Finite Group Databasebeta

← D47×#1586 #26185829

Subgroups — D47×#1586 #26185829

Order 12032.

838 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×D8×D47C211yesmaximal, characteristic
2#436×D47C211yesmaximal, characteristic, complemented
3C8×D4×D47C211yesmaximal, characteristic, complemented
4#20242255C211yesmaximal, characteristic, complemented
5#20242254C211yesmaximal, characteristic, complemented
6#20242253C211yesmaximal, characteristic, complemented
7#20242252C211yesmaximal, characteristic, complemented
8#20242251C211yesmaximal, characteristic, complemented
9#20242250C211yesmaximal, characteristic, complemented
10#20242249C211yesmaximal, characteristic, complemented
11#334×D47C211yesmaximal, characteristic, complemented
12D4⋊C8×D47C211yesmaximal, characteristic, complemented
13D4⋊C8×D47C211yesmaximal, characteristic, complemented
14#322×D47C211yesmaximal, characteristic, complemented
15C47×#1586C211yesmaximal, characteristic, complemented
16C2×D8×D47C411yescharacteristic
17C2×M16×D47—21no—
18C22×C8×D47—21no—
19C4×D4×D47C2211yescharacteristic
20C4×D4×D47C2211yescharacteristic
21C4×D376C2211yescharacteristic
22D8×Dic47C411yescharacteristic
23#15689205C411yescharacteristic
24C4×#10625334C2211yescharacteristic
25C4×#10625334C2211yescharacteristic
26#15689203C411yescharacteristic
27#15689203C411yescharacteristic
28#15689202C2211yescharacteristic, complemented
29#15689201C2211yescharacteristic, complemented
30#15689200C2211yescharacteristic, complemented
31#15689199—21no—
32#15689198—21no—
33C8×D188C2211yescharacteristic, complemented
34D4×C47⋊C8C2211yescharacteristic, complemented
35#15689188C2211yescharacteristic, complemented
36C8×C22⋊D47—21no—
37(C22⋊D47)⋊C8—21no—
38#107×D47C411yescharacteristic
39C4⋊C8×D47C2211yescharacteristic
40C4⋊C8×D47C2211yescharacteristic
41#102×D47C411yescharacteristic
42#102×D47C411yescharacteristic
43C22⋊C8×D47—21no—
44C22⋊C8×D47—21no—
45C4×C8×D47C2211yescharacteristic
46C4×C8×D47C2211yescharacteristic
47C4×C8×D47C2211yescharacteristic
48#15688874C2211yescharacteristic, complemented
49#15688873C2211yescharacteristic, complemented
50#15688873C2211yescharacteristic, complemented
51#15688852C2211yescharacteristic, complemented
52#15688852C2211yescharacteristic, complemented
53D4⋊(C47⋊C8)C2211yescharacteristic, complemented
54D4⋊(C47⋊C8)C2211yescharacteristic, complemented
55#15688850C2211yescharacteristic, complemented
56#15688850C2211yescharacteristic, complemented
57#15688845C2211yescharacteristic, complemented
58#15688845C2211yescharacteristic, complemented
59#15688844C2211yescharacteristic, complemented
60C4×D8×C47C2211yescharacteristic
61C47×#436C2211yescharacteristic, complemented
62C8×D4×C47C2211yescharacteristic, complemented
63C47×#334C2211yescharacteristic, complemented
64C47×D4⋊C8C2211yescharacteristic, complemented
65C47×D4⋊C8C2211yescharacteristic, complemented
