Finite Group Databasebeta

← #6369040

Subgroups — #6369040

Order 512.

1633 conjugacy classes of subgroups.

The subgroup lattice has 1571 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62552C211yesmaximal, characteristic, complemented
2#62486C211yesmaximal, characteristic, complemented
3#62431C211yesmaximal, characteristic, complemented
4#62430C211yesmaximal, characteristic, complemented
5#20284C211yesmaximal, characteristic, complemented
6#20270C211yesmaximal, characteristic, complemented
7#20265C211yesmaximal, characteristic, complemented
8#20259C211yesmaximal, characteristic, complemented
9#20201C211yesmaximal, characteristic, complemented
10#20195C211yesmaximal, characteristic, complemented
11#20172C211yesmaximal, characteristic, complemented
12#20158C211yesmaximal, characteristic, complemented
13#19882C211yesmaximal, characteristic, complemented
14#19875C211yesmaximal, characteristic, complemented
15#19855C211yesmaximal, characteristic, complemented
16#19852C211yesmaximal, characteristic, complemented
17#19807C211yesmaximal, characteristic, complemented
18#19804C211yesmaximal, characteristic, complemented
19#19770C211yesmaximal, characteristic, complemented
20#19763C211yesmaximal, characteristic, complemented
21C2×#1715C211yesmaximal, characteristic, complemented
22#19362C211yesmaximal, characteristic, complemented
23#19357C211yesmaximal, characteristic, complemented
24#19353C211yesmaximal, characteristic, complemented
25#19352C211yesmaximal, characteristic, complemented
26#18694C211yesmaximal, characteristic, complemented
27#18689C211yesmaximal, characteristic, complemented
28#18684C211yesmaximal, characteristic, complemented
29#18683C211yesmaximal, characteristic, complemented
30#17978C211yesmaximal, characteristic, complemented
31#17963C211yesmaximal, characteristic, complemented
32#3552C2211yescharacteristic, complemented
33#3544C2211yescharacteristic, complemented
34#3543C2211yescharacteristic
35#3543C2211yescharacteristic
36#3400C2211yescharacteristic, complemented
37#3399C2211yescharacteristic
38#3399C2211yescharacteristic
39#3397C2211yescharacteristic, complemented
40#3396C2211yescharacteristic
41#3394C2211yescharacteristic, complemented
42#3392C2211yescharacteristic, complemented
43#3391C2211yescharacteristic
44#3387C2211yescharacteristic, complemented
45#3384C2211yescharacteristic, complemented
46#3381C2211yescharacteristic, complemented
47Q8×SD16C2211yescharacteristic, complemented
48#3375C2211yescharacteristic, complemented
49#3366C2211yescharacteristic, complemented
50#3362C2211yescharacteristic, complemented
51#3361C2211yescharacteristic, complemented
52#3356C2211yescharacteristic, complemented
53#3354C2211yescharacteristic, complemented
54#3345—21no—
55#3344—21no—
56#3340C2211yescharacteristic, complemented
57#3337—21no—
58#3335—21no—
59#3335C2211yescharacteristic, complemented
60#3333C2211yescharacteristic, complemented
61#3325C2211yescharacteristic, complemented
62#3310—21no—
63#3306—21no—
64#3305C2211yescharacteristic, complemented
65#3296—21no—
66#3295C2211yescharacteristic, complemented
67#3294—21no—
68#3287C2211yescharacteristic
69#3284C2211yescharacteristic, complemented
70#3282—21no—
71D4×SD16—21no—
72D4×SD16C2211yescharacteristic, complemented
73#3280—21no—
74D4×D8—21no—
75D4×D8C2211yescharacteristic
76#3278C2211yescharacteristic, complemented
77#3274C2211yescharacteristic
78#3274C2211yescharacteristic
79#3272C2211yescharacteristic, complemented
80#3266—21no—
81#3265—21no—
82#3264—21no—
83#3264—21no—
84#3244—21no—
85#3244—21no—
86#3241—21no—
87#3239C2211yescharacteristic, complemented
88#3238C2211yescharacteristic
89#3238C2211yescharacteristic, complemented
90#3224—21no—
91#3222—21no—
92#3221—21no—
93#3220—21no—
94#3220—21no—
95#3218C2211yescharacteristic
96#3217C2211yescharacteristic
97#3217C2211yescharacteristic
98#3217C2211yescharacteristic, complemented
99#3217C2211yescharacteristic, complemented
