Finite Group Databasebeta

← #6366713

Subgroups — #6366713

Order 512.

1614 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62563C211yesmaximal, characteristic, complemented
2#62259C211yesmaximal, characteristic, complemented
3#61927C211yesmaximal, characteristic, complemented
4#61657C211yesmaximal, characteristic, complemented
5#20267C211yesmaximal, characteristic, complemented
6#20255C211yesmaximal, characteristic, complemented
7#20251C211yesmaximal, characteristic, complemented
8#20250C211yesmaximal, characteristic, complemented
9#20225C211yesmaximal, characteristic, complemented
10#20224C211yesmaximal, characteristic, complemented
11#20203C211yesmaximal, characteristic, complemented
12#20203C211yesmaximal, characteristic, complemented
13#20202C211yesmaximal, characteristic, complemented
14#20191C211yesmaximal, characteristic, complemented
15#20164C211yesmaximal, characteristic, complemented
16#20160C211yesmaximal, characteristic, complemented
17#19831C211yesmaximal, characteristic, complemented
18#19827C211yesmaximal, characteristic, complemented
19#19777C211yesmaximal, characteristic, complemented
20#19773C211yesmaximal, characteristic, complemented
21#19695C211yesmaximal, characteristic, complemented
22#19569C211yesmaximal, characteristic, complemented
23#19556C211yesmaximal, characteristic, complemented
24#19225C211yesmaximal, characteristic, complemented
25#19142C211yesmaximal, characteristic, complemented
26#18744C211yesmaximal, characteristic, complemented
27#18738C211yesmaximal, characteristic, complemented
28#18614C211yesmaximal, characteristic, complemented
29#18599C211yesmaximal, characteristic, complemented
30#18089C211yesmaximal, characteristic, complemented
31#17938C211yesmaximal, characteristic, complemented
32#3555C2211yescharacteristic, complemented
33#3546C2211yescharacteristic
34#3506C2211yescharacteristic, complemented
35#3496C2211yescharacteristic
36#3401—21no—
37#3398C2211yescharacteristic, complemented
38#3397C2211yescharacteristic, complemented
39#3394—21no—
40#3393C2211yescharacteristic, complemented
41#3392C2211yescharacteristic, complemented
42#3371—21no—
43#3369C2211yescharacteristic, complemented
44#3369C2211yescharacteristic, complemented
45#3368C2211yescharacteristic, complemented
46#3366C2211yescharacteristic, complemented
47#3365—21no—
48#3364C2211yescharacteristic, complemented
49#3362C2211yescharacteristic, complemented
50#3362C2211yescharacteristic, complemented
51#3360C2211yescharacteristic, complemented
52#3354—21no—
53#3353C2211yescharacteristic
54#3353C2211yescharacteristic, complemented
55#3332C2211yescharacteristic
56#3332C2211yescharacteristic, complemented
57#3331C2211yescharacteristic, complemented
58#3330—21no—
59#3330C2211yescharacteristic
60#3325—21no—
61#3324C2211yescharacteristic
62#3324C2211yescharacteristic
63#3324C2211yescharacteristic, complemented
64#3324C2211yescharacteristic, complemented
65#3322—21no—
66#3317—21no—
67#3311—21no—
68#3304—21no—
69#3302C2211yescharacteristic
70#3302C2211yescharacteristic, complemented
71#3297—21no—
72#3296—21no—
73#3295C2211yescharacteristic, complemented
74#3294C2211yescharacteristic
75#3284C2211yescharacteristic
76#3280—21no—
77D4×D8C2211yescharacteristic
78#3274C2211yescharacteristic
79#3274C2211yescharacteristic
80#3274C2211yescharacteristic, complemented
81#3273—21no—
82#3272—21no—
83#3272C2211yescharacteristic
84#3246C2211yescharacteristic, complemented
85#3245C2211yescharacteristic
86#3244—21no—
87#3235C2211yescharacteristic
88#3224—21no—
89#3222—21no—
90#3222—21no—
91#3216C2211yescharacteristic, complemented
92#3212C2211yescharacteristic
93#3212C2211yescharacteristic, complemented
94#3210C2211yescharacteristic, complemented
