Finite Group Databasebeta

← #6365539

Subgroups — #6365539

Order 512.

1592 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62109C211yesmaximal, characteristic, complemented
2#62042C211yesmaximal, characteristic, complemented
3#61923C211yesmaximal, characteristic, complemented
4#61589C211yesmaximal, characteristic, complemented
5#20312C211yesmaximal, characteristic, complemented
6#20303C211yesmaximal, characteristic, complemented
7#20297C211yesmaximal, characteristic, complemented
8#20291C211yesmaximal, characteristic, complemented
9#20268C211yesmaximal, characteristic, complemented
10#20267C211yesmaximal, characteristic, complemented
11#20254C211yesmaximal, characteristic, complemented
12#20234C211yesmaximal, characteristic, complemented
13#20200C211yesmaximal, characteristic, complemented
14#20198C211yesmaximal, characteristic, complemented
15#20194C211yesmaximal, characteristic, complemented
16#20186C211yesmaximal, characteristic, complemented
17#20152C211yesmaximal, characteristic, complemented
18#20089C211yesmaximal, characteristic, complemented
19#20076C211yesmaximal, characteristic, complemented
20#20045C211yesmaximal, characteristic, complemented
21#19726C211yesmaximal, characteristic, complemented
22#19546C211yesmaximal, characteristic, complemented
23#19527C211yesmaximal, characteristic, complemented
24#19449C211yesmaximal, characteristic, complemented
25#19421C211yesmaximal, characteristic, complemented
26#18742C211yesmaximal, characteristic, complemented
27#18592C211yesmaximal, characteristic, complemented
28#18587C211yesmaximal, characteristic, complemented
29#18554C211yesmaximal, characteristic, complemented
30#17954C211yesmaximal, characteristic, complemented
31#17952C211yesmaximal, characteristic, complemented
32#3554C2211yescharacteristic, complemented
33#3520C2211yescharacteristic
34#3509C2211yescharacteristic
35D4×#41C2211yescharacteristic
36#3401—21no—
37#3400—21no—
38#3400C2211yescharacteristic, complemented
39#3398C2211yescharacteristic
40#3397C2211yescharacteristic, complemented
41#3394C2211yescharacteristic
42#3394C2211yescharacteristic, complemented
43#3392C2211yescharacteristic, complemented
44#3386C2211yescharacteristic
45#3386C2211yescharacteristic
46#3376—21no—
47#3374C2211yescharacteristic, complemented
48#3373C2211yescharacteristic, complemented
49#3372—21no—
50#3368C2211yescharacteristic
51#3368C2211yescharacteristic
52#3367C2211yescharacteristic, complemented
53#3364C2211yescharacteristic, complemented
54#3359C2211yescharacteristic, complemented
55#3359C2211yescharacteristic, complemented
56#3353C2211yescharacteristic
57#3353C2211yescharacteristic
58#3343—21no—
59#3343—21no—
60#3332C2211yescharacteristic
61#3332C2211yescharacteristic
62#3331—21no—
63#3330C2211yescharacteristic
64#3328C2211yescharacteristic
65#3327—21no—
66#3324C2211yescharacteristic
67#3324C2211yescharacteristic
68#3324C2211yescharacteristic
69#3323—21no—
70#3316—21no—
71#3310—21no—
72#3310—21no—
73#3298C2211yescharacteristic
74#3284C2211yescharacteristic, complemented
75#3278C2211yescharacteristic
76#3277—21no—
77#3276C2211yescharacteristic
78#3276C2211yescharacteristic
79#3276C2211yescharacteristic, complemented
80#3275—21no—
81#3275—21no—
82#3272C2211yescharacteristic
83#3267—21no—
84#3263—21no—
85#3255C2211yescharacteristic, complemented
86#3254—21no—
87#3246C2211yescharacteristic
88#3235—21no—
89#3226C2211yescharacteristic
90#3225—21no—
91#3225—21no—
92#3221—21no—
