Finite Group Databasebeta

← #6367807

Subgroups — #6367807

Order 512.

1657 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62610C211yesmaximal, characteristic, complemented
2#62576C211yesmaximal, characteristic, complemented
3#62033C211yesmaximal, characteristic, complemented
4#61689C211yesmaximal, characteristic, complemented
5#20312C211yesmaximal, characteristic, complemented
6#20308C211yesmaximal, characteristic, complemented
7#20264C211yesmaximal, characteristic, complemented
8#20191C211yesmaximal, characteristic, complemented
9#20173C211yesmaximal, characteristic, complemented
10#20159C211yesmaximal, characteristic, complemented
11#19996C211yesmaximal, characteristic, complemented
12#19970C211yesmaximal, characteristic, complemented
13#19922C211yesmaximal, characteristic, complemented
14#19911C211yesmaximal, characteristic, complemented
15#19911C211yesmaximal, characteristic, complemented
16#19884C211yesmaximal, characteristic, complemented
17#19799C211yesmaximal, characteristic, complemented
18#19789C211yesmaximal, characteristic, complemented
19#19788C211yesmaximal, characteristic, complemented
20#19788C211yesmaximal, characteristic, complemented
21#19635C211yesmaximal, characteristic, complemented
22#19537C211yesmaximal, characteristic, complemented
23#19504C211yesmaximal, characteristic, complemented
24#19380C211yesmaximal, characteristic, complemented
25#19316C211yesmaximal, characteristic, complemented
26#18707C211yesmaximal, characteristic, complemented
27#18682C211yesmaximal, characteristic, complemented
28#18661C211yesmaximal, characteristic, complemented
29#18620C211yesmaximal, characteristic, complemented
30#17996C211yesmaximal, characteristic, complemented
31#17968C211yesmaximal, characteristic, complemented
32#3547C2211yescharacteristic
33#3543C2211yescharacteristic, complemented
34#3515C2211yescharacteristic
35#3498C2211yescharacteristic, complemented
36#3400C2211yescharacteristic, complemented
37#3392C2211yescharacteristic, complemented
38#3373C2211yescharacteristic, complemented
39#3368C2211yescharacteristic, complemented
40#3368C2211yescharacteristic, complemented
41#3366C2211yescharacteristic, complemented
42#3366C2211yescharacteristic, complemented
43#3366C2211yescharacteristic, complemented
44#3366C2211yescharacteristic, complemented
45#3361C2211yescharacteristic, complemented
46#3361C2211yescharacteristic, complemented
47#3358C2211yescharacteristic, complemented
48#3333C2211yescharacteristic, complemented
49#3333C2211yescharacteristic, complemented
50#3332C2211yescharacteristic, complemented
51#3325—21no—
52#3325C2211yescharacteristic, complemented
53#3325C2211yescharacteristic, complemented
54#3323—21no—
55#3322—21no—
56#3319—21no—
57#3318—21no—
58#3318—21no—
59#3318—21no—
60#3317—21no—
61#3310—21no—
62#3310—21no—
63#3310—21no—
64#3310—21no—
65#3305C2211yescharacteristic, complemented
66#3305C2211yescharacteristic, complemented
67#3295C2211yescharacteristic, complemented
68#3295C2211yescharacteristic, complemented
69#3295C2211yescharacteristic, complemented
70#3295C2211yescharacteristic, complemented
71#3294C2211yescharacteristic, complemented
72#3294C2211yescharacteristic, complemented
73#3294C2211yescharacteristic, complemented
74#3284C2211yescharacteristic, complemented
75#3284C2211yescharacteristic, complemented
76D4×SD16C2211yescharacteristic, complemented
77#3278C2211yescharacteristic, complemented
78#3272—21no—
79#3272C2211yescharacteristic, complemented
80#3272C2211yescharacteristic, complemented
81#3271—21no—
82#3267—21no—
83#3265—21no—
84#3260—21no—
85#3252C2211yescharacteristic, complemented
86#3241—21no—
87#3235C2211yescharacteristic, complemented
