Finite Group Databasebeta

← #6369276

Subgroups — #6369276

Order 512.

1675 conjugacy classes of subgroups.

The subgroup lattice has 1559 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62137C211yesmaximal, characteristic, complemented
2#61595C211yesmaximal, characteristic, complemented
3#61541C211yesmaximal, characteristic, complemented
4#61161C211yesmaximal, characteristic, complemented
5#20290C211yesmaximal, characteristic, complemented
6#20257C211yesmaximal, characteristic, complemented
7#20198C211yesmaximal, characteristic, complemented
8#20179C211yesmaximal, characteristic, complemented
9#20178C211yesmaximal, characteristic, complemented
10#20069C211yesmaximal, characteristic, complemented
11#20056C211yesmaximal, characteristic, complemented
12#20043C211yesmaximal, characteristic, complemented
13#20025C211yesmaximal, characteristic, complemented
14#19988C211yesmaximal, characteristic, complemented
15#19902C211yesmaximal, characteristic, complemented
16#19894C211yesmaximal, characteristic, complemented
17#19824C211yesmaximal, characteristic, complemented
18#19772C211yesmaximal, characteristic, complemented
19#19772C211yesmaximal, characteristic, complemented
20#19766C211yesmaximal, characteristic, complemented
21#19716C211yesmaximal, characteristic, complemented
22#19485C211yesmaximal, characteristic, complemented
23#19467C211yesmaximal, characteristic, complemented
24#19383C211yesmaximal, characteristic, complemented
25#19307C211yesmaximal, characteristic, complemented
26#18845C211yesmaximal, characteristic, complemented
27#18822C211yesmaximal, characteristic, complemented
28#18806C211yesmaximal, characteristic, complemented
29#18757C211yesmaximal, characteristic, complemented
30#18050C211yesmaximal, characteristic, complemented
31#18008C211yesmaximal, characteristic, complemented
32#3520C2211yescharacteristic, complemented
33#3515C2211yescharacteristic
34D4×#41C2211yescharacteristic
35C2×#547C2211yescharacteristic
36#3398C2211yescharacteristic, complemented
37#3386C2211yescharacteristic, complemented
38#3384C2211yescharacteristic, complemented
39#3384C2211yescharacteristic, complemented
40#3368C2211yescharacteristic, complemented
41#3366C2211yescharacteristic, complemented
42#3360C2211yescharacteristic, complemented
43#3359C2211yescharacteristic, complemented
44#3345—21no—
45#3344—21no—
46#3343—21no—
47#3335C2211yescharacteristic, complemented
48#3335C2211yescharacteristic, complemented
49#3334C2211yescharacteristic, complemented
50#3332C2211yescharacteristic
51#3332C2211yescharacteristic
52#3331—21no—
53#3331C2211yescharacteristic, complemented
54#3330C2211yescharacteristic
55#3330C2211yescharacteristic
56#3330C2211yescharacteristic
57#3330C2211yescharacteristic, complemented
58#3330C2211yescharacteristic, complemented
59#3323—21no—
60#3318—21no—
61#3315—21no—
62#3315—21no—
63#3310—21no—
64#3308—21no—
65#3308—21no—
66#3306—21no—
67#3306—21no—
68#3302C2211yescharacteristic
69#3302C2211yescharacteristic, complemented
70#3298C2211yescharacteristic
71#3298C2211yescharacteristic
72#3295C2211yescharacteristic, complemented
73#3294C2211yescharacteristic
74#3294C2211yescharacteristic
75#3294C2211yescharacteristic, complemented
76#3283C2211yescharacteristic
77#3283C2211yescharacteristic, complemented
78#3283C2211yescharacteristic, complemented
79#3276C2211yescharacteristic
80#3276C2211yescharacteristic, complemented
81#3269—21no—
82#3269—21no—
83#3267—21no—
84#3251C2211yescharacteristic
85#3247—21no—
86#3234—21no—
