Finite Group Databasebeta

← #6366913

Subgroups — #6366913

Order 512.

1654 conjugacy classes of subgroups.

The subgroup lattice has 1571 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62205C211yesmaximal, characteristic, complemented
2#62052C211yesmaximal, characteristic, complemented
3#61907C211yesmaximal, characteristic, complemented
4#61605C211yesmaximal, characteristic, complemented
5#20283C211yesmaximal, characteristic, complemented
6#20270C211yesmaximal, characteristic, complemented
7#20260C211yesmaximal, characteristic, complemented
8#20253C211yesmaximal, characteristic, complemented
9#20195C211yesmaximal, characteristic, complemented
10#20192C211yesmaximal, characteristic, complemented
11#20189C211yesmaximal, characteristic, complemented
12#20170C211yesmaximal, characteristic, complemented
13#19868C211yesmaximal, characteristic, complemented
14#19867C211yesmaximal, characteristic, complemented
15#19828C211yesmaximal, characteristic, complemented
16#19804C211yesmaximal, characteristic, complemented
17#19792C211yesmaximal, characteristic, complemented
18#19785C211yesmaximal, characteristic, complemented
19#19783C211yesmaximal, characteristic, complemented
20#19770C211yesmaximal, characteristic, complemented
21#19701C211yesmaximal, characteristic, complemented
22#19582C211yesmaximal, characteristic, complemented
23#19582C211yesmaximal, characteristic, complemented
24#19469C211yesmaximal, characteristic, complemented
25#19462C211yesmaximal, characteristic, complemented
26#18694C211yesmaximal, characteristic, complemented
27#18619C211yesmaximal, characteristic, complemented
28#18618C211yesmaximal, characteristic, complemented
29C2×#1642C211yesmaximal, characteristic, complemented
30#18023C211yesmaximal, characteristic, complemented
31#18020C211yesmaximal, characteristic, complemented
32#3552C2211yescharacteristic
33#3522C2211yescharacteristic, complemented
34#3519C2211yescharacteristic
35C2×#550C2211yescharacteristic
36#3399—21no—
37#3399—21no—
38#3399C2211yescharacteristic
39#3399C2211yescharacteristic, complemented
40#3397C2211yescharacteristic, complemented
41#3392C2211yescharacteristic, complemented
42#3391C2211yescharacteristic
43#3391C2211yescharacteristic, complemented
44#3387C2211yescharacteristic, complemented
45Q8×SD16C2211yescharacteristic, complemented
46#3373C2211yescharacteristic, complemented
47#3372C2211yescharacteristic, complemented
48#3366—21no—
49#3366—21no—
50#3366C2211yescharacteristic
51#3366C2211yescharacteristic, complemented
52#3365C2211yescharacteristic, complemented
53#3362C2211yescharacteristic
54#3362C2211yescharacteristic, complemented
55#3360C2211yescharacteristic, complemented
56#3356C2211yescharacteristic, complemented
57#3345—21no—
58#3335—21no—
59#3335C2211yescharacteristic, complemented
60#3333C2211yescharacteristic
61#3333C2211yescharacteristic
62#3332C2211yescharacteristic, complemented
63#3329C2211yescharacteristic, complemented
64#3320—21no—
65#3316—21no—
66#3309—21no—
67#3309—21no—
68#3305C2211yescharacteristic
69#3305C2211yescharacteristic
70#3304C2211yescharacteristic, complemented
71#3303C2211yescharacteristic, complemented
72#3301—21no—
73#3301—21no—
74#3287C2211yescharacteristic
75#3287C2211yescharacteristic
76D4×SD16—21no—
77D4×SD16C2211yescharacteristic, complemented
78#3274C2211yescharacteristic
79#3274C2211yescharacteristic
80#3272C2211yescharacteristic, complemented
81#3268—21no—
82#3268—21no—
83#3265—21no—
84#3263—21no—
85#3260—21no—
86#3247C2211yescharacteristic
87#3247C2211yescharacteristic
88#3244—21no—
89#3227C2211yescharacteristic, complemented
90#3221—21no—
91#3217—21no—
92#3217C2211yescharacteristic
93#3217C2211yescharacteristic, complemented
94#3206C2211yescharacteristic
95#3205—21no—
96#3205C2211yescharacteristic
97#3205C2211yescharacteristic, complemented
