Finite Group Databasebeta

← C47×#19788 #26059486

Subgroups — C47×#19788 #26059486

Order 12032.

704 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3366C211yesmaximal, characteristic, complemented
2C47×#3295C211yesmaximal, characteristic, complemented
3C47×#3294C211yesmaximal, characteristic, complemented
4C47×#3284C211yesmaximal, characteristic, complemented
5C47×#1717C211yesmaximal, characteristic, complemented
6C47×#1702C211yesmaximal, characteristic, complemented
7C47×#1677C211yesmaximal, characteristic, complemented
8C47×#1677C211yesmaximal, characteristic, complemented
9C47×#1665C211yesmaximal, characteristic, complemented
10C47×#1644C211yesmaximal, characteristic, complemented
11C47×#1635C211yesmaximal, characteristic, complemented
12C47×#1621C211yesmaximal, characteristic, complemented
13C47×#1619C211yesmaximal, characteristic, complemented
14C47×#1582C211yesmaximal, characteristic, complemented
15C47×#1580C211yesmaximal, characteristic, complemented
16C2×#135×C47—21no—
17C47×#554C2211yescharacteristic
18C47×#550C2211yescharacteristic, complemented
19C47×#547C2211yescharacteristic
20D42×C47C2211yescharacteristic
21C47×#493C2211yescharacteristic
22C47×#492C2211yescharacteristic, complemented
23C47×#490—21no—
24C47×#487C2211yescharacteristic, complemented
25C47×#486C2211yescharacteristic
26C47×#486C2211yescharacteristic
27C47×#486C2211yescharacteristic, complemented
28C47×#481—21no—
29C47×#480—21no—
30C47×#478—21no—
31C47×#476C2211yescharacteristic
32C47×#476C2211yescharacteristic, complemented
33C47×#474C2211yescharacteristic
34C47×#466—21no—
35C47×#465—21no—
36C47×#465—21no—
37C47×#462C2211yescharacteristic, complemented
38C47×#460C2211yescharacteristic
39C47×#459—21no—
40C47×#459C2211yescharacteristic
41C47×#459C2211yescharacteristic
42C47×#459C2211yescharacteristic
43C47×#452—21no—
44C47×#450—21no—
45C47×#449—21no—
46C47×#447—21no—
47C47×#446C2211yescharacteristic, complemented
48C47×#442—21no—
49C4×SD16×C47C2211yescharacteristic
50C4×D8×C47C2211yescharacteristic
51C8×D4×C47C2211yescharacteristic
52C8×D4×C47C2211yescharacteristic
53C8×D4×C47C2211yescharacteristic, complemented
54C2×#102×C47—21no—
55C2×#102×C47—21no—
56C47×#334C2211yescharacteristic, complemented
57C47×#334C2211yescharacteristic, complemented
58C47×#333C2211yescharacteristic, complemented
59C47×#332C2211yescharacteristic, complemented
60C47×#331C2211yescharacteristic
61C47×#331C2211yescharacteristic, complemented
62C47×Q8⋊C8C2211yescharacteristic, complemented
63C47×D4⋊C8C2211yescharacteristic
64C47×D4⋊C8C2211yescharacteristic
65C47×D4⋊C8C2211yescharacteristic, complemented
66C47×#322C2211yescharacteristic, complemented
67C2×#41×C47—21no—
68C2×#41×C47—21no—
69C22×D4×C47—21no—
70C22×D4×C47—21no—
71#135×C47—44no—
72C2×Q16×C47—21no—
73C2×SD16×C47—21no—
74C2×SD16×C47—21no—
75C2×SD16×C47—21no—
76C2×SD16×C47D411yescharacteristic
77C2×D8×C47—21no—
78C2×D8×C47—21no—
79C2×D8×C47—21no—
80C2×D8×C47—41no—
81C2×D8×C47D411yescharacteristic
82C22×C8×C47—21no—
83C22×C8×C47—21no—
84C22×C8×C47—21no—
85C4⋊Q8×C47C2311yescharacteristic
86C4⋊Q8×C47C2311yescharacteristic
87#127×C47—21no—
88#127×C47C2311yescharacteristic
89#127×C47C2311yescharacteristic
90#125×C47—21no—
91#123×C47—41no—
92C22⋊Q8×C47—21no—
93C22⋊Q8×C47—21no—
94C22⋊Q8×C47—41no—
