Finite Group Databasebeta

← #6369283

Subgroups — #6369283

Order 512.

1726 conjugacy classes of subgroups.

The subgroup lattice has 1579 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62152C211yesmaximal, characteristic, complemented
2#61600C211yesmaximal, characteristic, complemented
3#61541C211yesmaximal, characteristic, complemented
4#61155C211yesmaximal, characteristic, complemented
5#20301C211yesmaximal, characteristic, complemented
6#20267C211yesmaximal, characteristic, complemented
7#20246C211yesmaximal, characteristic, complemented
8#20174C211yesmaximal, characteristic, complemented
9#20162C211yesmaximal, characteristic, complemented
10#20105C211yesmaximal, characteristic, complemented
11#20081C211yesmaximal, characteristic, complemented
12#20055C211yesmaximal, characteristic, complemented
13#20038C211yesmaximal, characteristic, complemented
14#19978C211yesmaximal, characteristic, complemented
15#19901C211yesmaximal, characteristic, complemented
16#19901C211yesmaximal, characteristic, complemented
17#19821C211yesmaximal, characteristic, complemented
18#19806C211yesmaximal, characteristic, complemented
19#19774C211yesmaximal, characteristic, complemented
20#19772C211yesmaximal, characteristic, complemented
21#19717C211yesmaximal, characteristic, complemented
22#19495C211yesmaximal, characteristic, complemented
23#19466C211yesmaximal, characteristic, complemented
24#19380C211yesmaximal, characteristic, complemented
25#19307C211yesmaximal, characteristic, complemented
26#18836C211yesmaximal, characteristic, complemented
27#18823C211yesmaximal, characteristic, complemented
28#18807C211yesmaximal, characteristic, complemented
29#18747C211yesmaximal, characteristic, complemented
30#18052C211yesmaximal, characteristic, complemented
31#18008C211yesmaximal, characteristic, complemented
32#3520C2211yescharacteristic
33#3515C2211yescharacteristic, complemented
34#3475C2211yescharacteristic
35C2×D42C2211yescharacteristic
36#3398C2211yescharacteristic, complemented
37#3384C2211yescharacteristic, complemented
38#3381C2211yescharacteristic, complemented
39#3380C2211yescharacteristic, complemented
40#3364C2211yescharacteristic, complemented
41#3360C2211yescharacteristic, complemented
42#3360C2211yescharacteristic, complemented
43#3359C2211yescharacteristic, complemented
44#3357C2211yescharacteristic, complemented
45#3354C2211yescharacteristic, complemented
46#3352—21no—
47#3351—21no—
48#3344—21no—
49#3335C2211yescharacteristic, complemented
50#3331—21no—
51#3331C2211yescharacteristic, complemented
52#3331C2211yescharacteristic, complemented
53#3330C2211yescharacteristic, complemented
54#3330C2211yescharacteristic, complemented
55#3325C2211yescharacteristic
56#3325C2211yescharacteristic
57#3324C2211yescharacteristic
58#3324C2211yescharacteristic
59#3324C2211yescharacteristic
60#3324C2211yescharacteristic
61#3323—21no—
62#3323—21no—
63#3322—21no—
64#3318—21no—
65#3318—21no—
66#3310—21no—
67#3310—21no—
68#3310—21no—
69#3310—21no—
70#3295C2211yescharacteristic
71#3295C2211yescharacteristic
72#3294C2211yescharacteristic
73#3294C2211yescharacteristic
74#3294C2211yescharacteristic
75#3294C2211yescharacteristic
76#3283C2211yescharacteristic, complemented
77D4×SD16C2211yescharacteristic
78D4×SD16C2211yescharacteristic
79#3272C2211yescharacteristic
80#3272C2211yescharacteristic
81#3267—21no—
82#3265—21no—
83#3265—21no—
84#3256—21no—
85#3252C2211yescharacteristic, complemented
86#3232—21no—
87#3231C2211yescharacteristic, complemented
88#3231C2211yescharacteristic, complemented
89#3217C2211yescharacteristic
