Finite Group Databasebeta

← D47×#2851 #26422143

Subgroups — D47×#2851 #26422143

Order 12032.

3182 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×#125×D47C211yesmaximal, characteristic, complemented
2C22×C42×D47C211yesmaximal, characteristic
3#20251699C211yesmaximal, characteristic, complemented
4#20251698C211yesmaximal, characteristic, complemented
5#20251697C212yesmaximal, complemented
6#20251696C212yesmaximal, complemented
7#20251695C214yesmaximal, complemented
8#20251694C214yesmaximal, complemented
9#20251693C211yesmaximal, characteristic, complemented
10#389×D47C212yesmaximal, complemented
11#387×D47C214yesmaximal, complemented
12#385×D47C214yesmaximal
13#382×D47C211yesmaximal, characteristic, complemented
14#380×D47C212yesmaximal
15C47×#2851C211yesmaximal, characteristic, complemented
16C23×C4×D47C2212yes—
17C23×C4×D47C2211yescharacteristic
18C2×#13094016C2211yescharacteristic, complemented
19C2×#13094015C2212yescomplemented
20C2×#13094014C2214yescomplemented
21#125×D47—28no—
22C2×C4⋊C4×D47C2212yes—
23C2×C4⋊C4×D47C2214yes—
24C2×C4⋊C4×D47C2214yes—
25C2×C4⋊C4×D47C2212yes—
26C2×C22⋊C4×D47C2214yes—
27C22×C4×Dic47C2212yes—
28C22×C4×Dic47C2211yescharacteristic
29C2×C42×D47—28no—
30C2×C42×D47C2211yescharacteristic
31C2×C42×D47C2212yes—
32C2×C42×D47C2212yes—
33C2×C42×D47C2211yescharacteristic
34C2×C42×D47C2211yescharacteristic
35C2×C42×D47C2211yescharacteristic
36#15689022C2212yescomplemented
37#15689021C2212yescomplemented
38#15689020C2214yescomplemented
39#15689019C2212yescomplemented
40#15689018C2214yescomplemented
41#15689010C2214yescomplemented
42#15689009C2214yescomplemented
43#15689008C2214yescomplemented
44#15689007C2214yescomplemented
45#15689006C2214yescomplemented
46#15689005C2214yescomplemented
47#15689004C2214yescomplemented
48#15688998C2214yes—
49#15688997C2214yes—
50#15688997C2214yes—
51#15688996C2214yes—
52#15688995C2214yes—
53#15688994C2214yes—
54#15688994C2214yes—
55#15688989C2211yescharacteristic, complemented
56#15688988C2212yescomplemented
57#15688987C2214yescomplemented
58#15688983C2212yes—
59#15688982C2214yes—
60#15688981C2214yes—
61#15688980C2212yes—
62#15688980C2212yes—
63#95×D47C2214yes—
64#95×D47C2214yes—
65#95×D47C2214yes—
66C2×#125×C47C2211yescharacteristic, complemented
67C22×C42×C47C2211yescharacteristic
68C47×#389C2212yescomplemented
69C47×#387C2214yescomplemented
70C47×#385C2214yes—
71C47×#382C2211yescharacteristic, complemented
72C47×#380C2212yes—
73C24×D47C2311yescharacteristic
74C23×Dic47C2312yes—
75C23×Dic47C2311yescharacteristic
76C22×C4×D47—28no—
77C22×C4×D47—28no—
78C22×C4×D47—24no—
79C22×C4×D47—28no—
80C22×C4×D47—24no—
81C22×C4×D47Q818yes—
82C22×C4×D47C2314yes—
83C22×C4×D47C2314yes—
84C22×C4×D47C2312yes—
85C22×C4×D47C2312yes—
86C22×C4×D47C2312yes—
