Finite Group Databasebeta

← #6362550

Subgroups — #6362550

Order 512.

1667 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62004C211yesmaximal, characteristic, complemented
2#62003C211yesmaximal, characteristic, complemented
3#61494C211yesmaximal, characteristic, complemented
4#61124C211yesmaximal, characteristic, complemented
5#20144C211yesmaximal, characteristic, complemented
6#20139C211yesmaximal, characteristic, complemented
7#20082C211yesmaximal, characteristic, complemented
8#20080C211yesmaximal, characteristic, complemented
9#20049C211yesmaximal, characteristic, complemented
10#20045C211yesmaximal, characteristic, complemented
11#20034C211yesmaximal, characteristic, complemented
12#20030C211yesmaximal, characteristic, complemented
13#20004C211yesmaximal, characteristic, complemented
14#20000C211yesmaximal, characteristic, complemented
15#19995C211yesmaximal, characteristic, complemented
16#19992C211yesmaximal, characteristic, complemented
17#19904C211yesmaximal, characteristic, complemented
18#19899C211yesmaximal, characteristic, complemented
19#19886C211yesmaximal, characteristic, complemented
20#19884C211yesmaximal, characteristic, complemented
21#19644C211yesmaximal, characteristic, complemented
22#19493C211yesmaximal, characteristic, complemented
23#19492C211yesmaximal, characteristic, complemented
24#19367C211yesmaximal, characteristic, complemented
25#19255C211yesmaximal, characteristic, complemented
26#18607C211yesmaximal, characteristic, complemented
27#18594C211yesmaximal, characteristic, complemented
28#18560C211yesmaximal, characteristic, complemented
29#18554C211yesmaximal, characteristic, complemented
30#18059C211yesmaximal, characteristic, complemented
31#17910C211yesmaximal, characteristic, complemented
32#3517C2211yescharacteristic
33#3514C2211yescharacteristic, complemented
34#3475C2211yescharacteristic
35D4×#41C2211yescharacteristic, complemented
36#3399C2211yescharacteristic, complemented
37#3394C2211yescharacteristic, complemented
38#3393C2211yescharacteristic, complemented
39#3392C2211yescharacteristic, complemented
40#3391C2211yescharacteristic
41#3386C2211yescharacteristic, complemented
42#3365C2211yescharacteristic, complemented
43#3361C2211yescharacteristic
44#3360C2211yescharacteristic
45#3359C2211yescharacteristic, complemented
46#3358C2211yescharacteristic
47#3358C2211yescharacteristic, complemented
48#3353C2211yescharacteristic, complemented
49#3347—21no—
50#3332—21no—
51#3332C2211yescharacteristic, complemented
52#3330—21no—
53#3330C2211yescharacteristic
54#3329C2211yescharacteristic, complemented
55#3327—21no—
56#3325C2211yescharacteristic, complemented
57#3323—21no—
58#3305—21no—
59#3305C2211yescharacteristic
60#3304C2211yescharacteristic, complemented
61#3304C2211yescharacteristic, complemented
62#3303C2211yescharacteristic
63#3302C2211yescharacteristic, complemented
64#3301—21no—
65#3300—21no—
66#3299C2211yescharacteristic, complemented
67#3298C2211yescharacteristic
68#3297—21no—
69#3297—21no—
70#3296—21no—
71#3295C2211yescharacteristic, complemented
72#3294C2211yescharacteristic
73#3294C2211yescharacteristic, complemented
74#3276C2211yescharacteristic
75#3275—21no—
76#3274—21no—
77#3274C2211yescharacteristic, complemented
78#3274C2211yescharacteristic, complemented
79#3273—21no—
80#3272—21no—
81#3272C2211yescharacteristic
82#3272C2211yescharacteristic
83#3268—21no—
84#3256—21no—
85#3252C2211yescharacteristic, complemented
86#3251—21no—
87#3251C2211yescharacteristic
88#3211—21no—
89#3210C2211yescharacteristic, complemented
90#3207—21no—
91#3207C2211yescharacteristic, complemented
92#3184C2211yescharacteristic
93#3182C2211yescharacteristic, complemented
94#3179—21no—
95#3169C2211yescharacteristic, complemented
96#3131C2211yescharacteristic, complemented
