Finite Group Databasebeta

← #6358708

Subgroups — #6358708

Order 512.

1644 conjugacy classes of subgroups.

The subgroup lattice has 1550 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61887C211yesmaximal, characteristic, complemented
2#61567C211yesmaximal, characteristic, complemented
3#61481C211yesmaximal, characteristic, complemented
4#61439C211yesmaximal, characteristic, complemented
5#19943C211yesmaximal, characteristic, complemented
6#19936C211yesmaximal, characteristic, complemented
7#19922C211yesmaximal, characteristic, complemented
8#19918C211yesmaximal, characteristic, complemented
9#19913C211yesmaximal, characteristic, complemented
10#19912C211yesmaximal, characteristic, complemented
11#19904C211yesmaximal, characteristic, complemented
12#19900C211yesmaximal, characteristic, complemented
13#19876C211yesmaximal, characteristic, complemented
14#19868C211yesmaximal, characteristic, complemented
15#19863C211yesmaximal, characteristic, complemented
16#19855C211yesmaximal, characteristic, complemented
17#19815C211yesmaximal, characteristic, complemented
18#19807C211yesmaximal, characteristic, complemented
19#19764C211yesmaximal, characteristic, complemented
20#19756C211yesmaximal, characteristic, complemented
21#19670C211yesmaximal, characteristic, complemented
22#19401C211yesmaximal, characteristic, complemented
23#19388C211yesmaximal, characteristic, complemented
24#19219C211yesmaximal, characteristic, complemented
25#19159C211yesmaximal, characteristic, complemented
26#18880C211yesmaximal, characteristic, complemented
27#18866C211yesmaximal, characteristic, complemented
28#18806C211yesmaximal, characteristic, complemented
29#18796C211yesmaximal, characteristic, complemented
30#17932C211yesmaximal, characteristic, complemented
31#17855C211yesmaximal, characteristic, complemented
32#3523C2211yescharacteristic, complemented
33#3519C2211yescharacteristic
34#3480C2211yescharacteristic, complemented
35D4×#41C2211yescharacteristic
36#3399C2211yescharacteristic, complemented
37#3395C2211yescharacteristic, complemented
38#3394—21no—
39#3394C2211yescharacteristic, complemented
40#3393—21no—
41#3393C2211yescharacteristic, complemented
42#3392C2211yescharacteristic, complemented
43#3392C2211yescharacteristic, complemented
44#3386C2211yescharacteristic
45#3381C2211yescharacteristic
46#3373C2211yescharacteristic
47#3372C2211yescharacteristic
48#3368C2211yescharacteristic, complemented
49#3368C2211yescharacteristic, complemented
50#3365—21no—
51#3365C2211yescharacteristic, complemented
52#3364—21no—
53#3364C2211yescharacteristic, complemented
54#3359C2211yescharacteristic, complemented
55#3358C2211yescharacteristic, complemented
56#3353C2211yescharacteristic, complemented
57#3345—21no—
58#3340C2211yescharacteristic, complemented
59#3337—21no—
60#3332C2211yescharacteristic, complemented
61#3329C2211yescharacteristic, complemented
62#3324C2211yescharacteristic
63#3324C2211yescharacteristic
64#3320—21no—
65#3318—21no—
66#3310—21no—
67#3308—21no—
68#3305C2211yescharacteristic
69#3303C2211yescharacteristic
70#3301—21no—
71#3299C2211yescharacteristic
72#3297—21no—
73#3295C2211yescharacteristic
74#3287C2211yescharacteristic
75#3284C2211yescharacteristic
76#3282—21no—
77D4×SD16—21no—
78D4×SD16C2211yescharacteristic
79D4×SD16C2211yescharacteristic
80#3280—21no—
81D4×D8C2211yescharacteristic
82#3274C2211yescharacteristic
83#3265—21no—
84#3228C2211yescharacteristic, complemented
85#3212—21no—
86#3212C2211yescharacteristic
87#3212C2211yescharacteristic, complemented
88#3210—21no—
89#3210C2211yescharacteristic, complemented
90#3207C2211yescharacteristic
91#3207C2211yescharacteristic, complemented
92#3191—21no—
93#3188—21no—
94#3174—21no—
95#3171—21no—
96#3169C2211yescharacteristic, complemented
