Finite Group Databasebeta

← #6369275

Subgroups — #6369275

Order 512.

1761 conjugacy classes of subgroups.

The subgroup lattice has 1609 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61993C211yesmaximal, characteristic, complemented
2#61600C211yesmaximal, characteristic, complemented
3#61545C211yesmaximal, characteristic, complemented
4#61155C211yesmaximal, characteristic, complemented
5#20303C211yesmaximal, characteristic, complemented
6#20267C211yesmaximal, characteristic, complemented
7#20258C211yesmaximal, characteristic, complemented
8#20191C211yesmaximal, characteristic, complemented
9#20176C211yesmaximal, characteristic, complemented
10#20057C211yesmaximal, characteristic, complemented
11#20057C211yesmaximal, characteristic, complemented
12#20039C211yesmaximal, characteristic, complemented
13#20027C211yesmaximal, characteristic, complemented
14#19970C211yesmaximal, characteristic, complemented
15#19913C211yesmaximal, characteristic, complemented
16#19899C211yesmaximal, characteristic, complemented
17#19819C211yesmaximal, characteristic, complemented
18#19788C211yesmaximal, characteristic, complemented
19#19772C211yesmaximal, characteristic, complemented
20#19758C211yesmaximal, characteristic, complemented
21#19715C211yesmaximal, characteristic, complemented
22#19483C211yesmaximal, characteristic, complemented
23#19460C211yesmaximal, characteristic, complemented
24#19380C211yesmaximal, characteristic, complemented
25#19304C211yesmaximal, characteristic, complemented
26#18850C211yesmaximal, characteristic, complemented
27#18823C211yesmaximal, characteristic, complemented
28#18807C211yesmaximal, characteristic, complemented
29#18746C211yesmaximal, characteristic, complemented
30#18050C211yesmaximal, characteristic, complemented
31#18008C211yesmaximal, characteristic, complemented
32#3520C2211yescharacteristic
33#3517C2211yescharacteristic, complemented
34#3475C2211yescharacteristic
35C2×D42C2211yescharacteristic
36#3398C2211yescharacteristic, complemented
37#3397C2211yescharacteristic, complemented
38#3397C2211yescharacteristic, complemented
39#3386C2211yescharacteristic, complemented
40#3372C2211yescharacteristic, complemented
41#3366C2211yescharacteristic, complemented
42#3364C2211yescharacteristic, complemented
43#3358C2211yescharacteristic, complemented
44#3346—21no—
45#3334C2211yescharacteristic, complemented
46#3333—21no—
47#3332C2211yescharacteristic, complemented
48#3330C2211yescharacteristic, complemented
49#3325C2211yescharacteristic
50#3325C2211yescharacteristic
51#3324C2211yescharacteristic
52#3324C2211yescharacteristic
53#3324C2211yescharacteristic
54#3324C2211yescharacteristic
55#3322—21no—
56#3318—21no—
57#3318—21no—
58#3317—21no—
59#3315—21no—
60#3310—21no—
61#3310—21no—
62#3310—21no—
63#3310—21no—
64#3305C2211yescharacteristic, complemented
65#3303C2211yescharacteristic, complemented
66#3295C2211yescharacteristic
67#3295C2211yescharacteristic
68#3294C2211yescharacteristic
69#3294C2211yescharacteristic
70#3294C2211yescharacteristic
71#3294C2211yescharacteristic
72#3284C2211yescharacteristic, complemented
73#3284C2211yescharacteristic, complemented
74#3283C2211yescharacteristic, complemented
75D4×SD16C2211yescharacteristic
76D4×SD16C2211yescharacteristic
77#3272C2211yescharacteristic
78#3272C2211yescharacteristic
79#3268—21no—
80#3268—21no—
81#3267—21no—
82#3265—21no—
83#3265—21no—
84#3252C2211yescharacteristic, complemented
85#3250—21no—
86#3231C2211yescharacteristic, complemented
87#3219—21no—
88#3217C2211yescharacteristic
89#3210C2211yescharacteristic, complemented
90#3208C2211yescharacteristic
91#3205C2211yescharacteristic
92#3193—21no—
93#3188—21no—
94#3182C2211yescharacteristic, complemented
95#3179—21no—
96#3138C2211yescharacteristic
97#3124—21no—
98#3119—21no—
99#3111—21no—
100#3110C2211yescharacteristic
101#3107C2211yescharacteristic, complemented
102#3105C2211yescharacteristic
103#3100C2211yescharacteristic
104#3094—21no—
105#3077C2211yescharacteristic
106#3055—21no—
107#3038C2211yescharacteristic
108#3036C2211yescharacteristic
109#3035—21no—
110#3003—21no—
111#3003—21no—
112C2×#450—21no—
113#2990C2211yescharacteristic, complemented
