Finite Group Databasebeta

← C47×#19763 #26059461

Subgroups — C47×#19763 #26059461

Order 12032.

756 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3384C211yesmaximal, characteristic, complemented
2C47×#3295C211yesmaximal, characteristic, complemented
3D4×SD16×C47C211yesmaximal, characteristic, complemented
4D4×D8×C47C211yesmaximal, characteristic
5C47×#1715C211yesmaximal, characteristic, complemented
6C47×#1688C211yesmaximal, characteristic, complemented
7C47×#1677C211yesmaximal, characteristic, complemented
8C47×#1671C211yesmaximal, characteristic, complemented
9C47×#1665C211yesmaximal, characteristic, complemented
10C47×#1639C211yesmaximal, characteristic, complemented
11C47×#1629C211yesmaximal, characteristic, complemented
12C47×#1627C211yesmaximal, characteristic, complemented
13C47×#1622C211yesmaximal, characteristic, complemented
14C47×#1582C211yesmaximal, characteristic, complemented
15C47×#1580C211yesmaximal, characteristic, complemented
16C22×SD16×C47—21no—
17C22×D8×C47—21no—
18C47×#554C2211yescharacteristic, complemented
19D4×Q8×C47C2211yescharacteristic, complemented
20D42×C47C2211yescharacteristic
21D42×C47C2211yescharacteristic
22C47×#501—21no—
23C47×#498C2211yescharacteristic, complemented
24C47×#493C2211yescharacteristic
25C47×#492C2211yescharacteristic, complemented
26C47×#492C2211yescharacteristic, complemented
27C47×#486C2211yescharacteristic, complemented
28C47×#486C2211yescharacteristic, complemented
29C47×#481—21no—
30C47×#478—21no—
31C47×#476—21no—
32C47×#476C2211yescharacteristic
33C47×#476C2211yescharacteristic, complemented
34C47×#474C2211yescharacteristic, complemented
35C47×#466—21no—
36C47×#465—21no—
37C47×#465—21no—
38C47×#461C2211yescharacteristic
39C47×#460C2211yescharacteristic, complemented
40C47×#460C2211yescharacteristic, complemented
41C47×#459C2211yescharacteristic
42C47×#459C2211yescharacteristic
43C47×#450—21no—
44C47×#450—21no—
45C47×#448—21no—
46C47×#447—21no—
47C47×#447—21no—
48C47×#446C2211yescharacteristic, complemented
49C47×#442—21no—
50C4×SD16×C47C2211yescharacteristic
51C4×D8×C47C2211yescharacteristic
52C8×D4×C47C2211yescharacteristic
53C8×D4×C47C2211yescharacteristic, complemented
54C8×D4×C47C2211yescharacteristic, complemented
55C2×#102×C47—21no—
56C47×#334C2211yescharacteristic, complemented
57C47×#334C2211yescharacteristic, complemented
58C47×#333C2211yescharacteristic, complemented
59C47×#332C2211yescharacteristic, complemented
60C47×#331C2211yescharacteristic, complemented
61C47×#331C2211yescharacteristic, complemented
62C47×Q8⋊C8C2211yescharacteristic, complemented
63C47×D4⋊C8C2211yescharacteristic
64C47×D4⋊C8C2211yescharacteristic, complemented
65C47×D4⋊C8C2211yescharacteristic, complemented
66C47×#322C2211yescharacteristic, complemented
67C22×Q8×C47—21no—
68C22×D4×C47—21no—
69C22×D4×C47—21no—
70C22×D4×C47—21no—
71C22×D4×C47—21no—
72C2×SD16×C47—21no—
73C2×SD16×C47—21no—
74C2×SD16×C47—21no—
75C2×SD16×C47—21no—
76C2×SD16×C47—21no—
77C2×SD16×C47—41no—
