Finite Group Databasebeta

← C47×#19756 #26059454

Subgroups — C47×#19756 #26059454

Order 12032.

808 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3358C211yesmaximal, characteristic, complemented
2D4×SD16×C47C211yesmaximal, characteristic, complemented
3D4×D8×C47C211yesmaximal, characteristic, complemented
4C47×#3274C211yesmaximal, characteristic, complemented
5C47×#1721C211yesmaximal, characteristic, complemented
6C47×#1685C211yesmaximal, characteristic, complemented
7C47×#1681C211yesmaximal, characteristic, complemented
8C47×#1668C211yesmaximal, characteristic, complemented
9C47×#1667C211yesmaximal, characteristic, complemented
10C47×#1639C211yesmaximal, characteristic, complemented
11C47×#1627C211yesmaximal, characteristic, complemented
12C47×#1621C211yesmaximal, characteristic, complemented
13C47×#1619C211yesmaximal, characteristic, complemented
14C47×#1581C211yesmaximal, characteristic, complemented
15C47×SD16⋊C8C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C47—21no—
17C22×SD16×C47—21no—
18C22×D8×C47—21no—
19C47×#550C2211yescharacteristic, complemented
20D4×Q8×C47C2211yescharacteristic, complemented
21D42×C47C2211yescharacteristic
22D42×C47C2211yescharacteristic
23C47×#493C2211yescharacteristic
24C47×#493C2211yescharacteristic, complemented
25C47×#493C2211yescharacteristic, complemented
26C47×#492C2211yescharacteristic, complemented
27C47×#486—21no—
28C47×#486C2211yescharacteristic, complemented
29C47×#486C2211yescharacteristic, complemented
30C47×#474—21no—
31C47×#474C2211yescharacteristic, complemented
32C47×#469—21no—
33C47×#466—21no—
34C47×#465—21no—
35C47×#461C2211yescharacteristic
36C47×#460C2211yescharacteristic, complemented
37C47×#460C2211yescharacteristic, complemented
38C47×#459—21no—
39C47×#459C2211yescharacteristic
40C47×#459C2211yescharacteristic
41C47×#459C2211yescharacteristic
42C47×#459C2211yescharacteristic, complemented
43C47×#450—21no—
44C47×#449—21no—
45C47×#448—21no—
46C47×#447—21no—
47C47×#447—21no—
48C47×#447—21no—
49C8×Q8×C47C2211yescharacteristic, complemented
50C4×SD16×C47C2211yescharacteristic
51C4×D8×C47—21no—
52C4×D8×C47C2211yescharacteristic
53C47×#436C2211yescharacteristic, complemented
54C8×D4×C47C2211yescharacteristic
55C8×D4×C47C2211yescharacteristic, complemented
56C47×#335C2211yescharacteristic, complemented
57C47×#335C2211yescharacteristic, complemented
58C47×#332C2211yescharacteristic, complemented
59C47×#331C2211yescharacteristic, 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
67C2×#41×C47—21no—
68C22×Q8×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×SD16×C47—21no—
79C2×SD16×C47—44no—
80C2×SD16×C47D411yescharacteristic
81C2×D8×C47—21no—
82C2×D8×C47—21no—
83C2×D8×C47—21no—
84C2×D8×C47—21no—
85C2×D8×C47—21no—
86C2×D8×C47—21no—
87C2×D8×C47—21no—
88C2×D8×C47—21no—
89C2×D8×C47—41no—
90C2×D8×C47—44no—
91C2×D8×C47D411yescharacteristic
92C2×M16×C47—21no—
93C22×C8×C47—21no—
94C22×C8×C47—21no—
95C4⋊Q8×C47—21no—
96C4⋊Q8×C47C2311yescharacteristic
