Finite Group Databasebeta

← #6363974

Subgroups — #6363974

Order 512.

1604 conjugacy classes of subgroups.

The subgroup lattice has 1531 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62188C211yesmaximal, characteristic, complemented
2#61948C211yesmaximal, characteristic, complemented
3#61858C211yesmaximal, characteristic, complemented
4#61590C211yesmaximal, characteristic
5#20200C211yesmaximal, characteristic, complemented
6#20194C211yesmaximal, characteristic, complemented
7#20188C211yesmaximal, characteristic, complemented
8#20174C211yesmaximal, characteristic, complemented
9#20110C211yesmaximal, characteristic, complemented
10#20088C211yesmaximal, characteristic, complemented
11#20072C211yesmaximal, characteristic, complemented
12#20046C211yesmaximal, characteristic, complemented
13#19924C211yesmaximal, characteristic, complemented
14#19910C211yesmaximal, characteristic, complemented
15#19896C211yesmaximal, characteristic, complemented
16#19891C211yesmaximal, characteristic, complemented
17#19832C211yesmaximal, characteristic, complemented
18#19822C211yesmaximal, characteristic, complemented
19#19807C211yesmaximal, characteristic, complemented
20#19804C211yesmaximal, characteristic, complemented
21#19718C211yesmaximal, characteristic, complemented
22#19536C211yesmaximal, characteristic, complemented
23#19526C211yesmaximal, characteristic, complemented
24#19426C211yesmaximal, characteristic, complemented
25#19419C211yesmaximal, characteristic, complemented
26#18744C211yesmaximal, characteristic, complemented
27#18583C211yesmaximal, characteristic, complemented
28#18570C211yesmaximal, characteristic, complemented
29#18555C211yesmaximal, characteristic, complemented
30#17952C211yesmaximal, characteristic, complemented
31#17926C211yesmaximal, characteristic, complemented
32#3555C2211yescharacteristic, complemented
33#3519C2211yescharacteristic
34#3503C2211yescharacteristic, complemented
35D4×#41C2211yescharacteristic
36#3392C2211yescharacteristic
37#3392C2211yescharacteristic
38#3388—21no—
39#3387—21no—
40#3387C2211yescharacteristic, complemented
41#3385C2211yescharacteristic, complemented
42#3384C2211yescharacteristic, complemented
43#3381C2211yescharacteristic, complemented
44#3381C2211yescharacteristic, complemented
45Q8×SD16C2211yescharacteristic, complemented
46#3376—21no—
47#3374C2211yescharacteristic, complemented
48#3369—21no—
49#3368C2211yescharacteristic
50#3367C2211yescharacteristic, complemented
51#3364C2211yescharacteristic, complemented
52#3362C2211yescharacteristic
53#3359C2211yescharacteristic, complemented
54#3359C2211yescharacteristic, complemented
55#3359C2211yescharacteristic, complemented
56#3357C2211yescharacteristic
57#3351—21no—
58#3350—21no—
59#3340C2211yescharacteristic
60#3333C2211yescharacteristic
61#3331C2211yescharacteristic
62#3329C2211yescharacteristic
63#3326—21no—
64#3325C2211yescharacteristic
65#3324—21no—
66#3324C2211yescharacteristic, complemented
67#3322—21no—
68#3310—21no—
69#3298—21no—
70#3298—21no—
71#3298C2211yescharacteristic
72#3298C2211yescharacteristic
73#3295C2211yescharacteristic, complemented
74D4×SD16—21no—
75D4×SD16—21no—
76D4×SD16C2211yescharacteristic, complemented
77D4×SD16C2211yescharacteristic, complemented
78#3278C2211yescharacteristic
79#3275—21no—
80#3274C2211yescharacteristic
81#3274C2211yescharacteristic
82#3273—21no—
83#3272C2211yescharacteristic
84#3260—21no—
85#3254C2211yescharacteristic, complemented
86#3246—21no—
87#3246C2211yescharacteristic, complemented
88#3244—21no—
89#3242—21no—