97#3167C2211yescharacteristic, complemented
98#3126—21no—
99#3123—21no—
100#3112C2211yescharacteristic, complemented
101#3110C2211yescharacteristic
102#3107—21no—
103#3107C2211yescharacteristic, complemented
104#3106—21no—
105#3106C2211yescharacteristic
106#3105—21no—
107#3103C2211yescharacteristic, complemented
108#3102—21no—
109#3102C2211yescharacteristic
110#3100C2211yescharacteristic
111#3002—21no—
112C2×#449—21no—
113#2982C2211yescharacteristic, complemented
114#2972C2211yescharacteristic
115#2966C2211yescharacteristic, complemented
116#2965C2211yescharacteristic, complemented
117#2949—21no—
118C4×AGL(1,ℤ/8)—21no—
119C2×C4×SD16C2211yescharacteristic
120#1723C2211yescharacteristic, complemented
121#1721C2211yescharacteristic, complemented
122#1715C2211yescharacteristic, complemented
123#1714C2211yescharacteristic, complemented
124#1711C2211yescharacteristic, complemented
125#1709C2211yescharacteristic, complemented
126#1708C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1702C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1701C2211yescharacteristic, complemented
135#1701C2211yescharacteristic, complemented
136#1692C2211yescharacteristic, complemented
137#1691C2211yescharacteristic, complemented
138#1686C2211yescharacteristic, complemented
139#1685C2211yescharacteristic, complemented
140#1684C2211yescharacteristic, complemented
141#1684C2211yescharacteristic, complemented
142#1681C2211yescharacteristic
143#1681C2211yescharacteristic, complemented
144#1679C2211yescharacteristic
145#1679C2211yescharacteristic, complemented
146#1678C2211yescharacteristic, complemented
147#1678C2211yescharacteristic, complemented
148#1674C2211yescharacteristic, complemented
149#1673C2211yescharacteristic, complemented
150#1669C2211yescharacteristic
151#1669C2211yescharacteristic, complemented
152#1668C2211yescharacteristic, complemented
153#1668C2211yescharacteristic, complemented
154#1668C2211yescharacteristic, complemented
155#1667C2211yescharacteristic, complemented
156#1666C2211yescharacteristic, complemented
157#1666C2211yescharacteristic, complemented
158#1665C2211yescharacteristic
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1653C2211yescharacteristic, complemented
162#1651C2211yescharacteristic
163#1651C2211yescharacteristic, complemented
164#1650C2211yescharacteristic, complemented
165#1649C2211yescharacteristic
166#1648C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1646C2211yescharacteristic, complemented
169#1644C2211yescharacteristic
170#1642C2211yescharacteristic, complemented
171#1641C2211yescharacteristic, complemented
172#1641C2211yescharacteristic, complemented
173#1639C2211yescharacteristic
174#1639C2211yescharacteristic
175#1639C2211yescharacteristic
176#1638C2211yescharacteristic, complemented
177#1636C2211yescharacteristic, complemented
178#1631C2211yescharacteristic, complemented
179#1630C2211yescharacteristic, complemented
180#1628C2211yescharacteristic, complemented
181#1628C2211yescharacteristic, complemented
182#1627C2211yescharacteristic, complemented
183#1626C2211yescharacteristic, complemented
184#1626C2211yescharacteristic, complemented
185#1626C2211yescharacteristic, complemented
186#1624C2211yescharacteristic, complemented
187#1622C2211yescharacteristic
188#1621C2211yescharacteristic, complemented
189#1621C2211yescharacteristic, complemented
190#1620C2211yescharacteristic, complemented
191#1619C2211yescharacteristic
192#1591C2211yescharacteristic, complemented
193#1590C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1584C2211yescharacteristic, complemented
197#1583C2211yescharacteristic, complemented
198#1582C2211yescharacteristic, complemented
199#1581C2211yescharacteristic, complemented
200SD16⋊C8C2211yescharacteristic