114#2974C2211yescharacteristic
115#2969C2211yescharacteristic, complemented
116#2951—21no—
117C4×AGL(1,ℤ/8)C2211yescharacteristic
118D4×M16C2211yescharacteristic
119C2×#418—21no—
120#1722C2211yescharacteristic, complemented
121#1720C2211yescharacteristic, complemented
122#1719C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1717C2211yescharacteristic, complemented
125#1715C2211yescharacteristic, complemented
126#1711C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1699C2211yescharacteristic, complemented
135#1698C2211yescharacteristic, complemented
136#1697C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1693C2211yescharacteristic, complemented
139#1689C2211yescharacteristic, complemented
140#1686C2211yescharacteristic, complemented
141#1686C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1682C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1681C2211yescharacteristic, complemented
149#1681C2211yescharacteristic, complemented
150#1679C2211yescharacteristic, complemented
151#1678C2211yescharacteristic, complemented
152#1677C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1673C2211yescharacteristic, complemented
155#1669C2211yescharacteristic, complemented
156#1665C2211yescharacteristic, complemented
157#1665C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1654C2211yescharacteristic, complemented
162#1652C2211yescharacteristic, complemented
163#1652C2211yescharacteristic, complemented
164#1650C2211yescharacteristic, complemented
165#1649C2211yescharacteristic, complemented
166#1647C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1646C2211yescharacteristic, complemented
169#1646C2211yescharacteristic, complemented
170#1644C2211yescharacteristic, complemented
171#1643C2211yescharacteristic, complemented
172#1639C2211yescharacteristic
173#1639C2211yescharacteristic
174#1639C2211yescharacteristic
175#1639C2211yescharacteristic
176#1638C2211yescharacteristic, complemented
177#1637C2211yescharacteristic, complemented
178#1635C2211yescharacteristic, complemented
179#1635C2211yescharacteristic, complemented
180#1626C2211yescharacteristic, complemented
181#1626C2211yescharacteristic, complemented
182#1625C2211yescharacteristic, complemented
183#1625C2211yescharacteristic, complemented
184#1621C2211yescharacteristic, complemented
185#1621C2211yescharacteristic, complemented
186#1621C2211yescharacteristic, complemented
187#1621C2211yescharacteristic, complemented
188#1619C2211yescharacteristic
189#1619C2211yescharacteristic
190#1619C2211yescharacteristic
191#1619C2211yescharacteristic
192#1592C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1586C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1585C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1580C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1561C2211yescharacteristic, complemented
211#1557C2211yescharacteristic, complemented
212#1554C2211yescharacteristic, complemented
213#1545C2211yescharacteristic
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic
217#1478C2211yescharacteristic
218#1453C2211yescharacteristic, complemented
219C23×D4—21no—
220C23×D4—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)D411yescharacteristic
226C2×#135—21no—
227C2×#135—21no—
228C2×#135—21no—
229C22×SD16—21no—
230C22×SD16—21no—
231C22×M16—21no—
232#557C2311yescharacteristic, complemented
233#556C2311yescharacteristic
234#556C2311yescharacteristic
235#555C2311yescharacteristic
236#554—21no—
237#554C2311yescharacteristic
238#553—21no—
239#553—21no—
240#553—41no—
241#552—21no—
242#552—21no—
243#552—21no—
244#551—41no—
245#551—41no—
246#550—21no—
247#550—21no—
248#550C2311yescharacteristic, complemented
249#550C2311yescharacteristic, complemented
250D4×Q8C2311yescharacteristic
251#548—21no—
252#547—21no—
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#547C2311yescharacteristic, complemented
257#546—21no—
258#546—21no—
259D42—21no—
260D42—21no—
261D42—21no—
262D42—21no—
263D42—41no—
264D42C2311yescharacteristic
265D42C2311yescharacteristic
266D42C2311yescharacteristic
267D42C2311yescharacteristic
268#542—21no—
269#540—21no—
270#540—41no—
271#539—41no—
