Finite Group Databasebeta

← #6369274

Subgroups — #6369274

Order 512.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61979C211yesmaximal, characteristic, complemented
2#61599C211yesmaximal, characteristic, complemented
3#61451C211yesmaximal, characteristic, complemented
4#61205C211yesmaximal, characteristic, complemented
5#20298C211yesmaximal, characteristic, complemented
6#20260C211yesmaximal, characteristic, complemented
7#20256C211yesmaximal, characteristic, complemented
8#20191C211yesmaximal, characteristic, complemented
9#20175C211yesmaximal, characteristic, complemented
10#20138C211yesmaximal, characteristic, complemented
11#20069C211yesmaximal, characteristic, complemented
12#20053C211yesmaximal, characteristic, complemented
13#20025C211yesmaximal, characteristic, complemented
14#19968C211yesmaximal, characteristic, complemented
15#19911C211yesmaximal, characteristic, complemented
16#19911C211yesmaximal, characteristic, complemented
17#19792C211yesmaximal, characteristic, complemented
18#19788C211yesmaximal, characteristic, complemented
19#19771C211yesmaximal, characteristic, complemented
20#19755C211yesmaximal, characteristic, complemented
21#19729C211yesmaximal, characteristic, complemented
22#19481C211yesmaximal, characteristic, complemented
23#19458C211yesmaximal, characteristic, complemented
24#19370C211yesmaximal, characteristic, complemented
25#19316C211yesmaximal, characteristic, complemented
26#18857C211yesmaximal, characteristic, complemented
27#18814C211yesmaximal, characteristic, complemented
28#18786C211yesmaximal, characteristic, complemented
29#18755C211yesmaximal, characteristic, complemented
30#18050C211yesmaximal, characteristic, complemented
31#18007C211yesmaximal, characteristic, complemented
32#3506C2211yescharacteristic, complemented
33#3498C2211yescharacteristic, complemented
34#3481C2211yescharacteristic
35D4×#41C2211yescharacteristic, complemented
36#3399C2211yescharacteristic, complemented
37#3399C2211yescharacteristic, complemented
38#3399C2211yescharacteristic, complemented
39#3384C2211yescharacteristic, complemented
40#3373C2211yescharacteristic, complemented
41#3366C2211yescharacteristic, complemented
42#3366C2211yescharacteristic, complemented
43#3366C2211yescharacteristic, complemented
44#3345—21no—
45#3335C2211yescharacteristic, complemented
46#3332C2211yescharacteristic, complemented
47#3332C2211yescharacteristic, complemented
48#3329C2211yescharacteristic, complemented
49#3325C2211yescharacteristic
50#3325C2211yescharacteristic, complemented
51#3325C2211yescharacteristic, complemented
52#3318—21no—
53#3318—21no—
54#3318—21no—
55#3318—21no—
56#3318—21no—
57#3313—21no—
58#3311—21no—
59#3309—21no—
60#3309—21no—
61#3306—21no—
62#3305C2211yescharacteristic, complemented
63#3305C2211yescharacteristic, complemented
64#3305C2211yescharacteristic, complemented
65#3303C2211yescharacteristic, complemented
66#3295C2211yescharacteristic, complemented
67#3295C2211yescharacteristic, complemented
68#3295C2211yescharacteristic, complemented
69#3294C2211yescharacteristic
70#3294C2211yescharacteristic, complemented
71#3294C2211yescharacteristic, complemented
72#3284C2211yescharacteristic, complemented
73#3283C2211yescharacteristic, complemented
74D4×D8C2211yescharacteristic, complemented
75D4×D8C2211yescharacteristic, complemented
76D4×D8C2211yescharacteristic, complemented
77#3276C2211yescharacteristic, complemented
78#3272C2211yescharacteristic, complemented
79#3271—21no—
80#3268—21no—
81#3264—21no—
82#3264—21no—
83#3264—21no—
84#3253C2211yescharacteristic, complemented
85#3247—21no—
86#3217—21no—
87#3214C2211yescharacteristic, complemented
88#3210C2211yescharacteristic, complemented
89#3210C2211yescharacteristic, complemented
90#3205C2211yescharacteristic, complemented
91#3205C2211yescharacteristic, complemented
92#3197—21no—
93#3191—21no—
94#3184C2211yescharacteristic, complemented
95#3180—21no—