90#3241—21no—
91#3239C2211yescharacteristic, complemented
92#3229C2211yescharacteristic, complemented
93#3228C2211yescharacteristic, complemented
94#3212C2211yescharacteristic
95#3207C2211yescharacteristic
96#3206—21no—
97#3206C2211yescharacteristic, complemented
98#3197—21no—
99#3194—21no—
100#3182C2211yescharacteristic, complemented
101#3141C2211yescharacteristic, complemented
102#3125—21no—
103#3123—21no—
104#3120—21no—
105#3116C2211yescharacteristic, complemented
106#3106C2211yescharacteristic
107#3102C2211yescharacteristic
108#3101—21no—
109#3101C2211yescharacteristic
110#3081—21no—
111#3077C2211yescharacteristic
112C2×#461—21no—
113C2×#461C2211yescharacteristic
114#3006—21no—
115#3005—21no—
116#2993C2211yescharacteristic, complemented
117#2988C2211yescharacteristic, complemented
118#2985C2211yescharacteristic, complemented
119#2975C2211yescharacteristic
120#1719C2211yescharacteristic, complemented
121#1718C2211yescharacteristic, complemented
122#1718C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1715C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1708C2211yescharacteristic, complemented
127#1708C2211yescharacteristic, complemented
128#1700C2211yescharacteristic, complemented
129#1699C2211yescharacteristic, complemented
130#1699C2211yescharacteristic, complemented
131#1699C2211yescharacteristic, complemented
132#1699C2211yescharacteristic, complemented
133#1699C2211yescharacteristic, complemented
134#1698C2211yescharacteristic, complemented
135#1698C2211yescharacteristic, complemented
136#1691C2211yescharacteristic, complemented
137#1691C2211yescharacteristic, complemented
138#1691C2211yescharacteristic, complemented
139#1691C2211yescharacteristic, complemented
140#1686C2211yescharacteristic, complemented
141#1686C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1684C2211yescharacteristic, complemented
146#1682C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1680C2211yescharacteristic, complemented
149#1679C2211yescharacteristic, complemented
150#1678C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1676C2211yescharacteristic, complemented
153#1675C2211yescharacteristic, complemented
154#1672C2211yescharacteristic, complemented
155#1671C2211yescharacteristic, complemented
156#1668C2211yescharacteristic, complemented
157#1668C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1650C2211yescharacteristic, complemented
161#1649C2211yescharacteristic, complemented
162#1648C2211yescharacteristic, complemented
163#1647C2211yescharacteristic
164#1646C2211yescharacteristic
165#1646C2211yescharacteristic
166#1645C2211yescharacteristic, complemented
167#1643C2211yescharacteristic, complemented
168#1643C2211yescharacteristic, complemented
169#1643C2211yescharacteristic, complemented
170#1642C2211yescharacteristic
171#1642C2211yescharacteristic
172#1641C2211yescharacteristic
173#1639C2211yescharacteristic, complemented
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1637C2211yescharacteristic, complemented
177#1637C2211yescharacteristic, complemented
178#1637C2211yescharacteristic, complemented
179#1636C2211yescharacteristic, complemented
180#1636C2211yescharacteristic, complemented
181#1635C2211yescharacteristic
182#1631C2211yescharacteristic
183#1629C2211yescharacteristic, complemented
184#1628C2211yescharacteristic, complemented
185#1627C2211yescharacteristic, complemented
186#1627C2211yescharacteristic, complemented
187#1626C2211yescharacteristic, complemented
188#1626C2211yescharacteristic, complemented
189#1626C2211yescharacteristic, complemented
