Finite Group Databasebeta

← C47×#19970 #26059668

Subgroups — C47×#19970 #26059668

Order 12032.

752 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×#3358C211yesmaximal, characteristic, complemented
2C47×#3294C211yesmaximal, characteristic, complemented
3C47×#3284C211yesmaximal, characteristic, complemented
4D4×SD16×C47C211yesmaximal, characteristic, complemented
5C47×#1706C211yesmaximal, characteristic, complemented
6C47×#1682C211yesmaximal, characteristic, complemented
7C47×#1681C211yesmaximal, characteristic, complemented
8C47×#1665C211yesmaximal, characteristic, complemented
9C47×#1665C211yesmaximal, characteristic, complemented
10C47×#1649C211yesmaximal, characteristic, complemented
11C47×#1647C211yesmaximal, characteristic, complemented
12C47×#1621C211yesmaximal, characteristic, complemented
13C47×#1619C211yesmaximal, characteristic, complemented
14C8×SD16×C47C211yesmaximal, characteristic, complemented
15C8×D8×C47C211yesmaximal, characteristic, complemented
16C2×#135×C47—21no—
17C22×SD16×C47—21no—
18C47×#550C2211yescharacteristic, complemented
19D4×Q8×C47C2211yescharacteristic
20C47×#547C2211yescharacteristic
21D42×C47C2211yescharacteristic
22C47×#500C2211yescharacteristic, complemented
23C47×#493C2211yescharacteristic
24C47×#492C2211yescharacteristic
25C47×#492C2211yescharacteristic, complemented
26C47×#486—21no—
27C47×#486C2211yescharacteristic
28C47×#486C2211yescharacteristic, complemented
29C47×#480—21no—
30C47×#474—21no—
31C47×#474C2211yescharacteristic
32C47×#474C2211yescharacteristic, complemented
33C47×#466—21no—
34C47×#465—21no—
35C47×#465—21no—
36C47×#462C2211yescharacteristic, complemented
37C47×#461C2211yescharacteristic
38C47×#460C2211yescharacteristic
39C47×#459—21no—
40C47×#459C2211yescharacteristic
41C47×#459C2211yescharacteristic
42C47×#459C2211yescharacteristic
43C47×#452—21no—
44C47×#450—21no—
45C47×#449—21no—
46C47×#448—21no—
47C47×#447—21no—
48C8×Q8×C47C2211yescharacteristic, complemented
49C4×SD16×C47C2211yescharacteristic
50C4×D8×C47—21no—
51C4×D8×C47C2211yescharacteristic
52C8×D4×C47C2211yescharacteristic
53C8×D4×C47C2211yescharacteristic
54C8×D4×C47C2211yescharacteristic, complemented
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#135×C47—44no—
73C2×Q16×C47—21no—
74C2×SD16×C47—21no—
75C2×SD16×C47—21no—
76C2×SD16×C47—21no—
77C2×SD16×C47—21no—
78C2×SD16×C47—21no—
79C2×SD16×C47—21no—
80C2×SD16×C47—44no—
81C2×SD16×C47D411yescharacteristic
82C2×D8×C47—21no—
83C2×D8×C47—21no—
84C2×D8×C47—21no—
85C2×D8×C47—41no—
86C2×D8×C47D411yescharacteristic
87C22×C8×C47—21no—
88C22×C8×C47—21no—
89C22×C8×C47—21no—
90C4⋊Q8×C47—21no—
91C4⋊Q8×C47C2311yescharacteristic
92C4⋊Q8×C47C2311yescharacteristic
93#127×C47—21no—
94#127×C47C2311yescharacteristic
95#127×C47C2311yescharacteristic
96#123×C47—41no—
97C22⋊Q8×C47—21no—
98C22⋊Q8×C47—21no—
99C22⋊Q8×C47—41no—
100#121×C47—21no—
101#121×C47—21no—
102#121×C47—21no—
103#121×C47—21no—
104#121×C47—41no—
105#120×C47—41no—
106C4×Q8×C47C2311yescharacteristic
107C4×D4×C47—21no—
108C4×D4×C47—21no—
109C4×D4×C47C2311yescharacteristic
110C4×D4×C47C2311yescharacteristic
111C4×D4×C47C2311yescharacteristic
112C2×C4⋊C4×C47—21no—
113#107×C47—21no—
114#107×C47—21no—
115#107×C47—41no—
116#107×C47D411yescharacteristic
117#106×C47D411yescharacteristic
118C4⋊C8×C47—21no—
119C4⋊C8×C47C2311yescharacteristic
120C4⋊C8×C47C2311yescharacteristic
121C4⋊C8×C47C2311yescharacteristic
122C4⋊C8×C47C2311yescharacteristic
123#103×C47—21no—
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—21no—
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—