87#3229C2211yescharacteristic, complemented
88#3228C2211yescharacteristic
89#3228C2211yescharacteristic
90#3218C2211yescharacteristic, complemented
91#3209C2211yescharacteristic, complemented
92#3196—21no—
93#3189—21no—
94#3185C2211yescharacteristic, complemented
95#3178—21no—
96#3141C2211yescharacteristic
97#3125—21no—
98#3120—21no—
99#3114—21no—
100#3110C2211yescharacteristic
101#3107C2211yescharacteristic
102#3105C2211yescharacteristic
103#3101C2211yescharacteristic, complemented
104#3092—21no—
105#3079C2211yescharacteristic
106#3077C2211yescharacteristic
107C2×#478—21no—
108#3055—21no—
109#3036C2211yescharacteristic
110#3007—21no—
111#3006—21no—
112#3002—21no—
113#2990C2211yescharacteristic
114#2974C2211yescharacteristic, complemented
115#2969C2211yescharacteristic, complemented
116#2952—21no—
117C4×AGL(1,ℤ/8)C2211yescharacteristic
118D4×M16C2211yescharacteristic
119C2×#417—21no—
120#1723C2211yescharacteristic, complemented
121#1720C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1720C2211yescharacteristic, complemented
124#1718C2211yescharacteristic, complemented
125#1716C2211yescharacteristic, complemented
126#1711C2211yescharacteristic, complemented
127#1707C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1701C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1700C2211yescharacteristic, complemented
133#1700C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1693C2211yescharacteristic, complemented
139#1691C2211yescharacteristic, complemented
140#1691C2211yescharacteristic, complemented
141#1690C2211yescharacteristic, complemented
142#1690C2211yescharacteristic, complemented
143#1689C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1682C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1680C2211yescharacteristic, complemented
149#1679C2211yescharacteristic, complemented
150#1679C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1679C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1673C2211yescharacteristic, complemented
155#1671C2211yescharacteristic, complemented
156#1671C2211yescharacteristic, complemented
157#1669C2211yescharacteristic, complemented
158#1669C2211yescharacteristic, complemented
159#1669C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic
162#1654C2211yescharacteristic, complemented
163#1654C2211yescharacteristic, complemented
164#1654C2211yescharacteristic, complemented
165#1654C2211yescharacteristic, complemented
166#1654C2211yescharacteristic, complemented
167#1654C2211yescharacteristic, complemented
168#1653C2211yescharacteristic, complemented
169#1653C2211yescharacteristic, complemented
170#1651C2211yescharacteristic, complemented
171#1651C2211yescharacteristic, complemented
172#1650C2211yescharacteristic, complemented
173#1649C2211yescharacteristic, complemented
174#1647C2211yescharacteristic, complemented
175#1647C2211yescharacteristic, complemented
176#1644C2211yescharacteristic, complemented
177#1644C2211yescharacteristic, complemented
178#1643C2211yescharacteristic, complemented
179#1643C2211yescharacteristic, complemented
180#1642C2211yescharacteristic, complemented
181#1641C2211yescharacteristic, complemented
182#1639C2211yescharacteristic, complemented
183#1639C2211yescharacteristic, complemented
184#1635C2211yescharacteristic
185#1635C2211yescharacteristic
186#1635C2211yescharacteristic, complemented
187#1635C2211yescharacteristic, complemented
188#1628C2211yescharacteristic, complemented
189#1627C2211yescharacteristic, complemented
