Finite Group Databasebeta

← #25150901

Subgroups — #25150901

Order 11008.

1082 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583433C211yesmaximal, characteristic
2C2×#14583298C211yesmaximal, characteristic, complemented
3C2×#14583256C211yesmaximal, characteristic, complemented
4#19135798C211yesmaximal, characteristic, complemented
5#19135791C211yesmaximal, characteristic, complemented
6#19135784C211yesmaximal, characteristic
7#19135777C211yesmaximal, characteristic
8#19135559C211yesmaximal, characteristic, complemented
9#19135404C211yesmaximal, characteristic, complemented
10#19134862C211yesmaximal, characteristic, complemented
11#19134855C211yesmaximal, characteristic, complemented
12#19134848C211yesmaximal, characteristic, complemented
13#19134841C211yesmaximal, characteristic, complemented
14C4×C22⋊(C43⋊C8)C211yesmaximal, characteristic, complemented
15C43×#2851C211yesmaximal, characteristic, complemented
16#14583433—24no—
17#14583433—24no—
18C2×#13063319—21no—
19C2×#13063317C2211yescharacteristic
20C2×#13063313C2211yescharacteristic
21C2×#13063308—21no—
22C2×#13063304C2211yescharacteristic
23C2×#13063299C2211yescharacteristic
24C2×C4×Dic86C2211yescharacteristic
25C2×C4×D172C2211yescharacteristic
26C2×C4×C22⋊D43—21no—
27C2×#13063282—21no—
28#14583298—24no—
29#14583256—24no—
30C2×#13063258C2211yescharacteristic
31C2×#13063258C2211yescharacteristic
32C2×#13063256C2211yescharacteristic
33C2×#13063256C2211yescharacteristic
34C2×#13063248C2211yescharacteristic
35C2×#13063248C2211yescharacteristic
36C2×#13063248C2211yescharacteristic
37C2×#13063248C2211yescharacteristic
38C2×#13063245C2211yescharacteristic
39C2×#13063245C2211yescharacteristic
40C2×#13063245C2211yescharacteristic
41C2×#13063245C2211yescharacteristic
42C2×C22⋊(C43⋊C8)C2211yescharacteristic
43C2×C22⋊(C43⋊C8)C2211yescharacteristic
44C2×C4×C43⋊C8C2211yescharacteristic
45C2×C4×C43⋊C8C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582654C2211yescharacteristic
51#14582654C2211yescharacteristic
52C2×#125×C43C2211yescharacteristic
53C22×C42×C43C2211yescharacteristic
54C43×#389C2211yescharacteristic
55C43×#389C2211yescharacteristic
56C43×#387—21no—
57C43×#387—21no—
58C43×#385—21no—
59C43×#385—21no—
60C43×#382C2211yescharacteristic
61C43×#380C2211yescharacteristic
62C43×#380C2211yescharacteristic
63C22×Dic86C2311yescharacteristic
64C22×D172C2311yescharacteristic
65C22×C22⋊D43—21no—
66C22×C4×D43—21no—
67C22×C43⋊C8C2311yescharacteristic
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71#13063319—28no—
72#13063317—22no—
73#13063317D414yes—
74#13063313—22no—
75#13063313D414yes—
76#13063308—28no—
77#13063304—22no—
78#13063304—22no—
79#13063299—22no—
80#13063299—22no—
81C4×Dic86—22no—
82C4×Dic86—22no—
83C4×D172—22no—
84C4×D172—22no—
85C4×C22⋊D43—28no—
86#13063282—28no—
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×Dic43⋊C4—21no—
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—21no—
92C2×Dic43⋊C4—21no—
93C2×C22⋊Dic43—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×C4×Dic43—21no—
99#13063258—22no—
100#13063258—22no—
101#13063256—22no—
102#13063256—22no—
103#13063248—22no—
104#13063248—22no—
105#13063248—22no—
106#13063248—22no—
107#13063245—22no—
108#13063245—22no—
109#13063245—22no—
110#13063245—22no—
111C22⋊(C43⋊C8)—22no—
112C22⋊(C43⋊C8)—22no—
113C4×C43⋊C8—22no—
114C4×C43⋊C8—22no—
115C23×C4×C43D411yescharacteristic
116C23×C4×C43D411yescharacteristic
