Finite Group Databasebeta

← #6369280

Subgroups — #6369280

Order 512.

1622 conjugacy classes of subgroups.

The subgroup lattice has 1531 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61989C211yesmaximal, characteristic
2#61841C211yesmaximal, characteristic, complemented
3#61540C211yesmaximal, characteristic, complemented
4#61162C211yesmaximal, characteristic, complemented
5#20307C211yesmaximal, characteristic, complemented
6#20283C211yesmaximal, characteristic, complemented
7#20265C211yesmaximal, characteristic, complemented
8#20207C211yesmaximal, characteristic, complemented
9#20180C211yesmaximal, characteristic, complemented
10#20136C211yesmaximal, characteristic, complemented
11#20115C211yesmaximal, characteristic, complemented
12#20039C211yesmaximal, characteristic, complemented
13#20038C211yesmaximal, characteristic, complemented
14#19978C211yesmaximal, characteristic, complemented
15#19936C211yesmaximal, characteristic, complemented
16#19901C211yesmaximal, characteristic, complemented
17#19839C211yesmaximal, characteristic, complemented
18#19822C211yesmaximal, characteristic, complemented
19#19773C211yesmaximal, characteristic, complemented
20#19763C211yesmaximal, characteristic, complemented
21#19718C211yesmaximal, characteristic, complemented
22#19488C211yesmaximal, characteristic, complemented
23#19473C211yesmaximal, characteristic, complemented
24#19382C211yesmaximal, characteristic, complemented
25#19304C211yesmaximal, characteristic, complemented
26#18835C211yesmaximal, characteristic, complemented
27#18824C211yesmaximal, characteristic, complemented
28#18806C211yesmaximal, characteristic, complemented
29#18748C211yesmaximal, characteristic, complemented
30#18051C211yesmaximal, characteristic, complemented
31#18008C211yesmaximal, characteristic, complemented
32#3523C2211yescharacteristic, complemented
33#3514C2211yescharacteristic
34C2×#554C2211yescharacteristic, complemented
35D4×#41C2211yescharacteristic
36#3400C2211yescharacteristic, complemented
37#3399C2211yescharacteristic
38#3397C2211yescharacteristic
39#3388—21no—
40#3388—21no—
41#3386C2211yescharacteristic, complemented
42#3384C2211yescharacteristic
43#3384C2211yescharacteristic, complemented
44#3381C2211yescharacteristic, complemented
45#3381C2211yescharacteristic, complemented
46#3376—21no—
47#3376—21no—
48#3373C2211yescharacteristic
49#3372C2211yescharacteristic, complemented
50#3372C2211yescharacteristic, complemented
51#3367C2211yescharacteristic
52#3365C2211yescharacteristic, complemented
53#3360C2211yescharacteristic
54#3360C2211yescharacteristic, complemented
55#3359C2211yescharacteristic, complemented
56#3348—21no—
57#3342C2211yescharacteristic, complemented
58#3333C2211yescharacteristic, complemented
59#3333C2211yescharacteristic, complemented
60#3331C2211yescharacteristic
61#3331C2211yescharacteristic
62#3329—21no—
63#3328C2211yescharacteristic, complemented
64#3324C2211yescharacteristic, complemented
65#3323—21no—
66#3316—21no—
67#3316—21no—
68#3314—21no—
69#3314—21no—
70#3308—21no—
71#3306—21no—
72#3299C2211yescharacteristic, complemented
73#3299C2211yescharacteristic, complemented
74#3298C2211yescharacteristic
75#3295C2211yescharacteristic
76#3295C2211yescharacteristic
77#3294C2211yescharacteristic
78D4×SD16C2211yescharacteristic
79D4×SD16C2211yescharacteristic, complemented
80D4×D8C2211yescharacteristic
81#3266—21no—
82#3265—21no—
83#3264—21no—
84#3251C2211yescharacteristic
85#3247—21no—
86#3238C2211yescharacteristic, complemented
87#3236—21no—
88#3232—21no—
89#3229C2211yescharacteristic, complemented
90#3228C2211yescharacteristic, complemented
91#3213—21no—
92#3207C2211yescharacteristic
