Finite Group Databasebeta

← #6363970

Subgroups — #6363970

Order 512.

1588 conjugacy classes of subgroups.

The subgroup lattice has 1517 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62189C211yesmaximal, characteristic, complemented
2#61948C211yesmaximal, characteristic, complemented
3#61858C211yesmaximal, characteristic, complemented
4#61589C211yesmaximal, characteristic
5#20204C211yesmaximal, characteristic, complemented
6#20190C211yesmaximal, characteristic, complemented
7#20184C211yesmaximal, characteristic, complemented
8#20178C211yesmaximal, characteristic, complemented
9#20109C211yesmaximal, characteristic, complemented
10#20089C211yesmaximal, characteristic, complemented
11#20073C211yesmaximal, characteristic, complemented
12#20045C211yesmaximal, characteristic, complemented
13#19920C211yesmaximal, characteristic, complemented
14#19914C211yesmaximal, characteristic, complemented
15#19897C211yesmaximal, characteristic, complemented
16#19890C211yesmaximal, characteristic, complemented
17#19831C211yesmaximal, characteristic, complemented
18#19821C211yesmaximal, characteristic, complemented
19#19808C211yesmaximal, characteristic, complemented
20#19805C211yesmaximal, characteristic, complemented
21#19714C211yesmaximal, characteristic, complemented
22#19536C211yesmaximal, characteristic, complemented
23#19527C211yesmaximal, characteristic, complemented
24#19426C211yesmaximal, characteristic, complemented
25#19418C211yesmaximal, characteristic, complemented
26#18744C211yesmaximal, characteristic, complemented
27#18591C211yesmaximal, characteristic, complemented
28#18586C211yesmaximal, characteristic, complemented
29#18555C211yesmaximal, characteristic, complemented
30#17952C211yesmaximal, characteristic, complemented
31#17926C211yesmaximal, characteristic, complemented
32#3555C2211yescharacteristic, complemented
33#3520C2211yescharacteristic
34#3503C2211yescharacteristic
35D4×#41C2211yescharacteristic
36#3392C2211yescharacteristic
37#3392C2211yescharacteristic
38#3388—21no—
39#3387—21no—
40#3387C2211yescharacteristic, complemented
41#3386C2211yescharacteristic, complemented
42#3384C2211yescharacteristic, complemented
43#3381C2211yescharacteristic, complemented
44Q8×SD16C2211yescharacteristic, complemented
45Q8×SD16C2211yescharacteristic, complemented
46#3376—21no—
47#3374C2211yescharacteristic, complemented
48#3369—21no—
49#3369C2211yescharacteristic
50#3367C2211yescharacteristic, complemented
51#3364C2211yescharacteristic
52#3364C2211yescharacteristic, complemented
53#3359C2211yescharacteristic
54#3359C2211yescharacteristic
55#3359C2211yescharacteristic, complemented
56#3356—21no—
57#3353C2211yescharacteristic
58#3344—21no—
59#3335C2211yescharacteristic
60#3332C2211yescharacteristic
61#3331C2211yescharacteristic, complemented
62#3330C2211yescharacteristic
63#3328C2211yescharacteristic
64#3327—21no—
65#3324C2211yescharacteristic
66#3323—21no—
67#3323—21no—
68#3311—21no—
69#3302C2211yescharacteristic, complemented
70#3298—21no—
71#3298—21no—
72#3298C2211yescharacteristic
73#3298C2211yescharacteristic
74D4×SD16—21no—
75D4×SD16—21no—
76D4×SD16C2211yescharacteristic
77D4×SD16C2211yescharacteristic
78#3278C2211yescharacteristic
79#3277—21no—
80#3276C2211yescharacteristic
81#3276C2211yescharacteristic
82#3275—21no—
83#3272C2211yescharacteristic
84#3258—21no—
85#3255C2211yescharacteristic, complemented
