Finite Group Databasebeta

← #6367812

Subgroups — #6367812

Order 512.

1623 conjugacy classes of subgroups.

The subgroup lattice has 1566 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62610C211yesmaximal, characteristic, complemented
2#62583C211yesmaximal, characteristic, complemented
3#62031C211yesmaximal, characteristic, complemented
4#61693C211yesmaximal, characteristic, complemented
5#20298C211yesmaximal, characteristic, complemented
6#20287C211yesmaximal, characteristic, complemented
7#20260C211yesmaximal, characteristic, complemented
8#20196C211yesmaximal, characteristic, complemented
9#20164C211yesmaximal, characteristic, complemented
10#20161C211yesmaximal, characteristic, complemented
11#19991C211yesmaximal, characteristic, complemented
12#19968C211yesmaximal, characteristic, complemented
13#19935C211yesmaximal, characteristic, complemented
14#19934C211yesmaximal, characteristic, complemented
15#19916C211yesmaximal, characteristic, complemented
16#19886C211yesmaximal, characteristic, complemented
17#19841C211yesmaximal, characteristic, complemented
18#19835C211yesmaximal, characteristic, complemented
19#19779C211yesmaximal, characteristic, complemented
20#19771C211yesmaximal, characteristic, complemented
21#19627C211yesmaximal, characteristic, complemented
22#19539C211yesmaximal, characteristic, complemented
23#19506C211yesmaximal, characteristic, complemented
24#19383C211yesmaximal, characteristic, complemented
25#19316C211yesmaximal, characteristic, complemented
26#18706C211yesmaximal, characteristic, complemented
27#18689C211yesmaximal, characteristic, complemented
28#18659C211yesmaximal, characteristic, complemented
29#18640C211yesmaximal, characteristic, complemented
30#17996C211yesmaximal, characteristic, complemented
31#17968C211yesmaximal, characteristic, complemented
32#3547C2211yescharacteristic, complemented
33#3543C2211yescharacteristic
34#3514C2211yescharacteristic
35#3499C2211yescharacteristic, complemented
36#3399C2211yescharacteristic
37#3396C2211yescharacteristic
38#3373C2211yescharacteristic
39#3373C2211yescharacteristic, complemented
40#3373C2211yescharacteristic, complemented
41#3373C2211yescharacteristic, complemented
42#3367C2211yescharacteristic, complemented
43#3367C2211yescharacteristic, complemented
44#3366C2211yescharacteristic
45#3361C2211yescharacteristic, complemented
46#3358C2211yescharacteristic
47#3358C2211yescharacteristic
48#3332C2211yescharacteristic, complemented
49#3331C2211yescharacteristic, complemented
50#3329C2211yescharacteristic, complemented
51#3325—21no—
52#3325—21no—
53#3325C2211yescharacteristic
54#3324C2211yescharacteristic
55#3322—21no—
56#3319—21no—
57#3319—21no—
58#3318—21no—
59#3315—21no—
60#3312—21no—
61#3308—21no—
62#3308—21no—
63#3306—21no—
64#3306—21no—
65#3305C2211yescharacteristic, complemented
66#3304C2211yescharacteristic
67#3303C2211yescharacteristic, complemented
68#3299C2211yescharacteristic, complemented
69#3298C2211yescharacteristic, complemented
70#3298C2211yescharacteristic, complemented
71#3294C2211yescharacteristic
72#3294C2211yescharacteristic, complemented
73#3294C2211yescharacteristic, complemented
74D4×Q16C2211yescharacteristic, complemented
75#3283C2211yescharacteristic, complemented
76D4×D8C2211yescharacteristic
77#3276C2211yescharacteristic, complemented
78#3276C2211yescharacteristic, complemented
79#3274C2211yescharacteristic
80#3273—21no—
81#3270—21no—
82#3269—21no—
83#3264—21no—
84#3257—21no—
85#3251C2211yescharacteristic
86#3241—21no—
87#3239C2211yescharacteristic
88#3238—21no—
89#3233C2211yescharacteristic
90#3224—21no—
91#3220—21no—
92#3218C2211yescharacteristic, complemented
93#3214C2211yescharacteristic, complemented
94#3213—21no—
95#3209C2211yescharacteristic, complemented
96#3205C2211yescharacteristic
97#3205C2211yescharacteristic, complemented
98#3202—21no—