93#3218C2211yescharacteristic, complemented
94#3212C2211yescharacteristic
95#3210C2211yescharacteristic
96#3210C2211yescharacteristic, complemented
97#3206C2211yescharacteristic, complemented
98#3197—21no—
99#3196—21no—
100#3184C2211yescharacteristic
101#3165C2211yescharacteristic, complemented
102#3126—21no—
103#3125—21no—
104#3121—21no—
105#3115C2211yescharacteristic
106#3110—21no—
107#3107C2211yescharacteristic
108#3102C2211yescharacteristic
109#3101C2211yescharacteristic
110#3077—21no—
111C2×#474C2211yescharacteristic
112#3046—21no—
113#3036C2211yescharacteristic
114#3007—21no—
115#3005—21no—
116#2993C2211yescharacteristic, complemented
117#2989C2211yescharacteristic
118#2985C2211yescharacteristic, complemented
119#2975C2211yescharacteristic
120#1723C2211yescharacteristic, complemented
121#1722C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1719C2211yescharacteristic, complemented
124#1715C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1707C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1701C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1700C2211yescharacteristic, complemented
133#1700C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1699C2211yescharacteristic
136#1699C2211yescharacteristic
137#1699C2211yescharacteristic, complemented
138#1699C2211yescharacteristic, complemented
139#1699C2211yescharacteristic, complemented
140#1694C2211yescharacteristic, complemented
141#1693C2211yescharacteristic, complemented
142#1690C2211yescharacteristic, complemented
143#1689C2211yescharacteristic, complemented
144#1686C2211yescharacteristic, complemented
145#1686C2211yescharacteristic, complemented
146#1686C2211yescharacteristic, complemented
147#1685C2211yescharacteristic
148#1685C2211yescharacteristic
149#1685C2211yescharacteristic, complemented
150#1685C2211yescharacteristic, complemented
151#1685C2211yescharacteristic, complemented
152#1682C2211yescharacteristic, complemented
153#1682C2211yescharacteristic, complemented
154#1682C2211yescharacteristic, complemented
155#1681C2211yescharacteristic, complemented
156#1674C2211yescharacteristic, complemented
157#1673C2211yescharacteristic, complemented
158#1670C2211yescharacteristic, complemented
159#1670C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic, complemented
162#1654C2211yescharacteristic, complemented
163#1653C2211yescharacteristic, complemented
164#1653C2211yescharacteristic, complemented
165#1653C2211yescharacteristic, complemented
166#1652C2211yescharacteristic
167#1652C2211yescharacteristic
168#1652C2211yescharacteristic, complemented
169#1652C2211yescharacteristic, complemented
170#1651C2211yescharacteristic
171#1651C2211yescharacteristic, complemented
172#1650C2211yescharacteristic, complemented
173#1650C2211yescharacteristic, complemented
174#1649C2211yescharacteristic, complemented
175#1649C2211yescharacteristic, complemented
176#1648C2211yescharacteristic, complemented
177#1648C2211yescharacteristic, complemented
178#1647C2211yescharacteristic
179#1647C2211yescharacteristic
180#1642C2211yescharacteristic
181#1642C2211yescharacteristic, complemented
182#1640C2211yescharacteristic, complemented
183#1639C2211yescharacteristic
184#1627C2211yescharacteristic
185#1627C2211yescharacteristic, complemented
186#1626C2211yescharacteristic, complemented
187#1625C2211yescharacteristic
188#1621C2211yescharacteristic
189#1621C2211yescharacteristic, complemented
190#1620C2211yescharacteristic, complemented