100#3179—21no—
101#3176—21no—
102#3174—21no—
103#3173—21no—
104#3168C2211yescharacteristic
105#3168C2211yescharacteristic
106#3163—21no—
107C2×#498C2211yescharacteristic, complemented
108#3155—21no—
109#3154—21no—
110C2×#493C2211yescharacteristic
111C2×#492C2211yescharacteristic, complemented
112C2×#492C2211yescharacteristic, complemented
113#3136—21no—
114C2×#486C2211yescharacteristic, complemented
115C2×#486C2211yescharacteristic, complemented
116#2966C2211yescharacteristic
117#2966C2211yescharacteristic, complemented
118#2966C2211yescharacteristic, complemented
119#2966C2211yescharacteristic, complemented
120#1715C2211yescharacteristic
121#1715C2211yescharacteristic
122#1715C2211yescharacteristic, complemented
123#1715C2211yescharacteristic, complemented
124#1715C2211yescharacteristic, complemented
125#1715C2211yescharacteristic, complemented
126#1715C2211yescharacteristic, complemented
127#1715C2211yescharacteristic, complemented
128#1698C2211yescharacteristic, complemented
129#1698C2211yescharacteristic, complemented
130#1697C2211yescharacteristic, complemented
131#1697C2211yescharacteristic, complemented
132#1692C2211yescharacteristic, complemented
133#1692C2211yescharacteristic, complemented
134#1691C2211yescharacteristic, complemented
135#1691C2211yescharacteristic, complemented
136#1688C2211yescharacteristic
137#1688C2211yescharacteristic, complemented
138#1687C2211yescharacteristic
139#1687C2211yescharacteristic, complemented
140#1686C2211yescharacteristic, complemented
141#1686C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1678C2211yescharacteristic, complemented
145#1678C2211yescharacteristic, complemented
146#1677C2211yescharacteristic, complemented
147#1677C2211yescharacteristic, complemented
148#1672C2211yescharacteristic, complemented
149#1672C2211yescharacteristic, complemented
150#1671C2211yescharacteristic, complemented
151#1671C2211yescharacteristic, complemented
152#1668C2211yescharacteristic, complemented
153#1668C2211yescharacteristic, complemented
154#1667C2211yescharacteristic, complemented
155#1667C2211yescharacteristic, complemented
156#1666C2211yescharacteristic, complemented
157#1666C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1642C2211yescharacteristic, complemented
161#1642C2211yescharacteristic, complemented
162#1641C2211yescharacteristic, complemented
163#1641C2211yescharacteristic, complemented
164#1640C2211yescharacteristic, complemented
165#1640C2211yescharacteristic, complemented
166#1639C2211yescharacteristic, complemented
167#1639C2211yescharacteristic, complemented
168#1631C2211yescharacteristic, complemented
169#1631C2211yescharacteristic, complemented
170#1631C2211yescharacteristic, complemented
171#1631C2211yescharacteristic, complemented
172#1630C2211yescharacteristic, complemented
173#1630C2211yescharacteristic, complemented
174#1629C2211yescharacteristic, complemented
175#1629C2211yescharacteristic, complemented
176#1628C2211yescharacteristic, complemented
177#1628C2211yescharacteristic, complemented
178#1627C2211yescharacteristic, complemented
179#1627C2211yescharacteristic, complemented
180#1626C2211yescharacteristic, complemented
181#1626C2211yescharacteristic, complemented
182#1625C2211yescharacteristic, complemented
183#1625C2211yescharacteristic, complemented
184#1624C2211yescharacteristic, complemented
185#1624C2211yescharacteristic, complemented
186#1623C2211yescharacteristic, complemented
187#1623C2211yescharacteristic, complemented
188#1622C2211yescharacteristic, complemented
189#1622C2211yescharacteristic, complemented
190#1622C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1593C2211yescharacteristic, complemented
194#1592C2211yescharacteristic, complemented
195#1592C2211yescharacteristic, complemented
196#1584C2211yescharacteristic, complemented
197#1584C2211yescharacteristic, complemented
198#1583C2211yescharacteristic, complemented