117C23×C4×C43C2311yescharacteristic
118#125×C43—22no—
119#125×C43—22no—
120C2×C4⋊C4×C43—21no—
121C2×C4⋊C4×C43—21no—
122C2×C4⋊C4×C43—21no—
123C2×C4⋊C4×C43—21no—
124C2×C4⋊C4×C43C2311yescharacteristic
125C2×C4⋊C4×C43C2311yescharacteristic
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C22⋊C4×C43—21no—
129C2×C22⋊C4×C43—21no—
130C2×C42×C43—22no—
131C2×C42×C43—22no—
132C2×C42×C43D411yescharacteristic
133C2×C42×C43D411yescharacteristic
134C2×C42×C43C2311yescharacteristic
135C2×C42×C43C2311yescharacteristic
136#95×C43—21no—
137#95×C43—21no—
138#95×C43—21no—
139#95×C43—21no—
140#95×C43—21no—
141#95×C43—21no—
142C24×C43C2×D411yescharacteristic
143C23×D43—21no—
144C22×C4×C43—22no—
145C22×C4×C43—22no—
146C22×C4×C43—22no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—22no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—41no—
159C22×C4×C43—41no—
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43C2×D411yescharacteristic
165C22×C4×C43C2411yescharacteristic
166C2×C22⋊D43—24no—
167C2×C22⋊D43—42no—
168C2×C22⋊D43—42no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—21no—
177C2×D172C2×D412yes—
178C2×C4×D43—24no—
179C2×C4×D43—42no—
180C2×C4×D43—42no—
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86C2×D412yes—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—42no—
196C4⋊C4×C43—42no—
197C4⋊C4×C43—42no—
198C4⋊C4×C43—42no—
199C22⋊C4×C43—42no—
200C22⋊C4×C43—42no—
201C42×C43—22no—
202C42×C43—22no—
203C42×C43—21no—
204C42×C43—21no—
205C42×C43C2×D412yes—
206C42×C43C2×D412yes—
207C22⋊Dic43—24no—
208(C2×D43)⋊C4—24no—
209(C2×D43)⋊C4—24no—
210(C2×D43)⋊C4—24no—
211(C2×D43)⋊C4—24no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43C2×D412yes—
215C4⋊Dic43C2×D412yes—
216Dic43⋊C4—24no—
217Dic43⋊C4—24no—
218Dic43⋊C4—24no—
219Dic43⋊C4—24no—
220C4×Dic43—24no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8#4112yes—
232C2×C43⋊C8#4112yes—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43#13512yes—
240C23×C43C22×D411yescharacteristic
241C22×D43—22no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—44no—
261C2×C4×C43—44no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43#12012yes—
279C2×C4×C43#12012yes—
280C2×C4×C43#13512yes—
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43C22×D411yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C432−1+411yescharacteristic
286C2×C4×C432−1+411yescharacteristic
287C22⋊D43—48no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297D172—22no—
298D172—22no—
299D172—41no—
300D172—41no—
301C4×D43—48no—
302Dic86—22no—
303Dic86—22no—
304Dic86—41no—
305Dic86—41no—
306C43⋊C8—22no—
307C43⋊C8—22no—
308C43⋊C8—41no—
309C43⋊C8—41no—
310#25675—431nomaximal, Sylow
311C22×C43—22no—
312C22×C43—22no—
313C22×C43—22no—
314C22×C43—41no—
315C22×C43—41no—
316C22×C43—41no—
317C22×C43—41no—
318C22×C43C2×#12011yescharacteristic
319C22×C43#53211yescharacteristic
320C22×C43#53611yescharacteristic
321C22×C43C2×#13511yescharacteristic
322C22×C43C2×#13511yescharacteristic
323C22×C43#57511yescharacteristic
324C22×C43#57511yescharacteristic
325C2×D43—42no—
326C2×D43—42no—
327C2×D43—42no—
328C2×D43—81no—
329C2×D43—81no—
330C2×D43—81no—
331C2×D43—81no—
332C4×C43—22no—
333C4×C43—22no—
334C4×C43—22no—
335C4×C43—41no—
336C4×C43—41no—
337C4×C43—81no—
338C4×C43—81no—
339C4×C43—81no—
340C4×C43—81no—
341C4×C43#54711yescharacteristic
342C4×C43#54711yescharacteristic
343C4×C43#54811yescharacteristic
344C4×C43#54811yescharacteristic
