Finite Group Databasebeta

← #6366816

Subgroups — #6366816

Order 512.

1547 conjugacy classes of subgroups.

The subgroup lattice has 1509 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62552C211yesmaximal, characteristic, complemented
2#62370C211yesmaximal, characteristic, complemented
3#62206C211yesmaximal, characteristic, complemented
4#62055C211yesmaximal, characteristic, complemented
5#20280C211yesmaximal, characteristic, complemented
6#20274C211yesmaximal, characteristic, complemented
7#20264C211yesmaximal, characteristic, complemented
8#20264C211yesmaximal, characteristic, complemented
9#20258C211yesmaximal, characteristic, complemented
10#20228C211yesmaximal, characteristic, complemented
11#20217C211yesmaximal, characteristic, complemented
12#20211C211yesmaximal, characteristic, complemented
13#20205C211yesmaximal, characteristic, complemented
14#20188C211yesmaximal, characteristic, complemented
15#20177C211yesmaximal, characteristic, complemented
16#20174C211yesmaximal, characteristic, complemented
17#19844C211yesmaximal, characteristic, complemented
18#19842C211yesmaximal, characteristic, complemented
19#19799C211yesmaximal, characteristic, complemented
20#19789C211yesmaximal, characteristic, complemented
21#19678C211yesmaximal, characteristic, complemented
22#19591C211yesmaximal, characteristic, complemented
23#19581C211yesmaximal, characteristic, complemented
24#19229C211yesmaximal, characteristic, complemented
25C2×#1698C211yesmaximal, characteristic, complemented
26#18721C211yesmaximal, characteristic, complemented
27#18712C211yesmaximal, characteristic, complemented
28#18581C211yesmaximal, characteristic, complemented
29#18564C211yesmaximal, characteristic, complemented
30#18092C211yesmaximal, characteristic, complemented
31#17939C211yesmaximal, characteristic, complemented
32#3544C2211yescharacteristic
33#3543C2211yescharacteristic
34#3523C2211yescharacteristic
35#3522C2211yescharacteristic, complemented
36#3401—21no—
37#3400C2211yescharacteristic
38#3400C2211yescharacteristic, complemented
39#3397C2211yescharacteristic, complemented
40#3392C2211yescharacteristic
41#3388—21no—
42#3387C2211yescharacteristic, complemented
43#3385C2211yescharacteristic, complemented
44#3384C2211yescharacteristic, complemented
45Q8×Q16C2211yescharacteristic, complemented
46#3376—21no—
47#3375C2211yescharacteristic
48#3375C2211yescharacteristic, complemented
49#3373C2211yescharacteristic, complemented
50#3372C2211yescharacteristic, complemented
51#3371—21no—
52#3369C2211yescharacteristic, complemented
53#3368C2211yescharacteristic
54#3368C2211yescharacteristic, complemented
55#3366C2211yescharacteristic
56#3365C2211yescharacteristic
57#3362C2211yescharacteristic
58#3361C2211yescharacteristic
59#3361C2211yescharacteristic, complemented
60#3357C2211yescharacteristic, complemented
61#3343—21no—
62#3338C2211yescharacteristic, complemented
63#3334—21no—
64#3333C2211yescharacteristic
65#3333C2211yescharacteristic, complemented
66#3325C2211yescharacteristic
67#3324C2211yescharacteristic
68#3310—21no—
69#3310—21no—
70#3308—21no—
71#3306—21no—
72#3305C2211yescharacteristic
73#3305C2211yescharacteristic, complemented
74#3304C2211yescharacteristic
75#3300—21no—
76#3296—21no—
77#3296—21no—
78#3295C2211yescharacteristic
79#3294—21no—
80D4×SD16—21no—
81D4×SD16C2211yescharacteristic
82#3278C2211yescharacteristic
83#3266—21no—
84#3262—21no—
85#3260—21no—
86#3250—21no—
87#3248C2211yescharacteristic
88#3248C2211yescharacteristic, complemented
89#3247C2211yescharacteristic
90#3247C2211yescharacteristic
91#3246—21no—
92#3243—21no—
93#3241—21no—
94#3238C2211yescharacteristic
95#3226C2211yescharacteristic, complemented
96#3224—21no—
97#3222—21no—
98#3217C2211yescharacteristic
99#3208C2211yescharacteristic
100#3181—21no—
