Finite Group Databasebeta

← #6369272

Subgroups — #6369272

Order 512.

1731 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61989C211yesmaximal, characteristic, complemented
2#61604C211yesmaximal, characteristic, complemented
3#61539C211yesmaximal, characteristic, complemented
4#61161C211yesmaximal, characteristic, complemented
5#20303C211yesmaximal, characteristic, complemented
6#20262C211yesmaximal, characteristic, complemented
7#20256C211yesmaximal, characteristic, complemented
8#20194C211yesmaximal, characteristic, complemented
9#20178C211yesmaximal, characteristic, complemented
10#20132C211yesmaximal, characteristic, complemented
11#20070C211yesmaximal, characteristic, complemented
12#20038C211yesmaximal, characteristic, complemented
13#20022C211yesmaximal, characteristic, complemented
14#19970C211yesmaximal, characteristic, complemented
15#19916C211yesmaximal, characteristic, complemented
16#19899C211yesmaximal, characteristic, complemented
17#19820C211yesmaximal, characteristic, complemented
18#19791C211yesmaximal, characteristic, complemented
19#19771C211yesmaximal, characteristic, complemented
20#19755C211yesmaximal, characteristic, complemented
21#19722C211yesmaximal, characteristic, complemented
22#19482C211yesmaximal, characteristic, complemented
23#19461C211yesmaximal, characteristic, complemented
24#19383C211yesmaximal, characteristic, complemented
25#19306C211yesmaximal, characteristic, complemented
26#18843C211yesmaximal, characteristic, complemented
27#18810C211yesmaximal, characteristic, complemented
28#18794C211yesmaximal, characteristic, complemented
29#18756C211yesmaximal, characteristic, complemented
30#18050C211yesmaximal, characteristic, complemented
31#18008C211yesmaximal, characteristic, complemented
32#3519C2211yescharacteristic, complemented
33#3514C2211yescharacteristic
34D4×#41C2211yescharacteristic, complemented
35C2×#547C2211yescharacteristic, complemented
36#3399C2211yescharacteristic, complemented
37#3399C2211yescharacteristic, complemented
38#3397C2211yescharacteristic, complemented
39#3384C2211yescharacteristic, complemented
40#3373C2211yescharacteristic, complemented
41#3367C2211yescharacteristic, complemented
42#3361C2211yescharacteristic, complemented
43#3358C2211yescharacteristic, complemented
44#3347—21no—
45#3340C2211yescharacteristic, complemented
46#3332C2211yescharacteristic, complemented
47#3332C2211yescharacteristic, complemented
48#3331C2211yescharacteristic, complemented
49#3331C2211yescharacteristic, complemented
50#3330C2211yescharacteristic
51#3330C2211yescharacteristic, complemented
52#3325—21no—
53#3325C2211yescharacteristic, complemented
54#3324C2211yescharacteristic, complemented
55#3322—21no—
56#3308—21no—
57#3308—21no—
58#3308—21no—
59#3307—21no—
60#3307—21no—
61#3306—21no—
62#3306—21no—
63#3306—21no—
64#3303C2211yescharacteristic
65#3303C2211yescharacteristic, complemented
66#3298C2211yescharacteristic, complemented
67#3298C2211yescharacteristic, complemented
68#3298C2211yescharacteristic, complemented
69#3294C2211yescharacteristic
70#3294C2211yescharacteristic, complemented
71#3294C2211yescharacteristic, complemented
72#3284C2211yescharacteristic, complemented
73#3284C2211yescharacteristic, complemented
74D4×SD16C2211yescharacteristic, complemented
75D4×D8C2211yescharacteristic, complemented
76D4×D8C2211yescharacteristic, complemented
77#3272C2211yescharacteristic
78#3272C2211yescharacteristic, complemented
79#3267—21no—
80#3267—21no—
81#3265—21no—
82#3264—21no—
83#3264—21no—
84#3251C2211yescharacteristic
85#3247—21no—
86#3226C2211yescharacteristic, complemented
87#3218C2211yescharacteristic, complemented
88#3213—21no—
89#3207C2211yescharacteristic, complemented
90#3207C2211yescharacteristic, complemented
91#3206C2211yescharacteristic, complemented
92#3196—21no—
