Finite Group Databasebeta

← #6364044

Subgroups — #6364044

Order 512.

1592 conjugacy classes of subgroups.

The subgroup lattice has 1553 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62039C211yesmaximal, characteristic, complemented
2#61949C211yesmaximal, characteristic, complemented
3#61920C211yesmaximal, characteristic, complemented
4#61725C211yesmaximal, characteristic, complemented
5#20266C211yesmaximal, characteristic, complemented
6#20256C211yesmaximal, characteristic, complemented
7#20230C211yesmaximal, characteristic, complemented
8#20228C211yesmaximal, characteristic, complemented
9#20154C211yesmaximal, characteristic, complemented
10#20149C211yesmaximal, characteristic, complemented
11#20064C211yesmaximal, characteristic, complemented
12#20034C211yesmaximal, characteristic, complemented
13#19949C211yesmaximal, characteristic, complemented
14#19949C211yesmaximal, characteristic, complemented
15#19922C211yesmaximal, characteristic, complemented
16#19912C211yesmaximal, characteristic, complemented
17#19882C211yesmaximal, characteristic, complemented
18#19875C211yesmaximal, characteristic, complemented
19#19833C211yesmaximal, characteristic, complemented
20#19819C211yesmaximal, characteristic, complemented
21#19719C211yesmaximal, characteristic, complemented
22#19537C211yesmaximal, characteristic, complemented
23#19532C211yesmaximal, characteristic, complemented
24#19422C211yesmaximal, characteristic, complemented
25#19412C211yesmaximal, characteristic, complemented
26#18743C211yesmaximal, characteristic, complemented
27#18568C211yesmaximal, characteristic, complemented
28#18562C211yesmaximal, characteristic, complemented
29#18560C211yesmaximal, characteristic, complemented
30#17952C211yesmaximal, characteristic, complemented
31#17927C211yesmaximal, characteristic, complemented
32#3554C2211yescharacteristic
33#3519C2211yescharacteristic
34#3508C2211yescharacteristic, complemented
35#3475C2211yescharacteristic
36#3403—21no—
37#3399—21no—
38#3399C2211yescharacteristic, complemented
39#3399C2211yescharacteristic, complemented
40#3399C2211yescharacteristic, complemented
41#3396C2211yescharacteristic, complemented
42#3394C2211yescharacteristic
43#3394C2211yescharacteristic
44#3392C2211yescharacteristic, complemented
45#3391C2211yescharacteristic, complemented
46#3373C2211yescharacteristic, complemented
47#3372C2211yescharacteristic, complemented
48#3370—21no—
49#3368C2211yescharacteristic, complemented
50#3366—21no—
51#3365C2211yescharacteristic, complemented
52#3361C2211yescharacteristic, complemented
53#3361C2211yescharacteristic, complemented
54#3361C2211yescharacteristic, complemented
55#3358C2211yescharacteristic, complemented
56#3357C2211yescharacteristic, complemented
57#3357C2211yescharacteristic, complemented
58#3356C2211yescharacteristic, complemented
59#3355—21no—
60#3354C2211yescharacteristic, complemented
61#3351—21no—
62#3333C2211yescharacteristic, complemented
63#3332C2211yescharacteristic, complemented
64#3329C2211yescharacteristic, complemented
65#3326—21no—
66#3325C2211yescharacteristic, complemented
67#3324C2211yescharacteristic, complemented
68#3323—21no—
69#3322—21no—
70#3307—21no—
71#3305C2211yescharacteristic
72#3305C2211yescharacteristic
73#3305C2211yescharacteristic, complemented
74#3296—21no—
75#3296—21no—
76#3284C2211yescharacteristic, complemented
77#3284C2211yescharacteristic, complemented
78D4×SD16C2211yescharacteristic, complemented
79#3280—21no—
80#3280—21no—
81#3274C2211yescharacteristic, complemented
82#3272—21no—
83#3265—21no—
84#3257—21no—
85#3254C2211yescharacteristic
86#3249C2211yescharacteristic, complemented
87#3247—21no—