101#3180—21no—
102#3179—21no—
103#3168C2211yescharacteristic
104#3167C2211yescharacteristic, complemented
105#3151C2211yescharacteristic
106#3139C2211yescharacteristic, complemented
107#3136—21no—
108C2×#486C2211yescharacteristic
109#3126—21no—
110#3124—21no—
111#3108C2211yescharacteristic
112#3083—21no—
113C2×#477C2211yescharacteristic, complemented
114#3043—21no—
115C2×#460C2211yescharacteristic
116#2994C2211yescharacteristic
117#2994C2211yescharacteristic, complemented
118#2966C2211yescharacteristic
119C2×#446C2211yescharacteristic, complemented
120#1719C2211yescharacteristic
121#1719C2211yescharacteristic, complemented
122#1717C2211yescharacteristic
123#1717C2211yescharacteristic
124#1717C2211yescharacteristic, complemented
125#1717C2211yescharacteristic, complemented
126#1714C2211yescharacteristic
127#1714C2211yescharacteristic, complemented
128#1702C2211yescharacteristic
129#1701C2211yescharacteristic, complemented
130#1698C2211yescharacteristic
131#1698C2211yescharacteristic
132#1698C2211yescharacteristic
133#1698C2211yescharacteristic
134#1698C2211yescharacteristic, complemented
135#1698C2211yescharacteristic, complemented
136#1698C2211yescharacteristic, complemented
137#1698C2211yescharacteristic, complemented
138#1698C2211yescharacteristic, complemented
139#1697C2211yescharacteristic, complemented
140#1696C2211yescharacteristic, complemented
141#1695C2211yescharacteristic, complemented
142#1692C2211yescharacteristic, complemented
143#1691C2211yescharacteristic, complemented
144#1686C2211yescharacteristic, complemented
145#1686C2211yescharacteristic, complemented
146#1685C2211yescharacteristic
147#1685C2211yescharacteristic, complemented
148#1684C2211yescharacteristic, complemented
149#1683C2211yescharacteristic, complemented
150#1682C2211yescharacteristic, complemented
151#1682C2211yescharacteristic, complemented
152#1681C2211yescharacteristic
153#1681C2211yescharacteristic, complemented
154#1678C2211yescharacteristic, complemented
155#1677C2211yescharacteristic, complemented
156#1676C2211yescharacteristic, complemented
157#1675C2211yescharacteristic, complemented
158#1666C2211yescharacteristic
159#1665C2211yescharacteristic, complemented
160#1646C2211yescharacteristic, complemented
161#1646C2211yescharacteristic, complemented
162#1645C2211yescharacteristic, complemented
163#1645C2211yescharacteristic, complemented
164#1644C2211yescharacteristic, complemented
165#1644C2211yescharacteristic, complemented
166#1643C2211yescharacteristic, complemented
167#1643C2211yescharacteristic, complemented
168#1638C2211yescharacteristic, complemented
169#1638C2211yescharacteristic, complemented
170#1637C2211yescharacteristic, complemented
171#1637C2211yescharacteristic, complemented
172#1636C2211yescharacteristic, complemented
173#1636C2211yescharacteristic, complemented
174#1636C2211yescharacteristic, complemented
175#1636C2211yescharacteristic, complemented
176#1631C2211yescharacteristic
177#1631C2211yescharacteristic
178#1630C2211yescharacteristic
179#1629C2211yescharacteristic
180#1623C2211yescharacteristic
181#1623C2211yescharacteristic, complemented
182#1622C2211yescharacteristic
183#1622C2211yescharacteristic, complemented
184#1621C2211yescharacteristic
185#1621C2211yescharacteristic
186#1621C2211yescharacteristic
187#1621C2211yescharacteristic, complemented
188#1620C2211yescharacteristic
189#1620C2211yescharacteristic
190#1620C2211yescharacteristic, complemented
191#1619C2211yescharacteristic
192#1593C2211yescharacteristic, complemented
193#1593C2211yescharacteristic, complemented
194#1592C2211yescharacteristic, complemented
195#1592C2211yescharacteristic, complemented
196#1592C2211yescharacteristic, complemented
197#1592C2211yescharacteristic, complemented
198#1584C2211yescharacteristic, complemented
