Finite Group Databasebeta

← #6367344

Subgroups — #6367344

Order 512.

1562 conjugacy classes of subgroups.

The subgroup lattice has 1540 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62074C211yesmaximal, characteristic, complemented
2#61993C211yesmaximal, characteristic, complemented
3#61784C211yesmaximal, characteristic, complemented
4#61734C211yesmaximal, characteristic, complemented
5#20292C211yesmaximal, characteristic, complemented
6#20286C211yesmaximal, characteristic, complemented
7#20137C211yesmaximal, characteristic, complemented
8#20130C211yesmaximal, characteristic, complemented
9#20127C211yesmaximal, characteristic, complemented
10#20124C211yesmaximal, characteristic, complemented
11#20063C211yesmaximal, characteristic, complemented
12#20058C211yesmaximal, characteristic, complemented
13#20055C211yesmaximal, characteristic, complemented
14#20028C211yesmaximal, characteristic, complemented
15#19994C211yesmaximal, characteristic, complemented
16#19987C211yesmaximal, characteristic, complemented
17#19948C211yesmaximal, characteristic, complemented
18#19945C211yesmaximal, characteristic, complemented
19#19945C211yesmaximal, characteristic, complemented
20#19902C211yesmaximal, characteristic, complemented
21#19665C211yesmaximal, characteristic, complemented
22#19585C211yesmaximal, characteristic, complemented
23#19556C211yesmaximal, characteristic, complemented
24#19486C211yesmaximal, characteristic, complemented
25#19461C211yesmaximal, characteristic, complemented
26#18705C211yesmaximal, characteristic, complemented
27#18680C211yesmaximal, characteristic, complemented
28#18671C211yesmaximal, characteristic, complemented
29#18522C211yesmaximal, characteristic, complemented
30#18015C211yesmaximal, characteristic, complemented
31#18014C211yesmaximal, characteristic, complemented
32#3546C2211yescharacteristic
33#3517C2211yescharacteristic
34#3506C2211yescharacteristic
35#3475C2211yescharacteristic, complemented
36#3398C2211yescharacteristic, complemented
37#3397C2211yescharacteristic
38#3397C2211yescharacteristic, complemented
39#3391C2211yescharacteristic, complemented
40#3372C2211yescharacteristic, complemented
41#3368C2211yescharacteristic, complemented
42#3366C2211yescharacteristic
43#3364C2211yescharacteristic, complemented
44#3357C2211yescharacteristic
45#3355—21no—
46#3354C2211yescharacteristic
47#3354C2211yescharacteristic
48#3353C2211yescharacteristic
49#3350—21no—
50#3349—21no—
51#3341C2211yescharacteristic, complemented
52#3340C2211yescharacteristic
53#3340C2211yescharacteristic, complemented
54#3339—21no—
55#3334C2211yescharacteristic
56#3332C2211yescharacteristic
57#3331C2211yescharacteristic, complemented
58#3330C2211yescharacteristic, complemented
59#3330C2211yescharacteristic, complemented
60#3325C2211yescharacteristic
61#3322—21no—
62#3317—21no—
63#3317—21no—
64#3315—21no—
65#3309—21no—
66#3309—21no—
67#3305C2211yescharacteristic
68#3305C2211yescharacteristic, complemented
69#3303C2211yescharacteristic
70#3303C2211yescharacteristic
71#3302C2211yescharacteristic
72#3297—21no—
73#3297—21no—
74#3294C2211yescharacteristic
75#3294C2211yescharacteristic, complemented
76#3287—21no—
77#3284C2211yescharacteristic, complemented
78#3284C2211yescharacteristic, complemented
79#3283C2211yescharacteristic
80#3274C2211yescharacteristic, complemented
81#3268—21no—
82#3268—21no—
83#3267—21no—
84#3257—21no—
85#3252C2211yescharacteristic
86#3250—21no—
87#3245C2211yescharacteristic
88#3235C2211yescharacteristic
89#3233C2211yescharacteristic
90#3231C2211yescharacteristic, complemented
91#3228C2211yescharacteristic
92#3220—21no—
93#3219—21no—
94#3210C2211yescharacteristic, complemented
95#3207C2211yescharacteristic
96#3199—21no—
97#3198—21no—
98#3197—21no—
99#3191—21no—