182SD16×C47—42no—
183SD16×C47—42no—
184SD16×C47—42no—
185SD16×C47—42no—
186SD16×C47—81no—
187SD16×C47—81no—
188SD16×C47D814yescomplemented
189D8×C47—22no—
190D8×C47—42no—
191D8×C47—42no—
192D8×C47—82no—
193D8×C47—81no—
194C2×C8×C47—21no—
195C2×C8×C47—21no—
196C2×C8×C47—21no—
197C2×C8×C47—21no—
198C2×C8×C47—21no—
199C2×C8×C47—42no—
200C2×C8×C47—42no—
201C2×C8×C47—81no—
202C2×C8×C47C2×D411yescharacteristic
203C2×C8×C47C2×D411yescharacteristic
204C2×C8×C47C2×D411yescharacteristic
205C2×C8×C47C2×D411yescharacteristic
206C4⋊C4×C47—21no—
207C4⋊C4×C47—21no—
208C4⋊C4×C47—21no—
209C4⋊C4×C47—21no—
210C4⋊C4×C47—21no—
211C4⋊C4×C47—41no—
212C4⋊C4×C47—41no—
213C4⋊C4×C47C2×D411yescharacteristic
214C4⋊C4×C47C2×D411yescharacteristic
215C4⋊C4×C47C2×D411yescharacteristic
216C4⋊C4×C47C2×D411yescharacteristic
217C22⋊C4×C47—21no—
218C22⋊C4×C47—21no—
219C22⋊C4×C47—21no—
220C22⋊C4×C47—41no—
221C22⋊C4×C47—41no—
222C22⋊C4×C47—41no—
223C22⋊C4×C47—41no—
224C42×C47—21no—
225C42×C47C2411yescharacteristic
226C23×C47—21no—
227C23×C47—21no—
228C23×C47—21no—
229C23×C47—41no—
230C23×C47—41no—
231C23×C47—82no—
232C23×C47—82no—
233C23×C47—161no—
234Q8×C47—21no—
235Q8×C47—41no—
236Q8×C47—41no—
237Q8×C47—41no—
238Q8×C47—41no—
239Q8×C47—82no—
240Q8×C47C2×D812yes—
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—
261D4×C47#13512yescomplemented
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—82no—
277C2×C4×C47—82no—
278C2×C4×C47C22×D411yescharacteristic
279C2×C4×C47C22×D411yescharacteristic
280C2×C4×C47H(5,𝔽2)11yescharacteristic
281C8×C47—22no—
282C8×C47—21no—
283C8×C47—21no—
284C8×C47—21no—
285C8×C47—41no—
286C8×C47—41no—
287C8×C47—41no—
288C8×C47—41no—
289C8×C47C2×D812yes—
290#19970C4711yesmaximal, characteristic, direct product factor, Sylow
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—41no—
300C22×C47—81no—
301C22×C47—81no—
302C22×C47—81no—
303C22×C47—81no—
304C22×C47—81no—
305C22×C47—81no—
306C22×C47—164no—
307C22×C47D4211yescharacteristic
308C4×C47—22no—
309C4×C47—21no—
310C4×C47—41no—
311C4×C47—41no—
312C4×C47—41no—
313C4×C47—41no—
314C4×C47—81no—
315C4×C47—81no—
316C4×C47C22×D811yescharacteristic
317C4×C47C2×#13511yescharacteristic
318C4×C47#57611yescharacteristic
319C4×C47#57711yescharacteristic
320#3358C2×C4711yescharacteristic, complemented
321#3294C2×C4711yescharacteristic, complemented
322#3284C2×C4711yescharacteristic, complemented
323D4×SD16C2×C4711yescharacteristic, complemented
324#1706C2×C4711yescharacteristic, complemented
325#1682C2×C4711yescharacteristic, complemented
326#1681C2×C4711yescharacteristic, complemented
327#1665C2×C4711yescharacteristic, complemented
328#1665C2×C4711yescharacteristic, complemented
329#1649C2×C4711yescharacteristic, complemented
330#1647C2×C4711yescharacteristic, complemented
331#1621C2×C4711yescharacteristic, complemented
332#1619C2×C4711yescharacteristic, complemented
333C8×SD16C2×C4711yescharacteristic, complemented
334C8×D8C2×C4711yescharacteristic, complemented
335C2×C47—42no—
336C2×C47—42no—
337C2×C47—81no—
338C2×C47—161no—
339C2×C47—161no—
340C2×C47D4×D811yescharacteristic
341C2×C47#328211yescharacteristic
342C2×C47#329111yescharacteristic
343C2×#135—21no—
344C22×SD16—21no—
345#550C22×C4711yescharacteristic, complemented
346D4×Q8C22×C4711yescharacteristic
347#547C22×C4711yescharacteristic
348D42C22×C4711yescharacteristic
349#500C22×C4711yescharacteristic, complemented
350#493C22×C4711yescharacteristic
351#492C22×C4711yescharacteristic
352#492C22×C4711yescharacteristic, complemented
353#486—21no—
354#486C22×C4711yescharacteristic
