Finite Group Databasebeta

← C47×#20022 #26059720

Subgroups — C47×#20022 #26059720

Order 12032.

768 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3330C211yesmaximal, characteristic, complemented
2C47×#3294C211yesmaximal, characteristic, complemented
3D4×D8×C47C211yesmaximal, characteristic, complemented
4C47×#3272C211yesmaximal, characteristic, complemented
5C47×#1717C211yesmaximal, characteristic, complemented
6C47×#1701C211yesmaximal, characteristic, complemented
7C47×#1687C211yesmaximal, characteristic, complemented
8C47×#1679C211yesmaximal, characteristic, complemented
9C47×#1665C211yesmaximal, characteristic, complemented
10C47×#1639C211yesmaximal, characteristic, complemented
11C47×#1639C211yesmaximal, characteristic, complemented
12C47×#1625C211yesmaximal, characteristic, complemented
13C47×#1625C211yesmaximal, characteristic, complemented
14C47×#1586C211yesmaximal, characteristic, complemented
15C47×#1586C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C47—21no—
17C22×D8×C47—21no—
18C47×#547C2211yescharacteristic, complemented
19C47×#547C2211yescharacteristic, complemented
20D42×C47C2211yescharacteristic
21D42×C47C2211yescharacteristic
22C47×#493C2211yescharacteristic
23C47×#492C2211yescharacteristic, complemented
24C47×#487C2211yescharacteristic, complemented
25C47×#486C2211yescharacteristic, complemented
26C47×#486C2211yescharacteristic, complemented
27C47×#486C2211yescharacteristic, complemented
28C47×#484—21no—
29C47×#480—21no—
30C47×#474C2211yescharacteristic
31C47×#474C2211yescharacteristic, complemented
32C47×#468—21no—
33C47×#468—21no—
34C47×#466—21no—
35C47×#466—21no—
36C47×#461C2211yescharacteristic
37C47×#461C2211yescharacteristic, complemented
38C47×#459C2211yescharacteristic
39C47×#459C2211yescharacteristic
40C47×#459C2211yescharacteristic, complemented
41C47×#459C2211yescharacteristic, complemented
42C47×#450—21no—
43C47×#449—21no—
44C47×#449—21no—
45C47×#447—21no—
46C47×#447—21no—
47C47×#447—21no—
48C4×D8×C47C2211yescharacteristic
49C4×D8×C47C2211yescharacteristic
50C47×#436C2211yescharacteristic, complemented
51C47×#436C2211yescharacteristic, complemented
52C8×D4×C47C2211yescharacteristic
53C8×D4×C47C2211yescharacteristic, complemented
54C47×#417—21no—
55C2×#102×C47—21no—
56C47×#334C2211yescharacteristic, complemented
57C47×#334C2211yescharacteristic, complemented
58C47×#332C2211yescharacteristic, complemented
59C47×#332C2211yescharacteristic, complemented
60C47×#331C2211yescharacteristic, complemented
61C47×#331C2211yescharacteristic, complemented
62C47×D4⋊C8C2211yescharacteristic
63C47×D4⋊C8C2211yescharacteristic, complemented
64C47×D4⋊C8C2211yescharacteristic, complemented
65C47×D4⋊C8C2211yescharacteristic, complemented
66C47×#322C2211yescharacteristic, complemented
67C2×#41×C47—21no—
68C2×#41×C47—21no—
69C22×D4×C47—21no—
70C22×D4×C47—21no—
71C22×D4×C47—21no—
72C22×D4×C47—21no—
73AGL(1,ℤ/8)×C47—44no—
74C2×SD16×C47—21no—