86#3246—21no—
87#3246C2211yescharacteristic
88#3244—21no—
89#3244—21no—
90#3242—21no—
91#3239C2211yescharacteristic, complemented
92#3231C2211yescharacteristic, complemented
93#3229C2211yescharacteristic, complemented
94#3212C2211yescharacteristic
95#3210C2211yescharacteristic
96#3206—21no—
97#3206C2211yescharacteristic
98#3197—21no—
99#3196—21no—
100#3182C2211yescharacteristic
101#3165C2211yescharacteristic, complemented
102#3125—21no—
103#3120—21no—
104#3120—21no—
105#3116C2211yescharacteristic
106#3107C2211yescharacteristic
107#3102C2211yescharacteristic
108#3101—21no—
109#3101C2211yescharacteristic
110#3084—21no—
111#3077C2211yescharacteristic
112C2×#461—21no—
113C2×#461C2211yescharacteristic
114#3007—21no—
115#3005—21no—
116#2993C2211yescharacteristic, complemented
117#2988C2211yescharacteristic
118#2985C2211yescharacteristic, 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#1700C2211yescharacteristic, complemented
129#1700C2211yescharacteristic, complemented
130#1700C2211yescharacteristic, complemented
131#1699C2211yescharacteristic
132#1699C2211yescharacteristic
133#1699C2211yescharacteristic, complemented
134#1699C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1691C2211yescharacteristic
137#1691C2211yescharacteristic
138#1691C2211yescharacteristic, complemented
139#1691C2211yescharacteristic, complemented
140#1686C2211yescharacteristic, complemented
141#1686C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1682C2211yescharacteristic, complemented
147#1682C2211yescharacteristic, complemented
148#1680C2211yescharacteristic, complemented
149#1680C2211yescharacteristic, complemented
150#1679C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1674C2211yescharacteristic, complemented
153#1673C2211yescharacteristic, complemented
154#1672C2211yescharacteristic, complemented
155#1671C2211yescharacteristic, complemented
156#1670C2211yescharacteristic, complemented
157#1670C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic
162#1653C2211yescharacteristic, complemented
163#1653C2211yescharacteristic, complemented
164#1651C2211yescharacteristic, complemented
165#1651C2211yescharacteristic, complemented
166#1651C2211yescharacteristic, complemented
167#1651C2211yescharacteristic, complemented
168#1650C2211yescharacteristic
169#1650C2211yescharacteristic
170#1650C2211yescharacteristic, complemented
171#1649C2211yescharacteristic
172#1649C2211yescharacteristic, complemented
173#1649C2211yescharacteristic, complemented
174#1648C2211yescharacteristic, complemented
175#1648C2211yescharacteristic, complemented
176#1648C2211yescharacteristic, complemented
177#1647C2211yescharacteristic
178#1647C2211yescharacteristic, complemented
179#1647C2211yescharacteristic, complemented
180#1645C2211yescharacteristic, complemented
181#1643C2211yescharacteristic, complemented
182#1641C2211yescharacteristic
183#1639C2211yescharacteristic
184#1637C2211yescharacteristic
185#1635C2211yescharacteristic
186#1631C2211yescharacteristic
187#1629C2211yescharacteristic
188#1628C2211yescharacteristic, complemented
189#1626C2211yescharacteristic, complemented
190#1623C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1592C2211yescharacteristic
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic
195#1590C2211yescharacteristic, complemented
196#1588C2211yescharacteristic
197#1588C2211yescharacteristic, complemented
