Finite Group Databasebeta

← D47×#2314 #26374867

Subgroups — D47×#2314 #26374867

Order 12032.

2678 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D47C211yesmaximal, characteristic
2#20245998C211yesmaximal, characteristic, complemented
3#20245997C211yesmaximal, characteristic, complemented
4#20245996C211yesmaximal, characteristic, complemented
5#20245995C212yesmaximal, complemented
6#20245994C214yesmaximal, complemented
7#20245993C212yesmaximal, complemented
8#20245992C214yesmaximal, complemented
9#388×D47C214yesmaximal
10#387×D47C214yesmaximal, complemented
11#384×D47C211yesmaximal, characteristic, complemented
12#382×D47C211yesmaximal, characteristic, complemented
13#380×D47C212yesmaximal
14C4×C4⋊C4×D47C212yesmaximal, complemented
15C47×#2314C211yesmaximal, characteristic, complemented
16C23×C4×D47C2211yescharacteristic
17C2×#13093983C2211yescharacteristic
18C2×#13093982C2212yes—
19C2×#13093981C2211yescharacteristic
20C2×#13093981C2211yescharacteristic
21C2×#13093980C2212yes—
22#117×D47C4116yescomplemented
23C2×C4⋊C4×D47C2212yes—
24C2×C4⋊C4×D47C2212yes—
25C2×C4⋊C4×D47C2214yes—
26C2×C4⋊C4×D47C2212yes—
27C2×C22⋊C4×D47C2214yes—
28C2×C22⋊C4×D47C2212yes—
29C2×C42×D47C2214yes—
30C2×C42×D47C2211yescharacteristic
31C2×C42×D47C2211yescharacteristic
32#15689017C2214yes—
33#15689016C2214yes—
34#15689015C2214yes—
35#15689014C2214yes—
36#15689013C2214yes—
37#15689012C2214yes—
38#15689011C2214yes—
39#15689010C2214yescomplemented
40#15689009C2214yescomplemented
41#15689008C2214yescomplemented
42#15689007C2214yescomplemented
43#15689006C2214yescomplemented
44#15689005C2214yescomplemented
45#15689004C2214yescomplemented
46#15688993C2211yescharacteristic, complemented
47#15688992C2214yescomplemented
48#15688992C2212yescomplemented
49#15688989C2211yescharacteristic, complemented
50#15688988C2212yescomplemented
51#15688987C2214yescomplemented
52#15688983C2212yes—
53#15688982C2214yes—
54#15688981C2214yes—
55#15688980C2212yes—
56#15688980C2212yes—
57C4⋊C4×Dic47C2212yescomplemented
58C4⋊C4×Dic47C2212yescomplemented
59C4×Dic47⋊C4C2214yescomplemented
60C4×C4⋊Dic47C2212yescomplemented
61#15688974C2214yescomplemented
62#95×D47C2214yes—
63#95×D47C2214yes—
64#95×D47C2214yes—
65C2×#117×C47C2211yescharacteristic
66C47×#388C2214yes—
67C47×#387C2214yescomplemented
68C47×#384C2211yescharacteristic, complemented
69C47×#382C2211yescharacteristic, complemented
70C47×#380C2212yes—
71C4×C4⋊C4×C47C2212yescomplemented
72C24×D47C2311yescharacteristic
73C23×Dic47C2311yescharacteristic
74C22×C4×D47—24no—
75C22×C4×D47—24no—
76C22×C4×D47C2×C418yes—
77C22×C4×D47C2314yes—
78C22×C4×D47C2314yes—
79C22×C4×D47C2311yescharacteristic
80C22×C4×D47C2312yes—
81C22×C4×D47C2312yes—
