Finite Group Databasebeta

← D47×#2280 #26374543

Subgroups — D47×#2280 #26374543

Order 12032.

7630 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×C4×D47C211yesmaximal, characteristic
2C2×#117×D47C212yesmaximal, complemented
3#20245771C211yesmaximal, characteristic, complemented
4#20245770C214yesmaximal, complemented
5#20245769C214yesmaximal, complemented
6#20245768C212yesmaximal, complemented
7#20245767C212yesmaximal, complemented
8#20245766C212yesmaximal, complemented
9#381×D47C212yesmaximal, complemented
10#380×D47C214yesmaximal, complemented
11#379×D47C212yesmaximal
12C4×C22⋊C4×D47C214yesmaximal, complemented
13C47×#2280C211yesmaximal, characteristic, complemented
14C25×D47C2211yescharacteristic
15C24×Dic47C2211yescharacteristic
16C23×C4×D47—216no—
17C23×C4×D47C4116yescomplemented
18C23×C4×D47C2211yescharacteristic
19C23×C4×D47C2212yes—
20C23×C4×D47C2212yes—
21C23×C4×D47C2211yescharacteristic
22C23×C4×D47C2211yescharacteristic
23C23×C4×D47C2212yes—
24C23×C4×D47C2212yes—
25C23×C4×D47C2211yescharacteristic
26C2×#13093983C2212yescomplemented
27C2×#13093982C2214yescomplemented
28C2×#13093981C2214yescomplemented
29C2×#13093980C2214yescomplemented
30#117×D47—216no—
31C2×C4⋊C4×D47C2214yescomplemented
32C2×C22⋊C4×D47C2214yes—
33C2×C22⋊C4×D47C2218yes—
34C2×C42×D47C2214yescomplemented
35#15688986C2212yescomplemented
36#15688985C2218yescomplemented
37#15688984C2214yescomplemented
38#15688983C2214yescomplemented
39#15688982C2218yescomplemented
40#15688981C2218yescomplemented
41#15688980C2218yescomplemented
42#15688979C2212yes—
43#15688978C2214yes—
44#15688978C2218yes—
45C22⋊C4×Dic47C2218yescomplemented
46C4×(C2×D47)⋊C4C2218yescomplemented
47C4×C22⋊Dic47C2214yescomplemented
48#15688970C2218yescomplemented
49#95×D47C2218yescomplemented
50C24×C4×C47C2211yescharacteristic
51C2×#117×C47C2212yescomplemented
52C47×#381C2212yescomplemented
53C47×#380C2214yescomplemented
54C47×#379C2212yes—
55C4×C22⋊C4×C47C2214yescomplemented
56C24×D47—28no—
57C24×D47—216no—
58C24×D47C2×C418yes—
59C24×D47C2311yescharacteristic
60C24×D47C2312yes—
61C24×D47C2311yescharacteristic
62C24×D47C2312yes—
63C23×Dic47—28no—
64C23×Dic47C2×C418yescomplemented
65C23×Dic47C2312yes—
66C23×Dic47C2312yes—
67C23×Dic47C2311yescharacteristic
68C23×Dic47C2311yescharacteristic
69C22×C4×D47—28no—
70C22×C4×D47—28no—
71C22×C4×D47—28no—
72C22×C4×D47—2128no—
73C22×C4×D47—216no—
74C22×C4×D47—216no—
75C22×C4×D47—216no—
76C22×C4×D47—216no—
77C22×C4×D47C2×C418yes—
78C22×C4×D47C2×C4116yes—
79C22×C4×D47C2×C4116yes—
80C22×C4×D47C2×C418yes—
81C22×C4×D47C2×C418yescomplemented
82C22×C4×D47C2×C418yescomplemented
83C22×C4×D47C2×C4116yescomplemented
84C22×C4×D47C2×C4116yescomplemented
85C22×C4×D47D4116yes—
86C22×C4×D47C2318yes—
87C22×C4×D47C2312yes—
88C22×C4×D47C2312yes—
89C22×C4×D47C2312yes—
90C22×C4×D47C2312yes—
91C22×C4×D47C2312yes—
