Finite Group Databasebeta

← D47×#2629 #26383339

Subgroups — D47×#2629 #26383339

Order 12032.

2614 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
1C2×#125×D47C211yesmaximal, characteristic, complemented
2C2×#117×D47C211yesmaximal, characteristic
3#20249223C212yesmaximal, complemented
4#20249222C212yesmaximal, complemented
5#20249221C211yesmaximal, characteristic, complemented
6#20249220C214yesmaximal, complemented
7#20249219C211yesmaximal, characteristic, complemented
8#20249218C211yesmaximal, characteristic, complemented
9#20249217C214yesmaximal, complemented
10#398×D47C214yesmaximal, complemented
11#396×D47C214yesmaximal
12#389×D47C212yesmaximal, complemented
13#384×D47C211yesmaximal, characteristic, complemented
14#380×D47C212yesmaximal
15C47×#2629C211yesmaximal, characteristic, complemented
16C23×C4×D47C2211yescharacteristic
17C2×#13094016C2211yescharacteristic, complemented
18C2×#13094015C2212yescomplemented
19C2×#13094014C2214yescomplemented
20#125×D47—28no—
21C2×#13093983C2211yescharacteristic
22C2×#13093982C2212yes—
23C2×#13093981C2211yescharacteristic
24C2×#13093981C2211yescharacteristic
25C2×#13093980C2212yes—
26#117×D47—28no—
27C2×C4⋊C4×D47C2212yes—
28C2×C4⋊C4×D47C2212yes—
29C2×C4⋊C4×D47C2212yes—
30C2×C4⋊C4×D47C2214yes—
31C2×C4⋊C4×D47C2214yes—
32C2×C4⋊C4×D47C2214yes—
33C2×C22⋊C4×D47C2212yes—
34C2×C22⋊C4×D47C2214yes—
35C2×C42×D47C2211yescharacteristic
36C2×C42×D47C2211yescharacteristic
37#15689057C2214yescomplemented
38#15689057C2214yescomplemented
39#15689056C2214yescomplemented
40#15689056C2214yescomplemented
41#15689055C2214yescomplemented
42#15689054C2214yescomplemented
43#15689053C2214yescomplemented
44#15689047C2214yes—
45#15689046C2214yes—
46#15689046C2214yes—
47#15689046C2214yes—
48#15689045C2214yes—
49#15689045C2214yes—
50#15689045C2214yes—
51#15689022C2212yescomplemented
52#15689021C2212yescomplemented
53#15689020C2214yescomplemented
54#15689019C2212yescomplemented
55#15689018C2214yescomplemented
56#15688993C2211yescharacteristic, complemented
57#15688992C2214yescomplemented
58#15688992C2212yescomplemented
59#15688983C2212yes—
60#15688982C2214yes—
61#15688981C2214yes—
62#15688980C2212yes—
63#15688980C2212yes—
64#95×D47C2214yes—
65#95×D47C2214yes—
66C2×#125×C47C2211yescharacteristic, complemented
67C2×#117×C47C2211yescharacteristic
68C47×#398C2214yescomplemented
69C47×#396C2214yes—
70C47×#389C2212yescomplemented
71C47×#384C2211yescharacteristic, complemented
72C47×#380C2212yes—
73C24×D47C2311yescharacteristic
74C23×Dic47C2311yescharacteristic
75C22×C4×D47—24no—
76C22×C4×D47—24no—
77C22×C4×D47Q818yes—
78C22×C4×D47C2312yes—
79C22×C4×D47C2314yes—
80C22×C4×D47C2314yes—
81C22×C4×D47C2312yes—
82C22×C4×D47C2311yescharacteristic