93#3206C2211yescharacteristic, complemented
94#3182C2211yescharacteristic, complemented
95#3178—21no—
96#3141C2211yescharacteristic, complemented
97#3123—21no—
98#3121—21no—
99#3114—21no—
100#3114—21no—
101#3110C2211yescharacteristic, complemented
102#3107C2211yescharacteristic
103#3105C2211yescharacteristic
104#3103C2211yescharacteristic, complemented
105#3101—21no—
106#3092—21no—
107#3079C2211yescharacteristic
108#3056—21no—
109#3037C2211yescharacteristic, complemented
110#3036C2211yescharacteristic
111C2×#463—21no—
112#3007—21no—
113#2990C2211yescharacteristic
114#2984C2211yescharacteristic, complemented
115#2969C2211yescharacteristic, complemented
116#2949—21no—
117C4×#137C2211yescharacteristic
118D4×M16C2211yescharacteristic, complemented
119C2×#417—21no—
120#1719C2211yescharacteristic, complemented
121#1718C2211yescharacteristic, complemented
122#1718C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1715C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1708C2211yescharacteristic, complemented
127#1708C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1704C2211yescharacteristic, complemented
130#1704C2211yescharacteristic, complemented
131#1703C2211yescharacteristic, complemented
132#1702C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1698C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1693C2211yescharacteristic, complemented
139#1692C2211yescharacteristic, complemented
140#1692C2211yescharacteristic, complemented
141#1688C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1683C2211yescharacteristic, complemented
147#1683C2211yescharacteristic, complemented
148#1682C2211yescharacteristic, complemented
149#1681C2211yescharacteristic
150#1680C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1678C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1673C2211yescharacteristic, complemented
155#1671C2211yescharacteristic, complemented
156#1671C2211yescharacteristic, complemented
157#1668C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic
160#1654C2211yescharacteristic
161#1653C2211yescharacteristic, complemented
162#1652C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1649C2211yescharacteristic, complemented
165#1649C2211yescharacteristic, complemented
166#1648C2211yescharacteristic, complemented
167#1647C2211yescharacteristic
168#1643C2211yescharacteristic, complemented
169#1643C2211yescharacteristic, complemented
170#1643C2211yescharacteristic, complemented
171#1643C2211yescharacteristic, complemented
172#1642C2211yescharacteristic, complemented
173#1641C2211yescharacteristic, complemented
174#1639C2211yescharacteristic
175#1639C2211yescharacteristic
176#1638C2211yescharacteristic, complemented
177#1638C2211yescharacteristic, complemented
178#1637C2211yescharacteristic, complemented
179#1637C2211yescharacteristic, complemented
180#1630C2211yescharacteristic, complemented
181#1630C2211yescharacteristic, complemented
182#1629C2211yescharacteristic, complemented
183#1629C2211yescharacteristic, complemented
184#1628C2211yescharacteristic, complemented
185#1627C2211yescharacteristic, complemented
186#1626C2211yescharacteristic, complemented
187#1626C2211yescharacteristic, complemented
188#1622C2211yescharacteristic
189#1622C2211yescharacteristic
190#1622C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1593C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1591C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1587C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1585C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1584C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1582C2211yescharacteristic, complemented
