Finite Group Databasebeta

← #6369306

Subgroups — #6369306

Order 512.

1728 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#61999C211yesmaximal, characteristic, complemented
2#61599C211yesmaximal, characteristic, complemented
3#61452C211yesmaximal, characteristic, complemented
4#61205C211yesmaximal, characteristic, complemented
5#20287C211yesmaximal, characteristic, complemented
6#20258C211yesmaximal, characteristic, complemented
7#20186C211yesmaximal, characteristic, complemented
8#20161C211yesmaximal, characteristic, complemented
9#20159C211yesmaximal, characteristic, complemented
10#20059C211yesmaximal, characteristic, complemented
11#20057C211yesmaximal, characteristic, complemented
12#20049C211yesmaximal, characteristic, complemented
13#20027C211yesmaximal, characteristic, complemented
14#19991C211yesmaximal, characteristic, complemented
15#19922C211yesmaximal, characteristic, complemented
16#19884C211yesmaximal, characteristic, complemented
17#19819C211yesmaximal, characteristic, complemented
18#19799C211yesmaximal, characteristic, complemented
19#19779C211yesmaximal, characteristic, complemented
20#19758C211yesmaximal, characteristic, complemented
21#19715C211yesmaximal, characteristic, complemented
22#19493C211yesmaximal, characteristic, complemented
23#19456C211yesmaximal, characteristic, complemented
24#19368C211yesmaximal, characteristic, complemented
25#19316C211yesmaximal, characteristic, complemented
26#18865C211yesmaximal, characteristic, complemented
27#18814C211yesmaximal, characteristic, complemented
28#18786C211yesmaximal, characteristic, complemented
29#18765C211yesmaximal, characteristic, complemented
30#18052C211yesmaximal, characteristic, complemented
31#18007C211yesmaximal, characteristic, complemented
32#3506C2211yescharacteristic
33#3498C2211yescharacteristic, complemented
34#3482C2211yescharacteristic
35D4×#41C2211yescharacteristic, complemented
36#3397C2211yescharacteristic, complemented
37#3392C2211yescharacteristic, complemented
38#3392C2211yescharacteristic, complemented
39#3386C2211yescharacteristic, complemented
40#3368C2211yescharacteristic, complemented
41#3367C2211yescharacteristic, complemented
42#3358C2211yescharacteristic, complemented
43#3358C2211yescharacteristic, complemented
44#3343—21no—
45#3334C2211yescharacteristic, complemented
46#3332C2211yescharacteristic
47#3332C2211yescharacteristic, complemented
48#3329C2211yescharacteristic, complemented
49#3325C2211yescharacteristic
50#3325C2211yescharacteristic, complemented
51#3325C2211yescharacteristic, complemented
52#3324—21no—
53#3324—21no—
54#3324C2211yescharacteristic, complemented
55#3324C2211yescharacteristic, complemented
56#3318—21no—
57#3318—21no—
58#3313—21no—
59#3311—21no—
60#3310—21no—
61#3309—21no—
62#3309—21no—
63#3308—21no—
64#3305C2211yescharacteristic
65#3305C2211yescharacteristic, complemented
66#3305C2211yescharacteristic, complemented
67#3303C2211yescharacteristic, complemented
68#3298C2211yescharacteristic, complemented
69#3294C2211yescharacteristic
70#3294C2211yescharacteristic, complemented
71#3294C2211yescharacteristic, complemented
72#3284C2211yescharacteristic, complemented
73#3283C2211yescharacteristic, complemented
74D4×SD16C2211yescharacteristic, complemented
75#3276C2211yescharacteristic, complemented
76#3272—21no—
77#3272—21no—
78#3272C2211yescharacteristic, complemented
79#3272C2211yescharacteristic, complemented
80#3272C2211yescharacteristic, complemented
81#3271—21no—
82#3268—21no—
83#3265—21no—
84#3254—21no—
85#3254C2211yescharacteristic, complemented
86#3231C2211yescharacteristic, complemented
87#3214C2211yescharacteristic
