Finite Group Databasebeta

← #6365563

Subgroups — #6365563

Order 512.

1610 conjugacy classes of subgroups.

The subgroup lattice has 1547 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62187C211yesmaximal, characteristic, complemented
2#62110C211yesmaximal, characteristic, complemented
3#61816C211yesmaximal, characteristic, complemented
4#61590C211yesmaximal, characteristic, complemented
5#20305C211yesmaximal, characteristic, complemented
6#20305C211yesmaximal, characteristic, complemented
7#20286C211yesmaximal, characteristic, complemented
8#20286C211yesmaximal, characteristic, complemented
9#20247C211yesmaximal, characteristic, complemented
10#20245C211yesmaximal, characteristic, complemented
11#20243C211yesmaximal, characteristic, complemented
12#20239C211yesmaximal, characteristic, complemented
13#20211C211yesmaximal, characteristic, complemented
14#20210C211yesmaximal, characteristic, complemented
15#20166C211yesmaximal, characteristic, complemented
16#20164C211yesmaximal, characteristic, complemented
17#20131C211yesmaximal, characteristic, complemented
18#20114C211yesmaximal, characteristic, complemented
19#20032C211yesmaximal, characteristic, complemented
20#20026C211yesmaximal, characteristic, complemented
21#19725C211yesmaximal, characteristic, complemented
22#19544C211yesmaximal, characteristic, complemented
23#19509C211yesmaximal, characteristic, complemented
24#19455C211yesmaximal, characteristic, complemented
25#19429C211yesmaximal, characteristic, complemented
26#18740C211yesmaximal, characteristic, complemented
27#18569C211yesmaximal, characteristic, complemented
28#18563C211yesmaximal, characteristic, complemented
29#18555C211yesmaximal, characteristic, complemented
30#17955C211yesmaximal, characteristic, complemented
31#17950C211yesmaximal, characteristic, complemented
32#3547C2211yescharacteristic, complemented
33#3519C2211yescharacteristic
34#3511C2211yescharacteristic, complemented
35D4×#41C2211yescharacteristic
36#3384C2211yescharacteristic, complemented
37#3384C2211yescharacteristic, complemented
38#3384C2211yescharacteristic, complemented
39#3380C2211yescharacteristic, complemented
40#3366C2211yescharacteristic
41#3366C2211yescharacteristic
42#3366C2211yescharacteristic
43#3358C2211yescharacteristic
44#3357C2211yescharacteristic, complemented
45#3357C2211yescharacteristic, complemented
46#3355—21no—
47#3354C2211yescharacteristic
48#3354C2211yescharacteristic
49#3354C2211yescharacteristic
50#3349—21no—
51#3347—21no—
52#3345—21no—
53#3345—21no—
54#3343—21no—
55#3341C2211yescharacteristic
56#3341C2211yescharacteristic, complemented
57#3338C2211yescharacteristic, complemented
58#3333C2211yescharacteristic
59#3331C2211yescharacteristic
60#3331C2211yescharacteristic, complemented
61#3329C2211yescharacteristic
62#3329C2211yescharacteristic, complemented
63#3326—21no—
64#3325—21no—
65#3325C2211yescharacteristic
66#3325C2211yescharacteristic, complemented
67#3325C2211yescharacteristic, complemented
68#3325C2211yescharacteristic, complemented
69#3322—21no—
70#3318—21no—
71#3318—21no—
72#3318—21no—
73#3313—21no—
74#3308—21no—
75#3303C2211yescharacteristic, complemented
76#3299C2211yescharacteristic, complemented
77#3294C2211yescharacteristic, complemented
78#3278C2211yescharacteristic
79#3275—21no—
80#3274C2211yescharacteristic
81#3274C2211yescharacteristic
82#3273—21no—
83#3272C2211yescharacteristic
84#3259—21no—
85#3253—21no—
86#3253C2211yescharacteristic, complemented
87#3245C2211yescharacteristic, complemented
88#3241—21no—
89#3238C2211yescharacteristic, complemented
90#3235—21no—
91#3230C2211yescharacteristic, complemented
92#3228C2211yescharacteristic, complemented
93#3227C2211yescharacteristic, complemented