272#533C2311yescharacteristic
273#533C2311yescharacteristic
274#532—21no—
275#532C2311yescharacteristic
276C2×#127C2311yescharacteristic
277#529—21no—
278#529—21no—
279#529—41no—
280#529C2311yescharacteristic
281#525—21no—
282#525—21no—
283C2×C22⋊Q8—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#120—41no—
287#520—21no—
288#520—21no—
289C4×#41—21no—
290C4×#41C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×#117—21no—
294#501—21no—
295#500C2311yescharacteristic, complemented
296#500C2311yescharacteristic, complemented
297#498C2311yescharacteristic, complemented
298#497—21no—
299#496—21no—
300#496—21no—
301#496—21no—
302#494C2311yescharacteristic, complemented
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#492C2311yescharacteristic
306#492C2311yescharacteristic
307#492C2311yescharacteristic, complemented
308#492C2311yescharacteristic, complemented
309#491—21no—
310#490—21no—
311#490—21no—
312#490—21no—
313#490—21no—
314#488—21no—
315#487C2311yescharacteristic, complemented
316#487C2311yescharacteristic, complemented
317#487C2311yescharacteristic, complemented
318#487C2311yescharacteristic, complemented
319#486—21no—
320#486C2311yescharacteristic
321#486C2311yescharacteristic
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic
327#486C2311yescharacteristic
328#486C2311yescharacteristic, complemented
329#486C2311yescharacteristic, complemented
330#485—21no—
331#485—21no—
332#485—41no—
333#484—21no—
334#484—21no—
335#484D411yescharacteristic
336#482—21no—
337#482—21no—
338#482—21no—
339#482—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#481—21no—
344#481—21no—
345#481—21no—
346#481D411yescharacteristic
347#480—21no—
348#480—21no—
349#480—21no—
350#480—21no—
351#480—21no—
352#480—21no—
353#480—21no—
354#479—21no—
355#479—21no—
356#479—21no—
357#479—41no—
358#478—21no—
359#478—21no—
360#478—21no—
361#478—21no—
362#478D411yescharacteristic
363#478D411yescharacteristic
364#477—21no—
365#477C2311yescharacteristic, complemented
366#476C2311yescharacteristic
367#476C2311yescharacteristic
368#476C2311yescharacteristic, complemented
369#475C2311yescharacteristic, complemented
370#474—21no—
371#474C2311yescharacteristic
372#474C2311yescharacteristic
373#474C2311yescharacteristic
374#474C2311yescharacteristic
375#474C2311yescharacteristic
376#474C2311yescharacteristic
377#474C2311yescharacteristic, complemented
378#470—21no—
379#469—21no—
380#469—21no—
381#469—21no—
382#468—21no—
383#468—21no—
384#468—21no—
385#468—21no—
386#468—21no—
387#468—21no—
388#468—21no—
389#468—21no—
390#468—21no—
391#468—21no—
392#467—21no—
393#466—21no—
394#466—21no—
395#466—21no—
396#466—21no—
397#466—21no—
398#466—21no—
399#465—21no—
400#465—21no—
401#465—21no—
402#465—21no—
403#465—21no—
404#465—21no—
405#465—21no—
406#464—21no—
407#464—21no—
408#464—21no—
409#464—21no—
410#464—21no—
411#463—21no—
412#463—21no—
413#463—21no—
414#463—21no—
415#463D411yescharacteristic
416#463D411yescharacteristic
417#462—21no—
418#462C2311yescharacteristic, complemented
419#462C2311yescharacteristic, complemented
420#461—21no—
421#461C2311yescharacteristic
422#461C2311yescharacteristic
423#461C2311yescharacteristic
424#461C2311yescharacteristic
425#461C2311yescharacteristic, complemented
426#461C2311yescharacteristic, complemented
427#460—21no—
428#460—21no—
429#460—21no—
430#460—21no—
431#460—21no—
432#460C2311yescharacteristic
433#460C2311yescharacteristic
434#460C2311yescharacteristic
435#460C2311yescharacteristic
436#459—21no—
437#459—21no—
438#459—21no—
439#459—41no—
440#459C2311yescharacteristic
441#459C2311yescharacteristic
442#459C2311yescharacteristic
443#459C2311yescharacteristic
444#459C2311yescharacteristic
445#459C2311yescharacteristic
446#459C2311yescharacteristic
447#459C2311yescharacteristic
448#452—21no—
449#452—21no—
450#452—21no—
451#452—21no—
452#452—21no—
453#452—21no—
454#452—21no—
455#450—21no—
456#450—21no—
457#450—21no—
458#450—21no—
459#450—21no—
460#450—21no—
461#450—21no—
462#450—21no—
463#450—21no—
464#450—21no—
465#450—21no—
466#450—21no—
467#450—21no—
468#450—21no—
469#450D411yescharacteristic
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#448—21no—