345Dic43—42no—
346Dic43—42no—
347Dic43—42no—
348C2×#529—431no—
349C2×#499—431no—
350C2×#488—431no—
351#2851D4311yescharacteristic, complemented
352#2036—431no—
353#2035—431no—
354#2034—431no—
355#2033—431no—
356#1991—431no—
357#1958—431no—
358#1865—431no—
359#1864—431no—
360#1863—431no—
361#1862—431no—
362C4×C22⋊C8—431no—
363C2×C43—42no—
364C2×C43#243211yescharacteristic
365C2×C43#300211yescharacteristic
366C2×C43#300211yescharacteristic
367C2×C43#316811yescharacteristic
368C2×C43#318311yescharacteristic
369C2×C43#323211yescharacteristic
370C2×C43#323311yescharacteristic
371D43—82no—
372#529—864no—
373#529—864no—
374C2×#126—861no—
375C2×#125—431no—
376C2×#125C2×D4311yescharacteristic
377C2×#124—431no—
378C2×#123—861no—
379C2×C22⋊Q8—431no—
380C2×#121—431no—
381C2×C4×Q8—431no—
382C2×C4×D4—431no—
383C2×C4×D4—861no—
384C2×#117—861no—
385C22×C42C2×D4311yescharacteristic
386#499—864no—
387#488—864no—
388C2×#107—431no—
389C2×#107—431no—
390C2×#106—431no—
391C2×#106—431no—
392C2×#103—431no—
393C2×#103—431no—
394C2×#103—431no—
395C2×#103—431no—
396C2×#102—431no—
397C2×#102—431no—
398C2×#102—431no—
399C2×#102—431no—
400C2×C22⋊C8—431no—
401C2×C22⋊C8—431no—
402C2×C4×C8—431no—
403C2×C4×C8—431no—
404#389C2×D4311yescharacteristic
405#389C2×D4311yescharacteristic
406#387—21no—
407#387—21no—
408#385—21no—
409#385—21no—
410#382C2×D4311yescharacteristic
411#380C2×D4311yescharacteristic
412#380C2×D4311yescharacteristic
413#340—431no—
414#340—431no—
415#340—431no—
416#340—431no—
417#336—431no—
418#336—431no—
419C43#2567511yescharacteristic, complemented, Sylow
420C22×Q8—431no—
421C22×D4—431no—
422C22×D4—861no—
423C23×C4—861no—
424C23×C4C22⋊D4311yescharacteristic
425C23×C4C22⋊D4311yescharacteristic
426C23×C4C22×D4311yescharacteristic
427C22×C8—431no—
428C22×C8—431no—
429C22×C8—431no—
430C22×C8—431no—
431#126—868no—
432#125—22no—
433#125—22no—
434#125—434no—
435#125—862no—
436#124—434no—
437#124—862no—
438#123—868no—
439C22⋊Q8—862no—
440C22⋊Q8—862no—
441#121—862no—
442#121—862no—
443C4×Q8—862no—
444C4×Q8—862no—
445C4×D4—862no—
446C4×D4—862no—
447C4×D4—868no—
448#117—868no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4C22×D4311yescharacteristic
460C2×C4⋊C4C22×D4311yescharacteristic
461C2×C4⋊C4C22×D4311yescharacteristic
462C2×C4⋊C4C22×D4311yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C42—22no—
471C2×C42—22no—
472C2×C42—861no—
473C2×C42C22⋊D4311yescharacteristic
474C2×C42C22⋊D4311yescharacteristic
475C2×C42C22×D4311yescharacteristic
476C2×C42C22×D4311yescharacteristic
477#107—862no—
478#107—862no—
479#106—862no—
480#106—862no—
481#103—862no—
482#103—862no—
483#103—862no—
484#103—862no—
485#102—862no—
486#102—862no—
487#102—862no—
488#102—862no—
489C22⋊C8—862no—
490C22⋊C8—862no—
491C4×C8—862no—
492C4×C8—862no—
493#95—21no—
494#95—21no—
495#95—21no—
496#95—21no—
497#95—21no—
498#95—21no—
499C24—861no—
500C24C2×C22⋊D4311yescharacteristic
501C2×Q8—432no—
502C2×Q8—861no—
503C2×Q8—861no—
504C2×Q8—861no—
505C2×Q8—861no—
506C2×Q8—861no—
507C2×D4—432no—
508C2×D4—864no—
509C2×D4—861no—
510C2×D4—861no—
511C2×D4—861no—
512C2×D4—861no—
513C2×D4—861no—
514C2×D4—1722no—
515C2×D4—1722no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—41no—
531C22×C4—41no—
532C22×C4—864no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—1722no—
537C22×C4—1722no—
538C22×C4C2×C22⋊D4311yescharacteristic
539C22×C4C2×C22⋊D4311yescharacteristic
540C22×C4C2×C22⋊D4311yescharacteristic
