Finite Group Databasebeta

← #6369291

Subgroups — #6369291

Order 512.

1619 conjugacy classes of subgroups.

The subgroup lattice has 1543 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61993C211yesmaximal, characteristic, complemented
2#61737C211yesmaximal, characteristic, complemented
3#61545C211yesmaximal, characteristic, complemented
4#61159C211yesmaximal, characteristic, complemented
5#20290C211yesmaximal, characteristic, complemented
6#20255C211yesmaximal, characteristic, complemented
7#20254C211yesmaximal, characteristic, complemented
8#20235C211yesmaximal, characteristic, complemented
9#20180C211yesmaximal, characteristic, complemented
10#20137C211yesmaximal, characteristic, complemented
11#20058C211yesmaximal, characteristic, complemented
12#20056C211yesmaximal, characteristic, complemented
13#20043C211yesmaximal, characteristic, complemented
14#19991C211yesmaximal, characteristic, complemented
15#19948C211yesmaximal, characteristic, complemented
16#19902C211yesmaximal, characteristic, complemented
17#19851C211yesmaximal, characteristic, complemented
18#19820C211yesmaximal, characteristic, complemented
19#19776C211yesmaximal, characteristic, complemented
20#19776C211yesmaximal, characteristic, complemented
21#19723C211yesmaximal, characteristic, complemented
22#19490C211yesmaximal, characteristic, complemented
23#19460C211yesmaximal, characteristic, complemented
24#19381C211yesmaximal, characteristic, complemented
25#19304C211yesmaximal, characteristic, complemented
26#18858C211yesmaximal, characteristic, complemented
27#18823C211yesmaximal, characteristic, complemented
28#18807C211yesmaximal, characteristic, complemented
29#18782C211yesmaximal, characteristic, complemented
30#18050C211yesmaximal, characteristic, complemented
31#18008C211yesmaximal, characteristic, complemented
32#3520C2211yescharacteristic
33#3517C2211yescharacteristic
34#3475C2211yescharacteristic
35C2×#547C2211yescharacteristic
36#3398C2211yescharacteristic, complemented
37#3397C2211yescharacteristic, complemented
38#3397C2211yescharacteristic, complemented
39#3386C2211yescharacteristic, complemented
40#3372C2211yescharacteristic, complemented
41#3366C2211yescharacteristic, complemented
42#3364C2211yescharacteristic, complemented
43#3358C2211yescharacteristic, complemented
44#3353C2211yescharacteristic
45#3353C2211yescharacteristic
46#3346—21no—
47#3343—21no—
48#3343—21no—
49#3334C2211yescharacteristic
50#3334C2211yescharacteristic
51#3334C2211yescharacteristic, complemented
52#3333—21no—
53#3332C2211yescharacteristic, complemented
54#3331C2211yescharacteristic
55#3331C2211yescharacteristic
56#3330C2211yescharacteristic
57#3330C2211yescharacteristic
58#3330C2211yescharacteristic
59#3330C2211yescharacteristic
60#3330C2211yescharacteristic, complemented
61#3322—21no—
62#3317—21no—
63#3315—21no—
64#3315—21no—
65#3315—21no—
66#3308—21no—
67#3308—21no—
68#3307—21no—
69#3307—21no—
70#3305C2211yescharacteristic, complemented
71#3303C2211yescharacteristic
72#3303C2211yescharacteristic
73#3303C2211yescharacteristic, complemented
74#3302C2211yescharacteristic
75#3302C2211yescharacteristic
76#3298C2211yescharacteristic
77#3298C2211yescharacteristic
78#3284C2211yescharacteristic, complemented
79#3284C2211yescharacteristic, complemented
80#3283C2211yescharacteristic, complemented
81#3268—21no—
82#3268—21no—
83#3267—21no—
84#3252C2211yescharacteristic
85#3250—21no—
86#3239C2211yescharacteristic
87#3231C2211yescharacteristic
88#3230C2211yescharacteristic
