Finite Group Databasebeta

← #6369282

Subgroups — #6369282

Order 512.

1639 conjugacy classes of subgroups.

The subgroup lattice has 1547 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61979C211yesmaximal, characteristic
2#61839C211yesmaximal, characteristic, complemented
3#61453C211yesmaximal, characteristic, complemented
4#61206C211yesmaximal, characteristic, complemented
5#20299C211yesmaximal, characteristic, complemented
6#20273C211yesmaximal, characteristic, complemented
7#20265C211yesmaximal, characteristic, complemented
8#20210C211yesmaximal, characteristic, complemented
9#20177C211yesmaximal, characteristic, complemented
10#20142C211yesmaximal, characteristic, complemented
11#20114C211yesmaximal, characteristic, complemented
12#20054C211yesmaximal, characteristic, complemented
13#20040C211yesmaximal, characteristic, complemented
14#19976C211yesmaximal, characteristic, complemented
15#19934C211yesmaximal, characteristic, complemented
16#19913C211yesmaximal, characteristic, complemented
17#19840C211yesmaximal, characteristic, complemented
18#19790C211yesmaximal, characteristic, complemented
19#19773C211yesmaximal, characteristic, complemented
20#19763C211yesmaximal, characteristic, complemented
21#19715C211yesmaximal, characteristic, complemented
22#19487C211yesmaximal, characteristic, complemented
23#19470C211yesmaximal, characteristic, complemented
24#19369C211yesmaximal, characteristic, complemented
25#19316C211yesmaximal, characteristic, complemented
26#18841C211yesmaximal, characteristic, complemented
27#18815C211yesmaximal, characteristic, complemented
28#18788C211yesmaximal, characteristic, complemented
29#18755C211yesmaximal, characteristic, complemented
30#18051C211yesmaximal, characteristic, complemented
31#18007C211yesmaximal, characteristic, complemented
32#3507C2211yescharacteristic, complemented
33#3498C2211yescharacteristic
34#3481C2211yescharacteristic
35Q8×#41C2211yescharacteristic, complemented
36#3400C2211yescharacteristic, complemented
37#3399C2211yescharacteristic
38#3399C2211yescharacteristic
39#3390—21no—
40#3388—21no—
41#3385C2211yescharacteristic, complemented
42#3385C2211yescharacteristic, complemented
43#3384C2211yescharacteristic, complemented
44#3381C2211yescharacteristic, complemented
45#3380C2211yescharacteristic, complemented
46#3375C2211yescharacteristic, complemented
47#3372C2211yescharacteristic, complemented
48#3371—21no—
49#3370—21no—
50#3369C2211yescharacteristic, complemented
51#3367C2211yescharacteristic, complemented
52#3366C2211yescharacteristic
53#3366C2211yescharacteristic
54#3364C2211yescharacteristic, complemented
55#3360C2211yescharacteristic, complemented
56#3346—21no—
57#3338C2211yescharacteristic, complemented
58#3333C2211yescharacteristic, complemented
59#3333C2211yescharacteristic, complemented
60#3324C2211yescharacteristic
61#3324C2211yescharacteristic
62#3320—21no—
63#3318—21no—
64#3318—21no—
65#3317—21no—
66#3317—21no—
67#3314—21no—
68#3310—21no—
69#3310—21no—
70#3304C2211yescharacteristic, complemented
71#3304C2211yescharacteristic, complemented
72#3299C2211yescharacteristic, complemented
73#3295C2211yescharacteristic
74#3295C2211yescharacteristic
75#3295C2211yescharacteristic
76#3295C2211yescharacteristic
77#3295C2211yescharacteristic, complemented
78D4×SD16C2211yescharacteristic, complemented
79D4×D8C2211yescharacteristic
80D4×D8C2211yescharacteristic
81#3266—21no—
82#3264—21no—
83#3264—21no—
84#3253C2211yescharacteristic
85#3247—21no—
86#3240—21no—
