Finite Group Databasebeta

← #6363975

Subgroups — #6363975

Order 512.

1634 conjugacy classes of subgroups.

The subgroup lattice has 1549 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62096C211yesmaximal, characteristic, complemented
2#62039C211yesmaximal, characteristic, complemented
3#61860C211yesmaximal, characteristic, complemented
4#61590C211yesmaximal, characteristic, complemented
5#20201C211yesmaximal, characteristic, complemented
6#20195C211yesmaximal, characteristic, complemented
7#20189C211yesmaximal, characteristic, complemented
8#20175C211yesmaximal, characteristic, complemented
9#20107C211yesmaximal, characteristic, complemented
10#20106C211yesmaximal, characteristic, complemented
11#20084C211yesmaximal, characteristic, complemented
12#20082C211yesmaximal, characteristic, complemented
13#19925C211yesmaximal, characteristic, complemented
14#19911C211yesmaximal, characteristic, complemented
15#19897C211yesmaximal, characteristic, complemented
16#19890C211yesmaximal, characteristic, complemented
17#19828C211yesmaximal, characteristic, complemented
18#19826C211yesmaximal, characteristic, complemented
19#19807C211yesmaximal, characteristic, complemented
20#19804C211yesmaximal, characteristic, complemented
21#19721C211yesmaximal, characteristic, complemented
22#19544C211yesmaximal, characteristic, complemented
23#19526C211yesmaximal, characteristic, complemented
24#19427C211yesmaximal, characteristic, complemented
25#19412C211yesmaximal, characteristic, complemented
26#18742C211yesmaximal, characteristic, complemented
27#18567C211yesmaximal, characteristic, complemented
28#18563C211yesmaximal, characteristic, complemented
29#18554C211yesmaximal, characteristic, complemented
30#17952C211yesmaximal, characteristic, complemented
31#17926C211yesmaximal, characteristic, complemented
32#3554C2211yescharacteristic, complemented
33#3519C2211yescharacteristic
34#3503C2211yescharacteristic, complemented
35D4×#41C2211yescharacteristic
36#3399C2211yescharacteristic
37#3392C2211yescharacteristic
38#3388—21no—
39#3387C2211yescharacteristic, complemented
40#3384—21no—
41#3384C2211yescharacteristic, complemented
42#3381C2211yescharacteristic, complemented
43Q8×SD16C2211yescharacteristic, complemented
44Q8×SD16C2211yescharacteristic, complemented
45Q8×SD16C2211yescharacteristic, complemented
46#3375C2211yescharacteristic, complemented
47#3373—21no—
48#3372C2211yescharacteristic, complemented
49#3371—21no—
50#3366C2211yescharacteristic, complemented
51#3362C2211yescharacteristic
52#3362C2211yescharacteristic
53#3362C2211yescharacteristic, complemented
54#3361C2211yescharacteristic, complemented
55#3361C2211yescharacteristic, complemented
56#3335—21no—
57#3335—21no—
58#3335C2211yescharacteristic
59#3335C2211yescharacteristic
60#3333C2211yescharacteristic
61#3331C2211yescharacteristic
62#3329C2211yescharacteristic
63#3329C2211yescharacteristic
64#3326—21no—
65#3326—21no—
66#3325C2211yescharacteristic
67#3322—21no—
68#3307—21no—
69#3305C2211yescharacteristic
70#3295—21no—
71#3295—21no—
72#3295C2211yescharacteristic, complemented
73#3295C2211yescharacteristic, complemented
74D4×SD16C2211yescharacteristic, complemented
75#3278C2211yescharacteristic
76#3275—21no—
77#3274C2211yescharacteristic
78#3274C2211yescharacteristic
79#3274C2211yescharacteristic, complemented
80#3273—21no—
81#3272—21no—
82#3272C2211yescharacteristic
83#3265—21no—
84#3257—21no—
85#3254C2211yescharacteristic, complemented
86#3246—21no—
87#3246C2211yescharacteristic, complemented
88#3244—21no—
89#3241—21no—
90#3238C2211yescharacteristic, complemented
91#3227—21no—
92#3227C2211yescharacteristic, complemented