82C22×C4×D47C2311yescharacteristic
83C22×C4×D47C2311yescharacteristic
84C22×C4×D47C2311yescharacteristic
85#13093983C2×C418yescomplemented
86#13093982C2×C4116yescomplemented
87#13093981C2×C418yescomplemented
88#13093981C2×C418yescomplemented
89#13093980C2×C4116yescomplemented
90C2×C4⋊Dic47C2312yes—
91C2×C4⋊Dic47C2312yes—
92C2×C4⋊Dic47C2314yes—
93C2×C4⋊Dic47C2312yes—
94C2×Dic47⋊C4C2314yes—
95C2×Dic47⋊C4C2314yes—
96C2×Dic47⋊C4C2314yes—
97C2×Dic47⋊C4C2314yes—
98C2×Dic47⋊C4C2312yes—
99C2×Dic47⋊C4C2312yes—
100C4⋊C4×D47—28no—
101C4⋊C4×D47—28no—
102C4⋊C4×D47—48no—
103C4⋊C4×D47C2×C4116yes—
104C2×C22⋊Dic47C2314yes—
105C2×C22⋊Dic47C2312yes—
106C2×(C2×D47)⋊C4C2314yes—
107C2×(C2×D47)⋊C4C2314yes—
108C2×(C2×D47)⋊C4C2312yes—
109C2×(C2×D47)⋊C4C2312yes—
110C22⋊C4×D47—48no—
111C22⋊C4×D47C2×C4116yes—
112C2×C4×Dic47C2314yes—
113C2×C4×Dic47C2314yes—
114C2×C4×Dic47C2314yes—
115C2×C4×Dic47C2312yes—
116C2×C4×Dic47C2311yescharacteristic
117C2×C4×Dic47C2312yes—
118C2×C4×Dic47C2311yescharacteristic
119C42×D47—48no—
120C42×D47C2×C418yes—
121C42×D47C2×C418yes—
122C47⋊#95C2314yes—
123C47⋊#95C2314yes—
124C47⋊#95C2314yes—
125C47⋊#95C2314yes—
126C47⋊#95C2314yes—
127C47⋊#95C2314yes—
128C47⋊#95C2314yes—
129C47⋊#95C2314yes—
130C47⋊#95C2314yes—
131C23×C4×C47C2311yescharacteristic
132#117×C47C2×C418yescomplemented
133C2×C4⋊C4×C47C2312yes—
134C2×C4⋊C4×C47C2312yes—
135C2×C4⋊C4×C47C2314yes—
136C2×C4⋊C4×C47C2312yes—
137C2×C22⋊C4×C47C2314yes—
138C2×C22⋊C4×C47C2312yes—
139C2×C42×C47C2314yes—
140C2×C42×C47C2311yescharacteristic
141C2×C42×C47C2311yescharacteristic
142#95×C47C2314yes—
143#95×C47C2314yes—
144#95×C47C2314yes—
145C24×C47C2411yescharacteristic
146C23×D47—22no—
147C23×D47—22no—
148C23×D47—24no—
149C23×D47—24no—
150C23×D47C22×C414yes—
151C23×D47C2411yescharacteristic
152C23×D47C2411yescharacteristic
153C22×C4×C47—22no—
154C22×C4×C47—22no—
155C22×C4×C47C22×C414yes—
156C22×C4×C47C2414yes—
157C22×C4×C47C2414yes—
158C22×C4×C47C2412yes—
159C22×C4×C47C2412yes—
160C22×C4×C47C2411yescharacteristic
161C22×C4×C47C2411yescharacteristic
162C22×Dic47—22no—
163C22×Dic47—22no—
164C22×Dic47C22×C414yes—
165C22×Dic47C2414yes—
166C22×Dic47C2414yes—
167C22×Dic47C2411yescharacteristic
168C22×Dic47C2412yes—
169C22×Dic47C2412yes—
170C22×Dic47C2411yescharacteristic
171C2×C4×D47—22no—
172C2×C4×D47—22no—
173C2×C4×D47—24no—
174C2×C4×D47—24no—
175C2×C4×D47—24no—
176C2×C4×D47—24no—
177C2×C4×D47—22no—
178C2×C4×D47—22no—
179C2×C4×D47—22no—
180C2×C4×D47—22no—
181C2×C4×D47—232no—
182C2×C4×D47—28no—
183C2×C4×D47—28no—
184C2×C4×D47—28no—
185C2×C4×D47—28no—
186C2×C4×D47—28no—
187C2×C4×D47—28no—
188C2×C4×D47C22×C418yes—
189C2×C4×D47C22×C418yes—
190C2×C4×D47C22×C414yes—
191C2×C4×D47C22×C414yes—
192C2×C4×D47C22×C414yes—
