Finite Group Databasebeta

← C47×#22975 #26062673

Subgroups — C47×#22975 #26062673

Order 12032.

878 conjugacy classes of subgroups.

The subgroup lattice has 614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C47×#476C211yesmaximal, characteristic
2C47×#2365C211yesmaximal, characteristic, complemented
3C47×#2349C211yesmaximal, characteristic
4C47×#1993C211yesmaximal, characteristic, complemented
5C47×#1949C211yesmaximal, characteristic, complemented
6C47×#1944C211yesmaximal, characteristic, complemented
7C47×#1941C211yesmaximal, characteristic, complemented
8C47×#1920C211yesmaximal, characteristic, complemented
9C47×#1919C211yesmaximal, characteristic, complemented
10C47×#1864C211yesmaximal, characteristic
11C47×#1862C211yesmaximal, characteristic
12C47×#1771C211yesmaximal, characteristic, complemented
13C47×#1762C211yesmaximal, characteristic
14C47×#1762C211yesmaximal, characteristic
15C4×#102×C47C211yesmaximal, characteristic
16C2×C4⋊Q8×C47C2211yescharacteristic
17C2×C4×Q8×C47—21no—
18C2×C4×D4×C47C2211yescharacteristic
19C2×C4×D4×C47C2211yescharacteristic
20C2×C4×D4×C47C2211yescharacteristic
21C47×#476C418yescomplemented
22C2×#107×C47C2211yescharacteristic
23C2×#106×C47C2211yescharacteristic
24C2×#106×C47C2211yescharacteristic
25C2×#106×C47C2211yescharacteristic
26C2×C4⋊C8×C47C2211yescharacteristic
27C2×#102×C47C2211yescharacteristic
28C2×#102×C47C2211yescharacteristic
29C2×#102×C47C2211yescharacteristic
30C2×#102×C47C2211yescharacteristic
31C2×#97×C47C2211yescharacteristic
32C2×#97×C47C2211yescharacteristic
33C2×C4×C8×C47C2211yescharacteristic
34C47×#391—21no—
35C47×#389C2211yescharacteristic
36C47×#389C2211yescharacteristic
37C47×#389C2211yescharacteristic
38C47×#389C2211yescharacteristic
39C47×#387—21no—
40C47×#387—21no—
41C47×#385—21no—
42C47×#385—21no—
43C47×#382C2211yescharacteristic
44C47×#380—21no—
45C4×C4⋊C4×C47C2211yescharacteristic
46C4×C4⋊C4×C47C2211yescharacteristic
47C4×C4⋊C4×C47C2211yescharacteristic
48C4×C4⋊C4×C47C2211yescharacteristic
49C2×#95×C47—21no—
50C47×#340C2211yescharacteristic
51C47×#340C2211yescharacteristic
52C47×#340C2211yescharacteristic
53C47×#340C2211yescharacteristic
54C47×#340C2211yescharacteristic
55C47×#340C2211yescharacteristic
56C47×#340C2211yescharacteristic
57C47×#340C2211yescharacteristic
58C47×#336C2211yescharacteristic
59C47×#336C2211yescharacteristic
60C22×Q8×C47—21no—
61C22×D4×C47C2311yescharacteristic
62C23×C4×C47—21no—
63C23×C4×C47—21no—
64C23×C4×C47—21no—
65C22×C8×C47C2311yescharacteristic
66C22×C8×C47C2311yescharacteristic
67C22×C8×C47C2311yescharacteristic
68C22×C8×C47C2311yescharacteristic
69C4⋊Q8×C47—22no—
70C4⋊Q8×C47C2×C414yescomplemented
71C4×Q8×C47—44no—
72C4×D4×C47—22no—
73C4×D4×C47—22no—
74C4×D4×C47—22no—
75C4×D4×C47—41no—
76C4×D4×C47—41no—
77C4×D4×C47C2×C414yes—
78C2×C4⋊C4×C47—21no—
79C2×C4⋊C4×C47—21no—
80C2×C4⋊C4×C47—21no—
81C2×C4⋊C4×C47—21no—
82C2×C4⋊C4×C47—21no—
83C2×C4⋊C4×C47D411yescharacteristic
84C2×C4⋊C4×C47D411yescharacteristic
85C2×C4⋊C4×C47C2311yescharacteristic
86C2×C4⋊C4×C47C2311yescharacteristic
87C2×C4⋊C4×C47C2311yescharacteristic
88C2×C4⋊C4×C47C2311yescharacteristic
89C2×C4⋊C4×C47C2311yescharacteristic
90C2×C4⋊C4×C47C2311yescharacteristic
91C2×C4⋊C4×C47C2311yescharacteristic
92C2×C22⋊C4×C47—21no—
93C2×C22⋊C4×C47—21no—
94C2×C22⋊C4×C47—21no—
95C2×C42×C47—21no—
96C2×C42×C47—21no—
97C2×C42×C47—21no—
98C2×C42×C47C2311yescharacteristic
99C2×C42×C47C2311yescharacteristic
100C2×C42×C47C2311yescharacteristic
101#107×C47—41no—
102#106×C47—41no—
103#106×C47C2×C414yescomplemented
104#106×C47C2×C414yescomplemented
105C4⋊C8×C47C2×C414yescomplemented
106#102×C47—22no—
107#102×C47C2×C414yes—
108#102×C47C2×C414yes—
109#102×C47Q814yescomplemented