190#1625C2211yescharacteristic, complemented
191#1625C2211yescharacteristic, complemented
192#1592C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1586C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1585C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1580C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1561C2211yescharacteristic, complemented
211#1559C2211yescharacteristic, complemented
212#1553C2211yescharacteristic
213#1546C2211yescharacteristic, complemented
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic
216#1486C2211yescharacteristic, complemented
217#1478C2211yescharacteristic
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C22×#41—21no—
221C2×#137—21no—
222C2×#137—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)D411yescharacteristic
225C2×#135—21no—
226C2×#135—21no—
227C2×#135—21no—
228C22×M16—21no—
229#557C2311yescharacteristic
230#556C2311yescharacteristic
231#554—21no—
232#554C2311yescharacteristic
233#554C2311yescharacteristic
234#553—21no—
235#552—21no—
236#552—21no—
237#552—21no—
238#552—41no—
239#551—41no—
240#550C2311yescharacteristic
241D4×Q8C2311yescharacteristic
242D4×Q8C2311yescharacteristic
243#548—21no—
244#548—21no—
245#547—21no—
246#547—21no—
247#547—21no—
248#547—21no—
249#547—21no—
250#547—21no—
251#547—41no—
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#547C2311yescharacteristic
259#547C2311yescharacteristic
260#546—21no—
261#546—21no—
262#546—41no—
263D42—21no—
264D42C2311yescharacteristic
265#542—21no—
266#541—21no—
267#539—41no—
268#539—41no—
269#533C2311yescharacteristic
270#533C2311yescharacteristic
271#532—21no—
272#532C2311yescharacteristic
273C2×C4⋊Q8C2311yescharacteristic
274#529—21no—
275#529C2311yescharacteristic
276C2×#125—21no—
277#525—21no—
278#525—21no—
279#525—41no—
280C2×#123—41no—
281C2×C22⋊Q8—21no—
282C2×C22⋊Q8—21no—
283C2×#121—21no—
284#520—21no—
285#520—21no—
286C4×#41C2311yescharacteristic
287C2×C4×D4—21no—
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C22×C4⋊C4—21no—
291#501—21no—
292#501—21no—
293#501—21no—
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#498C2311yescharacteristic
297#498C2311yescharacteristic
298#498C2311yescharacteristic
299#498C2311yescharacteristic
300#498C2311yescharacteristic
301#497—21no—
302#497—21no—
303#494C2311yescharacteristic
304#494C2311yescharacteristic
305#494C2311yescharacteristic
306#491—21no—
307#490—21no—
308#490—21no—
309#489—21no—
310#489—21no—
311#488—21no—
312#487—21no—
313#487C2311yescharacteristic
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#486C2311yescharacteristic
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic
327#485—21no—
328#485—21no—
329#485—21no—
330#484—21no—
331#484—21no—
332#484—21no—
333#484—21no—
334#484—21no—
335#484—21no—
336#484D411yescharacteristic
337#483—21no—
338#483—21no—
339#483—21no—
340#483—21no—
341#483—21no—
342#483—21no—
343#483—41no—
344#482—21no—
345#482—21no—
346#482—41no—
347#481—21no—
348#481—21no—
349#481—21no—
350#481—21no—
351#481—21no—
352#481D411yescharacteristic
353#480—21no—
354#480—21no—
355#480—21no—
356#480—21no—
357#480—21no—
358#479—21no—
359#478—21no—
360#478—21no—
361#478—21no—
362#478—21no—
363#478—21no—
364#478—21no—
365#478—21no—
366#478—21no—
367#478—21no—
368#478—21no—
369#478—41no—
370#478D411yescharacteristic
371#478D411yescharacteristic
372#477—21no—
373#477—21no—
374#476—21no—
375#476—21no—
376#476—21no—
377#476C2311yescharacteristic
378#476C2311yescharacteristic
379#476C2311yescharacteristic
380#476C2311yescharacteristic