78C2×SD16×C47—44no—
79C2×SD16×C47D411yescharacteristic
80C2×D8×C47—21no—
81C2×D8×C47—21no—
82C2×D8×C47—21no—
83C2×D8×C47—21no—
84C2×D8×C47—44no—
85C2×D8×C47D411yescharacteristic
86C22×C8×C47—21no—
87C22×C8×C47—21no—
88C22×C8×C47—21no—
89C4⋊Q8×C47—21no—
90C4⋊Q8×C47C2311yescharacteristic
91C4⋊Q8×C47C2311yescharacteristic
92#127×C47C2311yescharacteristic
93#127×C47C2311yescharacteristic
94#125×C47—21no—
95C22⋊Q8×C47—21no—
96C22⋊Q8×C47—21no—
97C22⋊Q8×C47—41no—
98C22⋊Q8×C47—41no—
99#121×C47—21no—
100#121×C47—21no—
101#121×C47—21no—
102#121×C47—21no—
103#120×C47—41no—
104#120×C47—41no—
105C4×Q8×C47C2311yescharacteristic
106C4×D4×C47—21no—
107C4×D4×C47—21no—
108C4×D4×C47C2311yescharacteristic
109C4×D4×C47C2311yescharacteristic
110C4×D4×C47C2311yescharacteristic
111C2×C4⋊C4×C47—21no—
112#107×C47—21no—
113#107×C47D411yescharacteristic
114#106×C47—21no—
115#106×C47—21no—
116#106×C47—21no—
117#106×C47—21no—
118#106×C47D411yescharacteristic
119C4⋊C8×C47—21no—
120C4⋊C8×C47C2311yescharacteristic
121C4⋊C8×C47C2311yescharacteristic
122C4⋊C8×C47C2311yescharacteristic
123C4⋊C8×C47C2311yescharacteristic
124#103×C47—21no—
125#103×C47D411yescharacteristic
126#102×C47—21no—
127#102×C47—21no—
128#102×C47—21no—
129#102×C47—21no—
130#102×C47—21no—
131#102×C47—21no—
132#102×C47—21no—
133#102×C47—21no—
134#102×C47—21no—
135#102×C47—41no—
136#102×C47D411yescharacteristic
137#102×C47D411yescharacteristic
138#102×C47D411yescharacteristic
139C22⋊C8×C47—21no—
140C22⋊C8×C47—21no—
141C22⋊C8×C47—21no—
142#97×C47—21no—
143C4×C8×C47C2311yescharacteristic
144C4×C8×C47C2311yescharacteristic
145C4×C8×C47C2311yescharacteristic
146C24×C47—41no—
147C24×C47—41no—
148C2×Q8×C47—21no—
149C2×Q8×C47—21no—
150C2×Q8×C47—41no—
151C2×Q8×C47—42no—
152C2×Q8×C47—81no—
153C2×Q8×C47C2×D411yescharacteristic
154C2×D4×C47—21no—
155C2×D4×C47—21no—
156C2×D4×C47—21no—
157C2×D4×C47—21no—
158C2×D4×C47—21no—
159C2×D4×C47—21no—
160C2×D4×C47—41no—
161C2×D4×C47—41no—
162C2×D4×C47—41no—
163C2×D4×C47—41no—
164C2×D4×C47—42no—
165C2×D4×C47—42no—
166C2×D4×C47—42no—
167C2×D4×C47—42no—
168C2×D4×C47—81no—
169C2×D4×C47—81no—
170C2×D4×C47—81no—
171C2×D4×C47—81no—
172C2×D4×C47C2×D411yescharacteristic
173C2×D4×C47C2×D411yescharacteristic
174C2×D4×C47C2×D411yescharacteristic
175C22×C4×C47—21no—
176C22×C4×C47—21no—
177C22×C4×C47—21no—
178C22×C4×C47—41no—
179C22×C4×C47—41no—
180SD16×C47—22no—
181SD16×C47—42no—
182SD16×C47—42no—
183SD16×C47—42no—
184SD16×C47—81no—
185SD16×C47—81no—
186SD16×C47—82no—
187D8×C47—42no—
188D8×C47—42no—
189D8×C47—42no—
190D8×C47—81no—
191D8×C47SD1614yescomplemented
192C2×C8×C47—21no—
193C2×C8×C47—21no—
194C2×C8×C47—21no—
195C2×C8×C47—21no—
196C2×C8×C47—21no—
197C2×C8×C47—42no—
198C2×C8×C47—42no—
199C2×C8×C47—81no—
200C2×C8×C47C2×D411yescharacteristic
201C2×C8×C47C2×D411yescharacteristic
202C2×C8×C47C2×D411yescharacteristic
203C2×C8×C47C2×D411yescharacteristic
204C4⋊C4×C47—21no—
205C4⋊C4×C47—21no—
206C4⋊C4×C47—21no—
207C4⋊C4×C47—21no—
208C4⋊C4×C47—21no—
