Finite Group Databasebeta

← #6369271

Subgroups — #6369271

Order 512.

1745 conjugacy classes of subgroups.

The subgroup lattice has 1595 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62141C211yesmaximal, characteristic, complemented
2#61591C211yesmaximal, characteristic, complemented
3#61543C211yesmaximal, characteristic, complemented
4#61155C211yesmaximal, characteristic, complemented
5#20287C211yesmaximal, characteristic, complemented
6#20259C211yesmaximal, characteristic, complemented
7#20203C211yesmaximal, characteristic, complemented
8#20177C211yesmaximal, characteristic, complemented
9#20175C211yesmaximal, characteristic, complemented
10#20131C211yesmaximal, characteristic, complemented
11#20054C211yesmaximal, characteristic, complemented
12#20040C211yesmaximal, characteristic, complemented
13#20028C211yesmaximal, characteristic, complemented
14#19988C211yesmaximal, characteristic, complemented
15#19898C211yesmaximal, characteristic, complemented
16#19893C211yesmaximal, characteristic, complemented
17#19823C211yesmaximal, characteristic, complemented
18#19775C211yesmaximal, characteristic, complemented
19#19771C211yesmaximal, characteristic, complemented
20#19763C211yesmaximal, characteristic, complemented
21#19715C211yesmaximal, characteristic, complemented
22#19484C211yesmaximal, characteristic, complemented
23#19466C211yesmaximal, characteristic, complemented
24#19380C211yesmaximal, characteristic, complemented
25#19305C211yesmaximal, characteristic, complemented
26#18852C211yesmaximal, characteristic, complemented
27#18811C211yesmaximal, characteristic, complemented
28#18795C211yesmaximal, characteristic, complemented
29#18747C211yesmaximal, characteristic, complemented
30#18050C211yesmaximal, characteristic, complemented
31#18008C211yesmaximal, characteristic, complemented
32#3519C2211yescharacteristic
33#3518C2211yescharacteristic, complemented
34#3475C2211yescharacteristic, complemented
35C2×D42C2211yescharacteristic
36#3397C2211yescharacteristic, complemented
37#3385C2211yescharacteristic, complemented
38#3385C2211yescharacteristic, complemented
39#3384C2211yescharacteristic, complemented
40#3369C2211yescharacteristic, complemented
41#3367C2211yescharacteristic, complemented
42#3362C2211yescharacteristic, complemented
43#3360C2211yescharacteristic, complemented
44#3350—21no—
45#3349—21no—
46#3348—21no—
47#3341C2211yescharacteristic, complemented
48#3341C2211yescharacteristic, complemented
49#3340C2211yescharacteristic, complemented
50#3329C2211yescharacteristic, complemented
51#3326—21no—
52#3325C2211yescharacteristic
53#3325C2211yescharacteristic
54#3325C2211yescharacteristic
55#3325C2211yescharacteristic, complemented
56#3325C2211yescharacteristic, complemented
57#3324—21no—
58#3324C2211yescharacteristic
59#3324C2211yescharacteristic, complemented
60#3319—21no—
61#3318—21no—
62#3318—21no—
63#3318—21no—
64#3318—21no—
65#3311—21no—
66#3310—21no—
67#3310—21no—
68#3303C2211yescharacteristic, complemented
69#3302C2211yescharacteristic, complemented
70#3295C2211yescharacteristic
71#3295C2211yescharacteristic
72#3295C2211yescharacteristic
73#3295C2211yescharacteristic, complemented
74#3294C2211yescharacteristic
75#3294C2211yescharacteristic, complemented
76D4×SD16C2211yescharacteristic, complemented
77D4×D8C2211yescharacteristic
78D4×D8C2211yescharacteristic
79#3274C2211yescharacteristic
80#3274C2211yescharacteristic
81#3265—21no—
82#3264—21no—
83#3264—21no—
84#3252C2211yescharacteristic, complemented
85#3250—21no—
86#3240—21no—
87#3231C2211yescharacteristic, complemented
88#3217C2211yescharacteristic
89#3210C2211yescharacteristic, complemented
90#3208C2211yescharacteristic, complemented
91#3205C2211yescharacteristic
92#3192—21no—
93#3188—21no—
94#3182C2211yescharacteristic, complemented
95#3179—21no—
96#3138C2211yescharacteristic, complemented
97#3126—21no—
98#3118—21no—
99#3111—21no—
100#3109C2211yescharacteristic
101#3106C2211yescharacteristic, complemented
102#3105C2211yescharacteristic
103#3101C2211yescharacteristic
104#3094—21no—
105#3077C2211yescharacteristic
106#3077C2211yescharacteristic, complemented
107#3076—21no—
108#3055—21no—
109#3038C2211yescharacteristic, complemented
110#3003—21no—
