Finite Group Databasebeta

← #6369248

Subgroups — #6369248

Order 512.

1745 conjugacy classes of subgroups.

The subgroup lattice has 1557 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62137C211yesmaximal, characteristic, complemented
2#61843C211yesmaximal, characteristic, complemented
3#61542C211yesmaximal, characteristic, complemented
4D4×#137C211yesmaximal, characteristic, complemented
5#20312C211yesmaximal, characteristic, complemented
6#20211C211yesmaximal, characteristic, complemented
7#20208C211yesmaximal, characteristic, complemented
8#20173C211yesmaximal, characteristic, complemented
9#20165C211yesmaximal, characteristic, complemented
10#20087C211yesmaximal, characteristic, complemented
11#20083C211yesmaximal, characteristic, complemented
12#20061C211yesmaximal, characteristic, complemented
13#20038C211yesmaximal, characteristic, complemented
14#19970C211yesmaximal, characteristic, complemented
15#19926C211yesmaximal, characteristic, complemented
16#19895C211yesmaximal, characteristic, complemented
17#19812C211yesmaximal, characteristic, complemented
18#19789C211yesmaximal, characteristic, complemented
19#19765C211yesmaximal, characteristic, complemented
20#19760C211yesmaximal, characteristic, complemented
21#19725C211yesmaximal, characteristic, complemented
22#19489C211yesmaximal, characteristic, complemented
23#19479C211yesmaximal, characteristic, complemented
24#19377C211yesmaximal, characteristic, complemented
25#19305C211yesmaximal, characteristic, complemented
26#18844C211yesmaximal, characteristic, complemented
27#18812C211yesmaximal, characteristic, complemented
28#18794C211yesmaximal, characteristic, complemented
29#18759C211yesmaximal, characteristic, complemented
30#18051C211yesmaximal, characteristic, complemented
31#18006C211yesmaximal, characteristic, complemented
32C22×#137—21no—
33#3522C2211yescharacteristic, complemented
34#3515C2211yescharacteristic
35D4×#41C2211yescharacteristic
36C2×D4×Q8C2211yescharacteristic
37#3400C2211yescharacteristic, complemented
38#3386C2211yescharacteristic
39#3385C2211yescharacteristic, complemented
40#3384—21no—
41#3384—21no—
42#3384C2211yescharacteristic
43#3384C2211yescharacteristic
44#3384C2211yescharacteristic, complemented
45Q8×SD16C2211yescharacteristic
46Q8×SD16C2211yescharacteristic, complemented
47#3373—21no—
48#3373—21no—
49#3373C2211yescharacteristic
50#3373C2211yescharacteristic, complemented
51#3368C2211yescharacteristic
52#3366C2211yescharacteristic
53#3363C2211yescharacteristic, complemented
54#3361C2211yescharacteristic, complemented
55#3358C2211yescharacteristic
56#3358C2211yescharacteristic, complemented
57#3345—21no—
58#3343—21no—
59#3343—21no—
60#3338C2211yescharacteristic, complemented
61#3335C2211yescharacteristic
62#3334C2211yescharacteristic
63#3333C2211yescharacteristic, complemented
64#3331C2211yescharacteristic, complemented
65#3330—21no—
66#3327—21no—
67#3318—21no—
68#3310—21no—
69#3295C2211yescharacteristic
70#3294C2211yescharacteristic
71D4×Q16C2211yescharacteristic
72D4×Q16C2211yescharacteristic
73#3284C2211yescharacteristic, complemented
74D4×SD16C2211yescharacteristic
75D4×SD16C2211yescharacteristic
76#3278C2211yescharacteristic
77#3278C2211yescharacteristic
78#3276C2211yescharacteristic
79#3276C2211yescharacteristic
80#3270—21no—
81#3270—21no—
82#3269—21no—
83#3266—21no—
84#3266—21no—
85#3251C2211yescharacteristic
86#3247—21no—
87#3239—21no—
88#3239C2211yescharacteristic, complemented
89#3234—21no—
90#3230C2211yescharacteristic, complemented
91#3228C2211yescharacteristic
92#3227—21no—
93#3227C2211yescharacteristic, complemented
94#3207C2211yescharacteristic
95#3182C2211yescharacteristic, complemented
96#3178—21no—
97#3152C2211yescharacteristic
98#3124—21no—
99#3120—21no—
100#3114—21no—
101#3109—21no—
102#3109C2211yescharacteristic
103#3106C2211yescharacteristic
104#3105—21no—
105#3105C2211yescharacteristic
