Finite Group Databasebeta

← #6369308

Subgroups — #6369308

Order 512.

1693 conjugacy classes of subgroups.

The subgroup lattice has 1575 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62151C211yesmaximal, characteristic, complemented
2#61604C211yesmaximal, characteristic, complemented
3#61543C211yesmaximal, characteristic, complemented
4#61161C211yesmaximal, characteristic, complemented
5#20301C211yesmaximal, characteristic, complemented
6#20254C211yesmaximal, characteristic, complemented
7#20251C211yesmaximal, characteristic, complemented
8#20187C211yesmaximal, characteristic, complemented
9#20159C211yesmaximal, characteristic, complemented
10#20130C211yesmaximal, characteristic, complemented
11#20059C211yesmaximal, characteristic, complemented
12#20057C211yesmaximal, characteristic, complemented
13#20046C211yesmaximal, characteristic, complemented
14#19981C211yesmaximal, characteristic, complemented
15#19904C211yesmaximal, characteristic, complemented
16#19901C211yesmaximal, characteristic, complemented
17#19827C211yesmaximal, characteristic, complemented
18#19803C211yesmaximal, characteristic, complemented
19#19780C211yesmaximal, characteristic, complemented
20#19775C211yesmaximal, characteristic, complemented
21#19718C211yesmaximal, characteristic, complemented
22#19494C211yesmaximal, characteristic, complemented
23#19467C211yesmaximal, characteristic, complemented
24#19383C211yesmaximal, characteristic, complemented
25#19305C211yesmaximal, characteristic, complemented
26#18861C211yesmaximal, characteristic, complemented
27#18810C211yesmaximal, characteristic, complemented
28#18794C211yesmaximal, characteristic, complemented
29#18757C211yesmaximal, characteristic, complemented
30#18052C211yesmaximal, characteristic, complemented
31#18008C211yesmaximal, characteristic, complemented
32#3519C2211yescharacteristic, complemented
33#3518C2211yescharacteristic
34D4×#41C2211yescharacteristic, complemented
35C2×#547C2211yescharacteristic
36#3397C2211yescharacteristic, complemented
37#3385C2211yescharacteristic, complemented
38Q8×SD16C2211yescharacteristic, complemented
39Q8×D8C2211yescharacteristic, complemented
40#3362C2211yescharacteristic, complemented
41#3362C2211yescharacteristic, complemented
42#3360C2211yescharacteristic, complemented
43#3358C2211yescharacteristic, complemented
44#3354—21no—
45#3354C2211yescharacteristic, complemented
46#3353—21no—
47#3353C2211yescharacteristic, complemented
48#3350—21no—
49#3341C2211yescharacteristic, complemented
50#3332C2211yescharacteristic
51#3332C2211yescharacteristic, complemented
52#3331C2211yescharacteristic
53#3331C2211yescharacteristic, complemented
54#3330C2211yescharacteristic
55#3330C2211yescharacteristic, complemented
56#3329C2211yescharacteristic, complemented
57#3326—21no—
58#3325—21no—
59#3325C2211yescharacteristic, complemented
60#3325C2211yescharacteristic, complemented
61#3324—21no—
62#3324—21no—
63#3324C2211yescharacteristic, complemented
64#3308—21no—
65#3308—21no—
66#3307—21no—
67#3307—21no—
68#3306—21no—
69#3306—21no—
70#3303C2211yescharacteristic
71#3303C2211yescharacteristic, complemented
72#3298C2211yescharacteristic
73#3298C2211yescharacteristic, complemented
74#3294C2211yescharacteristic
75#3294C2211yescharacteristic, complemented
76#3284C2211yescharacteristic
77#3284C2211yescharacteristic, complemented
78D4×SD16C2211yescharacteristic, complemented
79#3272C2211yescharacteristic
80#3272C2211yescharacteristic, complemented
81#3267—21no—
82#3267—21no—
83#3265—21no—
84#3251—21no—
85#3251C2211yescharacteristic
86#3229C2211yescharacteristic, complemented
87#3228—21no—
88#3228C2211yescharacteristic, complemented