95#3207C2211yescharacteristic
96#3203—21no—
97#3198—21no—
98#3188—21no—
99#3188—21no—
100#3184C2211yescharacteristic, complemented
101#3182C2211yescharacteristic, complemented
102#3178—21no—
103#3169C2211yescharacteristic, complemented
104#3167C2211yescharacteristic
105#3136—21no—
106#3131C2211yescharacteristic, complemented
107#3125—21no—
108#3120—21no—
109#3105C2211yescharacteristic
110#3101C2211yescharacteristic, complemented
111#3100C2211yescharacteristic
112#3055—21no—
113#3055—21no—
114#3012—21no—
115#3008—21no—
116#2986C2211yescharacteristic, complemented
117#2979C2211yescharacteristic
118#2966C2211yescharacteristic, complemented
119C2×#436C2211yescharacteristic, complemented
120#1722C2211yescharacteristic, complemented
121#1721C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1719C2211yescharacteristic, complemented
124#1718C2211yescharacteristic, complemented
125#1717C2211yescharacteristic, complemented
126#1717C2211yescharacteristic, complemented
127#1717C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1697C2211yescharacteristic, complemented
139#1697C2211yescharacteristic, complemented
140#1694C2211yescharacteristic, complemented
141#1693C2211yescharacteristic, complemented
142#1689C2211yescharacteristic, complemented
143#1688C2211yescharacteristic, complemented
144#1688C2211yescharacteristic, complemented
145#1687C2211yescharacteristic, complemented
146#1686C2211yescharacteristic, complemented
147#1685C2211yescharacteristic, complemented
148#1683C2211yescharacteristic, complemented
149#1682C2211yescharacteristic, complemented
150#1682C2211yescharacteristic, complemented
151#1682C2211yescharacteristic, complemented
152#1681C2211yescharacteristic, complemented
153#1681C2211yescharacteristic, complemented
154#1680C2211yescharacteristic, complemented
155#1677C2211yescharacteristic, complemented
156#1669C2211yescharacteristic, complemented
157#1668C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1652C2211yescharacteristic, complemented
162#1652C2211yescharacteristic, complemented
163#1652C2211yescharacteristic, complemented
164#1650C2211yescharacteristic, complemented
165#1648C2211yescharacteristic, complemented
166#1647C2211yescharacteristic
167#1647C2211yescharacteristic, complemented
168#1645C2211yescharacteristic, complemented
169#1643C2211yescharacteristic, complemented
170#1641C2211yescharacteristic, complemented
171#1641C2211yescharacteristic, complemented
172#1641C2211yescharacteristic, complemented
173#1639C2211yescharacteristic
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1635C2211yescharacteristic
177#1635C2211yescharacteristic, complemented
178#1629C2211yescharacteristic
179#1629C2211yescharacteristic, complemented
180#1628C2211yescharacteristic, complemented
181#1628C2211yescharacteristic, complemented
182#1628C2211yescharacteristic, complemented
183#1628C2211yescharacteristic, complemented
184#1626C2211yescharacteristic, complemented
185#1625C2211yescharacteristic, complemented
186#1623C2211yescharacteristic, complemented
187#1622C2211yescharacteristic, complemented
188#1621C2211yescharacteristic, complemented
189#1621C2211yescharacteristic, complemented
190#1621C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1594C2211yescharacteristic, complemented
194#1592C2211yescharacteristic, complemented
195#1592C2211yescharacteristic, complemented
196#1592C2211yescharacteristic, complemented
197#1592C2211yescharacteristic, complemented
198#1583C2211yescharacteristic, complemented
199#1583C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1582C2211yescharacteristic, complemented
203#1582C2211yescharacteristic, complemented
204#1581C2211yescharacteristic, complemented
205#1581C2211yescharacteristic, complemented