88#3210C2211yescharacteristic, complemented
89#3208—21no—
90#3208C2211yescharacteristic, complemented
91#3205C2211yescharacteristic
92#3197—21no—
93#3191—21no—
94#3182C2211yescharacteristic, complemented
95#3180—21no—
96#3138C2211yescharacteristic, complemented
97#3116C2211yescharacteristic, complemented
98#3115C2211yescharacteristic
99#3114—21no—
100#3112—21no—
101#3110C2211yescharacteristic, complemented
102#3106—21no—
103#3106C2211yescharacteristic
104#3096—21no—
105#3076C2211yescharacteristic, complemented
106#3058—21no—
107#3038—21no—
108#3038C2211yescharacteristic
109C2×#459C2211yescharacteristic
110#3008—21no—
111#3005—21no—
112#3002—21no—
113#2991C2211yescharacteristic, complemented
114#2974C2211yescharacteristic, complemented
115#2970C2211yescharacteristic, complemented
116C4×AGL(1,ℤ/8)C2211yescharacteristic
117C2×#440—21no—
118#2935C2211yescharacteristic, complemented
119#2897—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#1701C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1699C2211yescharacteristic, complemented
135#1698C2211yescharacteristic, complemented
136#1698C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1693C2211yescharacteristic, complemented
139#1689C2211yescharacteristic, complemented
140#1685C2211yescharacteristic, complemented
141#1685C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1681C2211yescharacteristic, 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#1670C2211yescharacteristic, complemented
156#1666C2211yescharacteristic, complemented
157#1665C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1654C2211yescharacteristic, complemented
162#1652C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1648C2211yescharacteristic, complemented
165#1647C2211yescharacteristic, complemented
166#1647C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1646C2211yescharacteristic, complemented
169#1646C2211yescharacteristic, complemented
170#1646C2211yescharacteristic, complemented
171#1646C2211yescharacteristic, complemented
172#1642C2211yescharacteristic, complemented
173#1642C2211yescharacteristic, complemented
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1638C2211yescharacteristic, complemented
177#1637C2211yescharacteristic, complemented
178#1636C2211yescharacteristic, complemented
179#1635C2211yescharacteristic, complemented
180#1627C2211yescharacteristic, complemented
181#1627C2211yescharacteristic, complemented
182#1625C2211yescharacteristic, complemented
183#1625C2211yescharacteristic, complemented
184#1621C2211yescharacteristic, complemented
185#1621C2211yescharacteristic, complemented
186#1621C2211yescharacteristic, complemented
187#1621C2211yescharacteristic, complemented
188#1619C2211yescharacteristic, complemented
189#1619C2211yescharacteristic, complemented
190#1619C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1586C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1559C2211yescharacteristic, complemented
211#1555C2211yescharacteristic, complemented
212#1552C2211yescharacteristic, complemented
213#1547C2211yescharacteristic, complemented
214#1496C2211yescharacteristic, complemented
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic, complemented
217#1477C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C22×#41—21no—
221C2×#137—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×AGL(1,ℤ/8)—21no—
226C2×AGL(1,ℤ/8)D411yescharacteristic
227C2×#135—21no—
228C2×#135—21no—
229C22×SD16—21no—
230C22×D8—21no—
231C2×#131—21no—
232#559—41no—
233#557C2311yescharacteristic
234#556—21no—
235#556—21no—
236#556C2311yescharacteristic
237#555C2311yescharacteristic