92C22×C4×D47C2312yes—
93C22×C4×D47C2311yescharacteristic
94C22×C4×D47C2311yescharacteristic
95C22×C4×D47C2311yescharacteristic
96C22×C4×D47C2311yescharacteristic
97#13093983—28no—
98#13093982—216no—
99#13093981—216no—
100#13093980—216no—
101C2×C4⋊Dic47C2314yescomplemented
102C2×Dic47⋊C4C2318yescomplemented
103C4⋊C4×D47—216no—
104C2×C22⋊Dic47C2318yes—
105C2×C22⋊Dic47C2314yes—
106C2×(C2×D47)⋊C4C23116yes—
107C2×(C2×D47)⋊C4C2318yes—
108C22⋊C4×D47—216no—
109C22⋊C4×D47—232no—
110C2×C4×Dic47C2318yescomplemented
111C2×C4×Dic47C2314yescomplemented
112C42×D47—216no—
113C47⋊#95C2318yescomplemented
114C47⋊#95C23116yescomplemented
115C25×C47C2311yescharacteristic
116C23×C4×C47—28no—
117C23×C4×C47C2×C418yescomplemented
118C23×C4×C47C2312yes—
119C23×C4×C47C2312yes—
120C23×C4×C47C2311yescharacteristic
121C23×C4×C47C2311yescharacteristic
122#117×C47—28no—
123C2×C4⋊C4×C47C2314yescomplemented
124C2×C22⋊C4×C47C2318yes—
125C2×C22⋊C4×C47C2314yes—
126C2×C42×C47C2314yescomplemented
127#95×C47C2318yescomplemented
128C24×C47—24no—
129C24×C47—28no—
130C24×C47C22×C414yes—
131C24×C47C2411yescharacteristic
132C24×C47C2412yes—
133C23×D47—2128no—
134C23×D47—24no—
135C23×D47—28no—
136C23×D47—232no—
137C23×D47—264no—
138C23×D47—28no—
139C23×D47—28no—
140C23×D47—28no—
141C23×D47—28no—
142C23×D47—28no—
143C23×D47—28no—
144C23×D47C22×C414yes—
145C23×D47C22×C418yes—
146C23×D47C22×C414yes—
147C23×D47C22×C418yes—
148C23×D47C2×D418yes—
149C23×D47#41116yes—
150C23×D47C2411yescharacteristic
151C23×D47C2412yes—
152C23×D47C2411yescharacteristic
153C22×C4×C47—24no—
154C22×C4×C47—232no—
155C22×C4×C47—28no—
156C22×C4×C47—28no—
157C22×C4×C47C22×C414yes—
158C22×C4×C47C22×C418yes—
159C22×C4×C47C22×C418yes—
160C22×C4×C47C22×C414yes—
161C22×C4×C47C2×D418yes—
162C22×C4×C47C2418yes—
163C22×C4×C47C2412yes—
164C22×C4×C47C2411yescharacteristic
165C22×C4×C47C2411yescharacteristic
166C22×Dic47—24no—
167C22×Dic47—232no—
168C22×Dic47—28no—
169C22×Dic47—28no—
170C22×Dic47C22×C414yes—
171C22×Dic47C22×C418yes—
172C22×Dic47C22×C418yes—
173C22×Dic47C22×C414yes—
174C22×Dic47C2×D418yes—
175C22×Dic47C2418yes—
176C22×Dic47C2412yes—
177C22×Dic47C2411yescharacteristic
178C22×Dic47C2411yescharacteristic
179C2×C4×D47—232no—
180C2×C4×D47—28no—
181C2×C4×D47—28no—
182C2×C4×D47—232no—
183C2×C4×D47—28no—
184C2×C4×D47—28no—
185C2×C4×D47—232no—
186C2×C4×D47—28no—
187C2×C4×D47—28no—
188C2×C4×D47—264no—
189C2×C4×D47—264no—
190C2×C4×D47—264no—
191C2×C4×D47—264no—
192C2×C4×D47—216no—
193C2×C4×D47—232no—
194C2×C4×D47C22⋊C4164yescomplemented
195C2×C4×D47C22×C418yes—
196C2×C4×D47C22×C418yes—
197C2×C4×D47C22×C418yes—
198C2×C4×D47C22×C418yes—
199C2×C4×D47C22×C418yes—
200C2×C4×D47C22×C418yes—
201C2×C4×D47C22×C414yes—
202C2×C4×D47C22×C414yes—
203C2×C4×D47C22×C414yes—
204C2×C4×D47C22×C414yes—
205C2×C4×D47C2×D418yes—
206C2×C4×D47C2×D418yes—
207C2×C4×D47C2×D418yes—