209C4⋊C4×C47—41no—
210C4⋊C4×C47—41no—
211C4⋊C4×C47—41no—
212C4⋊C4×C47C2×D411yescharacteristic
213C4⋊C4×C47C2×D411yescharacteristic
214C4⋊C4×C47C2×D411yescharacteristic
215C4⋊C4×C47C2×D411yescharacteristic
216C22⋊C4×C47—21no—
217C22⋊C4×C47—21no—
218C22⋊C4×C47—21no—
219C22⋊C4×C47—41no—
220C22⋊C4×C47—41no—
221C22⋊C4×C47—41no—
222C22⋊C4×C47—41no—
223C42×C47—21no—
224C42×C47C2411yescharacteristic
225C23×C47—21no—
226C23×C47—21no—
227C23×C47—21no—
228C23×C47—41no—
229C23×C47—41no—
230C23×C47—82no—
231C23×C47—82no—
232C23×C47—82no—
233C23×C47—82no—
234C23×C47—161no—
235C23×C47—161no—
236Q8×C47—21no—
237Q8×C47—21no—
238Q8×C47—41no—
239Q8×C47—41no—
240Q8×C47—81no—
241Q8×C47—82no—
242D4×C47—21no—
243D4×C47—21no—
244D4×C47—21no—
245D4×C47—41no—
246D4×C47—41no—
247D4×C47—41no—
248D4×C47—41no—
249D4×C47—41no—
250D4×C47—41no—
251D4×C47—41no—
252D4×C47—41no—
253D4×C47—81no—
254D4×C47—81no—
255D4×C47—82no—
256D4×C47—82no—
257D4×C47—82no—
258D4×C47—82no—
259D4×C47C2×SD1612yes—
260D4×C47C2×SD1612yescomplemented
261D4×C47AGL(1,ℤ/8)12yes—
262C2×C4×C47—21no—
263C2×C4×C47—21no—
264C2×C4×C47—21no—
265C2×C4×C47—21no—
266C2×C4×C47—21no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47—41no—
270C2×C4×C47—41no—
271C2×C4×C47—41no—
272C2×C4×C47—41no—
273C2×C4×C47—41no—
274C2×C4×C47—41no—
275C2×C4×C47—82no—
276C2×C4×C47—161no—
277C2×C4×C47C22×D411yescharacteristic
278C2×C4×C47C22×D411yescharacteristic
279C2×C4×C47H(5,𝔽2)11yescharacteristic
280C8×C47—21no—
281C8×C47—21no—
282C8×C47—21no—
283C8×C47—41no—
284C8×C47—41no—
285C8×C47—41no—
286C8×C47—41no—
287C8×C47—41no—
288C8×C47C2×SD1612yescomplemented
289#19763C4711yesmaximal, characteristic, direct product factor, Sylow
290C22×C47—22no—
291C22×C47—22no—
292C22×C47—22no—
293C22×C47—41no—
294C22×C47—41no—
295C22×C47—41no—
296C22×C47—41no—
297C22×C47—41no—
298C22×C47—41no—
299C22×C47—81no—
300C22×C47—81no—
301C22×C47—81no—
302C22×C47—81no—
303C22×C47—81no—
304C22×C47—81no—
305C22×C47—164no—
306C22×C47—164no—
307C22×C47D4211yescharacteristic
308C4×C47—21no—
309C4×C47—41no—
310C4×C47—41no—
311C4×C47—41no—
312C4×C47—41no—
313C4×C47—41no—
314C4×C47—81no—
315C4×C47—81no—
316C4×C47C22×SD1611yescharacteristic
317C4×C47C2×AGL(1,ℤ/8)11yescharacteristic
318C4×C47#57611yescharacteristic
319C4×C47#57711yescharacteristic
320#3384C2×C4711yescharacteristic, complemented
321#3295C2×C4711yescharacteristic, complemented
322D4×SD16C2×C4711yescharacteristic, complemented
323D4×D8C2×C4711yescharacteristic
324#1715C2×C4711yescharacteristic, complemented
325#1688C2×C4711yescharacteristic, complemented
326#1677C2×C4711yescharacteristic, complemented
327#1671C2×C4711yescharacteristic, complemented
328#1665C2×C4711yescharacteristic, complemented
329#1639C2×C4711yescharacteristic, complemented
330#1629C2×C4711yescharacteristic, complemented
331#1627C2×C4711yescharacteristic, complemented
332#1622C2×C4711yescharacteristic, complemented
333#1582C2×C4711yescharacteristic, complemented
334#1580C2×C4711yescharacteristic, complemented
