Finite Group Databasebeta

← #25117442

Subgroups — #25117442

Order 11008.

1016 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583075C211yesmaximal, characteristic
2#19143438C211yesmaximal, characteristic, complemented
3#19143118C211yesmaximal, characteristic
4#19143117C211yesmaximal, characteristic
5#19135403C211yesmaximal, characteristic, complemented
6#19135257C211yesmaximal, characteristic, complemented
7#19135256C211yesmaximal, characteristic, complemented
8#19135113C211yesmaximal, characteristic, complemented
9#19135112C211yesmaximal, characteristic, complemented
10#19134998C211yesmaximal, characteristic, complemented
11#19134828C211yesmaximal, characteristic, complemented
12#19134825C211yesmaximal, characteristic, complemented
13#19134435C211yesmaximal, characteristic, complemented
14#19134434C211yesmaximal, characteristic, complemented
15C43×#2947C211yesmaximal, characteristic, complemented
16C2×#13063371C2211yescharacteristic
17C2×#13063356C2211yescharacteristic
18C2×#13063332C2211yescharacteristic
19C2×#13063331C2211yescharacteristic
20C2×#13063314C2211yescharacteristic
21#14583379C2211yescharacteristic
22#14583075C418yescomplemented
23#14583004—21no—
24#14582997—21no—
25C4×#10621885—21no—
26C4×#10621884—21no—
27#14582942C2211yescharacteristic, complemented
28C2×#13063252C2211yescharacteristic
29C2×#13063251C2211yescharacteristic
30#14582903—21no—
31#14582903C2211yescharacteristic
32#14582903C2211yescharacteristic
33#14582902—21no—
34#14582900C2211yescharacteristic
35#14582899—21no—
36#14582898—21no—
37#14582898C2211yescharacteristic
38#14582894—21no—
39#14582893—21no—
40#14582893C2211yescharacteristic
41C2×#13063249C2211yescharacteristic, complemented
42C2×#13063247C2211yescharacteristic
43C2×#13063245—21no—
44C2×#13063245C2211yescharacteristic
45#102×D43—21no—
46C2×#13063244C2211yescharacteristic, complemented
47C2×#13063241C2211yescharacteristic
48#14582855C2211yescharacteristic, complemented
49C2×C8×Dic43C2211yescharacteristic, complemented
50#14582764C2211yescharacteristic, complemented
51#14582668C2211yescharacteristic, complemented
52#14582667C2211yescharacteristic, complemented
53#14582664C2211yescharacteristic, complemented
54#14582663C2211yescharacteristic, complemented
55#14582658C2211yescharacteristic, complemented
56#14582658C2211yescharacteristic, complemented
57C2×#137×C43C2211yescharacteristic
58C43×#520C2211yescharacteristic
59C43×#519C2211yescharacteristic, complemented
60C43×#441—21no—
61C43×#440—21no—
62C4×Q16×C43—21no—
63C4×SD16×C43—21no—
64C43×#428C2211yescharacteristic, complemented
65C43×#416C2211yescharacteristic
66C2×#103×C43C2211yescharacteristic, complemented
67C43×#405C2211yescharacteristic, complemented
68#13063371—22no—
69#13063371—22no—
70#13063371—41no—
71#13063371C2×C414yes—
72C2×#10621902—21no—
73C2×#10621898—21no—
74C2×#10621898C2311yescharacteristic
75C22×D172—21no—
76C22×D172C2311yescharacteristic
77C2×D4×D43—21no—
78C2×D4×D43—41no—
79#13063356—22no—