66C47×#322C2211yescharacteristic, complemented
67C2×D4×D47C2×C411yescharacteristic
68C2×D4×D47C2×C411yescharacteristic
69C22×C4×D47—21no—
70C22×C4×D47—21no—
71C2×D376C2×C411yescharacteristic
72C2×#10625334C2×C411yescharacteristic
73C2×#10625334C2×C411yescharacteristic
74D8×D47—24no—
75C2×#10625329—21no—
76C2×#10625324—21no—
77C2×#10625324—21no—
78M16×D47—44no—
79C22×C47⋊C8—21no—
80C2×C8×D47—21no—
81C2×C8×D47—21no—
82C2×C8×D47—21no—
83C2×C8×D47—21no—
84C2×C8×D47—21no—
85C2×C8×D47—44no—
86C2×C8×D47C2×C411yescharacteristic
87C2×C8×D47C2×C411yescharacteristic
88C2×C8×D47D411yescharacteristic
89C2×C8×D47D411yescharacteristic
90C4×D188C2311yescharacteristic
91C4×D188C2311yescharacteristic
92D4×Dic47C2×C411yescharacteristic
93D4×Dic47C2×C411yescharacteristic
94#13093986C2×C411yescharacteristic
95#13093986C2×C411yescharacteristic
96C4×C22⋊D47—21no—
97C4×C22⋊D47—21no—
98(C22⋊D47)⋊C4—21no—
99(C22⋊D47)⋊C4—21no—
100C4⋊C4×D47C2×C411yescharacteristic
101C4⋊C4×D47C2×C411yescharacteristic
102C22⋊C4×D47—21no—
103C22⋊C4×D47—21no—
104C42×D47C2311yescharacteristic
105#13093958C2×C411yescharacteristic
106#13093957C2×C411yescharacteristic
107#13093957C2×C411yescharacteristic
108C4⋊(C47⋊C8)C2311yescharacteristic
109C4⋊(C47⋊C8)C2311yescharacteristic
110Dic47⋊C8—21no—
111Dic47⋊C8—21no—
112#13093946C2×C411yescharacteristic
113#13093946C2×C411yescharacteristic
114#13093945C2×C411yescharacteristic
115#13093945C2×C411yescharacteristic
116#13093944C2×C411yescharacteristic
117#13093944C2×C411yescharacteristic
118C22⋊(C47⋊C8)—21no—
119C22⋊(C47⋊C8)—21no—
120(C2×D47)⋊C8—21no—
121(C2×D47)⋊C8—21no—
122(C2×D47)⋊C8—21no—
123(C2×D47)⋊C8—21no—
124C4×C47⋊C8C2311yescharacteristic
125C4×C47⋊C8C2311yescharacteristic
126C4×C47⋊C8C2311yescharacteristic
127C8×Dic47—21no—
128C8×Dic47C2×C411yescharacteristic
129C8×Dic47C2×C411yescharacteristic
130C8×Dic47D411yescharacteristic
131C8×Dic47D411yescharacteristic
132C2×D8×C47C2×C411yescharacteristic
133C2×M16×C47—21no—
134C22×C8×C47—21no—
135C4×D4×C47C2311yescharacteristic
136C4×D4×C47C2311yescharacteristic
137#107×C47C2×C411yescharacteristic
138C4⋊C8×C47C2311yescharacteristic
139C4⋊C8×C47C2311yescharacteristic
140#102×C47C2×C411yescharacteristic
141#102×C47C2×C411yescharacteristic
142C22⋊C8×C47—21no—
143C22⋊C8×C47—21no—
144C4×C8×C47C2311yescharacteristic
145C4×C8×C47C2311yescharacteristic
146C4×C8×C47C2311yescharacteristic
147C23×D47—21no—
148C23×D47—21no—
149C2×D4×C47C22×C411yescharacteristic
150C2×D4×C47C22×C411yescharacteristic
151C22×C4×C47—21no—
152C22×C4×C47—21no—
153C2×C22⋊D47—21no—
154C2×C22⋊D47—21no—
155C22×Dic47—21no—
156C22×Dic47—21no—
157D4×D47—22no—
158D4×D47—22no—
159D4×D47—22no—
160D4×D47M1614yescomplemented
161C2×D188C22×C411yescharacteristic
162C2×D188C22×C411yescharacteristic
163C2×C4×D47—21no—
164C2×C4×D47—21no—
165C2×C4×D47—21no—
166C2×C4×D47—21no—
167C2×C4×D47—21no—
168C2×C4×D47—21no—
169C2×C4×D47—42no—
