Finite Group Databasebeta

← D47×#2283 #26374557

Subgroups — D47×#2283 #26374557

Order 12032.

3246 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C42×D47C211yesmaximal, characteristic
2#20245786C211yesmaximal, characteristic, complemented
3#20245785C212yesmaximal, complemented
4#20245784C212yesmaximal, complemented
5#20245783C212yesmaximal, complemented
6#20245782C212yesmaximal, complemented
7#20245781C212yesmaximal, complemented
8#20245780C212yesmaximal, complemented
9#20245779C212yesmaximal, complemented
10#383×D47C212yesmaximal, complemented
11#382×D47C212yesmaximal, complemented
12#381×D47C212yesmaximal
13#380×D47C212yesmaximal
14C4×C4⋊C4×D47C212yesmaximal, complemented
15C4×C22⋊C4×D47C212yesmaximal
16#376×D47C212yesmaximal, complemented
17C47×#2283C211yesmaximal, characteristic, complemented
18C23×C4×D47C2211yescharacteristic
19C23×C4×D47C2211yescharacteristic
20C23×C4×D47C2211yescharacteristic
21C2×C4⋊C4×D47C2214yes—
22C2×C22⋊C4×D47C2214yes—
23C22×C4×Dic47C2211yescharacteristic
24C22×C4×Dic47C2211yescharacteristic
25C22×C4×Dic47C2211yescharacteristic
26C2×C42×D47C4116yescomplemented
27C2×C42×D47C2214yes—
28C2×C42×D47C2211yescharacteristic
29C2×C42×D47C2211yescharacteristic
30C2×C42×D47C2211yescharacteristic
31C2×C42×D47C2211yescharacteristic
32C2×C42×D47C2211yescharacteristic
33C2×C42×D47C2211yescharacteristic
34C2×C42×D47C2211yescharacteristic
35C2×C42×D47C2211yescharacteristic
36#15688991C2212yescomplemented
37#15688990C2214yescomplemented
38#15688990C2214yescomplemented
39#15688990C2214yescomplemented
40#15688989C2212yescomplemented
41#15688988C2214yescomplemented
42#15688987C2214yescomplemented
43#15688987C2214yescomplemented
44#15688986C2212yes—
45#15688985C2214yes—
46#15688985C2214yes—
47#15688984C2214yes—
48#15688983C2212yes—
49#15688982C2214yes—
50#15688981C2214yes—
51#15688980C2214yes—
52C4⋊C4×Dic47C2214yescomplemented
53C4×Dic47⋊C4C2214yescomplemented
54C4×C4⋊Dic47C2212yescomplemented
55#15688974C2214yescomplemented
56C22⋊C4×Dic47C2214yes—
57C4×(C2×D47)⋊C4C2214yes—
58C4×C22⋊Dic47C2212yes—
59#15688970C2214yes—
60#15688969C2212yescomplemented
61#15688969C2214yescomplemented
62#15688968C2214yescomplemented
63#15688968C2214yescomplemented
64#95×D47C2214yes—
65#95×D47C2214yes—
66#95×D47C2214yes—
67#95×D47C2214yes—
68C22×C42×C47C2211yescharacteristic
69C47×#383C2212yescomplemented
70C47×#382C2212yescomplemented
71C47×#381C2212yes—
72C47×#380C2212yes—
73C4×C4⋊C4×C47C2212yescomplemented
74C4×C22⋊C4×C47C2212yes—
75C47×#376C2212yescomplemented
76C24×D47C2311yescharacteristic
77C23×Dic47C2311yescharacteristic
78C23×Dic47C2311yescharacteristic
79C23×Dic47C2311yescharacteristic
80C22×C4×D47—28no—
81C22×C4×D47—28no—
82C22×C4×D47—28no—
83C22×C4×D47C2×C418yes—
84C22×C4×D47C2×C418yes—
85C22×C4×D47C2×C418yes—
86C22×C4×D47C2318yes—
87C22×C4×D47C2311yescharacteristic
88C22×C4×D47C2311yescharacteristic
89C22×C4×D47C2311yescharacteristic