208C2×C4×D47C2×D418yes—
209C4⋊C4×C47—28no—
210C22⋊C4×C47—28no—
211C22⋊C4×C47—216no—
212C42×C47—28no—
213C22⋊Dic47—28no—
214C22⋊Dic47—216no—
215(C2×D47)⋊C4—216no—
216(C2×D47)⋊C4—232no—
217C4⋊Dic47—28no—
218Dic47⋊C4—216no—
219C4×Dic47—28no—
220C4×Dic47—216no—
221C23×C47—232no—
222C23×C47—28no—
223C23×C47—216no—
224C23×C47—24no—
225C23×C47—24no—
226C23×C47—24no—
227C23×C47C23×C412yes—
228C23×C47C23×C414yes—
229C23×C47C22×D414yes—
230C23×C47C2×#4118yes—
231C23×C47C2511yescharacteristic
232C22×D47—264no—
233C22×D47—232no—
234C22×D47—2256no—
235C22×D47—28no—
236C22×D47—216no—
237C22×D47—24no—
238C22×D47—24no—
239C22×D47—24no—
240C22×D47—216no—
241C22×D47—216no—
242C22×D47—216no—
243C22×D47—216no—
244C22×D47—216no—
245C22×D47—216no—
246C22×D47—232no—
247C22×D47—264no—
248C22×D47C2×C22⋊C4116yes—
249C22×D47#117132yescomplemented
250C22×D47C23×C412yes—
251C22×D47C23×C414yes—
252C22×D47C23×C412yes—
253C22×D47C22×D414yes—
254C22×D47C22×D414yes—
255C22×D47C2×#4118yes—
256C22×D47C2×#4118yes—
257C2×C4×C47—28no—
258C2×C4×C47—24no—
259C2×C4×C47—216no—
260C2×C4×C47—216no—
261C2×C4×C47—28no—
262C2×C4×C47—216no—
263C2×C4×C47C2×C22⋊C4116yescomplemented
264C2×C4×C47C23×C414yes—
265C2×C4×C47C23×C412yes—
266C2×C4×C47C23×C412yes—
267C2×C4×C47C22×D414yes—
268C2×C4×C47C22×D414yes—
269C2×Dic47—28no—
270C2×Dic47—24no—
271C2×Dic47—216no—
272C2×Dic47—216no—
273C2×Dic47—28no—
274C2×Dic47—216no—
275C2×Dic47C2×C22⋊C4116yescomplemented
276C2×Dic47C23×C414yes—
277C2×Dic47C23×C412yes—
278C2×Dic47C23×C412yes—
279C2×Dic47C22×D414yes—
280C2×Dic47C22×D414yes—
281C4×D47—216no—
282C4×D47—216no—
283C4×D47—216no—
284C4×D47—216no—
285C4×D47—216no—
286C4×D47—216no—
287C4×D47—432no—
288C4×D47C2×C22⋊C4116yes—
289C4×D47C2×C22⋊C4116yes—
290C4×D47C2×C22⋊C4116yescomplemented
291C4×D47C2×C22⋊C4116yescomplemented
292C2×#2280—471nomaximal, Sylow
293C22×C47—232no—
294C22×C47—24no—
295C22×C47—24no—
296C22×C47—24no—
297C22×C47—28no—
298C22×C47—216no—
299C22×C47C22×C22⋊C414yes—
300C22×C47C2×#11718yescomplemented
301C22×C47C24×C411yescharacteristic
302C22×C47C23×D412yes—
303C22×C47C22×#4114yes—
304C2×D47—264no—
305C2×D47—232no—
306C2×D47—24no—
307C2×D47—24no—
308C2×D47—24no—
309C2×D47—28no—
310C2×D47—216no—
311C2×D47—232no—
312C2×D47—264no—
313C2×D47C22×C22⋊C414yes—
314C2×D47C22×C22⋊C414yes—
315C2×D47C2×#11718yes—
316C2×D47C2×#11718yescomplemented
317C2×D47#525116yes—
318C4×C47—24no—
319C4×C47—48no—
320C4×C47C22×C22⋊C414yes—
321C4×C47C22×C22⋊C414yes—
322Dic47—24no—
323Dic47—48no—
324Dic47C22×C22⋊C414yes—
325Dic47C22×C22⋊C414yes—
326C25×C4—471no—
327C22×#117—472no—
328#2280—472no—
329#2280—474no—
330#2280—472no—
331#2280—474no—
332#2280—471no—
333#2280—472no—
334#2280D4711yescharacteristic, direct product factor
335C2×#381—472no—
336C2×#380—474no—
337C2×#379—472no—
338C2×C4×C22⋊C4—474no—
339C2×C47—24no—
340C2×C47—28no—