99#3201—21no—
100#3180—21no—
101#3176—21no—
102#3171C2211yescharacteristic
103#3167C2211yescharacteristic, complemented
104#3141C2211yescharacteristic, complemented
105#3138C2211yescharacteristic, complemented
106#3136—21no—
107C2×#489—21no—
108C2×#486C2211yescharacteristic, complemented
109#3122—21no—
110#3116C2211yescharacteristic, complemented
111#3102C2211yescharacteristic
112#3041—21no—
113#3038C2211yescharacteristic
114#3013—21no—
115#3011—21no—
116#2993C2211yescharacteristic
117#2981C2211yescharacteristic, complemented
118#2970C2211yescharacteristic, complemented
119#2969C2211yescharacteristic, complemented
120#1720C2211yescharacteristic, complemented
121#1720C2211yescharacteristic, complemented
122#1717C2211yescharacteristic
123#1717C2211yescharacteristic, complemented
124#1711C2211yescharacteristic, complemented
125#1711C2211yescharacteristic, complemented
126#1709C2211yescharacteristic
127#1709C2211yescharacteristic, 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#1700C2211yescharacteristic, complemented
137#1699C2211yescharacteristic, complemented
138#1698C2211yescharacteristic, complemented
139#1698C2211yescharacteristic, complemented
140#1690C2211yescharacteristic, complemented
141#1689C2211yescharacteristic, complemented
142#1687C2211yescharacteristic, complemented
143#1687C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1682C2211yescharacteristic, complemented
147#1681C2211yescharacteristic
148#1681C2211yescharacteristic, complemented
149#1681C2211yescharacteristic, complemented
150#1681C2211yescharacteristic, complemented
151#1681C2211yescharacteristic, complemented
152#1680C2211yescharacteristic, complemented
153#1679C2211yescharacteristic, complemented
154#1677C2211yescharacteristic
155#1677C2211yescharacteristic, complemented
156#1670C2211yescharacteristic, complemented
157#1669C2211yescharacteristic, complemented
158#1667C2211yescharacteristic
159#1667C2211yescharacteristic
160#1654C2211yescharacteristic, complemented
161#1652C2211yescharacteristic, complemented
162#1651C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1646C2211yescharacteristic, complemented
165#1643C2211yescharacteristic, complemented
166#1642C2211yescharacteristic, complemented
167#1642C2211yescharacteristic, complemented
168#1641C2211yescharacteristic
169#1641C2211yescharacteristic
170#1640C2211yescharacteristic, complemented
171#1640C2211yescharacteristic, complemented
172#1640C2211yescharacteristic, complemented
173#1639C2211yescharacteristic
174#1639C2211yescharacteristic
175#1639C2211yescharacteristic, complemented
176#1638C2211yescharacteristic, complemented
177#1637C2211yescharacteristic, complemented
178#1630C2211yescharacteristic, complemented
179#1629C2211yescharacteristic, complemented
180#1627C2211yescharacteristic, complemented
181#1627C2211yescharacteristic, complemented
182#1627C2211yescharacteristic, complemented
183#1627C2211yescharacteristic, complemented
184#1627C2211yescharacteristic, complemented
185#1625C2211yescharacteristic
186#1625C2211yescharacteristic
187#1625C2211yescharacteristic, complemented
188#1625C2211yescharacteristic, complemented
189#1625C2211yescharacteristic, complemented
190#1624C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1591C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1590C2211yescharacteristic, complemented
197#1589C2211yescharacteristic, complemented
198#1584C2211yescharacteristic, complemented
199#1582C2211yescharacteristic, complemented
200#1582C2211yescharacteristic, complemented
201#1581C2211yescharacteristic, complemented
202#1580C2211yescharacteristic, complemented
203SD16⋊C8C2211yescharacteristic, complemented
204C8×SD16C2211yescharacteristic, complemented
205C8×SD16C2211yescharacteristic, complemented
206C8×D8C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1572C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1559C2211yescharacteristic, complemented