93#3227C2211yescharacteristic, complemented
94#3221—21no—
95#3212C2211yescharacteristic
96#3207C2211yescharacteristic
97#3207C2211yescharacteristic, complemented
98#3197—21no—
99#3194—21no—
100#3184C2211yescharacteristic, complemented
101#3152C2211yescharacteristic, complemented
102#3125—21no—
103#3119—21no—
104#3118—21no—
105#3115C2211yescharacteristic, complemented
106#3106C2211yescharacteristic
107#3102C2211yescharacteristic
108#3101—21no—
109#3101C2211yescharacteristic
110C2×#476—21no—
111C2×#476C2211yescharacteristic
112#3042—21no—
113#3036C2211yescharacteristic
114#3006—21no—
115#3005—21no—
116#2993C2211yescharacteristic, complemented
117#2988C2211yescharacteristic, complemented
118#2985C2211yescharacteristic, complemented
119#2975C2211yescharacteristic
120#1721C2211yescharacteristic, complemented
121#1720C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1716C2211yescharacteristic, complemented
124#1715C2211yescharacteristic, complemented
125#1715C2211yescharacteristic, complemented
126#1709C2211yescharacteristic, complemented
127#1705C2211yescharacteristic, complemented
128#1698C2211yescharacteristic, complemented
129#1698C2211yescharacteristic, complemented
130#1698C2211yescharacteristic, complemented
131#1697C2211yescharacteristic, complemented
132#1697C2211yescharacteristic, complemented
133#1697C2211yescharacteristic, complemented
134#1697C2211yescharacteristic, complemented
135#1697C2211yescharacteristic, complemented
136#1692C2211yescharacteristic, complemented
137#1691C2211yescharacteristic, complemented
138#1691C2211yescharacteristic, complemented
139#1691C2211yescharacteristic, complemented
140#1691C2211yescharacteristic, complemented
141#1691C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1686C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1684C2211yescharacteristic, complemented
146#1684C2211yescharacteristic, complemented
147#1683C2211yescharacteristic, complemented
148#1678C2211yescharacteristic, complemented
149#1678C2211yescharacteristic, complemented
150#1677C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1672C2211yescharacteristic, complemented
153#1671C2211yescharacteristic, complemented
154#1668C2211yescharacteristic, complemented
155#1668C2211yescharacteristic, complemented
156#1668C2211yescharacteristic, complemented
157#1667C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1653C2211yescharacteristic, complemented
162#1651C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1642C2211yescharacteristic
165#1642C2211yescharacteristic, complemented
166#1640C2211yescharacteristic, complemented
167#1639C2211yescharacteristic, complemented
168#1634C2211yescharacteristic
169#1634C2211yescharacteristic
170#1633C2211yescharacteristic, complemented
171#1633C2211yescharacteristic, complemented
172#1632C2211yescharacteristic, complemented
173#1632C2211yescharacteristic, complemented
174#1632C2211yescharacteristic, complemented
175#1632C2211yescharacteristic, complemented
176#1631C2211yescharacteristic
177#1631C2211yescharacteristic
178#1629C2211yescharacteristic, complemented
179#1629C2211yescharacteristic, complemented
180#1627C2211yescharacteristic, complemented
181#1627C2211yescharacteristic, complemented
182#1626C2211yescharacteristic, complemented
183#1625C2211yescharacteristic
184#1623C2211yescharacteristic, complemented
185#1623C2211yescharacteristic, complemented
186#1622C2211yescharacteristic, complemented
187#1622C2211yescharacteristic, complemented
188#1621C2211yescharacteristic
189#1621C2211yescharacteristic, complemented
190#1620C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1592C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1588C2211yescharacteristic, complemented