355#486C22×C4711yescharacteristic, complemented
356#480—21no—
357#474—21no—
358#474C22×C4711yescharacteristic
359#474C22×C4711yescharacteristic, complemented
360#466—21no—
361#465—21no—
362#465—21no—
363#462C22×C4711yescharacteristic, complemented
364#461C22×C4711yescharacteristic
365#460C22×C4711yescharacteristic
366#459—21no—
367#459C22×C4711yescharacteristic
368#459C22×C4711yescharacteristic
369#459C22×C4711yescharacteristic
370#452—21no—
371#450—21no—
372#449—21no—
373#448—21no—
374#447—21no—
375C8×Q8C22×C4711yescharacteristic, complemented
376C4×SD16C22×C4711yescharacteristic
377C4×D8—21no—
378C4×D8C22×C4711yescharacteristic
379C8×D4C22×C4711yescharacteristic
380C8×D4C22×C4711yescharacteristic
381C8×D4C22×C4711yescharacteristic, complemented
382C2×#102—21no—
383#335C22×C4711yescharacteristic, complemented
384#334C22×C4711yescharacteristic, complemented
385#332C22×C4711yescharacteristic, complemented
386#332C22×C4711yescharacteristic, complemented
387#331C22×C4711yescharacteristic
388#331C22×C4711yescharacteristic, complemented
389Q8⋊C8C22×C4711yescharacteristic, complemented
390D4⋊C8C22×C4711yescharacteristic
391D4⋊C8C22×C4711yescharacteristic
392D4⋊C8C22×C4711yescharacteristic, complemented
393C82C22×C4711yescharacteristic, complemented
394C47#1997011yescharacteristic, direct product factor, Sylow
395C2×#41—21no—
396C2×#41—21no—
397C22×Q8—21no—
398C22×D4—21no—
399C22×D4—21no—
400#135—44no—
401C2×Q16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16—21no—
406C2×SD16—21no—
407C2×SD16—21no—
408C2×SD16—44no—
409C2×SD16D4×C4711yescharacteristic
410C2×D8—21no—
411C2×D8—21no—
412C2×D8—21no—
413C2×D8—41no—
414C2×D8D4×C4711yescharacteristic
415C22×C8—21no—
416C22×C8—21no—
417C22×C8—21no—
418C4⋊Q8—21no—
419C4⋊Q8C23×C4711yescharacteristic
420C4⋊Q8C23×C4711yescharacteristic
421#127—21no—
422#127C23×C4711yescharacteristic
423#127C23×C4711yescharacteristic
424#123—41no—
425C22⋊Q8—21no—
426C22⋊Q8—21no—
427C22⋊Q8—41no—
428#121—21no—
429#121—21no—
430#121—21no—
431#121—21no—
432#121—41no—
433#120—41no—
434C4×Q8C23×C4711yescharacteristic
435C4×D4—21no—
436C4×D4—21no—
437C4×D4C23×C4711yescharacteristic
438C4×D4C23×C4711yescharacteristic
439C4×D4C23×C4711yescharacteristic
440C2×C4⋊C4—21no—
441#107—21no—
442#107—21no—
443#107—41no—
444#107D4×C4711yescharacteristic
445#106D4×C4711yescharacteristic
446C4⋊C8—21no—
447C4⋊C8C23×C4711yescharacteristic
448C4⋊C8C23×C4711yescharacteristic
449C4⋊C8C23×C4711yescharacteristic
450C4⋊C8C23×C4711yescharacteristic
451#103—21no—
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—21no—
464#102D4×C4711yescharacteristic
465#102D4×C4711yescharacteristic
466#102D4×C4711yescharacteristic
467C22⋊C8—21no—
468C22⋊C8—21no—
469C22⋊C8—21no—
470C4×C8—21no—
471C4×C8C23×C4711yescharacteristic
472C4×C8C23×C4711yescharacteristic
473C4×C8C23×C4711yescharacteristic
474C24—41no—
475#41—42no—
476#41—42no—
477#41—81no—
478#41—81no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—41no—
482C2×Q8—42no—
483C2×Q8—81no—
484C2×Q8C2×D4×C4711yescharacteristic
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—41no—
492C2×D4—41no—
493C2×D4—41no—
494C2×D4—41no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4—41no—
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—
508C22×C4—41no—
509Q16—42no—
510SD16—42no—
511SD16—42no—
512SD16—42no—
513SD16—42no—
514SD16—81no—
515SD16—81no—
516SD16D8×C4714yescomplemented
517D8—22no—
518D8—42no—
519D8—42no—
520D8—82no—
521D8—81no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—42no—
528C2×C8—42no—
529C2×C8—81no—
530C2×C8C2×D4×C4711yescharacteristic