190#1623C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
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#1557C2211yescharacteristic, complemented
211#1551C2211yescharacteristic, complemented
212#1546C2211yescharacteristic, complemented
213#1542C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1489C2211yescharacteristic, complemented
216#1485C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C22×SD16—21no—
225C22×SD16—21no—
226C22×SD16—21no—
227#563—41no—
228Q82—21no—
229Q82C2311yescharacteristic
230#557—21no—
231#557C2311yescharacteristic
232#557C2311yescharacteristic
233#557C2311yescharacteristic
234#556—21no—
235#556—21no—
236#556C2311yescharacteristic
237#555C2311yescharacteristic
238#554—21no—
239#554—41no—
240#554C2311yescharacteristic
241#554C2311yescharacteristic
242#553—21no—
243#553—21no—
244#552—21no—
245#550C2311yescharacteristic
246#550C2311yescharacteristic
247D4×Q8—21no—
248D4×Q8—21no—
249D4×Q8C2311yescharacteristic
250D4×Q8C2311yescharacteristic
251D4×Q8C2311yescharacteristic
252#548—21no—
253#547—21no—
254#547C2311yescharacteristic
255#546—21no—
256#546—21no—
257#546—41no—
258#546—41no—
259D42—21no—
260D42—21no—
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263#544—21no—
264#544—21no—
265#544—41no—
266#542—21no—
267#541—21no—
268#541—21no—
269#541—41no—
270#540—21no—
271#538—41no—
272#533—21no—
273#533C2311yescharacteristic
274#533C2311yescharacteristic
275#532—21no—
276#532C2311yescharacteristic
277#532C2311yescharacteristic
278C2×C4⋊Q8—21no—
279C2×C4⋊Q8C2311yescharacteristic
280#529C2311yescharacteristic
281#525—21no—
282#525—21no—
283#525—41no—
284C2×#121—21no—
285#520—21no—
286#518—21no—
287C4×#41C2311yescharacteristic
288C2×C4×D4—21no—
289C2×C4×D4C2311yescharacteristic
290#501—21no—
291#501—21no—
292#501—21no—
293#501—21no—
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#499—21no—
297#499—21no—
298#498—21no—
299#498C2311yescharacteristic
300#498C2311yescharacteristic
301#498C2311yescharacteristic
302#495—21no—
303#493C2311yescharacteristic
304#492—21no—
305#492—21no—
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#492C2311yescharacteristic
310#491—21no—
311#490—21no—
312#489—21no—
313#489—21no—
314#489—41no—
315#488—21no—
316#488—21no—
317#487—21no—
318#487—21no—
319#487—21no—
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#487C2311yescharacteristic
326#487C2311yescharacteristic
327#487C2311yescharacteristic
328#486—21no—
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#485—21no—
336#485—21no—
337#485—21no—
338#485—21no—
339#485D411yescharacteristic
340#484—21no—
341#483—21no—
342#483—21no—
343#483—21no—
344#483—21no—
345#483—21no—
346#483D411yescharacteristic
347#483D411yescharacteristic
348#482—21no—
349#482—21no—
350#482—21no—
351#482—21no—
352#482—21no—
353#482—21no—
354#482D411yescharacteristic
355#481—21no—
356#481—21no—
357#480—21no—
358#480—21no—
359#479—21no—
360#479—21no—
361#479—21no—
362#479—21no—
363#479—21no—
364#479—21no—
365#479D411yescharacteristic
366#478—21no—
367#478—21no—
368#478—21no—
369#478—21no—
370#478—21no—
371#478—21no—
372#478—21no—
373#478—21no—
374#478D411yescharacteristic
375#477—21no—
376#477C2311yescharacteristic
377#477C2311yescharacteristic
378#477C2311yescharacteristic
379#477C2311yescharacteristic
380#476—21no—
381#476—21no—
382#476—21no—
383#476—21no—
384#476D411yescharacteristic
385#476D411yescharacteristic
386#476C2311yescharacteristic
387#476C2311yescharacteristic
388#476C2311yescharacteristic
389#476C2311yescharacteristic
