Finite Group Databasebeta

← #6369310

Subgroups — #6369310

Order 512.

1670 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62148C211yesmaximal, characteristic, complemented
2#61599C211yesmaximal, characteristic, complemented
3#61452C211yesmaximal, characteristic, complemented
4#61209C211yesmaximal, characteristic, complemented
5#20291C211yesmaximal, characteristic, complemented
6#20254C211yesmaximal, characteristic, complemented
7#20241C211yesmaximal, characteristic, complemented
8#20182C211yesmaximal, characteristic, complemented
9#20162C211yesmaximal, characteristic, complemented
10#20137C211yesmaximal, characteristic, complemented
11#20060C211yesmaximal, characteristic, complemented
12#20056C211yesmaximal, characteristic, complemented
13#20045C211yesmaximal, characteristic, complemented
14#19979C211yesmaximal, characteristic, complemented
15#19918C211yesmaximal, characteristic, complemented
16#19899C211yesmaximal, characteristic, complemented
17#19803C211yesmaximal, characteristic, complemented
18#19795C211yesmaximal, characteristic, complemented
19#19780C211yesmaximal, characteristic, complemented
20#19776C211yesmaximal, characteristic, complemented
21#19723C211yesmaximal, characteristic, complemented
22#19493C211yesmaximal, characteristic, complemented
23#19464C211yesmaximal, characteristic, complemented
24#19368C211yesmaximal, characteristic, complemented
25#19317C211yesmaximal, characteristic, complemented
26#18865C211yesmaximal, characteristic, complemented
27#18826C211yesmaximal, characteristic, complemented
28#18799C211yesmaximal, characteristic, complemented
29#18765C211yesmaximal, characteristic, complemented
30#18052C211yesmaximal, characteristic, complemented
31#18007C211yesmaximal, characteristic, complemented
32#3506C2211yescharacteristic
33#3499C2211yescharacteristic, complemented
34#3482C2211yescharacteristic
35D4×#41C2211yescharacteristic
36#3397C2211yescharacteristic
37#3386C2211yescharacteristic
38Q8×D8C2211yescharacteristic, complemented
39Q8×D8C2211yescharacteristic, complemented
40#3368C2211yescharacteristic
41#3367C2211yescharacteristic
42#3359C2211yescharacteristic, complemented
43#3359C2211yescharacteristic, complemented
44#3353—21no—
45#3353—21no—
46#3353C2211yescharacteristic, complemented
47#3353C2211yescharacteristic, complemented
48#3343—21no—
49#3334C2211yescharacteristic
50#3330—21no—
51#3330—21no—
52#3330C2211yescharacteristic
53#3330C2211yescharacteristic, complemented
54#3330C2211yescharacteristic, complemented
55#3330C2211yescharacteristic, complemented
56#3329C2211yescharacteristic
57#3329C2211yescharacteristic
58#3329C2211yescharacteristic, complemented
59#3325C2211yescharacteristic
60#3320—21no—
61#3320—21no—
62#3313—21no—
63#3311—21no—
64#3310—21no—
65#3308—21no—
66#3307—21no—
67#3307—21no—
68#3305C2211yescharacteristic
69#3303C2211yescharacteristic
70#3303C2211yescharacteristic
71#3303C2211yescharacteristic, complemented
72#3298C2211yescharacteristic
73#3298C2211yescharacteristic
74#3298C2211yescharacteristic, complemented
75#3294C2211yescharacteristic
76#3284C2211yescharacteristic
77#3283C2211yescharacteristic
78D4×SD16C2211yescharacteristic
79#3276C2211yescharacteristic
80#3272C2211yescharacteristic
81#3271—21no—
82#3268—21no—
83#3265—21no—
84#3254—21no—
85#3254C2211yescharacteristic, complemented
86#3231C2211yescharacteristic, complemented
87#3230—21no—
88#3230C2211yescharacteristic, complemented
89#3227C2211yescharacteristic
90#3214C2211yescharacteristic
91#3210C2211yescharacteristic
92#3197—21no—
93#3191—21no—