201SD16⋊C8C2211yescharacteristic
202SD16⋊C8C2211yescharacteristic, complemented
203SD16⋊C8C2211yescharacteristic, complemented
204C8×SD16C2211yescharacteristic
205C8×SD16C2211yescharacteristic
206C8×SD16C2211yescharacteristic, complemented
207C8×SD16C2211yescharacteristic, complemented
208#1572C2211yescharacteristic, complemented
209#1564C2211yescharacteristic, complemented
210#1553C2211yescharacteristic, complemented
211#1553C2211yescharacteristic, complemented
212#1544C2211yescharacteristic, complemented
213#1543C2211yescharacteristic, complemented
214#1488C2211yescharacteristic, complemented
215#1482C2211yescharacteristic, complemented
216#1479C2211yescharacteristic, complemented
217#1478C2211yescharacteristic
218#1450C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×#135—21no—
222C2×#135—21no—
223C22×SD16—21no—
224C22×SD16—21no—
225C22×SD16D411yescharacteristic
226C22×D8—21no—
227#559—21no—
228#559C2311yescharacteristic
229#557—21no—
230#557C2311yescharacteristic
231#557C2311yescharacteristic
232#557C2311yescharacteristic
233#556—21no—
234#556—21no—
235#556C2311yescharacteristic
236#556C2311yescharacteristic
237#555C2311yescharacteristic
238#554C2311yescharacteristic
239#553—21no—
240#553—21no—
241#553—21no—
242#553—41no—
243#552—21no—
244#552—41no—
245#550C2311yescharacteristic
246#550C2311yescharacteristic
247#550C2311yescharacteristic
248D4×Q8—21no—
249D4×Q8C2311yescharacteristic
250D4×Q8C2311yescharacteristic
251#548—21no—
252#548—21no—
253#547—21no—
254#547C2311yescharacteristic
255#546—21no—
256#546—21no—
257#546—41no—
258#546—41no—
259D42—21no—
260D42—21no—
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263#541—21no—
264#541—41no—
265#540—21no—
266#538—41no—
267#533—21no—
268#533C2311yescharacteristic
269#532—21no—
270#532—21no—
271#532C2311yescharacteristic
272#532C2311yescharacteristic
273#532C2311yescharacteristic
274#529—21no—
275#529—21no—
276#529—41no—
277#529C2311yescharacteristic
278#525—21no—
279#525—21no—
280#525—41no—
281C2×#121—21no—
282#519—21no—
283#518—21no—
284C4×#41—21no—
285C4×#41—21no—
286C4×#41C2311yescharacteristic
287C2×C4×Q8C2311yescharacteristic
288C2×C4×D4—21no—
289C2×C4×D4C2311yescharacteristic
290#501—21no—
291#500C2311yescharacteristic
292#500C2311yescharacteristic
293#499—21no—
294#498C2311yescharacteristic
295#498C2311yescharacteristic
296#496—21no—
297#495—21no—
298#495—21no—
299#495—21no—
300#495—21no—
301#494—21no—
302#494C2311yescharacteristic
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#493C2311yescharacteristic
306#492—21no—
307#492—21no—
308#492C2311yescharacteristic
309#492C2311yescharacteristic
310#492C2311yescharacteristic
311#492C2311yescharacteristic
312#491—21no—
313#490—21no—
314#490—21no—
315#489—21no—
316#488—21no—
317#488—21no—
318#488—21no—
319#488—21no—
320#487—21no—
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#486—21no—
326#486C2311yescharacteristic
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#485—21no—
335#485—21no—
336#485—21no—
337#485—21no—
338#485D411yescharacteristic
339#484—21no—
340#484—21no—
341#484—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—41no—
349#482D411yescharacteristic
350#481—21no—
351#481—21no—
352#481—21no—
353#480—21no—
354#480—21no—
355#479—21no—
356#479—21no—
357#479—21no—
358#479D411yescharacteristic
359#478—21no—
360#478—21no—
361#478—21no—
362#478—21no—
363#478—21no—
364#478—41no—
365#478D411yescharacteristic
366#477—21no—
367#477C2311yescharacteristic
368#477C2311yescharacteristic
369#477C2311yescharacteristic
370#476—21no—
371#476C2311yescharacteristic
372#475—21no—
373#475C2311yescharacteristic
374#475C2311yescharacteristic
375#475C2311yescharacteristic
376#474—21no—
377#474C2311yescharacteristic
378#474C2311yescharacteristic
