Finite Group Databasebeta

← #6369042

Subgroups — #6369042

Order 512.

1559 conjugacy classes of subgroups.

The subgroup lattice has 1509 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62552C211yesmaximal, characteristic, complemented
2#62487C211yesmaximal, characteristic, complemented
3#62486C211yesmaximal, characteristic, complemented
4#62430C211yesmaximal, characteristic, complemented
5#20249C211yesmaximal, characteristic, complemented
6#20243C211yesmaximal, characteristic, complemented
7#20236C211yesmaximal, characteristic, complemented
8#20222C211yesmaximal, characteristic, complemented
9#20217C211yesmaximal, characteristic, complemented
10#20211C211yesmaximal, characteristic, complemented
11#20188C211yesmaximal, characteristic, complemented
12#20174C211yesmaximal, characteristic, complemented
13#19880C211yesmaximal, characteristic, complemented
14#19877C211yesmaximal, characteristic, complemented
15#19857C211yesmaximal, characteristic, complemented
16#19854C211yesmaximal, characteristic, complemented
17#19809C211yesmaximal, characteristic, complemented
18#19806C211yesmaximal, characteristic, complemented
19#19768C211yesmaximal, characteristic, complemented
20#19765C211yesmaximal, characteristic, complemented
21C2×#1714C211yesmaximal, characteristic, complemented
22#19362C211yesmaximal, characteristic, complemented
23#19359C211yesmaximal, characteristic, complemented
24#19357C211yesmaximal, characteristic, complemented
25#19352C211yesmaximal, characteristic, complemented
26#18695C211yesmaximal, characteristic, complemented
27#18690C211yesmaximal, characteristic, complemented
28#18684C211yesmaximal, characteristic, complemented
29#18683C211yesmaximal, characteristic, complemented
30#17978C211yesmaximal, characteristic, complemented
31#17963C211yesmaximal, characteristic, complemented
32#3552C2211yescharacteristic
33#3544C2211yescharacteristic
34#3544C2211yescharacteristic, complemented
35#3543C2211yescharacteristic
36#3400C2211yescharacteristic
37#3397C2211yescharacteristic
38#3394C2211yescharacteristic
39#3392C2211yescharacteristic
40#3387C2211yescharacteristic, complemented
41#3385C2211yescharacteristic, complemented
42#3385C2211yescharacteristic, complemented
43#3384C2211yescharacteristic, complemented
44Q8×Q16C2211yescharacteristic, complemented
45#3381C2211yescharacteristic, complemented
46#3380C2211yescharacteristic, complemented
47Q8×SD16C2211yescharacteristic, complemented
48#3375C2211yescharacteristic
49#3366C2211yescharacteristic
50#3362C2211yescharacteristic
51#3361C2211yescharacteristic
52#3357C2211yescharacteristic, complemented
53#3357C2211yescharacteristic, complemented
54#3356C2211yescharacteristic, complemented
55#3354C2211yescharacteristic, complemented
56#3345—21no—
57#3344—21no—
58#3343—21no—
59#3343—21no—
60#3341C2211yescharacteristic, complemented
61#3340C2211yescharacteristic, complemented
62#3338C2211yescharacteristic, complemented
63#3337—21no—
64#3336—21no—
65#3335—21no—
66#3335C2211yescharacteristic, complemented
67#3334—21no—
68#3333C2211yescharacteristic
69#3325C2211yescharacteristic
70#3310—21no—
71#3306—21no—
72#3305C2211yescharacteristic
73#3296—21no—
74#3295C2211yescharacteristic
75#3294—21no—
76#3284C2211yescharacteristic
77#3282—21no—
78D4×SD16—21no—
79D4×SD16C2211yescharacteristic
80#3278C2211yescharacteristic
81#3272C2211yescharacteristic
82#3266—21no—
83#3265—21no—
84#3244—21no—
85#3244—21no—
86#3243—21no—
87#3243—21no—
88#3241—21no—
89#3239C2211yescharacteristic, complemented
90#3238C2211yescharacteristic
91#3238C2211yescharacteristic
92#3238C2211yescharacteristic
93#3238C2211yescharacteristic, complemented
