Finite Group Databasebeta

← #25117460

Subgroups — #25117460

Order 11008.

996 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19143941C211yesmaximal, characteristic
2#19143502C211yesmaximal, characteristic, complemented
3#19143140C211yesmaximal, characteristic, complemented
4#19143139C211yesmaximal, characteristic, complemented
5#19135425C211yesmaximal, characteristic, complemented
6#19135264C211yesmaximal, characteristic, complemented
7#19135263C211yesmaximal, characteristic, complemented
8#19135099C211yesmaximal, characteristic, complemented
9#19135098C211yesmaximal, characteristic, complemented
10#19134978C211yesmaximal, characteristic, complemented
11#19134835C211yesmaximal, characteristic, complemented
12#19134832C211yesmaximal, characteristic, complemented
13#19134408C211yesmaximal, characteristic, complemented
14#19134407C211yesmaximal, characteristic, complemented
15C43×#2956C211yesmaximal, characteristic, complemented
16#14583735C2211yescharacteristic
17#14583697C2211yescharacteristic
18#14583665C2211yescharacteristic
19#14583445C2211yescharacteristic
20#41×Dic43C2211yescharacteristic
21C4×#10621898C2211yescharacteristic
22#14583080C412yescomplemented
23#14583075C412yescomplemented
24#14583070C412yescomplemented
25#14583065C412yescomplemented
26#14583019—22no—
27#14583014—22no—
28#14582947C2211yescharacteristic, complemented
29#14582922C2211yescharacteristic, complemented
30#14582916C2211yescharacteristic
31#14582915—22no—
32#14582915C2211yescharacteristic
33#14582915C2211yescharacteristic
34#14582915C2211yescharacteristic
35#14582914—22no—
36C2×#13063253C2211yescharacteristic
37C2×#13063252C2211yescharacteristic
38C2×#13063252C2211yescharacteristic, complemented
39C2×#13063251—22no—
40C2×#13063251C2211yescharacteristic
41C2×#13063251C2211yescharacteristic
42C2×#13063251C2211yescharacteristic
43#104×D43—22no—
44#14582881C2211yescharacteristic
45#14582873C2211yescharacteristic, complemented
46M16×Dic43C2211yescharacteristic, complemented
47#14582745C2211yescharacteristic, complemented
48#14582671C2211yescharacteristic, complemented
49#14582670C2211yescharacteristic, complemented
50#14582660C2211yescharacteristic, complemented
51#14582660C2211yescharacteristic, complemented
52#14582660C2211yescharacteristic, complemented
53#14582659C2211yescharacteristic, complemented
54C43×#575C2211yescharacteristic
55C43×#568C2211yescharacteristic
56C43×#568C2211yescharacteristic, complemented
57C43×#444—22no—
58C43×#443—22no—
59C43×#430C2211yescharacteristic, complemented
60C2×#104×C43C2211yescharacteristic
61C2×#104×C43C2211yescharacteristic, complemented
62C4×M16×C43C2211yescharacteristic, complemented
63#13063373—21no—
64#13063372—21no—
65#13063372C2×C412yes—
66#13063371—21no—
67#13063371C2×C412yes—
68#13063370—21no—
69#13063370—41no—
70C2×#10621898—22no—
71C2×#10621898C2311yescharacteristic
72C2×#10621898C2311yescharacteristic
73#41×D43—22no—
74#41×D43—41no—
75#13063356C2×C412yescomplemented
76#13063355—21no—
77#13063351C2×C412yescomplemented
78#13063350—21no—
79#13063345—22no—
80#13063333—41no—
81#13063331—22no—