238#555C2311yescharacteristic
239#553—21no—
240#553—21no—
241#552—21no—
242#552—41no—
243#550—21no—
244#550—21no—
245#550C2311yescharacteristic
246#550C2311yescharacteristic
247#550C2311yescharacteristic
248D4×Q8C2311yescharacteristic
249D4×Q8C2311yescharacteristic
250#548—21no—
251#548—21no—
252#547—21no—
253#547—21no—
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#546—21no—
259#546—41no—
260D42—21no—
261D42—21no—
262D42—21no—
263D42—21no—
264D42—41no—
265D42C2311yescharacteristic
266D42C2311yescharacteristic
267D42C2311yescharacteristic
268#538—41no—
269#535—21no—
270#535—21no—
271#535—41no—
272#533—21no—
273#533C2311yescharacteristic
274#533C2311yescharacteristic
275#532—21no—
276#532—21no—
277#532C2311yescharacteristic
278#532C2311yescharacteristic
279C2×#127—21no—
280C2×#127C2311yescharacteristic
281#529—21no—
282#529—41no—
283#525—21no—
284#525—21no—
285#525—21no—
286#525—41no—
287#520—21no—
288C4×#41—21no—
289C4×#41C2311yescharacteristic
290C4×#41C2311yescharacteristic
291C2×C4×Q8—21no—
292C2×C4×D4—21no—
293C2×C4×D4C2311yescharacteristic
294#501—21no—
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#498C2311yescharacteristic
298#496—21no—
299#496—21no—
300#494C2311yescharacteristic
301#493C2311yescharacteristic
302#493C2311yescharacteristic
303#492—21no—
304#492—21no—
305#492C2311yescharacteristic
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#490—21no—
310#490—21no—
311#490—21no—
312#489—21no—
313#489—21no—
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#486—21no—
319#486—21no—
320#486C2311yescharacteristic
321#486C2311yescharacteristic
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#485—41no—
334#484—21no—
335#483—21no—
336#482—21no—
337#482—21no—
338#482—21no—
339#482—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482D411yescharacteristic
346#482D411yescharacteristic
347#481—21no—
348#481—21no—
349#480—21no—
350#480—21no—
351#480—21no—
352#480—21no—
353#480—21no—
354#479—21no—
355#479—41no—
356#478—21no—
357#478—21no—
358#478—21no—
359#477—21no—
360#477—21no—
361#477—21no—
362#477D411yescharacteristic
363#477C2311yescharacteristic
364#477C2311yescharacteristic
365#476D411yescharacteristic
366#476C2311yescharacteristic
367#476C2311yescharacteristic
368#475C2311yescharacteristic
369#475C2311yescharacteristic
370#474—21no—
371#474—21no—
372#474C2311yescharacteristic
373#474C2311yescharacteristic
374#474C2311yescharacteristic
375#474C2311yescharacteristic
376#474C2311yescharacteristic
377#474C2311yescharacteristic
378#470—21no—
379#469—21no—
380#469—21no—
381#469—21no—
382#469—21no—
383#469—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#468—21no—
393#468—21no—
394#467—21no—
395#466—21no—
396#466—21no—
397#466—21no—
398#466—21no—
399#466—21no—
400#466—21no—
401#466—21no—
402#465—21no—
403#465—21no—
404#465—21no—
405#465—21no—
406#464—21no—
407#464—21no—
408#463—21no—
409#463—21no—
410#462C2311yescharacteristic
411#461—21no—
412#461—21no—
413#461C2311yescharacteristic
414#461C2311yescharacteristic
415#461C2311yescharacteristic
416#461C2311yescharacteristic
417#461C2311yescharacteristic
418#461C2311yescharacteristic
419#461C2311yescharacteristic
420#460—21no—
421#460—21no—
422#460—21no—
423#460—21no—
424#460—21no—
425#460—21no—
426#460—21no—
427#460—21no—
428#460D411yescharacteristic
429#460C2311yescharacteristic
430#460C2311yescharacteristic
431#460C2311yescharacteristic
432#459—21no—
433#459—21no—
434#459—21no—
435#459—21no—
436#459—21no—
437#459—41no—
438#459D411yescharacteristic
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#452—21no—
453#452—21no—
454#452—21no—