88#3233C2211yescharacteristic
89#3228C2211yescharacteristic
90#3224—21no—
91#3221—21no—
92#3220—21no—
93#3217C2211yescharacteristic
94#3212—21no—
95#3208C2211yescharacteristic, complemented
96#3207C2211yescharacteristic
97#3205C2211yescharacteristic, complemented
98#3197—21no—
99#3194—21no—
100#3182C2211yescharacteristic, complemented
101#3151C2211yescharacteristic
102#3122—21no—
103#3118—21no—
104#3118—21no—
105#3115C2211yescharacteristic, complemented
106#3106—21no—
107#3106C2211yescharacteristic
108#3102C2211yescharacteristic
109#3101C2211yescharacteristic
110#3094—21no—
111#3093—21no—
112#3042—21no—
113#3036C2211yescharacteristic
114#3035—21no—
115C2×#459C2211yescharacteristic
116#2993C2211yescharacteristic
117#2988C2211yescharacteristic, complemented
118#2985C2211yescharacteristic, complemented
119#2975C2211yescharacteristic
120#1721C2211yescharacteristic, complemented
121#1721C2211yescharacteristic, complemented
122#1719C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1715C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1706C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1701C2211yescharacteristic
131#1701C2211yescharacteristic
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1698C2211yescharacteristic, complemented
135#1697C2211yescharacteristic, complemented
136#1696C2211yescharacteristic, complemented
137#1696C2211yescharacteristic, complemented
138#1687C2211yescharacteristic
139#1687C2211yescharacteristic
140#1687C2211yescharacteristic, complemented
141#1687C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1678C2211yescharacteristic, complemented
147#1678C2211yescharacteristic, complemented
148#1678C2211yescharacteristic, complemented
149#1678C2211yescharacteristic, complemented
150#1677C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1672C2211yescharacteristic, complemented
153#1672C2211yescharacteristic, complemented
154#1668C2211yescharacteristic, complemented
155#1667C2211yescharacteristic, complemented
156#1666C2211yescharacteristic, complemented
157#1666C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1650C2211yescharacteristic, complemented
161#1649C2211yescharacteristic, complemented
162#1648C2211yescharacteristic, complemented
163#1647C2211yescharacteristic, complemented
164#1646C2211yescharacteristic, complemented
165#1643C2211yescharacteristic, complemented
166#1641C2211yescharacteristic, complemented
167#1640C2211yescharacteristic, complemented
168#1637C2211yescharacteristic, complemented
169#1636C2211yescharacteristic, complemented
170#1631C2211yescharacteristic, complemented
171#1631C2211yescharacteristic, complemented
172#1631C2211yescharacteristic, complemented
173#1630C2211yescharacteristic, complemented
174#1630C2211yescharacteristic, complemented
175#1630C2211yescharacteristic, complemented
176#1628C2211yescharacteristic, complemented
177#1625C2211yescharacteristic, complemented
178#1624C2211yescharacteristic
179#1624C2211yescharacteristic
180#1624C2211yescharacteristic, complemented
181#1622C2211yescharacteristic
182#1622C2211yescharacteristic
183#1622C2211yescharacteristic, complemented
184#1621C2211yescharacteristic
185#1621C2211yescharacteristic
186#1621C2211yescharacteristic, complemented
187#1621C2211yescharacteristic, complemented
188#1620C2211yescharacteristic, complemented
189#1620C2211yescharacteristic, complemented
190#1619C2211yescharacteristic
191#1619C2211yescharacteristic
192#1592C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1588C2211yescharacteristic, complemented
198#1587C2211yescharacteristic, complemented
199#1586C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1583C2211yescharacteristic, complemented
