Finite Group Databasebeta

← #6366923

Subgroups — #6366923

Order 512.

1669 conjugacy classes of subgroups.

The subgroup lattice has 1572 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62219C211yesmaximal, characteristic, complemented
2#62151C211yesmaximal, characteristic, complemented
3#61658C211yesmaximal, characteristic, complemented
4#61598C211yesmaximal, characteristic, complemented
5#20251C211yesmaximal, characteristic, complemented
6#20243C211yesmaximal, characteristic, complemented
7#20238C211yesmaximal, characteristic, complemented
8#20190C211yesmaximal, characteristic, complemented
9#20187C211yesmaximal, characteristic, complemented
10#20166C211yesmaximal, characteristic, complemented
11#20161C211yesmaximal, characteristic, complemented
12#20158C211yesmaximal, characteristic, complemented
13#19805C211yesmaximal, characteristic, complemented
14#19804C211yesmaximal, characteristic, complemented
15#19803C211yesmaximal, characteristic, complemented
16#19780C211yesmaximal, characteristic, complemented
17#19779C211yesmaximal, characteristic, complemented
18#19775C211yesmaximal, characteristic, complemented
19#19773C211yesmaximal, characteristic, complemented
20#19765C211yesmaximal, characteristic, complemented
21#19709C211yesmaximal, characteristic, complemented
22#19576C211yesmaximal, characteristic, complemented
23#19563C211yesmaximal, characteristic, complemented
24#19493C211yesmaximal, characteristic, complemented
25#19466C211yesmaximal, characteristic, complemented
26#18706C211yesmaximal, characteristic, complemented
27#18672C211yesmaximal, characteristic, complemented
28#18663C211yesmaximal, characteristic, complemented
29#18517C211yesmaximal, characteristic, complemented
30#18025C211yesmaximal, characteristic, complemented
31#18020C211yesmaximal, characteristic, complemented
32#3547C2211yescharacteristic, complemented
33#3518C2211yescharacteristic, complemented
34#3496C2211yescharacteristic
35D4×#41C2211yescharacteristic
36#3385C2211yescharacteristic, complemented
37Q8×SD16C2211yescharacteristic, complemented
38Q8×SD16C2211yescharacteristic, complemented
39Q8×D8C2211yescharacteristic, complemented
40#3367C2211yescharacteristic, complemented
41#3362C2211yescharacteristic, complemented
42#3360C2211yescharacteristic, complemented
43#3358C2211yescharacteristic, complemented
44#3354—21no—
45#3354C2211yescharacteristic, complemented
46#3354C2211yescharacteristic, complemented
47#3353—21no—
48#3353C2211yescharacteristic, complemented
49#3350—21no—
50#3341C2211yescharacteristic, complemented
51#3340—21no—
52#3332C2211yescharacteristic
53#3331C2211yescharacteristic, complemented
54#3330C2211yescharacteristic
55#3329C2211yescharacteristic, complemented
56#3325—21no—
57#3325C2211yescharacteristic, complemented
58#3325C2211yescharacteristic, complemented
59#3324—21no—
60#3324C2211yescharacteristic, complemented
61#3323—21no—
62#3321—21no—
63#3308—21no—
64#3306—21no—
65#3303C2211yescharacteristic
66#3301—21no—
67#3298C2211yescharacteristic
68#3298C2211yescharacteristic, complemented
69#3296—21no—
70#3295C2211yescharacteristic
71#3294C2211yescharacteristic
72#3283C2211yescharacteristic, complemented
73#3282—21no—
74D4×SD16C2211yescharacteristic
75D4×SD16C2211yescharacteristic, complemented
76D4×D8C2211yescharacteristic
77#3276C2211yescharacteristic
78#3275—21no—
79#3274C2211yescharacteristic
80#3272C2211yescharacteristic
81#3272C2211yescharacteristic
82#3265—21no—
83#3264—21no—
84#3257—21no—
85#3251—21no—
86#3251C2211yescharacteristic, complemented
87#3246C2211yescharacteristic, complemented
88#3244—21no—
89#3231C2211yescharacteristic, complemented
90#3228—21no—
91#3228C2211yescharacteristic, complemented
92#3214C2211yescharacteristic
93#3212C2211yescharacteristic, complemented