90#3208C2211yescharacteristic
91#3208C2211yescharacteristic
92#3193—21no—
93#3188—21no—
94#3185C2211yescharacteristic, complemented
95#3178—21no—
96#3138C2211yescharacteristic
97#3125—21no—
98#3120—21no—
99#3110C2211yescharacteristic
100#3107C2211yescharacteristic, complemented
101#3105C2211yescharacteristic
102#3102—21no—
103#3101C2211yescharacteristic
104#3094—21no—
105#3080—21no—
106#3077C2211yescharacteristic
107#3077C2211yescharacteristic
108#3055—21no—
109#3038C2211yescharacteristic
110#3003—21no—
111#3003—21no—
112C2×#450—21no—
113#2991C2211yescharacteristic, complemented
114#2974C2211yescharacteristic
115#2969C2211yescharacteristic, complemented
116#2952—21no—
117C4×AGL(1,ℤ/8)C2211yescharacteristic
118D4×M16C2211yescharacteristic
119C2×#418—21no—
120#1720C2211yescharacteristic, complemented
121#1720C2211yescharacteristic, complemented
122#1719C2211yescharacteristic, complemented
123#1719C2211yescharacteristic, complemented
124#1714C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1708C2211yescharacteristic, complemented
127#1708C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1699C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1698C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1695C2211yescharacteristic, complemented
139#1691C2211yescharacteristic, complemented
140#1691C2211yescharacteristic, complemented
141#1689C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1682C2211yescharacteristic, complemented
147#1682C2211yescharacteristic, complemented
148#1682C2211yescharacteristic, complemented
149#1681C2211yescharacteristic, complemented
150#1679C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1678C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1675C2211yescharacteristic, complemented
155#1671C2211yescharacteristic, complemented
156#1671C2211yescharacteristic, complemented
157#1669C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1666C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1654C2211yescharacteristic, complemented
162#1652C2211yescharacteristic, complemented
163#1652C2211yescharacteristic, complemented
164#1650C2211yescharacteristic, complemented
165#1649C2211yescharacteristic, complemented
166#1647C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1646C2211yescharacteristic, complemented
169#1646C2211yescharacteristic, complemented
170#1644C2211yescharacteristic, complemented
171#1643C2211yescharacteristic, complemented
172#1639C2211yescharacteristic
173#1639C2211yescharacteristic
174#1639C2211yescharacteristic
175#1639C2211yescharacteristic
176#1638C2211yescharacteristic, complemented
177#1637C2211yescharacteristic, complemented
178#1635C2211yescharacteristic, complemented
179#1635C2211yescharacteristic, complemented
180#1629C2211yescharacteristic
181#1629C2211yescharacteristic
182#1629C2211yescharacteristic
183#1629C2211yescharacteristic
184#1626C2211yescharacteristic, complemented
185#1626C2211yescharacteristic, complemented
186#1625C2211yescharacteristic, complemented
187#1625C2211yescharacteristic, complemented
188#1622C2211yescharacteristic, complemented
189#1622C2211yescharacteristic, complemented
190#1622C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1589C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1586C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×SD16C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1561C2211yescharacteristic, complemented
211#1559C2211yescharacteristic, complemented
212#1554C2211yescharacteristic, complemented
213#1545C2211yescharacteristic
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic
217#1478C2211yescharacteristic
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
225C2×#135—21no—
226C22×SD16—21no—
227C22×SD16—21no—
228C22×M16—21no—
229#557C2311yescharacteristic, complemented
230#556C2311yescharacteristic
231#556C2311yescharacteristic
232#555C2311yescharacteristic
233#554—21no—
234#554C2311yescharacteristic
235#554C2311yescharacteristic, complemented
236#554C2311yescharacteristic, complemented
237#553—21no—
238#553—21no—
239#552—21no—
240#552—21no—
241#552—21no—
242#552—21no—
243#552—21no—
244#552—41no—
245#551—41no—
246#551—41no—
247D4×Q8C2311yescharacteristic
248#548—21no—
249#547—21no—
250#547C2311yescharacteristic
251#547C2311yescharacteristic
252#547C2311yescharacteristic
253#547C2311yescharacteristic, complemented
254#546—21no—
255#546—21no—
256D42—21no—
257D42—21no—
258D42—21no—
259D42—21no—
260D42—41no—
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263D42C2311yescharacteristic
264D42C2311yescharacteristic
265#542—21no—
266#541—21no—
267#539—41no—
268#539—41no—
269#533C2311yescharacteristic
270#533C2311yescharacteristic
271#533C2311yescharacteristic
272C2×#127C2311yescharacteristic
273#529—21no—
274#529—21no—
275#529—41no—
276#529C2311yescharacteristic
277C2×#125—21no—
278#525—21no—
279#525—21no—
280C2×C22⋊Q8—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#120—41no—
284#520—21no—
285#520—21no—
286C4×#41—21no—
287C4×#41C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×#117—21no—
291#501—21no—
292#500C2311yescharacteristic, complemented
293#500C2311yescharacteristic, complemented
294#499—21no—
295#499—21no—
296#498C2311yescharacteristic, complemented
297#498C2311yescharacteristic, complemented
298#498C2311yescharacteristic, complemented
299#497—21no—
300#496—21no—
301#494C2311yescharacteristic, complemented
302#492C2311yescharacteristic
303#492C2311yescharacteristic
304#492C2311yescharacteristic
305#492C2311yescharacteristic
306#490—21no—
307#490—21no—
308#490—21no—
309#488—21no—
310#488—21no—
311#488—21no—
312#487—21no—
313#487C2311yescharacteristic, complemented
314#487C2311yescharacteristic, complemented
315#487C2311yescharacteristic, complemented
316#487C2311yescharacteristic, complemented
317#487C2311yescharacteristic, complemented
318#487C2311yescharacteristic, complemented
319#486C2311yescharacteristic
320#486C2311yescharacteristic
321#486C2311yescharacteristic
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic
327#485—21no—
328#485—21no—
329#485—21no—
330#485—21no—
331#485—41no—
332#484—21no—
333#484—21no—
334#484—21no—
335#484D411yescharacteristic
336#483—21no—
337#483—21no—
338#483—21no—
339#483—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#481—21no—
348#481—21no—
349#481—21no—
350#481—21no—
351#481D411yescharacteristic
352#480—21no—
353#480—21no—
354#480—21no—
355#480—21no—
356#480—21no—
357#479—21no—
358#479—21no—
359#479—21no—
360#479—21no—
361#479—21no—
362#479—21no—
363#479—21no—
364#479—41no—
365#478—21no—
366#478—21no—
367#478—21no—
368#478—21no—
369#478—21no—
370#478—21no—
371#478—21no—
372#478—21no—
373#478D411yescharacteristic
374#478D411yescharacteristic
375#477C2311yescharacteristic, complemented
376#476—21no—
377#476C2311yescharacteristic
378#476C2311yescharacteristic
379#476C2311yescharacteristic
380#476C2311yescharacteristic
381#476C2311yescharacteristic
382#476C2311yescharacteristic
383#476C2311yescharacteristic, complemented
384#475—21no—
385#475C2311yescharacteristic, complemented
386#474C2311yescharacteristic
387#474C2311yescharacteristic
388#474C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#474C2311yescharacteristic, complemented