110#97×C47—22no—
111#97×C47—41no—
112C4×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—
121#95×C47—21no—
122#95×C47D411yescharacteristic
123#95×C47D411yescharacteristic
124C24×C47—21no—
125C2×Q8×C47—24no—
126C2×Q8×C47—42no—
127C2×Q8×C47—42no—
128C2×D4×C47—21no—
129C2×D4×C47—21no—
130C2×D4×C47—21no—
131C2×D4×C47C22×C412yes—
132C2×D4×C47C2×Q812yes—
133C2×D4×C47#4112yes—
134C22×C4×C47—21no—
135C22×C4×C47—21no—
136C22×C4×C47—21no—
137C22×C4×C47—21no—
138C22×C4×C47—24no—
139C22×C4×C47—21no—
140C22×C4×C47—21no—
141C22×C4×C47—21no—
142C22×C4×C47—42no—
143C22×C4×C47—42no—
144C22×C4×C47—42no—
145C22×C4×C47—42no—
146C22×C4×C47—81no—
147C22×C4×C47—81no—
148C22×C4×C47—81no—
149C22×C4×C47—81no—
150C22×C4×C47C2×D411yescharacteristic
151C22×C4×C47C2×D411yescharacteristic
152C22×C4×C47C2×D411yescharacteristic
153C22×C4×C47C2×D411yescharacteristic
154C22×C4×C47C2×D411yescharacteristic
155C22×C4×C47C2×D411yescharacteristic
156C22×C4×C47C2411yescharacteristic
157C2×C8×C47—21no—
158C2×C8×C47—21no—
159C2×C8×C47—21no—
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×C47C22×C412yes—
167C2×C8×C47C22×C412yes—
168C2×C8×C47C2×Q812yes—
169C4⋊C4×C47—24no—
170C4⋊C4×C47—22no—
171C4⋊C4×C47—21no—
172C4⋊C4×C47—21no—
173C4⋊C4×C47—21no—
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—41no—
182C4⋊C4×C47—42no—
183C4⋊C4×C47—42no—
184C4⋊C4×C47—81no—
185C4⋊C4×C47—81no—
186C4⋊C4×C47C22×C412yes—
187C4⋊C4×C47C22×C412yes—
188C4⋊C4×C47C22×C412yes—
189C4⋊C4×C47C2×Q812yes—
190C22⋊C4×C47—24no—
191C22⋊C4×C47—42no—
192C22⋊C4×C47—42no—
193C42×C47—21no—
194C42×C47—21no—
195C42×C47—21no—
196C42×C47—21no—
197C42×C47—42no—
198C42×C47—42no—
199C42×C47—42no—
200C42×C47C22×C412yes—
201C42×C47#4112yes—
202C23×C47—22no—
203C23×C47—22no—
204C23×C47—22no—
205C23×C47—41no—
206C23×C47—41no—
207C23×C47—41no—
208C23×C47—41no—
209C23×C47C22×D411yescharacteristic
210Q8×C47—48no—
211D4×C47—22no—
212D4×C47—22no—
213D4×C47—22no—
214D4×C47C4×Q814yescomplemented
215C2×C4×C47—21no—
216C2×C4×C47—21no—
217C2×C4×C47—21no—
218C2×C4×C47—21no—
219C2×C4×C47—21no—
220C2×C4×C47—21no—
221C2×C4×C47—22no—
222C2×C4×C47—22no—
223C2×C4×C47—22no—
224C2×C4×C47—21no—
225C2×C4×C47—21no—
226C2×C4×C47—21no—
227C2×C4×C47—22no—
228C2×C4×C47—21no—
229C2×C4×C47—21no—
230C2×C4×C47—21no—
231C2×C4×C47—21no—
232C2×C4×C47—21no—
233C2×C4×C47—21no—
234C2×C4×C47—41no—
235C2×C4×C47—41no—
236C2×C4×C47—41no—
237C2×C4×C47—41no—
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—84no—
252C2×C4×C47—84no—
253C2×C4×C47—84no—
254C2×C4×C47C4×D412yes—
255C2×C4×C47C4×D412yes—
256C2×C4×C47AGL(1,ℤ/8)12yes—
257C2×C4×C47C23×C411yescharacteristic
258C2×C4×C47C22×Q811yescharacteristic
259C2×C4×C47C2×#4111yescharacteristic
260C2×C4×C47C2×#4111yescharacteristic
261C2×C4×C47H(5,𝔽2)11yescharacteristic
262C2×C4×C472−1+411yescharacteristic
263C8×C47—22no—
264C8×C47—22no—
265C8×C47—22no—
266C8×C47—41no—
267#22975C4711yesmaximal, characteristic, direct product factor, Sylow
268C22×C47—24no—
269C22×C47—42no—
270C22×C47—42no—
271C22×C47—42no—
272C22×C47—42no—
273C22×C47—42no—
274C22×C47—42no—
275C22×C47C2×C4×D411yescharacteristic
276C22×C47#54611yescharacteristic
277C22×C47D4×Q811yescharacteristic
278C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
279C22×C47#57511yescharacteristic
280C22×C47#57711yescharacteristic
281C22×C47#57711yescharacteristic
282C4×C47—22no—
283C4×C47—22no—
284C4×C47—22no—
285C4×C47—42no—
286C4×C47—42no—
287C4×C47—42no—
288C4×C47—42no—
289C4×C47—41no—
290C4×C47—41no—
291C4×C47—41no—
292C4×C47—81no—
293C4×C47—81no—
294C4×C47—81no—
295C4×C47C2×C4×Q811yescharacteristic
296C4×C47#52011yescharacteristic
297C4×C47#55211yescharacteristic
298C4×C47#55411yescharacteristic