82C2×#10621877C2311yescharacteristic
83C2×#10621877C2311yescharacteristic
84M16×D43—22no—
85#13063323C2×C411yescharacteristic, complemented
86#13063321C2×C411yescharacteristic, complemented
87#13063314C2×C411yescharacteristic, complemented
88#13063312C2×C411yescharacteristic, complemented
89#13063297—41no—
90Q8×Dic43—21no—
91C4×Dic86—21no—
92C4×D172—21no—
93D4×Dic43—21no—
94D4×Dic43—41no—
95C4×C22⋊D43—41no—
96C4×C22⋊D43—41no—
97#13063284—21no—
98#13063284C2311yescharacteristic
99#13063284C2311yescharacteristic
100#13063282—21no—
101C2×C4×Dic43—21no—
102C2×C4×Dic43C2311yescharacteristic
103C2×C4×Dic43C2311yescharacteristic
104C42×D43—21no—
105#13063260—22no—
106Dic43⋊C8—41no—
107#13063253—21no—
108#13063253—21no—
109#13063252—22no—
110#13063252—21no—
111#13063252—21no—
112#13063252C2×C412yescomplemented
113#13063252C2×C412yescomplemented
114#13063251—22no—
115#13063251—22no—
116#13063251—22no—
117#13063251—21no—
118#13063251—21no—
119#13063251C2×C412yescomplemented
120#13063251C2×C412yescomplemented
121#13063251D412yescomplemented
122#13063251D412yescomplemented
123#13063243C2×C412yescomplemented
124#13063241C2×C412yescomplemented
125#13063240—41no—
126#13063235—21no—
127C8×Dic43—21no—
128C43⋊#95—41no—
129C2×#41×C43C2311yescharacteristic
130C2×#41×C43C2311yescharacteristic
131#137×C43—21no—
132#137×C43C2×C412yescomplemented
133AGL(1,ℤ/8)×C43—21no—
134AGL(1,ℤ/8)×C43C2×C412yescomplemented
135#135×C43—22no—
136#131×C43—22no—
137#131×C43—22no—
138#131×C43—22no—
139#131×C43—41no—
140C2×M16×C43—22no—
141C2×M16×C43—41no—
142C2×M16×C43C2311yescharacteristic
143C2×M16×C43C2311yescharacteristic
144C2×M16×C43C2311yescharacteristic
145C2×M16×C43C2311yescharacteristic
146C2×C42×C43C2311yescharacteristic
147#108×C43—22no—
148#104×C43—21no—
149#104×C43—21no—
150#104×C43D412yescomplemented
151#104×C43D412yescomplemented
152#97×C43—21no—
153C4×C8×C43—21no—
154#41×C43—21no—
155#41×C43—21no—
156#41×C43—21no—
157#41×C43—21no—
158#41×C43—21no—
159#41×C43—21no—
160#41×C43C22×C412yes—
161#41×C43C2×D412yes—
162C2×Q8×C43C22×C411yescharacteristic
163C2×Q8×C43#4111yescharacteristic
164C2×D4×C43—21no—
165C2×D4×C43—21no—
166C2×D4×C43C22×C411yescharacteristic
167C2×D4×C43#4111yescharacteristic
168C22×C4×C43—21no—
169C22×C4×C43—21no—
170C22×C4×C43—21no—
171C22×C4×C43C2411yescharacteristic
172C2×C22⋊D43—21no—
173C2×C22⋊D43—21no—
174C2×C22⋊D43—41no—
175C2×C22⋊D43—42no—
176C22×Dic43—21no—
177C22×Dic43—21no—
178C22×Dic43—41no—
179#10621902—22no—
180#10621902—41no—
181Q8×D43—22no—
182Q8×D43—41no—
183#10621900—22no—
184#10621900—41no—
185#10621900—42no—
186#10621900—42no—
187D4×D43—22no—
188D4×D43—42no—
189D4×D43—42no—
190D4×D43—41no—
191#10621898—21no—
192#10621898—21no—
193#10621898—21no—
194#10621898—21no—
195#10621898—21no—
196#10621898—21no—
197#10621898—22no—
198#10621898—22no—
199#10621898—42no—
200#10621898—42no—
201#10621898C22×C412yes—
202#10621898C2×D412yes—
203C2×D172—22no—
204C2×D172C22×C411yescharacteristic
205C2×D172#4111yescharacteristic
206C2×C4×D43—21no—
207C2×C4×D43—21no—
208C2×C4×D43—41no—
209C2×C4×D43—42no—
210C2×Dic86—22no—