83C22×C4×D47C2311yescharacteristic
84C22×C4×D47C2311yescharacteristic
85C22×C4×D47C2311yescharacteristic
86#13094016—24no—
87#13094015—28no—
88#13094014—216no—
89#13093983—24no—
90#13093982—28no—
91#13093981—24no—
92#13093981—24no—
93#13093980—28no—
94C2×C4⋊Dic47C2312yes—
95C2×C4⋊Dic47C2312yes—
96C2×C4⋊Dic47C2314yes—
97C2×C4⋊Dic47C2312yes—
98C2×C4⋊Dic47C2314yes—
99C2×C4⋊Dic47C2314yes—
100C2×Dic47⋊C4C2314yes—
101C2×Dic47⋊C4C2314yes—
102C2×Dic47⋊C4C2314yes—
103C2×Dic47⋊C4C2314yes—
104C2×Dic47⋊C4C2312yes—
105C2×Dic47⋊C4C2312yes—
106C2×Dic47⋊C4C2314yes—
107C2×Dic47⋊C4C2314yes—
108C2×Dic47⋊C4C2314yes—
109C2×Dic47⋊C4C2314yes—
110C4⋊C4×D47—28no—
111C4⋊C4×D47—216no—
112C4⋊C4×D47—28no—
113C4⋊C4×D47—28no—
114C4⋊C4×D47—48no—
115C4⋊C4×D47—48no—
116C2×C22⋊Dic47C2312yes—
117C2×C22⋊Dic47C2314yes—
118C2×(C2×D47)⋊C4C2312yes—
119C2×(C2×D47)⋊C4C2312yes—
120C2×(C2×D47)⋊C4C2314yes—
121C2×(C2×D47)⋊C4C2314yes—
122C22⋊C4×D47—28no—
123C22⋊C4×D47—48no—
124C2×C4×Dic47C2312yes—
125C2×C4×Dic47C2311yescharacteristic
126C2×C4×Dic47C2312yes—
127C2×C4×Dic47C2311yescharacteristic
128C42×D47—24no—
129C42×D47D418yes—
130C47⋊#95C2314yes—
131C47⋊#95C2314yes—
132C47⋊#95C2314yes—
133C47⋊#95C2314yes—
134C47⋊#95C2314yes—
135C47⋊#95C2314yes—
136C23×C4×C47C2311yescharacteristic
137#125×C47—24no—
138#117×C47—24no—
139C2×C4⋊C4×C47C2312yes—
140C2×C4⋊C4×C47C2312yes—
141C2×C4⋊C4×C47C2312yes—
142C2×C4⋊C4×C47C2314yes—
143C2×C4⋊C4×C47C2314yes—
144C2×C4⋊C4×C47C2314yes—
145C2×C22⋊C4×C47C2312yes—
146C2×C22⋊C4×C47C2314yes—
147C2×C42×C47C2311yescharacteristic
148C2×C42×C47C2311yescharacteristic
149#95×C47C2314yes—
150#95×C47C2314yes—
151C24×C47C2411yescharacteristic
152C23×D47—22no—
153C23×D47—22no—
154C23×D47—24no—
155C23×D47—24no—
156C23×D47C2×Q814yes—
157C23×D47C2411yescharacteristic
158C23×D47C2411yescharacteristic
159C22×C4×C47—22no—
160C22×C4×C47—22no—
161C22×C4×C47C2×Q814yes—
162C22×C4×C47C2412yes—
163C22×C4×C47C2414yes—
164C22×C4×C47C2414yes—
165C22×C4×C47C2412yes—
166C22×C4×C47C2411yescharacteristic
167C22×C4×C47C2411yescharacteristic
168C22×Dic47—22no—
169C22×Dic47—22no—
170C22×Dic47C2×Q814yes—
171C22×Dic47C2412yes—
172C22×Dic47C2414yes—
173C22×Dic47C2414yes—
174C22×Dic47C2412yes—
175C22×Dic47C2411yescharacteristic
176C22×Dic47C2411yescharacteristic
177C2×C4×D47—22no—
178C2×C4×D47—22no—
179C2×C4×D47—24no—
180C2×C4×D47—24no—
181C2×C4×D47—22no—
182C2×C4×D47—22no—
183C2×C4×D47—22no—
184C2×C4×D47—22no—
185C2×C4×D47—232no—
186C2×C4×D47—24no—
187C2×C4×D47—28no—
188C2×C4×D47—28no—
189C2×C4×D47—28no—
190C2×C4×D47—28no—
191C2×C4×D47—24no—
192C2×C4×D47—28no—
193C2×C4×D47—24no—
194C2×C4×D47—28no—
195C2×C4×D47C2×D418yes—
196C2×C4×D47C2×D414yes—
197C2×C4×D47C2×Q814yes—