87#3235C2211yescharacteristic, complemented
88#3233—21no—
89#3231C2211yescharacteristic, complemented
90#3217—21no—
91#3210C2211yescharacteristic, complemented
92#3208C2211yescharacteristic, complemented
93#3205C2211yescharacteristic
94#3182C2211yescharacteristic, complemented
95#3181—21no—
96#3138C2211yescharacteristic, complemented
97#3117—21no—
98#3116C2211yescharacteristic
99#3116C2211yescharacteristic, complemented
100#3112C2211yescharacteristic, complemented
101#3111—21no—
102#3110—21no—
103#3109—21no—
104#3106C2211yescharacteristic
105#3102—21no—
106#3096—21no—
107#3076C2211yescharacteristic
108#3057—21no—
109#3038C2211yescharacteristic
110C2×#460C2211yescharacteristic, complemented
111C2×#459—21no—
112#3009—21no—
113#2990C2211yescharacteristic
114#2984C2211yescharacteristic, complemented
115#2970C2211yescharacteristic, complemented
116C4×#137C2211yescharacteristic
117C2×#440—21no—
118#2935C2211yescharacteristic, complemented
119#2897—21no—
120#1722C2211yescharacteristic, complemented
121#1720C2211yescharacteristic, complemented
122#1719C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1717C2211yescharacteristic, complemented
125#1715C2211yescharacteristic, complemented
126#1711C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1700C2211yescharacteristic, complemented
133#1698C2211yescharacteristic, complemented
134#1698C2211yescharacteristic, complemented
135#1698C2211yescharacteristic, complemented
136#1698C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1696C2211yescharacteristic, complemented
139#1695C2211yescharacteristic, complemented
140#1692C2211yescharacteristic, complemented
141#1688C2211yescharacteristic, complemented
142#1688C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1679C2211yescharacteristic, complemented
149#1678C2211yescharacteristic, complemented
150#1678C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1677C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1675C2211yescharacteristic, complemented
155#1675C2211yescharacteristic, complemented
156#1671C2211yescharacteristic, complemented
157#1668C2211yescharacteristic, complemented
158#1668C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1644C2211yescharacteristic, complemented
161#1643C2211yescharacteristic, complemented
162#1641C2211yescharacteristic, complemented
163#1641C2211yescharacteristic, complemented
164#1640C2211yescharacteristic, complemented
165#1639C2211yescharacteristic
166#1639C2211yescharacteristic
167#1639C2211yescharacteristic, complemented
168#1638C2211yescharacteristic, complemented
169#1638C2211yescharacteristic, complemented
170#1632C2211yescharacteristic, complemented
171#1632C2211yescharacteristic, complemented
172#1632C2211yescharacteristic, complemented
173#1632C2211yescharacteristic, complemented
174#1631C2211yescharacteristic, complemented
175#1631C2211yescharacteristic, complemented
176#1630C2211yescharacteristic, complemented
177#1629C2211yescharacteristic
178#1629C2211yescharacteristic
179#1629C2211yescharacteristic, complemented
180#1628C2211yescharacteristic, complemented
181#1628C2211yescharacteristic, complemented
182#1627C2211yescharacteristic, complemented
183#1627C2211yescharacteristic, complemented
184#1626C2211yescharacteristic, complemented
185#1626C2211yescharacteristic, complemented
186#1623C2211yescharacteristic, complemented
187#1623C2211yescharacteristic, complemented
188#1622C2211yescharacteristic, complemented
189#1622C2211yescharacteristic, complemented