106#3104C2211yescharacteristic, complemented
107#3077C2211yescharacteristic
108C2×#478—21no—
109#3056—21no—
110#3039C2211yescharacteristic
111#3037C2211yescharacteristic
112#3007—21no—
113#3004—21no—
114#2990C2211yescharacteristic
115#2984C2211yescharacteristic, complemented
116#2969C2211yescharacteristic, complemented
117#2951—21no—
118C4×#137C2211yescharacteristic
119D4×M16C2211yescharacteristic
120#1723C2211yescharacteristic, complemented
121#1722C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1714C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1707C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1698C2211yescharacteristic, complemented
133#1697C2211yescharacteristic, complemented
134#1695C2211yescharacteristic, complemented
135#1694C2211yescharacteristic, complemented
136#1692C2211yescharacteristic, complemented
137#1692C2211yescharacteristic, complemented
138#1692C2211yescharacteristic, complemented
139#1690C2211yescharacteristic, complemented
140#1689C2211yescharacteristic, complemented
141#1686C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1683C2211yescharacteristic
145#1682C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1678C2211yescharacteristic, complemented
149#1677C2211yescharacteristic
150#1675C2211yescharacteristic
151#1674C2211yescharacteristic, complemented
152#1672C2211yescharacteristic, complemented
153#1671C2211yescharacteristic, complemented
154#1671C2211yescharacteristic, complemented
155#1670C2211yescharacteristic, complemented
156#1669C2211yescharacteristic, complemented
157#1666C2211yescharacteristic, complemented
158#1665C2211yescharacteristic
159#1665C2211yescharacteristic, complemented
160#1649C2211yescharacteristic
161#1649C2211yescharacteristic
162#1649C2211yescharacteristic, complemented
163#1649C2211yescharacteristic, complemented
164#1648C2211yescharacteristic, complemented
165#1648C2211yescharacteristic, complemented
166#1647C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1645C2211yescharacteristic, complemented
169#1644C2211yescharacteristic, complemented
170#1644C2211yescharacteristic, complemented
171#1644C2211yescharacteristic, complemented
172#1643C2211yescharacteristic, complemented
173#1643C2211yescharacteristic, complemented
174#1641C2211yescharacteristic, complemented
175#1640C2211yescharacteristic, complemented
176#1637C2211yescharacteristic
177#1637C2211yescharacteristic
178#1637C2211yescharacteristic
179#1637C2211yescharacteristic, complemented
180#1637C2211yescharacteristic, complemented
181#1635C2211yescharacteristic
182#1631C2211yescharacteristic
183#1629C2211yescharacteristic
184#1627C2211yescharacteristic
185#1625C2211yescharacteristic
186#1623C2211yescharacteristic, complemented
187#1622C2211yescharacteristic, complemented
188#1621C2211yescharacteristic
189#1621C2211yescharacteristic, complemented
190#1620C2211yescharacteristic, complemented
191#1619C2211yescharacteristic
192#1594C2211yescharacteristic, complemented
193#1593C2211yescharacteristic, complemented
194#1591C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1587C2211yescharacteristic, complemented
198#1586C2211yescharacteristic
199#1585C2211yescharacteristic, complemented
200#1584C2211yescharacteristic, complemented
201#1582C2211yescharacteristic
202#1582C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204SD16⋊C8C2211yescharacteristic
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic
208#1574C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1560C2211yescharacteristic, complemented
211#1559C2211yescharacteristic, complemented
212#1553C2211yescharacteristic
213#1549C2211yescharacteristic, complemented
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic
216#1487C2211yescharacteristic, complemented
217#1478C2211yescharacteristic
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C23×Q8—21no—
221C2×#137—21no—
222C2×#137—21no—
223C2×#137—21no—
224C2×#137—21no—
225C2×#137—21no—