193C2×C4×D47C22×C414yes—
194C2×C4×D47#4114yes—
195C2×C4×D47#4114yes—
196C4⋊C4×C47—24no—
197C4⋊C4×C47—24no—
198C4⋊C4×C47—44no—
199C4⋊C4×C47C22×C418yes—
200C22⋊C4×C47—44no—
201C22⋊C4×C47C22×C418yes—
202C42×C47—44no—
203C42×C47C22×C414yes—
204C42×C47C22×C414yes—
205C22⋊Dic47—44no—
206C22⋊Dic47C22×C418yes—
207(C2×D47)⋊C4—44no—
208(C2×D47)⋊C4—44no—
209(C2×D47)⋊C4C22×C418yes—
210(C2×D47)⋊C4C22×C418yes—
211C4⋊Dic47—24no—
212C4⋊Dic47—24no—
213C4⋊Dic47—44no—
214C4⋊Dic47C22×C418yes—
215Dic47⋊C4—28no—
216Dic47⋊C4—28no—
217Dic47⋊C4—44no—
218Dic47⋊C4—44no—
219Dic47⋊C4C22×C418yes—
220Dic47⋊C4C22×C418yes—
221C4×Dic47—44no—
222C4×Dic47—44no—
223C4×Dic47—44no—
224C4×Dic47C22×C418yes—
225C4×Dic47C22×C418yes—
226C4×Dic47C22×C414yes—
227C4×Dic47C22×C414yes—
228C23×C47—21no—
229C23×C47—21no—
230C23×C47—22no—
231C23×C47—22no—
232C23×C47C23×C412yes—
233C23×C47C2511yescharacteristic
234C22×D47—21no—
235C22×D47—21no—
236C22×D47—22no—
237C22×D47—22no—
238C22×D47—28no—
239C22×D47—216no—
240C22×D47—44no—
241C22×D47—44no—
242C22×D47—48no—
243C22×D47C23×C412yes—
244C22×D47C23×C412yes—
245C22×D47C2×#4112yes—
246C22×D47C2×#4112yes—
247C22×D47H(5,𝔽2)14yes—
248C22×D472−1+414yes—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—28no—
256C2×C4×C47—24no—
257C2×C4×C47—24no—
258C2×C4×C47—24no—
259C2×C4×C47—24no—
260C2×C4×C47—24no—
261C2×C4×C47—24no—
262C2×C4×C47C23×C414yes—
263C2×C4×C47C23×C414yes—
264C2×C4×C47C23×C412yes—
265C2×C4×C47C23×C412yes—
266C2×C4×C47C2×#4112yes—
267C2×C4×C47C2×#4112yes—
268C2×Dic47—21no—
269C2×Dic47—21no—
270C2×Dic47—22no—
271C2×Dic47—22no—
272C2×Dic47—22no—
273C2×Dic47—22no—
274C2×Dic47—28no—
275C2×Dic47—24no—
276C2×Dic47—24no—
277C2×Dic47—24no—
278C2×Dic47—24no—
279C2×Dic47—24no—
280C2×Dic47—24no—
281C2×Dic47C23×C414yes—
282C2×Dic47C23×C414yes—
283C2×Dic47C23×C412yes—
284C2×Dic47C23×C412yes—
285C2×Dic47C2×#4112yes—
286C2×Dic47C2×#4112yes—
287C4×D47—28no—
288C4×D47—216no—
289C4×D47—216no—
290C4×D47—28no—
291C4×D47—28no—
292C4×D47—416no—
293C4×D47—416no—
294C4×D47#117116yes—
295C2×#2314—471nomaximal, Sylow
296C22×C47—22no—
297C22×C47—24no—
298C22×C47—41no—
299C22×C47—41no—
300C22×C47—42no—
301C22×C47C24×C411yescharacteristic
302C22×C47C22×#4111yescharacteristic
303C22×C47C22×#4111yescharacteristic
304C22×C47C2×H(5,𝔽2)12yes—
305C22×C47C2×2−1+412yes—
306C2×D47—22no—
307C2×D47—24no—
308C2×D47—41no—
309C2×D47—41no—
310C2×D47—42no—
311C2×D47—416no—
312C2×D47C2×#11714yes—
313C2×D47#52018yes—
314C2×D47#54014yes—
315C2×D47#54114yes—
316C2×D47#54218yes—
317C4×C47—22no—
318C4×C47—24no—
319C4×C47—24no—
320C4×C47—44no—
321C4×C47—44no—
322C4×C47C2×#11714yes—
323Dic47—22no—
324Dic47—24no—
325Dic47—24no—
326Dic47—44no—
327Dic47—44no—
328Dic47C2×#11714yes—