191#1619C2211yescharacteristic
192#1592C2211yescharacteristic
193#1592C2211yescharacteristic, complemented
194#1592C2211yescharacteristic, complemented
195#1592C2211yescharacteristic, complemented
196#1591C2211yescharacteristic, complemented
197#1590C2211yescharacteristic
198#1590C2211yescharacteristic, complemented
199#1589C2211yescharacteristic, complemented
200#1588C2211yescharacteristic
201#1588C2211yescharacteristic, complemented
202#1588C2211yescharacteristic, complemented
203#1585C2211yescharacteristic, complemented
204#1584C2211yescharacteristic, complemented
205#1583C2211yescharacteristic
206#1583C2211yescharacteristic, complemented
207#1581C2211yescharacteristic, complemented
208#1572C2211yescharacteristic, complemented
209#1571C2211yescharacteristic, complemented
210#1557C2211yescharacteristic
211#1552C2211yescharacteristic, complemented
212#1549C2211yescharacteristic, complemented
213#1540C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1489C2211yescharacteristic
216#1485C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—21no—
221C2×#137—21no—
222C2×#137—21no—
223C2×#137—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×AGL(1,ℤ/8)—21no—
226C2×#135—21no—
227#562—41no—
228#559—21no—
229#559C2311yescharacteristic
230#557—21no—
231#557C2311yescharacteristic
232#557C2311yescharacteristic
233#557C2311yescharacteristic
234#556—21no—
235#556C2311yescharacteristic
236#556C2311yescharacteristic
237#556C2311yescharacteristic
238#554—21no—
239#554—21no—
240#552—21no—
241#552—21no—
242#552—21no—
243#552—41no—
244#551—41no—
245#550C2311yescharacteristic
246#550C2311yescharacteristic
247D4×Q8C2311yescharacteristic
248D4×Q8C2311yescharacteristic
249D4×Q8C2311yescharacteristic
250#548—21no—
251#548—21no—
252#548—21no—
253#547—21no—
254#547—21no—
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#546—21no—
259#546—21no—
260#546—41no—
261D42—21no—
262D42C2311yescharacteristic
263#542—21no—
264#542—21no—
265#542—21no—
266#541—41no—
267#540—21no—
268#539—41no—
269#539—41no—
270#536—21no—
271#536—21no—
272#533—21no—
273#533—21no—
274#533C2311yescharacteristic
275#533C2311yescharacteristic
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#519—21no—
287C4×#41C2311yescharacteristic
288C2×C4×D4—21no—
289C2×C4×D4C2311yescharacteristic
290#501—21no—
291#501—21no—
292#501—41no—
293#500C2311yescharacteristic
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#498C2311yescharacteristic
298#498C2311yescharacteristic
299#498C2311yescharacteristic
300#497—21no—
301#497—21no—
302#497—21no—
303#496—21no—
304#495—21no—
305#495—21no—
306#495—21no—
307#494C2311yescharacteristic
308#494C2311yescharacteristic
309#493C2311yescharacteristic
310#492—21no—
311#492C2311yescharacteristic
312#492C2311yescharacteristic
313#492C2311yescharacteristic
314#492C2311yescharacteristic
315#491—21no—
316#491—21no—
317#490—21no—
318#490—21no—
319#489—21no—
320#489—21no—
321#488—21no—
322#488—21no—
323#487—21no—
324#487—21no—
325#487C2311yescharacteristic
326#487C2311yescharacteristic
327#487C2311yescharacteristic
328#487C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#485—21no—
336#485—21no—
337#485D411yescharacteristic
338#484—21no—
339#484—21no—
340#484—21no—
341#483—21no—
342#483D411yescharacteristic
343#483D411yescharacteristic
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#482—21no—
350#482D411yescharacteristic
351#481—21no—
352#481—21no—
353#480—21no—
354#480—21no—