198#1588C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1584C2211yescharacteristic, complemented
201#1583C2211yescharacteristic
202#1583C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204SD16⋊C8C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×Q16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1572C2211yescharacteristic, complemented
209#1571C2211yescharacteristic, complemented
210#1557C2211yescharacteristic
211#1552C2211yescharacteristic, complemented
212#1546C2211yescharacteristic, complemented
213#1542C2211yescharacteristic, 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×AGL(1,ℤ/8)—21no—
224C22×SD16—21no—
225C22×SD16—21no—
226C22×SD16—21no—
227#563—41no—
228Q82—21no—
229Q82C2311yescharacteristic
230#557—21no—
231#557C2311yescharacteristic
232#557C2311yescharacteristic
233#557C2311yescharacteristic
234#556—21no—
235#556—21no—
236#556C2311yescharacteristic
237#556C2311yescharacteristic
238#554—21no—
239#554—21no—
240#554—41no—
241#554C2311yescharacteristic
242#552—21no—
243#552—21no—
244#551—41no—
245#550C2311yescharacteristic
246D4×Q8—21no—
247D4×Q8—21no—
248D4×Q8C2311yescharacteristic
249D4×Q8C2311yescharacteristic
250D4×Q8C2311yescharacteristic
251D4×Q8C2311yescharacteristic
252#548—21no—
253#548—21no—
254#547—21no—
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#546—21no—
259#546—21no—
260#546—41no—
261D42—21no—
262D42C2311yescharacteristic
263#544—21no—
264#544—21no—
265#544—41no—
266#542—21no—
267#542—21no—
268#541—21no—
269#541—21no—
270#541—41no—
271#539—41no—
272#533—21no—
273#533C2311yescharacteristic
274#533C2311yescharacteristic
275#533C2311yescharacteristic
276#532—21no—
277#532C2311yescharacteristic
278C2×C4⋊Q8—21no—
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—21no—
293#501—21no—
294#501—41no—
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#500C2311yescharacteristic
298#500C2311yescharacteristic
299#499—21no—
300#498—21no—
301#498—21no—
302#498C2311yescharacteristic
303#498C2311yescharacteristic
304#498C2311yescharacteristic
305#498C2311yescharacteristic
306#498C2311yescharacteristic
307#495—21no—
308#494C2311yescharacteristic
309#492—21no—
310#492—21no—
311#492C2311yescharacteristic
312#492C2311yescharacteristic
313#492C2311yescharacteristic
314#492C2311yescharacteristic
315#491—21no—
316#489—21no—
317#489—21no—
318#489—21no—
319#488—21no—
320#488—21no—
321#488—21no—
322#487—21no—
323#487—21no—
324#487—21no—
325#487C2311yescharacteristic
326#487C2311yescharacteristic
327#487C2311yescharacteristic
328#487C2311yescharacteristic
329#487C2311yescharacteristic
330#487C2311yescharacteristic
331#487C2311yescharacteristic
332#487C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#485—21no—
336#485—21no—
337#485—21no—
338#485—21no—
339#485—21no—
340#485—21no—
341#485D411yescharacteristic
342#484—21no—
343#484—21no—
344#484—21no—
345#483—21no—
346#483—21no—
347#483—21no—
348#483—21no—
349#483—21no—
350#483—21no—
351#483D411yescharacteristic
352#483D411yescharacteristic
353#482—21no—
354#482—21no—
355#482D411yescharacteristic
356#481—21no—
357#481—21no—
358#481—21no—
359#479—21no—
360#479—21no—
361#479—21no—
362#479—21no—
363#479—21no—
364#479—21no—
365#479—21no—
366#479D411yescharacteristic
367#478—21no—
368#478—21no—
369#478—21no—
370#478—21no—
371#478—21no—
372#478D411yescharacteristic
373#477—21no—
374#477—21no—
375#477C2311yescharacteristic
376#476—21no—
377#476—21no—