75C2×SD16×C47—21no—
76C2×SD16×C47—21no—
77C2×SD16×C47—21no—
78C2×D8×C47—21no—
79C2×D8×C47—21no—
80C2×D8×C47—21no—
81C2×D8×C47—21no—
82C2×D8×C47—21no—
83C2×D8×C47—21no—
84C2×D8×C47—44no—
85C2×D8×C47D411yescharacteristic
86C2×D8×C47D411yescharacteristic
87C2×M16×C47—21no—
88C2×M16×C47—21no—
89C22×C8×C47—21no—
90C22×C8×C47—21no—
91C4⋊Q8×C47C2311yescharacteristic
92C4⋊Q8×C47C2311yescharacteristic
93#127×C47C2311yescharacteristic
94#127×C47C2311yescharacteristic
95#123×C47—41no—
96#123×C47—41no—
97C22⋊Q8×C47—21no—
98C22⋊Q8×C47—21no—
99#121×C47—21no—
100#121×C47—21no—
101#121×C47—21no—
102#121×C47—21no—
103#121×C47—21no—
104#121×C47—21no—
105#120×C47—41no—
106#120×C47—41no—
107C4×D4×C47C2311yescharacteristic
108C4×D4×C47C2311yescharacteristic
109C4×D4×C47C2311yescharacteristic
110C4×D4×C47C2311yescharacteristic
111C2×C4⋊C4×C47—21no—
112C2×C4⋊C4×C47—21no—
113#107×C47—21no—
114#107×C47—21no—
115#107×C47D411yescharacteristic
116#107×C47D411yescharacteristic
117C4⋊C8×C47C2311yescharacteristic
118C4⋊C8×C47C2311yescharacteristic
119C4⋊C8×C47C2311yescharacteristic
120C4⋊C8×C47C2311yescharacteristic
121#103×C47—21no—
122#103×C47—21no—
123#103×C47—21no—
124#103×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—41no—
134#102×C47—41no—
135#102×C47D411yescharacteristic
136#102×C47D411yescharacteristic
137#102×C47D411yescharacteristic
138#102×C47D411yescharacteristic
139C22⋊C8×C47—21no—
140C22⋊C8×C47—21no—
141C22⋊C8×C47—21no—
142C22⋊C8×C47—21no—
143C4×C8×C47C2311yescharacteristic
144C4×C8×C47C2311yescharacteristic
145C4×C8×C47C2311yescharacteristic
146C24×C47—41no—
147C24×C47—41no—
148#41×C47—42no—
149#41×C47—42no—
150#41×C47—81no—
151#41×C47—81no—
152C2×Q8×C47—21no—
153C2×Q8×C47—21no—
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—41no—
169C2×D4×C47—41no—
170C2×D4×C47—81no—
171C2×D4×C47—81no—
172C2×D4×C47—81no—
173C2×D4×C47—81no—
174C2×D4×C47C2×D411yescharacteristic
175C2×D4×C47C2×D411yescharacteristic
176C2×D4×C47C2×D411yescharacteristic
177C2×D4×C47C2×D411yescharacteristic
178C22×C4×C47—21no—
179C22×C4×C47—21no—
180C22×C4×C47—21no—
181C22×C4×C47—21no—
182C22×C4×C47—41no—
183C22×C4×C47—41no—
184SD16×C47—42no—
185SD16×C47—42no—
186SD16×C47—81no—
187SD16×C47—81no—
188D8×C47—22no—
189D8×C47—22no—
190D8×C47—42no—
191D8×C47—42no—
192D8×C47—42no—
193D8×C47—42no—
194D8×C47—81no—
195D8×C47—81no—
196M16×C47—42no—
197M16×C47—81no—
198C2×C8×C47—21no—
199C2×C8×C47—21no—
200C2×C8×C47—21no—
201C2×C8×C47—21no—
202C2×C8×C47—21no—
203C2×C8×C47—42no—
204C2×C8×C47—81no—
205C2×C8×C47C2×D411yescharacteristic
206C2×C8×C47C2×D411yescharacteristic
207C2×C8×C47C2×D411yescharacteristic
208C2×C8×C47C2×D411yescharacteristic
209C4⋊C4×C47—21no—
210C4⋊C4×C47—21no—
211C4⋊C4×C47—21no—
212C4⋊C4×C47—21no—
213C4⋊C4×C47—41no—
214C4⋊C4×C47—41no—
215C4⋊C4×C47C2×D411yescharacteristic
216C4⋊C4×C47C2×D411yescharacteristic
217C4⋊C4×C47C2×D411yescharacteristic
218C4⋊C4×C47C2×D411yescharacteristic
219C22⋊C4×C47—21no—