203#1581C2211yescharacteristic
204#1580C2211yescharacteristic
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×SD16C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1561C2211yescharacteristic, complemented
211#1557C2211yescharacteristic, complemented
212#1553C2211yescharacteristic, complemented
213#1548C2211yescharacteristic, complemented
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic
216#1487C2211yescharacteristic, complemented
217#1478C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—21no—
221C2×#137D411yescharacteristic
222C2×AGL(1,ℤ/8)—21no—
223C22×SD16—21no—
224C22×SD16—21no—
225C22×D8—21no—
226C22×M16—21no—
227#559C2311yescharacteristic
228#557—21no—
229#557C2311yescharacteristic
230#557C2311yescharacteristic
231#556—21no—
232#556C2311yescharacteristic
233#556C2311yescharacteristic
234#555—21no—
235#554—21no—
236#554—21no—
237#554—21no—
238#554—21no—
239#554—41no—
240#554C2311yescharacteristic
241#554C2311yescharacteristic
242#554C2311yescharacteristic
243#554C2311yescharacteristic
244#552—21no—
245#552—41no—
246#551—41no—
247#550C2311yescharacteristic
248D4×Q8—21no—
249D4×Q8C2311yescharacteristic
250D4×Q8C2311yescharacteristic
251D4×Q8C2311yescharacteristic
252#548—21no—
253#548—21no—
254#547—21no—
255#547C2311yescharacteristic
256#546—21no—
257#546—21no—
258#546—21no—
259#546—41no—
260D42—21no—
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263#542—21no—
264#541—21no—
265#541—41no—
266#538—41no—
267#533—21no—
268#533C2311yescharacteristic
269#532—21no—
270#532C2311yescharacteristic
271#532C2311yescharacteristic
272C2×C4⋊Q8C2311yescharacteristic
273#529—21no—
274#529—21no—
275#529C2311yescharacteristic
276C2×#125—21no—
277C2×#124—21no—
278#525—21no—
279#525—41no—
280C2×C22⋊Q8—21no—
281C2×C22⋊Q8—41no—
282#519—21no—
283#518—21no—
284C4×#41C2311yescharacteristic
285C2×C4×Q8C2311yescharacteristic
286C2×C4×D4—21no—
287C2×C4×D4—21no—
288C2×C4×D4C2311yescharacteristic
289C22×C4⋊C4—21no—
290#501—21no—
291#501—21no—
292#501—21no—
293#501—21no—
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#499—21no—
297#499—21no—
298#498C2311yescharacteristic
299#498C2311yescharacteristic
300#498C2311yescharacteristic
301#497—21no—
302#496—21no—
303#496—21no—
304#493C2311yescharacteristic
305#492C2311yescharacteristic
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#491—21no—
310#491—21no—
311#489—21no—
312#489—21no—
313#489—21no—
314#489—21no—
315#489—21no—
316#488—21no—
317#488—21no—
318#488—21no—
319#487—21no—
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#487C2311yescharacteristic
326#487C2311yescharacteristic
327#487C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#485—21no—
335#485—21no—
336#485—21no—
337#485—21no—
338#484—21no—
339#484—21no—
340#484—21no—
341#484D411yescharacteristic
342#483—21no—
343#483—21no—
344#483—21no—
345#483—21no—
346#483—21no—
347#483—21no—
348#482—21no—
349#482—41no—
350#481—21no—
351#481—21no—
352#481—21no—
353#481D411yescharacteristic
354#480—21no—
355#480—21no—
356#480—21no—
357#480—21no—
358#479—21no—
359#479—21no—
360#479—21no—
361#479—21no—
362#479—21no—
363#479—21no—
364#478—21no—
365#478—21no—
366#478—21no—
367#478—21no—
368#478—21no—
369#478—21no—
370#478—21no—
371#478—41no—
372#478D411yescharacteristic
373#478D411yescharacteristic
374#477—21no—
375#477—21no—
376#477C2311yescharacteristic
377#477C2311yescharacteristic
378#477C2311yescharacteristic
379#477C2311yescharacteristic
380#476—21no—
381#476—21no—
382#476—21no—
383#476C2311yescharacteristic
384#476C2311yescharacteristic
385#476C2311yescharacteristic
386#476C2311yescharacteristic
387#475—21no—
388#475—21no—
389#475—21no—
390#475—21no—
391#475C2311yescharacteristic