299C2×#476C2×C4711yescharacteristic
300#2365C2×C4711yescharacteristic, complemented
301#2349C2×C4711yescharacteristic
302#1993C2×C4711yescharacteristic, complemented
303#1949C2×C4711yescharacteristic, complemented
304#1944C2×C4711yescharacteristic, complemented
305#1941C2×C4711yescharacteristic, complemented
306#1920C2×C4711yescharacteristic, complemented
307#1919C2×C4711yescharacteristic, complemented
308#1864C2×C4711yescharacteristic
309#1862C2×C4711yescharacteristic
310#1771C2×C4711yescharacteristic, complemented
311#1762C2×C4711yescharacteristic
312#1762C2×C4711yescharacteristic
313C4×#102C2×C4711yescharacteristic
314C2×C47—44no—
315C2×C47#236011yescharacteristic
316C2×C47C4×AGL(1,ℤ/8)11yescharacteristic
317C2×C47#294911yescharacteristic
318C2×C47#330611yescharacteristic
319C2×C47#331111yescharacteristic
320C2×C47#338411yescharacteristic
321C2×C47#338811yescharacteristic
322C2×C4⋊Q8C22×C4711yescharacteristic
323C2×C4×Q8—21no—
324C2×C4×D4C22×C4711yescharacteristic
325C2×C4×D4C22×C4711yescharacteristic
326C2×C4×D4C22×C4711yescharacteristic
327#476C4×C4718yescomplemented
328C2×#107C22×C4711yescharacteristic
329C2×#106C22×C4711yescharacteristic
330C2×#106C22×C4711yescharacteristic
331C2×#106C22×C4711yescharacteristic
332C2×C4⋊C8C22×C4711yescharacteristic
333C2×#102C22×C4711yescharacteristic
334C2×#102C22×C4711yescharacteristic
335C2×#102C22×C4711yescharacteristic
336C2×#102C22×C4711yescharacteristic
337C2×#97C22×C4711yescharacteristic
338C2×#97C22×C4711yescharacteristic
339C2×C4×C8C22×C4711yescharacteristic
340#391—21no—
341#389C22×C4711yescharacteristic
342#389C22×C4711yescharacteristic
343#389C22×C4711yescharacteristic
344#389C22×C4711yescharacteristic
345#387—21no—
346#387—21no—
347#385—21no—
348#385—21no—
349#382C22×C4711yescharacteristic
350#380—21no—
351C4×C4⋊C4C22×C4711yescharacteristic
352C4×C4⋊C4C22×C4711yescharacteristic
353C4×C4⋊C4C22×C4711yescharacteristic
354C4×C4⋊C4C22×C4711yescharacteristic
355C2×#95—21no—
356#340C22×C4711yescharacteristic
357#340C22×C4711yescharacteristic
358#340C22×C4711yescharacteristic
359#340C22×C4711yescharacteristic
360#340C22×C4711yescharacteristic
361#340C22×C4711yescharacteristic
362#340C22×C4711yescharacteristic
363#340C22×C4711yescharacteristic
364#336C22×C4711yescharacteristic
365#336C22×C4711yescharacteristic
366C47#2297511yescharacteristic, direct product factor, Sylow
367C22×Q8—21no—
368C22×D4C23×C4711yescharacteristic
369C23×C4—21no—
370C23×C4—21no—
371C23×C4—21no—
372C22×C8C23×C4711yescharacteristic
373C22×C8C23×C4711yescharacteristic
374C22×C8C23×C4711yescharacteristic
375C22×C8C23×C4711yescharacteristic
376C4⋊Q8—22no—
377C4⋊Q8C2×C4×C4714yescomplemented
378C4×Q8—44no—
379C4×D4—22no—
380C4×D4—22no—
381C4×D4—22no—
382C4×D4—41no—
383C4×D4—41no—
384C4×D4C2×C4×C4714yes—
385C2×C4⋊C4—21no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4D4×C4711yescharacteristic
391C2×C4⋊C4D4×C4711yescharacteristic
392C2×C4⋊C4C23×C4711yescharacteristic
393C2×C4⋊C4C23×C4711yescharacteristic
394C2×C4⋊C4C23×C4711yescharacteristic
395C2×C4⋊C4C23×C4711yescharacteristic
396C2×C4⋊C4C23×C4711yescharacteristic
397C2×C4⋊C4C23×C4711yescharacteristic
398C2×C4⋊C4C23×C4711yescharacteristic
399C2×C22⋊C4—21no—
400C2×C22⋊C4—21no—
401C2×C22⋊C4—21no—
402C2×C42—21no—
403C2×C42—21no—
404C2×C42—21no—
405C2×C42C23×C4711yescharacteristic
406C2×C42C23×C4711yescharacteristic
407C2×C42C23×C4711yescharacteristic
408#107—41no—
409#106—41no—
410#106C2×C4×C4714yescomplemented
411#106C2×C4×C4714yescomplemented
412C4⋊C8C2×C4×C4714yescomplemented
413#102—22no—
414#102C2×C4×C4714yes—
415#102C2×C4×C4714yes—
416#102Q8×C4714yescomplemented
417#97—22no—
418#97—41no—
419C4×C8—41no—
420#95—21no—
421#95—21no—