94#3182C2211yescharacteristic
95#3180—21no—
96#3139C2211yescharacteristic, complemented
97#3116C2211yescharacteristic
98#3115C2211yescharacteristic
99#3114—21no—
100#3112—21no—
101#3110C2211yescharacteristic
102#3106—21no—
103#3106C2211yescharacteristic
104#3097—21no—
105#3079—21no—
106#3079C2211yescharacteristic
107#3076C2211yescharacteristic, complemented
108#3057—21no—
109C2×#461C2211yescharacteristic
110#3010—21no—
111#3005—21no—
112#3002—21no—
113#2991C2211yescharacteristic, complemented
114#2974C2211yescharacteristic
115#2970C2211yescharacteristic
116C4×AGL(1,ℤ/8)C2211yescharacteristic
117C2×#440—21no—
118#2935C2211yescharacteristic, complemented
119#2898—21no—
120#1723C2211yescharacteristic, complemented
121#1719C2211yescharacteristic, complemented
122#1719C2211yescharacteristic, complemented
123#1718C2211yescharacteristic, complemented
124#1718C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1711C2211yescharacteristic, complemented
127#1707C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1704C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1700C2211yescharacteristic, complemented
133#1700C2211yescharacteristic, complemented
134#1699C2211yescharacteristic
135#1699C2211yescharacteristic
136#1699C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1693C2211yescharacteristic
139#1693C2211yescharacteristic
140#1693C2211yescharacteristic, complemented
141#1689C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1683C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1679C2211yescharacteristic, complemented
149#1679C2211yescharacteristic, complemented
150#1679C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1679C2211yescharacteristic, complemented
153#1678C2211yescharacteristic, complemented
154#1673C2211yescharacteristic, complemented
155#1673C2211yescharacteristic, complemented
156#1673C2211yescharacteristic, complemented
157#1670C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic
162#1654C2211yescharacteristic
163#1654C2211yescharacteristic, complemented
164#1654C2211yescharacteristic, complemented
165#1654C2211yescharacteristic, complemented
166#1652C2211yescharacteristic, complemented
167#1651C2211yescharacteristic
168#1651C2211yescharacteristic
169#1651C2211yescharacteristic, complemented
170#1651C2211yescharacteristic, complemented
171#1651C2211yescharacteristic, complemented
172#1648C2211yescharacteristic, complemented
173#1647C2211yescharacteristic
174#1647C2211yescharacteristic, complemented
175#1647C2211yescharacteristic, complemented
176#1646C2211yescharacteristic
177#1646C2211yescharacteristic
178#1646C2211yescharacteristic, complemented
179#1646C2211yescharacteristic, complemented
180#1642C2211yescharacteristic
181#1642C2211yescharacteristic
182#1639C2211yescharacteristic
183#1639C2211yescharacteristic
184#1638C2211yescharacteristic, complemented
185#1637C2211yescharacteristic, complemented
186#1636C2211yescharacteristic, complemented
187#1635C2211yescharacteristic, complemented
188#1627C2211yescharacteristic, complemented
189#1627C2211yescharacteristic, complemented
190#1625C2211yescharacteristic, complemented
191#1625C2211yescharacteristic, complemented
192#1594C2211yescharacteristic
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1589C2211yescharacteristic
196#1588C2211yescharacteristic
197#1586C2211yescharacteristic, complemented
198#1586C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1583C2211yescharacteristic
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#1556C2211yescharacteristic, complemented