203#1582C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1579C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×SD16C2211yescharacteristic, complemented
208#1572C2211yescharacteristic, complemented
209#1570C2211yescharacteristic, complemented
210#1559C2211yescharacteristic, complemented
211#1551C2211yescharacteristic
212#1545C2211yescharacteristic, complemented
213#1540C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1489C2211yescharacteristic, complemented
216#1485C2211yescharacteristic, complemented
217#1483C2211yescharacteristic
218#1453C2211yescharacteristic, complemented
219C2×AGL(1,ℤ/8)—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×AGL(1,ℤ/8)—41no—
222C2×#135—21no—
223C2×#135—21no—
224C22×SD16—21no—
225C22×D8—21no—
226#562—41no—
227#559—21no—
228#559—21no—
229#559C2311yescharacteristic
230#559C2311yescharacteristic
231#559C2311yescharacteristic
232#557C2311yescharacteristic
233#556C2311yescharacteristic
234#555C2311yescharacteristic
235#555C2311yescharacteristic
236#554—21no—
237#554C2311yescharacteristic
238#554C2311yescharacteristic
239#553—21no—
240#553—21no—
241#553—21no—
242#552—21no—
243#552—21no—
244#551—41no—
245#550—21no—
246#550C2311yescharacteristic
247#550C2311yescharacteristic
248#550C2311yescharacteristic
249#550C2311yescharacteristic
250D4×Q8C2311yescharacteristic
251#548—21no—
252#547—21no—
253#547C2311yescharacteristic
254#546—21no—
255#546—21no—
256#546—21no—
257#546—21no—
258#546—41no—
259#546—41no—
260D42—21no—
261D42C2311yescharacteristic
262#542—21no—
263#542—21no—
264#540—21no—
265#540—21no—
266#540—41no—
267#539—41no—
268#538—41no—
269#536—21no—
270#535—21no—
271#533C2311yescharacteristic
272#533C2311yescharacteristic
273#532—21no—
274#532—21no—
275#532C2311yescharacteristic
276#532C2311yescharacteristic
277C2×#127C2311yescharacteristic
278#529—21no—
279#529—41no—
280#529C2311yescharacteristic
281#525—21no—
282#525—21no—
283C2×#121—21no—
284#518—21no—
285#518—21no—
286C4×#41—21no—
287C4×#41C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×#117—21no—
290#500C2311yescharacteristic
291#500C2311yescharacteristic
292#499—21no—
293#498C2311yescharacteristic
294#496—21no—
295#496—21no—
296#496—21no—
297#496—21no—
298#496—41no—
299#495—21no—
300#495—21no—
301#495—21no—
302#493—21no—
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#493C2311yescharacteristic
306#493C2311yescharacteristic
307#493C2311yescharacteristic
308#492—21no—
309#492C2311yescharacteristic
310#492C2311yescharacteristic
311#492C2311yescharacteristic
312#492C2311yescharacteristic
313#492C2311yescharacteristic
314#492C2311yescharacteristic
315#491—21no—
316#490—21no—
317#490—21no—
318#489—21no—
319#488—21no—
320#488—21no—
321#488—21no—
322#488—21no—
323#488—21no—
324#487C2311yescharacteristic
325#487C2311yescharacteristic
326#486—21no—
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#485—21no—
336#485—21no—
337#485—21no—
338#485—21no—
339#485—21no—
340#485D411yescharacteristic
341#483—21no—
342#483D411yescharacteristic
343#483D411yescharacteristic
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#482—21no—
350#482—21no—
351#482—21no—
352#482—21no—
353#482—21no—
354#482—21no—
355#482D411yescharacteristic
356#481—21no—
357#481—21no—
358#480—21no—
359#480—21no—
360#480—21no—
361#479—21no—
362#479D411yescharacteristic
363#478—21no—
364#478—21no—
365#478—21no—
366#478—21no—
367#478—21no—
368#478—21no—
369#478—21no—
370#478D411yescharacteristic
371#477—21no—
372#477C2311yescharacteristic
373#477C2311yescharacteristic
374#477C2311yescharacteristic
375#477C2311yescharacteristic
376#477C2311yescharacteristic
377#477C2311yescharacteristic