100#3167C2211yescharacteristic
101#3167C2211yescharacteristic, complemented
102#3124—21no—
103#3116C2211yescharacteristic, complemented
104#3111—21no—
105#3106C2211yescharacteristic
106#3105C2211yescharacteristic
107#3100C2211yescharacteristic
108#3098—21no—
109#3096—21no—
110#3093—21no—
111#3091—21no—
112#3045—21no—
113#3036C2211yescharacteristic, complemented
114#3035—21no—
115#3035C2211yescharacteristic
116#2994C2211yescharacteristic
117#2990C2211yescharacteristic, complemented
118#2979C2211yescharacteristic
119#2974C2211yescharacteristic, complemented
120#1720C2211yescharacteristic, complemented
121#1719C2211yescharacteristic, complemented
122#1718C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1708C2211yescharacteristic, complemented
125#1707C2211yescharacteristic, complemented
126#1706C2211yescharacteristic, complemented
127#1705C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1701C2211yescharacteristic
132#1699C2211yescharacteristic, complemented
133#1699C2211yescharacteristic, complemented
134#1698C2211yescharacteristic, complemented
135#1697C2211yescharacteristic, complemented
136#1695C2211yescharacteristic, complemented
137#1694C2211yescharacteristic, complemented
138#1692C2211yescharacteristic, complemented
139#1692C2211yescharacteristic, complemented
140#1689C2211yescharacteristic, complemented
141#1687C2211yescharacteristic
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1681C2211yescharacteristic
147#1681C2211yescharacteristic, complemented
148#1680C2211yescharacteristic, complemented
149#1679C2211yescharacteristic, complemented
150#1677C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1676C2211yescharacteristic, complemented
153#1673C2211yescharacteristic, complemented
154#1671C2211yescharacteristic, complemented
155#1671C2211yescharacteristic, complemented
156#1669C2211yescharacteristic, complemented
157#1667C2211yescharacteristic
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic, complemented
162#1654C2211yescharacteristic, complemented
163#1654C2211yescharacteristic, complemented
164#1654C2211yescharacteristic, complemented
165#1653C2211yescharacteristic, complemented
166#1652C2211yescharacteristic, complemented
167#1652C2211yescharacteristic, complemented
168#1646C2211yescharacteristic
169#1646C2211yescharacteristic, complemented
170#1646C2211yescharacteristic, complemented
171#1644C2211yescharacteristic, complemented
172#1642C2211yescharacteristic, complemented
173#1641C2211yescharacteristic, complemented
174#1641C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1638C2211yescharacteristic, complemented
177#1636C2211yescharacteristic, complemented
178#1635C2211yescharacteristic, complemented
179#1635C2211yescharacteristic, complemented
180#1631C2211yescharacteristic, complemented
181#1631C2211yescharacteristic, complemented
182#1631C2211yescharacteristic, complemented
183#1629C2211yescharacteristic, complemented
184#1628C2211yescharacteristic
185#1625C2211yescharacteristic
186#1625C2211yescharacteristic
187#1625C2211yescharacteristic, complemented
188#1624C2211yescharacteristic
189#1624C2211yescharacteristic
190#1624C2211yescharacteristic, complemented
191#1622C2211yescharacteristic
192#1590C2211yescharacteristic, complemented
193#1590C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1589C2211yescharacteristic
196#1588C2211yescharacteristic, complemented
197#1586C2211yescharacteristic
198#1586C2211yescharacteristic
199#1586C2211yescharacteristic, complemented
200#1586C2211yescharacteristic, complemented
201#1585C2211yescharacteristic, complemented
202#1585C2211yescharacteristic, complemented
203#1585C2211yescharacteristic, complemented
204C8×SD16C2211yescharacteristic, complemented
205C8×D8C2211yescharacteristic
