Finite Group Databasebeta

← C47×#24706 #26064404

Subgroups — C47×#24706 #26064404

Order 12032.

868 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C47×#478C211yesmaximal, characteristic, complemented
2C2×C47×#432C211yesmaximal, characteristic, complemented
3C47×#2851C211yesmaximal, characteristic, complemented
4C4×#121×C47C211yesmaximal, characteristic
5C47×#2077C211yesmaximal, characteristic, complemented
6C47×#2075C211yesmaximal, characteristic, complemented
7C47×#2034C211yesmaximal, characteristic
8C47×#2033C211yesmaximal, characteristic
9C47×#1989C211yesmaximal, characteristic, complemented
10C47×#1949C211yesmaximal, characteristic, complemented
11C47×#1944C211yesmaximal, characteristic, complemented
12C47×#1943C211yesmaximal, characteristic, complemented
13C47×#1936C211yesmaximal, characteristic, complemented
14C47×#1936C211yesmaximal, characteristic, complemented
15C47×#1804C211yesmaximal, characteristic, complemented
16C2×#125×C47C2211yescharacteristic
17C2×#121×C47C2211yescharacteristic
18C2×C4×D4×C47—21no—
19C2×C4×D4×C47C2211yescharacteristic
20C22×C42×C47C2211yescharacteristic
21C47×#478—24no—
22C47×#432—24no—
23C2×#107×C47C2211yescharacteristic
24C2×#107×C47C2211yescharacteristic
25C2×#106×C47C2211yescharacteristic
26C2×#106×C47C2211yescharacteristic
27C2×C4⋊C8×C47C2211yescharacteristic
28C2×C4⋊C8×C47C2211yescharacteristic
29C2×#102×C47C2211yescharacteristic
30C2×#102×C47C2211yescharacteristic
31C2×#102×C47C2211yescharacteristic
32C2×#102×C47C2211yescharacteristic
33C2×C22⋊C8×C47C2211yescharacteristic
34C2×C22⋊C8×C47C2211yescharacteristic
35C2×#97×C47C2211yescharacteristic
36C2×#97×C47C2211yescharacteristic
37C47×#390C2211yescharacteristic
38C47×#389C2211yescharacteristic
39C47×#389C2211yescharacteristic
40C47×#389C2211yescharacteristic
41C47×#388—21no—
42C47×#387—21no—
43C47×#387—21no—
44C47×#386—21no—
45C47×#385—21no—
46C47×#385—21no—
47C47×#382C2211yescharacteristic
48C47×#380C2211yescharacteristic
49C47×#380C2211yescharacteristic
50C47×#380C2211yescharacteristic
51C4×C4⋊C4×C47C2211yescharacteristic
52C4×C22⋊C4×C47—21no—
53C47×#340C2211yescharacteristic
54C47×#340C2211yescharacteristic
55C47×#340C2211yescharacteristic
56C47×#340C2211yescharacteristic
57C47×#340C2211yescharacteristic
58C47×#340C2211yescharacteristic
59C47×#340C2211yescharacteristic
60C47×#340C2211yescharacteristic
61C22×D4×C47—21no—
62C22×D4×C47C2311yescharacteristic
63C23×C4×C47—21no—
64C23×C4×C47D411yescharacteristic
65C23×C4×C47D411yescharacteristic
66C23×C4×C47C2311yescharacteristic
67C22×C8×C47C2311yescharacteristic
68C22×C8×C47C2311yescharacteristic
69C22×C8×C47C2311yescharacteristic
70C22×C8×C47C2311yescharacteristic
71#125×C47—22no—
72#125×C47—22no—
73#121×C47—22no—
74#121×C47—22no—
75C4×D4×C47—22no—
76C4×D4×C47—22no—
77C4×D4×C47—44no—
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×C47C2311yescharacteristic
84C2×C4⋊C4×C47C2311yescharacteristic
85C2×C4⋊C4×C47C2311yescharacteristic
86C2×C4⋊C4×C47C2311yescharacteristic