95#121×C47—21no—
96#121×C47—21no—
97#121×C47—21no—
98#121×C47—21no—
99#121×C47—41no—
100#120×C47—41no—
101C4×Q8×C47C2311yescharacteristic
102C4×D4×C47—21no—
103C4×D4×C47—21no—
104C4×D4×C47C2311yescharacteristic
105C4×D4×C47C2311yescharacteristic
106C4×D4×C47C2311yescharacteristic
107C2×C4⋊C4×C47—21no—
108C2×C4⋊C4×C47—21no—
109#107×C47—21no—
110#107×C47D411yescharacteristic
111#106×C47—21no—
112#106×C47—21no—
113#106×C47D411yescharacteristic
114C4⋊C8×C47—21no—
115C4⋊C8×C47C2311yescharacteristic
116C4⋊C8×C47C2311yescharacteristic
117C4⋊C8×C47C2311yescharacteristic
118C4⋊C8×C47C2311yescharacteristic
119#103×C47—21no—
120#103×C47—41no—
121#103×C47D411yescharacteristic
122#102×C47—21no—
123#102×C47—21no—
124#102×C47—21no—
125#102×C47—21no—
126#102×C47—21no—
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×C47D411yescharacteristic
136#102×C47D411yescharacteristic
137#102×C47D411yescharacteristic
138C22⋊C8×C47—21no—
139C22⋊C8×C47—21no—
140C22⋊C8×C47—21no—
141#97×C47—21no—
142C4×C8×C47C2311yescharacteristic
143C4×C8×C47C2311yescharacteristic
144C4×C8×C47C2311yescharacteristic
145C24×C47—41no—
146#41×C47—42no—
147#41×C47—42no—
148#41×C47—81no—
149#41×C47—81no—
150C2×Q8×C47—21no—
151C2×Q8×C47—21no—
152C2×Q8×C47C2×D411yescharacteristic
153C2×D4×C47—21no—
154C2×D4×C47—21no—
155C2×D4×C47—21no—
156C2×D4×C47—21no—
157C2×D4×C47—21no—
158C2×D4×C47—21no—
159C2×D4×C47—41no—
160C2×D4×C47—41no—
161C2×D4×C47—41no—
162C2×D4×C47—41no—
163C2×D4×C47—42no—
164C2×D4×C47—42no—
165C2×D4×C47—41no—
166C2×D4×C47—81no—
167C2×D4×C47—81no—
168C2×D4×C47C2×D411yescharacteristic
169C2×D4×C47C2×D411yescharacteristic
170C2×D4×C47C2×D411yescharacteristic
171C22×C4×C47—21no—
172C22×C4×C47—21no—
173C22×C4×C47—21no—
174C22×C4×C47—41no—
175C22×C4×C47—41no—
176C22×C4×C47—41no—
177Q16×C47—42no—
178SD16×C47—22no—
179SD16×C47—42no—
180SD16×C47—81no—
181SD16×C47—81no—
182D8×C47—22no—
183D8×C47—42no—
184D8×C47—42no—
185D8×C47—81no—
186D8×C47—82no—
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—81no—
194C2×C8×C47—81no—
195C2×C8×C47C2×D411yescharacteristic
196C2×C8×C47C2×D411yescharacteristic
197C2×C8×C47C2×D411yescharacteristic
198C2×C8×C47C2×D411yescharacteristic
199C4⋊C4×C47—21no—
200C4⋊C4×C47—21no—
201C4⋊C4×C47—21no—
202C4⋊C4×C47—21no—
203C4⋊C4×C47—21no—
204C4⋊C4×C47—41no—
205C4⋊C4×C47—41no—
206C4⋊C4×C47—41no—
207C4⋊C4×C47C2×D411yescharacteristic
208C4⋊C4×C47C2×D411yescharacteristic
209C4⋊C4×C47C2×D411yescharacteristic
210C4⋊C4×C47C2×D411yescharacteristic
211C22⋊C4×C47—21no—
212C22⋊C4×C47—21no—
213C22⋊C4×C47—21no—
214C22⋊C4×C47—41no—
215C22⋊C4×C47—41no—
216C22⋊C4×C47—41no—
217C22⋊C4×C47—41no—
218C42×C47—21no—
219C42×C47C2411yescharacteristic
220C23×C47—21no—
221C23×C47—21no—
222C23×C47—21no—
223C23×C47—41no—
224C23×C47—41no—
225C23×C47—82no—
226C23×C47—82no—
227C23×C47—161no—
228Q8×C47—21no—
229Q8×C47—21no—
230Q8×C47—41no—
231Q8×C47—41no—
232Q8×C47—81no—
233D4×C47—21no—
234D4×C47—21no—
235D4×C47—21no—
236D4×C47—21no—
237D4×C47—41no—
238D4×C47—41no—
239D4×C47—41no—
240D4×C47—41no—
241D4×C47—41no—
242D4×C47—41no—
243D4×C47—41no—
244D4×C47—41no—
245D4×C47—81no—
246D4×C47—81no—
247D4×C47—82no—
248D4×C47—82no—
249D4×C47—82no—
250D4×C47—82no—
251D4×C47—161no—
252D4×C47#13512yescomplemented
253D4×C47AGL(1,ℤ/8)12yes—
254C2×C4×C47—21no—
255C2×C4×C47—21no—