94#3212C2211yescharacteristic
95#3207C2211yescharacteristic
96#3203—21no—
97#3201—21no—
98#3197—21no—
99#3194—21no—
100#3182C2211yescharacteristic, complemented
101#3152C2211yescharacteristic, complemented
102#3122—21no—
103#3116C2211yescharacteristic, complemented
104#3109—21no—
105#3106C2211yescharacteristic
106#3102C2211yescharacteristic
107#3100C2211yescharacteristic
108#3098—21no—
109#3097—21no—
110#3081—21no—
111#3077—21no—
112#3077C2211yescharacteristic
113C2×#476C2211yescharacteristic
114#3006—21no—
115#3005—21no—
116#2993C2211yescharacteristic, complemented
117#2989C2211yescharacteristic, complemented
118#2981C2211yescharacteristic, complemented
119#2975C2211yescharacteristic
120#1723C2211yescharacteristic, complemented
121#1722C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1714C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1707C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1703C2211yescharacteristic, complemented
132#1703C2211yescharacteristic, complemented
133#1703C2211yescharacteristic, complemented
134#1702C2211yescharacteristic, complemented
135#1701C2211yescharacteristic, complemented
136#1698C2211yescharacteristic, complemented
137#1698C2211yescharacteristic, complemented
138#1697C2211yescharacteristic, complemented
139#1697C2211yescharacteristic, complemented
140#1696C2211yescharacteristic, complemented
141#1695C2211yescharacteristic, complemented
142#1695C2211yescharacteristic, complemented
143#1695C2211yescharacteristic, complemented
144#1695C2211yescharacteristic, complemented
145#1695C2211yescharacteristic, complemented
146#1692C2211yescharacteristic, complemented
147#1692C2211yescharacteristic, complemented
148#1691C2211yescharacteristic, complemented
149#1691C2211yescharacteristic, complemented
150#1687C2211yescharacteristic, complemented
151#1687C2211yescharacteristic, complemented
152#1678C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1677C2211yescharacteristic, complemented
155#1677C2211yescharacteristic, complemented
156#1672C2211yescharacteristic, complemented
157#1671C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1649C2211yescharacteristic, complemented
161#1649C2211yescharacteristic, complemented
162#1647C2211yescharacteristic
163#1647C2211yescharacteristic, complemented
164#1646C2211yescharacteristic, complemented
165#1644C2211yescharacteristic, complemented
166#1641C2211yescharacteristic
167#1639C2211yescharacteristic, complemented
168#1637C2211yescharacteristic, complemented
169#1635C2211yescharacteristic
170#1634C2211yescharacteristic
171#1634C2211yescharacteristic
172#1634C2211yescharacteristic, complemented
173#1634C2211yescharacteristic, complemented
174#1632C2211yescharacteristic, complemented
175#1632C2211yescharacteristic, complemented
176#1632C2211yescharacteristic, complemented
177#1632C2211yescharacteristic, complemented
178#1631C2211yescharacteristic
179#1631C2211yescharacteristic
180#1631C2211yescharacteristic
181#1629C2211yescharacteristic, complemented
182#1629C2211yescharacteristic, complemented
183#1629C2211yescharacteristic, complemented
184#1627C2211yescharacteristic, complemented
185#1625C2211yescharacteristic, complemented
186#1624C2211yescharacteristic, complemented
187#1624C2211yescharacteristic, complemented
188#1624C2211yescharacteristic, complemented
189#1622C2211yescharacteristic, complemented
190#1622C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1594C2211yescharacteristic, complemented
194#1594C2211yescharacteristic, complemented
195#1593C2211yescharacteristic, complemented
196#1590C2211yescharacteristic, complemented
197#1590C2211yescharacteristic, complemented
198#1589C2211yescharacteristic, complemented