111#3003—21no—
112C2×#447—21no—
113#2990C2211yescharacteristic, complemented
114#2974C2211yescharacteristic
115#2969C2211yescharacteristic, complemented
116#2949—21no—
117C4×AGL(1,ℤ/8)C2211yescharacteristic
118D4×M16C2211yescharacteristic, complemented
119C2×#418—21no—
120#1722C2211yescharacteristic, complemented
121#1720C2211yescharacteristic, complemented
122#1719C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1717C2211yescharacteristic, complemented
125#1715C2211yescharacteristic, complemented
126#1711C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1699C2211yescharacteristic, complemented
133#1698C2211yescharacteristic, complemented
134#1698C2211yescharacteristic, complemented
135#1698C2211yescharacteristic, complemented
136#1697C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1695C2211yescharacteristic, complemented
139#1695C2211yescharacteristic, complemented
140#1691C2211yescharacteristic, complemented
141#1688C2211yescharacteristic, complemented
142#1688C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1682C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1679C2211yescharacteristic, complemented
149#1678C2211yescharacteristic, complemented
150#1677C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1677C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1675C2211yescharacteristic, complemented
155#1675C2211yescharacteristic, complemented
156#1671C2211yescharacteristic, complemented
157#1667C2211yescharacteristic, complemented
158#1667C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1646C2211yescharacteristic, complemented
161#1644C2211yescharacteristic, complemented
162#1641C2211yescharacteristic, complemented
163#1639C2211yescharacteristic
164#1639C2211yescharacteristic
165#1639C2211yescharacteristic, complemented
166#1639C2211yescharacteristic, complemented
167#1639C2211yescharacteristic, complemented
168#1638C2211yescharacteristic, complemented
169#1635C2211yescharacteristic, complemented
170#1634C2211yescharacteristic, complemented
171#1634C2211yescharacteristic, complemented
172#1632C2211yescharacteristic, complemented
173#1632C2211yescharacteristic, complemented
174#1631C2211yescharacteristic, complemented
175#1629C2211yescharacteristic
176#1629C2211yescharacteristic
177#1629C2211yescharacteristic, complemented
178#1629C2211yescharacteristic, complemented
179#1629C2211yescharacteristic, complemented
180#1628C2211yescharacteristic, complemented
181#1628C2211yescharacteristic, complemented
182#1628C2211yescharacteristic, complemented
183#1627C2211yescharacteristic, complemented
184#1627C2211yescharacteristic, complemented
185#1625C2211yescharacteristic, complemented
186#1624C2211yescharacteristic, complemented
187#1624C2211yescharacteristic, complemented
188#1624C2211yescharacteristic, complemented
189#1623C2211yescharacteristic, complemented
190#1623C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1592C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1586C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1585C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1580C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1560C2211yescharacteristic, complemented
211#1559C2211yescharacteristic, complemented
212#1554C2211yescharacteristic, complemented
213#1545C2211yescharacteristic, complemented
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic
217#1478C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C23×D4—21no—
220C23×D4—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)D411yescharacteristic
225C22×SD16—21no—
226C22×D8—21no—
227C22×D8—21no—
228C22×M16—21no—
229Q82C2311yescharacteristic, complemented
230#556—21no—
231#556—21no—
232#556—41no—
233#556C2311yescharacteristic
234#556C2311yescharacteristic, complemented
235#555—21no—
236#555C2311yescharacteristic
237#555C2311yescharacteristic
238#555C2311yescharacteristic, complemented
239#554C2311yescharacteristic
240#554C2311yescharacteristic
241#553—21no—
242#553—21no—
243#553—21no—
244#552—21no—
245#552—21no—
246#551—41no—
247#550C2311yescharacteristic
248D4×Q8C2311yescharacteristic, complemented
249#548—21no—
250#547C2311yescharacteristic
251#546—21no—
252#546—21no—
253#546—41no—
254D42—21no—