87C22×C4×D47C2311yescharacteristic
88C22×C4×D47C2311yescharacteristic
89C22×C4×D47C2311yescharacteristic
90C22×C4×D47C2312yes—
91C22×C4×D47C2311yescharacteristic
92#13094016—24no—
93#13094015—28no—
94#13094014—216no—
95C2×C4⋊Dic47C2312yes—
96C2×C4⋊Dic47C2312yes—
97C2×C4⋊Dic47C2314yes—
98C2×C4⋊Dic47C2314yes—
99C2×Dic47⋊C4C2314yes—
100C2×Dic47⋊C4C2314yes—
101C2×Dic47⋊C4C2314yes—
102C2×Dic47⋊C4C2314yes—
103C2×Dic47⋊C4C2314yes—
104C2×Dic47⋊C4C2314yes—
105C4⋊C4×D47—216no—
106C4⋊C4×D47—28no—
107C4⋊C4×D47—216no—
108C4⋊C4×D47—28no—
109C2×C22⋊Dic47C2314yes—
110C2×(C2×D47)⋊C4C2314yes—
111C2×(C2×D47)⋊C4C2314yes—
112C22⋊C4×D47—216no—
113C2×C4×Dic47—28no—
114C2×C4×Dic47—24no—
115C2×C4×Dic47C2312yes—
116C2×C4×Dic47C2312yes—
117C2×C4×Dic47C2312yes—
118C2×C4×Dic47C2312yes—
119C2×C4×Dic47C2311yescharacteristic
120C2×C4×Dic47C2312yes—
121C2×C4×Dic47C2311yescharacteristic
122C42×D47—28no—
123C42×D47—24no—
124C42×D47—24no—
125C42×D47—28no—
126C42×D47—24no—
127C42×D47D418yes—
128C47⋊#95C2314yes—
129C47⋊#95C2314yes—
130C47⋊#95C2314yes—
131C47⋊#95C2314yes—
132C47⋊#95C2314yes—
133C47⋊#95C2314yes—
134C47⋊#95C2314yes—
135C47⋊#95C2314yes—
136C47⋊#95C2314yes—
137C23×C4×C47C2312yes—
138C23×C4×C47C2311yescharacteristic
139#125×C47—24no—
140C2×C4⋊C4×C47C2312yes—
141C2×C4⋊C4×C47C2312yes—
142C2×C4⋊C4×C47C2314yes—
143C2×C4⋊C4×C47C2314yes—
144C2×C22⋊C4×C47C2314yes—
145C2×C42×C47—24no—
146C2×C42×C47C2312yes—
147C2×C42×C47C2311yescharacteristic
148C2×C42×C47C2311yescharacteristic
149#95×C47C2314yes—
150#95×C47C2314yes—
151#95×C47C2314yes—
152C24×C47C2411yescharacteristic
153C23×D47—22no—
154C23×D47—22no—
155C23×D47—24no—
156C23×D47C2×Q814yes—
157C23×D47#4118yes—
158C23×D47C2411yescharacteristic
159C23×D47C2411yescharacteristic
160C22×C4×C47—24no—
161C22×C4×C47—24no—
162C22×C4×C47—22no—
163C22×C4×C47—24no—
164C22×C4×C47—22no—
165C22×C4×C47C2×Q814yes—
166C22×C4×C47C2414yes—
167C22×C4×C47C2414yes—
168C22×C4×C47C2412yes—
169C22×C4×C47C2411yescharacteristic
170C22×C4×C47C2412yes—
171C22×C4×C47C2411yescharacteristic
172C22×Dic47—24no—
173C22×Dic47—24no—
174C22×Dic47—22no—
175C22×Dic47—24no—
176C22×Dic47—22no—
177C22×Dic47C2×Q814yes—
178C22×Dic47C2414yes—
179C22×Dic47C2414yes—
180C22×Dic47C2412yes—
181C22×Dic47C2411yescharacteristic
182C22×Dic47C2412yes—
183C22×Dic47C2411yescharacteristic
184C2×C4×D47—264no—
185C2×C4×D47—22no—
186C2×C4×D47—24no—
187C2×C4×D47—24no—
188C2×C4×D47—24no—
189C2×C4×D47—22no—
190C2×C4×D47—24no—
191C2×C4×D47—24no—
192C2×C4×D47—24no—
193C2×C4×D47—24no—
194C2×C4×D47—22no—
195C2×C4×D47—24no—
196C2×C4×D47—22no—
197C2×C4×D47—24no—
198C2×C4×D47—22no—
199C2×C4×D47—24no—
200C2×C4×D47—22no—
201C2×C4×D47—232no—
202C2×C4×D47—28no—
203C2×C4×D47—28no—
204C2×C4×D47—28no—
205C2×C4×D47—28no—
206C2×C4×D47—28no—
207C2×C4×D47—28no—
208C2×C4×D47C2×D418yes—