97#3124—21no—
98#3122—21no—
99#3115C2211yescharacteristic
100#3115C2211yescharacteristic, complemented
101#3105—21no—
102#3105C2211yescharacteristic
103#3102—21no—
104#3091—21no—
105#3076C2211yescharacteristic, complemented
106#3050—21no—
107#3040—21no—
108#3036—21no—
109#3036C2211yescharacteristic
110#3036C2211yescharacteristic, complemented
111#3035C2211yescharacteristic
112#3002—21no—
113#2991C2211yescharacteristic, complemented
114#2991C2211yescharacteristic, complemented
115#2966C2211yescharacteristic, complemented
116#2946—21no—
117C4×#135C2211yescharacteristic
118C2×C8×D4C2211yescharacteristic, complemented
119C2×#416—21no—
120#1723C2211yescharacteristic, complemented
121#1721C2211yescharacteristic, complemented
122#1719C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1711C2211yescharacteristic, complemented
125#1709C2211yescharacteristic, complemented
126#1708C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1701C2211yescharacteristic, complemented
130#1700C2211yescharacteristic, complemented
131#1699C2211yescharacteristic, complemented
132#1699C2211yescharacteristic, complemented
133#1698C2211yescharacteristic, complemented
134#1697C2211yescharacteristic, complemented
135#1697C2211yescharacteristic, complemented
136#1689C2211yescharacteristic, complemented
137#1687C2211yescharacteristic, complemented
138#1685C2211yescharacteristic, complemented
139#1685C2211yescharacteristic, complemented
140#1684C2211yescharacteristic, complemented
141#1684C2211yescharacteristic, complemented
142#1683C2211yescharacteristic, complemented
143#1682C2211yescharacteristic, complemented
144#1682C2211yescharacteristic, complemented
145#1681C2211yescharacteristic
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1681C2211yescharacteristic, complemented
149#1681C2211yescharacteristic, complemented
150#1680C2211yescharacteristic, complemented
151#1678C2211yescharacteristic, complemented
152#1673C2211yescharacteristic, complemented
153#1673C2211yescharacteristic, complemented
154#1670C2211yescharacteristic, complemented
155#1668C2211yescharacteristic, complemented
156#1667C2211yescharacteristic
157#1667C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1666C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1652C2211yescharacteristic, complemented
162#1651C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1650C2211yescharacteristic, complemented
165#1648C2211yescharacteristic, complemented
166#1647C2211yescharacteristic
167#1647C2211yescharacteristic, complemented
168#1646C2211yescharacteristic, complemented
169#1643C2211yescharacteristic, complemented
170#1642C2211yescharacteristic, complemented
171#1642C2211yescharacteristic, complemented
172#1641C2211yescharacteristic, complemented
173#1640C2211yescharacteristic, complemented
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1636C2211yescharacteristic, complemented
177#1635C2211yescharacteristic, complemented
178#1631C2211yescharacteristic, complemented
179#1631C2211yescharacteristic, complemented
180#1628C2211yescharacteristic, complemented
181#1628C2211yescharacteristic, complemented
182#1627C2211yescharacteristic
183#1627C2211yescharacteristic, complemented
184#1625C2211yescharacteristic
185#1625C2211yescharacteristic
186#1624C2211yescharacteristic, complemented
187#1622C2211yescharacteristic, complemented
188#1621C2211yescharacteristic
189#1620C2211yescharacteristic, complemented
190#1619C2211yescharacteristic
191#1619C2211yescharacteristic, complemented
192#1589C2211yescharacteristic, complemented
193#1589C2211yescharacteristic, complemented
194#1588C2211yescharacteristic, complemented
195#1588C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1588C2211yescharacteristic, complemented
198#1586C2211yescharacteristic
