Finite Group Databasebeta

← #6363971

Subgroups — #6363971

Order 512.

1602 conjugacy classes of subgroups.

The subgroup lattice has 1530 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62096C211yesmaximal, characteristic, complemented
2#62042C211yesmaximal, characteristic, complemented
3#61860C211yesmaximal, characteristic, complemented
4#61589C211yesmaximal, characteristic, complemented
5#20205C211yesmaximal, characteristic, complemented
6#20191C211yesmaximal, characteristic, complemented
7#20185C211yesmaximal, characteristic, complemented
8#20179C211yesmaximal, characteristic, complemented
9#20105C211yesmaximal, characteristic, complemented
10#20085C211yesmaximal, characteristic, complemented
11#20085C211yesmaximal, characteristic, complemented
12#20083C211yesmaximal, characteristic, complemented
13#19921C211yesmaximal, characteristic, complemented
14#19915C211yesmaximal, characteristic, complemented
15#19896C211yesmaximal, characteristic, complemented
16#19891C211yesmaximal, characteristic, complemented
17#19827C211yesmaximal, characteristic, complemented
18#19825C211yesmaximal, characteristic, complemented
19#19808C211yesmaximal, characteristic, complemented
20#19805C211yesmaximal, characteristic, complemented
21#19724C211yesmaximal, characteristic, complemented
22#19544C211yesmaximal, characteristic, complemented
23#19527C211yesmaximal, characteristic, complemented
24#19427C211yesmaximal, characteristic, complemented
25#19413C211yesmaximal, characteristic, complemented
26#18742C211yesmaximal, characteristic, complemented
27#18579C211yesmaximal, characteristic, complemented
28#18575C211yesmaximal, characteristic, complemented
29#18554C211yesmaximal, characteristic, complemented
30#17952C211yesmaximal, characteristic, complemented
31#17926C211yesmaximal, characteristic, complemented
32#3554C2211yescharacteristic, complemented
33#3520C2211yescharacteristic
34#3503C2211yescharacteristic
35D4×#41C2211yescharacteristic
36#3398C2211yescharacteristic
37#3394C2211yescharacteristic
38#3388—21no—
39#3387C2211yescharacteristic, complemented
40#3384—21no—
41#3384C2211yescharacteristic, complemented
42#3381C2211yescharacteristic, complemented
43Q8×SD16C2211yescharacteristic
44Q8×SD16C2211yescharacteristic
45Q8×SD16C2211yescharacteristic, complemented
46#3375C2211yescharacteristic, complemented
47#3373—21no—
48#3373C2211yescharacteristic, complemented
49#3371—21no—
50#3366C2211yescharacteristic, complemented
51#3362C2211yescharacteristic
52#3362C2211yescharacteristic
53#3362C2211yescharacteristic, complemented
54#3361C2211yescharacteristic, complemented
55#3359C2211yescharacteristic, complemented
56#3335—21no—
57#3335—21no—
58#3335C2211yescharacteristic
59#3335C2211yescharacteristic
60#3332C2211yescharacteristic
61#3332C2211yescharacteristic
62#3331—21no—
63#3330C2211yescharacteristic
64#3328C2211yescharacteristic
65#3327—21no—
66#3324C2211yescharacteristic
67#3323—21no—
68#3316—21no—
69#3298C2211yescharacteristic
70#3295—21no—
71#3295—21no—
72#3295C2211yescharacteristic
73#3295C2211yescharacteristic
74#3284C2211yescharacteristic, complemented
75#3278C2211yescharacteristic
76#3277—21no—
77#3276C2211yescharacteristic
78#3276C2211yescharacteristic
79#3276C2211yescharacteristic, complemented
80#3275—21no—
81#3275—21no—
82#3272C2211yescharacteristic
83#3267—21no—
84#3263—21no—
85#3255C2211yescharacteristic, complemented
86#3246—21no—
87#3246C2211yescharacteristic
88#3244—21no—