206SD16⋊C8C2211yescharacteristic, complemented
207SD16⋊C8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1564C2211yescharacteristic, complemented
210#1553C2211yescharacteristic, complemented
211#1553C2211yescharacteristic, complemented
212#1542C2211yescharacteristic, complemented
213#1540C2211yescharacteristic, complemented
214#1490C2211yescharacteristic, complemented
215#1485C2211yescharacteristic, complemented
216#1484C2211yescharacteristic
217#1483C2211yescharacteristic, complemented
218#1451C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×#135—21no—
225C22×D8—21no—
226C22×M16—21no—
227#563—41no—
228#560—41no—
229#559—21no—
230#559—21no—
231Q82C2311yescharacteristic
232#557—21no—
233#557C2311yescharacteristic
234#556—21no—
235#556—21no—
236#556C2311yescharacteristic
237#556C2311yescharacteristic
238#556C2311yescharacteristic
239#556C2311yescharacteristic
240#555—21no—
241#554C2311yescharacteristic
242#553—21no—
243#553—41no—
244#552—21no—
245#550—21no—
246#550C2311yescharacteristic
247#550C2311yescharacteristic
248#550C2311yescharacteristic
249#547—21no—
250#547—21no—
251#547C2311yescharacteristic
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#546—21no—
255#546—21no—
256#546—21no—
257#546—21no—
258#546—41no—
259D42—21no—
260D42C2311yescharacteristic
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263#544—21no—
264#542—21no—
265#542—21no—
266#541—21no—
267#541—21no—
268#541—41no—
269#538—41no—
270#538—41no—
271#537—21no—
272#537—21no—
273#535—21no—
274#535—21no—
275#535—21no—
276#534—41no—
277#533C2311yescharacteristic
278#533C2311yescharacteristic
279#532C2311yescharacteristic
280#532C2311yescharacteristic
281#532C2311yescharacteristic
282#532C2311yescharacteristic
283#529C2311yescharacteristic
284#525—21no—
285#525—21no—
286C2×#121—21no—
287C2×#121—21no—
288#520—21no—
289C2×C4×D4C2311yescharacteristic
290#501—21no—
291#500C2311yescharacteristic
292#500C2311yescharacteristic
293#498D411yescharacteristic
294#498C2311yescharacteristic
295#497—21no—
296#497—21no—
297#496—21no—
298#495—21no—
299#495—21no—
300#495—21no—
301#494C2311yescharacteristic
302#493C2311yescharacteristic
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#492—21no—
306#492D411yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#492C2311yescharacteristic
310#490—21no—
311#490—21no—
312#490—21no—
313#489—21no—
314#489—21no—
315#489—21no—
316#488—21no—
317#488—21no—
318#488—21no—
319#488—21no—
320#488—21no—
321#488—21no—
322#487D411yescharacteristic
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#487C2311yescharacteristic
326#487C2311yescharacteristic
327#487C2311yescharacteristic
328#486—21no—
329#486—21no—
330#486D411yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#486C2311yescharacteristic
336#486C2311yescharacteristic
337#486C2311yescharacteristic
338#486C2311yescharacteristic
339#486C2311yescharacteristic
340#485—21no—
341#485—21no—
342#484—21no—
343#484—21no—
344#484—21no—
345#484D411yescharacteristic
346#483—21no—
347#483—21no—
348#482—21no—
349#482—21no—
350#482—21no—
351#482—21no—
352#482—21no—
353#482—21no—
354#482—21no—
355#482—21no—
356#481—21no—
357#481—21no—
358#481—21no—
359#481D411yescharacteristic
360#480—21no—
361#480—21no—
362#479—21no—
363#479—21no—
364#478—21no—
365#478—21no—
366#478D411yescharacteristic
367#478D411yescharacteristic
368#476—21no—
369#476—21no—
370#476—21no—
371#476C2311yescharacteristic
372#476C2311yescharacteristic
373#476C2311yescharacteristic
374#476C2311yescharacteristic
375#475—21no—
376#475—21no—
377#475C2311yescharacteristic
378#475C2311yescharacteristic
379#474—21no—
380#474C2311yescharacteristic
381#474C2311yescharacteristic
382#474C2311yescharacteristic
383#474C2311yescharacteristic