90C22×C4×D47C2311yescharacteristic
91C22×C4×D47C2311yescharacteristic
92C22×C4×D47C2311yescharacteristic
93C22×C4×D47C2311yescharacteristic
94C22×C4×D47C2311yescharacteristic
95C22×C4×D47C2311yescharacteristic
96C22×C4×D47C2311yescharacteristic
97C22×C4×D47C2311yescharacteristic
98C22×C4×D47C2311yescharacteristic
99C2×C4⋊Dic47C2314yes—
100C2×Dic47⋊C4C2318yes—
101C4⋊C4×D47—216no—
102C2×C22⋊Dic47C2314yes—
103C2×(C2×D47)⋊C4C2318yes—
104C22⋊C4×D47—216no—
105C2×C4×Dic47C2×C418yescomplemented
106C2×C4×Dic47C2×C418yescomplemented
107C2×C4×Dic47C2×C418yescomplemented
108C2×C4×Dic47C2318yes—
109C2×C4×Dic47C2314yes—
110C2×C4×Dic47C2311yescharacteristic
111C2×C4×Dic47C2311yescharacteristic
112C2×C4×Dic47C2311yescharacteristic
113C2×C4×Dic47C2311yescharacteristic
114C2×C4×Dic47C2311yescharacteristic
115C2×C4×Dic47C2311yescharacteristic
116C2×C4×Dic47C2311yescharacteristic
117C2×C4×Dic47C2311yescharacteristic
118C2×C4×Dic47C2311yescharacteristic
119C2×C4×Dic47C2311yescharacteristic
120C2×C4×Dic47C2311yescharacteristic
121C2×C4×Dic47C2311yescharacteristic
122C42×D47—216no—
123C42×D47C2×C418yes—
124C42×D47C2×C418yes—
125C42×D47C2×C418yes—
126C42×D47C2×C418yes—
127C42×D47C2×C418yescomplemented
128C42×D47C2×C418yescomplemented
129C42×D47C2×C418yescomplemented
130C42×D47C2×C418yescomplemented
131C47⋊#95C2318yes—
132C47⋊#95C2314yes—
133C47⋊#95C2318yes—
134C47⋊#95C2314yes—
135C47⋊#95C2314yes—
136C47⋊#95C2318yes—
137C47⋊#95C2314yes—
138C47⋊#95C2318yes—
139C23×C4×C47C2311yescharacteristic
140C23×C4×C47C2311yescharacteristic
141C23×C4×C47C2311yescharacteristic
142C2×C4⋊C4×C47C2314yes—
143C2×C22⋊C4×C47C2314yes—
144C2×C42×C47C2×C418yescomplemented
145C2×C42×C47C2314yes—
146C2×C42×C47C2311yescharacteristic
147C2×C42×C47C2311yescharacteristic
148C2×C42×C47C2311yescharacteristic
149C2×C42×C47C2311yescharacteristic
150#95×C47C2314yes—
151#95×C47C2314yes—
152#95×C47C2314yes—
153#95×C47C2314yes—
154C24×C47C2411yescharacteristic
155C23×D47—24no—
156C23×D47—24no—
157C23×D47C22×C414yes—
158C23×D47#4118yes—
159C23×D47C2411yescharacteristic
160C23×D47C2411yescharacteristic
161C22×C4×C47—24no—
162C22×C4×C47—24no—
163C22×C4×C47—24no—
164C22×C4×C47C22×C414yes—
165C22×C4×C47C22×C414yes—
166C22×C4×C47C22×C414yes—
167C22×C4×C47C2418yes—
168C22×C4×C47C2411yescharacteristic
169C22×C4×C47C2411yescharacteristic
170C22×C4×C47C2411yescharacteristic
171C22×C4×C47C2411yescharacteristic
172C22×C4×C47C2411yescharacteristic
173C22×C4×C47C2411yescharacteristic
174C22×Dic47—24no—
175C22×Dic47—24no—
176C22×Dic47—24no—
177C22×Dic47C22×C414yes—
178C22×Dic47C22×C414yes—
179C22×Dic47C22×C414yes—
180C22×Dic47C2418yes—
181C22×Dic47C2411yescharacteristic
182C22×Dic47C2411yescharacteristic
183C22×Dic47C2411yescharacteristic
184C22×Dic47C2411yescharacteristic
185C22×Dic47C2411yescharacteristic
186C22×Dic47C2411yescharacteristic
187C2×C4×D47—232no—
188C2×C4×D47—24no—
189C2×C4×D47—24no—
190C2×C4×D47—24no—
191C2×C4×D47—24no—