211#1555C2211yescharacteristic, complemented
212#1553C2211yescharacteristic, complemented
213#1546C2211yescharacteristic, complemented
214#1494C2211yescharacteristic
215#1494C2211yescharacteristic, complemented
216#1492C2211yescharacteristic, complemented
217#1476C2211yescharacteristic, complemented
218C8×M16C2211yescharacteristic, complemented
219C2×2−1+4—21no—
220C2×#137—21no—
221C2×#137—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×#135—21no—
225C22×Q16—21no—
226C22×D8—21no—
227#562—41no—
228#560—41no—
229#559C2311yescharacteristic
230#559C2311yescharacteristic
231#556C2311yescharacteristic
232#555—21no—
233#555—21no—
234#555C2311yescharacteristic
235#554C2311yescharacteristic
236#553—21no—
237#552—21no—
238#551—41no—
239#550C2311yescharacteristic
240#550C2311yescharacteristic
241D4×Q8—21no—
242D4×Q8C2311yescharacteristic
243D4×Q8C2311yescharacteristic
244D4×Q8C2311yescharacteristic
245D4×Q8C2311yescharacteristic
246#548—21no—
247#548—21no—
248#547—21no—
249#547—21no—
250#547—21no—
251#547—41no—
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#546—21no—
256#546—21no—
257#546—21no—
258#546—21no—
259D42—21no—
260D42—21no—
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263#544—21no—
264#542—21no—
265#542—41no—
266#540—21no—
267#540—21no—
268#540—21no—
269#538—41no—
270#537—21no—
271#536—21no—
272#536—21no—
273#536—41no—
274#535—21no—
275#535—21no—
276#534—41no—
277#533C2311yescharacteristic
278#532—21no—
279#532C2311yescharacteristic
280#532C2311yescharacteristic
281C2×C4⋊Q8—21no—
282C2×C4⋊Q8C2311yescharacteristic
283C2×#127C2311yescharacteristic
284#529—21no—
285#529C2311yescharacteristic
286#529C2311yescharacteristic
287C2×#124—21no—
288#518—21no—
289C4×#41C2311yescharacteristic
290#501—21no—
291#501D411yescharacteristic
292#499—21no—
293#498C2311yescharacteristic
294#497—21no—
295#496—21no—
296#496—21no—
297#496D411yescharacteristic
298#495—21no—
299#494C2311yescharacteristic
300#494C2311yescharacteristic
301#493—21no—
302#493C2311yescharacteristic
303#493C2311yescharacteristic
304#492C2311yescharacteristic
305#491—21no—
306#490—21no—
307#490—21no—
308#490—21no—
309#490D411yescharacteristic
310#489—21no—
311#489—21no—
312#489—21no—
313#489—21no—
314#489—21no—
315#489—21no—
316#489—21no—
317#489—21no—
318#489—21no—
319#489—21no—
320#489D411yescharacteristic
321#488—21no—
322#488—21no—
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#487C2311yescharacteristic
326#487C2311yescharacteristic
327#487C2311yescharacteristic
328#486—21no—
329#486—21no—
330#486—21no—
331#486—41no—
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#486C2311yescharacteristic
336#486C2311yescharacteristic
337#486C2311yescharacteristic
338#486C2311yescharacteristic
339#486C2311yescharacteristic
340#486C2311yescharacteristic
341#486C2311yescharacteristic
342#486C2311yescharacteristic
343#486C2311yescharacteristic
344#486C2311yescharacteristic
345#485—21no—
346#485—21no—
347#485—21no—
348#485—21no—
349#485D411yescharacteristic
350#484—21no—
351#484—21no—
352#483—21no—
353#483—21no—
354#483—21no—
355#482—21no—
356#482—21no—
357#482—21no—
358#482—21no—
359#482—21no—
360#482D411yescharacteristic
361#481—21no—
362#481—21no—
363#480—21no—
364#480—21no—
365#480—21no—
366#479D411yescharacteristic
367#478—21no—
368#478—21no—
369#478—21no—
370#478D411yescharacteristic
371#477—21no—
372#477—21no—
373#477C2311yescharacteristic
374#477C2311yescharacteristic
375#476—21no—
376#476—21no—
377#476—21no—
378#476—21no—
379#476C2311yescharacteristic
380#476C2311yescharacteristic
381#475C2311yescharacteristic
382#475C2311yescharacteristic
383#475C2311yescharacteristic
384#475C2311yescharacteristic
385#474—21no—
386#474—21no—
387#474C2311yescharacteristic
388#474C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#470—21no—
