Finite Group Databasebeta

← #6365560

Subgroups — #6365560

Order 512.

1599 conjugacy classes of subgroups.

The subgroup lattice has 1545 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62190C211yesmaximal, characteristic, complemented
2#61962C211yesmaximal, characteristic, complemented
3#61812C211yesmaximal, characteristic, complemented
4#61589C211yesmaximal, characteristic, complemented
5#20317C211yesmaximal, characteristic, complemented
6#20314C211yesmaximal, characteristic, complemented
7#20306C211yesmaximal, characteristic, complemented
8#20304C211yesmaximal, characteristic, complemented
9#20255C211yesmaximal, characteristic, complemented
10#20248C211yesmaximal, characteristic, complemented
11#20242C211yesmaximal, characteristic, complemented
12#20227C211yesmaximal, characteristic, complemented
13#20194C211yesmaximal, characteristic, complemented
14#20179C211yesmaximal, characteristic, complemented
15#20169C211yesmaximal, characteristic, complemented
16#20163C211yesmaximal, characteristic, complemented
17#20132C211yesmaximal, characteristic, complemented
18#20081C211yesmaximal, characteristic, complemented
19#20031C211yesmaximal, characteristic, complemented
20#20029C211yesmaximal, characteristic, complemented
21#19714C211yesmaximal, characteristic, complemented
22#19536C211yesmaximal, characteristic, complemented
23#19511C211yesmaximal, characteristic, complemented
24#19454C211yesmaximal, characteristic, complemented
25#19426C211yesmaximal, characteristic, complemented
26#18740C211yesmaximal, characteristic, complemented
27#18593C211yesmaximal, characteristic, complemented
28#18586C211yesmaximal, characteristic, complemented
29#18555C211yesmaximal, characteristic, complemented
30#17954C211yesmaximal, characteristic, complemented
31#17950C211yesmaximal, characteristic, complemented
32#3547C2211yescharacteristic, complemented
33#3520C2211yescharacteristic
34#3511C2211yescharacteristic
35D4×#41C2211yescharacteristic
36#3397C2211yescharacteristic
37#3397C2211yescharacteristic
38#3384C2211yescharacteristic, complemented
39Q8×D8C2211yescharacteristic, complemented
40#3367C2211yescharacteristic
41#3367C2211yescharacteristic
42#3367C2211yescharacteristic
43#3360C2211yescharacteristic
44#3357—21no—
45#3356C2211yescharacteristic, complemented
46#3354C2211yescharacteristic
47#3354C2211yescharacteristic, complemented
48#3348—21no—
49#3346—21no—
50#3344—21no—
51#3340C2211yescharacteristic, complemented
52#3335C2211yescharacteristic, complemented
53#3334C2211yescharacteristic
54#3332C2211yescharacteristic
55#3330C2211yescharacteristic
56#3330C2211yescharacteristic
57#3330C2211yescharacteristic
58#3330C2211yescharacteristic, complemented
59#3330C2211yescharacteristic, complemented
60#3328C2211yescharacteristic
61#3328C2211yescharacteristic, complemented
62#3327—21no—
63#3324C2211yescharacteristic
64#3323—21no—
65#3322—21no—
66#3321—21no—
67#3319—21no—
68#3316—21no—
69#3308—21no—
70#3308—21no—
71#3303C2211yescharacteristic, complemented
72#3302C2211yescharacteristic, complemented
73#3298C2211yescharacteristic, complemented
74#3278C2211yescharacteristic
75#3277—21no—
76#3276C2211yescharacteristic
77#3276C2211yescharacteristic
78#3275—21no—
79#3272C2211yescharacteristic
80#3272C2211yescharacteristic
81#3272C2211yescharacteristic
82#3265—21no—
83#3265—21no—
84#3257—21no—
85#3254—21no—
86#3254C2211yescharacteristic, complemented
87#3245C2211yescharacteristic
88#3243—21no—
89#3239C2211yescharacteristic, complemented