384#474C2311yescharacteristic
385#474C2311yescharacteristic
386#470—21no—
387#469—21no—
388#469—21no—
389#469—21no—
390#469—21no—
391#469—21no—
392#469—41no—
393#468—21no—
394#468—21no—
395#468—21no—
396#468—21no—
397#468—21no—
398#468—21no—
399#468—21no—
400#468—21no—
401#468—41no—
402#467—21no—
403#467—21no—
404#466—21no—
405#466—21no—
406#466—21no—
407#466—21no—
408#466—21no—
409#466—21no—
410#465—21no—
411#465—21no—
412#465—21no—
413#465—21no—
414#465D411yescharacteristic
415#465D411yescharacteristic
416#465D411yescharacteristic
417#465D411yescharacteristic
418#464—21no—
419#464—21no—
420#464—21no—
421#464—21no—
422#464—21no—
423#464—21no—
424#464—21no—
425#464—21no—
426#463—21no—
427#463—21no—
428#463—21no—
429#463—21no—
430#463D411yescharacteristic
431#463D411yescharacteristic
432#462—21no—
433#462C2311yescharacteristic
434#462C2311yescharacteristic
435#462C2311yescharacteristic
436#462C2311yescharacteristic
437#461—21no—
438#461—21no—
439#461C2311yescharacteristic
440#461C2311yescharacteristic
441#461C2311yescharacteristic
442#461C2311yescharacteristic
443#460—21no—
444#460—21no—
445#460—21no—
446#460—21no—
447#460—21no—
448#460C2311yescharacteristic
449#460C2311yescharacteristic
450#460C2311yescharacteristic
451#460C2311yescharacteristic
452#460C2311yescharacteristic
453#460C2311yescharacteristic
454#459—21no—
455#459—21no—
456#459C2311yescharacteristic
457#459C2311yescharacteristic
458#459C2311yescharacteristic
459#459C2311yescharacteristic
460#459C2311yescharacteristic
461#459C2311yescharacteristic
462#452—21no—
463#452—21no—
464#452—21no—
465#452—21no—
466#452—21no—
467#452—21no—
468#452—21no—
469#452—21no—
470#452—21no—
471#452—21no—
472#450—21no—
473#450—21no—
474#450—21no—
475#450—21no—
476#450—21no—
477#450—21no—
478#450—21no—
479#450D411yescharacteristic
480#449—21no—
481#449—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#447—21no—
493#447—21no—
494#447—21no—
495#447—21no—
496#447—21no—
497#447—21no—
498#447—21no—
499#447D411yescharacteristic
500#446—21no—
501#446C2311yescharacteristic
502#446C2311yescharacteristic
503#446C2311yescharacteristic
504C8×Q8—21no—
505C8×Q8C2311yescharacteristic
506C8×Q8C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508#442—21no—
509#442—41no—
510#441—21no—
511#441—21no—
512#441—21no—
513#440—21no—
514#440—21no—
515#440—41no—
516C4×Q16—21no—
517C4×Q16—21no—
518C4×SD16—21no—
519C4×SD16—21no—
520C4×SD16—21no—
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16—21no—
524C4×SD16C2311yescharacteristic
525C4×SD16C2311yescharacteristic
526C4×SD16C2311yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×SD16C2311yescharacteristic
529C4×SD16C2311yescharacteristic
530C4×D8—21no—
531C4×D8—21no—
532C4×D8—21no—
533C4×D8—21no—
534C4×D8C2311yescharacteristic
535C4×D8C2311yescharacteristic
536#436—21no—
537#436—21no—
538#436—21no—
539#436C2311yescharacteristic
540#436C2311yescharacteristic
541#436C2311yescharacteristic
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#435—21no—
547C8×D4—21no—
548C8×D4—21no—
549C8×D4C2311yescharacteristic
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552#433—21no—
553#433—21no—
554#433—21no—
555#432C2311yescharacteristic
556#431C2311yescharacteristic
557#431C2311yescharacteristic
558#431C2311yescharacteristic
559#428—21no—
560#428—21no—
561C2×C4⋊C8C2311yescharacteristic
562#418—21no—
563#418—21no—
564#418—21no—
565#418—21no—
566#417—21no—
567#417—21no—
568#417—21no—
569#417—21no—
570#416—21no—
571#416—21no—
572#416—21no—
573#416—21no—
574C2×#102—21no—
575C2×#102—21no—
576#408—21no—
577#408—21no—
578C2×C22⋊C8—21no—
579#405—21no—
580C4×M16C2311yescharacteristic
581C2×C4×C8C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