80#13063356C2×C414yescomplemented
81C2×#10621885—21no—
82C2×#10621884—21no—
83#13063332—22no—
84#13063332—41no—
85#13063331—22no—
86#13063331—41no—
87C2×#10621877—21no—
88C2×#10621877C2311yescharacteristic
89C2×#10621877C2311yescharacteristic
90C2×#10621877C2311yescharacteristic
91C2×#10621872—21no—
92C22×C43⋊C8—21no—
93C22×C43⋊C8C2311yescharacteristic
94C2×C8×D43—21no—
95#13063314—41no—
96#13063314C2×C414yescomplemented
97C4×Dic86—21no—
98C4×D172—21no—
99(C22⋊D43)⋊C4—41no—
100#13063283—21no—
101C2×C4⋊Dic43C2311yescharacteristic
102C4⋊C4×D43—21no—
103C2×(C2×D43)⋊C4—41no—
104C2×C4×Dic43C2311yescharacteristic
105#13063258—21no—
106#13063256—21no—
107#13063252C2×C414yescomplemented
108#13063251C2×C414yescomplemented
109#13063249—21no—
110#13063249—21no—
111#13063249—21no—
112#13063248—21no—
113#13063248D411yescharacteristic
114#13063248D411yescharacteristic
115#13063247—21no—
116#13063247—21no—
117#13063246—21no—
118#13063245—21no—
119#13063245—21no—
120#13063245—21no—
121#13063245—21no—
122#13063245—21no—
123#13063245—21no—
124#13063245—21no—
125#13063245D411yescharacteristic
126#13063245D411yescharacteristic
127#13063244—41no—
128#13063241C2×C414yescomplemented
129#13063236—21no—
130C4×C43⋊C8—21no—
131C8×Dic43—41no—
132C43⋊#95—41no—
133C2×#41×C43C2311yescharacteristic
134C22×Q8×C43C2311yescharacteristic
135#137×C43—22no—
136#137×C43C2×C414yescomplemented
137C2×Q16×C43—21no—
138C2×SD16×C43—21no—
139C2×M16×C43C2311yescharacteristic
140C22×C8×C43C2311yescharacteristic
141C4×Q8×C43—21no—
142C4×Q8×C43—21no—
143C4×Q8×C43—21no—
144C4×Q8×C43—21no—
145C4×Q8×C43—21no—
146C4×D4×C43—21no—
147C4×D4×C43—41no—
148#117×C43—21no—
149#117×C43—41no—
150#117×C43C2311yescharacteristic
151#117×C43C2311yescharacteristic
152C2×C4⋊C4×C43—21no—
153C2×C4⋊C4×C43C2311yescharacteristic
154#107×C43—21no—
155#106×C43—21no—
156#103×C43—21no—
157#103×C43—21no—
158#103×C43D411yescharacteristic
159#103×C43D411yescharacteristic
160#102×C43D411yescharacteristic
161#102×C43D411yescharacteristic
162#97×C43—21no—
163C4×C8×C43—21no—
164C23×D43—21no—
165C23×D43—41no—
166#41×C43—21no—
167#41×C43—21no—
168#41×C43C22×C412yes—
169#41×C43#4112yes—
170C2×Q8×C43—21no—
171C2×Q8×C43—21no—
172C2×Q8×C43—21no—
173C2×Q8×C43—21no—
174C2×Q8×C43—21no—
175C2×Q8×C43C22×C412yes—
176C2×Q8×C43C2×D411yescharacteristic
177C2×D4×C43—21no—
178C2×D4×C43C2×D411yescharacteristic
179C22×C4×C43—21no—
180C22×C4×C43—21no—
181C22×C4×C43—21no—
182C22×C4×C43—41no—
183C22×C4×C43C2411yescharacteristic
184C2×C22⋊D43—21no—
185C2×C22⋊D43—41no—
186C22×Dic43—21no—
187C22×Dic43—21no—
188#10621902—24no—
189#10621902—42no—
190D4×D43—24no—
191D4×D43—44no—
192D4×D43—42no—
193D4×D43—44no—
194#10621898—21no—
195#10621898—21no—
196#10621898—24no—
197#10621898—42no—
198#10621898C22×C412yes—
199#10621898#4112yes—
200C2×D172—21no—
201C2×D172—21no—
202C2×D172—21no—
203C2×D172—21no—
204C2×D172—21no—
205C2×D172—24no—
206C2×D172—41no—
207C2×D172—42no—
208C2×D172C22×C412yes—
209C2×D172C2×D411yescharacteristic