90#3231C2211yescharacteristic, complemented
91#3229C2211yescharacteristic, complemented
92#3214—21no—
93#3212C2211yescharacteristic
94#3210C2211yescharacteristic
95#3206C2211yescharacteristic
96#3204—21no—
97#3201—21no—
98#3197—21no—
99#3196—21no—
100#3182C2211yescharacteristic
101#3165C2211yescharacteristic, complemented
102#3119—21no—
103#3116C2211yescharacteristic
104#3110—21no—
105#3107C2211yescharacteristic
106#3102C2211yescharacteristic
107#3100C2211yescharacteristic
108#3099—21no—
109#3097—21no—
110#3083—21no—
111#3077C2211yescharacteristic
112#3036—21no—
113C2×#461C2211yescharacteristic
114#3007—21no—
115#3005—21no—
116#2993C2211yescharacteristic, complemented
117#2989C2211yescharacteristic
118#2981C2211yescharacteristic, complemented
119#2975C2211yescharacteristic
120#1723C2211yescharacteristic, complemented
121#1719C2211yescharacteristic, complemented
122#1718C2211yescharacteristic, complemented
123#1716C2211yescharacteristic, complemented
124#1714C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1710C2211yescharacteristic, complemented
127#1705C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1700C2211yescharacteristic, complemented
131#1700C2211yescharacteristic, complemented
132#1699C2211yescharacteristic
133#1699C2211yescharacteristic
134#1699C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1699C2211yescharacteristic, complemented
138#1699C2211yescharacteristic, complemented
139#1699C2211yescharacteristic, complemented
140#1694C2211yescharacteristic, complemented
141#1693C2211yescharacteristic, complemented
142#1692C2211yescharacteristic, complemented
143#1691C2211yescharacteristic
144#1691C2211yescharacteristic
145#1691C2211yescharacteristic, complemented
146#1691C2211yescharacteristic, complemented
147#1691C2211yescharacteristic, complemented
148#1686C2211yescharacteristic, complemented
149#1685C2211yescharacteristic, complemented
150#1685C2211yescharacteristic, complemented
151#1685C2211yescharacteristic, complemented
152#1681C2211yescharacteristic, complemented
153#1681C2211yescharacteristic, complemented
154#1680C2211yescharacteristic, complemented
155#1679C2211yescharacteristic, complemented
156#1669C2211yescharacteristic, complemented
157#1669C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic
162#1654C2211yescharacteristic, complemented
163#1654C2211yescharacteristic, complemented
164#1652C2211yescharacteristic, complemented
165#1652C2211yescharacteristic, complemented
166#1651C2211yescharacteristic, complemented
167#1651C2211yescharacteristic, complemented
168#1650C2211yescharacteristic
169#1650C2211yescharacteristic
170#1650C2211yescharacteristic, complemented
171#1650C2211yescharacteristic, complemented
172#1649C2211yescharacteristic
173#1649C2211yescharacteristic, complemented
174#1647C2211yescharacteristic
175#1647C2211yescharacteristic, complemented
176#1647C2211yescharacteristic, complemented
177#1647C2211yescharacteristic, complemented
178#1647C2211yescharacteristic, complemented
179#1647C2211yescharacteristic, complemented
180#1646C2211yescharacteristic, complemented
181#1644C2211yescharacteristic, complemented
182#1641C2211yescharacteristic
183#1639C2211yescharacteristic
184#1637C2211yescharacteristic
185#1635C2211yescharacteristic
186#1631C2211yescharacteristic
187#1629C2211yescharacteristic
188#1627C2211yescharacteristic, complemented
189#1625C2211yescharacteristic, complemented
190#1624C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1594C2211yescharacteristic