378#476—21no—
379#476—21no—
380#476D411yescharacteristic
381#476D411yescharacteristic
382#476C2311yescharacteristic
383#476C2311yescharacteristic
384#476C2311yescharacteristic
385#475—21no—
386#475—21no—
387#475—21no—
388#475—21no—
389#475—21no—
390#475—21no—
391#475—21no—
392#475—21no—
393#475—21no—
394#475—21no—
395#475C2311yescharacteristic
396#475C2311yescharacteristic
397#475C2311yescharacteristic
398#475C2311yescharacteristic
399#475C2311yescharacteristic
400#475C2311yescharacteristic
401#475C2311yescharacteristic
402#474C2311yescharacteristic
403#474C2311yescharacteristic
404#474C2311yescharacteristic
405#474C2311yescharacteristic
406#474C2311yescharacteristic
407#470—21no—
408#470—21no—
409#470—21no—
410#470—21no—
411#470—21no—
412#470—21no—
413#469—21no—
414#468—21no—
415#468—21no—
416#468—21no—
417#468—21no—
418#468—21no—
419#468—41no—
420#467—21no—
421#465—21no—
422#465—21no—
423#465—21no—
424#465—21no—
425#465—21no—
426#465—21no—
427#465—21no—
428#464—21no—
429#464—21no—
430#464—21no—
431#464—21no—
432#464—21no—
433#464D411yescharacteristic
434#463—21no—
435#463D411yescharacteristic
436#462—21no—
437#462—21no—
438#462C2311yescharacteristic
439#462C2311yescharacteristic
440#462C2311yescharacteristic
441#462C2311yescharacteristic
442#462C2311yescharacteristic
443#461—21no—
444#461—21no—
445#461—21no—
446#461—21no—
447#461—21no—
448#461—21no—
449#461—21no—
450#461—21no—
451#461—21no—
452#461—21no—
453#461D411yescharacteristic
454#461D411yescharacteristic
455#461C2311yescharacteristic
456#461C2311yescharacteristic
457#461C2311yescharacteristic
458#461C2311yescharacteristic
459#461C2311yescharacteristic
460#461C2311yescharacteristic
461#461C2311yescharacteristic
462#460—21no—
463#460—21no—
464#460C2311yescharacteristic
465#460C2311yescharacteristic
466#460C2311yescharacteristic
467#459C2311yescharacteristic
468#452—21no—
469#452—21no—
470#452—21no—
471#452—21no—
472#452—21no—
473#452—21no—
474#452—21no—
475#452—21no—
476#452—21no—
477#452—21no—
478#452D411yescharacteristic
479#451—21no—
480#451—21no—
481#451—21no—
482#450—21no—
483#450—21no—
484#450—21no—
485#450—21no—
486#450D411yescharacteristic
487#450D411yescharacteristic
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#449D411yescharacteristic
493#448—21no—
494#448—21no—
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
505C8×Q8C2311yescharacteristic
506C8×Q8C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508C8×Q8C2311yescharacteristic
509C8×Q8C2311yescharacteristic
510#442—21no—
511#441—21no—
512#441—21no—
513#441—21no—
514#441—21no—
515#440—21no—
516#440—21no—
517#440—21no—
518#440—41no—
519C4×Q16—21no—
520C4×Q16—21no—
521C4×Q16—21no—
522C4×Q16C2311yescharacteristic
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16—21no—
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#435—21no—
548C8×D4—21no—
549C8×D4—21no—
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552C8×D4C2311yescharacteristic
553#433—21no—
554#433—21no—
555#433—21no—
556#432C2311yescharacteristic
557#431—21no—
558#431C2311yescharacteristic
559#431C2311yescharacteristic
560#431C2311yescharacteristic
561#428—21no—
562#428—21no—
563#428—41no—
564C2×#106—21no—
565#424—21no—
566#423C2311yescharacteristic
567C2×C4⋊C8—21no—
568C2×C4⋊C8C2311yescharacteristic
569#419—21no—
570#418—21no—
571#418—21no—
572#417—21no—
573#417—21no—
574#417—21no—
575#416—21no—
