Finite Group Databasebeta

← C47×#19886 #26059584

Subgroups — C47×#19886 #26059584

Order 12032.

738 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3358C211yesmaximal, characteristic, complemented
2C47×#3294C211yesmaximal, characteristic, complemented
3C47×#3276C211yesmaximal, characteristic, complemented
4C47×#3274C211yesmaximal, characteristic, complemented
5C47×#1709C211yesmaximal, characteristic, complemented
6C47×#1689C211yesmaximal, characteristic, complemented
7C47×#1687C211yesmaximal, characteristic, complemented
8C47×#1682C211yesmaximal, characteristic, complemented
9C47×#1681C211yesmaximal, characteristic, complemented
10C47×#1641C211yesmaximal, characteristic, complemented
11C47×#1639C211yesmaximal, characteristic, complemented
12C47×#1627C211yesmaximal, characteristic, complemented
13C47×#1625C211yesmaximal, characteristic, complemented
14C47×#1589C211yesmaximal, characteristic, complemented
15C8×SD16×C47C211yesmaximal, characteristic, complemented
16C2×#137×C47—21no—
17C2×AGL(1,ℤ/8)×C47—21no—
18C47×#550C2211yescharacteristic
19D4×Q8×C47C2211yescharacteristic, complemented
20C47×#547C2211yescharacteristic
21D42×C47C2211yescharacteristic
22C47×#494C2211yescharacteristic, complemented
23C47×#493C2211yescharacteristic
24C47×#486—21no—
25C47×#486C2211yescharacteristic
26C47×#486C2211yescharacteristic
27C47×#486C2211yescharacteristic, complemented
28C47×#486C2211yescharacteristic, complemented
29C47×#480—21no—
30C47×#474—21no—
31C47×#474C2211yescharacteristic
32C47×#474C2211yescharacteristic
33C47×#470—21no—
34C47×#469—21no—
35C47×#466—21no—
36C47×#462C2211yescharacteristic, complemented
37C47×#461C2211yescharacteristic
38C47×#460C2211yescharacteristic
39C47×#459—21no—
40C47×#459C2211yescharacteristic
41C47×#459C2211yescharacteristic
42C47×#459C2211yescharacteristic, complemented
43C47×#452—21no—
44C47×#451—21no—
45C47×#449—21no—
46C47×#447—21no—
47C47×#447—21no—
48C8×Q8×C47C2211yescharacteristic, complemented
49C4×SD16×C47C2211yescharacteristic
50C4×D8×C47—21no—
51C4×D8×C47C2211yescharacteristic
52C47×#436C2211yescharacteristic
53C47×#436C2211yescharacteristic, complemented
54C8×D4×C47C2211yescharacteristic
55C2×#102×C47—21no—
56C47×#335C2211yescharacteristic, complemented
57C47×#334C2211yescharacteristic, complemented
58C47×#332C2211yescharacteristic, complemented
59C47×#332C2211yescharacteristic, complemented
60C47×#331C2211yescharacteristic
61C47×#331C2211yescharacteristic, complemented
62C47×Q8⋊C8C2211yescharacteristic, complemented
63C47×D4⋊C8C2211yescharacteristic
64C47×D4⋊C8C2211yescharacteristic
65C47×D4⋊C8C2211yescharacteristic, complemented
66C82×C47C2211yescharacteristic, complemented
67C2×#41×C47—21no—
68C2×#41×C47—21no—
69C22×Q8×C47—21no—
70C22×D4×C47—21no—
71C22×D4×C47—21no—
72#137×C47—44no—
73AGL(1,ℤ/8)×C47—44no—
74C2×Q16×C47—21no—
75C2×Q16×C47—21no—
76C2×Q16×C47—21no—
77C2×SD16×C47—21no—
78C2×SD16×C47—21no—
79C2×SD16×C47D411yescharacteristic
80C2×D8×C47—21no—
81C2×D8×C47—21no—
82C2×D8×C47—21no—
83C2×D8×C47—21no—