378#476—21no—
379#476D411yescharacteristic
380#476D411yescharacteristic
381#476C2311yescharacteristic
382#476C2311yescharacteristic
383#475C2311yescharacteristic
384#475C2311yescharacteristic
385#474—21no—
386#474—21no—
387#474C2311yescharacteristic
388#474C2311yescharacteristic
389#470—21no—
390#469—21no—
391#469—21no—
392#469—21no—
393#469—21no—
394#468—21no—
395#468—21no—
396#468—21no—
397#468—21no—
398#468—21no—
399#468—21no—
400#468—21no—
401#468—41no—
402#467—21no—
403#467—21no—
404#466—21no—
405#466—21no—
406#466—21no—
407#465—21no—
408#465—21no—
409#465—21no—
410#464—21no—
411#464—21no—
412#464—21no—
413#464D411yescharacteristic
414#463—21no—
415#463—21no—
416#463—21no—
417#463—21no—
418#463—21no—
419#463—21no—
420#463—21no—
421#463—21no—
422#463—21no—
423#463—21no—
424#463—21no—
425#463—21no—
426#463—21no—
427#463—21no—
428#463—21no—
429#463D411yescharacteristic
430#462—21no—
431#462C2311yescharacteristic
432#462C2311yescharacteristic
433#461—21no—
434#461—21no—
435#461—21no—
436#461D411yescharacteristic
437#461D411yescharacteristic
438#461C2311yescharacteristic
439#461C2311yescharacteristic
440#460—21no—
441#460—21no—
442#460—21no—
443#460—21no—
444#460C2311yescharacteristic
445#460C2311yescharacteristic
446#460C2311yescharacteristic
447#460C2311yescharacteristic
448#460C2311yescharacteristic
449#460C2311yescharacteristic
450#459—21no—
451#459—21no—
452#459—21no—
453#459—21no—
454#459—21no—
455#459—21no—
456#459—21no—
457#459—21no—
458#459—21no—
459#459—21no—
460#459C2311yescharacteristic
461#459C2311yescharacteristic
462#459C2311yescharacteristic
463#459C2311yescharacteristic
464#459C2311yescharacteristic
465#459C2311yescharacteristic
466#459C2311yescharacteristic
467#459C2311yescharacteristic
468#459C2311yescharacteristic
469#459C2311yescharacteristic
470#452—21no—
471#452—21no—
472#452—21no—
473#452D411yescharacteristic
474#450—21no—
475#450—21no—
476#450—21no—
477#450—21no—
478#450—21no—
479#450D411yescharacteristic
480#450D411yescharacteristic
481#449—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#449D411yescharacteristic
493#448—21no—
494#448—21no—
495#447—21no—
496#447—21no—
497#447—21no—
498#447—21no—
499#447—21no—
500#446—21no—
501#446—21no—
502#446C2311yescharacteristic
503#446C2311yescharacteristic
504#446C2311yescharacteristic
505C8×Q8C2311yescharacteristic
506C8×Q8C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508C8×Q8C2311yescharacteristic
509C8×Q8C2311yescharacteristic
510#442—21no—
511#442—21no—
512#442—21no—
513#442—21no—
514#442—21no—
515#440—21no—
516#440—21no—
517#440—21no—
518#440—41no—
519C4×Q16C2311yescharacteristic
520C4×SD16—21no—
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16C2311yescharacteristic
526C4×SD16C2311yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×SD16C2311yescharacteristic
529C4×SD16C2311yescharacteristic
530C4×SD16C2311yescharacteristic
531C4×D8—21no—
532C4×D8—21no—
533C4×D8—21no—
534C4×D8—21no—
535C4×D8—21no—
536C4×D8—21no—
537C4×D8—21no—
538C4×D8C2311yescharacteristic
539#436—21no—
540#436—21no—
541#436—21no—
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#436C2311yescharacteristic
547#435—21no—
548C8×D4—21no—
549C8×D4—21no—
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552C8×D4C2311yescharacteristic
553#433—21no—
554#433—21no—
555#433—21no—
556#432C2311yescharacteristic
557#431—21no—
558#431C2311yescharacteristic
559#431C2311yescharacteristic
560#431C2311yescharacteristic
561#428—21no—
562#428—21no—
563#428—21no—
564#428—21no—
565#424—21no—
566#423C2311yescharacteristic
567C2×C4⋊C8—21no—
568C2×C4⋊C8C2311yescharacteristic
569#419—21no—
570#418—21no—
571#418—21no—
572#417—21no—