381#475—21no—
382#475—41no—
383#475C2311yescharacteristic
384#475C2311yescharacteristic
385#475C2311yescharacteristic
386#475C2311yescharacteristic
387#474C2311yescharacteristic
388#474C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#474C2311yescharacteristic
393#474C2311yescharacteristic
394#474C2311yescharacteristic
395#470—21no—
396#470—21no—
397#470—21no—
398#470—21no—
399#470—21no—
400#469—21no—
401#469—21no—
402#469—21no—
403#468—21no—
404#468—21no—
405#468—21no—
406#468—21no—
407#468—21no—
408#468—21no—
409#467—21no—
410#467—21no—
411#467—21no—
412#467—21no—
413#467—21no—
414#466—21no—
415#466—21no—
416#466—21no—
417#466—21no—
418#465—21no—
419#465—21no—
420#465—21no—
421#465—21no—
422#465—21no—
423#464—21no—
424#463—21no—
425#463—21no—
426#463—21no—
427#463—21no—
428#463D411yescharacteristic
429#463D411yescharacteristic
430#462—21no—
431#462—21no—
432#462—21no—
433#462C2311yescharacteristic
434#462C2311yescharacteristic
435#462C2311yescharacteristic
436#461—21no—
437#461C2311yescharacteristic
438#461C2311yescharacteristic
439#461C2311yescharacteristic
440#461C2311yescharacteristic
441#461C2311yescharacteristic
442#461C2311yescharacteristic
443#461C2311yescharacteristic
444#461C2311yescharacteristic
445#461C2311yescharacteristic
446#460—21no—
447#460C2311yescharacteristic
448#459—21no—
449#459C2311yescharacteristic
450#459C2311yescharacteristic
451#459C2311yescharacteristic
452#452—21no—
453#452—21no—
454#452—21no—
455#452—21no—
456#452—21no—
457#452—21no—
458#452—21no—
459#452—21no—
460#452—21no—
461#452—21no—
462#452—21no—
463#452—21no—
464#451—21no—
465#451—21no—
466#451—21no—
467#451—21no—
468#451—21no—
469#450—21no—
470#450—21no—
471#450—21no—
472#450D411yescharacteristic
473#449—21no—
474#449—21no—
475#449—21no—
476#449—21no—
477#449—21no—
478#449—21no—
479#449—21no—
480#448—21no—
481#448—21no—
482#448—21no—
483#447—21no—
484#447—21no—
485#447—21no—
486#447D411yescharacteristic
487#446C2311yescharacteristic
488#446C2311yescharacteristic
489#446C2311yescharacteristic
490C8×Q8C2311yescharacteristic
491#442—21no—
492#442—21no—
493#442—21no—
494#442D411yescharacteristic
495#442D411yescharacteristic
496#441—21no—
497#441—21no—
498#441—21no—
499#440—21no—
500#440—21no—
501#440—21no—
502#440—21no—
503#440D411yescharacteristic
504#440D411yescharacteristic
505C4×Q16—21no—
506C4×SD16—21no—
507C4×SD16—21no—
508C4×SD16—21no—
509C4×SD16—21no—
510C4×SD16—21no—
511C4×SD16C2311yescharacteristic
512C4×SD16C2311yescharacteristic
513C4×SD16C2311yescharacteristic
514C4×SD16C2311yescharacteristic
515C4×D8C2311yescharacteristic
516C4×D8C2311yescharacteristic
517C4×D8C2311yescharacteristic
518C4×D8C2311yescharacteristic
519#436—21no—
520#436C2311yescharacteristic
521#436C2311yescharacteristic
522#436C2311yescharacteristic
523#436C2311yescharacteristic
524#436C2311yescharacteristic
525#435—21no—
526#435—21no—
527#435—21no—
528#435—21no—
529#435—21no—
530#435—21no—
531#435—21no—
532C8×D4C2311yescharacteristic
533C8×D4C2311yescharacteristic
534C8×D4C2311yescharacteristic
535C8×D4C2311yescharacteristic
536C8×D4C2311yescharacteristic
537C8×D4C2311yescharacteristic
538C8×D4C2311yescharacteristic
539#433—21no—
540#432—21no—
541#432C2311yescharacteristic
542#431C2311yescharacteristic
543#431C2311yescharacteristic
544#431C2311yescharacteristic
545#428—21no—
546#428—21no—
547#428D411yescharacteristic
548C2×#107—21no—
549C2×#106—21no—
550C2×#106—21no—
551#423C2311yescharacteristic
552#423C2311yescharacteristic
553C2×C4⋊C8—21no—