198#1588C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1584C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1583C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204SD16⋊C8C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×Q16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1572C2211yescharacteristic, complemented
209#1571C2211yescharacteristic, complemented
210#1557C2211yescharacteristic, complemented
211#1551C2211yescharacteristic, complemented
212#1548C2211yescharacteristic, complemented
213#1540C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1489C2211yescharacteristic, complemented
216#1485C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—21no—
221C2×#137—41no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×AGL(1,ℤ/8)—21no—
226C2×AGL(1,ℤ/8)—21no—
227C22×SD16—21no—
228#562—41no—
229#559—21no—
230#559C2311yescharacteristic
231Q82C2311yescharacteristic
232Q82C2311yescharacteristic
233#557—21no—
234#557C2311yescharacteristic
235#555C2311yescharacteristic
236#554—21no—
237#554—21no—
238#554—21no—
239#554C2311yescharacteristic
240#554C2311yescharacteristic
241#554C2311yescharacteristic
242#553—21no—
243#553—21no—
244#550C2311yescharacteristic
245#550C2311yescharacteristic
246#550C2311yescharacteristic
247D4×Q8—21no—
248D4×Q8—41no—
249D4×Q8C2311yescharacteristic
250D4×Q8C2311yescharacteristic
251#548—21no—
252#548—21no—
253#547—21no—
254#547—21no—
255#547C2311yescharacteristic
256#546—21no—
257#546—21no—
258#546—41no—
259#546—41no—
260D42—21no—
261D42—21no—
262D42C2311yescharacteristic
263D42C2311yescharacteristic
264#544—21no—
265#544—41no—
266#542—21no—
267#542—21no—
268#540—21no—
269#540—21no—
270#539—41no—
271#538—41no—
272#536—21no—
273#533—21no—
274#533C2311yescharacteristic
275#532—21no—
276#532C2311yescharacteristic
277#532C2311yescharacteristic
278#532C2311yescharacteristic
279C2×C4⋊Q8—21no—
280C2×C4⋊Q8C2311yescharacteristic
281#529C2311yescharacteristic
282#525—21no—
283#525—21no—
284#525—41no—
285C2×#121—21no—
286#520—21no—
287#518—21no—
288C4×#41C2311yescharacteristic
289C2×C4×D4—21no—
290C2×C4×D4C2311yescharacteristic
291#501—21no—
292#501—21no—
293#501—21no—
294#499—21no—
295#498—21no—
296#498—21no—
297#498—21no—
298#498C2311yescharacteristic
299#498C2311yescharacteristic
300#498C2311yescharacteristic
301#498C2311yescharacteristic
302#498C2311yescharacteristic
303#497—41no—
304#496—21no—
305#495—21no—
306#494C2311yescharacteristic
307#494C2311yescharacteristic
308#493C2311yescharacteristic
309#493C2311yescharacteristic
310#493C2311yescharacteristic
311#492—21no—
312#492C2311yescharacteristic
313#492C2311yescharacteristic
314#492C2311yescharacteristic
315#492C2311yescharacteristic
316#491—21no—
317#490—21no—
318#489—21no—
319#489—21no—
320#488—21no—
321#488—21no—
322#488—21no—
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#486—21no—
326#486—21no—
327#486—21no—
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#486C2311yescharacteristic
336#485—21no—
337#485—21no—
338#485D411yescharacteristic
339#483—21no—
340#483—21no—
341#483—21no—
342#483—21no—
343#483D411yescharacteristic
344#483D411yescharacteristic
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#482D411yescharacteristic
350#481—21no—
351#481—21no—
352#481—21no—
353#481—21no—
354#481—21no—
355#481—21no—
356#481—21no—
357#481—21no—
358#480—21no—
359#480—21no—
360#479—21no—
361#479—21no—
362#479—21no—
363#479D411yescharacteristic
364#478—21no—
365#478—21no—
366#478—21no—
367#478—21no—
368#478—21no—
369#478D411yescharacteristic
370#477C2311yescharacteristic
371#477C2311yescharacteristic
372#477C2311yescharacteristic
373#477C2311yescharacteristic
