Finite Group Databasebeta

← D47×#1922 #26218518

Subgroups — D47×#1922 #26218518

Order 12032.

854 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#427×D47C211yesmaximal, characteristic
2#424×D47C211yesmaximal, characteristic
3#405×D47C211yesmaximal, characteristic
4#20243990C211yesmaximal, characteristic, complemented
5#20243989C211yesmaximal, characteristic, complemented
6#20243988C211yesmaximal, characteristic, complemented
7#20243987C211yesmaximal, characteristic, complemented
8#20243986C211yesmaximal, characteristic, complemented
9#20243985C211yesmaximal, characteristic, complemented
10#20243984C211yesmaximal, characteristic, complemented
11#341×D47C211yesmaximal, characteristic
12#339×D47C211yesmaximal, characteristic
13#339×D47C211yesmaximal, characteristic
14#336×D47C211yesmaximal, characteristic
15C47×#1922C211yesmaximal, characteristic, complemented
16C2×M16×D47C2211yescharacteristic
17C2×M16×D47C2211yescharacteristic
18C22×C8×D47C2211yescharacteristic
19C22×C8×D47C2211yescharacteristic
20#117×D47C2211yescharacteristic
21#117×D47C2211yescharacteristic
22C2×C42×D47C2211yescharacteristic
23#15689161C2211yescharacteristic
24#15689160C411yescharacteristic, complemented
25#15689160C411yescharacteristic, complemented
26#15689159C2211yescharacteristic
27#15689159C2211yescharacteristic
28#15689158C411yescharacteristic, complemented
29#15689158C411yescharacteristic, complemented
30#107×D47C411yescharacteristic, complemented
31#107×D47C411yescharacteristic, complemented
32#106×D47C411yescharacteristic, complemented
33#106×D47C411yescharacteristic, complemented
34#15689151C2211yescharacteristic
35#15689150C2211yescharacteristic
36#15689149C2211yescharacteristic
37#15689148—21no—
38#15689148—21no—
39C4⋊C8×D47—21no—
40C4⋊C8×D47—21no—
41#15689081C2211yescharacteristic
42#15689080—21no—
43#15689079C2211yescharacteristic
44#15689078C2211yescharacteristic
45#15689077—21no—
46#97×D47—21no—
47C4×C8×D47—21no—
48#15688888C2211yescharacteristic
49#15688887C2211yescharacteristic
50#15688887C2211yescharacteristic
51#15688884C2211yescharacteristic
52#15688884C2211yescharacteristic
53#15688883C2211yescharacteristic
54#15688883C2211yescharacteristic
55#15688882C2211yescharacteristic
56#15688882C2211yescharacteristic
57#15688878C2211yescharacteristic
58#15688877C2211yescharacteristic
59#15688877C2211yescharacteristic
60C47×#427C2211yescharacteristic
61C47×#424C2211yescharacteristic
62C47×#405C2211yescharacteristic
63C47×#341C2211yescharacteristic
64C47×#339C2211yescharacteristic
65C47×#339C2211yescharacteristic
66C47×#336C2211yescharacteristic
67C22×C4×D47—21no—
68C22×C4×D47C2311yescharacteristic
69C2×#10625329C2311yescharacteristic
70C2×#10625329C2311yescharacteristic
71C2×#10625324—21no—
72C2×#10625324—21no—
73M16×D47—22no—
74M16×D47—22no—
75M16×D47—22no—
76M16×D47Q814yes—
77C22×C47⋊C8C2311yescharacteristic
78C22×C47⋊C8C2311yescharacteristic