210C2×C4×D43—21no—
211C2×C4×D43—41no—
212C2×C4×D43—41no—
213C2×Dic86C2×D411yescharacteristic
214Q16×C43—24no—
215SD16×C43—24no—
216M16×C43—21no—
217M16×C43C22×C412yes—
218C2×C8×C43—21no—
219C2×C8×C43—21no—
220C2×C8×C43—21no—
221C2×C8×C43C2×D411yescharacteristic
222C2×C8×C43C2×D411yescharacteristic
223C4⋊C4×C43—21no—
224C4⋊C4×C43—21no—
225C4⋊C4×C43—41no—
226C4⋊C4×C43—41no—
227C4⋊C4×C43—41no—
228C4⋊C4×C43C2×D411yescharacteristic
229C4⋊C4×C43C2×D411yescharacteristic
230C4⋊C4×C43C2×D411yescharacteristic
231C4⋊C4×C43C2×D411yescharacteristic
232C22⋊C4×C43—21no—
233C22⋊C4×C43—21no—
234C22⋊C4×C43—41no—
235C42×C43—21no—
236C42×C43—21no—
237C42×C43—41no—
238C42×C43—41no—
239C42×C43—41no—
240#10621885—24no—
241#10621884—24no—
242(C2×D43)⋊C4—44no—
243(C2×D43)⋊C4—41no—
244C4⋊Dic43—21no—
245C4⋊Dic43—21no—
246Dic43⋊C4—41no—
247C4×Dic43—21no—
248C4×Dic43—41no—
249C4×Dic43C22×C412yes—
250#10621877—21no—
251#10621877—21no—
252#10621877—21no—
253#10621877—21no—
254#10621877—21no—
255#10621877—42no—
256#10621877C22×C412yes—
257C2×C43⋊C8—21no—
258C2×C43⋊C8—21no—
259C2×C43⋊C8—21no—
260C2×C43⋊C8—21no—
261C2×C43⋊C8—21no—
262C2×C43⋊C8—42no—
263C2×C43⋊C8C2×D411yescharacteristic
264C2×C43⋊C8C2×D411yescharacteristic
265#10621872—42no—
266C8×D43—42no—
267C23×C43—21no—
268C23×C43H(5,𝔽2)11yescharacteristic
269C22×D43—21no—
270C22×D43—22no—
271C22×D43—44no—
272C22×D43—41no—
273C22×D43—41no—
274C22×D43—81no—
275C22×D43—81no—
276C22×D43—161no—
277C22×D43—161no—
278Q8×C43—21no—
279Q8×C43—22no—
280Q8×C43—22no—
281Q8×C43—41no—
282Q8×C43—41no—
283Q8×C43C4×D412yes—
284D4×C43—22no—
285D4×C43—22no—
286D4×C43—21no—
287D4×C43C4×D412yes—
288C2×C4×C43—21no—
289C2×C4×C43—22no—
290C2×C4×C43—22no—
291C2×C4×C43—22no—
292C2×C4×C43—21no—
293C2×C4×C43—21no—
294C2×C4×C43—21no—
295C2×C4×C43—21no—
296C2×C4×C43—41no—
297C2×C4×C43—41no—
298C2×C4×C43—41no—
299C2×C4×C43—81no—
300C2×C4×C43—161no—
301C2×C4×C43C23×C411yescharacteristic
302C2×C4×C43C22×D411yescharacteristic
303C2×C4×C43C22×D411yescharacteristic
304C2×C4×C43C2×#4111yescharacteristic
305C2×C4×C43C2×#4111yescharacteristic
306C2×C4×C43H(5,𝔽2)11yescharacteristic
307C22⋊D43—22no—
308C22⋊D43—22no—
309C22⋊D43—44no—
310C2×Dic43—21no—
311C2×Dic43—22no—
312C2×Dic43—41no—
313C2×Dic43—41no—
314C2×Dic43—41no—
315C2×Dic43—81no—
316D172—22no—
317D172—22no—
318D172—21no—
319D172—44no—
320D172—41no—
321D172—41no—
322D172C4×D412yes—
323C4×D43—22no—
324C4×D43—22no—
325C4×D43—44no—
326C4×D43—161no—
327Dic86—21no—
328Dic86C4×D412yes—
329C8×C43—22no—
330C8×C43—21no—
331C8×C43—21no—
332C43⋊C8—22no—
333C43⋊C8—21no—
334C43⋊C8—21no—
335C43⋊C8—41no—
336C43⋊C8—41no—
337#22896—431nomaximal, Sylow
338C22×C43—21no—
339C22×C43—21no—
340C22×C43—22no—
341C22×C43—41no—
342C22×C43—41no—
343C22×C43#51811yescharacteristic
344C22×C43D4211yescharacteristic
345C22×C43#55111yescharacteristic
346C2×D43—22no—
347C2×D43—41no—
348C2×D43—41no—
349C2×D43—42no—
350C2×D43—81no—
351C2×D43—81no—
352C2×D43—82no—
353C2×D43—164no—
354C2×D43—161no—