573#417—21no—
574#417—21no—
575#416—21no—
576#416—21no—
577#416—21no—
578C2×#102—21no—
579#407—21no—
580#407—21no—
581C4×M16C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#334C2311yescharacteristic
585#334C2311yescharacteristic
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#331C2311yescharacteristic
599#331C2311yescharacteristic
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
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—41no—
634C2×#41C2×D411yescharacteristic
635C22×Q8—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—41no—
642C22×D4C2×D411yescharacteristic
643C23×C4—21no—
644AGL(1,ℤ/8)—84no—
645AGL(1,ℤ/8)—82no—
646AGL(1,ℤ/8)—82no—
647#135—82no—
648#135—82no—
649C2×Q16—21no—
650C2×Q16—21no—
651C2×Q16C2×D411yescharacteristic
652C2×SD16—21no—
653C2×SD16—21no—
654C2×SD16—21no—
655C2×SD16—21no—
656C2×SD16—21no—
657C2×SD16—21no—
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—21no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×SD16—82no—
670C2×SD16C2×D411yescharacteristic
671C2×SD16C2×D411yescharacteristic
672C2×SD16C2×D411yescharacteristic
673C2×SD16C2×D411yescharacteristic
674C2×SD16C2×D411yescharacteristic
675C2×SD16C2×D411yescharacteristic
676C2×D8—21no—
677C2×D8—21no—
678C2×D8—21no—
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—21no—
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—41no—
693C2×D8—41no—
694C2×D8—82no—
695C2×D8C2×D411yescharacteristic
696C2×M16—21no—
697C2×M16—21no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—21no—
703C22×C8—21no—
704C22×C8—21no—
705C22×C8—21no—
706C22×C8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—21no—
709C4⋊Q8C2×D411yescharacteristic
710C4⋊Q8C2×D411yescharacteristic
711C4⋊Q8C2411yescharacteristic
712C4⋊Q8C2411yescharacteristic
713C4⋊Q8C2411yescharacteristic
714C4⋊Q8C2411yescharacteristic
715#127—21no—
716#127—21no—
717#127—21no—
718#127—21no—
719#127—21no—
720#127—21no—
721#127—21no—
722#127C2411yescharacteristic
723#127C2411yescharacteristic
724#127C2411yescharacteristic
725#127C2411yescharacteristic
726#126—21no—
727#126—41no—
728#126—41no—
729#126—41no—
730#126—41no—
731#126—41no—
732#125—21no—
733#125—21no—
734#125—21no—
735#125—21no—
736#125—21no—
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—21no—
747#124—21no—
748#124—21no—
749#124—41no—
750#124—41no—
751#124—41no—
752#124—41no—
753#124—41no—
754#124C2×D411yescharacteristic
755#123—21no—
756#123—41no—
757#123—41no—
758#123—41no—
759#123—41no—
760#123—41no—
761#123—41no—
762#123—41no—
763#123—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8C2×D411yescharacteristic
789C22⋊Q8C2×D411yescharacteristic
790C22⋊Q8C2×D411yescharacteristic
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—21no—
800#121—21no—
801#121—21no—
802#121—21no—
803#121—21no—
804#121—21no—
805#121—21no—
806#121—41no—
807#121—41no—
808#121—41no—
809#121—41no—
810#121—41no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121—41no—
815#121—41no—
816#121—41no—
817#121—41no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121C2×D411yescharacteristic
823#120—41no—
824#120—41no—
825#120—41no—
826#120—41no—
827#120—41no—
828#120—41no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8—21no—
834C4×Q8—21no—
835C4×Q8C2×D411yescharacteristic
836C4×Q8C2411yescharacteristic
837C4×Q8C2411yescharacteristic
838C4×Q8C2411yescharacteristic
839C4×Q8C2411yescharacteristic
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—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—41no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4—41no—
866C4×D4—41no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4—41no—
871C4×D4—41no—