79C2×C8×D47—21no—
80C2×C8×D47—22no—
81C2×C8×D47—22no—
82C2×C8×D47—22no—
83C2×C8×D47—22no—
84C2×C8×D47—21no—
85C2×C8×D47C2×C411yescharacteristic
86C2×C8×D47C2×C411yescharacteristic
87C2×C8×D47C2×C411yescharacteristic
88C2×C8×D47C2×C411yescharacteristic
89C2×C8×D47D411yescharacteristic
90C2×C8×D47D411yescharacteristic
91C2×C8×D47D411yescharacteristic
92C2×C8×D47D411yescharacteristic
93#13093983C2311yescharacteristic
94#13093983C2311yescharacteristic
95#13093982C2×C411yescharacteristic
96#13093982C2×C411yescharacteristic
97#13093982C2×C411yescharacteristic
98#13093982C2×C411yescharacteristic
99#13093981—21no—
100#13093981—21no—
101#13093980—21no—
102#13093980—21no—
103C4⋊C4×D47C2×C411yescharacteristic
104C4⋊C4×D47C2×C411yescharacteristic
105C4⋊C4×D47C2×C411yescharacteristic
106C4⋊C4×D47C2×C411yescharacteristic
107C22⋊C4×D47—21no—
108C22⋊C4×D47—21no—
109C2×C4×Dic47—21no—
110C2×C4×Dic47C2311yescharacteristic
111C42×D47—21no—
112C42×D47—21no—
113C42×D47—22no—
114C42×D47—22no—
115#13093958C2×C411yescharacteristic, complemented
116#13093958C2×C411yescharacteristic, complemented
117#13093957C2×C411yescharacteristic, complemented
118#13093957C2×C411yescharacteristic, complemented
119#13093957C2×C411yescharacteristic, complemented
120#13093957C2×C411yescharacteristic, complemented
121#13093956C2×C411yescharacteristic, complemented
122#13093956C2×C411yescharacteristic, complemented
123#13093955C2×C411yescharacteristic, complemented
124#13093955C2×C411yescharacteristic, complemented
125#13093955C2×C411yescharacteristic, complemented
126#13093955C2×C411yescharacteristic, complemented
127C4⋊(C47⋊C8)—21no—
128C4⋊(C47⋊C8)—21no—
129Dic47⋊C8—21no—
130Dic47⋊C8—21no—
131Dic47⋊C8—21no—
132Dic47⋊C8—21no—
133#13093935—21no—
134#13093934—21no—
135#13093934—21no—
136C4×C47⋊C8—21no—
137C8×Dic47—21no—
138C8×Dic47—21no—
139C2×M16×C47C2311yescharacteristic
140C2×M16×C47C2311yescharacteristic
141C22×C8×C47C2311yescharacteristic
142C22×C8×C47C2311yescharacteristic
143#117×C47C2311yescharacteristic
144#117×C47C2311yescharacteristic
145C2×C42×C47C2311yescharacteristic
146#107×C47C2×C411yescharacteristic, complemented
147#107×C47C2×C411yescharacteristic, complemented
148#106×C47C2×C411yescharacteristic, complemented
149#106×C47C2×C411yescharacteristic, complemented
150C4⋊C8×C47—21no—
151C4⋊C8×C47—21no—
152#97×C47—21no—
153C4×C8×C47—21no—
154C23×D47#4111yescharacteristic
155C22×C4×C47—21no—
156C22×C4×C47C2411yescharacteristic
157C22×Dic47—21no—
158C22×Dic47#4111yescharacteristic
159C2×C4×D47—24no—
160C2×C4×D47—21no—
161C2×C4×D47—21no—
162C2×C4×D47—21no—
163C2×C4×D47—21no—
164C2×C4×D47—42no—
165C2×C4×D47—42no—
166C2×C4×D47C22×C411yescharacteristic
167C2×C4×D47C22×C411yescharacteristic
168C2×C4×D47C2×D411yescharacteristic
169C2×C4×D47C2×D411yescharacteristic
170C2×C4×D47C2×Q812yes—
171C2×C4×D47#4112yes—
172C2×C4×D47#4112yes—
173C2×C4×D47#4112yes—
174M16×C47—21no—