226C2×#137—21no—
227C2×#137—21no—
228C2×#137—21no—
229C2×#137—48no—
230C2×#137D411yescharacteristic
231C2×#135—21no—
232C22×Q16—21no—
233C22×Q16—21no—
234C22×SD16—21no—
235C22×SD16—21no—
236C22×M16—21no—
237#559—21no—
238#559C2311yescharacteristic
239Q82C2311yescharacteristic
240#557C2311yescharacteristic
241#554—21no—
242#554C2311yescharacteristic
243#554C2311yescharacteristic
244#554C2311yescharacteristic
245#553—21no—
246#552—21no—
247#552—21no—
248#552—41no—
249#550C2311yescharacteristic
250#550C2311yescharacteristic
251D4×Q8—21no—
252D4×Q8—21no—
253D4×Q8—21no—
254D4×Q8—21no—
255D4×Q8—41no—
256D4×Q8C2311yescharacteristic
257D4×Q8C2311yescharacteristic
258D4×Q8C2311yescharacteristic
259D4×Q8C2311yescharacteristic
260D4×Q8C2311yescharacteristic
261#548—21no—
262#548—21no—
263#547—21no—
264#547—21no—
265#547—21no—
266#547—41no—
267#547C2311yescharacteristic
268#547C2311yescharacteristic
269#546—21no—
270#546—41no—
271D42—21no—
272D42C2311yescharacteristic
273#542—21no—
274#542—41no—
275#541—21no—
276#539—41no—
277#533C2311yescharacteristic
278#532—21no—
279#532—21no—
280#532C2311yescharacteristic
281#532C2311yescharacteristic
282C2×C4⋊Q8—21no—
283C2×C4⋊Q8C2311yescharacteristic
284#529—21no—
285#529—21no—
286#529C2311yescharacteristic
287C2×#125—21no—
288#525—21no—
289#525—41no—
290C2×C22⋊Q8—21no—
291C2×C22⋊Q8—41no—
292#520—21no—
293#520—21no—
294C4×#41C2311yescharacteristic
295C2×C4×Q8C2311yescharacteristic
296C2×C4×D4—21no—
297C2×C4×D4—21no—
298C2×C4×D4C2311yescharacteristic
299#501—21no—
300#501—21no—
301#501—21no—
302#501—21no—
303#501—21no—
304#501—21no—
305#500C2311yescharacteristic
306#500C2311yescharacteristic
307#500C2311yescharacteristic
308#500C2311yescharacteristic
309#498—21no—
310#498—21no—
311#498C2311yescharacteristic
312#498C2311yescharacteristic
313#498C2311yescharacteristic
314#497—21no—
315#497—21no—
316#497—21no—
317#494C2311yescharacteristic
318#494C2311yescharacteristic
319#493C2311yescharacteristic
320#492C2311yescharacteristic
321#492C2311yescharacteristic
322#492C2311yescharacteristic
323#492C2311yescharacteristic
324#490—21no—
325#490—21no—
326#489—21no—
327#489—21no—
328#489—21no—
329#488—21no—
330#487—21no—
331#487C2311yescharacteristic
332#487C2311yescharacteristic
333#487C2311yescharacteristic
334#487C2311yescharacteristic
335#486—21no—
336#486—21no—
337#486C2311yescharacteristic
338#486C2311yescharacteristic
339#486C2311yescharacteristic
340#486C2311yescharacteristic
341#486C2311yescharacteristic
342#486C2311yescharacteristic
343#484—21no—
344#484—21no—
345#484—21no—
346#484—21no—
347#484—41no—
348#484D411yescharacteristic
349#483—21no—
350#483—21no—
351#482—21no—
352#482—21no—
353#482—21no—
354#481—21no—
355#481—21no—
356#481—21no—
357#481—21no—
358#481—21no—
359#481—21no—
360#481D411yescharacteristic
361#480—21no—
362#480—21no—
363#480—21no—
364#480—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#478—21no—
374#478—21no—
375#478—21no—
376#478—21no—
377#478—21no—
378#478D411yescharacteristic
379#478D411yescharacteristic
380#477—21no—
381#477—21no—
382#477—41no—
383#477C2311yescharacteristic
384#477C2311yescharacteristic
385#477C2311yescharacteristic
386#476—21no—
387#476—21no—
388#476—21no—
389#476—21no—
390#476—21no—
391#476—21no—
392#476—21no—
393#476—21no—
394#476—21no—
395#476C2311yescharacteristic
396#476C2311yescharacteristic
397#476C2311yescharacteristic
398#476C2311yescharacteristic
399#476C2311yescharacteristic
400#475—21no—
401#475—21no—
402#475C2311yescharacteristic
403#475C2311yescharacteristic
404#475C2311yescharacteristic
405#474—21no—
406#474—21no—
407#474—21no—
408#474C2311yescharacteristic
409#474C2311yescharacteristic
410#474C2311yescharacteristic
411#474C2311yescharacteristic
412#474C2311yescharacteristic
413#470—21no—
414#470—21no—
415#470—21no—
416#469—21no—
417#468—21no—
418#468—21no—
419#468—21no—
420#468—21no—
421#468—21no—
422#468—21no—
423#467—21no—
424#467—21no—