379#474C2311yescharacteristic
380#474C2311yescharacteristic
381#474C2311yescharacteristic
382#469—21no—
383#469—21no—
384#468—21no—
385#468—21no—
386#468—21no—
387#468—21no—
388#467—21no—
389#466—21no—
390#466—21no—
391#466—21no—
392#466—21no—
393#466—21no—
394#465—21no—
395#465—21no—
396#465—21no—
397#465—21no—
398#465—21no—
399#465—21no—
400#465—21no—
401#465—21no—
402#464—21no—
403#464—21no—
404#464—21no—
405#464—21no—
406#464—21no—
407#464—21no—
408#464—21no—
409#464D411yescharacteristic
410#463—21no—
411#463—21no—
412#463—21no—
413#463—21no—
414#463—21no—
415#463—41no—
416#463D411yescharacteristic
417#462—21no—
418#462—21no—
419#462C2311yescharacteristic
420#462C2311yescharacteristic
421#462C2311yescharacteristic
422#461—21no—
423#461—21no—
424#461—21no—
425#461—21no—
426#461C2311yescharacteristic
427#461C2311yescharacteristic
428#461C2311yescharacteristic
429#461C2311yescharacteristic
430#461C2311yescharacteristic
431#460—21no—
432#460—21no—
433#460—21no—
434#460—21no—
435#460C2311yescharacteristic
436#460C2311yescharacteristic
437#460C2311yescharacteristic
438#460C2311yescharacteristic
439#460C2311yescharacteristic
440#460C2311yescharacteristic
441#460C2311yescharacteristic
442#459—21no—
443#459—21no—
444#459C2311yescharacteristic
445#459C2311yescharacteristic
446#459C2311yescharacteristic
447#459C2311yescharacteristic
448#459C2311yescharacteristic
449#452—21no—
450#452—21no—
451#452—21no—
452#452—21no—
453#452—21no—
454#452—21no—
455#452D411yescharacteristic
456#451—21no—
457#450—21no—
458#450—21no—
459#450—21no—
460#450—21no—
461#450—21no—
462#450—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—21no—
474#449—21no—
475#449—41no—
476#449D411yescharacteristic
477#448—21no—
478#448—21no—
479#448—21no—
480#448—21no—
481#448—21no—
482#447—21no—
483#447—21no—
484#447—21no—
485#447—21no—
486#446C2311yescharacteristic
487#446C2311yescharacteristic
488#446C2311yescharacteristic
489C8×Q8—21no—
490C8×Q8—21no—
491C8×Q8C2311yescharacteristic
492C8×Q8C2311yescharacteristic
493C8×Q8C2311yescharacteristic
494C8×Q8C2311yescharacteristic
495C8×Q8C2311yescharacteristic
496#442—21no—
497#442—21no—
498#440—21no—
499#440—21no—
500#440—21no—
501#440—21no—
502#440—21no—
503#440—21no—
504#440—21no—
505#440—21no—
506C4×Q16—21no—
507C4×Q16—21no—
508C4×Q16—21no—
509C4×Q16—21no—
510C4×Q16C2311yescharacteristic
511C4×SD16—21no—
512C4×SD16—21no—
513C4×SD16—21no—
514C4×SD16—21no—
515C4×SD16—21no—
516C4×SD16—21no—
517C4×SD16—21no—
518C4×SD16—21no—
519C4×SD16—21no—
520C4×SD16—21no—
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16D411yescharacteristic
524C4×SD16D411yescharacteristic
525C4×SD16D411yescharacteristic
526C4×SD16D411yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×SD16C2311yescharacteristic
529C4×SD16C2311yescharacteristic
530C4×SD16C2311yescharacteristic
531C4×SD16C2311yescharacteristic
532C4×SD16C2311yescharacteristic
533C4×D8—21no—
534C4×D8—21no—
535C4×D8—21no—
536C4×D8—21no—
537C4×D8—21no—
538C4×D8—21no—
539C4×D8C2311yescharacteristic
540#436C2311yescharacteristic
541#436C2311yescharacteristic
542#436C2311yescharacteristic
543#435—21no—
544#435—21no—
545#435—21no—
546C8×D4—21no—
547C8×D4—21no—
548C8×D4—21no—
549C8×D4C2311yescharacteristic
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552C8×D4C2311yescharacteristic
553C8×D4C2311yescharacteristic
554#433—21no—
555#432C2311yescharacteristic
556#431—21no—
557#431—21no—
558#431—21no—
559#431C2311yescharacteristic
560#431C2311yescharacteristic
561#431C2311yescharacteristic
562#431C2311yescharacteristic
563#431C2311yescharacteristic
564#428—21no—
565#427—21no—
566C2×#106D411yescharacteristic
567#419—21no—
568#418—21no—
569#418—21no—
570#417—21no—
571#416—21no—
572#416—21no—
573C2×#103—21no—
574C2×#103D411yescharacteristic