479#448—21no—
480#447—21no—
481#447—21no—
482#447—21no—
483#447—21no—
484#447—21no—
485#447—21no—
486#447—21no—
487#447—21no—
488#447—41no—
489#447D411yescharacteristic
490#446C2311yescharacteristic, complemented
491#446C2311yescharacteristic, complemented
492#446C2311yescharacteristic, complemented
493C8×Q8C2311yescharacteristic, complemented
494#442—21no—
495#442D411yescharacteristic
496#442D411yescharacteristic
497#441—21no—
498#440—21no—
499#440—21no—
500#440—21no—
501#440—21no—
502#440—21no—
503#440—21no—
504#440—21no—
505#440—21no—
506#440D411yescharacteristic
507#440D411yescharacteristic
508C4×Q16—21no—
509C4×Q16—21no—
510C4×SD16—21no—
511C4×SD16C2311yescharacteristic
512C4×SD16C2311yescharacteristic
513C4×SD16C2311yescharacteristic
514C4×SD16C2311yescharacteristic
515C4×D8—21no—
516C4×D8—21no—
517C4×D8—21no—
518C4×D8C2311yescharacteristic
519C4×D8C2311yescharacteristic
520C4×D8C2311yescharacteristic
521C4×D8C2311yescharacteristic
522#436—21no—
523#436C2311yescharacteristic
524#436C2311yescharacteristic
525#436C2311yescharacteristic
526#436C2311yescharacteristic
527#436C2311yescharacteristic, complemented
528#435—21no—
529#435—21no—
530#435—21no—
531#435—21no—
532#435—21no—
533#435—21no—
534#435—21no—
535C8×D4C2311yescharacteristic
536C8×D4C2311yescharacteristic
537C8×D4C2311yescharacteristic
538C8×D4C2311yescharacteristic
539C8×D4C2311yescharacteristic, complemented
540C8×D4C2311yescharacteristic, complemented
541C8×D4C2311yescharacteristic, complemented
542#433—21no—
543#432—21no—
544#432C2311yescharacteristic
545#431C2311yescharacteristic
546#431C2311yescharacteristic
547#431C2311yescharacteristic
548#428—21no—
549#428D411yescharacteristic
550C2×#107—21no—
551#423C2311yescharacteristic
552#423C2311yescharacteristic
553C2×C4⋊C8—21no—
554#418—21no—
555#418—21no—
556#418—21no—
557#418—21no—
558#418—21no—
559#418—21no—
560#418—21no—
561#418—21no—
562#418—21no—
563#418—21no—
564#418D411yescharacteristic
565#417—21no—
566#417—21no—
567#417—21no—
568#417D411yescharacteristic
569#416—21no—
570#416—21no—
571C2×#102—21no—
572C2×#102—21no—
573C2×#102—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577#407—21no—
578#407—21no—
579C2×C22⋊C8—21no—
580#405—21no—
581C4×M16C2311yescharacteristic
582#335C2311yescharacteristic, complemented
583#335C2311yescharacteristic, complemented
584#335C2311yescharacteristic, complemented
585#335C2311yescharacteristic, complemented
586#334C2311yescharacteristic, complemented
587#334C2311yescharacteristic, complemented
588#334C2311yescharacteristic, complemented
589#334C2311yescharacteristic, complemented
590#333C2311yescharacteristic, complemented
591#333C2311yescharacteristic, complemented
592#332C2311yescharacteristic, complemented
593#332C2311yescharacteristic, complemented
594#332C2311yescharacteristic, complemented
595#332C2311yescharacteristic, complemented
596#332C2311yescharacteristic, complemented
597#332C2311yescharacteristic, complemented
598#332C2311yescharacteristic, complemented
599#332C2311yescharacteristic, complemented
600#331C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic, complemented
605#331C2311yescharacteristic, complemented
606Q8⋊C8C2311yescharacteristic, complemented
607Q8⋊C8C2311yescharacteristic, complemented
608Q8⋊C8C2311yescharacteristic, complemented
609Q8⋊C8C2311yescharacteristic, complemented
610D4⋊C8C2311yescharacteristic
611D4⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic, complemented
619D4⋊C8C2311yescharacteristic, complemented
620D4⋊C8C2311yescharacteristic, complemented
621D4⋊C8C2311yescharacteristic, complemented
622#322C2311yescharacteristic, complemented
623#322C2311yescharacteristic, complemented
624#322C2311yescharacteristic, complemented
625C82C2311yescharacteristic, complemented
626C25—41no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41C2×D411yescharacteristic
635C22×Q8—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—21no—
646C22×D4—21no—
647C22×D4—41no—
648C22×D4—41no—
649C22×D4—41no—
650C22×D4—41no—
651C22×D4—41no—
652C22×D4—41no—
653C22×D4—44no—
654C22×D4—82no—
655C22×D4—82no—
656C22×D4—82no—
657C22×D4C2×D411yescharacteristic
658C22×D4C2×D411yescharacteristic
