Finite Group Databasebeta

← #25117462

Subgroups — #25117462

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#19143944C211yesmaximal, characteristic
2#19143502C211yesmaximal, characteristic, complemented
3#19143501C211yesmaximal, characteristic, complemented
4#19143142C211yesmaximal, characteristic, complemented
5#19135425C211yesmaximal, characteristic, complemented
6#19135267C211yesmaximal, characteristic, complemented
7#19135261C211yesmaximal, characteristic, complemented
8#19135096C211yesmaximal, characteristic, complemented
9#19135094C211yesmaximal, characteristic, complemented
10#19134975C211yesmaximal, characteristic, complemented
11#19134835C211yesmaximal, characteristic, complemented
12#19134833C211yesmaximal, characteristic, complemented
13#19134407C211yesmaximal, characteristic, complemented
14#19134405C211yesmaximal, characteristic, complemented
15C43×#2901C211yesmaximal, characteristic, complemented
16#14583697C2211yescharacteristic
17#14583697C2211yescharacteristic
18#14583666C2211yescharacteristic
19#14583665C2211yescharacteristic, complemented
20#14583445C2211yescharacteristic
21#41×Dic43C2211yescharacteristic
22#14583082C412yescomplemented
23#14583077C412yescomplemented
24#14583072C412yescomplemented
25#14583067C412yescomplemented
26#14583019—22no—
27#14583018—22no—
28#14583014—22no—
29#14583013—22no—
30#14582947C2211yescharacteristic, complemented
31#14582947C2211yescharacteristic, complemented
32#14582922C2211yescharacteristic, complemented
33#14582916—22no—
34#14582916C2211yescharacteristic
35#14582916C2211yescharacteristic
36C2×#13063253C2211yescharacteristic, complemented
37C2×#13063252—22no—
38C2×#13063252C2211yescharacteristic
39C2×#13063252C2211yescharacteristic
40C2×#13063252C2211yescharacteristic
41C2×#13063252C2211yescharacteristic
42C2×#13063251C2211yescharacteristic, complemented
43#14582883C2211yescharacteristic
44#14582872C2211yescharacteristic, complemented
45C4×#10621877C2211yescharacteristic, complemented
46M16×Dic43C2211yescharacteristic, complemented
47#14582745C2211yescharacteristic, complemented
48#14582670C2211yescharacteristic, complemented
49#14582669C2211yescharacteristic, complemented
50#14582660C2211yescharacteristic, complemented
51#14582659C2211yescharacteristic, complemented
52#14582658C2211yescharacteristic, complemented
53#14582658C2211yescharacteristic, complemented
54C43×#585C2211yescharacteristic
55C43×#568C2211yescharacteristic
56C4×#41×C43C2211yescharacteristic
57C43×#421—22no—
58C43×#421C2211yescharacteristic
59C43×#421C2211yescharacteristic
60C2×#104×C43—22no—
61C2×#104×C43C2211yescharacteristic
62C2×#104×C43C2211yescharacteristic
63C2×#10621898C2311yescharacteristic
64#13063356—21no—
65#13063356—21no—
66#13063355C2×C412yescomplemented
67#13063355C2×C412yescomplemented
68#13063351—21no—
69#13063351—21no—
70#13063350C2×C412yescomplemented
71#13063350C2×C412yescomplemented
72#13063345—22no—
73#13063345—22no—
74#13063333—22no—
