Finite Group Databasebeta

← C47×#24935 #26064633

Subgroups — C47×#24935 #26064633

Order 12032.

834 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×#2487C211yesmaximal, characteristic
2D4×C4⋊C4×C47C211yesmaximal, characteristic
3C47×#2099C211yesmaximal, characteristic, complemented
4C47×#2084C211yesmaximal, characteristic, complemented
5C47×#2077C211yesmaximal, characteristic, complemented
6C47×#2077C211yesmaximal, characteristic, complemented
7C47×#1920C211yesmaximal, characteristic, complemented
8C47×#1920C211yesmaximal, characteristic, complemented
9C47×#1869C211yesmaximal, characteristic
10C47×#1853C211yesmaximal, characteristic, complemented
11C47×#1853C211yesmaximal, characteristic, complemented
12C47×#1824C211yesmaximal, characteristic, complemented
13C47×#1823C211yesmaximal, characteristic, complemented
14C47×#1807C211yesmaximal, characteristic, complemented
15C2×C47×#340C211yesmaximal, characteristic, complemented
16C23×C8×C47C2211yescharacteristic
17C2×C4×D4×C47—21no—
18C2×C4×D4×C47C2211yescharacteristic
19C22×C4⋊C4×C47C2211yescharacteristic
20C22×C4⋊C4×C47C2211yescharacteristic
21C22×C4⋊C4×C47C2211yescharacteristic
22C2×#106×C47C2211yescharacteristic
23C2×#106×C47C2211yescharacteristic
24C2×#106×C47C2211yescharacteristic
25C2×#106×C47C2211yescharacteristic
26C2×C22⋊C8×C47C2211yescharacteristic
27C2×C22⋊C8×C47C2211yescharacteristic
28C2×C22⋊C8×C47C2211yescharacteristic
29C47×#400—21no—
30C47×#399—21no—
31C47×#389—21no—
32C47×#389C2211yescharacteristic
33C47×#389C2211yescharacteristic
34C47×#386—21no—
35C47×#385—21no—
36C47×#385—21no—
37C47×#385—21no—
38C47×#384C2211yescharacteristic
39C47×#380C2211yescharacteristic
40C47×#380C2211yescharacteristic
41C47×#380C2211yescharacteristic
42C47×#380C2211yescharacteristic
43C47×#380C2211yescharacteristic
44C4×C4⋊C4×C47C2211yescharacteristic
45C47×#340C2211yescharacteristic
46C47×#340C2211yescharacteristic
47C47×#340C2211yescharacteristic
48C47×#340C2211yescharacteristic
49C47×#340C2211yescharacteristic
50C47×#340C2211yescharacteristic
51C47×#340C2211yescharacteristic
52C47×#340C2211yescharacteristic
53C47×#340C2211yescharacteristic
54C47×#340C2211yescharacteristic
55C47×#340C2211yescharacteristic
56C47×#340C2211yescharacteristic
57C47×#336C2211yescharacteristic
58C47×#336C2211yescharacteristic
59C22×D4×C47D411yescharacteristic
60C23×C4×C47—21no—
61C23×C4×C47—21no—
62C23×C4×C47—21no—
63C23×C4×C47C2311yescharacteristic
64C23×C4×C47C2311yescharacteristic
65C22×C8×C47—22no—
66C22×C8×C47—22no—
67C22×C8×C47—41no—
68C22×C8×C47C2311yescharacteristic
69C22×C8×C47C2311yescharacteristic
70C22×C8×C47C2311yescharacteristic
71C22×C8×C47C2311yescharacteristic
72C4×D4×C47—22no—
73C4×D4×C47—22no—
74C4×D4×C47—44no—
75C2×C4⋊C4×C47—22no—
76C2×C4⋊C4×C47—22no—
77C2×C4⋊C4×C47—22no—
78C2×C4⋊C4×C47—22no—
79C2×C4⋊C4×C47—21no—
80C2×C4⋊C4×C47—21no—
81C2×C4⋊C4×C47—21no—
82C2×C4⋊C4×C47—21no—
83C2×C4⋊C4×C47—21no—
84C2×C4⋊C4×C47—21no—
85C2×C4⋊C4×C47—21no—
86C2×C4⋊C4×C47—41no—
87C2×C4⋊C4×C47—41no—
88C2×C4⋊C4×C47D411yescharacteristic