97#127×C47—21no—
98#127×C47C2311yescharacteristic
99#127×C47C2311yescharacteristic
100#127×C47C2311yescharacteristic
101C22⋊Q8×C47—21no—
102C22⋊Q8×C47—41no—
103#121×C47—21no—
104#121×C47—21no—
105#121×C47—21no—
106#121×C47—21no—
107#121×C47—21no—
108#121×C47—41no—
109#120×C47—41no—
110#120×C47—41no—
111C4×Q8×C47C2311yescharacteristic
112C4×D4×C47—21no—
113C4×D4×C47—21no—
114C4×D4×C47C2311yescharacteristic
115C4×D4×C47C2311yescharacteristic
116C4×D4×C47C2311yescharacteristic
117#107×C47—21no—
118#107×C47D411yescharacteristic
119#106×C47D411yescharacteristic
120C4⋊C8×C47—21no—
121C4⋊C8×C47C2311yescharacteristic
122C4⋊C8×C47C2311yescharacteristic
123C4⋊C8×C47C2311yescharacteristic
124C4⋊C8×C47C2311yescharacteristic
125#103×C47—21no—
126#103×C47D411yescharacteristic
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×C47—41no—
137#102×C47D411yescharacteristic
138#102×C47D411yescharacteristic
139#102×C47D411yescharacteristic
140C22⋊C8×C47—21no—
141C22⋊C8×C47—21no—
142C22⋊C8×C47—21no—
143C4×C8×C47—21no—
144C4×C8×C47C2311yescharacteristic
145C4×C8×C47C2311yescharacteristic
146C4×C8×C47C2311yescharacteristic
147C24×C47—41no—
148C24×C47—41no—
149#41×C47—42no—
150#41×C47—81no—
151C2×Q8×C47—21no—
152C2×Q8×C47—41no—
153C2×Q8×C47—42no—
154C2×Q8×C47—81no—
155C2×Q8×C47C2×D411yescharacteristic
156C2×D4×C47—21no—
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—21no—
164C2×D4×C47—21no—
165C2×D4×C47—41no—
166C2×D4×C47—41no—
167C2×D4×C47—41no—
168C2×D4×C47—41no—
169C2×D4×C47—41no—
170C2×D4×C47—41no—
171C2×D4×C47—42no—
172C2×D4×C47—42no—
173C2×D4×C47—42no—
174C2×D4×C47—42no—
175C2×D4×C47—81no—
176C2×D4×C47—81no—
177C2×D4×C47—81no—
178C2×D4×C47—81no—
179C2×D4×C47C2×D411yescharacteristic
180C2×D4×C47C2×D411yescharacteristic
181C2×D4×C47C2×D411yescharacteristic
182C22×C4×C47—21no—
183C22×C4×C47—21no—
184C22×C4×C47—21no—
185C22×C4×C47—41no—
186C22×C4×C47—41no—
187SD16×C47—42no—
188SD16×C47—42no—
189SD16×C47—42no—
190SD16×C47—42no—
191SD16×C47—81no—
192SD16×C47D814yescomplemented
193D8×C47—22no—
194D8×C47—42no—
195D8×C47—42no—
196D8×C47—42no—
197D8×C47—42no—
198D8×C47—42no—
199D8×C47—42no—
200D8×C47—81no—
201D8×C47—81no—
202D8×C47—82no—
203M16×C47—42no—
204C2×C8×C47—21no—
205C2×C8×C47—21no—
206C2×C8×C47—21no—
207C2×C8×C47—21no—
208C2×C8×C47—21no—
209C2×C8×C47—42no—
210C2×C8×C47—42no—
211C2×C8×C47C2×D411yescharacteristic
212C2×C8×C47C2×D411yescharacteristic
213C2×C8×C47C2×D411yescharacteristic
214C2×C8×C47C2×D411yescharacteristic
215C4⋊C4×C47—21no—
216C4⋊C4×C47—21no—
217C4⋊C4×C47—21no—
218C4⋊C4×C47—41no—
219C4⋊C4×C47C2×D411yescharacteristic
220C4⋊C4×C47C2×D411yescharacteristic
221C4⋊C4×C47C2×D411yescharacteristic
222C4⋊C4×C47C2×D411yescharacteristic
223C22⋊C4×C47—21no—
224C22⋊C4×C47—21no—
225C22⋊C4×C47—21no—
226C22⋊C4×C47—41no—
227C22⋊C4×C47—41no—
228C22⋊C4×C47—41no—
229C22⋊C4×C47—41no—
230C42×C47—21no—
231C42×C47C2411yescharacteristic
232C23×C47—21no—
233C23×C47—21no—
234C23×C47—21no—
235C23×C47—41no—