211C2×Dic86C22×C411yescharacteristic
212C2×Dic86#4111yescharacteristic
213Q16×C43—22no—
214SD16×C43—22no—
215SD16×C43—22no—
216D8×C43—22no—
217M16×C43—21no—
218M16×C43—21no—
219M16×C43—21no—
220M16×C43—21no—
221M16×C43—21no—
222M16×C43—42no—
223M16×C43—42no—
224M16×C43C22×C412yes—
225M16×C43C2×D412yes—
226M16×C43C2×D412yes—
227C2×C8×C43—21no—
228C2×C8×C43—21no—
229C2×C8×C43—21no—
230C2×C8×C43—21no—
231C2×C8×C43—42no—
232C2×C8×C43—42no—
233C42×C43—21no—
234C42×C43C2×D411yescharacteristic
235C42×C43C2×D411yescharacteristic
236C22⋊Dic43—21no—
237C22⋊Dic43—21no—
238C22⋊Dic43—41no—
239C22⋊Dic43—41no—
240#10621885—22no—
241#10621884—22no—
242#10621883—22no—
243#10621882—22no—
244(C2×D43)⋊C4—41no—
245(C2×D43)⋊C4—41no—
246C4⋊Dic43—21no—
247C4⋊Dic43—21no—
248C4⋊Dic43—41no—
249Dic43⋊C4—41no—
250Dic43⋊C4—41no—
251C4×Dic43—21no—
252C4×Dic43—21no—
253C4×Dic43—21no—
254C4×Dic43—21no—
255C4×Dic43—41no—
256C4×Dic43—41no—
257C4×Dic43C22×C411yescharacteristic
258C4×Dic43C22×C411yescharacteristic
259C4×Dic43C2×D411yescharacteristic
260C4×Dic43C2×D411yescharacteristic
261#10621877—21no—
262#10621877—21no—
263#10621877—21no—
264#10621877C22×C412yes—
265C2×C43⋊C8—21no—
266C2×C43⋊C8—21no—
267#10621872—42no—
268C8×D43—42no—
269C23×C43—21no—
270C23×C43—21no—
271C23×C43H(5,𝔽2)11yescharacteristic
272C22×D43—21no—
273C22×D43—21no—
274C22×D43—42no—
275Q8×C43—21no—
276Q8×C43—21no—
277Q8×C43—21no—
278Q8×C43C4×D412yes—
279D4×C43—22no—
280D4×C43—22no—
281D4×C43—21no—
282D4×C43—21no—
283D4×C43—21no—
284D4×C43—41no—
285D4×C43—41no—
286D4×C43C4×D412yes—
287C2×C4×C43—21no—
288C2×C4×C43—22no—
289C2×C4×C43—22no—
290C2×C4×C43—21no—
291C2×C4×C43—21no—
292C2×C4×C43—21no—
293C2×C4×C43—41no—
294C2×C4×C43—41no—
295C2×C4×C43—81no—
296C2×C4×C43C23×C411yescharacteristic
297C2×C4×C43C22×D411yescharacteristic
298C2×C4×C43C22×D411yescharacteristic
299C2×C4×C43C2×#4111yescharacteristic
300C2×C4×C43C2×#4111yescharacteristic
301C2×C4×C43H(5,𝔽2)11yescharacteristic
302C22⋊D43—22no—
303C22⋊D43—22no—
304C22⋊D43—42no—
305C22⋊D43—42no—
306C22⋊D43—41no—
307C22⋊D43—41no—
308C22⋊D43—82no—
309C2×Dic43—21no—
310C2×Dic43—21no—
311C2×Dic43—21no—
312C2×Dic43—21no—
313C2×Dic43—21no—
314C2×Dic43—21no—
315C2×Dic43—42no—
316C2×Dic43—41no—
317C2×Dic43—41no—
318C2×Dic43—81no—
319C2×Dic43—81no—
320C2×Dic43—82no—
321D172—21no—
322D172—21no—
323D172—21no—
324D172—42no—
325D172C4×D412yes—
326C4×D43—22no—
327C4×D43—22no—
328C4×D43—42no—
329C4×D43—42no—
330C4×D43—41no—
331C4×D43—41no—
332C4×D43—82no—
333Dic86—21no—
334Dic86—21no—
335Dic86—21no—
336Dic86—42no—
337Dic86C4×D412yes—
338C8×C43—22no—
339C8×C43—22no—
340C8×C43—22no—
341C8×C43—41no—
342C43⋊C8—22no—
343C43⋊C8—41no—
344#22898—431nomaximal, Sylow
345C22×C43—22no—
346C22×C43—41no—
347C22×C43—41no—
348C22×C43—81no—
349C22×C43—81no—
350C22×C43#51811yescharacteristic
351C22×C43#54611yescharacteristic
352C22×C43#54611yescharacteristic
353C2×D43—22no—
354C2×D43—41no—
355C2×D43—81no—
356C2×D43—81no—
357C2×D43—162no—
358C4×C43—22no—
359C4×C43—41no—
360C4×C43—41no—
361C4×C43—41no—
362C4×C43C2×C4×D411yescharacteristic
363C4×C43C2×C4×D411yescharacteristic