193#1594C2211yescharacteristic, complemented
194#1592C2211yescharacteristic, complemented
195#1592C2211yescharacteristic, complemented
196#1591C2211yescharacteristic, complemented
197#1589C2211yescharacteristic
198#1589C2211yescharacteristic, complemented
199#1589C2211yescharacteristic, complemented
200#1588C2211yescharacteristic, complemented
201#1586C2211yescharacteristic
202#1586C2211yescharacteristic, complemented
203#1585C2211yescharacteristic, complemented
204#1584C2211yescharacteristic, complemented
205#1581C2211yescharacteristic
206#1581C2211yescharacteristic, complemented
207#1581C2211yescharacteristic, complemented
208#1572C2211yescharacteristic, complemented
209#1571C2211yescharacteristic, complemented
210#1557C2211yescharacteristic
211#1552C2211yescharacteristic, complemented
212#1546C2211yescharacteristic, complemented
213#1542C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1489C2211yescharacteristic
216#1484C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—21no—
221C2×#137—21no—
222C2×#137—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×AGL(1,ℤ/8)—21no—
226C22×SD16—21no—
227#562—41no—
228#556C2311yescharacteristic
229#556C2311yescharacteristic
230#556C2311yescharacteristic
231#555—21no—
232#555—21no—
233#555C2311yescharacteristic
234#554—21no—
235#554—21no—
236#554C2311yescharacteristic
237#553—21no—
238#553—41no—
239#552—21no—
240#552—21no—
241#551—41no—
242#550C2311yescharacteristic
243D4×Q8C2311yescharacteristic
244D4×Q8C2311yescharacteristic
245D4×Q8C2311yescharacteristic
246#548—21no—
247#548—21no—
248#548—21no—
249#548—21no—
250#548—21no—
251#547—21no—
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#546—21no—
259#546—21no—
260#546—41no—
261D42—21no—
262D42C2311yescharacteristic
263#544—21no—
264#542—21no—
265#542—41no—
266#542—41no—
267#540—21no—
268#539—41no—
269#537—21no—
270#537—21no—
271#536—21no—
272#533—21no—
273#533C2311yescharacteristic
274#533C2311yescharacteristic
275#532—21no—
276#532—21no—
277#532C2311yescharacteristic
278#532C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280#529C2311yescharacteristic
281#525—21no—
282#525—21no—
283#525—41no—
284C2×C22⋊Q8—21no—
285#520—21no—
286#520—21no—
287C4×#41C2311yescharacteristic
288C2×C4×D4—21no—
289C2×C4×D4C2311yescharacteristic
290#501—21no—
291#501—21no—
292#501—41no—
293#500—21no—
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#500C2311yescharacteristic
298#498C2311yescharacteristic
299#498C2311yescharacteristic
300#498C2311yescharacteristic
301#498C2311yescharacteristic
302#498C2311yescharacteristic
303#496—21no—
304#496—21no—
305#495—21no—
306#494C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#492C2311yescharacteristic
310#492C2311yescharacteristic
311#489—21no—
312#489—21no—
313#489—21no—
314#489—21no—
315#488—21no—
316#488—21no—
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#487C2311yescharacteristic
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—21no—
335#485—21no—
336#485—21no—
337#485D411yescharacteristic
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#483—21no—
348#483—21no—
349#482—21no—
350#482—21no—
351#482—21no—
352#482—21no—
353#482D411yescharacteristic
354#481—21no—
355#481—21no—
356#481—21no—
357#481—21no—
358#481—21no—
359#480—21no—
360#480—21no—
361#480D411yescharacteristic
362#480D411yescharacteristic
363#479—21no—
364#479—21no—
365#479—21no—
366#479D411yescharacteristic
367#478—21no—
368#478—21no—
369#478—21no—
370#478D411yescharacteristic
371#477—21no—
372#477—21no—