89#3218C2211yescharacteristic, complemented
90#3207C2211yescharacteristic
91#3206C2211yescharacteristic, complemented
92#3196—21no—
93#3187—21no—
94#3182C2211yescharacteristic, complemented
95#3179—21no—
96#3141C2211yescharacteristic, complemented
97#3126—21no—
98#3118—21no—
99#3109C2211yescharacteristic
100#3106C2211yescharacteristic
101#3105—21no—
102#3105C2211yescharacteristic
103#3101C2211yescharacteristic, complemented
104#3092—21no—
105#3079C2211yescharacteristic, complemented
106#3077—21no—
107#3077C2211yescharacteristic, complemented
108#3055—21no—
109#3036C2211yescharacteristic
110#3006—21no—
111#3006—21no—
112#3002—21no—
113#2991C2211yescharacteristic, complemented
114#2974C2211yescharacteristic, complemented
115#2969C2211yescharacteristic, complemented
116#2949—21no—
117C4×AGL(1,ℤ/8)C2211yescharacteristic
118D4×M16C2211yescharacteristic, complemented
119C2×#417—21no—
120#1719C2211yescharacteristic, complemented
121#1718C2211yescharacteristic, complemented
122#1718C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1715C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1708C2211yescharacteristic, complemented
127#1708C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1697C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1695C2211yescharacteristic, complemented
139#1693C2211yescharacteristic, complemented
140#1691C2211yescharacteristic, complemented
141#1685C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1684C2211yescharacteristic, complemented
146#1683C2211yescharacteristic, complemented
147#1682C2211yescharacteristic, complemented
148#1681C2211yescharacteristic, complemented
149#1681C2211yescharacteristic, complemented
150#1680C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1677C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1675C2211yescharacteristic, complemented
155#1673C2211yescharacteristic, complemented
156#1671C2211yescharacteristic, complemented
157#1666C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic, complemented
162#1654C2211yescharacteristic, complemented
163#1654C2211yescharacteristic, complemented
164#1652C2211yescharacteristic, complemented
165#1652C2211yescharacteristic, complemented
166#1651C2211yescharacteristic, complemented
167#1651C2211yescharacteristic, complemented
168#1646C2211yescharacteristic, complemented
169#1646C2211yescharacteristic, complemented
170#1646C2211yescharacteristic, complemented
171#1645C2211yescharacteristic, complemented
172#1645C2211yescharacteristic, complemented
173#1643C2211yescharacteristic, complemented
174#1642C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1637C2211yescharacteristic, complemented
177#1635C2211yescharacteristic
178#1635C2211yescharacteristic, complemented
179#1635C2211yescharacteristic, complemented
180#1635C2211yescharacteristic, complemented
181#1635C2211yescharacteristic, complemented
182#1631C2211yescharacteristic, complemented
183#1629C2211yescharacteristic, complemented
184#1627C2211yescharacteristic, complemented
185#1625C2211yescharacteristic, complemented
186#1624C2211yescharacteristic, complemented
187#1622C2211yescharacteristic, complemented
188#1621C2211yescharacteristic, complemented
189#1621C2211yescharacteristic, complemented
190#1619C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1589C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1586C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×SD16C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1560C2211yescharacteristic, complemented
211#1559C2211yescharacteristic, complemented
212#1553C2211yescharacteristic, complemented
213#1546C2211yescharacteristic, complemented