89#3241—21no—
90#3238C2211yescharacteristic, complemented
91#3227—21no—
92#3227C2211yescharacteristic
93#3227C2211yescharacteristic, complemented
94#3225—21no—
95#3212C2211yescharacteristic
96#3210C2211yescharacteristic
97#3210C2211yescharacteristic, complemented
98#3197—21no—
99#3196—21no—
100#3184C2211yescharacteristic
101#3139C2211yescharacteristic, complemented
102#3125—21no—
103#3125—21no—
104#3119—21no—
105#3115C2211yescharacteristic
106#3107C2211yescharacteristic
107#3102C2211yescharacteristic
108#3101—21no—
109#3101C2211yescharacteristic
110C2×#476—21no—
111C2×#476C2211yescharacteristic
112#3046—21no—
113#3036C2211yescharacteristic
114#3007—21no—
115#3005—21no—
116#2993C2211yescharacteristic, complemented
117#2988C2211yescharacteristic
118#2985C2211yescharacteristic, complemented
119#2975C2211yescharacteristic
120#1720C2211yescharacteristic, complemented
121#1720C2211yescharacteristic, complemented
122#1717C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1716C2211yescharacteristic, complemented
125#1716C2211yescharacteristic, complemented
126#1708C2211yescharacteristic, complemented
127#1708C2211yescharacteristic, complemented
128#1700C2211yescharacteristic, complemented
129#1700C2211yescharacteristic, complemented
130#1698C2211yescharacteristic, complemented
131#1697C2211yescharacteristic
132#1697C2211yescharacteristic
133#1697C2211yescharacteristic, complemented
134#1697C2211yescharacteristic, complemented
135#1697C2211yescharacteristic, complemented
136#1692C2211yescharacteristic, complemented
137#1691C2211yescharacteristic
138#1691C2211yescharacteristic
139#1691C2211yescharacteristic, complemented
140#1691C2211yescharacteristic, complemented
141#1691C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1686C2211yescharacteristic, complemented
144#1682C2211yescharacteristic, complemented
145#1682C2211yescharacteristic, complemented
146#1682C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1680C2211yescharacteristic, complemented
149#1679C2211yescharacteristic, complemented
150#1678C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1672C2211yescharacteristic, complemented
153#1671C2211yescharacteristic, complemented
154#1670C2211yescharacteristic, complemented
155#1670C2211yescharacteristic, complemented
156#1670C2211yescharacteristic, complemented
157#1669C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1653C2211yescharacteristic, complemented
162#1651C2211yescharacteristic
163#1651C2211yescharacteristic, complemented
164#1645C2211yescharacteristic, complemented
165#1645C2211yescharacteristic, complemented
166#1645C2211yescharacteristic, complemented
167#1645C2211yescharacteristic, complemented
168#1644C2211yescharacteristic, complemented
169#1644C2211yescharacteristic, complemented
170#1643C2211yescharacteristic, complemented
171#1643C2211yescharacteristic, complemented
172#1642C2211yescharacteristic
173#1642C2211yescharacteristic, complemented
174#1640C2211yescharacteristic, complemented
175#1639C2211yescharacteristic
176#1638C2211yescharacteristic
177#1638C2211yescharacteristic
178#1637C2211yescharacteristic, complemented
179#1637C2211yescharacteristic, complemented
180#1635C2211yescharacteristic
181#1635C2211yescharacteristic
182#1635C2211yescharacteristic, complemented
183#1635C2211yescharacteristic, complemented
184#1627C2211yescharacteristic
185#1627C2211yescharacteristic, complemented
186#1626C2211yescharacteristic, complemented