88#3234—21no—
89#3233C2211yescharacteristic, complemented
90#3222—21no—
91#3220—21no—
92#3217—21no—
93#3217C2211yescharacteristic
94#3217C2211yescharacteristic
95#3208C2211yescharacteristic, complemented
96#3208C2211yescharacteristic, complemented
97#3205C2211yescharacteristic
98#3200—21no—
99#3198—21no—
100#3180—21no—
101#3176—21no—
102#3171C2211yescharacteristic
103#3170C2211yescharacteristic, complemented
104C2×#493C2211yescharacteristic
105#3138C2211yescharacteristic, complemented
106#3138C2211yescharacteristic, complemented
107#3136—21no—
108C2×#490—21no—
109#3119—21no—
110#3116C2211yescharacteristic, complemented
111#3102C2211yescharacteristic
112#3045—21no—
113#3038C2211yescharacteristic
114#3012—21no—
115#3009—21no—
116#2993C2211yescharacteristic, complemented
117#2981C2211yescharacteristic, complemented
118#2970C2211yescharacteristic, complemented
119#2969C2211yescharacteristic, complemented
120#1717C2211yescharacteristic, complemented
121#1717C2211yescharacteristic, complemented
122#1717C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1709C2211yescharacteristic, complemented
125#1709C2211yescharacteristic, complemented
126#1706C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1698C2211yescharacteristic, complemented
133#1698C2211yescharacteristic, complemented
134#1698C2211yescharacteristic, complemented
135#1698C2211yescharacteristic, complemented
136#1697C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1697C2211yescharacteristic, complemented
139#1697C2211yescharacteristic, complemented
140#1686C2211yescharacteristic, complemented
141#1685C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1682C2211yescharacteristic, complemented
145#1681C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1678C2211yescharacteristic, complemented
149#1678C2211yescharacteristic, complemented
150#1677C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1677C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1677C2211yescharacteristic, complemented
155#1677C2211yescharacteristic, complemented
156#1666C2211yescharacteristic, complemented
157#1665C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1649C2211yescharacteristic, complemented
161#1648C2211yescharacteristic, complemented
162#1647C2211yescharacteristic, complemented
163#1647C2211yescharacteristic, complemented
164#1646C2211yescharacteristic, complemented
165#1644C2211yescharacteristic, complemented
166#1644C2211yescharacteristic, complemented
167#1643C2211yescharacteristic, complemented
168#1637C2211yescharacteristic, complemented
169#1636C2211yescharacteristic, complemented
170#1635C2211yescharacteristic, complemented
171#1635C2211yescharacteristic, complemented
172#1634C2211yescharacteristic, complemented
173#1632C2211yescharacteristic, complemented
174#1632C2211yescharacteristic, complemented
175#1632C2211yescharacteristic, complemented
176#1621C2211yescharacteristic
177#1621C2211yescharacteristic
178#1621C2211yescharacteristic, complemented
179#1621C2211yescharacteristic, complemented
180#1621C2211yescharacteristic, complemented
181#1621C2211yescharacteristic, complemented
182#1621C2211yescharacteristic, complemented
183#1621C2211yescharacteristic, complemented
184#1620C2211yescharacteristic, complemented
185#1620C2211yescharacteristic, complemented
186#1619C2211yescharacteristic
187#1619C2211yescharacteristic
188#1619C2211yescharacteristic, complemented
189#1619C2211yescharacteristic, complemented
190#1619C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, 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#1554C2211yescharacteristic, complemented
213#1545C2211yescharacteristic, complemented