872C4×D4C2×D411yescharacteristic
873C4×D4C2×D411yescharacteristic
874C4×D4C2×D411yescharacteristic
875C4×D4C2411yescharacteristic
876C4×D4C2411yescharacteristic
877C4×D4C2411yescharacteristic
878C4×D4C2411yescharacteristic
879#117—21no—
880#117—21no—
881#117—21no—
882#117—21no—
883#117—21no—
884#117—21no—
885#117—21no—
886#117—21no—
887#117—21no—
888#117—41no—
889#117—41no—
890#117—41no—
891#117C2×D411yescharacteristic
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—41no—
896C2×C4⋊C4C2×D411yescharacteristic
897C2×C22⋊C4—21no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4—41no—
903C2×C42—21no—
904C2×C42—41no—
905C2×C42C2411yescharacteristic
906#107—21no—
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107—21no—
913#107—21no—
914#107—21no—
915#107—21no—
916#107—41no—
917#107C2×D411yescharacteristic
918#107C2×D411yescharacteristic
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—21no—
924#106—21no—
925#106C2×D411yescharacteristic
926#106C2×D411yescharacteristic
927#106C2×D411yescharacteristic
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930#106C2×D411yescharacteristic
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⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8C2×D411yescharacteristic
942C4⋊C8C2×D411yescharacteristic
943C4⋊C8C2×D411yescharacteristic
944C4⋊C8C2×D411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
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—41no—
968#103C2×D411yescharacteristic
969#103C2×D411yescharacteristic
970#103C2×D411yescharacteristic
971#103C2×D411yescharacteristic
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—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—41no—
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
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⋊C8C2×D411yescharacteristic
1030C22⋊C8C2×D411yescharacteristic
1031C22⋊C8C2×D411yescharacteristic
1032C22⋊C8C2×D411yescharacteristic
1033#97—21no—
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038C4×C8—21no—
1039C4×C8—21no—
1040C4×C8—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C24—21no—
1051C24—41no—
1052C24—41no—
1053#41—41no—
1054#41—41no—
1055#41—42no—
1056#41—81no—
1057#41—81no—
1058#41—81no—
1059#41—81no—
1060#41—81no—
1061#41—81no—
1062#41—81no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—82no—
1068#41—162no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—41no—
1075C2×Q8—81no—
1076C2×Q8—81no—
1077C2×Q8C22×D411yescharacteristic
1078C2×Q8C22×D411yescharacteristic
1079C2×Q8C22×D411yescharacteristic
1080C2×Q8C22×D411yescharacteristic
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—42no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—82no—
1125C2×D4—162no—
1126C2×D4C22×D411yescharacteristic
1127C2×D4C22×D411yescharacteristic
1128C2×D4C22×D411yescharacteristic
1129C2×D4C22×D411yescharacteristic
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—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—81no—
1153C22×C4—81no—
1154C22×C4C22×D411yescharacteristic
1155C22×C4C22×D411yescharacteristic
1156C22×C4H(5,𝔽2)11yescharacteristic
1157Q16—41no—
1158Q16—81no—
1159Q16—81no—
1160SD16—41no—
1161SD16—41no—
1162SD16—41no—
1163SD16—41no—
1164SD16—41no—
1165SD16—41no—
1166SD16—42no—
1167SD16—81no—
1168SD16—81no—
1169SD16—81no—
1170SD16—81no—
1171SD16—81no—
1172SD16—81no—
1173SD16—82no—
1174SD16—82no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178SD16—81no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182SD16—82no—
1183D8—41no—
1184D8—42no—
1185D8—42no—
1186D8—42no—
1187D8—81no—
1188D8—81no—
1189D8—81no—
1190D8—81no—
1191D8—81no—
1192D8—81no—
1193D8—82no—
1194D8—81no—
1195D8—81no—
