Finite Group Databasebeta

← #6356469

Subgroups — #6356469

Order 512.

1677 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62423C211yesmaximal, characteristic, complemented
2#60990C211yesmaximal, characteristic, complemented
3#60832C211yesmaximal, characteristic, complemented
4#60326C211yesmaximal, characteristic, complemented
5#19582C211yesmaximal, characteristic, complemented
6#19578C211yesmaximal, characteristic, complemented
7#19557C211yesmaximal, characteristic, complemented
8#19554C211yesmaximal, characteristic, complemented
9#19538C211yesmaximal, characteristic, complemented
10#19537C211yesmaximal, characteristic, complemented
11#19506C211yesmaximal, characteristic, complemented
12#19504C211yesmaximal, characteristic, complemented
13#19484C211yesmaximal, characteristic, complemented
14#19480C211yesmaximal, characteristic, complemented
15#19461C211yesmaximal, characteristic, complemented
16#19458C211yesmaximal, characteristic, complemented
17#19376C211yesmaximal, characteristic, complemented
18#19370C211yesmaximal, characteristic, complemented
19#19353C211yesmaximal, characteristic, complemented
20#19334C211yesmaximal, characteristic, complemented
21#19320C211yesmaximal, characteristic, complemented
22#19306C211yesmaximal, characteristic, complemented
23#19250C211yesmaximal, characteristic, complemented
24#19230C211yesmaximal, characteristic, complemented
25#19218C211yesmaximal, characteristic, complemented
26#19187C211yesmaximal, characteristic, complemented
27#19184C211yesmaximal, characteristic, complemented
28#19162C211yesmaximal, characteristic, complemented
29#17831C211yesmaximal, characteristic, complemented
30#17766C211yesmaximal, characteristic, complemented
31#17758C211yesmaximal, characteristic, complemented
32#3508C2211yescharacteristic
33#3498C2211yescharacteristic
34#3460C2211yescharacteristic
35#3399—21no—
36#3399—21no—
37#3274—21no—
38#3274—21no—
39#3264—21no—
40#3264—21no—
41#3264—21no—
42#3264—21no—
43#3253C2211yescharacteristic, complemented
44#3251C2211yescharacteristic, complemented
45#3247C2211yescharacteristic, complemented
46#3245C2211yescharacteristic, complemented
47#3241—21no—
48#3235C2211yescharacteristic, complemented
49#3233C2211yescharacteristic, complemented
50#3224—21no—
51#3224—21no—
52#3220—21no—
53#3220—21no—
54#3220—21no—
55#3217C2211yescharacteristic
56#3217C2211yescharacteristic, complemented
57#3217C2211yescharacteristic, complemented
58#3214C2211yescharacteristic
59#3214C2211yescharacteristic, complemented
60#3212C2211yescharacteristic
61#3212C2211yescharacteristic, complemented
62#3208C2211yescharacteristic, complemented
63#3207C2211yescharacteristic
64#3207C2211yescharacteristic, complemented
65#3205C2211yescharacteristic
66#3205C2211yescharacteristic
67#3205C2211yescharacteristic, complemented
68#3205C2211yescharacteristic, complemented
69#3205C2211yescharacteristic, complemented
70#3205C2211yescharacteristic, complemented
71#3199—21no—
72#3198—21no—
73#3184C2211yescharacteristic
74#3184C2211yescharacteristic, complemented
75#3179—21no—
76#3176—21no—
77#3167C2211yescharacteristic, complemented
78#3155—21no—
79#3151C2211yescharacteristic
80#3151C2211yescharacteristic, complemented
81C2×#493C2211yescharacteristic, complemented
82#3136—21no—
83#3122—21no—
84#3118—21no—
85#3115C2211yescharacteristic, complemented
86#3109C2211yescharacteristic, complemented
87#3106C2211yescharacteristic, complemented
88#3100C2211yescharacteristic, complemented
89#3038C2211yescharacteristic, complemented
90#3036C2211yescharacteristic, complemented
91#3035C2211yescharacteristic, complemented
92C2×#459C2211yescharacteristic, complemented
93#3012—21no—
94#3008—21no—
95#2994C2211yescharacteristic, complemented
96#2993C2211yescharacteristic, complemented
97#2992—21no—
98#2990C2211yescharacteristic, complemented
99#2989C2211yescharacteristic
100#2981C2211yescharacteristic, complemented
101#2980—21no—
102#2979C2211yescharacteristic, complemented
103#2978—21no—
104#2976—21no—
105#2974C2211yescharacteristic, complemented
106#2971C2211yescharacteristic, complemented
107#2969C2211yescharacteristic, complemented
108#2967—21no—
109#2966C2211yescharacteristic, complemented
110#2965C2211yescharacteristic
111#2935—21no—
112#2935C2211yescharacteristic, complemented
113D4×M16C2211yescharacteristic, complemented
114#2933—21no—
115#2931C2211yescharacteristic, complemented
116#2930—21no—
117#2925C2211yescharacteristic
