Finite Group Databasebeta

← #6364046

Subgroups — #6364046

Order 512.

1557 conjugacy classes of subgroups.

The subgroup lattice has 1523 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62188C211yesmaximal, characteristic, complemented
2#61949C211yesmaximal, characteristic, complemented
3#61921C211yesmaximal, characteristic, complemented
4#61725C211yesmaximal, characteristic, complemented
5#20264C211yesmaximal, characteristic, complemented
6#20258C211yesmaximal, characteristic, complemented
7#20236C211yesmaximal, characteristic, complemented
8#20222C211yesmaximal, characteristic, complemented
9#20157C211yesmaximal, characteristic, complemented
10#20152C211yesmaximal, characteristic, complemented
11#20076C211yesmaximal, characteristic, complemented
12#20050C211yesmaximal, characteristic, complemented
13#19952C211yesmaximal, characteristic, complemented
14#19945C211yesmaximal, characteristic, complemented
15#19925C211yesmaximal, characteristic, complemented
16#19911C211yesmaximal, characteristic, complemented
17#19880C211yesmaximal, characteristic, complemented
18#19877C211yesmaximal, characteristic, complemented
19#19827C211yesmaximal, characteristic, complemented
20#19825C211yesmaximal, characteristic, complemented
21#19713C211yesmaximal, characteristic, complemented
22#19537C211yesmaximal, characteristic, complemented
23#19535C211yesmaximal, characteristic, complemented
24#19420C211yesmaximal, characteristic, complemented
25#19419C211yesmaximal, characteristic, complemented
26#18745C211yesmaximal, characteristic, complemented
27#18568C211yesmaximal, characteristic, complemented
28#18562C211yesmaximal, characteristic, complemented
29#18561C211yesmaximal, characteristic, complemented
30#17952C211yesmaximal, characteristic, complemented
31#17926C211yesmaximal, characteristic, complemented
32#3555C2211yescharacteristic
33#3519C2211yescharacteristic
34#3508C2211yescharacteristic, complemented
35#3475C2211yescharacteristic
36#3401—21no—
37#3400C2211yescharacteristic, complemented
38#3397—21no—
39#3397C2211yescharacteristic, complemented
40#3394C2211yescharacteristic
41#3394C2211yescharacteristic
42#3394C2211yescharacteristic, complemented
43#3392C2211yescharacteristic, complemented
44#3385C2211yescharacteristic, complemented
45#3381C2211yescharacteristic, complemented
46#3375C2211yescharacteristic, complemented
47#3371—21no—
48#3368—21no—
49#3368C2211yescharacteristic, complemented
50#3366C2211yescharacteristic, complemented
51#3362C2211yescharacteristic, complemented
52#3362C2211yescharacteristic, complemented
53#3361C2211yescharacteristic, complemented
54#3361C2211yescharacteristic, complemented
55#3361C2211yescharacteristic, complemented
56#3357C2211yescharacteristic, complemented
57#3357C2211yescharacteristic, complemented
58#3357C2211yescharacteristic, complemented
59#3356C2211yescharacteristic, complemented
60#3355—21no—
61#3354C2211yescharacteristic, complemented
62#3351—21no—
63#3351—21no—
64#3350—21no—
65#3340C2211yescharacteristic, complemented
66#3333C2211yescharacteristic, complemented
67#3332C2211yescharacteristic, complemented
68#3325C2211yescharacteristic, complemented
69#3324—21no—
70#3324C2211yescharacteristic, complemented
71#3324C2211yescharacteristic, complemented
72#3323—21no—
73#3322—21no—
74#3310—21no—
75#3305C2211yescharacteristic
76#3305C2211yescharacteristic
77#3296—21no—
78#3296—21no—
79#3295C2211yescharacteristic, complemented
80#3284C2211yescharacteristic, complemented
81#3284C2211yescharacteristic, complemented
82#3280—21no—
83#3280—21no—
84#3260—21no—
85#3254C2211yescharacteristic
86#3249C2211yescharacteristic, complemented
87#3247—21no—
88#3241—21no—
89#3233C2211yescharacteristic
90#3228C2211yescharacteristic
91#3228C2211yescharacteristic
92#3224—21no—
93#3222—21no—
94#3217C2211yescharacteristic
