Finite Group Databasebeta

← #6366817

Subgroups — #6366817

Order 512.

1556 conjugacy classes of subgroups.

The subgroup lattice has 1515 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62430C211yesmaximal, characteristic
2#62369C211yesmaximal, characteristic, complemented
3#62203C211yesmaximal, characteristic, complemented
4#62055C211yesmaximal, characteristic, complemented
5#20285C211yesmaximal, characteristic, complemented
6#20281C211yesmaximal, characteristic, complemented
7#20275C211yesmaximal, characteristic, complemented
8#20271C211yesmaximal, characteristic, complemented
9#20268C211yesmaximal, characteristic, complemented
10#20224C211yesmaximal, characteristic, complemented
11#20204C211yesmaximal, characteristic, complemented
12#20204C211yesmaximal, characteristic, complemented
13#20200C211yesmaximal, characteristic, complemented
14#20194C211yesmaximal, characteristic, complemented
15#20190C211yesmaximal, characteristic, complemented
16#20176C211yesmaximal, characteristic, complemented
17#19872C211yesmaximal, characteristic, complemented
18#19869C211yesmaximal, characteristic, complemented
19#19767C211yesmaximal, characteristic, complemented
20#19764C211yesmaximal, characteristic, complemented
21#19679C211yesmaximal, characteristic, complemented
22#19590C211yesmaximal, characteristic, complemented
23#19581C211yesmaximal, characteristic, complemented
24#19223C211yesmaximal, characteristic, complemented
25C2×#1686C211yesmaximal, characteristic, complemented
26#18733C211yesmaximal, characteristic, complemented
27#18720C211yesmaximal, characteristic, complemented
28#18589C211yesmaximal, characteristic, complemented
29#18580C211yesmaximal, characteristic, complemented
30#18092C211yesmaximal, characteristic, complemented
31#17939C211yesmaximal, characteristic, complemented
32#3552C2211yescharacteristic
33#3543C2211yescharacteristic
34#3523C2211yescharacteristic
35#3523C2211yescharacteristic, complemented
36#3402—21no—
37#3400C2211yescharacteristic
38#3400C2211yescharacteristic
39#3398C2211yescharacteristic, complemented
40#3398C2211yescharacteristic, complemented
41#3397C2211yescharacteristic
42#3394C2211yescharacteristic
43#3392C2211yescharacteristic
44#3392C2211yescharacteristic
45#3390—21no—
46#3386C2211yescharacteristic, complemented
47#3386C2211yescharacteristic, complemented
48#3386C2211yescharacteristic, complemented
49#3383C2211yescharacteristic, complemented
50#3377—21no—
51#3377—21no—
52#3374C2211yescharacteristic, complemented
53#3374C2211yescharacteristic, complemented
54#3374C2211yescharacteristic, complemented
55#3368C2211yescharacteristic
56#3367C2211yescharacteristic, complemented
57#3367C2211yescharacteristic, complemented
58#3365C2211yescharacteristic
59#3359C2211yescharacteristic, complemented
60#3353C2211yescharacteristic, complemented
61#3344—21no—
62#3342C2211yescharacteristic, complemented
63#3337—21no—
64#3328C2211yescharacteristic, complemented
65#3324C2211yescharacteristic
66#3320—21no—
67#3310—21no—
68#3304C2211yescharacteristic
69#3299—21no—
70#3298C2211yescharacteristic, complemented
71#3296—21no—
72#3284C2211yescharacteristic
73#3282—21no—
74D4×SD16—21no—
75D4×SD16—21no—
76D4×SD16C2211yescharacteristic
77D4×SD16C2211yescharacteristic
78#3278C2211yescharacteristic
79#3278C2211yescharacteristic
80#3272C2211yescharacteristic
81#3266—21no—
82#3266—21no—
83#3265—21no—
84#3260—21no—
85#3258—21no—
86#3250—21no—
87#3249—21no—
88#3248C2211yescharacteristic
89#3248C2211yescharacteristic
90#3248C2211yescharacteristic
91#3248C2211yescharacteristic, complemented
92#3242—21no—
93#3230C2211yescharacteristic, complemented
94#3222—21no—
95#3222—21no—
96#3221—21no—
97#3218C2211yescharacteristic
98#3217C2211yescharacteristic
99#3208C2211yescharacteristic
100#3181—21no—
101#3181—21no—
102#3174—21no—
103#3170C2211yescharacteristic, complemented