576C2×#103—21no—
577C2×#103—21no—
578C2×#103—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
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—41no—
632C2×#41—41no—
633C2×#41—82no—
634C2×#41—82no—
635C2×#41C2×D411yescharacteristic
636C22×Q8—21no—
637C22×Q8—21no—
638C22×Q8—21no—
639C22×Q8—21no—
640C22×Q8—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—41no—
644C22×D4C2×D411yescharacteristic
645C23×C4—21no—
646C23×C4—41no—
647#137—82no—
648#137—82no—
649#137—82no—
650AGL(1,ℤ/8)—82no—
651C2×Q16—21no—
652C2×Q16—21no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16—21no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16C2×D411yescharacteristic
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
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—41no—
676C2×SD16—82no—
677C2×SD16—82no—
678C2×SD16—82no—
679C2×SD16C2×D411yescharacteristic
680C2×SD16C2×D411yescharacteristic
681C2×SD16C2×D411yescharacteristic
682C2×SD16C2×D411yescharacteristic
683C2×SD16C2×D411yescharacteristic
684C2×SD16C2×D411yescharacteristic
685C2×D8—21no—
686C2×D8C2×D411yescharacteristic
687C2×M16—21no—
688C2×M16—21no—
689C2×M16—21no—
690C2×M16—21no—
691C2×M16—21no—
692C2×M16—21no—
693C2×M16—21no—
694C22×C8—21no—
695C22×C8—21no—
696C22×C8—21no—
697C22×C8—21no—
698C4⋊Q8—21no—
699C4⋊Q8—21no—
700C4⋊Q8—21no—
701C4⋊Q8—21no—
702C4⋊Q8—21no—
703C4⋊Q8—21no—
704C4⋊Q8—21no—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—21no—
709C4⋊Q8—21no—
710C4⋊Q8—41no—
711C4⋊Q8—41no—
712C4⋊Q8—41no—
713C4⋊Q8—41no—
714C4⋊Q8—41no—
715C4⋊Q8—41no—
716C4⋊Q8C2×D411yescharacteristic
717C4⋊Q8C2×D411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722C4⋊Q8C2411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725#127—21no—
726#127C2411yescharacteristic
727#126—21no—
728#126—41no—
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—21no—
742#125—21no—
743#125—41no—
744#125—41no—
745#125—41no—
746#125—41no—
747#125—41no—
748#125—41no—
749#125—41no—
750#125—41no—
751#125—41no—
752#125C2×D411yescharacteristic
753#124—21no—
754#124—21no—
755#124—21no—
756#124—41no—
757#124—41no—
758#124—41no—
759#124C2×D411yescharacteristic
760#123—21no—
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—
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⋊Q8C2×D411yescharacteristic
801C22⋊Q8C2×D411yescharacteristic
802C22⋊Q8C2×D411yescharacteristic
803#121—21no—
804#121—21no—
805#121—21no—
806#121—21no—
807#121—21no—
808#121—21no—
809#121—21no—
810#121—21no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121—41no—
815#121C2×D411yescharacteristic
816#120—41no—
817#120—41no—
818#120—41no—
819#120—41no—
820C4×Q8—21no—
821C4×Q8—21no—
822C4×Q8—21no—
823C4×Q8—21no—
824C4×Q8—21no—
825C4×Q8—21no—
826C4×Q8—21no—
827C4×Q8—21no—
828C4×Q8—21no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8—21no—
834C4×Q8—21no—
835C4×Q8—41no—
836C4×Q8—41no—
837C4×Q8C2×D411yescharacteristic
838C4×Q8C2411yescharacteristic
839C4×Q8C2411yescharacteristic
840C4×Q8C2411yescharacteristic
841C4×Q8C2411yescharacteristic
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—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4—41no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4—41no—
863C4×D4C2×D411yescharacteristic
864C4×D4C2×D411yescharacteristic
865C4×D4C2×D411yescharacteristic
866C4×D4C2411yescharacteristic
867C4×D4C2411yescharacteristic
868C4×D4C2411yescharacteristic