93#3187—21no—
94#3184C2211yescharacteristic, complemented
95#3179—21no—
96#3141C2211yescharacteristic, complemented
97#3122—21no—
98#3118—21no—
99#3114—21no—
100#3109C2211yescharacteristic, complemented
101#3106C2211yescharacteristic
102#3105C2211yescharacteristic
103#3100C2211yescharacteristic, complemented
104#3092—21no—
105#3079C2211yescharacteristic, complemented
106#3055—21no—
107#3036C2211yescharacteristic, complemented
108#3036C2211yescharacteristic, complemented
109C2×#463—21no—
110#3006—21no—
111#3006—21no—
112#3002—21no—
113#2990C2211yescharacteristic, complemented
114#2974C2211yescharacteristic, complemented
115#2969C2211yescharacteristic, complemented
116#2948—21no—
117C4×AGL(1,ℤ/8)C2211yescharacteristic
118D4×M16C2211yescharacteristic, complemented
119C2×#417—21no—
120#1721C2211yescharacteristic, complemented
121#1719C2211yescharacteristic, complemented
122#1718C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1717C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1711C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1704C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1691C2211yescharacteristic, complemented
139#1687C2211yescharacteristic, complemented
140#1687C2211yescharacteristic, complemented
141#1686C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1682C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1681C2211yescharacteristic, complemented
149#1681C2211yescharacteristic, complemented
150#1680C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1679C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1671C2211yescharacteristic, complemented
155#1667C2211yescharacteristic, complemented
156#1667C2211yescharacteristic, complemented
157#1665C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1650C2211yescharacteristic, complemented
161#1650C2211yescharacteristic, complemented
162#1649C2211yescharacteristic, complemented
163#1649C2211yescharacteristic, complemented
164#1647C2211yescharacteristic, complemented
165#1647C2211yescharacteristic, complemented
166#1647C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1646C2211yescharacteristic, complemented
169#1643C2211yescharacteristic, complemented
170#1642C2211yescharacteristic, complemented
171#1640C2211yescharacteristic, complemented
172#1640C2211yescharacteristic, complemented
173#1639C2211yescharacteristic, complemented
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1637C2211yescharacteristic, complemented
177#1635C2211yescharacteristic, complemented
178#1631C2211yescharacteristic, complemented
179#1629C2211yescharacteristic, complemented
180#1627C2211yescharacteristic, complemented
181#1625C2211yescharacteristic
182#1625C2211yescharacteristic, complemented
183#1625C2211yescharacteristic, complemented
184#1625C2211yescharacteristic, complemented
185#1625C2211yescharacteristic, complemented
186#1624C2211yescharacteristic, complemented
187#1622C2211yescharacteristic, complemented
188#1621C2211yescharacteristic, complemented
189#1621C2211yescharacteristic, complemented
190#1619C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
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#1560C2211yescharacteristic, complemented
211#1557C2211yescharacteristic, complemented
212#1553C2211yescharacteristic, complemented
213#1546C2211yescharacteristic, complemented
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic, complemented
217#1478C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C22×#41—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—
228C22×SD16—21no—
229C22×D8—21no—
230C22×D8—21no—
231C22×M16—21no—
232#559C2311yescharacteristic
233#556C2311yescharacteristic
234#555—21no—
235#555C2311yescharacteristic
236#554C2311yescharacteristic
237#553—21no—
238#553—21no—
239#551—41no—
240#550C2311yescharacteristic
