Finite Group Databasebeta

← #6369300

Subgroups — #6369300

Order 512.

1594 conjugacy classes of subgroups.

The subgroup lattice has 1519 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62137C211yesmaximal, characteristic, complemented
2#61899C211yesmaximal, characteristic, complemented
3#61542C211yesmaximal, characteristic, complemented
4#61165C211yesmaximal, characteristic, complemented
5#20307C211yesmaximal, characteristic, complemented
6#20274C211yesmaximal, characteristic, complemented
7#20268C211yesmaximal, characteristic, complemented
8#20214C211yesmaximal, characteristic, complemented
9#20177C211yesmaximal, characteristic, complemented
10#20141C211yesmaximal, characteristic, complemented
11#20093C211yesmaximal, characteristic, complemented
12#20057C211yesmaximal, characteristic, complemented
13#20044C211yesmaximal, characteristic, complemented
14#19999C211yesmaximal, characteristic, complemented
15#19939C211yesmaximal, characteristic, complemented
16#19901C211yesmaximal, characteristic, complemented
17#19851C211yesmaximal, characteristic, complemented
18#19840C211yesmaximal, characteristic, complemented
19#19825C211yesmaximal, characteristic, complemented
20#19778C211yesmaximal, characteristic, complemented
21#19718C211yesmaximal, characteristic, complemented
22#19482C211yesmaximal, characteristic, complemented
23#19479C211yesmaximal, characteristic, complemented
24#19383C211yesmaximal, characteristic, complemented
25#19305C211yesmaximal, characteristic, complemented
26#18845C211yesmaximal, characteristic, complemented
27#18812C211yesmaximal, characteristic, complemented
28#18794C211yesmaximal, characteristic, complemented
29#18781C211yesmaximal, characteristic, complemented
30#18051C211yesmaximal, characteristic, complemented
31#18008C211yesmaximal, characteristic, complemented
32#3522C2211yescharacteristic, complemented
33#3515C2211yescharacteristic
34C2×#556C2211yescharacteristic
35D4×#41C2211yescharacteristic
36#3401—21no—
37#3401—21no—
38#3400C2211yescharacteristic, complemented
39#3397C2211yescharacteristic
40#3397C2211yescharacteristic, complemented
41#3394C2211yescharacteristic
42#3394C2211yescharacteristic, complemented
43#3386C2211yescharacteristic
44#3385C2211yescharacteristic, complemented
45#3384C2211yescharacteristic
46#3376—21no—
47#3376—21no—
48#3369C2211yescharacteristic
49#3369C2211yescharacteristic, complemented
50#3368C2211yescharacteristic
51#3366C2211yescharacteristic
52#3363C2211yescharacteristic, complemented
53#3361C2211yescharacteristic, complemented
54#3360C2211yescharacteristic
55#3360C2211yescharacteristic, complemented
56#3345—21no—
57#3343—21no—
58#3343—21no—
59#3338C2211yescharacteristic, complemented
60#3335C2211yescharacteristic
61#3334C2211yescharacteristic
62#3333C2211yescharacteristic, complemented
63#3331C2211yescharacteristic, complemented
64#3330—21no—
65#3328C2211yescharacteristic
66#3328C2211yescharacteristic
67#3327—21no—
68#3324C2211yescharacteristic
69#3324C2211yescharacteristic
70#3318—21no—
71#3313—21no—
72#3313—21no—
73#3311—21no—
74#3311—21no—
75#3310—21no—
76#3304C2211yescharacteristic
77#3304C2211yescharacteristic
78#3302C2211yescharacteristic
79#3302C2211yescharacteristic
80#3295C2211yescharacteristic
81#3294C2211yescharacteristic
82#3284C2211yescharacteristic, complemented
83#3269—21no—
84#3251C2211yescharacteristic
85#3247—21no—
86#3234—21no—
87#3229C2211yescharacteristic, complemented
88#3228C2211yescharacteristic
89#3218C2211yescharacteristic, complemented
90#3213—21no—
91#3211—21no—
92#3207C2211yescharacteristic