355C4×C43—22no—
356C4×C43—42no—
357C4×C43—41no—
358C4×C43—41no—
359C4×C43—41no—
360C4×C43—41no—
361C4×C43—81no—
362C4×C43C2×C4×D411yescharacteristic
363C4×C43C2×C4×D411yescharacteristic
364C4×C43#54611yescharacteristic
365C4×C43#54611yescharacteristic
366Dic43—22no—
367Dic43—42no—
368Dic43—81no—
369C2×#455—431no—
370#2947—431no—
371#2947D4311yescharacteristic, complemented
372#2897—431no—
373#2897—431no—
374#1958—431no—
375#1931—431no—
376#1931—431no—
377#1908—431no—
378#1908—431no—
379#1888—431no—
380#1860—431no—
381#1860—431no—
382#1764—431no—
383#1764—431no—
384C2×C43—21no—
385C2×C43—21no—
386C2×C43—42no—
387C2×C43#235811yescharacteristic
388C2×C43#329011yescharacteristic
389C2×C43#329011yescharacteristic
390D43—42no—
391D43—82no—
392C2×H(5,𝔽2)—431no—
393C2×#137—431no—
394C2×#137C2×D4311yescharacteristic
395C2×#131—431no—
396C2×#131—431no—
397C2×#124—431no—
398#520—431no—
399#520C2×D4311yescharacteristic
400#519C2×D4311yescharacteristic, complemented
401#455—438no—
402#441—21no—
403#441—861no—
404#440—21no—
405#440—861no—
406C4×Q16—21no—
407C4×Q16—861no—
408C4×SD16—21no—
409C4×SD16—861no—
410#428—431no—
411#428C2×D4311yescharacteristic, complemented
412C2×#104—431no—
413C2×#104—431no—
414#418—431no—
415#418—431no—
416#418—861no—
417#418—861no—
418#417—431no—
419#417—431no—
420#417—861no—
421#417—861no—
422#416—431no—
423#416—861no—
424#416—861no—
425#416C2×D4311yescharacteristic
426C2×#103—431no—
427C2×#103C2×D4311yescharacteristic, complemented
428C2×#102—431no—
429C2×#102—431no—
430C2×#102—861no—
431C2×#102—861no—
432C2×#101—431no—
433C2×#100—431no—
434#405—431no—
435#405C2×D4311yescharacteristic, complemented
436C2×C4×C8—431no—
437#382—431no—
438#343—431no—
439#343—431no—
440#341—431no—
441#341—431no—
442#339—431no—
443#339—431no—
444C43#2289611yescharacteristic, complemented, Sylow
445H(5,𝔽2)—434no—
446H(5,𝔽2)—862no—
447H(5,𝔽2)—862no—
448H(5,𝔽2)—1721no—
449C2×#41—431no—
450C2×#41—861no—
451C2×#41—861no—
452C2×#41C22×D4311yescharacteristic
453C22×Q8C22×D4311yescharacteristic
454C22×D4—431no—
455C22×D4—861no—
456C22×D4—861no—
457C22×D4—1721no—
458#137—22no—
459#137—434no—
460#137—862no—
461#137C4×D4314yescomplemented
462C2×Q16—21no—
463C2×Q16—861no—
464C2×SD16—21no—
465C2×SD16—861no—
466#131—862no—
467#131—862no—
468#131—1721no—
469#131—1721no—
470C2×M16—431no—
471C2×M16—431no—
472C2×M16—431no—
473C2×M16—861no—
474C2×M16—861no—
475C2×M16C22×D4311yescharacteristic
476C22×C8—431no—
477C22×C8—861no—
478C22×C8—861no—
479C22×C8C22×D4311yescharacteristic
480#124—434no—
481#124—1721no—
482C4×Q8—21no—
483C4×Q8—21no—
484C4×Q8—21no—
485C4×Q8—21no—
486C4×Q8—21no—
487C4×Q8—861no—
488C4×D4—21no—
489C4×D4—41no—
490C4×D4—861no—
491C4×D4—1721no—
492#117—21no—
493#117—41no—
494#117—861no—
495#117C22×D4311yescharacteristic
496#117C22×D4311yescharacteristic
497C2×C4⋊C4—21no—
498C2×C4⋊C4—431no—
499C2×C4⋊C4—861no—
500C2×C4⋊C4C22×D4311yescharacteristic
501C2×C22⋊C4—1721no—
502C2×C42—431no—
503#107—21no—
504#107—861no—
