Finite Group Databasebeta

← #6366711

Subgroups — #6366711

Order 512.

1612 conjugacy classes of subgroups.

The subgroup lattice has 1563 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62562C211yesmaximal, characteristic, complemented
2#62259C211yesmaximal, characteristic, complemented
3#61926C211yesmaximal, characteristic, complemented
4#61658C211yesmaximal, characteristic, complemented
5#20262C211yesmaximal, characteristic, complemented
6#20258C211yesmaximal, characteristic, complemented
7#20241C211yesmaximal, characteristic, complemented
8#20240C211yesmaximal, characteristic, complemented
9#20235C211yesmaximal, characteristic, complemented
10#20234C211yesmaximal, characteristic, complemented
11#20198C211yesmaximal, characteristic, complemented
12#20194C211yesmaximal, characteristic, complemented
13#20193C211yesmaximal, characteristic, complemented
14#20192C211yesmaximal, characteristic, complemented
15#20170C211yesmaximal, characteristic, complemented
16#20166C211yesmaximal, characteristic, complemented
17#19825C211yesmaximal, characteristic, complemented
18#19821C211yesmaximal, characteristic, complemented
19#19783C211yesmaximal, characteristic, complemented
20#19779C211yesmaximal, characteristic, complemented
21#19695C211yesmaximal, characteristic, complemented
22#19568C211yesmaximal, characteristic, complemented
23#19557C211yesmaximal, characteristic, complemented
24#19225C211yesmaximal, characteristic, complemented
25#19142C211yesmaximal, characteristic, complemented
26#18742C211yesmaximal, characteristic, complemented
27#18740C211yesmaximal, characteristic, complemented
28#18615C211yesmaximal, characteristic, complemented
29#18598C211yesmaximal, characteristic, complemented
30#18089C211yesmaximal, characteristic, complemented
31#17938C211yesmaximal, characteristic, complemented
32#3554C2211yescharacteristic, complemented
33#3547C2211yescharacteristic
34#3506C2211yescharacteristic
35#3496C2211yescharacteristic
36#3403—21no—
37#3399C2211yescharacteristic, complemented
38#3397C2211yescharacteristic, complemented
39#3396—21no—
40#3394C2211yescharacteristic, complemented
41#3391C2211yescharacteristic, complemented
42#3373C2211yescharacteristic, complemented
43#3372C2211yescharacteristic, complemented
44#3370—21no—
45#3368C2211yescharacteristic, complemented
46#3367C2211yescharacteristic, complemented
47#3364C2211yescharacteristic, complemented
48#3361—21no—
49#3361C2211yescharacteristic, complemented
50#3359C2211yescharacteristic, complemented
51#3358C2211yescharacteristic, complemented
52#3354—21no—
53#3353C2211yescharacteristic
54#3353C2211yescharacteristic
55#3332C2211yescharacteristic
56#3332C2211yescharacteristic
57#3332C2211yescharacteristic, complemented
58#3331C2211yescharacteristic
59#3330—21no—
60#3329C2211yescharacteristic, complemented
61#3325—21no—
62#3325C2211yescharacteristic
63#3324C2211yescharacteristic
64#3324C2211yescharacteristic
65#3323—21no—
66#3321—21no—
67#3307—21no—
68#3305C2211yescharacteristic, complemented
69#3303—21no—
70#3303C2211yescharacteristic
71#3301—21no—
72#3298C2211yescharacteristic, complemented
73#3296—21no—
74#3295C2211yescharacteristic
75#3283C2211yescharacteristic
76#3282—21no—
77D4×SD16C2211yescharacteristic
78#3276C2211yescharacteristic
79#3275—21no—
80#3274C2211yescharacteristic
81#3274C2211yescharacteristic
82#3272—21no—
83#3272C2211yescharacteristic
84#3246C2211yescharacteristic
85#3245C2211yescharacteristic
86#3244—21no—
87#3237C2211yescharacteristic, complemented
88#3224—21no—
89#3221—21no—
90#3220—21no—
91#3214C2211yescharacteristic
92#3212C2211yescharacteristic