175M16×C47—21no—
176M16×C47—21no—
177M16×C47C2×Q812yes—
178C2×C8×C47—21no—
179C2×C8×C47—21no—
180C2×C8×C47—21no—
181C2×C8×C47—21no—
182C2×C8×C47—21no—
183C2×C8×C47—21no—
184C2×C8×C47C22×C411yescharacteristic
185C2×C8×C47C22×C411yescharacteristic
186C2×C8×C47C2×D411yescharacteristic
187C2×C8×C47C2×D411yescharacteristic
188C4⋊C4×C47C22×C411yescharacteristic
189C4⋊C4×C47C22×C411yescharacteristic
190C4⋊C4×C47C22×C411yescharacteristic
191C4⋊C4×C47C22×C411yescharacteristic
192C22⋊C4×C47—21no—
193C22⋊C4×C47—21no—
194C42×C47—21no—
195C42×C47—21no—
196C42×C47—21no—
197C42×C47—21no—
198C22⋊Dic47—21no—
199C22⋊Dic47—21no—
200(C2×D47)⋊C4—21no—
201(C2×D47)⋊C4—21no—
202(C2×D47)⋊C4—21no—
203(C2×D47)⋊C4—21no—
204C4⋊Dic47C22×C411yescharacteristic
205C4⋊Dic47C22×C411yescharacteristic
206C4⋊Dic47C22×C411yescharacteristic
207C4⋊Dic47C22×C411yescharacteristic
208Dic47⋊C4—21no—
209Dic47⋊C4—21no—
210Dic47⋊C4—21no—
211Dic47⋊C4—21no—
212C4×Dic47—21no—
213C4×Dic47—21no—
214C4×Dic47—21no—
215C4×Dic47—21no—
216C4×Dic47—21no—
217C4×Dic47—21no—
218C4×Dic47—21no—
219C4×Dic47—21no—
220C4×Dic47—42no—
221#10625329—21no—
222#10625329—21no—
223#10625329—21no—
224#10625329C2×Q812yes—
225C2×C47⋊C8—21no—
226C2×C47⋊C8—21no—
227C2×C47⋊C8—21no—
228C2×C47⋊C8—21no—
229C2×C47⋊C8—21no—
230C2×C47⋊C8—21no—
231C2×C47⋊C8C22×C411yescharacteristic
232C2×C47⋊C8C22×C411yescharacteristic
233C2×C47⋊C8C2×D411yescharacteristic
234C2×C47⋊C8C2×D411yescharacteristic
235#10625324—24no—
236#10625324—42no—
237C8×D47—22no—
238C8×D47—22no—
239C8×D47—22no—
240C8×D47—22no—
241C8×D47—24no—
242C8×D47—22no—
243C8×D47—22no—
244C8×D47—22no—
245C8×D47—22no—
246C8×D47—42no—
247C23×C47C2×#4111yescharacteristic
248C22×D47—22no—
249C22×D47—22no—
250C22×D47C4×D411yescharacteristic
251C22×D47C4×D411yescharacteristic
252C22×D47#12512yes—
253C22×D47#12612yes—
254C2×C4×C47—22no—
255C2×C4×C47—21no—
256C2×C4×C47—21no—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
259C2×C4×C47—41no—
260C2×C4×C47—41no—
261C2×C4×C47C23×C411yescharacteristic
262C2×C4×C47C22×D411yescharacteristic
263C2×C4×C47C22×Q811yescharacteristic
264C2×C4×C47C2×#4111yescharacteristic
265C2×C4×C47C2×#4111yescharacteristic
266C2×C4×C47C2×#4111yescharacteristic
267C2×Dic47—22no—
268C2×Dic47—21no—
269C2×Dic47—21no—
270C2×Dic47—21no—
271C2×Dic47—21no—
272C2×Dic47—41no—
273C2×Dic47—41no—
274C2×Dic47C4×D411yescharacteristic
275C2×Dic47C4×D411yescharacteristic
276C2×Dic47#12512yes—
277C2×Dic47#12612yes—
278C4×D47—48no—
279C4×D47—42no—
280C4×D47—42no—
281C4×D47—42no—
282C4×D47—42no—
283C4×D47#11712yes—
284C4×D47#11712yes—
285C4×D47C4×Q812yes—
286C4×D47C4×Q812yes—
287C4×D47C22⋊Q812yes—
288C4×D47C22⋊Q812yes—
289C4×D47#12312yes—
290C4×D47#12312yes—
291C8×C47—21no—
292C8×C47—21no—
293C8×C47—22no—
294C8×C47—21no—
295C8×C47—21no—
296C8×C47—41no—
297C47⋊C8—21no—
298C47⋊C8—21no—
299C47⋊C8—22no—
300C47⋊C8—21no—
301C47⋊C8—21no—
302C47⋊C8—41no—
