Finite Group Databasebeta

← D47×#1986 #26220757

Subgroups — D47×#1986 #26220757

Order 12032.

1290 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#533×D47C211yesmaximal, characteristic
2C4×M16×D47C211yesmaximal, characteristic
3C4×C4⋊C4×D47C211yesmaximal, characteristic
4#20244333C211yesmaximal, characteristic, complemented
5#20244332C211yesmaximal, characteristic, complemented
6#20244331C211yesmaximal, characteristic, complemented
7#20244330C214yesmaximal, complemented
8#339×D47C214yesmaximal
9C47×#1986C211yesmaximal, characteristic, complemented
10C2×M16×D47C2212yes—
11#15689680C2211yescharacteristic
12#15689679C412yescomplemented
13#15689678C411yescharacteristic, complemented
14#15689678C411yescharacteristic, complemented
15#15689677—21no—
16#15689677—21no—
17#15689676C2212yes—
18#15689675—21no—
19#15689675—21no—
20C4⋊Q8×D47C411yescharacteristic, complemented
21C4⋊Q8×D47C411yescharacteristic, complemented
22#125×D47C412yescomplemented
23C22⋊Q8×D47—21no—
24C22⋊Q8×D47—21no—
25C4×Q8×D47—21no—
26C4×Q8×D47—21no—
27#117×D47C2212yes—
28C2×C4⋊C4×D47—21no—
29C2×C42×D47C2212yes—
30C2×C42×D47C2211yescharacteristic
31C4×#10625329C2211yescharacteristic
32#15689075—21no—
33M16×Dic47C2212yes—
34C4×#10625324—21no—
35#97×D47—21no—
36C4×C8×D47—21no—
37C4⋊C4×Dic47—21no—
38C4×Dic47⋊C4C2212yes—
39C4×C4⋊Dic47C2211yescharacteristic
40#15688974—21no—
41#95×D47—21no—
42#15688884C2214yes—
43#15688883C2214yes—
44#15688882C2214yes—
45C47×#533C2211yescharacteristic
46C4×M16×C47C2211yescharacteristic
47C4×C4⋊C4×C47C2211yescharacteristic
48C47×#339C2214yes—
49C2×Q8×D47—21no—
50C2×Q8×D47—21no—
51C22×C4×D47—22no—
52C22×C4×D47D411yescharacteristic
53C22×C4×D47D411yescharacteristic
54C22×C4×D47C2311yescharacteristic
55C2×#10625329C2312yes—
56C2×#10625324—22no—
57M16×D47—24no—
58M16×D47Q818yescomplemented
59C2×C8×D47—22no—
60#13094024C2×C411yescharacteristic, complemented
61#13094024C2×C411yescharacteristic, complemented
62#13094023—21no—
63#13094023—21no—
64#13094023C2×C412yescomplemented
65#13094023C2×C412yescomplemented
66#13094022—21no—
67#13094022—21no—
68#13094016C2×C412yescomplemented
69#13094015C2×C412yescomplemented
70#13094015C2×C412yescomplemented
71#13094014—22no—
72#13094014—22no—
73#13094004—21no—
74#13094004—21no—
75#13094003—21no—
76#13094003—21no—
77#13094002—22no—
78#13094002—22no—
79#13094001—22no—
80#13094001—22no—
81#13094000—21no—
82#13094000—21no—
83Q8×Dic47—21no—
84Q8×Dic47—21no—
85C4×Dic94—21no—
86C4×Dic94—21no—
87C4×Dic94—22no—
88C4×Dic94—22no—
89#13093989—21no—
90#13093989—21no—
91#13093989—22no—
92#13093989—22no—
93#13093983C2312yes—
94#13093982C2×C412yes—
95#13093982C2×C412yes—
96#13093981—22no—
97#13093980—22no—