241#550C2311yescharacteristic
242D4×Q8C2311yescharacteristic
243D4×Q8C2311yescharacteristic
244#548—21no—
245#548—21no—
246#547—21no—
247#547—21no—
248#547—21no—
249#547—21no—
250#547—21no—
251#547—41no—
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#546—21no—
258#546—21no—
259#546—21no—
260#546—21no—
261#546—41no—
262#546—41no—
263D42—21no—
264D42—21no—
265D42C2311yescharacteristic
266D42C2311yescharacteristic
267D42C2311yescharacteristic
268#542—21no—
269#540—21no—
270#538—41no—
271#538—41no—
272#532—21no—
273#532C2311yescharacteristic
274#532C2311yescharacteristic
275#532C2311yescharacteristic
276C2×C4⋊Q8C2311yescharacteristic
277#529—21no—
278#529C2311yescharacteristic
279C2×#124—21no—
280#525—21no—
281#525—21no—
282#525—41no—
283C2×#123—41no—
284C2×C22⋊Q8—21no—
285C2×#121—21no—
286C2×#121—21no—
287#518—21no—
288#518—21no—
289C4×#41C2311yescharacteristic
290C2×C4×D4—21no—
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C22×C4⋊C4—21no—
294#501—21no—
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#498C2311yescharacteristic
298#497—21no—
299#496—21no—
300#496—21no—
301#496—21no—
302#493C2311yescharacteristic
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#492C2311yescharacteristic
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#491—21no—
310#489—21no—
311#489—21no—
312#489—21no—
313#489—21no—
314#488—21no—
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#486—21no—
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#485—21no—
331#485—21no—
332#485—21no—
333#484—21no—
334#484—21no—
335#484D411yescharacteristic
336#483—21no—
337#483—21no—
338#483—21no—
339#483—21no—
340#483—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#481—21no—
346#481—21no—
347#481—21no—
348#481D411yescharacteristic
349#480—21no—
350#480—21no—
351#480—21no—
352#480—21no—
353#480—41no—
354#478—21no—
355#478—21no—
356#478—21no—
357#478D411yescharacteristic
358#478D411yescharacteristic
359#477—21no—
360#477—21no—
361#477C2311yescharacteristic
362#476—21no—
363#476—21no—
364#476—21no—
365#476C2311yescharacteristic
366#476C2311yescharacteristic
367#476C2311yescharacteristic
368#475C2311yescharacteristic
369#475C2311yescharacteristic
370#475C2311yescharacteristic
371#474—21no—
372#474—41no—
373#474C2311yescharacteristic
374#474C2311yescharacteristic
375#474C2311yescharacteristic
376#474C2311yescharacteristic
377#474C2311yescharacteristic
378#470—21no—
379#470—21no—
380#469—21no—
381#469—21no—
382#469—21no—
383#469—21no—
384#469—21no—
385#469—21no—
386#468—21no—
387#468—21no—
388#468—21no—
389#468—21no—
390#468—21no—
391#468—21no—
392#466—21no—
393#466—21no—
394#466—21no—
395#466—21no—
396#466—21no—
397#465—21no—
398#465—21no—
399#465—21no—
400#465—21no—
401#465—21no—
402#465—21no—
403#465—21no—
404#465—21no—
405#465—21no—
406#463—21no—
407#463—21no—
408#463—21no—
409#463—21no—
410#463—21no—
411#463—21no—
412#463—21no—
413#463—21no—
414#463—21no—
415#463—21no—
416#463—21no—
417#463—21no—
418#463—21no—
419#463—41no—
420#463D411yescharacteristic
421#463D411yescharacteristic
422#462C2311yescharacteristic
423#462C2311yescharacteristic
424#461—21no—
425#461—21no—
426#461C2311yescharacteristic
427#461C2311yescharacteristic
428#461C2311yescharacteristic
429#461C2311yescharacteristic
430#461C2311yescharacteristic
431#461C2311yescharacteristic
432#460—21no—
433#460C2311yescharacteristic
434#460C2311yescharacteristic
435#459—21no—
436#459—21no—
437#459—21no—
438#459C2311yescharacteristic
439#459C2311yescharacteristic
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#451—21no—
453#450—21no—
454#450—21no—
455#450—21no—
456#450—21no—
457#450D411yescharacteristic
458#449—21no—
459#449—21no—
460#449—21no—
461#449—21no—
462#449—21no—
463#449—21no—
464#449—21no—
465#449—21no—
466#449—21no—
467#449—21no—
468#449—21no—
469#449—21no—
470#449—21no—
471#449—41no—