94#3210C2211yescharacteristic, complemented
95#3207C2211yescharacteristic
96#3204—21no—
97#3201—21no—
98#3194—21no—
99#3188—21no—
100#3167C2211yescharacteristic, complemented
101#3167C2211yescharacteristic, complemented
102#3126—21no—
103#3115C2211yescharacteristic
104#3106C2211yescharacteristic
105#3105—21no—
106#3105C2211yescharacteristic
107#3101C2211yescharacteristic
108#3082—21no—
109#3077—21no—
110#3077C2211yescharacteristic
111#3076C2211yescharacteristic, complemented
112#3012—21no—
113#3009—21no—
114#3006—21no—
115C2×#449—21no—
116#2994C2211yescharacteristic, complemented
117#2991C2211yescharacteristic, complemented
118#2979C2211yescharacteristic, complemented
119#2974C2211yescharacteristic
120#1720C2211yescharacteristic, complemented
121#1719C2211yescharacteristic, complemented
122#1718C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1716C2211yescharacteristic, complemented
125#1715C2211yescharacteristic, complemented
126#1714C2211yescharacteristic, complemented
127#1714C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1699C2211yescharacteristic, complemented
133#1699C2211yescharacteristic, complemented
134#1697C2211yescharacteristic, complemented
135#1697C2211yescharacteristic, complemented
136#1695C2211yescharacteristic, complemented
137#1693C2211yescharacteristic, complemented
138#1691C2211yescharacteristic, complemented
139#1691C2211yescharacteristic, complemented
140#1689C2211yescharacteristic, complemented
141#1687C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1680C2211yescharacteristic, complemented
149#1679C2211yescharacteristic, complemented
150#1678C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1675C2211yescharacteristic, complemented
153#1673C2211yescharacteristic, complemented
154#1671C2211yescharacteristic, complemented
155#1671C2211yescharacteristic, complemented
156#1670C2211yescharacteristic, complemented
157#1668C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic, complemented
162#1654C2211yescharacteristic, complemented
163#1654C2211yescharacteristic, complemented
164#1652C2211yescharacteristic, complemented
165#1651C2211yescharacteristic, complemented
166#1651C2211yescharacteristic, complemented
167#1651C2211yescharacteristic, complemented
168#1646C2211yescharacteristic, complemented
169#1646C2211yescharacteristic, complemented
170#1645C2211yescharacteristic, complemented
171#1643C2211yescharacteristic, complemented
172#1642C2211yescharacteristic, complemented
173#1639C2211yescharacteristic
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1637C2211yescharacteristic, complemented
177#1635C2211yescharacteristic
178#1635C2211yescharacteristic, complemented
179#1635C2211yescharacteristic, complemented
180#1631C2211yescharacteristic, complemented
181#1629C2211yescharacteristic
182#1629C2211yescharacteristic, complemented
183#1629C2211yescharacteristic, complemented
184#1628C2211yescharacteristic, complemented
185#1627C2211yescharacteristic, complemented
186#1627C2211yescharacteristic, complemented
187#1625C2211yescharacteristic, complemented
188#1624C2211yescharacteristic, complemented
189#1624C2211yescharacteristic, complemented
190#1623C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1594C2211yescharacteristic, complemented
194#1594C2211yescharacteristic, complemented
195#1592C2211yescharacteristic, complemented
196#1583C2211yescharacteristic, complemented
197#1583C2211yescharacteristic, complemented
198#1583C2211yescharacteristic, complemented
199#1582C2211yescharacteristic, complemented
200#1581C2211yescharacteristic, complemented
201#1581C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206SD16⋊C8C2211yescharacteristic, complemented
207SD16⋊C8C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1573C2211yescharacteristic, complemented