98C2×C4⋊Dic47—21no—
99C2×Dic47⋊C4—22no—
100C4⋊C4×D47—28no—
101C4⋊C4×D47—22no—
102C4⋊C4×D47—22no—
103C4⋊C4×D47—21no—
104C4⋊C4×D47—21no—
105C4⋊C4×D47C2×C412yes—
106C4⋊C4×D47C2×C412yes—
107C22⋊C4×D47—22no—
108C2×C4×Dic47—22no—
109C2×C4×Dic47D411yescharacteristic
110C2×C4×Dic47D411yescharacteristic
111C2×C4×Dic47C2312yes—
112C2×C4×Dic47C2311yescharacteristic
113C42×D47—22no—
114C42×D47—28no—
115C42×D47C2×C411yescharacteristic
116C42×D47C2×C411yescharacteristic
117C42×D47C2×C411yescharacteristic
118C42×D47C2×C411yescharacteristic
119C42×D47D411yescharacteristic
120C42×D47D411yescharacteristic
121C42×D47D411yescharacteristic
122C42×D47D411yescharacteristic
123#13093935—21no—
124#13093934—22no—
125C4×C47⋊C8—21no—
126C8×Dic47—22no—
127C47⋊#95—21no—
128C47⋊#95—22no—
129C2×M16×C47C2312yes—
130C4⋊Q8×C47C2×C411yescharacteristic, complemented
131C4⋊Q8×C47C2×C411yescharacteristic, complemented
132#125×C47C2×C412yescomplemented
133C22⋊Q8×C47—21no—
134C22⋊Q8×C47—21no—
135C4×Q8×C47—21no—
136C4×Q8×C47—21no—
137#117×C47C2312yes—
138C2×C4⋊C4×C47—21no—
139C2×C42×C47C2312yes—
140C2×C42×C47C2311yescharacteristic
141#97×C47—21no—
142C4×C8×C47—21no—
143#95×C47—21no—
144C23×D47C2×D411yescharacteristic
145C2×Q8×C47—21no—
146C2×Q8×C47—21no—
147C22×C4×C47—22no—
148C22×C4×C47C2×D411yescharacteristic
149C22×C4×C47C2×D411yescharacteristic
150C22×C4×C47C2411yescharacteristic
151C22×Dic47—22no—
152C22×Dic47C2×D411yescharacteristic
153C22×Dic47C2×D411yescharacteristic
154C22×Dic47C2×D411yescharacteristic
155Q8×D47—44no—
156Q8×D47—44no—
157C2×C4×D47—24no—
158C2×C4×D47—28no—
159C2×C4×D47—22no—
160C2×C4×D47—22no—
161C2×C4×D47—42no—
162C2×C4×D47—44no—
163C2×C4×D47—44no—
164C2×C4×D47C22⋊C411yescharacteristic
165C2×C4×D47C22⋊C411yescharacteristic
166C2×C4×D47C22⋊C411yescharacteristic
167C2×C4×D47C22⋊C411yescharacteristic
168C2×C4×D47C22⋊C411yescharacteristic
169C2×C4×D47C22⋊C411yescharacteristic
170C2×C4×D47C22⋊C411yescharacteristic
171C2×C4×D47C22⋊C411yescharacteristic
172C2×C4×D47C22×C411yescharacteristic
173C2×C4×D47C22×C411yescharacteristic
174C2×C4×D47C2×D411yescharacteristic
175C2×C4×D47C2×D411yescharacteristic
176C2×C4×D47C2×Q814yes—
177C2×C4×D47#4114yes—
178C2×Dic94—21no—
179C2×Dic94—21no—
180C2×Dic94—22no—
181C2×Dic94—22no—
182M16×C47—22no—
183M16×C47C2×Q814yescomplemented
184C2×C8×C47—22no—
185C4⋊C4×C47—24no—
186C4⋊C4×C47—22no—
187C4⋊C4×C47—22no—
188C4⋊C4×C47—21no—
189C4⋊C4×C47—21no—
190C4⋊C4×C47C22×C412yes—
191C4⋊C4×C47C22×C412yes—
192C22⋊C4×C47—22no—
193C42×C47—22no—
194C42×C47—24no—
195C42×C47C22×C411yescharacteristic
196C42×C47C22×C411yescharacteristic
197C42×C47C2×D411yescharacteristic
198C42×C47C2×D411yescharacteristic
199C22⋊Dic47—22no—
200(C2×D47)⋊C4—22no—