75#13063332—22no—
76#13063332—41no—
77#13063331—22no—
78C2×#10621877—22no—
79C2×#10621877C2311yescharacteristic
80C2×#10621877C2311yescharacteristic
81C2×#10621877C2311yescharacteristic
82C2×#10621877C2311yescharacteristic
83M16×D43—41no—
84#13063323C2×C411yescharacteristic, complemented
85#13063321C2×C411yescharacteristic, complemented
86#13063314C2×C411yescharacteristic, complemented
87#13063312C2×C411yescharacteristic, complemented
88#13063297—41no—
89Q8×Dic43—21no—
90D4×Dic43—21no—
91D4×Dic43—41no—
92C4×C22⋊D43—41no—
93#13063284—21no—
94#13063284C2311yescharacteristic
95C2×C4×Dic43—21no—
96C2×C4×Dic43C2311yescharacteristic
97C2×C4×Dic43C2311yescharacteristic
98#13063260—22no—
99#13063260—22no—
100Dic43⋊C8—41no—
101#13063253—21no—
102#13063253—21no—
103#13063252—22no—
104#13063252—21no—
105#13063252—21no—
106#13063252—22no—
107#13063252C2×C412yescomplemented
108#13063252C2×C412yescomplemented
109#13063252C2×C412yescomplemented
110#13063252C2×C412yescomplemented
111#13063252D412yescomplemented
112#13063252D412yescomplemented
113#13063251—21no—
114#13063251—21no—
115#13063244C2×C412yescomplemented
116#13063242C2×C412yescomplemented
117#13063239—41no—
118#13063236—21no—
119#13063235—21no—
120C4×C43⋊C8—21no—
121C8×Dic43—21no—
122C43⋊#95—41no—
1232−1+4×C43—21no—
1242−1+4×C43—21no—
1252−1+4×C43C2×C412yes—
126H(5,𝔽2)×C43—21no—
127H(5,𝔽2)×C43—21no—
128H(5,𝔽2)×C43—41no—
129H(5,𝔽2)×C43C2×C412yes—
130C2×#41×C43—22no—
131C2×#41×C43—22no—
132C2×#41×C43—41no—
133C2×#41×C43C2311yescharacteristic
134C2×#41×C43C2311yescharacteristic
135C2×#41×C43C2311yescharacteristic
136#131×C43—22no—
137#131×C43—41no—
138C2×M16×C43—22no—
139C2×M16×C43C2311yescharacteristic
140C2×M16×C43C2311yescharacteristic
141C4×Q8×C43—21no—
142C4×D4×C43—21no—
143C4×D4×C43—41no—
144#117×C43—21no—
145#117×C43C2311yescharacteristic
146C2×C42×C43—21no—
147C2×C42×C43C2311yescharacteristic
148#104×C43—22no—
149#104×C43—22no—
150#104×C43—21no—
151#104×C43—21no—
152#104×C43D412yescomplemented
153#104×C43D412yescomplemented
154#41×C43—21no—
155#41×C43—21no—
156#41×C43—21no—
157#41×C43—21no—
158#41×C43—22no—
159#41×C43—22no—
160#41×C43—22no—
161#41×C43—22no—
162#41×C43—21no—
163#41×C43—21no—
164#41×C43—21no—
165#41×C43—21no—
166#41×C43—42no—
167#41×C43—42no—
168#41×C43—42no—
169#41×C43—42no—
170#41×C43—41no—
171#41×C43—41no—
172#41×C43C22×C412yes—
173#41×C43C22×C412yes—
174#41×C43C2×D412yes—
175#41×C43C2×D412yes—
176C2×Q8×C43—22no—
177C2×Q8×C43—22no—
178C2×Q8×C43—41no—
179C2×Q8×C43C22×C411yescharacteristic
180C2×Q8×C43#4111yescharacteristic
181C2×Q8×C43#4111yescharacteristic
182C2×D4×C43—21no—
183C2×D4×C43—21no—
184C2×D4×C43—21no—
185C2×D4×C43—22no—
186C2×D4×C43—22no—
187C2×D4×C43—42no—
188C2×D4×C43—42no—
189C2×D4×C43—42no—
190C2×D4×C43—41no—
191C2×D4×C43C22×C411yescharacteristic
192C2×D4×C43#4111yescharacteristic
193C2×D4×C43#4111yescharacteristic
194C22×C4×C43—21no—
195C22×C4×C43—21no—
196C22×C4×C43—21no—
197C22×C4×C43—21no—
198C22×C4×C43—41no—