214#1494C2211yescharacteristic, complemented
215#1494C2211yescharacteristic, complemented
216#1492C2211yescharacteristic, complemented
217#1476C2211yescharacteristic, complemented
218C8×M16C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C2×#137—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×#135—21no—
225C2×#135—21no—
226C22×SD16—21no—
227C22×D8—41no—
228#562—41no—
229#560—41no—
230#559C2311yescharacteristic
231#557C2311yescharacteristic
232#555—21no—
233#555C2311yescharacteristic
234#554C2311yescharacteristic
235#554C2311yescharacteristic
236#554C2311yescharacteristic
237#553—21no—
238#553—21no—
239#552—21no—
240#552—21no—
241#552—21no—
242#552—41no—
243#550—21no—
244#550C2311yescharacteristic
245#550C2311yescharacteristic
246#550C2311yescharacteristic
247#550C2311yescharacteristic
248D4×Q8C2311yescharacteristic
249#548—21no—
250#547—21no—
251#547C2311yescharacteristic
252#547C2311yescharacteristic
253#546—21no—
254#546—21no—
255D42—21no—
256D42—21no—
257D42—21no—
258D42—21no—
259D42—21no—
260D42—41no—
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263D42C2311yescharacteristic
264#544—21no—
265#542—41no—
266#541—21no—
267#540—21no—
268#540—21no—
269#540—21no—
270#539—41no—
271#537—21no—
272#536—21no—
273#535—21no—
274#535—21no—
275#535—21no—
276#535—41no—
277#534—41no—
278#533C2311yescharacteristic
279#533C2311yescharacteristic
280#532—21no—
281#532C2311yescharacteristic
282C2×#127—21no—
283C2×#127C2311yescharacteristic
284C2×#127C2311yescharacteristic
285#529—21no—
286#529C2311yescharacteristic
287#529C2311yescharacteristic
288C2×#125—21no—
289#520—21no—
290C4×#41C2311yescharacteristic
291#501—21no—
292#501D411yescharacteristic
293#500C2311yescharacteristic
294#499—21no—
295#497—21no—
296#496—21no—
297#496—21no—
298#496D411yescharacteristic
299#494C2311yescharacteristic
300#493—21no—
301#493—41no—
302#493C2311yescharacteristic
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#493C2311yescharacteristic
306#492—21no—
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#492C2311yescharacteristic
310#492C2311yescharacteristic
311#490—21no—
312#490—21no—
313#490—21no—
314#490—21no—
315#490—21no—
316#490—21no—
317#490—21no—
318#490—21no—
319#490—21no—
320#490—21no—
321#490—21no—
322#490—21no—
323#490—21no—
324#490D411yescharacteristic
325#489—21no—
326#489D411yescharacteristic
327#488—21no—
328#488—21no—
329#488—21no—
330#487C2311yescharacteristic
331#487C2311yescharacteristic
332#486—21no—
333#486—21no—
334#486C2311yescharacteristic
335#486C2311yescharacteristic
336#486C2311yescharacteristic
337#486C2311yescharacteristic
338#486C2311yescharacteristic
339#486C2311yescharacteristic
340#486C2311yescharacteristic
341#486C2311yescharacteristic
342#486C2311yescharacteristic
343#486C2311yescharacteristic
344#486C2311yescharacteristic
345#486C2311yescharacteristic
346#485—21no—
347#485—21no—
348#485D411yescharacteristic
349#482—21no—
350#482—21no—
351#482—21no—
352#482—21no—
353#482—21no—
354#482—21no—
355#482—21no—
356#482D411yescharacteristic
357#481—21no—
358#481—21no—
359#481—21no—
360#481—21no—
361#481—21no—
362#480—21no—
363#480—21no—
364#480—21no—
365#480—21no—
366#480—21no—
367#479—21no—
368#479D411yescharacteristic
369#478—21no—
370#478—21no—
371#478—21no—
372#478—21no—
373#478—21no—
374#478—21no—
375#478—21no—
376#478—21no—
377#478D411yescharacteristic
378#477C2311yescharacteristic
379#477C2311yescharacteristic
380#477C2311yescharacteristic
381#476—21no—
382#476C2311yescharacteristic
383#476C2311yescharacteristic
384#476C2311yescharacteristic
385#476C2311yescharacteristic
386#476C2311yescharacteristic
387#475C2311yescharacteristic
388#474—21no—