341C2×C47C23×C22⋊C411yescharacteristic
342C2×C47C22×#11712yes—
343C2×C47C2×#52514yes—
344D47—24no—
345D47—28no—
346D47#228018yesdirect product factor
347C26—471no—
348C24×C4—471no—
349C24×C4—471no—
350C24×C4—4716no—
351C24×C4—472no—
352C24×C4—472no—
353C24×C4—471no—
354C24×C4—471no—
355C24×C4—472no—
356C24×C4—472no—
357C24×C4—471no—
358C24×C4—9416no—
359C24×C4C2×D4711yescharacteristic
360C2×#117—472no—
361C2×#117—474no—
362C2×#117—474no—
363C2×#117—474no—
364C2×#117—9416no—
365C2×#117C2×D4712yescomplemented
366C22×C4⋊C4—474no—
367C22×C22⋊C4—474no—
368C22×C22⋊C4—478no—
369C22×C42—474no—
370#381—472no—
371#381—474no—
372#381—478no—
373#381C2×D4712yescomplemented
374#380—474no—
375#380—478no—
376#380—478no—
377#380—478no—
378#380C2×D4714yescomplemented
379#379—472no—
380#379—474no—
381#379—478no—
382#379C2×D4712yes—
383C4×C22⋊C4—474no—
384C4×C22⋊C4—478no—
385C4×C22⋊C4—478no—
386C4×C22⋊C4—478no—
387C4×C22⋊C4C2×D4714yescomplemented
388C2×#95—478no—
389C47C2×#228011yescharacteristic, complemented, Sylow
390C25—471no—
391C25—472no—
392C25—478no—
393C25—472no—
394C25—471no—
395C25—948no—
396C25—9416no—
397C25C22×D4711yescharacteristic
398C23×C4—28no—
399C23×C4—471no—
400C23×C4—478no—
401C23×C4—4716no—
402C23×C4—471no—
403C23×C4—471no—
404C23×C4—471no—
405C23×C4—471no—
406C23×C4—478no—
407C23×C4—472no—
408C23×C4—472no—
409C23×C4—471no—
410C23×C4—4716no—
411C23×C4—4716no—
412C23×C4—478no—
413C23×C4—478no—
414C23×C4—4716no—
415C23×C4—4716no—
416C23×C4—478no—
417C23×C4—472no—
418C23×C4—472no—
419C23×C4—472no—
420C23×C4—472no—
421C23×C4—472no—
422C23×C4—472no—
423C23×C4—478no—
424C23×C4—948no—
425C23×C4—94128no—
426C23×C4—9416no—
427C23×C4—9416no—
428C23×C4—9416no—
429C23×C4—9416no—
430C23×C4—948no—
431C23×C4—948no—
432C23×C4—948no—
433C23×C4C4×D4718yescomplemented
434C23×C4C22×D4712yes—
435C23×C4C22×D4711yescharacteristic
436C23×C4C22×D4712yes—
437C23×C4C22×D4711yescharacteristic
438#117—28no—
439#117—9416no—
440#117—9416no—
441#117—9416no—
442#117—948no—
443C2×C4⋊C4—478no—
444C2×C4⋊C4—474no—
445C2×C4⋊C4—9416no—
446C2×C4⋊C4C22×D4714yescomplemented
447C2×C22⋊C4—474no—
448C2×C22⋊C4—478no—
449C2×C22⋊C4—478no—
450C2×C22⋊C4—4716no—
451C2×C22⋊C4—9416no—
452C2×C22⋊C4—9432no—
453C2×C22⋊C4C22×D4714yes—
454C2×C22⋊C4C22×D4718yes—
455C2×C42—478no—
456C2×C42—474no—
457C2×C42—9416no—
458C2×C42C22×D4714yescomplemented
459#95—4716no—
460#95—478no—
461#95C22×D4718yescomplemented
462C24—24no—
463C24—28no—
464C24—471no—
465C24—474no—
466C24—478no—
467C24—478no—
468C24—4716no—
469C24—471no—
470C24—472no—
471C24—478no—
472C24—474no—
473C24—9432no—
474C24—948no—
475C24—948no—
476C24—9464no—
477C24—948no—
478C24—948no—
479C24—948no—
480C24—948no—
481C24—94128no—
482C24—944no—
483C24—948no—
484C24C2×C4×D4714yes—
485C24C23×D4711yescharacteristic
486C24C23×D4712yes—
487C22×C4—24no—
488C22×C4—232no—
489C22×C4—28no—