199#1584C2211yescharacteristic, complemented
200#1584C2211yescharacteristic, complemented
201#1584C2211yescharacteristic, complemented
202#1582C2211yescharacteristic, complemented
203#1582C2211yescharacteristic, complemented
204#1581C2211yescharacteristic, complemented
205#1581C2211yescharacteristic, complemented
206SD16⋊C8C2211yescharacteristic, complemented
207SD16⋊C8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209C2×#335C2211yescharacteristic, complemented
210#1552C2211yescharacteristic, complemented
211#1551C2211yescharacteristic, complemented
212C2×#333C2211yescharacteristic, complemented
213C2×#331C2211yescharacteristic
214#1491C2211yescharacteristic, complemented
215#1483C2211yescharacteristic
216#1483C2211yescharacteristic
217#1483C2211yescharacteristic, complemented
218#1451C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×AGL(1,ℤ/8)—41no—
221C22×SD16—21no—
222C22×SD16—21no—
223#563—41no—
224#560—41no—
225#559—21no—
226#559C2311yescharacteristic
227#559C2311yescharacteristic
228Q82C2311yescharacteristic
229Q82C2311yescharacteristic
230#557—21no—
231#557C2311yescharacteristic
232#557C2311yescharacteristic
233#556—21no—
234#556C2311yescharacteristic
235#555C2311yescharacteristic
236#554—21no—
237#554C2311yescharacteristic
238#554C2311yescharacteristic
239#554C2311yescharacteristic
240#552—21no—
241#552—21no—
242#552—21no—
243#552—41no—
244#550C2311yescharacteristic
245#550C2311yescharacteristic
246#550C2311yescharacteristic
247D4×Q8—21no—
248D4×Q8C2311yescharacteristic
249#548—21no—
250#547—21no—
251#547—21no—
252#547—21no—
253#547—41no—
254#546—21no—
255#546—21no—
256D42—21no—
257D42—21no—
258D42C2311yescharacteristic
259#544—21no—
260#544—21no—
261#542—21no—
262#542—21no—
263#542—21no—
264#542—41no—
265#541—21no—
266#541—41no—
267#540—21no—
268#540—21no—
269#536—41no—
270#535—21no—
271#535—21no—
272#534—41no—
273#533—21no—
274#533C2311yescharacteristic
275#532—21no—
276#532C2311yescharacteristic
277C2×C4⋊Q8C2311yescharacteristic
278C2×#127C2311yescharacteristic
279#529—21no—
280#529—21no—
281#529C2311yescharacteristic
282#529C2311yescharacteristic
283#529C2311yescharacteristic
284#520—21no—
285#519—21no—
286C2×C4×Q8C2311yescharacteristic
287#501—21no—
288#501—21no—
289#501—21no—
290#501—21no—
291#500—21no—
292#500C2311yescharacteristic
293#500C2311yescharacteristic
294#499D411yescharacteristic
295#498C2311yescharacteristic
296#497—21no—
297#497—21no—
298#496—21no—
299#496—21no—
300#496—41no—
301#495D411yescharacteristic
302#493C2311yescharacteristic
303#493C2311yescharacteristic
304#492—21no—
305#492C2311yescharacteristic
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#492C2311yescharacteristic
310#491—21no—
311#491—41no—
312#490—21no—
313#490—21no—
314#490—21no—
315#490—21no—
316#489—21no—
317#489—21no—
318#489—21no—
319#489—21no—
320#489—21no—
321#488—21no—
322#488—21no—
323#488—21no—
324#488D411yescharacteristic
325#488D411yescharacteristic
326#487C2311yescharacteristic
327#487C2311yescharacteristic
328#487C2311yescharacteristic
329#487C2311yescharacteristic
330#487C2311yescharacteristic
331#486—21no—
332#486—21no—
333#486—21no—
334#486C2311yescharacteristic
335#486C2311yescharacteristic
336#486C2311yescharacteristic
337#486C2311yescharacteristic
338#486C2311yescharacteristic
339#486C2311yescharacteristic
340#486C2311yescharacteristic
341#486C2311yescharacteristic
342#486C2311yescharacteristic
343#485—21no—
344#484—21no—
345#484—21no—
346#483—21no—
347#483D411yescharacteristic
348#482—21no—
349#482—21no—
350#482—21no—
351#482—21no—
352#482—21no—
353#481—21no—
354#480—21no—
355#480—21no—
356#480—21no—
357#480—21no—
358#480—21no—
359#480—21no—
360#480D411yescharacteristic
361#479—21no—
362#479—21no—
363#479—21no—
364#479—21no—
365#479—21no—
366#479D411yescharacteristic