374#477C2311yescharacteristic
375#476—21no—
376#476—21no—
377#476—21no—
378#476—21no—
379#476—21no—
380#476—21no—
381#476—21no—
382#476—21no—
383#476—21no—
384#476—21no—
385#476—21no—
386#476—21no—
387#476—21no—
388#476—21no—
389#476D411yescharacteristic
390#476D411yescharacteristic
391#476C2311yescharacteristic
392#476C2311yescharacteristic
393#476C2311yescharacteristic
394#476C2311yescharacteristic
395#476C2311yescharacteristic
396#476C2311yescharacteristic
397#476C2311yescharacteristic
398#475—21no—
399#475—21no—
400#475—21no—
401#475—21no—
402#475C2311yescharacteristic
403#475C2311yescharacteristic
404#475C2311yescharacteristic
405#474—21no—
406#474—21no—
407#474C2311yescharacteristic
408#470—21no—
409#469—21no—
410#469—21no—
411#469—21no—
412#469—21no—
413#469—41no—
414#468—21no—
415#468—21no—
416#468—21no—
417#468—21no—
418#468—21no—
419#468—21no—
420#468—21no—
421#466—21no—
422#465—21no—
423#465—21no—
424#465—21no—
425#465—21no—
426#465—21no—
427#465—21no—
428#465—21no—
429#464—21no—
430#464D411yescharacteristic
431#463—21no—
432#463—21no—
433#463—21no—
434#463—21no—
435#463—21no—
436#463—21no—
437#463—21no—
438#463—21no—
439#463—21no—
440#463D411yescharacteristic
441#462C2311yescharacteristic
442#461—21no—
443#461—21no—
444#461—21no—
445#461—21no—
446#461D411yescharacteristic
447#461D411yescharacteristic
448#461C2311yescharacteristic
449#461C2311yescharacteristic
450#461C2311yescharacteristic
451#460—21no—
452#460—21no—
453#460—21no—
454#460—21no—
455#460C2311yescharacteristic
456#460C2311yescharacteristic
457#460C2311yescharacteristic
458#460C2311yescharacteristic
459#460C2311yescharacteristic
460#460C2311yescharacteristic
461#460C2311yescharacteristic
462#459—21no—
463#459—21no—
464#459C2311yescharacteristic
465#459C2311yescharacteristic
466#459C2311yescharacteristic
467#459C2311yescharacteristic
468#459C2311yescharacteristic
469#452—21no—
470#452—21no—
471#452—21no—
472#452—21no—
473#452D411yescharacteristic
474#450—21no—
475#450—21no—
476#450—21no—
477#450—21no—
478#450D411yescharacteristic
479#450D411yescharacteristic
480#449—21no—
481#449—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#449D411yescharacteristic
493#448—21no—
494#448—21no—
495#448—21no—
496#448—21no—
497#447—21no—
498#447—21no—
499#447—21no—
500#447—21no—
501#446—21no—
502#446—21no—
503#446C2311yescharacteristic
504#446C2311yescharacteristic
505#446C2311yescharacteristic
506C8×Q8C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508C8×Q8C2311yescharacteristic
509C8×Q8C2311yescharacteristic
510C8×Q8C2311yescharacteristic
511#442—21no—
512#442—21no—
513#442—21no—
514#442—21no—
515#442—41no—
516#441—21no—
517#440—21no—
518#440—21no—
519#440—21no—
520C4×Q16C2311yescharacteristic
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16—21no—
526C4×SD16—21no—
527C4×SD16—21no—
528C4×SD16—21no—
529C4×SD16—21no—
530C4×SD16C2311yescharacteristic
531C4×SD16C2311yescharacteristic
532C4×SD16C2311yescharacteristic
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×SD16C2311yescharacteristic
536C4×D8—21no—
537C4×D8—21no—
538C4×D8—21no—
539C4×D8C2311yescharacteristic
540#436—21no—
541#436—21no—
542#436—21no—
543#436C2311yescharacteristic
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#436C2311yescharacteristic
547#436C2311yescharacteristic
548#435—21no—
549C8×D4—21no—
550C8×D4—21no—
551C8×D4C2311yescharacteristic
552C8×D4C2311yescharacteristic
553C8×D4C2311yescharacteristic
554#433—21no—
555#433—21no—
556#433—21no—
557#432C2311yescharacteristic
558#431—21no—
559#431C2311yescharacteristic
560#431C2311yescharacteristic
561#431C2311yescharacteristic
562C2×#106—21no—
563C2×#106—21no—
564C2×#106—21no—
565#424—21no—