490C22×C4—28no—
491C22×C4—474no—
492C22×C4—478no—
493C22×C4—471no—
494C22×C4—471no—
495C22×C4—4764no—
496C22×C4—474no—
497C22×C4—474no—
498C22×C4—474no—
499C22×C4—474no—
500C22×C4—478no—
501C22×C4—478no—
502C22×C4—478no—
503C22×C4—478no—
504C22×C4—478no—
505C22×C4—478no—
506C22×C4—474no—
507C22×C4—472no—
508C22×C4—478no—
509C22×C4—478no—
510C22×C4—478no—
511C22×C4—478no—
512C22×C4—478no—
513C22×C4—478no—
514C22×C4—478no—
515C22×C4—9432no—
516C22×C4—948no—
517C22×C4—948no—
518C22×C4—9464no—
519C22×C4—9464no—
520C22×C4—9464no—
521C22×C4—9464no—
522C22×C4—9432no—
523C22×C4—948no—
524C22×C4—948no—
525C22×C4—9416no—
526C22×C4—9432no—
527C22×C4—9432no—
528C22×C4—948no—
529C22×C4—948no—
530C22×C4—944no—
531C22×C4—9432no—
532C22×C4—948no—
533C22×C4—948no—
534C22×C4C2×C4×D4714yes—
535C22×C4C2×C4×D4718yes—
536C22×C4C2×C4×D4718yes—
537C22×C4C2×C4×D4714yes—
538C22×C4D4×D4718yes—
539C22×C4C23×D4718yes—
540C22×C4C23×D4712yes—
541C22×C4C23×D4711yescharacteristic
542C22×C4C23×D4711yescharacteristic
543C4⋊C4—28no—
544C4⋊C4—9416no—
545C4⋊C4—948no—
546C22⋊C4—28no—
547C22⋊C4—216no—
548C22⋊C4—9432no—
549C22⋊C4—9416no—
550C22⋊C4—948no—
551C22⋊C4—9416no—
552C42—28no—
553C42—9416no—
554C42—948no—
555C23—232no—
556C23—28no—
557C23—216no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—472no—
562C23—474no—
563C23—478no—
564C23—4716no—
565C23—4732no—
566C23—472no—
567C23—474no—
568C23—474no—
569C23—478no—
570C23—9416no—
571C23—9416no—
572C23—9416no—
573C23—9416no—
574C23—9416no—
575C23—9416no—
576C23—9432no—
577C23—9464no—
578C23—94256no—
579C23—9432no—
580C23—9464no—
581C23—948no—
582C23—9416no—
583C23—944no—
584C23—944no—
585C23—944no—
586C23C22×C4×D4712yes—
587C23C22×C4×D4714yes—
588C23C2×D4×D4714yes—
589C23#41×D4718yes—
590C23C24×D4711yescharacteristic
591C2×C4—28no—
592C2×C4—24no—
593C2×C4—216no—
594C2×C4—216no—
595C2×C4—28no—
596C2×C4—216no—
597C2×C4—4716no—
598C2×C4—472no—
599C2×C4—472no—
600C2×C4—474no—
601C2×C4—474no—
602C2×C4—4716no—
603C2×C4—4716no—
604C2×C4—4716no—
605C2×C4—4716no—
606C2×C4—474no—
607C2×C4—9416no—
608C2×C4—9416no—
609C2×C4—9416no—
610C2×C4—9416no—
611C2×C4—9416no—
612C2×C4—9416no—
613C2×C4—948no—
614C2×C4—944no—
615C2×C4—9416no—
616C2×C4—9416no—
617C2×C4—948no—
618C2×C4—9416no—
619C2×C4—18832no—
620C2×C4C22⋊C4×D47116yescomplemented
621C2×C4C22×C4×D4714yes—
622C2×C4C22×C4×D4712yes—
623C2×C4C22×C4×D4712yes—
624C2×C4C2×D4×D4714yes—
625C2×C4C2×D4×D4714yes—
626C22—232no—
627C22—24no—
628C22—24no—
629C22—24no—
630C22—28no—
631C22—216no—
632C22—474no—
633C22—478no—
634C22—4716no—
635C22—474no—
636C22—478no—
637C22—9432no—
638C22—9464no—
639C22—9432no—
640C22—9464no—
641C22—944no—
642C22—944no—
643C22—944no—
644C22—948no—
645C22—9416no—
646C22C2×C22⋊C4×D4714yes—
647C22#117×D4718yescomplemented
648C22C23×C4×D4711yescharacteristic
649C22C22×D4×D4712yes—
650C22C2×#41×D4714yes—