98#3194—21no—
99#3186—21no—
100#3147C2211yescharacteristic
101C2×#486C2211yescharacteristic, complemented
102#3125—21no—
103#3123—21no—
104#3112C2211yescharacteristic
105#3109—21no—
106#3109C2211yescharacteristic
107#3108C2211yescharacteristic
108#3105—21no—
109#3105C2211yescharacteristic
110#3084—21no—
111C2×#475C2211yescharacteristic, complemented
112#3042—21no—
113C2×#461C2211yescharacteristic
114#3006—21no—
115#3002—21no—
116#2994C2211yescharacteristic
117#2994C2211yescharacteristic, complemented
118#2984C2211yescharacteristic, complemented
119#2974C2211yescharacteristic
120#1721C2211yescharacteristic, complemented
121#1721C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1720C2211yescharacteristic, complemented
124#1717C2211yescharacteristic, complemented
125#1717C2211yescharacteristic, complemented
126#1715C2211yescharacteristic, complemented
127#1715C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1704C2211yescharacteristic, complemented
130#1701C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1698C2211yescharacteristic, complemented
133#1698C2211yescharacteristic, complemented
134#1697C2211yescharacteristic, complemented
135#1697C2211yescharacteristic, complemented
136#1691C2211yescharacteristic, complemented
137#1691C2211yescharacteristic, complemented
138#1688C2211yescharacteristic, complemented
139#1688C2211yescharacteristic, complemented
140#1687C2211yescharacteristic, complemented
141#1687C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1686C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1684C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1678C2211yescharacteristic, complemented
149#1678C2211yescharacteristic, complemented
150#1677C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1671C2211yescharacteristic, complemented
153#1671C2211yescharacteristic, complemented
154#1668C2211yescharacteristic, complemented
155#1668C2211yescharacteristic, complemented
156#1667C2211yescharacteristic, complemented
157#1667C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1666C2211yescharacteristic, complemented
160#1642C2211yescharacteristic
161#1642C2211yescharacteristic
162#1642C2211yescharacteristic
163#1642C2211yescharacteristic
164#1642C2211yescharacteristic, complemented
165#1642C2211yescharacteristic, complemented
166#1642C2211yescharacteristic, complemented
167#1642C2211yescharacteristic, complemented
168#1634C2211yescharacteristic, complemented
169#1633C2211yescharacteristic, complemented
170#1632C2211yescharacteristic, complemented
171#1632C2211yescharacteristic, complemented
172#1631C2211yescharacteristic, complemented
173#1631C2211yescharacteristic, complemented
174#1630C2211yescharacteristic, complemented
175#1629C2211yescharacteristic, complemented
176#1628C2211yescharacteristic, complemented
177#1628C2211yescharacteristic, complemented
178#1627C2211yescharacteristic, complemented
179#1627C2211yescharacteristic, complemented
180#1626C2211yescharacteristic, complemented
181#1626C2211yescharacteristic, complemented
182#1625C2211yescharacteristic, complemented
183#1625C2211yescharacteristic, complemented
184#1624C2211yescharacteristic, complemented
185#1623C2211yescharacteristic, complemented
186#1622C2211yescharacteristic, complemented
187#1622C2211yescharacteristic, complemented
188#1621C2211yescharacteristic, complemented
189#1621C2211yescharacteristic, complemented
190#1620C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1593C2211yescharacteristic, complemented
194#1592C2211yescharacteristic, complemented
195#1592C2211yescharacteristic, complemented
196#1584C2211yescharacteristic, complemented
197#1584C2211yescharacteristic, complemented
198#1583C2211yescharacteristic, complemented
199#1583C2211yescharacteristic, complemented