659C23×C4—21no—
660C23×C4—21no—
661AGL(1,ℤ/8)—42no—
662AGL(1,ℤ/8)—82no—
663AGL(1,ℤ/8)—82no—
664AGL(1,ℤ/8)—82no—
665AGL(1,ℤ/8)—82no—
666#135—44no—
667#135—82no—
668#135—82no—
669C2×Q16—21no—
670C2×Q16—21no—
671C2×Q16—21no—
672C2×Q16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—21no—
682C2×SD16—21no—
683C2×SD16—21no—
684C2×SD16—21no—
685C2×SD16—21no—
686C2×SD16—21no—
687C2×SD16—21no—
688C2×SD16—21no—
689C2×SD16—21no—
690C2×SD16—21no—
691C2×SD16—82no—
692C2×SD16—82no—
693C2×SD16C2×D411yescharacteristic
694C2×SD16C2×D411yescharacteristic
695C2×SD16C2×D411yescharacteristic
696C2×SD16C2×D411yescharacteristic
697C2×D8—21no—
698C2×D8—21no—
699C2×D8—21no—
700C2×D8—21no—
701C2×D8—21no—
702C2×D8—21no—
703C2×D8—21no—
704C2×D8—21no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8C2×D411yescharacteristic
708C2×D8C2×D411yescharacteristic
709C2×D8C2×D411yescharacteristic
710C2×D8C2×D411yescharacteristic
711C2×M16—21no—
712C2×M16—21no—
713C2×M16—21no—
714C2×M16—21no—
715C2×M16—21no—
716C2×M16—21no—
717C2×M16—21no—
718C2×M16—82no—
719C2×M16C2×D411yescharacteristic
720C2×M16C2×D411yescharacteristic
721C22×C8—21no—
722C22×C8—21no—
723C22×C8—21no—
724C22×C8—21no—
725C22×C8—21no—
726C22×C8—21no—
727C22×C8—21no—
728C4⋊Q8—21no—
729C4⋊Q8—21no—
730C4⋊Q8C2411yescharacteristic
731C4⋊Q8C2411yescharacteristic
732C4⋊Q8C2411yescharacteristic
733C4⋊Q8C2411yescharacteristic
734C4⋊Q8C2411yescharacteristic
735#127—21no—
736#127—21no—
737#127—21no—
738#127—21no—
739#127—21no—
740#127—41no—
741#127C2411yescharacteristic
742#127C2411yescharacteristic
743#127C2411yescharacteristic
744#126—21no—
745#126—41no—
746#126—41no—
747#126—41no—
748#126—41no—
749#126—41no—
750#126—41no—
751#125—21no—
752#125—21no—
753#125—21no—
754#125—21no—
755#125—41no—
756#125—41no—
757#125—41no—
758#125C2×D411yescharacteristic
759#124—21no—
760#124—21no—
761#124—21no—
762#124—41no—
763#124—41no—
764#124C2×D411yescharacteristic
765#123—21no—
766#123—41no—
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—
778C22⋊Q8—21no—
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
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—21no—
808#121—21no—
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—41no—
815#121—41no—
816#121—41no—
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#121C2×D411yescharacteristic
828#120—41no—
829#120—41no—
830#120—41no—
831#120—41no—
832#120—41no—
833#120—41no—
834#120—41no—
835#120—41no—
836#120—41no—
837#120—41no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8—21no—
843C4×Q8—21no—
844C4×Q8—21no—
845C4×Q8—21no—
846C4×Q8C2×D411yescharacteristic
847C4×Q8C2411yescharacteristic
848C4×Q8C2411yescharacteristic
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—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×D4—41no—
872C4×D4C2×D411yescharacteristic
873C4×D4C2×D411yescharacteristic
874C4×D4C2×D411yescharacteristic
875C4×D4C2×D411yescharacteristic
876C4×D4C2×D411yescharacteristic
877C4×D4C2411yescharacteristic
878C4×D4C2411yescharacteristic
879C4×D4C2411yescharacteristic
880C4×D4C2411yescharacteristic
881C4×D4C2411yescharacteristic
882C4×D4C2411yescharacteristic
883#117—21no—
884#117—21no—
885#117—21no—
886#117—21no—
887#117—21no—
888#117—21no—
889#117—21no—
890#117—21no—
891#117—41no—
892#117—41no—
893#117—41no—
894#117—41no—
895#117—41no—
896#117C2×D411yescharacteristic
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4—41no—
903C2×C4⋊C4—41no—
904C2×C4⋊C4C2×D411yescharacteristic
905C2×C4⋊C4C2×D411yescharacteristic
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C42—21no—
912C2×C42—41no—
913C2×C42C2411yescharacteristic
914#107—21no—
915#107—21no—
916#107—21no—
917#107—21no—
918#107—21no—
919#107—21no—
920#107—21no—
921#107—21no—
922#107—21no—
923#107—21no—
924#107—41no—
925#107C2×D411yescharacteristic
926#107C2×D411yescharacteristic
927#107C2×D411yescharacteristic
928#107C2×D411yescharacteristic
929#106—21no—
930#106—21no—
931#106—21no—
932#106—21no—
933#106—41no—
934#106C2×D411yescharacteristic
935#106C2×D411yescharacteristic
936#106C2×D411yescharacteristic
937#106C2×D411yescharacteristic
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8—21no—