209C2×C4×D47C2×D414yes—
210C2×C4×D47C2×Q814yes—
211C2×C4×D47C2×Q814yes—
212C2×C4×D47C2×Q814yes—
213C2×C4×D47C2×Q814yes—
214C2×C4×D47#4118yes—
215C2×C4×D47#4114yes—
216C4⋊C4×C47—28no—
217C4⋊C4×C47—24no—
218C4⋊C4×C47—24no—
219C4⋊C4×C47—28no—
220C22⋊C4×C47—28no—
221C42×C47—24no—
222C42×C47—22no—
223C42×C47C2×D414yes—
224C22⋊Dic47—28no—
225(C2×D47)⋊C4—28no—
226(C2×D47)⋊C4—28no—
227C4⋊Dic47—24no—
228C4⋊Dic47—24no—
229C4⋊Dic47—28no—
230C4⋊Dic47—28no—
231Dic47⋊C4—28no—
232Dic47⋊C4—28no—
233Dic47⋊C4—28no—
234Dic47⋊C4—28no—
235Dic47⋊C4—28no—
236Dic47⋊C4—28no—
237C4×Dic47—24no—
238C4×Dic47—22no—
239C4×Dic47—24no—
240C4×Dic47—24no—
241C4×Dic47—24no—
242C4×Dic47C2×D418yes—
243C4×Dic47C2×D414yes—
244C23×C47—21no—
245C23×C47—21no—
246C23×C47—22no—
247C23×C47C22×Q812yes—
248C23×C47C2×#4114yes—
249C23×C47C2511yescharacteristic
250C22×D47—21no—
251C22×D47—21no—
252C22×D47—22no—
253C22×D47—28no—
254C22×D47—216no—
255C22×D47—216no—
256C22×D47—28no—
257C22×D47#125116yescomplemented
258C22×D47C22×D412yes—
259C22×D47C22×Q812yes—
260C22×D47C22×Q812yes—
261C22×D47C2×#4114yes—
262C22×D47C2×#4112yes—
263C22×D47C2×#4114yes—
264C22×D47C2×#4114yes—
265C2×C4×C47—216no—
266C2×C4×C47—21no—
267C2×C4×C47—22no—
268C2×C4×C47—21no—
269C2×C4×C47—22no—
270C2×C4×C47—22no—
271C2×C4×C47—22no—
272C2×C4×C47—28no—
273C2×C4×C47—24no—
274C2×C4×C47—24no—
275C2×C4×C47—24no—
276C2×C4×C47—24no—
277C2×C4×C47—24no—
278C2×C4×C47—24no—
279C2×C4×C47C22×D414yes—
280C2×C4×C47C22×D412yes—
281C2×C4×C47C22×Q812yes—
282C2×C4×C47C22×Q812yes—
283C2×C4×C47C2×#4114yes—
284C2×C4×C47C2×#4112yes—
285C2×Dic47—216no—
286C2×Dic47—21no—
287C2×Dic47—22no—
288C2×Dic47—21no—
289C2×Dic47—22no—
290C2×Dic47—22no—
291C2×Dic47—22no—
292C2×Dic47—28no—
293C2×Dic47—24no—
294C2×Dic47—24no—
295C2×Dic47—24no—
296C2×Dic47—24no—
297C2×Dic47—24no—
298C2×Dic47—24no—
299C2×Dic47C22×D414yes—
300C2×Dic47C22×D412yes—
301C2×Dic47C22×Q812yes—
302C2×Dic47C22×Q812yes—
303C2×Dic47C2×#4114yes—
304C2×Dic47C2×#4112yes—
305C4×D47—216no—
306C4×D47—216no—
307C4×D47—28no—
308C4×D47—216no—
309C4×D47—216no—
310C4×D47—28no—
311C4×D47—28no—
312C4×D47—416no—
313C4×D47—416no—
314C4×D47C22⋊Q8116yes—
315C2×#2851—471nomaximal, Sylow
316C22×C47—22no—
317C22×C47—24no—
318C22×C47—24no—
319C22×C47—22no—
320C22×C47C2×#12514yescomplemented
321C22×C47C23×D411yescharacteristic
322C22×C47C23×Q811yescharacteristic
323C22×C47C22×#4111yescharacteristic
324C22×C47C22×#4112yes—
325C22×C47C22×#4112yes—
326C2×D47—22no—
327C2×D47—24no—
328C2×D47—24no—
329C2×D47—22no—
330C2×D47—232no—
331C2×D47C2×C22⋊Q814yes—
332C2×D47#52518yes—
333C2×D47C2×#12514yes—
334C2×D47C2×#12514yescomplemented
335C2×D47#52918yes—
336C2×D47#53314yes—
337C4×C47—22no—
338C4×C47—24no—
339C4×C47—24no—
340C4×C47—44no—
341C4×C47—44no—
342C4×C47C2×C22⋊Q814yes—
343Dic47—22no—