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#477—21no—
378#477—21no—
379#477—21no—
380#477—21no—
381#477C2311yescharacteristic
382#477C2311yescharacteristic
383#477C2311yescharacteristic
384#477C2311yescharacteristic
385#477C2311yescharacteristic
386#477C2311yescharacteristic
387#477C2311yescharacteristic
388#477C2311yescharacteristic
389#476—21no—
390#476—21no—
391#476—21no—
392#476C2311yescharacteristic
393#476C2311yescharacteristic
394#476C2311yescharacteristic
395#476C2311yescharacteristic
396#475—21no—
397#475—21no—
398#475C2311yescharacteristic
399#475C2311yescharacteristic
400#474—21no—
401#474—21no—
402#474—21no—
403#474—21no—
404#474—21no—
405#474C2311yescharacteristic
406#474C2311yescharacteristic
407#469—21no—
408#468—21no—
409#468—21no—
410#468—21no—
411#468—21no—
412#468—21no—
413#467—21no—
414#467—21no—
415#467—21no—
416#467D411yescharacteristic
417#466—21no—
418#466—21no—
419#466—21no—
420#466—21no—
421#466D411yescharacteristic
422#465—21no—
423#465—21no—
424#465—21no—
425#465—21no—
426#465—21no—
427#465—21no—
428#465—21no—
429#465—21no—
430#465—21no—
431#465D411yescharacteristic
432#465D411yescharacteristic
433#464—21no—
434#464—21no—
435#464—21no—
436#464—21no—
437#464—21no—
438#464—21no—
439#464—21no—
440#464—21no—
441#464D411yescharacteristic
442#464D411yescharacteristic
443#463—21no—
444#463—21no—
445#463—21no—
446#463—21no—
447#463—21no—
448#463—21no—
449#462C2311yescharacteristic
450#462C2311yescharacteristic
451#461—21no—
452#461—21no—
453#461—21no—
454#461—21no—
455#461C2311yescharacteristic
456#461C2311yescharacteristic
457#460—21no—
458#460—21no—
459#460—21no—
460#460—21no—
461#460—21no—
462#460—21no—
463#460—21no—
464#460—21no—
465#460—21no—
466#460C2311yescharacteristic
467#460C2311yescharacteristic
468#460C2311yescharacteristic
469#460C2311yescharacteristic
470#460C2311yescharacteristic
471#460C2311yescharacteristic
472#460C2311yescharacteristic
473#460C2311yescharacteristic
474#459—21no—
475#459C2311yescharacteristic
476#459C2311yescharacteristic
477#459C2311yescharacteristic
478#459C2311yescharacteristic
479#452—21no—
480#452—21no—
481#452—21no—
482#452—21no—
483#451D411yescharacteristic
484#450—21no—
485#450—21no—
486#450—21no—
487#450—21no—
488#450—21no—
489#450—21no—
490#449—21no—
491#449—21no—
492#448—21no—
493#448—21no—
494#448D411yescharacteristic
495#447—21no—
496#447—21no—
497#446—21no—
498#446—21no—
499#446C2311yescharacteristic
500#446C2311yescharacteristic
501#446C2311yescharacteristic
502#446C2311yescharacteristic
503#446C2311yescharacteristic
504#446C2311yescharacteristic
505#446C2311yescharacteristic
506C8×Q8C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508C8×Q8C2311yescharacteristic
509#442—21no—
510#442—21no—
511#442—21no—
512#441—21no—
513#441—21no—
514#440—21no—
515#440—21no—
516#440—21no—
517#440—21no—
518#440—21no—
519#440—21no—
520#440—21no—
521#440—21no—
522#440—21no—
523C4×Q16—21no—
524C4×Q16C2311yescharacteristic
525C4×Q16C2311yescharacteristic
526C4×Q16C2311yescharacteristic
527C4×SD16—21no—
528C4×SD16—21no—
529C4×SD16—21no—
530C4×SD16—21no—
531C4×SD16—21no—
532C4×SD16C2311yescharacteristic
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×SD16C2311yescharacteristic
536C4×D8—21no—
537C4×D8—21no—
538C4×D8C2311yescharacteristic
539#436C2311yescharacteristic
540#436C2311yescharacteristic
541#436C2311yescharacteristic
542#435—21no—
543#435—21no—
544#435—21no—
545C8×D4—21no—
546C8×D4—21no—
547C8×D4—21no—
548C8×D4C2311yescharacteristic
549C8×D4C2311yescharacteristic
550C8×D4C2311yescharacteristic
551#433—21no—
552#433—21no—
553#433—21no—
554#432C2311yescharacteristic
555#431C2311yescharacteristic
556#428—21no—
557C2×#107—21no—
558C2×#107—21no—
559#424—21no—
560#424—21no—
561C2×C4⋊C8—21no—
562C2×C4⋊C8C2311yescharacteristic
