL(1,ℤ/8)—82no—
668#135—44no—
669#135—44no—
670#135—44no—
671#135—44no—
672C2×Q16—21no—
673C2×Q16—21no—
674C2×Q16—21no—
675C2×Q16—21no—
676C2×Q16—21no—
677C2×Q16—21no—
678C2×Q16—21no—
679C2×Q16—44no—
680C2×Q16C2×D411yescharacteristic
681C2×Q16C2×D411yescharacteristic
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×SD16—21no—
693C2×SD16—21no—
694C2×SD16—21no—
695C2×SD16—21no—
696C2×SD16—21no—
697C2×SD16—21no—
698C2×SD16—21no—
699C2×SD16—21no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16C2×D411yescharacteristic
703C2×SD16C2×D411yescharacteristic
704C2×SD16C2×D411yescharacteristic
705C2×SD16C2×D411yescharacteristic
706C2×D8—21no—
707C2×D8—21no—
708C2×D8—21no—
709C2×D8—21no—
710C2×D8—21no—
711C2×D8—21no—
712C2×D8—21no—
713C2×D8—21no—
714C2×D8—21no—
715C2×D8C2×D411yescharacteristic
716C2×D8C2×D411yescharacteristic
717C2×M16—21no—
718C2×M16—21no—
719C2×M16—21no—
720C2×M16—21no—
721C2×M16—21no—
722C2×M16—21no—
723C2×M16—21no—
724C2×M16—44no—
725C2×M16C2×D411yescharacteristic
726C2×M16C2×D411yescharacteristic
727C22×C8—21no—
728C22×C8—21no—
729C22×C8—21no—
730C4⋊Q8—21no—
731C4⋊Q8—21no—
732C4⋊Q8—21no—
733C4⋊Q8—21no—
734C4⋊Q8—21no—
735C4⋊Q8—21no—
736C4⋊Q8—21no—
737C4⋊Q8—41no—
738C4⋊Q8—41no—
739C4⋊Q8C2411yescharacteristic
740C4⋊Q8C2411yescharacteristic
741C4⋊Q8C2411yescharacteristic
742C4⋊Q8C2411yescharacteristic
743C4⋊Q8C2411yescharacteristic
744#127—21no—
745#127—21no—
746#127—21no—
747#127—21no—
748#127—21no—
749#127—21no—
750#127—21no—
751#127—21no—
752#127—41no—
753#127—41no—
754#127C2411yescharacteristic
755#127C2411yescharacteristic
756#127C2411yescharacteristic
757#126—21no—
758#126—41no—
759#126—41no—
760#126—41no—
761#126—41no—
762#126—41no—
763#126—41no—
764#126—41no—
765#126—41no—
766#125—21no—
767#125—21no—
768#125—21no—
769#125—21no—
770#125—41no—
771#125—41no—
772#125—41no—
773#125—41no—
774#125—41no—
775#125C2×D411yescharacteristic
776#124—21no—
777#124—21no—
778#124—21no—
779#124—41no—
780#124—41no—
781#124—41no—
782#124—41no—
783#124—41no—
784#124C2×D411yescharacteristic
785#123—21no—
786#123—41no—
787#123—41no—
788#123—41no—
789#123—41no—
790#123—41no—
791C22⋊Q8—21no—
792C22⋊Q8—21no—
793C22⋊Q8—21no—
794C22⋊Q8—21no—
795C22⋊Q8—21no—
796C22⋊Q8—21no—
797C22⋊Q8—21no—
798C22⋊Q8—21no—
799C22⋊Q8—21no—
800C22⋊Q8—21no—
801C22⋊Q8—41no—
802C22⋊Q8—41no—
803C22⋊Q8—41no—
804C22⋊Q8—41no—
805C22⋊Q8—41no—
806C22⋊Q8—41no—
807C22⋊Q8—41no—
808C22⋊Q8—41no—
809C22⋊Q8C2×D411yescharacteristic
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—41no—
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#121C2×D411yescharacteristic
837#120—41no—
838#120—41no—
839#120—41no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8—21no—
843C4×Q8—21no—
844C4×Q8—21no—
845C4×Q8—21no—
846C4×Q8—21no—
847C4×Q8—21no—
848C4×Q8—21no—
849C4×Q8—21no—
850C4×Q8—21no—
851C4×Q8—21no—
852C4×Q8—21no—
853C4×Q8—21no—
854C4×Q8—41no—
855C4×Q8—41no—
856C4×Q8—41no—
857C4×Q8—41no—
858C4×Q8—41no—
859C4×Q8C2×D411yescharacteristic
860C4×Q8C2×D411yescharacteristic
861C4×Q8C2×D411yescharacteristic
862C4×Q8C2411yescharacteristic
863C4×Q8C2411yescharacteristic
864C4×Q8C2411yescharacteristic
865C4×Q8C2411yescharacteristic