393#470—21no—
394#470—21no—
395#470—21no—
396#470—21no—
397#470—21no—
398#469—21no—
399#469—21no—
400#469—21no—
401#468—21no—
402#468—21no—
403#468—21no—
404#468—21no—
405#468—21no—
406#468—21no—
407#468—21no—
408#468—21no—
409#468—21no—
410#468—21no—
411#467—21no—
412#466—21no—
413#466—21no—
414#466—21no—
415#466—21no—
416#465—21no—
417#465—21no—
418#465—21no—
419#465—21no—
420#465—21no—
421#464—21no—
422#464—21no—
423#464—21no—
424#463—21no—
425#463—21no—
426#463D411yescharacteristic
427#463D411yescharacteristic
428#462—21no—
429#462C2311yescharacteristic, complemented
430#462C2311yescharacteristic, complemented
431#461—21no—
432#461C2311yescharacteristic
433#461C2311yescharacteristic
434#461C2311yescharacteristic
435#461C2311yescharacteristic
436#461C2311yescharacteristic, complemented
437#461C2311yescharacteristic, complemented
438#460—21no—
439#460—21no—
440#460—21no—
441#460—41no—
442#460C2311yescharacteristic
443#460C2311yescharacteristic
444#460C2311yescharacteristic
445#460C2311yescharacteristic
446#459—21no—
447#459C2311yescharacteristic
448#459C2311yescharacteristic
449#459C2311yescharacteristic
450#459C2311yescharacteristic
451#452—21no—
452#452—21no—
453#452—21no—
454#452—21no—
455#452—21no—
456#450—21no—
457#450—21no—
458#450—21no—
459#450—21no—
460#450—21no—
461#450—21no—
462#450—21no—
463#450—21no—
464#450—21no—
465#450—21no—
466#450—21no—
467#450—21no—
468#450—21no—
469#450—21no—
470#450—21no—
471#450—41no—
472#450D411yescharacteristic
473#449—21no—
474#449—21no—
475#449—21no—
476#449—21no—
477#448—21no—
478#448—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
488C8×Q8C2311yescharacteristic, complemented
489C8×Q8C2311yescharacteristic, complemented
490C8×Q8C2311yescharacteristic, complemented
491#442—21no—
492#442D411yescharacteristic
493#442D411yescharacteristic
494#441—21no—
495#441—21no—
496#441—21no—
497#440—21no—
498#440—21no—
499#440D411yescharacteristic
500#440D411yescharacteristic
501C4×Q16—21no—
502C4×Q16—21no—
503C4×SD16—21no—
504C4×SD16—21no—
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#436—21no—
521#436—21no—
522#436C2311yescharacteristic
523#436C2311yescharacteristic
524#436C2311yescharacteristic
525#436C2311yescharacteristic
526#436C2311yescharacteristic, complemented
527#436C2311yescharacteristic, complemented
528#436C2311yescharacteristic, complemented
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, complemented
539#433—21no—
540#432C2311yescharacteristic
541#431—21no—
542#431C2311yescharacteristic
543#431C2311yescharacteristic
544#431C2311yescharacteristic
545#428—21no—
546#428—21no—
547#428—21no—
548#428—21no—
549#428D411yescharacteristic
550C2×#106—21no—
551#423—21no—
552#423C2311yescharacteristic
553#423C2311yescharacteristic
554#418—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#418D411yescharacteristic
566#417—21no—
567#417—21no—
568#417—21no—
569#417—21no—
570#417D411yescharacteristic
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#332C2311yescharacteristic, complemented
595#332C2311yescharacteristic, complemented
596#332C2311yescharacteristic, complemented
597#332C2311yescharacteristic, complemented
598#332C2311yescharacteristic, complemented
599#332C2311yescharacteristic, complemented
600#332C2311yescharacteristic, complemented
601#332C2311yescharacteristic, complemented
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
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×#41—21no—
631C2×#41C2×D411yescharacteristic
632C22×Q8—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—41no—