170C2×C4×D47—42no—
171C2×C4×D47—42no—
172C2×C4×D47—42no—
173C2×C4×D47C22×C411yescharacteristic
174C2×C4×D47C2×D411yescharacteristic
175C2×C4×D47#4111yescharacteristic
176D8×C47—22no—
177M16×C47—42no—
178C2×C8×C47—21no—
179C2×C8×C47—21no—
180C2×C8×C47—21no—
181C2×C8×C47—42no—
182C2×C8×C47C22×C411yescharacteristic
183C2×C8×C47C22×C411yescharacteristic
184C2×C8×C47C2×D411yescharacteristic
185C2×C8×C47C2×D411yescharacteristic
186C4⋊C4×C47C22×C411yescharacteristic
187C4⋊C4×C47C22×C411yescharacteristic
188C22⋊C4×C47—21no—
189C22⋊C4×C47—21no—
190C42×C47C2411yescharacteristic
191C22⋊Dic47—21no—
192C22⋊Dic47—21no—
193#10625334—22no—
194#10625334—22no—
195(C2×D47)⋊C4—21no—
196(C2×D47)⋊C4—21no—
197(C2×D47)⋊C4—21no—
198(C2×D47)⋊C4—21no—
199C4⋊Dic47C22×C411yescharacteristic
200C4⋊Dic47C22×C411yescharacteristic
201Dic47⋊C4—21no—
202Dic47⋊C4—21no—
203C4×Dic47C22×C411yescharacteristic
204C4×Dic47C2×D411yescharacteristic
205C4×Dic47#4111yescharacteristic
206#10625329—42no—
207C2×C47⋊C8—21no—
208C2×C47⋊C8—21no—
209C2×C47⋊C8—21no—
210C2×C47⋊C8—42no—
211C2×C47⋊C8C22×C411yescharacteristic
212C2×C47⋊C8C22×C411yescharacteristic
213C2×C47⋊C8C2×D411yescharacteristic
214C2×C47⋊C8C2×D411yescharacteristic
215D376—22no—
216#10625324—42no—
217#10625324—42no—
218C8×D47—24no—
219C8×D47—22no—
220C8×D47—22no—
221C8×D47—22no—
222C8×D47—22no—
223C8×D47—42no—
224C8×D47—42no—
225C8×D47—42no—
226C8×D47—42no—
227C23×C47—21no—
228C23×C47—21no—
229C22×D47—21no—
230C22×D47—24no—
231C22×D47—21no—
232C22×D47—42no—
233C22×D47—42no—
234C22×D47—42no—
235C22×D47—42no—
236C22×D47—42no—
237C22×D47C4×D411yescharacteristic
238D4×C47—21no—
239D4×C47—21no—
240D4×C47—21no—
241D4×C47C2×M1612yescomplemented
242C2×C4×C47—21no—
243C2×C4×C47—21no—
244C2×C4×C47—41no—
245C2×C4×C47—41no—
246C2×C4×C47—41no—
247C2×C4×C47—41no—
248C2×C4×C47C23×C411yescharacteristic
249C2×C4×C47C22×D411yescharacteristic
250C2×C4×C47C2×#4111yescharacteristic
251C22⋊D47—24no—
252C22⋊D47—42no—
253C2×Dic47—21no—
254C2×Dic47—21no—
255C2×Dic47—42no—
256C2×Dic47—42no—
257C2×Dic47C4×D411yescharacteristic
258C2×Dic47C4×D411yescharacteristic
259C2×Dic47C4×D411yescharacteristic
260D188—21no—
261D188—21no—
262D188—21no—
263D188C2×M1612yescomplemented
264C4×D47—22no—
265C4×D47—42no—
266C4×D47—42no—
267C4×D47—41no—
268C4×D47—41no—
269C4×D47—41no—
270C4×D47—41no—
271C4×D47—42no—
272C4×D47—42no—
273C4×D47C2×M1612yes—
274C4×D47#13112yes—
275C4×D47AGL(1,ℤ/8)12yes—
276C4×D47AGL(1,ℤ/8)12yes—
277C8×C47—22no—
278C8×C47—21no—
279C8×C47—21no—
280C8×C47—21no—
281C8×C47—21no—
282C8×C47—41no—
283C8×C47—41no—
284C47⋊C8—22no—
285C47⋊C8—21no—
286C47⋊C8—21no—
287C47⋊C8—21no—
288C47⋊C8—21no—
289C47⋊C8—41no—
290C47⋊C8—41no—
291C2×#1586—471nomaximal, Sylow
292C22×C47—22no—
293C22×C47—41no—
294C22×C47—41no—
295C22×C47—41no—
296C22×C47—41no—
297C22×C47—41no—
298C22×C47C2×C4×D411yescharacteristic
299C2×D47—22no—
300C2×D47—41no—