575C2×#102—21no—
576C2×#102D411yescharacteristic
577C2×C22⋊C8—21no—
578C2×C22⋊C8—21no—
579#405—21no—
580C4×M16—21no—
581C2×C4×C8C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612Q8⋊C8C2311yescharacteristic
613Q8⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624C82C2311yescharacteristic
625C82C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—41no—
634C2×#41—41no—
635C2×#41—82no—
636C2×#41—82no—
637C2×#41C2×D411yescharacteristic
638C22×Q8—21no—
639C22×Q8—21no—
640C22×Q8C2×D411yescharacteristic
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—41no—
646C22×D4—41no—
647C22×D4C2×D411yescharacteristic
648C23×C4—21no—
649C23×C4—41no—
650AGL(1,ℤ/8)—44no—
651#135—82no—
652#135—82no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16—21no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16C2×D411yescharacteristic
659C2×SD16—24no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—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—41no—
679C2×SD16—44no—
680C2×SD16—82no—
681C2×SD16C2×D411yescharacteristic
682C2×SD16C2×D411yescharacteristic
683C2×SD16C2×D411yescharacteristic
684C2×SD16C2×D411yescharacteristic
685C2×SD16C2×D411yescharacteristic
686C2×SD16C2×D411yescharacteristic
687C2×D8—21no—
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—21no—
695C2×D8—21no—
696C2×D8—41no—
697C2×D8—82no—
698C2×D8C2×D411yescharacteristic
699C2×M16—21no—
700C2×M16—21no—
701C2×M16—21no—
702C22×C8—21no—
703C22×C8—21no—
704C22×C8—21no—
705C22×C8—21no—
706C22×C8—21no—
707C22×C8C2×D411yescharacteristic
708C22×C8C2×D411yescharacteristic
709C4⋊Q8—21no—
710C4⋊Q8—21no—
711C4⋊Q8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—21no—
714C4⋊Q8—41no—
715C4⋊Q8C2411yescharacteristic
716C4⋊Q8C2411yescharacteristic
717C4⋊Q8C2411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720#127—21no—
721#127—21no—
722#127—21no—
723#127C2411yescharacteristic
724#127C2411yescharacteristic
725#127C2411yescharacteristic
726#126—21no—
727#126—41no—
728#126—41no—
729#126—41no—
730#126—41no—
731#126—41no—
732#126—41no—
733#126—41no—
734#126—41no—
735#125—21no—
736#125—21no—
737#125—21no—
738#125—21no—
739#125—21no—
740#125—41no—
741#125—41no—
742#125—41no—
743#125—41no—
744#125—41no—
745#125—41no—
746#125C2×D411yescharacteristic
747#124—21no—
748#124—21no—
749#124—21no—
750#124—21no—
751#124—21no—
752#124—21no—
753#124—21no—
754#124—41no—
755#124—41no—
756#124—41no—
757#124C2×D411yescharacteristic
758#123—21no—
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—41no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8C2×D411yescharacteristic
785#121—21no—
786#121—21no—
787#121—21no—
788#121—21no—
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—41no—
802#121—41no—
803#121—41no—
804#121—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#121—41no—
809#121—41no—
810#121—41no—
811#121—41no—
812#121C2×D411yescharacteristic
813#120—41no—
814#120—41no—
815#120—41no—
816#120—41no—
817#120—41no—
818#120—41no—
819C4×Q8—21no—
820C4×Q8—21no—
821C4×Q8—21no—
822C4×Q8—21no—
823C4×Q8—21no—
824C4×Q8—21no—
825C4×Q8—21no—
826C4×Q8—21no—
827C4×Q8—21no—
828C4×Q8—21no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—41no—
832C4×Q8—41no—
833C4×Q8C2×D411yescharacteristic
834C4×Q8C2×D411yescharacteristic
835C4×Q8C2×D411yescharacteristic
836C4×Q8C2411yescharacteristic
837C4×Q8C2411yescharacteristic
838C4×Q8C2411yescharacteristic
839C4×Q8C2411yescharacteristic
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—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4—41no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4—41no—
866C4×D4—41no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4—41no—
871C4×D4C2×D411yescharacteristic
872C4×D4C2×D411yescharacteristic
873C4×D4C2×D411yescharacteristic
