Finite Group Databasebeta

← #6369301

Subgroups — #6369301

Order 512.

1601 conjugacy classes of subgroups.

The subgroup lattice has 1529 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62145C211yesmaximal, characteristic, complemented
2#61733C211yesmaximal, characteristic, complemented
3#61461C211yesmaximal, characteristic, complemented
4#61200C211yesmaximal, characteristic, complemented
5#20287C211yesmaximal, characteristic, complemented
6#20263C211yesmaximal, characteristic, complemented
7#20241C211yesmaximal, characteristic, complemented
8#20239C211yesmaximal, characteristic, complemented
9#20175C211yesmaximal, characteristic, complemented
10#20134C211yesmaximal, characteristic, complemented
11#20105C211yesmaximal, characteristic, complemented
12#20055C211yesmaximal, characteristic, complemented
13#20042C211yesmaximal, characteristic, complemented
14#19988C211yesmaximal, characteristic, complemented
15#19954C211yesmaximal, characteristic, complemented
16#19917C211yesmaximal, characteristic, complemented
17#19859C211yesmaximal, characteristic, complemented
18#19823C211yesmaximal, characteristic, complemented
19#19790C211yesmaximal, characteristic, complemented
20#19778C211yesmaximal, characteristic, complemented
21#19716C211yesmaximal, characteristic, complemented
22#19498C211yesmaximal, characteristic, complemented
23#19463C211yesmaximal, characteristic, complemented
24#19371C211yesmaximal, characteristic, complemented
25#19318C211yesmaximal, characteristic, complemented
26#18846C211yesmaximal, characteristic, complemented
27#18821C211yesmaximal, characteristic, complemented
28#18793C211yesmaximal, characteristic, complemented
29#18784C211yesmaximal, characteristic, complemented
30#18052C211yesmaximal, characteristic, complemented
31#18007C211yesmaximal, characteristic, complemented
32#3511C2211yescharacteristic
33#3496C2211yescharacteristic
34#3482C2211yescharacteristic, complemented
35#3475C2211yescharacteristic
36#3398C2211yescharacteristic, complemented
37#3384C2211yescharacteristic, complemented
38#3381C2211yescharacteristic, complemented
39#3381C2211yescharacteristic, complemented
40#3372C2211yescharacteristic, complemented
41#3367C2211yescharacteristic, complemented
42#3360C2211yescharacteristic, complemented
43#3360C2211yescharacteristic, complemented
44#3354C2211yescharacteristic
45#3354C2211yescharacteristic, complemented
46#3354C2211yescharacteristic, complemented
47#3353C2211yescharacteristic
48#3351—21no—
49#3351—21no—
50#3349—21no—
51#3345—21no—
52#3343—21no—
53#3340C2211yescharacteristic, complemented
54#3335C2211yescharacteristic
55#3334C2211yescharacteristic
56#3331C2211yescharacteristic
57#3331C2211yescharacteristic
58#3329C2211yescharacteristic, complemented
59#3329C2211yescharacteristic, complemented
60#3326—21no—
61#3326—21no—
62#3325C2211yescharacteristic
63#3325C2211yescharacteristic
64#3325C2211yescharacteristic
65#3324C2211yescharacteristic
66#3318—21no—
67#3315—21no—
68#3311—21no—
69#3311—21no—
70#3311—21no—
71#3310—21no—
72#3306—21no—
73#3306—21no—
74#3303C2211yescharacteristic
75#3303C2211yescharacteristic
76#3303C2211yescharacteristic, complemented
77#3302C2211yescharacteristic, complemented
78#3295C2211yescharacteristic
79#3295C2211yescharacteristic
80#3295C2211yescharacteristic
81#3294C2211yescharacteristic
82#3283C2211yescharacteristic, complemented
83#3267—21no—
84#3254C2211yescharacteristic
85#3251—21no—
86#3235C2211yescharacteristic
87#3233—21no—
88#3229C2211yescharacteristic, complemented
89#3228C2211yescharacteristic
90#3228C2211yescharacteristic
91#3209C2211yescharacteristic, complemented
