Finite Group Databasebeta

← #6366856

Subgroups — #6366856

Order 512.

1565 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62432C211yesmaximal, characteristic, complemented
2#62262C211yesmaximal, characteristic, complemented
3#62201C211yesmaximal, characteristic, complemented
4#62199C211yesmaximal, characteristic, complemented
5#20267C211yesmaximal, characteristic, complemented
6#20263C211yesmaximal, characteristic, complemented
7#20261C211yesmaximal, characteristic, complemented
8#20257C211yesmaximal, characteristic, complemented
9#20250C211yesmaximal, characteristic, complemented
10#20238C211yesmaximal, characteristic, complemented
11#20218C211yesmaximal, characteristic, complemented
12#20206C211yesmaximal, characteristic, complemented
13#20171C211yesmaximal, characteristic, complemented
14#20167C211yesmaximal, characteristic, complemented
15#20165C211yesmaximal, characteristic, complemented
16#20161C211yesmaximal, characteristic, complemented
17#19881C211yesmaximal, characteristic, complemented
18#19878C211yesmaximal, characteristic, complemented
19#19761C211yesmaximal, characteristic, complemented
20#19758C211yesmaximal, characteristic, complemented
21#19684C211yesmaximal, characteristic, complemented
22#19590C211yesmaximal, characteristic, complemented
23#19589C211yesmaximal, characteristic, complemented
24#19221C211yesmaximal, characteristic, complemented
25C2×#1689C211yesmaximal, characteristic, complemented
26#18733C211yesmaximal, characteristic, complemented
27#18726C211yesmaximal, characteristic, complemented
28#18587C211yesmaximal, characteristic, complemented
29#18571C211yesmaximal, characteristic, complemented
30#18093C211yesmaximal, characteristic, complemented
31#17938C211yesmaximal, characteristic, complemented
32#3552C2211yescharacteristic
33#3552C2211yescharacteristic, complemented
34#3520C2211yescharacteristic
35#3519C2211yescharacteristic
36#3398C2211yescharacteristic, complemented
37#3398C2211yescharacteristic, complemented
38#3395C2211yescharacteristic, complemented
39#3393C2211yescharacteristic, complemented
40#3386C2211yescharacteristic, complemented
41#3384C2211yescharacteristic
42#3381C2211yescharacteristic
43Q8×D8C2211yescharacteristic, complemented
44#3368C2211yescharacteristic
45#3367C2211yescharacteristic
46#3364C2211yescharacteristic
47#3358C2211yescharacteristic
48#3356C2211yescharacteristic
49#3354C2211yescharacteristic
50#3354C2211yescharacteristic
51#3353C2211yescharacteristic
52#3351—21no—
53#3346—21no—
54#3346—21no—
55#3340C2211yescharacteristic
56#3339—21no—
57#3338—21no—
58#3334C2211yescharacteristic
59#3332C2211yescharacteristic
60#3331C2211yescharacteristic
61#3330C2211yescharacteristic, complemented
62#3329C2211yescharacteristic
63#3326—21no—
64#3324C2211yescharacteristic
65#3324C2211yescharacteristic
66#3323—21no—
67#3318—21no—
68#3314—21no—
69#3302C2211yescharacteristic, complemented
70#3297—21no—
71#3295—21no—
72#3294C2211yescharacteristic
73D4×Q16—21no—
74D4×Q16C2211yescharacteristic, complemented
75#3285—21no—
76#3283C2211yescharacteristic, complemented
77#3278C2211yescharacteristic
78#3276C2211yescharacteristic, complemented
79#3276C2211yescharacteristic, complemented
80#3275—21no—
81#3272C2211yescharacteristic
82#3270—21no—
83#3270—21no—
84#3262—21no—
85#3257—21no—
86#3248C2211yescharacteristic
87#3248C2211yescharacteristic, complemented
88#3247C2211yescharacteristic
89#3247C2211yescharacteristic
90#3243—21no—
91#3241—21no—
92#3230C2211yescharacteristic, complemented
93#3227C2211yescharacteristic
94#3223—21no—
95#3223—21no—
96#3218C2211yescharacteristic
97#3218C2211yescharacteristic, complemented
98#3191—21no—