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
624#322C2311yescharacteristic
625#322C2311yescharacteristic
626H(5,𝔽2)—82no—
627H(5,𝔽2)—82no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—21no—
636C2×#41—21no—
637C2×#41—21no—
638C2×#41—41no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—41no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4C2×D411yescharacteristic
649C23×C4—21no—
650AGL(1,ℤ/8)—82no—
651AGL(1,ℤ/8)—82no—
652AGL(1,ℤ/8)—82no—
653AGL(1,ℤ/8)—82no—
654#135—82no—
655C2×Q16—21no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16—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×SD16C2×D411yescharacteristic
677C2×SD16C2×D411yescharacteristic
678C2×SD16C2×D411yescharacteristic
679C2×SD16C2×D411yescharacteristic
680C2×SD16C2×D411yescharacteristic
681C2×SD16C2×D411yescharacteristic
682C2×D8—21no—
683C2×D8—21no—
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—41no—
693C2×D8—82no—
694C2×D8C2×D411yescharacteristic
695C2×D8C2×D411yescharacteristic
696C2×M16—21no—
697C2×M16—21no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—21no—
703C2×M16—21no—
704C2×M16—82no—
705C22×C8—21no—
706C22×C8—21no—
707C22×C8—21no—
708C22×C8—21no—
709C22×C8C2×D411yescharacteristic
710C22×C8C2×D411yescharacteristic
711C4⋊Q8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—21no—
714C4⋊Q8—41no—
715C4⋊Q8—41no—
716C4⋊Q8C2×D411yescharacteristic
717C4⋊Q8C2×D411yescharacteristic
718C4⋊Q8C2×D411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722C4⋊Q8C2411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724#127—21no—
725#127—21no—
726#127—21no—
727#127—41no—
728#127C2×D411yescharacteristic
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#126—41no—
740#126—41no—
741#126—41no—
742#126—41no—
743#125—21no—
744#125—21no—
745#125—21no—
746#125—21no—
747#125—41no—
748#125—41no—
749#125—41no—
750#125—41no—
751#125—41no—
752#125C2×D411yescharacteristic
753#124—21no—
754#124—21no—
755#124—21no—
756#124—21no—
757#124—21no—
758#124—21no—
759#124—21no—
760#124—21no—
761#124—41no—
762#124—41no—
763#124—41no—
764#124—41no—
765#124C2×D411yescharacteristic
766#123—21no—
767#123—41no—
768#123—41no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773#123—41no—
774#123—41no—
775#123—41no—
776#123—41no—
777#123—41no—
778#123—41no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8C2×D411yescharacteristic
796C22⋊Q8C2×D411yescharacteristic
797C22⋊Q8C2×D411yescharacteristic
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—21no—
808#121—21no—
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—21no—
817#121—41no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121—41no—
830#121—41no—
831#121—41no—
832#121C2×D411yescharacteristic
833#121C2×D411yescharacteristic
834#121C2×D411yescharacteristic
835#120—41no—
836#120—41no—
837#120—41no—
838#120—41no—
839#120—41no—
840#120—41no—
841#120—41no—
842#120—41no—
843#120—41no—
844#120—41no—
845C4×Q8—21no—
846C4×Q8—21no—
847C4×Q8—21no—
848C4×Q8—21no—
849C4×Q8—21no—
850C4×Q8—21no—
851C4×Q8—21no—
852C4×Q8—21no—
853C4×Q8—21no—
854C4×Q8—21no—
855C4×Q8—21no—
856C4×Q8—41no—
857C4×Q8C2411yescharacteristic
858C4×Q8C2411yescharacteristic
859C4×Q8C2411yescharacteristic
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—21no—
866C4×D4—21no—
867C4×D4—21no—
868C4×D4—21no—
869C4×D4—21no—
870C4×D4—21no—
871C4×D4—21no—
872C4×D4—21no—
873C4×D4—21no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4—41no—
878C4×D4—41no—
879C4×D4C2×D411yescharacteristic
880C4×D4C2×D411yescharacteristic
881C4×D4C2411yescharacteristic
882C4×D4C2411yescharacteristic
883C4×D4C2411yescharacteristic
884C4×D4C2411yescharacteristic
885C4×D4C2411yescharacteristic
886#117—21no—
887#117—21no—
888#117—21no—
889#117—21no—
890#117—21no—