89#3227C2211yescharacteristic
90#3219—21no—
91#3210C2211yescharacteristic
92#3193—21no—
93#3188—21no—
94#3182C2211yescharacteristic
95#3179—21no—
96#3139C2211yescharacteristic
97#3124—21no—
98#3119—21no—
99#3111—21no—
100#3110C2211yescharacteristic
101#3107C2211yescharacteristic
102#3105C2211yescharacteristic
103#3100C2211yescharacteristic
104#3095—21no—
105#3092—21no—
106C2×#484—21no—
107#3077C2211yescharacteristic
108#3056—21no—
109#3039C2211yescharacteristic
110#3036C2211yescharacteristic
111#3035—21no—
112#3005—21no—
113#2990C2211yescharacteristic
114#2974C2211yescharacteristic
115#2969C2211yescharacteristic
116#2951—21no—
117C4×AGL(1,ℤ/8)C2211yescharacteristic
118D4×M16C2211yescharacteristic
119#2896—21no—
120#1723C2211yescharacteristic, complemented
121#1719C2211yescharacteristic, complemented
122#1719C2211yescharacteristic, complemented
123#1718C2211yescharacteristic, complemented
124#1718C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1711C2211yescharacteristic, complemented
127#1707C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1700C2211yescharacteristic, complemented
133#1700C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1694C2211yescharacteristic, complemented
139#1694C2211yescharacteristic, complemented
140#1693C2211yescharacteristic, complemented
141#1689C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1683C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1680C2211yescharacteristic, complemented
149#1679C2211yescharacteristic, complemented
150#1679C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1679C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1673C2211yescharacteristic, complemented
155#1673C2211yescharacteristic, complemented
156#1673C2211yescharacteristic, complemented
157#1669C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic
162#1654C2211yescharacteristic
163#1654C2211yescharacteristic
164#1654C2211yescharacteristic, complemented
165#1654C2211yescharacteristic, complemented
166#1654C2211yescharacteristic, complemented
167#1654C2211yescharacteristic, complemented
168#1653C2211yescharacteristic, complemented
169#1653C2211yescharacteristic, complemented
170#1652C2211yescharacteristic, complemented
171#1652C2211yescharacteristic, complemented
172#1650C2211yescharacteristic, complemented
173#1649C2211yescharacteristic, complemented
174#1647C2211yescharacteristic, complemented
175#1647C2211yescharacteristic, complemented
176#1646C2211yescharacteristic, complemented
177#1646C2211yescharacteristic, complemented
178#1644C2211yescharacteristic, complemented
179#1643C2211yescharacteristic, complemented
180#1642C2211yescharacteristic, complemented
181#1642C2211yescharacteristic, complemented
182#1641C2211yescharacteristic, complemented
183#1641C2211yescharacteristic, complemented
184#1638C2211yescharacteristic, complemented
185#1637C2211yescharacteristic, complemented
186#1635C2211yescharacteristic, complemented
187#1635C2211yescharacteristic, complemented
188#1625C2211yescharacteristic
189#1625C2211yescharacteristic
190#1625C2211yescharacteristic
191#1625C2211yescharacteristic
192#1592C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1586C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1585C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1580C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1574C2211yescharacteristic
209#1569C2211yescharacteristic
210#1561C2211yescharacteristic
211#1557C2211yescharacteristic
212#1554C2211yescharacteristic
213#1549C2211yescharacteristic