874C4×D4C2411yescharacteristic
875C4×D4C2411yescharacteristic
876C4×D4C2411yescharacteristic
877C4×D4C2411yescharacteristic
878#117—21no—
879#117—21no—
880#117—21no—
881#117—21no—
882#117—21no—
883#117—21no—
884#117—21no—
885#117—41no—
886#117—41no—
887#117—41no—
888#117—41no—
889#117—41no—
890#117C2×D411yescharacteristic
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4C2×D411yescharacteristic
895C2×C4⋊C4C2×D411yescharacteristic
896C2×C22⋊C4—21no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C42—21no—
901C2×C42—21no—
902C2×C42—41no—
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#107—41no—
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—41no—
924#106C2×D411yescharacteristic
925#106C2×D411yescharacteristic
926#106C2×D411yescharacteristic
927#106C2×D411yescharacteristic
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930C4⋊C8—21no—
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8C2×D411yescharacteristic
940C4⋊C8C2×D411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949#103—21no—
950#103—21no—
951#103—21no—
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—41no—
970#103C2×D411yescharacteristic
971#103C2×D411yescharacteristic
972#103C2×D411yescharacteristic
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#102—21no—
979#102—21no—
980#102—21no—
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—41no—
1007#102—41no—
1008#102—41no—
1009#102C2×D411yescharacteristic
1010#102C2×D411yescharacteristic
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017C22⋊C8—21no—
1018C22⋊C8—21no—
1019C22⋊C8—21no—
1020C22⋊C8—21no—
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8C2×D411yescharacteristic
1031C22⋊C8C2×D411yescharacteristic
1032#97—21no—
1033#97—21no—
1034#97—21no—
1035#97—21no—
1036C4×C8—21no—
1037C4×C8—21no—
1038C4×C8—21no—
1039C4×C8—21no—
1040C4×C8—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8C2×D411yescharacteristic
1045C4×C8C2×D411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C24—21no—
1053C24—41no—
1054C24—41no—
1055#41—41no—
1056#41—41no—
1057#41—42no—
1058#41—42no—
1059#41—42no—
1060#41—81no—
1061#41—81no—
1062#41—81no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—84no—
1068#41—81no—
1069#41—81no—
1070#41—84no—
1071#41—161no—
1072C2×Q8—21no—
1073C2×Q8—22no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—41no—
1080C2×Q8—41no—
1081C2×Q8—41no—
1082C2×Q8—42no—
1083C2×Q8—42no—
1084C2×Q8—81no—
1085C2×Q8—81no—
1086C2×Q8C22×D411yescharacteristic
1087C2×Q8C22×D411yescharacteristic
1088C2×Q8C22×D411yescharacteristic
1089C2×Q8C22×D411yescharacteristic
1090C2×D4—22no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—84no—
1128C2×D4—162no—
1129C2×D4C22×D411yescharacteristic
1130C2×D4C22×D411yescharacteristic
1131C2×D4C22×D411yescharacteristic
1132C2×D4C22×D411yescharacteristic
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—81no—
1156C22×C4—81no—
1157C22×C4—84no—
1158C22×C4C22×D411yescharacteristic
1159C22×C4C22×D411yescharacteristic
1160C22×C4H(5,𝔽2)11yescharacteristic
1161Q16—41no—
1162Q16—81no—
1163Q16—81no—
1164Q16—81no—
1165Q16—81no—
1166Q16—81no—
1167SD16—22no—
1168SD16—22no—
1169SD16—22no—
1170SD16—41no—
1171SD16—41no—
1172SD16—42no—
1173SD16—42no—
1174SD16—42no—
1175SD16—42no—
1176SD16—42no—
1177SD16—81no—
1178SD16—81no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182SD16—81no—
1183SD16—81no—
1184SD16—81no—
1185SD16—81no—
1186SD16—81no—
1187SD16—81no—
1188SD16—81no—
1189SD16—81no—
1190SD16—161no—
1191SD16#13514yescomplemented
1192D8—41no—
1193D8—42no—
1194D8—42no—
1195D8—42no—
1196D8—81no—
1197D8—81no—
1198D8—81no—
1199D8—81no—
1200D8—81no—
1201D8—81no—
1202D8—161no—
1203M16—42no—
1204M16—81no—
1205M16—81no—
1206C2×C8—22no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—41no—