236C23×C47—41no—
237C23×C47—41no—
238C23×C47—82no—
239C23×C47—82no—
240C23×C47—82no—
241C23×C47—82no—
242C23×C47—161no—
243C23×C47—161no—
244Q8×C47—21no—
245Q8×C47—41no—
246Q8×C47—41no—
247Q8×C47—82no—
248Q8×C47C2×D812yescomplemented
249D4×C47—21no—
250D4×C47—21no—
251D4×C47—21no—
252D4×C47—21no—
253D4×C47—41no—
254D4×C47—41no—
255D4×C47—41no—
256D4×C47—41no—
257D4×C47—41no—
258D4×C47—41no—
259D4×C47—41no—
260D4×C47—41no—
261D4×C47—41no—
262D4×C47—41no—
263D4×C47—41no—
264D4×C47—41no—
265D4×C47—82no—
266D4×C47—81no—
267D4×C47—81no—
268D4×C47—81no—
269D4×C47—82no—
270D4×C47—82no—
271D4×C47—82no—
272D4×C47—82no—
273D4×C47—161no—
274D4×C47C2×D812yes—
275D4×C47AGL(1,ℤ/8)12yescomplemented
276C2×C4×C47—21no—
277C2×C4×C47—21no—
278C2×C4×C47—21no—
279C2×C4×C47—21no—
280C2×C4×C47—21no—
281C2×C4×C47—41no—
282C2×C4×C47—41no—
283C2×C4×C47—41no—
284C2×C4×C47—41no—
285C2×C4×C47—41no—
286C2×C4×C47—41no—
287C2×C4×C47—41no—
288C2×C4×C47—82no—
289C2×C4×C47—82no—
290C2×C4×C47C22×D411yescharacteristic
291C2×C4×C47C22×D411yescharacteristic
292C2×C4×C47H(5,𝔽2)11yescharacteristic
293C8×C47—21no—
294C8×C47—21no—
295C8×C47—21no—
296C8×C47—41no—
297C8×C47—41no—
298C8×C47—41no—
299C8×C47—41no—
300C8×C47—41no—
301C8×C47C2×D812yescomplemented
302#19756C4711yesmaximal, characteristic, direct product factor, Sylow
303C22×C47—22no—
304C22×C47—22no—
305C22×C47—41no—
306C22×C47—41no—
307C22×C47—41no—
308C22×C47—41no—
309C22×C47—41no—
310C22×C47—41no—
311C22×C47—41no—
312C22×C47—81no—
313C22×C47—81no—
314C22×C47—81no—
315C22×C47—81no—
316C22×C47—81no—
317C22×C47—81no—
318C22×C47—81no—
319C22×C47—81no—
320C22×C47—81no—
321C22×C47—164no—
322C22×C47—164no—
323C22×C47D4211yescharacteristic
324C4×C47—22no—
325C4×C47—21no—
326C4×C47—41no—
327C4×C47—41no—
328C4×C47—41no—
329C4×C47—41no—
330C4×C47—81no—
331C4×C47C22×D811yescharacteristic
332C4×C47C2×AGL(1,ℤ/8)11yescharacteristic
333C4×C47#57611yescharacteristic
334C4×C47#57711yescharacteristic
335#3358C2×C4711yescharacteristic, complemented
336D4×SD16C2×C4711yescharacteristic, complemented
337D4×D8C2×C4711yescharacteristic, complemented
338#3274C2×C4711yescharacteristic, complemented
339#1721C2×C4711yescharacteristic, complemented
340#1685C2×C4711yescharacteristic, complemented
341#1681C2×C4711yescharacteristic, complemented
342#1668C2×C4711yescharacteristic, complemented
343#1667C2×C4711yescharacteristic, complemented
344#1639C2×C4711yescharacteristic, complemented
345#1627C2×C4711yescharacteristic, complemented
346#1621C2×C4711yescharacteristic, complemented
347#1619C2×C4711yescharacteristic, complemented
348#1581C2×C4711yescharacteristic, complemented
349SD16⋊C8C2×C4711yescharacteristic, complemented
350C2×C47—42no—
351C2×C47—42no—
352C2×C47—81no—
353C2×C47—161no—
354C2×C47—161no—
355C2×C47—161no—
356C2×C47#326511yescharacteristic
357C2×C47D4×D811yescharacteristic
358C2×C47#328811yescharacteristic
359C2×AGL(1,ℤ/8)—21no—
360C22×SD16—21no—
361C22×D8—21no—
362#550C22×C4711yescharacteristic, complemented
