Finite Group Databasebeta

← C47×#19890 #26059588

Subgroups — C47×#19890 #26059588

Order 12032.

718 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3384C211yesmaximal, characteristic, complemented
2C47×#3335C211yesmaximal, characteristic, complemented
3D4×SD16×C47C211yesmaximal, characteristic, complemented
4C47×#3272C211yesmaximal, characteristic
5C47×#1705C211yesmaximal, characteristic, complemented
6C47×#1691C211yesmaximal, characteristic, complemented
7C47×#1686C211yesmaximal, characteristic, complemented
8C47×#1671C211yesmaximal, characteristic, complemented
9C47×#1665C211yesmaximal, characteristic, complemented
10C47×#1654C211yesmaximal, characteristic, complemented
11C47×#1651C211yesmaximal, characteristic, complemented
12C47×#1629C211yesmaximal, characteristic, complemented
13C47×#1622C211yesmaximal, characteristic, complemented
14C47×#1590C211yesmaximal, characteristic, complemented
15C8×D8×C47C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C47—21no—
17C22×SD16×C47—21no—
18C47×#554C2211yescharacteristic, complemented
19D4×Q8×C47C2211yescharacteristic
20C47×#547C2211yescharacteristic
21D42×C47C2211yescharacteristic
22C47×#501—21no—
23C47×#498C2211yescharacteristic, complemented
24C47×#498C2211yescharacteristic, complemented
25C47×#498C2211yescharacteristic, complemented
26C47×#492C2211yescharacteristic
27C47×#492C2211yescharacteristic
28C47×#492C2211yescharacteristic
29C47×#483—21no—
30C47×#481—21no—
31C47×#478—21no—
32C47×#476—21no—
33C47×#476C2211yescharacteristic
34C47×#476C2211yescharacteristic
35C47×#475C2211yescharacteristic, complemented
36C47×#474C2211yescharacteristic, complemented
37C47×#468—21no—
38C47×#465—21no—
39C47×#465—21no—
40C47×#461C2211yescharacteristic
41C47×#461C2211yescharacteristic
42C47×#460C2211yescharacteristic
43C47×#459C2211yescharacteristic
44C47×#450—21no—
45C47×#450—21no—
46C47×#449—21no—
47C47×#448—21no—
48C47×#446C2211yescharacteristic, complemented
49C47×#442—21no—
50C4×SD16×C47C2211yescharacteristic
51C4×D8×C47C2211yescharacteristic
52C47×#436C2211yescharacteristic
53C8×D4×C47C2211yescharacteristic
54C8×D4×C47C2211yescharacteristic, complemented
55C2×#106×C47—21no—
56C47×#335C2211yescharacteristic, complemented
57C47×#334C2211yescharacteristic, complemented
58C47×#333C2211yescharacteristic, complemented
59C47×#332C2211yescharacteristic, complemented
60C47×#332C2211yescharacteristic, complemented
61C47×#331C2211yescharacteristic
62C47×Q8⋊C8C2211yescharacteristic, complemented
63C47×D4⋊C8C2211yescharacteristic
64C47×D4⋊C8C2211yescharacteristic
65C47×D4⋊C8C2211yescharacteristic, complemented
66C82×C47C2211yescharacteristic, complemented
67C2×#41×C47—21no—
68C22×Q8×C47—21no—
69C22×D4×C47—21no—
70C22×D4×C47—21no—
71AGL(1,ℤ/8)×C47—44no—
72C2×SD16×C47—21no—