92#3194—21no—
93#3188—21no—
94#3185C2211yescharacteristic, complemented
95#3181—21no—
96#3141C2211yescharacteristic
97#3116—21no—
98#3116C2211yescharacteristic, complemented
99#3115C2211yescharacteristic
100#3111—21no—
101#3110C2211yescharacteristic
102#3106C2211yescharacteristic
103#3103—21no—
104#3099—21no—
105#3094—21no—
106C2×#482—21no—
107#3079C2211yescharacteristic, complemented
108#3078—21no—
109C2×#476C2211yescharacteristic
110#3060—21no—
111#3035C2211yescharacteristic
112#3012—21no—
113#2991C2211yescharacteristic, complemented
114#2974C2211yescharacteristic
115#2970C2211yescharacteristic, complemented
116C4×AGL(1,ℤ/8)C2211yescharacteristic
117#2943—21no—
118#2935C2211yescharacteristic
119#2897—21no—
120#1723C2211yescharacteristic, complemented
121#1720C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1720C2211yescharacteristic, complemented
124#1718C2211yescharacteristic, complemented
125#1716C2211yescharacteristic, complemented
126#1711C2211yescharacteristic, complemented
127#1707C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1704C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1703C2211yescharacteristic, complemented
132#1703C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1699C2211yescharacteristic, complemented
135#1698C2211yescharacteristic, complemented
136#1698C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1693C2211yescharacteristic, complemented
139#1691C2211yescharacteristic, complemented
140#1691C2211yescharacteristic, complemented
141#1691C2211yescharacteristic, complemented
142#1691C2211yescharacteristic, complemented
143#1689C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1683C2211yescharacteristic, complemented
147#1683C2211yescharacteristic, complemented
148#1683C2211yescharacteristic, complemented
149#1682C2211yescharacteristic, complemented
150#1679C2211yescharacteristic, complemented
151#1678C2211yescharacteristic, complemented
152#1677C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1674C2211yescharacteristic, complemented
155#1672C2211yescharacteristic, complemented
156#1671C2211yescharacteristic, complemented
157#1671C2211yescharacteristic, complemented
158#1671C2211yescharacteristic, complemented
159#1669C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic
162#1652C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1648C2211yescharacteristic, complemented
165#1647C2211yescharacteristic
166#1647C2211yescharacteristic
167#1647C2211yescharacteristic, complemented
168#1646C2211yescharacteristic, complemented
169#1646C2211yescharacteristic, complemented
170#1644C2211yescharacteristic, complemented
171#1644C2211yescharacteristic, complemented
172#1639C2211yescharacteristic
173#1639C2211yescharacteristic
174#1639C2211yescharacteristic
175#1639C2211yescharacteristic
176#1638C2211yescharacteristic, complemented
177#1638C2211yescharacteristic, complemented
178#1635C2211yescharacteristic, complemented
179#1635C2211yescharacteristic, complemented
180#1634C2211yescharacteristic, complemented
181#1634C2211yescharacteristic, complemented
182#1634C2211yescharacteristic, complemented
183#1634C2211yescharacteristic, complemented
184#1632C2211yescharacteristic, complemented
185#1632C2211yescharacteristic, complemented
186#1632C2211yescharacteristic, complemented
187#1632C2211yescharacteristic, complemented
188#1628C2211yescharacteristic, complemented
189#1627C2211yescharacteristic, complemented
190#1626C2211yescharacteristic, complemented
191#1625C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1586C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1558C2211yescharacteristic, complemented