355#479—21no—
356#479—21no—
357#479D411yescharacteristic
358#478—21no—
359#478—21no—
360#478—21no—
361#478—21no—
362#478D411yescharacteristic
363#477—21no—
364#477—21no—
365#477—21no—
366#476—21no—
367#476—21no—
368#476D411yescharacteristic
369#476D411yescharacteristic
370#475—21no—
371#475—21no—
372#475—21no—
373#475C2311yescharacteristic
374#475C2311yescharacteristic
375#475C2311yescharacteristic
376#475C2311yescharacteristic
377#475C2311yescharacteristic
378#475C2311yescharacteristic
379#474—21no—
380#474—21no—
381#474—21no—
382#474—21no—
383#474C2311yescharacteristic
384#474C2311yescharacteristic
385#474C2311yescharacteristic
386#474C2311yescharacteristic
387#474C2311yescharacteristic
388#474C2311yescharacteristic
389#470—21no—
390#470—21no—
391#470—21no—
392#470—21no—
393#470—21no—
394#470—21no—
395#469—21no—
396#469—21no—
397#469—41no—
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#465—21no—
407#465—21no—
408#465—21no—
409#465—21no—
410#464—21no—
411#464—21no—
412#464—21no—
413#464—21no—
414#464—21no—
415#464—21no—
416#464—21no—
417#464—21no—
418#464—21no—
419#464D411yescharacteristic
420#463—21no—
421#463—21no—
422#463—21no—
423#463—21no—
424#463—21no—
425#463—21no—
426#463—21no—
427#463D411yescharacteristic
428#462—21no—
429#462—21no—
430#462—21no—
431#462C2311yescharacteristic
432#462C2311yescharacteristic
433#462C2311yescharacteristic
434#462C2311yescharacteristic
435#462C2311yescharacteristic
436#462C2311yescharacteristic
437#461—21no—
438#461—21no—
439#461—21no—
440#461—21no—
441#461—21no—
442#461—21no—
443#461—21no—
444#461D411yescharacteristic
445#461D411yescharacteristic
446#461C2311yescharacteristic
447#461C2311yescharacteristic
448#461C2311yescharacteristic
449#461C2311yescharacteristic
450#461C2311yescharacteristic
451#461C2311yescharacteristic
452#460—21no—
453#460—21no—
454#460—21no—
455#460—21no—
456#460C2311yescharacteristic
457#460C2311yescharacteristic
458#460C2311yescharacteristic
459#460C2311yescharacteristic
460#459C2311yescharacteristic
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#452—21no—
474#452—21no—
475#452D411yescharacteristic
476#451—21no—
477#451—21no—
478#451—21no—
479#451—21no—
480#451—21no—
481#450—21no—
482#450—21no—
483#450—21no—
484#450—21no—
485#450D411yescharacteristic
486#450D411yescharacteristic
487#449—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#449—21no—
493#449—21no—
494#449D411yescharacteristic
495#448—21no—
496#448—21no—
497#448—21no—
498#448—21no—
499#448—21no—
500#446—21no—
501#446—21no—
502#446C2311yescharacteristic
503#446C2311yescharacteristic
504#446C2311yescharacteristic
505#446C2311yescharacteristic
506#446C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508C8×Q8C2311yescharacteristic
509C8×Q8C2311yescharacteristic
510#442—21no—
511#442—21no—
512#442—41no—
513#441—21no—
514#441—21no—
515#440—21no—
516#440—21no—
517#440—21no—
518#440—21no—
519#440—21no—
520#440—21no—
521#440—21no—
522#440—21no—
523C4×Q16—21no—
524C4×Q16—21no—
525C4×Q16C2311yescharacteristic
526C4×SD16—21no—
527C4×SD16—21no—
528C4×SD16—21no—
529C4×SD16—21no—
530C4×SD16—21no—
531C4×SD16—21no—
532C4×SD16C2311yescharacteristic
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×SD16C2311yescharacteristic
536C4×SD16C2311yescharacteristic
537C4×SD16C2311yescharacteristic
538C4×D8C2311yescharacteristic
539#436—21no—
540#436—21no—
541#436—21no—
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#436C2311yescharacteristic