104#3168C2211yescharacteristic
105#3165C2211yescharacteristic, complemented
106#3154—21no—
107C2×#492C2211yescharacteristic
108#3138C2211yescharacteristic
109#3126—21no—
110#3121—21no—
111#3108C2211yescharacteristic
112#3082—21no—
113C2×#475C2211yescharacteristic, complemented
114#3043—21no—
115C2×#460C2211yescharacteristic
116#2994C2211yescharacteristic
117#2994C2211yescharacteristic, complemented
118#2966C2211yescharacteristic
119C2×#446C2211yescharacteristic, complemented
120#1722C2211yescharacteristic
121#1722C2211yescharacteristic, complemented
122#1719C2211yescharacteristic
123#1719C2211yescharacteristic, complemented
124#1714C2211yescharacteristic
125#1714C2211yescharacteristic
126#1714C2211yescharacteristic, complemented
127#1714C2211yescharacteristic, complemented
128#1702C2211yescharacteristic
129#1701C2211yescharacteristic, complemented
130#1700C2211yescharacteristic, complemented
131#1700C2211yescharacteristic, complemented
132#1700C2211yescharacteristic, complemented
133#1699C2211yescharacteristic, complemented
134#1699C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1694C2211yescharacteristic, complemented
137#1693C2211yescharacteristic, complemented
138#1686C2211yescharacteristic
139#1686C2211yescharacteristic
140#1686C2211yescharacteristic
141#1686C2211yescharacteristic
142#1686C2211yescharacteristic, complemented
143#1686C2211yescharacteristic, complemented
144#1686C2211yescharacteristic, complemented
145#1686C2211yescharacteristic, complemented
146#1686C2211yescharacteristic, complemented
147#1685C2211yescharacteristic
148#1682C2211yescharacteristic, complemented
149#1681C2211yescharacteristic
150#1680C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1674C2211yescharacteristic, complemented
153#1674C2211yescharacteristic, complemented
154#1673C2211yescharacteristic, complemented
155#1673C2211yescharacteristic, complemented
156#1670C2211yescharacteristic, complemented
157#1669C2211yescharacteristic, complemented
158#1666C2211yescharacteristic
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1653C2211yescharacteristic, complemented
162#1653C2211yescharacteristic, complemented
163#1653C2211yescharacteristic, complemented
164#1652C2211yescharacteristic, complemented
165#1651C2211yescharacteristic, complemented
166#1651C2211yescharacteristic, complemented
167#1651C2211yescharacteristic, complemented
168#1650C2211yescharacteristic, complemented
169#1650C2211yescharacteristic, complemented
170#1650C2211yescharacteristic, complemented
171#1649C2211yescharacteristic, complemented
172#1648C2211yescharacteristic, complemented
173#1648C2211yescharacteristic, complemented
174#1648C2211yescharacteristic, complemented
175#1647C2211yescharacteristic, complemented
176#1642C2211yescharacteristic
177#1642C2211yescharacteristic
178#1641C2211yescharacteristic
179#1641C2211yescharacteristic
180#1640C2211yescharacteristic
181#1640C2211yescharacteristic
182#1639C2211yescharacteristic
183#1639C2211yescharacteristic
184#1628C2211yescharacteristic
185#1628C2211yescharacteristic, complemented
186#1627C2211yescharacteristic
187#1627C2211yescharacteristic, complemented
188#1626C2211yescharacteristic
189#1626C2211yescharacteristic
190#1626C2211yescharacteristic, complemented
191#1626C2211yescharacteristic, complemented
192#1593C2211yescharacteristic, complemented
193#1593C2211yescharacteristic, complemented
194#1592C2211yescharacteristic, complemented
195#1592C2211yescharacteristic, complemented
196#1592C2211yescharacteristic, complemented
197#1592C2211yescharacteristic, complemented
198#1584C2211yescharacteristic, complemented
199#1584C2211yescharacteristic, complemented
200#1584C2211yescharacteristic, complemented
201#1584C2211yescharacteristic, complemented
202#1582C2211yescharacteristic, complemented
203#1582C2211yescharacteristic, complemented