541C22×C4C2×C22⋊D4311yescharacteristic
542C22×C4C2×C22⋊D4311yescharacteristic
543C22×C4C23×D4311yescharacteristic
544C2×C8—432no—
545C2×C8—432no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8—861no—
552C2×C8—861no—
553C2×C8—861no—
554C2×C8—861no—
555C2×C8—861no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—432no—
569C4⋊C4—432no—
570C4⋊C4—864no—
571C4⋊C4—864no—
572C4⋊C4—864no—
573C4⋊C4—864no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C22⋊C4—42no—
577C22⋊C4—42no—
578C22⋊C4—864no—
579C22⋊C4—864no—
580C22⋊C4—864no—
581C22⋊C4—864no—
582C22⋊C4—864no—
583C42—22no—
584C42—22no—
585C42—21no—
586C42—21no—
587C42—864no—
588C42D4×D4312yes—
589C42D4×D4312yes—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—862no—
597C23—1721no—
598C23—1721no—
599C23—1721no—
600C23—1721no—
601C23—1721no—
602C23—1721no—
603C23#1306334512yes—
604C23C22×C22⋊D4311yescharacteristic
605Q8—862no—
606Q8—862no—
607Q8—1721no—
608Q8—1721no—
609D4—862no—
610D4—862no—
611D4—1728no—
612D4—1721no—
613D4—1721no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—862no—
645C2×C4—862no—
646C2×C4—862no—
647C2×C4—1728no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4#1306329312yes—
655C2×C4#1306329312yes—
656C2×C4#1306334512yes—
657C2×C4C2×D4×D4311yescharacteristic
658C2×C4C2×D4×D4311yescharacteristic
659C2×C4#41×D4311yescharacteristic
660C2×C4#41×D4311yescharacteristic
661C2×C4#1306337311yescharacteristic
662C2×C4#1306337311yescharacteristic
663C8—862no—
664C8—862no—
665C8—1721no—
666C8—1721no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—3441no—
675C22—3441no—
676C22—3441no—
677C22—3441no—
678C22—1722no—
679C22—1722no—
680C22—1722no—
681C22C2×#1306329311yescharacteristic
682C22#1458344511yescharacteristic
683C22#1458347311yescharacteristic
684C22C2×#1306334511yescharacteristic
685C22C2×#1306334511yescharacteristic
686C22#1458369711yescharacteristic
687C22#1458369711yescharacteristic
688C4—22no—
689C4—22no—
690C4—22no—
691C4—41no—
692C4—41no—
693C4—81no—
694C4—81no—
695C4—81no—
696C4—81no—
697C4—1722no—
698C4—1722no—
699C4—1722no—
700C4#1458355111yescharacteristic
701C4#1458355111yescharacteristic
702C4#1458355911yescharacteristic
703C4#1458355911yescharacteristic
704C2—42no—
705C2—3442no—
706C2#1913822411yescharacteristic
707C2#1914381111yescharacteristic
708C2#1914381111yescharacteristic
709C2#1914515911yescharacteristic
710C2#1914531811yescharacteristic
711C2#1914576311yescharacteristic
712C2#1914577411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2851C2
socleC23×C43C22×D4
prime radicalC2×#13063299C22
hypercenter#2851D43
hypocenterC43#25675
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C22×C42 ◁ #2851

Complements

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

NH ≅ G/Ntype
2. C2×#14583298C2semidirect
3. C2×#14583256C2semidirect
4. #19135798C2semidirect
5. #19135791C2semidirect
8. #19135559C2semidirect
9. #19135404C2semidirect
10. #19134862C2semidirect
11. #19134855C2semidirect
12. #19134848C2semidirect
13. #19134841C2semidirect
14. C4×C22⋊(C43⋊C8)C2semidirect
15. C43×#2851C2semidirect
351. #2851D43semidirect
419. C43#25675semidirect

Maximal subgroups

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

subgroupindex
C2×#145834332
C2×#145832982
C2×#145832562
#191357982
#191357912
#191357842
#191357772
#191355592
#191354042
#191348622
#191348552
#191348482
#191348412
C4×C22⋊(C43⋊C8)2
C43×#28512
#2567543