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic, complemented
217#1478C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C22×#41—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)D411yescharacteristic
225C2×#135—21no—
226C2×#135—21no—
227C22×SD16—21no—
228C22×M16—21no—
229Q82C2311yescharacteristic
230#556—21no—
231#556—21no—
232#556—41no—
233#556C2311yescharacteristic
234#555—21no—
235#555C2311yescharacteristic
236#555C2311yescharacteristic
237#554C2311yescharacteristic
238#553—21no—
239#553—21no—
240#550C2311yescharacteristic
241#550C2311yescharacteristic
242D4×Q8C2311yescharacteristic
243D4×Q8C2311yescharacteristic
244#548—21no—
245#548—21no—
246#547—21no—
247#547—21no—
248#547—21no—
249#547—21no—
250#547—21no—
251#547—41no—
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#546—21no—
258#546—21no—
259#546—41no—
260#546—41no—
261D42—21no—
262D42—21no—
263D42C2311yescharacteristic
264D42C2311yescharacteristic
265#542—21no—
266#542—41no—
267#540—21no—
268#538—41no—
269#533—21no—
270#533C2311yescharacteristic
271#532—21no—
272#532C2311yescharacteristic
273#532C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275#529—21no—
276#529C2311yescharacteristic
277#525—21no—
278#525—21no—
279#525—41no—
280C2×#123—41no—
281C2×C22⋊Q8—21no—
282C2×#121—21no—
283C2×#121—21no—
284#519—21no—
285#518—21no—
286C4×#41C2311yescharacteristic
287C2×C4×D4—21no—
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C22×C4⋊C4—21no—
291#501—21no—
292#500—21no—
293#500C2311yescharacteristic
294#500C2311yescharacteristic
295#498—21no—
296#498C2311yescharacteristic
297#498C2311yescharacteristic
298#498C2311yescharacteristic
299#497—21no—
300#496—21no—
301#493C2311yescharacteristic
302#492C2311yescharacteristic
303#492C2311yescharacteristic
304#492C2311yescharacteristic
305#492C2311yescharacteristic
306#491—21no—
307#489—21no—
308#489—21no—
309#488—21no—
310#487C2311yescharacteristic
311#487C2311yescharacteristic
312#487C2311yescharacteristic
313#487C2311yescharacteristic
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#486—21no—
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#484—21no—
331#484—21no—
332#484—21no—
333#484D411yescharacteristic
334#483—21no—
335#483—21no—
336#483—21no—
337#483—21no—
338#483—21no—
339#483—41no—
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#482—21no—
350#481—21no—
351#481—21no—
352#481—21no—
353#481—21no—
354#481D411yescharacteristic
355#480—21no—
356#480—21no—
357#479—21no—
358#479—21no—
359#478—21no—
360#478—21no—
361#478—21no—
362#478—21no—
363#478—21no—
364#478D411yescharacteristic
365#478D411yescharacteristic
366#477—21no—
367#477C2311yescharacteristic
368#476—21no—
369#476—21no—
370#476—21no—
371#476—21no—
372#476C2311yescharacteristic
373#476C2311yescharacteristic
374#476C2311yescharacteristic
375#476C2311yescharacteristic
376#476C2311yescharacteristic
377#476C2311yescharacteristic
378#476C2311yescharacteristic
379#475—21no—
380#475—41no—
381#475C2311yescharacteristic
382#475C2311yescharacteristic
383#475C2311yescharacteristic
384#474—21no—
385#474—21no—
386#474—21no—
387#474—21no—
388#474C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#474C2311yescharacteristic
393#470—21no—
394#470—21no—
395#469—21no—
396#469—21no—
397#469—21no—
398#469—21no—
399#469—21no—
400#469—21no—
401#468—21no—
402#468—21no—
403#468—21no—
404#468—21no—
405#468—21no—
406#468—21no—
407#468—21no—
408#468—21no—
409#468—21no—
410#468—21no—
411#466—21no—
412#466—21no—
413#466—21no—
414#465—21no—
415#465—21no—
416#465—21no—
417#465—21no—
418#465—21no—
419#465—21no—
420#465—21no—
421#463—21no—
422#463—21no—
423#463—21no—
424#463—21no—
425#463—21no—
426#463—41no—