204#1581C2211yescharacteristic, complemented
205#1581C2211yescharacteristic, complemented
206SD16⋊C8C2211yescharacteristic, complemented
207SD16⋊C8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209C2×#335C2211yescharacteristic, complemented
210#1552C2211yescharacteristic, complemented
211#1552C2211yescharacteristic, complemented
212C2×#332C2211yescharacteristic, complemented
213C2×#331C2211yescharacteristic
214#1491C2211yescharacteristic, complemented
215#1483C2211yescharacteristic
216#1483C2211yescharacteristic
217#1483C2211yescharacteristic, complemented
218#1451C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×#137—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×#135—21no—
223C22×SD16—21no—
224C22×SD16—21no—
225C22×SD16—21no—
226C22×SD16—21no—
227C22×SD16—21no—
228#563—41no—
229#560—41no—
230#559C2311yescharacteristic
231#557—21no—
232#557—21no—
233#557C2311yescharacteristic
234#557C2311yescharacteristic
235#557C2311yescharacteristic
236#557C2311yescharacteristic
237#557C2311yescharacteristic
238#556—21no—
239#556—21no—
240#556C2311yescharacteristic
241#556C2311yescharacteristic
242#556C2311yescharacteristic
243#554—21no—
244#553—21no—
245#552—21no—
246#552—21no—
247#552—41no—
248#552—41no—
249#550C2311yescharacteristic
250#550C2311yescharacteristic
251D4×Q8—21no—
252D4×Q8—21no—
253D4×Q8—21no—
254D4×Q8C2311yescharacteristic
255D4×Q8C2311yescharacteristic
256D4×Q8C2311yescharacteristic
257#548—21no—
258#547C2311yescharacteristic
259#546—21no—
260#546—21no—
261D42—21no—
262D42—21no—
263D42C2311yescharacteristic
264#544—21no—
265#542—21no—
266#541—21no—
267#541—21no—
268#541—21no—
269#541—41no—
270#541—41no—
271#540—21no—
272#540—21no—
273#539—41no—
274#536—21no—
275#535—21no—
276#535—21no—
277#534—41no—
278#533—21no—
279#533—21no—
280#533C2311yescharacteristic
281#533C2311yescharacteristic
282C2×C4⋊Q8C2311yescharacteristic
283C2×#127C2311yescharacteristic
284#529—21no—
285#529—21no—
286#529C2311yescharacteristic
287#529C2311yescharacteristic
288#529C2311yescharacteristic
289#519—21no—
290#519—21no—
291C2×C4×Q8C2311yescharacteristic
292#501—21no—
293#501—21no—
294#501—21no—
295#501—41no—
296#500C2311yescharacteristic
297#500C2311yescharacteristic
298#500C2311yescharacteristic
299#500C2311yescharacteristic
300#500C2311yescharacteristic
301#499—21no—
302#499D411yescharacteristic
303#498C2311yescharacteristic
304#498C2311yescharacteristic
305#497—21no—
306#497—21no—
307#497—21no—
308#497—21no—
309#497—21no—
310#496—21no—
311#496—21no—
312#495—21no—
313#495D411yescharacteristic
314#494C2311yescharacteristic
315#492—21no—
316#492—21no—
317#492—21no—
318#492—21no—
319#492C2311yescharacteristic
320#492C2311yescharacteristic
321#492C2311yescharacteristic
322#492C2311yescharacteristic
323#492C2311yescharacteristic
324#492C2311yescharacteristic
325#491—21no—
326#491—21no—
327#491—21no—
328#491—21no—
329#490—21no—
330#490—21no—
331#490—41no—
332#489—21no—
333#489—21no—
334#488—21no—
335#488D411yescharacteristic
336#488D411yescharacteristic
337#487—21no—
338#487C2311yescharacteristic
339#487C2311yescharacteristic
340#487C2311yescharacteristic
341#487C2311yescharacteristic
342#486C2311yescharacteristic
343#486C2311yescharacteristic
344#486C2311yescharacteristic
345#486C2311yescharacteristic
346#486C2311yescharacteristic
347#486C2311yescharacteristic
348#485—21no—
349#485—21no—
350#485—21no—
351#484—21no—
352#484—21no—
353#484—21no—
354#483—21no—
355#483D411yescharacteristic
356#482—21no—
357#482—21no—
358#482—21no—
359#480D411yescharacteristic
360#479—21no—
361#479—21no—
362#479—21no—
363#479—21no—
364#479—21no—
365#479—21no—
366#479—21no—
367#479—21no—
368#479—21no—
369#479D411yescharacteristic
370#479D411yescharacteristic
371#478—21no—
372#478—21no—
373#478—21no—
374#478—21no—
375#478—21no—
376#477—21no—
377#477—21no—
378#477—21no—