190#1622C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1593C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1591C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1587C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1585C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1584C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1582C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1559C2211yescharacteristic, complemented
211#1555C2211yescharacteristic, complemented
212#1551C2211yescharacteristic, complemented
213#1550C2211yescharacteristic, complemented
214#1496C2211yescharacteristic, complemented
215#1488C2211yescharacteristic
216#1487C2211yescharacteristic, complemented
217#1477C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C2×#137D411yescharacteristic
221C2×AGL(1,ℤ/8)—21no—
222C22×SD16—21no—
223C22×SD16—21no—
224C22×D8—21no—
225C22×D8—21no—
226C2×#131—21no—
227#559—21no—
228#559C2311yescharacteristic
229Q82C2311yescharacteristic
230#557—21no—
231#557—21no—
232#557C2311yescharacteristic
233#556—41no—
234#556C2311yescharacteristic
235#556C2311yescharacteristic
236#554—21no—
237#554—21no—
238#554—41no—
239#554C2311yescharacteristic
240#554C2311yescharacteristic
241#554C2311yescharacteristic
242#554C2311yescharacteristic
243#554C2311yescharacteristic
244#553—21no—
245#553—21no—
246#552—21no—
247#552—21no—
248#551—41no—
249#550—21no—
250#550C2311yescharacteristic
251#550C2311yescharacteristic
252D4×Q8—21no—
253D4×Q8C2311yescharacteristic
254#546—21no—
255#546—21no—
256D42—21no—
257D42—21no—
258D42—21no—
259D42—41no—
260D42C2311yescharacteristic
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263#539—41no—
264#536—21no—
265#535—21no—
266#535—41no—
267#533—21no—
268#533—21no—
269#533—41no—
270#533C2311yescharacteristic
271#533C2311yescharacteristic
272#532—21no—
273#532C2311yescharacteristic
274#532C2311yescharacteristic
275C2×#127—21no—
276C2×#127C2311yescharacteristic
277#529—21no—
278#529—21no—
279#529—21no—
280#529—21no—
281#525—41no—
282#520—21no—
283C4×#41—21no—
284C4×#41C2311yescharacteristic
285C4×#41C2311yescharacteristic
286C2×C4×Q8—21no—
287C2×C4×Q8C2311yescharacteristic
288C2×C4×D4—21no—
289C2×C4×D4—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#497—21no—
300#496—21no—
301#496—21no—
302#494C2311yescharacteristic
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#492C2311yescharacteristic
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#491—21no—
310#490—21no—
311#490—21no—
312#490—21no—
313#490—21no—
314#490—21no—
315#489—21no—
316#489—21no—
317#489—21no—
318#488—21no—
319#488—21no—
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic
327#486C2311yescharacteristic
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#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482D411yescharacteristic
348#482D411yescharacteristic
349#481—21no—
350#481—21no—
351#481—21no—
352#481—21no—
353#481—21no—
354#480—21no—
355#480—21no—
356#480—21no—
357#479—21no—
358#479—21no—
359#479—21no—
360#479—21no—
361#479—21no—
362#479—21no—
363#479—21no—
364#479—21no—
365#479—21no—
366#478—21no—
367#478—21no—
368#478—21no—
369#478—21no—
370#478—21no—
371#478—21no—
372#478—21no—
373#477—21no—
374#477D411yescharacteristic
375#477C2311yescharacteristic
376#477C2311yescharacteristic
377#477C2311yescharacteristic
378#477C2311yescharacteristic
379#477C2311yescharacteristic
380#476—21no—
381#476—21no—
382#476D411yescharacteristic
383#476C2311yescharacteristic
384#476C2311yescharacteristic