472#448—21no—
473#448—21no—
474#448—21no—
475#448—21no—
476#448—21no—
477#448—21no—
478#448—21no—
479#447—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—21no—
489#447D411yescharacteristic
490#446C2311yescharacteristic
491#446C2311yescharacteristic
492#446C2311yescharacteristic
493C8×Q8C2311yescharacteristic
494#442—21no—
495#442—21no—
496#442—21no—
497#442—21no—
498#442—21no—
499#442—21no—
500#442—21no—
501#442—21no—
502#442D411yescharacteristic
503#442D411yescharacteristic
504#440—21no—
505#440—21no—
506#440D411yescharacteristic
507#440D411yescharacteristic
508C4×SD16—21no—
509C4×SD16C2311yescharacteristic
510C4×SD16C2311yescharacteristic
511C4×SD16C2311yescharacteristic
512C4×SD16C2311yescharacteristic
513C4×D8—21no—
514C4×D8—21no—
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
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
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic
542#433—21no—
543#432—21no—
544#432C2311yescharacteristic
545#431C2311yescharacteristic
546#431C2311yescharacteristic
547#431C2311yescharacteristic
548#428—21no—
549#428D411yescharacteristic
550#427—21no—
551#423C2311yescharacteristic
552#423C2311yescharacteristic
553C2×C4⋊C8—21no—
554#418—21no—
555#418—21no—
556#418D411yescharacteristic
557#417—21no—
558#417—21no—
559#417—21no—
560#417—21no—
561#417—21no—
562#417—21no—
563#417—21no—
564#417—21no—
565#417—21no—
566#417—21no—
567#417—21no—
568#417D411yescharacteristic
569#416—21no—
570#416—21no—
571C2×#103—21no—
572C2×#103—21no—
573C2×#103—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
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
610D4⋊C8C2311yescharacteristic
611D4⋊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
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—21no—
636C2×#41—41no—
637C2×#41—41no—
638C2×#41—41no—
639C2×#41—41no—
640C2×#41—44no—
641C2×#41—82no—
642C2×#41—82no—
643C2×#41—82no—
644C2×#41C2×D411yescharacteristic
645C22×Q8—21no—
646C22×Q8—21no—
647C22×Q8—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—41no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4C2×D411yescharacteristic
658C22×D4C2×D411yescharacteristic
659C23×C4—21no—
660C23×C4—21no—
661C23×C4—41no—
662C23×C4—41no—
663AGL(1,ℤ/8)—42no—
664AGL(1,ℤ/8)—82no—
665AGL(1,ℤ/8)—82no—
666AGL(1,ℤ/8)—82no—
667AGL(1,ℤ/8)—82no—
668#135—82no—
669#135—82no—
670C2×Q16—21no—
671C2×Q16—21no—
672C2×SD16—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—41no—
687C2×SD16—82no—
688C2×SD16C2×D411yescharacteristic
689C2×SD16C2×D411yescharacteristic
690C2×SD16C2×D411yescharacteristic
691C2×SD16C2×D411yescharacteristic
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—21no—
695C2×D8—21no—
696C2×D8—21no—
697C2×D8—21no—
698C2×D8—21no—
699C2×D8—21no—
700C2×D8—21no—
701C2×D8—21no—
702C2×D8—21no—
703C2×D8—21no—
704C2×D8—21no—
705C2×D8—21no—
706C2×D8—41no—
707C2×D8—44no—
708C2×D8—82no—
709C2×D8C2×D411yescharacteristic
710C2×D8C2×D411yescharacteristic
711C2×D8C2×D411yescharacteristic
712C2×D8C2×D411yescharacteristic
713C2×M16—21no—
714C2×M16—21no—
715C2×M16—21no—
716C2×M16—21no—
717C2×M16—21no—
718C2×M16—21no—
719C2×M16—21no—
720C2×M16—82no—
721C2×M16C2×D411yescharacteristic
722C2×M16C2×D411yescharacteristic
723C22×C8—21no—
724C22×C8—21no—
725C22×C8—21no—
726C22×C8—21no—
727C22×C8—21no—
728C22×C8—21no—
729C22×C8—21no—
730C4⋊Q8—21no—
731C4⋊Q8—21no—
732C4⋊Q8—21no—
733C4⋊Q8—21no—
734C4⋊Q8—21no—
735C4⋊Q8C2411yescharacteristic
736C4⋊Q8C2411yescharacteristic
737C4⋊Q8C2411yescharacteristic
738C4⋊Q8C2411yescharacteristic
739C4⋊Q8C2411yescharacteristic
740#127—21no—
741#127—21no—
742#127C2411yescharacteristic
743#127C2411yescharacteristic
744#127C2411yescharacteristic
745#126—21no—
746#126—41no—
747#126—41no—
748#126—41no—
749#125—21no—
750#125C2×D411yescharacteristic
751#124—21no—
752#124—21no—