200#1582C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1579C2211yescharacteristic, complemented
206SD16⋊C8C2211yescharacteristic, complemented
207SD16⋊C8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1573C2211yescharacteristic, complemented
210#1556C2211yescharacteristic, complemented
211#1551C2211yescharacteristic
212#1551C2211yescharacteristic, complemented
213C2×#331C2211yescharacteristic, complemented
214#1494C2211yescharacteristic
215#1494C2211yescharacteristic, complemented
216C2×Q8⋊C8C2211yescharacteristic, complemented
217C2×D4⋊C8C2211yescharacteristic
218#1452C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×#135—21no—
224C2×#135—21no—
225C2×#135—41no—
226C22×SD16—21no—
227C22×SD16—21no—
228#563—41no—
229#559—21no—
230#559C2311yescharacteristic
231Q82C2311yescharacteristic
232#557C2311yescharacteristic
233#556C2311yescharacteristic
234#555C2311yescharacteristic
235#554—21no—
236#554—21no—
237#554C2311yescharacteristic
238#554C2311yescharacteristic
239#553—21no—
240#553—21no—
241#553—21no—
242#550—21no—
243#550—21no—
244#550—21no—
245#550—21no—
246#550—41no—
247#550C2311yescharacteristic
248#550C2311yescharacteristic
249#550C2311yescharacteristic
250#550C2311yescharacteristic
251#550C2311yescharacteristic
252#550C2311yescharacteristic
253D4×Q8—21no—
254D4×Q8C2311yescharacteristic
255#548—21no—
256#548—21no—
257#547—21no—
258#547—41no—
259#547C2311yescharacteristic
260#546—21no—
261#546—41no—
262D42—21no—
263D42C2311yescharacteristic
264#544—21no—
265#542—21no—
266#542—21no—
267#542—41no—
268#541—21no—
269#540—21no—
270#539—41no—
271#538—41no—
272#536—21no—
273#532—21no—
274#532C2311yescharacteristic
275#532C2311yescharacteristic
276C2×C4⋊Q8C2311yescharacteristic
277C2×#127—21no—
278C2×#127C2311yescharacteristic
279#529—21no—
280#529C2311yescharacteristic
281#529C2311yescharacteristic
282#525—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—41no—
286#520—21no—
287#518—21no—
288C2×C4×Q8C2311yescharacteristic
289C2×C4×D4—21no—
290C2×C4×D4C2311yescharacteristic
291#501—21no—
292#498—21no—
293#498C2311yescharacteristic
294#498C2311yescharacteristic
295#496—21no—
296#496—21no—
297#496—21no—
298#496—21no—
299#496—21no—
300#495—41no—
301#494C2311yescharacteristic
302#493—21no—
303#493—21no—
304#493C2311yescharacteristic
305#493C2311yescharacteristic
306#493C2311yescharacteristic
307#493C2311yescharacteristic
308#493C2311yescharacteristic
309#492—21no—
310#492C2311yescharacteristic
311#492C2311yescharacteristic
312#492C2311yescharacteristic
313#492C2311yescharacteristic
314#491—21no—
315#490—21no—
316#490—21no—
317#490—21no—
318#490—21no—
319#489—21no—
320#488—21no—
321#488—21no—
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#486—21no—
325#486—21no—
326#486—41no—
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#486C2311yescharacteristic
336#486C2311yescharacteristic
337#485—21no—
338#485—21no—
339#485—21no—
340#484D411yescharacteristic
341#483—21no—
342#483—21no—
343#483D411yescharacteristic
344#482—21no—
345#482—21no—
346#482—21no—
347#481—21no—
348#481—21no—
349#481—21no—
350#481—21no—
351#481—21no—
352#481D411yescharacteristic
353#480—21no—
354#480—21no—
355#480—21no—
356#480D411yescharacteristic
357#479—21no—
358#479—21no—
359#479—21no—
360#479D411yescharacteristic
361#479D411yescharacteristic
362#478—21no—
363#478—21no—
364#478—21no—
365#478—21no—
366#478—21no—
367#478D411yescharacteristic
368#478D411yescharacteristic
369#477C2311yescharacteristic
370#477C2311yescharacteristic
371#477C2311yescharacteristic
372#477C2311yescharacteristic
373#476—21no—
374#476—21no—
375#476—21no—
376#476—21no—
377#476—21no—
378#476—21no—
379#476C2311yescharacteristic
380#476C2311yescharacteristic
381#476C2311yescharacteristic
382#476C2311yescharacteristic
383#475—21no—
384#475—21no—
385#475—21no—
386#475—21no—
387#475C2311yescharacteristic