335C2×C47—42no—
336C2×C47—42no—
337C2×C47—42no—
338C2×C47—161no—
339C2×C47—161no—
340C2×C47#326411yescharacteristic
341C2×C47D4×SD1611yescharacteristic
342C2×C47#328811yescharacteristic
343C22×SD16—21no—
344C22×D8—21no—
345#554C22×C4711yescharacteristic, complemented
346D4×Q8C22×C4711yescharacteristic, complemented
347D42C22×C4711yescharacteristic
348D42C22×C4711yescharacteristic
349#501—21no—
350#498C22×C4711yescharacteristic, complemented
351#493C22×C4711yescharacteristic
352#492C22×C4711yescharacteristic, complemented
353#492C22×C4711yescharacteristic, complemented
354#486C22×C4711yescharacteristic, complemented
355#486C22×C4711yescharacteristic, complemented
356#481—21no—
357#478—21no—
358#476—21no—
359#476C22×C4711yescharacteristic
360#476C22×C4711yescharacteristic, complemented
361#474C22×C4711yescharacteristic, complemented
362#466—21no—
363#465—21no—
364#465—21no—
365#461C22×C4711yescharacteristic
366#460C22×C4711yescharacteristic, complemented
367#460C22×C4711yescharacteristic, complemented
368#459C22×C4711yescharacteristic
369#459C22×C4711yescharacteristic
370#450—21no—
371#450—21no—
372#448—21no—
373#447—21no—
374#447—21no—
375#446C22×C4711yescharacteristic, complemented
376#442—21no—
377C4×SD16C22×C4711yescharacteristic
378C4×D8C22×C4711yescharacteristic
379C8×D4C22×C4711yescharacteristic
380C8×D4C22×C4711yescharacteristic, complemented
381C8×D4C22×C4711yescharacteristic, complemented
382C2×#102—21no—
383#334C22×C4711yescharacteristic, complemented
384#334C22×C4711yescharacteristic, complemented
385#333C22×C4711yescharacteristic, complemented
386#332C22×C4711yescharacteristic, complemented
387#331C22×C4711yescharacteristic, complemented
388#331C22×C4711yescharacteristic, complemented
389Q8⋊C8C22×C4711yescharacteristic, complemented
390D4⋊C8C22×C4711yescharacteristic
391D4⋊C8C22×C4711yescharacteristic, complemented
392D4⋊C8C22×C4711yescharacteristic, complemented
393#322C22×C4711yescharacteristic, complemented
394C47#1976311yescharacteristic, direct product factor, Sylow
395C22×Q8—21no—
396C22×D4—21no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—21no—
400C2×SD16—21no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16—41no—
406C2×SD16—44no—
407C2×SD16D4×C4711yescharacteristic
408C2×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×D8—21no—
412C2×D8—44no—
413C2×D8D4×C4711yescharacteristic
414C22×C8—21no—
415C22×C8—21no—
416C22×C8—21no—
417C4⋊Q8—21no—
418C4⋊Q8C23×C4711yescharacteristic
419C4⋊Q8C23×C4711yescharacteristic
420#127C23×C4711yescharacteristic
421#127C23×C4711yescharacteristic
422#125—21no—
423C22⋊Q8—21no—
424C22⋊Q8—21no—
425C22⋊Q8—41no—
426C22⋊Q8—41no—
427#121—21no—
428#121—21no—
429#121—21no—
430#121—21no—
431#120—41no—
432#120—41no—
433C4×Q8C23×C4711yescharacteristic
434C4×D4—21no—
435C4×D4—21no—
436C4×D4C23×C4711yescharacteristic
437C4×D4C23×C4711yescharacteristic
438C4×D4C23×C4711yescharacteristic
439C2×C4⋊C4—21no—
440#107—21no—
441#107D4×C4711yescharacteristic