89C2×C4⋊C4×C47C2311yescharacteristic
90C2×C4⋊C4×C47C2311yescharacteristic
91C2×C4⋊C4×C47C2311yescharacteristic
92C2×C4⋊C4×C47C2311yescharacteristic
93C2×C4⋊C4×C47C2311yescharacteristic
94C2×C4⋊C4×C47C2311yescharacteristic
95C2×C4⋊C4×C47C2311yescharacteristic
96C2×C4⋊C4×C47C2311yescharacteristic
97C2×C22⋊C4×C47—21no—
98C2×C22⋊C4×C47—21no—
99C2×C22⋊C4×C47—21no—
100C2×C22⋊C4×C47—21no—
101C2×C22⋊C4×C47—21no—
102C2×C22⋊C4×C47D411yescharacteristic
103C2×C22⋊C4×C47D411yescharacteristic
104C2×C42×C47—21no—
105C2×C42×C47C2311yescharacteristic
106#106×C47—22no—
107#106×C47—22no—
108#106×C47—41no—
109#106×C47—41no—
110C22⋊C8×C47—22no—
111C22⋊C8×C47—22no—
112C22⋊C8×C47—41no—
113#95×C47—21no—
114#95×C47—21no—
115#95×C47—21no—
116#95×C47—21no—
117#95×C47—21no—
118#95×C47—21no—
119#95×C47—21no—
120#95×C47—21no—
121C24×C47C2×D411yescharacteristic
122C24×C47C2×D411yescharacteristic
123C2×D4×C47—22no—
124C2×D4×C47—22no—
125C2×D4×C47SD1614yes—
126C22×C4×C47—21no—
127C22×C4×C47—21no—
128C22×C4×C47—21no—
129C22×C4×C47—21no—
130C22×C4×C47—21no—
131C22×C4×C47—21no—
132C22×C4×C47—21no—
133C22×C4×C47—21no—
134C22×C4×C47—21no—
135C22×C4×C47—21no—
136C22×C4×C47—21no—
137C22×C4×C47—21no—
138C22×C4×C47—21no—
139C22×C4×C47—21no—
140C22×C4×C47—21no—
141C22×C4×C47—21no—
142C22×C4×C47—21no—
143C22×C4×C47—21no—
144C22×C4×C47—42no—
145C22×C4×C47—42no—
146C22×C4×C47—42no—
147C22×C4×C47—42no—
148C22×C4×C47—42no—
149C22×C4×C47—81no—
150C22×C4×C47—81no—
151C22×C4×C47—81no—
152C22×C4×C47—81no—
153C22×C4×C47C2×D411yescharacteristic
154C22×C4×C47C2×D411yescharacteristic
155C22×C4×C47C2×D411yescharacteristic
156C22×C4×C47C2×D411yescharacteristic
157C22×C4×C47#4112yes—
158C22×C4×C47#4112yes—
159C22×C4×C47C2411yescharacteristic
160C2×C8×C47—21no—
161C2×C8×C47—21no—
162C2×C8×C47—21no—
163C2×C8×C47—21no—
164C2×C8×C47—21no—
165C2×C8×C47—21no—
166C2×C8×C47—21no—
167C2×C8×C47—21no—
168C2×C8×C47—21no—
169C2×C8×C47—21no—
170C2×C8×C47—21no—
171C2×C8×C47—44no—
172C2×C8×C47#4112yes—
173C4⋊C4×C47—22no—
174C4⋊C4×C47—21no—
175C4⋊C4×C47—21no—
176C4⋊C4×C47—21no—
177C4⋊C4×C47—21no—
178C4⋊C4×C47—21no—
179C4⋊C4×C47—21no—
180C4⋊C4×C47—21no—
181C4⋊C4×C47—21no—
182C4⋊C4×C47—21no—
183C4⋊C4×C47—21no—
184C4⋊C4×C47—21no—
185C4⋊C4×C47—21no—
186C4⋊C4×C47—21no—
187C4⋊C4×C47—21no—
188C4⋊C4×C47—21no—
189C4⋊C4×C47—42no—
190C4⋊C4×C47—42no—
191C4⋊C4×C47—42no—
192C4⋊C4×C47—42no—
193C4⋊C4×C47—81no—
194C4⋊C4×C47—81no—
195C4⋊C4×C47—81no—
196C4⋊C4×C47#4112yes—
197C22⋊C4×C47—22no—
198C22⋊C4×C47—22no—
199C22⋊C4×C47—42no—
200C22⋊C4×C47—42no—
201C22⋊C4×C47—42no—
202C22⋊C4×C47—81no—
203C22⋊C4×C47—81no—
204C42×C47—21no—
205C42×C47—21no—
206C42×C47—42no—
207C23×C47—21no—
208C23×C47—21no—
209C23×C47—21no—
210C23×C47—21no—
211C23×C47—21no—
212C23×C47—21no—
213C23×C47—21no—
214C23×C47—21no—
215C23×C47—21no—
216C23×C47—21no—
217C23×C47#12312yes—
218C23×C47C2×SD1612yes—
219C23×C47C2×SD1612yes—
220C23×C47#13712yes—
221C23×C47C22×D411yescharacteristic
222D4×C47—28no—
223C2×C4×C47—21no—
224C2×C4×C47—21no—
225C2×C4×C47—21no—
226C2×C4×C47—21no—
227C2×C4×C47—22no—