425#467—21no—
426#466—21no—
427#466—21no—
428#465—21no—
429#465—21no—
430#465—21no—
431#465—21no—
432#465—21no—
433#464—21no—
434#464—21no—
435#464—21no—
436#463—21no—
437#463—21no—
438#463—21no—
439#463—21no—
440#463—41no—
441#463D411yescharacteristic
442#463D411yescharacteristic
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#461C2311yescharacteristic
454#461C2311yescharacteristic
455#460—21no—
456#460C2311yescharacteristic
457#460C2311yescharacteristic
458#460C2311yescharacteristic
459#460C2311yescharacteristic
460#459—21no—
461#459—21no—
462#459—21no—
463#459C2311yescharacteristic
464#459C2311yescharacteristic
465#459C2311yescharacteristic
466#459C2311yescharacteristic
467#452—21no—
468#452—21no—
469#452—21no—
470#452—21no—
471#452—21no—
472#452—21no—
473#452—21no—
474#451—21no—
475#451—21no—
476#451—21no—
477#451—21no—
478#451—21no—
479#451—21no—
480#451—21no—
481#450—21no—
482#450—21no—
483#450—21no—
484#450D411yescharacteristic
485#449—21no—
486#449—21no—
487#449—41no—
488#448—21no—
489#448—21no—
490#448—21no—
491#448—21no—
492#447—21no—
493#447—21no—
494#447D411yescharacteristic
495#446—21no—
496#446—21no—
497#446C2311yescharacteristic
498#446C2311yescharacteristic
499#446C2311yescharacteristic
500#446C2311yescharacteristic
501#446C2311yescharacteristic
502C8×Q8C2311yescharacteristic
503C8×Q8C2311yescharacteristic
504C8×Q8C2311yescharacteristic
505#442—21no—
506#442—21no—
507#442—21no—
508#442—21no—
509#442—21no—
510#442—21no—
511#442—21no—
512#442—21no—
513#441D411yescharacteristic
514#441D411yescharacteristic
515#440—21no—
516#440—21no—
517#440—21no—
518#440—21no—
519#440—21no—
520#440—21no—
521#440D411yescharacteristic
522#440D411yescharacteristic
523C4×Q16—21no—
524C4×Q16—21no—
525C4×Q16—21no—
526C4×Q16C2311yescharacteristic
527C4×Q16C2311yescharacteristic
528C4×SD16—21no—
529C4×SD16—21no—
530C4×SD16—21no—
531C4×SD16C2311yescharacteristic
532C4×SD16C2311yescharacteristic
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×D8—21no—
536C4×D8—21no—
537C4×D8—21no—
538C4×D8—21no—
539C4×D8C2311yescharacteristic
540C4×D8C2311yescharacteristic
541#436—21no—
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#436C2311yescharacteristic
545#435—21no—
546#435—21no—
547#435—21no—
548#435—21no—
549#435—21no—
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552C8×D4C2311yescharacteristic
553C8×D4C2311yescharacteristic
554C8×D4C2311yescharacteristic
555#433—21no—
556#432—21no—
557#432—21no—
558#432C2311yescharacteristic
559#431—21no—
560#431C2311yescharacteristic
561#431C2311yescharacteristic
562#431C2311yescharacteristic
563#428—21no—
564#428D411yescharacteristic
565C2×#107—21no—
566C2×#107—21no—
567C2×#106—21no—
568#423C2311yescharacteristic
569#423C2311yescharacteristic
570C2×C4⋊C8—21no—
571#419—21no—
572#419D411yescharacteristic
573#418—21no—
574#417—21no—
575#417—21no—
576#417—21no—
577#417D411yescharacteristic
578C2×#102—21no—
579C2×#102—21no—
580#407—21no—
581#405—21no—
582C4×M16C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#335C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#334C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
594#333C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#332C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606#331C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612Q8⋊C8C2311yescharacteristic
613Q8⋊C8C2311yescharacteristic
614Q8⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622D4⋊C8C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625#322C2311yescharacteristic
626C82C2311yescharacteristic
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—41no—
634C2×#41—41no—
635C2×#41—41no—
636C2×#41—44no—
637C2×#41—82no—
638C2×#41C2×D411yescharacteristic
639C22×Q8—21no—
640C22×Q8—21no—
641C22×Q8—21no—
642C22×Q8—21no—
643C22×Q8—21no—
644C22×Q8—21no—
645C22×Q8—41no—
646C22×Q8—41no—
647C22×Q8—41no—
648C22×Q8—44no—
649C22×Q8—82no—
650C22×Q8C2×D411yescharacteristic