94#3224—21no—
95#3222—21no—
96#3221—21no—
97#3218C2211yescharacteristic
98#3217C2211yescharacteristic
99#3217C2211yescharacteristic
100#3179—21no—
101#3175—21no—
102#3174—21no—
103#3173—21no—
104#3168C2211yescharacteristic
105#3168C2211yescharacteristic
106#3164—21no—
107#3163—21no—
108C2×#500C2211yescharacteristic, complemented
109C2×#498C2211yescharacteristic, complemented
110#3154—21no—
111C2×#492C2211yescharacteristic
112C2×#492C2211yescharacteristic
113#3136—21no—
114C2×#487C2211yescharacteristic, complemented
115C2×#486C2211yescharacteristic
116#2966C2211yescharacteristic
117#2966C2211yescharacteristic
118#2966C2211yescharacteristic, complemented
119#2966C2211yescharacteristic, complemented
120#1714C2211yescharacteristic
121#1714C2211yescharacteristic
122#1714C2211yescharacteristic
123#1714C2211yescharacteristic
124#1714C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1714C2211yescharacteristic, complemented
127#1714C2211yescharacteristic, complemented
128#1698C2211yescharacteristic
129#1698C2211yescharacteristic, complemented
130#1697C2211yescharacteristic
131#1697C2211yescharacteristic, complemented
132#1696C2211yescharacteristic, complemented
133#1696C2211yescharacteristic, complemented
134#1695C2211yescharacteristic, complemented
135#1695C2211yescharacteristic, complemented
136#1692C2211yescharacteristic, complemented
137#1692C2211yescharacteristic, complemented
138#1691C2211yescharacteristic, complemented
139#1691C2211yescharacteristic, complemented
140#1686C2211yescharacteristic
141#1686C2211yescharacteristic, complemented
142#1685C2211yescharacteristic
143#1685C2211yescharacteristic, complemented
144#1678C2211yescharacteristic
145#1678C2211yescharacteristic, complemented
146#1677C2211yescharacteristic
147#1677C2211yescharacteristic, complemented
148#1676C2211yescharacteristic, complemented
149#1676C2211yescharacteristic, complemented
150#1675C2211yescharacteristic, complemented
151#1675C2211yescharacteristic, complemented
152#1672C2211yescharacteristic, complemented
153#1672C2211yescharacteristic, complemented
154#1671C2211yescharacteristic, complemented
155#1671C2211yescharacteristic, complemented
156#1666C2211yescharacteristic
157#1666C2211yescharacteristic, complemented
158#1665C2211yescharacteristic
159#1665C2211yescharacteristic, complemented
160#1646C2211yescharacteristic, complemented
161#1646C2211yescharacteristic, complemented
162#1645C2211yescharacteristic, complemented
163#1645C2211yescharacteristic, complemented
164#1644C2211yescharacteristic, complemented
165#1644C2211yescharacteristic, complemented
166#1643C2211yescharacteristic, complemented
167#1643C2211yescharacteristic, complemented
168#1638C2211yescharacteristic, complemented
169#1638C2211yescharacteristic, complemented
170#1637C2211yescharacteristic, complemented
171#1637C2211yescharacteristic, complemented
172#1636C2211yescharacteristic, complemented
173#1636C2211yescharacteristic, complemented
174#1635C2211yescharacteristic, complemented
175#1635C2211yescharacteristic, complemented
176#1631C2211yescharacteristic
177#1631C2211yescharacteristic
178#1631C2211yescharacteristic
179#1631C2211yescharacteristic
180#1630C2211yescharacteristic
181#1630C2211yescharacteristic
182#1629C2211yescharacteristic
183#1629C2211yescharacteristic
184#1624C2211yescharacteristic
185#1624C2211yescharacteristic, complemented
186#1623C2211yescharacteristic
187#1623C2211yescharacteristic, complemented
188#1622C2211yescharacteristic
189#1622C2211yescharacteristic
190#1622C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, 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#1568C2211yescharacteristic, complemented