256C2×C4×C47—21no—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
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—82no—
268C2×C4×C47—82no—
269C2×C4×C47—161no—
270C2×C4×C47C22×D411yescharacteristic
271C2×C4×C47C22×D411yescharacteristic
272C2×C4×C47H(5,𝔽2)11yescharacteristic
273C8×C47—21no—
274C8×C47—21no—
275C8×C47—21no—
276C8×C47—21no—
277C8×C47—41no—
278C8×C47—41no—
279C8×C47—41no—
280C8×C47—41no—
281C8×C47—41no—
282#19788C4711yesmaximal, characteristic, direct product factor, Sylow
283C22×C47—22no—
284C22×C47—22no—
285C22×C47—41no—
286C22×C47—41no—
287C22×C47—41no—
288C22×C47—41no—
289C22×C47—41no—
290C22×C47—41no—
291C22×C47—41no—
292C22×C47—81no—
293C22×C47—81no—
294C22×C47—81no—
295C22×C47—81no—
296C22×C47—81no—
297C22×C47—81no—
298C22×C47—164no—
299C22×C47D4211yescharacteristic
300C4×C47—21no—
301C4×C47—41no—
302C4×C47—41no—
303C4×C47—41no—
304C4×C47—41no—
305C4×C47—41no—
306C4×C47—81no—
307C4×C47—81no—
308C4×C47C2×#13511yescharacteristic
309C4×C47C2×AGL(1,ℤ/8)11yescharacteristic
310C4×C47#57611yescharacteristic
311C4×C47#57711yescharacteristic
312#3366C2×C4711yescharacteristic, complemented
313#3295C2×C4711yescharacteristic, complemented
314#3294C2×C4711yescharacteristic, complemented
315#3284C2×C4711yescharacteristic, complemented
316#1717C2×C4711yescharacteristic, complemented
317#1702C2×C4711yescharacteristic, complemented
318#1677C2×C4711yescharacteristic, complemented
319#1677C2×C4711yescharacteristic, complemented
320#1665C2×C4711yescharacteristic, complemented
321#1644C2×C4711yescharacteristic, complemented
322#1635C2×C4711yescharacteristic, complemented
323#1621C2×C4711yescharacteristic, complemented
324#1619C2×C4711yescharacteristic, complemented
325#1582C2×C4711yescharacteristic, complemented
326#1580C2×C4711yescharacteristic, complemented
327C2×C47—42no—
328C2×C47—42no—
329C2×C47—81no—
330C2×C47—161no—
331C2×C47—161no—
332C2×C47#326411yescharacteristic
333C2×C47#328211yescharacteristic
334C2×C47#328811yescharacteristic
335C2×#135—21no—
336#554C22×C4711yescharacteristic
337#550C22×C4711yescharacteristic, complemented
338#547C22×C4711yescharacteristic
339D42C22×C4711yescharacteristic
340#493C22×C4711yescharacteristic
341#492C22×C4711yescharacteristic, complemented
342#490—21no—
343#487C22×C4711yescharacteristic, complemented
344#486C22×C4711yescharacteristic
345#486C22×C4711yescharacteristic
346#486C22×C4711yescharacteristic, complemented
347#481—21no—
348#480—21no—
349#478—21no—
350#476C22×C4711yescharacteristic
351#476C22×C4711yescharacteristic, complemented
352#474C22×C4711yescharacteristic
353#466—21no—
354#465—21no—
355#465—21no—
356#462C22×C4711yescharacteristic, complemented
357#460C22×C4711yescharacteristic
358#459—21no—
359#459C22×C4711yescharacteristic
360#459C22×C4711yescharacteristic
361#459C22×C4711yescharacteristic
362#452—21no—
363#450—21no—
364#449—21no—
365#447—21no—
366#446C22×C4711yescharacteristic, complemented
367#442—21no—
368C4×SD16C22×C4711yescharacteristic
369C4×D8C22×C4711yescharacteristic
370C8×D4C22×C4711yescharacteristic
371C8×D4C22×C4711yescharacteristic
372C8×D4C22×C4711yescharacteristic, complemented
373C2×#102—21no—
374C2×#102—21no—
375#334C22×C4711yescharacteristic, complemented
376#334C22×C4711yescharacteristic, complemented