891#117—21no—
892#117—21no—
893#117—41no—
894#117—41no—
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×C42C2411yescharacteristic
906#107—21no—
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107—21no—
913#107—21no—
914#107—41no—
915#107C2×D411yescharacteristic
916#107C2×D411yescharacteristic
917#106—21no—
918#106—21no—
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—41no—
924#106C2×D411yescharacteristic
925#106C2×D411yescharacteristic
926#106C2×D411yescharacteristic
927#106C2×D411yescharacteristic
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930C4⋊C8—21no—
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8C2×D411yescharacteristic
938C4⋊C8C2×D411yescharacteristic
939C4⋊C8C2411yescharacteristic
940C4⋊C8C2411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
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—41no—
966#103C2×D411yescharacteristic
967#103C2×D411yescharacteristic
968#103C2×D411yescharacteristic
969#103C2×D411yescharacteristic
970#103C2×D411yescharacteristic
971#103C2×D411yescharacteristic
972#102—21no—
973#102—21no—
974#102—21no—
975#102—21no—
976#102—21no—
977#102—21no—
978#102—21no—
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—41no—
1007#102—41no—
1008#102—41no—
1009#102C2×D411yescharacteristic
1010#102C2×D411yescharacteristic
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
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⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8C2×D411yescharacteristic
1033C22⋊C8C2×D411yescharacteristic
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039C4×C8—21no—
1040C4×C8—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8C2×D411yescharacteristic
1045C4×C8C2×D411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C24—21no—
1053C24—41no—
1054C24—41no—
1055C24—41no—
1056#41—42no—
1057#41—42no—
1058#41—81no—
1059#41—81no—
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—81no—
1071#41—81no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075#41—81no—
1076#41—84no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—41no—
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—41no—
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—42no—
1118C2×D4—42no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—84no—
1136C2×D4—84no—
1137C2×D4—84no—
1138C2×D4C22×D411yescharacteristic
1139C2×D4C22×D411yescharacteristic
1140C2×D4C22×D411yescharacteristic
1141C2×D4C22×D411yescharacteristic
1142C2×D4C22×D411yescharacteristic
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—41no—
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—81no—
1162C22×C4—81no—
1163C22×C4C22×D411yescharacteristic
1164C22×C4C22×D411yescharacteristic
1165C22×C4H(5,𝔽2)11yescharacteristic
1166Q16—81no—
1167Q16—81no—
1168Q16—81no—
1169Q16—81no—
1170Q16—81no—
1171Q16—81no—
1172SD16—41no—
1173SD16—41no—
1174SD16—41no—
1175SD16—41no—
1176SD16—41no—
1177SD16—41no—
1178SD16—81no—
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—82no—
1193D8—41no—
1194D8—41no—
1195D8—42no—
1196D8—42no—
1197D8—42no—
1198D8—81no—
1199D8—81no—
1200D8—81no—
1201D8—81no—
1202D8—81no—
1203D8—81no—
1204D8—81no—
1205D8—82no—
1206M16—42no—
1207M16—42no—
1208M16—81no—
1209M16—81no—
1210M16—81no—
1211M16—81no—
1212M16—81no—
1213M16—81no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—41no—
1225C2×C8—41no—
1226C2×C8—81no—
1227C2×C8—81no—
1228C2×C8—81no—
1229C2×C8—81no—
1230C2×C8C22×D411yescharacteristic
1231C2×C8C22×D411yescharacteristic
1232C2×C8C22×D411yescharacteristic
1233C2×C8C22×D411yescharacteristic
1234C2×C8C22×D411yescharacteristic
1235C2×C8C22×D411yescharacteristic
1236C2×C8C22×D411yescharacteristic
1237C2×C8C22×D411yescharacteristic
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