96#3138C2211yescharacteristic, complemented
97#3116C2211yescharacteristic, complemented
98#3115C2211yescharacteristic
99#3114—21no—
100#3109—21no—
101#3109—21no—
102#3109C2211yescharacteristic, complemented
103#3106C2211yescharacteristic
104#3096—21no—
105#3076C2211yescharacteristic, complemented
106#3058—21no—
107#3038C2211yescharacteristic
108C2×#459—21no—
109C2×#459C2211yescharacteristic, complemented
110#3008—21no—
111#3005—21no—
112#3002—21no—
113#2990C2211yescharacteristic, complemented
114#2974C2211yescharacteristic, complemented
115#2970C2211yescharacteristic, complemented
116C4×AGL(1,ℤ/8)C2211yescharacteristic
117C2×#442—21no—
118#2935C2211yescharacteristic, complemented
119#2897—21no—
120#1721C2211yescharacteristic, complemented
121#1721C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1720C2211yescharacteristic, complemented
124#1717C2211yescharacteristic, complemented
125#1717C2211yescharacteristic, complemented
126#1709C2211yescharacteristic, complemented
127#1709C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1698C2211yescharacteristic, complemented
133#1698C2211yescharacteristic, complemented
134#1698C2211yescharacteristic, complemented
135#1697C2211yescharacteristic, complemented
136#1697C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1691C2211yescharacteristic, complemented
139#1690C2211yescharacteristic, complemented
140#1687C2211yescharacteristic, complemented
141#1687C2211yescharacteristic, complemented
142#1687C2211yescharacteristic, complemented
143#1686C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1681C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1677C2211yescharacteristic, complemented
149#1677C2211yescharacteristic, complemented
150#1677C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1677C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1671C2211yescharacteristic, complemented
155#1669C2211yescharacteristic, complemented
156#1667C2211yescharacteristic, complemented
157#1667C2211yescharacteristic, complemented
158#1667C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1644C2211yescharacteristic, complemented
161#1643C2211yescharacteristic, complemented
162#1642C2211yescharacteristic, complemented
163#1642C2211yescharacteristic, complemented
164#1640C2211yescharacteristic, complemented
165#1639C2211yescharacteristic, complemented
166#1639C2211yescharacteristic, complemented
167#1639C2211yescharacteristic, complemented
168#1635C2211yescharacteristic, complemented
169#1635C2211yescharacteristic, complemented
170#1634C2211yescharacteristic, complemented
171#1634C2211yescharacteristic, complemented
172#1632C2211yescharacteristic, complemented
173#1632C2211yescharacteristic, complemented
174#1630C2211yescharacteristic, complemented
175#1629C2211yescharacteristic, complemented
176#1627C2211yescharacteristic, complemented
177#1627C2211yescharacteristic, complemented
178#1625C2211yescharacteristic, complemented
179#1625C2211yescharacteristic, complemented
180#1625C2211yescharacteristic, complemented
181#1625C2211yescharacteristic, complemented
182#1624C2211yescharacteristic, complemented
183#1624C2211yescharacteristic, complemented
184#1621C2211yescharacteristic, complemented
185#1621C2211yescharacteristic, complemented
186#1621C2211yescharacteristic, complemented
187#1621C2211yescharacteristic, complemented
188#1619C2211yescharacteristic, complemented
189#1619C2211yescharacteristic, complemented
190#1619C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1592C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1586C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1585C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1582C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1580C2211yescharacteristic, complemented
206C8×D8C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1559C2211yescharacteristic, complemented
211#1555C2211yescharacteristic, complemented
