Finite Group Databasebeta

← #6356375

Subgroups — #6356375

Order 512.

1543 conjugacy classes of subgroups.

The subgroup lattice has 1527 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62546C211yesmaximal, characteristic, complemented
2#60990C211yesmaximal, characteristic, complemented
3#60989C211yesmaximal, characteristic, complemented
4#60321C211yesmaximal, characteristic, complemented
5#19591C211yesmaximal, characteristic, complemented
6#19585C211yesmaximal, characteristic, complemented
7#19582C211yesmaximal, characteristic, complemented
8#19576C211yesmaximal, characteristic, complemented
9#19562C211yesmaximal, characteristic, complemented
10#19561C211yesmaximal, characteristic, complemented
11#19557C211yesmaximal, characteristic, complemented
12#19554C211yesmaximal, characteristic, complemented
13#19455C211yesmaximal, characteristic, complemented
14#19448C211yesmaximal, characteristic, complemented
15#19394C211yesmaximal, characteristic, complemented
16#19389C211yesmaximal, characteristic, complemented
17#19382C211yesmaximal, characteristic, complemented
18#19380C211yesmaximal, characteristic, complemented
19#19370C211yesmaximal, characteristic, complemented
20#19369C211yesmaximal, characteristic, complemented
21#19283C211yesmaximal, characteristic, complemented
22#19278C211yesmaximal, characteristic, complemented
23#19248C211yesmaximal, characteristic, complemented
24#19247C211yesmaximal, characteristic, complemented
25#19236C211yesmaximal, characteristic, complemented
26#19234C211yesmaximal, characteristic, complemented
27#19142C211yesmaximal, characteristic, complemented
28#19128C211yesmaximal, characteristic, complemented
29#17831C211yesmaximal, characteristic, complemented
30#17726C211yesmaximal, characteristic, complemented
31#17724C211yesmaximal, characteristic, complemented
32#3511C2211yescharacteristic
33#3508C2211yescharacteristic
34#3460C2211yescharacteristic
35#3370—21no—
36#3370—21no—
37#3322—21no—
38#3322—21no—
39#3319—21no—
40#3319—21no—
41#3309—21no—
42#3309—21no—
43#3253C2211yescharacteristic
44#3253C2211yescharacteristic
45#3252C2211yescharacteristic
46#3251C2211yescharacteristic
47#3247C2211yescharacteristic
48#3247C2211yescharacteristic
49#3246C2211yescharacteristic
50#3245C2211yescharacteristic
51#3244—21no—
52#3241—21no—
53#3238C2211yescharacteristic, complemented
54#3235C2211yescharacteristic
55#3233C2211yescharacteristic
56#3231C2211yescharacteristic, complemented
57#3228C2211yescharacteristic
58#3227C2211yescharacteristic, complemented
59#3226C2211yescharacteristic, complemented
60#3224—21no—
61#3220—21no—
62#3217C2211yescharacteristic
63#3214C2211yescharacteristic, complemented
64#3212C2211yescharacteristic, complemented
65#3207C2211yescharacteristic
66#3207C2211yescharacteristic, complemented
67#3205C2211yescharacteristic
68#3205C2211yescharacteristic, complemented
69#3204—21no—
70#3199—21no—
71#3198—21no—
72#3198—21no—
73#3184C2211yescharacteristic, complemented
74#3182C2211yescharacteristic, complemented
75#3179—21no—
76#3179—21no—
77#3176—21no—
78#3173—21no—
79#3169C2211yescharacteristic
80#3141C2211yescharacteristic, complemented
81#3138C2211yescharacteristic, complemented
82#3131C2211yescharacteristic
83#3125—21no—
84#3122—21no—
85#3119—21no—
86#3118—21no—
87#3116C2211yescharacteristic, complemented
88#3115C2211yescharacteristic
89#3109C2211yescharacteristic
90#3109C2211yescharacteristic, complemented
91#3106C2211yescharacteristic
92#3106C2211yescharacteristic, complemented
93#3101C2211yescharacteristic, complemented
94#3100C2211yescharacteristic
95#2994C2211yescharacteristic
96#2994C2211yescharacteristic, complemented
97#2993—21no—
98#2989C2211yescharacteristic, complemented
99#2988C2211yescharacteristic
100#2981—21no—
101#2979C2211yescharacteristic
102#2979C2211yescharacteristic, complemented
103#2977—21no—
104#2977—21no—
105#2972C2211yescharacteristic, complemented
106#2969C2211yescharacteristic
107#2969C2211yescharacteristic, complemented
108#2966—21no—