869C4×D4C2411yescharacteristic
870#117—21no—
871#117—21no—
872#117—21no—
873#117—21no—
874#117—21no—
875#117—21no—
876#117—21no—
877#117—41no—
878#117—41no—
879#117—41no—
880#117C2×D411yescharacteristic
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—41no—
888C2×C4⋊C4—41no—
889C2×C4⋊C4—41no—
890C2×C4⋊C4C2×D411yescharacteristic
891C2×C22⋊C4—21no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C42—21no—
895C2×C42C2411yescharacteristic
896#107—21no—
897#107—21no—
898#107—21no—
899#107—21no—
900#107—21no—
901#107—21no—
902#107—21no—
903#107—21no—
904#107—41no—
905#107—41no—
906#107—41no—
907#107C2×D411yescharacteristic
908#107C2×D411yescharacteristic
909#106—21no—
910#106—21no—
911#106—21no—
912#106—21no—
913#106—21no—
914#106—21no—
915#106—21no—
916#106—21no—
917#106—21no—
918#106—21no—
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—21no—
924#106—21no—
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#103—21no—
982#103—21no—
983#103—21no—
984#103—21no—
985#103—21no—
986#103—21no—
987#103—21no—
988#103—21no—
989#103—41no—
990#103C2×D411yescharacteristic
991#103C2×D411yescharacteristic
992#103C2×D411yescharacteristic
993#103C2×D411yescharacteristic
994#103C2×D411yescharacteristic
995#103C2×D411yescharacteristic
996#103C2×D411yescharacteristic
997#103C2×D411yescharacteristic
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—21no—
1012#102—41no—
1013#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—
1040C4×C8—21no—
1041C4×C8—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—22no—
1055#41—22no—
1056#41—42no—
1057#41—42no—
1058#41—42no—
1059#41—81no—
1060#41—81no—
1061#41—84no—
1062#41—81no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—84no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—41no—
1077C2×Q8—41no—
1078C2×Q8—41no—
1079C2×Q8—41no—
1080C2×Q8—41no—
1081C2×Q8—41no—
1082C2×Q8—42no—
1083C2×Q8—81no—
1084C2×Q8—81no—
1085C2×Q8—81no—
1086C2×Q8—81no—
1087C2×Q8—81no—
1088C2×Q8—81no—
1089C2×Q8—81no—
1090C2×Q8—81no—
1091C2×Q8—81no—
1092C2×Q8C22×D411yescharacteristic
1093C2×Q8C22×D411yescharacteristic
1094C2×Q8C22×D411yescharacteristic
1095C2×Q8C22×D411yescharacteristic
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—84no—
1117C2×D4C22×D411yescharacteristic
1118C2×D4C22×D411yescharacteristic
1119C2×D4C22×D411yescharacteristic
1120C2×D4C22×D411yescharacteristic
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—81no—
1142C22×C4—81no—
1143C22×C4—84no—
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D411yescharacteristic
1146C22×C4H(5,𝔽2)11yescharacteristic
1147Q16—22no—
1148Q16—42no—
1149Q16—42no—
1150Q16—81no—
1151Q16—81no—
1152Q16—81no—
1153Q16—81no—
1154Q16—81no—
1155SD16—22no—
1156SD16—22no—
1157SD16—41no—
1158SD16—41no—
1159SD16—41no—
1160SD16—41no—
1161SD16—42no—
1162SD16—42no—
1163SD16—42no—
1164SD16—42no—
1165SD16—81no—
1166SD16—81no—
1167SD16—81no—
1168SD16—81no—
1169SD16—81no—
1170SD16—81no—
1171SD16—82no—
1172SD16—81no—
1173SD16—81no—
1174SD16—81no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178D8—22no—
1179D8—81no—
1180M16—42no—
1181M16—81no—
1182M16—81no—
1183M16—81no—
1184M16—81no—
1185M16—81no—
1186M16—81no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—81no—
1198C2×C8—81no—
1199C2×C8—81no—
1200C2×C8—81no—
1201C2×C8C22×D411yescharacteristic
1202C2×C8C22×D411yescharacteristic
1203C2×C8C22×D411yescharacteristic
1204C2×C8C22×D411yescharacteristic