212#1552C2211yescharacteristic, complemented
213#1547C2211yescharacteristic
214#1496C2211yescharacteristic, complemented
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic
217#1477C2211yescharacteristic
218#1453C2211yescharacteristic, complemented
219C2×2−1+4—21no—
220C22×#41—21no—
221C2×#137—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)D411yescharacteristic
224C2×#135—21no—
225C2×#135—21no—
226C22×SD16—21no—
227C22×SD16—21no—
228C2×#131—21no—
229#559—41no—
230#557C2311yescharacteristic
231#556—21no—
232#556—21no—
233#556C2311yescharacteristic
234#555C2311yescharacteristic
235#555C2311yescharacteristic
236#553—21no—
237#553—21no—
238#552—21no—
239#552—41no—
240#550—21no—
241#550C2311yescharacteristic
242D4×Q8—21no—
243D4×Q8C2311yescharacteristic
244D4×Q8C2311yescharacteristic
245D4×Q8C2311yescharacteristic
246D4×Q8C2311yescharacteristic
247#548—21no—
248#548—21no—
249#547—21no—
250#547—21no—
251#547—21no—
252#547—21no—
253#547—21no—
254#547—41no—
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#547C2311yescharacteristic
259#547C2311yescharacteristic
260#547C2311yescharacteristic
261#546—21no—
262#546—41no—
263D42—21no—
264D42C2311yescharacteristic
265#538—41no—
266#536—21no—
267#536—41no—
268#535—21no—
269#533—21no—
270#533C2311yescharacteristic
271#533C2311yescharacteristic
272#532—21no—
273#532—21no—
274#532C2311yescharacteristic
275#532C2311yescharacteristic
276C2×C4⋊Q8—21no—
277C2×C4⋊Q8C2311yescharacteristic
278#529—21no—
279#529—41no—
280#525—21no—
281#525—21no—
282#525—21no—
283#525—41no—
284#520—21no—
285C4×#41—21no—
286C4×#41C2311yescharacteristic
287C4×#41C2311yescharacteristic
288C2×C4×Q8—21no—
289C2×C4×D4—21no—
290C2×C4×D4C2311yescharacteristic
291#501—21no—
292#500—21no—
293#500—21no—
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#500C2311yescharacteristic
298#498C2311yescharacteristic
299#498C2311yescharacteristic
300#498C2311yescharacteristic
301#496—21no—
302#496—21no—
303#494C2311yescharacteristic
304#492C2311yescharacteristic
305#492C2311yescharacteristic
306#491—21no—
307#491—21no—
308#490—21no—
309#489—21no—
310#489—21no—
311#487—21no—
312#487—21no—
313#487C2311yescharacteristic
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic
327#485—21no—
328#485—21no—
329#485—21no—
330#485—21no—
331#485—21no—
332#485—21no—
333#485—21no—
334#485—41no—
335#484—21no—
336#484—21no—
337#484—21no—
338#484—21no—
339#484—21no—
340#484—21no—
341#484—21no—
342#484—21no—
343#484—21no—
344#483—21no—
345#483—21no—
346#483—21no—
347#482—21no—
348#482—21no—
349#482—21no—
350#482—21no—
351#482—21no—
352#482D411yescharacteristic
353#482D411yescharacteristic
354#481—41no—
355#480—21no—
356#480—21no—
357#480—21no—
358#479—21no—
359#479—41no—
360#478—21no—
361#478—21no—
362#478—21no—
363#477—21no—
364#477—21no—
365#477—21no—
366#477—21no—
367#477—21no—
368#477—21no—
369#477D411yescharacteristic
370#477C2311yescharacteristic
371#477C2311yescharacteristic
372#476—21no—
373#476—41no—
374#476D411yescharacteristic
375#476C2311yescharacteristic
376#476C2311yescharacteristic
377#475—21no—
378#475—21no—
379#475C2311yescharacteristic
380#475C2311yescharacteristic
381#475C2311yescharacteristic
382#475C2311yescharacteristic
383#474—21no—
384#474—21no—
385#474—21no—
386#474—21no—
387#474C2311yescharacteristic
388#474C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#474C2311yescharacteristic
393#474C2311yescharacteristic
394#474C2311yescharacteristic
395#470—21no—
396#469—21no—
397#468—21no—
398#468—21no—
399#468—21no—
400#468—21no—
401#468—21no—
402#468—21no—
403#468—21no—
404#468—21no—