329C22×#117—471no—
330#2314—474no—
331#2314—474no—
332#2314—471no—
333#2314—471no—
334#2314—472no—
335#2314—472no—
336#2314—471no—
337#2314D4711yescharacteristic, direct product factor
338C2×#388—474no—
339C2×#387—474no—
340C2×#384—471no—
341C2×#382—471no—
342C2×#380—472no—
343C2×C4×C4⋊C4—472no—
344C2×C47—42no—
345C2×C47C22×#11711yescharacteristic
346C2×C47C2×#52012yes—
347C2×C47C2×#54011yescharacteristic
348C2×C47C2×#54111yescharacteristic
349C2×C47C2×#54212yes—
350D47—42no—
351D47#231418yesdirect product factor
352C24×C4—471no—
353C2×#117—471no—
354C2×#117—4716no—
355C2×#117—472no—
356C2×#117—472no—
357C2×#117—471no—
358C2×#117—471no—
359C2×#117C2×D4711yescharacteristic
360C22×C4⋊C4—472no—
361C22×C4⋊C4—472no—
362C22×C4⋊C4—472no—
363C22×C4⋊C4—474no—
364C22×C22⋊C4—472no—
365C22×C22⋊C4—474no—
366C22×C42—471no—
367C22×C42—471no—
368C22×C42—474no—
369#388—474no—
370#388—474no—
371#388—474no—
372#388—474no—
373#388—474no—
374#388—474no—
375#388—474no—
376#388C2×D4714yes—
377#387—474no—
378#387—474no—
379#387—474no—
380#387—474no—
381#387—474no—
382#387—474no—
383#387—474no—
384#387C2×D4714yescomplemented
385#384—474no—
386#384—472no—
387#384—471no—
388#384C2×D4711yescharacteristic, complemented
389#382—472no—
390#382—471no—
391#382—474no—
392#382C2×D4711yescharacteristic, complemented
393#380—472no—
394#380—472no—
395#380—472no—
396#380—474no—
397#380—474no—
398#380C2×D4712yes—
399C4×C4⋊C4—472no—
400C4×C4⋊C4—472no—
401C4×C4⋊C4—472no—
402C4×C4⋊C4—474no—
403C4×C4⋊C4—474no—
404C4×C4⋊C4C2×D4712yescomplemented
405C2×#95—474no—
406C2×#95—474no—
407C2×#95—474no—
408C47C2×#231411yescharacteristic, complemented, Sylow
409C25—471no—
410C23×C4—471no—
411C23×C4—471no—
412C23×C4—478no—
413C23×C4—472no—
414C23×C4—472no—
415C23×C4—471no—
416C23×C4—471no—
417C23×C4—471no—
418C23×C4—474no—
419C23×C4—474no—
420C23×C4—944no—
421C23×C4—944no—
422C23×C4C22×D4711yescharacteristic
423#117—478no—
424#117—4716no—
425#117—4716no—
426#117—478no—
427#117—478no—
428#117C4×D4718yescomplemented
429C2×C4⋊C4—472no—
430C2×C4⋊C4—472no—
431C2×C4⋊C4—472no—
432C2×C4⋊C4—4716no—
433C2×C4⋊C4—474no—
434C2×C4⋊C4—474no—
435C2×C4⋊C4—472no—
436C2×C4⋊C4—472no—
437C2×C4⋊C4—474no—
438C2×C4⋊C4—474no—
439C2×C4⋊C4—474no—
440C2×C4⋊C4—948no—
441C2×C4⋊C4—948no—
442C2×C4⋊C4—1888no—
443C2×C4⋊C4C22×D4712yes—
444C2×C4⋊C4C22×D4712yes—
445C2×C4⋊C4C22×D4714yes—
446C2×C4⋊C4C22×D4712yes—
447C2×C22⋊C4—472no—
448C2×C22⋊C4—472no—
449C2×C22⋊C4—472no—
450C2×C22⋊C4—4716no—
451C2×C22⋊C4—474no—
452C2×C22⋊C4—474no—
453C2×C22⋊C4—474no—
454C2×C22⋊C4—1888no—
455C2×C22⋊C4C22×D4714yes—
456C2×C22⋊C4C22×D4712yes—
457C2×C42—472no—
458C2×C42—471no—
459C2×C42—472no—
460C2×C42—471no—
461C2×C42—478no—
462C2×C42—478no—