547#436C2311yescharacteristic
548#436C2311yescharacteristic
549#435—21no—
550#435—21no—
551#435—21no—
552C8×D4C2311yescharacteristic
553#433—21no—
554#433—21no—
555#433—21no—
556#432—21no—
557#432C2311yescharacteristic
558#431C2311yescharacteristic
559#431C2311yescharacteristic
560#431C2311yescharacteristic
561#428—21no—
562#428—21no—
563#428—41no—
564C2×#107—21no—
565#424—21no—
566#423—21no—
567#423C2311yescharacteristic
568C2×C4⋊C8C2311yescharacteristic
569#419—21no—
570#418—21no—
571#418—21no—
572#418—21no—
573#417—21no—
574#417—21no—
575#417—21no—
576#417—21no—
577C2×#103—21no—
578C2×#102—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#332C2311yescharacteristic
591#332C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612Q8⋊C8C2311yescharacteristic
613Q8⋊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—41no—
634C2×#41—41no—
635C2×#41—82no—
636C2×#41—82no—
637C2×#41C2×D411yescharacteristic
638C22×Q8—21no—
639C22×Q8—21no—
640C22×Q8—21no—
641C22×Q8—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—41no—
645C22×D4C2×D411yescharacteristic
646C23×C4—21no—
647C23×C4—41no—
648#137—82no—
649#137—82no—
650#137—82no—
651#137—82no—
652AGL(1,ℤ/8)—82no—
653AGL(1,ℤ/8)—82no—
654#135—82no—
655C2×Q16—21no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16—21no—
661C2×Q16—21no—
662C2×Q16—21no—
663C2×Q16—21no—
664C2×Q16—21no—
665C2×Q16C2×D411yescharacteristic
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—21no—
683C2×SD16—21no—
684C2×SD16C2×D411yescharacteristic
685C2×SD16C2×D411yescharacteristic
686C2×SD16C2×D411yescharacteristic
687C2×SD16C2×D411yescharacteristic
688C2×SD16C2×D411yescharacteristic
689C2×SD16C2×D411yescharacteristic
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—41no—
695C2×D8C2×D411yescharacteristic
696C2×M16—21no—
697C2×M16—21no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—21no—
703C2×M16—21no—
704C2×M16—21no—
705C22×C8—21no—
706C22×C8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—21no—
709C4⋊Q8—21no—
710C4⋊Q8—21no—
711C4⋊Q8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—21no—
714C4⋊Q8—21no—
715C4⋊Q8—21no—
716C4⋊Q8C2×D411yescharacteristic
717C4⋊Q8C2×D411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722C4⋊Q8C2411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724#127—21no—
725#127—21no—
726#127C2411yescharacteristic
727#127C2411yescharacteristic
728#126—21no—
729#126—41no—
730#126—41no—
731#126—41no—
732#126—41no—
733#126—41no—
734#126—41no—
735#126—41no—
736#125—21no—
737#125—21no—
738#125—21no—
739#125—21no—
740#125—21no—
741#125—41no—
742#125—41no—
743#125—41no—
744#125—41no—
745#125—41no—
746#125—41no—
747#125—41no—
748#125C2×D411yescharacteristic
749#124—21no—
750#124—21no—
751#124—21no—
752#124—21no—
753#124—21no—
754#124—21no—
755#124—21no—
756#124—41no—
757#124—41no—
758#124—41no—
759#124—41no—
760#124C2×D411yescharacteristic
761#123—21no—
762#123—41no—
763#123—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773#123—41no—
774#123—41no—
775#123—41no—
776#123—41no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796C22⋊Q8—41no—
797C22⋊Q8—41no—
798C22⋊Q8—41no—
799C22⋊Q8—41no—
800C22⋊Q8—41no—
801C22⋊Q8—41no—
802C22⋊Q8—41no—
803C22⋊Q8C2×D411yescharacteristic
804C22⋊Q8C2×D411yescharacteristic
805C22⋊Q8C2×D411yescharacteristic
806#121—21no—
807#121—21no—
808#121—21no—
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—21no—
817#121—41no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121C2×D411yescharacteristic