405#468—21no—
406#468—21no—
407#468—21no—
408#468—21no—
409#468—21no—
410#468—21no—
411#467—21no—
412#466—21no—
413#466—21no—
414#466—21no—
415#465—21no—
416#465—21no—
417#465—21no—
418#465—21no—
419#465—21no—
420#465—21no—
421#465—21no—
422#465—21no—
423#464—21no—
424#464—21no—
425#463—21no—
426#463—21no—
427#462C2311yescharacteristic
428#461—21no—
429#461—21no—
430#461—21no—
431#461—21no—
432#461C2311yescharacteristic
433#461C2311yescharacteristic
434#461C2311yescharacteristic
435#461C2311yescharacteristic
436#461C2311yescharacteristic
437#461C2311yescharacteristic
438#461C2311yescharacteristic
439#461C2311yescharacteristic
440#461C2311yescharacteristic
441#461C2311yescharacteristic
442#461C2311yescharacteristic
443#460—21no—
444#460—21no—
445#460—21no—
446#460D411yescharacteristic
447#460C2311yescharacteristic
448#459D411yescharacteristic
449#459C2311yescharacteristic
450#459C2311yescharacteristic
451#459C2311yescharacteristic
452#452—21no—
453#452—21no—
454#452—21no—
455#452—21no—
456#452—21no—
457#452—21no—
458#452—21no—
459#451—21no—
460#450—21no—
461#450—21no—
462#450—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—21no—
472#449—21no—
473#449—21no—
474#449—21no—
475#449—21no—
476#449D411yescharacteristic
477#449D411yescharacteristic
478#448—21no—
479#448—21no—
480#448—21no—
481#448—21no—
482#448—21no—
483#448—21no—
484#448—21no—
485#447—21no—
486#447—21no—
487#446C2311yescharacteristic
488#446C2311yescharacteristic
489C8×Q8C2311yescharacteristic
490C8×Q8C2311yescharacteristic
491#442—21no—
492#442D411yescharacteristic
493#442D411yescharacteristic
494#441—21no—
495#440—21no—
496#440—21no—
497#440—21no—
498#440—21no—
499#440—21no—
500#440—21no—
501#440—21no—
502#440—21no—
503#440—21no—
504#440—21no—
505#440D411yescharacteristic
506#440D411yescharacteristic
507C4×SD16—21no—
508C4×SD16—21no—
509C4×SD16C2311yescharacteristic
510C4×SD16C2311yescharacteristic
511C4×SD16C2311yescharacteristic
512C4×SD16C2311yescharacteristic
513C4×D8—21no—
514C4×D8—21no—
515C4×D8C2311yescharacteristic
516C4×D8C2311yescharacteristic
517C4×D8C2311yescharacteristic
518C4×D8C2311yescharacteristic
519#436—21no—
520#436—21no—
521#436C2311yescharacteristic
522#436C2311yescharacteristic
523#436C2311yescharacteristic
524#436C2311yescharacteristic
525#436C2311yescharacteristic
526#436C2311yescharacteristic
527#435—21no—
528#435—21no—
529#435—21no—
530#435—21no—
531#435—21no—
532#435—21no—
533C8×D4C2311yescharacteristic
534C8×D4C2311yescharacteristic
535C8×D4C2311yescharacteristic
536C8×D4C2311yescharacteristic
537C8×D4C2311yescharacteristic
538C8×D4C2311yescharacteristic
539#432—21no—
540#432C2311yescharacteristic
541#432C2311yescharacteristic
542#431—21no—
543#431C2311yescharacteristic
544#431C2311yescharacteristic
545#428—21no—
546#428—21no—
547#428—21no—
548#428D411yescharacteristic
549#427—21no—
550C2×#107—21no—
551#423—21no—
552#423C2311yescharacteristic
553C2×C4⋊C8C2311yescharacteristic
554#419—21no—
555#419—21no—
556#419—21no—
557#419—21no—
558#419—21no—
559#418—21no—
560#418D411yescharacteristic
561#417—21no—
562#417—21no—
563#417—21no—
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×#103—21no—
574C2×#103—21no—
575C2×#103—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#332C2311yescharacteristic
601#332C2311yescharacteristic
602#332C2311yescharacteristic
603#332C2311yescharacteristic
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
6262−1+4—44no—
6272−1+4—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—41no—
641C2×#41—41no—
642C2×#41—82no—
643C2×#41—82no—