255D42—21no—
256D42—21no—
257D42—21no—
258D42—21no—
259D42—41no—
260D42C2311yescharacteristic
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263D42C2311yescharacteristic
264D42C2311yescharacteristic
265#542—21no—
266#542—41no—
267#540—21no—
268#538—41no—
269#533—21no—
270#533C2311yescharacteristic
271#533C2311yescharacteristic
272#532C2311yescharacteristic
273C2×#127C2311yescharacteristic
274#529—21no—
275#529—21no—
276#529—41no—
277#529C2311yescharacteristic
278#525—21no—
279#525—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#120—41no—
284#519—21no—
285#518—21no—
286C4×#41—21no—
287C4×#41C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×#117—21no—
291#501—21no—
292#501—21no—
293#501—21no—
294#500C2311yescharacteristic, complemented
295#500C2311yescharacteristic, complemented
296#498C2311yescharacteristic, complemented
297#496—21no—
298#496—21no—
299#494C2311yescharacteristic, complemented
300#493C2311yescharacteristic
301#493C2311yescharacteristic
302#492C2311yescharacteristic
303#492C2311yescharacteristic
304#492C2311yescharacteristic, complemented
305#492C2311yescharacteristic, complemented
306#490—21no—
307#490—21no—
308#490—21no—
309#489—21no—
310#489—21no—
311#488—21no—
312#487C2311yescharacteristic, complemented
313#487C2311yescharacteristic, complemented
314#487C2311yescharacteristic, complemented
315#487C2311yescharacteristic, complemented
316#486—21no—
317#486C2311yescharacteristic
318#486C2311yescharacteristic
319#486C2311yescharacteristic
320#486C2311yescharacteristic
321#486C2311yescharacteristic
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic, complemented
326#486C2311yescharacteristic, complemented
327#485—21no—
328#485—21no—
329#485—21no—
330#485—21no—
331#485—21no—
332#485—21no—
333#484D411yescharacteristic
334#483—21no—
335#482—21no—
336#482—21no—
337#482—21no—
338#482—21no—
339#482—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#481—21no—
349#481—21no—
350#481—21no—
351#481—21no—
352#481—21no—
353#481D411yescharacteristic
354#480—21no—
355#480—21no—
356#479—21no—
357#479—21no—
358#479—21no—
359#479—21no—
360#479—21no—
361#479—21no—
362#478—21no—
363#478—21no—
364#478—21no—
365#478—21no—
366#478—21no—
367#478D411yescharacteristic
368#478D411yescharacteristic
369#477—21no—
370#477C2311yescharacteristic, complemented
371#477C2311yescharacteristic, complemented
372#476—21no—
373#476—21no—
374#476C2311yescharacteristic
375#476C2311yescharacteristic
376#476C2311yescharacteristic
377#476C2311yescharacteristic
378#476C2311yescharacteristic
379#476C2311yescharacteristic
380#476C2311yescharacteristic
381#476C2311yescharacteristic
382#476C2311yescharacteristic, complemented
383#476C2311yescharacteristic, complemented
384#475—21no—
385#474—21no—
386#474—21no—
387#474C2311yescharacteristic
388#474C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#470—21no—
392#469—21no—
393#469—21no—
394#469—21no—
395#469—21no—
396#469—21no—
397#469—21no—
398#469—21no—
399#468—21no—
400#468—21no—
401#468—21no—
402#468—21no—
403#468—21no—
404#468—21no—
405#467—21no—
406#466—21no—
407#466—21no—
408#466—21no—
409#466—21no—
410#466—21no—
411#466—21no—
412#465—21no—
413#465—21no—
414#465—21no—
415#465—21no—
416#465—21no—
417#465—21no—
418#465—21no—
419#464—21no—
420#464—21no—
421#464—41no—
422#463—21no—
423#463—21no—
424#463—21no—
425#463D411yescharacteristic
426#463D411yescharacteristic
427#462C2311yescharacteristic, complemented
428#461C2311yescharacteristic
429#461C2311yescharacteristic
430#461C2311yescharacteristic, complemented
431#460—21no—
432#460—21no—
433#460—21no—
434#460—41no—
435#460C2311yescharacteristic
436#460C2311yescharacteristic
437#460C2311yescharacteristic
438#460C2311yescharacteristic
439#460C2311yescharacteristic, complemented
440#459—21no—
441#459—21no—
442#459—21no—
443#459C2311yescharacteristic
444#459C2311yescharacteristic
445#459C2311yescharacteristic
446#459C2311yescharacteristic
447#459C2311yescharacteristic
448#459C2311yescharacteristic
449#459C2311yescharacteristic, complemented
450#452—21no—
451#452—41no—
452#450—21no—
453#450—21no—
454#450—21no—
455#450—21no—
456#450—21no—
457#450—21no—
458#450—21no—
459#450—21no—
460#450—21no—
461#450—41no—
462#450D411yescharacteristic