211#1557C2211yescharacteristic
212#1552C2211yescharacteristic, complemented
213#1550C2211yescharacteristic, complemented
214#1496C2211yescharacteristic
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic
217#1477C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C2×AGL(1,ℤ/8)D411yescharacteristic
221C2×#135—21no—
222C2×#135—21no—
223C2×#131—21no—
224#557C2311yescharacteristic
225#556—21no—
226#556—21no—
227#556C2311yescharacteristic
228#556C2311yescharacteristic
229#555C2311yescharacteristic
230#555C2311yescharacteristic
231#555C2311yescharacteristic
232#554C2311yescharacteristic
233#554C2311yescharacteristic
234#554C2311yescharacteristic
235#553—21no—
236#553—21no—
237#553—21no—
238#552—21no—
239#552—21no—
240#552—21no—
241#552—41no—
242#551—41no—
243D4×Q8C2311yescharacteristic
244#548—21no—
245#548—41no—
246#547—21no—
247#547—21no—
248#547—21no—
249#547C2311yescharacteristic
250#547C2311yescharacteristic
251#547C2311yescharacteristic
252#547C2311yescharacteristic
253#546—21no—
254#546—21no—
255#546—21no—
256#546—41no—
257D42—21no—
258D42C2311yescharacteristic
259D42C2311yescharacteristic
260#542—41no—
261#537—21no—
262#537—21no—
263#534—41no—
264#533—21no—
265#533—21no—
266#533C2311yescharacteristic
267#533C2311yescharacteristic
268#532—21no—
269#532C2311yescharacteristic
270#532C2311yescharacteristic
271C2×C4⋊Q8C2311yescharacteristic
272#529—21no—
273#529—21no—
274#529—41no—
275#529—41no—
276#525—21no—
277C2×#121—21no—
278C2×#121—21no—
279#520—21no—
280C4×#41—21no—
281C4×#41—21no—
282C4×#41C2311yescharacteristic
283C4×#41C2311yescharacteristic
284C2×C4×Q8—21no—
285C2×C4×D4C2311yescharacteristic
286C2×#117—21no—
287#501—21no—
288#501—21no—
289#500C2311yescharacteristic
290#500C2311yescharacteristic
291#499—21no—
292#499—21no—
293#498C2311yescharacteristic
294#498C2311yescharacteristic
295#498C2311yescharacteristic
296#498C2311yescharacteristic
297#498C2311yescharacteristic
298#497—21no—
299#494C2311yescharacteristic
300#494C2311yescharacteristic
301#494C2311yescharacteristic
302#491—21no—
303#490—21no—
304#489—21no—
305#489—21no—
306#489—21no—
307#488—21no—
308#488—21no—
309#487C2311yescharacteristic
310#487C2311yescharacteristic
311#487C2311yescharacteristic
312#487C2311yescharacteristic
313#487C2311yescharacteristic
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#486C2311yescharacteristic
318#486C2311yescharacteristic
319#486C2311yescharacteristic
320#486C2311yescharacteristic
321#486C2311yescharacteristic
322#486C2311yescharacteristic
323#485—21no—
324#485—21no—
325#485—21no—
326#485—21no—
327#485—21no—
328#485—21no—
329#485—21no—
330#485—21no—
331#484—21no—
332#484—21no—
333#483—21no—
334#483—21no—
335#483—21no—
336#483—21no—
337#483—21no—
338#482—21no—
339#482—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—41no—
353#482D411yescharacteristic
354#482D411yescharacteristic
355#481—21no—
356#481—21no—
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#479—21no—
366#479—21no—
367#479—21no—
368#479—21no—
369#479—21no—
370#478—21no—
371#478—21no—
372#478—21no—
373#478—21no—
374#478—21no—
375#478—41no—
376#477—21no—
377#477—21no—
378#477D411yescharacteristic
379#477C2311yescharacteristic
380#477C2311yescharacteristic
381#477C2311yescharacteristic
382#476—21no—
383#476—21no—
384#476—21no—
385#476D411yescharacteristic
386#476C2311yescharacteristic
387#476C2311yescharacteristic
388#476C2311yescharacteristic
389#476C2311yescharacteristic
390#476C2311yescharacteristic
391#476C2311yescharacteristic
392#476C2311yescharacteristic
393#476C2311yescharacteristic