99#3187—21no—
100#3177—21no—
101#3168C2211yescharacteristic
102#3167C2211yescharacteristic
103#3165C2211yescharacteristic, complemented
104#3156—21no—
105C2×#494C2211yescharacteristic, complemented
106#3141C2211yescharacteristic
107#3124—21no—
108#3118—21no—
109#3105C2211yescharacteristic
110#3083—21no—
111#3081—21no—
112C2×#474C2211yescharacteristic
113C2×#474C2211yescharacteristic
114#3056—21no—
115#3055—21no—
116#2994C2211yescharacteristic
117#2994C2211yescharacteristic, complemented
118#2966C2211yescharacteristic, complemented
119C2×#436C2211yescharacteristic
120#1723C2211yescharacteristic, complemented
121#1723C2211yescharacteristic, complemented
122#1722C2211yescharacteristic, complemented
123#1722C2211yescharacteristic, complemented
124#1720C2211yescharacteristic, complemented
125#1720C2211yescharacteristic, complemented
126#1716C2211yescharacteristic, complemented
127#1716C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1694C2211yescharacteristic, complemented
137#1693C2211yescharacteristic, complemented
138#1692C2211yescharacteristic, complemented
139#1691C2211yescharacteristic, complemented
140#1689C2211yescharacteristic
141#1689C2211yescharacteristic
142#1689C2211yescharacteristic
143#1689C2211yescharacteristic
144#1689C2211yescharacteristic, complemented
145#1689C2211yescharacteristic, complemented
146#1689C2211yescharacteristic, complemented
147#1689C2211yescharacteristic, complemented
148#1682C2211yescharacteristic, complemented
149#1681C2211yescharacteristic, complemented
150#1680C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1674C2211yescharacteristic, complemented
153#1673C2211yescharacteristic, complemented
154#1672C2211yescharacteristic, complemented
155#1672C2211yescharacteristic, complemented
156#1671C2211yescharacteristic, complemented
157#1671C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1654C2211yescharacteristic, complemented
162#1654C2211yescharacteristic, complemented
163#1653C2211yescharacteristic, complemented
164#1652C2211yescharacteristic
165#1652C2211yescharacteristic
166#1652C2211yescharacteristic, complemented
167#1651C2211yescharacteristic, complemented
168#1650C2211yescharacteristic, complemented
169#1649C2211yescharacteristic, complemented
170#1649C2211yescharacteristic, complemented
171#1649C2211yescharacteristic, complemented
172#1648C2211yescharacteristic, complemented
173#1647C2211yescharacteristic
174#1647C2211yescharacteristic
175#1647C2211yescharacteristic, complemented
176#1646C2211yescharacteristic
177#1646C2211yescharacteristic
178#1644C2211yescharacteristic
179#1644C2211yescharacteristic
180#1641C2211yescharacteristic
181#1641C2211yescharacteristic
182#1639C2211yescharacteristic
183#1639C2211yescharacteristic
184#1638C2211yescharacteristic, complemented
185#1637C2211yescharacteristic, complemented
186#1636C2211yescharacteristic, complemented
187#1635C2211yescharacteristic, complemented
188#1628C2211yescharacteristic, complemented
189#1627C2211yescharacteristic, complemented
190#1626C2211yescharacteristic, complemented
191#1625C2211yescharacteristic, complemented
192#1594C2211yescharacteristic
193#1594C2211yescharacteristic, complemented
194#1594C2211yescharacteristic, complemented
195#1593C2211yescharacteristic, complemented
196#1592C2211yescharacteristic
197#1592C2211yescharacteristic, complemented
198#1583C2211yescharacteristic
199#1583C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1582C2211yescharacteristic, complemented
203#1582C2211yescharacteristic, complemented
204#1581C2211yescharacteristic
205#1581C2211yescharacteristic, complemented
206#1580C2211yescharacteristic, complemented