427#463D411yescharacteristic
428#463D411yescharacteristic
429#462C2311yescharacteristic
430#462C2311yescharacteristic
431#461—21no—
432#461—21no—
433#461C2311yescharacteristic
434#461C2311yescharacteristic
435#461C2311yescharacteristic
436#461C2311yescharacteristic
437#461C2311yescharacteristic
438#461C2311yescharacteristic
439#460—21no—
440#460—21no—
441#460—21no—
442#460C2311yescharacteristic
443#460C2311yescharacteristic
444#459—21no—
445#459C2311yescharacteristic
446#459C2311yescharacteristic
447#459C2311yescharacteristic
448#459C2311yescharacteristic
449#459C2311yescharacteristic
450#459C2311yescharacteristic
451#452—21no—
452#452—21no—
453#452—21no—
454#452—21no—
455#451—21no—
456#450—21no—
457#450—21no—
458#450—21no—
459#450—21no—
460#450—21no—
461#450D411yescharacteristic
462#449—21no—
463#449—21no—
464#449—21no—
465#449—21no—
466#449—21no—
467#449—21no—
468#449—21no—
469#449—21no—
470#449—21no—
471#449—21no—
472#449—21no—
473#449—41no—
474#448—21no—
475#448—21no—
476#448—21no—
477#448—21no—
478#448—21no—
479#448—21no—
480#448—21no—
481#447—21no—
482#447—21no—
483#447—21no—
484#447—21no—
485#447—21no—
486#447D411yescharacteristic
487#446C2311yescharacteristic
488C8×Q8C2311yescharacteristic
489C8×Q8C2311yescharacteristic
490C8×Q8C2311yescharacteristic
491#442—21no—
492#442—21no—
493#442D411yescharacteristic
494#442D411yescharacteristic
495#440—21no—
496#440—21no—
497#440—21no—
498#440—21no—
499#440D411yescharacteristic
500#440D411yescharacteristic
501C4×SD16—21no—
502C4×SD16—21no—
503C4×SD16—21no—
504C4×SD16—21no—
505C4×SD16—21no—
506C4×SD16—21no—
507C4×SD16—21no—
508C4×SD16C2311yescharacteristic
509C4×SD16C2311yescharacteristic
510C4×SD16C2311yescharacteristic
511C4×SD16C2311yescharacteristic
512C4×D8—21no—
513C4×D8—21no—
514C4×D8—21no—
515C4×D8C2311yescharacteristic
516C4×D8C2311yescharacteristic
517C4×D8C2311yescharacteristic
518C4×D8C2311yescharacteristic
519#436—21no—
520#436—21no—
521#436—21no—
522#436C2311yescharacteristic
523#436C2311yescharacteristic
524#436C2311yescharacteristic
525#436C2311yescharacteristic
526#436C2311yescharacteristic
527#436C2311yescharacteristic
528#436C2311yescharacteristic
529#435—21no—
530#435—21no—
531#435—21no—
532#435—21no—
533#435—21no—
534C8×D4C2311yescharacteristic
535C8×D4C2311yescharacteristic
536C8×D4C2311yescharacteristic
537C8×D4C2311yescharacteristic
538C8×D4C2311yescharacteristic
539#433—21no—
540#432C2311yescharacteristic
541#431—21no—
542#431C2311yescharacteristic
543#431C2311yescharacteristic
544#431C2311yescharacteristic
545#428—21no—
546#428—21no—
547#428—21no—
548#428—21no—
549#428D411yescharacteristic
550#427—21no—
551#423—21no—
552#423C2311yescharacteristic
553#423C2311yescharacteristic
554#419—21no—
555#418—21no—
556#418—21no—
557#418—21no—
558#418—21no—
559#418D411yescharacteristic
560#417—21no—
561#417—21no—
562#417—21no—
563#417—21no—
564#417—21no—
565#417—21no—
566#417—21no—
567#417—21no—
568#417—21no—
569#417—21no—
570#417D411yescharacteristic
571#416—21no—
572#416—21no—
573C2×#103—21no—
574C2×#103—21no—
575C2×#102—21no—
576C2×#102—21no—
577#407—21no—
578#407—21no—
579C2×C22⋊C8—21no—
580#405—21no—
581C4×M16C2311yescharacteristic
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
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—41no—
636C2×#41—41no—
637C2×#41—41no—
638C2×#41—41no—
639C2×#41—44no—
640C2×#41—82no—
641C2×#41—82no—
642C2×#41—82no—
643C2×#41C2×D411yescharacteristic
644C22×Q8—21no—
645C22×Q8—21no—
646C22×Q8—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—41no—
652C22×D4—41no—
653C22×D4—41no—
654C22×D4C2×D411yescharacteristic
655C22×D4C2×D411yescharacteristic
656C23×C4—21no—
657C23×C4—21no—