422#95—21no—
423#95—21no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95—21no—
428#95—21no—
429#95D4×C4711yescharacteristic
430#95D4×C4711yescharacteristic
431C24—21no—
432C2×Q8—24no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×D4—21no—
436C2×D4—21no—
437C2×D4—21no—
438C2×D4C22×C4×C4712yes—
439C2×D4C2×Q8×C4712yes—
440C2×D4#41×C4712yes—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—24no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—42no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—42no—
453C22×C4—81no—
454C22×C4—81no—
455C22×C4—81no—
456C22×C4—81no—
457C22×C4C2×D4×C4711yescharacteristic
458C22×C4C2×D4×C4711yescharacteristic
459C22×C4C2×D4×C4711yescharacteristic
460C22×C4C2×D4×C4711yescharacteristic
461C22×C4C2×D4×C4711yescharacteristic
462C22×C4C2×D4×C4711yescharacteristic
463C22×C4C24×C4711yescharacteristic
464C2×C8—21no—
465C2×C8—21no—
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8C22×C4×C4712yes—
474C2×C8C22×C4×C4712yes—
475C2×C8C2×Q8×C4712yes—
476C4⋊C4—24no—
477C4⋊C4—22no—
478C4⋊C4—21no—
479C4⋊C4—21no—
480C4⋊C4—21no—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—41no—
489C4⋊C4—42no—
490C4⋊C4—42no—
491C4⋊C4—81no—
492C4⋊C4—81no—
493C4⋊C4C22×C4×C4712yes—
494C4⋊C4C22×C4×C4712yes—
495C4⋊C4C22×C4×C4712yes—
496C4⋊C4C2×Q8×C4712yes—
497C22⋊C4—24no—
498C22⋊C4—42no—
499C22⋊C4—42no—
500C42—21no—
501C42—21no—
502C42—21no—
503C42—21no—
504C42—42no—
505C42—42no—
506C42—42no—
507C42C22×C4×C4712yes—
508C42#41×C4712yes—
509C23—22no—
510C23—22no—
511C23—22no—
512C23—41no—
513C23—41no—
514C23—41no—
515C23—41no—
516C23C22×D4×C4711yescharacteristic
517Q8—48no—
518D4—22no—
519D4—22no—
520D4—22no—
521D4C4×Q8×C4714yescomplemented
522C2×C4—21no—
523C2×C4—21no—
524C2×C4—21no—
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—21no—
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—22no—
531C2×C4—21no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—22no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—41no—
542C2×C4—41no—
543C2×C4—41no—
544C2×C4—41no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—41no—
548C2×C4—41no—
549C2×C4—41no—
550C2×C4—41no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—84no—
559C2×C4—84no—
560C2×C4—84no—
561C2×C4C4×D4×C4712yes—
562C2×C4C4×D4×C4712yes—
563C2×C4AGL(1,ℤ/8)×C4712yes—
564C2×C4C23×C4×C4711yescharacteristic
565C2×C4C22×Q8×C4711yescharacteristic
566C2×C4C2×#41×C4711yescharacteristic
567C2×C4C2×#41×C4711yescharacteristic
568C2×C4H(5,𝔽2)×C4711yescharacteristic
569C2×C42−1+4×C4711yescharacteristic
570C8—22no—
571C8—22no—
572C8—22no—
573C8—41no—
574C22—24no—
575C22—42no—
576C22—42no—
577C22—42no—
578C22—42no—
579C22—42no—
580C22—42no—
581C22C2×C4×D4×C4711yescharacteristic
582C22C47×#54611yescharacteristic
583C22D4×Q8×C4711yescharacteristic
584C22C2×AGL(1,ℤ/8)×C4711yescharacteristic
585C22C47×#57511yescharacteristic
586C22C47×#57711yescharacteristic
587C22C47×#57711yescharacteristic
588C4—22no—
589C4—22no—
590C4—22no—
591C4—41no—
592C4—41no—
593C4—41no—
594C4—42no—
595C4—42no—
596C4—42no—
597C4—42no—
598C4—81no—
599C4—81no—
600C4—81no—
601C4C2×C4×Q8×C4711yescharacteristic
602C4C47×#52011yescharacteristic
603C4C47×#55211yescharacteristic
604C4C47×#55411yescharacteristic
605C2—44no—
606C2C47×#236011yescharacteristic
607C2C4×AGL(1,ℤ/8)×C4711yescharacteristic
608C2C47×#294911yescharacteristic
609C2C47×#330611yescharacteristic
610C2C47×#331111yescharacteristic
611C2C47×#338411yescharacteristic
612C2C47×#338811yescharacteristic
subgroupG/H
center, socleC23×C47C22×D4
commutatorC2×C4C23×C4×C47
Frattini, cosocleC22×C4C24×C47
prime radicalC22×D4×C47C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C47 ◁ C4×C4⋊C4×C47 ◁ G