212#1551C2211yescharacteristic, complemented
213#1547C2211yescharacteristic, complemented
214#1496C2211yescharacteristic, complemented
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic, complemented
217#1477C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C22×#41—21no—
221C2×#137—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)D411yescharacteristic
225C2×#135—21no—
226C2×#135—21no—
227C22×D8—21no—
228C22×D8—21no—
229C22×D8—21no—
230C22×D8—21no—
231C2×#131—21no—
232#559—41no—
233#559C2311yescharacteristic
234#556—21no—
235#555C2311yescharacteristic
236#555C2311yescharacteristic
237#554C2311yescharacteristic
238#554C2311yescharacteristic
239#553—21no—
240#553—21no—
241#553—21no—
242#553—21no—
243#551—41no—
244#550—21no—
245#550—21no—
246#550C2311yescharacteristic
247#550C2311yescharacteristic
248#550C2311yescharacteristic
249D4×Q8C2311yescharacteristic
250#548—21no—
251#547—21no—
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#546—21no—
256#546—21no—
257#546—21no—
258#546—41no—
259D42—21no—
260D42—21no—
261D42—21no—
262D42—21no—
263D42—41no—
264D42C2311yescharacteristic
265D42C2311yescharacteristic
266D42C2311yescharacteristic
267D42C2311yescharacteristic
268#538—41no—
269#535—21no—
270#535—21no—
271#535—41no—
272#533C2311yescharacteristic
273#532—21no—
274#532—21no—
275#532C2311yescharacteristic
276#532C2311yescharacteristic
277#532C2311yescharacteristic
278C2×#127—21no—
279C2×#127C2311yescharacteristic
280#529—21no—
281#529—21no—
282#525—21no—
283#525—21no—
284#525—21no—
285#525—41no—
286#525—41no—
287#520—21no—
288C4×#41C2311yescharacteristic
289C4×#41C2311yescharacteristic
290C2×C4×D4—21no—
291C2×C4×D4—21no—
292C2×C4×D4—21no—
293C2×C4×D4C2311yescharacteristic
294#501—21no—
295#498C2311yescharacteristic
296#496—21no—
297#496—21no—
298#496—21no—
299#496—21no—
300#494C2311yescharacteristic
301#494C2311yescharacteristic
302#493C2311yescharacteristic
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#493C2311yescharacteristic
306#493C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#490—21no—
310#490—21no—
311#490—21no—
312#490—21no—
313#490—21no—
314#489—21no—
315#489—21no—
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#486C2311yescharacteristic
319#486C2311yescharacteristic
320#486C2311yescharacteristic
321#486C2311yescharacteristic
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#485—21no—
331#485—21no—
332#485—21no—
333#483—21no—
334#482—21no—
335#482—21no—
336#482—21no—
337#482—21no—
338#482—21no—
339#482—21no—
340#482—21no—
341#482D411yescharacteristic
342#482D411yescharacteristic
343#481—21no—
344#481—21no—
345#481—21no—
346#481—21no—
347#481—21no—
348#481—21no—
349#481—21no—
350#480—21no—
351#480—21no—
352#480—21no—
353#479—21no—
354#478—21no—
355#478—21no—
356#478—21no—
357#478—21no—
358#478—21no—
359#477D411yescharacteristic
360#477C2311yescharacteristic
361#477C2311yescharacteristic
362#476—21no—
363#476—21no—
364#476—21no—
365#476D411yescharacteristic
366#476C2311yescharacteristic
367#476C2311yescharacteristic
368#476C2311yescharacteristic
369#476C2311yescharacteristic
370#476C2311yescharacteristic
371#476C2311yescharacteristic
372#475C2311yescharacteristic
373#475C2311yescharacteristic
374#474C2311yescharacteristic
375#474C2311yescharacteristic
376#470—21no—
377#469—21no—
378#469—21no—
379#469—21no—
380#469—21no—
381#469—21no—
382#469—21no—
383#469—21no—
384#469—21no—
385#469—21no—
386#468—21no—
387#468—21no—
388#467—21no—
389#466—21no—
390#466—21no—
391#466—21no—
392#466—21no—
393#466—21no—
394#466—21no—
395#466—21no—
396#466—21no—
397#466—21no—
398#465—21no—
399#465—21no—
400#465—21no—
401#465—21no—
402#465—21no—
403#465—21no—
404#464—21no—
405#464—21no—
406#464—41no—
407#463—21no—
408#463—21no—
409#463—21no—
410#463—21no—
411#462C2311yescharacteristic
412#461C2311yescharacteristic
413#461C2311yescharacteristic
414#461C2311yescharacteristic
415#460—21no—
416#460D411yescharacteristic