385#476C2311yescharacteristic
386#476C2311yescharacteristic
387#476C2311yescharacteristic
388#476C2311yescharacteristic
389#476C2311yescharacteristic
390#475—21no—
391#475C2311yescharacteristic
392#474—21no—
393#474—21no—
394#474—21no—
395#474C2311yescharacteristic
396#474C2311yescharacteristic
397#474C2311yescharacteristic
398#469—21no—
399#469—21no—
400#468—21no—
401#468—21no—
402#468—21no—
403#468—21no—
404#468—21no—
405#468—21no—
406#467—21no—
407#467—21no—
408#466—21no—
409#466—21no—
410#465—21no—
411#465—21no—
412#465—21no—
413#465—21no—
414#465—21no—
415#465—21no—
416#465—21no—
417#465—21no—
418#464—21no—
419#464—21no—
420#464—21no—
421#464—21no—
422#464—41no—
423#463—21no—
424#463—21no—
425#463—21no—
426#463—21no—
427#462C2311yescharacteristic
428#462C2311yescharacteristic
429#461—21no—
430#461—21no—
431#461C2311yescharacteristic
432#461C2311yescharacteristic
433#460—21no—
434#460—21no—
435#460—21no—
436#460—41no—
437#460D411yescharacteristic
438#460C2311yescharacteristic
439#460C2311yescharacteristic
440#460C2311yescharacteristic
441#460C2311yescharacteristic
442#460C2311yescharacteristic
443#460C2311yescharacteristic
444#460C2311yescharacteristic
445#460C2311yescharacteristic
446#459—21no—
447#459—21no—
448#459—21no—
449#459—21no—
450#459—21no—
451#459—21no—
452#459—21no—
453#459—21no—
454#459D411yescharacteristic
455#459C2311yescharacteristic
456#459C2311yescharacteristic
457#459C2311yescharacteristic
458#459C2311yescharacteristic
459#452—21no—
460#452—21no—
461#452—21no—
462#452—21no—
463#452—21no—
464#452—21no—
465#452—41no—
466#451—21no—
467#450—21no—
468#450—21no—
469#450—21no—
470#450—21no—
471#450—21no—
472#450—21no—
473#450—21no—
474#450—21no—
475#450—41no—
476#449D411yescharacteristic
477#449D411yescharacteristic
478#448—21no—
479#448—21no—
480#447—21no—
481#447—21no—
482#447—21no—
483#447—21no—
484#447—21no—
485#447—21no—
486#446—21no—
487#446—21no—
488#446C2311yescharacteristic
489#446C2311yescharacteristic
490#446C2311yescharacteristic
491#446C2311yescharacteristic
492#446C2311yescharacteristic
493#446C2311yescharacteristic
494C8×Q8C2311yescharacteristic
495C8×Q8C2311yescharacteristic
496#442—21no—
497#442—21no—
498#442—21no—
499#442—21no—
500#442—21no—
501#441—21no—
502#441—21no—
503#441—21no—
504#441D411yescharacteristic
505#441D411yescharacteristic
506#440—21no—
507#440—21no—
508#440—21no—
509#440—21no—
510#440—21no—
511#440—21no—
512#440—21no—
513#440—21no—
514#440—21no—
515#440—21no—
516#440—21no—
517#440—21no—
518#440D411yescharacteristic
519#440D411yescharacteristic
520C4×Q16—21no—
521C4×Q16C2311yescharacteristic
522C4×Q16C2311yescharacteristic
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16C2311yescharacteristic
526C4×SD16C2311yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×SD16C2311yescharacteristic
529C4×D8—21no—
530C4×D8C2311yescharacteristic
531C4×D8C2311yescharacteristic
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#435—21no—
535#435—21no—
536#435—21no—
537#435—21no—
538#435—21no—
539#435—21no—
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic
542C8×D4C2311yescharacteristic
543C8×D4C2311yescharacteristic
544C8×D4C2311yescharacteristic
545C8×D4C2311yescharacteristic
546#432—21no—
547#432—21no—
548#432—21no—
549#432C2311yescharacteristic
550#432C2311yescharacteristic
551#431—21no—
552#431C2311yescharacteristic
553#431C2311yescharacteristic
554#428D411yescharacteristic
555#427—21no—
556C2×#107—21no—
557#423C2311yescharacteristic
558C2×C4⋊C8—21no—
559C2×C4⋊C8C2311yescharacteristic