390#475—21no—
391#475—21no—
392#475—21no—
393#475—21no—
394#475—21no—
395#475—21no—
396#475—21no—
397#475C2311yescharacteristic
398#475C2311yescharacteristic
399#475C2311yescharacteristic
400#475C2311yescharacteristic
401#474—21no—
402#474—21no—
403#474C2311yescharacteristic
404#474C2311yescharacteristic
405#474C2311yescharacteristic
406#474C2311yescharacteristic
407#470—21no—
408#469—21no—
409#469—21no—
410#469—21no—
411#468—21no—
412#468—21no—
413#468—21no—
414#468—21no—
415#468—21no—
416#468—21no—
417#468—21no—
418#468—21no—
419#468—41no—
420#465—21no—
421#465—21no—
422#465—21no—
423#465—21no—
424#465—21no—
425#465—21no—
426#465—21no—
427#465—21no—
428#464—21no—
429#464D411yescharacteristic
430#463—21no—
431#463—21no—
432#463—21no—
433#463D411yescharacteristic
434#462—21no—
435#462C2311yescharacteristic
436#462C2311yescharacteristic
437#461—21no—
438#461—21no—
439#461—21no—
440#461—21no—
441#461—21no—
442#461—21no—
443#461—21no—
444#461—21no—
445#461—21no—
446#461—21no—
447#461—21no—
448#461D411yescharacteristic
449#461D411yescharacteristic
450#461C2311yescharacteristic
451#461C2311yescharacteristic
452#461C2311yescharacteristic
453#461C2311yescharacteristic
454#461C2311yescharacteristic
455#461C2311yescharacteristic
456#460—21no—
457#460—21no—
458#460—21no—
459#460—21no—
460#460C2311yescharacteristic
461#460C2311yescharacteristic
462#460C2311yescharacteristic
463#460C2311yescharacteristic
464#460C2311yescharacteristic
465#460C2311yescharacteristic
466#459C2311yescharacteristic
467#459C2311yescharacteristic
468#452—21no—
469#452—21no—
470#452—21no—
471#452—21no—
472#452—21no—
473#452D411yescharacteristic
474#450—21no—
475#450—21no—
476#450—21no—
477#450—21no—
478#450—21no—
479#450D411yescharacteristic
480#450D411yescharacteristic
481#449—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#449—21no—
486#449—21no—
487#449—21no—
488#449D411yescharacteristic
489#448—21no—
490#448—21no—
491#448—21no—
492#448—21no—
493#448—21no—
494#448—21no—
495#448—21no—
496#448—21no—
497#447—21no—
498#447—21no—
499#447—21no—
500#446—21no—
501#446—21no—
502#446C2311yescharacteristic
503#446C2311yescharacteristic
504#446C2311yescharacteristic
505C8×Q8C2311yescharacteristic
506C8×Q8C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508C8×Q8C2311yescharacteristic
509C8×Q8C2311yescharacteristic
510#442—21no—
511#441—21no—
512#441—21no—
513#441—21no—
514#440—21no—
515#440—21no—
516#440—21no—
517#440—21no—
518#440—41no—
519C4×Q16—21no—
520C4×Q16C2311yescharacteristic
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16—21no—
526C4×SD16—21no—
527C4×SD16—21no—
528C4×SD16—21no—
529C4×SD16—21no—
530C4×SD16—21no—
531C4×SD16C2311yescharacteristic
532C4×SD16C2311yescharacteristic
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×SD16C2311yescharacteristic
536C4×SD16C2311yescharacteristic
537C4×D8—21no—
538C4×D8C2311yescharacteristic
539#436—21no—
540#436—21no—
541#436—21no—
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#436C2311yescharacteristic
547#435—21no—
548C8×D4—21no—
549C8×D4—21no—
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552C8×D4C2311yescharacteristic
553#433—21no—
554#433—21no—
555#433—21no—
556#432C2311yescharacteristic
557#431—21no—
558#431C2311yescharacteristic
559#431C2311yescharacteristic
560#431C2311yescharacteristic
561#428—21no—
562#428—21no—
563#427—21no—
564#424—21no—
565#423C2311yescharacteristic
566C2×C4⋊C8—21no—
567C2×C4⋊C8C2311yescharacteristic
568#419—21no—
569#418—21no—
570#418—21no—
571#418—21no—
572#417—21no—
573#417—21no—
574#417—41no—