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—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
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⋊C4C22×D411yescharacteristic
1278C4⋊C4C22×D411yescharacteristic
1279C4⋊C4C22×D411yescharacteristic
1280C4⋊C4C22×D411yescharacteristic
1281C4⋊C4C22×D411yescharacteristic
1282C4⋊C4C22×D411yescharacteristic
1283C4⋊C4C22×D411yescharacteristic
1284C4⋊C4C22×D411yescharacteristic
1285C22⋊C4—21no—
1286C22⋊C4—21no—
1287C22⋊C4—21no—
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—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
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—
1325C42—21no—
1326C42—21no—
1327C42—21no—
1328C42—41no—
1329C42—41no—
1330C42—41no—
1331C42—41no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42C22×D411yescharacteristic
1336C42C22×D411yescharacteristic
1337C42H(5,𝔽2)11yescharacteristic
1338C42C2511yescharacteristic
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—42no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—81no—
1349C23—81no—
1350C23—82no—
1351C23—82no—
1352C23—161no—
1353C23—161no—
1354C23—161no—
1355C23—161no—
1356C23—161no—
1357C23—161no—
1358C23—161no—
1359C23D4211yescharacteristic
1360Q8—21no—
1361Q8—21no—
1362Q8—21no—
1363Q8—21no—
1364Q8—21no—
1365Q8—21no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—41no—
1373Q8—41no—
1374Q8—81no—
1375Q8—81no—
1376Q8—81no—
1377Q8—161no—
1378D4—21no—
1379D4—21no—
1380D4—21no—
1381D4—21no—
1382D4—21no—
1383D4—21no—
1384D4—21no—
1385D4—21no—
1386D4—21no—
1387D4—21no—
1388D4—42no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—81no—
1402D4—81no—
1403D4—81no—
1404D4—81no—
1405D4—81no—
1406D4—81no—
1407D4—81no—
1408D4—81no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—82no—
1415D4—161no—
1416D4—161no—
1417D4—161no—
1418D4—161no—
1419D4—161no—
1420D4—161no—
1421D4—161no—
1422D4—161no—
1423D4—161no—
1424D4—161no—
1425D4—161no—
1426D4—161no—
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—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—81no—
1459C2×C4—81no—
1460C2×C4—82no—
1461C2×C4—82no—
1462C2×C4—81no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—161no—
1466C2×C4—161no—
1467C2×C4—161no—
1468C2×C4—161no—
1469C2×C4—161no—
1470C2×C4—161no—
1471C2×C4D4211yescharacteristic
1472C2×C4D4211yescharacteristic
1473C2×C4D4211yescharacteristic
1474C2×C4C23×D411yescharacteristic
1475C2×C4C23×D411yescharacteristic
1476C2×C4C2×H(5,𝔽2)11yescharacteristic
1477C8—21no—
1478C8—21no—
1479C8—21no—
1480C8—21no—
1481C8—21no—
1482C8—21no—
1483C8—21no—
1484C8—21no—
1485C8—41no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C22—21no—
1496C22—21no—
1497C22—21no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—162no—
1523C22—322no—
1524C22—322no—
1525C22—322no—
1526C22C2×D4211yescharacteristic
1527C4—21no—
1528C4—21no—
1529C4—21no—
1530C4—21no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—81no—
1543C4—81no—
1544C4—81no—
1545C4—81no—
1546C4—81no—
1547C4#358411yescharacteristic
1548C4#358511yescharacteristic
1549C4#358511yescharacteristic
1550C4#358511yescharacteristic
1551C2—41no—
1552C2—81no—
1553C2—81no—
1554C2—81no—
1555C2—81no—
1556C2—81no—
1557C2—161no—
1558C2—161no—
1559C2—161no—
1560C2#6105911yescharacteristic
1561C2#6109211yescharacteristic
1562C2#6110011yescharacteristic
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. #62563C2semidirect
2. #62259C2semidirect
3. #61927C2semidirect
4. #61657C2semidirect
5. #20267C2semidirect
6. #20255C2semidirect
7. #20251C2semidirect
8. #20250C2semidirect
9. #20225C2semidirect
10. #20224C2semidirect
11. #20203C2semidirect
12. #20203C2semidirect
13. #20202C2semidirect
14. #20191C2semidirect