220C22⋊C4×C47—21no—
221C22⋊C4×C47—21no—
222C22⋊C4×C47—21no—
223C22⋊C4×C47—41no—
224C22⋊C4×C47—41no—
225C22⋊C4×C47—41no—
226C22⋊C4×C47—41no—
227C42×C47C2411yescharacteristic
228C23×C47—21no—
229C23×C47—21no—
230C23×C47—21no—
231C23×C47—21no—
232C23×C47—41no—
233C23×C47—41no—
234C23×C47—82no—
235C23×C47—82no—
236C23×C47—82no—
237C23×C47—82no—
238C23×C47—161no—
239C23×C47—161no—
240Q8×C47—41no—
241Q8×C47—41no—
242Q8×C47—41no—
243Q8×C47—41no—
244D4×C47—21no—
245D4×C47—21no—
246D4×C47—21no—
247D4×C47—21no—
248D4×C47—21no—
249D4×C47—21no—
250D4×C47—41no—
251D4×C47—41no—
252D4×C47—41no—
253D4×C47—41no—
254D4×C47—41no—
255D4×C47—41no—
256D4×C47—41no—
257D4×C47—41no—
258D4×C47—81no—
259D4×C47—81no—
260D4×C47—82no—
261D4×C47—82no—
262D4×C47—82no—
263D4×C47—82no—
264D4×C47—82no—
265D4×C47—82no—
266D4×C47AGL(1,ℤ/8)12yes—
267D4×C47AGL(1,ℤ/8)12yescomplemented
268C2×C4×C47—21no—
269C2×C4×C47—21no—
270C2×C4×C47—21no—
271C2×C4×C47—21no—
272C2×C4×C47—41no—
273C2×C4×C47—41no—
274C2×C4×C47—41no—
275C2×C4×C47—41no—
276C2×C4×C47—41no—
277C2×C4×C47—41no—
278C2×C4×C47—41no—
279C2×C4×C47—41no—
280C2×C4×C47—41no—
281C2×C4×C47—41no—
282C2×C4×C47—82no—
283C2×C4×C47—82no—
284C2×C4×C47C22×D411yescharacteristic
285C2×C4×C47C22×D411yescharacteristic
286C2×C4×C47H(5,𝔽2)11yescharacteristic
287C8×C47—21no—
288C8×C47—21no—
289C8×C47—21no—
290C8×C47—21no—
291C8×C47—41no—
292C8×C47—41no—
293C8×C47—41no—
294C8×C47—41no—
295C8×C47—41no—
296#20022C4711yesmaximal, characteristic, direct product factor, Sylow
297C22×C47—22no—
298C22×C47—22no—
299C22×C47—41no—
300C22×C47—41no—
301C22×C47—41no—
302C22×C47—41no—
303C22×C47—41no—
304C22×C47—41no—
305C22×C47—41no—
306C22×C47—41no—
307C22×C47—41no—
308C22×C47—41no—
309C22×C47—81no—
310C22×C47—81no—
311C22×C47—81no—
312C22×C47—81no—
313C22×C47—81no—
314C22×C47—81no—
315C22×C47—164no—
316C22×C47—164no—
317C22×C47D4211yescharacteristic
318C4×C47—21no—
319C4×C47—41no—
320C4×C47—41no—
321C4×C47—41no—
322C4×C47—41no—
323C4×C47—81no—
324C4×C47—81no—
325C4×C47C2×AGL(1,ℤ/8)11yescharacteristic
326C4×C47C2×AGL(1,ℤ/8)11yescharacteristic
327C4×C47#57611yescharacteristic
328C4×C47#57611yescharacteristic
329#3330C2×C4711yescharacteristic, complemented
330#3294C2×C4711yescharacteristic, complemented
331D4×D8C2×C4711yescharacteristic, complemented
332#3272C2×C4711yescharacteristic, complemented
333#1717C2×C4711yescharacteristic, complemented
334#1701C2×C4711yescharacteristic, complemented
335#1687C2×C4711yescharacteristic, complemented
336#1679C2×C4711yescharacteristic, complemented
337#1665C2×C4711yescharacteristic, complemented
338#1639C2×C4711yescharacteristic, complemented
339#1639C2×C4711yescharacteristic, complemented
340#1625C2×C4711yescharacteristic, complemented
341#1625C2×C4711yescharacteristic, complemented
342#1586C2×C4711yescharacteristic, complemented
343#1586C2×C4711yescharacteristic, complemented
344C2×C47—42no—
345C2×C47—42no—
346C2×C47—81no—
347C2×C47—81no—
348C2×C47—161no—