199#1586C2211yescharacteristic, complemented
200#1585C2211yescharacteristic, complemented
201#1585C2211yescharacteristic, complemented
202C8×Q16C2211yescharacteristic, complemented
203C8×Q16C2211yescharacteristic, complemented
204C8×SD16C2211yescharacteristic, complemented
205C8×SD16C2211yescharacteristic, complemented
206C8×D8C2211yescharacteristic
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1567C2211yescharacteristic, complemented
210#1559C2211yescharacteristic, complemented
211#1557C2211yescharacteristic, complemented
212#1547C2211yescharacteristic, complemented
213#1547C2211yescharacteristic, complemented
214#1490C2211yescharacteristic, complemented
215#1489C2211yescharacteristic, complemented
216#1489C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218C8×M16C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×AGL(1,ℤ/8)—21no—
226C2×AGL(1,ℤ/8)—21no—
227C2×#135—21no—
228C2×#135D411yescharacteristic
229C23×C8—21no—
230#559C2311yescharacteristic
231#557C2311yescharacteristic
232#556C2311yescharacteristic
233#556C2311yescharacteristic
234#555—21no—
235#555C2311yescharacteristic
236#554C2311yescharacteristic
237#553—21no—
238#553—21no—
239#553—41no—
240#552—21no—
241#552—21no—
242#551—41no—
243#551—41no—
244#550—21no—
245#550—21no—
246#550C2311yescharacteristic
247#550C2311yescharacteristic
248#550C2311yescharacteristic
249D4×Q8C2311yescharacteristic
250D4×Q8C2311yescharacteristic
251#548—21no—
252#548—21no—
253#547—21no—
254#547—21no—
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#546—21no—
259#546—21no—
260#546—21no—
261#546—21no—
262#546—41no—
263D42—21no—
264D42C2311yescharacteristic
265D42C2311yescharacteristic
266#542—21no—
267#540—21no—
268#540—41no—
269#538—41no—
270#533C2311yescharacteristic
271#532—21no—
272#532—21no—
273#532C2311yescharacteristic
274#532C2311yescharacteristic
275#532C2311yescharacteristic
276#529—21no—
277#529—21no—
278#529—21no—
279#529—41no—
280#529C2311yescharacteristic
281C2×#124—21no—
282#525—21no—
283#525—21no—
284#525—41no—
285#520—21no—
286#518—21no—
287C4×#41—21no—
288C4×#41C2311yescharacteristic
289C4×#41C2311yescharacteristic
290C2×C4×D4—21no—
291C2×C4×D4C2311yescharacteristic
292C2×#117—21no—
293#501—21no—
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#498C2311yescharacteristic
297#496—21no—
298#495—21no—
299#495—21no—
300#494C2311yescharacteristic
301#493—21no—
302#493C2311yescharacteristic
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#492—21no—
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#488—21no—
310#488—21no—
311#488—21no—
312#488—21no—
313#488—21no—
314#487—21no—
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#486—21no—
321#486—21no—
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#485—21no—
332#485—21no—
333#485—21no—
334#484—21no—
335#484—21no—
336#484—21no—
337#484D411yescharacteristic
338#483—21no—
339#482—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#481—21no—
347#481—21no—
348#481D411yescharacteristic
349#480—21no—
350#480—21no—
351#479—21no—
352#479—21no—
353#479—21no—
354#478—21no—
355#478—21no—
356#478—21no—
357#478—21no—
358#478—21no—
359#478D411yescharacteristic
360#478D411yescharacteristic
361#477—21no—
362#477C2311yescharacteristic
363#477C2311yescharacteristic
364#476C2311yescharacteristic
365#476C2311yescharacteristic
366#475—21no—
367#475C2311yescharacteristic
368#475C2311yescharacteristic
369#475C2311yescharacteristic
370#475C2311yescharacteristic
371#474—21no—
372#474—21no—
373#474C2311yescharacteristic
374#474C2311yescharacteristic
375#474C2311yescharacteristic
376#474C2311yescharacteristic
377#470—21no—
378#470—21no—
379#469—21no—
380#469—21no—
381#469—21no—
382#469—21no—
383#469—21no—
384#469—41no—
385#468—21no—
386#468—21no—
387#468—21no—
388#468—21no—
389#468—21no—