201(C2×D47)⋊C4—22no—
202C4⋊Dic47—24no—
203C4⋊Dic47—21no—
204C4⋊Dic47—21no—
205C4⋊Dic47—22no—
206C4⋊Dic47—22no—
207C4⋊Dic47C22×C412yes—
208C4⋊Dic47C22×C412yes—
209Dic47⋊C4—28no—
210Dic47⋊C4—22no—
211Dic47⋊C4—22no—
212Dic47⋊C4—22no—
213Dic47⋊C4—22no—
214Dic47⋊C4—22no—
215Dic47⋊C4—22no—
216Dic47⋊C4—22no—
217Dic47⋊C4—22no—
218C4×Dic47—22no—
219C4×Dic47—22no—
220C4×Dic47—22no—
221C4×Dic47—24no—
222C4×Dic47—44no—
223C4×Dic47C22⋊C411yescharacteristic
224C4×Dic47C22⋊C411yescharacteristic
225C4×Dic47C22⋊C411yescharacteristic
226C4×Dic47C22⋊C411yescharacteristic
227C4×Dic47C22⋊C411yescharacteristic
228C4×Dic47C22⋊C411yescharacteristic
229C4×Dic47C22⋊C411yescharacteristic
230C4×Dic47C22⋊C411yescharacteristic
231C4×Dic47C22×C411yescharacteristic
232C4×Dic47C22×C411yescharacteristic
233C4×Dic47C2×D411yescharacteristic
234C4×Dic47C2×D411yescharacteristic
235#10625329—22no—
236#10625329C2×Q814yescomplemented
237C2×C47⋊C8—22no—
238#10625324—28no—
239C8×D47—28no—
240C23×C47C22×D411yescharacteristic
241C22×D47—22no—
242C22×D47—22no—
243C22×D47C2×C22⋊C411yescharacteristic
244C22×D47C2×C22⋊C411yescharacteristic
245C22×D47#12412yes—
246C22×D47C4⋊Q812yes—
247Q8×C47—42no—
248Q8×C47—42no—
249C2×C4×C47—22no—
250C2×C4×C47—24no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—41no—
254C2×C4×C47—42no—
255C2×C4×C47—42no—
256C2×C4×C47C2×C22⋊C411yescharacteristic
257C2×C4×C47C2×C22⋊C411yescharacteristic
258C2×C4×C47C2×C22⋊C411yescharacteristic
259C2×C4×C47C2×C22⋊C411yescharacteristic
260C2×C4×C47C23×C411yescharacteristic
261C2×C4×C47C22×D411yescharacteristic
262C2×C4×C47C22×Q812yes—
263C2×C4×C47C2×#4112yes—
264C2×Dic47—22no—
265C2×Dic47—24no—
266C2×Dic47—22no—
267C2×Dic47—22no—
268C2×Dic47—41no—
269C2×Dic47—42no—
270C2×Dic47—42no—
271C2×Dic47C2×C22⋊C411yescharacteristic
272C2×Dic47C2×C22⋊C411yescharacteristic
273C2×Dic47C2×C22⋊C411yescharacteristic
274C2×Dic47C2×C22⋊C411yescharacteristic
275C2×Dic47C2×C22⋊C411yescharacteristic
276C2×Dic47C2×C22⋊C411yescharacteristic
277C2×Dic47#12412yes—
278C2×Dic47C4⋊Q812yes—
279C4×D47—22no—
280C4×D47—22no—
281C4×D47—22no—
282C4×D47—22no—
283C4×D47—22no—
284C4×D47—41no—
285C4×D47—41no—
286C4×D47—416no—
287C4×D47—44no—
288C4×D47—44no—
289C4×D47#10414yes—
290C4×D47C4×Q814yes—
291C4×D47C4×Q814yes—
292C4×D47C22⋊Q814yes—
293C4×D47C22⋊Q814yes—
294Dic94—44no—
295Dic94—42no—
296Dic94—42no—
297Dic94—44no—
298C8×C47—24no—
299C47⋊C8—24no—
300C2×#1986—471nomaximal, Sylow
301C22×C47—21no—
302C22×C47—21no—
303C22×C47C22×C22⋊C411yescharacteristic
304C22×C47C2×#12411yescharacteristic
305C22×C47C2×C4⋊Q811yescharacteristic
306C2×D47—21no—
307C2×D47—21no—
308C2×D47—24no—
309C2×D47—24no—
310C2×D47#39112yes—
311C2×D47#39112yes—