214#1495C2211yescharacteristic
215#1488C2211yescharacteristic
216#1486C2211yescharacteristic
217#1478C2211yescharacteristic
218#1453C2211yescharacteristic
219C22×#41—21no—
220C2×#137—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)D411yescharacteristic
223C2×#135—21no—
224C2×#135—21no—
225C2×#135—21no—
226C22×M16—21no—
227#557C2311yescharacteristic
228#556C2311yescharacteristic
229#556C2311yescharacteristic
230#555C2311yescharacteristic
231#554—21no—
232#554C2311yescharacteristic
233#553—21no—
234#553—21no—
235#553—41no—
236#552—21no—
237#552—21no—
238#552—21no—
239#551—41no—
240#551—41no—
241#550—21no—
242#550—21no—
243#550C2311yescharacteristic
244#550C2311yescharacteristic
245D4×Q8C2311yescharacteristic
246#548—21no—
247#547—21no—
248#547—21no—
249#547—21no—
250#547—21no—
251#547—21no—
252#547—41no—
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#547C2311yescharacteristic
259#547C2311yescharacteristic
260#547C2311yescharacteristic
261#546—21no—
262#546—21no—
263#542—21no—
264#540—21no—
265#540—41no—
266#539—41no—
267#533C2311yescharacteristic
268#533C2311yescharacteristic
269#532—21no—
270#532C2311yescharacteristic
271C2×C4⋊Q8C2311yescharacteristic
272#529—21no—
273#529—21no—
274#529—41no—
275#529C2311yescharacteristic
276#525—21no—
277#525—21no—
278C2×#123—41no—
279C2×C22⋊Q8—21no—
280C2×C22⋊Q8—21no—
281C2×#121—21no—
282#520—21no—
283#520—21no—
284C4×#41—21no—
285C4×#41C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×#117—21no—
289C22×C4⋊C4—21no—
290#501—21no—
291#501—21no—
292#500C2311yescharacteristic
293#500C2311yescharacteristic
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#498C2311yescharacteristic
297#498C2311yescharacteristic
298#498C2311yescharacteristic
299#497—21no—
300#496—21no—
301#496—21no—
302#494C2311yescharacteristic
303#492C2311yescharacteristic
304#492C2311yescharacteristic
305#491—21no—
306#491—21no—
307#491—21no—
308#490—21no—
309#489—21no—
310#488—21no—
311#487C2311yescharacteristic
312#487C2311yescharacteristic
313#487C2311yescharacteristic
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#486—21no—
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#485—21no—
327#485—21no—
328#485—21no—
329#485—21no—
330#485—21no—
331#485—21no—
332#485—41no—
333#484—21no—
334#484—21no—
335#484—21no—
336#484—21no—
337#484—21no—
338#484—21no—
339#484—21no—
340#484—21no—
341#484—21no—
342#484—21no—
343#484—21no—
344#484D411yescharacteristic
345#483—21no—
346#483—21no—
347#483—21no—
348#483—21no—
349#482—21no—
350#482—21no—
351#482—21no—
352#481—21no—
353#481—21no—
354#481—41no—
355#481D411yescharacteristic
356#480—21no—
357#480—21no—
358#480—21no—
359#480—21no—
360#480—21no—
361#480—21no—
362#480—21no—
363#479—21no—
364#479—21no—
365#479—21no—
366#479—41no—
367#478—21no—
368#478—21no—
369#478—21no—
370#478—21no—
371#478D411yescharacteristic
372#478D411yescharacteristic
373#477—21no—
374#477—21no—
375#477—21no—
376#477C2311yescharacteristic
377#476—41no—
378#476C2311yescharacteristic
379#476C2311yescharacteristic
380#476C2311yescharacteristic
381#475C2311yescharacteristic
382#475C2311yescharacteristic
383#475C2311yescharacteristic
384#474—21no—
385#474C2311yescharacteristic
386#474C2311yescharacteristic
387#474C2311yescharacteristic
388#474C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#474C2311yescharacteristic
393#474C2311yescharacteristic
394#470—21no—
395#470—21no—
396#470—21no—
397#469—21no—
398#468—21no—
399#468—21no—
400#468—21no—
401#468—21no—
402#468—21no—