198C2×C4×D47C2×Q814yes—
199C2×C4×D47C2×Q814yes—
200C2×C4×D47C2×Q814yes—
201C2×C4×D47#4114yes—
202C4⋊C4×C47—24no—
203C4⋊C4×C47—28no—
204C4⋊C4×C47—24no—
205C4⋊C4×C47—24no—
206C4⋊C4×C47—44no—
207C4⋊C4×C47—44no—
208C22⋊C4×C47—24no—
209C22⋊C4×C47—44no—
210C42×C47—22no—
211C42×C47C2×D414yes—
212C22⋊Dic47—24no—
213C22⋊Dic47—44no—
214(C2×D47)⋊C4—24no—
215(C2×D47)⋊C4—24no—
216(C2×D47)⋊C4—44no—
217(C2×D47)⋊C4—44no—
218C4⋊Dic47—24no—
219C4⋊Dic47—24no—
220C4⋊Dic47—24no—
221C4⋊Dic47—28no—
222C4⋊Dic47—44no—
223C4⋊Dic47—44no—
224Dic47⋊C4—24no—
225Dic47⋊C4—28no—
226Dic47⋊C4—24no—
227Dic47⋊C4—28no—
228Dic47⋊C4—28no—
229Dic47⋊C4—28no—
230Dic47⋊C4—44no—
231Dic47⋊C4—44no—
232Dic47⋊C4—44no—
233Dic47⋊C4—44no—
234C4×Dic47—22no—
235C4×Dic47—24no—
236C4×Dic47C2×D418yes—
237C4×Dic47C2×D414yes—
238C23×C47—21no—
239C23×C47—21no—
240C23×C47—22no—
241C23×C47—22no—
242C23×C47C22×Q812yes—
243C23×C47C2511yescharacteristic
244C22×D47—21no—
245C22×D47—21no—
246C22×D47—22no—
247C22×D47—22no—
248C22×D47—28no—
249C22×D47—216no—
250C22×D47—48no—
251C22×D47—44no—
252C22×D47—44no—
253C22×D47C22×D412yes—
254C22×D47C22×Q812yes—
255C22×D47C22×Q812yes—
256C22×D47C2×#4112yes—
257C22×D47H(5,𝔽2)14yes—
258C22×D472−1+414yes—
259C2×C4×C47—21no—
260C2×C4×C47—21no—
261C2×C4×C47—22no—
262C2×C4×C47—22no—
263C2×C4×C47—28no—
264C2×C4×C47—22no—
265C2×C4×C47—24no—
266C2×C4×C47—24no—
267C2×C4×C47—22no—
268C2×C4×C47—24no—
269C2×C4×C47—24no—
270C2×C4×C47—24no—
271C2×C4×C47—22no—
272C2×C4×C47—24no—
273C2×C4×C47C22×D414yes—
274C2×C4×C47C22×D412yes—
275C2×C4×C47C22×Q812yes—
276C2×C4×C47C22×Q812yes—
277C2×C4×C47C2×#4112yes—
278C2×Dic47—21no—
279C2×Dic47—21no—
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—28no—
283C2×Dic47—22no—
284C2×Dic47—24no—
285C2×Dic47—24no—
286C2×Dic47—24no—
287C2×Dic47—22no—
288C2×Dic47—24no—
289C2×Dic47—24no—
290C2×Dic47—22no—
291C2×Dic47—24no—
292C2×Dic47C22×D414yes—
293C2×Dic47C22×D412yes—
294C2×Dic47C22×Q812yes—
295C2×Dic47C22×Q812yes—
296C2×Dic47C2×#4112yes—
297C4×D47—28no—
298C4×D47—216no—
299C4×D47—28no—
300C4×D47—28no—
301C4×D47—48no—
302C4×D47—416no—
303C4×D47—416no—
304C4×D47C22⋊Q8116yes—
305C2×#2629—471nomaximal, Sylow
306C22×C47—22no—
307C22×C47—24no—
308C22×C47—42no—
309C22×C47—41no—
310C22×C47—41no—
311C22×C47C23×D411yescharacteristic
312C22×C47C23×Q811yescharacteristic
313C22×C47C22×#4111yescharacteristic
314C22×C47C2×H(5,𝔽2)12yes—
315C22×C47C2×2−1+412yes—
316C2×D47—22no—
317C2×D47—24no—
318C2×D47—42no—
319C2×D47—41no—
320C2×D47—41no—
321C2×D47—416no—
322C2×D47C2×C22⋊Q814yes—
323C2×D47#53718yes—
324C2×D47#54014yes—
325C2×D47#54114yes—
326C2×D47#54418yes—
327C4×C47—22no—
328C4×C47—24no—
329C4×C47—42no—
330C4×C47—44no—
331C4×C47—44no—
332C4×C47C2×C22⋊Q814yes—