394#476C2311yescharacteristic
395#475—21no—
396#475—21no—
397#475—21no—
398#475C2311yescharacteristic
399#474—21no—
400#474C2311yescharacteristic
401#474C2311yescharacteristic
402#474C2311yescharacteristic
403#474C2311yescharacteristic
404#474C2311yescharacteristic
405#474C2311yescharacteristic
406#474C2311yescharacteristic
407#470—21no—
408#470—21no—
409#470—21no—
410#470—21no—
411#469—21no—
412#469—21no—
413#469—21no—
414#469—21no—
415#469—21no—
416#469—21no—
417#468—21no—
418#468—21no—
419#468—21no—
420#468—21no—
421#468—21no—
422#468—21no—
423#467—21no—
424#467—21no—
425#466—21no—
426#466—21no—
427#465—21no—
428#465—21no—
429#465—21no—
430#465—21no—
431#465—21no—
432#465—21no—
433#465—21no—
434#465—21no—
435#464—21no—
436#464—21no—
437#463—21no—
438#463—21no—
439#463—21no—
440#463—21no—
441#462—21no—
442#462—41no—
443#462C2311yescharacteristic
444#462C2311yescharacteristic
445#461—21no—
446#461C2311yescharacteristic
447#461C2311yescharacteristic
448#461C2311yescharacteristic
449#461C2311yescharacteristic
450#461C2311yescharacteristic
451#461C2311yescharacteristic
452#460—21no—
453#460D411yescharacteristic
454#460C2311yescharacteristic
455#460C2311yescharacteristic
456#459D411yescharacteristic
457#459C2311yescharacteristic
458#459C2311yescharacteristic
459#452—21no—
460#452—21no—
461#452—21no—
462#452—21no—
463#452—21no—
464#452—21no—
465#451—41no—
466#450—21no—
467#450—21no—
468#450—21no—
469#450—21no—
470#450—21no—
471#449—21no—
472#449—21no—
473#449—21no—
474#449—21no—
475#449D411yescharacteristic
476#449D411yescharacteristic
477#448—21no—
478#448—21no—
479#447—21no—
480#447—21no—
481#447—21no—
482#447—21no—
483#446C2311yescharacteristic
484#446C2311yescharacteristic
485C8×Q8C2311yescharacteristic
486C8×Q8C2311yescharacteristic
487#442—21no—
488#442—21no—
489#442D411yescharacteristic
490#442D411yescharacteristic
491#441—21no—
492#441—21no—
493#441—21no—
494#441—21no—
495#440—21no—
496#440—21no—
497#440—21no—
498#440—21no—
499#440—21no—
500#440—21no—
501#440D411yescharacteristic
502#440D411yescharacteristic
503C4×SD16—21no—
504C4×SD16—21no—
505C4×SD16—21no—
506C4×SD16—21no—
507C4×SD16C2311yescharacteristic
508C4×SD16C2311yescharacteristic
509C4×SD16C2311yescharacteristic
510C4×SD16C2311yescharacteristic
511C4×D8C2311yescharacteristic
512C4×D8C2311yescharacteristic
513C4×D8C2311yescharacteristic
514C4×D8C2311yescharacteristic
515#436—21no—
516#436—21no—
517#436C2311yescharacteristic
518#436C2311yescharacteristic
519#436C2311yescharacteristic
520#436C2311yescharacteristic
521#436C2311yescharacteristic
522#436C2311yescharacteristic
523#435—21no—
524#435—21no—
525#435—21no—
526#435—21no—
527#435—21no—
528#435—21no—
529C8×D4C2311yescharacteristic
530C8×D4C2311yescharacteristic
531C8×D4C2311yescharacteristic
532C8×D4C2311yescharacteristic
533C8×D4C2311yescharacteristic
534C8×D4C2311yescharacteristic
535#432—21no—
536#432C2311yescharacteristic
537#432C2311yescharacteristic
538#431—21no—
539#431C2311yescharacteristic
540#431C2311yescharacteristic
541#428—21no—
542#428—21no—
543#428—21no—
544#428—21no—
545#428—21no—
546#428D411yescharacteristic
547#427—21no—
548C2×#107—21no—
549C2×#106—21no—
550C2×#106—21no—
551#423—21no—
552#423C2311yescharacteristic
553C2×C4⋊C8C2311yescharacteristic
554#419—21no—
555#419—21no—
556#418—21no—
557#418—21no—
558#418—21no—
559#418—21no—
560#418D411yescharacteristic
561#417—21no—
562#417—21no—
563#417—21no—
564#417—21no—
565#417—21no—
566#417D411yescharacteristic
567#416—21no—
568#416—21no—
569#416—21no—
570#416—21no—
571#416—21no—
572C2×#102—21no—