95#3212—21no—
96#3208C2211yescharacteristic, complemented
97#3208C2211yescharacteristic, complemented
98#3197—21no—
99#3194—21no—
100#3185C2211yescharacteristic, complemented
101#3151C2211yescharacteristic
102#3123—21no—
103#3123—21no—
104#3118—21no—
105#3116C2211yescharacteristic, complemented
106#3106—21no—
107#3106C2211yescharacteristic
108#3102C2211yescharacteristic
109#3101C2211yescharacteristic
110#3094—21no—
111#3093—21no—
112#3081—21no—
113#3077C2211yescharacteristic
114#3035—21no—
115C2×#459C2211yescharacteristic
116#2993C2211yescharacteristic
117#2988C2211yescharacteristic, complemented
118#2985C2211yescharacteristic, complemented
119#2975C2211yescharacteristic
120#1722C2211yescharacteristic, complemented
121#1717C2211yescharacteristic, complemented
122#1717C2211yescharacteristic, complemented
123#1715C2211yescharacteristic, complemented
124#1714C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1709C2211yescharacteristic, complemented
127#1705C2211yescharacteristic, complemented
128#1698C2211yescharacteristic, complemented
129#1698C2211yescharacteristic, complemented
130#1698C2211yescharacteristic, complemented
131#1697C2211yescharacteristic
132#1697C2211yescharacteristic
133#1697C2211yescharacteristic, complemented
134#1697C2211yescharacteristic, complemented
135#1697C2211yescharacteristic, complemented
136#1692C2211yescharacteristic, complemented
137#1692C2211yescharacteristic, complemented
138#1686C2211yescharacteristic, complemented
139#1685C2211yescharacteristic
140#1685C2211yescharacteristic
141#1685C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1682C2211yescharacteristic, complemented
145#1682C2211yescharacteristic, complemented
146#1682C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1678C2211yescharacteristic, complemented
149#1678C2211yescharacteristic, complemented
150#1677C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1676C2211yescharacteristic, complemented
153#1676C2211yescharacteristic, complemented
154#1676C2211yescharacteristic, complemented
155#1675C2211yescharacteristic, complemented
156#1672C2211yescharacteristic, complemented
157#1671C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1653C2211yescharacteristic, complemented
162#1652C2211yescharacteristic, complemented
163#1652C2211yescharacteristic, complemented
164#1646C2211yescharacteristic, complemented
165#1645C2211yescharacteristic, complemented
166#1644C2211yescharacteristic, complemented
167#1644C2211yescharacteristic, complemented
168#1638C2211yescharacteristic, complemented
169#1638C2211yescharacteristic, complemented
170#1636C2211yescharacteristic, complemented
171#1635C2211yescharacteristic, complemented
172#1634C2211yescharacteristic, complemented
173#1633C2211yescharacteristic, complemented
174#1632C2211yescharacteristic, complemented
175#1632C2211yescharacteristic, complemented
176#1631C2211yescharacteristic, complemented
177#1631C2211yescharacteristic, complemented
178#1630C2211yescharacteristic, complemented
179#1630C2211yescharacteristic, complemented
180#1624C2211yescharacteristic
181#1624C2211yescharacteristic
182#1622C2211yescharacteristic
183#1622C2211yescharacteristic
184#1621C2211yescharacteristic
185#1621C2211yescharacteristic
186#1621C2211yescharacteristic, complemented
187#1621C2211yescharacteristic, complemented
188#1620C2211yescharacteristic, complemented
189#1620C2211yescharacteristic, complemented
190#1619C2211yescharacteristic
191#1619C2211yescharacteristic
192#1592C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1588C2211yescharacteristic, complemented
198#1588C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1584C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1583C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204SD16⋊C8C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×Q16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1572C2211yescharacteristic, complemented