364C4×C43D4211yescharacteristic
365C4×C43#55111yescharacteristic
366Dic43—22no—
367Dic43—41no—
368Dic43—41no—
369Dic43—41no—
370Dic43—41no—
371Dic43—41no—
372Dic43—81no—
373Dic43—81no—
374#3018—431no—
375#2956—431no—
376#2956D4311yescharacteristic, complemented
377#2901—431no—
378#2901—431no—
379#1963—431no—
380#1932—431no—
381#1932—431no—
382#1906—431no—
383#1906—431no—
384#1884—431no—
385#1861—431no—
386#1861—431no—
387#1759—431no—
388#1759—431no—
389C2×C43—21no—
390C2×C43—21no—
391C2×C43—21no—
392C2×C43—42no—
393C2×C43—81no—
394C2×C43#235811yescharacteristic
395D43—42no—
396D43—81no—
397#585—431no—
398#575—431no—
399#575C2×D4311yescharacteristic
400#568—431no—
401#568C2×D4311yescharacteristic
402#568C2×D4311yescharacteristic, complemented
403#532—431no—
404C4×#41—431no—
405C4×#41—431no—
406#456—432no—
407#455—432no—
408#454—432no—
409#453—432no—
410#444—22no—
411#444—862no—
412#443—22no—
413#443—862no—
414#430—431no—
415#430C2×D4311yescharacteristic, complemented
416#423—431no—
417#421—431no—
418#421—431no—
419#421—431no—
420#421—431no—
421#421—862no—
422#421—862no—
423C2×#104—431no—
424C2×#104—431no—
425C2×#104—431no—
426C2×#104—431no—
427C2×#104—431no—
428C2×#104—431no—
429C2×#104—862no—
430C2×#104—862no—
431C2×#104C2×D4311yescharacteristic
432C2×#104C2×D4311yescharacteristic, complemented
433#413—431no—
434#410—431no—
435C4×M16—431no—
436C4×M16C2×D4311yescharacteristic, complemented
437#376—431no—
438#344—431no—
439#344—431no—
440#339—431no—
441#339—431no—
442#339—431no—
443#339—431no—
444C43#2289811yescharacteristic, complemented, Sylow
4452−1+4—432no—
4462−1+4—861no—
4472−1+4—861no—
448H(5,𝔽2)—432no—
449H(5,𝔽2)—861no—
450H(5,𝔽2)—861no—
451H(5,𝔽2)—1721no—
452C2×#41—431no—
453C2×#41—431no—
454C2×#41—862no—
455C2×#41—862no—
456C2×#41—1721no—
457C2×#41C22×D4311yescharacteristic
458C2×#41C22×D4311yescharacteristic
459#137—21no—
460#137—432no—
461#137—861no—
462#137C4×D4312yescomplemented
463AGL(1,ℤ/8)—21no—
464AGL(1,ℤ/8)—432no—
465AGL(1,ℤ/8)—861no—
466AGL(1,ℤ/8)C4×D4312yescomplemented
467#135—22no—
468#135—862no—
469#131—22no—
470#131—22no—
471#131—22no—
472#131—41no—
473#131—862no—
474#131—1721no—
475C2×M16—22no—
476C2×M16—41no—
477C2×M16—431no—
478C2×M16—431no—
479C2×M16—862no—
480C2×M16C22×D4311yescharacteristic
481C2×M16C22×D4311yescharacteristic
482C2×M16C22×D4311yescharacteristic
483C2×M16C22×D4311yescharacteristic
484C4⋊Q8—431no—
485#127—431no—
486#124—431no—
487#124—431no—
488#121—1721no—
489C4×Q8—861no—
490C4×Q8—861no—
491C4×D4—861no—
492C4×D4—861no—
493C4×D4—1721no—
494C4×D4—1721no—
495C4×D4—1721no—
496#117—431no—
497#117—431no—
498#117—861no—
499#117—861no—
500C2×C42—431no—
501C2×C42—431no—
502C2×C42—861no—
503C2×C42—861no—
504C2×C42C22×D4311yescharacteristic
505#108—22no—
506#108—862no—
507C4⋊C8—1721no—
508#104—21no—
509#104—21no—
510#104—432no—
511#104—432no—
512#104—432no—
513#104—432no—
514#104—432no—
515#104—432no—
516#104—861no—
517#104—861no—
518#104—861no—
519#104—861no—
520#104—862no—
521#104—862no—
522#104—862no—
523#104—862no—
524#104—861no—
525#104—861no—
526#104C22⋊D4312yescomplemented