417#460C2311yescharacteristic
418#460C2311yescharacteristic
419#460C2311yescharacteristic
420#459—21no—
421#459—21no—
422#459—21no—
423#459—21no—
424#459—21no—
425#459—21no—
426#459—21no—
427#459—21no—
428#459—21no—
429#459—21no—
430#459—21no—
431#459—21no—
432#459—41no—
433#459D411yescharacteristic
434#459C2311yescharacteristic
435#459C2311yescharacteristic
436#459C2311yescharacteristic
437#459C2311yescharacteristic
438#459C2311yescharacteristic
439#459C2311yescharacteristic
440#459C2311yescharacteristic
441#459C2311yescharacteristic
442#459C2311yescharacteristic
443#459C2311yescharacteristic
444#459C2311yescharacteristic
445#459C2311yescharacteristic
446#459C2311yescharacteristic
447#452—21no—
448#452—21no—
449#452—21no—
450#452—21no—
451#452—21no—
452#452—21no—
453#452—21no—
454#452—41no—
455#451—21no—
456#450—21no—
457#450—21no—
458#450—21no—
459#450—21no—
460#449—21no—
461#449—21no—
462#449—21no—
463#449—21no—
464#449—21no—
465#449—21no—
466#449—21no—
467#449—21no—
468#449—21no—
469#449—21no—
470#449—21no—
471#449D411yescharacteristic
472#449D411yescharacteristic
473#448—21no—
474#447—21no—
475#447—21no—
476#447—21no—
477#447—21no—
478#447—21no—
479#447—21no—
480#447—21no—
481#447—21no—
482#447—21no—
483#447—21no—
484#447—21no—
485#447—21no—
486#447—21no—
487#447—21no—
488#447—21no—
489#447—41no—
490#446C2311yescharacteristic
491#446C2311yescharacteristic
492#446C2311yescharacteristic
493#446C2311yescharacteristic
494#442—21no—
495#442—21no—
496#442—21no—
497#442—21no—
498#442—21no—
499#442—21no—
500#442—21no—
501#442—21no—
502#442—21no—
503#442—21no—
504#442—21no—
505#442—21no—
506#442—21no—
507#442D411yescharacteristic
508#442D411yescharacteristic
509#441—21no—
510#440—21no—
511#440—21no—
512#440D411yescharacteristic
513#440D411yescharacteristic
514C4×SD16C2311yescharacteristic
515C4×SD16C2311yescharacteristic
516C4×SD16C2311yescharacteristic
517C4×SD16C2311yescharacteristic
518C4×D8C2311yescharacteristic
519C4×D8C2311yescharacteristic
520C4×D8C2311yescharacteristic
521C4×D8C2311yescharacteristic
522#436C2311yescharacteristic
523#436C2311yescharacteristic
524#436C2311yescharacteristic
525#436C2311yescharacteristic
526#435—21no—
527#435—21no—
528#435—21no—
529#435—21no—
530#435—21no—
531#435—21no—
532#435—21no—
533#435—21no—
534C8×D4C2311yescharacteristic
535C8×D4C2311yescharacteristic
536C8×D4C2311yescharacteristic
537C8×D4C2311yescharacteristic
538C8×D4C2311yescharacteristic
539C8×D4C2311yescharacteristic
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic
542#432—21no—
543#432—21no—
544#432C2311yescharacteristic
545#432C2311yescharacteristic
546#431C2311yescharacteristic
547#431C2311yescharacteristic
548#428D411yescharacteristic
549#427—21no—
550C2×#106—21no—
551#423C2311yescharacteristic
552C2×C4⋊C8—21no—
553C2×C4⋊C8C2311yescharacteristic
554#419—21no—
555#418—21no—
556#418—21no—
557#418—21no—
558#418—21no—
559#418—21no—
560#418—21no—
561#418D411yescharacteristic
562#417—21no—
563#417—21no—
564#417D411yescharacteristic
565#416—21no—
566#416—21no—
567#416—21no—
568#416—21no—
569#416—21no—
570C2×#102—21no—
571C2×#102—21no—
572C2×#102—21no—
573C2×#102—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577#408—21no—
578#407—21no—
579C2×C22⋊C8—21no—
580C4×M16C2311yescharacteristic
581C2×#97—21no—
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#331C2311yescharacteristic
599#331C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610D4⋊C8C2311yescharacteristic
611D4⋊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
625C82C2311yescharacteristic
626H(5,𝔽2)—44no—
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—41no—
638C2×#41—41no—
639C2×#41—41no—
640C2×#41—82no—
641C2×#41—82no—
642C2×#41C2×D411yescharacteristic
643C2×#41C2×D411yescharacteristic
644C22×Q8—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—21no—
656C22×D4—41no—
657C22×D4—41no—
658C22×D4—41no—
659C22×D4—41no—
660C22×D4—41no—