118#2925C2211yescharacteristic
119#1702C2211yescharacteristic, complemented
120#1701C2211yescharacteristic, complemented
121#1701C2211yescharacteristic, complemented
122#1701C2211yescharacteristic, complemented
123#1700C2211yescharacteristic, complemented
124#1699C2211yescharacteristic, complemented
125#1698C2211yescharacteristic, complemented
126#1698C2211yescharacteristic, complemented
127#1697C2211yescharacteristic, complemented
128#1697C2211yescharacteristic, complemented
129#1697C2211yescharacteristic, complemented
130#1697C2211yescharacteristic, complemented
131#1691C2211yescharacteristic, complemented
132#1691C2211yescharacteristic, complemented
133#1688C2211yescharacteristic, complemented
134#1688C2211yescharacteristic, complemented
135#1688C2211yescharacteristic, complemented
136#1687C2211yescharacteristic, complemented
137#1687C2211yescharacteristic, complemented
138#1687C2211yescharacteristic, complemented
139#1687C2211yescharacteristic, complemented
140#1687C2211yescharacteristic, complemented
141#1687C2211yescharacteristic, complemented
142#1687C2211yescharacteristic, complemented
143#1687C2211yescharacteristic, complemented
144#1687C2211yescharacteristic, complemented
145#1686C2211yescharacteristic, complemented
146#1685C2211yescharacteristic, complemented
147#1685C2211yescharacteristic, complemented
148#1685C2211yescharacteristic, complemented
149#1685C2211yescharacteristic, complemented
150#1685C2211yescharacteristic, complemented
151#1682C2211yescharacteristic, complemented
152#1681C2211yescharacteristic, complemented
153#1681C2211yescharacteristic, complemented
154#1681C2211yescharacteristic, complemented
155#1679C2211yescharacteristic, complemented
156#1679C2211yescharacteristic, complemented
157#1678C2211yescharacteristic, complemented
158#1677C2211yescharacteristic, complemented
159#1677C2211yescharacteristic, complemented
160#1677C2211yescharacteristic, complemented
161#1677C2211yescharacteristic, complemented
162#1677C2211yescharacteristic, complemented
163#1672C2211yescharacteristic, complemented
164#1671C2211yescharacteristic, complemented
165#1668C2211yescharacteristic, complemented
166#1668C2211yescharacteristic, complemented
167#1668C2211yescharacteristic, complemented
168#1667C2211yescharacteristic, complemented
169#1667C2211yescharacteristic, complemented
170#1667C2211yescharacteristic, complemented
171#1667C2211yescharacteristic, complemented
172#1667C2211yescharacteristic, complemented
173#1667C2211yescharacteristic, complemented
174#1667C2211yescharacteristic, complemented
175#1667C2211yescharacteristic, complemented
176#1667C2211yescharacteristic, complemented
177#1666C2211yescharacteristic, complemented
178#1666C2211yescharacteristic, complemented
179#1665C2211yescharacteristic, complemented
180#1665C2211yescharacteristic, complemented
181#1665C2211yescharacteristic, complemented
182#1665C2211yescharacteristic, complemented
183#1574C2211yescharacteristic, complemented
184#1574C2211yescharacteristic, complemented
185#1573C2211yescharacteristic, complemented
186#1573C2211yescharacteristic, complemented
187#1572C2211yescharacteristic, complemented
188#1572C2211yescharacteristic, complemented
189#1569C2211yescharacteristic, complemented
190#1569C2211yescharacteristic, complemented
191#1568C2211yescharacteristic, complemented
192#1565C2211yescharacteristic, complemented
193#1565C2211yescharacteristic, complemented
194#1564C2211yescharacteristic, complemented
195#1560C2211yescharacteristic, complemented
196#1559C2211yescharacteristic, complemented
197#1557C2211yescharacteristic, complemented
198#1557C2211yescharacteristic, complemented
199#1557C2211yescharacteristic, complemented
200#1555C2211yescharacteristic, complemented
201#1555C2211yescharacteristic, complemented
202#1555C2211yescharacteristic, complemented
203#1554C2211yescharacteristic, complemented
204#1553C2211yescharacteristic, complemented
205#1553C2211yescharacteristic, complemented
206#1553C2211yescharacteristic, complemented
207#1551C2211yescharacteristic, complemented
208#1551C2211yescharacteristic, complemented
209#1547C2211yescharacteristic, complemented
210#1547C2211yescharacteristic, complemented
211#1545C2211yescharacteristic, complemented
212#1545C2211yescharacteristic, complemented
213#1545C2211yescharacteristic, complemented
214#1545C2211yescharacteristic, complemented
215#1543C2211yescharacteristic, complemented