554#418—21no—
555#418D411yescharacteristic
556#417—21no—
557#417—21no—
558#417—21no—
559#417—21no—
560#417—21no—
561#417—21no—
562#417—21no—
563#417—21no—
564#417—21no—
565#417—21no—
566#417—21no—
567#417—21no—
568#417D411yescharacteristic
569#416—21no—
570#416—21no—
571C2×#103—21no—
572C2×#103—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
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#332C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#332C2311yescharacteristic
603#332C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610D4⋊C8C2311yescharacteristic
611D4⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625C82C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—21no—
636C2×#41—41no—
637C2×#41—41no—
638C2×#41—41no—
639C2×#41—41no—
640C2×#41—44no—
641C2×#41—82no—
642C2×#41—82no—
643C2×#41—82no—
644C2×#41C2×D411yescharacteristic
645C22×Q8—21no—
646C22×Q8—21no—
647C22×Q8—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—41no—
651C22×D4—41no—
652C22×D4C2×D411yescharacteristic
653C22×D4C2×D411yescharacteristic
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—41no—
657C23×C4—41no—
658#137—82no—
659#137—82no—
660AGL(1,ℤ/8)—42no—
661AGL(1,ℤ/8)—82no—
662#135—44no—
663#135—82no—
664#135—82no—
665C2×Q16—21no—
666C2×Q16—21no—
667C2×Q16—21no—
668C2×Q16—21no—
669C2×Q16—21no—
670C2×Q16—21no—
671C2×Q16—21no—
672C2×Q16—21no—
673C2×Q16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—21no—
682C2×SD16—21no—
683C2×SD16—21no—
684C2×SD16C2×D411yescharacteristic
685C2×SD16C2×D411yescharacteristic
686C2×SD16C2×D411yescharacteristic
687C2×SD16C2×D411yescharacteristic
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8C2×D411yescharacteristic
692C2×D8C2×D411yescharacteristic
693C2×D8C2×D411yescharacteristic
694C2×D8C2×D411yescharacteristic
695C2×M16—21no—
696C2×M16—21no—
697C2×M16—21no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—82no—
703C2×M16C2×D411yescharacteristic
704C2×M16C2×D411yescharacteristic
705C22×C8—21no—
706C22×C8—21no—
707C22×C8—21no—
708C22×C8—21no—
709C22×C8—21no—
710C22×C8—21no—
711C22×C8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—21no—
714C4⋊Q8—21no—
715C4⋊Q8—21no—
716C4⋊Q8—21no—
717C4⋊Q8—21no—
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722C4⋊Q8C2411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725#127—21no—
726#127C2411yescharacteristic
727#126—21no—
728#126—41no—
729#126—41no—
730#126—41no—
731#126—41no—
732#126—41no—
733#125—21no—
734#125—21no—
735#125—21no—
736#125—21no—
737#125—21no—
738#125—41no—
739#125—41no—
740#125—41no—
741#125—41no—
742#125—41no—
743#125C2×D411yescharacteristic
744#124—21no—
745#124—21no—
746#124—41no—
747#124—41no—
748#124C2×D411yescharacteristic
749#123—21no—
750#123—41no—
751#123—41no—
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—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
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—21no—
785C22⋊Q8—21no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796C22⋊Q8C2×D411yescharacteristic
797#121—21no—
798#121—21no—
799#121—21no—
800#121—21no—
801#121—21no—
802#121—21no—
803#121—21no—
804#121—21no—
805#121—21no—
806#121—21no—
807#121—21no—
808#121—21no—
809#121—21no—
810#121—41no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121—41no—
815#121—41no—
816#121—41no—
817#121C2×D411yescharacteristic
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×Q8C2×D411yescharacteristic
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—41no—
847C4×D4—41no—