209#1568C2211yescharacteristic, complemented
210#1558C2211yescharacteristic, complemented
211#1558C2211yescharacteristic, complemented
212#1556C2211yescharacteristic, complemented
213#1555C2211yescharacteristic
214#1494C2211yescharacteristic
215#1494C2211yescharacteristic
216#1494C2211yescharacteristic, complemented
217#1494C2211yescharacteristic, complemented
218C2×#322C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×#135—21no—
222C22×SD16—21no—
223C22×SD16—21no—
224C22×SD16—21no—
225C22×SD16—41no—
226#563—41no—
227#563—41no—
228#563—41no—
229#560—41no—
230#559C2311yescharacteristic
231Q82C2311yescharacteristic
232Q82C2311yescharacteristic
233#557C2311yescharacteristic
234#556C2311yescharacteristic
235#555C2311yescharacteristic
236#555C2311yescharacteristic
237#554—21no—
238#554C2311yescharacteristic
239#554C2311yescharacteristic
240#554C2311yescharacteristic
241#554C2311yescharacteristic
242#553—21no—
243#552—21no—
244#552—21no—
245#552—21no—
246#552—21no—
247#550C2311yescharacteristic
248#550C2311yescharacteristic
249D4×Q8—21no—
250D4×Q8C2311yescharacteristic
251#548—21no—
252#547—21no—
253#547—21no—
254#547—21no—
255#547—21no—
256#547C2311yescharacteristic
257#546—21no—
258#546—21no—
259D42—21no—
260D42—21no—
261D42C2311yescharacteristic
262#544—21no—
263#544—21no—
264#544—21no—
265#544—21no—
266#544—21no—
267#542—21no—
268#542—21no—
269#542—21no—
270#542—21no—
271#542—21no—
272#541—21no—
273#540—21no—
274#540—21no—
275#539—41no—
276#536—21no—
277#536—41no—
278#536—41no—
279#535—21no—
280#535—21no—
281#534—41no—
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2311yescharacteristic
285C2×#127C2311yescharacteristic
286#529C2311yescharacteristic
287#529C2311yescharacteristic
288#529C2311yescharacteristic
289#529C2311yescharacteristic
290#501—21no—
291#501—21no—
292#501—21no—
293#501—21no—
294#501—21no—
295#501—21no—
296#501—21no—
297#501—21no—
298#501—21no—
299#500—21no—
300#500—21no—
301#500—21no—
302#500C2311yescharacteristic
303#500C2311yescharacteristic
304#500C2311yescharacteristic
305#500C2311yescharacteristic
306#499—21no—
307#499—21no—
308#499D411yescharacteristic
309#499D411yescharacteristic
310#498—21no—
311#498—21no—
312#498—21no—
313#498C2311yescharacteristic
314#498C2311yescharacteristic
315#498C2311yescharacteristic
316#498C2311yescharacteristic
317#497—21no—
318#497—21no—
319#496—21no—
320#496—21no—
321#496—21no—
322#495—21no—
323#495D411yescharacteristic
324#495D411yescharacteristic
325#492—21no—
326#492—21no—
327#492—21no—
328#492—41no—
329#492C2311yescharacteristic
330#492C2311yescharacteristic
331#492C2311yescharacteristic
332#492C2311yescharacteristic
333#492C2311yescharacteristic
334#492C2311yescharacteristic
335#492C2311yescharacteristic
336#492C2311yescharacteristic
337#491—21no—
338#490—21no—
339#490—21no—
340#490—21no—
341#489—21no—
342#489—21no—
343#489—21no—
344#489—21no—
345#489—21no—
346#489—21no—
347#488—21no—
348#488D411yescharacteristic
349#488D411yescharacteristic
350#488D411yescharacteristic
351#488D411yescharacteristic
352#487—41no—
353#487C2311yescharacteristic
354#487C2311yescharacteristic
355#487C2311yescharacteristic
356#487C2311yescharacteristic
357#486—21no—
358#486—21no—
359#486—21no—
360#486C2311yescharacteristic
361#486C2311yescharacteristic
362#486C2311yescharacteristic
363#486C2311yescharacteristic
364#485—21no—
365#485—21no—
366#485—21no—
367#485—21no—
368#484—21no—
369#484—21no—
370#484—21no—
371#483—21no—
372#483—21no—
373#483—21no—
374#483—21no—
375#483—21no—
376#483—21no—
377#482—21no—
378#482—21no—
379#482—21no—
380#482—21no—
381#482—21no—
382#482—21no—
383#481—21no—