390#468—21no—
391#468—21no—
392#468—41no—
393#467—21no—
394#467—21no—
395#466—21no—
396#466—21no—
397#466—21no—
398#466—21no—
399#466—21no—
400#465—21no—
401#465—21no—
402#465—21no—
403#465—21no—
404#465—21no—
405#464—21no—
406#464—21no—
407#464—21no—
408#464—21no—
409#464—21no—
410#464—21no—
411#464—21no—
412#464—21no—
413#463—21no—
414#463—21no—
415#463—21no—
416#463—21no—
417#463—21no—
418#463—21no—
419#463—21no—
420#463—21no—
421#463—21no—
422#463—21no—
423#463—21no—
424#463—21no—
425#463D411yescharacteristic
426#463D411yescharacteristic
427#462C2311yescharacteristic
428#462C2311yescharacteristic
429#461—21no—
430#461—21no—
431#461C2311yescharacteristic
432#461C2311yescharacteristic
433#461C2311yescharacteristic
434#461C2311yescharacteristic
435#461C2311yescharacteristic
436#461C2311yescharacteristic
437#460—21no—
438#460C2311yescharacteristic
439#460C2311yescharacteristic
440#460C2311yescharacteristic
441#460C2311yescharacteristic
442#459—21no—
443#459—21no—
444#459—21no—
445#459—21no—
446#459—21no—
447#459C2311yescharacteristic
448#459C2311yescharacteristic
449#459C2311yescharacteristic
450#459C2311yescharacteristic
451#459C2311yescharacteristic
452#459C2311yescharacteristic
453#459C2311yescharacteristic
454#459C2311yescharacteristic
455#452—21no—
456#452—21no—
457#452—21no—
458#452—21no—
459#452—21no—
460#452—21no—
461#451—21no—
462#451—21no—
463#450—21no—
464#450—21no—
465#450—21no—
466#450D411yescharacteristic
467#449—21no—
468#449—21no—
469#449—21no—
470#449—21no—
471#449—21no—
472#449—21no—
473#449—21no—
474#449—21no—
475#449—21no—
476#449—21no—
477#449—21no—
478#449—21no—
479#448—21no—
480#448—21no—
481#447—21no—
482#447—21no—
483#447—21no—
484#447—21no—
485#447—21no—
486#447D411yescharacteristic
487#446C2311yescharacteristic
488C8×Q8C2311yescharacteristic
489C8×Q8C2311yescharacteristic
490C8×Q8C2311yescharacteristic
491C8×Q8C2311yescharacteristic
492C8×Q8C2311yescharacteristic
493#442—21no—
494#442—21no—
495#442—21no—
496#442—41no—
497#440—21no—
498#440—21no—
499#440—21no—
500#440—41no—
501C4×Q16—21no—
502C4×Q16D411yescharacteristic
503C4×Q16C2311yescharacteristic
504C4×SD16—21no—
505C4×SD16—21no—
506C4×SD16—21no—
507C4×SD16—21no—
508C4×SD16—21no—
509C4×SD16D411yescharacteristic
510C4×SD16D411yescharacteristic
511C4×SD16C2311yescharacteristic
512C4×SD16C2311yescharacteristic
513C4×SD16C2311yescharacteristic
514C4×SD16C2311yescharacteristic
515C4×D8—21no—
516C4×D8—21no—
517C4×D8—21no—
518C4×D8—21no—
519C4×D8—21no—
520C4×D8—21no—
521C4×D8D411yescharacteristic
522C4×D8C2311yescharacteristic
523C4×D8C2311yescharacteristic
524C4×D8C2311yescharacteristic
525#436—21no—
526#436—21no—
527#436—21no—
528#436—21no—
529#436C2311yescharacteristic
530#436C2311yescharacteristic
531#436C2311yescharacteristic
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#435—21no—
535C8×D4—21no—
536C8×D4—21no—
537C8×D4—21no—
538C8×D4C2311yescharacteristic
539C8×D4C2311yescharacteristic
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic
542C8×D4C2311yescharacteristic
543#433—21no—
544#432C2311yescharacteristic
545#431—21no—
546#431—21no—
547#431C2311yescharacteristic
548#428—21no—
549#427—21no—
550#427D411yescharacteristic
551#423—21no—
552#423—21no—
553#423C2311yescharacteristic
554#423C2311yescharacteristic
555C2×C4⋊C8C2311yescharacteristic
556#419—21no—
557#418—21no—
558#417—21no—
559#417—21no—
560#417—21no—
561#417—21no—
562#416—21no—
563#416—21no—
564#416—21no—
565#416—21no—
566#416—21no—
567#416—21no—
568#416—21no—
569#416—21no—
570#416—21no—
571#416D411yescharacteristic
572#416D411yescharacteristic
573C2×#103—21no—
574C2×#103—21no—
575C2×#102—21no—
576C2×#102—21no—
577C2×#102—21no—
578C2×C22⋊C8—21no—
579#405—21no—
580C4×M16C2311yescharacteristic
581C2×C4×C8C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#335C2311yescharacteristic