392#475C2311yescharacteristic
393#475C2311yescharacteristic
394#475C2311yescharacteristic
395#474—21no—
396#474C2311yescharacteristic
397#474C2311yescharacteristic
398#474C2311yescharacteristic
399#474C2311yescharacteristic
400#470—21no—
401#470—21no—
402#470—21no—
403#469—21no—
404#468—21no—
405#468—21no—
406#468—21no—
407#468—21no—
408#468—21no—
409#468—21no—
410#467—21no—
411#467—21no—
412#467—21no—
413#466—21no—
414#466—21no—
415#465—21no—
416#465—21no—
417#465—21no—
418#465—21no—
419#465—21no—
420#464—21no—
421#464—21no—
422#464—21no—
423#464—21no—
424#463—21no—
425#463—21no—
426#463—21no—
427#463—21no—
428#463—21no—
429#463—21no—
430#463—21no—
431#463—21no—
432#463—21no—
433#463—21no—
434#463—21no—
435#463D411yescharacteristic
436#463D411yescharacteristic
437#462C2311yescharacteristic
438#462C2311yescharacteristic
439#462C2311yescharacteristic
440#461—21no—
441#461—21no—
442#461—21no—
443#461—21no—
444#461—41no—
445#461C2311yescharacteristic
446#461C2311yescharacteristic
447#461C2311yescharacteristic
448#461C2311yescharacteristic
449#461C2311yescharacteristic
450#460—21no—
451#460C2311yescharacteristic
452#460C2311yescharacteristic
453#460C2311yescharacteristic
454#460C2311yescharacteristic
455#460C2311yescharacteristic
456#459—21no—
457#459C2311yescharacteristic
458#459C2311yescharacteristic
459#459C2311yescharacteristic
460#452—21no—
461#452—21no—
462#452—21no—
463#452—21no—
464#452—21no—
465#451—21no—
466#451—21no—
467#451—21no—
468#450—21no—
469#450—21no—
470#450—21no—
471#450—21no—
472#450—21no—
473#450—21no—
474#450D411yescharacteristic
475#449—21no—
476#449—21no—
477#448—21no—
478#448—21no—
479#448—21no—
480#448—21no—
481#448—41no—
482#447—21no—
483#447—21no—
484#447—21no—
485#447D411yescharacteristic
486#446—21no—
487#446—21no—
488#446C2311yescharacteristic
489#446C2311yescharacteristic
490#446C2311yescharacteristic
491#446C2311yescharacteristic
492#446C2311yescharacteristic
493C8×Q8C2311yescharacteristic
494C8×Q8C2311yescharacteristic
495C8×Q8C2311yescharacteristic
496#442—21no—
497#442—21no—
498#442—21no—
499#442—21no—
500#441D411yescharacteristic
501#441D411yescharacteristic
502#440—21no—
503#440—21no—
504#440—21no—
505#440—21no—
506#440—21no—
507#440—21no—
508#440—21no—
509#440—21no—
510#440—21no—
511#440—21no—
512#440D411yescharacteristic
513#440D411yescharacteristic
514C4×Q16—21no—
515C4×Q16C2311yescharacteristic
516C4×Q16C2311yescharacteristic
517C4×SD16—21no—
518C4×SD16—21no—
519C4×SD16—21no—
520C4×SD16—21no—
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16—21no—
526C4×SD16C2311yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×SD16C2311yescharacteristic
529C4×SD16C2311yescharacteristic
530C4×D8C2311yescharacteristic
531C4×D8C2311yescharacteristic
532#436—21no—
533#436C2311yescharacteristic
534#436C2311yescharacteristic
535#436C2311yescharacteristic
536#435—21no—
537#435—21no—
538#435—21no—
539#435—21no—
540#435—21no—
541C8×D4C2311yescharacteristic
542C8×D4C2311yescharacteristic
543C8×D4C2311yescharacteristic
544C8×D4C2311yescharacteristic
545C8×D4C2311yescharacteristic
546#433—21no—
547#432—21no—
548#432—21no—
549#432C2311yescharacteristic
550#431—21no—
551#431C2311yescharacteristic
552#431C2311yescharacteristic
553#431C2311yescharacteristic
554#428—21no—
555#428D411yescharacteristic
556#427—21no—
557#423C2311yescharacteristic
558#423C2311yescharacteristic
559C2×C4⋊C8—21no—
560#419—21no—
561#419D411yescharacteristic
562#418—21no—
563#417—21no—
564#417—21no—
565#417—21no—
566#417—21no—
567#417—21no—
568#417—21no—
569#417—21no—
570#417—21no—
571#417—21no—
572#417D411yescharacteristic
573C2×#103—21no—
574C2×#103—21no—
575C2×#103—21no—
576C2×#102—21no—