192C2×C4×D47—24no—
193C2×C4×D47—24no—
194C2×C4×D47—24no—
195C2×C4×D47—24no—
196C2×C4×D47—24no—
197C2×C4×D47—24no—
198C2×C4×D47—232no—
199C2×C4×D47—232no—
200C2×C4×D47—216no—
201C2×C4×D47—216no—
202C2×C4×D47—216no—
203C2×C4×D47C22×C414yes—
204C2×C4×D47C22×C414yes—
205C2×C4×D47C22×C414yes—
206C2×C4×D47C22×C414yes—
207C2×C4×D47C22×C414yes—
208C2×C4×D47C22×C414yes—
209C2×C4×D47C22×C414yes—
210C2×C4×D47C22×C414yes—
211C2×C4×D47C22×C414yes—
212C2×C4×D47C22×C414yes—
213C2×C4×D47C22×C414yes—
214C2×C4×D47C22×C414yes—
215C2×C4×D47#4118yes—
216C2×C4×D47#4118yes—
217C4⋊C4×C47—28no—
218C22⋊C4×C47—28no—
219C42×C47—28no—
220C42×C47C22×C414yes—
221C42×C47C22×C414yes—
222C42×C47C22×C414yes—
223C42×C47C22×C414yes—
224C22⋊Dic47—28no—
225(C2×D47)⋊C4—216no—
226C4⋊Dic47—28no—
227Dic47⋊C4—216no—
228C4×Dic47—28no—
229C4×Dic47—216no—
230C4×Dic47C22×C414yes—
231C4×Dic47C22×C414yes—
232C4×Dic47C22×C414yes—
233C4×Dic47C22×C414yes—
234C4×Dic47C22×C414yes—
235C4×Dic47C22×C414yes—
236C4×Dic47C22×C414yes—
237C4×Dic47C22×C414yes—
238C4×Dic47C22×C414yes—
239C4×Dic47C22×C414yes—
240C4×Dic47C22×C414yes—
241C4×Dic47C22×C414yes—
242C23×C47—22no—
243C23×C47—22no—
244C23×C47C23×C412yes—
245C23×C47C2×#4114yes—
246C23×C47C2511yescharacteristic
247C22×D47—22no—
248C22×D47—22no—
249C22×D47—28no—
250C22×D47—28no—
251C22×D47—232no—
252C22×D47#117116yes—
253C22×D47C23×C412yes—
254C22×D47C23×C412yes—
255C22×D47C2×#4114yes—
256C22×D47C2×#4114yes—
257C22×D47C2×#4114yes—
258C22×D47C2×#4114yes—
259C2×C4×C47—28no—
260C2×C4×C47—22no—
261C2×C4×C47—22no—
262C2×C4×C47—22no—
263C2×C4×C47—22no—
264C2×C4×C47—28no—
265C2×C4×C47—28no—
266C2×C4×C47—28no—
267C2×C4×C47—28no—
268C2×C4×C47—28no—
269C2×C4×C47C23×C412yes—
270C2×C4×C47C23×C412yes—
271C2×C4×C47C23×C412yes—
272C2×C4×C47C23×C412yes—
273C2×C4×C47C23×C412yes—
274C2×C4×C47C23×C412yes—
275C2×C4×C47C2×#4114yes—
276C2×C4×C47C2×#4114yes—
277C2×Dic47—28no—
278C2×Dic47—22no—
279C2×Dic47—22no—
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—28no—
283C2×Dic47—28no—
284C2×Dic47—28no—
285C2×Dic47—28no—
286C2×Dic47—28no—
287C2×Dic47C23×C412yes—
288C2×Dic47C23×C412yes—
289C2×Dic47C23×C412yes—
290C2×Dic47C23×C412yes—
291C2×Dic47C23×C412yes—
292C2×Dic47C23×C412yes—
293C2×Dic47C2×#4114yes—
294C2×Dic47C2×#4114yes—
295C4×D47—28no—
296C4×D47—28no—
297C4×D47—28no—
298C4×D47—28no—
299C4×D47—28no—
300C4×D47—28no—
301C4×D47—28no—
302C4×D47—28no—
303C4×D47—28no—
304C4×D47—28no—
305C4×D47—432no—
306C4×D47#117116yes—
307C4×D47#117116yes—
308C2×#2283—471nomaximal, Sylow
309C22×C47—22no—
310C22×C47—22no—
311C22×C47—28no—
312C22×C47C2×#11714yes—
313C22×C47C24×C411yescharacteristic
314C22×C47C22×#4112yes—
315C22×C47C22×#4112yes—
316C22×C47C22×#4112yes—
317C2×D47—22no—
318C2×D47—22no—
319C2×D47—28no—
320C2×D47—232no—
321C2×D47C2×#11714yes—
322C2×D47C2×#11714yes—
323C2×D47C2×#11714yes—
324C2×D47C2×#11714yes—
325C2×D47#529116yes—
326C4×C47—22no—
327C4×C47—22no—
328C4×C47—22no—