93#3212C2211yescharacteristic, complemented
94#3210C2211yescharacteristic
95#3207C2211yescharacteristic, complemented
96#3204—21no—
97#3201—21no—
98#3188—21no—
99#3188—21no—
100#3184C2211yescharacteristic
101#3182C2211yescharacteristic, complemented
102#3179—21no—
103#3169C2211yescharacteristic
104#3167C2211yescharacteristic
105#3137—21no—
106#3131C2211yescharacteristic, complemented
107#3124—21no—
108#3119—21no—
109#3105C2211yescharacteristic
110#3101C2211yescharacteristic
111#3100C2211yescharacteristic
112#3055—21no—
113#3055—21no—
114#3012—21no—
115#3009—21no—
116#2986C2211yescharacteristic, complemented
117#2979C2211yescharacteristic
118#2966C2211yescharacteristic, complemented
119C2×#436C2211yescharacteristic
120#1722C2211yescharacteristic, complemented
121#1721C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1719C2211yescharacteristic, complemented
124#1718C2211yescharacteristic, complemented
125#1717C2211yescharacteristic, complemented
126#1717C2211yescharacteristic, complemented
127#1717C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1699C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1698C2211yescharacteristic, complemented
138#1697C2211yescharacteristic, complemented
139#1697C2211yescharacteristic, complemented
140#1694C2211yescharacteristic, complemented
141#1693C2211yescharacteristic, complemented
142#1690C2211yescharacteristic, complemented
143#1688C2211yescharacteristic, complemented
144#1687C2211yescharacteristic, complemented
145#1687C2211yescharacteristic, complemented
146#1686C2211yescharacteristic, complemented
147#1685C2211yescharacteristic, complemented
148#1684C2211yescharacteristic, complemented
149#1682C2211yescharacteristic, complemented
150#1682C2211yescharacteristic, complemented
151#1681C2211yescharacteristic, complemented
152#1681C2211yescharacteristic, complemented
153#1681C2211yescharacteristic, complemented
154#1679C2211yescharacteristic, complemented
155#1678C2211yescharacteristic, complemented
156#1670C2211yescharacteristic, complemented
157#1667C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic
162#1653C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1650C2211yescharacteristic, complemented
165#1650C2211yescharacteristic, complemented
166#1649C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1646C2211yescharacteristic, complemented
169#1644C2211yescharacteristic, complemented
170#1642C2211yescharacteristic, complemented
171#1642C2211yescharacteristic, complemented
172#1642C2211yescharacteristic, complemented
173#1640C2211yescharacteristic, complemented
174#1639C2211yescharacteristic
175#1639C2211yescharacteristic
176#1638C2211yescharacteristic, complemented
177#1638C2211yescharacteristic, complemented
178#1631C2211yescharacteristic, complemented
179#1631C2211yescharacteristic, complemented
180#1627C2211yescharacteristic, complemented
181#1627C2211yescharacteristic, complemented
182#1626C2211yescharacteristic, complemented
183#1625C2211yescharacteristic
184#1625C2211yescharacteristic
185#1625C2211yescharacteristic, complemented
186#1624C2211yescharacteristic, complemented
187#1622C2211yescharacteristic, complemented
188#1621C2211yescharacteristic, complemented
189#1620C2211yescharacteristic, complemented
190#1619C2211yescharacteristic
191#1619C2211yescharacteristic
192#1594C2211yescharacteristic, complemented
193#1594C2211yescharacteristic, complemented
194#1592C2211yescharacteristic, complemented
195#1592C2211yescharacteristic, complemented
196#1592C2211yescharacteristic, complemented
197#1592C2211yescharacteristic, complemented
198#1583C2211yescharacteristic, complemented