661C22×D4C2×D411yescharacteristic
662C23×C4—21no—
663C23×C4—41no—
664C23×C4—41no—
665#137—82no—
666AGL(1,ℤ/8)—42no—
667AGL(1,ℤ/8)—82no—
668AGL(1,ℤ/8)—82no—
669#135—82no—
670#135—82no—
671C2×Q16—21no—
672C2×Q16—21no—
673C2×Q16—21no—
674C2×Q16—41no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—21no—
682C2×SD16—21no—
683C2×SD16—41no—
684C2×SD16C2×D411yescharacteristic
685C2×SD16C2×D411yescharacteristic
686C2×SD16C2×D411yescharacteristic
687C2×SD16C2×D411yescharacteristic
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—21no—
695C2×D8—21no—
696C2×D8—21no—
697C2×D8—21no—
698C2×D8—21no—
699C2×D8—21no—
700C2×D8—21no—
701C2×D8—21no—
702C2×D8—21no—
703C2×D8—21no—
704C2×D8—21no—
705C2×D8—21no—
706C2×D8—21no—
707C2×D8—41no—
708C2×D8—41no—
709C2×D8—44no—
710C2×D8—82no—
711C2×D8—82no—
712C2×D8—82no—
713C2×D8C2×D411yescharacteristic
714C2×D8C2×D411yescharacteristic
715C2×D8C2×D411yescharacteristic
716C2×D8C2×D411yescharacteristic
717#131—82no—
718C2×M16—21no—
719C2×M16—21no—
720C2×M16—21no—
721C2×M16—21no—
722C2×M16—21no—
723C2×M16C2×D411yescharacteristic
724C2×M16C2×D411yescharacteristic
725C22×C8—21no—
726C22×C8—21no—
727C22×C8—21no—
728C22×C8—21no—
729C22×C8—21no—
730C22×C8—21no—
731C22×C8—21no—
732C22×C8—21no—
733C22×C8—21no—
734C4⋊Q8—21no—
735C4⋊Q8C2×D411yescharacteristic
736C4⋊Q8C2411yescharacteristic
737C4⋊Q8C2411yescharacteristic
738C4⋊Q8C2411yescharacteristic
739C4⋊Q8C2411yescharacteristic
740#127—21no—
741#127—21no—
742#127—21no—
743#127—21no—
744#127—21no—
745#127—21no—
746#127—41no—
747#127—41no—
748#127—41no—
749#127C2×D411yescharacteristic
750#127C2411yescharacteristic
751#127C2411yescharacteristic
752#127C2411yescharacteristic
753#127C2411yescharacteristic
754#126—41no—
755#126—41no—
756#126—41no—
757#126—41no—
758#125—21no—
759#125—21no—
760#125—21no—
761#124—21no—
762#124—21no—
763#124—21no—
764#124—21no—
765#124—21no—
766#124—41no—
767#124—41no—
768#124—41no—
769#124—41no—
770#124—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—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794#121—21no—
795#121—21no—
796#121—21no—
797#121—21no—
798#121—21no—
799#121—21no—
800#121—21no—
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—41no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121C2×D411yescharacteristic
830#121C2×D411yescharacteristic
831#120—41no—
832#120—41no—
833#120—41no—
834#120—41no—
835#120—41no—
836#120—41no—
837#120—41no—
838#120—41no—
839#120—41no—
840#120—41no—
841#120—41no—
842#120—41no—
843#120—41no—
844C4×Q8—21no—
845C4×Q8—21no—
846C4×Q8—41no—
847C4×Q8C2×D411yescharacteristic
848C4×Q8C2×D411yescharacteristic
849C4×Q8C2411yescharacteristic
850C4×Q8C2411yescharacteristic
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—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—41no—
871C4×D4—41no—
872C4×D4—41no—
873C4×D4—41no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4—41no—
878C4×D4—41no—
879C4×D4—41no—
880C4×D4—41no—
881C4×D4—41no—
882C4×D4—41no—
883C4×D4C2×D411yescharacteristic
884C4×D4C2×D411yescharacteristic
885C4×D4C2×D411yescharacteristic
886C4×D4C2×D411yescharacteristic
887C4×D4C2411yescharacteristic
888C4×D4C2411yescharacteristic
889C4×D4C2411yescharacteristic
890C4×D4C2411yescharacteristic
891C4×D4C2411yescharacteristic
892C4×D4C2411yescharacteristic
893#117—21no—
894#117—21no—
895#117—21no—
896#117—21no—
897#117—21no—
898#117—21no—
899#117—21no—
900#117—41no—
901#117C2×D411yescharacteristic
902#117C2×D411yescharacteristic
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4C2×D411yescharacteristic
909C2×C22⋊C4—21no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C42—21no—
914C2×C42—21no—
915C2×C42C2411yescharacteristic
916#107—21no—
917#107—21no—
918#107—21no—
919#107—21no—
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#106C2×D411yescharacteristic
935#106C2×D411yescharacteristic
936#106C2×D411yescharacteristic
937#106C2×D411yescharacteristic