573C2×#102—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577#408—21no—
578#407—21no—
579C2×C22⋊C8—21no—
580C4×M16C2311yescharacteristic
581C2×#97—21no—
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#333C2311yescharacteristic
595#333C2311yescharacteristic
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
626H(5,𝔽2)—44no—
627H(5,𝔽2)—82no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—41no—
635C2×#41—41no—
636C2×#41C2×D411yescharacteristic
637C2×#41C2×D411yescharacteristic
638C22×Q8—21no—
639C22×Q8—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—41no—
645C22×D4—41no—
646C22×D4—41no—
647C22×D4C2×D411yescharacteristic
648C23×C4—21no—
649AGL(1,ℤ/8)—42no—
650#135—44no—
651#135—82no—
652C2×Q16—21no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16—21no—
656C2×Q16—41no—
657C2×Q16—41no—
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—21no—
666C2×SD16C2×D411yescharacteristic
667C2×SD16C2×D411yescharacteristic
668C2×SD16C2×D411yescharacteristic
669C2×SD16C2×D411yescharacteristic
670C2×D8—21no—
671C2×D8—21no—
672C2×D8C2×D411yescharacteristic
673C2×D8C2×D411yescharacteristic
674C2×D8C2×D411yescharacteristic
675C2×D8C2×D411yescharacteristic
676#131—82no—
677C2×M16—21no—
678C2×M16—21no—
679C2×M16—21no—
680C2×M16—21no—
681C2×M16—21no—
682C2×M16—21no—
683C2×M16—21no—
684C2×M16C2×D411yescharacteristic
685C2×M16C2×D411yescharacteristic
686C22×C8—21no—
687C22×C8—21no—
688C22×C8—21no—
689C22×C8—21no—
690C22×C8—21no—
691C22×C8—21no—
692C22×C8—21no—
693C4⋊Q8—21no—
694C4⋊Q8—21no—
695C4⋊Q8—21no—
696C4⋊Q8—21no—
697C4⋊Q8—21no—
698C4⋊Q8C2×D411yescharacteristic
699C4⋊Q8C2411yescharacteristic
700C4⋊Q8C2411yescharacteristic
701C4⋊Q8C2411yescharacteristic
702C4⋊Q8C2411yescharacteristic
703C4⋊Q8C2411yescharacteristic
704C4⋊Q8C2411yescharacteristic
705C4⋊Q8C2411yescharacteristic
706#127C2×D411yescharacteristic
707#127C2411yescharacteristic
708#126—41no—
709#126—41no—
710#126—41no—
711#126—41no—
712#126—41no—
713#126—41no—
714#126—41no—
715#126—41no—
716#125—21no—
717#125—21no—
718#125—21no—
719#125—21no—
720#125—21no—
721#125—21no—
722#125—41no—
723#125—41no—
724#125—41no—
725#124—21no—
726#124—21no—
727#124—21no—
728#124—21no—
729#124—41no—
730#124—41no—
731#124—41no—
732#124—41no—
733#124—41no—
734#123—41no—
735#123—41no—
736#123—41no—
737#123—41no—
738#123—41no—
739#123—41no—
740#123—41no—
741#123—41no—
742#123—41no—
743#123—41no—
744#123—41no—
745#123—41no—
746#123—41no—
747C22⋊Q8—21no—
748C22⋊Q8—21no—
749C22⋊Q8—21no—
750C22⋊Q8—21no—
751C22⋊Q8—21no—
752C22⋊Q8—21no—
753C22⋊Q8—21no—
754C22⋊Q8—21no—
755C22⋊Q8—21no—
756C22⋊Q8—21no—
757C22⋊Q8—21no—
758C22⋊Q8—21no—
759C22⋊Q8—21no—
760C22⋊Q8—21no—
761C22⋊Q8—41no—
762C22⋊Q8—41no—
763C22⋊Q8—41no—
764C22⋊Q8—41no—
765C22⋊Q8—41no—
766C22⋊Q8—41no—
767C22⋊Q8—41no—
768C22⋊Q8—41no—
769#121—21no—
770#121—21no—
771#121—21no—
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—41no—
787#121—41no—
788#121—41no—
789#121—41no—
790#121—41no—
791#121—41no—
792#121—41no—
793#121—41no—
794#121—41no—
795#121—41no—
796#121C2×D411yescharacteristic
797#121C2×D411yescharacteristic
798#120—41no—
799#120—41no—
800#120—41no—
801#120—41no—
802#120—41no—
803C4×Q8—21no—
804C4×Q8—21no—
805C4×Q8—21no—
806C4×Q8—21no—
807C4×Q8—21no—
808C4×Q8—21no—
809C4×Q8—21no—
810C4×Q8—21no—
811C4×Q8—41no—
812C4×Q8—41no—
813C4×Q8—41no—
814C4×Q8—41no—
815C4×Q8C2×D411yescharacteristic
816C4×Q8C2×D411yescharacteristic
817C4×Q8C2411yescharacteristic
818C4×Q8C2411yescharacteristic
819C4×D4—21no—
820C4×D4—21no—
821C4×D4—21no—
822C4×D4—21no—
823C4×D4—21no—
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—41no—
833C4×D4—41no—
834C4×D4—41no—
835C4×D4—41no—