527#104C22⋊D4312yescomplemented
528#101—432no—
529#100—432no—
530#99—1721no—
531#97—21no—
532#97—861no—
533C4×C8—21no—
534C4×C8—861no—
535#95—1721no—
536#41—21no—
537#41—21no—
538#41—21no—
539#41—21no—
540#41—21no—
541#41—21no—
542#41—432no—
543#41—432no—
544#41—862no—
545#41—862no—
546#41—861no—
547#41—861no—
548#41—862no—
549#41—862no—
550#41—861no—
551#41—861no—
552#41—861no—
553#41—861no—
554#41—1722no—
555#41—1722no—
556#41—1722no—
557#41—1722no—
558#41—1721no—
559#41—1721no—
560#41C2×C4×D4312yes—
561#41C2×C22⋊D4312yes—
562C2×Q8—431no—
563C2×Q8—431no—
564C2×Q8—862no—
565C2×Q8—862no—
566C2×Q8—1721no—
567C2×Q8C2×C4×D4311yescharacteristic
568C2×Q8#1062189811yescharacteristic
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—431no—
572C2×D4—431no—
573C2×D4—862no—
574C2×D4—861no—
575C2×D4—862no—
576C2×D4—861no—
577C2×D4—1721no—
578C2×D4—1722no—
579C2×D4—1721no—
580C2×D4—1722no—
581C2×D4—1722no—
582C2×D4C2×C4×D4311yescharacteristic
583C2×D4#1062189811yescharacteristic
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—861no—
588C22×C4—861no—
589C22×C4—861no—
590C22×C4—861no—
591C22×C4—1722no—
592C22×C4—1721no—
593C22×C4—1721no—
594C22×C4C23×D4311yescharacteristic
595Q16—22no—
596Q16—862no—
597SD16—22no—
598SD16—22no—
599SD16—862no—
600SD16—862no—
601D8—22no—
602D8—862no—
603M16—21no—
604M16—21no—
605M16—21no—
606M16—21no—
607M16—21no—
608M16—42no—
609M16—42no—
610M16—432no—
611M16—861no—
612M16—861no—
613M16—861no—
614M16—1722no—
615M16C2×C4×D4312yes—
616M16D4×D4312yes—
617M16C2×C22⋊D4312yes—
618C2×C8—21no—
619C2×C8—21no—
620C2×C8—21no—
621C2×C8—21no—
622C2×C8—42no—
623C2×C8—42no—
624C2×C8—861no—
625C2×C8—861no—
626C2×C8—1722no—
627C4⋊C4—861no—
628C4⋊C4—861no—
629C4⋊C4—1721no—
630C4⋊C4—1721no—
631C4⋊C4—1721no—
632C22⋊C4—861no—
633C22⋊C4—861no—
634C22⋊C4—1721no—
635C22⋊C4—1721no—
636C22⋊C4—1721no—
637C22⋊C4—1721no—
638C42—21no—
639C42—431no—
640C42—431no—
641C42—431no—
642C42—431no—
643C42—861no—
644C42—861no—
645C42—861no—
646C42—861no—
647C42—1721no—
648C42—1721no—
649C42C2×C22⋊D4311yescharacteristic
650C42C2×C22⋊D4311yescharacteristic
651C23—21no—
652C23—21no—
653C23—861no—
654C23—861no—
655C23—1722no—
656C23#1306337111yescharacteristic
657Q8—21no—
658Q8—21no—
659Q8—21no—
660Q8—432no—
661Q8—861no—
662Q8—861no—
663Q8—861no—
664Q8—1722no—
665Q8C4×C22⋊D4312yes—
666D4—22no—
667D4—22no—
668D4—21no—
669D4—21no—
670D4—21no—
671D4—41no—
672D4—41no—
673D4—432no—
674D4—862no—
675D4—862no—
676D4—861no—
677D4—861no—
678D4—861no—
679D4—3442no—
680D4—1722no—
681D4—1722no—
682D4—1722no—
683D4—1721no—
684D4—1721no—
685D4C4×C22⋊D4312yes—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—81no—
695C2×C4—861no—
696C2×C4—862no—
697C2×C4—862no—
698C2×C4—861no—
699C2×C4—861no—
700C2×C4—861no—
701C2×C4—861no—
702C2×C4—861no—
703C2×C4—3442no—
704C2×C4—3442no—
705C2×C4—3441no—
706C2×C4—3441no—
707C2×C4—1722no—
708C2×C4—1722no—
709C2×C4—1722no—
710C2×C4—1721no—
711C2×C4—1721no—
712C2×C4—1721no—
713C2×C4—1721no—
714C2×C4C22×C4×D4311yescharacteristic
715C2×C4C2×D4×D4311yescharacteristic
716C2×C4C22×C22⋊D4311yescharacteristic