644C2×#41C2×D411yescharacteristic
645C2×#41C2×D411yescharacteristic
646C22×Q8—21no—
647C22×Q8—21no—
648C22×Q8—21no—
649C22×Q8—21no—
650C22×Q8—21no—
651C22×Q8—41no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—41no—
655C22×D4C2×D411yescharacteristic
656C23×C4—21no—
657C23×C4—41no—
658#137—82no—
659AGL(1,ℤ/8)—42no—
660AGL(1,ℤ/8)—82no—
661#135—82no—
662#135—82no—
663C2×Q16—21no—
664C2×Q16—21no—
665C2×Q16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—21no—
682C2×SD16—44no—
683C2×SD16—82no—
684C2×SD16C2×D411yescharacteristic
685C2×SD16C2×D411yescharacteristic
686C2×SD16C2×D411yescharacteristic
687C2×SD16C2×D411yescharacteristic
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8C2×D411yescharacteristic
692C2×D8C2×D411yescharacteristic
693C2×D8C2×D411yescharacteristic
694C2×D8C2×D411yescharacteristic
695#131—82no—
696C2×M16—21no—
697C2×M16—21no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—21no—
703C2×M16C2×D411yescharacteristic
704C2×M16C2×D411yescharacteristic
705C22×C8—21no—
706C22×C8—21no—
707C22×C8—21no—
708C22×C8—21no—
709C22×C8—21no—
710C22×C8—21no—
711C22×C8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—21no—
714C4⋊Q8—21no—
715C4⋊Q8—21no—
716C4⋊Q8—21no—
717C4⋊Q8—21no—
718C4⋊Q8—21no—
719C4⋊Q8—21no—
720C4⋊Q8—41no—
721C4⋊Q8—41no—
722C4⋊Q8C2×D411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725C4⋊Q8C2411yescharacteristic
726C4⋊Q8C2411yescharacteristic
727C4⋊Q8C2411yescharacteristic
728C4⋊Q8C2411yescharacteristic
729C4⋊Q8C2411yescharacteristic
730#127—21no—
731#127—41no—
732#127C2×D411yescharacteristic
733#127C2411yescharacteristic
734#126—41no—
735#126—41no—
736#126—41no—
737#126—41no—
738#126—41no—
739#125—21no—
740#125—21no—
741#125—21no—
742#125—41no—
743#125—41no—
744#124—21no—
745#124—21no—
746#124—21no—
747#124—41no—
748#124—41no—
749#124—41no—
750#124—41no—
751#124—41no—
752#124—41no—
753#123—41no—
754#123—41no—
755#123—41no—
756#123—41no—
757#123—41no—
758#123—41no—
759#123—41no—
760#123—41no—
761#123—41no—
762#123—41no—
763#123—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769C22⋊Q8—21no—
770C22⋊Q8—21no—
771C22⋊Q8—21no—
772C22⋊Q8—21no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792#121—21no—
793#121—21no—
794#121—21no—
795#121—21no—
796#121—21no—
797#121—21no—
798#121—21no—
799#121—21no—
800#121—21no—
801#121—21no—
802#121—21no—
803#121—21no—
804#121—21no—
805#121—21no—
806#121—21no—
807#121—21no—
808#121—41no—
809#121—41no—
810#121—41no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121—41no—
815#121C2×D411yescharacteristic
816#121C2×D411yescharacteristic
817#120—41no—
818#120—41no—
819#120—41no—
820#120—41no—
821#120—41no—
822C4×Q8—21no—
823C4×Q8—21no—
824C4×Q8—21no—
825C4×Q8—21no—
826C4×Q8—21no—
827C4×Q8—21no—
828C4×Q8—21no—
829C4×Q8—41no—
830C4×Q8—41no—
831C4×Q8—41no—
832C4×Q8C2×D411yescharacteristic
833C4×Q8C2×D411yescharacteristic
834C4×Q8C2411yescharacteristic
835C4×Q8C2411yescharacteristic
836C4×D4—21no—
837C4×D4—21no—
838C4×D4—21no—
839C4×D4—21no—
840C4×D4—21no—
841C4×D4—21no—
842C4×D4—21no—
843C4×D4—21no—
844C4×D4—21no—
845C4×D4—21no—
846C4×D4—21no—
847C4×D4—21no—
848C4×D4—21no—
849C4×D4—21no—
850C4×D4—41no—
851C4×D4—41no—
852C4×D4—41no—
853C4×D4—41no—
854C4×D4—41no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4—41no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4C2×D411yescharacteristic
862C4×D4C2×D411yescharacteristic
863C4×D4C2×D411yescharacteristic
864C4×D4C2×D411yescharacteristic
865C4×D4C2411yescharacteristic
866C4×D4C2411yescharacteristic
867C4×D4C2411yescharacteristic
868C4×D4C2411yescharacteristic