209#1571C2211yescharacteristic, complemented
210#1559C2211yescharacteristic, complemented
211#1551C2211yescharacteristic
212#1545C2211yescharacteristic, complemented
213#1542C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1489C2211yescharacteristic, complemented
216#1485C2211yescharacteristic, complemented
217#1483C2211yescharacteristic
218#1453C2211yescharacteristic, complemented
219C2×AGL(1,ℤ/8)—41no—
220C2×#135—21no—
221C2×#135—21no—
222C22×D8—21no—
223#563—41no—
224#559—21no—
225#559C2311yescharacteristic
226#559C2311yescharacteristic
227Q82C2311yescharacteristic
228#557—21no—
229#557C2311yescharacteristic
230#556—21no—
231#556—21no—
232#556C2311yescharacteristic
233#556C2311yescharacteristic
234#555C2311yescharacteristic
235#555C2311yescharacteristic
236#554C2311yescharacteristic
237#554C2311yescharacteristic
238#554C2311yescharacteristic
239#553—21no—
240#553—21no—
241#553—21no—
242#552—21no—
243#552—21no—
244#552—21no—
245#551—41no—
246#550—21no—
247#550C2311yescharacteristic
248#550C2311yescharacteristic
249#550C2311yescharacteristic
250#547C2311yescharacteristic
251#546—21no—
252#546—21no—
253#546—21no—
254#546—21no—
255#546—41no—
256#546—41no—
257D42—21no—
258D42C2311yescharacteristic
259#544—21no—
260#542—21no—
261#541—21no—
262#541—21no—
263#541—41no—
264#540—21no—
265#540—41no—
266#538—41no—
267#535—21no—
268#533C2311yescharacteristic
269#533C2311yescharacteristic
270#533C2311yescharacteristic
271#532—21no—
272#532—21no—
273#532C2311yescharacteristic
274C2×#127C2311yescharacteristic
275#529—21no—
276#529—41no—
277#529C2311yescharacteristic
278#525—21no—
279#525—21no—
280C2×#121—21no—
281#518—21no—
282#518—21no—
283C4×#41—21no—
284C4×#41C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×#117—21no—
287#501—21no—
288#500C2311yescharacteristic
289#500C2311yescharacteristic
290#499—21no—
291#499—21no—
292#498C2311yescharacteristic
293#498C2311yescharacteristic
294#498C2311yescharacteristic
295#497—21no—
296#496—21no—
297#496—21no—
298#496—41no—
299#495—21no—
300#495—21no—
301#495—21no—
302#494C2311yescharacteristic
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#492—21no—
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#492C2311yescharacteristic
310#492C2311yescharacteristic
311#492C2311yescharacteristic
312#490—21no—
313#490—21no—
314#490—21no—
315#489—21no—
316#488—21no—
317#488—21no—
318#488—21no—
319#488—21no—
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#486—21no—
323#486—21no—
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#485—21no—
333#485—21no—
334#485—21no—
335#485—21no—
336#485—21no—
337#485—21no—
338#485—21no—
339#485D411yescharacteristic
340#483—21no—
341#483D411yescharacteristic
342#483D411yescharacteristic
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#482—21no—
350#482—21no—
351#482—21no—
352#482—21no—
353#482—21no—
354#482—21no—
355#482—21no—
356#482D411yescharacteristic
357#481—21no—
358#481—21no—
359#481—21no—
360#480—21no—
361#480—21no—
362#480—21no—
363#480—21no—
364#479—21no—
365#479—21no—
366#479D411yescharacteristic
367#478—21no—
368#478—21no—
369#478—21no—
370#478—21no—
371#478—21no—
372#478—21no—
373#478—21no—
374#478—21no—
375#478—21no—
376#478—21no—
377#478—21no—
378#478—21no—
379#478D411yescharacteristic
380#477—21no—
381#477C2311yescharacteristic
382#477C2311yescharacteristic
383#477C2311yescharacteristic
384#477C2311yescharacteristic
385#477C2311yescharacteristic
386#477C2311yescharacteristic
387#477C2311yescharacteristic
388#476—21no—
389#476—21no—
390#476D411yescharacteristic
391#476D411yescharacteristic
392#476C2311yescharacteristic
393#476C2311yescharacteristic
394#476C2311yescharacteristic
395#476C2311yescharacteristic
396#476C2311yescharacteristic