93#3206C2211yescharacteristic, complemented
94#3182C2211yescharacteristic, complemented
95#3178—21no—
96#3141C2211yescharacteristic
97#3124—21no—
98#3120—21no—
99#3117—21no—
100#3114—21no—
101#3109C2211yescharacteristic
102#3106C2211yescharacteristic
103#3105C2211yescharacteristic
104#3104C2211yescharacteristic, complemented
105#3103—21no—
106#3093—21no—
107#3079C2211yescharacteristic
108#3077C2211yescharacteristic
109C2×#478—21no—
110#3056—21no—
111#3037C2211yescharacteristic
112#3007—21no—
113#2990C2211yescharacteristic
114#2984C2211yescharacteristic, complemented
115#2969C2211yescharacteristic, complemented
116#2951—21no—
117C4×#137C2211yescharacteristic
118D4×M16C2211yescharacteristic
119#2896—21no—
120#1719C2211yescharacteristic, complemented
121#1718C2211yescharacteristic, complemented
122#1718C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1715C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1708C2211yescharacteristic, complemented
127#1708C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1704C2211yescharacteristic, complemented
130#1703C2211yescharacteristic
131#1702C2211yescharacteristic, complemented
132#1702C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1698C2211yescharacteristic, complemented
137#1697C2211yescharacteristic
138#1695C2211yescharacteristic
139#1694C2211yescharacteristic, complemented
140#1692C2211yescharacteristic, complemented
141#1686C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic
144#1683C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1683C2211yescharacteristic, complemented
147#1682C2211yescharacteristic, complemented
148#1682C2211yescharacteristic, complemented
149#1681C2211yescharacteristic, complemented
150#1680C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1678C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1675C2211yescharacteristic, complemented
155#1674C2211yescharacteristic, complemented
156#1672C2211yescharacteristic, complemented
157#1665C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1654C2211yescharacteristic, complemented
162#1653C2211yescharacteristic, complemented
163#1653C2211yescharacteristic, complemented
164#1652C2211yescharacteristic
165#1652C2211yescharacteristic
166#1652C2211yescharacteristic, complemented
167#1652C2211yescharacteristic, 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#1638C2211yescharacteristic
177#1638C2211yescharacteristic
178#1638C2211yescharacteristic, complemented
179#1638C2211yescharacteristic, complemented
180#1637C2211yescharacteristic
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#1593C2211yescharacteristic, complemented
193#1592C2211yescharacteristic
194#1591C2211yescharacteristic, complemented
195#1589C2211yescharacteristic
196#1587C2211yescharacteristic, complemented
197#1586C2211yescharacteristic
198#1585C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1584C2211yescharacteristic, complemented
201#1583C2211yescharacteristic
202#1582C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×SD16C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1560C2211yescharacteristic, complemented
211#1559C2211yescharacteristic, complemented
212#1553C2211yescharacteristic
213#1546C2211yescharacteristic, complemented
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic
216#1487C2211yescharacteristic, complemented
217#1478C2211yescharacteristic
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—21no—
221C2×#137D411yescharacteristic
222C2×#135—21no—
223C22×M16—21no—
224#559—21no—
225#559C2311yescharacteristic
226Q82C2311yescharacteristic