379#477—21no—
380#477—21no—
381#477—21no—
382#477—21no—
383#475—21no—
384#475—21no—
385#475—21no—
386#475C2311yescharacteristic
387#475C2311yescharacteristic
388#475C2311yescharacteristic
389#475C2311yescharacteristic
390#475C2311yescharacteristic
391#475C2311yescharacteristic
392#475C2311yescharacteristic
393#475C2311yescharacteristic
394#474C2311yescharacteristic
395#474C2311yescharacteristic
396#474C2311yescharacteristic
397#474C2311yescharacteristic
398#470—21no—
399#468—21no—
400#468—21no—
401#468—21no—
402#468—21no—
403#468—21no—
404#467—21no—
405#467—21no—
406#467—21no—
407#467—21no—
408#467—21no—
409#467—21no—
410#467—21no—
411#467D411yescharacteristic
412#466D411yescharacteristic
413#465—21no—
414#465—21no—
415#465—21no—
416#465—21no—
417#465—21no—
418#465—21no—
419#465—21no—
420#465—21no—
421#465—21no—
422#465D411yescharacteristic
423#465D411yescharacteristic
424#464—21no—
425#464—21no—
426#464—21no—
427#464—21no—
428#464—21no—
429#464—21no—
430#464—21no—
431#464—21no—
432#464—21no—
433#464—21no—
434#464D411yescharacteristic
435#464D411yescharacteristic
436#463—21no—
437#463—21no—
438#463—21no—
439#463—21no—
440#462—21no—
441#462—21no—
442#462—21no—
443#462—21no—
444#462—21no—
445#462C2311yescharacteristic
446#462C2311yescharacteristic
447#462C2311yescharacteristic
448#462C2311yescharacteristic
449#462C2311yescharacteristic
450#462C2311yescharacteristic
451#461—21no—
452#461—21no—
453#461—21no—
454#461—21no—
455#461—21no—
456#461C2311yescharacteristic
457#461C2311yescharacteristic
458#461C2311yescharacteristic
459#461C2311yescharacteristic
460#461C2311yescharacteristic
461#461C2311yescharacteristic
462#460—21no—
463#460—21no—
464#460—21no—
465#460—21no—
466#460—21no—
467#460—21no—
468#460—21no—
469#460—21no—
470#460C2311yescharacteristic
471#460C2311yescharacteristic
472#460C2311yescharacteristic
473#460C2311yescharacteristic
474#460C2311yescharacteristic
475#460C2311yescharacteristic
476#459C2311yescharacteristic
477#459C2311yescharacteristic
478#452—21no—
479#452—21no—
480#452—21no—
481#452—21no—
482#451—21no—
483#451—21no—
484#451D411yescharacteristic
485#450—21no—
486#450—21no—
487#450—21no—
488#450—21no—
489#450—21no—
490#450—21no—
491#450—21no—
492#449—21no—
493#449—21no—
494#448—21no—
495#448—21no—
496#448—21no—
497#448—21no—
498#448—21no—
499#448—21no—
500#448D411yescharacteristic
501#447—21no—
502#446—21no—
503#446—21no—
504#446C2311yescharacteristic
505#446C2311yescharacteristic
506#446C2311yescharacteristic
507#446C2311yescharacteristic
508#446C2311yescharacteristic
509#446C2311yescharacteristic
510#446C2311yescharacteristic
511C8×Q8C2311yescharacteristic
512C8×Q8C2311yescharacteristic
513C8×Q8C2311yescharacteristic
514#441—21no—
515#441—21no—
516#441—21no—
517#441—21no—
518#441—21no—
519#440—21no—
520#440—21no—
521#440—21no—
522#440—21no—
523#440—21no—
524#440—21no—
525#440—21no—
526#440—21no—
527#440—21no—
528C4×Q16—21no—
529C4×Q16—21no—
530C4×Q16—21no—
531C4×Q16C2311yescharacteristic
532C4×Q16C2311yescharacteristic
533C4×Q16C2311yescharacteristic
534C4×SD16—21no—
535C4×SD16—21no—
536C4×SD16—21no—
537C4×SD16—21no—
538C4×SD16—21no—
539C4×SD16C2311yescharacteristic
540C4×SD16C2311yescharacteristic
541C4×SD16C2311yescharacteristic
542C4×SD16C2311yescharacteristic
543C4×D8C2311yescharacteristic
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#436C2311yescharacteristic
547#435—21no—
548#435—21no—
549#435—21no—
550C8×D4—21no—
551C8×D4—21no—
552C8×D4—21no—
553C8×D4C2311yescharacteristic
554C8×D4C2311yescharacteristic
555C8×D4C2311yescharacteristic
556#433—21no—
557#433—21no—
558#433—21no—
559#432C2311yescharacteristic
560#431C2311yescharacteristic
561#428—21no—
562#428—41no—
563#427—21no—
564C2×#106—21no—
565#424—21no—
566#424—21no—
567C2×C4⋊C8—21no—
568C2×C4⋊C8C2311yescharacteristic
569C2×C4⋊C8C2311yescharacteristic
570C2×C4⋊C8C2311yescharacteristic