645C22×D4—41no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4—41no—
649C22×D4—41no—
650C22×D4—44no—
651C22×D4—82no—
652C22×D4—82no—
653C22×D4—82no—
654C22×D4C2×D411yescharacteristic
655C22×D4C2×D411yescharacteristic
656C23×C4—21no—
657C23×C4—21no—
658AGL(1,ℤ/8)—42no—
659AGL(1,ℤ/8)—82no—
660AGL(1,ℤ/8)—82no—
661AGL(1,ℤ/8)—82no—
662#135—44no—
663C2×Q16—21no—
664C2×Q16—21no—
665C2×Q16—21no—
666C2×Q16—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—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—41no—
682C2×SD16—41no—
683C2×SD16—82no—
684C2×SD16—82no—
685C2×SD16C2×D411yescharacteristic
686C2×SD16C2×D411yescharacteristic
687C2×SD16C2×D411yescharacteristic
688C2×SD16C2×D411yescharacteristic
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8C2×D411yescharacteristic
694C2×D8C2×D411yescharacteristic
695C2×D8C2×D411yescharacteristic
696C2×D8C2×D411yescharacteristic
697C2×M16—21no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—21no—
703C2×M16—21no—
704C2×M16—21no—
705C2×M16—21no—
706C2×M16—82no—
707C2×M16C2×D411yescharacteristic
708C2×M16C2×D411yescharacteristic
709C22×C8—21no—
710C22×C8—21no—
711C22×C8—21no—
712C22×C8—21no—
713C22×C8—21no—
714C4⋊Q8—21no—
715C4⋊Q8—21no—
716C4⋊Q8C2411yescharacteristic
717C4⋊Q8C2411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722#127—21no—
723#127—21no—
724#127—21no—
725#127C2411yescharacteristic
726#127C2411yescharacteristic
727#126—21no—
728#126—41no—
729#126—41no—
730#126—41no—
731#126—41no—
732#126—41no—
733#126—41no—
734#126—41no—
735#126—41no—
736#125—21no—
737#125—21no—
738#125—21no—
739#125—21no—
740#125—21no—
741#125—21no—
742#125—21no—
743#125—41no—
744#125—41no—
745#125—41no—
746#125—41no—
747#125—41no—
748#125—41no—
749#125C2×D411yescharacteristic
750#124—21no—
751#124—21no—
752#124—41no—
753#124—41no—
754#124C2×D411yescharacteristic
755#123—21no—
756#123—41no—
757#123—41no—
758#123—41no—
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—
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—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8C2×D411yescharacteristic
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—21no—
805#121—21no—
806#121—41no—
807#121—41no—
808#121—41no—
809#121—41no—
810#121—41no—
811#121—41no—
812#121—41no—
813#121C2×D411yescharacteristic
814#120—41no—
815#120—41no—
816#120—41no—
817#120—41no—
818#120—41no—
819#120—41no—
820#120—41no—
821#120—41no—
822#120—41no—
823#120—41no—
824C4×Q8—21no—
825C4×Q8—21no—
826C4×Q8—21no—
827C4×Q8—21no—
828C4×Q8—21no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8—21no—
834C4×Q8C2×D411yescharacteristic
835C4×Q8C2411yescharacteristic
836C4×Q8C2411yescharacteristic
837C4×D4—21no—
838C4×D4—21no—
839C4×D4—21no—
840C4×D4—21no—
841C4×D4—21no—
842C4×D4—21no—
843C4×D4—21no—
844C4×D4—21no—
845C4×D4—21no—
846C4×D4—21no—
847C4×D4—21no—
848C4×D4—41no—
849C4×D4—41no—
850C4×D4—41no—
851C4×D4—41no—
852C4×D4—41no—
853C4×D4—41no—
854C4×D4—41no—
855C4×D4—41no—
856C4×D4C2×D411yescharacteristic
857C4×D4C2×D411yescharacteristic
858C4×D4C2×D411yescharacteristic
859C4×D4C2×D411yescharacteristic
860C4×D4C2×D411yescharacteristic
861C4×D4C2411yescharacteristic
862C4×D4C2411yescharacteristic
863C4×D4C2411yescharacteristic
864C4×D4C2411yescharacteristic
865C4×D4C2411yescharacteristic
866C4×D4C2411yescharacteristic
867#117—21no—
868#117—21no—
869#117—21no—
870#117—21no—
871#117—21no—
872#117—21no—
873#117—21no—
874#117—21no—
875#117—21no—
876#117—41no—
877#117—41no—
878#117—41no—
879#117—41no—
880#117—41no—
881#117—41no—
882#117C2×D411yescharacteristic