207#1579C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209C2×#334C2211yescharacteristic, complemented
210#1552C2211yescharacteristic, complemented
211#1551C2211yescharacteristic
212C2×#332C2211yescharacteristic, complemented
213C2×#332C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1483C2211yescharacteristic
216#1483C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218#1451C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×#137—21no—
221C2×#137—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×#135—21no—
224C22×Q16—21no—
225C22×Q16—21no—
226C22×Q16—21no—
227C22×M16—21no—
228#563—41no—
229#563—41no—
230#557C2311yescharacteristic
231#557C2311yescharacteristic
232#556C2311yescharacteristic
233#556C2311yescharacteristic
234#556C2311yescharacteristic
235#555C2311yescharacteristic
236#554—21no—
237#554—21no—
238#554—21no—
239#554C2311yescharacteristic
240#553—21no—
241#553—21no—
242#553—21no—
243#553—21no—
244#552—21no—
245#551—41no—
246#550C2311yescharacteristic
247D4×Q8—21no—
248D4×Q8—21no—
249D4×Q8C2311yescharacteristic
250D4×Q8C2311yescharacteristic
251D4×Q8C2311yescharacteristic
252#548—21no—
253#548—21no—
254#548—21no—
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#547C2311yescharacteristic
259#546—21no—
260#546—21no—
261#546—41no—
262D42—21no—
263D42C2311yescharacteristic
264#544—21no—
265#544—21no—
266#542—21no—
267#542—21no—
268#542—21no—
269#541—21no—
270#541—21no—
271#540—21no—
272#539—41no—
273#539—41no—
274#539—41no—
275#538—41no—
276#536—21no—
277#536—21no—
278#533C2311yescharacteristic
279#532C2311yescharacteristic
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2311yescharacteristic
282#529C2311yescharacteristic
283#529C2311yescharacteristic
284#529C2311yescharacteristic
285#525—21no—
286#525—21no—
287C2×C22⋊Q8—21no—
288C2×#121—21no—
289#520—21no—
290#518—21no—
291C2×C4×D4C2311yescharacteristic
292#501—21no—
293#501—21no—
294#501—41no—
295#500—21no—
296#500C2311yescharacteristic
297#500C2311yescharacteristic
298#500C2311yescharacteristic
299#500C2311yescharacteristic
300#499—21no—
301#499D411yescharacteristic
302#498C2311yescharacteristic
303#498C2311yescharacteristic
304#498C2311yescharacteristic
305#498C2311yescharacteristic
306#498C2311yescharacteristic
307#497—21no—
308#497—21no—
309#497—21no—
310#497—21no—
311#495—21no—
312#495D411yescharacteristic
313#494—21no—
314#494—21no—
315#494—21no—
316#494C2311yescharacteristic
317#494C2311yescharacteristic
318#494C2311yescharacteristic
319#494C2311yescharacteristic
320#492C2311yescharacteristic
321#491—21no—
322#491—21no—
323#490—21no—
324#489—21no—
325#489—41no—
326#488—21no—
327#488D411yescharacteristic
328#488D411yescharacteristic
329#487C2311yescharacteristic
330#487C2311yescharacteristic
331#487C2311yescharacteristic
332#487C2311yescharacteristic
333#487C2311yescharacteristic
334#486—21no—
335#486C2311yescharacteristic
336#486C2311yescharacteristic
337#486C2311yescharacteristic
338#486C2311yescharacteristic
339#486C2311yescharacteristic
340#485—21no—
341#485—21no—
342#485—21no—
343#485—21no—
344#484—21no—
345#484—21no—
346#484—21no—
347#484—21no—
348#484D411yescharacteristic
349#483—21no—
350#483—21no—
351#482—21no—
352#482—21no—
353#482—21no—
354#482—21no—
355#482—21no—
356#482—21no—
357#481—21no—
358#481—21no—
359#481—21no—
360#481—21no—
361#481—21no—
362#481D411yescharacteristic
363#480—21no—
364#480—21no—
365#480—21no—
366#479—21no—
367#479—21no—
368#479—21no—
369#479—21no—
370#478—21no—
371#478—21no—
372#478—21no—
373#478—21no—
374#478—21no—
375#478—21no—
376#478D411yescharacteristic
377#478D411yescharacteristic
378#477—21no—
379#477—21no—
380#477—21no—
381#477—21no—
382#477C2311yescharacteristic