199#1583C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1582C2211yescharacteristic, complemented
203#1582C2211yescharacteristic, complemented
204#1581C2211yescharacteristic, complemented
205#1581C2211yescharacteristic, complemented
206SD16⋊C8C2211yescharacteristic, complemented
207SD16⋊C8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1564C2211yescharacteristic, complemented
210#1553C2211yescharacteristic
211#1553C2211yescharacteristic, complemented
212#1542C2211yescharacteristic, complemented
213#1540C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1485C2211yescharacteristic, complemented
216#1484C2211yescharacteristic
217#1483C2211yescharacteristic, complemented
218#1451C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C2×#137—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×#135—21no—
225C22×SD16—21no—
226C22×M16—21no—
227#562—41no—
228#562—41no—
229#559—21no—
230#559—21no—
231#559—21no—
232#559C2311yescharacteristic
233#557C2311yescharacteristic
234#556C2311yescharacteristic
235#556C2311yescharacteristic
236#555—21no—
237#555—21no—
238#555C2311yescharacteristic
239#554—21no—
240#554C2311yescharacteristic
241#553—21no—
242#553—41no—
243#552—21no—
244#550C2311yescharacteristic
245#550C2311yescharacteristic
246#550C2311yescharacteristic
247D4×Q8C2311yescharacteristic
248D4×Q8C2311yescharacteristic
249#548—21no—
250#548—21no—
251#547—21no—
252#547—21no—
253#547—21no—
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#546—21no—
258#546—21no—
259#546—41no—
260D42—21no—
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263#544—21no—
264#542—21no—
265#542—21no—
266#542—41no—
267#540—21no—
268#540—21no—
269#539—41no—
270#538—41no—
271#537—21no—
272#537—21no—
273#536—21no—
274#536—21no—
275#535—21no—
276#534—41no—
277#533C2311yescharacteristic
278#533C2311yescharacteristic
279#532C2311yescharacteristic
280#532C2311yescharacteristic
281#532C2311yescharacteristic
282#532C2311yescharacteristic
283#529C2311yescharacteristic
284#525—21no—
285#525—21no—
286C2×#121—21no—
287C2×#121—21no—
288#520—21no—
289C2×C4×D4C2311yescharacteristic
290#501—21no—
291#500C2311yescharacteristic
292#500C2311yescharacteristic
293#498D411yescharacteristic
294#498C2311yescharacteristic
295#496—21no—
296#496—21no—
297#496—21no—
298#495—21no—
299#495—21no—
300#495—21no—
301#494C2311yescharacteristic
302#493—21no—
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#493C2311yescharacteristic
306#492D411yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#492C2311yescharacteristic
310#491—21no—
311#491—21no—
312#490—21no—
313#489—21no—
314#489—21no—
315#489—21no—
316#488—21no—
317#488—21no—
318#488—21no—
319#488—21no—
320#488—21no—
321#488—21no—
322#487—21no—
323#487D411yescharacteristic
324#487C2311yescharacteristic
325#487C2311yescharacteristic
326#487C2311yescharacteristic
327#487C2311yescharacteristic
328#487C2311yescharacteristic
329#486—21no—
330#486D411yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
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#484D411yescharacteristic
347#483—21no—
348#483—21no—
349#483—21no—
350#482—21no—
351#482—21no—
352#482—21no—
353#482—21no—
354#482—21no—
355#482—21no—
356#481—21no—
357#481—21no—
358#481—21no—
359#481—21no—
360#481D411yescharacteristic
361#480—21no—
362#479—21no—
363#479—21no—
364#478—21no—
365#478—21no—
366#478D411yescharacteristic
367#478D411yescharacteristic
368#477—21no—
369#477C2311yescharacteristic
370#477C2311yescharacteristic
371#476—21no—
372#476—21no—
373#476C2311yescharacteristic
374#476C2311yescharacteristic
375#475—21no—
376#475C2311yescharacteristic
377#475C2311yescharacteristic