463C2×C42—474no—
464C2×C42—474no—
465C2×C42—474no—
466C2×C42—1888no—
467C2×C42C22×D4714yes—
468C2×C42C22×D4711yescharacteristic
469C2×C42C22×D4711yescharacteristic
470#95—474no—
471#95—474no—
472#95—474no—
473#95—474no—
474#95—474no—
475#95—474no—
476#95—474no—
477#95—474no—
478#95—474no—
479#95C22×D4714yes—
480#95C22×D4714yes—
481#95C22×D4714yes—
482C24—471no—
483C24—474no—
484C24—471no—
485C24—944no—
486C24—942no—
487C24—942no—
488C24—944no—
489C24C23×D4711yescharacteristic
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—471no—
493C22×C4—474no—
494C22×C4—474no—
495C22×C4—474no—
496C22×C4—474no—
497C22×C4—471no—
498C22×C4—472no—
499C22×C4—472no—
500C22×C4—478no—
501C22×C4—478no—
502C22×C4—474no—
503C22×C4—474no—
504C22×C4—474no—
505C22×C4—474no—
506C22×C4—474no—
507C22×C4—942no—
508C22×C4—942no—
509C22×C4—9432no—
510C22×C4—944no—
511C22×C4—944no—
512C22×C4—944no—
513C22×C4—944no—
514C22×C4—942no—
515C22×C4—942no—
516C22×C4—948no—
517C22×C4—948no—
518C22×C4—948no—
519C22×C4—948no—
520C22×C4—948no—
521C22×C4—948no—
522C22×C4—942no—
523C22×C4—942no—
524C22×C4—942no—
525C22×C4—942no—
526C22×C4C2×C4×D4714yes—
527C22×C4C23×D4714yes—
528C22×C4C23×D4714yes—
529C22×C4C23×D4711yescharacteristic
530C22×C4C23×D4712yes—
531C22×C4C23×D4712yes—
532C22×C4C23×D4711yescharacteristic
533C4⋊C4—24no—
534C4⋊C4—24no—
535C4⋊C4—44no—
536C4⋊C4—478no—
537C4⋊C4—478no—
538C4⋊C4—478no—
539C4⋊C4—948no—
540C4⋊C4—948no—
541C4⋊C4—944no—
542C4⋊C4—944no—
543C4⋊C4—1884no—
544C4⋊C4—1884no—
545C4⋊C4—1884no—
546C4⋊C4C2×C4×D4718yes—
547C22⋊C4—44no—
548C22⋊C4—478no—
549C22⋊C4—478no—
550C22⋊C4—478no—
551C22⋊C4—1884no—
552C22⋊C4—1884no—
553C22⋊C4—1884no—
554C22⋊C4C2×C4×D4718yes—
555C42—44no—
556C42—478no—
557C42—478no—
558C42—474no—
559C42—474no—
560C42—1884no—
561C42—1884no—
562C42—1884no—
563C42C2×C4×D4714yes—
564C42C2×C4×D4714yes—
565C23—21no—
566C23—21no—
567C23—22no—
568C23—22no—
569C23—472no—
570C23—472no—
571C23—472no—
572C23—474no—
573C23—474no—
574C23—472no—
575C23—948no—
576C23—9416no—
577C23—941no—
578C23—941no—
579C23—942no—
580C23—942no—
581C23—1884no—
582C23—1884no—
583C23—1888no—
584C23C22×C4×D4712yes—
585C23C24×D4711yescharacteristic
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—28no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—472no—
600C2×C4—472no—
601C2×C4—472no—
602C2×C4—4716no—
603C2×C4—474no—
604C2×C4—474no—
605C2×C4—472no—
606C2×C4—948no—
607C2×C4—9416no—
608C2×C4—9416no—
609C2×C4—948no—
610C2×C4—948no—
611C2×C4—941no—
612C2×C4—941no—
613C2×C4—942no—
614C2×C4—942no—
615C2×C4—942no—
616C2×C4—942no—
617C2×C4—948no—
618C2×C4—944no—
619C2×C4—944no—
620C2×C4—944no—
621C2×C4—944no—
622C2×C4—944no—
623C2×C4—944no—
624C2×C4—18816no—
625C2×C4—18816no—