344Dic47—24no—
345Dic47—24no—
346Dic47—44no—
347Dic47—44no—
348Dic47C2×C22⋊Q814yes—
349C22×#125—471no—
350C23×C42—471no—
351#2851—471no—
352#2851—472no—
353#2851—474no—
354#2851—474no—
355#2851—471no—
356#2851—472no—
357#2851—471no—
358#2851D4711yescharacteristic, direct product factor
359C2×#389—472no—
360C2×#387—474no—
361C2×#385—474no—
362C2×#382—471no—
363C2×#380—472no—
364C2×C47—24no—
365C2×C47C22×C22⋊Q811yescharacteristic
366C2×C47C2×#52512yes—
367C2×C47C22×#12511yescharacteristic
368C2×C47C2×#52912yes—
369C2×C47C2×#53311yescharacteristic
370D47—24no—
371D47#285118yesdirect product factor
372C24×C4—471no—
373C24×C4—472no—
374C2×#125—474no—
375C2×#125—472no—
376C2×#125—471no—
377C2×#125—948no—
378C2×#125C2×D4711yescharacteristic, complemented
379C22×C4⋊C4—472no—
380C22×C4⋊C4—474no—
381C22×C4⋊C4—472no—
382C22×C4⋊C4—474no—
383C22×C22⋊C4—474no—
384C22×C42—471no—
385C22×C42—472no—
386C22×C42—471no—
387C22×C42—471no—
388C22×C42—472no—
389C22×C42—471no—
390C22×C42—472no—
391C22×C42—471no—
392C22×C42—948no—
393C22×C42C2×D4711yescharacteristic
394#389—474no—
395#389—472no—
396#389—472no—
397#389—472no—
398#389—474no—
399#389C2×D4712yescomplemented
400#387—474no—
401#387—474no—
402#387—474no—
403#387—474no—
404#387—474no—
405#387—474no—
406#387—474no—
407#387C2×D4714yescomplemented
408#385—474no—
409#385—474no—
410#385—474no—
411#385—474no—
412#385—474no—
413#385—474no—
414#385—474no—
415#385C2×D4714yes—
416#382—472no—
417#382—471no—
418#382—474no—
419#382C2×D4711yescharacteristic, complemented
420#380—472no—
421#380—472no—
422#380—472no—
423#380—474no—
424#380—474no—
425#380C2×D4712yes—
426C2×#95—474no—
427C2×#95—474no—
428C2×#95—474no—
429C47C2×#285111yescharacteristic, complemented, Sylow
430C25—471no—
431C23×C4—471no—
432C23×C4—471no—
433C23×C4—478no—
434C23×C4—472no—
435C23×C4—472no—
436C23×C4—471no—
437C23×C4—471no—
438C23×C4—471no—
439C23×C4—472no—
440C23×C4—474no—
441C23×C4—474no—
442C23×C4—472no—
443C23×C4—472no—
444C23×C4—944no—
445C23×C4—948no—
446C23×C4—944no—
447C23×C4—948no—
448C23×C4—948no—
449C23×C4C22×D4712yes—
450C23×C4C22×D4711yescharacteristic
451#125—24no—
452#125—9416no—
453#125—948no—
454#125—944no—
455C2×C4⋊C4—474no—
456C2×C4⋊C4—474no—
457C2×C4⋊C4—474no—
458C2×C4⋊C4—472no—
459C2×C4⋊C4—474no—
460C2×C4⋊C4—474no—
461C2×C4⋊C4—474no—
462C2×C4⋊C4—474no—
463C2×C4⋊C4—472no—
464C2×C4⋊C4—474no—
465C2×C4⋊C4—948no—
466C2×C4⋊C4—9416no—
467C2×C4⋊C4—948no—
468C2×C4⋊C4—9416no—
469C2×C4⋊C4C22×D4712yes—
470C2×C4⋊C4C22×D4714yes—
471C2×C4⋊C4C22×D4712yes—
472C2×C4⋊C4C22×D4714yes—
473C2×C22⋊C4—474no—
474C2×C22⋊C4—474no—
475C2×C22⋊C4—474no—
476C2×C22⋊C4—9416no—
477C2×C22⋊C4C22×D4714yes—
478C2×C42—24no—
479C2×C42—472no—
480C2×C42—471no—
481C2×C42—478no—
482C2×C42—472no—
483C2×C42—472no—
484C2×C42—472no—