560#419D411yescharacteristic
561#418—21no—
562#418—21no—
563#418—21no—
564#418—21no—
565#418—21no—
566#417—21no—
567#417—21no—
568#417D411yescharacteristic
569#416—21no—
570#416—21no—
571#416—21no—
572C2×#103—21no—
573C2×#102—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577C2×#102—21no—
578C2×#102—21no—
579#408—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#331C2311yescharacteristic
601#331C2311yescharacteristic
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
626H(5,𝔽2)—44no—
627H(5,𝔽2)—82no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—41no—
633C2×#41C2×D411yescharacteristic
634C2×#41C2×D411yescharacteristic
635C22×Q8—21no—
636C22×Q8C2×D411yescharacteristic
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4—41no—
649C22×D4—41no—
650C23×C4—41no—
651#137—42no—
652AGL(1,ℤ/8)—82no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16—41no—
656C2×Q16C2×D411yescharacteristic
657C2×Q16C2×D411yescharacteristic
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—41no—
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—21no—
685C2×D8—21no—
686C2×D8—21no—
687C2×D8—82no—
688C2×D8—82no—
689C2×D8C2×D411yescharacteristic
690C2×D8C2×D411yescharacteristic
691#131—82no—
692C2×M16—21no—
693C2×M16—21no—
694C2×M16—21no—
695C2×M16C2×D411yescharacteristic
696C2×M16C2×D411yescharacteristic
697C22×C8—21no—
698C22×C8—21no—
699C22×C8—21no—
700C22×C8—21no—
701C22×C8—21no—
702C22×C8—21no—
703C22×C8—21no—
704C4⋊Q8—21no—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—41no—
709C4⋊Q8—41no—
710C4⋊Q8—41no—
711C4⋊Q8C2×D411yescharacteristic
712C4⋊Q8C2411yescharacteristic
713C4⋊Q8C2411yescharacteristic
714C4⋊Q8C2411yescharacteristic
715C4⋊Q8C2411yescharacteristic
716C4⋊Q8C2411yescharacteristic
717#127—21no—
718#127—21no—
719#127—21no—
720#127—21no—
721#127—21no—
722#127—41no—
723#127—41no—
724#127C2×D411yescharacteristic
725#127C2411yescharacteristic
726#127C2411yescharacteristic
727#127C2411yescharacteristic
728#126—41no—
729#126—41no—
730#126—41no—
731#126—41no—
732#126—41no—
733#126—41no—
734#125—21no—
735#125—21no—
736#125—21no—
737#125—21no—
738#125—21no—
739#125—21no—
740#125—21no—
741#125—21no—
742#125—41no—
743#125—41no—
744#125—41no—
745#125—41no—
746#125—41no—
747#124—21no—
748#124—21no—
749#124—21no—
750#124—21no—
751#124—21no—
752#124—21no—
753#124—41no—
754#124—41no—
755#123—41no—
756#123—41no—
757#123—41no—
758#123—41no—
759#123—41no—
760#123—41no—
761#123—41no—
762#123—41no—
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—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—
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—41no—
798#121—41no—
799#121—41no—
800#121—41no—
801#121—41no—
802#121—41no—
803#121—41no—
804#121C2×D411yescharacteristic
805#121C2×D411yescharacteristic
806#120—41no—
807#120—41no—
808#120—41no—
809#120—41no—
810#120—41no—
811#120—41no—
812#120—41no—
813#120—41no—
814C4×Q8—21no—
815C4×Q8—21no—
816C4×Q8—21no—
817C4×Q8—21no—
818C4×Q8—21no—
819C4×Q8—21no—
820C4×Q8—21no—
821C4×Q8—21no—
822C4×Q8—21no—
823C4×Q8—21no—
824C4×Q8—21no—
825C4×Q8—21no—
826C4×Q8—41no—
827C4×Q8—41no—
828C4×Q8—41no—
829C4×Q8—41no—
830C4×Q8C2×D411yescharacteristic
831C4×Q8C2×D411yescharacteristic
832C4×Q8C2×D411yescharacteristic
833C4×Q8C2×D411yescharacteristic
834C4×Q8C2411yescharacteristic
835C4×Q8C2411yescharacteristic
836C4×Q8C2411yescharacteristic
837C4×Q8C2411yescharacteristic
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—21no—