384#481—21no—
385#481—21no—
386#481—21no—
387#480—21no—
388#480—21no—
389#480—21no—
390#480—21no—
391#480—21no—
392#480—21no—
393#480—21no—
394#479—21no—
395#479—21no—
396#479—21no—
397#479—21no—
398#478—21no—
399#478—21no—
400#478—21no—
401#478—21no—
402#478—21no—
403#478—21no—
404#477—21no—
405#477—21no—
406#477C2311yescharacteristic
407#477C2311yescharacteristic
408#477C2311yescharacteristic
409#477C2311yescharacteristic
410#477C2311yescharacteristic
411#477C2311yescharacteristic
412#477C2311yescharacteristic
413#477C2311yescharacteristic
414#476—21no—
415#476—21no—
416#476—21no—
417#476C2311yescharacteristic
418#476C2311yescharacteristic
419#476C2311yescharacteristic
420#476C2311yescharacteristic
421#476C2311yescharacteristic
422#476C2311yescharacteristic
423#476C2311yescharacteristic
424#476C2311yescharacteristic
425#475—21no—
426#475—21no—
427#475C2311yescharacteristic
428#475C2311yescharacteristic
429#474—21no—
430#474—21no—
431#474—21no—
432#474C2311yescharacteristic
433#474C2311yescharacteristic
434#470—21no—
435#469—21no—
436#469—21no—
437#468—21no—
438#468—21no—
439#468—21no—
440#468—21no—
441#468—21no—
442#467—21no—
443#467D411yescharacteristic
444#467D411yescharacteristic
445#466—21no—
446#466—21no—
447#466D411yescharacteristic
448#466D411yescharacteristic
449#465—21no—
450#465—21no—
451#465—21no—
452#465—21no—
453#465—21no—
454#465D411yescharacteristic
455#465D411yescharacteristic
456#465D411yescharacteristic
457#465D411yescharacteristic
458#464—21no—
459#464—21no—
460#464—21no—
461#463—21no—
462#463—21no—
463#463—21no—
464#462C2311yescharacteristic
465#462C2311yescharacteristic
466#461—21no—
467#461—21no—
468#461C2311yescharacteristic
469#461C2311yescharacteristic
470#460—21no—
471#460—21no—
472#460—21no—
473#460C2311yescharacteristic
474#460C2311yescharacteristic
475#460C2311yescharacteristic
476#460C2311yescharacteristic
477#459—21no—
478#459C2311yescharacteristic
479#459C2311yescharacteristic
480#459C2311yescharacteristic
481#459C2311yescharacteristic
482#452—21no—
483#452—21no—
484#452—21no—
485#451—21no—
486#450—21no—
487#450—21no—
488#450—21no—
489#450—21no—
490#450—21no—
491#449—21no—
492#449—21no—
493#449—21no—
494#448—21no—
495#448—21no—
496#448—21no—
497#447—21no—
498#447—21no—
499#447—21no—
500#446C2311yescharacteristic
501#446C2311yescharacteristic
502#446C2311yescharacteristic
503#446C2311yescharacteristic
504C8×Q8C2311yescharacteristic
505C8×Q8C2311yescharacteristic
506C8×Q8C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508#442—21no—
509#442—21no—
510#441—21no—
511#440—21no—
512#440—21no—
513#440—21no—
514#440—21no—
515#440—21no—
516C4×Q16—21no—
517C4×Q16C2311yescharacteristic
518C4×Q16C2311yescharacteristic
519C4×SD16—21no—
520C4×SD16—21no—
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16—21no—
524C4×SD16C2311yescharacteristic
525C4×SD16C2311yescharacteristic
526C4×SD16C2311yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×D8—21no—
529C4×D8—21no—
530C4×D8C2311yescharacteristic
531C4×D8C2311yescharacteristic
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#436C2311yescharacteristic
535#436C2311yescharacteristic
536#435—21no—
537#435—21no—
538#435—21no—
539#435—21no—
540C8×D4—21no—
541C8×D4—21no—
542C8×D4—21no—
543C8×D4—21no—
544C8×D4C2311yescharacteristic
545C8×D4C2311yescharacteristic
546C8×D4C2311yescharacteristic
547C8×D4C2311yescharacteristic
548#433—21no—
549#433—21no—
550#433—21no—
551#433—21no—
552#432C2311yescharacteristic
553#432C2311yescharacteristic
554#432C2311yescharacteristic
555#432C2311yescharacteristic
556#428—21no—
557#428—21no—
558#428—21no—
559#428—21no—
560#427—21no—
561#427—21no—