753#124—21no—
754#124—21no—
755#124—21no—
756#124—21no—
757#124—41no—
758#124—41no—
759#124—41no—
760#124—41no—
761#124—41no—
762#124C2×D411yescharacteristic
763#123—21no—
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—
773#123—41no—
774#123—41no—
775#123—41no—
776#123—41no—
777#123—41no—
778#123—41no—
779#123—41no—
780#123—41no—
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⋊Q8—41no—
796C22⋊Q8—41no—
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—21no—
818#121—21no—
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#121C2×D411yescharacteristic
832#120—41no—
833#120—41no—
834#120—41no—
835#120—41no—
836#120—41no—
837#120—41no—
838#120—41no—
839#120—41no—
840C4×Q8—21no—
841C4×Q8C2×D411yescharacteristic
842C4×Q8C2411yescharacteristic
843C4×Q8C2411yescharacteristic
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—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
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—41no—
889#117C2×D411yescharacteristic
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—41no—
899C2×C4⋊C4—41no—
900C2×C4⋊C4—41no—
901C2×C4⋊C4C2×D411yescharacteristic
902C2×C4⋊C4C2×D411yescharacteristic
903C2×C22⋊C4—21no—
904C2×C22⋊C4—21no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C42—21no—
913C2×C42C2411yescharacteristic
914#107—21no—
915#107—21no—
916#107—21no—
917#107—21no—
918#107—21no—
919#107—21no—
920#107—41no—
921#107—41no—
922#107C2×D411yescharacteristic
923#107C2×D411yescharacteristic
924#107C2×D411yescharacteristic
925#107C2×D411yescharacteristic
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—21no—
931#106—21no—
932#106—21no—
933#106—21no—
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—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—21no—
975#103—21no—
976#103—21no—
977#103—41no—
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
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—41no—
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—
1063#41—22no—
1064#41—41no—
1065#41—42no—
1066#41—42no—
1067#41—42no—
1068#41—42no—
1069#41—42no—
1070#41—42no—
1071#41—42no—
1072#41—42no—
1073#41—81no—
1074#41—81no—
1075#41—84no—
1076#41—81no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—81no—
1081#41—81no—
1082#41—84no—
1083#41—81no—
1084#41—81no—
1085#41—84no—
1086#41—84no—
1087#41—161no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—41no—
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×Q8—42no—
1097C2×Q8—81no—
1098C2×Q8—81no—
1099C2×Q8—81no—
1100C2×Q8—81no—
1101C2×Q8—81no—
1102C2×Q8C22×D411yescharacteristic
1103C2×Q8C22×D411yescharacteristic
1104C2×D4—22no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
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—162no—
1155C2×D4C22×D411yescharacteristic
1156C2×D4C22×D411yescharacteristic
1157C2×D4C22×D411yescharacteristic
1158C2×D4C22×D411yescharacteristic
1159C2×D4C22×D411yescharacteristic
1160C2×D4C22×D411yescharacteristic
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
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—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—81no—
1193C22×C4—81no—
1194C22×C4—84no—
1195C22×C4—84no—
1196C22×C4C22×D411yescharacteristic
1197C22×C4C22×D411yescharacteristic
1198C22×C4H(5,𝔽2)11yescharacteristic
1199Q16—81no—
1200Q16—81no—
1201SD16—22no—
1202SD16—41no—
1203SD16—41no—
1204SD16—41no—
1205SD16—42no—
1206SD16—81no—
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—161no—
1220D8—22no—
1221D8—22no—
1222D8—22no—
1223D8—41no—
1224D8—42no—
1225D8—42no—
1226D8—42no—
1227D8—42no—
1228D8—42no—
1229D8—42no—
1230D8—81no—
1231D8—81no—
1232D8—81no—
1233D8—81no—
1234D8—81no—
1235D8—81no—
1236D8—81no—
1237D8—81no—
1238D8—161no—
1239M16—41no—
1240M16—41no—
1241M16—42no—
1242M16—81no—
1243M16—81no—
1244M16—81no—
1245M16—81no—
1246M16—81no—