825#120—41no—
826#120—41no—
827#120—41no—
828#120—41no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8—21no—
834C4×Q8—21no—
835C4×Q8—21no—
836C4×Q8—21no—
837C4×Q8—21no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—41no—
842C4×Q8—41no—
843C4×Q8—41no—
844C4×Q8C2×D411yescharacteristic
845C4×Q8C2411yescharacteristic
846C4×Q8C2411yescharacteristic
847C4×Q8C2411yescharacteristic
848C4×Q8C2411yescharacteristic
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—41no—
866C4×D4—41no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4—41no—
871C4×D4—41no—
872C4×D4C2×D411yescharacteristic
873C4×D4C2×D411yescharacteristic
874C4×D4C2×D411yescharacteristic
875C4×D4C2411yescharacteristic
876C4×D4C2411yescharacteristic
877C4×D4C2411yescharacteristic
878C4×D4C2411yescharacteristic
879#117—21no—
880#117—21no—
881#117—21no—
882#117—21no—
883#117—21no—
884#117—21no—
885#117—21no—
886#117—41no—
887#117—41no—
888#117—41no—
889#117—41no—
890#117C2×D411yescharacteristic
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—41no—
897C2×C4⋊C4—41no—
898C2×C4⋊C4C2×D411yescharacteristic
899C2×C22⋊C4—21no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C42—21no—
903C2×C42C2411yescharacteristic
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—41no—
915#107—41no—
916#107C2×D411yescharacteristic
917#107C2×D411yescharacteristic
918#106—21no—
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—21no—
924#106—41no—
925#106—41no—
926#106—41no—
927#106C2×D411yescharacteristic
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930#106C2×D411yescharacteristic
931#106C2×D411yescharacteristic
932#106C2×D411yescharacteristic
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
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#103C2×D411yescharacteristic
982#103C2×D411yescharacteristic
983#103C2×D411yescharacteristic
984#103C2×D411yescharacteristic
985#103C2×D411yescharacteristic
986#103C2×D411yescharacteristic
987#103C2×D411yescharacteristic
988#103C2×D411yescharacteristic
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—41no—
1012#102—41no—
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⋊C8C2×D411yescharacteristic
1032C22⋊C8C2×D411yescharacteristic
1033C22⋊C8C2×D411yescharacteristic
1034C22⋊C8C2×D411yescharacteristic
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040#97—21no—
1041#97—21no—
1042C4×C8—21no—
1043C4×C8—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—84no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—41no—
1080C2×Q8—41no—
1081C2×Q8—41no—
1082C2×Q8—41no—
1083C2×Q8—42no—
1084C2×Q8—81no—
1085C2×Q8—81no—
1086C2×Q8—81no—
1087C2×Q8—81no—
1088C2×Q8—81no—
1089C2×Q8—81no—
1090C2×Q8—81no—
1091C2×Q8C22×D411yescharacteristic
1092C2×Q8C22×D411yescharacteristic
1093C2×Q8C22×D411yescharacteristic
1094C2×Q8C22×D411yescharacteristic
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—84no—
1122C2×D4C22×D411yescharacteristic
1123C2×D4C22×D411yescharacteristic
1124C2×D4C22×D411yescharacteristic
1125C2×D4C22×D411yescharacteristic
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—81no—
1148C22×C4—81no—
1149C22×C4—84no—
1150C22×C4C22×D411yescharacteristic
1151C22×C4C22×D411yescharacteristic
1152C22×C4H(5,𝔽2)11yescharacteristic
1153Q16—41no—
1154Q16—42no—
1155Q16—81no—
1156Q16—81no—
1157Q16—81no—
1158Q16—81no—
1159Q16—81no—
1160Q16—81no—
1161Q16—81no—
1162Q16—81no—
1163Q16—81no—
1164SD16—41no—
1165SD16—41no—
1166SD16—41no—
1167SD16—41no—