228C2×C4×C47—22no—
229C2×C4×C47—22no—
230C2×C4×C47—22no—
231C2×C4×C47—21no—
232C2×C4×C47—21no—
233C2×C4×C47—22no—
234C2×C4×C47—21no—
235C2×C4×C47—21no—
236C2×C4×C47—21no—
237C2×C4×C47—21no—
238C2×C4×C47—41no—
239C2×C4×C47—41no—
240C2×C4×C47—41no—
241C2×C4×C47—41no—
242C2×C4×C47—41no—
243C2×C4×C47—41no—
244C2×C4×C47—41no—
245C2×C4×C47—41no—
246C2×C4×C47—41no—
247C2×C4×C47—41no—
248C2×C4×C47—41no—
249C2×C4×C47—41no—
250C2×C4×C47—41no—
251C2×C4×C47—41no—
252C2×C4×C47—41no—
253C2×C4×C47—41no—
254C2×C4×C47—41no—
255C2×C4×C47—41no—
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—84no—
266C2×C4×C47—84no—
267C2×C4×C47—84no—
268C2×C4×C47#12312yes—
269C2×C4×C47C2×SD1612yes—
270C2×C4×C47C2×#4111yescharacteristic
271C2×C4×C47C2×#4111yescharacteristic
272C2×C4×C47C2×#4111yescharacteristic
273C2×C4×C47C2×#4111yescharacteristic
274C2×C4×C47H(5,𝔽2)11yescharacteristic
275C2×C4×C472−1+411yescharacteristic
276C8×C47—22no—
277C8×C47—41no—
278C8×C47—41no—
279C8×C47—41no—
280#24935C4711yesmaximal, characteristic, direct product factor, Sylow
281C22×C47—22no—
282C22×C47—22no—
283C22×C47—22no—
284C22×C47—22no—
285C22×C47—22no—
286C22×C47—22no—
287C22×C47—22no—
288C22×C47—22no—
289C22×C47—22no—
290C22×C47—41no—
291C22×C47—41no—
292C22×C47—41no—
293C22×C47—41no—
294C22×C47#48314yes—
295C22×C47C2×#12311yescharacteristic
296C22×C47#54611yescharacteristic
297C22×C47#54711yescharacteristic
298C22×C47C22×SD1611yescharacteristic
299C22×C47C2×#13711yescharacteristic
300C22×C47#57611yescharacteristic
301C22×C47#57711yescharacteristic
302C4×C47—22no—
303C4×C47—22no—
304C4×C47—41no—
305C4×C47—41no—
306C4×C47—42no—
307C4×C47—81no—
308C4×C47—81no—
309C4×C47—81no—
310C4×C47—81no—
311C4×C47—81no—
312C4×C47—81no—
313C4×C47—81no—
314C4×C47#52911yescharacteristic
315C4×C47#53911yescharacteristic
316C4×C47#55111yescharacteristic
317C4×C47#55211yescharacteristic
318#2487C2×C4711yescharacteristic
319D4×C4⋊C4C2×C4711yescharacteristic
320#2099C2×C4711yescharacteristic, complemented
321#2084C2×C4711yescharacteristic, complemented
322#2077C2×C4711yescharacteristic, complemented
323#2077C2×C4711yescharacteristic, complemented
324#1920C2×C4711yescharacteristic, complemented
325#1920C2×C4711yescharacteristic, complemented
326#1869C2×C4711yescharacteristic
327#1853C2×C4711yescharacteristic, complemented
328#1853C2×C4711yescharacteristic, complemented
329#1824C2×C4711yescharacteristic, complemented
330#1823C2×C4711yescharacteristic, complemented
331#1807C2×C4711yescharacteristic, complemented
332C2×#340C2×C4711yescharacteristic, complemented
333C2×C47—24no—
334C2×C47—42no—
335C2×C47#241911yescharacteristic
336C2×C47C2×#48311yescharacteristic
337C2×C47#309611yescharacteristic
338C2×C47#329511yescharacteristic
339C2×C47#332011yescharacteristic
340C2×C47#333511yescharacteristic
341C2×C47#334611yescharacteristic
342C23×C8C22×C4711yescharacteristic
343C2×C4×D4—21no—
344C2×C4×D4C22×C4711yescharacteristic
345C22×C4⋊C4C22×C4711yescharacteristic
346C22×C4⋊C4C22×C4711yescharacteristic
347C22×C4⋊C4C22×C4711yescharacteristic