566#423C2311yescharacteristic
567C2×C4⋊C8—21no—
568C2×C4⋊C8C2311yescharacteristic
569#419—21no—
570#419—21no—
571#418—21no—
572#417—21no—
573#417—21no—
574#417—21no—
575#416—21no—
576C2×#102—21no—
577C2×#102—21no—
578C2×#102—21no—
579#407—21no—
580#407—21no—
581C4×M16C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#335C2311yescharacteristic
587#335C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
594#333C2311yescharacteristic
595#333C2311yescharacteristic
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
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—41no—
634C2×#41—41no—
635C2×#41—82no—
636C2×#41—82no—
637C2×#41C2×D411yescharacteristic
638C22×Q8—21no—
639C22×Q8—21no—
640C22×Q8—21no—
641C22×Q8—41no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4C2×D411yescharacteristic
649C23×C4—21no—
650C23×C4—41no—
651#137—84no—
652#137—82no—
653AGL(1,ℤ/8)—82no—
654AGL(1,ℤ/8)—82no—
655AGL(1,ℤ/8)—82no—
656AGL(1,ℤ/8)—82no—
657AGL(1,ℤ/8)—82no—
658C2×Q16—21no—
659C2×Q16—41no—
660C2×Q16—41no—
661C2×Q16C2×D411yescharacteristic
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—41no—
677C2×SD16—41no—
678C2×SD16—82no—
679C2×SD16C2×D411yescharacteristic
680C2×SD16C2×D411yescharacteristic
681C2×SD16C2×D411yescharacteristic
682C2×SD16C2×D411yescharacteristic
683C2×SD16C2×D411yescharacteristic
684C2×SD16C2×D411yescharacteristic
685C2×D8—21no—
686C2×D8—21no—
687C2×D8—21no—
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×M16—21no—
697C2×M16—21no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—21no—
703C22×C8—21no—
704C22×C8—21no—
705C22×C8—21no—
706C22×C8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—21no—
709C4⋊Q8—21no—
710C4⋊Q8—21no—
711C4⋊Q8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—21no—
714C4⋊Q8—21no—
715C4⋊Q8—21no—
716C4⋊Q8—21no—
717C4⋊Q8—41no—
718C4⋊Q8—41no—
719C4⋊Q8—41no—
720C4⋊Q8—41no—
721C4⋊Q8C2×D411yescharacteristic
722C4⋊Q8C2×D411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725C4⋊Q8C2411yescharacteristic
726C4⋊Q8C2411yescharacteristic
727C4⋊Q8C2411yescharacteristic
728#127—21no—
729#127—21no—
730#127—21no—
731#127C2411yescharacteristic
732#127C2411yescharacteristic
733#127C2411yescharacteristic
734#126—21no—
735#126—41no—
736#126—41no—
737#125—21no—
738#125—21no—
739#125—21no—
740#125—21no—
741#125—21no—
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—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—41no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
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⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8C2×D411yescharacteristic
793C22⋊Q8C2×D411yescharacteristic
794C22⋊Q8C2×D411yescharacteristic
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—41no—
812#121—41no—
813#121—41no—
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#121C2×D411yescharacteristic
823#120—41no—
824#120—41no—
825#120—41no—
826#120—41no—
827#120—41no—
828#120—41no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8—21no—
834C4×Q8—21no—
835C4×Q8—21no—
836C4×Q8—41no—
837C4×Q8C2×D411yescharacteristic
838C4×Q8C2411yescharacteristic
839C4×Q8C2411yescharacteristic
840C4×Q8C2411yescharacteristic
841C4×Q8C2411yescharacteristic
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—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
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×D4—41no—
872C4×D4C2×D411yescharacteristic
873C4×D4C2×D411yescharacteristic
874C4×D4C2×D411yescharacteristic
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—41no—
885#117C2×D411yescharacteristic
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—41no—
893C2×C4⋊C4—41no—
894C2×C4⋊C4C2×D411yescharacteristic