329C4×C47—22no—
330C4×C47—48no—
331C4×C47C2×#11714yes—
332C4×C47C2×#11714yes—
333Dic47—22no—
334Dic47—22no—
335Dic47—22no—
336Dic47—22no—
337Dic47—48no—
338Dic47C2×#11714yes—
339Dic47C2×#11714yes—
340C23×C42—471no—
341#2283—471no—
342#2283—472no—
343#2283—472no—
344#2283—472no—
345#2283—472no—
346#2283—472no—
347#2283—472no—
348#2283—472no—
349#2283D4711yescharacteristic, direct product factor
350C2×#383—472no—
351C2×#382—472no—
352C2×#381—472no—
353C2×#380—472no—
354C2×C4×C4⋊C4—472no—
355C2×C4×C22⋊C4—472no—
356C2×#376—472no—
357C2×C47—24no—
358C2×C47C22×#11711yescharacteristic
359C2×C47C22×#11711yescharacteristic
360C2×C47C22×#11711yescharacteristic
361C2×C47C2×#52914yes—
362D47—24no—
363D47#228318yesdirect product factor
364C24×C4—471no—
365C24×C4—471no—
366C24×C4—471no—
367C22×C4⋊C4—474no—
368C22×C22⋊C4—474no—
369C22×C42—471no—
370C22×C42—471no—
371C22×C42—471no—
372C22×C42—4716no—
373C22×C42—471no—
374C22×C42—471no—
375C22×C42—471no—
376C22×C42—471no—
377C22×C42—471no—
378C22×C42—471no—
379C22×C42—471no—
380C22×C42—471no—
381C22×C42—474no—
382C22×C42C2×D4711yescharacteristic
383#383—472no—
384#383—474no—
385#383—474no—
386#383—474no—
387#383C2×D4712yescomplemented
388#382—474no—
389#382—472no—
390#382—474no—
391#382—474no—
392#382C2×D4712yescomplemented
393#381—472no—
394#381—474no—
395#381—474no—
396#381—474no—
397#381C2×D4712yes—
398#380—472no—
399#380—474no—
400#380—474no—
401#380—474no—
402#380C2×D4712yes—
403C4×C4⋊C4—474no—
404C4×C4⋊C4—472no—
405C4×C4⋊C4—474no—
406C4×C4⋊C4—474no—
407C4×C4⋊C4C2×D4712yescomplemented
408C4×C22⋊C4—472no—
409C4×C22⋊C4—474no—
410C4×C22⋊C4—474no—
411C4×C22⋊C4—474no—
412C4×C22⋊C4C2×D4712yes—
413#376—474no—
414#376—472no—
415#376—474no—
416#376—474no—
417#376C2×D4712yescomplemented
418C2×#95—474no—
419C2×#95—474no—
420C2×#95—474no—
421C2×#95—474no—
422C47C2×#228311yescharacteristic, complemented, Sylow
423C25—471no—
424C23×C4—471no—
425C23×C4—471no—
426C23×C4—471no—
427C23×C4—471no—
428C23×C4—471no—
429C23×C4—478no—
430C23×C4—478no—
431C23×C4—478no—
432C23×C4—471no—
433C23×C4—471no—
434C23×C4—471no—
435C23×C4—471no—
436C23×C4—471no—
437C23×C4—471no—
438C23×C4—471no—
439C23×C4—471no—
440C23×C4—471no—
441C23×C4—471no—
442C23×C4—478no—
443C23×C4—948no—
444C23×C4—948no—
445C23×C4—948no—
446C23×C4C22×D4711yescharacteristic
447C23×C4C22×D4711yescharacteristic
448C23×C4C22×D4711yescharacteristic
449C2×C4⋊C4—478no—
450C2×C4⋊C4—474no—
451C2×C4⋊C4—9416no—
452C2×C4⋊C4C22×D4714yes—
453C2×C22⋊C4—474no—
454C2×C22⋊C4—478no—
455C2×C22⋊C4—9416no—
456C2×C22⋊C4C22×D4714yes—
457C2×C42—478no—
458C2×C42—478no—
459C2×C42—478no—
460C2×C42—471no—
461C2×C42—471no—
462C2×C42—471no—
463C2×C42—471no—
464C2×C42—471no—
465C2×C42—471no—
466C2×C42—471no—
467C2×C42—471no—
468C2×C42—471no—
469C2×C42—471no—
470C2×C42—471no—
471C2×C42—471no—
472C2×C42—478no—
473C2×C42—478no—
474C2×C42—478no—
475C2×C42—478no—
476C2×C42—478no—
477C2×C42—478no—
478C2×C42—478no—