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—41no—
882C4×D4—41no—
883C4×D4—41no—
884C4×D4—41no—
885C4×D4—41no—
886C4×D4—41no—
887C4×D4—41no—
888C4×D4C2×D411yescharacteristic
889C4×D4C2×D411yescharacteristic
890C4×D4C2×D411yescharacteristic
891C4×D4C2411yescharacteristic
892C4×D4C2411yescharacteristic
893C4×D4C2411yescharacteristic
894C4×D4C2411yescharacteristic
895#117—21no—
896#117—21no—
897#117—21no—
898#117—21no—
899#117—21no—
900#117—21no—
901#117—21no—
902#117—21no—
903#117—41no—
904#117—41no—
905#117—41no—
906#117—41no—
907#117—41no—
908#117C2×D411yescharacteristic
909C2×C4⋊C4—21no—
910C2×C4⋊C4—21no—
911C2×C4⋊C4C2×D411yescharacteristic
912C2×C4⋊C4C2×D411yescharacteristic
913C2×C22⋊C4—21no—
914C2×C22⋊C4—41no—
915C2×C22⋊C4—41no—
916C2×C42—21no—
917C2×C42—21no—
918C2×C42C2411yescharacteristic
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#107—21no—
928#107—21no—
929#107—41no—
930#107C2×D411yescharacteristic
931#107C2×D411yescharacteristic
932#107C2×D411yescharacteristic
933#107C2×D411yescharacteristic
934#106—21no—
935#106—21no—
936#106—21no—
937#106—21no—
938#106—21no—
939#106—21no—
940#106—21no—
941#106—21no—
942#106—41no—
943#106C2×D411yescharacteristic
944#106C2×D411yescharacteristic
945#106C2×D411yescharacteristic
946#106C2×D411yescharacteristic
947C4⋊C8—21no—
948C4⋊C8—21no—
949C4⋊C8—21no—
950C4⋊C8—21no—
951C4⋊C8—21no—
952C4⋊C8—21no—
953C4⋊C8—21no—
954C4⋊C8—21no—
955C4⋊C8—21no—
956C4⋊C8—21no—
957C4⋊C8—21no—
958C4⋊C8C2×D411yescharacteristic
959C4⋊C8C2×D411yescharacteristic
960C4⋊C8C2411yescharacteristic
961C4⋊C8C2411yescharacteristic
962C4⋊C8C2411yescharacteristic
963C4⋊C8C2411yescharacteristic
964C4⋊C8C2411yescharacteristic
965C4⋊C8C2411yescharacteristic
966C4⋊C8C2411yescharacteristic
967C4⋊C8C2411yescharacteristic
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—21no—
980#103—21no—
981#103—21no—
982#103—21no—
983#103—21no—
984#103C2×D411yescharacteristic
985#103C2×D411yescharacteristic
986#103C2×D411yescharacteristic
987#103C2×D411yescharacteristic
988#103C2×D411yescharacteristic
989#103C2×D411yescharacteristic
990#103C2×D411yescharacteristic
991#103C2×D411yescharacteristic
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—21no—
1012#102—21no—
1013#102—21no—
1014#102—21no—
1015#102—21no—
1016#102—21no—
1017#102—21no—
1018#102—21no—
1019#102—21no—
1020#102—41no—
1021#102—41no—
1022#102—41no—
1023#102—41no—
1024#102C2×D411yescharacteristic
1025#102C2×D411yescharacteristic
1026#102C2×D411yescharacteristic
1027#102C2×D411yescharacteristic
1028#102C2×D411yescharacteristic
1029#102C2×D411yescharacteristic
1030#102C2×D411yescharacteristic
1031#102C2×D411yescharacteristic
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8—21no—
1040C22⋊C8—21no—
1041C22⋊C8—21no—
1042C22⋊C8—21no—
1043C22⋊C8C2×D411yescharacteristic
1044C22⋊C8C2×D411yescharacteristic
1045#97—21no—
1046#97—21no—
1047#97—21no—
1048#97—21no—
1049#97C2×D411yescharacteristic
1050#97C2×D411yescharacteristic
1051C4×C8—21no—
1052C4×C8—21no—
1053C4×C8—21no—
1054C4×C8—21no—
1055C4×C8—21no—
1056C4×C8—21no—
1057C4×C8C2411yescharacteristic
1058C4×C8C2411yescharacteristic
1059C4×C8C2411yescharacteristic
1060C4×C8C2411yescharacteristic