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—41no—
654C22×D4C2×D411yescharacteristic
655C23×C4—21no—
656C23×C4—41no—
657C23×C4—41no—
658#137—24no—
659#137—44no—
660#137—44no—
661#137—44no—
662#137—44no—
663#137—44no—
664#137—44no—
665#137—44no—
666#137—82no—
667#135—44no—
668C2×Q16—21no—
669C2×Q16—21no—
670C2×Q16—21no—
671C2×Q16—21no—
672C2×Q16—21no—
673C2×Q16—21no—
674C2×Q16—21no—
675C2×Q16—21no—
676C2×Q16—21no—
677C2×Q16—21no—
678C2×Q16—44no—
679C2×Q16—44no—
680C2×Q16C2×D411yescharacteristic
681C2×Q16C2×D411yescharacteristic
682C2×SD16—21no—
683C2×SD16—21no—
684C2×SD16—21no—
685C2×SD16—21no—
686C2×SD16—21no—
687C2×SD16—21no—
688C2×SD16—21no—
689C2×SD16—21no—
690C2×SD16—21no—
691C2×SD16—21no—
692C2×SD16—21no—
693C2×SD16—21no—
694C2×SD16—41no—
695C2×SD16—44no—
696C2×SD16—44no—
697C2×SD16C2×D411yescharacteristic
698C2×SD16C2×D411yescharacteristic
699C2×SD16C2×D411yescharacteristic
700C2×SD16C2×D411yescharacteristic
701C2×D8—21no—
702C2×D8—21no—
703C2×D8—21no—
704C2×D8—21no—
705C2×D8—41no—
706C2×D8C2×D411yescharacteristic
707C2×D8C2×D411yescharacteristic
708C2×M16—21no—
709C2×M16—21no—
710C2×M16—21no—
711C2×M16—21no—
712C2×M16—21no—
713C2×M16—44no—
714C2×M16C2×D411yescharacteristic
715C2×M16C2×D411yescharacteristic
716C22×C8—21no—
717C22×C8—21no—
718C22×C8—21no—
719C22×C8—21no—
720C22×C8—21no—
721C4⋊Q8—21no—
722C4⋊Q8—21no—
723C4⋊Q8—21no—
724C4⋊Q8—21no—
725C4⋊Q8—21no—
726C4⋊Q8—21no—
727C4⋊Q8—21no—
728C4⋊Q8—21no—
729C4⋊Q8—21no—
730C4⋊Q8—21no—
731C4⋊Q8—21no—
732C4⋊Q8—41no—
733C4⋊Q8—41no—
734C4⋊Q8—41no—
735C4⋊Q8C2411yescharacteristic
736C4⋊Q8C2411yescharacteristic
737C4⋊Q8C2411yescharacteristic
738C4⋊Q8C2411yescharacteristic
739C4⋊Q8C2411yescharacteristic
740C4⋊Q8C2411yescharacteristic
741#127—21no—
742#127—21no—
743#127C2411yescharacteristic
744#127C2411yescharacteristic
745#126—21no—
746#126—41no—
747#126—41no—
748#126—41no—
749#126—41no—
750#125—21no—
751#125—21no—
752#125—21no—
753#125—21no—
754#125—21no—
755#125—41no—
756#125—41no—
757#125—41no—
758#125—41no—
759#125C2×D411yescharacteristic
760#124—21no—
761#124—21no—
762#124—21no—
763#124—21no—
764#124—41no—
765#124—41no—
766#124—41no—
767#124C2×D411yescharacteristic
768#123—21no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773#123—41no—
774#123—41no—
775#123—41no—
776#123—41no—
777#123—41no—
778#123—41no—
779#123—41no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
790C22⋊Q8—21no—
791C22⋊Q8—21no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796C22⋊Q8—41no—
797C22⋊Q8—41no—
798C22⋊Q8—41no—
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⋊Q8C2×D411yescharacteristic
811#121—21no—
812#121—21no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—21no—
817#121—21no—
818#121—21no—
819#121—21no—
820#121—21no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121C2×D411yescharacteristic
828#120—41no—
829#120—41no—
830#120—41no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8—21no—
834C4×Q8—21no—
835C4×Q8—21no—
836C4×Q8—21no—
837C4×Q8—21no—
838C4×Q8—21no—
839C4×Q8C2×D411yescharacteristic
840C4×Q8C2×D411yescharacteristic
841C4×Q8C2×D411yescharacteristic
842C4×Q8C2411yescharacteristic
843C4×Q8C2411yescharacteristic
844C4×Q8C2411yescharacteristic
845C4×Q8C2411yescharacteristic
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—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—21no—
866C4×D4—21no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4—41no—
871C4×D4—41no—
872C4×D4—41no—
873C4×D4—41no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4C2×D411yescharacteristic
878C4×D4C2×D411yescharacteristic
879C4×D4C2×D411yescharacteristic
880C4×D4C2411yescharacteristic
881C4×D4C2411yescharacteristic
882C4×D4C2411yescharacteristic
883C4×D4C2411yescharacteristic
884#117—21no—
885#117—21no—
886#117—21no—
887#117—41no—
888#117—41no—
889#117—41no—
890#117C2×D411yescharacteristic
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—41no—