895C2×C22⋊C4—21no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C42—21no—
900C2×C42C2411yescharacteristic
901#107—21no—
902#107—21no—
903#107—21no—
904#107—21no—
905#107—21no—
906#107—21no—
907#107C2×D411yescharacteristic
908#107C2×D411yescharacteristic
909#106—21no—
910#106—21no—
911#106—21no—
912#106—21no—
913#106—21no—
914#106—21no—
915#106—21no—
916#106—21no—
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—41no—
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930#106C2×D411yescharacteristic
931#106C2×D411yescharacteristic
932#106C2×D411yescharacteristic
933#106C2×D411yescharacteristic
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
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#103C2×D411yescharacteristic
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
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—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—21no—
1012#102—41no—
1013#102—41no—
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
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⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8C2×D411yescharacteristic
1033C22⋊C8C2×D411yescharacteristic
1034C22⋊C8C2×D411yescharacteristic
1035C22⋊C8C2×D411yescharacteristic
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040#97—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8—21no—
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C24—21no—
1054C24—41no—
1055C24—41no—
1056#41—22no—
1057#41—22no—
1058#41—42no—
1059#41—42no—
1060#41—81no—
1061#41—81no—
1062#41—84no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—82no—
1072#41—84no—
1073C2×Q8—21no—
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—41no—
1083C2×Q8—41no—
1084C2×Q8—42no—
1085C2×Q8—81no—
1086C2×Q8—81no—
1087C2×Q8—81no—
1088C2×Q8—82no—
1089C2×Q8—162no—
1090C2×Q8C22×D411yescharacteristic
1091C2×Q8C22×D411yescharacteristic
1092C2×Q8C22×D411yescharacteristic
1093C2×Q8C22×D411yescharacteristic
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—21no—
1104C2×D4—21no—
1105C2×D4—21no—
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—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—84no—
1132C2×D4—162no—
1133C2×D4C22×D411yescharacteristic
1134C2×D4C22×D411yescharacteristic
1135C2×D4C22×D411yescharacteristic
1136C2×D4C22×D411yescharacteristic
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
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—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—81no—
1161C22×C4—81no—
1162C22×C4—84no—
1163C22×C4C22×D411yescharacteristic
1164C22×C4C22×D411yescharacteristic
1165C22×C4H(5,𝔽2)11yescharacteristic
1166Q16—22no—
1167Q16—82no—
1168Q16—81no—
1169Q16—82no—
1170SD16—22no—
1171SD16—22no—
1172SD16—41no—
1173SD16—41no—
1174SD16—41no—
1175SD16—41no—
1176SD16—42no—
1177SD16—42no—
1178SD16—42no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182SD16—81no—
1183SD16—82no—
1184SD16—81no—
1185SD16—81no—
1186SD16—81no—
1187SD16—81no—
1188SD16—81no—
1189SD16—81no—
1190SD16—81no—
1191SD16—82no—
1192D8—22no—
1193D8—42no—
1194D8—42no—
1195D8—42no—
1196D8—81no—
1197D8—81no—
1198D8—81no—
1199D8—81no—
1200D8—82no—
1201D8—81no—
1202D8—81no—
1203M16—42no—
1204M16—81no—
1205M16—81no—
1206M16—81no—
1207M16—81no—
1208M16—81no—
1209M16—81no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—81no—
1221C2×C8—81no—
1222C2×C8—81no—
1223C2×C8—81no—
1224C2×C8C22×D411yescharacteristic
1225C2×C8C22×D411yescharacteristic
1226C2×C8C22×D411yescharacteristic
1227C2×C8C22×D411yescharacteristic
1228C2×C8C22×D411yescharacteristic
1229C2×C8C22×D411yescharacteristic
1230C2×C8C22×D411yescharacteristic
1231C2×C8C22×D411yescharacteristic