1247M16—81no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—42no—
1259C2×C8—81no—
1260C2×C8—81no—
1261C2×C8—81no—
1262C2×C8—81no—
1263C2×C8—81no—
1264C2×C8—81no—
1265C2×C8C22×D411yescharacteristic
1266C2×C8C22×D411yescharacteristic
1267C2×C8C22×D411yescharacteristic
1268C2×C8C22×D411yescharacteristic
1269C2×C8C22×D411yescharacteristic
1270C2×C8C22×D411yescharacteristic
1271C2×C8C22×D411yescharacteristic
1272C2×C8C22×D411yescharacteristic
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—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
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—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C42—21no—
1354C42—21no—
1355C42—21no—
1356C42—21no—
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—41no—
1373C23—41no—
1374C23—41no—
1375C23—81no—
1376C23—81no—
1377C23—81no—
1378C23—82no—
1379C23—82no—
1380C23—82no—
1381C23—82no—
1382C23—161no—
1383C23—161no—
1384C23—161no—
1385C23—161no—
1386C23—161no—
1387C23D4211yescharacteristic
1388Q8—21no—
1389Q8—21no—
1390Q8—21no—
1391Q8—21no—
1392Q8—41no—
1393Q8—41no—
1394Q8—41no—
1395Q8—41no—
1396Q8—41no—
1397Q8—41no—
1398Q8—41no—
1399Q8—41no—
1400Q8—81no—
1401Q8—82no—
1402Q8—82no—
1403Q8—161no—
1404D4—21no—
1405D4—21no—
1406D4—21no—
1407D4—21no—
1408D4—21no—
1409D4—21no—
1410D4—21no—
1411D4—21no—
1412D4—21no—
1413D4—21no—
1414D4—42no—
1415D4—42no—
1416D4—41no—
1417D4—41no—
1418D4—41no—
1419D4—41no—
1420D4—41no—
1421D4—41no—
1422D4—41no—
1423D4—41no—
1424D4—41no—
1425D4—41no—
1426D4—41no—
1427D4—41no—
1428D4—81no—
1429D4—81no—
1430D4—81no—
1431D4—81no—
1432D4—81no—
1433D4—82no—
1434D4—82no—
1435D4—82no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—161no—
1446D4—161no—
1447D4—161no—
1448D4—161no—
1449D4—161no—
1450D4—161no—
1451D4—161no—
1452D4#57512yes—
1453D4#57612yes—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—41no—
1469C2×C4—42no—
1470C2×C4—42no—
1471C2×C4—42no—
1472C2×C4—42no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
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—81no—
1491C2×C4—81no—
1492C2×C4—81no—
1493C2×C4—82no—
1494C2×C4—81no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—82no—
1498C2×C4—82no—
1499C2×C4—82no—
1500C2×C4—82no—
1501C2×C4—82no—
1502C2×C4—82no—
1503C2×C4—161no—
1504C2×C4—161no—
1505C2×C4—161no—
1506C2×C4—161no—
1507C2×C4—161no—
1508C2×C4—161no—
1509C2×C4D4211yescharacteristic
1510C2×C4D4211yescharacteristic
1511C2×C4D4211yescharacteristic
1512C2×C4C23×D411yescharacteristic
1513C2×C4C23×D411yescharacteristic
1514C2×C4C2×H(5,𝔽2)11yescharacteristic
1515C8—21no—
1516C8—21no—
1517C8—21no—
1518C8—21no—
1519C8—21no—
1520C8—21no—
1521C8—21no—
1522C8—21no—
1523C8—41no—
1524C8—41no—
1525C8—41no—
1526C8—41no—
1527C8—41no—
1528C8—41no—
1529C8—41no—
1530C8—41no—
1531C8—41no—
1532C8—41no—
1533C22—21no—
1534C22—22no—
1535C22—21no—
1536C22—22no—
1537C22—21no—
1538C22—41no—
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—84no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—164no—
1565C22—162no—
1566C22—322no—
1567C22—322no—
1568C22C2×D4211yescharacteristic
1569C4—21no—
1570C4—21no—
1571C4—21no—
1572C4—21no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—81no—
1584C4—81no—
1585C4—81no—
1586C4—81no—
1587C4—81no—
1588C4C2×#57511yescharacteristic
1589C4C2×#57611yescharacteristic
1590C4#358511yescharacteristic
1591C4#358511yescharacteristic
1592C2—41no—
1593C2—42no—
1594C2—42no—
1595C2—81no—
1596C2—81no—
1597C2—81no—
1598C2—81no—
1599C2—161no—
1600C2—161no—
1601C2—161no—
1602C2#6106611yescharacteristic
1603C2#6107211yescharacteristic
1604C2#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. #61989C2semidirect
2. #61604C2semidirect
3. #61539C2semidirect
4. #61161C2semidirect
5. #20303C2semidirect
6. #20262C2semidirect
7. #20256C2semidirect
8. #20194C2semidirect
9. #20178C2semidirect