571#419—21no—
572#418—21no—
573#418—41no—
574#416—21no—
575C2×#103—21no—
576C2×#103—21no—
577C2×#102—21no—
578#405—21no—
579C4×M16C2311yescharacteristic
580C2×#97—21no—
581C2×C4×C8C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#335C2311yescharacteristic
587#335C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#332C2311yescharacteristic
591#332C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
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
614Q8⋊C8C2311yescharacteristic
615Q8⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625#322C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C22×Q8—21no—
630C22×Q8—21no—
631C22×Q8—21no—
632C22×Q8—21no—
633C22×Q8C2×D411yescharacteristic
634C22×D4—21no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—41no—
640#137—82no—
641#137—82no—
642AGL(1,ℤ/8)—82no—
643#135—82no—
644C2×Q16—21no—
645C2×Q16—21no—
646C2×Q16—21no—
647C2×Q16—21no—
648C2×Q16—21no—
649C2×Q16—21no—
650C2×Q16—21no—
651C2×Q16—21no—
652C2×Q16C2×D411yescharacteristic
653C2×Q16C2×D411yescharacteristic
654C2×Q16C2×D411yescharacteristic
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—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—82no—
680C2×SD16—82no—
681C2×SD16—82no—
682C2×SD16—82no—
683C2×SD16—82no—
684C2×SD16C2×D411yescharacteristic
685C2×SD16C2×D411yescharacteristic
686C2×SD16C2×D411yescharacteristic
687C2×SD16C2×D411yescharacteristic
688C2×D8—21no—
689C2×D8—21no—
690C2×D8C2×D411yescharacteristic
691C2×M16—21no—
692C2×M16—21no—
693C2×M16—21no—
694C2×M16—21no—
695C22×C8—21no—
696C22×C8—21no—
697C22×C8—21no—
698C22×C8—21no—
699C22×C8—21no—
700C22×C8—21no—
701C22×C8C2×D411yescharacteristic
702C22×C8C2×D411yescharacteristic
703C4⋊Q8—21no—
704C4⋊Q8—21no—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—21no—
709C4⋊Q8—21no—
710C4⋊Q8—21no—
711C4⋊Q8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—21no—
714C4⋊Q8—41no—
715C4⋊Q8—41no—
716C4⋊Q8—41no—
717C4⋊Q8C2411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722C4⋊Q8C2411yescharacteristic
723#127—21no—
724#127—21no—
725#127—21no—
726#127—21no—
727#127—21no—
728#127C2411yescharacteristic
729#127C2411yescharacteristic
730#126—21no—
731#126—21no—
732#126—21no—
733#126—41no—
734#126—41no—
735#126—41no—
736#126—41no—
737#126—41no—
738#126—41no—
739#126—41no—
740#126—41no—
741#126—41no—
742#126—41no—
743#126—41no—
744#125—21no—
745#125—21no—
746#125—21no—
747#125—21no—
748#125—21no—
749#125—21no—
750#125—21no—
751#125—41no—
752#125—41no—
753#125—41no—
754#125—41no—
755#125—41no—
756#125—41no—
757#125—41no—
758#125—41no—
759#125—41no—
760#125—41no—
761#125—41no—
762#125—41no—
763#125—41no—
764#125C2×D411yescharacteristic
765#125C2×D411yescharacteristic
766#125C2×D411yescharacteristic
767#124—21no—
768#124—21no—
769#124—21no—
770#124—21no—
771#124—21no—
772#124—41no—
773#124C2×D411yescharacteristic
774#124C2×D411yescharacteristic
775#124C2×D411yescharacteristic
776#123—21no—
777#123—21no—
778#123—21no—
779#123—41no—
780#123—41no—
781#123—41no—
782#123—41no—
783#123—41no—
784#123—41no—
785#123—41no—
786#123—41no—
787#123—41no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
790C22⋊Q8—21no—
791C22⋊Q8—21no—
792C22⋊Q8—21no—
793C22⋊Q8—21no—
794C22⋊Q8—21no—
795C22⋊Q8—21no—
796C22⋊Q8—21no—
797C22⋊Q8—21no—
798C22⋊Q8—21no—
799C22⋊Q8—41no—
800C22⋊Q8—41no—
801C22⋊Q8—41no—
802C22⋊Q8—41no—
803C22⋊Q8—41no—
804C22⋊Q8—41no—
805C22⋊Q8—41no—
806C22⋊Q8—41no—
807C22⋊Q8—41no—
808C22⋊Q8—41no—
809C22⋊Q8—41no—
810C22⋊Q8—41no—
811C22⋊Q8C2×D411yescharacteristic
812C22⋊Q8C2×D411yescharacteristic
813C22⋊Q8C2×D411yescharacteristic
814#121—21no—
815#121—21no—
816#121—21no—
817#121—21no—
818#121—21no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121C2×D411yescharacteristic
829#121C2×D411yescharacteristic
830#121C2×D411yescharacteristic
831#120—41no—
832#120—41no—
833#120—41no—