210#1559C2211yescharacteristic, complemented
211#1554C2211yescharacteristic, complemented
212#1547C2211yescharacteristic, complemented
213#1540C2211yescharacteristic, complemented
214#1494C2211yescharacteristic, complemented
215#1492C2211yescharacteristic, complemented
216#1476C2211yescharacteristic, complemented
217C2×D4⋊C8C2211yescharacteristic
218#1452C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C22×#41—21no—
221C2×#137—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×#135—21no—
226C22×SD16—21no—
227C22×SD16—21no—
228C22×D8—21no—
229#562—41no—
230Q82C2311yescharacteristic
231#556—21no—
232#556—21no—
233#556—41no—
234#556C2311yescharacteristic
235#555—21no—
236#555—21no—
237#555C2311yescharacteristic
238#555C2311yescharacteristic
239#554C2311yescharacteristic
240#553—21no—
241#552—21no—
242#550C2311yescharacteristic
243D4×Q8C2311yescharacteristic
244D4×Q8C2311yescharacteristic
245D4×Q8C2311yescharacteristic
246#548—21no—
247#548—21no—
248#548—21no—
249#547—21no—
250#547—21no—
251#547C2311yescharacteristic
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#546—21no—
256#546—21no—
257#546—21no—
258#546—41no—
259#546—41no—
260D42—21no—
261D42—21no—
262D42C2311yescharacteristic
263D42C2311yescharacteristic
264D42C2311yescharacteristic
265#544—21no—
266#542—21no—
267#542—41no—
268#542—41no—
269#540—21no—
270#537—21no—
271#537—21no—
272#536—21no—
273#534—41no—
274#533—21no—
275#533C2311yescharacteristic
276#533C2311yescharacteristic
277#532—21no—
278#532C2311yescharacteristic
279#532C2311yescharacteristic
280#532C2311yescharacteristic
281#529—21no—
282#529C2311yescharacteristic
283#525—21no—
284#525—41no—
285C2×#121—21no—
286C2×#121—21no—
287#519—21no—
288C4×#41C2311yescharacteristic
289C2×C4×D4—21no—
290C2×C4×D4C2311yescharacteristic
291#501—21no—
292#500—21no—
293#500C2311yescharacteristic
294#500C2311yescharacteristic
295#498—21no—
296#498—21no—
297#498C2311yescharacteristic
298#498C2311yescharacteristic
299#498C2311yescharacteristic
300#498C2311yescharacteristic
301#496—21no—
302#495—21no—
303#494C2311yescharacteristic
304#493C2311yescharacteristic
305#492C2311yescharacteristic
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#489—21no—
310#489—21no—
311#488—21no—
312#488—21no—
313#487C2311yescharacteristic
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#486—21no—
320#486—21no—
321#486C2311yescharacteristic
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic
327#485—21no—
328#485—21no—
329#485—21no—
330#485—21no—
331#484—21no—
332#484—21no—
333#484D411yescharacteristic
334#483—21no—
335#483—21no—
336#483—21no—
337#483—21no—
338#482—21no—
339#482—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#482D411yescharacteristic
350#482D411yescharacteristic
351#481—21no—
352#481—21no—
353#481—21no—
354#481—21no—
355#481D411yescharacteristic
356#480—21no—
357#479—21no—
358#479—21no—
359#479—21no—
360#479—21no—
361#479—21no—
362#478—21no—
363#478—21no—
364#478—21no—
365#478—21no—
366#478—21no—
367#478—21no—
368#478D411yescharacteristic
369#478D411yescharacteristic
370#477—21no—
371#477D411yescharacteristic
372#477C2311yescharacteristic
373#476—21no—
374#476—21no—
375#476—21no—
376#476D411yescharacteristic
377#476C2311yescharacteristic
378#476C2311yescharacteristic
379#476C2311yescharacteristic
380#476C2311yescharacteristic
381#476C2311yescharacteristic
382#476C2311yescharacteristic
383#476C2311yescharacteristic
384#475—21no—
385#475—21no—
386#475—21no—
387#475C2311yescharacteristic
388#475C2311yescharacteristic
389#475C2311yescharacteristic
390#474—21no—
391#474—21no—
392#474—21no—
393#474—21no—
394#474C2311yescharacteristic
395#474C2311yescharacteristic
396#474C2311yescharacteristic
397#474C2311yescharacteristic
398#474C2311yescharacteristic
399#470—21no—
400#470—21no—
401#469—21no—
402#469—21no—