587#335C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624C82C2311yescharacteristic
625C82C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—41no—
636C2×#41—41no—
637C2×#41—44no—
638C2×#41—82no—
639C2×#41C2×D411yescharacteristic
640C2×#41C2×D411yescharacteristic
641C22×Q8—21no—
642C22×Q8—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—41no—
648C22×D4C2×D411yescharacteristic
649C23×C4—21no—
650C23×C4—41no—
651#137—82no—
652AGL(1,ℤ/8)—44no—
653AGL(1,ℤ/8)—82no—
654AGL(1,ℤ/8)—82no—
655AGL(1,ℤ/8)—82no—
656AGL(1,ℤ/8)—82no—
657AGL(1,ℤ/8)—82no—
658#135—42no—
659#135—82no—
660C2×Q16—21no—
661C2×Q16—21no—
662C2×Q16—21no—
663C2×Q16—21no—
664C2×Q16C2×D411yescharacteristic
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—41no—
680C2×SD16C2×D411yescharacteristic
681C2×SD16C2×D411yescharacteristic
682C2×SD16C2×D411yescharacteristic
683C2×SD16C2×D411yescharacteristic
684C2×D8—21no—
685C2×D8—21no—
686C2×D8—21no—
687C2×D8—21no—
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—21no—
695C2×D8—21no—
696C2×D8—41no—
697C2×D8C2×D411yescharacteristic
698C2×D8C2×D411yescharacteristic
699C2×D8C2×D411yescharacteristic
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—21no—
703C2×M16—21no—
704C2×M16—21no—
705C2×M16—21no—
706C2×M16—21no—
707C2×M16—21no—
708C22×C8—21no—
709C22×C8—21no—
710C22×C8—21no—
711C22×C8—21no—
712C22×C8—21no—
713C22×C8—21no—
714C22×C8—82no—
715C22×C8C2×D411yescharacteristic
716C22×C8C2×D411yescharacteristic
717C4⋊Q8—21no—
718C4⋊Q8—21no—
719C4⋊Q8—21no—
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722C4⋊Q8C2411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725#127—21no—
726#127—21no—
727#127—21no—
728#127—41no—
729#127C2411yescharacteristic
730#127C2411yescharacteristic
731#127C2411yescharacteristic
732#126—21no—
733#126—41no—
734#126—41no—
735#126—41no—
736#126—41no—
737#126—41no—
738#126—41no—
739#125—21no—
740#125—21no—
741#125—21no—
742#125—41no—
743#125—41no—
744#125C2×D411yescharacteristic
745#124—21no—
746#124—21no—
747#124—21no—
748#124—21no—
749#124—21no—
750#124—21no—
751#124—21no—
752#124—41no—
753#124—41no—
754#124—41no—
755#124—41no—
756#124—41no—
757#124C2×D411yescharacteristic
758#123—21no—
759#123—41no—
760#123—41no—
761#123—41no—
762#123—41no—
763#123—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8C2×D411yescharacteristic
789#121—21no—
790#121—21no—
791#121—21no—
792#121—21no—
793#121—21no—
794#121—21no—
795#121—21no—
796#121—21no—
797#121—21no—
798#121—21no—
799#121—21no—
800#121—21no—
801#121—21no—
802#121—21no—
803#121—21no—
804#121—21no—
805#121—21no—
806#121—21no—
807#121—41no—
808#121—41no—
809#121—41no—
810#121—41no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121—41no—
815#121—41no—
816#121—41no—
817#121—41no—
818#121—41no—
819#121—41no—
820#121C2×D411yescharacteristic
821#120—41no—
822#120—41no—
823#120—41no—
824#120—41no—
825#120—41no—
826#120—41no—
827C4×Q8—21no—
828C4×Q8—21no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8C2×D411yescharacteristic
834C4×Q8C2×D411yescharacteristic
835C4×Q8C2411yescharacteristic
836C4×Q8C2411yescharacteristic
837C4×Q8C2411yescharacteristic
838C4×D4—21no—
839C4×D4—21no—
840C4×D4—21no—
841C4×D4—21no—
842C4×D4—21no—
843C4×D4—21no—
844C4×D4—21no—
845C4×D4—21no—
846C4×D4—21no—
847C4×D4—21no—
848C4×D4—21no—
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4—41no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4—41no—
866C4×D4—41no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4—41no—
871C4×D4C2×D411yescharacteristic
872C4×D4C2×D411yescharacteristic
873C4×D4C2×D411yescharacteristic
874C4×D4C2×D411yescharacteristic
875C4×D4C2411yescharacteristic
876C4×D4C2411yescharacteristic
877C4×D4C2411yescharacteristic
878C4×D4C2411yescharacteristic