943C4⋊C8—21no—
944C4⋊C8—21no—
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2×D411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
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—41no—
970#103—41no—
971#103C2×D411yescharacteristic
972#103C2×D411yescharacteristic
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
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—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#102C2×D411yescharacteristic
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
1026#102C2×D411yescharacteristic
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⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8—21no—
1040C22⋊C8—21no—
1041C22⋊C8—21no—
1042C22⋊C8C2×D411yescharacteristic
1043C22⋊C8C2×D411yescharacteristic
1044#97—21no—
1045#97—21no—
1046#97—21no—
1047#97—21no—
1048#97C2×D411yescharacteristic
1049#97C2×D411yescharacteristic
1050C4×C8—21no—
1051C4×C8—21no—
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C4×C8C2411yescharacteristic
1056C4×C8C2411yescharacteristic
1057C4×C8C2411yescharacteristic
1058C24—21no—
1059C24—21no—
1060C24—41no—
1061C24—41no—
1062C24—41no—
1063C24—41no—
1064C24—41no—
1065C24—84no—
1066C24—84no—
1067C24—162no—
1068#41—41no—
1069#41—41no—
1070#41—42no—
1071#41—42no—
1072#41—42no—
1073#41—81no—
1074#41—81no—
1075#41—81no—
1076#41—81no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—81no—
1081#41—81no—
1082#41—81no—
1083#41—81no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—41no—
1090C2×Q8—81no—
1091C2×Q8—81no—
1092C2×Q8C22×D411yescharacteristic
1093C2×Q8C22×D411yescharacteristic
1094C2×D4—22no—
1095C2×D4—22no—
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—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—42no—
1112C2×D4—42no—
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—41no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—84no—
1153C2×D4—84no—
1154C2×D4—84no—
1155C2×D4—84no—
1156C2×D4—84no—
1157C2×D4—84no—
1158C2×D4—161no—
1159C2×D4C22×D411yescharacteristic
1160C2×D4C22×D411yescharacteristic
1161C2×D4C22×D411yescharacteristic
1162C2×D4C22×D411yescharacteristic
1163C2×D4C22×D411yescharacteristic
1164C2×D4C22×D411yescharacteristic
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—81no—
1191C22×C4—81no—
1192C22×C4C22×D411yescharacteristic
1193C22×C4C22×D411yescharacteristic
1194C22×C4H(5,𝔽2)11yescharacteristic
1195Q16—42no—
1196Q16—81no—
1197Q16—81no—
1198Q16—81no—
1199SD16—22no—
1200SD16—22no—
1201SD16—41no—
1202SD16—41no—
1203SD16—42no—
1204SD16—42no—
1205SD16—42no—
1206SD16—42no—
1207SD16—81no—
1208SD16—81no—
1209SD16—81no—
1210SD16—81no—
1211SD16—81no—
1212SD16—81no—
1213SD16—81no—
1214SD16—81no—
1215SD16—81no—
1216SD16—81no—
1217SD16—81no—
1218SD16—81no—
1219SD16—81no—
1220SD16—81no—
1221D8—22no—
1222D8—22no—
1223D8—41no—
1224D8—41no—
1225D8—42no—
1226D8—42no—
1227D8—81no—
1228D8—81no—
1229D8—81no—
1230D8—81no—
1231D8—81no—
1232D8—81no—
1233D8—161no—
1234D8—161no—
1235M16—41no—
1236M16—41no—
1237M16—42no—
1238M16—81no—
1239M16—81no—
1240M16—81no—
1241M16—81no—
1242M16—81no—
1243M16—81no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—42no—
1255C2×C8—81no—
1256C2×C8—81no—
1257C2×C8—81no—
1258C2×C8—81no—
1259C2×C8—81no—
1260C2×C8—81no—
1261C2×C8C22×D411yescharacteristic
1262C2×C8C22×D411yescharacteristic
1263C2×C8C22×D411yescharacteristic
1264C2×C8C22×D411yescharacteristic
1265C2×C8C22×D411yescharacteristic
1266C2×C8C22×D411yescharacteristic
1267C2×C8C22×D411yescharacteristic
1268C2×C8C22×D411yescharacteristic
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4C22×D411yescharacteristic
1304C4⋊C4C22×D411yescharacteristic
1305C4⋊C4C22×D411yescharacteristic
1306C4⋊C4C22×D411yescharacteristic
1307C4⋊C4C22×D411yescharacteristic
1308C4⋊C4C22×D411yescharacteristic
1309C4⋊C4C22×D411yescharacteristic
1310C4⋊C4C22×D411yescharacteristic
1311C22⋊C4—21no—
1312C22⋊C4—21no—
1313C22⋊C4—21no—
1314C22⋊C4—21no—
1315C22⋊C4—21no—
1316C22⋊C4—21no—
1317C22⋊C4—21no—
1318C22⋊C4—21no—
1319C22⋊C4—21no—
1320C22⋊C4—21no—
1321C22⋊C4—21no—
1322C22⋊C4—21no—
1323C22⋊C4—21no—
1324C22⋊C4—21no—
1325C22⋊C4—21no—
1326C22⋊C4—21no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C42—21no—