388#475C2311yescharacteristic
389#475C2311yescharacteristic
390#475C2311yescharacteristic
391#470—21no—
392#469—21no—
393#469—21no—
394#469—21no—
395#468—21no—
396#468—21no—
397#468—21no—
398#468—21no—
399#466—21no—
400#466—21no—
401#466—21no—
402#466—21no—
403#466—21no—
404#466—21no—
405#465—21no—
406#465—21no—
407#465—21no—
408#465—21no—
409#465—21no—
410#465—21no—
411#464—21no—
412#464D411yescharacteristic
413#464D411yescharacteristic
414#463—21no—
415#463—21no—
416#463—21no—
417#463—21no—
418#463—21no—
419#463—21no—
420#463—21no—
421#463D411yescharacteristic
422#463D411yescharacteristic
423#461—21no—
424#461—21no—
425#461—21no—
426#461—21no—
427#461—21no—
428#461—21no—
429#461C2311yescharacteristic
430#461C2311yescharacteristic
431#461C2311yescharacteristic
432#461C2311yescharacteristic
433#460—21no—
434#460—21no—
435#460—21no—
436#460—21no—
437#460C2311yescharacteristic
438#460C2311yescharacteristic
439#460C2311yescharacteristic
440#460C2311yescharacteristic
441#460C2311yescharacteristic
442#460C2311yescharacteristic
443#460C2311yescharacteristic
444#460C2311yescharacteristic
445#459—21no—
446#459—21no—
447#459—21no—
448#459—21no—
449#459—21no—
450#459—21no—
451#459—21no—
452#459—21no—
453#459—21no—
454#459—21no—
455#459—21no—
456#459—21no—
457#459C2311yescharacteristic
458#459C2311yescharacteristic
459#459C2311yescharacteristic
460#459C2311yescharacteristic
461#459C2311yescharacteristic
462#459C2311yescharacteristic
463#459C2311yescharacteristic
464#459C2311yescharacteristic
465#452—21no—
466#452—21no—
467#452—21no—
468#451D411yescharacteristic
469#450—21no—
470#450—21no—
471#450—21no—
472#450—21no—
473#450D411yescharacteristic
474#449—21no—
475#449—21no—
476#449—21no—
477#449—21no—
478#449—21no—
479#449—21no—
480#449—21no—
481#449—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#448—21no—
486#448—21no—
487#448—21no—
488#448—21no—
489#448—21no—
490#448D411yescharacteristic
491#447—21no—
492#447—21no—
493#447—21no—
494#447—21no—
495#447—21no—
496#447—21no—
497#447—21no—
498#447—21no—
499#447—21no—
500#447D411yescharacteristic
501#446—21no—
502#446—21no—
503#446C2311yescharacteristic
504#446C2311yescharacteristic
505#446C2311yescharacteristic
506#446C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508C8×Q8C2311yescharacteristic
509C8×Q8C2311yescharacteristic
510C8×Q8C2311yescharacteristic
511#442—21no—
512#442—21no—
513#442—21no—
514#442—21no—
515#442—21no—
516#442—21no—
517#442—21no—
518#441—21no—
519#440—21no—
520#440—21no—
521#440—21no—
522#440—21no—
523C4×Q16C2311yescharacteristic
524C4×Q16C2311yescharacteristic
525C4×SD16—21no—
526C4×SD16—21no—
527C4×SD16—21no—
528C4×SD16—21no—
529C4×SD16—21no—
530C4×SD16—21no—
531C4×SD16C2311yescharacteristic
532C4×SD16C2311yescharacteristic
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×D8—21no—
536C4×D8—21no—
537C4×D8C2311yescharacteristic
538C4×D8C2311yescharacteristic
539#436C2311yescharacteristic
540#436C2311yescharacteristic
541#436C2311yescharacteristic
542#436C2311yescharacteristic
543#435—21no—
544#435—21no—
545#435—21no—
546#435—21no—
547C8×D4—21no—
548C8×D4—21no—
549C8×D4C2311yescharacteristic
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552C8×D4C2311yescharacteristic
553#433—21no—
554#433—21no—
555#432—21no—
556#432C2311yescharacteristic
557#432C2311yescharacteristic
558#431—21no—
559#431C2311yescharacteristic
560#431C2311yescharacteristic
561#428—21no—
562C2×#106—21no—
563C2×#106—21no—
564#424—21no—
565#424—21no—
566C2×C4⋊C8C2311yescharacteristic
567C2×C4⋊C8C2311yescharacteristic
568#419—21no—
569#417—21no—
570#417—21no—
571#417—21no—
572#416—21no—
573#416—21no—
574#416—21no—
575#416—21no—
576C2×#103—21no—
577C2×#103—21no—
578C2×#102—41no—
579#407—21no—
580C2×C22⋊C8—21no—
581C2×C4×C8C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#331C2311yescharacteristic