383#477C2311yescharacteristic
384#476—21no—
385#476—21no—
386#476—21no—
387#476C2311yescharacteristic
388#476C2311yescharacteristic
389#475C2311yescharacteristic
390#475C2311yescharacteristic
391#474—21no—
392#474—21no—
393#474—21no—
394#474—21no—
395#474—21no—
396#474—21no—
397#474—21no—
398#474C2311yescharacteristic
399#474C2311yescharacteristic
400#474C2311yescharacteristic
401#474C2311yescharacteristic
402#474C2311yescharacteristic
403#474C2311yescharacteristic
404#474C2311yescharacteristic
405#474C2311yescharacteristic
406#474C2311yescharacteristic
407#474C2311yescharacteristic
408#470—21no—
409#470—21no—
410#470—21no—
411#470—21no—
412#469—21no—
413#469—21no—
414#469—21no—
415#468—21no—
416#468—21no—
417#468—21no—
418#468—21no—
419#468—21no—
420#468—21no—
421#468—21no—
422#467—21no—
423#467—21no—
424#467—21no—
425#467—21no—
426#467—21no—
427#467D411yescharacteristic
428#466—21no—
429#466—21no—
430#466—21no—
431#466—21no—
432#466D411yescharacteristic
433#465—21no—
434#465—21no—
435#465—21no—
436#465—21no—
437#465—21no—
438#465—21no—
439#465—21no—
440#465D411yescharacteristic
441#465D411yescharacteristic
442#464—21no—
443#464—21no—
444#464—21no—
445#464—21no—
446#464—21no—
447#464—21no—
448#464—21no—
449#463—21no—
450#463—21no—
451#463—21no—
452#463D411yescharacteristic
453#463D411yescharacteristic
454#462—21no—
455#462—21no—
456#462—21no—
457#462—21no—
458#462C2311yescharacteristic
459#462C2311yescharacteristic
460#462C2311yescharacteristic
461#462C2311yescharacteristic
462#462C2311yescharacteristic
463#462C2311yescharacteristic
464#461C2311yescharacteristic
465#461C2311yescharacteristic
466#461C2311yescharacteristic
467#461C2311yescharacteristic
468#461C2311yescharacteristic
469#461C2311yescharacteristic
470#460—21no—
471#460C2311yescharacteristic
472#460C2311yescharacteristic
473#459—21no—
474#459C2311yescharacteristic
475#459C2311yescharacteristic
476#452—21no—
477#452—21no—
478#452—21no—
479#452—21no—
480#452—21no—
481#452—21no—
482#452—21no—
483#451—21no—
484#451—21no—
485#451—21no—
486#451—21no—
487#451—21no—
488#451—21no—
489#450—21no—
490#450—21no—
491#450—21no—
492#450D411yescharacteristic
493#449—21no—
494#449—21no—
495#449—21no—
496#448—21no—
497#448—21no—
498#448—21no—
499#448—21no—
500#447—21no—
501#447D411yescharacteristic
502#446C2311yescharacteristic
503#446C2311yescharacteristic
504#446C2311yescharacteristic
505C8×Q8C2311yescharacteristic
506C8×Q8C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508#442—21no—
509#441—21no—
510#441—21no—
511#440—21no—
512#440—21no—
513#440—21no—
514C4×Q16—21no—
515C4×Q16—21no—
516C4×Q16—21no—
517C4×Q16C2311yescharacteristic
518C4×SD16—21no—
519C4×SD16—21no—
520C4×SD16—21no—
521C4×SD16C2311yescharacteristic
522C4×SD16C2311yescharacteristic
523C4×SD16C2311yescharacteristic
524C4×SD16C2311yescharacteristic
525C4×D8—21no—
526C4×D8—21no—
527C4×D8C2311yescharacteristic
528C4×D8C2311yescharacteristic
529C4×D8C2311yescharacteristic
530#436—21no—
531#436—21no—
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#436C2311yescharacteristic
535#436C2311yescharacteristic
536#436C2311yescharacteristic
537#436C2311yescharacteristic
538#436C2311yescharacteristic
539#435—21no—
540#435—21no—
541#435—21no—
542C8×D4—21no—
543C8×D4—21no—
544C8×D4—21no—
545C8×D4C2311yescharacteristic
546C8×D4C2311yescharacteristic
547C8×D4C2311yescharacteristic
548#433—21no—
549#433—21no—
550#433—21no—
551#432C2311yescharacteristic
552#431C2311yescharacteristic
553#428—21no—
554#428—21no—
555#428—21no—
556#428—21no—
557#428—41no—
558#427—21no—
559C2×#107—21no—
560C2×#107—21no—
561C2×#107—21no—
562#424—21no—
563#424—21no—
564C2×C4⋊C8C2311yescharacteristic