403#469—21no—
404#469—21no—
405#469—21no—
406#469—21no—
407#469—21no—
408#468—21no—
409#468—21no—
410#468—21no—
411#468—21no—
412#468—21no—
413#468—21no—
414#468—21no—
415#467—21no—
416#466—21no—
417#466—21no—
418#466—21no—
419#465—21no—
420#465—21no—
421#465—21no—
422#465—21no—
423#465—21no—
424#465—21no—
425#465—21no—
426#465—21no—
427#465—41no—
428#465—41no—
429#464—21no—
430#464—21no—
431#463—21no—
432#463—21no—
433#463—21no—
434#463—21no—
435#463—21no—
436#463D411yescharacteristic
437#463D411yescharacteristic
438#462C2311yescharacteristic
439#461C2311yescharacteristic
440#461C2311yescharacteristic
441#461C2311yescharacteristic
442#461C2311yescharacteristic
443#461C2311yescharacteristic
444#461C2311yescharacteristic
445#461C2311yescharacteristic
446#460—21no—
447#460—21no—
448#460D411yescharacteristic
449#460C2311yescharacteristic
450#460C2311yescharacteristic
451#460C2311yescharacteristic
452#459—21no—
453#459D411yescharacteristic
454#459C2311yescharacteristic
455#459C2311yescharacteristic
456#459C2311yescharacteristic
457#459C2311yescharacteristic
458#459C2311yescharacteristic
459#452—21no—
460#452—21no—
461#452—21no—
462#452—21no—
463#452—21no—
464#452—21no—
465#452—21no—
466#451—21no—
467#450—21no—
468#450—21no—
469#450—21no—
470#450—21no—
471#450—21no—
472#450—21no—
473#450—21no—
474#450D411yescharacteristic
475#449—21no—
476#449—21no—
477#449—21no—
478#449—21no—
479#449—21no—
480#449—21no—
481#449—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449D411yescharacteristic
488#449D411yescharacteristic
489#448—21no—
490#448—21no—
491#448—21no—
492#448—21no—
493#448—21no—
494#447—21no—
495#447—21no—
496#447—21no—
497#447—21no—
498#447—21no—
499#447—21no—
500#447D411yescharacteristic
501#446C2311yescharacteristic
502C8×Q8C2311yescharacteristic
503C8×Q8C2311yescharacteristic
504C8×Q8C2311yescharacteristic
505#442—21no—
506#440—21no—
507#440—21no—
508#440—21no—
509C4×SD16—21no—
510C4×SD16—21no—
511C4×SD16—21no—
512C4×SD16—21no—
513C4×SD16—21no—
514C4×SD16—21no—
515C4×SD16—41no—
516C4×SD16—41no—
517C4×SD16C2311yescharacteristic
518C4×SD16C2311yescharacteristic
519C4×SD16C2311yescharacteristic
520C4×SD16C2311yescharacteristic
521C4×D8—21no—
522C4×D8—21no—
523C4×D8C2311yescharacteristic
524C4×D8C2311yescharacteristic
525C4×D8C2311yescharacteristic
526C4×D8C2311yescharacteristic
527#436—21no—
528#436—21no—
529#436—21no—
530#436C2311yescharacteristic
531#436C2311yescharacteristic
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#436C2311yescharacteristic
535#436C2311yescharacteristic
536#436C2311yescharacteristic
537#435—21no—
538#435—21no—
539#435—21no—
540C8×D4—21no—
541C8×D4—21no—
542C8×D4C2311yescharacteristic
543C8×D4C2311yescharacteristic
544C8×D4C2311yescharacteristic
545C8×D4C2311yescharacteristic
546C8×D4C2311yescharacteristic
547#433—21no—
548#432C2311yescharacteristic
549#431—21no—
550#431C2311yescharacteristic
551#431C2311yescharacteristic
552#431C2311yescharacteristic
553#428—21no—
554#428—21no—
555#428—21no—
556#428—21no—
557#427—21no—
558#427—21no—
559#424—21no—
560#423—21no—
561#423C2311yescharacteristic
562C2×C4⋊C8C2311yescharacteristic
563#419—21no—
564#418—21no—
565#418—21no—
566#418—21no—
567#418—21no—
568#417—21no—
569#417—21no—
570#417—21no—
571#416—21no—
572#416—21no—
573C2×#103—21no—
574C2×#103—21no—
575C2×#102—21no—
576C2×#102—21no—
577#408—21no—
578#408—21no—
579#407—21no—
580C2×C22⋊C8—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#333C2311yescharacteristic
593#333C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610D4⋊C8C2311yescharacteristic
611D4⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625#322C2311yescharacteristic
626H(5,𝔽2)—82no—
627H(5,𝔽2)—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—41no—
637C2×#41—41no—
638C2×#41—41no—
639C2×#41—82no—