397#475C2311yescharacteristic
398#474—21no—
399#474—21no—
400#474—21no—
401#474C2311yescharacteristic
402#474C2311yescharacteristic
403#474C2311yescharacteristic
404#470—21no—
405#470—41no—
406#469—21no—
407#469—21no—
408#469—21no—
409#468—21no—
410#468—21no—
411#468—21no—
412#468—21no—
413#468—21no—
414#468—21no—
415#468—21no—
416#468—21no—
417#467—21no—
418#467—21no—
419#466—21no—
420#466—21no—
421#465—21no—
422#465—21no—
423#465—21no—
424#465—21no—
425#464—21no—
426#464—21no—
427#464—21no—
428#464—21no—
429#464—21no—
430#464D411yescharacteristic
431#463—21no—
432#463—21no—
433#463—21no—
434#463—21no—
435#463—21no—
436#463—21no—
437#463—21no—
438#463D411yescharacteristic
439#462—21no—
440#462C2311yescharacteristic
441#462C2311yescharacteristic
442#462C2311yescharacteristic
443#461—21no—
444#461—21no—
445#461—21no—
446#461D411yescharacteristic
447#461D411yescharacteristic
448#461C2311yescharacteristic
449#460—21no—
450#460—21no—
451#460—21no—
452#460—21no—
453#460—21no—
454#460—21no—
455#460—21no—
456#460—21no—
457#460—21no—
458#460C2311yescharacteristic
459#460C2311yescharacteristic
460#460C2311yescharacteristic
461#460C2311yescharacteristic
462#460C2311yescharacteristic
463#459—21no—
464#459—21no—
465#459—21no—
466#459C2311yescharacteristic
467#459C2311yescharacteristic
468#459C2311yescharacteristic
469#459C2311yescharacteristic
470#459C2311yescharacteristic
471#459C2311yescharacteristic
472#459C2311yescharacteristic
473#452—21no—
474#452—21no—
475#452—21no—
476#452—21no—
477#452D411yescharacteristic
478#450—21no—
479#450—21no—
480#450—21no—
481#450—21no—
482#450—21no—
483#450—21no—
484#450—21no—
485#450—21no—
486#450D411yescharacteristic
487#450D411yescharacteristic
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#449—21no—
493#449—21no—
494#449D411yescharacteristic
495#447—21no—
496#447—21no—
497#446—21no—
498#446—21no—
499#446C2311yescharacteristic
500#446C2311yescharacteristic
501#446C2311yescharacteristic
502C8×Q8C2311yescharacteristic
503C8×Q8C2311yescharacteristic
504C8×Q8C2311yescharacteristic
505C8×Q8C2311yescharacteristic
506C8×Q8C2311yescharacteristic
507#442—21no—
508#441—21no—
509#441—41no—
510#440—21no—
511#440—21no—
512#440—21no—
513#440—21no—
514#440—21no—
515#440—21no—
516C4×Q16C2311yescharacteristic
517C4×SD16—21no—
518C4×SD16—21no—
519C4×SD16—21no—
520C4×SD16—21no—
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16C2311yescharacteristic
526C4×SD16C2311yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×SD16C2311yescharacteristic
529C4×SD16C2311yescharacteristic
530C4×SD16C2311yescharacteristic
531C4×D8—21no—
532C4×D8—21no—
533C4×D8—21no—
534C4×D8—21no—
535C4×D8C2311yescharacteristic
536#436—21no—
537#436—21no—
538#436—21no—
539#436C2311yescharacteristic
540#436C2311yescharacteristic
541#436C2311yescharacteristic
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#435—21no—
545C8×D4—21no—
546C8×D4—21no—
547C8×D4C2311yescharacteristic
548C8×D4C2311yescharacteristic
549C8×D4C2311yescharacteristic
550#433—21no—
551#433—21no—
552#433—21no—
553#432C2311yescharacteristic
554#431—21no—
555#431C2311yescharacteristic
556#431C2311yescharacteristic
557#431C2311yescharacteristic
558#428—21no—
559#428—21no—
560#428—21no—
561#428—21no—
562#428—21no—
563#428—21no—
564#427—21no—
565#424—21no—
566#423C2311yescharacteristic
567C2×C4⋊C8—21no—
568C2×C4⋊C8C2311yescharacteristic
569#418—21no—
570#418—21no—
571#418—21no—
572#418—21no—
573#417—21no—
574#417—21no—
575#416—21no—
576#416—21no—
577C2×#102—21no—
578C2×#102—21no—
579#407—21no—
580#407—21no—
581C4×M16C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#335C2311yescharacteristic
587#335C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
594#333C2311yescharacteristic
595#333C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612Q8⋊C8C2311yescharacteristic