15. #20164C2semidirect
16. #20160C2semidirect
17. #19831C2semidirect
18. #19827C2semidirect
19. #19777C2semidirect
20. #19773C2semidirect
21. #19695C2semidirect
22. #19569C2semidirect
23. #19556C2semidirect
24. #19225C2semidirect
25. #19142C2semidirect
26. #18744C2semidirect
27. #18738C2semidirect
28. #18614C2semidirect
29. #18599C2semidirect
30. #18089C2semidirect
31. #17938C2semidirect
32. #3555C22semidirect
34. #3506C22semidirect
37. #3398C22semidirect
38. #3397C22semidirect
40. #3393C22semidirect
41. #3392C22semidirect
43. #3369C22semidirect
44. #3369C22semidirect
45. #3368C22semidirect
46. #3366C22semidirect
48. #3364C22semidirect
49. #3362C22semidirect
50. #3362C22semidirect
51. #3360C22semidirect
54. #3353C22semidirect
56. #3332C22semidirect
57. #3331C22semidirect
63. #3324C22semidirect
64. #3324C22semidirect
70. #3302C22semidirect
73. #3295C22semidirect
80. #3274C22semidirect
84. #3246C22semidirect
91. #3216C22semidirect
93. #3212C22semidirect
94. #3210C22semidirect
100. #3184C22semidirect
101. #3182C22semidirect
103. #3169C22semidirect
106. #3131C22semidirect
110. #3101C22semidirect
116. #2986C22semidirect
118. #2966C22semidirect
119. C2×#436C22semidirect
120. #1722C22semidirect
121. #1721C22semidirect
122. #1720C22semidirect
123. #1719C22semidirect
124. #1718C22semidirect
125. #1717C22semidirect
126. #1717C22semidirect
127. #1717C22semidirect
128. #1703C22semidirect
129. #1703C22semidirect
130. #1703C22semidirect
131. #1702C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1700C22semidirect
135. #1699C22semidirect
136. #1699C22semidirect
137. #1697C22semidirect
138. #1697C22semidirect
139. #1697C22semidirect
140. #1694C22semidirect
141. #1693C22semidirect
142. #1689C22semidirect
143. #1688C22semidirect
144. #1688C22semidirect
145. #1687C22semidirect
146. #1686C22semidirect
147. #1685C22semidirect
148. #1683C22semidirect
149. #1682C22semidirect
150. #1682C22semidirect
151. #1682C22semidirect
152. #1681C22semidirect
153. #1681C22semidirect
154. #1680C22semidirect
155. #1677C22semidirect
156. #1669C22semidirect
157. #1668C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1652C22semidirect
162. #1652C22semidirect
163. #1652C22semidirect
164. #1650C22semidirect
165. #1648C22semidirect
167. #1647C22semidirect
168. #1645C22semidirect
169. #1643C22semidirect
170. #1641C22semidirect
171. #1641C22semidirect
172. #1641C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
177. #1635C22semidirect
179. #1629C22semidirect
180. #1628C22semidirect
181. #1628C22semidirect
182. #1628C22semidirect
183. #1628C22semidirect
184. #1626C22semidirect
185. #1625C22semidirect
186. #1623C22semidirect
187. #1622C22semidirect
188. #1621C22semidirect
189. #1621C22semidirect
190. #1621C22semidirect
191. #1619C22semidirect
192. #1594C22semidirect
193. #1594C22semidirect
194. #1592C22semidirect
195. #1592C22semidirect
196. #1592C22semidirect
197. #1592C22semidirect
198. #1583C22semidirect
199. #1583C22semidirect
200. #1583C22semidirect
201. #1583C22semidirect
202. #1582C22semidirect
203. #1582C22semidirect
204. #1581C22semidirect
205. #1581C22semidirect
206. SD16⋊C8C22semidirect
207. SD16⋊C8C22semidirect
208. #1573C22semidirect
209. #1564C22semidirect
210. #1553C22semidirect
211. #1553C22semidirect
212. #1542C22semidirect
213. #1540C22semidirect
214. #1490C22semidirect
215. #1485C22semidirect
217. #1483C22semidirect
218. #1451C22semidirect

Maximal subgroups

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

subgroupindex
#625632
#622592
#619272
#616572
#202672
#202552
#202512
#202502
#202252
#202242
#202032
#202022
#201912
#201642
#201602
#198312
#198272
#197772
#197732
#196952
#195692
#195562
#192252
#191422
#187442
#187382
#186142
#185992
#180892
#179382