575C2×#103—21no—
576C2×#103—21no—
577C2×#103—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#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
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×#41—41no—
633C2×#41—82no—
634C2×#41—82no—
635C2×#41C2×D411yescharacteristic
636C22×Q8—21no—
637C22×Q8—21no—
638C22×Q8—21no—
639C22×Q8—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—41no—
645C22×D4—41no—
646C22×D4C2×D411yescharacteristic
647C23×C4—21no—
648C23×C4—41no—
649#137—82no—
650AGL(1,ℤ/8)—82no—
651AGL(1,ℤ/8)—82no—
652AGL(1,ℤ/8)—82no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16C2×D411yescharacteristic
656C2×SD16—21no—
657C2×SD16—21no—
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—41no—
675C2×SD16—82no—
676C2×SD16—82no—
677C2×SD16—82no—
678C2×SD16C2×D411yescharacteristic
679C2×SD16C2×D411yescharacteristic
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×D8C2×D411yescharacteristic
689C2×M16—21no—
690C2×M16—21no—
691C2×M16—21no—
692C2×M16—21no—
693C2×M16—21no—
694C2×M16—21no—
695C2×M16—21no—
696C22×C8—21no—
697C22×C8—21no—
698C22×C8—21no—
699C22×C8—21no—
700C4⋊Q8—21no—
701C4⋊Q8—21no—
702C4⋊Q8—21no—
703C4⋊Q8—21no—
704C4⋊Q8—21no—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—21no—
709C4⋊Q8—21no—
710C4⋊Q8—21no—
711C4⋊Q8—41no—
712C4⋊Q8—41no—
713C4⋊Q8—41no—
714C4⋊Q8—41no—
715C4⋊Q8—41no—
716C4⋊Q8—41no—
717C4⋊Q8C2×D411yescharacteristic
718C4⋊Q8C2×D411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722C4⋊Q8C2411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725#127—21no—
726#127—21no—
727#127C2411yescharacteristic
728#127C2411yescharacteristic
729#126—21no—
730#126—41no—
731#126—41no—
732#126—41no—
733#126—41no—
734#126—41no—
735#126—41no—
736#126—41no—
737#125—21no—
738#125—21no—
739#125—21no—
740#125—21no—
741#125—21no—
742#125—21no—
743#125—21no—
744#125—41no—
745#125—41no—
746#125—41no—
747#125—41no—
748#125—41no—
749#125—41no—
750#125—41no—
751#125—41no—
752#125C2×D411yescharacteristic
753#124—21no—
754#124—21no—
755#124—21no—
756#124—41no—
757#124—41no—
758#124—41no—
759#124C2×D411yescharacteristic
760#123—21no—
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⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8C2×D411yescharacteristic
792C22⋊Q8C2×D411yescharacteristic
793C22⋊Q8C2×D411yescharacteristic
794#121—21no—
795#121—21no—
796#121—21no—
797#121—21no—
798#121—21no—
799#121—21no—
800#121—21no—
801#121—21no—
802#121—21no—
803#121—21no—
804#121—21no—
805#121—21no—
806#121—21no—
807#121—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—
822C4×Q8—21no—
823C4×Q8—21no—
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×Q8—41no—
835C4×Q8—41no—
836C4×Q8C2×D411yescharacteristic
837C4×Q8C2411yescharacteristic
838C4×Q8C2411yescharacteristic
839C4×Q8C2411yescharacteristic
840C4×Q8C2411yescharacteristic
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—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—41no—
858C4×D4—41no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4—41no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4C2×D411yescharacteristic
866C4×D4C2×D411yescharacteristic
867C4×D4C2×D411yescharacteristic
868C4×D4C2411yescharacteristic
869C4×D4C2411yescharacteristic
870C4×D4C2411yescharacteristic
871C4×D4C2411yescharacteristic
872#117—21no—
873#117—21no—
874#117—21no—
875#117—21no—
876#117—21no—
877#117—21no—
878#117—21no—
879#117—41no—
880#117—41no—
881#117C2×D411yescharacteristic
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—41no—
888C2×C4⋊C4—41no—