1061C4×C8C2411yescharacteristic
1062C4×C8C2411yescharacteristic
1063C24—21no—
1064C24—41no—
1065C24—41no—
1066#41—22no—
1067#41—41no—
1068#41—42no—
1069#41—42no—
1070#41—42no—
1071#41—42no—
1072#41—42no—
1073#41—42no—
1074#41—42no—
1075#41—42no—
1076#41—84no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—81no—
1081#41—81no—
1082#41—81no—
1083#41—84no—
1084#41—84no—
1085#41—84no—
1086C2×Q8—21no—
1087C2×Q8—22no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—41no—
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×Q8—41no—
1097C2×Q8—41no—
1098C2×Q8—42no—
1099C2×Q8—42no—
1100C2×Q8—42no—
1101C2×Q8—81no—
1102C2×Q8—81no—
1103C2×Q8—81no—
1104C2×Q8C22×D411yescharacteristic
1105C2×Q8C22×D411yescharacteristic
1106C2×Q8C22×D411yescharacteristic
1107C2×Q8C22×D411yescharacteristic
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—21no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—42no—
1123C2×D4—42no—
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—42no—
1137C2×D4—42no—
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—84no—
1149C2×D4—84no—
1150C2×D4—161no—
1151C2×D4—162no—
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—42no—
1173C22×C4—42no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—84no—
1180C22×C4—84no—
1181C22×C4C22×D411yescharacteristic
1182C22×C4C22×D411yescharacteristic
1183C22×C4H(5,𝔽2)11yescharacteristic
1184Q16—22no—
1185Q16—42no—
1186Q16—42no—
1187Q16—42no—
1188Q16—42no—
1189Q16—42no—
1190Q16—81no—
1191Q16—81no—
1192Q16AGL(1,ℤ/8)14yes—
1193SD16—22no—
1194SD16—22no—
1195SD16—41no—
1196SD16—41no—
1197SD16—42no—
1198SD16—42no—
1199SD16—42no—
1200SD16—42no—
1201SD16—42no—
1202SD16—42no—
1203SD16—81no—
1204SD16—81no—
1205SD16—81no—
1206SD16—81no—
1207SD16—81no—
1208SD16—81no—
1209SD16—81no—
1210SD16—81no—
1211SD16—81no—
1212SD16—81no—
1213SD16—81no—
1214SD16—81no—
1215SD16—161no—
1216SD16—161no—
1217D8—41no—
1218D8—41no—
1219D8—42no—
1220D8—42no—
1221D8—42no—
1222D8—42no—
1223D8—81no—
1224D8—81no—
1225D8—81no—
1226D8—81no—
1227D8—81no—
1228M16—22no—
1229M16—41no—
1230M16—42no—
1231M16—42no—
1232M16—42no—
1233M16—81no—
1234M16—81no—
1235M16—81no—
1236M16—81no—
1237C2×C8—21no—
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—42no—
1248C2×C8—42no—
1249C2×C8—42no—
1250C2×C8C22×D411yescharacteristic
1251C2×C8C22×D411yescharacteristic
1252C2×C8C22×D411yescharacteristic
1253C2×C8C22×D411yescharacteristic
1254C2×C8C22×D411yescharacteristic
1255C2×C8C22×D411yescharacteristic
1256C2×C8C22×D411yescharacteristic
1257C2×C8C22×D411yescharacteristic
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—21no—
1279C4⋊C4—21no—
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⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4C22×D411yescharacteristic
1299C4⋊C4C22×D411yescharacteristic
1300C4⋊C4C22×D411yescharacteristic
1301C4⋊C4C22×D411yescharacteristic
1302C4⋊C4C22×D411yescharacteristic
1303C4⋊C4C22×D411yescharacteristic
1304C4⋊C4C22×D411yescharacteristic
1305C4⋊C4C22×D411yescharacteristic
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—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—
1338C42—21no—
1339C42—21no—
1340C42—21no—
1341C42—21no—
1342C42—21no—