392#470—21no—
393#470—21no—
394#469—21no—
395#469—21no—
396#469—21no—
397#469—21no—
398#469D411yescharacteristic
399#469D411yescharacteristic
400#468—21no—
401#468—21no—
402#468—21no—
403#468D411yescharacteristic
404#468D411yescharacteristic
405#467—21no—
406#467—21no—
407#467—21no—
408#466—21no—
409#466—21no—
410#466—21no—
411#466—21no—
412#466—21no—
413#465—21no—
414#465—21no—
415#465—21no—
416#465—21no—
417#465—41no—
418#464D411yescharacteristic
419#463—21no—
420#463—21no—
421#463—21no—
422#463—21no—
423#463—21no—
424#463—21no—
425#463—21no—
426#463—21no—
427#463—21no—
428#463—21no—
429#463—21no—
430#463D411yescharacteristic
431#462—21no—
432#462—21no—
433#462C2311yescharacteristic
434#462C2311yescharacteristic
435#462C2311yescharacteristic
436#461C2311yescharacteristic
437#461C2311yescharacteristic
438#461C2311yescharacteristic
439#461C2311yescharacteristic
440#461C2311yescharacteristic
441#460—21no—
442#460C2311yescharacteristic
443#460C2311yescharacteristic
444#460C2311yescharacteristic
445#459—21no—
446#459—21no—
447#459—21no—
448#459—21no—
449#459—21no—
450#459—21no—
451#459—21no—
452#459C2311yescharacteristic
453#459C2311yescharacteristic
454#459C2311yescharacteristic
455#459C2311yescharacteristic
456#459C2311yescharacteristic
457#459C2311yescharacteristic
458#459C2311yescharacteristic
459#459C2311yescharacteristic
460#459C2311yescharacteristic
461#452—21no—
462#452—21no—
463#452—21no—
464#452—21no—
465#452—21no—
466#452—21no—
467#452—21no—
468#452D411yescharacteristic
469#451—21no—
470#451—21no—
471#451—21no—
472#451—21no—
473#451—21no—
474#451—21no—
475#451—21no—
476#451—21no—
477#450—21no—
478#449—21no—
479#449—21no—
480#449—21no—
481#449—21no—
482#449—21no—
483#449—21no—
484#449D411yescharacteristic
485#448—21no—
486#448—21no—
487#448—21no—
488#448—21no—
489#447—21no—
490#447—21no—
491#447—21no—
492#447—21no—
493#447—21no—
494#447—21no—
495#447—21no—
496#447—21no—
497#447—21no—
498#447—21no—
499#447—21no—
500#446C2311yescharacteristic
501#446C2311yescharacteristic
502#446C2311yescharacteristic
503#446C2311yescharacteristic
504C8×Q8C2311yescharacteristic
505C8×Q8C2311yescharacteristic
506#442—21no—
507#442—21no—
508#442—21no—
509#442—21no—
510#442—21no—
511#442—21no—
512#441—21no—
513#440—21no—
514#440—21no—
515#440—21no—
516C4×Q16C2311yescharacteristic
517C4×SD16—41no—
518C4×SD16C2311yescharacteristic
519C4×SD16C2311yescharacteristic
520C4×SD16C2311yescharacteristic
521C4×SD16C2311yescharacteristic
522C4×D8—21no—
523C4×D8—21no—
524C4×D8—21no—
525C4×D8—21no—
526C4×D8C2311yescharacteristic
527C4×D8C2311yescharacteristic
528C4×D8C2311yescharacteristic
529#436—21no—
530#436—21no—
531#436C2311yescharacteristic
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#436C2311yescharacteristic
535#435—21no—
536#435—21no—
537#435—21no—
538#435—21no—
539#435—21no—
540#435—21no—
541C8×D4C2311yescharacteristic
542C8×D4C2311yescharacteristic
543C8×D4C2311yescharacteristic
544C8×D4C2311yescharacteristic
545C8×D4C2311yescharacteristic
546C8×D4C2311yescharacteristic
547#433—21no—
548#433—21no—
549#432—21no—
550#432C2311yescharacteristic
551#432C2311yescharacteristic
552#431C2311yescharacteristic
553#431C2311yescharacteristic
554#424—21no—
555#423C2311yescharacteristic
556#419—21no—
557#418—21no—
558#418—21no—
559#418—21no—
560#418—21no—
561#418—21no—
562#417—21no—
563#417—21no—
564#417—21no—
565#417—21no—
566#416—21no—
567#416—21no—
568#416—21no—
569C2×#103—21no—
570C2×#103—21no—
571C2×#103—21no—
572C2×#102—21no—
573C2×#102—21no—
574C2×#102—21no—
575C2×#102—41no—
576#408—21no—
577#408—21no—
578#405—21no—
579C4×M16C2311yescharacteristic
580C2×#97—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
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624C82C2311yescharacteristic
625C82C2311yescharacteristic
6262−1+4—82no—