658C23×C4—41no—
659C23×C4—41no—
660AGL(1,ℤ/8)—42no—
661AGL(1,ℤ/8)—82no—
662AGL(1,ℤ/8)—82no—
663AGL(1,ℤ/8)—82no—
664#135—82no—
665#135—82no—
666C2×Q16—21no—
667C2×Q16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—21no—
682C2×SD16—41no—
683C2×SD16—44no—
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—41no—
695C2×D8C2×D411yescharacteristic
696C2×D8C2×D411yescharacteristic
697C2×D8C2×D411yescharacteristic
698C2×D8C2×D411yescharacteristic
699C2×M16—21no—
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—21no—
703C2×M16—21no—
704C2×M16—21no—
705C2×M16—21no—
706C2×M16—21no—
707C2×M16—21no—
708C2×M16—82no—
709C2×M16C2×D411yescharacteristic
710C2×M16C2×D411yescharacteristic
711C22×C8—21no—
712C22×C8—21no—
713C22×C8—21no—
714C22×C8—21no—
715C22×C8—21no—
716C4⋊Q8—21no—
717C4⋊Q8—21no—
718C4⋊Q8—21no—
719C4⋊Q8—21no—
720C4⋊Q8—21no—
721C4⋊Q8—21no—
722C4⋊Q8—21no—
723C4⋊Q8—41no—
724C4⋊Q8C2411yescharacteristic
725C4⋊Q8C2411yescharacteristic
726C4⋊Q8C2411yescharacteristic
727C4⋊Q8C2411yescharacteristic
728C4⋊Q8C2411yescharacteristic
729C4⋊Q8C2411yescharacteristic
730#127—21no—
731#127—21no—
732#127C2411yescharacteristic
733#127C2411yescharacteristic
734#126—21no—
735#126—41no—
736#126—41no—
737#126—41no—
738#126—41no—
739#126—41no—
740#125—21no—
741#125—21no—
742#125C2×D411yescharacteristic
743#124—21no—
744#124—21no—
745#124—21no—
746#124—41no—
747#124—41no—
748#124—41no—
749#124—41no—
750#124—41no—
751#124—41no—
752#124C2×D411yescharacteristic
753#123—21no—
754#123—41no—
755#123—41no—
756#123—41no—
757#123—41no—
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—
769C22⋊Q8—21no—
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—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8C2×D411yescharacteristic
789#121—21no—
790#121—21no—
791#121—21no—
792#121—21no—
793#121—21no—
794#121—21no—
795#121—21no—
796#121—21no—
797#121—21no—
798#121—21no—
799#121—21no—
800#121—21no—
801#121—21no—
802#121—21no—
803#121—21no—
804#121—21no—
805#121—21no—
806#121—21no—
807#121—21no—
808#121—41no—
809#121—41no—
810#121—41no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121—41no—
815#121—41no—
816#121—41no—
817#121—41no—
818#121—41no—
819#121C2×D411yescharacteristic
820#120—41no—
821#120—41no—
822#120—41no—
823#120—41no—
824#120—41no—
825#120—41no—
826C4×Q8—21no—
827C4×Q8—21no—
828C4×Q8—21no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—41no—
832C4×Q8—41no—
833C4×Q8—41no—
834C4×Q8C2×D411yescharacteristic
835C4×Q8C2411yescharacteristic
836C4×Q8C2411yescharacteristic
837C4×D4—21no—
838C4×D4—21no—
839C4×D4—21no—
840C4×D4—21no—
841C4×D4—21no—
842C4×D4—21no—
843C4×D4—21no—
844C4×D4—21no—
845C4×D4—21no—
846C4×D4—21no—
847C4×D4—21no—
848C4×D4—21no—
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—41no—
854C4×D4—41no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4—41no—
859C4×D4—41no—
860C4×D4C2×D411yescharacteristic
861C4×D4C2×D411yescharacteristic
862C4×D4C2×D411yescharacteristic
863C4×D4C2×D411yescharacteristic
864C4×D4C2×D411yescharacteristic
865C4×D4C2411yescharacteristic
866C4×D4C2411yescharacteristic
867C4×D4C2411yescharacteristic
868C4×D4C2411yescharacteristic
869C4×D4C2411yescharacteristic
870C4×D4C2411yescharacteristic
871#117—21no—
872#117—21no—
873#117—21no—
874#117—21no—
875#117—21no—
876#117—21no—
877#117—21no—
878#117—21no—
879#117—41no—
880#117—41no—
881#117C2×D411yescharacteristic
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—41no—
891C2×C4⋊C4—41no—
892C2×C4⋊C4—41no—
893C2×C4⋊C4C2×D411yescharacteristic
894C2×C4⋊C4C2×D411yescharacteristic
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C42—21no—
902C2×C42C2411yescharacteristic
903#107—21no—