87C2×C4⋊C4×C47C2311yescharacteristic
88C2×C4⋊C4×C47C2311yescharacteristic
89C2×C4⋊C4×C47C2311yescharacteristic
90C2×C22⋊C4×C47—21no—
91C2×C22⋊C4×C47—21no—
92C2×C22⋊C4×C47—21no—
93C2×C22⋊C4×C47—21no—
94C2×C22⋊C4×C47—21no—
95C2×C22⋊C4×C47—21no—
96C2×C22⋊C4×C47—21no—
97C2×C42×C47—22no—
98C2×C42×C47—22no—
99C2×C42×C47—21no—
100C2×C42×C47D411yescharacteristic
101C2×C42×C47D411yescharacteristic
102C2×C42×C47C2311yescharacteristic
103C2×C42×C47C2311yescharacteristic
104#107×C47—22no—
105#107×C47—22no—
106#106×C47—22no—
107#106×C47—22no—
108C4⋊C8×C47—22no—
109C4⋊C8×C47D414yescomplemented
110#102×C47—22no—
111#102×C47—22no—
112#102×C47—22no—
113#102×C47—22no—
114C22⋊C8×C47—22no—
115C22⋊C8×C47—22no—
116#97×C47—22no—
117#97×C47—22no—
118#95×C47—21no—
119#95×C47—21no—
120#95×C47—21no—
121#95×C47—21no—
122#95×C47—21no—
123#95×C47—21no—
124#95×C47—21no—
125#95×C47—21no—
126#95×C47—21no—
127C24×C47—21no—
128C24×C47C2×D411yescharacteristic
129C2×D4×C47—24no—
130C2×D4×C47—21no—
131C2×D4×C47—21no—
132C2×D4×C47—21no—
133C2×D4×C47—21no—
134C2×D4×C47—21no—
135C2×D4×C47—42no—
136C2×D4×C47—42no—
137C2×D4×C47#4112yes—
138C22×C4×C47—22no—
139C22×C4×C47—21no—
140C22×C4×C47—22no—
141C22×C4×C47—22no—
142C22×C4×C47—21no—
143C22×C4×C47—21no—
144C22×C4×C47—21no—
145C22×C4×C47—21no—
146C22×C4×C47—21no—
147C22×C4×C47—21no—
148C22×C4×C47—21no—
149C22×C4×C47—21no—
150C22×C4×C47—21no—
151C22×C4×C47—21no—
152C22×C4×C47—21no—
153C22×C4×C47—21no—
154C22×C4×C47—41no—
155C22×C4×C47—41no—
156C22×C4×C47—41no—
157C22×C4×C47—42no—
158C22×C4×C47—42no—
159C22×C4×C47—42no—
160C22×C4×C47C2×D411yescharacteristic
161C22×C4×C47C2×D411yescharacteristic
162C22×C4×C47C2×D411yescharacteristic
163C22×C4×C47C2×D411yescharacteristic
164C22×C4×C47C2×D411yescharacteristic
165C22×C4×C47C2411yescharacteristic
166C2×C8×C47—21no—
167C2×C8×C47—21no—
168C2×C8×C47—21no—
169C2×C8×C47—21no—
170C2×C8×C47—21no—
171C2×C8×C47—21no—
172C2×C8×C47—21no—
173C2×C8×C47—21no—
174C2×C8×C47—21no—
175C2×C8×C47—21no—
176C2×C8×C47C2×D412yes—
177C2×C8×C47C2×D412yes—
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—21no—
190C4⋊C4×C47—21no—
191C4⋊C4×C47—42no—
192C4⋊C4×C47—42no—
193C4⋊C4×C47—42no—
194C4⋊C4×C47—42no—
195C4⋊C4×C47—42no—
196C4⋊C4×C47#4112yes—
197C22⋊C4×C47—24no—
198C22⋊C4×C47—42no—
199C22⋊C4×C47—42no—
200C22⋊C4×C47—42no—
201C22⋊C4×C47—42no—
202C22⋊C4×C47—42no—
203C22⋊C4×C47—42no—
204C42×C47—22no—
205C42×C47—22no—
206C42×C47—21no—
207C42×C47—21no—
208C42×C47—42no—
209C42×C47C2×D412yes—
210C42×C47#4112yes—
211C23×C47—21no—
212C23×C47—21no—
213C23×C47—21no—
214C23×C47—21no—
215C23×C47—21no—
216C23×C47—21no—
217C23×C47—22no—
218C23×C47—41no—
219C23×C47—41no—
220C23×C47—41no—
221C23×C47—41no—
222C23×C47—41no—
223C23×C47—41no—
224C23×C47AGL(1,ℤ/8)12yes—
225C23×C47C22×D411yescharacteristic
226D4×C47—22no—
227D4×C47—22no—
228D4×C47—48no—
229D4×C47—41no—
230D4×C47—41no—
231C2×C4×C47—21no—
232C2×C4×C47—21no—
233C2×C4×C47—21no—
234C2×C4×C47—21no—
235C2×C4×C47—21no—
236C2×C4×C47—21no—
237C2×C4×C47—21no—
238C2×C4×C47—21no—