900C2×C4⋊C4—41no—
901C2×C4⋊C4—41no—
902C2×C4⋊C4—41no—
903C2×C4⋊C4C2×D411yescharacteristic
904C2×C4⋊C4C2×D411yescharacteristic
905C2×C22⋊C4—21no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C42—21no—
909C2×C42—21no—
910C2×C42C2411yescharacteristic
911#107—21no—
912#107—21no—
913#107—21no—
914#107—21no—
915#107—21no—
916#107—21no—
917#107—21no—
918#107—21no—
919#107—21no—
920#107—21no—
921#107—21no—
922#107—21no—
923#107—41no—
924#107—41no—
925#107C2×D411yescharacteristic
926#107C2×D411yescharacteristic
927#107C2×D411yescharacteristic
928#107C2×D411yescharacteristic
929#106—21no—
930#106—21no—
931#106—21no—
932#106—21no—
933#106—21no—
934#106—21no—
935#106—21no—
936#106—21no—
937#106—21no—
938#106—21no—
939#106—21no—
940#106—21no—
941#106—21no—
942#106—21no—
943#106C2×D411yescharacteristic
944#106C2×D411yescharacteristic
945#106C2×D411yescharacteristic
946#106C2×D411yescharacteristic
947C4⋊C8—21no—
948C4⋊C8—21no—
949C4⋊C8—21no—
950C4⋊C8—21no—
951C4⋊C8—21no—
952C4⋊C8—21no—
953C4⋊C8—21no—
954C4⋊C8—21no—
955C4⋊C8—21no—
956C4⋊C8—21no—
957C4⋊C8—21no—
958C4⋊C8C2×D411yescharacteristic
959C4⋊C8C2×D411yescharacteristic
960C4⋊C8C2411yescharacteristic
961C4⋊C8C2411yescharacteristic
962C4⋊C8C2411yescharacteristic
963C4⋊C8C2411yescharacteristic
964C4⋊C8C2411yescharacteristic
965C4⋊C8C2411yescharacteristic
966C4⋊C8C2411yescharacteristic
967C4⋊C8C2411yescharacteristic
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—41no—
985#103—41no—
986#103—41no—
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#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—21no—
1012#102—21no—
1013#102—21no—
1014#102—21no—
1015#102—21no—
1016#102—21no—
1017#102—21no—
1018#102—21no—
1019#102—21no—
1020#102—21no—
1021#102—21no—
1022#102—21no—
1023#102—41no—
1024#102C2×D411yescharacteristic
1025#102C2×D411yescharacteristic
1026#102C2×D411yescharacteristic
1027#102C2×D411yescharacteristic
1028#102C2×D411yescharacteristic
1029#102C2×D411yescharacteristic
1030#102C2×D411yescharacteristic
1031#102C2×D411yescharacteristic
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8—21no—
1040C22⋊C8—21no—
1041C22⋊C8—21no—
1042C22⋊C8—21no—
1043C22⋊C8C2×D411yescharacteristic
1044C22⋊C8C2×D411yescharacteristic
1045#97—21no—
1046#97—21no—
1047#97—21no—
1048#97—21no—
1049#97—21no—
1050#97—21no—
1051#97C2×D411yescharacteristic
1052#97C2×D411yescharacteristic
1053C4×C8—21no—
1054C4×C8—21no—
1055C4×C8—21no—
1056C4×C8—21no—
1057C4×C8C2411yescharacteristic
1058C4×C8C2411yescharacteristic
1059C4×C8C2411yescharacteristic
1060C4×C8C2411yescharacteristic
1061C4×C8C2411yescharacteristic
1062C4×C8C2411yescharacteristic
1063C24—21no—
1064C24—41no—
1065#41—22no—
1066#41—41no—
1067#41—42no—
1068#41—42no—
1069#41—42no—
1070#41—42no—
1071#41—42no—
1072#41—42no—
1073#41—84no—
1074#41—81no—
1075#41—81no—
1076#41—81no—
1077#41—81no—
1078#41—84no—
1079#41—162no—
1080#41—161no—
1081C2×Q8—21no—
1082C2×Q8—22no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—41no—
1092C2×Q8—41no—
1093C2×Q8—41no—
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×Q8—42no—
1097C2×Q8—42no—
1098C2×Q8—41no—
1099C2×Q8—42no—
1100C2×Q8—42no—
1101C2×Q8—42no—
1102C2×Q8—42no—
1103C2×Q8—42no—
1104C2×Q8—84no—
1105C2×Q8—81no—
1106C2×Q8—81no—
1107C2×Q8—81no—
1108C2×Q8—81no—
1109C2×Q8—81no—
1110C2×Q8—84no—
1111C2×Q8—84no—
1112C2×Q8C22×D411yescharacteristic
1113C2×Q8C22×D411yescharacteristic
1114C2×Q8C22×D411yescharacteristic
1115C2×Q8C22×D411yescharacteristic
1116C2×D4—22no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—21no—
1120C2×D4—21no—
1121C2×D4—21no—
1122C2×D4—21no—
1123C2×D4—21no—
1124C2×D4—21no—
1125C2×D4—21no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—84no—
1142C2×D4C22×D411yescharacteristic
1143C2×D4C22×D411yescharacteristic
1144C2×D4C22×D411yescharacteristic
1145C2×D4C22×D411yescharacteristic
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—84no—
1176C22×C4—84no—
1177C22×C4C22×D411yescharacteristic