485C2×C42—472no—
486C2×C42—471no—
487C2×C42—948no—
488C2×C42—944no—
489C2×C42—944no—
490C2×C42—948no—
491C2×C42—948no—
492C2×C42—944no—
493C2×C42—944no—
494C2×C42C22×D4712yes—
495C2×C42C22×D4711yescharacteristic
496C2×C42C22×D4711yescharacteristic
497#95—474no—
498#95—474no—
499#95—474no—
500#95—474no—
501#95—474no—
502#95—474no—
503#95—474no—
504#95—474no—
505#95—474no—
506#95C22×D4714yes—
507#95C22×D4714yes—
508#95C22×D4714yes—
509C24—471no—
510C24—474no—
511C24—478no—
512C24—471no—
513C24—942no—
514C24—942no—
515C24—944no—
516C24C23×D4711yescharacteristic
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—22no—
520C22×C4—24no—
521C22×C4—22no—
522C22×C4—471no—
523C22×C4—474no—
524C22×C4—474no—
525C22×C4—474no—
526C22×C4—474no—
527C22×C4—471no—
528C22×C4—472no—
529C22×C4—472no—
530C22×C4—478no—
531C22×C4—474no—
532C22×C4—474no—
533C22×C4—474no—
534C22×C4—478no—
535C22×C4—474no—
536C22×C4—474no—
537C22×C4—942no—
538C22×C4—944no—
539C22×C4—942no—
540C22×C4—944no—
541C22×C4—9432no—
542C22×C4—944no—
543C22×C4—942no—
544C22×C4—944no—
545C22×C4—942no—
546C22×C4—944no—
547C22×C4—944no—
548C22×C4—944no—
549C22×C4—944no—
550C22×C4—9464no—
551C22×C4—948no—
552C22×C4—948no—
553C22×C4—948no—
554C22×C4—948no—
555C22×C4—948no—
556C22×C4—948no—
557C22×C4—942no—
558C22×C4—944no—
559C22×C4—942no—
560C22×C4—944no—
561C22×C4—944no—
562C22×C4—944no—
563C22×C4—942no—
564C22×C4—944no—
565C22×C4—942no—
566C22×C4Q8×D4714yes—
567C22×C4C23×D4714yes—
568C22×C4C23×D4714yes—
569C22×C4C23×D4712yes—
570C22×C4C23×D4711yescharacteristic
571C22×C4C23×D4712yes—
572C22×C4C23×D4711yescharacteristic
573C4⋊C4—28no—
574C4⋊C4—24no—
575C4⋊C4—28no—
576C4⋊C4—24no—
577C4⋊C4—948no—
578C4⋊C4—948no—
579C4⋊C4—948no—
580C4⋊C4—948no—
581C4⋊C4—948no—
582C4⋊C4—948no—
583C4⋊C4—948no—
584C4⋊C4—944no—
585C4⋊C4—948no—
586C4⋊C4—944no—
587C22⋊C4—28no—
588C22⋊C4—948no—
589C22⋊C4—948no—
590C22⋊C4—948no—
591C42—24no—
592C42—22no—
593C42—478no—
594C42—474no—
595C42—944no—
596C42—944no—
597C42—944no—
598C42—944no—
599C42—942no—
600C42D4×D4714yes—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—472no—
605C23—472no—
606C23—472no—
607C23—474no—
608C23—474no—
609C23—4716no—
610C23—472no—
611C23—474no—
612C23—948no—
613C23—9416no—
614C23—9416no—
615C23—948no—
616C23—941no—
617C23—941no—
618C23—942no—
619C23C2×Q8×D4712yes—
620C23#41×D4714yes—
621C23C24×D4711yescharacteristic
622C2×C4—216no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—28no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—472no—
637C2×C4—472no—
638C2×C4—472no—
639C2×C4—4716no—
640C2×C4—474no—
641C2×C4—472no—
642C2×C4—474no—
643C2×C4—948no—
644C2×C4—948no—
645C2×C4—9416no—
646C2×C4—9416no—
647C2×C4—9416no—
648C2×C4—9416no—
649C2×C4—948no—
650C2×C4—9416no—
651C2×C4—941no—
652C2×C4—942no—