403#468—21no—
404#468—21no—
405#468—21no—
406#468—21no—
407#468—21no—
408#467—21no—
409#467—21no—
410#467—21no—
411#466—21no—
412#466—21no—
413#466—21no—
414#466—21no—
415#465—21no—
416#465—21no—
417#465—21no—
418#465—21no—
419#465—21no—
420#465—21no—
421#465—21no—
422#464—21no—
423#464—21no—
424#464—21no—
425#464—21no—
426#464—21no—
427#463—21no—
428#463—21no—
429#463—21no—
430#463—21no—
431#463D411yescharacteristic
432#463D411yescharacteristic
433#462—21no—
434#462—21no—
435#462C2311yescharacteristic
436#462C2311yescharacteristic
437#462C2311yescharacteristic
438#462C2311yescharacteristic
439#461—21no—
440#461—21no—
441#461C2311yescharacteristic
442#461C2311yescharacteristic
443#461C2311yescharacteristic
444#461C2311yescharacteristic
445#461C2311yescharacteristic
446#461C2311yescharacteristic
447#461C2311yescharacteristic
448#461C2311yescharacteristic
449#460—21no—
450#460—21no—
451#459—21no—
452#459—21no—
453#459C2311yescharacteristic
454#459C2311yescharacteristic
455#459C2311yescharacteristic
456#459C2311yescharacteristic
457#452—21no—
458#452—21no—
459#452—21no—
460#452—21no—
461#452—21no—
462#452—21no—
463#452—21no—
464#452—21no—
465#452—21no—
466#452—21no—
467#452—21no—
468#450—21no—
469#450D411yescharacteristic
470#449—21no—
471#449—21no—
472#449—21no—
473#449—21no—
474#449—21no—
475#449—21no—
476#449—21no—
477#449—21no—
478#449—21no—
479#449—21no—
480#449—21no—
481#449—21no—
482#448—21no—
483#448—21no—
484#447—21no—
485#447D411yescharacteristic
486#446C2311yescharacteristic
487#446C2311yescharacteristic
488#446C2311yescharacteristic
489C8×Q8C2311yescharacteristic
490#442—21no—
491#442D411yescharacteristic
492#442D411yescharacteristic
493#441—21no—
494#440—21no—
495#440—21no—
496#440—21no—
497#440—21no—
498#440—21no—
499#440—21no—
500#440—21no—
501#440—21no—
502#440D411yescharacteristic
503#440D411yescharacteristic
504C4×Q16—21no—
505C4×Q16—21no—
506C4×SD16—21no—
507C4×SD16C2311yescharacteristic
508C4×SD16C2311yescharacteristic
509C4×SD16C2311yescharacteristic
510C4×SD16C2311yescharacteristic
511C4×D8—21no—
512C4×D8—21no—
513C4×D8—21no—
514C4×D8C2311yescharacteristic
515C4×D8C2311yescharacteristic
516C4×D8C2311yescharacteristic
517C4×D8C2311yescharacteristic
518#436—21no—
519#436C2311yescharacteristic
520#436C2311yescharacteristic
521#436C2311yescharacteristic
522#436C2311yescharacteristic
523#436C2311yescharacteristic
524#435—21no—
525#435—21no—
526#435—21no—
527#435—21no—
528#435—21no—
529#435—21no—
530#435—21no—
531C8×D4C2311yescharacteristic
532C8×D4C2311yescharacteristic
533C8×D4C2311yescharacteristic
534C8×D4C2311yescharacteristic
535C8×D4C2311yescharacteristic
536C8×D4C2311yescharacteristic
537C8×D4C2311yescharacteristic
538#433—21no—
539#432—21no—
540#432C2311yescharacteristic
541#431C2311yescharacteristic
542#431C2311yescharacteristic
543#431C2311yescharacteristic
544#428—21no—
545#428—21no—
546#428—21no—
547#428D411yescharacteristic
548C2×#107—21no—
549C2×#107—21no—
550C2×#107—21no—
551#423C2311yescharacteristic
552#423C2311yescharacteristic
553C2×C4⋊C8—21no—
554#419—21no—
555#419—21no—
556#419—21no—
557#418—21no—
558#418D411yescharacteristic
559#417—21no—
560#417—21no—
561#417—21no—
562#417—21no—
563#417—21no—
564#417—21no—
565#417—21no—
566#417—21no—
567#417—21no—
568#417D411yescharacteristic
569#416—21no—
570#416—21no—
571#416—21no—
572#416—21no—
573#416—21no—
574#416—21no—
575C2×#103—21no—
576C2×#103—21no—
577#407—21no—
578#407—21no—
579C2×C22⋊C8—21no—
580#405—21no—
581C4×M16C2311yescharacteristic