1178C22×C4C22×D411yescharacteristic
1179C22×C4H(5,𝔽2)11yescharacteristic
1180Q16—22no—
1181Q16—22no—
1182Q16—42no—
1183Q16—42no—
1184Q16—42no—
1185Q16—42no—
1186Q16—42no—
1187Q16—42no—
1188Q16—42no—
1189Q16—81no—
1190Q16—81no—
1191Q16—81no—
1192SD16—22no—
1193SD16—22no—
1194SD16—41no—
1195SD16—42no—
1196SD16—42no—
1197SD16—42no—
1198SD16—42no—
1199SD16—42no—
1200SD16—42no—
1201SD16—42no—
1202SD16—81no—
1203SD16—81no—
1204SD16—81no—
1205SD16—81no—
1206SD16—81no—
1207SD16—161no—
1208SD16AGL(1,ℤ/8)14yes—
1209D8—22no—
1210D8—41no—
1211D8—42no—
1212D8—42no—
1213D8—42no—
1214D8—81no—
1215D8—161no—
1216M16—22no—
1217M16—41no—
1218M16—42no—
1219M16—42no—
1220M16—42no—
1221M16—81no—
1222M16—81no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—42no—
1234C2×C8—42no—
1235C2×C8—42no—
1236C2×C8—81no—
1237C2×C8—81no—
1238C2×C8C22×D411yescharacteristic
1239C2×C8C22×D411yescharacteristic
1240C2×C8C22×D411yescharacteristic
1241C2×C8C22×D411yescharacteristic
1242C2×C8C22×D411yescharacteristic
1243C2×C8C22×D411yescharacteristic
1244C2×C8C22×D411yescharacteristic
1245C2×C8C22×D411yescharacteristic
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4C22×D411yescharacteristic
1293C4⋊C4C22×D411yescharacteristic
1294C4⋊C4C22×D411yescharacteristic
1295C4⋊C4C22×D411yescharacteristic
1296C4⋊C4C22×D411yescharacteristic
1297C4⋊C4C22×D411yescharacteristic
1298C4⋊C4C22×D411yescharacteristic
1299C4⋊C4C22×D411yescharacteristic
1300C22⋊C4—21no—
1301C22⋊C4—21no—
1302C22⋊C4—21no—
1303C22⋊C4—21no—
1304C22⋊C4—21no—
1305C22⋊C4—21no—
1306C22⋊C4—21no—
1307C22⋊C4—21no—
1308C22⋊C4—21no—
1309C22⋊C4—21no—
1310C22⋊C4—21no—
1311C22⋊C4—21no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C42—21no—
1334C42—21no—
1335C42—21no—
1336C42—21no—
1337C42—21no—
1338C42—21no—
1339C42—21no—
1340C42—21no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C42C22×D411yescharacteristic
1345C42C22×D411yescharacteristic
1346C42H(5,𝔽2)11yescharacteristic
1347C42C2511yescharacteristic
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—42no—
1353C23—42no—
1354C23—41no—
1355C23—41no—
1356C23—81no—
1357C23—82no—
1358C23—82no—
1359C23—161no—
1360C23D4211yescharacteristic
1361Q8—21no—
1362Q8—21no—
1363Q8—21no—
1364Q8—21no—
1365Q8—21no—
1366Q8—21no—
1367Q8—21no—
1368Q8—42no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—41no—
1373Q8—41no—
1374Q8—41no—
1375Q8—41no—
1376Q8—41no—
1377Q8—82no—
1378Q8—82no—
1379Q8—81no—
1380Q8—81no—
1381Q8—82no—
1382Q8—82no—
1383Q8—82no—
1384Q8—82no—
1385Q8—161no—
1386Q8C2×AGL(1,ℤ/8)12yes—
1387D4—21no—
1388D4—21no—
1389D4—21no—
1390D4—21no—
1391D4—21no—
1392D4—21no—
1393D4—42no—
1394D4—42no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—82no—
1404D4—81no—
1405D4—81no—
1406D4—81no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—161no—
1415D4—161no—
1416D4C2×AGL(1,ℤ/8)12yes—
1417D4#57812yes—
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—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—41no—
1435C2×C4—42no—
1436C2×C4—42no—
1437C2×C4—42no—
1438C2×C4—42no—
1439C2×C4—42no—
1440C2×C4—42no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—81no—
1456C2×C4—82no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—82no—
1460C2×C4—82no—
1461C2×C4—82no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—161no—
1468C2×C4—161no—
1469C2×C4—161no—
1470C2×C4—161no—
1471C2×C4—161no—
1472C2×C4D4211yescharacteristic
1473C2×C4D4211yescharacteristic
1474C2×C4D4211yescharacteristic
1475C2×C4C23×D411yescharacteristic
1476C2×C4C23×D411yescharacteristic
1477C2×C4C2×H(5,𝔽2)11yescharacteristic
1478C8—21no—
1479C8—21no—
1480C8—21no—
1481C8—21no—
1482C8—21no—
1483C8—21no—
1484C8—21no—
1485C8—41no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C8C2×AGL(1,ℤ/8)12yes—
1496C22—21no—
1497C22—22no—
1498C22—21no—
1499C22—22no—
1500C22—21no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—84no—
1512C22—81no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—164no—