869C4×D4C2411yescharacteristic
870C4×D4C2411yescharacteristic
871#117—21no—
872#117—21no—
873#117—21no—
874#117—21no—
875#117—21no—
876#117—21no—
877#117—21no—
878#117—21no—
879#117—21no—
880#117—41no—
881#117—41no—
882#117C2×D411yescharacteristic
883#117C2×D411yescharacteristic
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—41no—
893C2×C4⋊C4—41no—
894C2×C4⋊C4C2×D411yescharacteristic
895C2×C22⋊C4—21no—
896C2×C22⋊C4—41no—
897C2×C42—21no—
898C2×C42—21no—
899C2×C42—41no—
900C2×C42C2411yescharacteristic
901#107—21no—
902#107—21no—
903#107—21no—
904#107—21no—
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107—21no—
913#107—21no—
914#107—21no—
915#107—21no—
916#107—21no—
917#107—41no—
918#107C2×D411yescharacteristic
919#107C2×D411yescharacteristic
920#107C2×D411yescharacteristic
921#107C2×D411yescharacteristic
922#106—21no—
923#106—21no—
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—41no—
929#106—41no—
930#106—41no—
931#106C2×D411yescharacteristic
932#106C2×D411yescharacteristic
933#106C2×D411yescharacteristic
934#106C2×D411yescharacteristic
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8C2×D411yescharacteristic
943C4⋊C8C2×D411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—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—21no—
978#103—21no—
979#103—21no—
980#103—21no—
981#103—21no—
982#103—21no—
983#103—21no—
984#103—21no—
985#103—21no—
986#103—41no—
987#103—41no—
988#103C2×D411yescharacteristic
989#103C2×D411yescharacteristic
990#103C2×D411yescharacteristic
991#103C2×D411yescharacteristic
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—41no—
1011#102—41no—
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
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
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8C2×D411yescharacteristic
1040C22⋊C8C2×D411yescharacteristic
1041#97—21no—
1042#97—21no—
1043#97—21no—
1044#97—21no—
1045#97C2×D411yescharacteristic
1046#97C2×D411yescharacteristic
1047C4×C8—21no—
1048C4×C8—21no—
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C24—21no—
1056C24—41no—
1057#41—22no—
1058#41—22no—
1059#41—41no—
1060#41—41no—
1061#41—42no—
1062#41—42no—
1063#41—42no—
1064#41—42no—
1065#41—42no—
1066#41—42no—
1067#41—42no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075#41—84no—
1076#41—84no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—81no—
1081#41—84no—
1082#41—84no—
1083#41—84no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—41no—
1093C2×Q8—41no—
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×Q8—42no—
1097C2×Q8—42no—
1098C2×Q8—41no—
1099C2×Q8—42no—
1100C2×Q8—42no—
1101C2×Q8—42no—
1102C2×Q8—42no—
1103C2×Q8—81no—
1104C2×Q8—81no—
1105C2×Q8—81no—
1106C2×Q8—81no—
1107C2×Q8—84no—
1108C2×Q8C22×D411yescharacteristic
1109C2×Q8C22×D411yescharacteristic
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—21no—
1119C2×D4—21no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—84no—
1140C2×D4C22×D411yescharacteristic
1141C2×D4C22×D411yescharacteristic
1142C2×D4C22×D411yescharacteristic
1143C2×D4C22×D411yescharacteristic
1144C2×D4C22×D411yescharacteristic
1145C2×D4C22×D411yescharacteristic
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—81no—
1173C22×C4—81no—
1174C22×C4—84no—
1175C22×C4C22×D411yescharacteristic
1176C22×C4C22×D411yescharacteristic
1177C22×C4H(5,𝔽2)11yescharacteristic
1178Q16—42no—
1179Q16—81no—
1180Q16—81no—
1181SD16—22no—
1182SD16—22no—
1183SD16—41no—
1184SD16—41no—
1185SD16—42no—
1186SD16—42no—
1187SD16—42no—
1188SD16—42no—
1189SD16—81no—
1190SD16—81no—