531C2×C8C2×D4×C4711yescharacteristic
532C2×C8C2×D4×C4711yescharacteristic
533C2×C8C2×D4×C4711yescharacteristic
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—41no—
540C4⋊C4—41no—
541C4⋊C4C2×D4×C4711yescharacteristic
542C4⋊C4C2×D4×C4711yescharacteristic
543C4⋊C4C2×D4×C4711yescharacteristic
544C4⋊C4C2×D4×C4711yescharacteristic
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—21no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C22⋊C4—41no—
552C42—21no—
553C42C24×C4711yescharacteristic
554C23—21no—
555C23—21no—
556C23—21no—
557C23—41no—
558C23—41no—
559C23—82no—
560C23—82no—
561C23—161no—
562Q8—21no—
563Q8—41no—
564Q8—41no—
565Q8—41no—
566Q8—41no—
567Q8—82no—
568Q8C2×D8×C4712yes—
569D4—21no—
570D4—21no—
571D4—21no—
572D4—21no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—82no—
582D4—81no—
583D4—81no—
584D4—82no—
585D4—82no—
586D4—82no—
587D4—161no—
588D4C2×D8×C4712yes—
589D4#135×C4712yescomplemented
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—82no—
605C2×C4—82no—
606C2×C4C22×D4×C4711yescharacteristic
607C2×C4C22×D4×C4711yescharacteristic
608C2×C4H(5,𝔽2)×C4711yescharacteristic
609C8—22no—
610C8—21no—
611C8—21no—
612C8—21no—
613C8—41no—
614C8—41no—
615C8—41no—
616C8—41no—
617C8C2×D8×C4712yes—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—164no—
634C22D42×C4711yescharacteristic
635C4—21no—
636C4—22no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—81no—
642C4—81no—
643C4C22×D8×C4711yescharacteristic
644C4C2×#135×C4711yescharacteristic
645C4C47×#57611yescharacteristic
646C4C47×#57711yescharacteristic
647C2—42no—
648C2—42no—
649C2—81no—
650C2—161no—
651C2—161no—
652C2D4×D8×C4711yescharacteristic
653C2C47×#328211yescharacteristic
654C2C47×#329111yescharacteristic
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×#3284C2semidirect
4. D4×SD16×C47C2semidirect
5. C47×#1706C2semidirect
6. C47×#1682C2semidirect
7. C47×#1681C2semidirect
8. C47×#1665C2semidirect
9. C47×#1665C2semidirect
10. C47×#1649C2semidirect
11. C47×#1647C2semidirect
12. C47×#1621C2semidirect
13. C47×#1619C2semidirect
14. C8×SD16×C47C2semidirect
15. C8×D8×C47C2semidirect
18. C47×#550C22semidirect
22. C47×#500C22semidirect
25. C47×#492C22semidirect
28. C47×#486C22semidirect
32. C47×#474C22semidirect
36. C47×#462C22semidirect
48. C8×Q8×C47C22semidirect
54. C8×D4×C47C22semidirect
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
188. SD16×C47D8semidirect
261. D4×C47#135semidirect
290. #19970C47direct (N × H)
320. #3358C2×C47semidirect
321. #3294C2×C47semidirect
322. #3284C2×C47semidirect
323. D4×SD16C2×C47semidirect
324. #1706C2×C47semidirect
325. #1682C2×C47semidirect
326. #1681C2×C47semidirect
327. #1665C2×C47semidirect
328. #1665C2×C47semidirect
329. #1649C2×C47semidirect
330. #1647C2×C47semidirect
331. #1621C2×C47semidirect
332. #1619C2×C47semidirect
333. C8×SD16C2×C47semidirect
334. C8×D8C2×C47semidirect
345. #550C22×C47semidirect
349. #500C22×C47semidirect
352. #492C22×C47semidirect
355. #486C22×C47semidirect
359. #474C22×C47semidirect
363. #462C22×C47semidirect
375. C8×Q8C22×C47semidirect
381. C8×D4C22×C47semidirect
383. #335C22×C47semidirect
384. #334C22×C47semidirect
385. #332C22×C47semidirect
386. #332C22×C47semidirect
388. #331C22×C47semidirect
389. Q8⋊C8C22×C47semidirect
392. D4⋊C8C22×C47semidirect
393. C82C22×C47semidirect
394. C47#19970direct (N × H)
516. SD16D8×C47semidirect
589. D4#135×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×#32842
D4×SD16×C472
C47×#17062
C47×#16822
C47×#16812
C47×#16652
C47×#16492
C47×#16472
C47×#16212
C47×#16192
C8×SD16×C472
C8×D8×C472
#1997047