333Dic47—22no—
334Dic47—24no—
335Dic47—42no—
336Dic47—44no—
337Dic47—44no—
338Dic47C2×C22⋊Q814yes—
339C22×#125—471no—
340C22×#117—471no—
341#2629—474no—
342#2629—474no—
343#2629—472no—
344#2629—471no—
345#2629—472no—
346#2629—471no—
347#2629—471no—
348#2629D4711yescharacteristic, direct product factor
349C2×#398—474no—
350C2×#396—474no—
351C2×#389—472no—
352C2×#384—471no—
353C2×#380—472no—
354C2×C47—42no—
355C2×C47C22×C22⋊Q811yescharacteristic
356C2×C47C2×#53712yes—
357C2×C47C2×#54011yescharacteristic
358C2×C47C2×#54111yescharacteristic
359C2×C47C2×#54412yes—
360D47—42no—
361D47#262918yesdirect product factor
362C24×C4—471no—
363C2×#125—474no—
364C2×#125—472no—
365C2×#125—471no—
366C2×#125—948no—
367C2×#125C2×D4711yescharacteristic, complemented
368C2×#117—471no—
369C2×#117—472no—
370C2×#117—472no—
371C2×#117—471no—
372C2×#117—471no—
373C2×#117—948no—
374C2×#117C2×D4711yescharacteristic
375C22×C4⋊C4—474no—
376C22×C4⋊C4—472no—
377C22×C4⋊C4—472no—
378C22×C4⋊C4—472no—
379C22×C4⋊C4—474no—
380C22×C4⋊C4—474no—
381C22×C22⋊C4—472no—
382C22×C22⋊C4—474no—
383C22×C42—471no—
384C22×C42—471no—
385#398—474no—
386#398—474no—
387#398—474no—
388#398—474no—
389#398—474no—
390#398—474no—
391#398—474no—
392#398C2×D4714yescomplemented
393#396—474no—
394#396—474no—
395#396—474no—
396#396—474no—
397#396—474no—
398#396—474no—
399#396—474no—
400#396C2×D4714yes—
401#389—474no—
402#389—472no—
403#389—472no—
404#389—472no—
405#389—474no—
406#389C2×D4712yescomplemented
407#384—474no—
408#384—472no—
409#384—471no—
410#384C2×D4711yescharacteristic, complemented
411#380—472no—
412#380—472no—
413#380—472no—
414#380—474no—
415#380—474no—
416#380C2×D4712yes—
417C2×#95—474no—
418C2×#95—474no—
419C47C2×#262911yescharacteristic, complemented, Sylow
420C25—471no—
421C23×C4—471no—
422C23×C4—471no—
423C23×C4—478no—
424C23×C4—472no—
425C23×C4—471no—
426C23×C4—471no—
427C23×C4—471no—
428C23×C4—474no—
429C23×C4—474no—
430C23×C4—472no—
431C23×C4—944no—
432C23×C4—944no—
433C23×C4C22×D4711yescharacteristic
434#125—24no—
435#125—9416no—
436#125—948no—
437#125—944no—
438#117—24no—
439#117—944no—
440#117—948no—
441#117—948no—
442#117—944no—
443#117—944no—
444C2×C4⋊C4—472no—
445C2×C4⋊C4—472no—
446C2×C4⋊C4—472no—
447C2×C4⋊C4—474no—
448C2×C4⋊C4—474no—
449C2×C4⋊C4—474no—
450C2×C4⋊C4—472no—
451C2×C4⋊C4—474no—
452C2×C4⋊C4—474no—
453C2×C4⋊C4—472no—
454C2×C4⋊C4—474no—
455C2×C4⋊C4—474no—
456C2×C4⋊C4—474no—
457C2×C4⋊C4—474no—
458C2×C4⋊C4—474no—
459C2×C4⋊C4—474no—
460C2×C4⋊C4—948no—
461C2×C4⋊C4—948no—
462C2×C4⋊C4—9416no—
463C2×C4⋊C4—948no—
464C2×C4⋊C4—1888no—
465C2×C4⋊C4—1888no—
466C2×C4⋊C4C22×D4712yes—
467C2×C4⋊C4C22×D4712yes—
468C2×C4⋊C4C22×D4714yes—
469C2×C4⋊C4C22×D4712yes—
470C2×C4⋊C4C22×D4714yes—