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#107C2×D411yescharacteristic
914#107C2×D411yescharacteristic
915#107C2×D411yescharacteristic
916#107C2×D411yescharacteristic
917#106—21no—
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—41no—
930#106—41no—
931#106C2×D411yescharacteristic
932#106C2×D411yescharacteristic
933#106C2×D411yescharacteristic
934#106C2×D411yescharacteristic
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8C2×D411yescharacteristic
943C4⋊C8C2×D411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—41no—
975#103—41no—
976#103—41no—
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#102—21no—
982#102—21no—
983#102—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
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⋊C8—21no—
1039C22⋊C8C2×D411yescharacteristic
1040C22⋊C8C2×D411yescharacteristic
1041#97—21no—
1042#97—21no—
1043#97C2×D411yescharacteristic
1044#97C2×D411yescharacteristic
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—21no—
1057C24—41no—
1058C24—41no—
1059#41—22no—
1060#41—41no—
1061#41—42no—
1062#41—42no—
1063#41—42no—
1064#41—42no—
1065#41—42no—
1066#41—42no—
1067#41—42no—
1068#41—42no—
1069#41—84no—
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—84no—
1080#41—84no—
1081#41—161no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—41no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—41no—
1092C2×Q8—42no—
1093C2×Q8—42no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8—81no—
1097C2×Q8—81no—
1098C2×Q8C22×D411yescharacteristic
1099C2×Q8C22×D411yescharacteristic
1100C2×D4—22no—
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—41no—
1112C2×D4—41no—
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—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—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—84no—
1140C2×D4—84no—
1141C2×D4—162no—
1142C2×D4C22×D411yescharacteristic
1143C2×D4C22×D411yescharacteristic
1144C2×D4C22×D411yescharacteristic
1145C2×D4C22×D411yescharacteristic
1146C2×D4C22×D411yescharacteristic
1147C2×D4C22×D411yescharacteristic
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
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—41no—
1163C22×C4—41no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—81no—
1178C22×C4—81no—
1179C22×C4—84no—
1180C22×C4—84no—
1181C22×C4C22×D411yescharacteristic
1182C22×C4C22×D411yescharacteristic
1183C22×C4H(5,𝔽2)11yescharacteristic
1184Q16—81no—
1185Q16—81no—
1186SD16—22no—
1187SD16—22no—
1188SD16—22no—
1189SD16—41no—
1190SD16—42no—
1191SD16—42no—
1192SD16—42no—
1193SD16—81no—
1194SD16—81no—
1195SD16—81no—
1196SD16—81no—
1197SD16—81no—
1198SD16—81no—
1199SD16—81no—
1200SD16—81no—
1201SD16—81no—
1202SD16—81no—
1203SD16—81no—
1204SD16—161no—
1205D8—22no—
1206D8—41no—
1207D8—41no—
1208D8—41no—
1209D8—42no—
1210D8—42no—
1211D8—81no—
1212D8—81no—
1213D8—81no—
1214D8—81no—
1215D8—161no—
1216M16—41no—
1217M16—41no—
1218M16—42no—
1219M16—81no—
1220M16—81no—
1221M16—81no—
1222M16—81no—
1223M16—81no—
1224M16—81no—
1225M16—81no—
1226M16—81no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—42no—
1238C2×C8—81no—
1239C2×C8—81no—
1240C2×C8—81no—
1241C2×C8—81no—
1242C2×C8C22×D411yescharacteristic
1243C2×C8C22×D411yescharacteristic
1244C2×C8C22×D411yescharacteristic
1245C2×C8C22×D411yescharacteristic
1246C2×C8C22×D411yescharacteristic
1247C2×C8C22×D411yescharacteristic
1248C2×C8C22×D411yescharacteristic
1249C2×C8C22×D411yescharacteristic
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—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
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⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4C22×D411yescharacteristic