565C2×C4⋊C8C2311yescharacteristic
566C2×C4⋊C8C2311yescharacteristic
567#419—21no—
568#418—21no—
569#418—21no—
570#417—21no—
571#417—21no—
572#417—21no—
573#417—41no—
574#416—21no—
575C2×#102—21no—
576C2×#102—21no—
577C2×#102—21no—
578C2×C22⋊C8—21no—
579#405—21no—
580C4×M16C2311yescharacteristic
581C2×C4×C8C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#334C2311yescharacteristic
585#334C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#332C2311yescharacteristic
603#332C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625#322C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C22×Q8—21no—
633C22×Q8—21no—
634C22×Q8—21no—
635C22×Q8—21no—
636C22×Q8—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—41no—
640C22×D4C2×D411yescharacteristic
641C23×C4—21no—
642#137—82no—
643#137—82no—
644#137—82no—
645AGL(1,ℤ/8)—82no—
646#135—82no—
647C2×Q16—21no—
648C2×Q16—21no—
649C2×Q16—21no—
650C2×Q16—21no—
651C2×Q16—21no—
652C2×Q16—21no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16—21no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16—21no—
661C2×Q16—82no—
662C2×Q16—82no—
663C2×Q16—82no—
664C2×Q16C2×D411yescharacteristic
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×SD16C2×D411yescharacteristic
676C2×SD16C2×D411yescharacteristic
677C2×SD16C2×D411yescharacteristic
678C2×SD16C2×D411yescharacteristic
679C2×D8—21no—
680C2×D8—21no—
681C2×D8C2×D411yescharacteristic
682C2×D8C2×D411yescharacteristic
683C2×D8C2×D411yescharacteristic
684C2×M16—21no—
685C2×M16—21no—
686C2×M16—21no—
687C2×M16—21no—
688C2×M16—21no—
689C2×M16—21no—
690C2×M16—21no—
691C2×M16—21no—
692C2×M16—82no—
693C22×C8—21no—
694C22×C8—21no—
695C22×C8—21no—
696C22×C8—21no—
697C22×C8—21no—
698C22×C8—21no—
699C22×C8C2×D411yescharacteristic
700C22×C8C2×D411yescharacteristic
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—21no—
711C4⋊Q8—21no—
712C4⋊Q8—41no—
713C4⋊Q8—41no—
714C4⋊Q8C2411yescharacteristic
715C4⋊Q8C2411yescharacteristic
716C4⋊Q8C2411yescharacteristic
717C4⋊Q8C2411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721#127—21no—
722#127C2411yescharacteristic
723#126—21no—
724#126—21no—
725#126—21no—
726#126—41no—
727#126—41no—
728#126—41no—
729#126—41no—
730#126—41no—
731#126—41no—
732#126—41no—
733#126—41no—
734#126—41no—
735#125—21no—
736#125—21no—
737#125—21no—
738#125—21no—
739#125—41no—
740#125—41no—
741#125—41no—
742#125—41no—
743#125—41no—
744#125—41no—
745#125—41no—
746#125C2×D411yescharacteristic
747#125C2×D411yescharacteristic
748#125C2×D411yescharacteristic
749#124—21no—
750#124—21no—
751#124—21no—
752#124—21no—
753#124—41no—
754#124—41no—
755#124—41no—
756#124—41no—
757#124C2×D411yescharacteristic
758#124C2×D411yescharacteristic
759#124C2×D411yescharacteristic
760#123—21no—
761#123—21no—
762#123—21no—
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—
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—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⋊Q8—41no—
804C22⋊Q8—41no—
805C22⋊Q8—41no—
806C22⋊Q8C2×D411yescharacteristic
807C22⋊Q8C2×D411yescharacteristic
808C22⋊Q8C2×D411yescharacteristic
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—21no—
818#121—21no—
819#121—21no—
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#121C2×D411yescharacteristic
829#121C2×D411yescharacteristic
830#121C2×D411yescharacteristic
831#120—41no—
832#120—41no—
833#120—41no—
834#120—41no—
835C4×Q8—21no—
836C4×Q8—21no—
837C4×Q8—21no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8—21no—
843C4×Q8—21no—
844C4×Q8C2411yescharacteristic
845C4×Q8C2411yescharacteristic
846C4×Q8C2411yescharacteristic