227#557C2311yescharacteristic
228#556—21no—
229#556—21no—
230#556—21no—
231#556—21no—
232#556—41no—
233#556C2311yescharacteristic
234#556C2311yescharacteristic
235#556C2311yescharacteristic
236#556C2311yescharacteristic
237#554—21no—
238#554C2311yescharacteristic
239#554C2311yescharacteristic
240#554C2311yescharacteristic
241#553—21no—
242#552—21no—
243#552—21no—
244#552—41no—
245#550C2311yescharacteristic
246#550C2311yescharacteristic
247D4×Q8C2311yescharacteristic
248#548—21no—
249#548—21no—
250#547—21no—
251#547—21no—
252#547—21no—
253#547—41no—
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#546—21no—
257#546—41no—
258D42—21no—
259D42C2311yescharacteristic
260#542—21no—
261#542—41no—
262#541—21no—
263#539—41no—
264#533C2311yescharacteristic
265#532—21no—
266#532—21no—
267#532C2311yescharacteristic
268#532C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270#529—21no—
271#529—21no—
272#529C2311yescharacteristic
273C2×#126—41no—
274C2×#125—21no—
275C2×#124—21no—
276#525—21no—
277#525—41no—
278C2×C22⋊Q8—21no—
279#520—21no—
280#520—21no—
281C4×#41C2311yescharacteristic
282C2×C4×Q8—21no—
283C2×C4×Q8C2311yescharacteristic
284C2×C4×D4—21no—
285C2×C4×D4C2311yescharacteristic
286C2×#117—21no—
287#501—21no—
288#501—21no—
289#501—21no—
290#500C2311yescharacteristic
291#500C2311yescharacteristic
292#498C2311yescharacteristic
293#498C2311yescharacteristic
294#498C2311yescharacteristic
295#497—21no—
296#497—21no—
297#496—21no—
298#496—21no—
299#495—21no—
300#495—21no—
301#493C2311yescharacteristic
302#492C2311yescharacteristic
303#492C2311yescharacteristic
304#492C2311yescharacteristic
305#492C2311yescharacteristic
306#491—21no—
307#490—21no—
308#490—21no—
309#489—21no—
310#489—21no—
311#489—21no—
312#489—21no—
313#488—21no—
314#488—21no—
315#488—21no—
316#487—21no—
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#485—21no—
332#485—21no—
333#485—21no—
334#485—21no—
335#484—21no—
336#484—21no—
337#484—21no—
338#484D411yescharacteristic
339#483—21no—
340#483—21no—
341#483—41no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#481—21no—
350#481—21no—
351#481—21no—
352#481D411yescharacteristic
353#480—21no—
354#480—21no—
355#480—21no—
356#480—21no—
357#479—21no—
358#479—21no—
359#479—21no—
360#478—21no—
361#478—21no—
362#478—21no—
363#478—21no—
364#478—21no—
365#478—21no—
366#478—21no—
367#478—21no—
368#478—21no—
369#478—21no—
370#478D411yescharacteristic
371#478D411yescharacteristic
372#477—21no—
373#477—21no—
374#477—21no—
375#477C2311yescharacteristic
376#477C2311yescharacteristic
377#477C2311yescharacteristic
378#476—21no—
379#476—21no—
380#476C2311yescharacteristic
381#476C2311yescharacteristic
382#476C2311yescharacteristic
383#476C2311yescharacteristic
384#476C2311yescharacteristic
385#475—21no—
386#475—21no—
387#475—41no—
388#475C2311yescharacteristic
389#475C2311yescharacteristic
390#475C2311yescharacteristic
391#474—21no—
392#474C2311yescharacteristic
393#474C2311yescharacteristic
394#474C2311yescharacteristic
395#474C2311yescharacteristic
396#474C2311yescharacteristic
397#470—21no—
398#470—21no—
399#470—21no—
400#469—21no—
401#468—21no—
402#468—21no—
403#468—21no—
404#468—21no—
405#468—21no—
406#468—21no—
407#467—21no—
408#467—21no—
409#467—21no—
410#466—21no—
411#466—21no—
412#465—21no—
413#465—21no—
414#465—21no—
415#465—21no—
416#465—21no—
417#464—21no—
418#464—21no—
419#464—21no—
420#464—21no—
421#464—21no—
422#464—21no—
423#464—21no—
424#463—21no—
425#463—21no—
426#463—21no—
427#463—21no—
428#463—21no—
429#463—21no—
430#463—21no—
431#463—21no—
432#463—41no—
433#463D411yescharacteristic