109#2965C2211yescharacteristic
110C8×#41C2211yescharacteristic, complemented
111#2935C2211yescharacteristic
112#2935C2211yescharacteristic, complemented
113#2933—21no—
114#2933—21no—
115#2931—21no—
116C2×#436C2211yescharacteristic, complemented
117#2925C2211yescharacteristic
118#2925C2211yescharacteristic
119#1704C2211yescharacteristic, complemented
120#1703C2211yescharacteristic, complemented
121#1703C2211yescharacteristic, complemented
122#1703C2211yescharacteristic, complemented
123#1702C2211yescharacteristic, complemented
124#1701C2211yescharacteristic
125#1701C2211yescharacteristic
126#1701C2211yescharacteristic, complemented
127#1699C2211yescharacteristic, complemented
128#1699C2211yescharacteristic, complemented
129#1698C2211yescharacteristic, complemented
130#1698C2211yescharacteristic, complemented
131#1697C2211yescharacteristic
132#1697C2211yescharacteristic
133#1697C2211yescharacteristic
134#1697C2211yescharacteristic
135#1697C2211yescharacteristic, complemented
136#1697C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1697C2211yescharacteristic, complemented
139#1696C2211yescharacteristic, complemented
140#1695C2211yescharacteristic, complemented
141#1695C2211yescharacteristic, complemented
142#1695C2211yescharacteristic, complemented
143#1692C2211yescharacteristic, complemented
144#1691C2211yescharacteristic, complemented
145#1688C2211yescharacteristic, complemented
146#1687C2211yescharacteristic
147#1687C2211yescharacteristic
148#1687C2211yescharacteristic, complemented
149#1686C2211yescharacteristic, complemented
150#1685C2211yescharacteristic, complemented
151#1684C2211yescharacteristic, complemented
152#1683C2211yescharacteristic, complemented
153#1683C2211yescharacteristic, complemented
154#1683C2211yescharacteristic, complemented
155#1682C2211yescharacteristic, complemented
156#1681C2211yescharacteristic
157#1681C2211yescharacteristic
158#1681C2211yescharacteristic, complemented
159#1680C2211yescharacteristic, complemented
160#1679C2211yescharacteristic, complemented
161#1678C2211yescharacteristic, complemented
162#1678C2211yescharacteristic, complemented
163#1678C2211yescharacteristic, complemented
164#1677C2211yescharacteristic
165#1677C2211yescharacteristic
166#1677C2211yescharacteristic
167#1677C2211yescharacteristic
168#1677C2211yescharacteristic, complemented
169#1677C2211yescharacteristic, complemented
170#1677C2211yescharacteristic, complemented
171#1676C2211yescharacteristic, complemented
172#1675C2211yescharacteristic, complemented
173#1675C2211yescharacteristic, complemented
174#1675C2211yescharacteristic, complemented
175#1671C2211yescharacteristic, complemented
176#1671C2211yescharacteristic, complemented
177#1668C2211yescharacteristic, complemented
178#1667C2211yescharacteristic
179#1667C2211yescharacteristic
180#1667C2211yescharacteristic, 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#1554C2211yescharacteristic, complemented
196#1554C2211yescharacteristic, complemented
197#1553C2211yescharacteristic
198#1553C2211yescharacteristic, complemented
199#1551C2211yescharacteristic
200#1551C2211yescharacteristic, complemented
201#1551C2211yescharacteristic, complemented
202#1551C2211yescharacteristic, complemented
203#1550C2211yescharacteristic, complemented
204#1548C2211yescharacteristic, complemented
205#1547C2211yescharacteristic, complemented
206#1545C2211yescharacteristic, complemented
207#1543C2211yescharacteristic
208#1543C2211yescharacteristic, complemented
209#1543C2211yescharacteristic, complemented
210#1543C2211yescharacteristic, complemented
211#1542C2211yescharacteristic, complemented
212#1542C2211yescharacteristic, complemented
213#1542C2211yescharacteristic, complemented
214C2×#333C2211yescharacteristic, complemented
215#1540C2211yescharacteristic
216#1540C2211yescharacteristic, complemented
217#1540C2211yescharacteristic, complemented
218C2×#331C2211yescharacteristic, complemented
219C2×#131—21no—
220C2×#131—21no—
221C22×M16—21no—
222#559—21no—
223#559—21no—