312C2×D47C2×#10412yes—
313C2×D47#42112yes—
314C4×C47—21no—
315C4×C47—21no—
316C4×C47—21no—
317C4×C47—44no—
318C4×C47—42no—
319C4×C47—42no—
320C4×C47C2×#10412yes—
321C4×C47C2×C4×Q812yes—
322C4×C47C2×C22⋊Q812yes—
323Dic47—21no—
324Dic47—21no—
325Dic47—21no—
326Dic47—44no—
327Dic47—42no—
328Dic47—42no—
329Dic47#39112yes—
330Dic47#39112yes—
331Dic47C2×#10412yes—
332C2×#533—471no—
333C2×C4×M16—471no—
334C2×C4×C4⋊C4—471no—
335#1986—471no—
336#1986—471no—
337#1986—474no—
338#1986—471no—
339#1986D4711yescharacteristic, direct product factor
340C2×#339—474no—
341C2×C47—21no—
342C2×C47—21no—
343C2×C47C2×#39111yescharacteristic
344C2×C47C22×#10411yescharacteristic
345C2×C47C2×#42111yescharacteristic
346D47—22no—
347D47#198614yesdirect product factor
348C22×M16—472no—
349#533—471no—
350#533—471no—
351#533—472no—
352#533—472no—
353#533—471no—
354#533—941no—
355#533—941no—
356#533—941no—
357#533—941no—
358#533C2×D4711yescharacteristic
359C2×C4⋊Q8—471no—
360C2×C4⋊Q8—471no—
361C2×#125—472no—
362C2×C22⋊Q8—941no—
363C2×C22⋊Q8—941no—
364C2×C4×Q8—941no—
365C2×C4×Q8—941no—
366C2×#117—472no—
367C22×C4⋊C4—941no—
368C22×C42—471no—
369C22×C42—472no—
370C4×M16—472no—
371C4×M16—471no—
372C4×M16—941no—
373C4×M16—941no—
374C4×M16C2×D4711yescharacteristic
375C2×#97—941no—
376C2×C4×C8—941no—
377C4×C4⋊C4—472no—
378C4×C4⋊C4—471no—
379C4×C4⋊C4—941no—
380C4×C4⋊C4—941no—
381C4×C4⋊C4C2×D4711yescharacteristic
382C2×#95—941no—
383#339—474no—
384#339—474no—
385#339—474no—
386#339C2×D4714yes—
387C47C2×#198611yescharacteristic, complemented, Sylow
388C22×Q8—941no—
389C22×Q8—941no—
390C23×C4—471no—
391C23×C4—471no—
392C23×C4—471no—
393C23×C4—942no—
394C2×M16—472no—
395C2×M16—478no—
396C2×M16—942no—
397C2×M16—944no—
398C2×M16C22×D4712yes—
399C22×C8—942no—
400C4⋊Q8—472no—
401C4⋊Q8—472no—
402C4⋊Q8—471no—
403C4⋊Q8—471no—
404C4⋊Q8—941no—
405C4⋊Q8—941no—
406C4⋊Q8—941no—
407C4⋊Q8—941no—
408C4⋊Q8C4×D4711yescharacteristic, complemented
409C4⋊Q8C4×D4711yescharacteristic, complemented
410#125—472no—
411#125—472no—
412#125—472no—
413#125—942no—
414#125—942no—
415#125C4×D4712yescomplemented
416C22⋊Q8—21no—
417C22⋊Q8—21no—
418C22⋊Q8—942no—
419C22⋊Q8—942no—
420C22⋊Q8—942no—
421C22⋊Q8—942no—
422C22⋊Q8—941no—
423C22⋊Q8—941no—
424C22⋊Q8—941no—
425C22⋊Q8—941no—
426C22⋊Q8—941no—
427C22⋊Q8—941no—
428C4×Q8—21no—
429C4×Q8—21no—
430C4×Q8—942no—
431C4×Q8—942no—
432C4×Q8—942no—
433C4×Q8—942no—
434C4×Q8—941no—
435C4×Q8—941no—
436C4×Q8—941no—
437C4×Q8—941no—
438C4×Q8—941no—
439C4×Q8—941no—
440#117—472no—
441#117—472no—
442#117—472no—
443#117—942no—
444#117—942no—
445#117C22×D4712yes—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—472no—
448C2×C4⋊C4—472no—
449C2×C4⋊C4—942no—
450C2×C4⋊C4—942no—