348C2×#106C22×C4711yescharacteristic
349C2×#106C22×C4711yescharacteristic
350C2×#106C22×C4711yescharacteristic
351C2×#106C22×C4711yescharacteristic
352C2×C22⋊C8C22×C4711yescharacteristic
353C2×C22⋊C8C22×C4711yescharacteristic
354C2×C22⋊C8C22×C4711yescharacteristic
355#400—21no—
356#399—21no—
357#389—21no—
358#389C22×C4711yescharacteristic
359#389C22×C4711yescharacteristic
360#386—21no—
361#385—21no—
362#385—21no—
363#385—21no—
364#384C22×C4711yescharacteristic
365#380C22×C4711yescharacteristic
366#380C22×C4711yescharacteristic
367#380C22×C4711yescharacteristic
368#380C22×C4711yescharacteristic
369#380C22×C4711yescharacteristic
370C4×C4⋊C4C22×C4711yescharacteristic
371#340C22×C4711yescharacteristic
372#340C22×C4711yescharacteristic
373#340C22×C4711yescharacteristic
374#340C22×C4711yescharacteristic
375#340C22×C4711yescharacteristic
376#340C22×C4711yescharacteristic
377#340C22×C4711yescharacteristic
378#340C22×C4711yescharacteristic
379#340C22×C4711yescharacteristic
380#340C22×C4711yescharacteristic
381#340C22×C4711yescharacteristic
382#340C22×C4711yescharacteristic
383#336C22×C4711yescharacteristic
384#336C22×C4711yescharacteristic
385C47#2493511yescharacteristic, direct product factor, Sylow
386C22×D4D4×C4711yescharacteristic
387C23×C4—21no—
388C23×C4—21no—
389C23×C4—21no—
390C23×C4C23×C4711yescharacteristic
391C23×C4C23×C4711yescharacteristic
392C22×C8—22no—
393C22×C8—22no—
394C22×C8—41no—
395C22×C8C23×C4711yescharacteristic
396C22×C8C23×C4711yescharacteristic
397C22×C8C23×C4711yescharacteristic
398C22×C8C23×C4711yescharacteristic
399C4×D4—22no—
400C4×D4—22no—
401C4×D4—44no—
402C2×C4⋊C4—22no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4—22no—
405C2×C4⋊C4—22no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—41no—
414C2×C4⋊C4—41no—
415C2×C4⋊C4D4×C4711yescharacteristic
416C2×C4⋊C4C23×C4711yescharacteristic
417C2×C4⋊C4C23×C4711yescharacteristic
418C2×C4⋊C4C23×C4711yescharacteristic
419C2×C4⋊C4C23×C4711yescharacteristic
420C2×C4⋊C4C23×C4711yescharacteristic
421C2×C4⋊C4C23×C4711yescharacteristic
422C2×C4⋊C4C23×C4711yescharacteristic
423C2×C4⋊C4C23×C4711yescharacteristic
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4D4×C4711yescharacteristic
430C2×C22⋊C4D4×C4711yescharacteristic
431C2×C42—21no—
432C2×C42C23×C4711yescharacteristic
433#106—22no—
434#106—22no—
435#106—41no—
436#106—41no—
437C22⋊C8—22no—
438C22⋊C8—22no—
439C22⋊C8—41no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448C24C2×D4×C4711yescharacteristic
449C24C2×D4×C4711yescharacteristic
450C2×D4—22no—
451C2×D4—22no—
452C2×D4SD16×C4714yes—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—81no—
477C22×C4—81no—
478C22×C4—81no—
479C22×C4—81no—
480C22×C4C2×D4×C4711yescharacteristic
481C22×C4C2×D4×C4711yescharacteristic
482C22×C4C2×D4×C4711yescharacteristic
483C22×C4C2×D4×C4711yescharacteristic
484C22×C4#41×C4712yes—
485C22×C4#41×C4712yes—
486C22×C4C24×C4711yescharacteristic
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—44no—
499C2×C8#41×C4712yes—