224#556—21no—
225#555—21no—
226#554—21no—
227#553—21no—
228#553—21no—
229#550—21no—
230#550—21no—
231#548—21no—
232#548—21no—
233#547—21no—
234#546—21no—
235#546—21no—
236#546—21no—
237#546—21no—
238#544D411yescharacteristic
239#542—21no—
240#542—21no—
241#542—21no—
242#542D411yescharacteristic
243#542D411yescharacteristic
244#540—21no—
245#540—21no—
246#540—21no—
247#540D411yescharacteristic
248#540D411yescharacteristic
249#538—21no—
250#538—21no—
251#537—21no—
252#537D411yescharacteristic
253#535—21no—
254#535D411yescharacteristic
255#535D411yescharacteristic
256#533C2311yescharacteristic
257#533C2311yescharacteristic
258#533C2311yescharacteristic
259#532—21no—
260#532C2311yescharacteristic
261#532C2311yescharacteristic
262#532C2311yescharacteristic
263#532C2311yescharacteristic
264#532C2311yescharacteristic
265#532C2311yescharacteristic
266#532C2311yescharacteristic
267#532C2311yescharacteristic
268#532C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270C2×#127C2311yescharacteristic
271#529—21no—
272#529C2311yescharacteristic
273#529C2311yescharacteristic
274#525—21no—
275#525—21no—
276#520—21no—
277#518—21no—
278C4×#41C2311yescharacteristic
279C4×#41C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281#501—21no—
282#501—21no—
283#500C2311yescharacteristic
284#500C2311yescharacteristic
285#499—21no—
286#498—21no—
287#498C2311yescharacteristic
288#496—21no—
289#496—21no—
290#495—21no—
291#493—21no—
292#493C2311yescharacteristic
293#493C2311yescharacteristic
294#492C2311yescharacteristic
295#490—21no—
296#490—21no—
297#490—21no—
298#490—21no—
299#489—21no—
300#489—21no—
301#489—21no—
302#489—21no—
303#488—21no—
304#488—21no—
305#488—21no—
306#488—21no—
307#487C2311yescharacteristic
308#487C2311yescharacteristic
309#487C2311yescharacteristic
310#486—21no—
311#486—21no—
312#486C2311yescharacteristic
313#486C2311yescharacteristic
314#486C2311yescharacteristic
315#486C2311yescharacteristic
316#486C2311yescharacteristic
317#486C2311yescharacteristic
318#486C2311yescharacteristic
319#485—21no—
320#485—21no—
321#485—21no—
322#485—21no—
323#483—21no—
324#483—21no—
325#482—21no—
326#482—21no—
327#482—21no—
328#482—21no—
329#482—21no—
330#482—21no—
331#482—21no—
332#482—21no—
333#481—21no—
334#481—21no—
335#481—21no—
336#481—21no—
337#480—21no—
338#480—21no—
339#480—21no—
340#480—21no—
341#479—21no—
342#479—21no—
343#479—21no—
344#478—21no—
345#478—21no—
346#478—21no—
347#478—21no—
348#478—21no—
349#477C2311yescharacteristic
350#477C2311yescharacteristic
351#477C2311yescharacteristic
352#476—21no—
353#476—21no—
354#476C2311yescharacteristic
355#476C2311yescharacteristic
356#476C2311yescharacteristic
357#476C2311yescharacteristic
358#476C2311yescharacteristic
359#476C2311yescharacteristic
360#476C2311yescharacteristic
361#476C2311yescharacteristic
362#476C2311yescharacteristic
363#475—21no—
364#475C2311yescharacteristic
365#474—21no—
366#474—21no—
367#474—21no—
368#474C2311yescharacteristic
369#474C2311yescharacteristic
370#474C2311yescharacteristic
371#470—21no—
372#469—21no—
373#469—21no—
374#469—21no—
375#469—21no—
376#469—21no—
377#469—21no—
378#469—21no—
379#468—21no—
380#468—21no—
381#468—21no—
382#468—21no—
383#466—21no—
384#466—21no—
385#466—21no—
386#466—21no—
387#466—21no—
388#466—21no—
389#465—21no—
390#465—21no—
391#465—21no—
392#465—21no—
393#464—21no—
394#463—21no—
395#463—21no—
396#463—21no—
397#463—21no—
398#463—21no—
399#463—21no—
400#463—21no—
401#462C2311yescharacteristic
402#461C2311yescharacteristic
403#461C2311yescharacteristic
404#461C2311yescharacteristic
405#460—21no—
406#460C2311yescharacteristic
407#460C2311yescharacteristic
408#460C2311yescharacteristic
409#459—21no—
410#459—21no—
411#459—21no—
412#459—21no—
413#459—21no—
414#459C2311yescharacteristic
415#459C2311yescharacteristic
416#459C2311yescharacteristic
417#459C2311yescharacteristic
418#459C2311yescharacteristic
419#459C2311yescharacteristic
420#459C2311yescharacteristic
421#459C2311yescharacteristic
422#459C2311yescharacteristic