73C2×SD16×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—41no—
80C2×SD16×C47—44no—
81C2×SD16×C47D411yescharacteristic
82C2×D8×C47—21no—
83C2×D8×C47D411yescharacteristic
84C2×M16×C47—21no—
85C22×C8×C47—21no—
86C22×C8×C47—21no—
87C4⋊Q8×C47—21no—
88C4⋊Q8×C47C2311yescharacteristic
89C4⋊Q8×C47C2311yescharacteristic
90C4⋊Q8×C47C2311yescharacteristic
91#127×C47C2311yescharacteristic
92#125×C47—21no—
93#123×C47—41no—
94C22⋊Q8×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#120×C47—41no—
103C4×Q8×C47C2311yescharacteristic
104C4×D4×C47—21no—
105C4×D4×C47—21no—
106C4×D4×C47C2311yescharacteristic
107C4×D4×C47C2311yescharacteristic
108C4×D4×C47C2311yescharacteristic
109C2×C4⋊C4×C47—21no—
110C2×C4⋊C4×C47—21no—
111#107×C47—21no—
112#107×C47D411yescharacteristic
113#106×C47—21no—
114#106×C47—21no—
115#106×C47—21no—
116#106×C47—21no—
117#106×C47—21no—
118#106×C47—21no—
119#106×C47—21no—
120#106×C47—41no—
121#106×C47D411yescharacteristic
122C4⋊C8×C47—21no—
123C4⋊C8×C47C2311yescharacteristic
124C4⋊C8×C47C2311yescharacteristic
125C4⋊C8×C47C2311yescharacteristic
126C4⋊C8×C47C2311yescharacteristic
127#103×C47—21no—
128#103×C47—21no—
129#103×C47—21no—
130#103×C47D411yescharacteristic
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—
142#97×C47—21no—
143C4×C8×C47C2311yescharacteristic
144C4×C8×C47C2311yescharacteristic
145C4×C8×C47C2311yescharacteristic
146C24×C47—41no—
147#41×C47—42no—
148#41×C47—81no—
149C2×Q8×C47—21no—
150C2×Q8×C47—21no—
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—41no—
160C2×D4×C47—41no—
161C2×D4×C47—42no—
162C2×D4×C47—42no—
163C2×D4×C47—41no—
164C2×D4×C47—81no—
165C2×D4×C47—81no—
166C2×D4×C47C2×D411yescharacteristic
167C2×D4×C47C2×D411yescharacteristic
168C2×D4×C47C2×D411yescharacteristic
169C22×C4×C47—21no—
170C22×C4×C47—21no—
171C22×C4×C47—21no—
172C22×C4×C47—41no—
173C22×C4×C47—41no—
174C22×C4×C47—41no—
175SD16×C47—22no—
176SD16×C47—42no—
177SD16×C47—42no—
178SD16×C47—42no—
179SD16×C47—42no—
180SD16×C47—42no—
181SD16×C47—81no—
182SD16×C47—81no—
183SD16×C47—82no—
184D8×C47—42no—
185D8×C47SD1614yescomplemented
186M16×C47—42no—
187C2×C8×C47—21no—
188C2×C8×C47—21no—
189C2×C8×C47—21no—
190C2×C8×C47—21no—
191C2×C8×C47—21no—
192C2×C8×C47—42no—
193C2×C8×C47—42no—
194C2×C8×C47C2×D411yescharacteristic
195C2×C8×C47C2×D411yescharacteristic
196C2×C8×C47C2×D411yescharacteristic
197C2×C8×C47C2×D411yescharacteristic
198C4⋊C4×C47—21no—
199C4⋊C4×C47—21no—
200C4⋊C4×C47—21no—
201C4⋊C4×C47—21no—
202C4⋊C4×C47—21no—
203C4⋊C4×C47—21no—
204C4⋊C4×C47—21no—
205C4⋊C4×C47—41no—
206C4⋊C4×C47—41no—
207C4⋊C4×C47—41no—
208C4⋊C4×C47—41no—
209C4⋊C4×C47C2×D411yescharacteristic
210C4⋊C4×C47C2×D411yescharacteristic
211C4⋊C4×C47C2×D411yescharacteristic
212C4⋊C4×C47C2×D411yescharacteristic
213C22⋊C4×C47—21no—
214C22⋊C4×C47—21no—