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#332C2311yescharacteristic
601#332C2311yescharacteristic
602#332C2311yescharacteristic
603#332C2311yescharacteristic
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
624#322C2311yescharacteristic
625C82C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—21no—
636C2×#41—21no—
637C2×#41—41no—
638C2×#41—41no—
639C2×#41—44no—
640C2×#41—82no—
641C2×#41C2×D411yescharacteristic
642C22×Q8—21no—
643C22×Q8—21no—
644C22×D4—41no—
645C22×D4C2×D411yescharacteristic
646C22×D4C2×D411yescharacteristic
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—41no—
650#137—82no—
651AGL(1,ℤ/8)—42no—
652AGL(1,ℤ/8)—82no—
653#135—44no—
654#135—82no—
655#135—82no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16—21no—
661C2×Q16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16C2×D411yescharacteristic
675C2×SD16C2×D411yescharacteristic
676C2×SD16C2×D411yescharacteristic
677C2×SD16C2×D411yescharacteristic
678C2×D8—21no—
679C2×D8—21no—
680C2×D8—21no—
681C2×D8—21no—
682C2×D8C2×D411yescharacteristic
683C2×D8C2×D411yescharacteristic
684C2×D8C2×D411yescharacteristic
685C2×D8C2×D411yescharacteristic
686C2×M16—21no—
687C2×M16—21no—
688C2×M16—21no—
689C2×M16—21no—
690C2×M16—21no—
691C2×M16—21no—
692C2×M16—21no—
693C2×M16—82no—
694C2×M16C2×D411yescharacteristic
695C2×M16C2×D411yescharacteristic
696C22×C8—21no—
697C22×C8—21no—
698C22×C8—21no—
699C22×C8—21no—
700C22×C8—21no—
701C22×C8—21no—
702C22×C8—21no—
703C4⋊Q8—21no—
704C4⋊Q8—21no—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—21no—
708C4⋊Q8C2411yescharacteristic
709C4⋊Q8C2411yescharacteristic
710C4⋊Q8C2411yescharacteristic
711C4⋊Q8C2411yescharacteristic
712C4⋊Q8C2411yescharacteristic
713C4⋊Q8C2411yescharacteristic
714C4⋊Q8C2411yescharacteristic
715#127—21no—
716#127—21no—
717#127—41no—
718#127C2411yescharacteristic
719#126—21no—
720#126—41no—
721#126—41no—
722#126—41no—
723#126—41no—
724#126—41no—
725#126—41no—
726#125—21no—
727#125—21no—
728#125—21no—
729#125—21no—
730#125—41no—
731#125—41no—
732#125—41no—
733#125C2×D411yescharacteristic
734#124—21no—
735#124—21no—
736#124—21no—
737#124—41no—
738#124—41no—
739#124C2×D411yescharacteristic
740#123—21no—
741#123—41no—
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—
757#123—41no—
758#123—41no—
759#123—41no—
760#123—41no—
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—21no—
770C22⋊Q8—21no—
771C22⋊Q8—21no—
772C22⋊Q8—21no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8C2×D411yescharacteristic
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—21no—
794#121—21no—
795#121—21no—
796#121—21no—
797#121—21no—
798#121—21no—
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#121—41no—
810#121C2×D411yescharacteristic
811#120—41no—
812#120—41no—
813C4×Q8—21no—
814C4×Q8—21no—
815C4×Q8—21no—
816C4×Q8—21no—
817C4×Q8—21no—
818C4×Q8—21no—
819C4×Q8—21no—
820C4×Q8—21no—
821C4×Q8C2×D411yescharacteristic
822C4×Q8C2411yescharacteristic
823C4×Q8C2411yescharacteristic
824C4×D4—21no—
825C4×D4—21no—
826C4×D4—21no—
827C4×D4—21no—
828C4×D4—21no—
829C4×D4—21no—
830C4×D4—21no—
831C4×D4—21no—
832C4×D4—21no—
833C4×D4—21no—
834C4×D4—21no—
835C4×D4—21no—
836C4×D4—21no—
837C4×D4—41no—
838C4×D4—41no—
839C4×D4—41no—
840C4×D4—41no—
841C4×D4—41no—
842C4×D4—41no—
843C4×D4—41no—
844C4×D4—41no—
845C4×D4—41no—
846C4×D4—41no—
847C4×D4C2×D411yescharacteristic
848C4×D4C2×D411yescharacteristic
849C4×D4C2×D411yescharacteristic
850C4×D4C2×D411yescharacteristic
851C4×D4C2×D411yescharacteristic
852C4×D4C2411yescharacteristic