613Q8⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625C82C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—41no—
632C2×#41C2×D411yescharacteristic
633C22×D4—21no—
634C22×D4—21no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—41no—
639C22×D4C2×D411yescharacteristic
640C23×C4—21no—
641AGL(1,ℤ/8)—84no—
642#135—82no—
643#135—82no—
644C2×Q16—21no—
645C2×Q16—21no—
646C2×Q16—21no—
647C2×Q16—41no—
648C2×Q16C2×D411yescharacteristic
649C2×SD16—21no—
650C2×SD16—21no—
651C2×SD16—21no—
652C2×SD16—21no—
653C2×SD16—21no—
654C2×SD16—21no—
655C2×SD16—21no—
656C2×SD16—21no—
657C2×SD16—21no—
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16C2×D411yescharacteristic
666C2×SD16C2×D411yescharacteristic
667C2×SD16C2×D411yescharacteristic
668C2×SD16C2×D411yescharacteristic
669C2×SD16C2×D411yescharacteristic
670C2×SD16C2×D411yescharacteristic
671C2×D8—21no—
672C2×D8—21no—
673C2×D8—21no—
674C2×D8—21no—
675C2×D8—21no—
676C2×D8—21no—
677C2×D8—21no—
678C2×D8—41no—
679C2×D8—41no—
680C2×D8—82no—
681C2×D8C2×D411yescharacteristic
682C2×M16—21no—
683C2×M16—21no—
684C2×M16—21no—
685C2×M16—21no—
686C2×M16—21no—
687C2×M16—21no—
688C2×M16—21no—
689C22×C8—21no—
690C22×C8—21no—
691C22×C8—21no—
692C22×C8—21no—
693C4⋊Q8—21no—
694C4⋊Q8—21no—
695C4⋊Q8—21no—
696C4⋊Q8—41no—
697C4⋊Q8—41no—
698C4⋊Q8C2×D411yescharacteristic
699C4⋊Q8C2×D411yescharacteristic
700C4⋊Q8C2411yescharacteristic
701C4⋊Q8C2411yescharacteristic
702C4⋊Q8C2411yescharacteristic
703C4⋊Q8C2411yescharacteristic
704C4⋊Q8C2411yescharacteristic
705#127—21no—
706#127—21no—
707#127—21no—
708#127—21no—
709#127—21no—
710#127—21no—
711#127C2411yescharacteristic
712#127C2411yescharacteristic
713#127C2411yescharacteristic
714#126—21no—
715#126—41no—
716#126—41no—
717#126—41no—
718#126—41no—
719#126—41no—
720#126—41no—
721#126—41no—
722#126—41no—
723#126—41no—
724#126—41no—
725#125—21no—
726#125—21no—
727#125—21no—
728#125—21no—
729#125—21no—
730#125—21no—
731#125—21no—
732#125—41no—
733#125—41no—
734#125—41no—
735#125—41no—
736#125—41no—
737#125—41no—
738#125C2×D411yescharacteristic
739#124—21no—
740#124—21no—
741#124—21no—
742#124—21no—
743#124—21no—
744#124—21no—
745#124—21no—
746#124—41no—
747#124—41no—
748#124—41no—
749#124—41no—
750#124C2×D411yescharacteristic
751#123—21no—
752#123—41no—
753#123—41no—
754#123—41no—
755#123—41no—
756#123—41no—
757#123—41no—
758#123—41no—
759#123—41no—
760#123—41no—
761#123—41no—
762#123—41no—
763#123—41no—
764C22⋊Q8—21no—
765C22⋊Q8—21no—
766C22⋊Q8—21no—
767C22⋊Q8—21no—
768C22⋊Q8—21no—
769C22⋊Q8—21no—
770C22⋊Q8—21no—
771C22⋊Q8—21no—
772C22⋊Q8—21no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—41no—
776C22⋊Q8—41no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8C2×D411yescharacteristic
781C22⋊Q8C2×D411yescharacteristic
782C22⋊Q8C2×D411yescharacteristic
783#121—21no—
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—41no—
796#121—41no—
797#121—41no—
798#121—41no—
799#121—41no—
800#121—41no—
801#121—41no—
802#121—41no—
803#121—41no—
804#121—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#121C2×D411yescharacteristic
809#120—41no—
810#120—41no—
811#120—41no—
812#120—41no—
813#120—41no—
814#120—41no—
815C4×Q8—21no—
816C4×Q8—21no—
817C4×Q8—21no—
818C4×Q8—21no—
819C4×Q8—21no—
820C4×Q8—21no—
821C4×Q8—21no—
822C4×Q8—21no—
823C4×Q8—21no—
824C4×Q8—21no—
825C4×Q8—21no—
826C4×Q8—41no—
827C4×Q8C2×D411yescharacteristic
828C4×Q8C2411yescharacteristic
829C4×Q8C2411yescharacteristic
830C4×Q8C2411yescharacteristic
831C4×Q8C2411yescharacteristic
832C4×D4—21no—
833C4×D4—21no—
834C4×D4—21no—
835C4×D4—21no—
836C4×D4—21no—
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—21no—
849C4×D4—41no—
850C4×D4—41no—
851C4×D4—41no—
852C4×D4—41no—
853C4×D4—41no—
854C4×D4—41no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4C2×D411yescharacteristic
859C4×D4C2×D411yescharacteristic