1205C2×C8C22×D411yescharacteristic
1206C2×C8C22×D411yescharacteristic
1207C2×C8C22×D411yescharacteristic
1208C2×C8C22×D411yescharacteristic
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
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—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
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⋊C4C22×D411yescharacteristic
1266C4⋊C4C22×D411yescharacteristic
1267C4⋊C4C22×D411yescharacteristic
1268C4⋊C4C22×D411yescharacteristic
1269C4⋊C4C22×D411yescharacteristic
1270C4⋊C4C22×D411yescharacteristic
1271C4⋊C4C22×D411yescharacteristic
1272C4⋊C4C22×D411yescharacteristic
1273C22⋊C4—21no—
1274C22⋊C4—21no—
1275C22⋊C4—21no—
1276C22⋊C4—21no—
1277C22⋊C4—21no—
1278C22⋊C4—21no—
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—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
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—
1305C42—21no—
1306C42—21no—
1307C42—21no—
1308C42—21no—
1309C42—21no—
1310C42—21no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C42C22×D411yescharacteristic
1320C42C22×D411yescharacteristic
1321C42H(5,𝔽2)11yescharacteristic
1322C42C2511yescharacteristic
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—41no—
1328C23—81no—
1329C23—81no—
1330C23—81no—
1331C23—82no—
1332C23—82no—
1333C23—161no—
1334C23D4211yescharacteristic
1335Q8—21no—
1336Q8—21no—
1337Q8—21no—
1338Q8—21no—
1339Q8—21no—
1340Q8—21no—
1341Q8—21no—
1342Q8—41no—
1343Q8—41no—
1344Q8—41no—
1345Q8—41no—
1346Q8—41no—
1347Q8—41no—
1348Q8—41no—
1349Q8—41no—
1350Q8—41no—
1351Q8—41no—
1352Q8—41no—
1353Q8—41no—
1354Q8—81no—
1355Q8—82no—
1356Q8—81no—
1357Q8—161no—
1358Q8—161no—
1359Q8—161no—
1360Q8—161no—
1361Q8—161no—
1362Q8#57712yes—
1363D4—24no—
1364D4—21no—
1365D4—21no—
1366D4—21no—
1367D4—21no—
1368D4—21no—
1369D4—21no—
1370D4—21no—
1371D4—41no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—81no—
1376D4—82no—
1377D4—81no—
1378D4—81no—
1379D4—82no—
1380D4—82no—
1381D4—82no—
1382D4—82no—
1383D4—82no—
1384D4—161no—
1385D4—161no—
1386D4#57712yes—
1387C2×C4—24no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—81no—
1421C2×C4—81no—
1422C2×C4—81no—
1423C2×C4—82no—
1424C2×C4—82no—
1425C2×C4—82no—
1426C2×C4—81no—
1427C2×C4—82no—
1428C2×C4—82no—
1429C2×C4—161no—
1430C2×C4—161no—
1431C2×C4—161no—
1432C2×C4—161no—
1433C2×C4—161no—
1434C2×C4—161no—
1435C2×C4D4211yescharacteristic
1436C2×C4D4211yescharacteristic
1437C2×C4D4211yescharacteristic
1438C2×C4C23×D411yescharacteristic
1439C2×C4C23×D411yescharacteristic
1440C2×C4C2×H(5,𝔽2)11yescharacteristic
1441C8—22no—
1442C8—21no—
1443C8—21no—
1444C8—21no—
1445C8—21no—
1446C8—21no—
1447C8—21no—
1448C8—21no—
1449C8—21no—
1450C8—41no—
1451C8—41no—
1452C8—41no—
1453C8—41no—
1454C8—41no—
1455C8—41no—
1456C8—41no—
1457C8—41no—
1458C8—41no—
1459C22—21no—
1460C22—22no—
1461C22—21no—
1462C22—21no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—162no—
1478C22—164no—
1479C22C2×D4211yescharacteristic
1480C4—21no—
1481C4—22no—
1482C4—21no—
1483C4—21no—
1484C4—21no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—81no—
1497C4—81no—
1498C4—81no—
1499C4—81no—
1500C4—81no—
1501C4—81no—
1502C4—81no—
1503C4C2×#57711yescharacteristic
1504C4C2×#57711yescharacteristic
1505C4#358511yescharacteristic
1506C4#358611yescharacteristic
1507C2—41no—
1508C2—42no—
1509C2—81no—
1510C2—81no—
1511C2—81no—
1512C2—161no—
1513C2#6105011yescharacteristic