563C2×C4⋊C8C2311yescharacteristic
564C2×C4⋊C8C2311yescharacteristic
565#419—41no—
566#418—21no—
567#418—21no—
568#417—21no—
569#417—21no—
570#416—21no—
571#416—21no—
572#416—21no—
573C2×#103—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577C2×#102—21no—
578#405—21no—
579C4×M16C2311yescharacteristic
580C2×#97—21no—
581C2×C4×C8C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#335C2311yescharacteristic
587#335C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
594#333C2311yescharacteristic
595#333C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612Q8⋊C8C2311yescharacteristic
613Q8⋊C8C2311yescharacteristic
614Q8⋊C8C2311yescharacteristic
615Q8⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625#322C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—41no—
631C2×#41—41no—
632C22×Q8—21no—
633C22×Q8—21no—
634C22×Q8C2×D411yescharacteristic
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—41no—
641#137—82no—
642AGL(1,ℤ/8)—84no—
643C2×Q16—21no—
644C2×Q16—21no—
645C2×Q16C2×D411yescharacteristic
646C2×Q16C2×D411yescharacteristic
647C2×Q16C2×D411yescharacteristic
648C2×SD16—21no—
649C2×SD16—21no—
650C2×SD16—21no—
651C2×SD16—21no—
652C2×SD16—21no—
653C2×SD16—21no—
654C2×SD16—21no—
655C2×SD16—21no—
656C2×SD16—21no—
657C2×SD16—21no—
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—82no—
667C2×SD16—82no—
668C2×SD16C2×D411yescharacteristic
669C2×SD16C2×D411yescharacteristic
670C2×SD16C2×D411yescharacteristic
671C2×SD16C2×D411yescharacteristic
672C2×D8—21no—
673C2×D8—21no—
674C2×D8—21no—
675C2×D8—21no—
676C2×D8—41no—
677C2×D8—41no—
678C2×D8C2×D411yescharacteristic
679C2×M16—21no—
680C2×M16—21no—
681C2×M16—21no—
682C2×M16—21no—
683C22×C8—21no—
684C22×C8—21no—
685C22×C8—21no—
686C22×C8—21no—
687C22×C8—21no—
688C22×C8—21no—
689C22×C8C2×D411yescharacteristic
690C22×C8C2×D411yescharacteristic
691C4⋊Q8—21no—
692C4⋊Q8—21no—
693C4⋊Q8—21no—
694C4⋊Q8—21no—
695C4⋊Q8—21no—
696C4⋊Q8—21no—
697C4⋊Q8—21no—
698C4⋊Q8—21no—
699C4⋊Q8—21no—
700C4⋊Q8—21no—
701C4⋊Q8—41no—
702C4⋊Q8—41no—
703C4⋊Q8—41no—
704C4⋊Q8—41no—
705C4⋊Q8C2411yescharacteristic
706C4⋊Q8C2411yescharacteristic
707C4⋊Q8C2411yescharacteristic
708C4⋊Q8C2411yescharacteristic
709C4⋊Q8C2411yescharacteristic
710#127—21no—
711#127—21no—
712#127—21no—
713#127—21no—
714#127—21no—
715#127—21no—
716#127C2411yescharacteristic
717#127C2411yescharacteristic
718#127C2411yescharacteristic
719#126—21no—
720#126—21no—
721#126—21no—
722#126—41no—
723#126—41no—
724#126—41no—
725#126—41no—
726#126—41no—
727#126—41no—
728#126—41no—
729#125—21no—
730#125—21no—
731#125—21no—
732#125—21no—
733#125—21no—
734#125—21no—
735#125—41no—
736#125—41no—
737#125—41no—
738#125—41no—
739#125—41no—
740#125—41no—
741#125—41no—
742#125C2×D411yescharacteristic
743#125C2×D411yescharacteristic
744#125C2×D411yescharacteristic
745#124—21no—
746#124—21no—
747#124—21no—
748#124—21no—
749#124—21no—
750#124—21no—
751#124—41no—
752#124—41no—
753#124—41no—
754#124—41no—
755#124C2×D411yescharacteristic
756#124C2×D411yescharacteristic
757#124C2×D411yescharacteristic
758#123—21no—
759#123—21no—
760#123—21no—
761#123—41no—
762#123—41no—
763#123—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773#123—41no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8C2×D411yescharacteristic
795C22⋊Q8C2×D411yescharacteristic
796C22⋊Q8C2×D411yescharacteristic
797#121—21no—
798#121—21no—
799#121—21no—
800#121—21no—
801#121—21no—
802#121—21no—
803#121—21no—
804#121—21no—
805#121—21no—
806#121—41no—
807#121—41no—
808#121—41no—
809#121—41no—
810#121—41no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121—41no—
815#121—41no—
816#121C2×D411yescharacteristic
817#121C2×D411yescharacteristic
818#121C2×D411yescharacteristic
819#120—41no—
820#120—41no—
821#120—41no—
822#120—41no—
823#120—41no—
824#120—41no—
825C4×Q8—21no—