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#470—21no—
393#469—21no—
394#469—21no—
395#469—21no—
396#469D411yescharacteristic
397#469D411yescharacteristic
398#468—21no—
399#468—21no—
400#468—21no—
401#468—21no—
402#468—21no—
403#468—21no—
404#468D411yescharacteristic
405#468D411yescharacteristic
406#467—41no—
407#466—21no—
408#466—21no—
409#466—21no—
410#466—21no—
411#466—21no—
412#465—21no—
413#465—21no—
414#465—21no—
415#465—21no—
416#465—21no—
417#465—21no—
418#465—21no—
419#464—21no—
420#464—21no—
421#464D411yescharacteristic
422#463—21no—
423#463—21no—
424#463—21no—
425#463D411yescharacteristic
426#462C2311yescharacteristic
427#462C2311yescharacteristic
428#461—21no—
429#461—21no—
430#461C2311yescharacteristic
431#461C2311yescharacteristic
432#460—21no—
433#460—21no—
434#460—21no—
435#460—21no—
436#460—21no—
437#460—21no—
438#460—21no—
439#460—21no—
440#460C2311yescharacteristic
441#460C2311yescharacteristic
442#460C2311yescharacteristic
443#460C2311yescharacteristic
444#460C2311yescharacteristic
445#460C2311yescharacteristic
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#459C2311yescharacteristic
462#452—21no—
463#452—21no—
464#452—21no—
465#452—21no—
466#452—21no—
467#452—21no—
468#452D411yescharacteristic
469#450—21no—
470#450—21no—
471#450—21no—
472#450—21no—
473#450—21no—
474#450—21no—
475#450—21no—
476#450—21no—
477#450—21no—
478#450—21no—
479#450—21no—
480#450—21no—
481#450—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449—21no—
489#449D411yescharacteristic
490#448—21no—
491#448—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#447—21no—
501#446C2311yescharacteristic
502#446C2311yescharacteristic
503#446C2311yescharacteristic
504#446C2311yescharacteristic
505C8×Q8C2311yescharacteristic
506C8×Q8C2311yescharacteristic
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—
516#440—21no—
517C4×Q16—41no—
518C4×Q16C2311yescharacteristic
519C4×SD16—21no—
520C4×SD16C2311yescharacteristic
521C4×SD16C2311yescharacteristic
522C4×SD16C2311yescharacteristic
523C4×SD16C2311yescharacteristic
524C4×D8—21no—
525C4×D8—21no—
526C4×D8—21no—
527C4×D8C2311yescharacteristic
528C4×D8C2311yescharacteristic
529C4×D8C2311yescharacteristic
530#436—21no—
531#436—21no—
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#436C2311yescharacteristic
535#436C2311yescharacteristic
536#435—21no—
537#435—21no—
538#435—21no—
539#435—21no—
540#435—21no—
541#435—21no—
542C8×D4C2311yescharacteristic
543C8×D4C2311yescharacteristic
544C8×D4C2311yescharacteristic
545C8×D4C2311yescharacteristic
546C8×D4C2311yescharacteristic
547C8×D4C2311yescharacteristic
548#433—21no—
549#433—21no—
550#432—21no—
551#432C2311yescharacteristic
552#432C2311yescharacteristic
553#431C2311yescharacteristic
554#431C2311yescharacteristic
555#424—21no—
556#423C2311yescharacteristic
557#418—21no—
558#418—21no—
559#418—21no—
560#418—21no—
561#418—21no—
562#418—21no—
563#418—21no—
564#417—21no—
565#417—21no—
566#417—21no—
567#416—21no—
568#416—21no—
569C2×#102—21no—
570C2×#102—21no—
571C2×#102—21no—
572C2×#102—21no—
573C2×#102—21no—
574C2×#102—21no—
575C2×#102—21no—
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#333C2311yescharacteristic
593#333C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#331C2311yescharacteristic
599#331C2311yescharacteristic
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
626H(5,𝔽2)—82no—
627H(5,𝔽2)—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×#41C2×D411yescharacteristic
637C22×Q8—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—41no—
651C22×D4—41no—
652C22×D4—41no—
653C22×D4—41no—
654C22×D4—41no—
655#137—82no—
656AGL(1,ℤ/8)—82no—
657AGL(1,ℤ/8)—82no—
658AGL(1,ℤ/8)—82no—