651C4—24no—
652C4—48no—
653C4—474no—
654C4—474no—
655C4—944no—
656C4—1888no—
657C4C2×C22⋊C4×D4714yes—
658C4C2×C22⋊C4×D4714yes—
659C2—24no—
660C2—28no—
661C2—478no—
662C2—944no—
663C2—948no—
664C2C22×C22⋊C4×D4711yescharacteristic
665C2C2×#117×D4712yes—
666C2#525×D4714yes—
subgroupG/H
centerC22×C4C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC47×#2280C2
socle, cosocleC23×C47C25
prime radicalC25×D47C22
hypercenter#2280D47
hypocenterC47C2×#2280
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #2280

Complements

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

NH ≅ G/Ntype
2. C2×#117×D47C2semidirect
3. #20245771C2semidirect
4. #20245770C2semidirect
5. #20245769C2semidirect
6. #20245768C2semidirect
7. #20245767C2semidirect
8. #20245766C2semidirect
9. #381×D47C2semidirect
10. #380×D47C2semidirect
12. C4×C22⋊C4×D47C2semidirect
13. C47×#2280C2semidirect
17. C23×C4×D47C4semidirect
26. C2×#13093983C22semidirect
27. C2×#13093982C22semidirect
28. C2×#13093981C22semidirect
29. C2×#13093980C22semidirect
31. C2×C4⋊C4×D47C22semidirect
34. C2×C42×D47C22semidirect
35. #15688986C22semidirect
36. #15688985C22semidirect
37. #15688984C22semidirect
38. #15688983C22semidirect
39. #15688982C22semidirect
40. #15688981C22semidirect
41. #15688980C22semidirect
45. C22⋊C4×Dic47C22semidirect
46. C4×(C2×D47)⋊C4C22semidirect
47. C4×C22⋊Dic47C22semidirect
48. #15688970C22semidirect
49. #95×D47C22semidirect
51. C2×#117×C47C22semidirect
52. C47×#381C22semidirect
53. C47×#380C22semidirect
55. C4×C22⋊C4×C47C22semidirect
64. C23×Dic47C2×C4semidirect
81. C22×C4×D47C2×C4semidirect
82. C22×C4×D47C2×C4semidirect
83. C22×C4×D47C2×C4semidirect
84. C22×C4×D47C2×C4semidirect
101. C2×C4⋊Dic47C23semidirect
102. C2×Dic47⋊C4C23semidirect
110. C2×C4×Dic47C23semidirect
111. C2×C4×Dic47C23semidirect
113. C47⋊#95C23semidirect
114. C47⋊#95C23semidirect
117. C23×C4×C47C2×C4semidirect
123. C2×C4⋊C4×C47C23semidirect
126. C2×C42×C47C23semidirect
127. #95×C47C23semidirect
194. C2×C4×D47C22⋊C4semidirect
249. C22×D47#117semidirect
263. C2×C4×C47C2×C22⋊C4semidirect
275. C2×Dic47C2×C22⋊C4semidirect
290. C4×D47C2×C22⋊C4semidirect
291. C4×D47C2×C22⋊C4semidirect
300. C22×C47C2×#117semidirect
316. C2×D47C2×#117semidirect
334. #2280D47direct (N × H)
346. D47#2280direct (N × H)
365. C2×#117C2×D47semidirect
373. #381C2×D47semidirect
378. #380C2×D47semidirect
387. C4×C22⋊C4C2×D47semidirect
389. C47C2×#2280semidirect
433. C23×C4C4×D47semidirect
446. C2×C4⋊C4C22×D47semidirect
458. C2×C42C22×D47semidirect
461. #95C22×D47semidirect
620. C2×C4C22⋊C4×D47semidirect
647. C22#117×D47semidirect

Maximal subgroups

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

subgroupindex
C24×C4×D472
C2×#117×D472
#202457712
#202457702
#202457692
#202457682
#202457672
#202457662
#381×D472
#380×D472
#379×D472
C4×C22⋊C4×D472
C47×#22802
C2×#228047