6272−1+4—82no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—41no—
636C2×#41—41no—
637C2×#41—41no—
638C2×#41C2×D411yescharacteristic
639C22×Q8—21no—
640C22×Q8—21no—
641C22×Q8—21no—
642C22×Q8—21no—
643C22×Q8—21no—
644C22×Q8—41no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—41no—
653#137—82no—
654#137—82no—
655AGL(1,ℤ/8)—82no—
656AGL(1,ℤ/8)—82no—
657#135—82no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16—21no—
661C2×Q16—21no—
662C2×Q16—21no—
663C2×Q16—21no—
664C2×Q16—21no—
665C2×Q16—82no—
666C2×Q16C2×D411yescharacteristic
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—41no—
676C2×SD16C2×D411yescharacteristic
677C2×SD16C2×D411yescharacteristic
678C2×SD16C2×D411yescharacteristic
679C2×SD16C2×D411yescharacteristic
680C2×D8—21no—
681C2×D8—21no—
682C2×D8—21no—
683C2×D8—21no—
684C2×D8—21no—
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—82no—
694C2×D8C2×D411yescharacteristic
695C2×D8C2×D411yescharacteristic
696C2×D8C2×D411yescharacteristic
697C2×M16—21no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16—21no—
701C2×M16—21no—
702C2×M16C2×D411yescharacteristic
703C2×M16C2×D411yescharacteristic
704C22×C8—21no—
705C22×C8—21no—
706C22×C8—21no—
707C22×C8—21no—
708C22×C8—21no—
709C22×C8—21no—
710C22×C8—21no—
711C4⋊Q8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—21no—
714C4⋊Q8—21no—
715C4⋊Q8—21no—
716C4⋊Q8—21no—
717C4⋊Q8—21no—
718C4⋊Q8—41no—
719C4⋊Q8—41no—
720C4⋊Q8—41no—
721C4⋊Q8C2×D411yescharacteristic
722C4⋊Q8C2411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725C4⋊Q8C2411yescharacteristic
726C4⋊Q8C2411yescharacteristic
727#127—21no—
728#127—21no—
729#127—21no—
730#127—21no—
731#127—21no—
732#127C2×D411yescharacteristic
733#127C2411yescharacteristic
734#127C2411yescharacteristic
735#127C2411yescharacteristic
736#126—21no—
737#126—21no—
738#126—41no—
739#126—41no—
740#126—41no—
741#125—21no—
742#125—21no—
743#125—41no—
744#125C2×D411yescharacteristic
745#125C2×D411yescharacteristic
746#124—21no—
747#124—21no—
748#124—21no—
749#124—21no—
750#124—21no—
751#124—21no—
752#124—21no—
753#124—41no—
754#124—41no—
755#124—41no—
756#124—41no—
757#124—41no—
758#124—41no—
759#124—41no—
760#124C2×D411yescharacteristic
761#124C2×D411yescharacteristic
762#123—21no—
763#123—21no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773#123—41no—
774#123—41no—
775#123—41no—
776#123—41no—
777#123—41no—
778#123—41no—
779#123—41no—
780#123—41no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
790C22⋊Q8—21no—
791C22⋊Q8—21no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796C22⋊Q8—41no—
797C22⋊Q8—41no—
798C22⋊Q8—41no—
799C22⋊Q8—41no—
800C22⋊Q8—41no—
801C22⋊Q8—41no—
802C22⋊Q8C2×D411yescharacteristic
803C22⋊Q8C2×D411yescharacteristic
804#121—21no—
805#121—21no—
806#121—21no—
807#121—21no—
808#121—21no—
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—21no—
817#121—21no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121—41no—
830#121—41no—
831#121—41no—
832#121—41no—
833#121C2×D411yescharacteristic
834#121C2×D411yescharacteristic
835#121C2×D411yescharacteristic
836#121C2×D411yescharacteristic
837#120—41no—
838#120—41no—
839#120—41no—
840#120—41no—
841#120—41no—
842#120—41no—
843#120—41no—
844#120—41no—
845C4×Q8—21no—
846C4×Q8—21no—
847C4×Q8—21no—
848C4×Q8C2×D411yescharacteristic
849C4×Q8C2411yescharacteristic
850C4×Q8C2411yescharacteristic
851C4×Q8C2411yescharacteristic
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—21no—
866C4×D4—21no—
867C4×D4—21no—
868C4×D4—21no—
869C4×D4—21no—
870C4×D4—41no—
871C4×D4—41no—
872C4×D4—41no—
873C4×D4—41no—
874C4×D4C2×D411yescharacteristic
875C4×D4C2411yescharacteristic
876C4×D4C2411yescharacteristic
877C4×D4C2411yescharacteristic
878C4×D4C2411yescharacteristic
879C4×D4C2411yescharacteristic
880#117—21no—
881#117—21no—
882#117—21no—
883#117—21no—
884#117—21no—
885#117—21no—
886#117—21no—
887#117—41no—
888#117—41no—