463#449—21no—
464#449—21no—
465#449—21no—
466#449—21no—
467#448—21no—
468#448—21no—
469#447—21no—
470#447—21no—
471#447—21no—
472#447—21no—
473#447—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#447D411yescharacteristic
487#446C2311yescharacteristic, complemented
488#446C2311yescharacteristic, complemented
489#446C2311yescharacteristic, complemented
490C8×Q8C2311yescharacteristic, complemented
491#442—21no—
492#442—21no—
493#442—21no—
494#442D411yescharacteristic
495#442D411yescharacteristic
496#441—21no—
497#440—21no—
498#440—21no—
499#440—21no—
500#440—21no—
501#440—21no—
502#440—21no—
503#440D411yescharacteristic
504#440D411yescharacteristic
505C4×SD16—21no—
506C4×SD16—21no—
507C4×SD16—21no—
508C4×SD16—21no—
509C4×SD16—21no—
510C4×SD16C2311yescharacteristic
511C4×SD16C2311yescharacteristic
512C4×SD16C2311yescharacteristic
513C4×SD16C2311yescharacteristic
514C4×D8—21no—
515C4×D8C2311yescharacteristic
516C4×D8C2311yescharacteristic
517C4×D8C2311yescharacteristic
518C4×D8C2311yescharacteristic
519#436—21no—
520#436C2311yescharacteristic
521#436C2311yescharacteristic
522#436C2311yescharacteristic
523#436C2311yescharacteristic
524#436C2311yescharacteristic, complemented
525#435—21no—
526#435—21no—
527#435—21no—
528#435—21no—
529#435—21no—
530#435—21no—
531#435—21no—
532C8×D4C2311yescharacteristic
533C8×D4C2311yescharacteristic
534C8×D4C2311yescharacteristic
535C8×D4C2311yescharacteristic
536C8×D4C2311yescharacteristic, complemented
537C8×D4C2311yescharacteristic, complemented
538C8×D4C2311yescharacteristic, complemented
539#433—21no—
540#432—21no—
541#432C2311yescharacteristic
542#431C2311yescharacteristic
543#431C2311yescharacteristic
544#431C2311yescharacteristic
545#428—21no—
546#428—21no—
547#428D411yescharacteristic
548#427—21no—
549#427—21no—
550#427—21no—
551#423C2311yescharacteristic
552#423C2311yescharacteristic
553C2×C4⋊C8—21no—
554#419—21no—
555#418—21no—
556#418—21no—
557#418—21no—
558#418—21no—
559#418—21no—
560#418—21no—
561#418—21no—
562#418—21no—
563#418—21no—
564#418—21no—
565#418—21no—
566#418—21no—
567#418D411yescharacteristic
568#417D411yescharacteristic
569#416—21no—
570#416—21no—
571C2×#102—21no—
572C2×#102—21no—
573C2×#102—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577#407—21no—
578#407—21no—
579C2×C22⋊C8—21no—
580#405—21no—
581C4×M16C2311yescharacteristic
582#335C2311yescharacteristic, complemented
583#335C2311yescharacteristic, complemented
584#335C2311yescharacteristic, complemented
585#335C2311yescharacteristic, complemented
586#334C2311yescharacteristic, complemented
587#334C2311yescharacteristic, complemented
588#334C2311yescharacteristic, complemented
589#334C2311yescharacteristic, complemented
590#333C2311yescharacteristic, complemented
591#333C2311yescharacteristic, complemented
592#333C2311yescharacteristic, complemented
593#333C2311yescharacteristic, complemented
594#333C2311yescharacteristic, complemented
595#333C2311yescharacteristic, complemented
596#332C2311yescharacteristic, complemented
597#332C2311yescharacteristic, complemented
598#332C2311yescharacteristic, complemented
599#332C2311yescharacteristic, complemented
600#331C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic, complemented
605#331C2311yescharacteristic, complemented
606Q8⋊C8C2311yescharacteristic, complemented
607Q8⋊C8C2311yescharacteristic, complemented
608Q8⋊C8C2311yescharacteristic, complemented
609Q8⋊C8C2311yescharacteristic, complemented
610D4⋊C8C2311yescharacteristic
611D4⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic, complemented
619D4⋊C8C2311yescharacteristic, complemented
620D4⋊C8C2311yescharacteristic, complemented
621D4⋊C8C2311yescharacteristic, complemented
622#322C2311yescharacteristic, complemented
623#322C2311yescharacteristic, complemented
624#322C2311yescharacteristic, complemented
625C82C2311yescharacteristic, complemented
626C25—41no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41C2×D411yescharacteristic
631C22×Q8—21no—
632C22×D4—21no—
633C22×D4—21no—
634C22×D4—21no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—41no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4—41no—
649C22×D4—41no—
650C22×D4—41no—
651C22×D4—44no—
652C22×D4—41no—