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8—21no—
943C4⋊C8—21no—
944C4⋊C8—21no—
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2×D411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—41no—
966#103C2×D411yescharacteristic
967#103C2×D411yescharacteristic
968#103C2×D411yescharacteristic
969#103C2×D411yescharacteristic
970#102—21no—
971#102—21no—
972#102—21no—
973#102—21no—
974#102—21no—
975#102—21no—
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—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—21no—
1012#102—41no—
1013#102—41no—
1014#102—41no—
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023#102C2×D411yescharacteristic
1024#102C2×D411yescharacteristic
1025#102C2×D411yescharacteristic
1026#102C2×D411yescharacteristic
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8—21no—
1040C22⋊C8—21no—
1041C22⋊C8—21no—
1042C22⋊C8C2×D411yescharacteristic
1043C22⋊C8C2×D411yescharacteristic
1044#97—21no—
1045#97—21no—
1046#97—21no—
1047#97—21no—
1048#97—21no—
1049#97—21no—
1050#97C2×D411yescharacteristic
1051#97C2×D411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C4×C8C2411yescharacteristic
1056C4×C8C2411yescharacteristic
1057C4×C8C2411yescharacteristic
1058C24—21no—
1059C24—41no—
1060C24—41no—
1061C24—41no—
1062C24—41no—
1063C24—41no—
1064#41—22no—
1065#41—22no—
1066#41—41no—
1067#41—41no—
1068#41—42no—
1069#41—42no—
1070#41—42no—
1071#41—42no—
1072#41—42no—
1073#41—42no—
1074#41—81no—
1075#41—81no—
1076#41—81no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—84no—
1081#41—84no—
1082#41—81no—
1083#41—81no—
1084#41—81no—
1085#41—81no—
1086#41—84no—
1087#41—161no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—41no—
1094C2×Q8—42no—
1095C2×Q8—81no—
1096C2×Q8C22×D411yescharacteristic
1097C2×Q8C22×D411yescharacteristic
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
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—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—84no—
1164C2×D4—84no—
1165C2×D4—84no—
1166C2×D4—84no—
1167C2×D4—161no—
1168C2×D4—162no—
1169C2×D4C22×D411yescharacteristic
1170C2×D4C22×D411yescharacteristic
1171C2×D4C22×D411yescharacteristic
1172C2×D4C22×D411yescharacteristic
1173C2×D4C22×D411yescharacteristic
1174C2×D4C22×D411yescharacteristic
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—81no—
1201C22×C4—81no—
1202C22×C4—84no—
1203C22×C4—162no—
1204C22×C4C22×D411yescharacteristic
1205C22×C4C22×D411yescharacteristic
1206C22×C4H(5,𝔽2)11yescharacteristic
1207Q16—42no—
1208Q16—81no—
1209Q16—81no—
1210Q16—161no—
1211SD16—41no—
1212SD16—41no—
1213SD16—41no—
1214SD16—41no—
1215SD16—42no—
1216SD16—81no—
1217SD16—81no—
1218SD16—81no—
1219SD16—81no—
1220SD16—81no—
1221SD16—81no—
1222SD16—81no—
1223SD16—161no—
1224D8—22no—
1225D8—22no—
1226D8—22no—
1227D8—22no—
1228D8—42no—
1229D8—42no—
1230D8—42no—
1231D8—42no—
1232D8—42no—
1233D8—81no—
1234D8—81no—
1235D8—81no—
1236D8—81no—
1237D8—81no—
1238D8—81no—
1239D8—81no—
1240D8—81no—
1241D8—81no—
1242D8—81no—
1243D8—81no—
1244D8—81no—
1245D8—81no—
1246D8—81no—
1247D8—161no—
1248D8—161no—
1249M16—41no—
1250M16—41no—
1251M16—81no—
1252M16—81no—
1253M16—81no—
1254M16—81no—
1255M16—81no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—42no—
1267C2×C8—42no—
1268C2×C8—81no—
1269C2×C8—81no—
1270C2×C8—81no—
1271C2×C8—81no—
1272C2×C8—81no—
1273C2×C8—81no—
1274C2×C8—81no—
1275C2×C8C22×D411yescharacteristic
1276C2×C8C22×D411yescharacteristic
1277C2×C8C22×D411yescharacteristic
1278C2×C8C22×D411yescharacteristic
1279C2×C8C22×D411yescharacteristic
1280C2×C8C22×D411yescharacteristic
1281C2×C8C22×D411yescharacteristic
1282C2×C8C22×D411yescharacteristic
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4C22×D411yescharacteristic
1308C4⋊C4C22×D411yescharacteristic
1309C4⋊C4C22×D411yescharacteristic
1310C4⋊C4C22×D411yescharacteristic
1311C4⋊C4C22×D411yescharacteristic
1312C4⋊C4C22×D411yescharacteristic
1313C4⋊C4C22×D411yescharacteristic