479C2×C42—478no—
480C2×C42—478no—
481C2×C42—474no—
482C2×C42—9416no—
483C2×C42C4×D4718yescomplemented
484C2×C42C22×D4714yes—
485C2×C42C22×D4711yescharacteristic
486C2×C42C22×D4711yescharacteristic
487C2×C42C22×D4711yescharacteristic
488C2×C42C22×D4711yescharacteristic
489#95—478no—
490#95—474no—
491#95—478no—
492#95—474no—
493#95—478no—
494#95—474no—
495#95—478no—
496#95—474no—
497#95C22×D4714yes—
498#95C22×D4714yes—
499#95C22×D4714yes—
500#95C22×D4714yes—
501C24—471no—
502C24—474no—
503C24—478no—
504C24—471no—
505C24—944no—
506C24—944no—
507C24C23×D4711yescharacteristic
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—471no—
512C22×C4—471no—
513C22×C4—474no—
514C22×C4—474no—
515C22×C4—478no—
516C22×C4—478no—
517C22×C4—474no—
518C22×C4—474no—
519C22×C4—474no—
520C22×C4—471no—
521C22×C4—471no—
522C22×C4—471no—
523C22×C4—471no—
524C22×C4—474no—
525C22×C4—474no—
526C22×C4—474no—
527C22×C4—474no—
528C22×C4—474no—
529C22×C4—474no—
530C22×C4—474no—
531C22×C4—474no—
532C22×C4—474no—
533C22×C4—474no—
534C22×C4—478no—
535C22×C4—944no—
536C22×C4—944no—
537C22×C4—9432no—
538C22×C4—9432no—
539C22×C4—9432no—
540C22×C4—944no—
541C22×C4—944no—
542C22×C4—944no—
543C22×C4—944no—
544C22×C4—944no—
545C22×C4—944no—
546C22×C4—9416no—
547C22×C4—9416no—
548C22×C4—9416no—
549C22×C4—944no—
550C22×C4—944no—
551C22×C4—944no—
552C22×C4—944no—
553C22×C4—944no—
554C22×C4C2×C4×D4714yes—
555C22×C4C2×C4×D4714yes—
556C22×C4C2×C4×D4714yes—
557C22×C4C23×D4718yes—
558C22×C4C23×D4711yescharacteristic
559C22×C4C23×D4711yescharacteristic
560C22×C4C23×D4711yescharacteristic
561C22×C4C23×D4711yescharacteristic
562C22×C4C23×D4711yescharacteristic
563C22×C4C23×D4711yescharacteristic
564C4⋊C4—28no—
565C4⋊C4—9416no—
566C4⋊C4—948no—
567C22⋊C4—28no—
568C22⋊C4—9416no—
569C22⋊C4—948no—
570C42—28no—
571C42—474no—
572C42—474no—
573C42—474no—
574C42—474no—
575C42—474no—
576C42—474no—
577C42—474no—
578C42—474no—
579C42—474no—
580C42—474no—
581C42—474no—
582C42—474no—
583C42—9416no—
584C42—948no—
585C42C2×C4×D4714yes—
586C42C2×C4×D4714yes—
587C42C2×C4×D4714yes—
588C42C2×C4×D4714yes—
589C23—22no—
590C23—22no—
591C23—472no—
592C23—474no—
593C23—474no—
594C23—474no—
595C23—4716no—
596C23—472no—
597C23—474no—
598C23—948no—
599C23—948no—
600C23—9432no—
601C23—942no—
602C23—942no—
603C23C22×C4×D4712yes—
604C23#41×D4714yes—
605C23C24×D4711yescharacteristic
606C2×C4—28no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—28no—
612C2×C4—28no—
613C2×C4—28no—
614C2×C4—28no—
615C2×C4—28no—
616C2×C4—472no—
617C2×C4—472no—
618C2×C4—474no—
619C2×C4—474no—
620C2×C4—4716no—
621C2×C4—4716no—
622C2×C4—472no—
623C2×C4—472no—
624C2×C4—472no—
625C2×C4—472no—
626C2×C4—948no—
627C2×C4—948no—
628C2×C4—948no—
629C2×C4—948no—
630C2×C4—948no—
631C2×C4—948no—
632C2×C4—948no—
633C2×C4—948no—
634C2×C4—948no—
635C2×C4—948no—
636C2×C4—948no—
637C2×C4—942no—
638C2×C4—942no—
639C2×C4—942no—
640C2×C4—942no—
641C2×C4—948no—