199#1589C2211yescharacteristic, complemented
200#1587C2211yescharacteristic, complemented
201#1586C2211yescharacteristic, complemented
202#1586C2211yescharacteristic, complemented
203#1586C2211yescharacteristic, complemented
204#1583C2211yescharacteristic, complemented
205#1582C2211yescharacteristic, complemented
206#1581C2211yescharacteristic, complemented
207#1581C2211yescharacteristic, complemented
208#1572C2211yescharacteristic, complemented
209#1570C2211yescharacteristic, complemented
210#1557C2211yescharacteristic, complemented
211#1551C2211yescharacteristic, complemented
212#1548C2211yescharacteristic, complemented
213#1542C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1489C2211yescharacteristic, complemented
216#1484C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—21no—
221C2×#137—41no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)—21no—
225#562—41no—
226#556—21no—
227#555—21no—
228#555C2311yescharacteristic
229#555C2311yescharacteristic
230#555C2311yescharacteristic
231#555C2311yescharacteristic
232#554C2311yescharacteristic
233#554C2311yescharacteristic
234#554C2311yescharacteristic
235#554C2311yescharacteristic
236#553—21no—
237#553—21no—
238#553—21no—
239#553—21no—
240#553—21no—
241#552—21no—
242#550C2311yescharacteristic
243#550C2311yescharacteristic
244D4×Q8C2311yescharacteristic
245D4×Q8C2311yescharacteristic
246#548—21no—
247#548—21no—
248#548—41no—
249#547—21no—
250#547—21no—
251#547C2311yescharacteristic
252#547C2311yescharacteristic
253#546—21no—
254#546—21no—
255#546—41no—
256#546—41no—
257D42—21no—
258D42—21no—
259D42C2311yescharacteristic
260D42C2311yescharacteristic
261#544—21no—
262#542—41no—
263#542—41no—
264#540—21no—
265#540—21no—
266#538—41no—
267#537—21no—
268#537—21no—
269#536—21no—
270#533—21no—
271#533C2311yescharacteristic
272#532—21no—
273#532—21no—
274#532C2311yescharacteristic
275#532C2311yescharacteristic
276#532C2311yescharacteristic
277C2×C4⋊Q8C2311yescharacteristic
278#529C2311yescharacteristic
279#525—21no—
280#525—21no—
281#525—41no—
282C2×#121—21no—
283#520—21no—
284#518—21no—
285C4×#41C2311yescharacteristic
286C2×C4×D4—21no—
287C2×C4×D4C2311yescharacteristic
288#501—21no—
289#501—21no—
290#501—21no—
291#501—21no—
292#500C2311yescharacteristic
293#500C2311yescharacteristic
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#499—21no—
297#498C2311yescharacteristic
298#498C2311yescharacteristic
299#498C2311yescharacteristic
300#497—41no—
301#495—21no—
302#494C2311yescharacteristic
303#494C2311yescharacteristic
304#493C2311yescharacteristic
305#492C2311yescharacteristic
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#490—21no—
310#490—21no—
311#490—21no—
312#489—21no—
313#488—21no—
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#486—21no—
319#486C2311yescharacteristic
320#486C2311yescharacteristic
321#486C2311yescharacteristic
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#485—21no—
326#485—21no—
327#485—21no—
328#485—21no—
329#485—21no—
330#485—21no—
331#485D411yescharacteristic
332#484—21no—
333#484—21no—
334#484—21no—
335#484—21no—
336#484—21no—
337#483—21no—
338#483—21no—
339#483—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
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#481—21no—
358#481—21no—
359#481—21no—
360#480—21no—
361#480—21no—
362#480—21no—
363#480—21no—
364#480—21no—
365#480D411yescharacteristic
366#480D411yescharacteristic
367#479D411yescharacteristic
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#478—21no—
380#478D411yescharacteristic
381#477—21no—
382#477—21no—
383#477C2311yescharacteristic
384#477C2311yescharacteristic
385#477C2311yescharacteristic
386#477C2311yescharacteristic
387#476—21no—
388#476—21no—
389#476—21no—
390#476—21no—