216#1540C2211yescharacteristic, complemented
217#1540C2211yescharacteristic, complemented
218C2×#331C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×AGL(1,ℤ/8)—21no—
226C2×#135—21no—
227C22×D8—21no—
228C22×D8—21no—
229C22×D8—21no—
230C2×#131—21no—
231C2×#131—21no—
232C22×M16—21no—
233#559—21no—
234#559—21no—
235#550—21no—
236#550—21no—
237#550—21no—
238#550—21no—
239#546—21no—
240#546—21no—
241#546—21no—
242#546—21no—
243D42—21no—
244D42—21no—
245D42—21no—
246D42—21no—
247D42—21no—
248D42—21no—
249#544D411yescharacteristic
250#542—21no—
251#542D411yescharacteristic
252#542D411yescharacteristic
253#540—21no—
254#540—21no—
255#540—21no—
256#540D411yescharacteristic
257#540D411yescharacteristic
258#538—21no—
259#538—21no—
260#537D411yescharacteristic
261#535—21no—
262#535—21no—
263#535—21no—
264#535—21no—
265#535D411yescharacteristic
266#535D411yescharacteristic
267#533C2311yescharacteristic
268#532—21no—
269#532C2311yescharacteristic
270#532C2311yescharacteristic
271#532C2311yescharacteristic
272#532C2311yescharacteristic
273#532C2311yescharacteristic
274#532C2311yescharacteristic
275#532C2311yescharacteristic
276#532C2311yescharacteristic
277#532C2311yescharacteristic
278C2×#127C2311yescharacteristic
279C2×#127C2311yescharacteristic
280C2×#127C2311yescharacteristic
281C2×#127C2311yescharacteristic
282#529—21no—
283#529C2311yescharacteristic
284#529C2311yescharacteristic
285#525—21no—
286#525—21no—
287#518—21no—
288C4×#41C2311yescharacteristic
289C4×#41C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291#501—21no—
292#499—21no—
293#498C2311yescharacteristic
294#496—21no—
295#496—21no—
296#496—21no—
297#496—21no—
298#496—21no—
299#496—21no—
300#496—21no—
301#496—21no—
302#496—21no—
303#495—21no—
304#495—21no—
305#493—21no—
306#493—21no—
307#493—21no—
308#493—21no—
309#493—21no—
310#493C2311yescharacteristic
311#493C2311yescharacteristic
312#493C2311yescharacteristic
313#493C2311yescharacteristic
314#493C2311yescharacteristic
315#493C2311yescharacteristic
316#492C2311yescharacteristic
317#492C2311yescharacteristic
318#492C2311yescharacteristic
319#490—21no—
320#490—21no—
321#490—21no—
322#490—21no—
323#489—21no—
324#489—21no—
325#488—21no—
326#488—21no—
327#488—21no—
328#487C2311yescharacteristic
329#486—21no—
330#486—21no—
331#486—21no—
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#486C2311yescharacteristic
336#486C2311yescharacteristic
337#485—21no—
338#482—21no—
339#482—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#481—21no—
344#480—21no—
345#478—21no—
346#478—21no—
347#477C2311yescharacteristic
348#476—21no—
349#476C2311yescharacteristic
350#476C2311yescharacteristic
351#476C2311yescharacteristic
352#475C2311yescharacteristic
353#474—21no—
354#474C2311yescharacteristic
355#474C2311yescharacteristic
356#474C2311yescharacteristic
357#469—21no—
358#469—21no—
359#469—21no—
360#469—21no—
361#469—21no—
362#469—21no—
363#469—21no—
364#468—21no—
365#466—21no—
366#466—21no—
367#466—21no—
368#465—21no—
369#465—21no—
370#465—21no—
371#464—21no—
372#463—21no—
373#463—21no—
374#463—21no—
375#463—21no—
376#463—21no—
377#463—21no—
378#463—21no—
379#463—21no—
380#463—21no—
381#462C2311yescharacteristic
382#461C2311yescharacteristic
383#461C2311yescharacteristic
384#461C2311yescharacteristic
385#460—21no—
386#460—21no—
387#460—21no—
388#460C2311yescharacteristic
389#460C2311yescharacteristic
390#460C2311yescharacteristic
391#460C2311yescharacteristic
392#460C2311yescharacteristic
393#459—21no—
394#459—21no—
395#459—21no—
396#459—21no—
397#459—21no—
398#459—21no—
399#459—21no—
400#459—21no—
401#459—21no—
402#459—21no—
403#459—21no—
404#459C2311yescharacteristic
405#459C2311yescharacteristic
406#459C2311yescharacteristic
407#459C2311yescharacteristic
408#459C2311yescharacteristic
409#459C2311yescharacteristic
410#459C2311yescharacteristic
411#459C2311yescharacteristic
412#459C2311yescharacteristic
413#459C2311yescharacteristic
414#459C2311yescharacteristic
415#459C2311yescharacteristic
416#459C2311yescharacteristic
417#459C2311yescharacteristic
418#459C2311yescharacteristic
419#452—21no—
420#452—21no—
421#450—21no—
422#450—21no—
423#450—21no—
424#450—21no—
425#450—21no—
426#449—21no—
427#449—21no—
428#449—21no—
429#449—21no—
430#449—21no—
431#449—21no—
432#449—21no—
433#449—21no—
434#449—21no—
435#449—21no—
436#449—21no—
437#449—21no—
438#447—21no—
439#447—21no—
440#447—21no—
441#447—21no—
442#447—21no—