239C2×C4×C47—22no—
240C2×C4×C47—21no—
241C2×C4×C47—21no—
242C2×C4×C47—21no—
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—44no—
246C2×C4×C47—44no—
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—41no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47—41no—
270C2×C4×C47—41no—
271C2×C4×C47—84no—
272C2×C4×C47#12112yes—
273C2×C4×C47#12112yes—
274C2×C4×C47C22×D411yescharacteristic
275C2×C4×C47C2×#4111yescharacteristic
276C2×C4×C47C2×#4111yescharacteristic
277C2×C4×C47C2×#4111yescharacteristic
278C2×C4×C472−1+411yescharacteristic
279C2×C4×C472−1+411yescharacteristic
280C8×C47—22no—
281C8×C47—22no—
282C8×C47—41no—
283C8×C47—41no—
284#24706C4711yesmaximal, characteristic, direct product factor, Sylow
285C22×C47—22no—
286C22×C47—22no—
287C22×C47—22no—
288C22×C47—41no—
289C22×C47—41no—
290C22×C47—41no—
291C22×C47—41no—
292C22×C47—42no—
293C22×C47—42no—
294C22×C47—42no—
295C22×C47—81no—
296C22×C47—81no—
297C22×C47—81no—
298C22×C47—81no—
299C22×C47C2×#12111yescharacteristic
300C22×C47#52511yescharacteristic
301C22×C47#53611yescharacteristic
302C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
303C22×C47#57511yescharacteristic
304C22×C47#57511yescharacteristic
305C22×C47#57511yescharacteristic
306C4×C47—22no—
307C4×C47—22no—
308C4×C47—42no—
309C4×C47—41no—
310C4×C47—41no—
311C4×C47—41no—
312C4×C47—81no—
313C4×C47—81no—
314C4×C47—81no—
315C4×C47—81no—
316C4×C47—81no—
317C4×C47—81no—
318C4×C47#54711yescharacteristic
319C4×C47#54811yescharacteristic
320C4×C47#55211yescharacteristic
321C4×C47#55611yescharacteristic
322C2×#478C2×C4711yescharacteristic, complemented
323C2×#432C2×C4711yescharacteristic, complemented
324#2851C2×C4711yescharacteristic, complemented
325C4×#121C2×C4711yescharacteristic
326#2077C2×C4711yescharacteristic, complemented
327#2075C2×C4711yescharacteristic, complemented
328#2034C2×C4711yescharacteristic
329#2033C2×C4711yescharacteristic
330#1989C2×C4711yescharacteristic, complemented
331#1949C2×C4711yescharacteristic, complemented
332#1944C2×C4711yescharacteristic, complemented
333#1943C2×C4711yescharacteristic, complemented
334#1936C2×C4711yescharacteristic, complemented
335#1936C2×C4711yescharacteristic, complemented
336#1804C2×C4711yescharacteristic, complemented
337C2×C47—42no—
338C2×C47—82no—
339C2×C47#241511yescharacteristic
340C2×C47#305411yescharacteristic
341C2×C47#305511yescharacteristic
342C2×C47#311111yescharacteristic
343C2×C47#311411yescharacteristic
344C2×C47#323411yescharacteristic
345C2×C47#324011yescharacteristic
346C2×#125C22×C4711yescharacteristic
347C2×#121C22×C4711yescharacteristic
348C2×C4×D4—21no—
349C2×C4×D4C22×C4711yescharacteristic
350C22×C42C22×C4711yescharacteristic
351#478—24no—
352#432—24no—
353C2×#107C22×C4711yescharacteristic
354C2×#107C22×C4711yescharacteristic
355C2×#106C22×C4711yescharacteristic
356C2×#106C22×C4711yescharacteristic
357C2×C4⋊C8C22×C4711yescharacteristic
358C2×C4⋊C8C22×C4711yescharacteristic
359C2×#102C22×C4711yescharacteristic
360C2×#102C22×C4711yescharacteristic