860C4×D4C2×D411yescharacteristic
861C4×D4C2411yescharacteristic
862C4×D4C2411yescharacteristic
863C4×D4C2411yescharacteristic
864C4×D4C2411yescharacteristic
865#117—21no—
866#117—21no—
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#117C2×D411yescharacteristic
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4C2×D411yescharacteristic
886C2×C22⋊C4—21no—
887C2×C22⋊C4—41no—
888C2×C22⋊C4—41no—
889C2×C22⋊C4—41no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C42—21no—
893C2×C42—41no—
894C2×C42C2411yescharacteristic
895#107—21no—
896#107—21no—
897#107—21no—
898#107—21no—
899#107—21no—
900#107—21no—
901#107—21no—
902#107—21no—
903#107—21no—
904#107—21no—
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107C2×D411yescharacteristic
910#107C2×D411yescharacteristic
911#106—21no—
912#106—21no—
913#106—21no—
914#106—21no—
915#106—21no—
916#106—21no—
917#106—21no—
918#106—21no—
919#106—21no—
920#106—21no—
921#106—41no—
922#106C2×D411yescharacteristic
923#106C2×D411yescharacteristic
924#106C2×D411yescharacteristic
925#106C2×D411yescharacteristic
926#106C2×D411yescharacteristic
927#106C2×D411yescharacteristic
928C4⋊C8—21no—
929C4⋊C8—21no—
930C4⋊C8—21no—
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8C2×D411yescharacteristic
939C4⋊C8C2×D411yescharacteristic
940C4⋊C8C2×D411yescharacteristic
941C4⋊C8C2×D411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950#103—21no—
951#103—21no—
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—41no—
963#103—41no—
964#103C2×D411yescharacteristic
965#103C2×D411yescharacteristic
966#103C2×D411yescharacteristic
967#103C2×D411yescharacteristic
968#103C2×D411yescharacteristic
969#103C2×D411yescharacteristic
970#103C2×D411yescharacteristic
971#103C2×D411yescharacteristic
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#102C2×D411yescharacteristic
1009#102C2×D411yescharacteristic
1010#102C2×D411yescharacteristic
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016C22⋊C8—21no—
1017C22⋊C8—21no—
1018C22⋊C8—21no—
1019C22⋊C8—21no—
1020C22⋊C8—21no—
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8C2×D411yescharacteristic
1027C22⋊C8C2×D411yescharacteristic
1028C22⋊C8C2×D411yescharacteristic
1029C22⋊C8C2×D411yescharacteristic
1030#97—21no—
1031#97—21no—
1032#97—21no—
1033#97—21no—
1034#97—21no—
1035C4×C8—21no—
1036C4×C8—21no—
1037C4×C8—21no—
1038C4×C8—21no—
1039C4×C8—21no—
1040C4×C8—21no—
1041C4×C8C2411yescharacteristic
1042C4×C8C2411yescharacteristic
1043C4×C8C2411yescharacteristic
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C24—21no—
1048C24—41no—
1049C24—41no—
1050#41—41no—
1051#41—41no—
1052#41—42no—
1053#41—81no—
1054#41—81no—
1055#41—81no—
1056#41—81no—
1057#41—81no—
1058#41—81no—
1059#41—81no—
1060#41—82no—
1061#41—162no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—41no—
1069C2×Q8C22×D411yescharacteristic
1070C2×Q8C22×D411yescharacteristic
1071C2×Q8C22×D411yescharacteristic
1072C2×Q8C22×D411yescharacteristic
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—42no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—82no—
1111C2×D4—162no—
1112C2×D4C22×D411yescharacteristic
1113C2×D4C22×D411yescharacteristic
1114C2×D4C22×D411yescharacteristic
1115C2×D4C22×D411yescharacteristic
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—81no—
1136C22×C4—81no—
1137C22×C4C22×D411yescharacteristic
1138C22×C4C22×D411yescharacteristic
1139C22×C4H(5,𝔽2)11yescharacteristic
1140Q16—41no—
1141Q16—82no—
1142Q16—81no—
1143Q16—81no—
1144Q16—81no—
1145SD16—41no—
1146SD16—41no—
1147SD16—41no—
1148SD16—41no—
1149SD16—41no—
1150SD16—41no—
1151SD16—81no—
1152SD16—81no—
1153SD16—81no—
1154SD16—81no—
1155SD16—81no—
1156SD16—81no—
1157SD16—81no—
1158SD16—81no—
1159SD16—82no—
1160SD16—81no—
1161SD16—81no—
1162SD16—81no—
1163SD16—81no—
1164SD16—81no—
1165SD16—81no—