187#1625C2211yescharacteristic
188#1621C2211yescharacteristic
189#1621C2211yescharacteristic, complemented
190#1620C2211yescharacteristic, complemented
191#1619C2211yescharacteristic
192#1592C2211yescharacteristic
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic
195#1590C2211yescharacteristic, complemented
196#1588C2211yescharacteristic
197#1588C2211yescharacteristic, complemented
198#1588C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1584C2211yescharacteristic, complemented
201#1583C2211yescharacteristic
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
211#1552C2211yescharacteristic, complemented
212#1548C2211yescharacteristic, complemented
213#1540C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1489C2211yescharacteristic
216#1485C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—21no—
221C2×#137—21no—
222C2×#137—21no—
223C2×#137—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×AGL(1,ℤ/8)—21no—
226C2×#135—21no—
227#562—41no—
228#559—21no—
229#559C2311yescharacteristic
230Q82C2311yescharacteristic
231Q82C2311yescharacteristic
232#557—21no—
233#557C2311yescharacteristic
234#556C2311yescharacteristic
235#554—21no—
236#554—21no—
237#554—21no—
238#554—21no—
239#554C2311yescharacteristic
240#554C2311yescharacteristic
241#552—21no—
242#551—41no—
243#550C2311yescharacteristic
244#550C2311yescharacteristic
245D4×Q8—21no—
246D4×Q8—41no—
247D4×Q8C2311yescharacteristic
248D4×Q8C2311yescharacteristic
249D4×Q8C2311yescharacteristic
250#548—21no—
251#548—21no—
252#548—21no—
253#547—21no—
254#547—21no—
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#546—21no—
259#546—21no—
260#546—41no—
261D42—21no—
262D42C2311yescharacteristic
263#544—21no—
264#544—41no—
265#542—21no—
266#542—21no—
267#542—21no—
268#540—21no—
269#539—41no—
270#539—41no—
271#536—21no—
272#533—21no—
273#533C2311yescharacteristic
274#533C2311yescharacteristic
275#532—21no—
276#532C2311yescharacteristic
277#532C2311yescharacteristic
278C2×C4⋊Q8—21no—
279C2×C4⋊Q8C2311yescharacteristic
280#529C2311yescharacteristic
281#525—21no—
282#525—21no—
283#525—41no—
284C2×C22⋊Q8—21no—
285#520—21no—
286#520—21no—
287C4×#41C2311yescharacteristic
288C2×C4×D4—21no—
289C2×C4×D4C2311yescharacteristic
290#501—21no—
291#501—21no—
292#501—21no—
293#499—21no—
294#498—21no—
295#498—21no—
296#498—21no—
297#498C2311yescharacteristic
298#498C2311yescharacteristic
299#498C2311yescharacteristic
300#498C2311yescharacteristic
301#498C2311yescharacteristic
302#497—21no—
303#495—21no—
304#495—21no—
305#494C2311yescharacteristic
306#494C2311yescharacteristic
307#493C2311yescharacteristic
308#492C2311yescharacteristic
309#492C2311yescharacteristic
310#491—41no—
311#490—21no—
312#489—21no—
313#489—21no—
314#489—21no—
315#488—21no—
316#488—21no—
317#487—21no—
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#486—21no—
325#486—21no—
326#486—21no—
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#485—21no—
336#485—21no—
337#485D411yescharacteristic
338#484—21no—
339#483—21no—
340#483—21no—
341#483—21no—
342#483—21no—
343#483D411yescharacteristic
344#483D411yescharacteristic
345#482—21no—
346#482—21no—
347#482D411yescharacteristic
348#481—21no—
349#481—21no—
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#479—21no—
360#479—21no—
361#479D411yescharacteristic
362#478—21no—
363#478—21no—
364#478—21no—
365#478—21no—
366#478D411yescharacteristic
367#477C2311yescharacteristic
368#477C2311yescharacteristic
369#476—21no—