471C2×C4⋊C4C22×D4714yes—
472C2×C22⋊C4—472no—
473C2×C22⋊C4—472no—
474C2×C22⋊C4—472no—
475C2×C22⋊C4—474no—
476C2×C22⋊C4—474no—
477C2×C22⋊C4—474no—
478C2×C22⋊C4—948no—
479C2×C22⋊C4—1888no—
480C2×C22⋊C4C22×D4712yes—
481C2×C22⋊C4C22×D4714yes—
482C2×C42—472no—
483C2×C42—471no—
484C2×C42—478no—
485C2×C42—472no—
486C2×C42—471no—
487C2×C42—944no—
488C2×C42C22×D4711yescharacteristic
489C2×C42C22×D4711yescharacteristic
490#95—474no—
491#95—474no—
492#95—474no—
493#95—474no—
494#95—474no—
495#95—474no—
496#95C22×D4714yes—
497#95C22×D4714yes—
498C24—471no—
499C24—474no—
500C24—471no—
501C24—942no—
502C24—944no—
503C24—942no—
504C24—944no—
505C24C23×D4711yescharacteristic
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—471no—
509C22×C4—474no—
510C22×C4—474no—
511C22×C4—474no—
512C22×C4—474no—
513C22×C4—471no—
514C22×C4—472no—
515C22×C4—478no—
516C22×C4—474no—
517C22×C4—474no—
518C22×C4—474no—
519C22×C4—472no—
520C22×C4—474no—
521C22×C4—474no—
522C22×C4—942no—
523C22×C4—942no—
524C22×C4—9432no—
525C22×C4—942no—
526C22×C4—944no—
527C22×C4—944no—
528C22×C4—942no—
529C22×C4—944no—
530C22×C4—948no—
531C22×C4—948no—
532C22×C4—948no—
533C22×C4—948no—
534C22×C4—948no—
535C22×C4—944no—
536C22×C4—948no—
537C22×C4—944no—
538C22×C4—942no—
539C22×C4—942no—
540C22×C4—942no—
541C22×C4—942no—
542C22×C4Q8×D4714yes—
543C22×C4C23×D4712yes—
544C22×C4C23×D4714yes—
545C22×C4C23×D4714yes—
546C22×C4C23×D4712yes—
547C22×C4C23×D4711yescharacteristic
548C22×C4C23×D4711yescharacteristic
549C4⋊C4—24no—
550C4⋊C4—28no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—948no—
556C4⋊C4—944no—
557C4⋊C4—948no—
558C4⋊C4—948no—
559C4⋊C4—944no—
560C4⋊C4—948no—
561C4⋊C4—944no—
562C4⋊C4—948no—
563C4⋊C4—944no—
564C4⋊C4—944no—
565C4⋊C4—1884no—
566C4⋊C4—1884no—
567C4⋊C4—1884no—
568C4⋊C4—1884no—
569C4⋊C4—1884no—
570C4⋊C4—1884no—
571C22⋊C4—24no—
572C22⋊C4—44no—
573C22⋊C4—944no—
574C22⋊C4—944no—
575C22⋊C4—944no—
576C22⋊C4—1884no—
577C22⋊C4—1884no—
578C22⋊C4—1884no—
579C42—22no—
580C42—478no—
581C42—474no—
582C42—944no—
583C42—942no—
584C42D4×D4714yes—
585C23—21no—
586C23—21no—
587C23—22no—
588C23—22no—
589C23—472no—
590C23—472no—
591C23—472no—
592C23—474no—
593C23—474no—
594C23—472no—
595C23—948no—
596C23—9416no—
597C23—941no—
598C23—941no—
599C23—942no—
600C23—942no—
601C23—1888no—
602C23—1884no—
603C23—1884no—
604C23C2×Q8×D4712yes—
605C23C24×D4711yescharacteristic
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—28no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—472no—
621C2×C4—472no—
622C2×C4—472no—
623C2×C4—4716no—
624C2×C4—474no—
625C2×C4—472no—
626C2×C4—948no—
627C2×C4—9416no—
628C2×C4—948no—
629C2×C4—948no—
630C2×C4—941no—
631C2×C4—941no—
632C2×C4—942no—
633C2×C4—942no—