640C2×#41—82no—
641C2×#41C2×D411yescharacteristic
642C22×Q8—21no—
643C22×Q8—21no—
644C22×Q8—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×D4—41no—
654C22×D4—41no—
655C22×D4C2×D411yescharacteristic
656C23×C4—21no—
657C23×C4—41no—
658#137—82no—
659AGL(1,ℤ/8)—82no—
660AGL(1,ℤ/8)—82no—
661AGL(1,ℤ/8)—82no—
662#135—82no—
663C2×Q16—21no—
664C2×Q16—21no—
665C2×Q16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—41no—
681C2×SD16—41no—
682C2×SD16—82no—
683C2×SD16—82no—
684C2×SD16C2×D411yescharacteristic
685C2×SD16C2×D411yescharacteristic
686C2×SD16C2×D411yescharacteristic
687C2×SD16C2×D411yescharacteristic
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—21no—
695C2×D8—82no—
696C2×D8C2×D411yescharacteristic
697C2×D8C2×D411yescharacteristic
698C2×D8C2×D411yescharacteristic
699C2×D8C2×D411yescharacteristic
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—21no—
703C2×M16—21no—
704C2×M16—21no—
705C2×M16—21no—
706C2×M16—21no—
707C2×M16—21no—
708C22×C8—21no—
709C22×C8—21no—
710C22×C8—21no—
711C22×C8—21no—
712C22×C8—21no—
713C22×C8—21no—
714C22×C8—21no—
715C4⋊Q8—21no—
716C4⋊Q8—21no—
717C4⋊Q8—21no—
718C4⋊Q8—21no—
719C4⋊Q8—21no—
720C4⋊Q8—41no—
721C4⋊Q8—41no—
722C4⋊Q8C2×D411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725C4⋊Q8C2411yescharacteristic
726C4⋊Q8C2411yescharacteristic
727C4⋊Q8C2411yescharacteristic
728C4⋊Q8C2411yescharacteristic
729#127—21no—
730#127C2×D411yescharacteristic
731#127C2411yescharacteristic
732#127C2411yescharacteristic
733#126—21no—
734#126—41no—
735#126—41no—
736#126—41no—
737#126—41no—
738#126—41no—
739#125—21no—
740#125—21no—
741#125—21no—
742#125—41no—
743#125C2×D411yescharacteristic
744#124—21no—
745#124—21no—
746#124—21no—
747#124—21no—
748#124—41no—
749#124—41no—
750#124—41no—
751#124—41no—
752#124—41no—
753#124—41no—
754#124—41no—
755#124—41no—
756#124C2×D411yescharacteristic
757#123—21no—
758#123—41no—
759#123—41no—
760#123—41no—
761#123—41no—
762#123—41no—
763#123—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770C22⋊Q8—21no—
771C22⋊Q8—21no—
772C22⋊Q8—21no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8C2×D411yescharacteristic
794#121—21no—
795#121—21no—
796#121—21no—
797#121—21no—
798#121—21no—
799#121—21no—
800#121—21no—
801#121—21no—
802#121—21no—
803#121—21no—
804#121—21no—
805#121—21no—
806#121—21no—
807#121—21no—
808#121—21no—
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—41no—
815#121—41no—
816#121—41no—
817#121—41no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121C2×D411yescharacteristic
828#121C2×D411yescharacteristic
829#121C2×D411yescharacteristic
830#120—41no—
831#120—41no—
832#120—41no—
833#120—41no—
834#120—41no—
835#120—41no—
836#120—41no—
837C4×Q8—21no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8—21no—
843C4×Q8—21no—
844C4×Q8—41no—
845C4×Q8—41no—
846C4×Q8—41no—
847C4×Q8C2×D411yescharacteristic
848C4×Q8C2411yescharacteristic
849C4×Q8C2411yescharacteristic
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—41no—
866C4×D4—41no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4C2×D411yescharacteristic
871C4×D4C2×D411yescharacteristic
872C4×D4C2×D411yescharacteristic
873C4×D4C2411yescharacteristic
874C4×D4C2411yescharacteristic
875C4×D4C2411yescharacteristic
876C4×D4C2411yescharacteristic
877C4×D4C2411yescharacteristic
878C4×D4C2411yescharacteristic
879#117—21no—
880#117—21no—
881#117—21no—
882#117—21no—
883#117—21no—
884#117—21no—
885#117—21no—
886#117—21no—
887#117—21no—
888#117—41no—
889#117—41no—
890#117—41no—
891#117C2×D411yescharacteristic
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4C2×D411yescharacteristic
898C2×C22⋊C4—21no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C42—21no—
903C2×C42C2411yescharacteristic
904#107—21no—
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107—21no—