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—41no—
891C2×C4⋊C4—41no—
892C2×C4⋊C4—41no—
893C2×C4⋊C4C2×D411yescharacteristic
894C2×C4⋊C4C2×D411yescharacteristic
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C42—21no—
901C2×C42—41no—
902C2×C42C2411yescharacteristic
903#107—21no—
904#107—21no—
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107—21no—
913#107—41no—
914#107C2×D411yescharacteristic
915#107C2×D411yescharacteristic
916#107C2×D411yescharacteristic
917#107C2×D411yescharacteristic
918#106—21no—
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—21no—
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—41no—
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—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—41no—
971#103—41no—
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—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
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#97C2×D411yescharacteristic
1044#97C2×D411yescharacteristic
1045C4×C8—21no—
1046C4×C8—21no—
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—84no—
1063C24—84no—
1064C24—162no—
1065#41—41no—
1066#41—41no—
1067#41—42no—
1068#41—42no—
1069#41—42no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—41no—
1082C2×Q8—81no—
1083C2×Q8—81no—
1084C2×Q8C22×D411yescharacteristic
1085C2×Q8C22×D411yescharacteristic
1086C2×D4—22no—
1087C2×D4—22no—
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—41no—
1099C2×D4—41no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—84no—
1137C2×D4—84no—
1138C2×D4—84no—
1139C2×D4—84no—
1140C2×D4—84no—
1141C2×D4—84no—
1142C2×D4—161no—
1143C2×D4C22×D411yescharacteristic
1144C2×D4C22×D411yescharacteristic
1145C2×D4C22×D411yescharacteristic
1146C2×D4C22×D411yescharacteristic
1147C2×D4C22×D411yescharacteristic
1148C2×D4C22×D411yescharacteristic
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—81no—
1174C22×C4—81no—
1175C22×C4C22×D411yescharacteristic
1176C22×C4C22×D411yescharacteristic
1177C22×C4H(5,𝔽2)11yescharacteristic
1178Q16—42no—
1179Q16—81no—
1180Q16—81no—
1181Q16—81no—
1182SD16—22no—
1183SD16—22no—
1184SD16—41no—
1185SD16—41no—
1186SD16—42no—
1187SD16—42no—
1188SD16—42no—
1189SD16—42no—
1190SD16—81no—
1191SD16—81no—
1192SD16—81no—
1193SD16—81no—
1194SD16—81no—
1195SD16—81no—
1196SD16—81no—
1197SD16—81no—
1198SD16—81no—
1199SD16—81no—
1200SD16—161no—
1201SD16—161no—
1202D8—22no—
1203D8—22no—
1204D8—41no—
1205D8—41no—
1206D8—81no—
1207D8—81no—
1208D8—81no—
1209D8—81no—
1210M16—41no—
1211M16—41no—
1212M16—42no—
1213M16—81no—
1214M16—81no—
1215M16—81no—
1216M16—81no—
1217M16—81no—
1218M16—81no—
1219M16—81no—
1220M16—81no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—42no—
1232C2×C8—81no—
1233C2×C8—81no—
1234C2×C8—81no—
1235C2×C8—81no—
1236C2×C8C22×D411yescharacteristic
1237C2×C8C22×D411yescharacteristic
1238C2×C8C22×D411yescharacteristic
1239C2×C8C22×D411yescharacteristic
1240C2×C8C22×D411yescharacteristic
1241C2×C8C22×D411yescharacteristic
1242C2×C8C22×D411yescharacteristic
1243C2×C8C22×D411yescharacteristic
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—21no—
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⋊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—
1331C42—21no—
1332C42—21no—
1333C42—21no—
1334C42—21no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42C22×D411yescharacteristic
1343C42C22×D411yescharacteristic
1344C42H(5,𝔽2)11yescharacteristic
1345C42C2511yescharacteristic
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—42no—
1353C23—42no—
1354C23—42no—
1355C23—42no—
1356C23—41no—
1357C23—41no—
1358C23—81no—
1359C23—81no—