577C2×#102—21no—
578C2×#102—21no—
579#407—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#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
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612Q8⋊C8C2311yescharacteristic
613Q8⋊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—41no—
631C2×#41—41no—
632C2×#41—44no—
633C2×#41—82no—
634C2×#41C2×D411yescharacteristic
635C22×Q8—21no—
636C22×Q8—21no—
637C22×Q8—21no—
638C22×Q8—21no—
639C22×Q8C2×D411yescharacteristic
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—41no—
645C22×D4C2×D411yescharacteristic
646C23×C4—21no—
647C23×C4—41no—
648C23×C4—41no—
649#137—42no—
650#137—82no—
651AGL(1,ℤ/8)—82no—
652C2×Q16—21no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16C2×D411yescharacteristic
656C2×Q16C2×D411yescharacteristic
657C2×SD16—21no—
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×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×SD16—44no—
674C2×SD16—82no—
675C2×SD16C2×D411yescharacteristic
676C2×SD16C2×D411yescharacteristic
677C2×SD16C2×D411yescharacteristic
678C2×SD16C2×D411yescharacteristic
679C2×D8—21no—
680C2×D8—21no—
681C2×D8—21no—
682C2×D8—21no—
683C2×D8—21no—
684C2×D8—82no—
685C2×D8C2×D411yescharacteristic
686C2×D8C2×D411yescharacteristic
687C2×M16—21no—
688C2×M16—21no—
689C2×M16—21no—
690C2×M16—21no—
691C2×M16—21no—
692C2×M16—82no—
693C2×M16C2×D411yescharacteristic
694C2×M16C2×D411yescharacteristic
695C22×C8—21no—
696C22×C8—21no—
697C22×C8—21no—
698C22×C8—21no—
699C22×C8—21no—
700C4⋊Q8—21no—
701C4⋊Q8—21no—
702C4⋊Q8—21no—
703C4⋊Q8—21no—
704C4⋊Q8—21no—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—41no—
709C4⋊Q8C2411yescharacteristic
710C4⋊Q8C2411yescharacteristic
711C4⋊Q8C2411yescharacteristic
712C4⋊Q8C2411yescharacteristic
713C4⋊Q8C2411yescharacteristic
714C4⋊Q8C2411yescharacteristic
715#127—21no—
716#127C2411yescharacteristic
717#127C2411yescharacteristic
718#126—21no—
719#126—41no—
720#126—41no—
721#126—41no—
722#126—41no—
723#126—41no—
724#126—41no—
725#125—21no—
726#125—21no—
727#125—21no—
728#125—21no—
729#125—21no—
730#125—21no—
731#125—21no—
732#125—41no—
733#125—41no—
734#125—41no—
735#125—41no—
736#125—41no—
737#125—41no—
738#125—41no—
739#125C2×D411yescharacteristic
740#124—21no—
741#124—21no—
742#124—21no—
743#124—21no—
744#124—21no—
745#124—21no—
746#124—41no—
747#124—41no—
748#124—41no—
749#124—41no—
750#124C2×D411yescharacteristic
751#123—21no—
752#123—41no—
753#123—41no—
754#123—41no—
755#123—41no—
756#123—41no—
757#123—41no—
758#123—41no—
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—21no—
770C22⋊Q8—21no—
771C22⋊Q8—41no—
772C22⋊Q8—41no—
773C22⋊Q8—41no—
774C22⋊Q8—41no—
775C22⋊Q8—41no—
776C22⋊Q8—41no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8C2×D411yescharacteristic
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#121C2×D411yescharacteristic
805#120—41no—
806#120—41no—
807#120—41no—
808#120—41no—
809#120—41no—
810C4×Q8—21no—
811C4×Q8—21no—
812C4×Q8—21no—
813C4×Q8—21no—
814C4×Q8—21no—
815C4×Q8—21no—
816C4×Q8—21no—
817C4×Q8—21no—
818C4×Q8—21no—
819C4×Q8—21no—
820C4×Q8—41no—
821C4×Q8—41no—
822C4×Q8C2×D411yescharacteristic
823C4×Q8C2×D411yescharacteristic
824C4×Q8C2×D411yescharacteristic
825C4×Q8C2411yescharacteristic
826C4×Q8C2411yescharacteristic
827C4×Q8C2411yescharacteristic
828C4×Q8C2411yescharacteristic
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—21no—
838C4×D4—21no—
839C4×D4—21no—
840C4×D4—21no—
841C4×D4—21no—
842C4×D4—21no—
843C4×D4—21no—
844C4×D4—21no—
845C4×D4—21no—
846C4×D4—21no—
847C4×D4—21no—
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×D4C2×D411yescharacteristic
857C4×D4C2×D411yescharacteristic
858C4×D4C2×D411yescharacteristic