373#477—21no—
374#477—21no—
375#477C2311yescharacteristic
376#476—21no—
377#476C2311yescharacteristic
378#476C2311yescharacteristic
379#476C2311yescharacteristic
380#475—21no—
381#475—21no—
382#475C2311yescharacteristic
383#475C2311yescharacteristic
384#475C2311yescharacteristic
385#474—21no—
386#474—21no—
387#474—21no—
388#474D411yescharacteristic
389#474D411yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#474C2311yescharacteristic
393#474C2311yescharacteristic
394#474C2311yescharacteristic
395#474C2311yescharacteristic
396#474C2311yescharacteristic
397#474C2311yescharacteristic
398#474C2311yescharacteristic
399#470—21no—
400#470—21no—
401#470—21no—
402#470—21no—
403#470—21no—
404#469—21no—
405#469—21no—
406#469—21no—
407#468—21no—
408#468—21no—
409#468—21no—
410#468—21no—
411#468—21no—
412#468—21no—
413#468—21no—
414#468—21no—
415#468—21no—
416#468—21no—
417#468—21no—
418#468—21no—
419#468—41no—
420#467—21no—
421#466—21no—
422#466—21no—
423#466—21no—
424#465—21no—
425#465—21no—
426#465—21no—
427#465—21no—
428#464—21no—
429#464—21no—
430#464D411yescharacteristic
431#463—21no—
432#463—21no—
433#463—21no—
434#463—21no—
435#463—21no—
436#463—21no—
437#463D411yescharacteristic
438#462C2311yescharacteristic
439#462C2311yescharacteristic
440#462C2311yescharacteristic
441#461—21no—
442#461—21no—
443#461—21no—
444#461—21no—
445#461C2311yescharacteristic
446#461C2311yescharacteristic
447#461C2311yescharacteristic
448#461C2311yescharacteristic
449#461C2311yescharacteristic
450#461C2311yescharacteristic
451#461C2311yescharacteristic
452#461C2311yescharacteristic
453#461C2311yescharacteristic
454#460—21no—
455#460—21no—
456#460—21no—
457#460C2311yescharacteristic
458#459—21no—
459#459D411yescharacteristic
460#459D411yescharacteristic
461#459C2311yescharacteristic
462#459C2311yescharacteristic
463#459C2311yescharacteristic
464#452—21no—
465#452—21no—
466#452—21no—
467#452—21no—
468#452—21no—
469#452—21no—
470#452—21no—
471#452—21no—
472#452—21no—
473#452D411yescharacteristic
474#451—21no—
475#451—21no—
476#451—21no—
477#451—21no—
478#450—21no—
479#450—21no—
480#450—21no—
481#450—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#449—21no—
493#449D411yescharacteristic
494#448—21no—
495#448—21no—
496#448—21no—
497#448—21no—
498#447D411yescharacteristic
499#447D411yescharacteristic
500#446C2311yescharacteristic
501#446C2311yescharacteristic
502#446C2311yescharacteristic
503C8×Q8C2311yescharacteristic
504#442—21no—
505#441—21no—
506#440—21no—
507#440—21no—
508#440—21no—
509#440—21no—
510#440—21no—
511#440—21no—
512#440—41no—
513C4×Q16—21no—
514C4×Q16C2311yescharacteristic
515C4×SD16—21no—
516C4×SD16—21no—
517C4×SD16C2311yescharacteristic
518C4×SD16C2311yescharacteristic
519C4×D8—21no—
520C4×D8C2311yescharacteristic
521C4×D8C2311yescharacteristic
522C4×D8C2311yescharacteristic
523C4×D8C2311yescharacteristic
524C4×D8C2311yescharacteristic
525#436—21no—
526#436—21no—
527#436—21no—
528#436C2311yescharacteristic
529#436C2311yescharacteristic
530#436C2311yescharacteristic
531#436C2311yescharacteristic
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#436C2311yescharacteristic
535#436C2311yescharacteristic
536#436C2311yescharacteristic
537#435—21no—
538#435—21no—
539#435—21no—
540#435—21no—
541#435—21no—
542C8×D4C2311yescharacteristic
543C8×D4C2311yescharacteristic
544C8×D4C2311yescharacteristic
545#433—21no—
546#432—21no—
547#432C2311yescharacteristic
548#431C2311yescharacteristic
549#431C2311yescharacteristic
550#431C2311yescharacteristic