642C2×C4—948no—
643C2×C4—948no—
644C2×C4—948no—
645C2×C4—948no—
646C2×C4—18832no—
647C2×C4C22×C4×D4712yes—
648C2×C4C22×C4×D4712yes—
649C2×C4C22×C4×D4712yes—
650C2×C4C22×C4×D4712yes—
651C2×C4C22×C4×D4712yes—
652C2×C4C22×C4×D4712yes—
653C2×C4#41×D4714yes—
654C2×C4#41×D4714yes—
655C22—22no—
656C22—22no—
657C22—28no—
658C22—474no—
659C22—474no—
660C22—474no—
661C22—4716no—
662C22—474no—
663C22—9432no—
664C22—942no—
665C22—942no—
666C22—948no—
667C22#117×D4714yes—
668C22C23×C4×D4711yescharacteristic
669C22C2×#41×D4712yes—
670C22C2×#41×D4712yes—
671C22C2×#41×D4712yes—
672C4—22no—
673C4—22no—
674C4—22no—
675C4—22no—
676C4—48no—
677C4—474no—
678C4—474no—
679C4—942no—
680C4—942no—
681C4—942no—
682C4—942no—
683C4—1888no—
684C4#117×D4714yes—
685C4#117×D4714yes—
686C2—24no—
687C2—478no—
688C2—944no—
689C2C2×#117×D4711yescharacteristic
690C2C2×#117×D4711yescharacteristic
691C2C2×#117×D4711yescharacteristic
692C2#529×D4714yes—
subgroupG/H
centerC22×C4C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC47×#2283C2
socle, cosocleC23×C47C25
prime radicalC24×D47C23
hypercenter#2283D47
hypocenterC47C2×#2283
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #2283

Complements

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

NH ≅ G/Ntype
2. #20245786C2semidirect
3. #20245785C2semidirect
4. #20245784C2semidirect
5. #20245783C2semidirect
6. #20245782C2semidirect
7. #20245781C2semidirect
8. #20245780C2semidirect
9. #20245779C2semidirect
10. #383×D47C2semidirect
11. #382×D47C2semidirect
14. C4×C4⋊C4×D47C2semidirect
16. #376×D47C2semidirect
17. C47×#2283C2semidirect
26. C2×C42×D47C4semidirect
36. #15688991C22semidirect
37. #15688990C22semidirect
38. #15688990C22semidirect
39. #15688990C22semidirect
40. #15688989C22semidirect
41. #15688988C22semidirect
42. #15688987C22semidirect
43. #15688987C22semidirect
52. C4⋊C4×Dic47C22semidirect
53. C4×Dic47⋊C4C22semidirect
54. C4×C4⋊Dic47C22semidirect
55. #15688974C22semidirect
60. #15688969C22semidirect
61. #15688969C22semidirect
62. #15688968C22semidirect
63. #15688968C22semidirect
69. C47×#383C22semidirect
70. C47×#382C22semidirect
73. C4×C4⋊C4×C47C22semidirect
75. C47×#376C22semidirect
105. C2×C4×Dic47C2×C4semidirect
106. C2×C4×Dic47C2×C4semidirect
107. C2×C4×Dic47C2×C4semidirect
127. C42×D47C2×C4semidirect
128. C42×D47C2×C4semidirect
129. C42×D47C2×C4semidirect
130. C42×D47C2×C4semidirect
144. C2×C42×C47C2×C4semidirect
349. #2283D47direct (N × H)
363. D47#2283direct (N × H)
387. #383C2×D47semidirect
392. #382C2×D47semidirect
407. C4×C4⋊C4C2×D47semidirect
417. #376C2×D47semidirect
422. C47C2×#2283semidirect
483. C2×C42C4×D47semidirect

Maximal subgroups

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

subgroupindex
C22×C42×D472
#202457862
#202457852
#202457842
#202457832
#202457822
#202457812
#202457802
#202457792
#383×D472
#382×D472
#381×D472
#380×D472
C4×C4⋊C4×D472
C4×C22⋊C4×D472
#376×D472
C47×#22832
C2×#228347