1514C2#6106211yescharacteristic
1515C2#6111111yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
prime radical#61589C2
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. #62189C2semidirect
2. #61948C2semidirect
3. #61858C2semidirect
5. #20204C2semidirect
6. #20190C2semidirect
7. #20184C2semidirect
8. #20178C2semidirect
9. #20109C2semidirect
10. #20089C2semidirect
11. #20073C2semidirect
12. #20045C2semidirect
13. #19920C2semidirect
14. #19914C2semidirect
15. #19897C2semidirect
16. #19890C2semidirect
17. #19831C2semidirect
18. #19821C2semidirect
19. #19808C2semidirect
20. #19805C2semidirect
21. #19714C2semidirect
22. #19536C2semidirect
23. #19527C2semidirect
24. #19426C2semidirect
25. #19418C2semidirect
26. #18744C2semidirect
27. #18591C2semidirect
28. #18586C2semidirect
29. #18555C2semidirect
30. #17952C2semidirect
31. #17926C2semidirect
32. #3555C22semidirect
40. #3387C22semidirect
41. #3386C22semidirect
42. #3384C22semidirect
43. #3381C22semidirect
44. Q8×SD16C22semidirect
45. Q8×SD16C22semidirect
47. #3374C22semidirect
50. #3367C22semidirect
52. #3364C22semidirect
55. #3359C22semidirect
61. #3331C22semidirect
69. #3302C22semidirect
85. #3255C22semidirect
91. #3239C22semidirect
92. #3231C22semidirect
93. #3229C22semidirect
101. #3165C22semidirect
116. #2993C22semidirect
118. #2985C22semidirect
120. #1723C22semidirect
121. #1719C22semidirect
122. #1718C22semidirect
123. #1716C22semidirect
124. #1714C22semidirect
125. #1714C22semidirect
126. #1710C22semidirect
127. #1705C22semidirect
128. #1700C22semidirect
129. #1700C22semidirect
130. #1700C22semidirect
133. #1699C22semidirect
134. #1699C22semidirect
135. #1699C22semidirect
138. #1691C22semidirect
139. #1691C22semidirect
140. #1686C22semidirect
141. #1686C22semidirect
142. #1686C22semidirect
143. #1685C22semidirect
144. #1684C22semidirect
145. #1683C22semidirect
146. #1682C22semidirect
147. #1682C22semidirect
148. #1680C22semidirect
149. #1680C22semidirect
150. #1679C22semidirect
151. #1679C22semidirect
152. #1674C22semidirect
153. #1673C22semidirect
154. #1672C22semidirect
155. #1671C22semidirect
156. #1670C22semidirect
157. #1670C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
162. #1653C22semidirect
163. #1653C22semidirect
164. #1651C22semidirect
165. #1651C22semidirect
166. #1651C22semidirect
167. #1651C22semidirect
170. #1650C22semidirect
172. #1649C22semidirect
173. #1649C22semidirect
174. #1648C22semidirect
175. #1648C22semidirect
176. #1648C22semidirect
178. #1647C22semidirect
179. #1647C22semidirect
180. #1645C22semidirect
181. #1643C22semidirect
188. #1628C22semidirect
189. #1626C22semidirect
190. #1623C22semidirect
191. #1622C22semidirect
193. #1592C22semidirect
195. #1590C22semidirect
197. #1588C22semidirect
198. #1588C22semidirect
199. #1585C22semidirect
200. #1584C22semidirect
202. #1583C22semidirect
203. #1581C22semidirect
204. SD16⋊C8C22semidirect
205. SD16⋊C8C22semidirect
206. C8×Q16C22semidirect
207. C8×D8C22semidirect
208. #1572C22semidirect
209. #1571C22semidirect
211. #1552C22semidirect
212. #1546C22semidirect
213. #1542C22semidirect
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
#621892
#619482
#618582
#615892
#202042
#201902
#201842
#201782
#201092
#200892
#200732
#200452
#199202
#199142
#198972
#198902
#198312
#198212
#198082
#198052
#197142
#195362
#195272
#194262
#194182
#187442
#185912
#185862
#185552
#179522
#179262