889#117C2×D411yescharacteristic
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C42—21no—
902C2×C42C2411yescharacteristic
903#107—21no—
904#107—21no—
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107C2×D411yescharacteristic
910#107C2×D411yescharacteristic
911#107C2×D411yescharacteristic
912#107C2×D411yescharacteristic
913#106—21no—
914#106—21no—
915#106—21no—
916#106—21no—
917#106—21no—
918#106—21no—
919#106—41no—
920#106C2×D411yescharacteristic
921#106C2×D411yescharacteristic
922#106C2×D411yescharacteristic
923#106C2×D411yescharacteristic
924C4⋊C8—21no—
925C4⋊C8—21no—
926C4⋊C8—21no—
927C4⋊C8—21no—
928C4⋊C8—21no—
929C4⋊C8—21no—
930C4⋊C8—21no—
931C4⋊C8C2×D411yescharacteristic
932C4⋊C8C2×D411yescharacteristic
933C4⋊C8C2411yescharacteristic
934C4⋊C8C2411yescharacteristic
935C4⋊C8C2411yescharacteristic
936C4⋊C8C2411yescharacteristic
937C4⋊C8C2411yescharacteristic
938C4⋊C8C2411yescharacteristic
939C4⋊C8C2411yescharacteristic
940C4⋊C8C2411yescharacteristic
941#103—21no—
942#103—21no—
943#103—21no—
944#103—21no—
945#103—21no—
946#103—21no—
947#103—21no—
948#103—21no—
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—41no—
964#103C2×D411yescharacteristic
965#103C2×D411yescharacteristic
966#103C2×D411yescharacteristic
967#103C2×D411yescharacteristic
968#103C2×D411yescharacteristic
969#103C2×D411yescharacteristic
970#102—21no—
971#102—21no—
972#102—21no—
973#102—21no—
974#102—21no—
975#102—21no—
976#102—21no—
977#102—21no—
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—41no—
1005#102—41no—
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
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
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⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8C2×D411yescharacteristic
1033C22⋊C8C2×D411yescharacteristic
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040#97C2×D411yescharacteristic
1041#97C2×D411yescharacteristic
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—41no—
1053C24—41no—
1054C24—41no—
1055#41—22no—
1056#41—41no—
1057#41—42no—
1058#41—42no—
1059#41—81no—
1060#41—81no—
1061#41—81no—
1062#41—81no—
1063#41—81no—
1064#41—81no—
1065#41—84no—
1066#41—81no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—84no—
1073#41—84no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—41no—
1081C2×Q8—41no—
1082C2×Q8—41no—
1083C2×Q8—41no—
1084C2×Q8—41no—
1085C2×Q8—42no—
1086C2×Q8—42no—
1087C2×Q8—81no—
1088C2×Q8—81no—
1089C2×Q8—81no—
1090C2×Q8—81no—
1091C2×Q8—84no—
1092C2×Q8—81no—
1093C2×Q8—81no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8C22×D411yescharacteristic
1097C2×Q8C22×D411yescharacteristic
1098C2×Q8C22×D411yescharacteristic
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—42no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—82no—
1144C2×D4—162no—
1145C2×D4C22×D411yescharacteristic
1146C2×D4C22×D411yescharacteristic
1147C2×D4C22×D411yescharacteristic
1148C2×D4C22×D411yescharacteristic
1149C2×D4C22×D411yescharacteristic
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4C22×D411yescharacteristic
1172C22×C4C22×D411yescharacteristic
1173C22×C4H(5,𝔽2)11yescharacteristic
1174Q16—41no—
1175Q16—42no—
1176Q16—81no—
1177Q16—81no—
1178Q16—81no—
1179Q16—81no—
1180Q16—81no—
1181Q16—81no—
1182SD16—22no—
1183SD16—41no—
1184SD16—41no—
1185SD16—41no—
1186SD16—42no—
1187SD16—81no—
1188SD16—81no—
1189SD16—81no—
1190SD16—81no—
1191SD16—81no—
1192SD16—81no—
1193SD16—81no—
1194SD16—82no—
1195D8—22no—
1196D8—41no—
1197D8—41no—
1198D8—42no—
1199D8—42no—
1200D8—81no—
1201D8—81no—
1202D8—81no—
1203D8—81no—
1204D8—81no—
1205D8—81no—
1206D8—81no—
1207D8—81no—
1208D8—81no—
1209D8—81no—
1210D8—81no—
1211M16—41no—
1212M16—41no—
1213M16—81no—
1214M16—81no—
1215M16—81no—
1216M16—81no—
1217M16—81no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—81no—
1229C2×C8—81no—
1230C2×C8—81no—