370#476—21no—
371#476—21no—
372#476—21no—
373#476—21no—
374#476—21no—
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#476D411yescharacteristic
385#476D411yescharacteristic
386#476C2311yescharacteristic
387#476C2311yescharacteristic
388#476C2311yescharacteristic
389#476C2311yescharacteristic
390#476C2311yescharacteristic
391#476C2311yescharacteristic
392#475—21no—
393#475—21no—
394#475—21no—
395#475—21no—
396#475—21no—
397#475—21no—
398#475C2311yescharacteristic
399#475C2311yescharacteristic
400#475C2311yescharacteristic
401#475C2311yescharacteristic
402#475C2311yescharacteristic
403#475C2311yescharacteristic
404#474—21no—
405#474C2311yescharacteristic
406#474C2311yescharacteristic
407#470—21no—
408#470—21no—
409#470—21no—
410#470—21no—
411#470—21no—
412#470—21no—
413#469—21no—
414#469—21no—
415#469—41no—
416#468—21no—
417#468—21no—
418#468—21no—
419#468—21no—
420#465—21no—
421#465—21no—
422#465—21no—
423#465—21no—
424#465—21no—
425#465—21no—
426#465—21no—
427#465—21no—
428#464—21no—
429#464—21no—
430#464—21no—
431#464—21no—
432#464—21no—
433#464—21no—
434#464—21no—
435#464D411yescharacteristic
436#463—21no—
437#463—21no—
438#463—21no—
439#463—21no—
440#463—21no—
441#463D411yescharacteristic
442#462—21no—
443#462—21no—
444#462C2311yescharacteristic
445#462C2311yescharacteristic
446#462C2311yescharacteristic
447#462C2311yescharacteristic
448#461—21no—
449#461—21no—
450#461D411yescharacteristic
451#461D411yescharacteristic
452#461C2311yescharacteristic
453#461C2311yescharacteristic
454#461C2311yescharacteristic
455#461C2311yescharacteristic
456#460—21no—
457#460—21no—
458#460—21no—
459#460C2311yescharacteristic
460#460C2311yescharacteristic
461#460C2311yescharacteristic
462#460C2311yescharacteristic
463#459—21no—
464#459C2311yescharacteristic
465#459C2311yescharacteristic
466#459C2311yescharacteristic
467#459C2311yescharacteristic
468#452—21no—
469#452—21no—
470#452—21no—
471#452—21no—
472#452—21no—
473#452—21no—
474#452—21no—
475#452—21no—
476#452—21no—
477#452—21no—
478#452—21no—
479#452D411yescharacteristic
480#451—21no—
481#451—21no—
482#451—21no—
483#451—21no—
484#450—21no—
485#450—21no—
486#450—21no—
487#450—21no—
488#450D411yescharacteristic
489#450D411yescharacteristic
490#449—21no—
491#449—21no—
492#449—21no—
493#449—21no—
494#449—21no—
495#449—21no—
496#449—21no—
497#449D411yescharacteristic
498#448—21no—
499#448—21no—
500#446—21no—
501#446—21no—
502#446C2311yescharacteristic
503#446C2311yescharacteristic
504#446C2311yescharacteristic
505C8×Q8C2311yescharacteristic
506C8×Q8C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508C8×Q8C2311yescharacteristic
509C8×Q8C2311yescharacteristic
510#442—21no—
511#442—21no—
512#442—21no—
513#442—21no—
514#442—41no—
515#441—21no—
516#441—21no—
517#440—21no—
518#440—21no—
519C4×Q16—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×SD16—21no—
531C4×SD16C2311yescharacteristic
532C4×SD16C2311yescharacteristic
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×SD16C2311yescharacteristic
536C4×SD16C2311yescharacteristic
537C4×D8—21no—
538C4×D8C2311yescharacteristic
539#436—21no—
540#436—21no—
541#436—21no—
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#436C2311yescharacteristic
547#435—21no—
548C8×D4—21no—
549C8×D4—21no—
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552C8×D4C2311yescharacteristic
553#433—21no—
554#433—21no—
555#433—21no—
556#432C2311yescharacteristic
557#431—21no—
558#431C2311yescharacteristic