848C4×D4—41no—
849C4×D4—41no—
850C4×D4—41no—
851C4×D4—41no—
852C4×D4—41no—
853C4×D4—41no—
854C4×D4C2×D411yescharacteristic
855C4×D4C2×D411yescharacteristic
856C4×D4C2×D411yescharacteristic
857C4×D4C2×D411yescharacteristic
858C4×D4C2×D411yescharacteristic
859C4×D4C2411yescharacteristic
860C4×D4C2411yescharacteristic
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—41no—
871#117—41no—
872#117—41no—
873#117C2×D411yescharacteristic
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—41no—
887C2×C4⋊C4—41no—
888C2×C4⋊C4—41no—
889C2×C4⋊C4—41no—
890C2×C4⋊C4—41no—
891C2×C4⋊C4—41no—
892C2×C4⋊C4C2×D411yescharacteristic
893C2×C4⋊C4C2×D411yescharacteristic
894C2×C22⋊C4—21no—
895C2×C22⋊C4—21no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C42—21no—
900C2×C42C2411yescharacteristic
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#107—21no—
910#107—21no—
911#107—41no—
912#107C2×D411yescharacteristic
913#107C2×D411yescharacteristic
914#107C2×D411yescharacteristic
915#107C2×D411yescharacteristic
916#106—21no—
917#106—21no—
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—41no—
929#106—41no—
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—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—21no—
975#103—21no—
976#103—21no—
977#103—21no—
978#103—21no—
979#103—21no—
980#103—41no—
981#103—41no—
982#103C2×D411yescharacteristic
983#103C2×D411yescharacteristic
984#103C2×D411yescharacteristic
985#103C2×D411yescharacteristic
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#97—21no—
1044#97—21no—
1045#97C2×D411yescharacteristic
1046#97C2×D411yescharacteristic
1047C4×C8—21no—
1048C4×C8—21no—
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C24—21no—
1056C24—21no—
1057C24—41no—
1058#41—22no—
1059#41—41no—
1060#41—42no—
1061#41—42no—
1062#41—42no—
1063#41—42no—
1064#41—42no—
1065#41—42no—
1066#41—42no—
1067#41—42no—
1068#41—42no—
1069#41—42no—
1070#41—84no—
1071#41—81no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075#41—81no—
1076#41—81no—
1077#41—81no—
1078#41—81no—
1079#41—84no—
1080#41—81no—
1081#41—81no—
1082#41—84no—
1083#41—84no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—41no—
1092C2×Q8—41no—
1093C2×Q8—41no—
1094C2×Q8—42no—
1095C2×Q8—81no—
1096C2×Q8—81no—
1097C2×Q8—81no—
1098C2×Q8—81no—
1099C2×Q8—81no—
1100C2×Q8C22×D411yescharacteristic
1101C2×Q8C22×D411yescharacteristic
1102C2×D4—22no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—84no—
1131C2×D4—84no—
1132C2×D4C22×D411yescharacteristic
1133C2×D4C22×D411yescharacteristic
1134C2×D4C22×D411yescharacteristic
1135C2×D4C22×D411yescharacteristic
1136C2×D4C22×D411yescharacteristic
1137C2×D4C22×D411yescharacteristic
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—41no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—81no—
1170C22×C4—81no—
1171C22×C4—84no—
1172C22×C4—84no—
1173C22×C4C22×D411yescharacteristic
1174C22×C4C22×D411yescharacteristic
1175C22×C4H(5,𝔽2)11yescharacteristic
1176Q16—42no—
1177Q16—81no—
1178Q16—81no—
1179Q16—81no—
1180Q16—81no—
1181Q16—81no—
1182Q16—81no—
1183Q16—81no—
1184Q16—81no—
1185SD16—22no—
1186SD16—41no—
1187SD16—41no—
1188SD16—41no—
1189SD16—42no—
1190SD16—42no—
1191SD16—42no—
1192SD16—42no—
1193SD16—81no—
1194SD16—81no—
1195SD16—81no—
1196SD16—81no—
1197SD16—81no—
1198SD16—81no—
1199D8—22no—
1200D8—22no—
1201D8—22no—
1202D8—41no—
1203D8—81no—
1204D8—81no—
1205D8—81no—
1206M16—41no—
1207M16—41no—
1208M16—42no—
1209M16—81no—
1210M16—81no—
1211M16—81no—
1212M16—81no—
1213M16—81no—