1231C2×C8—81no—
1232C2×C8—81no—
1233C2×C8—81no—
1234C2×C8—81no—
1235C2×C8C22×D411yescharacteristic
1236C2×C8C22×D411yescharacteristic
1237C2×C8C22×D411yescharacteristic
1238C2×C8C22×D411yescharacteristic
1239C2×C8C22×D411yescharacteristic
1240C2×C8C22×D411yescharacteristic
1241C2×C8C22×D411yescharacteristic
1242C2×C8C22×D411yescharacteristic
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—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
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⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4C22×D411yescharacteristic
1279C4⋊C4C22×D411yescharacteristic
1280C4⋊C4C22×D411yescharacteristic
1281C4⋊C4C22×D411yescharacteristic
1282C4⋊C4C22×D411yescharacteristic
1283C4⋊C4C22×D411yescharacteristic
1284C4⋊C4C22×D411yescharacteristic
1285C4⋊C4C22×D411yescharacteristic
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—21no—
1297C22⋊C4—21no—
1298C22⋊C4—21no—
1299C22⋊C4—21no—
1300C22⋊C4—21no—
1301C22⋊C4—21no—
1302C22⋊C4—21no—
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—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C42—21no—
1329C42—21no—
1330C42—21no—
1331C42—21no—
1332C42—21no—
1333C42—41no—
1334C42—41no—
1335C42—41no—
1336C42C22×D411yescharacteristic
1337C42C22×D411yescharacteristic
1338C42H(5,𝔽2)11yescharacteristic
1339C42C2511yescharacteristic
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—82no—
1349C23—82no—
1350C23—161no—
1351C23—161no—
1352C23—161no—
1353C23—161no—
1354C23—161no—
1355C23—161no—
1356C23—161no—
1357C23D4211yescharacteristic
1358Q8—21no—
1359Q8—21no—
1360Q8—21no—
1361Q8—21no—
1362Q8—21no—
1363Q8—21no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—81no—
1373Q8—81no—
1374Q8—82no—
1375Q8—82no—
1376Q8—82no—
1377Q8—161no—
1378Q8—161no—
1379D4—21no—
1380D4—21no—
1381D4—21no—
1382D4—21no—
1383D4—21no—
1384D4—21no—
1385D4—21no—
1386D4—21no—
1387D4—21no—
1388D4—42no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—81no—
1402D4—81no—
1403D4—81no—
1404D4—81no—
1405D4—81no—
1406D4—81no—
1407D4—81no—
1408D4—81no—
1409D4—81no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—161no—
1414D4—161no—
1415D4—161no—
1416D4—161no—
1417D4—161no—
1418D4—161no—
1419D4—161no—
1420D4—161no—
1421D4—161no—
1422D4—161no—
1423D4—161no—
1424D4—161no—
1425D4—161no—
1426D4#57612yes—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—41no—
1443C2×C4—42no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—81no—
1460C2×C4—82no—
1461C2×C4—82no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—161no—
1466C2×C4—161no—
1467C2×C4—161no—
1468C2×C4—161no—
1469C2×C4—161no—
1470C2×C4—161no—
1471C2×C4—161no—
1472C2×C4—161no—
1473C2×C4—161no—
1474C2×C4D4211yescharacteristic
1475C2×C4D4211yescharacteristic
1476C2×C4D4211yescharacteristic
1477C2×C4C23×D411yescharacteristic
1478C2×C4C23×D411yescharacteristic
1479C2×C4C2×H(5,𝔽2)11yescharacteristic
1480C8—21no—
1481C8—21no—
1482C8—21no—
1483C8—21no—
1484C8—21no—
1485C8—21no—
1486C8—21no—
1487C8—21no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C8—41no—
1497C8—41no—
1498C22—21no—
1499C22—22no—
1500C22—21no—
1501C22—21no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—322no—
1526C22—322no—
1527C22—322no—
1528C22C2×D4211yescharacteristic
1529C4—21no—
1530C4—21no—
1531C4—21no—
1532C4—21no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—81no—
1545C4—81no—
1546C4—81no—
1547C4—81no—
1548C4—81no—
1549C4C2×#57611yescharacteristic
1550C4#358411yescharacteristic
1551C4#358411yescharacteristic
1552C4#358511yescharacteristic
1553C2—41no—
1554C2—42no—
1555C2—81no—
1556C2—81no—
1557C2—81no—
1558C2—81no—
1559C2—161no—
1560C2—161no—
1561C2—161no—
1562C2#6107211yescharacteristic
1563C2#6109011yescharacteristic
1564C2#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. #62610C2semidirect
2. #62583C2semidirect
3. #62031C2semidirect