377#333C22×C4711yescharacteristic, complemented
378#332C22×C4711yescharacteristic, complemented
379#331C22×C4711yescharacteristic
380#331C22×C4711yescharacteristic, complemented
381Q8⋊C8C22×C4711yescharacteristic, complemented
382D4⋊C8C22×C4711yescharacteristic
383D4⋊C8C22×C4711yescharacteristic
384D4⋊C8C22×C4711yescharacteristic, complemented
385#322C22×C4711yescharacteristic, complemented
386C47#1978811yescharacteristic, direct product factor, Sylow
387C2×#41—21no—
388C2×#41—21no—
389C22×D4—21no—
390C22×D4—21no—
391#135—44no—
392C2×Q16—21no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16—21no—
396C2×SD16D4×C4711yescharacteristic
397C2×D8—21no—
398C2×D8—21no—
399C2×D8—21no—
400C2×D8—41no—
401C2×D8D4×C4711yescharacteristic
402C22×C8—21no—
403C22×C8—21no—
404C22×C8—21no—
405C4⋊Q8C23×C4711yescharacteristic
406C4⋊Q8C23×C4711yescharacteristic
407#127—21no—
408#127C23×C4711yescharacteristic
409#127C23×C4711yescharacteristic
410#125—21no—
411#123—41no—
412C22⋊Q8—21no—
413C22⋊Q8—21no—
414C22⋊Q8—41no—
415#121—21no—
416#121—21no—
417#121—21no—
418#121—21no—
419#121—41no—
420#120—41no—
421C4×Q8C23×C4711yescharacteristic
422C4×D4—21no—
423C4×D4—21no—
424C4×D4C23×C4711yescharacteristic
425C4×D4C23×C4711yescharacteristic
426C4×D4C23×C4711yescharacteristic
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429#107—21no—
430#107D4×C4711yescharacteristic
431#106—21no—
432#106—21no—
433#106D4×C4711yescharacteristic
434C4⋊C8—21no—
435C4⋊C8C23×C4711yescharacteristic
436C4⋊C8C23×C4711yescharacteristic
437C4⋊C8C23×C4711yescharacteristic
438C4⋊C8C23×C4711yescharacteristic
439#103—21no—
440#103—41no—
441#103D4×C4711yescharacteristic
442#102—21no—
443#102—21no—
444#102—21no—
445#102—21no—
446#102—21no—
447#102—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102D4×C4711yescharacteristic
456#102D4×C4711yescharacteristic
457#102D4×C4711yescharacteristic
458C22⋊C8—21no—
459C22⋊C8—21no—
460C22⋊C8—21no—
461#97—21no—
462C4×C8C23×C4711yescharacteristic
463C4×C8C23×C4711yescharacteristic
464C4×C8C23×C4711yescharacteristic
465C24—41no—
466#41—42no—
467#41—42no—
468#41—81no—
469#41—81no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8C2×D4×C4711yescharacteristic
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—41no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4C2×D4×C4711yescharacteristic
489C2×D4C2×D4×C4711yescharacteristic
490C2×D4C2×D4×C4711yescharacteristic
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497Q16—42no—
498SD16—22no—
499SD16—42no—
500SD16—81no—
501SD16—81no—
502D8—22no—
503D8—42no—
504D8—42no—
505D8—81no—
506D8—82no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—42no—
513C2×C8—81no—
514C2×C8—81no—
515C2×C8C2×D4×C4711yescharacteristic
516C2×C8C2×D4×C4711yescharacteristic
517C2×C8C2×D4×C4711yescharacteristic
518C2×C8C2×D4×C4711yescharacteristic
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4—41no—
527C4⋊C4C2×D4×C4711yescharacteristic
528C4⋊C4C2×D4×C4711yescharacteristic
529C4⋊C4C2×D4×C4711yescharacteristic
530C4⋊C4C2×D4×C4711yescharacteristic
531C22⋊C4—21no—
532C22⋊C4—21no—
533C22⋊C4—21no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C42—21no—
539C42C24×C4711yescharacteristic
540C23—21no—
541C23—21no—
542C23—21no—
543C23—41no—
544C23—41no—
545C23—82no—
546C23—82no—
547C23—161no—