1519C22C2×D4211yescharacteristic
1520C4—21no—
1521C4—22no—
1522C4—21no—
1523C4—21no—
1524C4—21no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—81no—
1537C4—81no—
1538C4—81no—
1539C4—81no—
1540C4—81no—
1541C4—81no—
1542C4C22×AGL(1,ℤ/8)11yescharacteristic
1543C4C2×#57811yescharacteristic
1544C4#358511yescharacteristic
1545C4#358611yescharacteristic
1546C2—41no—
1547C2—42no—
1548C2—42no—
1549C2—81no—
1550C2—81no—
1551C2—161no—
1552C2—161no—
1553C2D4×AGL(1,ℤ/8)11yescharacteristic
1554C2#6107611yescharacteristic
1555C2#6110711yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C2×C42 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #62137C2semidirect
2. #61843C2semidirect
3. #61542C2semidirect
4. D4×#137C2semidirect
5. #20312C2semidirect
6. #20211C2semidirect
7. #20208C2semidirect
8. #20173C2semidirect
9. #20165C2semidirect
10. #20087C2semidirect
11. #20083C2semidirect
12. #20061C2semidirect
13. #20038C2semidirect
14. #19970C2semidirect
15. #19926C2semidirect
16. #19895C2semidirect
17. #19812C2semidirect
18. #19789C2semidirect
19. #19765C2semidirect
20. #19760C2semidirect
21. #19725C2semidirect
22. #19489C2semidirect
23. #19479C2semidirect
24. #19377C2semidirect
25. #19305C2semidirect
26. #18844C2semidirect
27. #18812C2semidirect
28. #18794C2semidirect
29. #18759C2semidirect
30. #18051C2semidirect
31. #18006C2semidirect
33. #3522C22semidirect
37. #3400C22semidirect
39. #3385C22semidirect
44. #3384C22semidirect
46. Q8×SD16C22semidirect
50. #3373C22semidirect
53. #3363C22semidirect
54. #3361C22semidirect
56. #3358C22semidirect
60. #3338C22semidirect
63. #3333C22semidirect
64. #3331C22semidirect
73. #3284C22semidirect
88. #3239C22semidirect
90. #3230C22semidirect
93. #3227C22semidirect
95. #3182C22semidirect
106. #3104C22semidirect
115. #2984C22semidirect
116. #2969C22semidirect
120. #1723C22semidirect
121. #1722C22semidirect
122. #1720C22semidirect
123. #1717C22semidirect
124. #1714C22semidirect
125. #1714C22semidirect
126. #1707C22semidirect
127. #1706C22semidirect
128. #1703C22semidirect
129. #1702C22semidirect
130. #1702C22semidirect
131. #1702C22semidirect
132. #1698C22semidirect
133. #1697C22semidirect
134. #1695C22semidirect
135. #1694C22semidirect
136. #1692C22semidirect
137. #1692C22semidirect
138. #1692C22semidirect
139. #1690C22semidirect
140. #1689C22semidirect
141. #1686C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
145. #1682C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1678C22semidirect
151. #1674C22semidirect
152. #1672C22semidirect
153. #1671C22semidirect
154. #1671C22semidirect
155. #1670C22semidirect
156. #1669C22semidirect
157. #1666C22semidirect
159. #1665C22semidirect
162. #1649C22semidirect
163. #1649C22semidirect
164. #1648C22semidirect
165. #1648C22semidirect
166. #1647C22semidirect
167. #1647C22semidirect
168. #1645C22semidirect
169. #1644C22semidirect
170. #1644C22semidirect
171. #1644C22semidirect
172. #1643C22semidirect
173. #1643C22semidirect
174. #1641C22semidirect
175. #1640C22semidirect
179. #1637C22semidirect
180. #1637C22semidirect
186. #1623C22semidirect
187. #1622C22semidirect
189. #1621C22semidirect
190. #1620C22semidirect
192. #1594C22semidirect
193. #1593C22semidirect
194. #1591C22semidirect
195. #1590C22semidirect
196. #1588C22semidirect
197. #1587C22semidirect
199. #1585C22semidirect
200. #1584C22semidirect
202. #1582C22semidirect
203. #1581C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
208. #1574C22semidirect
209. #1569C22semidirect
210. #1560C22semidirect
211. #1559C22semidirect
213. #1549C22semidirect
214. #1495C22semidirect
216. #1487C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621372
#618432
#615422
D4×#1372
#203122
#202112
#202082
#201732
#201652
#200872
#200832
#200612
#200382
#199702
#199262
#198952
#198122
#197892
#197652
#197602
#197252
#194892
#194792
#193772
#193052
#188442
#188122
#187942
#187592
#180512
#180062