455#451—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#449—21no—
466#449—21no—
467#449—21no—
468#449—21no—
469#449—21no—
470#449—21no—
471#449—21no—
472#449—21no—
473#449—21no—
474#449—21no—
475#449—21no—
476#449—21no—
477#449—21no—
478#449D411yescharacteristic
479#449D411yescharacteristic
480#448—21no—
481#448—21no—
482#448—21no—
483#447—21no—
484#447—21no—
485#447—21no—
486#447—21no—
487#447—21no—
488#447—21no—
489#447—41no—
490#446C2311yescharacteristic
491#446C2311yescharacteristic
492C8×Q8C2311yescharacteristic
493C8×Q8C2311yescharacteristic
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#440—21no—
507#440—21no—
508#440D411yescharacteristic
509#440D411yescharacteristic
510C4×SD16—21no—
511C4×SD16—21no—
512C4×SD16C2311yescharacteristic
513C4×SD16C2311yescharacteristic
514C4×SD16C2311yescharacteristic
515C4×SD16C2311yescharacteristic
516C4×D8—21no—
517C4×D8—21no—
518C4×D8C2311yescharacteristic
519C4×D8C2311yescharacteristic
520C4×D8C2311yescharacteristic
521C4×D8C2311yescharacteristic
522#436—21no—
523#436—21no—
524#436C2311yescharacteristic
525#436C2311yescharacteristic
526#436C2311yescharacteristic
527#436C2311yescharacteristic
528#436C2311yescharacteristic
529#436C2311yescharacteristic
530#435—21no—
531#435—21no—
532#435—21no—
533#435—21no—
534#435—21no—
535#435—21no—
536C8×D4C2311yescharacteristic
537C8×D4C2311yescharacteristic
538C8×D4C2311yescharacteristic
539C8×D4C2311yescharacteristic
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic
542#432—21no—
543#432C2311yescharacteristic
544#432C2311yescharacteristic
545#431—21no—
546#431C2311yescharacteristic
547#431C2311yescharacteristic
548#428D411yescharacteristic
549#427—21no—
550C2×#107—21no—
551#423—21no—
552#423C2311yescharacteristic
553C2×C4⋊C8C2311yescharacteristic
554#419—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#418D411yescharacteristic
564#417—21no—
565#417—21no—
566#417D411yescharacteristic
567#416—21no—
568#416—21no—
569#416—21no—
570#416—21no—
571#416—21no—
572C2×#103—21no—
573C2×#102—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577#408—21no—
578#407—21no—
579C2×C22⋊C8—21no—
580C4×M16C2311yescharacteristic
581C2×#97—21no—
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
626H(5,𝔽2)—44no—
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—41no—
638C2×#41—41no—
639C2×#41—41no—
640C2×#41—82no—
641C2×#41—82no—
642C2×#41C2×D411yescharacteristic
643C2×#41C2×D411yescharacteristic
644C22×Q8—21no—
645C22×Q8—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4—41no—
658C22×D4—41no—
659C22×D4—41no—
660C22×D4C2×D411yescharacteristic
661C23×C4—21no—
662C23×C4—41no—
663#137—82no—
664AGL(1,ℤ/8)—42no—
665AGL(1,ℤ/8)—82no—
666AGL(1,ℤ/8)—82no—
667AGL(1,ℤ/8)—82no—
668AGL(1,ℤ/8)—82no—
669#135—82no—
670#135—82no—
671C2×Q16—21no—
672C2×Q16—21no—
673C2×Q16—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—21no—
692C2×SD16—44no—
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—21no—
706C2×D8—41no—
707C2×D8—41no—
708C2×D8—82no—
709C2×D8C2×D411yescharacteristic
710C2×D8C2×D411yescharacteristic
711C2×D8C2×D411yescharacteristic
712C2×D8C2×D411yescharacteristic
713#131—82no—
714C2×M16—21no—
715C2×M16—21no—
716C2×M16—21no—
717C2×M16—21no—
718C2×M16—21no—
719C2×M16—21no—
720C2×M16—21no—
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⋊Q8C2×D411yescharacteristic
734C4⋊Q8C2411yescharacteristic
735C4⋊Q8C2411yescharacteristic
736C4⋊Q8C2411yescharacteristic
737C4⋊Q8C2411yescharacteristic
738C4⋊Q8C2411yescharacteristic
739#127—21no—
740#127—21no—
741#127—21no—
742#127—21no—
743#127—21no—
744#127—21no—
745#127—41no—
746#127—41no—
747#127—41no—
748#127C2×D411yescharacteristic
749#127C2411yescharacteristic