500C4⋊C4—22no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—42no—
517C4⋊C4—42no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—81no—
521C4⋊C4—81no—
522C4⋊C4—81no—
523C4⋊C4#41×C4712yes—
524C22⋊C4—22no—
525C22⋊C4—22no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—81no—
530C22⋊C4—81no—
531C42—21no—
532C42—21no—
533C42—42no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23#123×C4712yes—
545C23C2×SD16×C4712yes—
546C23C2×SD16×C4712yes—
547C23#137×C4712yes—
548C23C22×D4×C4711yescharacteristic
549D4—28no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
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—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—84no—
593C2×C4—84no—
594C2×C4—84no—
595C2×C4#123×C4712yes—
596C2×C4C2×SD16×C4712yes—
597C2×C4C2×#41×C4711yescharacteristic
598C2×C4C2×#41×C4711yescharacteristic
599C2×C4C2×#41×C4711yescharacteristic
600C2×C4C2×#41×C4711yescharacteristic
601C2×C4H(5,𝔽2)×C4711yescharacteristic
602C2×C42−1+4×C4711yescharacteristic
603C8—22no—
604C8—41no—
605C8—41no—
606C8—41no—
607C22—22no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22C47×#48314yes—
621C22C2×#123×C4711yescharacteristic
622C22C47×#54611yescharacteristic
623C22C47×#54711yescharacteristic
624C22C22×SD16×C4711yescharacteristic
625C22C2×#137×C4711yescharacteristic
626C22C47×#57611yescharacteristic
627C22C47×#57711yescharacteristic
628C4—22no—
629C4—22no—
630C4—42no—
631C4—41no—
632C4—41no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4—81no—
638C4—81no—
639C4—81no—
640C4C47×#52911yescharacteristic
641C4C47×#53911yescharacteristic
642C4C47×#55111yescharacteristic
643C4C47×#55211yescharacteristic
644C2—24no—
645C2—42no—
646C2C47×#241911yescharacteristic
647C2C2×C47×#48311yescharacteristic
648C2C47×#309611yescharacteristic
649C2C47×#329511yescharacteristic
650C2C47×#332011yescharacteristic
651C2C47×#333511yescharacteristic
652C2C47×#334611yescharacteristic
subgroupG/H
center, socleC23×C47C22×D4
commutator, Frattini, cosocleC22×C4C24×C47
prime radicalC22×D4×C47D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C47 ◁ C2×C4×D4×C47 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
3. C47×#2099C2semidirect
4. C47×#2084C2semidirect
5. C47×#2077C2semidirect
6. C47×#2077C2semidirect
7. C47×#1920C2semidirect
8. C47×#1920C2semidirect
10. C47×#1853C2semidirect
11. C47×#1853C2semidirect
12. C47×#1824C2semidirect
13. C47×#1823C2semidirect
14. C47×#1807C2semidirect
15. C2×C47×#340C2semidirect
280. #24935C47direct (N × H)
320. #2099C2×C47semidirect
321. #2084C2×C47semidirect
322. #2077C2×C47semidirect
323. #2077C2×C47semidirect
324. #1920C2×C47semidirect
325. #1920C2×C47semidirect
327. #1853C2×C47semidirect
328. #1853C2×C47semidirect
329. #1824C2×C47semidirect
330. #1823C2×C47semidirect
331. #1807C2×C47semidirect
332. C2×#340C2×C47semidirect
385. C47#24935direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#24872
D4×C4⋊C4×C472
C47×#20992
C47×#20842
C47×#20772
C47×#19202
C47×#18692
C47×#18532
C47×#18242
C47×#18232
C47×#18072
C2×C47×#3402
#2493547