378#475C2311yescharacteristic
379#475C2311yescharacteristic
380#474—21no—
381#474—21no—
382#474C2311yescharacteristic
383#474C2311yescharacteristic
384#474C2311yescharacteristic
385#474C2311yescharacteristic
386#470—21no—
387#470—21no—
388#469—21no—
389#469—21no—
390#469—21no—
391#469—21no—
392#469—21no—
393#469—21no—
394#469—41no—
395#468—21no—
396#468—21no—
397#468—21no—
398#468—21no—
399#468—21no—
400#468—21no—
401#468—41no—
402#467—21no—
403#466—21no—
404#466—21no—
405#466—21no—
406#466—21no—
407#466—21no—
408#465—21no—
409#465—21no—
410#465—21no—
411#465—21no—
412#465—21no—
413#465—21no—
414#465D411yescharacteristic
415#465D411yescharacteristic
416#465D411yescharacteristic
417#465D411yescharacteristic
418#464—21no—
419#464—21no—
420#464—21no—
421#464—21no—
422#463—21no—
423#463—21no—
424#463—21no—
425#463—21no—
426#463—21no—
427#463—21no—
428#463—21no—
429#463—21no—
430#463D411yescharacteristic
431#463D411yescharacteristic
432#462C2311yescharacteristic
433#462C2311yescharacteristic
434#461—21no—
435#461—21no—
436#461—21no—
437#461C2311yescharacteristic
438#461C2311yescharacteristic
439#461C2311yescharacteristic
440#461C2311yescharacteristic
441#461C2311yescharacteristic
442#461C2311yescharacteristic
443#460—21no—
444#460—21no—
445#460C2311yescharacteristic
446#460C2311yescharacteristic
447#460C2311yescharacteristic
448#460C2311yescharacteristic
449#459—21no—
450#459—21no—
451#459—21no—
452#459—21no—
453#459—21no—
454#459C2311yescharacteristic
455#459C2311yescharacteristic
456#459C2311yescharacteristic
457#459C2311yescharacteristic
458#459C2311yescharacteristic
459#459C2311yescharacteristic
460#459C2311yescharacteristic
461#459C2311yescharacteristic
462#452—21no—
463#452—21no—
464#452—21no—
465#452—21no—
466#452—21no—
467#452—21no—
468#452—21no—
469#452—21no—
470#451—21no—
471#450—21no—
472#450—21no—
473#450—21no—
474#450—21no—
475#450—21no—
476#450—21no—
477#450D411yescharacteristic
478#449—21no—
479#449—21no—
480#449—21no—
481#449—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#448—21no—
493#448—21no—
494#448—21no—
495#447—21no—
496#447—21no—
497#447—21no—
498#447—21no—
499#447D411yescharacteristic
500#446—21no—
501#446C2311yescharacteristic
502#446C2311yescharacteristic
503#446C2311yescharacteristic
504C8×Q8—21no—
505C8×Q8C2311yescharacteristic
506C8×Q8C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508#442—21no—
509#442—21no—
510#442—41no—
511#440—21no—
512#440—21no—
513#440—21no—
514#440—21no—
515#440—41no—
516C4×Q16—21no—
517C4×SD16—21no—
518C4×SD16—21no—
519C4×SD16—21no—
520C4×SD16—21no—
521C4×SD16C2311yescharacteristic
522C4×SD16C2311yescharacteristic
523C4×SD16C2311yescharacteristic
524C4×SD16C2311yescharacteristic
525C4×SD16C2311yescharacteristic
526C4×SD16C2311yescharacteristic
527C4×D8—21no—
528C4×D8—21no—
529C4×D8—21no—
530C4×D8—21no—
531C4×D8—21no—
532C4×D8—21no—
533C4×D8—21no—
534C4×D8C2311yescharacteristic
535C4×D8C2311yescharacteristic
536#436—21no—
537#436—21no—
538#436—21no—
539#436C2311yescharacteristic
540#436C2311yescharacteristic
541#436C2311yescharacteristic
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#435—21no—
547C8×D4—21no—
548C8×D4—21no—
549C8×D4C2311yescharacteristic
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552#433—21no—
553#433—21no—
554#433—21no—
555#432C2311yescharacteristic
556#431C2311yescharacteristic
557#431C2311yescharacteristic
558#431C2311yescharacteristic
559#428—21no—
560#428—21no—
561C2×C4⋊C8C2311yescharacteristic
562#419—21no—
563#418—21no—
564#418—21no—
565#418—21no—
566#417—21no—
567#417—21no—
568#417—21no—
569#417—21no—
570#416—21no—
571#416—21no—
572#416—21no—
573#416—21no—