599#331C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
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
625#322C2311yescharacteristic
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—41no—
638C2×#41—82no—
639C2×#41—82no—
640C22×Q8—21no—
641C22×Q8—21no—
642C22×Q8C2×D411yescharacteristic
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—41no—
649C22×D4—41no—
650C22×D4—41no—
651C22×D4C2×D411yescharacteristic
652C23×C4—21no—
653C23×C4—41no—
654AGL(1,ℤ/8)—82no—
655AGL(1,ℤ/8)—82no—
656AGL(1,ℤ/8)—82no—
657#135—84no—
658#135—82no—
659#135—82no—
660C2×Q16—41no—
661C2×Q16C2×D411yescharacteristic
662C2×Q16C2×D411yescharacteristic
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—21no—
679C2×SD16—41no—
680C2×SD16—41no—
681C2×SD16—82no—
682C2×SD16—82no—
683C2×SD16C2×D411yescharacteristic
684C2×SD16C2×D411yescharacteristic
685C2×SD16C2×D411yescharacteristic
686C2×SD16C2×D411yescharacteristic
687C2×D8—21no—
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—21no—
695C2×D8—21no—
696C2×D8—21no—
697C2×D8—21no—
698C2×D8—21no—
699C2×D8—21no—
700C2×D8—21no—
701C2×D8—21no—
702C2×D8—21no—
703C2×D8—41no—
704C2×D8C2×D411yescharacteristic
705C2×D8C2×D411yescharacteristic
706C2×M16—21no—
707C2×M16—21no—
708C2×M16—21no—
709C2×M16—21no—
710C22×C8—21no—
711C22×C8—21no—
712C22×C8—21no—
713C22×C8—21no—
714C22×C8—21no—
715C22×C8—21no—
716C22×C8—21no—
717C4⋊Q8—21no—
718C4⋊Q8—21no—
719C4⋊Q8—21no—
720C4⋊Q8—21no—
721C4⋊Q8—21no—
722C4⋊Q8—21no—
723C4⋊Q8—21no—
724C4⋊Q8—41no—
725C4⋊Q8—41no—
726C4⋊Q8C2411yescharacteristic
727C4⋊Q8C2411yescharacteristic
728C4⋊Q8C2411yescharacteristic
729C4⋊Q8C2411yescharacteristic
730#127—21no—
731#127—21no—
732#127—21no—
733#127—21no—
734#127—21no—
735#127—21no—
736#127—21no—
737#127—21no—
738#127—21no—
739#127—41no—
740#127—41no—
741#127C2411yescharacteristic
742#127C2411yescharacteristic
743#127C2411yescharacteristic
744#127C2411yescharacteristic
745#126—21no—
746#126—21no—
747#126—41no—
748#126—41no—
749#126—41no—
750#126—41no—
751#126—41no—
752#125—21no—
753#125—21no—
754#125—21no—
755#125—41no—
756#125—41no—
757#125—41no—
758#125C2×D411yescharacteristic
759#125C2×D411yescharacteristic
760#124—21no—
761#124—21no—
762#124—21no—
763#124—21no—
764#124—21no—
765#124—41no—
766#124—41no—
767#124—41no—
768#124—41no—
769#124C2×D411yescharacteristic
770#124C2×D411yescharacteristic
771#123—21no—
772#123—21no—
773#123—41no—
774#123—41no—
775#123—41no—
776#123—41no—
777#123—41no—
778#123—41no—
779#123—41no—
780#123—41no—
781#123—41no—
782#123—41no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
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⋊Q8C2×D411yescharacteristic
800C22⋊Q8C2×D411yescharacteristic
801#121—21no—
802#121—21no—
803#121—21no—
804#121—21no—
805#121—21no—
806#121—21no—
807#121—21no—
808#121—21no—
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—41no—
817#121—41no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121—41no—
830#121—41no—
831#121—41no—
832#121—41no—
833#121—41no—
834#121C2×D411yescharacteristic
835#121C2×D411yescharacteristic
836#120—41no—
837#120—41no—
838#120—41no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8—21no—
843C4×Q8—21no—
844C4×Q8—21no—
845C4×Q8—21no—
846C4×Q8C2×D411yescharacteristic
847C4×Q8C2×D411yescharacteristic
848C4×Q8C2411yescharacteristic
849C4×Q8C2411yescharacteristic
850C4×Q8C2411yescharacteristic
851C4×Q8C2411yescharacteristic
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—21no—
866C4×D4—21no—
867C4×D4—21no—
868C4×D4—21no—
869C4×D4—21no—
870C4×D4—21no—
871C4×D4—41no—
872C4×D4—41no—
873C4×D4—41no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4—41no—
878C4×D4—41no—
879C4×D4—41no—
880C4×D4—41no—
881C4×D4C2×D411yescharacteristic
882C4×D4C2×D411yescharacteristic
883C4×D4C2411yescharacteristic
884C4×D4C2411yescharacteristic