859C4×D4C2411yescharacteristic
860C4×D4C2411yescharacteristic
861C4×D4C2411yescharacteristic
862C4×D4C2411yescharacteristic
863#117—21no—
864#117—21no—
865#117—21no—
866#117—21no—
867#117—21no—
868#117—41no—
869#117—41no—
870#117—41no—
871#117—41no—
872#117C2×D411yescharacteristic
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—41no—
882C2×C4⋊C4—41no—
883C2×C4⋊C4—41no—
884C2×C4⋊C4—41no—
885C2×C4⋊C4C2×D411yescharacteristic
886C2×C4⋊C4C2×D411yescharacteristic
887C2×C22⋊C4—21no—
888C2×C22⋊C4—41no—
889C2×C22⋊C4—41no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C42—21no—
894C2×C42—21no—
895C2×C42C2411yescharacteristic
896#107—21no—
897#107—21no—
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—41no—
907#107C2×D411yescharacteristic
908#107C2×D411yescharacteristic
909#107C2×D411yescharacteristic
910#107C2×D411yescharacteristic
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—41no—
924#106C2×D411yescharacteristic
925#106C2×D411yescharacteristic
926#106C2×D411yescharacteristic
927#106C2×D411yescharacteristic
928C4⋊C8—21no—
929C4⋊C8—21no—
930C4⋊C8—21no—
931C4⋊C8—21no—
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—41no—
978#103—41no—
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
982#103C2×D411yescharacteristic
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—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—41no—
1012#102—41no—
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⋊C8C2×D411yescharacteristic
1033C22⋊C8C2×D411yescharacteristic
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040#97C2×D411yescharacteristic
1041#97C2×D411yescharacteristic
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C24—21no—
1053C24—41no—
1054C24—41no—
1055#41—22no—
1056#41—41no—
1057#41—42no—
1058#41—42no—
1059#41—42no—
1060#41—42no—
1061#41—81no—
1062#41—81no—
1063#41—84no—
1064#41—81no—
1065#41—81no—
1066#41—84no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—41no—
1075C2×Q8—41no—
1076C2×Q8—41no—
1077C2×Q8—41no—
1078C2×Q8—41no—
1079C2×Q8—41no—
1080C2×Q8—42no—
1081C2×Q8—42no—
1082C2×Q8—81no—
1083C2×Q8—81no—
1084C2×Q8—81no—
1085C2×Q8—81no—
1086C2×Q8—161no—
1087C2×Q8C22×D411yescharacteristic
1088C2×Q8C22×D411yescharacteristic
1089C2×Q8C22×D411yescharacteristic
1090C2×Q8C22×D411yescharacteristic
1091C2×D4—22no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—84no—
1120C2×D4C22×D411yescharacteristic
1121C2×D4C22×D411yescharacteristic
1122C2×D4C22×D411yescharacteristic
1123C2×D4C22×D411yescharacteristic
1124C22×C4—21no—
1125C22×C4—21no—
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—41no—
1136C22×C4—41no—
1137C22×C4—42no—
1138C22×C4—42no—
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—41no—
1150C22×C4—84no—
1151C22×C4—162no—
1152C22×C4C22×D411yescharacteristic
1153C22×C4C22×D411yescharacteristic
1154C22×C4H(5,𝔽2)11yescharacteristic
1155Q16—41no—
1156Q16—41no—
1157Q16—81no—
1158Q16—81no—
1159Q16—81no—
1160SD16—22no—
1161SD16—22no—
1162SD16—22no—
1163SD16—41no—
1164SD16—42no—
1165SD16—42no—
1166SD16—42no—
1167SD16—42no—
1168SD16—42no—
1169SD16—42no—
1170SD16—81no—
1171SD16—81no—
1172SD16—81no—
1173SD16—81no—
1174SD16—81no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178SD16—161no—
1179SD16—161no—
1180D8—22no—
1181D8—41no—
1182D8—42no—
1183D8—81no—
1184D8—81no—
1185D8—81no—
1186D8—81no—
1187M16—41no—
1188M16—41no—
1189M16—42no—
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×C8C22×D411yescharacteristic
1210C2×C8C22×D411yescharacteristic
1211C2×C8C22×D411yescharacteristic
1212C2×C8C22×D411yescharacteristic
1213C2×C8C22×D411yescharacteristic
1214C2×C8C22×D411yescharacteristic
1215C2×C8C22×D411yescharacteristic