442#106—21no—
443#106—21no—
444#106—21no—
445#106—21no—
446#106D4×C4711yescharacteristic
447C4⋊C8—21no—
448C4⋊C8C23×C4711yescharacteristic
449C4⋊C8C23×C4711yescharacteristic
450C4⋊C8C23×C4711yescharacteristic
451C4⋊C8C23×C4711yescharacteristic
452#103—21no—
453#103D4×C4711yescharacteristic
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—21no—
460#102—21no—
461#102—21no—
462#102—21no—
463#102—41no—
464#102D4×C4711yescharacteristic
465#102D4×C4711yescharacteristic
466#102D4×C4711yescharacteristic
467C22⋊C8—21no—
468C22⋊C8—21no—
469C22⋊C8—21no—
470#97—21no—
471C4×C8C23×C4711yescharacteristic
472C4×C8C23×C4711yescharacteristic
473C4×C8C23×C4711yescharacteristic
474C24—41no—
475C24—41no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—41no—
479C2×Q8—42no—
480C2×Q8—81no—
481C2×Q8C2×D4×C4711yescharacteristic
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—41no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—81no—
497C2×D4—81no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4C2×D4×C4711yescharacteristic
501C2×D4C2×D4×C4711yescharacteristic
502C2×D4C2×D4×C4711yescharacteristic
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—41no—
507C22×C4—41no—
508SD16—22no—
509SD16—42no—
510SD16—42no—
511SD16—42no—
512SD16—81no—
513SD16—81no—
514SD16—82no—
515D8—42no—
516D8—42no—
517D8—42no—
518D8—81no—
519D8SD16×C4714yescomplemented
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—42no—
526C2×C8—42no—
527C2×C8—81no—
528C2×C8C2×D4×C4711yescharacteristic
529C2×C8C2×D4×C4711yescharacteristic
530C2×C8C2×D4×C4711yescharacteristic
531C2×C8C2×D4×C4711yescharacteristic
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—41no—
538C4⋊C4—41no—
539C4⋊C4—41no—
540C4⋊C4C2×D4×C4711yescharacteristic
541C4⋊C4C2×D4×C4711yescharacteristic
542C4⋊C4C2×D4×C4711yescharacteristic
543C4⋊C4C2×D4×C4711yescharacteristic
544C22⋊C4—21no—
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C42—21no—
552C42C24×C4711yescharacteristic
553C23—21no—
554C23—21no—
555C23—21no—
556C23—41no—
557C23—41no—
558C23—82no—
559C23—82no—
560C23—82no—
561C23—82no—
562C23—161no—
563C23—161no—
564Q8—21no—
565Q8—21no—
566Q8—41no—
567Q8—41no—
568Q8—81no—
569Q8—82no—
570D4—21no—
571D4—21no—
572D4—21no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—81no—
582D4—81no—
583D4—82no—
584D4—82no—
585D4—82no—
586D4—82no—
587D4C2×SD16×C4712yes—
588D4C2×SD16×C4712yescomplemented
589D4AGL(1,ℤ/8)×C4712yes—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—82no—
604C2×C4—161no—
605C2×C4C22×D4×C4711yescharacteristic
606C2×C4C22×D4×C4711yescharacteristic
607C2×C4H(5,𝔽2)×C4711yescharacteristic
608C8—21no—
609C8—21no—
610C8—21no—
611C8—41no—
612C8—41no—
613C8—41no—
614C8—41no—
615C8—41no—
616C8C2×SD16×C4712yescomplemented
617C22—22no—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—164no—
633C22—164no—
634C22D42×C4711yescharacteristic
635C4—21no—
636C4—41no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—81no—
642C4—81no—