653C22×D4—82no—
654C22×D4—82no—
655C22×D4—82no—
656C22×D4C2×D411yescharacteristic
657C22×D4C2×D411yescharacteristic
658C23×C4—21no—
659C23×C4—21no—
660AGL(1,ℤ/8)—42no—
661AGL(1,ℤ/8)—82no—
662AGL(1,ℤ/8)—82no—
663AGL(1,ℤ/8)—82no—
664C2×Q16—21no—
665C2×Q16—41no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—41no—
677C2×SD16—41no—
678C2×SD16—41no—
679C2×SD16—44no—
680C2×SD16C2×D411yescharacteristic
681C2×SD16C2×D411yescharacteristic
682C2×SD16C2×D411yescharacteristic
683C2×SD16C2×D411yescharacteristic
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—21no—
694C2×D8—21no—
695C2×D8—82no—
696C2×D8—82no—
697C2×D8C2×D411yescharacteristic
698C2×D8C2×D411yescharacteristic
699C2×D8C2×D411yescharacteristic
700C2×D8C2×D411yescharacteristic
701C2×M16—21no—
702C2×M16—21no—
703C2×M16—21no—
704C2×M16—21no—
705C2×M16—21no—
706C2×M16—21no—
707C2×M16—21no—
708C2×M16—82no—
709C2×M16C2×D411yescharacteristic
710C2×M16C2×D411yescharacteristic
711C22×C8—21no—
712C22×C8—21no—
713C22×C8—21no—
714C22×C8—21no—
715C22×C8—21no—
716C22×C8—21no—
717C22×C8—21no—
718C4⋊Q8—21no—
719C4⋊Q8—21no—
720C4⋊Q8—21no—
721C4⋊Q8—41no—
722C4⋊Q8C2411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725C4⋊Q8C2411yescharacteristic
726C4⋊Q8C2411yescharacteristic
727#127—21no—
728#127—21no—
729#127—21no—
730#127—21no—
731#127C2411yescharacteristic
732#127C2411yescharacteristic
733#127C2411yescharacteristic
734#126—21no—
735#126—41no—
736#126—41no—
737#126—41no—
738#126—41no—
739#126—41no—
740#126—41no—
741#126—41no—
742#126—41no—
743#125—21no—
744#125—21no—
745#125—21no—
746#125—21no—
747#125—41no—
748#125C2×D411yescharacteristic
749#124—21no—
750#124—21no—
751#124—21no—
752#124—41no—
753#124—41no—
754#124—41no—
755#124—41no—
756#124—41no—
757#124—41no—
758#124C2×D411yescharacteristic
759#123—21no—
760#123—41no—
761#123—41no—
762#123—41no—
763#123—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768C22⋊Q8—21no—
769C22⋊Q8—21no—
770C22⋊Q8—21no—
771C22⋊Q8—21no—
772C22⋊Q8—21no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—21no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8C2×D411yescharacteristic
784#121—21no—
785#121—21no—
786#121—21no—
787#121—21no—
788#121—21no—
789#121—21no—
790#121—21no—
791#121—21no—
792#121—21no—
793#121—21no—
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—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#121—41no—
809#121—41no—
810#121—41no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121—41no—
815#121C2×D411yescharacteristic
816#120—41no—
817#120—41no—
818#120—41no—
819#120—41no—
820#120—41no—
821#120—41no—
822#120—41no—
823#120—41no—
824#120—41no—
825#120—41no—
826#120—41no—
827#120—41no—
828C4×Q8—21no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8—21no—
834C4×Q8—21no—
835C4×Q8—21no—
836C4×Q8—41no—
837C4×Q8—41no—
838C4×Q8—41no—
839C4×Q8C2×D411yescharacteristic
840C4×Q8C2411yescharacteristic
841C4×Q8C2411yescharacteristic
842C4×D4—21no—
843C4×D4—21no—
844C4×D4—21no—
845C4×D4—21no—
846C4×D4—21no—
847C4×D4—21no—
848C4×D4—21no—
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4—41no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4C2×D411yescharacteristic
863C4×D4C2×D411yescharacteristic
864C4×D4C2×D411yescharacteristic
865C4×D4C2×D411yescharacteristic
866C4×D4C2×D411yescharacteristic
867C4×D4C2411yescharacteristic
868C4×D4C2411yescharacteristic
869C4×D4C2411yescharacteristic
870C4×D4C2411yescharacteristic
871C4×D4C2411yescharacteristic
872C4×D4C2411yescharacteristic
873#117—21no—
874#117—21no—
875#117—21no—
876#117—21no—
877#117—21no—
878#117—21no—
879#117—21no—
880#117—21no—
881#117—21no—
882#117—21no—
883#117—21no—
884#117—21no—
885#117—41no—
886#117—41no—
887#117—41no—
888#117—41no—
889#117—41no—
890#117C2×D411yescharacteristic
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4C2×D411yescharacteristic
895C2×C4⋊C4C2×D411yescharacteristic
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C42—21no—
903C2×C42—41no—
904C2×C42C2411yescharacteristic
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107—21no—
913#107—21no—
914#107—21no—
915#107C2×D411yescharacteristic
916#107C2×D411yescharacteristic
917#107C2×D411yescharacteristic
918#107C2×D411yescharacteristic