836C4×D4—41no—
837C4×D4—41no—
838C4×D4—41no—
839C4×D4—41no—
840C4×D4C2×D411yescharacteristic
841C4×D4C2×D411yescharacteristic
842C4×D4C2×D411yescharacteristic
843C4×D4C2×D411yescharacteristic
844C4×D4C2411yescharacteristic
845C4×D4C2411yescharacteristic
846C4×D4C2411yescharacteristic
847C4×D4C2411yescharacteristic
848C4×D4C2411yescharacteristic
849C4×D4C2411yescharacteristic
850#117—21no—
851#117—21no—
852#117—21no—
853#117—21no—
854#117—21no—
855#117—21no—
856#117—21no—
857#117—21no—
858#117—21no—
859#117—21no—
860#117—21no—
861#117—21no—
862#117—41no—
863#117—41no—
864#117—41no—
865#117—41no—
866#117—41no—
867#117C2×D411yescharacteristic
868#117C2×D411yescharacteristic
869C2×C4⋊C4—21no—
870C2×C4⋊C4—21no—
871C2×C4⋊C4—21no—
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—41no—
879C2×C4⋊C4C2×D411yescharacteristic
880C2×C22⋊C4—21no—
881C2×C22⋊C4—41no—
882C2×C22⋊C4—41no—
883C2×C22⋊C4—41no—
884C2×C42—21no—
885C2×C42—21no—
886C2×C42—41no—
887C2×C42—41no—
888C2×C42C2411yescharacteristic
889#107—21no—
890#107—21no—
891#107—21no—
892#107—21no—
893#107—21no—
894#107—21no—
895#107—21no—
896#107—21no—
897#107—21no—
898#107—21no—
899#107—21no—
900#107—21no—
901#107—41no—
902#107C2×D411yescharacteristic
903#107C2×D411yescharacteristic
904#107C2×D411yescharacteristic
905#107C2×D411yescharacteristic
906#106—21no—
907#106—21no—
908#106—21no—
909#106—21no—
910#106—21no—
911#106—21no—
912#106—21no—
913#106—21no—
914#106—21no—
915#106—21no—
916#106—21no—
917#106—21no—
918#106—21no—
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—21no—
924#106—41no—
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—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⋊C8—21no—
1033C22⋊C8C2×D411yescharacteristic
1034C22⋊C8C2×D411yescharacteristic
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97C2×D411yescharacteristic
1040#97C2×D411yescharacteristic
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8C2411yescharacteristic
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C24—21no—
1050C24—41no—
1051C24—41no—
1052#41—42no—
1053#41—42no—
1054#41—41no—
1055#41—41no—
1056#41—41no—
1057#41—41no—
1058#41—42no—
1059#41—42no—
1060#41—42no—
1061#41—42no—
1062#41—42no—
1063#41—42no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—84no—
1069#41—162no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—41no—
1079C2×Q8—41no—
1080C2×Q8—42no—
1081C2×Q8—81no—
1082C2×Q8—161no—
1083C2×Q8C22×D411yescharacteristic
1084C2×Q8C22×D411yescharacteristic
1085C2×D4—22no—
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—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—42no—
1102C2×D4—42no—
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—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—84no—
1118C2×D4—84no—
1119C2×D4—84no—
1120C2×D4C22×D411yescharacteristic
1121C2×D4C22×D411yescharacteristic
1122C2×D4C22×D411yescharacteristic
1123C2×D4C22×D411yescharacteristic
1124C2×D4C22×D411yescharacteristic
1125C2×D4C22×D411yescharacteristic
1126C22×C4—21no—
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—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—161no—
1159Q16—161no—
1160SD16—22no—
1161SD16—41no—
1162SD16—41no—
1163SD16—41no—
1164SD16—42no—
1165SD16—42no—
1166SD16—81no—
1167SD16—81no—
1168SD16—81no—
1169SD16—81no—
1170SD16—81no—
1171SD16—81no—
1172D8—22no—
1173D8—41no—
1174D8—41no—
1175D8—41no—
1176D8—81no—
1177D8—81no—
1178M16—41no—
1179M16—41no—
1180M16—81no—
1181M16—81no—
1182M16—81no—
1183M16—81no—
1184M16—81no—
1185M16—81no—
1186M16—81no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—42no—
1198C2×C8—42no—