443#447—21no—
444#447—21no—
445#447—21no—
446#447—21no—
447#447—21no—
448#447—21no—
449#447—21no—
450#447—21no—
451#447—21no—
452#447—21no—
453#447—21no—
454#447—21no—
455#446—21no—
456#446D411yescharacteristic
457#446D411yescharacteristic
458#446C2311yescharacteristic
459#446C2311yescharacteristic
460C8×Q8C2311yescharacteristic
461C8×Q8C2311yescharacteristic
462#442—21no—
463#442—21no—
464#442—21no—
465#442—21no—
466#442—21no—
467#442—21no—
468#442—21no—
469#440—21no—
470C4×SD16—21no—
471C4×SD16—21no—
472C4×SD16—21no—
473C4×D8—21no—
474C4×D8—21no—
475C4×D8—21no—
476#436—21no—
477#436—21no—
478#436—21no—
479#436—21no—
480#436—21no—
481#436—21no—
482#436—21no—
483#436D411yescharacteristic
484#436D411yescharacteristic
485#436C2311yescharacteristic
486#436C2311yescharacteristic
487#436C2311yescharacteristic
488#436C2311yescharacteristic
489#436C2311yescharacteristic
490#436C2311yescharacteristic
491#435—21no—
492#435—21no—
493#435—21no—
494#435—21no—
495#435—21no—
496#435—21no—
497#435—21no—
498#435—21no—
499#435—21no—
500#435—21no—
501#435—21no—
502#435—21no—
503#435—21no—
504#435—21no—
505#435—21no—
506#435—21no—
507#435D411yescharacteristic
508#435D411yescharacteristic
509#435D411yescharacteristic
510#435D411yescharacteristic
511C8×D4—21no—
512C8×D4—21no—
513C8×D4—21no—
514C8×D4—21no—
515C8×D4C2311yescharacteristic
516C8×D4C2311yescharacteristic
517C8×D4C2311yescharacteristic
518C8×D4C2311yescharacteristic
519C8×D4C2311yescharacteristic
520C8×D4C2311yescharacteristic
521#433—21no—
522#433—21no—
523#433—21no—
524#433—21no—
525#433—21no—
526#433—21no—
527#433—21no—
528#433—21no—
529#432—21no—
530#432—21no—
531#432C2311yescharacteristic
532#432C2311yescharacteristic
533#432C2311yescharacteristic
534#432C2311yescharacteristic
535#432C2311yescharacteristic
536#432C2311yescharacteristic
537#431C2311yescharacteristic
538#431C2311yescharacteristic
539#431C2311yescharacteristic
540#431C2311yescharacteristic
541#431C2311yescharacteristic
542#431C2311yescharacteristic
543#431C2311yescharacteristic
544#431C2311yescharacteristic
545#424—21no—
546#424—21no—
547#423C2311yescharacteristic
548#423C2311yescharacteristic
549#423C2311yescharacteristic
550#423C2311yescharacteristic
551C2×C4⋊C8—21no—
552C2×C4⋊C8C2311yescharacteristic
553C2×C4⋊C8C2311yescharacteristic
554C2×C4⋊C8C2311yescharacteristic
555#418—21no—
556#417—21no—
557#416—21no—
558C2×#102—21no—
559#408—21no—
560#408—21no—
561#408—21no—
562#408—21no—
563#408—21no—
564#408—21no—
565#408—21no—
566#408—21no—
567#407—21no—
568#407—21no—
569C2×C22⋊C8—21no—
570#405—21no—
571#405—21no—
572#405—21no—
573#405—21no—
574C4×M16—21no—
575C4×M16C2311yescharacteristic
576C4×M16C2311yescharacteristic
577C2×C4×C8C2311yescharacteristic
578#335C2311yescharacteristic
579#335C2311yescharacteristic
580#335C2311yescharacteristic
581#335C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#334C2311yescharacteristic
591#334C2311yescharacteristic
592#334C2311yescharacteristic
593#334C2311yescharacteristic
594#333C2311yescharacteristic
595#333C2311yescharacteristic
596#333C2311yescharacteristic
597#333C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#332C2311yescharacteristic
603#332C2311yescharacteristic
604#332C2311yescharacteristic
605#332C2311yescharacteristic
606#331C2311yescharacteristic
607#331C2311yescharacteristic
608#331C2311yescharacteristic
609#331C2311yescharacteristic
610#331C2311yescharacteristic
611#331C2311yescharacteristic
612#331C2311yescharacteristic
613#331C2311yescharacteristic
614#331C2311yescharacteristic
615#331C2311yescharacteristic
616#331C2311yescharacteristic
617#331C2311yescharacteristic
618#331C2311yescharacteristic
619#331C2311yescharacteristic
620#331C2311yescharacteristic
621#331C2311yescharacteristic
622#331C2311yescharacteristic
623#331C2311yescharacteristic
624#331C2311yescharacteristic
625#331C2311yescharacteristic
626H(5,𝔽2)—82no—
627H(5,𝔽2)—82no—
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—21no—
637C2×#41—41no—
638C2×#41C2×D411yescharacteristic
639C2×#41C2×D411yescharacteristic
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—41no—
653C22×D4—41no—
654C22×D4—41no—
655C22×D4C2×D411yescharacteristic
656C23×C4—21no—
657AGL(1,ℤ/8)—82no—
658AGL(1,ℤ/8)—82no—
659AGL(1,ℤ/8)—82no—
660AGL(1,ℤ/8)—82no—
661AGL(1,ℤ/8)—82no—
662AGL(1,ℤ/8)—82no—
663#135—82no—
664C2×Q16—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—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×D8—21no—