301C2×D47—41no—
302C2×D47—48no—
303C2×D47—41no—
304C2×D47—41no—
305C2×D47—41no—
306C2×D47—84no—
307C2×D47#43512yes—
308C2×D47#44212yes—
309C2×D47#44312yes—
310C4×C47—21no—
311C4×C47—41no—
312C4×C47—41no—
313C4×C47C22×M1611yescharacteristic
314C4×C47C2×#13111yescharacteristic
315C4×C47C2×AGL(1,ℤ/8)11yescharacteristic
316C4×C47C2×AGL(1,ℤ/8)11yescharacteristic
317Dic47—21no—
318Dic47—41no—
319Dic47—41no—
320Dic47#43512yes—
321Dic47#44212yes—
322C2×C4×D8—471no—
323C2×#436—471no—
324C2×C8×D4—471no—
325#1586—471no—
326#1586—471no—
327#1586—471no—
328#1586—471no—
329#1586—471no—
330#1586—471no—
331#1586—471no—
332#1586D4711yescharacteristic, direct product factor
333C2×#334—471no—
334C2×D4⋊C8—471no—
335C2×D4⋊C8—471no—
336C2×#322—471no—
337C2×C47—42no—
338C2×C47—81no—
339C2×C47C2×#43511yescharacteristic
340C2×C47C2×#44211yescharacteristic
341C2×C47C2×#44311yescharacteristic
342D47—42no—
343D47—81no—
344D47#158614yesdirect product factor
345C22×D8—471no—
346C22×M16—941no—
347C23×C8—941no—
348C2×C4×D4—471no—
349C2×C4×D4—471no—
350C4×D8—471no—
351C4×D8—471no—
352C4×D8—471no—
353C4×D8—471no—
354C4×D8—471no—
355C4×D8—471no—
356C4×D8—471no—
357C4×D8C2×D4711yescharacteristic
358#436—471no—
359#436—471no—
360#436—471no—
361#436—941no—
362#436—941no—
363#436C2×D4711yescharacteristic, complemented
364C8×D4—471no—
365C8×D4—471no—
366C8×D4—471no—
367C8×D4—941no—
368C8×D4—941no—
369C8×D4C2×D4711yescharacteristic, complemented
370C2×#107—471no—
371C2×C4⋊C8—471no—
372C2×C4⋊C8—471no—
373C2×#102—471no—
374C2×#102—471no—
375C2×C22⋊C8—941no—
376C2×C22⋊C8—941no—
377C2×C4×C8—471no—
378C2×C4×C8—471no—
379C2×C4×C8—471no—
380#334—471no—
381#334—471no—
382#334—471no—
383#334C2×D4711yescharacteristic, complemented
384D4⋊C8—471no—
385D4⋊C8—471no—
386D4⋊C8—471no—
387D4⋊C8—471no—
388D4⋊C8—471no—
389D4⋊C8—471no—
390D4⋊C8C2×D4711yescharacteristic, complemented
391D4⋊C8C2×D4711yescharacteristic, complemented
392#322—471no—
393#322—471no—
394#322—471no—
395#322C2×D4711yescharacteristic, complemented
396C47C2×#158611yescharacteristic, complemented, Sylow
397C22×D4—471no—
398C22×D4—471no—
399C23×C4—941no—
400C23×C4—941no—
401C2×D8—471no—
402C2×D8—471no—
403C2×D8—471no—
404C2×D8—944no—
405C2×D8C4×D4711yescharacteristic
406C2×M16—21no—
407C2×M16—941no—
408C2×M16—941no—
409C2×M16—941no—
410C2×M16—1884no—
411C22×C8—21no—
412C22×C8—471no—
413C22×C8—471no—
414C22×C8—471no—
415C22×C8—471no—
416C22×C8—941no—
417C22×C8—941no—
418C22×C8—941no—
419C22×C8—941no—
420C22×C8—941no—
421C22×C8—941no—
422C22×C8—1884no—
423C4×D4—471no—
424C4×D4—471no—
425C4×D4—471no—
426C4×D4—471no—
427C4×D4—471no—
428C4×D4—471no—
429C4×D4—941no—
430C4×D4—941no—
431C4×D4—941no—
432C4×D4—941no—
433C4×D4C22×D4711yescharacteristic
434C4×D4C22×D4711yescharacteristic
435C2×C4⋊C4—471no—
436C2×C4⋊C4—471no—
437C2×C22⋊C4—941no—
438C2×C22⋊C4—941no—
439C2×C42—471no—
440#107—471no—
441#107—471no—