391#476—21no—
392#476—21no—
393#476—21no—
394#476—21no—
395#476C2311yescharacteristic
396#476C2311yescharacteristic
397#476C2311yescharacteristic
398#476C2311yescharacteristic
399#476C2311yescharacteristic
400#476C2311yescharacteristic
401#476C2311yescharacteristic
402#476C2311yescharacteristic
403#476C2311yescharacteristic
404#476C2311yescharacteristic
405#476C2311yescharacteristic
406#476C2311yescharacteristic
407#474—21no—
408#474—21no—
409#474D411yescharacteristic
410#474D411yescharacteristic
411#474C2311yescharacteristic
412#474C2311yescharacteristic
413#474C2311yescharacteristic
414#474C2311yescharacteristic
415#470—21no—
416#470—21no—
417#469—21no—
418#469—21no—
419#469—21no—
420#469—21no—
421#469—21no—
422#469—21no—
423#469—21no—
424#469—21no—
425#469—21no—
426#469—21no—
427#469—21no—
428#468—21no—
429#468—21no—
430#468—21no—
431#468—21no—
432#468—21no—
433#468—21no—
434#468—21no—
435#468—41no—
436#467—21no—
437#467—21no—
438#466—21no—
439#466—21no—
440#466—21no—
441#466—21no—
442#466—21no—
443#465—21no—
444#464D411yescharacteristic
445#463—21no—
446#463—21no—
447#463D411yescharacteristic
448#462C2311yescharacteristic
449#462C2311yescharacteristic
450#461C2311yescharacteristic
451#461C2311yescharacteristic
452#460C2311yescharacteristic
453#460C2311yescharacteristic
454#459—21no—
455#459—21no—
456#459—21no—
457#459—21no—
458#459—21no—
459#459—21no—
460#459D411yescharacteristic
461#459D411yescharacteristic
462#459C2311yescharacteristic
463#459C2311yescharacteristic
464#459C2311yescharacteristic
465#459C2311yescharacteristic
466#459C2311yescharacteristic
467#459C2311yescharacteristic
468#452—21no—
469#452—21no—
470#452—21no—
471#452—21no—
472#452—21no—
473#452—21no—
474#452D411yescharacteristic
475#451—21no—
476#450—21no—
477#449—21no—
478#449—21no—
479#449—21no—
480#449—21no—
481#449—21no—
482#449—21no—
483#449—21no—
484#449—21no—
485#449D411yescharacteristic
486#448—21no—
487#448—21no—
488#448—21no—
489#447—21no—
490#447—21no—
491#447—21no—
492#447—21no—
493#447—21no—
494#447—21no—
495#447—21no—
496#447D411yescharacteristic
497#447D411yescharacteristic
498#446C2311yescharacteristic
499#446C2311yescharacteristic
500#446C2311yescharacteristic
501C8×Q8C2311yescharacteristic
502#442—21no—
503#442—21no—
504#442—21no—
505#442—21no—
506#442—21no—
507#442—21no—
508#441—21no—
509#440—21no—
510#440—41no—
511C4×Q16C2311yescharacteristic
512C4×SD16—21no—
513C4×SD16C2311yescharacteristic
514C4×SD16C2311yescharacteristic
515C4×D8—21no—
516C4×D8—21no—
517C4×D8—21no—
518C4×D8C2311yescharacteristic
519C4×D8C2311yescharacteristic
520C4×D8C2311yescharacteristic
521C4×D8C2311yescharacteristic
522C4×D8C2311yescharacteristic
523#436—21no—
524#436—21no—
525#436—21no—
526#436C2311yescharacteristic
527#436C2311yescharacteristic
528#436C2311yescharacteristic
529#436C2311yescharacteristic
530#436C2311yescharacteristic
531#436C2311yescharacteristic
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#436C2311yescharacteristic
535#435—21no—
536#435—21no—
537#435—21no—
538#435—21no—
539#435—21no—
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic
542C8×D4C2311yescharacteristic
543#433—21no—
544#432—21no—
545#432C2311yescharacteristic
546#431C2311yescharacteristic
547#431C2311yescharacteristic
548#431C2311yescharacteristic
549#428—21no—
550#428—21no—
551#428—21no—
552#428—21no—
553#428—21no—
554#428—21no—
555#427—21no—
556#427—21no—
557C2×#107—21no—
558C2×#106—21no—
559#424—21no—
560#423—21no—
561#423C2311yescharacteristic
562C2×C4⋊C8C2311yescharacteristic
563#419—21no—
564#419—21no—
565#418—21no—
566#418—21no—
567#418—21no—
568#418—21no—
569#418—21no—
570#417—21no—
571#417—21no—
572#417—21no—
573#416—21no—
574C2×#103—21no—
575C2×#102—21no—