1287C4⋊C4C22×D411yescharacteristic
1288C4⋊C4C22×D411yescharacteristic
1289C4⋊C4C22×D411yescharacteristic
1290C4⋊C4C22×D411yescharacteristic
1291C4⋊C4C22×D411yescharacteristic
1292C4⋊C4C22×D411yescharacteristic
1293C4⋊C4C22×D411yescharacteristic
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—21no—
1308C22⋊C4—21no—
1309C22⋊C4—21no—
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—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C42—21no—
1334C42—21no—
1335C42—21no—
1336C42—21no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42C22×D411yescharacteristic
1343C42C22×D411yescharacteristic
1344C42H(5,𝔽2)11yescharacteristic
1345C42C2511yescharacteristic
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—42no—
1353C23—42no—
1354C23—42no—
1355C23—41no—
1356C23—41no—
1357C23—81no—
1358C23—81no—
1359C23—81no—
1360C23—82no—
1361C23—82no—
1362C23—82no—
1363C23—161no—
1364C23—161no—
1365C23—161no—
1366C23D4211yescharacteristic
1367Q8—21no—
1368Q8—21no—
1369Q8—21no—
1370Q8—41no—
1371Q8—41no—
1372Q8—41no—
1373Q8—41no—
1374Q8—41no—
1375Q8—41no—
1376Q8—41no—
1377Q8—41no—
1378Q8—82no—
1379Q8—82no—
1380Q8—81no—
1381Q8—81no—
1382Q8—82no—
1383Q8—161no—
1384Q8#57512yes—
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—82no—
1408D4—81no—
1409D4—81no—
1410D4—81no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—82no—
1415D4—82no—
1416D4—82no—
1417D4—82no—
1418D4—82no—
1419D4—82no—
1420D4—82no—
1421D4—161no—
1422D4—161no—
1423D4—161no—
1424D4—161no—
1425D4—161no—
1426D4—161no—
1427D4#57712yes—
1428C2×C4—21no—
1429C2×C4—21no—
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—41no—
1443C2×C4—42no—
1444C2×C4—42no—
1445C2×C4—42no—
1446C2×C4—42no—
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—41no—
1465C2×C4—81no—
1466C2×C4—81no—
1467C2×C4—81no—
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—82no—
1477C2×C4—82no—
1478C2×C4—82no—
1479C2×C4—161no—
1480C2×C4—161no—
1481C2×C4—161no—
1482C2×C4D4211yescharacteristic
1483C2×C4D4211yescharacteristic
1484C2×C4D4211yescharacteristic
1485C2×C4C23×D411yescharacteristic
1486C2×C4C23×D411yescharacteristic
1487C2×C4C2×H(5,𝔽2)11yescharacteristic
1488C8—21no—
1489C8—21no—
1490C8—21no—
1491C8—21no—
1492C8—21no—
1493C8—21no—
1494C8—21no—
1495C8—21no—
1496C8—41no—
1497C8—41no—
1498C8—41no—
1499C8—41no—
1500C8—41no—
1501C8—41no—
1502C8—41no—
1503C8—41no—
1504C8—41no—
1505C8—41no—
1506C22—21no—
1507C22—21no—
1508C22—22no—
1509C22—21no—
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—41no—
1525C22—41no—
1526C22—41no—
1527C22—84no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—162no—
1535C22—164no—
1536C22—322no—
1537C22C2×D4211yescharacteristic
1538C4—21no—
1539C4—22no—
1540C4—21no—
1541C4—21no—
1542C4—21no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—81no—
1553C4—81no—
1554C4—81no—
1555C4—81no—
1556C4—81no—
1557C4—81no—
1558C4C2×#57511yescharacteristic
1559C4C2×#57711yescharacteristic
1560C4#358511yescharacteristic
1561C4#358511yescharacteristic
1562C2—41no—
1563C2—42no—
1564C2—81no—
1565C2—81no—
1566C2—81no—
1567C2—81no—
1568C2—81no—
1569C2—161no—
1570C2—161no—
1571C2#6106611yescharacteristic
1572C2#6107111yescharacteristic
1573C2#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. #61604C2semidirect
3. #61543C2semidirect
4. #61161C2semidirect
5. #20301C2semidirect
6. #20254C2semidirect
7. #20251C2semidirect
8. #20187C2semidirect
9. #20159C2semidirect
10. #20130C2semidirect
11. #20059C2semidirect
12. #20057C2semidirect
13. #20046C2semidirect
14. #19981C2semidirect
15. #19904C2semidirect
16. #19901C2semidirect
17. #19827C2semidirect
18. #19803C2semidirect
19. #19780C2semidirect