349C2×C47—161no—
350C2×C47#326411yescharacteristic
351C2×C47#326411yescharacteristic
352C2×C47#329011yescharacteristic
353C2×AGL(1,ℤ/8)—21no—
354C22×D8—21no—
355#547C22×C4711yescharacteristic, complemented
356#547C22×C4711yescharacteristic, complemented
357D42C22×C4711yescharacteristic
358D42C22×C4711yescharacteristic
359#493C22×C4711yescharacteristic
360#492C22×C4711yescharacteristic, complemented
361#487C22×C4711yescharacteristic, complemented
362#486C22×C4711yescharacteristic, complemented
363#486C22×C4711yescharacteristic, complemented
364#486C22×C4711yescharacteristic, complemented
365#484—21no—
366#480—21no—
367#474C22×C4711yescharacteristic
368#474C22×C4711yescharacteristic, complemented
369#468—21no—
370#468—21no—
371#466—21no—
372#466—21no—
373#461C22×C4711yescharacteristic
374#461C22×C4711yescharacteristic, complemented
375#459C22×C4711yescharacteristic
376#459C22×C4711yescharacteristic
377#459C22×C4711yescharacteristic, complemented
378#459C22×C4711yescharacteristic, complemented
379#450—21no—
380#449—21no—
381#449—21no—
382#447—21no—
383#447—21no—
384#447—21no—
385C4×D8C22×C4711yescharacteristic
386C4×D8C22×C4711yescharacteristic
387#436C22×C4711yescharacteristic, complemented
388#436C22×C4711yescharacteristic, complemented
389C8×D4C22×C4711yescharacteristic
390C8×D4C22×C4711yescharacteristic, complemented
391#417—21no—
392C2×#102—21no—
393#334C22×C4711yescharacteristic, complemented
394#334C22×C4711yescharacteristic, complemented
395#332C22×C4711yescharacteristic, complemented
396#332C22×C4711yescharacteristic, complemented
397#331C22×C4711yescharacteristic, complemented
398#331C22×C4711yescharacteristic, complemented
399D4⋊C8C22×C4711yescharacteristic
400D4⋊C8C22×C4711yescharacteristic, complemented
401D4⋊C8C22×C4711yescharacteristic, complemented
402D4⋊C8C22×C4711yescharacteristic, complemented
403#322C22×C4711yescharacteristic, complemented
404C47#2002211yescharacteristic, direct product factor, Sylow
405C2×#41—21no—
406C2×#41—21no—
407C22×D4—21no—
408C22×D4—21no—
409C22×D4—21no—
410C22×D4—21no—
411AGL(1,ℤ/8)—44no—
412C2×SD16—21no—
413C2×SD16—21no—
414C2×SD16—21no—
415C2×SD16—21no—
416C2×D8—21no—
417C2×D8—21no—
418C2×D8—21no—
419C2×D8—21no—
420C2×D8—21no—
421C2×D8—21no—
422C2×D8—44no—
423C2×D8D4×C4711yescharacteristic
424C2×D8D4×C4711yescharacteristic
425C2×M16—21no—
426C2×M16—21no—
427C22×C8—21no—
428C22×C8—21no—
429C4⋊Q8C23×C4711yescharacteristic
430C4⋊Q8C23×C4711yescharacteristic
431#127C23×C4711yescharacteristic
432#127C23×C4711yescharacteristic
433#123—41no—
434#123—41no—
435C22⋊Q8—21no—
436C22⋊Q8—21no—
437#121—21no—
438#121—21no—
439#121—21no—
440#121—21no—
441#121—21no—
442#121—21no—
443#120—41no—
444#120—41no—
445C4×D4C23×C4711yescharacteristic
446C4×D4C23×C4711yescharacteristic
447C4×D4C23×C4711yescharacteristic
448C4×D4C23×C4711yescharacteristic
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451#107—21no—
452#107—21no—
453#107D4×C4711yescharacteristic