1168SD16—41no—
1169SD16—41no—
1170SD16—42no—
1171SD16—42no—
1172SD16—81no—
1173SD16—81no—
1174SD16—81no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178SD16—81no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182SD16—81no—
1183SD16—81no—
1184SD16—81no—
1185SD16—81no—
1186SD16—81no—
1187SD16—81no—
1188D8—41no—
1189D8—42no—
1190D8—82no—
1191D8—81no—
1192D8—81no—
1193D8—81no—
1194M16—42no—
1195M16—81no—
1196M16—81no—
1197M16—81no—
1198M16—81no—
1199M16—81no—
1200M16—81no—
1201M16—81no—
1202M16—81no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—81no—
1214C2×C8—81no—
1215C2×C8C22×D411yescharacteristic
1216C2×C8C22×D411yescharacteristic
1217C2×C8C22×D411yescharacteristic
1218C2×C8C22×D411yescharacteristic
1219C2×C8C22×D411yescharacteristic
1220C2×C8C22×D411yescharacteristic
1221C2×C8C22×D411yescharacteristic
1222C2×C8C22×D411yescharacteristic
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
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—41no—
1250C4⋊C4—41no—
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—41no—
1294C22⋊C4—41no—
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—
1316C42—21no—
1317C42—21no—
1318C42—21no—
1319C42—21no—
1320C42—21no—
1321C42—21no—
1322C42—41no—
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—41no—
1338C23—41no—
1339C23—81no—
1340C23—81no—
1341C23—81no—
1342C23—82no—
1343C23—82no—
1344C23—161no—
1345C23D4211yescharacteristic
1346Q8—21no—
1347Q8—21no—
1348Q8—21no—
1349Q8—21no—
1350Q8—21no—
1351Q8—21no—
1352Q8—21no—
1353Q8—21no—
1354Q8—41no—
1355Q8—41no—
1356Q8—41no—
1357Q8—41no—
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361Q8—41no—
1362Q8—41no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—81no—
1367Q8—82no—
1368Q8—82no—
1369Q8—161no—
1370Q8—161no—
1371D4—21no—
1372D4—21no—
1373D4—21no—
1374D4—21no—
1375D4—21no—
1376D4—21no—
1377D4—21no—
1378D4—21no—
1379D4—42no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—81no—
1389D4—81no—
1390D4—81no—
1391D4—81no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—161no—
1399D4—161no—
1400D4—161no—
1401D4—161no—
1402D4—161no—
1403C2×C4—21no—
1404C2×C4—21no—
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—81no—
1436C2×C4—81no—
1437C2×C4—81no—
1438C2×C4—82no—
1439C2×C4—81no—
1440C2×C4—82no—
1441C2×C4—82no—
1442C2×C4—82no—
1443C2×C4—82no—
1444C2×C4—82no—
1445C2×C4—161no—
1446C2×C4—161no—
1447C2×C4—161no—
1448C2×C4—161no—
1449C2×C4—161no—
1450C2×C4—161no—
1451C2×C4D4211yescharacteristic
1452C2×C4D4211yescharacteristic
1453C2×C4D4211yescharacteristic
1454C2×C4C23×D411yescharacteristic
1455C2×C4C23×D411yescharacteristic
1456C2×C4C2×H(5,𝔽2)11yescharacteristic
1457C8—22no—
1458C8—21no—
1459C8—21no—
1460C8—21no—
1461C8—21no—
1462C8—21no—
1463C8—21no—
1464C8—21no—
1465C8—21no—
1466C8—41no—
1467C8—41no—
1468C8—41no—
1469C8—41no—
1470C8—41no—
1471C8—41no—
1472C8—41no—
1473C8—41no—
1474C8—41no—
1475C22—21no—
1476C22—21no—
1477C22—21no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—81no—
1491C22—81no—
1492C22—81no—
1493C22—81no—
1494C22—81no—
1495C22—81no—
1496C22—162no—
1497C22—164no—
1498C22C2×D4211yescharacteristic
1499C4—21no—
1500C4—21no—
1501C4—21no—
1502C4—21no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—81no—
1516C4—81no—
1517C4—81no—
1518C4—81no—
1519C4—81no—
1520C4—81no—
1521C4#358511yescharacteristic
1522C4#358511yescharacteristic
1523C4#358511yescharacteristic
1524C4#358611yescharacteristic
1525C2—41no—
1526C2—81no—
1527C2—81no—