885C4×D4C2411yescharacteristic
886C4×D4C2411yescharacteristic
887#117—21no—
888#117—21no—
889#117—21no—
890#117—21no—
891#117—21no—
892#117—41no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—41no—
900C2×C4⋊C4C2×D411yescharacteristic
901C2×C4⋊C4C2×D411yescharacteristic
902C2×C22⋊C4—21no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C42—21no—
907C2×C42C2411yescharacteristic
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107C2×D411yescharacteristic
913#107C2×D411yescharacteristic
914#107C2×D411yescharacteristic
915#107C2×D411yescharacteristic
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—21no—
926#106—21no—
927#106—21no—
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930#106C2×D411yescharacteristic
931#106C2×D411yescharacteristic
932C4⋊C8—21no—
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⋊C8C2×D411yescharacteristic
943C4⋊C8C2×D411yescharacteristic
944C4⋊C8C2×D411yescharacteristic
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103C2×D411yescharacteristic
971#103C2×D411yescharacteristic
972#103C2×D411yescharacteristic
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#102—21no—
979#102—21no—
980#102—21no—
981#102—21no—
982#102—21no—
983#102—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—41no—
1011#102—41no—
1012#102—41no—
1013#102—41no—
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
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⋊C8C2×D411yescharacteristic
1033C22⋊C8C2×D411yescharacteristic
1034C22⋊C8C2×D411yescharacteristic
1035C22⋊C8C2×D411yescharacteristic
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×C8—21no—
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C24—21no—
1054C24—41no—
1055C24—41no—
1056#41—42no—
1057#41—42no—
1058#41—42no—
1059#41—42no—
1060#41—42no—
1061#41—82no—
1062#41—82no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—84no—
1073#41—84no—
1074#41—162no—
1075C2×Q8—21no—
1076C2×Q8—22no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—41no—
1082C2×Q8—41no—
1083C2×Q8—41no—
1084C2×Q8—41no—
1085C2×Q8—81no—
1086C2×Q8—81no—
1087C2×Q8—81no—
1088C2×Q8—81no—
1089C2×Q8C22×D411yescharacteristic
1090C2×Q8C22×D411yescharacteristic
1091C2×Q8C22×D411yescharacteristic
1092C2×Q8C22×D411yescharacteristic
1093C2×D4—21no—
1094C2×D4—21no—
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—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—41no—
1115C2×D4—41no—
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—42no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—82no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—84no—
1141C2×D4—162no—
1142C2×D4—162no—
1143C2×D4C22×D411yescharacteristic
1144C2×D4C22×D411yescharacteristic
1145C2×D4C22×D411yescharacteristic
1146C2×D4C22×D411yescharacteristic
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—81no—
1171C22×C4—81no—
1172C22×C4—84no—
1173C22×C4C22×D411yescharacteristic
1174C22×C4C22×D411yescharacteristic
1175C22×C4H(5,𝔽2)11yescharacteristic
1176Q16—22no—
1177Q16—41no—
1178Q16—82no—
1179SD16—22no—
1180SD16—41no—
1181SD16—41no—
1182SD16—41no—
1183SD16—42no—
1184SD16—42no—
1185SD16—42no—
1186SD16—42no—
1187SD16—81no—
1188SD16—81no—
1189SD16—81no—
1190SD16—81no—
1191SD16—81no—
1192SD16—81no—
1193SD16—81no—
1194SD16—81no—
1195SD16—81no—
1196SD16—81no—
1197SD16—81no—
1198SD16—81no—
1199SD16—82no—
1200SD16—82no—
1201D8—41no—
1202D8—41no—
1203D8—81no—
1204D8—81no—
1205D8—81no—
1206D8—81no—
1207D8—81no—
1208D8—81no—
1209D8—81no—
1210D8—81no—
1211D8—81no—
1212D8—81no—
1213D8—81no—
1214D8—81no—
1215D8—81no—
1216D8—81no—
1217D8—81no—
1218D8—81no—
1219D8—82no—
1220M16—81no—
1221M16—81no—
1222M16—81no—
1223M16—81no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—42no—
1235C2×C8—81no—
1236C2×C8—81no—
1237C2×C8—81no—
1238C2×C8—81no—
1239C2×C8—81no—
1240C2×C8—81no—