559#431C2311yescharacteristic
560#431C2311yescharacteristic
561C2×#106—21no—
562C2×#106—21no—
563C2×#106—21no—
564#424—21no—
565#423C2311yescharacteristic
566C2×C4⋊C8—21no—
567C2×C4⋊C8C2311yescharacteristic
568#419—21no—
569#419—41no—
570#418—21no—
571#417—21no—
572#417—21no—
573#417—21no—
574#417—21no—
575C2×#103—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#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
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—21no—
642C22×Q8—41no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—41no—
646C22×D4C2×D411yescharacteristic
647C23×C4—21no—
648C23×C4—41no—
649#137—82no—
650#137—82no—
651#137—82no—
652#137—82no—
653AGL(1,ℤ/8)—82no—
654AGL(1,ℤ/8)—82no—
655#135—82no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16—21no—
661C2×Q16—21no—
662C2×Q16—21no—
663C2×Q16—21no—
664C2×Q16C2×D411yescharacteristic
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×SD16C2×D411yescharacteristic
678C2×SD16C2×D411yescharacteristic
679C2×SD16C2×D411yescharacteristic
680C2×SD16C2×D411yescharacteristic
681C2×SD16C2×D411yescharacteristic
682C2×SD16C2×D411yescharacteristic
683C2×D8—21no—
684C2×D8—21no—
685C2×D8—21no—
686C2×D8—21no—
687C2×D8—41no—
688C2×D8C2×D411yescharacteristic
689C2×M16—21no—
690C2×M16—21no—
691C2×M16—21no—
692C2×M16—21no—
693C2×M16—21no—
694C2×M16—21no—
695C2×M16—21no—
696C22×C8—21no—
697C22×C8—21no—
698C22×C8—21no—
699C22×C8—21no—
700C4⋊Q8—21no—
701C4⋊Q8—21no—
702C4⋊Q8—21no—
703C4⋊Q8—21no—
704C4⋊Q8—21no—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—21no—
709C4⋊Q8—21no—
710C4⋊Q8—21no—
711C4⋊Q8—41no—
712C4⋊Q8—41no—
713C4⋊Q8—41no—
714C4⋊Q8—41no—
715C4⋊Q8C2×D411yescharacteristic
716C4⋊Q8C2×D411yescharacteristic
717C4⋊Q8C2411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722C4⋊Q8C2411yescharacteristic
723#127—21no—
724#127—21no—
725#127C2411yescharacteristic
726#127C2411yescharacteristic
727#126—21no—
728#126—41no—
729#126—41no—
730#126—41no—
731#125—21no—
732#125—21no—
733#125—21no—
734#125—21no—
735#125—21no—
736#125—41no—
737#125—41no—
738#125—41no—
739#125—41no—
740#125—41no—
741#125C2×D411yescharacteristic
742#124—21no—
743#124—21no—
744#124—21no—
745#124—21no—
746#124—21no—
747#124—41no—
748#124—41no—
749#124—41no—
750#124—41no—
751#124C2×D411yescharacteristic
752#123—21no—
753#123—41no—
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—
766C22⋊Q8—21no—
767C22⋊Q8—21no—
768C22⋊Q8—21no—
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—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⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796C22⋊Q8C2×D411yescharacteristic
797C22⋊Q8C2×D411yescharacteristic
798C22⋊Q8C2×D411yescharacteristic
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—41no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121—41no—
815#121—41no—
816#121—41no—
817#121C2×D411yescharacteristic
818#120—41no—
819#120—41no—
820#120—41no—
821#120—41no—
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—21no—
832C4×Q8—41no—
833C4×Q8C2×D411yescharacteristic
834C4×Q8C2411yescharacteristic
835C4×Q8C2411yescharacteristic
836C4×Q8C2411yescharacteristic
837C4×Q8C2411yescharacteristic
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—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4—41no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4—41no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4C2×D411yescharacteristic
866C4×D4C2×D411yescharacteristic