199#1583C2211yescharacteristic, complemented
200#1582C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1579C2211yescharacteristic, complemented
206SD16⋊C8C2211yescharacteristic, complemented
207SD16⋊C8C2211yescharacteristic, complemented
208#1568C2211yescharacteristic, complemented
209#1568C2211yescharacteristic, complemented
210#1558C2211yescharacteristic, complemented
211#1556C2211yescharacteristic, complemented
212#1555C2211yescharacteristic, complemented
213#1555C2211yescharacteristic, complemented
214#1494C2211yescharacteristic
215#1494C2211yescharacteristic, complemented
216#1494C2211yescharacteristic, complemented
217#1494C2211yescharacteristic, complemented
218C2×#322C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×#135—21no—
224C2×#135—21no—
225C22×SD16—21no—
226C22×SD16—21no—
227C22×SD16—21no—
228C22×SD16—41no—
229C22×D8—21no—
230C22×D8—21no—
231C22×D8—21no—
232#563—41no—
233#563—41no—
234#560—41no—
235#560—41no—
236#559C2311yescharacteristic
237#559C2311yescharacteristic
238Q82C2311yescharacteristic
239#557C2311yescharacteristic
240#556C2311yescharacteristic
241#555C2311yescharacteristic
242#554—21no—
243#554C2311yescharacteristic
244#554C2311yescharacteristic
245#553—21no—
246#552—21no—
247#552—21no—
248#550C2311yescharacteristic
249#550C2311yescharacteristic
250#550C2311yescharacteristic
251#550C2311yescharacteristic
252D4×Q8—21no—
253D4×Q8C2311yescharacteristic
254#548—21no—
255#547—21no—
256#547—21no—
257#547C2311yescharacteristic
258#546—21no—
259#546—21no—
260#546—21no—
261#546—21no—
262D42—21no—
263D42—21no—
264D42—21no—
265D42—21no—
266D42C2311yescharacteristic
267D42C2311yescharacteristic
268#544—21no—
269#544—21no—
270#544—21no—
271#542—21no—
272#542—21no—
273#542—21no—
274#541—21no—
275#540—21no—
276#540—21no—
277#540—21no—
278#540—21no—
279#539—41no—
280#536—21no—
281#536—41no—
282#535—21no—
283#535—21no—
284#535—21no—
285#535—21no—
286#534—41no—
287#534—41no—
288C2×C4⋊Q8C2311yescharacteristic
289C2×C4⋊Q8C2311yescharacteristic
290C2×#127C2311yescharacteristic
291C2×#127C2311yescharacteristic
292#529C2311yescharacteristic
293#529C2311yescharacteristic
294#529C2311yescharacteristic
295#529C2311yescharacteristic
296#501—21no—
297#501—21no—
298#501—21no—
299#501—21no—
300#501—21no—
301#499—21no—
302#499D411yescharacteristic
303#499D411yescharacteristic
304#498—21no—
305#498—21no—
306#498—21no—
307#498C2311yescharacteristic
308#498C2311yescharacteristic
309#498C2311yescharacteristic
310#498C2311yescharacteristic
311#497—21no—
312#497—21no—
313#496—21no—
314#496—21no—
315#496—21no—
316#496—21no—
317#496—21no—
318#496—21no—
319#496—21no—
320#495—21no—
321#495—21no—
322#495D411yescharacteristic
323#495D411yescharacteristic
324#493—21no—
325#493—21no—
326#493—21no—
327#493C2311yescharacteristic
328#493C2311yescharacteristic
329#493C2311yescharacteristic
330#493C2311yescharacteristic
331#492—21no—
332#492—21no—
333#492—21no—
334#492—41no—
335#492C2311yescharacteristic
336#492C2311yescharacteristic
337#492C2311yescharacteristic
338#492C2311yescharacteristic
339#492C2311yescharacteristic
340#492C2311yescharacteristic
341#492C2311yescharacteristic
342#492C2311yescharacteristic
343#491—21no—
344#490—21no—
345#490—21no—
346#490—21no—
347#490—21no—
348#490—21no—
349#489—21no—
350#489—21no—
351#489—21no—
352#489—21no—
353#488—21no—
354#488D411yescharacteristic
355#488D411yescharacteristic
356#488D411yescharacteristic
357#488D411yescharacteristic
358#486—21no—
359#486—21no—
360#486—21no—
361#486—41no—
362#486C2311yescharacteristic
363#486C2311yescharacteristic
364#486C2311yescharacteristic
365#486C2311yescharacteristic
366#486C2311yescharacteristic
367#486C2311yescharacteristic
368#486C2311yescharacteristic
369#486C2311yescharacteristic
370#485—21no—
371#485—21no—
372#484—21no—
373#483—21no—
374#483—21no—
375#483—21no—
376#483—21no—
377#482—21no—
378#482—21no—
379#482—21no—
380#482—21no—
381#481—21no—
382#481—21no—
383#481—21no—