680C2×D8—21no—
681C2×D8—21no—
682C2×D8—21no—
683C2×D8—21no—
684C2×D8—21no—
685C2×D8—21no—
686C2×D8—21no—
687C2×D8—21no—
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—21no—
695C2×D8—21no—
696C2×D8—21no—
697C2×D8—21no—
698C2×D8—21no—
699C2×D8—21no—
700C2×D8—21no—
701C2×D8—21no—
702C2×D8—21no—
703C2×D8—21no—
704C2×D8—21no—
705C2×D8—21no—
706C2×D8—82no—
707C2×D8—82no—
708C2×D8—82no—
709#131—82no—
710#131—82no—
711C2×M16—21no—
712C2×M16—21no—
713C2×M16—21no—
714C2×M16—21no—
715C2×M16—21no—
716C2×M16—21no—
717C2×M16—21no—
718C2×M16—21no—
719C2×M16—21no—
720C2×M16—21no—
721C2×M16—82no—
722C2×M16C2×D411yescharacteristic
723C2×M16C2×D411yescharacteristic
724C2×M16C2×D411yescharacteristic
725C2×M16C2×D411yescharacteristic
726C22×C8—21no—
727C22×C8—21no—
728C22×C8—21no—
729C22×C8—21no—
730C22×C8—21no—
731C22×C8—21no—
732C22×C8—21no—
733C22×C8—21no—
734C22×C8—21no—
735C22×C8C2×D411yescharacteristic
736C22×C8C2×D411yescharacteristic
737C4⋊Q8—21no—
738C4⋊Q8C2×D411yescharacteristic
739C4⋊Q8C2×D411yescharacteristic
740C4⋊Q8C2411yescharacteristic
741C4⋊Q8C2411yescharacteristic
742C4⋊Q8C2411yescharacteristic
743#127—21no—
744#127—21no—
745#127—21no—
746#127—21no—
747#127—21no—
748#127—21no—
749#127—21no—
750#127—21no—
751#127—21no—
752#127—21no—
753#127—21no—
754#127—21no—
755#127—21no—
756#127—41no—
757#127C2×D411yescharacteristic
758#127C2×D411yescharacteristic
759#127C2411yescharacteristic
760#127C2411yescharacteristic
761#127C2411yescharacteristic
762#127C2411yescharacteristic
763#127C2411yescharacteristic
764#126—21no—
765#126—21no—
766#126—21no—
767#126—21no—
768#125—21no—
769#125—21no—
770#125C2×D411yescharacteristic
771#125C2×D411yescharacteristic
772#124—21no—
773#124—21no—
774#124—21no—
775#124—21no—
776#124—21no—
777#124—21no—
778#124—21no—
779#124—21no—
780#124—21no—
781#124—21no—
782#124—21no—
783#124—21no—
784#124—41no—
785#124C2×D411yescharacteristic
786#124C2×D411yescharacteristic
787#123—21no—
788#123—21no—
789#123—21no—
790#123—21no—
791#123—21no—
792#123—21no—
793#123—21no—
794#123—21no—
795#123—41no—
796#123—41no—
797#123—41no—
798#123—41no—
799C22⋊Q8—21no—
800C22⋊Q8—21no—
801C22⋊Q8—21no—
802C22⋊Q8—21no—
803C22⋊Q8—21no—
804C22⋊Q8—21no—
805C22⋊Q8—21no—
806C22⋊Q8C2×D411yescharacteristic
807C22⋊Q8C2×D411yescharacteristic
808#121—21no—
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—21no—
817#121—21no—
818#121—21no—
819#121—21no—
820#121—21no—
821#121—21no—
822#121—21no—
823#121—21no—
824#121—21no—
825#121—21no—
826#121—21no—
827#121—21no—
828#121—21no—
829#121—21no—
830#121—21no—
831#121—21no—
832#121—21no—
833#121—41no—
834#121—41no—
835#121—41no—
836#121—41no—
837#121—41no—
838#121—41no—
839#121—41no—
840#121—41no—
841#121—41no—
842#121—41no—
843#121C2×D411yescharacteristic
844#121C2×D411yescharacteristic
845#121C2×D411yescharacteristic
846#121C2×D411yescharacteristic
847#121C2×D411yescharacteristic
848#121C2×D411yescharacteristic
849#120—21no—
850#120—21no—
851#120—21no—
852#120—21no—
853#120—41no—
854#120—41no—
855#120—41no—
856#120—41no—
857#120—41no—
858#120—41no—
859#120—41no—
860#120—41no—
861C4×Q8—21no—
862C4×Q8—21no—
863C4×Q8C2×D411yescharacteristic
864C4×Q8C2×D411yescharacteristic
865C4×Q8#4111yescharacteristic
866C4×Q8C2411yescharacteristic
867C4×D4—21no—
868C4×D4—21no—
869C4×D4—21no—
870C4×D4—21no—
871C4×D4—21no—
872C4×D4—21no—
873C4×D4—21no—
874C4×D4—21no—
875C4×D4—21no—
876C4×D4—21no—
877C4×D4—21no—
878C4×D4—21no—
879C4×D4—21no—
880C4×D4—21no—
881C4×D4—21no—
882C4×D4—21no—
883C4×D4—21no—
884C4×D4—21no—
885C4×D4—21no—
886C4×D4—21no—
887C4×D4—21no—
888C4×D4—21no—
889C4×D4—41no—
890C4×D4—41no—
891C4×D4C2×D411yescharacteristic
892C4×D4C2×D411yescharacteristic
893C4×D4C2×D411yescharacteristic
894C4×D4C2×D411yescharacteristic
895C4×D4C2×D411yescharacteristic
896C4×D4C2×D411yescharacteristic
897C4×D4#4111yescharacteristic
898C4×D4#4111yescharacteristic
899C4×D4#4111yescharacteristic
900C4×D4C2411yescharacteristic
901C4×D4C2411yescharacteristic
902C4×D4C2411yescharacteristic
903#117—21no—
904#117—21no—
905#117—21no—
906#117—21no—
907#117C2×D411yescharacteristic
908#117C2×D411yescharacteristic
909#117C2×D411yescharacteristic
910#117C2×D411yescharacteristic
911C2×C4⋊C4C2×D411yescharacteristic
912C2×C22⋊C4—21no—
913C2×C22⋊C4—41no—
914C2×C22⋊C4—41no—
915C2×C42—21no—
916C2×C42C2411yescharacteristic
917C2×C42C2411yescharacteristic
918C2×C42C2411yescharacteristic
919#107—21no—