834#120—41no—
835#120—41no—
836#120—41no—
837C4×Q8—21no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8—21no—
843C4×Q8—21no—
844C4×Q8—21no—
845C4×Q8—21no—
846C4×Q8—21no—
847C4×Q8—21no—
848C4×Q8—21no—
849C4×Q8—21no—
850C4×Q8—21no—
851C4×Q8—21no—
852C4×Q8—21no—
853C4×Q8—21no—
854C4×Q8—21no—
855C4×Q8—21no—
856C4×Q8—41no—
857C4×Q8—41no—
858C4×Q8—41no—
859C4×Q8—41no—
860C4×Q8C2×D411yescharacteristic
861C4×Q8C2×D411yescharacteristic
862C4×Q8C2411yescharacteristic
863C4×Q8C2411yescharacteristic
864C4×Q8C2411yescharacteristic
865C4×Q8C2411yescharacteristic
866C4×Q8C2411yescharacteristic
867C4×D4—21no—
868C4×D4—21no—
869C4×D4—21no—
870C4×D4—21no—
871C4×D4—21no—
872C4×D4—21no—
873C4×D4—21no—
874C4×D4—21no—
875C4×D4—21no—
876C4×D4—21no—
877C4×D4—41no—
878C4×D4—41no—
879C4×D4—41no—
880C4×D4—41no—
881C4×D4C2411yescharacteristic
882C4×D4C2411yescharacteristic
883C4×D4C2411yescharacteristic
884#117—21no—
885#117—21no—
886#117—21no—
887#117—21no—
888#117—21no—
889#117—21no—
890#117—21no—
891#117—21no—
892#117—41no—
893#117—41no—
894#117—41no—
895#117—41no—
896#117—41no—
897#117—41no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4C2×D411yescharacteristic
903C2×C22⋊C4—41no—
904C2×C42—21no—
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#107—41no—
918#107C2×D411yescharacteristic
919#107C2×D411yescharacteristic
920#107C2×D411yescharacteristic
921#107C2×D411yescharacteristic
922#106—21no—
923#106—21no—
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—41no—
931#106—41no—
932#106C2×D411yescharacteristic
933#106C2×D411yescharacteristic
934#106C2×D411yescharacteristic
935#106C2×D411yescharacteristic
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8—21no—
943C4⋊C8—21no—
944C4⋊C8—21no—
945C4⋊C8—21no—
946C4⋊C8—21no—
947C4⋊C8—21no—
948C4⋊C8—21no—
949C4⋊C8C2×D411yescharacteristic
950C4⋊C8C2×D411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955C4⋊C8C2411yescharacteristic
956C4⋊C8C2411yescharacteristic
957C4⋊C8C2411yescharacteristic
958C4⋊C8C2411yescharacteristic
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—21no—
975#103—21no—
976#103—21no—
977#103—21no—
978#103—21no—
979#103—21no—
980#103—21no—
981#103—21no—
982#103—21no—
983#103—21no—
984#103—21no—
985#103—21no—
986#103—21no—
987#103C2×D411yescharacteristic
988#103C2×D411yescharacteristic
989#103C2×D411yescharacteristic
990#103C2×D411yescharacteristic
991#103C2×D411yescharacteristic
992#103C2×D411yescharacteristic
993#103C2×D411yescharacteristic
994#103C2×D411yescharacteristic
995#103C2×D411yescharacteristic
996#103C2×D411yescharacteristic
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—21no—
1012#102—21no—
1013#102—41no—
1014#102—41no—
1015#102—41no—
1016#102—41no—
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8C2×D411yescharacteristic
1031C22⋊C8C2×D411yescharacteristic
1032#97—21no—
1033#97—21no—
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040#97—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8C2×D411yescharacteristic
1045C4×C8C2×D411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C24—41no—
1053C24—41no—
1054#41—81no—
1055#41—81no—
1056#41—81no—
1057#41—81no—
1058#41—81no—
1059#41—81no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—41no—
1068C2×Q8—41no—
1069C2×Q8—41no—
1070C2×Q8—41no—
1071C2×Q8—41no—
1072C2×Q8—41no—
1073C2×Q8—42no—
1074C2×Q8—42no—
1075C2×Q8—81no—
1076C2×Q8—81no—
1077C2×Q8—81no—
1078C2×Q8—81no—
1079C2×Q8—81no—
1080C2×Q8—81no—
1081C2×Q8C22×D411yescharacteristic
1082C2×Q8C22×D411yescharacteristic
1083C2×Q8C22×D411yescharacteristic
1084C2×Q8C22×D411yescharacteristic
1085C2×Q8C22×D411yescharacteristic
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—41no—
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—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—82no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—162no—