384#481—21no—
385#480—21no—
386#480—21no—
387#480—21no—
388#479—21no—
389#479—21no—
390#478—21no—
391#478—21no—
392#478—21no—
393#478—21no—
394#477C2311yescharacteristic
395#477C2311yescharacteristic
396#477C2311yescharacteristic
397#477C2311yescharacteristic
398#476—21no—
399#476—21no—
400#476—21no—
401#476C2311yescharacteristic
402#476C2311yescharacteristic
403#476C2311yescharacteristic
404#476C2311yescharacteristic
405#475—21no—
406#475—21no—
407#475C2311yescharacteristic
408#475C2311yescharacteristic
409#474—21no—
410#474C2311yescharacteristic
411#474C2311yescharacteristic
412#470—21no—
413#469—21no—
414#469—21no—
415#469—21no—
416#469—21no—
417#468—21no—
418#468—21no—
419#468—21no—
420#467D411yescharacteristic
421#467D411yescharacteristic
422#466—21no—
423#466—21no—
424#466—21no—
425#466D411yescharacteristic
426#466D411yescharacteristic
427#465—21no—
428#465—21no—
429#465—21no—
430#465—21no—
431#465—21no—
432#465D411yescharacteristic
433#465D411yescharacteristic
434#465D411yescharacteristic
435#465D411yescharacteristic
436#464—21no—
437#464—21no—
438#464—21no—
439#463—21no—
440#463—21no—
441#463—21no—
442#463—21no—
443#463—21no—
444#463—21no—
445#463—21no—
446#462C2311yescharacteristic
447#462C2311yescharacteristic
448#461—21no—
449#461—21no—
450#461C2311yescharacteristic
451#461C2311yescharacteristic
452#460—21no—
453#460—21no—
454#460—21no—
455#460C2311yescharacteristic
456#460C2311yescharacteristic
457#460C2311yescharacteristic
458#460C2311yescharacteristic
459#460C2311yescharacteristic
460#460C2311yescharacteristic
461#460C2311yescharacteristic
462#460C2311yescharacteristic
463#459—21no—
464#459—21no—
465#459—21no—
466#459—21no—
467#459—21no—
468#459C2311yescharacteristic
469#459C2311yescharacteristic
470#459C2311yescharacteristic
471#459C2311yescharacteristic
472#459C2311yescharacteristic
473#459C2311yescharacteristic
474#459C2311yescharacteristic
475#459C2311yescharacteristic
476#452—21no—
477#452—21no—
478#452—21no—
479#451—21no—
480#450—21no—
481#450—21no—
482#450—21no—
483#450—21no—
484#450—21no—
485#450—21no—
486#450—21no—
487#449—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#449—21no—
493#449—21no—
494#448—21no—
495#448—21no—
496#448—21no—
497#447—21no—
498#447—21no—
499#447—21no—
500#447—21no—
501#447—21no—
502#447—21no—
503#447—21no—
504#447—21no—
505#447—21no—
506#446C2311yescharacteristic
507#446C2311yescharacteristic
508#446C2311yescharacteristic
509#446C2311yescharacteristic
510C8×Q8C2311yescharacteristic
511C8×Q8C2311yescharacteristic
512C8×Q8C2311yescharacteristic
513C8×Q8C2311yescharacteristic
514#442—21no—
515#442—21no—
516#442—21no—
517#442—21no—
518#441—21no—
519#440—21no—
520#440—21no—
521#440—21no—
522C4×Q16C2311yescharacteristic
523C4×Q16C2311yescharacteristic
524C4×SD16—21no—
525C4×SD16—21no—
526C4×SD16—21no—
527C4×SD16—21no—
528C4×SD16—21no—
529C4×SD16C2311yescharacteristic
530C4×SD16C2311yescharacteristic
531C4×SD16C2311yescharacteristic
532C4×SD16C2311yescharacteristic
533C4×D8—21no—
534C4×D8—21no—
535C4×D8—21no—
536C4×D8C2311yescharacteristic
537C4×D8C2311yescharacteristic
538#436C2311yescharacteristic
539#436C2311yescharacteristic
540#436C2311yescharacteristic
541#436C2311yescharacteristic
542#435—21no—
543#435—21no—
544#435—21no—
545#435—21no—
546C8×D4—21no—
547C8×D4—21no—
548C8×D4—21no—
549C8×D4—21no—
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552C8×D4C2311yescharacteristic
553C8×D4C2311yescharacteristic
554#433—21no—
555#433—21no—
556#433—21no—
557#433—21no—
558#432C2311yescharacteristic
559#432C2311yescharacteristic
560#432C2311yescharacteristic
561#432C2311yescharacteristic
562#428—21no—
563#428—21no—
564#427—21no—
565C2×#106—21no—
566C2×#106—21no—
567C2×#106—21no—
568#418—21no—
569#417—21no—
570#416—21no—
571C2×#102—21no—
572C2×#102—21no—
573C2×#102—21no—
574C2×#102—41no—
575#405—21no—
576#405—21no—
577#405—21no—
578#405—21no—
579C2×C4×C8C2311yescharacteristic