434#463D411yescharacteristic
435#462—21no—
436#462C2311yescharacteristic
437#462C2311yescharacteristic
438#462C2311yescharacteristic
439#462C2311yescharacteristic
440#462C2311yescharacteristic
441#462C2311yescharacteristic
442#461—21no—
443#461—21no—
444#461—21no—
445#461C2311yescharacteristic
446#461C2311yescharacteristic
447#460—21no—
448#460—21no—
449#460—21no—
450#460C2311yescharacteristic
451#460C2311yescharacteristic
452#460C2311yescharacteristic
453#460C2311yescharacteristic
454#459—21no—
455#459C2311yescharacteristic
456#459C2311yescharacteristic
457#459C2311yescharacteristic
458#459C2311yescharacteristic
459#452—21no—
460#452—21no—
461#452—21no—
462#452—21no—
463#452—21no—
464#452—21no—
465#452—21no—
466#451—21no—
467#451—21no—
468#451—21no—
469#451—21no—
470#450—21no—
471#450—21no—
472#450—21no—
473#450D411yescharacteristic
474#449—21no—
475#449—21no—
476#449—41no—
477#448—21no—
478#448—21no—
479#448—21no—
480#447—21no—
481#447—21no—
482#447D411yescharacteristic
483#446—21no—
484#446—21no—
485#446C2311yescharacteristic
486#446C2311yescharacteristic
487#446C2311yescharacteristic
488#446C2311yescharacteristic
489#446C2311yescharacteristic
490C8×Q8C2311yescharacteristic
491C8×Q8C2311yescharacteristic
492C8×Q8C2311yescharacteristic
493#442—21no—
494#442—21no—
495#442—21no—
496#442—21no—
497#441—21no—
498#441—21no—
499#441D411yescharacteristic
500#441D411yescharacteristic
501#440—21no—
502#440—21no—
503#440—21no—
504#440—21no—
505#440—21no—
506#440—21no—
507#440—21no—
508#440—21no—
509#440D411yescharacteristic
510#440D411yescharacteristic
511C4×Q16—21no—
512C4×Q16—21no—
513C4×Q16—21no—
514C4×Q16C2311yescharacteristic
515C4×Q16C2311yescharacteristic
516C4×SD16—21no—
517C4×SD16—21no—
518C4×SD16—21no—
519C4×SD16—21no—
520C4×SD16—21no—
521C4×SD16C2311yescharacteristic
522C4×SD16C2311yescharacteristic
523C4×SD16C2311yescharacteristic
524C4×SD16C2311yescharacteristic
525C4×D8—21no—
526C4×D8—21no—
527C4×D8C2311yescharacteristic
528C4×D8C2311yescharacteristic
529#436—21no—
530#436C2311yescharacteristic
531#436C2311yescharacteristic
532#436C2311yescharacteristic
533#435—21no—
534#435—21no—
535#435—21no—
536#435—21no—
537#435—21no—
538C8×D4C2311yescharacteristic
539C8×D4C2311yescharacteristic
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic
542C8×D4C2311yescharacteristic
543#433—21no—
544#432—21no—
545#432—21no—
546#432C2311yescharacteristic
547#431—21no—
548#431C2311yescharacteristic
549#431C2311yescharacteristic
550#431C2311yescharacteristic
551#428—21no—
552#428—21no—
553#428D411yescharacteristic
554C2×#107—21no—
555C2×#107—21no—
556C2×#106—21no—
557#423C2311yescharacteristic
558#423C2311yescharacteristic
559C2×C4⋊C8—21no—
560#419—21no—
561#419—21no—
562#419D411yescharacteristic
563#418—21no—
564#418—21no—
565#418—21no—
566#417—21no—
567#417—21no—
568#417—21no—
569#417—21no—
570#417—21no—
571#417—21no—
572#417D411yescharacteristic
573#416—21no—
574#416—21no—
575#416—21no—
576#416—21no—
577C2×#102—21no—
578C2×#102—21no—
579#407—21no—
580#405—21no—
581C4×M16C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612Q8⋊C8C2311yescharacteristic
613Q8⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625C82C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—41no—
633C2×#41—41no—
634C2×#41—41no—
635C2×#41—44no—
636C2×#41—82no—
637C2×#41C2×D411yescharacteristic
638C22×Q8—21no—
639C22×Q8—21no—
640C22×Q8C2×D411yescharacteristic
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—41no—
644C22×D4C2×D411yescharacteristic
645C23×C4—21no—
646C23×C4—41no—
647#137—42no—
648#137—82no—