442#107—471no—
443#107C4×D4711yescharacteristic
444C4⋊C8—471no—
445C4⋊C8—471no—
446C4⋊C8—941no—
447C4⋊C8—941no—
448C4⋊C8C22×D4711yescharacteristic
449C4⋊C8C22×D4711yescharacteristic
450#102—471no—
451#102—471no—
452#102—471no—
453#102—471no—
454#102—471no—
455#102—471no—
456#102C4×D4711yescharacteristic
457#102C4×D4711yescharacteristic
458C22⋊C8—21no—
459C22⋊C8—21no—
460C22⋊C8—941no—
461C22⋊C8—941no—
462C22⋊C8—941no—
463C22⋊C8—941no—
464C22⋊C8—941no—
465C22⋊C8—941no—
466C4×C8—471no—
467C4×C8—471no—
468C4×C8—471no—
469C4×C8—471no—
470C4×C8—471no—
471C4×C8—471no—
472C4×C8—471no—
473C4×C8—941no—
474C4×C8C22×D4711yescharacteristic
475C4×C8C22×D4711yescharacteristic
476C4×C8C22×D4711yescharacteristic
477C24—941no—
478C24—941no—
479C2×D4—474no—
480C2×D4—471no—
481C2×D4—471no—
482C2×D4—942no—
483C2×D4—942no—
484C2×D4—942no—
485C2×D4—941no—
486C2×D4—941no—
487C2×D4C2×C4×D4711yescharacteristic
488C2×D4C2×C4×D4711yescharacteristic
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—471no—
492C22×C4—471no—
493C22×C4—471no—
494C22×C4—941no—
495C22×C4—941no—
496C22×C4—941no—
497C22×C4—941no—
498C22×C4—941no—
499C22×C4—941no—
500C22×C4—941no—
501C22×C4—941no—
502C22×C4—1882no—
503C22×C4—1882no—
504C22×C4—1882no—
505C22×C4—1882no—
506D8—22no—
507D8—942no—
508D8—942no—
509D8—942no—
510M16—42no—
511M16—1882no—
512M16—1882no—
513M16—1882no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—42no—
518C2×C8—471no—
519C2×C8—471no—
520C2×C8—471no—
521C2×C8—471no—
522C2×C8—942no—
523C2×C8—942no—
524C2×C8—942no—
525C2×C8—942no—
526C2×C8—944no—
527C2×C8—941no—
528C2×C8—941no—
529C2×C8—941no—
530C2×C8—1882no—
531C2×C8—1882no—
532C2×C8—1882no—
533C2×C8—1882no—
534C2×C8—1882no—
535C2×C8C2×C4×D4711yescharacteristic
536C2×C8C2×C4×D4711yescharacteristic
537C2×C8D4×D4711yescharacteristic
538C2×C8D4×D4711yescharacteristic
539C4⋊C4—471no—
540C4⋊C4—471no—
541C4⋊C4—941no—
542C4⋊C4—941no—
543C4⋊C4C2×C4×D4711yescharacteristic
544C4⋊C4C2×C4×D4711yescharacteristic
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—941no—
548C22⋊C4—941no—
549C22⋊C4—941no—
550C22⋊C4—941no—
551C22⋊C4—941no—
552C22⋊C4—941no—
553C42—471no—
554C42—471no—
555C42—471no—
556C42C23×D4711yescharacteristic
557C23—21no—
558C23—21no—
559C23—471no—
560C23—944no—
561C23—941no—
562C23—941no—
563C23—1882no—
564C23—1882no—
565C23—1882no—
566C23—1882no—
567C23—1882no—
568D4—21no—
569D4—21no—
570D4—21no—
571D4—472no—
572D4—944no—
573D4—941no—
574D4—941no—
575D4—941no—
576D4—1882no—
577D4M16×D4712yescomplemented
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—471no—
585C2×C4—471no—
586C2×C4—472no—
587C2×C4—472no—
588C2×C4—472no—
589C2×C4—472no—
590C2×C4—471no—
591C2×C4—942no—
592C2×C4—941no—
593C2×C4—941no—
594C2×C4—1882no—
595C2×C4—1882no—
596C2×C4—1882no—
597C2×C4—1882no—
598C2×C4—1882no—
599C2×C4—1882no—
600C2×C4—1881no—
601C2×C4—1881no—
602C2×C4—1881no—
603C2×C4—1881no—