206C8×D8C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1573C2211yescharacteristic, complemented
210#1557C2211yescharacteristic
211#1553C2211yescharacteristic, complemented
212#1550C2211yescharacteristic, complemented
213#1542C2211yescharacteristic, complemented
214#1494C2211yescharacteristic
215#1492C2211yescharacteristic
216#1476C2211yescharacteristic, complemented
217C2×D4⋊C8C2211yescharacteristic, complemented
218#1450C2211yescharacteristic, complemented
219C2×AGL(1,ℤ/8)—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×#135—21no—
222C2×#135—21no—
223C2×#135—21no—
224C2×#135—21no—
225#560—41no—
226#559—41no—
227#557C2311yescharacteristic
228#556—21no—
229#556C2311yescharacteristic
230#556C2311yescharacteristic
231#555C2311yescharacteristic
232#555C2311yescharacteristic
233#555C2311yescharacteristic
234#554C2311yescharacteristic
235#553—21no—
236#553—21no—
237#553—21no—
238#553—21no—
239#553—21no—
240#553—41no—
241#552—21no—
242#552—21no—
243#551—41no—
244#550—21no—
245#550—21no—
246#550—21no—
247#550—21no—
248#550C2311yescharacteristic
249#550C2311yescharacteristic
250#550C2311yescharacteristic
251#547—21no—
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#546—21no—
258#546—21no—
259#546—21no—
260D42C2311yescharacteristic
261#542—21no—
262#540—21no—
263#540—41no—
264#538—41no—
265#538—41no—
266#537—21no—
267#535—21no—
268#535—21no—
269#535—21no—
270#533C2311yescharacteristic
271#533C2311yescharacteristic
272#532—21no—
273#532C2311yescharacteristic
274#532C2311yescharacteristic
275#532C2311yescharacteristic
276#529—21no—
277#529—21no—
278#529—41no—
279#529C2311yescharacteristic
280#525—21no—
281#525—21no—
282#525—21no—
283#520—21no—
284#520—21no—
285C4×#41—21no—
286C4×#41C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×#117—21no—
289#501—21no—
290#500C2311yescharacteristic
291#500C2311yescharacteristic
292#499—21no—
293#498C2311yescharacteristic
294#498C2311yescharacteristic
295#498C2311yescharacteristic
296#498C2311yescharacteristic
297#497—21no—
298#496—21no—
299#496—21no—
300#494C2311yescharacteristic
301#493—21no—
302#493C2311yescharacteristic
303#492C2311yescharacteristic
304#492C2311yescharacteristic
305#492C2311yescharacteristic
306#492C2311yescharacteristic
307#491—21no—
308#490—21no—
309#490—21no—
310#490—21no—
311#488—21no—
312#488—21no—
313#487C2311yescharacteristic
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#486C2311yescharacteristic
320#486C2311yescharacteristic
321#486C2311yescharacteristic
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#485—21no—
326#485—21no—
327#485—21no—
328#485—21no—
329#485—21no—
330#485—21no—
331#485—21no—
332#485—21no—
333#485—21no—
334#485—21no—
335#484—21no—
336#484—21no—
337#484—21no—
338#484D411yescharacteristic
339#483—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#482—21no—
350#482—21no—
351#482—21no—
352#482—21no—
353#482—21no—
354#482—21no—
355#482D411yescharacteristic
356#482D411yescharacteristic
357#481—21no—
358#481—21no—
359#481—21no—
360#481D411yescharacteristic
361#480—21no—
362#480—21no—
363#480—21no—
364#480—21no—
365#480—21no—
366#480—21no—
367#479—21no—
368#479—21no—
369#479—21no—
370#479—21no—
371#479—21no—
372#478—21no—
373#478—21no—
374#478—21no—
375#478—21no—
376#478D411yescharacteristic
377#478D411yescharacteristic
378#477D411yescharacteristic
379#477C2311yescharacteristic
380#477C2311yescharacteristic
381#477C2311yescharacteristic
382#476D411yescharacteristic
383#476C2311yescharacteristic
384#476C2311yescharacteristic
385#476C2311yescharacteristic
386#476C2311yescharacteristic
387#476C2311yescharacteristic
388#475C2311yescharacteristic
389#474—21no—
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#474C2311yescharacteristic
393#474C2311yescharacteristic
394#474C2311yescharacteristic
395#474C2311yescharacteristic