574C2×#103—21no—
575C2×#102—21no—
576#408—21no—
577#408—21no—
578C2×C22⋊C8—21no—
579#405—21no—
580C4×M16C2311yescharacteristic
581C2×C4×C8C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
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#331C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
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
626H(5,𝔽2)—82no—
627H(5,𝔽2)—82no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—21no—
636C2×#41—21no—
637C2×#41—21no—
638C2×#41—41no—
639C22×Q8—21no—
640C22×Q8—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—41no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4C2×D411yescharacteristic
649C23×C4—21no—
650#137—82no—
651AGL(1,ℤ/8)—82no—
652AGL(1,ℤ/8)—82no—
653AGL(1,ℤ/8)—82no—
654#135—82no—
655C2×Q16—21no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—41no—
674C2×SD16—82no—
675C2×SD16C2×D411yescharacteristic
676C2×SD16C2×D411yescharacteristic
677C2×SD16C2×D411yescharacteristic
678C2×SD16C2×D411yescharacteristic
679C2×SD16C2×D411yescharacteristic
680C2×SD16C2×D411yescharacteristic
681C2×D8—21no—
682C2×D8—21no—
683C2×D8—21no—
684C2×D8—21no—
685C2×D8—21no—
686C2×D8—21no—
687C2×D8—21no—
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—41no—
694C2×D8C2×D411yescharacteristic
695C2×D8C2×D411yescharacteristic
696C2×M16—21no—
697C2×M16—21no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—21no—
703C2×M16—21no—
704C2×M16—82no—
705C22×C8—21no—
706C22×C8—21no—
707C22×C8—21no—
708C22×C8—21no—
709C22×C8C2×D411yescharacteristic
710C22×C8C2×D411yescharacteristic
711C4⋊Q8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—21no—
714C4⋊Q8—41no—
715C4⋊Q8C2×D411yescharacteristic
716C4⋊Q8C2×D411yescharacteristic
717C4⋊Q8C2×D411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722C4⋊Q8C2411yescharacteristic
723#127—21no—
724#127—21no—
725#127—21no—
726#127C2×D411yescharacteristic
727#127C2411yescharacteristic
728#127C2411yescharacteristic
729#127C2411yescharacteristic
730#126—21no—
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#125C2×D411yescharacteristic
742#124—21no—
743#124—21no—
744#124—21no—
745#124—21no—
746#124—21no—
747#124—21no—
748#124—21no—
749#124—21no—
750#124—41no—
751#124—41no—
752#124—41no—
753#124—41no—
754#124—41no—
755#124—41no—
756#124—41no—
757#124C2×D411yescharacteristic
758#123—21no—
759#123—41no—
760#123—41no—
761#123—41no—
762#123—41no—
763#123—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773#123—41no—
774#123—41no—
775#123—41no—
776#123—41no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—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⋊Q8C2×D411yescharacteristic
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—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#121—41no—
829#121—41no—
830#121—41no—
831#121—41no—
832#121—41no—
833#121—41no—
834#121—41no—
835#121—41no—
836#121C2×D411yescharacteristic
837#121C2×D411yescharacteristic
838#121C2×D411yescharacteristic
839#120—41no—
840#120—41no—
841#120—41no—
842#120—41no—
843#120—41no—
844#120—41no—
845C4×Q8—21no—
846C4×Q8—21no—
847C4×Q8—21no—
848C4×Q8—21no—
849C4×Q8—21no—
850C4×Q8—21no—
851C4×Q8—21no—
852C4×Q8C2411yescharacteristic
853C4×Q8C2411yescharacteristic
854C4×Q8C2411yescharacteristic
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—21no—
872C4×D4—21no—
873C4×D4—41no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4—41no—
878C4×D4—41no—
879C4×D4C2×D411yescharacteristic
880C4×D4C2×D411yescharacteristic
881C4×D4C2411yescharacteristic
882C4×D4C2411yescharacteristic
883C4×D4C2411yescharacteristic
884C4×D4C2411yescharacteristic
885C4×D4C2411yescharacteristic