1360C23—82no—
1361C23—82no—
1362C23—82no—
1363C23—82no—
1364C23—82no—
1365C23—82no—
1366C23—82no—
1367C23—82no—
1368C23—82no—
1369C23—82no—
1370C23—82no—
1371C23—161no—
1372C23—161no—
1373C23—161no—
1374C23—161no—
1375C23—1616no—
1376C23D4211yescharacteristic
1377Q8—21no—
1378Q8—21no—
1379Q8—21no—
1380Q8—21no—
1381Q8—41no—
1382Q8—41no—
1383Q8—41no—
1384Q8—41no—
1385Q8—41no—
1386Q8—41no—
1387Q8—41no—
1388Q8—41no—
1389Q8—81no—
1390Q8—81no—
1391Q8—161no—
1392D4—21no—
1393D4—21no—
1394D4—21no—
1395D4—21no—
1396D4—21no—
1397D4—21no—
1398D4—21no—
1399D4—21no—
1400D4—21no—
1401D4—21no—
1402D4—42no—
1403D4—42no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—81no—
1413D4—81no—
1414D4—82no—
1415D4—82no—
1416D4—81no—
1417D4—81no—
1418D4—82no—
1419D4—82no—
1420D4—82no—
1421D4—82no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
1425D4—82no—
1426D4—82no—
1427D4—82no—
1428D4—82no—
1429D4—161no—
1430D4—161no—
1431D4—161no—
1432D4#57512yes—
1433D4#57712yes—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—41no—
1449C2×C4—42no—
1450C2×C4—42no—
1451C2×C4—42no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—81no—
1471C2×C4—81no—
1472C2×C4—81no—
1473C2×C4—81no—
1474C2×C4—81no—
1475C2×C4—82no—
1476C2×C4—82no—
1477C2×C4—82no—
1478C2×C4—161no—
1479C2×C4—161no—
1480C2×C4—161no—
1481C2×C4—161no—
1482C2×C4—161no—
1483C2×C4D4211yescharacteristic
1484C2×C4D4211yescharacteristic
1485C2×C4D4211yescharacteristic
1486C2×C4C23×D411yescharacteristic
1487C2×C4C23×D411yescharacteristic
1488C2×C4C2×H(5,𝔽2)11yescharacteristic
1489C8—21no—
1490C8—21no—
1491C8—21no—
1492C8—21no—
1493C8—21no—
1494C8—21no—
1495C8—21no—
1496C8—21no—
1497C8—41no—
1498C8—41no—
1499C8—41no—
1500C8—41no—
1501C8—41no—
1502C8—41no—
1503C8—41no—
1504C8—41no—
1505C8—41no—
1506C8—41no—
1507C22—21no—
1508C22—22no—
1509C22—21no—
1510C22—22no—
1511C22—21no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—84no—
1529C22—84no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—164no—
1537C22—164no—
1538C22—164no—
1539C22—164no—
1540C22—164no—
1541C22C2×D4211yescharacteristic
1542C4—21no—
1543C4—21no—
1544C4—21no—
1545C4—21no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—81no—
1557C4—81no—
1558C4—81no—
1559C4—81no—
1560C4—81no—
1561C4—81no—
1562C4C2×#57511yescharacteristic
1563C4C2×#57711yescharacteristic
1564C4#358511yescharacteristic
1565C4#358511yescharacteristic
1566C2—41no—
1567C2—42no—
1568C2—42no—
1569C2—81no—
1570C2—81no—
1571C2—81no—
1572C2—81no—
1573C2—161no—
1574C2—161no—
1575C2#6106611yescharacteristic
1576C2#6107111yescharacteristic
1577C2#6110711yescharacteristic
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. #62152C2semidirect
2. #61600C2semidirect
3. #61541C2semidirect
4. #61155C2semidirect
5. #20301C2semidirect
6. #20267C2semidirect
7. #20246C2semidirect
8. #20174C2semidirect
9. #20162C2semidirect
10. #20105C2semidirect
11. #20081C2semidirect
12. #20055C2semidirect
13. #20038C2semidirect
14. #19978C2semidirect
15. #19901C2semidirect
16. #19901C2semidirect
17. #19821C2semidirect
18. #19806C2semidirect
19. #19774C2semidirect
20. #19772C2semidirect
21. #19717C2semidirect
22. #19495C2semidirect
23. #19466C2semidirect
24. #19380C2semidirect
25. #19307C2semidirect
26. #18836C2semidirect
27. #18823C2semidirect
28. #18807C2semidirect
29. #18747C2semidirect
30. #18052C2semidirect
31. #18008C2semidirect
33. #3515C22semidirect
36. #3398C22semidirect
37. #3384C22semidirect
38. #3381C22semidirect
39. #3380C22semidirect
40. #3364C22semidirect
41. #3360C22semidirect
42. #3360C22semidirect
43. #3359C22semidirect
44. #3357C22semidirect