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—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4—41no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4—41no—
866C4×D4—41no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4C2×D411yescharacteristic
870C4×D4C2×D411yescharacteristic
871C4×D4C2411yescharacteristic
872C4×D4C2411yescharacteristic
873C4×D4C2411yescharacteristic
874C4×D4C2411yescharacteristic
875C4×D4C2411yescharacteristic
876#117—21no—
877#117—21no—
878#117—21no—
879#117—21no—
880#117—21no—
881#117—21no—
882#117—21no—
883#117—21no—
884#117—21no—
885#117—41no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—41no—
896C2×C4⋊C4C2×D411yescharacteristic
897C2×C22⋊C4—21no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C42C2411yescharacteristic
902#107—21no—
903#107—21no—
904#107—21no—
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107—21no—
913#107—21no—
914#107—21no—
915#107—21no—
916#107—21no—
917#107—21no—
918#107—41no—
919#107—41no—
920#107C2×D411yescharacteristic
921#107C2×D411yescharacteristic
922#107C2×D411yescharacteristic
923#107C2×D411yescharacteristic
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—21no—
931#106—21no—
932#106—21no—
933#106—21no—
934#106—41no—
935#106—41no—
936#106C2×D411yescharacteristic
937#106C2×D411yescharacteristic
938#106C2×D411yescharacteristic
939#106C2×D411yescharacteristic
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8—21no—
943C4⋊C8—21no—
944C4⋊C8—21no—
945C4⋊C8—21no—
946C4⋊C8—21no—
947C4⋊C8—21no—
948C4⋊C8—21no—
949C4⋊C8C2×D411yescharacteristic
950C4⋊C8C2×D411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955C4⋊C8C2411yescharacteristic
956C4⋊C8C2411yescharacteristic
957C4⋊C8C2411yescharacteristic
958C4⋊C8C2411yescharacteristic
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—41no—
982#103—41no—
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
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8C2×D411yescharacteristic
1035C22⋊C8C2×D411yescharacteristic
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040#97—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8C2×D411yescharacteristic
1045C4×C8C2×D411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C24—21no—
1053C24—41no—
1054#41—42no—
1055#41—82no—
1056#41—81no—
1057#41—81no—
1058#41—81no—
1059#41—81no—
1060#41—81no—
1061#41—81no—
1062#41—81no—
1063#41—81no—
1064#41—81no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—41no—
1073C2×Q8—41no—
1074C2×Q8—41no—
1075C2×Q8—41no—
1076C2×Q8—41no—
1077C2×Q8—81no—
1078C2×Q8—81no—
1079C2×Q8—81no—
1080C2×Q8—81no—
1081C2×Q8—81no—
1082C2×Q8—81no—
1083C2×Q8—81no—
1084C2×Q8—81no—
1085C2×Q8—81no—
1086C2×Q8—81no—
1087C2×Q8C22×D411yescharacteristic
1088C2×Q8C22×D411yescharacteristic
1089C2×Q8C22×D411yescharacteristic
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—42no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—162no—
1114C2×D4C22×D411yescharacteristic
1115C2×D4C22×D411yescharacteristic
1116C2×D4C22×D411yescharacteristic
1117C2×D4C22×D411yescharacteristic
1118C2×D4C22×D411yescharacteristic
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
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—81no—
1140C22×C4—81no—
1141C22×C4C22×D411yescharacteristic
1142C22×C4C22×D411yescharacteristic
1143C22×C4H(5,𝔽2)11yescharacteristic
1144Q16—22no—
1145Q16—42no—
1146Q16—42no—
1147Q16—42no—
1148Q16—42no—
1149Q16—81no—
1150Q16—81no—
1151Q16—81no—
1152Q16—81no—
1153Q16—81no—
1154Q16—81no—
1155Q16—81no—
1156Q16—81no—
1157Q16—81no—
1158Q16—81no—
1159SD16—41no—
1160SD16—41no—
1161SD16—41no—
1162SD16—41no—
1163SD16—42no—
1164SD16—81no—
1165SD16—81no—
1166SD16—81no—
1167SD16—81no—
1168SD16—81no—
1169SD16—81no—
1170SD16—81no—
1171SD16—81no—