1196D8—81no—
1197D8—81no—
1198D8—81no—
1199D8—81no—
1200D8—81no—
1201D8—82no—
1202M16—42no—
1203M16—81no—
1204M16—81no—
1205M16—81no—
1206M16—81no—
1207M16—81no—
1208M16—81no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—81no—
1220C2×C8—81no—
1221C2×C8—81no—
1222C2×C8—81no—
1223C2×C8C22×D411yescharacteristic
1224C2×C8C22×D411yescharacteristic
1225C2×C8C22×D411yescharacteristic
1226C2×C8C22×D411yescharacteristic
1227C2×C8C22×D411yescharacteristic
1228C2×C8C22×D411yescharacteristic
1229C2×C8C22×D411yescharacteristic
1230C2×C8C22×D411yescharacteristic
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
1234C4⋊C4—21no—
1235C4⋊C4—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
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—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—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C42—21no—
1317C42—21no—
1318C42—21no—
1319C42—21no—
1320C42—21no—
1321C42—21no—
1322C42—41no—
1323C42—41no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42C22×D411yescharacteristic
1328C42C22×D411yescharacteristic
1329C42H(5,𝔽2)11yescharacteristic
1330C42C2511yescharacteristic
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—81no—
1340C23—81no—
1341C23—81no—
1342C23—82no—
1343C23—82no—
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—41no—
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361Q8—81no—
1362Q8—81no—
1363Q8—81no—
1364Q8—161no—
1365D4—21no—
1366D4—21no—
1367D4—21no—
1368D4—21no—
1369D4—21no—
1370D4—21no—
1371D4—21no—
1372D4—21no—
1373D4—42no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—81no—
1391D4—81no—
1392D4—81no—
1393D4—81no—
1394D4—81no—
1395D4—82no—
1396D4—82no—
1397D4—81no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—161no—
1402D4—161no—
1403D4—161no—
1404D4—161no—
1405D4—161no—
1406D4—161no—
1407D4—161no—
1408D4—161no—
1409D4—161no—
1410D4—161no—
1411D4—161no—
1412D4—161no—
1413D4—161no—
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—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—41no—
1431C2×C4—42no—
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—81no—
1446C2×C4—81no—
1447C2×C4—81no—
1448C2×C4—82no—
1449C2×C4—161no—
1450C2×C4—161no—
1451C2×C4—161no—
1452C2×C4—161no—
1453C2×C4—161no—
1454C2×C4—161no—
1455C2×C4—161no—
1456C2×C4—161no—
1457C2×C4—161no—
1458C2×C4—161no—
1459C2×C4—161no—
1460C2×C4—161no—
1461C2×C4D4211yescharacteristic
1462C2×C4D4211yescharacteristic
1463C2×C4D4211yescharacteristic
1464C2×C4C23×D411yescharacteristic
1465C2×C4C23×D411yescharacteristic
1466C2×C4C2×H(5,𝔽2)11yescharacteristic
1467C8—22no—
1468C8—21no—
1469C8—21no—
1470C8—21no—
1471C8—21no—
1472C8—21no—
1473C8—21no—
1474C8—21no—
1475C8—21no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C22—21no—
1486C22—21no—
1487C22—21no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—81no—
1507C22—81no—
1508C22—81no—
1509C22—81no—
1510C22—81no—
1511C22—81no—
1512C22—162no—
1513C22—322no—
1514C22—322no—
1515C22C2×D4211yescharacteristic
1516C4—21no—
1517C4—21no—
1518C4—21no—
1519C4—21no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—81no—
1533C4—81no—
1534C4—81no—
1535C4—81no—
1536C4#358411yescharacteristic
1537C4#358411yescharacteristic
1538C4#358511yescharacteristic
1539C4#358511yescharacteristic
1540C2—41no—
1541C2—81no—
1542C2—81no—
1543C2—81no—
1544C2—81no—
1545C2—161no—
1546C2—161no—
1547C2—161no—
1548C2—161no—
1549C2#6105211yescharacteristic
1550C2#6106311yescharacteristic
1551C2#6111011yescharacteristic
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. #62039C2semidirect
2. #61949C2semidirect
3. #61920C2semidirect
4. #61725C2semidirect
5. #20266C2semidirect
6. #20256C2semidirect