10. #20132C2semidirect
11. #20070C2semidirect
12. #20038C2semidirect
13. #20022C2semidirect
14. #19970C2semidirect
15. #19916C2semidirect
16. #19899C2semidirect
17. #19820C2semidirect
18. #19791C2semidirect
19. #19771C2semidirect
20. #19755C2semidirect
21. #19722C2semidirect
22. #19482C2semidirect
23. #19461C2semidirect
24. #19383C2semidirect
25. #19306C2semidirect
26. #18843C2semidirect
27. #18810C2semidirect
28. #18794C2semidirect
29. #18756C2semidirect
30. #18050C2semidirect
31. #18008C2semidirect
32. #3519C22semidirect
34. D4×#41C22semidirect
35. C2×#547C22semidirect
36. #3399C22semidirect
37. #3399C22semidirect
38. #3397C22semidirect
39. #3384C22semidirect
40. #3373C22semidirect
41. #3367C22semidirect
42. #3361C22semidirect
43. #3358C22semidirect
45. #3340C22semidirect
46. #3332C22semidirect
47. #3332C22semidirect
48. #3331C22semidirect
49. #3331C22semidirect
51. #3330C22semidirect
53. #3325C22semidirect
54. #3324C22semidirect
65. #3303C22semidirect
66. #3298C22semidirect
67. #3298C22semidirect
68. #3298C22semidirect
70. #3294C22semidirect
71. #3294C22semidirect
72. #3284C22semidirect
73. #3284C22semidirect
74. D4×SD16C22semidirect
75. D4×D8C22semidirect
76. D4×D8C22semidirect
78. #3272C22semidirect
86. #3226C22semidirect
87. #3218C22semidirect
89. #3207C22semidirect
90. #3207C22semidirect
91. #3206C22semidirect
94. #3184C22semidirect
96. #3141C22semidirect
100. #3109C22semidirect
103. #3100C22semidirect
105. #3079C22semidirect
107. #3036C22semidirect
108. #3036C22semidirect
113. #2990C22semidirect
114. #2974C22semidirect
115. #2969C22semidirect
118. D4×M16C22semidirect
120. #1721C22semidirect
121. #1719C22semidirect
122. #1718C22semidirect
123. #1717C22semidirect
124. #1717C22semidirect
125. #1714C22semidirect
126. #1711C22semidirect
127. #1706C22semidirect
128. #1704C22semidirect
129. #1704C22semidirect
130. #1702C22semidirect
131. #1701C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1700C22semidirect
135. #1699C22semidirect
136. #1699C22semidirect
137. #1697C22semidirect
138. #1691C22semidirect
139. #1687C22semidirect
140. #1687C22semidirect
141. #1686C22semidirect
142. #1686C22semidirect
143. #1685C22semidirect
144. #1683C22semidirect
145. #1683C22semidirect
146. #1682C22semidirect
147. #1681C22semidirect
148. #1681C22semidirect
149. #1681C22semidirect
150. #1680C22semidirect
151. #1679C22semidirect
152. #1679C22semidirect
153. #1677C22semidirect
154. #1671C22semidirect
155. #1667C22semidirect
156. #1667C22semidirect
157. #1665C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1650C22semidirect
161. #1650C22semidirect
162. #1649C22semidirect
163. #1649C22semidirect
164. #1647C22semidirect
165. #1647C22semidirect
166. #1647C22semidirect
167. #1647C22semidirect
168. #1646C22semidirect
169. #1643C22semidirect
170. #1642C22semidirect
171. #1640C22semidirect
172. #1640C22semidirect
173. #1639C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
176. #1637C22semidirect
177. #1635C22semidirect
178. #1631C22semidirect
179. #1629C22semidirect
180. #1627C22semidirect
182. #1625C22semidirect
183. #1625C22semidirect
184. #1625C22semidirect
185. #1625C22semidirect
186. #1624C22semidirect
187. #1622C22semidirect
188. #1621C22semidirect
189. #1621C22semidirect
190. #1619C22semidirect
191. #1619C22semidirect
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. #1560C22semidirect
211. #1557C22semidirect
212. #1553C22semidirect
213. #1546C22semidirect
214. #1495C22semidirect
215. #1488C22semidirect
216. #1486C22semidirect
217. #1478C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#619892
#616042
#615392
#611612
#203032
#202622
#202562
#201942
#201782
#201322
#200702
#200382
#200222
#199702
#199162
#198992
#198202
#197912
#197712
#197552
#197222
#194822
#194612
#193832
#193062
#188432
#188102
#187942
#187562
#180502
#180082