396#474C2311yescharacteristic
397#470—21no—
398#470—21no—
399#469—21no—
400#469—21no—
401#469—21no—
402#469—21no—
403#469—21no—
404#468—21no—
405#468—21no—
406#468—21no—
407#468—21no—
408#468—21no—
409#467—21no—
410#467—21no—
411#466—21no—
412#466—21no—
413#466—21no—
414#466—21no—
415#466—21no—
416#466—21no—
417#466—21no—
418#466—21no—
419#465—21no—
420#465—21no—
421#465—21no—
422#465—21no—
423#465—21no—
424#465—21no—
425#465—41no—
426#465—41no—
427#464—21no—
428#464—21no—
429#464—21no—
430#464—21no—
431#464—21no—
432#464—21no—
433#463—21no—
434#463—21no—
435#463—21no—
436#463—21no—
437#463—21no—
438#463—21no—
439#463—21no—
440#463D411yescharacteristic
441#463D411yescharacteristic
442#462—21no—
443#462C2311yescharacteristic
444#462C2311yescharacteristic
445#462C2311yescharacteristic
446#461—21no—
447#461C2311yescharacteristic
448#461C2311yescharacteristic
449#461C2311yescharacteristic
450#461C2311yescharacteristic
451#461C2311yescharacteristic
452#460—21no—
453#460—21no—
454#460—21no—
455#460D411yescharacteristic
456#460C2311yescharacteristic
457#459—21no—
458#459—21no—
459#459—21no—
460#459—21no—
461#459D411yescharacteristic
462#459C2311yescharacteristic
463#459C2311yescharacteristic
464#459C2311yescharacteristic
465#459C2311yescharacteristic
466#459C2311yescharacteristic
467#459C2311yescharacteristic
468#459C2311yescharacteristic
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#450D411yescharacteristic
479#449—21no—
480#449—21no—
481#449—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449D411yescharacteristic
492#449D411yescharacteristic
493#447—21no—
494#447—21no—
495#447—21no—
496#447—21no—
497#447—21no—
498#447D411yescharacteristic
499#446C2311yescharacteristic
500#446C2311yescharacteristic
501#446C2311yescharacteristic
502C8×Q8C2311yescharacteristic
503#442—21no—
504#441—21no—
505#441—21no—
506#440—21no—
507#440—21no—
508#440—21no—
509#440—21no—
510#440—21no—
511C4×Q16—21no—
512C4×SD16—41no—
513C4×SD16—41no—
514C4×SD16C2311yescharacteristic
515C4×SD16C2311yescharacteristic
516C4×SD16C2311yescharacteristic
517C4×SD16C2311yescharacteristic
518C4×D8—21no—
519C4×D8—21no—
520C4×D8—21no—
521C4×D8C2311yescharacteristic
522C4×D8C2311yescharacteristic
523C4×D8C2311yescharacteristic
524C4×D8C2311yescharacteristic
525#436—21no—
526#436C2311yescharacteristic
527#436C2311yescharacteristic
528#436C2311yescharacteristic
529#436C2311yescharacteristic
530#436C2311yescharacteristic
531#435—21no—
532#435—21no—
533#435—21no—
534#435—21no—
535#435—21no—
536C8×D4—21no—
537C8×D4—21no—
538C8×D4C2311yescharacteristic
539C8×D4C2311yescharacteristic
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic
542C8×D4C2311yescharacteristic
543C8×D4C2311yescharacteristic
544C8×D4C2311yescharacteristic
545#433—21no—
546#432—21no—
547#432C2311yescharacteristic
548#431C2311yescharacteristic
549#431C2311yescharacteristic
550#431C2311yescharacteristic
551#428—21no—
552#428—21no—
553#428—21no—
554#428—21no—
555#427—21no—
556#427—21no—
557#427—21no—
558C2×#107—21no—
559#424—21no—
560#423C2311yescharacteristic
561C2×C4⋊C8—21no—
562C2×C4⋊C8C2311yescharacteristic
563#418—21no—
564#417—21no—
565#417—21no—
566#417—21no—
567#417—21no—
568#417—21no—
569#416—21no—
570#416—21no—
571#416—21no—
572#416—21no—
573#416—21no—
574#416—21no—
575C2×#102—21no—
576C2×#102—21no—
577#408—21no—
578#408—21no—
579#407—21no—
580C2×C22⋊C8—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#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610D4⋊C8C2311yescharacteristic
611D4⋊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
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—21no—
636C2×#41—21no—
637C2×#41C2×D411yescharacteristic
638C22×D4—21no—
639C22×D4—21no—
640C22×D4C2×D411yescharacteristic
641C23×C4—21no—
642AGL(1,ℤ/8)—82no—