548Q8—21no—
549Q8—21no—
550Q8—41no—
551Q8—41no—
552Q8—81no—
553D4—21no—
554D4—21no—
555D4—21no—
556D4—21no—
557D4—41no—
558D4—41no—
559D4—41no—
560D4—41no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—81no—
566D4—81no—
567D4—82no—
568D4—82no—
569D4—82no—
570D4—82no—
571D4—161no—
572D4#135×C4712yescomplemented
573D4AGL(1,ℤ/8)×C4712yes—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
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—82no—
588C2×C4—82no—
589C2×C4—161no—
590C2×C4C22×D4×C4711yescharacteristic
591C2×C4C22×D4×C4711yescharacteristic
592C2×C4H(5,𝔽2)×C4711yescharacteristic
593C8—21no—
594C8—21no—
595C8—21no—
596C8—21no—
597C8—41no—
598C8—41no—
599C8—41no—
600C8—41no—
601C8—41no—
602C22—22no—
603C22—22no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—81no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—164no—
618C22D42×C4711yescharacteristic
619C4—21no—
620C4—41no—
621C4—41no—
622C4—41no—
623C4—41no—
624C4—41no—
625C4—81no—
626C4—81no—
627C4C2×#135×C4711yescharacteristic
628C4C2×AGL(1,ℤ/8)×C4711yescharacteristic
629C4C47×#57611yescharacteristic
630C4C47×#57711yescharacteristic
631C2—42no—
632C2—42no—
633C2—81no—
634C2—161no—
635C2—161no—
636C2C47×#326411yescharacteristic
637C2C47×#328211yescharacteristic
638C2C47×#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×#3366C2semidirect
2. C47×#3295C2semidirect
3. C47×#3294C2semidirect
4. C47×#3284C2semidirect
5. C47×#1717C2semidirect
6. C47×#1702C2semidirect
7. C47×#1677C2semidirect
8. C47×#1677C2semidirect
9. C47×#1665C2semidirect
10. C47×#1644C2semidirect
11. C47×#1635C2semidirect
12. C47×#1621C2semidirect
13. C47×#1619C2semidirect
14. C47×#1582C2semidirect
15. C47×#1580C2semidirect
18. C47×#550C22semidirect
22. C47×#492C22semidirect
24. C47×#487C22semidirect
27. C47×#486C22semidirect
32. C47×#476C22semidirect
37. C47×#462C22semidirect
47. C47×#446C22semidirect
53. C8×D4×C47C22semidirect
56. C47×#334C22semidirect
57. C47×#334C22semidirect
58. C47×#333C22semidirect
59. C47×#332C22semidirect
61. C47×#331C22semidirect
62. C47×Q8⋊C8C22semidirect
65. C47×D4⋊C8C22semidirect
66. C47×#322C22semidirect
252. D4×C47#135semidirect
282. #19788C47direct (N × H)
312. #3366C2×C47semidirect
313. #3295C2×C47semidirect
314. #3294C2×C47semidirect
315. #3284C2×C47semidirect
316. #1717C2×C47semidirect
317. #1702C2×C47semidirect
318. #1677C2×C47semidirect
319. #1677C2×C47semidirect
320. #1665C2×C47semidirect
321. #1644C2×C47semidirect
322. #1635C2×C47semidirect
323. #1621C2×C47semidirect
324. #1619C2×C47semidirect
325. #1582C2×C47semidirect
326. #1580C2×C47semidirect
337. #550C22×C47semidirect
341. #492C22×C47semidirect
343. #487C22×C47semidirect
346. #486C22×C47semidirect
351. #476C22×C47semidirect
356. #462C22×C47semidirect
366. #446C22×C47semidirect
372. C8×D4C22×C47semidirect
375. #334C22×C47semidirect
376. #334C22×C47semidirect
377. #333C22×C47semidirect
378. #332C22×C47semidirect
380. #331C22×C47semidirect
381. Q8⋊C8C22×C47semidirect
384. D4⋊C8C22×C47semidirect
385. #322C22×C47semidirect
386. C47#19788direct (N × H)
572. D4#135×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#33662
C47×#32952
C47×#32942
C47×#32842
C47×#17172
C47×#17022
C47×#16772
C47×#16652
C47×#16442
C47×#16352
C47×#16212
C47×#16192
C47×#15822
C47×#15802
#1978847