551#428—21no—
552#428—21no—
553#428—21no—
554#428—21no—
555#428—41no—
556#427—21no—
557C2×#107—21no—
558C2×#106—21no—
559#424—21no—
560#423—21no—
561#423C2311yescharacteristic
562C2×C4⋊C8C2311yescharacteristic
563#419—21no—
564#419—21no—
565#418—21no—
566#418—21no—
567#417—21no—
568#417—21no—
569#417—21no—
570#417—21no—
571#417—21no—
572#417—21no—
573#416—21no—
574#416—21no—
575C2×#103—21no—
576C2×#103—21no—
577#408—21no—
578#408—21no—
579#407—21no—
580#407—21no—
581C4×M16C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#335C2311yescharacteristic
587#335C2311yescharacteristic
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
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—41no—
636C2×#41—41no—
637C2×#41—82no—
638C2×#41—82no—
639C2×#41C2×D411yescharacteristic
640C22×Q8—21no—
641C22×Q8—21no—
642C22×Q8—21no—
643C22×Q8—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—41no—
647C22×D4C2×D411yescharacteristic
648C23×C4—21no—
649C23×C4—41no—
650#137—82no—
651#137—82no—
652#137—82no—
653AGL(1,ℤ/8)—82no—
654AGL(1,ℤ/8)—82no—
655AGL(1,ℤ/8)—82no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16—21no—
661C2×Q16C2×D411yescharacteristic
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—41no—
679C2×SD16—82no—
680C2×SD16C2×D411yescharacteristic
681C2×SD16C2×D411yescharacteristic
682C2×D8—21no—
683C2×D8—21no—
684C2×D8—21no—
685C2×D8C2×D411yescharacteristic
686C2×D8C2×D411yescharacteristic
687C2×D8C2×D411yescharacteristic
688C2×D8C2×D411yescharacteristic
689C2×D8C2×D411yescharacteristic
690C2×M16—21no—
691C2×M16—21no—
692C2×M16—21no—
693C2×M16—21no—
694C2×M16—21no—
695C2×M16—21no—
696C2×M16—21no—
697C2×M16—21no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16—21no—
701C22×C8—21no—
702C22×C8—21no—
703C22×C8—21no—
704C22×C8—21no—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—21no—
709C4⋊Q8—21no—
710C4⋊Q8—21no—
711C4⋊Q8—41no—
712C4⋊Q8C2×D411yescharacteristic
713C4⋊Q8C2411yescharacteristic
714C4⋊Q8C2411yescharacteristic
715C4⋊Q8C2411yescharacteristic
716C4⋊Q8C2411yescharacteristic
717C4⋊Q8C2411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720#127—21no—
721#127C2×D411yescharacteristic
722#127C2411yescharacteristic
723#126—21no—
724#126—41no—
725#126—41no—
726#126—41no—
727#126—41no—
728#126—41no—
729#125—21no—
730#125—21no—
731#125—21no—
732#125—41no—
733#125—41no—
734#125—41no—
735#125C2×D411yescharacteristic
736#124—21no—
737#124—21no—
738#124—21no—
739#124—21no—
740#124—21no—
741#124—41no—
742#124—41no—
743#124—41no—
744#124—41no—
745#124—41no—
746#124—41no—
747#124—41no—
748#124C2×D411yescharacteristic
749#123—21no—
750#123—41no—
751#123—41no—
752#123—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—
763C22⋊Q8—21no—
764C22⋊Q8—21no—
765C22⋊Q8—21no—
766C22⋊Q8—21no—
767C22⋊Q8—21no—
768C22⋊Q8—21no—
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—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8C2×D411yescharacteristic
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#121—41no—
816#121—41no—
817#121—41no—
818#121—41no—
819#121—41no—
820#121C2×D411yescharacteristic
821#121C2×D411yescharacteristic
822#121C2×D411yescharacteristic
823#120—41no—
824#120—41no—
825#120—41no—
826#120—41no—
827C4×Q8—21no—
828C4×Q8—21no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8—21no—
834C4×Q8—41no—
835C4×Q8C2×D411yescharacteristic
836C4×Q8C2411yescharacteristic
837C4×Q8C2411yescharacteristic
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—21no—