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4—41no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4—41no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4C2×D411yescharacteristic
866C4×D4C2×D411yescharacteristic
867C4×D4C2411yescharacteristic
868C4×D4C2411yescharacteristic
869C4×D4C2411yescharacteristic
870C4×D4C2411yescharacteristic
871#117—21no—
872#117—21no—
873#117—21no—
874#117—21no—
875#117—21no—
876#117—21no—
877#117—41no—
878#117—41no—
879#117—41no—
880#117—41no—
881#117C2×D411yescharacteristic
882#117C2×D411yescharacteristic
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—41no—
890C2×C4⋊C4C2×D411yescharacteristic
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C42—21no—
894C2×C42—21no—
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#107C2×D411yescharacteristic
911#107C2×D411yescharacteristic
912#107C2×D411yescharacteristic
913#107C2×D411yescharacteristic
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#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—41no—
966#103C2×D411yescharacteristic
967#103C2×D411yescharacteristic
968#103C2×D411yescharacteristic
969#103C2×D411yescharacteristic
970#103C2×D411yescharacteristic
971#103C2×D411yescharacteristic
972#103C2×D411yescharacteristic
973#103C2×D411yescharacteristic
974#102—21no—
975#102—21no—
976#102—21no—
977#102—21no—
978#102—21no—
979#102—21no—
980#102—21no—
981#102—21no—
982#102—21no—
983#102—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—41no—
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#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—41no—
1053C24—41no—
1054C24—41no—
1055C24—41no—
1056#41—22no—
1057#41—22no—
1058#41—41no—
1059#41—41no—
1060#41—42no—
1061#41—42no—
1062#41—42no—
1063#41—42no—
1064#41—81no—
1065#41—81no—
1066#41—84no—
1067#41—161no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—41no—
1076C2×Q8—41no—
1077C2×Q8—41no—
1078C2×Q8—41no—
1079C2×Q8—42no—
1080C2×Q8—81no—
1081C2×Q8C22×D411yescharacteristic
1082C2×Q8C22×D411yescharacteristic
1083C2×Q8C22×D411yescharacteristic
1084C2×Q8C22×D411yescharacteristic
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—84no—
1131C2×D4—84no—
1132C2×D4—84no—
1133C2×D4—161no—
1134C2×D4—162no—
1135C2×D4C22×D411yescharacteristic
1136C2×D4C22×D411yescharacteristic
1137C2×D4C22×D411yescharacteristic
1138C2×D4C22×D411yescharacteristic
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
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—41no—
1158C22×C4—41no—
1159C22×C4—162no—
1160C22×C4C22×D411yescharacteristic
1161C22×C4C22×D411yescharacteristic
1162C22×C4H(5,𝔽2)11yescharacteristic
1163Q16—41no—
1164Q16—41no—
1165Q16—42no—
1166Q16—81no—
1167Q16—161no—
1168SD16—22no—
1169SD16—22no—
1170SD16—41no—
1171SD16—41no—
1172SD16—42no—
1173SD16—42no—
1174SD16—42no—
1175SD16—42no—
1176SD16—81no—
1177SD16—81no—
1178SD16—81no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182SD16—81no—
1183SD16—81no—
1184SD16—161no—
1185SD16—161no—
1186SD16—161no—
1187D8—22no—
1188D8—22no—
1189D8—42no—
1190D8—42no—
1191D8—81no—
1192D8—81no—
1193D8—81no—
1194D8—81no—
1195D8—81no—
1196D8—81no—
1197M16—41no—
1198M16—41no—
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—42no—
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—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⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4C22×D411yescharacteristic
1270C4⋊C4C22×D411yescharacteristic
1271C4⋊C4C22×D411yescharacteristic
1272C4⋊C4C22×D411yescharacteristic
1273C4⋊C4C22×D411yescharacteristic
1274C4⋊C4C22×D411yescharacteristic