84C2×D8×C47—21no—
85C2×D8×C47D411yescharacteristic
86C2×M16×C47—21no—
87C2×M16×C47—21no—
88C22×C8×C47—21no—
89C4⋊Q8×C47—21no—
90C4⋊Q8×C47C2311yescharacteristic
91C4⋊Q8×C47C2311yescharacteristic
92#127×C47—21no—
93#127×C47C2311yescharacteristic
94#127×C47C2311yescharacteristic
95#123×C47—41no—
96C22⋊Q8×C47—21no—
97C22⋊Q8×C47—21no—
98C22⋊Q8×C47—41no—
99#121×C47—21no—
100#121×C47—21no—
101#121×C47—21no—
102#121×C47—21no—
103#121×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×C47—21no—
114#107×C47D411yescharacteristic
115#106×C47D411yescharacteristic
116C4⋊C8×C47—21no—
117C4⋊C8×C47C2311yescharacteristic
118C4⋊C8×C47C2311yescharacteristic
119C4⋊C8×C47C2311yescharacteristic
120C4⋊C8×C47C2311yescharacteristic
121#103×C47—21no—
122#103×C47—21no—
123#103×C47D411yescharacteristic
124#102×C47—21no—
125#102×C47—21no—
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—41no—
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—
142C4×C8×C47—21no—
143C4×C8×C47C2311yescharacteristic
144C4×C8×C47C2311yescharacteristic
145C4×C8×C47C2311yescharacteristic
146C24×C47—41no—
147#41×C47—42no—
148#41×C47—42no—
149#41×C47—81no—
150#41×C47—81no—
151C2×Q8×C47—21no—
152C2×Q8×C47—21no—
153C2×Q8×C47—41no—
154C2×Q8×C47—42no—
155C2×Q8×C47—81no—
156C2×Q8×C47C2×D411yescharacteristic
157C2×D4×C47—21no—
158C2×D4×C47—21no—
159C2×D4×C47—21no—
160C2×D4×C47—21no—
161C2×D4×C47—21no—
162C2×D4×C47—21no—
163C2×D4×C47—41no—
164C2×D4×C47—41no—
165C2×D4×C47—41no—
166C2×D4×C47—41no—
167C2×D4×C47—42no—
168C2×D4×C47—42no—
169C2×D4×C47—41no—
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—
180C22×C4×C47—41no—
181Q16×C47—42no—
182Q16×C47—42no—
183Q16×C47—81no—
184SD16×C47—42no—
185SD16×C47—42no—
186SD16×C47D814yescomplemented
187D8×C47—41no—
188D8×C47—42no—
189D8×C47—42no—
190D8×C47—42no—
191D8×C47—81no—
192D8×C47—81no—
193M16×C47—42no—
194M16×C47—42no—
195C2×C8×C47—21no—
196C2×C8×C47—21no—
197C2×C8×C47—21no—
198C2×C8×C47—21no—
199C2×C8×C47—21no—
200C2×C8×C47—81no—
201C2×C8×C47C2×D411yescharacteristic
202C2×C8×C47C2×D411yescharacteristic
203C2×C8×C47C2×D411yescharacteristic
204C2×C8×C47C2×D411yescharacteristic
205C4⋊C4×C47—21no—
206C4⋊C4×C47—21no—
207C4⋊C4×C47—21no—
208C4⋊C4×C47—21no—
209C4⋊C4×C47—21no—
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—161no—
233Q8×C47—21no—
234Q8×C47—41no—
235Q8×C47—41no—
236Q8×C47—41no—
237Q8×C47—41no—
238Q8×C47—82no—
239Q8×C47C2×D812yes—
240D4×C47—21no—
241D4×C47—21no—
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—82no—
254D4×C47—81no—
255D4×C47—81no—
256D4×C47—82no—
257D4×C47—82no—
258D4×C47—82no—
259D4×C47—161no—
260D4×C47C2×D812yes—
261C2×C4×C47—21no—
262C2×C4×C47—21no—
263C2×C4×C47—21no—
264C2×C4×C47—21no—
265C2×C4×C47—21no—
266C2×C4×C47—41no—
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—82no—
275C2×C4×C47—82no—
276C2×C4×C47—82no—
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×D812yes—
289#19886C4711yesmaximal, characteristic, direct product factor, Sylow
290C22×C47—22no—
291C22×C47—41no—
292C22×C47—41no—