659#135—82no—
660#135—82no—
661C2×Q16—21no—
662C2×Q16—21no—
663C2×Q16—41no—
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×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—82no—
682C2×SD16C2×D411yescharacteristic
683C2×SD16C2×D411yescharacteristic
684C2×SD16C2×D411yescharacteristic
685C2×SD16C2×D411yescharacteristic
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—21no—
695C2×D8—21no—
696C2×D8—41no—
697C2×D8—41no—
698C2×D8—41no—
699C2×D8—41no—
700C2×D8—84no—
701C2×D8C2×D411yescharacteristic
702C2×D8C2×D411yescharacteristic
703C2×D8C2×D411yescharacteristic
704C2×M16—21no—
705C2×M16—21no—
706C2×M16—21no—
707C2×M16—21no—
708C2×M16—21no—
709C2×M16C2×D411yescharacteristic
710C2×M16C2×D411yescharacteristic
711C22×C8—21no—
712C22×C8—21no—
713C22×C8—21no—
714C22×C8—21no—
715C22×C8—21no—
716C22×C8—21no—
717C22×C8—21no—
718C4⋊Q8—21no—
719C4⋊Q8—21no—
720C4⋊Q8—41no—
721C4⋊Q8C2×D411yescharacteristic
722C4⋊Q8C2411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725C4⋊Q8C2411yescharacteristic
726#127—21no—
727#127—21no—
728#127—21no—
729#127—21no—
730#127—21no—
731#127—21no—
732#127—21no—
733#127—21no—
734#127—21no—
735#127—21no—
736#127—41no—
737#127—41no—
738#127C2×D411yescharacteristic
739#127C2411yescharacteristic
740#127C2411yescharacteristic
741#127C2411yescharacteristic
742#127C2411yescharacteristic
743#126—21no—
744#126—21no—
745#126—41no—
746#126—41no—
747#126—41no—
748#126—41no—
749#125—21no—
750#125—21no—
751#125—21no—
752#125—21no—
753#125—21no—
754#125—21no—
755#125—41no—
756#125—41no—
757#125—41no—
758#125—41no—
759#125—41no—
760#125C2×D411yescharacteristic
761#125C2×D411yescharacteristic
762#124—21no—
763#124—21no—
764#124—21no—
765#124—41no—
766#124—41no—
767#124—41no—
768#124—41no—
769#124C2×D411yescharacteristic
770#124C2×D411yescharacteristic
771#123—21no—
772#123—21no—
773#123—41no—
774#123—41no—
775#123—41no—
776#123—41no—
777#123—41no—
778#123—41no—
779#123—41no—
780#123—41no—
781#123—41no—
782#123—41no—
783#123—41no—
784#123—41no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
790C22⋊Q8—21no—
791C22⋊Q8—21no—
792C22⋊Q8—21no—
793C22⋊Q8—21no—
794C22⋊Q8—21no—
795C22⋊Q8—41no—
796C22⋊Q8—41no—
797C22⋊Q8—41no—
798C22⋊Q8—41no—
799C22⋊Q8—41no—
800C22⋊Q8—41no—
801C22⋊Q8C2×D411yescharacteristic
802C22⋊Q8C2×D411yescharacteristic
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—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#121—41no—
834#121—41no—
835#121—41no—
836#121C2×D411yescharacteristic
837#121C2×D411yescharacteristic
838#121C2×D411yescharacteristic
839#121C2×D411yescharacteristic
840#120—41no—
841#120—41no—
842#120—41no—
843#120—41no—
844#120—41no—
845#120—41no—
846#120—41no—
847#120—41no—
848#120—41no—
849#120—41no—
850#120—41no—
851#120—41no—
852C4×Q8—21no—
853C4×Q8—21no—
854C4×Q8—21no—
855C4×Q8—21no—
856C4×Q8—21no—
857C4×Q8—21no—
858C4×Q8C2×D411yescharacteristic
859C4×Q8C2411yescharacteristic
860C4×Q8C2411yescharacteristic
861C4×Q8C2411yescharacteristic
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—21no—
871C4×D4—21no—
872C4×D4—21no—
873C4×D4—21no—
874C4×D4—21no—
875C4×D4—21no—
876C4×D4—21no—
877C4×D4—41no—
878C4×D4—41no—
879C4×D4—41no—
880C4×D4—41no—
881C4×D4C2×D411yescharacteristic
882C4×D4C2411yescharacteristic
883C4×D4C2411yescharacteristic
884C4×D4C2411yescharacteristic
885C4×D4C2411yescharacteristic
886C4×D4C2411yescharacteristic
887#117—21no—
888#117—21no—
889#117—21no—
890#117—21no—
891#117—21no—
892#117—21no—
893#117—21no—
894#117—41no—
895#117—41no—
896#117—41no—
897#117C2×D411yescharacteristic
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4—21no—
903C2×C4⋊C4—41no—
904C2×C4⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C42—21no—