363D4×Q8C22×C4711yescharacteristic, complemented
364D42C22×C4711yescharacteristic
365D42C22×C4711yescharacteristic
366#493C22×C4711yescharacteristic
367#493C22×C4711yescharacteristic, complemented
368#493C22×C4711yescharacteristic, complemented
369#492C22×C4711yescharacteristic, complemented
370#486—21no—
371#486C22×C4711yescharacteristic, complemented
372#486C22×C4711yescharacteristic, complemented
373#474—21no—
374#474C22×C4711yescharacteristic, complemented
375#469—21no—
376#466—21no—
377#465—21no—
378#461C22×C4711yescharacteristic
379#460C22×C4711yescharacteristic, complemented
380#460C22×C4711yescharacteristic, complemented
381#459—21no—
382#459C22×C4711yescharacteristic
383#459C22×C4711yescharacteristic
384#459C22×C4711yescharacteristic
385#459C22×C4711yescharacteristic, complemented
386#450—21no—
387#449—21no—
388#448—21no—
389#447—21no—
390#447—21no—
391#447—21no—
392C8×Q8C22×C4711yescharacteristic, complemented
393C4×SD16C22×C4711yescharacteristic
394C4×D8—21no—
395C4×D8C22×C4711yescharacteristic
396#436C22×C4711yescharacteristic, complemented
397C8×D4C22×C4711yescharacteristic
398C8×D4C22×C4711yescharacteristic, complemented
399#335C22×C4711yescharacteristic, complemented
400#335C22×C4711yescharacteristic, complemented
401#332C22×C4711yescharacteristic, complemented
402#331C22×C4711yescharacteristic, complemented
403#331C22×C4711yescharacteristic, complemented
404#331C22×C4711yescharacteristic, complemented
405Q8⋊C8C22×C4711yescharacteristic, complemented
406D4⋊C8C22×C4711yescharacteristic
407D4⋊C8C22×C4711yescharacteristic, complemented
408D4⋊C8C22×C4711yescharacteristic, complemented
409#322C22×C4711yescharacteristic, complemented
410C47#1975611yescharacteristic, direct product factor, Sylow
411C2×#41—21no—
412C22×Q8—21no—
413C22×D4—21no—
414C22×D4—21no—
415C22×D4—21no—
416C22×D4—21no—
417AGL(1,ℤ/8)—44no—
418C2×SD16—21no—
419C2×SD16—21no—
420C2×SD16—21no—
421C2×SD16—21no—
422C2×SD16—21no—
423C2×SD16—44no—
424C2×SD16D4×C4711yescharacteristic
425C2×D8—21no—
426C2×D8—21no—
427C2×D8—21no—
428C2×D8—21no—
429C2×D8—21no—
430C2×D8—21no—
431C2×D8—21no—
432C2×D8—21no—
433C2×D8—41no—
434C2×D8—44no—
435C2×D8D4×C4711yescharacteristic
436C2×M16—21no—
437C22×C8—21no—
438C22×C8—21no—
439C4⋊Q8—21no—
440C4⋊Q8C23×C4711yescharacteristic
441#127—21no—
442#127C23×C4711yescharacteristic
443#127C23×C4711yescharacteristic
444#127C23×C4711yescharacteristic
445C22⋊Q8—21no—
446C22⋊Q8—41no—
447#121—21no—
448#121—21no—
449#121—21no—
450#121—21no—
451#121—21no—
452#121—41no—
453#120—41no—
454#120—41no—
455C4×Q8C23×C4711yescharacteristic
456C4×D4—21no—
457C4×D4—21no—
458C4×D4C23×C4711yescharacteristic
459C4×D4C23×C4711yescharacteristic
460C4×D4C23×C4711yescharacteristic
461#107—21no—
462#107D4×C4711yescharacteristic
463#106D4×C4711yescharacteristic
464C4⋊C8—21no—
465C4⋊C8C23×C4711yescharacteristic
466C4⋊C8C23×C4711yescharacteristic
467C4⋊C8C23×C4711yescharacteristic
468C4⋊C8C23×C4711yescharacteristic
469#103—21no—