45. #3354C22semidirect
49. #3335C22semidirect
51. #3331C22semidirect
52. #3331C22semidirect
53. #3330C22semidirect
54. #3330C22semidirect
76. #3283C22semidirect
85. #3252C22semidirect
87. #3231C22semidirect
88. #3231C22semidirect
94. #3185C22semidirect
100. #3107C22semidirect
113. #2991C22semidirect
115. #2969C22semidirect
120. #1720C22semidirect
121. #1720C22semidirect
122. #1719C22semidirect
123. #1719C22semidirect
124. #1714C22semidirect
125. #1714C22semidirect
126. #1708C22semidirect
127. #1708C22semidirect
128. #1703C22semidirect
129. #1703C22semidirect
130. #1702C22semidirect
131. #1701C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1699C22semidirect
135. #1699C22semidirect
136. #1698C22semidirect
137. #1697C22semidirect
138. #1695C22semidirect
139. #1691C22semidirect
140. #1691C22semidirect
141. #1689C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1683C22semidirect
145. #1683C22semidirect
146. #1682C22semidirect
147. #1682C22semidirect
148. #1682C22semidirect
149. #1681C22semidirect
150. #1679C22semidirect
151. #1679C22semidirect
152. #1678C22semidirect
153. #1677C22semidirect
154. #1675C22semidirect
155. #1671C22semidirect
156. #1671C22semidirect
157. #1669C22semidirect
158. #1666C22semidirect
159. #1666C22semidirect
160. #1654C22semidirect
161. #1654C22semidirect
162. #1652C22semidirect
163. #1652C22semidirect
164. #1650C22semidirect
165. #1649C22semidirect
166. #1647C22semidirect
167. #1647C22semidirect
168. #1646C22semidirect
169. #1646C22semidirect
170. #1644C22semidirect
171. #1643C22semidirect
176. #1638C22semidirect
177. #1637C22semidirect
178. #1635C22semidirect
179. #1635C22semidirect
184. #1626C22semidirect
185. #1626C22semidirect
186. #1625C22semidirect
187. #1625C22semidirect
188. #1622C22semidirect
189. #1622C22semidirect
190. #1622C22semidirect
191. #1622C22semidirect
192. #1594C22semidirect
193. #1592C22semidirect
194. #1589C22semidirect
195. #1589C22semidirect
196. #1588C22semidirect
197. #1586C22semidirect
198. #1586C22semidirect
199. #1585C22semidirect
200. #1583C22semidirect
201. #1583C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×SD16C22semidirect
208. #1574C22semidirect
209. #1569C22semidirect
210. #1561C22semidirect
211. #1559C22semidirect
212. #1554C22semidirect
214. #1495C22semidirect
215. #1488C22semidirect
218. #1453C22semidirect
229. #557C23semidirect
235. #554C23semidirect
236. #554C23semidirect
253. #547C23semidirect
292. #500C23semidirect
293. #500C23semidirect
296. #498C23semidirect
297. #498C23semidirect
298. #498C23semidirect
301. #494C23semidirect
313. #487C23semidirect
314. #487C23semidirect
315. #487C23semidirect
316. #487C23semidirect
317. #487C23semidirect
318. #487C23semidirect
375. #477C23semidirect
383. #476C23semidirect
385. #475C23semidirect
392. #474C23semidirect
429. #462C23semidirect
430. #462C23semidirect
436. #461C23semidirect
437. #461C23semidirect
487. #446C23semidirect
488. C8×Q8C23semidirect
489. C8×Q8C23semidirect
490. C8×Q8C23semidirect
526. #436C23semidirect
527. #436C23semidirect
528. #436C23semidirect
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. #332C23semidirect
595. #332C23semidirect
596. #332C23semidirect
597. #332C23semidirect
598. #332C23semidirect
599. #332C23semidirect
600. #332C23semidirect
601. #332C23semidirect
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
#621522
#616002
#615412
#611552
#203012
#202672
#202462
#201742
#201622
#201052
#200812
#200552
#200382
#199782
#199012
#198212
#198062
#197742
#197722
#197172
#194952
#194662
#193802
#193072
#188362
#188232
#188072
#187472
#180522
#180082