1172SD16—81no—
1173D8—22no—
1174D8—41no—
1175D8—41no—
1176D8—81no—
1177D8—81no—
1178M16—42no—
1179M16—42no—
1180M16—42no—
1181M16—42no—
1182M16—81no—
1183M16—81no—
1184M16—81no—
1185M16—81no—
1186C2×C8—22no—
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—41no—
1198C2×C8—42no—
1199C2×C8—81no—
1200C2×C8—81no—
1201C2×C8—81no—
1202C2×C8—81no—
1203C2×C8—81no—
1204C2×C8C22×D411yescharacteristic
1205C2×C8C22×D411yescharacteristic
1206C2×C8C22×D411yescharacteristic
1207C2×C8C22×D411yescharacteristic
1208C2×C8C22×D411yescharacteristic
1209C2×C8C22×D411yescharacteristic
1210C2×C8C22×D411yescharacteristic
1211C2×C8C22×D411yescharacteristic
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—21no—
1238C4⋊C4—21no—
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⋊C4C22×D411yescharacteristic
1264C4⋊C4C22×D411yescharacteristic
1265C4⋊C4C22×D411yescharacteristic
1266C4⋊C4C22×D411yescharacteristic
1267C4⋊C4C22×D411yescharacteristic
1268C4⋊C4C22×D411yescharacteristic
1269C4⋊C4C22×D411yescharacteristic
1270C4⋊C4C22×D411yescharacteristic
1271C22⋊C4—21no—
1272C22⋊C4—21no—
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—21no—
1288C22⋊C4—21no—
1289C22⋊C4—21no—
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—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C42—21no—
1312C42—21no—
1313C42—21no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C42—41no—
1321C42C22×D411yescharacteristic
1322C42C22×D411yescharacteristic
1323C42H(5,𝔽2)11yescharacteristic
1324C42C2511yescharacteristic
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—42no—
1331C23—41no—
1332C23—81no—
1333C23—81no—
1334C23—82no—
1335C23—161no—
1336C23—161no—
1337C23D4211yescharacteristic
1338Q8—21no—
1339Q8—21no—
1340Q8—21no—
1341Q8—21no—
1342Q8—21no—
1343Q8—21no—
1344Q8—41no—
1345Q8—41no—
1346Q8—41no—
1347Q8—41no—
1348Q8—41no—
1349Q8—41no—
1350Q8—41no—
1351Q8—41no—
1352Q8—41no—
1353Q8—41no—
1354Q8—41no—
1355Q8—41no—
1356Q8—81no—
1357Q8—161no—
1358Q8—161no—
1359Q8—161no—
1360Q8—161no—
1361Q8—161no—
1362D4—21no—
1363D4—21no—
1364D4—21no—
1365D4—21no—
1366D4—21no—
1367D4—21no—
1368D4—21no—
1369D4—21no—
1370D4—21no—
1371D4—21no—
1372D4—42no—
1373D4—42no—
1374D4—42no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—81no—
1380D4—81no—
1381D4—82no—
1382D4—82no—
1383D4—82no—
1384D4—161no—
1385D4—161no—
1386D4—161no—
1387D4—161no—
1388D4—161no—
1389D4—161no—
1390D4—161no—
1391C2×C4—22no—
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—21no—
1405C2×C4—21no—
1406C2×C4—21no—
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—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—81no—
1425C2×C4—81no—
1426C2×C4—81no—
1427C2×C4—82no—
1428C2×C4—161no—
1429C2×C4—161no—
1430C2×C4—161no—
1431C2×C4—161no—
1432C2×C4—161no—
1433C2×C4—161no—
1434C2×C4—161no—
1435C2×C4—161no—
1436C2×C4—161no—
1437C2×C4—161no—
1438C2×C4—161no—
1439C2×C4D4211yescharacteristic
1440C2×C4D4211yescharacteristic
1441C2×C4D4211yescharacteristic
1442C2×C4C23×D411yescharacteristic
1443C2×C4C23×D411yescharacteristic
1444C2×C4C2×H(5,𝔽2)11yescharacteristic
1445C8—21no—
1446C8—21no—
1447C8—21no—
1448C8—21no—
1449C8—21no—
1450C8—21no—
1451C8—21no—
1452C8—41no—
1453C8—41no—
1454C8—41no—
1455C8—41no—
1456C8—41no—
1457C8—41no—
1458C8—41no—
1459C8—41no—
1460C8—41no—
1461C8—41no—
1462C8#57612yes—
1463C22—21no—
1464C22—21no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—162no—
1484C22—322no—
1485C22#328912yes—
1486C22C2×D4211yescharacteristic
1487C4—21no—
1488C4—21no—
1489C4—21no—
1490C4—21no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—81no—
1503C4—81no—
1504C4—81no—
1505C4—81no—
1506C4—81no—
1507C4—81no—
1508C4—81no—
1509C4C2×#57611yescharacteristic