879C4×D4C2411yescharacteristic
880#117—21no—
881#117—21no—
882#117—21no—
883#117—21no—
884#117—21no—
885#117—21no—
886#117—21no—
887#117—21no—
888#117—41no—
889#117—41no—
890#117—41no—
891#117—41no—
892#117—41no—
893#117C2×D411yescharacteristic
894#117C2×D411yescharacteristic
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—41no—
900C2×C4⋊C4C2×D411yescharacteristic
901C2×C22⋊C4—21no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C42—21no—
908C2×C42—21no—
909C2×C42—41no—
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—41no—
920#107C2×D411yescharacteristic
921#107C2×D411yescharacteristic
922#107C2×D411yescharacteristic
923#107C2×D411yescharacteristic
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—41no—
931#106C2×D411yescharacteristic
932#106C2×D411yescharacteristic
933#106C2×D411yescharacteristic
934#106C2×D411yescharacteristic
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8—21no—
943C4⋊C8—21no—
944C4⋊C8C2×D411yescharacteristic
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
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—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—21no—
975#103—21no—
976#103—41no—
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
982#103C2×D411yescharacteristic
983#102—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—21no—
1012#102—21no—
1013#102—41no—
1014#102—41no—
1015#102—41no—
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023#102C2×D411yescharacteristic
1024#102C2×D411yescharacteristic
1025#102C2×D411yescharacteristic
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8—21no—
1037C22⋊C8C2×D411yescharacteristic
1038C22⋊C8C2×D411yescharacteristic
1039#97—21no—
1040#97—21no—
1041#97—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8—21no—
1047C4×C8C2×D411yescharacteristic
1048C4×C8C2×D411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C24—21no—
1056C24—41no—
1057C24—41no—
1058#41—22no—
1059#41—41no—
1060#41—41no—
1061#41—41no—
1062#41—42no—
1063#41—42no—
1064#41—42no—
1065#41—42no—
1066#41—42no—
1067#41—42no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—84no—
1073#41—81no—
1074#41—81no—
1075#41—81no—
1076#41—81no—
1077#41—84no—
1078#41—81no—
1079#41—81no—
1080#41—81no—
1081#41—81no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×Q8—42no—
1090C2×Q8—81no—
1091C2×Q8—81no—
1092C2×Q8—81no—
1093C2×Q8C22×D411yescharacteristic
1094C2×Q8C22×D411yescharacteristic
1095C2×Q8C22×D411yescharacteristic
1096C2×D4—22no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
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—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—84no—
1137C2×D4C22×D411yescharacteristic
1138C2×D4C22×D411yescharacteristic
1139C2×D4C22×D411yescharacteristic
1140C2×D4C22×D411yescharacteristic
1141C2×D4C22×D411yescharacteristic
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
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—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—84no—
1170C22×C4C22×D411yescharacteristic
1171C22×C4C22×D411yescharacteristic
1172C22×C4H(5,𝔽2)11yescharacteristic
1173Q16—22no—
1174Q16—81no—
1175Q16—81no—
1176Q16—81no—
1177Q16—81no—
1178SD16—22no—
1179SD16—22no—
1180SD16—41no—
1181SD16—41no—
1182SD16—42no—
1183SD16—42no—
1184SD16—42no—
1185SD16—81no—
1186SD16—81no—
1187SD16—81no—
1188SD16—81no—
1189SD16—82no—
1190SD16—81no—
1191SD16—81no—
1192SD16—81no—
1193SD16—81no—
1194SD16—81no—
1195SD16—81no—
1196SD16—81no—
1197D8—22no—
1198D8—41no—
1199D8—41no—
1200D8—42no—
1201D8—42no—
1202D8—42no—
1203D8—42no—
1204D8—81no—
1205D8—81no—
1206D8—81no—
1207D8—82no—
1208D8—81no—
1209D8—81no—
1210D8—81no—
1211D8—81no—
1212D8—81no—
1213M16—42no—
1214M16—42no—
1215M16—81no—
1216M16—81no—
1217M16—81no—
1218M16—81no—
1219M16—81no—
1220M16—81no—