634C2×C4—948no—
635C2×C4—942no—
636C2×C4—944no—
637C2×C4—944no—
638C2×C4—944no—
639C2×C4—944no—
640C2×C4—942no—
641C2×C4—944no—
642C2×C4—942no—
643C2×C4—944no—
644C2×C4—1888no—
645C2×C4—18816no—
646C2×C4—18816no—
647C2×C4C2×D4×D4714yes—
648C2×C4C2×D4×D4712yes—
649C2×C4C2×Q8×D4712yes—
650C2×C4C2×Q8×D4712yes—
651C2×C4#41×D4712yes—
652C22—24no—
653C22—22no—
654C22—42no—
655C22—41no—
656C22—41no—
657C22—478no—
658C22—474no—
659C22—478no—
660C22—474no—
661C22—474no—
662C22—944no—
663C22—942no—
664C22—18816no—
665C22—1882no—
666C22—1881no—
667C22—1881no—
668C22C22×D4×D4711yescharacteristic
669C22C22×Q8×D4711yescharacteristic
670C22C2×#41×D4711yescharacteristic
671C22H(5,𝔽2)×D4712yes—
672C222−1+4×D4712yes—
673C4—22no—
674C4—24no—
675C4—42no—
676C4—44no—
677C4—44no—
678C4—474no—
679C4—942no—
680C4—944no—
681C4—1882no—
682C4—1884no—
683C4—1884no—
684C4C22⋊Q8×D4714yes—
685C2—42no—
686C2—478no—
687C2—1882no—
688C2C2×C22⋊Q8×D4711yescharacteristic
689C2#537×D4712yes—
690C2#540×D4711yescharacteristic
691C2#541×D4711yescharacteristic
692C2#544×D4712yes—
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2629C2
prime radicalC24×D47C23
hypercenter#2629D47
hypocenterC47C2×#2629
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2629

Complements

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

NH ≅ G/Ntype
1. C2×#125×D47C2semidirect
3. #20249223C2semidirect
4. #20249222C2semidirect
5. #20249221C2semidirect
6. #20249220C2semidirect
7. #20249219C2semidirect
8. #20249218C2semidirect
9. #20249217C2semidirect
10. #398×D47C2semidirect
12. #389×D47C2semidirect
13. #384×D47C2semidirect
15. C47×#2629C2semidirect
17. C2×#13094016C22semidirect
18. C2×#13094015C22semidirect
19. C2×#13094014C22semidirect
37. #15689057C22semidirect
38. #15689057C22semidirect
39. #15689056C22semidirect
40. #15689056C22semidirect
41. #15689055C22semidirect
42. #15689054C22semidirect
43. #15689053C22semidirect
51. #15689022C22semidirect
52. #15689021C22semidirect
53. #15689020C22semidirect
54. #15689019C22semidirect
55. #15689018C22semidirect
56. #15688993C22semidirect
57. #15688992C22semidirect
58. #15688992C22semidirect
66. C2×#125×C47C22semidirect
68. C47×#398C22semidirect
70. C47×#389C22semidirect
71. C47×#384C22semidirect
348. #2629D47direct (N × H)
361. D47#2629direct (N × H)
367. C2×#125C2×D47semidirect
392. #398C2×D47semidirect
406. #389C2×D47semidirect
410. #384C2×D47semidirect
419. C47C2×#2629semidirect

Maximal subgroups

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

subgroupindex
C2×#125×D472
C2×#117×D472
#202492232
#202492222
#202492212
#202492202
#202492192
#202492182
#202492172
#398×D472
#396×D472
#389×D472
#384×D472
#380×D472
C47×#26292
C2×#262947