913#107—21no—
914#107C2×D411yescharacteristic
915#107C2×D411yescharacteristic
916#107C2×D411yescharacteristic
917#107C2×D411yescharacteristic
918#106—21no—
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—21no—
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—21no—
931#106—21no—
932#106—41no—
933#106—41no—
934#106C2×D411yescharacteristic
935#106C2×D411yescharacteristic
936#106C2×D411yescharacteristic
937#106C2×D411yescharacteristic
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8—21no—
943C4⋊C8—21no—
944C4⋊C8C2×D411yescharacteristic
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2×D411yescharacteristic
947C4⋊C8C2×D411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955C4⋊C8C2411yescharacteristic
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—21no—
975#103—21no—
976#103—41no—
977#103—41no—
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
982#102—21no—
983#102—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—41no—
1011#102—41no—
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023#102C2×D411yescharacteristic
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8C2×D411yescharacteristic
1039C22⋊C8C2×D411yescharacteristic
1040C22⋊C8C2×D411yescharacteristic
1041C22⋊C8C2×D411yescharacteristic
1042#97—21no—
1043#97—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8—21no—
1047C4×C8—21no—
1048C4×C8—21no—
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C24—21no—
1056C24—41no—
1057C24—41no—
1058C24—41no—
1059#41—22no—
1060#41—41no—
1061#41—42no—
1062#41—42no—
1063#41—42no—
1064#41—42no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075#41—84no—
1076#41—81no—
1077#41—81no—
1078#41—84no—
1079#41—84no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—42no—
1092C2×Q8—42no—
1093C2×Q8—81no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8—81no—
1097C2×Q8C22×D411yescharacteristic
1098C2×Q8C22×D411yescharacteristic
1099C2×D4—22no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
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—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—84no—
1143C2×D4—84no—
1144C2×D4—84no—
1145C2×D4—84no—
1146C2×D4C22×D411yescharacteristic
1147C2×D4C22×D411yescharacteristic
1148C2×D4C22×D411yescharacteristic
1149C2×D4C22×D411yescharacteristic
1150C2×D4C22×D411yescharacteristic
1151C2×D4C22×D411yescharacteristic
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
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—81no—
1175C22×C4—81no—
1176C22×C4—84no—
1177C22×C4C22×D411yescharacteristic
1178C22×C4C22×D411yescharacteristic
1179C22×C4H(5,𝔽2)11yescharacteristic
1180Q16—81no—
1181Q16—81no—
1182Q16—81no—
1183SD16—22no—
1184SD16—22no—
1185SD16—22no—
1186SD16—41no—
1187SD16—42no—
1188SD16—42no—
1189SD16—42no—
1190SD16—81no—
1191SD16—81no—
1192SD16—81no—
1193SD16—81no—
1194SD16—81no—
1195SD16—81no—
1196SD16—81no—
1197SD16—81no—
1198SD16—81no—
1199SD16—81no—
1200SD16—81no—
1201SD16—82no—
1202SD16—82no—
1203D8—22no—
1204D8—41no—
1205D8—41no—
1206D8—41no—
1207D8—42no—
1208D8—81no—
1209D8—81no—
1210D8—81no—
1211D8—81no—
1212D8—81no—
1213D8—81no—
1214M16—81no—
1215M16—81no—
1216M16—81no—
1217M16—81no—
1218M16—81no—
1219M16—81no—
1220M16—81no—
1221M16—81no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—81no—
1233C2×C8—81no—
1234C2×C8—81no—
1235C2×C8—81no—
1236C2×C8—81no—
1237C2×C8—81no—
1238C2×C8—81no—
1239C2×C8C22×D411yescharacteristic
1240C2×C8C22×D411yescharacteristic
1241C2×C8C22×D411yescharacteristic
1242C2×C8C22×D411yescharacteristic
1243C2×C8C22×D411yescharacteristic
1244C2×C8C22×D411yescharacteristic
1245C2×C8C22×D411yescharacteristic
1246C2×C8C22×D411yescharacteristic
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—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—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4C22×D411yescharacteristic