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—81no—
1235C2×C8—81no—
1236C2×C8—81no—
1237C2×C8—81no—
1238C2×C8—81no—
1239C2×C8C22×D411yescharacteristic
1240C2×C8C22×D411yescharacteristic
1241C2×C8C22×D411yescharacteristic
1242C2×C8C22×D411yescharacteristic
1243C2×C8C22×D411yescharacteristic
1244C2×C8C22×D411yescharacteristic
1245C2×C8C22×D411yescharacteristic
1246C2×C8C22×D411yescharacteristic
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—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
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⋊C4C22×D411yescharacteristic
1281C4⋊C4C22×D411yescharacteristic
1282C4⋊C4C22×D411yescharacteristic
1283C4⋊C4C22×D411yescharacteristic
1284C4⋊C4C22×D411yescharacteristic
1285C4⋊C4C22×D411yescharacteristic
1286C4⋊C4C22×D411yescharacteristic
1287C4⋊C4C22×D411yescharacteristic
1288C22⋊C4—21no—
1289C22⋊C4—21no—
1290C22⋊C4—21no—
1291C22⋊C4—21no—
1292C22⋊C4—21no—
1293C22⋊C4—21no—
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—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
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—
1330C42—21no—
1331C42—21no—
1332C42—21no—
1333C42—21no—
1334C42—21no—
1335C42—21no—
1336C42—21no—
1337C42—41no—
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—21no—
1351C23—42no—
1352C23—42no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—81no—
1357C23—82no—
1358C23—82no—
1359C23—82no—
1360C23—161no—
1361C23—161no—
1362C23—161no—
1363C23D4211yescharacteristic
1364Q8—21no—
1365Q8—21no—
1366Q8—21no—
1367Q8—21no—
1368Q8—21no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—41no—
1373Q8—41no—
1374Q8—41no—
1375Q8—41no—
1376Q8—41no—
1377Q8—82no—
1378Q8—81no—
1379Q8—161no—
1380Q8#57512yes—
1381D4—21no—
1382D4—21no—
1383D4—21no—
1384D4—21no—
1385D4—21no—
1386D4—21no—
1387D4—21no—
1388D4—21no—
1389D4—21no—
1390D4—42no—
1391D4—42no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—82no—
1405D4—82no—
1406D4—81no—
1407D4—81no—
1408D4—81no—
1409D4—81no—
1410D4—81no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—82no—
1415D4—82no—
1416D4—82no—
1417D4—161no—
1418D4—161no—
1419D4—161no—
1420D4—161no—
1421D4—161no—
1422D4—161no—
1423D4—161no—
1424D4—161no—
1425D4—161no—
1426D4#57612yes—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—41no—
1443C2×C4—42no—
1444C2×C4—42no—
1445C2×C4—42no—
1446C2×C4—42no—
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—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—81no—
1463C2×C4—81no—
1464C2×C4—81no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
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—22no—
1485C8—21no—
1486C8—21no—
1487C8—21no—
1488C8—21no—
1489C8—21no—
1490C8—21no—
1491C8—21no—
1492C8—21no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C8—41no—
1497C8—41no—
1498C8—41no—
1499C8—41no—
1500C8—41no—
1501C8—41no—
1502C22—21no—
1503C22—22no—
1504C22—21no—
1505C22—21no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—84no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—164no—
1531C22—322no—
1532C22C2×D4211yescharacteristic
1533C4—21no—
1534C4—21no—
1535C4—22no—
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—81no—
1549C4—81no—
1550C4—81no—
1551C4—81no—
1552C4—81no—
1553C4C2×#57511yescharacteristic
1554C4C2×#57611yescharacteristic
1555C4#358411yescharacteristic
1556C4#358511yescharacteristic
1557C2—41no—
1558C2—42no—
1559C2—81no—
1560C2—81no—
1561C2—81no—
1562C2—81no—
1563C2—161no—
1564C2—161no—
1565C2—161no—
1566C2#6105611yescharacteristic
1567C2#6106611yescharacteristic
1568C2#6110511yescharacteristic
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. #62004C2semidirect
2. #62003C2semidirect
3. #61494C2semidirect
4. #61124C2semidirect
5. #20144C2semidirect
6. #20139C2semidirect
7. #20082C2semidirect
8. #20080C2semidirect
9. #20049C2semidirect