303C2×#1922—471nomaximal, Sylow
304C22×C47—21no—
305C22×C47—21no—
306C22×C47C2×C4×D411yescharacteristic
307C22×C47C2×#12511yescharacteristic
308C22×C47C2×#12611yescharacteristic
309C2×D47—21no—
310C2×D47—21no—
311C2×D47—24no—
312C2×D47—24no—
313C2×D47#38712yes—
314C2×D47#38712yes—
315C2×D47#44312yes—
316C2×D47#44412yes—
317C4×C47—42no—
318C4×C47—41no—
319C4×C47—41no—
320C4×C47—41no—
321C4×C47—41no—
322C4×C47C2×#11711yescharacteristic
323C4×C47C2×C4×Q811yescharacteristic
324C4×C47C2×C22⋊Q811yescharacteristic
325C4×C47C2×#12311yescharacteristic
326Dic47—42no—
327Dic47—41no—
328Dic47—41no—
329Dic47—41no—
330Dic47—41no—
331Dic47#38712yes—
332Dic47#38712yes—
333C2×#427—471no—
334C2×#424—471no—
335C2×#405—471no—
336#1922—471no—
337#1922—471no—
338#1922—471no—
339#1922—471no—
340#1922—471no—
341#1922—471no—
342#1922—471no—
343#1922D4711yescharacteristic, direct product factor
344C2×#341—471no—
345C2×#339—471no—
346C2×#339—471no—
347C2×#336—471no—
348C2×C47—21no—
349C2×C47—21no—
350C2×C47C2×#38711yescharacteristic
351C2×C47C2×#44311yescharacteristic
352C2×C47C2×#44411yescharacteristic
353D47—22no—
354D47#192214yesdirect product factor
355C22×M16—471no—
356C22×M16—471no—
357C23×C8—471no—
358C23×C8—471no—
359C2×#117—471no—
360C2×#117—471no—
361C22×C42—471no—
362#427—471no—
363#427—471no—
364#427—471no—
365#427—471no—
366#427—471no—
367#427—471no—
368#427—471no—
369#427C2×D4711yescharacteristic
370C2×#107—471no—
371C2×#107—471no—
372C2×#106—471no—
373C2×#106—471no—
374#424—471no—
375#424—471no—
376#424—471no—
377#424—941no—
378#424—941no—
379#424C2×D4711yescharacteristic
380C2×C4⋊C8—941no—
381C2×C4⋊C8—941no—
382#405—471no—
383#405—471no—
384#405—471no—
385#405—941no—
386#405—941no—
387#405C2×D4711yescharacteristic
388C2×#97—941no—
389C2×C4×C8—941no—
390#341—471no—
391#341—471no—
392#341—471no—
393#341C2×D4711yescharacteristic
394#339—471no—
395#339—471no—
396#339—471no—
397#339—471no—
398#339—471no—
399#339—471no—
400#339C2×D4711yescharacteristic
401#339C2×D4711yescharacteristic
402#336—471no—
403#336—471no—
404#336—471no—
405#336C2×D4711yescharacteristic
406C47C2×#192211yescharacteristic, complemented, Sylow
407C23×C4—471no—
408C23×C4—941no—
409C2×M16—471no—
410C2×M16—474no—
411C2×M16—471no—
412C2×M16—941no—
413C2×M16—941no—
414C2×M16—942no—
415C2×M16—942no—
416C2×M16—942no—
417C2×M16C22×D4711yescharacteristic
418C2×M16C22×D4711yescharacteristic
419C22×C8—471no—
420C22×C8—471no—
421C22×C8—471no—
422C22×C8—471no—
423C22×C8—471no—
424C22×C8—471no—
425C22×C8—471no—
426C22×C8—471no—
427C22×C8—471no—
428C22×C8—471no—
429C22×C8—942no—
430C22×C8—942no—
431C22×C8—942no—
432C22×C8—942no—
433C22×C8—941no—
434C22×C8—941no—
435C22×C8C22×D4711yescharacteristic
436C22×C8C22×D4711yescharacteristic
437#117—471no—
438#117—471no—
439#117—471no—
440#117—471no—
441#117—471no—
442#117—471no—
443#117—941no—
444#117—941no—
445#117—941no—
446#117—941no—