886#117—21no—
887#117—21no—
888#117—21no—
889#117—21no—
890#117—21no—
891#117—21no—
892#117—21no—
893#117—41no—
894#117—41no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—41no—
900C2×C4⋊C4—41no—
901C2×C4⋊C4C2×D411yescharacteristic
902C2×C22⋊C4—21no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C42C2411yescharacteristic
906#107—21no—
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107—21no—
913#107—21no—
914#107—41no—
915#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—41no—
924#106C2×D411yescharacteristic
925#106C2×D411yescharacteristic
926#106C2×D411yescharacteristic
927#106C2×D411yescharacteristic
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930C4⋊C8—21no—
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8C2×D411yescharacteristic
938C4⋊C8C2×D411yescharacteristic
939C4⋊C8C2411yescharacteristic
940C4⋊C8C2411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947#103—21no—
948#103—21no—
949#103—21no—
950#103—21no—
951#103—21no—
952#103—21no—
953#103—21no—
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—41no—
970#103C2×D411yescharacteristic
971#103C2×D411yescharacteristic
972#103C2×D411yescharacteristic
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#102—21no—
977#102—21no—
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—41no—
1007#102—41no—
1008#102—41no—
1009#102C2×D411yescharacteristic
1010#102C2×D411yescharacteristic
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019C22⋊C8—21no—
1020C22⋊C8—21no—
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8C2×D411yescharacteristic
1033C22⋊C8C2×D411yescharacteristic
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039C4×C8—21no—
1040C4×C8—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—
1054C24—41no—
1055#41—42no—
1056#41—42no—
1057#41—81no—
1058#41—81no—
1059#41—81no—
1060#41—81no—
1061#41—81no—
1062#41—81no—
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—81no—
1073#41—81no—
1074#41—81no—
1075#41—84no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
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×D4—21no—
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—41no—
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—42no—
1120C2×D4—42no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—84no—
1135C2×D4—84no—
1136C2×D4—84no—
1137C2×D4C22×D411yescharacteristic
1138C2×D4C22×D411yescharacteristic
1139C2×D4C22×D411yescharacteristic
1140C2×D4C22×D411yescharacteristic
1141C2×D4C22×D411yescharacteristic
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—81no—
1164C22×C4—81no—
1165C22×C4C22×D411yescharacteristic
1166C22×C4C22×D411yescharacteristic
1167C22×C4H(5,𝔽2)11yescharacteristic
1168Q16—81no—
1169Q16—81no—
1170Q16—81no—
1171Q16—81no—
1172SD16—41no—
1173SD16—41no—
1174SD16—41no—
1175SD16—41no—
1176SD16—41no—
1177SD16—41no—
1178SD16—42no—
1179SD16—42no—
1180SD16—81no—
1181SD16—81no—
1182SD16—81no—
1183SD16—81no—
1184SD16—81no—
1185SD16—81no—
1186SD16—81no—
1187SD16—81no—
1188SD16—81no—
1189SD16—81no—
1190SD16—81no—
1191SD16—81no—
1192SD16—82no—
1193D8—41no—
1194D8—41no—
1195D8—42no—
1196D8—81no—
1197D8—81no—
1198D8—81no—
1199D8—81no—
1200D8—81no—
1201D8—81no—
1202D8—81no—
1203D8—81no—
1204D8—81no—
1205D8—81no—
1206D8—81no—
1207D8—82no—
1208M16—42no—
1209M16—42no—
1210M16—81no—
1211M16—81no—
1212M16—81no—
1213M16—81no—
1214M16—81no—
1215M16—81no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—41no—
1227C2×C8—41no—
1228C2×C8—81no—
1229C2×C8—81no—
1230C2×C8—81no—
1231C2×C8—81no—
1232C2×C8C22×D411yescharacteristic
1233C2×C8C22×D411yescharacteristic
1234C2×C8C22×D411yescharacteristic
1235C2×C8C22×D411yescharacteristic