1191SD16—81no—
1192SD16—81no—
1193SD16—81no—
1194SD16—81no—
1195SD16—81no—
1196SD16—81no—
1197SD16—81no—
1198SD16—81no—
1199SD16—81no—
1200SD16—81no—
1201D8—22no—
1202D8—22no—
1203D8—41no—
1204D8—41no—
1205D8—81no—
1206D8—81no—
1207D8—81no—
1208M16—41no—
1209M16—41no—
1210M16—81no—
1211M16—81no—
1212M16—81no—
1213M16—81no—
1214M16—81no—
1215M16—81no—
1216M16—81no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—42no—
1228C2×C8—42no—
1229C2×C8—81no—
1230C2×C8—81no—
1231C2×C8—81no—
1232C2×C8—81no—
1233C2×C8—81no—
1234C2×C8C22×D411yescharacteristic
1235C2×C8C22×D411yescharacteristic
1236C2×C8C22×D411yescharacteristic
1237C2×C8C22×D411yescharacteristic
1238C2×C8C22×D411yescharacteristic
1239C2×C8C22×D411yescharacteristic
1240C2×C8C22×D411yescharacteristic
1241C2×C8C22×D411yescharacteristic
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4C22×D411yescharacteristic
1283C4⋊C4C22×D411yescharacteristic
1284C4⋊C4C22×D411yescharacteristic
1285C4⋊C4C22×D411yescharacteristic
1286C4⋊C4C22×D411yescharacteristic
1287C4⋊C4C22×D411yescharacteristic
1288C4⋊C4C22×D411yescharacteristic
1289C4⋊C4C22×D411yescharacteristic
1290C22⋊C4—21no—
1291C22⋊C4—21no—
1292C22⋊C4—21no—
1293C22⋊C4—21no—
1294C22⋊C4—21no—
1295C22⋊C4—21no—
1296C22⋊C4—21no—
1297C22⋊C4—21no—
1298C22⋊C4—21no—
1299C22⋊C4—21no—
1300C22⋊C4—21no—
1301C22⋊C4—21no—
1302C22⋊C4—21no—
1303C22⋊C4—21no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C42—21no—
1327C42—21no—
1328C42—21no—
1329C42—21no—
1330C42—21no—
1331C42—21no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42C22×D411yescharacteristic
1339C42C22×D411yescharacteristic
1340C42H(5,𝔽2)11yescharacteristic
1341C42C2511yescharacteristic
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—41no—
1349C23—81no—
1350C23—81no—
1351C23—81no—
1352C23—82no—
1353C23—82no—
1354C23—161no—
1355C23D4211yescharacteristic
1356Q8—21no—
1357Q8—21no—
1358Q8—21no—
1359Q8—42no—
1360Q8—41no—
1361Q8—41no—
1362Q8—41no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—82no—
1373Q8—82no—
1374Q8—82no—
1375Q8—81no—
1376Q8—82no—
1377Q8—82no—
1378Q8#57512yes—
1379D4—21no—
1380D4—21no—
1381D4—21no—
1382D4—21no—
1383D4—21no—
1384D4—21no—
1385D4—21no—
1386D4—21no—
1387D4—21no—
1388D4—21no—
1389D4—21no—
1390D4—42no—
1391D4—42no—
1392D4—42no—
1393D4—42no—
1394D4—42no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—81no—
1400D4—81no—
1401D4—81no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—161no—
1411D4—161no—
1412D4—161no—
1413D4—161no—
1414D4—161no—
1415D4#57712yes—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—41no—
1431C2×C4—42no—
1432C2×C4—42no—
1433C2×C4—42no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—81no—
1454C2×C4—81no—
1455C2×C4—81no—
1456C2×C4—82no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—82no—
1460C2×C4—81no—
1461C2×C4—82no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—161no—
1469C2×C4—161no—
1470C2×C4D4211yescharacteristic
1471C2×C4D4211yescharacteristic
1472C2×C4D4211yescharacteristic
1473C2×C4C23×D411yescharacteristic
1474C2×C4C23×D411yescharacteristic
1475C2×C4C2×H(5,𝔽2)11yescharacteristic
1476C8—21no—
1477C8—21no—
1478C8—21no—
1479C8—21no—
1480C8—21no—
1481C8—21no—
1482C8—21no—
1483C8—21no—
1484C8—41no—
1485C8—41no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C22—21no—
1495C22—21no—
1496C22—22no—
1497C22—21no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—162no—
1519C22—164no—
1520C22C2×D4211yescharacteristic
1521C4—21no—
1522C4—22no—
1523C4—21no—
1524C4—21no—
1525C4—21no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—81no—