Complements

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

NH ≅ G/Ntype
2. C47×#2365C2semidirect
4. C47×#1993C2semidirect
5. C47×#1949C2semidirect
6. C47×#1944C2semidirect
7. C47×#1941C2semidirect
8. C47×#1920C2semidirect
9. C47×#1919C2semidirect
12. C47×#1771C2semidirect
21. C47×#476C4semidirect
70. C4⋊Q8×C47C2×C4semidirect
103. #106×C47C2×C4semidirect
104. #106×C47C2×C4semidirect
105. C4⋊C8×C47C2×C4semidirect
109. #102×C47Q8semidirect
214. D4×C47C4×Q8semidirect
267. #22975C47direct (N × H)
300. #2365C2×C47semidirect
302. #1993C2×C47semidirect
303. #1949C2×C47semidirect
304. #1944C2×C47semidirect
305. #1941C2×C47semidirect
306. #1920C2×C47semidirect
307. #1919C2×C47semidirect
310. #1771C2×C47semidirect
327. #476C4×C47semidirect
366. C47#22975direct (N × H)
377. C4⋊Q8C2×C4×C47semidirect
410. #106C2×C4×C47semidirect
411. #106C2×C4×C47semidirect
412. C4⋊C8C2×C4×C47semidirect
416. #102Q8×C47semidirect
521. D4C4×Q8×C47semidirect

Maximal subgroups

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

subgroupindex
C2×C47×#4762
C47×#23652
C47×#23492
C47×#19932
C47×#19492
C47×#19442
C47×#19412
C47×#19202
C47×#19192
C47×#18642
C47×#18622
C47×#17712
C47×#17622
C4×#102×C472
#2297547