1236C2×C8C22×D411yescharacteristic
1237C2×C8C22×D411yescharacteristic
1238C2×C8C22×D411yescharacteristic
1239C2×C8C22×D411yescharacteristic
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—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—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4C22×D411yescharacteristic
1278C4⋊C4C22×D411yescharacteristic
1279C4⋊C4C22×D411yescharacteristic
1280C4⋊C4C22×D411yescharacteristic
1281C4⋊C4C22×D411yescharacteristic
1282C4⋊C4C22×D411yescharacteristic
1283C4⋊C4C22×D411yescharacteristic
1284C4⋊C4C22×D411yescharacteristic
1285C22⋊C4—21no—
1286C22⋊C4—21no—
1287C22⋊C4—21no—
1288C22⋊C4—21no—
1289C22⋊C4—21no—
1290C22⋊C4—21no—
1291C22⋊C4—21no—
1292C22⋊C4—21no—
1293C22⋊C4—21no—
1294C22⋊C4—21no—
1295C22⋊C4—21no—
1296C22⋊C4—21no—
1297C22⋊C4—21no—
1298C22⋊C4—21no—
1299C22⋊C4—21no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
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—
1327C42—21no—
1328C42—21no—
1329C42—21no—
1330C42—41no—
1331C42—41no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42C22×D411yescharacteristic
1336C42C22×D411yescharacteristic
1337C42H(5,𝔽2)11yescharacteristic
1338C42C2511yescharacteristic
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—42no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—81no—
1349C23—81no—
1350C23—82no—
1351C23—82no—
1352C23—161no—
1353C23—161no—
1354C23—161no—
1355C23—161no—
1356C23D4211yescharacteristic
1357Q8—21no—
1358Q8—21no—
1359Q8—21no—
1360Q8—21no—
1361Q8—21no—
1362Q8—21no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—81no—
1372Q8—81no—
1373Q8—81no—
1374Q8—161no—
1375Q8—161no—
1376D4—21no—
1377D4—21no—
1378D4—21no—
1379D4—21no—
1380D4—21no—
1381D4—21no—
1382D4—21no—
1383D4—21no—
1384D4—21no—
1385D4—21no—
1386D4—42no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—81no—
1400D4—81no—
1401D4—81no—
1402D4—81no—
1403D4—81no—
1404D4—81no—
1405D4—81no—
1406D4—81no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—161no—
1414D4—161no—
1415D4—161no—
1416D4—161no—
1417D4—161no—
1418D4—161no—
1419D4—161no—
1420D4—161no—
1421D4—161no—
1422D4—161no—
1423D4—161no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—81no—
1456C2×C4—81no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—81no—
1460C2×C4—82no—
1461C2×C4—82no—
1462C2×C4—161no—
1463C2×C4—161no—
1464C2×C4—161no—
1465C2×C4—161no—
1466C2×C4—161no—
1467C2×C4—161no—
1468C2×C4—161no—
1469C2×C4—161no—
1470C2×C4—161no—
1471C2×C4D4211yescharacteristic
1472C2×C4D4211yescharacteristic
1473C2×C4D4211yescharacteristic
1474C2×C4C23×D411yescharacteristic
1475C2×C4C23×D411yescharacteristic
1476C2×C4C2×H(5,𝔽2)11yescharacteristic
1477C8—21no—
1478C8—21no—
1479C8—21no—
1480C8—21no—
1481C8—21no—
1482C8—21no—
1483C8—21no—
1484C8—21no—
1485C8—41no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C22—21no—
1496C22—21no—
1497C22—21no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—162no—
1523C22—322no—
1524C22—322no—
1525C22C2×D4211yescharacteristic
1526C4—21no—
1527C4—21no—
1528C4—21no—
1529C4—21no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—81no—
1542C4—81no—
1543C4—81no—
1544C4—81no—
1545C4—81no—
1546C4#358411yescharacteristic
1547C4#358511yescharacteristic
1548C4#358511yescharacteristic
1549C4#358511yescharacteristic
1550C2—41no—
1551C2—81no—
1552C2—81no—
1553C2—81no—
1554C2—81no—
1555C2—81no—
1556C2—161no—
1557C2—161no—
1558C2—161no—
1559C2#6105911yescharacteristic
1560C2#6109211yescharacteristic
1561C2#6110011yescharacteristic
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. #62562C2semidirect
2. #62259C2semidirect
3. #61926C2semidirect
4. #61658C2semidirect