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#106C2×D411yescharacteristic
932#106C2×D411yescharacteristic
933#106C2×D411yescharacteristic
934#106C2×D411yescharacteristic
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8C2×D411yescharacteristic
943C4⋊C8C2×D411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
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—41no—
965#103C2×D411yescharacteristic
966#103C2×D411yescharacteristic
967#103C2×D411yescharacteristic
968#103C2×D411yescharacteristic
969#102—21no—
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—41no—
1010#102—41no—
1011#102—41no—
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023#102C2×D411yescharacteristic
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8C2×D411yescharacteristic
1040C22⋊C8C2×D411yescharacteristic
1041#97—21no—
1042#97—21no—
1043#97—21no—
1044#97—21no—
1045#97C2×D411yescharacteristic
1046#97C2×D411yescharacteristic
1047C4×C8—21no—
1048C4×C8—21no—
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C24—21no—
1056C24—21no—
1057C24—41no—
1058C24—41no—
1059C24—41no—
1060C24—41no—
1061C24—41no—
1062C24—41no—
1063C24—84no—
1064C24—84no—
1065C24—162no—
1066#41—41no—
1067#41—41no—
1068#41—42no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—161no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—41no—
1079C2×Q8—41no—
1080C2×Q8—42no—
1081C2×Q8—81no—
1082C2×Q8C22×D411yescharacteristic
1083C2×Q8C22×D411yescharacteristic
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
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—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
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—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—84no—
1146C2×D4—84no—
1147C2×D4—84no—
1148C2×D4—84no—
1149C2×D4—84no—
1150C2×D4—84no—
1151C2×D4—161no—
1152C2×D4—162no—
1153C2×D4C22×D411yescharacteristic
1154C2×D4C22×D411yescharacteristic
1155C2×D4C22×D411yescharacteristic
1156C2×D4C22×D411yescharacteristic
1157C2×D4C22×D411yescharacteristic
1158C2×D4C22×D411yescharacteristic
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—41no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—81no—
1182C22×C4—81no—
1183C22×C4C22×D411yescharacteristic
1184C22×C4C22×D411yescharacteristic
1185C22×C4H(5,𝔽2)11yescharacteristic
1186Q16—81no—
1187Q16—161no—
1188SD16—22no—
1189SD16—22no—
1190SD16—41no—
1191SD16—41no—
1192SD16—42no—
1193SD16—42no—
1194SD16—42no—
1195SD16—81no—
1196SD16—81no—
1197SD16—81no—
1198SD16—81no—
1199SD16—81no—
1200SD16—81no—
1201SD16—81no—
1202SD16—161no—
1203SD16—161no—
1204SD16—161no—
1205D8—22no—
1206D8—22no—
1207D8—41no—
1208D8—41no—
1209D8—42no—
1210D8—42no—
1211D8—81no—
1212D8—81no—
1213D8—81no—
1214D8—81no—
1215D8—81no—
1216D8—81no—
1217D8—81no—
1218D8—81no—
1219D8—81no—
1220M16—41no—
1221M16—41no—
1222M16—42no—
1223M16—81no—
1224M16—81no—
1225M16—81no—
1226M16—81no—
1227M16—81no—
1228M16—81no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—42no—
1240C2×C8—81no—
1241C2×C8—81no—
1242C2×C8—81no—
1243C2×C8—81no—
1244C2×C8—81no—
1245C2×C8—81no—
1246C2×C8C22×D411yescharacteristic
1247C2×C8C22×D411yescharacteristic
1248C2×C8C22×D411yescharacteristic
1249C2×C8C22×D411yescharacteristic
1250C2×C8C22×D411yescharacteristic
1251C2×C8C22×D411yescharacteristic
1252C2×C8C22×D411yescharacteristic
1253C2×C8C22×D411yescharacteristic
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4C22×D411yescharacteristic
1287C4⋊C4C22×D411yescharacteristic
1288C4⋊C4C22×D411yescharacteristic
1289C4⋊C4C22×D411yescharacteristic
1290C4⋊C4C22×D411yescharacteristic
1291C4⋊C4C22×D411yescharacteristic
1292C4⋊C4C22×D411yescharacteristic
1293C4⋊C4C22×D411yescharacteristic
1294C22⋊C4—21no—
1295C22⋊C4—21no—
1296C22⋊C4—21no—
1297C22⋊C4—21no—
1298C22⋊C4—21no—
1299C22⋊C4—21no—
1300C22⋊C4—21no—
1301C22⋊C4—21no—
1302C22⋊C4—21no—
1303C22⋊C4—21no—
1304C22⋊C4—21no—
1305C22⋊C4—21no—
1306C22⋊C4—21no—
1307C22⋊C4—21no—
1308C22⋊C4—21no—
1309C22⋊C4—21no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C42—21no—
1335C42—21no—
1336C42—21no—
1337C42—21no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42C22×D411yescharacteristic
1347C42C22×D411yescharacteristic
1348C42H(5,𝔽2)11yescharacteristic
1349C42C2511yescharacteristic