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×C47D4211yescharacteristic
307C4×C47—22no—
308C4×C47—21no—
309C4×C47—41no—
310C4×C47—41no—
311C4×C47—41no—
312C4×C47—41no—
313C4×C47—81no—
314C4×C47—81no—
315C4×C47C22×D811yescharacteristic
316C4×C47#57511yescharacteristic
317C4×C47#57611yescharacteristic
318C4×C47#57711yescharacteristic
319#3358C2×C4711yescharacteristic, complemented
320#3294C2×C4711yescharacteristic, complemented
321#3276C2×C4711yescharacteristic, complemented
322#3274C2×C4711yescharacteristic, complemented
323#1709C2×C4711yescharacteristic, complemented
324#1689C2×C4711yescharacteristic, complemented
325#1687C2×C4711yescharacteristic, complemented
326#1682C2×C4711yescharacteristic, complemented
327#1681C2×C4711yescharacteristic, complemented
328#1641C2×C4711yescharacteristic, complemented
329#1639C2×C4711yescharacteristic, complemented
330#1627C2×C4711yescharacteristic, complemented
331#1625C2×C4711yescharacteristic, complemented
332#1589C2×C4711yescharacteristic, complemented
333C8×SD16C2×C4711yescharacteristic, complemented
334C2×C47—42no—
335C2×C47—81no—
336C2×C47—81no—
337C2×C47—161no—
338C2×C47—161no—
339C2×C47#327511yescharacteristic
340C2×C47D4×D811yescharacteristic
341C2×C47#329011yescharacteristic
342C2×#137—21no—
343C2×AGL(1,ℤ/8)—21no—
344#550C22×C4711yescharacteristic
345D4×Q8C22×C4711yescharacteristic, complemented
346#547C22×C4711yescharacteristic
347D42C22×C4711yescharacteristic
348#494C22×C4711yescharacteristic, complemented
349#493C22×C4711yescharacteristic
350#486—21no—
351#486C22×C4711yescharacteristic
352#486C22×C4711yescharacteristic
353#486C22×C4711yescharacteristic, complemented
354#486C22×C4711yescharacteristic, complemented
355#480—21no—
356#474—21no—
357#474C22×C4711yescharacteristic
358#474C22×C4711yescharacteristic
359#470—21no—
360#469—21no—
361#466—21no—
362#462C22×C4711yescharacteristic, complemented
363#461C22×C4711yescharacteristic
364#460C22×C4711yescharacteristic
365#459—21no—
366#459C22×C4711yescharacteristic
367#459C22×C4711yescharacteristic
368#459C22×C4711yescharacteristic, complemented
369#452—21no—
370#451—21no—
371#449—21no—
372#447—21no—
373#447—21no—
374C8×Q8C22×C4711yescharacteristic, complemented
375C4×SD16C22×C4711yescharacteristic
376C4×D8—21no—
377C4×D8C22×C4711yescharacteristic
378#436C22×C4711yescharacteristic
379#436C22×C4711yescharacteristic, complemented
380C8×D4C22×C4711yescharacteristic
381C2×#102—21no—
382#335C22×C4711yescharacteristic, complemented
383#334C22×C4711yescharacteristic, complemented
384#332C22×C4711yescharacteristic, complemented
385#332C22×C4711yescharacteristic, complemented
386#331C22×C4711yescharacteristic
387#331C22×C4711yescharacteristic, complemented
388Q8⋊C8C22×C4711yescharacteristic, complemented
389D4⋊C8C22×C4711yescharacteristic
390D4⋊C8C22×C4711yescharacteristic
391D4⋊C8C22×C4711yescharacteristic, complemented
392C82C22×C4711yescharacteristic, complemented
393C47#1988611yescharacteristic, direct product factor, Sylow
394C2×#41—21no—
395C2×#41—21no—
396C22×Q8—21no—