1218C2×C8—42no—
1219C2×C8—81no—
1220C2×C8—81no—
1221C2×C8—81no—
1222C2×C8—81no—
1223C2×C8C22×D411yescharacteristic
1224C2×C8C22×D411yescharacteristic
1225C2×C8C22×D411yescharacteristic
1226C2×C8C22×D411yescharacteristic
1227C2×C8C22×D411yescharacteristic
1228C2×C8C22×D411yescharacteristic
1229C2×C8C22×D411yescharacteristic
1230C2×C8C22×D411yescharacteristic
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
1234C4⋊C4—21no—
1235C4⋊C4—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4C22×D411yescharacteristic
1272C4⋊C4C22×D411yescharacteristic
1273C4⋊C4C22×D411yescharacteristic
1274C4⋊C4C22×D411yescharacteristic
1275C4⋊C4C22×D411yescharacteristic
1276C4⋊C4C22×D411yescharacteristic
1277C4⋊C4C22×D411yescharacteristic
1278C4⋊C4C22×D411yescharacteristic
1279C22⋊C4—21no—
1280C22⋊C4—21no—
1281C22⋊C4—21no—
1282C22⋊C4—21no—
1283C22⋊C4—21no—
1284C22⋊C4—21no—
1285C22⋊C4—21no—
1286C22⋊C4—21no—
1287C22⋊C4—21no—
1288C22⋊C4—21no—
1289C22⋊C4—21no—
1290C22⋊C4—21no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
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—
1316C42—21no—
1317C42—21no—
1318C42—21no—
1319C42—21no—
1320C42—21no—
1321C42—21no—
1322C42—21no—
1323C42—21no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42—41no—
1330C42—41no—
1331C42C22×D411yescharacteristic
1332C42C22×D411yescharacteristic
1333C42H(5,𝔽2)11yescharacteristic
1334C42C2511yescharacteristic
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—42no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—81no—
1344C23—81no—
1345C23—82no—
1346C23—82no—
1347C23—82no—
1348C23—161no—
1349C23—161no—
1350C23—161no—
1351C23D4211yescharacteristic
1352Q8—21no—
1353Q8—21no—
1354Q8—21no—
1355Q8—21no—
1356Q8—21no—
1357Q8—21no—
1358Q8—21no—
1359Q8—42no—
1360Q8—41no—
1361Q8—41no—
1362Q8—41no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—82no—
1369Q8—81no—
1370Q8—82no—
1371Q8C2×#13512yes—
1372D4—21no—
1373D4—21no—
1374D4—21no—
1375D4—21no—
1376D4—21no—
1377D4—21no—
1378D4—21no—
1379D4—42no—
1380D4—42no—
1381D4—42no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—82no—
1395D4—81no—
1396D4—81no—
1397D4—81no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—161no—
1407D4—161no—
1408D4—161no—
1409D4—161no—
1410D4—161no—
1411D4—161no—
1412D4C2×#13512yes—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—41no—
1430C2×C4—42no—
1431C2×C4—42no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—81no—
1446C2×C4—81no—
1447C2×C4—81no—
1448C2×C4—82no—
1449C2×C4—82no—
1450C2×C4—82no—
1451C2×C4—82no—
1452C2×C4—81no—
1453C2×C4—81no—
1454C2×C4—82no—
1455C2×C4—82no—
1456C2×C4—82no—
1457C2×C4—161no—
1458C2×C4—161no—
1459C2×C4—161no—
1460C2×C4—161no—
1461C2×C4D4211yescharacteristic
1462C2×C4D4211yescharacteristic
1463C2×C4D4211yescharacteristic
1464C2×C4C23×D411yescharacteristic
1465C2×C4C23×D411yescharacteristic
1466C2×C4C2×H(5,𝔽2)11yescharacteristic
1467C8—21no—
1468C8—21no—
1469C8—21no—
1470C8—21no—
1471C8—21no—
1472C8—21no—
1473C8—21no—
1474C8—41no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C8C2×#13512yes—
1485C22—21no—
1486C22—22no—
1487C22—21no—
1488C22—21no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—81no—
1507C22—81no—
1508C22—81no—
1509C22—162no—
1510C22—164no—
1511C22—322no—
1512C22C2×D4211yescharacteristic
1513C4—21no—
1514C4—22no—
1515C4—21no—
1516C4—21no—
1517C4—21no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C4—81no—
1533C4—81no—
1534C4C22×#13511yescharacteristic
1535C4#358411yescharacteristic
1536C4#358511yescharacteristic
1537C4#358511yescharacteristic
1538C2—41no—
1539C2—42no—
1540C2—81no—
1541C2—81no—
1542C2—81no—
1543C2—161no—
1544C2—161no—
1545C2—161no—
1546C2D4×#13511yescharacteristic
1547C2#6105911yescharacteristic