1241C2×C8C22×D411yescharacteristic
1242C2×C8C22×D411yescharacteristic
1243C2×C8C22×D411yescharacteristic
1244C2×C8C22×D411yescharacteristic
1245C2×C8C22×D411yescharacteristic
1246C2×C8C22×D411yescharacteristic
1247C2×C8C22×D411yescharacteristic
1248C2×C8C22×D411yescharacteristic
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4C22×D411yescharacteristic
1286C4⋊C4C22×D411yescharacteristic
1287C4⋊C4C22×D411yescharacteristic
1288C4⋊C4C22×D411yescharacteristic
1289C4⋊C4C22×D411yescharacteristic
1290C4⋊C4C22×D411yescharacteristic
1291C4⋊C4C22×D411yescharacteristic
1292C4⋊C4C22×D411yescharacteristic
1293C22⋊C4—21no—
1294C22⋊C4—21no—
1295C22⋊C4—21no—
1296C22⋊C4—21no—
1297C22⋊C4—21no—
1298C22⋊C4—21no—
1299C22⋊C4—21no—
1300C22⋊C4—21no—
1301C22⋊C4—21no—
1302C22⋊C4—21no—
1303C22⋊C4—21no—
1304C22⋊C4—21no—
1305C22⋊C4—21no—
1306C22⋊C4—21no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C42—21no—
1330C42—21no—
1331C42—21no—
1332C42—21no—
1333C42—21no—
1334C42—21no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42C22×D411yescharacteristic
1340C42C22×D411yescharacteristic
1341C42H(5,𝔽2)11yescharacteristic
1342C42C2511yescharacteristic
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—42no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—81no—
1353C23—81no—
1354C23—82no—
1355C23—82no—
1356C23—82no—
1357C23—82no—
1358C23—161no—
1359C23—161no—
1360C23D4211yescharacteristic
1361Q8—21no—
1362Q8—21no—
1363Q8—21no—
1364Q8—21no—
1365Q8—21no—
1366Q8—21no—
1367Q8—21no—
1368Q8—42no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—41no—
1373Q8—81no—
1374Q8—81no—
1375Q8—161no—
1376Q8—161no—
1377Q8—161no—
1378Q8#57712yes—
1379D4—21no—
1380D4—21no—
1381D4—21no—
1382D4—21no—
1383D4—21no—
1384D4—21no—
1385D4—21no—
1386D4—21no—
1387D4—42no—
1388D4—42no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—81no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—81no—
1410D4—81no—
1411D4—81no—
1412D4—81no—
1413D4—82no—
1414D4—82no—
1415D4—82no—
1416D4—82no—
1417D4—82no—
1418D4—82no—
1419D4—82no—
1420D4—161no—
1421D4—161no—
1422D4—161no—
1423D4—161no—
1424D4—161no—
1425D4—161no—
1426D4—161no—
1427D4—161no—
1428D4—161no—
1429D4—161no—
1430D4—161no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—42no—
1449C2×C4—42no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—81no—
1463C2×C4—81no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—81no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—161no—
1471C2×C4—161no—
1472C2×C4—161no—
1473C2×C4—161no—
1474C2×C4—161no—
1475C2×C4—161no—
1476C2×C4—161no—
1477C2×C4—161no—
1478C2×C4—161no—
1479C2×C4D4211yescharacteristic
1480C2×C4D4211yescharacteristic
1481C2×C4D4211yescharacteristic
1482C2×C4C23×D411yescharacteristic
1483C2×C4C23×D411yescharacteristic
1484C2×C4C2×H(5,𝔽2)11yescharacteristic
1485C8—21no—
1486C8—21no—
1487C8—21no—
1488C8—21no—
1489C8—21no—
1490C8—21no—
1491C8—21no—
1492C8—21no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C8—41no—
1497C8—41no—
1498C8—41no—
1499C8—41no—
1500C8—41no—
1501C8—41no—
1502C8—41no—
1503C22—21no—
1504C22—21no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—162no—
1530C22—164no—
1531C22—322no—
1532C22#328812yes—
1533C22C2×D4211yescharacteristic
1534C4—21no—
1535C4—22no—
1536C4—21no—
1537C4—21no—
1538C4—21no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—81no—
1551C4—81no—
1552C4—81no—
1553C4—81no—
1554C4C2×#57711yescharacteristic
1555C4#358411yescharacteristic
1556C4#358511yescharacteristic
1557C4#358511yescharacteristic
1558C2—22no—
1559C2—81no—
1560C2—81no—
1561C2—81no—
1562C2—81no—
1563C2—161no—
1564C2—161no—
1565C2—161no—
1566C2—161no—
1567C2#6107111yescharacteristic
1568C2#6107711yescharacteristic
1569C2C2×#328811yescharacteristic
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. #62205C2semidirect
2. #62052C2semidirect