10. #20045C2semidirect
11. #20034C2semidirect
12. #20030C2semidirect
13. #20004C2semidirect
14. #20000C2semidirect
15. #19995C2semidirect
16. #19992C2semidirect
17. #19904C2semidirect
18. #19899C2semidirect
19. #19886C2semidirect
20. #19884C2semidirect
21. #19644C2semidirect
22. #19493C2semidirect
23. #19492C2semidirect
24. #19367C2semidirect
25. #19255C2semidirect
26. #18607C2semidirect
27. #18594C2semidirect
28. #18560C2semidirect
29. #18554C2semidirect
30. #18059C2semidirect
31. #17910C2semidirect
33. #3514C22semidirect
35. D4×#41C22semidirect
36. #3399C22semidirect
37. #3394C22semidirect
38. #3393C22semidirect
39. #3392C22semidirect
41. #3386C22semidirect
42. #3365C22semidirect
45. #3359C22semidirect
47. #3358C22semidirect
48. #3353C22semidirect
51. #3332C22semidirect
54. #3329C22semidirect
56. #3325C22semidirect
60. #3304C22semidirect
61. #3304C22semidirect
63. #3302C22semidirect
66. #3299C22semidirect
71. #3295C22semidirect
73. #3294C22semidirect
77. #3274C22semidirect
78. #3274C22semidirect
85. #3252C22semidirect
89. #3210C22semidirect
91. #3207C22semidirect
93. #3182C22semidirect
95. #3169C22semidirect
96. #3131C22semidirect
100. #3115C22semidirect
105. #3076C22semidirect
110. #3036C22semidirect
113. #2991C22semidirect
114. #2991C22semidirect
115. #2966C22semidirect
118. C2×C8×D4C22semidirect
120. #1723C22semidirect
121. #1721C22semidirect
122. #1719C22semidirect
123. #1717C22semidirect
124. #1711C22semidirect
125. #1709C22semidirect
126. #1708C22semidirect
127. #1706C22semidirect
128. #1703C22semidirect
129. #1701C22semidirect
130. #1700C22semidirect
131. #1699C22semidirect
132. #1699C22semidirect
133. #1698C22semidirect
134. #1697C22semidirect
135. #1697C22semidirect
136. #1689C22semidirect
137. #1687C22semidirect
138. #1685C22semidirect
139. #1685C22semidirect
140. #1684C22semidirect
141. #1684C22semidirect
142. #1683C22semidirect
143. #1682C22semidirect
144. #1682C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1681C22semidirect
149. #1681C22semidirect
150. #1680C22semidirect
151. #1678C22semidirect
152. #1673C22semidirect
153. #1673C22semidirect
154. #1670C22semidirect
155. #1668C22semidirect
157. #1667C22semidirect
158. #1666C22semidirect
159. #1666C22semidirect
160. #1654C22semidirect
161. #1652C22semidirect
162. #1651C22semidirect
163. #1651C22semidirect
164. #1650C22semidirect
165. #1648C22semidirect
167. #1647C22semidirect
168. #1646C22semidirect
169. #1643C22semidirect
170. #1642C22semidirect
171. #1642C22semidirect
172. #1641C22semidirect
173. #1640C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
176. #1636C22semidirect
177. #1635C22semidirect
178. #1631C22semidirect
179. #1631C22semidirect
180. #1628C22semidirect
181. #1628C22semidirect
183. #1627C22semidirect
186. #1624C22semidirect
187. #1622C22semidirect
189. #1620C22semidirect
191. #1619C22semidirect
192. #1589C22semidirect
193. #1589C22semidirect
194. #1588C22semidirect
195. #1588C22semidirect
196. #1588C22semidirect
197. #1588C22semidirect
199. #1586C22semidirect
200. #1585C22semidirect
201. #1585C22semidirect
202. C8×Q16C22semidirect
203. C8×Q16C22semidirect
204. C8×SD16C22semidirect
205. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1567C22semidirect
210. #1559C22semidirect
211. #1557C22semidirect
212. #1547C22semidirect
213. #1547C22semidirect
214. #1490C22semidirect
215. #1489C22semidirect
216. #1489C22semidirect
217. #1483C22semidirect
218. C8×M16C22semidirect

Maximal subgroups

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

subgroupindex
#620042
#620032
#614942
#611242
#201442
#201392
#200822
#200802
#200492
#200452
#200342
#200302
#200042
#200002
#199952
#199922
#199042
#198992
#198862
#198842
#196442
#194932
#194922
#193672
#192552
#186072
#185942
#185602
#185542
#180592
#179102