649#135—44no—
650C2×Q16—21no—
651C2×Q16—21no—
652C2×Q16—21no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16—21no—
656C2×Q16C2×D411yescharacteristic
657C2×Q16C2×D411yescharacteristic
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—41no—
671C2×SD16C2×D411yescharacteristic
672C2×SD16C2×D411yescharacteristic
673C2×SD16C2×D411yescharacteristic
674C2×SD16C2×D411yescharacteristic
675C2×D8—21no—
676C2×D8—21no—
677C2×D8—21no—
678C2×D8—21no—
679C2×D8—41no—
680C2×D8C2×D411yescharacteristic
681C2×D8C2×D411yescharacteristic
682C2×M16—21no—
683C2×M16—21no—
684C2×M16—21no—
685C2×M16—21no—
686C2×M16—21no—
687C2×M16—82no—
688C2×M16C2×D411yescharacteristic
689C2×M16C2×D411yescharacteristic
690C22×C8—21no—
691C22×C8—21no—
692C22×C8—21no—
693C22×C8—21no—
694C22×C8—21no—
695C4⋊Q8—21no—
696C4⋊Q8—21no—
697C4⋊Q8—21no—
698C4⋊Q8—21no—
699C4⋊Q8—21no—
700C4⋊Q8—21no—
701C4⋊Q8—21no—
702C4⋊Q8—41no—
703C4⋊Q8C2411yescharacteristic
704C4⋊Q8C2411yescharacteristic
705C4⋊Q8C2411yescharacteristic
706C4⋊Q8C2411yescharacteristic
707C4⋊Q8C2411yescharacteristic
708C4⋊Q8C2411yescharacteristic
709#127—21no—
710#127—21no—
711#127C2411yescharacteristic
712#127C2411yescharacteristic
713#126—21no—
714#126—41no—
715#126—41no—
716#126—41no—
717#126—41no—
718#126—41no—
719#126—41no—
720#126—41no—
721#126—41no—
722#126—41no—
723#126—41no—
724#126—41no—
725#126—41no—
726#125—21no—
727#125—21no—
728#125—21no—
729#125—21no—
730#125—21no—
731#125—41no—
732#125—41no—
733#125—41no—
734#125—41no—
735#125C2×D411yescharacteristic
736#124—21no—
737#124—21no—
738#124—21no—
739#124—21no—
740#124—21no—
741#124—21no—
742#124—21no—
743#124—21no—
744#124—41no—
745#124—41no—
746#124—41no—
747#124—41no—
748#124—41no—
749#124C2×D411yescharacteristic
750#123—21no—
751#123—41no—
752#123—41no—
753#123—41no—
754#123—41no—
755#123—41no—
756#123—41no—
757#123—41no—
758#123—41no—
759#123—41no—
760#123—41no—
761#123—41no—
762C22⋊Q8—21no—
763C22⋊Q8—21no—
764C22⋊Q8—21no—
765C22⋊Q8—21no—
766C22⋊Q8—21no—
767C22⋊Q8—21no—
768C22⋊Q8—21no—
769C22⋊Q8—21no—
770C22⋊Q8—21no—
771C22⋊Q8—21no—
772C22⋊Q8—21no—
773C22⋊Q8—21no—
774C22⋊Q8—41no—
775C22⋊Q8—41no—
776C22⋊Q8—41no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8C2×D411yescharacteristic
785#121—21no—
786#121—21no—
787#121—21no—
788#121—21no—
789#121—21no—
790#121—21no—
791#121—21no—
792#121—21no—
793#121—21no—
794#121—21no—
795#121—41no—
796#121—41no—
797#121—41no—
798#121—41no—
799#121—41no—
800#121—41no—
801#121C2×D411yescharacteristic
802#120—41no—
803#120—41no—
804#120—41no—
805C4×Q8—21no—
806C4×Q8—21no—
807C4×Q8—21no—
808C4×Q8—21no—
809C4×Q8—21no—
810C4×Q8—21no—
811C4×Q8—21no—
812C4×Q8—21no—
813C4×Q8—21no—
814C4×Q8—21no—
815C4×Q8—21no—
816C4×Q8—21no—
817C4×Q8—41no—
818C4×Q8—41no—
819C4×Q8C2×D411yescharacteristic
820C4×Q8C2×D411yescharacteristic
821C4×Q8C2×D411yescharacteristic
822C4×Q8C2411yescharacteristic
823C4×Q8C2411yescharacteristic
824C4×Q8C2411yescharacteristic
825C4×Q8C2411yescharacteristic
826C4×D4—21no—
827C4×D4—21no—
828C4×D4—21no—
829C4×D4—21no—
830C4×D4—21no—
831C4×D4—21no—
832C4×D4—21no—
833C4×D4—21no—
834C4×D4—21no—
835C4×D4—21no—
836C4×D4—21no—
837C4×D4—21no—
838C4×D4—21no—
839C4×D4—21no—
840C4×D4—21no—
841C4×D4—21no—
842C4×D4—21no—
843C4×D4—41no—
844C4×D4—41no—
845C4×D4—41no—
846C4×D4—41no—
847C4×D4—41no—
848C4×D4—41no—
849C4×D4—41no—
850C4×D4—41no—
851C4×D4C2×D411yescharacteristic
852C4×D4C2×D411yescharacteristic
853C4×D4C2×D411yescharacteristic
854C4×D4C2411yescharacteristic
855C4×D4C2411yescharacteristic
856C4×D4C2411yescharacteristic
857C4×D4C2411yescharacteristic
858#117—21no—