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×D4—41no—
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#117—41no—
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—21no—
893C2×C4⋊C4—41no—
894C2×C4⋊C4C2×D411yescharacteristic
895C2×C22⋊C4—21no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C42—21no—
899C2×C42C2411yescharacteristic
900#107—21no—
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—41no—
913#107—41no—
914#107—41no—
915#107C2×D411yescharacteristic
916#107C2×D411yescharacteristic
917#107C2×D411yescharacteristic
918#107C2×D411yescharacteristic
919#107C2×D411yescharacteristic
920#107C2×D411yescharacteristic
921#106—21no—
922#106—21no—
923#106—21no—
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—21no—
931#106—21no—
932#106—21no—
933#106—41no—
934#106—41no—
935#106C2×D411yescharacteristic
936#106C2×D411yescharacteristic
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8—21no—
943C4⋊C8C2×D411yescharacteristic
944C4⋊C8C2×D411yescharacteristic
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—21no—
978#103—21no—
979#103—21no—
980#103—21no—
981#103—21no—
982#103—21no—
983#103—21no—
984#103—21no—
985#103—41no—
986#103C2×D411yescharacteristic
987#103C2×D411yescharacteristic
988#103C2×D411yescharacteristic
989#103C2×D411yescharacteristic
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—41no—
1009#102C2×D411yescharacteristic
1010#102C2×D411yescharacteristic
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8C2×D411yescharacteristic
1036C22⋊C8C2×D411yescharacteristic
1037C22⋊C8C2×D411yescharacteristic
1038C22⋊C8C2×D411yescharacteristic
1039#97—21no—
1040#97—21no—
1041#97—21no—
1042#97—21no—
1043#97—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C24—21no—
1053C24—41no—
1054#41—41no—
1055#41—41no—
1056#41—42no—
1057#41—42no—
1058#41—42no—
1059#41—81no—
1060#41—81no—
1061#41—81no—
1062#41—81no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—84no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075#41—84no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—41no—
1085C2×Q8—41no—
1086C2×Q8—41no—
1087C2×Q8—41no—
1088C2×Q8—42no—
1089C2×Q8—81no—
1090C2×Q8—81no—
1091C2×Q8—81no—
1092C2×Q8—81no—
1093C2×Q8—81no—
1094C2×Q8—81no—
1095C2×Q8—81no—
1096C2×Q8C22×D411yescharacteristic
1097C2×Q8C22×D411yescharacteristic
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—84no—
1127C2×D4C22×D411yescharacteristic
1128C2×D4C22×D411yescharacteristic
1129C2×D4C22×D411yescharacteristic
1130C2×D4C22×D411yescharacteristic
1131C2×D4C22×D411yescharacteristic
1132C2×D4C22×D411yescharacteristic
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—81no—
1158C22×C4—81no—
1159C22×C4—84no—
1160C22×C4C22×D411yescharacteristic
1161C22×C4C22×D411yescharacteristic
1162C22×C4H(5,𝔽2)11yescharacteristic
1163Q16—41no—
1164Q16—42no—
1165Q16—81no—
1166Q16—81no—
1167Q16—81no—
1168Q16—81no—
1169SD16—41no—
1170SD16—41no—
1171SD16—42no—
1172SD16—42no—
1173SD16—42no—
1174SD16—81no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178SD16—81no—
1179SD16—81no—
1180SD16—82no—
1181SD16—81no—
1182SD16—81no—
1183SD16—81no—
1184SD16—81no—
1185SD16—81no—
1186SD16—81no—
1187SD16—81no—
1188D8—41no—
1189D8—41no—
1190D8—41no—
1191D8—41no—
1192D8—41no—
1193D8—81no—
1194D8—81no—
1195D8—81no—
1196M16—42no—
1197M16—81no—
1198M16—81no—
1199M16—81no—
1200M16—81no—
1201M16—81no—
1202M16—81no—
1203M16—81no—
1204M16—81no—
1205M16—81no—
1206M16—81no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—81no—
1218C2×C8—81no—
1219C2×C8—81no—
1220C2×C8—81no—