1214M16—81no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—42no—
1226C2×C8—81no—
1227C2×C8—81no—
1228C2×C8—81no—
1229C2×C8—81no—
1230C2×C8—81no—
1231C2×C8—81no—
1232C2×C8C22×D411yescharacteristic
1233C2×C8C22×D411yescharacteristic
1234C2×C8C22×D411yescharacteristic
1235C2×C8C22×D411yescharacteristic
1236C2×C8C22×D411yescharacteristic
1237C2×C8C22×D411yescharacteristic
1238C2×C8C22×D411yescharacteristic
1239C2×C8C22×D411yescharacteristic
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
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—41no—
1263C4⋊C4—41no—
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—
1330C42—21no—
1331C42—21no—
1332C42—21no—
1333C42—21no—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42C22×D411yescharacteristic
1339C42C22×D411yescharacteristic
1340C42H(5,𝔽2)11yescharacteristic
1341C42C2511yescharacteristic
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—42no—
1349C23—42no—
1350C23—42no—
1351C23—41no—
1352C23—81no—
1353C23—81no—
1354C23—81no—
1355C23—82no—
1356C23—82no—
1357C23—161no—
1358C23D4211yescharacteristic
1359Q8—21no—
1360Q8—21no—
1361Q8—21no—
1362Q8—21no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—41no—
1373Q8—41no—
1374Q8—41no—
1375Q8—81no—
1376Q8—82no—
1377Q8—82no—
1378Q8—161no—
1379D4—21no—
1380D4—21no—
1381D4—21no—
1382D4—21no—
1383D4—21no—
1384D4—21no—
1385D4—21no—
1386D4—21no—
1387D4—21no—
1388D4—21no—
1389D4—42no—
1390D4—42no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—81no—
1396D4—81no—
1397D4—81no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—161no—
1410D4—161no—
1411D4#57512yes—
1412D4#57712yes—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—41no—
1428C2×C4—42no—
1429C2×C4—42no—
1430C2×C4—42no—
1431C2×C4—42no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—81no—
1452C2×C4—81no—
1453C2×C4—81no—
1454C2×C4—82no—
1455C2×C4—81no—
1456C2×C4—82no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—82no—
1460C2×C4—82no—
1461C2×C4—82no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—161no—
1467C2×C4—161no—
1468C2×C4—161no—
1469C2×C4—161no—
1470C2×C4D4211yescharacteristic
1471C2×C4D4211yescharacteristic
1472C2×C4D4211yescharacteristic
1473C2×C4C23×D411yescharacteristic
1474C2×C4C23×D411yescharacteristic
1475C2×C4C2×H(5,𝔽2)11yescharacteristic
1476C8—21no—
1477C8—21no—
1478C8—21no—
1479C8—21no—
1480C8—21no—
1481C8—21no—
1482C8—21no—
1483C8—21no—
1484C8—41no—
1485C8—41no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C22—21no—
1495C22—22no—
1496C22—21no—
1497C22—22no—
1498C22—21no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—84no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—164no—
1520C22—162no—
1521C22C2×D4211yescharacteristic
1522C4—21no—
1523C4—21no—
1524C4—21no—
1525C4—21no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—81no—
1537C4—81no—
1538C4—81no—
1539C4—81no—
1540C4—81no—
1541C4—81no—
1542C4—81no—
1543C4C2×#57511yescharacteristic
1544C4C2×#57711yescharacteristic
1545C4#358511yescharacteristic
1546C4#358511yescharacteristic
1547C2—41no—
1548C2—42no—
1549C2—42no—
1550C2—81no—
1551C2—81no—
1552C2—81no—
1553C2—81no—
1554C2—161no—
1555C2#6106611yescharacteristic
1556C2#6107111yescharacteristic
1557C2#6110811yescharacteristic
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. #62137C2semidirect
2. #61595C2semidirect
3. #61541C2semidirect
4. #61161C2semidirect
5. #20290C2semidirect
6. #20257C2semidirect
7. #20198C2semidirect
8. #20179C2semidirect
9. #20178C2semidirect
10. #20069C2semidirect
11. #20056C2semidirect