7. #20230C2semidirect
8. #20228C2semidirect
9. #20154C2semidirect
10. #20149C2semidirect
11. #20064C2semidirect
12. #20034C2semidirect
13. #19949C2semidirect
14. #19949C2semidirect
15. #19922C2semidirect
16. #19912C2semidirect
17. #19882C2semidirect
18. #19875C2semidirect
19. #19833C2semidirect
20. #19819C2semidirect
21. #19719C2semidirect
22. #19537C2semidirect
23. #19532C2semidirect
24. #19422C2semidirect
25. #19412C2semidirect
26. #18743C2semidirect
27. #18568C2semidirect
28. #18562C2semidirect
29. #18560C2semidirect
30. #17952C2semidirect
31. #17927C2semidirect
34. #3508C22semidirect
38. #3399C22semidirect
39. #3399C22semidirect
40. #3399C22semidirect
41. #3396C22semidirect
44. #3392C22semidirect
45. #3391C22semidirect
46. #3373C22semidirect
47. #3372C22semidirect
49. #3368C22semidirect
51. #3365C22semidirect
52. #3361C22semidirect
53. #3361C22semidirect
54. #3361C22semidirect
55. #3358C22semidirect
56. #3357C22semidirect
57. #3357C22semidirect
58. #3356C22semidirect
60. #3354C22semidirect
62. #3333C22semidirect
63. #3332C22semidirect
64. #3329C22semidirect
66. #3325C22semidirect
67. #3324C22semidirect
73. #3305C22semidirect
76. #3284C22semidirect
77. #3284C22semidirect
78. D4×SD16C22semidirect
81. #3274C22semidirect
86. #3249C22semidirect
95. #3208C22semidirect
97. #3205C22semidirect
100. #3182C22semidirect
105. #3115C22semidirect
117. #2988C22semidirect
118. #2985C22semidirect
120. #1721C22semidirect
121. #1721C22semidirect
122. #1719C22semidirect
123. #1717C22semidirect
124. #1715C22semidirect
125. #1714C22semidirect
126. #1706C22semidirect
127. #1706C22semidirect
128. #1702C22semidirect
129. #1702C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1698C22semidirect
135. #1697C22semidirect
136. #1696C22semidirect
137. #1696C22semidirect
140. #1687C22semidirect
141. #1687C22semidirect
142. #1686C22semidirect
143. #1685C22semidirect
144. #1684C22semidirect
145. #1683C22semidirect
146. #1678C22semidirect
147. #1678C22semidirect
148. #1678C22semidirect
149. #1678C22semidirect
150. #1677C22semidirect
151. #1677C22semidirect
152. #1672C22semidirect
153. #1672C22semidirect
154. #1668C22semidirect
155. #1667C22semidirect
156. #1666C22semidirect
157. #1666C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1650C22semidirect
161. #1649C22semidirect
162. #1648C22semidirect
163. #1647C22semidirect
164. #1646C22semidirect
165. #1643C22semidirect
166. #1641C22semidirect
167. #1640C22semidirect
168. #1637C22semidirect
169. #1636C22semidirect
170. #1631C22semidirect
171. #1631C22semidirect
172. #1631C22semidirect
173. #1630C22semidirect
174. #1630C22semidirect
175. #1630C22semidirect
176. #1628C22semidirect
177. #1625C22semidirect
180. #1624C22semidirect
183. #1622C22semidirect
186. #1621C22semidirect
187. #1621C22semidirect
188. #1620C22semidirect
189. #1620C22semidirect
192. #1592C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1590C22semidirect
196. #1588C22semidirect
197. #1588C22semidirect
198. #1587C22semidirect
199. #1586C22semidirect
200. #1583C22semidirect
201. #1583C22semidirect
202. #1583C22semidirect
203. #1582C22semidirect
204. #1580C22semidirect
205. #1579C22semidirect
206. C8×SD16C22semidirect
207. C8×SD16C22semidirect
208. #1572C22semidirect
209. #1570C22semidirect
210. #1559C22semidirect
212. #1545C22semidirect
213. #1540C22semidirect
215. #1489C22semidirect
216. #1485C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#620392
#619492
#619202
#617252
#202662
#202562
#202302
#202282
#201542
#201492
#200642
#200342
#199492
#199222
#199122
#198822
#198752
#198332
#198192
#197192
#195372
#195322
#194222
#194122
#187432
#185682
#185622
#185602
#179522
#179272