576C2×#102—21no—
577#408—21no—
578#408—21no—
579#407—21no—
580#407—21no—
581C4×M16C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#334C2311yescharacteristic
585#334C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
594#333C2311yescharacteristic
595#333C2311yescharacteristic
596#333C2311yescharacteristic
597#333C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
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—41no—
634C2×#41—41no—
635C2×#41—41no—
636C2×#41—82no—
637C2×#41—82no—
638C2×#41C2×D411yescharacteristic
639C22×Q8—21no—
640C22×Q8—21no—
641C22×Q8—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4C2×D411yescharacteristic
649C23×C4—21no—
650C23×C4—41no—
651#137—84no—
652#137—82no—
653AGL(1,ℤ/8)—82no—
654AGL(1,ℤ/8)—82no—
655AGL(1,ℤ/8)—82no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16—41no—
659C2×Q16—41no—
660C2×Q16C2×D411yescharacteristic
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16C2×D411yescharacteristic
671C2×SD16C2×D411yescharacteristic
672C2×D8—21no—
673C2×D8—21no—
674C2×D8—21no—
675C2×D8—21no—
676C2×D8—21no—
677C2×D8—21no—
678C2×D8—21no—
679C2×D8—21no—
680C2×D8C2×D411yescharacteristic
681C2×D8C2×D411yescharacteristic
682C2×D8C2×D411yescharacteristic
683C2×D8C2×D411yescharacteristic
684C2×D8C2×D411yescharacteristic
685C2×M16—21no—
686C2×M16—21no—
687C2×M16—21no—
688C2×M16—21no—
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—41no—
706C4⋊Q8C2×D411yescharacteristic
707C4⋊Q8C2411yescharacteristic
708C4⋊Q8C2411yescharacteristic
709C4⋊Q8C2411yescharacteristic
710C4⋊Q8C2411yescharacteristic
711C4⋊Q8C2411yescharacteristic
712C4⋊Q8C2411yescharacteristic
713#127—21no—
714#127—21no—
715#127C2×D411yescharacteristic
716#127C2411yescharacteristic
717#127C2411yescharacteristic
718#126—21no—
719#126—41no—
720#126—41no—
721#126—41no—
722#126—41no—
723#125—21no—
724#125—21no—
725#125—21no—
726#125—21no—
727#125—21no—
728#125—41no—
729#125C2×D411yescharacteristic
730#124—21no—
731#124—21no—
732#124—21no—
733#124—41no—
734#124—41no—
735#124—41no—
736#124—41no—
737#124—41no—
738#124—41no—
739#124—41no—
740#124—41no—
741#124C2×D411yescharacteristic
742#123—21no—
743#123—41no—
744#123—41no—
745#123—41no—
746#123—41no—
747#123—41no—
748#123—41no—
749#123—41no—
750#123—41no—
751#123—41no—
752#123—41no—
753#123—41no—
754#123—41no—
755C22⋊Q8—21no—
756C22⋊Q8—21no—
757C22⋊Q8—21no—
758C22⋊Q8—21no—
759C22⋊Q8—21no—
760C22⋊Q8—21no—
761C22⋊Q8—21no—
762C22⋊Q8—21no—
763C22⋊Q8—21no—
764C22⋊Q8—21no—
765C22⋊Q8—41no—
766C22⋊Q8—41no—
767C22⋊Q8—41no—
768C22⋊Q8—41no—
769C22⋊Q8—41no—
770C22⋊Q8—41no—
771C22⋊Q8—41no—
772C22⋊Q8—41no—
773C22⋊Q8—41no—
774C22⋊Q8—41no—
775C22⋊Q8—41no—
776C22⋊Q8C2×D411yescharacteristic
777#121—21no—
778#121—21no—
779#121—21no—
780#121—21no—
781#121—21no—
782#121—21no—
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—21no—
796#121—21no—
797#121—21no—
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#121—41no—
809#121—41no—
810#121—41no—
811#121—41no—
812#121—41no—
813#121C2×D411yescharacteristic
814#121C2×D411yescharacteristic
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—41no—
825C4×Q8—41no—
826C4×Q8C2×D411yescharacteristic
827C4×Q8C2411yescharacteristic
828C4×Q8C2411yescharacteristic
829C4×D4—21no—
830C4×D4—21no—
831C4×D4—21no—
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—41no—
848C4×D4—41no—
849C4×D4—41no—
850C4×D4—41no—
851C4×D4—41no—
852C4×D4—41no—
853C4×D4—41no—
854C4×D4—41no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4C2×D411yescharacteristic
858C4×D4C2×D411yescharacteristic
859C4×D4C2×D411yescharacteristic
860C4×D4C2411yescharacteristic
861C4×D4C2411yescharacteristic
862C4×D4C2411yescharacteristic
863C4×D4C2411yescharacteristic
864C4×D4C2411yescharacteristic
