Finite Group Databasebeta

← D47×#1581 #26185770

Subgroups — D47×#1581 #26185770

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#20242220C211yesmaximal, characteristic, complemented
5#20242219C211yesmaximal, characteristic, complemented
6#20242218C211yesmaximal, characteristic, complemented
7#20242217C211yesmaximal, characteristic, complemented
8#20242216C211yesmaximal, characteristic, complemented
9#20242215C211yesmaximal, characteristic, complemented
10#20242214C211yesmaximal, characteristic, complemented
11#335×D47C211yesmaximal, characteristic, complemented
12D4⋊C8×D47C211yesmaximal, characteristic, complemented
13D4⋊C8×D47C211yesmaximal, characteristic, complemented
14#322×D47C211yesmaximal, characteristic, complemented
15C47×#1581C211yesmaximal, 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#15688876C2211yescharacteristic, complemented
49#15688875C2211yescharacteristic, complemented
50#15688875C2211yescharacteristic, 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×#335C2211yescharacteristic, 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—22no—
219C8×D47—22no—
220C8×D47—22no—
221C8×D47—42no—
222C8×D47—42no—
223C8×D47—42no—
224C8×D47—42no—
225C8×D47—42no—
226C8×D47D814yescomplemented
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×D47C2×D812yes—
276C4×D47#13512yes—
277C8×C47—21no—
278C8×C47—21no—
279C8×C47—21no—
280C8×C47—41no—
281C8×C47—41no—
282C8×C47—41no—
283C8×C47C2×D812yescomplemented
284C47⋊C8—21no—
285C47⋊C8—21no—
286C47⋊C8—21no—
287C47⋊C8—41no—
288C47⋊C8—41no—
289C47⋊C8—41no—
290C47⋊C8C2×D812yescomplemented
291C2×#1581—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×D47C4×D812yes—
309C2×D47#44412yes—
310C4×C47—21no—
311C4×C47—41no—
312C4×C47—41no—
313C4×C47C22×M1611yescharacteristic
314C4×C47C2×#13111yescharacteristic
315C4×C47C22×D811yescharacteristic
316C4×C47C2×#13511yescharacteristic
317Dic47—21no—
318Dic47—41no—
319Dic47—41no—
320Dic47#43512yes—
321Dic47C4×D812yes—
322C2×C4×D8—471no—
323C2×#436—471no—
324C2×C8×D4—471no—
325#1581—471no—
326#1581—471no—
327#1581—471no—
328#1581—471no—
329#1581—471no—
330#1581—471no—
331#1581—471no—
332#1581D4711yescharacteristic, direct product factor
333C2×#335—471no—
334C2×D4⋊C8—471no—
335C2×D4⋊C8—471no—
336C2×#322—471no—
337C2×C47—42no—
338C2×C47—81no—
339C2×C47C2×#43511yescharacteristic
340C2×C47C2×C4×D811yescharacteristic
341C2×C47C2×#44411yescharacteristic
342D47—42no—
343D47—81no—
344D47#158114yesdirect 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#335—471no—
381#335—471no—
382#335—471no—
383#335C2×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×#158111yescharacteristic, 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—474no—
520C2×C8—471no—
521C2×C8—471no—
522C2×C8—471no—
523C2×C8—942no—
524C2×C8—942no—
525C2×C8—942no—
526C2×C8—941no—
527C2×C8—941no—
528C2×C8—941no—
529C2×C8—1882no—
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—21no—
608C8—21no—
609C8—21no—
610C8—41no—
611C8—41no—
612C8—41no—
613C8—472no—
614C8—941no—
615C8—941no—
616C8—941no—
617C8—1881no—
618C8—1881no—
619C8—1881no—
620C8D8×D4712yescomplemented
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
649C4C2×D8×D4711yescharacteristic
650C4#135×D4711yescharacteristic
651C2—42no—
652C2—81no—
653C2—474no—
654C2—3761no—
655C2—1882no—
656C2#435×D4711yescharacteristic
657C2C4×D8×D4711yescharacteristic
658C2#444×D4711yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC42C23×D47
FittingC47×#1581C2
socleC22×C47C2×C4×D4
prime radicalC2×D8×D47C4
cosocleC42×C47C24
hypercenter#1581D47
hypocenterC47C2×#1581
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C4×C8 ◁ #1581

Complements

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

NH ≅ G/Ntype
2. #436×D47C2semidirect
3. C8×D4×D47C2semidirect
4. #20242220C2semidirect
5. #20242219C2semidirect
6. #20242218C2semidirect
7. #20242217C2semidirect
8. #20242216C2semidirect
9. #20242215C2semidirect
10. #20242214C2semidirect
11. #335×D47C2semidirect
12. D4⋊C8×D47C2semidirect
13. D4⋊C8×D47C2semidirect
14. #322×D47C2semidirect
15. C47×#1581C2semidirect
28. #15689202C22semidirect
29. #15689201C22semidirect
30. #15689200C22semidirect
33. C8×D188C22semidirect
34. D4×C47⋊C8C22semidirect
35. #15689188C22semidirect
48. #15688876C22semidirect
49. #15688875C22semidirect
50. #15688875C22semidirect
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×#335C22semidirect
64. C47×D4⋊C8C22semidirect
65. C47×D4⋊C8C22semidirect
66. C47×#322C22semidirect
160. D4×D47M16semidirect
226. C8×D47D8semidirect
241. D4×C47C2×M16semidirect
263. D188C2×M16semidirect
283. C8×C47C2×D8semidirect
290. C47⋊C8C2×D8semidirect
332. #1581D47direct (N × H)
344. D47#1581direct (N × H)
363. #436C2×D47semidirect
369. C8×D4C2×D47semidirect
383. #335C2×D47semidirect
390. D4⋊C8C2×D47semidirect
391. D4⋊C8C2×D47semidirect
395. #322C2×D47semidirect
396. C47C2×#1581semidirect
577. D4M16×D47semidirect
620. C8D8×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
#202422202
#202422192
#202422182
#202422172
#202422162
#202422152
#202422142
#335×D472
D4⋊C8×D472
#322×D472
C47×#15812
C2×#158147