199C22×C4×C43—42no—
200C22×C4×C43C2411yescharacteristic
201C2×C22⋊D43—21no—
202C2×C22⋊D43—41no—
203C22×Dic43—21no—
204C22×Dic43—21no—
205C22×Dic43—41no—
206#10621898—21no—
207#10621898—21no—
208#10621898—21no—
209#10621898—21no—
210C2×D172C22×C411yescharacteristic
211C2×C4×D43—21no—
212C2×Dic86C22×C411yescharacteristic
213M16×C43—21no—
214M16×C43—21no—
215M16×C43—21no—
216M16×C43—42no—
217M16×C43C2×D412yes—
218C2×C8×C43—21no—
219C2×C8×C43—21no—
220C2×C8×C43—42no—
221C4⋊C4×C43—21no—
222C4⋊C4×C43—41no—
223C22⋊C4×C43—21no—
224C22⋊C4×C43—41no—
225C42×C43—21no—
226C42×C43—21no—
227C42×C43—41no—
228C42×C43C2×D411yescharacteristic
229C42×C43C2×D411yescharacteristic
230C22⋊Dic43—21no—
231C22⋊Dic43—41no—
232C22⋊Dic43—41no—
233#10621885—22no—
234#10621885—22no—
235#10621884—22no—
236#10621884—22no—
237#10621883—22no—
238#10621883—22no—
239#10621882—22no—
240#10621882—22no—
241(C2×D43)⋊C4—41no—
242C4⋊Dic43—21no—
243C4⋊Dic43—41no—
244Dic43⋊C4—41no—
245C4×Dic43—21no—
246C4×Dic43—21no—
247C4×Dic43—21no—
248C4×Dic43—41no—
249C4×Dic43C22×C411yescharacteristic
250C4×Dic43C22×C411yescharacteristic
251C4×Dic43C2×D411yescharacteristic
252C4×Dic43C2×D411yescharacteristic
253#10621877—21no—
254#10621877—21no—
255#10621877—21no—
256#10621877—21no—
257#10621877—21no—
258#10621877—42no—
259#10621877C22×C412yes—
260#10621877C22×C412yes—
261#10621877C2×D412yes—
262C2×C43⋊C8—21no—
263C2×C43⋊C8—21no—
264C2×C43⋊C8—21no—
265C2×C43⋊C8—21no—
266C2×C43⋊C8—42no—
267#10621872—42no—
268C8×D43—42no—
269C23×C43—21no—
270C23×C43—21no—
271C23×C43—21no—
272C23×C43—42no—
273C23×C43H(5,𝔽2)11yescharacteristic
274C22×D43—21no—
275Q8×C43—21no—
276Q8×C43—21no—
277Q8×C43—21no—
278Q8×C43—21no—
279Q8×C43—42no—
280Q8×C43C4×D412yes—
281Q8×C43C4×D412yes—
282D4×C43—22no—
283D4×C43—22no—
284D4×C43—22no—
285D4×C43—22no—
286D4×C43—21no—
287D4×C43—21no—
288D4×C43—21no—
289D4×C43—21no—
290D4×C43—42no—
291D4×C43—42no—
292D4×C43—42no—
293D4×C43—41no—
294D4×C43—41no—
295D4×C43C4×D412yes—
296D4×C43C4×D412yes—
297C2×C4×C43—21no—
298C2×C4×C43—21no—
299C2×C4×C43—22no—
300C2×C4×C43—22no—
301C2×C4×C43—22no—
302C2×C4×C43—22no—
303C2×C4×C43—21no—
304C2×C4×C43—21no—
305C2×C4×C43—21no—
306C2×C4×C43—42no—
307C2×C4×C43—42no—
308C2×C4×C43—42no—
309C2×C4×C43—41no—
310C2×C4×C43—41no—
311C2×C4×C43—41no—
312C2×C4×C43—81no—
313C2×C4×C43—82no—
314C2×C4×C43C23×C411yescharacteristic
315C2×C4×C43C22×D411yescharacteristic
316C2×C4×C43C22×D411yescharacteristic
317C2×C4×C43C2×#4111yescharacteristic
318C2×C4×C43C2×#4111yescharacteristic
319C2×C4×C43H(5,𝔽2)11yescharacteristic
320C22⋊D43—41no—
321C22⋊D43—41no—
322C22⋊D43—82no—
323C2×Dic43—21no—
324C2×Dic43—21no—
325C2×Dic43—21no—
326C2×Dic43—21no—
327C2×Dic43—21no—
328C2×Dic43—41no—
329C2×Dic43—81no—
330C2×Dic43—81no—
331C2×Dic43—82no—
332D172—21no—
333D172—21no—
334C4×D43—41no—
335C4×D43—41no—
336Dic86—21no—
337Dic86—21no—
338C8×C43—22no—
339C8×C43—41no—
340C43⋊C8—22no—
341C43⋊C8—22no—
342C43⋊C8—22no—
343C43⋊C8—41no—