1536C4—81no—
1537C4—81no—
1538C4—81no—
1539C4—81no—
1540C4—81no—
1541C4—81no—
1542C4C2×#57511yescharacteristic
1543C4C2×#57711yescharacteristic
1544C4#358511yescharacteristic
1545C4#358511yescharacteristic
1546C2—41no—
1547C2—42no—
1548C2—81no—
1549C2—81no—
1550C2—81no—
1551C2—81no—
1552C2—81no—
1553C2—161no—
1554C2#6106611yescharacteristic
1555C2#6107111yescharacteristic
1556C2#6110811yescharacteristic
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. #62148C2semidirect
2. #61599C2semidirect
3. #61452C2semidirect
4. #61209C2semidirect
5. #20291C2semidirect
6. #20254C2semidirect
7. #20241C2semidirect
8. #20182C2semidirect
9. #20162C2semidirect
10. #20137C2semidirect
11. #20060C2semidirect
12. #20056C2semidirect
13. #20045C2semidirect
14. #19979C2semidirect
15. #19918C2semidirect
16. #19899C2semidirect
17. #19803C2semidirect
18. #19795C2semidirect
19. #19780C2semidirect
20. #19776C2semidirect
21. #19723C2semidirect
22. #19493C2semidirect
23. #19464C2semidirect
24. #19368C2semidirect
25. #19317C2semidirect
26. #18865C2semidirect
27. #18826C2semidirect
28. #18799C2semidirect
29. #18765C2semidirect
30. #18052C2semidirect
31. #18007C2semidirect
33. #3499C22semidirect
38. Q8×D8C22semidirect
39. Q8×D8C22semidirect
42. #3359C22semidirect
43. #3359C22semidirect
46. #3353C22semidirect
47. #3353C22semidirect
53. #3330C22semidirect
54. #3330C22semidirect
55. #3330C22semidirect
58. #3329C22semidirect
71. #3303C22semidirect
74. #3298C22semidirect
85. #3254C22semidirect
86. #3231C22semidirect
88. #3230C22semidirect
96. #3139C22semidirect
107. #3076C22semidirect
113. #2991C22semidirect
118. #2935C22semidirect
120. #1723C22semidirect
121. #1719C22semidirect
122. #1719C22semidirect
123. #1718C22semidirect
124. #1718C22semidirect
125. #1714C22semidirect
126. #1711C22semidirect
127. #1707C22semidirect
128. #1704C22semidirect
129. #1704C22semidirect
130. #1703C22semidirect
131. #1701C22semidirect
132. #1700C22semidirect
133. #1700C22semidirect
136. #1699C22semidirect
137. #1697C22semidirect
140. #1693C22semidirect
141. #1689C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1684C22semidirect
145. #1683C22semidirect
146. #1683C22semidirect
147. #1681C22semidirect
148. #1679C22semidirect
149. #1679C22semidirect
150. #1679C22semidirect
151. #1679C22semidirect
152. #1679C22semidirect
153. #1678C22semidirect
154. #1673C22semidirect
155. #1673C22semidirect
156. #1673C22semidirect
157. #1670C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
163. #1654C22semidirect
164. #1654C22semidirect
165. #1654C22semidirect
166. #1652C22semidirect
169. #1651C22semidirect
170. #1651C22semidirect
171. #1651C22semidirect
172. #1648C22semidirect
174. #1647C22semidirect
175. #1647C22semidirect
178. #1646C22semidirect
179. #1646C22semidirect
184. #1638C22semidirect
185. #1637C22semidirect
186. #1636C22semidirect
187. #1635C22semidirect
188. #1627C22semidirect
189. #1627C22semidirect
190. #1625C22semidirect
191. #1625C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
197. #1586C22semidirect
198. #1586C22semidirect
199. #1585C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1569C22semidirect
210. #1559C22semidirect
211. #1556C22semidirect
212. #1552C22semidirect
214. #1496C22semidirect
215. #1488C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621482
#615992
#614522
#612092
#202912
#202542
#202412
#201822
#201622
#201372
#200602
#200562
#200452
#199792
#199182
#198992
#198032
#197952
#197802
#197762
#197232
#194932
#194642
#193682
#193172
#188652
#188262
#187992
#187652
#180522
#180072