920#107—21no—
921#107—21no—
922#107—21no—
923#106—21no—
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929C4⋊C8—21no—
930C4⋊C8—21no—
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8C2×D411yescharacteristic
941C4⋊C8C2×D411yescharacteristic
942C4⋊C8C2×D411yescharacteristic
943C4⋊C8C2×D411yescharacteristic
944C4⋊C8C2×D411yescharacteristic
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955C4⋊C8C2411yescharacteristic
956C4⋊C8C2411yescharacteristic
957C4⋊C8C2411yescharacteristic
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#102—21no—
967#102—21no—
968#102—21no—
969#102—21no—
970#102—21no—
971#102—21no—
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—
1002C22⋊C8—21no—
1003C22⋊C8—21no—
1004C22⋊C8—21no—
1005C22⋊C8—21no—
1006C22⋊C8—21no—
1007C22⋊C8—21no—
1008C22⋊C8—21no—
1009C22⋊C8—21no—
1010C22⋊C8—21no—
1011C22⋊C8—21no—
1012C22⋊C8—21no—
1013C22⋊C8—21no—
1014C22⋊C8—21no—
1015C22⋊C8—21no—
1016C22⋊C8—21no—
1017C22⋊C8—21no—
1018C22⋊C8—21no—
1019C22⋊C8—21no—
1020C22⋊C8—21no—
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8C2×D411yescharacteristic
1026C22⋊C8C2×D411yescharacteristic
1027C22⋊C8C2×D411yescharacteristic
1028C22⋊C8C2×D411yescharacteristic
1029C22⋊C8C2×D411yescharacteristic
1030C22⋊C8C2×D411yescharacteristic
1031#97—21no—
1032#97—21no—
1033#97—21no—
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97C2×D411yescharacteristic
1040#97C2×D411yescharacteristic
1041#97C2×D411yescharacteristic
1042#97C2×D411yescharacteristic
1043C4×C8—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8—21no—
1047C4×C8—21no—
1048C4×C8—21no—
1049C4×C8—21no—
1050C4×C8C2×D411yescharacteristic
1051C4×C8C2×D411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C4×C8C2411yescharacteristic
1056C24—21no—
1057C24—41no—
1058C24—41no—
1059C24—41no—
1060C24—41no—
1061#41—41no—
1062#41—41no—
1063#41—41no—
1064#41—41no—
1065#41—42no—
1066#41—42no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
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—161no—
1081#41—161no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8#12111yescharacteristic
1088C2×Q8C22×D411yescharacteristic
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—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—42no—
1119C2×D4—42no—
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—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—84no—
1154C2×D4—84no—
1155C2×D4—84no—
1156C2×D4—161no—
1157C2×D4—161no—
1158C2×D4—161no—
1159C2×D4—161no—
1160C2×D4#12111yescharacteristic
1161C2×D4#12111yescharacteristic
1162C2×D4#12111yescharacteristic
1163C2×D4C22×D411yescharacteristic
1164C2×D4C22×D411yescharacteristic
1165C2×D4C22×D411yescharacteristic
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—81no—
1182C22×C4—81no—
1183C22×C4C22×D411yescharacteristic
1184C22×C4C22×D411yescharacteristic
1185C22×C4C22×D411yescharacteristic
1186C22×C4C22×D411yescharacteristic
1187C22×C4C22×D411yescharacteristic
1188C22×C4C22×D411yescharacteristic
1189C22×C4C2×#4111yescharacteristic
1190C22×C4C2×#4111yescharacteristic
1191C22×C4C2×#4111yescharacteristic
1192Q16—81no—
1193SD16—42no—
1194SD16—42no—
1195SD16—81no—
1196SD16—81no—
1197SD16—81no—
1198SD16—81no—
1199SD16—81no—
1200SD16—81no—
1201SD16—81no—
1202SD16—81no—
1203SD16—81no—
1204SD16—81no—
1205SD16—81no—
1206SD16—81no—
1207D8—42no—
1208D8—42no—
1209D8—42no—
1210D8—42no—
1211D8—81no—
1212D8—81no—
1213D8—81no—
1214D8—81no—
1215D8—81no—
1216D8—81no—
1217D8—81no—
1218D8—81no—
1219D8—81no—
1220D8—81no—
1221D8—81no—
1222D8—81no—
1223D8—81no—
1224D8—81no—
1225D8—81no—
1226D8—81no—
1227D8—81no—
1228D8—81no—
1229D8—81no—
1230D8—81no—
1231D8—81no—
1232D8—81no—
1233D8—81no—
1234M16—22no—
1235M16—22no—
1236M16—41no—
1237M16—41no—
1238M16—42no—
1239M16—42no—
1240M16—42no—
1241M16—81no—
1242M16—81no—
1243M16—81no—
1244M16—81no—
1245M16—81no—
1246M16—81no—
1247M16—81no—
1248C2×C8—22no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—41no—
1262C2×C8—42no—
1263C2×C8—42no—
1264C2×C8—81no—
1265C2×C8—81no—
1266C2×C8—81no—
1267C2×C8—81no—
1268C2×C8—81no—
1269C2×C8—81no—
1270C2×C8—81no—
1271C2×C8C22×D411yescharacteristic
1272C2×C8C22×D411yescharacteristic
1273C2×C8C22×D411yescharacteristic
1274C2×C8C22×D411yescharacteristic
1275C2×C8C22×D411yescharacteristic
1276C2×C8C22×D411yescharacteristic
1277C2×C8C22×D411yescharacteristic
1278C2×C8C22×D411yescharacteristic
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4#12111yescharacteristic