447#117C22×D4711yescharacteristic
448#117C22×D4711yescharacteristic
449C2×C4⋊C4—471no—
450C2×C4⋊C4—471no—
451C2×C4⋊C4—471no—
452C2×C4⋊C4—471no—
453C2×C22⋊C4—941no—
454C2×C22⋊C4—941no—
455C2×C42—471no—
456C2×C42—941no—
457C2×C42—941no—
458C2×C42—942no—
459C2×C42—942no—
460C2×C42—941no—
461C2×C42C22×D4711yescharacteristic
462#107—471no—
463#107—471no—
464#107—471no—
465#107—471no—
466#107—471no—
467#107—471no—
468#107C4×D4711yescharacteristic, complemented
469#107C4×D4711yescharacteristic, complemented
470#106—471no—
471#106—471no—
472#106—471no—
473#106—471no—
474#106—471no—
475#106—471no—
476#106C4×D4711yescharacteristic, complemented
477#106C4×D4711yescharacteristic, complemented
478C4⋊C8—21no—
479C4⋊C8—21no—
480C4⋊C8—941no—
481C4⋊C8—941no—
482C4⋊C8—941no—
483C4⋊C8—941no—
484C4⋊C8—941no—
485C4⋊C8—941no—
486#97—21no—
487#97—941no—
488#97—941no—
489#97—941no—
490C4×C8—21no—
491C4×C8—941no—
492C4×C8—941no—
493C4×C8—941no—
494C24—471no—
495C22×C4—21no—
496C22×C4—471no—
497C22×C4—471no—
498C22×C4—471no—
499C22×C4—471no—
500C22×C4—471no—
501C22×C4—472no—
502C22×C4—472no—
503C22×C4—472no—
504C22×C4—472no—
505C22×C4—941no—
506C22×C4—941no—
507C22×C4—941no—
508C22×C4—941no—
509C22×C4—944no—
510C22×C4—941no—
511C22×C4—1882no—
512C22×C4—1882no—
513C22×C4C23×D4711yescharacteristic
514M16—21no—
515M16—21no—
516M16—21no—
517M16—472no—
518M16—944no—
519M16—941no—
520M16—941no—
521M16—941no—
522M16—1882no—
523M16Q8×D4712yes—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—471no—
531C2×C8—471no—
532C2×C8—471no—
533C2×C8—471no—
534C2×C8—942no—
535C2×C8—942no—
536C2×C8—942no—
537C2×C8—942no—
538C2×C8—942no—
539C2×C8—942no—
540C2×C8—942no—
541C2×C8—942no—
542C2×C8—944no—
543C2×C8—941no—
544C2×C8—941no—
545C2×C8—941no—
546C2×C8—941no—
547C2×C8—941no—
548C2×C8—941no—
549C2×C8—1882no—
550C2×C8C2×C4×D4711yescharacteristic
551C2×C8C2×C4×D4711yescharacteristic
552C2×C8D4×D4711yescharacteristic
553C2×C8D4×D4711yescharacteristic
554C4⋊C4—471no—
555C4⋊C4—471no—
556C4⋊C4—471no—
557C4⋊C4—471no—
558C4⋊C4—941no—
559C4⋊C4—941no—
560C4⋊C4—941no—
561C4⋊C4—941no—
562C4⋊C4C2×C4×D4711yescharacteristic
563C4⋊C4C2×C4×D4711yescharacteristic
564C4⋊C4C2×C4×D4711yescharacteristic
565C4⋊C4C2×C4×D4711yescharacteristic
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—941no—
569C22⋊C4—941no—
570C22⋊C4—941no—
571C22⋊C4—941no—
572C22⋊C4—941no—
573C22⋊C4—941no—
574C42—21no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—941no—
579C42—941no—
580C42—941no—
581C42—941no—
582C42—941no—
583C42—941no—
584C42—941no—
585C42—941no—
586C42—1882no—
587C23—471no—
588C23—471no—
589C23—472no—
590C23—472no—
591C23—942no—
592C23—942no—
593C23#41×D4711yescharacteristic
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—471no—
602C2×C4—471no—
603C2×C4—472no—
604C2×C4—472no—
605C2×C4—472no—
606C2×C4—472no—
607C2×C4—472no—
608C2×C4—472no—
609C2×C4—472no—
610C2×C4—472no—
611C2×C4—472no—