1166SD16—82no—
1167D8—41no—
1168D8—42no—
1169D8—42no—
1170D8—82no—
1171D8—81no—
1172D8—81no—
1173D8—81no—
1174D8—81no—
1175D8—81no—
1176D8—82no—
1177M16—42no—
1178M16—81no—
1179M16—81no—
1180M16—81no—
1181M16—81no—
1182M16—81no—
1183M16—81no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—81no—
1195C2×C8—81no—
1196C2×C8—81no—
1197C2×C8—81no—
1198C2×C8C22×D411yescharacteristic
1199C2×C8C22×D411yescharacteristic
1200C2×C8C22×D411yescharacteristic
1201C2×C8C22×D411yescharacteristic
1202C2×C8C22×D411yescharacteristic
1203C2×C8C22×D411yescharacteristic
1204C2×C8C22×D411yescharacteristic
1205C2×C8C22×D411yescharacteristic
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4C22×D411yescharacteristic
1249C4⋊C4C22×D411yescharacteristic
1250C4⋊C4C22×D411yescharacteristic
1251C4⋊C4C22×D411yescharacteristic
1252C4⋊C4C22×D411yescharacteristic
1253C4⋊C4C22×D411yescharacteristic
1254C4⋊C4C22×D411yescharacteristic
1255C4⋊C4C22×D411yescharacteristic
1256C22⋊C4—21no—
1257C22⋊C4—21no—
1258C22⋊C4—21no—
1259C22⋊C4—21no—
1260C22⋊C4—21no—
1261C22⋊C4—21no—
1262C22⋊C4—21no—
1263C22⋊C4—21no—
1264C22⋊C4—21no—
1265C22⋊C4—21no—
1266C22⋊C4—21no—
1267C22⋊C4—21no—
1268C22⋊C4—21no—
1269C22⋊C4—21no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C42—21no—
1297C42—21no—
1298C42—21no—
1299C42—21no—
1300C42—21no—
1301C42—21no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42C22×D411yescharacteristic
1311C42C22×D411yescharacteristic
1312C42H(5,𝔽2)11yescharacteristic
1313C42C2511yescharacteristic
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—81no—
1322C23—81no—
1323C23—81no—
1324C23—82no—
1325C23—82no—
1326C23—161no—
1327C23—161no—
1328C23—161no—
1329C23—161no—
1330C23D4211yescharacteristic
1331Q8—21no—
1332Q8—21no—
1333Q8—21no—
1334Q8—21no—
1335Q8—21no—
1336Q8—21no—
1337Q8—21no—
1338Q8—21no—
1339Q8—41no—
1340Q8—41no—
1341Q8—41no—
1342Q8—41no—
1343Q8—81no—
1344Q8—81no—
1345Q8—81no—
1346Q8—81no—
1347Q8—161no—
1348D4—21no—
1349D4—21no—
1350D4—21no—
1351D4—21no—
1352D4—21no—
1353D4—21no—
1354D4—21no—
1355D4—21no—
1356D4—42no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—81no—
1370D4—81no—
1371D4—81no—
1372D4—81no—
1373D4—82no—
1374D4—82no—
1375D4—81no—
1376D4—82no—
1377D4—82no—
1378D4—82no—
1379D4—161no—
1380D4—161no—
1381D4—161no—
1382D4—161no—
1383D4—161no—
1384D4—161no—
1385D4—161no—
1386D4—161no—
1387D4—161no—
1388D4—161no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—41no—
1406C2×C4—42no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—81no—
1421C2×C4—81no—
1422C2×C4—81no—
1423C2×C4—81no—
1424C2×C4—82no—
1425C2×C4—161no—
1426C2×C4—161no—
1427C2×C4—161no—
1428C2×C4—161no—
1429C2×C4—161no—
1430C2×C4—161no—
1431C2×C4—161no—
1432C2×C4—161no—
1433C2×C4—161no—
1434C2×C4D4211yescharacteristic
1435C2×C4D4211yescharacteristic
1436C2×C4D4211yescharacteristic
1437C2×C4C23×D411yescharacteristic
1438C2×C4C23×D411yescharacteristic
1439C2×C4C2×H(5,𝔽2)11yescharacteristic
1440C8—22no—
1441C8—21no—
1442C8—21no—
1443C8—21no—
1444C8—21no—
1445C8—21no—
1446C8—21no—
1447C8—21no—
1448C8—21no—
1449C8—41no—
1450C8—41no—
1451C8—41no—
1452C8—41no—
1453C8—41no—
1454C8—41no—
1455C8—41no—
1456C8—41no—
1457C8—41no—
1458C22—21no—
1459C22—21no—
1460C22—21no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—162no—
1483C22—322no—
1484C22—322no—
1485C22C2×D4211yescharacteristic
1486C4—21no—
1487C4—21no—
1488C4—21no—
1489C4—21no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—81no—
1503C4—81no—
1504C4—81no—
1505C4—81no—
1506C4—81no—
1507C4#358411yescharacteristic
1508C4#358411yescharacteristic
1509C4#358511yescharacteristic
1510C4#358611yescharacteristic
1511C2—41no—
1512C2—81no—
1513C2—81no—
1514C2—81no—
1515C2—81no—
1516C2—161no—
1517C2—161no—
1518C2—161no—
1519C2#6105211yescharacteristic
1520C2#6106211yescharacteristic
1521C2#6111011yescharacteristic