1299C4⋊C4#12111yescharacteristic
1300C4⋊C4#12111yescharacteristic
1301C4⋊C4#12111yescharacteristic
1302C4⋊C4#12111yescharacteristic
1303C4⋊C4#12111yescharacteristic
1304C4⋊C4C22×D411yescharacteristic
1305C4⋊C4C22×D411yescharacteristic
1306C4⋊C4C22×D411yescharacteristic
1307C4⋊C4C22×D411yescharacteristic
1308C22⋊C4—21no—
1309C22⋊C4—21no—
1310C22⋊C4—21no—
1311C22⋊C4—21no—
1312C22⋊C4—21no—
1313C22⋊C4—21no—
1314C22⋊C4—21no—
1315C22⋊C4—21no—
1316C22⋊C4—21no—
1317C22⋊C4—21no—
1318C22⋊C4—21no—
1319C22⋊C4—21no—
1320C22⋊C4—21no—
1321C22⋊C4—21no—
1322C22⋊C4—21no—
1323C22⋊C4—21no—
1324C22⋊C4—21no—
1325C22⋊C4—21no—
1326C22⋊C4—21no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4#12111yescharacteristic
1343C22⋊C4#12111yescharacteristic
1344C22⋊C4#12111yescharacteristic
1345C22⋊C4#12111yescharacteristic
1346C22⋊C4#12111yescharacteristic
1347C22⋊C4#12111yescharacteristic
1348C42—21no—
1349C42—21no—
1350C42—21no—
1351C42—41no—
1352C42C22×D411yescharacteristic
1353C42C22×D411yescharacteristic
1354C42C22×D411yescharacteristic
1355C42C22×D411yescharacteristic
1356C42C22×D411yescharacteristic
1357C42C22×D411yescharacteristic
1358C42C2×#4111yescharacteristic
1359C42C2×#4111yescharacteristic
1360C42C2×#4111yescharacteristic
1361C42C2511yescharacteristic
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—81no—
1371C23—81no—
1372C23—81no—
1373C23—82no—
1374C23—82no—
1375C23—82no—
1376C23—82no—
1377C23—161no—
1378C23—161no—
1379C23—161no—
1380C23—161no—
1381C23—161no—
1382C23—161no—
1383C23—161no—
1384C23—161no—
1385C23C2×#12111yescharacteristic
1386C23C2×#12111yescharacteristic
1387C23C2×#12111yescharacteristic
1388Q8—21no—
1389Q8—21no—
1390Q8—41no—
1391Q8—41no—
1392Q8—41no—
1393Q8—41no—
1394Q8—41no—
1395Q8—81no—
1396Q8—81no—
1397Q8—81no—
1398D4—21no—
1399D4—21no—
1400D4—21no—
1401D4—21no—
1402D4—21no—
1403D4—21no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—41no—
1418D4—41no—
1419D4—41no—
1420D4—41no—
1421D4—41no—
1422D4—41no—
1423D4—41no—
1424D4—41no—
1425D4—41no—
1426D4—41no—
1427D4—81no—
1428D4—81no—
1429D4—81no—
1430D4—81no—
1431D4—81no—
1432D4—81no—
1433D4—81no—
1434D4—81no—
1435D4—81no—
1436D4—81no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—81no—
1442D4—81no—
1443D4—81no—
1444D4—81no—
1445D4—81no—
1446D4—81no—
1447D4—81no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451D4—161no—
1452D4—161no—
1453D4—161no—
1454D4—161no—
1455D4—161no—
1456D4—161no—
1457D4—161no—
1458D4—161no—
1459D4—161no—
1460D4—161no—
1461D4—161no—
1462D4—161no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—81no—
1493C2×C4—81no—
1494C2×C4—81no—
1495C2×C4—81no—
1496C2×C4—82no—
1497C2×C4—82no—
1498C2×C4—82no—
1499C2×C4—81no—
1500C2×C4—161no—
1501C2×C4—161no—
1502C2×C4—161no—
1503C2×C4—161no—
1504C2×C4C2×#12111yescharacteristic
1505C2×C4C2×#12111yescharacteristic
1506C2×C4C2×#12111yescharacteristic
1507C2×C4C2×#12111yescharacteristic
1508C2×C4C2×#12111yescharacteristic
1509C2×C4C2×#12111yescharacteristic
1510C2×C4C2×#12111yescharacteristic
1511C2×C4C2×#12111yescharacteristic
1512C2×C4C2×#12111yescharacteristic
1513C2×C4C23×D411yescharacteristic
1514C2×C4C23×D411yescharacteristic
1515C2×C4C22×#4111yescharacteristic
1516C8—21no—
1517C8—21no—
1518C8—21no—
1519C8—21no—
1520C8—21no—
1521C8—21no—
1522C8—21no—
1523C8—41no—
1524C8—41no—
1525C8—41no—
1526C8—41no—
1527C8—41no—
1528C8—41no—
1529C8—41no—
1530C8—41no—
1531C8—41no—
1532C8—41no—
1533C8—41no—
1534C8—41no—
1535C8#57612yes—
1536C22—21no—
1537C22—21no—
1538C22—21no—
1539C22—21no—
1540C22—21no—
1541C22—21no—
1542C22—21no—
1543C22—21no—
1544C22—21no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—162no—
1570C22—322no—
1571C22—322no—
1572C22—322no—
1573C22—322no—
1574C22C22×#12111yescharacteristic
1575C4—21no—
1576C4—21no—
1577C4—21no—
1578C4—21no—
1579C4—21no—
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—81no—
1591C4—81no—
1592C4—81no—
1593C4C2×#57611yescharacteristic
1594C4#358511yescharacteristic
1595C4#358511yescharacteristic
1596C4#358511yescharacteristic
1597C2—41no—
1598C2—41no—
1599C2—41no—
1600C2—81no—
1601C2—81no—
1602C2—81no—
1603C2—161no—
1604C2—161no—
1605C2—161no—
1606C2—161no—
1607C2—161no—
1608C2#6042811yescharacteristic
1609C2#6045411yescharacteristic
1610C2#6047111yescharacteristic
subgroupG/H
center, socleC22C22×#121
commutator, Frattini, cosocleC42C25
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C4×#41 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #62423C2semidirect