1199C2×C8—81no—
1200C2×C8—81no—
1201C2×C8—81no—
1202C2×C8—81no—
1203C2×C8—81no—
1204C2×C8C22×D411yescharacteristic
1205C2×C8C22×D411yescharacteristic
1206C2×C8C22×D411yescharacteristic
1207C2×C8C22×D411yescharacteristic
1208C2×C8C22×D411yescharacteristic
1209C2×C8C22×D411yescharacteristic
1210C2×C8C22×D411yescharacteristic
1211C2×C8C22×D411yescharacteristic
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
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⋊C4C22×D411yescharacteristic
1255C4⋊C4C22×D411yescharacteristic
1256C4⋊C4C22×D411yescharacteristic
1257C4⋊C4C22×D411yescharacteristic
1258C4⋊C4C22×D411yescharacteristic
1259C4⋊C4C22×D411yescharacteristic
1260C4⋊C4C22×D411yescharacteristic
1261C4⋊C4C22×D411yescharacteristic
1262C22⋊C4—21no—
1263C22⋊C4—21no—
1264C22⋊C4—21no—
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—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
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—
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—21no—
1304C42—21no—
1305C42—21no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42C22×D411yescharacteristic
1315C42C22×D411yescharacteristic
1316C42H(5,𝔽2)11yescharacteristic
1317C42C2511yescharacteristic
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—42no—
1325C23—41no—
1326C23—81no—
1327C23—81no—
1328C23—82no—
1329C23—82no—
1330C23—161no—
1331C23—161no—
1332C23—161no—
1333C23—161no—
1334C23D4211yescharacteristic
1335Q8—21no—
1336Q8—21no—
1337Q8—21no—
1338Q8—21no—
1339Q8—42no—
1340Q8—41no—
1341Q8—41no—
1342Q8—41no—
1343Q8—41no—
1344Q8—41no—
1345Q8—41no—
1346Q8—41no—
1347Q8—41no—
1348Q8—81no—
1349Q8—81no—
1350Q8—81no—
1351Q8—82no—
1352Q8—82no—
1353D4—21no—
1354D4—21no—
1355D4—21no—
1356D4—21no—
1357D4—21no—
1358D4—21no—
1359D4—21no—
1360D4—21no—
1361D4—21no—
1362D4—21no—
1363D4—21no—
1364D4—42no—
1365D4—42no—
1366D4—42no—
1367D4—42no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—81no—
1373D4—81no—
1374D4—81no—
1375D4—81no—
1376D4—82no—
1377D4—82no—
1378D4—82no—
1379D4—82no—
1380D4—82no—
1381D4—82no—
1382D4—82no—
1383D4—161no—
1384D4—161no—
1385D4—161no—
1386D4—161no—
1387D4—161no—
1388D4#57512yes—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—41no—
1404C2×C4—42no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—81no—
1425C2×C4—81no—
1426C2×C4—81no—
1427C2×C4—81no—
1428C2×C4—81no—
1429C2×C4—82no—
1430C2×C4—81no—
1431C2×C4—82no—
1432C2×C4—82no—
1433C2×C4—82no—
1434C2×C4—82no—
1435C2×C4—82no—
1436C2×C4—161no—
1437C2×C4—161no—
1438C2×C4—161no—
1439C2×C4—161no—
1440C2×C4D4211yescharacteristic
1441C2×C4D4211yescharacteristic
1442C2×C4D4211yescharacteristic
1443C2×C4C23×D411yescharacteristic
1444C2×C4C23×D411yescharacteristic
1445C2×C4C2×H(5,𝔽2)11yescharacteristic
1446C8—21no—
1447C8—21no—
1448C8—21no—
1449C8—21no—
1450C8—21no—
1451C8—21no—
1452C8—21no—
1453C8—21no—
1454C8—41no—
1455C8—41no—
1456C8—41no—
1457C8—41no—
1458C8—41no—
1459C8—41no—
1460C8—41no—
1461C8—41no—
1462C8—41no—
1463C8—41no—
1464C22—21no—
1465C22—22no—
1466C22—21no—
1467C22—21no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—162no—
1489C22—322no—
1490C22—322no—
1491C22C2×D4211yescharacteristic
1492C4—21no—
1493C4—21no—
1494C4—21no—
1495C4—21no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—81no—
1507C4—81no—
1508C4—81no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4—81no—
1513C4C2×#57511yescharacteristic
1514C4#358411yescharacteristic
1515C4#358511yescharacteristic
1516C4#358611yescharacteristic
1517C2—41no—
1518C2—42no—
1519C2—81no—
1520C2—81no—
1521C2—81no—
1522C2—81no—
1523C2—81no—
1524C2—161no—
1525C2#6106611yescharacteristic