580C2×C4×C8C2311yescharacteristic
581C2×C4×C8C2311yescharacteristic
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#331C2311yescharacteristic
599#331C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612Q8⋊C8C2311yescharacteristic
613Q8⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625#322C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—41no—
632C22×Q8—21no—
633C22×Q8—21no—
634C22×Q8—21no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—41no—
646C22×D4—41no—
647#137—82no—
648AGL(1,ℤ/8)—82no—
649AGL(1,ℤ/8)—82no—
650AGL(1,ℤ/8)—82no—
651#135—82no—
652#135—82no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16C2×D411yescharacteristic
656C2×Q16C2×D411yescharacteristic
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—41no—
676C2×SD16—41no—
677C2×SD16—41no—
678C2×SD16—41no—
679C2×SD16—82no—
680C2×SD16—82no—
681C2×SD16—82no—
682C2×SD16—84no—
683C2×SD16C2×D411yescharacteristic
684C2×SD16C2×D411yescharacteristic
685C2×SD16C2×D411yescharacteristic
686C2×SD16C2×D411yescharacteristic
687C2×D8—21no—
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—21no—
695C2×D8—21no—
696C2×D8—21no—
697C2×D8—21no—
698C2×D8—21no—
699C2×D8—21no—
700C2×D8—21no—
701C2×D8—21no—
702C2×D8—21no—
703C2×D8—82no—
704C2×D8—82no—
705C2×D8—82no—
706C2×D8C2×D411yescharacteristic
707C2×D8C2×D411yescharacteristic
708C2×M16—21no—
709C2×M16—21no—
710C2×M16—21no—
711C2×M16—21no—
712C22×C8—21no—
713C22×C8—21no—
714C22×C8—21no—
715C22×C8—21no—
716C22×C8—21no—
717C22×C8C2×D411yescharacteristic
718C22×C8C2×D411yescharacteristic
719C22×C8C2×D411yescharacteristic
720C22×C8C2×D411yescharacteristic
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—41no—
732C4⋊Q8—41no—
733C4⋊Q8—41no—
734C4⋊Q8C2411yescharacteristic
735C4⋊Q8C2411yescharacteristic
736C4⋊Q8C2411yescharacteristic
737C4⋊Q8C2411yescharacteristic
738#127—21no—
739#127—21no—
740#127—21no—
741#127—21no—
742#127—21no—
743#127—21no—
744#127—21no—
745#127—21no—
746#127—21no—
747#127—21no—
748#127C2411yescharacteristic
749#127C2411yescharacteristic
750#127C2411yescharacteristic
751#127C2411yescharacteristic
752#126—21no—
753#126—21no—
754#126—21no—
755#126—21no—
756#126—41no—
757#126—41no—
758#126—41no—
759#126—41no—
760#126—41no—
761#125—21no—
762#125—21no—
763#125—21no—
764#125—41no—
765#125—41no—
766#125—41no—
767#125—41no—
768#125—41no—
769#125C2×D411yescharacteristic
770#125C2×D411yescharacteristic
771#125C2×D411yescharacteristic
772#125C2×D411yescharacteristic
773#124—21no—
774#124—21no—
775#124—21no—
776#124—21no—
777#124—21no—
778#124—41no—
779#124—41no—
780#124—41no—
781#124C2×D411yescharacteristic
782#124C2×D411yescharacteristic
783#124C2×D411yescharacteristic
784#124C2×D411yescharacteristic
785#123—21no—
786#123—21no—
787#123—21no—
788#123—21no—
789#123—41no—
790#123—41no—
791#123—41no—
792#123—41no—
793#123—41no—
794#123—41no—
795#123—41no—
796#123—41no—
797#123—41no—
798#123—41no—
799#123—41no—
800#123—41no—
801#123—41no—
802#123—41no—
803#123—41no—
804C22⋊Q8—21no—
805C22⋊Q8—21no—
806C22⋊Q8—21no—
807C22⋊Q8—21no—
808C22⋊Q8—21no—
809C22⋊Q8—41no—
810C22⋊Q8—41no—
811C22⋊Q8—41no—
812C22⋊Q8—41no—
813C22⋊Q8—41no—
814C22⋊Q8—41no—
815C22⋊Q8—41no—
816C22⋊Q8—41no—
817C22⋊Q8—41no—
818C22⋊Q8—41no—
819C22⋊Q8—41no—
820C22⋊Q8—41no—
821C22⋊Q8C2×D411yescharacteristic
822C22⋊Q8C2×D411yescharacteristic
823C22⋊Q8C2×D411yescharacteristic
824C22⋊Q8C2×D411yescharacteristic
825#121—21no—
826#121—21no—
827#121—21no—
828#121—21no—
829#121—21no—
830#121—21no—
831#121—21no—
832#121—21no—
833#121—21no—
834#121—21no—
835#121—21no—
836#121—41no—
837#121—41no—
838#121—41no—
839#121—41no—
840#121—41no—
841#121—41no—
842#121—41no—
843#121—41no—
844#121—41no—
845#121—41no—
846#121—41no—
847#121—41no—
848#121—41no—
849#121—41no—
850#121—41no—
851#121—41no—
852#121—41no—
853#121C2×D411yescharacteristic
854#121C2×D411yescharacteristic
855#121C2×D411yescharacteristic
856#121C2×D411yescharacteristic
857#120—41no—
858#120—41no—