361C2×#102C22×C4711yescharacteristic
362C2×#102C22×C4711yescharacteristic
363C2×C22⋊C8C22×C4711yescharacteristic
364C2×C22⋊C8C22×C4711yescharacteristic
365C2×#97C22×C4711yescharacteristic
366C2×#97C22×C4711yescharacteristic
367#390C22×C4711yescharacteristic
368#389C22×C4711yescharacteristic
369#389C22×C4711yescharacteristic
370#389C22×C4711yescharacteristic
371#388—21no—
372#387—21no—
373#387—21no—
374#386—21no—
375#385—21no—
376#385—21no—
377#382C22×C4711yescharacteristic
378#380C22×C4711yescharacteristic
379#380C22×C4711yescharacteristic
380#380C22×C4711yescharacteristic
381C4×C4⋊C4C22×C4711yescharacteristic
382C4×C22⋊C4—21no—
383#340C22×C4711yescharacteristic
384#340C22×C4711yescharacteristic
385#340C22×C4711yescharacteristic
386#340C22×C4711yescharacteristic
387#340C22×C4711yescharacteristic
388#340C22×C4711yescharacteristic
389#340C22×C4711yescharacteristic
390#340C22×C4711yescharacteristic
391C47#2470611yescharacteristic, direct product factor, Sylow
392C22×D4—21no—
393C22×D4C23×C4711yescharacteristic
394C23×C4—21no—
395C23×C4D4×C4711yescharacteristic
396C23×C4D4×C4711yescharacteristic
397C23×C4C23×C4711yescharacteristic
398C22×C8C23×C4711yescharacteristic
399C22×C8C23×C4711yescharacteristic
400C22×C8C23×C4711yescharacteristic
401C22×C8C23×C4711yescharacteristic
402#125—22no—
403#125—22no—
404#121—22no—
405#121—22no—
406C4×D4—22no—
407C4×D4—22no—
408C4×D4—44no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4C23×C4711yescharacteristic
415C2×C4⋊C4C23×C4711yescharacteristic
416C2×C4⋊C4C23×C4711yescharacteristic
417C2×C4⋊C4C23×C4711yescharacteristic
418C2×C4⋊C4C23×C4711yescharacteristic
419C2×C4⋊C4C23×C4711yescharacteristic
420C2×C4⋊C4C23×C4711yescharacteristic
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C42—22no—
429C2×C42—22no—
430C2×C42—21no—
431C2×C42D4×C4711yescharacteristic
432C2×C42D4×C4711yescharacteristic
433C2×C42C23×C4711yescharacteristic
434C2×C42C23×C4711yescharacteristic
435#107—22no—
436#107—22no—
437#106—22no—
438#106—22no—
439C4⋊C8—22no—
440C4⋊C8D4×C4714yescomplemented
441#102—22no—
442#102—22no—
443#102—22no—
444#102—22no—
445C22⋊C8—22no—
446C22⋊C8—22no—
447#97—22no—
448#97—22no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458C24—21no—
459C24C2×D4×C4711yescharacteristic
460C2×D4—24no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—42no—
467C2×D4—42no—
468C2×D4#41×C4712yes—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—41no—
486C22×C4—41no—
487C22×C4—41no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4C2×D4×C4711yescharacteristic
492C22×C4C2×D4×C4711yescharacteristic
493C22×C4C2×D4×C4711yescharacteristic
494C22×C4C2×D4×C4711yescharacteristic
495C22×C4C2×D4×C4711yescharacteristic
496C22×C4C24×C4711yescharacteristic
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8C2×D4×C4712yes—
508C2×C8C2×D4×C4712yes—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—42no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4#41×C4712yes—
528C22⋊C4—24no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C42—22no—