907C2×C42C2411yescharacteristic
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107—21no—
913#107—21no—
914#107—41no—
915#107C2×D411yescharacteristic
916#107C2×D411yescharacteristic
917#107C2×D411yescharacteristic
918#107C2×D411yescharacteristic
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—21no—
924#106—21no—
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⋊C8C2×D411yescharacteristic
937C4⋊C8C2×D411yescharacteristic
938C4⋊C8C2411yescharacteristic
939C4⋊C8C2411yescharacteristic
940C4⋊C8C2411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
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—41no—
955#103—41no—
956#103C2×D411yescharacteristic
957#103C2×D411yescharacteristic
958#103C2×D411yescharacteristic
959#103C2×D411yescharacteristic
960#103C2×D411yescharacteristic
961#103C2×D411yescharacteristic
962#102—21no—
963#102—21no—
964#102—21no—
965#102—21no—
966#102—21no—
967#102—21no—
968#102—21no—
969#102—21no—
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—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
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
1019#102C2×D411yescharacteristic
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⋊C8—21no—
1033C22⋊C8C2×D411yescharacteristic
1034C22⋊C8C2×D411yescharacteristic
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040#97—21no—
1041#97C2×D411yescharacteristic
1042#97C2×D411yescharacteristic
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—41no—
1054C24—41no—
1055C24—41no—
1056C24—41no—
1057C24—41no—
1058#41—22no—
1059#41—41no—
1060#41—42no—
1061#41—42no—
1062#41—42no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—84no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—41no—
1081C2×Q8—81no—
1082C2×Q8—81no—
1083C2×Q8C22×D411yescharacteristic
1084C2×Q8C22×D411yescharacteristic
1085C2×Q8C22×D411yescharacteristic
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—81no—
1131C2×D4—81no—
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—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—84no—
1149C2×D4—82no—
1150C2×D4—82no—
1151C2×D4—84no—
1152C2×D4—84no—
1153C2×D4—162no—
1154C2×D4—162no—
1155C2×D4C22×D411yescharacteristic
1156C2×D4C22×D411yescharacteristic
1157C2×D4C22×D411yescharacteristic
1158C2×D4C22×D411yescharacteristic
1159C2×D4C22×D411yescharacteristic
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4C22×D411yescharacteristic
1179C22×C4C22×D411yescharacteristic
1180C22×C4H(5,𝔽2)11yescharacteristic
1181Q16—41no—
1182Q16—42no—
1183Q16—82no—
1184Q16—81no—
1185SD16—22no—
1186SD16—41no—
1187SD16—41no—
1188SD16—41no—
1189SD16—42no—
1190SD16—81no—
1191SD16—81no—
1192SD16—81no—
1193SD16—81no—
1194SD16—81no—
1195SD16—81no—
1196SD16—81no—
1197SD16—81no—
1198SD16—81no—
1199SD16—81no—
1200SD16—81no—
1201SD16—81no—
1202SD16—81no—
1203SD16—81no—
1204SD16—81no—
1205D8—22no—
1206D8—41no—
1207D8—41no—
1208D8—42no—
1209D8—42no—
1210D8—82no—
1211D8—82no—
1212D8—81no—
1213D8—81no—
1214D8—81no—
1215D8—81no—
1216D8—81no—
1217D8—81no—
1218D8—81no—
1219D8—81no—
1220D8—82no—
1221D8—82no—
1222M16—41no—
1223M16—41no—
1224M16—81no—
1225M16—81no—
1226M16—81no—
1227M16—81no—
1228M16—81no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—42no—
1240C2×C8—81no—
1241C2×C8—81no—
1242C2×C8—81no—
1243C2×C8—81no—
1244C2×C8—81no—
1245C2×C8—81no—
1246C2×C8C22×D411yescharacteristic
1247C2×C8C22×D411yescharacteristic
1248C2×C8C22×D411yescharacteristic
1249C2×C8C22×D411yescharacteristic
1250C2×C8C22×D411yescharacteristic
1251C2×C8C22×D411yescharacteristic
1252C2×C8C22×D411yescharacteristic
1253C2×C8C22×D411yescharacteristic
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4C22×D411yescharacteristic