451C2×C4⋊C4—941no—
452C2×C4⋊C4—941no—
453C2×C4⋊C4—948no—
454C2×C4⋊C4—942no—
455C2×C4⋊C4—941no—
456C2×C22⋊C4—942no—
457C2×C42—471no—
458C2×C42—471no—
459C2×C42—471no—
460C2×C42—471no—
461C2×C42—471no—
462C2×C42—471no—
463C2×C42—471no—
464C2×C42—471no—
465C2×C42—471no—
466C2×C42—471no—
467C2×C42—471no—
468C2×C42—472no—
469C2×C42—942no—
470C2×C42—948no—
471C2×C42—942no—
472C2×C42C22×D4712yes—
473C2×C42C22×D4711yescharacteristic
474#97—21no—
475#97—942no—
476#97—941no—
477C4×C8—21no—
478C4×C8—942no—
479C4×C8—941no—
480#95—21no—
481#95—942no—
482#95—941no—
483C24—471no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—942no—
487C2×Q8—942no—
488C2×Q8—941no—
489C2×Q8—941no—
490C2×Q8—1884no—
491C2×Q8—1884no—
492C22×C4—22no—
493C22×C4—471no—
494C22×C4—471no—
495C22×C4—471no—
496C22×C4—471no—
497C22×C4—471no—
498C22×C4—471no—
499C22×C4—474no—
500C22×C4—474no—
501C22×C4—471no—
502C22×C4—471no—
503C22×C4—471no—
504C22×C4—471no—
505C22×C4—471no—
506C22×C4—471no—
507C22×C4—471no—
508C22×C4—471no—
509C22×C4—471no—
510C22×C4—944no—
511C22×C4—942no—
512C22×C4—942no—
513C22×C4—948no—
514C22×C4—942no—
515C22×C4—1882no—
516C22×C4—1884no—
517C22×C4—1884no—
518C22×C4D4×D4711yescharacteristic
519C22×C4D4×D4711yescharacteristic
520C22×C4C23×D4711yescharacteristic
521M16—22no—
522M16—474no—
523M16—948no—
524M16—942no—
525M16Q8×D4714yescomplemented
526C2×C8—22no—
527C2×C8—948no—
528C2×C8—942no—
529C4⋊C4—24no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—472no—
535C4⋊C4—472no—
536C4⋊C4—942no—
537C4⋊C4—942no—
538C4⋊C4—942no—
539C4⋊C4—942no—
540C4⋊C4—942no—
541C4⋊C4—942no—
542C4⋊C4—942no—
543C4⋊C4—942no—
544C4⋊C4—948no—
545C4⋊C4—944no—
546C4⋊C4—942no—
547C4⋊C4—942no—
548C4⋊C4—941no—
549C4⋊C4—941no—
550C4⋊C4C2×C4×D4712yes—
551C4⋊C4C2×C4×D4712yes—
552C22⋊C4—22no—
553C22⋊C4—942no—
554C22⋊C4—942no—
555C22⋊C4—942no—
556C42—22no—
557C42—24no—
558C42—471no—
559C42—471no—
560C42—471no—
561C42—471no—
562C42—471no—
563C42—471no—
564C42—471no—
565C42—471no—
566C42—471no—
567C42—471no—
568C42—471no—
569C42—471no—
570C42—942no—
571C42—942no—
572C42—942no—
573C42—944no—
574C42—1884no—
575C42C2×C4×D4711yescharacteristic
576C42C2×C4×D4711yescharacteristic
577C42D4×D4711yescharacteristic
578C42D4×D4711yescharacteristic
579C23—471no—
580C23—471no—
581C23—472no—
582C23—472no—
583C23—942no—
584C23—942no—
585C23C2×D4×D4711yescharacteristic
586Q8—42no—
587Q8—42no—
588Q8—1882no—
589Q8—1884no—
590Q8—1884no—
591Q8—1882no—
592C2×C4—22no—
593C2×C4—24no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—41no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—471no—
600C2×C4—471no—
601C2×C4—471no—
602C2×C4—472no—
603C2×C4—472no—
604C2×C4—474no—
605C2×C4—474no—