2. #60990C2semidirect
3. #60832C2semidirect
4. #60326C2semidirect
5. #19582C2semidirect
6. #19578C2semidirect
7. #19557C2semidirect
8. #19554C2semidirect
9. #19538C2semidirect
10. #19537C2semidirect
11. #19506C2semidirect
12. #19504C2semidirect
13. #19484C2semidirect
14. #19480C2semidirect
15. #19461C2semidirect
16. #19458C2semidirect
17. #19376C2semidirect
18. #19370C2semidirect
19. #19353C2semidirect
20. #19334C2semidirect
21. #19320C2semidirect
22. #19306C2semidirect
23. #19250C2semidirect
24. #19230C2semidirect
25. #19218C2semidirect
26. #19187C2semidirect
27. #19184C2semidirect
28. #19162C2semidirect
29. #17831C2semidirect
30. #17766C2semidirect
31. #17758C2semidirect
43. #3253C22semidirect
44. #3251C22semidirect
45. #3247C22semidirect
46. #3245C22semidirect
48. #3235C22semidirect
49. #3233C22semidirect
56. #3217C22semidirect
57. #3217C22semidirect
59. #3214C22semidirect
61. #3212C22semidirect
62. #3208C22semidirect
64. #3207C22semidirect
67. #3205C22semidirect
68. #3205C22semidirect
69. #3205C22semidirect
70. #3205C22semidirect
74. #3184C22semidirect
77. #3167C22semidirect
80. #3151C22semidirect
81. C2×#493C22semidirect
85. #3115C22semidirect
86. #3109C22semidirect
87. #3106C22semidirect
88. #3100C22semidirect
89. #3038C22semidirect
90. #3036C22semidirect
91. #3035C22semidirect
92. C2×#459C22semidirect
95. #2994C22semidirect
96. #2993C22semidirect
98. #2990C22semidirect
100. #2981C22semidirect
102. #2979C22semidirect
105. #2974C22semidirect
106. #2971C22semidirect
107. #2969C22semidirect
109. #2966C22semidirect
112. #2935C22semidirect
113. D4×M16C22semidirect
115. #2931C22semidirect
119. #1702C22semidirect
120. #1701C22semidirect
121. #1701C22semidirect
122. #1701C22semidirect
123. #1700C22semidirect
124. #1699C22semidirect
125. #1698C22semidirect
126. #1698C22semidirect
127. #1697C22semidirect
128. #1697C22semidirect
129. #1697C22semidirect
130. #1697C22semidirect
131. #1691C22semidirect
132. #1691C22semidirect
133. #1688C22semidirect
134. #1688C22semidirect
135. #1688C22semidirect
136. #1687C22semidirect
137. #1687C22semidirect
138. #1687C22semidirect
139. #1687C22semidirect
140. #1687C22semidirect
141. #1687C22semidirect
142. #1687C22semidirect
143. #1687C22semidirect
144. #1687C22semidirect
145. #1686C22semidirect
146. #1685C22semidirect
147. #1685C22semidirect
148. #1685C22semidirect
149. #1685C22semidirect
150. #1685C22semidirect
151. #1682C22semidirect
152. #1681C22semidirect
153. #1681C22semidirect
154. #1681C22semidirect
155. #1679C22semidirect
156. #1679C22semidirect
157. #1678C22semidirect
158. #1677C22semidirect
159. #1677C22semidirect
160. #1677C22semidirect
161. #1677C22semidirect
162. #1677C22semidirect
163. #1672C22semidirect
164. #1671C22semidirect
165. #1668C22semidirect
166. #1668C22semidirect
167. #1668C22semidirect
168. #1667C22semidirect
169. #1667C22semidirect
170. #1667C22semidirect
171. #1667C22semidirect
172. #1667C22semidirect
173. #1667C22semidirect
174. #1667C22semidirect
175. #1667C22semidirect
176. #1667C22semidirect
177. #1666C22semidirect
178. #1666C22semidirect
179. #1665C22semidirect
180. #1665C22semidirect
181. #1665C22semidirect
182. #1665C22semidirect
183. #1574C22semidirect
184. #1574C22semidirect
185. #1573C22semidirect
186. #1573C22semidirect
187. #1572C22semidirect
188. #1572C22semidirect
189. #1569C22semidirect
190. #1569C22semidirect
191. #1568C22semidirect
192. #1565C22semidirect
193. #1565C22semidirect
194. #1564C22semidirect
195. #1560C22semidirect
196. #1559C22semidirect
197. #1557C22semidirect
198. #1557C22semidirect
199. #1557C22semidirect
200. #1555C22semidirect
201. #1555C22semidirect
202. #1555C22semidirect
203. #1554C22semidirect
204. #1553C22semidirect
205. #1553C22semidirect
206. #1553C22semidirect
207. #1551C22semidirect
208. #1551C22semidirect
209. #1547C22semidirect
210. #1547C22semidirect
211. #1545C22semidirect
212. #1545C22semidirect
213. #1545C22semidirect
214. #1545C22semidirect
215. #1543C22semidirect
216. #1540C22semidirect
217. #1540C22semidirect
218. C2×#331C22semidirect

Maximal subgroups

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

subgroupindex
#624232
#609902
#608322
#603262
#195822
#195782
#195572
#195542
#195382
#195372
#195062
#195042
#194842
#194802
#194612
#194582
#193762
#193702
#193532
#193342
#193202
#193062
#192502
#192302
#192182
#191872
#191842
#191622
#178312
#177662
#177582