1528C2—81no—
1529C2—81no—
1530C2—161no—
1531C2—161no—
1532C2#6105911yescharacteristic
1533C2#6106211yescharacteristic
1534C2#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. #62109C2semidirect
2. #62042C2semidirect
3. #61923C2semidirect
4. #61589C2semidirect
5. #20312C2semidirect
6. #20303C2semidirect
7. #20297C2semidirect
8. #20291C2semidirect
9. #20268C2semidirect
10. #20267C2semidirect
11. #20254C2semidirect
12. #20234C2semidirect
13. #20200C2semidirect
14. #20198C2semidirect
15. #20194C2semidirect
16. #20186C2semidirect
17. #20152C2semidirect
18. #20089C2semidirect
19. #20076C2semidirect
20. #20045C2semidirect
21. #19726C2semidirect
22. #19546C2semidirect
23. #19527C2semidirect
24. #19449C2semidirect
25. #19421C2semidirect
26. #18742C2semidirect
27. #18592C2semidirect
28. #18587C2semidirect
29. #18554C2semidirect
30. #17954C2semidirect
31. #17952C2semidirect
32. #3554C22semidirect
38. #3400C22semidirect
40. #3397C22semidirect
42. #3394C22semidirect
43. #3392C22semidirect
47. #3374C22semidirect
48. #3373C22semidirect
52. #3367C22semidirect
53. #3364C22semidirect
54. #3359C22semidirect
55. #3359C22semidirect
74. #3284C22semidirect
79. #3276C22semidirect
85. #3255C22semidirect
93. #3218C22semidirect
96. #3210C22semidirect
97. #3206C22semidirect
101. #3165C22semidirect
116. #2993C22semidirect
118. #2985C22semidirect
120. #1723C22semidirect
121. #1722C22semidirect
122. #1720C22semidirect
123. #1719C22semidirect
124. #1715C22semidirect
125. #1714C22semidirect
126. #1707C22semidirect
127. #1706C22semidirect
128. #1702C22semidirect
129. #1702C22semidirect
130. #1701C22semidirect
131. #1701C22semidirect
132. #1700C22semidirect
133. #1700C22semidirect
134. #1700C22semidirect
137. #1699C22semidirect
138. #1699C22semidirect
139. #1699C22semidirect
140. #1694C22semidirect
141. #1693C22semidirect
142. #1690C22semidirect
143. #1689C22semidirect
144. #1686C22semidirect
145. #1686C22semidirect
146. #1686C22semidirect
149. #1685C22semidirect
150. #1685C22semidirect
151. #1685C22semidirect
152. #1682C22semidirect
153. #1682C22semidirect
154. #1682C22semidirect
155. #1681C22semidirect
156. #1674C22semidirect
157. #1673C22semidirect
158. #1670C22semidirect
159. #1670C22semidirect
161. #1654C22semidirect
162. #1654C22semidirect
163. #1653C22semidirect
164. #1653C22semidirect
165. #1653C22semidirect
168. #1652C22semidirect
169. #1652C22semidirect
171. #1651C22semidirect
172. #1650C22semidirect
173. #1650C22semidirect
174. #1649C22semidirect
175. #1649C22semidirect
176. #1648C22semidirect
177. #1648C22semidirect
181. #1642C22semidirect
182. #1640C22semidirect
185. #1627C22semidirect
186. #1626C22semidirect
189. #1621C22semidirect
190. #1620C22semidirect
193. #1592C22semidirect
194. #1592C22semidirect
195. #1592C22semidirect
196. #1591C22semidirect
198. #1590C22semidirect
199. #1589C22semidirect
201. #1588C22semidirect
202. #1588C22semidirect
203. #1585C22semidirect
204. #1584C22semidirect
206. #1583C22semidirect
207. #1581C22semidirect
208. #1572C22semidirect
209. #1571C22semidirect
211. #1552C22semidirect
212. #1549C22semidirect
213. #1540C22semidirect
216. #1485C22semidirect
217. #1483C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621092
#620422
#619232
#615892
#203122
#203032
#202972
#202912
#202682
#202672
#202542
#202342
#202002
#201982
#201942
#201862
#201522
#200892
#200762
#200452
#197262
#195462
#195272
#194492
#194212
#187422
#185922
#185872
#185542
#179542
#179522