853C4×D4C2411yescharacteristic
854C4×D4C2411yescharacteristic
855C4×D4C2411yescharacteristic
856C4×D4C2411yescharacteristic
857C4×D4C2411yescharacteristic
858#117—21no—
859#117—21no—
860#117—21no—
861#117—21no—
862#117—21no—
863#117—21no—
864#117—21no—
865#117—21no—
866#117—41no—
867#117—41no—
868#117—41no—
869#117—41no—
870#117—41no—
871#117C2×D411yescharacteristic
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—41no—
884C2×C4⋊C4—41no—
885C2×C4⋊C4—41no—
886C2×C4⋊C4—41no—
887C2×C4⋊C4—41no—
888C2×C4⋊C4C2×D411yescharacteristic
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—41no—
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#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#106—41no—
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⋊C8—21no—
939C4⋊C8C2×D411yescharacteristic
940C4⋊C8C2×D411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
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—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—21no—
975#103—21no—
976#103—21no—
977#103—21no—
978#103—21no—
979#103—21no—
980#103—21no—
981#103—41no—
982#103—41no—
983#103C2×D411yescharacteristic
984#103C2×D411yescharacteristic
985#103C2×D411yescharacteristic
986#103C2×D411yescharacteristic
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—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
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8C2×D411yescharacteristic
1037C22⋊C8C2×D411yescharacteristic
1038#97—21no—
1039#97—21no—
1040#97—21no—
1041#97—21no—
1042#97C2×D411yescharacteristic
1043#97C2×D411yescharacteristic
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C24—21no—
1053C24—21no—
1054#41—41no—
1055#41—41no—
1056#41—42no—
1057#41—42no—
1058#41—42no—
1059#41—42no—
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—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—84no—
1073#41—84no—
1074#41—81no—
1075#41—81no—
1076#41—81no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—41no—
1088C2×Q8—42no—
1089C2×Q8—42no—
1090C2×Q8—41no—
1091C2×Q8—81no—
1092C2×Q8—81no—
1093C2×Q8C22×D411yescharacteristic
1094C2×Q8C22×D411yescharacteristic
1095C2×D4—22no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
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—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—84no—
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—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—42no—
1144C22×C4—42no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—81no—
1158C22×C4—81no—
1159C22×C4—84no—
1160C22×C4C22×D411yescharacteristic
1161C22×C4C22×D411yescharacteristic
1162C22×C4H(5,𝔽2)11yescharacteristic
1163Q16—42no—
1164Q16—81no—
1165Q16—81no—
1166Q16—81no—
1167Q16—81no—
1168Q16—81no—
1169SD16—22no—
1170SD16—41no—
1171SD16—41no—
1172SD16—41no—
1173SD16—42no—
1174SD16—42no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178SD16—81no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182SD16—81no—
1183SD16—81no—
1184SD16—81no—
1185D8—22no—
1186D8—41no—
1187D8—41no—
1188D8—41no—
1189D8—42no—
1190D8—42no—
1191D8—81no—
1192D8—81no—
1193M16—41no—
1194M16—41no—
1195M16—42no—
1196M16—81no—
1197M16—81no—
1198M16—81no—
1199M16—81no—
1200M16—81no—
1201M16—81no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—42no—
1213C2×C8—81no—
1214C2×C8—81no—
1215C2×C8—81no—
1216C2×C8—81no—
1217C2×C8—81no—
1218C2×C8—81no—
1219C2×C8C22×D411yescharacteristic
1220C2×C8C22×D411yescharacteristic
1221C2×C8C22×D411yescharacteristic
1222C2×C8C22×D411yescharacteristic