867C4×D4C2×D411yescharacteristic
868C4×D4C2411yescharacteristic
869C4×D4C2411yescharacteristic
870C4×D4C2411yescharacteristic
871C4×D4C2411yescharacteristic
872#117—21no—
873#117—21no—
874#117—21no—
875#117—21no—
876#117—21no—
877#117—41no—
878#117—41no—
879#117C2×D411yescharacteristic
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—41no—
888C2×C4⋊C4—41no—
889C2×C4⋊C4—41no—
890C2×C4⋊C4C2×D411yescharacteristic
891C2×C22⋊C4—21no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C42—21no—
895C2×C42C2411yescharacteristic
896#107—21no—
897#107—21no—
898#107—21no—
899#107—21no—
900#107C2×D411yescharacteristic
901#107C2×D411yescharacteristic
902#106—21no—
903#106—21no—
904#106—21no—
905#106—21no—
906#106—21no—
907#106—21no—
908#106—21no—
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—41no—
923#106C2×D411yescharacteristic
924#106C2×D411yescharacteristic
925#106C2×D411yescharacteristic
926#106C2×D411yescharacteristic
927#106C2×D411yescharacteristic
928#106C2×D411yescharacteristic
929C4⋊C8—21no—
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⋊C8C2×D411yescharacteristic
942C4⋊C8C2×D411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
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—21no—
970#103—21no—
971#103—41no—
972#103—41no—
973#103—41no—
974#103—41no—
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
982#103C2×D411yescharacteristic
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#102—41no—
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
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⋊C8—21no—
1031C22⋊C8C2×D411yescharacteristic
1032C22⋊C8C2×D411yescharacteristic
1033C22⋊C8C2×D411yescharacteristic
1034C22⋊C8C2×D411yescharacteristic
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040C4×C8—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C24—21no—
1053C24—41no—
1054#41—22no—
1055#41—22no—
1056#41—42no—
1057#41—42no—
1058#41—42no—
1059#41—81no—
1060#41—81no—
1061#41—84no—
1062#41—81no—
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—84no—
1072C2×Q8—21no—
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—41no—
1085C2×Q8—42no—
1086C2×Q8—81no—
1087C2×Q8—81no—
1088C2×Q8—81no—
1089C2×Q8—81no—
1090C2×Q8—81no—
1091C2×Q8—82no—
1092C2×Q8—162no—
1093C2×Q8C22×D411yescharacteristic
1094C2×Q8C22×D411yescharacteristic
1095C2×Q8C22×D411yescharacteristic
1096C2×Q8C22×D411yescharacteristic
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—42no—
1115C2×D4—42no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—84no—
1124C2×D4C22×D411yescharacteristic
1125C2×D4C22×D411yescharacteristic
1126C2×D4C22×D411yescharacteristic
1127C2×D4C22×D411yescharacteristic
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—81no—
1152C22×C4—81no—
1153C22×C4—84no—
1154C22×C4C22×D411yescharacteristic
1155C22×C4C22×D411yescharacteristic
1156C22×C4H(5,𝔽2)11yescharacteristic
1157Q16—22no—
1158Q16—42no—
1159Q16—81no—
1160Q16—81no—
1161Q16—81no—
1162Q16—81no—
1163Q16—81no—
1164Q16—81no—
1165Q16—81no—
1166SD16—22no—
1167SD16—22no—
1168SD16—41no—
1169SD16—41no—
1170SD16—41no—
1171SD16—41no—
1172SD16—42no—
1173SD16—42no—
1174SD16—42no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178SD16—81no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182SD16—81no—
1183SD16—81no—
1184D8—22no—
1185D8—42no—
1186D8—42no—
1187D8—81no—
1188D8—81no—
1189D8—82no—
1190M16—81no—
1191M16—81no—
1192M16—81no—
1193M16—81no—
1194M16—81no—
1195M16—81no—