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—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
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⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4C22×D411yescharacteristic
1275C4⋊C4C22×D411yescharacteristic
1276C4⋊C4C22×D411yescharacteristic
1277C4⋊C4C22×D411yescharacteristic
1278C4⋊C4C22×D411yescharacteristic
1279C4⋊C4C22×D411yescharacteristic
1280C4⋊C4C22×D411yescharacteristic
1281C4⋊C4C22×D411yescharacteristic
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—21no—
1292C22⋊C4—21no—
1293C22⋊C4—21no—
1294C22⋊C4—21no—
1295C22⋊C4—21no—
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—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C42—21no—
1319C42—21no—
1320C42—21no—
1321C42—21no—
1322C42—21no—
1323C42—21no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42C22×D411yescharacteristic
1329C42C22×D411yescharacteristic
1330C42H(5,𝔽2)11yescharacteristic
1331C42C2511yescharacteristic
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—81no—
1340C23—81no—
1341C23—81no—
1342C23—82no—
1343C23—82no—
1344C23—82no—
1345C23—161no—
1346C23—161no—
1347C23—161no—
1348C23D4211yescharacteristic
1349Q8—21no—
1350Q8—21no—
1351Q8—21no—
1352Q8—21no—
1353Q8—21no—
1354Q8—21no—
1355Q8—21no—
1356Q8—41no—
1357Q8—41no—
1358Q8—41no—
1359Q8—41no—
1360Q8—81no—
1361Q8—82no—
1362Q8—81no—
1363Q8—81no—
1364Q8—81no—
1365Q8—82no—
1366Q8—161no—
1367Q8—161no—
1368Q8—161no—
1369Q8#57712yes—
1370D4—24no—
1371D4—21no—
1372D4—21no—
1373D4—21no—
1374D4—21no—
1375D4—21no—
1376D4—21no—
1377D4—21no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—81no—
1391D4—82no—
1392D4—81no—
1393D4—81no—
1394D4—81no—
1395D4—81no—
1396D4—82no—
1397D4—82no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—161no—
1403D4—161no—
1404D4—161no—
1405D4—161no—
1406D4—161no—
1407D4—161no—
1408D4—161no—
1409D4—161no—
1410D4#57712yes—
1411C2×C4—24no—
1412C2×C4—21no—
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—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
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—81no—
1443C2×C4—81no—
1444C2×C4—81no—
1445C2×C4—82no—
1446C2×C4—82no—
1447C2×C4—82no—
1448C2×C4—81no—
1449C2×C4—82no—
1450C2×C4—161no—
1451C2×C4—161no—
1452C2×C4—161no—
1453C2×C4—161no—
1454C2×C4—161no—
1455C2×C4—161no—
1456C2×C4—161no—
1457C2×C4—161no—
1458C2×C4—161no—
1459C2×C4—161no—
1460C2×C4D4211yescharacteristic
1461C2×C4D4211yescharacteristic
1462C2×C4D4211yescharacteristic
1463C2×C4C23×D411yescharacteristic
1464C2×C4C23×D411yescharacteristic
1465C2×C4C2×H(5,𝔽2)11yescharacteristic
1466C8—22no—
1467C8—21no—
1468C8—21no—
1469C8—21no—
1470C8—21no—
1471C8—21no—
1472C8—21no—
1473C8—21no—
1474C8—21no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C22—21no—
1485C22—22no—
1486C22—21no—
1487C22—21no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—81no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—81no—
1507C22—81no—
1508C22—162no—
1509C22—164no—
1510C22—322no—
1511C22C2×D4211yescharacteristic
1512C4—21no—
1513C4—22no—
1514C4—21no—
1515C4—21no—
1516C4—21no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C4—81no—
1533C4C2×#57711yescharacteristic
1534C4C2×#57711yescharacteristic
1535C4#358511yescharacteristic
1536C4#358611yescharacteristic
1537C2—41no—
1538C2—42no—
1539C2—81no—
1540C2—81no—
1541C2—81no—
1542C2—161no—
1543C2—161no—
1544C2—161no—
1545C2#6105011yescharacteristic
1546C2#6106211yescharacteristic
1547C2#6111011yescharacteristic
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. #62096C2semidirect
2. #62039C2semidirect
3. #61860C2semidirect
4. #61590C2semidirect
5. #20201C2semidirect
6. #20195C2semidirect
7. #20189C2semidirect