423#452—21no—
424#452—21no—
425#450—21no—
426#450—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#447—21no—
438#447—21no—
439#447—21no—
440#447—21no—
441#447—21no—
442#447—21no—
443#447—21no—
444#447—21no—
445#446D411yescharacteristic
446#446D411yescharacteristic
447#446C2311yescharacteristic
448#446C2311yescharacteristic
449C8×Q8—21no—
450C8×Q8C2311yescharacteristic
451C8×Q8C2311yescharacteristic
452#442—21no—
453#442—21no—
454#442—21no—
455#442—21no—
456#442—21no—
457#442—21no—
458#442—21no—
459#441—21no—
460#440—21no—
461#440—21no—
462#440—21no—
463#440—21no—
464C4×SD16—21no—
465C4×SD16—21no—
466C4×SD16—21no—
467C4×SD16—21no—
468C4×D8—21no—
469C4×D8—21no—
470C4×D8—21no—
471C4×D8—21no—
472C4×D8—21no—
473C4×D8—21no—
474#436—21no—
475#436—21no—
476#436—21no—
477#436—21no—
478#436—21no—
479#436—21no—
480#436D411yescharacteristic
481#436D411yescharacteristic
482#436C2311yescharacteristic
483#436C2311yescharacteristic
484#436C2311yescharacteristic
485#436C2311yescharacteristic
486#436C2311yescharacteristic
487#436C2311yescharacteristic
488#435—21no—
489#435—21no—
490#435—21no—
491#435—21no—
492#435—21no—
493#435—21no—
494#435—21no—
495#435—21no—
496#435—21no—
497#435—21no—
498#435D411yescharacteristic
499#435D411yescharacteristic
500#435D411yescharacteristic
501#435D411yescharacteristic
502C8×D4—21no—
503C8×D4—21no—
504C8×D4—21no—
505C8×D4—21no—
506C8×D4—21no—
507C8×D4—21no—
508C8×D4—21no—
509C8×D4—21no—
510C8×D4—21no—
511C8×D4—21no—
512C8×D4—21no—
513C8×D4C2311yescharacteristic
514C8×D4C2311yescharacteristic
515C8×D4C2311yescharacteristic
516C8×D4C2311yescharacteristic
517C8×D4C2311yescharacteristic
518C8×D4C2311yescharacteristic
519#433—21no—
520#433—21no—
521#433—21no—
522#433—21no—
523#433—21no—
524#433—21no—
525#433—21no—
526#433—21no—
527#432—21no—
528#432C2311yescharacteristic
529#432C2311yescharacteristic
530#432C2311yescharacteristic
531#432C2311yescharacteristic
532#431—21no—
533#431C2311yescharacteristic
534#431C2311yescharacteristic
535#431C2311yescharacteristic
536#431C2311yescharacteristic
537#431C2311yescharacteristic
538#431C2311yescharacteristic
539#431C2311yescharacteristic
540#431C2311yescharacteristic
541#431C2311yescharacteristic
542#431C2311yescharacteristic
543#424—21no—
544#424—21no—
545#423—21no—
546#423C2311yescharacteristic
547#423C2311yescharacteristic
548C2×C4⋊C8C2311yescharacteristic
549C2×C4⋊C8C2311yescharacteristic
550C2×C4⋊C8C2311yescharacteristic
551C2×C4⋊C8C2311yescharacteristic
552C2×C4⋊C8C2311yescharacteristic
553#418—21no—
554#418—21no—
555#417—21no—
556#417—21no—
557#416—21no—
558#416—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—
567C2×C22⋊C8—21no—
568C2×C22⋊C8—21no—
569C2×C22⋊C8—21no—
570#405—21no—
571#405—21no—
572#405—21no—
573#405—21no—
574C4×M16C2311yescharacteristic
575C4×M16C2311yescharacteristic
576C2×C4×C8—21no—
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#333C2311yescharacteristic
599#333C2311yescharacteristic
600#333C2311yescharacteristic
601#333C2311yescharacteristic
602#333C2311yescharacteristic
603#333C2311yescharacteristic
604#333C2311yescharacteristic
605#333C2311yescharacteristic
606#332C2311yescharacteristic
607#332C2311yescharacteristic
608#332C2311yescharacteristic
609#332C2311yescharacteristic
610#332C2311yescharacteristic
611#332C2311yescharacteristic
612#332C2311yescharacteristic
613#332C2311yescharacteristic
614#331C2311yescharacteristic
615#331C2311yescharacteristic
616#331C2311yescharacteristic
617#331C2311yescharacteristic
618#331C2311yescharacteristic
619#331C2311yescharacteristic
620#331C2311yescharacteristic
621#331C2311yescharacteristic
622#331C2311yescharacteristic
623#331C2311yescharacteristic
624#331C2311yescharacteristic
625#331C2311yescharacteristic
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×#41C2×D411yescharacteristic
636C2×#41C2×D411yescharacteristic
637C22×Q8—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4C2×D411yescharacteristic
642C23×C4—21no—
643C2×Q16—21no—
644C2×SD16—21no—