1548C2#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. #61887C2semidirect
2. #61567C2semidirect
3. #61481C2semidirect
4. #61439C2semidirect
5. #19943C2semidirect
6. #19936C2semidirect
7. #19922C2semidirect
8. #19918C2semidirect
9. #19913C2semidirect
10. #19912C2semidirect
11. #19904C2semidirect
12. #19900C2semidirect
13. #19876C2semidirect
14. #19868C2semidirect
15. #19863C2semidirect
16. #19855C2semidirect
17. #19815C2semidirect
18. #19807C2semidirect
19. #19764C2semidirect
20. #19756C2semidirect
21. #19670C2semidirect
22. #19401C2semidirect
23. #19388C2semidirect
24. #19219C2semidirect
25. #19159C2semidirect
26. #18880C2semidirect
27. #18866C2semidirect
28. #18806C2semidirect
29. #18796C2semidirect
30. #17932C2semidirect
31. #17855C2semidirect
32. #3523C22semidirect
34. #3480C22semidirect
36. #3399C22semidirect
37. #3395C22semidirect
39. #3394C22semidirect
41. #3393C22semidirect
42. #3392C22semidirect
43. #3392C22semidirect
48. #3368C22semidirect
49. #3368C22semidirect
51. #3365C22semidirect
53. #3364C22semidirect
54. #3359C22semidirect
55. #3358C22semidirect
56. #3353C22semidirect
58. #3340C22semidirect
60. #3332C22semidirect
61. #3329C22semidirect
84. #3228C22semidirect
87. #3212C22semidirect
89. #3210C22semidirect
91. #3207C22semidirect
96. #3169C22semidirect
97. #3167C22semidirect
100. #3112C22semidirect
103. #3107C22semidirect
107. #3103C22semidirect
113. #2982C22semidirect
115. #2966C22semidirect
116. #2965C22semidirect
120. #1723C22semidirect
121. #1721C22semidirect
122. #1715C22semidirect
123. #1714C22semidirect
124. #1711C22semidirect
125. #1709C22semidirect
126. #1708C22semidirect
127. #1706C22semidirect
128. #1704C22semidirect
129. #1703C22semidirect
130. #1702C22semidirect
131. #1702C22semidirect
132. #1702C22semidirect
133. #1701C22semidirect
134. #1701C22semidirect
135. #1701C22semidirect
136. #1692C22semidirect
137. #1691C22semidirect
138. #1686C22semidirect
139. #1685C22semidirect
140. #1684C22semidirect
141. #1684C22semidirect
143. #1681C22semidirect
145. #1679C22semidirect
146. #1678C22semidirect
147. #1678C22semidirect
148. #1674C22semidirect
149. #1673C22semidirect
151. #1669C22semidirect
152. #1668C22semidirect
153. #1668C22semidirect
154. #1668C22semidirect
155. #1667C22semidirect
156. #1666C22semidirect
157. #1666C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1653C22semidirect
163. #1651C22semidirect
164. #1650C22semidirect
166. #1648C22semidirect
167. #1647C22semidirect
168. #1646C22semidirect
170. #1642C22semidirect
171. #1641C22semidirect
172. #1641C22semidirect
176. #1638C22semidirect
177. #1636C22semidirect
178. #1631C22semidirect
179. #1630C22semidirect
180. #1628C22semidirect
181. #1628C22semidirect
182. #1627C22semidirect
183. #1626C22semidirect
184. #1626C22semidirect
185. #1626C22semidirect
186. #1624C22semidirect
188. #1621C22semidirect
189. #1621C22semidirect
190. #1620C22semidirect
192. #1591C22semidirect
193. #1590C22semidirect
194. #1590C22semidirect
195. #1589C22semidirect
196. #1584C22semidirect
197. #1583C22semidirect
198. #1582C22semidirect
199. #1581C22semidirect
202. SD16⋊C8C22semidirect
203. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×SD16C22semidirect
208. #1572C22semidirect
209. #1564C22semidirect
210. #1553C22semidirect
211. #1553C22semidirect
212. #1544C22semidirect
213. #1543C22semidirect
214. #1488C22semidirect
215. #1482C22semidirect
216. #1479C22semidirect
218. #1450C22semidirect
1191. SD16#135semidirect

Maximal subgroups

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

subgroupindex
#618872
#615672
#614812
#614392
#199432
#199362
#199222
#199182
#199132
#199122
#199042
#199002
#198762
#198682
#198632
#198552
#198152
#198072
#197642
#197562
#196702
#194012
#193882
#192192
#191592
#188802
#188662
#188062
#187962
#179322
#178552