1343C42—21no—
1344C42—21no—
1345C42—21no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—41no—
1353C42—41no—
1354C42C22×D411yescharacteristic
1355C42C22×D411yescharacteristic
1356C42H(5,𝔽2)11yescharacteristic
1357C42C2511yescharacteristic
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—42no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—81no—
1367C23—81no—
1368C23—82no—
1369C23—82no—
1370C23—82no—
1371C23—82no—
1372C23—82no—
1373C23—161no—
1374C23D4211yescharacteristic
1375Q8—21no—
1376Q8—21no—
1377Q8—21no—
1378Q8—21no—
1379Q8—21no—
1380Q8—21no—
1381Q8—42no—
1382Q8—41no—
1383Q8—41no—
1384Q8—41no—
1385Q8—41no—
1386Q8—41no—
1387Q8—41no—
1388Q8—41no—
1389Q8—41no—
1390Q8—82no—
1391Q8—82no—
1392Q8—82no—
1393Q8—81no—
1394Q8—161no—
1395Q8C2×AGL(1,ℤ/8)12yes—
1396Q8C2×AGL(1,ℤ/8)12yes—
1397D4—21no—
1398D4—21no—
1399D4—21no—
1400D4—21no—
1401D4—21no—
1402D4—21no—
1403D4—21no—
1404D4—21no—
1405D4—42no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—41no—
1418D4—81no—
1419D4—82no—
1420D4—82no—
1421D4—82no—
1422D4—81no—
1423D4—81no—
1424D4—81no—
1425D4—82no—
1426D4—82no—
1427D4—81no—
1428D4—82no—
1429D4—82no—
1430D4—82no—
1431D4—82no—
1432D4—82no—
1433D4—82no—
1434D4—161no—
1435D4—161no—
1436D4—161no—
1437D4—161no—
1438D4—161no—
1439D4—161no—
1440D4—161no—
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—21no—
1457C2×C4—41no—
1458C2×C4—42no—
1459C2×C4—42no—
1460C2×C4—42no—
1461C2×C4—42no—
1462C2×C4—42no—
1463C2×C4—42no—
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—82no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4—82no—
1485C2×C4—82no—
1486C2×C4—82no—
1487C2×C4—82no—
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—21no—
1501C8—41no—
1502C8—41no—
1503C8—41no—
1504C8—41no—
1505C8—41no—
1506C8—41no—
1507C8—41no—
1508C8—41no—
1509C8—41no—
1510C8—41no—
1511C8C2×AGL(1,ℤ/8)12yes—
1512C22—21no—
1513C22—21no—
1514C22—21no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—162no—
1537C22—164no—
1538C22—164no—
1539C22C2×D4211yescharacteristic
1540C4—21no—
1541C4—22no—
1542C4—22no—
1543C4—21no—
1544C4—21no—
1545C4—21no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—81no—
1557C4—81no—
1558C4—81no—
1559C4—81no—
1560C4—81no—
1561C4C22×AGL(1,ℤ/8)11yescharacteristic
1562C4#358411yescharacteristic
1563C4#358511yescharacteristic
1564C4#358611yescharacteristic
1565C2—41no—
1566C2—81no—
1567C2—81no—
1568C2—81no—
1569C2—81no—
1570C2—161no—
1571C2—161no—
1572C2—161no—
1573C2D4×AGL(1,ℤ/8)11yescharacteristic
1574C2#6107811yescharacteristic
1575C2#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. #62151C2semidirect
2. #61901C2semidirect
3. #61544C2semidirect
4. #61070C2semidirect
5. #20288C2semidirect
6. #20259C2semidirect
7. #20224C2semidirect
8. #20169C2semidirect
9. #20166C2semidirect
10. #20088C2semidirect
11. #20087C2semidirect
12. #20066C2semidirect
13. #20064C2semidirect
14. #19973C2semidirect
15. #19945C2semidirect
16. #19897C2semidirect
17. #19876C2semidirect
18. #19843C2semidirect
19. #19770C2semidirect
20. #19761C2semidirect
21. #19713C2semidirect
22. #19495C2semidirect
23. #19479C2semidirect
24. #19376C2semidirect
25. #19307C2semidirect
26. #18852C2semidirect