645C2×SD16—21no—
646C2×SD16—21no—
647C2×SD16—21no—
648C2×SD16—21no—
649C2×SD16—21no—
650C2×SD16—21no—
651C2×SD16—21no—
652C2×D8—21no—
653C2×D8—21no—
654C2×D8—21no—
655C2×D8—21no—
656C2×D8—21no—
657C2×D8—21no—
658C2×D8—21no—
659C2×D8—21no—
660C2×D8—21no—
661C2×D8—21no—
662C2×D8—21no—
663C2×D8—21no—
664C2×D8—21no—
665#131—82no—
666#131—82no—
667C2×M16—21no—
668C2×M16—21no—
669C2×M16—21no—
670C2×M16—21no—
671C2×M16—21no—
672C2×M16—21no—
673C2×M16—21no—
674C2×M16—21no—
675C2×M16—82no—
676C2×M16C2×D411yescharacteristic
677C2×M16C2×D411yescharacteristic
678C2×M16C2×D411yescharacteristic
679C2×M16C2×D411yescharacteristic
680C22×C8—21no—
681C22×C8—21no—
682C22×C8—21no—
683C22×C8—21no—
684C22×C8—21no—
685C22×C8—21no—
686C22×C8—21no—
687C22×C8—21no—
688C22×C8—21no—
689C22×C8—21no—
690C22×C8—21no—
691C22×C8C2×D411yescharacteristic
692C22×C8C2×D411yescharacteristic
693C4⋊Q8—21no—
694C4⋊Q8—21no—
695C4⋊Q8—21no—
696C4⋊Q8—21no—
697C4⋊Q8C2×D411yescharacteristic
698C4⋊Q8C2×D411yescharacteristic
699C4⋊Q8C2411yescharacteristic
700C4⋊Q8C2411yescharacteristic
701C4⋊Q8C2411yescharacteristic
702C4⋊Q8C2411yescharacteristic
703C4⋊Q8C2411yescharacteristic
704#127—21no—
705#127—21no—
706#127—21no—
707#127—21no—
708#127—41no—
709#127C2×D411yescharacteristic
710#127C2×D411yescharacteristic
711#127C2411yescharacteristic
712#127C2411yescharacteristic
713#127C2411yescharacteristic
714#126—21no—
715#126—21no—
716#126—21no—
717#126—21no—
718#126—41no—
719#126—41no—
720#125—21no—
721#125—21no—
722#125—21no—
723#125—21no—
724#125C2×D411yescharacteristic
725#125C2×D411yescharacteristic
726#124—21no—
727#124—21no—
728#124—21no—
729#124—21no—
730#124—21no—
731#124—21no—
732#124—21no—
733#124—21no—
734#124—21no—
735#124—21no—
736#124—21no—
737#124—21no—
738#124—41no—
739#124—41no—
740#124—41no—
741#124C2×D411yescharacteristic
742#124C2×D411yescharacteristic
743#123—21no—
744#123—21no—
745#123—21no—
746#123—21no—
747#123—21no—
748#123—21no—
749#123—21no—
750#123—21no—
751#123—41no—
752#123—41no—
753#123—41no—
754#123—41no—
755#123—41no—
756#123—41no—
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—21no—
766C22⋊Q8—21no—
767C22⋊Q8—21no—
768C22⋊Q8—41no—
769C22⋊Q8—41no—
770C22⋊Q8—41no—
771C22⋊Q8C2×D411yescharacteristic
772C22⋊Q8C2×D411yescharacteristic
773#121—21no—
774#121—21no—
775#121—21no—
776#121—21no—
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#121C2×D411yescharacteristic
806#121C2×D411yescharacteristic
807#121C2×D411yescharacteristic
808#121C2×D411yescharacteristic
809#121C2×D411yescharacteristic
810#121C2×D411yescharacteristic
811#120—21no—
812#120—21no—
813#120—21no—
814#120—21no—
815#120—41no—
816#120—41no—
817C4×Q8—21no—
818C4×Q8—21no—
819C4×Q8—21no—
820C4×Q8—21no—
821C4×Q8—21no—
822C4×Q8—21no—
823C4×Q8C2×D411yescharacteristic
824C4×Q8C2×D411yescharacteristic
825C4×Q8#4111yescharacteristic
826C4×Q8C2411yescharacteristic
827C4×D4—21no—
828C4×D4—21no—
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—21no—
848C4×D4—21no—
849C4×D4—41no—
850C4×D4—41no—
851C4×D4—41no—
852C4×D4—41no—
853C4×D4C2×D411yescharacteristic
854C4×D4C2×D411yescharacteristic
855C4×D4C2×D411yescharacteristic
856C4×D4C2×D411yescharacteristic
857C4×D4C2×D411yescharacteristic
858C4×D4C2×D411yescharacteristic
859C4×D4#4111yescharacteristic
860C4×D4#4111yescharacteristic
861C4×D4#4111yescharacteristic
862C4×D4C2411yescharacteristic
863C4×D4C2411yescharacteristic
864C4×D4C2411yescharacteristic
865#117—21no—
866#117—21no—
867#117—21no—
868#117—21no—
869#117—21no—
870#117—21no—
871#117—41no—
872#117C2×D411yescharacteristic
873#117C2×D411yescharacteristic
874#117C2×D411yescharacteristic
875#117C2×D411yescharacteristic
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—41no—
879C2×C4⋊C4C2×D411yescharacteristic
880C2×C22⋊C4—21no—
881C2×C22⋊C4—41no—
882C2×C22⋊C4—41no—
883C2×C42—21no—
884C2×C42C2411yescharacteristic
885C2×C42C2411yescharacteristic
886C2×C42C2411yescharacteristic
887#107—21no—
888#107—21no—
889#107—21no—
890#107—21no—
891#107—21no—
892#107—21no—