1290C4⋊C4C22×D411yescharacteristic
1291C4⋊C4C22×D411yescharacteristic
1292C4⋊C4C22×D411yescharacteristic
1293C4⋊C4C22×D411yescharacteristic
1294C4⋊C4C22×D411yescharacteristic
1295C4⋊C4C22×D411yescharacteristic
1296C4⋊C4C22×D411yescharacteristic
1297C22⋊C4—21no—
1298C22⋊C4—21no—
1299C22⋊C4—21no—
1300C22⋊C4—21no—
1301C22⋊C4—21no—
1302C22⋊C4—21no—
1303C22⋊C4—21no—
1304C22⋊C4—21no—
1305C22⋊C4—21no—
1306C22⋊C4—21no—
1307C22⋊C4—21no—
1308C22⋊C4—21no—
1309C22⋊C4—21no—
1310C22⋊C4—21no—
1311C22⋊C4—21no—
1312C22⋊C4—21no—
1313C22⋊C4—21no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C42—21no—
1335C42—21no—
1336C42—21no—
1337C42—21no—
1338C42—21no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C42C22×D411yescharacteristic
1344C42C22×D411yescharacteristic
1345C42H(5,𝔽2)11yescharacteristic
1346C42C2511yescharacteristic
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—82no—
1357C23—82no—
1358C23—82no—
1359C23—82no—
1360C23—161no—
1361C23—161no—
1362C23—161no—
1363C23—161no—
1364C23—161no—
1365C23—161no—
1366C23—161no—
1367C23—161no—
1368C23—161no—
1369C23—161no—
1370C23—161no—
1371C23D4211yescharacteristic
1372Q8—21no—
1373Q8—21no—
1374Q8—21no—
1375Q8—21no—
1376Q8—21no—
1377Q8—21no—
1378Q8—41no—
1379Q8—41no—
1380Q8—41no—
1381Q8—41no—
1382Q8—81no—
1383Q8—81no—
1384Q8—81no—
1385Q8—161no—
1386D4—21no—
1387D4—21no—
1388D4—21no—
1389D4—21no—
1390D4—21no—
1391D4—21no—
1392D4—21no—
1393D4—21no—
1394D4—21no—
1395D4—42no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—81no—
1413D4—81no—
1414D4—81no—
1415D4—81no—
1416D4—81no—
1417D4—81no—
1418D4—82no—
1419D4—82no—
1420D4—81no—
1421D4—81no—
1422D4—81no—
1423D4—81no—
1424D4—82no—
1425D4—82no—
1426D4—82no—
1427D4—82no—
1428D4—82no—
1429D4—161no—
1430D4—161no—
1431D4—161no—
1432D4—161no—
1433D4—161no—
1434D4—161no—
1435D4—161no—
1436D4—161no—
1437D4—161no—
1438D4—161no—
1439D4—161no—
1440D4—161no—
1441D4—161no—
1442D4—161no—
1443D4—161no—
1444D4—161no—
1445D4#57612yes—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—41no—
1462C2×C4—42no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—81no—
1478C2×C4—82no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4—161no—
1482C2×C4—161no—
1483C2×C4—161no—
1484C2×C4—161no—
1485C2×C4—161no—
1486C2×C4—161no—
1487C2×C4—161no—
1488C2×C4—161no—
1489C2×C4D4211yescharacteristic
1490C2×C4D4211yescharacteristic
1491C2×C4D4211yescharacteristic
1492C2×C4C23×D411yescharacteristic
1493C2×C4C23×D411yescharacteristic
1494C2×C4C2×H(5,𝔽2)11yescharacteristic
1495C8—22no—
1496C8—21no—
1497C8—21no—
1498C8—21no—
1499C8—21no—
1500C8—21no—
1501C8—21no—
1502C8—21no—
1503C8—21no—
1504C8—41no—
1505C8—41no—
1506C8—41no—
1507C8—41no—
1508C8—41no—
1509C8—41no—
1510C8—41no—
1511C8—41no—
1512C8—41no—
1513C22—21no—
1514C22—22no—
1515C22—21no—
1516C22—21no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—81no—
1542C22—81no—
1543C22—322no—
1544C22—322no—
1545C22—322no—
1546C22—322no—
1547C22—322no—
1548C22C2×D4211yescharacteristic
1549C4—21no—
1550C4—21no—
1551C4—21no—
1552C4—21no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—81no—
1565C4—81no—
1566C4—81no—
1567C4—81no—
1568C4C2×#57611yescharacteristic
1569C4#358411yescharacteristic
1570C4#358411yescharacteristic
1571C4#358511yescharacteristic
1572C2—41no—
1573C2—42no—
1574C2—81no—
1575C2—81no—
1576C2—81no—
1577C2—81no—
1578C2—161no—
1579C2—161no—
1580C2—161no—
1581C2—161no—
1582C2#6107211yescharacteristic
1583C2#6108811yescharacteristic
1584C2#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. #62610C2semidirect
2. #62576C2semidirect
3. #62033C2semidirect
4. #61689C2semidirect
5. #20312C2semidirect
6. #20308C2semidirect