643AGL(1,ℤ/8)—82no—
644#135—82no—
645#135—82no—
646#135—82no—
647#135—82no—
648C2×Q16—21no—
649C2×Q16—21no—
650C2×Q16—21no—
651C2×Q16—21no—
652C2×Q16—21no—
653C2×SD16—21no—
654C2×SD16—21no—
655C2×SD16—21no—
656C2×SD16—21no—
657C2×SD16—21no—
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16C2×D411yescharacteristic
666C2×SD16C2×D411yescharacteristic
667C2×SD16C2×D411yescharacteristic
668C2×SD16C2×D411yescharacteristic
669C2×D8—21no—
670C2×D8—21no—
671C2×D8—21no—
672C2×D8—21no—
673C2×D8—21no—
674C2×D8—21no—
675C2×D8—21no—
676C2×D8—21no—
677C2×D8—21no—
678C2×D8C2×D411yescharacteristic
679C2×D8C2×D411yescharacteristic
680C2×D8C2×D411yescharacteristic
681C2×D8C2×D411yescharacteristic
682C2×M16—21no—
683C2×M16—21no—
684C2×M16—21no—
685C2×M16—21no—
686C2×M16—21no—
687C2×M16—21no—
688C22×C8—21no—
689C22×C8—21no—
690C22×C8—21no—
691C22×C8—21no—
692C22×C8—21no—
693C22×C8—21no—
694C22×C8—21no—
695C22×C8—21no—
696C22×C8—21no—
697C4⋊Q8—21no—
698C4⋊Q8C2×D411yescharacteristic
699C4⋊Q8C2411yescharacteristic
700C4⋊Q8C2411yescharacteristic
701C4⋊Q8C2411yescharacteristic
702C4⋊Q8C2411yescharacteristic
703C4⋊Q8C2411yescharacteristic
704C4⋊Q8C2411yescharacteristic
705#127—21no—
706#127—21no—
707#127—21no—
708#127—41no—
709#127—41no—
710#127—41no—
711#127C2×D411yescharacteristic
712#127C2411yescharacteristic
713#127C2411yescharacteristic
714#126—21no—
715#126—41no—
716#126—41no—
717#126—41no—
718#126—41no—
719#126—41no—
720#126—41no—
721#126—41no—
722#126—41no—
723#125—21no—
724#125—21no—
725#125—21no—
726#125—21no—
727#125—41no—
728#125—41no—
729#125C2×D411yescharacteristic
730#124—21no—
731#124—21no—
732#124—21no—
733#124—21no—
734#124—21no—
735#124—41no—
736#124—41no—
737#124—41no—
738#124—41no—
739#124—41no—
740#124C2×D411yescharacteristic
741#123—21no—
742#123—41no—
743#123—41no—
744#123—41no—
745#123—41no—
746#123—41no—
747#123—41no—
748#123—41no—
749#123—41no—
750#123—41no—
751#123—41no—
752#123—41no—
753#123—41no—
754#123—41no—
755#123—41no—
756#123—41no—
757C22⋊Q8—21no—
758C22⋊Q8—21no—
759C22⋊Q8—21no—
760C22⋊Q8—21no—
761C22⋊Q8—21no—
762C22⋊Q8—21no—
763C22⋊Q8—21no—
764C22⋊Q8—21no—
765C22⋊Q8—21no—
766C22⋊Q8—21no—
767C22⋊Q8—21no—
768C22⋊Q8—21no—
769C22⋊Q8—41no—
770C22⋊Q8—41no—
771C22⋊Q8C2×D411yescharacteristic
772#121—21no—
773#121—21no—
774#121—21no—
775#121—21no—
776#121—21no—
777#121—21no—
778#121—21no—
779#121—21no—
780#121—21no—
781#121—21no—
782#121—21no—
783#121—21no—
784#121—21no—
785#121—21no—
786#121—21no—
787#121—21no—
788#121—21no—
789#121—21no—
790#121—21no—
791#121—21no—
792#121—21no—
793#121—41no—
794#121—41no—
795#121—41no—
796#121—41no—
797#121—41no—
798#121—41no—
799#121—41no—
800#121—41no—
801#121—41no—
802#121—41no—
803#121—41no—
804#121—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#121—41no—
809#121C2×D411yescharacteristic
810#121C2×D411yescharacteristic
811#121C2×D411yescharacteristic
812#120—41no—
813#120—41no—
814#120—41no—
815#120—41no—
816#120—41no—
817#120—41no—
818#120—41no—
819C4×Q8—21no—
820C4×Q8—21no—
821C4×Q8—21no—
822C4×Q8—21no—
823C4×Q8—21no—
824C4×Q8—21no—
825C4×Q8—21no—
826C4×Q8—21no—
827C4×Q8—41no—
828C4×Q8C2×D411yescharacteristic
829C4×Q8C2411yescharacteristic
830C4×Q8C2411yescharacteristic
831C4×D4—21no—
832C4×D4—21no—
833C4×D4—21no—
834C4×D4—21no—
835C4×D4—21no—
836C4×D4—21no—
837C4×D4—21no—
838C4×D4—21no—
839C4×D4—21no—
840C4×D4—21no—
841C4×D4—21no—
842C4×D4—21no—
843C4×D4—21no—
844C4×D4—21no—
845C4×D4—41no—
846C4×D4—41no—
847C4×D4—41no—
848C4×D4—41no—
849C4×D4—41no—
850C4×D4—41no—
851C4×D4—41no—
852C4×D4—41no—
853C4×D4—41no—
854C4×D4—41no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4C2×D411yescharacteristic
859C4×D4C2×D411yescharacteristic
860C4×D4C2×D411yescharacteristic
861C4×D4C2411yescharacteristic
862C4×D4C2411yescharacteristic
863C4×D4C2411yescharacteristic