27. #18824C2semidirect
28. #18806C2semidirect
29. #18771C2semidirect
30. #18053C2semidirect
31. #18006C2semidirect
33. #3523C22semidirect
37. #3398C22semidirect
41. #3397C22semidirect
43. #3392C22semidirect
44. #3387C22semidirect
45. Q8×SD16C22semidirect
46. Q8×D8C22semidirect
50. #3368C22semidirect
51. #3364C22semidirect
52. #3363C22semidirect
53. #3362C22semidirect
55. #3358C22semidirect
56. #3358C22semidirect
58. #3354C22semidirect
60. #3353C22semidirect
62. #3340C22semidirect
63. #3329C22semidirect
65. #3328C22semidirect
68. #3325C22semidirect
70. #3324C22semidirect
73. D4×Q16C22semidirect
91. #3217C22semidirect
93. #3208C22semidirect
94. #3208C22semidirect
95. #3185C22semidirect
106. #3104C22semidirect
115. #2984C22semidirect
116. #2969C22semidirect
120. #1722C22semidirect
121. #1717C22semidirect
122. #1717C22semidirect
123. #1715C22semidirect
124. #1714C22semidirect
125. #1714C22semidirect
126. #1709C22semidirect
127. #1705C22semidirect
128. #1703C22semidirect
129. #1702C22semidirect
130. #1701C22semidirect
131. #1701C22semidirect
132. #1699C22semidirect
133. #1698C22semidirect
134. #1694C22semidirect
135. #1692C22semidirect
136. #1691C22semidirect
137. #1689C22semidirect
138. #1688C22semidirect
139. #1687C22semidirect
140. #1686C22semidirect
141. #1685C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1683C22semidirect
145. #1682C22semidirect
146. #1682C22semidirect
147. #1682C22semidirect
148. #1679C22semidirect
149. #1678C22semidirect
150. #1674C22semidirect
151. #1672C22semidirect
152. #1671C22semidirect
153. #1669C22semidirect
154. #1668C22semidirect
155. #1667C22semidirect
156. #1666C22semidirect
157. #1666C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1653C22semidirect
162. #1652C22semidirect
163. #1651C22semidirect
164. #1649C22semidirect
165. #1649C22semidirect
166. #1648C22semidirect
167. #1647C22semidirect
168. #1642C22semidirect
171. #1641C22semidirect
172. #1641C22semidirect
173. #1641C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
178. #1631C22semidirect
179. #1631C22semidirect
180. #1628C22semidirect
181. #1628C22semidirect
182. #1628C22semidirect
183. #1627C22semidirect
184. #1627C22semidirect
185. #1627C22semidirect
186. #1626C22semidirect
187. #1626C22semidirect
188. #1624C22semidirect
189. #1624C22semidirect
190. #1623C22semidirect
191. #1623C22semidirect
192. #1594C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1590C22semidirect
196. #1588C22semidirect
197. #1588C22semidirect
198. #1587C22semidirect
199. #1586C22semidirect
200. #1584C22semidirect
201. #1583C22semidirect
202. #1582C22semidirect
203. #1581C22semidirect
204. #1579C22semidirect
205. SD16⋊C8C22semidirect
206. C8×Q16C22semidirect
207. C8×D8C22semidirect
208. #1574C22semidirect
209. #1569C22semidirect
210. #1561C22semidirect
211. #1559C22semidirect
213. #1545C22semidirect
214. #1495C22semidirect
216. #1487C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621512
#619012
#615442
#610702
#202882
#202592
#202242
#201692
#201662
#200882
#200872
#200662
#200642
#199732
#199452
#198972
#198762
#198432
#197702
#197612
#197132
#194952
#194792
#193762
#193072
#188522
#188242
#188062
#187712
#180532
#180062