5. #20262C2semidirect
6. #20258C2semidirect
7. #20241C2semidirect
8. #20240C2semidirect
9. #20235C2semidirect
10. #20234C2semidirect
11. #20198C2semidirect
12. #20194C2semidirect
13. #20193C2semidirect
14. #20192C2semidirect
15. #20170C2semidirect
16. #20166C2semidirect
17. #19825C2semidirect
18. #19821C2semidirect
19. #19783C2semidirect
20. #19779C2semidirect
21. #19695C2semidirect
22. #19568C2semidirect
23. #19557C2semidirect
24. #19225C2semidirect
25. #19142C2semidirect
26. #18742C2semidirect
27. #18740C2semidirect
28. #18615C2semidirect
29. #18598C2semidirect
30. #18089C2semidirect
31. #17938C2semidirect
32. #3554C22semidirect
37. #3399C22semidirect
38. #3397C22semidirect
40. #3394C22semidirect
41. #3391C22semidirect
42. #3373C22semidirect
43. #3372C22semidirect
45. #3368C22semidirect
46. #3367C22semidirect
47. #3364C22semidirect
49. #3361C22semidirect
50. #3359C22semidirect
51. #3358C22semidirect
57. #3332C22semidirect
60. #3329C22semidirect
68. #3305C22semidirect
72. #3298C22semidirect
87. #3237C22semidirect
93. #3212C22semidirect
95. #3207C22semidirect
101. #3182C22semidirect
106. #3131C22semidirect
116. #2986C22semidirect
118. #2966C22semidirect
120. #1722C22semidirect
121. #1721C22semidirect
122. #1720C22semidirect
123. #1719C22semidirect
124. #1718C22semidirect
125. #1717C22semidirect
126. #1717C22semidirect
127. #1717C22semidirect
128. #1704C22semidirect
129. #1703C22semidirect
130. #1703C22semidirect
131. #1701C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1699C22semidirect
135. #1699C22semidirect
136. #1699C22semidirect
137. #1698C22semidirect
138. #1697C22semidirect
139. #1697C22semidirect
140. #1694C22semidirect
141. #1693C22semidirect
142. #1690C22semidirect
143. #1688C22semidirect
144. #1687C22semidirect
145. #1687C22semidirect
146. #1686C22semidirect
147. #1685C22semidirect
148. #1684C22semidirect
149. #1682C22semidirect
150. #1682C22semidirect
151. #1681C22semidirect
152. #1681C22semidirect
153. #1681C22semidirect
154. #1679C22semidirect
155. #1678C22semidirect
156. #1670C22semidirect
157. #1667C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
162. #1653C22semidirect
163. #1651C22semidirect
164. #1650C22semidirect
165. #1650C22semidirect
166. #1649C22semidirect
167. #1647C22semidirect
168. #1646C22semidirect
169. #1644C22semidirect
170. #1642C22semidirect
171. #1642C22semidirect
172. #1642C22semidirect
173. #1640C22semidirect
176. #1638C22semidirect
177. #1638C22semidirect
178. #1631C22semidirect
179. #1631C22semidirect
180. #1627C22semidirect
181. #1627C22semidirect
182. #1626C22semidirect
185. #1625C22semidirect
186. #1624C22semidirect
187. #1622C22semidirect
188. #1621C22semidirect
189. #1620C22semidirect
192. #1594C22semidirect
193. #1594C22semidirect
194. #1592C22semidirect
195. #1592C22semidirect
196. #1592C22semidirect
197. #1592C22semidirect
198. #1583C22semidirect
199. #1583C22semidirect
200. #1583C22semidirect
201. #1583C22semidirect
202. #1582C22semidirect
203. #1582C22semidirect
204. #1581C22semidirect
205. #1581C22semidirect
206. SD16⋊C8C22semidirect
207. SD16⋊C8C22semidirect
208. #1573C22semidirect
209. #1564C22semidirect
211. #1553C22semidirect
212. #1542C22semidirect
213. #1540C22semidirect
215. #1485C22semidirect
217. #1483C22semidirect
218. #1451C22semidirect

Maximal subgroups

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

subgroupindex
#625622
#622592
#619262
#616582
#202622
#202582
#202412
#202402
#202352
#202342
#201982
#201942
#201932
#201922
#201702
#201662
#198252
#198212
#197832
#197792
#196952
#195682
#195572
#192252
#191422
#187422
#187402
#186152
#185982
#180892
#179382