826C4×Q8—21no—
827C4×Q8—21no—
828C4×Q8—21no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8—21no—
834C4×Q8—21no—
835C4×Q8—21no—
836C4×Q8—21no—
837C4×Q8—21no—
838C4×Q8—41no—
839C4×Q8—41no—
840C4×Q8C2×D411yescharacteristic
841C4×Q8C2×D411yescharacteristic
842C4×Q8C2411yescharacteristic
843C4×Q8C2411yescharacteristic
844C4×Q8C2411yescharacteristic
845C4×Q8C2411yescharacteristic
846C4×Q8C2411yescharacteristic
847C4×D4—21no—
848C4×D4—21no—
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4—41no—
866C4×D4—41no—
867C4×D4C2411yescharacteristic
868C4×D4C2411yescharacteristic
869C4×D4C2411yescharacteristic
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#117—41no—
879#117—41no—
880#117—41no—
881#117—41no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—41no—
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C22⋊C4—41no—
891C2×C42—21no—
892C2×C42C2411yescharacteristic
893#107—21no—
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#107C2×D411yescharacteristic
908#107C2×D411yescharacteristic
909#107C2×D411yescharacteristic
910#107C2×D411yescharacteristic
911#106—21no—
912#106—21no—
913#106—21no—
914#106—21no—
915#106—21no—
916#106—21no—
917#106—21no—
918#106—21no—
919#106C2×D411yescharacteristic
920#106C2×D411yescharacteristic
921#106C2×D411yescharacteristic
922#106C2×D411yescharacteristic
923C4⋊C8—21no—
924C4⋊C8—21no—
925C4⋊C8—21no—
926C4⋊C8—21no—
927C4⋊C8—21no—
928C4⋊C8—21no—
929C4⋊C8—21no—
930C4⋊C8—21no—
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8C2×D411yescharacteristic
937C4⋊C8C2×D411yescharacteristic
938C4⋊C8C2411yescharacteristic
939C4⋊C8C2411yescharacteristic
940C4⋊C8C2411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946#103—21no—
947#103—21no—
948#103—21no—
949#103—21no—
950#103—21no—
951#103—21no—
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—41no—
963#103—41no—
964#103—41no—
965#103—41no—
966#103C2×D411yescharacteristic
967#103C2×D411yescharacteristic
968#103C2×D411yescharacteristic
969#103C2×D411yescharacteristic
970#103C2×D411yescharacteristic
971#103C2×D411yescharacteristic
972#103C2×D411yescharacteristic
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
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—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—21no—
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
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
1027#97—21no—
1028#97—21no—
1029#97—21no—
1030#97—21no—
1031#97—21no—
1032#97—21no—
1033#97—21no—
1034#97—21no—
1035#97—21no—
1036C4×C8—21no—
1037C4×C8—21no—
1038C4×C8—21no—
1039C4×C8C2×D411yescharacteristic
1040C4×C8C2×D411yescharacteristic
1041C4×C8C2411yescharacteristic
1042C4×C8C2411yescharacteristic
1043C4×C8C2411yescharacteristic
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C24—41no—
1048C24—41no—
1049#41—42no—
1050#41—82no—
1051#41—81no—
1052#41—81no—
1053#41—81no—
1054#41—81no—
1055#41—81no—
1056#41—162no—
1057#41—162no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—41no—
1065C2×Q8—41no—
1066C2×Q8—41no—
1067C2×Q8—41no—
1068C2×Q8—41no—
1069C2×Q8—41no—
1070C2×Q8—42no—
1071C2×Q8—82no—
1072C2×Q8—81no—
1073C2×Q8C22×D411yescharacteristic
1074C2×Q8C22×D411yescharacteristic
1075C2×Q8C22×D411yescharacteristic
1076C2×Q8C22×D411yescharacteristic
1077C2×Q8C22×D411yescharacteristic
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—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—82no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—162no—
1113C2×D4C22×D411yescharacteristic
1114C2×D4C22×D411yescharacteristic
1115C2×D4C22×D411yescharacteristic
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4C22×D411yescharacteristic
1133C22×C4C22×D411yescharacteristic
1134C22×C4H(5,𝔽2)11yescharacteristic
1135Q16—41no—
1136Q16—41no—
1137Q16—41no—
1138Q16—81no—
1139Q16—81no—