1350C42—21no—
1351C42—21no—
1352C42—21no—
1353C42—41no—
1354C42—41no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
1358C42—41no—
1359C42C22×D411yescharacteristic
1360C42C22×D411yescharacteristic
1361C42H(5,𝔽2)11yescharacteristic
1362C42C2511yescharacteristic
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—42no—
1370C23—42no—
1371C23—42no—
1372C23—42no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—81no—
1377C23—81no—
1378C23—82no—
1379C23—82no—
1380C23—82no—
1381C23—82no—
1382C23—82no—
1383C23—82no—
1384C23—82no—
1385C23—82no—
1386C23—82no—
1387C23—82no—
1388C23—82no—
1389C23—161no—
1390C23—161no—
1391C23—161no—
1392C23—161no—
1393C23—1616no—
1394C23D4211yescharacteristic
1395Q8—21no—
1396Q8—21no—
1397Q8—21no—
1398Q8—21no—
1399Q8—41no—
1400Q8—41no—
1401Q8—41no—
1402Q8—41no—
1403Q8—41no—
1404Q8—41no—
1405Q8—41no—
1406Q8—41no—
1407Q8—81no—
1408Q8—161no—
1409D4—21no—
1410D4—21no—
1411D4—21no—
1412D4—21no—
1413D4—21no—
1414D4—21no—
1415D4—21no—
1416D4—21no—
1417D4—21no—
1418D4—21no—
1419D4—42no—
1420D4—42no—
1421D4—41no—
1422D4—41no—
1423D4—41no—
1424D4—41no—
1425D4—41no—
1426D4—41no—
1427D4—41no—
1428D4—41no—
1429D4—41no—
1430D4—41no—
1431D4—41no—
1432D4—41no—
1433D4—81no—
1434D4—81no—
1435D4—81no—
1436D4—82no—
1437D4—82no—
1438D4—81no—
1439D4—81no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451D4—161no—
1452D4—161no—
1453D4—161no—
1454D4—161no—
1455D4—161no—
1456D4—161no—
1457D4—161no—
1458D4—161no—
1459D4#57512yes—
1460D4#57612yes—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—41no—
1476C2×C4—42no—
1477C2×C4—42no—
1478C2×C4—42no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—81no—
1497C2×C4—81no—
1498C2×C4—81no—
1499C2×C4—81no—
1500C2×C4—81no—
1501C2×C4—82no—
1502C2×C4—82no—
1503C2×C4—82no—
1504C2×C4—161no—
1505C2×C4—161no—
1506C2×C4—161no—
1507C2×C4—161no—
1508C2×C4—161no—
1509C2×C4—161no—
1510C2×C4D4211yescharacteristic
1511C2×C4D4211yescharacteristic
1512C2×C4D4211yescharacteristic
1513C2×C4C23×D411yescharacteristic
1514C2×C4C23×D411yescharacteristic
1515C2×C4C2×H(5,𝔽2)11yescharacteristic
1516C8—21no—
1517C8—21no—
1518C8—21no—
1519C8—21no—
1520C8—21no—
1521C8—21no—
1522C8—21no—
1523C8—21no—
1524C8—41no—
1525C8—41no—
1526C8—41no—
1527C8—41no—
1528C8—41no—
1529C8—41no—
1530C8—41no—
1531C8—41no—
1532C8—41no—
1533C8—41no—
1534C22—21no—
1535C22—22no—
1536C22—21no—
1537C22—22no—
1538C22—21no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—84no—
1556C22—84no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—164no—
1567C22—164no—
1568C22—164no—
1569C22—164no—
1570C22—164no—
1571C22C2×D4211yescharacteristic
1572C4—21no—
1573C4—21no—
1574C4—21no—
1575C4—21no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—81no—
1587C4—81no—
1588C4—81no—
1589C4—81no—
1590C4—81no—
1591C4C2×#57511yescharacteristic
1592C4C2×#57611yescharacteristic
1593C4#358511yescharacteristic
1594C4#358511yescharacteristic
1595C2—41no—
1596C2—42no—
1597C2—42no—
1598C2—81no—
1599C2—81no—
1600C2—81no—
1601C2—81no—
1602C2—161no—
1603C2—161no—
1604C2—161no—
1605C2#6106611yescharacteristic
1606C2#6107211yescharacteristic
1607C2#6110711yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C2×C42 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #61993C2semidirect
2. #61600C2semidirect
3. #61545C2semidirect
4. #61155C2semidirect
5. #20303C2semidirect
6. #20267C2semidirect
7. #20258C2semidirect
8. #20191C2semidirect
9. #20176C2semidirect
10. #20057C2semidirect
11. #20057C2semidirect
12. #20039C2semidirect
13. #20027C2semidirect
14. #19970C2semidirect
15. #19913C2semidirect
16. #19899C2semidirect
17. #19819C2semidirect
18. #19788C2semidirect
19. #19772C2semidirect
20. #19758C2semidirect
21. #19715C2semidirect
22. #19483C2semidirect
23. #19460C2semidirect
24. #19380C2semidirect
25. #19304C2semidirect
26. #18850C2semidirect
27. #18823C2semidirect
28. #18807C2semidirect
29. #18746C2semidirect
30. #18050C2semidirect
31. #18008C2semidirect
33. #3517C22semidirect
36. #3398C22semidirect
37. #3397C22semidirect
38. #3397C22semidirect
39. #3386C22semidirect
40. #3372C22semidirect
41. #3366C22semidirect
42. #3364C22semidirect