865C4×D4C2411yescharacteristic
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—21no—
877#117—41no—
878#117C2×D411yescharacteristic
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—21no—
887C2×C4⋊C4C2×D411yescharacteristic
888C2×C22⋊C4—21no—
889C2×C22⋊C4—41no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C42—21no—
893C2×C42C2411yescharacteristic
894#107—21no—
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—41no—
909#107C2×D411yescharacteristic
910#107C2×D411yescharacteristic
911#107C2×D411yescharacteristic
912#107C2×D411yescharacteristic
913#107C2×D411yescharacteristic
914#107C2×D411yescharacteristic
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#106—21no—
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—21no—
931#106—21no—
932#106—21no—
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⋊C8C2×D411yescharacteristic
942C4⋊C8C2×D411yescharacteristic
943C4⋊C8C2×D411yescharacteristic
944C4⋊C8C2×D411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
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—41no—
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—41no—
1007#102C2×D411yescharacteristic
1008#102C2×D411yescharacteristic
1009#102C2×D411yescharacteristic
1010#102C2×D411yescharacteristic
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019C22⋊C8—21no—
1020C22⋊C8—21no—
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⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8C2×D411yescharacteristic
1034C22⋊C8C2×D411yescharacteristic
1035C22⋊C8C2×D411yescharacteristic
1036C22⋊C8C2×D411yescharacteristic
1037#97—21no—
1038#97—21no—
1039#97—21no—
1040#97—21no—
1041#97—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C24—21no—
1051C24—41no—
1052C24—41no—
1053#41—41no—
1054#41—41no—
1055#41—42no—
1056#41—42no—
1057#41—81no—
1058#41—81no—
1059#41—81no—
1060#41—81no—
1061#41—81no—
1062#41—81no—
1063#41—84no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—82no—
1069#41—84no—
1070#41—162no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—41no—
1079C2×Q8—41no—
1080C2×Q8—41no—
1081C2×Q8—42no—
1082C2×Q8—81no—
1083C2×Q8—81no—
1084C2×Q8—81no—
1085C2×Q8—82no—
1086C2×Q8C22×D411yescharacteristic
1087C2×Q8C22×D411yescharacteristic
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—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—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—84no—
1128C2×D4—162no—
1129C2×D4C22×D411yescharacteristic
1130C2×D4C22×D411yescharacteristic
1131C2×D4C22×D411yescharacteristic
1132C2×D4C22×D411yescharacteristic
1133C2×D4C22×D411yescharacteristic
1134C2×D4C22×D411yescharacteristic
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
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—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—81no—
1160C22×C4—81no—
1161C22×C4—84no—
1162C22×C4C22×D411yescharacteristic
1163C22×C4C22×D411yescharacteristic
1164C22×C4H(5,𝔽2)11yescharacteristic
1165Q16—41no—
1166Q16—82no—
1167Q16—81no—
1168Q16—81no—
1169Q16—82no—
1170SD16—41no—
1171SD16—41no—
1172SD16—42no—
1173SD16—81no—
1174SD16—81no—
1175SD16—82no—
1176SD16—82no—
1177SD16—81no—
1178SD16—81no—
1179SD16—81no—
1180SD16—82no—
1181D8—41no—
1182D8—41no—
1183D8—41no—
1184D8—41no—
1185D8—41no—
1186D8—42no—
1187D8—81no—
1188D8—81no—
1189D8—81no—
1190D8—81no—
1191D8—81no—
1192D8—81no—
1193D8—81no—
1194M16—42no—
1195M16—81no—
1196M16—81no—
1197M16—81no—
1198M16—81no—
1199M16—81no—
1200M16—81no—
1201M16—81no—
1202M16—81no—
1203M16—81no—
1204M16—81no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—81no—
1216C2×C8—81no—
1217C2×C8—81no—
1218C2×C8—81no—
1219C2×C8C22×D411yescharacteristic
1220C2×C8C22×D411yescharacteristic
1221C2×C8C22×D411yescharacteristic