1115C2×D4C22×D411yescharacteristic
1116C2×D4C22×D411yescharacteristic
1117C2×D4C22×D411yescharacteristic
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4C22×D411yescharacteristic
1132C22×C4C22×D411yescharacteristic
1133C22×C4H(5,𝔽2)11yescharacteristic
1134Q16—41no—
1135Q16—41no—
1136Q16—41no—
1137Q16—42no—
1138Q16—81no—
1139Q16—81no—
1140Q16—81no—
1141Q16—81no—
1142Q16—81no—
1143Q16—81no—
1144Q16—81no—
1145SD16—22no—
1146SD16—22no—
1147SD16—41no—
1148SD16—41no—
1149SD16—42no—
1150SD16—42no—
1151SD16—42no—
1152SD16—42no—
1153SD16—42no—
1154SD16—42no—
1155SD16—81no—
1156SD16—81no—
1157SD16—81no—
1158SD16—81no—
1159SD16—81no—
1160SD16—81no—
1161SD16—81no—
1162SD16—81no—
1163SD16—81no—
1164SD16—81no—
1165SD16—81no—
1166SD16—81no—
1167SD16—81no—
1168SD16—81no—
1169SD16—81no—
1170SD16—81no—
1171SD16—81no—
1172SD16—81no—
1173D8—41no—
1174D8—81no—
1175D8—81no—
1176M16—42no—
1177M16—42no—
1178M16—81no—
1179M16—81no—
1180C2×C8—22no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—41no—
1192C2×C8—42no—
1193C2×C8—81no—
1194C2×C8—81no—
1195C2×C8—81no—
1196C2×C8—81no—
1197C2×C8—81no—
1198C2×C8C22×D411yescharacteristic
1199C2×C8C22×D411yescharacteristic
1200C2×C8C22×D411yescharacteristic
1201C2×C8C22×D411yescharacteristic
1202C2×C8C22×D411yescharacteristic
1203C2×C8C22×D411yescharacteristic
1204C2×C8C22×D411yescharacteristic
1205C2×C8C22×D411yescharacteristic
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
1234C4⋊C4—21no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊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⋊C4C22×D411yescharacteristic
1264C4⋊C4C22×D411yescharacteristic
1265C4⋊C4C22×D411yescharacteristic
1266C4⋊C4C22×D411yescharacteristic
1267C4⋊C4C22×D411yescharacteristic
1268C4⋊C4C22×D411yescharacteristic
1269C4⋊C4C22×D411yescharacteristic
1270C4⋊C4C22×D411yescharacteristic
1271C22⋊C4—21no—
1272C22⋊C4—21no—
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—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—
1304C42—21no—
1305C42—21no—
1306C42—21no—
1307C42—21no—
1308C42—21no—
1309C42—21no—
1310C42—21no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C42—41no—
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—41no—
1329C23—41no—
1330C23—82no—
1331C23—161no—
1332C23—161no—
1333C23—161no—
1334C23—161no—
1335C23—161no—
1336C23D4211yescharacteristic
1337Q8—21no—
1338Q8—21no—
1339Q8—21no—
1340Q8—21no—
1341Q8—21no—
1342Q8—21no—
1343Q8—21no—
1344Q8—21no—
1345Q8—21no—
1346Q8—21no—
1347Q8—41no—
1348Q8—41no—
1349Q8—41no—
1350Q8—41no—
1351Q8—41no—
1352Q8—41no—
1353Q8—41no—
1354Q8—41no—
1355Q8—41no—
1356Q8—41no—
1357Q8—41no—
1358Q8—41no—
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—42no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—81no—
1382D4—81no—
1383D4—161no—
1384D4—161no—
1385D4—161no—
1386D4—161no—
1387D4—161no—
1388D4—161no—
1389D4—161no—
1390D4—161no—
1391D4—161no—
1392D4—161no—
1393C2×C4—22no—
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—21no—
1411C2×C4—42no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—81no—
1425C2×C4—82no—
1426C2×C4—82no—
1427C2×C4—161no—
1428C2×C4—161no—
1429C2×C4—161no—
1430C2×C4—161no—
1431C2×C4—161no—
1432C2×C4—161no—
1433C2×C4D4211yescharacteristic
1434C2×C4D4211yescharacteristic
1435C2×C4D4211yescharacteristic
1436C2×C4C23×D411yescharacteristic
1437C2×C4C23×D411yescharacteristic
1438C2×C4C2×H(5,𝔽2)11yescharacteristic
1439C8—21no—
1440C8—21no—
1441C8—21no—
1442C8—21no—
1443C8—21no—
1444C8—21no—
1445C8—21no—
1446C8—41no—
1447C8—41no—
1448C8—41no—
1449C8—41no—
1450C8—41no—
1451C8—41no—
1452C8—41no—
1453C8—41no—
1454C8—41no—
1455C8—41no—
1456C8#57712yes—
1457C22—21no—
1458C22—21no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—322no—
1475C22—322no—
1476C22#328912yes—
1477C22C2×D4211yescharacteristic
1478C4—21no—
1479C4—21no—
1480C4—21no—