1196M16—81no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—81no—
1208C2×C8—81no—
1209C2×C8—81no—
1210C2×C8—81no—
1211C2×C8C22×D411yescharacteristic
1212C2×C8C22×D411yescharacteristic
1213C2×C8C22×D411yescharacteristic
1214C2×C8C22×D411yescharacteristic
1215C2×C8C22×D411yescharacteristic
1216C2×C8C22×D411yescharacteristic
1217C2×C8C22×D411yescharacteristic
1218C2×C8C22×D411yescharacteristic
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
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—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
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⋊C4C22×D411yescharacteristic
1268C4⋊C4C22×D411yescharacteristic
1269C4⋊C4C22×D411yescharacteristic
1270C4⋊C4C22×D411yescharacteristic
1271C4⋊C4C22×D411yescharacteristic
1272C4⋊C4C22×D411yescharacteristic
1273C4⋊C4C22×D411yescharacteristic
1274C4⋊C4C22×D411yescharacteristic
1275C22⋊C4—21no—
1276C22⋊C4—21no—
1277C22⋊C4—21no—
1278C22⋊C4—21no—
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—41no—
1290C22⋊C4—41no—
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—
1310C42—21no—
1311C42—21no—
1312C42—21no—
1313C42—21no—
1314C42—21no—
1315C42—21no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C42—41no—
1321C42C22×D411yescharacteristic
1322C42C22×D411yescharacteristic
1323C42H(5,𝔽2)11yescharacteristic
1324C42C2511yescharacteristic
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—41no—
1330C23—41no—
1331C23—81no—
1332C23—81no—
1333C23—81no—
1334C23—82no—
1335C23—82no—
1336C23—161no—
1337C23D4211yescharacteristic
1338Q8—21no—
1339Q8—21no—
1340Q8—21no—
1341Q8—21no—
1342Q8—21no—
1343Q8—21no—
1344Q8—21no—
1345Q8—41no—
1346Q8—41no—
1347Q8—41no—
1348Q8—41no—
1349Q8—41no—
1350Q8—41no—
1351Q8—41no—
1352Q8—41no—
1353Q8—81no—
1354Q8—82no—
1355Q8—81no—
1356Q8—81no—
1357Q8—82no—
1358Q8—161no—
1359Q8—161no—
1360Q8—161no—
1361Q8—161no—
1362Q8#57712yes—
1363D4—24no—
1364D4—21no—
1365D4—21no—
1366D4—21no—
1367D4—21no—
1368D4—21no—
1369D4—21no—
1370D4—21no—
1371D4—41no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—81no—
1380D4—82no—
1381D4—81no—
1382D4—81no—
1383D4—81no—
1384D4—82no—
1385D4—82no—
1386D4—82no—
1387D4—82no—
1388D4—82no—
1389D4—161no—
1390D4—161no—
1391D4—161no—
1392D4—161no—
1393D4—161no—
1394D4#57712yes—
1395C2×C4—24no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—81no—
1428C2×C4—81no—
1429C2×C4—81no—
1430C2×C4—82no—
1431C2×C4—82no—
1432C2×C4—82no—
1433C2×C4—81no—
1434C2×C4—82no—
1435C2×C4—82no—
1436C2×C4—161no—
1437C2×C4—161no—
1438C2×C4—161no—
1439C2×C4—161no—
1440C2×C4—161no—
1441C2×C4—161no—
1442C2×C4—161no—
1443C2×C4—161no—
1444C2×C4—161no—
1445C2×C4D4211yescharacteristic
1446C2×C4D4211yescharacteristic
1447C2×C4D4211yescharacteristic
1448C2×C4C23×D411yescharacteristic
1449C2×C4C23×D411yescharacteristic
1450C2×C4C2×H(5,𝔽2)11yescharacteristic
1451C8—21no—
1452C8—21no—
1453C8—21no—
1454C8—21no—
1455C8—21no—
1456C8—21no—
1457C8—21no—
1458C8—21no—
1459C8—41no—
1460C8—41no—
1461C8—41no—
1462C8—41no—
1463C8—41no—
1464C8—41no—
1465C8—41no—
1466C8—41no—
1467C8—41no—
1468C8—41no—
1469C22—21no—
1470C22—22no—
1471C22—21no—
1472C22—21no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22—162no—
1491C22—164no—
1492C22C2×D4211yescharacteristic
1493C4—21no—
1494C4—22no—
1495C4—21no—
1496C4—21no—
1497C4—21no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C4—81no—
1515C4C2×#57711yescharacteristic
1516C4C2×#57711yescharacteristic
1517C4#358511yescharacteristic
1518C4#358611yescharacteristic