606C2×C4—474no—
607C2×C4—474no—
608C2×C4—474no—
609C2×C4—471no—
610C2×C4—471no—
611C2×C4—471no—
612C2×C4—942no—
613C2×C4—942no—
614C2×C4—942no—
615C2×C4—942no—
616C2×C4—942no—
617C2×C4—942no—
618C2×C4—944no—
619C2×C4—942no—
620C2×C4—942no—
621C2×C4—1881no—
622C2×C4—1881no—
623C2×C4—1884no—
624C2×C4—1884no—
625C2×C4—18816no—
626C2×C4—1881no—
627C2×C4—1882no—
628C2×C4—1882no—
629C2×C4C22⋊C4×D4711yescharacteristic
630C2×C4C22⋊C4×D4711yescharacteristic
631C2×C4C22⋊C4×D4711yescharacteristic
632C2×C4C22⋊C4×D4711yescharacteristic
633C2×C4C22×C4×D4711yescharacteristic
634C2×C4C2×D4×D4711yescharacteristic
635C2×C4C2×Q8×D4712yes—
636C2×C4#41×D4712yes—
637C8—24no—
638C8—944no—
639C22—21no—
640C22—21no—
641C22—472no—
642C22—472no—
643C22—472no—
644C22—472no—
645C22—944no—
646C22—944no—
647C22—941no—
648C22—941no—
649C22C2×C22⋊C4×D4711yescharacteristic
650C22#124×D4711yescharacteristic
651C22C4⋊Q8×D4711yescharacteristic
652C4—21no—
653C4—21no—
654C4—21no—
655C4—44no—
656C4—42no—
657C4—42no—
658C4—472no—
659C4—472no—
660C4—472no—
661C4—941no—
662C4—941no—
663C4—941no—
664C4—1884no—
665C4—1882no—
666C4—1882no—
667C4#104×D4712yes—
668C4C4×Q8×D4712yes—
669C4C22⋊Q8×D4712yes—
670C2—21no—
671C2—21no—
672C2—474no—
673C2—942no—
674C2#391×D4711yescharacteristic
675C2C2×#104×D4711yescharacteristic
676C2#421×D4711yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1986C2
socleC22×C47C22×C22⋊C4
prime radicalC23×D47C2×D4
cosocleC22×C4×C47C24
hypercenter#1986D47
hypocenterC47C2×#1986
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1986

Complements

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

NH ≅ G/Ntype
4. #20244333C2semidirect
5. #20244332C2semidirect
6. #20244331C2semidirect
7. #20244330C2semidirect
9. C47×#1986C2semidirect
12. #15689679C4semidirect
13. #15689678C4semidirect
14. #15689678C4semidirect
20. C4⋊Q8×D47C4semidirect
21. C4⋊Q8×D47C4semidirect
22. #125×D47C4semidirect
58. M16×D47Q8semidirect
60. #13094024C2×C4semidirect
61. #13094024C2×C4semidirect
64. #13094023C2×C4semidirect
65. #13094023C2×C4semidirect
68. #13094016C2×C4semidirect
69. #13094015C2×C4semidirect
70. #13094015C2×C4semidirect
130. C4⋊Q8×C47C2×C4semidirect
131. C4⋊Q8×C47C2×C4semidirect
132. #125×C47C2×C4semidirect
183. M16×C47C2×Q8semidirect
236. #10625329C2×Q8semidirect
339. #1986D47direct (N × H)
347. D47#1986direct (N × H)
387. C47C2×#1986semidirect
408. C4⋊Q8C4×D47semidirect
409. C4⋊Q8C4×D47semidirect
415. #125C4×D47semidirect
525. M16Q8×D47semidirect

Maximal subgroups

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

subgroupindex
#533×D472
C4×M16×D472
C4×C4⋊C4×D472
#202443332
#202443322
#202443312
#202443302
#339×D472
C47×#19862
C2×#198647