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C22⋊C4—21no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C42—21no—
895C2×C42C2411yescharacteristic
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—41no—
907#107C2×D411yescharacteristic
908#107C2×D411yescharacteristic
909#106—21no—
910#106—21no—
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—21no—
922#106—21no—
923#106C2×D411yescharacteristic
924#106C2×D411yescharacteristic
925#106C2×D411yescharacteristic
926#106C2×D411yescharacteristic
927#106C2×D411yescharacteristic
928#106C2×D411yescharacteristic
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⋊C8—21no—
939C4⋊C8C2×D411yescharacteristic
940C4⋊C8C2×D411yescharacteristic
941C4⋊C8C2×D411yescharacteristic
942C4⋊C8C2×D411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951#103—21no—
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—21no—
975#103—21no—
976#103—21no—
977#103—41no—
978#103—41no—
979#103—41no—
980#103C2×D411yescharacteristic
981#103C2×D411yescharacteristic
982#103C2×D411yescharacteristic
983#103C2×D411yescharacteristic
984#103C2×D411yescharacteristic
985#103C2×D411yescharacteristic
986#103C2×D411yescharacteristic
987#103C2×D411yescharacteristic
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#102—41no—
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8C2×D411yescharacteristic
1032C22⋊C8C2×D411yescharacteristic
1033C22⋊C8C2×D411yescharacteristic
1034C22⋊C8C2×D411yescharacteristic
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040C4×C8—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C24—21no—
1053C24—41no—
1054C24—41no—
1055#41—22no—
1056#41—22no—
1057#41—42no—
1058#41—42no—
1059#41—81no—
1060#41—81no—
1061#41—84no—
1062#41—81no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—82no—
1067#41—84no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—41no—
1076C2×Q8—41no—
1077C2×Q8—41no—
1078C2×Q8—41no—
1079C2×Q8—41no—
1080C2×Q8—42no—
1081C2×Q8—81no—
1082C2×Q8—81no—
1083C2×Q8—81no—
1084C2×Q8—81no—
1085C2×Q8—81no—
1086C2×Q8—81no—
1087C2×Q8—81no—
1088C2×Q8C22×D411yescharacteristic
1089C2×Q8C22×D411yescharacteristic
1090C2×Q8C22×D411yescharacteristic
1091C2×Q8C22×D411yescharacteristic
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—41no—
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—41no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—84no—
1124C2×D4—162no—
1125C2×D4C22×D411yescharacteristic
1126C2×D4C22×D411yescharacteristic
1127C2×D4C22×D411yescharacteristic
1128C2×D4C22×D411yescharacteristic
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—81no—
1150C22×C4—81no—
1151C22×C4—84no—
1152C22×C4C22×D411yescharacteristic
1153C22×C4C22×D411yescharacteristic
1154C22×C4H(5,𝔽2)11yescharacteristic
1155Q16—22no—
1156Q16—42no—
1157Q16—81no—
1158SD16—22no—
1159SD16—22no—
1160SD16—41no—
1161SD16—41no—
1162SD16—41no—
1163SD16—41no—
1164SD16—42no—
1165SD16—42no—
1166SD16—42no—
1167SD16—42no—
1168SD16—81no—
1169SD16—81no—
1170SD16—81no—
1171SD16—81no—
1172SD16—81no—
1173SD16—81no—
1174SD16—81no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178SD16—81no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182SD16—82no—
1183D8—22no—
1184D8—42no—
1185D8—81no—
1186D8—81no—
1187D8—81no—
1188M16—81no—
1189M16—81no—
1190M16—81no—
1191M16—81no—
1192M16—81no—
1193M16—81no—
1194M16—81no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—81no—
1206C2×C8—81no—
1207C2×C8—81no—
1208C2×C8—81no—
1209C2×C8C22×D411yescharacteristic
1210C2×C8C22×D411yescharacteristic
1211C2×C8C22×D411yescharacteristic
1212C2×C8C22×D411yescharacteristic