859#117—21no—
860#117—21no—
861#117—21no—
862#117—21no—
863#117—21no—
864#117—21no—
865#117—41no—
866#117—41no—
867#117—41no—
868#117—41no—
869#117—41no—
870#117C2×D411yescharacteristic
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—41no—
880C2×C4⋊C4—41no—
881C2×C4⋊C4—41no—
882C2×C4⋊C4—41no—
883C2×C4⋊C4C2×D411yescharacteristic
884C2×C4⋊C4C2×D411yescharacteristic
885C2×C22⋊C4—21no—
886C2×C22⋊C4—41no—
887C2×C22⋊C4—41no—
888C2×C22⋊C4—41no—
889C2×C42—21no—
890C2×C42—21no—
891C2×C42—41no—
892C2×C42C2411yescharacteristic
893#107—21no—
894#107—21no—
895#107—21no—
896#107—21no—
897#107—21no—
898#107—21no—
899#107—21no—
900#107—21no—
901#107—21no—
902#107—21no—
903#107—21no—
904#107—21no—
905#107C2×D411yescharacteristic
906#107C2×D411yescharacteristic
907#107C2×D411yescharacteristic
908#107C2×D411yescharacteristic
909#106—21no—
910#106—21no—
911#106—21no—
912#106—21no—
913#106—21no—
914#106—21no—
915#106—21no—
916#106—21no—
917#106—21no—
918#106—21no—
919#106—41no—
920#106—41no—
921#106C2×D411yescharacteristic
922#106C2×D411yescharacteristic
923#106C2×D411yescharacteristic
924#106C2×D411yescharacteristic
925C4⋊C8—21no—
926C4⋊C8—21no—
927C4⋊C8—21no—
928C4⋊C8—21no—
929C4⋊C8—21no—
930C4⋊C8—21no—
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8C2×D411yescharacteristic
937C4⋊C8C2×D411yescharacteristic
938C4⋊C8C2411yescharacteristic
939C4⋊C8C2411yescharacteristic
940C4⋊C8C2411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946#103—21no—
947#103—21no—
948#103—21no—
949#103—21no—
950#103—21no—
951#103—21no—
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—41no—
971#103—41no—
972#103—41no—
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
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—41no—
1010#102C2×D411yescharacteristic
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018C22⋊C8—21no—
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
1031#97—21no—
1032#97—21no—
1033#97—21no—
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97C2×D411yescharacteristic
1038#97C2×D411yescharacteristic
1039C4×C8—21no—
1040C4×C8—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8C2411yescharacteristic
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C24—21no—
1050C24—41no—
1051#41—22no—
1052#41—41no—
1053#41—42no—
1054#41—42no—
1055#41—42no—
1056#41—42no—
1057#41—42no—
1058#41—42no—
1059#41—84no—
1060#41—81no—
1061#41—81no—
1062#41—81no—
1063#41—81no—
1064#41—84no—
1065#41—162no—
1066#41—161no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—41no—
1075C2×Q8—41no—
1076C2×Q8—41no—
1077C2×Q8—41no—
1078C2×Q8—41no—
1079C2×Q8—42no—
1080C2×Q8—81no—
1081C2×Q8—81no—
1082C2×Q8—81no—
1083C2×Q8C22×D411yescharacteristic
1084C2×Q8C22×D411yescharacteristic
1085C2×Q8C22×D411yescharacteristic
1086C2×Q8C22×D411yescharacteristic
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—42no—
1105C2×D4—42no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—84no—
1113C2×D4C22×D411yescharacteristic
1114C2×D4C22×D411yescharacteristic
1115C2×D4C22×D411yescharacteristic
1116C2×D4C22×D411yescharacteristic
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—84no—
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D411yescharacteristic
1145C22×C4H(5,𝔽2)11yescharacteristic
1146Q16—41no—
1147Q16—41no—
1148Q16—42no—
1149Q16—81no—
1150Q16—81no—
1151Q16—81no—
1152Q16—81no—
1153Q16—81no—
1154SD16—22no—
1155SD16—22no—
1156SD16—41no—
1157SD16—41no—
1158SD16—42no—
1159SD16—81no—
1160SD16—81no—
1161SD16—81no—
1162SD16—81no—
1163SD16—81no—
1164SD16—81no—
1165SD16—81no—
1166SD16—81no—
1167SD16—81no—
1168SD16—81no—