536C42—22no—
537C42—21no—
538C42—21no—
539C42—42no—
540C42C2×D4×C4712yes—
541C42#41×C4712yes—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—22no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23AGL(1,ℤ/8)×C4712yes—
556C23C22×D4×C4711yescharacteristic
557D4—22no—
558D4—22no—
559D4—48no—
560D4—41no—
561D4—41no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—44no—
577C2×C4—44no—
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—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—84no—
603C2×C4#121×C4712yes—
604C2×C4#121×C4712yes—
605C2×C4C22×D4×C4711yescharacteristic
606C2×C4C2×#41×C4711yescharacteristic
607C2×C4C2×#41×C4711yescharacteristic
608C2×C4C2×#41×C4711yescharacteristic
609C2×C42−1+4×C4711yescharacteristic
610C2×C42−1+4×C4711yescharacteristic
611C8—22no—
612C8—22no—
613C8—41no—
614C8—41no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—42no—
623C22—42no—
624C22—42no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22C2×#121×C4711yescharacteristic
630C22C47×#52511yescharacteristic
631C22C47×#53611yescharacteristic
632C22C2×AGL(1,ℤ/8)×C4711yescharacteristic
633C22C47×#57511yescharacteristic
634C22C47×#57511yescharacteristic
635C22C47×#57511yescharacteristic
636C4—22no—
637C4—22no—
638C4—41no—
639C4—41no—
640C4—42no—
641C4—41no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4C47×#54711yescharacteristic
649C4C47×#54811yescharacteristic
650C4C47×#55211yescharacteristic
651C4C47×#55611yescharacteristic
652C2—42no—
653C2—82no—
654C2C47×#241511yescharacteristic
655C2C47×#305411yescharacteristic
656C2C47×#305511yescharacteristic
657C2C47×#311111yescharacteristic
658C2C47×#311411yescharacteristic
659C2C47×#323411yescharacteristic
660C2C47×#324011yescharacteristic
subgroupG/H
center, socleC23×C47C22×D4
commutator, Frattini, cosocleC22×C4C24×C47
prime radicalC2×#121×C47C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C47 ◁ C22×C42×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C47×#478C2semidirect
2. C2×C47×#432C2semidirect
3. C47×#2851C2semidirect
5. C47×#2077C2semidirect
6. C47×#2075C2semidirect
9. C47×#1989C2semidirect
10. C47×#1949C2semidirect
11. C47×#1944C2semidirect
12. C47×#1943C2semidirect
13. C47×#1936C2semidirect
14. C47×#1936C2semidirect
15. C47×#1804C2semidirect
109. C4⋊C8×C47D4semidirect
284. #24706C47direct (N × H)
322. C2×#478C2×C47semidirect
323. C2×#432C2×C47semidirect
324. #2851C2×C47semidirect
326. #2077C2×C47semidirect
327. #2075C2×C47semidirect
330. #1989C2×C47semidirect
331. #1949C2×C47semidirect
332. #1944C2×C47semidirect
333. #1943C2×C47semidirect
334. #1936C2×C47semidirect
335. #1936C2×C47semidirect
336. #1804C2×C47semidirect
391. C47#24706direct (N × H)
440. C4⋊C8D4×C47semidirect

Maximal subgroups

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

subgroupindex
C2×C47×#4782
C2×C47×#4322
C47×#28512
C4×#121×C472
C47×#20772
C47×#20752
C47×#20342
C47×#20332
C47×#19892
C47×#19492
C47×#19442
C47×#19432
C47×#19362
C47×#18042
#2470647