893#107—21no—
894#107—21no—
895#107—21no—
896#107—21no—
897#106—21no—
898#106—21no—
899#106—21no—
900#106—21no—
901#106—21no—
902#106—21no—
903#106—21no—
904#106—21no—
905#106—21no—
906#106—21no—
907#106—21no—
908#106—21no—
909C4⋊C8—21no—
910C4⋊C8—21no—
911C4⋊C8—21no—
912C4⋊C8—21no—
913C4⋊C8—21no—
914C4⋊C8—21no—
915C4⋊C8—21no—
916C4⋊C8—21no—
917C4⋊C8—21no—
918C4⋊C8—21no—
919C4⋊C8—21no—
920C4⋊C8C2×D411yescharacteristic
921C4⋊C8C2×D411yescharacteristic
922C4⋊C8C2×D411yescharacteristic
923C4⋊C8C2×D411yescharacteristic
924C4⋊C8C2×D411yescharacteristic
925C4⋊C8C2×D411yescharacteristic
926C4⋊C8C2411yescharacteristic
927C4⋊C8C2411yescharacteristic
928C4⋊C8C2411yescharacteristic
929C4⋊C8C2411yescharacteristic
930C4⋊C8C2411yescharacteristic
931C4⋊C8C2411yescharacteristic
932C4⋊C8C2411yescharacteristic
933C4⋊C8C2411yescharacteristic
934C4⋊C8C2411yescharacteristic
935C4⋊C8C2411yescharacteristic
936C4⋊C8C2411yescharacteristic
937C4⋊C8C2411yescharacteristic
938#103—21no—
939#103—21no—
940#103—21no—
941#103—21no—
942#103—21no—
943#103—21no—
944#103—21no—
945#103—21no—
946#103—21no—
947#103—21no—
948#103—21no—
949#103—21no—
950#103—21no—
951#103—21no—
952#102—21no—
953#102—21no—
954#102—21no—
955#102—21no—
956#102—21no—
957#102—21no—
958#102—21no—
959#102—21no—
960#102—21no—
961#102—21no—
962#102—21no—
963#102—21no—
964#102—21no—
965#102—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—
990C22⋊C8—21no—
991C22⋊C8—21no—
992C22⋊C8—21no—
993C22⋊C8—21no—
994C22⋊C8—21no—
995C22⋊C8—21no—
996C22⋊C8—21no—
997C22⋊C8—21no—
998C22⋊C8—21no—
999C22⋊C8—21no—
1000C22⋊C8—21no—
1001C22⋊C8—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⋊C8C2×D411yescharacteristic
1014C22⋊C8C2×D411yescharacteristic
1015C22⋊C8C2×D411yescharacteristic
1016C22⋊C8C2×D411yescharacteristic
1017C22⋊C8C2×D411yescharacteristic
1018C22⋊C8C2×D411yescharacteristic
1019#97—21no—
1020#97—21no—
1021#97—21no—
1022#97—21no—
1023#97—21no—
1024#97—21no—
1025#97C2×D411yescharacteristic
1026#97C2×D411yescharacteristic
1027#97C2×D411yescharacteristic
1028#97C2×D411yescharacteristic
1029C4×C8—21no—
1030C4×C8—21no—
1031C4×C8—21no—
1032C4×C8—21no—
1033C4×C8—21no—
1034C4×C8—21no—
1035C4×C8—21no—
1036C4×C8—21no—
1037C4×C8—21no—
1038C4×C8C2×D411yescharacteristic
1039C4×C8C2×D411yescharacteristic
1040C4×C8C2411yescharacteristic
1041C4×C8C2411yescharacteristic
1042C4×C8C2411yescharacteristic
1043C4×C8C2411yescharacteristic
1044C24—21no—
1045C24—41no—
1046#41—41no—
1047#41—41no—
1048#41—41no—
1049#41—41no—
1050#41—81no—
1051#41—81no—
1052#41—81no—
1053#41—81no—
1054#41—81no—
1055#41—81no—
1056#41—81no—
1057#41—81no—
1058#41—81no—
1059#41—81no—
1060#41—161no—
1061#41—161no—
1062#41—161no—
1063#41—161no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—41no—
1072C2×Q8—161no—
1073C2×Q8#12111yescharacteristic
1074C2×Q8C22×D411yescharacteristic
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
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—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—161no—
1113C2×D4#12111yescharacteristic
1114C2×D4#12111yescharacteristic
1115C2×D4#12111yescharacteristic
1116C2×D4C22×D411yescharacteristic
1117C2×D4C22×D411yescharacteristic
1118C2×D4C22×D411yescharacteristic
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—81no—
1136C22×C4—81no—
1137C22×C4C22×D411yescharacteristic
1138C22×C4C22×D411yescharacteristic
1139C22×C4C22×D411yescharacteristic
1140C22×C4C22×D411yescharacteristic
1141C22×C4C22×D411yescharacteristic
1142C22×C4C22×D411yescharacteristic
1143C22×C4C2×#4111yescharacteristic
1144C22×C4C2×#4111yescharacteristic
1145C22×C4C2×#4111yescharacteristic
1146Q16—81no—
1147SD16—81no—
1148SD16—81no—
1149SD16—81no—
1150SD16—81no—
1151SD16—81no—
1152SD16—81no—
1153SD16—81no—
1154SD16—81no—
1155D8—81no—
1156D8—81no—
1157D8—81no—
1158D8—81no—
1159D8—81no—
1160D8—81no—
1161D8—81no—
1162D8—81no—
1163D8—81no—
1164D8—81no—
1165D8—81no—
1166D8—81no—
1167D8—81no—
1168M16—41no—
1169M16—41no—
1170M16—41no—
1171M16—41no—
1172M16—42no—