626C2×C4C22×C4×D4714yes—
627C2×C4C22×C4×D4714yes—
628C2×C4C22×C4×D4712yes—
629C2×C4C22×C4×D4712yes—
630C2×C4#41×D4712yes—
631C2×C4#41×D4712yes—
632C22—22no—
633C22—24no—
634C22—41no—
635C22—41no—
636C22—42no—
637C22—474no—
638C22—478no—
639C22—474no—
640C22—474no—
641C22—478no—
642C22—942no—
643C22—944no—
644C22—18816no—
645C22—1881no—
646C22—1881no—
647C22—1882no—
648C22C23×C4×D4711yescharacteristic
649C22C2×#41×D4711yescharacteristic
650C22C2×#41×D4711yescharacteristic
651C22H(5,𝔽2)×D4712yes—
652C222−1+4×D4712yes—
653C4—22no—
654C4—24no—
655C4—24no—
656C4—44no—
657C4—44no—
658C4—474no—
659C4—942no—
660C4—944no—
661C4—944no—
662C4—1884no—
663C4—1884no—
664C4#117×D4714yes—
665C2—42no—
666C2—478no—
667C2—1882no—
668C2C2×#117×D4711yescharacteristic
669C2#520×D4712yes—
670C2#540×D4711yescharacteristic
671C2#541×D4711yescharacteristic
672C2#542×D4712yes—
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2314C2
socle, cosocleC23×C47C25
prime radicalC24×D47C23
hypercenter#2314D47
hypocenterC47C2×#2314
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2314

Complements

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

NH ≅ G/Ntype
2. #20245998C2semidirect
3. #20245997C2semidirect
4. #20245996C2semidirect
5. #20245995C2semidirect
6. #20245994C2semidirect
7. #20245993C2semidirect
8. #20245992C2semidirect
10. #387×D47C2semidirect
11. #384×D47C2semidirect
12. #382×D47C2semidirect
14. C4×C4⋊C4×D47C2semidirect
15. C47×#2314C2semidirect
22. #117×D47C4semidirect
39. #15689010C22semidirect
40. #15689009C22semidirect
41. #15689008C22semidirect
42. #15689007C22semidirect
43. #15689006C22semidirect
44. #15689005C22semidirect
45. #15689004C22semidirect
46. #15688993C22semidirect
47. #15688992C22semidirect
48. #15688992C22semidirect
49. #15688989C22semidirect
50. #15688988C22semidirect
51. #15688987C22semidirect
57. C4⋊C4×Dic47C22semidirect
58. C4⋊C4×Dic47C22semidirect
59. C4×Dic47⋊C4C22semidirect
60. C4×C4⋊Dic47C22semidirect
61. #15688974C22semidirect
67. C47×#387C22semidirect
68. C47×#384C22semidirect
69. C47×#382C22semidirect
71. C4×C4⋊C4×C47C22semidirect
85. #13093983C2×C4semidirect
86. #13093982C2×C4semidirect
87. #13093981C2×C4semidirect
88. #13093981C2×C4semidirect
89. #13093980C2×C4semidirect
132. #117×C47C2×C4semidirect
337. #2314D47direct (N × H)
351. D47#2314direct (N × H)
384. #387C2×D47semidirect
388. #384C2×D47semidirect
392. #382C2×D47semidirect
404. C4×C4⋊C4C2×D47semidirect
408. C47C2×#2314semidirect
428. #117C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#117×D472
#202459982
#202459972
#202459962
#202459952
#202459942
#202459932
#202459922
#388×D472
#387×D472
#384×D472
#382×D472
#380×D472
C4×C4⋊C4×D472
C47×#23142
C2×#231447