215C22⋊C4×C47—21no—
216C22⋊C4×C47—41no—
217C22⋊C4×C47—41no—
218C22⋊C4×C47—41no—
219C22⋊C4×C47—41no—
220C42×C47—21no—
221C42×C47C2411yescharacteristic
222C23×C47—21no—
223C23×C47—21no—
224C23×C47—21no—
225C23×C47—41no—
226C23×C47—82no—
227C23×C47—82no—
228C23×C47—161no—
229Q8×C47—21no—
230Q8×C47—21no—
231Q8×C47—41no—
232Q8×C47—41no—
233Q8×C47—41no—
234Q8×C47—41no—
235Q8×C47—81no—
236Q8×C47—82no—
237D4×C47—21no—
238D4×C47—21no—
239D4×C47—21no—
240D4×C47—21no—
241D4×C47—41no—
242D4×C47—41no—
243D4×C47—41no—
244D4×C47—41no—
245D4×C47—81no—
246D4×C47—82no—
247D4×C47—82no—
248D4×C47—82no—
249D4×C47C2×SD1612yes—
250D4×C47C2×SD1612yescomplemented
251C2×C4×C47—21no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—21no—
256C2×C4×C47—41no—
257C2×C4×C47—41no—
258C2×C4×C47—41no—
259C2×C4×C47—41no—
260C2×C4×C47—41no—
261C2×C4×C47—41no—
262C2×C4×C47—41no—
263C2×C4×C47—41no—
264C2×C4×C47—41no—
265C2×C4×C47—82no—
266C2×C4×C47—82no—
267C2×C4×C47—161no—
268C2×C4×C47C22×D411yescharacteristic
269C2×C4×C47C22×D411yescharacteristic
270C2×C4×C47H(5,𝔽2)11yescharacteristic
271C8×C47—22no—
272C8×C47—21no—
273C8×C47—21no—
274C8×C47—41no—
275C8×C47—41no—
276C8×C47—41no—
277C8×C47—41no—
278C8×C47C2×SD1612yescomplemented
279C8×C47AGL(1,ℤ/8)12yescomplemented
280#19890C4711yesmaximal, characteristic, direct product factor, Sylow
281C22×C47—22no—
282C22×C47—22no—
283C22×C47—41no—
284C22×C47—41no—
285C22×C47—41no—
286C22×C47—41no—
287C22×C47—41no—
288C22×C47—41no—
289C22×C47—41no—
290C22×C47—81no—
291C22×C47—81no—
292C22×C47—81no—
293C22×C47—164no—
294C22×C47D4211yescharacteristic
295C4×C47—21no—
296C4×C47—41no—
297C4×C47—41no—
298C4×C47—41no—
299C4×C47—41no—
300C4×C47—41no—
301C4×C47—81no—
302C4×C47—81no—
303C4×C47—81no—
304C4×C47C22×SD1611yescharacteristic
305C4×C47C2×AGL(1,ℤ/8)11yescharacteristic
306C4×C47#57711yescharacteristic
307C4×C47#57711yescharacteristic
308#3384C2×C4711yescharacteristic, complemented
309#3335C2×C4711yescharacteristic, complemented
310D4×SD16C2×C4711yescharacteristic, complemented
311#3272C2×C4711yescharacteristic
312#1705C2×C4711yescharacteristic, complemented
313#1691C2×C4711yescharacteristic, complemented
314#1686C2×C4711yescharacteristic, complemented
315#1671C2×C4711yescharacteristic, complemented
316#1665C2×C4711yescharacteristic, complemented
317#1654C2×C4711yescharacteristic, complemented
318#1651C2×C4711yescharacteristic, complemented
319#1629C2×C4711yescharacteristic, complemented
320#1622C2×C4711yescharacteristic, complemented
321#1590C2×C4711yescharacteristic, complemented
322C8×D8C2×C4711yescharacteristic, complemented
323C2×C47—42no—
324C2×C47—42no—
325C2×C47—81no—
326C2×C47—161no—
327C2×C47#327211yescharacteristic
328C2×C47D4×SD1611yescharacteristic
329C2×C47#329111yescharacteristic