505#106—21no—
506#106—861no—
507#104—434no—
508#104—434no—
509#103—21no—
510#103—21no—
511#103—431no—
512#103—431no—
513#103—861no—
514#103—861no—
515#103—861no—
516#103—861no—
517#103C22⋊D4311yescharacteristic
518#103C22⋊D4311yescharacteristic
519#102—431no—
520#102—431no—
521#102—861no—
522#102—861no—
523#102—861no—
524#102—861no—
525#102—861no—
526#102—861no—
527#102—861no—
528#102—861no—
529#102—861no—
530#102—861no—
531#102C22⋊D4311yescharacteristic
532#102C22⋊D4311yescharacteristic
533#101—1721no—
534#100—434no—
535#97—21no—
536#97—861no—
537C4×C8—21no—
538C4×C8—861no—
539C4×C8—1721no—
540#95—1721no—
541C24—861no—
542C24—1721no—
543#41—21no—
544#41—21no—
545#41—432no—
546#41—432no—
547#41—864no—
548#41—861no—
549#41—861no—
550#41—864no—
551#41—1722no—
552#41—1722no—
553#41C2×C4×D4312yes—
554#41#1062189812yes—
555C2×Q8—21no—
556C2×Q8—21no—
557C2×Q8—21no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—431no—
561C2×Q8C2×C4×D4312yes—
562C2×Q8C2×C22⋊D4311yescharacteristic
563C2×D4—21no—
564C2×D4—432no—
565C2×D4—431no—
566C2×D4—864no—
567C2×D4—861no—
568C2×D4—864no—
569C2×D4—861no—
570C2×D4—861no—
571C2×D4—861no—
572C2×D4—861no—
573C2×D4—861no—
574C2×D4—1722no—
575C2×D4—1721no—
576C2×D4—1722no—
577C2×D4—1721no—
578C2×D4—1724no—
579C2×D4—1724no—
580C2×D4C2×C22⋊D4311yescharacteristic
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—41no—
585C22×C4—861no—
586C22×C4—861no—
587C22×C4—861no—
588C22×C4—1721no—
589C22×C4—1721no—
590C22×C4C23×D4311yescharacteristic
591Q16—24no—
592Q16—864no—
593SD16—24no—
594SD16—864no—
595M16—21no—
596M16—432no—
597M16—861no—
598M16—861no—
599M16—861no—
600M16—861no—
601M16—861no—
602M16—1722no—
603M16—1722no—
604M16C2×C4×D4312yes—
605C2×C8—21no—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—431no—
609C2×C8—431no—
610C2×C8—861no—
611C2×C8—861no—
612C2×C8—861no—
613C2×C8—861no—
614C2×C8—861no—
615C2×C8—1722no—
616C2×C8—1722no—
617C2×C8C2×C22⋊D4311yescharacteristic
618C2×C8C2×C22⋊D4311yescharacteristic
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—41no—
622C4⋊C4—41no—
623C4⋊C4—41no—
624C4⋊C4—861no—
625C4⋊C4—861no—
626C4⋊C4—1721no—
627C4⋊C4D4×D4311yescharacteristic
628C4⋊C4D4×D4311yescharacteristic
629C4⋊C4C2×C22⋊D4311yescharacteristic
630C4⋊C4C2×C22⋊D4311yescharacteristic
631C22⋊C4—21no—
632C22⋊C4—21no—
633C22⋊C4—41no—
634C22⋊C4—1724no—
635C22⋊C4—1721no—
636C42—21no—
637C42—21no—
638C42—41no—
639C42—41no—
640C42—41no—
641C42—432no—
642C42—861no—
643C42—1721no—
644C23—21no—
645C23—861no—
646C23—862no—
647C23—3441no—
648C23—3441no—
649C23—1724no—
650C23—1721no—
651C23—1721no—
652C23—6881no—
653C23—6881no—
654C23#1306337011yescharacteristic
655Q8—21no—
656Q8—22no—
657Q8—22no—
658Q8—41no—
659Q8—41no—
660Q8—432no—
661Q8—861no—
662Q8C4×C22⋊D4312yes—
663D4—22no—
664D4—22no—
665D4—21no—
666D4—432no—
667D4—862no—
668D4—862no—
669D4—862no—
670D4—862no—
671D4—861no—
672D4—1724no—
673D4—1724no—
674D4—1721no—
675D4—1721no—
676D4C4×C22⋊D4312yes—