612C2×C4—472no—
613C2×C4—942no—
614C2×C4—941no—
615C2×C4—941no—
616C2×C4—941no—
617C2×C4—941no—
618C2×C4—1882no—
619C2×C4—1882no—
620C2×C4—1882no—
621C2×C4—1882no—
622C2×C4—1888no—
623C2×C4—1881no—
624C2×C4—1881no—
625C2×C4C22×C4×D4711yescharacteristic
626C2×C4C2×D4×D4711yescharacteristic
627C2×C4C2×Q8×D4711yescharacteristic
628C2×C4#41×D4711yescharacteristic
629C2×C4#41×D4711yescharacteristic
630C2×C4#41×D4711yescharacteristic
631C8—21no—
632C8—21no—
633C8—22no—
634C8—21no—
635C8—21no—
636C8—41no—
637C8—941no—
638C8—941no—
639C8—942no—
640C8—941no—
641C8—941no—
642C8—1881no—
643C22—21no—
644C22—21no—
645C22—472no—
646C22—472no—
647C22—472no—
648C22—472no—
649C22—944no—
650C22—944no—
651C22—941no—
652C22—941no—
653C22C4×D4×D4711yescharacteristic
654C22#125×D4711yescharacteristic
655C22#126×D4711yescharacteristic
656C4—42no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—41no—
661C4—472no—
662C4—472no—
663C4—1882no—
664C4—1881no—
665C4—1881no—
666C4—1881no—
667C4—1881no—
668C4#117×D4711yescharacteristic
669C4C4×Q8×D4711yescharacteristic
670C4C22⋊Q8×D4711yescharacteristic
671C4#123×D4711yescharacteristic
672C2—21no—
673C2—21no—
674C2—474no—
675C2—942no—
676C2#387×D4711yescharacteristic
677C2#443×D4711yescharacteristic
678C2#444×D4711yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1922C2
socleC22×C47C2×C4×D4
prime radicalC23×D47#41
cosocleC22×C4×C47C24
hypercenter#1922D47
hypocenterC47C2×#1922
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1922

Complements

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

NH ≅ G/Ntype
4. #20243990C2semidirect
5. #20243989C2semidirect
6. #20243988C2semidirect
7. #20243987C2semidirect
8. #20243986C2semidirect
9. #20243985C2semidirect
10. #20243984C2semidirect
15. C47×#1922C2semidirect
24. #15689160C4semidirect
25. #15689160C4semidirect
28. #15689158C4semidirect
29. #15689158C4semidirect
30. #107×D47C4semidirect
31. #107×D47C4semidirect
32. #106×D47C4semidirect
33. #106×D47C4semidirect
115. #13093958C2×C4semidirect
116. #13093958C2×C4semidirect
117. #13093957C2×C4semidirect
118. #13093957C2×C4semidirect
119. #13093957C2×C4semidirect
120. #13093957C2×C4semidirect
121. #13093956C2×C4semidirect
122. #13093956C2×C4semidirect
123. #13093955C2×C4semidirect
124. #13093955C2×C4semidirect
125. #13093955C2×C4semidirect
126. #13093955C2×C4semidirect
146. #107×C47C2×C4semidirect
147. #107×C47C2×C4semidirect
148. #106×C47C2×C4semidirect
149. #106×C47C2×C4semidirect
343. #1922D47direct (N × H)
354. D47#1922direct (N × H)
406. C47C2×#1922semidirect
468. #107C4×D47semidirect
469. #107C4×D47semidirect
476. #106C4×D47semidirect
477. #106C4×D47semidirect

Maximal subgroups

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

subgroupindex
#427×D472
#424×D472
#405×D472
#202439902
#202439892
#202439882
#202439872
#202439862
#202439852
#202439842
#341×D472
#339×D472
#336×D472
C47×#19222
C2×#192247