859#120—41no—
860#120—41no—
861#120—41no—
862#120—41no—
863#120—41no—
864#120—41no—
865#120—41no—
866#120—41no—
867#120—41no—
868#120—41no—
869C4×Q8—21no—
870C4×Q8—21no—
871C4×Q8—21no—
872C4×Q8—21no—
873C4×Q8—21no—
874C4×Q8C2411yescharacteristic
875C4×Q8C2411yescharacteristic
876C4×Q8C2411yescharacteristic
877C4×Q8C2411yescharacteristic
878C4×D4—21no—
879C4×D4—21no—
880C4×D4—21no—
881C4×D4—21no—
882C4×D4—21no—
883C4×D4—21no—
884C4×D4—21no—
885C4×D4—21no—
886C4×D4—21no—
887C4×D4—21no—
888C4×D4—21no—
889C4×D4—21no—
890C4×D4—21no—
891C4×D4—21no—
892C4×D4—21no—
893C4×D4—41no—
894C4×D4—41no—
895C4×D4C2411yescharacteristic
896C4×D4C2411yescharacteristic
897C4×D4C2411yescharacteristic
898C4×D4C2411yescharacteristic
899#117—21no—
900#117—21no—
901#117—21no—
902#117—21no—
903#117—21no—
904#117—21no—
905#117—21no—
906#117—41no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—21no—
909C2×C4⋊C4—21no—
910C2×C4⋊C4—21no—
911C2×C4⋊C4—21no—
912C2×C4⋊C4—21no—
913C2×C4⋊C4—21no—
914C2×C22⋊C4—41no—
915C2×C22⋊C4—41no—
916C2×C42C2411yescharacteristic
917#107—21no—
918#107—21no—
919#107—21no—
920#107—21no—
921#107—21no—
922#107—21no—
923#107C2×D411yescharacteristic
924#107C2×D411yescharacteristic
925#107C2×D411yescharacteristic
926#107C2×D411yescharacteristic
927#106—21no—
928#106—21no—
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#106C2×D411yescharacteristic
942#106C2×D411yescharacteristic
943#106C2×D411yescharacteristic
944#106C2×D411yescharacteristic
945C4⋊C8—21no—
946C4⋊C8—21no—
947C4⋊C8—21no—
948C4⋊C8—21no—
949C4⋊C8—21no—
950C4⋊C8—21no—
951C4⋊C8—21no—
952C4⋊C8—21no—
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955C4⋊C8C2411yescharacteristic
956C4⋊C8C2411yescharacteristic
957C4⋊C8C2411yescharacteristic
958C4⋊C8C2411yescharacteristic
959C4⋊C8C2411yescharacteristic
960C4⋊C8C2411yescharacteristic
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#103C2×D411yescharacteristic
972#103C2×D411yescharacteristic
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#102—21no—
980#102—21no—
981#102—21no—
982#102—21no—
983#102—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—41no—
1010#102—41no—
1011#102—41no—
1012#102—41no—
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—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×C8—21no—
1045C4×C8—21no—
1046C4×C8C2×D411yescharacteristic
1047C4×C8C2×D411yescharacteristic
1048C4×C8C2×D411yescharacteristic
1049C4×C8C2×D411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C4×C8C2411yescharacteristic
1056C24—41no—
1057C24—41no—
1058C24—41no—
1059C24—41no—
1060#41—81no—
1061#41—81no—
1062#41—81no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—162no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—41no—
1076C2×Q8—41no—
1077C2×Q8—41no—
1078C2×Q8—41no—
1079C2×Q8—82no—
1080C2×Q8—81no—
1081C2×Q8—81no—
1082C2×Q8—81no—
1083C2×Q8—81no—
1084C2×Q8C22×D411yescharacteristic
1085C2×Q8C22×D411yescharacteristic
1086C2×Q8C22×D411yescharacteristic
1087C2×Q8C22×D411yescharacteristic
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—82no—
1133C2×D4—82no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—162no—
1143C2×D4—162no—
1144C2×D4C22×D411yescharacteristic
1145C2×D4C22×D411yescharacteristic
1146C2×D4C22×D411yescharacteristic
1147C2×D4C22×D411yescharacteristic
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4C22×D411yescharacteristic
1165C22×C4C22×D411yescharacteristic
1166C22×C4H(5,𝔽2)11yescharacteristic
1167Q16—22no—
1168Q16—41no—
1169Q16—81no—
1170Q16—81no—
1171SD16—22no—
1172SD16—22no—
1173SD16—41no—
1174SD16—41no—
1175SD16—42no—
1176SD16—42no—
1177SD16—42no—
1178SD16—42no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182SD16—81no—
1183SD16—81no—
1184SD16—81no—
1185SD16—81no—
1186SD16—81no—
1187SD16—81no—
1188SD16—81no—
1189SD16—81no—
1190SD16—81no—
1191SD16—81no—
1192SD16—81no—
1193SD16—82no—
1194SD16—82no—
1195SD16—82no—
1196SD16—82no—
1197D8—22no—
1198D8—41no—