43. #3358C22semidirect
45. #3334C22semidirect
47. #3332C22semidirect
48. #3330C22semidirect
64. #3305C22semidirect
65. #3303C22semidirect
72. #3284C22semidirect
73. #3284C22semidirect
74. #3283C22semidirect
84. #3252C22semidirect
86. #3231C22semidirect
89. #3210C22semidirect
94. #3182C22semidirect
101. #3107C22semidirect
113. #2990C22semidirect
115. #2969C22semidirect
120. #1722C22semidirect
121. #1720C22semidirect
122. #1719C22semidirect
123. #1717C22semidirect
124. #1717C22semidirect
125. #1715C22semidirect
126. #1711C22semidirect
127. #1706C22semidirect
128. #1703C22semidirect
129. #1702C22semidirect
130. #1702C22semidirect
131. #1702C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1699C22semidirect
135. #1698C22semidirect
136. #1697C22semidirect
137. #1697C22semidirect
138. #1693C22semidirect
139. #1689C22semidirect
140. #1686C22semidirect
141. #1686C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1683C22semidirect
145. #1682C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1681C22semidirect
149. #1681C22semidirect
150. #1679C22semidirect
151. #1678C22semidirect
152. #1677C22semidirect
153. #1677C22semidirect
154. #1673C22semidirect
155. #1669C22semidirect
156. #1665C22semidirect
157. #1665C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1654C22semidirect
162. #1652C22semidirect
163. #1652C22semidirect
164. #1650C22semidirect
165. #1649C22semidirect
166. #1647C22semidirect
167. #1647C22semidirect
168. #1646C22semidirect
169. #1646C22semidirect
170. #1644C22semidirect
171. #1643C22semidirect
176. #1638C22semidirect
177. #1637C22semidirect
178. #1635C22semidirect
179. #1635C22semidirect
180. #1626C22semidirect
181. #1626C22semidirect
182. #1625C22semidirect
183. #1625C22semidirect
184. #1621C22semidirect
185. #1621C22semidirect
186. #1621C22semidirect
187. #1621C22semidirect
192. #1592C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1589C22semidirect
196. #1586C22semidirect
197. #1586C22semidirect
198. #1585C22semidirect
199. #1585C22semidirect
200. #1583C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. #1580C22semidirect
206. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1574C22semidirect
209. #1569C22semidirect
210. #1561C22semidirect
211. #1557C22semidirect
212. #1554C22semidirect
214. #1495C22semidirect
215. #1488C22semidirect
218. #1453C22semidirect
232. #557C23semidirect
248. #550C23semidirect
249. #550C23semidirect
256. #547C23semidirect
295. #500C23semidirect
296. #500C23semidirect
297. #498C23semidirect
302. #494C23semidirect
307. #492C23semidirect
308. #492C23semidirect
315. #487C23semidirect
316. #487C23semidirect
317. #487C23semidirect
318. #487C23semidirect
328. #486C23semidirect
329. #486C23semidirect
365. #477C23semidirect
368. #476C23semidirect
369. #475C23semidirect
377. #474C23semidirect
418. #462C23semidirect
419. #462C23semidirect
425. #461C23semidirect
426. #461C23semidirect
490. #446C23semidirect
491. #446C23semidirect
492. #446C23semidirect
493. C8×Q8C23semidirect
527. #436C23semidirect
539. C8×D4C23semidirect
540. C8×D4C23semidirect
541. C8×D4C23semidirect
582. #335C23semidirect
583. #335C23semidirect
584. #335C23semidirect
585. #335C23semidirect
586. #334C23semidirect
587. #334C23semidirect
588. #334C23semidirect
589. #334C23semidirect
590. #333C23semidirect
591. #333C23semidirect
592. #332C23semidirect
593. #332C23semidirect
594. #332C23semidirect
595. #332C23semidirect
596. #332C23semidirect
597. #332C23semidirect
598. #332C23semidirect
599. #332C23semidirect
604. #331C23semidirect
605. #331C23semidirect
606. Q8⋊C8C23semidirect
607. Q8⋊C8C23semidirect
608. Q8⋊C8C23semidirect
609. Q8⋊C8C23semidirect
618. D4⋊C8C23semidirect
619. D4⋊C8C23semidirect
620. D4⋊C8C23semidirect
621. D4⋊C8C23semidirect
622. #322C23semidirect
623. #322C23semidirect
624. #322C23semidirect
625. C82C23semidirect

Maximal subgroups

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

subgroupindex
#619932
#616002
#615452
#611552
#203032
#202672
#202582
#201912
#201762
#200572
#200392
#200272
#199702
#199132
#198992
#198192
#197882
#197722
#197582
#197152
#194832
#194602
#193802
#193042
#188502
#188232
#188072
#187462
#180502
#180082