1222C2×C8C22×D411yescharacteristic
1223C2×C8C22×D411yescharacteristic
1224C2×C8C22×D411yescharacteristic
1225C2×C8C22×D411yescharacteristic
1226C2×C8C22×D411yescharacteristic
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—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
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⋊C4C22×D411yescharacteristic
1264C4⋊C4C22×D411yescharacteristic
1265C4⋊C4C22×D411yescharacteristic
1266C4⋊C4C22×D411yescharacteristic
1267C4⋊C4C22×D411yescharacteristic
1268C4⋊C4C22×D411yescharacteristic
1269C4⋊C4C22×D411yescharacteristic
1270C4⋊C4C22×D411yescharacteristic
1271C22⋊C4—21no—
1272C22⋊C4—21no—
1273C22⋊C4—21no—
1274C22⋊C4—21no—
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—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—
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—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C42—21no—
1313C42—21no—
1314C42—21no—
1315C42—21no—
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—21no—
1330C23—21no—
1331C23—41no—
1332C23—41no—
1333C23—81no—
1334C23—81no—
1335C23—81no—
1336C23—82no—
1337C23—82no—
1338C23—82no—
1339C23—161no—
1340C23—161no—
1341C23—161no—
1342C23D4211yescharacteristic
1343Q8—21no—
1344Q8—21no—
1345Q8—21no—
1346Q8—21no—
1347Q8—41no—
1348Q8—41no—
1349Q8—41no—
1350Q8—41no—
1351Q8—81no—
1352Q8—81no—
1353Q8—81no—
1354Q8—81no—
1355Q8—81no—
1356Q8—82no—
1357Q8—82no—
1358Q8—161no—
1359D4—21no—
1360D4—21no—
1361D4—21no—
1362D4—21no—
1363D4—21no—
1364D4—21no—
1365D4—21no—
1366D4—21no—
1367D4—21no—
1368D4—21no—
1369D4—21no—
1370D4—21no—
1371D4—42no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—81no—
1381D4—81no—
1382D4—81no—
1383D4—81no—
1384D4—81no—
1385D4—81no—
1386D4—81no—
1387D4—81no—
1388D4—82no—
1389D4—82no—
1390D4—82no—
1391D4—82no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—161no—
1396D4—161no—
1397D4—161no—
1398D4—161no—
1399D4—161no—
1400D4—161no—
1401D4—161no—
1402D4—161no—
1403D4—161no—
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—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—41no—
1419C2×C4—42no—
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—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—81no—
1439C2×C4—81no—
1440C2×C4—81no—
1441C2×C4—82no—
1442C2×C4—81no—
1443C2×C4—82no—
1444C2×C4—82no—
1445C2×C4—82no—
1446C2×C4—161no—
1447C2×C4—161no—
1448C2×C4—161no—
1449C2×C4—161no—
1450C2×C4—161no—
1451C2×C4—161no—
1452C2×C4—161no—
1453C2×C4—161no—
1454C2×C4—161no—
1455C2×C4D4211yescharacteristic
1456C2×C4D4211yescharacteristic
1457C2×C4D4211yescharacteristic
1458C2×C4C23×D411yescharacteristic
1459C2×C4C23×D411yescharacteristic
1460C2×C4C2×H(5,𝔽2)11yescharacteristic
1461C8—22no—
1462C8—21no—
1463C8—21no—
1464C8—21no—
1465C8—21no—
1466C8—21no—
1467C8—21no—
1468C8—21no—
1469C8—21no—
1470C8—41no—
1471C8—41no—
1472C8—41no—
1473C8—41no—
1474C8—41no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C22—21no—
1480C22—21no—
1481C22—21no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—162no—
1507C22—164no—
1508C22—322no—
1509C22C2×D4211yescharacteristic
1510C4—21no—
1511C4—21no—
1512C4—21no—
1513C4—21no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—81no—
1525C4—81no—
1526C4—81no—
1527C4—81no—
1528C4—81no—
1529C4—81no—
1530C4#358511yescharacteristic
1531C4#358511yescharacteristic
1532C4#358611yescharacteristic
1533C4#358611yescharacteristic
1534C2—41no—
1535C2—81no—
1536C2—81no—
1537C2—81no—
1538C2—81no—
1539C2—81no—
1540C2—81no—
1541C2—161no—
1542C2—161no—
1543C2#6105811yescharacteristic
1544C2#6106411yescharacteristic
1545C2#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. #62187C2semidirect
2. #62110C2semidirect
3. #61816C2semidirect
4. #61590C2semidirect