1314C4⋊C4C22×D411yescharacteristic
1315C22⋊C4—21no—
1316C22⋊C4—21no—
1317C22⋊C4—21no—
1318C22⋊C4—21no—
1319C22⋊C4—21no—
1320C22⋊C4—21no—
1321C22⋊C4—21no—
1322C22⋊C4—21no—
1323C22⋊C4—21no—
1324C22⋊C4—21no—
1325C22⋊C4—21no—
1326C22⋊C4—21no—
1327C22⋊C4—21no—
1328C22⋊C4—21no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C42—21no—
1355C42—21no—
1356C42—21no—
1357C42—21no—
1358C42—21no—
1359C42—21no—
1360C42—41no—
1361C42—41no—
1362C42—41no—
1363C42C22×D411yescharacteristic
1364C42C22×D411yescharacteristic
1365C42H(5,𝔽2)11yescharacteristic
1366C42C2511yescharacteristic
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—81no—
1378C23—81no—
1379C23—81no—
1380C23—82no—
1381C23—82no—
1382C23—82no—
1383C23—82no—
1384C23—82no—
1385C23—82no—
1386C23—82no—
1387C23—161no—
1388C23—161no—
1389C23—161no—
1390C23—161no—
1391C23—161no—
1392C23—161no—
1393C23—161no—
1394C23—161no—
1395C23D4211yescharacteristic
1396Q8—21no—
1397Q8—21no—
1398Q8—21no—
1399Q8—21no—
1400Q8—42no—
1401Q8—41no—
1402Q8—41no—
1403Q8—41no—
1404Q8—41no—
1405Q8—81no—
1406Q8—81no—
1407Q8—82no—
1408D4—21no—
1409D4—21no—
1410D4—21no—
1411D4—21no—
1412D4—21no—
1413D4—21no—
1414D4—21no—
1415D4—21no—
1416D4—21no—
1417D4—21no—
1418D4—42no—
1419D4—42no—
1420D4—42no—
1421D4—42no—
1422D4—42no—
1423D4—41no—
1424D4—41no—
1425D4—41no—
1426D4—41no—
1427D4—41no—
1428D4—41no—
1429D4—41no—
1430D4—41no—
1431D4—41no—
1432D4—41no—
1433D4—41no—
1434D4—41no—
1435D4—41no—
1436D4—41no—
1437D4—41no—
1438D4—41no—
1439D4—81no—
1440D4—81no—
1441D4—81no—
1442D4—81no—
1443D4—81no—
1444D4—81no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—82no—
1453D4—82no—
1454D4—82no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—161no—
1459D4—161no—
1460D4—161no—
1461D4—161no—
1462D4—161no—
1463D4—161no—
1464D4—161no—
1465D4—161no—
1466D4—161no—
1467D4—161no—
1468D4—161no—
1469D4#57512yes—
1470D4#57612yes—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—41no—
1486C2×C4—42no—
1487C2×C4—42no—
1488C2×C4—42no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—81no—
1508C2×C4—82no—
1509C2×C4—82no—
1510C2×C4—81no—
1511C2×C4—82no—
1512C2×C4—82no—
1513C2×C4—82no—
1514C2×C4—82no—
1515C2×C4—82no—
1516C2×C4—161no—
1517C2×C4—161no—
1518C2×C4—161no—
1519C2×C4—161no—
1520C2×C4—161no—
1521C2×C4D4211yescharacteristic
1522C2×C4D4211yescharacteristic
1523C2×C4D4211yescharacteristic
1524C2×C4C23×D411yescharacteristic
1525C2×C4C23×D411yescharacteristic
1526C2×C4C2×H(5,𝔽2)11yescharacteristic
1527C8—21no—
1528C8—21no—
1529C8—21no—
1530C8—21no—
1531C8—21no—
1532C8—21no—
1533C8—21no—
1534C8—21no—
1535C8—41no—
1536C8—41no—
1537C8—41no—
1538C8—41no—
1539C8—41no—
1540C8—41no—
1541C8—41no—
1542C8—41no—
1543C8—41no—
1544C8—41no—
1545C22—21no—
1546C22—22no—
1547C22—21no—
1548C22—22no—
1549C22—21no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22—164no—
1579C22—162no—
1580C22—164no—
1581C22—322no—
1582C22—322no—
1583C22—322no—
1584C22C2×D4211yescharacteristic
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—81no—
1600C4—81no—
1601C4—81no—
1602C4—81no—
1603C4C2×#57511yescharacteristic
1604C4C2×#57611yescharacteristic
1605C4#358511yescharacteristic
1606C4#358511yescharacteristic
1607C2—41no—
1608C2—42no—
1609C2—42no—
1610C2—81no—
1611C2—81no—
1612C2—81no—
1613C2—81no—
1614C2—161no—
1615C2—161no—
1616C2—161no—
1617C2—161no—
1618C2#6106611yescharacteristic
1619C2#6107211yescharacteristic
1620C2#6110611yescharacteristic
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. #61979C2semidirect
2. #61599C2semidirect
3. #61451C2semidirect
4. #61205C2semidirect
5. #20298C2semidirect
6. #20260C2semidirect
7. #20256C2semidirect
8. #20191C2semidirect
9. #20175C2semidirect
10. #20138C2semidirect
11. #20069C2semidirect
12. #20053C2semidirect
13. #20025C2semidirect
14. #19968C2semidirect
15. #19911C2semidirect
16. #19911C2semidirect
17. #19792C2semidirect
18. #19788C2semidirect
19. #19771C2semidirect
20. #19755C2semidirect
21. #19729C2semidirect