344#22898—431nomaximal, Sylow
345C22×C43—22no—
346C22×C43—22no—
347C22×C43—41no—
348C22×C43—41no—
349C22×C43—81no—
350C22×C43—81no—
351C22×C43—81no—
352C22×C43—162no—
353C22×C43#51811yescharacteristic
354C22×C43#54611yescharacteristic
355C22×C43#54611yescharacteristic
356C2×D43—41no—
357C2×D43—81no—
358C4×C43—22no—
359C4×C43—22no—
360C4×C43—41no—
361C4×C43—41no—
362C4×C43—41no—
363C4×C43—81no—
364C4×C43C2×C4×D411yescharacteristic
365C4×C43C2×C4×D411yescharacteristic
366C4×C43D4211yescharacteristic
367C4×C43#55111yescharacteristic
368Dic43—41no—
369Dic43—41no—
370Dic43—41no—
371Dic43—41no—
372Dic43—41no—
373Dic43—81no—
374#3018—431no—
375#2956—431no—
376#2956—431no—
377#2901—431no—
378#2901D4311yescharacteristic, complemented
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—42no—
394C2×C43—81no—
395C2×C43#235811yescharacteristic
396D43—81no—
397#585C2×D4311yescharacteristic
398#575—431no—
399#575—431no—
400#568—431no—
401#568—431no—
402#568C2×D4311yescharacteristic
403#532—431no—
404C4×#41—431no—
405C4×#41C2×D4311yescharacteristic
406#456—432no—
407#455—432no—
408#454—432no—
409#453—432no—
410#444—862no—
411#444—862no—
412#443—862no—
413#443—862no—
414#430—431no—
415#430—431no—
416#423—431no—
417#421—22no—
418#421—431no—
419#421—431no—
420#421—862no—
421#421C2×D4311yescharacteristic
422#421C2×D4311yescharacteristic
423C2×#104—22no—
424C2×#104—431no—
425C2×#104—431no—
426C2×#104—431no—
427C2×#104—431no—
428C2×#104—431no—
429C2×#104—431no—
430C2×#104—862no—
431C2×#104C2×D4311yescharacteristic
432C2×#104C2×D4311yescharacteristic
433#413—431no—
434#410—431no—
435C4×M16—431no—
436C4×M16—431no—
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—21no—
4462−1+4—21no—
4472−1+4C4×D4312yes—
448H(5,𝔽2)—21no—
449H(5,𝔽2)—21no—
450H(5,𝔽2)—41no—
451H(5,𝔽2)C4×D4312yes—
452C2×#41—22no—
453C2×#41—22no—
454C2×#41—41no—
455C2×#41—431no—
456C2×#41C22×D4311yescharacteristic
457C2×#41C22×D4311yescharacteristic
458C2×#41C22×D4311yescharacteristic
459#137—432no—
460#137—432no—
461#137—861no—
462#137—861no—
463AGL(1,ℤ/8)—432no—
464AGL(1,ℤ/8)—432no—
465AGL(1,ℤ/8)—861no—
466AGL(1,ℤ/8)—861no—
467#135—862no—
468#135—862no—
469#131—22no—
470#131—41no—
471#131—862no—
472#131—862no—
473#131—862no—
474#131—1721no—
475C2×M16—22no—
476C2×M16—431no—
477C2×M16—431no—
478C2×M16—431no—
479C2×M16—431no—
480C2×M16—862no—
481C2×M16—1721no—
482C2×M16C22×D4311yescharacteristic
483C2×M16C22×D4311yescharacteristic
484C4⋊Q8—431no—
485#127—431no—
486#124—431no—
487#124—431no—
488#121—1721no—
489C4×Q8—21no—
490C4×Q8—861no—
491C4×D4—21no—
492C4×D4—41no—
493C4×D4—861no—
494C4×D4—1721no—
495C4×D4—1721no—
496#117—21no—
497#117—431no—
498#117—861no—
499#117C22×D4311yescharacteristic
500C2×C42—21no—
501C2×C42—431no—
502C2×C42—431no—
503C2×C42—861no—
504C2×C42C22×D4311yescharacteristic
505#108—862no—
506#108—862no—
507C4⋊C8—1721no—
508#104—22no—
509#104—22no—
510#104—21no—
511#104—21no—
512#104—432no—
513#104—432no—
514#104—432no—
515#104—432no—