1216C2×C8C22×D411yescharacteristic
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—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⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4C22×D411yescharacteristic
1266C4⋊C4C22×D411yescharacteristic
1267C4⋊C4C22×D411yescharacteristic
1268C4⋊C4C22×D411yescharacteristic
1269C4⋊C4C22×D411yescharacteristic
1270C4⋊C4C22×D411yescharacteristic
1271C4⋊C4C22×D411yescharacteristic
1272C4⋊C4C22×D411yescharacteristic
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—21no—
1282C22⋊C4—21no—
1283C22⋊C4—21no—
1284C22⋊C4—21no—
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—
1307C22⋊C4—41no—
1308C42—21no—
1309C42—21no—
1310C42—21no—
1311C42—21no—
1312C42—21no—
1313C42—21no—
1314C42—21no—
1315C42—21no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C42—41no—
1321C42C22×D411yescharacteristic
1322C42C22×D411yescharacteristic
1323C42H(5,𝔽2)11yescharacteristic
1324C42C2511yescharacteristic
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—42no—
1330C23—42no—
1331C23—41no—
1332C23—41no—
1333C23—81no—
1334C23—82no—
1335C23—82no—
1336C23—82no—
1337C23—161no—
1338C23—161no—
1339C23—161no—
1340C23D4211yescharacteristic
1341Q8—21no—
1342Q8—21no—
1343Q8—21no—
1344Q8—21no—
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—81no—
1358Q8—81no—
1359Q8—81no—
1360Q8—82no—
1361Q8—82no—
1362Q8—161no—
1363Q8—161no—
1364D4—21no—
1365D4—21no—
1366D4—21no—
1367D4—21no—
1368D4—21no—
1369D4—21no—
1370D4—42no—
1371D4—42no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—81no—
1381D4—81no—
1382D4—81no—
1383D4—82no—
1384D4—82no—
1385D4—82no—
1386D4—82no—
1387D4—82no—
1388D4—82no—
1389D4—161no—
1390D4—161no—
1391D4—161no—
1392D4#57512yes—
1393D4#57712yes—
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—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—41no—
1411C2×C4—42no—
1412C2×C4—42no—
1413C2×C4—42no—
1414C2×C4—42no—
1415C2×C4—42no—
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—81no—
1431C2×C4—82no—
1432C2×C4—81no—
1433C2×C4—82no—
1434C2×C4—82no—
1435C2×C4—82no—
1436C2×C4—82no—
1437C2×C4—82no—
1438C2×C4—161no—
1439C2×C4—161no—
1440C2×C4—161no—
1441C2×C4—161no—
1442C2×C4—161no—
1443C2×C4—161no—
1444C2×C4—161no—
1445C2×C4D4211yescharacteristic
1446C2×C4D4211yescharacteristic
1447C2×C4D4211yescharacteristic
1448C2×C4C23×D411yescharacteristic
1449C2×C4C23×D411yescharacteristic
1450C2×C4C2×H(5,𝔽2)11yescharacteristic
1451C8—21no—
1452C8—21no—
1453C8—21no—
1454C8—21no—
1455C8—21no—
1456C8—21no—
1457C8—21no—
1458C8—21no—
1459C8—41no—
1460C8—41no—
1461C8—41no—
1462C8—41no—
1463C8—41no—
1464C8—41no—
1465C8—41no—
1466C8—41no—
1467C8—41no—
1468C8—41no—
1469C22—21no—
1470C22—22no—
1471C22—21no—
1472C22—22no—
1473C22—21no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—84no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22—81no—
1491C22—164no—
1492C22—322no—
1493C22C2×D4211yescharacteristic
1494C4—21no—
1495C4—21no—
1496C4—21no—
1497C4—21no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—81no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C4—81no—
1515C4—81no—
1516C4C2×#57511yescharacteristic
1517C4C2×#57711yescharacteristic
1518C4#358511yescharacteristic
1519C4#358611yescharacteristic
1520C2—41no—
1521C2—42no—
1522C2—42no—
1523C2—81no—
1524C2—81no—
1525C2—161no—
1526C2—161no—
1527C2#6106611yescharacteristic
1528C2#6107511yescharacteristic
1529C2#6110711yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
prime radical#61989C2
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
2. #61841C2semidirect
3. #61540C2semidirect
4. #61162C2semidirect
5. #20307C2semidirect
6. #20283C2semidirect
7. #20265C2semidirect