1140SD16—41no—
1141SD16—41no—
1142SD16—41no—
1143SD16—41no—
1144SD16—42no—
1145SD16—42no—
1146SD16—42no—
1147SD16—81no—
1148SD16—81no—
1149SD16—81no—
1150SD16—81no—
1151SD16—81no—
1152SD16—81no—
1153SD16—81no—
1154SD16—81no—
1155SD16—81no—
1156SD16—81no—
1157SD16—81no—
1158SD16—81no—
1159SD16—81no—
1160SD16—82no—
1161SD16—82no—
1162D8—41no—
1163D8—81no—
1164D8—81no—
1165D8—81no—
1166D8—81no—
1167D8—82no—
1168D8—82no—
1169M16—42no—
1170M16—81no—
1171M16—81no—
1172M16—81no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—41no—
1184C2×C8—41no—
1185C2×C8—81no—
1186C2×C8—81no—
1187C2×C8—81no—
1188C2×C8—81no—
1189C2×C8—81no—
1190C2×C8—81no—
1191C2×C8C22×D411yescharacteristic
1192C2×C8C22×D411yescharacteristic
1193C2×C8C22×D411yescharacteristic
1194C2×C8C22×D411yescharacteristic
1195C2×C8C22×D411yescharacteristic
1196C2×C8C22×D411yescharacteristic
1197C2×C8C22×D411yescharacteristic
1198C2×C8C22×D411yescharacteristic
1199C4⋊C4—21no—
1200C4⋊C4—21no—
1201C4⋊C4—21no—
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—21no—
1205C4⋊C4—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
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—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
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—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4C22×D411yescharacteristic
1249C4⋊C4C22×D411yescharacteristic
1250C4⋊C4C22×D411yescharacteristic
1251C4⋊C4C22×D411yescharacteristic
1252C4⋊C4C22×D411yescharacteristic
1253C4⋊C4C22×D411yescharacteristic
1254C4⋊C4C22×D411yescharacteristic
1255C4⋊C4C22×D411yescharacteristic
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—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C42—21no—
1293C42—21no—
1294C42—21no—
1295C42—21no—
1296C42—21no—
1297C42—21no—
1298C42—21no—
1299C42—41no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42C22×D411yescharacteristic
1307C42C22×D411yescharacteristic
1308C42H(5,𝔽2)11yescharacteristic
1309C42C2511yescharacteristic
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—82no—
1317C23—161no—
1318C23—161no—
1319C23—161no—
1320C23—161no—
1321C23—161no—
1322C23D4211yescharacteristic
1323Q8—21no—
1324Q8—21no—
1325Q8—21no—
1326Q8—21no—
1327Q8—21no—
1328Q8—21no—
1329Q8—21no—
1330Q8—21no—
1331Q8—21no—
1332Q8—21no—
1333Q8—41no—
1334Q8—41no—
1335Q8—41no—
1336Q8—41no—
1337Q8—81no—
1338Q8—81no—
1339Q8—81no—
1340Q8—81no—
1341Q8—82no—
1342Q8—161no—
1343Q8—161no—
1344Q8—161no—
1345D4—21no—
1346D4—21no—
1347D4—21no—
1348D4—21no—
1349D4—21no—
1350D4—21no—
1351D4—42no—
1352D4—42no—
1353D4—42no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—81no—
1367D4—81no—
1368D4—81no—
1369D4—82no—
1370D4—82no—
1371D4—161no—
1372D4—161no—
1373D4—161no—
1374D4—161no—
1375D4—161no—
1376D4—161no—
1377D4—161no—
1378D4—161no—
1379D4—161no—
1380D4—161no—
1381D4—161no—
1382C2×C4—22no—
1383C2×C4—21no—
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—42no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—81no—
1413C2×C4—82no—
1414C2×C4—82no—
1415C2×C4—82no—
1416C2×C4—161no—
1417C2×C4—161no—
1418C2×C4—161no—
1419C2×C4—161no—
1420C2×C4—161no—
1421C2×C4—161no—
1422C2×C4—161no—
1423C2×C4—161no—
1424C2×C4D4211yescharacteristic
1425C2×C4D4211yescharacteristic
1426C2×C4D4211yescharacteristic
1427C2×C4C23×D411yescharacteristic
1428C2×C4C23×D411yescharacteristic
1429C2×C4C2×H(5,𝔽2)11yescharacteristic
1430C8—21no—
1431C8—21no—
1432C8—21no—
1433C8—21no—
1434C8—21no—
1435C8—21no—
1436C8—21no—
1437C8—21no—
1438C8—41no—
1439C8—41no—
1440C8—41no—
1441C8—41no—
1442C8—41no—
1443C8—41no—
1444C8—41no—
1445C8—41no—
1446C8—41no—
1447C8—41no—
1448C22—21no—
1449C22—21no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—322no—
1469C22—322no—
1470C22#328812yes—
1471C22C2×D4211yescharacteristic
1472C4—21no—
1473C4—21no—