516#104—432no—
517#104—432no—
518#104—861no—
519#104—861no—
520#104—861no—
521#104—861no—
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—861no—
532#97—861no—
533C4×C8—861no—
534C4×C8—861no—
535#95—1721no—
536#41—21no—
537#41—21no—
538#41—21no—
539#41—21no—
540#41—22no—
541#41—22no—
542#41—22no—
543#41—22no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—42no—
549#41—42no—
550#41—42no—
551#41—42no—
552#41—41no—
553#41—41no—
554#41—861no—
555#41—861no—
556#41—861no—
557#41—861no—
558#41C2×C4×D4312yes—
559#41C2×C4×D4312yes—
560#41D4×D4312yes—
561#41C2×C22⋊D4312yes—
562C2×Q8—22no—
563C2×Q8—22no—
564C2×Q8—41no—
565C2×Q8—431no—
566C2×Q8C2×C4×D4311yescharacteristic
567C2×Q8#1062189811yescharacteristic
568C2×Q8#1062190011yescharacteristic
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—22no—
572C2×D4—22no—
573C2×D4—21no—
574C2×D4—42no—
575C2×D4—41no—
576C2×D4—42no—
577C2×D4—42no—
578C2×D4—431no—
579C2×D4—861no—
580C2×D4—1721no—
581C2×D4C2×C4×D4311yescharacteristic
582C2×D4#1062189811yescharacteristic
583C2×D4#1062190011yescharacteristic
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—42no—
589C22×C4—41no—
590C22×C4—861no—
591C22×C4—861no—
592C22×C4—861no—
593C22×C4—1721no—
594C22×C4C23×D4311yescharacteristic
595Q16—862no—
596Q16—862no—
597SD16—862no—
598SD16—862no—
599SD16—862no—
600SD16—862no—
601D8—862no—
602D8—862no—
603M16—21no—
604M16—21no—
605M16—21no—
606M16—42no—
607M16—432no—
608M16—432no—
609M16—432no—
610M16—861no—
611M16—861no—
612M16—861no—
613M16—861no—
614M16—861no—
615M16—1722no—
616M16—1722no—
617M16C2×C22⋊D4312yes—
618C2×C8—21no—
619C2×C8—21no—
620C2×C8—42no—
621C2×C8—861no—
622C2×C8—861no—
623C2×C8—861no—
624C2×C8—861no—
625C2×C8—1722no—
626C2×C8—1722no—
627C4⋊C4—21no—
628C4⋊C4—41no—
629C4⋊C4—861no—
630C4⋊C4—1721no—
631C4⋊C4—1721no—
632C22⋊C4—21no—
633C22⋊C4—41no—
634C22⋊C4—861no—
635C22⋊C4—1721no—
636C22⋊C4—1721no—
637C22⋊C4—1721no—
638C42—21no—
639C42—21no—
640C42—41no—
641C42—431no—
642C42—431no—
643C42—431no—
644C42—431no—
645C42—861no—
646C42—861no—
647C42—861no—
648C42—1721no—
649C42C2×C22⋊D4311yescharacteristic
650C42C2×C22⋊D4311yescharacteristic
651C23—21no—
652C23—21no—
653C23—21no—
654C23—42no—
655C23—861no—
656C23#1306337011yescharacteristic
657Q8—21no—
658Q8—21no—
659Q8—21no—
660Q8—21no—
661Q8—42no—
662Q8—861no—
663Q8—861no—
664Q8(C22⋊D43)⋊C412yes—
665Q8C4×C22⋊D4312yes—
666D4—22no—
667D4—22no—
668D4—22no—
669D4—22no—
670D4—21no—
671D4—21no—
672D4—21no—
673D4—21no—
674D4—42no—
675D4—42no—
676D4—42no—
677D4—41no—
678D4—41no—
679D4—861no—
680D4—861no—
681D4—3442no—
682D4—1721no—
683D4—1721no—
684D4(C22⋊D43)⋊C412yes—
685D4C4×C22⋊D4312yes—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—81no—
702C2×C4—82no—
703C2×C4—861no—
704C2×C4—861no—
705C2×C4—861no—
706C2×C4—861no—
707C2×C4—861no—
708C2×C4—3442no—
709C2×C4—3441no—
710C2×C4—3441no—
711C2×C4—1721no—
712C2×C4—1721no—
713C2×C4—1721no—
714C2×C4C22×C4×D4311yescharacteristic
715C2×C4C2×D4×D4311yescharacteristic