653C2×C4—941no—
654C2×C4—942no—
655C2×C4—942no—
656C2×C4—942no—
657C2×C4—948no—
658C2×C4—944no—
659C2×C4—944no—
660C2×C4—944no—
661C2×C4—944no—
662C2×C4—944no—
663C2×C4—944no—
664C2×C4—18816no—
665C2×C4—18816no—
666C2×C4C2×D4×D4714yes—
667C2×C4C2×D4×D4712yes—
668C2×C4C2×Q8×D4712yes—
669C2×C4C2×Q8×D4712yes—
670C2×C4#41×D4714yes—
671C2×C4#41×D4712yes—
672C22—22no—
673C22—24no—
674C22—24no—
675C22—22no—
676C22—474no—
677C22—478no—
678C22—474no—
679C22—478no—
680C22—474no—
681C22—474no—
682C22—9432no—
683C22—942no—
684C22—944no—
685C22—944no—
686C22—942no—
687C22#125×D4714yescomplemented
688C22C22×D4×D4711yescharacteristic
689C22C22×Q8×D4711yescharacteristic
690C22C2×#41×D4711yescharacteristic
691C22C2×#41×D4712yes—
692C22C2×#41×D4712yes—
693C4—22no—
694C4—24no—
695C4—24no—
696C4—44no—
697C4—44no—
698C4—474no—
699C4—942no—
700C4—944no—
701C4—944no—
702C4—1884no—
703C4—1884no—
704C4C22⋊Q8×D4714yes—
705C2—24no—
706C2—478no—
707C2—944no—
708C2C2×C22⋊Q8×D4711yescharacteristic
709C2#525×D4712yes—
710C2C2×#125×D4711yescharacteristic
711C2#529×D4712yes—
712C2#533×D4711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2851C2
prime radicalC24×D47C23
hypercenter#2851D47
hypocenterC47C2×#2851
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2851

Complements

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

NH ≅ G/Ntype
1. C2×#125×D47C2semidirect
3. #20251699C2semidirect
4. #20251698C2semidirect
5. #20251697C2semidirect
6. #20251696C2semidirect
7. #20251695C2semidirect
8. #20251694C2semidirect
9. #20251693C2semidirect
10. #389×D47C2semidirect
11. #387×D47C2semidirect
13. #382×D47C2semidirect
15. C47×#2851C2semidirect
18. C2×#13094016C22semidirect
19. C2×#13094015C22semidirect
20. C2×#13094014C22semidirect
36. #15689022C22semidirect
37. #15689021C22semidirect
38. #15689020C22semidirect
39. #15689019C22semidirect
40. #15689018C22semidirect
41. #15689010C22semidirect
42. #15689009C22semidirect
43. #15689008C22semidirect
44. #15689007C22semidirect
45. #15689006C22semidirect
46. #15689005C22semidirect
47. #15689004C22semidirect
55. #15688989C22semidirect
56. #15688988C22semidirect
57. #15688987C22semidirect
66. C2×#125×C47C22semidirect
68. C47×#389C22semidirect
69. C47×#387C22semidirect
71. C47×#382C22semidirect
257. C22×D47#125semidirect
320. C22×C47C2×#125semidirect
334. C2×D47C2×#125semidirect
358. #2851D47direct (N × H)
371. D47#2851direct (N × H)
378. C2×#125C2×D47semidirect
399. #389C2×D47semidirect
407. #387C2×D47semidirect
419. #382C2×D47semidirect
429. C47C2×#2851semidirect
687. C22#125×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#125×D472
C22×C42×D472
#202516992
#202516982
#202516972
#202516962
#202516952
#202516942
#202516932
#389×D472
#387×D472
#385×D472
#382×D472
#380×D472
C47×#28512
C2×#285147