604C2×C4C22×C4×D4711yescharacteristic
605C2×C4C2×D4×D4711yescharacteristic
606C2×C4#41×D4711yescharacteristic
607C8—22no—
608C8—21no—
609C8—21no—
610C8—21no—
611C8—21no—
612C8—41no—
613C8—41no—
614C8—942no—
615C8—941no—
616C8—941no—
617C8—941no—
618C8—941no—
619C8—1881no—
620C8—1881no—
621C22—22no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—472no—
628C22—472no—
629C22—472no—
630C22—942no—
631C22—3764no—
632C22—1888no—
633C22—1881no—
634C22—1881no—
635C22—1881no—
636C22—1881no—
637C22—1881no—
638C22C4×D4×D4711yescharacteristic
639C4—21no—
640C4—41no—
641C4—41no—
642C4—472no—
643C4—472no—
644C4—941no—
645C4—1881no—
646C4—1881no—
647C4C2×M16×D4711yescharacteristic
648C4#131×D4711yescharacteristic
649C4AGL(1,ℤ/8)×D4711yescharacteristic
650C4AGL(1,ℤ/8)×D4711yescharacteristic
651C2—42no—
652C2—81no—
653C2—474no—
654C2—3761no—
655C2—1882no—
656C2#435×D4711yescharacteristic
657C2#442×D4711yescharacteristic
658C2#443×D4711yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC42C23×D47
FittingC47×#1586C2
socleC22×C47C2×C4×D4
prime radicalC2×D8×D47C4
cosocleC42×C47C24
hypercenter#1586D47
hypocenterC47C2×#1586
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C4×C8 ◁ #1586

Complements

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

NH ≅ G/Ntype
2. #436×D47C2semidirect
3. C8×D4×D47C2semidirect
4. #20242255C2semidirect
5. #20242254C2semidirect
6. #20242253C2semidirect
7. #20242252C2semidirect
8. #20242251C2semidirect
9. #20242250C2semidirect
10. #20242249C2semidirect
11. #334×D47C2semidirect
12. D4⋊C8×D47C2semidirect
13. D4⋊C8×D47C2semidirect
14. #322×D47C2semidirect
15. C47×#1586C2semidirect
28. #15689202C22semidirect
29. #15689201C22semidirect
30. #15689200C22semidirect
33. C8×D188C22semidirect
34. D4×C47⋊C8C22semidirect
35. #15689188C22semidirect
48. #15688874C22semidirect
49. #15688873C22semidirect
50. #15688873C22semidirect
51. #15688852C22semidirect
52. #15688852C22semidirect
53. D4⋊(C47⋊C8)C22semidirect
54. D4⋊(C47⋊C8)C22semidirect
55. #15688850C22semidirect
56. #15688850C22semidirect
57. #15688845C22semidirect
58. #15688845C22semidirect
59. #15688844C22semidirect
61. C47×#436C22semidirect
62. C8×D4×C47C22semidirect
63. C47×#334C22semidirect
64. C47×D4⋊C8C22semidirect
65. C47×D4⋊C8C22semidirect
66. C47×#322C22semidirect
160. D4×D47M16semidirect
241. D4×C47C2×M16semidirect
263. D188C2×M16semidirect
332. #1586D47direct (N × H)
344. D47#1586direct (N × H)
363. #436C2×D47semidirect
369. C8×D4C2×D47semidirect
383. #334C2×D47semidirect
390. D4⋊C8C2×D47semidirect
391. D4⋊C8C2×D47semidirect
395. #322C2×D47semidirect
396. C47C2×#1586semidirect
577. D4M16×D47semidirect

Maximal subgroups

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

subgroupindex
C4×D8×D472
#436×D472
C8×D4×D472
#202422552
#202422542
#202422532
#202422522
#202422512
#202422502
#202422492
#334×D472
D4⋊C8×D472
#322×D472
C47×#15862
C2×#158647