562C2×#107—21no—
563C2×#107—21no—
564C2×#107—21no—
565C2×#106—21no—
566C2×#106—21no—
567C2×#106—21no—
568#418—21no—
569#417—21no—
570#416—21no—
571C2×#103—41no—
572C2×#102—21no—
573C2×#102—21no—
574C2×#102—21no—
575#405—21no—
576#405—21no—
577#405—21no—
578#405—21no—
579C2×C4×C8C2311yescharacteristic
580C2×C4×C8C2311yescharacteristic
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#333C2311yescharacteristic
595#333C2311yescharacteristic
596#333C2311yescharacteristic
597#333C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612Q8⋊C8C2311yescharacteristic
613Q8⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625#322C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—41no—
630C2×#41—41no—
631C22×Q8—21no—
632C22×Q8—21no—
633C22×Q8—21no—
634C22×Q8—21no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—41no—
641#137—82no—
642AGL(1,ℤ/8)—82no—
643#135—82no—
644C2×Q16—21no—
645C2×Q16—21no—
646C2×Q16C2×D411yescharacteristic
647C2×Q16C2×D411yescharacteristic
648C2×SD16—21no—
649C2×SD16—21no—
650C2×SD16—21no—
651C2×SD16—21no—
652C2×SD16—21no—
653C2×SD16—21no—
654C2×SD16—21no—
655C2×SD16—21no—
656C2×SD16—21no—
657C2×SD16—21no—
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—41no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—82no—
667C2×SD16—82no—
668C2×SD16—82no—
669C2×SD16—84no—
670C2×SD16C2×D411yescharacteristic
671C2×SD16C2×D411yescharacteristic
672C2×SD16C2×D411yescharacteristic
673C2×SD16C2×D411yescharacteristic
674C2×D8—21no—
675C2×D8—21no—
676C2×D8—21no—
677C2×D8—21no—
678C2×D8C2×D411yescharacteristic
679C2×D8C2×D411yescharacteristic
680C2×M16—21no—
681C2×M16—21no—
682C2×M16—21no—
683C2×M16—21no—
684C22×C8—21no—
685C22×C8—21no—
686C22×C8—21no—
687C22×C8—21no—
688C22×C8—21no—
689C22×C8C2×D411yescharacteristic
690C22×C8C2×D411yescharacteristic
691C22×C8C2×D411yescharacteristic
692C22×C8C2×D411yescharacteristic
693C4⋊Q8—21no—
694C4⋊Q8—21no—
695C4⋊Q8—21no—
696C4⋊Q8—21no—
697C4⋊Q8—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—41no—
709C4⋊Q8—41no—
710C4⋊Q8—41no—
711C4⋊Q8—41no—
712C4⋊Q8—41no—
713C4⋊Q8C2411yescharacteristic
714C4⋊Q8C2411yescharacteristic
715C4⋊Q8C2411yescharacteristic
716C4⋊Q8C2411yescharacteristic
717C4⋊Q8C2411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719#127—21no—
720#127—21no—
721#127—21no—
722#127—21no—
723#127—21no—
724#127C2411yescharacteristic
725#127C2411yescharacteristic
726#126—21no—
727#126—21no—
728#126—21no—
729#126—21no—
730#126—41no—
731#126—41no—
732#126—41no—
733#126—41no—
734#126—41no—
735#126—41no—
736#126—41no—
737#125—21no—
738#125—21no—
739#125—21no—
740#125—21no—
741#125—21no—
742#125—41no—
743#125—41no—
744#125—41no—
745#125—41no—
746#125—41no—
747#125—41no—
748#125—41no—
749#125C2×D411yescharacteristic
750#125C2×D411yescharacteristic
751#125C2×D411yescharacteristic
752#125C2×D411yescharacteristic
753#124—21no—
754#124—21no—
755#124—21no—
756#124—41no—
757#124—41no—
758#124—41no—
759#124—41no—
760#124—41no—
761#124C2×D411yescharacteristic
762#124C2×D411yescharacteristic
763#124C2×D411yescharacteristic
764#124C2×D411yescharacteristic
765#123—21no—
766#123—21no—
767#123—21no—
768#123—21no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
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—
783#123—41no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
790C22⋊Q8—21no—
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⋊Q8—41no—
807C22⋊Q8—41no—
808C22⋊Q8—41no—
809C22⋊Q8C2×D411yescharacteristic
810C22⋊Q8C2×D411yescharacteristic
811C22⋊Q8C2×D411yescharacteristic
812C22⋊Q8C2×D411yescharacteristic
813#121—21no—
814#121—21no—
815#121—21no—
816#121—21no—
817#121—21no—
818#121—21no—