1173M16—42no—
1174M16—81no—
1175M16—81no—
1176M16—81no—
1177M16—81no—
1178M16—81no—
1179M16—81no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—41no—
1193C2×C8—41no—
1194C2×C8—42no—
1195C2×C8—81no—
1196C2×C8—81no—
1197C2×C8—81no—
1198C2×C8—81no—
1199C2×C8—81no—
1200C2×C8—81no—
1201C2×C8—81no—
1202C2×C8—81no—
1203C2×C8—81no—
1204C2×C8—81no—
1205C2×C8C22×D411yescharacteristic
1206C2×C8C22×D411yescharacteristic
1207C2×C8C22×D411yescharacteristic
1208C2×C8C22×D411yescharacteristic
1209C2×C8C22×D411yescharacteristic
1210C2×C8C22×D411yescharacteristic
1211C2×C8C22×D411yescharacteristic
1212C2×C8C22×D411yescharacteristic
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4#12111yescharacteristic
1243C4⋊C4#12111yescharacteristic
1244C4⋊C4#12111yescharacteristic
1245C4⋊C4#12111yescharacteristic
1246C4⋊C4#12111yescharacteristic
1247C4⋊C4#12111yescharacteristic
1248C4⋊C4C22×D411yescharacteristic
1249C4⋊C4C22×D411yescharacteristic
1250C4⋊C4C22×D411yescharacteristic
1251C4⋊C4C22×D411yescharacteristic
1252C22⋊C4—21no—
1253C22⋊C4—21no—
1254C22⋊C4—21no—
1255C22⋊C4—21no—
1256C22⋊C4—21no—
1257C22⋊C4—21no—
1258C22⋊C4—21no—
1259C22⋊C4—21no—
1260C22⋊C4—21no—
1261C22⋊C4—21no—
1262C22⋊C4—21no—
1263C22⋊C4—21no—
1264C22⋊C4—21no—
1265C22⋊C4—21no—
1266C22⋊C4—21no—
1267C22⋊C4—21no—
1268C22⋊C4—21no—
1269C22⋊C4—21no—
1270C22⋊C4—21no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4#12111yescharacteristic
1289C22⋊C4#12111yescharacteristic
1290C22⋊C4#12111yescharacteristic
1291C22⋊C4#12111yescharacteristic
1292C22⋊C4#12111yescharacteristic
1293C22⋊C4#12111yescharacteristic
1294C42—21no—
1295C42—21no—
1296C42—21no—
1297C42—41no—
1298C42—41no—
1299C42—41no—
1300C42C22×D411yescharacteristic
1301C42C22×D411yescharacteristic
1302C42C22×D411yescharacteristic
1303C42C22×D411yescharacteristic
1304C42C22×D411yescharacteristic
1305C42C22×D411yescharacteristic
1306C42C2×#4111yescharacteristic
1307C42C2×#4111yescharacteristic
1308C42C2×#4111yescharacteristic
1309C42C2511yescharacteristic
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—42no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—81no—
1318C23—81no—
1319C23—82no—
1320C23—161no—
1321C23—161no—
1322C23C2×#12111yescharacteristic
1323C23C2×#12111yescharacteristic
1324C23C2×#12111yescharacteristic
1325Q8—21no—
1326Q8—21no—
1327Q8—41no—
1328Q8—41no—
1329Q8—41no—
1330Q8—41no—
1331Q8—41no—
1332Q8—81no—
1333Q8—81no—
1334Q8—81no—
1335Q8—81no—
1336Q8—81no—
1337Q8—161no—
1338D4—21no—
1339D4—21no—
1340D4—21no—
1341D4—21no—
1342D4—21no—
1343D4—21no—
1344D4—41no—
1345D4—41no—
1346D4—41no—
1347D4—42no—
1348D4—42no—
1349D4—41no—
1350D4—41no—
1351D4—41no—
1352D4—41no—
1353D4—41no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—81no—
1362D4—81no—
1363D4—81no—
1364D4—81no—
1365D4—81no—
1366D4—81no—
1367D4—81no—
1368D4—82no—
1369D4—81no—
1370D4—81no—
1371D4—81no—
1372D4—81no—
1373D4—81no—
1374D4—81no—
1375D4—82no—
1376D4—161no—
1377D4—161no—
1378D4—161no—
1379D4—161no—
1380D4—161no—
1381D4—161no—
1382D4—161no—
1383D4—161no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—42no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—81no—
1417C2×C4—81no—
1418C2×C4—81no—
1419C2×C4—82no—
1420C2×C4—81no—
1421C2×C4—161no—
1422C2×C4—161no—
1423C2×C4—161no—
1424C2×C4—161no—
1425C2×C4—161no—
1426C2×C4—161no—
1427C2×C4—161no—
1428C2×C4C2×#12111yescharacteristic
1429C2×C4C2×#12111yescharacteristic
1430C2×C4C2×#12111yescharacteristic
1431C2×C4C2×#12111yescharacteristic
1432C2×C4C2×#12111yescharacteristic
1433C2×C4C2×#12111yescharacteristic
1434C2×C4C2×#12111yescharacteristic
1435C2×C4C2×#12111yescharacteristic
1436C2×C4C2×#12111yescharacteristic
1437C2×C4C23×D411yescharacteristic
1438C2×C4C23×D411yescharacteristic
1439C2×C4C22×#4111yescharacteristic
1440C8—21no—
1441C8—21no—
1442C8—21no—
1443C8—21no—
1444C8—21no—
1445C8—21no—
1446C8—21no—
1447C8—21no—
1448C8—41no—
1449C8—41no—
1450C8—41no—
1451C8—41no—
1452C8—41no—
1453C8—41no—
1454C8—41no—
1455C8—41no—
1456C8—41no—
1457C8—41no—
1458C8—41no—
1459C8—41no—