864C4×D4C2411yescharacteristic
865C4×D4C2411yescharacteristic
866C4×D4C2411yescharacteristic
867#117—21no—
868#117—21no—
869#117—21no—
870#117—21no—
871#117—21no—
872#117—21no—
873#117—21no—
874#117—21no—
875#117—21no—
876#117—21no—
877#117—21no—
878#117—21no—
879#117—41no—
880#117—41no—
881#117—41no—
882#117—41no—
883#117C2×D411yescharacteristic
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—41no—
891C2×C4⋊C4C2×D411yescharacteristic
892C2×C22⋊C4—21no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C42—21no—
896C2×C42—41no—
897C2×C42C2411yescharacteristic
898#107—21no—
899#107—21no—
900#107—21no—
901#107—21no—
902#107—21no—
903#107—21no—
904#107—21no—
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107C2×D411yescharacteristic
913#107C2×D411yescharacteristic
914#107C2×D411yescharacteristic
915#107C2×D411yescharacteristic
916#106—21no—
917#106—21no—
918#106—21no—
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—21no—
924#106—21no—
925#106—21no—
926#106—41no—
927#106—41no—
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930#106C2×D411yescharacteristic
931#106C2×D411yescharacteristic
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8C2×D411yescharacteristic
939C4⋊C8C2×D411yescharacteristic
940C4⋊C8C2×D411yescharacteristic
941C4⋊C8C2×D411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950#103—21no—
951#103—21no—
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—41no—
971#103—41no—
972#103C2×D411yescharacteristic
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
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#102C2×D411yescharacteristic
1007#102C2×D411yescharacteristic
1008#102C2×D411yescharacteristic
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
1018C22⋊C8—21no—
1019C22⋊C8—21no—
1020C22⋊C8—21no—
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8C2×D411yescharacteristic
1033C22⋊C8C2×D411yescharacteristic
1034C22⋊C8C2×D411yescharacteristic
1035C22⋊C8C2×D411yescharacteristic
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040C4×C8—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8C2411yescharacteristic
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C24—21no—
1050C24—41no—
1051#41—41no—
1052#41—41no—
1053#41—42no—
1054#41—42no—
1055#41—81no—
1056#41—81no—
1057#41—81no—
1058#41—81no—
1059#41—81no—
1060#41—81no—
1061#41—81no—
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—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—21no—
1081C2×Q8—21no—
1082C2×Q8C22×D411yescharacteristic
1083C2×Q8C22×D411yescharacteristic
1084C2×D4—21no—
1085C2×D4—21no—
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—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4C22×D411yescharacteristic
1122C2×D4C22×D411yescharacteristic
1123C2×D4C22×D411yescharacteristic
1124C2×D4C22×D411yescharacteristic
1125C2×D4C22×D411yescharacteristic
1126C2×D4C22×D411yescharacteristic
1127C22×C4—21no—
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—21no—
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—81no—
1150C22×C4—81no—
1151C22×C4C22×D411yescharacteristic
1152C22×C4C22×D411yescharacteristic
1153C22×C4H(5,𝔽2)11yescharacteristic
1154Q16—42no—
1155Q16—81no—
1156Q16—81no—
1157Q16—81no—
1158Q16—81no—
1159SD16—41no—
1160SD16—41no—
1161SD16—41no—
1162SD16—41no—
1163SD16—42no—
1164SD16—42no—
1165SD16—81no—
1166SD16—81no—
1167SD16—81no—
1168SD16—81no—
1169SD16—82no—
1170SD16—82no—
1171SD16—81no—
1172SD16—81no—
1173SD16—81no—
1174SD16—81no—
1175D8—41no—
1176D8—41no—
1177D8—41no—
1178D8—41no—
1179D8—42no—
1180D8—81no—
1181D8—81no—
1182D8—81no—
1183D8—81no—
1184D8—81no—
1185D8—81no—
1186D8—81no—
1187D8—81no—
1188M16—81no—
1189M16—81no—
1190M16—81no—
1191M16—81no—
1192M16—81no—
1193M16—81no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—42no—