1284C4⋊C4C22×D411yescharacteristic
1285C4⋊C4C22×D411yescharacteristic
1286C4⋊C4C22×D411yescharacteristic
1287C4⋊C4C22×D411yescharacteristic
1288C4⋊C4C22×D411yescharacteristic
1289C4⋊C4C22×D411yescharacteristic
1290C4⋊C4C22×D411yescharacteristic
1291C22⋊C4—21no—
1292C22⋊C4—21no—
1293C22⋊C4—21no—
1294C22⋊C4—21no—
1295C22⋊C4—21no—
1296C22⋊C4—21no—
1297C22⋊C4—21no—
1298C22⋊C4—21no—
1299C22⋊C4—21no—
1300C22⋊C4—21no—
1301C22⋊C4—21no—
1302C22⋊C4—21no—
1303C22⋊C4—21no—
1304C22⋊C4—21no—
1305C22⋊C4—21no—
1306C22⋊C4—21no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
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—
1331C42—21no—
1332C42—21no—
1333C42—21no—
1334C42—21no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42C22×D411yescharacteristic
1342C42C22×D411yescharacteristic
1343C42H(5,𝔽2)11yescharacteristic
1344C42C2511yescharacteristic
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—42no—
1352C23—41no—
1353C23—41no—
1354C23—81no—
1355C23—81no—
1356C23—82no—
1357C23—82no—
1358C23—82no—
1359C23—82no—
1360C23—161no—
1361C23—161no—
1362C23—161no—
1363C23—161no—
1364C23—161no—
1365C23D4211yescharacteristic
1366Q8—21no—
1367Q8—21no—
1368Q8—21no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—41no—
1373Q8—41no—
1374Q8—41no—
1375Q8—41no—
1376Q8—41no—
1377Q8—81no—
1378Q8—82no—
1379Q8—82no—
1380Q8—81no—
1381Q8—81no—
1382Q8—161no—
1383Q8—161no—
1384Q8#57712yes—
1385D4—21no—
1386D4—21no—
1387D4—21no—
1388D4—21no—
1389D4—21no—
1390D4—21no—
1391D4—21no—
1392D4—21no—
1393D4—21no—
1394D4—21no—
1395D4—21no—
1396D4—42no—
1397D4—42no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—81no—
1407D4—81no—
1408D4—82no—
1409D4—81no—
1410D4—81no—
1411D4—81no—
1412D4—81no—
1413D4—81no—
1414D4—82no—
1415D4—82no—
1416D4—82no—
1417D4—82no—
1418D4—82no—
1419D4—82no—
1420D4—82no—
1421D4—82no—
1422D4—82no—
1423D4—161no—
1424D4—161no—
1425D4—161no—
1426D4—161no—
1427D4—161no—
1428D4—161no—
1429D4#57712yes—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—41no—
1445C2×C4—42no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—81no—
1465C2×C4—81no—
1466C2×C4—81no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—81no—
1473C2×C4—82no—
1474C2×C4—82no—
1475C2×C4—82no—
1476C2×C4—161no—
1477C2×C4—161no—
1478C2×C4—161no—
1479C2×C4D4211yescharacteristic
1480C2×C4D4211yescharacteristic
1481C2×C4D4211yescharacteristic
1482C2×C4C23×D411yescharacteristic
1483C2×C4C23×D411yescharacteristic
1484C2×C4C2×H(5,𝔽2)11yescharacteristic
1485C8—21no—
1486C8—21no—
1487C8—21no—
1488C8—21no—
1489C8—21no—
1490C8—21no—
1491C8—21no—
1492C8—21no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C8—41no—
1497C8—41no—
1498C8—41no—
1499C8—41no—
1500C8—41no—
1501C8—41no—
1502C8—41no—
1503C22—21no—
1504C22—21no—
1505C22—22no—
1506C22—21no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—162no—
1531C22—164no—
1532C22—322no—
1533C22—322no—
1534C22C2×D4211yescharacteristic
1535C4—21no—
1536C4—21no—
1537C4—22no—
1538C4—21no—
1539C4—21no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—81no—
1550C4—81no—
1551C4—81no—
1552C4—81no—
1553C4—81no—
1554C4—81no—
1555C4C2×#57711yescharacteristic
1556C4C2×#57711yescharacteristic
1557C4#358511yescharacteristic
1558C4#358511yescharacteristic
1559C2—41no—
1560C2—42no—
1561C2—81no—
1562C2—81no—
1563C2—81no—
1564C2—81no—
1565C2—81no—
1566C2—161no—
1567C2—161no—
1568C2#6107111yescharacteristic
1569C2#6107111yescharacteristic
1570C2#6110011yescharacteristic
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. #62219C2semidirect
2. #62151C2semidirect
3. #61658C2semidirect
4. #61598C2semidirect
5. #20251C2semidirect
6. #20243C2semidirect
7. #20238C2semidirect
8. #20190C2semidirect
9. #20187C2semidirect
10. #20166C2semidirect
11. #20161C2semidirect
12. #20158C2semidirect