20. #19775C2semidirect
21. #19718C2semidirect
22. #19494C2semidirect
23. #19467C2semidirect
24. #19383C2semidirect
25. #19305C2semidirect
26. #18861C2semidirect
27. #18810C2semidirect
28. #18794C2semidirect
29. #18757C2semidirect
30. #18052C2semidirect
31. #18008C2semidirect
32. #3519C22semidirect
34. D4×#41C22semidirect
36. #3397C22semidirect
37. #3385C22semidirect
38. Q8×SD16C22semidirect
39. Q8×D8C22semidirect
40. #3362C22semidirect
41. #3362C22semidirect
42. #3360C22semidirect
43. #3358C22semidirect
45. #3354C22semidirect
47. #3353C22semidirect
49. #3341C22semidirect
51. #3332C22semidirect
53. #3331C22semidirect
55. #3330C22semidirect
56. #3329C22semidirect
59. #3325C22semidirect
60. #3325C22semidirect
63. #3324C22semidirect
71. #3303C22semidirect
73. #3298C22semidirect
75. #3294C22semidirect
77. #3284C22semidirect
78. D4×SD16C22semidirect
80. #3272C22semidirect
86. #3229C22semidirect
88. #3228C22semidirect
89. #3218C22semidirect
91. #3206C22semidirect
94. #3182C22semidirect
96. #3141C22semidirect
103. #3101C22semidirect
105. #3079C22semidirect
107. #3077C22semidirect
113. #2991C22semidirect
114. #2974C22semidirect
115. #2969C22semidirect
118. D4×M16C22semidirect
120. #1719C22semidirect
121. #1718C22semidirect
122. #1718C22semidirect
123. #1717C22semidirect
124. #1715C22semidirect
125. #1714C22semidirect
126. #1708C22semidirect
127. #1708C22semidirect
128. #1703C22semidirect
129. #1703C22semidirect
130. #1703C22semidirect
131. #1702C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1700C22semidirect
135. #1699C22semidirect
136. #1697C22semidirect
137. #1697C22semidirect
138. #1695C22semidirect
139. #1693C22semidirect
140. #1691C22semidirect
141. #1685C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1684C22semidirect
145. #1684C22semidirect
146. #1683C22semidirect
147. #1682C22semidirect
148. #1681C22semidirect
149. #1681C22semidirect
150. #1680C22semidirect
151. #1679C22semidirect
152. #1677C22semidirect
153. #1677C22semidirect
154. #1675C22semidirect
155. #1673C22semidirect
156. #1671C22semidirect
157. #1666C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
161. #1654C22semidirect
162. #1654C22semidirect
163. #1654C22semidirect
164. #1652C22semidirect
165. #1652C22semidirect
166. #1651C22semidirect
167. #1651C22semidirect
168. #1646C22semidirect
169. #1646C22semidirect
170. #1646C22semidirect
171. #1645C22semidirect
172. #1645C22semidirect
173. #1643C22semidirect
174. #1642C22semidirect
175. #1639C22semidirect
176. #1637C22semidirect
178. #1635C22semidirect
179. #1635C22semidirect
180. #1635C22semidirect
181. #1635C22semidirect
182. #1631C22semidirect
183. #1629C22semidirect
184. #1627C22semidirect
185. #1625C22semidirect
186. #1624C22semidirect
187. #1622C22semidirect
188. #1621C22semidirect
189. #1621C22semidirect
190. #1619C22semidirect
191. #1619C22semidirect
192. #1594C22semidirect
193. #1592C22semidirect
194. #1589C22semidirect
195. #1589C22semidirect
196. #1588C22semidirect
197. #1586C22semidirect
198. #1586C22semidirect
199. #1585C22semidirect
200. #1583C22semidirect
201. #1583C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×SD16C22semidirect
208. #1574C22semidirect
209. #1569C22semidirect
210. #1560C22semidirect
211. #1559C22semidirect
212. #1553C22semidirect
213. #1546C22semidirect
214. #1495C22semidirect
215. #1488C22semidirect
216. #1486C22semidirect
217. #1478C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621512
#616042
#615432
#611612
#203012
#202542
#202512
#201872
#201592
#201302
#200592
#200572
#200462
#199812
#199042
#199012
#198272
#198032
#197802
#197752
#197182
#194942
#194672
#193832
#193052
#188612
#188102
#187942
#187572
#180522
#180082