1199D8—42no—
1200D8—42no—
1201D8—42no—
1202D8—42no—
1203D8—81no—
1204D8—81no—
1205D8—81no—
1206D8—81no—
1207D8—81no—
1208D8—81no—
1209D8—81no—
1210D8—81no—
1211D8—81no—
1212D8—81no—
1213D8—81no—
1214D8—81no—
1215M16—42no—
1216M16—42no—
1217M16—42no—
1218M16—81no—
1219C2×C8—22no—
1220C2×C8—22no—
1221C2×C8—21no—
1222C2×C8—21no—
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—41no—
1232C2×C8—41no—
1233C2×C8—42no—
1234C2×C8—42no—
1235C2×C8—42no—
1236C2×C8—42no—
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⋊C4C22×D411yescharacteristic
1287C4⋊C4C22×D411yescharacteristic
1288C4⋊C4C22×D411yescharacteristic
1289C4⋊C4C22×D411yescharacteristic
1290C4⋊C4C22×D411yescharacteristic
1291C4⋊C4C22×D411yescharacteristic
1292C4⋊C4C22×D411yescharacteristic
1293C4⋊C4C22×D411yescharacteristic
1294C22⋊C4—21no—
1295C22⋊C4—21no—
1296C22⋊C4—21no—
1297C22⋊C4—21no—
1298C22⋊C4—21no—
1299C22⋊C4—21no—
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—21no—
1313C22⋊C4—21no—
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—
1333C22⋊C4—41no—
1334C42—21no—
1335C42—21no—
1336C42—21no—
1337C42—21no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42C22×D411yescharacteristic
1343C42C22×D411yescharacteristic
1344C42H(5,𝔽2)11yescharacteristic
1345C42C2511yescharacteristic
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—82no—
1355C23—82no—
1356C23—161no—
1357C23—161no—
1358C23—161no—
1359C23—161no—
1360C23—161no—
1361C23—161no—
1362C23—161no—
1363C23—161no—
1364C23—161no—
1365C23—161no—
1366C23D4211yescharacteristic
1367Q8—21no—
1368Q8—21no—
1369Q8—21no—
1370Q8—21no—
1371Q8—21no—
1372Q8—21no—
1373Q8—21no—
1374Q8—21no—
1375Q8—41no—
1376Q8—41no—
1377Q8—41no—
1378Q8—41no—
1379Q8—81no—
1380Q8—81no—
1381Q8—161no—
1382Q8—161no—
1383Q8—161no—
1384Q8—161no—
1385D4—21no—
1386D4—21no—
1387D4—21no—
1388D4—21no—
1389D4—21no—
1390D4—21no—
1391D4—21no—
1392D4—21no—
1393D4—42no—
1394D4—42no—
1395D4—42no—
1396D4—42no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—81no—
1414D4—81no—
1415D4—81no—
1416D4—81no—
1417D4—161no—
1418D4—161no—
1419D4—161no—
1420D4—161no—
1421D4—161no—
1422D4—161no—
1423D4—161no—
1424D4—161no—
1425D4—161no—
1426D4—161no—
1427D4—161no—
1428D4—161no—
1429D4—161no—
1430D4—161no—
1431D4—161no—
1432D4—161no—
1433D4—161no—
1434D4—161no—
1435D4—161no—
1436D4—161no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—82no—
1467C2×C4—161no—
1468C2×C4—161no—
1469C2×C4—161no—
1470C2×C4—161no—
1471C2×C4—161no—
1472C2×C4—161no—
1473C2×C4—161no—
1474C2×C4—161no—
1475C2×C4—161no—
1476C2×C4—161no—
1477C2×C4—161no—
1478C2×C4D4211yescharacteristic
1479C2×C4D4211yescharacteristic
1480C2×C4D4211yescharacteristic
1481C2×C4C23×D411yescharacteristic
1482C2×C4C23×D411yescharacteristic
1483C2×C4C2×H(5,𝔽2)11yescharacteristic
1484C8—21no—
1485C8—21no—
1486C8—21no—
1487C8—21no—
1488C8—21no—
1489C8—21no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C8—41no—
1497C8—41no—
1498C8—41no—
1499C8—41no—
1500C8#57712yes—
1501C8#57712yes—
1502C22—21no—
1503C22—21no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—322no—
1529C22—322no—
1530C22—322no—
1531C22—322no—
1532C22#328812yes—
1533C22C2×D4211yescharacteristic
1534C4—21no—
1535C4—21no—
1536C4—21no—
1537C4—21no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—81no—
1551C4—81no—
1552C4—81no—
1553C4—81no—
1554C4C2×#57711yescharacteristic
1555C4C2×#57711yescharacteristic
1556C4#358511yescharacteristic
1557C4#358511yescharacteristic
1558C2—22no—
1559C2—81no—
1560C2—81no—
1561C2—81no—
1562C2—81no—
1563C2—161no—
1564C2—161no—
1565C2—161no—
1566C2—161no—
1567C2#6108211yescharacteristic
1568C2#6108711yescharacteristic
1569C2C2×#328811yescharacteristic
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. #62552C2semidirect
2. #62486C2semidirect
3. #62431C2semidirect
4. #62430C2semidirect
5. #20284C2semidirect
6. #20270C2semidirect
7. #20265C2semidirect
8. #20259C2semidirect
9. #20201C2semidirect
10. #20195C2semidirect