13. #19805C2semidirect
14. #19804C2semidirect
15. #19803C2semidirect
16. #19780C2semidirect
17. #19779C2semidirect
18. #19775C2semidirect
19. #19773C2semidirect
20. #19765C2semidirect
21. #19709C2semidirect
22. #19576C2semidirect
23. #19563C2semidirect
24. #19493C2semidirect
25. #19466C2semidirect
26. #18706C2semidirect
27. #18672C2semidirect
28. #18663C2semidirect
29. #18517C2semidirect
30. #18025C2semidirect
31. #18020C2semidirect
32. #3547C22semidirect
33. #3518C22semidirect
36. #3385C22semidirect
37. Q8×SD16C22semidirect
38. Q8×SD16C22semidirect
39. Q8×D8C22semidirect
40. #3367C22semidirect
41. #3362C22semidirect
42. #3360C22semidirect
43. #3358C22semidirect
45. #3354C22semidirect
46. #3354C22semidirect
48. #3353C22semidirect
50. #3341C22semidirect
53. #3331C22semidirect
55. #3329C22semidirect
57. #3325C22semidirect
58. #3325C22semidirect
60. #3324C22semidirect
68. #3298C22semidirect
72. #3283C22semidirect
75. D4×SD16C22semidirect
86. #3251C22semidirect
87. #3246C22semidirect
89. #3231C22semidirect
91. #3228C22semidirect
93. #3212C22semidirect
94. #3210C22semidirect
100. #3167C22semidirect
101. #3167C22semidirect
111. #3076C22semidirect
116. #2994C22semidirect
117. #2991C22semidirect
118. #2979C22semidirect
120. #1720C22semidirect
121. #1719C22semidirect
122. #1718C22semidirect
123. #1717C22semidirect
124. #1716C22semidirect
125. #1715C22semidirect
126. #1714C22semidirect
127. #1714C22semidirect
128. #1703C22semidirect
129. #1703C22semidirect
130. #1702C22semidirect
131. #1701C22semidirect
132. #1699C22semidirect
133. #1699C22semidirect
134. #1697C22semidirect
135. #1697C22semidirect
136. #1695C22semidirect
137. #1693C22semidirect
138. #1691C22semidirect
139. #1691C22semidirect
140. #1689C22semidirect
141. #1687C22semidirect
142. #1686C22semidirect
143. #1685C22semidirect
144. #1684C22semidirect
145. #1683C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1680C22semidirect
149. #1679C22semidirect
150. #1678C22semidirect
151. #1677C22semidirect
152. #1675C22semidirect
153. #1673C22semidirect
154. #1671C22semidirect
155. #1671C22semidirect
156. #1670C22semidirect
157. #1668C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
161. #1654C22semidirect
162. #1654C22semidirect
163. #1654C22semidirect
164. #1652C22semidirect
165. #1651C22semidirect
166. #1651C22semidirect
167. #1651C22semidirect
168. #1646C22semidirect
169. #1646C22semidirect
170. #1645C22semidirect
171. #1643C22semidirect
172. #1642C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
176. #1637C22semidirect
178. #1635C22semidirect
179. #1635C22semidirect
180. #1631C22semidirect
182. #1629C22semidirect
183. #1629C22semidirect
184. #1628C22semidirect
185. #1627C22semidirect
186. #1627C22semidirect
187. #1625C22semidirect
188. #1624C22semidirect
189. #1624C22semidirect
190. #1623C22semidirect
191. #1622C22semidirect
192. #1594C22semidirect
193. #1594C22semidirect
194. #1594C22semidirect
195. #1592C22semidirect
196. #1583C22semidirect
197. #1583C22semidirect
198. #1583C22semidirect
199. #1582C22semidirect
200. #1581C22semidirect
201. #1581C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. SD16⋊C8C22semidirect
206. SD16⋊C8C22semidirect
207. SD16⋊C8C22semidirect
208. #1574C22semidirect
209. #1573C22semidirect
210. #1559C22semidirect
211. #1554C22semidirect
212. #1547C22semidirect
213. #1540C22semidirect
214. #1494C22semidirect
215. #1492C22semidirect
216. #1476C22semidirect
218. #1452C22semidirect

Maximal subgroups

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

subgroupindex
#622192
#621512
#616582
#615982
#202512
#202432
#202382
#201902
#201872
#201662
#201612
#201582
#198052
#198042
#198032
#197802
#197792
#197752
#197732
#197652
#197092
#195762
#195632
#194932
#194662
#187062
#186722
#186632
#185172
#180252
#180202