750#127C2411yescharacteristic
751#127C2411yescharacteristic
752#126—41no—
753#126—41no—
754#126—41no—
755#126—41no—
756#126—41no—
757#125—21no—
758#125—21no—
759#125—21no—
760#125—41no—
761#125—41no—
762#124—21no—
763#124—21no—
764#124—21no—
765#124—41no—
766#124—41no—
767#124—41no—
768#124—41no—
769#124—41no—
770#124—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—21no—
791C22⋊Q8—21no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
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—21no—
815#121—21no—
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#121C2×D411yescharacteristic
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—
838#120—41no—
839#120—41no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8—21no—
843C4×Q8—21no—
844C4×Q8—21no—
845C4×Q8—21no—
846C4×Q8—21no—
847C4×Q8—41no—
848C4×Q8—41no—
849C4×Q8—41no—
850C4×Q8C2×D411yescharacteristic
851C4×Q8C2×D411yescharacteristic
852C4×Q8C2411yescharacteristic
853C4×Q8C2411yescharacteristic
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—21no—
865C4×D4—21no—
866C4×D4—21no—
867C4×D4—21no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4—41no—
871C4×D4—41no—
872C4×D4—41no—
873C4×D4—41no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4—41no—
878C4×D4—41no—
879C4×D4C2×D411yescharacteristic
880C4×D4C2×D411yescharacteristic
881C4×D4C2×D411yescharacteristic
882C4×D4C2×D411yescharacteristic
883C4×D4C2411yescharacteristic
884C4×D4C2411yescharacteristic
885C4×D4C2411yescharacteristic
886C4×D4C2411yescharacteristic
887C4×D4C2411yescharacteristic
888C4×D4C2411yescharacteristic
889#117—21no—
890#117—21no—
891#117—21no—
892#117—21no—
893#117—21no—
894#117—21no—
895#117—21no—
896#117—21no—
897#117—21no—
898#117—41no—
899#117—41no—
900#117C2×D411yescharacteristic
901#117C2×D411yescharacteristic
902C2×C4⋊C4—21no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—41no—
907C2×C4⋊C4C2×D411yescharacteristic
908C2×C22⋊C4—21no—
909C2×C22⋊C4—41no—
910C2×C42—21no—
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—21no—
970#103—21no—
971#103—41no—
972#103—41no—
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
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—41no—
1060C24—41no—
1061C24—41no—
1062C24—41no—
1063#41—22no—
1064#41—22no—
1065#41—41no—
1066#41—41no—
1067#41—42no—
1068#41—42no—
1069#41—42no—
1070#41—42no—
1071#41—42no—
1072#41—42no—
1073#41—42no—
1074#41—81no—
1075#41—81no—
1076#41—81no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—81no—
1081#41—84no—
1082#41—84no—
1083#41—81no—
1084#41—81no—
1085#41—81no—
1086#41—81no—
1087#41—84no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—21no—
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×Q8—42no—
1097C2×Q8—42no—
1098C2×Q8—81no—
1099C2×Q8—81no—
1100C2×Q8C22×D411yescharacteristic
1101C2×Q8C22×D411yescharacteristic
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—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—42no—
1121C2×D4—42no—
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—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—84no—
1159C2×D4—84no—
1160C2×D4—84no—
1161C2×D4—84no—
1162C2×D4—161no—
1163C2×D4—162no—
1164C2×D4C22×D411yescharacteristic
1165C2×D4C22×D411yescharacteristic
1166C2×D4C22×D411yescharacteristic
1167C2×D4C22×D411yescharacteristic
1168C2×D4C22×D411yescharacteristic
1169C2×D4C22×D411yescharacteristic
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—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
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—41no—
1193C22×C4—81no—
1194C22×C4—81no—
1195C22×C4—84no—
1196C22×C4C22×D411yescharacteristic