819#121—21no—
820#121—21no—
821#121—21no—
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#121C2×D411yescharacteristic
832#121C2×D411yescharacteristic
833#121C2×D411yescharacteristic
834#121C2×D411yescharacteristic
835#120—41no—
836#120—41no—
837#120—41no—
838#120—41no—
839#120—41no—
840#120—41no—
841C4×Q8—21no—
842C4×Q8—21no—
843C4×Q8—21no—
844C4×Q8—21no—
845C4×Q8—21no—
846C4×Q8—21no—
847C4×Q8—21no—
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—41no—
866C4×D4—41no—
867C4×D4C2411yescharacteristic
868C4×D4C2411yescharacteristic
869C4×D4C2411yescharacteristic
870C4×D4C2411yescharacteristic
871#117—21no—
872#117—21no—
873#117—21no—
874#117—21no—
875#117—21no—
876#117—21no—
877#117—21no—
878#117—21no—
879#117—21no—
880#117—41no—
881#117—41no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C22⋊C4—41no—
894C2×C42C2411yescharacteristic
895#107—21no—
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—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#107C2×D411yescharacteristic
914#107C2×D411yescharacteristic
915#107C2×D411yescharacteristic
916#107C2×D411yescharacteristic
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#106—21no—
929#106—21no—
930#106—21no—
931#106—21no—
932#106—21no—
933#106—21no—
934#106—21no—
935#106C2×D411yescharacteristic
936#106C2×D411yescharacteristic
937#106C2×D411yescharacteristic
938#106C2×D411yescharacteristic
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8—21no—
943C4⋊C8—21no—
944C4⋊C8—21no—
945C4⋊C8—21no—
946C4⋊C8—21no—
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—41no—
970#103—41no—
971#103—41no—
972#103—41no—
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
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#102C2×D411yescharacteristic
1008#102C2×D411yescharacteristic
1009#102C2×D411yescharacteristic
1010#102C2×D411yescharacteristic
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015C22⋊C8—21no—
1016C22⋊C8—21no—
1017C22⋊C8—21no—
1018C22⋊C8—21no—
1019C22⋊C8—21no—
1020C22⋊C8—21no—
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027#97—21no—
1028#97—21no—
1029#97—21no—
1030#97—21no—
1031#97—21no—
1032#97—21no—
1033#97—21no—
1034#97—21no—
1035C4×C8—21no—
1036C4×C8—21no—
1037C4×C8—21no—
1038C4×C8—21no—
1039C4×C8—21no—
1040C4×C8C2×D411yescharacteristic
1041C4×C8C2×D411yescharacteristic
1042C4×C8C2×D411yescharacteristic
1043C4×C8C2×D411yescharacteristic
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C24—41no—
1051C24—41no—
1052#41—81no—
1053#41—81no—
1054#41—81no—
1055#41—81no—
1056#41—81no—
1057#41—81no—
1058#41—162no—
1059#41—162no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—41no—
1067C2×Q8—41no—
1068C2×Q8—41no—
1069C2×Q8—41no—
1070C2×Q8—41no—
1071C2×Q8—41no—
1072C2×Q8—82no—
1073C2×Q8—82no—
1074C2×Q8—81no—
1075C2×Q8—81no—
1076C2×Q8—81no—
1077C2×Q8—81no—
1078C2×Q8C22×D411yescharacteristic
1079C2×Q8C22×D411yescharacteristic
1080C2×Q8C22×D411yescharacteristic
1081C2×Q8C22×D411yescharacteristic
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—82no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—162no—
1114C2×D4C22×D411yescharacteristic
1115C2×D4C22×D411yescharacteristic
1116C2×D4C22×D411yescharacteristic
1117C2×D4C22×D411yescharacteristic
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4C22×D411yescharacteristic
1135C22×C4C22×D411yescharacteristic
1136C22×C4H(5,𝔽2)11yescharacteristic
1137Q16—22no—
1138Q16—41no—
1139Q16—81no—
1140Q16—81no—
1141SD16—22no—
1142SD16—22no—
1143SD16—41no—
1144SD16—41no—
1145SD16—42no—
1146SD16—42no—
1147SD16—42no—
1148SD16—42no—
1149SD16—81no—
1150SD16—81no—
1151SD16—81no—
1152SD16—81no—
1153SD16—81no—
1154SD16—81no—