716C2×C4C22×C22⋊D4311yescharacteristic
717C2×C4C2×#1062190011yescharacteristic
718C2×C4C2×#1062189811yescharacteristic
719C2×C4#1306337011yescharacteristic
720C8—22no—
721C8—41no—
722C8—862no—
723C8—862no—
724C8—862no—
725C8—1721no—
726C22—22no—
727C22—22no—
728C22—41no—
729C22—41no—
730C22—81no—
731C22—81no—
732C22—81no—
733C22—162no—
734C22—3441no—
735C22—1721no—
736C22#1458337211yescharacteristic
737C22#1458353911yescharacteristic
738C22#1458354311yescharacteristic
739C4—22no—
740C4—22no—
741C4—41no—
742C4—41no—
743C4—41no—
744C4—81no—
745C4—3441no—
746C4—1721no—
747C4—1721no—
748C4—1721no—
749C4—1721no—
750C4—1721no—
751C4C2×(C22⋊D43)⋊C411yescharacteristic
752C4C2×C4×C22⋊D4311yescharacteristic
753C4D4×C22⋊D4311yescharacteristic
754C4#1458357511yescharacteristic
755C2—21no—
756C2—21no—
757C2—21no—
758C2—42no—
759C2—42no—
760C2—81no—
761C2—3441no—
762C2#1913757411yescharacteristic
subgroupG/H
centerC4D4×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2901C2
socleC2×C43#2358
prime radical#19143944C2
cosocleC22×C4×C43C24
hypercenter#2901D43
hypocenterC43#22898
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C22×C4 ◁ #2901

Complements

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

NH ≅ G/Ntype
2. #19143502C2semidirect
3. #19143501C2semidirect
4. #19143142C2semidirect
5. #19135425C2semidirect
6. #19135267C2semidirect
7. #19135261C2semidirect
8. #19135096C2semidirect
9. #19135094C2semidirect
10. #19134975C2semidirect
11. #19134835C2semidirect
12. #19134833C2semidirect
13. #19134407C2semidirect
14. #19134405C2semidirect
15. C43×#2901C2semidirect
19. #14583665C22semidirect
22. #14583082C4semidirect
23. #14583077C4semidirect
24. #14583072C4semidirect
25. #14583067C4semidirect
30. #14582947C22semidirect
31. #14582947C22semidirect
32. #14582922C22semidirect
36. C2×#13063253C22semidirect
42. C2×#13063251C22semidirect
44. #14582872C22semidirect
45. C4×#10621877C22semidirect
46. M16×Dic43C22semidirect
47. #14582745C22semidirect
48. #14582670C22semidirect
49. #14582669C22semidirect
50. #14582660C22semidirect
51. #14582659C22semidirect
52. #14582658C22semidirect
53. #14582658C22semidirect
66. #13063355C2×C4semidirect
67. #13063355C2×C4semidirect
70. #13063350C2×C4semidirect
71. #13063350C2×C4semidirect
84. #13063323C2×C4semidirect
85. #13063321C2×C4semidirect
86. #13063314C2×C4semidirect
87. #13063312C2×C4semidirect
107. #13063252C2×C4semidirect
108. #13063252C2×C4semidirect
109. #13063252C2×C4semidirect
110. #13063252C2×C4semidirect
111. #13063252D4semidirect
112. #13063252D4semidirect
115. #13063244C2×C4semidirect
116. #13063242C2×C4semidirect
152. #104×C43D4semidirect
153. #104×C43D4semidirect
378. #2901D43semidirect
444. C43#22898semidirect
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
#191439442
#191435022
#191435012
#191431422
#191354252
#191352672
#191352612
#191350962
#191350942
#191349752
#191348352
#191348332
#191344072
#191344052
C43×#29012
#2289843