454#107D4×C4711yescharacteristic
455C4⋊C8C23×C4711yescharacteristic
456C4⋊C8C23×C4711yescharacteristic
457C4⋊C8C23×C4711yescharacteristic
458C4⋊C8C23×C4711yescharacteristic
459#103—21no—
460#103—21no—
461#103—21no—
462#103—21no—
463#102—21no—
464#102—21no—
465#102—21no—
466#102—21no—
467#102—21no—
468#102—21no—
469#102—21no—
470#102—21no—
471#102—41no—
472#102—41no—
473#102D4×C4711yescharacteristic
474#102D4×C4711yescharacteristic
475#102D4×C4711yescharacteristic
476#102D4×C4711yescharacteristic
477C22⋊C8—21no—
478C22⋊C8—21no—
479C22⋊C8—21no—
480C22⋊C8—21no—
481C4×C8C23×C4711yescharacteristic
482C4×C8C23×C4711yescharacteristic
483C4×C8C23×C4711yescharacteristic
484C24—41no—
485C24—41no—
486#41—42no—
487#41—42no—
488#41—81no—
489#41—81no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—41no—
499C2×D4—41no—
500C2×D4—41no—
501C2×D4—41no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—41no—
507C2×D4—41no—
508C2×D4—81no—
509C2×D4—81no—
510C2×D4—81no—
511C2×D4—81no—
512C2×D4C2×D4×C4711yescharacteristic
513C2×D4C2×D4×C4711yescharacteristic
514C2×D4C2×D4×C4711yescharacteristic
515C2×D4C2×D4×C4711yescharacteristic
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—41no—
521C22×C4—41no—
522SD16—42no—
523SD16—42no—
524SD16—81no—
525SD16—81no—
526D8—22no—
527D8—22no—
528D8—42no—
529D8—42no—
530D8—42no—
531D8—42no—
532D8—81no—
533D8—81no—
534M16—42no—
535M16—81no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—42no—
542C2×C8—81no—
543C2×C8C2×D4×C4711yescharacteristic
544C2×C8C2×D4×C4711yescharacteristic
545C2×C8C2×D4×C4711yescharacteristic
546C2×C8C2×D4×C4711yescharacteristic
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—41no—
552C4⋊C4—41no—
553C4⋊C4C2×D4×C4711yescharacteristic
554C4⋊C4C2×D4×C4711yescharacteristic
555C4⋊C4C2×D4×C4711yescharacteristic
556C4⋊C4C2×D4×C4711yescharacteristic
557C22⋊C4—21no—
558C22⋊C4—21no—
559C22⋊C4—21no—
560C22⋊C4—21no—
561C22⋊C4—41no—
562C22⋊C4—41no—
563C22⋊C4—41no—
564C22⋊C4—41no—
565C42C24×C4711yescharacteristic
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—41no—
571C23—41no—
572C23—82no—
573C23—82no—
574C23—82no—
575C23—82no—
576C23—161no—
577C23—161no—
578Q8—41no—
579Q8—41no—
580Q8—41no—
581Q8—41no—
582D4—21no—
583D4—21no—
584D4—21no—
585D4—21no—
586D4—21no—
587D4—21no—
588D4—41no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—41no—
593D4—41no—
594D4—41no—
595D4—41no—
596D4—81no—
597D4—81no—
598D4—82no—
599D4—82no—
600D4—82no—
601D4—82no—
602D4—82no—
603D4—82no—
604D4AGL(1,ℤ/8)×C4712yes—
605D4AGL(1,ℤ/8)×C4712yescomplemented
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—82no—
621C2×C4—82no—
622C2×C4C22×D4×C4711yescharacteristic
623C2×C4C22×D4×C4711yescharacteristic
624C2×C4H(5,𝔽2)×C4711yescharacteristic
625C8—21no—
626C8—21no—
627C8—21no—
628C8—21no—
629C8—41no—
630C8—41no—
631C8—41no—
632C8—41no—
633C8—41no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—41no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22—81no—