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—42no—
1357C23—42no—
1358C23—42no—
1359C23—42no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—81no—
1364C23—81no—
1365C23—82no—
1366C23—82no—
1367C23—82no—
1368C23—82no—
1369C23—82no—
1370C23—82no—
1371C23—82no—
1372C23—82no—
1373C23—82no—
1374C23—82no—
1375C23—82no—
1376C23—82no—
1377C23—161no—
1378C23—161no—
1379C23—161no—
1380C23—161no—
1381C23—161no—
1382C23—161no—
1383C23—1616no—
1384C23D4211yescharacteristic
1385Q8—21no—
1386Q8—21no—
1387Q8—21no—
1388Q8—21no—
1389Q8—41no—
1390Q8—41no—
1391Q8—41no—
1392Q8—41no—
1393Q8—81no—
1394Q8—81no—
1395Q8—81no—
1396Q8—82no—
1397Q8—161no—
1398D4—21no—
1399D4—21no—
1400D4—21no—
1401D4—21no—
1402D4—21no—
1403D4—21no—
1404D4—21no—
1405D4—21no—
1406D4—21no—
1407D4—21no—
1408D4—42no—
1409D4—42no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—41no—
1418D4—41no—
1419D4—41no—
1420D4—41no—
1421D4—41no—
1422D4—81no—
1423D4—81no—
1424D4—81no—
1425D4—82no—
1426D4—82no—
1427D4—81no—
1428D4—81no—
1429D4—82no—
1430D4—82no—
1431D4—82no—
1432D4—82no—
1433D4—82no—
1434D4—82no—
1435D4—82no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—161no—
1441D4—161no—
1442D4—161no—
1443D4—161no—
1444D4—161no—
1445D4—161no—
1446D4—161no—
1447D4#57512yes—
1448D4#57712yes—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—41no—
1464C2×C4—42no—
1465C2×C4—42no—
1466C2×C4—42no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—81no—
1485C2×C4—81no—
1486C2×C4—81no—
1487C2×C4—81no—
1488C2×C4—81no—
1489C2×C4—82no—
1490C2×C4—82no—
1491C2×C4—161no—
1492C2×C4—161no—
1493C2×C4—161no—
1494C2×C4—161no—
1495C2×C4D4211yescharacteristic
1496C2×C4D4211yescharacteristic
1497C2×C4D4211yescharacteristic
1498C2×C4C23×D411yescharacteristic
1499C2×C4C23×D411yescharacteristic
1500C2×C4C2×H(5,𝔽2)11yescharacteristic
1501C8—21no—
1502C8—21no—
1503C8—21no—
1504C8—21no—
1505C8—21no—
1506C8—21no—
1507C8—21no—
1508C8—21no—
1509C8—41no—
1510C8—41no—
1511C8—41no—
1512C8—41no—
1513C8—41no—
1514C8—41no—
1515C8—41no—
1516C8—41no—
1517C8—41no—
1518C8—41no—
1519C22—21no—
1520C22—22no—
1521C22—21no—
1522C22—22no—
1523C22—21no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—84no—
1541C22—84no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—164no—
1552C22—164no—
1553C22—164no—
1554C22—164no—
1555C22—164no—
1556C22—322no—
1557C22C2×D4211yescharacteristic
1558C4—21no—
1559C4—21no—
1560C4—21no—
1561C4—21no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—81no—
1573C4—81no—
1574C4—81no—
1575C4—81no—
1576C4—81no—
1577C4C2×#57511yescharacteristic
1578C4C2×#57711yescharacteristic
1579C4#358511yescharacteristic
1580C4#358511yescharacteristic
1581C2—41no—
1582C2—42no—
1583C2—42no—
1584C2—81no—
1585C2—81no—
1586C2—81no—
1587C2—81no—
1588C2—161no—
1589C2—161no—
1590C2—161no—
1591C2#6106611yescharacteristic
1592C2#6107111yescharacteristic
1593C2#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. #62141C2semidirect
2. #61591C2semidirect
3. #61543C2semidirect
4. #61155C2semidirect
5. #20287C2semidirect
6. #20259C2semidirect
7. #20203C2semidirect
8. #20177C2semidirect
9. #20175C2semidirect
10. #20131C2semidirect
11. #20054C2semidirect
12. #20040C2semidirect
13. #20028C2semidirect
14. #19988C2semidirect
15. #19898C2semidirect
16. #19893C2semidirect
17. #19823C2semidirect
18. #19775C2semidirect
19. #19771C2semidirect
20. #19763C2semidirect
21. #19715C2semidirect
22. #19484C2semidirect
23. #19466C2semidirect
24. #19380C2semidirect
25. #19305C2semidirect
26. #18852C2semidirect
27. #18811C2semidirect
28. #18795C2semidirect
29. #18747C2semidirect
30. #18050C2semidirect
31. #18008C2semidirect
33. #3518C22semidirect
34. #3475C22semidirect
36. #3397C22semidirect
37. #3385C22semidirect
38. #3385C22semidirect
39. #3384C22semidirect
40. #3369C22semidirect
41. #3367C22semidirect
42. #3362C22semidirect
43. #3360C22semidirect
47. #3341C22semidirect
48. #3341C22semidirect
49. #3340C22semidirect
50. #3329C22semidirect
55. #3325C22semidirect
56. #3325C22semidirect
59. #3324C22semidirect
68. #3303C22semidirect
69. #3302C22semidirect
73. #3295C22semidirect
75. #3294C22semidirect
76. D4×SD16C22semidirect
84. #3252C22semidirect
87. #3231C22semidirect
89. #3210C22semidirect
90. #3208C22semidirect