470#103D4×C4711yescharacteristic
471#102—21no—
472#102—21no—
473#102—21no—
474#102—21no—
475#102—21no—
476#102—21no—
477#102—21no—
478#102—21no—
479#102—21no—
480#102—41no—
481#102D4×C4711yescharacteristic
482#102D4×C4711yescharacteristic
483#102D4×C4711yescharacteristic
484C22⋊C8—21no—
485C22⋊C8—21no—
486C22⋊C8—21no—
487C4×C8—21no—
488C4×C8C23×C4711yescharacteristic
489C4×C8C23×C4711yescharacteristic
490C4×C8C23×C4711yescharacteristic
491C24—41no—
492C24—41no—
493#41—42no—
494#41—81no—
495C2×Q8—21no—
496C2×Q8—41no—
497C2×Q8—42no—
498C2×Q8—81no—
499C2×Q8C2×D4×C4711yescharacteristic
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—41no—
510C2×D4—41no—
511C2×D4—41no—
512C2×D4—41no—
513C2×D4—41no—
514C2×D4—41no—
515C2×D4—42no—
516C2×D4—42no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—81no—
520C2×D4—81no—
521C2×D4—81no—
522C2×D4—81no—
523C2×D4C2×D4×C4711yescharacteristic
524C2×D4C2×D4×C4711yescharacteristic
525C2×D4C2×D4×C4711yescharacteristic
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—41no—
530C22×C4—41no—
531SD16—42no—
532SD16—42no—
533SD16—42no—
534SD16—42no—
535SD16—81no—
536SD16D8×C4714yescomplemented
537D8—22no—
538D8—42no—
539D8—42no—
540D8—42no—
541D8—42no—
542D8—42no—
543D8—42no—
544D8—81no—
545D8—81no—
546D8—82no—
547M16—42no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—42no—
554C2×C8—42no—
555C2×C8C2×D4×C4711yescharacteristic
556C2×C8C2×D4×C4711yescharacteristic
557C2×C8C2×D4×C4711yescharacteristic
558C2×C8C2×D4×C4711yescharacteristic
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—41no—
563C4⋊C4C2×D4×C4711yescharacteristic
564C4⋊C4C2×D4×C4711yescharacteristic
565C4⋊C4C2×D4×C4711yescharacteristic
566C4⋊C4C2×D4×C4711yescharacteristic
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C22⋊C4—41no—
571C22⋊C4—41no—
572C22⋊C4—41no—
573C22⋊C4—41no—
574C42—21no—
575C42C24×C4711yescharacteristic
576C23—21no—
577C23—21no—
578C23—21no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—82no—
583C23—82no—
584C23—82no—
585C23—82no—
586C23—161no—
587C23—161no—
588Q8—21no—
589Q8—41no—
590Q8—41no—
591Q8—82no—
592Q8C2×D8×C4712yescomplemented
593D4—21no—
594D4—21no—
595D4—21no—
596D4—21no—
597D4—41no—
598D4—41no—
599D4—41no—
600D4—41no—
601D4—41no—
602D4—41no—
603D4—41no—
604D4—41no—
605D4—41no—
606D4—41no—
607D4—41no—
608D4—41no—
609D4—82no—
610D4—81no—
611D4—81no—
612D4—81no—
613D4—82no—
614D4—82no—
615D4—82no—
616D4—82no—
617D4—161no—
618D4C2×D8×C4712yes—
619D4AGL(1,ℤ/8)×C4712yescomplemented
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—82no—
633C2×C4—82no—
634C2×C4C22×D4×C4711yescharacteristic
635C2×C4C22×D4×C4711yescharacteristic
636C2×C4H(5,𝔽2)×C4711yescharacteristic
637C8—21no—
638C8—21no—
639C8—21no—
640C8—41no—
641C8—41no—
642C8—41no—
643C8—41no—
644C8—41no—
645C8C2×D8×C4712yescomplemented
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—164no—
665C22—164no—
666C22D42×C4711yescharacteristic
667C4—21no—
668C4—22no—
669C4—41no—
670C4—41no—