1223C2×C8C22×D411yescharacteristic
1224C2×C8C22×D411yescharacteristic
1225C2×C8C22×D411yescharacteristic
1226C2×C8C22×D411yescharacteristic
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
1234C4⋊C4—21no—
1235C4⋊C4—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4C22×D411yescharacteristic
1272C4⋊C4C22×D411yescharacteristic
1273C4⋊C4C22×D411yescharacteristic
1274C4⋊C4C22×D411yescharacteristic
1275C4⋊C4C22×D411yescharacteristic
1276C4⋊C4C22×D411yescharacteristic
1277C4⋊C4C22×D411yescharacteristic
1278C4⋊C4C22×D411yescharacteristic
1279C22⋊C4—21no—
1280C22⋊C4—21no—
1281C22⋊C4—21no—
1282C22⋊C4—21no—
1283C22⋊C4—21no—
1284C22⋊C4—21no—
1285C22⋊C4—21no—
1286C22⋊C4—21no—
1287C22⋊C4—21no—
1288C22⋊C4—21no—
1289C22⋊C4—21no—
1290C22⋊C4—21no—
1291C22⋊C4—21no—
1292C22⋊C4—21no—
1293C22⋊C4—21no—
1294C22⋊C4—21no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C42—21no—
1318C42—21no—
1319C42—21no—
1320C42—21no—
1321C42—41no—
1322C42—41no—
1323C42—41no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42C22×D411yescharacteristic
1328C42C22×D411yescharacteristic
1329C42H(5,𝔽2)11yescharacteristic
1330C42C2511yescharacteristic
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—42no—
1338C23—42no—
1339C23—42no—
1340C23—41no—
1341C23—81no—
1342C23—81no—
1343C23—81no—
1344C23D4211yescharacteristic
1345Q8—21no—
1346Q8—21no—
1347Q8—21no—
1348Q8—21no—
1349Q8—41no—
1350Q8—41no—
1351Q8—41no—
1352Q8—41no—
1353Q8—41no—
1354Q8—41no—
1355Q8—41no—
1356Q8—41no—
1357Q8—41no—
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361Q8—81no—
1362Q8—82no—
1363Q8—161no—
1364D4—21no—
1365D4—21no—
1366D4—21no—
1367D4—21no—
1368D4—21no—
1369D4—21no—
1370D4—21no—
1371D4—21no—
1372D4—21no—
1373D4—21no—
1374D4—21no—
1375D4—42no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—81no—
1381D4—81no—
1382D4—81no—
1383D4—81no—
1384D4—82no—
1385D4—82no—
1386D4—82no—
1387D4—82no—
1388D4—82no—
1389D4—82no—
1390D4—82no—
1391D4—161no—
1392D4—161no—
1393D4—161no—
1394D4—161no—
1395D4—161no—
1396D4—161no—
1397D4—161no—
1398D4#57512yes—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—41no—
1414C2×C4—42no—
1415C2×C4—42no—
1416C2×C4—42no—
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—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—81no—
1437C2×C4—81no—
1438C2×C4—81no—
1439C2×C4—81no—
1440C2×C4—81no—
1441C2×C4—82no—
1442C2×C4—82no—
1443C2×C4—82no—
1444C2×C4—82no—
1445C2×C4—82no—
1446C2×C4—82no—
1447C2×C4—82no—
1448C2×C4—82no—
1449C2×C4—161no—
1450C2×C4—161no—
1451C2×C4—161no—
1452C2×C4—161no—
1453C2×C4—161no—
1454C2×C4—161no—
1455C2×C4D4211yescharacteristic
1456C2×C4D4211yescharacteristic
1457C2×C4D4211yescharacteristic
1458C2×C4C23×D411yescharacteristic
1459C2×C4C23×D411yescharacteristic
1460C2×C4C2×H(5,𝔽2)11yescharacteristic
1461C8—21no—
1462C8—21no—
1463C8—21no—
1464C8—21no—
1465C8—21no—
1466C8—21no—
1467C8—21no—
1468C8—21no—
1469C8—41no—
1470C8—41no—
1471C8—41no—
1472C8—41no—
1473C8—41no—
1474C8—41no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C22—21no—
1480C22—22no—
1481C22—21no—
1482C22—21no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—84no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—162no—
1505C22C2×D4211yescharacteristic
1506C4—21no—
1507C4—21no—
1508C4—21no—
1509C4—21no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—81no—
1521C4—81no—
1522C4—81no—
1523C4—81no—
1524C4—81no—
1525C4—81no—
1526C4—81no—
1527C4C2×#57511yescharacteristic
1528C4#358411yescharacteristic
1529C4#358511yescharacteristic
1530C4#358511yescharacteristic