1197C22×C4C22×D411yescharacteristic
1198C22×C4H(5,𝔽2)11yescharacteristic
1199Q16—42no—
1200Q16—81no—
1201Q16—81no—
1202SD16—22no—
1203SD16—22no—
1204SD16—41no—
1205SD16—41no—
1206SD16—42no—
1207SD16—42no—
1208SD16—42no—
1209SD16—42no—
1210SD16—81no—
1211SD16—81no—
1212SD16—81no—
1213SD16—81no—
1214SD16—81no—
1215SD16—81no—
1216SD16—81no—
1217SD16—81no—
1218SD16—81no—
1219SD16—81no—
1220SD16—81no—
1221SD16—81no—
1222SD16—81no—
1223SD16—81no—
1224D8—22no—
1225D8—22no—
1226D8—41no—
1227D8—41no—
1228D8—42no—
1229D8—42no—
1230D8—81no—
1231D8—81no—
1232D8—81no—
1233D8—81no—
1234D8—81no—
1235D8—81no—
1236D8—81no—
1237D8—161no—
1238D8—161no—
1239M16—41no—
1240M16—41no—
1241M16—81no—
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—42no—
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—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—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
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—
1347C42—21no—
1348C42—21no—
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—41no—
1370C23—41no—
1371C23—41no—
1372C23—81no—
1373C23—81no—
1374C23—81no—
1375C23—82no—
1376C23—82no—
1377C23—82no—
1378C23—82no—
1379C23—82no—
1380C23—161no—
1381C23—161no—
1382C23—161no—
1383C23—161no—
1384C23—161no—
1385C23—161no—
1386C23—161no—
1387C23D4211yescharacteristic
1388Q8—21no—
1389Q8—21no—
1390Q8—21no—
1391Q8—42no—
1392Q8—41no—
1393Q8—41no—
1394Q8—41no—
1395Q8—41no—
1396Q8—41no—
1397Q8—41no—
1398Q8—41no—
1399Q8—41no—
1400Q8—82no—
1401Q8—81no—
1402Q8—82no—
1403Q8#57512yes—
1404D4—21no—
1405D4—21no—
1406D4—21no—
1407D4—21no—
1408D4—21no—
1409D4—21no—
1410D4—21no—
1411D4—21no—
1412D4—21no—
1413D4—21no—
1414D4—21no—
1415D4—42no—
1416D4—42no—
1417D4—42no—
1418D4—42no—
1419D4—42no—
1420D4—41no—
1421D4—41no—
1422D4—41no—
1423D4—41no—
1424D4—41no—
1425D4—41no—
1426D4—41no—
1427D4—41no—
1428D4—41no—
1429D4—41no—
1430D4—41no—
1431D4—41no—
1432D4—81no—
1433D4—81no—
1434D4—82no—
1435D4—82no—
1436D4—81no—
1437D4—81no—
1438D4—81no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—161no—
1450D4—161no—
1451D4—161no—
1452D4—161no—
1453D4—161no—
1454D4—161no—
1455D4—161no—
1456D4—161no—
1457D4—161no—
1458D4—161no—
1459D4#57612yes—
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—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—41no—
1475C2×C4—42no—
1476C2×C4—42no—
1477C2×C4—42no—
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—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—81no—
1496C2×C4—81no—
1497C2×C4—81no—
1498C2×C4—82no—
1499C2×C4—82no—
1500C2×C4—82no—
1501C2×C4—82no—
1502C2×C4—81no—
1503C2×C4—82no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—82no—
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—21no—
1535C22—22no—
1536C22—21no—
1537C22—41no—
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—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—162no—
1564C22—164no—
1565C22—322no—
1566C22—322no—
1567C22—322no—
1568C22C2×D4211yescharacteristic
1569C4—21no—
1570C4—22no—
1571C4—21no—
1572C4—21no—
1573C4—21no—
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—81no—
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. #61999C2semidirect
2. #61599C2semidirect
3. #61452C2semidirect
4. #61205C2semidirect
5. #20287C2semidirect
6. #20258C2semidirect
7. #20186C2semidirect
8. #20161C2semidirect
9. #20159C2semidirect
10. #20059C2semidirect
11. #20057C2semidirect
12. #20049C2semidirect
13. #20027C2semidirect
14. #19991C2semidirect
15. #19922C2semidirect
16. #19884C2semidirect
17. #19819C2semidirect
18. #19799C2semidirect
19. #19779C2semidirect
20. #19758C2semidirect
21. #19715C2semidirect