650C22—81no—
651C22—81no—
652C22—164no—
653C22—164no—
654C22D42×C4711yescharacteristic
655C4—21no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—81no—
661C4—81no—
662C4C2×AGL(1,ℤ/8)×C4711yescharacteristic
663C4C2×AGL(1,ℤ/8)×C4711yescharacteristic
664C4C47×#57611yescharacteristic
665C4C47×#57611yescharacteristic
666C2—42no—
667C2—42no—
668C2—81no—
669C2—81no—
670C2—161no—
671C2—161no—
672C2C47×#326411yescharacteristic
673C2C47×#326411yescharacteristic
674C2C47×#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×#3330C2semidirect
2. C47×#3294C2semidirect
3. D4×D8×C47C2semidirect
4. C47×#3272C2semidirect
5. C47×#1717C2semidirect
6. C47×#1701C2semidirect
7. C47×#1687C2semidirect
8. C47×#1679C2semidirect
9. C47×#1665C2semidirect
10. C47×#1639C2semidirect
11. C47×#1639C2semidirect
12. C47×#1625C2semidirect
13. C47×#1625C2semidirect
14. C47×#1586C2semidirect
15. C47×#1586C2semidirect
18. C47×#547C22semidirect
19. C47×#547C22semidirect
23. C47×#492C22semidirect
24. C47×#487C22semidirect
25. C47×#486C22semidirect
26. C47×#486C22semidirect
27. C47×#486C22semidirect
31. C47×#474C22semidirect
37. C47×#461C22semidirect
40. C47×#459C22semidirect
41. C47×#459C22semidirect
50. C47×#436C22semidirect
51. C47×#436C22semidirect
53. C8×D4×C47C22semidirect
56. C47×#334C22semidirect
57. C47×#334C22semidirect
58. C47×#332C22semidirect
59. C47×#332C22semidirect
60. C47×#331C22semidirect
61. C47×#331C22semidirect
63. C47×D4⋊C8C22semidirect
64. C47×D4⋊C8C22semidirect
65. C47×D4⋊C8C22semidirect
66. C47×#322C22semidirect
267. D4×C47AGL(1,ℤ/8)semidirect
296. #20022C47direct (N × H)
329. #3330C2×C47semidirect
330. #3294C2×C47semidirect
331. D4×D8C2×C47semidirect
332. #3272C2×C47semidirect
333. #1717C2×C47semidirect
334. #1701C2×C47semidirect
335. #1687C2×C47semidirect
336. #1679C2×C47semidirect
337. #1665C2×C47semidirect
338. #1639C2×C47semidirect
339. #1639C2×C47semidirect
340. #1625C2×C47semidirect
341. #1625C2×C47semidirect
342. #1586C2×C47semidirect
343. #1586C2×C47semidirect
355. #547C22×C47semidirect
356. #547C22×C47semidirect
360. #492C22×C47semidirect
361. #487C22×C47semidirect
362. #486C22×C47semidirect
363. #486C22×C47semidirect
364. #486C22×C47semidirect
368. #474C22×C47semidirect
374. #461C22×C47semidirect
377. #459C22×C47semidirect
378. #459C22×C47semidirect
387. #436C22×C47semidirect
388. #436C22×C47semidirect
390. C8×D4C22×C47semidirect
393. #334C22×C47semidirect
394. #334C22×C47semidirect
395. #332C22×C47semidirect
396. #332C22×C47semidirect
397. #331C22×C47semidirect
398. #331C22×C47semidirect
400. D4⋊C8C22×C47semidirect
401. D4⋊C8C22×C47semidirect
402. D4⋊C8C22×C47semidirect
403. #322C22×C47semidirect
404. C47#20022direct (N × H)
605. D4AGL(1,ℤ/8)×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#33302
C47×#32942
D4×D8×C472
C47×#32722
C47×#17172
C47×#17012
C47×#16872
C47×#16792
C47×#16652
C47×#16392
C47×#16252
C47×#15862
#2002247