1221C2×C8C22×D411yescharacteristic
1222C2×C8C22×D411yescharacteristic
1223C2×C8C22×D411yescharacteristic
1224C2×C8C22×D411yescharacteristic
1225C2×C8C22×D411yescharacteristic
1226C2×C8C22×D411yescharacteristic
1227C2×C8C22×D411yescharacteristic
1228C2×C8C22×D411yescharacteristic
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
1234C4⋊C4—21no—
1235C4⋊C4—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4C22×D411yescharacteristic
1272C4⋊C4C22×D411yescharacteristic
1273C4⋊C4C22×D411yescharacteristic
1274C4⋊C4C22×D411yescharacteristic
1275C4⋊C4C22×D411yescharacteristic
1276C4⋊C4C22×D411yescharacteristic
1277C4⋊C4C22×D411yescharacteristic
1278C4⋊C4C22×D411yescharacteristic
1279C22⋊C4—21no—
1280C22⋊C4—21no—
1281C22⋊C4—21no—
1282C22⋊C4—21no—
1283C22⋊C4—21no—
1284C22⋊C4—21no—
1285C22⋊C4—21no—
1286C22⋊C4—21no—
1287C22⋊C4—21no—
1288C22⋊C4—21no—
1289C22⋊C4—21no—
1290C22⋊C4—21no—
1291C22⋊C4—21no—
1292C22⋊C4—21no—
1293C22⋊C4—21no—
1294C22⋊C4—21no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C42—21no—
1320C42—21no—
1321C42—21no—
1322C42—21no—
1323C42—41no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42C22×D411yescharacteristic
1330C42C22×D411yescharacteristic
1331C42H(5,𝔽2)11yescharacteristic
1332C42C2511yescharacteristic
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—41no—
1340C23—81no—
1341C23—81no—
1342C23—81no—
1343C23—82no—
1344C23—82no—
1345C23—161no—
1346C23D4211yescharacteristic
1347Q8—21no—
1348Q8—21no—
1349Q8—21no—
1350Q8—21no—
1351Q8—41no—
1352Q8—41no—
1353Q8—41no—
1354Q8—41no—
1355Q8—41no—
1356Q8—41no—
1357Q8—41no—
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361Q8—41no—
1362Q8—41no—
1363Q8—81no—
1364Q8—81no—
1365Q8—82no—
1366Q8—161no—
1367Q8—161no—
1368Q8—161no—
1369D4—21no—
1370D4—21no—
1371D4—21no—
1372D4—21no—
1373D4—21no—
1374D4—21no—
1375D4—21no—
1376D4—21no—
1377D4—21no—
1378D4—21no—
1379D4—21no—
1380D4—21no—
1381D4—42no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—81no—
1387D4—81no—
1388D4—81no—
1389D4—81no—
1390D4—81no—
1391D4—81no—
1392D4—81no—
1393D4—82no—
1394D4—82no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—82no—
1399D4—161no—
1400D4—161no—
1401D4—161no—
1402D4—161no—
1403D4—161no—
1404D4—161no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—41no—
1420C2×C4—42no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—81no—
1441C2×C4—81no—
1442C2×C4—81no—
1443C2×C4—82no—
1444C2×C4—81no—
1445C2×C4—82no—
1446C2×C4—82no—
1447C2×C4—82no—
1448C2×C4—82no—
1449C2×C4—161no—
1450C2×C4—161no—
1451C2×C4—161no—
1452C2×C4—161no—
1453C2×C4—161no—
1454C2×C4—161no—
1455C2×C4—161no—
1456C2×C4—161no—
1457C2×C4D4211yescharacteristic
1458C2×C4D4211yescharacteristic
1459C2×C4D4211yescharacteristic
1460C2×C4C23×D411yescharacteristic
1461C2×C4C23×D411yescharacteristic
1462C2×C4C2×H(5,𝔽2)11yescharacteristic
1463C8—22no—
1464C8—21no—
1465C8—21no—
1466C8—21no—
1467C8—21no—
1468C8—21no—
1469C8—21no—
1470C8—21no—
1471C8—21no—
1472C8—41no—
1473C8—41no—
1474C8—41no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C22—21no—
1482C22—21no—
1483C22—21no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—162no—
1506C22—164no—
1507C22C2×D4211yescharacteristic
1508C4—21no—
1509C4—21no—
1510C4—21no—
1511C4—21no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—81no—
1523C4—81no—
1524C4—81no—
1525C4—81no—
1526C4—81no—
1527C4—81no—
1528C4—81no—
1529C4#358511yescharacteristic
1530C4#358511yescharacteristic
1531C4#358511yescharacteristic
1532C4#358611yescharacteristic
1533C2—41no—