1213C2×C8C22×D411yescharacteristic
1214C2×C8C22×D411yescharacteristic
1215C2×C8C22×D411yescharacteristic
1216C2×C8C22×D411yescharacteristic
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—21no—
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
1234C4⋊C4—21no—
1235C4⋊C4—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4C22×D411yescharacteristic
1268C4⋊C4C22×D411yescharacteristic
1269C4⋊C4C22×D411yescharacteristic
1270C4⋊C4C22×D411yescharacteristic
1271C4⋊C4C22×D411yescharacteristic
1272C4⋊C4C22×D411yescharacteristic
1273C4⋊C4C22×D411yescharacteristic
1274C4⋊C4C22×D411yescharacteristic
1275C22⋊C4—21no—
1276C22⋊C4—21no—
1277C22⋊C4—21no—
1278C22⋊C4—21no—
1279C22⋊C4—21no—
1280C22⋊C4—21no—
1281C22⋊C4—21no—
1282C22⋊C4—21no—
1283C22⋊C4—21no—
1284C22⋊C4—21no—
1285C22⋊C4—21no—
1286C22⋊C4—21no—
1287C22⋊C4—21no—
1288C22⋊C4—21no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C42—21no—
1309C42—21no—
1310C42—21no—
1311C42—21no—
1312C42—21no—
1313C42—21no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C42—41no—
1321C42C22×D411yescharacteristic
1322C42C22×D411yescharacteristic
1323C42H(5,𝔽2)11yescharacteristic
1324C42C2511yescharacteristic
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—41no—
1330C23—41no—
1331C23—81no—
1332C23—81no—
1333C23—81no—
1334C23—82no—
1335C23—82no—
1336C23—82no—
1337C23—161no—
1338C23—161no—
1339C23—161no—
1340C23D4211yescharacteristic
1341Q8—21no—
1342Q8—21no—
1343Q8—21no—
1344Q8—21no—
1345Q8—21no—
1346Q8—21no—
1347Q8—21no—
1348Q8—41no—
1349Q8—41no—
1350Q8—41no—
1351Q8—41no—
1352Q8—41no—
1353Q8—41no—
1354Q8—41no—
1355Q8—41no—
1356Q8—81no—
1357Q8—82no—
1358Q8—81no—
1359Q8—81no—
1360Q8—161no—
1361Q8—161no—
1362Q8—161no—
1363Q8—161no—
1364Q8#57712yes—
1365D4—24no—
1366D4—21no—
1367D4—21no—
1368D4—21no—
1369D4—21no—
1370D4—21no—
1371D4—21no—
1372D4—21no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—81no—
1382D4—82no—
1383D4—81no—
1384D4—81no—
1385D4—81no—
1386D4—82no—
1387D4—82no—
1388D4—82no—
1389D4—82no—
1390D4—82no—
1391D4—82no—
1392D4—161no—
1393D4—161no—
1394D4—161no—
1395D4—161no—
1396D4—161no—
1397D4#57712yes—
1398C2×C4—24no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—81no—
1431C2×C4—81no—
1432C2×C4—81no—
1433C2×C4—82no—
1434C2×C4—82no—
1435C2×C4—82no—
1436C2×C4—81no—
1437C2×C4—82no—
1438C2×C4—161no—
1439C2×C4—161no—
1440C2×C4—161no—
1441C2×C4—161no—
1442C2×C4—161no—
1443C2×C4—161no—
1444C2×C4—161no—
1445C2×C4D4211yescharacteristic
1446C2×C4D4211yescharacteristic
1447C2×C4D4211yescharacteristic
1448C2×C4C23×D411yescharacteristic
1449C2×C4C23×D411yescharacteristic
1450C2×C4C2×H(5,𝔽2)11yescharacteristic
1451C8—21no—
1452C8—21no—
1453C8—21no—
1454C8—21no—
1455C8—21no—
1456C8—21no—
1457C8—21no—
1458C8—21no—
1459C8—41no—
1460C8—41no—
1461C8—41no—
1462C8—41no—
1463C8—41no—
1464C8—41no—
1465C8—41no—
1466C8—41no—
1467C8—41no—
1468C8—41no—
1469C22—21no—
1470C22—22no—
1471C22—21no—
1472C22—21no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22—162no—
1491C22—164no—
1492C22—322no—
1493C22C2×D4211yescharacteristic
1494C4—21no—
1495C4—22no—
1496C4—21no—
1497C4—21no—
1498C4—21no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—81no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C4—81no—
1515C4—81no—
1516C4C2×#57711yescharacteristic
1517C4C2×#57711yescharacteristic
1518C4#358511yescharacteristic
1519C4#358611yescharacteristic
1520C2—41no—
1521C2—42no—
1522C2—81no—
1523C2—81no—
1524C2—81no—
1525C2—161no—
1526C2—161no—
1527C2#6105011yescharacteristic
1528C2#6106211yescharacteristic