643C4C22×SD16×C4711yescharacteristic
644C4C2×AGL(1,ℤ/8)×C4711yescharacteristic
645C4C47×#57611yescharacteristic
646C4C47×#57711yescharacteristic
647C2—42no—
648C2—42no—
649C2—42no—
650C2—161no—
651C2—161no—
652C2C47×#326411yescharacteristic
653C2D4×SD16×C4711yescharacteristic
654C2C47×#328811yescharacteristic
subgroupG/H
center, socleC22×C47D42
commutator, Frattini, cosocleC42C24×C47
prime radicalD4×D8×C47C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C47 ◁ C42×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3384C2semidirect
2. C47×#3295C2semidirect
3. D4×SD16×C47C2semidirect
5. C47×#1715C2semidirect
6. C47×#1688C2semidirect
7. C47×#1677C2semidirect
8. C47×#1671C2semidirect
9. C47×#1665C2semidirect
10. C47×#1639C2semidirect
11. C47×#1629C2semidirect
12. C47×#1627C2semidirect
13. C47×#1622C2semidirect
14. C47×#1582C2semidirect
15. C47×#1580C2semidirect
18. C47×#554C22semidirect
19. D4×Q8×C47C22semidirect
23. C47×#498C22semidirect
25. C47×#492C22semidirect
26. C47×#492C22semidirect
27. C47×#486C22semidirect
28. C47×#486C22semidirect
33. C47×#476C22semidirect
34. C47×#474C22semidirect
39. C47×#460C22semidirect
40. C47×#460C22semidirect
48. C47×#446C22semidirect
53. C8×D4×C47C22semidirect
54. C8×D4×C47C22semidirect
56. C47×#334C22semidirect
57. C47×#334C22semidirect
58. C47×#333C22semidirect
59. C47×#332C22semidirect
60. C47×#331C22semidirect
61. C47×#331C22semidirect
62. C47×Q8⋊C8C22semidirect
64. C47×D4⋊C8C22semidirect
65. C47×D4⋊C8C22semidirect
66. C47×#322C22semidirect
191. D8×C47SD16semidirect
260. D4×C47C2×SD16semidirect
288. C8×C47C2×SD16semidirect
289. #19763C47direct (N × H)
320. #3384C2×C47semidirect
321. #3295C2×C47semidirect
322. D4×SD16C2×C47semidirect
324. #1715C2×C47semidirect
325. #1688C2×C47semidirect
326. #1677C2×C47semidirect
327. #1671C2×C47semidirect
328. #1665C2×C47semidirect
329. #1639C2×C47semidirect
330. #1629C2×C47semidirect
331. #1627C2×C47semidirect
332. #1622C2×C47semidirect
333. #1582C2×C47semidirect
334. #1580C2×C47semidirect
345. #554C22×C47semidirect
346. D4×Q8C22×C47semidirect
350. #498C22×C47semidirect
352. #492C22×C47semidirect
353. #492C22×C47semidirect
354. #486C22×C47semidirect
355. #486C22×C47semidirect
360. #476C22×C47semidirect
361. #474C22×C47semidirect
366. #460C22×C47semidirect
367. #460C22×C47semidirect
375. #446C22×C47semidirect
380. C8×D4C22×C47semidirect
381. C8×D4C22×C47semidirect
383. #334C22×C47semidirect
384. #334C22×C47semidirect
385. #333C22×C47semidirect
386. #332C22×C47semidirect
387. #331C22×C47semidirect
388. #331C22×C47semidirect
389. Q8⋊C8C22×C47semidirect
391. D4⋊C8C22×C47semidirect
392. D4⋊C8C22×C47semidirect
393. #322C22×C47semidirect
394. C47#19763direct (N × H)
519. D8SD16×C47semidirect
588. D4C2×SD16×C47semidirect
616. C8C2×SD16×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#33842
C47×#32952
D4×SD16×C472
D4×D8×C472
C47×#17152
C47×#16882
C47×#16772
C47×#16712
C47×#16652
C47×#16392
C47×#16292
C47×#16272
C47×#16222
C47×#15822
C47×#15802
#1976347