1205C2×C8—81no—
1206C2×C8—81no—
1207C2×C8—81no—
1208C2×C8—81no—
1209C2×C8—81no—
1210C2×C8—81no—
1211C2×C8—81no—
1212C2×C8—81no—
1213C2×C8C22×D411yescharacteristic
1214C2×C8C22×D411yescharacteristic
1215C2×C8C22×D411yescharacteristic
1216C2×C8C22×D411yescharacteristic
1217C2×C8C22×D411yescharacteristic
1218C2×C8C22×D411yescharacteristic
1219C2×C8C22×D411yescharacteristic
1220C2×C8C22×D411yescharacteristic
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—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
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⋊C4C22×D411yescharacteristic
1258C4⋊C4C22×D411yescharacteristic
1259C4⋊C4C22×D411yescharacteristic
1260C4⋊C4C22×D411yescharacteristic
1261C4⋊C4C22×D411yescharacteristic
1262C4⋊C4C22×D411yescharacteristic
1263C4⋊C4C22×D411yescharacteristic
1264C4⋊C4C22×D411yescharacteristic
1265C22⋊C4—21no—
1266C22⋊C4—21no—
1267C22⋊C4—21no—
1268C22⋊C4—21no—
1269C22⋊C4—21no—
1270C22⋊C4—21no—
1271C22⋊C4—21no—
1272C22⋊C4—21no—
1273C22⋊C4—21no—
1274C22⋊C4—21no—
1275C22⋊C4—21no—
1276C22⋊C4—21no—
1277C22⋊C4—21no—
1278C22⋊C4—21no—
1279C22⋊C4—21no—
1280C22⋊C4—21no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
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—
1307C42—21no—
1308C42—21no—
1309C42—21no—
1310C42—21no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C42C22×D411yescharacteristic
1320C42C22×D411yescharacteristic
1321C42H(5,𝔽2)11yescharacteristic
1322C42C2511yescharacteristic
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—41no—
1330C23—41no—
1331C23—81no—
1332C23—81no—
1333C23—81no—
1334C23—161no—
1335C23—161no—
1336C23—161no—
1337C23D4211yescharacteristic
1338Q8—21no—
1339Q8—21no—
1340Q8—21no—
1341Q8—21no—
1342Q8—41no—
1343Q8—41no—
1344Q8—41no—
1345Q8—41no—
1346Q8—41no—
1347Q8—41no—
1348Q8—41no—
1349Q8—41no—
1350Q8—81no—
1351Q8—81no—
1352Q8—81no—
1353D4—21no—
1354D4—21no—
1355D4—21no—
1356D4—21no—
1357D4—21no—
1358D4—21no—
1359D4—21no—
1360D4—21no—
1361D4—21no—
1362D4—21no—
1363D4—21no—
1364D4—21no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—41no—
1373D4—81no—
1374D4—81no—
1375D4—81no—
1376D4—81no—
1377D4—81no—
1378D4—81no—
1379D4—81no—
1380D4—81no—
1381D4—81no—
1382D4—82no—
1383D4—82no—
1384D4—161no—
1385D4—161no—
1386D4—161no—
1387D4—161no—
1388D4—161no—
1389D4—161no—
1390D4—161no—
1391D4—161no—
1392D4—161no—
1393D4—161no—
1394D4—161no—
1395D4—161no—
1396D4—161no—
1397D4—161no—
1398D4—161no—
1399D4—161no—
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—21no—
1413C2×C4—21no—
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—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—81no—
1434C2×C4—81no—
1435C2×C4—81no—
1436C2×C4—81no—
1437C2×C4—81no—
1438C2×C4—82no—
1439C2×C4—82no—
1440C2×C4—161no—
1441C2×C4—161no—
1442C2×C4—161no—
1443C2×C4—161no—
1444C2×C4—161no—
1445C2×C4—161no—
1446C2×C4—161no—
1447C2×C4—161no—
1448C2×C4—161no—
1449C2×C4D4211yescharacteristic
1450C2×C4D4211yescharacteristic
1451C2×C4D4211yescharacteristic
1452C2×C4C23×D411yescharacteristic
1453C2×C4C23×D411yescharacteristic
1454C2×C4C2×H(5,𝔽2)11yescharacteristic
1455C8—22no—
1456C8—21no—
1457C8—21no—
1458C8—21no—
1459C8—21no—
1460C8—21no—
1461C8—21no—
1462C8—21no—
1463C8—21no—
1464C8—41no—
1465C8—41no—
1466C8—41no—
1467C8—41no—
1468C8—41no—
1469C8—41no—
1470C8—41no—
1471C8—41no—
1472C8—41no—
1473C22—21no—
1474C22—21no—
1475C22—21no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—162no—
1501C22—322no—
1502C22C2×D4211yescharacteristic
1503C4—21no—
1504C4—21no—
1505C4—21no—
1506C4—21no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—81no—
1518C4—81no—
1519C4—81no—
1520C4—81no—
1521C4—81no—
1522C4—81no—
1523C4#358411yescharacteristic
1524C4#358411yescharacteristic
1525C4#358511yescharacteristic
1526C4#358511yescharacteristic