397C22×D4—21no—
398C22×D4—21no—
399#137—44no—
400AGL(1,ℤ/8)—44no—
401C2×Q16—21no—
402C2×Q16—21no—
403C2×Q16—21no—
404C2×SD16—21no—
405C2×SD16—21no—
406C2×SD16D4×C4711yescharacteristic
407C2×D8—21no—
408C2×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×D8—21no—
412C2×D8D4×C4711yescharacteristic
413C2×M16—21no—
414C2×M16—21no—
415C22×C8—21no—
416C4⋊Q8—21no—
417C4⋊Q8C23×C4711yescharacteristic
418C4⋊Q8C23×C4711yescharacteristic
419#127—21no—
420#127C23×C4711yescharacteristic
421#127C23×C4711yescharacteristic
422#123—41no—
423C22⋊Q8—21no—
424C22⋊Q8—21no—
425C22⋊Q8—41no—
426#121—21no—
427#121—21no—
428#121—21no—
429#121—21no—
430#121—41no—
431#120—41no—
432C4×Q8C23×C4711yescharacteristic
433C4×D4—21no—
434C4×D4—21no—
435C4×D4C23×C4711yescharacteristic
436C4×D4C23×C4711yescharacteristic
437C4×D4C23×C4711yescharacteristic
438C2×C4⋊C4—21no—
439#107—21no—
440#107—21no—
441#107D4×C4711yescharacteristic
442#106D4×C4711yescharacteristic
443C4⋊C8—21no—
444C4⋊C8C23×C4711yescharacteristic
445C4⋊C8C23×C4711yescharacteristic
446C4⋊C8C23×C4711yescharacteristic
447C4⋊C8C23×C4711yescharacteristic
448#103—21no—
449#103—21no—
450#103D4×C4711yescharacteristic
451#102—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—21no—
460#102—21no—
461#102—41no—
462#102—41no—
463#102D4×C4711yescharacteristic
464#102D4×C4711yescharacteristic
465#102D4×C4711yescharacteristic
466C22⋊C8—21no—
467C22⋊C8—21no—
468C22⋊C8—21no—
469C4×C8—21no—
470C4×C8C23×C4711yescharacteristic
471C4×C8C23×C4711yescharacteristic
472C4×C8C23×C4711yescharacteristic
473C24—41no—
474#41—42no—
475#41—42no—
476#41—81no—
477#41—81no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—41no—
481C2×Q8—42no—
482C2×Q8—81no—
483C2×Q8C2×D4×C4711yescharacteristic
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—41no—
491C2×D4—41no—
492C2×D4—41no—
493C2×D4—41no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—41no—
497C2×D4—81no—
498C2×D4—81no—
499C2×D4C2×D4×C4711yescharacteristic
500C2×D4C2×D4×C4711yescharacteristic
501C2×D4C2×D4×C4711yescharacteristic
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508Q16—42no—
509Q16—42no—
510Q16—81no—
511SD16—42no—
512SD16—42no—
513SD16D8×C4714yescomplemented
514D8—41no—
515D8—42no—
516D8—42no—
517D8—42no—
518D8—81no—
519D8—81no—
520M16—42no—
521M16—42no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
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⋊C4C2×D4×C4711yescharacteristic
540C4⋊C4C2×D4×C4711yescharacteristic
541C4⋊C4C2×D4×C4711yescharacteristic
542C4⋊C4C2×D4×C4711yescharacteristic
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—21no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C42—21no—
551C42C24×C4711yescharacteristic
552C23—21no—
553C23—21no—
554C23—21no—
555C23—41no—
556C23—41no—
557C23—82no—
558C23—82no—
559C23—161no—
560Q8—21no—
561Q8—41no—
562Q8—41no—
563Q8—41no—
564Q8—41no—
565Q8—82no—
566Q8C2×D8×C4712yes—
567D4—21no—
568D4—21no—
569D4—21no—
570D4—21no—
571D4—21no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—82no—