717C2×C4#41×D4311yescharacteristic
718C2×C4C2×#1062189811yescharacteristic
719C2×C4#1306337011yescharacteristic
720C8—22no—
721C8—22no—
722C8—22no—
723C8—41no—
724C8—862no—
725C8—1721no—
726C22—22no—
727C22—41no—
728C22—41no—
729C22—81no—
730C22—81no—
731C22—862no—
732C22—3441no—
733C22—3441no—
734C22—1721no—
735C22—6882no—
736C22#1458337111yescharacteristic
737C22#1458353711yescharacteristic
738C22#1458354511yescharacteristic
739C4—22no—
740C4—41no—
741C4—41no—
742C4—41no—
743C4—862no—
744C4—3441no—
745C4—3441no—
746C4—1721no—
747C4—1721no—
748C4—1721no—
749C4—1721no—
750C4—1721no—
751C4C4×D4×D4311yescharacteristic
752C4C2×C4×C22⋊D4311yescharacteristic
753C4D4×C22⋊D4311yescharacteristic
754C4#1458357811yescharacteristic
755C2—21no—
756C2—21no—
757C2—21no—
758C2—42no—
759C2—81no—
760C2—3441no—
761C2—1722no—
762C2#1913757211yescharacteristic
subgroupG/H
centerC4D4×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2956C2
socleC2×C43#2358
prime radical#19143941C2
cosocleC22×C4×C43C24
hypercenter#2956D43
hypocenterC43#22898
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C22×C4 ◁ #2956

Complements

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

NH ≅ G/Ntype
2. #19143502C2semidirect
3. #19143140C2semidirect
4. #19143139C2semidirect
5. #19135425C2semidirect
6. #19135264C2semidirect
7. #19135263C2semidirect
8. #19135099C2semidirect
9. #19135098C2semidirect
10. #19134978C2semidirect
11. #19134835C2semidirect
12. #19134832C2semidirect
13. #19134408C2semidirect
14. #19134407C2semidirect
15. C43×#2956C2semidirect
22. #14583080C4semidirect
23. #14583075C4semidirect
24. #14583070C4semidirect
25. #14583065C4semidirect
28. #14582947C22semidirect
29. #14582922C22semidirect
38. C2×#13063252C22semidirect
45. #14582873C22semidirect
46. M16×Dic43C22semidirect
47. #14582745C22semidirect
48. #14582671C22semidirect
49. #14582670C22semidirect
50. #14582660C22semidirect
51. #14582660C22semidirect
52. #14582660C22semidirect
53. #14582659C22semidirect
56. C43×#568C22semidirect
59. C43×#430C22semidirect
61. C2×#104×C43C22semidirect
62. C4×M16×C43C22semidirect
75. #13063356C2×C4semidirect
77. #13063351C2×C4semidirect
85. #13063323C2×C4semidirect
86. #13063321C2×C4semidirect
87. #13063314C2×C4semidirect
88. #13063312C2×C4semidirect
112. #13063252C2×C4semidirect
113. #13063252C2×C4semidirect
119. #13063251C2×C4semidirect
120. #13063251C2×C4semidirect
121. #13063251D4semidirect
122. #13063251D4semidirect
123. #13063243C2×C4semidirect
124. #13063241C2×C4semidirect
132. #137×C43C2×C4semidirect
134. AGL(1,ℤ/8)×C43C2×C4semidirect
150. #104×C43D4semidirect
151. #104×C43D4semidirect
376. #2956D43semidirect
402. #568C2×D43semidirect
415. #430C2×D43semidirect
432. C2×#104C2×D43semidirect
436. C4×M16C2×D43semidirect
444. C43#22898semidirect
462. #137C4×D43semidirect
466. AGL(1,ℤ/8)C4×D43semidirect
526. #104C22⋊D43semidirect
527. #104C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
#191439412
#191435022
#191431402
#191431392
#191354252
#191352642
#191352632
#191350992
#191350982
#191349782
#191348352
#191348322
#191344082
#191344072
C43×#29562
#2289843