7. #20264C2semidirect
8. #20191C2semidirect
9. #20173C2semidirect
10. #20159C2semidirect
11. #19996C2semidirect
12. #19970C2semidirect
13. #19922C2semidirect
14. #19911C2semidirect
15. #19911C2semidirect
16. #19884C2semidirect
17. #19799C2semidirect
18. #19789C2semidirect
19. #19788C2semidirect
20. #19788C2semidirect
21. #19635C2semidirect
22. #19537C2semidirect
23. #19504C2semidirect
24. #19380C2semidirect
25. #19316C2semidirect
26. #18707C2semidirect
27. #18682C2semidirect
28. #18661C2semidirect
29. #18620C2semidirect
30. #17996C2semidirect
31. #17968C2semidirect
33. #3543C22semidirect
35. #3498C22semidirect
36. #3400C22semidirect
37. #3392C22semidirect
38. #3373C22semidirect
39. #3368C22semidirect
40. #3368C22semidirect
41. #3366C22semidirect
42. #3366C22semidirect
43. #3366C22semidirect
44. #3366C22semidirect
45. #3361C22semidirect
46. #3361C22semidirect
47. #3358C22semidirect
48. #3333C22semidirect
49. #3333C22semidirect
50. #3332C22semidirect
52. #3325C22semidirect
53. #3325C22semidirect
65. #3305C22semidirect
66. #3305C22semidirect
67. #3295C22semidirect
68. #3295C22semidirect
69. #3295C22semidirect
70. #3295C22semidirect
71. #3294C22semidirect
72. #3294C22semidirect
73. #3294C22semidirect
74. #3284C22semidirect
75. #3284C22semidirect
76. D4×SD16C22semidirect
77. #3278C22semidirect
79. #3272C22semidirect
80. #3272C22semidirect
85. #3252C22semidirect
87. #3235C22semidirect
89. #3233C22semidirect
95. #3208C22semidirect
96. #3208C22semidirect
103. #3170C22semidirect
105. #3138C22semidirect
106. #3138C22semidirect
110. #3116C22semidirect
116. #2993C22semidirect
117. #2981C22semidirect
118. #2970C22semidirect
119. #2969C22semidirect
120. #1717C22semidirect
121. #1717C22semidirect
122. #1717C22semidirect
123. #1717C22semidirect
124. #1709C22semidirect
125. #1709C22semidirect
126. #1706C22semidirect
127. #1706C22semidirect
128. #1702C22semidirect
129. #1702C22semidirect
130. #1702C22semidirect
131. #1701C22semidirect
132. #1698C22semidirect
133. #1698C22semidirect
134. #1698C22semidirect
135. #1698C22semidirect
136. #1697C22semidirect
137. #1697C22semidirect
138. #1697C22semidirect
139. #1697C22semidirect
140. #1686C22semidirect
141. #1685C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1682C22semidirect
145. #1681C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1678C22semidirect
149. #1678C22semidirect
150. #1677C22semidirect
151. #1677C22semidirect
152. #1677C22semidirect
153. #1677C22semidirect
154. #1677C22semidirect
155. #1677C22semidirect
156. #1666C22semidirect
157. #1665C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1649C22semidirect
161. #1648C22semidirect
162. #1647C22semidirect
163. #1647C22semidirect
164. #1646C22semidirect
165. #1644C22semidirect
166. #1644C22semidirect
167. #1643C22semidirect
168. #1637C22semidirect
169. #1636C22semidirect
170. #1635C22semidirect
171. #1635C22semidirect
172. #1634C22semidirect
173. #1632C22semidirect
174. #1632C22semidirect
175. #1632C22semidirect
178. #1621C22semidirect
179. #1621C22semidirect
180. #1621C22semidirect
181. #1621C22semidirect
182. #1621C22semidirect
183. #1621C22semidirect
184. #1620C22semidirect
185. #1620C22semidirect
188. #1619C22semidirect
189. #1619C22semidirect
190. #1619C22semidirect
191. #1619C22semidirect
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. #1554C22semidirect
213. #1545C22semidirect
214. #1494C22semidirect
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
#625762
#620332
#616892
#203122
#203082
#202642
#201912
#201732
#201592
#199962
#199702
#199222
#199112
#198842
#197992
#197892
#197882
#196352
#195372
#195042
#193802
#193162
#187072
#186822
#186612
#186202
#179962
#179682