1519C2—41no—
1520C2—42no—
1521C2—81no—
1522C2—81no—
1523C2—81no—
1524C2—161no—
1525C2—161no—
1526C2#6105011yescharacteristic
1527C2#6106211yescharacteristic
1528C2#6110911yescharacteristic
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. #62042C2semidirect
3. #61860C2semidirect
4. #61589C2semidirect
5. #20205C2semidirect
6. #20191C2semidirect
7. #20185C2semidirect
8. #20179C2semidirect
9. #20105C2semidirect
10. #20085C2semidirect
11. #20085C2semidirect
12. #20083C2semidirect
13. #19921C2semidirect
14. #19915C2semidirect
15. #19896C2semidirect
16. #19891C2semidirect
17. #19827C2semidirect
18. #19825C2semidirect
19. #19808C2semidirect
20. #19805C2semidirect
21. #19724C2semidirect
22. #19544C2semidirect
23. #19527C2semidirect
24. #19427C2semidirect
25. #19413C2semidirect
26. #18742C2semidirect
27. #18579C2semidirect
28. #18575C2semidirect
29. #18554C2semidirect
30. #17952C2semidirect
31. #17926C2semidirect
32. #3554C22semidirect
39. #3387C22semidirect
41. #3384C22semidirect
42. #3381C22semidirect
45. Q8×SD16C22semidirect
46. #3375C22semidirect
48. #3373C22semidirect
50. #3366C22semidirect
53. #3362C22semidirect
54. #3361C22semidirect
55. #3359C22semidirect
74. #3284C22semidirect
79. #3276C22semidirect
85. #3255C22semidirect
90. #3238C22semidirect
93. #3227C22semidirect
97. #3210C22semidirect
101. #3139C22semidirect
116. #2993C22semidirect
118. #2985C22semidirect
120. #1720C22semidirect
121. #1720C22semidirect
122. #1717C22semidirect
123. #1717C22semidirect
124. #1716C22semidirect
125. #1716C22semidirect
126. #1708C22semidirect
127. #1708C22semidirect
128. #1700C22semidirect
129. #1700C22semidirect
130. #1698C22semidirect
133. #1697C22semidirect
134. #1697C22semidirect
135. #1697C22semidirect
136. #1692C22semidirect
139. #1691C22semidirect
140. #1691C22semidirect
141. #1691C22semidirect
142. #1686C22semidirect
143. #1686C22semidirect
144. #1682C22semidirect
145. #1682C22semidirect
146. #1682C22semidirect
147. #1681C22semidirect
148. #1680C22semidirect
149. #1679C22semidirect
150. #1678C22semidirect
151. #1677C22semidirect
152. #1672C22semidirect
153. #1671C22semidirect
154. #1670C22semidirect
155. #1670C22semidirect
156. #1670C22semidirect
157. #1669C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
161. #1653C22semidirect
163. #1651C22semidirect
164. #1645C22semidirect
165. #1645C22semidirect
166. #1645C22semidirect
167. #1645C22semidirect
168. #1644C22semidirect
169. #1644C22semidirect
170. #1643C22semidirect
171. #1643C22semidirect
173. #1642C22semidirect
174. #1640C22semidirect
178. #1637C22semidirect
179. #1637C22semidirect
182. #1635C22semidirect
183. #1635C22semidirect
185. #1627C22semidirect
186. #1626C22semidirect
189. #1621C22semidirect
190. #1620C22semidirect
193. #1592C22semidirect
195. #1590C22semidirect
197. #1588C22semidirect
198. #1588C22semidirect
199. #1585C22semidirect
200. #1584C22semidirect
202. #1583C22semidirect
203. #1581C22semidirect
204. SD16⋊C8C22semidirect
205. SD16⋊C8C22semidirect
206. C8×Q16C22semidirect
207. C8×D8C22semidirect
208. #1572C22semidirect
209. #1571C22semidirect
211. #1552C22semidirect
212. #1548C22semidirect
213. #1540C22semidirect
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
#620422
#618602
#615892
#202052
#201912
#201852
#201792
#201052
#200852
#200832
#199212
#199152
#198962
#198912
#198272
#198252
#198082
#198052
#197242
#195442
#195272
#194272
#194132
#187422
#185792
#185752
#185542
#179522
#179262