1169SD16—81no—
1170SD16—161no—
1171D8—41no—
1172D8—41no—
1173D8—42no—
1174D8—81no—
1175D8—81no—
1176D8—81no—
1177D8—161no—
1178M16—41no—
1179M16—41no—
1180M16—42no—
1181M16—81no—
1182M16—81no—
1183M16—81no—
1184M16—81no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—42no—
1196C2×C8—81no—
1197C2×C8—81no—
1198C2×C8—81no—
1199C2×C8—81no—
1200C2×C8C22×D411yescharacteristic
1201C2×C8C22×D411yescharacteristic
1202C2×C8C22×D411yescharacteristic
1203C2×C8C22×D411yescharacteristic
1204C2×C8C22×D411yescharacteristic
1205C2×C8C22×D411yescharacteristic
1206C2×C8C22×D411yescharacteristic
1207C2×C8C22×D411yescharacteristic
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—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
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⋊C4C22×D411yescharacteristic
1255C4⋊C4C22×D411yescharacteristic
1256C4⋊C4C22×D411yescharacteristic
1257C4⋊C4C22×D411yescharacteristic
1258C4⋊C4C22×D411yescharacteristic
1259C4⋊C4C22×D411yescharacteristic
1260C4⋊C4C22×D411yescharacteristic
1261C4⋊C4C22×D411yescharacteristic
1262C22⋊C4—21no—
1263C22⋊C4—21no—
1264C22⋊C4—21no—
1265C22⋊C4—21no—
1266C22⋊C4—21no—
1267C22⋊C4—21no—
1268C22⋊C4—21no—
1269C22⋊C4—21no—
1270C22⋊C4—21no—
1271C22⋊C4—21no—
1272C22⋊C4—21no—
1273C22⋊C4—21no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C42—21no—
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—21no—
1304C42—21no—
1305C42—21no—
1306C42—21no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42C22×D411yescharacteristic
1315C42C22×D411yescharacteristic
1316C42H(5,𝔽2)11yescharacteristic
1317C42C2511yescharacteristic
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—42no—
1323C23—41no—
1324C23—41no—
1325C23—81no—
1326C23—81no—
1327C23—82no—
1328C23—82no—
1329C23—161no—
1330C23D4211yescharacteristic
1331Q8—21no—
1332Q8—21no—
1333Q8—21no—
1334Q8—21no—
1335Q8—21no—
1336Q8—21no—
1337Q8—21no—
1338Q8—21no—
1339Q8—41no—
1340Q8—41no—
1341Q8—41no—
1342Q8—41no—
1343Q8—41no—
1344Q8—41no—
1345Q8—41no—
1346Q8—41no—
1347Q8—81no—
1348Q8—81no—
1349Q8—81no—
1350Q8—82no—
1351Q8—82no—
1352Q8—161no—
1353D4—21no—
1354D4—21no—
1355D4—21no—
1356D4—21no—
1357D4—21no—
1358D4—21no—
1359D4—21no—
1360D4—42no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—81no—
1370D4—81no—
1371D4—81no—
1372D4—81no—
1373D4—82no—
1374D4—82no—
1375D4—82no—
1376D4—82no—
1377D4—82no—
1378D4—82no—
1379D4—82no—
1380D4—82no—
1381D4—161no—
1382D4—161no—
1383D4#57512yes—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—41no—
1401C2×C4—42no—
1402C2×C4—42no—
1403C2×C4—42no—
1404C2×C4—42no—
1405C2×C4—42no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
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—81no—
1421C2×C4—82no—
1422C2×C4—81no—
1423C2×C4—82no—
1424C2×C4—82no—
1425C2×C4—82no—
1426C2×C4—82no—
1427C2×C4—82no—
1428C2×C4—82no—
1429C2×C4—161no—
1430C2×C4—161no—
1431C2×C4—161no—
1432C2×C4—161no—
1433C2×C4—161no—
1434C2×C4D4211yescharacteristic
1435C2×C4D4211yescharacteristic
1436C2×C4D4211yescharacteristic
1437C2×C4C23×D411yescharacteristic
1438C2×C4C23×D411yescharacteristic
1439C2×C4C2×H(5,𝔽2)11yescharacteristic
1440C8—21no—
1441C8—21no—
1442C8—21no—
1443C8—21no—
1444C8—21no—
1445C8—21no—
1446C8—21no—
1447C8—21no—
1448C8—41no—
1449C8—41no—
1450C8—41no—
1451C8—41no—
1452C8—41no—
1453C8—41no—
1454C8—41no—
1455C8—41no—
1456C8—41no—
1457C8—41no—
1458C22—21no—
1459C22—22no—
1460C22—21no—
1461C22—21no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—162no—
1480C22—164no—
1481C22C2×D4211yescharacteristic
1482C4—21no—
1483C4—21no—
1484C4—21no—