8. #20207C2semidirect
9. #20180C2semidirect
10. #20136C2semidirect
11. #20115C2semidirect
12. #20039C2semidirect
13. #20038C2semidirect
14. #19978C2semidirect
15. #19936C2semidirect
16. #19901C2semidirect
17. #19839C2semidirect
18. #19822C2semidirect
19. #19773C2semidirect
20. #19763C2semidirect
21. #19718C2semidirect
22. #19488C2semidirect
23. #19473C2semidirect
24. #19382C2semidirect
25. #19304C2semidirect
26. #18835C2semidirect
27. #18824C2semidirect
28. #18806C2semidirect
29. #18748C2semidirect
30. #18051C2semidirect
31. #18008C2semidirect
32. #3523C22semidirect
34. C2×#554C22semidirect
36. #3400C22semidirect
41. #3386C22semidirect
43. #3384C22semidirect
44. #3381C22semidirect
45. #3381C22semidirect
49. #3372C22semidirect
50. #3372C22semidirect
52. #3365C22semidirect
54. #3360C22semidirect
55. #3359C22semidirect
57. #3342C22semidirect
58. #3333C22semidirect
59. #3333C22semidirect
63. #3328C22semidirect
64. #3324C22semidirect
72. #3299C22semidirect
73. #3299C22semidirect
79. D4×SD16C22semidirect
86. #3238C22semidirect
89. #3229C22semidirect
90. #3228C22semidirect
93. #3206C22semidirect
94. #3182C22semidirect
96. #3141C22semidirect
101. #3110C22semidirect
104. #3103C22semidirect
109. #3037C22semidirect
114. #2984C22semidirect
115. #2969C22semidirect
118. D4×M16C22semidirect
120. #1719C22semidirect
121. #1718C22semidirect
122. #1718C22semidirect
123. #1717C22semidirect
124. #1715C22semidirect
125. #1714C22semidirect
126. #1708C22semidirect
127. #1708C22semidirect
128. #1704C22semidirect
129. #1704C22semidirect
130. #1704C22semidirect
131. #1703C22semidirect
132. #1702C22semidirect
133. #1701C22semidirect
134. #1700C22semidirect
135. #1699C22semidirect
136. #1698C22semidirect
137. #1697C22semidirect
138. #1693C22semidirect
139. #1692C22semidirect
140. #1692C22semidirect
141. #1688C22semidirect
142. #1686C22semidirect
143. #1685C22semidirect
144. #1684C22semidirect
145. #1683C22semidirect
146. #1683C22semidirect
147. #1683C22semidirect
148. #1682C22semidirect
150. #1680C22semidirect
151. #1679C22semidirect
152. #1678C22semidirect
153. #1677C22semidirect
154. #1673C22semidirect
155. #1671C22semidirect
156. #1671C22semidirect
157. #1668C22semidirect
158. #1666C22semidirect
161. #1653C22semidirect
162. #1652C22semidirect
163. #1651C22semidirect
164. #1649C22semidirect
165. #1649C22semidirect
166. #1648C22semidirect
168. #1643C22semidirect
169. #1643C22semidirect
170. #1643C22semidirect
171. #1643C22semidirect
172. #1642C22semidirect
173. #1641C22semidirect
176. #1638C22semidirect
177. #1638C22semidirect
178. #1637C22semidirect
179. #1637C22semidirect
180. #1630C22semidirect
181. #1630C22semidirect
182. #1629C22semidirect
183. #1629C22semidirect
184. #1628C22semidirect
185. #1627C22semidirect
186. #1626C22semidirect
187. #1626C22semidirect
190. #1622C22semidirect
191. #1622C22semidirect
192. #1593C22semidirect
193. #1592C22semidirect
194. #1591C22semidirect
195. #1589C22semidirect
196. #1587C22semidirect
197. #1586C22semidirect
198. #1585C22semidirect
199. #1585C22semidirect
200. #1584C22semidirect
201. #1583C22semidirect
202. #1582C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×SD16C22semidirect
208. #1574C22semidirect
209. #1569C22semidirect
210. #1561C22semidirect
211. #1557C22semidirect
212. #1553C22semidirect
213. #1548C22semidirect
214. #1495C22semidirect
216. #1487C22semidirect
217. #1478C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#619892
#618412
#615402
#611622
#203072
#202832
#202652
#202072
#201802
#201362
#201152
#200392
#200382
#199782
#199362
#199012
#198392
#198222
#197732
#197632
#197182
#194882
#194732
#193822
#193042
#188352
#188242
#188062
#187482
#180512
#180082