671C4—41no—
672C4—41no—
673C4—81no—
674C4C22×D8×C4711yescharacteristic
675C4C2×AGL(1,ℤ/8)×C4711yescharacteristic
676C4C47×#57611yescharacteristic
677C4C47×#57711yescharacteristic
678C2—42no—
679C2—42no—
680C2—81no—
681C2—161no—
682C2—161no—
683C2—161no—
684C2C47×#326511yescharacteristic
685C2D4×D8×C4711yescharacteristic
686C2C47×#328811yescharacteristic
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. D4×SD16×C47C2semidirect
3. D4×D8×C47C2semidirect
4. C47×#3274C2semidirect
5. C47×#1721C2semidirect
6. C47×#1685C2semidirect
7. C47×#1681C2semidirect
8. C47×#1668C2semidirect
9. C47×#1667C2semidirect
10. C47×#1639C2semidirect
11. C47×#1627C2semidirect
12. C47×#1621C2semidirect
13. C47×#1619C2semidirect
14. C47×#1581C2semidirect
15. C47×SD16⋊C8C2semidirect
19. C47×#550C22semidirect
20. D4×Q8×C47C22semidirect
24. C47×#493C22semidirect
25. C47×#493C22semidirect
26. C47×#492C22semidirect
28. C47×#486C22semidirect
29. C47×#486C22semidirect
31. C47×#474C22semidirect
36. C47×#460C22semidirect
37. C47×#460C22semidirect
42. C47×#459C22semidirect
49. C8×Q8×C47C22semidirect
53. C47×#436C22semidirect
55. C8×D4×C47C22semidirect
56. C47×#335C22semidirect
57. C47×#335C22semidirect
58. C47×#332C22semidirect
59. C47×#331C22semidirect
60. C47×#331C22semidirect
61. C47×#331C22semidirect
62. C47×Q8⋊C8C22semidirect
64. C47×D4⋊C8C22semidirect
65. C47×D4⋊C8C22semidirect
66. C47×#322C22semidirect
192. SD16×C47D8semidirect
248. Q8×C47C2×D8semidirect
275. D4×C47AGL(1,ℤ/8)semidirect
301. C8×C47C2×D8semidirect
302. #19756C47direct (N × H)
335. #3358C2×C47semidirect
336. D4×SD16C2×C47semidirect
337. D4×D8C2×C47semidirect
338. #3274C2×C47semidirect
339. #1721C2×C47semidirect
340. #1685C2×C47semidirect
341. #1681C2×C47semidirect
342. #1668C2×C47semidirect
343. #1667C2×C47semidirect
344. #1639C2×C47semidirect
345. #1627C2×C47semidirect
346. #1621C2×C47semidirect
347. #1619C2×C47semidirect
348. #1581C2×C47semidirect
349. SD16⋊C8C2×C47semidirect
362. #550C22×C47semidirect
363. D4×Q8C22×C47semidirect
367. #493C22×C47semidirect
368. #493C22×C47semidirect
369. #492C22×C47semidirect
371. #486C22×C47semidirect
372. #486C22×C47semidirect
374. #474C22×C47semidirect
379. #460C22×C47semidirect
380. #460C22×C47semidirect
385. #459C22×C47semidirect
392. C8×Q8C22×C47semidirect
396. #436C22×C47semidirect
398. C8×D4C22×C47semidirect
399. #335C22×C47semidirect
400. #335C22×C47semidirect
401. #332C22×C47semidirect
402. #331C22×C47semidirect
403. #331C22×C47semidirect
404. #331C22×C47semidirect
405. Q8⋊C8C22×C47semidirect
407. D4⋊C8C22×C47semidirect
408. D4⋊C8C22×C47semidirect
409. #322C22×C47semidirect
410. C47#19756direct (N × H)
536. SD16D8×C47semidirect
592. Q8C2×D8×C47semidirect
619. D4AGL(1,ℤ/8)×C47semidirect
645. C8C2×D8×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#33582
D4×SD16×C472
D4×D8×C472
C47×#32742
C47×#17212
C47×#16852
C47×#16812
C47×#16682
C47×#16672
C47×#16392
C47×#16272
C47×#16212
C47×#16192
C47×#15812
C47×SD16⋊C82
#1975647