8. #20175C2semidirect
9. #20107C2semidirect
10. #20106C2semidirect
11. #20084C2semidirect
12. #20082C2semidirect
13. #19925C2semidirect
14. #19911C2semidirect
15. #19897C2semidirect
16. #19890C2semidirect
17. #19828C2semidirect
18. #19826C2semidirect
19. #19807C2semidirect
20. #19804C2semidirect
21. #19721C2semidirect
22. #19544C2semidirect
23. #19526C2semidirect
24. #19427C2semidirect
25. #19412C2semidirect
26. #18742C2semidirect
27. #18567C2semidirect
28. #18563C2semidirect
29. #18554C2semidirect
30. #17952C2semidirect
31. #17926C2semidirect
32. #3554C22semidirect
34. #3503C22semidirect
39. #3387C22semidirect
41. #3384C22semidirect
42. #3381C22semidirect
43. Q8×SD16C22semidirect
44. Q8×SD16C22semidirect
45. Q8×SD16C22semidirect
46. #3375C22semidirect
48. #3372C22semidirect
50. #3366C22semidirect
53. #3362C22semidirect
54. #3361C22semidirect
55. #3361C22semidirect
72. #3295C22semidirect
73. #3295C22semidirect
74. D4×SD16C22semidirect
79. #3274C22semidirect
85. #3254C22semidirect
87. #3246C22semidirect
90. #3238C22semidirect
92. #3227C22semidirect
93. #3227C22semidirect
97. #3207C22semidirect
100. #3184C22semidirect
101. #3152C22semidirect
105. #3115C22semidirect
116. #2993C22semidirect
117. #2988C22semidirect
118. #2985C22semidirect
120. #1721C22semidirect
121. #1720C22semidirect
122. #1720C22semidirect
123. #1716C22semidirect
124. #1715C22semidirect
125. #1715C22semidirect
126. #1709C22semidirect
127. #1705C22semidirect
128. #1698C22semidirect
129. #1698C22semidirect
130. #1698C22semidirect
131. #1697C22semidirect
132. #1697C22semidirect
133. #1697C22semidirect
134. #1697C22semidirect
135. #1697C22semidirect
136. #1692C22semidirect
137. #1691C22semidirect
138. #1691C22semidirect
139. #1691C22semidirect
140. #1691C22semidirect
141. #1691C22semidirect
142. #1686C22semidirect
143. #1686C22semidirect
144. #1684C22semidirect
145. #1684C22semidirect
146. #1684C22semidirect
147. #1683C22semidirect
148. #1678C22semidirect
149. #1678C22semidirect
150. #1677C22semidirect
151. #1677C22semidirect
152. #1672C22semidirect
153. #1671C22semidirect
154. #1668C22semidirect
155. #1668C22semidirect
156. #1668C22semidirect
157. #1667C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
161. #1653C22semidirect
162. #1651C22semidirect
163. #1651C22semidirect
165. #1642C22semidirect
166. #1640C22semidirect
167. #1639C22semidirect
170. #1633C22semidirect
171. #1633C22semidirect
172. #1632C22semidirect
173. #1632C22semidirect
174. #1632C22semidirect
175. #1632C22semidirect
178. #1629C22semidirect
179. #1629C22semidirect
180. #1627C22semidirect
181. #1627C22semidirect
182. #1626C22semidirect
184. #1623C22semidirect
185. #1623C22semidirect
186. #1622C22semidirect
187. #1622C22semidirect
189. #1621C22semidirect
190. #1620C22semidirect
191. #1619C22semidirect
192. #1592C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1590C22semidirect
196. #1588C22semidirect
197. #1588C22semidirect
198. #1588C22semidirect
199. #1585C22semidirect
200. #1584C22semidirect
201. #1583C22semidirect
202. #1583C22semidirect
203. #1581C22semidirect
204. SD16⋊C8C22semidirect
205. SD16⋊C8C22semidirect
206. C8×Q16C22semidirect
207. C8×D8C22semidirect
208. #1572C22semidirect
209. #1571C22semidirect
210. #1557C22semidirect
211. #1551C22semidirect
212. #1548C22semidirect
213. #1540C22semidirect
215. #1489C22semidirect
216. #1485C22semidirect
217. #1483C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#620962
#620392
#618602
#615902
#202012
#201952
#201892
#201752
#201072
#201062
#200842
#200822
#199252
#199112
#198972
#198902
#198282
#198262
#198072
#198042
#197212
#195442
#195262
#194272
#194122
#187422
#185672
#185632
#185542
#179522
#179262