22. #19481C2semidirect
23. #19458C2semidirect
24. #19370C2semidirect
25. #19316C2semidirect
26. #18857C2semidirect
27. #18814C2semidirect
28. #18786C2semidirect
29. #18755C2semidirect
30. #18050C2semidirect
31. #18007C2semidirect
32. #3506C22semidirect
33. #3498C22semidirect
35. D4×#41C22semidirect
36. #3399C22semidirect
37. #3399C22semidirect
38. #3399C22semidirect
39. #3384C22semidirect
40. #3373C22semidirect
41. #3366C22semidirect
42. #3366C22semidirect
43. #3366C22semidirect
45. #3335C22semidirect
46. #3332C22semidirect
47. #3332C22semidirect
48. #3329C22semidirect
50. #3325C22semidirect
51. #3325C22semidirect
62. #3305C22semidirect
63. #3305C22semidirect
64. #3305C22semidirect
65. #3303C22semidirect
66. #3295C22semidirect
67. #3295C22semidirect
68. #3295C22semidirect
70. #3294C22semidirect
71. #3294C22semidirect
72. #3284C22semidirect
73. #3283C22semidirect
74. D4×D8C22semidirect
75. D4×D8C22semidirect
76. D4×D8C22semidirect
77. #3276C22semidirect
78. #3272C22semidirect
84. #3253C22semidirect
87. #3214C22semidirect
88. #3210C22semidirect
89. #3210C22semidirect
90. #3205C22semidirect
91. #3205C22semidirect
94. #3184C22semidirect
96. #3138C22semidirect
97. #3116C22semidirect
102. #3109C22semidirect
105. #3076C22semidirect
109. C2×#459C22semidirect
113. #2990C22semidirect
114. #2974C22semidirect
115. #2970C22semidirect
118. #2935C22semidirect
120. #1721C22semidirect
121. #1721C22semidirect
122. #1720C22semidirect
123. #1720C22semidirect
124. #1717C22semidirect
125. #1717C22semidirect
126. #1709C22semidirect
127. #1709C22semidirect
128. #1704C22semidirect
129. #1702C22semidirect
130. #1702C22semidirect
131. #1701C22semidirect
132. #1698C22semidirect
133. #1698C22semidirect
134. #1698C22semidirect
135. #1697C22semidirect
136. #1697C22semidirect
137. #1697C22semidirect
138. #1691C22semidirect
139. #1690C22semidirect
140. #1687C22semidirect
141. #1687C22semidirect
142. #1687C22semidirect
143. #1686C22semidirect
144. #1683C22semidirect
145. #1681C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1677C22semidirect
149. #1677C22semidirect
150. #1677C22semidirect
151. #1677C22semidirect
152. #1677C22semidirect
153. #1677C22semidirect
154. #1671C22semidirect
155. #1669C22semidirect
156. #1667C22semidirect
157. #1667C22semidirect
158. #1667C22semidirect
159. #1665C22semidirect
160. #1644C22semidirect
161. #1643C22semidirect
162. #1642C22semidirect
163. #1642C22semidirect
164. #1640C22semidirect
165. #1639C22semidirect
166. #1639C22semidirect
167. #1639C22semidirect
168. #1635C22semidirect
169. #1635C22semidirect
170. #1634C22semidirect
171. #1634C22semidirect
172. #1632C22semidirect
173. #1632C22semidirect
174. #1630C22semidirect
175. #1629C22semidirect
176. #1627C22semidirect
177. #1627C22semidirect
178. #1625C22semidirect
179. #1625C22semidirect
180. #1625C22semidirect
181. #1625C22semidirect
182. #1624C22semidirect
183. #1624C22semidirect
184. #1621C22semidirect
185. #1621C22semidirect
186. #1621C22semidirect
187. #1621C22semidirect
188. #1619C22semidirect
189. #1619C22semidirect
190. #1619C22semidirect
191. #1619C22semidirect
192. #1592C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1590C22semidirect
196. #1586C22semidirect
197. #1586C22semidirect
198. #1585C22semidirect
199. #1585C22semidirect
200. #1582C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. #1580C22semidirect
206. C8×D8C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1569C22semidirect
210. #1559C22semidirect
211. #1555C22semidirect
212. #1551C22semidirect
213. #1547C22semidirect
214. #1496C22semidirect
215. #1488C22semidirect
216. #1486C22semidirect
217. #1477C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#619792
#615992
#614512
#612052
#202982
#202602
#202562
#201912
#201752
#201382
#200692
#200532
#200252
#199682
#199112
#197922
#197882
#197712
#197552
#197292
#194812
#194582
#193702
#193162
#188572
#188142
#187862
#187552
#180502
#180072