677C2×C4—21no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—81no—
689C2×C4—161no—
690C2×C4—861no—
691C2×C4—862no—
692C2×C4—862no—
693C2×C4—862no—
694C2×C4—3441no—
695C2×C4—1724no—
696C2×C4—1721no—
697C2×C4—1721no—
698C2×C4—1721no—
699C2×C4—6881no—
700C2×C4C22×C4×D4311yescharacteristic
701C2×C4C2×D4×D4311yescharacteristic
702C2×C4C22×C22⋊D4311yescharacteristic
703C2×C4#41×D4311yescharacteristic
704C2×C4C2×#1062189811yescharacteristic
705C2×C4#1306337111yescharacteristic
706C8—22no—
707C8—21no—
708C8—21no—
709C8—862no—
710C8—861no—
711C8—861no—
712C8—1721no—
713C8—1721no—
714C22—21no—
715C22—21no—
716C22—22no—
717C22—41no—
718C22—41no—
719C22—862no—
720C22—3442no—
721C22—3441no—
722C22—3441no—
723C22—1722no—
724C22—1721no—
725C22—1721no—
726C22—6881no—
727C22—6884no—
728C22#1458337111yescharacteristic
729C22D4×C22⋊D4311yescharacteristic
730C22#1458357811yescharacteristic
731C4—22no—
732C4—42no—
733C4—41no—
734C4—41no—
735C4—41no—
736C4—41no—
737C4—81no—
738C4—862no—
739C4—3441no—
740C4—1722no—
741C4C4×D4×D4311yescharacteristic
742C4C2×C4×C22⋊D4311yescharacteristic
743C4#1458353711yescharacteristic
744C4#1458354511yescharacteristic
745C2—21no—
746C2—21no—
747C2—42no—
748C2—3442no—
749C2—1722no—
750C2#1913757211yescharacteristic
751C2#1914637511yescharacteristic
752C2#1914638111yescharacteristic
subgroupG/H
centerC22D4×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2947C2
socleC22×C43D42
prime radicalC2×#13063371C22
cosocleC22×C4×C43C24
hypercenter#2947D43
hypocenterC43#22896
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2947

Complements

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

NH ≅ G/Ntype
2. #19143438C2semidirect
5. #19135403C2semidirect
6. #19135257C2semidirect
7. #19135256C2semidirect
8. #19135113C2semidirect
9. #19135112C2semidirect
10. #19134998C2semidirect
11. #19134828C2semidirect
12. #19134825C2semidirect
13. #19134435C2semidirect
14. #19134434C2semidirect
15. C43×#2947C2semidirect
22. #14583075C4semidirect
27. #14582942C22semidirect
41. C2×#13063249C22semidirect
46. C2×#13063244C22semidirect
48. #14582855C22semidirect
49. C2×C8×Dic43C22semidirect
50. #14582764C22semidirect
51. #14582668C22semidirect
52. #14582667C22semidirect
53. #14582664C22semidirect
54. #14582663C22semidirect
55. #14582658C22semidirect
56. #14582658C22semidirect
59. C43×#519C22semidirect
64. C43×#428C22semidirect
66. C2×#103×C43C22semidirect
67. C43×#405C22semidirect
80. #13063356C2×C4semidirect
96. #13063314C2×C4semidirect
107. #13063252C2×C4semidirect
108. #13063251C2×C4semidirect
128. #13063241C2×C4semidirect
136. #137×C43C2×C4semidirect
371. #2947D43semidirect
400. #519C2×D43semidirect
411. #428C2×D43semidirect
427. C2×#103C2×D43semidirect
435. #405C2×D43semidirect
444. C43#22896semidirect
461. #137C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830752
#191434382
#191431182
#191431172
#191354032
#191352572
#191352562
#191351132
#191351122
#191349982
#191348282
#191348252
#191344352
#191344342
C43×#29472
#2289643