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. #62188C2semidirect
2. #61949C2semidirect
3. #61921C2semidirect
4. #61725C2semidirect
5. #20264C2semidirect
6. #20258C2semidirect
7. #20236C2semidirect
8. #20222C2semidirect
9. #20157C2semidirect
10. #20152C2semidirect
11. #20076C2semidirect
12. #20050C2semidirect
13. #19952C2semidirect
14. #19945C2semidirect
15. #19925C2semidirect
16. #19911C2semidirect
17. #19880C2semidirect
18. #19877C2semidirect
19. #19827C2semidirect
20. #19825C2semidirect
21. #19713C2semidirect
22. #19537C2semidirect
23. #19535C2semidirect
24. #19420C2semidirect
25. #19419C2semidirect
26. #18745C2semidirect
27. #18568C2semidirect
28. #18562C2semidirect
29. #18561C2semidirect
30. #17952C2semidirect
31. #17926C2semidirect
34. #3508C22semidirect
37. #3400C22semidirect
39. #3397C22semidirect
42. #3394C22semidirect
43. #3392C22semidirect
44. #3385C22semidirect
45. #3381C22semidirect
46. #3375C22semidirect
49. #3368C22semidirect
50. #3366C22semidirect
51. #3362C22semidirect
52. #3362C22semidirect
53. #3361C22semidirect
54. #3361C22semidirect
55. #3361C22semidirect
56. #3357C22semidirect
57. #3357C22semidirect
58. #3357C22semidirect
59. #3356C22semidirect
61. #3354C22semidirect
65. #3340C22semidirect
66. #3333C22semidirect
67. #3332C22semidirect
68. #3325C22semidirect
70. #3324C22semidirect
71. #3324C22semidirect
79. #3295C22semidirect
80. #3284C22semidirect
81. #3284C22semidirect
86. #3249C22semidirect
96. #3208C22semidirect
97. #3208C22semidirect
100. #3185C22semidirect
105. #3116C22semidirect
117. #2988C22semidirect
118. #2985C22semidirect
120. #1722C22semidirect
121. #1717C22semidirect
122. #1717C22semidirect
123. #1715C22semidirect
124. #1714C22semidirect
125. #1714C22semidirect
126. #1709C22semidirect
127. #1705C22semidirect
128. #1698C22semidirect
129. #1698C22semidirect
130. #1698C22semidirect
133. #1697C22semidirect
134. #1697C22semidirect
135. #1697C22semidirect
136. #1692C22semidirect
137. #1692C22semidirect
138. #1686C22semidirect
141. #1685C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1682C22semidirect
145. #1682C22semidirect
146. #1682C22semidirect
147. #1681C22semidirect
148. #1678C22semidirect
149. #1678C22semidirect
150. #1677C22semidirect
151. #1677C22semidirect
152. #1676C22semidirect
153. #1676C22semidirect
154. #1676C22semidirect
155. #1675C22semidirect
156. #1672C22semidirect
157. #1671C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1653C22semidirect
162. #1652C22semidirect
163. #1652C22semidirect
164. #1646C22semidirect
165. #1645C22semidirect
166. #1644C22semidirect
167. #1644C22semidirect
168. #1638C22semidirect
169. #1638C22semidirect
170. #1636C22semidirect
171. #1635C22semidirect
172. #1634C22semidirect
173. #1633C22semidirect
174. #1632C22semidirect
175. #1632C22semidirect
176. #1631C22semidirect
177. #1631C22semidirect
178. #1630C22semidirect
179. #1630C22semidirect
186. #1621C22semidirect
187. #1621C22semidirect
188. #1620C22semidirect
189. #1620C22semidirect
192. #1592C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1590C22semidirect
196. #1588C22semidirect
197. #1588C22semidirect
198. #1588C22semidirect
199. #1585C22semidirect
200. #1584C22semidirect
201. #1583C22semidirect
202. #1583C22semidirect
203. #1581C22semidirect
204. SD16⋊C8C22semidirect
205. SD16⋊C8C22semidirect
206. C8×Q16C22semidirect
207. C8×D8C22semidirect
208. #1572C22semidirect
209. #1571C22semidirect
210. #1559C22semidirect
212. #1545C22semidirect
213. #1542C22semidirect
215. #1489C22semidirect
216. #1485C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621882
#619492
#619212
#617252
#202642
#202582
#202362
#202222
#201572
#201522
#200762
#200502
#199522
#199452
#199252
#199112
#198802
#198772
#198272
#198252
#197132
#195372
#195352
#194202
#194192
#187452
#185682
#185622
#185612
#179522
#179262