11. #20172C2semidirect
12. #20158C2semidirect
13. #19882C2semidirect
14. #19875C2semidirect
15. #19855C2semidirect
16. #19852C2semidirect
17. #19807C2semidirect
18. #19804C2semidirect
19. #19770C2semidirect
20. #19763C2semidirect
21. C2×#1715C2semidirect
22. #19362C2semidirect
23. #19357C2semidirect
24. #19353C2semidirect
25. #19352C2semidirect
26. #18694C2semidirect
27. #18689C2semidirect
28. #18684C2semidirect
29. #18683C2semidirect
30. #17978C2semidirect
31. #17963C2semidirect
32. #3552C22semidirect
33. #3544C22semidirect
36. #3400C22semidirect
39. #3397C22semidirect
41. #3394C22semidirect
42. #3392C22semidirect
44. #3387C22semidirect
45. #3384C22semidirect
46. #3381C22semidirect
47. Q8×SD16C22semidirect
48. #3375C22semidirect
49. #3366C22semidirect
50. #3362C22semidirect
51. #3361C22semidirect
52. #3356C22semidirect
53. #3354C22semidirect
56. #3340C22semidirect
59. #3335C22semidirect
60. #3333C22semidirect
61. #3325C22semidirect
64. #3305C22semidirect
66. #3295C22semidirect
69. #3284C22semidirect
72. D4×SD16C22semidirect
76. #3278C22semidirect
79. #3272C22semidirect
87. #3239C22semidirect
89. #3238C22semidirect
98. #3217C22semidirect
99. #3217C22semidirect
107. C2×#498C22semidirect
111. C2×#492C22semidirect
112. C2×#492C22semidirect
114. C2×#486C22semidirect
115. C2×#486C22semidirect
117. #2966C22semidirect
118. #2966C22semidirect
119. #2966C22semidirect
122. #1715C22semidirect
123. #1715C22semidirect
124. #1715C22semidirect
125. #1715C22semidirect
126. #1715C22semidirect
127. #1715C22semidirect
128. #1698C22semidirect
129. #1698C22semidirect
130. #1697C22semidirect
131. #1697C22semidirect
132. #1692C22semidirect
133. #1692C22semidirect
134. #1691C22semidirect
135. #1691C22semidirect
137. #1688C22semidirect
139. #1687C22semidirect
140. #1686C22semidirect
141. #1686C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1678C22semidirect
145. #1678C22semidirect
146. #1677C22semidirect
147. #1677C22semidirect
148. #1672C22semidirect
149. #1672C22semidirect
150. #1671C22semidirect
151. #1671C22semidirect
152. #1668C22semidirect
153. #1668C22semidirect
154. #1667C22semidirect
155. #1667C22semidirect
156. #1666C22semidirect
157. #1666C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1642C22semidirect
161. #1642C22semidirect
162. #1641C22semidirect
163. #1641C22semidirect
164. #1640C22semidirect
165. #1640C22semidirect
166. #1639C22semidirect
167. #1639C22semidirect
168. #1631C22semidirect
169. #1631C22semidirect
170. #1631C22semidirect
171. #1631C22semidirect
172. #1630C22semidirect
173. #1630C22semidirect
174. #1629C22semidirect
175. #1629C22semidirect
176. #1628C22semidirect
177. #1628C22semidirect
178. #1627C22semidirect
179. #1627C22semidirect
180. #1626C22semidirect
181. #1626C22semidirect
182. #1625C22semidirect
183. #1625C22semidirect
184. #1624C22semidirect
185. #1624C22semidirect
186. #1623C22semidirect
187. #1623C22semidirect
188. #1622C22semidirect
189. #1622C22semidirect
190. #1622C22semidirect
191. #1622C22semidirect
192. #1594C22semidirect
193. #1593C22semidirect
194. #1592C22semidirect
195. #1592C22semidirect
196. #1584C22semidirect
197. #1584C22semidirect
198. #1583C22semidirect
199. #1583C22semidirect
200. #1582C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. #1579C22semidirect
206. SD16⋊C8C22semidirect
207. SD16⋊C8C22semidirect
208. #1568C22semidirect
209. #1568C22semidirect
210. #1558C22semidirect
211. #1556C22semidirect
212. #1555C22semidirect
213. #1555C22semidirect
215. #1494C22semidirect
216. #1494C22semidirect
217. #1494C22semidirect
218. C2×#322C22semidirect

Maximal subgroups

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

subgroupindex
#625522
#624862
#624312
#624302
#202842
#202702
#202652
#202592
#202012
#201952
#201722
#201582
#198822
#198752
#198552
#198522
#198072
#198042
#197702
#197632
C2×#17152
#193622
#193572
#193532
#193522
#186942
#186892
#186842
#186832
#179782
#179632