1529C2#6110911yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
prime radical#61590C2
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. #61948C2semidirect
3. #61858C2semidirect
5. #20200C2semidirect
6. #20194C2semidirect
7. #20188C2semidirect
8. #20174C2semidirect
9. #20110C2semidirect
10. #20088C2semidirect
11. #20072C2semidirect
12. #20046C2semidirect
13. #19924C2semidirect
14. #19910C2semidirect
15. #19896C2semidirect
16. #19891C2semidirect
17. #19832C2semidirect
18. #19822C2semidirect
19. #19807C2semidirect
20. #19804C2semidirect
21. #19718C2semidirect
22. #19536C2semidirect
23. #19526C2semidirect
24. #19426C2semidirect
25. #19419C2semidirect
26. #18744C2semidirect
27. #18583C2semidirect
28. #18570C2semidirect
29. #18555C2semidirect
30. #17952C2semidirect
31. #17926C2semidirect
32. #3555C22semidirect
34. #3503C22semidirect
40. #3387C22semidirect
41. #3385C22semidirect
42. #3384C22semidirect
43. #3381C22semidirect
44. #3381C22semidirect
45. Q8×SD16C22semidirect
47. #3374C22semidirect
50. #3367C22semidirect
51. #3364C22semidirect
53. #3359C22semidirect
54. #3359C22semidirect
55. #3359C22semidirect
66. #3324C22semidirect
73. #3295C22semidirect
76. D4×SD16C22semidirect
77. D4×SD16C22semidirect
85. #3254C22semidirect
87. #3246C22semidirect
91. #3239C22semidirect
92. #3229C22semidirect
93. #3228C22semidirect
97. #3206C22semidirect
100. #3182C22semidirect
101. #3141C22semidirect
105. #3116C22semidirect
116. #2993C22semidirect
117. #2988C22semidirect
118. #2985C22semidirect
120. #1719C22semidirect
121. #1718C22semidirect
122. #1718C22semidirect
123. #1717C22semidirect
124. #1715C22semidirect
125. #1714C22semidirect
126. #1708C22semidirect
127. #1708C22semidirect
128. #1700C22semidirect
129. #1699C22semidirect
130. #1699C22semidirect
131. #1699C22semidirect
132. #1699C22semidirect
133. #1699C22semidirect
134. #1698C22semidirect
135. #1698C22semidirect
136. #1691C22semidirect
137. #1691C22semidirect
138. #1691C22semidirect
139. #1691C22semidirect
140. #1686C22semidirect
141. #1686C22semidirect
142. #1686C22semidirect
143. #1685C22semidirect
144. #1684C22semidirect
145. #1684C22semidirect
146. #1682C22semidirect
147. #1681C22semidirect
148. #1680C22semidirect
149. #1679C22semidirect
150. #1678C22semidirect
151. #1677C22semidirect
152. #1676C22semidirect
153. #1675C22semidirect
154. #1672C22semidirect
155. #1671C22semidirect
156. #1668C22semidirect
157. #1668C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
160. #1650C22semidirect
161. #1649C22semidirect
162. #1648C22semidirect
166. #1645C22semidirect
167. #1643C22semidirect
168. #1643C22semidirect
169. #1643C22semidirect
173. #1639C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
176. #1637C22semidirect
177. #1637C22semidirect
178. #1637C22semidirect
179. #1636C22semidirect
180. #1636C22semidirect
183. #1629C22semidirect
184. #1628C22semidirect
185. #1627C22semidirect
186. #1627C22semidirect
187. #1626C22semidirect
188. #1626C22semidirect
189. #1626C22semidirect
190. #1623C22semidirect
191. #1622C22semidirect
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. #1557C22semidirect
211. #1551C22semidirect
212. #1546C22semidirect
213. #1542C22semidirect
215. #1489C22semidirect
216. #1485C22semidirect
217. #1483C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621882
#619482
#618582
#615902
#202002
#201942
#201882
#201742
#201102
#200882
#200722
#200462
#199242
#199102
#198962
#198912
#198322
#198222
#198072
#198042
#197182
#195362
#195262
#194262
#194192
#187442
#185832
#185702
#185552
#179522
#179262