5. #20305C2semidirect
6. #20305C2semidirect
7. #20286C2semidirect
8. #20286C2semidirect
9. #20247C2semidirect
10. #20245C2semidirect
11. #20243C2semidirect
12. #20239C2semidirect
13. #20211C2semidirect
14. #20210C2semidirect
15. #20166C2semidirect
16. #20164C2semidirect
17. #20131C2semidirect
18. #20114C2semidirect
19. #20032C2semidirect
20. #20026C2semidirect
21. #19725C2semidirect
22. #19544C2semidirect
23. #19509C2semidirect
24. #19455C2semidirect
25. #19429C2semidirect
26. #18740C2semidirect
27. #18569C2semidirect
28. #18563C2semidirect
29. #18555C2semidirect
30. #17955C2semidirect
31. #17950C2semidirect
32. #3547C22semidirect
34. #3511C22semidirect
36. #3384C22semidirect
37. #3384C22semidirect
38. #3384C22semidirect
39. #3380C22semidirect
44. #3357C22semidirect
45. #3357C22semidirect
56. #3341C22semidirect
57. #3338C22semidirect
60. #3331C22semidirect
62. #3329C22semidirect
66. #3325C22semidirect
67. #3325C22semidirect
68. #3325C22semidirect
75. #3303C22semidirect
76. #3299C22semidirect
77. #3294C22semidirect
86. #3253C22semidirect
87. #3245C22semidirect
89. #3238C22semidirect
91. #3230C22semidirect
92. #3228C22semidirect
93. #3227C22semidirect
100. #3182C22semidirect
101. #3152C22semidirect
103. #3116C22semidirect
116. #2993C22semidirect
117. #2989C22semidirect
118. #2981C22semidirect
120. #1723C22semidirect
121. #1722C22semidirect
122. #1720C22semidirect
123. #1717C22semidirect
124. #1714C22semidirect
125. #1714C22semidirect
126. #1707C22semidirect
127. #1706C22semidirect
128. #1703C22semidirect
129. #1703C22semidirect
130. #1703C22semidirect
131. #1703C22semidirect
132. #1703C22semidirect
133. #1703C22semidirect
134. #1702C22semidirect
135. #1701C22semidirect
136. #1698C22semidirect
137. #1698C22semidirect
138. #1697C22semidirect
139. #1697C22semidirect
140. #1696C22semidirect
141. #1695C22semidirect
142. #1695C22semidirect
143. #1695C22semidirect
144. #1695C22semidirect
145. #1695C22semidirect
146. #1692C22semidirect
147. #1692C22semidirect
148. #1691C22semidirect
149. #1691C22semidirect
150. #1687C22semidirect
151. #1687C22semidirect
152. #1678C22semidirect
153. #1677C22semidirect
154. #1677C22semidirect
155. #1677C22semidirect
156. #1672C22semidirect
157. #1671C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1649C22semidirect
161. #1649C22semidirect
163. #1647C22semidirect
164. #1646C22semidirect
165. #1644C22semidirect
167. #1639C22semidirect
168. #1637C22semidirect
172. #1634C22semidirect
173. #1634C22semidirect
174. #1632C22semidirect
175. #1632C22semidirect
176. #1632C22semidirect
177. #1632C22semidirect
181. #1629C22semidirect
182. #1629C22semidirect
183. #1629C22semidirect
184. #1627C22semidirect
185. #1625C22semidirect
186. #1624C22semidirect
187. #1624C22semidirect
188. #1624C22semidirect
189. #1622C22semidirect
190. #1622C22semidirect
191. #1622C22semidirect
192. #1594C22semidirect
193. #1594C22semidirect
194. #1594C22semidirect
195. #1593C22semidirect
196. #1590C22semidirect
197. #1590C22semidirect
198. #1589C22semidirect
199. #1589C22semidirect
200. #1587C22semidirect
201. #1586C22semidirect
202. #1586C22semidirect
203. #1586C22semidirect
204. #1583C22semidirect
205. #1582C22semidirect
206. #1581C22semidirect
207. #1581C22semidirect
208. #1572C22semidirect
209. #1570C22semidirect
210. #1557C22semidirect
211. #1551C22semidirect
212. #1548C22semidirect
213. #1542C22semidirect
215. #1489C22semidirect
216. #1484C22semidirect
217. #1483C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621872
#621102
#618162
#615902
#203052
#202862
#202472
#202452
#202432
#202392
#202112
#202102
#201662
#201642
#201312
#201142
#200322
#200262
#197252
#195442
#195092
#194552
#194292
#187402
#185692
#185632
#185552
#179552
#179502