1275C4⋊C4C22×D411yescharacteristic
1276C4⋊C4C22×D411yescharacteristic
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—21no—
1286C22⋊C4—21no—
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—
1308C22⋊C4—41no—
1309C42—21no—
1310C42—21no—
1311C42—21no—
1312C42—21no—
1313C42—21no—
1314C42—21no—
1315C42—21no—
1316C42—21no—
1317C42—21no—
1318C42—21no—
1319C42—41no—
1320C42—41no—
1321C42—41no—
1322C42—41no—
1323C42—41no—
1324C42—41no—
1325C42C22×D411yescharacteristic
1326C42C22×D411yescharacteristic
1327C42H(5,𝔽2)11yescharacteristic
1328C42C2511yescharacteristic
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—82no—
1337C23—82no—
1338C23—82no—
1339C23—82no—
1340C23—82no—
1341C23—161no—
1342C23—161no—
1343C23—161no—
1344C23—161no—
1345C23—161no—
1346C23—161no—
1347C23—161no—
1348C23D4211yescharacteristic
1349Q8—21no—
1350Q8—21no—
1351Q8—21no—
1352Q8—21no—
1353Q8—21no—
1354Q8—21no—
1355Q8—21no—
1356Q8—21no—
1357Q8—42no—
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361Q8—41no—
1362Q8—81no—
1363Q8—81no—
1364Q8—81no—
1365Q8—81no—
1366Q8—82no—
1367Q8—161no—
1368D4—21no—
1369D4—21no—
1370D4—21no—
1371D4—21no—
1372D4—21no—
1373D4—21no—
1374D4—42no—
1375D4—42no—
1376D4—42no—
1377D4—42no—
1378D4—42no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—81no—
1392D4—81no—
1393D4—81no—
1394D4—81no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—82no—
1403D4—161no—
1404D4—161no—
1405D4—161no—
1406D4—161no—
1407D4—161no—
1408D4—161no—
1409D4#57512yes—
1410D4#57712yes—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—41no—
1428C2×C4—42no—
1429C2×C4—42no—
1430C2×C4—42no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—81no—
1445C2×C4—82no—
1446C2×C4—81no—
1447C2×C4—81no—
1448C2×C4—82no—
1449C2×C4—82no—
1450C2×C4—82no—
1451C2×C4—161no—
1452C2×C4—161no—
1453C2×C4—161no—
1454C2×C4—161no—
1455C2×C4—161no—
1456C2×C4—161no—
1457C2×C4D4211yescharacteristic
1458C2×C4D4211yescharacteristic
1459C2×C4D4211yescharacteristic
1460C2×C4C23×D411yescharacteristic
1461C2×C4C23×D411yescharacteristic
1462C2×C4C2×H(5,𝔽2)11yescharacteristic
1463C8—21no—
1464C8—21no—
1465C8—21no—
1466C8—21no—
1467C8—21no—
1468C8—21no—
1469C8—21no—
1470C8—21no—
1471C8—41no—
1472C8—41no—
1473C8—41no—
1474C8—41no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C22—21no—
1482C22—22no—
1483C22—21no—
1484C22—22no—
1485C22—21no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—164no—
1506C22—322no—
1507C22—322no—
1508C22—322no—
1509C22C2×D4211yescharacteristic
1510C4—21no—
1511C4—21no—
1512C4—21no—
1513C4—21no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—81no—
1527C4—81no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4C2×#57511yescharacteristic
1532C4C2×#57711yescharacteristic
1533C4#358511yescharacteristic
1534C4#358611yescharacteristic
1535C2—41no—
1536C2—42no—
1537C2—42no—
1538C2—81no—
1539C2—81no—
1540C2—161no—
1541C2—161no—
1542C2—161no—
1543C2#6106611yescharacteristic
1544C2#6107511yescharacteristic
1545C2#6110611yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
prime radical#61979C2
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. #61839C2semidirect
3. #61453C2semidirect
4. #61206C2semidirect
5. #20299C2semidirect
6. #20273C2semidirect
7. #20265C2semidirect
8. #20210C2semidirect
9. #20177C2semidirect
10. #20142C2semidirect
11. #20114C2semidirect
12. #20054C2semidirect
13. #20040C2semidirect
14. #19976C2semidirect
15. #19934C2semidirect
16. #19913C2semidirect
17. #19840C2semidirect
18. #19790C2semidirect