1485C4—21no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—81no—
1499C4—81no—
1500C4—81no—
1501C4—81no—
1502C4—81no—
1503C4—81no—
1504C4C2×#57511yescharacteristic
1505C4#358411yescharacteristic
1506C4#358511yescharacteristic
1507C4#358611yescharacteristic
1508C2—41no—
1509C2—42no—
1510C2—81no—
1511C2—81no—
1512C2—81no—
1513C2—161no—
1514C2—161no—
1515C2#6106611yescharacteristic
1516C2#6107811yescharacteristic
1517C2#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. #61899C2semidirect
3. #61542C2semidirect
4. #61165C2semidirect
5. #20307C2semidirect
6. #20274C2semidirect
7. #20268C2semidirect
8. #20214C2semidirect
9. #20177C2semidirect
10. #20141C2semidirect
11. #20093C2semidirect
12. #20057C2semidirect
13. #20044C2semidirect
14. #19999C2semidirect
15. #19939C2semidirect
16. #19901C2semidirect
17. #19851C2semidirect
18. #19840C2semidirect
19. #19825C2semidirect
20. #19778C2semidirect
21. #19718C2semidirect
22. #19482C2semidirect
23. #19479C2semidirect
24. #19383C2semidirect
25. #19305C2semidirect
26. #18845C2semidirect
27. #18812C2semidirect
28. #18794C2semidirect
29. #18781C2semidirect
30. #18051C2semidirect
31. #18008C2semidirect
32. #3522C22semidirect
38. #3400C22semidirect
40. #3397C22semidirect
42. #3394C22semidirect
44. #3385C22semidirect
49. #3369C22semidirect
52. #3363C22semidirect
53. #3361C22semidirect
55. #3360C22semidirect
59. #3338C22semidirect
62. #3333C22semidirect
63. #3331C22semidirect
82. #3284C22semidirect
87. #3229C22semidirect
89. #3218C22semidirect
93. #3206C22semidirect
94. #3182C22semidirect
104. #3104C22semidirect
114. #2984C22semidirect
115. #2969C22semidirect
120. #1719C22semidirect
121. #1718C22semidirect
122. #1718C22semidirect
123. #1717C22semidirect
124. #1715C22semidirect
125. #1714C22semidirect
126. #1708C22semidirect
127. #1708C22semidirect
128. #1704C22semidirect
129. #1704C22semidirect
131. #1702C22semidirect
132. #1702C22semidirect
133. #1701C22semidirect
134. #1700C22semidirect
135. #1699C22semidirect
136. #1698C22semidirect
139. #1694C22semidirect
140. #1692C22semidirect
141. #1686C22semidirect
142. #1686C22semidirect
144. #1683C22semidirect
145. #1683C22semidirect
146. #1683C22semidirect
147. #1682C22semidirect
148. #1682C22semidirect
149. #1681C22semidirect
150. #1680C22semidirect
151. #1679C22semidirect
152. #1678C22semidirect
153. #1677C22semidirect
154. #1675C22semidirect
155. #1674C22semidirect
156. #1672C22semidirect
157. #1665C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1654C22semidirect
162. #1653C22semidirect
163. #1653C22semidirect
166. #1652C22semidirect
167. #1652C22semidirect
168. #1645C22semidirect
169. #1644C22semidirect
170. #1644C22semidirect
171. #1644C22semidirect
172. #1643C22semidirect
173. #1643C22semidirect
174. #1641C22semidirect
175. #1640C22semidirect
178. #1638C22semidirect
179. #1638C22semidirect
186. #1623C22semidirect
187. #1622C22semidirect
189. #1621C22semidirect
190. #1620C22semidirect
192. #1593C22semidirect
194. #1591C22semidirect
196. #1587C22semidirect
198. #1585C22semidirect
199. #1585C22semidirect
200. #1584C22semidirect
202. #1582C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×SD16C22semidirect
208. #1574C22semidirect
209. #1569C22semidirect
210. #1560C22semidirect
211. #1559C22semidirect
213. #1546C22semidirect
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
#618992
#615422
#611652
#203072
#202742
#202682
#202142
#201772
#201412
#200932
#200572
#200442
#199992
#199392
#199012
#198512
#198402
#198252
#197782
#197182
#194822
#194792
#193832
#193052
#188452
#188122
#187942
#187812
#180512
#180082