1534C2—81no—
1535C2—81no—
1536C2—81no—
1537C2—81no—
1538C2—81no—
1539C2—81no—
1540C2—161no—
1541C2#6105811yescharacteristic
1542C2#6106211yescharacteristic
1543C2#6111111yescharacteristic
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. #62190C2semidirect
2. #61962C2semidirect
3. #61812C2semidirect
4. #61589C2semidirect
5. #20317C2semidirect
6. #20314C2semidirect
7. #20306C2semidirect
8. #20304C2semidirect
9. #20255C2semidirect
10. #20248C2semidirect
11. #20242C2semidirect
12. #20227C2semidirect
13. #20194C2semidirect
14. #20179C2semidirect
15. #20169C2semidirect
16. #20163C2semidirect
17. #20132C2semidirect
18. #20081C2semidirect
19. #20031C2semidirect
20. #20029C2semidirect
21. #19714C2semidirect
22. #19536C2semidirect
23. #19511C2semidirect
24. #19454C2semidirect
25. #19426C2semidirect
26. #18740C2semidirect
27. #18593C2semidirect
28. #18586C2semidirect
29. #18555C2semidirect
30. #17954C2semidirect
31. #17950C2semidirect
32. #3547C22semidirect
38. #3384C22semidirect
39. Q8×D8C22semidirect
45. #3356C22semidirect
47. #3354C22semidirect
51. #3340C22semidirect
52. #3335C22semidirect
58. #3330C22semidirect
59. #3330C22semidirect
61. #3328C22semidirect
71. #3303C22semidirect
72. #3302C22semidirect
73. #3298C22semidirect
86. #3254C22semidirect
89. #3239C22semidirect
90. #3231C22semidirect
91. #3229C22semidirect
101. #3165C22semidirect
116. #2993C22semidirect
118. #2981C22semidirect
120. #1723C22semidirect
121. #1719C22semidirect
122. #1718C22semidirect
123. #1716C22semidirect
124. #1714C22semidirect
125. #1714C22semidirect
126. #1710C22semidirect
127. #1705C22semidirect
128. #1704C22semidirect
129. #1703C22semidirect
130. #1700C22semidirect
131. #1700C22semidirect
134. #1699C22semidirect
135. #1699C22semidirect
136. #1699C22semidirect
137. #1699C22semidirect
138. #1699C22semidirect
139. #1699C22semidirect
140. #1694C22semidirect
141. #1693C22semidirect
142. #1692C22semidirect
145. #1691C22semidirect
146. #1691C22semidirect
147. #1691C22semidirect
148. #1686C22semidirect
149. #1685C22semidirect
150. #1685C22semidirect
151. #1685C22semidirect
152. #1681C22semidirect
153. #1681C22semidirect
154. #1680C22semidirect
155. #1679C22semidirect
156. #1669C22semidirect
157. #1669C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
162. #1654C22semidirect
163. #1654C22semidirect
164. #1652C22semidirect
165. #1652C22semidirect
166. #1651C22semidirect
167. #1651C22semidirect
170. #1650C22semidirect
171. #1650C22semidirect
173. #1649C22semidirect
175. #1647C22semidirect
176. #1647C22semidirect
177. #1647C22semidirect
178. #1647C22semidirect
179. #1647C22semidirect
180. #1646C22semidirect
181. #1644C22semidirect
188. #1627C22semidirect
189. #1625C22semidirect
190. #1624C22semidirect
191. #1622C22semidirect
193. #1594C22semidirect
194. #1592C22semidirect
195. #1592C22semidirect
196. #1591C22semidirect
198. #1589C22semidirect
199. #1589C22semidirect
200. #1588C22semidirect
202. #1586C22semidirect
203. #1585C22semidirect
204. #1584C22semidirect
206. #1581C22semidirect
207. #1581C22semidirect
208. #1572C22semidirect
209. #1571C22semidirect
211. #1552C22semidirect
212. #1546C22semidirect
213. #1542C22semidirect
216. #1484C22semidirect
217. #1483C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621902
#619622
#618122
#615892
#203172
#203142
#203062
#203042
#202552
#202482
#202422
#202272
#201942
#201792
#201692
#201632
#201322
#200812
#200312
#200292
#197142
#195362
#195112
#194542
#194262
#187402
#185932
#185862
#185552
#179542
#179502