94. #3182C22semidirect
96. #3138C22semidirect
101. #3106C22semidirect
106. #3077C22semidirect
109. #3038C22semidirect
113. #2990C22semidirect
115. #2969C22semidirect
118. D4×M16C22semidirect
120. #1722C22semidirect
121. #1720C22semidirect
122. #1719C22semidirect
123. #1717C22semidirect
124. #1717C22semidirect
125. #1715C22semidirect
126. #1711C22semidirect
127. #1706C22semidirect
128. #1703C22semidirect
129. #1703C22semidirect
130. #1702C22semidirect
131. #1701C22semidirect
132. #1699C22semidirect
133. #1698C22semidirect
134. #1698C22semidirect
135. #1698C22semidirect
136. #1697C22semidirect
137. #1697C22semidirect
138. #1695C22semidirect
139. #1695C22semidirect
140. #1691C22semidirect
141. #1688C22semidirect
142. #1688C22semidirect
143. #1685C22semidirect
144. #1683C22semidirect
145. #1683C22semidirect
146. #1682C22semidirect
147. #1681C22semidirect
148. #1679C22semidirect
149. #1678C22semidirect
150. #1677C22semidirect
151. #1677C22semidirect
152. #1677C22semidirect
153. #1677C22semidirect
154. #1675C22semidirect
155. #1675C22semidirect
156. #1671C22semidirect
157. #1667C22semidirect
158. #1667C22semidirect
159. #1665C22semidirect
160. #1646C22semidirect
161. #1644C22semidirect
162. #1641C22semidirect
165. #1639C22semidirect
166. #1639C22semidirect
167. #1639C22semidirect
168. #1638C22semidirect
169. #1635C22semidirect
170. #1634C22semidirect
171. #1634C22semidirect
172. #1632C22semidirect
173. #1632C22semidirect
174. #1631C22semidirect
177. #1629C22semidirect
178. #1629C22semidirect
179. #1629C22semidirect
180. #1628C22semidirect
181. #1628C22semidirect
182. #1628C22semidirect
183. #1627C22semidirect
184. #1627C22semidirect
185. #1625C22semidirect
186. #1624C22semidirect
187. #1624C22semidirect
188. #1624C22semidirect
189. #1623C22semidirect
190. #1623C22semidirect
191. #1622C22semidirect
192. #1592C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1589C22semidirect
196. #1586C22semidirect
197. #1586C22semidirect
198. #1585C22semidirect
199. #1585C22semidirect
200. #1583C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. #1580C22semidirect
206. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1574C22semidirect
209. #1569C22semidirect
210. #1560C22semidirect
211. #1559C22semidirect
212. #1554C22semidirect
213. #1545C22semidirect
214. #1495C22semidirect
215. #1488C22semidirect
217. #1478C22semidirect
218. #1453C22semidirect
229. Q82C23semidirect
234. #556C23semidirect
238. #555C23semidirect
248. D4×Q8C23semidirect
294. #500C23semidirect
295. #500C23semidirect
296. #498C23semidirect
299. #494C23semidirect
304. #492C23semidirect
305. #492C23semidirect
312. #487C23semidirect
313. #487C23semidirect
314. #487C23semidirect
315. #487C23semidirect
325. #486C23semidirect
326. #486C23semidirect
370. #477C23semidirect
371. #477C23semidirect
382. #476C23semidirect
383. #476C23semidirect
427. #462C23semidirect
430. #461C23semidirect
439. #460C23semidirect
449. #459C23semidirect
487. #446C23semidirect
488. #446C23semidirect
489. #446C23semidirect
490. C8×Q8C23semidirect
524. #436C23semidirect
536. C8×D4C23semidirect
537. C8×D4C23semidirect
538. C8×D4C23semidirect
582. #335C23semidirect
583. #335C23semidirect
584. #335C23semidirect
585. #335C23semidirect
586. #334C23semidirect
587. #334C23semidirect
588. #334C23semidirect
589. #334C23semidirect
590. #333C23semidirect
591. #333C23semidirect
592. #333C23semidirect
593. #333C23semidirect
594. #333C23semidirect
595. #333C23semidirect
596. #332C23semidirect
597. #332C23semidirect
598. #332C23semidirect
599. #332C23semidirect
604. #331C23semidirect
605. #331C23semidirect
606. Q8⋊C8C23semidirect
607. Q8⋊C8C23semidirect
608. Q8⋊C8C23semidirect
609. Q8⋊C8C23semidirect
618. D4⋊C8C23semidirect
619. D4⋊C8C23semidirect
620. D4⋊C8C23semidirect
621. D4⋊C8C23semidirect
622. #322C23semidirect
623. #322C23semidirect
624. #322C23semidirect
625. C82C23semidirect

Maximal subgroups

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

subgroupindex
#621412
#615912
#615432
#611552
#202872
#202592
#202032
#201772
#201752
#201312
#200542
#200402
#200282
#199882
#198982
#198932
#198232
#197752
#197712
#197632
#197152
#194842
#194662
#193802
#193052
#188522
#188112
#187952
#187472
#180502
#180082