4. #61693C2semidirect
5. #20298C2semidirect
6. #20287C2semidirect
7. #20260C2semidirect
8. #20196C2semidirect
9. #20164C2semidirect
10. #20161C2semidirect
11. #19991C2semidirect
12. #19968C2semidirect
13. #19935C2semidirect
14. #19934C2semidirect
15. #19916C2semidirect
16. #19886C2semidirect
17. #19841C2semidirect
18. #19835C2semidirect
19. #19779C2semidirect
20. #19771C2semidirect
21. #19627C2semidirect
22. #19539C2semidirect
23. #19506C2semidirect
24. #19383C2semidirect
25. #19316C2semidirect
26. #18706C2semidirect
27. #18689C2semidirect
28. #18659C2semidirect
29. #18640C2semidirect
30. #17996C2semidirect
31. #17968C2semidirect
32. #3547C22semidirect
35. #3499C22semidirect
39. #3373C22semidirect
40. #3373C22semidirect
41. #3373C22semidirect
42. #3367C22semidirect
43. #3367C22semidirect
45. #3361C22semidirect
48. #3332C22semidirect
49. #3331C22semidirect
50. #3329C22semidirect
65. #3305C22semidirect
67. #3303C22semidirect
68. #3299C22semidirect
69. #3298C22semidirect
70. #3298C22semidirect
72. #3294C22semidirect
73. #3294C22semidirect
74. D4×Q16C22semidirect
75. #3283C22semidirect
77. #3276C22semidirect
78. #3276C22semidirect
92. #3218C22semidirect
93. #3214C22semidirect
95. #3209C22semidirect
97. #3205C22semidirect
103. #3167C22semidirect
104. #3141C22semidirect
105. #3138C22semidirect
108. C2×#486C22semidirect
110. #3116C22semidirect
117. #2981C22semidirect
118. #2970C22semidirect
119. #2969C22semidirect
120. #1720C22semidirect
121. #1720C22semidirect
123. #1717C22semidirect
124. #1711C22semidirect
125. #1711C22semidirect
127. #1709C22semidirect
128. #1704C22semidirect
129. #1703C22semidirect
130. #1702C22semidirect
131. #1702C22semidirect
132. #1702C22semidirect
133. #1701C22semidirect
134. #1701C22semidirect
135. #1701C22semidirect
136. #1700C22semidirect
137. #1699C22semidirect
138. #1698C22semidirect
139. #1698C22semidirect
140. #1690C22semidirect
141. #1689C22semidirect
142. #1687C22semidirect
143. #1687C22semidirect
144. #1684C22semidirect
145. #1683C22semidirect
146. #1682C22semidirect
148. #1681C22semidirect
149. #1681C22semidirect
150. #1681C22semidirect
151. #1681C22semidirect
152. #1680C22semidirect
153. #1679C22semidirect
155. #1677C22semidirect
156. #1670C22semidirect
157. #1669C22semidirect
160. #1654C22semidirect
161. #1652C22semidirect
162. #1651C22semidirect
163. #1651C22semidirect
164. #1646C22semidirect
165. #1643C22semidirect
166. #1642C22semidirect
167. #1642C22semidirect
170. #1640C22semidirect
171. #1640C22semidirect
172. #1640C22semidirect
175. #1639C22semidirect
176. #1638C22semidirect
177. #1637C22semidirect
178. #1630C22semidirect
179. #1629C22semidirect
180. #1627C22semidirect
181. #1627C22semidirect
182. #1627C22semidirect
183. #1627C22semidirect
184. #1627C22semidirect
187. #1625C22semidirect
188. #1625C22semidirect
189. #1625C22semidirect
190. #1624C22semidirect
191. #1622C22semidirect
192. #1594C22semidirect
193. #1592C22semidirect
194. #1591C22semidirect
195. #1590C22semidirect
196. #1590C22semidirect
197. #1589C22semidirect
198. #1584C22semidirect
199. #1582C22semidirect
200. #1582C22semidirect
201. #1581C22semidirect
202. #1580C22semidirect
203. SD16⋊C8C22semidirect
204. C8×SD16C22semidirect
205. C8×SD16C22semidirect
206. C8×D8C22semidirect
207. C8×D8C22semidirect
208. #1572C22semidirect
209. #1569C22semidirect
210. #1559C22semidirect
211. #1555C22semidirect
212. #1553C22semidirect
213. #1546C22semidirect
215. #1494C22semidirect
216. #1492C22semidirect
217. #1476C22semidirect
218. C8×M16C22semidirect

Maximal subgroups

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

subgroupindex
#626102
#625832
#620312
#616932
#202982
#202872
#202602
#201962
#201642
#201612
#199912
#199682
#199352
#199342
#199162
#198862
#198412
#198352
#197792
#197712
#196272
#195392
#195062
#193832
#193162
#187062
#186892
#186592
#186402
#179962
#179682