330C2×AGL(1,ℤ/8)—21no—
331C22×SD16—21no—
332#554C22×C4711yescharacteristic, complemented
333D4×Q8C22×C4711yescharacteristic
334#547C22×C4711yescharacteristic
335D42C22×C4711yescharacteristic
336#501—21no—
337#498C22×C4711yescharacteristic, complemented
338#498C22×C4711yescharacteristic, complemented
339#498C22×C4711yescharacteristic, complemented
340#492C22×C4711yescharacteristic
341#492C22×C4711yescharacteristic
342#492C22×C4711yescharacteristic
343#483—21no—
344#481—21no—
345#478—21no—
346#476—21no—
347#476C22×C4711yescharacteristic
348#476C22×C4711yescharacteristic
349#475C22×C4711yescharacteristic, complemented
350#474C22×C4711yescharacteristic, complemented
351#468—21no—
352#465—21no—
353#465—21no—
354#461C22×C4711yescharacteristic
355#461C22×C4711yescharacteristic
356#460C22×C4711yescharacteristic
357#459C22×C4711yescharacteristic
358#450—21no—
359#450—21no—
360#449—21no—
361#448—21no—
362#446C22×C4711yescharacteristic, complemented
363#442—21no—
364C4×SD16C22×C4711yescharacteristic
365C4×D8C22×C4711yescharacteristic
366#436C22×C4711yescharacteristic
367C8×D4C22×C4711yescharacteristic
368C8×D4C22×C4711yescharacteristic, complemented
369C2×#106—21no—
370#335C22×C4711yescharacteristic, complemented
371#334C22×C4711yescharacteristic, complemented
372#333C22×C4711yescharacteristic, complemented
373#332C22×C4711yescharacteristic, complemented
374#332C22×C4711yescharacteristic, complemented
375#331C22×C4711yescharacteristic
376Q8⋊C8C22×C4711yescharacteristic, complemented
377D4⋊C8C22×C4711yescharacteristic
378D4⋊C8C22×C4711yescharacteristic
379D4⋊C8C22×C4711yescharacteristic, complemented
380C82C22×C4711yescharacteristic, complemented
381C47#1989011yescharacteristic, direct product factor, Sylow
382C2×#41—21no—
383C22×Q8—21no—
384C22×D4—21no—
385C22×D4—21no—
386AGL(1,ℤ/8)—44no—
387C2×SD16—21no—
388C2×SD16—21no—
389C2×SD16—21no—
390C2×SD16—21no—
391C2×SD16—21no—
392C2×SD16—21no—
393C2×SD16—21no—
394C2×SD16—41no—
395C2×SD16—44no—
396C2×SD16D4×C4711yescharacteristic
397C2×D8—21no—
398C2×D8D4×C4711yescharacteristic
399C2×M16—21no—
400C22×C8—21no—
401C22×C8—21no—
402C4⋊Q8—21no—
403C4⋊Q8C23×C4711yescharacteristic
404C4⋊Q8C23×C4711yescharacteristic
405C4⋊Q8C23×C4711yescharacteristic
406#127C23×C4711yescharacteristic
407#125—21no—
408#123—41no—
409C22⋊Q8—21no—
410C22⋊Q8—21no—
411C22⋊Q8—21no—
412C22⋊Q8—41no—
413C22⋊Q8—41no—
414#121—21no—
415#121—21no—
416#121—21no—
417#120—41no—
418C4×Q8C23×C4711yescharacteristic
419C4×D4—21no—
420C4×D4—21no—
421C4×D4C23×C4711yescharacteristic
422C4×D4C23×C4711yescharacteristic
423C4×D4C23×C4711yescharacteristic
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426#107—21no—
427#107D4×C4711yescharacteristic
428#106—21no—
429#106—21no—
430#106—21no—
431#106—21no—
432#106—21no—
433#106—21no—