581D4—81no—
582D4—81no—
583D4—82no—
584D4—82no—
585D4—82no—
586D4—161no—
587D4C2×D8×C4712yes—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—82no—
602C2×C4—82no—
603C2×C4—82no—
604C2×C4C22×D4×C4711yescharacteristic
605C2×C4C22×D4×C4711yescharacteristic
606C2×C4H(5,𝔽2)×C4711yescharacteristic
607C8—21no—
608C8—21no—
609C8—21no—
610C8—41no—
611C8—41no—
612C8—41no—
613C8—41no—
614C8—41no—
615C8C2×D8×C4712yes—
616C22—22no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—164no—
632C22D42×C4711yescharacteristic
633C4—21no—
634C4—22no—
635C4—41no—
636C4—41no—
637C4—41no—
638C4—41no—
639C4—81no—
640C4—81no—
641C4C22×D8×C4711yescharacteristic
642C4C47×#57511yescharacteristic
643C4C47×#57611yescharacteristic
644C4C47×#57711yescharacteristic
645C2—42no—
646C2—81no—
647C2—81no—
648C2—161no—
649C2—161no—
650C2C47×#327511yescharacteristic
651C2D4×D8×C4711yescharacteristic
652C2C47×#329011yescharacteristic
subgroupG/H
center, socleC22×C47D42
commutator, Frattini, cosocleC42C24×C47
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×#3358C2semidirect
2. C47×#3294C2semidirect
3. C47×#3276C2semidirect
4. C47×#3274C2semidirect
5. C47×#1709C2semidirect
6. C47×#1689C2semidirect
7. C47×#1687C2semidirect
8. C47×#1682C2semidirect
9. C47×#1681C2semidirect
10. C47×#1641C2semidirect
11. C47×#1639C2semidirect
12. C47×#1627C2semidirect
13. C47×#1625C2semidirect
14. C47×#1589C2semidirect
15. C8×SD16×C47C2semidirect
19. D4×Q8×C47C22semidirect
22. C47×#494C22semidirect
27. C47×#486C22semidirect
28. C47×#486C22semidirect
36. C47×#462C22semidirect
42. C47×#459C22semidirect
48. C8×Q8×C47C22semidirect
53. C47×#436C22semidirect
56. C47×#335C22semidirect
57. C47×#334C22semidirect
58. C47×#332C22semidirect
59. C47×#332C22semidirect
61. C47×#331C22semidirect
62. C47×Q8⋊C8C22semidirect
65. C47×D4⋊C8C22semidirect
66. C82×C47C22semidirect
186. SD16×C47D8semidirect
289. #19886C47direct (N × H)
319. #3358C2×C47semidirect
320. #3294C2×C47semidirect
321. #3276C2×C47semidirect
322. #3274C2×C47semidirect
323. #1709C2×C47semidirect
324. #1689C2×C47semidirect
325. #1687C2×C47semidirect
326. #1682C2×C47semidirect
327. #1681C2×C47semidirect
328. #1641C2×C47semidirect
329. #1639C2×C47semidirect
330. #1627C2×C47semidirect
331. #1625C2×C47semidirect
332. #1589C2×C47semidirect
333. C8×SD16C2×C47semidirect
345. D4×Q8C22×C47semidirect
348. #494C22×C47semidirect
353. #486C22×C47semidirect
354. #486C22×C47semidirect
362. #462C22×C47semidirect
368. #459C22×C47semidirect
374. C8×Q8C22×C47semidirect
379. #436C22×C47semidirect
382. #335C22×C47semidirect
383. #334C22×C47semidirect
384. #332C22×C47semidirect
385. #332C22×C47semidirect
387. #331C22×C47semidirect
388. Q8⋊C8C22×C47semidirect
391. D4⋊C8C22×C47semidirect
392. C82C22×C47semidirect
393. C47#19886direct (N × H)
513. SD16D8×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#33582
C47×#32942
C47×#32762
C47×#32742
C47×#17092
C47×#16892
C47×#16872
C47×#16822
C47×#16812
C47×#16412
C47×#16392
C47×#16272
C47×#16252
C47×#15892
C8×SD16×C472
#1988647