1531C2—41no—
1532C2—42no—
1533C2—81no—
1534C2—81no—
1535C2—81no—
1536C2—81no—
1537C2—81no—
1538C2—161no—
1539C2#6106611yescharacteristic
1540C2#6107411yescharacteristic
1541C2#6110811yescharacteristic
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. #61993C2semidirect
2. #61737C2semidirect
3. #61545C2semidirect
4. #61159C2semidirect
5. #20290C2semidirect
6. #20255C2semidirect
7. #20254C2semidirect
8. #20235C2semidirect
9. #20180C2semidirect
10. #20137C2semidirect
11. #20058C2semidirect
12. #20056C2semidirect
13. #20043C2semidirect
14. #19991C2semidirect
15. #19948C2semidirect
16. #19902C2semidirect
17. #19851C2semidirect
18. #19820C2semidirect
19. #19776C2semidirect
20. #19776C2semidirect
21. #19723C2semidirect
22. #19490C2semidirect
23. #19460C2semidirect
24. #19381C2semidirect
25. #19304C2semidirect
26. #18858C2semidirect
27. #18823C2semidirect
28. #18807C2semidirect
29. #18782C2semidirect
30. #18050C2semidirect
31. #18008C2semidirect
36. #3398C22semidirect
37. #3397C22semidirect
38. #3397C22semidirect
39. #3386C22semidirect
40. #3372C22semidirect
41. #3366C22semidirect
42. #3364C22semidirect
43. #3358C22semidirect
51. #3334C22semidirect
53. #3332C22semidirect
60. #3330C22semidirect
70. #3305C22semidirect
73. #3303C22semidirect
78. #3284C22semidirect
79. #3284C22semidirect
80. #3283C22semidirect
120. #1723C22semidirect
121. #1719C22semidirect
122. #1719C22semidirect
123. #1718C22semidirect
124. #1718C22semidirect
125. #1714C22semidirect
126. #1711C22semidirect
127. #1707C22semidirect
128. #1704C22semidirect
129. #1703C22semidirect
130. #1703C22semidirect
131. #1701C22semidirect
132. #1700C22semidirect
133. #1700C22semidirect
134. #1700C22semidirect
135. #1699C22semidirect
136. #1699C22semidirect
137. #1697C22semidirect
138. #1694C22semidirect
139. #1694C22semidirect
140. #1693C22semidirect
141. #1689C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1684C22semidirect
145. #1683C22semidirect
146. #1683C22semidirect
147. #1681C22semidirect
148. #1680C22semidirect
149. #1679C22semidirect
150. #1679C22semidirect
151. #1679C22semidirect
152. #1679C22semidirect
153. #1677C22semidirect
154. #1673C22semidirect
155. #1673C22semidirect
156. #1673C22semidirect
157. #1669C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
164. #1654C22semidirect
165. #1654C22semidirect
166. #1654C22semidirect
167. #1654C22semidirect
168. #1653C22semidirect
169. #1653C22semidirect
170. #1652C22semidirect
171. #1652C22semidirect
172. #1650C22semidirect
173. #1649C22semidirect
174. #1647C22semidirect
175. #1647C22semidirect
176. #1646C22semidirect
177. #1646C22semidirect
178. #1644C22semidirect
179. #1643C22semidirect
180. #1642C22semidirect
181. #1642C22semidirect
182. #1641C22semidirect
183. #1641C22semidirect
184. #1638C22semidirect
185. #1637C22semidirect
186. #1635C22semidirect
187. #1635C22semidirect
192. #1592C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1589C22semidirect
196. #1586C22semidirect
197. #1586C22semidirect
198. #1585C22semidirect
199. #1585C22semidirect
200. #1583C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. #1580C22semidirect
206. C8×SD16C22semidirect
207. C8×D8C22semidirect

Maximal subgroups

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

subgroupindex
#619932
#617372
#615452
#611592
#202902
#202552
#202542
#202352
#201802
#201372
#200582
#200562
#200432
#199912
#199482
#199022
#198512
#198202
#197762
#197232
#194902
#194602
#193812
#193042
#188582
#188232
#188072
#187822
#180502
#180082