1155SD16—81no—
1156SD16—81no—
1157SD16—81no—
1158SD16—81no—
1159SD16—82no—
1160SD16—82no—
1161SD16—82no—
1162SD16—82no—
1163D8—22no—
1164D8—41no—
1165D8—81no—
1166D8—81no—
1167D8—81no—
1168D8—81no—
1169M16—42no—
1170M16—42no—
1171M16—42no—
1172M16—81no—
1173C2×C8—22no—
1174C2×C8—22no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—41no—
1186C2×C8—41no—
1187C2×C8—42no—
1188C2×C8—42no—
1189C2×C8—42no—
1190C2×C8—42no—
1191C2×C8—81no—
1192C2×C8C22×D411yescharacteristic
1193C2×C8C22×D411yescharacteristic
1194C2×C8C22×D411yescharacteristic
1195C2×C8C22×D411yescharacteristic
1196C2×C8C22×D411yescharacteristic
1197C2×C8C22×D411yescharacteristic
1198C2×C8C22×D411yescharacteristic
1199C2×C8C22×D411yescharacteristic
1200C4⋊C4—21no—
1201C4⋊C4—21no—
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—21no—
1205C4⋊C4—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
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—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
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⋊C4C22×D411yescharacteristic
1253C4⋊C4C22×D411yescharacteristic
1254C4⋊C4C22×D411yescharacteristic
1255C4⋊C4C22×D411yescharacteristic
1256C4⋊C4C22×D411yescharacteristic
1257C4⋊C4C22×D411yescharacteristic
1258C4⋊C4C22×D411yescharacteristic
1259C4⋊C4C22×D411yescharacteristic
1260C22⋊C4—21no—
1261C22⋊C4—21no—
1262C22⋊C4—21no—
1263C22⋊C4—21no—
1264C22⋊C4—21no—
1265C22⋊C4—21no—
1266C22⋊C4—21no—
1267C22⋊C4—21no—
1268C22⋊C4—21no—
1269C22⋊C4—21no—
1270C22⋊C4—21no—
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—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
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—
1298C42—21no—
1299C42—21no—
1300C42—21no—
1301C42—21no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42C22×D411yescharacteristic
1309C42C22×D411yescharacteristic
1310C42H(5,𝔽2)11yescharacteristic
1311C42C2511yescharacteristic
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—41no—
1317C23—41no—
1318C23—82no—
1319C23—161no—
1320C23—161no—
1321C23—161no—
1322C23—161no—
1323C23—161no—
1324C23D4211yescharacteristic
1325Q8—21no—
1326Q8—21no—
1327Q8—21no—
1328Q8—21no—
1329Q8—21no—
1330Q8—21no—
1331Q8—21no—
1332Q8—21no—
1333Q8—41no—
1334Q8—41no—
1335Q8—41no—
1336Q8—41no—
1337Q8—81no—
1338Q8—81no—
1339Q8—81no—
1340Q8—81no—
1341Q8—161no—
1342Q8—161no—
1343Q8—161no—
1344Q8—161no—
1345Q8—161no—
1346Q8—161no—
1347D4—21no—
1348D4—21no—
1349D4—21no—
1350D4—21no—
1351D4—21no—
1352D4—21no—
1353D4—21no—
1354D4—21no—
1355D4—42no—
1356D4—42no—
1357D4—42no—
1358D4—42no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—81no—
1368D4—81no—
1369D4—161no—
1370D4—161no—
1371D4—161no—
1372D4—161no—
1373D4—161no—
1374D4—161no—
1375D4—161no—
1376D4—161no—
1377D4—161no—
1378D4—161no—
1379D4—161no—
1380D4—161no—
1381C2×C4—22no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
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—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
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—82no—
1413C2×C4—82no—
1414C2×C4—161no—
1415C2×C4—161no—
1416C2×C4—161no—
1417C2×C4—161no—
1418C2×C4—161no—
1419C2×C4—161no—
1420C2×C4—161no—
1421C2×C4—161no—
1422C2×C4—161no—
1423C2×C4—161no—
1424C2×C4D4211yescharacteristic
1425C2×C4D4211yescharacteristic
1426C2×C4D4211yescharacteristic
1427C2×C4C23×D411yescharacteristic
1428C2×C4C23×D411yescharacteristic
1429C2×C4C2×H(5,𝔽2)11yescharacteristic
1430C8—21no—
1431C8—21no—
1432C8—21no—
1433C8—21no—
1434C8—21no—
1435C8—21no—
1436C8—41no—
1437C8—41no—
1438C8—41no—
1439C8—41no—
1440C8—41no—
1441C8—41no—
1442C8—41no—
1443C8—41no—
1444C8—41no—
1445C8—41no—
1446C8#57712yes—