1510C4#358511yescharacteristic
1511C4#358611yescharacteristic
1512C4#358611yescharacteristic
1513C2—22no—
1514C2—81no—
1515C2—81no—
1516C2—81no—
1517C2—81no—
1518C2—81no—
1519C2—161no—
1520C2#6106411yescharacteristic
1521C2#6109311yescharacteristic
1522C2C2×#328911yescharacteristic
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. #62432C2semidirect
2. #62262C2semidirect
3. #62201C2semidirect
4. #62199C2semidirect
5. #20267C2semidirect
6. #20263C2semidirect
7. #20261C2semidirect
8. #20257C2semidirect
9. #20250C2semidirect
10. #20238C2semidirect
11. #20218C2semidirect
12. #20206C2semidirect
13. #20171C2semidirect
14. #20167C2semidirect
15. #20165C2semidirect
16. #20161C2semidirect
17. #19881C2semidirect
18. #19878C2semidirect
19. #19761C2semidirect
20. #19758C2semidirect
21. #19684C2semidirect
22. #19590C2semidirect
23. #19589C2semidirect
24. #19221C2semidirect
25. C2×#1689C2semidirect
26. #18733C2semidirect
27. #18726C2semidirect
28. #18587C2semidirect
29. #18571C2semidirect
30. #18093C2semidirect
31. #17938C2semidirect
33. #3552C22semidirect
36. #3398C22semidirect
37. #3398C22semidirect
38. #3395C22semidirect
39. #3393C22semidirect
40. #3386C22semidirect
43. Q8×D8C22semidirect
61. #3330C22semidirect
69. #3302C22semidirect
74. D4×Q16C22semidirect
76. #3283C22semidirect
78. #3276C22semidirect
79. #3276C22semidirect
87. #3248C22semidirect
92. #3230C22semidirect
97. #3218C22semidirect
103. #3165C22semidirect
105. C2×#494C22semidirect
117. #2994C22semidirect
118. #2966C22semidirect
120. #1723C22semidirect
121. #1723C22semidirect
122. #1722C22semidirect
123. #1722C22semidirect
124. #1720C22semidirect
125. #1720C22semidirect
126. #1716C22semidirect
127. #1716C22semidirect
128. #1704C22semidirect
129. #1703C22semidirect
130. #1702C22semidirect
131. #1702C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1700C22semidirect
135. #1699C22semidirect
136. #1694C22semidirect
137. #1693C22semidirect
138. #1692C22semidirect
139. #1691C22semidirect
144. #1689C22semidirect
145. #1689C22semidirect
146. #1689C22semidirect
147. #1689C22semidirect
148. #1682C22semidirect
149. #1681C22semidirect
150. #1680C22semidirect
151. #1679C22semidirect
152. #1674C22semidirect
153. #1673C22semidirect
154. #1672C22semidirect
155. #1672C22semidirect
156. #1671C22semidirect
157. #1671C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1654C22semidirect
162. #1654C22semidirect
163. #1653C22semidirect
166. #1652C22semidirect
167. #1651C22semidirect
168. #1650C22semidirect
169. #1649C22semidirect
170. #1649C22semidirect
171. #1649C22semidirect
172. #1648C22semidirect
175. #1647C22semidirect
184. #1638C22semidirect
185. #1637C22semidirect
186. #1636C22semidirect
187. #1635C22semidirect
188. #1628C22semidirect
189. #1627C22semidirect
190. #1626C22semidirect
191. #1625C22semidirect
193. #1594C22semidirect
194. #1594C22semidirect
195. #1593C22semidirect
197. #1592C22semidirect
199. #1583C22semidirect
200. #1583C22semidirect
201. #1583C22semidirect
202. #1582C22semidirect
203. #1582C22semidirect
205. #1581C22semidirect
206. #1580C22semidirect
207. #1579C22semidirect
208. #1573C22semidirect
209. C2×#334C22semidirect
210. #1552C22semidirect
212. C2×#332C22semidirect
213. C2×#332C22semidirect
216. #1483C22semidirect
217. #1483C22semidirect
218. #1451C22semidirect

Maximal subgroups

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

subgroupindex
#624322
#622622
#622012
#621992
#202672
#202632
#202612
#202572
#202502
#202382
#202182
#202062
#201712
#201672
#201652
#201612
#198812
#198782
#197612
#197582
#196842
#195902
#195892
#192212
C2×#16892
#187332
#187262
#185872
#185712
#180932
#179382