434#106—21no—
435#106—41no—
436#106D4×C4711yescharacteristic
437C4⋊C8—21no—
438C4⋊C8C23×C4711yescharacteristic
439C4⋊C8C23×C4711yescharacteristic
440C4⋊C8C23×C4711yescharacteristic
441C4⋊C8C23×C4711yescharacteristic
442#103—21no—
443#103—21no—
444#103—21no—
445#103D4×C4711yescharacteristic
446#102—21no—
447#102—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102D4×C4711yescharacteristic
452#102D4×C4711yescharacteristic
453#102D4×C4711yescharacteristic
454C22⋊C8—21no—
455C22⋊C8—21no—
456C22⋊C8—21no—
457#97—21no—
458C4×C8C23×C4711yescharacteristic
459C4×C8C23×C4711yescharacteristic
460C4×C8C23×C4711yescharacteristic
461C24—41no—
462#41—42no—
463#41—81no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—41no—
468C2×Q8—42no—
469C2×Q8—81no—
470C2×Q8C2×D4×C4711yescharacteristic
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—41no—
475C2×D4—41no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D4—41no—
479C2×D4—81no—
480C2×D4—81no—
481C2×D4C2×D4×C4711yescharacteristic
482C2×D4C2×D4×C4711yescharacteristic
483C2×D4C2×D4×C4711yescharacteristic
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—41no—
488C22×C4—41no—
489C22×C4—41no—
490SD16—22no—
491SD16—42no—
492SD16—42no—
493SD16—42no—
494SD16—42no—
495SD16—42no—
496SD16—81no—
497SD16—81no—
498SD16—82no—
499D8—42no—
500D8SD16×C4714yescomplemented
501M16—42no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—42no—
508C2×C8—42no—
509C2×C8C2×D4×C4711yescharacteristic
510C2×C8C2×D4×C4711yescharacteristic
511C2×C8C2×D4×C4711yescharacteristic
512C2×C8C2×D4×C4711yescharacteristic
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—41no—
521C4⋊C4—41no—
522C4⋊C4—41no—
523C4⋊C4—41no—
524C4⋊C4C2×D4×C4711yescharacteristic
525C4⋊C4C2×D4×C4711yescharacteristic
526C4⋊C4C2×D4×C4711yescharacteristic
527C4⋊C4C2×D4×C4711yescharacteristic
528C22⋊C4—21no—
529C22⋊C4—21no—
530C22⋊C4—21no—
531C22⋊C4—41no—
532C22⋊C4—41no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C42—21no—
536C42C24×C4711yescharacteristic
537C23—21no—
538C23—21no—
539C23—21no—
540C23—41no—
541C23—82no—
542C23—82no—
543C23—161no—
544Q8—21no—
545Q8—21no—
546Q8—41no—
547Q8—41no—
548Q8—41no—
549Q8—41no—
550Q8—81no—
551Q8—82no—
552D4—21no—
553D4—21no—
554D4—21no—
555D4—21no—
556D4—41no—
557D4—41no—
558D4—41no—
559D4—41no—
560D4—81no—
561D4—82no—
562D4—82no—
563D4—82no—
564D4C2×SD16×C4712yes—
565D4C2×SD16×C4712yescomplemented
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—82no—
581C2×C4—82no—
582C2×C4—161no—
583C2×C4C22×D4×C4711yescharacteristic
584C2×C4C22×D4×C4711yescharacteristic
585C2×C4H(5,𝔽2)×C4711yescharacteristic
586C8—22no—
587C8—21no—
588C8—21no—
589C8—41no—
590C8—41no—
591C8—41no—
592C8—41no—
593C8C2×SD16×C4712yescomplemented
594C8AGL(1,ℤ/8)×C4712yescomplemented
595C22—22no—
596C22—22no—