22. #19493C2semidirect
23. #19456C2semidirect
24. #19368C2semidirect
25. #19316C2semidirect
26. #18865C2semidirect
27. #18814C2semidirect
28. #18786C2semidirect
29. #18765C2semidirect
30. #18052C2semidirect
31. #18007C2semidirect
33. #3498C22semidirect
35. D4×#41C22semidirect
36. #3397C22semidirect
37. #3392C22semidirect
38. #3392C22semidirect
39. #3386C22semidirect
40. #3368C22semidirect
41. #3367C22semidirect
42. #3358C22semidirect
43. #3358C22semidirect
45. #3334C22semidirect
47. #3332C22semidirect
48. #3329C22semidirect
50. #3325C22semidirect
51. #3325C22semidirect
54. #3324C22semidirect
55. #3324C22semidirect
65. #3305C22semidirect
66. #3305C22semidirect
67. #3303C22semidirect
68. #3298C22semidirect
70. #3294C22semidirect
71. #3294C22semidirect
72. #3284C22semidirect
73. #3283C22semidirect
74. D4×SD16C22semidirect
75. #3276C22semidirect
78. #3272C22semidirect
79. #3272C22semidirect
80. #3272C22semidirect
85. #3254C22semidirect
86. #3231C22semidirect
88. #3210C22semidirect
90. #3208C22semidirect
94. #3182C22semidirect
96. #3138C22semidirect
97. #3116C22semidirect
101. #3110C22semidirect
105. #3076C22semidirect
113. #2991C22semidirect
114. #2974C22semidirect
115. #2970C22semidirect
118. #2935C22semidirect
120. #1722C22semidirect
121. #1720C22semidirect
122. #1719C22semidirect
123. #1717C22semidirect
124. #1717C22semidirect
125. #1715C22semidirect
126. #1711C22semidirect
127. #1706C22semidirect
128. #1703C22semidirect
129. #1702C22semidirect
130. #1702C22semidirect
131. #1701C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1699C22semidirect
135. #1698C22semidirect
136. #1698C22semidirect
137. #1697C22semidirect
138. #1693C22semidirect
139. #1689C22semidirect
140. #1685C22semidirect
141. #1685C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1684C22semidirect
145. #1681C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1681C22semidirect
149. #1681C22semidirect
150. #1679C22semidirect
151. #1678C22semidirect
152. #1677C22semidirect
153. #1677C22semidirect
154. #1673C22semidirect
155. #1670C22semidirect
156. #1666C22semidirect
157. #1665C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1654C22semidirect
162. #1652C22semidirect
163. #1651C22semidirect
164. #1648C22semidirect
165. #1647C22semidirect
166. #1647C22semidirect
167. #1647C22semidirect
168. #1646C22semidirect
169. #1646C22semidirect
170. #1646C22semidirect
171. #1646C22semidirect
172. #1642C22semidirect
173. #1642C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
176. #1638C22semidirect
177. #1637C22semidirect
178. #1636C22semidirect
179. #1635C22semidirect
180. #1627C22semidirect
181. #1627C22semidirect
182. #1625C22semidirect
183. #1625C22semidirect
184. #1621C22semidirect
185. #1621C22semidirect
186. #1621C22semidirect
187. #1621C22semidirect
188. #1619C22semidirect
189. #1619C22semidirect
190. #1619C22semidirect
191. #1619C22semidirect
192. #1594C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1589C22semidirect
196. #1588C22semidirect
197. #1586C22semidirect
198. #1586C22semidirect
199. #1585C22semidirect
200. #1583C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1569C22semidirect
210. #1559C22semidirect
211. #1555C22semidirect
212. #1552C22semidirect
213. #1547C22semidirect
214. #1496C22semidirect
215. #1488C22semidirect
216. #1486C22semidirect
217. #1477C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#619992
#615992
#614522
#612052
#202872
#202582
#201862
#201612
#201592
#200592
#200572
#200492
#200272
#199912
#199222
#198842
#198192
#197992
#197792
#197582
#197152
#194932
#194562
#193682
#193162
#188652
#188142
#187862
#187652
#180522
#180072