1474C4—21no—
1475C4—21no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4#358411yescharacteristic
1495C4#358511yescharacteristic
1496C4#358611yescharacteristic
1497C4#358611yescharacteristic
1498C2—22no—
1499C2—81no—
1500C2—81no—
1501C2—81no—
1502C2—161no—
1503C2—161no—
1504C2—161no—
1505C2#6106211yescharacteristic
1506C2#6109611yescharacteristic
1507C2C2×#328811yescharacteristic
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. #62552C2semidirect
2. #62370C2semidirect
3. #62206C2semidirect
4. #62055C2semidirect
5. #20280C2semidirect
6. #20274C2semidirect
7. #20264C2semidirect
8. #20264C2semidirect
9. #20258C2semidirect
10. #20228C2semidirect
11. #20217C2semidirect
12. #20211C2semidirect
13. #20205C2semidirect
14. #20188C2semidirect
15. #20177C2semidirect
16. #20174C2semidirect
17. #19844C2semidirect
18. #19842C2semidirect
19. #19799C2semidirect
20. #19789C2semidirect
21. #19678C2semidirect
22. #19591C2semidirect
23. #19581C2semidirect
24. #19229C2semidirect
25. C2×#1698C2semidirect
26. #18721C2semidirect
27. #18712C2semidirect
28. #18581C2semidirect
29. #18564C2semidirect
30. #18092C2semidirect
31. #17939C2semidirect
35. #3522C22semidirect
38. #3400C22semidirect
39. #3397C22semidirect
42. #3387C22semidirect
43. #3385C22semidirect
44. #3384C22semidirect
45. Q8×Q16C22semidirect
48. #3375C22semidirect
49. #3373C22semidirect
50. #3372C22semidirect
52. #3369C22semidirect
54. #3368C22semidirect
59. #3361C22semidirect
60. #3357C22semidirect
62. #3338C22semidirect
65. #3333C22semidirect
73. #3305C22semidirect
88. #3248C22semidirect
95. #3226C22semidirect
104. #3167C22semidirect
106. #3139C22semidirect
113. C2×#477C22semidirect
117. #2994C22semidirect
119. C2×#446C22semidirect
121. #1719C22semidirect
124. #1717C22semidirect
125. #1717C22semidirect
127. #1714C22semidirect
129. #1701C22semidirect
134. #1698C22semidirect
135. #1698C22semidirect
136. #1698C22semidirect
137. #1698C22semidirect
138. #1698C22semidirect
139. #1697C22semidirect
140. #1696C22semidirect
141. #1695C22semidirect
142. #1692C22semidirect
143. #1691C22semidirect
144. #1686C22semidirect
145. #1686C22semidirect
147. #1685C22semidirect
148. #1684C22semidirect
149. #1683C22semidirect
150. #1682C22semidirect
151. #1682C22semidirect
153. #1681C22semidirect
154. #1678C22semidirect
155. #1677C22semidirect
156. #1676C22semidirect
157. #1675C22semidirect
159. #1665C22semidirect
160. #1646C22semidirect
161. #1646C22semidirect
162. #1645C22semidirect
163. #1645C22semidirect
164. #1644C22semidirect
165. #1644C22semidirect
166. #1643C22semidirect
167. #1643C22semidirect
168. #1638C22semidirect
169. #1638C22semidirect
170. #1637C22semidirect
171. #1637C22semidirect
172. #1636C22semidirect
173. #1636C22semidirect
174. #1636C22semidirect
175. #1636C22semidirect
181. #1623C22semidirect
183. #1622C22semidirect
187. #1621C22semidirect
190. #1620C22semidirect
192. #1593C22semidirect
193. #1593C22semidirect
194. #1592C22semidirect
195. #1592C22semidirect
196. #1592C22semidirect
197. #1592C22semidirect
198. #1584C22semidirect
199. #1584C22semidirect
200. #1584C22semidirect
201. #1584C22semidirect
202. #1582C22semidirect
203. #1582C22semidirect
204. #1581C22semidirect
205. #1581C22semidirect
206. SD16⋊C8C22semidirect
207. SD16⋊C8C22semidirect
208. #1573C22semidirect
209. C2×#335C22semidirect
210. #1552C22semidirect
211. #1551C22semidirect
212. C2×#333C22semidirect
214. #1491C22semidirect
217. #1483C22semidirect
218. #1451C22semidirect

Maximal subgroups

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

subgroupindex
#625522
#623702
#622062
#620552
#202802
#202742
#202642
#202582
#202282
#202172
#202112
#202052
#201882
#201772
#201742
#198442
#198422
#197992
#197892
#196782
#195912
#195812
#192292
C2×#16982
#187212
#187122
#185812
#185642
#180922
#179392