1460C22—21no—
1461C22—21no—
1462C22—21no—
1463C22—21no—
1464C22—21no—
1465C22—21no—
1466C22—21no—
1467C22—21no—
1468C22—21no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—162no—
1488C22—322no—
1489C22C22×#12111yescharacteristic
1490C4—21no—
1491C4—21no—
1492C4—21no—
1493C4—21no—
1494C4—21no—
1495C4—21no—
1496C4—21no—
1497C4—21no—
1498C4—21no—
1499C4—21no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—81no—
1506C4—81no—
1507C4—81no—
1508C4—81no—
1509C4—81no—
1510C4#358411yescharacteristic
1511C4#358411yescharacteristic
1512C4#358411yescharacteristic
1513C4#358511yescharacteristic
1514C2—41no—
1515C2—41no—
1516C2—41no—
1517C2—81no—
1518C2—81no—
1519C2—81no—
1520C2—161no—
1521C2—161no—
1522C2—161no—
1523C2#6043011yescharacteristic
1524C2#6045311yescharacteristic
1525C2#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. #62546C2semidirect
2. #60990C2semidirect
3. #60989C2semidirect
4. #60321C2semidirect
5. #19591C2semidirect
6. #19585C2semidirect
7. #19582C2semidirect
8. #19576C2semidirect
9. #19562C2semidirect
10. #19561C2semidirect
11. #19557C2semidirect
12. #19554C2semidirect
13. #19455C2semidirect
14. #19448C2semidirect
15. #19394C2semidirect
16. #19389C2semidirect
17. #19382C2semidirect
18. #19380C2semidirect
19. #19370C2semidirect
20. #19369C2semidirect
21. #19283C2semidirect
22. #19278C2semidirect
23. #19248C2semidirect
24. #19247C2semidirect
25. #19236C2semidirect
26. #19234C2semidirect
27. #19142C2semidirect
28. #19128C2semidirect
29. #17831C2semidirect
30. #17726C2semidirect
31. #17724C2semidirect
53. #3238C22semidirect
56. #3231C22semidirect
58. #3227C22semidirect
59. #3226C22semidirect
63. #3214C22semidirect
64. #3212C22semidirect
66. #3207C22semidirect
68. #3205C22semidirect
73. #3184C22semidirect
74. #3182C22semidirect
80. #3141C22semidirect
81. #3138C22semidirect
87. #3116C22semidirect
90. #3109C22semidirect
92. #3106C22semidirect
93. #3101C22semidirect
96. #2994C22semidirect
98. #2989C22semidirect
102. #2979C22semidirect
105. #2972C22semidirect
107. #2969C22semidirect
110. C8×#41C22semidirect
112. #2935C22semidirect
116. C2×#436C22semidirect
119. #1704C22semidirect
120. #1703C22semidirect
121. #1703C22semidirect
122. #1703C22semidirect
123. #1702C22semidirect
126. #1701C22semidirect
127. #1699C22semidirect
128. #1699C22semidirect
129. #1698C22semidirect
130. #1698C22semidirect
135. #1697C22semidirect
136. #1697C22semidirect
137. #1697C22semidirect
138. #1697C22semidirect
139. #1696C22semidirect
140. #1695C22semidirect
141. #1695C22semidirect
142. #1695C22semidirect
143. #1692C22semidirect
144. #1691C22semidirect
145. #1688C22semidirect
148. #1687C22semidirect
149. #1686C22semidirect
150. #1685C22semidirect
151. #1684C22semidirect
152. #1683C22semidirect
153. #1683C22semidirect
154. #1683C22semidirect
155. #1682C22semidirect
158. #1681C22semidirect
159. #1680C22semidirect
160. #1679C22semidirect
161. #1678C22semidirect
162. #1678C22semidirect
163. #1678C22semidirect
168. #1677C22semidirect
169. #1677C22semidirect
170. #1677C22semidirect
171. #1676C22semidirect
172. #1675C22semidirect
173. #1675C22semidirect
174. #1675C22semidirect
175. #1671C22semidirect
176. #1671C22semidirect
177. #1668C22semidirect
180. #1667C22semidirect
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. #1554C22semidirect
196. #1554C22semidirect
198. #1553C22semidirect
200. #1551C22semidirect
201. #1551C22semidirect
202. #1551C22semidirect
203. #1550C22semidirect
204. #1548C22semidirect
205. #1547C22semidirect
206. #1545C22semidirect
208. #1543C22semidirect
209. #1543C22semidirect
210. #1543C22semidirect
211. #1542C22semidirect
212. #1542C22semidirect
213. #1542C22semidirect
214. C2×#333C22semidirect
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
#625462
#609902
#609892
#603212
#195912
#195852
#195822
#195762
#195622
#195612
#195572
#195542
#194552
#194482
#193942
#193892
#193822
#193802
#193702
#193692
#192832
#192782
#192482
#192472
#192362
#192342
#191422
#191282
#178312
#177262
#177242