1447C8#57712yes—
1448C22—21no—
1449C22—21no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—322no—
1469C22—322no—
1470C22#328812yes—
1471C22C2×D4211yescharacteristic
1472C4—21no—
1473C4—21no—
1474C4—21no—
1475C4—21no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4C2×#57711yescharacteristic
1495C4C2×#57711yescharacteristic
1496C4#358611yescharacteristic
1497C4#358611yescharacteristic
1498C2—22no—
1499C2—81no—
1500C2—81no—
1501C2—81no—
1502C2—81no—
1503C2—161no—
1504C2—161no—
1505C2#6108311yescharacteristic
1506C2#6108711yescharacteristic
1507C2C2×#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. #62552C2semidirect
2. #62487C2semidirect
3. #62486C2semidirect
4. #62430C2semidirect
5. #20249C2semidirect
6. #20243C2semidirect
7. #20236C2semidirect
8. #20222C2semidirect
9. #20217C2semidirect
10. #20211C2semidirect
11. #20188C2semidirect
12. #20174C2semidirect
13. #19880C2semidirect
14. #19877C2semidirect
15. #19857C2semidirect
16. #19854C2semidirect
17. #19809C2semidirect
18. #19806C2semidirect
19. #19768C2semidirect
20. #19765C2semidirect
21. C2×#1714C2semidirect
22. #19362C2semidirect
23. #19359C2semidirect
24. #19357C2semidirect
25. #19352C2semidirect
26. #18695C2semidirect
27. #18690C2semidirect
28. #18684C2semidirect
29. #18683C2semidirect
30. #17978C2semidirect
31. #17963C2semidirect
34. #3544C22semidirect
40. #3387C22semidirect
41. #3385C22semidirect
42. #3385C22semidirect
43. #3384C22semidirect
44. Q8×Q16C22semidirect
45. #3381C22semidirect
46. #3380C22semidirect
47. Q8×SD16C22semidirect
52. #3357C22semidirect
53. #3357C22semidirect
54. #3356C22semidirect
55. #3354C22semidirect
60. #3341C22semidirect
61. #3340C22semidirect
62. #3338C22semidirect
66. #3335C22semidirect
89. #3239C22semidirect
93. #3238C22semidirect
108. C2×#500C22semidirect
109. C2×#498C22semidirect
114. C2×#487C22semidirect
118. #2966C22semidirect
119. #2966C22semidirect
124. #1714C22semidirect
125. #1714C22semidirect
126. #1714C22semidirect
127. #1714C22semidirect
129. #1698C22semidirect
131. #1697C22semidirect
132. #1696C22semidirect
133. #1696C22semidirect
134. #1695C22semidirect
135. #1695C22semidirect
136. #1692C22semidirect
137. #1692C22semidirect
138. #1691C22semidirect
139. #1691C22semidirect
141. #1686C22semidirect
143. #1685C22semidirect
145. #1678C22semidirect
147. #1677C22semidirect
148. #1676C22semidirect
149. #1676C22semidirect
150. #1675C22semidirect
151. #1675C22semidirect
152. #1672C22semidirect
153. #1672C22semidirect
154. #1671C22semidirect
155. #1671C22semidirect
157. #1666C22semidirect
159. #1665C22semidirect
160. #1646C22semidirect
161. #1646C22semidirect
162. #1645C22semidirect
163. #1645C22semidirect
164. #1644C22semidirect
165. #1644C22semidirect
166. #1643C22semidirect
167. #1643C22semidirect
168. #1638C22semidirect
169. #1638C22semidirect
170. #1637C22semidirect
171. #1637C22semidirect
172. #1636C22semidirect
173. #1636C22semidirect
174. #1635C22semidirect
175. #1635C22semidirect
185. #1624C22semidirect
187. #1623C22semidirect
190. #1622C22semidirect
191. #1622C22semidirect
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. #1568C22semidirect
209. #1568C22semidirect
210. #1558C22semidirect
211. #1558C22semidirect
212. #1556C22semidirect
216. #1494C22semidirect
217. #1494C22semidirect
218. C2×#322C22semidirect

Maximal subgroups

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

subgroupindex
#625522
#624872
#624862
#624302
#202492
#202432
#202362
#202222
#202172
#202112
#201882
#201742
#198802
#198772
#198572
#198542
#198092
#198062
#197682
#197652
C2×#17142
#193622
#193592
#193572
#193522
#186952
#186902
#186842
#186832
#179782
#179632