19. #19773C2semidirect
20. #19763C2semidirect
21. #19715C2semidirect
22. #19487C2semidirect
23. #19470C2semidirect
24. #19369C2semidirect
25. #19316C2semidirect
26. #18841C2semidirect
27. #18815C2semidirect
28. #18788C2semidirect
29. #18755C2semidirect
30. #18051C2semidirect
31. #18007C2semidirect
32. #3507C22semidirect
35. Q8×#41C22semidirect
36. #3400C22semidirect
41. #3385C22semidirect
42. #3385C22semidirect
43. #3384C22semidirect
44. #3381C22semidirect
45. #3380C22semidirect
46. #3375C22semidirect
47. #3372C22semidirect
50. #3369C22semidirect
51. #3367C22semidirect
54. #3364C22semidirect
55. #3360C22semidirect
57. #3338C22semidirect
58. #3333C22semidirect
59. #3333C22semidirect
70. #3304C22semidirect
71. #3304C22semidirect
72. #3299C22semidirect
77. #3295C22semidirect
78. D4×SD16C22semidirect
87. #3235C22semidirect
89. #3231C22semidirect
91. #3210C22semidirect
92. #3208C22semidirect
94. #3182C22semidirect
96. #3138C22semidirect
99. #3116C22semidirect
100. #3112C22semidirect
110. C2×#460C22semidirect
114. #2984C22semidirect
115. #2970C22semidirect
118. #2935C22semidirect
120. #1722C22semidirect
121. #1720C22semidirect
122. #1719C22semidirect
123. #1717C22semidirect
124. #1717C22semidirect
125. #1715C22semidirect
126. #1711C22semidirect
127. #1706C22semidirect
128. #1704C22semidirect
129. #1703C22semidirect
130. #1702C22semidirect
131. #1702C22semidirect
132. #1700C22semidirect
133. #1698C22semidirect
134. #1698C22semidirect
135. #1698C22semidirect
136. #1698C22semidirect
137. #1697C22semidirect
138. #1696C22semidirect
139. #1695C22semidirect
140. #1692C22semidirect
141. #1688C22semidirect
142. #1688C22semidirect
143. #1685C22semidirect
144. #1683C22semidirect
145. #1683C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1679C22semidirect
149. #1678C22semidirect
150. #1678C22semidirect
151. #1677C22semidirect
152. #1677C22semidirect
153. #1677C22semidirect
154. #1675C22semidirect
155. #1675C22semidirect
156. #1671C22semidirect
157. #1668C22semidirect
158. #1668C22semidirect
159. #1665C22semidirect
160. #1644C22semidirect
161. #1643C22semidirect
162. #1641C22semidirect
163. #1641C22semidirect
164. #1640C22semidirect
167. #1639C22semidirect
168. #1638C22semidirect
169. #1638C22semidirect
170. #1632C22semidirect
171. #1632C22semidirect
172. #1632C22semidirect
173. #1632C22semidirect
174. #1631C22semidirect
175. #1631C22semidirect
176. #1630C22semidirect
179. #1629C22semidirect
180. #1628C22semidirect
181. #1628C22semidirect
182. #1627C22semidirect
183. #1627C22semidirect
184. #1626C22semidirect
185. #1626C22semidirect
186. #1623C22semidirect
187. #1623C22semidirect
188. #1622C22semidirect
189. #1622C22semidirect
190. #1622C22semidirect
191. #1622C22semidirect
192. #1593C22semidirect
193. #1592C22semidirect
194. #1591C22semidirect
195. #1590C22semidirect
196. #1587C22semidirect
197. #1586C22semidirect
198. #1585C22semidirect
199. #1585C22semidirect
200. #1584C22semidirect
201. #1582C22semidirect
202. #1582C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1569C22semidirect
210. #1559C22semidirect
211. #1555C22semidirect
212. #1551C22semidirect
213. #1550C22semidirect
214. #1496C22semidirect
216. #1487C22semidirect
217. #1477C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#619792
#618392
#614532
#612062
#202992
#202732
#202652
#202102
#201772
#201422
#201142
#200542
#200402
#199762
#199342
#199132
#198402
#197902
#197732
#197632
#197152
#194872
#194702
#193692
#193162
#188412
#188152
#187882
#187552
#180512
#180072