1526C2#6107311yescharacteristic
1527C2#6110711yescharacteristic
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. #62145C2semidirect
2. #61733C2semidirect
3. #61461C2semidirect
4. #61200C2semidirect
5. #20287C2semidirect
6. #20263C2semidirect
7. #20241C2semidirect
8. #20239C2semidirect
9. #20175C2semidirect
10. #20134C2semidirect
11. #20105C2semidirect
12. #20055C2semidirect
13. #20042C2semidirect
14. #19988C2semidirect
15. #19954C2semidirect
16. #19917C2semidirect
17. #19859C2semidirect
18. #19823C2semidirect
19. #19790C2semidirect
20. #19778C2semidirect
21. #19716C2semidirect
22. #19498C2semidirect
23. #19463C2semidirect
24. #19371C2semidirect
25. #19318C2semidirect
26. #18846C2semidirect
27. #18821C2semidirect
28. #18793C2semidirect
29. #18784C2semidirect
30. #18052C2semidirect
31. #18007C2semidirect
34. #3482C22semidirect
36. #3398C22semidirect
37. #3384C22semidirect
38. #3381C22semidirect
39. #3381C22semidirect
40. #3372C22semidirect
41. #3367C22semidirect
42. #3360C22semidirect
43. #3360C22semidirect
45. #3354C22semidirect
46. #3354C22semidirect
53. #3340C22semidirect
58. #3329C22semidirect
59. #3329C22semidirect
76. #3303C22semidirect
77. #3302C22semidirect
82. #3283C22semidirect
88. #3229C22semidirect
91. #3209C22semidirect
94. #3185C22semidirect
98. #3116C22semidirect
107. #3079C22semidirect
113. #2991C22semidirect
115. #2970C22semidirect
120. #1723C22semidirect
121. #1720C22semidirect
122. #1720C22semidirect
123. #1720C22semidirect
124. #1718C22semidirect
125. #1716C22semidirect
126. #1711C22semidirect
127. #1707C22semidirect
128. #1704C22semidirect
129. #1704C22semidirect
130. #1703C22semidirect
131. #1703C22semidirect
132. #1703C22semidirect
133. #1701C22semidirect
134. #1699C22semidirect
135. #1698C22semidirect
136. #1698C22semidirect
137. #1697C22semidirect
138. #1693C22semidirect
139. #1691C22semidirect
140. #1691C22semidirect
141. #1691C22semidirect
142. #1691C22semidirect
143. #1689C22semidirect
144. #1683C22semidirect
145. #1683C22semidirect
146. #1683C22semidirect
147. #1683C22semidirect
148. #1683C22semidirect
149. #1682C22semidirect
150. #1679C22semidirect
151. #1678C22semidirect
152. #1677C22semidirect
153. #1677C22semidirect
154. #1674C22semidirect
155. #1672C22semidirect
156. #1671C22semidirect
157. #1671C22semidirect
158. #1671C22semidirect
159. #1669C22semidirect
162. #1652C22semidirect
163. #1651C22semidirect
164. #1648C22semidirect
167. #1647C22semidirect
168. #1646C22semidirect
169. #1646C22semidirect
170. #1644C22semidirect
171. #1644C22semidirect
176. #1638C22semidirect
177. #1638C22semidirect
178. #1635C22semidirect
179. #1635C22semidirect
180. #1634C22semidirect
181. #1634C22semidirect
182. #1634C22semidirect
183. #1634C22semidirect
184. #1632C22semidirect
185. #1632C22semidirect
186. #1632C22semidirect
187. #1632C22semidirect
188. #1628C22semidirect
189. #1627C22semidirect
190. #1626C22semidirect
191. #1625C22semidirect
192. #1594C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1589C22semidirect
196. #1588C22semidirect
197. #1586C22semidirect
198. #1586C22semidirect
199. #1585C22semidirect
200. #1583C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1569C22semidirect
210. #1558C22semidirect
212. #1552C22semidirect
213. #1550C22semidirect
215. #1488C22semidirect
217. #1477C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621452
#617332
#614612
#612002
#202872
#202632
#202412
#202392
#201752
#201342
#201052
#200552
#200422
#199882
#199542
#199172
#198592
#198232
#197902
#197782
#197162
#194982
#194632
#193712
#193182
#188462
#188212
#187932
#187842
#180522
#180072