3. #61907C2semidirect
4. #61605C2semidirect
5. #20283C2semidirect
6. #20270C2semidirect
7. #20260C2semidirect
8. #20253C2semidirect
9. #20195C2semidirect
10. #20192C2semidirect
11. #20189C2semidirect
12. #20170C2semidirect
13. #19868C2semidirect
14. #19867C2semidirect
15. #19828C2semidirect
16. #19804C2semidirect
17. #19792C2semidirect
18. #19785C2semidirect
19. #19783C2semidirect
20. #19770C2semidirect
21. #19701C2semidirect
22. #19582C2semidirect
23. #19582C2semidirect
24. #19469C2semidirect
25. #19462C2semidirect
26. #18694C2semidirect
27. #18619C2semidirect
28. #18618C2semidirect
29. C2×#1642C2semidirect
30. #18023C2semidirect
31. #18020C2semidirect
33. #3522C22semidirect
39. #3399C22semidirect
40. #3397C22semidirect
41. #3392C22semidirect
43. #3391C22semidirect
44. #3387C22semidirect
45. Q8×SD16C22semidirect
46. #3373C22semidirect
47. #3372C22semidirect
51. #3366C22semidirect
52. #3365C22semidirect
54. #3362C22semidirect
55. #3360C22semidirect
56. #3356C22semidirect
59. #3335C22semidirect
62. #3332C22semidirect
63. #3329C22semidirect
70. #3304C22semidirect
71. #3303C22semidirect
77. D4×SD16C22semidirect
80. #3272C22semidirect
89. #3227C22semidirect
93. #3217C22semidirect
97. #3205C22semidirect
101. C2×#486C22semidirect
111. C2×#475C22semidirect
117. #2994C22semidirect
118. #2984C22semidirect
120. #1721C22semidirect
121. #1721C22semidirect
122. #1720C22semidirect
123. #1720C22semidirect
124. #1717C22semidirect
125. #1717C22semidirect
126. #1715C22semidirect
127. #1715C22semidirect
128. #1704C22semidirect
129. #1704C22semidirect
130. #1701C22semidirect
131. #1701C22semidirect
132. #1698C22semidirect
133. #1698C22semidirect
134. #1697C22semidirect
135. #1697C22semidirect
136. #1691C22semidirect
137. #1691C22semidirect
138. #1688C22semidirect
139. #1688C22semidirect
140. #1687C22semidirect
141. #1687C22semidirect
142. #1686C22semidirect
143. #1686C22semidirect
144. #1684C22semidirect
145. #1684C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1678C22semidirect
149. #1678C22semidirect
150. #1677C22semidirect
151. #1677C22semidirect
152. #1671C22semidirect
153. #1671C22semidirect
154. #1668C22semidirect
155. #1668C22semidirect
156. #1667C22semidirect
157. #1667C22semidirect
158. #1666C22semidirect
159. #1666C22semidirect
164. #1642C22semidirect
165. #1642C22semidirect
166. #1642C22semidirect
167. #1642C22semidirect
168. #1634C22semidirect
169. #1633C22semidirect
170. #1632C22semidirect
171. #1632C22semidirect
172. #1631C22semidirect
173. #1631C22semidirect
174. #1630C22semidirect
175. #1629C22semidirect
176. #1628C22semidirect
177. #1628C22semidirect
178. #1627C22semidirect
179. #1627C22semidirect
180. #1626C22semidirect
181. #1626C22semidirect
182. #1625C22semidirect
183. #1625C22semidirect
184. #1624C22semidirect
185. #1623C22semidirect
186. #1622C22semidirect
187. #1622C22semidirect
188. #1621C22semidirect
189. #1621C22semidirect
190. #1620C22semidirect
191. #1619C22semidirect
192. #1594C22semidirect
193. #1593C22semidirect
194. #1592C22semidirect
195. #1592C22semidirect
196. #1584C22semidirect
197. #1584C22semidirect
198. #1583C22semidirect
199. #1583C22semidirect
200. #1582C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. #1579C22semidirect
206. SD16⋊C8C22semidirect
207. SD16⋊C8C22semidirect
208. #1573C22semidirect
209. #1573C22semidirect
210. #1556C22semidirect
212. #1551C22semidirect
213. C2×#331C22semidirect
215. #1494C22semidirect
216. C2×Q8⋊C8C22semidirect
218. #1452C22semidirect

Maximal subgroups

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

subgroupindex
#622052
#620522
#619072
#616052
#202832
#202702
#202602
#202532
#201952
#201922
#201892
#201702
#198682
#198672
#198282
#198042
#197922
#197852
#197832
#197702
#197012
#195822
#194692
#194622
#186942
#186192
#186182
C2×#16422
#180232
#180202