1481C4—21no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—81no—
1496C4—81no—
1497C4—81no—
1498C4—81no—
1499C4—81no—
1500C4—81no—
1501C4C2×#57711yescharacteristic
1502C4#358511yescharacteristic
1503C4#358511yescharacteristic
1504C4#358611yescharacteristic
1505C2—22no—
1506C2—81no—
1507C2—81no—
1508C2—81no—
1509C2—161no—
1510C2—161no—
1511C2#6106211yescharacteristic
1512C2#6109511yescharacteristic
1513C2C2×#328911yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
prime radical#62430C2
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. #62369C2semidirect
3. #62203C2semidirect
4. #62055C2semidirect
5. #20285C2semidirect
6. #20281C2semidirect
7. #20275C2semidirect
8. #20271C2semidirect
9. #20268C2semidirect
10. #20224C2semidirect
11. #20204C2semidirect
12. #20204C2semidirect
13. #20200C2semidirect
14. #20194C2semidirect
15. #20190C2semidirect
16. #20176C2semidirect
17. #19872C2semidirect
18. #19869C2semidirect
19. #19767C2semidirect
20. #19764C2semidirect
21. #19679C2semidirect
22. #19590C2semidirect
23. #19581C2semidirect
24. #19223C2semidirect
25. C2×#1686C2semidirect
26. #18733C2semidirect
27. #18720C2semidirect
28. #18589C2semidirect
29. #18580C2semidirect
30. #18092C2semidirect
31. #17939C2semidirect
35. #3523C22semidirect
39. #3398C22semidirect
40. #3398C22semidirect
46. #3386C22semidirect
47. #3386C22semidirect
48. #3386C22semidirect
49. #3383C22semidirect
52. #3374C22semidirect
53. #3374C22semidirect
54. #3374C22semidirect
56. #3367C22semidirect
57. #3367C22semidirect
59. #3359C22semidirect
60. #3353C22semidirect
62. #3342C22semidirect
64. #3328C22semidirect
70. #3298C22semidirect
91. #3248C22semidirect
93. #3230C22semidirect
103. #3170C22semidirect
105. #3165C22semidirect
113. C2×#475C22semidirect
117. #2994C22semidirect
119. C2×#446C22semidirect
121. #1722C22semidirect
123. #1719C22semidirect
126. #1714C22semidirect
127. #1714C22semidirect
129. #1701C22semidirect
130. #1700C22semidirect
131. #1700C22semidirect
132. #1700C22semidirect
133. #1699C22semidirect
134. #1699C22semidirect
135. #1699C22semidirect
136. #1694C22semidirect
137. #1693C22semidirect
142. #1686C22semidirect
143. #1686C22semidirect
144. #1686C22semidirect
145. #1686C22semidirect
146. #1686C22semidirect
148. #1682C22semidirect
150. #1680C22semidirect
151. #1679C22semidirect
152. #1674C22semidirect
153. #1674C22semidirect
154. #1673C22semidirect
155. #1673C22semidirect
156. #1670C22semidirect
157. #1669C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1653C22semidirect
162. #1653C22semidirect
163. #1653C22semidirect
164. #1652C22semidirect
165. #1651C22semidirect
166. #1651C22semidirect
167. #1651C22semidirect
168. #1650C22semidirect
169. #1650C22semidirect
170. #1650C22semidirect
171. #1649C22semidirect
172. #1648C22semidirect
173. #1648C22semidirect
174. #1648C22semidirect
175. #1647C22semidirect
185. #1628C22semidirect
187. #1627C22semidirect
190. #1626C22semidirect
191. #1626C22semidirect
192. #1593C22semidirect
193. #1593C22semidirect
194. #1592C22semidirect
195. #1592C22semidirect
196. #1592C22semidirect
197. #1592C22semidirect
198. #1584C22semidirect
199. #1584C22semidirect
200. #1584C22semidirect
201. #1584C22semidirect
202. #1582C22semidirect
203. #1582C22semidirect
204. #1581C22semidirect
205. #1581C22semidirect
206. SD16⋊C8C22semidirect
207. SD16⋊C8C22semidirect
208. #1573C22semidirect
209. C2×#335C22semidirect
210. #1552C22semidirect
211. #1552C22semidirect
212. C2×#332C22semidirect
214. #1491C22semidirect
217. #1483C22semidirect
218. #1451C22semidirect

Maximal subgroups

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

subgroupindex
#624302
#623692
#622032
#620552
#202852
#202812
#202752
#202712
#202682
#202242
#202042
#202002
#201942
#201902
#201762
#198722
#198692
#197672
#197642
#196792
#195902
#195812
#192232
C2×#16862
#187332
#187202
#185892
#185802
#180922
#179392