597C22—41no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—81no—
605C22—81no—
606C22—81no—
607C22—164no—
608C22D42×C4711yescharacteristic
609C4—21no—
610C4—41no—
611C4—41no—
612C4—41no—
613C4—41no—
614C4—41no—
615C4—81no—
616C4—81no—
617C4—81no—
618C4C22×SD16×C4711yescharacteristic
619C4C2×AGL(1,ℤ/8)×C4711yescharacteristic
620C4C47×#57711yescharacteristic
621C4C47×#57711yescharacteristic
622C2—42no—
623C2—42no—
624C2—81no—
625C2—161no—
626C2C47×#327211yescharacteristic
627C2D4×SD16×C4711yescharacteristic
628C2C47×#329111yescharacteristic
subgroupG/H
center, socleC22×C47D42
commutator, Frattini, cosocleC42C24×C47
prime radicalC47×#3272C2
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×#3335C2semidirect
3. D4×SD16×C47C2semidirect
5. C47×#1705C2semidirect
6. C47×#1691C2semidirect
7. C47×#1686C2semidirect
8. C47×#1671C2semidirect
9. C47×#1665C2semidirect
10. C47×#1654C2semidirect
11. C47×#1651C2semidirect
12. C47×#1629C2semidirect
13. C47×#1622C2semidirect
14. C47×#1590C2semidirect
15. C8×D8×C47C2semidirect
18. C47×#554C22semidirect
23. C47×#498C22semidirect
24. C47×#498C22semidirect
25. C47×#498C22semidirect
35. C47×#475C22semidirect
36. C47×#474C22semidirect
48. C47×#446C22semidirect
54. C8×D4×C47C22semidirect
56. C47×#335C22semidirect
57. C47×#334C22semidirect
58. C47×#333C22semidirect
59. C47×#332C22semidirect
60. C47×#332C22semidirect
62. C47×Q8⋊C8C22semidirect
65. C47×D4⋊C8C22semidirect
66. C82×C47C22semidirect
185. D8×C47SD16semidirect
250. D4×C47C2×SD16semidirect
278. C8×C47C2×SD16semidirect
279. C8×C47AGL(1,ℤ/8)semidirect
280. #19890C47direct (N × H)
308. #3384C2×C47semidirect
309. #3335C2×C47semidirect
310. D4×SD16C2×C47semidirect
312. #1705C2×C47semidirect
313. #1691C2×C47semidirect
314. #1686C2×C47semidirect
315. #1671C2×C47semidirect
316. #1665C2×C47semidirect
317. #1654C2×C47semidirect
318. #1651C2×C47semidirect
319. #1629C2×C47semidirect
320. #1622C2×C47semidirect
321. #1590C2×C47semidirect
322. C8×D8C2×C47semidirect
332. #554C22×C47semidirect
337. #498C22×C47semidirect
338. #498C22×C47semidirect
339. #498C22×C47semidirect
349. #475C22×C47semidirect
350. #474C22×C47semidirect
362. #446C22×C47semidirect
368. C8×D4C22×C47semidirect
370. #335C22×C47semidirect
371. #334C22×C47semidirect
372. #333C22×C47semidirect
373. #332C22×C47semidirect
374. #332C22×C47semidirect
376. Q8⋊C8C22×C47semidirect
379. D4⋊C8C22×C47semidirect
380. C82C22×C47semidirect
381. C47#19890direct (N × H)
500. D8SD16×C47semidirect
565. D4C2×SD16×C47semidirect
593. C8C2×SD16×C47semidirect
594. C8AGL(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×#33842
C47×#33352
D4×SD16×C472
C47×#32722
C47×#17052
C47×#16912
C47×#16862
C47×#16712
C47×#16652
C47×#16542
C47×#16512
C47×#16292
C47×#16222
C47×#15902
C8×D8×C472
#1989047