1527C2—41no—
1528C2—81no—
1529C2—81no—
1530C2—81no—
1531C2—81no—
1532C2—81no—
1533C2—81no—
1534C2—161no—
1535C2—161no—
1536C2#6107411yescharacteristic
1537C2#6107411yescharacteristic
1538C2#6110511yescharacteristic
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. #62074C2semidirect
2. #61993C2semidirect
3. #61784C2semidirect
4. #61734C2semidirect
5. #20292C2semidirect
6. #20286C2semidirect
7. #20137C2semidirect
8. #20130C2semidirect
9. #20127C2semidirect
10. #20124C2semidirect
11. #20063C2semidirect
12. #20058C2semidirect
13. #20055C2semidirect
14. #20028C2semidirect
15. #19994C2semidirect
16. #19987C2semidirect
17. #19948C2semidirect
18. #19945C2semidirect
19. #19945C2semidirect
20. #19902C2semidirect
21. #19665C2semidirect
22. #19585C2semidirect
23. #19556C2semidirect
24. #19486C2semidirect
25. #19461C2semidirect
26. #18705C2semidirect
27. #18680C2semidirect
28. #18671C2semidirect
29. #18522C2semidirect
30. #18015C2semidirect
31. #18014C2semidirect
35. #3475C22semidirect
36. #3398C22semidirect
38. #3397C22semidirect
39. #3391C22semidirect
40. #3372C22semidirect
41. #3368C22semidirect
43. #3364C22semidirect
51. #3341C22semidirect
53. #3340C22semidirect
57. #3331C22semidirect
58. #3330C22semidirect
59. #3330C22semidirect
68. #3305C22semidirect
75. #3294C22semidirect
77. #3284C22semidirect
78. #3284C22semidirect
80. #3274C22semidirect
90. #3231C22semidirect
94. #3210C22semidirect
101. #3167C22semidirect
103. #3116C22semidirect
113. #3036C22semidirect
117. #2990C22semidirect
119. #2974C22semidirect
120. #1720C22semidirect
121. #1719C22semidirect
122. #1718C22semidirect
123. #1717C22semidirect
124. #1708C22semidirect
125. #1707C22semidirect
126. #1706C22semidirect
127. #1705C22semidirect
128. #1704C22semidirect
129. #1703C22semidirect
130. #1702C22semidirect
132. #1699C22semidirect
133. #1699C22semidirect
134. #1698C22semidirect
135. #1697C22semidirect
136. #1695C22semidirect
137. #1694C22semidirect
138. #1692C22semidirect
139. #1692C22semidirect
140. #1689C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1683C22semidirect
145. #1683C22semidirect
147. #1681C22semidirect
148. #1680C22semidirect
149. #1679C22semidirect
150. #1677C22semidirect
151. #1677C22semidirect
152. #1676C22semidirect
153. #1673C22semidirect
154. #1671C22semidirect
155. #1671C22semidirect
156. #1669C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
161. #1654C22semidirect
162. #1654C22semidirect
163. #1654C22semidirect
164. #1654C22semidirect
165. #1653C22semidirect
166. #1652C22semidirect
167. #1652C22semidirect
169. #1646C22semidirect
170. #1646C22semidirect
171. #1644C22semidirect
172. #1642C22semidirect
173. #1641C22semidirect
174. #1641C22semidirect
175. #1639C22semidirect
176. #1638C22semidirect
177. #1636C22semidirect
178. #1635C22semidirect
179. #1635C22semidirect
180. #1631C22semidirect
181. #1631C22semidirect
182. #1631C22semidirect
183. #1629C22semidirect
187. #1625C22semidirect
190. #1624C22semidirect
192. #1590C22semidirect
193. #1590C22semidirect
194. #1590C22semidirect
196. #1588C22semidirect
199. #1586C22semidirect
200. #1586C22semidirect
201. #1585C22semidirect
202. #1585C22semidirect
203. #1585C22semidirect
204. C8×SD16C22semidirect
206. C8×D8C22semidirect
207. C8×D8C22semidirect
208. #1574C22semidirect
209. #1573C22semidirect
211. #1553C22semidirect
212. #1550C22semidirect
213. #1542C22semidirect
216. #1476C22semidirect
217. C2×D4⋊C8C22semidirect
218. #1450C22semidirect

Maximal subgroups

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

subgroupindex
#620742
#619932
#617842
#617342
#202922
#202862
#201372
#201302
#201272
#201242
#200632
#200582
#200552
#200282
#199942
#199872
#199482
#199452
#199022
#196652
#195852
#195562
#194862
#194612
#187052
#186802
#186712
#185222
#180152
#180142