12. #20043C2semidirect
13. #20025C2semidirect
14. #19988C2semidirect
15. #19902C2semidirect
16. #19894C2semidirect
17. #19824C2semidirect
18. #19772C2semidirect
19. #19772C2semidirect
20. #19766C2semidirect
21. #19716C2semidirect
22. #19485C2semidirect
23. #19467C2semidirect
24. #19383C2semidirect
25. #19307C2semidirect
26. #18845C2semidirect
27. #18822C2semidirect
28. #18806C2semidirect
29. #18757C2semidirect
30. #18050C2semidirect
31. #18008C2semidirect
32. #3520C22semidirect
36. #3398C22semidirect
37. #3386C22semidirect
38. #3384C22semidirect
39. #3384C22semidirect
40. #3368C22semidirect
41. #3366C22semidirect
42. #3360C22semidirect
43. #3359C22semidirect
47. #3335C22semidirect
48. #3335C22semidirect
49. #3334C22semidirect
53. #3331C22semidirect
57. #3330C22semidirect
58. #3330C22semidirect
69. #3302C22semidirect
72. #3295C22semidirect
75. #3294C22semidirect
77. #3283C22semidirect
78. #3283C22semidirect
80. #3276C22semidirect
87. #3229C22semidirect
90. #3218C22semidirect
91. #3209C22semidirect
94. #3185C22semidirect
103. #3101C22semidirect
114. #2974C22semidirect
115. #2969C22semidirect
120. #1723C22semidirect
121. #1720C22semidirect
122. #1720C22semidirect
123. #1720C22semidirect
124. #1718C22semidirect
125. #1716C22semidirect
126. #1711C22semidirect
127. #1707C22semidirect
128. #1703C22semidirect
129. #1702C22semidirect
130. #1701C22semidirect
131. #1701C22semidirect
132. #1700C22semidirect
133. #1700C22semidirect
134. #1700C22semidirect
135. #1699C22semidirect
136. #1699C22semidirect
137. #1697C22semidirect
138. #1693C22semidirect
139. #1691C22semidirect
140. #1691C22semidirect
141. #1690C22semidirect
142. #1690C22semidirect
143. #1689C22semidirect
144. #1683C22semidirect
145. #1682C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1680C22semidirect
149. #1679C22semidirect
150. #1679C22semidirect
151. #1679C22semidirect
152. #1679C22semidirect
153. #1677C22semidirect
154. #1673C22semidirect
155. #1671C22semidirect
156. #1671C22semidirect
157. #1669C22semidirect
158. #1669C22semidirect
159. #1669C22semidirect
162. #1654C22semidirect
163. #1654C22semidirect
164. #1654C22semidirect
165. #1654C22semidirect
166. #1654C22semidirect
167. #1654C22semidirect
168. #1653C22semidirect
169. #1653C22semidirect
170. #1651C22semidirect
171. #1651C22semidirect
172. #1650C22semidirect
173. #1649C22semidirect
174. #1647C22semidirect
175. #1647C22semidirect
176. #1644C22semidirect
177. #1644C22semidirect
178. #1643C22semidirect
179. #1643C22semidirect
180. #1642C22semidirect
181. #1641C22semidirect
182. #1639C22semidirect
183. #1639C22semidirect
186. #1635C22semidirect
187. #1635C22semidirect
188. #1628C22semidirect
189. #1627C22semidirect
190. #1625C22semidirect
191. #1625C22semidirect
192. #1592C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1589C22semidirect
196. #1586C22semidirect
197. #1586C22semidirect
198. #1585C22semidirect
199. #1585C22semidirect
200. #1583C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. #1580C22semidirect
206. C8×SD16C22semidirect
207. C8×D8C22semidirect
208. #1574C22semidirect
209. #1569C22semidirect
210. #1561C22semidirect
211. #1559C22semidirect
213. #1546C22semidirect
214. #1495C22semidirect
216. #1486C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621372
#615952
#615412
#611612
#202902
#202572
#201982
#201792
#201782
#200692
#200562
#200432
#200252
#199882
#199022
#198942
#198242
#197722
#197662
#197162
#194852
#194672
#193832
#193072
#188452
#188222
#188062
#187572
#180502
#180082